id	sid	tid	token	lemma	pos
ejpam-5567	1	1	european	european	PROPN
ejpam-5567	1	2	journal	journal	PROPN
ejpam-5567	1	3	of	of	ADP
ejpam-5567	1	4	pure	pure	ADJ
ejpam-5567	1	5	and	and	CCONJ
ejpam-5567	1	6	applied	applied	ADJ
ejpam-5567	1	7	mathematics	mathematic	NOUN
ejpam-5567	1	8	2025	2025	NUM
ejpam-5567	1	9	,	,	PUNCT
ejpam-5567	1	10	vol	vol	NOUN
ejpam-5567	1	11	.	.	PROPN
ejpam-5567	1	12	18	18	NUM
ejpam-5567	1	13	,	,	PUNCT
ejpam-5567	1	14	issue	issue	NOUN
ejpam-5567	1	15	1	1	NUM
ejpam-5567	1	16	,	,	PUNCT
ejpam-5567	1	17	article	article	NOUN
ejpam-5567	1	18	number	number	NOUN
ejpam-5567	1	19	5567	5567	NUM
ejpam-5567	1	20	issn	issn	PROPN
ejpam-5567	1	21	1307	1307	NUM
ejpam-5567	1	22	-	-	SYM
ejpam-5567	1	23	5543	5543	NUM
ejpam-5567	1	24	–	–	PUNCT
ejpam-5567	1	25	ejpam.com	ejpam.com	X
ejpam-5567	1	26	published	publish	VERB
ejpam-5567	1	27	by	by	ADP
ejpam-5567	1	28	new	new	PROPN
ejpam-5567	1	29	york	york	PROPN
ejpam-5567	1	30	business	business	PROPN
ejpam-5567	1	31	global	global	ADJ
ejpam-5567	1	32	analysis	analysis	NOUN
ejpam-5567	1	33	of	of	ADP
ejpam-5567	1	34	some	some	DET
ejpam-5567	1	35	structures	structure	NOUN
ejpam-5567	1	36	in	in	ADP
ejpam-5567	1	37	ternary	ternary	ADJ
ejpam-5567	1	38	soft	soft	ADJ
ejpam-5567	1	39	topological	topological	ADJ
ejpam-5567	1	40	spaces	space	NOUN
ejpam-5567	1	41	mubashir	mubashir	PROPN
ejpam-5567	1	42	nawaz1	nawaz1	PROPN
ejpam-5567	1	43	,	,	PUNCT
ejpam-5567	1	44	yuxin	yuxin	PROPN
ejpam-5567	1	45	liu2,∗	liu2,∗	PROPN
ejpam-5567	1	46	,	,	PUNCT
ejpam-5567	1	47	seethalakshmi	seethalakshmi	PROPN
ejpam-5567	1	48	ramaswamy3	ramaswamy3	PROPN
ejpam-5567	1	49	,	,	PUNCT
ejpam-5567	1	50	maha	maha	PROPN
ejpam-5567	1	51	mohammed	mohammed	PROPN
ejpam-5567	1	52	saeed4	saeed4	PROPN
ejpam-5567	1	53	,	,	PUNCT
ejpam-5567	1	54	arif	arif	PROPN
ejpam-5567	1	55	mehmood1	mehmood1	PROPN
ejpam-5567	1	56	1	1	NUM
ejpam-5567	1	57	department	department	NOUN
ejpam-5567	1	58	of	of	ADP
ejpam-5567	1	59	mathematics	mathematics	PROPN
ejpam-5567	1	60	,	,	PUNCT
ejpam-5567	1	61	institute	institute	PROPN
ejpam-5567	1	62	of	of	ADP
ejpam-5567	1	63	numerical	numerical	PROPN
ejpam-5567	1	64	sciences	sciences	PROPN
ejpam-5567	1	65	,	,	PUNCT
ejpam-5567	1	66	gomal	gomal	ADJ
ejpam-5567	1	67	university	university	NOUN
ejpam-5567	1	68	,	,	PUNCT
ejpam-5567	1	69	dera	dera	PROPN
ejpam-5567	1	70	ismail	ismail	PROPN
ejpam-5567	1	71	khan	khan	PROPN
ejpam-5567	1	72	,	,	PUNCT
ejpam-5567	1	73	29050	29050	NUM
ejpam-5567	1	74	,	,	PUNCT
ejpam-5567	1	75	kpk	kpk	PROPN
ejpam-5567	1	76	,	,	PUNCT
ejpam-5567	1	77	pakistan	pakistan	PROPN
ejpam-5567	1	78	2	2	NUM
ejpam-5567	1	79	school	school	NOUN
ejpam-5567	1	80	of	of	ADP
ejpam-5567	1	81	science	science	NOUN
ejpam-5567	1	82	,	,	PUNCT
ejpam-5567	1	83	dalian	dalian	PROPN
ejpam-5567	1	84	maritime	maritime	PROPN
ejpam-5567	1	85	university	university	PROPN
ejpam-5567	1	86	,	,	PUNCT
ejpam-5567	1	87	dalian	dalian	PROPN
ejpam-5567	1	88	,	,	PUNCT
ejpam-5567	1	89	116026	116026	NUM
ejpam-5567	1	90	,	,	PUNCT
ejpam-5567	1	91	p.	p.	PROPN
ejpam-5567	1	92	r.	r.	PROPN
ejpam-5567	2	1	china	china	PROPN
ejpam-5567	2	2	3	3	NUM
ejpam-5567	2	3	department	department	PROPN
ejpam-5567	2	4	of	of	ADP
ejpam-5567	2	5	mathematics	mathematics	PROPN
ejpam-5567	2	6	(	(	PUNCT
ejpam-5567	2	7	h	h	NOUN
ejpam-5567	2	8	and	and	CCONJ
ejpam-5567	2	9	s	s	NOUN
ejpam-5567	2	10	)	)	PUNCT
ejpam-5567	2	11	,	,	PUNCT
ejpam-5567	2	12	rajalakshmi	rajalakshmi	PROPN
ejpam-5567	2	13	institute	institute	PROPN
ejpam-5567	2	14	of	of	ADP
ejpam-5567	2	15	technology	technology	PROPN
ejpam-5567	2	16	,	,	PUNCT
ejpam-5567	2	17	kuthambakkam	kuthambakkam	NOUN
ejpam-5567	2	18	,	,	PUNCT
ejpam-5567	2	19	chennai	chennai	PROPN
ejpam-5567	2	20	600124	600124	NUM
ejpam-5567	2	21	,	,	PUNCT
ejpam-5567	2	22	tamilnadu	tamilnadu	PROPN
ejpam-5567	2	23	,	,	PUNCT
ejpam-5567	2	24	india	india	PROPN
ejpam-5567	2	25	.	.	PROPN
ejpam-5567	2	26	4	4	NUM
ejpam-5567	2	27	department	department	NOUN
ejpam-5567	2	28	of	of	ADP
ejpam-5567	2	29	mathematics	mathematic	NOUN
ejpam-5567	2	30	,	,	PUNCT
ejpam-5567	2	31	faculty	faculty	NOUN
ejpam-5567	2	32	of	of	ADP
ejpam-5567	2	33	sciences	science	NOUN
ejpam-5567	2	34	,	,	PUNCT
ejpam-5567	2	35	king	king	NOUN
ejpam-5567	2	36	abdulaziz	abdulaziz	PROPN
ejpam-5567	2	37	university	university	PROPN
ejpam-5567	2	38	,	,	PUNCT
ejpam-5567	2	39	p.o	p.o	PROPN
ejpam-5567	2	40	.	.	PROPN
ejpam-5567	2	41	box	box	PROPN
ejpam-5567	2	42	80203	80203	NUM
ejpam-5567	2	43	,	,	PUNCT
ejpam-5567	2	44	jeddah	jeddah	PROPN
ejpam-5567	2	45	21589	21589	NUM
ejpam-5567	2	46	,	,	PUNCT
ejpam-5567	2	47	15	15	NUM
ejpam-5567	2	48	saudi	saudi	ADJ
ejpam-5567	2	49	,	,	PUNCT
ejpam-5567	2	50	arabia	arabia	PROPN
ejpam-5567	2	51	abstract	abstract	NOUN
ejpam-5567	2	52	.	.	PUNCT
ejpam-5567	3	1	the	the	DET
ejpam-5567	3	2	objective	objective	NOUN
ejpam-5567	3	3	of	of	ADP
ejpam-5567	3	4	this	this	DET
ejpam-5567	3	5	research	research	NOUN
ejpam-5567	3	6	is	be	AUX
ejpam-5567	3	7	to	to	PART
ejpam-5567	3	8	explore	explore	VERB
ejpam-5567	3	9	ternary	ternary	ADJ
ejpam-5567	3	10	soft	soft	ADJ
ejpam-5567	3	11	sets	set	NOUN
ejpam-5567	3	12	over	over	ADP
ejpam-5567	3	13	three	three	NUM
ejpam-5567	3	14	initial	initial	ADJ
ejpam-5567	3	15	universal	universal	ADJ
ejpam-5567	3	16	sets	set	NOUN
ejpam-5567	3	17	,	,	PUNCT
ejpam-5567	3	18	incorporating	incorporate	VERB
ejpam-5567	3	19	a	a	DET
ejpam-5567	3	20	parameter	parameter	NOUN
ejpam-5567	3	21	set	set	NOUN
ejpam-5567	3	22	,	,	PUNCT
ejpam-5567	3	23	also	also	ADV
ejpam-5567	3	24	known	know	VERB
ejpam-5567	3	25	as	as	ADP
ejpam-5567	3	26	the	the	DET
ejpam-5567	3	27	set	set	NOUN
ejpam-5567	3	28	of	of	ADP
ejpam-5567	3	29	decision	decision	NOUN
ejpam-5567	3	30	variables	variable	NOUN
ejpam-5567	3	31	.	.	PUNCT
ejpam-5567	4	1	fundamental	fundamental	ADJ
ejpam-5567	4	2	operations	operation	NOUN
ejpam-5567	4	3	such	such	ADJ
ejpam-5567	4	4	as	as	ADP
ejpam-5567	4	5	subset	subset	NOUN
ejpam-5567	4	6	,	,	PUNCT
ejpam-5567	4	7	superset	superset	NOUN
ejpam-5567	4	8	,	,	PUNCT
ejpam-5567	4	9	equality	equality	NOUN
ejpam-5567	4	10	,	,	PUNCT
ejpam-5567	4	11	complement	complement	NOUN
ejpam-5567	4	12	,	,	PUNCT
ejpam-5567	4	13	null	null	NOUN
ejpam-5567	4	14	set	set	NOUN
ejpam-5567	4	15	,	,	PUNCT
ejpam-5567	4	16	and	and	CCONJ
ejpam-5567	4	17	absolute	absolute	ADJ
ejpam-5567	4	18	set	set	NOUN
ejpam-5567	4	19	are	be	AUX
ejpam-5567	4	20	examined	examine	VERB
ejpam-5567	4	21	,	,	PUNCT
ejpam-5567	4	22	along	along	ADP
ejpam-5567	4	23	with	with	ADP
ejpam-5567	4	24	the	the	DET
ejpam-5567	4	25	union	union	NOUN
ejpam-5567	4	26	and	and	CCONJ
ejpam-5567	4	27	intersection	intersection	NOUN
ejpam-5567	4	28	of	of	ADP
ejpam-5567	4	29	two	two	NUM
ejpam-5567	4	30	ternary	ternary	ADJ
ejpam-5567	4	31	soft	soft	ADJ
ejpam-5567	4	32	sets	set	NOUN
ejpam-5567	4	33	.	.	PUNCT
ejpam-5567	5	1	the	the	DET
ejpam-5567	5	2	study	study	NOUN
ejpam-5567	5	3	further	far	ADV
ejpam-5567	5	4	investigates	investigate	VERB
ejpam-5567	5	5	the	the	DET
ejpam-5567	5	6	difference	difference	NOUN
ejpam-5567	5	7	and	and	CCONJ
ejpam-5567	5	8	symmetric	symmetric	ADJ
ejpam-5567	5	9	difference	difference	NOUN
ejpam-5567	5	10	between	between	ADP
ejpam-5567	5	11	two	two	NUM
ejpam-5567	5	12	ternary	ternary	ADJ
ejpam-5567	5	13	soft	soft	ADJ
ejpam-5567	5	14	sets	set	NOUN
ejpam-5567	5	15	,	,	PUNCT
ejpam-5567	5	16	as	as	ADV
ejpam-5567	5	17	well	well	ADV
ejpam-5567	5	18	as	as	ADP
ejpam-5567	5	19	the	the	DET
ejpam-5567	5	20	“	"	PUNCT
ejpam-5567	5	21	and	and	CCONJ
ejpam-5567	5	22	”	"	PUNCT
ejpam-5567	5	23	and	and	CCONJ
ejpam-5567	5	24	“	"	PUNCT
ejpam-5567	5	25	or	or	CCONJ
ejpam-5567	5	26	”	"	PUNCT
ejpam-5567	5	27	operations	operation	NOUN
ejpam-5567	5	28	,	,	PUNCT
ejpam-5567	5	29	particularly	particularly	ADV
ejpam-5567	5	30	in	in	ADP
ejpam-5567	5	31	relation	relation	NOUN
ejpam-5567	5	32	to	to	ADP
ejpam-5567	5	33	the	the	DET
ejpam-5567	5	34	crisp	crisp	ADJ
ejpam-5567	5	35	points	point	NOUN
ejpam-5567	5	36	of	of	ADP
ejpam-5567	5	37	the	the	DET
ejpam-5567	5	38	sets	set	NOUN
ejpam-5567	5	39	.	.	PUNCT
ejpam-5567	6	1	the	the	DET
ejpam-5567	6	2	behavior	behavior	NOUN
ejpam-5567	6	3	and	and	CCONJ
ejpam-5567	6	4	properties	property	NOUN
ejpam-5567	6	5	of	of	ADP
ejpam-5567	6	6	ternary	ternary	ADJ
ejpam-5567	6	7	soft	soft	ADJ
ejpam-5567	6	8	sets	set	NOUN
ejpam-5567	6	9	are	be	AUX
ejpam-5567	6	10	analyzed	analyze	VERB
ejpam-5567	6	11	,	,	PUNCT
ejpam-5567	6	12	with	with	ADP
ejpam-5567	6	13	examples	example	NOUN
ejpam-5567	6	14	provided	provide	VERB
ejpam-5567	6	15	for	for	ADP
ejpam-5567	6	16	clarification	clarification	NOUN
ejpam-5567	6	17	.	.	PUNCT
ejpam-5567	7	1	a	a	DET
ejpam-5567	7	2	novel	novel	ADJ
ejpam-5567	7	3	mathematical	mathematical	ADJ
ejpam-5567	7	4	structure	structure	NOUN
ejpam-5567	7	5	,	,	PUNCT
ejpam-5567	7	6	ternary	ternary	ADJ
ejpam-5567	7	7	soft	soft	ADJ
ejpam-5567	7	8	topological	topological	ADJ
ejpam-5567	7	9	structures	structure	NOUN
ejpam-5567	7	10	,	,	PUNCT
ejpam-5567	7	11	is	be	AUX
ejpam-5567	7	12	introduced	introduce	VERB
ejpam-5567	7	13	,	,	PUNCT
ejpam-5567	7	14	focusing	focus	VERB
ejpam-5567	7	15	on	on	ADP
ejpam-5567	7	16	three	three	NUM
ejpam-5567	7	17	initial	initial	ADJ
ejpam-5567	7	18	universal	universal	ADJ
ejpam-5567	7	19	sets	set	NOUN
ejpam-5567	7	20	and	and	CCONJ
ejpam-5567	7	21	a	a	DET
ejpam-5567	7	22	fixed	fix	VERB
ejpam-5567	7	23	parameter	parameter	NOUN
ejpam-5567	7	24	set	set	NOUN
ejpam-5567	7	25	.	.	PUNCT
ejpam-5567	8	1	key	key	ADJ
ejpam-5567	8	2	concepts	concept	NOUN
ejpam-5567	8	3	such	such	ADJ
ejpam-5567	8	4	as	as	ADP
ejpam-5567	8	5	ternary	ternary	ADJ
ejpam-5567	8	6	soft	soft	ADJ
ejpam-5567	8	7	open	open	ADJ
ejpam-5567	8	8	sets	set	NOUN
ejpam-5567	8	9	,	,	PUNCT
ejpam-5567	8	10	closed	closed	ADJ
ejpam-5567	8	11	sets	set	NOUN
ejpam-5567	8	12	,	,	PUNCT
ejpam-5567	8	13	closures	closure	NOUN
ejpam-5567	8	14	,	,	PUNCT
ejpam-5567	8	15	interiors	interior	NOUN
ejpam-5567	8	16	,	,	PUNCT
ejpam-5567	8	17	boundaries	boundary	NOUN
ejpam-5567	8	18	,	,	PUNCT
ejpam-5567	8	19	and	and	CCONJ
ejpam-5567	8	20	neighborhoods	neighborhood	NOUN
ejpam-5567	8	21	are	be	AUX
ejpam-5567	8	22	defined	define	VERB
ejpam-5567	8	23	and	and	CCONJ
ejpam-5567	8	24	explored	explore	VERB
ejpam-5567	8	25	in	in	ADP
ejpam-5567	8	26	depth	depth	NOUN
ejpam-5567	8	27	.	.	PUNCT
ejpam-5567	9	1	the	the	DET
ejpam-5567	9	2	relationships	relationship	NOUN
ejpam-5567	9	3	between	between	ADP
ejpam-5567	9	4	these	these	DET
ejpam-5567	9	5	concepts	concept	NOUN
ejpam-5567	9	6	are	be	AUX
ejpam-5567	9	7	examined	examine	VERB
ejpam-5567	9	8	to	to	PART
ejpam-5567	9	9	provide	provide	VERB
ejpam-5567	9	10	a	a	DET
ejpam-5567	9	11	comprehensive	comprehensive	ADJ
ejpam-5567	9	12	understanding	understanding	NOUN
ejpam-5567	9	13	.	.	PUNCT
ejpam-5567	10	1	illustrative	illustrative	ADJ
ejpam-5567	10	2	examples	example	NOUN
ejpam-5567	10	3	demonstrate	demonstrate	VERB
ejpam-5567	10	4	the	the	DET
ejpam-5567	10	5	practical	practical	ADJ
ejpam-5567	10	6	applications	application	NOUN
ejpam-5567	10	7	of	of	ADP
ejpam-5567	10	8	these	these	DET
ejpam-5567	10	9	ideas	idea	NOUN
ejpam-5567	10	10	.	.	PUNCT
ejpam-5567	11	1	additionally	additionally	ADV
ejpam-5567	11	2	,	,	PUNCT
ejpam-5567	11	3	ternary	ternary	ADJ
ejpam-5567	11	4	soft	soft	ADJ
ejpam-5567	11	5	semi	semi	ADJ
ejpam-5567	11	6	-	-	ADJ
ejpam-5567	11	7	separation	separation	NOUN
ejpam-5567	11	8	axioms	axiom	NOUN
ejpam-5567	11	9	,	,	PUNCT
ejpam-5567	11	10	along	along	ADP
ejpam-5567	11	11	with	with	ADP
ejpam-5567	11	12	various	various	ADJ
ejpam-5567	11	13	properties	property	NOUN
ejpam-5567	11	14	,	,	PUNCT
ejpam-5567	11	15	such	such	ADJ
ejpam-5567	11	16	as	as	ADP
ejpam-5567	11	17	ternary	ternary	ADJ
ejpam-5567	11	18	soft	soft	ADJ
ejpam-5567	11	19	semi	semi	ADJ
ejpam-5567	11	20	-	-	ADJ
ejpam-5567	11	21	regular	regular	ADJ
ejpam-5567	11	22	,	,	PUNCT
ejpam-5567	11	23	semi	semi	ADJ
ejpam-5567	11	24	-	-	ADJ
ejpam-5567	11	25	normal	normal	ADJ
ejpam-5567	11	26	,	,	PUNCT
ejpam-5567	11	27	and	and	CCONJ
ejpam-5567	11	28	invariance	invariance	NOUN
ejpam-5567	11	29	properties	property	NOUN
ejpam-5567	11	30	,	,	PUNCT
ejpam-5567	11	31	including	include	VERB
ejpam-5567	11	32	the	the	DET
ejpam-5567	11	33	ternary	ternary	ADJ
ejpam-5567	11	34	soft	soft	ADJ
ejpam-5567	11	35	topological	topological	ADJ
ejpam-5567	11	36	and	and	CCONJ
ejpam-5567	11	37	hereditary	hereditary	ADJ
ejpam-5567	11	38	properties	property	NOUN
ejpam-5567	11	39	,	,	PUNCT
ejpam-5567	11	40	are	be	AUX
ejpam-5567	11	41	discussed	discuss	VERB
ejpam-5567	11	42	.	.	PUNCT
ejpam-5567	12	1	2020	2020	NUM
ejpam-5567	12	2	mathematics	mathematic	NOUN
ejpam-5567	12	3	subject	subject	NOUN
ejpam-5567	12	4	classifications	classification	NOUN
ejpam-5567	12	5	:	:	PUNCT
ejpam-5567	12	6	54a05	54a05	NUM
ejpam-5567	12	7	key	key	ADJ
ejpam-5567	12	8	words	word	NOUN
ejpam-5567	12	9	and	and	CCONJ
ejpam-5567	12	10	phrases	phrase	NOUN
ejpam-5567	12	11	:	:	PUNCT
ejpam-5567	12	12	ternary	ternary	ADJ
ejpam-5567	12	13	soft	soft	ADJ
ejpam-5567	12	14	set	set	NOUN
ejpam-5567	12	15	,	,	PUNCT
ejpam-5567	12	16	ternary	ternary	ADJ
ejpam-5567	12	17	soft	soft	ADJ
ejpam-5567	12	18	topology	topology	NOUN
ejpam-5567	12	19	,	,	PUNCT
ejpam-5567	12	20	ternary	ternary	ADJ
ejpam-5567	12	21	soft	soft	ADJ
ejpam-5567	12	22	interior	interior	NOUN
ejpam-5567	12	23	,	,	PUNCT
ejpam-5567	12	24	ternary	ternary	ADJ
ejpam-5567	12	25	soft	soft	ADJ
ejpam-5567	12	26	closure	closure	NOUN
ejpam-5567	12	27	,	,	PUNCT
ejpam-5567	12	28	ternary	ternary	ADJ
ejpam-5567	12	29	soft	soft	ADJ
ejpam-5567	12	30	neighborhood	neighborhood	NOUN
ejpam-5567	12	31	,	,	PUNCT
ejpam-5567	12	32	separation	separation	NOUN
ejpam-5567	12	33	axioms	axiom	NOUN
ejpam-5567	12	34	,	,	PUNCT
ejpam-5567	12	35	hereditary	hereditary	ADJ
ejpam-5567	12	36	properties	property	NOUN
ejpam-5567	12	37	.	.	PUNCT
ejpam-5567	13	1	∗corresponding	∗corresponde	VERB
ejpam-5567	13	2	author	author	NOUN
ejpam-5567	13	3	.	.	PUNCT
ejpam-5567	14	1	doi	doi	NOUN
ejpam-5567	14	2	:	:	PUNCT
ejpam-5567	14	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5567	https://doi.org/10.29020/nybg.ejpam.v18i1.5567	PROPN
ejpam-5567	14	4	email	email	NOUN
ejpam-5567	14	5	addresses	address	NOUN
ejpam-5567	14	6	:	:	PUNCT
ejpam-5567	15	1	mubashirmaths@gmail.com	mubashirmaths@gmail.com	PROPN
ejpam-5567	15	2	(	(	PUNCT
ejpam-5567	15	3	m.	m.	NOUN
ejpam-5567	15	4	nawaz	nawaz	NOUN
ejpam-5567	15	5	)	)	PUNCT
ejpam-5567	15	6	,	,	PUNCT
ejpam-5567	15	7	mehdaniyal@gmail.com	mehdaniyal@gmail.com	X
ejpam-5567	15	8	(	(	PUNCT
ejpam-5567	15	9	a.	a.	PROPN
ejpam-5567	15	10	mehmood	mehmood	PROPN
ejpam-5567	15	11	)	)	PUNCT
ejpam-5567	15	12	,	,	PUNCT
ejpam-5567	15	13	034005lyx@dlmu.edu.cn	034005lyx@dlmu.edu.cn	NUM
ejpam-5567	15	14	(	(	PUNCT
ejpam-5567	15	15	y.	y.	PROPN
ejpam-5567	15	16	liu	liu	PROPN
ejpam-5567	15	17	)	)	PUNCT
ejpam-5567	15	18	,	,	PUNCT
ejpam-5567	15	19	seethamaths79@gmail.com	seethamaths79@gmail.com	PROPN
ejpam-5567	15	20	(	(	PUNCT
ejpam-5567	15	21	s.	s.	PROPN
ejpam-5567	15	22	ramaswamy	ramaswamy	PROPN
ejpam-5567	15	23	)	)	PUNCT
ejpam-5567	15	24	,	,	PUNCT
ejpam-5567	15	25	(	(	PUNCT
ejpam-5567	15	26	mmmohammed@kau.edu.sa	mmmohammed@kau.edu.sa	PROPN
ejpam-5567	15	27	)	)	PUNCT
ejpam-5567	15	28	(	(	PUNCT
ejpam-5567	15	29	m.	m.	NOUN
ejpam-5567	15	30	m.	m.	PROPN
ejpam-5567	15	31	saeed	saeed	PROPN
ejpam-5567	15	32	)	)	PUNCT
ejpam-5567	15	33	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5567	16	1	1	1	NUM
ejpam-5567	16	2	copyright	copyright	NOUN
ejpam-5567	16	3	:	:	PUNCT
ejpam-5567	16	4	©	©	PROPN
ejpam-5567	16	5	2025	2025	NUM
ejpam-5567	16	6	the	the	DET
ejpam-5567	16	7	author(s	author(s	NOUN
ejpam-5567	16	8	)	)	PUNCT
ejpam-5567	16	9	.	.	PUNCT
ejpam-5567	17	1	(	(	PUNCT
ejpam-5567	17	2	cc	cc	NOUN
ejpam-5567	17	3	by	by	ADP
ejpam-5567	17	4	-	-	PUNCT
ejpam-5567	17	5	nc	nc	PROPN
ejpam-5567	17	6	4.0	4.0	NUM
ejpam-5567	17	7	)	)	PUNCT
ejpam-5567	17	8	m.	m.	NOUN
ejpam-5567	17	9	nawaz	nawaz	NOUN
ejpam-5567	17	10	et	et	PROPN
ejpam-5567	17	11	al	al	PROPN
ejpam-5567	17	12	.	.	PUNCT
ejpam-5567	17	13	/	/	SYM
ejpam-5567	17	14	eur	eur	PROPN
ejpam-5567	17	15	.	.	PUNCT
ejpam-5567	18	1	j.	j.	PROPN
ejpam-5567	18	2	pure	pure	PROPN
ejpam-5567	18	3	appl	appl	PROPN
ejpam-5567	18	4	.	.	PROPN
ejpam-5567	18	5	math	math	PROPN
ejpam-5567	18	6	,	,	PUNCT
ejpam-5567	18	7	18	18	NUM
ejpam-5567	18	8	(	(	PUNCT
ejpam-5567	18	9	1	1	NUM
ejpam-5567	18	10	)	)	PUNCT
ejpam-5567	18	11	(	(	PUNCT
ejpam-5567	18	12	2025	2025	NUM
ejpam-5567	18	13	)	)	PUNCT
ejpam-5567	18	14	,	,	PUNCT
ejpam-5567	18	15	5567	5567	NUM
ejpam-5567	18	16	2	2	NUM
ejpam-5567	18	17	of	of	ADP
ejpam-5567	18	18	45	45	NUM
ejpam-5567	18	19	1	1	NUM
ejpam-5567	18	20	.	.	PUNCT
ejpam-5567	19	1	introduction	introduction	NOUN
ejpam-5567	19	2	most	most	ADJ
ejpam-5567	19	3	of	of	ADP
ejpam-5567	19	4	our	our	PRON
ejpam-5567	19	5	traditional	traditional	ADJ
ejpam-5567	19	6	techniques	technique	NOUN
ejpam-5567	19	7	are	be	AUX
ejpam-5567	19	8	crisp	crisp	ADJ
ejpam-5567	19	9	in	in	ADP
ejpam-5567	19	10	nature	nature	NOUN
ejpam-5567	19	11	and	and	CCONJ
ejpam-5567	19	12	are	be	AUX
ejpam-5567	19	13	used	use	VERB
ejpam-5567	19	14	for	for	ADP
ejpam-5567	19	15	formal	formal	ADJ
ejpam-5567	19	16	modeling	modeling	NOUN
ejpam-5567	19	17	and	and	CCONJ
ejpam-5567	19	18	reasoning	reasoning	NOUN
ejpam-5567	19	19	.	.	PUNCT
ejpam-5567	20	1	these	these	DET
ejpam-5567	20	2	techniques	technique	NOUN
ejpam-5567	20	3	are	be	AUX
ejpam-5567	20	4	supposed	suppose	VERB
ejpam-5567	20	5	to	to	PART
ejpam-5567	20	6	be	be	AUX
ejpam-5567	20	7	precise	precise	ADJ
ejpam-5567	20	8	and	and	CCONJ
ejpam-5567	20	9	concise	concise	ADJ
ejpam-5567	20	10	in	in	ADP
ejpam-5567	20	11	nature	nature	NOUN
ejpam-5567	20	12	.	.	PUNCT
ejpam-5567	21	1	however	however	ADV
ejpam-5567	21	2	,	,	PUNCT
ejpam-5567	21	3	these	these	DET
ejpam-5567	21	4	techniques	technique	NOUN
ejpam-5567	21	5	are	be	AUX
ejpam-5567	21	6	getting	getting	AUX
ejpam-5567	21	7	badly	badly	ADV
ejpam-5567	21	8	failed	fail	VERB
ejpam-5567	21	9	when	when	SCONJ
ejpam-5567	21	10	applied	apply	VERB
ejpam-5567	21	11	to	to	ADP
ejpam-5567	21	12	problems	problem	NOUN
ejpam-5567	21	13	which	which	PRON
ejpam-5567	21	14	are	be	AUX
ejpam-5567	21	15	complex	complex	ADJ
ejpam-5567	21	16	in	in	ADP
ejpam-5567	21	17	nature	nature	NOUN
ejpam-5567	21	18	.	.	PUNCT
ejpam-5567	22	1	these	these	DET
ejpam-5567	22	2	complex	complex	ADJ
ejpam-5567	22	3	problems	problem	NOUN
ejpam-5567	22	4	may	may	AUX
ejpam-5567	22	5	be	be	AUX
ejpam-5567	22	6	problems	problem	NOUN
ejpam-5567	22	7	in	in	ADP
ejpam-5567	22	8	engineering	engineering	NOUN
ejpam-5567	22	9	,	,	PUNCT
ejpam-5567	22	10	medical	medical	ADJ
ejpam-5567	22	11	sciences	science	NOUN
ejpam-5567	22	12	and	and	CCONJ
ejpam-5567	22	13	social	social	ADJ
ejpam-5567	22	14	sciences	science	NOUN
ejpam-5567	22	15	etc	etc	X
ejpam-5567	22	16	.	.	PUNCT
ejpam-5567	23	1	these	these	DET
ejpam-5567	23	2	problems	problem	NOUN
ejpam-5567	23	3	can	can	AUX
ejpam-5567	23	4	not	not	PART
ejpam-5567	23	5	be	be	AUX
ejpam-5567	23	6	overcome	overcome	VERB
ejpam-5567	23	7	using	use	VERB
ejpam-5567	23	8	traditional	traditional	ADJ
ejpam-5567	23	9	techniques	technique	NOUN
ejpam-5567	23	10	.	.	PUNCT
ejpam-5567	24	1	to	to	PART
ejpam-5567	24	2	overcome	overcome	VERB
ejpam-5567	24	3	the	the	DET
ejpam-5567	24	4	uncertainties	uncertainty	NOUN
ejpam-5567	24	5	and	and	CCONJ
ejpam-5567	24	6	chaotic	chaotic	ADJ
ejpam-5567	24	7	situation	situation	NOUN
ejpam-5567	24	8	we	we	PRON
ejpam-5567	24	9	have	have	VERB
ejpam-5567	24	10	to	to	PART
ejpam-5567	24	11	use	use	VERB
ejpam-5567	24	12	few	few	ADJ
ejpam-5567	24	13	techniques	technique	NOUN
ejpam-5567	24	14	which	which	PRON
ejpam-5567	24	15	are	be	AUX
ejpam-5567	24	16	probability	probability	NOUN
ejpam-5567	24	17	and	and	CCONJ
ejpam-5567	24	18	fuzzy	fuzzy	ADJ
ejpam-5567	24	19	sets	set	VERB
ejpam-5567	24	20	techniques	technique	NOUN
ejpam-5567	24	21	[	[	X
ejpam-5567	24	22	27	27	NUM
ejpam-5567	24	23	]	]	PUNCT
ejpam-5567	24	24	,	,	PUNCT
ejpam-5567	24	25	techniques	technique	NOUN
ejpam-5567	24	26	of	of	ADP
ejpam-5567	24	27	intuitionistic	intuitionistic	ADJ
ejpam-5567	24	28	[	[	X
ejpam-5567	24	29	5	5	NUM
ejpam-5567	24	30	,	,	PUNCT
ejpam-5567	24	31	6	6	NUM
ejpam-5567	24	32	]	]	PUNCT
ejpam-5567	24	33	,	,	PUNCT
ejpam-5567	24	34	technique	technique	NOUN
ejpam-5567	24	35	of	of	ADP
ejpam-5567	24	36	vague	vague	NOUN
ejpam-5567	24	37	[	[	X
ejpam-5567	24	38	12	12	NUM
ejpam-5567	24	39	]	]	PUNCT
ejpam-5567	24	40	,	,	PUNCT
ejpam-5567	24	41	technique	technique	NOUN
ejpam-5567	24	42	of	of	ADP
ejpam-5567	24	43	interval	interval	NOUN
ejpam-5567	24	44	mathematics	mathematic	NOUN
ejpam-5567	25	1	[	[	X
ejpam-5567	25	2	6	6	NUM
ejpam-5567	25	3	,	,	PUNCT
ejpam-5567	25	4	13	13	NUM
ejpam-5567	25	5	]	]	PUNCT
ejpam-5567	25	6	and	and	CCONJ
ejpam-5567	25	7	finally	finally	ADV
ejpam-5567	25	8	technique	technique	NOUN
ejpam-5567	25	9	of	of	ADP
ejpam-5567	25	10	rough	rough	ADJ
ejpam-5567	25	11	sets	set	NOUN
ejpam-5567	25	12	[	[	X
ejpam-5567	25	13	19	19	NUM
ejpam-5567	25	14	]	]	PUNCT
ejpam-5567	25	15	.	.	PUNCT
ejpam-5567	26	1	the	the	DET
ejpam-5567	26	2	said	say	VERB
ejpam-5567	26	3	techniques	technique	NOUN
ejpam-5567	26	4	can	can	AUX
ejpam-5567	26	5	effectively	effectively	ADV
ejpam-5567	26	6	be	be	AUX
ejpam-5567	26	7	used	use	VERB
ejpam-5567	26	8	to	to	PART
ejpam-5567	26	9	diffuse	diffuse	VERB
ejpam-5567	26	10	the	the	DET
ejpam-5567	26	11	complexity	complexity	NOUN
ejpam-5567	26	12	that	that	PRON
ejpam-5567	26	13	exists	exist	VERB
ejpam-5567	26	14	in	in	ADP
ejpam-5567	26	15	our	our	PRON
ejpam-5567	26	16	problems	problem	NOUN
ejpam-5567	26	17	.	.	PUNCT
ejpam-5567	27	1	in	in	ADP
ejpam-5567	27	2	this	this	DET
ejpam-5567	27	3	direction	direction	NOUN
ejpam-5567	27	4	a	a	DET
ejpam-5567	27	5	russian	russian	ADJ
ejpam-5567	27	6	researcher	researcher	NOUN
ejpam-5567	27	7	molodtsov	molodtsov	NOUN
ejpam-5567	28	1	[	[	X
ejpam-5567	28	2	18	18	NUM
ejpam-5567	28	3	]	]	PUNCT
ejpam-5567	28	4	,	,	PUNCT
ejpam-5567	28	5	designed	design	VERB
ejpam-5567	28	6	a	a	DET
ejpam-5567	28	7	new	new	ADJ
ejpam-5567	28	8	technique	technique	NOUN
ejpam-5567	28	9	of	of	ADP
ejpam-5567	28	10	soft	soft	ADJ
ejpam-5567	28	11	set	set	NOUN
ejpam-5567	28	12	theory	theory	NOUN
ejpam-5567	28	13	.	.	PUNCT
ejpam-5567	29	1	this	this	DET
ejpam-5567	29	2	technique	technique	NOUN
ejpam-5567	29	3	shoulders	shoulder	NOUN
ejpam-5567	29	4	up	up	ADP
ejpam-5567	29	5	the	the	DET
ejpam-5567	29	6	responsibility	responsibility	NOUN
ejpam-5567	29	7	of	of	ADP
ejpam-5567	29	8	washing	washing	NOUN
ejpam-5567	29	9	-	-	PUNCT
ejpam-5567	29	10	out	out	ADP
ejpam-5567	29	11	the	the	DET
ejpam-5567	29	12	uncertainties	uncertainty	NOUN
ejpam-5567	29	13	that	that	PRON
ejpam-5567	29	14	are	be	AUX
ejpam-5567	29	15	caught	catch	VERB
ejpam-5567	29	16	by	by	ADP
ejpam-5567	29	17	our	our	PRON
ejpam-5567	29	18	problems	problem	NOUN
ejpam-5567	29	19	.	.	PUNCT
ejpam-5567	30	1	different	different	ADJ
ejpam-5567	30	2	researchers	researcher	NOUN
ejpam-5567	30	3	were	be	AUX
ejpam-5567	30	4	active	active	ADJ
ejpam-5567	30	5	in	in	ADP
ejpam-5567	30	6	this	this	DET
ejpam-5567	30	7	direction	direction	NOUN
ejpam-5567	30	8	and	and	CCONJ
ejpam-5567	30	9	were	be	AUX
ejpam-5567	30	10	coming	come	VERB
ejpam-5567	30	11	out	out	ADP
ejpam-5567	30	12	with	with	ADP
ejpam-5567	30	13	deferent	deferent	ADJ
ejpam-5567	30	14	and	and	CCONJ
ejpam-5567	30	15	strange	strange	ADJ
ejpam-5567	30	16	ideas	idea	NOUN
ejpam-5567	30	17	.	.	PUNCT
ejpam-5567	31	1	pawlak	pawlak	ADJ
ejpam-5567	31	2	[	[	X
ejpam-5567	31	3	20	20	NUM
ejpam-5567	31	4	]	]	PUNCT
ejpam-5567	31	5	,	,	PUNCT
ejpam-5567	31	6	launched	launch	VERB
ejpam-5567	31	7	the	the	DET
ejpam-5567	31	8	idea	idea	NOUN
ejpam-5567	31	9	of	of	ADP
ejpam-5567	31	10	rough	rough	ADJ
ejpam-5567	31	11	set	set	NOUN
ejpam-5567	31	12	technique	technique	NOUN
ejpam-5567	31	13	which	which	PRON
ejpam-5567	31	14	is	be	AUX
ejpam-5567	31	15	entirely	entirely	ADV
ejpam-5567	31	16	different	different	ADJ
ejpam-5567	31	17	notion	notion	NOUN
ejpam-5567	31	18	and	and	CCONJ
ejpam-5567	31	19	used	use	VERB
ejpam-5567	31	20	to	to	PART
ejpam-5567	31	21	solve	solve	VERB
ejpam-5567	31	22	some	some	DET
ejpam-5567	31	23	other	other	ADJ
ejpam-5567	31	24	kind	kind	NOUN
ejpam-5567	31	25	of	of	ADP
ejpam-5567	31	26	problems	problem	NOUN
ejpam-5567	31	27	that	that	PRON
ejpam-5567	31	28	contained	contain	VERB
ejpam-5567	31	29	error	error	NOUN
ejpam-5567	31	30	.	.	PUNCT
ejpam-5567	32	1	with	with	ADP
ejpam-5567	32	2	the	the	DET
ejpam-5567	32	3	passage	passage	NOUN
ejpam-5567	32	4	of	of	ADP
ejpam-5567	32	5	time	time	NOUN
ejpam-5567	32	6	,	,	PUNCT
ejpam-5567	32	7	the	the	DET
ejpam-5567	32	8	concept	concept	NOUN
ejpam-5567	32	9	of	of	ADP
ejpam-5567	32	10	soft	soft	ADJ
ejpam-5567	32	11	set	set	NOUN
ejpam-5567	32	12	technique	technique	NOUN
ejpam-5567	32	13	was	be	AUX
ejpam-5567	32	14	arresting	arrest	VERB
ejpam-5567	32	15	the	the	DET
ejpam-5567	32	16	attention	attention	NOUN
ejpam-5567	32	17	of	of	ADP
ejpam-5567	32	18	researchers	researcher	NOUN
ejpam-5567	32	19	.	.	PUNCT
ejpam-5567	33	1	considerable	considerable	ADJ
ejpam-5567	33	2	attention	attention	NOUN
ejpam-5567	33	3	was	be	AUX
ejpam-5567	33	4	given	give	VERB
ejpam-5567	33	5	in	in	ADP
ejpam-5567	33	6	(	(	PUNCT
ejpam-5567	33	7	see	see	VERB
ejpam-5567	33	8	[	[	X
ejpam-5567	33	9	2]-[28	2]-[28	NUM
ejpam-5567	33	10	]	]	PUNCT
ejpam-5567	33	11	)	)	PUNCT
ejpam-5567	33	12	.	.	PUNCT
ejpam-5567	34	1	in	in	ADP
ejpam-5567	34	2	continuation	continuation	NOUN
ejpam-5567	34	3	the	the	DET
ejpam-5567	34	4	application	application	NOUN
ejpam-5567	34	5	of	of	ADP
ejpam-5567	34	6	soft	soft	ADJ
ejpam-5567	34	7	set	set	NOUN
ejpam-5567	34	8	technique	technique	NOUN
ejpam-5567	34	9	was	be	AUX
ejpam-5567	34	10	examined	examine	VERB
ejpam-5567	34	11	in	in	ADP
ejpam-5567	34	12	(	(	PUNCT
ejpam-5567	34	13	see	see	VERB
ejpam-5567	34	14	[	[	X
ejpam-5567	34	15	9]-[29	9]-[29	NOUN
ejpam-5567	34	16	]	]	PUNCT
ejpam-5567	34	17	)	)	PUNCT
ejpam-5567	34	18	.	.	PUNCT
ejpam-5567	35	1	the	the	DET
ejpam-5567	35	2	applications	application	NOUN
ejpam-5567	35	3	of	of	ADP
ejpam-5567	35	4	soft	soft	ADJ
ejpam-5567	35	5	sets	set	NOUN
ejpam-5567	35	6	techniques	technique	NOUN
ejpam-5567	35	7	were	be	AUX
ejpam-5567	35	8	installed	instal	VERB
ejpam-5567	35	9	in	in	ADP
ejpam-5567	35	10	decision	decision	NOUN
ejpam-5567	35	11	making	make	VERB
ejpam-5567	35	12	problems	problem	NOUN
ejpam-5567	35	13	in	in	ADP
ejpam-5567	35	14	(	(	PUNCT
ejpam-5567	35	15	see	see	VERB
ejpam-5567	35	16	[	[	X
ejpam-5567	35	17	7]-[22	7]-[22	NUM
ejpam-5567	35	18	]	]	PUNCT
ejpam-5567	35	19	)	)	PUNCT
ejpam-5567	35	20	and	and	CCONJ
ejpam-5567	35	21	in	in	ADP
ejpam-5567	35	22	demand	demand	NOUN
ejpam-5567	35	23	analysis	analysis	NOUN
ejpam-5567	35	24	in	in	ADP
ejpam-5567	35	25	[	[	X
ejpam-5567	35	26	11	11	NUM
ejpam-5567	35	27	]	]	PUNCT
ejpam-5567	35	28	as	as	ADV
ejpam-5567	35	29	well	well	ADV
ejpam-5567	35	30	as	as	ADP
ejpam-5567	35	31	in	in	ADP
ejpam-5567	35	32	clustering	cluster	VERB
ejpam-5567	35	33	analysis	analysis	NOUN
ejpam-5567	35	34	in	in	ADP
ejpam-5567	35	35	[	[	X
ejpam-5567	35	36	21	21	NUM
ejpam-5567	35	37	]	]	PUNCT
ejpam-5567	35	38	.	.	PUNCT
ejpam-5567	36	1	the	the	DET
ejpam-5567	36	2	study	study	NOUN
ejpam-5567	36	3	of	of	ADP
ejpam-5567	36	4	forecasting	forecast	VERB
ejpam-5567	36	5	analysis	analysis	NOUN
ejpam-5567	36	6	with	with	ADP
ejpam-5567	36	7	respect	respect	NOUN
ejpam-5567	36	8	to	to	ADP
ejpam-5567	36	9	soft	soft	ADJ
ejpam-5567	36	10	set	set	NOUN
ejpam-5567	36	11	technique	technique	NOUN
ejpam-5567	36	12	was	be	AUX
ejpam-5567	36	13	discussed	discuss	VERB
ejpam-5567	36	14	in	in	ADP
ejpam-5567	36	15	[	[	X
ejpam-5567	36	16	25	25	NUM
ejpam-5567	36	17	]	]	PUNCT
ejpam-5567	36	18	.	.	PUNCT
ejpam-5567	37	1	1.1	1.1	NUM
ejpam-5567	37	2	.	.	PUNCT
ejpam-5567	37	3	research	research	NOUN
ejpam-5567	37	4	gap	gap	NOUN
ejpam-5567	37	5	the	the	DET
ejpam-5567	37	6	current	current	ADJ
ejpam-5567	37	7	study	study	NOUN
ejpam-5567	37	8	is	be	AUX
ejpam-5567	37	9	limited	limit	VERB
ejpam-5567	37	10	to	to	ADP
ejpam-5567	37	11	ternary	ternary	ADJ
ejpam-5567	37	12	soft	soft	ADJ
ejpam-5567	37	13	sets	set	NOUN
ejpam-5567	37	14	,	,	PUNCT
ejpam-5567	37	15	defined	define	VERB
ejpam-5567	37	16	on	on	ADP
ejpam-5567	37	17	three	three	NUM
ejpam-5567	37	18	initial	initial	ADJ
ejpam-5567	37	19	universal	universal	ADJ
ejpam-5567	37	20	sets	set	NOUN
ejpam-5567	37	21	.	.	PUNCT
ejpam-5567	38	1	there	there	PRON
ejpam-5567	38	2	is	be	VERB
ejpam-5567	38	3	a	a	DET
ejpam-5567	38	4	gap	gap	NOUN
ejpam-5567	38	5	in	in	ADP
ejpam-5567	38	6	extending	extend	VERB
ejpam-5567	38	7	these	these	DET
ejpam-5567	38	8	structures	structure	NOUN
ejpam-5567	38	9	to	to	ADP
ejpam-5567	38	10	n	n	CCONJ
ejpam-5567	38	11	-	-	PUNCT
ejpam-5567	38	12	dimensional	dimensional	ADJ
ejpam-5567	38	13	soft	soft	ADJ
ejpam-5567	38	14	sets	set	NOUN
ejpam-5567	38	15	,	,	PUNCT
ejpam-5567	38	16	where	where	SCONJ
ejpam-5567	38	17	n	n	PRON
ejpam-5567	38	18	≥	≥	NOUN
ejpam-5567	38	19	3	3	NUM
ejpam-5567	38	20	.	.	PUNCT
ejpam-5567	39	1	this	this	DET
ejpam-5567	39	2	extension	extension	NOUN
ejpam-5567	39	3	could	could	AUX
ejpam-5567	39	4	provide	provide	VERB
ejpam-5567	39	5	a	a	DET
ejpam-5567	39	6	more	more	ADV
ejpam-5567	39	7	comprehensive	comprehensive	ADJ
ejpam-5567	39	8	framework	framework	NOUN
ejpam-5567	39	9	for	for	ADP
ejpam-5567	39	10	handling	handle	VERB
ejpam-5567	39	11	complex	complex	ADJ
ejpam-5567	39	12	relationships	relationship	NOUN
ejpam-5567	39	13	involving	involve	VERB
ejpam-5567	39	14	more	more	ADJ
ejpam-5567	39	15	than	than	ADP
ejpam-5567	39	16	three	three	NUM
ejpam-5567	39	17	sets	set	NOUN
ejpam-5567	39	18	,	,	PUNCT
ejpam-5567	39	19	thus	thus	ADV
ejpam-5567	39	20	broadening	broaden	VERB
ejpam-5567	39	21	the	the	DET
ejpam-5567	39	22	scope	scope	NOUN
ejpam-5567	39	23	of	of	ADP
ejpam-5567	39	24	applications	application	NOUN
ejpam-5567	39	25	in	in	ADP
ejpam-5567	39	26	fields	field	NOUN
ejpam-5567	39	27	such	such	ADJ
ejpam-5567	39	28	as	as	ADP
ejpam-5567	39	29	multi	multi	ADJ
ejpam-5567	39	30	-	-	ADJ
ejpam-5567	39	31	criteria	criteria	ADJ
ejpam-5567	39	32	decision	decision	NOUN
ejpam-5567	39	33	analysis	analysis	NOUN
ejpam-5567	39	34	(	(	PUNCT
ejpam-5567	39	35	mcda	mcda	NOUN
ejpam-5567	39	36	)	)	PUNCT
ejpam-5567	39	37	and	and	CCONJ
ejpam-5567	39	38	multi	multi	ADJ
ejpam-5567	39	39	-	-	ADJ
ejpam-5567	39	40	dimensional	dimensional	ADJ
ejpam-5567	39	41	optimization	optimization	NOUN
ejpam-5567	39	42	problems	problem	NOUN
ejpam-5567	39	43	.	.	PUNCT
ejpam-5567	40	1	in	in	ADP
ejpam-5567	40	2	our	our	PRON
ejpam-5567	40	3	study	study	NOUN
ejpam-5567	40	4	,	,	PUNCT
ejpam-5567	40	5	we	we	PRON
ejpam-5567	40	6	selectedn	selectedn	VERB
ejpam-5567	40	7	=	=	NOUN
ejpam-5567	40	8	3	3	NUM
ejpam-5567	40	9	as	as	ADP
ejpam-5567	40	10	the	the	DET
ejpam-5567	40	11	sample	sample	NOUN
ejpam-5567	40	12	size	size	NOUN
ejpam-5567	40	13	and	and	CCONJ
ejpam-5567	40	14	developed	develop	VERB
ejpam-5567	40	15	a	a	DET
ejpam-5567	40	16	novel	novel	ADJ
ejpam-5567	40	17	research	research	NOUN
ejpam-5567	40	18	space	space	NOUN
ejpam-5567	40	19	that	that	PRON
ejpam-5567	40	20	had	have	AUX
ejpam-5567	40	21	not	not	PART
ejpam-5567	40	22	previously	previously	ADV
ejpam-5567	40	23	been	be	AUX
ejpam-5567	40	24	explored	explore	VERB
ejpam-5567	40	25	or	or	CCONJ
ejpam-5567	40	26	addressed	address	VERB
ejpam-5567	40	27	by	by	ADP
ejpam-5567	40	28	any	any	DET
ejpam-5567	40	29	other	other	ADJ
ejpam-5567	40	30	researchers	researcher	NOUN
ejpam-5567	40	31	.	.	PUNCT
ejpam-5567	41	1	1.2	1.2	NUM
ejpam-5567	41	2	.	.	PUNCT
ejpam-5567	41	3	motivation	motivation	VERB
ejpam-5567	41	4	the	the	DET
ejpam-5567	41	5	research	research	NOUN
ejpam-5567	41	6	on	on	ADP
ejpam-5567	41	7	binary	binary	ADJ
ejpam-5567	41	8	soft	soft	ADJ
ejpam-5567	41	9	topological	topological	ADJ
ejpam-5567	41	10	spaces	space	NOUN
ejpam-5567	41	11	[	[	X
ejpam-5567	41	12	8	8	NUM
ejpam-5567	41	13	]	]	PUNCT
ejpam-5567	41	14	,	,	PUNCT
ejpam-5567	41	15	which	which	PRON
ejpam-5567	41	16	focuses	focus	VERB
ejpam-5567	41	17	on	on	ADP
ejpam-5567	41	18	two	two	NUM
ejpam-5567	41	19	initial	initial	ADJ
ejpam-5567	41	20	universe	universe	NOUN
ejpam-5567	41	21	sets	set	NOUN
ejpam-5567	41	22	with	with	ADP
ejpam-5567	41	23	a	a	DET
ejpam-5567	41	24	fixed	fix	VERB
ejpam-5567	41	25	set	set	NOUN
ejpam-5567	41	26	of	of	ADP
ejpam-5567	41	27	parameters	parameter	NOUN
ejpam-5567	41	28	,	,	PUNCT
ejpam-5567	41	29	became	become	VERB
ejpam-5567	41	30	a	a	DET
ejpam-5567	41	31	source	source	NOUN
ejpam-5567	41	32	of	of	ADP
ejpam-5567	41	33	motivation	motivation	NOUN
ejpam-5567	41	34	for	for	ADP
ejpam-5567	41	35	the	the	DET
ejpam-5567	41	36	development	development	NOUN
ejpam-5567	41	37	of	of	ADP
ejpam-5567	41	38	ternary	ternary	ADJ
ejpam-5567	41	39	soft	soft	ADJ
ejpam-5567	41	40	topology	topology	NOUN
ejpam-5567	41	41	by	by	ADP
ejpam-5567	41	42	providing	provide	VERB
ejpam-5567	41	43	a	a	DET
ejpam-5567	41	44	foundational	foundational	ADJ
ejpam-5567	41	45	framework	framework	NOUN
ejpam-5567	41	46	for	for	ADP
ejpam-5567	41	47	extending	extend	VERB
ejpam-5567	41	48	the	the	DET
ejpam-5567	41	49	concepts	concept	NOUN
ejpam-5567	41	50	into	into	ADP
ejpam-5567	41	51	more	more	ADJ
ejpam-5567	41	52	complex	complex	ADJ
ejpam-5567	41	53	spaces	space	NOUN
ejpam-5567	41	54	.	.	PUNCT
ejpam-5567	42	1	in	in	ADP
ejpam-5567	42	2	binary	binary	ADJ
ejpam-5567	42	3	soft	soft	ADJ
ejpam-5567	42	4	topology	topology	NOUN
ejpam-5567	42	5	,	,	PUNCT
ejpam-5567	42	6	key	key	ADJ
ejpam-5567	42	7	concepts	concept	NOUN
ejpam-5567	42	8	like	like	ADP
ejpam-5567	42	9	binary	binary	ADJ
ejpam-5567	42	10	soft	soft	ADJ
ejpam-5567	42	11	open	open	ADJ
ejpam-5567	42	12	sets	set	NOUN
ejpam-5567	42	13	,	,	PUNCT
ejpam-5567	42	14	closed	closed	ADJ
ejpam-5567	42	15	sets	set	NOUN
ejpam-5567	42	16	,	,	PUNCT
ejpam-5567	42	17	closure	closure	NOUN
ejpam-5567	42	18	,	,	PUNCT
ejpam-5567	42	19	interior	interior	NOUN
ejpam-5567	42	20	,	,	PUNCT
ejpam-5567	42	21	boundary	boundary	ADJ
ejpam-5567	42	22	,	,	PUNCT
ejpam-5567	42	23	and	and	CCONJ
ejpam-5567	42	24	neighborhoods	neighborhood	NOUN
ejpam-5567	42	25	were	be	AUX
ejpam-5567	42	26	introduced	introduce	VERB
ejpam-5567	42	27	and	and	CCONJ
ejpam-5567	42	28	their	their	PRON
ejpam-5567	42	29	basic	basic	ADJ
ejpam-5567	42	30	properties	property	NOUN
ejpam-5567	42	31	were	be	AUX
ejpam-5567	42	32	explored	explore	VERB
ejpam-5567	42	33	.	.	PUNCT
ejpam-5567	43	1	this	this	PRON
ejpam-5567	43	2	laid	lay	VERB
ejpam-5567	43	3	the	the	DET
ejpam-5567	43	4	groundwork	groundwork	NOUN
ejpam-5567	43	5	for	for	ADP
ejpam-5567	43	6	extending	extend	VERB
ejpam-5567	43	7	these	these	DET
ejpam-5567	43	8	definitions	definition	NOUN
ejpam-5567	43	9	to	to	ADP
ejpam-5567	43	10	ternary	ternary	VERB
ejpam-5567	43	11	soft	soft	ADJ
ejpam-5567	43	12	sets	set	NOUN
ejpam-5567	43	13	,	,	PUNCT
ejpam-5567	43	14	where	where	SCONJ
ejpam-5567	43	15	three	three	NUM
ejpam-5567	43	16	universes	universe	NOUN
ejpam-5567	43	17	are	be	AUX
ejpam-5567	43	18	involved	involve	VERB
ejpam-5567	43	19	instead	instead	ADV
ejpam-5567	43	20	of	of	ADP
ejpam-5567	43	21	just	just	ADV
ejpam-5567	43	22	two	two	NUM
ejpam-5567	43	23	.	.	PUNCT
ejpam-5567	44	1	m.	m.	NOUN
ejpam-5567	44	2	nawaz	nawaz	PROPN
ejpam-5567	44	3	et	et	PROPN
ejpam-5567	44	4	al	al	PROPN
ejpam-5567	44	5	.	.	PUNCT
ejpam-5567	44	6	/	/	SYM
ejpam-5567	44	7	eur	eur	PROPN
ejpam-5567	44	8	.	.	PUNCT
ejpam-5567	45	1	j.	j.	PROPN
ejpam-5567	45	2	pure	pure	PROPN
ejpam-5567	45	3	appl	appl	PROPN
ejpam-5567	45	4	.	.	PROPN
ejpam-5567	45	5	math	math	PROPN
ejpam-5567	45	6	,	,	PUNCT
ejpam-5567	45	7	18	18	NUM
ejpam-5567	45	8	(	(	PUNCT
ejpam-5567	45	9	1	1	NUM
ejpam-5567	45	10	)	)	PUNCT
ejpam-5567	45	11	(	(	PUNCT
ejpam-5567	45	12	2025	2025	NUM
ejpam-5567	45	13	)	)	PUNCT
ejpam-5567	45	14	,	,	PUNCT
ejpam-5567	45	15	5567	5567	NUM
ejpam-5567	45	16	3	3	NUM
ejpam-5567	45	17	of	of	ADP
ejpam-5567	45	18	45	45	NUM
ejpam-5567	45	19	1.3	1.3	NUM
ejpam-5567	45	20	.	.	PUNCT
ejpam-5567	46	1	literature	literature	PROPN
ejpam-5567	46	2	review	review	PROPN
ejpam-5567	46	3	maji	maji	PROPN
ejpam-5567	46	4	et	et	PROPN
ejpam-5567	46	5	al	al	PROPN
ejpam-5567	46	6	.	.	PUNCT
ejpam-5567	47	1	[	[	X
ejpam-5567	47	2	17	17	NUM
ejpam-5567	47	3	]	]	PUNCT
ejpam-5567	47	4	has	have	AUX
ejpam-5567	47	5	given	give	VERB
ejpam-5567	47	6	more	more	ADJ
ejpam-5567	47	7	depth	depth	NOUN
ejpam-5567	47	8	to	to	ADP
ejpam-5567	47	9	soft	soft	ADJ
ejpam-5567	47	10	set	set	ADJ
ejpam-5567	47	11	theory	theory	NOUN
ejpam-5567	47	12	technique	technique	NOUN
ejpam-5567	47	13	.	.	PUNCT
ejpam-5567	48	1	the	the	DET
ejpam-5567	48	2	authors	author	NOUN
ejpam-5567	48	3	made	make	VERB
ejpam-5567	48	4	the	the	DET
ejpam-5567	48	5	concept	concept	NOUN
ejpam-5567	48	6	of	of	ADP
ejpam-5567	48	7	different	different	ADJ
ejpam-5567	48	8	operations	operation	NOUN
ejpam-5567	48	9	namely	namely	ADV
ejpam-5567	48	10	,	,	PUNCT
ejpam-5567	48	11	sub	sub	ADJ
ejpam-5567	48	12	-	-	ADJ
ejpam-5567	48	13	set	set	ADJ
ejpam-5567	48	14	,	,	PUNCT
ejpam-5567	48	15	intersection	intersection	NOUN
ejpam-5567	48	16	,	,	PUNCT
ejpam-5567	48	17	union	union	NOUN
ejpam-5567	48	18	and	and	CCONJ
ejpam-5567	48	19	complement	complement	NOUN
ejpam-5567	48	20	of	of	ADP
ejpam-5567	48	21	soft	soft	ADJ
ejpam-5567	48	22	sets	set	NOUN
ejpam-5567	48	23	.	.	PUNCT
ejpam-5567	49	1	mathematics	mathematic	NOUN
ejpam-5567	49	2	were	be	AUX
ejpam-5567	49	3	continuously	continuously	ADV
ejpam-5567	49	4	working	work	VERB
ejpam-5567	49	5	over	over	ADP
ejpam-5567	49	6	this	this	DET
ejpam-5567	49	7	particular	particular	ADJ
ejpam-5567	49	8	technique	technique	NOUN
ejpam-5567	49	9	to	to	PART
ejpam-5567	49	10	make	make	VERB
ejpam-5567	49	11	it	it	PRON
ejpam-5567	49	12	more	more	ADV
ejpam-5567	49	13	applicable	applicable	ADJ
ejpam-5567	49	14	.	.	PUNCT
ejpam-5567	50	1	during	during	ADP
ejpam-5567	50	2	this	this	DET
ejpam-5567	50	3	journey	journey	NOUN
ejpam-5567	50	4	of	of	ADP
ejpam-5567	50	5	research	research	NOUN
ejpam-5567	50	6	in	in	ADP
ejpam-5567	50	7	general	general	ADJ
ejpam-5567	50	8	some	some	DET
ejpam-5567	50	9	result	result	NOUN
ejpam-5567	50	10	in	in	ADP
ejpam-5567	50	11	[	[	X
ejpam-5567	50	12	17	17	NUM
ejpam-5567	50	13	]	]	PUNCT
ejpam-5567	50	14	were	be	AUX
ejpam-5567	50	15	pointed	point	VERB
ejpam-5567	50	16	out	out	ADP
ejpam-5567	50	17	to	to	PART
ejpam-5567	50	18	be	be	AUX
ejpam-5567	50	19	weak	weak	ADJ
ejpam-5567	50	20	and	and	CCONJ
ejpam-5567	50	21	these	these	DET
ejpam-5567	50	22	results	result	NOUN
ejpam-5567	50	23	were	be	AUX
ejpam-5567	50	24	not	not	PART
ejpam-5567	50	25	true	true	ADJ
ejpam-5567	50	26	in	in	ADP
ejpam-5567	50	27	journal	journal	NOUN
ejpam-5567	50	28	.	.	PUNCT
ejpam-5567	51	1	the	the	DET
ejpam-5567	51	2	attempt	attempt	NOUN
ejpam-5567	51	3	was	be	AUX
ejpam-5567	51	4	made	make	VERB
ejpam-5567	51	5	by	by	ADP
ejpam-5567	51	6	yang	yang	PROPN
ejpam-5567	52	1	[	[	X
ejpam-5567	52	2	26	26	NUM
ejpam-5567	52	3	]	]	PUNCT
ejpam-5567	52	4	,	,	PUNCT
ejpam-5567	52	5	ali	ali	PROPN
ejpam-5567	52	6	et	et	PROPN
ejpam-5567	52	7	al	al	PROPN
ejpam-5567	52	8	.	.	PUNCT
ejpam-5567	53	1	[	[	X
ejpam-5567	53	2	3	3	X
ejpam-5567	53	3	]	]	PUNCT
ejpam-5567	53	4	and	and	CCONJ
ejpam-5567	53	5	sezgin	sezgin	VERB
ejpam-5567	53	6	and	and	CCONJ
ejpam-5567	53	7	atagun	atagun	VERB
ejpam-5567	53	8	[	[	X
ejpam-5567	53	9	23	23	NUM
ejpam-5567	53	10	]	]	PUNCT
ejpam-5567	53	11	.	.	PUNCT
ejpam-5567	54	1	it	it	PRON
ejpam-5567	54	2	is	be	AUX
ejpam-5567	54	3	worth	worth	ADJ
ejpam-5567	54	4	nothing	nothing	PRON
ejpam-5567	54	5	that	that	PRON
ejpam-5567	54	6	the	the	DET
ejpam-5567	54	7	complement	complement	NOUN
ejpam-5567	54	8	defined	define	VERB
ejpam-5567	54	9	in	in	ADP
ejpam-5567	54	10	[	[	X
ejpam-5567	54	11	3	3	NUM
ejpam-5567	54	12	]	]	PUNCT
ejpam-5567	54	13	are	be	AUX
ejpam-5567	54	14	define	define	ADJ
ejpam-5567	54	15	in	in	ADP
ejpam-5567	54	16	two	two	NUM
ejpam-5567	54	17	different	different	ADJ
ejpam-5567	54	18	ways	way	NOUN
ejpam-5567	54	19	.	.	PUNCT
ejpam-5567	55	1	one	one	NUM
ejpam-5567	55	2	is	be	AUX
ejpam-5567	55	3	defining	define	VERB
ejpam-5567	55	4	with	with	ADP
ejpam-5567	55	5	not	not	PART
ejpam-5567	55	6	set	set	VERB
ejpam-5567	55	7	of	of	ADP
ejpam-5567	55	8	parameters	parameter	NOUN
ejpam-5567	55	9	and	and	CCONJ
ejpam-5567	55	10	the	the	DET
ejpam-5567	55	11	other	other	ADJ
ejpam-5567	55	12	is	be	AUX
ejpam-5567	55	13	define	define	NOUN
ejpam-5567	55	14	without	without	ADP
ejpam-5567	55	15	the	the	DET
ejpam-5567	55	16	not	not	PART
ejpam-5567	55	17	set	set	NOUN
ejpam-5567	55	18	of	of	ADP
ejpam-5567	55	19	parameter	parameter	NOUN
ejpam-5567	55	20	.	.	PUNCT
ejpam-5567	56	1	journey	journey	NOUN
ejpam-5567	56	2	was	be	AUX
ejpam-5567	56	3	continued	continue	VERB
ejpam-5567	56	4	toward	toward	ADP
ejpam-5567	56	5	this	this	DET
ejpam-5567	56	6	goal	goal	NOUN
ejpam-5567	56	7	and	and	CCONJ
ejpam-5567	56	8	finally	finally	ADV
ejpam-5567	56	9	maji	maji	PROPN
ejpam-5567	56	10	et	et	PROPN
ejpam-5567	56	11	al	al	PROPN
ejpam-5567	56	12	.	.	PUNCT
ejpam-5567	57	1	[	[	X
ejpam-5567	57	2	15	15	NUM
ejpam-5567	57	3	]	]	PUNCT
ejpam-5567	57	4	defined	define	VERB
ejpam-5567	57	5	the	the	DET
ejpam-5567	57	6	concept	concept	NOUN
ejpam-5567	57	7	of	of	ADP
ejpam-5567	57	8	fuzzy	fuzzy	ADJ
ejpam-5567	57	9	soft	soft	ADJ
ejpam-5567	57	10	set	set	NOUN
ejpam-5567	57	11	which	which	PRON
ejpam-5567	57	12	is	be	AUX
ejpam-5567	57	13	actually	actually	ADV
ejpam-5567	57	14	extension	extension	NOUN
ejpam-5567	57	15	of	of	ADP
ejpam-5567	57	16	fuzzy	fuzzy	ADJ
ejpam-5567	57	17	set	set	VERB
ejpam-5567	57	18	to	to	ADP
ejpam-5567	57	19	a	a	DET
ejpam-5567	57	20	new	new	ADJ
ejpam-5567	57	21	domain	domain	NOUN
ejpam-5567	57	22	.	.	PUNCT
ejpam-5567	58	1	the	the	DET
ejpam-5567	58	2	concept	concept	NOUN
ejpam-5567	58	3	of	of	ADP
ejpam-5567	58	4	another	another	DET
ejpam-5567	58	5	technique	technique	NOUN
ejpam-5567	58	6	which	which	PRON
ejpam-5567	58	7	is	be	AUX
ejpam-5567	58	8	known	know	VERB
ejpam-5567	58	9	as	as	ADP
ejpam-5567	58	10	intuitionistic	intuitionistic	ADJ
ejpam-5567	58	11	fuzzy	fuzzy	ADJ
ejpam-5567	58	12	soft	soft	ADJ
ejpam-5567	58	13	set	set	NOUN
ejpam-5567	58	14	was	be	AUX
ejpam-5567	58	15	discussed	discuss	VERB
ejpam-5567	58	16	in	in	ADP
ejpam-5567	58	17	[	[	X
ejpam-5567	58	18	16	16	NUM
ejpam-5567	58	19	]	]	PUNCT
ejpam-5567	58	20	.	.	PUNCT
ejpam-5567	59	1	feng	feng	PROPN
ejpam-5567	59	2	et	et	PROPN
ejpam-5567	59	3	al	al	PROPN
ejpam-5567	59	4	.	.	PUNCT
ejpam-5567	60	1	[	[	X
ejpam-5567	60	2	10	10	NUM
ejpam-5567	60	3	]	]	PUNCT
ejpam-5567	60	4	made	make	VERB
ejpam-5567	60	5	a	a	DET
ejpam-5567	60	6	marriage	marriage	NOUN
ejpam-5567	60	7	of	of	ADP
ejpam-5567	60	8	fuzzy	fuzzy	ADJ
ejpam-5567	60	9	set	set	VERB
ejpam-5567	60	10	with	with	ADP
ejpam-5567	60	11	rough	rough	ADJ
ejpam-5567	60	12	sets	set	NOUN
ejpam-5567	60	13	as	as	ADP
ejpam-5567	60	14	tentative	tentative	ADJ
ejpam-5567	60	15	approach	approach	NOUN
ejpam-5567	60	16	.	.	PUNCT
ejpam-5567	61	1	m.	m.	PROPN
ejpam-5567	61	2	i.	i.	PROPN
ejpam-5567	61	3	ali	ali	PROPN
ejpam-5567	61	4	et	et	PROPN
ejpam-5567	61	5	al	al	PROPN
ejpam-5567	61	6	.	.	PUNCT
ejpam-5567	62	1	[	[	X
ejpam-5567	62	2	4	4	X
ejpam-5567	62	3	]	]	PUNCT
ejpam-5567	62	4	launched	launch	VERB
ejpam-5567	62	5	new	new	ADJ
ejpam-5567	62	6	structure	structure	NOUN
ejpam-5567	62	7	known	know	VERB
ejpam-5567	62	8	as	as	ADP
ejpam-5567	62	9	algebraic	algebraic	ADJ
ejpam-5567	62	10	structure	structure	NOUN
ejpam-5567	62	11	of	of	ADP
ejpam-5567	62	12	soft	soft	ADJ
ejpam-5567	62	13	sets	set	NOUN
ejpam-5567	62	14	.	.	PUNCT
ejpam-5567	63	1	shabir	shabir	PROPN
ejpam-5567	63	2	et	et	PROPN
ejpam-5567	63	3	al	al	PROPN
ejpam-5567	63	4	.	.	PUNCT
ejpam-5567	64	1	[	[	X
ejpam-5567	64	2	24	24	NUM
ejpam-5567	64	3	]	]	PUNCT
ejpam-5567	64	4	for	for	ADP
ejpam-5567	64	5	the	the	DET
ejpam-5567	64	6	first	first	ADJ
ejpam-5567	64	7	time	time	NOUN
ejpam-5567	64	8	leaked	leak	VERB
ejpam-5567	64	9	out	out	ADP
ejpam-5567	64	10	the	the	DET
ejpam-5567	64	11	concept	concept	NOUN
ejpam-5567	64	12	of	of	ADP
ejpam-5567	64	13	soft	soft	ADJ
ejpam-5567	64	14	topology	topology	NOUN
ejpam-5567	64	15	.	.	PUNCT
ejpam-5567	65	1	acikgoz	acikgoz	PROPN
ejpam-5567	65	2	et	et	PROPN
ejpam-5567	65	3	al	al	PROPN
ejpam-5567	65	4	.	.	PUNCT
ejpam-5567	66	1	[	[	X
ejpam-5567	66	2	1	1	X
ejpam-5567	66	3	]	]	PUNCT
ejpam-5567	66	4	tried	try	VERB
ejpam-5567	66	5	his	his	PRON
ejpam-5567	66	6	hand	hand	NOUN
ejpam-5567	66	7	for	for	ADP
ejpam-5567	66	8	the	the	DET
ejpam-5567	66	9	first	first	ADJ
ejpam-5567	66	10	time	time	NOUN
ejpam-5567	66	11	on	on	ADP
ejpam-5567	66	12	binary	binary	ADJ
ejpam-5567	66	13	soft	soft	ADJ
ejpam-5567	66	14	set	set	NOUN
ejpam-5567	66	15	theory	theory	NOUN
ejpam-5567	66	16	and	and	CCONJ
ejpam-5567	66	17	was	be	AUX
ejpam-5567	66	18	beautifully	beautifully	ADV
ejpam-5567	66	19	succeeded	succeed	VERB
ejpam-5567	66	20	.	.	PUNCT
ejpam-5567	67	1	examples	example	NOUN
ejpam-5567	67	2	were	be	AUX
ejpam-5567	67	3	also	also	ADV
ejpam-5567	67	4	given	give	VERB
ejpam-5567	67	5	regarding	regard	VERB
ejpam-5567	67	6	this	this	DET
ejpam-5567	67	7	theory	theory	NOUN
ejpam-5567	67	8	.	.	PUNCT
ejpam-5567	68	1	shivanagappa	shivanagappa	PROPN
ejpam-5567	68	2	et	et	PROPN
ejpam-5567	68	3	al	al	PROPN
ejpam-5567	68	4	.	.	PUNCT
ejpam-5567	69	1	[	[	X
ejpam-5567	69	2	8	8	NUM
ejpam-5567	69	3	]	]	PUNCT
ejpam-5567	69	4	on	on	ADP
ejpam-5567	69	5	the	the	DET
ejpam-5567	69	6	basis	basis	NOUN
ejpam-5567	69	7	of	of	ADP
ejpam-5567	69	8	[	[	X
ejpam-5567	69	9	1	1	NUM
ejpam-5567	69	10	]	]	PUNCT
ejpam-5567	69	11	ushered	usher	VERB
ejpam-5567	69	12	in	in	ADP
ejpam-5567	69	13	a	a	DET
ejpam-5567	69	14	new	new	ADJ
ejpam-5567	69	15	concept	concept	NOUN
ejpam-5567	69	16	of	of	ADP
ejpam-5567	69	17	binary	binary	ADJ
ejpam-5567	69	18	soft	soft	ADJ
ejpam-5567	69	19	topological	topological	ADJ
ejpam-5567	69	20	spaces	space	NOUN
ejpam-5567	69	21	.	.	PUNCT
ejpam-5567	70	1	mehmood	mehmood	PROPN
ejpam-5567	70	2	et	et	PROPN
ejpam-5567	70	3	al	al	PROPN
ejpam-5567	70	4	.	.	PUNCT
ejpam-5567	71	1	[	[	X
ejpam-5567	71	2	14	14	NUM
ejpam-5567	71	3	]	]	PUNCT
ejpam-5567	71	4	discussed	discuss	VERB
ejpam-5567	71	5	binary	binary	ADJ
ejpam-5567	71	6	soft	soft	ADJ
ejpam-5567	71	7	topological	topological	ADJ
ejpam-5567	71	8	spaces	space	NOUN
ejpam-5567	71	9	.	.	PUNCT
ejpam-5567	72	1	with	with	ADP
ejpam-5567	72	2	respect	respect	NOUN
ejpam-5567	72	3	to	to	ADP
ejpam-5567	72	4	generalized	generalize	VERB
ejpam-5567	72	5	open	open	ADJ
ejpam-5567	72	6	set	set	NOUN
ejpam-5567	72	7	known	know	VERB
ejpam-5567	72	8	as	as	ADP
ejpam-5567	72	9	pre	pre	ADJ
ejpam-5567	72	10	-	-	ADJ
ejpam-5567	72	11	open	open	ADJ
ejpam-5567	72	12	sets	set	NOUN
ejpam-5567	72	13	.	.	PUNCT
ejpam-5567	73	1	this	this	DET
ejpam-5567	73	2	paper	paper	NOUN
ejpam-5567	73	3	is	be	AUX
ejpam-5567	73	4	structured	structure	VERB
ejpam-5567	73	5	into	into	ADP
ejpam-5567	73	6	nine	nine	NUM
ejpam-5567	73	7	sections	section	NOUN
ejpam-5567	73	8	.	.	PUNCT
ejpam-5567	74	1	section	section	NOUN
ejpam-5567	74	2	1	1	NUM
ejpam-5567	74	3	provides	provide	VERB
ejpam-5567	74	4	an	an	DET
ejpam-5567	74	5	introduction	introduction	NOUN
ejpam-5567	74	6	to	to	ADP
ejpam-5567	74	7	the	the	DET
ejpam-5567	74	8	study	study	NOUN
ejpam-5567	74	9	,	,	PUNCT
ejpam-5567	74	10	organized	organize	VERB
ejpam-5567	74	11	into	into	ADP
ejpam-5567	74	12	three	three	NUM
ejpam-5567	74	13	subsections	subsection	NOUN
ejpam-5567	74	14	:	:	PUNCT
ejpam-5567	74	15	1.1	1.1	NUM
ejpam-5567	74	16	research	research	NOUN
ejpam-5567	74	17	gap	gap	NOUN
ejpam-5567	74	18	,	,	PUNCT
ejpam-5567	74	19	1.2	1.2	NUM
ejpam-5567	74	20	motivation	motivation	NOUN
ejpam-5567	74	21	,	,	PUNCT
ejpam-5567	74	22	and	and	CCONJ
ejpam-5567	74	23	1.3	1.3	NUM
ejpam-5567	74	24	literature	literature	NOUN
ejpam-5567	74	25	review	review	NOUN
ejpam-5567	74	26	.	.	PUNCT
ejpam-5567	75	1	each	each	DET
ejpam-5567	75	2	subsection	subsection	NOUN
ejpam-5567	75	3	addresses	address	VERB
ejpam-5567	75	4	a	a	DET
ejpam-5567	75	5	specific	specific	ADJ
ejpam-5567	75	6	aspect	aspect	NOUN
ejpam-5567	75	7	of	of	ADP
ejpam-5567	75	8	the	the	DET
ejpam-5567	75	9	research	research	NOUN
ejpam-5567	75	10	,	,	PUNCT
ejpam-5567	75	11	laying	lay	VERB
ejpam-5567	75	12	the	the	DET
ejpam-5567	75	13	foundation	foundation	NOUN
ejpam-5567	75	14	for	for	ADP
ejpam-5567	75	15	the	the	DET
ejpam-5567	75	16	study	study	NOUN
ejpam-5567	75	17	’s	’s	PART
ejpam-5567	75	18	focus	focus	NOUN
ejpam-5567	75	19	and	and	CCONJ
ejpam-5567	75	20	approach	approach	NOUN
ejpam-5567	75	21	.	.	PUNCT
ejpam-5567	76	1	section	section	NOUN
ejpam-5567	76	2	2	2	NUM
ejpam-5567	76	3	revisits	revisit	VERB
ejpam-5567	76	4	the	the	DET
ejpam-5567	76	5	fundamental	fundamental	ADJ
ejpam-5567	76	6	concepts	concept	NOUN
ejpam-5567	76	7	relevant	relevant	ADJ
ejpam-5567	76	8	to	to	ADP
ejpam-5567	76	9	the	the	DET
ejpam-5567	76	10	study	study	NOUN
ejpam-5567	76	11	.	.	PUNCT
ejpam-5567	77	1	section	section	NOUN
ejpam-5567	77	2	3	3	NUM
ejpam-5567	77	3	is	be	AUX
ejpam-5567	77	4	devoted	devote	VERB
ejpam-5567	77	5	to	to	ADP
ejpam-5567	77	6	characterizing	characterize	VERB
ejpam-5567	77	7	ternary	ternary	ADJ
ejpam-5567	77	8	soft	soft	ADJ
ejpam-5567	77	9	sets	set	NOUN
ejpam-5567	77	10	,	,	PUNCT
ejpam-5567	77	11	including	include	VERB
ejpam-5567	77	12	their	their	PRON
ejpam-5567	77	13	definitions	definition	NOUN
ejpam-5567	77	14	,	,	PUNCT
ejpam-5567	77	15	operations	operation	NOUN
ejpam-5567	77	16	,	,	PUNCT
ejpam-5567	77	17	and	and	CCONJ
ejpam-5567	77	18	properties	property	NOUN
ejpam-5567	77	19	.	.	PUNCT
ejpam-5567	78	1	section	section	NOUN
ejpam-5567	78	2	4	4	NUM
ejpam-5567	78	3	characterizes	characterize	VERB
ejpam-5567	78	4	some	some	DET
ejpam-5567	78	5	results	result	NOUN
ejpam-5567	78	6	in	in	ADP
ejpam-5567	78	7	terms	term	NOUN
ejpam-5567	78	8	of	of	ADP
ejpam-5567	78	9	operators	operator	NOUN
ejpam-5567	78	10	.	.	PUNCT
ejpam-5567	79	1	section	section	NOUN
ejpam-5567	79	2	5	5	NUM
ejpam-5567	79	3	explores	explore	VERB
ejpam-5567	79	4	some	some	DET
ejpam-5567	79	5	structures	structure	NOUN
ejpam-5567	79	6	of	of	ADP
ejpam-5567	79	7	ternary	ternary	ADJ
ejpam-5567	79	8	soft	soft	ADJ
ejpam-5567	79	9	topological	topological	ADJ
ejpam-5567	79	10	spaces	space	NOUN
ejpam-5567	79	11	.	.	PUNCT
ejpam-5567	80	1	section	section	NOUN
ejpam-5567	80	2	6	6	NUM
ejpam-5567	80	3	is	be	AUX
ejpam-5567	80	4	devoted	devote	VERB
ejpam-5567	80	5	to	to	ADP
ejpam-5567	80	6	the	the	DET
ejpam-5567	80	7	characterization	characterization	NOUN
ejpam-5567	80	8	of	of	ADP
ejpam-5567	80	9	additional	additional	ADJ
ejpam-5567	80	10	results	result	NOUN
ejpam-5567	80	11	in	in	ADP
ejpam-5567	80	12	terms	term	NOUN
ejpam-5567	80	13	of	of	ADP
ejpam-5567	80	14	interior	interior	ADJ
ejpam-5567	80	15	and	and	CCONJ
ejpam-5567	80	16	closures	closure	NOUN
ejpam-5567	80	17	.	.	PUNCT
ejpam-5567	81	1	section	section	NOUN
ejpam-5567	81	2	7	7	NUM
ejpam-5567	81	3	is	be	AUX
ejpam-5567	81	4	the	the	DET
ejpam-5567	81	5	most	most	ADV
ejpam-5567	81	6	important	important	ADJ
ejpam-5567	81	7	section	section	NOUN
ejpam-5567	81	8	,	,	PUNCT
ejpam-5567	81	9	as	as	SCONJ
ejpam-5567	81	10	it	it	PRON
ejpam-5567	81	11	highlights	highlight	VERB
ejpam-5567	81	12	the	the	DET
ejpam-5567	81	13	strength	strength	NOUN
ejpam-5567	81	14	of	of	ADP
ejpam-5567	81	15	our	our	PRON
ejpam-5567	81	16	new	new	ADJ
ejpam-5567	81	17	work	work	NOUN
ejpam-5567	81	18	.	.	PUNCT
ejpam-5567	82	1	section	section	NOUN
ejpam-5567	82	2	8	8	NUM
ejpam-5567	82	3	discusses	discuss	VERB
ejpam-5567	82	4	some	some	DET
ejpam-5567	82	5	hereditary	hereditary	ADJ
ejpam-5567	82	6	,	,	PUNCT
ejpam-5567	82	7	separation	separation	NOUN
ejpam-5567	82	8	axioms	axiom	NOUN
ejpam-5567	82	9	and	and	CCONJ
ejpam-5567	82	10	other	other	ADJ
ejpam-5567	82	11	separation	separation	NOUN
ejpam-5567	82	12	axioms	axiom	NOUN
ejpam-5567	82	13	.	.	PUNCT
ejpam-5567	83	1	section	section	NOUN
ejpam-5567	83	2	9	9	NUM
ejpam-5567	83	3	discusses	discuss	VERB
ejpam-5567	83	4	the	the	DET
ejpam-5567	83	5	comparative	comparative	ADJ
ejpam-5567	83	6	analysis	analysis	NOUN
ejpam-5567	83	7	.	.	PUNCT
ejpam-5567	84	1	section	section	NOUN
ejpam-5567	84	2	9	9	NUM
ejpam-5567	84	3	discusses	discuss	VERB
ejpam-5567	84	4	the	the	DET
ejpam-5567	84	5	merits	merit	NOUN
ejpam-5567	84	6	,	,	PUNCT
ejpam-5567	84	7	while	while	SCONJ
ejpam-5567	84	8	section	section	NOUN
ejpam-5567	84	9	10	10	NUM
ejpam-5567	84	10	addresses	address	NOUN
ejpam-5567	84	11	the	the	DET
ejpam-5567	84	12	demerits	demerit	NOUN
ejpam-5567	84	13	of	of	ADP
ejpam-5567	84	14	our	our	PRON
ejpam-5567	84	15	new	new	ADJ
ejpam-5567	84	16	work	work	NOUN
ejpam-5567	84	17	.	.	PUNCT
ejpam-5567	85	1	the	the	DET
ejpam-5567	85	2	final	final	ADJ
ejpam-5567	85	3	section	section	NOUN
ejpam-5567	85	4	,	,	PUNCT
ejpam-5567	85	5	section	section	NOUN
ejpam-5567	85	6	11	11	NUM
ejpam-5567	85	7	,	,	PUNCT
ejpam-5567	85	8	is	be	AUX
ejpam-5567	85	9	devoted	devote	VERB
ejpam-5567	85	10	to	to	ADP
ejpam-5567	85	11	the	the	DET
ejpam-5567	85	12	conclusion	conclusion	NOUN
ejpam-5567	85	13	and	and	CCONJ
ejpam-5567	85	14	future	future	ADJ
ejpam-5567	85	15	work	work	NOUN
ejpam-5567	85	16	2	2	NUM
ejpam-5567	85	17	.	.	PUNCT
ejpam-5567	85	18	preliminaries	preliminary	NOUN
ejpam-5567	85	19	/	/	SYM
ejpam-5567	85	20	basic	basic	ADJ
ejpam-5567	85	21	concepts	concept	NOUN
ejpam-5567	85	22	in	in	ADP
ejpam-5567	85	23	this	this	DET
ejpam-5567	85	24	section	section	NOUN
ejpam-5567	85	25	,	,	PUNCT
ejpam-5567	85	26	various	various	ADJ
ejpam-5567	85	27	operations	operation	NOUN
ejpam-5567	85	28	on	on	ADP
ejpam-5567	85	29	binary	binary	ADJ
ejpam-5567	85	30	soft	soft	ADJ
ejpam-5567	85	31	sets	set	NOUN
ejpam-5567	85	32	,	,	PUNCT
ejpam-5567	85	33	including	include	VERB
ejpam-5567	85	34	union	union	NOUN
ejpam-5567	85	35	,	,	PUNCT
ejpam-5567	85	36	intersection	intersection	NOUN
ejpam-5567	85	37	,	,	PUNCT
ejpam-5567	85	38	difference	difference	NOUN
ejpam-5567	85	39	,	,	PUNCT
ejpam-5567	85	40	and	and	CCONJ
ejpam-5567	85	41	logical	logical	ADJ
ejpam-5567	85	42	operations	operation	NOUN
ejpam-5567	85	43	(	(	PUNCT
ejpam-5567	85	44	and	and	CCONJ
ejpam-5567	85	45	,	,	PUNCT
ejpam-5567	85	46	or	or	CCONJ
ejpam-5567	85	47	)	)	PUNCT
ejpam-5567	85	48	,	,	PUNCT
ejpam-5567	85	49	as	as	ADV
ejpam-5567	85	50	well	well	ADV
ejpam-5567	85	51	as	as	ADP
ejpam-5567	85	52	the	the	DET
ejpam-5567	85	53	definitions	definition	NOUN
ejpam-5567	85	54	of	of	ADP
ejpam-5567	85	55	binary	binary	PROPN
ejpam-5567	85	56	null	null	ADJ
ejpam-5567	85	57	and	and	CCONJ
ejpam-5567	85	58	absolute	absolute	ADJ
ejpam-5567	85	59	soft	soft	ADJ
ejpam-5567	85	60	sets	set	NOUN
ejpam-5567	85	61	and	and	CCONJ
ejpam-5567	85	62	their	their	PRON
ejpam-5567	85	63	complements	complement	NOUN
ejpam-5567	85	64	,	,	PUNCT
ejpam-5567	85	65	are	be	AUX
ejpam-5567	85	66	discussed	discuss	VERB
ejpam-5567	85	67	,	,	PUNCT
ejpam-5567	85	68	providing	provide	VERB
ejpam-5567	85	69	a	a	DET
ejpam-5567	85	70	foundational	foundational	ADJ
ejpam-5567	85	71	framework	framework	NOUN
ejpam-5567	85	72	for	for	ADP
ejpam-5567	85	73	further	further	ADJ
ejpam-5567	85	74	applications	application	NOUN
ejpam-5567	85	75	and	and	CCONJ
ejpam-5567	85	76	theoretical	theoretical	ADJ
ejpam-5567	85	77	developments	development	NOUN
ejpam-5567	85	78	in	in	ADP
ejpam-5567	85	79	soft	soft	ADJ
ejpam-5567	85	80	set	set	NOUN
ejpam-5567	85	81	theory	theory	NOUN
ejpam-5567	85	82	.	.	PUNCT
ejpam-5567	86	1	definition	definition	NOUN
ejpam-5567	86	2	1	1	NUM
ejpam-5567	86	3	.	.	PUNCT
ejpam-5567	87	1	[	[	X
ejpam-5567	87	2	1	1	X
ejpam-5567	87	3	]	]	PUNCT
ejpam-5567	87	4	let	let	VERB
ejpam-5567	87	5	u	u	PRON
ejpam-5567	87	6	be	be	AUX
ejpam-5567	87	7	a	a	DET
ejpam-5567	87	8	universal	universal	ADJ
ejpam-5567	87	9	set	set	NOUN
ejpam-5567	87	10	,	,	PUNCT
ejpam-5567	87	11	and	and	CCONJ
ejpam-5567	87	12	let	let	VERB
ejpam-5567	87	13	p	p	NOUN
ejpam-5567	87	14	(	(	PUNCT
ejpam-5567	87	15	u	u	NOUN
ejpam-5567	87	16	)	)	PUNCT
ejpam-5567	87	17	be	be	VERB
ejpam-5567	87	18	the	the	DET
ejpam-5567	87	19	power	power	NOUN
ejpam-5567	87	20	set	set	NOUN
ejpam-5567	87	21	of	of	ADP
ejpam-5567	87	22	u	u	NOUN
ejpam-5567	87	23	.	.	PUNCT
ejpam-5567	88	1	if	if	SCONJ
ejpam-5567	88	2	e	e	PROPN
ejpam-5567	88	3	is	be	AUX
ejpam-5567	88	4	a	a	DET
ejpam-5567	88	5	set	set	NOUN
ejpam-5567	88	6	of	of	ADP
ejpam-5567	88	7	parameters	parameter	NOUN
ejpam-5567	88	8	and	and	CCONJ
ejpam-5567	88	9	a	a	DET
ejpam-5567	88	10	⊆	⊆	NUM
ejpam-5567	88	11	e	e	NOUN
ejpam-5567	88	12	,	,	PUNCT
ejpam-5567	88	13	then	then	ADV
ejpam-5567	88	14	a	a	DET
ejpam-5567	88	15	pair	pair	NOUN
ejpam-5567	88	16	(	(	PUNCT
ejpam-5567	88	17	f	f	X
ejpam-5567	88	18	,	,	PUNCT
ejpam-5567	88	19	a	a	PRON
ejpam-5567	88	20	)	)	PUNCT
ejpam-5567	88	21	is	be	AUX
ejpam-5567	88	22	said	say	VERB
ejpam-5567	88	23	to	to	PART
ejpam-5567	88	24	be	be	AUX
ejpam-5567	88	25	a	a	DET
ejpam-5567	88	26	soft	soft	ADJ
ejpam-5567	88	27	set	set	NOUN
ejpam-5567	88	28	over	over	ADP
ejpam-5567	88	29	u	u	PROPN
ejpam-5567	88	30	,	,	PUNCT
ejpam-5567	88	31	where	where	SCONJ
ejpam-5567	88	32	f	f	PROPN
ejpam-5567	88	33	is	be	AUX
ejpam-5567	88	34	defined	define	VERB
ejpam-5567	88	35	as	as	ADP
ejpam-5567	88	36	below	below	ADV
ejpam-5567	88	37	:	:	PUNCT
ejpam-5567	88	38	f	f	X
ejpam-5567	88	39	:	:	PUNCT
ejpam-5567	88	40	a	a	DET
ejpam-5567	88	41	→	→	SYM
ejpam-5567	88	42	p	p	X
ejpam-5567	88	43	(	(	PUNCT
ejpam-5567	88	44	u	u	NOUN
ejpam-5567	88	45	)	)	PUNCT
ejpam-5567	88	46	.	.	PUNCT
ejpam-5567	89	1	m.	m.	NOUN
ejpam-5567	89	2	nawaz	nawaz	PROPN
ejpam-5567	89	3	et	et	PROPN
ejpam-5567	89	4	al	al	PROPN
ejpam-5567	89	5	.	.	PUNCT
ejpam-5567	89	6	/	/	SYM
ejpam-5567	89	7	eur	eur	PROPN
ejpam-5567	89	8	.	.	PUNCT
ejpam-5567	90	1	j.	j.	PROPN
ejpam-5567	90	2	pure	pure	PROPN
ejpam-5567	90	3	appl	appl	PROPN
ejpam-5567	90	4	.	.	PROPN
ejpam-5567	90	5	math	math	PROPN
ejpam-5567	90	6	,	,	PUNCT
ejpam-5567	90	7	18	18	NUM
ejpam-5567	90	8	(	(	PUNCT
ejpam-5567	90	9	1	1	NUM
ejpam-5567	90	10	)	)	PUNCT
ejpam-5567	90	11	(	(	PUNCT
ejpam-5567	90	12	2025	2025	NUM
ejpam-5567	90	13	)	)	PUNCT
ejpam-5567	90	14	,	,	PUNCT
ejpam-5567	90	15	5567	5567	NUM
ejpam-5567	90	16	4	4	NUM
ejpam-5567	90	17	of	of	ADP
ejpam-5567	90	18	45	45	NUM
ejpam-5567	90	19	.	.	PUNCT
ejpam-5567	91	1	definition	definition	NOUN
ejpam-5567	91	2	2	2	NUM
ejpam-5567	91	3	.	.	PUNCT
ejpam-5567	92	1	[	[	X
ejpam-5567	92	2	1	1	X
ejpam-5567	92	3	]	]	X
ejpam-5567	92	4	let	let	VERB
ejpam-5567	92	5	u1	u1	NOUN
ejpam-5567	92	6	and	and	CCONJ
ejpam-5567	92	7	u2	u2	PROPN
ejpam-5567	92	8	be	be	AUX
ejpam-5567	92	9	two	two	NUM
ejpam-5567	92	10	universal	universal	ADJ
ejpam-5567	92	11	sets	set	NOUN
ejpam-5567	92	12	,	,	PUNCT
ejpam-5567	92	13	and	and	CCONJ
ejpam-5567	92	14	let	let	VERB
ejpam-5567	92	15	p	p	PROPN
ejpam-5567	92	16	(	(	PUNCT
ejpam-5567	92	17	u1	u1	NOUN
ejpam-5567	92	18	)	)	PUNCT
ejpam-5567	92	19	and	and	CCONJ
ejpam-5567	92	20	p	p	X
ejpam-5567	92	21	(	(	PUNCT
ejpam-5567	92	22	u2	u2	PROPN
ejpam-5567	92	23	)	)	PUNCT
ejpam-5567	92	24	be	be	VERB
ejpam-5567	92	25	the	the	DET
ejpam-5567	92	26	power	power	NOUN
ejpam-5567	92	27	sets	set	NOUN
ejpam-5567	92	28	of	of	ADP
ejpam-5567	92	29	u1	u1	NOUN
ejpam-5567	92	30	and	and	CCONJ
ejpam-5567	92	31	u2	u2	NOUN
ejpam-5567	92	32	.	.	PUNCT
ejpam-5567	93	1	if	if	SCONJ
ejpam-5567	93	2	e	e	PROPN
ejpam-5567	93	3	is	be	AUX
ejpam-5567	93	4	a	a	DET
ejpam-5567	93	5	set	set	NOUN
ejpam-5567	93	6	of	of	ADP
ejpam-5567	93	7	parameters	parameter	NOUN
ejpam-5567	93	8	and	and	CCONJ
ejpam-5567	93	9	a	a	DET
ejpam-5567	93	10	⊆	⊆	NUM
ejpam-5567	93	11	e	e	NOUN
ejpam-5567	93	12	,	,	PUNCT
ejpam-5567	93	13	then	then	ADV
ejpam-5567	93	14	a	a	DET
ejpam-5567	93	15	pair	pair	NOUN
ejpam-5567	93	16	(	(	PUNCT
ejpam-5567	93	17	f	f	X
ejpam-5567	93	18	,	,	PUNCT
ejpam-5567	93	19	a	a	PRON
ejpam-5567	93	20	)	)	PUNCT
ejpam-5567	93	21	is	be	AUX
ejpam-5567	93	22	said	say	VERB
ejpam-5567	93	23	to	to	PART
ejpam-5567	93	24	be	be	AUX
ejpam-5567	93	25	a	a	DET
ejpam-5567	93	26	binary	binary	ADJ
ejpam-5567	93	27	soft	soft	ADJ
ejpam-5567	93	28	set	set	NOUN
ejpam-5567	93	29	(	(	PUNCT
ejpam-5567	93	30	bss	bss	NOUN
ejpam-5567	93	31	)	)	PUNCT
ejpam-5567	93	32	over	over	ADP
ejpam-5567	93	33	u1	u1	PROPN
ejpam-5567	93	34	,	,	PUNCT
ejpam-5567	93	35	u2	u2	PROPN
ejpam-5567	93	36	,	,	PUNCT
ejpam-5567	93	37	where	where	SCONJ
ejpam-5567	93	38	f	f	PROPN
ejpam-5567	93	39	is	be	AUX
ejpam-5567	93	40	defined	define	VERB
ejpam-5567	93	41	as	as	ADP
ejpam-5567	93	42	below	below	ADV
ejpam-5567	93	43	:	:	PUNCT
ejpam-5567	93	44	f	f	X
ejpam-5567	93	45	:	:	PUNCT
ejpam-5567	93	46	a	a	DET
ejpam-5567	93	47	→	→	SYM
ejpam-5567	93	48	p	p	X
ejpam-5567	93	49	(	(	PUNCT
ejpam-5567	93	50	u1)×	u1)×	PROPN
ejpam-5567	93	51	p	p	PROPN
ejpam-5567	93	52	(	(	PUNCT
ejpam-5567	93	53	u1	u1	PROPN
ejpam-5567	93	54	)	)	PUNCT
ejpam-5567	93	55	,	,	PUNCT
ejpam-5567	93	56	f	f	PROPN
ejpam-5567	93	57	(	(	PUNCT
ejpam-5567	93	58	e	e	NOUN
ejpam-5567	93	59	)	)	PUNCT
ejpam-5567	93	60	=	=	SYM
ejpam-5567	93	61	(	(	PUNCT
ejpam-5567	93	62	x	x	X
ejpam-5567	93	63	,	,	PUNCT
ejpam-5567	93	64	y	y	PROPN
ejpam-5567	93	65	)	)	PUNCT
ejpam-5567	93	66	for	for	ADP
ejpam-5567	93	67	each	each	DET
ejpam-5567	93	68	eϵa	eϵa	NOUN
ejpam-5567	93	69	such	such	ADJ
ejpam-5567	93	70	that	that	SCONJ
ejpam-5567	93	71	x	x	SYM
ejpam-5567	93	72	⊆	⊆	NUM
ejpam-5567	93	73	u1	u1	NOUN
ejpam-5567	93	74	,	,	PUNCT
ejpam-5567	93	75	y	y	PROPN
ejpam-5567	93	76	⊆	⊆	NUM
ejpam-5567	93	77	u2	u2	PROPN
ejpam-5567	93	78	.	.	PUNCT
ejpam-5567	94	1	definition	definition	NOUN
ejpam-5567	94	2	3	3	NUM
ejpam-5567	94	3	.	.	PUNCT
ejpam-5567	95	1	[	[	X
ejpam-5567	95	2	1	1	NUM
ejpam-5567	95	3	]	]	PUNCT
ejpam-5567	95	4	.	.	PUNCT
ejpam-5567	96	1	let	let	VERB
ejpam-5567	96	2	(	(	PUNCT
ejpam-5567	96	3	f	f	X
ejpam-5567	96	4	,	,	PUNCT
ejpam-5567	96	5	a	a	PRON
ejpam-5567	96	6	)	)	PUNCT
ejpam-5567	96	7	and	and	CCONJ
ejpam-5567	96	8	(	(	PUNCT
ejpam-5567	96	9	g	g	NOUN
ejpam-5567	96	10	,	,	PUNCT
ejpam-5567	96	11	b	b	NOUN
ejpam-5567	96	12	)	)	PUNCT
ejpam-5567	96	13	two	two	NUM
ejpam-5567	96	14	binary	binary	ADJ
ejpam-5567	96	15	soft	soft	ADJ
ejpam-5567	96	16	sets	set	NOUN
ejpam-5567	96	17	over	over	ADP
ejpam-5567	96	18	universal	universal	ADJ
ejpam-5567	96	19	sets	set	NOUN
ejpam-5567	96	20	u1	u1	NOUN
ejpam-5567	96	21	and	and	CCONJ
ejpam-5567	96	22	u2	u2	NOUN
ejpam-5567	96	23	then	then	ADV
ejpam-5567	96	24	(	(	PUNCT
ejpam-5567	96	25	f	f	X
ejpam-5567	96	26	,	,	PUNCT
ejpam-5567	96	27	a)is	a)is	PROPN
ejpam-5567	96	28	said	say	VERB
ejpam-5567	96	29	to	to	PART
ejpam-5567	96	30	be	be	AUX
ejpam-5567	96	31	a	a	DET
ejpam-5567	96	32	binary	binary	ADJ
ejpam-5567	96	33	soft	soft	ADJ
ejpam-5567	96	34	subset	subset	NOUN
ejpam-5567	96	35	of	of	ADP
ejpam-5567	96	36	(	(	PUNCT
ejpam-5567	96	37	g	g	PROPN
ejpam-5567	96	38	,	,	PUNCT
ejpam-5567	96	39	b	b	NOUN
ejpam-5567	96	40	)	)	PUNCT
ejpam-5567	96	41	if	if	SCONJ
ejpam-5567	96	42	(	(	PUNCT
ejpam-5567	96	43	i	i	NOUN
ejpam-5567	96	44	)	)	PUNCT
ejpam-5567	96	45	a	a	PRON
ejpam-5567	96	46	⊆	⊆	NUM
ejpam-5567	96	47	b	b	PROPN
ejpam-5567	96	48	(	(	PUNCT
ejpam-5567	96	49	ii	ii	PROPN
ejpam-5567	96	50	)	)	PUNCT
ejpam-5567	96	51	x1	x1	PROPN
ejpam-5567	96	52	⊆	⊆	NUM
ejpam-5567	96	53	x2	x2	NOUN
ejpam-5567	96	54	and	and	CCONJ
ejpam-5567	96	55	y1	y1	NOUN
ejpam-5567	96	56	⊆	⊆	NUM
ejpam-5567	96	57	y2	y2	INTJ
ejpam-5567	96	58	such	such	ADJ
ejpam-5567	96	59	that	that	SCONJ
ejpam-5567	96	60	f	f	PROPN
ejpam-5567	96	61	(	(	PUNCT
ejpam-5567	96	62	e	e	NOUN
ejpam-5567	96	63	)	)	PUNCT
ejpam-5567	96	64	=	=	SYM
ejpam-5567	97	1	(	(	PUNCT
ejpam-5567	97	2	x1	x1	PROPN
ejpam-5567	97	3	,	,	PUNCT
ejpam-5567	97	4	y1	y1	PROPN
ejpam-5567	97	5	)	)	PUNCT
ejpam-5567	97	6	,	,	PUNCT
ejpam-5567	97	7	g(e	g(e	PROPN
ejpam-5567	97	8	)	)	PUNCT
ejpam-5567	98	1	=	=	PUNCT
ejpam-5567	98	2	(	(	PUNCT
ejpam-5567	98	3	x2	x2	PROPN
ejpam-5567	98	4	,	,	PUNCT
ejpam-5567	98	5	y2	y2	PROPN
ejpam-5567	98	6	)	)	PUNCT
ejpam-5567	98	7	for	for	SCONJ
ejpam-5567	98	8	each	each	DET
ejpam-5567	98	9	e	e	PROPN
ejpam-5567	98	10	∈	∈	PROPN
ejpam-5567	98	11	a.	a.	NOUN
ejpam-5567	98	12	symbolically	symbolically	ADV
ejpam-5567	98	13	,	,	PUNCT
ejpam-5567	98	14	it	it	PRON
ejpam-5567	98	15	is	be	AUX
ejpam-5567	98	16	denoted	denote	VERB
ejpam-5567	98	17	as	as	ADP
ejpam-5567	98	18	(	(	PUNCT
ejpam-5567	98	19	f	f	X
ejpam-5567	98	20	,	,	PUNCT
ejpam-5567	98	21	a	a	PRON
ejpam-5567	98	22	)	)	PUNCT
ejpam-5567	98	23	⊆	⊆	NUM
ejpam-5567	98	24	(	(	PUNCT
ejpam-5567	98	25	g	g	NOUN
ejpam-5567	98	26	,	,	PUNCT
ejpam-5567	98	27	b	b	NOUN
ejpam-5567	98	28	)	)	PUNCT
ejpam-5567	98	29	,	,	PUNCT
ejpam-5567	98	30	briefly	briefly	ADV
ejpam-5567	98	31	.	.	PUNCT
ejpam-5567	99	1	definition	definition	NOUN
ejpam-5567	99	2	4	4	NUM
ejpam-5567	99	3	.	.	PUNCT
ejpam-5567	100	1	[	[	X
ejpam-5567	100	2	1	1	X
ejpam-5567	100	3	]	]	PUNCT
ejpam-5567	100	4	the	the	DET
ejpam-5567	100	5	complement	complement	NOUN
ejpam-5567	100	6	of	of	ADP
ejpam-5567	100	7	the	the	DET
ejpam-5567	100	8	binary	binary	ADJ
ejpam-5567	100	9	soft	soft	ADJ
ejpam-5567	100	10	subset	subset	NOUN
ejpam-5567	100	11	(	(	PUNCT
ejpam-5567	100	12	f	f	X
ejpam-5567	100	13	,	,	PUNCT
ejpam-5567	100	14	a	a	PRON
ejpam-5567	100	15	)	)	PUNCT
ejpam-5567	100	16	is	be	AUX
ejpam-5567	100	17	denoted	denote	VERB
ejpam-5567	100	18	by	by	ADP
ejpam-5567	100	19	(	(	PUNCT
ejpam-5567	100	20	f	f	X
ejpam-5567	100	21	,	,	PUNCT
ejpam-5567	100	22	a)c	a)c	PUNCT
ejpam-5567	100	23	and	and	CCONJ
ejpam-5567	100	24	is	be	AUX
ejpam-5567	100	25	defined	define	VERB
ejpam-5567	100	26	as	as	ADP
ejpam-5567	100	27	:	:	PUNCT
ejpam-5567	100	28	(	(	PUNCT
ejpam-5567	100	29	f	f	X
ejpam-5567	100	30	,	,	PUNCT
ejpam-5567	100	31	a)c	a)c	X
ejpam-5567	100	32	=	=	PUNCT
ejpam-5567	101	1	(	(	PUNCT
ejpam-5567	101	2	f	f	NOUN
ejpam-5567	101	3	c	c	PROPN
ejpam-5567	101	4	,	,	PUNCT
ejpam-5567	101	5	.	.	PUNCT
ejpam-5567	102	1	a	a	X
ejpam-5567	102	2	)	)	PUNCT
ejpam-5567	102	3	,	,	PUNCT
ejpam-5567	102	4	where	where	SCONJ
ejpam-5567	102	5	f	f	PROPN
ejpam-5567	102	6	c	c	X
ejpam-5567	102	7	:	:	PUNCT
ejpam-5567	102	8	.	.	PUNCT
ejpam-5567	103	1	a	a	PRON
ejpam-5567	103	2	→	→	SYM
ejpam-5567	103	3	p	p	X
ejpam-5567	103	4	(	(	PUNCT
ejpam-5567	103	5	u1)×	u1)×	PROPN
ejpam-5567	103	6	p	p	PROPN
ejpam-5567	103	7	(	(	PUNCT
ejpam-5567	103	8	u2	u2	PROPN
ejpam-5567	103	9	)	)	PUNCT
ejpam-5567	103	10	is	be	AUX
ejpam-5567	103	11	the	the	DET
ejpam-5567	103	12	mapping	mapping	NOUN
ejpam-5567	103	13	given	give	VERB
ejpam-5567	103	14	by	by	ADP
ejpam-5567	103	15	:	:	PUNCT
ejpam-5567	103	16	f	f	PROPN
ejpam-5567	103	17	c(e	c(e	PROPN
ejpam-5567	103	18	)	)	PUNCT
ejpam-5567	103	19	=	=	PUNCT
ejpam-5567	103	20	(	(	PUNCT
ejpam-5567	103	21	u1	u1	NOUN
ejpam-5567	103	22	−x	−x	NOUN
ejpam-5567	103	23	,	,	PUNCT
ejpam-5567	103	24	u2	u2	PROPN
ejpam-5567	103	25	−	−	PROPN
ejpam-5567	103	26	y	y	PROPN
ejpam-5567	103	27	)	)	PUNCT
ejpam-5567	103	28	such	such	ADJ
ejpam-5567	103	29	that	that	SCONJ
ejpam-5567	103	30	f	f	PROPN
ejpam-5567	103	31	(	(	PUNCT
ejpam-5567	103	32	e	e	NOUN
ejpam-5567	103	33	)	)	PUNCT
ejpam-5567	103	34	=	=	SYM
ejpam-5567	103	35	(	(	PUNCT
ejpam-5567	103	36	x	x	X
ejpam-5567	103	37	,	,	PUNCT
ejpam-5567	103	38	y	y	PROPN
ejpam-5567	103	39	)	)	PUNCT
ejpam-5567	103	40	.	.	PUNCT
ejpam-5567	104	1	clearly	clearly	ADV
ejpam-5567	104	2	,	,	PUNCT
ejpam-5567	104	3	(	(	PUNCT
ejpam-5567	104	4	(	(	PUNCT
ejpam-5567	104	5	f	f	X
ejpam-5567	104	6	,	,	PUNCT
ejpam-5567	104	7	a)c)c	a)c)c	NOUN
ejpam-5567	104	8	=	=	PUNCT
ejpam-5567	104	9	(	(	PUNCT
ejpam-5567	104	10	f	f	X
ejpam-5567	104	11	,	,	PUNCT
ejpam-5567	104	12	a	a	PRON
ejpam-5567	104	13	)	)	PUNCT
ejpam-5567	104	14	.	.	PUNCT
ejpam-5567	105	1	definition	definition	NOUN
ejpam-5567	105	2	5	5	NUM
ejpam-5567	105	3	.	.	PUNCT
ejpam-5567	106	1	[	[	X
ejpam-5567	106	2	1	1	X
ejpam-5567	106	3	]	]	PUNCT
ejpam-5567	106	4	a	a	DET
ejpam-5567	106	5	binary	binary	ADJ
ejpam-5567	106	6	soft	soft	ADJ
ejpam-5567	106	7	set	set	NOUN
ejpam-5567	106	8	(	(	PUNCT
ejpam-5567	106	9	f	f	X
ejpam-5567	106	10	,	,	PUNCT
ejpam-5567	106	11	a	a	PRON
ejpam-5567	106	12	)	)	PUNCT
ejpam-5567	106	13	over	over	ADP
ejpam-5567	106	14	u1	u1	NOUN
ejpam-5567	106	15	,	,	PUNCT
ejpam-5567	106	16	u2	u2	PROPN
ejpam-5567	106	17	is	be	AUX
ejpam-5567	106	18	called	call	VERB
ejpam-5567	106	19	a	a	DET
ejpam-5567	106	20	binary	binary	ADJ
ejpam-5567	106	21	null	null	ADJ
ejpam-5567	106	22	soft	soft	ADJ
ejpam-5567	106	23	set	set	NOUN
ejpam-5567	106	24	,	,	PUNCT
ejpam-5567	106	25	denoted	denote	VERB
ejpam-5567	106	26	by	by	ADP
ejpam-5567	106	27	∅̃	∅̃	NOUN
ejpam-5567	106	28	,	,	PUNCT
ejpam-5567	106	29	if	if	SCONJ
ejpam-5567	106	30	:	:	PUNCT
ejpam-5567	106	31	f	f	X
ejpam-5567	106	32	(	(	PUNCT
ejpam-5567	106	33	e	e	NOUN
ejpam-5567	106	34	)	)	PUNCT
ejpam-5567	106	35	=	=	SYM
ejpam-5567	106	36	(	(	PUNCT
ejpam-5567	106	37	∅	∅	NOUN
ejpam-5567	106	38	,	,	PUNCT
ejpam-5567	106	39	∅	∅	NOUN
ejpam-5567	106	40	)	)	PUNCT
ejpam-5567	106	41	for	for	ADP
ejpam-5567	106	42	each	each	DET
ejpam-5567	106	43	e	e	PROPN
ejpam-5567	106	44	∈	∈	PROPN
ejpam-5567	106	45	a.	a.	NOUN
ejpam-5567	106	46	definition	definition	NOUN
ejpam-5567	106	47	6	6	NUM
ejpam-5567	106	48	.	.	PUNCT
ejpam-5567	107	1	[	[	X
ejpam-5567	107	2	1	1	X
ejpam-5567	107	3	]	]	PUNCT
ejpam-5567	107	4	a	a	DET
ejpam-5567	107	5	binary	binary	ADJ
ejpam-5567	107	6	soft	soft	ADJ
ejpam-5567	107	7	set	set	NOUN
ejpam-5567	107	8	(	(	PUNCT
ejpam-5567	107	9	f	f	X
ejpam-5567	107	10	,	,	PUNCT
ejpam-5567	107	11	a	a	PRON
ejpam-5567	107	12	)	)	PUNCT
ejpam-5567	107	13	over	over	ADP
ejpam-5567	107	14	u1	u1	NOUN
ejpam-5567	107	15	,	,	PUNCT
ejpam-5567	107	16	u2	u2	PROPN
ejpam-5567	107	17	is	be	AUX
ejpam-5567	107	18	called	call	VERB
ejpam-5567	107	19	a	a	DET
ejpam-5567	107	20	binary	binary	ADJ
ejpam-5567	107	21	absolute	absolute	ADJ
ejpam-5567	107	22	soft	soft	ADJ
ejpam-5567	107	23	set	set	NOUN
ejpam-5567	107	24	,	,	PUNCT
ejpam-5567	107	25	denoted	denote	VERB
ejpam-5567	107	26	by	by	ADP
ejpam-5567	107	27	ã	ã	PROPN
ejpam-5567	107	28	,	,	PUNCT
ejpam-5567	107	29	if	if	SCONJ
ejpam-5567	107	30	:	:	PUNCT
ejpam-5567	107	31	f	f	X
ejpam-5567	107	32	(	(	PUNCT
ejpam-5567	107	33	e	e	NOUN
ejpam-5567	107	34	)	)	PUNCT
ejpam-5567	107	35	=	=	SYM
ejpam-5567	107	36	(	(	PUNCT
ejpam-5567	107	37	u1	u1	PROPN
ejpam-5567	107	38	,	,	PUNCT
ejpam-5567	107	39	u2	u2	PROPN
ejpam-5567	107	40	)	)	PUNCT
ejpam-5567	107	41	for	for	ADP
ejpam-5567	107	42	each	each	DET
ejpam-5567	107	43	e	e	PROPN
ejpam-5567	107	44	∈	∈	PROPN
ejpam-5567	107	45	a.	a.	NOUN
ejpam-5567	107	46	definition	definition	NOUN
ejpam-5567	107	47	7	7	NUM
ejpam-5567	107	48	.	.	PUNCT
ejpam-5567	108	1	[	[	X
ejpam-5567	108	2	1	1	X
ejpam-5567	108	3	]	]	PUNCT
ejpam-5567	108	4	the	the	DET
ejpam-5567	108	5	union	union	NOUN
ejpam-5567	108	6	of	of	ADP
ejpam-5567	108	7	two	two	NUM
ejpam-5567	108	8	binary	binary	ADJ
ejpam-5567	108	9	soft	soft	ADJ
ejpam-5567	108	10	subsets	subset	NOUN
ejpam-5567	108	11	(	(	PUNCT
ejpam-5567	108	12	f	f	X
ejpam-5567	108	13	,	,	PUNCT
ejpam-5567	108	14	a	a	PRON
ejpam-5567	108	15	)	)	PUNCT
ejpam-5567	108	16	and	and	CCONJ
ejpam-5567	108	17	(	(	PUNCT
ejpam-5567	108	18	g	g	NOUN
ejpam-5567	108	19	,	,	PUNCT
ejpam-5567	108	20	b	b	NOUN
ejpam-5567	108	21	)	)	PUNCT
ejpam-5567	108	22	over	over	ADP
ejpam-5567	108	23	the	the	DET
ejpam-5567	108	24	common	common	ADJ
ejpam-5567	108	25	u1	u1	NOUN
ejpam-5567	108	26	,	,	PUNCT
ejpam-5567	108	27	u2	u2	PROPN
ejpam-5567	108	28	is	be	AUX
ejpam-5567	108	29	the	the	DET
ejpam-5567	108	30	binary	binary	ADJ
ejpam-5567	108	31	soft	soft	ADJ
ejpam-5567	108	32	set	set	NOUN
ejpam-5567	108	33	(	(	PUNCT
ejpam-5567	108	34	h	h	NOUN
ejpam-5567	108	35	,	,	PUNCT
ejpam-5567	108	36	c	c	NOUN
ejpam-5567	108	37	)	)	PUNCT
ejpam-5567	108	38	,	,	PUNCT
ejpam-5567	108	39	where	where	SCONJ
ejpam-5567	108	40	c	c	NOUN
ejpam-5567	108	41	=	=	PUNCT
ejpam-5567	108	42	a	a	PRON
ejpam-5567	108	43	∪b	∪b	NOUN
ejpam-5567	108	44	,	,	PUNCT
ejpam-5567	108	45	and	and	CCONJ
ejpam-5567	108	46	for	for	ADP
ejpam-5567	108	47	each	each	DET
ejpam-5567	108	48	e	e	PROPN
ejpam-5567	108	49	∈	∈	PROPN
ejpam-5567	108	50	c	c	X
ejpam-5567	108	51	,	,	PUNCT
ejpam-5567	108	52	h(e	h(e	PROPN
ejpam-5567	108	53	)	)	PUNCT
ejpam-5567	109	1	=	=	SYM
ejpam-5567	109	2			PROPN
ejpam-5567	109	3	(	(	PUNCT
ejpam-5567	109	4	x1	x1	PROPN
ejpam-5567	109	5	,	,	PUNCT
ejpam-5567	109	6	y1	y1	PROPN
ejpam-5567	109	7	)	)	PUNCT
ejpam-5567	109	8	,	,	PUNCT
ejpam-5567	109	9	e	e	PROPN
ejpam-5567	109	10	∈	∈	PROPN
ejpam-5567	109	11	a−b	a−b	PROPN
ejpam-5567	109	12	,	,	PUNCT
ejpam-5567	109	13	(	(	PUNCT
ejpam-5567	109	14	x2	x2	PROPN
ejpam-5567	109	15	,	,	PUNCT
ejpam-5567	109	16	y2	y2	PROPN
ejpam-5567	109	17	)	)	PUNCT
ejpam-5567	109	18	,	,	PUNCT
ejpam-5567	109	19	e	e	PROPN
ejpam-5567	109	20	∈	∈	PROPN
ejpam-5567	109	21	b	b	X
ejpam-5567	109	22	−a	−a	NOUN
ejpam-5567	109	23	,	,	PUNCT
ejpam-5567	109	24	(	(	PUNCT
ejpam-5567	109	25	x1	x1	PROPN
ejpam-5567	109	26	∪x2	∪x2	ADJ
ejpam-5567	109	27	,	,	PUNCT
ejpam-5567	109	28	y1	y1	NOUN
ejpam-5567	109	29	∪	∪	NOUN
ejpam-5567	109	30	y2	y2	PROPN
ejpam-5567	109	31	)	)	PUNCT
ejpam-5567	109	32	,	,	PUNCT
ejpam-5567	109	33	e	e	X
ejpam-5567	109	34	∈	∈	PROPN
ejpam-5567	109	35	a	a	DET
ejpam-5567	109	36	∩b	∩b	NOUN
ejpam-5567	109	37	,	,	PUNCT
ejpam-5567	109	38	such	such	ADJ
ejpam-5567	109	39	that	that	SCONJ
ejpam-5567	109	40	f	f	PROPN
ejpam-5567	109	41	(	(	PUNCT
ejpam-5567	109	42	e	e	NOUN
ejpam-5567	109	43	)	)	PUNCT
ejpam-5567	109	44	=	=	SYM
ejpam-5567	109	45	(	(	PUNCT
ejpam-5567	109	46	x1	x1	PROPN
ejpam-5567	109	47	,	,	PUNCT
ejpam-5567	109	48	y1	y1	PROPN
ejpam-5567	109	49	)	)	PUNCT
ejpam-5567	109	50	for	for	ADP
ejpam-5567	109	51	each	each	DET
ejpam-5567	109	52	e	e	PROPN
ejpam-5567	109	53	∈	∈	PROPN
ejpam-5567	109	54	a	a	PRON
ejpam-5567	109	55	and	and	CCONJ
ejpam-5567	109	56	g(e	g(e	PROPN
ejpam-5567	109	57	)	)	PUNCT
ejpam-5567	109	58	=	=	PRON
ejpam-5567	109	59	(	(	PUNCT
ejpam-5567	109	60	x2	x2	PROPN
ejpam-5567	109	61	,	,	PUNCT
ejpam-5567	109	62	y2	y2	PROPN
ejpam-5567	109	63	)	)	PUNCT
ejpam-5567	109	64	for	for	ADP
ejpam-5567	109	65	each	each	DET
ejpam-5567	109	66	e	e	PROPN
ejpam-5567	109	67	∈	∈	PROPN
ejpam-5567	109	68	b.	b.	NOUN
ejpam-5567	109	69	we	we	PRON
ejpam-5567	109	70	denote	denote	VERB
ejpam-5567	109	71	the	the	DET
ejpam-5567	109	72	union	union	NOUN
ejpam-5567	109	73	of	of	ADP
ejpam-5567	109	74	two	two	NUM
ejpam-5567	109	75	binary	binary	ADJ
ejpam-5567	109	76	soft	soft	ADJ
ejpam-5567	109	77	subsets	subset	NOUN
ejpam-5567	109	78	(	(	PUNCT
ejpam-5567	109	79	f	f	X
ejpam-5567	109	80	,	,	PUNCT
ejpam-5567	109	81	a	a	PRON
ejpam-5567	109	82	)	)	PUNCT
ejpam-5567	109	83	and	and	CCONJ
ejpam-5567	109	84	(	(	PUNCT
ejpam-5567	109	85	g	g	NOUN
ejpam-5567	109	86	,	,	PUNCT
ejpam-5567	109	87	b	b	NOUN
ejpam-5567	109	88	)	)	PUNCT
ejpam-5567	109	89	as	as	ADP
ejpam-5567	109	90	:	:	PUNCT
ejpam-5567	109	91	(	(	PUNCT
ejpam-5567	109	92	f	f	X
ejpam-5567	109	93	,	,	PUNCT
ejpam-5567	109	94	a)∪̃(g	a)∪̃(g	PROPN
ejpam-5567	109	95	,	,	PUNCT
ejpam-5567	109	96	b	b	NOUN
ejpam-5567	109	97	)	)	PUNCT
ejpam-5567	109	98	=	=	SYM
ejpam-5567	109	99	(	(	PUNCT
ejpam-5567	109	100	h	h	NOUN
ejpam-5567	109	101	,	,	PUNCT
ejpam-5567	109	102	c	c	NOUN
ejpam-5567	109	103	)	)	PUNCT
ejpam-5567	109	104	.	.	PUNCT
ejpam-5567	110	1	m.	m.	NOUN
ejpam-5567	110	2	nawaz	nawaz	PROPN
ejpam-5567	110	3	et	et	PROPN
ejpam-5567	110	4	al	al	PROPN
ejpam-5567	110	5	.	.	PUNCT
ejpam-5567	110	6	/	/	SYM
ejpam-5567	110	7	eur	eur	PROPN
ejpam-5567	110	8	.	.	PUNCT
ejpam-5567	111	1	j.	j.	PROPN
ejpam-5567	111	2	pure	pure	PROPN
ejpam-5567	111	3	appl	appl	PROPN
ejpam-5567	111	4	.	.	PROPN
ejpam-5567	111	5	math	math	PROPN
ejpam-5567	111	6	,	,	PUNCT
ejpam-5567	111	7	18	18	NUM
ejpam-5567	111	8	(	(	PUNCT
ejpam-5567	111	9	1	1	NUM
ejpam-5567	111	10	)	)	PUNCT
ejpam-5567	111	11	(	(	PUNCT
ejpam-5567	111	12	2025	2025	NUM
ejpam-5567	111	13	)	)	PUNCT
ejpam-5567	111	14	,	,	PUNCT
ejpam-5567	111	15	5567	5567	NUM
ejpam-5567	111	16	5	5	NUM
ejpam-5567	111	17	of	of	ADP
ejpam-5567	111	18	45	45	NUM
ejpam-5567	111	19	definition	definition	NOUN
ejpam-5567	111	20	8	8	NUM
ejpam-5567	111	21	.	.	PUNCT
ejpam-5567	112	1	[	[	X
ejpam-5567	112	2	1	1	X
ejpam-5567	112	3	]	]	PUNCT
ejpam-5567	112	4	the	the	DET
ejpam-5567	112	5	intersection	intersection	NOUN
ejpam-5567	112	6	of	of	ADP
ejpam-5567	112	7	two	two	NUM
ejpam-5567	112	8	binary	binary	ADJ
ejpam-5567	112	9	soft	soft	ADJ
ejpam-5567	112	10	subsets	subset	NOUN
ejpam-5567	112	11	(	(	PUNCT
ejpam-5567	112	12	f	f	X
ejpam-5567	112	13	,	,	PUNCT
ejpam-5567	112	14	a	a	PRON
ejpam-5567	112	15	)	)	PUNCT
ejpam-5567	112	16	and	and	CCONJ
ejpam-5567	112	17	(	(	PUNCT
ejpam-5567	112	18	g	g	NOUN
ejpam-5567	112	19	,	,	PUNCT
ejpam-5567	112	20	b	b	NOUN
ejpam-5567	112	21	)	)	PUNCT
ejpam-5567	112	22	over	over	ADP
ejpam-5567	112	23	the	the	DET
ejpam-5567	112	24	common	common	ADJ
ejpam-5567	112	25	universes	universe	NOUN
ejpam-5567	112	26	u1	u1	NOUN
ejpam-5567	112	27	,	,	PUNCT
ejpam-5567	112	28	u2	u2	PROPN
ejpam-5567	112	29	is	be	AUX
ejpam-5567	112	30	the	the	DET
ejpam-5567	112	31	binary	binary	ADJ
ejpam-5567	112	32	soft	soft	ADJ
ejpam-5567	112	33	set	set	NOUN
ejpam-5567	112	34	(	(	PUNCT
ejpam-5567	112	35	h	h	NOUN
ejpam-5567	112	36	,	,	PUNCT
ejpam-5567	112	37	c	c	NOUN
ejpam-5567	112	38	)	)	PUNCT
ejpam-5567	112	39	,	,	PUNCT
ejpam-5567	112	40	where	where	SCONJ
ejpam-5567	112	41	c	c	NOUN
ejpam-5567	112	42	=	=	PUNCT
ejpam-5567	112	43	a	a	DET
ejpam-5567	112	44	∩b	∩b	NOUN
ejpam-5567	112	45	,	,	PUNCT
ejpam-5567	112	46	and	and	CCONJ
ejpam-5567	112	47	h(e	h(e	NOUN
ejpam-5567	112	48	)	)	PUNCT
ejpam-5567	113	1	=	=	PUNCT
ejpam-5567	113	2	(	(	PUNCT
ejpam-5567	113	3	x1	x1	PROPN
ejpam-5567	113	4	∩x2	∩x2	PROPN
ejpam-5567	113	5	,	,	PUNCT
ejpam-5567	113	6	y1	y1	NOUN
ejpam-5567	113	7	∩	∩	ADJ
ejpam-5567	113	8	y2	y2	NOUN
ejpam-5567	113	9	)	)	PUNCT
ejpam-5567	113	10	for	for	ADP
ejpam-5567	113	11	each	each	DET
ejpam-5567	113	12	e	e	PROPN
ejpam-5567	113	13	∈	∈	PROPN
ejpam-5567	113	14	c	c	NOUN
ejpam-5567	113	15	such	such	ADJ
ejpam-5567	113	16	that	that	SCONJ
ejpam-5567	113	17	f	f	PROPN
ejpam-5567	113	18	(	(	PUNCT
ejpam-5567	113	19	e	e	NOUN
ejpam-5567	113	20	)	)	PUNCT
ejpam-5567	113	21	=	=	SYM
ejpam-5567	113	22	(	(	PUNCT
ejpam-5567	113	23	x1	x1	PROPN
ejpam-5567	113	24	,	,	PUNCT
ejpam-5567	113	25	y1	y1	PROPN
ejpam-5567	113	26	)	)	PUNCT
ejpam-5567	113	27	for	for	ADP
ejpam-5567	113	28	each	each	DET
ejpam-5567	113	29	e	e	PROPN
ejpam-5567	113	30	∈	∈	PROPN
ejpam-5567	113	31	a	a	PRON
ejpam-5567	113	32	and	and	CCONJ
ejpam-5567	113	33	g(e	g(e	PROPN
ejpam-5567	113	34	)	)	PUNCT
ejpam-5567	114	1	=	=	PRON
ejpam-5567	114	2	(	(	PUNCT
ejpam-5567	114	3	x2	x2	PROPN
ejpam-5567	114	4	,	,	PUNCT
ejpam-5567	114	5	y2	y2	PROPN
ejpam-5567	114	6	)	)	PUNCT
ejpam-5567	114	7	for	for	ADP
ejpam-5567	114	8	each	each	DET
ejpam-5567	114	9	e	e	PROPN
ejpam-5567	114	10	∈	∈	PROPN
ejpam-5567	114	11	b.	b.	NOUN
ejpam-5567	114	12	we	we	PRON
ejpam-5567	114	13	denote	denote	VERB
ejpam-5567	114	14	the	the	DET
ejpam-5567	114	15	intersection	intersection	NOUN
ejpam-5567	114	16	of	of	ADP
ejpam-5567	114	17	two	two	NUM
ejpam-5567	114	18	binary	binary	ADJ
ejpam-5567	114	19	soft	soft	ADJ
ejpam-5567	114	20	subsets	subset	NOUN
ejpam-5567	114	21	(	(	PUNCT
ejpam-5567	114	22	f	f	X
ejpam-5567	114	23	,	,	PUNCT
ejpam-5567	114	24	a	a	PRON
ejpam-5567	114	25	)	)	PUNCT
ejpam-5567	114	26	and	and	CCONJ
ejpam-5567	114	27	(	(	PUNCT
ejpam-5567	114	28	g	g	NOUN
ejpam-5567	114	29	,	,	PUNCT
ejpam-5567	114	30	b	b	NOUN
ejpam-5567	114	31	)	)	PUNCT
ejpam-5567	114	32	as	as	ADP
ejpam-5567	114	33	:	:	PUNCT
ejpam-5567	114	34	(	(	PUNCT
ejpam-5567	114	35	f	f	X
ejpam-5567	114	36	,	,	PUNCT
ejpam-5567	114	37	a	a	PRON
ejpam-5567	114	38	)	)	PUNCT
ejpam-5567	114	39	∩	∩	NOUN
ejpam-5567	114	40	(	(	PUNCT
ejpam-5567	114	41	g	g	PROPN
ejpam-5567	114	42	,	,	PUNCT
ejpam-5567	114	43	b	b	NOUN
ejpam-5567	114	44	)	)	PUNCT
ejpam-5567	114	45	=	=	SYM
ejpam-5567	114	46	(	(	PUNCT
ejpam-5567	114	47	h	h	NOUN
ejpam-5567	114	48	,	,	PUNCT
ejpam-5567	114	49	c	c	NOUN
ejpam-5567	114	50	)	)	PUNCT
ejpam-5567	114	51	.	.	PUNCT
ejpam-5567	115	1	definition	definition	NOUN
ejpam-5567	115	2	9	9	NUM
ejpam-5567	115	3	.	.	PUNCT
ejpam-5567	116	1	[	[	X
ejpam-5567	116	2	1	1	X
ejpam-5567	116	3	]	]	X
ejpam-5567	116	4	the	the	DET
ejpam-5567	116	5	difference	difference	NOUN
ejpam-5567	116	6	of	of	ADP
ejpam-5567	116	7	two	two	NUM
ejpam-5567	116	8	binary	binary	ADJ
ejpam-5567	116	9	soft	soft	ADJ
ejpam-5567	116	10	sets	set	NOUN
ejpam-5567	116	11	(	(	PUNCT
ejpam-5567	116	12	f	f	X
ejpam-5567	116	13	,	,	PUNCT
ejpam-5567	116	14	a	a	PRON
ejpam-5567	116	15	)	)	PUNCT
ejpam-5567	116	16	and	and	CCONJ
ejpam-5567	116	17	(	(	PUNCT
ejpam-5567	116	18	g	g	NOUN
ejpam-5567	116	19	,	,	PUNCT
ejpam-5567	116	20	b	b	NOUN
ejpam-5567	116	21	)	)	PUNCT
ejpam-5567	116	22	over	over	ADP
ejpam-5567	116	23	the	the	DET
ejpam-5567	116	24	common	common	ADJ
ejpam-5567	116	25	u1	u1	NOUN
ejpam-5567	116	26	,	,	PUNCT
ejpam-5567	116	27	u2	u2	PROPN
ejpam-5567	116	28	is	be	AUX
ejpam-5567	116	29	the	the	DET
ejpam-5567	116	30	binary	binary	ADJ
ejpam-5567	116	31	soft	soft	ADJ
ejpam-5567	116	32	set	set	NOUN
ejpam-5567	116	33	(	(	PUNCT
ejpam-5567	116	34	h	h	NOUN
ejpam-5567	116	35	,	,	PUNCT
ejpam-5567	116	36	a	a	PRON
ejpam-5567	116	37	)	)	PUNCT
ejpam-5567	116	38	,	,	PUNCT
ejpam-5567	116	39	where	where	SCONJ
ejpam-5567	116	40	h(e	h(e	NOUN
ejpam-5567	116	41	)	)	PUNCT
ejpam-5567	116	42	=	=	PUNCT
ejpam-5567	117	1	(	(	PUNCT
ejpam-5567	117	2	x1	x1	PROPN
ejpam-5567	117	3	−x2	−x2	PROPN
ejpam-5567	117	4	,	,	PUNCT
ejpam-5567	117	5	y1	y1	NOUN
ejpam-5567	117	6	−	−	PROPN
ejpam-5567	117	7	y2	y2	PROPN
ejpam-5567	117	8	)	)	PUNCT
ejpam-5567	117	9	for	for	ADP
ejpam-5567	117	10	each	each	DET
ejpam-5567	117	11	e	e	PROPN
ejpam-5567	117	12	∈	∈	PROPN
ejpam-5567	117	13	a	a	DET
ejpam-5567	117	14	such	such	ADJ
ejpam-5567	117	15	that	that	PRON
ejpam-5567	117	16	(	(	PUNCT
ejpam-5567	117	17	f	f	X
ejpam-5567	117	18	,	,	PUNCT
ejpam-5567	117	19	a	a	PRON
ejpam-5567	117	20	)	)	PUNCT
ejpam-5567	117	21	=	=	SYM
ejpam-5567	117	22	(	(	PUNCT
ejpam-5567	117	23	x1	x1	PROPN
ejpam-5567	117	24	,	,	PUNCT
ejpam-5567	117	25	y1	y1	PROPN
ejpam-5567	117	26	)	)	PUNCT
ejpam-5567	117	27	and	and	CCONJ
ejpam-5567	117	28	(	(	PUNCT
ejpam-5567	117	29	g	g	NOUN
ejpam-5567	117	30	,	,	PUNCT
ejpam-5567	117	31	b	b	NOUN
ejpam-5567	117	32	)	)	PUNCT
ejpam-5567	117	33	=	=	SYM
ejpam-5567	117	34	(	(	PUNCT
ejpam-5567	117	35	x2	x2	PROPN
ejpam-5567	117	36	,	,	PUNCT
ejpam-5567	117	37	y2	y2	PROPN
ejpam-5567	117	38	)	)	PUNCT
ejpam-5567	117	39	.	.	PUNCT
ejpam-5567	118	1	definition	definition	NOUN
ejpam-5567	118	2	10	10	NUM
ejpam-5567	118	3	.	.	PUNCT
ejpam-5567	119	1	[	[	X
ejpam-5567	119	2	1	1	X
ejpam-5567	119	3	]	]	X
ejpam-5567	119	4	if	if	SCONJ
ejpam-5567	119	5	(	(	PUNCT
ejpam-5567	119	6	f	f	X
ejpam-5567	119	7	,	,	PUNCT
ejpam-5567	119	8	a	a	PRON
ejpam-5567	119	9	)	)	PUNCT
ejpam-5567	119	10	and	and	CCONJ
ejpam-5567	119	11	(	(	PUNCT
ejpam-5567	119	12	g	g	NOUN
ejpam-5567	119	13	,	,	PUNCT
ejpam-5567	119	14	b	b	NOUN
ejpam-5567	119	15	)	)	PUNCT
ejpam-5567	119	16	are	be	AUX
ejpam-5567	119	17	two	two	NUM
ejpam-5567	119	18	binary	binary	ADJ
ejpam-5567	119	19	soft	soft	ADJ
ejpam-5567	119	20	subsets	subset	NOUN
ejpam-5567	119	21	,	,	PUNCT
ejpam-5567	119	22	then	then	ADV
ejpam-5567	119	23	“	"	PUNCT
ejpam-5567	119	24	(	(	PUNCT
ejpam-5567	119	25	f	f	X
ejpam-5567	119	26	,	,	PUNCT
ejpam-5567	119	27	a	a	PRON
ejpam-5567	119	28	)	)	PUNCT
ejpam-5567	119	29	and	and	CCONJ
ejpam-5567	119	30	(	(	PUNCT
ejpam-5567	119	31	g	g	NOUN
ejpam-5567	119	32	,	,	PUNCT
ejpam-5567	119	33	b	b	NOUN
ejpam-5567	119	34	)	)	PUNCT
ejpam-5567	119	35	”	"	PUNCT
ejpam-5567	119	36	denoted	denote	VERB
ejpam-5567	119	37	by	by	ADP
ejpam-5567	119	38	(	(	PUNCT
ejpam-5567	119	39	f	f	X
ejpam-5567	119	40	,	,	PUNCT
ejpam-5567	119	41	a)˜̃∧(g	a)˜̃∧(g	ADJ
ejpam-5567	119	42	,	,	PUNCT
ejpam-5567	119	43	b	b	NOUN
ejpam-5567	119	44	)	)	PUNCT
ejpam-5567	119	45	is	be	AUX
ejpam-5567	119	46	defined	define	VERB
ejpam-5567	119	47	by	by	ADP
ejpam-5567	119	48	(	(	PUNCT
ejpam-5567	119	49	f	f	X
ejpam-5567	119	50	,	,	PUNCT
ejpam-5567	119	51	a)˜̃∧(g	a)˜̃∧(g	ADJ
ejpam-5567	119	52	,	,	PUNCT
ejpam-5567	119	53	b	b	NOUN
ejpam-5567	119	54	)	)	PUNCT
ejpam-5567	119	55	=	=	SYM
ejpam-5567	119	56	(	(	PUNCT
ejpam-5567	119	57	h	h	NOUN
ejpam-5567	119	58	,	,	PUNCT
ejpam-5567	119	59	a×b	a×b	PROPN
ejpam-5567	119	60	)	)	PUNCT
ejpam-5567	119	61	,	,	PUNCT
ejpam-5567	120	1	where	where	SCONJ
ejpam-5567	120	2	h(e	h(e	PROPN
ejpam-5567	120	3	,	,	PUNCT
ejpam-5567	120	4	f	f	X
ejpam-5567	120	5	)	)	PUNCT
ejpam-5567	121	1	=	=	SYM
ejpam-5567	121	2	(	(	PUNCT
ejpam-5567	121	3	x1	x1	PROPN
ejpam-5567	121	4	∩x2	∩x2	PROPN
ejpam-5567	121	5	,	,	PUNCT
ejpam-5567	121	6	y1	y1	NOUN
ejpam-5567	121	7	∩	∩	ADJ
ejpam-5567	121	8	y2	y2	NOUN
ejpam-5567	121	9	)	)	PUNCT
ejpam-5567	121	10	for	for	ADP
ejpam-5567	121	11	each	each	DET
ejpam-5567	121	12	(	(	PUNCT
ejpam-5567	121	13	e	e	NOUN
ejpam-5567	121	14	,	,	PUNCT
ejpam-5567	121	15	f	f	X
ejpam-5567	121	16	)	)	PUNCT
ejpam-5567	121	17	∈	∈	PROPN
ejpam-5567	121	18	a×b	a×b	PROPN
ejpam-5567	121	19	such	such	ADJ
ejpam-5567	121	20	that	that	SCONJ
ejpam-5567	121	21	f	f	PROPN
ejpam-5567	121	22	(	(	PUNCT
ejpam-5567	121	23	e	e	NOUN
ejpam-5567	121	24	)	)	PUNCT
ejpam-5567	121	25	=	=	SYM
ejpam-5567	121	26	(	(	PUNCT
ejpam-5567	121	27	x1	x1	PROPN
ejpam-5567	121	28	,	,	PUNCT
ejpam-5567	121	29	y1	y1	PROPN
ejpam-5567	121	30	)	)	PUNCT
ejpam-5567	121	31	and	and	CCONJ
ejpam-5567	121	32	g(e	g(e	PROPN
ejpam-5567	121	33	)	)	PUNCT
ejpam-5567	122	1	=	=	PRON
ejpam-5567	122	2	(	(	PUNCT
ejpam-5567	122	3	x2	x2	PROPN
ejpam-5567	122	4	,	,	PUNCT
ejpam-5567	122	5	y2	y2	PROPN
ejpam-5567	122	6	)	)	PUNCT
ejpam-5567	122	7	.	.	PUNCT
ejpam-5567	123	1	definition	definition	NOUN
ejpam-5567	123	2	11	11	NUM
ejpam-5567	123	3	.	.	PUNCT
ejpam-5567	124	1	[	[	X
ejpam-5567	124	2	1	1	X
ejpam-5567	124	3	]	]	X
ejpam-5567	124	4	if	if	SCONJ
ejpam-5567	124	5	(	(	PUNCT
ejpam-5567	124	6	f	f	X
ejpam-5567	124	7	,	,	PUNCT
ejpam-5567	124	8	a	a	PRON
ejpam-5567	124	9	)	)	PUNCT
ejpam-5567	124	10	and	and	CCONJ
ejpam-5567	124	11	(	(	PUNCT
ejpam-5567	124	12	g	g	NOUN
ejpam-5567	124	13	,	,	PUNCT
ejpam-5567	124	14	b	b	NOUN
ejpam-5567	124	15	)	)	PUNCT
ejpam-5567	124	16	are	be	AUX
ejpam-5567	124	17	two	two	NUM
ejpam-5567	124	18	binary	binary	ADJ
ejpam-5567	124	19	soft	soft	ADJ
ejpam-5567	124	20	subsets	subset	NOUN
ejpam-5567	124	21	,	,	PUNCT
ejpam-5567	124	22	then	then	ADV
ejpam-5567	124	23	“	"	PUNCT
ejpam-5567	124	24	(	(	PUNCT
ejpam-5567	124	25	f	f	X
ejpam-5567	124	26	,	,	PUNCT
ejpam-5567	124	27	a	a	PRON
ejpam-5567	124	28	)	)	PUNCT
ejpam-5567	124	29	or(g	or(g	NUM
ejpam-5567	124	30	,	,	PUNCT
ejpam-5567	124	31	b	b	NOUN
ejpam-5567	124	32	)	)	PUNCT
ejpam-5567	124	33	”	"	PUNCT
ejpam-5567	124	34	denoted	denote	VERB
ejpam-5567	124	35	by	by	ADP
ejpam-5567	124	36	(	(	PUNCT
ejpam-5567	124	37	f	f	NOUN
ejpam-5567	124	38	,	,	PUNCT
ejpam-5567	124	39	a)˜̃∨(g	a)˜̃∨(g	NOUN
ejpam-5567	124	40	,	,	PUNCT
ejpam-5567	124	41	b	b	NOUN
ejpam-5567	124	42	)	)	PUNCT
ejpam-5567	124	43	is	be	AUX
ejpam-5567	124	44	defined	define	VERB
ejpam-5567	124	45	by	by	ADP
ejpam-5567	124	46	(	(	PUNCT
ejpam-5567	124	47	f	f	PROPN
ejpam-5567	124	48	,	,	PUNCT
ejpam-5567	124	49	a)˜̃∨(g	a)˜̃∨(g	NOUN
ejpam-5567	124	50	,	,	PUNCT
ejpam-5567	124	51	b	b	NOUN
ejpam-5567	124	52	)	)	PUNCT
ejpam-5567	124	53	=	=	SYM
ejpam-5567	124	54	(	(	PUNCT
ejpam-5567	124	55	o	o	NOUN
ejpam-5567	124	56	,	,	PUNCT
ejpam-5567	124	57	a×b	a×b	PROPN
ejpam-5567	124	58	)	)	PUNCT
ejpam-5567	125	1	where	where	SCONJ
ejpam-5567	125	2	o(e	o(e	PROPN
ejpam-5567	125	3	,	,	PUNCT
ejpam-5567	125	4	f	f	X
ejpam-5567	125	5	)	)	PUNCT
ejpam-5567	125	6	=	=	SYM
ejpam-5567	125	7	(	(	PUNCT
ejpam-5567	125	8	x1	x1	PROPN
ejpam-5567	125	9	∪x2	∪x2	ADJ
ejpam-5567	125	10	,	,	PUNCT
ejpam-5567	125	11	y1	y1	NOUN
ejpam-5567	125	12	∪	∪	NOUN
ejpam-5567	125	13	y2	y2	NOUN
ejpam-5567	125	14	)	)	PUNCT
ejpam-5567	125	15	for	for	ADP
ejpam-5567	125	16	each	each	DET
ejpam-5567	125	17	(	(	PUNCT
ejpam-5567	125	18	e	e	NOUN
ejpam-5567	125	19	,	,	PUNCT
ejpam-5567	125	20	f	f	X
ejpam-5567	125	21	)	)	PUNCT
ejpam-5567	125	22	∈	∈	PROPN
ejpam-5567	125	23	a×b	a×b	PROPN
ejpam-5567	125	24	such	such	ADJ
ejpam-5567	125	25	that	that	SCONJ
ejpam-5567	125	26	f	f	PROPN
ejpam-5567	125	27	(	(	PUNCT
ejpam-5567	125	28	e	e	NOUN
ejpam-5567	125	29	)	)	PUNCT
ejpam-5567	125	30	=	=	SYM
ejpam-5567	125	31	(	(	PUNCT
ejpam-5567	125	32	x1	x1	PROPN
ejpam-5567	125	33	,	,	PUNCT
ejpam-5567	125	34	y1	y1	PROPN
ejpam-5567	125	35	)	)	PUNCT
ejpam-5567	125	36	and	and	CCONJ
ejpam-5567	125	37	g(e	g(e	PROPN
ejpam-5567	125	38	)	)	PUNCT
ejpam-5567	125	39	=	=	PRON
ejpam-5567	125	40	(	(	PUNCT
ejpam-5567	125	41	x2	x2	PROPN
ejpam-5567	125	42	,	,	PUNCT
ejpam-5567	125	43	y2	y2	PROPN
ejpam-5567	125	44	)	)	PUNCT
ejpam-5567	125	45	.	.	PUNCT
ejpam-5567	126	1	3	3	X
ejpam-5567	126	2	.	.	X
ejpam-5567	126	3	characterizing	characterize	VERB
ejpam-5567	126	4	ternary	ternary	ADJ
ejpam-5567	126	5	soft	soft	ADJ
ejpam-5567	126	6	sets	set	NOUN
ejpam-5567	126	7	:	:	PUNCT
ejpam-5567	126	8	definitions	definition	NOUN
ejpam-5567	126	9	,	,	PUNCT
ejpam-5567	126	10	operations	operation	NOUN
ejpam-5567	126	11	,	,	PUNCT
ejpam-5567	126	12	and	and	CCONJ
ejpam-5567	126	13	properties	property	NOUN
ejpam-5567	126	14	in	in	ADP
ejpam-5567	126	15	this	this	DET
ejpam-5567	126	16	section	section	NOUN
ejpam-5567	126	17	,	,	PUNCT
ejpam-5567	126	18	we	we	PRON
ejpam-5567	126	19	explore	explore	VERB
ejpam-5567	126	20	the	the	DET
ejpam-5567	126	21	fundamental	fundamental	ADJ
ejpam-5567	126	22	definitions	definition	NOUN
ejpam-5567	126	23	related	relate	VERB
ejpam-5567	126	24	to	to	ADP
ejpam-5567	126	25	ternary	ternary	ADJ
ejpam-5567	126	26	soft	soft	ADJ
ejpam-5567	126	27	sets	set	NOUN
ejpam-5567	126	28	.	.	PUNCT
ejpam-5567	127	1	we	we	PRON
ejpam-5567	127	2	will	will	AUX
ejpam-5567	127	3	introduce	introduce	VERB
ejpam-5567	127	4	key	key	ADJ
ejpam-5567	127	5	concepts	concept	NOUN
ejpam-5567	127	6	such	such	ADJ
ejpam-5567	127	7	as	as	ADP
ejpam-5567	127	8	ternary	ternary	ADJ
ejpam-5567	127	9	soft	soft	ADJ
ejpam-5567	127	10	set	set	NOUN
ejpam-5567	127	11	,	,	PUNCT
ejpam-5567	127	12	ternary	ternary	ADJ
ejpam-5567	127	13	soft	soft	ADJ
ejpam-5567	127	14	subset	subset	NOUN
ejpam-5567	127	15	,	,	PUNCT
ejpam-5567	127	16	ternary	ternary	ADJ
ejpam-5567	127	17	soft	soft	ADJ
ejpam-5567	127	18	equal	equal	ADJ
ejpam-5567	127	19	set	set	NOUN
ejpam-5567	127	20	,	,	PUNCT
ejpam-5567	127	21	ternary	ternary	ADJ
ejpam-5567	127	22	soft	soft	ADJ
ejpam-5567	127	23	null	null	ADJ
ejpam-5567	127	24	set	set	NOUN
ejpam-5567	127	25	,	,	PUNCT
ejpam-5567	127	26	ternary	ternary	ADJ
ejpam-5567	127	27	soft	soft	ADJ
ejpam-5567	127	28	absolute	absolute	ADJ
ejpam-5567	127	29	set	set	NOUN
ejpam-5567	127	30	,	,	PUNCT
ejpam-5567	127	31	ternary	ternary	ADJ
ejpam-5567	127	32	soft	soft	ADJ
ejpam-5567	127	33	union	union	NOUN
ejpam-5567	127	34	,	,	PUNCT
ejpam-5567	127	35	ternary	ternary	ADJ
ejpam-5567	127	36	soft	soft	ADJ
ejpam-5567	127	37	intersection	intersection	NOUN
ejpam-5567	127	38	,	,	PUNCT
ejpam-5567	127	39	ternary	ternary	ADJ
ejpam-5567	127	40	soft	soft	ADJ
ejpam-5567	127	41	laws	law	NOUN
ejpam-5567	127	42	,	,	PUNCT
ejpam-5567	127	43	and	and	CCONJ
ejpam-5567	127	44	ternary	ternary	ADJ
ejpam-5567	127	45	soft	soft	ADJ
ejpam-5567	127	46	difference	difference	NOUN
ejpam-5567	127	47	.	.	PUNCT
ejpam-5567	128	1	each	each	PRON
ejpam-5567	128	2	of	of	ADP
ejpam-5567	128	3	these	these	DET
ejpam-5567	128	4	concepts	concept	NOUN
ejpam-5567	128	5	will	will	AUX
ejpam-5567	128	6	be	be	AUX
ejpam-5567	128	7	explained	explain	VERB
ejpam-5567	128	8	in	in	ADP
ejpam-5567	128	9	detail	detail	NOUN
ejpam-5567	128	10	,	,	PUNCT
ejpam-5567	128	11	accompanied	accompany	VERB
ejpam-5567	128	12	by	by	ADP
ejpam-5567	128	13	clear	clear	ADJ
ejpam-5567	128	14	and	and	CCONJ
ejpam-5567	128	15	understandable	understandable	ADJ
ejpam-5567	128	16	examples	example	NOUN
ejpam-5567	128	17	to	to	PART
ejpam-5567	128	18	help	help	VERB
ejpam-5567	128	19	solidify	solidify	VERB
ejpam-5567	128	20	their	their	PRON
ejpam-5567	128	21	understanding	understanding	NOUN
ejpam-5567	128	22	.	.	PUNCT
ejpam-5567	129	1	m.	m.	NOUN
ejpam-5567	129	2	nawaz	nawaz	PROPN
ejpam-5567	129	3	et	et	PROPN
ejpam-5567	129	4	al	al	PROPN
ejpam-5567	129	5	.	.	PUNCT
ejpam-5567	129	6	/	/	SYM
ejpam-5567	129	7	eur	eur	PROPN
ejpam-5567	129	8	.	.	PUNCT
ejpam-5567	130	1	j.	j.	PROPN
ejpam-5567	130	2	pure	pure	PROPN
ejpam-5567	130	3	appl	appl	PROPN
ejpam-5567	130	4	.	.	PROPN
ejpam-5567	130	5	math	math	PROPN
ejpam-5567	130	6	,	,	PUNCT
ejpam-5567	130	7	18	18	NUM
ejpam-5567	130	8	(	(	PUNCT
ejpam-5567	130	9	1	1	NUM
ejpam-5567	130	10	)	)	PUNCT
ejpam-5567	130	11	(	(	PUNCT
ejpam-5567	130	12	2025	2025	NUM
ejpam-5567	130	13	)	)	PUNCT
ejpam-5567	130	14	,	,	PUNCT
ejpam-5567	130	15	5567	5567	NUM
ejpam-5567	130	16	6	6	NUM
ejpam-5567	130	17	of	of	ADP
ejpam-5567	130	18	45	45	NUM
ejpam-5567	130	19	definition	definition	NOUN
ejpam-5567	130	20	12	12	NUM
ejpam-5567	130	21	.	.	PUNCT
ejpam-5567	131	1	let	let	VERB
ejpam-5567	131	2	u1	u1	NOUN
ejpam-5567	131	3	,	,	PUNCT
ejpam-5567	131	4	u2	u2	PROPN
ejpam-5567	131	5	,	,	PUNCT
ejpam-5567	131	6	u3	u3	NOUN
ejpam-5567	131	7	be	be	AUX
ejpam-5567	131	8	three	three	NUM
ejpam-5567	131	9	initial	initial	ADJ
ejpam-5567	131	10	universe	universe	NOUN
ejpam-5567	131	11	sets	set	NOUN
ejpam-5567	131	12	and	and	CCONJ
ejpam-5567	131	13	e	e	NOUN
ejpam-5567	131	14	be	be	AUX
ejpam-5567	131	15	a	a	DET
ejpam-5567	131	16	set	set	NOUN
ejpam-5567	131	17	of	of	ADP
ejpam-5567	131	18	parameters	parameter	NOUN
ejpam-5567	131	19	.	.	PUNCT
ejpam-5567	132	1	let	let	VERB
ejpam-5567	132	2	p	p	NOUN
ejpam-5567	132	3	(	(	PUNCT
ejpam-5567	132	4	u1	u1	PROPN
ejpam-5567	132	5	)	)	PUNCT
ejpam-5567	132	6	,	,	PUNCT
ejpam-5567	132	7	p	p	X
ejpam-5567	132	8	(	(	PUNCT
ejpam-5567	132	9	u2	u2	PROPN
ejpam-5567	132	10	)	)	PUNCT
ejpam-5567	132	11	,	,	PUNCT
ejpam-5567	132	12	p	p	X
ejpam-5567	132	13	(	(	PUNCT
ejpam-5567	132	14	u3	u3	PROPN
ejpam-5567	132	15	)	)	PUNCT
ejpam-5567	132	16	denote	denote	VERB
ejpam-5567	132	17	the	the	DET
ejpam-5567	132	18	power	power	NOUN
ejpam-5567	132	19	set	set	NOUN
ejpam-5567	132	20	of	of	ADP
ejpam-5567	132	21	u1	u1	NOUN
ejpam-5567	132	22	,	,	PUNCT
ejpam-5567	132	23	u2	u2	NOUN
ejpam-5567	132	24	,	,	PUNCT
ejpam-5567	132	25	u3	u3	NOUN
ejpam-5567	132	26	,	,	PUNCT
ejpam-5567	132	27	respectively	respectively	ADV
ejpam-5567	132	28	.	.	PUNCT
ejpam-5567	133	1	also	also	ADV
ejpam-5567	133	2	,	,	PUNCT
ejpam-5567	133	3	let	let	VERB
ejpam-5567	133	4	a	a	DET
ejpam-5567	133	5	,	,	PUNCT
ejpam-5567	133	6	b	b	NOUN
ejpam-5567	133	7	,	,	PUNCT
ejpam-5567	133	8	ç	ç	ADP
ejpam-5567	133	9	⊆	⊆	NUM
ejpam-5567	133	10	e.	e.	PROPN
ejpam-5567	133	11	definition	definition	NOUN
ejpam-5567	133	12	13	13	NUM
ejpam-5567	133	13	.	.	PUNCT
ejpam-5567	134	1	let	let	VERB
ejpam-5567	134	2	u1	u1	NOUN
ejpam-5567	134	3	,	,	PUNCT
ejpam-5567	134	4	u2	u2	PROPN
ejpam-5567	134	5	,	,	PUNCT
ejpam-5567	134	6	u3	u3	NOUN
ejpam-5567	134	7	be	be	AUX
ejpam-5567	134	8	three	three	NUM
ejpam-5567	134	9	universal	universal	ADJ
ejpam-5567	134	10	sets	set	NOUN
ejpam-5567	134	11	,	,	PUNCT
ejpam-5567	134	12	and	and	CCONJ
ejpam-5567	134	13	let	let	VERB
ejpam-5567	134	14	p	p	PROPN
ejpam-5567	134	15	(	(	PUNCT
ejpam-5567	134	16	u1	u1	PROPN
ejpam-5567	134	17	)	)	PUNCT
ejpam-5567	134	18	,	,	PUNCT
ejpam-5567	134	19	p	p	X
ejpam-5567	134	20	(	(	PUNCT
ejpam-5567	134	21	u2	u2	PROPN
ejpam-5567	134	22	)	)	PUNCT
ejpam-5567	134	23	,	,	PUNCT
ejpam-5567	134	24	p	p	X
ejpam-5567	134	25	(	(	PUNCT
ejpam-5567	134	26	u3	u3	PROPN
ejpam-5567	134	27	)	)	PUNCT
ejpam-5567	134	28	be	be	VERB
ejpam-5567	134	29	the	the	DET
ejpam-5567	134	30	power	power	NOUN
ejpam-5567	134	31	sets	set	NOUN
ejpam-5567	134	32	of	of	ADP
ejpam-5567	134	33	u1	u1	NOUN
ejpam-5567	134	34	,	,	PUNCT
ejpam-5567	134	35	u2	u2	NOUN
ejpam-5567	134	36	,	,	PUNCT
ejpam-5567	134	37	u3	u3	NOUN
ejpam-5567	134	38	.	.	PUNCT
ejpam-5567	135	1	if	if	SCONJ
ejpam-5567	135	2	e	e	PROPN
ejpam-5567	135	3	is	be	AUX
ejpam-5567	135	4	a	a	DET
ejpam-5567	135	5	set	set	NOUN
ejpam-5567	135	6	of	of	ADP
ejpam-5567	135	7	parameters	parameter	NOUN
ejpam-5567	135	8	and	and	CCONJ
ejpam-5567	135	9	a	a	DET
ejpam-5567	135	10	⊆	⊆	NUM
ejpam-5567	135	11	e	e	NOUN
ejpam-5567	135	12	,	,	PUNCT
ejpam-5567	135	13	then	then	ADV
ejpam-5567	135	14	a	a	DET
ejpam-5567	135	15	pair	pair	NOUN
ejpam-5567	135	16	(	(	PUNCT
ejpam-5567	135	17	f	f	X
ejpam-5567	135	18	,	,	PUNCT
ejpam-5567	135	19	a	a	PRON
ejpam-5567	135	20	)	)	PUNCT
ejpam-5567	135	21	is	be	AUX
ejpam-5567	135	22	said	say	VERB
ejpam-5567	135	23	to	to	PART
ejpam-5567	135	24	be	be	AUX
ejpam-5567	135	25	a	a	DET
ejpam-5567	135	26	ternary	ternary	ADJ
ejpam-5567	135	27	soft	soft	ADJ
ejpam-5567	135	28	set	set	NOUN
ejpam-5567	135	29	(	(	PUNCT
ejpam-5567	135	30	tss	tss	NOUN
ejpam-5567	135	31	)	)	PUNCT
ejpam-5567	135	32	over	over	ADP
ejpam-5567	135	33	u1	u1	PROPN
ejpam-5567	135	34	,	,	PUNCT
ejpam-5567	135	35	u2	u2	NOUN
ejpam-5567	135	36	,	,	PUNCT
ejpam-5567	135	37	u3	u3	NOUN
ejpam-5567	135	38	,	,	PUNCT
ejpam-5567	135	39	where	where	SCONJ
ejpam-5567	135	40	f	f	PROPN
ejpam-5567	135	41	is	be	AUX
ejpam-5567	135	42	defined	define	VERB
ejpam-5567	135	43	as	as	ADP
ejpam-5567	135	44	below	below	ADV
ejpam-5567	135	45	:	:	PUNCT
ejpam-5567	136	1	f	f	X
ejpam-5567	136	2	:	:	PUNCT
ejpam-5567	136	3	a	a	DET
ejpam-5567	136	4	→	→	SYM
ejpam-5567	136	5	p	p	X
ejpam-5567	136	6	(	(	PUNCT
ejpam-5567	136	7	u1)×	u1)×	PROPN
ejpam-5567	136	8	p	p	X
ejpam-5567	136	9	(	(	PUNCT
ejpam-5567	136	10	u2)×	u2)×	PROPN
ejpam-5567	136	11	p	p	X
ejpam-5567	136	12	(	(	PUNCT
ejpam-5567	136	13	u3	u3	PROPN
ejpam-5567	136	14	)	)	PUNCT
ejpam-5567	136	15	,	,	PUNCT
ejpam-5567	136	16	f	f	PROPN
ejpam-5567	136	17	(	(	PUNCT
ejpam-5567	136	18	e	e	NOUN
ejpam-5567	136	19	)	)	PUNCT
ejpam-5567	136	20	=	=	SYM
ejpam-5567	136	21	(	(	PUNCT
ejpam-5567	136	22	x	x	X
ejpam-5567	136	23	,	,	PUNCT
ejpam-5567	136	24	y	y	PROPN
ejpam-5567	136	25	,	,	PUNCT
ejpam-5567	136	26	z̧	z̧	PROPN
ejpam-5567	136	27	)	)	PUNCT
ejpam-5567	136	28	for	for	ADP
ejpam-5567	136	29	each	each	DET
ejpam-5567	136	30	e	e	PROPN
ejpam-5567	136	31	∈	∈	PROPN
ejpam-5567	136	32	a	a	DET
ejpam-5567	136	33	such	such	ADJ
ejpam-5567	136	34	that	that	SCONJ
ejpam-5567	136	35	x	x	SYM
ejpam-5567	136	36	⊆	⊆	NUM
ejpam-5567	136	37	u1	u1	NOUN
ejpam-5567	136	38	,	,	PUNCT
ejpam-5567	136	39	y	y	PROPN
ejpam-5567	136	40	⊆	⊆	NUM
ejpam-5567	136	41	u2	u2	PROPN
ejpam-5567	136	42	,	,	PUNCT
ejpam-5567	136	43	z̧	z̧	PROPN
ejpam-5567	136	44	⊆	⊆	NUM
ejpam-5567	136	45	u3	u3	PROPN
ejpam-5567	136	46	.	.	PROPN
ejpam-5567	136	47	example	example	NOUN
ejpam-5567	137	1	1	1	NUM
ejpam-5567	137	2	.	.	X
ejpam-5567	137	3	consider	consider	VERB
ejpam-5567	137	4	the	the	DET
ejpam-5567	137	5	following	follow	VERB
ejpam-5567	137	6	sets	set	NOUN
ejpam-5567	137	7	:	:	PUNCT
ejpam-5567	137	8	u1	u1	NOUN
ejpam-5567	137	9	=	=	SYM
ejpam-5567	137	10	{	{	PUNCT
ejpam-5567	137	11	p1	p1	PROPN
ejpam-5567	137	12	,	,	PUNCT
ejpam-5567	137	13	p2	p2	NOUN
ejpam-5567	137	14	,	,	PUNCT
ejpam-5567	137	15	p3	p3	NOUN
ejpam-5567	137	16	,	,	PUNCT
ejpam-5567	137	17	p4	p4	ADJ
ejpam-5567	137	18	,	,	PUNCT
ejpam-5567	137	19	p5	p5	PROPN
ejpam-5567	137	20	}	}	PUNCT
ejpam-5567	137	21	is	be	AUX
ejpam-5567	137	22	the	the	DET
ejpam-5567	137	23	set	set	NOUN
ejpam-5567	137	24	of	of	ADP
ejpam-5567	137	25	paints	paint	NOUN
ejpam-5567	137	26	.	.	PUNCT
ejpam-5567	138	1	u2	u2	NOUN
ejpam-5567	138	2	=	=	SYM
ejpam-5567	138	3	{	{	PUNCT
ejpam-5567	138	4	d1	d1	PROPN
ejpam-5567	138	5	,	,	PUNCT
ejpam-5567	138	6	d2	d2	PROPN
ejpam-5567	138	7	,	,	PUNCT
ejpam-5567	138	8	d3	d3	PROPN
ejpam-5567	138	9	,	,	PUNCT
ejpam-5567	138	10	d4	d4	PROPN
ejpam-5567	138	11	,	,	PUNCT
ejpam-5567	138	12	d5	d5	NOUN
ejpam-5567	138	13	}	}	PUNCT
ejpam-5567	138	14	is	be	AUX
ejpam-5567	138	15	the	the	DET
ejpam-5567	138	16	set	set	NOUN
ejpam-5567	138	17	of	of	ADP
ejpam-5567	138	18	dresses	dress	NOUN
ejpam-5567	138	19	.	.	PUNCT
ejpam-5567	139	1	u3	u3	NOUN
ejpam-5567	139	2	=	=	SYM
ejpam-5567	139	3	{	{	PUNCT
ejpam-5567	139	4	j1	j1	PROPN
ejpam-5567	139	5	,	,	PUNCT
ejpam-5567	139	6	j2	j2	PROPN
ejpam-5567	139	7	,	,	PUNCT
ejpam-5567	139	8	j3	j3	PROPN
ejpam-5567	139	9	,	,	PUNCT
ejpam-5567	139	10	j4	j4	PROPN
ejpam-5567	139	11	,	,	PUNCT
ejpam-5567	139	12	j5	j5	PROPN
ejpam-5567	139	13	}	}	PUNCT
ejpam-5567	139	14	is	be	AUX
ejpam-5567	139	15	the	the	DET
ejpam-5567	139	16	set	set	NOUN
ejpam-5567	139	17	of	of	ADP
ejpam-5567	139	18	jackets	jacket	NOUN
ejpam-5567	139	19	.	.	PUNCT
ejpam-5567	140	1	e	e	X
ejpam-5567	140	2	=	=	PRON
ejpam-5567	140	3	{	{	PUNCT
ejpam-5567	140	4	e1	e1	PROPN
ejpam-5567	140	5	,	,	PUNCT
ejpam-5567	140	6	e2	e2	PROPN
ejpam-5567	140	7	,	,	PUNCT
ejpam-5567	140	8	e3	e3	NOUN
ejpam-5567	140	9	,	,	PUNCT
ejpam-5567	140	10	e4	e4	PROPN
ejpam-5567	140	11	,	,	PUNCT
ejpam-5567	140	12	e5	e5	PROPN
ejpam-5567	140	13	,	,	PUNCT
ejpam-5567	140	14	e6	e6	PROPN
ejpam-5567	140	15	,	,	PUNCT
ejpam-5567	140	16	e7	e7	PROPN
ejpam-5567	140	17	,	,	PUNCT
ejpam-5567	140	18	e8	e8	PROPN
ejpam-5567	140	19	,	,	PUNCT
ejpam-5567	140	20	e9	e9	PROPN
ejpam-5567	140	21	,	,	PUNCT
ejpam-5567	140	22	e10	e10	NUM
ejpam-5567	140	23	,	,	PUNCT
ejpam-5567	140	24	e11	e11	ADJ
ejpam-5567	140	25	}	}	PUNCT
ejpam-5567	140	26	e	e	NOUN
ejpam-5567	140	27	is	be	AUX
ejpam-5567	140	28	the	the	DET
ejpam-5567	140	29	set	set	NOUN
ejpam-5567	140	30	of	of	ADP
ejpam-5567	140	31	parameters	parameter	NOUN
ejpam-5567	140	32	,	,	PUNCT
ejpam-5567	140	33	where	where	SCONJ
ejpam-5567	140	34	e1	e1	NOUN
ejpam-5567	140	35	:	:	PUNCT
ejpam-5567	140	36	expensive	expensive	ADJ
ejpam-5567	140	37	,	,	PUNCT
ejpam-5567	140	38	e2	e2	PROPN
ejpam-5567	140	39	:	:	PUNCT
ejpam-5567	140	40	cheap	cheap	ADJ
ejpam-5567	140	41	,	,	PUNCT
ejpam-5567	140	42	e3	e3	VERB
ejpam-5567	140	43	:	:	PUNCT
ejpam-5567	140	44	sport	sport	NOUN
ejpam-5567	140	45	,	,	PUNCT
ejpam-5567	140	46	e4	e4	PROPN
ejpam-5567	140	47	:	:	PUNCT
ejpam-5567	140	48	classic	classic	ADJ
ejpam-5567	140	49	,	,	PUNCT
ejpam-5567	140	50	e5	e5	INTJ
ejpam-5567	140	51	:	:	PUNCT
ejpam-5567	140	52	colorful	colorful	ADJ
ejpam-5567	140	53	,	,	PUNCT
ejpam-5567	140	54	e6	e6	NOUN
ejpam-5567	140	55	:	:	PUNCT
ejpam-5567	140	56	plain	plain	ADJ
ejpam-5567	140	57	,	,	PUNCT
ejpam-5567	140	58	e7	e7	PROPN
ejpam-5567	140	59	:	:	PUNCT
ejpam-5567	140	60	small	small	ADJ
ejpam-5567	140	61	,	,	PUNCT
ejpam-5567	140	62	e8	e8	PROPN
ejpam-5567	140	63	:	:	PUNCT
ejpam-5567	140	64	large	large	ADJ
ejpam-5567	140	65	,	,	PUNCT
ejpam-5567	140	66	e9	e9	NOUN
ejpam-5567	140	67	:	:	PUNCT
ejpam-5567	140	68	attractive	attractive	ADJ
ejpam-5567	140	69	,	,	PUNCT
ejpam-5567	140	70	e10	e10	NUM
ejpam-5567	140	71	:	:	PUNCT
ejpam-5567	140	72	dirty	dirty	ADJ
ejpam-5567	140	73	,	,	PUNCT
ejpam-5567	140	74	e11	e11	ADJ
ejpam-5567	140	75	:	:	PUNCT
ejpam-5567	140	76	expire	expire	VERB
ejpam-5567	140	77	.	.	PUNCT
ejpam-5567	141	1	the	the	DET
ejpam-5567	141	2	ternary	ternary	ADJ
ejpam-5567	141	3	soft	soft	ADJ
ejpam-5567	141	4	set	set	NOUN
ejpam-5567	141	5	(	(	PUNCT
ejpam-5567	141	6	f	f	X
ejpam-5567	141	7	,	,	PUNCT
ejpam-5567	141	8	a	a	PRON
ejpam-5567	141	9	)	)	PUNCT
ejpam-5567	141	10	describes	describe	VERB
ejpam-5567	141	11	“	"	PUNCT
ejpam-5567	141	12	the	the	DET
ejpam-5567	141	13	special	special	ADJ
ejpam-5567	141	14	feature	feature	NOUN
ejpam-5567	141	15	of	of	ADP
ejpam-5567	141	16	paints	paint	NOUN
ejpam-5567	141	17	,	,	PUNCT
ejpam-5567	141	18	dresses	dress	NOUN
ejpam-5567	141	19	,	,	PUNCT
ejpam-5567	141	20	and	and	CCONJ
ejpam-5567	141	21	jackets	jacket	NOUN
ejpam-5567	141	22	”	"	PUNCT
ejpam-5567	141	23	which	which	PRON
ejpam-5567	141	24	mr	mr	PROPN
ejpam-5567	141	25	.	.	PROPN
ejpam-5567	141	26	wisal	wisal	PROPN
ejpam-5567	141	27	khattak	khattak	PROPN
ejpam-5567	141	28	is	be	AUX
ejpam-5567	141	29	going	go	VERB
ejpam-5567	141	30	to	to	PART
ejpam-5567	141	31	buy	buy	VERB
ejpam-5567	141	32	,	,	PUNCT
ejpam-5567	141	33	where	where	SCONJ
ejpam-5567	141	34	a	a	DET
ejpam-5567	141	35	=	=	SYM
ejpam-5567	141	36	{	{	PUNCT
ejpam-5567	141	37	e1	e1	PROPN
ejpam-5567	141	38	,	,	PUNCT
ejpam-5567	141	39	e2	e2	PROPN
ejpam-5567	141	40	,	,	PUNCT
ejpam-5567	141	41	e3	e3	NOUN
ejpam-5567	141	42	,	,	PUNCT
ejpam-5567	141	43	e4	e4	PROPN
ejpam-5567	141	44	}	}	PUNCT
ejpam-5567	141	45	⊆	⊆	NUM
ejpam-5567	141	46	e.	e.	PROPN
ejpam-5567	141	47	(	(	PUNCT
ejpam-5567	141	48	f	f	PROPN
ejpam-5567	141	49	,	,	PUNCT
ejpam-5567	141	50	a	a	PRON
ejpam-5567	141	51	)	)	PUNCT
ejpam-5567	141	52	is	be	AUX
ejpam-5567	141	53	a	a	DET
ejpam-5567	141	54	ternary	ternary	ADJ
ejpam-5567	141	55	soft	soft	ADJ
ejpam-5567	141	56	set	set	NOUN
ejpam-5567	141	57	over	over	ADP
ejpam-5567	141	58	u1	u1	NOUN
ejpam-5567	141	59	,	,	PUNCT
ejpam-5567	141	60	u2	u2	NOUN
ejpam-5567	141	61	,	,	PUNCT
ejpam-5567	141	62	u3	u3	NOUN
ejpam-5567	141	63	,	,	PUNCT
ejpam-5567	141	64	defined	define	VERB
ejpam-5567	141	65	as	as	SCONJ
ejpam-5567	141	66	follows	follow	VERB
ejpam-5567	141	67	:	:	PUNCT
ejpam-5567	141	68	f	f	PROPN
ejpam-5567	141	69	(	(	PUNCT
ejpam-5567	141	70	e1	e1	PROPN
ejpam-5567	141	71	)	)	PUNCT
ejpam-5567	141	72	=	=	SYM
ejpam-5567	141	73	(	(	PUNCT
ejpam-5567	141	74	{	{	PUNCT
ejpam-5567	141	75	p1	p1	NOUN
ejpam-5567	141	76	,	,	PUNCT
ejpam-5567	141	77	p2	p2	PROPN
ejpam-5567	141	78	}	}	PUNCT
ejpam-5567	141	79	,	,	PUNCT
ejpam-5567	141	80	{	{	PUNCT
ejpam-5567	141	81	d1	d1	NOUN
ejpam-5567	141	82	,	,	PUNCT
ejpam-5567	141	83	d3	d3	PROPN
ejpam-5567	141	84	}	}	PUNCT
ejpam-5567	141	85	,	,	PUNCT
ejpam-5567	141	86	{	{	PUNCT
ejpam-5567	141	87	j1	j1	PROPN
ejpam-5567	141	88	,	,	PUNCT
ejpam-5567	141	89	j3	j3	PROPN
ejpam-5567	141	90	}	}	PUNCT
ejpam-5567	141	91	)	)	PUNCT
ejpam-5567	142	1	f	f	PROPN
ejpam-5567	142	2	(	(	PUNCT
ejpam-5567	142	3	e2	e2	PROPN
ejpam-5567	142	4	)	)	PUNCT
ejpam-5567	142	5	=	=	PUNCT
ejpam-5567	142	6	(	(	PUNCT
ejpam-5567	142	7	{	{	PUNCT
ejpam-5567	142	8	p3	p3	PROPN
ejpam-5567	142	9	,	,	PUNCT
ejpam-5567	142	10	p4	p4	ADJ
ejpam-5567	142	11	}	}	PUNCT
ejpam-5567	142	12	,	,	PUNCT
ejpam-5567	142	13	{	{	PUNCT
ejpam-5567	142	14	d2	d2	PROPN
ejpam-5567	142	15	,	,	PUNCT
ejpam-5567	142	16	d4	d4	PROPN
ejpam-5567	142	17	,	,	PUNCT
ejpam-5567	142	18	d5	d5	NOUN
ejpam-5567	142	19	}	}	PUNCT
ejpam-5567	142	20	,	,	PUNCT
ejpam-5567	142	21	{	{	PUNCT
ejpam-5567	142	22	j2	j2	PROPN
ejpam-5567	142	23	,	,	PUNCT
ejpam-5567	142	24	j4	j4	PROPN
ejpam-5567	142	25	,	,	PUNCT
ejpam-5567	142	26	j5	j5	PROPN
ejpam-5567	142	27	}	}	PUNCT
ejpam-5567	142	28	)	)	PUNCT
ejpam-5567	142	29	f	f	PROPN
ejpam-5567	142	30	(	(	PUNCT
ejpam-5567	142	31	e3	e3	NOUN
ejpam-5567	142	32	)	)	PUNCT
ejpam-5567	142	33	=	=	SYM
ejpam-5567	142	34	(	(	PUNCT
ejpam-5567	142	35	{	{	PUNCT
ejpam-5567	142	36	p2	p2	X
ejpam-5567	142	37	,	,	PUNCT
ejpam-5567	142	38	p3	p3	NOUN
ejpam-5567	142	39	,	,	PUNCT
ejpam-5567	142	40	p5	p5	PROPN
ejpam-5567	142	41	}	}	PUNCT
ejpam-5567	142	42	,	,	PUNCT
ejpam-5567	142	43	{	{	PUNCT
ejpam-5567	142	44	d1	d1	NOUN
ejpam-5567	142	45	,	,	PUNCT
ejpam-5567	142	46	d5	d5	NOUN
ejpam-5567	142	47	}	}	PUNCT
ejpam-5567	142	48	,	,	PUNCT
ejpam-5567	142	49	{	{	PUNCT
ejpam-5567	142	50	j1	j1	PROPN
ejpam-5567	142	51	,	,	PUNCT
ejpam-5567	142	52	j5	j5	PROPN
ejpam-5567	142	53	}	}	PUNCT
ejpam-5567	142	54	)	)	PUNCT
ejpam-5567	142	55	f	f	PROPN
ejpam-5567	142	56	(	(	PUNCT
ejpam-5567	142	57	e4	e4	PROPN
ejpam-5567	142	58	)	)	PUNCT
ejpam-5567	142	59	=	=	PUNCT
ejpam-5567	142	60	(	(	PUNCT
ejpam-5567	142	61	{	{	PUNCT
ejpam-5567	142	62	p1	p1	NOUN
ejpam-5567	142	63	,	,	PUNCT
ejpam-5567	142	64	p4	p4	ADJ
ejpam-5567	142	65	}	}	PUNCT
ejpam-5567	142	66	,	,	PUNCT
ejpam-5567	142	67	{	{	PUNCT
ejpam-5567	142	68	d2	d2	PROPN
ejpam-5567	142	69	,	,	PUNCT
ejpam-5567	142	70	d3	d3	PROPN
ejpam-5567	142	71	}	}	PUNCT
ejpam-5567	142	72	,	,	PUNCT
ejpam-5567	142	73	{	{	PUNCT
ejpam-5567	142	74	j2	j2	PROPN
ejpam-5567	142	75	,	,	PUNCT
ejpam-5567	142	76	j3	j3	PROPN
ejpam-5567	142	77	}	}	PUNCT
ejpam-5567	142	78	)	)	PUNCT
ejpam-5567	143	1	so	so	ADV
ejpam-5567	143	2	,	,	PUNCT
ejpam-5567	143	3	we	we	PRON
ejpam-5567	143	4	can	can	AUX
ejpam-5567	143	5	say	say	VERB
ejpam-5567	143	6	the	the	DET
ejpam-5567	143	7	ternary	ternary	ADJ
ejpam-5567	143	8	soft	soft	ADJ
ejpam-5567	143	9	set	set	NOUN
ejpam-5567	143	10	(	(	PUNCT
ejpam-5567	143	11	f	f	X
ejpam-5567	143	12	,	,	PUNCT
ejpam-5567	143	13	a	a	PRON
ejpam-5567	143	14	)	)	PUNCT
ejpam-5567	143	15	is	be	AUX
ejpam-5567	143	16	:	:	PUNCT
ejpam-5567	143	17	expensive	expensive	ADJ
ejpam-5567	143	18	paints	paint	NOUN
ejpam-5567	143	19	,	,	PUNCT
ejpam-5567	143	20	dresses	dress	NOUN
ejpam-5567	143	21	,	,	PUNCT
ejpam-5567	143	22	jackets	jacket	NOUN
ejpam-5567	143	23	:	:	PUNCT
ejpam-5567	143	24	f	f	PROPN
ejpam-5567	143	25	(	(	PUNCT
ejpam-5567	143	26	e1	e1	PROPN
ejpam-5567	143	27	)	)	PUNCT
ejpam-5567	143	28	=	=	SYM
ejpam-5567	143	29	(	(	PUNCT
ejpam-5567	143	30	{	{	PUNCT
ejpam-5567	143	31	p1	p1	NOUN
ejpam-5567	143	32	,	,	PUNCT
ejpam-5567	143	33	p2	p2	PROPN
ejpam-5567	143	34	}	}	PUNCT
ejpam-5567	143	35	,	,	PUNCT
ejpam-5567	143	36	{	{	PUNCT
ejpam-5567	143	37	d1	d1	NOUN
ejpam-5567	143	38	,	,	PUNCT
ejpam-5567	143	39	d3	d3	PROPN
ejpam-5567	143	40	}	}	PUNCT
ejpam-5567	143	41	,	,	PUNCT
ejpam-5567	143	42	{	{	PUNCT
ejpam-5567	143	43	j1	j1	PROPN
ejpam-5567	143	44	,	,	PUNCT
ejpam-5567	143	45	j3	j3	PROPN
ejpam-5567	143	46	}	}	PUNCT
ejpam-5567	143	47	)	)	PUNCT
ejpam-5567	143	48	cheap	cheap	ADJ
ejpam-5567	143	49	paints	paint	NOUN
ejpam-5567	143	50	,	,	PUNCT
ejpam-5567	143	51	dresses	dress	NOUN
ejpam-5567	143	52	,	,	PUNCT
ejpam-5567	143	53	jackets	jacket	NOUN
ejpam-5567	143	54	:	:	PUNCT
ejpam-5567	143	55	f	f	PROPN
ejpam-5567	143	56	(	(	PUNCT
ejpam-5567	143	57	e2	e2	PROPN
ejpam-5567	143	58	)	)	PUNCT
ejpam-5567	143	59	=	=	PUNCT
ejpam-5567	143	60	(	(	PUNCT
ejpam-5567	143	61	{	{	PUNCT
ejpam-5567	143	62	p3	p3	PROPN
ejpam-5567	143	63	,	,	PUNCT
ejpam-5567	143	64	p4	p4	ADJ
ejpam-5567	143	65	}	}	PUNCT
ejpam-5567	143	66	,	,	PUNCT
ejpam-5567	143	67	{	{	PUNCT
ejpam-5567	143	68	d2	d2	PROPN
ejpam-5567	143	69	,	,	PUNCT
ejpam-5567	143	70	d4	d4	PROPN
ejpam-5567	143	71	,	,	PUNCT
ejpam-5567	143	72	d5	d5	NOUN
ejpam-5567	143	73	}	}	PUNCT
ejpam-5567	143	74	,	,	PUNCT
ejpam-5567	143	75	{	{	PUNCT
ejpam-5567	143	76	j2	j2	PROPN
ejpam-5567	143	77	,	,	PUNCT
ejpam-5567	143	78	j4	j4	PROPN
ejpam-5567	143	79	,	,	PUNCT
ejpam-5567	143	80	j5	j5	PROPN
ejpam-5567	143	81	}	}	PUNCT
ejpam-5567	143	82	)	)	PUNCT
ejpam-5567	143	83	sports	sport	NOUN
ejpam-5567	143	84	paints	paint	NOUN
ejpam-5567	143	85	,	,	PUNCT
ejpam-5567	143	86	dresses	dress	NOUN
ejpam-5567	143	87	,	,	PUNCT
ejpam-5567	143	88	jackets	jacket	NOUN
ejpam-5567	143	89	:	:	PUNCT
ejpam-5567	143	90	f	f	X
ejpam-5567	143	91	(	(	PUNCT
ejpam-5567	143	92	e3	e3	NOUN
ejpam-5567	143	93	)	)	PUNCT
ejpam-5567	143	94	=	=	SYM
ejpam-5567	143	95	(	(	PUNCT
ejpam-5567	143	96	{	{	PUNCT
ejpam-5567	143	97	p2	p2	X
ejpam-5567	143	98	,	,	PUNCT
ejpam-5567	143	99	p3	p3	NOUN
ejpam-5567	143	100	,	,	PUNCT
ejpam-5567	143	101	p5	p5	PROPN
ejpam-5567	143	102	}	}	PUNCT
ejpam-5567	143	103	,	,	PUNCT
ejpam-5567	143	104	{	{	PUNCT
ejpam-5567	143	105	d1	d1	NOUN
ejpam-5567	143	106	,	,	PUNCT
ejpam-5567	143	107	d5	d5	NOUN
ejpam-5567	143	108	}	}	PUNCT
ejpam-5567	143	109	,	,	PUNCT
ejpam-5567	143	110	{	{	PUNCT
ejpam-5567	143	111	j1	j1	PROPN
ejpam-5567	143	112	,	,	PUNCT
ejpam-5567	143	113	j5	j5	PROPN
ejpam-5567	143	114	}	}	PUNCT
ejpam-5567	143	115	)	)	PUNCT
ejpam-5567	143	116	classic	classic	ADJ
ejpam-5567	143	117	paints	paint	NOUN
ejpam-5567	143	118	,	,	PUNCT
ejpam-5567	143	119	dresses	dress	NOUN
ejpam-5567	143	120	,	,	PUNCT
ejpam-5567	143	121	jackets	jacket	NOUN
ejpam-5567	143	122	:	:	PUNCT
ejpam-5567	143	123	f	f	PROPN
ejpam-5567	143	124	(	(	PUNCT
ejpam-5567	143	125	e4	e4	PROPN
ejpam-5567	143	126	)	)	PUNCT
ejpam-5567	143	127	=	=	PUNCT
ejpam-5567	143	128	(	(	PUNCT
ejpam-5567	143	129	{	{	PUNCT
ejpam-5567	143	130	p1	p1	NOUN
ejpam-5567	143	131	,	,	PUNCT
ejpam-5567	143	132	p4	p4	ADJ
ejpam-5567	143	133	}	}	PUNCT
ejpam-5567	143	134	,	,	PUNCT
ejpam-5567	143	135	{	{	PUNCT
ejpam-5567	143	136	d2	d2	PROPN
ejpam-5567	143	137	,	,	PUNCT
ejpam-5567	143	138	d3	d3	PROPN
ejpam-5567	143	139	}	}	PUNCT
ejpam-5567	143	140	,	,	PUNCT
ejpam-5567	143	141	{	{	PUNCT
ejpam-5567	143	142	j2	j2	PROPN
ejpam-5567	143	143	,	,	PUNCT
ejpam-5567	143	144	j3	j3	PROPN
ejpam-5567	143	145	}	}	PUNCT
ejpam-5567	143	146	)	)	PUNCT
ejpam-5567	143	147	we	we	PRON
ejpam-5567	143	148	denote	denote	VERB
ejpam-5567	143	149	the	the	DET
ejpam-5567	143	150	ternary	ternary	ADJ
ejpam-5567	143	151	soft	soft	ADJ
ejpam-5567	143	152	set	set	NOUN
ejpam-5567	143	153	(	(	PUNCT
ejpam-5567	143	154	f	f	X
ejpam-5567	143	155	,	,	PUNCT
ejpam-5567	143	156	a	a	PRON
ejpam-5567	143	157	)	)	PUNCT
ejpam-5567	143	158	as	as	SCONJ
ejpam-5567	143	159	follows	follow	VERB
ejpam-5567	143	160	:	:	PUNCT
ejpam-5567	143	161	(	(	PUNCT
ejpam-5567	143	162	f	f	X
ejpam-5567	143	163	,	,	PUNCT
ejpam-5567	143	164	a	a	PRON
ejpam-5567	143	165	)	)	PUNCT
ejpam-5567	143	166	=	=	SYM
ejpam-5567	143	167	{	{	PUNCT
ejpam-5567	143	168	(	(	PUNCT
ejpam-5567	143	169	e1	e1	PROPN
ejpam-5567	143	170	,	,	PUNCT
ejpam-5567	143	171	(	(	PUNCT
ejpam-5567	143	172	{	{	PUNCT
ejpam-5567	143	173	p1	p1	NOUN
ejpam-5567	143	174	,	,	PUNCT
ejpam-5567	143	175	p2	p2	PROPN
ejpam-5567	143	176	}	}	PUNCT
ejpam-5567	143	177	,	,	PUNCT
ejpam-5567	143	178	{	{	PUNCT
ejpam-5567	143	179	d1	d1	NOUN
ejpam-5567	143	180	,	,	PUNCT
ejpam-5567	143	181	d3	d3	PROPN
ejpam-5567	143	182	}	}	PUNCT
ejpam-5567	143	183	,	,	PUNCT
ejpam-5567	143	184	{	{	PUNCT
ejpam-5567	143	185	j1	j1	PROPN
ejpam-5567	143	186	,	,	PUNCT
ejpam-5567	143	187	j3	j3	PROPN
ejpam-5567	143	188	}	}	PUNCT
ejpam-5567	143	189	)	)	PUNCT
ejpam-5567	143	190	)	)	PUNCT
ejpam-5567	143	191	,	,	PUNCT
ejpam-5567	143	192	(	(	PUNCT
ejpam-5567	143	193	e2	e2	PROPN
ejpam-5567	143	194	,	,	PUNCT
ejpam-5567	143	195	(	(	PUNCT
ejpam-5567	143	196	{	{	PUNCT
ejpam-5567	143	197	p3	p3	PROPN
ejpam-5567	143	198	,	,	PUNCT
ejpam-5567	143	199	p4	p4	ADJ
ejpam-5567	143	200	}	}	PUNCT
ejpam-5567	143	201	,	,	PUNCT
ejpam-5567	143	202	{	{	PUNCT
ejpam-5567	143	203	d2	d2	PROPN
ejpam-5567	143	204	,	,	PUNCT
ejpam-5567	143	205	d4	d4	PROPN
ejpam-5567	143	206	,	,	PUNCT
ejpam-5567	143	207	d5	d5	NOUN
ejpam-5567	143	208	}	}	PUNCT
ejpam-5567	143	209	,	,	PUNCT
ejpam-5567	143	210	{	{	PUNCT
ejpam-5567	143	211	j2	j2	PROPN
ejpam-5567	143	212	,	,	PUNCT
ejpam-5567	143	213	j4	j4	PROPN
ejpam-5567	143	214	,	,	PUNCT
ejpam-5567	143	215	j5	j5	PROPN
ejpam-5567	143	216	}	}	PUNCT
ejpam-5567	143	217	)	)	PUNCT
ejpam-5567	143	218	)	)	PUNCT
ejpam-5567	143	219	,	,	PUNCT
ejpam-5567	143	220	(	(	PUNCT
ejpam-5567	143	221	e3	e3	NOUN
ejpam-5567	143	222	,	,	PUNCT
ejpam-5567	143	223	(	(	PUNCT
ejpam-5567	143	224	{	{	PUNCT
ejpam-5567	143	225	p2	p2	X
ejpam-5567	143	226	,	,	PUNCT
ejpam-5567	143	227	p3	p3	NOUN
ejpam-5567	143	228	,	,	PUNCT
ejpam-5567	143	229	p5	p5	PROPN
ejpam-5567	143	230	}	}	PUNCT
ejpam-5567	143	231	,	,	PUNCT
ejpam-5567	143	232	{	{	PUNCT
ejpam-5567	143	233	d1	d1	NOUN
ejpam-5567	143	234	,	,	PUNCT
ejpam-5567	143	235	d5	d5	NOUN
ejpam-5567	143	236	}	}	PUNCT
ejpam-5567	143	237	,	,	PUNCT
ejpam-5567	143	238	{	{	PUNCT
ejpam-5567	143	239	j1	j1	PROPN
ejpam-5567	143	240	,	,	PUNCT
ejpam-5567	143	241	j5	j5	PROPN
ejpam-5567	143	242	}	}	PUNCT
ejpam-5567	143	243	)	)	PUNCT
ejpam-5567	143	244	)	)	PUNCT
ejpam-5567	143	245	,	,	PUNCT
ejpam-5567	143	246	(	(	PUNCT
ejpam-5567	143	247	e4	e4	PROPN
ejpam-5567	143	248	,	,	PUNCT
ejpam-5567	143	249	(	(	PUNCT
ejpam-5567	143	250	{	{	PUNCT
ejpam-5567	143	251	p1	p1	NOUN
ejpam-5567	143	252	,	,	PUNCT
ejpam-5567	143	253	p4	p4	ADJ
ejpam-5567	143	254	}	}	PUNCT
ejpam-5567	143	255	,	,	PUNCT
ejpam-5567	143	256	{	{	PUNCT
ejpam-5567	143	257	d2	d2	PROPN
ejpam-5567	143	258	,	,	PUNCT
ejpam-5567	143	259	d3	d3	PROPN
ejpam-5567	143	260	}	}	PUNCT
ejpam-5567	143	261	,	,	PUNCT
ejpam-5567	143	262	{	{	PUNCT
ejpam-5567	143	263	j2	j2	PROPN
ejpam-5567	143	264	,	,	PUNCT
ejpam-5567	143	265	j3	j3	PROPN
ejpam-5567	143	266	}	}	PUNCT
ejpam-5567	143	267	)	)	PUNCT
ejpam-5567	143	268	)	)	PUNCT
ejpam-5567	143	269	}	}	PUNCT
ejpam-5567	143	270	in	in	ADP
ejpam-5567	143	271	this	this	DET
ejpam-5567	143	272	example	example	NOUN
ejpam-5567	143	273	,	,	PUNCT
ejpam-5567	143	274	we	we	PRON
ejpam-5567	143	275	can	can	AUX
ejpam-5567	143	276	see	see	VERB
ejpam-5567	143	277	the	the	DET
ejpam-5567	143	278	views	view	NOUN
ejpam-5567	143	279	of	of	ADP
ejpam-5567	143	280	mrs	mrs	PROPN
ejpam-5567	143	281	.	.	PROPN
ejpam-5567	143	282	wisal	wisal	PROPN
ejpam-5567	143	283	khattak	khattak	PROPN
ejpam-5567	143	284	who	who	PRON
ejpam-5567	143	285	wants	want	VERB
ejpam-5567	143	286	to	to	PART
ejpam-5567	143	287	buy	buy	VERB
ejpam-5567	143	288	paints	paint	NOUN
ejpam-5567	143	289	,	,	PUNCT
ejpam-5567	143	290	dresses	dress	NOUN
ejpam-5567	143	291	,	,	PUNCT
ejpam-5567	143	292	and	and	CCONJ
ejpam-5567	143	293	jackets	jacket	NOUN
ejpam-5567	143	294	under	under	ADP
ejpam-5567	143	295	the	the	DET
ejpam-5567	143	296	same	same	ADJ
ejpam-5567	143	297	parameters	parameter	NOUN
ejpam-5567	143	298	.	.	PUNCT
ejpam-5567	144	1	m.	m.	NOUN
ejpam-5567	144	2	nawaz	nawaz	PROPN
ejpam-5567	144	3	et	et	PROPN
ejpam-5567	144	4	al	al	PROPN
ejpam-5567	144	5	.	.	PUNCT
ejpam-5567	144	6	/	/	SYM
ejpam-5567	144	7	eur	eur	PROPN
ejpam-5567	144	8	.	.	PUNCT
ejpam-5567	145	1	j.	j.	PROPN
ejpam-5567	145	2	pure	pure	PROPN
ejpam-5567	145	3	appl	appl	PROPN
ejpam-5567	145	4	.	.	PROPN
ejpam-5567	145	5	math	math	PROPN
ejpam-5567	145	6	,	,	PUNCT
ejpam-5567	145	7	18	18	NUM
ejpam-5567	145	8	(	(	PUNCT
ejpam-5567	145	9	1	1	NUM
ejpam-5567	145	10	)	)	PUNCT
ejpam-5567	145	11	(	(	PUNCT
ejpam-5567	145	12	2025	2025	NUM
ejpam-5567	145	13	)	)	PUNCT
ejpam-5567	145	14	,	,	PUNCT
ejpam-5567	145	15	5567	5567	NUM
ejpam-5567	145	16	7	7	NUM
ejpam-5567	145	17	of	of	ADP
ejpam-5567	145	18	45	45	NUM
ejpam-5567	145	19	definition	definition	NOUN
ejpam-5567	145	20	14	14	NUM
ejpam-5567	145	21	.	.	PUNCT
ejpam-5567	146	1	let	let	VERB
ejpam-5567	146	2	(	(	PUNCT
ejpam-5567	146	3	f	f	X
ejpam-5567	146	4	,	,	PUNCT
ejpam-5567	146	5	a	a	PRON
ejpam-5567	146	6	)	)	PUNCT
ejpam-5567	146	7	and	and	CCONJ
ejpam-5567	146	8	(	(	PUNCT
ejpam-5567	146	9	g	g	NOUN
ejpam-5567	146	10	,	,	PUNCT
ejpam-5567	146	11	b	b	NOUN
ejpam-5567	146	12	)	)	PUNCT
ejpam-5567	146	13	be	be	AUX
ejpam-5567	146	14	two	two	NUM
ejpam-5567	146	15	ternary	ternary	ADJ
ejpam-5567	146	16	soft	soft	ADJ
ejpam-5567	146	17	sets	set	NOUN
ejpam-5567	146	18	over	over	ADP
ejpam-5567	146	19	the	the	DET
ejpam-5567	146	20	universal	universal	ADJ
ejpam-5567	146	21	sets	set	NOUN
ejpam-5567	146	22	u1	u1	NOUN
ejpam-5567	146	23	,	,	PUNCT
ejpam-5567	146	24	u2	u2	NOUN
ejpam-5567	146	25	,	,	PUNCT
ejpam-5567	146	26	u3	u3	NOUN
ejpam-5567	146	27	.	.	PUNCT
ejpam-5567	147	1	then	then	ADV
ejpam-5567	147	2	(	(	PUNCT
ejpam-5567	147	3	f	f	X
ejpam-5567	147	4	,	,	PUNCT
ejpam-5567	147	5	a	a	PRON
ejpam-5567	147	6	)	)	PUNCT
ejpam-5567	147	7	is	be	AUX
ejpam-5567	147	8	called	call	VERB
ejpam-5567	147	9	a	a	DET
ejpam-5567	147	10	ternary	ternary	ADJ
ejpam-5567	147	11	soft	soft	ADJ
ejpam-5567	147	12	subset	subset	NOUN
ejpam-5567	147	13	of	of	ADP
ejpam-5567	147	14	(	(	PUNCT
ejpam-5567	147	15	g	g	PROPN
ejpam-5567	147	16	,	,	PUNCT
ejpam-5567	147	17	b	b	NOUN
ejpam-5567	147	18	)	)	PUNCT
ejpam-5567	147	19	if	if	SCONJ
ejpam-5567	147	20	:	:	PUNCT
ejpam-5567	147	21	(	(	PUNCT
ejpam-5567	147	22	i	i	NOUN
ejpam-5567	147	23	)	)	PUNCT
ejpam-5567	147	24	a	a	PRON
ejpam-5567	147	25	⊆	⊆	NUM
ejpam-5567	147	26	b	b	PROPN
ejpam-5567	147	27	(	(	PUNCT
ejpam-5567	147	28	ii	ii	PROPN
ejpam-5567	147	29	)	)	PUNCT
ejpam-5567	147	30	x1	x1	PROPN
ejpam-5567	147	31	⊆	⊆	NUM
ejpam-5567	147	32	x2	x2	NOUN
ejpam-5567	147	33	,	,	PUNCT
ejpam-5567	147	34	y1	y1	NOUN
ejpam-5567	147	35	⊆	⊆	NUM
ejpam-5567	147	36	y2	y2	NOUN
ejpam-5567	147	37	and	and	CCONJ
ejpam-5567	147	38	z̧1	z̧1	NUM
ejpam-5567	147	39	⊆	⊆	NUM
ejpam-5567	147	40	z̧2	z̧2	NOUN
ejpam-5567	147	41	such	such	ADJ
ejpam-5567	147	42	that	that	SCONJ
ejpam-5567	147	43	f	f	PROPN
ejpam-5567	147	44	(	(	PUNCT
ejpam-5567	147	45	e	e	NOUN
ejpam-5567	147	46	)	)	PUNCT
ejpam-5567	147	47	=	=	SYM
ejpam-5567	147	48	(	(	PUNCT
ejpam-5567	147	49	x1	x1	PROPN
ejpam-5567	147	50	,	,	PUNCT
ejpam-5567	147	51	y1	y1	NOUN
ejpam-5567	147	52	,	,	PUNCT
ejpam-5567	147	53	z̧1	z̧1	X
ejpam-5567	147	54	)	)	PUNCT
ejpam-5567	147	55	and	and	CCONJ
ejpam-5567	147	56	g(e	g(e	PROPN
ejpam-5567	147	57	)	)	PUNCT
ejpam-5567	148	1	=	=	PRON
ejpam-5567	148	2	(	(	PUNCT
ejpam-5567	148	3	x2	x2	PROPN
ejpam-5567	148	4	,	,	PUNCT
ejpam-5567	148	5	y2	y2	PROPN
ejpam-5567	148	6	,	,	PUNCT
ejpam-5567	148	7	z̧2	z̧2	NOUN
ejpam-5567	148	8	)	)	PUNCT
ejpam-5567	148	9	for	for	SCONJ
ejpam-5567	148	10	each	each	DET
ejpam-5567	148	11	e	e	PROPN
ejpam-5567	148	12	∈	∈	PROPN
ejpam-5567	148	13	a.	a.	NOUN
ejpam-5567	148	14	symbolically	symbolically	ADV
ejpam-5567	148	15	,	,	PUNCT
ejpam-5567	148	16	it	it	PRON
ejpam-5567	148	17	is	be	AUX
ejpam-5567	148	18	denoted	denote	VERB
ejpam-5567	148	19	as	as	ADP
ejpam-5567	148	20	:	:	PUNCT
ejpam-5567	148	21	(	(	PUNCT
ejpam-5567	148	22	f	f	X
ejpam-5567	148	23	,	,	PUNCT
ejpam-5567	148	24	a	a	PRON
ejpam-5567	148	25	)	)	PUNCT
ejpam-5567	148	26	⊆	⊆	NUM
ejpam-5567	148	27	(	(	PUNCT
ejpam-5567	148	28	g	g	NOUN
ejpam-5567	148	29	,	,	PUNCT
ejpam-5567	148	30	b	b	NOUN
ejpam-5567	148	31	)	)	PUNCT
ejpam-5567	148	32	(	(	PUNCT
ejpam-5567	148	33	f	f	X
ejpam-5567	148	34	,	,	PUNCT
ejpam-5567	148	35	a	a	PRON
ejpam-5567	148	36	)	)	PUNCT
ejpam-5567	148	37	is	be	AUX
ejpam-5567	148	38	called	call	VERB
ejpam-5567	148	39	a	a	DET
ejpam-5567	148	40	ternary	ternary	ADJ
ejpam-5567	148	41	soft	soft	ADJ
ejpam-5567	148	42	superset	superset	NOUN
ejpam-5567	148	43	of	of	ADP
ejpam-5567	148	44	(	(	PUNCT
ejpam-5567	148	45	g	g	PROPN
ejpam-5567	148	46	,	,	PUNCT
ejpam-5567	148	47	b	b	NOUN
ejpam-5567	148	48	)	)	PUNCT
ejpam-5567	148	49	if	if	SCONJ
ejpam-5567	148	50	(	(	PUNCT
ejpam-5567	148	51	g	g	NOUN
ejpam-5567	148	52	,	,	PUNCT
ejpam-5567	148	53	b	b	NOUN
ejpam-5567	148	54	)	)	PUNCT
ejpam-5567	148	55	is	be	AUX
ejpam-5567	148	56	a	a	DET
ejpam-5567	148	57	ternary	ternary	ADJ
ejpam-5567	148	58	soft	soft	ADJ
ejpam-5567	148	59	subset	subset	NOUN
ejpam-5567	148	60	of	of	ADP
ejpam-5567	148	61	(	(	PUNCT
ejpam-5567	148	62	f	f	X
ejpam-5567	148	63	,	,	PUNCT
ejpam-5567	148	64	a	a	PRON
ejpam-5567	148	65	)	)	PUNCT
ejpam-5567	148	66	.	.	PUNCT
ejpam-5567	149	1	symbolically	symbolically	ADV
ejpam-5567	149	2	,	,	PUNCT
ejpam-5567	149	3	it	it	PRON
ejpam-5567	149	4	is	be	AUX
ejpam-5567	149	5	denoted	denote	VERB
ejpam-5567	149	6	as	as	ADP
ejpam-5567	149	7	:	:	PUNCT
ejpam-5567	149	8	(	(	PUNCT
ejpam-5567	149	9	f	f	X
ejpam-5567	149	10	,	,	PUNCT
ejpam-5567	149	11	a	a	PRON
ejpam-5567	149	12	)	)	PUNCT
ejpam-5567	149	13	⊇	⊇	NOUN
ejpam-5567	149	14	(	(	PUNCT
ejpam-5567	149	15	g	g	PROPN
ejpam-5567	149	16	,	,	PUNCT
ejpam-5567	149	17	b	b	NOUN
ejpam-5567	149	18	)	)	PUNCT
ejpam-5567	149	19	example	example	NOUN
ejpam-5567	149	20	2	2	NUM
ejpam-5567	149	21	.	.	PUNCT
ejpam-5567	149	22	let	let	VERB
ejpam-5567	149	23	u1	u1	NOUN
ejpam-5567	149	24	=	=	SYM
ejpam-5567	149	25	{	{	PUNCT
ejpam-5567	149	26	p1	p1	PROPN
ejpam-5567	149	27	,	,	PUNCT
ejpam-5567	149	28	p2	p2	NOUN
ejpam-5567	149	29	,	,	PUNCT
ejpam-5567	149	30	p3	p3	NOUN
ejpam-5567	149	31	,	,	PUNCT
ejpam-5567	149	32	p4	p4	ADJ
ejpam-5567	149	33	,	,	PUNCT
ejpam-5567	149	34	p5	p5	PROPN
ejpam-5567	149	35	}	}	PUNCT
ejpam-5567	149	36	,	,	PUNCT
ejpam-5567	149	37	u2	u2	NOUN
ejpam-5567	149	38	=	=	SYM
ejpam-5567	149	39	{	{	PUNCT
ejpam-5567	149	40	d1	d1	PROPN
ejpam-5567	149	41	,	,	PUNCT
ejpam-5567	149	42	d2	d2	PROPN
ejpam-5567	149	43	,	,	PUNCT
ejpam-5567	149	44	d3	d3	PROPN
ejpam-5567	149	45	,	,	PUNCT
ejpam-5567	149	46	d4	d4	PROPN
ejpam-5567	149	47	,	,	PUNCT
ejpam-5567	149	48	d5	d5	NOUN
ejpam-5567	149	49	}	}	PUNCT
ejpam-5567	149	50	,	,	PUNCT
ejpam-5567	149	51	u3	u3	NOUN
ejpam-5567	149	52	=	=	SYM
ejpam-5567	149	53	{	{	PUNCT
ejpam-5567	149	54	j1	j1	PROPN
ejpam-5567	149	55	,	,	PUNCT
ejpam-5567	149	56	j2	j2	PROPN
ejpam-5567	149	57	,	,	PUNCT
ejpam-5567	149	58	j3	j3	PROPN
ejpam-5567	149	59	,	,	PUNCT
ejpam-5567	149	60	j4	j4	PROPN
ejpam-5567	149	61	,	,	PUNCT
ejpam-5567	149	62	j5	j5	PROPN
ejpam-5567	149	63	}	}	PUNCT
ejpam-5567	149	64	,	,	PUNCT
ejpam-5567	149	65	and	and	CCONJ
ejpam-5567	149	66	e	e	X
ejpam-5567	149	67	=	=	SYM
ejpam-5567	149	68	{	{	PUNCT
ejpam-5567	149	69	e1	e1	PROPN
ejpam-5567	149	70	,	,	PUNCT
ejpam-5567	149	71	e2	e2	PROPN
ejpam-5567	149	72	,	,	PUNCT
ejpam-5567	149	73	e3	e3	NOUN
ejpam-5567	149	74	,	,	PUNCT
ejpam-5567	149	75	e4	e4	PROPN
ejpam-5567	149	76	,	,	PUNCT
ejpam-5567	149	77	e5	e5	PROPN
ejpam-5567	149	78	}	}	PUNCT
ejpam-5567	149	79	.	.	PUNCT
ejpam-5567	150	1	let	let	VERB
ejpam-5567	150	2	a	a	PRON
ejpam-5567	150	3	=	=	SYM
ejpam-5567	150	4	{	{	PUNCT
ejpam-5567	150	5	e1	e1	PROPN
ejpam-5567	150	6	,	,	PUNCT
ejpam-5567	150	7	e2	e2	PROPN
ejpam-5567	150	8	,	,	PUNCT
ejpam-5567	150	9	e3	e3	NOUN
ejpam-5567	150	10	}	}	PUNCT
ejpam-5567	150	11	⊆	⊆	NUM
ejpam-5567	150	12	e	e	NOUN
ejpam-5567	150	13	and	and	CCONJ
ejpam-5567	150	14	b	b	X
ejpam-5567	150	15	=	=	SYM
ejpam-5567	150	16	{	{	PUNCT
ejpam-5567	150	17	e1	e1	PROPN
ejpam-5567	150	18	,	,	PUNCT
ejpam-5567	150	19	e2	e2	PROPN
ejpam-5567	150	20	,	,	PUNCT
ejpam-5567	150	21	e3	e3	NOUN
ejpam-5567	150	22	,	,	PUNCT
ejpam-5567	150	23	e4	e4	PROPN
ejpam-5567	150	24	}	}	PUNCT
ejpam-5567	150	25	⊆	⊆	NUM
ejpam-5567	150	26	e.	e.	PROPN
ejpam-5567	150	27	(	(	PUNCT
ejpam-5567	150	28	f	f	PROPN
ejpam-5567	150	29	,	,	PUNCT
ejpam-5567	150	30	a	a	PRON
ejpam-5567	150	31	)	)	PUNCT
ejpam-5567	150	32	and	and	CCONJ
ejpam-5567	150	33	(	(	PUNCT
ejpam-5567	150	34	g	g	NOUN
ejpam-5567	150	35	,	,	PUNCT
ejpam-5567	150	36	b	b	NOUN
ejpam-5567	150	37	)	)	PUNCT
ejpam-5567	150	38	are	be	AUX
ejpam-5567	150	39	two	two	NUM
ejpam-5567	150	40	ternary	ternary	ADJ
ejpam-5567	150	41	soft	soft	ADJ
ejpam-5567	150	42	subsets	subset	NOUN
ejpam-5567	150	43	over	over	ADP
ejpam-5567	150	44	u1	u1	NOUN
ejpam-5567	150	45	,	,	PUNCT
ejpam-5567	150	46	u2	u2	NOUN
ejpam-5567	150	47	,	,	PUNCT
ejpam-5567	150	48	u3	u3	NOUN
ejpam-5567	150	49	,	,	PUNCT
ejpam-5567	150	50	defined	define	VERB
ejpam-5567	150	51	as	as	SCONJ
ejpam-5567	150	52	follows	follow	VERB
ejpam-5567	150	53	:	:	PUNCT
ejpam-5567	150	54	(	(	PUNCT
ejpam-5567	150	55	f	f	X
ejpam-5567	150	56	,	,	PUNCT
ejpam-5567	150	57	a	a	PRON
ejpam-5567	150	58	)	)	PUNCT
ejpam-5567	151	1	=	=	SYM
ejpam-5567	151	2	{	{	PUNCT
ejpam-5567	151	3	(	(	PUNCT
ejpam-5567	151	4	e1	e1	PROPN
ejpam-5567	151	5	,	,	PUNCT
ejpam-5567	151	6	(	(	PUNCT
ejpam-5567	151	7	{	{	PUNCT
ejpam-5567	151	8	p1	p1	NOUN
ejpam-5567	151	9	,	,	PUNCT
ejpam-5567	151	10	p2	p2	PROPN
ejpam-5567	151	11	}	}	PUNCT
ejpam-5567	151	12	,	,	PUNCT
ejpam-5567	151	13	{	{	PUNCT
ejpam-5567	151	14	d1	d1	NOUN
ejpam-5567	151	15	}	}	PUNCT
ejpam-5567	151	16	,	,	PUNCT
ejpam-5567	151	17	{	{	PUNCT
ejpam-5567	151	18	s1	s1	NOUN
ejpam-5567	151	19	}	}	PUNCT
ejpam-5567	151	20	)	)	PUNCT
ejpam-5567	151	21	)	)	PUNCT
ejpam-5567	151	22	,	,	PUNCT
ejpam-5567	151	23	(	(	PUNCT
ejpam-5567	151	24	e2	e2	PROPN
ejpam-5567	151	25	,	,	PUNCT
ejpam-5567	151	26	(	(	PUNCT
ejpam-5567	151	27	{	{	PUNCT
ejpam-5567	151	28	p3	p3	NOUN
ejpam-5567	151	29	}	}	PUNCT
ejpam-5567	151	30	,	,	PUNCT
ejpam-5567	151	31	{	{	PUNCT
ejpam-5567	151	32	d3	d3	PROPN
ejpam-5567	151	33	,	,	PUNCT
ejpam-5567	151	34	d4	d4	PROPN
ejpam-5567	151	35	}	}	PUNCT
ejpam-5567	151	36	,	,	PUNCT
ejpam-5567	151	37	{	{	PUNCT
ejpam-5567	151	38	s3	s3	PROPN
ejpam-5567	151	39	,	,	PUNCT
ejpam-5567	151	40	s4	s4	PROPN
ejpam-5567	151	41	}	}	PUNCT
ejpam-5567	151	42	)	)	PUNCT
ejpam-5567	151	43	)	)	PUNCT
ejpam-5567	151	44	,	,	PUNCT
ejpam-5567	151	45	(	(	PUNCT
ejpam-5567	151	46	e3	e3	NOUN
ejpam-5567	151	47	,	,	PUNCT
ejpam-5567	151	48	(	(	PUNCT
ejpam-5567	151	49	{	{	PUNCT
ejpam-5567	151	50	p1	p1	NOUN
ejpam-5567	151	51	,	,	PUNCT
ejpam-5567	151	52	p4	p4	ADJ
ejpam-5567	151	53	}	}	PUNCT
ejpam-5567	151	54	,	,	PUNCT
ejpam-5567	151	55	{	{	PUNCT
ejpam-5567	151	56	d1	d1	NOUN
ejpam-5567	151	57	,	,	PUNCT
ejpam-5567	151	58	d2	d2	PROPN
ejpam-5567	151	59	}	}	PUNCT
ejpam-5567	151	60	,	,	PUNCT
ejpam-5567	151	61	{	{	PUNCT
ejpam-5567	151	62	j1	j1	PROPN
ejpam-5567	151	63	,	,	PUNCT
ejpam-5567	151	64	j2	j2	PROPN
ejpam-5567	151	65	}	}	PUNCT
ejpam-5567	151	66	)	)	PUNCT
ejpam-5567	151	67	)	)	PUNCT
ejpam-5567	151	68	}	}	PUNCT
ejpam-5567	151	69	(	(	PUNCT
ejpam-5567	151	70	g	g	NOUN
ejpam-5567	151	71	,	,	PUNCT
ejpam-5567	151	72	b	b	NOUN
ejpam-5567	151	73	)	)	PUNCT
ejpam-5567	151	74	=	=	SYM
ejpam-5567	151	75	{	{	PUNCT
ejpam-5567	151	76	(	(	PUNCT
ejpam-5567	151	77	e1	e1	PROPN
ejpam-5567	151	78	,	,	PUNCT
ejpam-5567	151	79	(	(	PUNCT
ejpam-5567	151	80	{	{	PUNCT
ejpam-5567	151	81	p1	p1	NOUN
ejpam-5567	151	82	,	,	PUNCT
ejpam-5567	151	83	p2	p2	NOUN
ejpam-5567	151	84	,	,	PUNCT
ejpam-5567	151	85	p3	p3	PROPN
ejpam-5567	151	86	}	}	PUNCT
ejpam-5567	151	87	,	,	PUNCT
ejpam-5567	151	88	{	{	PUNCT
ejpam-5567	151	89	d1	d1	NOUN
ejpam-5567	151	90	}	}	PUNCT
ejpam-5567	151	91	,	,	PUNCT
ejpam-5567	151	92	{	{	PUNCT
ejpam-5567	151	93	v1	v1	NOUN
ejpam-5567	151	94	}	}	PUNCT
ejpam-5567	151	95	)	)	PUNCT
ejpam-5567	151	96	)	)	PUNCT
ejpam-5567	151	97	,	,	PUNCT
ejpam-5567	151	98	(	(	PUNCT
ejpam-5567	151	99	e2	e2	PROPN
ejpam-5567	151	100	,	,	PUNCT
ejpam-5567	151	101	(	(	PUNCT
ejpam-5567	151	102	{	{	PUNCT
ejpam-5567	151	103	p1	p1	NOUN
ejpam-5567	151	104	,	,	PUNCT
ejpam-5567	151	105	p3	p3	PROPN
ejpam-5567	151	106	}	}	PUNCT
ejpam-5567	151	107	,	,	PUNCT
ejpam-5567	151	108	{	{	PUNCT
ejpam-5567	151	109	d3	d3	PROPN
ejpam-5567	151	110	,	,	PUNCT
ejpam-5567	151	111	d4	d4	PROPN
ejpam-5567	151	112	,	,	PUNCT
ejpam-5567	151	113	d5	d5	NOUN
ejpam-5567	151	114	}	}	PUNCT
ejpam-5567	151	115	,	,	PUNCT
ejpam-5567	151	116	{	{	PUNCT
ejpam-5567	151	117	j3	j3	PROPN
ejpam-5567	151	118	,	,	PUNCT
ejpam-5567	151	119	j4	j4	PROPN
ejpam-5567	151	120	,	,	PUNCT
ejpam-5567	151	121	j5	j5	PROPN
ejpam-5567	151	122	}	}	PUNCT
ejpam-5567	151	123	)	)	PUNCT
ejpam-5567	151	124	)	)	PUNCT
ejpam-5567	151	125	,	,	PUNCT
ejpam-5567	151	126	(	(	PUNCT
ejpam-5567	151	127	e3	e3	NOUN
ejpam-5567	151	128	,	,	PUNCT
ejpam-5567	151	129	(	(	PUNCT
ejpam-5567	151	130	{	{	PUNCT
ejpam-5567	151	131	p1	p1	PROPN
ejpam-5567	151	132	,	,	PUNCT
ejpam-5567	151	133	p3	p3	PROPN
ejpam-5567	151	134	,	,	PUNCT
ejpam-5567	151	135	p4	p4	ADJ
ejpam-5567	151	136	}	}	PUNCT
ejpam-5567	151	137	,	,	PUNCT
ejpam-5567	151	138	u2	u2	NOUN
ejpam-5567	151	139	,	,	PUNCT
ejpam-5567	151	140	u3	u3	NOUN
ejpam-5567	151	141	)	)	PUNCT
ejpam-5567	151	142	)	)	PUNCT
ejpam-5567	151	143	,	,	PUNCT
ejpam-5567	151	144	(	(	PUNCT
ejpam-5567	151	145	e4	e4	PROPN
ejpam-5567	151	146	,	,	PUNCT
ejpam-5567	151	147	(	(	PUNCT
ejpam-5567	151	148	u1	u1	NOUN
ejpam-5567	151	149	,	,	PUNCT
ejpam-5567	151	150	u2	u2	NOUN
ejpam-5567	151	151	,	,	PUNCT
ejpam-5567	151	152	u3	u3	NOUN
ejpam-5567	151	153	)	)	PUNCT
ejpam-5567	151	154	)	)	PUNCT
ejpam-5567	151	155	}	}	PUNCT
ejpam-5567	151	156	therefore	therefore	ADV
ejpam-5567	151	157	,	,	PUNCT
ejpam-5567	151	158	(	(	PUNCT
ejpam-5567	151	159	f	f	X
ejpam-5567	151	160	,	,	PUNCT
ejpam-5567	151	161	a	a	PRON
ejpam-5567	151	162	)	)	PUNCT
ejpam-5567	151	163	⊆	⊆	NUM
ejpam-5567	151	164	(	(	PUNCT
ejpam-5567	151	165	g	g	NOUN
ejpam-5567	151	166	,	,	PUNCT
ejpam-5567	151	167	b	b	NOUN
ejpam-5567	151	168	)	)	PUNCT
ejpam-5567	151	169	.	.	PUNCT
ejpam-5567	152	1	definition	definition	NOUN
ejpam-5567	152	2	15	15	NUM
ejpam-5567	152	3	.	.	PUNCT
ejpam-5567	153	1	let	let	VERB
ejpam-5567	153	2	(	(	PUNCT
ejpam-5567	153	3	f	f	X
ejpam-5567	153	4	,	,	PUNCT
ejpam-5567	153	5	a	a	PRON
ejpam-5567	153	6	)	)	PUNCT
ejpam-5567	153	7	and	and	CCONJ
ejpam-5567	153	8	(	(	PUNCT
ejpam-5567	153	9	g	g	NOUN
ejpam-5567	153	10	,	,	PUNCT
ejpam-5567	153	11	b	b	NOUN
ejpam-5567	153	12	)	)	PUNCT
ejpam-5567	153	13	be	be	AUX
ejpam-5567	153	14	two	two	NUM
ejpam-5567	153	15	ternary	ternary	ADJ
ejpam-5567	153	16	soft	soft	ADJ
ejpam-5567	153	17	sets	set	NOUN
ejpam-5567	153	18	over	over	ADP
ejpam-5567	153	19	the	the	DET
ejpam-5567	153	20	common	common	ADJ
ejpam-5567	153	21	universes	universe	NOUN
ejpam-5567	153	22	u1	u1	NOUN
ejpam-5567	153	23	,	,	PUNCT
ejpam-5567	153	24	u2	u2	NOUN
ejpam-5567	153	25	,	,	PUNCT
ejpam-5567	153	26	u3	u3	NOUN
ejpam-5567	153	27	.	.	PUNCT
ejpam-5567	154	1	(	(	PUNCT
ejpam-5567	154	2	f	f	X
ejpam-5567	154	3	,	,	PUNCT
ejpam-5567	154	4	a	a	PRON
ejpam-5567	154	5	)	)	PUNCT
ejpam-5567	154	6	is	be	AUX
ejpam-5567	154	7	called	call	VERB
ejpam-5567	154	8	a	a	DET
ejpam-5567	154	9	ternary	ternary	ADJ
ejpam-5567	154	10	soft	soft	ADJ
ejpam-5567	154	11	equal	equal	ADJ
ejpam-5567	154	12	of	of	ADP
ejpam-5567	154	13	(	(	PUNCT
ejpam-5567	154	14	g	g	PROPN
ejpam-5567	154	15	,	,	PUNCT
ejpam-5567	154	16	b	b	NOUN
ejpam-5567	154	17	)	)	PUNCT
ejpam-5567	154	18	if	if	SCONJ
ejpam-5567	154	19	(	(	PUNCT
ejpam-5567	154	20	f	f	X
ejpam-5567	154	21	,	,	PUNCT
ejpam-5567	154	22	a	a	PRON
ejpam-5567	154	23	)	)	PUNCT
ejpam-5567	154	24	is	be	AUX
ejpam-5567	154	25	a	a	DET
ejpam-5567	154	26	ternary	ternary	ADJ
ejpam-5567	154	27	soft	soft	ADJ
ejpam-5567	154	28	subset	subset	NOUN
ejpam-5567	154	29	of	of	ADP
ejpam-5567	154	30	(	(	PUNCT
ejpam-5567	154	31	g	g	PROPN
ejpam-5567	154	32	,	,	PUNCT
ejpam-5567	154	33	b	b	NOUN
ejpam-5567	154	34	)	)	PUNCT
ejpam-5567	154	35	and	and	CCONJ
ejpam-5567	154	36	(	(	PUNCT
ejpam-5567	154	37	g	g	NOUN
ejpam-5567	154	38	,	,	PUNCT
ejpam-5567	154	39	b	b	NOUN
ejpam-5567	154	40	)	)	PUNCT
ejpam-5567	154	41	is	be	AUX
ejpam-5567	154	42	a	a	DET
ejpam-5567	154	43	ternary	ternary	ADJ
ejpam-5567	154	44	soft	soft	ADJ
ejpam-5567	154	45	subset	subset	NOUN
ejpam-5567	154	46	of	of	ADP
ejpam-5567	154	47	(	(	PUNCT
ejpam-5567	154	48	f	f	X
ejpam-5567	154	49	,	,	PUNCT
ejpam-5567	154	50	a	a	PRON
ejpam-5567	154	51	)	)	PUNCT
ejpam-5567	154	52	.	.	PUNCT
ejpam-5567	155	1	symbolically	symbolically	ADV
ejpam-5567	155	2	,	,	PUNCT
ejpam-5567	155	3	it	it	PRON
ejpam-5567	155	4	is	be	AUX
ejpam-5567	155	5	denoted	denote	VERB
ejpam-5567	155	6	as	as	ADP
ejpam-5567	155	7	:	:	PUNCT
ejpam-5567	155	8	(	(	PUNCT
ejpam-5567	155	9	f	f	X
ejpam-5567	155	10	,	,	PUNCT
ejpam-5567	155	11	a	a	PRON
ejpam-5567	155	12	)	)	PUNCT
ejpam-5567	155	13	=	=	SYM
ejpam-5567	155	14	(	(	PUNCT
ejpam-5567	155	15	g	g	PROPN
ejpam-5567	155	16	,	,	PUNCT
ejpam-5567	155	17	b	b	NOUN
ejpam-5567	155	18	)	)	PUNCT
ejpam-5567	155	19	definition	definition	NOUN
ejpam-5567	155	20	16	16	NUM
ejpam-5567	155	21	.	.	PUNCT
ejpam-5567	156	1	the	the	DET
ejpam-5567	156	2	complement	complement	NOUN
ejpam-5567	156	3	of	of	ADP
ejpam-5567	156	4	ternary	ternary	ADJ
ejpam-5567	156	5	soft	soft	ADJ
ejpam-5567	156	6	sets	set	NOUN
ejpam-5567	156	7	(	(	PUNCT
ejpam-5567	156	8	f	f	X
ejpam-5567	156	9	,	,	PUNCT
ejpam-5567	156	10	a	a	PRON
ejpam-5567	156	11	)	)	PUNCT
ejpam-5567	156	12	is	be	AUX
ejpam-5567	156	13	denoted	denote	VERB
ejpam-5567	156	14	by	by	ADP
ejpam-5567	156	15	(	(	PUNCT
ejpam-5567	156	16	f	f	X
ejpam-5567	156	17	,	,	PUNCT
ejpam-5567	156	18	a)c	a)c	PUNCT
ejpam-5567	156	19	and	and	CCONJ
ejpam-5567	156	20	is	be	AUX
ejpam-5567	156	21	defined	define	VERB
ejpam-5567	156	22	as	as	ADP
ejpam-5567	156	23	:	:	PUNCT
ejpam-5567	156	24	(	(	PUNCT
ejpam-5567	156	25	f	f	X
ejpam-5567	156	26	,	,	PUNCT
ejpam-5567	156	27	a)c	a)c	X
ejpam-5567	156	28	=	=	PUNCT
ejpam-5567	157	1	(	(	PUNCT
ejpam-5567	157	2	f	f	NOUN
ejpam-5567	157	3	c	c	PROPN
ejpam-5567	157	4	,	,	PUNCT
ejpam-5567	157	5	.	.	PUNCT
ejpam-5567	158	1	a	a	X
ejpam-5567	158	2	)	)	PUNCT
ejpam-5567	158	3	where	where	SCONJ
ejpam-5567	158	4	f	f	PROPN
ejpam-5567	158	5	c	c	X
ejpam-5567	158	6	:	:	PUNCT
ejpam-5567	158	7	.	.	PUNCT
ejpam-5567	159	1	a	a	DET
ejpam-5567	159	2	→	→	SYM
ejpam-5567	159	3	p(u1)×	p(u1)×	NOUN
ejpam-5567	159	4	p(u2)×	p(u2)×	NOUN
ejpam-5567	159	5	p(u3	p(u3	NOUN
ejpam-5567	159	6	)	)	PUNCT
ejpam-5567	159	7	is	be	AUX
ejpam-5567	159	8	the	the	DET
ejpam-5567	159	9	mapping	mapping	NOUN
ejpam-5567	159	10	given	give	VERB
ejpam-5567	159	11	by	by	ADP
ejpam-5567	159	12	:	:	PUNCT
ejpam-5567	159	13	f	f	PROPN
ejpam-5567	159	14	c(e	c(e	PROPN
ejpam-5567	159	15	)	)	PUNCT
ejpam-5567	159	16	=	=	PUNCT
ejpam-5567	159	17	(	(	PUNCT
ejpam-5567	159	18	u1	u1	NOUN
ejpam-5567	159	19	−x	−x	NOUN
ejpam-5567	159	20	,	,	PUNCT
ejpam-5567	159	21	u2	u2	PROPN
ejpam-5567	159	22	−	−	PROPN
ejpam-5567	159	23	y	y	PROPN
ejpam-5567	159	24	,	,	PUNCT
ejpam-5567	159	25	u3	u3	PROPN
ejpam-5567	159	26	−	−	PROPN
ejpam-5567	159	27	z̧	z̧	PROPN
ejpam-5567	159	28	)	)	PUNCT
ejpam-5567	159	29	such	such	ADJ
ejpam-5567	159	30	that	that	SCONJ
ejpam-5567	159	31	f	f	PROPN
ejpam-5567	159	32	(	(	PUNCT
ejpam-5567	159	33	e	e	NOUN
ejpam-5567	159	34	)	)	PUNCT
ejpam-5567	159	35	=	=	SYM
ejpam-5567	159	36	(	(	PUNCT
ejpam-5567	159	37	x	x	X
ejpam-5567	159	38	,	,	PUNCT
ejpam-5567	159	39	y	y	PROPN
ejpam-5567	159	40	,	,	PUNCT
ejpam-5567	159	41	z̧	z̧	NOUN
ejpam-5567	159	42	)	)	PUNCT
ejpam-5567	159	43	.	.	PUNCT
ejpam-5567	160	1	clearly	clearly	ADV
ejpam-5567	160	2	,	,	PUNCT
ejpam-5567	160	3	(	(	PUNCT
ejpam-5567	160	4	(	(	PUNCT
ejpam-5567	160	5	f	f	X
ejpam-5567	160	6	,	,	PUNCT
ejpam-5567	160	7	a)c)c	a)c)c	NOUN
ejpam-5567	160	8	=	=	PUNCT
ejpam-5567	160	9	(	(	PUNCT
ejpam-5567	160	10	f	f	X
ejpam-5567	160	11	,	,	PUNCT
ejpam-5567	160	12	a	a	PRON
ejpam-5567	160	13	)	)	PUNCT
ejpam-5567	160	14	m.	m.	NOUN
ejpam-5567	160	15	nawaz	nawaz	NOUN
ejpam-5567	160	16	et	et	PROPN
ejpam-5567	160	17	al	al	PROPN
ejpam-5567	160	18	.	.	PUNCT
ejpam-5567	160	19	/	/	SYM
ejpam-5567	160	20	eur	eur	PROPN
ejpam-5567	160	21	.	.	PUNCT
ejpam-5567	161	1	j.	j.	PROPN
ejpam-5567	161	2	pure	pure	PROPN
ejpam-5567	161	3	appl	appl	PROPN
ejpam-5567	161	4	.	.	PROPN
ejpam-5567	161	5	math	math	PROPN
ejpam-5567	161	6	,	,	PUNCT
ejpam-5567	161	7	18	18	NUM
ejpam-5567	161	8	(	(	PUNCT
ejpam-5567	161	9	1	1	NUM
ejpam-5567	161	10	)	)	PUNCT
ejpam-5567	161	11	(	(	PUNCT
ejpam-5567	161	12	2025	2025	NUM
ejpam-5567	161	13	)	)	PUNCT
ejpam-5567	161	14	,	,	PUNCT
ejpam-5567	161	15	5567	5567	NUM
ejpam-5567	161	16	8	8	NUM
ejpam-5567	161	17	of	of	ADP
ejpam-5567	161	18	45	45	NUM
ejpam-5567	161	19	example	example	NOUN
ejpam-5567	161	20	3	3	NUM
ejpam-5567	161	21	.	.	X
ejpam-5567	161	22	consider	consider	VERB
ejpam-5567	161	23	example	example	NOUN
ejpam-5567	161	24	1	1	NUM
ejpam-5567	161	25	.	.	PUNCT
ejpam-5567	162	1	then	then	ADV
ejpam-5567	162	2	(	(	PUNCT
ejpam-5567	162	3	f	f	X
ejpam-5567	162	4	,	,	PUNCT
ejpam-5567	162	5	a)c	a)c	PUNCT
ejpam-5567	162	6	=	=	PUNCT
ejpam-5567	163	1			PUNCT
ejpam-5567	163	2	not	not	PART
ejpam-5567	163	3	expensive	expensive	ADJ
ejpam-5567	163	4	paints	paint	NOUN
ejpam-5567	163	5	,	,	PUNCT
ejpam-5567	163	6	dresses	dress	NOUN
ejpam-5567	163	7	,	,	PUNCT
ejpam-5567	163	8	jackets	jacket	NOUN
ejpam-5567	163	9	:	:	PUNCT
ejpam-5567	163	10	rep.{{p1	rep.{{p1	ADJ
ejpam-5567	163	11	,	,	PUNCT
ejpam-5567	163	12	p2	p2	PROPN
ejpam-5567	163	13	}	}	PUNCT
ejpam-5567	163	14	,	,	PUNCT
ejpam-5567	163	15	{	{	PUNCT
ejpam-5567	163	16	d1	d1	NOUN
ejpam-5567	163	17	,	,	PUNCT
ejpam-5567	163	18	d3	d3	PROPN
ejpam-5567	163	19	}	}	PUNCT
ejpam-5567	163	20	,	,	PUNCT
ejpam-5567	163	21	{	{	PUNCT
ejpam-5567	163	22	j1	j1	PROPN
ejpam-5567	163	23	,	,	PUNCT
ejpam-5567	163	24	j3	j3	PROPN
ejpam-5567	163	25	}	}	PUNCT
ejpam-5567	163	26	}	}	PUNCT
ejpam-5567	163	27	not	not	PART
ejpam-5567	163	28	cheap	cheap	ADJ
ejpam-5567	163	29	paints	paint	NOUN
ejpam-5567	163	30	,	,	PUNCT
ejpam-5567	163	31	dresses	dress	NOUN
ejpam-5567	163	32	,	,	PUNCT
ejpam-5567	163	33	jackets	jacket	NOUN
ejpam-5567	163	34	:	:	PUNCT
ejpam-5567	163	35	rep.{{p3	rep.{{p3	NOUN
ejpam-5567	163	36	,	,	PUNCT
ejpam-5567	163	37	p4	p4	ADJ
ejpam-5567	163	38	}	}	PUNCT
ejpam-5567	163	39	,	,	PUNCT
ejpam-5567	163	40	{	{	PUNCT
ejpam-5567	163	41	d2	d2	PROPN
ejpam-5567	163	42	,	,	PUNCT
ejpam-5567	163	43	d4	d4	PROPN
ejpam-5567	163	44	,	,	PUNCT
ejpam-5567	163	45	d5	d5	NOUN
ejpam-5567	163	46	}	}	PUNCT
ejpam-5567	163	47	,	,	PUNCT
ejpam-5567	163	48	{	{	PUNCT
ejpam-5567	163	49	j2	j2	PROPN
ejpam-5567	163	50	,	,	PUNCT
ejpam-5567	163	51	j4	j4	PROPN
ejpam-5567	163	52	,	,	PUNCT
ejpam-5567	163	53	j5	j5	PROPN
ejpam-5567	163	54	}	}	PUNCT
ejpam-5567	163	55	}	}	PUNCT
ejpam-5567	163	56	not	not	PART
ejpam-5567	163	57	sports	sport	NOUN
ejpam-5567	163	58	paints	paint	NOUN
ejpam-5567	163	59	,	,	PUNCT
ejpam-5567	163	60	dresses	dress	NOUN
ejpam-5567	163	61	,	,	PUNCT
ejpam-5567	163	62	jackets	jacket	NOUN
ejpam-5567	163	63	:	:	PUNCT
ejpam-5567	163	64	rep.{{p2	rep.{{p2	PROPN
ejpam-5567	163	65	,	,	PUNCT
ejpam-5567	163	66	p3	p3	PROPN
ejpam-5567	163	67	,	,	PUNCT
ejpam-5567	163	68	p5	p5	PROPN
ejpam-5567	163	69	}	}	PUNCT
ejpam-5567	163	70	,	,	PUNCT
ejpam-5567	163	71	{	{	PUNCT
ejpam-5567	163	72	d1	d1	NOUN
ejpam-5567	163	73	,	,	PUNCT
ejpam-5567	163	74	d5	d5	NOUN
ejpam-5567	163	75	}	}	PUNCT
ejpam-5567	163	76	,	,	PUNCT
ejpam-5567	163	77	{	{	PUNCT
ejpam-5567	163	78	j1	j1	PROPN
ejpam-5567	163	79	,	,	PUNCT
ejpam-5567	163	80	j5	j5	PROPN
ejpam-5567	163	81	}	}	PUNCT
ejpam-5567	163	82	}	}	PUNCT
ejpam-5567	163	83	not	not	PART
ejpam-5567	163	84	classic	classic	ADJ
ejpam-5567	163	85	paints	paint	NOUN
ejpam-5567	163	86	,	,	PUNCT
ejpam-5567	163	87	dresses	dress	NOUN
ejpam-5567	163	88	,	,	PUNCT
ejpam-5567	163	89	jackets	jacket	NOUN
ejpam-5567	163	90	:	:	PUNCT
ejpam-5567	163	91	rep.{{p1	rep.{{p1	ADJ
ejpam-5567	163	92	,	,	PUNCT
ejpam-5567	163	93	p5	p5	ADJ
ejpam-5567	163	94	}	}	PUNCT
ejpam-5567	163	95	,	,	PUNCT
ejpam-5567	163	96	{	{	PUNCT
ejpam-5567	163	97	d2	d2	PROPN
ejpam-5567	163	98	,	,	PUNCT
ejpam-5567	163	99	d3	d3	PROPN
ejpam-5567	163	100	}	}	PUNCT
ejpam-5567	163	101	,	,	PUNCT
ejpam-5567	163	102	{	{	PUNCT
ejpam-5567	163	103	j2	j2	PROPN
ejpam-5567	163	104	,	,	PUNCT
ejpam-5567	163	105	j3	j3	PROPN
ejpam-5567	163	106	}	}	PUNCT
ejpam-5567	163	107	}	}	PUNCT
ejpam-5567	163	108	.	.	PUNCT
ejpam-5567	164	1			ADJ
ejpam-5567	164	2	.	.	PUNCT
ejpam-5567	165	1	definition	definition	NOUN
ejpam-5567	165	2	17	17	NUM
ejpam-5567	165	3	.	.	PUNCT
ejpam-5567	166	1	a	a	DET
ejpam-5567	166	2	ternary	ternary	ADJ
ejpam-5567	166	3	soft	soft	ADJ
ejpam-5567	166	4	set	set	NOUN
ejpam-5567	166	5	(	(	PUNCT
ejpam-5567	166	6	f	f	X
ejpam-5567	166	7	,	,	PUNCT
ejpam-5567	166	8	a	a	PRON
ejpam-5567	166	9	)	)	PUNCT
ejpam-5567	166	10	over	over	ADP
ejpam-5567	166	11	u1	u1	NOUN
ejpam-5567	166	12	,	,	PUNCT
ejpam-5567	166	13	u2	u2	PROPN
ejpam-5567	166	14	,	,	PUNCT
ejpam-5567	166	15	u3	u3	NOUN
ejpam-5567	166	16	is	be	AUX
ejpam-5567	166	17	called	call	VERB
ejpam-5567	166	18	a	a	DET
ejpam-5567	166	19	ternary	ternary	ADJ
ejpam-5567	166	20	null	null	ADJ
ejpam-5567	166	21	soft	soft	ADJ
ejpam-5567	166	22	set	set	NOUN
ejpam-5567	166	23	,	,	PUNCT
ejpam-5567	166	24	denoted	denote	VERB
ejpam-5567	166	25	by	by	ADP
ejpam-5567	166	26	∅̃	∅̃	NOUN
ejpam-5567	166	27	,	,	PUNCT
ejpam-5567	166	28	if	if	SCONJ
ejpam-5567	166	29	f	f	PROPN
ejpam-5567	166	30	(	(	PUNCT
ejpam-5567	166	31	e	e	NOUN
ejpam-5567	166	32	)	)	PUNCT
ejpam-5567	166	33	=	=	SYM
ejpam-5567	166	34	(	(	PUNCT
ejpam-5567	166	35	∅	∅	NOUN
ejpam-5567	166	36	,	,	PUNCT
ejpam-5567	166	37	∅	∅	NOUN
ejpam-5567	166	38	,	,	PUNCT
ejpam-5567	166	39	∅	∅	NOUN
ejpam-5567	166	40	)	)	PUNCT
ejpam-5567	166	41	for	for	ADP
ejpam-5567	166	42	each	each	DET
ejpam-5567	166	43	e	e	PROPN
ejpam-5567	166	44	∈	∈	PROPN
ejpam-5567	166	45	a.	a.	NOUN
ejpam-5567	166	46	example	example	NOUN
ejpam-5567	166	47	4	4	NUM
ejpam-5567	166	48	.	.	PUNCT
ejpam-5567	166	49	consider	consider	VERB
ejpam-5567	166	50	the	the	DET
ejpam-5567	166	51	following	follow	VERB
ejpam-5567	166	52	sets	set	NOUN
ejpam-5567	166	53	:	:	PUNCT
ejpam-5567	166	54	u1	u1	NOUN
ejpam-5567	166	55	=	=	SYM
ejpam-5567	166	56	{	{	PUNCT
ejpam-5567	166	57	j1	j1	PROPN
ejpam-5567	166	58	,	,	PUNCT
ejpam-5567	166	59	j2	j2	PROPN
ejpam-5567	166	60	,	,	PUNCT
ejpam-5567	166	61	j3	j3	PROPN
ejpam-5567	166	62	}	}	PUNCT
ejpam-5567	166	63	is	be	AUX
ejpam-5567	166	64	the	the	DET
ejpam-5567	166	65	set	set	NOUN
ejpam-5567	166	66	of	of	ADP
ejpam-5567	166	67	jeans	jean	NOUN
ejpam-5567	166	68	,	,	PUNCT
ejpam-5567	166	69	u2	u2	PROPN
ejpam-5567	166	70	=	=	SYM
ejpam-5567	166	71	{	{	PUNCT
ejpam-5567	166	72	p1	p1	NOUN
ejpam-5567	166	73	,	,	PUNCT
ejpam-5567	166	74	p2	p2	NOUN
ejpam-5567	166	75	,	,	PUNCT
ejpam-5567	166	76	p3	p3	NOUN
ejpam-5567	166	77	,	,	PUNCT
ejpam-5567	166	78	p4	p4	ADJ
ejpam-5567	166	79	}	}	PUNCT
ejpam-5567	166	80	is	be	AUX
ejpam-5567	166	81	the	the	DET
ejpam-5567	166	82	set	set	NOUN
ejpam-5567	166	83	of	of	ADP
ejpam-5567	166	84	paints	paint	NOUN
ejpam-5567	166	85	,	,	PUNCT
ejpam-5567	166	86	u3	u3	NOUN
ejpam-5567	166	87	=	=	SYM
ejpam-5567	166	88	{	{	PUNCT
ejpam-5567	166	89	g1	g1	PROPN
ejpam-5567	166	90	,	,	PUNCT
ejpam-5567	166	91	g2	g2	PROPN
ejpam-5567	166	92	,	,	PUNCT
ejpam-5567	166	93	g3	g3	NOUN
ejpam-5567	166	94	,	,	PUNCT
ejpam-5567	166	95	g4	g4	NOUN
ejpam-5567	166	96	}	}	PUNCT
ejpam-5567	166	97	is	be	AUX
ejpam-5567	166	98	the	the	DET
ejpam-5567	166	99	set	set	NOUN
ejpam-5567	166	100	of	of	ADP
ejpam-5567	166	101	glasses	glass	NOUN
ejpam-5567	166	102	.	.	PUNCT
ejpam-5567	167	1	(	(	PUNCT
ejpam-5567	167	2	f	f	X
ejpam-5567	167	3	,	,	PUNCT
ejpam-5567	167	4	a	a	PRON
ejpam-5567	167	5	)	)	PUNCT
ejpam-5567	167	6	=	=	SYM
ejpam-5567	167	7	{	{	PUNCT
ejpam-5567	167	8	e1	e1	NOUN
ejpam-5567	167	9	=	=	SYM
ejpam-5567	167	10	expensive	expensive	ADJ
ejpam-5567	167	11	,	,	PUNCT
ejpam-5567	167	12	e2	e2	PROPN
ejpam-5567	167	13	=	=	SYM
ejpam-5567	167	14	smart	smart	ADJ
ejpam-5567	167	15	,	,	PUNCT
ejpam-5567	167	16	e3	e3	NOUN
ejpam-5567	167	17	=	=	SYM
ejpam-5567	167	18	beautiful	beautiful	ADJ
ejpam-5567	167	19	}	}	PUNCT
ejpam-5567	167	20	,	,	PUNCT
ejpam-5567	167	21	where	where	SCONJ
ejpam-5567	167	22	a	a	PRON
ejpam-5567	167	23	is	be	AUX
ejpam-5567	167	24	the	the	DET
ejpam-5567	167	25	set	set	NOUN
ejpam-5567	167	26	of	of	ADP
ejpam-5567	167	27	parameters	parameter	NOUN
ejpam-5567	167	28	.	.	PUNCT
ejpam-5567	168	1	let	let	AUX
ejpam-5567	168	2	(	(	PUNCT
ejpam-5567	168	3	f	f	X
ejpam-5567	168	4	,	,	PUNCT
ejpam-5567	168	5	a	a	PRON
ejpam-5567	168	6	)	)	PUNCT
ejpam-5567	168	7	be	be	AUX
ejpam-5567	168	8	a	a	DET
ejpam-5567	168	9	ternary	ternary	ADJ
ejpam-5567	168	10	soft	soft	ADJ
ejpam-5567	168	11	set	set	NOUN
ejpam-5567	168	12	as	as	SCONJ
ejpam-5567	168	13	follows	follow	VERB
ejpam-5567	168	14	:	:	PUNCT
ejpam-5567	168	15	(	(	PUNCT
ejpam-5567	168	16	f	f	X
ejpam-5567	168	17	,	,	PUNCT
ejpam-5567	168	18	a	a	PRON
ejpam-5567	168	19	)	)	PUNCT
ejpam-5567	168	20	=	=	SYM
ejpam-5567	168	21	{	{	PUNCT
ejpam-5567	168	22	(	(	PUNCT
ejpam-5567	168	23	e1	e1	PROPN
ejpam-5567	168	24	,	,	PUNCT
ejpam-5567	168	25	(	(	PUNCT
ejpam-5567	168	26	∅	∅	NOUN
ejpam-5567	168	27	,	,	PUNCT
ejpam-5567	168	28	∅	∅	NOUN
ejpam-5567	168	29	,	,	PUNCT
ejpam-5567	168	30	∅	∅	NOUN
ejpam-5567	168	31	)	)	PUNCT
ejpam-5567	168	32	)	)	PUNCT
ejpam-5567	168	33	,	,	PUNCT
ejpam-5567	168	34	(	(	PUNCT
ejpam-5567	168	35	e2	e2	PROPN
ejpam-5567	168	36	,	,	PUNCT
ejpam-5567	168	37	(	(	PUNCT
ejpam-5567	168	38	∅	∅	NOUN
ejpam-5567	168	39	,	,	PUNCT
ejpam-5567	168	40	∅	∅	NOUN
ejpam-5567	168	41	,	,	PUNCT
ejpam-5567	168	42	∅	∅	NOUN
ejpam-5567	168	43	)	)	PUNCT
ejpam-5567	168	44	)	)	PUNCT
ejpam-5567	168	45	,	,	PUNCT
ejpam-5567	168	46	(	(	PUNCT
ejpam-5567	168	47	e3	e3	NOUN
ejpam-5567	168	48	,	,	PUNCT
ejpam-5567	168	49	(	(	PUNCT
ejpam-5567	168	50	∅	∅	NOUN
ejpam-5567	168	51	,	,	PUNCT
ejpam-5567	168	52	∅	∅	NOUN
ejpam-5567	168	53	,	,	PUNCT
ejpam-5567	168	54	∅	∅	NOUN
ejpam-5567	168	55	)	)	PUNCT
ejpam-5567	168	56	)	)	PUNCT
ejpam-5567	168	57	}	}	PUNCT
ejpam-5567	168	58	.	.	PUNCT
ejpam-5567	169	1	therefore	therefore	ADV
ejpam-5567	169	2	,	,	PUNCT
ejpam-5567	169	3	(	(	PUNCT
ejpam-5567	169	4	f	f	X
ejpam-5567	169	5	,	,	PUNCT
ejpam-5567	169	6	a	a	PRON
ejpam-5567	169	7	)	)	PUNCT
ejpam-5567	169	8	is	be	AUX
ejpam-5567	169	9	a	a	DET
ejpam-5567	169	10	ternary	ternary	ADJ
ejpam-5567	169	11	null	null	ADJ
ejpam-5567	169	12	soft	soft	ADJ
ejpam-5567	169	13	set	set	NOUN
ejpam-5567	169	14	.	.	PUNCT
ejpam-5567	170	1	definition	definition	NOUN
ejpam-5567	170	2	18	18	NUM
ejpam-5567	170	3	.	.	PUNCT
ejpam-5567	171	1	a	a	DET
ejpam-5567	171	2	ternary	ternary	ADJ
ejpam-5567	171	3	soft	soft	ADJ
ejpam-5567	171	4	set	set	NOUN
ejpam-5567	171	5	(	(	PUNCT
ejpam-5567	171	6	f	f	X
ejpam-5567	171	7	,	,	PUNCT
ejpam-5567	171	8	a	a	PRON
ejpam-5567	171	9	)	)	PUNCT
ejpam-5567	171	10	over	over	ADP
ejpam-5567	171	11	u1	u1	NOUN
ejpam-5567	171	12	,	,	PUNCT
ejpam-5567	171	13	u2	u2	PROPN
ejpam-5567	171	14	,	,	PUNCT
ejpam-5567	171	15	u3	u3	NOUN
ejpam-5567	171	16	is	be	AUX
ejpam-5567	171	17	called	call	VERB
ejpam-5567	171	18	a	a	DET
ejpam-5567	171	19	ternary	ternary	ADJ
ejpam-5567	171	20	absolute	absolute	ADJ
ejpam-5567	171	21	soft	soft	ADJ
ejpam-5567	171	22	set	set	NOUN
ejpam-5567	171	23	,	,	PUNCT
ejpam-5567	171	24	denoted	denote	VERB
ejpam-5567	171	25	by	by	ADP
ejpam-5567	171	26	ã	ã	PROPN
ejpam-5567	171	27	,	,	PUNCT
ejpam-5567	171	28	if	if	SCONJ
ejpam-5567	171	29	f	f	PROPN
ejpam-5567	171	30	(	(	PUNCT
ejpam-5567	171	31	e	e	NOUN
ejpam-5567	171	32	)	)	PUNCT
ejpam-5567	171	33	=	=	SYM
ejpam-5567	171	34	(	(	PUNCT
ejpam-5567	171	35	u1	u1	PROPN
ejpam-5567	171	36	,	,	PUNCT
ejpam-5567	171	37	u2	u2	NOUN
ejpam-5567	171	38	,	,	PUNCT
ejpam-5567	171	39	u3	u3	NOUN
ejpam-5567	171	40	)	)	PUNCT
ejpam-5567	171	41	for	for	ADP
ejpam-5567	171	42	each	each	DET
ejpam-5567	171	43	e	e	PROPN
ejpam-5567	171	44	∈	∈	PROPN
ejpam-5567	171	45	a.	a.	NOUN
ejpam-5567	171	46	example	example	NOUN
ejpam-5567	171	47	5	5	NUM
ejpam-5567	171	48	.	.	PUNCT
ejpam-5567	172	1	let	let	VERB
ejpam-5567	172	2	u1	u1	NOUN
ejpam-5567	172	3	,	,	PUNCT
ejpam-5567	172	4	u2	u2	NOUN
ejpam-5567	172	5	,	,	PUNCT
ejpam-5567	172	6	u3	u3	NOUN
ejpam-5567	172	7	and	and	CCONJ
ejpam-5567	172	8	a	a	DET
ejpam-5567	172	9	be	be	NOUN
ejpam-5567	172	10	sets	set	NOUN
ejpam-5567	172	11	as	as	ADP
ejpam-5567	172	12	in	in	ADP
ejpam-5567	172	13	example	example	NOUN
ejpam-5567	172	14	4	4	X
ejpam-5567	172	15	.	.	PUNCT
ejpam-5567	173	1	let	let	AUX
ejpam-5567	173	2	(	(	PUNCT
ejpam-5567	173	3	f	f	X
ejpam-5567	173	4	,	,	PUNCT
ejpam-5567	173	5	a	a	PRON
ejpam-5567	173	6	)	)	PUNCT
ejpam-5567	173	7	be	be	AUX
ejpam-5567	173	8	a	a	DET
ejpam-5567	173	9	ternary	ternary	ADJ
ejpam-5567	173	10	soft	soft	ADJ
ejpam-5567	173	11	set	set	NOUN
ejpam-5567	173	12	as	as	SCONJ
ejpam-5567	173	13	follows	follow	VERB
ejpam-5567	173	14	:	:	PUNCT
ejpam-5567	173	15	(	(	PUNCT
ejpam-5567	173	16	f	f	X
ejpam-5567	173	17	,	,	PUNCT
ejpam-5567	173	18	a	a	PRON
ejpam-5567	173	19	)	)	PUNCT
ejpam-5567	173	20	=	=	SYM
ejpam-5567	173	21	{	{	PUNCT
ejpam-5567	173	22	(	(	PUNCT
ejpam-5567	173	23	e1	e1	PROPN
ejpam-5567	173	24	,	,	PUNCT
ejpam-5567	173	25	(	(	PUNCT
ejpam-5567	173	26	u1	u1	NOUN
ejpam-5567	173	27	,	,	PUNCT
ejpam-5567	173	28	u2	u2	NOUN
ejpam-5567	173	29	,	,	PUNCT
ejpam-5567	173	30	u3	u3	NOUN
ejpam-5567	173	31	)	)	PUNCT
ejpam-5567	173	32	)	)	PUNCT
ejpam-5567	173	33	,	,	PUNCT
ejpam-5567	173	34	(	(	PUNCT
ejpam-5567	173	35	e2	e2	PROPN
ejpam-5567	173	36	,	,	PUNCT
ejpam-5567	173	37	(	(	PUNCT
ejpam-5567	173	38	u1	u1	NOUN
ejpam-5567	173	39	,	,	PUNCT
ejpam-5567	173	40	u2	u2	NOUN
ejpam-5567	173	41	,	,	PUNCT
ejpam-5567	173	42	u3	u3	NOUN
ejpam-5567	173	43	)	)	PUNCT
ejpam-5567	173	44	)	)	PUNCT
ejpam-5567	173	45	,	,	PUNCT
ejpam-5567	173	46	(	(	PUNCT
ejpam-5567	173	47	e3	e3	NOUN
ejpam-5567	173	48	,	,	PUNCT
ejpam-5567	173	49	(	(	PUNCT
ejpam-5567	173	50	u1	u1	NOUN
ejpam-5567	173	51	,	,	PUNCT
ejpam-5567	173	52	u2	u2	NOUN
ejpam-5567	173	53	,	,	PUNCT
ejpam-5567	173	54	u3	u3	NOUN
ejpam-5567	173	55	)	)	PUNCT
ejpam-5567	173	56	)	)	PUNCT
ejpam-5567	173	57	}	}	PUNCT
ejpam-5567	173	58	.	.	PUNCT
ejpam-5567	174	1	therefore	therefore	ADV
ejpam-5567	174	2	,	,	PUNCT
ejpam-5567	174	3	(	(	PUNCT
ejpam-5567	174	4	f	f	X
ejpam-5567	174	5	,	,	PUNCT
ejpam-5567	174	6	a	a	PRON
ejpam-5567	174	7	)	)	PUNCT
ejpam-5567	174	8	is	be	AUX
ejpam-5567	174	9	a	a	DET
ejpam-5567	174	10	ternary	ternary	ADJ
ejpam-5567	174	11	absolute	absolute	ADJ
ejpam-5567	174	12	soft	soft	ADJ
ejpam-5567	174	13	set	set	NOUN
ejpam-5567	174	14	.	.	PUNCT
ejpam-5567	175	1	clearly	clearly	ADV
ejpam-5567	175	2	,	,	PUNCT
ejpam-5567	175	3	(	(	PUNCT
ejpam-5567	175	4	˜̃a)c	˜̃a)c	X
ejpam-5567	175	5	=	=	NOUN
ejpam-5567	175	6	˜̃∅	˜̃∅	ADJ
ejpam-5567	175	7	and	and	CCONJ
ejpam-5567	175	8	(	(	PUNCT
ejpam-5567	175	9	˜̃∅)c	˜̃∅)c	ADJ
ejpam-5567	175	10	=	=	ADJ
ejpam-5567	175	11	˜̃a	˜̃a	PROPN
ejpam-5567	175	12	.	.	PUNCT
ejpam-5567	176	1	definition	definition	NOUN
ejpam-5567	176	2	19	19	NUM
ejpam-5567	176	3	.	.	PUNCT
ejpam-5567	177	1	the	the	DET
ejpam-5567	177	2	union	union	NOUN
ejpam-5567	177	3	of	of	ADP
ejpam-5567	177	4	two	two	NUM
ejpam-5567	177	5	ternary	ternary	ADJ
ejpam-5567	177	6	soft	soft	ADJ
ejpam-5567	177	7	sets	set	NOUN
ejpam-5567	177	8	(	(	PUNCT
ejpam-5567	177	9	f	f	X
ejpam-5567	177	10	,	,	PUNCT
ejpam-5567	177	11	a	a	PRON
ejpam-5567	177	12	)	)	PUNCT
ejpam-5567	177	13	and	and	CCONJ
ejpam-5567	177	14	(	(	PUNCT
ejpam-5567	177	15	g	g	NOUN
ejpam-5567	177	16	,	,	PUNCT
ejpam-5567	177	17	b	b	NOUN
ejpam-5567	177	18	)	)	PUNCT
ejpam-5567	177	19	over	over	ADP
ejpam-5567	177	20	the	the	DET
ejpam-5567	177	21	common	common	ADJ
ejpam-5567	177	22	u1	u1	NOUN
ejpam-5567	177	23	,	,	PUNCT
ejpam-5567	177	24	u2	u2	PROPN
ejpam-5567	177	25	,	,	PUNCT
ejpam-5567	177	26	u3	u3	NOUN
ejpam-5567	177	27	is	be	AUX
ejpam-5567	177	28	the	the	DET
ejpam-5567	177	29	ternary	ternary	ADJ
ejpam-5567	177	30	soft	soft	ADJ
ejpam-5567	177	31	set	set	NOUN
ejpam-5567	177	32	(	(	PUNCT
ejpam-5567	177	33	h	h	NOUN
ejpam-5567	177	34	,	,	PUNCT
ejpam-5567	177	35	c	c	NOUN
ejpam-5567	177	36	)	)	PUNCT
ejpam-5567	177	37	,	,	PUNCT
ejpam-5567	177	38	where	where	SCONJ
ejpam-5567	177	39	c	c	NOUN
ejpam-5567	177	40	=	=	PUNCT
ejpam-5567	177	41	a	a	PRON
ejpam-5567	177	42	∪b	∪b	NOUN
ejpam-5567	177	43	,	,	PUNCT
ejpam-5567	177	44	and	and	CCONJ
ejpam-5567	177	45	for	for	ADP
ejpam-5567	177	46	each	each	DET
ejpam-5567	177	47	e	e	PROPN
ejpam-5567	177	48	∈	∈	PROPN
ejpam-5567	177	49	c	c	X
ejpam-5567	177	50	,	,	PUNCT
ejpam-5567	177	51	h(e	h(e	PROPN
ejpam-5567	177	52	)	)	PUNCT
ejpam-5567	178	1	=	=	SYM
ejpam-5567	178	2			PROPN
ejpam-5567	178	3	(	(	PUNCT
ejpam-5567	178	4	x1	x1	PROPN
ejpam-5567	178	5	,	,	PUNCT
ejpam-5567	178	6	y1	y1	PROPN
ejpam-5567	178	7	,	,	PUNCT
ejpam-5567	178	8	z̧1),e	z̧1),e	PROPN
ejpam-5567	178	9	∈	∈	PROPN
ejpam-5567	178	10	a−b	a−b	NOUN
ejpam-5567	178	11	(	(	PUNCT
ejpam-5567	178	12	x2	x2	PROPN
ejpam-5567	178	13	,	,	PUNCT
ejpam-5567	178	14	y2	y2	PROPN
ejpam-5567	178	15	,	,	PUNCT
ejpam-5567	178	16	z̧2),e	z̧2),e	PROPN
ejpam-5567	178	17	∈	∈	PROPN
ejpam-5567	178	18	b	b	X
ejpam-5567	178	19	−a	−a	NOUN
ejpam-5567	178	20	(	(	PUNCT
ejpam-5567	178	21	x1	x1	PROPN
ejpam-5567	178	22	∪x2	∪x2	ADJ
ejpam-5567	178	23	,	,	PUNCT
ejpam-5567	178	24	y1	y1	NOUN
ejpam-5567	178	25	∪	∪	NOUN
ejpam-5567	178	26	y2	y2	NOUN
ejpam-5567	178	27	,	,	PUNCT
ejpam-5567	178	28	z̧1	z̧1	X
ejpam-5567	178	29	∪	∪	VERB
ejpam-5567	178	30	z̧2),e	z̧2),e	PROPN
ejpam-5567	178	31	∈	∈	PROPN
ejpam-5567	178	32	a	a	DET
ejpam-5567	178	33	∩b	∩b	NOUN
ejpam-5567	178	34			ADP
ejpam-5567	178	35	such	such	ADJ
ejpam-5567	178	36	that	that	SCONJ
ejpam-5567	178	37	f	f	PROPN
ejpam-5567	178	38	(	(	PUNCT
ejpam-5567	178	39	e	e	NOUN
ejpam-5567	178	40	)	)	PUNCT
ejpam-5567	178	41	=	=	SYM
ejpam-5567	178	42	(	(	PUNCT
ejpam-5567	178	43	x1	x1	PROPN
ejpam-5567	178	44	,	,	PUNCT
ejpam-5567	178	45	y1	y1	NOUN
ejpam-5567	178	46	,	,	PUNCT
ejpam-5567	178	47	z̧1	z̧1	X
ejpam-5567	178	48	)	)	PUNCT
ejpam-5567	178	49	for	for	ADP
ejpam-5567	178	50	each	each	DET
ejpam-5567	178	51	e	e	PROPN
ejpam-5567	178	52	∈	∈	PROPN
ejpam-5567	178	53	a	a	PRON
ejpam-5567	178	54	and	and	CCONJ
ejpam-5567	178	55	g(e	g(e	PROPN
ejpam-5567	178	56	)	)	PUNCT
ejpam-5567	178	57	=	=	PRON
ejpam-5567	178	58	(	(	PUNCT
ejpam-5567	178	59	x2	x2	PROPN
ejpam-5567	178	60	,	,	PUNCT
ejpam-5567	178	61	y2	y2	PROPN
ejpam-5567	178	62	,	,	PUNCT
ejpam-5567	178	63	z̧2	z̧2	NOUN
ejpam-5567	178	64	)	)	PUNCT
ejpam-5567	178	65	for	for	ADP
ejpam-5567	178	66	each	each	DET
ejpam-5567	178	67	e	e	PROPN
ejpam-5567	178	68	∈	∈	PROPN
ejpam-5567	178	69	b.	b.	NOUN
ejpam-5567	178	70	we	we	PRON
ejpam-5567	178	71	denote	denote	VERB
ejpam-5567	178	72	it	it	PRON
ejpam-5567	178	73	as	as	ADP
ejpam-5567	178	74	(	(	PUNCT
ejpam-5567	178	75	f	f	X
ejpam-5567	178	76	,	,	PUNCT
ejpam-5567	178	77	a)˜̃∪(g	a)˜̃∪(g	PROPN
ejpam-5567	178	78	,	,	PUNCT
ejpam-5567	178	79	b	b	NOUN
ejpam-5567	178	80	)	)	PUNCT
ejpam-5567	178	81	=	=	SYM
ejpam-5567	178	82	(	(	PUNCT
ejpam-5567	178	83	h	h	NOUN
ejpam-5567	178	84	,	,	PUNCT
ejpam-5567	178	85	c	c	NOUN
ejpam-5567	178	86	)	)	PUNCT
ejpam-5567	178	87	.	.	PUNCT
ejpam-5567	179	1	m.	m.	NOUN
ejpam-5567	179	2	nawaz	nawaz	PROPN
ejpam-5567	179	3	et	et	PROPN
ejpam-5567	179	4	al	al	PROPN
ejpam-5567	179	5	.	.	PUNCT
ejpam-5567	179	6	/	/	SYM
ejpam-5567	179	7	eur	eur	PROPN
ejpam-5567	179	8	.	.	PUNCT
ejpam-5567	180	1	j.	j.	PROPN
ejpam-5567	180	2	pure	pure	PROPN
ejpam-5567	180	3	appl	appl	PROPN
ejpam-5567	180	4	.	.	PROPN
ejpam-5567	180	5	math	math	PROPN
ejpam-5567	180	6	,	,	PUNCT
ejpam-5567	180	7	18	18	NUM
ejpam-5567	180	8	(	(	PUNCT
ejpam-5567	180	9	1	1	NUM
ejpam-5567	180	10	)	)	PUNCT
ejpam-5567	180	11	(	(	PUNCT
ejpam-5567	180	12	2025	2025	NUM
ejpam-5567	180	13	)	)	PUNCT
ejpam-5567	180	14	,	,	PUNCT
ejpam-5567	180	15	5567	5567	NUM
ejpam-5567	180	16	9	9	NUM
ejpam-5567	180	17	of	of	ADP
ejpam-5567	180	18	45	45	NUM
ejpam-5567	180	19	example	example	NOUN
ejpam-5567	180	20	6	6	NUM
ejpam-5567	180	21	.	.	PUNCT
ejpam-5567	180	22	consider	consider	VERB
ejpam-5567	180	23	the	the	DET
ejpam-5567	180	24	following	follow	VERB
ejpam-5567	180	25	sets	set	NOUN
ejpam-5567	180	26	:	:	PUNCT
ejpam-5567	180	27	u1	u1	NOUN
ejpam-5567	180	28	=	=	SYM
ejpam-5567	180	29	{	{	PUNCT
ejpam-5567	180	30	s1	s1	NOUN
ejpam-5567	180	31	,	,	PUNCT
ejpam-5567	180	32	s2	s2	PROPN
ejpam-5567	180	33	,	,	PUNCT
ejpam-5567	180	34	s3	s3	PROPN
ejpam-5567	180	35	,	,	PUNCT
ejpam-5567	180	36	s4	s4	PROPN
ejpam-5567	180	37	,	,	PUNCT
ejpam-5567	180	38	s5	s5	PROPN
ejpam-5567	180	39	,	,	PUNCT
ejpam-5567	180	40	s6	s6	PROPN
ejpam-5567	180	41	}	}	PUNCT
ejpam-5567	180	42	is	be	AUX
ejpam-5567	180	43	the	the	DET
ejpam-5567	180	44	set	set	NOUN
ejpam-5567	180	45	of	of	ADP
ejpam-5567	180	46	shoes	shoe	NOUN
ejpam-5567	180	47	,	,	PUNCT
ejpam-5567	180	48	u2	u2	PROPN
ejpam-5567	180	49	=	=	SYM
ejpam-5567	180	50	{	{	PUNCT
ejpam-5567	180	51	p1	p1	NOUN
ejpam-5567	180	52	,	,	PUNCT
ejpam-5567	180	53	p2	p2	NOUN
ejpam-5567	180	54	,	,	PUNCT
ejpam-5567	180	55	p3	p3	NOUN
ejpam-5567	180	56	,	,	PUNCT
ejpam-5567	180	57	p4	p4	ADJ
ejpam-5567	180	58	}	}	PUNCT
ejpam-5567	180	59	is	be	AUX
ejpam-5567	180	60	the	the	DET
ejpam-5567	180	61	set	set	NOUN
ejpam-5567	180	62	of	of	ADP
ejpam-5567	180	63	purses	purse	NOUN
ejpam-5567	180	64	,	,	PUNCT
ejpam-5567	180	65	u3	u3	NOUN
ejpam-5567	180	66	=	=	SYM
ejpam-5567	180	67	{	{	PUNCT
ejpam-5567	180	68	l1	l1	PROPN
ejpam-5567	180	69	,	,	PUNCT
ejpam-5567	180	70	l2	l2	NOUN
ejpam-5567	180	71	,	,	PUNCT
ejpam-5567	180	72	l3	l3	PROPN
ejpam-5567	180	73	,	,	PUNCT
ejpam-5567	180	74	l4	l4	PROPN
ejpam-5567	180	75	}	}	PUNCT
ejpam-5567	180	76	is	be	AUX
ejpam-5567	180	77	the	the	DET
ejpam-5567	180	78	set	set	NOUN
ejpam-5567	180	79	of	of	ADP
ejpam-5567	180	80	lipsticks	lipstick	NOUN
ejpam-5567	180	81	,	,	PUNCT
ejpam-5567	180	82	e	e	X
ejpam-5567	180	83	=	=	PRON
ejpam-5567	180	84	{	{	PUNCT
ejpam-5567	180	85	e1	e1	NOUN
ejpam-5567	180	86	=	=	SYM
ejpam-5567	180	87	expensive	expensive	ADJ
ejpam-5567	180	88	,	,	PUNCT
ejpam-5567	180	89	e2	e2	PROPN
ejpam-5567	180	90	=	=	SYM
ejpam-5567	180	91	cheap	cheap	ADJ
ejpam-5567	180	92	,	,	PUNCT
ejpam-5567	180	93	e3	e3	NOUN
ejpam-5567	180	94	=	=	SYM
ejpam-5567	180	95	black	black	ADJ
ejpam-5567	180	96	,	,	PUNCT
ejpam-5567	180	97	e4	e4	PROPN
ejpam-5567	180	98	=	=	PUNCT
ejpam-5567	180	99	brown	brown	PROPN
ejpam-5567	180	100	,	,	PUNCT
ejpam-5567	180	101	e5	e5	NOUN
ejpam-5567	180	102	=	=	SYM
ejpam-5567	180	103	leather	leather	NOUN
ejpam-5567	180	104	,	,	PUNCT
ejpam-5567	180	105	e6	e6	PROPN
ejpam-5567	180	106	=	=	SYM
ejpam-5567	180	107	sport	sport	PROPN
ejpam-5567	180	108	,	,	PUNCT
ejpam-5567	180	109	e7	e7	PROPN
ejpam-5567	180	110	=	=	SYM
ejpam-5567	180	111	classic	classic	NOUN
ejpam-5567	180	112	,	,	PUNCT
ejpam-5567	180	113	e8	e8	PROPN
ejpam-5567	180	114	=	=	SYM
ejpam-5567	180	115	smart	smart	ADJ
ejpam-5567	180	116	}	}	PUNCT
ejpam-5567	180	117	.	.	PUNCT
ejpam-5567	181	1	let	let	VERB
ejpam-5567	181	2	a	a	DET
ejpam-5567	181	3	=	=	SYM
ejpam-5567	181	4	{	{	PUNCT
ejpam-5567	181	5	e1	e1	PROPN
ejpam-5567	181	6	,	,	PUNCT
ejpam-5567	181	7	e3	e3	NOUN
ejpam-5567	181	8	,	,	PUNCT
ejpam-5567	181	9	e5	e5	NOUN
ejpam-5567	181	10	}	}	PUNCT
ejpam-5567	181	11	⊆	⊆	NUM
ejpam-5567	181	12	e	e	NOUN
ejpam-5567	181	13	and	and	CCONJ
ejpam-5567	181	14	b	b	X
ejpam-5567	181	15	=	=	NOUN
ejpam-5567	181	16	{	{	PUNCT
ejpam-5567	181	17	e3	e3	NOUN
ejpam-5567	181	18	,	,	PUNCT
ejpam-5567	181	19	e4	e4	PROPN
ejpam-5567	181	20	,	,	PUNCT
ejpam-5567	181	21	e6	e6	PROPN
ejpam-5567	181	22	,	,	PUNCT
ejpam-5567	181	23	e8	e8	PROPN
ejpam-5567	181	24	}	}	PUNCT
ejpam-5567	181	25	⊆	⊆	NUM
ejpam-5567	181	26	e.	e.	PROPN
ejpam-5567	181	27	let	let	VERB
ejpam-5567	181	28	(	(	PUNCT
ejpam-5567	181	29	f	f	X
ejpam-5567	181	30	,	,	PUNCT
ejpam-5567	181	31	a	a	PRON
ejpam-5567	181	32	)	)	PUNCT
ejpam-5567	181	33	,	,	PUNCT
ejpam-5567	181	34	(	(	PUNCT
ejpam-5567	181	35	g	g	NOUN
ejpam-5567	181	36	,	,	PUNCT
ejpam-5567	181	37	b	b	NOUN
ejpam-5567	181	38	)	)	PUNCT
ejpam-5567	181	39	be	be	AUX
ejpam-5567	181	40	two	two	NUM
ejpam-5567	181	41	ternary	ternary	ADJ
ejpam-5567	181	42	soft	soft	ADJ
ejpam-5567	181	43	sets	set	NOUN
ejpam-5567	181	44	as	as	SCONJ
ejpam-5567	181	45	follows	follow	VERB
ejpam-5567	181	46	:	:	PUNCT
ejpam-5567	181	47	(	(	PUNCT
ejpam-5567	181	48	f	f	X
ejpam-5567	181	49	,	,	PUNCT
ejpam-5567	181	50	a	a	PRON
ejpam-5567	181	51	)	)	PUNCT
ejpam-5567	182	1	=	=	SYM
ejpam-5567	182	2	{	{	PUNCT
ejpam-5567	182	3	(	(	PUNCT
ejpam-5567	182	4	e1	e1	NOUN
ejpam-5567	182	5	,	,	PUNCT
ejpam-5567	182	6	{	{	PUNCT
ejpam-5567	182	7	s1	s1	NOUN
ejpam-5567	182	8	,	,	PUNCT
ejpam-5567	182	9	s2	s2	PROPN
ejpam-5567	182	10	}	}	PUNCT
ejpam-5567	182	11	,	,	PUNCT
ejpam-5567	182	12	{	{	PUNCT
ejpam-5567	182	13	p1	p1	NOUN
ejpam-5567	182	14	}	}	PUNCT
ejpam-5567	182	15	,	,	PUNCT
ejpam-5567	182	16	{	{	PUNCT
ejpam-5567	182	17	l1	l1	PROPN
ejpam-5567	182	18	}	}	PUNCT
ejpam-5567	182	19	)	)	PUNCT
ejpam-5567	182	20	,	,	PUNCT
ejpam-5567	182	21	(	(	PUNCT
ejpam-5567	182	22	e3	e3	NOUN
ejpam-5567	182	23	,	,	PUNCT
ejpam-5567	182	24	{	{	PUNCT
ejpam-5567	182	25	s4	s4	PROPN
ejpam-5567	182	26	,	,	PUNCT
ejpam-5567	182	27	s5	s5	PROPN
ejpam-5567	182	28	,	,	PUNCT
ejpam-5567	182	29	s6	s6	PROPN
ejpam-5567	182	30	}	}	PUNCT
ejpam-5567	182	31	,	,	PUNCT
ejpam-5567	182	32	{	{	PUNCT
ejpam-5567	182	33	p1	p1	NOUN
ejpam-5567	182	34	,	,	PUNCT
ejpam-5567	182	35	p3	p3	PROPN
ejpam-5567	182	36	}	}	PUNCT
ejpam-5567	182	37	,	,	PUNCT
ejpam-5567	182	38	{	{	PUNCT
ejpam-5567	182	39	l1	l1	PROPN
ejpam-5567	182	40	,	,	PUNCT
ejpam-5567	182	41	l3	l3	PROPN
ejpam-5567	182	42	}	}	PUNCT
ejpam-5567	182	43	)	)	PUNCT
ejpam-5567	182	44	,	,	PUNCT
ejpam-5567	182	45	(	(	PUNCT
ejpam-5567	182	46	e5	e5	INTJ
ejpam-5567	182	47	,	,	PUNCT
ejpam-5567	182	48	{	{	PUNCT
ejpam-5567	182	49	s2	s2	PROPN
ejpam-5567	182	50	,	,	PUNCT
ejpam-5567	182	51	s4	s4	PROPN
ejpam-5567	182	52	,	,	PUNCT
ejpam-5567	182	53	s6	s6	PROPN
ejpam-5567	182	54	}	}	PUNCT
ejpam-5567	182	55	,	,	PUNCT
ejpam-5567	182	56	{	{	PUNCT
ejpam-5567	182	57	p2	p2	NOUN
ejpam-5567	182	58	,	,	PUNCT
ejpam-5567	182	59	p4	p4	ADJ
ejpam-5567	182	60	}	}	PUNCT
ejpam-5567	182	61	,	,	PUNCT
ejpam-5567	182	62	{	{	PUNCT
ejpam-5567	182	63	l2	l2	NOUN
ejpam-5567	182	64	,	,	PUNCT
ejpam-5567	182	65	l4	l4	PROPN
ejpam-5567	182	66	}	}	PUNCT
ejpam-5567	182	67	)	)	PUNCT
ejpam-5567	182	68	}	}	PUNCT
ejpam-5567	182	69	.	.	PUNCT
ejpam-5567	183	1	(	(	PUNCT
ejpam-5567	183	2	g	g	NOUN
ejpam-5567	183	3	,	,	PUNCT
ejpam-5567	183	4	b	b	NOUN
ejpam-5567	183	5	)	)	PUNCT
ejpam-5567	183	6	=	=	SYM
ejpam-5567	183	7	{	{	PUNCT
ejpam-5567	183	8	(	(	PUNCT
ejpam-5567	183	9	e3	e3	NOUN
ejpam-5567	183	10	,	,	PUNCT
ejpam-5567	183	11	{	{	PUNCT
ejpam-5567	183	12	s4	s4	PROPN
ejpam-5567	183	13	,	,	PUNCT
ejpam-5567	183	14	s5	s5	PROPN
ejpam-5567	183	15	}	}	PUNCT
ejpam-5567	183	16	,	,	PUNCT
ejpam-5567	183	17	{	{	PUNCT
ejpam-5567	183	18	p1	p1	NOUN
ejpam-5567	183	19	,	,	PUNCT
ejpam-5567	183	20	p4	p4	ADJ
ejpam-5567	183	21	}	}	PUNCT
ejpam-5567	183	22	,	,	PUNCT
ejpam-5567	183	23	{	{	PUNCT
ejpam-5567	183	24	l1	l1	PROPN
ejpam-5567	183	25	,	,	PUNCT
ejpam-5567	183	26	l4	l4	PROPN
ejpam-5567	183	27	}	}	PUNCT
ejpam-5567	183	28	)	)	PUNCT
ejpam-5567	183	29	,	,	PUNCT
ejpam-5567	183	30	(	(	PUNCT
ejpam-5567	183	31	e4	e4	PROPN
ejpam-5567	183	32	,	,	PUNCT
ejpam-5567	183	33	{	{	PUNCT
ejpam-5567	183	34	s1	s1	NOUN
ejpam-5567	183	35	}	}	PUNCT
ejpam-5567	183	36	,	,	PUNCT
ejpam-5567	183	37	{	{	PUNCT
ejpam-5567	183	38	p2	p2	X
ejpam-5567	183	39	}	}	PUNCT
ejpam-5567	183	40	,	,	PUNCT
ejpam-5567	183	41	{	{	PUNCT
ejpam-5567	183	42	l2	l2	NOUN
ejpam-5567	183	43	}	}	PUNCT
ejpam-5567	183	44	)	)	PUNCT
ejpam-5567	183	45	,	,	PUNCT
ejpam-5567	183	46	(	(	PUNCT
ejpam-5567	183	47	e6	e6	PROPN
ejpam-5567	183	48	,	,	PUNCT
ejpam-5567	183	49	{	{	PUNCT
ejpam-5567	183	50	s1	s1	NOUN
ejpam-5567	183	51	,	,	PUNCT
ejpam-5567	183	52	s2	s2	PROPN
ejpam-5567	183	53	}	}	PUNCT
ejpam-5567	183	54	,	,	PUNCT
ejpam-5567	183	55	{	{	PUNCT
ejpam-5567	183	56	p4	p4	ADJ
ejpam-5567	183	57	}	}	PUNCT
ejpam-5567	183	58	,	,	PUNCT
ejpam-5567	183	59	{	{	PUNCT
ejpam-5567	183	60	l4	l4	PROPN
ejpam-5567	183	61	}	}	PUNCT
ejpam-5567	183	62	)	)	PUNCT
ejpam-5567	183	63	,	,	PUNCT
ejpam-5567	183	64	(	(	PUNCT
ejpam-5567	183	65	e8	e8	PROPN
ejpam-5567	183	66	,	,	PUNCT
ejpam-5567	183	67	{	{	PUNCT
ejpam-5567	183	68	s5	s5	PROPN
ejpam-5567	183	69	}	}	PUNCT
ejpam-5567	183	70	,	,	PUNCT
ejpam-5567	183	71	{	{	PUNCT
ejpam-5567	183	72	p1	p1	NOUN
ejpam-5567	183	73	}	}	PUNCT
ejpam-5567	183	74	,	,	PUNCT
ejpam-5567	183	75	{	{	PUNCT
ejpam-5567	183	76	l1	l1	PROPN
ejpam-5567	183	77	}	}	PUNCT
ejpam-5567	183	78	)	)	PUNCT
ejpam-5567	183	79	}	}	PUNCT
ejpam-5567	183	80	.	.	PUNCT
ejpam-5567	184	1	then	then	ADV
ejpam-5567	184	2	(	(	PUNCT
ejpam-5567	184	3	h	h	NOUN
ejpam-5567	184	4	,	,	PUNCT
ejpam-5567	184	5	c	c	NOUN
ejpam-5567	184	6	)	)	PUNCT
ejpam-5567	184	7	=	=	SYM
ejpam-5567	184	8	(	(	PUNCT
ejpam-5567	184	9	f	f	X
ejpam-5567	184	10	,	,	PUNCT
ejpam-5567	184	11	a)˜̃∪(g	a)˜̃∪(g	PROPN
ejpam-5567	184	12	,	,	PUNCT
ejpam-5567	184	13	b	b	NOUN
ejpam-5567	184	14	)	)	PUNCT
ejpam-5567	184	15	is	be	AUX
ejpam-5567	184	16	the	the	DET
ejpam-5567	184	17	ternary	ternary	ADJ
ejpam-5567	184	18	soft	soft	ADJ
ejpam-5567	184	19	set	set	NOUN
ejpam-5567	184	20	where	where	SCONJ
ejpam-5567	184	21	c	c	NOUN
ejpam-5567	184	22	=	=	SYM
ejpam-5567	184	23	a	a	PRON
ejpam-5567	184	24	∪b	∪b	X
ejpam-5567	184	25	.	.	PUNCT
ejpam-5567	185	1	(	(	PUNCT
ejpam-5567	185	2	h	h	NOUN
ejpam-5567	185	3	,	,	PUNCT
ejpam-5567	185	4	ć	ć	PROPN
ejpam-5567	185	5	)	)	PUNCT
ejpam-5567	185	6	=	=	SYM
ejpam-5567	186	1			PROPN
ejpam-5567	186	2	(	(	PUNCT
ejpam-5567	186	3	e1	e1	NOUN
ejpam-5567	186	4	,	,	PUNCT
ejpam-5567	186	5	{	{	PUNCT
ejpam-5567	186	6	s1	s1	NOUN
ejpam-5567	186	7	,	,	PUNCT
ejpam-5567	186	8	s2	s2	PROPN
ejpam-5567	186	9	}	}	PUNCT
ejpam-5567	186	10	,	,	PUNCT
ejpam-5567	186	11	{	{	PUNCT
ejpam-5567	186	12	p1	p1	NOUN
ejpam-5567	186	13	}	}	PUNCT
ejpam-5567	186	14	,	,	PUNCT
ejpam-5567	186	15	{	{	PUNCT
ejpam-5567	186	16	l1	l1	PROPN
ejpam-5567	186	17	}	}	PUNCT
ejpam-5567	186	18	)	)	PUNCT
ejpam-5567	186	19	,	,	PUNCT
ejpam-5567	186	20	(	(	PUNCT
ejpam-5567	186	21	e3	e3	NOUN
ejpam-5567	186	22	,	,	PUNCT
ejpam-5567	186	23	{	{	PUNCT
ejpam-5567	186	24	s4	s4	PROPN
ejpam-5567	186	25	,	,	PUNCT
ejpam-5567	186	26	s5	s5	PROPN
ejpam-5567	186	27	,	,	PUNCT
ejpam-5567	186	28	s6	s6	PROPN
ejpam-5567	186	29	}	}	PUNCT
ejpam-5567	186	30	,	,	PUNCT
ejpam-5567	186	31	{	{	PUNCT
ejpam-5567	186	32	p1	p1	NOUN
ejpam-5567	186	33	,	,	PUNCT
ejpam-5567	186	34	p3	p3	PROPN
ejpam-5567	186	35	,	,	PUNCT
ejpam-5567	186	36	p4	p4	ADJ
ejpam-5567	186	37	}	}	PUNCT
ejpam-5567	186	38	,	,	PUNCT
ejpam-5567	186	39	{	{	PUNCT
ejpam-5567	186	40	l1	l1	PROPN
ejpam-5567	186	41	,	,	PUNCT
ejpam-5567	186	42	l3	l3	PROPN
ejpam-5567	186	43	,	,	PUNCT
ejpam-5567	186	44	l4	l4	PROPN
ejpam-5567	186	45	}	}	PUNCT
ejpam-5567	186	46	)	)	PUNCT
ejpam-5567	186	47	,	,	PUNCT
ejpam-5567	186	48	(	(	PUNCT
ejpam-5567	186	49	e4	e4	PROPN
ejpam-5567	186	50	,	,	PUNCT
ejpam-5567	186	51	{	{	PUNCT
ejpam-5567	186	52	s1	s1	NOUN
ejpam-5567	186	53	}	}	PUNCT
ejpam-5567	186	54	,	,	PUNCT
ejpam-5567	186	55	{	{	PUNCT
ejpam-5567	186	56	p2	p2	X
ejpam-5567	186	57	}	}	PUNCT
ejpam-5567	186	58	,	,	PUNCT
ejpam-5567	186	59	{	{	PUNCT
ejpam-5567	186	60	l2	l2	NOUN
ejpam-5567	186	61	}	}	PUNCT
ejpam-5567	186	62	)	)	PUNCT
ejpam-5567	186	63	,	,	PUNCT
ejpam-5567	186	64	(	(	PUNCT
ejpam-5567	186	65	e5	e5	INTJ
ejpam-5567	186	66	,	,	PUNCT
ejpam-5567	186	67	{	{	PUNCT
ejpam-5567	186	68	s2	s2	PROPN
ejpam-5567	186	69	,	,	PUNCT
ejpam-5567	186	70	s4	s4	PROPN
ejpam-5567	186	71	,	,	PUNCT
ejpam-5567	186	72	s6	s6	PROPN
ejpam-5567	186	73	}	}	PUNCT
ejpam-5567	186	74	,	,	PUNCT
ejpam-5567	186	75	{	{	PUNCT
ejpam-5567	186	76	p2	p2	NOUN
ejpam-5567	186	77	,	,	PUNCT
ejpam-5567	186	78	p4	p4	ADJ
ejpam-5567	186	79	}	}	PUNCT
ejpam-5567	186	80	,	,	PUNCT
ejpam-5567	186	81	{	{	PUNCT
ejpam-5567	186	82	l2	l2	NOUN
ejpam-5567	186	83	,	,	PUNCT
ejpam-5567	186	84	l4	l4	PROPN
ejpam-5567	186	85	}	}	PUNCT
ejpam-5567	186	86	)	)	PUNCT
ejpam-5567	186	87	,	,	PUNCT
ejpam-5567	186	88	(	(	PUNCT
ejpam-5567	186	89	e6	e6	PROPN
ejpam-5567	186	90	,	,	PUNCT
ejpam-5567	186	91	{	{	PUNCT
ejpam-5567	186	92	s1	s1	NOUN
ejpam-5567	186	93	,	,	PUNCT
ejpam-5567	186	94	s2	s2	PROPN
ejpam-5567	186	95	}	}	PUNCT
ejpam-5567	186	96	,	,	PUNCT
ejpam-5567	186	97	{	{	PUNCT
ejpam-5567	186	98	p4	p4	ADJ
ejpam-5567	186	99	}	}	PUNCT
ejpam-5567	186	100	,	,	PUNCT
ejpam-5567	186	101	{	{	PUNCT
ejpam-5567	186	102	l4	l4	PROPN
ejpam-5567	186	103	}	}	PUNCT
ejpam-5567	186	104	)	)	PUNCT
ejpam-5567	186	105	,	,	PUNCT
ejpam-5567	186	106	(	(	PUNCT
ejpam-5567	186	107	e8	e8	PROPN
ejpam-5567	186	108	,	,	PUNCT
ejpam-5567	186	109	{	{	PUNCT
ejpam-5567	186	110	s5	s5	PROPN
ejpam-5567	186	111	}	}	PUNCT
ejpam-5567	186	112	,	,	PUNCT
ejpam-5567	186	113	{	{	PUNCT
ejpam-5567	186	114	p1	p1	NOUN
ejpam-5567	186	115	}	}	PUNCT
ejpam-5567	186	116	,	,	PUNCT
ejpam-5567	186	117	{	{	PUNCT
ejpam-5567	186	118	l1	l1	PROPN
ejpam-5567	186	119	}	}	PUNCT
ejpam-5567	186	120	)	)	PUNCT
ejpam-5567	186	121			NOUN
ejpam-5567	186	122	.	.	PUNCT
ejpam-5567	187	1	definition	definition	NOUN
ejpam-5567	187	2	20	20	NUM
ejpam-5567	187	3	.	.	PUNCT
ejpam-5567	188	1	the	the	DET
ejpam-5567	188	2	intersection	intersection	NOUN
ejpam-5567	188	3	of	of	ADP
ejpam-5567	188	4	two	two	NUM
ejpam-5567	188	5	ternary	ternary	ADJ
ejpam-5567	188	6	soft	soft	ADJ
ejpam-5567	188	7	sets	set	NOUN
ejpam-5567	188	8	(	(	PUNCT
ejpam-5567	188	9	f	f	X
ejpam-5567	188	10	,	,	PUNCT
ejpam-5567	188	11	a	a	PRON
ejpam-5567	188	12	)	)	PUNCT
ejpam-5567	188	13	and	and	CCONJ
ejpam-5567	188	14	(	(	PUNCT
ejpam-5567	188	15	g	g	NOUN
ejpam-5567	188	16	,	,	PUNCT
ejpam-5567	188	17	b	b	NOUN
ejpam-5567	188	18	)	)	PUNCT
ejpam-5567	188	19	over	over	ADP
ejpam-5567	188	20	the	the	DET
ejpam-5567	188	21	common	common	ADJ
ejpam-5567	188	22	u1	u1	NOUN
ejpam-5567	188	23	,	,	PUNCT
ejpam-5567	188	24	u2	u2	PROPN
ejpam-5567	188	25	,	,	PUNCT
ejpam-5567	188	26	u3	u3	NOUN
ejpam-5567	188	27	is	be	AUX
ejpam-5567	188	28	the	the	DET
ejpam-5567	188	29	ternary	ternary	ADJ
ejpam-5567	188	30	soft	soft	ADJ
ejpam-5567	188	31	set	set	NOUN
ejpam-5567	188	32	(	(	PUNCT
ejpam-5567	188	33	h	h	NOUN
ejpam-5567	188	34	,	,	PUNCT
ejpam-5567	188	35	c	c	NOUN
ejpam-5567	188	36	)	)	PUNCT
ejpam-5567	188	37	,	,	PUNCT
ejpam-5567	188	38	where	where	SCONJ
ejpam-5567	188	39	c	c	NOUN
ejpam-5567	188	40	=	=	PUNCT
ejpam-5567	188	41	a	a	DET
ejpam-5567	188	42	∩b	∩b	NOUN
ejpam-5567	188	43	,	,	PUNCT
ejpam-5567	188	44	and	and	CCONJ
ejpam-5567	188	45	h(e	h(e	NOUN
ejpam-5567	188	46	)	)	PUNCT
ejpam-5567	189	1	=	=	PUNCT
ejpam-5567	189	2	(	(	PUNCT
ejpam-5567	189	3	x1	x1	PROPN
ejpam-5567	189	4	∩x2	∩x2	PROPN
ejpam-5567	189	5	,	,	PUNCT
ejpam-5567	189	6	y1	y1	NOUN
ejpam-5567	189	7	∩	∩	ADJ
ejpam-5567	189	8	y2	y2	NOUN
ejpam-5567	189	9	,	,	PUNCT
ejpam-5567	189	10	z̧1	z̧1	X
ejpam-5567	189	11	∩	∩	PROPN
ejpam-5567	189	12	z̧2	z̧2	NOUN
ejpam-5567	189	13	)	)	PUNCT
ejpam-5567	189	14	for	for	ADP
ejpam-5567	189	15	each	each	DET
ejpam-5567	189	16	e	e	PROPN
ejpam-5567	189	17	∈	∈	PROPN
ejpam-5567	189	18	c	c	NOUN
ejpam-5567	189	19	such	such	ADJ
ejpam-5567	189	20	that	that	SCONJ
ejpam-5567	189	21	f	f	PROPN
ejpam-5567	189	22	(	(	PUNCT
ejpam-5567	189	23	e	e	NOUN
ejpam-5567	189	24	)	)	PUNCT
ejpam-5567	189	25	=	=	SYM
ejpam-5567	189	26	(	(	PUNCT
ejpam-5567	189	27	x1	x1	PROPN
ejpam-5567	189	28	,	,	PUNCT
ejpam-5567	189	29	y1	y1	NOUN
ejpam-5567	189	30	,	,	PUNCT
ejpam-5567	189	31	z̧1	z̧1	X
ejpam-5567	189	32	)	)	PUNCT
ejpam-5567	189	33	for	for	ADP
ejpam-5567	189	34	each	each	DET
ejpam-5567	189	35	e	e	PROPN
ejpam-5567	189	36	∈	∈	PROPN
ejpam-5567	189	37	a	a	PRON
ejpam-5567	189	38	and	and	CCONJ
ejpam-5567	189	39	g(e	g(e	PROPN
ejpam-5567	189	40	)	)	PUNCT
ejpam-5567	190	1	=	=	PRON
ejpam-5567	190	2	(	(	PUNCT
ejpam-5567	190	3	x2	x2	PROPN
ejpam-5567	190	4	,	,	PUNCT
ejpam-5567	190	5	y2	y2	PROPN
ejpam-5567	190	6	,	,	PUNCT
ejpam-5567	190	7	z̧2	z̧2	NOUN
ejpam-5567	190	8	)	)	PUNCT
ejpam-5567	190	9	for	for	SCONJ
ejpam-5567	190	10	each	each	DET
ejpam-5567	190	11	e	e	PROPN
ejpam-5567	190	12	∈	∈	PROPN
ejpam-5567	190	13	b.	b.	PROPN
ejpam-5567	190	14	symbolized	symbolize	VERB
ejpam-5567	190	15	as	as	ADP
ejpam-5567	190	16	(	(	PUNCT
ejpam-5567	190	17	f	f	PROPN
ejpam-5567	190	18	,	,	PUNCT
ejpam-5567	190	19	a)˜̃∩(g	a)˜̃∩(g	PROPN
ejpam-5567	190	20	,	,	PUNCT
ejpam-5567	190	21	b	b	NOUN
ejpam-5567	190	22	)	)	PUNCT
ejpam-5567	190	23	=	=	SYM
ejpam-5567	190	24	(	(	PUNCT
ejpam-5567	190	25	h	h	NOUN
ejpam-5567	190	26	,	,	PUNCT
ejpam-5567	190	27	c	c	NOUN
ejpam-5567	190	28	)	)	PUNCT
ejpam-5567	190	29	.	.	PUNCT
ejpam-5567	191	1	example	example	NOUN
ejpam-5567	192	1	7	7	NUM
ejpam-5567	192	2	.	.	PUNCT
ejpam-5567	193	1	in	in	ADP
ejpam-5567	193	2	the	the	DET
ejpam-5567	193	3	example	example	NOUN
ejpam-5567	193	4	6	6	NUM
ejpam-5567	193	5	,	,	PUNCT
ejpam-5567	193	6	the	the	DET
ejpam-5567	193	7	intersection	intersection	NOUN
ejpam-5567	193	8	of	of	ADP
ejpam-5567	193	9	two	two	NUM
ejpam-5567	193	10	ternary	ternary	ADJ
ejpam-5567	193	11	soft	soft	ADJ
ejpam-5567	193	12	sets	set	NOUN
ejpam-5567	193	13	(	(	PUNCT
ejpam-5567	193	14	f	f	X
ejpam-5567	193	15	,	,	PUNCT
ejpam-5567	193	16	a	a	PRON
ejpam-5567	193	17	)	)	PUNCT
ejpam-5567	193	18	and	and	CCONJ
ejpam-5567	193	19	(	(	PUNCT
ejpam-5567	193	20	g	g	NOUN
ejpam-5567	193	21	,	,	PUNCT
ejpam-5567	193	22	b	b	NOUN
ejpam-5567	193	23	)	)	PUNCT
ejpam-5567	193	24	is	be	AUX
ejpam-5567	193	25	the	the	DET
ejpam-5567	193	26	ternary	ternary	ADJ
ejpam-5567	193	27	soft	soft	ADJ
ejpam-5567	193	28	set	set	NOUN
ejpam-5567	193	29	(	(	PUNCT
ejpam-5567	193	30	h	h	NOUN
ejpam-5567	193	31	,	,	PUNCT
ejpam-5567	193	32	c	c	NOUN
ejpam-5567	193	33	)	)	PUNCT
ejpam-5567	193	34	,	,	PUNCT
ejpam-5567	193	35	where	where	SCONJ
ejpam-5567	193	36	c	c	NOUN
ejpam-5567	193	37	=	=	PUNCT
ejpam-5567	193	38	a	a	DET
ejpam-5567	193	39	∩b	∩b	NOUN
ejpam-5567	193	40	=	=	SYM
ejpam-5567	193	41	{	{	PUNCT
ejpam-5567	193	42	e3	e3	NOUN
ejpam-5567	193	43	}	}	PUNCT
ejpam-5567	193	44	and	and	CCONJ
ejpam-5567	193	45	(	(	PUNCT
ejpam-5567	193	46	h	h	NOUN
ejpam-5567	193	47	,	,	PUNCT
ejpam-5567	193	48	c	c	NOUN
ejpam-5567	193	49	)	)	PUNCT
ejpam-5567	193	50	=	=	PRON
ejpam-5567	193	51	{	{	PUNCT
ejpam-5567	193	52	(	(	PUNCT
ejpam-5567	193	53	e3	e3	NOUN
ejpam-5567	193	54	,	,	PUNCT
ejpam-5567	193	55	(	(	PUNCT
ejpam-5567	193	56	{	{	PUNCT
ejpam-5567	193	57	s4	s4	PROPN
ejpam-5567	193	58	,	,	PUNCT
ejpam-5567	193	59	s5	s5	PROPN
ejpam-5567	193	60	}	}	PUNCT
ejpam-5567	193	61	,	,	PUNCT
ejpam-5567	193	62	{	{	PUNCT
ejpam-5567	193	63	p1	p1	NOUN
ejpam-5567	193	64	}	}	PUNCT
ejpam-5567	193	65	,	,	PUNCT
ejpam-5567	193	66	{	{	PUNCT
ejpam-5567	193	67	l1	l1	PROPN
ejpam-5567	193	68	}	}	PUNCT
ejpam-5567	193	69	)	)	PUNCT
ejpam-5567	193	70	)	)	PUNCT
ejpam-5567	193	71	}	}	PUNCT
ejpam-5567	193	72	.	.	PUNCT
ejpam-5567	194	1	proposition	proposition	NOUN
ejpam-5567	194	2	1	1	NUM
ejpam-5567	194	3	.	.	PUNCT
ejpam-5567	195	1	let	let	VERB
ejpam-5567	195	2	(	(	PUNCT
ejpam-5567	195	3	f	f	X
ejpam-5567	195	4	,	,	PUNCT
ejpam-5567	195	5	a	a	PRON
ejpam-5567	195	6	)	)	PUNCT
ejpam-5567	195	7	,	,	PUNCT
ejpam-5567	195	8	(	(	PUNCT
ejpam-5567	195	9	g	g	NOUN
ejpam-5567	195	10	,	,	PUNCT
ejpam-5567	195	11	b	b	NOUN
ejpam-5567	195	12	)	)	PUNCT
ejpam-5567	195	13	,	,	PUNCT
ejpam-5567	195	14	and	and	CCONJ
ejpam-5567	195	15	(	(	PUNCT
ejpam-5567	195	16	h	h	NOUN
ejpam-5567	195	17	,	,	PUNCT
ejpam-5567	195	18	c	c	NOUN
ejpam-5567	195	19	)	)	PUNCT
ejpam-5567	195	20	be	be	VERB
ejpam-5567	195	21	three	three	NUM
ejpam-5567	195	22	ternary	ternary	ADJ
ejpam-5567	195	23	soft	soft	ADJ
ejpam-5567	195	24	sets	set	NOUN
ejpam-5567	195	25	.	.	PUNCT
ejpam-5567	196	1	then	then	ADV
ejpam-5567	196	2	we	we	PRON
ejpam-5567	196	3	have	have	VERB
ejpam-5567	196	4	the	the	DET
ejpam-5567	196	5	following	follow	VERB
ejpam-5567	196	6	results	result	NOUN
ejpam-5567	196	7	:	:	PUNCT
ejpam-5567	196	8	(	(	PUNCT
ejpam-5567	196	9	i	i	NOUN
ejpam-5567	196	10	)	)	PUNCT
ejpam-5567	196	11	(	(	PUNCT
ejpam-5567	196	12	f	f	X
ejpam-5567	196	13	,	,	PUNCT
ejpam-5567	196	14	a)˜̃∪(f	a)˜̃∪(f	PROPN
ejpam-5567	196	15	,	,	PUNCT
ejpam-5567	196	16	a	a	PRON
ejpam-5567	196	17	)	)	PUNCT
ejpam-5567	196	18	=	=	SYM
ejpam-5567	197	1	(	(	PUNCT
ejpam-5567	197	2	f	f	X
ejpam-5567	197	3	,	,	PUNCT
ejpam-5567	197	4	a	a	PRON
ejpam-5567	197	5	)	)	PUNCT
ejpam-5567	197	6	.	.	PUNCT
ejpam-5567	198	1	m.	m.	NOUN
ejpam-5567	198	2	nawaz	nawaz	PROPN
ejpam-5567	198	3	et	et	PROPN
ejpam-5567	198	4	al	al	PROPN
ejpam-5567	198	5	.	.	PUNCT
ejpam-5567	198	6	/	/	SYM
ejpam-5567	198	7	eur	eur	PROPN
ejpam-5567	198	8	.	.	PUNCT
ejpam-5567	199	1	j.	j.	PROPN
ejpam-5567	199	2	pure	pure	PROPN
ejpam-5567	199	3	appl	appl	PROPN
ejpam-5567	199	4	.	.	PROPN
ejpam-5567	199	5	math	math	PROPN
ejpam-5567	199	6	,	,	PUNCT
ejpam-5567	199	7	18	18	NUM
ejpam-5567	199	8	(	(	PUNCT
ejpam-5567	199	9	1	1	NUM
ejpam-5567	199	10	)	)	PUNCT
ejpam-5567	199	11	(	(	PUNCT
ejpam-5567	199	12	2025	2025	NUM
ejpam-5567	199	13	)	)	PUNCT
ejpam-5567	199	14	,	,	PUNCT
ejpam-5567	199	15	5567	5567	NUM
ejpam-5567	199	16	10	10	NUM
ejpam-5567	199	17	of	of	ADP
ejpam-5567	199	18	45	45	NUM
ejpam-5567	199	19	(	(	PUNCT
ejpam-5567	199	20	ii	ii	NOUN
ejpam-5567	199	21	)	)	PUNCT
ejpam-5567	199	22	(	(	PUNCT
ejpam-5567	199	23	f	f	X
ejpam-5567	199	24	,	,	PUNCT
ejpam-5567	199	25	a)˜̃∪(g	a)˜̃∪(g	PROPN
ejpam-5567	199	26	,	,	PUNCT
ejpam-5567	199	27	b	b	NOUN
ejpam-5567	199	28	)	)	PUNCT
ejpam-5567	199	29	=	=	SYM
ejpam-5567	199	30	(	(	PUNCT
ejpam-5567	199	31	g	g	NOUN
ejpam-5567	199	32	,	,	PUNCT
ejpam-5567	199	33	b)˜̃∪(f	b)˜̃∪(f	NOUN
ejpam-5567	199	34	,	,	PUNCT
ejpam-5567	199	35	a	a	PRON
ejpam-5567	199	36	)	)	PUNCT
ejpam-5567	199	37	.	.	PUNCT
ejpam-5567	200	1	(	(	PUNCT
ejpam-5567	200	2	iii	iii	X
ejpam-5567	200	3	)	)	PUNCT
ejpam-5567	200	4	(	(	PUNCT
ejpam-5567	200	5	f	f	X
ejpam-5567	200	6	,	,	PUNCT
ejpam-5567	200	7	a)˜̃∪((g	a)˜̃∪((g	PROPN
ejpam-5567	200	8	,	,	PUNCT
ejpam-5567	200	9	b)˜̃∪(h	b)˜̃∪(h	PROPN
ejpam-5567	200	10	,	,	PUNCT
ejpam-5567	200	11	ć	ć	PROPN
ejpam-5567	200	12	)	)	PUNCT
ejpam-5567	200	13	)	)	PUNCT
ejpam-5567	201	1	=	=	PUNCT
ejpam-5567	202	1	(	(	PUNCT
ejpam-5567	202	2	(	(	PUNCT
ejpam-5567	202	3	f	f	X
ejpam-5567	202	4	,	,	PUNCT
ejpam-5567	202	5	a)˜̃∪(g	a)˜̃∪(g	PROPN
ejpam-5567	202	6	,	,	PUNCT
ejpam-5567	202	7	b))˜̃∪(h	b))˜̃∪(h	PROPN
ejpam-5567	202	8	,	,	PUNCT
ejpam-5567	202	9	c	c	NOUN
ejpam-5567	202	10	)	)	PUNCT
ejpam-5567	202	11	.	.	PUNCT
ejpam-5567	203	1	(	(	PUNCT
ejpam-5567	203	2	iv	iv	X
ejpam-5567	203	3	)	)	PUNCT
ejpam-5567	203	4	(	(	PUNCT
ejpam-5567	203	5	f	f	X
ejpam-5567	203	6	,	,	PUNCT
ejpam-5567	203	7	a)˜̃∪∅̃	a)˜̃∪∅̃	NOUN
ejpam-5567	203	8	=	=	PUNCT
ejpam-5567	203	9	(	(	PUNCT
ejpam-5567	203	10	f	f	X
ejpam-5567	203	11	,	,	PUNCT
ejpam-5567	203	12	a	a	PRON
ejpam-5567	203	13	)	)	PUNCT
ejpam-5567	203	14	.	.	PUNCT
ejpam-5567	204	1	(	(	PUNCT
ejpam-5567	204	2	v	v	NOUN
ejpam-5567	204	3	)	)	PUNCT
ejpam-5567	204	4	(	(	PUNCT
ejpam-5567	204	5	f	f	X
ejpam-5567	204	6	,	,	PUNCT
ejpam-5567	204	7	a)˜̃∪	a)˜̃∪	PROPN
ejpam-5567	204	8	˜̃	˜̃	NOUN
ejpam-5567	204	9	a	a	DET
ejpam-5567	204	10	=	=	NOUN
ejpam-5567	204	11	˜̃	˜̃	NOUN
ejpam-5567	204	12	a.	a.	NOUN
ejpam-5567	204	13	(	(	PUNCT
ejpam-5567	204	14	vi	vi	NOUN
ejpam-5567	204	15	)	)	PUNCT
ejpam-5567	204	16	(	(	PUNCT
ejpam-5567	204	17	f	f	X
ejpam-5567	204	18	,	,	PUNCT
ejpam-5567	204	19	a	a	PRON
ejpam-5567	204	20	)	)	PUNCT
ejpam-5567	204	21	⊆	⊆	PROPN
ejpam-5567	204	22	˜̃∪(f	˜̃∪(f	PROPN
ejpam-5567	204	23	,	,	PUNCT
ejpam-5567	204	24	a)˜̃∪(g	a)˜̃∪(g	PROPN
ejpam-5567	204	25	,	,	PUNCT
ejpam-5567	204	26	b	b	NOUN
ejpam-5567	204	27	)	)	PUNCT
ejpam-5567	204	28	and	and	CCONJ
ejpam-5567	204	29	(	(	PUNCT
ejpam-5567	204	30	g	g	NOUN
ejpam-5567	204	31	,	,	PUNCT
ejpam-5567	204	32	b	b	NOUN
ejpam-5567	204	33	)	)	PUNCT
ejpam-5567	204	34	⊆	⊆	PROPN
ejpam-5567	204	35	˜̃∪(f	˜̃∪(f	PROPN
ejpam-5567	204	36	,	,	PUNCT
ejpam-5567	204	37	a)˜̃∪(g	a)˜̃∪(g	PROPN
ejpam-5567	204	38	,	,	PUNCT
ejpam-5567	204	39	b	b	NOUN
ejpam-5567	204	40	)	)	PUNCT
ejpam-5567	204	41	.	.	PUNCT
ejpam-5567	205	1	(	(	PUNCT
ejpam-5567	205	2	vii	vii	PROPN
ejpam-5567	205	3	)	)	PUNCT
ejpam-5567	205	4	(	(	PUNCT
ejpam-5567	205	5	f	f	X
ejpam-5567	205	6	,	,	PUNCT
ejpam-5567	205	7	a)˜̃∪(g	a)˜̃∪(g	PROPN
ejpam-5567	205	8	,	,	PUNCT
ejpam-5567	205	9	b	b	NOUN
ejpam-5567	205	10	)	)	PUNCT
ejpam-5567	205	11	=	=	PUNCT
ejpam-5567	206	1	˜̃∅	˜̃∅	NOUN
ejpam-5567	206	2	if	if	SCONJ
ejpam-5567	206	3	and	and	CCONJ
ejpam-5567	206	4	only	only	ADV
ejpam-5567	206	5	if	if	SCONJ
ejpam-5567	206	6	(	(	PUNCT
ejpam-5567	206	7	f	f	X
ejpam-5567	206	8	,	,	PUNCT
ejpam-5567	206	9	a	a	PRON
ejpam-5567	206	10	)	)	PUNCT
ejpam-5567	206	11	=	=	SYM
ejpam-5567	206	12	˜̃∅	˜̃∅	PROPN
ejpam-5567	206	13	and	and	CCONJ
ejpam-5567	206	14	(	(	PUNCT
ejpam-5567	206	15	g	g	PROPN
ejpam-5567	206	16	,	,	PUNCT
ejpam-5567	206	17	b	b	NOUN
ejpam-5567	206	18	)	)	PUNCT
ejpam-5567	206	19	=	=	NOUN
ejpam-5567	206	20	˜̃∅.	˜̃∅.	PROPN
ejpam-5567	206	21	(	(	PUNCT
ejpam-5567	206	22	viii	viii	PROPN
ejpam-5567	206	23	)	)	PUNCT
ejpam-5567	206	24	(	(	PUNCT
ejpam-5567	206	25	f	f	X
ejpam-5567	206	26	,	,	PUNCT
ejpam-5567	206	27	a	a	PRON
ejpam-5567	206	28	)	)	PUNCT
ejpam-5567	206	29	⊆	⊆	NUM
ejpam-5567	206	30	(	(	PUNCT
ejpam-5567	206	31	g	g	NOUN
ejpam-5567	206	32	,	,	PUNCT
ejpam-5567	206	33	b	b	NOUN
ejpam-5567	206	34	)	)	PUNCT
ejpam-5567	206	35	if	if	SCONJ
ejpam-5567	207	1	and	and	CCONJ
ejpam-5567	207	2	only	only	ADV
ejpam-5567	207	3	if	if	SCONJ
ejpam-5567	207	4	(	(	PUNCT
ejpam-5567	207	5	f	f	X
ejpam-5567	207	6	,	,	PUNCT
ejpam-5567	207	7	a)˜̃∪(g	a)˜̃∪(g	PROPN
ejpam-5567	207	8	,	,	PUNCT
ejpam-5567	207	9	b	b	NOUN
ejpam-5567	207	10	)	)	PUNCT
ejpam-5567	207	11	=	=	SYM
ejpam-5567	207	12	(	(	PUNCT
ejpam-5567	207	13	g	g	PROPN
ejpam-5567	207	14	,	,	PUNCT
ejpam-5567	207	15	b	b	NOUN
ejpam-5567	207	16	)	)	PUNCT
ejpam-5567	207	17	.	.	PUNCT
ejpam-5567	208	1	proof	proof	NOUN
ejpam-5567	208	2	.	.	PUNCT
ejpam-5567	209	1	it	it	PRON
ejpam-5567	209	2	is	be	AUX
ejpam-5567	209	3	obvious	obvious	ADJ
ejpam-5567	209	4	.	.	PUNCT
ejpam-5567	210	1	proposition	proposition	NOUN
ejpam-5567	210	2	2	2	NUM
ejpam-5567	210	3	.	.	PUNCT
ejpam-5567	211	1	let	let	VERB
ejpam-5567	211	2	(	(	PUNCT
ejpam-5567	211	3	f	f	X
ejpam-5567	211	4	,	,	PUNCT
ejpam-5567	211	5	a	a	PRON
ejpam-5567	211	6	)	)	PUNCT
ejpam-5567	211	7	and	and	CCONJ
ejpam-5567	211	8	(	(	PUNCT
ejpam-5567	211	9	g	g	NOUN
ejpam-5567	211	10	,	,	PUNCT
ejpam-5567	211	11	b	b	NOUN
ejpam-5567	211	12	)	)	PUNCT
ejpam-5567	211	13	be	be	AUX
ejpam-5567	211	14	two	two	NUM
ejpam-5567	211	15	ternary	ternary	ADJ
ejpam-5567	211	16	soft	soft	ADJ
ejpam-5567	211	17	sets	set	NOUN
ejpam-5567	211	18	.	.	PUNCT
ejpam-5567	212	1	then	then	ADV
ejpam-5567	212	2	we	we	PRON
ejpam-5567	212	3	have	have	VERB
ejpam-5567	212	4	the	the	DET
ejpam-5567	212	5	following	follow	VERB
ejpam-5567	212	6	results	result	NOUN
ejpam-5567	212	7	:	:	PUNCT
ejpam-5567	212	8	(	(	PUNCT
ejpam-5567	212	9	i	i	NOUN
ejpam-5567	212	10	)	)	PUNCT
ejpam-5567	212	11	(	(	PUNCT
ejpam-5567	212	12	f	f	X
ejpam-5567	212	13	,	,	PUNCT
ejpam-5567	212	14	a)˜̃∪(f	a)˜̃∪(f	PROPN
ejpam-5567	212	15	,	,	PUNCT
ejpam-5567	212	16	a)c	a)c	PUNCT
ejpam-5567	212	17	=	=	PUNCT
ejpam-5567	212	18	˜̃	˜̃	NOUN
ejpam-5567	212	19	a.	a.	NOUN
ejpam-5567	212	20	(	(	PUNCT
ejpam-5567	212	21	ii	ii	PROPN
ejpam-5567	212	22	)	)	PUNCT
ejpam-5567	212	23	(	(	PUNCT
ejpam-5567	212	24	f	f	X
ejpam-5567	212	25	,	,	PUNCT
ejpam-5567	212	26	a)˜̃∩(f	a)˜̃∩(f	PROPN
ejpam-5567	212	27	,	,	PUNCT
ejpam-5567	212	28	a)c	a)c	PUNCT
ejpam-5567	212	29	=	=	VERB
ejpam-5567	213	1	˜̃∅.	˜̃∅.	PROPN
ejpam-5567	213	2	(	(	PUNCT
ejpam-5567	213	3	iii	iii	NOUN
ejpam-5567	213	4	)	)	PUNCT
ejpam-5567	213	5	(	(	PUNCT
ejpam-5567	213	6	f	f	X
ejpam-5567	213	7	,	,	PUNCT
ejpam-5567	213	8	a	a	PRON
ejpam-5567	213	9	)	)	PUNCT
ejpam-5567	213	10	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	213	11	,	,	PUNCT
ejpam-5567	213	12	b	b	NOUN
ejpam-5567	213	13	)	)	PUNCT
ejpam-5567	213	14	if	if	SCONJ
ejpam-5567	213	15	and	and	CCONJ
ejpam-5567	213	16	only	only	ADV
ejpam-5567	213	17	if	if	SCONJ
ejpam-5567	213	18	(	(	PUNCT
ejpam-5567	213	19	g	g	NOUN
ejpam-5567	213	20	,	,	PUNCT
ejpam-5567	213	21	b)c	b)c	ADJ
ejpam-5567	213	22	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	213	23	,	,	PUNCT
ejpam-5567	213	24	a)c	a)c	PUNCT
ejpam-5567	213	25	.	.	PUNCT
ejpam-5567	214	1	(	(	PUNCT
ejpam-5567	214	2	iv	iv	X
ejpam-5567	214	3	)	)	PUNCT
ejpam-5567	214	4	(	(	PUNCT
ejpam-5567	214	5	(	(	PUNCT
ejpam-5567	214	6	f	f	X
ejpam-5567	214	7	,	,	PUNCT
ejpam-5567	214	8	a)˜̃∪(g	a)˜̃∪(g	PROPN
ejpam-5567	214	9	,	,	PUNCT
ejpam-5567	214	10	b))c	b))c	NOUN
ejpam-5567	214	11	=	=	PUNCT
ejpam-5567	215	1	(	(	PUNCT
ejpam-5567	215	2	f	f	X
ejpam-5567	215	3	,	,	PUNCT
ejpam-5567	215	4	a)c	a)c	X
ejpam-5567	215	5	˜̃∪(g	˜̃∪(g	PROPN
ejpam-5567	215	6	,	,	PUNCT
ejpam-5567	215	7	b)c	b)c	X
ejpam-5567	215	8	.	.	PUNCT
ejpam-5567	216	1	(	(	PUNCT
ejpam-5567	216	2	v	v	NOUN
ejpam-5567	216	3	)	)	PUNCT
ejpam-5567	216	4	(	(	PUNCT
ejpam-5567	216	5	(	(	PUNCT
ejpam-5567	216	6	f	f	X
ejpam-5567	216	7	,	,	PUNCT
ejpam-5567	216	8	a)˜̃∩(g	a)˜̃∩(g	PROPN
ejpam-5567	216	9	,	,	PUNCT
ejpam-5567	216	10	b))c	b))c	NOUN
ejpam-5567	216	11	=	=	PUNCT
ejpam-5567	216	12	(	(	PUNCT
ejpam-5567	216	13	f	f	X
ejpam-5567	216	14	,	,	PUNCT
ejpam-5567	216	15	a)c	a)c	X
ejpam-5567	216	16	˜̃∩(g	˜̃∩(g	NOUN
ejpam-5567	216	17	,	,	PUNCT
ejpam-5567	216	18	b)c	b)c	ADJ
ejpam-5567	216	19	.	.	PUNCT
ejpam-5567	217	1	proof	proof	NOUN
ejpam-5567	217	2	.	.	PUNCT
ejpam-5567	218	1	(	(	PUNCT
ejpam-5567	218	2	i	i	NOUN
ejpam-5567	218	3	)	)	PUNCT
ejpam-5567	218	4	it	it	PRON
ejpam-5567	218	5	is	be	AUX
ejpam-5567	218	6	obvious	obvious	ADJ
ejpam-5567	218	7	.	.	PUNCT
ejpam-5567	219	1	(	(	PUNCT
ejpam-5567	219	2	ii	ii	X
ejpam-5567	219	3	)	)	PUNCT
ejpam-5567	219	4	it	it	PRON
ejpam-5567	219	5	is	be	AUX
ejpam-5567	219	6	obvious	obvious	ADJ
ejpam-5567	219	7	.	.	PUNCT
ejpam-5567	220	1	(	(	PUNCT
ejpam-5567	220	2	iii	iii	X
ejpam-5567	220	3	)	)	PUNCT
ejpam-5567	220	4	it	it	PRON
ejpam-5567	220	5	is	be	AUX
ejpam-5567	220	6	obvious	obvious	ADJ
ejpam-5567	220	7	.	.	PUNCT
ejpam-5567	221	1	(	(	PUNCT
ejpam-5567	221	2	iv	iv	X
ejpam-5567	221	3	)	)	PUNCT
ejpam-5567	221	4	(	(	PUNCT
ejpam-5567	221	5	f	f	X
ejpam-5567	221	6	,	,	PUNCT
ejpam-5567	221	7	a)˜̃∪(g	a)˜̃∪(g	PROPN
ejpam-5567	221	8	,	,	PUNCT
ejpam-5567	221	9	b	b	NOUN
ejpam-5567	221	10	)	)	PUNCT
ejpam-5567	221	11	=	=	SYM
ejpam-5567	221	12	(	(	PUNCT
ejpam-5567	221	13	h	h	NOUN
ejpam-5567	221	14	,	,	PUNCT
ejpam-5567	221	15	a	a	DET
ejpam-5567	221	16	∪b	∪b	NOUN
ejpam-5567	221	17	)	)	PUNCT
ejpam-5567	221	18	,	,	PUNCT
ejpam-5567	221	19	where	where	SCONJ
ejpam-5567	221	20	for	for	ADP
ejpam-5567	221	21	each	each	DET
ejpam-5567	221	22	e	e	PROPN
ejpam-5567	221	23	∈	∈	PROPN
ejpam-5567	221	24	a	a	DET
ejpam-5567	221	25	∪b	∪b	NOUN
ejpam-5567	221	26	:	:	PUNCT
ejpam-5567	221	27	h(e	h(e	PROPN
ejpam-5567	221	28	)	)	PUNCT
ejpam-5567	221	29	=	=	PUNCT
ejpam-5567	222	1			PUNCT
ejpam-5567	222	2	(	(	PUNCT
ejpam-5567	222	3	x1	x1	PROPN
ejpam-5567	222	4	,	,	PUNCT
ejpam-5567	222	5	y1	y1	NOUN
ejpam-5567	222	6	,	,	PUNCT
ejpam-5567	222	7	z̧1	z̧1	X
ejpam-5567	222	8	)	)	PUNCT
ejpam-5567	222	9	,	,	PUNCT
ejpam-5567	222	10	e	e	PROPN
ejpam-5567	222	11	∈	∈	PROPN
ejpam-5567	222	12	a−b	a−b	NOUN
ejpam-5567	222	13	(	(	PUNCT
ejpam-5567	222	14	x2	x2	PROPN
ejpam-5567	222	15	,	,	PUNCT
ejpam-5567	222	16	y2	y2	PROPN
ejpam-5567	222	17	,	,	PUNCT
ejpam-5567	222	18	z̧2	z̧2	NOUN
ejpam-5567	222	19	)	)	PUNCT
ejpam-5567	222	20	,	,	PUNCT
ejpam-5567	222	21	e	e	PROPN
ejpam-5567	222	22	∈	∈	PROPN
ejpam-5567	222	23	b	b	X
ejpam-5567	222	24	−a	−a	NOUN
ejpam-5567	222	25	(	(	PUNCT
ejpam-5567	222	26	x1	x1	PROPN
ejpam-5567	222	27	∪x2	∪x2	ADJ
ejpam-5567	222	28	,	,	PUNCT
ejpam-5567	222	29	y1	y1	NOUN
ejpam-5567	222	30	∪	∪	NOUN
ejpam-5567	222	31	y2	y2	PROPN
ejpam-5567	222	32	,	,	PUNCT
ejpam-5567	222	33	z̧1	z̧1	X
ejpam-5567	222	34	∪	∪	ADP
ejpam-5567	222	35	z̧2	z̧2	NOUN
ejpam-5567	222	36	)	)	PUNCT
ejpam-5567	222	37	,	,	PUNCT
ejpam-5567	223	1	e	e	PROPN
ejpam-5567	223	2	∈	∈	PROPN
ejpam-5567	223	3	a	a	DET
ejpam-5567	223	4	∩b	∩b	NOUN
ejpam-5567	223	5	.	.	PUNCT
ejpam-5567	224	1			NOUN
ejpam-5567	224	2	such	such	ADJ
ejpam-5567	224	3	that	that	SCONJ
ejpam-5567	224	4	f	f	PROPN
ejpam-5567	224	5	(	(	PUNCT
ejpam-5567	224	6	e	e	NOUN
ejpam-5567	224	7	)	)	PUNCT
ejpam-5567	224	8	=	=	SYM
ejpam-5567	224	9	(	(	PUNCT
ejpam-5567	224	10	x1	x1	PROPN
ejpam-5567	224	11	,	,	PUNCT
ejpam-5567	224	12	y1	y1	NOUN
ejpam-5567	224	13	,	,	PUNCT
ejpam-5567	224	14	z̧1	z̧1	X
ejpam-5567	224	15	)	)	PUNCT
ejpam-5567	224	16	for	for	ADP
ejpam-5567	224	17	each	each	DET
ejpam-5567	224	18	e	e	PROPN
ejpam-5567	224	19	∈	∈	PROPN
ejpam-5567	224	20	a	a	PRON
ejpam-5567	224	21	and	and	CCONJ
ejpam-5567	224	22	g(e	g(e	PROPN
ejpam-5567	224	23	)	)	PUNCT
ejpam-5567	225	1	=	=	PRON
ejpam-5567	225	2	(	(	PUNCT
ejpam-5567	225	3	x2	x2	PROPN
ejpam-5567	225	4	,	,	PUNCT
ejpam-5567	225	5	y2	y2	PROPN
ejpam-5567	225	6	,	,	PUNCT
ejpam-5567	225	7	z̧2	z̧2	NOUN
ejpam-5567	225	8	)	)	PUNCT
ejpam-5567	225	9	for	for	ADP
ejpam-5567	225	10	each	each	DET
ejpam-5567	225	11	e	e	PROPN
ejpam-5567	225	12	∈	∈	PROPN
ejpam-5567	225	13	b.	b.	PROPN
ejpam-5567	225	14	therefore	therefore	ADV
ejpam-5567	225	15	,	,	PUNCT
ejpam-5567	225	16	(	(	PUNCT
ejpam-5567	225	17	(	(	PUNCT
ejpam-5567	225	18	f	f	X
ejpam-5567	225	19	,	,	PUNCT
ejpam-5567	225	20	a)˜̃∪(g	a)˜̃∪(g	PROPN
ejpam-5567	225	21	,	,	PUNCT
ejpam-5567	225	22	b))c	b))c	NOUN
ejpam-5567	225	23	=	=	PUNCT
ejpam-5567	225	24	(	(	PUNCT
ejpam-5567	225	25	h	h	NOUN
ejpam-5567	225	26	,	,	PUNCT
ejpam-5567	225	27	a	a	DET
ejpam-5567	225	28	∪b)c	∪b)c	PROPN
ejpam-5567	225	29	=	=	SYM
ejpam-5567	225	30	(	(	PUNCT
ejpam-5567	225	31	hc	hc	PROPN
ejpam-5567	225	32	,	,	PUNCT
ejpam-5567	225	33	.	.	PUNCT
ejpam-5567	226	1	a∪	a∪	INTJ
ejpam-5567	226	2	.	.	PUNCT
ejpam-5567	227	1	b	b	X
ejpam-5567	227	2	)	)	PUNCT
ejpam-5567	227	3	,	,	PUNCT
ejpam-5567	227	4	m.	m.	NOUN
ejpam-5567	227	5	nawaz	nawaz	NOUN
ejpam-5567	227	6	et	et	PROPN
ejpam-5567	227	7	al	al	PROPN
ejpam-5567	227	8	.	.	PUNCT
ejpam-5567	227	9	/	/	SYM
ejpam-5567	227	10	eur	eur	PROPN
ejpam-5567	227	11	.	.	PUNCT
ejpam-5567	228	1	j.	j.	PROPN
ejpam-5567	228	2	pure	pure	PROPN
ejpam-5567	228	3	appl	appl	PROPN
ejpam-5567	228	4	.	.	PROPN
ejpam-5567	228	5	math	math	PROPN
ejpam-5567	228	6	,	,	PUNCT
ejpam-5567	228	7	18	18	NUM
ejpam-5567	228	8	(	(	PUNCT
ejpam-5567	228	9	1	1	NUM
ejpam-5567	228	10	)	)	PUNCT
ejpam-5567	228	11	(	(	PUNCT
ejpam-5567	228	12	2025	2025	NUM
ejpam-5567	228	13	)	)	PUNCT
ejpam-5567	228	14	,	,	PUNCT
ejpam-5567	228	15	5567	5567	NUM
ejpam-5567	228	16	11	11	NUM
ejpam-5567	228	17	of	of	ADP
ejpam-5567	228	18	45	45	NUM
ejpam-5567	228	19	where	where	SCONJ
ejpam-5567	228	20	hc	hc	PROPN
ejpam-5567	228	21	(	(	PUNCT
ejpam-5567	228	22	.	.	PUNCT
ejpam-5567	229	1	e	e	X
ejpam-5567	229	2	)	)	PUNCT
ejpam-5567	229	3	=	=	SYM
ejpam-5567	229	4	(	(	PUNCT
ejpam-5567	229	5	u1	u1	NOUN
ejpam-5567	229	6	−x	−x	NOUN
ejpam-5567	229	7	,	,	PUNCT
ejpam-5567	229	8	u2	u2	PROPN
ejpam-5567	229	9	−	−	PROPN
ejpam-5567	229	10	y	y	PROPN
ejpam-5567	229	11	,	,	PUNCT
ejpam-5567	229	12	u3	u3	PROPN
ejpam-5567	229	13	−	−	PROPN
ejpam-5567	229	14	z̧	z̧	PROPN
ejpam-5567	229	15	)	)	PUNCT
ejpam-5567	229	16	for	for	ADP
ejpam-5567	229	17	each	each	PRON
ejpam-5567	229	18	.	.	PUNCT
ejpam-5567	230	1	e	e	X
ejpam-5567	230	2	∈.	∈.	PROPN
ejpam-5567	230	3	a∪	a∪	PROPN
ejpam-5567	230	4	.	.	PUNCT
ejpam-5567	231	1	b	b	X
ejpam-5567	231	2	,	,	PUNCT
ejpam-5567	231	3	such	such	ADJ
ejpam-5567	231	4	that	that	SCONJ
ejpam-5567	231	5	h(e	h(e	PROPN
ejpam-5567	231	6	)	)	PUNCT
ejpam-5567	231	7	=	=	PUNCT
ejpam-5567	231	8	(	(	PUNCT
ejpam-5567	231	9	x	x	X
ejpam-5567	231	10	,	,	PUNCT
ejpam-5567	231	11	y	y	PROPN
ejpam-5567	231	12	,	,	PUNCT
ejpam-5567	231	13	z̧	z̧	NOUN
ejpam-5567	231	14	)	)	PUNCT
ejpam-5567	231	15	.	.	PUNCT
ejpam-5567	232	1	now	now	ADV
ejpam-5567	232	2	,	,	PUNCT
ejpam-5567	232	3	hc	hc	PROPN
ejpam-5567	232	4	(	(	PUNCT
ejpam-5567	232	5	.	.	PUNCT
ejpam-5567	233	1	e	e	X
ejpam-5567	233	2	)	)	PUNCT
ejpam-5567	233	3	=	=	PUNCT
ejpam-5567	233	4			PUNCT
ejpam-5567	233	5	(	(	PUNCT
ejpam-5567	233	6	u1	u1	NOUN
ejpam-5567	233	7	−x1	−x1	NOUN
ejpam-5567	233	8	,	,	PUNCT
ejpam-5567	233	9	u2	u2	PROPN
ejpam-5567	233	10	−	−	PROPN
ejpam-5567	233	11	y1	y1	PROPN
ejpam-5567	233	12	,	,	PUNCT
ejpam-5567	233	13	u3	u3	NOUN
ejpam-5567	233	14	−	−	PROPN
ejpam-5567	233	15	z̧1	z̧1	NOUN
ejpam-5567	233	16	)	)	PUNCT
ejpam-5567	233	17	,	,	PUNCT
ejpam-5567	233	18	e	e	PROPN
ejpam-5567	233	19	∈.	∈.	PROPN
ejpam-5567	233	20	a−	a−	PROPN
ejpam-5567	233	21	.	.	PUNCT
ejpam-5567	234	1	b	b	X
ejpam-5567	234	2	(	(	PUNCT
ejpam-5567	234	3	u1	u1	PROPN
ejpam-5567	234	4	−x2	−x2	PROPN
ejpam-5567	234	5	,	,	PUNCT
ejpam-5567	234	6	u2	u2	PROPN
ejpam-5567	234	7	−	−	PROPN
ejpam-5567	234	8	y2	y2	PROPN
ejpam-5567	234	9	,	,	PUNCT
ejpam-5567	234	10	u3	u3	NOUN
ejpam-5567	234	11	−	−	PROPN
ejpam-5567	234	12	z̧2	z̧2	NOUN
ejpam-5567	234	13	)	)	PUNCT
ejpam-5567	234	14	,	,	PUNCT
ejpam-5567	234	15	e	e	PROPN
ejpam-5567	234	16	∈.	∈.	PROPN
ejpam-5567	234	17	b−	b−	PROPN
ejpam-5567	234	18	.	.	PUNCT
ejpam-5567	235	1	a	a	DET
ejpam-5567	235	2	(	(	PUNCT
ejpam-5567	235	3	u1	u1	NOUN
ejpam-5567	235	4	−	−	PROPN
ejpam-5567	235	5	(	(	PUNCT
ejpam-5567	235	6	x1	x1	PROPN
ejpam-5567	235	7	∪x2	∪x2	ADJ
ejpam-5567	235	8	)	)	PUNCT
ejpam-5567	235	9	,	,	PUNCT
ejpam-5567	235	10	u2	u2	PROPN
ejpam-5567	235	11	−	−	PROPN
ejpam-5567	235	12	(	(	PUNCT
ejpam-5567	235	13	y1	y1	INTJ
ejpam-5567	235	14	∪	∪	X
ejpam-5567	235	15	y2	y2	NOUN
ejpam-5567	235	16	)	)	PUNCT
ejpam-5567	235	17	,	,	PUNCT
ejpam-5567	235	18	u3	u3	NOUN
ejpam-5567	235	19	−	−	PROPN
ejpam-5567	235	20	(	(	PUNCT
ejpam-5567	235	21	z̧1	z̧1	X
ejpam-5567	235	22	∪	∪	PROPN
ejpam-5567	235	23	z̧2	z̧2	NOUN
ejpam-5567	235	24	)	)	PUNCT
ejpam-5567	235	25	)	)	PUNCT
ejpam-5567	235	26	,	,	PUNCT
ejpam-5567	235	27	e	e	PROPN
ejpam-5567	235	28	∈.	∈.	PROPN
ejpam-5567	235	29	a∩	a∩	PROPN
ejpam-5567	235	30	.	.	PUNCT
ejpam-5567	236	1	b.	b.	PROPN
ejpam-5567	236	2			PROPN
ejpam-5567	236	3	similarly	similarly	ADV
ejpam-5567	236	4	,	,	PUNCT
ejpam-5567	236	5	(	(	PUNCT
ejpam-5567	236	6	f	f	X
ejpam-5567	236	7	,	,	PUNCT
ejpam-5567	236	8	a)c	a)c	X
ejpam-5567	236	9	˜̃∪(g	˜̃∪(g	PROPN
ejpam-5567	236	10	,	,	PUNCT
ejpam-5567	236	11	b)c	b)c	X
ejpam-5567	236	12	=	=	X
ejpam-5567	236	13	(	(	PUNCT
ejpam-5567	236	14	f	f	NOUN
ejpam-5567	236	15	c	c	PROPN
ejpam-5567	236	16	,	,	PUNCT
ejpam-5567	236	17	.	.	PUNCT
ejpam-5567	237	1	a)˜̃∪(gc	a)˜̃∪(gc	PROPN
ejpam-5567	237	2	,	,	PUNCT
ejpam-5567	237	3	.	.	PUNCT
ejpam-5567	238	1	b	b	X
ejpam-5567	238	2	)	)	PUNCT
ejpam-5567	238	3	=	=	SYM
ejpam-5567	238	4	(	(	PUNCT
ejpam-5567	238	5	k	k	NOUN
ejpam-5567	238	6	,	,	PUNCT
ejpam-5567	238	7	.	.	PUNCT
ejpam-5567	239	1	a∪	a∪	INTJ
ejpam-5567	239	2	.	.	PUNCT
ejpam-5567	240	1	b	b	X
ejpam-5567	240	2	)	)	PUNCT
ejpam-5567	240	3	,	,	PUNCT
ejpam-5567	240	4	where	where	SCONJ
ejpam-5567	240	5	k	k	X
ejpam-5567	240	6	(	(	PUNCT
ejpam-5567	240	7	.	.	PUNCT
ejpam-5567	241	1	e	e	X
ejpam-5567	241	2	)	)	PUNCT
ejpam-5567	241	3	=	=	PUNCT
ejpam-5567	241	4			PUNCT
ejpam-5567	241	5	(	(	PUNCT
ejpam-5567	241	6	u1	u1	NOUN
ejpam-5567	241	7	−x1	−x1	NOUN
ejpam-5567	241	8	,	,	PUNCT
ejpam-5567	241	9	u2	u2	PROPN
ejpam-5567	241	10	−	−	PROPN
ejpam-5567	241	11	y1	y1	PROPN
ejpam-5567	241	12	,	,	PUNCT
ejpam-5567	241	13	u3	u3	NOUN
ejpam-5567	241	14	−	−	PROPN
ejpam-5567	241	15	z̧1	z̧1	NOUN
ejpam-5567	241	16	)	)	PUNCT
ejpam-5567	241	17	,	,	PUNCT
ejpam-5567	241	18	e	e	PROPN
ejpam-5567	241	19	∈.	∈.	PROPN
ejpam-5567	241	20	a−	a−	PROPN
ejpam-5567	241	21	.	.	PUNCT
ejpam-5567	242	1	b	b	X
ejpam-5567	242	2	(	(	PUNCT
ejpam-5567	242	3	u1	u1	PROPN
ejpam-5567	242	4	−x2	−x2	PROPN
ejpam-5567	242	5	,	,	PUNCT
ejpam-5567	242	6	u2	u2	PROPN
ejpam-5567	242	7	−	−	PROPN
ejpam-5567	242	8	y2	y2	PROPN
ejpam-5567	242	9	,	,	PUNCT
ejpam-5567	242	10	u3	u3	NOUN
ejpam-5567	242	11	−	−	PROPN
ejpam-5567	242	12	z̧2	z̧2	NOUN
ejpam-5567	242	13	)	)	PUNCT
ejpam-5567	242	14	,	,	PUNCT
ejpam-5567	242	15	e	e	PROPN
ejpam-5567	242	16	∈.	∈.	PROPN
ejpam-5567	242	17	b−	b−	PROPN
ejpam-5567	242	18	.	.	PUNCT
ejpam-5567	243	1	a	a	DET
ejpam-5567	243	2	(	(	PUNCT
ejpam-5567	243	3	u1	u1	NOUN
ejpam-5567	243	4	−	−	PROPN
ejpam-5567	243	5	(	(	PUNCT
ejpam-5567	243	6	x1	x1	PROPN
ejpam-5567	243	7	∪x2	∪x2	ADJ
ejpam-5567	243	8	)	)	PUNCT
ejpam-5567	243	9	,	,	PUNCT
ejpam-5567	243	10	u2	u2	PROPN
ejpam-5567	243	11	−	−	PROPN
ejpam-5567	243	12	(	(	PUNCT
ejpam-5567	243	13	y1	y1	INTJ
ejpam-5567	243	14	∪	∪	X
ejpam-5567	243	15	y2	y2	NOUN
ejpam-5567	243	16	)	)	PUNCT
ejpam-5567	243	17	,	,	PUNCT
ejpam-5567	243	18	u3	u3	NOUN
ejpam-5567	243	19	−	−	PROPN
ejpam-5567	243	20	(	(	PUNCT
ejpam-5567	243	21	z̧1	z̧1	X
ejpam-5567	243	22	∪	∪	PROPN
ejpam-5567	243	23	z̧2	z̧2	NOUN
ejpam-5567	243	24	)	)	PUNCT
ejpam-5567	243	25	)	)	PUNCT
ejpam-5567	243	26	,	,	PUNCT
ejpam-5567	243	27	e	e	PROPN
ejpam-5567	243	28	∈.	∈.	PROPN
ejpam-5567	243	29	a∩	a∩	PROPN
ejpam-5567	243	30	.	.	PUNCT
ejpam-5567	244	1	b.	b.	PROPN
ejpam-5567	244	2			PROPN
ejpam-5567	244	3	finally	finally	ADV
ejpam-5567	244	4	,	,	PUNCT
ejpam-5567	244	5	hc	hc	PROPN
ejpam-5567	244	6	and	and	CCONJ
ejpam-5567	244	7	k	k	PROPN
ejpam-5567	244	8	are	be	AUX
ejpam-5567	244	9	the	the	DET
ejpam-5567	244	10	same	same	ADJ
ejpam-5567	244	11	.	.	PUNCT
ejpam-5567	245	1	thus	thus	ADV
ejpam-5567	245	2	,	,	PUNCT
ejpam-5567	245	3	the	the	DET
ejpam-5567	245	4	proof	proof	NOUN
ejpam-5567	245	5	is	be	AUX
ejpam-5567	245	6	completed	complete	VERB
ejpam-5567	245	7	.	.	PUNCT
ejpam-5567	246	1	(	(	PUNCT
ejpam-5567	246	2	v	v	X
ejpam-5567	246	3	)	)	PUNCT
ejpam-5567	246	4	it	it	PRON
ejpam-5567	246	5	is	be	AUX
ejpam-5567	246	6	proved	prove	VERB
ejpam-5567	246	7	in	in	ADP
ejpam-5567	246	8	a	a	DET
ejpam-5567	246	9	similar	similar	ADJ
ejpam-5567	246	10	way	way	NOUN
ejpam-5567	246	11	.	.	PUNCT
ejpam-5567	247	1	4	4	X
ejpam-5567	247	2	.	.	X
ejpam-5567	247	3	characterization	characterization	NOUN
ejpam-5567	247	4	of	of	ADP
ejpam-5567	247	5	some	some	DET
ejpam-5567	247	6	results	result	NOUN
ejpam-5567	247	7	in	in	ADP
ejpam-5567	247	8	terms	term	NOUN
ejpam-5567	247	9	of	of	ADP
ejpam-5567	247	10	operators	operator	NOUN
ejpam-5567	247	11	in	in	ADP
ejpam-5567	247	12	this	this	DET
ejpam-5567	247	13	section	section	NOUN
ejpam-5567	247	14	few	few	ADJ
ejpam-5567	247	15	results	result	NOUN
ejpam-5567	247	16	are	be	AUX
ejpam-5567	247	17	characterized	characterize	VERB
ejpam-5567	247	18	in	in	ADP
ejpam-5567	247	19	terms	term	NOUN
ejpam-5567	247	20	of	of	ADP
ejpam-5567	247	21	operators	operator	NOUN
ejpam-5567	247	22	.	.	PUNCT
ejpam-5567	248	1	these	these	DET
ejpam-5567	248	2	operators	operator	NOUN
ejpam-5567	248	3	are	be	AUX
ejpam-5567	248	4	union	union	NOUN
ejpam-5567	248	5	,	,	PUNCT
ejpam-5567	248	6	intersection	intersection	NOUN
ejpam-5567	248	7	,	,	PUNCT
ejpam-5567	248	8	and	and	CCONJ
ejpam-5567	248	9	and	and	CCONJ
ejpam-5567	248	10	or	or	CCONJ
ejpam-5567	248	11	respectively	respectively	ADV
ejpam-5567	248	12	.	.	PUNCT
ejpam-5567	249	1	examples	example	NOUN
ejpam-5567	249	2	are	be	AUX
ejpam-5567	249	3	generated	generate	VERB
ejpam-5567	249	4	to	to	PART
ejpam-5567	249	5	understand	understand	VERB
ejpam-5567	249	6	the	the	DET
ejpam-5567	249	7	applications	application	NOUN
ejpam-5567	249	8	and	and	CCONJ
ejpam-5567	249	9	logic	logic	NOUN
ejpam-5567	249	10	of	of	ADP
ejpam-5567	249	11	these	these	DET
ejpam-5567	249	12	operators	operator	NOUN
ejpam-5567	249	13	.	.	PUNCT
ejpam-5567	250	1	proposition	proposition	NOUN
ejpam-5567	250	2	3	3	X
ejpam-5567	250	3	.	.	PUNCT
ejpam-5567	251	1	let	let	VERB
ejpam-5567	251	2	(	(	PUNCT
ejpam-5567	251	3	f	f	X
ejpam-5567	251	4	,	,	PUNCT
ejpam-5567	251	5	a	a	PRON
ejpam-5567	251	6	)	)	PUNCT
ejpam-5567	251	7	,	,	PUNCT
ejpam-5567	251	8	(	(	PUNCT
ejpam-5567	251	9	g	g	NOUN
ejpam-5567	251	10	,	,	PUNCT
ejpam-5567	251	11	b	b	NOUN
ejpam-5567	251	12	)	)	PUNCT
ejpam-5567	251	13	,	,	PUNCT
ejpam-5567	251	14	and	and	CCONJ
ejpam-5567	251	15	(	(	PUNCT
ejpam-5567	251	16	h	h	NOUN
ejpam-5567	251	17	,	,	PUNCT
ejpam-5567	251	18	ć	ć	PROPN
ejpam-5567	251	19	)	)	PUNCT
ejpam-5567	251	20	be	be	VERB
ejpam-5567	251	21	three	three	NUM
ejpam-5567	251	22	ternary	ternary	ADJ
ejpam-5567	251	23	soft	soft	ADJ
ejpam-5567	251	24	sets	set	NOUN
ejpam-5567	251	25	.	.	PUNCT
ejpam-5567	252	1	then	then	ADV
ejpam-5567	252	2	we	we	PRON
ejpam-5567	252	3	have	have	VERB
ejpam-5567	252	4	the	the	DET
ejpam-5567	252	5	following	follow	VERB
ejpam-5567	252	6	results	result	NOUN
ejpam-5567	252	7	:	:	PUNCT
ejpam-5567	252	8	(	(	PUNCT
ejpam-5567	252	9	i	i	NOUN
ejpam-5567	252	10	)	)	PUNCT
ejpam-5567	252	11	(	(	PUNCT
ejpam-5567	252	12	f	f	X
ejpam-5567	252	13	,	,	PUNCT
ejpam-5567	252	14	a)˜̃∪((g	a)˜̃∪((g	PROPN
ejpam-5567	252	15	,	,	PUNCT
ejpam-5567	252	16	b)˜̃∩(h	b)˜̃∩(h	PROPN
ejpam-5567	252	17	,	,	PUNCT
ejpam-5567	252	18	ć	ć	PROPN
ejpam-5567	252	19	)	)	PUNCT
ejpam-5567	252	20	)	)	PUNCT
ejpam-5567	253	1	=	=	PUNCT
ejpam-5567	253	2	(	(	PUNCT
ejpam-5567	253	3	(	(	PUNCT
ejpam-5567	253	4	f	f	X
ejpam-5567	253	5	,	,	PUNCT
ejpam-5567	253	6	a)˜̃∪(g	a)˜̃∪(g	PROPN
ejpam-5567	253	7	,	,	PUNCT
ejpam-5567	253	8	b	b	NOUN
ejpam-5567	253	9	)	)	PUNCT
ejpam-5567	253	10	)	)	PUNCT
ejpam-5567	253	11	˜̃∩((f	˜̃∩((f	NOUN
ejpam-5567	253	12	,	,	PUNCT
ejpam-5567	253	13	a)˜̃∪(h	a)˜̃∪(h	PROPN
ejpam-5567	253	14	,	,	PUNCT
ejpam-5567	253	15	ć	ć	PROPN
ejpam-5567	253	16	)	)	PUNCT
ejpam-5567	253	17	)	)	PUNCT
ejpam-5567	253	18	.	.	PUNCT
ejpam-5567	254	1	(	(	PUNCT
ejpam-5567	254	2	ii	ii	NOUN
ejpam-5567	254	3	)	)	PUNCT
ejpam-5567	254	4	(	(	PUNCT
ejpam-5567	254	5	f	f	X
ejpam-5567	254	6	,	,	PUNCT
ejpam-5567	254	7	a)˜̃∩((g	a)˜̃∩((g	ADJ
ejpam-5567	254	8	,	,	PUNCT
ejpam-5567	254	9	b)˜̃∪(h	b)˜̃∪(h	PROPN
ejpam-5567	254	10	,	,	PUNCT
ejpam-5567	254	11	ć	ć	PROPN
ejpam-5567	254	12	)	)	PUNCT
ejpam-5567	254	13	)	)	PUNCT
ejpam-5567	255	1	=	=	PUNCT
ejpam-5567	256	1	(	(	PUNCT
ejpam-5567	256	2	(	(	PUNCT
ejpam-5567	256	3	f	f	X
ejpam-5567	256	4	,	,	PUNCT
ejpam-5567	256	5	a)˜̃∩(g	a)˜̃∩(g	PROPN
ejpam-5567	256	6	,	,	PUNCT
ejpam-5567	256	7	b	b	NOUN
ejpam-5567	256	8	)	)	PUNCT
ejpam-5567	256	9	)	)	PUNCT
ejpam-5567	256	10	˜̃∪((f	˜̃∪((f	NOUN
ejpam-5567	256	11	,	,	PUNCT
ejpam-5567	256	12	a)˜̃∩(h	a)˜̃∩(h	PROPN
ejpam-5567	256	13	,	,	PUNCT
ejpam-5567	256	14	ć	ć	PROPN
ejpam-5567	256	15	)	)	PUNCT
ejpam-5567	256	16	)	)	PUNCT
ejpam-5567	256	17	.	.	PUNCT
ejpam-5567	257	1	proof	proof	NOUN
ejpam-5567	257	2	.	.	PUNCT
ejpam-5567	258	1	it	it	PRON
ejpam-5567	258	2	is	be	AUX
ejpam-5567	258	3	obvious	obvious	ADJ
ejpam-5567	258	4	.	.	PUNCT
ejpam-5567	259	1	definition	definition	NOUN
ejpam-5567	259	2	21	21	NUM
ejpam-5567	259	3	.	.	PUNCT
ejpam-5567	260	1	the	the	DET
ejpam-5567	260	2	difference	difference	NOUN
ejpam-5567	260	3	of	of	ADP
ejpam-5567	260	4	two	two	NUM
ejpam-5567	260	5	ternary	ternary	ADJ
ejpam-5567	260	6	sets	set	NOUN
ejpam-5567	260	7	(	(	PUNCT
ejpam-5567	260	8	f	f	X
ejpam-5567	260	9	,	,	PUNCT
ejpam-5567	260	10	a	a	PRON
ejpam-5567	260	11	)	)	PUNCT
ejpam-5567	260	12	and	and	CCONJ
ejpam-5567	260	13	(	(	PUNCT
ejpam-5567	260	14	g	g	NOUN
ejpam-5567	260	15	,	,	PUNCT
ejpam-5567	260	16	b	b	NOUN
ejpam-5567	260	17	)	)	PUNCT
ejpam-5567	260	18	over	over	ADP
ejpam-5567	260	19	the	the	DET
ejpam-5567	260	20	common	common	ADJ
ejpam-5567	260	21	u1	u1	NOUN
ejpam-5567	260	22	,	,	PUNCT
ejpam-5567	260	23	u2	u2	PROPN
ejpam-5567	260	24	,	,	PUNCT
ejpam-5567	260	25	u3	u3	NOUN
ejpam-5567	260	26	is	be	AUX
ejpam-5567	260	27	the	the	DET
ejpam-5567	260	28	ternary	ternary	ADJ
ejpam-5567	260	29	soft	soft	ADJ
ejpam-5567	260	30	set	set	NOUN
ejpam-5567	260	31	(	(	PUNCT
ejpam-5567	260	32	h	h	NOUN
ejpam-5567	260	33	,	,	PUNCT
ejpam-5567	260	34	a	a	PRON
ejpam-5567	260	35	)	)	PUNCT
ejpam-5567	260	36	,	,	PUNCT
ejpam-5567	260	37	where	where	SCONJ
ejpam-5567	260	38	h(e	h(e	NOUN
ejpam-5567	260	39	)	)	PUNCT
ejpam-5567	261	1	=	=	PUNCT
ejpam-5567	262	1	(	(	PUNCT
ejpam-5567	262	2	x1	x1	PROPN
ejpam-5567	262	3	−x2	−x2	PROPN
ejpam-5567	262	4	,	,	PUNCT
ejpam-5567	262	5	y1	y1	NOUN
ejpam-5567	262	6	−	−	PROPN
ejpam-5567	262	7	y2	y2	PROPN
ejpam-5567	262	8	,	,	PUNCT
ejpam-5567	262	9	z̧1	z̧1	X
ejpam-5567	262	10	−	−	PROPN
ejpam-5567	262	11	z̧2	z̧2	NOUN
ejpam-5567	262	12	)	)	PUNCT
ejpam-5567	262	13	for	for	ADP
ejpam-5567	262	14	each	each	DET
ejpam-5567	262	15	e	e	PROPN
ejpam-5567	262	16	∈	∈	PROPN
ejpam-5567	262	17	a	a	DET
ejpam-5567	262	18	such	such	ADJ
ejpam-5567	262	19	that	that	PRON
ejpam-5567	262	20	(	(	PUNCT
ejpam-5567	262	21	f	f	X
ejpam-5567	262	22	,	,	PUNCT
ejpam-5567	262	23	a	a	PRON
ejpam-5567	262	24	)	)	PUNCT
ejpam-5567	262	25	=	=	SYM
ejpam-5567	262	26	(	(	PUNCT
ejpam-5567	262	27	x1	x1	PROPN
ejpam-5567	262	28	,	,	PUNCT
ejpam-5567	262	29	y1	y1	NOUN
ejpam-5567	262	30	,	,	PUNCT
ejpam-5567	262	31	z̧1	z̧1	X
ejpam-5567	262	32	)	)	PUNCT
ejpam-5567	262	33	and	and	CCONJ
ejpam-5567	262	34	(	(	PUNCT
ejpam-5567	262	35	g	g	NOUN
ejpam-5567	262	36	,	,	PUNCT
ejpam-5567	262	37	b	b	NOUN
ejpam-5567	262	38	)	)	PUNCT
ejpam-5567	262	39	=	=	SYM
ejpam-5567	262	40	(	(	PUNCT
ejpam-5567	262	41	x2	x2	PROPN
ejpam-5567	262	42	,	,	PUNCT
ejpam-5567	262	43	y2	y2	PROPN
ejpam-5567	262	44	,	,	PUNCT
ejpam-5567	262	45	z̧2	z̧2	NOUN
ejpam-5567	262	46	)	)	PUNCT
ejpam-5567	262	47	.	.	PUNCT
ejpam-5567	263	1	m.	m.	NOUN
ejpam-5567	263	2	nawaz	nawaz	PROPN
ejpam-5567	263	3	et	et	PROPN
ejpam-5567	263	4	al	al	PROPN
ejpam-5567	263	5	.	.	PUNCT
ejpam-5567	263	6	/	/	SYM
ejpam-5567	263	7	eur	eur	PROPN
ejpam-5567	263	8	.	.	PUNCT
ejpam-5567	264	1	j.	j.	PROPN
ejpam-5567	264	2	pure	pure	PROPN
ejpam-5567	264	3	appl	appl	PROPN
ejpam-5567	264	4	.	.	PROPN
ejpam-5567	264	5	math	math	PROPN
ejpam-5567	264	6	,	,	PUNCT
ejpam-5567	264	7	18	18	NUM
ejpam-5567	264	8	(	(	PUNCT
ejpam-5567	264	9	1	1	NUM
ejpam-5567	264	10	)	)	PUNCT
ejpam-5567	264	11	(	(	PUNCT
ejpam-5567	264	12	2025	2025	NUM
ejpam-5567	264	13	)	)	PUNCT
ejpam-5567	264	14	,	,	PUNCT
ejpam-5567	264	15	5567	5567	NUM
ejpam-5567	264	16	12	12	NUM
ejpam-5567	264	17	of	of	ADP
ejpam-5567	264	18	45	45	NUM
ejpam-5567	264	19	example	example	NOUN
ejpam-5567	264	20	8	8	NUM
ejpam-5567	264	21	.	.	PUNCT
ejpam-5567	264	22	consider	consider	VERB
ejpam-5567	264	23	the	the	DET
ejpam-5567	264	24	following	follow	VERB
ejpam-5567	264	25	sets	set	NOUN
ejpam-5567	264	26	:	:	PUNCT
ejpam-5567	264	27	u1	u1	NOUN
ejpam-5567	264	28	=	=	SYM
ejpam-5567	264	29	{	{	PUNCT
ejpam-5567	264	30	ć1	ć1	NOUN
ejpam-5567	264	31	,	,	PUNCT
ejpam-5567	264	32	ć2	ć2	PROPN
ejpam-5567	264	33	,	,	PUNCT
ejpam-5567	264	34	ć3	ć3	NOUN
ejpam-5567	264	35	,	,	PUNCT
ejpam-5567	264	36	ć4	ć4	NOUN
ejpam-5567	264	37	,	,	PUNCT
ejpam-5567	264	38	ć5	ć5	PROPN
ejpam-5567	264	39	}	}	PUNCT
ejpam-5567	264	40	is	be	AUX
ejpam-5567	264	41	the	the	DET
ejpam-5567	264	42	set	set	NOUN
ejpam-5567	264	43	of	of	ADP
ejpam-5567	264	44	computers	computer	NOUN
ejpam-5567	264	45	,	,	PUNCT
ejpam-5567	264	46	u2	u2	NOUN
ejpam-5567	264	47	=	=	PUNCT
ejpam-5567	264	48	{	{	PUNCT
ejpam-5567	264	49	ḿ1	ḿ1	NOUN
ejpam-5567	264	50	,	,	PUNCT
ejpam-5567	264	51	ḿ2	ḿ2	NOUN
ejpam-5567	264	52	,	,	PUNCT
ejpam-5567	264	53	ḿ3	ḿ3	NOUN
ejpam-5567	264	54	,	,	PUNCT
ejpam-5567	264	55	ḿ4	ḿ4	NOUN
ejpam-5567	264	56	,	,	PUNCT
ejpam-5567	264	57	ḿ5	ḿ5	PROPN
ejpam-5567	264	58	}	}	PUNCT
ejpam-5567	264	59	is	be	AUX
ejpam-5567	264	60	the	the	DET
ejpam-5567	264	61	set	set	NOUN
ejpam-5567	264	62	of	of	ADP
ejpam-5567	264	63	mobile	mobile	ADJ
ejpam-5567	264	64	phones	phone	NOUN
ejpam-5567	264	65	,	,	PUNCT
ejpam-5567	264	66	u3	u3	NOUN
ejpam-5567	264	67	=	=	SYM
ejpam-5567	264	68	{	{	PUNCT
ejpam-5567	264	69	h1	h1	PROPN
ejpam-5567	264	70	,	,	PUNCT
ejpam-5567	264	71	h2	h2	PROPN
ejpam-5567	264	72	,	,	PUNCT
ejpam-5567	264	73	h3	h3	NOUN
ejpam-5567	264	74	,	,	PUNCT
ejpam-5567	264	75	h4	h4	NOUN
ejpam-5567	264	76	,	,	PUNCT
ejpam-5567	264	77	h5	h5	PROPN
ejpam-5567	264	78	}	}	PUNCT
ejpam-5567	264	79	is	be	AUX
ejpam-5567	264	80	the	the	DET
ejpam-5567	264	81	set	set	NOUN
ejpam-5567	264	82	of	of	ADP
ejpam-5567	264	83	hand	hand	NOUN
ejpam-5567	264	84	-	-	PUNCT
ejpam-5567	264	85	free	free	ADJ
ejpam-5567	264	86	,	,	PUNCT
ejpam-5567	264	87	e	e	NOUN
ejpam-5567	264	88	=	=	PRON
ejpam-5567	264	89	{	{	PUNCT
ejpam-5567	264	90	e1	e1	NOUN
ejpam-5567	264	91	=	=	SYM
ejpam-5567	264	92	expensive	expensive	ADJ
ejpam-5567	264	93	,	,	PUNCT
ejpam-5567	264	94	e2	e2	PROPN
ejpam-5567	264	95	=	=	SYM
ejpam-5567	264	96	outlook	outlook	NOUN
ejpam-5567	264	97	,	,	PUNCT
ejpam-5567	264	98	e3	e3	NOUN
ejpam-5567	264	99	=	=	SYM
ejpam-5567	264	100	functions	function	NOUN
ejpam-5567	264	101	}	}	PUNCT
ejpam-5567	264	102	.	.	PUNCT
ejpam-5567	265	1	let	let	VERB
ejpam-5567	265	2	(	(	PUNCT
ejpam-5567	265	3	f	f	X
ejpam-5567	265	4	,	,	PUNCT
ejpam-5567	265	5	e	e	NOUN
ejpam-5567	265	6	)	)	PUNCT
ejpam-5567	265	7	,	,	PUNCT
ejpam-5567	265	8	(	(	PUNCT
ejpam-5567	265	9	g	g	NOUN
ejpam-5567	265	10	,	,	PUNCT
ejpam-5567	265	11	e	e	NOUN
ejpam-5567	265	12	)	)	PUNCT
ejpam-5567	265	13	be	be	VERB
ejpam-5567	265	14	two	two	NUM
ejpam-5567	265	15	ternary	ternary	ADJ
ejpam-5567	265	16	soft	soft	ADJ
ejpam-5567	265	17	sets	set	NOUN
ejpam-5567	265	18	as	as	SCONJ
ejpam-5567	265	19	follows	follow	VERB
ejpam-5567	265	20	:	:	PUNCT
ejpam-5567	265	21	(	(	PUNCT
ejpam-5567	265	22	f	f	X
ejpam-5567	265	23	,	,	PUNCT
ejpam-5567	265	24	e	e	NOUN
ejpam-5567	265	25	)	)	PUNCT
ejpam-5567	265	26	=	=	SYM
ejpam-5567	266	1			PUNCT
ejpam-5567	266	2	(	(	PUNCT
ejpam-5567	266	3	e1	e1	NOUN
ejpam-5567	266	4	,	,	PUNCT
ejpam-5567	266	5	(	(	PUNCT
ejpam-5567	266	6	{	{	PUNCT
ejpam-5567	266	7	ć1	ć1	NOUN
ejpam-5567	266	8	,	,	PUNCT
ejpam-5567	266	9	ć3	ć3	NOUN
ejpam-5567	266	10	}	}	PUNCT
ejpam-5567	266	11	,	,	PUNCT
ejpam-5567	266	12	{	{	PUNCT
ejpam-5567	266	13	ḿ2	ḿ2	NOUN
ejpam-5567	266	14	,	,	PUNCT
ejpam-5567	266	15	ḿ3	ḿ3	NOUN
ejpam-5567	266	16	}	}	PUNCT
ejpam-5567	266	17	,	,	PUNCT
ejpam-5567	266	18	{	{	PUNCT
ejpam-5567	266	19	h2	h2	NOUN
ejpam-5567	266	20	,	,	PUNCT
ejpam-5567	266	21	h3	h3	NOUN
ejpam-5567	266	22	}	}	PUNCT
ejpam-5567	266	23	)	)	PUNCT
ejpam-5567	266	24	)	)	PUNCT
ejpam-5567	266	25	,	,	PUNCT
ejpam-5567	266	26	(	(	PUNCT
ejpam-5567	266	27	e2	e2	PROPN
ejpam-5567	266	28	,	,	PUNCT
ejpam-5567	266	29	(	(	PUNCT
ejpam-5567	266	30	{	{	PUNCT
ejpam-5567	266	31	ć4	ć4	NOUN
ejpam-5567	266	32	}	}	PUNCT
ejpam-5567	266	33	,	,	PUNCT
ejpam-5567	266	34	{	{	PUNCT
ejpam-5567	266	35	ḿ1	ḿ1	NOUN
ejpam-5567	266	36	,	,	PUNCT
ejpam-5567	266	37	ḿ5	ḿ5	PROPN
ejpam-5567	266	38	}	}	PUNCT
ejpam-5567	266	39	,	,	PUNCT
ejpam-5567	266	40	{	{	PUNCT
ejpam-5567	266	41	h1	h1	PROPN
ejpam-5567	266	42	,	,	PUNCT
ejpam-5567	266	43	h5	h5	PROPN
ejpam-5567	266	44	}	}	PUNCT
ejpam-5567	266	45	)	)	PUNCT
ejpam-5567	266	46	)	)	PUNCT
ejpam-5567	266	47	,	,	PUNCT
ejpam-5567	266	48	(	(	PUNCT
ejpam-5567	266	49	e3	e3	NOUN
ejpam-5567	266	50	,	,	PUNCT
ejpam-5567	266	51	(	(	PUNCT
ejpam-5567	266	52	{	{	PUNCT
ejpam-5567	266	53	c3	c3	NOUN
ejpam-5567	266	54	,	,	PUNCT
ejpam-5567	266	55	c4	c4	NOUN
ejpam-5567	266	56	}	}	PUNCT
ejpam-5567	266	57	,	,	PUNCT
ejpam-5567	266	58	{	{	PUNCT
ejpam-5567	266	59	m2	m2	PROPN
ejpam-5567	266	60	}	}	PUNCT
ejpam-5567	266	61	,	,	PUNCT
ejpam-5567	266	62	{	{	PUNCT
ejpam-5567	266	63	h2	h2	NOUN
ejpam-5567	266	64	}	}	PUNCT
ejpam-5567	266	65	)	)	PUNCT
ejpam-5567	266	66	)	)	PUNCT
ejpam-5567	266	67	.	.	PUNCT
ejpam-5567	267	1			NOUN
ejpam-5567	267	2	(	(	PUNCT
ejpam-5567	267	3	g	g	NOUN
ejpam-5567	267	4	,	,	PUNCT
ejpam-5567	267	5	e	e	NOUN
ejpam-5567	267	6	)	)	PUNCT
ejpam-5567	267	7	=	=	SYM
ejpam-5567	267	8			PUNCT
ejpam-5567	267	9	(	(	PUNCT
ejpam-5567	267	10	e1	e1	NOUN
ejpam-5567	267	11	,	,	PUNCT
ejpam-5567	267	12	(	(	PUNCT
ejpam-5567	267	13	{	{	PUNCT
ejpam-5567	267	14	ć1	ć1	NOUN
ejpam-5567	267	15	,	,	PUNCT
ejpam-5567	267	16	ć4	ć4	NOUN
ejpam-5567	267	17	}	}	PUNCT
ejpam-5567	267	18	,	,	PUNCT
ejpam-5567	267	19	{	{	PUNCT
ejpam-5567	267	20	ḿ1	ḿ1	NOUN
ejpam-5567	267	21	}	}	PUNCT
ejpam-5567	267	22	,	,	PUNCT
ejpam-5567	267	23	{	{	PUNCT
ejpam-5567	267	24	h1	h1	NOUN
ejpam-5567	267	25	}	}	PUNCT
ejpam-5567	267	26	)	)	PUNCT
ejpam-5567	267	27	)	)	PUNCT
ejpam-5567	267	28	,	,	PUNCT
ejpam-5567	267	29	(	(	PUNCT
ejpam-5567	267	30	e2	e2	PROPN
ejpam-5567	267	31	,	,	PUNCT
ejpam-5567	267	32	(	(	PUNCT
ejpam-5567	267	33	{	{	PUNCT
ejpam-5567	267	34	ć4	ć4	NOUN
ejpam-5567	267	35	}	}	PUNCT
ejpam-5567	267	36	,	,	PUNCT
ejpam-5567	267	37	{	{	PUNCT
ejpam-5567	267	38	ḿ2	ḿ2	NOUN
ejpam-5567	267	39	,	,	PUNCT
ejpam-5567	267	40	ḿ5	ḿ5	PROPN
ejpam-5567	267	41	}	}	PUNCT
ejpam-5567	267	42	,	,	PUNCT
ejpam-5567	267	43	{	{	PUNCT
ejpam-5567	267	44	h2	h2	NOUN
ejpam-5567	267	45	,	,	PUNCT
ejpam-5567	267	46	h5	h5	PROPN
ejpam-5567	267	47	}	}	PUNCT
ejpam-5567	267	48	)	)	PUNCT
ejpam-5567	267	49	)	)	PUNCT
ejpam-5567	267	50	,	,	PUNCT
ejpam-5567	267	51	(	(	PUNCT
ejpam-5567	267	52	e3	e3	NOUN
ejpam-5567	267	53	,	,	PUNCT
ejpam-5567	267	54	(	(	PUNCT
ejpam-5567	267	55	{	{	PUNCT
ejpam-5567	267	56	ć4	ć4	NOUN
ejpam-5567	267	57	}	}	PUNCT
ejpam-5567	267	58	,	,	PUNCT
ejpam-5567	267	59	{	{	PUNCT
ejpam-5567	267	60	ḿ2	ḿ2	NOUN
ejpam-5567	267	61	}	}	PUNCT
ejpam-5567	267	62	,	,	PUNCT
ejpam-5567	267	63	{	{	PUNCT
ejpam-5567	267	64	h2	h2	NOUN
ejpam-5567	267	65	}	}	PUNCT
ejpam-5567	267	66	)	)	PUNCT
ejpam-5567	267	67	)	)	PUNCT
ejpam-5567	267	68	.	.	PUNCT
ejpam-5567	268	1			NOUN
ejpam-5567	268	2	then	then	ADV
ejpam-5567	268	3	(	(	PUNCT
ejpam-5567	268	4	h	h	NOUN
ejpam-5567	268	5	,	,	PUNCT
ejpam-5567	268	6	e	e	NOUN
ejpam-5567	268	7	)	)	PUNCT
ejpam-5567	268	8	=	=	PUNCT
ejpam-5567	268	9			PUNCT
ejpam-5567	268	10	(	(	PUNCT
ejpam-5567	268	11	e1	e1	NOUN
ejpam-5567	268	12	,	,	PUNCT
ejpam-5567	268	13	(	(	PUNCT
ejpam-5567	268	14	{	{	PUNCT
ejpam-5567	268	15	ć3	ć3	NOUN
ejpam-5567	268	16	}	}	PUNCT
ejpam-5567	268	17	,	,	PUNCT
ejpam-5567	268	18	{	{	PUNCT
ejpam-5567	268	19	ḿ2	ḿ2	NOUN
ejpam-5567	268	20	,	,	PUNCT
ejpam-5567	268	21	ḿ3	ḿ3	NOUN
ejpam-5567	268	22	}	}	PUNCT
ejpam-5567	268	23	,	,	PUNCT
ejpam-5567	268	24	{	{	PUNCT
ejpam-5567	268	25	h2	h2	NOUN
ejpam-5567	268	26	,	,	PUNCT
ejpam-5567	268	27	h3	h3	NOUN
ejpam-5567	268	28	}	}	PUNCT
ejpam-5567	268	29	)	)	PUNCT
ejpam-5567	268	30	)	)	PUNCT
ejpam-5567	268	31	,	,	PUNCT
ejpam-5567	268	32	(	(	PUNCT
ejpam-5567	268	33	e2	e2	PROPN
ejpam-5567	268	34	,	,	PUNCT
ejpam-5567	268	35	(	(	PUNCT
ejpam-5567	268	36	∅	∅	NOUN
ejpam-5567	268	37	,	,	PUNCT
ejpam-5567	268	38	{	{	PUNCT
ejpam-5567	268	39	ḿ1	ḿ1	NOUN
ejpam-5567	268	40	}	}	PUNCT
ejpam-5567	268	41	,	,	PUNCT
ejpam-5567	268	42	{	{	PUNCT
ejpam-5567	268	43	h1	h1	NOUN
ejpam-5567	268	44	}	}	PUNCT
ejpam-5567	268	45	)	)	PUNCT
ejpam-5567	268	46	)	)	PUNCT
ejpam-5567	268	47	,	,	PUNCT
ejpam-5567	268	48	(	(	PUNCT
ejpam-5567	268	49	e3	e3	NOUN
ejpam-5567	268	50	,	,	PUNCT
ejpam-5567	268	51	(	(	PUNCT
ejpam-5567	268	52	{	{	PUNCT
ejpam-5567	268	53	ć3	ć3	NOUN
ejpam-5567	268	54	}	}	PUNCT
ejpam-5567	268	55	,	,	PUNCT
ejpam-5567	268	56	∅	∅	NOUN
ejpam-5567	268	57	,	,	PUNCT
ejpam-5567	268	58	∅	∅	NOUN
ejpam-5567	268	59	)	)	PUNCT
ejpam-5567	268	60	)	)	PUNCT
ejpam-5567	268	61	.	.	PUNCT
ejpam-5567	269	1			NOUN
ejpam-5567	269	2	definition	definition	NOUN
ejpam-5567	269	3	22	22	NUM
ejpam-5567	269	4	.	.	PUNCT
ejpam-5567	270	1	the	the	DET
ejpam-5567	270	2	symmetric	symmetric	ADJ
ejpam-5567	270	3	difference	difference	NOUN
ejpam-5567	270	4	of	of	ADP
ejpam-5567	270	5	two	two	NUM
ejpam-5567	270	6	ternary	ternary	ADJ
ejpam-5567	270	7	soft	soft	ADJ
ejpam-5567	270	8	sets	set	NOUN
ejpam-5567	270	9	(	(	PUNCT
ejpam-5567	270	10	f	f	X
ejpam-5567	270	11	,	,	PUNCT
ejpam-5567	270	12	a	a	PRON
ejpam-5567	270	13	)	)	PUNCT
ejpam-5567	270	14	and	and	CCONJ
ejpam-5567	270	15	(	(	PUNCT
ejpam-5567	270	16	g	g	NOUN
ejpam-5567	270	17	,	,	PUNCT
ejpam-5567	270	18	b	b	NOUN
ejpam-5567	270	19	)	)	PUNCT
ejpam-5567	270	20	over	over	ADP
ejpam-5567	270	21	the	the	DET
ejpam-5567	270	22	common	common	ADJ
ejpam-5567	270	23	u1	u1	NOUN
ejpam-5567	270	24	,	,	PUNCT
ejpam-5567	270	25	u2	u2	PROPN
ejpam-5567	270	26	,	,	PUNCT
ejpam-5567	270	27	u3	u3	NOUN
ejpam-5567	270	28	is	be	AUX
ejpam-5567	270	29	the	the	DET
ejpam-5567	270	30	ternary	ternary	ADJ
ejpam-5567	270	31	soft	soft	ADJ
ejpam-5567	270	32	set	set	NOUN
ejpam-5567	270	33	(	(	PUNCT
ejpam-5567	270	34	h	h	NOUN
ejpam-5567	270	35	,	,	PUNCT
ejpam-5567	270	36	a	a	PRON
ejpam-5567	270	37	)	)	PUNCT
ejpam-5567	270	38	defined	define	VERB
ejpam-5567	270	39	as	as	ADP
ejpam-5567	270	40	:	:	PUNCT
ejpam-5567	270	41	(	(	PUNCT
ejpam-5567	270	42	h	h	NOUN
ejpam-5567	270	43	,	,	PUNCT
ejpam-5567	270	44	a	a	PRON
ejpam-5567	270	45	)	)	PUNCT
ejpam-5567	270	46	=	=	SYM
ejpam-5567	270	47	(	(	PUNCT
ejpam-5567	270	48	(	(	PUNCT
ejpam-5567	270	49	f	f	X
ejpam-5567	270	50	,	,	PUNCT
ejpam-5567	270	51	a)−	a)−	PROPN
ejpam-5567	270	52	(	(	PUNCT
ejpam-5567	270	53	g	g	NOUN
ejpam-5567	270	54	,	,	PUNCT
ejpam-5567	270	55	a))˜̃∪((g	a))˜̃∪((g	ADJ
ejpam-5567	270	56	,	,	PUNCT
ejpam-5567	270	57	a)−	a)−	PROPN
ejpam-5567	270	58	(	(	PUNCT
ejpam-5567	270	59	f	f	X
ejpam-5567	270	60	,	,	PUNCT
ejpam-5567	270	61	a	a	PRON
ejpam-5567	270	62	)	)	PUNCT
ejpam-5567	270	63	)	)	PUNCT
ejpam-5567	270	64	.	.	PUNCT
ejpam-5567	271	1	we	we	PRON
ejpam-5567	271	2	denote	denote	VERB
ejpam-5567	271	3	it	it	PRON
ejpam-5567	271	4	as	as	ADP
ejpam-5567	271	5	:	:	PUNCT
ejpam-5567	271	6	(	(	PUNCT
ejpam-5567	271	7	h	h	NOUN
ejpam-5567	271	8	,	,	PUNCT
ejpam-5567	271	9	a	a	PRON
ejpam-5567	271	10	)	)	PUNCT
ejpam-5567	271	11	=	=	SYM
ejpam-5567	271	12	(	(	PUNCT
ejpam-5567	271	13	f	f	X
ejpam-5567	271	14	,	,	PUNCT
ejpam-5567	271	15	a)∆(g	a)∆(g	PROPN
ejpam-5567	271	16	,	,	PUNCT
ejpam-5567	271	17	a	a	PRON
ejpam-5567	271	18	)	)	PUNCT
ejpam-5567	271	19	.	.	PUNCT
ejpam-5567	272	1	example	example	NOUN
ejpam-5567	273	1	9	9	NUM
ejpam-5567	273	2	.	.	PUNCT
ejpam-5567	274	1	in	in	ADP
ejpam-5567	274	2	the	the	DET
ejpam-5567	274	3	example	example	NOUN
ejpam-5567	274	4	8	8	NUM
ejpam-5567	274	5	,	,	PUNCT
ejpam-5567	274	6	the	the	DET
ejpam-5567	274	7	symmetric	symmetric	ADJ
ejpam-5567	274	8	difference	difference	NOUN
ejpam-5567	274	9	of	of	ADP
ejpam-5567	274	10	two	two	NUM
ejpam-5567	274	11	⟨t	⟨t	NOUN
ejpam-5567	274	12	,	,	PUNCT
ejpam-5567	274	13	s	s	X
ejpam-5567	274	14	,	,	PUNCT
ejpam-5567	274	15	ss⟩	ss⟩	X
ejpam-5567	274	16	(	(	PUNCT
ejpam-5567	274	17	f	f	X
ejpam-5567	274	18	,	,	PUNCT
ejpam-5567	274	19	e	e	NOUN
ejpam-5567	274	20	)	)	PUNCT
ejpam-5567	274	21	and	and	CCONJ
ejpam-5567	274	22	(	(	PUNCT
ejpam-5567	274	23	g	g	NOUN
ejpam-5567	274	24	,	,	PUNCT
ejpam-5567	274	25	e	e	NOUN
ejpam-5567	274	26	)	)	PUNCT
ejpam-5567	274	27	is	be	AUX
ejpam-5567	274	28	the	the	DET
ejpam-5567	274	29	ternary	ternary	ADJ
ejpam-5567	274	30	soft	soft	ADJ
ejpam-5567	274	31	set	set	NOUN
ejpam-5567	274	32	(	(	PUNCT
ejpam-5567	274	33	h	h	NOUN
ejpam-5567	274	34	,	,	PUNCT
ejpam-5567	274	35	e	e	NOUN
ejpam-5567	274	36	)	)	PUNCT
ejpam-5567	274	37	as	as	SCONJ
ejpam-5567	274	38	follows	follow	VERB
ejpam-5567	274	39	:	:	PUNCT
ejpam-5567	274	40	(	(	PUNCT
ejpam-5567	274	41	f	f	X
ejpam-5567	274	42	,	,	PUNCT
ejpam-5567	274	43	e	e	NOUN
ejpam-5567	274	44	)	)	PUNCT
ejpam-5567	274	45	=	=	SYM
ejpam-5567	275	1			PUNCT
ejpam-5567	275	2	(	(	PUNCT
ejpam-5567	275	3	e1	e1	NOUN
ejpam-5567	275	4	,	,	PUNCT
ejpam-5567	275	5	(	(	PUNCT
ejpam-5567	275	6	{	{	PUNCT
ejpam-5567	275	7	ć1	ć1	NOUN
ejpam-5567	275	8	,	,	PUNCT
ejpam-5567	275	9	ć3	ć3	NOUN
ejpam-5567	275	10	}	}	PUNCT
ejpam-5567	275	11	,	,	PUNCT
ejpam-5567	275	12	{	{	PUNCT
ejpam-5567	275	13	ḿ2	ḿ2	NOUN
ejpam-5567	275	14	,	,	PUNCT
ejpam-5567	275	15	ḿ3	ḿ3	NOUN
ejpam-5567	275	16	}	}	PUNCT
ejpam-5567	275	17	,	,	PUNCT
ejpam-5567	275	18	{	{	PUNCT
ejpam-5567	275	19	h2	h2	NOUN
ejpam-5567	275	20	,	,	PUNCT
ejpam-5567	275	21	h3	h3	NOUN
ejpam-5567	275	22	}	}	PUNCT
ejpam-5567	275	23	)	)	PUNCT
ejpam-5567	275	24	)	)	PUNCT
ejpam-5567	275	25	,	,	PUNCT
ejpam-5567	275	26	(	(	PUNCT
ejpam-5567	275	27	e2	e2	PROPN
ejpam-5567	275	28	,	,	PUNCT
ejpam-5567	275	29	(	(	PUNCT
ejpam-5567	275	30	{	{	PUNCT
ejpam-5567	275	31	ć4	ć4	NOUN
ejpam-5567	275	32	}	}	PUNCT
ejpam-5567	275	33	,	,	PUNCT
ejpam-5567	275	34	{	{	PUNCT
ejpam-5567	275	35	ḿ1	ḿ1	NOUN
ejpam-5567	275	36	,	,	PUNCT
ejpam-5567	275	37	ḿ5	ḿ5	PROPN
ejpam-5567	275	38	}	}	PUNCT
ejpam-5567	275	39	,	,	PUNCT
ejpam-5567	275	40	{	{	PUNCT
ejpam-5567	275	41	h1	h1	PROPN
ejpam-5567	275	42	,	,	PUNCT
ejpam-5567	275	43	h5	h5	PROPN
ejpam-5567	275	44	}	}	PUNCT
ejpam-5567	275	45	)	)	PUNCT
ejpam-5567	275	46	)	)	PUNCT
ejpam-5567	275	47	,	,	PUNCT
ejpam-5567	275	48	(	(	PUNCT
ejpam-5567	275	49	e3	e3	NOUN
ejpam-5567	275	50	,	,	PUNCT
ejpam-5567	275	51	(	(	PUNCT
ejpam-5567	275	52	{	{	PUNCT
ejpam-5567	275	53	ć3	ć3	NOUN
ejpam-5567	275	54	,	,	PUNCT
ejpam-5567	275	55	ć4	ć4	NOUN
ejpam-5567	275	56	}	}	PUNCT
ejpam-5567	275	57	,	,	PUNCT
ejpam-5567	275	58	{	{	PUNCT
ejpam-5567	275	59	ḿ2	ḿ2	NOUN
ejpam-5567	275	60	}	}	PUNCT
ejpam-5567	275	61	,	,	PUNCT
ejpam-5567	275	62	{	{	PUNCT
ejpam-5567	275	63	h2	h2	NOUN
ejpam-5567	275	64	}	}	PUNCT
ejpam-5567	275	65	)	)	PUNCT
ejpam-5567	275	66	)	)	PUNCT
ejpam-5567	275	67	.	.	PUNCT
ejpam-5567	276	1			NOUN
ejpam-5567	276	2	(	(	PUNCT
ejpam-5567	276	3	g	g	NOUN
ejpam-5567	276	4	,	,	PUNCT
ejpam-5567	276	5	e	e	NOUN
ejpam-5567	276	6	)	)	PUNCT
ejpam-5567	276	7	=	=	SYM
ejpam-5567	276	8			PUNCT
ejpam-5567	276	9	(	(	PUNCT
ejpam-5567	276	10	e1	e1	NOUN
ejpam-5567	276	11	,	,	PUNCT
ejpam-5567	276	12	(	(	PUNCT
ejpam-5567	276	13	{	{	PUNCT
ejpam-5567	276	14	ć1	ć1	NOUN
ejpam-5567	276	15	,	,	PUNCT
ejpam-5567	276	16	ć4	ć4	NOUN
ejpam-5567	276	17	}	}	PUNCT
ejpam-5567	276	18	,	,	PUNCT
ejpam-5567	276	19	{	{	PUNCT
ejpam-5567	276	20	ḿ1	ḿ1	NOUN
ejpam-5567	276	21	}	}	PUNCT
ejpam-5567	276	22	,	,	PUNCT
ejpam-5567	276	23	{	{	PUNCT
ejpam-5567	276	24	h1	h1	NOUN
ejpam-5567	276	25	}	}	PUNCT
ejpam-5567	276	26	)	)	PUNCT
ejpam-5567	276	27	)	)	PUNCT
ejpam-5567	276	28	,	,	PUNCT
ejpam-5567	276	29	(	(	PUNCT
ejpam-5567	276	30	e2	e2	PROPN
ejpam-5567	276	31	,	,	PUNCT
ejpam-5567	276	32	(	(	PUNCT
ejpam-5567	276	33	{	{	PUNCT
ejpam-5567	276	34	ć4	ć4	NOUN
ejpam-5567	276	35	}	}	PUNCT
ejpam-5567	276	36	,	,	PUNCT
ejpam-5567	276	37	{	{	PUNCT
ejpam-5567	276	38	ḿ2	ḿ2	NOUN
ejpam-5567	276	39	,	,	PUNCT
ejpam-5567	276	40	ḿ5	ḿ5	PROPN
ejpam-5567	276	41	}	}	PUNCT
ejpam-5567	276	42	,	,	PUNCT
ejpam-5567	276	43	{	{	PUNCT
ejpam-5567	276	44	h2	h2	NOUN
ejpam-5567	276	45	,	,	PUNCT
ejpam-5567	276	46	h5	h5	PROPN
ejpam-5567	276	47	}	}	PUNCT
ejpam-5567	276	48	)	)	PUNCT
ejpam-5567	276	49	)	)	PUNCT
ejpam-5567	276	50	,	,	PUNCT
ejpam-5567	276	51	(	(	PUNCT
ejpam-5567	276	52	e3	e3	NOUN
ejpam-5567	276	53	,	,	PUNCT
ejpam-5567	276	54	(	(	PUNCT
ejpam-5567	276	55	{	{	PUNCT
ejpam-5567	276	56	ć4	ć4	NOUN
ejpam-5567	276	57	}	}	PUNCT
ejpam-5567	276	58	,	,	PUNCT
ejpam-5567	276	59	{	{	PUNCT
ejpam-5567	276	60	ḿ2	ḿ2	NOUN
ejpam-5567	276	61	}	}	PUNCT
ejpam-5567	276	62	,	,	PUNCT
ejpam-5567	276	63	{	{	PUNCT
ejpam-5567	276	64	h2	h2	NOUN
ejpam-5567	276	65	}	}	PUNCT
ejpam-5567	276	66	)	)	PUNCT
ejpam-5567	276	67	)	)	PUNCT
ejpam-5567	276	68	.	.	PUNCT
ejpam-5567	277	1			NOUN
ejpam-5567	277	2	then	then	ADV
ejpam-5567	277	3	:	:	PUNCT
ejpam-5567	277	4	(	(	PUNCT
ejpam-5567	277	5	f	f	X
ejpam-5567	277	6	,	,	PUNCT
ejpam-5567	277	7	e)−	e)−	PROPN
ejpam-5567	277	8	(	(	PUNCT
ejpam-5567	277	9	g	g	NOUN
ejpam-5567	277	10	,	,	PUNCT
ejpam-5567	277	11	e	e	NOUN
ejpam-5567	277	12	)	)	PUNCT
ejpam-5567	277	13	=	=	SYM
ejpam-5567	277	14			PUNCT
ejpam-5567	277	15	(	(	PUNCT
ejpam-5567	277	16	e1	e1	NOUN
ejpam-5567	277	17	,	,	PUNCT
ejpam-5567	277	18	(	(	PUNCT
ejpam-5567	277	19	{	{	PUNCT
ejpam-5567	277	20	ć3	ć3	NOUN
ejpam-5567	277	21	}	}	PUNCT
ejpam-5567	277	22	,	,	PUNCT
ejpam-5567	277	23	{	{	PUNCT
ejpam-5567	277	24	ḿ2	ḿ2	NOUN
ejpam-5567	277	25	,	,	PUNCT
ejpam-5567	277	26	ḿ3	ḿ3	NOUN
ejpam-5567	277	27	}	}	PUNCT
ejpam-5567	277	28	,	,	PUNCT
ejpam-5567	277	29	{	{	PUNCT
ejpam-5567	277	30	h2	h2	NOUN
ejpam-5567	277	31	,	,	PUNCT
ejpam-5567	277	32	h3	h3	NOUN
ejpam-5567	277	33	}	}	PUNCT
ejpam-5567	277	34	)	)	PUNCT
ejpam-5567	277	35	)	)	PUNCT
ejpam-5567	277	36	,	,	PUNCT
ejpam-5567	277	37	(	(	PUNCT
ejpam-5567	277	38	e2	e2	PROPN
ejpam-5567	277	39	,	,	PUNCT
ejpam-5567	277	40	(	(	PUNCT
ejpam-5567	277	41	∅	∅	NOUN
ejpam-5567	277	42	,	,	PUNCT
ejpam-5567	277	43	{	{	PUNCT
ejpam-5567	277	44	ḿ1	ḿ1	NOUN
ejpam-5567	277	45	}	}	PUNCT
ejpam-5567	277	46	,	,	PUNCT
ejpam-5567	277	47	{	{	PUNCT
ejpam-5567	277	48	h1	h1	NOUN
ejpam-5567	277	49	}	}	PUNCT
ejpam-5567	277	50	)	)	PUNCT
ejpam-5567	277	51	)	)	PUNCT
ejpam-5567	277	52	,	,	PUNCT
ejpam-5567	277	53	(	(	PUNCT
ejpam-5567	277	54	e3	e3	NOUN
ejpam-5567	277	55	,	,	PUNCT
ejpam-5567	277	56	(	(	PUNCT
ejpam-5567	277	57	{	{	PUNCT
ejpam-5567	277	58	ć3},∅,∅	ć3},∅,∅	NOUN
ejpam-5567	277	59	)	)	PUNCT
ejpam-5567	277	60	)	)	PUNCT
ejpam-5567	277	61	.	.	PUNCT
ejpam-5567	278	1			NOUN
ejpam-5567	278	2	m.	m.	NOUN
ejpam-5567	278	3	nawaz	nawaz	PROPN
ejpam-5567	278	4	et	et	PROPN
ejpam-5567	278	5	al	al	PROPN
ejpam-5567	278	6	.	.	PUNCT
ejpam-5567	278	7	/	/	SYM
ejpam-5567	278	8	eur	eur	PROPN
ejpam-5567	278	9	.	.	PUNCT
ejpam-5567	279	1	j.	j.	PROPN
ejpam-5567	279	2	pure	pure	PROPN
ejpam-5567	279	3	appl	appl	PROPN
ejpam-5567	279	4	.	.	PROPN
ejpam-5567	279	5	math	math	PROPN
ejpam-5567	279	6	,	,	PUNCT
ejpam-5567	279	7	18	18	NUM
ejpam-5567	279	8	(	(	PUNCT
ejpam-5567	279	9	1	1	NUM
ejpam-5567	279	10	)	)	PUNCT
ejpam-5567	279	11	(	(	PUNCT
ejpam-5567	279	12	2025	2025	NUM
ejpam-5567	279	13	)	)	PUNCT
ejpam-5567	279	14	,	,	PUNCT
ejpam-5567	279	15	5567	5567	NUM
ejpam-5567	279	16	13	13	NUM
ejpam-5567	279	17	of	of	ADP
ejpam-5567	279	18	45	45	NUM
ejpam-5567	279	19	(	(	PUNCT
ejpam-5567	279	20	g	g	NOUN
ejpam-5567	279	21	,	,	PUNCT
ejpam-5567	279	22	e)−	e)−	PROPN
ejpam-5567	279	23	(	(	PUNCT
ejpam-5567	279	24	f	f	X
ejpam-5567	279	25	,	,	PUNCT
ejpam-5567	279	26	e	e	NOUN
ejpam-5567	279	27	)	)	PUNCT
ejpam-5567	279	28	=	=	SYM
ejpam-5567	279	29			PUNCT
ejpam-5567	279	30	(	(	PUNCT
ejpam-5567	279	31	e1	e1	NOUN
ejpam-5567	279	32	,	,	PUNCT
ejpam-5567	279	33	(	(	PUNCT
ejpam-5567	279	34	{	{	PUNCT
ejpam-5567	279	35	ć4	ć4	NOUN
ejpam-5567	279	36	}	}	PUNCT
ejpam-5567	279	37	,	,	PUNCT
ejpam-5567	279	38	{	{	PUNCT
ejpam-5567	279	39	ḿ1	ḿ1	NOUN
ejpam-5567	279	40	}	}	PUNCT
ejpam-5567	279	41	,	,	PUNCT
ejpam-5567	279	42	{	{	PUNCT
ejpam-5567	279	43	h1	h1	NOUN
ejpam-5567	279	44	}	}	PUNCT
ejpam-5567	279	45	)	)	PUNCT
ejpam-5567	279	46	)	)	PUNCT
ejpam-5567	279	47	,	,	PUNCT
ejpam-5567	279	48	(	(	PUNCT
ejpam-5567	279	49	e2	e2	PROPN
ejpam-5567	279	50	,	,	PUNCT
ejpam-5567	279	51	(	(	PUNCT
ejpam-5567	279	52	∅	∅	NOUN
ejpam-5567	279	53	,	,	PUNCT
ejpam-5567	279	54	{	{	PUNCT
ejpam-5567	279	55	ḿ2	ḿ2	NOUN
ejpam-5567	279	56	}	}	PUNCT
ejpam-5567	279	57	,	,	PUNCT
ejpam-5567	279	58	{	{	PUNCT
ejpam-5567	279	59	h2	h2	NOUN
ejpam-5567	279	60	}	}	PUNCT
ejpam-5567	279	61	)	)	PUNCT
ejpam-5567	279	62	)	)	PUNCT
ejpam-5567	279	63	,	,	PUNCT
ejpam-5567	279	64	(	(	PUNCT
ejpam-5567	279	65	e3	e3	NOUN
ejpam-5567	279	66	,	,	PUNCT
ejpam-5567	279	67	(	(	PUNCT
ejpam-5567	279	68	∅,∅,∅	∅,∅,∅	NOUN
ejpam-5567	279	69	)	)	PUNCT
ejpam-5567	279	70	)	)	PUNCT
ejpam-5567	279	71	.	.	PUNCT
ejpam-5567	280	1			NOUN
ejpam-5567	280	2	then	then	ADV
ejpam-5567	280	3	:	:	PUNCT
ejpam-5567	280	4	(	(	PUNCT
ejpam-5567	280	5	h	h	NOUN
ejpam-5567	280	6	,	,	PUNCT
ejpam-5567	280	7	e	e	NOUN
ejpam-5567	280	8	)	)	PUNCT
ejpam-5567	280	9	=	=	SYM
ejpam-5567	281	1			PROPN
ejpam-5567	281	2	(	(	PUNCT
ejpam-5567	281	3	e1	e1	PROPN
ejpam-5567	281	4	,	,	PUNCT
ejpam-5567	281	5	(	(	PUNCT
ejpam-5567	281	6	{	{	PUNCT
ejpam-5567	281	7	ć3	ć3	NOUN
ejpam-5567	281	8	,	,	PUNCT
ejpam-5567	281	9	ć4	ć4	NOUN
ejpam-5567	281	10	}	}	PUNCT
ejpam-5567	281	11	,	,	PUNCT
ejpam-5567	281	12	{	{	PUNCT
ejpam-5567	281	13	ḿ1	ḿ1	NOUN
ejpam-5567	281	14	,	,	PUNCT
ejpam-5567	281	15	ḿ2	ḿ2	NOUN
ejpam-5567	281	16	,	,	PUNCT
ejpam-5567	281	17	ḿ3	ḿ3	NOUN
ejpam-5567	281	18	}	}	PUNCT
ejpam-5567	281	19	,	,	PUNCT
ejpam-5567	281	20	{	{	PUNCT
ejpam-5567	281	21	h1	h1	PROPN
ejpam-5567	281	22	,	,	PUNCT
ejpam-5567	281	23	h2	h2	PROPN
ejpam-5567	281	24	,	,	PUNCT
ejpam-5567	281	25	h3	h3	NOUN
ejpam-5567	281	26	}	}	PUNCT
ejpam-5567	281	27	)	)	PUNCT
ejpam-5567	281	28	)	)	PUNCT
ejpam-5567	281	29	,	,	PUNCT
ejpam-5567	281	30	(	(	PUNCT
ejpam-5567	281	31	e2	e2	PROPN
ejpam-5567	281	32	,	,	PUNCT
ejpam-5567	281	33	(	(	PUNCT
ejpam-5567	281	34	∅	∅	NOUN
ejpam-5567	281	35	,	,	PUNCT
ejpam-5567	281	36	{	{	PUNCT
ejpam-5567	281	37	ḿ1	ḿ1	NOUN
ejpam-5567	281	38	,	,	PUNCT
ejpam-5567	281	39	ḿ2	ḿ2	NOUN
ejpam-5567	281	40	}	}	PUNCT
ejpam-5567	281	41	,	,	PUNCT
ejpam-5567	281	42	{	{	PUNCT
ejpam-5567	281	43	h1	h1	PROPN
ejpam-5567	281	44	,	,	PUNCT
ejpam-5567	281	45	h2	h2	NOUN
ejpam-5567	281	46	}	}	PUNCT
ejpam-5567	281	47	)	)	PUNCT
ejpam-5567	281	48	)	)	PUNCT
ejpam-5567	281	49	,	,	PUNCT
ejpam-5567	281	50	(	(	PUNCT
ejpam-5567	281	51	e3	e3	NOUN
ejpam-5567	281	52	,	,	PUNCT
ejpam-5567	281	53	(	(	PUNCT
ejpam-5567	281	54	{	{	PUNCT
ejpam-5567	281	55	ć3},∅,∅	ć3},∅,∅	NOUN
ejpam-5567	281	56	)	)	PUNCT
ejpam-5567	281	57	)	)	PUNCT
ejpam-5567	281	58	.	.	PUNCT
ejpam-5567	282	1			PROPN
ejpam-5567	282	2	proposition	proposition	NOUN
ejpam-5567	282	3	4	4	X
ejpam-5567	282	4	.	.	PUNCT
ejpam-5567	283	1	let	let	VERB
ejpam-5567	283	2	(	(	PUNCT
ejpam-5567	283	3	f	f	X
ejpam-5567	283	4	,	,	PUNCT
ejpam-5567	283	5	a	a	PRON
ejpam-5567	283	6	)	)	PUNCT
ejpam-5567	283	7	,	,	PUNCT
ejpam-5567	283	8	(	(	PUNCT
ejpam-5567	283	9	g	g	NOUN
ejpam-5567	283	10	,	,	PUNCT
ejpam-5567	283	11	a	a	NOUN
ejpam-5567	283	12	)	)	PUNCT
ejpam-5567	283	13	,	,	PUNCT
ejpam-5567	283	14	and	and	CCONJ
ejpam-5567	283	15	(	(	PUNCT
ejpam-5567	283	16	h	h	NOUN
ejpam-5567	283	17	,	,	PUNCT
ejpam-5567	283	18	a	a	PRON
ejpam-5567	283	19	)	)	PUNCT
ejpam-5567	283	20	be	be	VERB
ejpam-5567	283	21	three	three	NUM
ejpam-5567	283	22	ternary	ternary	ADJ
ejpam-5567	283	23	soft	soft	ADJ
ejpam-5567	283	24	sets	set	NOUN
ejpam-5567	283	25	.	.	PUNCT
ejpam-5567	284	1	then	then	ADV
ejpam-5567	284	2	we	we	PRON
ejpam-5567	284	3	have	have	VERB
ejpam-5567	284	4	the	the	DET
ejpam-5567	284	5	following	follow	VERB
ejpam-5567	284	6	results	result	NOUN
ejpam-5567	284	7	:	:	PUNCT
ejpam-5567	284	8	(	(	PUNCT
ejpam-5567	284	9	i	i	NOUN
ejpam-5567	284	10	)	)	PUNCT
ejpam-5567	284	11	˜̃	˜̃	NOUN
ejpam-5567	284	12	a−	a−	PROPN
ejpam-5567	284	13	˜̃∅	˜̃∅	NOUN
ejpam-5567	284	14	=	=	NOUN
ejpam-5567	284	15	˜̃	˜̃	NOUN
ejpam-5567	284	16	a	a	NOUN
ejpam-5567	284	17	and	and	CCONJ
ejpam-5567	284	18	˜̃	˜̃	NOUN
ejpam-5567	284	19	a−	a−	PROPN
ejpam-5567	284	20	˜̃	˜̃	NOUN
ejpam-5567	284	21	a	a	DET
ejpam-5567	284	22	=	=	X
ejpam-5567	284	23	˜̃∅.	˜̃∅.	PROPN
ejpam-5567	284	24	(	(	PUNCT
ejpam-5567	284	25	ii	ii	NOUN
ejpam-5567	284	26	)	)	PUNCT
ejpam-5567	284	27	˜̃	˜̃	NOUN
ejpam-5567	284	28	a−	a−	PROPN
ejpam-5567	284	29	(	(	PUNCT
ejpam-5567	284	30	f	f	X
ejpam-5567	284	31	,	,	PUNCT
ejpam-5567	284	32	a)c	a)c	X
ejpam-5567	284	33	=	=	PUNCT
ejpam-5567	284	34	(	(	PUNCT
ejpam-5567	284	35	f	f	X
ejpam-5567	284	36	,	,	PUNCT
ejpam-5567	284	37	a	a	PRON
ejpam-5567	284	38	)	)	PUNCT
ejpam-5567	284	39	.	.	PUNCT
ejpam-5567	285	1	(	(	PUNCT
ejpam-5567	285	2	iii	iii	X
ejpam-5567	285	3	)	)	PUNCT
ejpam-5567	285	4	(	(	PUNCT
ejpam-5567	285	5	f	f	X
ejpam-5567	285	6	,	,	PUNCT
ejpam-5567	285	7	a	a	PRON
ejpam-5567	285	8	)	)	PUNCT
ejpam-5567	285	9	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	285	10	,	,	PUNCT
ejpam-5567	285	11	a	a	PRON
ejpam-5567	285	12	)	)	PUNCT
ejpam-5567	285	13	if	if	SCONJ
ejpam-5567	285	14	and	and	CCONJ
ejpam-5567	285	15	only	only	ADV
ejpam-5567	285	16	if	if	SCONJ
ejpam-5567	285	17	(	(	PUNCT
ejpam-5567	285	18	g	g	NOUN
ejpam-5567	285	19	,	,	PUNCT
ejpam-5567	285	20	a)c	a)c	X
ejpam-5567	285	21	˜̃⊆(f	˜̃⊆(f	PROPN
ejpam-5567	285	22	,	,	PUNCT
ejpam-5567	285	23	a)c	a)c	PUNCT
ejpam-5567	285	24	.	.	PUNCT
ejpam-5567	286	1	(	(	PUNCT
ejpam-5567	286	2	iv	iv	X
ejpam-5567	286	3	)	)	PUNCT
ejpam-5567	286	4	(	(	PUNCT
ejpam-5567	286	5	f	f	X
ejpam-5567	286	6	,	,	PUNCT
ejpam-5567	286	7	a)˜̃∩(g	a)˜̃∩(g	PROPN
ejpam-5567	286	8	,	,	PUNCT
ejpam-5567	286	9	a	a	PRON
ejpam-5567	286	10	)	)	PUNCT
ejpam-5567	286	11	if	if	SCONJ
ejpam-5567	287	1	and	and	CCONJ
ejpam-5567	287	2	only	only	ADV
ejpam-5567	287	3	if	if	SCONJ
ejpam-5567	287	4	(	(	PUNCT
ejpam-5567	287	5	f	f	X
ejpam-5567	287	6	,	,	PUNCT
ejpam-5567	287	7	a	a	PRON
ejpam-5567	287	8	)	)	PUNCT
ejpam-5567	287	9	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	287	10	,	,	PUNCT
ejpam-5567	287	11	a)c	a)c	PUNCT
ejpam-5567	287	12	if	if	SCONJ
ejpam-5567	287	13	and	and	CCONJ
ejpam-5567	287	14	only	only	ADV
ejpam-5567	287	15	if	if	SCONJ
ejpam-5567	287	16	(	(	PUNCT
ejpam-5567	287	17	g	g	NOUN
ejpam-5567	287	18	,	,	PUNCT
ejpam-5567	287	19	a	a	PRON
ejpam-5567	287	20	)	)	PUNCT
ejpam-5567	287	21	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	287	22	,	,	PUNCT
ejpam-5567	287	23	a)c	a)c	PUNCT
ejpam-5567	287	24	.	.	PUNCT
ejpam-5567	288	1	(	(	PUNCT
ejpam-5567	288	2	v	v	NOUN
ejpam-5567	288	3	)	)	PUNCT
ejpam-5567	288	4	(	(	PUNCT
ejpam-5567	288	5	f	f	X
ejpam-5567	288	6	,	,	PUNCT
ejpam-5567	288	7	a)˜̃∪(g	a)˜̃∪(g	PROPN
ejpam-5567	288	8	,	,	PUNCT
ejpam-5567	288	9	a	a	PRON
ejpam-5567	288	10	)	)	PUNCT
ejpam-5567	288	11	=	=	NOUN
ejpam-5567	288	12	˜̃	˜̃	NOUN
ejpam-5567	288	13	a	a	NOUN
ejpam-5567	288	14	,	,	PUNCT
ejpam-5567	288	15	(	(	PUNCT
ejpam-5567	288	16	f	f	X
ejpam-5567	288	17	,	,	PUNCT
ejpam-5567	288	18	a)˜̃∩(g	a)˜̃∩(g	PROPN
ejpam-5567	288	19	,	,	PUNCT
ejpam-5567	288	20	a	a	PRON
ejpam-5567	288	21	)	)	PUNCT
ejpam-5567	288	22	=	=	SYM
ejpam-5567	289	1	˜̃∅	˜̃∅	NOUN
ejpam-5567	289	2	if	if	SCONJ
ejpam-5567	289	3	and	and	CCONJ
ejpam-5567	289	4	only	only	ADV
ejpam-5567	289	5	if	if	SCONJ
ejpam-5567	289	6	(	(	PUNCT
ejpam-5567	289	7	f	f	X
ejpam-5567	289	8	,	,	PUNCT
ejpam-5567	289	9	a	a	PRON
ejpam-5567	289	10	)	)	PUNCT
ejpam-5567	289	11	=	=	SYM
ejpam-5567	289	12	(	(	PUNCT
ejpam-5567	289	13	g	g	NOUN
ejpam-5567	289	14	,	,	PUNCT
ejpam-5567	289	15	a)c	a)c	PUNCT
ejpam-5567	289	16	.	.	PUNCT
ejpam-5567	290	1	(	(	PUNCT
ejpam-5567	290	2	vi	vi	NOUN
ejpam-5567	290	3	)	)	PUNCT
ejpam-5567	290	4	(	(	PUNCT
ejpam-5567	290	5	(	(	PUNCT
ejpam-5567	290	6	f	f	X
ejpam-5567	290	7	,	,	PUNCT
ejpam-5567	290	8	a)˜̃∪(g	a)˜̃∪(g	PROPN
ejpam-5567	290	9	,	,	PUNCT
ejpam-5567	290	10	a))c	a))c	NOUN
ejpam-5567	290	11	=	=	SYM
ejpam-5567	290	12	(	(	PUNCT
ejpam-5567	290	13	f	f	X
ejpam-5567	290	14	,	,	PUNCT
ejpam-5567	290	15	a)c	a)c	X
ejpam-5567	290	16	˜̃∩(g	˜̃∩(g	NOUN
ejpam-5567	290	17	,	,	PUNCT
ejpam-5567	290	18	a)c	a)c	PUNCT
ejpam-5567	290	19	.	.	PUNCT
ejpam-5567	291	1	(	(	PUNCT
ejpam-5567	291	2	vii	vii	PROPN
ejpam-5567	291	3	)	)	PUNCT
ejpam-5567	291	4	(	(	PUNCT
ejpam-5567	291	5	(	(	PUNCT
ejpam-5567	291	6	f	f	X
ejpam-5567	291	7	,	,	PUNCT
ejpam-5567	291	8	a)˜̃∩(g	a)˜̃∩(g	PROPN
ejpam-5567	291	9	,	,	PUNCT
ejpam-5567	291	10	a))c	a))c	NOUN
ejpam-5567	291	11	=	=	SYM
ejpam-5567	291	12	(	(	PUNCT
ejpam-5567	291	13	f	f	X
ejpam-5567	291	14	,	,	PUNCT
ejpam-5567	291	15	a)c	a)c	X
ejpam-5567	291	16	˜̃∪(g	˜̃∪(g	PROPN
ejpam-5567	291	17	,	,	PUNCT
ejpam-5567	291	18	a)c	a)c	PUNCT
ejpam-5567	291	19	.	.	PUNCT
ejpam-5567	292	1	(	(	PUNCT
ejpam-5567	292	2	viii	viii	NOUN
ejpam-5567	292	3	)	)	PUNCT
ejpam-5567	292	4	if	if	SCONJ
ejpam-5567	292	5	(	(	PUNCT
ejpam-5567	292	6	f	f	X
ejpam-5567	292	7	,	,	PUNCT
ejpam-5567	292	8	a	a	PRON
ejpam-5567	292	9	)	)	PUNCT
ejpam-5567	292	10	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	292	11	,	,	PUNCT
ejpam-5567	292	12	a	a	PRON
ejpam-5567	292	13	)	)	PUNCT
ejpam-5567	292	14	,	,	PUNCT
ejpam-5567	292	15	(	(	PUNCT
ejpam-5567	292	16	f	f	X
ejpam-5567	292	17	,	,	PUNCT
ejpam-5567	292	18	a)˜̃∪(h	a)˜̃∪(h	PROPN
ejpam-5567	292	19	,	,	PUNCT
ejpam-5567	292	20	a	a	PRON
ejpam-5567	292	21	)	)	PUNCT
ejpam-5567	292	22	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	292	23	,	,	PUNCT
ejpam-5567	292	24	a)˜̃∪(h	a)˜̃∪(h	PROPN
ejpam-5567	292	25	,	,	PUNCT
ejpam-5567	292	26	a	a	PRON
ejpam-5567	292	27	)	)	PUNCT
ejpam-5567	292	28	.	.	PUNCT
ejpam-5567	293	1	(	(	PUNCT
ejpam-5567	293	2	ix	ix	ADP
ejpam-5567	293	3	)	)	PUNCT
ejpam-5567	293	4	if	if	SCONJ
ejpam-5567	293	5	(	(	PUNCT
ejpam-5567	293	6	f	f	X
ejpam-5567	293	7	,	,	PUNCT
ejpam-5567	293	8	a	a	PRON
ejpam-5567	293	9	)	)	PUNCT
ejpam-5567	293	10	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	293	11	,	,	PUNCT
ejpam-5567	293	12	a	a	PRON
ejpam-5567	293	13	)	)	PUNCT
ejpam-5567	293	14	,	,	PUNCT
ejpam-5567	293	15	(	(	PUNCT
ejpam-5567	293	16	f	f	X
ejpam-5567	293	17	,	,	PUNCT
ejpam-5567	293	18	a)˜̃∩(h	a)˜̃∩(h	PROPN
ejpam-5567	293	19	,	,	PUNCT
ejpam-5567	293	20	a	a	PRON
ejpam-5567	293	21	)	)	PUNCT
ejpam-5567	293	22	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	293	23	,	,	PUNCT
ejpam-5567	293	24	a)˜̃∩(h	a)˜̃∩(h	PROPN
ejpam-5567	293	25	,	,	PUNCT
ejpam-5567	293	26	a	a	PRON
ejpam-5567	293	27	)	)	PUNCT
ejpam-5567	293	28	.	.	PUNCT
ejpam-5567	294	1	(	(	PUNCT
ejpam-5567	294	2	x	x	X
ejpam-5567	294	3	)	)	PUNCT
ejpam-5567	294	4	if	if	SCONJ
ejpam-5567	294	5	(	(	PUNCT
ejpam-5567	294	6	f	f	X
ejpam-5567	294	7	,	,	PUNCT
ejpam-5567	294	8	a	a	PRON
ejpam-5567	294	9	)	)	PUNCT
ejpam-5567	294	10	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	294	11	,	,	PUNCT
ejpam-5567	294	12	a	a	PRON
ejpam-5567	294	13	)	)	PUNCT
ejpam-5567	294	14	and	and	CCONJ
ejpam-5567	294	15	(	(	PUNCT
ejpam-5567	294	16	f	f	X
ejpam-5567	294	17	,	,	PUNCT
ejpam-5567	294	18	a	a	PRON
ejpam-5567	294	19	)	)	PUNCT
ejpam-5567	294	20	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	294	21	,	,	PUNCT
ejpam-5567	294	22	a	a	PRON
ejpam-5567	294	23	)	)	PUNCT
ejpam-5567	294	24	,	,	PUNCT
ejpam-5567	294	25	(	(	PUNCT
ejpam-5567	294	26	f	f	X
ejpam-5567	294	27	,	,	PUNCT
ejpam-5567	294	28	a	a	PRON
ejpam-5567	294	29	)	)	PUNCT
ejpam-5567	294	30	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	294	31	,	,	PUNCT
ejpam-5567	294	32	a)˜̃∩(h	a)˜̃∩(h	PROPN
ejpam-5567	294	33	,	,	PUNCT
ejpam-5567	294	34	a	a	PRON
ejpam-5567	294	35	)	)	PUNCT
ejpam-5567	294	36	.	.	PUNCT
ejpam-5567	295	1	(	(	PUNCT
ejpam-5567	295	2	xi	xi	X
ejpam-5567	295	3	)	)	PUNCT
ejpam-5567	295	4	if	if	SCONJ
ejpam-5567	295	5	(	(	PUNCT
ejpam-5567	295	6	f	f	X
ejpam-5567	295	7	,	,	PUNCT
ejpam-5567	295	8	a	a	PRON
ejpam-5567	295	9	)	)	PUNCT
ejpam-5567	295	10	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	295	11	,	,	PUNCT
ejpam-5567	295	12	a	a	PRON
ejpam-5567	295	13	)	)	PUNCT
ejpam-5567	295	14	and	and	CCONJ
ejpam-5567	295	15	(	(	PUNCT
ejpam-5567	295	16	f	f	X
ejpam-5567	295	17	,	,	PUNCT
ejpam-5567	295	18	a	a	PRON
ejpam-5567	295	19	)	)	PUNCT
ejpam-5567	295	20	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	295	21	,	,	PUNCT
ejpam-5567	295	22	a	a	PRON
ejpam-5567	295	23	)	)	PUNCT
ejpam-5567	295	24	,	,	PUNCT
ejpam-5567	295	25	(	(	PUNCT
ejpam-5567	295	26	f	f	X
ejpam-5567	295	27	,	,	PUNCT
ejpam-5567	295	28	a)˜̃∪(g	a)˜̃∪(g	PROPN
ejpam-5567	295	29	,	,	PUNCT
ejpam-5567	295	30	a	a	PRON
ejpam-5567	295	31	)	)	PUNCT
ejpam-5567	295	32	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	295	33	,	,	PUNCT
ejpam-5567	295	34	a	a	PRON
ejpam-5567	295	35	)	)	PUNCT
ejpam-5567	295	36	.	.	PUNCT
ejpam-5567	296	1	(	(	PUNCT
ejpam-5567	296	2	xii	xii	NOUN
ejpam-5567	296	3	)	)	PUNCT
ejpam-5567	296	4	(	(	PUNCT
ejpam-5567	296	5	f	f	X
ejpam-5567	296	6	,	,	PUNCT
ejpam-5567	296	7	a)−	a)−	PROPN
ejpam-5567	296	8	(	(	PUNCT
ejpam-5567	296	9	(	(	PUNCT
ejpam-5567	296	10	g	g	NOUN
ejpam-5567	296	11	,	,	PUNCT
ejpam-5567	296	12	a)−	a)−	PROPN
ejpam-5567	296	13	(	(	PUNCT
ejpam-5567	296	14	h	h	NOUN
ejpam-5567	296	15	,	,	PUNCT
ejpam-5567	296	16	a	a	NOUN
ejpam-5567	296	17	)	)	PUNCT
ejpam-5567	296	18	)	)	PUNCT
ejpam-5567	296	19	=	=	PUNCT
ejpam-5567	297	1	(	(	PUNCT
ejpam-5567	297	2	f	f	X
ejpam-5567	297	3	,	,	PUNCT
ejpam-5567	297	4	a)−	a)−	PROPN
ejpam-5567	297	5	(	(	PUNCT
ejpam-5567	297	6	(	(	PUNCT
ejpam-5567	297	7	g	g	NOUN
ejpam-5567	297	8	,	,	PUNCT
ejpam-5567	297	9	a)˜̃∪(h	a)˜̃∪(h	PROPN
ejpam-5567	297	10	,	,	PUNCT
ejpam-5567	297	11	a	a	PRON
ejpam-5567	297	12	)	)	PUNCT
ejpam-5567	297	13	)	)	PUNCT
ejpam-5567	297	14	.	.	PUNCT
ejpam-5567	298	1	(	(	PUNCT
ejpam-5567	298	2	xiii	xiii	PROPN
ejpam-5567	298	3	)	)	PUNCT
ejpam-5567	298	4	(	(	PUNCT
ejpam-5567	298	5	f	f	X
ejpam-5567	298	6	,	,	PUNCT
ejpam-5567	298	7	a)−	a)−	PROPN
ejpam-5567	298	8	(	(	PUNCT
ejpam-5567	298	9	(	(	PUNCT
ejpam-5567	298	10	g	g	PROPN
ejpam-5567	298	11	,	,	PUNCT
ejpam-5567	298	12	a)˜̃∩(h	a)˜̃∩(h	PROPN
ejpam-5567	298	13	,	,	PUNCT
ejpam-5567	298	14	a	a	PRON
ejpam-5567	298	15	)	)	PUNCT
ejpam-5567	298	16	)	)	PUNCT
ejpam-5567	298	17	=	=	SYM
ejpam-5567	299	1	(	(	PUNCT
ejpam-5567	299	2	(	(	PUNCT
ejpam-5567	299	3	f	f	X
ejpam-5567	299	4	,	,	PUNCT
ejpam-5567	299	5	a)−	a)−	PROPN
ejpam-5567	299	6	(	(	PUNCT
ejpam-5567	299	7	g	g	NOUN
ejpam-5567	299	8	,	,	PUNCT
ejpam-5567	299	9	a))˜̃∪((f	a))˜̃∪((f	PROPN
ejpam-5567	299	10	,	,	PUNCT
ejpam-5567	299	11	a)−	a)−	PROPN
ejpam-5567	299	12	(	(	PUNCT
ejpam-5567	299	13	h	h	NOUN
ejpam-5567	299	14	,	,	PUNCT
ejpam-5567	299	15	a	a	NOUN
ejpam-5567	299	16	)	)	PUNCT
ejpam-5567	299	17	)	)	PUNCT
ejpam-5567	299	18	.	.	PUNCT
ejpam-5567	300	1	(	(	PUNCT
ejpam-5567	300	2	xiv	xiv	PROPN
ejpam-5567	300	3	)	)	PUNCT
ejpam-5567	300	4	(	(	PUNCT
ejpam-5567	300	5	f	f	X
ejpam-5567	300	6	,	,	PUNCT
ejpam-5567	300	7	a)∆	a)∆	X
ejpam-5567	300	8	˜̃∅	˜̃∅	X
ejpam-5567	300	9	=	=	SYM
ejpam-5567	300	10	(	(	PUNCT
ejpam-5567	300	11	f	f	PROPN
ejpam-5567	300	12	,	,	PUNCT
ejpam-5567	300	13	a	a	PRON
ejpam-5567	300	14	)	)	PUNCT
ejpam-5567	300	15	,	,	PUNCT
ejpam-5567	300	16	(	(	PUNCT
ejpam-5567	300	17	f	f	X
ejpam-5567	300	18	,	,	PUNCT
ejpam-5567	300	19	a)∆(f	a)∆(f	PROPN
ejpam-5567	300	20	,	,	PUNCT
ejpam-5567	300	21	a	a	PRON
ejpam-5567	300	22	)	)	PUNCT
ejpam-5567	300	23	=	=	SYM
ejpam-5567	300	24	˜̃∅	˜̃∅	NOUN
ejpam-5567	300	25	,	,	PUNCT
ejpam-5567	300	26	(	(	PUNCT
ejpam-5567	300	27	f	f	X
ejpam-5567	300	28	,	,	PUNCT
ejpam-5567	300	29	a)∆(g	a)∆(g	PROPN
ejpam-5567	300	30	,	,	PUNCT
ejpam-5567	300	31	a	a	PRON
ejpam-5567	300	32	)	)	PUNCT
ejpam-5567	300	33	=	=	SYM
ejpam-5567	300	34	(	(	PUNCT
ejpam-5567	300	35	g	g	PROPN
ejpam-5567	300	36	,	,	PUNCT
ejpam-5567	300	37	a)∆(f	a)∆(f	PROPN
ejpam-5567	300	38	,	,	PUNCT
ejpam-5567	300	39	a	a	PRON
ejpam-5567	300	40	)	)	PUNCT
ejpam-5567	300	41	.	.	PUNCT
ejpam-5567	301	1	(	(	PUNCT
ejpam-5567	301	2	xv	xv	PROPN
ejpam-5567	301	3	)	)	PUNCT
ejpam-5567	301	4	(	(	PUNCT
ejpam-5567	301	5	f	f	X
ejpam-5567	301	6	,	,	PUNCT
ejpam-5567	301	7	a)∆((g	a)∆((g	PROPN
ejpam-5567	301	8	,	,	PUNCT
ejpam-5567	301	9	a)∆(h	a)∆(h	PROPN
ejpam-5567	301	10	,	,	PUNCT
ejpam-5567	301	11	a	a	PRON
ejpam-5567	301	12	)	)	PUNCT
ejpam-5567	301	13	)	)	PUNCT
ejpam-5567	301	14	=	=	SYM
ejpam-5567	301	15	(	(	PUNCT
ejpam-5567	301	16	(	(	PUNCT
ejpam-5567	301	17	f	f	X
ejpam-5567	301	18	,	,	PUNCT
ejpam-5567	301	19	a)∆(g	a)∆(g	PROPN
ejpam-5567	301	20	,	,	PUNCT
ejpam-5567	301	21	a))∆(h	a))∆(h	NOUN
ejpam-5567	301	22	,	,	PUNCT
ejpam-5567	301	23	a	a	PRON
ejpam-5567	301	24	)	)	PUNCT
ejpam-5567	301	25	.	.	PUNCT
ejpam-5567	302	1	(	(	PUNCT
ejpam-5567	302	2	xvi	xvi	NOUN
ejpam-5567	302	3	)	)	PUNCT
ejpam-5567	302	4	(	(	PUNCT
ejpam-5567	302	5	f	f	X
ejpam-5567	302	6	,	,	PUNCT
ejpam-5567	302	7	a)˜̃∩((g	a)˜̃∩((g	ADJ
ejpam-5567	302	8	,	,	PUNCT
ejpam-5567	302	9	a)∆(h	a)∆(h	PROPN
ejpam-5567	302	10	,	,	PUNCT
ejpam-5567	302	11	a	a	PRON
ejpam-5567	302	12	)	)	PUNCT
ejpam-5567	302	13	)	)	PUNCT
ejpam-5567	302	14	=	=	SYM
ejpam-5567	303	1	(	(	PUNCT
ejpam-5567	303	2	(	(	PUNCT
ejpam-5567	303	3	f	f	X
ejpam-5567	303	4	,	,	PUNCT
ejpam-5567	303	5	a)˜̃∩(g	a)˜̃∩(g	PROPN
ejpam-5567	303	6	,	,	PUNCT
ejpam-5567	303	7	a))∆((f	a))∆((f	VERB
ejpam-5567	303	8	,	,	PUNCT
ejpam-5567	303	9	a)˜̃∩(h	a)˜̃∩(h	PROPN
ejpam-5567	303	10	,	,	PUNCT
ejpam-5567	303	11	a	a	PRON
ejpam-5567	303	12	)	)	PUNCT
ejpam-5567	303	13	)	)	PUNCT
ejpam-5567	303	14	.	.	PUNCT
ejpam-5567	304	1	proof	proof	NOUN
ejpam-5567	304	2	.	.	PUNCT
ejpam-5567	305	1	it	it	PRON
ejpam-5567	305	2	is	be	AUX
ejpam-5567	305	3	obvious	obvious	ADJ
ejpam-5567	305	4	.	.	PUNCT
ejpam-5567	306	1	m.	m.	NOUN
ejpam-5567	306	2	nawaz	nawaz	PROPN
ejpam-5567	306	3	et	et	PROPN
ejpam-5567	306	4	al	al	PROPN
ejpam-5567	306	5	.	.	PUNCT
ejpam-5567	306	6	/	/	SYM
ejpam-5567	306	7	eur	eur	PROPN
ejpam-5567	306	8	.	.	PUNCT
ejpam-5567	307	1	j.	j.	PROPN
ejpam-5567	307	2	pure	pure	PROPN
ejpam-5567	307	3	appl	appl	PROPN
ejpam-5567	307	4	.	.	PROPN
ejpam-5567	307	5	math	math	PROPN
ejpam-5567	307	6	,	,	PUNCT
ejpam-5567	307	7	18	18	NUM
ejpam-5567	307	8	(	(	PUNCT
ejpam-5567	307	9	1	1	NUM
ejpam-5567	307	10	)	)	PUNCT
ejpam-5567	307	11	(	(	PUNCT
ejpam-5567	307	12	2025	2025	NUM
ejpam-5567	307	13	)	)	PUNCT
ejpam-5567	307	14	,	,	PUNCT
ejpam-5567	307	15	5567	5567	NUM
ejpam-5567	307	16	14	14	NUM
ejpam-5567	307	17	of	of	ADP
ejpam-5567	307	18	45	45	NUM
ejpam-5567	307	19	definition	definition	NOUN
ejpam-5567	307	20	23	23	NUM
ejpam-5567	307	21	.	.	PUNCT
ejpam-5567	308	1	if	if	SCONJ
ejpam-5567	308	2	(	(	PUNCT
ejpam-5567	308	3	f	f	X
ejpam-5567	308	4	,	,	PUNCT
ejpam-5567	308	5	a	a	PRON
ejpam-5567	308	6	)	)	PUNCT
ejpam-5567	308	7	and	and	CCONJ
ejpam-5567	308	8	(	(	PUNCT
ejpam-5567	308	9	g	g	NOUN
ejpam-5567	308	10	,	,	PUNCT
ejpam-5567	308	11	b	b	NOUN
ejpam-5567	308	12	)	)	PUNCT
ejpam-5567	308	13	are	be	AUX
ejpam-5567	308	14	two	two	NUM
ejpam-5567	308	15	ternary	ternary	ADJ
ejpam-5567	308	16	soft	soft	ADJ
ejpam-5567	308	17	sets	set	NOUN
ejpam-5567	308	18	,	,	PUNCT
ejpam-5567	308	19	then	then	ADV
ejpam-5567	308	20	“	"	PUNCT
ejpam-5567	308	21	(	(	PUNCT
ejpam-5567	308	22	f	f	X
ejpam-5567	308	23	,	,	PUNCT
ejpam-5567	308	24	a	a	PRON
ejpam-5567	308	25	)	)	PUNCT
ejpam-5567	308	26	and	and	CCONJ
ejpam-5567	308	27	(	(	PUNCT
ejpam-5567	308	28	g	g	NOUN
ejpam-5567	308	29	,	,	PUNCT
ejpam-5567	308	30	b	b	NOUN
ejpam-5567	308	31	)	)	PUNCT
ejpam-5567	308	32	,	,	PUNCT
ejpam-5567	308	33	”	"	PUNCT
ejpam-5567	308	34	denoted	denote	VERB
ejpam-5567	308	35	by	by	ADP
ejpam-5567	308	36	(	(	PUNCT
ejpam-5567	308	37	f	f	X
ejpam-5567	308	38	,	,	PUNCT
ejpam-5567	308	39	a)˜̃∧(g	a)˜̃∧(g	ADJ
ejpam-5567	308	40	,	,	PUNCT
ejpam-5567	308	41	b	b	NOUN
ejpam-5567	308	42	)	)	PUNCT
ejpam-5567	308	43	,	,	PUNCT
ejpam-5567	308	44	as	as	ADP
ejpam-5567	308	45	:	:	PUNCT
ejpam-5567	308	46	(	(	PUNCT
ejpam-5567	308	47	f	f	X
ejpam-5567	308	48	,	,	PUNCT
ejpam-5567	308	49	a)˜̃∧(g	a)˜̃∧(g	ADJ
ejpam-5567	308	50	,	,	PUNCT
ejpam-5567	308	51	b	b	NOUN
ejpam-5567	308	52	)	)	PUNCT
ejpam-5567	308	53	=	=	SYM
ejpam-5567	308	54	(	(	PUNCT
ejpam-5567	308	55	h	h	NOUN
ejpam-5567	308	56	,	,	PUNCT
ejpam-5567	308	57	a×b	a×b	PROPN
ejpam-5567	308	58	)	)	PUNCT
ejpam-5567	308	59	where	where	SCONJ
ejpam-5567	308	60	h(e	h(e	PROPN
ejpam-5567	308	61	,	,	PUNCT
ejpam-5567	308	62	f	f	X
ejpam-5567	308	63	)	)	PUNCT
ejpam-5567	308	64	=	=	SYM
ejpam-5567	309	1	(	(	PUNCT
ejpam-5567	309	2	x1	x1	PROPN
ejpam-5567	309	3	∩x2	∩x2	PROPN
ejpam-5567	309	4	,	,	PUNCT
ejpam-5567	309	5	y1	y1	NOUN
ejpam-5567	309	6	∩	∩	ADJ
ejpam-5567	309	7	y2	y2	NOUN
ejpam-5567	309	8	,	,	PUNCT
ejpam-5567	309	9	z̧1	z̧1	X
ejpam-5567	309	10	∩	∩	PROPN
ejpam-5567	309	11	z̧2	z̧2	NOUN
ejpam-5567	309	12	)	)	PUNCT
ejpam-5567	309	13	for	for	ADP
ejpam-5567	309	14	each	each	DET
ejpam-5567	309	15	(	(	PUNCT
ejpam-5567	309	16	e	e	NOUN
ejpam-5567	309	17	,	,	PUNCT
ejpam-5567	309	18	f	f	X
ejpam-5567	309	19	)	)	PUNCT
ejpam-5567	309	20	∈	∈	PROPN
ejpam-5567	309	21	a	a	DET
ejpam-5567	309	22	×	×	NOUN
ejpam-5567	309	23	b	b	NOUN
ejpam-5567	309	24	such	such	ADJ
ejpam-5567	309	25	that	that	SCONJ
ejpam-5567	309	26	f	f	PROPN
ejpam-5567	309	27	(	(	PUNCT
ejpam-5567	309	28	e	e	NOUN
ejpam-5567	309	29	)	)	PUNCT
ejpam-5567	309	30	=	=	SYM
ejpam-5567	309	31	(	(	PUNCT
ejpam-5567	309	32	x1	x1	PROPN
ejpam-5567	309	33	,	,	PUNCT
ejpam-5567	309	34	y1	y1	NOUN
ejpam-5567	309	35	,	,	PUNCT
ejpam-5567	309	36	z̧1	z̧1	X
ejpam-5567	309	37	)	)	PUNCT
ejpam-5567	309	38	and	and	CCONJ
ejpam-5567	309	39	g(e	g(e	PROPN
ejpam-5567	309	40	)	)	PUNCT
ejpam-5567	309	41	=	=	PRON
ejpam-5567	309	42	(	(	PUNCT
ejpam-5567	309	43	x2	x2	PROPN
ejpam-5567	309	44	,	,	PUNCT
ejpam-5567	309	45	y2	y2	PROPN
ejpam-5567	309	46	,	,	PUNCT
ejpam-5567	309	47	z̧2	z̧2	NOUN
ejpam-5567	309	48	)	)	PUNCT
ejpam-5567	309	49	.	.	PUNCT
ejpam-5567	310	1	example	example	NOUN
ejpam-5567	311	1	10	10	NUM
ejpam-5567	311	2	.	.	PUNCT
ejpam-5567	312	1	consider	consider	VERB
ejpam-5567	312	2	the	the	DET
ejpam-5567	312	3	following	follow	VERB
ejpam-5567	312	4	sets	set	NOUN
ejpam-5567	312	5	:	:	PUNCT
ejpam-5567	312	6	u1	u1	NOUN
ejpam-5567	312	7	=	=	SYM
ejpam-5567	312	8	{	{	PUNCT
ejpam-5567	312	9	j1	j1	PROPN
ejpam-5567	312	10	,	,	PUNCT
ejpam-5567	312	11	j2	j2	PROPN
ejpam-5567	312	12	,	,	PUNCT
ejpam-5567	312	13	j3	j3	PROPN
ejpam-5567	312	14	,	,	PUNCT
ejpam-5567	312	15	j4	j4	PROPN
ejpam-5567	312	16	,	,	PUNCT
ejpam-5567	312	17	j5	j5	PROPN
ejpam-5567	312	18	,	,	PUNCT
ejpam-5567	312	19	j6	j6	PROPN
ejpam-5567	312	20	}	}	PUNCT
ejpam-5567	312	21	is	be	AUX
ejpam-5567	312	22	the	the	DET
ejpam-5567	312	23	set	set	NOUN
ejpam-5567	312	24	of	of	ADP
ejpam-5567	312	25	shoes	shoe	NOUN
ejpam-5567	312	26	,	,	PUNCT
ejpam-5567	312	27	u2	u2	PROPN
ejpam-5567	312	28	=	=	SYM
ejpam-5567	312	29	{	{	PUNCT
ejpam-5567	312	30	p1	p1	NOUN
ejpam-5567	312	31	,	,	PUNCT
ejpam-5567	312	32	p2	p2	NOUN
ejpam-5567	312	33	,	,	PUNCT
ejpam-5567	312	34	p3	p3	NOUN
ejpam-5567	312	35	,	,	PUNCT
ejpam-5567	312	36	p4	p4	ADJ
ejpam-5567	312	37	}	}	PUNCT
ejpam-5567	312	38	is	be	AUX
ejpam-5567	312	39	the	the	DET
ejpam-5567	312	40	set	set	NOUN
ejpam-5567	312	41	of	of	ADP
ejpam-5567	312	42	purses	purse	NOUN
ejpam-5567	312	43	,	,	PUNCT
ejpam-5567	312	44	u3	u3	NOUN
ejpam-5567	312	45	=	=	SYM
ejpam-5567	312	46	{	{	PUNCT
ejpam-5567	312	47	l1	l1	PROPN
ejpam-5567	312	48	,	,	PUNCT
ejpam-5567	312	49	l2	l2	NOUN
ejpam-5567	312	50	,	,	PUNCT
ejpam-5567	312	51	l3	l3	PROPN
ejpam-5567	312	52	,	,	PUNCT
ejpam-5567	312	53	l4	l4	PROPN
ejpam-5567	312	54	}	}	PUNCT
ejpam-5567	312	55	is	be	AUX
ejpam-5567	312	56	the	the	DET
ejpam-5567	312	57	set	set	NOUN
ejpam-5567	312	58	of	of	ADP
ejpam-5567	312	59	lipsticks	lipstick	NOUN
ejpam-5567	312	60	,	,	PUNCT
ejpam-5567	312	61	e	e	X
ejpam-5567	312	62	=	=	PUNCT
ejpam-5567	312	63	(	(	PUNCT
ejpam-5567	312	64	e1	e1	NOUN
ejpam-5567	312	65	=	=	SYM
ejpam-5567	312	66	expensive	expensive	ADJ
ejpam-5567	312	67	,	,	PUNCT
ejpam-5567	312	68	e2	e2	PROPN
ejpam-5567	312	69	=	=	SYM
ejpam-5567	312	70	cheap	cheap	ADJ
ejpam-5567	312	71	,	,	PUNCT
ejpam-5567	312	72	e3	e3	NOUN
ejpam-5567	312	73	=	=	SYM
ejpam-5567	312	74	black	black	ADJ
ejpam-5567	312	75	,	,	PUNCT
ejpam-5567	312	76	e4	e4	PROPN
ejpam-5567	312	77	=	=	PUNCT
ejpam-5567	312	78	brown	brown	PROPN
ejpam-5567	312	79	,	,	PUNCT
ejpam-5567	312	80	e5	e5	NOUN
ejpam-5567	312	81	=	=	SYM
ejpam-5567	312	82	leather	leather	NOUN
ejpam-5567	312	83	,	,	PUNCT
ejpam-5567	312	84	e6	e6	PROPN
ejpam-5567	312	85	=	=	SYM
ejpam-5567	312	86	sport	sport	PROPN
ejpam-5567	312	87	,	,	PUNCT
ejpam-5567	312	88	e7	e7	PROPN
ejpam-5567	312	89	=	=	SYM
ejpam-5567	312	90	classic	classic	NOUN
ejpam-5567	312	91	,	,	PUNCT
ejpam-5567	312	92	e8	e8	PROPN
ejpam-5567	312	93	=	=	SYM
ejpam-5567	312	94	smart	smart	ADJ
ejpam-5567	312	95	)	)	PUNCT
ejpam-5567	312	96	.	.	PUNCT
ejpam-5567	313	1	(	(	PUNCT
ejpam-5567	313	2	f	f	X
ejpam-5567	313	3	,	,	PUNCT
ejpam-5567	313	4	a	a	PRON
ejpam-5567	313	5	)	)	PUNCT
ejpam-5567	313	6	=	=	SYM
ejpam-5567	313	7	{	{	PUNCT
ejpam-5567	313	8	(	(	PUNCT
ejpam-5567	313	9	e1	e1	PROPN
ejpam-5567	313	10	,	,	PUNCT
ejpam-5567	313	11	{	{	PUNCT
ejpam-5567	313	12	j1	j1	PROPN
ejpam-5567	313	13	,	,	PUNCT
ejpam-5567	313	14	j2	j2	PROPN
ejpam-5567	313	15	}	}	PUNCT
ejpam-5567	313	16	,	,	PUNCT
ejpam-5567	313	17	{	{	PUNCT
ejpam-5567	313	18	p2	p2	X
ejpam-5567	313	19	}	}	PUNCT
ejpam-5567	313	20	,	,	PUNCT
ejpam-5567	313	21	{	{	PUNCT
ejpam-5567	313	22	l1	l1	PROPN
ejpam-5567	313	23	}	}	PUNCT
ejpam-5567	313	24	)	)	PUNCT
ejpam-5567	313	25	,	,	PUNCT
ejpam-5567	313	26	(	(	PUNCT
ejpam-5567	313	27	e3	e3	NOUN
ejpam-5567	313	28	,	,	PUNCT
ejpam-5567	313	29	{	{	PUNCT
ejpam-5567	313	30	j4	j4	PROPN
ejpam-5567	313	31	,	,	PUNCT
ejpam-5567	313	32	j5	j5	PROPN
ejpam-5567	313	33	,	,	PUNCT
ejpam-5567	313	34	j6	j6	PROPN
ejpam-5567	313	35	}	}	PUNCT
ejpam-5567	313	36	,	,	PUNCT
ejpam-5567	313	37	{	{	PUNCT
ejpam-5567	313	38	p1	p1	NOUN
ejpam-5567	313	39	,	,	PUNCT
ejpam-5567	313	40	p3	p3	PROPN
ejpam-5567	313	41	}	}	PUNCT
ejpam-5567	313	42	,	,	PUNCT
ejpam-5567	313	43	{	{	PUNCT
ejpam-5567	313	44	l1	l1	PROPN
ejpam-5567	313	45	,	,	PUNCT
ejpam-5567	313	46	l3	l3	PROPN
ejpam-5567	313	47	}	}	PUNCT
ejpam-5567	313	48	)	)	PUNCT
ejpam-5567	313	49	,	,	PUNCT
ejpam-5567	313	50	(	(	PUNCT
ejpam-5567	313	51	e5	e5	INTJ
ejpam-5567	313	52	,	,	PUNCT
ejpam-5567	313	53	{	{	PUNCT
ejpam-5567	313	54	j2	j2	PROPN
ejpam-5567	313	55	,	,	PUNCT
ejpam-5567	313	56	j4	j4	PROPN
ejpam-5567	313	57	,	,	PUNCT
ejpam-5567	313	58	j6	j6	PROPN
ejpam-5567	313	59	}	}	PUNCT
ejpam-5567	313	60	,	,	PUNCT
ejpam-5567	313	61	{	{	PUNCT
ejpam-5567	313	62	p2	p2	NOUN
ejpam-5567	313	63	,	,	PUNCT
ejpam-5567	313	64	p4	p4	ADJ
ejpam-5567	313	65	}	}	PUNCT
ejpam-5567	313	66	,	,	PUNCT
ejpam-5567	313	67	{	{	PUNCT
ejpam-5567	313	68	l2	l2	NOUN
ejpam-5567	313	69	,	,	PUNCT
ejpam-5567	313	70	l4	l4	PROPN
ejpam-5567	313	71	}	}	PUNCT
ejpam-5567	313	72	)	)	PUNCT
ejpam-5567	313	73	}	}	PUNCT
ejpam-5567	313	74	,	,	PUNCT
ejpam-5567	313	75	(	(	PUNCT
ejpam-5567	313	76	g	g	NOUN
ejpam-5567	313	77	,	,	PUNCT
ejpam-5567	313	78	b	b	NOUN
ejpam-5567	313	79	)	)	PUNCT
ejpam-5567	313	80	=	=	SYM
ejpam-5567	313	81	{	{	PUNCT
ejpam-5567	313	82	(	(	PUNCT
ejpam-5567	313	83	e3	e3	NOUN
ejpam-5567	313	84	,	,	PUNCT
ejpam-5567	313	85	{	{	PUNCT
ejpam-5567	313	86	j4	j4	PROPN
ejpam-5567	313	87	,	,	PUNCT
ejpam-5567	313	88	j5	j5	PROPN
ejpam-5567	313	89	}	}	PUNCT
ejpam-5567	313	90	,	,	PUNCT
ejpam-5567	313	91	{	{	PUNCT
ejpam-5567	313	92	p1	p1	NOUN
ejpam-5567	313	93	,	,	PUNCT
ejpam-5567	313	94	p4	p4	ADJ
ejpam-5567	313	95	}	}	PUNCT
ejpam-5567	313	96	,	,	PUNCT
ejpam-5567	313	97	{	{	PUNCT
ejpam-5567	313	98	l1	l1	PROPN
ejpam-5567	313	99	,	,	PUNCT
ejpam-5567	313	100	l4	l4	PROPN
ejpam-5567	313	101	}	}	PUNCT
ejpam-5567	313	102	)	)	PUNCT
ejpam-5567	313	103	,	,	PUNCT
ejpam-5567	313	104	(	(	PUNCT
ejpam-5567	313	105	e4	e4	PROPN
ejpam-5567	313	106	,	,	PUNCT
ejpam-5567	313	107	{	{	PUNCT
ejpam-5567	313	108	j1	j1	PROPN
ejpam-5567	313	109	}	}	PUNCT
ejpam-5567	313	110	,	,	PUNCT
ejpam-5567	313	111	{	{	PUNCT
ejpam-5567	313	112	p2	p2	X
ejpam-5567	313	113	}	}	PUNCT
ejpam-5567	313	114	,	,	PUNCT
ejpam-5567	313	115	{	{	PUNCT
ejpam-5567	313	116	l2	l2	NOUN
ejpam-5567	313	117	}	}	PUNCT
ejpam-5567	313	118	)	)	PUNCT
ejpam-5567	313	119	,	,	PUNCT
ejpam-5567	313	120	(	(	PUNCT
ejpam-5567	313	121	e6	e6	PROPN
ejpam-5567	313	122	,	,	PUNCT
ejpam-5567	313	123	{	{	PUNCT
ejpam-5567	313	124	j1	j1	PROPN
ejpam-5567	313	125	,	,	PUNCT
ejpam-5567	313	126	j2	j2	PROPN
ejpam-5567	313	127	}	}	PUNCT
ejpam-5567	313	128	,	,	PUNCT
ejpam-5567	313	129	{	{	PUNCT
ejpam-5567	313	130	p4	p4	ADJ
ejpam-5567	313	131	}	}	PUNCT
ejpam-5567	313	132	,	,	PUNCT
ejpam-5567	313	133	{	{	PUNCT
ejpam-5567	313	134	l4	l4	PROPN
ejpam-5567	313	135	}	}	PUNCT
ejpam-5567	313	136	)	)	PUNCT
ejpam-5567	313	137	,	,	PUNCT
ejpam-5567	313	138	(	(	PUNCT
ejpam-5567	313	139	e8	e8	PROPN
ejpam-5567	313	140	,	,	PUNCT
ejpam-5567	313	141	{	{	PUNCT
ejpam-5567	313	142	j5	j5	PROPN
ejpam-5567	313	143	}	}	PUNCT
ejpam-5567	313	144	,	,	PUNCT
ejpam-5567	313	145	{	{	PUNCT
ejpam-5567	313	146	p1	p1	NOUN
ejpam-5567	313	147	}	}	PUNCT
ejpam-5567	313	148	,	,	PUNCT
ejpam-5567	313	149	{	{	PUNCT
ejpam-5567	313	150	l1	l1	PROPN
ejpam-5567	313	151	}	}	PUNCT
ejpam-5567	313	152	)	)	PUNCT
ejpam-5567	313	153	}	}	PUNCT
ejpam-5567	313	154	,	,	PUNCT
ejpam-5567	313	155	(	(	PUNCT
ejpam-5567	313	156	h	h	NOUN
ejpam-5567	313	157	,	,	PUNCT
ejpam-5567	313	158	a×b	a×b	PROPN
ejpam-5567	313	159	)	)	PUNCT
ejpam-5567	313	160	=	=	PUNCT
ejpam-5567	314	1	(	(	PUNCT
ejpam-5567	314	2	f	f	X
ejpam-5567	314	3	,	,	PUNCT
ejpam-5567	314	4	a)˜̃∧(g	a)˜̃∧(g	ADJ
ejpam-5567	314	5	,	,	PUNCT
ejpam-5567	314	6	b	b	NOUN
ejpam-5567	314	7	)	)	PUNCT
ejpam-5567	314	8	is	be	AUX
ejpam-5567	314	9	the	the	DET
ejpam-5567	314	10	ternary	ternary	ADJ
ejpam-5567	314	11	soft	soft	ADJ
ejpam-5567	314	12	set	set	NOUN
ejpam-5567	314	13	as	as	SCONJ
ejpam-5567	314	14	follows	follow	VERB
ejpam-5567	314	15	:	:	PUNCT
ejpam-5567	314	16	(	(	PUNCT
ejpam-5567	314	17	h	h	NOUN
ejpam-5567	314	18	,	,	PUNCT
ejpam-5567	314	19	a×b	a×b	PROPN
ejpam-5567	314	20	)	)	PUNCT
ejpam-5567	315	1	=	=	PRON
ejpam-5567	315	2	{	{	PUNCT
ejpam-5567	315	3	(	(	PUNCT
ejpam-5567	315	4	(	(	PUNCT
ejpam-5567	315	5	e1	e1	NOUN
ejpam-5567	315	6	,	,	PUNCT
ejpam-5567	315	7	e3	e3	NOUN
ejpam-5567	315	8	)	)	PUNCT
ejpam-5567	315	9	,	,	PUNCT
ejpam-5567	315	10	(	(	PUNCT
ejpam-5567	315	11	∅	∅	NOUN
ejpam-5567	315	12	,	,	PUNCT
ejpam-5567	315	13	∅	∅	NOUN
ejpam-5567	315	14	,	,	PUNCT
ejpam-5567	315	15	{	{	PUNCT
ejpam-5567	315	16	l1	l1	PROPN
ejpam-5567	315	17	}	}	PUNCT
ejpam-5567	315	18	)	)	PUNCT
ejpam-5567	315	19	)	)	PUNCT
ejpam-5567	315	20	,	,	PUNCT
ejpam-5567	315	21	(	(	PUNCT
ejpam-5567	315	22	(	(	PUNCT
ejpam-5567	315	23	e1	e1	PROPN
ejpam-5567	315	24	,	,	PUNCT
ejpam-5567	315	25	e4	e4	PROPN
ejpam-5567	315	26	)	)	PUNCT
ejpam-5567	315	27	,	,	PUNCT
ejpam-5567	315	28	(	(	PUNCT
ejpam-5567	315	29	{	{	PUNCT
ejpam-5567	315	30	j1	j1	PROPN
ejpam-5567	315	31	}	}	PUNCT
ejpam-5567	315	32	,	,	PUNCT
ejpam-5567	315	33	{	{	PUNCT
ejpam-5567	315	34	p2	p2	X
ejpam-5567	315	35	}	}	PUNCT
ejpam-5567	315	36	,	,	PUNCT
ejpam-5567	315	37	∅	∅	NOUN
ejpam-5567	315	38	)	)	PUNCT
ejpam-5567	315	39	)	)	PUNCT
ejpam-5567	315	40	,	,	PUNCT
ejpam-5567	315	41	(	(	PUNCT
ejpam-5567	315	42	(	(	PUNCT
ejpam-5567	315	43	e1	e1	NOUN
ejpam-5567	315	44	,	,	PUNCT
ejpam-5567	315	45	e6	e6	NOUN
ejpam-5567	315	46	)	)	PUNCT
ejpam-5567	315	47	,	,	PUNCT
ejpam-5567	315	48	(	(	PUNCT
ejpam-5567	315	49	{	{	PUNCT
ejpam-5567	315	50	j1	j1	PROPN
ejpam-5567	315	51	,	,	PUNCT
ejpam-5567	315	52	j2	j2	PROPN
ejpam-5567	315	53	}	}	PUNCT
ejpam-5567	315	54	,	,	PUNCT
ejpam-5567	315	55	∅	∅	NOUN
ejpam-5567	315	56	,	,	PUNCT
ejpam-5567	315	57	∅	∅	NOUN
ejpam-5567	315	58	)	)	PUNCT
ejpam-5567	315	59	)	)	PUNCT
ejpam-5567	315	60	,	,	PUNCT
ejpam-5567	315	61	(	(	PUNCT
ejpam-5567	315	62	(	(	PUNCT
ejpam-5567	315	63	e1	e1	PROPN
ejpam-5567	315	64	,	,	PUNCT
ejpam-5567	315	65	e8	e8	PROPN
ejpam-5567	315	66	)	)	PUNCT
ejpam-5567	315	67	,	,	PUNCT
ejpam-5567	315	68	(	(	PUNCT
ejpam-5567	315	69	∅	∅	NOUN
ejpam-5567	315	70	,	,	PUNCT
ejpam-5567	315	71	∅	∅	NOUN
ejpam-5567	315	72	,	,	PUNCT
ejpam-5567	315	73	{	{	PUNCT
ejpam-5567	315	74	l1	l1	PROPN
ejpam-5567	315	75	}	}	PUNCT
ejpam-5567	315	76	)	)	PUNCT
ejpam-5567	315	77	)	)	PUNCT
ejpam-5567	315	78	,	,	PUNCT
ejpam-5567	315	79	(	(	PUNCT
ejpam-5567	315	80	(	(	PUNCT
ejpam-5567	315	81	e3	e3	NOUN
ejpam-5567	315	82	,	,	PUNCT
ejpam-5567	315	83	e3	e3	NOUN
ejpam-5567	315	84	)	)	PUNCT
ejpam-5567	315	85	,	,	PUNCT
ejpam-5567	315	86	(	(	PUNCT
ejpam-5567	315	87	{	{	PUNCT
ejpam-5567	315	88	j4	j4	PROPN
ejpam-5567	315	89	,	,	PUNCT
ejpam-5567	315	90	j5	j5	PROPN
ejpam-5567	315	91	}	}	PUNCT
ejpam-5567	315	92	,	,	PUNCT
ejpam-5567	315	93	{	{	PUNCT
ejpam-5567	315	94	p1	p1	NOUN
ejpam-5567	315	95	}	}	PUNCT
ejpam-5567	315	96	,	,	PUNCT
ejpam-5567	315	97	{	{	PUNCT
ejpam-5567	315	98	l1	l1	PROPN
ejpam-5567	315	99	}	}	PUNCT
ejpam-5567	315	100	)	)	PUNCT
ejpam-5567	315	101	)	)	PUNCT
ejpam-5567	315	102	,	,	PUNCT
ejpam-5567	315	103	(	(	PUNCT
ejpam-5567	315	104	(	(	PUNCT
ejpam-5567	315	105	e3	e3	X
ejpam-5567	315	106	,	,	PUNCT
ejpam-5567	315	107	e4	e4	PROPN
ejpam-5567	315	108	)	)	PUNCT
ejpam-5567	315	109	,	,	PUNCT
ejpam-5567	315	110	(	(	PUNCT
ejpam-5567	315	111	∅	∅	NOUN
ejpam-5567	315	112	,	,	PUNCT
ejpam-5567	315	113	∅	∅	NOUN
ejpam-5567	315	114	,	,	PUNCT
ejpam-5567	315	115	∅	∅	NOUN
ejpam-5567	315	116	)	)	PUNCT
ejpam-5567	315	117	)	)	PUNCT
ejpam-5567	315	118	,	,	PUNCT
ejpam-5567	315	119	(	(	PUNCT
ejpam-5567	315	120	(	(	PUNCT
ejpam-5567	315	121	e3	e3	NOUN
ejpam-5567	315	122	,	,	PUNCT
ejpam-5567	315	123	e6	e6	NOUN
ejpam-5567	315	124	)	)	PUNCT
ejpam-5567	315	125	,	,	PUNCT
ejpam-5567	315	126	(	(	PUNCT
ejpam-5567	315	127	∅	∅	NOUN
ejpam-5567	315	128	,	,	PUNCT
ejpam-5567	315	129	∅	∅	NOUN
ejpam-5567	315	130	,	,	PUNCT
ejpam-5567	315	131	∅	∅	NOUN
ejpam-5567	315	132	)	)	PUNCT
ejpam-5567	315	133	)	)	PUNCT
ejpam-5567	315	134	,	,	PUNCT
ejpam-5567	315	135	(	(	PUNCT
ejpam-5567	315	136	(	(	PUNCT
ejpam-5567	315	137	e3	e3	X
ejpam-5567	315	138	,	,	PUNCT
ejpam-5567	315	139	e8	e8	PROPN
ejpam-5567	315	140	)	)	PUNCT
ejpam-5567	315	141	,	,	PUNCT
ejpam-5567	315	142	(	(	PUNCT
ejpam-5567	315	143	{	{	PUNCT
ejpam-5567	315	144	j5	j5	PROPN
ejpam-5567	315	145	}	}	PUNCT
ejpam-5567	315	146	,	,	PUNCT
ejpam-5567	315	147	{	{	PUNCT
ejpam-5567	315	148	p1	p1	NOUN
ejpam-5567	315	149	}	}	PUNCT
ejpam-5567	315	150	,	,	PUNCT
ejpam-5567	315	151	{	{	PUNCT
ejpam-5567	315	152	l1	l1	PROPN
ejpam-5567	315	153	}	}	PUNCT
ejpam-5567	315	154	)	)	PUNCT
ejpam-5567	315	155	)	)	PUNCT
ejpam-5567	315	156	,	,	PUNCT
ejpam-5567	315	157	(	(	PUNCT
ejpam-5567	315	158	(	(	PUNCT
ejpam-5567	315	159	e5	e5	INTJ
ejpam-5567	315	160	,	,	PUNCT
ejpam-5567	315	161	e3	e3	PROPN
ejpam-5567	315	162	)	)	PUNCT
ejpam-5567	315	163	,	,	PUNCT
ejpam-5567	315	164	(	(	PUNCT
ejpam-5567	315	165	{	{	PUNCT
ejpam-5567	315	166	j4	j4	PROPN
ejpam-5567	315	167	}	}	PUNCT
ejpam-5567	315	168	,	,	PUNCT
ejpam-5567	315	169	{	{	PUNCT
ejpam-5567	315	170	p4	p4	ADJ
ejpam-5567	315	171	}	}	PUNCT
ejpam-5567	315	172	,	,	PUNCT
ejpam-5567	315	173	{	{	PUNCT
ejpam-5567	315	174	l4	l4	PROPN
ejpam-5567	315	175	}	}	PUNCT
ejpam-5567	315	176	)	)	PUNCT
ejpam-5567	315	177	)	)	PUNCT
ejpam-5567	315	178	,	,	PUNCT
ejpam-5567	315	179	(	(	PUNCT
ejpam-5567	315	180	(	(	PUNCT
ejpam-5567	315	181	e5	e5	PROPN
ejpam-5567	315	182	,	,	PUNCT
ejpam-5567	315	183	e4	e4	PROPN
ejpam-5567	315	184	)	)	PUNCT
ejpam-5567	315	185	,	,	PUNCT
ejpam-5567	315	186	(	(	PUNCT
ejpam-5567	315	187	∅	∅	NOUN
ejpam-5567	315	188	,	,	PUNCT
ejpam-5567	315	189	{	{	PUNCT
ejpam-5567	315	190	p2	p2	X
ejpam-5567	315	191	}	}	PUNCT
ejpam-5567	315	192	,	,	PUNCT
ejpam-5567	315	193	{	{	PUNCT
ejpam-5567	315	194	l2	l2	NOUN
ejpam-5567	315	195	}	}	PUNCT
ejpam-5567	315	196	)	)	PUNCT
ejpam-5567	315	197	)	)	PUNCT
ejpam-5567	315	198	,	,	PUNCT
ejpam-5567	315	199	(	(	PUNCT
ejpam-5567	315	200	(	(	PUNCT
ejpam-5567	315	201	e5	e5	PROPN
ejpam-5567	315	202	,	,	PUNCT
ejpam-5567	315	203	e6	e6	PROPN
ejpam-5567	315	204	)	)	PUNCT
ejpam-5567	315	205	,	,	PUNCT
ejpam-5567	315	206	(	(	PUNCT
ejpam-5567	315	207	{	{	PUNCT
ejpam-5567	315	208	j2	j2	PROPN
ejpam-5567	315	209	}	}	PUNCT
ejpam-5567	315	210	,	,	PUNCT
ejpam-5567	315	211	{	{	PUNCT
ejpam-5567	315	212	p4	p4	ADJ
ejpam-5567	315	213	}	}	PUNCT
ejpam-5567	315	214	,	,	PUNCT
ejpam-5567	315	215	{	{	PUNCT
ejpam-5567	315	216	l4	l4	PROPN
ejpam-5567	315	217	}	}	PUNCT
ejpam-5567	315	218	)	)	PUNCT
ejpam-5567	315	219	)	)	PUNCT
ejpam-5567	315	220	,	,	PUNCT
ejpam-5567	315	221	(	(	PUNCT
ejpam-5567	315	222	(	(	PUNCT
ejpam-5567	315	223	e5	e5	PROPN
ejpam-5567	315	224	,	,	PUNCT
ejpam-5567	315	225	e8	e8	PROPN
ejpam-5567	315	226	)	)	PUNCT
ejpam-5567	315	227	,	,	PUNCT
ejpam-5567	315	228	(	(	PUNCT
ejpam-5567	315	229	∅	∅	NOUN
ejpam-5567	315	230	,	,	PUNCT
ejpam-5567	315	231	∅	∅	NOUN
ejpam-5567	315	232	,	,	PUNCT
ejpam-5567	315	233	∅	∅	NOUN
ejpam-5567	315	234	)	)	PUNCT
ejpam-5567	315	235	)	)	PUNCT
ejpam-5567	315	236	}	}	PUNCT
ejpam-5567	315	237	.	.	PUNCT
ejpam-5567	316	1	definition	definition	NOUN
ejpam-5567	316	2	24	24	NUM
ejpam-5567	316	3	.	.	PUNCT
ejpam-5567	317	1	if	if	SCONJ
ejpam-5567	317	2	(	(	PUNCT
ejpam-5567	317	3	f	f	X
ejpam-5567	317	4	,	,	PUNCT
ejpam-5567	317	5	a	a	PRON
ejpam-5567	317	6	)	)	PUNCT
ejpam-5567	317	7	and	and	CCONJ
ejpam-5567	317	8	(	(	PUNCT
ejpam-5567	317	9	g	g	NOUN
ejpam-5567	317	10	,	,	PUNCT
ejpam-5567	317	11	b	b	NOUN
ejpam-5567	317	12	)	)	PUNCT
ejpam-5567	317	13	are	be	AUX
ejpam-5567	317	14	two	two	NUM
ejpam-5567	317	15	ternary	ternary	ADJ
ejpam-5567	317	16	soft	soft	ADJ
ejpam-5567	317	17	sets	set	NOUN
ejpam-5567	317	18	,	,	PUNCT
ejpam-5567	317	19	then	then	ADV
ejpam-5567	317	20	“	"	PUNCT
ejpam-5567	317	21	(	(	PUNCT
ejpam-5567	317	22	f	f	X
ejpam-5567	317	23	,	,	PUNCT
ejpam-5567	317	24	a)or	a)or	PROPN
ejpam-5567	317	25	(	(	PUNCT
ejpam-5567	317	26	g	g	PROPN
ejpam-5567	317	27	,	,	PUNCT
ejpam-5567	317	28	b	b	NOUN
ejpam-5567	317	29	)	)	PUNCT
ejpam-5567	317	30	”	"	PUNCT
ejpam-5567	317	31	denoted	denote	VERB
ejpam-5567	317	32	by	by	ADP
ejpam-5567	317	33	(	(	PUNCT
ejpam-5567	317	34	f	f	NOUN
ejpam-5567	317	35	,	,	PUNCT
ejpam-5567	317	36	a)˜̃∨(g	a)˜̃∨(g	NOUN
ejpam-5567	317	37	,	,	PUNCT
ejpam-5567	317	38	b)as	b)as	PROPN
ejpam-5567	317	39	:	:	PUNCT
ejpam-5567	317	40	(	(	PUNCT
ejpam-5567	317	41	f	f	X
ejpam-5567	317	42	,	,	PUNCT
ejpam-5567	317	43	a)˜̃∨(g	a)˜̃∨(g	NOUN
ejpam-5567	317	44	,	,	PUNCT
ejpam-5567	317	45	b	b	NOUN
ejpam-5567	317	46	)	)	PUNCT
ejpam-5567	317	47	=	=	SYM
ejpam-5567	317	48	(	(	PUNCT
ejpam-5567	317	49	o	o	NOUN
ejpam-5567	317	50	,	,	PUNCT
ejpam-5567	317	51	a×b	a×b	PROPN
ejpam-5567	317	52	)	)	PUNCT
ejpam-5567	317	53	,	,	PUNCT
ejpam-5567	317	54	where	where	SCONJ
ejpam-5567	317	55	o(e	o(e	PROPN
ejpam-5567	317	56	,	,	PUNCT
ejpam-5567	317	57	f	f	X
ejpam-5567	317	58	)	)	PUNCT
ejpam-5567	317	59	=	=	SYM
ejpam-5567	317	60	(	(	PUNCT
ejpam-5567	317	61	x1	x1	PROPN
ejpam-5567	317	62	∪x2	∪x2	ADJ
ejpam-5567	317	63	,	,	PUNCT
ejpam-5567	317	64	y1	y1	NOUN
ejpam-5567	317	65	∪	∪	NOUN
ejpam-5567	317	66	y2	y2	PROPN
ejpam-5567	317	67	,	,	PUNCT
ejpam-5567	317	68	z̧1	z̧1	X
ejpam-5567	317	69	∪	∪	PROPN
ejpam-5567	317	70	z̧2	z̧2	NOUN
ejpam-5567	317	71	)	)	PUNCT
ejpam-5567	317	72	for	for	ADP
ejpam-5567	317	73	each	each	DET
ejpam-5567	317	74	(	(	PUNCT
ejpam-5567	317	75	e	e	NOUN
ejpam-5567	317	76	,	,	PUNCT
ejpam-5567	317	77	f	f	X
ejpam-5567	317	78	)	)	PUNCT
ejpam-5567	317	79	∈	∈	PROPN
ejpam-5567	317	80	a×b	a×b	PROPN
ejpam-5567	317	81	,	,	PUNCT
ejpam-5567	317	82	such	such	ADJ
ejpam-5567	317	83	that	that	SCONJ
ejpam-5567	317	84	f	f	PROPN
ejpam-5567	317	85	(	(	PUNCT
ejpam-5567	317	86	e	e	NOUN
ejpam-5567	317	87	)	)	PUNCT
ejpam-5567	317	88	=	=	SYM
ejpam-5567	317	89	(	(	PUNCT
ejpam-5567	317	90	x1	x1	PROPN
ejpam-5567	317	91	,	,	PUNCT
ejpam-5567	317	92	y1	y1	NOUN
ejpam-5567	317	93	,	,	PUNCT
ejpam-5567	317	94	z̧1	z̧1	X
ejpam-5567	317	95	)	)	PUNCT
ejpam-5567	317	96	and	and	CCONJ
ejpam-5567	317	97	g(e	g(e	PROPN
ejpam-5567	317	98	)	)	PUNCT
ejpam-5567	318	1	=	=	PRON
ejpam-5567	318	2	(	(	PUNCT
ejpam-5567	318	3	x2	x2	PROPN
ejpam-5567	318	4	,	,	PUNCT
ejpam-5567	318	5	y2	y2	PROPN
ejpam-5567	318	6	,	,	PUNCT
ejpam-5567	318	7	z̧2	z̧2	NOUN
ejpam-5567	318	8	)	)	PUNCT
ejpam-5567	318	9	.	.	PUNCT
ejpam-5567	319	1	example	example	NOUN
ejpam-5567	320	1	11	11	NUM
ejpam-5567	320	2	.	.	PUNCT
ejpam-5567	321	1	consider	consider	VERB
ejpam-5567	321	2	the	the	DET
ejpam-5567	321	3	following	follow	VERB
ejpam-5567	321	4	sets	set	NOUN
ejpam-5567	321	5	:	:	PUNCT
ejpam-5567	321	6	u1	u1	NOUN
ejpam-5567	321	7	=	=	SYM
ejpam-5567	321	8	{	{	PUNCT
ejpam-5567	321	9	s1	s1	NOUN
ejpam-5567	321	10	,	,	PUNCT
ejpam-5567	321	11	s2	s2	PROPN
ejpam-5567	321	12	,	,	PUNCT
ejpam-5567	321	13	s3	s3	PROPN
ejpam-5567	321	14	,	,	PUNCT
ejpam-5567	321	15	s4	s4	PROPN
ejpam-5567	321	16	,	,	PUNCT
ejpam-5567	321	17	s5	s5	PROPN
ejpam-5567	321	18	,	,	PUNCT
ejpam-5567	321	19	s6	s6	PROPN
ejpam-5567	321	20	}	}	PUNCT
ejpam-5567	321	21	is	be	AUX
ejpam-5567	321	22	the	the	DET
ejpam-5567	321	23	set	set	NOUN
ejpam-5567	321	24	of	of	ADP
ejpam-5567	321	25	shoes	shoe	NOUN
ejpam-5567	321	26	,	,	PUNCT
ejpam-5567	321	27	u2	u2	PROPN
ejpam-5567	321	28	=	=	SYM
ejpam-5567	321	29	{	{	PUNCT
ejpam-5567	321	30	p1	p1	NOUN
ejpam-5567	321	31	,	,	PUNCT
ejpam-5567	321	32	p2	p2	NOUN
ejpam-5567	321	33	,	,	PUNCT
ejpam-5567	321	34	p3	p3	NOUN
ejpam-5567	321	35	,	,	PUNCT
ejpam-5567	321	36	p4	p4	ADJ
ejpam-5567	321	37	}	}	PUNCT
ejpam-5567	321	38	is	be	AUX
ejpam-5567	321	39	the	the	DET
ejpam-5567	321	40	set	set	NOUN
ejpam-5567	321	41	of	of	ADP
ejpam-5567	321	42	purses	purse	NOUN
ejpam-5567	321	43	,	,	PUNCT
ejpam-5567	321	44	u3	u3	NOUN
ejpam-5567	321	45	=	=	SYM
ejpam-5567	321	46	{	{	PUNCT
ejpam-5567	321	47	l1	l1	PROPN
ejpam-5567	321	48	,	,	PUNCT
ejpam-5567	321	49	l2	l2	NOUN
ejpam-5567	321	50	,	,	PUNCT
ejpam-5567	321	51	l3	l3	PROPN
ejpam-5567	321	52	,	,	PUNCT
ejpam-5567	321	53	l4	l4	PROPN
ejpam-5567	321	54	}	}	PUNCT
ejpam-5567	321	55	is	be	AUX
ejpam-5567	321	56	the	the	DET
ejpam-5567	321	57	set	set	NOUN
ejpam-5567	321	58	of	of	ADP
ejpam-5567	321	59	lipsticks	lipstick	NOUN
ejpam-5567	321	60	,	,	PUNCT
ejpam-5567	321	61	e	e	X
ejpam-5567	321	62	=	=	PRON
ejpam-5567	321	63	{	{	PUNCT
ejpam-5567	321	64	e1	e1	NOUN
ejpam-5567	321	65	=	=	SYM
ejpam-5567	321	66	expensive	expensive	ADJ
ejpam-5567	321	67	,	,	PUNCT
ejpam-5567	321	68	e2	e2	PROPN
ejpam-5567	321	69	=	=	SYM
ejpam-5567	321	70	cheap	cheap	ADJ
ejpam-5567	321	71	,	,	PUNCT
ejpam-5567	321	72	e3	e3	NOUN
ejpam-5567	321	73	=	=	SYM
ejpam-5567	321	74	black	black	ADJ
ejpam-5567	321	75	,	,	PUNCT
ejpam-5567	321	76	e4	e4	PROPN
ejpam-5567	321	77	=	=	PUNCT
ejpam-5567	321	78	brown	brown	PROPN
ejpam-5567	321	79	,	,	PUNCT
ejpam-5567	321	80	e5	e5	NOUN
ejpam-5567	321	81	=	=	SYM
ejpam-5567	321	82	leather	leather	NOUN
ejpam-5567	321	83	,	,	PUNCT
ejpam-5567	321	84	e6	e6	PROPN
ejpam-5567	321	85	=	=	SYM
ejpam-5567	321	86	sport	sport	PROPN
ejpam-5567	321	87	,	,	PUNCT
ejpam-5567	321	88	e7	e7	PROPN
ejpam-5567	321	89	=	=	SYM
ejpam-5567	321	90	classic	classic	NOUN
ejpam-5567	321	91	,	,	PUNCT
ejpam-5567	321	92	e8	e8	PROPN
ejpam-5567	321	93	=	=	SYM
ejpam-5567	321	94	smart	smart	ADJ
ejpam-5567	321	95	}	}	PUNCT
ejpam-5567	321	96	.	.	PUNCT
ejpam-5567	322	1	m.	m.	NOUN
ejpam-5567	322	2	nawaz	nawaz	PROPN
ejpam-5567	322	3	et	et	PROPN
ejpam-5567	322	4	al	al	PROPN
ejpam-5567	322	5	.	.	PUNCT
ejpam-5567	322	6	/	/	SYM
ejpam-5567	322	7	eur	eur	PROPN
ejpam-5567	322	8	.	.	PUNCT
ejpam-5567	323	1	j.	j.	PROPN
ejpam-5567	323	2	pure	pure	PROPN
ejpam-5567	323	3	appl	appl	PROPN
ejpam-5567	323	4	.	.	PROPN
ejpam-5567	323	5	math	math	PROPN
ejpam-5567	323	6	,	,	PUNCT
ejpam-5567	323	7	18	18	NUM
ejpam-5567	323	8	(	(	PUNCT
ejpam-5567	323	9	1	1	NUM
ejpam-5567	323	10	)	)	PUNCT
ejpam-5567	323	11	(	(	PUNCT
ejpam-5567	323	12	2025	2025	NUM
ejpam-5567	323	13	)	)	PUNCT
ejpam-5567	323	14	,	,	PUNCT
ejpam-5567	323	15	5567	5567	NUM
ejpam-5567	323	16	15	15	NUM
ejpam-5567	323	17	of	of	ADP
ejpam-5567	323	18	45	45	NUM
ejpam-5567	323	19	(	(	PUNCT
ejpam-5567	323	20	f	f	PROPN
ejpam-5567	323	21	,	,	PUNCT
ejpam-5567	323	22	a	a	PRON
ejpam-5567	323	23	)	)	PUNCT
ejpam-5567	323	24	=	=	SYM
ejpam-5567	323	25	{	{	PUNCT
ejpam-5567	323	26	(	(	PUNCT
ejpam-5567	323	27	e1	e1	NOUN
ejpam-5567	323	28	,	,	PUNCT
ejpam-5567	323	29	{	{	PUNCT
ejpam-5567	323	30	s1	s1	NOUN
ejpam-5567	323	31	,	,	PUNCT
ejpam-5567	323	32	s2	s2	PROPN
ejpam-5567	323	33	}	}	PUNCT
ejpam-5567	323	34	,	,	PUNCT
ejpam-5567	323	35	{	{	PUNCT
ejpam-5567	323	36	p2	p2	X
ejpam-5567	323	37	}	}	PUNCT
ejpam-5567	323	38	,	,	PUNCT
ejpam-5567	323	39	{	{	PUNCT
ejpam-5567	323	40	l1	l1	PROPN
ejpam-5567	323	41	}	}	PUNCT
ejpam-5567	323	42	)	)	PUNCT
ejpam-5567	323	43	,	,	PUNCT
ejpam-5567	323	44	(	(	PUNCT
ejpam-5567	323	45	e3	e3	NOUN
ejpam-5567	323	46	,	,	PUNCT
ejpam-5567	323	47	{	{	PUNCT
ejpam-5567	323	48	s4	s4	PROPN
ejpam-5567	323	49	,	,	PUNCT
ejpam-5567	323	50	s5	s5	PROPN
ejpam-5567	323	51	,	,	PUNCT
ejpam-5567	323	52	s6	s6	PROPN
ejpam-5567	323	53	}	}	PUNCT
ejpam-5567	323	54	,	,	PUNCT
ejpam-5567	323	55	{	{	PUNCT
ejpam-5567	323	56	p1	p1	NOUN
ejpam-5567	323	57	,	,	PUNCT
ejpam-5567	323	58	p3	p3	PROPN
ejpam-5567	323	59	}	}	PUNCT
ejpam-5567	323	60	,	,	PUNCT
ejpam-5567	323	61	{	{	PUNCT
ejpam-5567	323	62	l1	l1	PROPN
ejpam-5567	323	63	,	,	PUNCT
ejpam-5567	323	64	l3	l3	PROPN
ejpam-5567	323	65	}	}	PUNCT
ejpam-5567	323	66	)	)	PUNCT
ejpam-5567	323	67	,	,	PUNCT
ejpam-5567	323	68	(	(	PUNCT
ejpam-5567	323	69	e5	e5	INTJ
ejpam-5567	323	70	,	,	PUNCT
ejpam-5567	323	71	{	{	PUNCT
ejpam-5567	323	72	s2	s2	PROPN
ejpam-5567	323	73	,	,	PUNCT
ejpam-5567	323	74	s4	s4	PROPN
ejpam-5567	323	75	,	,	PUNCT
ejpam-5567	323	76	s6	s6	PROPN
ejpam-5567	323	77	}	}	PUNCT
ejpam-5567	323	78	,	,	PUNCT
ejpam-5567	323	79	{	{	PUNCT
ejpam-5567	323	80	p2	p2	NOUN
ejpam-5567	323	81	,	,	PUNCT
ejpam-5567	323	82	p4	p4	ADJ
ejpam-5567	323	83	}	}	PUNCT
ejpam-5567	323	84	,	,	PUNCT
ejpam-5567	323	85	{	{	PUNCT
ejpam-5567	323	86	l2	l2	NOUN
ejpam-5567	323	87	,	,	PUNCT
ejpam-5567	323	88	l4	l4	PROPN
ejpam-5567	323	89	}	}	PUNCT
ejpam-5567	323	90	)	)	PUNCT
ejpam-5567	323	91	}	}	PUNCT
ejpam-5567	323	92	.	.	PUNCT
ejpam-5567	324	1	(	(	PUNCT
ejpam-5567	324	2	g	g	NOUN
ejpam-5567	324	3	,	,	PUNCT
ejpam-5567	324	4	b	b	NOUN
ejpam-5567	324	5	)	)	PUNCT
ejpam-5567	324	6	=	=	SYM
ejpam-5567	324	7	{	{	PUNCT
ejpam-5567	324	8	(	(	PUNCT
ejpam-5567	324	9	e3	e3	NOUN
ejpam-5567	324	10	,	,	PUNCT
ejpam-5567	324	11	{	{	PUNCT
ejpam-5567	324	12	s4	s4	PROPN
ejpam-5567	324	13	,	,	PUNCT
ejpam-5567	324	14	s5	s5	PROPN
ejpam-5567	324	15	}	}	PUNCT
ejpam-5567	324	16	,	,	PUNCT
ejpam-5567	324	17	{	{	PUNCT
ejpam-5567	324	18	p1	p1	NOUN
ejpam-5567	324	19	,	,	PUNCT
ejpam-5567	324	20	p4	p4	ADJ
ejpam-5567	324	21	}	}	PUNCT
ejpam-5567	324	22	,	,	PUNCT
ejpam-5567	324	23	{	{	PUNCT
ejpam-5567	324	24	l1	l1	PROPN
ejpam-5567	324	25	,	,	PUNCT
ejpam-5567	324	26	l4	l4	PROPN
ejpam-5567	324	27	}	}	PUNCT
ejpam-5567	324	28	)	)	PUNCT
ejpam-5567	324	29	,	,	PUNCT
ejpam-5567	324	30	(	(	PUNCT
ejpam-5567	324	31	e4	e4	PROPN
ejpam-5567	324	32	,	,	PUNCT
ejpam-5567	324	33	{	{	PUNCT
ejpam-5567	324	34	s1	s1	NOUN
ejpam-5567	324	35	}	}	PUNCT
ejpam-5567	324	36	,	,	PUNCT
ejpam-5567	324	37	{	{	PUNCT
ejpam-5567	324	38	p2	p2	X
ejpam-5567	324	39	}	}	PUNCT
ejpam-5567	324	40	,	,	PUNCT
ejpam-5567	324	41	{	{	PUNCT
ejpam-5567	324	42	l2	l2	NOUN
ejpam-5567	324	43	}	}	PUNCT
ejpam-5567	324	44	)	)	PUNCT
ejpam-5567	324	45	,	,	PUNCT
ejpam-5567	324	46	(	(	PUNCT
ejpam-5567	324	47	e6	e6	PROPN
ejpam-5567	324	48	,	,	PUNCT
ejpam-5567	324	49	{	{	PUNCT
ejpam-5567	324	50	s1	s1	NOUN
ejpam-5567	324	51	,	,	PUNCT
ejpam-5567	324	52	s2	s2	PROPN
ejpam-5567	324	53	}	}	PUNCT
ejpam-5567	324	54	,	,	PUNCT
ejpam-5567	324	55	{	{	PUNCT
ejpam-5567	324	56	p4	p4	ADJ
ejpam-5567	324	57	}	}	PUNCT
ejpam-5567	324	58	,	,	PUNCT
ejpam-5567	324	59	{	{	PUNCT
ejpam-5567	324	60	l4	l4	PROPN
ejpam-5567	324	61	}	}	PUNCT
ejpam-5567	324	62	)	)	PUNCT
ejpam-5567	324	63	,	,	PUNCT
ejpam-5567	324	64	(	(	PUNCT
ejpam-5567	324	65	e8	e8	PROPN
ejpam-5567	324	66	,	,	PUNCT
ejpam-5567	324	67	{	{	PUNCT
ejpam-5567	324	68	s5	s5	PROPN
ejpam-5567	324	69	}	}	PUNCT
ejpam-5567	324	70	,	,	PUNCT
ejpam-5567	324	71	{	{	PUNCT
ejpam-5567	324	72	p1	p1	NOUN
ejpam-5567	324	73	}	}	PUNCT
ejpam-5567	324	74	,	,	PUNCT
ejpam-5567	324	75	{	{	PUNCT
ejpam-5567	324	76	l1	l1	PROPN
ejpam-5567	324	77	}	}	PUNCT
ejpam-5567	324	78	)	)	PUNCT
ejpam-5567	324	79	}	}	PUNCT
ejpam-5567	324	80	.	.	PUNCT
ejpam-5567	325	1	(	(	PUNCT
ejpam-5567	325	2	f	f	X
ejpam-5567	325	3	,	,	PUNCT
ejpam-5567	325	4	a)˜̃∨(g	a)˜̃∨(g	NOUN
ejpam-5567	325	5	,	,	PUNCT
ejpam-5567	325	6	b	b	NOUN
ejpam-5567	325	7	)	)	PUNCT
ejpam-5567	325	8	=	=	SYM
ejpam-5567	325	9	(	(	PUNCT
ejpam-5567	325	10	o	o	NOUN
ejpam-5567	325	11	,	,	PUNCT
ejpam-5567	325	12	a×b	a×b	NUM
ejpam-5567	325	13	)	)	PUNCT
ejpam-5567	325	14	is	be	AUX
ejpam-5567	325	15	a	a	DET
ejpam-5567	325	16	ternary	ternary	ADJ
ejpam-5567	325	17	soft	soft	ADJ
ejpam-5567	325	18	set	set	NOUN
ejpam-5567	325	19	as	as	SCONJ
ejpam-5567	325	20	follows	follow	VERB
ejpam-5567	325	21	:	:	PUNCT
ejpam-5567	325	22	(	(	PUNCT
ejpam-5567	325	23	h	h	NOUN
ejpam-5567	325	24	,	,	PUNCT
ejpam-5567	325	25	a×b	a×b	PROPN
ejpam-5567	325	26	)	)	PUNCT
ejpam-5567	325	27	=	=	SYM
ejpam-5567	325	28			INTJ
ejpam-5567	325	29	(	(	PUNCT
ejpam-5567	325	30	(	(	PUNCT
ejpam-5567	325	31	e1	e1	NOUN
ejpam-5567	325	32	,	,	PUNCT
ejpam-5567	325	33	e3	e3	NOUN
ejpam-5567	325	34	)	)	PUNCT
ejpam-5567	325	35	,	,	PUNCT
ejpam-5567	325	36	(	(	PUNCT
ejpam-5567	325	37	{	{	PUNCT
ejpam-5567	325	38	s1	s1	NOUN
ejpam-5567	325	39	,	,	PUNCT
ejpam-5567	325	40	s2	s2	PROPN
ejpam-5567	325	41	,	,	PUNCT
ejpam-5567	325	42	s4	s4	PROPN
ejpam-5567	325	43	,	,	PUNCT
ejpam-5567	325	44	s5	s5	PROPN
ejpam-5567	325	45	}	}	PUNCT
ejpam-5567	325	46	,	,	PUNCT
ejpam-5567	325	47	{	{	PUNCT
ejpam-5567	325	48	p1	p1	NOUN
ejpam-5567	325	49	,	,	PUNCT
ejpam-5567	325	50	p2	p2	NOUN
ejpam-5567	325	51	,	,	PUNCT
ejpam-5567	325	52	p4	p4	ADJ
ejpam-5567	325	53	}	}	PUNCT
ejpam-5567	325	54	,	,	PUNCT
ejpam-5567	325	55	{	{	PUNCT
ejpam-5567	325	56	l1	l1	PROPN
ejpam-5567	325	57	,	,	PUNCT
ejpam-5567	325	58	l4	l4	PROPN
ejpam-5567	325	59	}	}	PUNCT
ejpam-5567	325	60	)	)	PUNCT
ejpam-5567	325	61	)	)	PUNCT
ejpam-5567	325	62	,	,	PUNCT
ejpam-5567	325	63	(	(	PUNCT
ejpam-5567	325	64	(	(	PUNCT
ejpam-5567	325	65	e1	e1	PROPN
ejpam-5567	325	66	,	,	PUNCT
ejpam-5567	325	67	e4	e4	PROPN
ejpam-5567	325	68	)	)	PUNCT
ejpam-5567	325	69	,	,	PUNCT
ejpam-5567	325	70	(	(	PUNCT
ejpam-5567	325	71	{	{	PUNCT
ejpam-5567	325	72	s1	s1	NOUN
ejpam-5567	325	73	,	,	PUNCT
ejpam-5567	325	74	s2	s2	PROPN
ejpam-5567	325	75	}	}	PUNCT
ejpam-5567	325	76	,	,	PUNCT
ejpam-5567	325	77	{	{	PUNCT
ejpam-5567	325	78	p2	p2	X
ejpam-5567	325	79	}	}	PUNCT
ejpam-5567	325	80	,	,	PUNCT
ejpam-5567	325	81	{	{	PUNCT
ejpam-5567	325	82	l1	l1	PROPN
ejpam-5567	325	83	,	,	PUNCT
ejpam-5567	325	84	l2	l2	NOUN
ejpam-5567	325	85	}	}	PUNCT
ejpam-5567	325	86	)	)	PUNCT
ejpam-5567	325	87	)	)	PUNCT
ejpam-5567	325	88	,	,	PUNCT
ejpam-5567	325	89	(	(	PUNCT
ejpam-5567	325	90	(	(	PUNCT
ejpam-5567	325	91	e1	e1	NOUN
ejpam-5567	325	92	,	,	PUNCT
ejpam-5567	325	93	e6	e6	NOUN
ejpam-5567	325	94	)	)	PUNCT
ejpam-5567	325	95	,	,	PUNCT
ejpam-5567	325	96	(	(	PUNCT
ejpam-5567	325	97	{	{	PUNCT
ejpam-5567	325	98	s1	s1	NOUN
ejpam-5567	325	99	,	,	PUNCT
ejpam-5567	325	100	s2	s2	PROPN
ejpam-5567	325	101	}	}	PUNCT
ejpam-5567	325	102	,	,	PUNCT
ejpam-5567	325	103	{	{	PUNCT
ejpam-5567	325	104	p2	p2	NOUN
ejpam-5567	325	105	,	,	PUNCT
ejpam-5567	325	106	p4	p4	ADJ
ejpam-5567	325	107	}	}	PUNCT
ejpam-5567	325	108	,	,	PUNCT
ejpam-5567	325	109	{	{	PUNCT
ejpam-5567	325	110	l1	l1	PROPN
ejpam-5567	325	111	,	,	PUNCT
ejpam-5567	325	112	l4	l4	PROPN
ejpam-5567	325	113	}	}	PUNCT
ejpam-5567	325	114	)	)	PUNCT
ejpam-5567	325	115	)	)	PUNCT
ejpam-5567	325	116	,	,	PUNCT
ejpam-5567	325	117	(	(	PUNCT
ejpam-5567	325	118	(	(	PUNCT
ejpam-5567	325	119	e1	e1	PROPN
ejpam-5567	325	120	,	,	PUNCT
ejpam-5567	325	121	e8	e8	PROPN
ejpam-5567	325	122	)	)	PUNCT
ejpam-5567	325	123	,	,	PUNCT
ejpam-5567	325	124	(	(	PUNCT
ejpam-5567	325	125	{	{	PUNCT
ejpam-5567	325	126	s1	s1	NOUN
ejpam-5567	325	127	,	,	PUNCT
ejpam-5567	325	128	s2	s2	PROPN
ejpam-5567	325	129	,	,	PUNCT
ejpam-5567	325	130	s5	s5	PROPN
ejpam-5567	325	131	}	}	PUNCT
ejpam-5567	325	132	,	,	PUNCT
ejpam-5567	325	133	{	{	PUNCT
ejpam-5567	325	134	p1	p1	NOUN
ejpam-5567	325	135	,	,	PUNCT
ejpam-5567	325	136	p2	p2	PROPN
ejpam-5567	325	137	}	}	PUNCT
ejpam-5567	325	138	,	,	PUNCT
ejpam-5567	325	139	{	{	PUNCT
ejpam-5567	325	140	l1	l1	PROPN
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ejpam-5567	325	142	)	)	PUNCT
ejpam-5567	325	143	)	)	PUNCT
ejpam-5567	325	144	,	,	PUNCT
ejpam-5567	325	145	(	(	PUNCT
ejpam-5567	325	146	(	(	PUNCT
ejpam-5567	325	147	e3	e3	NOUN
ejpam-5567	325	148	,	,	PUNCT
ejpam-5567	325	149	e3	e3	NOUN
ejpam-5567	325	150	)	)	PUNCT
ejpam-5567	325	151	,	,	PUNCT
ejpam-5567	325	152	(	(	PUNCT
ejpam-5567	325	153	{	{	PUNCT
ejpam-5567	325	154	s4	s4	PROPN
ejpam-5567	325	155	,	,	PUNCT
ejpam-5567	325	156	s5	s5	PROPN
ejpam-5567	325	157	,	,	PUNCT
ejpam-5567	325	158	s6	s6	PROPN
ejpam-5567	325	159	}	}	PUNCT
ejpam-5567	325	160	,	,	PUNCT
ejpam-5567	325	161	{	{	PUNCT
ejpam-5567	325	162	p1	p1	NOUN
ejpam-5567	325	163	,	,	PUNCT
ejpam-5567	325	164	p3	p3	PROPN
ejpam-5567	325	165	,	,	PUNCT
ejpam-5567	325	166	p4	p4	ADJ
ejpam-5567	325	167	}	}	PUNCT
ejpam-5567	325	168	,	,	PUNCT
ejpam-5567	325	169	{	{	PUNCT
ejpam-5567	325	170	l1	l1	PROPN
ejpam-5567	325	171	,	,	PUNCT
ejpam-5567	325	172	l3	l3	PROPN
ejpam-5567	325	173	,	,	PUNCT
ejpam-5567	325	174	l4	l4	PROPN
ejpam-5567	325	175	}	}	PUNCT
ejpam-5567	325	176	)	)	PUNCT
ejpam-5567	325	177	)	)	PUNCT
ejpam-5567	325	178	,	,	PUNCT
ejpam-5567	325	179	(	(	PUNCT
ejpam-5567	325	180	(	(	PUNCT
ejpam-5567	325	181	e3	e3	X
ejpam-5567	325	182	,	,	PUNCT
ejpam-5567	325	183	e4	e4	PROPN
ejpam-5567	325	184	)	)	PUNCT
ejpam-5567	325	185	,	,	PUNCT
ejpam-5567	325	186	(	(	PUNCT
ejpam-5567	325	187	{	{	PUNCT
ejpam-5567	325	188	s1	s1	NOUN
ejpam-5567	325	189	,	,	PUNCT
ejpam-5567	325	190	s4	s4	PROPN
ejpam-5567	325	191	,	,	PUNCT
ejpam-5567	325	192	s5	s5	PROPN
ejpam-5567	325	193	,	,	PUNCT
ejpam-5567	325	194	s6	s6	PROPN
ejpam-5567	325	195	}	}	PUNCT
ejpam-5567	325	196	,	,	PUNCT
ejpam-5567	325	197	{	{	PUNCT
ejpam-5567	325	198	p1	p1	NOUN
ejpam-5567	325	199	,	,	PUNCT
ejpam-5567	325	200	p2	p2	NOUN
ejpam-5567	325	201	,	,	PUNCT
ejpam-5567	325	202	p3	p3	PROPN
ejpam-5567	325	203	}	}	PUNCT
ejpam-5567	325	204	,	,	PUNCT
ejpam-5567	325	205	{	{	PUNCT
ejpam-5567	325	206	l1	l1	PROPN
ejpam-5567	325	207	,	,	PUNCT
ejpam-5567	325	208	l2	l2	NOUN
ejpam-5567	325	209	,	,	PUNCT
ejpam-5567	325	210	l3	l3	NOUN
ejpam-5567	325	211	}	}	PUNCT
ejpam-5567	325	212	)	)	PUNCT
ejpam-5567	325	213	)	)	PUNCT
ejpam-5567	325	214	,	,	PUNCT
ejpam-5567	325	215	(	(	PUNCT
ejpam-5567	325	216	(	(	PUNCT
ejpam-5567	325	217	e3	e3	NOUN
ejpam-5567	325	218	,	,	PUNCT
ejpam-5567	325	219	e6	e6	NOUN
ejpam-5567	325	220	)	)	PUNCT
ejpam-5567	325	221	,	,	PUNCT
ejpam-5567	325	222	(	(	PUNCT
ejpam-5567	325	223	{	{	PUNCT
ejpam-5567	325	224	s1	s1	NOUN
ejpam-5567	325	225	,	,	PUNCT
ejpam-5567	325	226	s2	s2	PROPN
ejpam-5567	325	227	,	,	PUNCT
ejpam-5567	325	228	s4	s4	PROPN
ejpam-5567	325	229	,	,	PUNCT
ejpam-5567	325	230	s5	s5	PROPN
ejpam-5567	325	231	,	,	PUNCT
ejpam-5567	325	232	s6	s6	PROPN
ejpam-5567	325	233	}	}	PUNCT
ejpam-5567	325	234	,	,	PUNCT
ejpam-5567	325	235	{	{	PUNCT
ejpam-5567	325	236	p1	p1	NOUN
ejpam-5567	325	237	,	,	PUNCT
ejpam-5567	325	238	p3	p3	PROPN
ejpam-5567	325	239	,	,	PUNCT
ejpam-5567	325	240	p4	p4	ADJ
ejpam-5567	325	241	}	}	PUNCT
ejpam-5567	325	242	,	,	PUNCT
ejpam-5567	325	243	{	{	PUNCT
ejpam-5567	325	244	l1	l1	PROPN
ejpam-5567	325	245	,	,	PUNCT
ejpam-5567	325	246	l3	l3	PROPN
ejpam-5567	325	247	,	,	PUNCT
ejpam-5567	325	248	l4	l4	PROPN
ejpam-5567	325	249	}	}	PUNCT
ejpam-5567	325	250	)	)	PUNCT
ejpam-5567	325	251	)	)	PUNCT
ejpam-5567	325	252	,	,	PUNCT
ejpam-5567	325	253	(	(	PUNCT
ejpam-5567	325	254	(	(	PUNCT
ejpam-5567	325	255	e3	e3	X
ejpam-5567	325	256	,	,	PUNCT
ejpam-5567	325	257	e8	e8	PROPN
ejpam-5567	325	258	)	)	PUNCT
ejpam-5567	325	259	,	,	PUNCT
ejpam-5567	325	260	(	(	PUNCT
ejpam-5567	325	261	{	{	PUNCT
ejpam-5567	325	262	s4	s4	PROPN
ejpam-5567	325	263	,	,	PUNCT
ejpam-5567	325	264	s5	s5	PROPN
ejpam-5567	325	265	,	,	PUNCT
ejpam-5567	325	266	s6	s6	PROPN
ejpam-5567	325	267	}	}	PUNCT
ejpam-5567	325	268	,	,	PUNCT
ejpam-5567	325	269	{	{	PUNCT
ejpam-5567	325	270	p1	p1	NOUN
ejpam-5567	325	271	,	,	PUNCT
ejpam-5567	325	272	p3	p3	PROPN
ejpam-5567	325	273	}	}	PUNCT
ejpam-5567	325	274	,	,	PUNCT
ejpam-5567	325	275	{	{	PUNCT
ejpam-5567	325	276	l1	l1	PROPN
ejpam-5567	325	277	,	,	PUNCT
ejpam-5567	325	278	l3	l3	PROPN
ejpam-5567	325	279	}	}	PUNCT
ejpam-5567	325	280	)	)	PUNCT
ejpam-5567	325	281	)	)	PUNCT
ejpam-5567	325	282	,	,	PUNCT
ejpam-5567	325	283	(	(	PUNCT
ejpam-5567	325	284	(	(	PUNCT
ejpam-5567	325	285	e5	e5	INTJ
ejpam-5567	325	286	,	,	PUNCT
ejpam-5567	325	287	e3	e3	PROPN
ejpam-5567	325	288	)	)	PUNCT
ejpam-5567	325	289	,	,	PUNCT
ejpam-5567	325	290	(	(	PUNCT
ejpam-5567	325	291	{	{	PUNCT
ejpam-5567	325	292	s2	s2	PROPN
ejpam-5567	325	293	,	,	PUNCT
ejpam-5567	325	294	s4	s4	PROPN
ejpam-5567	325	295	,	,	PUNCT
ejpam-5567	325	296	s5	s5	PROPN
ejpam-5567	325	297	,	,	PUNCT
ejpam-5567	325	298	s6	s6	PROPN
ejpam-5567	325	299	}	}	PUNCT
ejpam-5567	325	300	,	,	PUNCT
ejpam-5567	325	301	{	{	PUNCT
ejpam-5567	325	302	p1	p1	NOUN
ejpam-5567	325	303	,	,	PUNCT
ejpam-5567	325	304	p2	p2	NOUN
ejpam-5567	325	305	,	,	PUNCT
ejpam-5567	325	306	p4	p4	ADJ
ejpam-5567	325	307	}	}	PUNCT
ejpam-5567	325	308	,	,	PUNCT
ejpam-5567	325	309	{	{	PUNCT
ejpam-5567	325	310	l1	l1	PROPN
ejpam-5567	325	311	,	,	PUNCT
ejpam-5567	325	312	l2	l2	NOUN
ejpam-5567	325	313	,	,	PUNCT
ejpam-5567	325	314	l4	l4	PROPN
ejpam-5567	325	315	}	}	PUNCT
ejpam-5567	325	316	)	)	PUNCT
ejpam-5567	325	317	)	)	PUNCT
ejpam-5567	325	318	,	,	PUNCT
ejpam-5567	325	319	(	(	PUNCT
ejpam-5567	325	320	(	(	PUNCT
ejpam-5567	325	321	e5	e5	PROPN
ejpam-5567	325	322	,	,	PUNCT
ejpam-5567	325	323	e4	e4	PROPN
ejpam-5567	325	324	)	)	PUNCT
ejpam-5567	325	325	,	,	PUNCT
ejpam-5567	325	326	(	(	PUNCT
ejpam-5567	325	327	{	{	PUNCT
ejpam-5567	325	328	s1	s1	NOUN
ejpam-5567	325	329	,	,	PUNCT
ejpam-5567	325	330	s2	s2	PROPN
ejpam-5567	325	331	,	,	PUNCT
ejpam-5567	325	332	s4	s4	PROPN
ejpam-5567	325	333	,	,	PUNCT
ejpam-5567	325	334	s6	s6	PROPN
ejpam-5567	325	335	}	}	PUNCT
ejpam-5567	325	336	,	,	PUNCT
ejpam-5567	325	337	{	{	PUNCT
ejpam-5567	325	338	p2	p2	NOUN
ejpam-5567	325	339	,	,	PUNCT
ejpam-5567	325	340	p4	p4	ADJ
ejpam-5567	325	341	}	}	PUNCT
ejpam-5567	325	342	,	,	PUNCT
ejpam-5567	325	343	{	{	PUNCT
ejpam-5567	325	344	l2	l2	NOUN
ejpam-5567	325	345	,	,	PUNCT
ejpam-5567	325	346	l4	l4	PROPN
ejpam-5567	325	347	}	}	PUNCT
ejpam-5567	325	348	)	)	PUNCT
ejpam-5567	325	349	)	)	PUNCT
ejpam-5567	325	350	,	,	PUNCT
ejpam-5567	325	351	(	(	PUNCT
ejpam-5567	325	352	(	(	PUNCT
ejpam-5567	325	353	e5	e5	PROPN
ejpam-5567	325	354	,	,	PUNCT
ejpam-5567	325	355	e6	e6	PROPN
ejpam-5567	325	356	)	)	PUNCT
ejpam-5567	325	357	,	,	PUNCT
ejpam-5567	325	358	(	(	PUNCT
ejpam-5567	325	359	{	{	PUNCT
ejpam-5567	325	360	s1	s1	NOUN
ejpam-5567	325	361	,	,	PUNCT
ejpam-5567	325	362	s2	s2	PROPN
ejpam-5567	325	363	,	,	PUNCT
ejpam-5567	325	364	s4	s4	PROPN
ejpam-5567	325	365	,	,	PUNCT
ejpam-5567	325	366	s6	s6	PROPN
ejpam-5567	325	367	}	}	PUNCT
ejpam-5567	325	368	,	,	PUNCT
ejpam-5567	325	369	{	{	PUNCT
ejpam-5567	325	370	p2	p2	NOUN
ejpam-5567	325	371	,	,	PUNCT
ejpam-5567	325	372	p4	p4	ADJ
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ejpam-5567	325	374	,	,	PUNCT
ejpam-5567	325	375	{	{	PUNCT
ejpam-5567	325	376	l2	l2	NOUN
ejpam-5567	325	377	,	,	PUNCT
ejpam-5567	325	378	l4	l4	PROPN
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ejpam-5567	325	380	)	)	PUNCT
ejpam-5567	325	381	)	)	PUNCT
ejpam-5567	325	382	,	,	PUNCT
ejpam-5567	325	383	(	(	PUNCT
ejpam-5567	325	384	(	(	PUNCT
ejpam-5567	325	385	e5	e5	PROPN
ejpam-5567	325	386	,	,	PUNCT
ejpam-5567	325	387	e8	e8	PROPN
ejpam-5567	325	388	)	)	PUNCT
ejpam-5567	325	389	,	,	PUNCT
ejpam-5567	325	390	(	(	PUNCT
ejpam-5567	325	391	{	{	PUNCT
ejpam-5567	325	392	s2	s2	PROPN
ejpam-5567	325	393	,	,	PUNCT
ejpam-5567	325	394	s4	s4	PROPN
ejpam-5567	325	395	,	,	PUNCT
ejpam-5567	325	396	s5	s5	PROPN
ejpam-5567	325	397	,	,	PUNCT
ejpam-5567	325	398	s6	s6	PROPN
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ejpam-5567	325	400	,	,	PUNCT
ejpam-5567	325	401	{	{	PUNCT
ejpam-5567	325	402	p1	p1	NOUN
ejpam-5567	325	403	,	,	PUNCT
ejpam-5567	325	404	p2	p2	NOUN
ejpam-5567	325	405	,	,	PUNCT
ejpam-5567	325	406	p4	p4	ADJ
ejpam-5567	325	407	}	}	PUNCT
ejpam-5567	325	408	,	,	PUNCT
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ejpam-5567	325	410	l1	l1	PROPN
ejpam-5567	325	411	,	,	PUNCT
ejpam-5567	325	412	l2	l2	NOUN
ejpam-5567	325	413	,	,	PUNCT
ejpam-5567	325	414	l4	l4	PROPN
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ejpam-5567	325	416	)	)	PUNCT
ejpam-5567	325	417	)	)	PUNCT
ejpam-5567	325	418			NOUN
ejpam-5567	325	419	.	.	PUNCT
ejpam-5567	326	1	proposition	proposition	NOUN
ejpam-5567	326	2	5	5	NUM
ejpam-5567	326	3	.	.	PUNCT
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ejpam-5567	327	2	(	(	PUNCT
ejpam-5567	327	3	f	f	X
ejpam-5567	327	4	,	,	PUNCT
ejpam-5567	327	5	a	a	PRON
ejpam-5567	327	6	)	)	PUNCT
ejpam-5567	327	7	,	,	PUNCT
ejpam-5567	327	8	(	(	PUNCT
ejpam-5567	327	9	g	g	NOUN
ejpam-5567	327	10	,	,	PUNCT
ejpam-5567	327	11	a	a	PRON
ejpam-5567	327	12	)	)	PUNCT
ejpam-5567	327	13	and	and	CCONJ
ejpam-5567	327	14	(	(	PUNCT
ejpam-5567	327	15	h	h	NOUN
ejpam-5567	327	16	,	,	PUNCT
ejpam-5567	327	17	a	a	PRON
ejpam-5567	327	18	)	)	PUNCT
ejpam-5567	327	19	be	be	VERB
ejpam-5567	327	20	three	three	NUM
ejpam-5567	327	21	ternary	ternary	ADJ
ejpam-5567	327	22	soft	soft	ADJ
ejpam-5567	327	23	sets	set	NOUN
ejpam-5567	327	24	.	.	PUNCT
ejpam-5567	328	1	then	then	ADV
ejpam-5567	328	2	we	we	PRON
ejpam-5567	328	3	have	have	VERB
ejpam-5567	328	4	the	the	DET
ejpam-5567	328	5	following	follow	VERB
ejpam-5567	328	6	results	result	NOUN
ejpam-5567	328	7	:	:	PUNCT
ejpam-5567	328	8	(	(	PUNCT
ejpam-5567	328	9	i	i	NOUN
ejpam-5567	328	10	)	)	PUNCT
ejpam-5567	328	11	(	(	PUNCT
ejpam-5567	328	12	(	(	PUNCT
ejpam-5567	328	13	f	f	X
ejpam-5567	328	14	,	,	PUNCT
ejpam-5567	328	15	a)˜̃∨(g	a)˜̃∨(g	NOUN
ejpam-5567	328	16	,	,	PUNCT
ejpam-5567	328	17	a))c	a))c	NOUN
ejpam-5567	328	18	=	=	SYM
ejpam-5567	328	19	(	(	PUNCT
ejpam-5567	328	20	f	f	X
ejpam-5567	328	21	,	,	PUNCT
ejpam-5567	328	22	a)c	a)c	X
ejpam-5567	328	23	˜̃∧(g	˜̃∧(g	NOUN
ejpam-5567	328	24	,	,	PUNCT
ejpam-5567	328	25	a)c	a)c	PUNCT
ejpam-5567	328	26	.	.	PUNCT
ejpam-5567	329	1	(	(	PUNCT
ejpam-5567	329	2	ii	ii	NOUN
ejpam-5567	329	3	)	)	PUNCT
ejpam-5567	329	4	(	(	PUNCT
ejpam-5567	329	5	(	(	PUNCT
ejpam-5567	329	6	f	f	X
ejpam-5567	329	7	,	,	PUNCT
ejpam-5567	329	8	a)˜̃∧(g	a)˜̃∧(g	ADJ
ejpam-5567	329	9	,	,	PUNCT
ejpam-5567	329	10	a))c	a))c	NOUN
ejpam-5567	329	11	=	=	SYM
ejpam-5567	329	12	(	(	PUNCT
ejpam-5567	329	13	f	f	X
ejpam-5567	329	14	,	,	PUNCT
ejpam-5567	329	15	a)c	a)c	X
ejpam-5567	329	16	˜̃∨(g	˜̃∨(g	NOUN
ejpam-5567	329	17	,	,	PUNCT
ejpam-5567	329	18	a)c	a)c	PUNCT
ejpam-5567	329	19	.	.	PUNCT
ejpam-5567	330	1	(	(	PUNCT
ejpam-5567	330	2	iii	iii	X
ejpam-5567	330	3	)	)	PUNCT
ejpam-5567	330	4	(	(	PUNCT
ejpam-5567	330	5	f	f	X
ejpam-5567	330	6	,	,	PUNCT
ejpam-5567	330	7	a	a	PRON
ejpam-5567	330	8	)	)	PUNCT
ejpam-5567	330	9	∨	∨	NOUN
ejpam-5567	330	10	(	(	PUNCT
ejpam-5567	330	11	(	(	PUNCT
ejpam-5567	330	12	g	g	NOUN
ejpam-5567	330	13	,	,	PUNCT
ejpam-5567	330	14	b)˜̃∨(h	b)˜̃∨(h	NOUN
ejpam-5567	330	15	,	,	PUNCT
ejpam-5567	330	16	ć	ć	PROPN
ejpam-5567	330	17	)	)	PUNCT
ejpam-5567	330	18	)	)	PUNCT
ejpam-5567	331	1	=	=	PUNCT
ejpam-5567	332	1	(	(	PUNCT
ejpam-5567	332	2	(	(	PUNCT
ejpam-5567	332	3	f	f	NOUN
ejpam-5567	332	4	,	,	PUNCT
ejpam-5567	332	5	a)˜̃∨(g	a)˜̃∨(g	NOUN
ejpam-5567	332	6	,	,	PUNCT
ejpam-5567	332	7	b))˜̃∨(h	b))˜̃∨(h	NOUN
ejpam-5567	332	8	,	,	PUNCT
ejpam-5567	332	9	ć	ć	PROPN
ejpam-5567	332	10	)	)	PUNCT
ejpam-5567	332	11	.	.	PUNCT
ejpam-5567	333	1	(	(	PUNCT
ejpam-5567	333	2	iv	iv	X
ejpam-5567	333	3	)	)	PUNCT
ejpam-5567	333	4	(	(	PUNCT
ejpam-5567	333	5	f	f	X
ejpam-5567	333	6	,	,	PUNCT
ejpam-5567	333	7	a)˜̃∧((g	a)˜̃∧((g	PROPN
ejpam-5567	333	8	,	,	PUNCT
ejpam-5567	333	9	b)˜̃∧(h	b)˜̃∧(h	NOUN
ejpam-5567	333	10	,	,	PUNCT
ejpam-5567	333	11	ć	ć	PROPN
ejpam-5567	333	12	)	)	PUNCT
ejpam-5567	333	13	)	)	PUNCT
ejpam-5567	334	1	=	=	PUNCT
ejpam-5567	334	2	(	(	PUNCT
ejpam-5567	334	3	(	(	PUNCT
ejpam-5567	334	4	f	f	X
ejpam-5567	334	5	,	,	PUNCT
ejpam-5567	334	6	a)˜̃∧(g	a)˜̃∧(g	ADJ
ejpam-5567	334	7	,	,	PUNCT
ejpam-5567	334	8	b))˜̃∧(h	b))˜̃∧(h	NOUN
ejpam-5567	334	9	,	,	PUNCT
ejpam-5567	334	10	ć	ć	PROPN
ejpam-5567	334	11	)	)	PUNCT
ejpam-5567	334	12	.	.	PUNCT
ejpam-5567	335	1	(	(	PUNCT
ejpam-5567	335	2	v	v	NOUN
ejpam-5567	335	3	)	)	PUNCT
ejpam-5567	335	4	(	(	PUNCT
ejpam-5567	335	5	f	f	X
ejpam-5567	335	6	,	,	PUNCT
ejpam-5567	335	7	a)˜̃∨((g	a)˜̃∨((g	ADJ
ejpam-5567	335	8	,	,	PUNCT
ejpam-5567	335	9	b)˜̃∧(h	b)˜̃∧(h	NOUN
ejpam-5567	335	10	,	,	PUNCT
ejpam-5567	335	11	ć	ć	PROPN
ejpam-5567	335	12	)	)	PUNCT
ejpam-5567	335	13	)	)	PUNCT
ejpam-5567	336	1	=	=	PUNCT
ejpam-5567	336	2	(	(	PUNCT
ejpam-5567	336	3	(	(	PUNCT
ejpam-5567	336	4	f	f	NOUN
ejpam-5567	336	5	,	,	PUNCT
ejpam-5567	336	6	a)˜̃∨(g	a)˜̃∨(g	NOUN
ejpam-5567	336	7	,	,	PUNCT
ejpam-5567	336	8	b))˜̃∧((f	b))˜̃∧((f	NOUN
ejpam-5567	336	9	,	,	PUNCT
ejpam-5567	336	10	a)˜̃∨(h	a)˜̃∨(h	NOUN
ejpam-5567	336	11	,	,	PUNCT
ejpam-5567	336	12	ć	ć	PROPN
ejpam-5567	336	13	)	)	PUNCT
ejpam-5567	336	14	)	)	PUNCT
ejpam-5567	336	15	.	.	PUNCT
ejpam-5567	337	1	(	(	PUNCT
ejpam-5567	337	2	vi	vi	X
ejpam-5567	337	3	)	)	PUNCT
ejpam-5567	337	4	(	(	PUNCT
ejpam-5567	337	5	f	f	X
ejpam-5567	337	6	,	,	PUNCT
ejpam-5567	337	7	a)˜̃∧((g	a)˜̃∧((g	PROPN
ejpam-5567	337	8	,	,	PUNCT
ejpam-5567	337	9	b)˜̃∨(h	b)˜̃∨(h	NOUN
ejpam-5567	337	10	,	,	PUNCT
ejpam-5567	337	11	ć	ć	PROPN
ejpam-5567	337	12	)	)	PUNCT
ejpam-5567	337	13	)	)	PUNCT
ejpam-5567	338	1	=	=	PUNCT
ejpam-5567	339	1	(	(	PUNCT
ejpam-5567	339	2	(	(	PUNCT
ejpam-5567	339	3	f	f	X
ejpam-5567	339	4	,	,	PUNCT
ejpam-5567	339	5	a)˜̃∧(g	a)˜̃∧(g	ADJ
ejpam-5567	339	6	,	,	PUNCT
ejpam-5567	339	7	b))˜̃∨((f	b))˜̃∨((f	NOUN
ejpam-5567	339	8	,	,	PUNCT
ejpam-5567	339	9	a)˜̃∧(h	a)˜̃∧(h	NOUN
ejpam-5567	339	10	,	,	PUNCT
ejpam-5567	339	11	ć	ć	PROPN
ejpam-5567	339	12	)	)	PUNCT
ejpam-5567	339	13	)	)	PUNCT
ejpam-5567	339	14	.	.	PUNCT
ejpam-5567	340	1	proof	proof	NOUN
ejpam-5567	340	2	.	.	PUNCT
ejpam-5567	341	1	it	it	PRON
ejpam-5567	341	2	is	be	AUX
ejpam-5567	341	3	obvious	obvious	ADJ
ejpam-5567	341	4	.	.	PUNCT
ejpam-5567	342	1	m.	m.	NOUN
ejpam-5567	342	2	nawaz	nawaz	PROPN
ejpam-5567	342	3	et	et	PROPN
ejpam-5567	342	4	al	al	PROPN
ejpam-5567	342	5	.	.	PUNCT
ejpam-5567	342	6	/	/	SYM
ejpam-5567	342	7	eur	eur	PROPN
ejpam-5567	342	8	.	.	PUNCT
ejpam-5567	343	1	j.	j.	PROPN
ejpam-5567	343	2	pure	pure	PROPN
ejpam-5567	343	3	appl	appl	PROPN
ejpam-5567	343	4	.	.	PROPN
ejpam-5567	343	5	math	math	PROPN
ejpam-5567	343	6	,	,	PUNCT
ejpam-5567	343	7	18	18	NUM
ejpam-5567	343	8	(	(	PUNCT
ejpam-5567	343	9	1	1	NUM
ejpam-5567	343	10	)	)	PUNCT
ejpam-5567	343	11	(	(	PUNCT
ejpam-5567	343	12	2025	2025	NUM
ejpam-5567	343	13	)	)	PUNCT
ejpam-5567	343	14	,	,	PUNCT
ejpam-5567	343	15	5567	5567	NUM
ejpam-5567	343	16	16	16	NUM
ejpam-5567	343	17	of	of	ADP
ejpam-5567	343	18	45	45	NUM
ejpam-5567	343	19	5	5	NUM
ejpam-5567	343	20	.	.	PUNCT
ejpam-5567	343	21	exploring	explore	VERB
ejpam-5567	343	22	the	the	DET
ejpam-5567	343	23	structure	structure	NOUN
ejpam-5567	343	24	of	of	ADP
ejpam-5567	343	25	ternary	ternary	ADJ
ejpam-5567	343	26	soft	soft	ADJ
ejpam-5567	343	27	topological	topological	ADJ
ejpam-5567	343	28	spaces	space	NOUN
ejpam-5567	343	29	in	in	ADP
ejpam-5567	343	30	this	this	DET
ejpam-5567	343	31	section	section	NOUN
ejpam-5567	343	32	,	,	PUNCT
ejpam-5567	343	33	the	the	DET
ejpam-5567	343	34	most	most	ADV
ejpam-5567	343	35	important	important	ADJ
ejpam-5567	343	36	space	space	NOUN
ejpam-5567	343	37	is	be	AUX
ejpam-5567	343	38	introduced	introduce	VERB
ejpam-5567	343	39	,	,	PUNCT
ejpam-5567	343	40	known	know	VERB
ejpam-5567	343	41	as	as	ADP
ejpam-5567	343	42	the	the	DET
ejpam-5567	343	43	ternary	ternary	ADJ
ejpam-5567	343	44	soft	soft	ADJ
ejpam-5567	343	45	topological	topological	ADJ
ejpam-5567	343	46	space	space	NOUN
ejpam-5567	343	47	.	.	PUNCT
ejpam-5567	344	1	examples	example	NOUN
ejpam-5567	344	2	are	be	AUX
ejpam-5567	344	3	provided	provide	VERB
ejpam-5567	344	4	,	,	PUNCT
ejpam-5567	344	5	and	and	CCONJ
ejpam-5567	344	6	a	a	DET
ejpam-5567	344	7	few	few	ADJ
ejpam-5567	344	8	fundamental	fundamental	ADJ
ejpam-5567	344	9	results	result	NOUN
ejpam-5567	344	10	related	relate	VERB
ejpam-5567	344	11	to	to	ADP
ejpam-5567	344	12	this	this	DET
ejpam-5567	344	13	space	space	NOUN
ejpam-5567	344	14	are	be	AUX
ejpam-5567	344	15	discussed	discuss	VERB
ejpam-5567	344	16	with	with	ADP
ejpam-5567	344	17	respect	respect	NOUN
ejpam-5567	344	18	to	to	ADP
ejpam-5567	344	19	soft	soft	ADJ
ejpam-5567	344	20	points	point	NOUN
ejpam-5567	344	21	.	.	PUNCT
ejpam-5567	345	1	it	it	PRON
ejpam-5567	345	2	is	be	AUX
ejpam-5567	345	3	demonstrated	demonstrate	VERB
ejpam-5567	345	4	that	that	SCONJ
ejpam-5567	345	5	the	the	DET
ejpam-5567	345	6	union	union	NOUN
ejpam-5567	345	7	of	of	ADP
ejpam-5567	345	8	two	two	NUM
ejpam-5567	345	9	ternary	ternary	ADJ
ejpam-5567	345	10	soft	soft	ADJ
ejpam-5567	345	11	topological	topological	ADJ
ejpam-5567	345	12	spaces	space	NOUN
ejpam-5567	345	13	may	may	AUX
ejpam-5567	345	14	not	not	PART
ejpam-5567	345	15	necessarily	necessarily	ADV
ejpam-5567	345	16	be	be	AUX
ejpam-5567	345	17	a	a	DET
ejpam-5567	345	18	ternary	ternary	ADJ
ejpam-5567	345	19	soft	soft	ADJ
ejpam-5567	345	20	topological	topological	ADJ
ejpam-5567	345	21	space	space	NOUN
ejpam-5567	345	22	.	.	PUNCT
ejpam-5567	346	1	however	however	ADV
ejpam-5567	346	2	,	,	PUNCT
ejpam-5567	346	3	the	the	DET
ejpam-5567	346	4	intersection	intersection	NOUN
ejpam-5567	346	5	of	of	ADP
ejpam-5567	346	6	these	these	DET
ejpam-5567	346	7	spaces	space	NOUN
ejpam-5567	346	8	works	work	VERB
ejpam-5567	346	9	seamlessly	seamlessly	ADV
ejpam-5567	346	10	to	to	PART
ejpam-5567	346	11	maintain	maintain	VERB
ejpam-5567	346	12	the	the	DET
ejpam-5567	346	13	properties	property	NOUN
ejpam-5567	346	14	of	of	ADP
ejpam-5567	346	15	a	a	DET
ejpam-5567	346	16	ternary	ternary	ADJ
ejpam-5567	346	17	soft	soft	ADJ
ejpam-5567	346	18	topological	topological	ADJ
ejpam-5567	346	19	space	space	NOUN
ejpam-5567	346	20	.	.	PUNCT
ejpam-5567	347	1	definition	definition	NOUN
ejpam-5567	347	2	25	25	NUM
ejpam-5567	347	3	.	.	PUNCT
ejpam-5567	348	1	let	let	VERB
ejpam-5567	348	2	τ∆	τ∆	NOUN
ejpam-5567	348	3	be	be	AUX
ejpam-5567	348	4	the	the	DET
ejpam-5567	348	5	collection	collection	NOUN
ejpam-5567	348	6	of	of	ADP
ejpam-5567	348	7	ternary	ternary	ADJ
ejpam-5567	348	8	soft	soft	ADJ
ejpam-5567	348	9	sets	set	NOUN
ejpam-5567	348	10	over	over	ADP
ejpam-5567	348	11	u1	u1	NOUN
ejpam-5567	348	12	,	,	PUNCT
ejpam-5567	348	13	u2	u2	NOUN
ejpam-5567	348	14	,	,	PUNCT
ejpam-5567	348	15	u3	u3	NOUN
ejpam-5567	348	16	,	,	PUNCT
ejpam-5567	348	17	then	then	ADV
ejpam-5567	348	18	τ∆	τ∆	NOUN
ejpam-5567	348	19	is	be	AUX
ejpam-5567	348	20	said	say	VERB
ejpam-5567	348	21	to	to	PART
ejpam-5567	348	22	be	be	AUX
ejpam-5567	348	23	a	a	DET
ejpam-5567	348	24	ternary	ternary	ADJ
ejpam-5567	348	25	soft	soft	ADJ
ejpam-5567	348	26	topology	topology	NOUN
ejpam-5567	348	27	(	(	PUNCT
ejpam-5567	348	28	tst	tst	NOUN
ejpam-5567	348	29	)	)	PUNCT
ejpam-5567	348	30	on	on	ADP
ejpam-5567	348	31	u1	u1	NOUN
ejpam-5567	348	32	,	,	PUNCT
ejpam-5567	348	33	u2	u2	NOUN
ejpam-5567	348	34	,	,	PUNCT
ejpam-5567	348	35	u3	u3	NOUN
ejpam-5567	348	36	if	if	SCONJ
ejpam-5567	348	37	:	:	PUNCT
ejpam-5567	348	38	(	(	PUNCT
ejpam-5567	348	39	i	i	NOUN
ejpam-5567	348	40	)	)	PUNCT
ejpam-5567	348	41	˜̃∅	˜̃∅	PROPN
ejpam-5567	348	42	,	,	PUNCT
ejpam-5567	348	43	˜̃x	˜̃x	NOUN
ejpam-5567	348	44	∈	∈	PROPN
ejpam-5567	348	45	τ∆	τ∆	NOUN
ejpam-5567	348	46	,	,	PUNCT
ejpam-5567	348	47	(	(	PUNCT
ejpam-5567	348	48	ii	ii	NOUN
ejpam-5567	348	49	)	)	PUNCT
ejpam-5567	348	50	the	the	DET
ejpam-5567	348	51	union	union	NOUN
ejpam-5567	348	52	of	of	ADP
ejpam-5567	348	53	any	any	DET
ejpam-5567	348	54	number	number	NOUN
ejpam-5567	348	55	of	of	ADP
ejpam-5567	348	56	members	member	NOUN
ejpam-5567	348	57	of	of	ADP
ejpam-5567	348	58	ternary	ternary	ADJ
ejpam-5567	348	59	soft	soft	ADJ
ejpam-5567	348	60	sets	set	NOUN
ejpam-5567	348	61	in	in	ADP
ejpam-5567	348	62	τ∆	τ∆	NOUN
ejpam-5567	348	63	belongs	belong	VERB
ejpam-5567	348	64	to	to	ADP
ejpam-5567	348	65	τ∆	τ∆	NUM
ejpam-5567	348	66	,	,	PUNCT
ejpam-5567	348	67	(	(	PUNCT
ejpam-5567	348	68	iii	iii	X
ejpam-5567	348	69	)	)	PUNCT
ejpam-5567	348	70	the	the	DET
ejpam-5567	348	71	intersection	intersection	NOUN
ejpam-5567	348	72	of	of	ADP
ejpam-5567	348	73	any	any	DET
ejpam-5567	348	74	two	two	NUM
ejpam-5567	348	75	ternary	ternary	ADJ
ejpam-5567	348	76	soft	soft	ADJ
ejpam-5567	348	77	sets	set	NOUN
ejpam-5567	348	78	in	in	ADP
ejpam-5567	348	79	τ∆	τ∆	NOUN
ejpam-5567	348	80	belongs	belong	VERB
ejpam-5567	348	81	to	to	ADP
ejpam-5567	348	82	τ∆.	τ∆.	PROPN
ejpam-5567	348	83	then	then	ADV
ejpam-5567	348	84	(	(	PUNCT
ejpam-5567	348	85	u1	u1	PROPN
ejpam-5567	348	86	,	,	PUNCT
ejpam-5567	348	87	u2	u2	NOUN
ejpam-5567	348	88	,	,	PUNCT
ejpam-5567	348	89	u3	u3	NOUN
ejpam-5567	348	90	,	,	PUNCT
ejpam-5567	348	91	τ∆	τ∆	NOUN
ejpam-5567	348	92	,	,	PUNCT
ejpam-5567	348	93	e	e	NOUN
ejpam-5567	348	94	)	)	PUNCT
ejpam-5567	348	95	is	be	AUX
ejpam-5567	348	96	called	call	VERB
ejpam-5567	348	97	a	a	DET
ejpam-5567	348	98	ternary	ternary	ADJ
ejpam-5567	348	99	soft	soft	ADJ
ejpam-5567	348	100	topological	topological	ADJ
ejpam-5567	348	101	space	space	NOUN
ejpam-5567	348	102	over	over	ADP
ejpam-5567	348	103	u1	u1	PROPN
ejpam-5567	348	104	,	,	PUNCT
ejpam-5567	348	105	u2	u2	NOUN
ejpam-5567	348	106	,	,	PUNCT
ejpam-5567	348	107	u3	u3	PROPN
ejpam-5567	348	108	.	.	PROPN
ejpam-5567	348	109	definition	definition	NOUN
ejpam-5567	348	110	26	26	NUM
ejpam-5567	348	111	.	.	PUNCT
ejpam-5567	349	1	let	let	AUX
ejpam-5567	349	2	(	(	PUNCT
ejpam-5567	349	3	u1	u1	NOUN
ejpam-5567	349	4	,	,	PUNCT
ejpam-5567	349	5	u2	u2	NOUN
ejpam-5567	349	6	,	,	PUNCT
ejpam-5567	349	7	u3	u3	NOUN
ejpam-5567	349	8	,	,	PUNCT
ejpam-5567	349	9	τ∆	τ∆	NOUN
ejpam-5567	349	10	,	,	PUNCT
ejpam-5567	349	11	e	e	X
ejpam-5567	349	12	)	)	PUNCT
ejpam-5567	349	13	be	be	AUX
ejpam-5567	349	14	a	a	DET
ejpam-5567	349	15	ternary	ternary	ADJ
ejpam-5567	349	16	soft	soft	ADJ
ejpam-5567	349	17	topological	topological	ADJ
ejpam-5567	349	18	space	space	NOUN
ejpam-5567	349	19	over	over	ADP
ejpam-5567	349	20	u1	u1	PROPN
ejpam-5567	349	21	,	,	PUNCT
ejpam-5567	349	22	u2	u2	NOUN
ejpam-5567	349	23	,	,	PUNCT
ejpam-5567	349	24	u3	u3	NOUN
ejpam-5567	349	25	.	.	PUNCT
ejpam-5567	350	1	then	then	ADV
ejpam-5567	350	2	the	the	DET
ejpam-5567	350	3	members	member	NOUN
ejpam-5567	350	4	of	of	ADP
ejpam-5567	350	5	τ∆	τ∆	NOUN
ejpam-5567	350	6	are	be	AUX
ejpam-5567	350	7	said	say	VERB
ejpam-5567	350	8	to	to	PART
ejpam-5567	350	9	be	be	AUX
ejpam-5567	350	10	ternary	ternary	ADJ
ejpam-5567	350	11	soft	soft	ADJ
ejpam-5567	350	12	open	open	ADJ
ejpam-5567	350	13	sets	set	NOUN
ejpam-5567	350	14	in	in	ADP
ejpam-5567	350	15	u1	u1	NOUN
ejpam-5567	350	16	,	,	PUNCT
ejpam-5567	350	17	u2	u2	NOUN
ejpam-5567	350	18	,	,	PUNCT
ejpam-5567	350	19	u3	u3	PROPN
ejpam-5567	350	20	.	.	PROPN
ejpam-5567	350	21	definition	definition	NOUN
ejpam-5567	350	22	27	27	NUM
ejpam-5567	350	23	.	.	PUNCT
ejpam-5567	351	1	let	let	AUX
ejpam-5567	351	2	(	(	PUNCT
ejpam-5567	351	3	u1	u1	NOUN
ejpam-5567	351	4	,	,	PUNCT
ejpam-5567	351	5	u2	u2	NOUN
ejpam-5567	351	6	,	,	PUNCT
ejpam-5567	351	7	u3	u3	NOUN
ejpam-5567	351	8	,	,	PUNCT
ejpam-5567	351	9	τ∆	τ∆	NOUN
ejpam-5567	351	10	,	,	PUNCT
ejpam-5567	351	11	e	e	X
ejpam-5567	351	12	)	)	PUNCT
ejpam-5567	351	13	be	be	AUX
ejpam-5567	351	14	a	a	DET
ejpam-5567	351	15	ternary	ternary	ADJ
ejpam-5567	351	16	soft	soft	ADJ
ejpam-5567	351	17	topological	topological	ADJ
ejpam-5567	351	18	space	space	NOUN
ejpam-5567	351	19	over	over	ADP
ejpam-5567	351	20	u1	u1	PROPN
ejpam-5567	351	21	,	,	PUNCT
ejpam-5567	351	22	u2	u2	NOUN
ejpam-5567	351	23	,	,	PUNCT
ejpam-5567	351	24	u3	u3	NOUN
ejpam-5567	351	25	.	.	PUNCT
ejpam-5567	352	1	then	then	ADV
ejpam-5567	352	2	the	the	DET
ejpam-5567	352	3	members	member	NOUN
ejpam-5567	352	4	of	of	ADP
ejpam-5567	352	5	τ∆	τ∆	NOUN
ejpam-5567	352	6	are	be	AUX
ejpam-5567	352	7	said	say	VERB
ejpam-5567	352	8	to	to	PART
ejpam-5567	352	9	be	be	AUX
ejpam-5567	352	10	ternary	ternary	ADJ
ejpam-5567	352	11	soft	soft	ADJ
ejpam-5567	352	12	closed	closed	ADJ
ejpam-5567	352	13	sets	set	NOUN
ejpam-5567	352	14	in	in	ADP
ejpam-5567	352	15	u1	u1	NOUN
ejpam-5567	352	16	,	,	PUNCT
ejpam-5567	352	17	u2	u2	NOUN
ejpam-5567	352	18	,	,	PUNCT
ejpam-5567	352	19	u3	u3	NOUN
ejpam-5567	352	20	if	if	SCONJ
ejpam-5567	352	21	their	their	PRON
ejpam-5567	352	22	relative	relative	ADJ
ejpam-5567	352	23	complements	complement	NOUN
ejpam-5567	352	24	(	(	PUNCT
ejpam-5567	352	25	f	f	X
ejpam-5567	352	26	,	,	PUNCT
ejpam-5567	352	27	e)′	e)′	PRON
ejpam-5567	352	28	belong	belong	VERB
ejpam-5567	352	29	to	to	ADP
ejpam-5567	352	30	τ∆.	τ∆.	PROPN
ejpam-5567	352	31	definition	definition	NOUN
ejpam-5567	352	32	28	28	NUM
ejpam-5567	352	33	.	.	PUNCT
ejpam-5567	353	1	let	let	VERB
ejpam-5567	353	2	u1	u1	NOUN
ejpam-5567	353	3	,	,	PUNCT
ejpam-5567	353	4	u2	u2	PROPN
ejpam-5567	353	5	,	,	PUNCT
ejpam-5567	353	6	u3	u3	NOUN
ejpam-5567	353	7	be	be	AUX
ejpam-5567	353	8	three	three	NUM
ejpam-5567	353	9	initial	initial	ADJ
ejpam-5567	353	10	universe	universe	NOUN
ejpam-5567	353	11	sets	set	NOUN
ejpam-5567	353	12	,	,	PUNCT
ejpam-5567	353	13	e	e	X
ejpam-5567	353	14	be	be	AUX
ejpam-5567	353	15	a	a	DET
ejpam-5567	353	16	set	set	NOUN
ejpam-5567	353	17	of	of	ADP
ejpam-5567	353	18	parameters	parameter	NOUN
ejpam-5567	353	19	,	,	PUNCT
ejpam-5567	353	20	and	and	CCONJ
ejpam-5567	353	21	τ∆	τ∆	NOUN
ejpam-5567	353	22	=	=	NOUN
ejpam-5567	353	23	{	{	PUNCT
ejpam-5567	353	24	˜̃∅	˜̃∅	NOUN
ejpam-5567	353	25	,	,	PUNCT
ejpam-5567	353	26	˜̃x	˜̃x	NUM
ejpam-5567	353	27	}	}	PUNCT
ejpam-5567	353	28	.	.	PUNCT
ejpam-5567	354	1	then	then	ADV
ejpam-5567	354	2	τ∆	τ∆	PRON
ejpam-5567	354	3	is	be	AUX
ejpam-5567	354	4	called	call	VERB
ejpam-5567	354	5	the	the	DET
ejpam-5567	354	6	ternary	ternary	ADJ
ejpam-5567	354	7	soft	soft	ADJ
ejpam-5567	354	8	indiscrete	indiscrete	ADJ
ejpam-5567	354	9	topology	topology	NOUN
ejpam-5567	354	10	on	on	ADP
ejpam-5567	354	11	u1	u1	NOUN
ejpam-5567	354	12	,	,	PUNCT
ejpam-5567	354	13	u2	u2	NOUN
ejpam-5567	354	14	,	,	PUNCT
ejpam-5567	354	15	u3	u3	NOUN
ejpam-5567	354	16	,	,	PUNCT
ejpam-5567	354	17	and	and	CCONJ
ejpam-5567	354	18	(	(	PUNCT
ejpam-5567	354	19	u1	u1	NOUN
ejpam-5567	354	20	,	,	PUNCT
ejpam-5567	354	21	u2	u2	NOUN
ejpam-5567	354	22	,	,	PUNCT
ejpam-5567	354	23	u3	u3	NOUN
ejpam-5567	354	24	,	,	PUNCT
ejpam-5567	354	25	τ∆	τ∆	NOUN
ejpam-5567	354	26	,	,	PUNCT
ejpam-5567	354	27	e	e	X
ejpam-5567	354	28	)	)	PUNCT
ejpam-5567	354	29	is	be	AUX
ejpam-5567	354	30	said	say	VERB
ejpam-5567	354	31	to	to	PART
ejpam-5567	354	32	be	be	AUX
ejpam-5567	354	33	a	a	DET
ejpam-5567	354	34	ternary	ternary	ADJ
ejpam-5567	354	35	soft	soft	ADJ
ejpam-5567	354	36	indiscrete	indiscrete	ADJ
ejpam-5567	354	37	space	space	NOUN
ejpam-5567	354	38	over	over	ADP
ejpam-5567	354	39	u1	u1	PROPN
ejpam-5567	354	40	,	,	PUNCT
ejpam-5567	354	41	u2	u2	NOUN
ejpam-5567	354	42	,	,	PUNCT
ejpam-5567	354	43	u3	u3	PROPN
ejpam-5567	354	44	.	.	PROPN
ejpam-5567	354	45	definition	definition	NOUN
ejpam-5567	354	46	29	29	NUM
ejpam-5567	354	47	.	.	PUNCT
ejpam-5567	355	1	let	let	VERB
ejpam-5567	355	2	u1	u1	NOUN
ejpam-5567	355	3	,	,	PUNCT
ejpam-5567	355	4	u2	u2	PROPN
ejpam-5567	355	5	,	,	PUNCT
ejpam-5567	355	6	u3	u3	NOUN
ejpam-5567	355	7	be	be	AUX
ejpam-5567	355	8	three	three	NUM
ejpam-5567	355	9	initial	initial	ADJ
ejpam-5567	355	10	universe	universe	NOUN
ejpam-5567	355	11	sets	set	NOUN
ejpam-5567	355	12	,	,	PUNCT
ejpam-5567	355	13	e	e	X
ejpam-5567	355	14	be	be	AUX
ejpam-5567	355	15	a	a	DET
ejpam-5567	355	16	set	set	NOUN
ejpam-5567	355	17	of	of	ADP
ejpam-5567	355	18	parameters	parameter	NOUN
ejpam-5567	355	19	,	,	PUNCT
ejpam-5567	355	20	and	and	CCONJ
ejpam-5567	355	21	let	let	VERB
ejpam-5567	355	22	τ∆	τ∆	NOUN
ejpam-5567	355	23	be	be	AUX
ejpam-5567	355	24	the	the	DET
ejpam-5567	355	25	collection	collection	NOUN
ejpam-5567	355	26	of	of	ADP
ejpam-5567	355	27	all	all	DET
ejpam-5567	355	28	ternary	ternary	ADJ
ejpam-5567	355	29	soft	soft	ADJ
ejpam-5567	355	30	sets	set	NOUN
ejpam-5567	355	31	which	which	PRON
ejpam-5567	355	32	can	can	AUX
ejpam-5567	355	33	be	be	AUX
ejpam-5567	355	34	defined	define	VERB
ejpam-5567	355	35	over	over	ADP
ejpam-5567	355	36	u1	u1	NOUN
ejpam-5567	355	37	,	,	PUNCT
ejpam-5567	355	38	u2	u2	NOUN
ejpam-5567	355	39	,	,	PUNCT
ejpam-5567	355	40	u3	u3	NOUN
ejpam-5567	355	41	.	.	PUNCT
ejpam-5567	356	1	the	the	DET
ejpam-5567	356	2	τ∆	τ∆	NOUN
ejpam-5567	356	3	is	be	AUX
ejpam-5567	356	4	called	call	VERB
ejpam-5567	356	5	the	the	DET
ejpam-5567	356	6	ternary	ternary	ADJ
ejpam-5567	356	7	soft	soft	ADJ
ejpam-5567	356	8	discrete	discrete	ADJ
ejpam-5567	356	9	topology	topology	NOUN
ejpam-5567	356	10	on	on	ADP
ejpam-5567	356	11	u1	u1	NOUN
ejpam-5567	356	12	,	,	PUNCT
ejpam-5567	356	13	u2	u2	NOUN
ejpam-5567	356	14	,	,	PUNCT
ejpam-5567	356	15	u3	u3	NOUN
ejpam-5567	356	16	,	,	PUNCT
ejpam-5567	356	17	and	and	CCONJ
ejpam-5567	356	18	(	(	PUNCT
ejpam-5567	356	19	u1	u1	NOUN
ejpam-5567	356	20	,	,	PUNCT
ejpam-5567	356	21	u2	u2	NOUN
ejpam-5567	356	22	,	,	PUNCT
ejpam-5567	356	23	u3	u3	NOUN
ejpam-5567	356	24	,	,	PUNCT
ejpam-5567	356	25	τ∆	τ∆	NOUN
ejpam-5567	356	26	,	,	PUNCT
ejpam-5567	356	27	e	e	X
ejpam-5567	356	28	)	)	PUNCT
ejpam-5567	356	29	is	be	AUX
ejpam-5567	356	30	said	say	VERB
ejpam-5567	356	31	to	to	PART
ejpam-5567	356	32	be	be	AUX
ejpam-5567	356	33	a	a	DET
ejpam-5567	356	34	ternary	ternary	ADJ
ejpam-5567	356	35	soft	soft	ADJ
ejpam-5567	356	36	discrete	discrete	ADJ
ejpam-5567	356	37	space	space	NOUN
ejpam-5567	356	38	over	over	ADP
ejpam-5567	356	39	u1	u1	PROPN
ejpam-5567	356	40	,	,	PUNCT
ejpam-5567	356	41	u2	u2	NOUN
ejpam-5567	356	42	,	,	PUNCT
ejpam-5567	356	43	u3	u3	PROPN
ejpam-5567	356	44	.	.	PROPN
ejpam-5567	356	45	example	example	NOUN
ejpam-5567	356	46	12	12	NUM
ejpam-5567	356	47	.	.	PUNCT
ejpam-5567	357	1	consider	consider	VERB
ejpam-5567	357	2	the	the	DET
ejpam-5567	357	3	following	follow	VERB
ejpam-5567	357	4	sets	set	NOUN
ejpam-5567	357	5	:	:	PUNCT
ejpam-5567	357	6	u1	u1	NOUN
ejpam-5567	357	7	=	=	SYM
ejpam-5567	357	8	{	{	PUNCT
ejpam-5567	357	9	a1	a1	PROPN
ejpam-5567	357	10	,	,	PUNCT
ejpam-5567	357	11	a2	a2	PROPN
ejpam-5567	357	12	,	,	PUNCT
ejpam-5567	357	13	a3	a3	NOUN
ejpam-5567	357	14	,	,	PUNCT
ejpam-5567	357	15	a4	a4	NOUN
ejpam-5567	357	16	,	,	PUNCT
ejpam-5567	357	17	a5	a5	PROPN
ejpam-5567	357	18	}	}	PUNCT
ejpam-5567	357	19	,	,	PUNCT
ejpam-5567	357	20	u2	u2	NOUN
ejpam-5567	357	21	=	=	SYM
ejpam-5567	357	22	{	{	PUNCT
ejpam-5567	357	23	d1	d1	PROPN
ejpam-5567	357	24	,	,	PUNCT
ejpam-5567	357	25	d2	d2	PROPN
ejpam-5567	357	26	,	,	PUNCT
ejpam-5567	357	27	d3	d3	PROPN
ejpam-5567	357	28	,	,	PUNCT
ejpam-5567	357	29	d4	d4	PROPN
ejpam-5567	357	30	}	}	PUNCT
ejpam-5567	357	31	,	,	PUNCT
ejpam-5567	357	32	u3	u3	NOUN
ejpam-5567	357	33	=	=	SYM
ejpam-5567	357	34	{	{	PUNCT
ejpam-5567	357	35	ć1	ć1	NOUN
ejpam-5567	357	36	,	,	PUNCT
ejpam-5567	357	37	ć2	ć2	PROPN
ejpam-5567	357	38	,	,	PUNCT
ejpam-5567	357	39	ć3	ć3	NOUN
ejpam-5567	357	40	,	,	PUNCT
ejpam-5567	357	41	ć4	ć4	NOUN
ejpam-5567	357	42	}	}	PUNCT
ejpam-5567	357	43	,	,	PUNCT
ejpam-5567	357	44	e	e	X
ejpam-5567	357	45	=	=	PRON
ejpam-5567	357	46	{	{	PUNCT
ejpam-5567	357	47	e1	e1	PROPN
ejpam-5567	357	48	,	,	PUNCT
ejpam-5567	357	49	e2	e2	PROPN
ejpam-5567	357	50	,	,	PUNCT
ejpam-5567	357	51	e3	e3	NOUN
ejpam-5567	357	52	,	,	PUNCT
ejpam-5567	357	53	e4	e4	PROPN
ejpam-5567	357	54	,	,	PUNCT
ejpam-5567	357	55	e5	e5	PROPN
ejpam-5567	357	56	}	}	PUNCT
ejpam-5567	357	57	.	.	PUNCT
ejpam-5567	358	1	let	let	VERB
ejpam-5567	358	2	a	a	DET
ejpam-5567	358	3	=	=	SYM
ejpam-5567	358	4	{	{	PUNCT
ejpam-5567	358	5	e1	e1	PROPN
ejpam-5567	358	6	,	,	PUNCT
ejpam-5567	358	7	e2	e2	PROPN
ejpam-5567	358	8	,	,	PUNCT
ejpam-5567	358	9	e4	e4	PROPN
ejpam-5567	358	10	}	}	PUNCT
ejpam-5567	358	11	.	.	PUNCT
ejpam-5567	359	1	then	then	ADV
ejpam-5567	359	2	τ∆	τ∆	NOUN
ejpam-5567	359	3	=	=	NOUN
ejpam-5567	359	4	{	{	PUNCT
ejpam-5567	359	5	˜̃∅	˜̃∅	NOUN
ejpam-5567	359	6	,	,	PUNCT
ejpam-5567	359	7	˜̃x	˜̃x	NUM
ejpam-5567	359	8	,	,	PUNCT
ejpam-5567	359	9	(	(	PUNCT
ejpam-5567	359	10	f1	f1	NOUN
ejpam-5567	359	11	,	,	PUNCT
ejpam-5567	359	12	a	a	PRON
ejpam-5567	359	13	)	)	PUNCT
ejpam-5567	359	14	,	,	PUNCT
ejpam-5567	359	15	(	(	PUNCT
ejpam-5567	359	16	f2	f2	PROPN
ejpam-5567	359	17	,	,	PUNCT
ejpam-5567	359	18	a	a	NOUN
ejpam-5567	359	19	)	)	PUNCT
ejpam-5567	359	20	,	,	PUNCT
ejpam-5567	359	21	(	(	PUNCT
ejpam-5567	359	22	f3	f3	ADJ
ejpam-5567	359	23	,	,	PUNCT
ejpam-5567	359	24	a	a	PRON
ejpam-5567	359	25	)	)	PUNCT
ejpam-5567	359	26	,	,	PUNCT
ejpam-5567	359	27	(	(	PUNCT
ejpam-5567	359	28	f4	f4	PROPN
ejpam-5567	359	29	,	,	PUNCT
ejpam-5567	359	30	a	a	NOUN
ejpam-5567	359	31	)	)	PUNCT
ejpam-5567	359	32	}	}	PUNCT
ejpam-5567	359	33	,	,	PUNCT
ejpam-5567	359	34	where	where	SCONJ
ejpam-5567	359	35	(	(	PUNCT
ejpam-5567	359	36	f1	f1	NOUN
ejpam-5567	359	37	,	,	PUNCT
ejpam-5567	359	38	a	a	PRON
ejpam-5567	359	39	)	)	PUNCT
ejpam-5567	359	40	,	,	PUNCT
ejpam-5567	359	41	(	(	PUNCT
ejpam-5567	359	42	f2	f2	PROPN
ejpam-5567	359	43	,	,	PUNCT
ejpam-5567	359	44	a	a	NOUN
ejpam-5567	359	45	)	)	PUNCT
ejpam-5567	359	46	,	,	PUNCT
ejpam-5567	359	47	(	(	PUNCT
ejpam-5567	359	48	f3	f3	ADJ
ejpam-5567	359	49	,	,	PUNCT
ejpam-5567	359	50	a	a	PRON
ejpam-5567	359	51	)	)	PUNCT
ejpam-5567	359	52	,	,	PUNCT
ejpam-5567	359	53	(	(	PUNCT
ejpam-5567	359	54	f4	f4	PROPN
ejpam-5567	359	55	,	,	PUNCT
ejpam-5567	359	56	a	a	PRON
ejpam-5567	359	57	)	)	PUNCT
ejpam-5567	359	58	are	be	AUX
ejpam-5567	359	59	ternary	ternary	ADJ
ejpam-5567	359	60	soft	soft	ADJ
ejpam-5567	359	61	sets	set	NOUN
ejpam-5567	359	62	defined	define	VERB
ejpam-5567	359	63	as	as	ADP
ejpam-5567	359	64	follows	follow	VERB
ejpam-5567	359	65	:	:	PUNCT
ejpam-5567	359	66	(	(	PUNCT
ejpam-5567	359	67	f1	f1	NOUN
ejpam-5567	359	68	,	,	PUNCT
ejpam-5567	359	69	a	a	PRON
ejpam-5567	359	70	)	)	PUNCT
ejpam-5567	359	71	=	=	SYM
ejpam-5567	359	72	{	{	PUNCT
ejpam-5567	359	73	(	(	PUNCT
ejpam-5567	359	74	e1	e1	PROPN
ejpam-5567	359	75	,	,	PUNCT
ejpam-5567	359	76	(	(	PUNCT
ejpam-5567	359	77	{	{	PUNCT
ejpam-5567	359	78	a1	a1	NOUN
ejpam-5567	359	79	}	}	PUNCT
ejpam-5567	359	80	,	,	PUNCT
ejpam-5567	359	81	{	{	PUNCT
ejpam-5567	359	82	d1	d1	NOUN
ejpam-5567	359	83	}	}	PUNCT
ejpam-5567	359	84	,	,	PUNCT
ejpam-5567	359	85	{	{	PUNCT
ejpam-5567	359	86	ć1	ć1	NOUN
ejpam-5567	359	87	}	}	PUNCT
ejpam-5567	359	88	)	)	PUNCT
ejpam-5567	359	89	)	)	PUNCT
ejpam-5567	359	90	,	,	PUNCT
ejpam-5567	359	91	(	(	PUNCT
ejpam-5567	359	92	e2	e2	PROPN
ejpam-5567	359	93	,	,	PUNCT
ejpam-5567	359	94	(	(	PUNCT
ejpam-5567	359	95	{	{	PUNCT
ejpam-5567	359	96	a2	a2	PROPN
ejpam-5567	359	97	}	}	PUNCT
ejpam-5567	359	98	,	,	PUNCT
ejpam-5567	359	99	{	{	PUNCT
ejpam-5567	359	100	d2	d2	PROPN
ejpam-5567	359	101	}	}	PUNCT
ejpam-5567	359	102	,	,	PUNCT
ejpam-5567	359	103	{	{	PUNCT
ejpam-5567	359	104	ć2	ć2	NOUN
ejpam-5567	359	105	}	}	PUNCT
ejpam-5567	359	106	)	)	PUNCT
ejpam-5567	359	107	)	)	PUNCT
ejpam-5567	359	108	,	,	PUNCT
ejpam-5567	359	109	(	(	PUNCT
ejpam-5567	359	110	e4	e4	PROPN
ejpam-5567	359	111	,	,	PUNCT
ejpam-5567	359	112	(	(	PUNCT
ejpam-5567	359	113	{	{	PUNCT
ejpam-5567	359	114	a3	a3	NOUN
ejpam-5567	359	115	}	}	PUNCT
ejpam-5567	359	116	,	,	PUNCT
ejpam-5567	359	117	{	{	PUNCT
ejpam-5567	359	118	d3	d3	PROPN
ejpam-5567	359	119	}	}	PUNCT
ejpam-5567	359	120	,	,	PUNCT
ejpam-5567	359	121	{	{	PUNCT
ejpam-5567	359	122	ć3	ć3	NOUN
ejpam-5567	359	123	}	}	PUNCT
ejpam-5567	359	124	)	)	PUNCT
ejpam-5567	359	125	)	)	PUNCT
ejpam-5567	359	126	}	}	PUNCT
ejpam-5567	359	127	.	.	PUNCT
ejpam-5567	360	1	m.	m.	NOUN
ejpam-5567	360	2	nawaz	nawaz	PROPN
ejpam-5567	360	3	et	et	PROPN
ejpam-5567	360	4	al	al	PROPN
ejpam-5567	360	5	.	.	PUNCT
ejpam-5567	360	6	/	/	SYM
ejpam-5567	360	7	eur	eur	PROPN
ejpam-5567	360	8	.	.	PUNCT
ejpam-5567	361	1	j.	j.	PROPN
ejpam-5567	361	2	pure	pure	PROPN
ejpam-5567	361	3	appl	appl	PROPN
ejpam-5567	361	4	.	.	PROPN
ejpam-5567	361	5	math	math	PROPN
ejpam-5567	361	6	,	,	PUNCT
ejpam-5567	361	7	18	18	NUM
ejpam-5567	361	8	(	(	PUNCT
ejpam-5567	361	9	1	1	NUM
ejpam-5567	361	10	)	)	PUNCT
ejpam-5567	361	11	(	(	PUNCT
ejpam-5567	361	12	2025	2025	NUM
ejpam-5567	361	13	)	)	PUNCT
ejpam-5567	361	14	,	,	PUNCT
ejpam-5567	361	15	5567	5567	NUM
ejpam-5567	361	16	17	17	NUM
ejpam-5567	361	17	of	of	ADP
ejpam-5567	361	18	45	45	NUM
ejpam-5567	361	19	(	(	PUNCT
ejpam-5567	361	20	f2	f2	PROPN
ejpam-5567	361	21	,	,	PUNCT
ejpam-5567	361	22	a	a	PRON
ejpam-5567	361	23	)	)	PUNCT
ejpam-5567	361	24	=	=	SYM
ejpam-5567	361	25	{	{	PUNCT
ejpam-5567	361	26	(	(	PUNCT
ejpam-5567	361	27	e1	e1	PROPN
ejpam-5567	361	28	,	,	PUNCT
ejpam-5567	361	29	(	(	PUNCT
ejpam-5567	361	30	{	{	PUNCT
ejpam-5567	361	31	a4	a4	NOUN
ejpam-5567	361	32	}	}	PUNCT
ejpam-5567	361	33	,	,	PUNCT
ejpam-5567	361	34	{	{	PUNCT
ejpam-5567	361	35	d4	d4	PROPN
ejpam-5567	361	36	}	}	PUNCT
ejpam-5567	361	37	,	,	PUNCT
ejpam-5567	361	38	{	{	PUNCT
ejpam-5567	361	39	ć4	ć4	NOUN
ejpam-5567	361	40	}	}	PUNCT
ejpam-5567	361	41	)	)	PUNCT
ejpam-5567	361	42	)	)	PUNCT
ejpam-5567	361	43	,	,	PUNCT
ejpam-5567	361	44	(	(	PUNCT
ejpam-5567	361	45	e2	e2	PROPN
ejpam-5567	361	46	,	,	PUNCT
ejpam-5567	361	47	(	(	PUNCT
ejpam-5567	361	48	{	{	PUNCT
ejpam-5567	361	49	a3	a3	NOUN
ejpam-5567	361	50	}	}	PUNCT
ejpam-5567	361	51	,	,	PUNCT
ejpam-5567	361	52	{	{	PUNCT
ejpam-5567	361	53	d1	d1	NOUN
ejpam-5567	361	54	}	}	PUNCT
ejpam-5567	361	55	,	,	PUNCT
ejpam-5567	361	56	{	{	PUNCT
ejpam-5567	361	57	ć1	ć1	NOUN
ejpam-5567	361	58	}	}	PUNCT
ejpam-5567	361	59	)	)	PUNCT
ejpam-5567	361	60	)	)	PUNCT
ejpam-5567	361	61	,	,	PUNCT
ejpam-5567	361	62	(	(	PUNCT
ejpam-5567	361	63	e4	e4	PROPN
ejpam-5567	361	64	,	,	PUNCT
ejpam-5567	361	65	(	(	PUNCT
ejpam-5567	361	66	{	{	PUNCT
ejpam-5567	361	67	a3	a3	NOUN
ejpam-5567	361	68	,	,	PUNCT
ejpam-5567	361	69	a5	a5	PROPN
ejpam-5567	361	70	}	}	PUNCT
ejpam-5567	361	71	,	,	PUNCT
ejpam-5567	361	72	{	{	PUNCT
ejpam-5567	361	73	d1	d1	NOUN
ejpam-5567	361	74	,	,	PUNCT
ejpam-5567	361	75	d2	d2	PROPN
ejpam-5567	361	76	}	}	PUNCT
ejpam-5567	361	77	,	,	PUNCT
ejpam-5567	361	78	{	{	PUNCT
ejpam-5567	361	79	ć1	ć1	NOUN
ejpam-5567	361	80	,	,	PUNCT
ejpam-5567	361	81	ć2	ć2	PROPN
ejpam-5567	361	82	}	}	PUNCT
ejpam-5567	361	83	)	)	PUNCT
ejpam-5567	361	84	)	)	PUNCT
ejpam-5567	361	85	}	}	PUNCT
ejpam-5567	361	86	.	.	PUNCT
ejpam-5567	362	1	(	(	PUNCT
ejpam-5567	362	2	f3	f3	ADJ
ejpam-5567	362	3	,	,	PUNCT
ejpam-5567	362	4	a	a	PRON
ejpam-5567	362	5	)	)	PUNCT
ejpam-5567	362	6	=	=	PUNCT
ejpam-5567	362	7			PUNCT
ejpam-5567	362	8	{	{	PUNCT
ejpam-5567	362	9	(	(	PUNCT
ejpam-5567	362	10	e1	e1	PROPN
ejpam-5567	362	11	,	,	PUNCT
ejpam-5567	362	12	(	(	PUNCT
ejpam-5567	362	13	{	{	PUNCT
ejpam-5567	362	14	a1	a1	NOUN
ejpam-5567	362	15	,	,	PUNCT
ejpam-5567	362	16	a4	a4	NOUN
ejpam-5567	362	17	}	}	PUNCT
ejpam-5567	362	18	,	,	PUNCT
ejpam-5567	362	19	{	{	PUNCT
ejpam-5567	362	20	d1	d1	NOUN
ejpam-5567	362	21	,	,	PUNCT
ejpam-5567	362	22	d4	d4	PROPN
ejpam-5567	362	23	}	}	PUNCT
ejpam-5567	362	24	,	,	PUNCT
ejpam-5567	362	25	{	{	PUNCT
ejpam-5567	362	26	ć1	ć1	NOUN
ejpam-5567	362	27	,	,	PUNCT
ejpam-5567	362	28	ć4	ć4	NOUN
ejpam-5567	362	29	}	}	PUNCT
ejpam-5567	362	30	)	)	PUNCT
ejpam-5567	362	31	)	)	PUNCT
ejpam-5567	362	32	,	,	PUNCT
ejpam-5567	362	33	(	(	PUNCT
ejpam-5567	362	34	e2	e2	PROPN
ejpam-5567	362	35	,	,	PUNCT
ejpam-5567	362	36	(	(	PUNCT
ejpam-5567	362	37	{	{	PUNCT
ejpam-5567	362	38	a2	a2	PROPN
ejpam-5567	362	39	,	,	PUNCT
ejpam-5567	362	40	a3	a3	NOUN
ejpam-5567	362	41	}	}	PUNCT
ejpam-5567	362	42	,	,	PUNCT
ejpam-5567	362	43	{	{	PUNCT
ejpam-5567	362	44	d1	d1	NOUN
ejpam-5567	362	45	,	,	PUNCT
ejpam-5567	362	46	d2	d2	PROPN
ejpam-5567	362	47	}	}	PUNCT
ejpam-5567	362	48	,	,	PUNCT
ejpam-5567	362	49	{	{	PUNCT
ejpam-5567	362	50	ć1	ć1	NOUN
ejpam-5567	362	51	,	,	PUNCT
ejpam-5567	362	52	ć2	ć2	PROPN
ejpam-5567	362	53	}	}	PUNCT
ejpam-5567	362	54	)	)	PUNCT
ejpam-5567	362	55	)	)	PUNCT
ejpam-5567	362	56	,	,	PUNCT
ejpam-5567	362	57	(	(	PUNCT
ejpam-5567	362	58	e4	e4	PROPN
ejpam-5567	362	59	,	,	PUNCT
ejpam-5567	362	60	(	(	PUNCT
ejpam-5567	362	61	{	{	PUNCT
ejpam-5567	362	62	a3	a3	NOUN
ejpam-5567	362	63	,	,	PUNCT
ejpam-5567	362	64	a5	a5	PROPN
ejpam-5567	362	65	}	}	PUNCT
ejpam-5567	362	66	,	,	PUNCT
ejpam-5567	362	67	{	{	PUNCT
ejpam-5567	362	68	d1	d1	NOUN
ejpam-5567	362	69	,	,	PUNCT
ejpam-5567	362	70	d2	d2	PROPN
ejpam-5567	362	71	,	,	PUNCT
ejpam-5567	362	72	d3	d3	PROPN
ejpam-5567	362	73	}	}	PUNCT
ejpam-5567	362	74	,	,	PUNCT
ejpam-5567	362	75	{	{	PUNCT
ejpam-5567	362	76	ć1	ć1	NOUN
ejpam-5567	362	77	,	,	PUNCT
ejpam-5567	362	78	ć2	ć2	PROPN
ejpam-5567	362	79	,	,	PUNCT
ejpam-5567	362	80	ć3	ć3	NOUN
ejpam-5567	362	81	}	}	PUNCT
ejpam-5567	362	82	)	)	PUNCT
ejpam-5567	362	83	)	)	PUNCT
ejpam-5567	362	84	}	}	PUNCT
ejpam-5567	362	85	.	.	PUNCT
ejpam-5567	363	1			NOUN
ejpam-5567	363	2	(	(	PUNCT
ejpam-5567	363	3	f4	f4	PROPN
ejpam-5567	363	4	,	,	PUNCT
ejpam-5567	363	5	a	a	PRON
ejpam-5567	363	6	)	)	PUNCT
ejpam-5567	363	7	=	=	SYM
ejpam-5567	363	8	{	{	PUNCT
ejpam-5567	363	9	(	(	PUNCT
ejpam-5567	363	10	e4	e4	PROPN
ejpam-5567	363	11	,	,	PUNCT
ejpam-5567	363	12	(	(	PUNCT
ejpam-5567	363	13	{	{	PUNCT
ejpam-5567	363	14	a3	a3	NOUN
ejpam-5567	363	15	}	}	PUNCT
ejpam-5567	363	16	,	,	PUNCT
ejpam-5567	363	17	{	{	PUNCT
ejpam-5567	363	18	d3	d3	PROPN
ejpam-5567	363	19	}	}	PUNCT
ejpam-5567	363	20	,	,	PUNCT
ejpam-5567	363	21	{	{	PUNCT
ejpam-5567	363	22	ć3	ć3	NOUN
ejpam-5567	363	23	}	}	PUNCT
ejpam-5567	363	24	)	)	PUNCT
ejpam-5567	363	25	)	)	PUNCT
ejpam-5567	363	26	}	}	PUNCT
ejpam-5567	363	27	.	.	PUNCT
ejpam-5567	364	1	clearly	clearly	ADV
ejpam-5567	364	2	,	,	PUNCT
ejpam-5567	364	3	τ∆	τ∆	NOUN
ejpam-5567	364	4	is	be	AUX
ejpam-5567	364	5	a	a	DET
ejpam-5567	364	6	ternary	ternary	ADJ
ejpam-5567	364	7	soft	soft	ADJ
ejpam-5567	364	8	topology	topology	NOUN
ejpam-5567	364	9	.	.	PUNCT
ejpam-5567	365	1	then	then	ADV
ejpam-5567	365	2	automatically	automatically	ADV
ejpam-5567	365	3	,	,	PUNCT
ejpam-5567	365	4	˜̃∅	˜̃∅	ADJ
ejpam-5567	365	5	,	,	PUNCT
ejpam-5567	365	6	˜̃x	˜̃x	NUM
ejpam-5567	365	7	,	,	PUNCT
ejpam-5567	365	8	(	(	PUNCT
ejpam-5567	365	9	f1	f1	NOUN
ejpam-5567	365	10	,	,	PUNCT
ejpam-5567	365	11	a	a	PRON
ejpam-5567	365	12	)	)	PUNCT
ejpam-5567	365	13	,	,	PUNCT
ejpam-5567	365	14	(	(	PUNCT
ejpam-5567	365	15	f2	f2	PROPN
ejpam-5567	365	16	,	,	PUNCT
ejpam-5567	365	17	a	a	NOUN
ejpam-5567	365	18	)	)	PUNCT
ejpam-5567	365	19	,	,	PUNCT
ejpam-5567	365	20	(	(	PUNCT
ejpam-5567	365	21	f3	f3	ADJ
ejpam-5567	365	22	,	,	PUNCT
ejpam-5567	365	23	a	a	PRON
ejpam-5567	365	24	)	)	PUNCT
ejpam-5567	365	25	,	,	PUNCT
ejpam-5567	365	26	(	(	PUNCT
ejpam-5567	365	27	f4	f4	PROPN
ejpam-5567	365	28	,	,	PUNCT
ejpam-5567	365	29	a	a	PRON
ejpam-5567	365	30	)	)	PUNCT
ejpam-5567	365	31	are	be	AUX
ejpam-5567	365	32	ternary	ternary	ADJ
ejpam-5567	365	33	soft	soft	ADJ
ejpam-5567	365	34	open	open	ADJ
ejpam-5567	365	35	sets	set	NOUN
ejpam-5567	365	36	.	.	PUNCT
ejpam-5567	366	1	similarly	similarly	ADV
ejpam-5567	366	2	,	,	PUNCT
ejpam-5567	366	3	˜̃∅	˜̃∅	ADJ
ejpam-5567	366	4	,	,	PUNCT
ejpam-5567	366	5	˜̃x	˜̃x	NUM
ejpam-5567	366	6	,	,	PUNCT
ejpam-5567	366	7	(	(	PUNCT
ejpam-5567	366	8	f1	f1	NOUN
ejpam-5567	366	9	,	,	PUNCT
ejpam-5567	366	10	a)′	a)′	PROPN
ejpam-5567	366	11	,	,	PUNCT
ejpam-5567	366	12	(	(	PUNCT
ejpam-5567	366	13	f2	f2	PROPN
ejpam-5567	366	14	,	,	PUNCT
ejpam-5567	366	15	a)′	a)′	PROPN
ejpam-5567	366	16	,	,	PUNCT
ejpam-5567	366	17	(	(	PUNCT
ejpam-5567	366	18	f3	f3	ADJ
ejpam-5567	366	19	,	,	PUNCT
ejpam-5567	366	20	a)′	a)′	PROPN
ejpam-5567	366	21	,	,	PUNCT
ejpam-5567	366	22	(	(	PUNCT
ejpam-5567	366	23	f4	f4	PROPN
ejpam-5567	366	24	,	,	PUNCT
ejpam-5567	366	25	a)′	a)′	PROPN
ejpam-5567	366	26	are	be	AUX
ejpam-5567	366	27	ternary	ternary	ADJ
ejpam-5567	366	28	soft	soft	ADJ
ejpam-5567	366	29	closed	closed	ADJ
ejpam-5567	366	30	sets	set	NOUN
ejpam-5567	366	31	.	.	PUNCT
ejpam-5567	367	1	remark	remark	NOUN
ejpam-5567	367	2	1	1	NUM
ejpam-5567	367	3	.	.	PUNCT
ejpam-5567	368	1	any	any	DET
ejpam-5567	368	2	collection	collection	NOUN
ejpam-5567	368	3	of	of	ADP
ejpam-5567	368	4	ternary	ternary	ADJ
ejpam-5567	368	5	soft	soft	ADJ
ejpam-5567	368	6	sets	set	NOUN
ejpam-5567	368	7	does	do	AUX
ejpam-5567	368	8	not	not	PART
ejpam-5567	368	9	necessarily	necessarily	ADV
ejpam-5567	368	10	form	form	VERB
ejpam-5567	368	11	a	a	DET
ejpam-5567	368	12	ternary	ternary	ADJ
ejpam-5567	368	13	soft	soft	ADJ
ejpam-5567	368	14	topology	topology	NOUN
ejpam-5567	368	15	.	.	PUNCT
ejpam-5567	369	1	the	the	DET
ejpam-5567	369	2	following	follow	VERB
ejpam-5567	369	3	example	example	NOUN
ejpam-5567	369	4	illustrates	illustrate	VERB
ejpam-5567	369	5	this	this	PRON
ejpam-5567	369	6	.	.	PUNCT
ejpam-5567	370	1	example	example	NOUN
ejpam-5567	370	2	13	13	NUM
ejpam-5567	370	3	.	.	PUNCT
ejpam-5567	371	1	following	follow	VERB
ejpam-5567	371	2	is	be	AUX
ejpam-5567	371	3	the	the	DET
ejpam-5567	371	4	ternary	ternary	ADJ
ejpam-5567	371	5	soft	soft	ADJ
ejpam-5567	371	6	sets	set	NOUN
ejpam-5567	371	7	collection	collection	NOUN
ejpam-5567	371	8	of	of	ADP
ejpam-5567	371	9	sets	set	NOUN
ejpam-5567	371	10	:	:	PUNCT
ejpam-5567	371	11	t∆	t∆	PROPN
ejpam-5567	371	12	=	=	SYM
ejpam-5567	371	13			PROPN
ejpam-5567	371	14	˜̃∅	˜̃∅	NOUN
ejpam-5567	371	15	,	,	PUNCT
ejpam-5567	371	16	˜̃	˜̃	NOUN
ejpam-5567	371	17	x	x	NOUN
ejpam-5567	371	18	,	,	PUNCT
ejpam-5567	371	19	{	{	PUNCT
ejpam-5567	371	20	(	(	PUNCT
ejpam-5567	371	21	e1	e1	PROPN
ejpam-5567	371	22	,	,	PUNCT
ejpam-5567	371	23	(	(	PUNCT
ejpam-5567	371	24	{	{	PUNCT
ejpam-5567	371	25	a2	a2	PROPN
ejpam-5567	371	26	,	,	PUNCT
ejpam-5567	371	27	a4	a4	PROPN
ejpam-5567	371	28	}	}	PUNCT
ejpam-5567	371	29	,	,	PUNCT
ejpam-5567	371	30	{	{	PUNCT
ejpam-5567	371	31	d2	d2	PROPN
ejpam-5567	371	32	,	,	PUNCT
ejpam-5567	371	33	d4	d4	PROPN
ejpam-5567	371	34	}	}	PUNCT
ejpam-5567	371	35	,	,	PUNCT
ejpam-5567	371	36	{	{	PUNCT
ejpam-5567	371	37	ć2	ć2	NOUN
ejpam-5567	371	38	,	,	PUNCT
ejpam-5567	371	39	ć4	ć4	NOUN
ejpam-5567	371	40	}	}	PUNCT
ejpam-5567	371	41	)	)	PUNCT
ejpam-5567	371	42	)	)	PUNCT
ejpam-5567	371	43	,	,	PUNCT
ejpam-5567	371	44	(	(	PUNCT
ejpam-5567	371	45	e2	e2	PROPN
ejpam-5567	371	46	,	,	PUNCT
ejpam-5567	371	47	(	(	PUNCT
ejpam-5567	371	48	{	{	PUNCT
ejpam-5567	371	49	a3	a3	NOUN
ejpam-5567	371	50	}	}	PUNCT
ejpam-5567	371	51	,	,	PUNCT
ejpam-5567	371	52	{	{	PUNCT
ejpam-5567	371	53	d4	d4	PROPN
ejpam-5567	371	54	}	}	PUNCT
ejpam-5567	371	55	,	,	PUNCT
ejpam-5567	371	56	{	{	PUNCT
ejpam-5567	371	57	ć4	ć4	NOUN
ejpam-5567	371	58	}	}	PUNCT
ejpam-5567	371	59	)	)	PUNCT
ejpam-5567	371	60	)	)	PUNCT
ejpam-5567	371	61	}	}	PUNCT
ejpam-5567	371	62	,	,	PUNCT
ejpam-5567	371	63	{	{	PUNCT
ejpam-5567	371	64	(	(	PUNCT
ejpam-5567	371	65	e1	e1	NOUN
ejpam-5567	371	66	,	,	PUNCT
ejpam-5567	371	67	(	(	PUNCT
ejpam-5567	371	68	{	{	PUNCT
ejpam-5567	371	69	a2	a2	PROPN
ejpam-5567	371	70	,	,	PUNCT
ejpam-5567	371	71	a3	a3	NOUN
ejpam-5567	371	72	}	}	PUNCT
ejpam-5567	371	73	,	,	PUNCT
ejpam-5567	371	74	{	{	PUNCT
ejpam-5567	371	75	d1	d1	NOUN
ejpam-5567	371	76	,	,	PUNCT
ejpam-5567	371	77	d4	d4	PROPN
ejpam-5567	371	78	}	}	PUNCT
ejpam-5567	371	79	,	,	PUNCT
ejpam-5567	371	80	{	{	PUNCT
ejpam-5567	371	81	ć1	ć1	NOUN
ejpam-5567	371	82	,	,	PUNCT
ejpam-5567	371	83	ć4	ć4	NOUN
ejpam-5567	371	84	}	}	PUNCT
ejpam-5567	371	85	)	)	PUNCT
ejpam-5567	371	86	)	)	PUNCT
ejpam-5567	371	87	,	,	PUNCT
ejpam-5567	371	88	(	(	PUNCT
ejpam-5567	371	89	e2	e2	PROPN
ejpam-5567	371	90	,	,	PUNCT
ejpam-5567	371	91	(	(	PUNCT
ejpam-5567	371	92	{	{	PUNCT
ejpam-5567	371	93	a2	a2	PROPN
ejpam-5567	371	94	}	}	PUNCT
ejpam-5567	371	95	,	,	PUNCT
ejpam-5567	371	96	{	{	PUNCT
ejpam-5567	371	97	d1	d1	NOUN
ejpam-5567	371	98	}	}	PUNCT
ejpam-5567	371	99	,	,	PUNCT
ejpam-5567	371	100	{	{	PUNCT
ejpam-5567	371	101	ć1	ć1	NOUN
ejpam-5567	371	102	}	}	PUNCT
ejpam-5567	371	103	)	)	PUNCT
ejpam-5567	371	104	)	)	PUNCT
ejpam-5567	371	105	,	,	PUNCT
ejpam-5567	371	106	(	(	PUNCT
ejpam-5567	371	107	e5	e5	INTJ
ejpam-5567	371	108	,	,	PUNCT
ejpam-5567	371	109	(	(	PUNCT
ejpam-5567	371	110	{	{	PUNCT
ejpam-5567	371	111	a1	a1	NOUN
ejpam-5567	371	112	,	,	PUNCT
ejpam-5567	371	113	a3	a3	NOUN
ejpam-5567	371	114	}	}	PUNCT
ejpam-5567	371	115	,	,	PUNCT
ejpam-5567	371	116	{	{	PUNCT
ejpam-5567	371	117	d2	d2	PROPN
ejpam-5567	371	118	}	}	PUNCT
ejpam-5567	371	119	,	,	PUNCT
ejpam-5567	371	120	{	{	PUNCT
ejpam-5567	371	121	ć2	ć2	NOUN
ejpam-5567	371	122	}	}	PUNCT
ejpam-5567	371	123	)	)	PUNCT
ejpam-5567	371	124	)	)	PUNCT
ejpam-5567	371	125	}	}	PUNCT
ejpam-5567	371	126	,	,	PUNCT
ejpam-5567	371	127	{	{	PUNCT
ejpam-5567	371	128	(	(	PUNCT
ejpam-5567	371	129	e1	e1	PROPN
ejpam-5567	371	130	,	,	PUNCT
ejpam-5567	371	131	(	(	PUNCT
ejpam-5567	371	132	{	{	PUNCT
ejpam-5567	371	133	a1	a1	NOUN
ejpam-5567	371	134	,	,	PUNCT
ejpam-5567	371	135	a3	a3	NOUN
ejpam-5567	371	136	}	}	PUNCT
ejpam-5567	371	137	,	,	PUNCT
ejpam-5567	371	138	{	{	PUNCT
ejpam-5567	371	139	d2	d2	PROPN
ejpam-5567	371	140	,	,	PUNCT
ejpam-5567	371	141	d3	d3	PROPN
ejpam-5567	371	142	}	}	PUNCT
ejpam-5567	371	143	,	,	PUNCT
ejpam-5567	371	144	{	{	PUNCT
ejpam-5567	371	145	ć2	ć2	NOUN
ejpam-5567	371	146	,	,	PUNCT
ejpam-5567	371	147	ć3	ć3	NOUN
ejpam-5567	371	148	}	}	PUNCT
ejpam-5567	371	149	)	)	PUNCT
ejpam-5567	371	150	)	)	PUNCT
ejpam-5567	371	151	,	,	PUNCT
ejpam-5567	371	152	(	(	PUNCT
ejpam-5567	371	153	e4	e4	PROPN
ejpam-5567	371	154	,	,	PUNCT
ejpam-5567	371	155	(	(	PUNCT
ejpam-5567	371	156	{	{	PUNCT
ejpam-5567	371	157	a1	a1	NOUN
ejpam-5567	371	158	}	}	PUNCT
ejpam-5567	371	159	,	,	PUNCT
ejpam-5567	371	160	{	{	PUNCT
ejpam-5567	371	161	d1	d1	NOUN
ejpam-5567	371	162	,	,	PUNCT
ejpam-5567	371	163	d2	d2	PROPN
ejpam-5567	371	164	}	}	PUNCT
ejpam-5567	371	165	,	,	PUNCT
ejpam-5567	371	166	{	{	PUNCT
ejpam-5567	371	167	ć1	ć1	NOUN
ejpam-5567	371	168	,	,	PUNCT
ejpam-5567	371	169	ć2	ć2	PROPN
ejpam-5567	371	170	}	}	PUNCT
ejpam-5567	371	171	)	)	PUNCT
ejpam-5567	371	172	)	)	PUNCT
ejpam-5567	371	173	}	}	PUNCT
ejpam-5567	372	1			NOUN
ejpam-5567	372	2	we	we	PRON
ejpam-5567	372	3	see	see	VERB
ejpam-5567	372	4	that	that	SCONJ
ejpam-5567	372	5	this	this	PRON
ejpam-5567	372	6	is	be	AUX
ejpam-5567	372	7	not	not	PART
ejpam-5567	372	8	a	a	DET
ejpam-5567	372	9	ternary	ternary	ADJ
ejpam-5567	372	10	soft	soft	ADJ
ejpam-5567	372	11	topology	topology	NOUN
ejpam-5567	372	12	.	.	PUNCT
ejpam-5567	373	1	remark	remark	NOUN
ejpam-5567	373	2	2	2	NUM
ejpam-5567	373	3	.	.	PUNCT
ejpam-5567	374	1	let	let	VERB
ejpam-5567	374	2	(	(	PUNCT
ejpam-5567	374	3	u1	u1	NOUN
ejpam-5567	374	4	,	,	PUNCT
ejpam-5567	374	5	u2	u2	NOUN
ejpam-5567	374	6	,	,	PUNCT
ejpam-5567	374	7	u3	u3	NOUN
ejpam-5567	374	8	,	,	PUNCT
ejpam-5567	374	9	τ∆	τ∆	NOUN
ejpam-5567	374	10	,	,	PUNCT
ejpam-5567	374	11	e	e	NOUN
ejpam-5567	374	12	)	)	PUNCT
ejpam-5567	374	13	and	and	CCONJ
ejpam-5567	374	14	(	(	PUNCT
ejpam-5567	374	15	u1	u1	PROPN
ejpam-5567	374	16	,	,	PUNCT
ejpam-5567	374	17	u2	u2	NOUN
ejpam-5567	374	18	,	,	PUNCT
ejpam-5567	374	19	u3	u3	NOUN
ejpam-5567	374	20	,	,	PUNCT
ejpam-5567	374	21	τ∆′	τ∆′	PUNCT
ejpam-5567	374	22	,	,	PUNCT
ejpam-5567	374	23	e	e	AUX
ejpam-5567	374	24	)	)	PUNCT
ejpam-5567	374	25	be	be	AUX
ejpam-5567	374	26	ternary	ternary	ADJ
ejpam-5567	374	27	soft	soft	ADJ
ejpam-5567	374	28	topological	topological	ADJ
ejpam-5567	374	29	spaces	space	NOUN
ejpam-5567	374	30	over	over	ADP
ejpam-5567	374	31	the	the	DET
ejpam-5567	374	32	same	same	ADJ
ejpam-5567	374	33	universal	universal	ADJ
ejpam-5567	374	34	sets	set	NOUN
ejpam-5567	374	35	u1	u1	NOUN
ejpam-5567	374	36	,	,	PUNCT
ejpam-5567	374	37	u2	u2	NOUN
ejpam-5567	374	38	,	,	PUNCT
ejpam-5567	374	39	u3	u3	NOUN
ejpam-5567	374	40	.	.	PUNCT
ejpam-5567	375	1	then	then	ADV
ejpam-5567	375	2	(	(	PUNCT
ejpam-5567	375	3	u1	u1	PROPN
ejpam-5567	375	4	,	,	PUNCT
ejpam-5567	375	5	u2	u2	NOUN
ejpam-5567	375	6	,	,	PUNCT
ejpam-5567	375	7	u3	u3	NOUN
ejpam-5567	375	8	,	,	PUNCT
ejpam-5567	375	9	τ∆	τ∆	NOUN
ejpam-5567	375	10	˜̃∪τ∆′	˜̃∪τ∆′	NOUN
ejpam-5567	375	11	,	,	PUNCT
ejpam-5567	375	12	e	e	NOUN
ejpam-5567	375	13	)	)	PUNCT
ejpam-5567	375	14	may	may	AUX
ejpam-5567	375	15	not	not	PART
ejpam-5567	375	16	be	be	AUX
ejpam-5567	375	17	a	a	DET
ejpam-5567	375	18	ternary	ternary	ADJ
ejpam-5567	375	19	soft	soft	ADJ
ejpam-5567	375	20	topological	topological	ADJ
ejpam-5567	375	21	space	space	NOUN
ejpam-5567	375	22	over	over	ADP
ejpam-5567	375	23	(	(	PUNCT
ejpam-5567	375	24	u1	u1	NOUN
ejpam-5567	375	25	,	,	PUNCT
ejpam-5567	375	26	u2	u2	NOUN
ejpam-5567	375	27	,	,	PUNCT
ejpam-5567	375	28	u3	u3	NOUN
ejpam-5567	375	29	)	)	PUNCT
ejpam-5567	375	30	.	.	PUNCT
ejpam-5567	375	31	example	example	NOUN
ejpam-5567	376	1	14	14	NUM
ejpam-5567	376	2	.	.	PUNCT
ejpam-5567	377	1	let	let	VERB
ejpam-5567	377	2	τ∆	τ∆	NOUN
ejpam-5567	377	3	be	be	AUX
ejpam-5567	377	4	given	give	VERB
ejpam-5567	377	5	by	by	ADP
ejpam-5567	377	6	τ∆	τ∆	NOUN
ejpam-5567	377	7	=	=	PUNCT
ejpam-5567	377	8			X
ejpam-5567	377	9	˜̃∅	˜̃∅	NOUN
ejpam-5567	377	10	,	,	PUNCT
ejpam-5567	377	11	˜̃	˜̃	NOUN
ejpam-5567	377	12	x	x	NOUN
ejpam-5567	377	13	,	,	PUNCT
ejpam-5567	377	14	{	{	PUNCT
ejpam-5567	377	15	(	(	PUNCT
ejpam-5567	377	16	e1	e1	PROPN
ejpam-5567	377	17	,	,	PUNCT
ejpam-5567	377	18	(	(	PUNCT
ejpam-5567	377	19	{	{	PUNCT
ejpam-5567	377	20	a1	a1	NOUN
ejpam-5567	377	21	}	}	PUNCT
ejpam-5567	377	22	,	,	PUNCT
ejpam-5567	377	23	{	{	PUNCT
ejpam-5567	377	24	d1	d1	NOUN
ejpam-5567	377	25	}	}	PUNCT
ejpam-5567	377	26	,	,	PUNCT
ejpam-5567	377	27	{	{	PUNCT
ejpam-5567	377	28	ć1	ć1	NOUN
ejpam-5567	377	29	}	}	PUNCT
ejpam-5567	377	30	)	)	PUNCT
ejpam-5567	377	31	)	)	PUNCT
ejpam-5567	377	32	,	,	PUNCT
ejpam-5567	377	33	(	(	PUNCT
ejpam-5567	377	34	e2	e2	PROPN
ejpam-5567	377	35	,	,	PUNCT
ejpam-5567	377	36	(	(	PUNCT
ejpam-5567	377	37	{	{	PUNCT
ejpam-5567	377	38	a2	a2	PROPN
ejpam-5567	377	39	}	}	PUNCT
ejpam-5567	377	40	,	,	PUNCT
ejpam-5567	377	41	{	{	PUNCT
ejpam-5567	377	42	d2	d2	PROPN
ejpam-5567	377	43	}	}	PUNCT
ejpam-5567	377	44	,	,	PUNCT
ejpam-5567	377	45	{	{	PUNCT
ejpam-5567	377	46	c2	c2	PROPN
ejpam-5567	377	47	}	}	PUNCT
ejpam-5567	377	48	)	)	PUNCT
ejpam-5567	377	49	)	)	PUNCT
ejpam-5567	377	50	,	,	PUNCT
ejpam-5567	377	51	(	(	PUNCT
ejpam-5567	377	52	e4	e4	PROPN
ejpam-5567	377	53	,	,	PUNCT
ejpam-5567	377	54	(	(	PUNCT
ejpam-5567	377	55	{	{	PUNCT
ejpam-5567	377	56	a3	a3	NOUN
ejpam-5567	377	57	}	}	PUNCT
ejpam-5567	377	58	,	,	PUNCT
ejpam-5567	377	59	{	{	PUNCT
ejpam-5567	377	60	d3	d3	PROPN
ejpam-5567	377	61	}	}	PUNCT
ejpam-5567	377	62	,	,	PUNCT
ejpam-5567	377	63	{	{	PUNCT
ejpam-5567	377	64	ć3	ć3	NOUN
ejpam-5567	377	65	}	}	PUNCT
ejpam-5567	377	66	)	)	PUNCT
ejpam-5567	377	67	)	)	PUNCT
ejpam-5567	377	68	}	}	PUNCT
ejpam-5567	377	69	,	,	PUNCT
ejpam-5567	377	70	{	{	PUNCT
ejpam-5567	377	71	(	(	PUNCT
ejpam-5567	377	72	e1	e1	PROPN
ejpam-5567	377	73	,	,	PUNCT
ejpam-5567	377	74	(	(	PUNCT
ejpam-5567	377	75	{	{	PUNCT
ejpam-5567	377	76	a4	a4	NOUN
ejpam-5567	377	77	}	}	PUNCT
ejpam-5567	377	78	,	,	PUNCT
ejpam-5567	377	79	{	{	PUNCT
ejpam-5567	377	80	d4	d4	PROPN
ejpam-5567	377	81	}	}	PUNCT
ejpam-5567	377	82	,	,	PUNCT
ejpam-5567	377	83	{	{	PUNCT
ejpam-5567	377	84	ć4	ć4	NOUN
ejpam-5567	377	85	}	}	PUNCT
ejpam-5567	377	86	)	)	PUNCT
ejpam-5567	377	87	)	)	PUNCT
ejpam-5567	377	88	,	,	PUNCT
ejpam-5567	377	89	(	(	PUNCT
ejpam-5567	377	90	e2	e2	PROPN
ejpam-5567	377	91	,	,	PUNCT
ejpam-5567	377	92	(	(	PUNCT
ejpam-5567	377	93	{	{	PUNCT
ejpam-5567	377	94	a3	a3	NOUN
ejpam-5567	377	95	}	}	PUNCT
ejpam-5567	377	96	,	,	PUNCT
ejpam-5567	377	97	{	{	PUNCT
ejpam-5567	377	98	d1	d1	NOUN
ejpam-5567	377	99	}	}	PUNCT
ejpam-5567	377	100	,	,	PUNCT
ejpam-5567	377	101	{	{	PUNCT
ejpam-5567	377	102	ć1	ć1	NOUN
ejpam-5567	377	103	}	}	PUNCT
ejpam-5567	377	104	)	)	PUNCT
ejpam-5567	377	105	)	)	PUNCT
ejpam-5567	377	106	,	,	PUNCT
ejpam-5567	377	107	(	(	PUNCT
ejpam-5567	377	108	e3	e3	NOUN
ejpam-5567	377	109	,	,	PUNCT
ejpam-5567	377	110	(	(	PUNCT
ejpam-5567	377	111	{	{	PUNCT
ejpam-5567	377	112	a1	a1	NOUN
ejpam-5567	377	113	,	,	PUNCT
ejpam-5567	377	114	a2	a2	PROPN
ejpam-5567	377	115	}	}	PUNCT
ejpam-5567	377	116	,	,	PUNCT
ejpam-5567	377	117	{	{	PUNCT
ejpam-5567	377	118	d3	d3	PROPN
ejpam-5567	377	119	}	}	PUNCT
ejpam-5567	377	120	,	,	PUNCT
ejpam-5567	377	121	{	{	PUNCT
ejpam-5567	377	122	ć3	ć3	NOUN
ejpam-5567	377	123	}	}	PUNCT
ejpam-5567	377	124	)	)	PUNCT
ejpam-5567	377	125	)	)	PUNCT
ejpam-5567	377	126	,	,	PUNCT
ejpam-5567	377	127	(	(	PUNCT
ejpam-5567	377	128	e4	e4	PROPN
ejpam-5567	377	129	,	,	PUNCT
ejpam-5567	377	130	(	(	PUNCT
ejpam-5567	377	131	{	{	PUNCT
ejpam-5567	377	132	a3	a3	NOUN
ejpam-5567	377	133	,	,	PUNCT
ejpam-5567	377	134	a5	a5	PROPN
ejpam-5567	377	135	}	}	PUNCT
ejpam-5567	377	136	,	,	PUNCT
ejpam-5567	377	137	{	{	PUNCT
ejpam-5567	377	138	d1	d1	NOUN
ejpam-5567	377	139	,	,	PUNCT
ejpam-5567	377	140	d2	d2	PROPN
ejpam-5567	377	141	}	}	PUNCT
ejpam-5567	377	142	,	,	PUNCT
ejpam-5567	377	143	{	{	PUNCT
ejpam-5567	377	144	ć1	ć1	NOUN
ejpam-5567	377	145	,	,	PUNCT
ejpam-5567	377	146	ć2	ć2	PROPN
ejpam-5567	377	147	}	}	PUNCT
ejpam-5567	377	148	)	)	PUNCT
ejpam-5567	377	149	)	)	PUNCT
ejpam-5567	377	150	}	}	PUNCT
ejpam-5567	377	151	,	,	PUNCT
ejpam-5567	377	152	{	{	PUNCT
ejpam-5567	377	153	(	(	PUNCT
ejpam-5567	377	154	e1	e1	PROPN
ejpam-5567	377	155	,	,	PUNCT
ejpam-5567	377	156	(	(	PUNCT
ejpam-5567	377	157	{	{	PUNCT
ejpam-5567	377	158	a1	a1	NOUN
ejpam-5567	377	159	,	,	PUNCT
ejpam-5567	377	160	a4	a4	NOUN
ejpam-5567	377	161	}	}	PUNCT
ejpam-5567	377	162	,	,	PUNCT
ejpam-5567	377	163	{	{	PUNCT
ejpam-5567	377	164	d1	d1	NOUN
ejpam-5567	377	165	,	,	PUNCT
ejpam-5567	377	166	d4	d4	PROPN
ejpam-5567	377	167	}	}	PUNCT
ejpam-5567	377	168	,	,	PUNCT
ejpam-5567	377	169	{	{	PUNCT
ejpam-5567	377	170	ć1	ć1	NOUN
ejpam-5567	377	171	,	,	PUNCT
ejpam-5567	377	172	ć4	ć4	NOUN
ejpam-5567	377	173	}	}	PUNCT
ejpam-5567	377	174	)	)	PUNCT
ejpam-5567	377	175	)	)	PUNCT
ejpam-5567	377	176	,	,	PUNCT
ejpam-5567	377	177	(	(	PUNCT
ejpam-5567	377	178	e2	e2	PROPN
ejpam-5567	377	179	,	,	PUNCT
ejpam-5567	377	180	(	(	PUNCT
ejpam-5567	377	181	{	{	PUNCT
ejpam-5567	377	182	a2	a2	PROPN
ejpam-5567	377	183	,	,	PUNCT
ejpam-5567	377	184	a3	a3	NOUN
ejpam-5567	377	185	}	}	PUNCT
ejpam-5567	377	186	,	,	PUNCT
ejpam-5567	377	187	{	{	PUNCT
ejpam-5567	377	188	d1	d1	NOUN
ejpam-5567	377	189	,	,	PUNCT
ejpam-5567	377	190	d2	d2	PROPN
ejpam-5567	377	191	}	}	PUNCT
ejpam-5567	377	192	,	,	PUNCT
ejpam-5567	377	193	{	{	PUNCT
ejpam-5567	377	194	ć1	ć1	NOUN
ejpam-5567	377	195	,	,	PUNCT
ejpam-5567	377	196	ć2	ć2	PROPN
ejpam-5567	377	197	}	}	PUNCT
ejpam-5567	377	198	)	)	PUNCT
ejpam-5567	377	199	)	)	PUNCT
ejpam-5567	377	200	,	,	PUNCT
ejpam-5567	377	201	(	(	PUNCT
ejpam-5567	377	202	e3	e3	NOUN
ejpam-5567	377	203	,	,	PUNCT
ejpam-5567	377	204	(	(	PUNCT
ejpam-5567	377	205	{	{	PUNCT
ejpam-5567	377	206	a1	a1	NOUN
ejpam-5567	377	207	,	,	PUNCT
ejpam-5567	377	208	a2	a2	PROPN
ejpam-5567	377	209	}	}	PUNCT
ejpam-5567	377	210	,	,	PUNCT
ejpam-5567	377	211	{	{	PUNCT
ejpam-5567	377	212	d3	d3	PROPN
ejpam-5567	377	213	}	}	PUNCT
ejpam-5567	377	214	,	,	PUNCT
ejpam-5567	377	215	{	{	PUNCT
ejpam-5567	377	216	c3	c3	NOUN
ejpam-5567	377	217	}	}	PUNCT
ejpam-5567	377	218	)	)	PUNCT
ejpam-5567	377	219	)	)	PUNCT
ejpam-5567	377	220	,	,	PUNCT
ejpam-5567	377	221	(	(	PUNCT
ejpam-5567	377	222	e4	e4	PROPN
ejpam-5567	377	223	,	,	PUNCT
ejpam-5567	377	224	(	(	PUNCT
ejpam-5567	377	225	{	{	PUNCT
ejpam-5567	377	226	a3	a3	NOUN
ejpam-5567	377	227	,	,	PUNCT
ejpam-5567	377	228	a5	a5	PROPN
ejpam-5567	377	229	}	}	PUNCT
ejpam-5567	377	230	,	,	PUNCT
ejpam-5567	377	231	{	{	PUNCT
ejpam-5567	377	232	d1	d1	NOUN
ejpam-5567	377	233	,	,	PUNCT
ejpam-5567	377	234	d2	d2	PROPN
ejpam-5567	377	235	,	,	PUNCT
ejpam-5567	377	236	d3	d3	PROPN
ejpam-5567	377	237	}	}	PUNCT
ejpam-5567	377	238	,	,	PUNCT
ejpam-5567	377	239	{	{	PUNCT
ejpam-5567	377	240	c1	c1	NOUN
ejpam-5567	377	241	,	,	PUNCT
ejpam-5567	377	242	c2	c2	PROPN
ejpam-5567	377	243	,	,	PUNCT
ejpam-5567	377	244	c3	c3	PROPN
ejpam-5567	377	245	}	}	PUNCT
ejpam-5567	377	246	)	)	PUNCT
ejpam-5567	377	247	)	)	PUNCT
ejpam-5567	377	248	}	}	PUNCT
ejpam-5567	377	249	,	,	PUNCT
ejpam-5567	377	250			NOUN
ejpam-5567	377	251	and	and	CCONJ
ejpam-5567	377	252	τ∆′	τ∆′	PUNCT
ejpam-5567	377	253	be	be	AUX
ejpam-5567	377	254	given	give	VERB
ejpam-5567	377	255	by	by	ADP
ejpam-5567	377	256	τ∆′	τ∆′	PUNCT
ejpam-5567	377	257	=	=	SYM
ejpam-5567	377	258			NUM
ejpam-5567	377	259	˜̃∅	˜̃∅	ADJ
ejpam-5567	377	260	,	,	PUNCT
ejpam-5567	377	261	˜̃	˜̃	NOUN
ejpam-5567	377	262	x	x	NOUN
ejpam-5567	377	263	,	,	PUNCT
ejpam-5567	377	264	{	{	PUNCT
ejpam-5567	377	265	(	(	PUNCT
ejpam-5567	377	266	e1	e1	PROPN
ejpam-5567	377	267	,	,	PUNCT
ejpam-5567	377	268	(	(	PUNCT
ejpam-5567	377	269	{	{	PUNCT
ejpam-5567	377	270	a2	a2	PROPN
ejpam-5567	377	271	}	}	PUNCT
ejpam-5567	377	272	,	,	PUNCT
ejpam-5567	377	273	{	{	PUNCT
ejpam-5567	377	274	d2	d2	PROPN
ejpam-5567	377	275	}	}	PUNCT
ejpam-5567	377	276	,	,	PUNCT
ejpam-5567	377	277	{	{	PUNCT
ejpam-5567	377	278	ć2	ć2	NOUN
ejpam-5567	377	279	}	}	PUNCT
ejpam-5567	377	280	)	)	PUNCT
ejpam-5567	377	281	)	)	PUNCT
ejpam-5567	377	282	,	,	PUNCT
ejpam-5567	377	283	(	(	PUNCT
ejpam-5567	377	284	e5	e5	INTJ
ejpam-5567	377	285	,	,	PUNCT
ejpam-5567	377	286	(	(	PUNCT
ejpam-5567	377	287	{	{	PUNCT
ejpam-5567	377	288	a3	a3	NOUN
ejpam-5567	377	289	,	,	PUNCT
ejpam-5567	377	290	a4	a4	PROPN
ejpam-5567	377	291	}	}	PUNCT
ejpam-5567	377	292	,	,	PUNCT
ejpam-5567	377	293	{	{	PUNCT
ejpam-5567	377	294	d1	d1	NOUN
ejpam-5567	377	295	,	,	PUNCT
ejpam-5567	377	296	d3	d3	PROPN
ejpam-5567	377	297	}	}	PUNCT
ejpam-5567	377	298	,	,	PUNCT
ejpam-5567	377	299	{	{	PUNCT
ejpam-5567	377	300	ć1	ć1	NOUN
ejpam-5567	377	301	,	,	PUNCT
ejpam-5567	377	302	ć3	ć3	NOUN
ejpam-5567	377	303	}	}	PUNCT
ejpam-5567	377	304	)	)	PUNCT
ejpam-5567	377	305	)	)	PUNCT
ejpam-5567	377	306	,	,	PUNCT
ejpam-5567	377	307	(	(	PUNCT
ejpam-5567	377	308	e8	e8	PROPN
ejpam-5567	377	309	,	,	PUNCT
ejpam-5567	377	310	(	(	PUNCT
ejpam-5567	377	311	{	{	PUNCT
ejpam-5567	377	312	a1	a1	NOUN
ejpam-5567	377	313	,	,	PUNCT
ejpam-5567	377	314	a3	a3	NOUN
ejpam-5567	377	315	}	}	PUNCT
ejpam-5567	377	316	,	,	PUNCT
ejpam-5567	377	317	{	{	PUNCT
ejpam-5567	377	318	d2	d2	PROPN
ejpam-5567	377	319	}	}	PUNCT
ejpam-5567	377	320	,	,	PUNCT
ejpam-5567	377	321	{	{	PUNCT
ejpam-5567	377	322	ć2	ć2	NOUN
ejpam-5567	377	323	}	}	PUNCT
ejpam-5567	377	324	)	)	PUNCT
ejpam-5567	377	325	)	)	PUNCT
ejpam-5567	377	326	}	}	PUNCT
ejpam-5567	377	327	,	,	PUNCT
ejpam-5567	377	328	{	{	PUNCT
ejpam-5567	377	329	(	(	PUNCT
ejpam-5567	377	330	e2	e2	PROPN
ejpam-5567	377	331	,	,	PUNCT
ejpam-5567	377	332	(	(	PUNCT
ejpam-5567	377	333	{	{	PUNCT
ejpam-5567	377	334	a1	a1	NOUN
ejpam-5567	377	335	,	,	PUNCT
ejpam-5567	377	336	a2	a2	PROPN
ejpam-5567	377	337	}	}	PUNCT
ejpam-5567	377	338	,	,	PUNCT
ejpam-5567	377	339	{	{	PUNCT
ejpam-5567	377	340	d4	d4	PROPN
ejpam-5567	377	341	}	}	PUNCT
ejpam-5567	377	342	,	,	PUNCT
ejpam-5567	377	343	{	{	PUNCT
ejpam-5567	377	344	ć2	ć2	NOUN
ejpam-5567	377	345	}	}	PUNCT
ejpam-5567	377	346	)	)	PUNCT
ejpam-5567	377	347	)	)	PUNCT
ejpam-5567	377	348	,	,	PUNCT
ejpam-5567	377	349	(	(	PUNCT
ejpam-5567	377	350	e5	e5	INTJ
ejpam-5567	377	351	,	,	PUNCT
ejpam-5567	377	352	(	(	PUNCT
ejpam-5567	377	353	{	{	PUNCT
ejpam-5567	377	354	a3	a3	NOUN
ejpam-5567	377	355	,	,	PUNCT
ejpam-5567	377	356	a5	a5	PROPN
ejpam-5567	377	357	}	}	PUNCT
ejpam-5567	377	358	,	,	PUNCT
ejpam-5567	377	359	{	{	PUNCT
ejpam-5567	377	360	d3	d3	PROPN
ejpam-5567	377	361	}	}	PUNCT
ejpam-5567	377	362	,	,	PUNCT
ejpam-5567	377	363	{	{	PUNCT
ejpam-5567	377	364	ć3	ć3	NOUN
ejpam-5567	377	365	}	}	PUNCT
ejpam-5567	377	366	)	)	PUNCT
ejpam-5567	377	367	)	)	PUNCT
ejpam-5567	377	368	,	,	PUNCT
ejpam-5567	377	369	(	(	PUNCT
ejpam-5567	377	370	e7	e7	PROPN
ejpam-5567	377	371	,	,	PUNCT
ejpam-5567	377	372	(	(	PUNCT
ejpam-5567	377	373	{	{	PUNCT
ejpam-5567	377	374	a1	a1	NOUN
ejpam-5567	377	375	}	}	PUNCT
ejpam-5567	377	376	,	,	PUNCT
ejpam-5567	377	377	{	{	PUNCT
ejpam-5567	377	378	d2	d2	PROPN
ejpam-5567	377	379	,	,	PUNCT
ejpam-5567	377	380	d3	d3	PROPN
ejpam-5567	377	381	}	}	PUNCT
ejpam-5567	377	382	,	,	PUNCT
ejpam-5567	377	383	{	{	PUNCT
ejpam-5567	377	384	ć2	ć2	NOUN
ejpam-5567	377	385	,	,	PUNCT
ejpam-5567	377	386	ć3	ć3	NOUN
ejpam-5567	377	387	}	}	PUNCT
ejpam-5567	377	388	)	)	PUNCT
ejpam-5567	377	389	)	)	PUNCT
ejpam-5567	377	390	}	}	PUNCT
ejpam-5567	377	391	,	,	PUNCT
ejpam-5567	377	392	{	{	PUNCT
ejpam-5567	377	393	(	(	PUNCT
ejpam-5567	377	394	e1	e1	NOUN
ejpam-5567	377	395	,	,	PUNCT
ejpam-5567	377	396	(	(	PUNCT
ejpam-5567	377	397	{	{	PUNCT
ejpam-5567	377	398	a2	a2	PROPN
ejpam-5567	377	399	}	}	PUNCT
ejpam-5567	377	400	,	,	PUNCT
ejpam-5567	377	401	{	{	PUNCT
ejpam-5567	377	402	d2	d2	PROPN
ejpam-5567	377	403	}	}	PUNCT
ejpam-5567	377	404	,	,	PUNCT
ejpam-5567	377	405	{	{	PUNCT
ejpam-5567	377	406	ć2	ć2	NOUN
ejpam-5567	377	407	}	}	PUNCT
ejpam-5567	377	408	)	)	PUNCT
ejpam-5567	377	409	)	)	PUNCT
ejpam-5567	377	410	,	,	PUNCT
ejpam-5567	377	411	(	(	PUNCT
ejpam-5567	377	412	e2	e2	PROPN
ejpam-5567	377	413	,	,	PUNCT
ejpam-5567	377	414	(	(	PUNCT
ejpam-5567	377	415	{	{	PUNCT
ejpam-5567	377	416	a1	a1	NOUN
ejpam-5567	377	417	,	,	PUNCT
ejpam-5567	377	418	a2	a2	PROPN
ejpam-5567	377	419	}	}	PUNCT
ejpam-5567	377	420	,	,	PUNCT
ejpam-5567	377	421	{	{	PUNCT
ejpam-5567	377	422	d4	d4	PROPN
ejpam-5567	377	423	}	}	PUNCT
ejpam-5567	377	424	,	,	PUNCT
ejpam-5567	377	425	{	{	PUNCT
ejpam-5567	377	426	ć4	ć4	NOUN
ejpam-5567	377	427	}	}	PUNCT
ejpam-5567	377	428	)	)	PUNCT
ejpam-5567	377	429	)	)	PUNCT
ejpam-5567	377	430	,	,	PUNCT
ejpam-5567	377	431	(	(	PUNCT
ejpam-5567	377	432	e5	e5	INTJ
ejpam-5567	377	433	,	,	PUNCT
ejpam-5567	377	434	(	(	PUNCT
ejpam-5567	377	435	{	{	PUNCT
ejpam-5567	377	436	a3	a3	NOUN
ejpam-5567	377	437	,	,	PUNCT
ejpam-5567	377	438	a4	a4	PROPN
ejpam-5567	377	439	,	,	PUNCT
ejpam-5567	377	440	a5	a5	PROPN
ejpam-5567	377	441	}	}	PUNCT
ejpam-5567	377	442	,	,	PUNCT
ejpam-5567	377	443	{	{	PUNCT
ejpam-5567	377	444	d1	d1	NOUN
ejpam-5567	377	445	,	,	PUNCT
ejpam-5567	377	446	d3	d3	PROPN
ejpam-5567	377	447	}	}	PUNCT
ejpam-5567	377	448	,	,	PUNCT
ejpam-5567	377	449	{	{	PUNCT
ejpam-5567	377	450	ć1	ć1	NOUN
ejpam-5567	377	451	,	,	PUNCT
ejpam-5567	377	452	ć3	ć3	NOUN
ejpam-5567	377	453	}	}	PUNCT
ejpam-5567	377	454	)	)	PUNCT
ejpam-5567	377	455	)	)	PUNCT
ejpam-5567	377	456	,	,	PUNCT
ejpam-5567	377	457	(	(	PUNCT
ejpam-5567	377	458	e7	e7	PROPN
ejpam-5567	377	459	,	,	PUNCT
ejpam-5567	377	460	(	(	PUNCT
ejpam-5567	377	461	{	{	PUNCT
ejpam-5567	377	462	a1	a1	NOUN
ejpam-5567	377	463	}	}	PUNCT
ejpam-5567	377	464	,	,	PUNCT
ejpam-5567	377	465	{	{	PUNCT
ejpam-5567	377	466	d1	d1	NOUN
ejpam-5567	377	467	,	,	PUNCT
ejpam-5567	377	468	d3	d3	PROPN
ejpam-5567	377	469	}	}	PUNCT
ejpam-5567	377	470	,	,	PUNCT
ejpam-5567	377	471	{	{	PUNCT
ejpam-5567	377	472	ć1	ć1	NOUN
ejpam-5567	377	473	,	,	PUNCT
ejpam-5567	377	474	ć3	ć3	NOUN
ejpam-5567	377	475	}	}	PUNCT
ejpam-5567	377	476	)	)	PUNCT
ejpam-5567	377	477	)	)	PUNCT
ejpam-5567	377	478	}	}	PUNCT
ejpam-5567	377	479			ADJ
ejpam-5567	377	480	m.	m.	NOUN
ejpam-5567	377	481	nawaz	nawaz	NOUN
ejpam-5567	377	482	et	et	PROPN
ejpam-5567	377	483	al	al	PROPN
ejpam-5567	377	484	.	.	PUNCT
ejpam-5567	377	485	/	/	SYM
ejpam-5567	377	486	eur	eur	PROPN
ejpam-5567	377	487	.	.	PUNCT
ejpam-5567	378	1	j.	j.	PROPN
ejpam-5567	378	2	pure	pure	PROPN
ejpam-5567	378	3	appl	appl	PROPN
ejpam-5567	378	4	.	.	PROPN
ejpam-5567	378	5	math	math	PROPN
ejpam-5567	378	6	,	,	PUNCT
ejpam-5567	378	7	18	18	NUM
ejpam-5567	378	8	(	(	PUNCT
ejpam-5567	378	9	1	1	NUM
ejpam-5567	378	10	)	)	PUNCT
ejpam-5567	378	11	(	(	PUNCT
ejpam-5567	378	12	2025	2025	NUM
ejpam-5567	378	13	)	)	PUNCT
ejpam-5567	378	14	,	,	PUNCT
ejpam-5567	378	15	5567	5567	NUM
ejpam-5567	378	16	18	18	NUM
ejpam-5567	378	17	of	of	ADP
ejpam-5567	378	18	45	45	NUM
ejpam-5567	378	19	then	then	ADV
ejpam-5567	378	20	clearly	clearly	ADV
ejpam-5567	378	21	,	,	PUNCT
ejpam-5567	378	22	τ∆	τ∆	PUNCT
ejpam-5567	378	23	and	and	CCONJ
ejpam-5567	378	24	τ∆′	τ∆′	PUNCT
ejpam-5567	378	25	are	be	AUX
ejpam-5567	378	26	ternary	ternary	ADJ
ejpam-5567	378	27	soft	soft	ADJ
ejpam-5567	378	28	topological	topological	ADJ
ejpam-5567	378	29	spaces	space	NOUN
ejpam-5567	378	30	,	,	PUNCT
ejpam-5567	378	31	but	but	CCONJ
ejpam-5567	378	32	τ∆	τ∆	NOUN
ejpam-5567	378	33	˜̃∪τ∆′	˜̃∪τ∆′	X
ejpam-5567	378	34	=	=	PUNCT
ejpam-5567	378	35			PROPN
ejpam-5567	378	36	˜̃∅	˜̃∅	NOUN
ejpam-5567	378	37	,	,	PUNCT
ejpam-5567	378	38	˜̃	˜̃	NOUN
ejpam-5567	378	39	x	x	NOUN
ejpam-5567	378	40	,	,	PUNCT
ejpam-5567	378	41	{	{	PUNCT
ejpam-5567	378	42	(	(	PUNCT
ejpam-5567	378	43	e1	e1	PROPN
ejpam-5567	378	44	,	,	PUNCT
ejpam-5567	378	45	(	(	PUNCT
ejpam-5567	378	46	{	{	PUNCT
ejpam-5567	378	47	a1	a1	NOUN
ejpam-5567	378	48	,	,	PUNCT
ejpam-5567	378	49	a2	a2	PROPN
ejpam-5567	378	50	}	}	PUNCT
ejpam-5567	378	51	,	,	PUNCT
ejpam-5567	378	52	{	{	PUNCT
ejpam-5567	378	53	d1	d1	NOUN
ejpam-5567	378	54	,	,	PUNCT
ejpam-5567	378	55	d2	d2	PROPN
ejpam-5567	378	56	}	}	PUNCT
ejpam-5567	378	57	,	,	PUNCT
ejpam-5567	378	58	{	{	PUNCT
ejpam-5567	378	59	ć1	ć1	NOUN
ejpam-5567	378	60	,	,	PUNCT
ejpam-5567	378	61	ć2	ć2	PROPN
ejpam-5567	378	62	}	}	PUNCT
ejpam-5567	378	63	)	)	PUNCT
ejpam-5567	378	64	)	)	PUNCT
ejpam-5567	378	65	,	,	PUNCT
ejpam-5567	378	66	(	(	PUNCT
ejpam-5567	378	67	e2	e2	PROPN
ejpam-5567	378	68	,	,	PUNCT
ejpam-5567	378	69	(	(	PUNCT
ejpam-5567	378	70	{	{	PUNCT
ejpam-5567	378	71	a2	a2	PROPN
ejpam-5567	378	72	}	}	PUNCT
ejpam-5567	378	73	,	,	PUNCT
ejpam-5567	378	74	{	{	PUNCT
ejpam-5567	378	75	d2	d2	PROPN
ejpam-5567	378	76	}	}	PUNCT
ejpam-5567	378	77	,	,	PUNCT
ejpam-5567	378	78	{	{	PUNCT
ejpam-5567	378	79	ć2	ć2	NOUN
ejpam-5567	378	80	}	}	PUNCT
ejpam-5567	378	81	)	)	PUNCT
ejpam-5567	378	82	)	)	PUNCT
ejpam-5567	378	83	,	,	PUNCT
ejpam-5567	378	84	(	(	PUNCT
ejpam-5567	378	85	e4	e4	PROPN
ejpam-5567	378	86	,	,	PUNCT
ejpam-5567	378	87	(	(	PUNCT
ejpam-5567	378	88	{	{	PUNCT
ejpam-5567	378	89	a3	a3	NOUN
ejpam-5567	378	90	}	}	PUNCT
ejpam-5567	378	91	,	,	PUNCT
ejpam-5567	378	92	{	{	PUNCT
ejpam-5567	378	93	d3	d3	PROPN
ejpam-5567	378	94	}	}	PUNCT
ejpam-5567	378	95	,	,	PUNCT
ejpam-5567	378	96	{	{	PUNCT
ejpam-5567	378	97	ć3	ć3	NOUN
ejpam-5567	378	98	}	}	PUNCT
ejpam-5567	378	99	)	)	PUNCT
ejpam-5567	378	100	)	)	PUNCT
ejpam-5567	378	101	,	,	PUNCT
ejpam-5567	378	102	(	(	PUNCT
ejpam-5567	378	103	e5	e5	INTJ
ejpam-5567	378	104	,	,	PUNCT
ejpam-5567	378	105	(	(	PUNCT
ejpam-5567	378	106	{	{	PUNCT
ejpam-5567	378	107	a3	a3	NOUN
ejpam-5567	378	108	,	,	PUNCT
ejpam-5567	378	109	a4	a4	PROPN
ejpam-5567	378	110	}	}	PUNCT
ejpam-5567	378	111	,	,	PUNCT
ejpam-5567	378	112	{	{	PUNCT
ejpam-5567	378	113	d1	d1	NOUN
ejpam-5567	378	114	,	,	PUNCT
ejpam-5567	378	115	d3	d3	PROPN
ejpam-5567	378	116	}	}	PUNCT
ejpam-5567	378	117	,	,	PUNCT
ejpam-5567	378	118	{	{	PUNCT
ejpam-5567	378	119	ć1	ć1	NOUN
ejpam-5567	378	120	,	,	PUNCT
ejpam-5567	378	121	ć3	ć3	NOUN
ejpam-5567	378	122	}	}	PUNCT
ejpam-5567	378	123	)	)	PUNCT
ejpam-5567	378	124	)	)	PUNCT
ejpam-5567	378	125	,	,	PUNCT
ejpam-5567	378	126	(	(	PUNCT
ejpam-5567	378	127	e8	e8	PROPN
ejpam-5567	378	128	,	,	PUNCT
ejpam-5567	378	129	(	(	PUNCT
ejpam-5567	378	130	{	{	PUNCT
ejpam-5567	378	131	a1	a1	NOUN
ejpam-5567	378	132	,	,	PUNCT
ejpam-5567	378	133	a3	a3	NOUN
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ejpam-5567	378	135	,	,	PUNCT
ejpam-5567	378	136	{	{	PUNCT
ejpam-5567	378	137	d2	d2	PROPN
ejpam-5567	378	138	}	}	PUNCT
ejpam-5567	378	139	,	,	PUNCT
ejpam-5567	378	140	{	{	PUNCT
ejpam-5567	378	141	ć2	ć2	NOUN
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ejpam-5567	378	143	)	)	PUNCT
ejpam-5567	378	144	)	)	PUNCT
ejpam-5567	378	145	}	}	PUNCT
ejpam-5567	378	146	,	,	PUNCT
ejpam-5567	378	147	{	{	PUNCT
ejpam-5567	378	148	(	(	PUNCT
ejpam-5567	378	149	e1	e1	PROPN
ejpam-5567	378	150	,	,	PUNCT
ejpam-5567	378	151	(	(	PUNCT
ejpam-5567	378	152	{	{	PUNCT
ejpam-5567	378	153	a1	a1	NOUN
ejpam-5567	378	154	}	}	PUNCT
ejpam-5567	378	155	,	,	PUNCT
ejpam-5567	378	156	{	{	PUNCT
ejpam-5567	378	157	d1	d1	NOUN
ejpam-5567	378	158	}	}	PUNCT
ejpam-5567	378	159	,	,	PUNCT
ejpam-5567	378	160	{	{	PUNCT
ejpam-5567	378	161	ć1	ć1	NOUN
ejpam-5567	378	162	}	}	PUNCT
ejpam-5567	378	163	)	)	PUNCT
ejpam-5567	378	164	)	)	PUNCT
ejpam-5567	378	165	,	,	PUNCT
ejpam-5567	378	166	(	(	PUNCT
ejpam-5567	378	167	e2	e2	PROPN
ejpam-5567	378	168	,	,	PUNCT
ejpam-5567	378	169	(	(	PUNCT
ejpam-5567	378	170	{	{	PUNCT
ejpam-5567	378	171	a1	a1	NOUN
ejpam-5567	378	172	,	,	PUNCT
ejpam-5567	378	173	a2	a2	PROPN
ejpam-5567	378	174	}	}	PUNCT
ejpam-5567	378	175	,	,	PUNCT
ejpam-5567	378	176	{	{	PUNCT
ejpam-5567	378	177	d2	d2	PROPN
ejpam-5567	378	178	,	,	PUNCT
ejpam-5567	378	179	d4	d4	PROPN
ejpam-5567	378	180	}	}	PUNCT
ejpam-5567	378	181	,	,	PUNCT
ejpam-5567	378	182	{	{	PUNCT
ejpam-5567	378	183	ć2	ć2	NOUN
ejpam-5567	378	184	,	,	PUNCT
ejpam-5567	378	185	ć4	ć4	NOUN
ejpam-5567	378	186	}	}	PUNCT
ejpam-5567	378	187	)	)	PUNCT
ejpam-5567	378	188	)	)	PUNCT
ejpam-5567	378	189	,	,	PUNCT
ejpam-5567	378	190	(	(	PUNCT
ejpam-5567	378	191	e4	e4	PROPN
ejpam-5567	378	192	,	,	PUNCT
ejpam-5567	378	193	(	(	PUNCT
ejpam-5567	378	194	{	{	PUNCT
ejpam-5567	378	195	a3	a3	NOUN
ejpam-5567	378	196	}	}	PUNCT
ejpam-5567	378	197	,	,	PUNCT
ejpam-5567	378	198	{	{	PUNCT
ejpam-5567	378	199	d3	d3	PROPN
ejpam-5567	378	200	}	}	PUNCT
ejpam-5567	378	201	,	,	PUNCT
ejpam-5567	378	202	{	{	PUNCT
ejpam-5567	378	203	ć3	ć3	NOUN
ejpam-5567	378	204	}	}	PUNCT
ejpam-5567	378	205	)	)	PUNCT
ejpam-5567	378	206	)	)	PUNCT
ejpam-5567	378	207	,	,	PUNCT
ejpam-5567	378	208	(	(	PUNCT
ejpam-5567	378	209	e5	e5	INTJ
ejpam-5567	378	210	,	,	PUNCT
ejpam-5567	378	211	(	(	PUNCT
ejpam-5567	378	212	{	{	PUNCT
ejpam-5567	378	213	a3	a3	NOUN
ejpam-5567	378	214	,	,	PUNCT
ejpam-5567	378	215	a5	a5	PROPN
ejpam-5567	378	216	}	}	PUNCT
ejpam-5567	378	217	,	,	PUNCT
ejpam-5567	378	218	{	{	PUNCT
ejpam-5567	378	219	d3	d3	PROPN
ejpam-5567	378	220	}	}	PUNCT
ejpam-5567	378	221	,	,	PUNCT
ejpam-5567	378	222	{	{	PUNCT
ejpam-5567	378	223	ć3	ć3	NOUN
ejpam-5567	378	224	}	}	PUNCT
ejpam-5567	378	225	)	)	PUNCT
ejpam-5567	378	226	)	)	PUNCT
ejpam-5567	378	227	,	,	PUNCT
ejpam-5567	378	228	(	(	PUNCT
ejpam-5567	378	229	e7	e7	PROPN
ejpam-5567	378	230	,	,	PUNCT
ejpam-5567	378	231	(	(	PUNCT
ejpam-5567	378	232	{	{	PUNCT
ejpam-5567	378	233	a1	a1	NOUN
ejpam-5567	378	234	}	}	PUNCT
ejpam-5567	378	235	,	,	PUNCT
ejpam-5567	378	236	{	{	PUNCT
ejpam-5567	378	237	d2	d2	PROPN
ejpam-5567	378	238	,	,	PUNCT
ejpam-5567	378	239	d3	d3	PROPN
ejpam-5567	378	240	}	}	PUNCT
ejpam-5567	378	241	,	,	PUNCT
ejpam-5567	378	242	{	{	PUNCT
ejpam-5567	378	243	ć2	ć2	NOUN
ejpam-5567	378	244	,	,	PUNCT
ejpam-5567	378	245	ć3	ć3	NOUN
ejpam-5567	378	246	}	}	PUNCT
ejpam-5567	378	247	)	)	PUNCT
ejpam-5567	378	248	)	)	PUNCT
ejpam-5567	378	249	}	}	PUNCT
ejpam-5567	378	250	,	,	PUNCT
ejpam-5567	378	251	{	{	PUNCT
ejpam-5567	378	252	(	(	PUNCT
ejpam-5567	378	253	e1	e1	PROPN
ejpam-5567	378	254	,	,	PUNCT
ejpam-5567	378	255	(	(	PUNCT
ejpam-5567	378	256	{	{	PUNCT
ejpam-5567	378	257	a1	a1	NOUN
ejpam-5567	378	258	,	,	PUNCT
ejpam-5567	378	259	a2	a2	PROPN
ejpam-5567	378	260	}	}	PUNCT
ejpam-5567	378	261	,	,	PUNCT
ejpam-5567	378	262	{	{	PUNCT
ejpam-5567	378	263	d1	d1	NOUN
ejpam-5567	378	264	,	,	PUNCT
ejpam-5567	378	265	d2	d2	PROPN
ejpam-5567	378	266	}	}	PUNCT
ejpam-5567	378	267	,	,	PUNCT
ejpam-5567	378	268	{	{	PUNCT
ejpam-5567	378	269	ć1	ć1	NOUN
ejpam-5567	378	270	,	,	PUNCT
ejpam-5567	378	271	ć2	ć2	PROPN
ejpam-5567	378	272	}	}	PUNCT
ejpam-5567	378	273	)	)	PUNCT
ejpam-5567	378	274	)	)	PUNCT
ejpam-5567	378	275	,	,	PUNCT
ejpam-5567	378	276	(	(	PUNCT
ejpam-5567	378	277	e2	e2	PROPN
ejpam-5567	378	278	,	,	PUNCT
ejpam-5567	378	279	(	(	PUNCT
ejpam-5567	378	280	{	{	PUNCT
ejpam-5567	378	281	a1	a1	NOUN
ejpam-5567	378	282	,	,	PUNCT
ejpam-5567	378	283	a2	a2	PROPN
ejpam-5567	378	284	}	}	PUNCT
ejpam-5567	378	285	,	,	PUNCT
ejpam-5567	378	286	{	{	PUNCT
ejpam-5567	378	287	d2	d2	PROPN
ejpam-5567	378	288	,	,	PUNCT
ejpam-5567	378	289	d4	d4	PROPN
ejpam-5567	378	290	}	}	PUNCT
ejpam-5567	378	291	,	,	PUNCT
ejpam-5567	378	292	{	{	PUNCT
ejpam-5567	378	293	ć2	ć2	NOUN
ejpam-5567	378	294	,	,	PUNCT
ejpam-5567	378	295	ć4	ć4	NOUN
ejpam-5567	378	296	}	}	PUNCT
ejpam-5567	378	297	)	)	PUNCT
ejpam-5567	378	298	)	)	PUNCT
ejpam-5567	378	299	,	,	PUNCT
ejpam-5567	378	300	(	(	PUNCT
ejpam-5567	378	301	e4	e4	PROPN
ejpam-5567	378	302	,	,	PUNCT
ejpam-5567	378	303	(	(	PUNCT
ejpam-5567	378	304	{	{	PUNCT
ejpam-5567	378	305	a3	a3	NOUN
ejpam-5567	378	306	}	}	PUNCT
ejpam-5567	378	307	,	,	PUNCT
ejpam-5567	378	308	{	{	PUNCT
ejpam-5567	378	309	d3	d3	PROPN
ejpam-5567	378	310	}	}	PUNCT
ejpam-5567	378	311	,	,	PUNCT
ejpam-5567	378	312	{	{	PUNCT
ejpam-5567	378	313	ć3	ć3	NOUN
ejpam-5567	378	314	}	}	PUNCT
ejpam-5567	378	315	)	)	PUNCT
ejpam-5567	378	316	)	)	PUNCT
ejpam-5567	378	317	,	,	PUNCT
ejpam-5567	378	318	(	(	PUNCT
ejpam-5567	378	319	e5	e5	INTJ
ejpam-5567	378	320	,	,	PUNCT
ejpam-5567	378	321	(	(	PUNCT
ejpam-5567	378	322	{	{	PUNCT
ejpam-5567	378	323	a3	a3	NOUN
ejpam-5567	378	324	,	,	PUNCT
ejpam-5567	378	325	a4	a4	PROPN
ejpam-5567	378	326	,	,	PUNCT
ejpam-5567	378	327	a5	a5	PROPN
ejpam-5567	378	328	}	}	PUNCT
ejpam-5567	378	329	,	,	PUNCT
ejpam-5567	378	330	{	{	PUNCT
ejpam-5567	378	331	d1	d1	NOUN
ejpam-5567	378	332	,	,	PUNCT
ejpam-5567	378	333	d3	d3	PROPN
ejpam-5567	378	334	}	}	PUNCT
ejpam-5567	378	335	,	,	PUNCT
ejpam-5567	378	336	{	{	PUNCT
ejpam-5567	378	337	ć1	ć1	NOUN
ejpam-5567	378	338	,	,	PUNCT
ejpam-5567	378	339	ć3	ć3	NOUN
ejpam-5567	378	340	}	}	PUNCT
ejpam-5567	378	341	)	)	PUNCT
ejpam-5567	378	342	)	)	PUNCT
ejpam-5567	378	343	,	,	PUNCT
ejpam-5567	378	344	(	(	PUNCT
ejpam-5567	378	345	e7	e7	PROPN
ejpam-5567	378	346	,	,	PUNCT
ejpam-5567	378	347	(	(	PUNCT
ejpam-5567	378	348	{	{	PUNCT
ejpam-5567	378	349	a1	a1	NOUN
ejpam-5567	378	350	}	}	PUNCT
ejpam-5567	378	351	,	,	PUNCT
ejpam-5567	378	352	{	{	PUNCT
ejpam-5567	378	353	d2	d2	PROPN
ejpam-5567	378	354	,	,	PUNCT
ejpam-5567	378	355	d3	d3	PROPN
ejpam-5567	378	356	}	}	PUNCT
ejpam-5567	378	357	,	,	PUNCT
ejpam-5567	378	358	{	{	PUNCT
ejpam-5567	378	359	ć2	ć2	NOUN
ejpam-5567	378	360	,	,	PUNCT
ejpam-5567	378	361	ć3	ć3	NOUN
ejpam-5567	378	362	}	}	PUNCT
ejpam-5567	378	363	)	)	PUNCT
ejpam-5567	378	364	)	)	PUNCT
ejpam-5567	378	365	}	}	PUNCT
ejpam-5567	378	366	,	,	PUNCT
ejpam-5567	378	367	{	{	PUNCT
ejpam-5567	378	368	(	(	PUNCT
ejpam-5567	378	369	e1	e1	NOUN
ejpam-5567	378	370	,	,	PUNCT
ejpam-5567	378	371	(	(	PUNCT
ejpam-5567	378	372	{	{	PUNCT
ejpam-5567	378	373	a2	a2	PROPN
ejpam-5567	378	374	,	,	PUNCT
ejpam-5567	378	375	a4	a4	PROPN
ejpam-5567	378	376	}	}	PUNCT
ejpam-5567	378	377	,	,	PUNCT
ejpam-5567	378	378	{	{	PUNCT
ejpam-5567	378	379	d2	d2	PROPN
ejpam-5567	378	380	,	,	PUNCT
ejpam-5567	378	381	d4	d4	PROPN
ejpam-5567	378	382	}	}	PUNCT
ejpam-5567	378	383	,	,	PUNCT
ejpam-5567	378	384	{	{	PUNCT
ejpam-5567	378	385	ć2	ć2	NOUN
ejpam-5567	378	386	,	,	PUNCT
ejpam-5567	378	387	ć3	ć3	NOUN
ejpam-5567	378	388	}	}	PUNCT
ejpam-5567	378	389	)	)	PUNCT
ejpam-5567	378	390	)	)	PUNCT
ejpam-5567	378	391	,	,	PUNCT
ejpam-5567	378	392	(	(	PUNCT
ejpam-5567	378	393	e2	e2	PROPN
ejpam-5567	378	394	,	,	PUNCT
ejpam-5567	378	395	(	(	PUNCT
ejpam-5567	378	396	{	{	PUNCT
ejpam-5567	378	397	a3	a3	NOUN
ejpam-5567	378	398	}	}	PUNCT
ejpam-5567	378	399	,	,	PUNCT
ejpam-5567	378	400	{	{	PUNCT
ejpam-5567	378	401	d1	d1	NOUN
ejpam-5567	378	402	}	}	PUNCT
ejpam-5567	378	403	,	,	PUNCT
ejpam-5567	378	404	{	{	PUNCT
ejpam-5567	378	405	ć1	ć1	NOUN
ejpam-5567	378	406	}	}	PUNCT
ejpam-5567	378	407	)	)	PUNCT
ejpam-5567	378	408	)	)	PUNCT
ejpam-5567	378	409	,	,	PUNCT
ejpam-5567	378	410	(	(	PUNCT
ejpam-5567	378	411	e3	e3	NOUN
ejpam-5567	378	412	,	,	PUNCT
ejpam-5567	378	413	(	(	PUNCT
ejpam-5567	378	414	{	{	PUNCT
ejpam-5567	378	415	a1	a1	NOUN
ejpam-5567	378	416	,	,	PUNCT
ejpam-5567	378	417	a2	a2	PROPN
ejpam-5567	378	418	}	}	PUNCT
ejpam-5567	378	419	,	,	PUNCT
ejpam-5567	378	420	{	{	PUNCT
ejpam-5567	378	421	d3	d3	PROPN
ejpam-5567	378	422	}	}	PUNCT
ejpam-5567	378	423	,	,	PUNCT
ejpam-5567	378	424	{	{	PUNCT
ejpam-5567	378	425	ć3	ć3	NOUN
ejpam-5567	378	426	}	}	PUNCT
ejpam-5567	378	427	)	)	PUNCT
ejpam-5567	378	428	)	)	PUNCT
ejpam-5567	378	429	,	,	PUNCT
ejpam-5567	378	430	(	(	PUNCT
ejpam-5567	378	431	e5	e5	INTJ
ejpam-5567	378	432	,	,	PUNCT
ejpam-5567	378	433	(	(	PUNCT
ejpam-5567	378	434	{	{	PUNCT
ejpam-5567	378	435	a3	a3	NOUN
ejpam-5567	378	436	,	,	PUNCT
ejpam-5567	378	437	a4	a4	PROPN
ejpam-5567	378	438	}	}	PUNCT
ejpam-5567	378	439	,	,	PUNCT
ejpam-5567	378	440	{	{	PUNCT
ejpam-5567	378	441	d1	d1	NOUN
ejpam-5567	378	442	,	,	PUNCT
ejpam-5567	378	443	d3	d3	PROPN
ejpam-5567	378	444	}	}	PUNCT
ejpam-5567	378	445	,	,	PUNCT
ejpam-5567	378	446	{	{	PUNCT
ejpam-5567	378	447	ć1	ć1	NOUN
ejpam-5567	378	448	,	,	PUNCT
ejpam-5567	378	449	ć3	ć3	NOUN
ejpam-5567	378	450	}	}	PUNCT
ejpam-5567	378	451	)	)	PUNCT
ejpam-5567	378	452	)	)	PUNCT
ejpam-5567	378	453	,	,	PUNCT
ejpam-5567	378	454	(	(	PUNCT
ejpam-5567	378	455	e8	e8	PROPN
ejpam-5567	378	456	,	,	PUNCT
ejpam-5567	378	457	(	(	PUNCT
ejpam-5567	378	458	{	{	PUNCT
ejpam-5567	378	459	a1	a1	NOUN
ejpam-5567	378	460	,	,	PUNCT
ejpam-5567	378	461	a3	a3	NOUN
ejpam-5567	378	462	}	}	PUNCT
ejpam-5567	378	463	,	,	PUNCT
ejpam-5567	378	464	{	{	PUNCT
ejpam-5567	378	465	d2	d2	PROPN
ejpam-5567	378	466	}	}	PUNCT
ejpam-5567	378	467	,	,	PUNCT
ejpam-5567	378	468	{	{	PUNCT
ejpam-5567	378	469	ć2	ć2	NOUN
ejpam-5567	378	470	}	}	PUNCT
ejpam-5567	378	471	)	)	PUNCT
ejpam-5567	378	472	)	)	PUNCT
ejpam-5567	378	473	}	}	PUNCT
ejpam-5567	378	474	,	,	PUNCT
ejpam-5567	378	475	{	{	PUNCT
ejpam-5567	378	476	(	(	PUNCT
ejpam-5567	378	477	e1	e1	PROPN
ejpam-5567	378	478	,	,	PUNCT
ejpam-5567	378	479	(	(	PUNCT
ejpam-5567	378	480	{	{	PUNCT
ejpam-5567	378	481	a4	a4	NOUN
ejpam-5567	378	482	}	}	PUNCT
ejpam-5567	378	483	,	,	PUNCT
ejpam-5567	378	484	{	{	PUNCT
ejpam-5567	378	485	d4	d4	PROPN
ejpam-5567	378	486	}	}	PUNCT
ejpam-5567	378	487	,	,	PUNCT
ejpam-5567	378	488	{	{	PUNCT
ejpam-5567	378	489	ć4	ć4	NOUN
ejpam-5567	378	490	}	}	PUNCT
ejpam-5567	378	491	)	)	PUNCT
ejpam-5567	378	492	)	)	PUNCT
ejpam-5567	378	493	,	,	PUNCT
ejpam-5567	378	494	(	(	PUNCT
ejpam-5567	378	495	e2	e2	PROPN
ejpam-5567	378	496	,	,	PUNCT
ejpam-5567	378	497	(	(	PUNCT
ejpam-5567	378	498	{	{	PUNCT
ejpam-5567	378	499	a1	a1	NOUN
ejpam-5567	378	500	,	,	PUNCT
ejpam-5567	378	501	a2	a2	PROPN
ejpam-5567	378	502	,	,	PUNCT
ejpam-5567	378	503	a3	a3	NOUN
ejpam-5567	378	504	}	}	PUNCT
ejpam-5567	378	505	,	,	PUNCT
ejpam-5567	378	506	{	{	PUNCT
ejpam-5567	378	507	d1	d1	NOUN
ejpam-5567	378	508	,	,	PUNCT
ejpam-5567	378	509	d4	d4	PROPN
ejpam-5567	378	510	}	}	PUNCT
ejpam-5567	378	511	,	,	PUNCT
ejpam-5567	378	512	{	{	PUNCT
ejpam-5567	378	513	ć1	ć1	NOUN
ejpam-5567	378	514	,	,	PUNCT
ejpam-5567	378	515	ć4	ć4	NOUN
ejpam-5567	378	516	}	}	PUNCT
ejpam-5567	378	517	)	)	PUNCT
ejpam-5567	378	518	)	)	PUNCT
ejpam-5567	378	519	,	,	PUNCT
ejpam-5567	378	520	(	(	PUNCT
ejpam-5567	378	521	e3	e3	NOUN
ejpam-5567	378	522	,	,	PUNCT
ejpam-5567	378	523	(	(	PUNCT
ejpam-5567	378	524	{	{	PUNCT
ejpam-5567	378	525	a1	a1	NOUN
ejpam-5567	378	526	,	,	PUNCT
ejpam-5567	378	527	a2	a2	PROPN
ejpam-5567	378	528	}	}	PUNCT
ejpam-5567	378	529	,	,	PUNCT
ejpam-5567	378	530	{	{	PUNCT
ejpam-5567	378	531	d3	d3	PROPN
ejpam-5567	378	532	}	}	PUNCT
ejpam-5567	378	533	,	,	PUNCT
ejpam-5567	378	534	{	{	PUNCT
ejpam-5567	378	535	ć3	ć3	NOUN
ejpam-5567	378	536	}	}	PUNCT
ejpam-5567	378	537	)	)	PUNCT
ejpam-5567	378	538	)	)	PUNCT
ejpam-5567	378	539	,	,	PUNCT
ejpam-5567	378	540	(	(	PUNCT
ejpam-5567	378	541	e5	e5	INTJ
ejpam-5567	378	542	,	,	PUNCT
ejpam-5567	378	543	(	(	PUNCT
ejpam-5567	378	544	{	{	PUNCT
ejpam-5567	378	545	a3	a3	NOUN
ejpam-5567	378	546	,	,	PUNCT
ejpam-5567	378	547	a5	a5	PROPN
ejpam-5567	378	548	}	}	PUNCT
ejpam-5567	378	549	,	,	PUNCT
ejpam-5567	378	550	{	{	PUNCT
ejpam-5567	378	551	d3	d3	PROPN
ejpam-5567	378	552	}	}	PUNCT
ejpam-5567	378	553	,	,	PUNCT
ejpam-5567	378	554	{	{	PUNCT
ejpam-5567	378	555	ć3	ć3	NOUN
ejpam-5567	378	556	}	}	PUNCT
ejpam-5567	378	557	)	)	PUNCT
ejpam-5567	378	558	)	)	PUNCT
ejpam-5567	378	559	,	,	PUNCT
ejpam-5567	378	560	(	(	PUNCT
ejpam-5567	378	561	e7	e7	PROPN
ejpam-5567	378	562	,	,	PUNCT
ejpam-5567	378	563	(	(	PUNCT
ejpam-5567	378	564	{	{	PUNCT
ejpam-5567	378	565	a1	a1	NOUN
ejpam-5567	378	566	}	}	PUNCT
ejpam-5567	378	567	,	,	PUNCT
ejpam-5567	378	568	{	{	PUNCT
ejpam-5567	378	569	d2	d2	PROPN
ejpam-5567	378	570	,	,	PUNCT
ejpam-5567	378	571	d3	d3	PROPN
ejpam-5567	378	572	}	}	PUNCT
ejpam-5567	378	573	,	,	PUNCT
ejpam-5567	378	574	{	{	PUNCT
ejpam-5567	378	575	ć2	ć2	NOUN
ejpam-5567	378	576	,	,	PUNCT
ejpam-5567	378	577	ć3	ć3	NOUN
ejpam-5567	378	578	}	}	PUNCT
ejpam-5567	378	579	)	)	PUNCT
ejpam-5567	378	580	)	)	PUNCT
ejpam-5567	378	581	}	}	PUNCT
ejpam-5567	378	582	,	,	PUNCT
ejpam-5567	378	583	{	{	PUNCT
ejpam-5567	378	584	(	(	PUNCT
ejpam-5567	378	585	e1	e1	NOUN
ejpam-5567	378	586	,	,	PUNCT
ejpam-5567	378	587	(	(	PUNCT
ejpam-5567	378	588	{	{	PUNCT
ejpam-5567	378	589	a2	a2	PROPN
ejpam-5567	378	590	,	,	PUNCT
ejpam-5567	378	591	a4	a4	PROPN
ejpam-5567	378	592	}	}	PUNCT
ejpam-5567	378	593	,	,	PUNCT
ejpam-5567	378	594	{	{	PUNCT
ejpam-5567	378	595	d2	d2	PROPN
ejpam-5567	378	596	,	,	PUNCT
ejpam-5567	378	597	d4	d4	PROPN
ejpam-5567	378	598	}	}	PUNCT
ejpam-5567	378	599	,	,	PUNCT
ejpam-5567	378	600	{	{	PUNCT
ejpam-5567	378	601	ć2	ć2	NOUN
ejpam-5567	378	602	,	,	PUNCT
ejpam-5567	378	603	ć4	ć4	NOUN
ejpam-5567	378	604	}	}	PUNCT
ejpam-5567	378	605	)	)	PUNCT
ejpam-5567	378	606	)	)	PUNCT
ejpam-5567	378	607	,	,	PUNCT
ejpam-5567	378	608	(	(	PUNCT
ejpam-5567	378	609	e2	e2	PROPN
ejpam-5567	378	610	,	,	PUNCT
ejpam-5567	378	611	(	(	PUNCT
ejpam-5567	378	612	{	{	PUNCT
ejpam-5567	378	613	a1	a1	NOUN
ejpam-5567	378	614	,	,	PUNCT
ejpam-5567	378	615	a2	a2	PROPN
ejpam-5567	378	616	,	,	PUNCT
ejpam-5567	378	617	a3	a3	NOUN
ejpam-5567	378	618	}	}	PUNCT
ejpam-5567	378	619	,	,	PUNCT
ejpam-5567	378	620	{	{	PUNCT
ejpam-5567	378	621	d1	d1	NOUN
ejpam-5567	378	622	,	,	PUNCT
ejpam-5567	378	623	d4	d4	PROPN
ejpam-5567	378	624	}	}	PUNCT
ejpam-5567	378	625	,	,	PUNCT
ejpam-5567	378	626	{	{	PUNCT
ejpam-5567	378	627	ć1	ć1	NOUN
ejpam-5567	378	628	,	,	PUNCT
ejpam-5567	378	629	ć4	ć4	NOUN
ejpam-5567	378	630	}	}	PUNCT
ejpam-5567	378	631	)	)	PUNCT
ejpam-5567	378	632	)	)	PUNCT
ejpam-5567	378	633	,	,	PUNCT
ejpam-5567	378	634	(	(	PUNCT
ejpam-5567	378	635	e3	e3	NOUN
ejpam-5567	378	636	,	,	PUNCT
ejpam-5567	378	637	(	(	PUNCT
ejpam-5567	378	638	{	{	PUNCT
ejpam-5567	378	639	a1	a1	NOUN
ejpam-5567	378	640	,	,	PUNCT
ejpam-5567	378	641	a2	a2	PROPN
ejpam-5567	378	642	}	}	PUNCT
ejpam-5567	378	643	,	,	PUNCT
ejpam-5567	378	644	{	{	PUNCT
ejpam-5567	378	645	d3	d3	PROPN
ejpam-5567	378	646	}	}	PUNCT
ejpam-5567	378	647	,	,	PUNCT
ejpam-5567	378	648	{	{	PUNCT
ejpam-5567	378	649	ć3	ć3	NOUN
ejpam-5567	378	650	}	}	PUNCT
ejpam-5567	378	651	)	)	PUNCT
ejpam-5567	378	652	)	)	PUNCT
ejpam-5567	378	653	,	,	PUNCT
ejpam-5567	378	654	(	(	PUNCT
ejpam-5567	378	655	e5	e5	INTJ
ejpam-5567	378	656	,	,	PUNCT
ejpam-5567	378	657	(	(	PUNCT
ejpam-5567	378	658	{	{	PUNCT
ejpam-5567	378	659	a3	a3	NOUN
ejpam-5567	378	660	,	,	PUNCT
ejpam-5567	378	661	a4	a4	PROPN
ejpam-5567	378	662	,	,	PUNCT
ejpam-5567	378	663	a5	a5	PROPN
ejpam-5567	378	664	}	}	PUNCT
ejpam-5567	378	665	,	,	PUNCT
ejpam-5567	378	666	{	{	PUNCT
ejpam-5567	378	667	d1	d1	NOUN
ejpam-5567	378	668	,	,	PUNCT
ejpam-5567	378	669	d3	d3	PROPN
ejpam-5567	378	670	}	}	PUNCT
ejpam-5567	378	671	,	,	PUNCT
ejpam-5567	378	672	{	{	PUNCT
ejpam-5567	378	673	ć1	ć1	NOUN
ejpam-5567	378	674	,	,	PUNCT
ejpam-5567	378	675	ć3	ć3	NOUN
ejpam-5567	378	676	}	}	PUNCT
ejpam-5567	378	677	)	)	PUNCT
ejpam-5567	378	678	)	)	PUNCT
ejpam-5567	378	679	,	,	PUNCT
ejpam-5567	378	680	(	(	PUNCT
ejpam-5567	378	681	e7	e7	PROPN
ejpam-5567	378	682	,	,	PUNCT
ejpam-5567	378	683	(	(	PUNCT
ejpam-5567	378	684	{	{	PUNCT
ejpam-5567	378	685	a1	a1	NOUN
ejpam-5567	378	686	}	}	PUNCT
ejpam-5567	378	687	,	,	PUNCT
ejpam-5567	378	688	{	{	PUNCT
ejpam-5567	378	689	d2	d2	PROPN
ejpam-5567	378	690	,	,	PUNCT
ejpam-5567	378	691	d3	d3	PROPN
ejpam-5567	378	692	}	}	PUNCT
ejpam-5567	378	693	,	,	PUNCT
ejpam-5567	378	694	{	{	PUNCT
ejpam-5567	378	695	ć2	ć2	NOUN
ejpam-5567	378	696	,	,	PUNCT
ejpam-5567	378	697	ć3	ć3	NOUN
ejpam-5567	378	698	}	}	PUNCT
ejpam-5567	378	699	)	)	PUNCT
ejpam-5567	378	700	)	)	PUNCT
ejpam-5567	378	701	}	}	PUNCT
ejpam-5567	378	702			ADV
ejpam-5567	378	703	clearly	clearly	ADV
ejpam-5567	378	704	,	,	PUNCT
ejpam-5567	378	705	{	{	PUNCT
ejpam-5567	378	706	(	(	PUNCT
ejpam-5567	378	707	e5	e5	INTJ
ejpam-5567	378	708	,	,	PUNCT
ejpam-5567	378	709	(	(	PUNCT
ejpam-5567	378	710	{	{	PUNCT
ejpam-5567	378	711	a3	a3	NOUN
ejpam-5567	378	712	,	,	PUNCT
ejpam-5567	378	713	a4	a4	PROPN
ejpam-5567	378	714	}	}	PUNCT
ejpam-5567	378	715	,	,	PUNCT
ejpam-5567	378	716	{	{	PUNCT
ejpam-5567	378	717	d1	d1	NOUN
ejpam-5567	378	718	,	,	PUNCT
ejpam-5567	378	719	d3	d3	PROPN
ejpam-5567	378	720	}	}	PUNCT
ejpam-5567	378	721	,	,	PUNCT
ejpam-5567	378	722	{	{	PUNCT
ejpam-5567	378	723	ć1	ć1	NOUN
ejpam-5567	378	724	,	,	PUNCT
ejpam-5567	378	725	ć3}))}˜̃∩{(e5	ć3}))}˜̃∩{(e5	PROPN
ejpam-5567	378	726	,	,	PUNCT
ejpam-5567	378	727	(	(	PUNCT
ejpam-5567	378	728	{	{	PUNCT
ejpam-5567	378	729	a3	a3	NOUN
ejpam-5567	378	730	,	,	PUNCT
ejpam-5567	378	731	a5	a5	PROPN
ejpam-5567	378	732	}	}	PUNCT
ejpam-5567	378	733	,	,	PUNCT
ejpam-5567	378	734	{	{	PUNCT
ejpam-5567	378	735	d3	d3	PROPN
ejpam-5567	378	736	}	}	PUNCT
ejpam-5567	378	737	,	,	PUNCT
ejpam-5567	378	738	{	{	PUNCT
ejpam-5567	378	739	ć3	ć3	NOUN
ejpam-5567	378	740	}	}	PUNCT
ejpam-5567	378	741	)	)	PUNCT
ejpam-5567	378	742	)	)	PUNCT
ejpam-5567	378	743	}	}	PUNCT
ejpam-5567	378	744	=	=	SYM
ejpam-5567	378	745	{	{	PUNCT
ejpam-5567	378	746	(	(	PUNCT
ejpam-5567	378	747	e5	e5	INTJ
ejpam-5567	378	748	,	,	PUNCT
ejpam-5567	378	749	(	(	PUNCT
ejpam-5567	378	750	{	{	PUNCT
ejpam-5567	378	751	a3	a3	NOUN
ejpam-5567	378	752	}	}	PUNCT
ejpam-5567	378	753	,	,	PUNCT
ejpam-5567	378	754	{	{	PUNCT
ejpam-5567	378	755	d3	d3	PROPN
ejpam-5567	378	756	}	}	PUNCT
ejpam-5567	378	757	,	,	PUNCT
ejpam-5567	378	758	{	{	PUNCT
ejpam-5567	378	759	ć3	ć3	NOUN
ejpam-5567	378	760	}	}	PUNCT
ejpam-5567	378	761	)	)	PUNCT
ejpam-5567	378	762	)	)	PUNCT
ejpam-5567	378	763	}	}	PUNCT
ejpam-5567	378	764	/∈	/∈	PUNCT
ejpam-5567	379	1	τ∆	τ∆	NOUN
ejpam-5567	379	2	˜̃∪τ∆′	˜̃∪τ∆′	NOUN
ejpam-5567	379	3	.	.	PUNCT
ejpam-5567	380	1	thus	thus	ADV
ejpam-5567	380	2	,	,	PUNCT
ejpam-5567	380	3	τ∆	τ∆	PUNCT
ejpam-5567	380	4	˜̃∪τ∆′	˜̃∪τ∆′	PROPN
ejpam-5567	380	5	is	be	AUX
ejpam-5567	380	6	not	not	PART
ejpam-5567	380	7	a	a	DET
ejpam-5567	380	8	ternary	ternary	ADJ
ejpam-5567	380	9	soft	soft	ADJ
ejpam-5567	380	10	topology	topology	NOUN
ejpam-5567	380	11	.	.	PUNCT
ejpam-5567	381	1	theorem	theorem	NOUN
ejpam-5567	381	2	1	1	NUM
ejpam-5567	381	3	.	.	PUNCT
ejpam-5567	382	1	let	let	VERB
ejpam-5567	382	2	(	(	PUNCT
ejpam-5567	382	3	u1	u1	NOUN
ejpam-5567	382	4	,	,	PUNCT
ejpam-5567	382	5	u2	u2	NOUN
ejpam-5567	382	6	,	,	PUNCT
ejpam-5567	382	7	u3	u3	NOUN
ejpam-5567	382	8	,	,	PUNCT
ejpam-5567	382	9	τ∆	τ∆	NOUN
ejpam-5567	382	10	,	,	PUNCT
ejpam-5567	382	11	e	e	NOUN
ejpam-5567	382	12	)	)	PUNCT
ejpam-5567	382	13	and	and	CCONJ
ejpam-5567	382	14	(	(	PUNCT
ejpam-5567	382	15	u1	u1	PROPN
ejpam-5567	382	16	,	,	PUNCT
ejpam-5567	382	17	u2	u2	NOUN
ejpam-5567	382	18	,	,	PUNCT
ejpam-5567	382	19	u3	u3	PROPN
ejpam-5567	382	20	,	,	PUNCT
ejpam-5567	382	21	τ	τ	PROPN
ejpam-5567	382	22	′	′	NUM
ejpam-5567	382	23	∆	∆	PROPN
ejpam-5567	382	24	,	,	PUNCT
ejpam-5567	382	25	e	e	X
ejpam-5567	382	26	)	)	PUNCT
ejpam-5567	382	27	be	be	VERB
ejpam-5567	382	28	two	two	NUM
ejpam-5567	382	29	ternary	ternary	ADJ
ejpam-5567	382	30	soft	soft	ADJ
ejpam-5567	382	31	topological	topological	ADJ
ejpam-5567	382	32	spaces	space	NOUN
ejpam-5567	382	33	over	over	ADP
ejpam-5567	382	34	the	the	DET
ejpam-5567	382	35	common	common	ADJ
ejpam-5567	382	36	initial	initial	ADJ
ejpam-5567	382	37	sets	set	NOUN
ejpam-5567	382	38	u1	u1	NOUN
ejpam-5567	382	39	,	,	PUNCT
ejpam-5567	382	40	u2	u2	NOUN
ejpam-5567	382	41	,	,	PUNCT
ejpam-5567	382	42	u3	u3	NOUN
ejpam-5567	382	43	.	.	PUNCT
ejpam-5567	383	1	then	then	ADV
ejpam-5567	383	2	(	(	PUNCT
ejpam-5567	383	3	u1	u1	PROPN
ejpam-5567	383	4	,	,	PUNCT
ejpam-5567	383	5	u2	u2	NOUN
ejpam-5567	383	6	,	,	PUNCT
ejpam-5567	383	7	u3	u3	NOUN
ejpam-5567	383	8	,	,	PUNCT
ejpam-5567	383	9	τ∆	τ∆	PUNCT
ejpam-5567	383	10	˜̃∩τ	˜̃∩τ	ADV
ejpam-5567	383	11	′∆	′∆	VERB
ejpam-5567	383	12	,	,	PUNCT
ejpam-5567	383	13	e	e	NOUN
ejpam-5567	383	14	)	)	PUNCT
ejpam-5567	383	15	is	be	AUX
ejpam-5567	383	16	a	a	DET
ejpam-5567	383	17	ternary	ternary	ADJ
ejpam-5567	383	18	soft	soft	ADJ
ejpam-5567	383	19	topological	topological	ADJ
ejpam-5567	383	20	space	space	NOUN
ejpam-5567	383	21	over	over	ADP
ejpam-5567	383	22	u1	u1	PROPN
ejpam-5567	383	23	,	,	PUNCT
ejpam-5567	383	24	u2	u2	NOUN
ejpam-5567	383	25	,	,	PUNCT
ejpam-5567	383	26	u3	u3	NOUN
ejpam-5567	383	27	.	.	PUNCT
ejpam-5567	384	1	proof	proof	NOUN
ejpam-5567	384	2	.	.	PUNCT
ejpam-5567	385	1	(	(	PUNCT
ejpam-5567	385	2	i	i	NOUN
ejpam-5567	385	3	)	)	PUNCT
ejpam-5567	385	4	˜̃∅	˜̃∅	PROPN
ejpam-5567	385	5	,	,	PUNCT
ejpam-5567	385	6	˜̃	˜̃	NOUN
ejpam-5567	385	7	x	x	NOUN
ejpam-5567	385	8	,	,	PUNCT
ejpam-5567	385	9	belongs	belong	VERB
ejpam-5567	385	10	toτ∆	toτ∆	PUNCT
ejpam-5567	385	11	˜̃∩τ	˜̃∩τ	ADV
ejpam-5567	385	12	′∆.	′∆.	X
ejpam-5567	385	13	(	(	PUNCT
ejpam-5567	385	14	ii	ii	NOUN
ejpam-5567	385	15	)	)	PUNCT
ejpam-5567	385	16	let	let	AUX
ejpam-5567	385	17	{	{	PUNCT
ejpam-5567	385	18	gi	gi	VERB
ejpam-5567	385	19	,	,	PUNCT
ejpam-5567	385	20	e	e	NOUN
ejpam-5567	385	21	/	/	SYM
ejpam-5567	385	22	i	i	PRON
ejpam-5567	385	23	∈	∈	PROPN
ejpam-5567	385	24	î	î	PRON
ejpam-5567	385	25	}	}	PUNCT
ejpam-5567	385	26	be	be	VERB
ejpam-5567	385	27	a	a	DET
ejpam-5567	385	28	family	family	NOUN
ejpam-5567	385	29	of	of	ADP
ejpam-5567	385	30	ternary	ternary	ADJ
ejpam-5567	385	31	soft	soft	ADJ
ejpam-5567	385	32	sets	set	NOUN
ejpam-5567	385	33	in	in	ADP
ejpam-5567	385	34	τ∆	τ∆	PUNCT
ejpam-5567	385	35	˜̃∩τ	˜̃∩τ	ADV
ejpam-5567	385	36	′∆.	′∆.	VERB
ejpam-5567	385	37	then	then	ADV
ejpam-5567	385	38	(	(	PUNCT
ejpam-5567	385	39	gi	gi	INTJ
ejpam-5567	385	40	,	,	PUNCT
ejpam-5567	385	41	e	e	NOUN
ejpam-5567	385	42	)	)	PUNCT
ejpam-5567	385	43	∈	∈	PROPN
ejpam-5567	385	44	τ∆	τ∆	PUNCT
ejpam-5567	385	45	and	and	CCONJ
ejpam-5567	385	46	(	(	PUNCT
ejpam-5567	385	47	gi	gi	INTJ
ejpam-5567	385	48	,	,	PUNCT
ejpam-5567	385	49	e	e	NOUN
ejpam-5567	385	50	)	)	PUNCT
ejpam-5567	385	51	∈	∈	PROPN
ejpam-5567	386	1	τ	τ	X
ejpam-5567	386	2	′∆	′∆	VERB
ejpam-5567	386	3	for	for	ADP
ejpam-5567	386	4	all	all	PRON
ejpam-5567	386	5	i	i	PRON
ejpam-5567	386	6	∈	∈	PROPN
ejpam-5567	386	7	î	î	VERB
ejpam-5567	386	8	,	,	PUNCT
ejpam-5567	386	9	so	so	ADV
ejpam-5567	386	10	˜̃∪i∈î(gi	˜̃∪i∈î(gi	PROPN
ejpam-5567	386	11	,	,	PUNCT
ejpam-5567	386	12	e	e	NOUN
ejpam-5567	386	13	)	)	PUNCT
ejpam-5567	386	14	∈	∈	PROPN
ejpam-5567	386	15	τ∆	τ∆	PUNCT
ejpam-5567	386	16	and	and	CCONJ
ejpam-5567	386	17	˜̃∪i∈î(gi	˜̃∪i∈î(gi	PROPN
ejpam-5567	386	18	,	,	PUNCT
ejpam-5567	386	19	e	e	X
ejpam-5567	386	20	)	)	PUNCT
ejpam-5567	386	21	∈	∈	PROPN
ejpam-5567	386	22	τ	τ	PROPN
ejpam-5567	386	23	′∆.	′∆.	VERB
ejpam-5567	386	24	thus˜̃∪i∈î(gi	thus˜̃∪i∈î(gi	PROPN
ejpam-5567	386	25	,	,	PUNCT
ejpam-5567	386	26	e	e	X
ejpam-5567	386	27	)	)	PUNCT
ejpam-5567	386	28	∈	∈	PROPN
ejpam-5567	386	29	τ∆	τ∆	PUNCT
ejpam-5567	386	30	∩	∩	X
ejpam-5567	386	31	τ	τ	PROPN
ejpam-5567	386	32	′∆.	′∆.	X
ejpam-5567	386	33	(	(	PUNCT
ejpam-5567	386	34	iii	iii	NOUN
ejpam-5567	386	35	)	)	PUNCT
ejpam-5567	386	36	let	let	VERB
ejpam-5567	386	37	the	the	DET
ejpam-5567	386	38	two	two	NUM
ejpam-5567	386	39	ternary	ternary	ADJ
ejpam-5567	386	40	soft	soft	ADJ
ejpam-5567	386	41	sets	set	NOUN
ejpam-5567	386	42	(	(	PUNCT
ejpam-5567	386	43	h	h	NOUN
ejpam-5567	386	44	,	,	PUNCT
ejpam-5567	386	45	e	e	NOUN
ejpam-5567	386	46	)	)	PUNCT
ejpam-5567	386	47	,	,	PUNCT
ejpam-5567	386	48	(	(	PUNCT
ejpam-5567	386	49	î	î	X
ejpam-5567	386	50	,	,	PUNCT
ejpam-5567	386	51	e	e	X
ejpam-5567	386	52	)	)	PUNCT
ejpam-5567	386	53	∈	∈	NOUN
ejpam-5567	386	54	τ∆	τ∆	PUNCT
ejpam-5567	386	55	˜̃∩τ	˜̃∩τ	ADV
ejpam-5567	386	56	′∆.	′∆.	VERB
ejpam-5567	386	57	then	then	ADV
ejpam-5567	386	58	(	(	PUNCT
ejpam-5567	386	59	h	h	NOUN
ejpam-5567	386	60	,	,	PUNCT
ejpam-5567	386	61	e	e	NOUN
ejpam-5567	386	62	)	)	PUNCT
ejpam-5567	386	63	,	,	PUNCT
ejpam-5567	386	64	(	(	PUNCT
ejpam-5567	386	65	î	î	X
ejpam-5567	386	66	,	,	PUNCT
ejpam-5567	386	67	e	e	X
ejpam-5567	386	68	)	)	PUNCT
ejpam-5567	386	69	∈	∈	PROPN
ejpam-5567	386	70	τ∆	τ∆	PUNCT
ejpam-5567	386	71	and	and	CCONJ
ejpam-5567	386	72	(	(	PUNCT
ejpam-5567	386	73	h	h	NOUN
ejpam-5567	386	74	,	,	PUNCT
ejpam-5567	386	75	e	e	NOUN
ejpam-5567	386	76	)	)	PUNCT
ejpam-5567	386	77	,	,	PUNCT
ejpam-5567	386	78	(	(	PUNCT
ejpam-5567	386	79	î	î	X
ejpam-5567	386	80	,	,	PUNCT
ejpam-5567	386	81	e	e	X
ejpam-5567	386	82	)	)	PUNCT
ejpam-5567	386	83	∈	∈	PROPN
ejpam-5567	386	84	τ	τ	X
ejpam-5567	386	85	′∆.	′∆.	AUX
ejpam-5567	386	86	since	since	SCONJ
ejpam-5567	386	87	(	(	PUNCT
ejpam-5567	386	88	h	h	NOUN
ejpam-5567	386	89	,	,	PUNCT
ejpam-5567	386	90	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	386	91	,	,	PUNCT
ejpam-5567	386	92	e	e	NOUN
ejpam-5567	386	93	)	)	PUNCT
ejpam-5567	386	94	∈	∈	PROPN
ejpam-5567	386	95	τ∆	τ∆	PUNCT
ejpam-5567	386	96	and	and	CCONJ
ejpam-5567	386	97	(	(	PUNCT
ejpam-5567	386	98	h	h	NOUN
ejpam-5567	386	99	,	,	PUNCT
ejpam-5567	386	100	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	386	101	,	,	PUNCT
ejpam-5567	386	102	e	e	NOUN
ejpam-5567	386	103	)	)	PUNCT
ejpam-5567	386	104	∈	∈	PROPN
ejpam-5567	386	105	τ	τ	X
ejpam-5567	386	106	′∆	′∆	VERB
ejpam-5567	386	107	,	,	PUNCT
ejpam-5567	386	108	so	so	CCONJ
ejpam-5567	386	109	(	(	PUNCT
ejpam-5567	386	110	h	h	NOUN
ejpam-5567	386	111	,	,	PUNCT
ejpam-5567	386	112	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	386	113	,	,	PUNCT
ejpam-5567	386	114	e	e	NOUN
ejpam-5567	386	115	)	)	PUNCT
ejpam-5567	386	116	∈	∈	NOUN
ejpam-5567	386	117	τ∆	τ∆	PUNCT
ejpam-5567	386	118	˜̃∩τ	˜̃∩τ	ADV
ejpam-5567	386	119	′∆.	′∆.	VERB
ejpam-5567	386	120	6	6	NUM
ejpam-5567	386	121	.	.	PUNCT
ejpam-5567	387	1	characterization	characterization	NOUN
ejpam-5567	387	2	of	of	ADP
ejpam-5567	387	3	more	more	ADJ
ejpam-5567	387	4	results	result	NOUN
ejpam-5567	387	5	in	in	ADP
ejpam-5567	387	6	terms	term	NOUN
ejpam-5567	387	7	of	of	ADP
ejpam-5567	387	8	interior	interior	ADJ
ejpam-5567	387	9	and	and	CCONJ
ejpam-5567	387	10	closure	closure	NOUN
ejpam-5567	387	11	in	in	ADP
ejpam-5567	387	12	this	this	DET
ejpam-5567	387	13	section	section	NOUN
ejpam-5567	387	14	,	,	PUNCT
ejpam-5567	387	15	several	several	ADJ
ejpam-5567	387	16	additional	additional	ADJ
ejpam-5567	387	17	results	result	NOUN
ejpam-5567	387	18	are	be	AUX
ejpam-5567	387	19	introduced	introduce	VERB
ejpam-5567	387	20	concerning	concern	VERB
ejpam-5567	387	21	the	the	DET
ejpam-5567	387	22	concepts	concept	NOUN
ejpam-5567	387	23	of	of	ADP
ejpam-5567	387	24	the	the	DET
ejpam-5567	387	25	interior	interior	NOUN
ejpam-5567	387	26	and	and	CCONJ
ejpam-5567	387	27	closure	closure	NOUN
ejpam-5567	387	28	of	of	ADP
ejpam-5567	387	29	sets	set	NOUN
ejpam-5567	387	30	within	within	ADP
ejpam-5567	387	31	the	the	DET
ejpam-5567	387	32	context	context	NOUN
ejpam-5567	387	33	of	of	ADP
ejpam-5567	387	34	ternary	ternary	ADJ
ejpam-5567	387	35	soft	soft	ADJ
ejpam-5567	387	36	topological	topological	ADJ
ejpam-5567	387	37	spaces	space	NOUN
ejpam-5567	387	38	.	.	PUNCT
ejpam-5567	388	1	m.	m.	NOUN
ejpam-5567	388	2	nawaz	nawaz	PROPN
ejpam-5567	388	3	et	et	PROPN
ejpam-5567	388	4	al	al	PROPN
ejpam-5567	388	5	.	.	PUNCT
ejpam-5567	388	6	/	/	SYM
ejpam-5567	388	7	eur	eur	PROPN
ejpam-5567	388	8	.	.	PUNCT
ejpam-5567	389	1	j.	j.	PROPN
ejpam-5567	389	2	pure	pure	PROPN
ejpam-5567	389	3	appl	appl	PROPN
ejpam-5567	389	4	.	.	PROPN
ejpam-5567	389	5	math	math	PROPN
ejpam-5567	389	6	,	,	PUNCT
ejpam-5567	389	7	18	18	NUM
ejpam-5567	389	8	(	(	PUNCT
ejpam-5567	389	9	1	1	NUM
ejpam-5567	389	10	)	)	PUNCT
ejpam-5567	389	11	(	(	PUNCT
ejpam-5567	389	12	2025	2025	NUM
ejpam-5567	389	13	)	)	PUNCT
ejpam-5567	389	14	,	,	PUNCT
ejpam-5567	389	15	5567	5567	NUM
ejpam-5567	389	16	19	19	NUM
ejpam-5567	389	17	of	of	ADP
ejpam-5567	389	18	45	45	NUM
ejpam-5567	389	19	the	the	DET
ejpam-5567	389	20	relationships	relationship	NOUN
ejpam-5567	389	21	and	and	CCONJ
ejpam-5567	389	22	interconnections	interconnection	NOUN
ejpam-5567	389	23	between	between	ADP
ejpam-5567	389	24	these	these	DET
ejpam-5567	389	25	results	result	NOUN
ejpam-5567	389	26	are	be	AUX
ejpam-5567	389	27	thoroughly	thoroughly	ADV
ejpam-5567	389	28	explored	explore	VERB
ejpam-5567	389	29	to	to	PART
ejpam-5567	389	30	provide	provide	VERB
ejpam-5567	389	31	a	a	DET
ejpam-5567	389	32	deeper	deep	ADJ
ejpam-5567	389	33	understanding	understanding	NOUN
ejpam-5567	389	34	of	of	ADP
ejpam-5567	389	35	their	their	PRON
ejpam-5567	389	36	significance	significance	NOUN
ejpam-5567	389	37	.	.	PUNCT
ejpam-5567	390	1	to	to	PART
ejpam-5567	390	2	facilitate	facilitate	VERB
ejpam-5567	390	3	a	a	DET
ejpam-5567	390	4	clearer	clear	ADJ
ejpam-5567	390	5	comprehension	comprehension	NOUN
ejpam-5567	390	6	of	of	ADP
ejpam-5567	390	7	the	the	DET
ejpam-5567	390	8	concepts	concept	NOUN
ejpam-5567	390	9	,	,	PUNCT
ejpam-5567	390	10	relevant	relevant	ADJ
ejpam-5567	390	11	examples	example	NOUN
ejpam-5567	390	12	are	be	AUX
ejpam-5567	390	13	included	include	VERB
ejpam-5567	390	14	,	,	PUNCT
ejpam-5567	390	15	demonstrating	demonstrate	VERB
ejpam-5567	390	16	how	how	SCONJ
ejpam-5567	390	17	these	these	DET
ejpam-5567	390	18	results	result	NOUN
ejpam-5567	390	19	can	can	AUX
ejpam-5567	390	20	be	be	AUX
ejpam-5567	390	21	effectively	effectively	ADV
ejpam-5567	390	22	applied	apply	VERB
ejpam-5567	390	23	in	in	ADP
ejpam-5567	390	24	various	various	ADJ
ejpam-5567	390	25	scenarios	scenario	NOUN
ejpam-5567	390	26	and	and	CCONJ
ejpam-5567	390	27	highlighting	highlight	VERB
ejpam-5567	390	28	their	their	PRON
ejpam-5567	390	29	practical	practical	ADJ
ejpam-5567	390	30	implications	implication	NOUN
ejpam-5567	390	31	.	.	PUNCT
ejpam-5567	391	1	definition	definition	NOUN
ejpam-5567	391	2	30	30	NUM
ejpam-5567	391	3	.	.	PUNCT
ejpam-5567	392	1	let	let	AUX
ejpam-5567	392	2	(	(	PUNCT
ejpam-5567	392	3	u1	u1	NOUN
ejpam-5567	392	4	,	,	PUNCT
ejpam-5567	392	5	u2	u2	NOUN
ejpam-5567	392	6	,	,	PUNCT
ejpam-5567	392	7	u3	u3	NOUN
ejpam-5567	392	8	,	,	PUNCT
ejpam-5567	392	9	τ∆	τ∆	NOUN
ejpam-5567	392	10	,	,	PUNCT
ejpam-5567	392	11	e	e	X
ejpam-5567	392	12	)	)	PUNCT
ejpam-5567	392	13	be	be	AUX
ejpam-5567	392	14	a	a	DET
ejpam-5567	392	15	ternary	ternary	ADJ
ejpam-5567	392	16	soft	soft	ADJ
ejpam-5567	392	17	topological	topological	ADJ
ejpam-5567	392	18	space	space	NOUN
ejpam-5567	392	19	over	over	ADP
ejpam-5567	392	20	u1	u1	PROPN
ejpam-5567	392	21	,	,	PUNCT
ejpam-5567	392	22	u2	u2	NOUN
ejpam-5567	392	23	,	,	PUNCT
ejpam-5567	392	24	u3	u3	NOUN
ejpam-5567	392	25	and	and	CCONJ
ejpam-5567	392	26	(	(	PUNCT
ejpam-5567	392	27	g	g	NOUN
ejpam-5567	392	28	,	,	PUNCT
ejpam-5567	392	29	e	e	NOUN
ejpam-5567	392	30	)	)	PUNCT
ejpam-5567	392	31	be	be	VERB
ejpam-5567	392	32	the	the	DET
ejpam-5567	392	33	ternary	ternary	ADJ
ejpam-5567	392	34	soft	soft	ADJ
ejpam-5567	392	35	set	set	NOUN
ejpam-5567	392	36	over	over	ADP
ejpam-5567	392	37	common	common	ADJ
ejpam-5567	392	38	universal	universal	ADJ
ejpam-5567	392	39	sets	set	NOUN
ejpam-5567	392	40	u1	u1	NOUN
ejpam-5567	392	41	,	,	PUNCT
ejpam-5567	392	42	u2	u2	NOUN
ejpam-5567	392	43	,	,	PUNCT
ejpam-5567	392	44	u3	u3	NOUN
ejpam-5567	392	45	.	.	PUNCT
ejpam-5567	393	1	then	then	ADV
ejpam-5567	393	2	the	the	DET
ejpam-5567	393	3	ternary	ternary	ADJ
ejpam-5567	393	4	soft	soft	ADJ
ejpam-5567	393	5	closure	closure	NOUN
ejpam-5567	393	6	of	of	ADP
ejpam-5567	393	7	(	(	PUNCT
ejpam-5567	393	8	g	g	NOUN
ejpam-5567	393	9	,	,	PUNCT
ejpam-5567	393	10	e	e	NOUN
ejpam-5567	393	11	)	)	PUNCT
ejpam-5567	393	12	,	,	PUNCT
ejpam-5567	393	13	denoted	denote	VERB
ejpam-5567	393	14	by	by	ADP
ejpam-5567	393	15	(	(	PUNCT
ejpam-5567	393	16	g	g	PROPN
ejpam-5567	393	17	,	,	PUNCT
ejpam-5567	393	18	e	e	NOUN
ejpam-5567	393	19	)	)	PUNCT
ejpam-5567	393	20	,	,	PUNCT
ejpam-5567	393	21	is	be	AUX
ejpam-5567	393	22	the	the	DET
ejpam-5567	393	23	intersection	intersection	NOUN
ejpam-5567	393	24	of	of	ADP
ejpam-5567	393	25	all	all	DET
ejpam-5567	393	26	ternary	ternary	ADJ
ejpam-5567	393	27	soft	soft	ADJ
ejpam-5567	393	28	closed	closed	ADJ
ejpam-5567	393	29	sets	set	NOUN
ejpam-5567	393	30	of	of	ADP
ejpam-5567	393	31	(	(	PUNCT
ejpam-5567	393	32	g	g	NOUN
ejpam-5567	393	33	,	,	PUNCT
ejpam-5567	393	34	e	e	NOUN
ejpam-5567	393	35	)	)	PUNCT
ejpam-5567	393	36	.	.	PUNCT
ejpam-5567	394	1	thus	thus	ADV
ejpam-5567	394	2	,	,	PUNCT
ejpam-5567	394	3	(	(	PUNCT
ejpam-5567	394	4	g	g	NOUN
ejpam-5567	394	5	,	,	PUNCT
ejpam-5567	394	6	e	e	NOUN
ejpam-5567	394	7	)	)	PUNCT
ejpam-5567	394	8	is	be	AUX
ejpam-5567	394	9	the	the	DET
ejpam-5567	394	10	smallest	small	ADJ
ejpam-5567	394	11	ternary	ternary	ADJ
ejpam-5567	394	12	soft	soft	ADJ
ejpam-5567	394	13	closed	closed	ADJ
ejpam-5567	394	14	set	set	VERB
ejpam-5567	394	15	over	over	ADP
ejpam-5567	394	16	u1	u1	NOUN
ejpam-5567	394	17	,	,	PUNCT
ejpam-5567	394	18	u2	u2	NOUN
ejpam-5567	394	19	,	,	PUNCT
ejpam-5567	394	20	u3	u3	NOUN
ejpam-5567	394	21	which	which	PRON
ejpam-5567	394	22	contains	contain	VERB
ejpam-5567	394	23	(	(	PUNCT
ejpam-5567	394	24	g	g	NOUN
ejpam-5567	394	25	,	,	PUNCT
ejpam-5567	394	26	e	e	NOUN
ejpam-5567	394	27	)	)	PUNCT
ejpam-5567	394	28	.	.	PUNCT
ejpam-5567	395	1	theorem	theorem	NOUN
ejpam-5567	395	2	2	2	NUM
ejpam-5567	395	3	.	.	PUNCT
ejpam-5567	396	1	let	let	AUX
ejpam-5567	396	2	(	(	PUNCT
ejpam-5567	396	3	u1	u1	NOUN
ejpam-5567	396	4	,	,	PUNCT
ejpam-5567	396	5	u2	u2	NOUN
ejpam-5567	396	6	,	,	PUNCT
ejpam-5567	396	7	u3	u3	NOUN
ejpam-5567	396	8	,	,	PUNCT
ejpam-5567	396	9	τ∆	τ∆	NOUN
ejpam-5567	396	10	,	,	PUNCT
ejpam-5567	396	11	e	e	X
ejpam-5567	396	12	)	)	PUNCT
ejpam-5567	396	13	be	be	AUX
ejpam-5567	396	14	a	a	DET
ejpam-5567	396	15	ternary	ternary	ADJ
ejpam-5567	396	16	soft	soft	ADJ
ejpam-5567	396	17	topological	topological	ADJ
ejpam-5567	396	18	space	space	NOUN
ejpam-5567	396	19	over	over	ADP
ejpam-5567	396	20	u1	u1	PROPN
ejpam-5567	396	21	,	,	PUNCT
ejpam-5567	396	22	u2	u2	NOUN
ejpam-5567	396	23	,	,	PUNCT
ejpam-5567	396	24	u3	u3	NOUN
ejpam-5567	396	25	and	and	CCONJ
ejpam-5567	396	26	let	let	VERB
ejpam-5567	396	27	(	(	PUNCT
ejpam-5567	396	28	h	h	NOUN
ejpam-5567	396	29	,	,	PUNCT
ejpam-5567	396	30	e	e	NOUN
ejpam-5567	396	31	)	)	PUNCT
ejpam-5567	396	32	,	,	PUNCT
ejpam-5567	396	33	(	(	PUNCT
ejpam-5567	396	34	î	î	X
ejpam-5567	396	35	,	,	PUNCT
ejpam-5567	396	36	e	e	X
ejpam-5567	396	37	)	)	PUNCT
ejpam-5567	396	38	be	be	AUX
ejpam-5567	396	39	ternary	ternary	ADJ
ejpam-5567	396	40	soft	soft	ADJ
ejpam-5567	396	41	sets	set	NOUN
ejpam-5567	396	42	over	over	ADP
ejpam-5567	396	43	u1	u1	NOUN
ejpam-5567	396	44	,	,	PUNCT
ejpam-5567	396	45	u2	u2	NOUN
ejpam-5567	396	46	,	,	PUNCT
ejpam-5567	396	47	u3	u3	NOUN
ejpam-5567	396	48	.	.	PUNCT
ejpam-5567	397	1	then	then	ADV
ejpam-5567	397	2	:	:	PUNCT
ejpam-5567	397	3	(	(	PUNCT
ejpam-5567	397	4	i	i	NOUN
ejpam-5567	397	5	)	)	PUNCT
ejpam-5567	397	6	˜̃∅	˜̃∅	PROPN
ejpam-5567	397	7	=	=	SYM
ejpam-5567	397	8	˜̃∅	˜̃∅	NOUN
ejpam-5567	397	9	and	and	CCONJ
ejpam-5567	397	10	˜̃	˜̃	NOUN
ejpam-5567	397	11	x	x	NOUN
ejpam-5567	397	12	=	=	NOUN
ejpam-5567	397	13	˜̃	˜̃	NOUN
ejpam-5567	397	14	x.	x.	NOUN
ejpam-5567	397	15	(	(	PUNCT
ejpam-5567	397	16	ii	ii	PROPN
ejpam-5567	397	17	)	)	PUNCT
ejpam-5567	397	18	(	(	PUNCT
ejpam-5567	397	19	h	h	NOUN
ejpam-5567	397	20	,	,	PUNCT
ejpam-5567	397	21	e	e	NOUN
ejpam-5567	397	22	)	)	PUNCT
ejpam-5567	397	23	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	397	24	,	,	PUNCT
ejpam-5567	397	25	e	e	NOUN
ejpam-5567	397	26	)	)	PUNCT
ejpam-5567	397	27	implies	imply	VERB
ejpam-5567	397	28	(	(	PUNCT
ejpam-5567	397	29	h	h	NOUN
ejpam-5567	397	30	,	,	PUNCT
ejpam-5567	397	31	e	e	NOUN
ejpam-5567	397	32	)	)	PUNCT
ejpam-5567	397	33	is	be	AUX
ejpam-5567	397	34	a	a	DET
ejpam-5567	397	35	ternary	ternary	ADJ
ejpam-5567	397	36	soft	soft	ADJ
ejpam-5567	397	37	closed	closed	ADJ
ejpam-5567	397	38	set	set	VERB
ejpam-5567	397	39	and	and	CCONJ
ejpam-5567	397	40	(	(	PUNCT
ejpam-5567	397	41	h	h	NOUN
ejpam-5567	397	42	,	,	PUNCT
ejpam-5567	397	43	e	e	NOUN
ejpam-5567	397	44	)	)	PUNCT
ejpam-5567	397	45	contains	contain	VERB
ejpam-5567	397	46	(	(	PUNCT
ejpam-5567	397	47	h	h	NOUN
ejpam-5567	397	48	,	,	PUNCT
ejpam-5567	397	49	e	e	NOUN
ejpam-5567	397	50	)	)	PUNCT
ejpam-5567	397	51	.	.	PUNCT
ejpam-5567	398	1	(	(	PUNCT
ejpam-5567	398	2	iii	iii	X
ejpam-5567	398	3	)	)	PUNCT
ejpam-5567	398	4	(	(	PUNCT
ejpam-5567	398	5	h	h	NOUN
ejpam-5567	398	6	,	,	PUNCT
ejpam-5567	398	7	e	e	NOUN
ejpam-5567	398	8	)	)	PUNCT
ejpam-5567	398	9	is	be	AUX
ejpam-5567	398	10	a	a	DET
ejpam-5567	398	11	ternary	ternary	ADJ
ejpam-5567	398	12	soft	soft	ADJ
ejpam-5567	398	13	closed	closed	ADJ
ejpam-5567	398	14	set	set	NOUN
ejpam-5567	398	15	if	if	SCONJ
ejpam-5567	398	16	and	and	CCONJ
ejpam-5567	398	17	only	only	ADV
ejpam-5567	398	18	if	if	SCONJ
ejpam-5567	398	19	(	(	PUNCT
ejpam-5567	398	20	h	h	NOUN
ejpam-5567	398	21	,	,	PUNCT
ejpam-5567	398	22	e	e	NOUN
ejpam-5567	398	23	)	)	PUNCT
ejpam-5567	398	24	˜̃≈(h	˜̃≈(h	NOUN
ejpam-5567	398	25	,	,	PUNCT
ejpam-5567	398	26	e	e	NOUN
ejpam-5567	398	27	)	)	PUNCT
ejpam-5567	398	28	.	.	PUNCT
ejpam-5567	399	1	(	(	PUNCT
ejpam-5567	399	2	iv	iv	X
ejpam-5567	399	3	)	)	PUNCT
ejpam-5567	399	4	(	(	PUNCT
ejpam-5567	399	5	h	h	NOUN
ejpam-5567	399	6	,	,	PUNCT
ejpam-5567	399	7	e	e	NOUN
ejpam-5567	399	8	)	)	PUNCT
ejpam-5567	399	9	=	=	SYM
ejpam-5567	399	10	(	(	PUNCT
ejpam-5567	399	11	h	h	NOUN
ejpam-5567	399	12	,	,	PUNCT
ejpam-5567	399	13	e	e	NOUN
ejpam-5567	399	14	)	)	PUNCT
ejpam-5567	399	15	.	.	PUNCT
ejpam-5567	400	1	(	(	PUNCT
ejpam-5567	400	2	v	v	NOUN
ejpam-5567	400	3	)	)	PUNCT
ejpam-5567	400	4	(	(	PUNCT
ejpam-5567	400	5	h	h	NOUN
ejpam-5567	400	6	,	,	PUNCT
ejpam-5567	400	7	e	e	NOUN
ejpam-5567	400	8	)	)	PUNCT
ejpam-5567	401	1	˜̃⊆(î	˜̃⊆(î	PROPN
ejpam-5567	401	2	,	,	PUNCT
ejpam-5567	401	3	e	e	NOUN
ejpam-5567	401	4	)	)	PUNCT
ejpam-5567	401	5	implies	imply	VERB
ejpam-5567	401	6	(	(	PUNCT
ejpam-5567	401	7	h	h	NOUN
ejpam-5567	401	8	,	,	PUNCT
ejpam-5567	401	9	e	e	NOUN
ejpam-5567	401	10	)	)	PUNCT
ejpam-5567	401	11	˜̃⊆(î	˜̃⊆(î	PROPN
ejpam-5567	401	12	,	,	PUNCT
ejpam-5567	401	13	e	e	NOUN
ejpam-5567	401	14	)	)	PUNCT
ejpam-5567	401	15	.	.	PUNCT
ejpam-5567	402	1	(	(	PUNCT
ejpam-5567	402	2	vi	vi	X
ejpam-5567	402	3	)	)	PUNCT
ejpam-5567	402	4	(	(	PUNCT
ejpam-5567	402	5	h	h	NOUN
ejpam-5567	402	6	,	,	PUNCT
ejpam-5567	402	7	e)˜̃∪(î	e)˜̃∪(î	PROPN
ejpam-5567	402	8	,	,	PUNCT
ejpam-5567	402	9	e	e	NOUN
ejpam-5567	402	10	)	)	PUNCT
ejpam-5567	402	11	=	=	SYM
ejpam-5567	402	12	(	(	PUNCT
ejpam-5567	402	13	h	h	NOUN
ejpam-5567	402	14	,	,	PUNCT
ejpam-5567	402	15	e)˜̃∪(î	e)˜̃∪(î	PROPN
ejpam-5567	402	16	,	,	PUNCT
ejpam-5567	402	17	e	e	NOUN
ejpam-5567	402	18	)	)	PUNCT
ejpam-5567	402	19	.	.	PUNCT
ejpam-5567	403	1	(	(	PUNCT
ejpam-5567	403	2	vii	vii	PROPN
ejpam-5567	403	3	)	)	PUNCT
ejpam-5567	403	4	(	(	PUNCT
ejpam-5567	403	5	h	h	NOUN
ejpam-5567	403	6	,	,	PUNCT
ejpam-5567	403	7	e)˜̃∩(î	e)˜̃∩(î	PROPN
ejpam-5567	403	8	,	,	PUNCT
ejpam-5567	403	9	e	e	X
ejpam-5567	403	10	)	)	PUNCT
ejpam-5567	403	11	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	403	12	,	,	PUNCT
ejpam-5567	403	13	e)˜̃∩(î	e)˜̃∩(î	PROPN
ejpam-5567	403	14	,	,	PUNCT
ejpam-5567	403	15	e	e	NOUN
ejpam-5567	403	16	)	)	PUNCT
ejpam-5567	403	17	.	.	PUNCT
ejpam-5567	404	1	proof	proof	NOUN
ejpam-5567	404	2	.	.	PUNCT
ejpam-5567	405	1	(	(	PUNCT
ejpam-5567	405	2	i	i	NOUN
ejpam-5567	405	3	)	)	PUNCT
ejpam-5567	405	4	this	this	PRON
ejpam-5567	405	5	is	be	AUX
ejpam-5567	405	6	obvious	obvious	ADJ
ejpam-5567	405	7	.	.	PUNCT
ejpam-5567	406	1	(	(	PUNCT
ejpam-5567	406	2	ii	ii	NOUN
ejpam-5567	406	3	)	)	PUNCT
ejpam-5567	406	4	let	let	VERB
ejpam-5567	406	5	{	{	PUNCT
ejpam-5567	406	6	(	(	PUNCT
ejpam-5567	406	7	hi	hi	INTJ
ejpam-5567	406	8	,	,	PUNCT
ejpam-5567	406	9	e	e	NOUN
ejpam-5567	406	10	)	)	PUNCT
ejpam-5567	407	1	|	|	ADV
ejpam-5567	407	2	i	i	PRON
ejpam-5567	407	3	∈	∈	PROPN
ejpam-5567	407	4	î	î	PRON
ejpam-5567	407	5	}	}	PUNCT
ejpam-5567	407	6	be	be	VERB
ejpam-5567	407	7	the	the	DET
ejpam-5567	407	8	family	family	NOUN
ejpam-5567	407	9	of	of	ADP
ejpam-5567	407	10	all	all	DET
ejpam-5567	407	11	the	the	DET
ejpam-5567	407	12	ternary	ternary	ADJ
ejpam-5567	407	13	closed	closed	ADJ
ejpam-5567	407	14	sets	set	NOUN
ejpam-5567	407	15	containing	contain	VERB
ejpam-5567	407	16	(	(	PUNCT
ejpam-5567	407	17	h	h	NOUN
ejpam-5567	407	18	,	,	PUNCT
ejpam-5567	407	19	e	e	NOUN
ejpam-5567	407	20	)	)	PUNCT
ejpam-5567	407	21	.	.	PUNCT
ejpam-5567	408	1	then	then	ADV
ejpam-5567	408	2	,	,	PUNCT
ejpam-5567	408	3	by	by	ADP
ejpam-5567	408	4	definition	definition	NOUN
ejpam-5567	408	5	,	,	PUNCT
ejpam-5567	408	6	we	we	PRON
ejpam-5567	408	7	know	know	VERB
ejpam-5567	408	8	that	that	PRON
ejpam-5567	408	9	:	:	PUNCT
ejpam-5567	408	10	(	(	PUNCT
ejpam-5567	408	11	h	h	NOUN
ejpam-5567	408	12	,	,	PUNCT
ejpam-5567	408	13	e)˜̃∩	e)˜̃∩	X
ejpam-5567	408	14	∈	∈	PROPN
ejpam-5567	408	15	î(hi	î(hi	PROPN
ejpam-5567	408	16	,	,	PUNCT
ejpam-5567	408	17	e	e	NOUN
ejpam-5567	408	18	)	)	PUNCT
ejpam-5567	408	19	→	→	SYM
ejpam-5567	408	20	(	(	PUNCT
ejpam-5567	408	21	1	1	NUM
ejpam-5567	408	22	)	)	PUNCT
ejpam-5567	408	23	.	.	PUNCT
ejpam-5567	409	1	now	now	ADV
ejpam-5567	409	2	,	,	PUNCT
ejpam-5567	409	3	since	since	SCONJ
ejpam-5567	409	4	{	{	PUNCT
ejpam-5567	409	5	(	(	PUNCT
ejpam-5567	409	6	hi	hi	INTJ
ejpam-5567	409	7	,	,	PUNCT
ejpam-5567	409	8	e	e	NOUN
ejpam-5567	409	9	)	)	PUNCT
ejpam-5567	409	10	|	|	ADV
ejpam-5567	409	11	i	i	PRON
ejpam-5567	409	12	∈	∈	PROPN
ejpam-5567	409	13	î	î	PRON
ejpam-5567	409	14	}	}	PUNCT
ejpam-5567	409	15	is	be	AUX
ejpam-5567	409	16	a	a	DET
ejpam-5567	409	17	ternary	ternary	ADJ
ejpam-5567	409	18	soft	soft	ADJ
ejpam-5567	409	19	closed	closed	ADJ
ejpam-5567	409	20	set	set	NOUN
ejpam-5567	409	21	∀	∀	PUNCT
ejpam-5567	410	1	i	i	PRON
ejpam-5567	410	2	∈	∈	VERB
ejpam-5567	410	3	i	i	PRON
ejpam-5567	410	4	⇒	⇒	VERB
ejpam-5567	410	5	˜̃∩i	˜̃∩i	ADV
ejpam-5567	411	1	∈	∈	PROPN
ejpam-5567	411	2	î(hi	î(hi	PROPN
ejpam-5567	411	3	,	,	PUNCT
ejpam-5567	411	4	e	e	NOUN
ejpam-5567	411	5	)	)	PUNCT
ejpam-5567	411	6	is	be	AUX
ejpam-5567	411	7	also	also	ADV
ejpam-5567	411	8	a	a	DET
ejpam-5567	411	9	ternary	ternary	ADJ
ejpam-5567	411	10	soft	soft	ADJ
ejpam-5567	411	11	closed	closed	ADJ
ejpam-5567	411	12	set	set	NOUN
ejpam-5567	411	13	.	.	PUNCT
ejpam-5567	412	1	since	since	SCONJ
ejpam-5567	412	2	an	an	DET
ejpam-5567	412	3	arbitrary	arbitrary	ADJ
ejpam-5567	412	4	intersection	intersection	NOUN
ejpam-5567	412	5	of	of	ADP
ejpam-5567	412	6	ternary	ternary	ADJ
ejpam-5567	412	7	soft	soft	ADJ
ejpam-5567	412	8	closed	closed	ADJ
ejpam-5567	412	9	sets	set	NOUN
ejpam-5567	412	10	is	be	AUX
ejpam-5567	412	11	a	a	DET
ejpam-5567	412	12	ternary	ternary	ADJ
ejpam-5567	412	13	soft	soft	ADJ
ejpam-5567	412	14	closed	closed	ADJ
ejpam-5567	412	15	set	set	NOUN
ejpam-5567	412	16	,	,	PUNCT
ejpam-5567	412	17	(	(	PUNCT
ejpam-5567	412	18	h	h	NOUN
ejpam-5567	412	19	,	,	PUNCT
ejpam-5567	412	20	e	e	NOUN
ejpam-5567	412	21	)	)	PUNCT
ejpam-5567	412	22	is	be	AUX
ejpam-5567	412	23	a	a	DET
ejpam-5567	412	24	ternary	ternary	ADJ
ejpam-5567	412	25	soft	soft	ADJ
ejpam-5567	412	26	closed	closed	ADJ
ejpam-5567	412	27	set	set	NOUN
ejpam-5567	412	28	(	(	PUNCT
ejpam-5567	412	29	from(1	from(1	NOUN
ejpam-5567	412	30	)	)	PUNCT
ejpam-5567	412	31	)	)	PUNCT
ejpam-5567	412	32	.	.	PUNCT
ejpam-5567	413	1	⇒	⇒	PROPN
ejpam-5567	413	2	thus	thus	ADV
ejpam-5567	413	3	,	,	PUNCT
ejpam-5567	413	4	(	(	PUNCT
ejpam-5567	413	5	h	h	NOUN
ejpam-5567	413	6	,	,	PUNCT
ejpam-5567	413	7	e	e	NOUN
ejpam-5567	413	8	)	)	PUNCT
ejpam-5567	413	9	is	be	AUX
ejpam-5567	413	10	a	a	DET
ejpam-5567	413	11	ternary	ternary	ADJ
ejpam-5567	413	12	soft	soft	ADJ
ejpam-5567	413	13	closed	closed	ADJ
ejpam-5567	413	14	set	set	NOUN
ejpam-5567	413	15	.	.	PUNCT
ejpam-5567	414	1	now	now	ADV
ejpam-5567	414	2	,	,	PUNCT
ejpam-5567	414	3	we	we	PRON
ejpam-5567	414	4	prove	prove	VERB
ejpam-5567	414	5	that	that	SCONJ
ejpam-5567	414	6	(	(	PUNCT
ejpam-5567	414	7	h	h	NOUN
ejpam-5567	414	8	,	,	PUNCT
ejpam-5567	414	9	e	e	NOUN
ejpam-5567	414	10	)	)	PUNCT
ejpam-5567	414	11	˜̃⊇(h	˜̃⊇(h	PUNCT
ejpam-5567	414	12	,	,	PUNCT
ejpam-5567	414	13	e	e	NOUN
ejpam-5567	414	14	)	)	PUNCT
ejpam-5567	414	15	.	.	PUNCT
ejpam-5567	415	1	we	we	PRON
ejpam-5567	415	2	know	know	VERB
ejpam-5567	415	3	that	that	SCONJ
ejpam-5567	415	4	∀	∀	PUNCT
ejpam-5567	416	1	i	i	PRON
ejpam-5567	416	2	∈	∈	VERB
ejpam-5567	417	1	i	i	PRON
ejpam-5567	417	2	,	,	PUNCT
ejpam-5567	417	3	{	{	PUNCT
ejpam-5567	417	4	(	(	PUNCT
ejpam-5567	417	5	hi	hi	INTJ
ejpam-5567	417	6	,	,	PUNCT
ejpam-5567	417	7	e	e	NOUN
ejpam-5567	417	8	)	)	PUNCT
ejpam-5567	418	1	|	|	ADV
ejpam-5567	418	2	i	i	PRON
ejpam-5567	418	3	∈	∈	PROPN
ejpam-5567	418	4	î	î	PRON
ejpam-5567	418	5	}	}	PUNCT
ejpam-5567	418	6	˜̃⊇(h	˜̃⊇(h	PUNCT
ejpam-5567	418	7	,	,	PUNCT
ejpam-5567	418	8	e	e	NOUN
ejpam-5567	418	9	)	)	PUNCT
ejpam-5567	418	10	.	.	PUNCT
ejpam-5567	419	1	m.	m.	NOUN
ejpam-5567	419	2	nawaz	nawaz	PROPN
ejpam-5567	419	3	et	et	PROPN
ejpam-5567	419	4	al	al	PROPN
ejpam-5567	419	5	.	.	PUNCT
ejpam-5567	419	6	/	/	SYM
ejpam-5567	419	7	eur	eur	PROPN
ejpam-5567	419	8	.	.	PUNCT
ejpam-5567	420	1	j.	j.	PROPN
ejpam-5567	420	2	pure	pure	PROPN
ejpam-5567	420	3	appl	appl	PROPN
ejpam-5567	420	4	.	.	PROPN
ejpam-5567	420	5	math	math	PROPN
ejpam-5567	420	6	,	,	PUNCT
ejpam-5567	420	7	18	18	NUM
ejpam-5567	420	8	(	(	PUNCT
ejpam-5567	420	9	1	1	NUM
ejpam-5567	420	10	)	)	PUNCT
ejpam-5567	420	11	(	(	PUNCT
ejpam-5567	420	12	2025	2025	NUM
ejpam-5567	420	13	)	)	PUNCT
ejpam-5567	420	14	,	,	PUNCT
ejpam-5567	420	15	5567	5567	NUM
ejpam-5567	420	16	20	20	NUM
ejpam-5567	420	17	of	of	ADP
ejpam-5567	420	18	45	45	NUM
ejpam-5567	420	19	⇒	⇒	NOUN
ejpam-5567	420	20	(	(	PUNCT
ejpam-5567	420	21	h	h	NOUN
ejpam-5567	420	22	,	,	PUNCT
ejpam-5567	420	23	e	e	NOUN
ejpam-5567	420	24	)	)	PUNCT
ejpam-5567	421	1	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	421	2	˜̃∩i	˜̃∩i	PUNCT
ejpam-5567	421	3	∈	∈	PROPN
ejpam-5567	421	4	î	î	X
ejpam-5567	421	5	(	(	PUNCT
ejpam-5567	421	6	hi	hi	INTJ
ejpam-5567	421	7	,	,	PUNCT
ejpam-5567	421	8	e	e	NOUN
ejpam-5567	421	9	)	)	PUNCT
ejpam-5567	421	10	=	=	NOUN
ejpam-5567	421	11	⇒	⇒	NOUN
ejpam-5567	421	12	(	(	PUNCT
ejpam-5567	421	13	h	h	NOUN
ejpam-5567	421	14	,	,	PUNCT
ejpam-5567	421	15	e	e	NOUN
ejpam-5567	421	16	)	)	PUNCT
ejpam-5567	421	17	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	421	18	(	(	PUNCT
ejpam-5567	421	19	h	h	NOUN
ejpam-5567	421	20	,	,	PUNCT
ejpam-5567	421	21	e	e	NOUN
ejpam-5567	421	22	)	)	PUNCT
ejpam-5567	422	1	[	[	X
ejpam-5567	422	2	using(1	using(1	ADJ
ejpam-5567	422	3	)	)	PUNCT
ejpam-5567	422	4	]	]	PUNCT
ejpam-5567	422	5	⇒	⇒	NOUN
ejpam-5567	422	6	(	(	PUNCT
ejpam-5567	422	7	h	h	NOUN
ejpam-5567	422	8	,	,	PUNCT
ejpam-5567	422	9	e	e	NOUN
ejpam-5567	422	10	)	)	PUNCT
ejpam-5567	422	11	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	422	12	,	,	PUNCT
ejpam-5567	422	13	e	e	NOUN
ejpam-5567	422	14	)	)	PUNCT
ejpam-5567	422	15	thus	thus	ADV
ejpam-5567	422	16	(	(	PUNCT
ejpam-5567	422	17	h	h	NOUN
ejpam-5567	422	18	,	,	PUNCT
ejpam-5567	422	19	e	e	NOUN
ejpam-5567	422	20	)	)	PUNCT
ejpam-5567	422	21	contains	contain	VERB
ejpam-5567	422	22	(	(	PUNCT
ejpam-5567	422	23	h	h	NOUN
ejpam-5567	422	24	,	,	PUNCT
ejpam-5567	422	25	e	e	NOUN
ejpam-5567	422	26	)	)	PUNCT
ejpam-5567	422	27	.	.	PUNCT
ejpam-5567	423	1	hence	hence	ADV
ejpam-5567	423	2	,	,	PUNCT
ejpam-5567	423	3	(	(	PUNCT
ejpam-5567	423	4	h	h	NOUN
ejpam-5567	423	5	,	,	PUNCT
ejpam-5567	423	6	e	e	NOUN
ejpam-5567	423	7	)	)	PUNCT
ejpam-5567	423	8	is	be	AUX
ejpam-5567	423	9	a	a	DET
ejpam-5567	423	10	ternary	ternary	ADJ
ejpam-5567	423	11	soft	soft	ADJ
ejpam-5567	423	12	closed	closed	ADJ
ejpam-5567	423	13	set	set	VERB
ejpam-5567	423	14	and	and	CCONJ
ejpam-5567	423	15	(	(	PUNCT
ejpam-5567	423	16	h	h	NOUN
ejpam-5567	423	17	,	,	PUNCT
ejpam-5567	423	18	e	e	NOUN
ejpam-5567	423	19	)	)	PUNCT
ejpam-5567	423	20	contains	contain	VERB
ejpam-5567	423	21	(	(	PUNCT
ejpam-5567	423	22	h	h	NOUN
ejpam-5567	423	23	,	,	PUNCT
ejpam-5567	423	24	e	e	NOUN
ejpam-5567	423	25	)	)	PUNCT
ejpam-5567	423	26	.	.	PUNCT
ejpam-5567	424	1	(	(	PUNCT
ejpam-5567	424	2	iii	iii	X
ejpam-5567	424	3	)	)	PUNCT
ejpam-5567	424	4	let	let	VERB
ejpam-5567	424	5	(	(	PUNCT
ejpam-5567	424	6	h	h	NOUN
ejpam-5567	424	7	,	,	PUNCT
ejpam-5567	424	8	e	e	NOUN
ejpam-5567	424	9	)	)	PUNCT
ejpam-5567	424	10	be	be	AUX
ejpam-5567	424	11	a	a	DET
ejpam-5567	424	12	ternary	ternary	ADJ
ejpam-5567	424	13	soft	soft	ADJ
ejpam-5567	424	14	set	set	NOUN
ejpam-5567	424	15	.	.	PUNCT
ejpam-5567	425	1	to	to	PART
ejpam-5567	425	2	prove	prove	VERB
ejpam-5567	425	3	(	(	PUNCT
ejpam-5567	425	4	h	h	NOUN
ejpam-5567	425	5	,	,	PUNCT
ejpam-5567	425	6	e	e	NOUN
ejpam-5567	425	7	)	)	PUNCT
ejpam-5567	425	8	=	=	SYM
ejpam-5567	425	9	(	(	PUNCT
ejpam-5567	425	10	h	h	NOUN
ejpam-5567	425	11	,	,	PUNCT
ejpam-5567	425	12	e	e	NOUN
ejpam-5567	425	13	)	)	PUNCT
ejpam-5567	425	14	,	,	PUNCT
ejpam-5567	425	15	suppose	suppose	VERB
ejpam-5567	425	16	(	(	PUNCT
ejpam-5567	425	17	h	h	NOUN
ejpam-5567	425	18	,	,	PUNCT
ejpam-5567	425	19	e	e	NOUN
ejpam-5567	425	20	)	)	PUNCT
ejpam-5567	425	21	is	be	AUX
ejpam-5567	425	22	a	a	DET
ejpam-5567	425	23	ternary	ternary	ADJ
ejpam-5567	425	24	soft	soft	ADJ
ejpam-5567	425	25	closed	closed	ADJ
ejpam-5567	425	26	set	set	NOUN
ejpam-5567	425	27	.	.	PUNCT
ejpam-5567	426	1	now	now	ADV
ejpam-5567	426	2	,	,	PUNCT
ejpam-5567	426	3	we	we	PRON
ejpam-5567	426	4	have	have	VERB
ejpam-5567	426	5	(	(	PUNCT
ejpam-5567	426	6	h	h	NOUN
ejpam-5567	426	7	,	,	PUNCT
ejpam-5567	426	8	e	e	NOUN
ejpam-5567	426	9	)	)	PUNCT
ejpam-5567	426	10	˜̃⊇(h	˜̃⊇(h	PUNCT
ejpam-5567	426	11	,	,	PUNCT
ejpam-5567	426	12	e	e	NOUN
ejpam-5567	426	13	)	)	PUNCT
ejpam-5567	426	14	,	,	PUNCT
ejpam-5567	426	15	so	so	CCONJ
ejpam-5567	426	16	(	(	PUNCT
ejpam-5567	426	17	h	h	NOUN
ejpam-5567	426	18	,	,	PUNCT
ejpam-5567	426	19	e	e	NOUN
ejpam-5567	426	20	)	)	PUNCT
ejpam-5567	426	21	is	be	AUX
ejpam-5567	426	22	a	a	DET
ejpam-5567	426	23	<	<	X
ejpam-5567	426	24	<	<	X
ejpam-5567	426	25	(	(	PUNCT
ejpam-5567	426	26	t	t	PROPN
ejpam-5567	426	27	,	,	PUNCT
ejpam-5567	426	28	s	s	PROPN
ejpam-5567	426	29	)	)	PUNCT
ejpam-5567	426	30	>	>	PUNCT
ejpam-5567	426	31	>	>	X
ejpam-5567	426	32	closed	close	VERB
ejpam-5567	426	33	set	set	NOUN
ejpam-5567	426	34	containing	contain	VERB
ejpam-5567	426	35	(	(	PUNCT
ejpam-5567	426	36	h	h	NOUN
ejpam-5567	426	37	,	,	PUNCT
ejpam-5567	426	38	e	e	NOUN
ejpam-5567	426	39	)	)	PUNCT
ejpam-5567	426	40	→	→	SYM
ejpam-5567	426	41	(	(	PUNCT
ejpam-5567	426	42	1	1	NUM
ejpam-5567	426	43	)	)	PUNCT
ejpam-5567	426	44	.	.	PUNCT
ejpam-5567	427	1	but	but	CCONJ
ejpam-5567	427	2	(	(	PUNCT
ejpam-5567	427	3	h	h	NOUN
ejpam-5567	427	4	,	,	PUNCT
ejpam-5567	427	5	e	e	NOUN
ejpam-5567	427	6	)	)	PUNCT
ejpam-5567	427	7	is	be	AUX
ejpam-5567	427	8	the	the	DET
ejpam-5567	427	9	smallest	small	ADJ
ejpam-5567	427	10	ternary	ternary	ADJ
ejpam-5567	427	11	soft	soft	ADJ
ejpam-5567	427	12	closed	closed	ADJ
ejpam-5567	427	13	set	set	NOUN
ejpam-5567	427	14	containing	contain	VERB
ejpam-5567	427	15	(	(	PUNCT
ejpam-5567	427	16	h	h	NOUN
ejpam-5567	427	17	,	,	PUNCT
ejpam-5567	427	18	e	e	NOUN
ejpam-5567	427	19	)	)	PUNCT
ejpam-5567	427	20	→	→	SYM
ejpam-5567	427	21	(	(	PUNCT
ejpam-5567	427	22	2	2	NUM
ejpam-5567	427	23	)	)	PUNCT
ejpam-5567	427	24	.	.	PUNCT
ejpam-5567	428	1	therefore	therefore	ADV
ejpam-5567	428	2	from	from	ADP
ejpam-5567	428	3	(	(	PUNCT
ejpam-5567	428	4	1	1	NUM
ejpam-5567	428	5	)	)	PUNCT
ejpam-5567	428	6	and	and	CCONJ
ejpam-5567	428	7	(	(	PUNCT
ejpam-5567	428	8	2	2	NUM
ejpam-5567	428	9	)	)	PUNCT
ejpam-5567	428	10	,	,	PUNCT
ejpam-5567	428	11	it	it	PRON
ejpam-5567	428	12	follows	follow	VERB
ejpam-5567	428	13	that	that	SCONJ
ejpam-5567	428	14	(	(	PUNCT
ejpam-5567	428	15	h	h	NOUN
ejpam-5567	428	16	,	,	PUNCT
ejpam-5567	428	17	e	e	NOUN
ejpam-5567	428	18	)	)	PUNCT
ejpam-5567	428	19	is	be	AUX
ejpam-5567	428	20	smaller	small	ADJ
ejpam-5567	428	21	then	then	ADV
ejpam-5567	428	22	(	(	PUNCT
ejpam-5567	428	23	h	h	NOUN
ejpam-5567	428	24	,	,	PUNCT
ejpam-5567	428	25	e	e	NOUN
ejpam-5567	428	26	)	)	PUNCT
ejpam-5567	428	27	that	that	PRON
ejpam-5567	428	28	is	is	ADV
ejpam-5567	428	29	(	(	PUNCT
ejpam-5567	428	30	h	h	NOUN
ejpam-5567	428	31	,	,	PUNCT
ejpam-5567	428	32	e	e	NOUN
ejpam-5567	428	33	)	)	PUNCT
ejpam-5567	428	34	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	428	35	,	,	PUNCT
ejpam-5567	428	36	e	e	NOUN
ejpam-5567	428	37	)	)	PUNCT
ejpam-5567	428	38	.	.	PUNCT
ejpam-5567	429	1	but	but	CCONJ
ejpam-5567	429	2	from	from	ADP
ejpam-5567	429	3	from	from	ADP
ejpam-5567	429	4	(	(	PUNCT
ejpam-5567	429	5	ii	ii	NOUN
ejpam-5567	429	6	)	)	PUNCT
ejpam-5567	429	7	of	of	ADP
ejpam-5567	429	8	this	this	DET
ejpam-5567	429	9	theorem	theorem	NOUN
ejpam-5567	429	10	,	,	PUNCT
ejpam-5567	429	11	we	we	PRON
ejpam-5567	429	12	have	have	AUX
ejpam-5567	429	13	(	(	PUNCT
ejpam-5567	429	14	h	h	NOUN
ejpam-5567	429	15	,	,	PUNCT
ejpam-5567	429	16	e	e	NOUN
ejpam-5567	429	17	)	)	PUNCT
ejpam-5567	429	18	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	429	19	,	,	PUNCT
ejpam-5567	429	20	e	e	NOUN
ejpam-5567	429	21	)	)	PUNCT
ejpam-5567	429	22	is	be	AUX
ejpam-5567	429	23	always	always	ADV
ejpam-5567	429	24	true	true	ADJ
ejpam-5567	429	25	.	.	PUNCT
ejpam-5567	430	1	therefore	therefore	ADV
ejpam-5567	430	2	we	we	PRON
ejpam-5567	430	3	have	have	VERB
ejpam-5567	430	4	(	(	PUNCT
ejpam-5567	430	5	h	h	NOUN
ejpam-5567	430	6	,	,	PUNCT
ejpam-5567	430	7	e	e	NOUN
ejpam-5567	430	8	)	)	PUNCT
ejpam-5567	430	9	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	430	10	,	,	PUNCT
ejpam-5567	430	11	e	e	NOUN
ejpam-5567	430	12	)	)	PUNCT
ejpam-5567	430	13	.	.	PUNCT
ejpam-5567	431	1	thus	thus	ADV
ejpam-5567	431	2	(	(	PUNCT
ejpam-5567	431	3	h	h	NOUN
ejpam-5567	431	4	,	,	PUNCT
ejpam-5567	431	5	e	e	NOUN
ejpam-5567	431	6	)	)	PUNCT
ejpam-5567	431	7	=	=	SYM
ejpam-5567	431	8	(	(	PUNCT
ejpam-5567	431	9	h	h	NOUN
ejpam-5567	431	10	,	,	PUNCT
ejpam-5567	431	11	e	e	NOUN
ejpam-5567	431	12	)	)	PUNCT
ejpam-5567	431	13	.	.	PUNCT
ejpam-5567	432	1	consequently	consequently	ADV
ejpam-5567	432	2	,	,	PUNCT
ejpam-5567	432	3	if	if	SCONJ
ejpam-5567	432	4	(	(	PUNCT
ejpam-5567	432	5	h	h	NOUN
ejpam-5567	432	6	,	,	PUNCT
ejpam-5567	432	7	e	e	NOUN
ejpam-5567	432	8	)	)	PUNCT
ejpam-5567	432	9	is	be	AUX
ejpam-5567	432	10	a	a	DET
ejpam-5567	432	11	ternary	ternary	ADJ
ejpam-5567	432	12	soft	soft	ADJ
ejpam-5567	432	13	closed	closed	ADJ
ejpam-5567	432	14	set	set	NOUN
ejpam-5567	432	15	then	then	ADV
ejpam-5567	432	16	(	(	PUNCT
ejpam-5567	432	17	h	h	NOUN
ejpam-5567	432	18	,	,	PUNCT
ejpam-5567	432	19	e	e	NOUN
ejpam-5567	432	20	)	)	PUNCT
ejpam-5567	432	21	=	=	SYM
ejpam-5567	432	22	(	(	PUNCT
ejpam-5567	432	23	h	h	NOUN
ejpam-5567	432	24	,	,	PUNCT
ejpam-5567	432	25	e	e	NOUN
ejpam-5567	432	26	)	)	PUNCT
ejpam-5567	432	27	.	.	PUNCT
ejpam-5567	433	1	(	(	PUNCT
ejpam-5567	433	2	iv	iv	X
ejpam-5567	433	3	)	)	PUNCT
ejpam-5567	433	4	since	since	SCONJ
ejpam-5567	433	5	(	(	PUNCT
ejpam-5567	433	6	h	h	NOUN
ejpam-5567	433	7	,	,	PUNCT
ejpam-5567	433	8	e	e	NOUN
ejpam-5567	433	9	)	)	PUNCT
ejpam-5567	433	10	is	be	AUX
ejpam-5567	433	11	a	a	DET
ejpam-5567	433	12	ternary	ternary	ADJ
ejpam-5567	433	13	soft	soft	ADJ
ejpam-5567	433	14	closed	closed	ADJ
ejpam-5567	433	15	set	set	NOUN
ejpam-5567	433	16	,	,	PUNCT
ejpam-5567	433	17	therefore	therefore	ADV
ejpam-5567	433	18	by	by	ADP
ejpam-5567	433	19	(	(	PUNCT
ejpam-5567	433	20	iii	iii	NOUN
ejpam-5567	433	21	)	)	PUNCT
ejpam-5567	433	22	,	,	PUNCT
ejpam-5567	433	23	we	we	PRON
ejpam-5567	433	24	have	have	VERB
ejpam-5567	433	25	(	(	PUNCT
ejpam-5567	433	26	h	h	NOUN
ejpam-5567	433	27	,	,	PUNCT
ejpam-5567	433	28	e	e	NOUN
ejpam-5567	433	29	=	=	SYM
ejpam-5567	433	30	(	(	PUNCT
ejpam-5567	433	31	h	h	NOUN
ejpam-5567	433	32	,	,	PUNCT
ejpam-5567	433	33	e	e	NOUN
ejpam-5567	433	34	)	)	PUNCT
ejpam-5567	433	35	.	.	PUNCT
ejpam-5567	434	1	(	(	PUNCT
ejpam-5567	434	2	v	v	NOUN
ejpam-5567	434	3	)	)	PUNCT
ejpam-5567	434	4	if	if	SCONJ
ejpam-5567	434	5	(	(	PUNCT
ejpam-5567	434	6	h	h	NOUN
ejpam-5567	434	7	,	,	PUNCT
ejpam-5567	434	8	e	e	NOUN
ejpam-5567	434	9	)	)	PUNCT
ejpam-5567	434	10	˜̃⊆(î	˜̃⊆(î	PROPN
ejpam-5567	434	11	,	,	PUNCT
ejpam-5567	434	12	e	e	PROPN
ejpam-5567	434	13	)	)	PUNCT
ejpam-5567	434	14	,	,	PUNCT
ejpam-5567	434	15	then	then	ADV
ejpam-5567	434	16	(	(	PUNCT
ejpam-5567	434	17	h	h	NOUN
ejpam-5567	434	18	,	,	PUNCT
ejpam-5567	434	19	e	e	NOUN
ejpam-5567	434	20	)	)	PUNCT
ejpam-5567	434	21	˜̃⊆(î	˜̃⊆(î	PROPN
ejpam-5567	434	22	,	,	PUNCT
ejpam-5567	434	23	e	e	NOUN
ejpam-5567	434	24	)	)	PUNCT
ejpam-5567	434	25	.	.	PUNCT
ejpam-5567	435	1	suppose	suppose	VERB
ejpam-5567	435	2	(	(	PUNCT
ejpam-5567	435	3	h	h	NOUN
ejpam-5567	435	4	,	,	PUNCT
ejpam-5567	435	5	e	e	NOUN
ejpam-5567	435	6	)	)	PUNCT
ejpam-5567	435	7	˜̃⊆(î	˜̃⊆(î	PROPN
ejpam-5567	435	8	,	,	PUNCT
ejpam-5567	435	9	e	e	NOUN
ejpam-5567	435	10	)	)	PUNCT
ejpam-5567	435	11	.	.	PUNCT
ejpam-5567	436	1	we	we	PRON
ejpam-5567	436	2	know	know	VERB
ejpam-5567	436	3	that	that	SCONJ
ejpam-5567	436	4	(	(	PUNCT
ejpam-5567	436	5	î	î	INTJ
ejpam-5567	436	6	,	,	PUNCT
ejpam-5567	436	7	e	e	NOUN
ejpam-5567	436	8	)	)	PUNCT
ejpam-5567	436	9	˜̃⊆(î	˜̃⊆(î	PROPN
ejpam-5567	436	10	,	,	PUNCT
ejpam-5567	436	11	e	e	NOUN
ejpam-5567	436	12	)	)	PUNCT
ejpam-5567	436	13	,	,	PUNCT
ejpam-5567	436	14	and	and	CCONJ
ejpam-5567	436	15	we	we	PRON
ejpam-5567	436	16	have	have	VERB
ejpam-5567	436	17	(	(	PUNCT
ejpam-5567	436	18	h	h	NOUN
ejpam-5567	436	19	,	,	PUNCT
ejpam-5567	436	20	e	e	NOUN
ejpam-5567	436	21	)	)	PUNCT
ejpam-5567	437	1	˜̃⊆(î	˜̃⊆(î	PROPN
ejpam-5567	437	2	,	,	PUNCT
ejpam-5567	437	3	e	e	NOUN
ejpam-5567	437	4	)	)	PUNCT
ejpam-5567	437	5	˜̃⊆(î	˜̃⊆(î	PROPN
ejpam-5567	437	6	,	,	PUNCT
ejpam-5567	437	7	e	e	NOUN
ejpam-5567	437	8	)	)	PUNCT
ejpam-5567	437	9	.	.	PUNCT
ejpam-5567	438	1	therefore	therefore	ADV
ejpam-5567	438	2	,	,	PUNCT
ejpam-5567	438	3	(	(	PUNCT
ejpam-5567	438	4	h	h	NOUN
ejpam-5567	438	5	,	,	PUNCT
ejpam-5567	438	6	e	e	NOUN
ejpam-5567	438	7	)	)	PUNCT
ejpam-5567	438	8	˜̃⊆(î	˜̃⊆(î	PROPN
ejpam-5567	438	9	,	,	PUNCT
ejpam-5567	438	10	e	e	NOUN
ejpam-5567	438	11	)	)	PUNCT
ejpam-5567	438	12	.	.	PUNCT
ejpam-5567	439	1	therefore	therefore	ADV
ejpam-5567	439	2	,	,	PUNCT
ejpam-5567	439	3	(	(	PUNCT
ejpam-5567	439	4	î	î	X
ejpam-5567	439	5	,	,	PUNCT
ejpam-5567	439	6	e	e	X
ejpam-5567	439	7	)	)	PUNCT
ejpam-5567	439	8	is	be	AUX
ejpam-5567	439	9	a	a	DET
ejpam-5567	439	10	ternary	ternary	ADJ
ejpam-5567	439	11	soft	soft	ADJ
ejpam-5567	439	12	closed	closed	ADJ
ejpam-5567	439	13	set	set	NOUN
ejpam-5567	439	14	containing	contain	VERB
ejpam-5567	439	15	(	(	PUNCT
ejpam-5567	439	16	î	î	INTJ
ejpam-5567	439	17	,	,	PUNCT
ejpam-5567	439	18	e	e	NOUN
ejpam-5567	439	19	)	)	PUNCT
ejpam-5567	439	20	→	→	SYM
ejpam-5567	439	21	(	(	PUNCT
ejpam-5567	439	22	1	1	NUM
ejpam-5567	439	23	)	)	PUNCT
ejpam-5567	439	24	.	.	PUNCT
ejpam-5567	440	1	but	but	CCONJ
ejpam-5567	440	2	(	(	PUNCT
ejpam-5567	440	3	h	h	NOUN
ejpam-5567	440	4	,	,	PUNCT
ejpam-5567	440	5	e	e	NOUN
ejpam-5567	440	6	)	)	PUNCT
ejpam-5567	440	7	is	be	AUX
ejpam-5567	440	8	the	the	DET
ejpam-5567	440	9	smallest	small	ADJ
ejpam-5567	440	10	ternary	ternary	ADJ
ejpam-5567	440	11	soft	soft	ADJ
ejpam-5567	440	12	closed	closed	ADJ
ejpam-5567	440	13	set	set	NOUN
ejpam-5567	440	14	containing	contain	VERB
ejpam-5567	440	15	(	(	PUNCT
ejpam-5567	440	16	h	h	NOUN
ejpam-5567	440	17	,	,	PUNCT
ejpam-5567	440	18	e	e	NOUN
ejpam-5567	440	19	)	)	PUNCT
ejpam-5567	440	20	→	→	SYM
ejpam-5567	440	21	(	(	PUNCT
ejpam-5567	440	22	2	2	X
ejpam-5567	440	23	)	)	PUNCT
ejpam-5567	440	24	it	it	PRON
ejpam-5567	440	25	follows	follow	VERB
ejpam-5567	440	26	that	that	SCONJ
ejpam-5567	440	27	(	(	PUNCT
ejpam-5567	440	28	h	h	NOUN
ejpam-5567	440	29	,	,	PUNCT
ejpam-5567	440	30	e	e	NOUN
ejpam-5567	440	31	)	)	PUNCT
ejpam-5567	440	32	is	be	AUX
ejpam-5567	440	33	smaller	small	ADJ
ejpam-5567	440	34	than	than	ADP
ejpam-5567	440	35	(	(	PUNCT
ejpam-5567	440	36	î	î	INTJ
ejpam-5567	440	37	,	,	PUNCT
ejpam-5567	440	38	e	e	NOUN
ejpam-5567	440	39	)	)	PUNCT
ejpam-5567	440	40	,	,	PUNCT
ejpam-5567	440	41	that	that	ADV
ejpam-5567	440	42	is	is	ADV
ejpam-5567	440	43	(	(	PUNCT
ejpam-5567	440	44	h	h	NOUN
ejpam-5567	440	45	,	,	PUNCT
ejpam-5567	440	46	e	e	NOUN
ejpam-5567	440	47	)	)	PUNCT
ejpam-5567	440	48	˜̃⊆(î	˜̃⊆(î	PROPN
ejpam-5567	440	49	,	,	PUNCT
ejpam-5567	440	50	e	e	NOUN
ejpam-5567	440	51	)	)	PUNCT
ejpam-5567	440	52	.	.	PUNCT
ejpam-5567	441	1	thus	thus	ADV
ejpam-5567	441	2	if	if	SCONJ
ejpam-5567	441	3	(	(	PUNCT
ejpam-5567	441	4	h	h	NOUN
ejpam-5567	441	5	,	,	PUNCT
ejpam-5567	441	6	e	e	NOUN
ejpam-5567	441	7	)	)	PUNCT
ejpam-5567	441	8	˜̃⊆(î	˜̃⊆(î	PROPN
ejpam-5567	441	9	,	,	PUNCT
ejpam-5567	441	10	e	e	NOUN
ejpam-5567	441	11	)	)	PUNCT
ejpam-5567	441	12	.	.	PUNCT
ejpam-5567	442	1	then	then	ADV
ejpam-5567	442	2	(	(	PUNCT
ejpam-5567	442	3	h	h	NOUN
ejpam-5567	442	4	,	,	PUNCT
ejpam-5567	442	5	e	e	NOUN
ejpam-5567	442	6	)	)	PUNCT
ejpam-5567	442	7	˜̃⊆(î	˜̃⊆(î	PROPN
ejpam-5567	442	8	,	,	PUNCT
ejpam-5567	442	9	e	e	NOUN
ejpam-5567	442	10	)	)	PUNCT
ejpam-5567	442	11	.	.	PUNCT
ejpam-5567	443	1	(	(	PUNCT
ejpam-5567	443	2	vi	vi	X
ejpam-5567	443	3	)	)	PUNCT
ejpam-5567	443	4	we	we	PRON
ejpam-5567	443	5	know	know	VERB
ejpam-5567	443	6	(	(	PUNCT
ejpam-5567	443	7	h	h	NOUN
ejpam-5567	443	8	,	,	PUNCT
ejpam-5567	443	9	e	e	NOUN
ejpam-5567	443	10	)	)	PUNCT
ejpam-5567	443	11	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	443	12	,	,	PUNCT
ejpam-5567	443	13	e)˜̃∪(î	e)˜̃∪(î	PROPN
ejpam-5567	443	14	,	,	PUNCT
ejpam-5567	443	15	e	e	NOUN
ejpam-5567	443	16	)	)	PUNCT
ejpam-5567	443	17	and	and	CCONJ
ejpam-5567	443	18	(	(	PUNCT
ejpam-5567	443	19	î	î	INTJ
ejpam-5567	443	20	,	,	PUNCT
ejpam-5567	443	21	e	e	X
ejpam-5567	443	22	)	)	PUNCT
ejpam-5567	443	23	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	443	24	,	,	PUNCT
ejpam-5567	443	25	e)˜̃∪(î	e)˜̃∪(î	PROPN
ejpam-5567	443	26	,	,	PUNCT
ejpam-5567	443	27	e	e	NOUN
ejpam-5567	443	28	)	)	PUNCT
ejpam-5567	443	29	.	.	PUNCT
ejpam-5567	444	1	therefore	therefore	ADV
ejpam-5567	444	2	:	:	PUNCT
ejpam-5567	444	3	(	(	PUNCT
ejpam-5567	444	4	h	h	NOUN
ejpam-5567	444	5	,	,	PUNCT
ejpam-5567	444	6	e	e	NOUN
ejpam-5567	444	7	)	)	PUNCT
ejpam-5567	444	8	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	444	9	,	,	PUNCT
ejpam-5567	444	10	e)˜̃∪(î	e)˜̃∪(î	PROPN
ejpam-5567	444	11	,	,	PUNCT
ejpam-5567	444	12	e	e	NOUN
ejpam-5567	444	13	)	)	PUNCT
ejpam-5567	444	14	and	and	CCONJ
ejpam-5567	444	15	(	(	PUNCT
ejpam-5567	444	16	î	î	INTJ
ejpam-5567	444	17	,	,	PUNCT
ejpam-5567	444	18	e	e	X
ejpam-5567	444	19	)	)	PUNCT
ejpam-5567	444	20	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	444	21	,	,	PUNCT
ejpam-5567	444	22	e)˜̃∪(î	e)˜̃∪(î	PROPN
ejpam-5567	444	23	,	,	PUNCT
ejpam-5567	444	24	e	e	NOUN
ejpam-5567	444	25	)	)	PUNCT
ejpam-5567	444	26	.	.	PUNCT
ejpam-5567	445	1	since	since	SCONJ
ejpam-5567	445	2	(	(	PUNCT
ejpam-5567	445	3	h	h	NOUN
ejpam-5567	445	4	,	,	PUNCT
ejpam-5567	445	5	e	e	NOUN
ejpam-5567	445	6	)	)	PUNCT
ejpam-5567	445	7	˜̃⊆(î	˜̃⊆(î	PROPN
ejpam-5567	445	8	,	,	PUNCT
ejpam-5567	445	9	e	e	NOUN
ejpam-5567	445	10	)	)	PUNCT
ejpam-5567	445	11	implies	imply	VERB
ejpam-5567	445	12	(	(	PUNCT
ejpam-5567	445	13	h	h	NOUN
ejpam-5567	445	14	,	,	PUNCT
ejpam-5567	445	15	e	e	NOUN
ejpam-5567	445	16	)	)	PUNCT
ejpam-5567	445	17	˜̃⊆(î	˜̃⊆(î	PROPN
ejpam-5567	445	18	,	,	PUNCT
ejpam-5567	445	19	e	e	NOUN
ejpam-5567	445	20	)	)	PUNCT
ejpam-5567	445	21	⇒	⇒	NOUN
ejpam-5567	445	22	{	{	PUNCT
ejpam-5567	445	23	(	(	PUNCT
ejpam-5567	445	24	h	h	NOUN
ejpam-5567	445	25	,	,	PUNCT
ejpam-5567	445	26	e)˜̃∪(î	e)˜̃∪(î	NOUN
ejpam-5567	445	27	,	,	PUNCT
ejpam-5567	445	28	e	e	NOUN
ejpam-5567	445	29	)	)	PUNCT
ejpam-5567	445	30	}	}	PUNCT
ejpam-5567	445	31	˜̃⊆{(h	˜̃⊆{(h	NOUN
ejpam-5567	445	32	,	,	PUNCT
ejpam-5567	445	33	e)˜̃∪(î	e)˜̃∪(î	NOUN
ejpam-5567	445	34	,	,	PUNCT
ejpam-5567	445	35	e	e	NOUN
ejpam-5567	445	36	)	)	PUNCT
ejpam-5567	445	37	}	}	PUNCT
ejpam-5567	445	38	˜̃∪{(h	˜̃∪{(h	NOUN
ejpam-5567	445	39	,	,	PUNCT
ejpam-5567	445	40	e)˜̃∪(î	e)˜̃∪(î	NOUN
ejpam-5567	445	41	,	,	PUNCT
ejpam-5567	445	42	e	e	NOUN
ejpam-5567	445	43	)	)	PUNCT
ejpam-5567	445	44	}	}	PUNCT
ejpam-5567	445	45	.	.	PUNCT
ejpam-5567	446	1	(	(	PUNCT
ejpam-5567	446	2	h	h	NOUN
ejpam-5567	446	3	,	,	PUNCT
ejpam-5567	446	4	e)˜̃∪(î	e)˜̃∪(î	PROPN
ejpam-5567	446	5	,	,	PUNCT
ejpam-5567	446	6	e	e	NOUN
ejpam-5567	446	7	)	)	PUNCT
ejpam-5567	446	8	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	446	9	,	,	PUNCT
ejpam-5567	446	10	e)˜̃∪(î	e)˜̃∪(î	PROPN
ejpam-5567	446	11	,	,	PUNCT
ejpam-5567	446	12	e	e	NOUN
ejpam-5567	446	13	)	)	PUNCT
ejpam-5567	446	14	→	→	SYM
ejpam-5567	446	15	(	(	PUNCT
ejpam-5567	446	16	1	1	NUM
ejpam-5567	446	17	)	)	PUNCT
ejpam-5567	446	18	.	.	PUNCT
ejpam-5567	447	1	also	also	ADV
ejpam-5567	447	2	,	,	PUNCT
ejpam-5567	447	3	from	from	ADP
ejpam-5567	447	4	the	the	DET
ejpam-5567	447	5	ternary	ternary	ADJ
ejpam-5567	447	6	soft	soft	ADJ
ejpam-5567	447	7	closure	closure	NOUN
ejpam-5567	447	8	property	property	NOUN
ejpam-5567	447	9	,	,	PUNCT
ejpam-5567	447	10	we	we	PRON
ejpam-5567	447	11	have	have	VERB
ejpam-5567	447	12	(	(	PUNCT
ejpam-5567	447	13	h	h	NOUN
ejpam-5567	447	14	,	,	PUNCT
ejpam-5567	447	15	e	e	NOUN
ejpam-5567	447	16	)	)	PUNCT
ejpam-5567	447	17	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	447	18	,	,	PUNCT
ejpam-5567	447	19	e	e	NOUN
ejpam-5567	447	20	)	)	PUNCT
ejpam-5567	447	21	and	and	CCONJ
ejpam-5567	447	22	(	(	PUNCT
ejpam-5567	447	23	î	î	INTJ
ejpam-5567	447	24	,	,	PUNCT
ejpam-5567	447	25	e	e	NOUN
ejpam-5567	447	26	)	)	PUNCT
ejpam-5567	447	27	˜̃⊆(î	˜̃⊆(î	PROPN
ejpam-5567	447	28	,	,	PUNCT
ejpam-5567	447	29	e	e	NOUN
ejpam-5567	447	30	)	)	PUNCT
ejpam-5567	447	31	.	.	PUNCT
ejpam-5567	448	1	thus(h	thus(h	NOUN
ejpam-5567	448	2	,	,	PUNCT
ejpam-5567	448	3	e)˜̃∪(î	e)˜̃∪(î	PROPN
ejpam-5567	448	4	,	,	PUNCT
ejpam-5567	448	5	e	e	NOUN
ejpam-5567	448	6	)	)	PUNCT
ejpam-5567	448	7	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	448	8	,	,	PUNCT
ejpam-5567	448	9	e)˜̃∪(î	e)˜̃∪(î	PROPN
ejpam-5567	448	10	,	,	PUNCT
ejpam-5567	448	11	e	e	NOUN
ejpam-5567	448	12	)	)	PUNCT
ejpam-5567	448	13	=	=	NOUN
ejpam-5567	448	14	⇒	⇒	NOUN
ejpam-5567	448	15	(	(	PUNCT
ejpam-5567	448	16	h	h	NOUN
ejpam-5567	448	17	,	,	PUNCT
ejpam-5567	448	18	e)˜̃∪(î	e)˜̃∪(î	PROPN
ejpam-5567	448	19	,	,	PUNCT
ejpam-5567	448	20	e	e	NOUN
ejpam-5567	448	21	)	)	PUNCT
ejpam-5567	448	22	is	be	AUX
ejpam-5567	448	23	the	the	DET
ejpam-5567	448	24	ternary	ternary	ADJ
ejpam-5567	448	25	soft	soft	ADJ
ejpam-5567	448	26	closed	closed	ADJ
ejpam-5567	448	27	set	set	NOUN
ejpam-5567	448	28	containing	contain	VERB
ejpam-5567	448	29	(	(	PUNCT
ejpam-5567	448	30	h	h	NOUN
ejpam-5567	448	31	,	,	PUNCT
ejpam-5567	448	32	e)˜̃∪(î	e)˜̃∪(î	NOUN
ejpam-5567	448	33	,	,	PUNCT
ejpam-5567	448	34	e	e	NOUN
ejpam-5567	448	35	)	)	PUNCT
ejpam-5567	448	36	.	.	PUNCT
ejpam-5567	449	1	but	but	CCONJ
ejpam-5567	449	2	(	(	PUNCT
ejpam-5567	449	3	h	h	NOUN
ejpam-5567	449	4	,	,	PUNCT
ejpam-5567	449	5	e)˜̃∪(î	e)˜̃∪(î	PROPN
ejpam-5567	449	6	,	,	PUNCT
ejpam-5567	449	7	e	e	NOUN
ejpam-5567	449	8	)	)	PUNCT
ejpam-5567	449	9	is	be	AUX
ejpam-5567	449	10	the	the	DET
ejpam-5567	449	11	smallest	small	ADJ
ejpam-5567	449	12	ternary	ternary	ADJ
ejpam-5567	449	13	soft	soft	ADJ
ejpam-5567	449	14	closed	closed	ADJ
ejpam-5567	449	15	set	set	NOUN
ejpam-5567	449	16	containing	contain	VERB
ejpam-5567	449	17	(	(	PUNCT
ejpam-5567	449	18	h	h	NOUN
ejpam-5567	449	19	,	,	PUNCT
ejpam-5567	449	20	e)˜̃∪(î	e)˜̃∪(î	NOUN
ejpam-5567	449	21	,	,	PUNCT
ejpam-5567	449	22	e	e	NOUN
ejpam-5567	449	23	)	)	PUNCT
ejpam-5567	450	1	→	→	SYM
ejpam-5567	450	2	(	(	PUNCT
ejpam-5567	450	3	2	2	X
ejpam-5567	450	4	)	)	PUNCT
ejpam-5567	450	5	m.	m.	NOUN
ejpam-5567	450	6	nawaz	nawaz	NOUN
ejpam-5567	450	7	et	et	PROPN
ejpam-5567	450	8	al	al	PROPN
ejpam-5567	450	9	.	.	PUNCT
ejpam-5567	450	10	/	/	SYM
ejpam-5567	450	11	eur	eur	PROPN
ejpam-5567	450	12	.	.	PUNCT
ejpam-5567	451	1	j.	j.	PROPN
ejpam-5567	451	2	pure	pure	PROPN
ejpam-5567	451	3	appl	appl	PROPN
ejpam-5567	451	4	.	.	PROPN
ejpam-5567	451	5	math	math	PROPN
ejpam-5567	451	6	,	,	PUNCT
ejpam-5567	451	7	18	18	NUM
ejpam-5567	451	8	(	(	PUNCT
ejpam-5567	451	9	1	1	NUM
ejpam-5567	451	10	)	)	PUNCT
ejpam-5567	451	11	(	(	PUNCT
ejpam-5567	451	12	2025	2025	NUM
ejpam-5567	451	13	)	)	PUNCT
ejpam-5567	451	14	,	,	PUNCT
ejpam-5567	451	15	5567	5567	NUM
ejpam-5567	451	16	21	21	NUM
ejpam-5567	451	17	of	of	ADP
ejpam-5567	451	18	45	45	NUM
ejpam-5567	451	19	comparing	compare	VERB
ejpam-5567	451	20	(	(	PUNCT
ejpam-5567	451	21	1	1	NUM
ejpam-5567	451	22	)	)	PUNCT
ejpam-5567	451	23	and	and	CCONJ
ejpam-5567	451	24	(	(	PUNCT
ejpam-5567	451	25	2	2	NUM
ejpam-5567	451	26	)	)	PUNCT
ejpam-5567	451	27	,	,	PUNCT
ejpam-5567	451	28	we	we	PRON
ejpam-5567	451	29	have	have	AUX
ejpam-5567	451	30	(	(	PUNCT
ejpam-5567	451	31	h	h	NOUN
ejpam-5567	451	32	,	,	PUNCT
ejpam-5567	451	33	e)˜̃∪(î	e)˜̃∪(î	PROPN
ejpam-5567	451	34	,	,	PUNCT
ejpam-5567	451	35	e	e	NOUN
ejpam-5567	451	36	)	)	PUNCT
ejpam-5567	451	37	is	be	AUX
ejpam-5567	451	38	smaller	small	ADJ
ejpam-5567	451	39	than	than	ADP
ejpam-5567	451	40	(	(	PUNCT
ejpam-5567	451	41	h	h	NOUN
ejpam-5567	451	42	,	,	PUNCT
ejpam-5567	451	43	e)˜̃∪(î	e)˜̃∪(î	NOUN
ejpam-5567	451	44	,	,	PUNCT
ejpam-5567	451	45	e	e	NOUN
ejpam-5567	451	46	)	)	PUNCT
ejpam-5567	451	47	.	.	PUNCT
ejpam-5567	452	1	thus	thus	ADV
ejpam-5567	452	2	,	,	PUNCT
ejpam-5567	452	3	from	from	ADP
ejpam-5567	452	4	(	(	PUNCT
ejpam-5567	452	5	1	1	NUM
ejpam-5567	452	6	)	)	PUNCT
ejpam-5567	452	7	and	and	CCONJ
ejpam-5567	452	8	(	(	PUNCT
ejpam-5567	452	9	2	2	NUM
ejpam-5567	452	10	)	)	PUNCT
ejpam-5567	452	11	,	,	PUNCT
ejpam-5567	452	12	we	we	PRON
ejpam-5567	452	13	have	have	VERB
ejpam-5567	452	14	(	(	PUNCT
ejpam-5567	452	15	h	h	NOUN
ejpam-5567	452	16	,	,	PUNCT
ejpam-5567	452	17	e)˜̃∪(î	e)˜̃∪(î	NOUN
ejpam-5567	452	18	,	,	PUNCT
ejpam-5567	452	19	e	e	NOUN
ejpam-5567	452	20	)	)	PUNCT
ejpam-5567	452	21	=	=	SYM
ejpam-5567	452	22	(	(	PUNCT
ejpam-5567	452	23	h	h	NOUN
ejpam-5567	452	24	,	,	PUNCT
ejpam-5567	452	25	e)˜̃∪(î	e)˜̃∪(î	PROPN
ejpam-5567	452	26	,	,	PUNCT
ejpam-5567	452	27	e	e	NOUN
ejpam-5567	452	28	)	)	PUNCT
ejpam-5567	452	29	.	.	PUNCT
ejpam-5567	453	1	(	(	PUNCT
ejpam-5567	453	2	vii	vii	PROPN
ejpam-5567	453	3	)	)	PUNCT
ejpam-5567	453	4	since	since	SCONJ
ejpam-5567	453	5	(	(	PUNCT
ejpam-5567	453	6	h	h	NOUN
ejpam-5567	453	7	,	,	PUNCT
ejpam-5567	453	8	e)˜̃∩(î	e)˜̃∩(î	PROPN
ejpam-5567	453	9	,	,	PUNCT
ejpam-5567	453	10	e	e	X
ejpam-5567	453	11	)	)	PUNCT
ejpam-5567	453	12	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	453	13	,	,	PUNCT
ejpam-5567	453	14	e	e	NOUN
ejpam-5567	453	15	)	)	PUNCT
ejpam-5567	453	16	,	,	PUNCT
ejpam-5567	453	17	so	so	ADV
ejpam-5567	453	18	by	by	ADP
ejpam-5567	453	19	part	part	NOUN
ejpam-5567	453	20	(	(	PUNCT
ejpam-5567	453	21	v	v	NOUN
ejpam-5567	453	22	)	)	PUNCT
ejpam-5567	453	23	,	,	PUNCT
ejpam-5567	453	24	(	(	PUNCT
ejpam-5567	453	25	h	h	NOUN
ejpam-5567	453	26	,	,	PUNCT
ejpam-5567	453	27	e)˜̃∩(î	e)˜̃∩(î	PROPN
ejpam-5567	453	28	,	,	PUNCT
ejpam-5567	453	29	e	e	X
ejpam-5567	453	30	)	)	PUNCT
ejpam-5567	453	31	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	453	32	,	,	PUNCT
ejpam-5567	453	33	e	e	NOUN
ejpam-5567	453	34	)	)	PUNCT
ejpam-5567	453	35	and	and	CCONJ
ejpam-5567	453	36	(	(	PUNCT
ejpam-5567	453	37	h	h	NOUN
ejpam-5567	453	38	,	,	PUNCT
ejpam-5567	453	39	e)˜̃∩(î	e)˜̃∩(î	PROPN
ejpam-5567	453	40	,	,	PUNCT
ejpam-5567	453	41	e	e	NOUN
ejpam-5567	453	42	)	)	PUNCT
ejpam-5567	454	1	˜̃⊆(î	˜̃⊆(î	PROPN
ejpam-5567	454	2	,	,	PUNCT
ejpam-5567	454	3	e	e	NOUN
ejpam-5567	454	4	)	)	PUNCT
ejpam-5567	454	5	.	.	PUNCT
ejpam-5567	455	1	thus	thus	ADV
ejpam-5567	455	2	,	,	PUNCT
ejpam-5567	455	3	(	(	PUNCT
ejpam-5567	455	4	h	h	NOUN
ejpam-5567	455	5	,	,	PUNCT
ejpam-5567	455	6	e)˜̃∩(î	e)˜̃∩(î	PROPN
ejpam-5567	455	7	,	,	PUNCT
ejpam-5567	455	8	e	e	X
ejpam-5567	455	9	)	)	PUNCT
ejpam-5567	455	10	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	455	11	,	,	PUNCT
ejpam-5567	455	12	e)˜̃∩(î	e)˜̃∩(î	PROPN
ejpam-5567	455	13	,	,	PUNCT
ejpam-5567	455	14	e	e	NOUN
ejpam-5567	455	15	)	)	PUNCT
ejpam-5567	455	16	.	.	PUNCT
ejpam-5567	456	1	definition	definition	NOUN
ejpam-5567	456	2	31	31	NUM
ejpam-5567	456	3	.	.	PUNCT
ejpam-5567	457	1	let	let	AUX
ejpam-5567	457	2	(	(	PUNCT
ejpam-5567	457	3	u1	u1	NOUN
ejpam-5567	457	4	,	,	PUNCT
ejpam-5567	457	5	u2	u2	NOUN
ejpam-5567	457	6	,	,	PUNCT
ejpam-5567	457	7	u3	u3	NOUN
ejpam-5567	457	8	,	,	PUNCT
ejpam-5567	457	9	τ∆	τ∆	PROPN
ejpam-5567	457	10	,	,	PUNCT
ejpam-5567	457	11	a	a	PRON
ejpam-5567	457	12	)	)	PUNCT
ejpam-5567	457	13	be	be	AUX
ejpam-5567	457	14	a	a	DET
ejpam-5567	457	15	ternary	ternary	ADJ
ejpam-5567	457	16	soft	soft	ADJ
ejpam-5567	457	17	topological	topological	ADJ
ejpam-5567	457	18	space	space	NOUN
ejpam-5567	457	19	over	over	ADP
ejpam-5567	457	20	u1	u1	PROPN
ejpam-5567	457	21	,	,	PUNCT
ejpam-5567	457	22	u2	u2	NOUN
ejpam-5567	457	23	,	,	PUNCT
ejpam-5567	457	24	u3	u3	NOUN
ejpam-5567	457	25	and	and	CCONJ
ejpam-5567	457	26	(	(	PUNCT
ejpam-5567	457	27	h	h	NOUN
ejpam-5567	457	28	,	,	PUNCT
ejpam-5567	457	29	a	a	PRON
ejpam-5567	457	30	)	)	PUNCT
ejpam-5567	457	31	be	be	AUX
ejpam-5567	457	32	a	a	DET
ejpam-5567	457	33	ternary	ternary	ADJ
ejpam-5567	457	34	soft	soft	ADJ
ejpam-5567	457	35	set	set	NOUN
ejpam-5567	457	36	.	.	PUNCT
ejpam-5567	458	1	then	then	ADV
ejpam-5567	458	2	we	we	PRON
ejpam-5567	458	3	associate	associate	VERB
ejpam-5567	458	4	point	point	VERB
ejpam-5567	458	5	wise	wise	ADJ
ejpam-5567	458	6	ternary	ternary	ADJ
ejpam-5567	458	7	soft	soft	ADJ
ejpam-5567	458	8	closure	closure	NOUN
ejpam-5567	458	9	of	of	ADP
ejpam-5567	458	10	(	(	PUNCT
ejpam-5567	458	11	f	f	X
ejpam-5567	458	12	,	,	PUNCT
ejpam-5567	458	13	e	e	NOUN
ejpam-5567	458	14	)	)	PUNCT
ejpam-5567	458	15	over	over	ADP
ejpam-5567	458	16	u1	u1	NOUN
ejpam-5567	458	17	,	,	PUNCT
ejpam-5567	458	18	u2	u2	NOUN
ejpam-5567	458	19	,	,	PUNCT
ejpam-5567	458	20	u3	u3	NOUN
ejpam-5567	458	21	,	,	PUNCT
ejpam-5567	458	22	which	which	PRON
ejpam-5567	458	23	is	be	AUX
ejpam-5567	458	24	denoted	denote	VERB
ejpam-5567	458	25	by	by	ADP
ejpam-5567	458	26	(	(	PUNCT
ejpam-5567	458	27	h	h	NOUN
ejpam-5567	458	28	,	,	PUNCT
ejpam-5567	458	29	a	a	PRON
ejpam-5567	458	30	)	)	PUNCT
ejpam-5567	458	31	and	and	CCONJ
ejpam-5567	458	32	defined	define	VERB
ejpam-5567	458	33	as	as	ADP
ejpam-5567	458	34	(	(	PUNCT
ejpam-5567	458	35	h	h	NOUN
ejpam-5567	458	36	,	,	PUNCT
ejpam-5567	458	37	a)α̃	a)α̃	PROPN
ejpam-5567	458	38	=	=	SYM
ejpam-5567	458	39	(	(	PUNCT
ejpam-5567	458	40	h	h	NOUN
ejpam-5567	458	41	,	,	PUNCT
ejpam-5567	458	42	a)α̃	a)α̃	PROPN
ejpam-5567	458	43	where	where	SCONJ
ejpam-5567	458	44	(	(	PUNCT
ejpam-5567	458	45	h	h	NOUN
ejpam-5567	458	46	,	,	PUNCT
ejpam-5567	458	47	a)α̃	a)α̃	PROPN
ejpam-5567	458	48	is	be	AUX
ejpam-5567	458	49	the	the	DET
ejpam-5567	458	50	ternary	ternary	ADJ
ejpam-5567	458	51	soft	soft	ADJ
ejpam-5567	458	52	closure	closure	NOUN
ejpam-5567	458	53	of	of	ADP
ejpam-5567	458	54	(	(	PUNCT
ejpam-5567	458	55	h	h	NOUN
ejpam-5567	458	56	,	,	PUNCT
ejpam-5567	458	57	a)α̃	a)α̃	PROPN
ejpam-5567	458	58	in	in	ADP
ejpam-5567	458	59	(	(	PUNCT
ejpam-5567	458	60	u1	u1	NOUN
ejpam-5567	458	61	,	,	PUNCT
ejpam-5567	458	62	u2	u2	NOUN
ejpam-5567	458	63	,	,	PUNCT
ejpam-5567	458	64	u3	u3	NOUN
ejpam-5567	458	65	,	,	PUNCT
ejpam-5567	458	66	τ∆	τ∆	PROPN
ejpam-5567	458	67	,	,	PUNCT
ejpam-5567	458	68	a	a	PRON
ejpam-5567	458	69	)	)	PUNCT
ejpam-5567	458	70	for	for	ADP
ejpam-5567	458	71	each	each	DET
ejpam-5567	458	72	α̃	α̃	PROPN
ejpam-5567	458	73	∈	∈	PROPN
ejpam-5567	458	74	a.	a.	NOUN
ejpam-5567	458	75	theorem	theorem	NOUN
ejpam-5567	458	76	3	3	X
ejpam-5567	458	77	.	.	PUNCT
ejpam-5567	459	1	let	let	AUX
ejpam-5567	459	2	(	(	PUNCT
ejpam-5567	459	3	u1	u1	NOUN
ejpam-5567	459	4	,	,	PUNCT
ejpam-5567	459	5	u2	u2	NOUN
ejpam-5567	459	6	,	,	PUNCT
ejpam-5567	459	7	u3	u3	NOUN
ejpam-5567	459	8	,	,	PUNCT
ejpam-5567	459	9	τ∆	τ∆	PROPN
ejpam-5567	459	10	,	,	PUNCT
ejpam-5567	459	11	a	a	PRON
ejpam-5567	459	12	)	)	PUNCT
ejpam-5567	459	13	be	be	AUX
ejpam-5567	459	14	a	a	DET
ejpam-5567	459	15	ternary	ternary	ADJ
ejpam-5567	459	16	soft	soft	ADJ
ejpam-5567	459	17	topological	topological	ADJ
ejpam-5567	459	18	space	space	NOUN
ejpam-5567	459	19	over	over	ADP
ejpam-5567	459	20	u1	u1	PROPN
ejpam-5567	459	21	,	,	PUNCT
ejpam-5567	459	22	u2	u2	NOUN
ejpam-5567	459	23	,	,	PUNCT
ejpam-5567	459	24	u3	u3	NOUN
ejpam-5567	459	25	and	and	CCONJ
ejpam-5567	459	26	(	(	PUNCT
ejpam-5567	459	27	h	h	NOUN
ejpam-5567	459	28	,	,	PUNCT
ejpam-5567	459	29	a	a	PRON
ejpam-5567	459	30	)	)	PUNCT
ejpam-5567	459	31	be	be	AUX
ejpam-5567	459	32	a	a	DET
ejpam-5567	459	33	ternary	ternary	ADJ
ejpam-5567	459	34	soft	soft	ADJ
ejpam-5567	459	35	set	set	NOUN
ejpam-5567	459	36	.	.	PUNCT
ejpam-5567	460	1	then	then	ADV
ejpam-5567	460	2	(	(	PUNCT
ejpam-5567	460	3	h	h	NOUN
ejpam-5567	460	4	,	,	PUNCT
ejpam-5567	460	5	a	a	PRON
ejpam-5567	460	6	)	)	PUNCT
ejpam-5567	460	7	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	460	8	,	,	PUNCT
ejpam-5567	460	9	a	a	PRON
ejpam-5567	460	10	)	)	PUNCT
ejpam-5567	460	11	.	.	PUNCT
ejpam-5567	461	1	proof	proof	NOUN
ejpam-5567	461	2	.	.	PUNCT
ejpam-5567	462	1	for	for	ADP
ejpam-5567	462	2	any	any	DET
ejpam-5567	462	3	parameter	parameter	NOUN
ejpam-5567	462	4	α̃	α̃	PROPN
ejpam-5567	462	5	∈	∈	PROPN
ejpam-5567	462	6	e	e	NOUN
ejpam-5567	462	7	,	,	PUNCT
ejpam-5567	462	8	(	(	PUNCT
ejpam-5567	462	9	h	h	NOUN
ejpam-5567	462	10	,	,	PUNCT
ejpam-5567	462	11	a)α̃	a)α̃	PROPN
ejpam-5567	462	12	is	be	AUX
ejpam-5567	462	13	the	the	DET
ejpam-5567	462	14	smallest	small	ADJ
ejpam-5567	462	15	ternary	ternary	ADJ
ejpam-5567	462	16	soft	soft	ADJ
ejpam-5567	462	17	closed	closed	ADJ
ejpam-5567	462	18	set	set	VERB
ejpam-5567	462	19	in	in	ADP
ejpam-5567	462	20	(	(	PUNCT
ejpam-5567	462	21	u1	u1	NOUN
ejpam-5567	462	22	,	,	PUNCT
ejpam-5567	462	23	u2	u2	NOUN
ejpam-5567	462	24	,	,	PUNCT
ejpam-5567	462	25	u3	u3	NOUN
ejpam-5567	462	26	,	,	PUNCT
ejpam-5567	462	27	τ∆	τ∆	PROPN
ejpam-5567	462	28	,	,	PUNCT
ejpam-5567	462	29	a	a	PRON
ejpam-5567	462	30	)	)	PUNCT
ejpam-5567	462	31	which	which	PRON
ejpam-5567	462	32	contains	contain	VERB
ejpam-5567	462	33	(	(	PUNCT
ejpam-5567	462	34	h	h	NOUN
ejpam-5567	462	35	,	,	PUNCT
ejpam-5567	462	36	a)α̃.	a)α̃.	VERB
ejpam-5567	462	37	moreover	moreover	ADV
ejpam-5567	462	38	,	,	PUNCT
ejpam-5567	462	39	if	if	SCONJ
ejpam-5567	462	40	(	(	PUNCT
ejpam-5567	462	41	h	h	NOUN
ejpam-5567	462	42	,	,	PUNCT
ejpam-5567	462	43	a)α̃	a)α̃	PROPN
ejpam-5567	462	44	=	=	SYM
ejpam-5567	462	45	(	(	PUNCT
ejpam-5567	462	46	l	l	NOUN
ejpam-5567	462	47	,	,	PUNCT
ejpam-5567	462	48	a	a	PRON
ejpam-5567	462	49	)	)	PUNCT
ejpam-5567	462	50	,	,	PUNCT
ejpam-5567	462	51	then	then	ADV
ejpam-5567	462	52	(	(	PUNCT
ejpam-5567	462	53	l	l	NOUN
ejpam-5567	462	54	,	,	PUNCT
ejpam-5567	462	55	a	a	PRON
ejpam-5567	462	56	)	)	PUNCT
ejpam-5567	462	57	is	be	AUX
ejpam-5567	462	58	also	also	ADV
ejpam-5567	462	59	a	a	DET
ejpam-5567	462	60	ternary	ternary	ADJ
ejpam-5567	462	61	soft	soft	ADJ
ejpam-5567	462	62	closed	closed	ADJ
ejpam-5567	462	63	set	set	VERB
ejpam-5567	462	64	in	in	ADP
ejpam-5567	462	65	(	(	PUNCT
ejpam-5567	462	66	u1	u1	NOUN
ejpam-5567	462	67	,	,	PUNCT
ejpam-5567	462	68	u2	u2	NOUN
ejpam-5567	462	69	,	,	PUNCT
ejpam-5567	462	70	u3	u3	NOUN
ejpam-5567	462	71	,	,	PUNCT
ejpam-5567	462	72	τ∆	τ∆	NOUN
ejpam-5567	462	73	,	,	PUNCT
ejpam-5567	462	74	a	a	PRON
ejpam-5567	462	75	)	)	PUNCT
ejpam-5567	462	76	containing	contain	VERB
ejpam-5567	462	77	(	(	PUNCT
ejpam-5567	462	78	h	h	NOUN
ejpam-5567	462	79	,	,	PUNCT
ejpam-5567	462	80	a)α̃.	a)α̃.	NUM
ejpam-5567	462	81	this	this	PRON
ejpam-5567	462	82	implies	imply	VERB
ejpam-5567	462	83	that	that	SCONJ
ejpam-5567	462	84	(	(	PUNCT
ejpam-5567	462	85	h	h	NOUN
ejpam-5567	462	86	,	,	PUNCT
ejpam-5567	462	87	a)α̃	a)α̃	PROPN
ejpam-5567	462	88	=	=	PRON
ejpam-5567	462	89	,	,	PUNCT
ejpam-5567	462	90	(	(	PUNCT
ejpam-5567	462	91	h	h	NOUN
ejpam-5567	462	92	,	,	PUNCT
ejpam-5567	462	93	a)α̃	a)α̃	PROPN
ejpam-5567	462	94	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	462	95	(	(	PUNCT
ejpam-5567	462	96	l	l	NOUN
ejpam-5567	462	97	,	,	PUNCT
ejpam-5567	462	98	a	a	PRON
ejpam-5567	462	99	)	)	PUNCT
ejpam-5567	462	100	.	.	PUNCT
ejpam-5567	463	1	thus	thus	ADV
ejpam-5567	463	2	,	,	PUNCT
ejpam-5567	463	3	(	(	PUNCT
ejpam-5567	463	4	h	h	NOUN
ejpam-5567	463	5	,	,	PUNCT
ejpam-5567	463	6	a	a	PRON
ejpam-5567	463	7	)	)	PUNCT
ejpam-5567	463	8	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	463	9	,	,	PUNCT
ejpam-5567	463	10	a	a	PRON
ejpam-5567	463	11	)	)	PUNCT
ejpam-5567	463	12	.	.	PUNCT
ejpam-5567	464	1	□	□	PUNCT
ejpam-5567	464	2	theorem	theorem	ADJ
ejpam-5567	464	3	4	4	NUM
ejpam-5567	464	4	.	.	PUNCT
ejpam-5567	465	1	let	let	AUX
ejpam-5567	465	2	(	(	PUNCT
ejpam-5567	465	3	u1	u1	NOUN
ejpam-5567	465	4	,	,	PUNCT
ejpam-5567	465	5	u2	u2	NOUN
ejpam-5567	465	6	,	,	PUNCT
ejpam-5567	465	7	u3	u3	NOUN
ejpam-5567	465	8	,	,	PUNCT
ejpam-5567	465	9	τ∆	τ∆	PROPN
ejpam-5567	465	10	,	,	PUNCT
ejpam-5567	465	11	a	a	PRON
ejpam-5567	465	12	)	)	PUNCT
ejpam-5567	465	13	be	be	AUX
ejpam-5567	465	14	the	the	DET
ejpam-5567	465	15	ternary	ternary	ADJ
ejpam-5567	465	16	soft	soft	ADJ
ejpam-5567	465	17	topological	topological	ADJ
ejpam-5567	465	18	space	space	NOUN
ejpam-5567	465	19	and	and	CCONJ
ejpam-5567	465	20	(	(	PUNCT
ejpam-5567	465	21	f	f	X
ejpam-5567	465	22	,	,	PUNCT
ejpam-5567	465	23	a	a	PRON
ejpam-5567	465	24	)	)	PUNCT
ejpam-5567	465	25	be	be	AUX
ejpam-5567	465	26	the	the	DET
ejpam-5567	465	27	ternary	ternary	ADJ
ejpam-5567	465	28	soft	soft	ADJ
ejpam-5567	465	29	set	set	NOUN
ejpam-5567	465	30	over	over	ADP
ejpam-5567	465	31	(	(	PUNCT
ejpam-5567	465	32	u1	u1	NOUN
ejpam-5567	465	33	,	,	PUNCT
ejpam-5567	465	34	u2	u2	NOUN
ejpam-5567	465	35	,	,	PUNCT
ejpam-5567	465	36	u3	u3	NOUN
ejpam-5567	465	37	)	)	PUNCT
ejpam-5567	465	38	.	.	PUNCT
ejpam-5567	466	1	then	then	ADV
ejpam-5567	466	2	,	,	PUNCT
ejpam-5567	466	3	(	(	PUNCT
ejpam-5567	466	4	f	f	X
ejpam-5567	466	5	,	,	PUNCT
ejpam-5567	466	6	a	a	PRON
ejpam-5567	466	7	)	)	PUNCT
ejpam-5567	466	8	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	466	9	,	,	PUNCT
ejpam-5567	466	10	a	a	PRON
ejpam-5567	466	11	)	)	PUNCT
ejpam-5567	466	12	.	.	PUNCT
ejpam-5567	467	1	proof	proof	NOUN
ejpam-5567	467	2	.	.	PUNCT
ejpam-5567	468	1	let	let	AUX
ejpam-5567	468	2	(	(	PUNCT
ejpam-5567	468	3	u1	u1	NOUN
ejpam-5567	468	4	,	,	PUNCT
ejpam-5567	468	5	u2	u2	NOUN
ejpam-5567	468	6	,	,	PUNCT
ejpam-5567	468	7	u3	u3	NOUN
ejpam-5567	468	8	,	,	PUNCT
ejpam-5567	468	9	τ∆	τ∆	PROPN
ejpam-5567	468	10	,	,	PUNCT
ejpam-5567	468	11	a	a	PRON
ejpam-5567	468	12	)	)	PUNCT
ejpam-5567	468	13	be	be	AUX
ejpam-5567	468	14	the	the	DET
ejpam-5567	468	15	ternary	ternary	ADJ
ejpam-5567	468	16	soft	soft	ADJ
ejpam-5567	468	17	topological	topological	ADJ
ejpam-5567	468	18	space	space	NOUN
ejpam-5567	468	19	over	over	ADP
ejpam-5567	468	20	u1	u1	PROPN
ejpam-5567	468	21	,	,	PUNCT
ejpam-5567	468	22	u2	u2	NOUN
ejpam-5567	468	23	,	,	PUNCT
ejpam-5567	468	24	u3	u3	NOUN
ejpam-5567	468	25	.	.	PUNCT
ejpam-5567	469	1	if	if	SCONJ
ejpam-5567	469	2	(	(	PUNCT
ejpam-5567	469	3	f	f	PROPN
ejpam-5567	469	4	,	,	PUNCT
ejpam-5567	469	5	a	a	PRON
ejpam-5567	469	6	)	)	PUNCT
ejpam-5567	469	7	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	469	8	,	,	PUNCT
ejpam-5567	469	9	a	a	PRON
ejpam-5567	469	10	)	)	PUNCT
ejpam-5567	469	11	,	,	PUNCT
ejpam-5567	469	12	then	then	ADV
ejpam-5567	469	13	(	(	PUNCT
ejpam-5567	469	14	f	f	X
ejpam-5567	469	15	,	,	PUNCT
ejpam-5567	469	16	a	a	PRON
ejpam-5567	469	17	)	)	PUNCT
ejpam-5567	469	18	is	be	AUX
ejpam-5567	469	19	a	a	DET
ejpam-5567	469	20	ternary	ternary	ADJ
ejpam-5567	469	21	soft	soft	ADJ
ejpam-5567	469	22	closed	closed	ADJ
ejpam-5567	469	23	set	set	ADJ
ejpam-5567	469	24	and	and	CCONJ
ejpam-5567	469	25	so	so	ADV
ejpam-5567	469	26	(	(	PUNCT
ejpam-5567	469	27	f	f	PROPN
ejpam-5567	469	28	,	,	PUNCT
ejpam-5567	469	29	a)ć	a)ć	X
ejpam-5567	469	30	∈	∈	NOUN
ejpam-5567	469	31	τ∆.	τ∆.	PROPN
ejpam-5567	469	32	conversely	conversely	ADV
ejpam-5567	469	33	,	,	PUNCT
ejpam-5567	469	34	if	if	SCONJ
ejpam-5567	469	35	(	(	PUNCT
ejpam-5567	469	36	f	f	X
ejpam-5567	469	37	,	,	PUNCT
ejpam-5567	469	38	a)ć	a)ć	X
ejpam-5567	469	39	∈	∈	NOUN
ejpam-5567	469	40	τ∆	τ∆	NOUN
ejpam-5567	469	41	,	,	PUNCT
ejpam-5567	469	42	then	then	ADV
ejpam-5567	469	43	ternary	ternary	ADJ
ejpam-5567	469	44	soft	soft	ADJ
ejpam-5567	469	45	closed	closed	ADJ
ejpam-5567	469	46	set	set	NOUN
ejpam-5567	469	47	containing	contain	VERB
ejpam-5567	469	48	(	(	PUNCT
ejpam-5567	469	49	f	f	PROPN
ejpam-5567	469	50	,	,	PUNCT
ejpam-5567	469	51	a	a	PRON
ejpam-5567	469	52	)	)	PUNCT
ejpam-5567	469	53	.	.	PUNCT
ejpam-5567	470	1	by	by	ADP
ejpam-5567	470	2	the	the	DET
ejpam-5567	470	3	above	above	ADJ
ejpam-5567	470	4	theorem	theorem	NOUN
ejpam-5567	470	5	,	,	PUNCT
ejpam-5567	470	6	(	(	PUNCT
ejpam-5567	470	7	f	f	X
ejpam-5567	470	8	,	,	PUNCT
ejpam-5567	470	9	a	a	PRON
ejpam-5567	470	10	)	)	PUNCT
ejpam-5567	470	11	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	470	12	,	,	PUNCT
ejpam-5567	470	13	a	a	PRON
ejpam-5567	470	14	)	)	PUNCT
ejpam-5567	470	15	,	,	PUNCT
ejpam-5567	470	16	and	and	CCONJ
ejpam-5567	470	17	by	by	ADP
ejpam-5567	470	18	the	the	DET
ejpam-5567	470	19	definition	definition	NOUN
ejpam-5567	470	20	of	of	ADP
ejpam-5567	470	21	the	the	DET
ejpam-5567	470	22	ternary	ternary	ADJ
ejpam-5567	470	23	soft	soft	ADJ
ejpam-5567	470	24	closure	closure	NOUN
ejpam-5567	470	25	of	of	ADP
ejpam-5567	470	26	(	(	PUNCT
ejpam-5567	470	27	f	f	X
ejpam-5567	470	28	,	,	PUNCT
ejpam-5567	470	29	a	a	PRON
ejpam-5567	470	30	)	)	PUNCT
ejpam-5567	470	31	,	,	PUNCT
ejpam-5567	470	32	any	any	DET
ejpam-5567	470	33	ternary	ternary	NOUN
ejpam-5567	470	34	closed	close	VERB
ejpam-5567	470	35	set	set	VERB
ejpam-5567	470	36	over	over	ADP
ejpam-5567	470	37	u1	u1	NOUN
ejpam-5567	470	38	,	,	PUNCT
ejpam-5567	470	39	u2	u2	NOUN
ejpam-5567	470	40	,	,	PUNCT
ejpam-5567	470	41	u3	u3	NOUN
ejpam-5567	470	42	that	that	PRON
ejpam-5567	470	43	contains	contain	VERB
ejpam-5567	470	44	(	(	PUNCT
ejpam-5567	470	45	f	f	X
ejpam-5567	470	46	,	,	PUNCT
ejpam-5567	470	47	a	a	PRON
ejpam-5567	470	48	)	)	PUNCT
ejpam-5567	470	49	will	will	AUX
ejpam-5567	470	50	contain	contain	VERB
ejpam-5567	470	51	(	(	PUNCT
ejpam-5567	470	52	f	f	NOUN
ejpam-5567	470	53	,	,	PUNCT
ejpam-5567	470	54	a	a	PRON
ejpam-5567	470	55	)	)	PUNCT
ejpam-5567	470	56	.	.	PUNCT
ejpam-5567	471	1	thus	thus	ADV
ejpam-5567	471	2	,	,	PUNCT
ejpam-5567	471	3	(	(	PUNCT
ejpam-5567	471	4	f	f	X
ejpam-5567	471	5	,	,	PUNCT
ejpam-5567	471	6	a	a	PRON
ejpam-5567	471	7	)	)	PUNCT
ejpam-5567	471	8	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	471	9	,	,	PUNCT
ejpam-5567	471	10	a	a	PRON
ejpam-5567	471	11	)	)	PUNCT
ejpam-5567	471	12	,	,	PUNCT
ejpam-5567	471	13	hence	hence	ADV
ejpam-5567	471	14	(	(	PUNCT
ejpam-5567	471	15	f	f	X
ejpam-5567	471	16	,	,	PUNCT
ejpam-5567	471	17	a	a	X
ejpam-5567	471	18	)	)	PUNCT
ejpam-5567	471	19	=	=	SYM
ejpam-5567	471	20	(	(	PUNCT
ejpam-5567	471	21	f	f	X
ejpam-5567	471	22	,	,	PUNCT
ejpam-5567	471	23	a	a	PRON
ejpam-5567	471	24	)	)	PUNCT
ejpam-5567	471	25	.	.	PUNCT
ejpam-5567	472	1	□	□	PUNCT
ejpam-5567	472	2	definition	definition	NOUN
ejpam-5567	472	3	32	32	NUM
ejpam-5567	472	4	.	.	PUNCT
ejpam-5567	473	1	let	let	AUX
ejpam-5567	473	2	(	(	PUNCT
ejpam-5567	473	3	u1	u1	NOUN
ejpam-5567	473	4	,	,	PUNCT
ejpam-5567	473	5	u2	u2	NOUN
ejpam-5567	473	6	,	,	PUNCT
ejpam-5567	473	7	u3	u3	NOUN
ejpam-5567	473	8	,	,	PUNCT
ejpam-5567	473	9	τ∆	τ∆	PROPN
ejpam-5567	473	10	,	,	PUNCT
ejpam-5567	473	11	a	a	PRON
ejpam-5567	473	12	)	)	PUNCT
ejpam-5567	473	13	be	be	AUX
ejpam-5567	473	14	a	a	DET
ejpam-5567	473	15	ternary	ternary	ADJ
ejpam-5567	473	16	soft	soft	ADJ
ejpam-5567	473	17	topological	topological	ADJ
ejpam-5567	473	18	space	space	NOUN
ejpam-5567	473	19	over	over	ADP
ejpam-5567	473	20	u1	u1	PROPN
ejpam-5567	473	21	,	,	PUNCT
ejpam-5567	473	22	u2	u2	NOUN
ejpam-5567	473	23	,	,	PUNCT
ejpam-5567	473	24	u3	u3	NOUN
ejpam-5567	473	25	and	and	CCONJ
ejpam-5567	473	26	(	(	PUNCT
ejpam-5567	473	27	h	h	NOUN
ejpam-5567	473	28	,	,	PUNCT
ejpam-5567	473	29	a	a	PRON
ejpam-5567	473	30	)	)	PUNCT
ejpam-5567	473	31	be	be	AUX
ejpam-5567	473	32	a	a	DET
ejpam-5567	473	33	ternary	ternary	ADJ
ejpam-5567	473	34	soft	soft	ADJ
ejpam-5567	473	35	set	set	NOUN
ejpam-5567	473	36	.	.	PUNCT
ejpam-5567	474	1	let	let	VERB
ejpam-5567	474	2	ex	ex	PRON
ejpam-5567	474	3	∈	∈	PROPN
ejpam-5567	474	4	e.	e.	PROPN
ejpam-5567	474	5	then	then	ADV
ejpam-5567	474	6	ex	ex	NOUN
ejpam-5567	474	7	is	be	AUX
ejpam-5567	474	8	said	say	VERB
ejpam-5567	474	9	to	to	PART
ejpam-5567	474	10	be	be	AUX
ejpam-5567	474	11	a	a	DET
ejpam-5567	474	12	ternary	ternary	ADJ
ejpam-5567	474	13	soft	soft	ADJ
ejpam-5567	474	14	interior	interior	ADJ
ejpam-5567	474	15	point	point	NOUN
ejpam-5567	474	16	of	of	ADP
ejpam-5567	474	17	(	(	PUNCT
ejpam-5567	474	18	h	h	NOUN
ejpam-5567	474	19	,	,	PUNCT
ejpam-5567	474	20	a	a	PRON
ejpam-5567	474	21	)	)	PUNCT
ejpam-5567	474	22	if	if	SCONJ
ejpam-5567	474	23	there	there	PRON
ejpam-5567	474	24	exists	exist	VERB
ejpam-5567	474	25	a	a	DET
ejpam-5567	474	26	ternary	ternary	ADJ
ejpam-5567	474	27	soft	soft	ADJ
ejpam-5567	474	28	open	open	ADJ
ejpam-5567	474	29	set	set	NOUN
ejpam-5567	474	30	(	(	PUNCT
ejpam-5567	474	31	k	k	NOUN
ejpam-5567	474	32	,	,	PUNCT
ejpam-5567	474	33	a	a	PRON
ejpam-5567	474	34	)	)	PUNCT
ejpam-5567	474	35	such	such	ADJ
ejpam-5567	474	36	that	that	SCONJ
ejpam-5567	474	37	ex	ex	PRON
ejpam-5567	474	38	∈	∈	PROPN
ejpam-5567	474	39	(	(	PUNCT
ejpam-5567	474	40	h	h	NOUN
ejpam-5567	474	41	,	,	PUNCT
ejpam-5567	474	42	a	a	PRON
ejpam-5567	474	43	)	)	PUNCT
ejpam-5567	474	44	˜̃⊆(k	˜̃⊆(k	PROPN
ejpam-5567	474	45	,	,	PUNCT
ejpam-5567	474	46	a	a	PRON
ejpam-5567	474	47	)	)	PUNCT
ejpam-5567	474	48	.	.	PUNCT
ejpam-5567	475	1	definition	definition	NOUN
ejpam-5567	475	2	33	33	NUM
ejpam-5567	475	3	.	.	PUNCT
ejpam-5567	476	1	let	let	AUX
ejpam-5567	476	2	(	(	PUNCT
ejpam-5567	476	3	u1	u1	NOUN
ejpam-5567	476	4	,	,	PUNCT
ejpam-5567	476	5	u2	u2	NOUN
ejpam-5567	476	6	,	,	PUNCT
ejpam-5567	476	7	u3	u3	NOUN
ejpam-5567	476	8	,	,	PUNCT
ejpam-5567	476	9	τ∆	τ∆	PROPN
ejpam-5567	476	10	,	,	PUNCT
ejpam-5567	476	11	a	a	PRON
ejpam-5567	476	12	)	)	PUNCT
ejpam-5567	476	13	be	be	AUX
ejpam-5567	476	14	a	a	DET
ejpam-5567	476	15	ternary	ternary	ADJ
ejpam-5567	476	16	soft	soft	ADJ
ejpam-5567	476	17	topological	topological	ADJ
ejpam-5567	476	18	space	space	NOUN
ejpam-5567	476	19	over	over	ADP
ejpam-5567	476	20	u1	u1	PROPN
ejpam-5567	476	21	,	,	PUNCT
ejpam-5567	476	22	u2	u2	NOUN
ejpam-5567	476	23	,	,	PUNCT
ejpam-5567	476	24	u3	u3	NOUN
ejpam-5567	476	25	and	and	CCONJ
ejpam-5567	476	26	(	(	PUNCT
ejpam-5567	476	27	f	f	X
ejpam-5567	476	28	,	,	PUNCT
ejpam-5567	476	29	a	a	PRON
ejpam-5567	476	30	)	)	PUNCT
ejpam-5567	476	31	be	be	AUX
ejpam-5567	476	32	a	a	DET
ejpam-5567	476	33	ternary	ternary	ADJ
ejpam-5567	476	34	soft	soft	ADJ
ejpam-5567	476	35	set	set	NOUN
ejpam-5567	476	36	.	.	PUNCT
ejpam-5567	477	1	let	let	VERB
ejpam-5567	477	2	ex	ex	PRON
ejpam-5567	477	3	∈	∈	NOUN
ejpam-5567	477	4	a.	a.	NOUN
ejpam-5567	477	5	then	then	ADV
ejpam-5567	477	6	(	(	PUNCT
ejpam-5567	477	7	f	f	X
ejpam-5567	477	8	,	,	PUNCT
ejpam-5567	477	9	a	a	PRON
ejpam-5567	477	10	)	)	PUNCT
ejpam-5567	477	11	is	be	AUX
ejpam-5567	477	12	said	say	VERB
ejpam-5567	477	13	to	to	PART
ejpam-5567	477	14	be	be	AUX
ejpam-5567	477	15	a	a	DET
ejpam-5567	477	16	ternary	ternary	ADJ
ejpam-5567	477	17	soft	soft	ADJ
ejpam-5567	477	18	neighborhood	neighborhood	NOUN
ejpam-5567	477	19	of	of	ADP
ejpam-5567	477	20	ex	ex	PRON
ejpam-5567	477	21	if	if	SCONJ
ejpam-5567	477	22	there	there	PRON
ejpam-5567	477	23	exists	exist	VERB
ejpam-5567	477	24	a	a	DET
ejpam-5567	477	25	ternary	ternary	ADJ
ejpam-5567	477	26	soft	soft	ADJ
ejpam-5567	477	27	open	open	ADJ
ejpam-5567	477	28	set	set	NOUN
ejpam-5567	477	29	(	(	PUNCT
ejpam-5567	477	30	k	k	NOUN
ejpam-5567	477	31	,	,	PUNCT
ejpam-5567	477	32	a	a	PRON
ejpam-5567	477	33	)	)	PUNCT
ejpam-5567	477	34	such	such	ADJ
ejpam-5567	477	35	that	that	SCONJ
ejpam-5567	477	36	ex	ex	PRON
ejpam-5567	477	37	∈	∈	PROPN
ejpam-5567	477	38	(	(	PUNCT
ejpam-5567	477	39	f	f	X
ejpam-5567	477	40	,	,	PUNCT
ejpam-5567	477	41	a	a	PRON
ejpam-5567	477	42	)	)	PUNCT
ejpam-5567	477	43	˜̃⊆(k	˜̃⊆(k	PROPN
ejpam-5567	477	44	,	,	PUNCT
ejpam-5567	477	45	a	a	PRON
ejpam-5567	477	46	)	)	PUNCT
ejpam-5567	477	47	.	.	PUNCT
ejpam-5567	478	1	theorem	theorem	NOUN
ejpam-5567	478	2	5	5	NUM
ejpam-5567	478	3	.	.	PUNCT
ejpam-5567	479	1	let	let	AUX
ejpam-5567	479	2	(	(	PUNCT
ejpam-5567	479	3	u1	u1	NOUN
ejpam-5567	479	4	,	,	PUNCT
ejpam-5567	479	5	u2	u2	NOUN
ejpam-5567	479	6	,	,	PUNCT
ejpam-5567	479	7	u3	u3	NOUN
ejpam-5567	479	8	,	,	PUNCT
ejpam-5567	479	9	τ∆	τ∆	PROPN
ejpam-5567	479	10	,	,	PUNCT
ejpam-5567	479	11	a	a	PRON
ejpam-5567	479	12	)	)	PUNCT
ejpam-5567	479	13	be	be	AUX
ejpam-5567	479	14	a	a	DET
ejpam-5567	479	15	ternary	ternary	ADJ
ejpam-5567	479	16	soft	soft	ADJ
ejpam-5567	479	17	topological	topological	ADJ
ejpam-5567	479	18	space	space	NOUN
ejpam-5567	479	19	over	over	ADP
ejpam-5567	479	20	u1	u1	PROPN
ejpam-5567	479	21	,	,	PUNCT
ejpam-5567	479	22	u2	u2	NOUN
ejpam-5567	479	23	,	,	PUNCT
ejpam-5567	479	24	u3	u3	PROPN
ejpam-5567	479	25	.	.	PUNCT
ejpam-5567	480	1	let	let	AUX
ejpam-5567	480	2	(	(	PUNCT
ejpam-5567	480	3	f	f	X
ejpam-5567	480	4	,	,	PUNCT
ejpam-5567	480	5	e	e	NOUN
ejpam-5567	480	6	)	)	PUNCT
ejpam-5567	480	7	be	be	AUX
ejpam-5567	480	8	a	a	DET
ejpam-5567	480	9	ternary	ternary	ADJ
ejpam-5567	480	10	soft	soft	ADJ
ejpam-5567	480	11	set	set	NOUN
ejpam-5567	480	12	over	over	ADP
ejpam-5567	480	13	u1	u1	NOUN
ejpam-5567	480	14	,	,	PUNCT
ejpam-5567	480	15	u2	u2	NOUN
ejpam-5567	480	16	,	,	PUNCT
ejpam-5567	480	17	u3	u3	NOUN
ejpam-5567	480	18	,	,	PUNCT
ejpam-5567	480	19	and	and	CCONJ
ejpam-5567	480	20	let	let	VERB
ejpam-5567	480	21	ex	ex	PRON
ejpam-5567	480	22	∈	∈	PROPN
ejpam-5567	480	23	e.	e.	PROPN
ejpam-5567	480	24	if	if	SCONJ
ejpam-5567	480	25	ex	ex	PRON
ejpam-5567	480	26	is	be	AUX
ejpam-5567	480	27	a	a	DET
ejpam-5567	480	28	ternary	ternary	ADJ
ejpam-5567	480	29	soft	soft	ADJ
ejpam-5567	480	30	interior	interior	ADJ
ejpam-5567	480	31	point	point	NOUN
ejpam-5567	480	32	of	of	ADP
ejpam-5567	480	33	(	(	PUNCT
ejpam-5567	480	34	f	f	X
ejpam-5567	480	35	,	,	PUNCT
ejpam-5567	480	36	e	e	NOUN
ejpam-5567	480	37	)	)	PUNCT
ejpam-5567	480	38	,	,	PUNCT
ejpam-5567	480	39	then	then	ADV
ejpam-5567	480	40	ex	ex	NOUN
ejpam-5567	480	41	is	be	AUX
ejpam-5567	480	42	a	a	DET
ejpam-5567	480	43	ternary	ternary	ADJ
ejpam-5567	480	44	soft	soft	ADJ
ejpam-5567	480	45	interior	interior	ADJ
ejpam-5567	480	46	point	point	NOUN
ejpam-5567	480	47	of	of	ADP
ejpam-5567	480	48	(	(	PUNCT
ejpam-5567	480	49	f	f	X
ejpam-5567	480	50	,	,	PUNCT
ejpam-5567	480	51	e)α̃	e)α̃	NOUN
ejpam-5567	480	52	in	in	ADP
ejpam-5567	480	53	(	(	PUNCT
ejpam-5567	480	54	u1	u1	NOUN
ejpam-5567	480	55	,	,	PUNCT
ejpam-5567	480	56	u2	u2	NOUN
ejpam-5567	480	57	,	,	PUNCT
ejpam-5567	480	58	u3	u3	NOUN
ejpam-5567	480	59	,	,	PUNCT
ejpam-5567	480	60	τ∆	τ∆	PROPN
ejpam-5567	480	61	,	,	PUNCT
ejpam-5567	480	62	a	a	PRON
ejpam-5567	480	63	)	)	PUNCT
ejpam-5567	480	64	for	for	ADP
ejpam-5567	480	65	each	each	DET
ejpam-5567	480	66	α̃	α̃	PROPN
ejpam-5567	480	67	∈	∈	PROPN
ejpam-5567	480	68	e.	e.	NOUN
ejpam-5567	481	1	the	the	DET
ejpam-5567	481	2	above	above	ADJ
ejpam-5567	481	3	theorem	theorem	NOUN
ejpam-5567	481	4	is	be	AUX
ejpam-5567	481	5	not	not	PART
ejpam-5567	481	6	true	true	ADJ
ejpam-5567	481	7	in	in	ADP
ejpam-5567	481	8	general	general	ADJ
ejpam-5567	481	9	.	.	PUNCT
ejpam-5567	482	1	m.	m.	NOUN
ejpam-5567	482	2	nawaz	nawaz	PROPN
ejpam-5567	482	3	et	et	PROPN
ejpam-5567	482	4	al	al	PROPN
ejpam-5567	482	5	.	.	PUNCT
ejpam-5567	482	6	/	/	SYM
ejpam-5567	482	7	eur	eur	PROPN
ejpam-5567	482	8	.	.	PUNCT
ejpam-5567	483	1	j.	j.	PROPN
ejpam-5567	483	2	pure	pure	PROPN
ejpam-5567	483	3	appl	appl	PROPN
ejpam-5567	483	4	.	.	PROPN
ejpam-5567	483	5	math	math	PROPN
ejpam-5567	483	6	,	,	PUNCT
ejpam-5567	483	7	18	18	NUM
ejpam-5567	483	8	(	(	PUNCT
ejpam-5567	483	9	1	1	NUM
ejpam-5567	483	10	)	)	PUNCT
ejpam-5567	483	11	(	(	PUNCT
ejpam-5567	483	12	2025	2025	NUM
ejpam-5567	483	13	)	)	PUNCT
ejpam-5567	483	14	,	,	PUNCT
ejpam-5567	483	15	5567	5567	NUM
ejpam-5567	483	16	22	22	NUM
ejpam-5567	483	17	of	of	ADP
ejpam-5567	483	18	45	45	NUM
ejpam-5567	483	19	theorem	theorem	NOUN
ejpam-5567	483	20	6	6	NUM
ejpam-5567	483	21	.	.	PUNCT
ejpam-5567	484	1	let	let	AUX
ejpam-5567	484	2	(	(	PUNCT
ejpam-5567	484	3	u1	u1	NOUN
ejpam-5567	484	4	,	,	PUNCT
ejpam-5567	484	5	u2	u2	NOUN
ejpam-5567	484	6	,	,	PUNCT
ejpam-5567	484	7	u3	u3	NOUN
ejpam-5567	484	8	,	,	PUNCT
ejpam-5567	484	9	τ∆	τ∆	PROPN
ejpam-5567	484	10	,	,	PUNCT
ejpam-5567	484	11	a	a	PRON
ejpam-5567	484	12	)	)	PUNCT
ejpam-5567	484	13	be	be	AUX
ejpam-5567	484	14	a	a	DET
ejpam-5567	484	15	ternary	ternary	ADJ
ejpam-5567	484	16	soft	soft	ADJ
ejpam-5567	484	17	topological	topological	ADJ
ejpam-5567	484	18	space	space	NOUN
ejpam-5567	484	19	over	over	ADP
ejpam-5567	484	20	the	the	DET
ejpam-5567	484	21	initial	initial	ADJ
ejpam-5567	484	22	parameter	parameter	NOUN
ejpam-5567	484	23	(	(	PUNCT
ejpam-5567	484	24	u1	u1	NOUN
ejpam-5567	484	25	,	,	PUNCT
ejpam-5567	484	26	u2	u2	NOUN
ejpam-5567	484	27	,	,	PUNCT
ejpam-5567	484	28	u3	u3	NOUN
ejpam-5567	484	29	)	)	PUNCT
ejpam-5567	484	30	.	.	PUNCT
ejpam-5567	485	1	then	then	ADV
ejpam-5567	485	2	:	:	PUNCT
ejpam-5567	485	3	(	(	PUNCT
ejpam-5567	485	4	i	i	NOUN
ejpam-5567	485	5	)	)	PUNCT
ejpam-5567	485	6	each	each	DET
ejpam-5567	485	7	ex	ex	X
ejpam-5567	485	8	∈	∈	NOUN
ejpam-5567	485	9	e	e	NOUN
ejpam-5567	485	10	has	have	VERB
ejpam-5567	485	11	a	a	DET
ejpam-5567	485	12	ternary	ternary	ADJ
ejpam-5567	485	13	soft	soft	ADJ
ejpam-5567	485	14	neighborhood	neighborhood	NOUN
ejpam-5567	485	15	.	.	PUNCT
ejpam-5567	486	1	(	(	PUNCT
ejpam-5567	486	2	ii	ii	X
ejpam-5567	486	3	)	)	PUNCT
ejpam-5567	486	4	the	the	DET
ejpam-5567	486	5	intersection	intersection	NOUN
ejpam-5567	486	6	of	of	ADP
ejpam-5567	486	7	any	any	DET
ejpam-5567	486	8	two	two	NUM
ejpam-5567	486	9	ternary	ternary	ADJ
ejpam-5567	486	10	soft	soft	ADJ
ejpam-5567	486	11	neighborhoods	neighborhood	NOUN
ejpam-5567	486	12	of	of	ADP
ejpam-5567	486	13	a	a	DET
ejpam-5567	486	14	ternary	ternary	ADJ
ejpam-5567	486	15	soft	soft	ADJ
ejpam-5567	486	16	point	point	NOUN
ejpam-5567	486	17	ex	ex	PRON
ejpam-5567	486	18	is	be	AUX
ejpam-5567	486	19	again	again	ADV
ejpam-5567	486	20	a	a	DET
ejpam-5567	486	21	ternary	ternary	ADJ
ejpam-5567	486	22	soft	soft	ADJ
ejpam-5567	486	23	neighborhood	neighborhood	NOUN
ejpam-5567	486	24	.	.	PUNCT
ejpam-5567	487	1	(	(	PUNCT
ejpam-5567	487	2	iii	iii	X
ejpam-5567	487	3	)	)	PUNCT
ejpam-5567	487	4	every	every	DET
ejpam-5567	487	5	ternary	ternary	ADJ
ejpam-5567	487	6	soft	soft	ADJ
ejpam-5567	487	7	superset	superset	NOUN
ejpam-5567	487	8	of	of	ADP
ejpam-5567	487	9	a	a	DET
ejpam-5567	487	10	ternary	ternary	ADJ
ejpam-5567	487	11	soft	soft	ADJ
ejpam-5567	487	12	neighborhood	neighborhood	NOUN
ejpam-5567	487	13	of	of	ADP
ejpam-5567	487	14	a	a	DET
ejpam-5567	487	15	point	point	NOUN
ejpam-5567	487	16	ex	ex	NOUN
ejpam-5567	487	17	is	be	AUX
ejpam-5567	487	18	again	again	ADV
ejpam-5567	487	19	a	a	DET
ejpam-5567	487	20	ternary	ternary	ADJ
ejpam-5567	487	21	soft	soft	ADJ
ejpam-5567	487	22	neighborhood	neighborhood	NOUN
ejpam-5567	487	23	of	of	ADP
ejpam-5567	487	24	the	the	DET
ejpam-5567	487	25	point	point	NOUN
ejpam-5567	487	26	ex	ex	NOUN
ejpam-5567	487	27	.	.	PUNCT
ejpam-5567	487	28	proof	proof	NOUN
ejpam-5567	487	29	.	.	PUNCT
ejpam-5567	488	1	(	(	PUNCT
ejpam-5567	488	2	i	i	NOUN
ejpam-5567	488	3	)	)	PUNCT
ejpam-5567	488	4	.	.	PUNCT
ejpam-5567	489	1	for	for	ADP
ejpam-5567	489	2	any	any	DET
ejpam-5567	489	3	ex	ex	X
ejpam-5567	489	4	∈	∈	PROPN
ejpam-5567	489	5	˜̃	˜̃	NOUN
ejpam-5567	489	6	x	x	NOUN
ejpam-5567	489	7	,	,	PUNCT
ejpam-5567	489	8	we	we	PRON
ejpam-5567	489	9	have	have	VERB
ejpam-5567	489	10	ex	ex	PRON
ejpam-5567	489	11	∈	∈	NOUN
ejpam-5567	489	12	˜̃	˜̃	NOUN
ejpam-5567	489	13	x	x	NOUN
ejpam-5567	489	14	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	489	15	˜̃	˜̃	NOUN
ejpam-5567	489	16	x.	x.	NOUN
ejpam-5567	490	1	thus	thus	ADV
ejpam-5567	490	2	,	,	PUNCT
ejpam-5567	490	3	˜̃	˜̃	NOUN
ejpam-5567	490	4	x	x	PRON
ejpam-5567	490	5	is	be	AUX
ejpam-5567	490	6	a	a	DET
ejpam-5567	490	7	ternary	ternary	ADJ
ejpam-5567	490	8	soft	soft	ADJ
ejpam-5567	490	9	neighborhood	neighborhood	NOUN
ejpam-5567	490	10	of	of	ADP
ejpam-5567	490	11	ex	ex	PROPN
ejpam-5567	490	12	.	.	PUNCT
ejpam-5567	490	13	(	(	PUNCT
ejpam-5567	490	14	ii	ii	NOUN
ejpam-5567	490	15	)	)	PUNCT
ejpam-5567	490	16	.	.	PUNCT
ejpam-5567	491	1	let	let	AUX
ejpam-5567	491	2	(	(	PUNCT
ejpam-5567	491	3	u1	u1	NOUN
ejpam-5567	491	4	,	,	PUNCT
ejpam-5567	491	5	u2	u2	NOUN
ejpam-5567	491	6	,	,	PUNCT
ejpam-5567	491	7	u3	u3	NOUN
ejpam-5567	491	8	,	,	PUNCT
ejpam-5567	491	9	τ∆	τ∆	PROPN
ejpam-5567	491	10	,	,	PUNCT
ejpam-5567	491	11	a	a	PRON
ejpam-5567	491	12	)	)	PUNCT
ejpam-5567	491	13	be	be	AUX
ejpam-5567	491	14	a	a	DET
ejpam-5567	491	15	ternary	ternary	ADJ
ejpam-5567	491	16	soft	soft	ADJ
ejpam-5567	491	17	topological	topological	ADJ
ejpam-5567	491	18	space	space	NOUN
ejpam-5567	491	19	,	,	PUNCT
ejpam-5567	491	20	and	and	CCONJ
ejpam-5567	491	21	let	let	VERB
ejpam-5567	491	22	ex	ex	PRON
ejpam-5567	491	23	∈	∈	NOUN
ejpam-5567	491	24	e	e	X
ejpam-5567	491	25	be	be	AUX
ejpam-5567	491	26	any	any	DET
ejpam-5567	491	27	ternary	ternary	ADJ
ejpam-5567	491	28	soft	soft	ADJ
ejpam-5567	491	29	point	point	NOUN
ejpam-5567	491	30	.	.	PUNCT
ejpam-5567	492	1	let	let	VERB
ejpam-5567	492	2	(	(	PUNCT
ejpam-5567	492	3	f	f	X
ejpam-5567	492	4	,	,	PUNCT
ejpam-5567	492	5	e	e	NOUN
ejpam-5567	492	6	)	)	PUNCT
ejpam-5567	492	7	and	and	CCONJ
ejpam-5567	492	8	(	(	PUNCT
ejpam-5567	492	9	g	g	NOUN
ejpam-5567	492	10	,	,	PUNCT
ejpam-5567	492	11	e	e	NOUN
ejpam-5567	492	12	)	)	PUNCT
ejpam-5567	492	13	be	be	VERB
ejpam-5567	492	14	any	any	DET
ejpam-5567	492	15	two	two	NUM
ejpam-5567	492	16	ternary	ternary	ADJ
ejpam-5567	492	17	soft	soft	ADJ
ejpam-5567	492	18	neighborhoods	neighborhood	NOUN
ejpam-5567	492	19	of	of	ADP
ejpam-5567	492	20	ex	ex	PROPN
ejpam-5567	492	21	.	.	PUNCT
ejpam-5567	492	22	to	to	PART
ejpam-5567	492	23	prove	prove	VERB
ejpam-5567	492	24	that	that	SCONJ
ejpam-5567	492	25	(	(	PUNCT
ejpam-5567	492	26	f	f	X
ejpam-5567	492	27	,	,	PUNCT
ejpam-5567	492	28	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	492	29	,	,	PUNCT
ejpam-5567	492	30	e	e	NOUN
ejpam-5567	492	31	)	)	PUNCT
ejpam-5567	492	32	is	be	AUX
ejpam-5567	492	33	also	also	ADV
ejpam-5567	492	34	a	a	DET
ejpam-5567	492	35	ternary	ternary	ADJ
ejpam-5567	492	36	soft	soft	ADJ
ejpam-5567	492	37	neighborhood	neighborhood	NOUN
ejpam-5567	492	38	of	of	ADP
ejpam-5567	492	39	ex	ex	NOUN
ejpam-5567	492	40	,	,	PUNCT
ejpam-5567	492	41	we	we	PRON
ejpam-5567	492	42	note	note	VERB
ejpam-5567	492	43	that	that	SCONJ
ejpam-5567	492	44	(	(	PUNCT
ejpam-5567	492	45	f	f	X
ejpam-5567	492	46	,	,	PUNCT
ejpam-5567	492	47	e	e	NOUN
ejpam-5567	492	48	)	)	PUNCT
ejpam-5567	492	49	being	be	AUX
ejpam-5567	492	50	a	a	DET
ejpam-5567	492	51	ternary	ternary	ADJ
ejpam-5567	492	52	soft	soft	ADJ
ejpam-5567	492	53	neighborhood	neighborhood	NOUN
ejpam-5567	492	54	of	of	ADP
ejpam-5567	492	55	ex	ex	PROPN
ejpam-5567	492	56	implies	imply	VERB
ejpam-5567	492	57	there	there	PRON
ejpam-5567	492	58	exists	exist	VERB
ejpam-5567	492	59	a	a	DET
ejpam-5567	492	60	ternary	ternary	ADJ
ejpam-5567	492	61	soft	soft	ADJ
ejpam-5567	492	62	open	open	ADJ
ejpam-5567	492	63	set	set	NOUN
ejpam-5567	492	64	(	(	PUNCT
ejpam-5567	492	65	k	k	NOUN
ejpam-5567	492	66	,	,	PUNCT
ejpam-5567	492	67	e	e	NOUN
ejpam-5567	492	68	)	)	PUNCT
ejpam-5567	492	69	such	such	ADJ
ejpam-5567	492	70	that	that	SCONJ
ejpam-5567	492	71	ex	ex	PRON
ejpam-5567	492	72	∈	∈	PROPN
ejpam-5567	492	73	(	(	PUNCT
ejpam-5567	492	74	k	k	X
ejpam-5567	492	75	,	,	PUNCT
ejpam-5567	492	76	e	e	NOUN
ejpam-5567	492	77	)	)	PUNCT
ejpam-5567	492	78	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	492	79	,	,	PUNCT
ejpam-5567	492	80	e	e	NOUN
ejpam-5567	492	81	)	)	PUNCT
ejpam-5567	492	82	.	.	PUNCT
ejpam-5567	493	1	similarly	similarly	ADV
ejpam-5567	493	2	,	,	PUNCT
ejpam-5567	493	3	(	(	PUNCT
ejpam-5567	493	4	g	g	NOUN
ejpam-5567	493	5	,	,	PUNCT
ejpam-5567	493	6	e	e	NOUN
ejpam-5567	493	7	)	)	PUNCT
ejpam-5567	493	8	is	be	AUX
ejpam-5567	493	9	a	a	DET
ejpam-5567	493	10	ternary	ternary	ADJ
ejpam-5567	493	11	soft	soft	ADJ
ejpam-5567	493	12	neighborhood	neighborhood	NOUN
ejpam-5567	493	13	of	of	ADP
ejpam-5567	493	14	ex	ex	NOUN
ejpam-5567	493	15	,	,	PUNCT
ejpam-5567	493	16	implying	imply	VERB
ejpam-5567	493	17	there	there	ADV
ejpam-5567	493	18	exists	exist	VERB
ejpam-5567	493	19	a	a	DET
ejpam-5567	493	20	ternary	ternary	ADJ
ejpam-5567	493	21	soft	soft	ADJ
ejpam-5567	493	22	open	open	ADJ
ejpam-5567	493	23	set	set	NOUN
ejpam-5567	493	24	(	(	PUNCT
ejpam-5567	493	25	l	l	NOUN
ejpam-5567	493	26	,	,	PUNCT
ejpam-5567	493	27	e	e	NOUN
ejpam-5567	493	28	)	)	PUNCT
ejpam-5567	493	29	such	such	ADJ
ejpam-5567	493	30	that	that	SCONJ
ejpam-5567	493	31	ex	ex	X
ejpam-5567	493	32	∈	∈	PROPN
ejpam-5567	493	33	(	(	PUNCT
ejpam-5567	493	34	l	l	NOUN
ejpam-5567	493	35	,	,	PUNCT
ejpam-5567	493	36	e	e	NOUN
ejpam-5567	493	37	)	)	PUNCT
ejpam-5567	493	38	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	493	39	,	,	PUNCT
ejpam-5567	493	40	e	e	NOUN
ejpam-5567	493	41	)	)	PUNCT
ejpam-5567	493	42	.	.	PUNCT
ejpam-5567	494	1	now	now	ADV
ejpam-5567	494	2	,	,	PUNCT
ejpam-5567	494	3	(	(	PUNCT
ejpam-5567	494	4	k	k	X
ejpam-5567	494	5	,	,	PUNCT
ejpam-5567	494	6	e)˜̃∩	e)˜̃∩	ADV
ejpam-5567	494	7	(	(	PUNCT
ejpam-5567	494	8	l	l	NOUN
ejpam-5567	494	9	,	,	PUNCT
ejpam-5567	494	10	e	e	NOUN
ejpam-5567	494	11	)	)	PUNCT
ejpam-5567	494	12	is	be	AUX
ejpam-5567	494	13	a	a	DET
ejpam-5567	494	14	ternary	ternary	ADJ
ejpam-5567	494	15	soft	soft	ADJ
ejpam-5567	494	16	open	open	ADJ
ejpam-5567	494	17	set	set	NOUN
ejpam-5567	494	18	,	,	PUNCT
ejpam-5567	494	19	and	and	CCONJ
ejpam-5567	494	20	from	from	ADP
ejpam-5567	494	21	the	the	DET
ejpam-5567	494	22	previous	previous	ADJ
ejpam-5567	494	23	conditions	condition	NOUN
ejpam-5567	494	24	,	,	PUNCT
ejpam-5567	494	25	we	we	PRON
ejpam-5567	494	26	have	have	VERB
ejpam-5567	494	27	ex	ex	PRON
ejpam-5567	494	28	∈	∈	NOUN
ejpam-5567	495	1	[	[	X
ejpam-5567	495	2	(	(	PUNCT
ejpam-5567	495	3	k	k	X
ejpam-5567	495	4	,	,	PUNCT
ejpam-5567	495	5	e)˜̃∩	e)˜̃∩	ADV
ejpam-5567	495	6	(	(	PUNCT
ejpam-5567	495	7	l	l	NOUN
ejpam-5567	495	8	,	,	PUNCT
ejpam-5567	495	9	e	e	NOUN
ejpam-5567	495	10	)	)	PUNCT
ejpam-5567	495	11	]	]	X
ejpam-5567	495	12	˜̃⊆[(f	˜̃⊆[(f	ADJ
ejpam-5567	495	13	,	,	PUNCT
ejpam-5567	495	14	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	495	15	,	,	PUNCT
ejpam-5567	495	16	e	e	NOUN
ejpam-5567	495	17	)	)	PUNCT
ejpam-5567	495	18	]	]	PUNCT
ejpam-5567	495	19	.	.	PUNCT
ejpam-5567	496	1	thus	thus	ADV
ejpam-5567	496	2	,	,	PUNCT
ejpam-5567	496	3	there	there	PRON
ejpam-5567	496	4	exists	exist	VERB
ejpam-5567	496	5	a	a	DET
ejpam-5567	496	6	ternary	ternary	ADJ
ejpam-5567	496	7	soft	soft	ADJ
ejpam-5567	496	8	open	open	ADJ
ejpam-5567	496	9	set	set	NOUN
ejpam-5567	496	10	[	[	X
ejpam-5567	496	11	(	(	PUNCT
ejpam-5567	496	12	k	k	NOUN
ejpam-5567	496	13	,	,	PUNCT
ejpam-5567	496	14	e)˜̃∩	e)˜̃∩	ADV
ejpam-5567	496	15	(	(	PUNCT
ejpam-5567	496	16	l	l	NOUN
ejpam-5567	496	17	,	,	PUNCT
ejpam-5567	496	18	e	e	NOUN
ejpam-5567	496	19	)	)	PUNCT
ejpam-5567	496	20	]	]	PUNCT
ejpam-5567	496	21	such	such	ADJ
ejpam-5567	496	22	that	that	SCONJ
ejpam-5567	496	23	ex	ex	X
ejpam-5567	496	24	∈	∈	PROPN
ejpam-5567	497	1	[	[	X
ejpam-5567	497	2	(	(	PUNCT
ejpam-5567	497	3	k	k	X
ejpam-5567	497	4	,	,	PUNCT
ejpam-5567	497	5	e)˜̃∩	e)˜̃∩	ADV
ejpam-5567	497	6	(	(	PUNCT
ejpam-5567	497	7	l	l	NOUN
ejpam-5567	497	8	,	,	PUNCT
ejpam-5567	497	9	e	e	NOUN
ejpam-5567	497	10	)	)	PUNCT
ejpam-5567	497	11	]	]	X
ejpam-5567	497	12	˜̃⊆[(f	˜̃⊆[(f	ADJ
ejpam-5567	497	13	,	,	PUNCT
ejpam-5567	497	14	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	497	15	,	,	PUNCT
ejpam-5567	497	16	e	e	NOUN
ejpam-5567	497	17	)	)	PUNCT
ejpam-5567	497	18	]	]	PUNCT
ejpam-5567	497	19	.	.	PUNCT
ejpam-5567	498	1	from	from	ADP
ejpam-5567	498	2	the	the	DET
ejpam-5567	498	3	definition	definition	NOUN
ejpam-5567	498	4	of	of	ADP
ejpam-5567	498	5	a	a	DET
ejpam-5567	498	6	ternary	ternary	ADJ
ejpam-5567	498	7	soft	soft	ADJ
ejpam-5567	498	8	neighborhood	neighborhood	NOUN
ejpam-5567	498	9	,	,	PUNCT
ejpam-5567	498	10	it	it	PRON
ejpam-5567	498	11	follows	follow	VERB
ejpam-5567	498	12	that	that	SCONJ
ejpam-5567	498	13	(	(	PUNCT
ejpam-5567	498	14	f	f	X
ejpam-5567	498	15	,	,	PUNCT
ejpam-5567	498	16	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	498	17	,	,	PUNCT
ejpam-5567	498	18	e	e	NOUN
ejpam-5567	498	19	)	)	PUNCT
ejpam-5567	498	20	is	be	AUX
ejpam-5567	498	21	a	a	DET
ejpam-5567	498	22	ternary	ternary	ADJ
ejpam-5567	498	23	soft	soft	ADJ
ejpam-5567	498	24	neighborhood	neighborhood	NOUN
ejpam-5567	498	25	of	of	ADP
ejpam-5567	498	26	ex	ex	PROPN
ejpam-5567	498	27	.	.	PROPN
ejpam-5567	499	1	hence	hence	ADV
ejpam-5567	499	2	,	,	PUNCT
ejpam-5567	499	3	the	the	DET
ejpam-5567	499	4	intersection	intersection	NOUN
ejpam-5567	499	5	of	of	ADP
ejpam-5567	499	6	any	any	DET
ejpam-5567	499	7	two	two	NUM
ejpam-5567	499	8	ternary	ternary	ADJ
ejpam-5567	499	9	soft	soft	ADJ
ejpam-5567	499	10	neighborhoods	neighborhood	NOUN
ejpam-5567	499	11	is	be	AUX
ejpam-5567	499	12	again	again	ADV
ejpam-5567	499	13	a	a	DET
ejpam-5567	499	14	ternary	ternary	ADJ
ejpam-5567	499	15	soft	soft	ADJ
ejpam-5567	499	16	neighborhood	neighborhood	NOUN
ejpam-5567	499	17	.	.	PUNCT
ejpam-5567	500	1	(	(	PUNCT
ejpam-5567	500	2	iii	iii	NOUN
ejpam-5567	500	3	)	)	PUNCT
ejpam-5567	500	4	.	.	PUNCT
ejpam-5567	501	1	let	let	AUX
ejpam-5567	501	2	(	(	PUNCT
ejpam-5567	501	3	u1	u1	NOUN
ejpam-5567	501	4	,	,	PUNCT
ejpam-5567	501	5	u2	u2	NOUN
ejpam-5567	501	6	,	,	PUNCT
ejpam-5567	501	7	u3	u3	NOUN
ejpam-5567	501	8	,	,	PUNCT
ejpam-5567	501	9	τ∆	τ∆	NOUN
ejpam-5567	501	10	,	,	PUNCT
ejpam-5567	501	11	e	e	X
ejpam-5567	501	12	)	)	PUNCT
ejpam-5567	501	13	be	be	AUX
ejpam-5567	501	14	a	a	DET
ejpam-5567	501	15	ternary	ternary	ADJ
ejpam-5567	501	16	soft	soft	ADJ
ejpam-5567	501	17	topological	topological	ADJ
ejpam-5567	501	18	space	space	NOUN
ejpam-5567	501	19	,	,	PUNCT
ejpam-5567	501	20	and	and	CCONJ
ejpam-5567	501	21	let	let	VERB
ejpam-5567	501	22	ex	ex	PRON
ejpam-5567	501	23	∈	∈	NOUN
ejpam-5567	501	24	e	e	X
ejpam-5567	501	25	be	be	AUX
ejpam-5567	501	26	any	any	DET
ejpam-5567	501	27	ternary	ternary	ADJ
ejpam-5567	501	28	soft	soft	ADJ
ejpam-5567	501	29	point	point	NOUN
ejpam-5567	501	30	.	.	PUNCT
ejpam-5567	502	1	let	let	AUX
ejpam-5567	502	2	(	(	PUNCT
ejpam-5567	502	3	f	f	X
ejpam-5567	502	4	,	,	PUNCT
ejpam-5567	502	5	e	e	NOUN
ejpam-5567	502	6	)	)	PUNCT
ejpam-5567	502	7	be	be	AUX
ejpam-5567	502	8	a	a	DET
ejpam-5567	502	9	ternary	ternary	ADJ
ejpam-5567	502	10	soft	soft	ADJ
ejpam-5567	502	11	neighborhood	neighborhood	NOUN
ejpam-5567	502	12	of	of	ADP
ejpam-5567	502	13	ex	ex	NOUN
ejpam-5567	502	14	,	,	PUNCT
ejpam-5567	502	15	and	and	CCONJ
ejpam-5567	502	16	let	let	VERB
ejpam-5567	502	17	(	(	PUNCT
ejpam-5567	502	18	g	g	NOUN
ejpam-5567	502	19	,	,	PUNCT
ejpam-5567	502	20	e	e	NOUN
ejpam-5567	502	21	)	)	PUNCT
ejpam-5567	502	22	be	be	VERB
ejpam-5567	502	23	any	any	DET
ejpam-5567	502	24	ternary	ternary	ADJ
ejpam-5567	502	25	soft	soft	ADJ
ejpam-5567	502	26	superset	superset	NOUN
ejpam-5567	502	27	of	of	ADP
ejpam-5567	502	28	(	(	PUNCT
ejpam-5567	502	29	f	f	X
ejpam-5567	502	30	,	,	PUNCT
ejpam-5567	502	31	e	e	NOUN
ejpam-5567	502	32	)	)	PUNCT
ejpam-5567	502	33	.	.	PUNCT
ejpam-5567	503	1	since	since	SCONJ
ejpam-5567	503	2	(	(	PUNCT
ejpam-5567	503	3	g	g	NOUN
ejpam-5567	503	4	,	,	PUNCT
ejpam-5567	503	5	e	e	NOUN
ejpam-5567	503	6	)	)	PUNCT
ejpam-5567	503	7	is	be	AUX
ejpam-5567	503	8	also	also	ADV
ejpam-5567	503	9	a	a	DET
ejpam-5567	503	10	ternary	ternary	ADJ
ejpam-5567	503	11	soft	soft	ADJ
ejpam-5567	503	12	neighborhood	neighborhood	NOUN
ejpam-5567	503	13	of	of	ADP
ejpam-5567	503	14	ex	ex	NOUN
ejpam-5567	503	15	,	,	PUNCT
ejpam-5567	503	16	there	there	PRON
ejpam-5567	503	17	exists	exist	VERB
ejpam-5567	503	18	a	a	DET
ejpam-5567	503	19	ternary	ternary	ADJ
ejpam-5567	503	20	soft	soft	ADJ
ejpam-5567	503	21	open	open	ADJ
ejpam-5567	503	22	set	set	NOUN
ejpam-5567	503	23	(	(	PUNCT
ejpam-5567	503	24	h	h	NOUN
ejpam-5567	503	25	,	,	PUNCT
ejpam-5567	503	26	e	e	NOUN
ejpam-5567	503	27	)	)	PUNCT
ejpam-5567	503	28	such	such	ADJ
ejpam-5567	503	29	that	that	SCONJ
ejpam-5567	503	30	ex	ex	PRON
ejpam-5567	503	31	∈	∈	PROPN
ejpam-5567	503	32	(	(	PUNCT
ejpam-5567	503	33	h	h	NOUN
ejpam-5567	503	34	,	,	PUNCT
ejpam-5567	503	35	e	e	NOUN
ejpam-5567	503	36	)	)	PUNCT
ejpam-5567	503	37	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	503	38	,	,	PUNCT
ejpam-5567	503	39	e	e	NOUN
ejpam-5567	503	40	)	)	PUNCT
ejpam-5567	503	41	.	.	PUNCT
ejpam-5567	504	1	now	now	ADV
ejpam-5567	504	2	,	,	PUNCT
ejpam-5567	504	3	(	(	PUNCT
ejpam-5567	504	4	f	f	X
ejpam-5567	504	5	,	,	PUNCT
ejpam-5567	504	6	e	e	NOUN
ejpam-5567	504	7	)	)	PUNCT
ejpam-5567	504	8	being	be	AUX
ejpam-5567	504	9	a	a	DET
ejpam-5567	504	10	ternary	ternary	ADJ
ejpam-5567	504	11	soft	soft	ADJ
ejpam-5567	504	12	subset	subset	NOUN
ejpam-5567	504	13	of	of	ADP
ejpam-5567	504	14	(	(	PUNCT
ejpam-5567	504	15	g	g	PROPN
ejpam-5567	504	16	,	,	PUNCT
ejpam-5567	504	17	e	e	NOUN
ejpam-5567	504	18	)	)	PUNCT
ejpam-5567	504	19	implies	imply	VERB
ejpam-5567	504	20	(	(	PUNCT
ejpam-5567	504	21	g	g	NOUN
ejpam-5567	504	22	,	,	PUNCT
ejpam-5567	504	23	e	e	NOUN
ejpam-5567	504	24	)	)	PUNCT
ejpam-5567	504	25	˜̃⊇(f	˜̃⊇(f	NUM
ejpam-5567	504	26	,	,	PUNCT
ejpam-5567	504	27	e	e	NOUN
ejpam-5567	504	28	)	)	PUNCT
ejpam-5567	504	29	,	,	PUNCT
ejpam-5567	504	30	which	which	PRON
ejpam-5567	504	31	gives	give	VERB
ejpam-5567	504	32	(	(	PUNCT
ejpam-5567	504	33	f	f	X
ejpam-5567	504	34	,	,	PUNCT
ejpam-5567	504	35	e	e	NOUN
ejpam-5567	504	36	)	)	PUNCT
ejpam-5567	504	37	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	504	38	,	,	PUNCT
ejpam-5567	504	39	e	e	NOUN
ejpam-5567	504	40	)	)	PUNCT
ejpam-5567	504	41	.	.	PUNCT
ejpam-5567	505	1	from	from	ADP
ejpam-5567	505	2	the	the	DET
ejpam-5567	505	3	previous	previous	ADJ
ejpam-5567	505	4	results	result	NOUN
ejpam-5567	505	5	,	,	PUNCT
ejpam-5567	505	6	we	we	PRON
ejpam-5567	505	7	have	have	VERB
ejpam-5567	505	8	ex	ex	PRON
ejpam-5567	505	9	∈	∈	NOUN
ejpam-5567	505	10	(	(	PUNCT
ejpam-5567	505	11	h	h	NOUN
ejpam-5567	505	12	,	,	PUNCT
ejpam-5567	505	13	e	e	NOUN
ejpam-5567	505	14	)	)	PUNCT
ejpam-5567	505	15	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	505	16	,	,	PUNCT
ejpam-5567	505	17	e	e	NOUN
ejpam-5567	505	18	)	)	PUNCT
ejpam-5567	505	19	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	505	20	,	,	PUNCT
ejpam-5567	505	21	e	e	NOUN
ejpam-5567	505	22	)	)	PUNCT
ejpam-5567	505	23	,	,	PUNCT
ejpam-5567	505	24	which	which	PRON
ejpam-5567	505	25	implies	imply	VERB
ejpam-5567	505	26	ex	ex	PRON
ejpam-5567	505	27	∈	∈	PROPN
ejpam-5567	505	28	(	(	PUNCT
ejpam-5567	505	29	h	h	NOUN
ejpam-5567	505	30	,	,	PUNCT
ejpam-5567	505	31	e	e	NOUN
ejpam-5567	505	32	)	)	PUNCT
ejpam-5567	505	33	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	505	34	,	,	PUNCT
ejpam-5567	505	35	e	e	NOUN
ejpam-5567	505	36	)	)	PUNCT
ejpam-5567	505	37	.	.	PUNCT
ejpam-5567	506	1	therefore	therefore	ADV
ejpam-5567	506	2	,	,	PUNCT
ejpam-5567	506	3	there	there	PRON
ejpam-5567	506	4	exists	exist	VERB
ejpam-5567	506	5	a	a	DET
ejpam-5567	506	6	ternary	ternary	ADJ
ejpam-5567	506	7	soft	soft	ADJ
ejpam-5567	506	8	open	open	ADJ
ejpam-5567	506	9	set	set	NOUN
ejpam-5567	506	10	(	(	PUNCT
ejpam-5567	506	11	h	h	NOUN
ejpam-5567	506	12	,	,	PUNCT
ejpam-5567	506	13	e	e	NOUN
ejpam-5567	506	14	)	)	PUNCT
ejpam-5567	506	15	such	such	ADJ
ejpam-5567	506	16	that	that	SCONJ
ejpam-5567	506	17	ex	ex	PRON
ejpam-5567	506	18	∈	∈	PROPN
ejpam-5567	506	19	(	(	PUNCT
ejpam-5567	506	20	h	h	NOUN
ejpam-5567	506	21	,	,	PUNCT
ejpam-5567	506	22	e	e	NOUN
ejpam-5567	506	23	)	)	PUNCT
ejpam-5567	506	24	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	506	25	,	,	PUNCT
ejpam-5567	506	26	e	e	NOUN
ejpam-5567	506	27	)	)	PUNCT
ejpam-5567	506	28	.	.	PUNCT
ejpam-5567	507	1	hence	hence	ADV
ejpam-5567	507	2	,	,	PUNCT
ejpam-5567	507	3	(	(	PUNCT
ejpam-5567	507	4	g	g	NOUN
ejpam-5567	507	5	,	,	PUNCT
ejpam-5567	507	6	e	e	NOUN
ejpam-5567	507	7	)	)	PUNCT
ejpam-5567	507	8	is	be	AUX
ejpam-5567	507	9	a	a	DET
ejpam-5567	507	10	ternary	ternary	ADJ
ejpam-5567	507	11	soft	soft	ADJ
ejpam-5567	507	12	neighborhood	neighborhood	NOUN
ejpam-5567	507	13	of	of	ADP
ejpam-5567	507	14	ex	ex	PROPN
ejpam-5567	507	15	.	.	PUNCT
ejpam-5567	508	1	thus	thus	ADV
ejpam-5567	508	2	,	,	PUNCT
ejpam-5567	508	3	every	every	DET
ejpam-5567	508	4	ternary	ternary	ADJ
ejpam-5567	508	5	soft	soft	ADJ
ejpam-5567	508	6	superset	superset	NOUN
ejpam-5567	508	7	of	of	ADP
ejpam-5567	508	8	a	a	DET
ejpam-5567	508	9	ternary	ternary	ADJ
ejpam-5567	508	10	soft	soft	ADJ
ejpam-5567	508	11	neighborhood	neighborhood	NOUN
ejpam-5567	508	12	is	be	AUX
ejpam-5567	508	13	again	again	ADV
ejpam-5567	508	14	a	a	DET
ejpam-5567	508	15	ternary	ternary	ADJ
ejpam-5567	508	16	soft	soft	ADJ
ejpam-5567	508	17	neighborhood	neighborhood	NOUN
ejpam-5567	508	18	of	of	ADP
ejpam-5567	508	19	that	that	DET
ejpam-5567	508	20	point	point	NOUN
ejpam-5567	508	21	.	.	PUNCT
ejpam-5567	509	1	theorem	theorem	VERB
ejpam-5567	509	2	7	7	NUM
ejpam-5567	509	3	.	.	PUNCT
ejpam-5567	510	1	let	let	AUX
ejpam-5567	510	2	(	(	PUNCT
ejpam-5567	510	3	u1	u1	NOUN
ejpam-5567	510	4	,	,	PUNCT
ejpam-5567	510	5	u2	u2	NOUN
ejpam-5567	510	6	,	,	PUNCT
ejpam-5567	510	7	u3	u3	NOUN
ejpam-5567	510	8	,	,	PUNCT
ejpam-5567	510	9	τ∆	τ∆	NOUN
ejpam-5567	510	10	,	,	PUNCT
ejpam-5567	510	11	e	e	X
ejpam-5567	510	12	)	)	PUNCT
ejpam-5567	510	13	be	be	AUX
ejpam-5567	510	14	a	a	DET
ejpam-5567	510	15	ternary	ternary	ADJ
ejpam-5567	510	16	soft	soft	ADJ
ejpam-5567	510	17	topological	topological	ADJ
ejpam-5567	510	18	space	space	NOUN
ejpam-5567	510	19	.	.	PUNCT
ejpam-5567	511	1	let	let	VERB
ejpam-5567	511	2	(	(	PUNCT
ejpam-5567	511	3	f	f	X
ejpam-5567	511	4	,	,	PUNCT
ejpam-5567	511	5	e	e	NOUN
ejpam-5567	511	6	)	)	PUNCT
ejpam-5567	511	7	be	be	VERB
ejpam-5567	511	8	any	any	DET
ejpam-5567	511	9	ternary	ternary	ADJ
ejpam-5567	511	10	soft	soft	ADJ
ejpam-5567	511	11	subset	subset	NOUN
ejpam-5567	511	12	over	over	ADP
ejpam-5567	511	13	u1	u1	PROPN
ejpam-5567	511	14	,	,	PUNCT
ejpam-5567	511	15	u2	u2	NOUN
ejpam-5567	511	16	,	,	PUNCT
ejpam-5567	511	17	u3	u3	NOUN
ejpam-5567	511	18	.	.	PUNCT
ejpam-5567	512	1	then	then	ADV
ejpam-5567	512	2	the	the	DET
ejpam-5567	512	3	following	follow	VERB
ejpam-5567	512	4	hold	hold	VERB
ejpam-5567	512	5	true	true	ADJ
ejpam-5567	512	6	:	:	PUNCT
ejpam-5567	512	7	(	(	PUNCT
ejpam-5567	512	8	i	i	NOUN
ejpam-5567	512	9	)	)	PUNCT
ejpam-5567	512	10	(	(	PUNCT
ejpam-5567	512	11	f	f	X
ejpam-5567	512	12	,	,	PUNCT
ejpam-5567	512	13	e	e	NOUN
ejpam-5567	512	14	)	)	PUNCT
ejpam-5567	512	15	◦	◦	NOUN
ejpam-5567	512	16	is	be	AUX
ejpam-5567	512	17	a	a	DET
ejpam-5567	512	18	ternary	ternary	ADJ
ejpam-5567	512	19	soft	soft	ADJ
ejpam-5567	512	20	open	open	ADJ
ejpam-5567	512	21	set	set	NOUN
ejpam-5567	512	22	contained	contain	VERB
ejpam-5567	512	23	in	in	ADP
ejpam-5567	512	24	(	(	PUNCT
ejpam-5567	512	25	f	f	X
ejpam-5567	512	26	,	,	PUNCT
ejpam-5567	512	27	e	e	NOUN
ejpam-5567	512	28	)	)	PUNCT
ejpam-5567	512	29	,	,	PUNCT
ejpam-5567	512	30	i.e.	i.e.	X
ejpam-5567	512	31	(	(	PUNCT
ejpam-5567	512	32	f	f	X
ejpam-5567	512	33	,	,	PUNCT
ejpam-5567	512	34	e	e	NOUN
ejpam-5567	512	35	)	)	PUNCT
ejpam-5567	512	36	◦	◦	NOUN
ejpam-5567	512	37	is	be	AUX
ejpam-5567	512	38	a	a	DET
ejpam-5567	512	39	ternary	ternary	ADJ
ejpam-5567	512	40	soft	soft	ADJ
ejpam-5567	512	41	open	open	ADJ
ejpam-5567	512	42	set	set	NOUN
ejpam-5567	512	43	and	and	CCONJ
ejpam-5567	512	44	(	(	PUNCT
ejpam-5567	512	45	f	f	X
ejpam-5567	512	46	,	,	PUNCT
ejpam-5567	512	47	e	e	NOUN
ejpam-5567	512	48	)	)	PUNCT
ejpam-5567	512	49	◦	◦	NOUN
ejpam-5567	512	50	˜̃⊆(f	˜̃⊆(f	PROPN
ejpam-5567	512	51	,	,	PUNCT
ejpam-5567	512	52	e	e	NOUN
ejpam-5567	512	53	)	)	PUNCT
ejpam-5567	512	54	.	.	PUNCT
ejpam-5567	513	1	(	(	PUNCT
ejpam-5567	513	2	ii	ii	NOUN
ejpam-5567	513	3	)	)	PUNCT
ejpam-5567	513	4	(	(	PUNCT
ejpam-5567	513	5	f	f	X
ejpam-5567	513	6	,	,	PUNCT
ejpam-5567	513	7	e	e	NOUN
ejpam-5567	513	8	)	)	PUNCT
ejpam-5567	513	9	◦	◦	NOUN
ejpam-5567	513	10	is	be	AUX
ejpam-5567	513	11	the	the	DET
ejpam-5567	513	12	largest	large	ADJ
ejpam-5567	513	13	ternary	ternary	ADJ
ejpam-5567	513	14	soft	soft	ADJ
ejpam-5567	513	15	open	open	ADJ
ejpam-5567	513	16	set	set	NOUN
ejpam-5567	513	17	contained	contain	VERB
ejpam-5567	513	18	in	in	ADP
ejpam-5567	513	19	(	(	PUNCT
ejpam-5567	513	20	f	f	X
ejpam-5567	513	21	,	,	PUNCT
ejpam-5567	513	22	e	e	NOUN
ejpam-5567	513	23	)	)	PUNCT
ejpam-5567	513	24	.	.	PUNCT
ejpam-5567	514	1	m.	m.	NOUN
ejpam-5567	514	2	nawaz	nawaz	PROPN
ejpam-5567	514	3	et	et	PROPN
ejpam-5567	514	4	al	al	PROPN
ejpam-5567	514	5	.	.	PUNCT
ejpam-5567	514	6	/	/	SYM
ejpam-5567	514	7	eur	eur	PROPN
ejpam-5567	514	8	.	.	PUNCT
ejpam-5567	515	1	j.	j.	PROPN
ejpam-5567	515	2	pure	pure	PROPN
ejpam-5567	515	3	appl	appl	PROPN
ejpam-5567	515	4	.	.	PROPN
ejpam-5567	515	5	math	math	PROPN
ejpam-5567	515	6	,	,	PUNCT
ejpam-5567	515	7	18	18	NUM
ejpam-5567	515	8	(	(	PUNCT
ejpam-5567	515	9	1	1	NUM
ejpam-5567	515	10	)	)	PUNCT
ejpam-5567	515	11	(	(	PUNCT
ejpam-5567	515	12	2025	2025	NUM
ejpam-5567	515	13	)	)	PUNCT
ejpam-5567	515	14	,	,	PUNCT
ejpam-5567	515	15	5567	5567	NUM
ejpam-5567	515	16	23	23	NUM
ejpam-5567	515	17	of	of	ADP
ejpam-5567	515	18	45	45	NUM
ejpam-5567	515	19	(	(	PUNCT
ejpam-5567	515	20	iii	iii	NOUN
ejpam-5567	515	21	)	)	PUNCT
ejpam-5567	515	22	(	(	PUNCT
ejpam-5567	515	23	f	f	X
ejpam-5567	515	24	,	,	PUNCT
ejpam-5567	515	25	e	e	NOUN
ejpam-5567	515	26	)	)	PUNCT
ejpam-5567	515	27	is	be	AUX
ejpam-5567	515	28	ternary	ternary	ADJ
ejpam-5567	515	29	soft	soft	ADJ
ejpam-5567	515	30	open	open	ADJ
ejpam-5567	515	31	if	if	SCONJ
ejpam-5567	515	32	and	and	CCONJ
ejpam-5567	515	33	only	only	ADV
ejpam-5567	515	34	if	if	SCONJ
ejpam-5567	515	35	(	(	PUNCT
ejpam-5567	515	36	f	f	X
ejpam-5567	515	37	,	,	PUNCT
ejpam-5567	515	38	e	e	NOUN
ejpam-5567	515	39	)	)	PUNCT
ejpam-5567	515	40	˜̃=(f	˜̃=(f	NOUN
ejpam-5567	515	41	,	,	PUNCT
ejpam-5567	515	42	e)	e)	PROPN
ejpam-5567	515	43	◦	◦	NOUN
ejpam-5567	515	44	.	.	PUNCT
ejpam-5567	516	1	proof	proof	NOUN
ejpam-5567	516	2	.	.	PUNCT
ejpam-5567	517	1	by	by	ADP
ejpam-5567	517	2	the	the	DET
ejpam-5567	517	3	definition	definition	NOUN
ejpam-5567	517	4	of	of	ADP
ejpam-5567	517	5	ternary	ternary	ADJ
ejpam-5567	517	6	soft	soft	ADJ
ejpam-5567	517	7	interior	interior	NOUN
ejpam-5567	517	8	,	,	PUNCT
ejpam-5567	517	9	we	we	PRON
ejpam-5567	517	10	have	have	VERB
ejpam-5567	517	11	(	(	PUNCT
ejpam-5567	517	12	f	f	X
ejpam-5567	517	13	,	,	PUNCT
ejpam-5567	517	14	e	e	NOUN
ejpam-5567	517	15	)	)	PUNCT
ejpam-5567	517	16	◦	◦	NOUN
ejpam-5567	517	17	=	=	SYM
ejpam-5567	517	18	˜̃∪λ∈a(h	˜̃∪λ∈a(h	NOUN
ejpam-5567	517	19	,	,	PUNCT
ejpam-5567	517	20	e)λ	e)λ	NOUN
ejpam-5567	517	21	,	,	PUNCT
ejpam-5567	517	22	where	where	SCONJ
ejpam-5567	517	23	{	{	PUNCT
ejpam-5567	517	24	(	(	PUNCT
ejpam-5567	517	25	h	h	NOUN
ejpam-5567	517	26	,	,	PUNCT
ejpam-5567	517	27	e)λ	e)λ	NOUN
ejpam-5567	517	28	}	}	PUNCT
ejpam-5567	517	29	:	:	PUNCT
ejpam-5567	517	30	λ	λ	X
ejpam-5567	517	31	∈	∈	PROPN
ejpam-5567	517	32	a	a	PRON
ejpam-5567	517	33	is	be	AUX
ejpam-5567	517	34	the	the	DET
ejpam-5567	517	35	family	family	NOUN
ejpam-5567	517	36	of	of	ADP
ejpam-5567	517	37	all	all	DET
ejpam-5567	517	38	ternary	ternary	ADJ
ejpam-5567	517	39	soft	soft	ADJ
ejpam-5567	517	40	open	open	ADJ
ejpam-5567	517	41	sets	set	NOUN
ejpam-5567	517	42	contained	contain	VERB
ejpam-5567	517	43	in	in	ADP
ejpam-5567	517	44	(	(	PUNCT
ejpam-5567	517	45	f	f	X
ejpam-5567	517	46	,	,	PUNCT
ejpam-5567	517	47	e	e	NOUN
ejpam-5567	517	48	)	)	PUNCT
ejpam-5567	517	49	.	.	PUNCT
ejpam-5567	518	1	(	(	PUNCT
ejpam-5567	518	2	h	h	NOUN
ejpam-5567	518	3	,	,	PUNCT
ejpam-5567	518	4	e)λ	e)λ	NOUN
ejpam-5567	518	5	˜̃⊆(f	˜̃⊆(f	PROPN
ejpam-5567	518	6	,	,	PUNCT
ejpam-5567	518	7	e	e	NOUN
ejpam-5567	518	8	)	)	PUNCT
ejpam-5567	518	9	∀	∀	PUNCT
ejpam-5567	519	1	λ	λ	NOUN
ejpam-5567	519	2	∈	∈	NOUN
ejpam-5567	519	3	λ	λ	NOUN
ejpam-5567	519	4	implies	imply	VERB
ejpam-5567	519	5	the	the	DET
ejpam-5567	519	6	union	union	NOUN
ejpam-5567	519	7	of	of	ADP
ejpam-5567	519	8	all	all	DET
ejpam-5567	519	9	ternary	ternary	ADJ
ejpam-5567	519	10	soft	soft	ADJ
ejpam-5567	519	11	open	open	ADJ
ejpam-5567	519	12	sets	set	NOUN
ejpam-5567	519	13	implies	imply	VERB
ejpam-5567	519	14	that	that	SCONJ
ejpam-5567	519	15	open	open	ADJ
ejpam-5567	519	16	sets	set	NOUN
ejpam-5567	519	17	by	by	ADP
ejpam-5567	519	18	the	the	DET
ejpam-5567	519	19	definition	definition	NOUN
ejpam-5567	519	20	of	of	ADP
ejpam-5567	519	21	ternary	ternary	ADJ
ejpam-5567	519	22	soft	soft	ADJ
ejpam-5567	519	23	topological	topological	ADJ
ejpam-5567	519	24	space	space	NOUN
ejpam-5567	519	25	.	.	PUNCT
ejpam-5567	520	1	also	also	ADV
ejpam-5567	520	2	,	,	PUNCT
ejpam-5567	520	3	we	we	PRON
ejpam-5567	520	4	have	have	VERB
ejpam-5567	520	5	(	(	PUNCT
ejpam-5567	520	6	h	h	NOUN
ejpam-5567	520	7	,	,	PUNCT
ejpam-5567	520	8	e)λ	e)λ	NOUN
ejpam-5567	521	1	˜̃⊆(f	˜̃⊆(f	PROPN
ejpam-5567	521	2	,	,	PUNCT
ejpam-5567	521	3	e	e	NOUN
ejpam-5567	521	4	)	)	PUNCT
ejpam-5567	521	5	∀	∀	PUNCT
ejpam-5567	522	1	λ	λ	NOUN
ejpam-5567	522	2	∈	∈	NOUN
ejpam-5567	522	3	λ	λ	PROPN
ejpam-5567	522	4	⇒	⇒	X
ejpam-5567	522	5	˜̃∪λ∈a(h	˜̃∪λ∈a(h	PROPN
ejpam-5567	522	6	,	,	PUNCT
ejpam-5567	522	7	e)λ	e)λ	NOUN
ejpam-5567	522	8	˜̃⊆(f	˜̃⊆(f	PROPN
ejpam-5567	522	9	,	,	PUNCT
ejpam-5567	522	10	e	e	NOUN
ejpam-5567	522	11	)	)	PUNCT
ejpam-5567	522	12	⇒	⇒	NOUN
ejpam-5567	522	13	(	(	PUNCT
ejpam-5567	522	14	f	f	X
ejpam-5567	522	15	,	,	PUNCT
ejpam-5567	522	16	e	e	NOUN
ejpam-5567	522	17	)	)	PUNCT
ejpam-5567	522	18	◦	◦	NOUN
ejpam-5567	522	19	˜̃⊆(f	˜̃⊆(f	PROPN
ejpam-5567	522	20	,	,	PUNCT
ejpam-5567	522	21	e	e	NOUN
ejpam-5567	522	22	)	)	PUNCT
ejpam-5567	522	23	.	.	PUNCT
ejpam-5567	523	1	hence	hence	ADV
ejpam-5567	523	2	,	,	PUNCT
ejpam-5567	523	3	(	(	PUNCT
ejpam-5567	523	4	f	f	X
ejpam-5567	523	5	,	,	PUNCT
ejpam-5567	523	6	e	e	NOUN
ejpam-5567	523	7	)	)	PUNCT
ejpam-5567	523	8	◦	◦	NOUN
ejpam-5567	523	9	is	be	AUX
ejpam-5567	523	10	a	a	DET
ejpam-5567	523	11	ternary	ternary	ADJ
ejpam-5567	523	12	soft	soft	ADJ
ejpam-5567	523	13	open	open	ADJ
ejpam-5567	523	14	set	set	NOUN
ejpam-5567	523	15	and	and	CCONJ
ejpam-5567	523	16	(	(	PUNCT
ejpam-5567	523	17	f	f	X
ejpam-5567	523	18	,	,	PUNCT
ejpam-5567	523	19	e	e	NOUN
ejpam-5567	523	20	)	)	PUNCT
ejpam-5567	523	21	◦	◦	NOUN
ejpam-5567	523	22	˜̃⊆(f	˜̃⊆(f	PROPN
ejpam-5567	523	23	,	,	PUNCT
ejpam-5567	523	24	e	e	NOUN
ejpam-5567	523	25	)	)	PUNCT
ejpam-5567	523	26	.	.	PUNCT
ejpam-5567	524	1	(	(	PUNCT
ejpam-5567	524	2	ii	ii	NOUN
ejpam-5567	524	3	)	)	PUNCT
ejpam-5567	524	4	from	from	ADP
ejpam-5567	524	5	(	(	PUNCT
ejpam-5567	524	6	i	i	NOUN
ejpam-5567	524	7	)	)	PUNCT
ejpam-5567	524	8	,	,	PUNCT
ejpam-5567	524	9	we	we	PRON
ejpam-5567	524	10	have	have	VERB
ejpam-5567	524	11	that	that	PRON
ejpam-5567	524	12	(	(	PUNCT
ejpam-5567	524	13	f	f	X
ejpam-5567	524	14	,	,	PUNCT
ejpam-5567	524	15	e	e	NOUN
ejpam-5567	524	16	)	)	PUNCT
ejpam-5567	524	17	◦	◦	NOUN
ejpam-5567	524	18	is	be	AUX
ejpam-5567	524	19	a	a	DET
ejpam-5567	524	20	ternary	ternary	ADJ
ejpam-5567	524	21	soft	soft	ADJ
ejpam-5567	524	22	open	open	ADJ
ejpam-5567	524	23	set	set	NOUN
ejpam-5567	524	24	contained	contain	VERB
ejpam-5567	524	25	in	in	ADP
ejpam-5567	524	26	(	(	PUNCT
ejpam-5567	524	27	f	f	X
ejpam-5567	524	28	,	,	PUNCT
ejpam-5567	524	29	e	e	NOUN
ejpam-5567	524	30	)	)	PUNCT
ejpam-5567	524	31	.	.	PUNCT
ejpam-5567	525	1	let	let	VERB
ejpam-5567	525	2	(	(	PUNCT
ejpam-5567	525	3	h	h	NOUN
ejpam-5567	525	4	,	,	PUNCT
ejpam-5567	525	5	e	e	NOUN
ejpam-5567	525	6	)	)	PUNCT
ejpam-5567	525	7	be	be	VERB
ejpam-5567	525	8	any	any	DET
ejpam-5567	525	9	ternary	ternary	ADJ
ejpam-5567	525	10	soft	soft	ADJ
ejpam-5567	525	11	open	open	ADJ
ejpam-5567	525	12	set	set	NOUN
ejpam-5567	525	13	contained	contain	VERB
ejpam-5567	525	14	in	in	ADP
ejpam-5567	525	15	(	(	PUNCT
ejpam-5567	525	16	f	f	X
ejpam-5567	525	17	,	,	PUNCT
ejpam-5567	525	18	e	e	NOUN
ejpam-5567	525	19	)	)	PUNCT
ejpam-5567	525	20	.	.	PUNCT
ejpam-5567	526	1	let	let	VERB
ejpam-5567	526	2	(	(	PUNCT
ejpam-5567	526	3	h	h	NOUN
ejpam-5567	526	4	,	,	PUNCT
ejpam-5567	526	5	e	e	NOUN
ejpam-5567	526	6	)	)	PUNCT
ejpam-5567	526	7	be	be	VERB
ejpam-5567	526	8	any	any	DET
ejpam-5567	526	9	ternary	ternary	ADJ
ejpam-5567	526	10	soft	soft	ADJ
ejpam-5567	526	11	open	open	ADJ
ejpam-5567	526	12	set	set	NOUN
ejpam-5567	526	13	contained	contain	VERB
ejpam-5567	526	14	in	in	ADP
ejpam-5567	526	15	(	(	PUNCT
ejpam-5567	526	16	f	f	X
ejpam-5567	526	17	,	,	PUNCT
ejpam-5567	526	18	e	e	NOUN
ejpam-5567	526	19	)	)	PUNCT
ejpam-5567	526	20	.	.	PUNCT
ejpam-5567	527	1	this	this	PRON
ejpam-5567	527	2	implies	imply	VERB
ejpam-5567	527	3	that	that	SCONJ
ejpam-5567	527	4	the	the	DET
ejpam-5567	527	5	family	family	NOUN
ejpam-5567	527	6	{	{	PUNCT
ejpam-5567	527	7	(	(	PUNCT
ejpam-5567	527	8	h	h	NOUN
ejpam-5567	527	9	,	,	PUNCT
ejpam-5567	527	10	e)λ	e)λ	NOUN
ejpam-5567	527	11	:	:	PUNCT
ejpam-5567	528	1	λ	λ	X
ejpam-5567	528	2	∈	∈	NOUN
ejpam-5567	528	3	λ	λ	PROPN
ejpam-5567	528	4	}	}	PUNCT
ejpam-5567	528	5	=	=	SYM
ejpam-5567	528	6	,	,	PUNCT
ejpam-5567	528	7	the	the	DET
ejpam-5567	528	8	family	family	NOUN
ejpam-5567	528	9	of	of	ADP
ejpam-5567	528	10	all	all	DET
ejpam-5567	528	11	ternary	ternary	ADJ
ejpam-5567	528	12	soft	soft	ADJ
ejpam-5567	528	13	open	open	ADJ
ejpam-5567	528	14	sets	set	NOUN
ejpam-5567	528	15	contained	contain	VERB
ejpam-5567	528	16	in	in	ADP
ejpam-5567	528	17	(	(	PUNCT
ejpam-5567	528	18	f	f	X
ejpam-5567	528	19	,	,	PUNCT
ejpam-5567	528	20	e	e	NOUN
ejpam-5567	528	21	)	)	PUNCT
ejpam-5567	528	22	implies	imply	VERB
ejpam-5567	528	23	(	(	PUNCT
ejpam-5567	528	24	h	h	NOUN
ejpam-5567	528	25	,	,	PUNCT
ejpam-5567	528	26	e	e	NOUN
ejpam-5567	528	27	)	)	PUNCT
ejpam-5567	528	28	˜̃⊆˜̃∪λ∈a(h	˜̃⊆˜̃∪λ∈a(h	PROPN
ejpam-5567	528	29	,	,	PUNCT
ejpam-5567	528	30	e)λ	e)λ	ADJ
ejpam-5567	528	31	⇒	⇒	NOUN
ejpam-5567	528	32	(	(	PUNCT
ejpam-5567	528	33	h	h	NOUN
ejpam-5567	528	34	,	,	PUNCT
ejpam-5567	528	35	e	e	NOUN
ejpam-5567	528	36	)	)	PUNCT
ejpam-5567	528	37	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	528	38	,	,	PUNCT
ejpam-5567	528	39	e)	e)	PROPN
ejpam-5567	528	40	◦	◦	NOUN
ejpam-5567	528	41	.	.	PUNCT
ejpam-5567	529	1	⇒	⇒	NOUN
ejpam-5567	529	2	(	(	PUNCT
ejpam-5567	529	3	f	f	X
ejpam-5567	529	4	,	,	PUNCT
ejpam-5567	529	5	e	e	NOUN
ejpam-5567	529	6	)	)	PUNCT
ejpam-5567	529	7	◦	◦	NOUN
ejpam-5567	529	8	˜̃⊇(h	˜̃⊇(h	PUNCT
ejpam-5567	529	9	,	,	PUNCT
ejpam-5567	529	10	e	e	NOUN
ejpam-5567	529	11	)	)	PUNCT
ejpam-5567	529	12	.	.	PUNCT
ejpam-5567	530	1	⇒	⇒	NOUN
ejpam-5567	530	2	(	(	PUNCT
ejpam-5567	530	3	f	f	X
ejpam-5567	530	4	,	,	PUNCT
ejpam-5567	530	5	e	e	NOUN
ejpam-5567	530	6	)	)	PUNCT
ejpam-5567	530	7	◦	◦	NOUN
ejpam-5567	530	8	is	be	AUX
ejpam-5567	530	9	larger	large	ADJ
ejpam-5567	530	10	than	than	ADP
ejpam-5567	530	11	every	every	DET
ejpam-5567	530	12	ternary	ternary	ADJ
ejpam-5567	530	13	soft	soft	ADJ
ejpam-5567	530	14	open	open	ADJ
ejpam-5567	530	15	set	set	NOUN
ejpam-5567	530	16	contained	contain	VERB
ejpam-5567	530	17	in	in	ADP
ejpam-5567	530	18	(	(	PUNCT
ejpam-5567	530	19	f	f	X
ejpam-5567	530	20	,	,	PUNCT
ejpam-5567	530	21	e	e	NOUN
ejpam-5567	530	22	)	)	PUNCT
ejpam-5567	530	23	.	.	PUNCT
ejpam-5567	531	1	thus	thus	ADV
ejpam-5567	531	2	,	,	PUNCT
ejpam-5567	531	3	(	(	PUNCT
ejpam-5567	531	4	f	f	X
ejpam-5567	531	5	,	,	PUNCT
ejpam-5567	531	6	e	e	NOUN
ejpam-5567	531	7	)	)	PUNCT
ejpam-5567	531	8	◦	◦	NOUN
ejpam-5567	531	9	is	be	AUX
ejpam-5567	531	10	the	the	DET
ejpam-5567	531	11	largest	large	ADJ
ejpam-5567	531	12	ternary	ternary	ADJ
ejpam-5567	531	13	soft	soft	ADJ
ejpam-5567	531	14	open	open	ADJ
ejpam-5567	531	15	set	set	NOUN
ejpam-5567	531	16	contained	contain	VERB
ejpam-5567	531	17	in	in	ADP
ejpam-5567	531	18	(	(	PUNCT
ejpam-5567	531	19	f	f	X
ejpam-5567	531	20	,	,	PUNCT
ejpam-5567	531	21	e	e	NOUN
ejpam-5567	531	22	)	)	PUNCT
ejpam-5567	531	23	.	.	PUNCT
ejpam-5567	532	1	(	(	PUNCT
ejpam-5567	532	2	ii	ii	NOUN
ejpam-5567	532	3	)	)	PUNCT
ejpam-5567	532	4	.	.	PUNCT
ejpam-5567	533	1	suppose	suppose	VERB
ejpam-5567	533	2	(	(	PUNCT
ejpam-5567	533	3	f	f	X
ejpam-5567	533	4	,	,	PUNCT
ejpam-5567	533	5	e	e	NOUN
ejpam-5567	533	6	)	)	PUNCT
ejpam-5567	533	7	is	be	AUX
ejpam-5567	533	8	ternary	ternary	ADJ
ejpam-5567	533	9	soft	soft	ADJ
ejpam-5567	533	10	open	open	NOUN
ejpam-5567	533	11	.	.	PUNCT
ejpam-5567	534	1	therefore	therefore	ADV
ejpam-5567	534	2	,	,	PUNCT
ejpam-5567	534	3	(	(	PUNCT
ejpam-5567	534	4	f	f	X
ejpam-5567	534	5	,	,	PUNCT
ejpam-5567	534	6	e	e	NOUN
ejpam-5567	534	7	)	)	PUNCT
ejpam-5567	534	8	is	be	AUX
ejpam-5567	534	9	a	a	DET
ejpam-5567	534	10	ternary	ternary	ADJ
ejpam-5567	534	11	soft	soft	ADJ
ejpam-5567	534	12	open	open	ADJ
ejpam-5567	534	13	set	set	NOUN
ejpam-5567	534	14	contained	contain	VERB
ejpam-5567	534	15	in	in	ADP
ejpam-5567	534	16	(	(	PUNCT
ejpam-5567	534	17	f	f	X
ejpam-5567	534	18	,	,	PUNCT
ejpam-5567	534	19	e	e	NOUN
ejpam-5567	534	20	)	)	PUNCT
ejpam-5567	534	21	,	,	PUNCT
ejpam-5567	534	22	(	(	PUNCT
ejpam-5567	534	23	i.e.	i.e.	X
ejpam-5567	534	24	(	(	PUNCT
ejpam-5567	534	25	f	f	X
ejpam-5567	534	26	,	,	PUNCT
ejpam-5567	534	27	e	e	NOUN
ejpam-5567	534	28	)	)	PUNCT
ejpam-5567	534	29	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	534	30	,	,	PUNCT
ejpam-5567	534	31	e	e	NOUN
ejpam-5567	534	32	)	)	PUNCT
ejpam-5567	534	33	)	)	PUNCT
ejpam-5567	534	34	→	→	PUNCT
ejpam-5567	534	35	(	(	PUNCT
ejpam-5567	534	36	1	1	NUM
ejpam-5567	534	37	)	)	PUNCT
ejpam-5567	534	38	.	.	PUNCT
ejpam-5567	535	1	but	but	CCONJ
ejpam-5567	535	2	(	(	PUNCT
ejpam-5567	535	3	f	f	X
ejpam-5567	535	4	,	,	PUNCT
ejpam-5567	535	5	e	e	NOUN
ejpam-5567	535	6	)	)	PUNCT
ejpam-5567	535	7	◦	◦	NOUN
ejpam-5567	535	8	is	be	AUX
ejpam-5567	535	9	the	the	DET
ejpam-5567	535	10	largest	large	ADJ
ejpam-5567	535	11	ternary	ternary	ADJ
ejpam-5567	535	12	soft	soft	ADJ
ejpam-5567	535	13	open	open	ADJ
ejpam-5567	535	14	set	set	NOUN
ejpam-5567	535	15	contained	contain	VERB
ejpam-5567	535	16	in	in	ADP
ejpam-5567	535	17	(	(	PUNCT
ejpam-5567	535	18	f	f	X
ejpam-5567	535	19	,	,	PUNCT
ejpam-5567	535	20	e	e	NOUN
ejpam-5567	535	21	)	)	PUNCT
ejpam-5567	535	22	→	→	SYM
ejpam-5567	535	23	(	(	PUNCT
ejpam-5567	535	24	2	2	NUM
ejpam-5567	535	25	)	)	PUNCT
ejpam-5567	535	26	.	.	PUNCT
ejpam-5567	536	1	therefore	therefore	ADV
ejpam-5567	536	2	,	,	PUNCT
ejpam-5567	536	3	from	from	ADP
ejpam-5567	536	4	(	(	PUNCT
ejpam-5567	536	5	1	1	NUM
ejpam-5567	536	6	)	)	PUNCT
ejpam-5567	536	7	and	and	CCONJ
ejpam-5567	536	8	(	(	PUNCT
ejpam-5567	536	9	2	2	NUM
ejpam-5567	536	10	)	)	PUNCT
ejpam-5567	536	11	,	,	PUNCT
ejpam-5567	536	12	it	it	PRON
ejpam-5567	536	13	follows	follow	VERB
ejpam-5567	536	14	that	that	SCONJ
ejpam-5567	536	15	(	(	PUNCT
ejpam-5567	536	16	f	f	X
ejpam-5567	536	17	,	,	PUNCT
ejpam-5567	536	18	e	e	NOUN
ejpam-5567	536	19	)	)	PUNCT
ejpam-5567	536	20	◦	◦	NOUN
ejpam-5567	536	21	must	must	AUX
ejpam-5567	536	22	be	be	AUX
ejpam-5567	536	23	larger	large	ADJ
ejpam-5567	536	24	than	than	ADP
ejpam-5567	536	25	(	(	PUNCT
ejpam-5567	536	26	f	f	X
ejpam-5567	536	27	,	,	PUNCT
ejpam-5567	536	28	e	e	NOUN
ejpam-5567	536	29	)	)	PUNCT
ejpam-5567	536	30	,	,	PUNCT
ejpam-5567	536	31	that	that	ADV
ejpam-5567	536	32	is	is	ADV
ejpam-5567	536	33	,	,	PUNCT
ejpam-5567	536	34	(	(	PUNCT
ejpam-5567	536	35	f	f	X
ejpam-5567	536	36	,	,	PUNCT
ejpam-5567	536	37	e	e	NOUN
ejpam-5567	536	38	)	)	PUNCT
ejpam-5567	536	39	◦	◦	NOUN
ejpam-5567	536	40	˜̃⊇(f	˜̃⊇(f	PROPN
ejpam-5567	536	41	,	,	PUNCT
ejpam-5567	536	42	e	e	NOUN
ejpam-5567	536	43	)	)	PUNCT
ejpam-5567	536	44	or	or	CCONJ
ejpam-5567	536	45	(	(	PUNCT
ejpam-5567	536	46	f	f	X
ejpam-5567	536	47	,	,	PUNCT
ejpam-5567	536	48	e	e	NOUN
ejpam-5567	536	49	)	)	PUNCT
ejpam-5567	536	50	is	be	AUX
ejpam-5567	536	51	smaller	small	ADJ
ejpam-5567	536	52	than	than	ADP
ejpam-5567	536	53	(	(	PUNCT
ejpam-5567	536	54	f	f	X
ejpam-5567	536	55	,	,	PUNCT
ejpam-5567	536	56	e	e	NOUN
ejpam-5567	536	57	)	)	PUNCT
ejpam-5567	536	58	◦	◦	NOUN
ejpam-5567	536	59	,	,	PUNCT
ejpam-5567	536	60	that	that	ADV
ejpam-5567	536	61	is	is	ADV
ejpam-5567	536	62	(	(	PUNCT
ejpam-5567	536	63	f	f	X
ejpam-5567	536	64	,	,	PUNCT
ejpam-5567	536	65	e	e	NOUN
ejpam-5567	536	66	)	)	PUNCT
ejpam-5567	536	67	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	536	68	,	,	PUNCT
ejpam-5567	536	69	e	e	NOUN
ejpam-5567	536	70	)	)	PUNCT
ejpam-5567	536	71	◦	◦	NOUN
ejpam-5567	536	72	→	→	SYM
ejpam-5567	536	73	(	(	PUNCT
ejpam-5567	536	74	3	3	NUM
ejpam-5567	536	75	)	)	PUNCT
ejpam-5567	536	76	.	.	PUNCT
ejpam-5567	537	1	but	but	CCONJ
ejpam-5567	537	2	(	(	PUNCT
ejpam-5567	537	3	f	f	X
ejpam-5567	537	4	,	,	PUNCT
ejpam-5567	537	5	e	e	NOUN
ejpam-5567	537	6	)	)	PUNCT
ejpam-5567	537	7	◦	◦	NOUN
ejpam-5567	537	8	˜̃⊇(f	˜̃⊇(f	PROPN
ejpam-5567	537	9	,	,	PUNCT
ejpam-5567	537	10	e	e	NOUN
ejpam-5567	537	11	)	)	PUNCT
ejpam-5567	537	12	is	be	AUX
ejpam-5567	537	13	always	always	ADV
ejpam-5567	537	14	true	true	ADJ
ejpam-5567	537	15	→	→	SYM
ejpam-5567	537	16	(	(	PUNCT
ejpam-5567	537	17	4	4	NUM
ejpam-5567	537	18	)	)	PUNCT
ejpam-5567	537	19	.	.	PUNCT
ejpam-5567	538	1	from	from	ADP
ejpam-5567	538	2	(	(	PUNCT
ejpam-5567	538	3	3	3	NUM
ejpam-5567	538	4	)	)	PUNCT
ejpam-5567	538	5	and	and	CCONJ
ejpam-5567	538	6	(	(	PUNCT
ejpam-5567	538	7	4	4	NUM
ejpam-5567	538	8	)	)	PUNCT
ejpam-5567	538	9	,	,	PUNCT
ejpam-5567	538	10	we	we	PRON
ejpam-5567	538	11	have	have	VERB
ejpam-5567	538	12	(	(	PUNCT
ejpam-5567	538	13	f	f	X
ejpam-5567	538	14	,	,	PUNCT
ejpam-5567	538	15	e	e	NOUN
ejpam-5567	538	16	)	)	PUNCT
ejpam-5567	538	17	˜̃=(f	˜̃=(f	NOUN
ejpam-5567	538	18	,	,	PUNCT
ejpam-5567	538	19	e)	e)	PROPN
ejpam-5567	538	20	◦	◦	NOUN
ejpam-5567	538	21	.	.	PUNCT
ejpam-5567	539	1	note	note	VERB
ejpam-5567	539	2	that	that	SCONJ
ejpam-5567	539	3	the	the	DET
ejpam-5567	539	4	right	right	ADJ
ejpam-5567	539	5	-	-	PUNCT
ejpam-5567	539	6	hand	hand	NOUN
ejpam-5567	539	7	side	side	NOUN
ejpam-5567	539	8	result	result	NOUN
ejpam-5567	539	9	,	,	PUNCT
ejpam-5567	539	10	i.e.	i.e.	X
ejpam-5567	539	11	,	,	PUNCT
ejpam-5567	539	12	(	(	PUNCT
ejpam-5567	539	13	f	f	X
ejpam-5567	539	14	,	,	PUNCT
ejpam-5567	539	15	e	e	NOUN
ejpam-5567	539	16	)	)	PUNCT
ejpam-5567	539	17	◦	◦	NOUN
ejpam-5567	539	18	is	be	AUX
ejpam-5567	539	19	a	a	DET
ejpam-5567	539	20	ternary	ternary	ADJ
ejpam-5567	539	21	soft	soft	ADJ
ejpam-5567	539	22	open	open	ADJ
ejpam-5567	539	23	set	set	NOUN
ejpam-5567	539	24	,	,	PUNCT
ejpam-5567	539	25	implies	imply	VERB
ejpam-5567	539	26	that	that	SCONJ
ejpam-5567	539	27	the	the	DET
ejpam-5567	539	28	left	left	ADJ
ejpam-5567	539	29	-	-	PUNCT
ejpam-5567	539	30	hand	hand	NOUN
ejpam-5567	539	31	side	side	NOUN
ejpam-5567	539	32	,	,	PUNCT
ejpam-5567	539	33	i.e.	i.e.	X
ejpam-5567	539	34	,	,	PUNCT
ejpam-5567	539	35	(	(	PUNCT
ejpam-5567	539	36	f	f	X
ejpam-5567	539	37	,	,	PUNCT
ejpam-5567	539	38	e	e	NOUN
ejpam-5567	539	39	)	)	PUNCT
ejpam-5567	539	40	,	,	PUNCT
ejpam-5567	539	41	must	must	AUX
ejpam-5567	539	42	also	also	ADV
ejpam-5567	539	43	be	be	AUX
ejpam-5567	539	44	a	a	DET
ejpam-5567	539	45	ternary	ternary	ADJ
ejpam-5567	539	46	soft	soft	ADJ
ejpam-5567	539	47	open	open	ADJ
ejpam-5567	539	48	set	set	NOUN
ejpam-5567	539	49	.	.	PUNCT
ejpam-5567	540	1	consequently	consequently	ADV
ejpam-5567	540	2	,	,	PUNCT
ejpam-5567	540	3	(	(	PUNCT
ejpam-5567	540	4	f	f	X
ejpam-5567	540	5	,	,	PUNCT
ejpam-5567	540	6	e	e	NOUN
ejpam-5567	540	7	)	)	PUNCT
ejpam-5567	540	8	is	be	AUX
ejpam-5567	540	9	a	a	DET
ejpam-5567	540	10	ternary	ternary	ADJ
ejpam-5567	540	11	soft	soft	ADJ
ejpam-5567	540	12	open	open	ADJ
ejpam-5567	540	13	set	set	NOUN
ejpam-5567	540	14	.	.	PUNCT
ejpam-5567	541	1	if	if	SCONJ
ejpam-5567	541	2	(	(	PUNCT
ejpam-5567	541	3	f	f	X
ejpam-5567	541	4	,	,	PUNCT
ejpam-5567	541	5	e	e	NOUN
ejpam-5567	541	6	)	)	PUNCT
ejpam-5567	541	7	˜̃=(f	˜̃=(f	NOUN
ejpam-5567	541	8	,	,	PUNCT
ejpam-5567	541	9	e	e	NOUN
ejpam-5567	541	10	)	)	PUNCT
ejpam-5567	541	11	◦	◦	NOUN
ejpam-5567	541	12	,	,	PUNCT
ejpam-5567	541	13	then	then	ADV
ejpam-5567	541	14	(	(	PUNCT
ejpam-5567	541	15	f	f	X
ejpam-5567	541	16	,	,	PUNCT
ejpam-5567	541	17	e	e	NOUN
ejpam-5567	541	18	)	)	PUNCT
ejpam-5567	541	19	is	be	AUX
ejpam-5567	541	20	a	a	DET
ejpam-5567	541	21	ternary	ternary	ADJ
ejpam-5567	541	22	soft	soft	ADJ
ejpam-5567	541	23	open	open	ADJ
ejpam-5567	541	24	set	set	NOUN
ejpam-5567	541	25	.	.	PUNCT
ejpam-5567	542	1	hence	hence	ADV
ejpam-5567	542	2	,	,	PUNCT
ejpam-5567	542	3	(	(	PUNCT
ejpam-5567	542	4	f	f	X
ejpam-5567	542	5	,	,	PUNCT
ejpam-5567	542	6	e	e	NOUN
ejpam-5567	542	7	)	)	PUNCT
ejpam-5567	542	8	is	be	AUX
ejpam-5567	542	9	ternary	ternary	ADJ
ejpam-5567	542	10	soft	soft	ADJ
ejpam-5567	542	11	open	open	ADJ
ejpam-5567	542	12	if	if	SCONJ
ejpam-5567	542	13	and	and	CCONJ
ejpam-5567	542	14	only	only	ADV
ejpam-5567	542	15	if	if	SCONJ
ejpam-5567	542	16	(	(	PUNCT
ejpam-5567	542	17	f	f	X
ejpam-5567	542	18	,	,	PUNCT
ejpam-5567	542	19	e	e	NOUN
ejpam-5567	542	20	)	)	PUNCT
ejpam-5567	542	21	˜̃=(f	˜̃=(f	NOUN
ejpam-5567	542	22	,	,	PUNCT
ejpam-5567	542	23	e)	e)	PROPN
ejpam-5567	542	24	◦	◦	NOUN
ejpam-5567	542	25	.	.	PUNCT
ejpam-5567	542	26	theorem	theorem	VERB
ejpam-5567	542	27	8	8	NUM
ejpam-5567	542	28	.	.	PUNCT
ejpam-5567	543	1	let	let	AUX
ejpam-5567	543	2	(	(	PUNCT
ejpam-5567	543	3	u1	u1	NOUN
ejpam-5567	543	4	,	,	PUNCT
ejpam-5567	543	5	u2	u2	NOUN
ejpam-5567	543	6	,	,	PUNCT
ejpam-5567	543	7	u3	u3	NOUN
ejpam-5567	543	8	,	,	PUNCT
ejpam-5567	543	9	τ∆	τ∆	NOUN
ejpam-5567	543	10	,	,	PUNCT
ejpam-5567	543	11	e	e	X
ejpam-5567	543	12	)	)	PUNCT
ejpam-5567	543	13	be	be	VERB
ejpam-5567	543	14	the	the	DET
ejpam-5567	543	15	ternary	ternary	ADJ
ejpam-5567	543	16	soft	soft	ADJ
ejpam-5567	543	17	topological	topological	ADJ
ejpam-5567	543	18	space	space	NOUN
ejpam-5567	543	19	.	.	PUNCT
ejpam-5567	544	1	let	let	VERB
ejpam-5567	544	2	(	(	PUNCT
ejpam-5567	544	3	f	f	X
ejpam-5567	544	4	,	,	PUNCT
ejpam-5567	544	5	e	e	NOUN
ejpam-5567	544	6	)	)	PUNCT
ejpam-5567	544	7	and	and	CCONJ
ejpam-5567	544	8	(	(	PUNCT
ejpam-5567	544	9	g	g	NOUN
ejpam-5567	544	10	,	,	PUNCT
ejpam-5567	544	11	e	e	NOUN
ejpam-5567	544	12	)	)	PUNCT
ejpam-5567	544	13	be	be	VERB
ejpam-5567	544	14	any	any	DET
ejpam-5567	544	15	two	two	NUM
ejpam-5567	544	16	ternary	ternary	ADJ
ejpam-5567	544	17	soft	soft	ADJ
ejpam-5567	544	18	subsets	subset	NOUN
ejpam-5567	544	19	over	over	ADP
ejpam-5567	544	20	u1	u1	NOUN
ejpam-5567	544	21	,	,	PUNCT
ejpam-5567	544	22	u2	u2	NOUN
ejpam-5567	544	23	,	,	PUNCT
ejpam-5567	544	24	u3	u3	NOUN
ejpam-5567	544	25	.	.	PUNCT
ejpam-5567	545	1	then	then	ADV
ejpam-5567	545	2	the	the	DET
ejpam-5567	545	3	following	follow	VERB
ejpam-5567	545	4	properties	property	NOUN
ejpam-5567	545	5	hold	hold	VERB
ejpam-5567	545	6	true	true	ADJ
ejpam-5567	545	7	:	:	PUNCT
ejpam-5567	545	8	(	(	PUNCT
ejpam-5567	545	9	i	i	NOUN
ejpam-5567	545	10	)	)	PUNCT
ejpam-5567	545	11	˜̃	˜̃	NOUN
ejpam-5567	545	12	x	x	ADJ
ejpam-5567	545	13	◦	◦	PROPN
ejpam-5567	545	14	˜̃=	˜̃=	PROPN
ejpam-5567	545	15	˜̃	˜̃	NOUN
ejpam-5567	545	16	x.	x.	NOUN
ejpam-5567	545	17	(	(	PUNCT
ejpam-5567	545	18	ii	ii	NOUN
ejpam-5567	545	19	)	)	PUNCT
ejpam-5567	545	20	˜̃∅	˜̃∅	NOUN
ejpam-5567	545	21	◦	◦	NOUN
ejpam-5567	545	22	=	=	SYM
ejpam-5567	545	23	˜̃∅.	˜̃∅.	PROPN
ejpam-5567	545	24	(	(	PUNCT
ejpam-5567	545	25	iii	iii	NOUN
ejpam-5567	545	26	)	)	PUNCT
ejpam-5567	545	27	if	if	SCONJ
ejpam-5567	545	28	(	(	PUNCT
ejpam-5567	545	29	f	f	X
ejpam-5567	545	30	,	,	PUNCT
ejpam-5567	545	31	e	e	NOUN
ejpam-5567	545	32	)	)	PUNCT
ejpam-5567	545	33	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	545	34	,	,	PUNCT
ejpam-5567	545	35	e	e	NOUN
ejpam-5567	545	36	)	)	PUNCT
ejpam-5567	545	37	,	,	PUNCT
ejpam-5567	545	38	then	then	ADV
ejpam-5567	545	39	(	(	PUNCT
ejpam-5567	545	40	f	f	X
ejpam-5567	545	41	,	,	PUNCT
ejpam-5567	545	42	e	e	NOUN
ejpam-5567	545	43	)	)	PUNCT
ejpam-5567	545	44	◦	◦	NOUN
ejpam-5567	545	45	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	545	46	,	,	PUNCT
ejpam-5567	545	47	e)	e)	PROPN
ejpam-5567	545	48	◦	◦	NOUN
ejpam-5567	545	49	.	.	PUNCT
ejpam-5567	546	1	(	(	PUNCT
ejpam-5567	546	2	iv	iv	X
ejpam-5567	546	3	)	)	PUNCT
ejpam-5567	547	1	[	[	X
ejpam-5567	547	2	(	(	PUNCT
ejpam-5567	547	3	f	f	X
ejpam-5567	547	4	,	,	PUNCT
ejpam-5567	547	5	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	547	6	,	,	PUNCT
ejpam-5567	547	7	e	e	NOUN
ejpam-5567	547	8	)	)	PUNCT
ejpam-5567	547	9	]	]	X
ejpam-5567	547	10	◦	◦	NOUN
ejpam-5567	547	11	˜̃=(f	˜̃=(f	PROPN
ejpam-5567	547	12	,	,	PUNCT
ejpam-5567	547	13	e	e	NOUN
ejpam-5567	547	14	)	)	PUNCT
ejpam-5567	547	15	◦	◦	NOUN
ejpam-5567	547	16	˜̃∩(g	˜̃∩(g	NOUN
ejpam-5567	547	17	,	,	PUNCT
ejpam-5567	547	18	e)	e)	PROPN
ejpam-5567	547	19	◦	◦	NOUN
ejpam-5567	547	20	.	.	PUNCT
ejpam-5567	548	1	(	(	PUNCT
ejpam-5567	548	2	v	v	NOUN
ejpam-5567	548	3	)	)	PUNCT
ejpam-5567	549	1	[	[	X
ejpam-5567	549	2	(	(	PUNCT
ejpam-5567	549	3	f	f	X
ejpam-5567	549	4	,	,	PUNCT
ejpam-5567	549	5	e	e	NOUN
ejpam-5567	549	6	)	)	PUNCT
ejpam-5567	549	7	◦	◦	NOUN
ejpam-5567	549	8	]	]	X
ejpam-5567	549	9	◦	◦	NOUN
ejpam-5567	549	10	=	=	SYM
ejpam-5567	549	11	(	(	PUNCT
ejpam-5567	549	12	f	f	X
ejpam-5567	549	13	,	,	PUNCT
ejpam-5567	549	14	e)	e)	PROPN
ejpam-5567	549	15	◦	◦	NOUN
ejpam-5567	549	16	.	.	PUNCT
ejpam-5567	550	1	(	(	PUNCT
ejpam-5567	550	2	vi	vi	NOUN
ejpam-5567	550	3	)	)	PUNCT
ejpam-5567	550	4	(	(	PUNCT
ejpam-5567	550	5	f	f	X
ejpam-5567	550	6	,	,	PUNCT
ejpam-5567	550	7	e	e	NOUN
ejpam-5567	550	8	)	)	PUNCT
ejpam-5567	550	9	◦	◦	NOUN
ejpam-5567	550	10	˜̃∪(g	˜̃∪(g	PROPN
ejpam-5567	550	11	,	,	PUNCT
ejpam-5567	550	12	e	e	NOUN
ejpam-5567	550	13	)	)	PUNCT
ejpam-5567	550	14	◦	◦	NOUN
ejpam-5567	550	15	˜̃⊆[(f	˜̃⊆[(f	ADJ
ejpam-5567	550	16	,	,	PUNCT
ejpam-5567	550	17	e)˜̃∪(g	e)˜̃∪(g	PROPN
ejpam-5567	550	18	,	,	PUNCT
ejpam-5567	550	19	e)]	e)]	PROPN
ejpam-5567	550	20	◦	◦	NOUN
ejpam-5567	550	21	.	.	PUNCT
ejpam-5567	551	1	proof	proof	NOUN
ejpam-5567	551	2	.	.	PUNCT
ejpam-5567	552	1	m.	m.	NOUN
ejpam-5567	552	2	nawaz	nawaz	PROPN
ejpam-5567	552	3	et	et	PROPN
ejpam-5567	552	4	al	al	PROPN
ejpam-5567	552	5	.	.	PUNCT
ejpam-5567	552	6	/	/	SYM
ejpam-5567	552	7	eur	eur	PROPN
ejpam-5567	552	8	.	.	PUNCT
ejpam-5567	553	1	j.	j.	PROPN
ejpam-5567	553	2	pure	pure	PROPN
ejpam-5567	553	3	appl	appl	PROPN
ejpam-5567	553	4	.	.	PROPN
ejpam-5567	553	5	math	math	PROPN
ejpam-5567	553	6	,	,	PUNCT
ejpam-5567	553	7	18	18	NUM
ejpam-5567	553	8	(	(	PUNCT
ejpam-5567	553	9	1	1	NUM
ejpam-5567	553	10	)	)	PUNCT
ejpam-5567	553	11	(	(	PUNCT
ejpam-5567	553	12	2025	2025	NUM
ejpam-5567	553	13	)	)	PUNCT
ejpam-5567	553	14	,	,	PUNCT
ejpam-5567	553	15	5567	5567	NUM
ejpam-5567	553	16	24	24	NUM
ejpam-5567	553	17	of	of	ADP
ejpam-5567	553	18	45	45	NUM
ejpam-5567	553	19	(	(	PUNCT
ejpam-5567	553	20	i	i	NOUN
ejpam-5567	553	21	)	)	PUNCT
ejpam-5567	553	22	we	we	PRON
ejpam-5567	553	23	know	know	VERB
ejpam-5567	553	24	that	that	DET
ejpam-5567	553	25	˜̃	˜̃	NOUN
ejpam-5567	553	26	x	x	VERB
ejpam-5567	553	27	is	be	AUX
ejpam-5567	553	28	a	a	DET
ejpam-5567	553	29	ternary	ternary	ADJ
ejpam-5567	553	30	soft	soft	ADJ
ejpam-5567	553	31	open	open	ADJ
ejpam-5567	553	32	set	set	NOUN
ejpam-5567	553	33	.	.	PUNCT
ejpam-5567	554	1	this	this	PRON
ejpam-5567	554	2	implies	imply	VERB
ejpam-5567	554	3	˜̃	˜̃	NOUN
ejpam-5567	554	4	x	x	ADJ
ejpam-5567	554	5	◦	◦	PROPN
ejpam-5567	554	6	˜̃=	˜̃=	PROPN
ejpam-5567	554	7	˜̃	˜̃	NOUN
ejpam-5567	554	8	x.	x.	NOUN
ejpam-5567	554	9	(	(	PUNCT
ejpam-5567	554	10	since	since	SCONJ
ejpam-5567	554	11	(	(	PUNCT
ejpam-5567	554	12	f	f	X
ejpam-5567	554	13	,	,	PUNCT
ejpam-5567	554	14	e	e	NOUN
ejpam-5567	554	15	)	)	PUNCT
ejpam-5567	554	16	is	be	AUX
ejpam-5567	554	17	open	open	ADJ
ejpam-5567	554	18	if	if	SCONJ
ejpam-5567	554	19	and	and	CCONJ
ejpam-5567	554	20	only	only	ADV
ejpam-5567	554	21	if	if	SCONJ
ejpam-5567	554	22	(	(	PUNCT
ejpam-5567	554	23	f	f	X
ejpam-5567	554	24	,	,	PUNCT
ejpam-5567	554	25	e	e	NOUN
ejpam-5567	554	26	)	)	PUNCT
ejpam-5567	554	27	˜̃=(f	˜̃=(f	NOUN
ejpam-5567	554	28	,	,	PUNCT
ejpam-5567	554	29	e	e	NOUN
ejpam-5567	554	30	)	)	PUNCT
ejpam-5567	554	31	◦	◦	NOUN
ejpam-5567	554	32	)	)	PUNCT
ejpam-5567	554	33	.	.	PUNCT
ejpam-5567	555	1	therefore	therefore	ADV
ejpam-5567	555	2	,	,	PUNCT
ejpam-5567	555	3	˜̃	˜̃	NOUN
ejpam-5567	555	4	x	x	ADJ
ejpam-5567	555	5	◦	◦	NOUN
ejpam-5567	555	6	˜̃=	˜̃=	PROPN
ejpam-5567	555	7	˜̃	˜̃	NOUN
ejpam-5567	555	8	x.	x.	NOUN
ejpam-5567	555	9	(	(	PUNCT
ejpam-5567	555	10	ii	ii	PROPN
ejpam-5567	555	11	)	)	PUNCT
ejpam-5567	555	12	the	the	DET
ejpam-5567	555	13	result	result	NOUN
ejpam-5567	555	14	follows	follow	VERB
ejpam-5567	555	15	from	from	ADP
ejpam-5567	555	16	(	(	PUNCT
ejpam-5567	555	17	i	i	NOUN
ejpam-5567	555	18	)	)	PUNCT
ejpam-5567	555	19	.	.	PUNCT
ejpam-5567	556	1	(	(	PUNCT
ejpam-5567	556	2	iii	iii	X
ejpam-5567	556	3	)	)	PUNCT
ejpam-5567	556	4	suppose	suppose	VERB
ejpam-5567	556	5	(	(	PUNCT
ejpam-5567	556	6	f	f	X
ejpam-5567	556	7	,	,	PUNCT
ejpam-5567	556	8	e	e	NOUN
ejpam-5567	556	9	)	)	PUNCT
ejpam-5567	556	10	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	556	11	,	,	PUNCT
ejpam-5567	556	12	e	e	NOUN
ejpam-5567	556	13	)	)	PUNCT
ejpam-5567	556	14	.	.	PUNCT
ejpam-5567	557	1	then	then	ADV
ejpam-5567	557	2	we	we	PRON
ejpam-5567	557	3	know	know	VERB
ejpam-5567	557	4	that	that	SCONJ
ejpam-5567	557	5	(	(	PUNCT
ejpam-5567	557	6	f	f	X
ejpam-5567	557	7	,	,	PUNCT
ejpam-5567	557	8	e	e	NOUN
ejpam-5567	557	9	)	)	PUNCT
ejpam-5567	557	10	◦	◦	NOUN
ejpam-5567	557	11	˜̃⊆(f	˜̃⊆(f	PROPN
ejpam-5567	557	12	,	,	PUNCT
ejpam-5567	557	13	e	e	NOUN
ejpam-5567	557	14	)	)	PUNCT
ejpam-5567	557	15	and	and	CCONJ
ejpam-5567	557	16	(	(	PUNCT
ejpam-5567	557	17	f	f	X
ejpam-5567	557	18	,	,	PUNCT
ejpam-5567	557	19	e	e	NOUN
ejpam-5567	557	20	)	)	PUNCT
ejpam-5567	557	21	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	557	22	,	,	PUNCT
ejpam-5567	557	23	e	e	NOUN
ejpam-5567	557	24	)	)	PUNCT
ejpam-5567	557	25	,	,	PUNCT
ejpam-5567	557	26	therefore	therefore	ADV
ejpam-5567	557	27	(	(	PUNCT
ejpam-5567	557	28	f	f	X
ejpam-5567	557	29	,	,	PUNCT
ejpam-5567	557	30	e	e	NOUN
ejpam-5567	557	31	)	)	PUNCT
ejpam-5567	557	32	◦	◦	NOUN
ejpam-5567	557	33	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	557	34	,	,	PUNCT
ejpam-5567	557	35	e	e	NOUN
ejpam-5567	557	36	)	)	PUNCT
ejpam-5567	557	37	.	.	PUNCT
ejpam-5567	558	1	therefore	therefore	ADV
ejpam-5567	558	2	,	,	PUNCT
ejpam-5567	558	3	(	(	PUNCT
ejpam-5567	558	4	f	f	X
ejpam-5567	558	5	,	,	PUNCT
ejpam-5567	558	6	e	e	NOUN
ejpam-5567	558	7	)	)	PUNCT
ejpam-5567	558	8	◦	◦	NOUN
ejpam-5567	558	9	is	be	AUX
ejpam-5567	558	10	a	a	DET
ejpam-5567	558	11	≪	≪	ADJ
ejpam-5567	558	12	(	(	PUNCT
ejpam-5567	558	13	t	t	PROPN
ejpam-5567	558	14	,	,	PUNCT
ejpam-5567	558	15	s	s	PART
ejpam-5567	558	16	)	)	PUNCT
ejpam-5567	558	17	≫	≫	PRON
ejpam-5567	558	18	ternary	ternary	ADJ
ejpam-5567	558	19	soft	soft	ADJ
ejpam-5567	558	20	open	open	ADJ
ejpam-5567	558	21	set	set	NOUN
ejpam-5567	558	22	contained	contain	VERB
ejpam-5567	558	23	in	in	ADP
ejpam-5567	558	24	(	(	PUNCT
ejpam-5567	558	25	g	g	NOUN
ejpam-5567	558	26	,	,	PUNCT
ejpam-5567	558	27	e	e	NOUN
ejpam-5567	558	28	)	)	PUNCT
ejpam-5567	558	29	→	→	SYM
ejpam-5567	558	30	(	(	PUNCT
ejpam-5567	558	31	1	1	NUM
ejpam-5567	558	32	)	)	PUNCT
ejpam-5567	558	33	.	.	PUNCT
ejpam-5567	559	1	but	but	CCONJ
ejpam-5567	559	2	(	(	PUNCT
ejpam-5567	559	3	g	g	NOUN
ejpam-5567	559	4	,	,	PUNCT
ejpam-5567	559	5	e	e	NOUN
ejpam-5567	559	6	)	)	PUNCT
ejpam-5567	559	7	◦	◦	NOUN
ejpam-5567	559	8	is	be	AUX
ejpam-5567	559	9	the	the	DET
ejpam-5567	559	10	largest	large	ADJ
ejpam-5567	559	11	ternary	ternary	ADJ
ejpam-5567	559	12	soft	soft	ADJ
ejpam-5567	559	13	open	open	ADJ
ejpam-5567	559	14	set	set	NOUN
ejpam-5567	559	15	contained	contain	VERB
ejpam-5567	559	16	in	in	ADP
ejpam-5567	559	17	(	(	PUNCT
ejpam-5567	559	18	g	g	NOUN
ejpam-5567	559	19	,	,	PUNCT
ejpam-5567	559	20	e	e	NOUN
ejpam-5567	559	21	)	)	PUNCT
ejpam-5567	559	22	→	→	SYM
ejpam-5567	559	23	(	(	PUNCT
ejpam-5567	559	24	2	2	NUM
ejpam-5567	559	25	)	)	PUNCT
ejpam-5567	559	26	.	.	PUNCT
ejpam-5567	560	1	from	from	ADP
ejpam-5567	560	2	(	(	PUNCT
ejpam-5567	560	3	1	1	NUM
ejpam-5567	560	4	)	)	PUNCT
ejpam-5567	560	5	and	and	CCONJ
ejpam-5567	560	6	(	(	PUNCT
ejpam-5567	560	7	2	2	NUM
ejpam-5567	560	8	)	)	PUNCT
ejpam-5567	560	9	,	,	PUNCT
ejpam-5567	560	10	we	we	PRON
ejpam-5567	560	11	have	have	VERB
ejpam-5567	560	12	that	that	PRON
ejpam-5567	560	13	(	(	PUNCT
ejpam-5567	560	14	g	g	NOUN
ejpam-5567	560	15	,	,	PUNCT
ejpam-5567	560	16	e	e	NOUN
ejpam-5567	560	17	)	)	PUNCT
ejpam-5567	560	18	◦	◦	NOUN
ejpam-5567	560	19	is	be	AUX
ejpam-5567	560	20	larger	large	ADJ
ejpam-5567	560	21	than	than	ADP
ejpam-5567	560	22	(	(	PUNCT
ejpam-5567	560	23	f	f	X
ejpam-5567	560	24	,	,	PUNCT
ejpam-5567	560	25	e	e	NOUN
ejpam-5567	560	26	)	)	PUNCT
ejpam-5567	560	27	◦	◦	NOUN
ejpam-5567	560	28	,	,	PUNCT
ejpam-5567	560	29	which	which	PRON
ejpam-5567	560	30	implies	imply	VERB
ejpam-5567	560	31	(	(	PUNCT
ejpam-5567	560	32	f	f	X
ejpam-5567	560	33	,	,	PUNCT
ejpam-5567	560	34	e	e	NOUN
ejpam-5567	560	35	)	)	PUNCT
ejpam-5567	560	36	◦	◦	NOUN
ejpam-5567	560	37	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	560	38	,	,	PUNCT
ejpam-5567	560	39	e)	e)	PROPN
ejpam-5567	560	40	◦	◦	NOUN
ejpam-5567	560	41	.	.	PUNCT
ejpam-5567	561	1	thus	thus	ADV
ejpam-5567	561	2	,	,	PUNCT
ejpam-5567	561	3	(	(	PUNCT
ejpam-5567	561	4	f	f	X
ejpam-5567	561	5	,	,	PUNCT
ejpam-5567	561	6	e	e	NOUN
ejpam-5567	561	7	)	)	PUNCT
ejpam-5567	561	8	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	561	9	,	,	PUNCT
ejpam-5567	561	10	e	e	NOUN
ejpam-5567	561	11	)	)	PUNCT
ejpam-5567	561	12	implies	imply	VERB
ejpam-5567	561	13	(	(	PUNCT
ejpam-5567	561	14	f	f	X
ejpam-5567	561	15	,	,	PUNCT
ejpam-5567	561	16	e	e	NOUN
ejpam-5567	561	17	)	)	PUNCT
ejpam-5567	561	18	◦	◦	NOUN
ejpam-5567	561	19	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	561	20	,	,	PUNCT
ejpam-5567	561	21	e)	e)	PROPN
ejpam-5567	561	22	◦	◦	NOUN
ejpam-5567	561	23	.	.	PUNCT
ejpam-5567	562	1	(	(	PUNCT
ejpam-5567	562	2	iv	iv	X
ejpam-5567	562	3	)	)	PUNCT
ejpam-5567	562	4	let	let	AUX
ejpam-5567	562	5	(	(	PUNCT
ejpam-5567	562	6	u1	u1	NOUN
ejpam-5567	562	7	,	,	PUNCT
ejpam-5567	562	8	u2	u2	NOUN
ejpam-5567	562	9	,	,	PUNCT
ejpam-5567	562	10	u3	u3	NOUN
ejpam-5567	562	11	,	,	PUNCT
ejpam-5567	562	12	τ∆	τ∆	NOUN
ejpam-5567	562	13	,	,	PUNCT
ejpam-5567	562	14	e	e	X
ejpam-5567	562	15	)	)	PUNCT
ejpam-5567	562	16	be	be	VERB
ejpam-5567	562	17	the	the	DET
ejpam-5567	562	18	ternary	ternary	ADJ
ejpam-5567	562	19	soft	soft	ADJ
ejpam-5567	562	20	topological	topological	ADJ
ejpam-5567	562	21	space	space	NOUN
ejpam-5567	562	22	.	.	PUNCT
ejpam-5567	563	1	to	to	PART
ejpam-5567	563	2	prove	prove	VERB
ejpam-5567	563	3	[	[	X
ejpam-5567	563	4	(	(	PUNCT
ejpam-5567	563	5	f	f	X
ejpam-5567	563	6	,	,	PUNCT
ejpam-5567	563	7	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	563	8	,	,	PUNCT
ejpam-5567	563	9	e	e	NOUN
ejpam-5567	563	10	)	)	PUNCT
ejpam-5567	563	11	]	]	X
ejpam-5567	563	12	◦	◦	NOUN
ejpam-5567	563	13	˜̃=(f	˜̃=(f	PROPN
ejpam-5567	563	14	,	,	PUNCT
ejpam-5567	563	15	e	e	NOUN
ejpam-5567	563	16	)	)	PUNCT
ejpam-5567	563	17	◦	◦	NOUN
ejpam-5567	563	18	˜̃∩(g	˜̃∩(g	NOUN
ejpam-5567	563	19	,	,	PUNCT
ejpam-5567	563	20	e	e	NOUN
ejpam-5567	563	21	)	)	PUNCT
ejpam-5567	563	22	◦	◦	NOUN
ejpam-5567	563	23	,	,	PUNCT
ejpam-5567	563	24	we	we	PRON
ejpam-5567	563	25	know	know	VERB
ejpam-5567	563	26	that	that	SCONJ
ejpam-5567	563	27	(	(	PUNCT
ejpam-5567	563	28	f	f	X
ejpam-5567	563	29	,	,	PUNCT
ejpam-5567	563	30	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	563	31	,	,	PUNCT
ejpam-5567	563	32	e	e	NOUN
ejpam-5567	563	33	)	)	PUNCT
ejpam-5567	563	34	̂̂⊆(f	̂̂⊆(f	NOUN
ejpam-5567	563	35	,	,	PUNCT
ejpam-5567	563	36	e	e	NOUN
ejpam-5567	563	37	)	)	PUNCT
ejpam-5567	563	38	and	and	CCONJ
ejpam-5567	563	39	(	(	PUNCT
ejpam-5567	563	40	f	f	X
ejpam-5567	563	41	,	,	PUNCT
ejpam-5567	563	42	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	563	43	,	,	PUNCT
ejpam-5567	563	44	e	e	NOUN
ejpam-5567	563	45	)	)	PUNCT
ejpam-5567	563	46	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	563	47	,	,	PUNCT
ejpam-5567	563	48	e	e	NOUN
ejpam-5567	563	49	)	)	PUNCT
ejpam-5567	563	50	,	,	PUNCT
ejpam-5567	563	51	which	which	PRON
ejpam-5567	563	52	implies	imply	VERB
ejpam-5567	563	53	[	[	X
ejpam-5567	563	54	(	(	PUNCT
ejpam-5567	563	55	f	f	X
ejpam-5567	563	56	,	,	PUNCT
ejpam-5567	563	57	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	563	58	,	,	PUNCT
ejpam-5567	563	59	e	e	NOUN
ejpam-5567	563	60	)	)	PUNCT
ejpam-5567	563	61	]	]	PUNCT
ejpam-5567	563	62	◦	◦	NOUN
ejpam-5567	563	63	˜̃⊆(f	˜̃⊆(f	PROPN
ejpam-5567	563	64	,	,	PUNCT
ejpam-5567	563	65	e	e	NOUN
ejpam-5567	563	66	)	)	PUNCT
ejpam-5567	563	67	◦	◦	NOUN
ejpam-5567	563	68	and	and	CCONJ
ejpam-5567	563	69	[	[	X
ejpam-5567	563	70	(	(	PUNCT
ejpam-5567	563	71	f	f	X
ejpam-5567	563	72	,	,	PUNCT
ejpam-5567	563	73	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	563	74	,	,	PUNCT
ejpam-5567	563	75	e	e	NOUN
ejpam-5567	563	76	)	)	PUNCT
ejpam-5567	563	77	]	]	X
ejpam-5567	563	78	◦	◦	NOUN
ejpam-5567	563	79	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	563	80	,	,	PUNCT
ejpam-5567	563	81	e)	e)	PROPN
ejpam-5567	563	82	◦	◦	NOUN
ejpam-5567	563	83	(by(iii	(by(iii	NOUN
ejpam-5567	563	84	)	)	PUNCT
ejpam-5567	563	85	)	)	PUNCT
ejpam-5567	563	86	.	.	PUNCT
ejpam-5567	564	1	this	this	PRON
ejpam-5567	564	2	implies	imply	VERB
ejpam-5567	564	3	[	[	X
ejpam-5567	564	4	(	(	PUNCT
ejpam-5567	564	5	f	f	X
ejpam-5567	564	6	,	,	PUNCT
ejpam-5567	564	7	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	564	8	,	,	PUNCT
ejpam-5567	564	9	e	e	NOUN
ejpam-5567	564	10	)	)	PUNCT
ejpam-5567	564	11	]	]	PUNCT
ejpam-5567	564	12	◦	◦	NOUN
ejpam-5567	564	13	˜̃⊆(f	˜̃⊆(f	PROPN
ejpam-5567	564	14	,	,	PUNCT
ejpam-5567	564	15	e	e	NOUN
ejpam-5567	564	16	)	)	PUNCT
ejpam-5567	564	17	◦	◦	NOUN
ejpam-5567	564	18	˜̃∩(g	˜̃∩(g	NOUN
ejpam-5567	564	19	,	,	PUNCT
ejpam-5567	564	20	e)	e)	PROPN
ejpam-5567	564	21	◦	◦	NOUN
ejpam-5567	564	22	.	.	PUNCT
ejpam-5567	565	1	also	also	ADV
ejpam-5567	565	2	,	,	PUNCT
ejpam-5567	565	3	we	we	PRON
ejpam-5567	565	4	have	have	VERB
ejpam-5567	565	5	(	(	PUNCT
ejpam-5567	565	6	f	f	X
ejpam-5567	565	7	,	,	PUNCT
ejpam-5567	565	8	e	e	NOUN
ejpam-5567	565	9	)	)	PUNCT
ejpam-5567	565	10	◦	◦	NOUN
ejpam-5567	565	11	˜̃⊆(f	˜̃⊆(f	PROPN
ejpam-5567	565	12	,	,	PUNCT
ejpam-5567	565	13	e	e	NOUN
ejpam-5567	565	14	)	)	PUNCT
ejpam-5567	565	15	and	and	CCONJ
ejpam-5567	565	16	(	(	PUNCT
ejpam-5567	565	17	g	g	NOUN
ejpam-5567	565	18	,	,	PUNCT
ejpam-5567	565	19	e	e	NOUN
ejpam-5567	565	20	)	)	PUNCT
ejpam-5567	565	21	◦	◦	NOUN
ejpam-5567	565	22	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	565	23	,	,	PUNCT
ejpam-5567	565	24	e	e	NOUN
ejpam-5567	565	25	)	)	PUNCT
ejpam-5567	565	26	,	,	PUNCT
ejpam-5567	565	27	which	which	PRON
ejpam-5567	565	28	implies	imply	VERB
ejpam-5567	565	29	(	(	PUNCT
ejpam-5567	565	30	f	f	X
ejpam-5567	565	31	,	,	PUNCT
ejpam-5567	565	32	e	e	NOUN
ejpam-5567	565	33	)	)	PUNCT
ejpam-5567	565	34	◦	◦	NOUN
ejpam-5567	565	35	˜̃∩(g	˜̃∩(g	NOUN
ejpam-5567	565	36	,	,	PUNCT
ejpam-5567	565	37	e	e	NOUN
ejpam-5567	565	38	)	)	PUNCT
ejpam-5567	565	39	◦	◦	NOUN
ejpam-5567	565	40	˜̃⊆(f	˜̃⊆(f	PROPN
ejpam-5567	565	41	,	,	PUNCT
ejpam-5567	565	42	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	565	43	,	,	PUNCT
ejpam-5567	565	44	e	e	NOUN
ejpam-5567	565	45	)	)	PUNCT
ejpam-5567	565	46	,	,	PUNCT
ejpam-5567	565	47	which	which	PRON
ejpam-5567	565	48	implies	imply	VERB
ejpam-5567	565	49	that	that	SCONJ
ejpam-5567	565	50	(	(	PUNCT
ejpam-5567	565	51	f	f	X
ejpam-5567	565	52	,	,	PUNCT
ejpam-5567	565	53	e	e	NOUN
ejpam-5567	565	54	)	)	PUNCT
ejpam-5567	565	55	◦	◦	NOUN
ejpam-5567	565	56	˜̃∩(g	˜̃∩(g	NOUN
ejpam-5567	565	57	,	,	PUNCT
ejpam-5567	565	58	e	e	NOUN
ejpam-5567	565	59	)	)	PUNCT
ejpam-5567	565	60	◦	◦	NOUN
ejpam-5567	565	61	is	be	AUX
ejpam-5567	565	62	a	a	DET
ejpam-5567	565	63	ternary	ternary	ADJ
ejpam-5567	565	64	soft	soft	ADJ
ejpam-5567	565	65	open	open	ADJ
ejpam-5567	565	66	set	set	NOUN
ejpam-5567	565	67	contained	contain	VERB
ejpam-5567	565	68	in	in	ADP
ejpam-5567	565	69	(	(	PUNCT
ejpam-5567	565	70	f	f	X
ejpam-5567	565	71	,	,	PUNCT
ejpam-5567	565	72	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	565	73	,	,	PUNCT
ejpam-5567	565	74	e	e	NOUN
ejpam-5567	565	75	)	)	PUNCT
ejpam-5567	565	76	⇒	⇒	NOUN
ejpam-5567	565	77	(	(	PUNCT
ejpam-5567	565	78	2	2	NUM
ejpam-5567	565	79	)	)	PUNCT
ejpam-5567	565	80	.	.	PUNCT
ejpam-5567	566	1	but	but	CCONJ
ejpam-5567	566	2	[	[	X
ejpam-5567	566	3	(	(	PUNCT
ejpam-5567	566	4	f	f	X
ejpam-5567	566	5	,	,	PUNCT
ejpam-5567	566	6	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	566	7	,	,	PUNCT
ejpam-5567	566	8	e	e	NOUN
ejpam-5567	566	9	)	)	PUNCT
ejpam-5567	566	10	]	]	X
ejpam-5567	566	11	◦	◦	NOUN
ejpam-5567	566	12	is	be	AUX
ejpam-5567	566	13	the	the	DET
ejpam-5567	566	14	largest	large	ADJ
ejpam-5567	566	15	ternary	ternary	ADJ
ejpam-5567	566	16	soft	soft	ADJ
ejpam-5567	566	17	open	open	ADJ
ejpam-5567	566	18	set	set	NOUN
ejpam-5567	566	19	contained	contain	VERB
ejpam-5567	566	20	in	in	ADP
ejpam-5567	566	21	(	(	PUNCT
ejpam-5567	566	22	f	f	X
ejpam-5567	566	23	,	,	PUNCT
ejpam-5567	566	24	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	566	25	,	,	PUNCT
ejpam-5567	566	26	e	e	NOUN
ejpam-5567	566	27	)	)	PUNCT
ejpam-5567	566	28	⇒	⇒	NOUN
ejpam-5567	566	29	(	(	PUNCT
ejpam-5567	566	30	3	3	NUM
ejpam-5567	566	31	)	)	PUNCT
ejpam-5567	566	32	.	.	PUNCT
ejpam-5567	567	1	therefore	therefore	ADV
ejpam-5567	567	2	,	,	PUNCT
ejpam-5567	567	3	from	from	ADP
ejpam-5567	567	4	(	(	PUNCT
ejpam-5567	567	5	2	2	NUM
ejpam-5567	567	6	)	)	PUNCT
ejpam-5567	567	7	and	and	CCONJ
ejpam-5567	567	8	(	(	PUNCT
ejpam-5567	567	9	3	3	NUM
ejpam-5567	567	10	)	)	PUNCT
ejpam-5567	567	11	,	,	PUNCT
ejpam-5567	567	12	it	it	PRON
ejpam-5567	567	13	follows	follow	VERB
ejpam-5567	567	14	that	that	SCONJ
ejpam-5567	567	15	[	[	X
ejpam-5567	567	16	(	(	PUNCT
ejpam-5567	567	17	f	f	X
ejpam-5567	567	18	,	,	PUNCT
ejpam-5567	567	19	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	567	20	,	,	PUNCT
ejpam-5567	567	21	e	e	NOUN
ejpam-5567	567	22	)	)	PUNCT
ejpam-5567	567	23	]	]	X
ejpam-5567	567	24	◦	◦	NOUN
ejpam-5567	567	25	is	be	AUX
ejpam-5567	567	26	larger	large	ADJ
ejpam-5567	567	27	than	than	SCONJ
ejpam-5567	567	28	(	(	PUNCT
ejpam-5567	567	29	f	f	X
ejpam-5567	567	30	,	,	PUNCT
ejpam-5567	567	31	e	e	NOUN
ejpam-5567	567	32	)	)	PUNCT
ejpam-5567	567	33	◦	◦	NOUN
ejpam-5567	567	34	˜̃∩(g	˜̃∩(g	NOUN
ejpam-5567	567	35	,	,	PUNCT
ejpam-5567	567	36	e	e	NOUN
ejpam-5567	567	37	)	)	PUNCT
ejpam-5567	567	38	◦	◦	NOUN
ejpam-5567	567	39	,	,	PUNCT
ejpam-5567	567	40	that	that	ADV
ejpam-5567	567	41	is	is	ADV
ejpam-5567	567	42	(	(	PUNCT
ejpam-5567	567	43	f	f	X
ejpam-5567	567	44	,	,	PUNCT
ejpam-5567	567	45	e	e	NOUN
ejpam-5567	567	46	)	)	PUNCT
ejpam-5567	567	47	◦	◦	NOUN
ejpam-5567	567	48	˜̃∩(g	˜̃∩(g	NOUN
ejpam-5567	567	49	,	,	PUNCT
ejpam-5567	567	50	e	e	NOUN
ejpam-5567	567	51	)	)	PUNCT
ejpam-5567	567	52	◦	◦	NOUN
ejpam-5567	567	53	is	be	AUX
ejpam-5567	567	54	smaller	small	ADJ
ejpam-5567	567	55	than	than	ADP
ejpam-5567	567	56	[	[	X
ejpam-5567	567	57	(	(	PUNCT
ejpam-5567	567	58	f	f	X
ejpam-5567	567	59	,	,	PUNCT
ejpam-5567	567	60	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	567	61	,	,	PUNCT
ejpam-5567	567	62	e	e	NOUN
ejpam-5567	567	63	)	)	PUNCT
ejpam-5567	567	64	]	]	PUNCT
ejpam-5567	568	1	◦	◦	NOUN
ejpam-5567	568	2	this	this	PRON
ejpam-5567	568	3	leads	lead	VERB
ejpam-5567	568	4	to	to	ADP
ejpam-5567	568	5	(	(	PUNCT
ejpam-5567	568	6	f	f	X
ejpam-5567	568	7	,	,	PUNCT
ejpam-5567	568	8	e	e	NOUN
ejpam-5567	568	9	)	)	PUNCT
ejpam-5567	568	10	◦	◦	NOUN
ejpam-5567	568	11	˜̃∩(g	˜̃∩(g	NOUN
ejpam-5567	568	12	,	,	PUNCT
ejpam-5567	568	13	e	e	NOUN
ejpam-5567	568	14	)	)	PUNCT
ejpam-5567	568	15	◦	◦	NOUN
ejpam-5567	568	16	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	569	1	[	[	X
ejpam-5567	569	2	(	(	PUNCT
ejpam-5567	569	3	f	f	X
ejpam-5567	569	4	,	,	PUNCT
ejpam-5567	569	5	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	569	6	,	,	PUNCT
ejpam-5567	569	7	e	e	NOUN
ejpam-5567	569	8	)	)	PUNCT
ejpam-5567	569	9	]	]	X
ejpam-5567	569	10	◦	◦	NOUN
ejpam-5567	569	11	→	→	PUNCT
ejpam-5567	569	12	(	(	PUNCT
ejpam-5567	569	13	4	4	NUM
ejpam-5567	569	14	)	)	PUNCT
ejpam-5567	569	15	.	.	PUNCT
ejpam-5567	570	1	from	from	ADP
ejpam-5567	570	2	(	(	PUNCT
ejpam-5567	570	3	1	1	NUM
ejpam-5567	570	4	)	)	PUNCT
ejpam-5567	570	5	and	and	CCONJ
ejpam-5567	570	6	(	(	PUNCT
ejpam-5567	570	7	4	4	X
ejpam-5567	570	8	)	)	PUNCT
ejpam-5567	570	9	it	it	PRON
ejpam-5567	570	10	follows	follow	VERB
ejpam-5567	570	11	that	that	SCONJ
ejpam-5567	570	12	[	[	X
ejpam-5567	570	13	(	(	PUNCT
ejpam-5567	570	14	f	f	X
ejpam-5567	570	15	,	,	PUNCT
ejpam-5567	570	16	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	570	17	,	,	PUNCT
ejpam-5567	570	18	e	e	NOUN
ejpam-5567	570	19	)	)	PUNCT
ejpam-5567	570	20	]	]	X
ejpam-5567	570	21	◦	◦	NOUN
ejpam-5567	570	22	˜̃=(f	˜̃=(f	PROPN
ejpam-5567	570	23	,	,	PUNCT
ejpam-5567	570	24	e	e	NOUN
ejpam-5567	570	25	)	)	PUNCT
ejpam-5567	570	26	◦	◦	NOUN
ejpam-5567	570	27	˜̃∩(g	˜̃∩(g	NOUN
ejpam-5567	570	28	,	,	PUNCT
ejpam-5567	570	29	e)	e)	PROPN
ejpam-5567	570	30	◦	◦	NOUN
ejpam-5567	570	31	.	.	PUNCT
ejpam-5567	571	1	(	(	PUNCT
ejpam-5567	571	2	v	v	X
ejpam-5567	571	3	)	)	PUNCT
ejpam-5567	571	4	we	we	PRON
ejpam-5567	571	5	know	know	VERB
ejpam-5567	571	6	that	that	SCONJ
ejpam-5567	571	7	[	[	X
ejpam-5567	571	8	(	(	PUNCT
ejpam-5567	571	9	f	f	X
ejpam-5567	571	10	,	,	PUNCT
ejpam-5567	571	11	e	e	NOUN
ejpam-5567	571	12	)	)	PUNCT
ejpam-5567	571	13	◦	◦	NOUN
ejpam-5567	571	14	]	]	X
ejpam-5567	571	15	◦	◦	NOUN
ejpam-5567	571	16	is	be	AUX
ejpam-5567	571	17	a	a	DET
ejpam-5567	571	18	ternary	ternary	ADJ
ejpam-5567	571	19	soft	soft	ADJ
ejpam-5567	571	20	open	open	ADJ
ejpam-5567	571	21	set	set	NOUN
ejpam-5567	571	22	.	.	PUNCT
ejpam-5567	572	1	let	let	VERB
ejpam-5567	572	2	us	we	PRON
ejpam-5567	572	3	assume	assume	VERB
ejpam-5567	572	4	(	(	PUNCT
ejpam-5567	572	5	f	f	X
ejpam-5567	572	6	,	,	PUNCT
ejpam-5567	572	7	e	e	NOUN
ejpam-5567	572	8	)	)	PUNCT
ejpam-5567	572	9	◦	◦	NOUN
ejpam-5567	572	10	˜̃=(h	˜̃=(h	NOUN
ejpam-5567	572	11	,	,	PUNCT
ejpam-5567	572	12	e	e	NOUN
ejpam-5567	572	13	)	)	PUNCT
ejpam-5567	572	14	.	.	PUNCT
ejpam-5567	573	1	therefore	therefore	ADV
ejpam-5567	573	2	,	,	PUNCT
ejpam-5567	573	3	(	(	PUNCT
ejpam-5567	573	4	h	h	NOUN
ejpam-5567	573	5	,	,	PUNCT
ejpam-5567	573	6	e	e	NOUN
ejpam-5567	573	7	)	)	PUNCT
ejpam-5567	573	8	is	be	AUX
ejpam-5567	573	9	a	a	DET
ejpam-5567	573	10	ternary	ternary	ADJ
ejpam-5567	573	11	soft	soft	ADJ
ejpam-5567	573	12	open	open	ADJ
ejpam-5567	573	13	set	set	NOUN
ejpam-5567	573	14	,	,	PUNCT
ejpam-5567	573	15	which	which	PRON
ejpam-5567	573	16	implies	imply	VERB
ejpam-5567	573	17	(	(	PUNCT
ejpam-5567	573	18	h	h	NOUN
ejpam-5567	573	19	,	,	PUNCT
ejpam-5567	573	20	e	e	NOUN
ejpam-5567	573	21	)	)	PUNCT
ejpam-5567	573	22	˜̃=(h	˜̃=(h	NOUN
ejpam-5567	573	23	,	,	PUNCT
ejpam-5567	573	24	e)	e)	PROPN
ejpam-5567	573	25	◦	◦	NOUN
ejpam-5567	573	26	.	.	PUNCT
ejpam-5567	574	1	therefore	therefore	ADV
ejpam-5567	574	2	,	,	PUNCT
ejpam-5567	574	3	(	(	PUNCT
ejpam-5567	574	4	f	f	X
ejpam-5567	574	5	,	,	PUNCT
ejpam-5567	574	6	e	e	NOUN
ejpam-5567	574	7	)	)	PUNCT
ejpam-5567	574	8	◦	◦	NOUN
ejpam-5567	574	9	˜̃=[(f	˜̃=[(f	NOUN
ejpam-5567	574	10	,	,	PUNCT
ejpam-5567	574	11	e	e	NOUN
ejpam-5567	574	12	)	)	PUNCT
ejpam-5567	574	13	◦	◦	NOUN
ejpam-5567	574	14	]	]	X
ejpam-5567	574	15	◦	◦	NOUN
ejpam-5567	574	16	,	,	PUNCT
ejpam-5567	574	17	hence	hence	ADV
ejpam-5567	574	18	the	the	DET
ejpam-5567	574	19	result	result	NOUN
ejpam-5567	574	20	.	.	PUNCT
ejpam-5567	575	1	(	(	PUNCT
ejpam-5567	575	2	vi	vi	NOUN
ejpam-5567	575	3	)	)	PUNCT
ejpam-5567	575	4	since	since	SCONJ
ejpam-5567	575	5	(	(	PUNCT
ejpam-5567	575	6	f	f	X
ejpam-5567	575	7	,	,	PUNCT
ejpam-5567	575	8	e	e	NOUN
ejpam-5567	575	9	)	)	PUNCT
ejpam-5567	575	10	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	575	11	,	,	PUNCT
ejpam-5567	575	12	e)˜̃∪(g	e)˜̃∪(g	PROPN
ejpam-5567	575	13	,	,	PUNCT
ejpam-5567	575	14	e	e	NOUN
ejpam-5567	575	15	)	)	PUNCT
ejpam-5567	575	16	and	and	CCONJ
ejpam-5567	575	17	(	(	PUNCT
ejpam-5567	575	18	g	g	NOUN
ejpam-5567	575	19	,	,	PUNCT
ejpam-5567	575	20	e	e	NOUN
ejpam-5567	575	21	)	)	PUNCT
ejpam-5567	575	22	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	575	23	,	,	PUNCT
ejpam-5567	575	24	e)˜̃∪(g	e)˜̃∪(g	PROPN
ejpam-5567	575	25	,	,	PUNCT
ejpam-5567	575	26	e	e	NOUN
ejpam-5567	575	27	)	)	PUNCT
ejpam-5567	575	28	,	,	PUNCT
ejpam-5567	575	29	by	by	ADP
ejpam-5567	575	30	(	(	PUNCT
ejpam-5567	575	31	iii	iii	NOUN
ejpam-5567	575	32	)	)	PUNCT
ejpam-5567	575	33	,	,	PUNCT
ejpam-5567	575	34	we	we	PRON
ejpam-5567	575	35	have	have	VERB
ejpam-5567	575	36	(	(	PUNCT
ejpam-5567	575	37	f	f	X
ejpam-5567	575	38	,	,	PUNCT
ejpam-5567	575	39	e	e	NOUN
ejpam-5567	575	40	)	)	PUNCT
ejpam-5567	575	41	◦	◦	NOUN
ejpam-5567	575	42	˜̃⊆[(f	˜̃⊆[(f	ADJ
ejpam-5567	575	43	,	,	PUNCT
ejpam-5567	575	44	e)˜̃∪(g	e)˜̃∪(g	PROPN
ejpam-5567	575	45	,	,	PUNCT
ejpam-5567	575	46	e	e	NOUN
ejpam-5567	575	47	)	)	PUNCT
ejpam-5567	575	48	]	]	X
ejpam-5567	575	49	◦	◦	NOUN
ejpam-5567	575	50	and	and	CCONJ
ejpam-5567	575	51	(	(	PUNCT
ejpam-5567	575	52	f	f	X
ejpam-5567	575	53	,	,	PUNCT
ejpam-5567	575	54	e	e	NOUN
ejpam-5567	575	55	)	)	PUNCT
ejpam-5567	575	56	◦	◦	NOUN
ejpam-5567	575	57	˜̃⊆[(f	˜̃⊆[(f	ADJ
ejpam-5567	575	58	,	,	PUNCT
ejpam-5567	575	59	e)˜̃∪(g	e)˜̃∪(g	PROPN
ejpam-5567	575	60	,	,	PUNCT
ejpam-5567	575	61	e)]	e)]	PROPN
ejpam-5567	575	62	◦	◦	NOUN
ejpam-5567	575	63	.	.	PUNCT
ejpam-5567	576	1	so	so	SCONJ
ejpam-5567	576	2	that	that	SCONJ
ejpam-5567	576	3	(	(	PUNCT
ejpam-5567	576	4	f	f	X
ejpam-5567	576	5	,	,	PUNCT
ejpam-5567	576	6	e	e	NOUN
ejpam-5567	576	7	)	)	PUNCT
ejpam-5567	576	8	◦	◦	NOUN
ejpam-5567	576	9	˜̃∪(g	˜̃∪(g	PROPN
ejpam-5567	576	10	,	,	PUNCT
ejpam-5567	576	11	e	e	NOUN
ejpam-5567	576	12	)	)	PUNCT
ejpam-5567	576	13	◦	◦	NOUN
ejpam-5567	576	14	˜̃⊆[(f	˜̃⊆[(f	ADJ
ejpam-5567	576	15	,	,	PUNCT
ejpam-5567	576	16	e)˜̃∪(g	e)˜̃∪(g	PROPN
ejpam-5567	576	17	,	,	PUNCT
ejpam-5567	576	18	e	e	NOUN
ejpam-5567	576	19	)	)	PUNCT
ejpam-5567	576	20	]	]	X
ejpam-5567	576	21	◦	◦	NOUN
ejpam-5567	576	22	,	,	PUNCT
ejpam-5567	576	23	since	since	SCONJ
ejpam-5567	576	24	(	(	PUNCT
ejpam-5567	576	25	f	f	X
ejpam-5567	576	26	,	,	PUNCT
ejpam-5567	576	27	e	e	NOUN
ejpam-5567	576	28	)	)	PUNCT
ejpam-5567	576	29	◦	◦	NOUN
ejpam-5567	576	30	˜̃∪(g	˜̃∪(g	PROPN
ejpam-5567	576	31	,	,	PUNCT
ejpam-5567	576	32	e	e	NOUN
ejpam-5567	576	33	)	)	PUNCT
ejpam-5567	576	34	◦	◦	NOUN
ejpam-5567	576	35	is	be	AUX
ejpam-5567	576	36	a	a	DET
ejpam-5567	576	37	ternary	ternary	ADJ
ejpam-5567	576	38	soft	soft	ADJ
ejpam-5567	576	39	open	open	ADJ
ejpam-5567	576	40	set	set	NOUN
ejpam-5567	576	41	.	.	PUNCT
ejpam-5567	577	1	m.	m.	NOUN
ejpam-5567	577	2	nawaz	nawaz	PROPN
ejpam-5567	577	3	et	et	PROPN
ejpam-5567	577	4	al	al	PROPN
ejpam-5567	577	5	.	.	PUNCT
ejpam-5567	577	6	/	/	SYM
ejpam-5567	577	7	eur	eur	PROPN
ejpam-5567	577	8	.	.	PUNCT
ejpam-5567	578	1	j.	j.	PROPN
ejpam-5567	578	2	pure	pure	PROPN
ejpam-5567	578	3	appl	appl	PROPN
ejpam-5567	578	4	.	.	PROPN
ejpam-5567	578	5	math	math	PROPN
ejpam-5567	578	6	,	,	PUNCT
ejpam-5567	578	7	18	18	NUM
ejpam-5567	578	8	(	(	PUNCT
ejpam-5567	578	9	1	1	NUM
ejpam-5567	578	10	)	)	PUNCT
ejpam-5567	578	11	(	(	PUNCT
ejpam-5567	578	12	2025	2025	NUM
ejpam-5567	578	13	)	)	PUNCT
ejpam-5567	578	14	,	,	PUNCT
ejpam-5567	578	15	5567	5567	NUM
ejpam-5567	578	16	25	25	NUM
ejpam-5567	578	17	of	of	ADP
ejpam-5567	578	18	45	45	NUM
ejpam-5567	578	19	remark	remark	NOUN
ejpam-5567	578	20	3	3	NUM
ejpam-5567	578	21	.	.	PUNCT
ejpam-5567	579	1	let	let	AUX
ejpam-5567	579	2	(	(	PUNCT
ejpam-5567	579	3	u1	u1	NOUN
ejpam-5567	579	4	,	,	PUNCT
ejpam-5567	579	5	u2	u2	NOUN
ejpam-5567	579	6	,	,	PUNCT
ejpam-5567	579	7	u3	u3	NOUN
ejpam-5567	579	8	,	,	PUNCT
ejpam-5567	579	9	τ∆	τ∆	NOUN
ejpam-5567	579	10	,	,	PUNCT
ejpam-5567	579	11	e	e	X
ejpam-5567	579	12	)	)	PUNCT
ejpam-5567	579	13	be	be	VERB
ejpam-5567	579	14	the	the	DET
ejpam-5567	579	15	ternary	ternary	ADJ
ejpam-5567	579	16	soft	soft	ADJ
ejpam-5567	579	17	topological	topological	ADJ
ejpam-5567	579	18	space	space	NOUN
ejpam-5567	579	19	over	over	ADP
ejpam-5567	579	20	u1	u1	PROPN
ejpam-5567	579	21	,	,	PUNCT
ejpam-5567	579	22	u2	u2	NOUN
ejpam-5567	579	23	,	,	PUNCT
ejpam-5567	579	24	u3	u3	NOUN
ejpam-5567	579	25	,	,	PUNCT
ejpam-5567	579	26	and	and	CCONJ
ejpam-5567	579	27	let	let	VERB
ejpam-5567	579	28	(	(	PUNCT
ejpam-5567	579	29	f	f	X
ejpam-5567	579	30	,	,	PUNCT
ejpam-5567	579	31	e	e	NOUN
ejpam-5567	579	32	)	)	PUNCT
ejpam-5567	579	33	be	be	VERB
ejpam-5567	579	34	any	any	DET
ejpam-5567	579	35	ternary	ternary	ADJ
ejpam-5567	579	36	soft	soft	ADJ
ejpam-5567	579	37	open	open	ADJ
ejpam-5567	579	38	set	set	NOUN
ejpam-5567	579	39	.	.	PUNCT
ejpam-5567	580	1	then	then	ADV
ejpam-5567	580	2	we	we	PRON
ejpam-5567	580	3	always	always	ADV
ejpam-5567	580	4	have	have	VERB
ejpam-5567	580	5	(	(	PUNCT
ejpam-5567	580	6	h	h	NOUN
ejpam-5567	580	7	,	,	PUNCT
ejpam-5567	580	8	e	e	NOUN
ejpam-5567	580	9	)	)	PUNCT
ejpam-5567	580	10	◦	◦	NOUN
ejpam-5567	580	11	˜̃⊆(f	˜̃⊆(f	PROPN
ejpam-5567	580	12	,	,	PUNCT
ejpam-5567	580	13	e	e	NOUN
ejpam-5567	580	14	)	)	PUNCT
ejpam-5567	580	15	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	580	16	,	,	PUNCT
ejpam-5567	580	17	e	e	NOUN
ejpam-5567	580	18	)	)	PUNCT
ejpam-5567	580	19	.	.	PUNCT
ejpam-5567	581	1	remark	remark	PROPN
ejpam-5567	581	2	4	4	NUM
ejpam-5567	581	3	.	.	PUNCT
ejpam-5567	582	1	(	(	PUNCT
ejpam-5567	582	2	h	h	NOUN
ejpam-5567	582	3	,	,	PUNCT
ejpam-5567	582	4	e	e	NOUN
ejpam-5567	582	5	)	)	PUNCT
ejpam-5567	582	6	˜̃=	˜̃=	PROPN
ejpam-5567	582	7	[	[	PUNCT
ejpam-5567	582	8	˜̃	˜̃	NOUN
ejpam-5567	582	9	x	x	SYM
ejpam-5567	582	10	−	−	PROPN
ejpam-5567	582	11	(	(	PUNCT
ejpam-5567	582	12	h	h	NOUN
ejpam-5567	582	13	,	,	PUNCT
ejpam-5567	582	14	e	e	NOUN
ejpam-5567	582	15	)	)	PUNCT
ejpam-5567	582	16	]	]	PUNCT
ejpam-5567	582	17	and	and	CCONJ
ejpam-5567	582	18	bd	bd	PROPN
ejpam-5567	582	19	(	(	PUNCT
ejpam-5567	582	20	h	h	NOUN
ejpam-5567	582	21	,	,	PUNCT
ejpam-5567	582	22	e	e	NOUN
ejpam-5567	582	23	)	)	PUNCT
ejpam-5567	582	24	=	=	SYM
ejpam-5567	582	25	bd	bd	PROPN
ejpam-5567	582	26	[	[	PUNCT
ejpam-5567	582	27	˜̃	˜̃	NOUN
ejpam-5567	582	28	x	x	X
ejpam-5567	582	29	−	−	PROPN
ejpam-5567	582	30	(	(	PUNCT
ejpam-5567	582	31	h	h	NOUN
ejpam-5567	582	32	,	,	PUNCT
ejpam-5567	582	33	e	e	NOUN
ejpam-5567	582	34	)	)	PUNCT
ejpam-5567	582	35	]	]	PUNCT
ejpam-5567	582	36	.	.	PUNCT
ejpam-5567	583	1	to	to	PART
ejpam-5567	583	2	prove	prove	VERB
ejpam-5567	583	3	;	;	PUNCT
ejpam-5567	583	4	bd(h	bd(h	X
ejpam-5567	583	5	,	,	PUNCT
ejpam-5567	583	6	e	e	NOUN
ejpam-5567	583	7	)	)	PUNCT
ejpam-5567	583	8	=	=	SYM
ejpam-5567	583	9	bd(h	bd(h	X
ejpam-5567	583	10	,	,	PUNCT
ejpam-5567	583	11	e	e	NOUN
ejpam-5567	583	12	)	)	PUNCT
ejpam-5567	583	13	˜̃∩	˜̃∩	ADV
ejpam-5567	583	14	[	[	PUNCT
ejpam-5567	583	15	˜̃	˜̃	NOUN
ejpam-5567	583	16	x	x	X
ejpam-5567	583	17	−	−	PROPN
ejpam-5567	583	18	(	(	PUNCT
ejpam-5567	583	19	h	h	NOUN
ejpam-5567	583	20	,	,	PUNCT
ejpam-5567	583	21	e	e	NOUN
ejpam-5567	583	22	)	)	PUNCT
ejpam-5567	583	23	]	]	PUNCT
ejpam-5567	583	24	⇒	⇒	NOUN
ejpam-5567	583	25	(	(	PUNCT
ejpam-5567	583	26	1	1	X
ejpam-5567	583	27	)	)	PUNCT
ejpam-5567	583	28	bd	bd	PROPN
ejpam-5567	583	29	[	[	PUNCT
ejpam-5567	583	30	˜̃	˜̃	NOUN
ejpam-5567	583	31	x	x	X
ejpam-5567	583	32	−	−	PROPN
ejpam-5567	583	33	(	(	PUNCT
ejpam-5567	583	34	h	h	NOUN
ejpam-5567	583	35	,	,	PUNCT
ejpam-5567	583	36	e	e	NOUN
ejpam-5567	583	37	)	)	PUNCT
ejpam-5567	583	38	]	]	PUNCT
ejpam-5567	584	1	=	=	PUNCT
ejpam-5567	584	2	[	[	PUNCT
ejpam-5567	584	3	˜̃	˜̃	NOUN
ejpam-5567	584	4	x	x	X
ejpam-5567	584	5	−	−	PROPN
ejpam-5567	584	6	(	(	PUNCT
ejpam-5567	584	7	h	h	NOUN
ejpam-5567	584	8	,	,	PUNCT
ejpam-5567	584	9	e)]˜̃∩	e)]˜̃∩	ADV
ejpam-5567	584	10	[	[	PUNCT
ejpam-5567	584	11	˜̃x	˜̃x	NOUN
ejpam-5567	584	12	−	−	PROPN
ejpam-5567	584	13	(	(	PUNCT
ejpam-5567	584	14	˜̃	˜̃	NOUN
ejpam-5567	584	15	x	x	X
ejpam-5567	584	16	−	−	PROPN
ejpam-5567	584	17	(	(	PUNCT
ejpam-5567	584	18	h	h	NOUN
ejpam-5567	584	19	,	,	PUNCT
ejpam-5567	584	20	e	e	NOUN
ejpam-5567	584	21	)	)	PUNCT
ejpam-5567	584	22	)	)	PUNCT
ejpam-5567	584	23	]	]	PUNCT
ejpam-5567	584	24	.	.	PUNCT
ejpam-5567	585	1	hence	hence	ADV
ejpam-5567	585	2	,	,	PUNCT
ejpam-5567	585	3	[	[	PUNCT
ejpam-5567	585	4	˜̃	˜̃	NOUN
ejpam-5567	585	5	x	x	X
ejpam-5567	585	6	−	−	PROPN
ejpam-5567	585	7	(	(	PUNCT
ejpam-5567	585	8	h	h	NOUN
ejpam-5567	585	9	,	,	PUNCT
ejpam-5567	585	10	e)]˜̃∩	e)]˜̃∩	ADV
ejpam-5567	585	11	(	(	PUNCT
ejpam-5567	585	12	h	h	NOUN
ejpam-5567	585	13	,	,	PUNCT
ejpam-5567	585	14	e	e	NOUN
ejpam-5567	585	15	)	)	PUNCT
ejpam-5567	585	16	⇒	⇒	NOUN
ejpam-5567	585	17	(	(	PUNCT
ejpam-5567	585	18	h	h	NOUN
ejpam-5567	585	19	,	,	PUNCT
ejpam-5567	585	20	e)˜̃∩	e)˜̃∩	X
ejpam-5567	585	21	[	[	PUNCT
ejpam-5567	585	22	˜̃	˜̃	NOUN
ejpam-5567	585	23	x	x	X
ejpam-5567	585	24	−	−	PROPN
ejpam-5567	585	25	(	(	PUNCT
ejpam-5567	585	26	h	h	NOUN
ejpam-5567	585	27	,	,	PUNCT
ejpam-5567	585	28	e)]˜̃∩	e)]˜̃∩	ADV
ejpam-5567	585	29	=	=	SYM
ejpam-5567	585	30	bd(h	bd(h	X
ejpam-5567	585	31	,	,	PUNCT
ejpam-5567	585	32	e	e	NOUN
ejpam-5567	585	33	)	)	PUNCT
ejpam-5567	585	34	.	.	PUNCT
ejpam-5567	586	1	thus	thus	ADV
ejpam-5567	586	2	,	,	PUNCT
ejpam-5567	586	3	bd	bd	PROPN
ejpam-5567	586	4	(	(	PUNCT
ejpam-5567	586	5	h	h	NOUN
ejpam-5567	586	6	,	,	PUNCT
ejpam-5567	586	7	e	e	NOUN
ejpam-5567	586	8	)	)	PUNCT
ejpam-5567	586	9	=	=	SYM
ejpam-5567	586	10	bd	bd	PROPN
ejpam-5567	586	11	[	[	PUNCT
ejpam-5567	586	12	˜̃	˜̃	NOUN
ejpam-5567	586	13	x	x	X
ejpam-5567	586	14	−	−	PROPN
ejpam-5567	586	15	(	(	PUNCT
ejpam-5567	586	16	h	h	NOUN
ejpam-5567	586	17	,	,	PUNCT
ejpam-5567	586	18	e	e	NOUN
ejpam-5567	586	19	)	)	PUNCT
ejpam-5567	586	20	]	]	PUNCT
ejpam-5567	586	21	.	.	PUNCT
ejpam-5567	587	1	theorem	theorem	ADJ
ejpam-5567	587	2	9	9	NUM
ejpam-5567	587	3	.	.	PUNCT
ejpam-5567	588	1	let	let	AUX
ejpam-5567	588	2	(	(	PUNCT
ejpam-5567	588	3	u1	u1	NOUN
ejpam-5567	588	4	,	,	PUNCT
ejpam-5567	588	5	u2	u2	NOUN
ejpam-5567	588	6	,	,	PUNCT
ejpam-5567	588	7	u3	u3	NOUN
ejpam-5567	588	8	,	,	PUNCT
ejpam-5567	588	9	τ∆	τ∆	NOUN
ejpam-5567	588	10	,	,	PUNCT
ejpam-5567	588	11	e	e	X
ejpam-5567	588	12	)	)	PUNCT
ejpam-5567	588	13	be	be	VERB
ejpam-5567	588	14	the	the	DET
ejpam-5567	588	15	ternary	ternary	ADJ
ejpam-5567	588	16	soft	soft	ADJ
ejpam-5567	588	17	topological	topological	ADJ
ejpam-5567	588	18	space	space	NOUN
ejpam-5567	588	19	.	.	PUNCT
ejpam-5567	589	1	let	let	VERB
ejpam-5567	589	2	(	(	PUNCT
ejpam-5567	589	3	h	h	NOUN
ejpam-5567	589	4	,	,	PUNCT
ejpam-5567	589	5	e	e	NOUN
ejpam-5567	589	6	)	)	PUNCT
ejpam-5567	589	7	be	be	VERB
ejpam-5567	589	8	any	any	DET
ejpam-5567	589	9	ternary	ternary	ADJ
ejpam-5567	589	10	soft	soft	ADJ
ejpam-5567	589	11	subset	subset	NOUN
ejpam-5567	589	12	of	of	ADP
ejpam-5567	589	13	˜̃	˜̃	NOUN
ejpam-5567	589	14	x.	x.	NOUN
ejpam-5567	589	15	then	then	ADV
ejpam-5567	589	16	the	the	DET
ejpam-5567	589	17	following	follow	VERB
ejpam-5567	589	18	properties	property	NOUN
ejpam-5567	589	19	are	be	AUX
ejpam-5567	589	20	true	true	ADJ
ejpam-5567	589	21	:	:	PUNCT
ejpam-5567	589	22	(	(	PUNCT
ejpam-5567	589	23	i	i	NOUN
ejpam-5567	589	24	)	)	PUNCT
ejpam-5567	589	25	bd(h	bd(h	ADJ
ejpam-5567	589	26	,	,	PUNCT
ejpam-5567	589	27	e	e	NOUN
ejpam-5567	589	28	)	)	PUNCT
ejpam-5567	589	29	=	=	SYM
ejpam-5567	589	30	(	(	PUNCT
ejpam-5567	589	31	h	h	NOUN
ejpam-5567	589	32	,	,	PUNCT
ejpam-5567	589	33	e)−	e)−	PROPN
ejpam-5567	589	34	(	(	PUNCT
ejpam-5567	589	35	h	h	NOUN
ejpam-5567	589	36	,	,	PUNCT
ejpam-5567	589	37	e)	e)	PROPN
ejpam-5567	589	38	◦	◦	NOUN
ejpam-5567	589	39	.	.	PUNCT
ejpam-5567	590	1	(	(	PUNCT
ejpam-5567	590	2	ii	ii	NOUN
ejpam-5567	590	3	)	)	PUNCT
ejpam-5567	590	4	(	(	PUNCT
ejpam-5567	590	5	h	h	NOUN
ejpam-5567	590	6	,	,	PUNCT
ejpam-5567	590	7	e	e	NOUN
ejpam-5567	590	8	)	)	PUNCT
ejpam-5567	590	9	◦	◦	NOUN
ejpam-5567	590	10	=	=	SYM
ejpam-5567	590	11	(	(	PUNCT
ejpam-5567	590	12	h	h	NOUN
ejpam-5567	590	13	,	,	PUNCT
ejpam-5567	590	14	e)−	e)−	PROPN
ejpam-5567	590	15	bd(h	bd(h	ADJ
ejpam-5567	590	16	,	,	PUNCT
ejpam-5567	590	17	e	e	NOUN
ejpam-5567	590	18	)	)	PUNCT
ejpam-5567	590	19	.	.	PUNCT
ejpam-5567	591	1	(	(	PUNCT
ejpam-5567	591	2	iii	iii	X
ejpam-5567	591	3	)	)	PUNCT
ejpam-5567	591	4	˜̃	˜̃	NOUN
ejpam-5567	591	5	x	x	SYM
ejpam-5567	591	6	˜̃=(h	˜̃=(h	NOUN
ejpam-5567	591	7	,	,	PUNCT
ejpam-5567	591	8	e	e	NOUN
ejpam-5567	591	9	)	)	PUNCT
ejpam-5567	591	10	◦	◦	NOUN
ejpam-5567	591	11	˜̃∩bd(h	˜̃∩bd(h	PROPN
ejpam-5567	591	12	,	,	PUNCT
ejpam-5567	591	13	e)˜̃∪	e)˜̃∪	PROPN
ejpam-5567	591	14	[	[	PUNCT
ejpam-5567	591	15	˜̃x	˜̃x	PROPN
ejpam-5567	591	16	−	−	PROPN
ejpam-5567	591	17	(	(	PUNCT
ejpam-5567	591	18	h	h	NOUN
ejpam-5567	591	19	,	,	PUNCT
ejpam-5567	591	20	e	e	NOUN
ejpam-5567	591	21	)	)	PUNCT
ejpam-5567	591	22	◦	◦	NOUN
ejpam-5567	591	23	]	]	PUNCT
ejpam-5567	591	24	.	.	PUNCT
ejpam-5567	592	1	proof	proof	NOUN
ejpam-5567	592	2	.	.	PUNCT
ejpam-5567	593	1	(	(	PUNCT
ejpam-5567	593	2	i	i	NOUN
ejpam-5567	593	3	)	)	PUNCT
ejpam-5567	593	4	we	we	PRON
ejpam-5567	593	5	know	know	VERB
ejpam-5567	593	6	that	that	SCONJ
ejpam-5567	593	7	bd(h	bd(h	ADJ
ejpam-5567	593	8	,	,	PUNCT
ejpam-5567	593	9	e	e	NOUN
ejpam-5567	593	10	)	)	PUNCT
ejpam-5567	593	11	=	=	SYM
ejpam-5567	593	12	(	(	PUNCT
ejpam-5567	593	13	h.e	h.e	PROPN
ejpam-5567	593	14	)	)	PUNCT
ejpam-5567	593	15	˜̃=	˜̃=	PROPN
ejpam-5567	593	16	(	(	PUNCT
ejpam-5567	593	17	h	h	NOUN
ejpam-5567	593	18	,	,	PUNCT
ejpam-5567	593	19	e	e	NOUN
ejpam-5567	593	20	)	)	PUNCT
ejpam-5567	593	21	˜̃∩	˜̃∩	ADV
ejpam-5567	593	22	(	(	PUNCT
ejpam-5567	593	23	h	h	NOUN
ejpam-5567	593	24	,	,	PUNCT
ejpam-5567	593	25	e)′	e)′	PRON
ejpam-5567	593	26	⇒	⇒	NOUN
ejpam-5567	593	27	(	(	PUNCT
ejpam-5567	593	28	h	h	NOUN
ejpam-5567	593	29	,	,	PUNCT
ejpam-5567	593	30	e	e	NOUN
ejpam-5567	593	31	)	)	PUNCT
ejpam-5567	594	1	=	=	SYM
ejpam-5567	594	2	(	(	PUNCT
ejpam-5567	594	3	h	h	NOUN
ejpam-5567	594	4	,	,	PUNCT
ejpam-5567	594	5	e)−	e)−	PROPN
ejpam-5567	594	6	[	[	PUNCT
ejpam-5567	594	7	˜̃	˜̃	NOUN
ejpam-5567	594	8	x	x	X
ejpam-5567	594	9	−	−	PROPN
ejpam-5567	594	10	(	(	PUNCT
ejpam-5567	594	11	˜̃	˜̃	NOUN
ejpam-5567	594	12	x	x	X
ejpam-5567	594	13	−	−	PROPN
ejpam-5567	594	14	(	(	PUNCT
ejpam-5567	594	15	h	h	NOUN
ejpam-5567	594	16	,	,	PUNCT
ejpam-5567	594	17	e	e	NOUN
ejpam-5567	594	18	)	)	PUNCT
ejpam-5567	594	19	)	)	PUNCT
ejpam-5567	594	20	]	]	PUNCT
ejpam-5567	594	21	◦	◦	NOUN
ejpam-5567	594	22	=	=	SYM
ejpam-5567	594	23	(	(	PUNCT
ejpam-5567	594	24	h	h	NOUN
ejpam-5567	594	25	,	,	PUNCT
ejpam-5567	594	26	e)−	e)−	PROPN
ejpam-5567	594	27	[	[	PUNCT
ejpam-5567	594	28	˜̃	˜̃	NOUN
ejpam-5567	594	29	x	x	NOUN
ejpam-5567	594	30	(	(	PUNCT
ejpam-5567	594	31	˜̃	˜̃	NOUN
ejpam-5567	594	32	x	x	X
ejpam-5567	594	33	−	−	PROPN
ejpam-5567	594	34	(	(	PUNCT
ejpam-5567	594	35	h	h	NOUN
ejpam-5567	594	36	,	,	PUNCT
ejpam-5567	594	37	e	e	NOUN
ejpam-5567	594	38	)	)	PUNCT
ejpam-5567	594	39	)	)	PUNCT
ejpam-5567	594	40	]	]	PUNCT
ejpam-5567	594	41	◦	◦	NOUN
ejpam-5567	594	42	.	.	PUNCT
ejpam-5567	595	1	thus	thus	ADV
ejpam-5567	595	2	,	,	PUNCT
ejpam-5567	595	3	=	=	SYM
ejpam-5567	595	4	(	(	PUNCT
ejpam-5567	595	5	h	h	NOUN
ejpam-5567	595	6	,	,	PUNCT
ejpam-5567	595	7	e)−	e)−	PROPN
ejpam-5567	595	8	(	(	PUNCT
ejpam-5567	595	9	h	h	NOUN
ejpam-5567	595	10	,	,	PUNCT
ejpam-5567	595	11	e	e	NOUN
ejpam-5567	595	12	)	)	PUNCT
ejpam-5567	595	13	◦	◦	NOUN
ejpam-5567	595	14	=	=	SYM
ejpam-5567	595	15	bd	bd	PROPN
ejpam-5567	595	16	(	(	PUNCT
ejpam-5567	595	17	h	h	NOUN
ejpam-5567	595	18	,	,	PUNCT
ejpam-5567	595	19	e	e	NOUN
ejpam-5567	595	20	)	)	PUNCT
ejpam-5567	595	21	=	=	SYM
ejpam-5567	595	22	(	(	PUNCT
ejpam-5567	595	23	h	h	NOUN
ejpam-5567	595	24	,	,	PUNCT
ejpam-5567	595	25	e)−	e)−	PROPN
ejpam-5567	595	26	(	(	PUNCT
ejpam-5567	595	27	h	h	NOUN
ejpam-5567	595	28	,	,	PUNCT
ejpam-5567	595	29	e)	e)	PROPN
ejpam-5567	595	30	◦	◦	NOUN
ejpam-5567	595	31	.	.	PUNCT
ejpam-5567	595	32	(	(	PUNCT
ejpam-5567	595	33	ii	ii	NOUN
ejpam-5567	595	34	)	)	PUNCT
ejpam-5567	595	35	consider	consider	VERB
ejpam-5567	595	36	(	(	PUNCT
ejpam-5567	595	37	h	h	NOUN
ejpam-5567	595	38	,	,	PUNCT
ejpam-5567	595	39	e)−	e)−	PROPN
ejpam-5567	595	40	bd	bd	PROPN
ejpam-5567	595	41	(	(	PUNCT
ejpam-5567	595	42	h	h	NOUN
ejpam-5567	595	43	,	,	PUNCT
ejpam-5567	595	44	e	e	NOUN
ejpam-5567	595	45	)	)	PUNCT
ejpam-5567	595	46	=	=	SYM
ejpam-5567	595	47	(	(	PUNCT
ejpam-5567	595	48	h	h	NOUN
ejpam-5567	595	49	,	,	PUNCT
ejpam-5567	595	50	e)−	e)−	PROPN
ejpam-5567	596	1	[	[	X
ejpam-5567	596	2	(	(	PUNCT
ejpam-5567	596	3	h	h	NOUN
ejpam-5567	596	4	,	,	PUNCT
ejpam-5567	596	5	e)−	e)−	PROPN
ejpam-5567	596	6	(	(	PUNCT
ejpam-5567	596	7	˜̃	˜̃	NOUN
ejpam-5567	596	8	x	x	X
ejpam-5567	596	9	−	−	PROPN
ejpam-5567	596	10	(	(	PUNCT
ejpam-5567	596	11	h	h	NOUN
ejpam-5567	596	12	,	,	PUNCT
ejpam-5567	596	13	e	e	NOUN
ejpam-5567	596	14	)	)	PUNCT
ejpam-5567	596	15	)	)	PUNCT
ejpam-5567	596	16	]	]	PUNCT
ejpam-5567	597	1	=	=	PUNCT
ejpam-5567	597	2	(	(	PUNCT
ejpam-5567	597	3	h	h	NOUN
ejpam-5567	597	4	,	,	PUNCT
ejpam-5567	597	5	e	e	NOUN
ejpam-5567	597	6	)	)	PUNCT
ejpam-5567	597	7	˜̃∩	˜̃∩	ADV
ejpam-5567	597	8	[	[	PUNCT
ejpam-5567	597	9	˜̃	˜̃	NOUN
ejpam-5567	597	10	x	x	X
ejpam-5567	597	11	−	−	PROPN
ejpam-5567	597	12	(	(	PUNCT
ejpam-5567	597	13	h	h	NOUN
ejpam-5567	597	14	,	,	PUNCT
ejpam-5567	597	15	e	e	NOUN
ejpam-5567	597	16	)	)	PUNCT
ejpam-5567	597	17	˜̃∩	˜̃∩	ADV
ejpam-5567	597	18	(	(	PUNCT
ejpam-5567	597	19	˜̃	˜̃	NOUN
ejpam-5567	597	20	x	x	X
ejpam-5567	597	21	−	−	PROPN
ejpam-5567	597	22	(	(	PUNCT
ejpam-5567	597	23	h	h	NOUN
ejpam-5567	597	24	,	,	PUNCT
ejpam-5567	597	25	e	e	NOUN
ejpam-5567	597	26	)	)	PUNCT
ejpam-5567	597	27	)	)	PUNCT
ejpam-5567	597	28	]	]	PUNCT
ejpam-5567	598	1	=	=	PUNCT
ejpam-5567	598	2	(	(	PUNCT
ejpam-5567	598	3	h	h	NOUN
ejpam-5567	598	4	,	,	PUNCT
ejpam-5567	598	5	e	e	NOUN
ejpam-5567	598	6	)	)	PUNCT
ejpam-5567	598	7	˜̃∩	˜̃∩	ADV
ejpam-5567	598	8	[	[	X
ejpam-5567	598	9	(	(	PUNCT
ejpam-5567	598	10	˜̃	˜̃	NOUN
ejpam-5567	598	11	x	x	X
ejpam-5567	598	12	−	−	PROPN
ejpam-5567	598	13	(	(	PUNCT
ejpam-5567	598	14	h	h	NOUN
ejpam-5567	598	15	,	,	PUNCT
ejpam-5567	598	16	e	e	NOUN
ejpam-5567	598	17	)	)	PUNCT
ejpam-5567	598	18	)	)	PUNCT
ejpam-5567	599	1	˜̃∪	˜̃∪	PROPN
ejpam-5567	599	2	(	(	PUNCT
ejpam-5567	599	3	˜̃	˜̃	NOUN
ejpam-5567	599	4	x	x	SYM
ejpam-5567	599	5	−	−	X
ejpam-5567	599	6	[	[	PUNCT
ejpam-5567	599	7	˜̃	˜̃	NOUN
ejpam-5567	599	8	x	x	X
ejpam-5567	599	9	−	−	PROPN
ejpam-5567	599	10	(	(	PUNCT
ejpam-5567	599	11	h	h	NOUN
ejpam-5567	599	12	,	,	PUNCT
ejpam-5567	599	13	e	e	NOUN
ejpam-5567	599	14	)	)	PUNCT
ejpam-5567	599	15	]	]	PUNCT
ejpam-5567	599	16	)	)	PUNCT
ejpam-5567	599	17	]	]	PUNCT
ejpam-5567	600	1	m.	m.	NOUN
ejpam-5567	600	2	nawaz	nawaz	PROPN
ejpam-5567	600	3	et	et	PROPN
ejpam-5567	600	4	al	al	PROPN
ejpam-5567	600	5	.	.	PUNCT
ejpam-5567	600	6	/	/	SYM
ejpam-5567	600	7	eur	eur	PROPN
ejpam-5567	600	8	.	.	PUNCT
ejpam-5567	601	1	j.	j.	PROPN
ejpam-5567	601	2	pure	pure	PROPN
ejpam-5567	601	3	appl	appl	PROPN
ejpam-5567	601	4	.	.	PROPN
ejpam-5567	601	5	math	math	PROPN
ejpam-5567	601	6	,	,	PUNCT
ejpam-5567	601	7	18	18	NUM
ejpam-5567	601	8	(	(	PUNCT
ejpam-5567	601	9	1	1	NUM
ejpam-5567	601	10	)	)	PUNCT
ejpam-5567	601	11	(	(	PUNCT
ejpam-5567	601	12	2025	2025	NUM
ejpam-5567	601	13	)	)	PUNCT
ejpam-5567	601	14	,	,	PUNCT
ejpam-5567	601	15	5567	5567	NUM
ejpam-5567	601	16	26	26	NUM
ejpam-5567	601	17	of	of	ADP
ejpam-5567	601	18	45	45	NUM
ejpam-5567	601	19	.	.	PUNCT
ejpam-5567	602	1	this	this	DET
ejpam-5567	602	2	simplifies	simplifie	NOUN
ejpam-5567	602	3	to	to	ADP
ejpam-5567	602	4	⇒	⇒	PROPN
ejpam-5567	602	5	(	(	PUNCT
ejpam-5567	602	6	h	h	NOUN
ejpam-5567	602	7	,	,	PUNCT
ejpam-5567	602	8	e	e	NOUN
ejpam-5567	602	9	)	)	PUNCT
ejpam-5567	602	10	˜̃∩	˜̃∩	ADV
ejpam-5567	602	11	[	[	X
ejpam-5567	602	12	(	(	PUNCT
ejpam-5567	602	13	˜̃	˜̃	NOUN
ejpam-5567	602	14	x	x	X
ejpam-5567	602	15	−	−	PROPN
ejpam-5567	602	16	(	(	PUNCT
ejpam-5567	602	17	h	h	NOUN
ejpam-5567	602	18	,	,	PUNCT
ejpam-5567	602	19	e	e	NOUN
ejpam-5567	602	20	)	)	PUNCT
ejpam-5567	602	21	)	)	PUNCT
ejpam-5567	603	1	˜̃∪	˜̃∪	PROPN
ejpam-5567	603	2	(	(	PUNCT
ejpam-5567	603	3	˜̃	˜̃	NOUN
ejpam-5567	603	4	x	x	X
ejpam-5567	603	5	−	−	PROPN
ejpam-5567	604	1	[	[	X
ejpam-5567	604	2	(	(	PUNCT
ejpam-5567	604	3	h	h	NOUN
ejpam-5567	604	4	,	,	PUNCT
ejpam-5567	604	5	e	e	NOUN
ejpam-5567	604	6	)	)	PUNCT
ejpam-5567	604	7	◦	◦	NOUN
ejpam-5567	604	8	]	]	PUNCT
ejpam-5567	604	9	)	)	PUNCT
ejpam-5567	604	10	]	]	PUNCT
ejpam-5567	605	1	=	=	PUNCT
ejpam-5567	605	2	(	(	PUNCT
ejpam-5567	605	3	h	h	NOUN
ejpam-5567	605	4	,	,	PUNCT
ejpam-5567	605	5	e	e	NOUN
ejpam-5567	605	6	)	)	PUNCT
ejpam-5567	605	7	˜̃∩	˜̃∩	ADV
ejpam-5567	605	8	[	[	X
ejpam-5567	605	9	(	(	PUNCT
ejpam-5567	605	10	˜̃	˜̃	NOUN
ejpam-5567	605	11	x	x	X
ejpam-5567	605	12	−	−	PROPN
ejpam-5567	605	13	(	(	PUNCT
ejpam-5567	605	14	h	h	NOUN
ejpam-5567	605	15	,	,	PUNCT
ejpam-5567	605	16	e	e	NOUN
ejpam-5567	605	17	)	)	PUNCT
ejpam-5567	605	18	)	)	PUNCT
ejpam-5567	606	1	˜̃∪	˜̃∪	PROPN
ejpam-5567	607	1	[	[	X
ejpam-5567	607	2	(	(	PUNCT
ejpam-5567	607	3	h	h	NOUN
ejpam-5567	607	4	,	,	PUNCT
ejpam-5567	607	5	e	e	NOUN
ejpam-5567	607	6	)	)	PUNCT
ejpam-5567	607	7	˜̃∩	˜̃∩	ADV
ejpam-5567	607	8	(	(	PUNCT
ejpam-5567	607	9	h	h	NOUN
ejpam-5567	607	10	,	,	PUNCT
ejpam-5567	607	11	e	e	NOUN
ejpam-5567	607	12	)	)	PUNCT
ejpam-5567	607	13	◦	◦	NOUN
ejpam-5567	607	14	]	]	X
ejpam-5567	607	15	]	]	PUNCT
ejpam-5567	607	16	.	.	PUNCT
ejpam-5567	608	1	therefore	therefore	ADV
ejpam-5567	608	2	,	,	PUNCT
ejpam-5567	608	3	(	(	PUNCT
ejpam-5567	608	4	h	h	NOUN
ejpam-5567	608	5	,	,	PUNCT
ejpam-5567	608	6	e	e	NOUN
ejpam-5567	608	7	)	)	PUNCT
ejpam-5567	608	8	◦	◦	NOUN
ejpam-5567	608	9	=	=	SYM
ejpam-5567	608	10	(	(	PUNCT
ejpam-5567	608	11	h	h	NOUN
ejpam-5567	608	12	,	,	PUNCT
ejpam-5567	608	13	e)−	e)−	PROPN
ejpam-5567	608	14	bd	bd	PROPN
ejpam-5567	608	15	(	(	PUNCT
ejpam-5567	608	16	h	h	NOUN
ejpam-5567	608	17	,	,	PUNCT
ejpam-5567	608	18	e	e	NOUN
ejpam-5567	608	19	)	)	PUNCT
ejpam-5567	608	20	.	.	PUNCT
ejpam-5567	609	1	(	(	PUNCT
ejpam-5567	609	2	iii	iii	X
ejpam-5567	609	3	)	)	PUNCT
ejpam-5567	609	4	consider	consider	VERB
ejpam-5567	609	5	the	the	DET
ejpam-5567	609	6	right	right	ADJ
ejpam-5567	609	7	-	-	PUNCT
ejpam-5567	609	8	hand	hand	NOUN
ejpam-5567	609	9	side	side	NOUN
ejpam-5567	609	10	(	(	PUNCT
ejpam-5567	609	11	h	h	NOUN
ejpam-5567	609	12	,	,	PUNCT
ejpam-5567	609	13	e	e	NOUN
ejpam-5567	609	14	)	)	PUNCT
ejpam-5567	609	15	◦	◦	NOUN
ejpam-5567	609	16	˜̃∪bd	˜̃∪bd	NOUN
ejpam-5567	609	17	(	(	PUNCT
ejpam-5567	609	18	h	h	NOUN
ejpam-5567	609	19	,	,	PUNCT
ejpam-5567	609	20	e)˜̃∪	e)˜̃∪	PROPN
ejpam-5567	609	21	[	[	PUNCT
ejpam-5567	609	22	˜̃	˜̃	NOUN
ejpam-5567	609	23	x	x	X
ejpam-5567	609	24	−	−	PROPN
ejpam-5567	609	25	(	(	PUNCT
ejpam-5567	609	26	h	h	NOUN
ejpam-5567	609	27	,	,	PUNCT
ejpam-5567	609	28	e	e	NOUN
ejpam-5567	609	29	)	)	PUNCT
ejpam-5567	609	30	◦	◦	NOUN
ejpam-5567	609	31	]	]	X
ejpam-5567	609	32	=	=	SYM
ejpam-5567	609	33	(	(	PUNCT
ejpam-5567	609	34	h	h	NOUN
ejpam-5567	609	35	,	,	PUNCT
ejpam-5567	609	36	e	e	NOUN
ejpam-5567	609	37	)	)	PUNCT
ejpam-5567	609	38	◦	◦	NOUN
ejpam-5567	609	39	˜̃∪	˜̃∪	PROPN
ejpam-5567	609	40	bd	bd	PROPN
ejpam-5567	609	41	(	(	PUNCT
ejpam-5567	609	42	h	h	NOUN
ejpam-5567	609	43	,	,	PUNCT
ejpam-5567	609	44	e	e	NOUN
ejpam-5567	609	45	)	)	PUNCT
ejpam-5567	609	46	˜̃∪	˜̃∪	PROPN
ejpam-5567	609	47	(	(	PUNCT
ejpam-5567	609	48	˜̃	˜̃	NOUN
ejpam-5567	609	49	x	x	X
ejpam-5567	609	50	−	−	PROPN
ejpam-5567	609	51	(	(	PUNCT
ejpam-5567	609	52	h	h	NOUN
ejpam-5567	609	53	,	,	PUNCT
ejpam-5567	609	54	e	e	NOUN
ejpam-5567	609	55	)	)	PUNCT
ejpam-5567	609	56	)	)	PUNCT
ejpam-5567	610	1	=	=	PRON
ejpam-5567	610	2	(	(	PUNCT
ejpam-5567	610	3	h	h	NOUN
ejpam-5567	610	4	,	,	PUNCT
ejpam-5567	610	5	e	e	NOUN
ejpam-5567	610	6	)	)	PUNCT
ejpam-5567	610	7	˜̃∪	˜̃∪	PROPN
ejpam-5567	610	8	(	(	PUNCT
ejpam-5567	610	9	˜̃	˜̃	NOUN
ejpam-5567	610	10	x	x	X
ejpam-5567	610	11	−	−	PROPN
ejpam-5567	610	12	(	(	PUNCT
ejpam-5567	610	13	h	h	NOUN
ejpam-5567	610	14	,	,	PUNCT
ejpam-5567	610	15	e	e	NOUN
ejpam-5567	610	16	)	)	PUNCT
ejpam-5567	610	17	)	)	PUNCT
ejpam-5567	611	1	=	=	SYM
ejpam-5567	611	2	˜̃	˜̃	NOUN
ejpam-5567	611	3	x.	x.	NOUN
ejpam-5567	611	4	further	far	ADV
ejpam-5567	611	5	,	,	PUNCT
ejpam-5567	611	6	we	we	PRON
ejpam-5567	611	7	know	know	VERB
ejpam-5567	611	8	that	that	SCONJ
ejpam-5567	611	9	bd	bd	PROPN
ejpam-5567	611	10	(	(	PUNCT
ejpam-5567	611	11	h	h	NOUN
ejpam-5567	611	12	,	,	PUNCT
ejpam-5567	611	13	e	e	NOUN
ejpam-5567	611	14	)	)	PUNCT
ejpam-5567	611	15	=	=	SYM
ejpam-5567	611	16	(	(	PUNCT
ejpam-5567	611	17	h	h	NOUN
ejpam-5567	611	18	,	,	PUNCT
ejpam-5567	611	19	e)−	e)−	PROPN
ejpam-5567	611	20	(	(	PUNCT
ejpam-5567	611	21	h	h	NOUN
ejpam-5567	611	22	,	,	PUNCT
ejpam-5567	611	23	e	e	NOUN
ejpam-5567	611	24	)	)	PUNCT
ejpam-5567	611	25	◦	◦	NOUN
ejpam-5567	611	26	,	,	PUNCT
ejpam-5567	611	27	which	which	PRON
ejpam-5567	611	28	implies	imply	VERB
ejpam-5567	611	29	that	that	SCONJ
ejpam-5567	611	30	bd(h	bd(h	ADJ
ejpam-5567	611	31	,	,	PUNCT
ejpam-5567	611	32	e	e	NOUN
ejpam-5567	611	33	)	)	PUNCT
ejpam-5567	611	34	and	and	CCONJ
ejpam-5567	611	35	(	(	PUNCT
ejpam-5567	611	36	h	h	NOUN
ejpam-5567	611	37	,	,	PUNCT
ejpam-5567	611	38	e	e	NOUN
ejpam-5567	611	39	)	)	PUNCT
ejpam-5567	611	40	◦	◦	NOUN
ejpam-5567	611	41	are	be	AUX
ejpam-5567	611	42	disjoint	disjoint	NOUN
ejpam-5567	611	43	→	→	PUNCT
ejpam-5567	611	44	(	(	PUNCT
ejpam-5567	611	45	1	1	NUM
ejpam-5567	611	46	)	)	PUNCT
ejpam-5567	611	47	.	.	PUNCT
ejpam-5567	612	1	replacing	replace	VERB
ejpam-5567	612	2	(	(	PUNCT
ejpam-5567	612	3	h	h	NOUN
ejpam-5567	612	4	,	,	PUNCT
ejpam-5567	612	5	e	e	NOUN
ejpam-5567	612	6	)	)	PUNCT
ejpam-5567	612	7	with	with	ADP
ejpam-5567	612	8	(	(	PUNCT
ejpam-5567	612	9	˜̃	˜̃	NOUN
ejpam-5567	612	10	x	x	X
ejpam-5567	612	11	−	−	PROPN
ejpam-5567	612	12	(	(	PUNCT
ejpam-5567	612	13	h	h	NOUN
ejpam-5567	612	14	,	,	PUNCT
ejpam-5567	612	15	e	e	NOUN
ejpam-5567	612	16	)	)	PUNCT
ejpam-5567	612	17	◦	◦	NOUN
ejpam-5567	612	18	)	)	PUNCT
ejpam-5567	612	19	,	,	PUNCT
ejpam-5567	612	20	are	be	AUX
ejpam-5567	612	21	disjoint	disjoint	NOUN
ejpam-5567	612	22	sets	set	NOUN
ejpam-5567	612	23	.	.	PUNCT
ejpam-5567	613	1	hence	hence	ADV
ejpam-5567	613	2	,	,	PUNCT
ejpam-5567	613	3	˜̃	˜̃	NOUN
ejpam-5567	613	4	x	x	X
ejpam-5567	613	5	=	=	SYM
ejpam-5567	613	6	(	(	PUNCT
ejpam-5567	613	7	h	h	NOUN
ejpam-5567	613	8	,	,	PUNCT
ejpam-5567	613	9	e	e	NOUN
ejpam-5567	613	10	)	)	PUNCT
ejpam-5567	613	11	˜̃∪	˜̃∪	PROPN
ejpam-5567	613	12	(	(	PUNCT
ejpam-5567	613	13	˜̃	˜̃	NOUN
ejpam-5567	613	14	x	x	X
ejpam-5567	613	15	−	−	PROPN
ejpam-5567	613	16	(	(	PUNCT
ejpam-5567	613	17	h	h	NOUN
ejpam-5567	613	18	,	,	PUNCT
ejpam-5567	613	19	e	e	NOUN
ejpam-5567	613	20	)	)	PUNCT
ejpam-5567	613	21	)	)	PUNCT
ejpam-5567	613	22	,	,	PUNCT
ejpam-5567	613	23	which	which	PRON
ejpam-5567	613	24	is	be	AUX
ejpam-5567	613	25	a	a	DET
ejpam-5567	613	26	ternary	ternary	ADJ
ejpam-5567	613	27	soft	soft	ADJ
ejpam-5567	613	28	disjoint	disjoint	NOUN
ejpam-5567	613	29	union	union	NOUN
ejpam-5567	613	30	.	.	PUNCT
ejpam-5567	614	1	theorem	theorem	VERB
ejpam-5567	614	2	10	10	NUM
ejpam-5567	614	3	.	.	PUNCT
ejpam-5567	615	1	let	let	AUX
ejpam-5567	615	2	(	(	PUNCT
ejpam-5567	615	3	u1	u1	NOUN
ejpam-5567	615	4	,	,	PUNCT
ejpam-5567	615	5	u2	u2	NOUN
ejpam-5567	615	6	,	,	PUNCT
ejpam-5567	615	7	u3	u3	NOUN
ejpam-5567	615	8	,	,	PUNCT
ejpam-5567	615	9	τ∆	τ∆	NOUN
ejpam-5567	615	10	,	,	PUNCT
ejpam-5567	615	11	e	e	X
ejpam-5567	615	12	)	)	PUNCT
ejpam-5567	615	13	be	be	VERB
ejpam-5567	615	14	the	the	DET
ejpam-5567	615	15	ternary	ternary	ADJ
ejpam-5567	615	16	soft	soft	ADJ
ejpam-5567	615	17	topological	topological	ADJ
ejpam-5567	615	18	space	space	NOUN
ejpam-5567	615	19	.	.	PUNCT
ejpam-5567	616	1	let	let	VERB
ejpam-5567	616	2	(	(	PUNCT
ejpam-5567	616	3	f	f	X
ejpam-5567	616	4	,	,	PUNCT
ejpam-5567	616	5	e	e	NOUN
ejpam-5567	616	6	)	)	PUNCT
ejpam-5567	616	7	be	be	VERB
ejpam-5567	616	8	any	any	DET
ejpam-5567	616	9	ternary	ternary	ADJ
ejpam-5567	616	10	soft	soft	ADJ
ejpam-5567	616	11	subset	subset	NOUN
ejpam-5567	616	12	of	of	ADP
ejpam-5567	616	13	u1	u1	NOUN
ejpam-5567	616	14	,	,	PUNCT
ejpam-5567	616	15	u2	u2	NOUN
ejpam-5567	616	16	,	,	PUNCT
ejpam-5567	616	17	u3	u3	NOUN
ejpam-5567	616	18	.	.	PUNCT
ejpam-5567	617	1	then	then	ADV
ejpam-5567	617	2	(	(	PUNCT
ejpam-5567	617	3	f	f	X
ejpam-5567	617	4	,	,	PUNCT
ejpam-5567	617	5	e	e	NOUN
ejpam-5567	617	6	)	)	PUNCT
ejpam-5567	617	7	is	be	AUX
ejpam-5567	617	8	ternary	ternary	ADJ
ejpam-5567	617	9	soft	soft	ADJ
ejpam-5567	617	10	closed	closed	ADJ
ejpam-5567	617	11	if	if	SCONJ
ejpam-5567	617	12	and	and	CCONJ
ejpam-5567	617	13	only	only	ADV
ejpam-5567	617	14	if	if	SCONJ
ejpam-5567	617	15	(	(	PUNCT
ejpam-5567	617	16	f	f	X
ejpam-5567	617	17	,	,	PUNCT
ejpam-5567	617	18	e	e	NOUN
ejpam-5567	617	19	)	)	PUNCT
ejpam-5567	617	20	⊇	⊇	PROPN
ejpam-5567	617	21	bd	bd	PROPN
ejpam-5567	617	22	(	(	PUNCT
ejpam-5567	617	23	f	f	PROPN
ejpam-5567	617	24	,	,	PUNCT
ejpam-5567	617	25	e	e	NOUN
ejpam-5567	617	26	)	)	PUNCT
ejpam-5567	617	27	.	.	PUNCT
ejpam-5567	618	1	proof	proof	NOUN
ejpam-5567	618	2	.	.	PUNCT
ejpam-5567	619	1	suppose	suppose	VERB
ejpam-5567	619	2	(	(	PUNCT
ejpam-5567	619	3	f	f	X
ejpam-5567	619	4	,	,	PUNCT
ejpam-5567	619	5	e	e	NOUN
ejpam-5567	619	6	)	)	PUNCT
ejpam-5567	619	7	is	be	AUX
ejpam-5567	619	8	a	a	DET
ejpam-5567	619	9	ternary	ternary	ADJ
ejpam-5567	619	10	soft	soft	ADJ
ejpam-5567	619	11	closed	closed	ADJ
ejpam-5567	619	12	set	set	NOUN
ejpam-5567	619	13	.	.	PUNCT
ejpam-5567	620	1	then	then	ADV
ejpam-5567	620	2	,	,	PUNCT
ejpam-5567	620	3	bd	bd	PROPN
ejpam-5567	620	4	(	(	PUNCT
ejpam-5567	620	5	h	h	NOUN
ejpam-5567	620	6	,	,	PUNCT
ejpam-5567	620	7	e	e	NOUN
ejpam-5567	620	8	)	)	PUNCT
ejpam-5567	620	9	=	=	SYM
ejpam-5567	620	10	(	(	PUNCT
ejpam-5567	620	11	f	f	X
ejpam-5567	620	12	,	,	PUNCT
ejpam-5567	620	13	e	e	NOUN
ejpam-5567	620	14	)	)	PUNCT
ejpam-5567	620	15	˜̃∩	˜̃∩	ADV
ejpam-5567	620	16	(	(	PUNCT
ejpam-5567	620	17	˜̃	˜̃	NOUN
ejpam-5567	620	18	x	x	X
ejpam-5567	620	19	−	−	PROPN
ejpam-5567	620	20	(	(	PUNCT
ejpam-5567	620	21	f	f	X
ejpam-5567	620	22	,	,	PUNCT
ejpam-5567	620	23	e	e	NOUN
ejpam-5567	620	24	)	)	PUNCT
ejpam-5567	620	25	)	)	PUNCT
ejpam-5567	620	26	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	620	27	(	(	PUNCT
ejpam-5567	620	28	f	f	X
ejpam-5567	620	29	,	,	PUNCT
ejpam-5567	620	30	e	e	NOUN
ejpam-5567	620	31	)	)	PUNCT
ejpam-5567	620	32	˜̃∩	˜̃∩	ADV
ejpam-5567	620	33	(	(	PUNCT
ejpam-5567	620	34	˜̃	˜̃	NOUN
ejpam-5567	620	35	x	x	X
ejpam-5567	620	36	−	−	PROPN
ejpam-5567	621	1	(	(	PUNCT
ejpam-5567	621	2	f	f	X
ejpam-5567	621	3	,	,	PUNCT
ejpam-5567	621	4	e	e	NOUN
ejpam-5567	621	5	)	)	PUNCT
ejpam-5567	621	6	)	)	PUNCT
ejpam-5567	621	7	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	621	8	,	,	PUNCT
ejpam-5567	621	9	e	e	NOUN
ejpam-5567	621	10	)	)	PUNCT
ejpam-5567	621	11	.	.	PUNCT
ejpam-5567	622	1	therefore	therefore	ADV
ejpam-5567	622	2	,	,	PUNCT
ejpam-5567	622	3	if	if	SCONJ
ejpam-5567	622	4	(	(	PUNCT
ejpam-5567	622	5	f	f	X
ejpam-5567	622	6	,	,	PUNCT
ejpam-5567	622	7	e	e	NOUN
ejpam-5567	622	8	)	)	PUNCT
ejpam-5567	622	9	⊇	⊇	PROPN
ejpam-5567	622	10	bd	bd	PROPN
ejpam-5567	622	11	(	(	PUNCT
ejpam-5567	622	12	f	f	PROPN
ejpam-5567	622	13	,	,	PUNCT
ejpam-5567	622	14	e	e	NOUN
ejpam-5567	622	15	)	)	PUNCT
ejpam-5567	622	16	.	.	PUNCT
ejpam-5567	623	1	hence	hence	ADV
ejpam-5567	623	2	,	,	PUNCT
ejpam-5567	623	3	(	(	PUNCT
ejpam-5567	623	4	f	f	X
ejpam-5567	623	5	,	,	PUNCT
ejpam-5567	623	6	e	e	NOUN
ejpam-5567	623	7	)	)	PUNCT
ejpam-5567	623	8	is	be	AUX
ejpam-5567	623	9	ternary	ternary	ADJ
ejpam-5567	623	10	soft	soft	ADJ
ejpam-5567	623	11	closed	closed	ADJ
ejpam-5567	623	12	if	if	SCONJ
ejpam-5567	623	13	and	and	CCONJ
ejpam-5567	623	14	only	only	ADV
ejpam-5567	623	15	if	if	SCONJ
ejpam-5567	623	16	(	(	PUNCT
ejpam-5567	623	17	f	f	X
ejpam-5567	623	18	,	,	PUNCT
ejpam-5567	623	19	e	e	NOUN
ejpam-5567	623	20	)	)	PUNCT
ejpam-5567	623	21	⊇	⊇	NOUN
ejpam-5567	623	22	bd(f	bd(f	X
ejpam-5567	623	23	,	,	PUNCT
ejpam-5567	623	24	e	e	NOUN
ejpam-5567	623	25	)	)	PUNCT
ejpam-5567	623	26	.	.	PUNCT
ejpam-5567	624	1	⇒	⇒	NOUN
ejpam-5567	624	2	(	(	PUNCT
ejpam-5567	624	3	1	1	X
ejpam-5567	624	4	)	)	PUNCT
ejpam-5567	624	5	conversely	conversely	ADV
ejpam-5567	624	6	,	,	PUNCT
ejpam-5567	624	7	suppose	suppose	VERB
ejpam-5567	624	8	(	(	PUNCT
ejpam-5567	624	9	f	f	X
ejpam-5567	624	10	,	,	PUNCT
ejpam-5567	624	11	e	e	NOUN
ejpam-5567	624	12	)	)	PUNCT
ejpam-5567	624	13	⊇	⊇	NOUN
ejpam-5567	624	14	bd(f	bd(f	X
ejpam-5567	624	15	,	,	PUNCT
ejpam-5567	624	16	e	e	NOUN
ejpam-5567	624	17	)	)	PUNCT
ejpam-5567	624	18	,	,	PUNCT
ejpam-5567	624	19	i.e.	i.e.	X
ejpam-5567	624	20	,	,	PUNCT
ejpam-5567	624	21	bd	bd	PROPN
ejpam-5567	624	22	(	(	PUNCT
ejpam-5567	624	23	f	f	X
ejpam-5567	624	24	,	,	PUNCT
ejpam-5567	624	25	e	e	NOUN
ejpam-5567	624	26	)	)	PUNCT
ejpam-5567	624	27	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	624	28	(	(	PUNCT
ejpam-5567	624	29	f	f	X
ejpam-5567	624	30	,	,	PUNCT
ejpam-5567	624	31	e	e	NOUN
ejpam-5567	624	32	)	)	PUNCT
ejpam-5567	624	33	,	,	PUNCT
ejpam-5567	624	34	which	which	PRON
ejpam-5567	624	35	implies	imply	VERB
ejpam-5567	624	36	(	(	PUNCT
ejpam-5567	624	37	f	f	X
ejpam-5567	624	38	,	,	PUNCT
ejpam-5567	624	39	e	e	NOUN
ejpam-5567	624	40	)	)	PUNCT
ejpam-5567	624	41	˜̃∪	˜̃∪	PROPN
ejpam-5567	624	42	bd	bd	PROPN
ejpam-5567	624	43	(	(	PUNCT
ejpam-5567	624	44	f	f	PROPN
ejpam-5567	624	45	,	,	PUNCT
ejpam-5567	624	46	e	e	NOUN
ejpam-5567	624	47	)	)	PUNCT
ejpam-5567	624	48	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	624	49	(	(	PUNCT
ejpam-5567	624	50	f	f	X
ejpam-5567	624	51	,	,	PUNCT
ejpam-5567	624	52	e	e	NOUN
ejpam-5567	624	53	)	)	PUNCT
ejpam-5567	624	54	=	=	SYM
ejpam-5567	625	1	(	(	PUNCT
ejpam-5567	625	2	f	f	X
ejpam-5567	625	3	,	,	PUNCT
ejpam-5567	625	4	e	e	NOUN
ejpam-5567	625	5	)	)	PUNCT
ejpam-5567	625	6	.	.	PUNCT
ejpam-5567	626	1	therefore	therefore	ADV
ejpam-5567	626	2	,	,	PUNCT
ejpam-5567	626	3	(	(	PUNCT
ejpam-5567	626	4	f	f	X
ejpam-5567	626	5	,	,	PUNCT
ejpam-5567	626	6	e	e	NOUN
ejpam-5567	626	7	)	)	PUNCT
ejpam-5567	626	8	is	be	AUX
ejpam-5567	626	9	ternary	ternary	ADJ
ejpam-5567	626	10	soft	soft	ADJ
ejpam-5567	626	11	closed	closed	ADJ
ejpam-5567	626	12	.	.	PUNCT
ejpam-5567	627	1	thus	thus	ADV
ejpam-5567	627	2	,	,	PUNCT
ejpam-5567	627	3	(	(	PUNCT
ejpam-5567	627	4	f	f	X
ejpam-5567	627	5	,	,	PUNCT
ejpam-5567	627	6	e	e	NOUN
ejpam-5567	627	7	)	)	PUNCT
ejpam-5567	627	8	⊇	⊇	PROPN
ejpam-5567	627	9	bd	bd	PROPN
ejpam-5567	627	10	(	(	PUNCT
ejpam-5567	627	11	f	f	PROPN
ejpam-5567	627	12	,	,	PUNCT
ejpam-5567	627	13	e	e	NOUN
ejpam-5567	627	14	)	)	PUNCT
ejpam-5567	627	15	implies	imply	VERB
ejpam-5567	627	16	(	(	PUNCT
ejpam-5567	627	17	f	f	X
ejpam-5567	627	18	,	,	PUNCT
ejpam-5567	627	19	e	e	NOUN
ejpam-5567	627	20	)	)	PUNCT
ejpam-5567	627	21	is	be	AUX
ejpam-5567	627	22	ternary	ternary	ADJ
ejpam-5567	627	23	soft	soft	ADJ
ejpam-5567	627	24	closed	closed	ADJ
ejpam-5567	627	25	.	.	PUNCT
ejpam-5567	628	1	⇒	⇒	NOUN
ejpam-5567	628	2	(	(	PUNCT
ejpam-5567	628	3	2	2	NUM
ejpam-5567	628	4	)	)	PUNCT
ejpam-5567	628	5	from	from	ADP
ejpam-5567	628	6	(	(	PUNCT
ejpam-5567	628	7	1	1	NUM
ejpam-5567	628	8	)	)	PUNCT
ejpam-5567	628	9	and	and	CCONJ
ejpam-5567	628	10	(	(	PUNCT
ejpam-5567	628	11	2	2	NUM
ejpam-5567	628	12	)	)	PUNCT
ejpam-5567	628	13	,	,	PUNCT
ejpam-5567	628	14	it	it	PRON
ejpam-5567	628	15	is	be	AUX
ejpam-5567	628	16	clear	clear	ADJ
ejpam-5567	628	17	that	that	SCONJ
ejpam-5567	628	18	(	(	PUNCT
ejpam-5567	628	19	f	f	X
ejpam-5567	628	20	,	,	PUNCT
ejpam-5567	628	21	e	e	NOUN
ejpam-5567	628	22	)	)	PUNCT
ejpam-5567	628	23	is	be	AUX
ejpam-5567	628	24	ternary	ternary	ADJ
ejpam-5567	628	25	soft	soft	ADJ
ejpam-5567	628	26	closed	closed	ADJ
ejpam-5567	628	27	if	if	SCONJ
ejpam-5567	628	28	and	and	CCONJ
ejpam-5567	628	29	only	only	ADV
ejpam-5567	628	30	if	if	SCONJ
ejpam-5567	628	31	(	(	PUNCT
ejpam-5567	628	32	f	f	X
ejpam-5567	628	33	,	,	PUNCT
ejpam-5567	628	34	e	e	NOUN
ejpam-5567	628	35	)	)	PUNCT
ejpam-5567	628	36	⊇	⊇	PROPN
ejpam-5567	628	37	bd	bd	PROPN
ejpam-5567	628	38	(	(	PUNCT
ejpam-5567	628	39	f	f	PROPN
ejpam-5567	628	40	,	,	PUNCT
ejpam-5567	628	41	e	e	NOUN
ejpam-5567	628	42	)	)	PUNCT
ejpam-5567	628	43	.	.	PUNCT
ejpam-5567	629	1	theorem	theorem	NOUN
ejpam-5567	629	2	11	11	NUM
ejpam-5567	629	3	.	.	PUNCT
ejpam-5567	630	1	let	let	AUX
ejpam-5567	630	2	(	(	PUNCT
ejpam-5567	630	3	u1	u1	NOUN
ejpam-5567	630	4	,	,	PUNCT
ejpam-5567	630	5	u2	u2	NOUN
ejpam-5567	630	6	,	,	PUNCT
ejpam-5567	630	7	u3	u3	NOUN
ejpam-5567	630	8	,	,	PUNCT
ejpam-5567	630	9	τ∆	τ∆	NOUN
ejpam-5567	630	10	,	,	PUNCT
ejpam-5567	630	11	e	e	X
ejpam-5567	630	12	)	)	PUNCT
ejpam-5567	630	13	be	be	VERB
ejpam-5567	630	14	the	the	DET
ejpam-5567	630	15	ternary	ternary	ADJ
ejpam-5567	630	16	soft	soft	ADJ
ejpam-5567	630	17	topological	topological	ADJ
ejpam-5567	630	18	space	space	NOUN
ejpam-5567	630	19	.	.	PUNCT
ejpam-5567	631	1	let	let	VERB
ejpam-5567	631	2	(	(	PUNCT
ejpam-5567	631	3	f	f	X
ejpam-5567	631	4	,	,	PUNCT
ejpam-5567	631	5	e	e	NOUN
ejpam-5567	631	6	)	)	PUNCT
ejpam-5567	631	7	be	be	VERB
ejpam-5567	631	8	any	any	DET
ejpam-5567	631	9	ternary	ternary	ADJ
ejpam-5567	631	10	soft	soft	ADJ
ejpam-5567	631	11	subset	subset	NOUN
ejpam-5567	631	12	of	of	ADP
ejpam-5567	631	13	u1	u1	NOUN
ejpam-5567	631	14	,	,	PUNCT
ejpam-5567	631	15	u2	u2	NOUN
ejpam-5567	631	16	,	,	PUNCT
ejpam-5567	631	17	u3	u3	NOUN
ejpam-5567	631	18	.	.	PUNCT
ejpam-5567	632	1	then	then	ADV
ejpam-5567	632	2	(	(	PUNCT
ejpam-5567	632	3	f	f	X
ejpam-5567	632	4	,	,	PUNCT
ejpam-5567	632	5	e	e	NOUN
ejpam-5567	632	6	)	)	PUNCT
ejpam-5567	632	7	is	be	AUX
ejpam-5567	632	8	ternary	ternary	ADJ
ejpam-5567	632	9	soft	soft	ADJ
ejpam-5567	632	10	open	open	ADJ
ejpam-5567	632	11	if	if	SCONJ
ejpam-5567	632	12	and	and	CCONJ
ejpam-5567	632	13	only	only	ADV
ejpam-5567	632	14	if	if	SCONJ
ejpam-5567	632	15	(	(	PUNCT
ejpam-5567	632	16	f	f	X
ejpam-5567	632	17	,	,	PUNCT
ejpam-5567	632	18	e	e	NOUN
ejpam-5567	632	19	)	)	PUNCT
ejpam-5567	632	20	˜̃∩	˜̃∩	ADP
ejpam-5567	632	21	bd	bd	PROPN
ejpam-5567	632	22	(	(	PUNCT
ejpam-5567	632	23	f	f	PROPN
ejpam-5567	632	24	,	,	PUNCT
ejpam-5567	632	25	e	e	NOUN
ejpam-5567	632	26	)	)	PUNCT
ejpam-5567	632	27	˜̃=	˜̃=	PROPN
ejpam-5567	632	28	˜̃∅	˜̃∅	ADJ
ejpam-5567	632	29	m.	m.	NOUN
ejpam-5567	632	30	nawaz	nawaz	NOUN
ejpam-5567	632	31	et	et	PROPN
ejpam-5567	632	32	al	al	PROPN
ejpam-5567	632	33	.	.	PUNCT
ejpam-5567	632	34	/	/	SYM
ejpam-5567	632	35	eur	eur	PROPN
ejpam-5567	632	36	.	.	PUNCT
ejpam-5567	633	1	j.	j.	PROPN
ejpam-5567	633	2	pure	pure	PROPN
ejpam-5567	633	3	appl	appl	PROPN
ejpam-5567	633	4	.	.	PROPN
ejpam-5567	633	5	math	math	PROPN
ejpam-5567	633	6	,	,	PUNCT
ejpam-5567	633	7	18	18	NUM
ejpam-5567	633	8	(	(	PUNCT
ejpam-5567	633	9	1	1	NUM
ejpam-5567	633	10	)	)	PUNCT
ejpam-5567	633	11	(	(	PUNCT
ejpam-5567	633	12	2025	2025	NUM
ejpam-5567	633	13	)	)	PUNCT
ejpam-5567	633	14	,	,	PUNCT
ejpam-5567	633	15	5567	5567	NUM
ejpam-5567	633	16	27	27	NUM
ejpam-5567	633	17	of	of	ADP
ejpam-5567	633	18	45	45	NUM
ejpam-5567	633	19	proof	proof	NOUN
ejpam-5567	633	20	.	.	PUNCT
ejpam-5567	634	1	suppose	suppose	VERB
ejpam-5567	634	2	(	(	PUNCT
ejpam-5567	634	3	f	f	X
ejpam-5567	634	4	,	,	PUNCT
ejpam-5567	634	5	e	e	NOUN
ejpam-5567	634	6	)	)	PUNCT
ejpam-5567	634	7	is	be	AUX
ejpam-5567	634	8	ternary	ternary	ADJ
ejpam-5567	634	9	soft	soft	ADJ
ejpam-5567	634	10	open	open	NOUN
ejpam-5567	634	11	,	,	PUNCT
ejpam-5567	634	12	which	which	PRON
ejpam-5567	634	13	implies	imply	VERB
ejpam-5567	634	14	that	that	SCONJ
ejpam-5567	634	15	[	[	PUNCT
ejpam-5567	634	16	˜̃	˜̃	NOUN
ejpam-5567	634	17	x−	x−	PROPN
ejpam-5567	634	18	(	(	PUNCT
ejpam-5567	634	19	f	f	X
ejpam-5567	634	20	,	,	PUNCT
ejpam-5567	634	21	e	e	NOUN
ejpam-5567	634	22	)	)	PUNCT
ejpam-5567	634	23	]	]	PUNCT
ejpam-5567	634	24	is	be	AUX
ejpam-5567	634	25	ternary	ternary	ADJ
ejpam-5567	634	26	soft	soft	ADJ
ejpam-5567	634	27	closed	closed	ADJ
ejpam-5567	634	28	.	.	PUNCT
ejpam-5567	635	1	then	then	ADV
ejpam-5567	635	2	,	,	PUNCT
ejpam-5567	635	3	[	[	PUNCT
ejpam-5567	635	4	˜̃	˜̃	NOUN
ejpam-5567	635	5	x	x	X
ejpam-5567	635	6	−	−	PROPN
ejpam-5567	635	7	(	(	PUNCT
ejpam-5567	635	8	f	f	X
ejpam-5567	635	9	,	,	PUNCT
ejpam-5567	635	10	e	e	NOUN
ejpam-5567	635	11	)	)	PUNCT
ejpam-5567	635	12	]	]	PUNCT
ejpam-5567	636	1	˜̃=	˜̃=	PROPN
ejpam-5567	636	2	[	[	PUNCT
ejpam-5567	636	3	˜̃	˜̃	NOUN
ejpam-5567	636	4	x	x	X
ejpam-5567	636	5	−	−	PROPN
ejpam-5567	636	6	(	(	PUNCT
ejpam-5567	636	7	f	f	X
ejpam-5567	636	8	,	,	PUNCT
ejpam-5567	636	9	e	e	NOUN
ejpam-5567	636	10	)	)	PUNCT
ejpam-5567	636	11	]	]	PUNCT
ejpam-5567	636	12	.	.	PUNCT
ejpam-5567	637	1	now	now	ADV
ejpam-5567	637	2	consider	consider	VERB
ejpam-5567	637	3	(	(	PUNCT
ejpam-5567	637	4	f	f	X
ejpam-5567	637	5	,	,	PUNCT
ejpam-5567	637	6	e)˜̃∩bd	e)˜̃∩bd	PUNCT
ejpam-5567	637	7	(	(	PUNCT
ejpam-5567	637	8	f	f	X
ejpam-5567	637	9	,	,	PUNCT
ejpam-5567	637	10	e	e	NOUN
ejpam-5567	637	11	)	)	PUNCT
ejpam-5567	637	12	.	.	PUNCT
ejpam-5567	638	1	we	we	PRON
ejpam-5567	638	2	have	have	VERB
ejpam-5567	638	3	(	(	PUNCT
ejpam-5567	638	4	f	f	X
ejpam-5567	638	5	,	,	PUNCT
ejpam-5567	638	6	e)˜̃∩	e)˜̃∩	X
ejpam-5567	638	7	[	[	PUNCT
ejpam-5567	638	8	(	(	PUNCT
ejpam-5567	638	9	f	f	X
ejpam-5567	638	10	,	,	PUNCT
ejpam-5567	638	11	e	e	NOUN
ejpam-5567	638	12	)	)	PUNCT
ejpam-5567	638	13	˜̃∩	˜̃∩	ADV
ejpam-5567	638	14	(	(	PUNCT
ejpam-5567	638	15	˜̃	˜̃	NOUN
ejpam-5567	638	16	x	x	X
ejpam-5567	638	17	−	−	PROPN
ejpam-5567	638	18	(	(	PUNCT
ejpam-5567	638	19	f	f	X
ejpam-5567	638	20	,	,	PUNCT
ejpam-5567	638	21	e	e	NOUN
ejpam-5567	638	22	)	)	PUNCT
ejpam-5567	638	23	)	)	PUNCT
ejpam-5567	638	24	]	]	PUNCT
ejpam-5567	639	1	=	=	PUNCT
ejpam-5567	639	2	(	(	PUNCT
ejpam-5567	639	3	f	f	X
ejpam-5567	639	4	,	,	PUNCT
ejpam-5567	639	5	e	e	NOUN
ejpam-5567	639	6	)	)	PUNCT
ejpam-5567	639	7	˜̃∩	˜̃∩	ADV
ejpam-5567	639	8	[	[	PUNCT
ejpam-5567	639	9	(	(	PUNCT
ejpam-5567	639	10	˜̃	˜̃	NOUN
ejpam-5567	639	11	x	x	X
ejpam-5567	639	12	−	−	PROPN
ejpam-5567	639	13	(	(	PUNCT
ejpam-5567	639	14	f	f	X
ejpam-5567	639	15	,	,	PUNCT
ejpam-5567	639	16	e	e	NOUN
ejpam-5567	639	17	)	)	PUNCT
ejpam-5567	639	18	)	)	PUNCT
ejpam-5567	639	19	˜̃∩	˜̃∩	ADV
ejpam-5567	639	20	(	(	PUNCT
ejpam-5567	639	21	f	f	X
ejpam-5567	639	22	,	,	PUNCT
ejpam-5567	639	23	e	e	NOUN
ejpam-5567	639	24	)	)	PUNCT
ejpam-5567	639	25	]	]	PUNCT
ejpam-5567	640	1	=	=	PUNCT
ejpam-5567	640	2	˜̃∅.	˜̃∅.	PROPN
ejpam-5567	640	3	therefore	therefore	ADV
ejpam-5567	640	4	,	,	PUNCT
ejpam-5567	640	5	(	(	PUNCT
ejpam-5567	640	6	f	f	X
ejpam-5567	640	7	,	,	PUNCT
ejpam-5567	640	8	e)˜̃∩bd	e)˜̃∩bd	PUNCT
ejpam-5567	640	9	(	(	PUNCT
ejpam-5567	640	10	f	f	X
ejpam-5567	640	11	,	,	PUNCT
ejpam-5567	640	12	e	e	NOUN
ejpam-5567	640	13	)	)	PUNCT
ejpam-5567	640	14	˜̃=˜̃∅.	˜̃=˜̃∅.	NOUN
ejpam-5567	640	15	hence	hence	ADV
ejpam-5567	640	16	,	,	PUNCT
ejpam-5567	640	17	if	if	SCONJ
ejpam-5567	640	18	(	(	PUNCT
ejpam-5567	640	19	f	f	X
ejpam-5567	640	20	,	,	PUNCT
ejpam-5567	640	21	e	e	NOUN
ejpam-5567	640	22	)	)	PUNCT
ejpam-5567	640	23	is	be	AUX
ejpam-5567	640	24	open	open	ADJ
ejpam-5567	640	25	,	,	PUNCT
ejpam-5567	640	26	it	it	PRON
ejpam-5567	640	27	implies	imply	VERB
ejpam-5567	640	28	that	that	SCONJ
ejpam-5567	640	29	(	(	PUNCT
ejpam-5567	640	30	f	f	X
ejpam-5567	640	31	,	,	PUNCT
ejpam-5567	640	32	e)˜̃∩bd	e)˜̃∩bd	PUNCT
ejpam-5567	640	33	(	(	PUNCT
ejpam-5567	640	34	f	f	X
ejpam-5567	640	35	,	,	PUNCT
ejpam-5567	640	36	e	e	NOUN
ejpam-5567	640	37	)	)	PUNCT
ejpam-5567	640	38	˜̃=˜̃∅.	˜̃=˜̃∅.	PROPN
ejpam-5567	640	39	⇒	⇒	NOUN
ejpam-5567	640	40	(	(	PUNCT
ejpam-5567	640	41	1	1	X
ejpam-5567	640	42	)	)	PUNCT
ejpam-5567	640	43	conversely	conversely	ADV
ejpam-5567	640	44	,	,	PUNCT
ejpam-5567	640	45	suppose	suppose	VERB
ejpam-5567	640	46	(	(	PUNCT
ejpam-5567	640	47	f	f	X
ejpam-5567	640	48	,	,	PUNCT
ejpam-5567	640	49	e)˜̃∩bd	e)˜̃∩bd	PUNCT
ejpam-5567	640	50	(	(	PUNCT
ejpam-5567	640	51	f	f	X
ejpam-5567	640	52	,	,	PUNCT
ejpam-5567	640	53	e	e	NOUN
ejpam-5567	640	54	)	)	PUNCT
ejpam-5567	640	55	˜̃=	˜̃=	PROPN
ejpam-5567	640	56	˜̃∅.	˜̃∅.	NOUN
ejpam-5567	640	57	then	then	ADV
ejpam-5567	640	58	,	,	PUNCT
ejpam-5567	640	59	(	(	PUNCT
ejpam-5567	640	60	f	f	X
ejpam-5567	640	61	,	,	PUNCT
ejpam-5567	640	62	e	e	NOUN
ejpam-5567	640	63	)	)	PUNCT
ejpam-5567	640	64	˜̃∩	˜̃∩	ADV
ejpam-5567	640	65	[	[	PUNCT
ejpam-5567	640	66	(	(	PUNCT
ejpam-5567	640	67	f	f	X
ejpam-5567	640	68	,	,	PUNCT
ejpam-5567	640	69	e	e	NOUN
ejpam-5567	640	70	)	)	PUNCT
ejpam-5567	640	71	˜̃∩	˜̃∩	ADV
ejpam-5567	640	72	(	(	PUNCT
ejpam-5567	640	73	˜̃	˜̃	NOUN
ejpam-5567	640	74	x	x	X
ejpam-5567	640	75	−	−	PROPN
ejpam-5567	640	76	(	(	PUNCT
ejpam-5567	640	77	f	f	X
ejpam-5567	640	78	,	,	PUNCT
ejpam-5567	640	79	e	e	NOUN
ejpam-5567	640	80	)	)	PUNCT
ejpam-5567	640	81	)	)	PUNCT
ejpam-5567	640	82	]	]	PUNCT
ejpam-5567	641	1	˜̃=	˜̃=	PROPN
ejpam-5567	641	2	˜̃∅	˜̃∅	NOUN
ejpam-5567	641	3	,	,	PUNCT
ejpam-5567	641	4	which	which	PRON
ejpam-5567	641	5	implies	imply	VERB
ejpam-5567	641	6	(	(	PUNCT
ejpam-5567	641	7	f	f	X
ejpam-5567	641	8	,	,	PUNCT
ejpam-5567	641	9	e	e	NOUN
ejpam-5567	641	10	)	)	PUNCT
ejpam-5567	641	11	˜̃∩	˜̃∩	ADV
ejpam-5567	641	12	(	(	PUNCT
ejpam-5567	641	13	f	f	X
ejpam-5567	641	14	,	,	PUNCT
ejpam-5567	641	15	e)˜̃∩	e)˜̃∩	X
ejpam-5567	641	16	[	[	PUNCT
ejpam-5567	641	17	˜̃	˜̃	NOUN
ejpam-5567	641	18	x	x	X
ejpam-5567	641	19	−	−	PROPN
ejpam-5567	641	20	(	(	PUNCT
ejpam-5567	641	21	f	f	X
ejpam-5567	641	22	,	,	PUNCT
ejpam-5567	641	23	e	e	NOUN
ejpam-5567	641	24	)	)	PUNCT
ejpam-5567	641	25	]	]	PUNCT
ejpam-5567	642	1	˜̃=	˜̃=	PROPN
ejpam-5567	642	2	˜̃∅	˜̃∅	NOUN
ejpam-5567	642	3	thus	thus	ADV
ejpam-5567	642	4	,	,	PUNCT
ejpam-5567	642	5	we	we	PRON
ejpam-5567	642	6	have	have	VERB
ejpam-5567	642	7	(	(	PUNCT
ejpam-5567	642	8	f	f	X
ejpam-5567	642	9	,	,	PUNCT
ejpam-5567	642	10	e)˜̃∩	e)˜̃∩	X
ejpam-5567	642	11	[	[	PUNCT
ejpam-5567	642	12	˜̃	˜̃	NOUN
ejpam-5567	642	13	x	x	X
ejpam-5567	642	14	−	−	PROPN
ejpam-5567	643	1	(	(	PUNCT
ejpam-5567	644	1	f	f	X
ejpam-5567	644	2	,	,	PUNCT
ejpam-5567	644	3	e	e	NOUN
ejpam-5567	644	4	)	)	PUNCT
ejpam-5567	644	5	]	]	PUNCT
ejpam-5567	644	6	˜̃=	˜̃=	PROPN
ejpam-5567	644	7	˜̃∅	˜̃∅	NOUN
ejpam-5567	644	8	,	,	PUNCT
ejpam-5567	644	9	which	which	PRON
ejpam-5567	644	10	implies	imply	VERB
ejpam-5567	644	11	(	(	PUNCT
ejpam-5567	644	12	f	f	X
ejpam-5567	644	13	,	,	PUNCT
ejpam-5567	644	14	e	e	NOUN
ejpam-5567	644	15	)	)	PUNCT
ejpam-5567	644	16	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	644	17	˜̃	˜̃	NOUN
ejpam-5567	644	18	x	x	X
ejpam-5567	644	19	−	−	X
ejpam-5567	644	20	[	[	PUNCT
ejpam-5567	644	21	˜̃	˜̃	NOUN
ejpam-5567	644	22	x	x	X
ejpam-5567	644	23	−	−	PROPN
ejpam-5567	644	24	(	(	PUNCT
ejpam-5567	644	25	f	f	X
ejpam-5567	644	26	,	,	PUNCT
ejpam-5567	644	27	e	e	NOUN
ejpam-5567	644	28	)	)	PUNCT
ejpam-5567	644	29	]	]	PUNCT
ejpam-5567	645	1	˜̃=	˜̃=	PROPN
ejpam-5567	645	2	˜̃∅.	˜̃∅.	NOUN
ejpam-5567	645	3	this	this	PRON
ejpam-5567	645	4	leads	lead	VERB
ejpam-5567	645	5	to	to	ADP
ejpam-5567	645	6	(	(	PUNCT
ejpam-5567	645	7	f	f	X
ejpam-5567	645	8	,	,	PUNCT
ejpam-5567	645	9	e	e	NOUN
ejpam-5567	645	10	)	)	PUNCT
ejpam-5567	645	11	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	645	12	˜̃	˜̃	NOUN
ejpam-5567	645	13	x	x	X
ejpam-5567	645	14	−	−	PROPN
ejpam-5567	646	1	[	[	X
ejpam-5567	646	2	(	(	PUNCT
ejpam-5567	646	3	˜̃	˜̃	NOUN
ejpam-5567	646	4	x	x	X
ejpam-5567	646	5	−	−	PROPN
ejpam-5567	646	6	(	(	PUNCT
ejpam-5567	646	7	f	f	X
ejpam-5567	646	8	,	,	PUNCT
ejpam-5567	646	9	e	e	NOUN
ejpam-5567	646	10	)	)	PUNCT
ejpam-5567	646	11	)	)	PUNCT
ejpam-5567	647	1	◦	◦	NOUN
ejpam-5567	647	2	]	]	PUNCT
ejpam-5567	647	3	,	,	PUNCT
ejpam-5567	647	4	which	which	PRON
ejpam-5567	647	5	implies	imply	VERB
ejpam-5567	647	6	(	(	PUNCT
ejpam-5567	647	7	f	f	X
ejpam-5567	647	8	,	,	PUNCT
ejpam-5567	647	9	e	e	NOUN
ejpam-5567	647	10	)	)	PUNCT
ejpam-5567	648	1	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	648	2	(	(	PUNCT
ejpam-5567	648	3	f	f	X
ejpam-5567	648	4	,	,	PUNCT
ejpam-5567	648	5	e)	e)	PROPN
ejpam-5567	648	6	◦	◦	NOUN
ejpam-5567	648	7	.	.	PUNCT
ejpam-5567	649	1	since	since	SCONJ
ejpam-5567	649	2	(	(	PUNCT
ejpam-5567	649	3	f	f	X
ejpam-5567	649	4	,	,	PUNCT
ejpam-5567	649	5	e	e	NOUN
ejpam-5567	649	6	)	)	PUNCT
ejpam-5567	649	7	◦	◦	NOUN
ejpam-5567	649	8	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	649	9	(	(	PUNCT
ejpam-5567	649	10	f	f	X
ejpam-5567	649	11	,	,	PUNCT
ejpam-5567	649	12	e	e	NOUN
ejpam-5567	649	13	)	)	PUNCT
ejpam-5567	649	14	is	be	AUX
ejpam-5567	649	15	always	always	ADV
ejpam-5567	649	16	true	true	ADJ
ejpam-5567	649	17	,	,	PUNCT
ejpam-5567	649	18	it	it	PRON
ejpam-5567	649	19	follows	follow	VERB
ejpam-5567	649	20	that	that	SCONJ
ejpam-5567	649	21	(	(	PUNCT
ejpam-5567	649	22	f	f	X
ejpam-5567	649	23	,	,	PUNCT
ejpam-5567	649	24	e	e	NOUN
ejpam-5567	649	25	)	)	PUNCT
ejpam-5567	649	26	=	=	SYM
ejpam-5567	649	27	(	(	PUNCT
ejpam-5567	649	28	f	f	X
ejpam-5567	649	29	,	,	PUNCT
ejpam-5567	649	30	e)	e)	PROPN
ejpam-5567	649	31	◦	◦	NOUN
ejpam-5567	649	32	.	.	PUNCT
ejpam-5567	650	1	therefore	therefore	ADV
ejpam-5567	650	2	,	,	PUNCT
ejpam-5567	650	3	(	(	PUNCT
ejpam-5567	650	4	f	f	X
ejpam-5567	650	5	,	,	PUNCT
ejpam-5567	650	6	e)˜̃∩bd(f	e)˜̃∩bd(f	NOUN
ejpam-5567	650	7	,	,	PUNCT
ejpam-5567	650	8	e	e	NOUN
ejpam-5567	650	9	)	)	PUNCT
ejpam-5567	650	10	˜̃=˜̃∅	˜̃=˜̃∅	NOUN
ejpam-5567	650	11	implies	imply	VERB
ejpam-5567	650	12	that	that	SCONJ
ejpam-5567	650	13	(	(	PUNCT
ejpam-5567	650	14	f	f	X
ejpam-5567	650	15	,	,	PUNCT
ejpam-5567	650	16	e	e	NOUN
ejpam-5567	650	17	)	)	PUNCT
ejpam-5567	650	18	is	be	AUX
ejpam-5567	650	19	ternary	ternary	ADJ
ejpam-5567	650	20	soft	soft	ADJ
ejpam-5567	650	21	open	open	NOUN
ejpam-5567	650	22	.	.	PUNCT
ejpam-5567	651	1	from	from	ADP
ejpam-5567	651	2	(	(	PUNCT
ejpam-5567	651	3	i	i	NOUN
ejpam-5567	651	4	)	)	PUNCT
ejpam-5567	651	5	and	and	CCONJ
ejpam-5567	651	6	(	(	PUNCT
ejpam-5567	651	7	ii	ii	NOUN
ejpam-5567	651	8	)	)	PUNCT
ejpam-5567	651	9	,	,	PUNCT
ejpam-5567	651	10	we	we	PRON
ejpam-5567	651	11	conclude	conclude	VERB
ejpam-5567	651	12	that	that	PRON
ejpam-5567	651	13	(	(	PUNCT
ejpam-5567	651	14	f	f	X
ejpam-5567	651	15	,	,	PUNCT
ejpam-5567	651	16	e	e	NOUN
ejpam-5567	651	17	)	)	PUNCT
ejpam-5567	651	18	is	be	AUX
ejpam-5567	651	19	ternary	ternary	ADJ
ejpam-5567	651	20	soft	soft	ADJ
ejpam-5567	651	21	open	open	ADJ
ejpam-5567	651	22	if	if	SCONJ
ejpam-5567	651	23	and	and	CCONJ
ejpam-5567	651	24	only	only	ADV
ejpam-5567	651	25	if	if	SCONJ
ejpam-5567	651	26	(	(	PUNCT
ejpam-5567	651	27	f	f	X
ejpam-5567	651	28	,	,	PUNCT
ejpam-5567	651	29	e	e	NOUN
ejpam-5567	651	30	)	)	PUNCT
ejpam-5567	651	31	˜̃∩	˜̃∩	ADP
ejpam-5567	651	32	bd	bd	PROPN
ejpam-5567	651	33	(	(	PUNCT
ejpam-5567	651	34	f	f	PROPN
ejpam-5567	651	35	,	,	PUNCT
ejpam-5567	651	36	e	e	NOUN
ejpam-5567	651	37	)	)	PUNCT
ejpam-5567	651	38	˜̃=	˜̃=	PROPN
ejpam-5567	651	39	˜̃∅.	˜̃∅.	PROPN
ejpam-5567	651	40	7	7	NUM
ejpam-5567	651	41	.	.	PUNCT
ejpam-5567	651	42	comparative	comparative	ADJ
ejpam-5567	651	43	analysis	analysis	NOUN
ejpam-5567	651	44	the	the	DET
ejpam-5567	651	45	following	follow	VERB
ejpam-5567	651	46	table	table	NOUN
ejpam-5567	651	47	1	1	NUM
ejpam-5567	651	48	provides	provide	VERB
ejpam-5567	651	49	a	a	DET
ejpam-5567	651	50	detailed	detailed	ADJ
ejpam-5567	651	51	comparative	comparative	ADJ
ejpam-5567	651	52	analysis	analysis	NOUN
ejpam-5567	651	53	of	of	ADP
ejpam-5567	651	54	the	the	DET
ejpam-5567	651	55	proposed	propose	VERB
ejpam-5567	651	56	methods	method	NOUN
ejpam-5567	651	57	,	,	PUNCT
ejpam-5567	651	58	contrasting	contrast	VERB
ejpam-5567	651	59	them	they	PRON
ejpam-5567	651	60	with	with	ADP
ejpam-5567	651	61	the	the	DET
ejpam-5567	651	62	established	establish	VERB
ejpam-5567	651	63	techniques	technique	NOUN
ejpam-5567	651	64	discussed	discuss	VERB
ejpam-5567	651	65	in	in	ADP
ejpam-5567	651	66	[	[	X
ejpam-5567	651	67	8	8	NUM
ejpam-5567	651	68	]	]	PUNCT
ejpam-5567	651	69	.	.	PUNCT
ejpam-5567	652	1	this	this	DET
ejpam-5567	652	2	comparison	comparison	NOUN
ejpam-5567	652	3	highlights	highlight	VERB
ejpam-5567	652	4	the	the	DET
ejpam-5567	652	5	strengths	strength	NOUN
ejpam-5567	652	6	and	and	CCONJ
ejpam-5567	652	7	weaknesses	weakness	NOUN
ejpam-5567	652	8	of	of	ADP
ejpam-5567	652	9	each	each	DET
ejpam-5567	652	10	approach	approach	NOUN
ejpam-5567	652	11	,	,	PUNCT
ejpam-5567	652	12	offering	offer	VERB
ejpam-5567	652	13	insights	insight	NOUN
ejpam-5567	652	14	into	into	ADP
ejpam-5567	652	15	how	how	SCONJ
ejpam-5567	652	16	the	the	DET
ejpam-5567	652	17	proposed	propose	VERB
ejpam-5567	652	18	methods	method	NOUN
ejpam-5567	652	19	perform	perform	VERB
ejpam-5567	652	20	relative	relative	ADJ
ejpam-5567	652	21	to	to	ADP
ejpam-5567	652	22	the	the	DET
ejpam-5567	652	23	established	establish	VERB
ejpam-5567	652	24	techniques	technique	NOUN
ejpam-5567	652	25	across	across	ADP
ejpam-5567	652	26	various	various	ADJ
ejpam-5567	652	27	key	key	ADJ
ejpam-5567	652	28	factors	factor	NOUN
ejpam-5567	652	29	:	:	PUNCT
ejpam-5567	653	1	m.	m.	NOUN
ejpam-5567	653	2	nawaz	nawaz	NOUN
ejpam-5567	653	3	et	et	PROPN
ejpam-5567	653	4	al	al	PROPN
ejpam-5567	653	5	.	.	PUNCT
ejpam-5567	653	6	/	/	SYM
ejpam-5567	653	7	eur	eur	PROPN
ejpam-5567	653	8	.	.	PUNCT
ejpam-5567	654	1	j.	j.	PROPN
ejpam-5567	654	2	pure	pure	PROPN
ejpam-5567	654	3	appl	appl	PROPN
ejpam-5567	654	4	.	.	PROPN
ejpam-5567	654	5	math	math	PROPN
ejpam-5567	654	6	,	,	PUNCT
ejpam-5567	654	7	18	18	NUM
ejpam-5567	654	8	(	(	PUNCT
ejpam-5567	654	9	1	1	NUM
ejpam-5567	654	10	)	)	PUNCT
ejpam-5567	654	11	(	(	PUNCT
ejpam-5567	654	12	2025	2025	NUM
ejpam-5567	654	13	)	)	PUNCT
ejpam-5567	654	14	,	,	PUNCT
ejpam-5567	654	15	5567	5567	NUM
ejpam-5567	654	16	28	28	NUM
ejpam-5567	654	17	of	of	ADP
ejpam-5567	654	18	45	45	NUM
ejpam-5567	654	19	factor	factor	NOUN
ejpam-5567	654	20	binary	binary	NOUN
ejpam-5567	654	21	soft	soft	ADJ
ejpam-5567	654	22	sets	set	NOUN
ejpam-5567	654	23	and	and	CCONJ
ejpam-5567	654	24	binary	binary	ADJ
ejpam-5567	654	25	soft	soft	ADJ
ejpam-5567	654	26	topological	topological	ADJ
ejpam-5567	654	27	spaces	space	NOUN
ejpam-5567	654	28	(	(	PUNCT
ejpam-5567	654	29	published	publish	VERB
ejpam-5567	654	30	work	work	NOUN
ejpam-5567	654	31	)	)	PUNCT
ejpam-5567	655	1	[	[	X
ejpam-5567	655	2	8	8	NUM
ejpam-5567	655	3	]	]	X
ejpam-5567	655	4	ternary	ternary	ADJ
ejpam-5567	655	5	soft	soft	ADJ
ejpam-5567	655	6	sets	set	NOUN
ejpam-5567	655	7	and	and	CCONJ
ejpam-5567	655	8	ternary	ternary	ADJ
ejpam-5567	655	9	soft	soft	ADJ
ejpam-5567	655	10	topological	topological	ADJ
ejpam-5567	655	11	spaces	space	NOUN
ejpam-5567	655	12	(	(	PUNCT
ejpam-5567	655	13	proposed	propose	VERB
ejpam-5567	655	14	method	method	NOUN
ejpam-5567	655	15	)	)	PUNCT
ejpam-5567	655	16	core	core	NOUN
ejpam-5567	655	17	concept	concept	NOUN
ejpam-5567	655	18	focuses	focus	VERB
ejpam-5567	655	19	on	on	ADP
ejpam-5567	655	20	binary	binary	ADJ
ejpam-5567	655	21	soft	soft	ADJ
ejpam-5567	655	22	sets	set	NOUN
ejpam-5567	655	23	,	,	PUNCT
ejpam-5567	655	24	which	which	PRON
ejpam-5567	655	25	are	be	AUX
ejpam-5567	655	26	defined	define	VERB
ejpam-5567	655	27	over	over	ADP
ejpam-5567	655	28	two	two	NUM
ejpam-5567	655	29	universal	universal	ADJ
ejpam-5567	655	30	sets	set	NOUN
ejpam-5567	655	31	and	and	CCONJ
ejpam-5567	655	32	a	a	DET
ejpam-5567	655	33	parameter	parameter	NOUN
ejpam-5567	655	34	set	set	NOUN
ejpam-5567	655	35	(	(	PUNCT
ejpam-5567	655	36	set	set	VERB
ejpam-5567	655	37	of	of	ADP
ejpam-5567	655	38	decision	decision	NOUN
ejpam-5567	655	39	variables	variable	NOUN
ejpam-5567	655	40	)	)	PUNCT
ejpam-5567	655	41	.	.	PUNCT
ejpam-5567	656	1	the	the	DET
ejpam-5567	656	2	core	core	NOUN
ejpam-5567	656	3	idea	idea	NOUN
ejpam-5567	656	4	is	be	AUX
ejpam-5567	656	5	to	to	PART
ejpam-5567	656	6	work	work	VERB
ejpam-5567	656	7	with	with	ADP
ejpam-5567	656	8	two	two	NUM
ejpam-5567	656	9	sets	set	NOUN
ejpam-5567	656	10	and	and	CCONJ
ejpam-5567	656	11	a	a	DET
ejpam-5567	656	12	parameter	parameter	NOUN
ejpam-5567	656	13	set	set	VERB
ejpam-5567	656	14	to	to	PART
ejpam-5567	656	15	represent	represent	VERB
ejpam-5567	656	16	uncertainty	uncertainty	NOUN
ejpam-5567	656	17	or	or	CCONJ
ejpam-5567	656	18	imprecision	imprecision	NOUN
ejpam-5567	656	19	.	.	PUNCT
ejpam-5567	657	1	explores	explore	VERB
ejpam-5567	657	2	the	the	DET
ejpam-5567	657	3	extension	extension	NOUN
ejpam-5567	657	4	of	of	ADP
ejpam-5567	657	5	soft	soft	ADJ
ejpam-5567	657	6	sets	set	NOUN
ejpam-5567	657	7	to	to	PART
ejpam-5567	657	8	ternary	ternary	VERB
ejpam-5567	657	9	soft	soft	ADJ
ejpam-5567	657	10	sets	set	NOUN
ejpam-5567	657	11	,	,	PUNCT
ejpam-5567	657	12	which	which	PRON
ejpam-5567	657	13	are	be	AUX
ejpam-5567	657	14	defined	define	VERB
ejpam-5567	657	15	over	over	ADP
ejpam-5567	657	16	three	three	NUM
ejpam-5567	657	17	universal	universal	ADJ
ejpam-5567	657	18	sets	set	NOUN
ejpam-5567	657	19	and	and	CCONJ
ejpam-5567	657	20	a	a	DET
ejpam-5567	657	21	parameter	parameter	NOUN
ejpam-5567	657	22	set	set	NOUN
ejpam-5567	657	23	.	.	PUNCT
ejpam-5567	658	1	the	the	DET
ejpam-5567	658	2	primary	primary	ADJ
ejpam-5567	658	3	goal	goal	NOUN
ejpam-5567	658	4	is	be	AUX
ejpam-5567	658	5	to	to	PART
ejpam-5567	658	6	extend	extend	VERB
ejpam-5567	658	7	the	the	DET
ejpam-5567	658	8	binary	binary	ADJ
ejpam-5567	658	9	soft	soft	ADJ
ejpam-5567	658	10	set	set	NOUN
ejpam-5567	658	11	theory	theory	NOUN
ejpam-5567	658	12	to	to	PART
ejpam-5567	658	13	handle	handle	VERB
ejpam-5567	658	14	more	more	ADJ
ejpam-5567	658	15	complex	complex	ADJ
ejpam-5567	658	16	systems	system	NOUN
ejpam-5567	658	17	involving	involve	VERB
ejpam-5567	658	18	three	three	NUM
ejpam-5567	658	19	sets	set	NOUN
ejpam-5567	658	20	.	.	PUNCT
ejpam-5567	659	1	mathematical	mathematical	ADJ
ejpam-5567	659	2	structure	structure	NOUN
ejpam-5567	659	3	introduces	introduce	VERB
ejpam-5567	659	4	binary	binary	ADJ
ejpam-5567	659	5	soft	soft	ADJ
ejpam-5567	659	6	topological	topological	ADJ
ejpam-5567	659	7	structures	structure	NOUN
ejpam-5567	659	8	based	base	VERB
ejpam-5567	659	9	on	on	ADP
ejpam-5567	659	10	two	two	NUM
ejpam-5567	659	11	sets	set	NOUN
ejpam-5567	659	12	.	.	PUNCT
ejpam-5567	660	1	this	this	PRON
ejpam-5567	660	2	includes	include	VERB
ejpam-5567	660	3	the	the	DET
ejpam-5567	660	4	concept	concept	NOUN
ejpam-5567	660	5	of	of	ADP
ejpam-5567	660	6	binary	binary	ADJ
ejpam-5567	660	7	soft	soft	ADJ
ejpam-5567	660	8	open	open	ADJ
ejpam-5567	660	9	sets	set	NOUN
ejpam-5567	660	10	,	,	PUNCT
ejpam-5567	660	11	binary	binary	ADJ
ejpam-5567	660	12	soft	soft	ADJ
ejpam-5567	660	13	closed	closed	ADJ
ejpam-5567	660	14	sets	set	NOUN
ejpam-5567	660	15	,	,	PUNCT
ejpam-5567	660	16	and	and	CCONJ
ejpam-5567	660	17	other	other	ADJ
ejpam-5567	660	18	basic	basic	ADJ
ejpam-5567	660	19	topological	topological	ADJ
ejpam-5567	660	20	constructs	construct	NOUN
ejpam-5567	660	21	like	like	ADP
ejpam-5567	660	22	binary	binary	ADJ
ejpam-5567	660	23	soft	soft	ADJ
ejpam-5567	660	24	neighborhoods	neighborhood	NOUN
ejpam-5567	660	25	.	.	PUNCT
ejpam-5567	661	1	these	these	DET
ejpam-5567	661	2	concepts	concept	NOUN
ejpam-5567	661	3	help	help	VERB
ejpam-5567	661	4	define	define	VERB
ejpam-5567	661	5	the	the	DET
ejpam-5567	661	6	relationships	relationship	NOUN
ejpam-5567	661	7	and	and	CCONJ
ejpam-5567	661	8	operations	operation	NOUN
ejpam-5567	661	9	between	between	ADP
ejpam-5567	661	10	binary	binary	ADJ
ejpam-5567	661	11	sets	set	NOUN
ejpam-5567	661	12	.	.	PUNCT
ejpam-5567	662	1	extends	extend	VERB
ejpam-5567	662	2	the	the	DET
ejpam-5567	662	3	topological	topological	ADJ
ejpam-5567	662	4	framework	framework	NOUN
ejpam-5567	662	5	to	to	PART
ejpam-5567	662	6	ternary	ternary	VERB
ejpam-5567	662	7	soft	soft	ADJ
ejpam-5567	662	8	sets	set	NOUN
ejpam-5567	662	9	;	;	PUNCT
ejpam-5567	662	10	introducing	introduce	VERB
ejpam-5567	662	11	ternary	ternary	ADJ
ejpam-5567	662	12	soft	soft	ADJ
ejpam-5567	662	13	topological	topological	ADJ
ejpam-5567	662	14	structures	structure	NOUN
ejpam-5567	662	15	.	.	PUNCT
ejpam-5567	663	1	this	this	PRON
ejpam-5567	663	2	includes	include	VERB
ejpam-5567	663	3	the	the	DET
ejpam-5567	663	4	extension	extension	NOUN
ejpam-5567	663	5	of	of	ADP
ejpam-5567	663	6	binary	binary	ADJ
ejpam-5567	663	7	topological	topological	ADJ
ejpam-5567	663	8	concepts	concept	NOUN
ejpam-5567	663	9	such	such	ADJ
ejpam-5567	663	10	as	as	ADP
ejpam-5567	663	11	ternary	ternary	ADJ
ejpam-5567	663	12	soft	soft	ADJ
ejpam-5567	663	13	open	open	ADJ
ejpam-5567	663	14	sets	set	NOUN
ejpam-5567	663	15	,	,	PUNCT
ejpam-5567	663	16	ternary	ternary	ADJ
ejpam-5567	663	17	soft	soft	ADJ
ejpam-5567	663	18	closed	closed	ADJ
ejpam-5567	663	19	sets	set	NOUN
ejpam-5567	663	20	,	,	PUNCT
ejpam-5567	663	21	ternary	ternary	ADJ
ejpam-5567	663	22	soft	soft	ADJ
ejpam-5567	663	23	closure	closure	NOUN
ejpam-5567	663	24	,	,	PUNCT
ejpam-5567	663	25	ternary	ternary	ADJ
ejpam-5567	663	26	soft	soft	ADJ
ejpam-5567	663	27	boundary	boundary	NOUN
ejpam-5567	663	28	,	,	PUNCT
ejpam-5567	663	29	and	and	CCONJ
ejpam-5567	663	30	ternary	ternary	ADJ
ejpam-5567	663	31	soft	soft	ADJ
ejpam-5567	663	32	neighborhoods	neighborhood	NOUN
ejpam-5567	663	33	.	.	PUNCT
ejpam-5567	664	1	these	these	DET
ejpam-5567	664	2	structures	structure	NOUN
ejpam-5567	664	3	offer	offer	VERB
ejpam-5567	664	4	a	a	DET
ejpam-5567	664	5	more	more	ADV
ejpam-5567	664	6	complex	complex	ADJ
ejpam-5567	664	7	mathematical	mathematical	ADJ
ejpam-5567	664	8	framework	framework	NOUN
ejpam-5567	664	9	for	for	ADP
ejpam-5567	664	10	analyzing	analyze	VERB
ejpam-5567	664	11	sets	set	NOUN
ejpam-5567	664	12	with	with	ADP
ejpam-5567	664	13	three	three	NUM
ejpam-5567	664	14	components	component	NOUN
ejpam-5567	664	15	.	.	PUNCT
ejpam-5567	665	1	operations	operation	NOUN
ejpam-5567	665	2	defines	define	VERB
ejpam-5567	665	3	various	various	ADJ
ejpam-5567	665	4	operations	operation	NOUN
ejpam-5567	665	5	on	on	ADP
ejpam-5567	665	6	binary	binary	ADJ
ejpam-5567	665	7	soft	soft	ADJ
ejpam-5567	665	8	sets	set	NOUN
ejpam-5567	665	9	,	,	PUNCT
ejpam-5567	665	10	such	such	ADJ
ejpam-5567	665	11	as	as	ADP
ejpam-5567	665	12	subset	subset	NOUN
ejpam-5567	665	13	,	,	PUNCT
ejpam-5567	665	14	superset	superset	NOUN
ejpam-5567	665	15	,	,	PUNCT
ejpam-5567	665	16	complement	complement	NOUN
ejpam-5567	665	17	,	,	PUNCT
ejpam-5567	665	18	union	union	NOUN
ejpam-5567	665	19	,	,	PUNCT
ejpam-5567	665	20	intersection	intersection	NOUN
ejpam-5567	665	21	,	,	PUNCT
ejpam-5567	665	22	difference	difference	NOUN
ejpam-5567	665	23	between	between	ADP
ejpam-5567	665	24	,	,	PUNCT
ejpam-5567	665	25	and	and	CCONJ
ejpam-5567	665	26	symmetric	symmetric	ADJ
ejpam-5567	665	27	difference	difference	NOUN
ejpam-5567	665	28	two	two	NUM
ejpam-5567	665	29	binary	binary	ADJ
ejpam-5567	665	30	soft	soft	ADJ
ejpam-5567	665	31	sets	set	NOUN
ejpam-5567	665	32	.	.	PUNCT
ejpam-5567	666	1	these	these	DET
ejpam-5567	666	2	operations	operation	NOUN
ejpam-5567	666	3	are	be	AUX
ejpam-5567	666	4	basic	basic	ADJ
ejpam-5567	666	5	but	but	CCONJ
ejpam-5567	666	6	essential	essential	ADJ
ejpam-5567	666	7	for	for	ADP
ejpam-5567	666	8	working	work	VERB
ejpam-5567	666	9	with	with	ADP
ejpam-5567	666	10	soft	soft	ADJ
ejpam-5567	666	11	sets	set	NOUN
ejpam-5567	666	12	.	.	PUNCT
ejpam-5567	667	1	defines	define	NOUN
ejpam-5567	667	2	subset	subset	NOUN
ejpam-5567	667	3	,	,	PUNCT
ejpam-5567	667	4	superset	superset	NOUN
ejpam-5567	667	5	,	,	PUNCT
ejpam-5567	667	6	complement	complement	NOUN
ejpam-5567	667	7	,	,	PUNCT
ejpam-5567	667	8	union	union	NOUN
ejpam-5567	667	9	,	,	PUNCT
ejpam-5567	667	10	intersection	intersection	NOUN
ejpam-5567	667	11	,	,	PUNCT
ejpam-5567	667	12	difference	difference	NOUN
ejpam-5567	667	13	,	,	PUNCT
ejpam-5567	667	14	but	but	CCONJ
ejpam-5567	667	15	applied	apply	VERB
ejpam-5567	667	16	to	to	ADP
ejpam-5567	667	17	ternary	ternary	ADJ
ejpam-5567	667	18	soft	soft	ADJ
ejpam-5567	667	19	sets	set	NOUN
ejpam-5567	667	20	.	.	PUNCT
ejpam-5567	668	1	these	these	DET
ejpam-5567	668	2	operations	operation	NOUN
ejpam-5567	668	3	become	become	VERB
ejpam-5567	668	4	more	more	ADV
ejpam-5567	668	5	intricate	intricate	ADJ
ejpam-5567	668	6	due	due	ADP
ejpam-5567	668	7	to	to	ADP
ejpam-5567	668	8	the	the	DET
ejpam-5567	668	9	involvement	involvement	NOUN
ejpam-5567	668	10	of	of	ADP
ejpam-5567	668	11	three	three	NUM
ejpam-5567	668	12	sets	set	NOUN
ejpam-5567	668	13	,	,	PUNCT
ejpam-5567	668	14	expanding	expand	VERB
ejpam-5567	668	15	the	the	DET
ejpam-5567	668	16	scope	scope	NOUN
ejpam-5567	668	17	of	of	ADP
ejpam-5567	668	18	operations	operation	NOUN
ejpam-5567	668	19	to	to	PART
ejpam-5567	668	20	handle	handle	VERB
ejpam-5567	668	21	more	more	ADJ
ejpam-5567	668	22	complex	complex	ADJ
ejpam-5567	668	23	interactions	interaction	NOUN
ejpam-5567	668	24	.	.	PUNCT
ejpam-5567	669	1	logical	logical	ADJ
ejpam-5567	669	2	operations	operation	NOUN
ejpam-5567	669	3	defines	define	NOUN
ejpam-5567	669	4	and	and	CCONJ
ejpam-5567	669	5	and	and	CCONJ
ejpam-5567	669	6	or	or	CCONJ
ejpam-5567	669	7	operations	operation	NOUN
ejpam-5567	669	8	between	between	ADP
ejpam-5567	669	9	two	two	NUM
ejpam-5567	669	10	binary	binary	ADJ
ejpam-5567	669	11	soft	soft	ADJ
ejpam-5567	669	12	sets	set	NOUN
ejpam-5567	669	13	.	.	PUNCT
ejpam-5567	670	1	these	these	DET
ejpam-5567	670	2	logical	logical	ADJ
ejpam-5567	670	3	operations	operation	NOUN
ejpam-5567	670	4	are	be	AUX
ejpam-5567	670	5	used	use	VERB
ejpam-5567	670	6	to	to	PART
ejpam-5567	670	7	combine	combine	VERB
ejpam-5567	670	8	or	or	CCONJ
ejpam-5567	670	9	intersect	intersect	VERB
ejpam-5567	670	10	the	the	DET
ejpam-5567	670	11	information	information	NOUN
ejpam-5567	670	12	represented	represent	VERB
ejpam-5567	670	13	by	by	ADP
ejpam-5567	670	14	the	the	DET
ejpam-5567	670	15	two	two	NUM
ejpam-5567	670	16	sets	set	NOUN
ejpam-5567	670	17	.	.	PUNCT
ejpam-5567	671	1	the	the	DET
ejpam-5567	671	2	operations	operation	NOUN
ejpam-5567	671	3	work	work	VERB
ejpam-5567	671	4	within	within	ADP
ejpam-5567	671	5	the	the	DET
ejpam-5567	671	6	binary	binary	ADJ
ejpam-5567	671	7	framework	framework	NOUN
ejpam-5567	671	8	,	,	PUNCT
ejpam-5567	671	9	allowing	allow	VERB
ejpam-5567	671	10	for	for	ADP
ejpam-5567	671	11	basic	basic	ADJ
ejpam-5567	671	12	logical	logical	ADJ
ejpam-5567	671	13	interactions	interaction	NOUN
ejpam-5567	671	14	.	.	PUNCT
ejpam-5567	672	1	expands	expand	VERB
ejpam-5567	672	2	on	on	ADP
ejpam-5567	672	3	the	the	DET
ejpam-5567	672	4	logical	logical	ADJ
ejpam-5567	672	5	operations	operation	NOUN
ejpam-5567	672	6	by	by	ADP
ejpam-5567	672	7	defining	define	VERB
ejpam-5567	672	8	and	and	CCONJ
ejpam-5567	672	9	and	and	CCONJ
ejpam-5567	672	10	or	or	CCONJ
ejpam-5567	672	11	operations	operation	NOUN
ejpam-5567	672	12	between	between	ADP
ejpam-5567	672	13	ternary	ternary	ADJ
ejpam-5567	672	14	soft	soft	ADJ
ejpam-5567	672	15	sets	set	NOUN
ejpam-5567	672	16	.	.	PUNCT
ejpam-5567	673	1	the	the	DET
ejpam-5567	673	2	extension	extension	NOUN
ejpam-5567	673	3	involves	involve	VERB
ejpam-5567	673	4	handling	handle	VERB
ejpam-5567	673	5	three	three	NUM
ejpam-5567	673	6	sets	set	NOUN
ejpam-5567	673	7	,	,	PUNCT
ejpam-5567	673	8	providing	provide	VERB
ejpam-5567	673	9	a	a	DET
ejpam-5567	673	10	more	more	ADV
ejpam-5567	673	11	nuanced	nuanced	ADJ
ejpam-5567	673	12	logical	logical	ADJ
ejpam-5567	673	13	framework	framework	NOUN
ejpam-5567	673	14	that	that	PRON
ejpam-5567	673	15	accounts	account	VERB
ejpam-5567	673	16	for	for	ADP
ejpam-5567	673	17	three	three	NUM
ejpam-5567	673	18	sets	set	NOUN
ejpam-5567	673	19	’	'	PUNCT
ejpam-5567	673	20	relationships	relationship	NOUN
ejpam-5567	673	21	and	and	CCONJ
ejpam-5567	673	22	their	their	PRON
ejpam-5567	673	23	interactions	interaction	NOUN
ejpam-5567	673	24	.	.	PUNCT
ejpam-5567	674	1	m.	m.	NOUN
ejpam-5567	674	2	nawaz	nawaz	PROPN
ejpam-5567	674	3	et	et	PROPN
ejpam-5567	674	4	al	al	PROPN
ejpam-5567	674	5	.	.	PUNCT
ejpam-5567	674	6	/	/	SYM
ejpam-5567	674	7	eur	eur	PROPN
ejpam-5567	674	8	.	.	PUNCT
ejpam-5567	675	1	j.	j.	PROPN
ejpam-5567	675	2	pure	pure	PROPN
ejpam-5567	675	3	appl	appl	PROPN
ejpam-5567	675	4	.	.	PROPN
ejpam-5567	675	5	math	math	PROPN
ejpam-5567	675	6	,	,	PUNCT
ejpam-5567	675	7	18	18	NUM
ejpam-5567	675	8	(	(	PUNCT
ejpam-5567	675	9	1	1	NUM
ejpam-5567	675	10	)	)	PUNCT
ejpam-5567	675	11	(	(	PUNCT
ejpam-5567	675	12	2025	2025	NUM
ejpam-5567	675	13	)	)	PUNCT
ejpam-5567	675	14	,	,	PUNCT
ejpam-5567	675	15	5567	5567	NUM
ejpam-5567	675	16	29	29	NUM
ejpam-5567	675	17	of	of	ADP
ejpam-5567	675	18	45	45	NUM
ejpam-5567	675	19	factor	factor	NOUN
ejpam-5567	675	20	binary	binary	NOUN
ejpam-5567	675	21	soft	soft	ADJ
ejpam-5567	675	22	sets	set	NOUN
ejpam-5567	675	23	and	and	CCONJ
ejpam-5567	675	24	binary	binary	ADJ
ejpam-5567	675	25	soft	soft	ADJ
ejpam-5567	675	26	topological	topological	ADJ
ejpam-5567	675	27	spaces	space	NOUN
ejpam-5567	675	28	(	(	PUNCT
ejpam-5567	675	29	published	publish	VERB
ejpam-5567	675	30	work	work	NOUN
ejpam-5567	675	31	)	)	PUNCT
ejpam-5567	676	1	[	[	X
ejpam-5567	676	2	8	8	NUM
ejpam-5567	676	3	]	]	X
ejpam-5567	676	4	ternary	ternary	ADJ
ejpam-5567	676	5	soft	soft	ADJ
ejpam-5567	676	6	sets	set	NOUN
ejpam-5567	676	7	and	and	CCONJ
ejpam-5567	676	8	ternary	ternary	ADJ
ejpam-5567	676	9	soft	soft	ADJ
ejpam-5567	676	10	topological	topological	ADJ
ejpam-5567	676	11	spaces	space	NOUN
ejpam-5567	676	12	(	(	PUNCT
ejpam-5567	676	13	proposed	propose	VERB
ejpam-5567	676	14	method	method	NOUN
ejpam-5567	676	15	)	)	PUNCT
ejpam-5567	676	16	topological	topological	ADJ
ejpam-5567	676	17	concepts	concept	NOUN
ejpam-5567	676	18	focuses	focus	VERB
ejpam-5567	676	19	on	on	ADP
ejpam-5567	676	20	binary	binary	ADJ
ejpam-5567	676	21	soft	soft	ADJ
ejpam-5567	676	22	open	open	ADJ
ejpam-5567	676	23	sets	set	NOUN
ejpam-5567	676	24	,	,	PUNCT
ejpam-5567	676	25	binary	binary	ADJ
ejpam-5567	676	26	soft	soft	ADJ
ejpam-5567	676	27	closed	closed	ADJ
ejpam-5567	676	28	sets	set	NOUN
ejpam-5567	676	29	,	,	PUNCT
ejpam-5567	676	30	binary	binary	ADJ
ejpam-5567	676	31	soft	soft	ADJ
ejpam-5567	676	32	closure	closure	NOUN
ejpam-5567	676	33	,	,	PUNCT
ejpam-5567	676	34	binary	binary	ADJ
ejpam-5567	676	35	soft	soft	ADJ
ejpam-5567	676	36	boundary	boundary	NOUN
ejpam-5567	676	37	,	,	PUNCT
ejpam-5567	676	38	and	and	CCONJ
ejpam-5567	676	39	binary	binary	ADJ
ejpam-5567	676	40	soft	soft	ADJ
ejpam-5567	676	41	neighborhoods	neighborhood	NOUN
ejpam-5567	676	42	.	.	PUNCT
ejpam-5567	677	1	these	these	DET
ejpam-5567	677	2	concepts	concept	NOUN
ejpam-5567	677	3	help	help	VERB
ejpam-5567	677	4	define	define	VERB
ejpam-5567	677	5	the	the	DET
ejpam-5567	677	6	structure	structure	NOUN
ejpam-5567	677	7	and	and	CCONJ
ejpam-5567	677	8	properties	property	NOUN
ejpam-5567	677	9	of	of	ADP
ejpam-5567	677	10	soft	soft	ADJ
ejpam-5567	677	11	sets	set	NOUN
ejpam-5567	677	12	in	in	ADP
ejpam-5567	677	13	the	the	DET
ejpam-5567	677	14	context	context	NOUN
ejpam-5567	677	15	of	of	ADP
ejpam-5567	677	16	two	two	NUM
ejpam-5567	677	17	universal	universal	ADJ
ejpam-5567	677	18	sets	set	NOUN
ejpam-5567	677	19	,	,	PUNCT
ejpam-5567	677	20	establishing	establish	VERB
ejpam-5567	677	21	basic	basic	ADJ
ejpam-5567	677	22	principles	principle	NOUN
ejpam-5567	677	23	of	of	ADP
ejpam-5567	677	24	binary	binary	ADJ
ejpam-5567	677	25	soft	soft	ADJ
ejpam-5567	677	26	topology	topology	NOUN
ejpam-5567	677	27	.	.	PUNCT
ejpam-5567	678	1	introduces	introduce	VERB
ejpam-5567	678	2	ternary	ternary	ADJ
ejpam-5567	678	3	soft	soft	ADJ
ejpam-5567	678	4	topological	topological	ADJ
ejpam-5567	678	5	concepts	concept	NOUN
ejpam-5567	678	6	such	such	ADJ
ejpam-5567	678	7	as	as	ADP
ejpam-5567	678	8	ternary	ternary	ADJ
ejpam-5567	678	9	soft	soft	ADJ
ejpam-5567	678	10	open	open	ADJ
ejpam-5567	678	11	sets	set	NOUN
ejpam-5567	678	12	,	,	PUNCT
ejpam-5567	678	13	ternary	ternary	ADJ
ejpam-5567	678	14	soft	soft	ADJ
ejpam-5567	678	15	closed	closed	ADJ
ejpam-5567	678	16	sets	set	NOUN
ejpam-5567	678	17	,	,	PUNCT
ejpam-5567	678	18	ternary	ternary	ADJ
ejpam-5567	678	19	soft	soft	ADJ
ejpam-5567	678	20	closure	closure	NOUN
ejpam-5567	678	21	,	,	PUNCT
ejpam-5567	678	22	ternary	ternary	ADJ
ejpam-5567	678	23	soft	soft	ADJ
ejpam-5567	678	24	boundary	boundary	NOUN
ejpam-5567	678	25	,	,	PUNCT
ejpam-5567	678	26	and	and	CCONJ
ejpam-5567	678	27	ternary	ternary	ADJ
ejpam-5567	678	28	soft	soft	ADJ
ejpam-5567	678	29	neighborhoods	neighborhood	NOUN
ejpam-5567	678	30	.	.	PUNCT
ejpam-5567	679	1	these	these	DET
ejpam-5567	679	2	concepts	concept	NOUN
ejpam-5567	679	3	extend	extend	VERB
ejpam-5567	679	4	the	the	DET
ejpam-5567	679	5	foundational	foundational	ADJ
ejpam-5567	679	6	work	work	NOUN
ejpam-5567	679	7	on	on	ADP
ejpam-5567	679	8	binary	binary	ADJ
ejpam-5567	679	9	soft	soft	ADJ
ejpam-5567	679	10	topology	topology	NOUN
ejpam-5567	679	11	to	to	ADP
ejpam-5567	679	12	more	more	ADV
ejpam-5567	679	13	complex	complex	ADJ
ejpam-5567	679	14	structures	structure	NOUN
ejpam-5567	679	15	involving	involve	VERB
ejpam-5567	679	16	three	three	NUM
ejpam-5567	679	17	sets	set	NOUN
ejpam-5567	679	18	,	,	PUNCT
ejpam-5567	679	19	creating	create	VERB
ejpam-5567	679	20	a	a	DET
ejpam-5567	679	21	more	more	ADV
ejpam-5567	679	22	intricate	intricate	ADJ
ejpam-5567	679	23	topological	topological	ADJ
ejpam-5567	679	24	framework	framework	NOUN
ejpam-5567	679	25	.	.	PUNCT
ejpam-5567	680	1	scope	scope	NOUN
ejpam-5567	680	2	of	of	ADP
ejpam-5567	680	3	study	study	VERB
ejpam-5567	680	4	the	the	DET
ejpam-5567	680	5	scope	scope	NOUN
ejpam-5567	680	6	is	be	AUX
ejpam-5567	680	7	limited	limit	VERB
ejpam-5567	680	8	to	to	ADP
ejpam-5567	680	9	binary	binary	ADJ
ejpam-5567	680	10	soft	soft	ADJ
ejpam-5567	680	11	set	set	VERB
ejpam-5567	680	12	operations	operation	NOUN
ejpam-5567	680	13	and	and	CCONJ
ejpam-5567	680	14	their	their	PRON
ejpam-5567	680	15	interactions	interaction	NOUN
ejpam-5567	680	16	within	within	ADP
ejpam-5567	680	17	a	a	DET
ejpam-5567	680	18	two	two	NUM
ejpam-5567	680	19	-	-	PUNCT
ejpam-5567	680	20	set	set	VERB
ejpam-5567	680	21	framework	framework	NOUN
ejpam-5567	680	22	.	.	PUNCT
ejpam-5567	681	1	it	it	PRON
ejpam-5567	681	2	provides	provide	VERB
ejpam-5567	681	3	foundational	foundational	ADJ
ejpam-5567	681	4	concepts	concept	NOUN
ejpam-5567	681	5	and	and	CCONJ
ejpam-5567	681	6	operations	operation	NOUN
ejpam-5567	681	7	,	,	PUNCT
ejpam-5567	681	8	and	and	CCONJ
ejpam-5567	681	9	serves	serve	VERB
ejpam-5567	681	10	as	as	ADP
ejpam-5567	681	11	an	an	DET
ejpam-5567	681	12	introduction	introduction	NOUN
ejpam-5567	681	13	to	to	ADP
ejpam-5567	681	14	the	the	DET
ejpam-5567	681	15	study	study	NOUN
ejpam-5567	681	16	of	of	ADP
ejpam-5567	681	17	soft	soft	ADJ
ejpam-5567	681	18	sets	set	NOUN
ejpam-5567	681	19	in	in	ADP
ejpam-5567	681	20	a	a	DET
ejpam-5567	681	21	simple	simple	ADJ
ejpam-5567	681	22	binary	binary	ADJ
ejpam-5567	681	23	context	context	NOUN
ejpam-5567	681	24	.	.	PUNCT
ejpam-5567	682	1	broadens	broaden	VERB
ejpam-5567	682	2	the	the	DET
ejpam-5567	682	3	scope	scope	NOUN
ejpam-5567	682	4	significantly	significantly	ADV
ejpam-5567	682	5	,	,	PUNCT
ejpam-5567	682	6	focusing	focus	VERB
ejpam-5567	682	7	on	on	ADP
ejpam-5567	682	8	ternary	ternary	ADJ
ejpam-5567	682	9	soft	soft	ADJ
ejpam-5567	682	10	sets	set	NOUN
ejpam-5567	682	11	and	and	CCONJ
ejpam-5567	682	12	the	the	DET
ejpam-5567	682	13	corresponding	correspond	VERB
ejpam-5567	682	14	operations	operation	NOUN
ejpam-5567	682	15	and	and	CCONJ
ejpam-5567	682	16	structures	structure	NOUN
ejpam-5567	682	17	.	.	PUNCT
ejpam-5567	683	1	this	this	DET
ejpam-5567	683	2	expansion	expansion	NOUN
ejpam-5567	683	3	to	to	ADP
ejpam-5567	683	4	a	a	DET
ejpam-5567	683	5	threeset	threeset	NOUN
ejpam-5567	683	6	framework	framework	NOUN
ejpam-5567	683	7	introduces	introduce	VERB
ejpam-5567	683	8	new	new	ADJ
ejpam-5567	683	9	complexities	complexity	NOUN
ejpam-5567	683	10	and	and	CCONJ
ejpam-5567	683	11	opens	open	VERB
ejpam-5567	683	12	the	the	DET
ejpam-5567	683	13	door	door	NOUN
ejpam-5567	683	14	for	for	ADP
ejpam-5567	683	15	deeper	deep	ADJ
ejpam-5567	683	16	exploration	exploration	NOUN
ejpam-5567	683	17	in	in	ADP
ejpam-5567	683	18	more	more	ADV
ejpam-5567	683	19	sophisticated	sophisticated	ADJ
ejpam-5567	683	20	and	and	CCONJ
ejpam-5567	683	21	multidimensional	multidimensional	ADJ
ejpam-5567	683	22	decisionmaking	decisionmake	VERB
ejpam-5567	683	23	systems	system	NOUN
ejpam-5567	683	24	.	.	PUNCT
ejpam-5567	684	1	mathematical	mathematical	ADJ
ejpam-5567	684	2	complexity	complexity	NOUN
ejpam-5567	684	3	the	the	DET
ejpam-5567	684	4	mathematical	mathematical	ADJ
ejpam-5567	684	5	complexity	complexity	NOUN
ejpam-5567	684	6	in	in	ADP
ejpam-5567	684	7	this	this	DET
ejpam-5567	684	8	work	work	NOUN
ejpam-5567	684	9	is	be	AUX
ejpam-5567	684	10	relatively	relatively	ADV
ejpam-5567	684	11	simpler	simple	ADJ
ejpam-5567	684	12	,	,	PUNCT
ejpam-5567	684	13	as	as	SCONJ
ejpam-5567	684	14	it	it	PRON
ejpam-5567	684	15	deals	deal	VERB
ejpam-5567	684	16	with	with	ADP
ejpam-5567	684	17	binary	binary	ADJ
ejpam-5567	684	18	soft	soft	ADJ
ejpam-5567	684	19	sets	set	NOUN
ejpam-5567	684	20	and	and	CCONJ
ejpam-5567	684	21	their	their	PRON
ejpam-5567	684	22	interactions	interaction	NOUN
ejpam-5567	684	23	in	in	ADP
ejpam-5567	684	24	a	a	DET
ejpam-5567	684	25	two	two	NUM
ejpam-5567	684	26	-	-	PUNCT
ejpam-5567	684	27	set	set	VERB
ejpam-5567	684	28	context	context	NOUN
ejpam-5567	684	29	.	.	PUNCT
ejpam-5567	685	1	this	this	PRON
ejpam-5567	685	2	makes	make	VERB
ejpam-5567	685	3	the	the	DET
ejpam-5567	685	4	paper	paper	NOUN
ejpam-5567	685	5	easier	easy	ADJ
ejpam-5567	685	6	to	to	PART
ejpam-5567	685	7	follow	follow	VERB
ejpam-5567	685	8	for	for	ADP
ejpam-5567	685	9	those	those	PRON
ejpam-5567	685	10	familiar	familiar	ADJ
ejpam-5567	685	11	with	with	ADP
ejpam-5567	685	12	basic	basic	ADJ
ejpam-5567	685	13	set	set	NOUN
ejpam-5567	685	14	theory	theory	NOUN
ejpam-5567	685	15	and	and	CCONJ
ejpam-5567	685	16	operations	operation	NOUN
ejpam-5567	685	17	.	.	PUNCT
ejpam-5567	686	1	introduces	introduce	NOUN
ejpam-5567	686	2	a	a	DET
ejpam-5567	686	3	higher	high	ADJ
ejpam-5567	686	4	level	level	NOUN
ejpam-5567	686	5	of	of	ADP
ejpam-5567	686	6	complexity	complexity	NOUN
ejpam-5567	686	7	because	because	SCONJ
ejpam-5567	686	8	it	it	PRON
ejpam-5567	686	9	involves	involve	VERB
ejpam-5567	686	10	ternary	ternary	ADJ
ejpam-5567	686	11	soft	soft	ADJ
ejpam-5567	686	12	sets	set	NOUN
ejpam-5567	686	13	,	,	PUNCT
ejpam-5567	686	14	which	which	PRON
ejpam-5567	686	15	requires	require	VERB
ejpam-5567	686	16	handling	handle	VERB
ejpam-5567	686	17	additional	additional	ADJ
ejpam-5567	686	18	sets	set	NOUN
ejpam-5567	686	19	and	and	CCONJ
ejpam-5567	686	20	more	more	ADV
ejpam-5567	686	21	intricate	intricate	ADJ
ejpam-5567	686	22	relationships	relationship	NOUN
ejpam-5567	686	23	between	between	ADP
ejpam-5567	686	24	them	they	PRON
ejpam-5567	686	25	.	.	PUNCT
ejpam-5567	687	1	the	the	DET
ejpam-5567	687	2	extension	extension	NOUN
ejpam-5567	687	3	to	to	ADP
ejpam-5567	687	4	three	three	NUM
ejpam-5567	687	5	sets	set	NOUN
ejpam-5567	687	6	naturally	naturally	ADV
ejpam-5567	687	7	introduces	introduce	VERB
ejpam-5567	687	8	more	more	ADV
ejpam-5567	687	9	challenging	challenging	ADJ
ejpam-5567	687	10	mathematical	mathematical	ADJ
ejpam-5567	687	11	structures	structure	NOUN
ejpam-5567	687	12	and	and	CCONJ
ejpam-5567	687	13	operations	operation	NOUN
ejpam-5567	687	14	.	.	PUNCT
ejpam-5567	688	1	research	research	NOUN
ejpam-5567	688	2	objective	objective	NOUN
ejpam-5567	688	3	the	the	DET
ejpam-5567	688	4	primary	primary	ADJ
ejpam-5567	688	5	objective	objective	NOUN
ejpam-5567	688	6	is	be	AUX
ejpam-5567	688	7	to	to	PART
ejpam-5567	688	8	define	define	VERB
ejpam-5567	688	9	,	,	PUNCT
ejpam-5567	688	10	explore	explore	VERB
ejpam-5567	688	11	,	,	PUNCT
ejpam-5567	688	12	and	and	CCONJ
ejpam-5567	688	13	establish	establish	VERB
ejpam-5567	688	14	properties	property	NOUN
ejpam-5567	688	15	of	of	ADP
ejpam-5567	688	16	binary	binary	ADJ
ejpam-5567	688	17	soft	soft	ADJ
ejpam-5567	688	18	sets	set	NOUN
ejpam-5567	688	19	,	,	PUNCT
ejpam-5567	688	20	focusing	focus	VERB
ejpam-5567	688	21	on	on	ADP
ejpam-5567	688	22	their	their	PRON
ejpam-5567	688	23	operations	operation	NOUN
ejpam-5567	688	24	and	and	CCONJ
ejpam-5567	688	25	topological	topological	ADJ
ejpam-5567	688	26	structures	structure	NOUN
ejpam-5567	688	27	.	.	PUNCT
ejpam-5567	689	1	the	the	DET
ejpam-5567	689	2	paper	paper	NOUN
ejpam-5567	689	3	aims	aim	VERB
ejpam-5567	689	4	to	to	PART
ejpam-5567	689	5	lay	lay	VERB
ejpam-5567	689	6	the	the	DET
ejpam-5567	689	7	groundwork	groundwork	NOUN
ejpam-5567	689	8	for	for	ADP
ejpam-5567	689	9	future	future	ADJ
ejpam-5567	689	10	research	research	NOUN
ejpam-5567	689	11	in	in	ADP
ejpam-5567	689	12	binary	binary	ADJ
ejpam-5567	689	13	soft	soft	ADJ
ejpam-5567	689	14	set	set	NOUN
ejpam-5567	689	15	theory	theory	NOUN
ejpam-5567	689	16	and	and	CCONJ
ejpam-5567	689	17	applications	application	NOUN
ejpam-5567	689	18	.	.	PUNCT
ejpam-5567	690	1	the	the	DET
ejpam-5567	690	2	goal	goal	NOUN
ejpam-5567	690	3	of	of	ADP
ejpam-5567	690	4	the	the	DET
ejpam-5567	690	5	work	work	NOUN
ejpam-5567	690	6	is	be	AUX
ejpam-5567	690	7	to	to	PART
ejpam-5567	690	8	extend	extend	VERB
ejpam-5567	690	9	soft	soft	ADJ
ejpam-5567	690	10	set	set	NOUN
ejpam-5567	690	11	theory	theory	NOUN
ejpam-5567	690	12	by	by	ADP
ejpam-5567	690	13	introducing	introduce	VERB
ejpam-5567	690	14	ternary	ternary	ADJ
ejpam-5567	690	15	soft	soft	ADJ
ejpam-5567	690	16	sets	set	NOUN
ejpam-5567	690	17	and	and	CCONJ
ejpam-5567	690	18	exploring	explore	VERB
ejpam-5567	690	19	their	their	PRON
ejpam-5567	690	20	properties	property	NOUN
ejpam-5567	690	21	and	and	CCONJ
ejpam-5567	690	22	operations	operation	NOUN
ejpam-5567	690	23	.	.	PUNCT
ejpam-5567	691	1	the	the	DET
ejpam-5567	691	2	paper	paper	NOUN
ejpam-5567	691	3	’s	’s	PART
ejpam-5567	691	4	contribution	contribution	NOUN
ejpam-5567	691	5	is	be	AUX
ejpam-5567	691	6	to	to	PART
ejpam-5567	691	7	develop	develop	VERB
ejpam-5567	691	8	new	new	ADJ
ejpam-5567	691	9	mathematical	mathematical	ADJ
ejpam-5567	691	10	structures	structure	NOUN
ejpam-5567	691	11	,	,	PUNCT
ejpam-5567	691	12	such	such	ADJ
ejpam-5567	691	13	as	as	ADP
ejpam-5567	691	14	ternary	ternary	ADJ
ejpam-5567	691	15	soft	soft	ADJ
ejpam-5567	691	16	topological	topological	ADJ
ejpam-5567	691	17	spaces	space	NOUN
ejpam-5567	691	18	,	,	PUNCT
ejpam-5567	691	19	and	and	CCONJ
ejpam-5567	691	20	to	to	PART
ejpam-5567	691	21	study	study	VERB
ejpam-5567	691	22	their	their	PRON
ejpam-5567	691	23	behavior	behavior	NOUN
ejpam-5567	691	24	with	with	ADP
ejpam-5567	691	25	respect	respect	NOUN
ejpam-5567	691	26	to	to	ADP
ejpam-5567	691	27	more	more	ADV
ejpam-5567	691	28	complex	complex	ADJ
ejpam-5567	691	29	decision	decision	NOUN
ejpam-5567	691	30	variables	variable	NOUN
ejpam-5567	691	31	.	.	PUNCT
ejpam-5567	692	1	m.	m.	NOUN
ejpam-5567	692	2	nawaz	nawaz	PROPN
ejpam-5567	692	3	et	et	PROPN
ejpam-5567	692	4	al	al	PROPN
ejpam-5567	692	5	.	.	PUNCT
ejpam-5567	692	6	/	/	SYM
ejpam-5567	692	7	eur	eur	PROPN
ejpam-5567	692	8	.	.	PUNCT
ejpam-5567	693	1	j.	j.	PROPN
ejpam-5567	693	2	pure	pure	PROPN
ejpam-5567	693	3	appl	appl	PROPN
ejpam-5567	693	4	.	.	PROPN
ejpam-5567	693	5	math	math	PROPN
ejpam-5567	693	6	,	,	PUNCT
ejpam-5567	693	7	18	18	NUM
ejpam-5567	693	8	(	(	PUNCT
ejpam-5567	693	9	1	1	NUM
ejpam-5567	693	10	)	)	PUNCT
ejpam-5567	693	11	(	(	PUNCT
ejpam-5567	693	12	2025	2025	NUM
ejpam-5567	693	13	)	)	PUNCT
ejpam-5567	693	14	,	,	PUNCT
ejpam-5567	693	15	5567	5567	NUM
ejpam-5567	693	16	30	30	NUM
ejpam-5567	693	17	of	of	ADP
ejpam-5567	693	18	45	45	NUM
ejpam-5567	693	19	factor	factor	NOUN
ejpam-5567	693	20	binary	binary	NOUN
ejpam-5567	693	21	soft	soft	ADJ
ejpam-5567	693	22	sets	set	NOUN
ejpam-5567	693	23	and	and	CCONJ
ejpam-5567	693	24	binary	binary	ADJ
ejpam-5567	693	25	soft	soft	ADJ
ejpam-5567	693	26	topological	topological	ADJ
ejpam-5567	693	27	spaces	space	NOUN
ejpam-5567	693	28	(	(	PUNCT
ejpam-5567	693	29	published	publish	VERB
ejpam-5567	693	30	work	work	NOUN
ejpam-5567	693	31	)	)	PUNCT
ejpam-5567	694	1	[	[	X
ejpam-5567	694	2	8	8	NUM
ejpam-5567	694	3	]	]	X
ejpam-5567	694	4	ternary	ternary	ADJ
ejpam-5567	694	5	soft	soft	ADJ
ejpam-5567	694	6	sets	set	NOUN
ejpam-5567	694	7	and	and	CCONJ
ejpam-5567	694	8	ternary	ternary	ADJ
ejpam-5567	694	9	soft	soft	ADJ
ejpam-5567	694	10	topological	topological	ADJ
ejpam-5567	694	11	spaces	space	NOUN
ejpam-5567	694	12	(	(	PUNCT
ejpam-5567	694	13	proposed	propose	VERB
ejpam-5567	694	14	method	method	NOUN
ejpam-5567	694	15	)	)	PUNCT
ejpam-5567	694	16	applications	application	NOUN
ejpam-5567	694	17	its	its	PRON
ejpam-5567	694	18	applications	application	NOUN
ejpam-5567	694	19	are	be	AUX
ejpam-5567	694	20	generally	generally	ADV
ejpam-5567	694	21	simpler	simple	ADJ
ejpam-5567	694	22	and	and	CCONJ
ejpam-5567	694	23	focused	focus	VERB
ejpam-5567	694	24	on	on	ADP
ejpam-5567	694	25	decision	decision	NOUN
ejpam-5567	694	26	-	-	PUNCT
ejpam-5567	694	27	making	making	NOUN
ejpam-5567	694	28	in	in	ADP
ejpam-5567	694	29	binary	binary	ADJ
ejpam-5567	694	30	contexts	context	NOUN
ejpam-5567	694	31	.	.	PUNCT
ejpam-5567	695	1	it	it	PRON
ejpam-5567	695	2	can	can	AUX
ejpam-5567	695	3	be	be	AUX
ejpam-5567	695	4	used	use	VERB
ejpam-5567	695	5	in	in	ADP
ejpam-5567	695	6	scenarios	scenario	NOUN
ejpam-5567	695	7	where	where	SCONJ
ejpam-5567	695	8	decisions	decision	NOUN
ejpam-5567	695	9	are	be	AUX
ejpam-5567	695	10	based	base	VERB
ejpam-5567	695	11	on	on	ADP
ejpam-5567	695	12	two	two	NUM
ejpam-5567	695	13	sets	set	NOUN
ejpam-5567	695	14	,	,	PUNCT
ejpam-5567	695	15	such	such	ADJ
ejpam-5567	695	16	as	as	ADP
ejpam-5567	695	17	binary	binary	ADJ
ejpam-5567	695	18	classification	classification	NOUN
ejpam-5567	695	19	or	or	CCONJ
ejpam-5567	695	20	basic	basic	ADJ
ejpam-5567	695	21	set	set	NOUN
ejpam-5567	695	22	operations	operation	NOUN
ejpam-5567	695	23	in	in	ADP
ejpam-5567	695	24	uncertainty	uncertainty	NOUN
ejpam-5567	695	25	modeling	modeling	NOUN
ejpam-5567	695	26	.	.	PUNCT
ejpam-5567	696	1	the	the	DET
ejpam-5567	696	2	applications	application	NOUN
ejpam-5567	696	3	are	be	AUX
ejpam-5567	696	4	more	more	ADV
ejpam-5567	696	5	complex	complex	ADJ
ejpam-5567	696	6	,	,	PUNCT
ejpam-5567	696	7	involving	involve	VERB
ejpam-5567	696	8	three	three	NUM
ejpam-5567	696	9	decision	decision	NOUN
ejpam-5567	696	10	variables	variable	NOUN
ejpam-5567	696	11	.	.	PUNCT
ejpam-5567	697	1	this	this	DET
ejpam-5567	697	2	extension	extension	NOUN
ejpam-5567	697	3	is	be	AUX
ejpam-5567	697	4	useful	useful	ADJ
ejpam-5567	697	5	in	in	ADP
ejpam-5567	697	6	more	more	ADV
ejpam-5567	697	7	advanced	advanced	ADJ
ejpam-5567	697	8	decision	decision	NOUN
ejpam-5567	697	9	-	-	PUNCT
ejpam-5567	697	10	making	make	VERB
ejpam-5567	697	11	models	model	NOUN
ejpam-5567	697	12	where	where	SCONJ
ejpam-5567	697	13	three	three	NUM
ejpam-5567	697	14	sets	set	NOUN
ejpam-5567	697	15	are	be	AUX
ejpam-5567	697	16	needed	need	VERB
ejpam-5567	697	17	to	to	PART
ejpam-5567	697	18	describe	describe	VERB
ejpam-5567	697	19	or	or	CCONJ
ejpam-5567	697	20	analyze	analyze	VERB
ejpam-5567	697	21	the	the	DET
ejpam-5567	697	22	system	system	NOUN
ejpam-5567	697	23	,	,	PUNCT
ejpam-5567	697	24	making	make	VERB
ejpam-5567	697	25	it	it	PRON
ejpam-5567	697	26	applicable	applicable	ADJ
ejpam-5567	697	27	to	to	ADP
ejpam-5567	697	28	more	more	ADV
ejpam-5567	697	29	sophisticated	sophisticated	ADJ
ejpam-5567	697	30	systems	system	NOUN
ejpam-5567	697	31	such	such	ADJ
ejpam-5567	697	32	as	as	ADP
ejpam-5567	697	33	multi	multi	ADJ
ejpam-5567	697	34	-	-	ADJ
ejpam-5567	697	35	criteria	criterion	NOUN
ejpam-5567	697	36	decision	decision	NOUN
ejpam-5567	697	37	analysis	analysis	NOUN
ejpam-5567	697	38	or	or	CCONJ
ejpam-5567	697	39	complex	complex	ADJ
ejpam-5567	697	40	uncertainty	uncertainty	NOUN
ejpam-5567	697	41	modeling	modeling	NOUN
ejpam-5567	697	42	.	.	PUNCT
ejpam-5567	698	1	examples	example	NOUN
ejpam-5567	698	2	and	and	CCONJ
ejpam-5567	698	3	engagements	engagement	NOUN
ejpam-5567	698	4	provides	provide	VERB
ejpam-5567	698	5	various	various	ADJ
ejpam-5567	698	6	examples	example	NOUN
ejpam-5567	698	7	of	of	ADP
ejpam-5567	698	8	binary	binary	ADJ
ejpam-5567	698	9	soft	soft	ADJ
ejpam-5567	698	10	set	set	VERB
ejpam-5567	698	11	operations	operation	NOUN
ejpam-5567	698	12	and	and	CCONJ
ejpam-5567	698	13	properties	property	NOUN
ejpam-5567	698	14	to	to	PART
ejpam-5567	698	15	illustrate	illustrate	VERB
ejpam-5567	698	16	how	how	SCONJ
ejpam-5567	698	17	these	these	DET
ejpam-5567	698	18	concepts	concept	NOUN
ejpam-5567	698	19	work	work	VERB
ejpam-5567	698	20	in	in	ADP
ejpam-5567	698	21	practice	practice	NOUN
ejpam-5567	698	22	.	.	PUNCT
ejpam-5567	699	1	these	these	DET
ejpam-5567	699	2	examples	example	NOUN
ejpam-5567	699	3	help	help	VERB
ejpam-5567	699	4	establish	establish	VERB
ejpam-5567	699	5	the	the	DET
ejpam-5567	699	6	foundational	foundational	ADJ
ejpam-5567	699	7	ideas	idea	NOUN
ejpam-5567	699	8	of	of	ADP
ejpam-5567	699	9	binary	binary	ADJ
ejpam-5567	699	10	soft	soft	ADJ
ejpam-5567	699	11	sets	set	NOUN
ejpam-5567	699	12	and	and	CCONJ
ejpam-5567	699	13	their	their	PRON
ejpam-5567	699	14	applications	application	NOUN
ejpam-5567	699	15	.	.	PUNCT
ejpam-5567	700	1	provides	provide	VERB
ejpam-5567	700	2	detailed	detailed	ADJ
ejpam-5567	700	3	examples	example	NOUN
ejpam-5567	700	4	of	of	ADP
ejpam-5567	700	5	ternary	ternary	ADJ
ejpam-5567	700	6	soft	soft	ADJ
ejpam-5567	700	7	set	set	NOUN
ejpam-5567	700	8	operations	operation	NOUN
ejpam-5567	700	9	and	and	CCONJ
ejpam-5567	700	10	explores	explore	VERB
ejpam-5567	700	11	the	the	DET
ejpam-5567	700	12	relationships	relationship	NOUN
ejpam-5567	700	13	among	among	ADP
ejpam-5567	700	14	ternary	ternary	ADJ
ejpam-5567	700	15	soft	soft	ADJ
ejpam-5567	700	16	concepts	concept	NOUN
ejpam-5567	700	17	.	.	PUNCT
ejpam-5567	701	1	it	it	PRON
ejpam-5567	701	2	uses	use	VERB
ejpam-5567	701	3	these	these	DET
ejpam-5567	701	4	examples	example	NOUN
ejpam-5567	701	5	to	to	PART
ejpam-5567	701	6	highlight	highlight	VERB
ejpam-5567	701	7	the	the	DET
ejpam-5567	701	8	practical	practical	ADJ
ejpam-5567	701	9	applications	application	NOUN
ejpam-5567	701	10	and	and	CCONJ
ejpam-5567	701	11	theoretical	theoretical	ADJ
ejpam-5567	701	12	implications	implication	NOUN
ejpam-5567	701	13	of	of	ADP
ejpam-5567	701	14	extending	extend	VERB
ejpam-5567	701	15	soft	soft	ADJ
ejpam-5567	701	16	set	set	NOUN
ejpam-5567	701	17	theory	theory	NOUN
ejpam-5567	701	18	to	to	ADP
ejpam-5567	701	19	three	three	NUM
ejpam-5567	701	20	sets	set	NOUN
ejpam-5567	701	21	.	.	PUNCT
ejpam-5567	702	1	contribution	contribution	NOUN
ejpam-5567	702	2	to	to	ADP
ejpam-5567	702	3	soft	soft	ADJ
ejpam-5567	702	4	set	set	NOUN
ejpam-5567	702	5	theory	theory	NOUN
ejpam-5567	702	6	contributes	contribute	VERB
ejpam-5567	702	7	foundational	foundational	ADJ
ejpam-5567	702	8	knowledge	knowledge	NOUN
ejpam-5567	702	9	to	to	ADP
ejpam-5567	702	10	binary	binary	ADJ
ejpam-5567	702	11	soft	soft	ADJ
ejpam-5567	702	12	set	set	NOUN
ejpam-5567	702	13	theory	theory	NOUN
ejpam-5567	702	14	,	,	PUNCT
ejpam-5567	702	15	including	include	VERB
ejpam-5567	702	16	the	the	DET
ejpam-5567	702	17	introduction	introduction	NOUN
ejpam-5567	702	18	of	of	ADP
ejpam-5567	702	19	basic	basic	ADJ
ejpam-5567	702	20	operations	operation	NOUN
ejpam-5567	702	21	and	and	CCONJ
ejpam-5567	702	22	the	the	DET
ejpam-5567	702	23	concept	concept	NOUN
ejpam-5567	702	24	of	of	ADP
ejpam-5567	702	25	binary	binary	ADJ
ejpam-5567	702	26	soft	soft	ADJ
ejpam-5567	702	27	topology	topology	NOUN
ejpam-5567	702	28	.	.	PUNCT
ejpam-5567	703	1	it	it	PRON
ejpam-5567	703	2	is	be	AUX
ejpam-5567	703	3	a	a	DET
ejpam-5567	703	4	starting	starting	NOUN
ejpam-5567	703	5	point	point	NOUN
ejpam-5567	703	6	for	for	ADP
ejpam-5567	703	7	future	future	ADJ
ejpam-5567	703	8	research	research	NOUN
ejpam-5567	703	9	in	in	ADP
ejpam-5567	703	10	binary	binary	ADJ
ejpam-5567	703	11	contexts	context	NOUN
ejpam-5567	703	12	.	.	PUNCT
ejpam-5567	704	1	significantly	significantly	ADV
ejpam-5567	704	2	advances	advance	VERB
ejpam-5567	704	3	soft	soft	ADJ
ejpam-5567	704	4	set	set	NOUN
ejpam-5567	704	5	theory	theory	NOUN
ejpam-5567	704	6	by	by	ADP
ejpam-5567	704	7	introducing	introduce	VERB
ejpam-5567	704	8	ternary	ternary	ADJ
ejpam-5567	704	9	soft	soft	ADJ
ejpam-5567	704	10	sets	set	NOUN
ejpam-5567	704	11	and	and	CCONJ
ejpam-5567	704	12	expanding	expand	VERB
ejpam-5567	704	13	the	the	DET
ejpam-5567	704	14	topological	topological	ADJ
ejpam-5567	704	15	framework	framework	NOUN
ejpam-5567	704	16	to	to	PART
ejpam-5567	704	17	handle	handle	VERB
ejpam-5567	704	18	more	more	ADJ
ejpam-5567	704	19	complex	complex	ADJ
ejpam-5567	704	20	interactions	interaction	NOUN
ejpam-5567	704	21	.	.	PUNCT
ejpam-5567	705	1	it	it	PRON
ejpam-5567	705	2	offers	offer	VERB
ejpam-5567	705	3	new	new	ADJ
ejpam-5567	705	4	mathematical	mathematical	ADJ
ejpam-5567	705	5	structures	structure	NOUN
ejpam-5567	705	6	and	and	CCONJ
ejpam-5567	705	7	extends	extend	VERB
ejpam-5567	705	8	soft	soft	ADJ
ejpam-5567	705	9	set	set	NOUN
ejpam-5567	705	10	theory	theory	NOUN
ejpam-5567	705	11	to	to	PART
ejpam-5567	705	12	address	address	VERB
ejpam-5567	705	13	more	more	ADJ
ejpam-5567	705	14	multidimensional	multidimensional	ADJ
ejpam-5567	705	15	problems	problem	NOUN
ejpam-5567	705	16	.	.	PUNCT
ejpam-5567	706	1	table	table	NOUN
ejpam-5567	706	2	1	1	NUM
ejpam-5567	706	3	:	:	PUNCT
ejpam-5567	706	4	comparative	comparative	ADJ
ejpam-5567	706	5	analysis	analysis	NOUN
ejpam-5567	706	6	8	8	NUM
ejpam-5567	706	7	.	.	PUNCT
ejpam-5567	707	1	some	some	DET
ejpam-5567	707	2	hereditary	hereditary	ADJ
ejpam-5567	707	3	properties	property	NOUN
ejpam-5567	707	4	,	,	PUNCT
ejpam-5567	707	5	separation	separation	NOUN
ejpam-5567	707	6	axioms	axiom	NOUN
ejpam-5567	707	7	,	,	PUNCT
ejpam-5567	707	8	and	and	CCONJ
ejpam-5567	707	9	other	other	ADJ
ejpam-5567	707	10	related	relate	VERB
ejpam-5567	707	11	axioms	axiom	NOUN
ejpam-5567	707	12	in	in	ADP
ejpam-5567	707	13	this	this	DET
ejpam-5567	707	14	section	section	NOUN
ejpam-5567	707	15	,	,	PUNCT
ejpam-5567	707	16	hereditary	hereditary	ADJ
ejpam-5567	707	17	properties	property	NOUN
ejpam-5567	707	18	,	,	PUNCT
ejpam-5567	707	19	separation	separation	NOUN
ejpam-5567	707	20	axioms	axiom	NOUN
ejpam-5567	707	21	,	,	PUNCT
ejpam-5567	707	22	and	and	CCONJ
ejpam-5567	707	23	other	other	ADJ
ejpam-5567	707	24	related	relate	VERB
ejpam-5567	707	25	axioms	axiom	NOUN
ejpam-5567	707	26	are	be	AUX
ejpam-5567	707	27	discussed	discuss	VERB
ejpam-5567	707	28	.	.	PUNCT
ejpam-5567	708	1	definition	definition	NOUN
ejpam-5567	708	2	34	34	NUM
ejpam-5567	708	3	.	.	PUNCT
ejpam-5567	709	1	let	let	AUX
ejpam-5567	709	2	(	(	PUNCT
ejpam-5567	709	3	f	f	X
ejpam-5567	709	4	,	,	PUNCT
ejpam-5567	709	5	a	a	PRON
ejpam-5567	709	6	)	)	PUNCT
ejpam-5567	709	7	be	be	AUX
ejpam-5567	709	8	any	any	DET
ejpam-5567	709	9	ternary	ternary	ADJ
ejpam-5567	709	10	soft	soft	ADJ
ejpam-5567	709	11	subset	subset	NOUN
ejpam-5567	709	12	of	of	ADP
ejpam-5567	709	13	a	a	DET
ejpam-5567	709	14	ternary	ternary	ADJ
ejpam-5567	709	15	soft	soft	ADJ
ejpam-5567	709	16	topological	topological	ADJ
ejpam-5567	709	17	space	space	NOUN
ejpam-5567	709	18	(	(	PUNCT
ejpam-5567	709	19	u1	u1	NOUN
ejpam-5567	709	20	,	,	PUNCT
ejpam-5567	709	21	u2	u2	NOUN
ejpam-5567	709	22	,	,	PUNCT
ejpam-5567	709	23	u3	u3	NOUN
ejpam-5567	709	24	,	,	PUNCT
ejpam-5567	709	25	τ∆	τ∆	NOUN
ejpam-5567	709	26	,	,	PUNCT
ejpam-5567	709	27	e	e	NOUN
ejpam-5567	709	28	)	)	PUNCT
ejpam-5567	709	29	.	.	PUNCT
ejpam-5567	710	1	then	then	ADV
ejpam-5567	710	2	(	(	PUNCT
ejpam-5567	710	3	f	f	X
ejpam-5567	710	4	,	,	PUNCT
ejpam-5567	710	5	a	a	PRON
ejpam-5567	710	6	)	)	PUNCT
ejpam-5567	710	7	is	be	AUX
ejpam-5567	710	8	called	call	VERB
ejpam-5567	710	9	:	:	PUNCT
ejpam-5567	710	10	(	(	PUNCT
ejpam-5567	710	11	i	i	NOUN
ejpam-5567	710	12	)	)	PUNCT
ejpam-5567	710	13	(	(	PUNCT
ejpam-5567	710	14	f	f	X
ejpam-5567	710	15	,	,	PUNCT
ejpam-5567	710	16	a	a	PRON
ejpam-5567	710	17	)	)	PUNCT
ejpam-5567	710	18	ternary	ternary	ADJ
ejpam-5567	710	19	soft	soft	ADJ
ejpam-5567	710	20	s	s	NOUN
ejpam-5567	710	21	-	-	ADJ
ejpam-5567	710	22	open	open	ADJ
ejpam-5567	710	23	set	set	NOUN
ejpam-5567	710	24	of	of	ADP
ejpam-5567	710	25	(	(	PUNCT
ejpam-5567	710	26	u1	u1	PROPN
ejpam-5567	710	27	,	,	PUNCT
ejpam-5567	710	28	u2	u2	NOUN
ejpam-5567	710	29	,	,	PUNCT
ejpam-5567	710	30	u3	u3	NOUN
ejpam-5567	710	31	,	,	PUNCT
ejpam-5567	710	32	τ∆	τ∆	NOUN
ejpam-5567	710	33	,	,	PUNCT
ejpam-5567	710	34	e	e	NOUN
ejpam-5567	710	35	)	)	PUNCT
ejpam-5567	710	36	if	if	SCONJ
ejpam-5567	710	37	(	(	PUNCT
ejpam-5567	710	38	f	f	X
ejpam-5567	710	39	,	,	PUNCT
ejpam-5567	710	40	a	a	PRON
ejpam-5567	710	41	)	)	PUNCT
ejpam-5567	710	42	⊆	⊆	NUM
ejpam-5567	710	43	cl(int((f	cl(int((f	NOUN
ejpam-5567	710	44	,	,	PUNCT
ejpam-5567	710	45	a	a	PRON
ejpam-5567	710	46	)	)	PUNCT
ejpam-5567	710	47	)	)	PUNCT
ejpam-5567	710	48	)	)	PUNCT
ejpam-5567	710	49	.	.	PUNCT
ejpam-5567	711	1	(	(	PUNCT
ejpam-5567	711	2	ii	ii	NOUN
ejpam-5567	711	3	)	)	PUNCT
ejpam-5567	711	4	(	(	PUNCT
ejpam-5567	711	5	f	f	X
ejpam-5567	711	6	,	,	PUNCT
ejpam-5567	711	7	a	a	PRON
ejpam-5567	711	8	)	)	PUNCT
ejpam-5567	711	9	ternary	ternary	ADJ
ejpam-5567	711	10	soft	soft	ADJ
ejpam-5567	711	11	s	s	NOUN
ejpam-5567	711	12	-	-	PUNCT
ejpam-5567	711	13	closed	closed	ADJ
ejpam-5567	711	14	set	set	NOUN
ejpam-5567	711	15	of	of	ADP
ejpam-5567	711	16	(	(	PUNCT
ejpam-5567	711	17	u1	u1	PROPN
ejpam-5567	711	18	,	,	PUNCT
ejpam-5567	711	19	u2	u2	NOUN
ejpam-5567	711	20	,	,	PUNCT
ejpam-5567	711	21	u3	u3	NOUN
ejpam-5567	711	22	,	,	PUNCT
ejpam-5567	711	23	τ∆	τ∆	NOUN
ejpam-5567	711	24	,	,	PUNCT
ejpam-5567	711	25	e	e	NOUN
ejpam-5567	711	26	)	)	PUNCT
ejpam-5567	711	27	if	if	SCONJ
ejpam-5567	711	28	(	(	PUNCT
ejpam-5567	711	29	f	f	X
ejpam-5567	711	30	,	,	PUNCT
ejpam-5567	711	31	a	a	PRON
ejpam-5567	711	32	)	)	PUNCT
ejpam-5567	711	33	⊇	⊇	PROPN
ejpam-5567	711	34	int(cl((f	int(cl((f	PROPN
ejpam-5567	711	35	,	,	PUNCT
ejpam-5567	711	36	a	a	PRON
ejpam-5567	711	37	)	)	PUNCT
ejpam-5567	711	38	)	)	PUNCT
ejpam-5567	711	39	)	)	PUNCT
ejpam-5567	711	40	.	.	PUNCT
ejpam-5567	712	1	m.	m.	NOUN
ejpam-5567	712	2	nawaz	nawaz	PROPN
ejpam-5567	712	3	et	et	PROPN
ejpam-5567	712	4	al	al	PROPN
ejpam-5567	712	5	.	.	PUNCT
ejpam-5567	712	6	/	/	SYM
ejpam-5567	712	7	eur	eur	PROPN
ejpam-5567	712	8	.	.	PUNCT
ejpam-5567	713	1	j.	j.	PROPN
ejpam-5567	713	2	pure	pure	PROPN
ejpam-5567	713	3	appl	appl	PROPN
ejpam-5567	713	4	.	.	PROPN
ejpam-5567	713	5	math	math	PROPN
ejpam-5567	713	6	,	,	PUNCT
ejpam-5567	713	7	18	18	NUM
ejpam-5567	713	8	(	(	PUNCT
ejpam-5567	713	9	1	1	NUM
ejpam-5567	713	10	)	)	PUNCT
ejpam-5567	713	11	(	(	PUNCT
ejpam-5567	713	12	2025	2025	NUM
ejpam-5567	713	13	)	)	PUNCT
ejpam-5567	713	14	,	,	PUNCT
ejpam-5567	713	15	5567	5567	NUM
ejpam-5567	713	16	31	31	NUM
ejpam-5567	713	17	of	of	ADP
ejpam-5567	713	18	45	45	NUM
ejpam-5567	713	19	proposition	proposition	NOUN
ejpam-5567	713	20	6	6	NUM
ejpam-5567	713	21	.	.	PUNCT
ejpam-5567	714	1	let	let	AUX
ejpam-5567	714	2	(	(	PUNCT
ejpam-5567	714	3	u1	u1	NOUN
ejpam-5567	714	4	,	,	PUNCT
ejpam-5567	714	5	u2	u2	NOUN
ejpam-5567	714	6	,	,	PUNCT
ejpam-5567	714	7	u3	u3	NOUN
ejpam-5567	714	8	,	,	PUNCT
ejpam-5567	714	9	τ∆	τ∆	NOUN
ejpam-5567	714	10	,	,	PUNCT
ejpam-5567	714	11	e	e	X
ejpam-5567	714	12	)	)	PUNCT
ejpam-5567	714	13	be	be	AUX
ejpam-5567	714	14	a	a	DET
ejpam-5567	714	15	ternary	ternary	ADJ
ejpam-5567	714	16	soft	soft	ADJ
ejpam-5567	714	17	topological	topological	ADJ
ejpam-5567	714	18	space	space	NOUN
ejpam-5567	714	19	on	on	ADP
ejpam-5567	714	20	x̃	x̃	PROPN
ejpam-5567	714	21	over	over	ADP
ejpam-5567	714	22	(	(	PUNCT
ejpam-5567	714	23	u1×u2×u3	u1×u2×u3	PROPN
ejpam-5567	714	24	)	)	PUNCT
ejpam-5567	714	25	,	,	PUNCT
ejpam-5567	714	26	and	and	CCONJ
ejpam-5567	714	27	ỹ	ỹ	PROPN
ejpam-5567	714	28	be	be	VERB
ejpam-5567	714	29	a	a	DET
ejpam-5567	714	30	non	non	ADJ
ejpam-5567	714	31	-	-	ADJ
ejpam-5567	714	32	empty	empty	ADJ
ejpam-5567	714	33	ternary	ternary	ADJ
ejpam-5567	714	34	soft	soft	ADJ
ejpam-5567	714	35	subset	subset	NOUN
ejpam-5567	714	36	of	of	ADP
ejpam-5567	714	37	˜̃	˜̃	NOUN
ejpam-5567	714	38	x.	x.	NOUN
ejpam-5567	714	39	then	then	ADV
ejpam-5567	714	40	(	(	PUNCT
ejpam-5567	714	41	u1	u1	PROPN
ejpam-5567	714	42	,	,	PUNCT
ejpam-5567	714	43	u2	u2	NOUN
ejpam-5567	714	44	,	,	PUNCT
ejpam-5567	714	45	u3	u3	NOUN
ejpam-5567	714	46	,	,	PUNCT
ejpam-5567	714	47	τ∆y	τ∆y	VERB
ejpam-5567	714	48	,	,	PUNCT
ejpam-5567	714	49	α	α	X
ejpam-5567	714	50	)	)	PUNCT
ejpam-5567	714	51	is	be	AUX
ejpam-5567	714	52	a	a	DET
ejpam-5567	714	53	subspace	subspace	NOUN
ejpam-5567	714	54	of	of	ADP
ejpam-5567	714	55	(	(	PUNCT
ejpam-5567	714	56	u1	u1	PROPN
ejpam-5567	714	57	,	,	PUNCT
ejpam-5567	714	58	u2	u2	NOUN
ejpam-5567	714	59	,	,	PUNCT
ejpam-5567	714	60	u3	u3	NOUN
ejpam-5567	714	61	,	,	PUNCT
ejpam-5567	714	62	τ∆y	τ∆y	NOUN
ejpam-5567	714	63	,	,	PUNCT
ejpam-5567	714	64	e	e	X
ejpam-5567	714	65	)	)	PUNCT
ejpam-5567	714	66	for	for	ADP
ejpam-5567	714	67	each	each	DET
ejpam-5567	714	68	α˜̃∈ẽ.	α˜̃∈ẽ.	NUM
ejpam-5567	714	69	proof	proof	NOUN
ejpam-5567	714	70	.	.	PUNCT
ejpam-5567	715	1	let	let	VERB
ejpam-5567	715	2	(	(	PUNCT
ejpam-5567	715	3	u1	u1	NOUN
ejpam-5567	715	4	,	,	PUNCT
ejpam-5567	715	5	u2	u2	NOUN
ejpam-5567	715	6	,	,	PUNCT
ejpam-5567	715	7	u3	u3	NOUN
ejpam-5567	715	8	,	,	PUNCT
ejpam-5567	715	9	τ∆y	τ∆y	VERB
ejpam-5567	715	10	,	,	PUNCT
ejpam-5567	715	11	α	α	X
ejpam-5567	715	12	)	)	PUNCT
ejpam-5567	715	13	be	be	VERB
ejpam-5567	715	14	a	a	DET
ejpam-5567	715	15	ternary	ternary	ADJ
ejpam-5567	715	16	soft	soft	ADJ
ejpam-5567	715	17	topological	topological	ADJ
ejpam-5567	715	18	space	space	NOUN
ejpam-5567	715	19	for	for	ADP
ejpam-5567	715	20	each	each	DET
ejpam-5567	715	21	α	α	PROPN
ejpam-5567	715	22	∈	∈	PROPN
ejpam-5567	715	23	e.	e.	PROPN
ejpam-5567	715	24	now	now	ADV
ejpam-5567	715	25	,	,	PUNCT
ejpam-5567	715	26	by	by	ADP
ejpam-5567	715	27	definition	definition	NOUN
ejpam-5567	715	28	,	,	PUNCT
ejpam-5567	715	29	for	for	ADP
ejpam-5567	715	30	any	any	DET
ejpam-5567	715	31	α	α	NOUN
ejpam-5567	715	32	∈	∈	ADJ
ejpam-5567	715	33	e	e	NOUN
ejpam-5567	715	34	:	:	PUNCT
ejpam-5567	715	35	τ∆y	τ∆y	VERB
ejpam-5567	716	1	=	=	PRON
ejpam-5567	716	2	{	{	PUNCT
ejpam-5567	716	3	y	y	PROPN
ejpam-5567	716	4	f	f	PROPN
ejpam-5567	716	5	(	(	PUNCT
ejpam-5567	716	6	α)/(f	α)/(f	PROPN
ejpam-5567	716	7	,	,	PUNCT
ejpam-5567	716	8	e	e	NOUN
ejpam-5567	716	9	)	)	PUNCT
ejpam-5567	716	10	is	be	AUX
ejpam-5567	716	11	ternary	ternary	ADJ
ejpam-5567	716	12	soft	soft	ADJ
ejpam-5567	716	13	s	s	NOUN
ejpam-5567	716	14	-	-	ADJ
ejpam-5567	716	15	open	open	ADJ
ejpam-5567	716	16	set	set	NOUN
ejpam-5567	716	17	}	}	PUNCT
ejpam-5567	716	18	=	=	SYM
ejpam-5567	716	19	{	{	PUNCT
ejpam-5567	716	20	˜̃y	˜̃y	PROPN
ejpam-5567	716	21	∩	∩	PROPN
ejpam-5567	716	22	f	f	X
ejpam-5567	716	23	(	(	PUNCT
ejpam-5567	716	24	α)/(f	α)/(f	PROPN
ejpam-5567	716	25	,	,	PUNCT
ejpam-5567	716	26	e	e	NOUN
ejpam-5567	716	27	)	)	PUNCT
ejpam-5567	716	28	is	be	AUX
ejpam-5567	716	29	ternary	ternary	ADJ
ejpam-5567	716	30	soft	soft	ADJ
ejpam-5567	716	31	s	s	NOUN
ejpam-5567	716	32	-	-	ADJ
ejpam-5567	716	33	open	open	ADJ
ejpam-5567	716	34	set	set	NOUN
ejpam-5567	716	35	}	}	PUNCT
ejpam-5567	716	36	=	=	SYM
ejpam-5567	716	37	{	{	PUNCT
ejpam-5567	716	38	˜̃y	˜̃y	PROPN
ejpam-5567	716	39	∩	∩	PROPN
ejpam-5567	716	40	f	f	X
ejpam-5567	716	41	(	(	PUNCT
ejpam-5567	716	42	α)/f	α)/f	PROPN
ejpam-5567	716	43	(	(	PUNCT
ejpam-5567	716	44	α	α	X
ejpam-5567	716	45	)	)	PUNCT
ejpam-5567	716	46	∈	∈	PROPN
ejpam-5567	716	47	τ∆α	τ∆α	ADV
ejpam-5567	716	48	}	}	PUNCT
ejpam-5567	716	49	.	.	PUNCT
ejpam-5567	717	1	thus	thus	ADV
ejpam-5567	717	2	,	,	PUNCT
ejpam-5567	717	3	(	(	PUNCT
ejpam-5567	717	4	u1	u1	NOUN
ejpam-5567	717	5	,	,	PUNCT
ejpam-5567	717	6	u2	u2	NOUN
ejpam-5567	717	7	,	,	PUNCT
ejpam-5567	717	8	u3	u3	NOUN
ejpam-5567	717	9	,	,	PUNCT
ejpam-5567	717	10	τ∆y	τ∆y	VERB
ejpam-5567	717	11	,	,	PUNCT
ejpam-5567	717	12	α	α	X
ejpam-5567	717	13	)	)	PUNCT
ejpam-5567	717	14	is	be	AUX
ejpam-5567	717	15	a	a	DET
ejpam-5567	717	16	subspace	subspace	NOUN
ejpam-5567	717	17	of	of	ADP
ejpam-5567	717	18	(	(	PUNCT
ejpam-5567	717	19	u1	u1	PROPN
ejpam-5567	717	20	,	,	PUNCT
ejpam-5567	717	21	u2	u2	NOUN
ejpam-5567	717	22	,	,	PUNCT
ejpam-5567	717	23	u3	u3	NOUN
ejpam-5567	717	24	,	,	PUNCT
ejpam-5567	717	25	τ∆	τ∆	PROPN
ejpam-5567	717	26	,	,	PUNCT
ejpam-5567	717	27	α	α	NOUN
ejpam-5567	717	28	)	)	PUNCT
ejpam-5567	717	29	.	.	PUNCT
ejpam-5567	718	1	proposition	proposition	NOUN
ejpam-5567	718	2	7	7	NUM
ejpam-5567	718	3	.	.	PUNCT
ejpam-5567	719	1	let	let	AUX
ejpam-5567	719	2	(	(	PUNCT
ejpam-5567	719	3	u1	u1	NOUN
ejpam-5567	719	4	,	,	PUNCT
ejpam-5567	719	5	u2	u2	NOUN
ejpam-5567	719	6	,	,	PUNCT
ejpam-5567	719	7	u3	u3	NOUN
ejpam-5567	719	8	,	,	PUNCT
ejpam-5567	719	9	τ∆y	τ∆y	NOUN
ejpam-5567	719	10	,	,	PUNCT
ejpam-5567	719	11	e	e	X
ejpam-5567	719	12	)	)	PUNCT
ejpam-5567	719	13	be	be	AUX
ejpam-5567	719	14	a	a	DET
ejpam-5567	719	15	ternary	ternary	ADJ
ejpam-5567	719	16	soft	soft	ADJ
ejpam-5567	719	17	subspace	subspace	NOUN
ejpam-5567	719	18	of	of	ADP
ejpam-5567	719	19	a	a	DET
ejpam-5567	719	20	ternary	ternary	ADJ
ejpam-5567	719	21	soft	soft	ADJ
ejpam-5567	719	22	topological	topological	ADJ
ejpam-5567	719	23	space	space	NOUN
ejpam-5567	719	24	(	(	PUNCT
ejpam-5567	719	25	u1	u1	NOUN
ejpam-5567	719	26	,	,	PUNCT
ejpam-5567	719	27	u2	u2	NOUN
ejpam-5567	719	28	,	,	PUNCT
ejpam-5567	719	29	u3	u3	NOUN
ejpam-5567	719	30	,	,	PUNCT
ejpam-5567	719	31	τ∆	τ∆	NOUN
ejpam-5567	719	32	,	,	PUNCT
ejpam-5567	719	33	e	e	NOUN
ejpam-5567	719	34	)	)	PUNCT
ejpam-5567	719	35	and	and	CCONJ
ejpam-5567	719	36	(	(	PUNCT
ejpam-5567	719	37	g	g	NOUN
ejpam-5567	719	38	,	,	PUNCT
ejpam-5567	719	39	e	e	NOUN
ejpam-5567	719	40	)	)	PUNCT
ejpam-5567	719	41	be	be	AUX
ejpam-5567	719	42	a	a	DET
ejpam-5567	719	43	ternary	ternary	ADJ
ejpam-5567	719	44	soft	soft	ADJ
ejpam-5567	719	45	s	s	NOUN
ejpam-5567	719	46	-	-	ADJ
ejpam-5567	719	47	open	open	ADJ
ejpam-5567	719	48	set	set	NOUN
ejpam-5567	719	49	in	in	ADP
ejpam-5567	719	50	ỹ	ỹ	PROPN
ejpam-5567	719	51	.	.	PUNCT
ejpam-5567	720	1	if˜̃	if˜̃	PROPN
ejpam-5567	720	2	y	y	PROPN
ejpam-5567	720	3	∈	∈	PROPN
ejpam-5567	720	4	τ∆	τ∆	NOUN
ejpam-5567	720	5	,	,	PUNCT
ejpam-5567	720	6	then	then	ADV
ejpam-5567	720	7	(	(	PUNCT
ejpam-5567	720	8	g	g	NOUN
ejpam-5567	720	9	,	,	PUNCT
ejpam-5567	720	10	e	e	NOUN
ejpam-5567	720	11	)	)	PUNCT
ejpam-5567	720	12	∈	∈	NOUN
ejpam-5567	720	13	τ∆.	τ∆.	NOUN
ejpam-5567	720	14	proof	proof	NOUN
ejpam-5567	720	15	.	.	PUNCT
ejpam-5567	721	1	let	let	AUX
ejpam-5567	721	2	(	(	PUNCT
ejpam-5567	721	3	g	g	NOUN
ejpam-5567	721	4	,	,	PUNCT
ejpam-5567	721	5	e	e	NOUN
ejpam-5567	721	6	)	)	PUNCT
ejpam-5567	721	7	be	be	AUX
ejpam-5567	721	8	a	a	DET
ejpam-5567	721	9	ternary	ternary	ADJ
ejpam-5567	721	10	soft	soft	ADJ
ejpam-5567	721	11	s	s	NOUN
ejpam-5567	721	12	-	-	ADJ
ejpam-5567	721	13	open	open	ADJ
ejpam-5567	721	14	set	set	NOUN
ejpam-5567	721	15	in	in	ADP
ejpam-5567	721	16	˜̃	˜̃	NOUN
ejpam-5567	721	17	y	y	PROPN
ejpam-5567	721	18	,	,	PUNCT
ejpam-5567	721	19	then	then	ADV
ejpam-5567	721	20	there	there	PRON
ejpam-5567	721	21	exists	exist	VERB
ejpam-5567	721	22	a	a	DET
ejpam-5567	721	23	ternary	ternary	ADJ
ejpam-5567	721	24	soft	soft	ADJ
ejpam-5567	721	25	s	s	NOUN
ejpam-5567	721	26	-	-	ADJ
ejpam-5567	721	27	open	open	ADJ
ejpam-5567	721	28	set	set	NOUN
ejpam-5567	721	29	(	(	PUNCT
ejpam-5567	721	30	h	h	NOUN
ejpam-5567	721	31	,	,	PUNCT
ejpam-5567	721	32	e	e	NOUN
ejpam-5567	721	33	)	)	PUNCT
ejpam-5567	721	34	in	in	ADP
ejpam-5567	721	35	˜̃	˜̃	NOUN
ejpam-5567	721	36	x	x	SYM
ejpam-5567	721	37	over	over	ADP
ejpam-5567	721	38	(	(	PUNCT
ejpam-5567	721	39	u1	u1	NOUN
ejpam-5567	721	40	×	×	PROPN
ejpam-5567	721	41	u2	u2	PROPN
ejpam-5567	721	42	×	×	PROPN
ejpam-5567	721	43	u3	u3	NOUN
ejpam-5567	721	44	)	)	PUNCT
ejpam-5567	721	45	such	such	ADJ
ejpam-5567	721	46	that	that	SCONJ
ejpam-5567	721	47	(	(	PUNCT
ejpam-5567	721	48	g	g	NOUN
ejpam-5567	721	49	,	,	PUNCT
ejpam-5567	721	50	e	e	NOUN
ejpam-5567	721	51	)	)	PUNCT
ejpam-5567	721	52	=	=	SYM
ejpam-5567	721	53	˜̃	˜̃	NOUN
ejpam-5567	721	54	y	y	PROPN
ejpam-5567	721	55	∩	∩	X
ejpam-5567	721	56	(	(	PUNCT
ejpam-5567	721	57	h	h	NOUN
ejpam-5567	721	58	,	,	PUNCT
ejpam-5567	721	59	e	e	NOUN
ejpam-5567	721	60	)	)	PUNCT
ejpam-5567	721	61	.	.	PUNCT
ejpam-5567	722	1	now	now	ADV
ejpam-5567	722	2	,	,	PUNCT
ejpam-5567	722	3	if	if	SCONJ
ejpam-5567	722	4	˜̃	˜̃	NOUN
ejpam-5567	722	5	y	y	PROPN
ejpam-5567	722	6	∈	∈	PROPN
ejpam-5567	722	7	τ∆	τ∆	NOUN
ejpam-5567	722	8	,	,	PUNCT
ejpam-5567	722	9	then	then	ADV
ejpam-5567	722	10	ỹ	ỹ	PROPN
ejpam-5567	722	11	∩	∩	NOUN
ejpam-5567	722	12	(	(	PUNCT
ejpam-5567	722	13	h	h	NOUN
ejpam-5567	722	14	,	,	PUNCT
ejpam-5567	722	15	e	e	NOUN
ejpam-5567	722	16	)	)	PUNCT
ejpam-5567	722	17	∈	∈	NOUN
ejpam-5567	722	18	τ∆	τ∆	PUNCT
ejpam-5567	722	19	by	by	ADP
ejpam-5567	722	20	the	the	DET
ejpam-5567	722	21	third	third	ADJ
ejpam-5567	722	22	axiom	axiom	NOUN
ejpam-5567	722	23	of	of	ADP
ejpam-5567	722	24	the	the	DET
ejpam-5567	722	25	definition	definition	NOUN
ejpam-5567	722	26	of	of	ADP
ejpam-5567	722	27	a	a	DET
ejpam-5567	722	28	ternary	ternary	ADJ
ejpam-5567	722	29	soft	soft	ADJ
ejpam-5567	722	30	topological	topological	ADJ
ejpam-5567	722	31	space	space	NOUN
ejpam-5567	722	32	,	,	PUNCT
ejpam-5567	722	33	and	and	CCONJ
ejpam-5567	722	34	hence	hence	ADV
ejpam-5567	722	35	(	(	PUNCT
ejpam-5567	722	36	g	g	NOUN
ejpam-5567	722	37	,	,	PUNCT
ejpam-5567	722	38	e	e	NOUN
ejpam-5567	722	39	)	)	PUNCT
ejpam-5567	722	40	∈	∈	NOUN
ejpam-5567	722	41	τ∆.	τ∆.	PROPN
ejpam-5567	722	42	proposition	proposition	NOUN
ejpam-5567	722	43	8	8	NUM
ejpam-5567	722	44	.	.	PUNCT
ejpam-5567	723	1	let	let	AUX
ejpam-5567	723	2	(	(	PUNCT
ejpam-5567	723	3	u1	u1	NOUN
ejpam-5567	723	4	,	,	PUNCT
ejpam-5567	723	5	u2	u2	NOUN
ejpam-5567	723	6	,	,	PUNCT
ejpam-5567	723	7	u3	u3	NOUN
ejpam-5567	723	8	,	,	PUNCT
ejpam-5567	723	9	τ∆y	τ∆y	NOUN
ejpam-5567	723	10	,	,	PUNCT
ejpam-5567	723	11	e	e	X
ejpam-5567	723	12	)	)	PUNCT
ejpam-5567	723	13	be	be	AUX
ejpam-5567	723	14	a	a	DET
ejpam-5567	723	15	ternary	ternary	ADJ
ejpam-5567	723	16	soft	soft	ADJ
ejpam-5567	723	17	subspace	subspace	NOUN
ejpam-5567	723	18	of	of	ADP
ejpam-5567	723	19	a	a	DET
ejpam-5567	723	20	ternary	ternary	ADJ
ejpam-5567	723	21	soft	soft	ADJ
ejpam-5567	723	22	topological	topological	ADJ
ejpam-5567	723	23	space	space	NOUN
ejpam-5567	723	24	(	(	PUNCT
ejpam-5567	723	25	u1	u1	NOUN
ejpam-5567	723	26	,	,	PUNCT
ejpam-5567	723	27	u2	u2	NOUN
ejpam-5567	723	28	,	,	PUNCT
ejpam-5567	723	29	u3	u3	NOUN
ejpam-5567	723	30	,	,	PUNCT
ejpam-5567	723	31	τ∆	τ∆	NOUN
ejpam-5567	723	32	,	,	PUNCT
ejpam-5567	723	33	e	e	NOUN
ejpam-5567	723	34	)	)	PUNCT
ejpam-5567	723	35	and	and	CCONJ
ejpam-5567	723	36	(	(	PUNCT
ejpam-5567	723	37	g	g	NOUN
ejpam-5567	723	38	,	,	PUNCT
ejpam-5567	723	39	e	e	NOUN
ejpam-5567	723	40	)	)	PUNCT
ejpam-5567	723	41	be	be	AUX
ejpam-5567	723	42	a	a	DET
ejpam-5567	723	43	ternary	ternary	ADJ
ejpam-5567	723	44	soft	soft	ADJ
ejpam-5567	723	45	s	s	NOUN
ejpam-5567	723	46	-	-	ADJ
ejpam-5567	723	47	open	open	ADJ
ejpam-5567	723	48	set	set	NOUN
ejpam-5567	723	49	of	of	ADP
ejpam-5567	723	50	˜̃	˜̃	NOUN
ejpam-5567	723	51	x	x	SYM
ejpam-5567	723	52	over	over	ADP
ejpam-5567	723	53	(	(	PUNCT
ejpam-5567	723	54	u1	u1	NOUN
ejpam-5567	723	55	×	×	PROPN
ejpam-5567	723	56	u2	u2	PROPN
ejpam-5567	723	57	×	×	PROPN
ejpam-5567	723	58	u3	u3	PROPN
ejpam-5567	723	59	)	)	PUNCT
ejpam-5567	723	60	,	,	PUNCT
ejpam-5567	723	61	then	then	ADV
ejpam-5567	723	62	:	:	PUNCT
ejpam-5567	723	63	(	(	PUNCT
ejpam-5567	723	64	i	i	NOUN
ejpam-5567	723	65	)	)	PUNCT
ejpam-5567	723	66	(	(	PUNCT
ejpam-5567	723	67	g	g	NOUN
ejpam-5567	723	68	,	,	PUNCT
ejpam-5567	723	69	e	e	NOUN
ejpam-5567	723	70	)	)	PUNCT
ejpam-5567	723	71	is	be	AUX
ejpam-5567	723	72	ternary	ternary	ADJ
ejpam-5567	723	73	soft	soft	ADJ
ejpam-5567	723	74	s	s	NOUN
ejpam-5567	723	75	-	-	ADJ
ejpam-5567	723	76	open	open	ADJ
ejpam-5567	723	77	in	in	ADP
ejpam-5567	723	78	˜̃	˜̃	NOUN
ejpam-5567	723	79	y	y	PROPN
ejpam-5567	723	80	if	if	SCONJ
ejpam-5567	724	1	and	and	CCONJ
ejpam-5567	724	2	only	only	ADV
ejpam-5567	724	3	if	if	SCONJ
ejpam-5567	724	4	(	(	PUNCT
ejpam-5567	724	5	g	g	NOUN
ejpam-5567	724	6	,	,	PUNCT
ejpam-5567	724	7	e	e	NOUN
ejpam-5567	724	8	)	)	PUNCT
ejpam-5567	724	9	=	=	SYM
ejpam-5567	724	10	˜̃	˜̃	NOUN
ejpam-5567	724	11	y	y	PROPN
ejpam-5567	724	12	˜̃∩(h	˜̃∩(h	PROPN
ejpam-5567	724	13	,	,	PUNCT
ejpam-5567	724	14	e	e	NOUN
ejpam-5567	724	15	)	)	PUNCT
ejpam-5567	724	16	for	for	ADP
ejpam-5567	724	17	some	some	PRON
ejpam-5567	724	18	(	(	PUNCT
ejpam-5567	724	19	h	h	NOUN
ejpam-5567	724	20	,	,	PUNCT
ejpam-5567	724	21	e	e	NOUN
ejpam-5567	724	22	)	)	PUNCT
ejpam-5567	724	23	∈	∈	PROPN
ejpam-5567	724	24	τ∆.	τ∆.	PROPN
ejpam-5567	724	25	(	(	PUNCT
ejpam-5567	724	26	ii	ii	PROPN
ejpam-5567	724	27	)	)	PUNCT
ejpam-5567	724	28	(	(	PUNCT
ejpam-5567	724	29	g	g	NOUN
ejpam-5567	724	30	,	,	PUNCT
ejpam-5567	724	31	e	e	NOUN
ejpam-5567	724	32	)	)	PUNCT
ejpam-5567	724	33	is	be	AUX
ejpam-5567	724	34	ternary	ternary	ADJ
ejpam-5567	724	35	soft	soft	ADJ
ejpam-5567	724	36	s	s	NOUN
ejpam-5567	724	37	-	-	PUNCT
ejpam-5567	724	38	closed	closed	ADJ
ejpam-5567	724	39	in	in	ADP
ejpam-5567	724	40	˜̃	˜̃	NOUN
ejpam-5567	724	41	y	y	PROPN
ejpam-5567	724	42	if	if	SCONJ
ejpam-5567	724	43	and	and	CCONJ
ejpam-5567	724	44	only	only	ADV
ejpam-5567	724	45	if	if	SCONJ
ejpam-5567	724	46	(	(	PUNCT
ejpam-5567	724	47	g	g	NOUN
ejpam-5567	724	48	,	,	PUNCT
ejpam-5567	724	49	e	e	NOUN
ejpam-5567	724	50	)	)	PUNCT
ejpam-5567	724	51	=	=	SYM
ejpam-5567	724	52	˜̃	˜̃	NOUN
ejpam-5567	724	53	y	y	PROPN
ejpam-5567	724	54	˜̃∩(h	˜̃∩(h	PROPN
ejpam-5567	724	55	,	,	PUNCT
ejpam-5567	724	56	e	e	NOUN
ejpam-5567	724	57	)	)	PUNCT
ejpam-5567	724	58	for	for	ADP
ejpam-5567	724	59	some	some	DET
ejpam-5567	724	60	ternary	ternary	ADJ
ejpam-5567	724	61	soft	soft	ADJ
ejpam-5567	724	62	s	s	NOUN
ejpam-5567	724	63	-	-	PUNCT
ejpam-5567	724	64	closed	closed	ADJ
ejpam-5567	724	65	set	set	NOUN
ejpam-5567	724	66	(	(	PUNCT
ejpam-5567	724	67	h	h	NOUN
ejpam-5567	724	68	,	,	PUNCT
ejpam-5567	724	69	e	e	NOUN
ejpam-5567	724	70	)	)	PUNCT
ejpam-5567	724	71	in	in	ADP
ejpam-5567	724	72	˜̃	˜̃	NOUN
ejpam-5567	724	73	x	x	SYM
ejpam-5567	724	74	over	over	ADP
ejpam-5567	724	75	(	(	PUNCT
ejpam-5567	724	76	u1	u1	NOUN
ejpam-5567	724	77	×	×	PROPN
ejpam-5567	724	78	u2	u2	PROPN
ejpam-5567	724	79	×	×	PROPN
ejpam-5567	724	80	u3	u3	PROPN
ejpam-5567	724	81	)	)	PUNCT
ejpam-5567	724	82	.	.	PUNCT
ejpam-5567	725	1	proof	proof	NOUN
ejpam-5567	725	2	.	.	PUNCT
ejpam-5567	726	1	(	(	PUNCT
ejpam-5567	726	2	i	i	NOUN
ejpam-5567	726	3	)	)	PUNCT
ejpam-5567	726	4	follows	follow	VERB
ejpam-5567	726	5	from	from	ADP
ejpam-5567	726	6	the	the	DET
ejpam-5567	726	7	definition	definition	NOUN
ejpam-5567	726	8	of	of	ADP
ejpam-5567	726	9	a	a	DET
ejpam-5567	726	10	ternary	ternary	ADJ
ejpam-5567	726	11	soft	soft	ADJ
ejpam-5567	726	12	subspace	subspace	NOUN
ejpam-5567	726	13	.	.	PUNCT
ejpam-5567	727	1	(	(	PUNCT
ejpam-5567	727	2	ii	ii	NOUN
ejpam-5567	727	3	)	)	PUNCT
ejpam-5567	727	4	if	if	SCONJ
ejpam-5567	727	5	(	(	PUNCT
ejpam-5567	727	6	g	g	NOUN
ejpam-5567	727	7	,	,	PUNCT
ejpam-5567	727	8	e	e	NOUN
ejpam-5567	727	9	)	)	PUNCT
ejpam-5567	727	10	is	be	AUX
ejpam-5567	727	11	ternary	ternary	ADJ
ejpam-5567	727	12	soft	soft	ADJ
ejpam-5567	727	13	s	s	NOUN
ejpam-5567	727	14	-	-	PUNCT
ejpam-5567	727	15	closed	closed	ADJ
ejpam-5567	727	16	in	in	ADP
ejpam-5567	727	17	˜̃	˜̃	NOUN
ejpam-5567	727	18	y	y	PROPN
ejpam-5567	727	19	,	,	PUNCT
ejpam-5567	727	20	then	then	ADV
ejpam-5567	727	21	we	we	PRON
ejpam-5567	727	22	have	have	VERB
ejpam-5567	727	23	(	(	PUNCT
ejpam-5567	727	24	g	g	NOUN
ejpam-5567	727	25	,	,	PUNCT
ejpam-5567	727	26	e	e	NOUN
ejpam-5567	727	27	)	)	PUNCT
ejpam-5567	727	28	=	=	SYM
ejpam-5567	728	1	˜̃	˜̃	NOUN
ejpam-5567	728	2	y	y	PROPN
ejpam-5567	728	3	−	−	PROPN
ejpam-5567	728	4	(	(	PUNCT
ejpam-5567	728	5	h	h	NOUN
ejpam-5567	728	6	,	,	PUNCT
ejpam-5567	728	7	e	e	NOUN
ejpam-5567	728	8	)	)	PUNCT
ejpam-5567	728	9	,	,	PUNCT
ejpam-5567	728	10	for	for	ADP
ejpam-5567	728	11	some	some	DET
ejpam-5567	728	12	ternary	ternary	ADJ
ejpam-5567	728	13	soft	soft	ADJ
ejpam-5567	728	14	s	s	NOUN
ejpam-5567	728	15	-	-	ADJ
ejpam-5567	728	16	open	open	ADJ
ejpam-5567	728	17	(	(	PUNCT
ejpam-5567	728	18	h	h	NOUN
ejpam-5567	728	19	,	,	PUNCT
ejpam-5567	728	20	e	e	NOUN
ejpam-5567	728	21	)	)	PUNCT
ejpam-5567	728	22	∈	∈	PROPN
ejpam-5567	728	23	τ∆y	τ∆y	NOUN
ejpam-5567	728	24	.	.	PUNCT
ejpam-5567	729	1	now	now	ADV
ejpam-5567	729	2	(	(	PUNCT
ejpam-5567	729	3	h	h	NOUN
ejpam-5567	729	4	,	,	PUNCT
ejpam-5567	729	5	e	e	NOUN
ejpam-5567	729	6	)	)	PUNCT
ejpam-5567	729	7	=	=	SYM
ejpam-5567	729	8	˜̃	˜̃	NOUN
ejpam-5567	729	9	y	y	PROPN
ejpam-5567	729	10	˜̃∩(h	˜̃∩(h	PROPN
ejpam-5567	729	11	,	,	PUNCT
ejpam-5567	729	12	e	e	NOUN
ejpam-5567	729	13	)	)	PUNCT
ejpam-5567	729	14	for	for	ADP
ejpam-5567	729	15	some	some	DET
ejpam-5567	729	16	ternary	ternary	ADJ
ejpam-5567	729	17	soft	soft	ADJ
ejpam-5567	729	18	s	s	NOUN
ejpam-5567	729	19	-	-	ADJ
ejpam-5567	729	20	open	open	ADJ
ejpam-5567	729	21	(	(	PUNCT
ejpam-5567	729	22	k	k	X
ejpam-5567	729	23	,	,	PUNCT
ejpam-5567	729	24	e	e	NOUN
ejpam-5567	729	25	)	)	PUNCT
ejpam-5567	729	26	∈	∈	PROPN
ejpam-5567	729	27	τ∆.	τ∆.	PROPN
ejpam-5567	729	28	for	for	ADP
ejpam-5567	729	29	any	any	DET
ejpam-5567	729	30	β	β	X
ejpam-5567	729	31	∈	∈	PROPN
ejpam-5567	729	32	e	e	NOUN
ejpam-5567	729	33	,	,	PUNCT
ejpam-5567	729	34	g(β	g(β	NOUN
ejpam-5567	729	35	)	)	PUNCT
ejpam-5567	729	36	=	=	SYM
ejpam-5567	729	37	˜̃	˜̃	NOUN
ejpam-5567	729	38	y	y	PROPN
ejpam-5567	729	39	(	(	PUNCT
ejpam-5567	729	40	β)−h(β	β)−h(β	NOUN
ejpam-5567	729	41	)	)	PUNCT
ejpam-5567	729	42	=	=	SYM
ejpam-5567	729	43	˜̃	˜̃	NOUN
ejpam-5567	729	44	y	y	PROPN
ejpam-5567	729	45	−h(β	−h(β	NOUN
ejpam-5567	729	46	)	)	PUNCT
ejpam-5567	729	47	=	=	SYM
ejpam-5567	730	1	˜̃	˜̃	NOUN
ejpam-5567	730	2	y	y	PROPN
ejpam-5567	730	3	−	−	PROPN
ejpam-5567	730	4	[	[	PUNCT
ejpam-5567	730	5	˜̃	˜̃	NOUN
ejpam-5567	730	6	y	y	PROPN
ejpam-5567	730	7	(	(	PUNCT
ejpam-5567	730	8	β	β	NOUN
ejpam-5567	730	9	)	)	PUNCT
ejpam-5567	730	10	∩k(β	∩k(β	NOUN
ejpam-5567	730	11	)	)	PUNCT
ejpam-5567	730	12	]	]	PUNCT
ejpam-5567	731	1	=	=	PUNCT
ejpam-5567	731	2	˜̃	˜̃	NOUN
ejpam-5567	731	3	y	y	PROPN
ejpam-5567	731	4	−	−	PROPN
ejpam-5567	731	5	[	[	PUNCT
ejpam-5567	731	6	˜̃	˜̃	NOUN
ejpam-5567	731	7	y	y	PROPN
ejpam-5567	731	8	∩k(β	∩k(β	PROPN
ejpam-5567	731	9	)	)	PUNCT
ejpam-5567	731	10	]	]	PUNCT
ejpam-5567	732	1	=	=	PUNCT
ejpam-5567	732	2	˜̃	˜̃	NOUN
ejpam-5567	732	3	y	y	PROPN
ejpam-5567	732	4	−k(β	−k(β	NOUN
ejpam-5567	732	5	)	)	PUNCT
ejpam-5567	732	6	m.	m.	NOUN
ejpam-5567	732	7	nawaz	nawaz	NOUN
ejpam-5567	732	8	et	et	PROPN
ejpam-5567	732	9	al	al	PROPN
ejpam-5567	732	10	.	.	PUNCT
ejpam-5567	732	11	/	/	SYM
ejpam-5567	732	12	eur	eur	PROPN
ejpam-5567	732	13	.	.	PUNCT
ejpam-5567	733	1	j.	j.	PROPN
ejpam-5567	733	2	pure	pure	PROPN
ejpam-5567	733	3	appl	appl	PROPN
ejpam-5567	733	4	.	.	PROPN
ejpam-5567	733	5	math	math	PROPN
ejpam-5567	733	6	,	,	PUNCT
ejpam-5567	733	7	18	18	NUM
ejpam-5567	733	8	(	(	PUNCT
ejpam-5567	733	9	1	1	NUM
ejpam-5567	733	10	)	)	PUNCT
ejpam-5567	733	11	(	(	PUNCT
ejpam-5567	733	12	2025	2025	NUM
ejpam-5567	733	13	)	)	PUNCT
ejpam-5567	733	14	,	,	PUNCT
ejpam-5567	733	15	5567	5567	NUM
ejpam-5567	733	16	32	32	NUM
ejpam-5567	733	17	of	of	ADP
ejpam-5567	733	18	45	45	NUM
ejpam-5567	733	19	=	=	NOUN
ejpam-5567	733	20	˜̃	˜̃	NOUN
ejpam-5567	733	21	y	y	PROPN
ejpam-5567	733	22	˜̃∩	˜̃∩	PROPN
ejpam-5567	733	23	(	(	PUNCT
ejpam-5567	733	24	˜̃x	˜̃x	NUM
ejpam-5567	733	25	−k(β	−k(β	NOUN
ejpam-5567	733	26	)	)	PUNCT
ejpam-5567	733	27	)	)	PUNCT
ejpam-5567	734	1	=	=	PUNCT
ejpam-5567	734	2	˜̃	˜̃	NOUN
ejpam-5567	734	3	y	y	PROPN
ejpam-5567	734	4	˜̃∩[k(β)c	˜̃∩[k(β)c	X
ejpam-5567	734	5	]	]	PUNCT
ejpam-5567	734	6	.	.	PUNCT
ejpam-5567	735	1	thus	thus	ADV
ejpam-5567	735	2	,	,	PUNCT
ejpam-5567	735	3	(	(	PUNCT
ejpam-5567	735	4	g	g	NOUN
ejpam-5567	735	5	,	,	PUNCT
ejpam-5567	735	6	e	e	NOUN
ejpam-5567	735	7	)	)	PUNCT
ejpam-5567	735	8	=	=	SYM
ejpam-5567	735	9	˜̃	˜̃	NOUN
ejpam-5567	735	10	y	y	PROPN
ejpam-5567	735	11	˜̃∩[k(β)c	˜̃∩[k(β)c	NUM
ejpam-5567	735	12	]	]	PUNCT
ejpam-5567	735	13	,	,	PUNCT
ejpam-5567	735	14	where	where	SCONJ
ejpam-5567	735	15	(	(	PUNCT
ejpam-5567	735	16	k	k	NOUN
ejpam-5567	735	17	,	,	PUNCT
ejpam-5567	735	18	e)c	e)c	X
ejpam-5567	735	19	is	be	AUX
ejpam-5567	735	20	a	a	DET
ejpam-5567	735	21	ternary	ternary	ADJ
ejpam-5567	735	22	soft	soft	ADJ
ejpam-5567	735	23	s	s	NOUN
ejpam-5567	735	24	-	-	PUNCT
ejpam-5567	735	25	closed	closed	ADJ
ejpam-5567	735	26	set	set	NOUN
ejpam-5567	735	27	in	in	ADP
ejpam-5567	735	28	˜̃	˜̃	NOUN
ejpam-5567	735	29	x	x	SYM
ejpam-5567	735	30	over	over	ADP
ejpam-5567	735	31	(	(	PUNCT
ejpam-5567	735	32	u1	u1	NOUN
ejpam-5567	735	33	×	×	PROPN
ejpam-5567	735	34	u2	u2	PROPN
ejpam-5567	735	35	×	×	PROPN
ejpam-5567	735	36	u3	u3	NOUN
ejpam-5567	735	37	)	)	PUNCT
ejpam-5567	735	38	as	as	ADP
ejpam-5567	735	39	(	(	PUNCT
ejpam-5567	735	40	k	k	X
ejpam-5567	735	41	,	,	PUNCT
ejpam-5567	735	42	e	e	NOUN
ejpam-5567	735	43	)	)	PUNCT
ejpam-5567	735	44	∈	∈	PROPN
ejpam-5567	735	45	τ∆.	τ∆.	PROPN
ejpam-5567	735	46	conversely	conversely	ADV
ejpam-5567	735	47	,	,	PUNCT
ejpam-5567	735	48	assume	assume	VERB
ejpam-5567	735	49	that	that	SCONJ
ejpam-5567	735	50	(	(	PUNCT
ejpam-5567	735	51	g	g	NOUN
ejpam-5567	735	52	,	,	PUNCT
ejpam-5567	735	53	e	e	NOUN
ejpam-5567	735	54	)	)	PUNCT
ejpam-5567	735	55	=	=	SYM
ejpam-5567	735	56	˜̃	˜̃	NOUN
ejpam-5567	735	57	y	y	PROPN
ejpam-5567	735	58	∩	∩	X
ejpam-5567	735	59	(	(	PUNCT
ejpam-5567	735	60	h	h	NOUN
ejpam-5567	735	61	,	,	PUNCT
ejpam-5567	735	62	e	e	NOUN
ejpam-5567	735	63	)	)	PUNCT
ejpam-5567	735	64	for	for	ADP
ejpam-5567	735	65	some	some	DET
ejpam-5567	735	66	ternary	ternary	ADJ
ejpam-5567	735	67	soft	soft	ADJ
ejpam-5567	735	68	s	s	NOUN
ejpam-5567	735	69	-	-	PUNCT
ejpam-5567	735	70	closed	closed	ADJ
ejpam-5567	735	71	set	set	NOUN
ejpam-5567	735	72	(	(	PUNCT
ejpam-5567	735	73	h	h	NOUN
ejpam-5567	735	74	,	,	PUNCT
ejpam-5567	735	75	e	e	NOUN
ejpam-5567	735	76	)	)	PUNCT
ejpam-5567	735	77	in	in	ADP
ejpam-5567	735	78	˜̃	˜̃	NOUN
ejpam-5567	735	79	x	x	SYM
ejpam-5567	735	80	over	over	ADP
ejpam-5567	735	81	(	(	PUNCT
ejpam-5567	735	82	u1	u1	PROPN
ejpam-5567	735	83	×u2	×u2	PROPN
ejpam-5567	735	84	×u3	×u3	PROPN
ejpam-5567	735	85	)	)	PUNCT
ejpam-5567	735	86	,	,	PUNCT
ejpam-5567	735	87	which	which	PRON
ejpam-5567	735	88	means	mean	VERB
ejpam-5567	735	89	that	that	SCONJ
ejpam-5567	735	90	(	(	PUNCT
ejpam-5567	735	91	h	h	NOUN
ejpam-5567	735	92	,	,	PUNCT
ejpam-5567	735	93	e	e	NOUN
ejpam-5567	735	94	)	)	PUNCT
ejpam-5567	735	95	∈	∈	PROPN
ejpam-5567	735	96	τ∆.	τ∆.	X
ejpam-5567	735	97	now	now	ADV
ejpam-5567	735	98	,	,	PUNCT
ejpam-5567	735	99	if	if	SCONJ
ejpam-5567	735	100	(	(	PUNCT
ejpam-5567	735	101	h	h	NOUN
ejpam-5567	735	102	,	,	PUNCT
ejpam-5567	735	103	e	e	NOUN
ejpam-5567	735	104	)	)	PUNCT
ejpam-5567	735	105	=	=	NOUN
ejpam-5567	735	106	˜̃	˜̃	NOUN
ejpam-5567	735	107	x	x	INTJ
ejpam-5567	735	108	−	−	PROPN
ejpam-5567	735	109	(	(	PUNCT
ejpam-5567	735	110	k	k	X
ejpam-5567	735	111	,	,	PUNCT
ejpam-5567	735	112	e	e	NOUN
ejpam-5567	735	113	)	)	PUNCT
ejpam-5567	735	114	where	where	SCONJ
ejpam-5567	735	115	(	(	PUNCT
ejpam-5567	735	116	k	k	NOUN
ejpam-5567	735	117	,	,	PUNCT
ejpam-5567	735	118	e)˜̃∈τ∆	e)˜̃∈τ∆	NOUN
ejpam-5567	735	119	,	,	PUNCT
ejpam-5567	735	120	then	then	ADV
ejpam-5567	735	121	for	for	ADP
ejpam-5567	735	122	any	any	DET
ejpam-5567	735	123	β	β	X
ejpam-5567	735	124	∈	∈	PROPN
ejpam-5567	735	125	e	e	NOUN
ejpam-5567	735	126	:	:	PUNCT
ejpam-5567	735	127	g(β	g(β	NOUN
ejpam-5567	735	128	)	)	PUNCT
ejpam-5567	735	129	=	=	PROPN
ejpam-5567	735	130	˜̃	˜̃	NOUN
ejpam-5567	735	131	y	y	PROPN
ejpam-5567	735	132	(	(	PUNCT
ejpam-5567	735	133	β)˜̃∩h(β	β)˜̃∩h(β	PROPN
ejpam-5567	735	134	)	)	PUNCT
ejpam-5567	735	135	=	=	SYM
ejpam-5567	735	136	˜̃	˜̃	NOUN
ejpam-5567	735	137	y	y	PROPN
ejpam-5567	735	138	˜̃∩h(β	˜̃∩h(β	PROPN
ejpam-5567	735	139	)	)	PUNCT
ejpam-5567	735	140	=	=	SYM
ejpam-5567	735	141	˜̃	˜̃	NOUN
ejpam-5567	735	142	y	y	PROPN
ejpam-5567	735	143	˜̃∩	˜̃∩	ADV
ejpam-5567	735	144	(	(	PUNCT
ejpam-5567	735	145	˜̃x−k(β	˜̃x−k(β	NUM
ejpam-5567	735	146	)	)	PUNCT
ejpam-5567	735	147	)	)	PUNCT
ejpam-5567	736	1	=	=	NOUN
ejpam-5567	736	2	˜̃	˜̃	NOUN
ejpam-5567	736	3	y−	y−	NOUN
ejpam-5567	736	4	[	[	PUNCT
ejpam-5567	736	5	˜̃	˜̃	NOUN
ejpam-5567	736	6	y	y	PROPN
ejpam-5567	736	7	˜̃∩k(β	˜̃∩k(β	PROPN
ejpam-5567	736	8	)	)	PUNCT
ejpam-5567	736	9	]	]	PUNCT
ejpam-5567	737	1	=	=	SYM
ejpam-5567	737	2	ỹ	ỹ	PROPN
ejpam-5567	737	3	(	(	PUNCT
ejpam-5567	737	4	β)−	β)−	ADJ
ejpam-5567	737	5	[	[	PUNCT
ejpam-5567	737	6	˜̃	˜̃	NOUN
ejpam-5567	737	7	y	y	PROPN
ejpam-5567	737	8	(	(	PUNCT
ejpam-5567	737	9	β)˜̃∩k(β	β)˜̃∩k(β	PROPN
ejpam-5567	737	10	)	)	PUNCT
ejpam-5567	737	11	]	]	PUNCT
ejpam-5567	737	12	.	.	PUNCT
ejpam-5567	738	1	thus	thus	ADV
ejpam-5567	738	2	,	,	PUNCT
ejpam-5567	738	3	˜̃	˜̃	NOUN
ejpam-5567	738	4	y	y	NOUN
ejpam-5567	738	5	−	−	PROPN
ejpam-5567	738	6	[	[	PUNCT
ejpam-5567	738	7	˜̃	˜̃	NOUN
ejpam-5567	738	8	y	y	PROPN
ejpam-5567	738	9	˜̃∩(k	˜̃∩(k	PROPN
ejpam-5567	738	10	,	,	PUNCT
ejpam-5567	738	11	e	e	NOUN
ejpam-5567	738	12	)	)	PUNCT
ejpam-5567	738	13	]	]	PUNCT
ejpam-5567	739	1	∈	∈	PROPN
ejpam-5567	739	2	τ∆y	τ∆y	NOUN
ejpam-5567	739	3	,	,	PUNCT
ejpam-5567	739	4	and	and	CCONJ
ejpam-5567	739	5	hence	hence	ADV
ejpam-5567	739	6	(	(	PUNCT
ejpam-5567	739	7	g	g	NOUN
ejpam-5567	739	8	,	,	PUNCT
ejpam-5567	739	9	e	e	NOUN
ejpam-5567	739	10	)	)	PUNCT
ejpam-5567	739	11	is	be	AUX
ejpam-5567	739	12	a	a	DET
ejpam-5567	739	13	ternary	ternary	ADJ
ejpam-5567	739	14	soft	soft	ADJ
ejpam-5567	739	15	s	s	NOUN
ejpam-5567	739	16	-	-	PUNCT
ejpam-5567	739	17	closed	closed	ADJ
ejpam-5567	739	18	set	set	NOUN
ejpam-5567	739	19	in	in	ADP
ejpam-5567	739	20	˜̃	˜̃	NOUN
ejpam-5567	739	21	y	y	PROPN
ejpam-5567	739	22	.	.	PUNCT
ejpam-5567	740	1	let	let	AUX
ejpam-5567	740	2	(	(	PUNCT
ejpam-5567	740	3	u1	u1	NOUN
ejpam-5567	740	4	,	,	PUNCT
ejpam-5567	740	5	u2	u2	NOUN
ejpam-5567	740	6	,	,	PUNCT
ejpam-5567	740	7	u3	u3	NOUN
ejpam-5567	740	8	,	,	PUNCT
ejpam-5567	740	9	τ∆	τ∆	NOUN
ejpam-5567	740	10	,	,	PUNCT
ejpam-5567	740	11	e	e	X
ejpam-5567	740	12	)	)	PUNCT
ejpam-5567	740	13	be	be	AUX
ejpam-5567	740	14	a	a	DET
ejpam-5567	740	15	ternary	ternary	ADJ
ejpam-5567	740	16	soft	soft	ADJ
ejpam-5567	740	17	topological	topological	ADJ
ejpam-5567	740	18	space	space	NOUN
ejpam-5567	740	19	.	.	PUNCT
ejpam-5567	741	1	let	let	AUX
ejpam-5567	741	2	(	(	PUNCT
ejpam-5567	741	3	u1	u1	NOUN
ejpam-5567	741	4	,	,	PUNCT
ejpam-5567	741	5	u2	u2	NOUN
ejpam-5567	741	6	,	,	PUNCT
ejpam-5567	741	7	u3	u3	NOUN
ejpam-5567	741	8	,	,	PUNCT
ejpam-5567	741	9	τ∆y	τ∆y	NOUN
ejpam-5567	741	10	,	,	PUNCT
ejpam-5567	741	11	e	e	X
ejpam-5567	741	12	)	)	PUNCT
ejpam-5567	741	13	be	be	AUX
ejpam-5567	741	14	a	a	DET
ejpam-5567	741	15	ternary	ternary	ADJ
ejpam-5567	741	16	soft	soft	ADJ
ejpam-5567	741	17	subspace	subspace	NOUN
ejpam-5567	741	18	of	of	ADP
ejpam-5567	741	19	(	(	PUNCT
ejpam-5567	741	20	u1	u1	PROPN
ejpam-5567	741	21	,	,	PUNCT
ejpam-5567	741	22	u2	u2	NOUN
ejpam-5567	741	23	,	,	PUNCT
ejpam-5567	741	24	u3	u3	NOUN
ejpam-5567	741	25	,	,	PUNCT
ejpam-5567	741	26	τ∆	τ∆	NOUN
ejpam-5567	741	27	,	,	PUNCT
ejpam-5567	741	28	e	e	NOUN
ejpam-5567	741	29	)	)	PUNCT
ejpam-5567	741	30	.	.	PUNCT
ejpam-5567	742	1	let	let	VERB
ejpam-5567	742	2	(	(	PUNCT
ejpam-5567	742	3	f	f	X
ejpam-5567	742	4	,	,	PUNCT
ejpam-5567	742	5	e	e	NOUN
ejpam-5567	742	6	)	)	PUNCT
ejpam-5567	742	7	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	742	8	˜̃	˜̃	NOUN
ejpam-5567	743	1	y	y	PROPN
ejpam-5567	743	2	be	be	VERB
ejpam-5567	743	3	a	a	DET
ejpam-5567	743	4	ternary	ternary	ADJ
ejpam-5567	743	5	soft	soft	ADJ
ejpam-5567	743	6	subset	subset	NOUN
ejpam-5567	743	7	of	of	ADP
ejpam-5567	743	8	˜̃	˜̃	NOUN
ejpam-5567	743	9	y	y	PROPN
ejpam-5567	743	10	.	.	PUNCT
ejpam-5567	744	1	then	then	ADV
ejpam-5567	744	2	we	we	PRON
ejpam-5567	744	3	can	can	AUX
ejpam-5567	744	4	find	find	VERB
ejpam-5567	744	5	the	the	DET
ejpam-5567	744	6	ternary	ternary	ADJ
ejpam-5567	744	7	soft	soft	ADJ
ejpam-5567	744	8	s	s	NOUN
ejpam-5567	744	9	-	-	NOUN
ejpam-5567	744	10	closure	closure	NOUN
ejpam-5567	744	11	of	of	ADP
ejpam-5567	744	12	(	(	PUNCT
ejpam-5567	744	13	f	f	X
ejpam-5567	744	14	,	,	PUNCT
ejpam-5567	744	15	e	e	NOUN
ejpam-5567	744	16	)	)	PUNCT
ejpam-5567	744	17	in	in	ADP
ejpam-5567	744	18	the	the	DET
ejpam-5567	744	19	space	space	NOUN
ejpam-5567	744	20	(	(	PUNCT
ejpam-5567	744	21	u1	u1	NOUN
ejpam-5567	744	22	,	,	PUNCT
ejpam-5567	744	23	u2	u2	NOUN
ejpam-5567	744	24	,	,	PUNCT
ejpam-5567	744	25	u3	u3	NOUN
ejpam-5567	744	26	,	,	PUNCT
ejpam-5567	744	27	τ∆y	τ∆y	NOUN
ejpam-5567	744	28	,	,	PUNCT
ejpam-5567	744	29	e	e	NOUN
ejpam-5567	744	30	)	)	PUNCT
ejpam-5567	744	31	.	.	PUNCT
ejpam-5567	745	1	the	the	DET
ejpam-5567	745	2	ternary	ternary	ADJ
ejpam-5567	745	3	soft	soft	ADJ
ejpam-5567	745	4	s	s	NOUN
ejpam-5567	745	5	-	-	NOUN
ejpam-5567	745	6	closure	closure	NOUN
ejpam-5567	745	7	of	of	ADP
ejpam-5567	745	8	(	(	PUNCT
ejpam-5567	745	9	f	f	X
ejpam-5567	745	10	,	,	PUNCT
ejpam-5567	745	11	e	e	NOUN
ejpam-5567	745	12	)	)	PUNCT
ejpam-5567	745	13	in	in	ADP
ejpam-5567	745	14	(	(	PUNCT
ejpam-5567	745	15	u1	u1	NOUN
ejpam-5567	745	16	,	,	PUNCT
ejpam-5567	745	17	u2	u2	NOUN
ejpam-5567	745	18	,	,	PUNCT
ejpam-5567	745	19	u3	u3	NOUN
ejpam-5567	745	20	,	,	PUNCT
ejpam-5567	745	21	τ∆y	τ∆y	NOUN
ejpam-5567	745	22	,	,	PUNCT
ejpam-5567	745	23	e	e	X
ejpam-5567	745	24	)	)	PUNCT
ejpam-5567	745	25	is	be	AUX
ejpam-5567	745	26	denoted	denote	VERB
ejpam-5567	745	27	by	by	ADP
ejpam-5567	745	28	(	(	PUNCT
ejpam-5567	745	29	f	f	NOUN
ejpam-5567	745	30	,	,	PUNCT
ejpam-5567	745	31	e)y	e)y	PUNCT
ejpam-5567	745	32	.	.	PUNCT
ejpam-5567	746	1	proposition	proposition	NOUN
ejpam-5567	746	2	9	9	NUM
ejpam-5567	746	3	.	.	PUNCT
ejpam-5567	747	1	let	let	AUX
ejpam-5567	747	2	(	(	PUNCT
ejpam-5567	747	3	u1	u1	NOUN
ejpam-5567	747	4	,	,	PUNCT
ejpam-5567	747	5	u2	u2	NOUN
ejpam-5567	747	6	,	,	PUNCT
ejpam-5567	747	7	u3	u3	NOUN
ejpam-5567	747	8	,	,	PUNCT
ejpam-5567	747	9	τ∆y	τ∆y	NOUN
ejpam-5567	747	10	,	,	PUNCT
ejpam-5567	747	11	e	e	X
ejpam-5567	747	12	)	)	PUNCT
ejpam-5567	747	13	be	be	AUX
ejpam-5567	747	14	a	a	DET
ejpam-5567	747	15	ternary	ternary	ADJ
ejpam-5567	747	16	soft	soft	ADJ
ejpam-5567	747	17	subspace	subspace	NOUN
ejpam-5567	747	18	of	of	ADP
ejpam-5567	747	19	a	a	DET
ejpam-5567	747	20	ternary	ternary	ADJ
ejpam-5567	747	21	soft	soft	ADJ
ejpam-5567	747	22	topological	topological	ADJ
ejpam-5567	747	23	space	space	NOUN
ejpam-5567	747	24	(	(	PUNCT
ejpam-5567	747	25	u1	u1	NOUN
ejpam-5567	747	26	,	,	PUNCT
ejpam-5567	747	27	u2	u2	NOUN
ejpam-5567	747	28	,	,	PUNCT
ejpam-5567	747	29	u3	u3	NOUN
ejpam-5567	747	30	,	,	PUNCT
ejpam-5567	747	31	τ∆	τ∆	NOUN
ejpam-5567	747	32	,	,	PUNCT
ejpam-5567	747	33	e	e	NOUN
ejpam-5567	747	34	)	)	PUNCT
ejpam-5567	747	35	.	.	PUNCT
ejpam-5567	748	1	let	let	VERB
ejpam-5567	748	2	(	(	PUNCT
ejpam-5567	748	3	f	f	X
ejpam-5567	748	4	,	,	PUNCT
ejpam-5567	748	5	e	e	NOUN
ejpam-5567	748	6	)	)	PUNCT
ejpam-5567	748	7	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	748	8	˜̃	˜̃	NOUN
ejpam-5567	749	1	y	y	PROPN
ejpam-5567	749	2	be	be	VERB
ejpam-5567	749	3	a	a	DET
ejpam-5567	749	4	ternary	ternary	ADJ
ejpam-5567	749	5	soft	soft	ADJ
ejpam-5567	749	6	subset	subset	NOUN
ejpam-5567	749	7	of	of	ADP
ejpam-5567	749	8	˜̃	˜̃	NOUN
ejpam-5567	749	9	y	y	PROPN
ejpam-5567	749	10	.	.	PUNCT
ejpam-5567	750	1	then	then	ADV
ejpam-5567	750	2	we	we	PRON
ejpam-5567	750	3	have	have	VERB
ejpam-5567	750	4	the	the	DET
ejpam-5567	750	5	following	follow	VERB
ejpam-5567	750	6	results	result	NOUN
ejpam-5567	750	7	:	:	PUNCT
ejpam-5567	750	8	(	(	PUNCT
ejpam-5567	750	9	i	i	NOUN
ejpam-5567	750	10	)	)	PUNCT
ejpam-5567	750	11	(	(	PUNCT
ejpam-5567	750	12	f	f	X
ejpam-5567	750	13	,	,	PUNCT
ejpam-5567	750	14	e)y	e)y	NOUN
ejpam-5567	750	15	=	=	SYM
ejpam-5567	750	16	˜̃	˜̃	NOUN
ejpam-5567	750	17	y	y	PROPN
ejpam-5567	750	18	˜̃∩(f	˜̃∩(f	PROPN
ejpam-5567	750	19	,	,	PUNCT
ejpam-5567	750	20	e	e	NOUN
ejpam-5567	750	21	)	)	PUNCT
ejpam-5567	750	22	.	.	PUNCT
ejpam-5567	751	1	(	(	PUNCT
ejpam-5567	751	2	ii	ii	NOUN
ejpam-5567	751	3	)	)	PUNCT
ejpam-5567	751	4	(	(	PUNCT
ejpam-5567	751	5	f	f	NOUN
ejpam-5567	751	6	,	,	PUNCT
ejpam-5567	751	7	e)∗y	e)∗y	NOUN
ejpam-5567	751	8	=	=	SYM
ejpam-5567	751	9	˜̃	˜̃	NOUN
ejpam-5567	751	10	y	y	PROPN
ejpam-5567	751	11	˜̃∩(f	˜̃∩(f	PROPN
ejpam-5567	751	12	,	,	PUNCT
ejpam-5567	751	13	e)∗.	e)∗.	PROPN
ejpam-5567	751	14	(	(	PUNCT
ejpam-5567	751	15	iii	iii	NOUN
ejpam-5567	751	16	)	)	PUNCT
ejpam-5567	751	17	(	(	PUNCT
ejpam-5567	751	18	f	f	X
ejpam-5567	751	19	,	,	PUNCT
ejpam-5567	751	20	e)y	e)y	VERB
ejpam-5567	751	21	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	751	22	˜̃	˜̃	NOUN
ejpam-5567	751	23	y	y	PROPN
ejpam-5567	751	24	˜̃∩(f	˜̃∩(f	PROPN
ejpam-5567	751	25	,	,	PUNCT
ejpam-5567	751	26	e	e	NOUN
ejpam-5567	751	27	)	)	PUNCT
ejpam-5567	751	28	.	.	PUNCT
ejpam-5567	752	1	proof	proof	NOUN
ejpam-5567	752	2	.	.	PUNCT
ejpam-5567	753	1	(	(	PUNCT
ejpam-5567	753	2	i	i	NOUN
ejpam-5567	753	3	)	)	PUNCT
ejpam-5567	753	4	to	to	PART
ejpam-5567	753	5	prove	prove	VERB
ejpam-5567	753	6	,	,	PUNCT
ejpam-5567	753	7	let	let	VERB
ejpam-5567	753	8	(	(	PUNCT
ejpam-5567	753	9	f	f	NOUN
ejpam-5567	753	10	,	,	PUNCT
ejpam-5567	753	11	e)y	e)y	NOUN
ejpam-5567	753	12	=	=	SYM
ejpam-5567	753	13	˜̃	˜̃	NOUN
ejpam-5567	753	14	y	y	PROPN
ejpam-5567	753	15	˜̃∩(f	˜̃∩(f	PROPN
ejpam-5567	753	16	,	,	PUNCT
ejpam-5567	753	17	e	e	NOUN
ejpam-5567	753	18	)	)	PUNCT
ejpam-5567	753	19	.	.	PUNCT
ejpam-5567	754	1	we	we	PRON
ejpam-5567	754	2	have	have	VERB
ejpam-5567	754	3	:	:	PUNCT
ejpam-5567	754	4	(	(	PUNCT
ejpam-5567	754	5	f	f	X
ejpam-5567	754	6	,	,	PUNCT
ejpam-5567	754	7	e)y	e)y	NOUN
ejpam-5567	754	8	=	=	PUNCT
ejpam-5567	754	9	the	the	DET
ejpam-5567	754	10	ternary	ternary	ADJ
ejpam-5567	754	11	soft	soft	ADJ
ejpam-5567	754	12	intersection	intersection	NOUN
ejpam-5567	754	13	of	of	ADP
ejpam-5567	754	14	all	all	DET
ejpam-5567	754	15	the	the	DET
ejpam-5567	754	16	ternary	ternary	ADJ
ejpam-5567	754	17	soft	soft	ADJ
ejpam-5567	754	18	s	s	NOUN
ejpam-5567	754	19	-	-	PUNCT
ejpam-5567	754	20	closed	closed	ADJ
ejpam-5567	754	21	sets	set	NOUN
ejpam-5567	754	22	containing	contain	VERB
ejpam-5567	754	23	(	(	PUNCT
ejpam-5567	754	24	f	f	X
ejpam-5567	754	25	,	,	PUNCT
ejpam-5567	754	26	e	e	NOUN
ejpam-5567	754	27	)	)	PUNCT
ejpam-5567	754	28	=	=	SYM
ejpam-5567	754	29	˜̃∩{(g	˜̃∩{(g	NOUN
ejpam-5567	754	30	,	,	PUNCT
ejpam-5567	754	31	e)y	e)y	NOUN
ejpam-5567	754	32	:	:	PUNCT
ejpam-5567	754	33	(	(	PUNCT
ejpam-5567	754	34	g	g	NOUN
ejpam-5567	754	35	,	,	PUNCT
ejpam-5567	754	36	e)y	e)y	NOUN
ejpam-5567	754	37	is	be	AUX
ejpam-5567	754	38	τ∆y	τ∆y	ADV
ejpam-5567	754	39	-ternary	-ternary	ADJ
ejpam-5567	754	40	soft	soft	ADJ
ejpam-5567	754	41	s	s	NOUN
ejpam-5567	754	42	-	-	PUNCT
ejpam-5567	754	43	closed	closed	ADJ
ejpam-5567	754	44	set	set	NOUN
ejpam-5567	754	45	and	and	CCONJ
ejpam-5567	754	46	(	(	PUNCT
ejpam-5567	754	47	g	g	NOUN
ejpam-5567	754	48	,	,	PUNCT
ejpam-5567	754	49	e)y	e)y	PUNCT
ejpam-5567	754	50	˜̃⊇(f	˜̃⊇(f	PROPN
ejpam-5567	754	51	,	,	PUNCT
ejpam-5567	754	52	e	e	NOUN
ejpam-5567	754	53	)	)	PUNCT
ejpam-5567	754	54	}	}	PUNCT
ejpam-5567	754	55	=	=	PUNCT
ejpam-5567	755	1	˜̃∩	˜̃∩	ADV
ejpam-5567	755	2	{	{	PUNCT
ejpam-5567	755	3	˜̃y	˜̃y	PROPN
ejpam-5567	755	4	˜̃∩(g	˜̃∩(g	PROPN
ejpam-5567	755	5	,	,	PUNCT
ejpam-5567	755	6	e	e	NOUN
ejpam-5567	755	7	)	)	PUNCT
ejpam-5567	755	8	:	:	PUNCT
ejpam-5567	755	9	(	(	PUNCT
ejpam-5567	755	10	g	g	NOUN
ejpam-5567	755	11	,	,	PUNCT
ejpam-5567	755	12	e	e	NOUN
ejpam-5567	755	13	)	)	PUNCT
ejpam-5567	755	14	is	be	AUX
ejpam-5567	755	15	τ∆-ternary	τ∆-ternary	ADJ
ejpam-5567	755	16	soft	soft	ADJ
ejpam-5567	755	17	s	s	NOUN
ejpam-5567	755	18	-	-	PUNCT
ejpam-5567	755	19	closed	closed	ADJ
ejpam-5567	755	20	set	set	NOUN
ejpam-5567	755	21	and	and	CCONJ
ejpam-5567	755	22	˜̃	˜̃	NOUN
ejpam-5567	755	23	y	y	PROPN
ejpam-5567	755	24	˜̃∩(g	˜̃∩(g	PROPN
ejpam-5567	755	25	,	,	PUNCT
ejpam-5567	755	26	e	e	NOUN
ejpam-5567	755	27	)	)	PUNCT
ejpam-5567	755	28	˜̃⊇(f	˜̃⊇(f	NUM
ejpam-5567	755	29	,	,	PUNCT
ejpam-5567	755	30	e	e	NOUN
ejpam-5567	755	31	)	)	PUNCT
ejpam-5567	755	32	}	}	PUNCT
ejpam-5567	756	1	=	=	PUNCT
ejpam-5567	756	2	˜̃	˜̃	NOUN
ejpam-5567	756	3	y	y	PROPN
ejpam-5567	756	4	˜̃∩{(g	˜̃∩{(g	PROPN
ejpam-5567	756	5	,	,	PUNCT
ejpam-5567	756	6	e	e	NOUN
ejpam-5567	756	7	)	)	PUNCT
ejpam-5567	756	8	:	:	PUNCT
ejpam-5567	756	9	(	(	PUNCT
ejpam-5567	756	10	g	g	NOUN
ejpam-5567	756	11	,	,	PUNCT
ejpam-5567	756	12	e	e	NOUN
ejpam-5567	756	13	)	)	PUNCT
ejpam-5567	756	14	is	be	AUX
ejpam-5567	756	15	τ∆-ternary	τ∆-ternary	ADJ
ejpam-5567	756	16	soft	soft	ADJ
ejpam-5567	756	17	s	s	NOUN
ejpam-5567	756	18	-	-	PUNCT
ejpam-5567	756	19	closed	closed	ADJ
ejpam-5567	756	20	set	set	NOUN
ejpam-5567	756	21	and	and	CCONJ
ejpam-5567	756	22	(	(	PUNCT
ejpam-5567	756	23	g	g	NOUN
ejpam-5567	756	24	,	,	PUNCT
ejpam-5567	756	25	e	e	NOUN
ejpam-5567	756	26	)	)	PUNCT
ejpam-5567	756	27	˜̃⊇(f	˜̃⊇(f	NUM
ejpam-5567	756	28	,	,	PUNCT
ejpam-5567	756	29	e	e	NOUN
ejpam-5567	756	30	)	)	PUNCT
ejpam-5567	756	31	}	}	PUNCT
ejpam-5567	757	1	=	=	SYM
ejpam-5567	757	2	˜̃	˜̃	NOUN
ejpam-5567	757	3	y	y	PROPN
ejpam-5567	757	4	˜̃∩(f	˜̃∩(f	PROPN
ejpam-5567	757	5	,	,	PUNCT
ejpam-5567	757	6	e	e	NOUN
ejpam-5567	757	7	)	)	PUNCT
ejpam-5567	757	8	.	.	PUNCT
ejpam-5567	758	1	thus	thus	ADV
ejpam-5567	758	2	(	(	PUNCT
ejpam-5567	758	3	f	f	X
ejpam-5567	758	4	,	,	PUNCT
ejpam-5567	758	5	e)y	e)y	NOUN
ejpam-5567	758	6	=	=	SYM
ejpam-5567	758	7	˜̃	˜̃	NOUN
ejpam-5567	758	8	y	y	PROPN
ejpam-5567	758	9	˜̃∩(f	˜̃∩(f	PROPN
ejpam-5567	758	10	,	,	PUNCT
ejpam-5567	758	11	e	e	NOUN
ejpam-5567	758	12	)	)	PUNCT
ejpam-5567	758	13	.	.	PUNCT
ejpam-5567	759	1	m.	m.	NOUN
ejpam-5567	759	2	nawaz	nawaz	PROPN
ejpam-5567	759	3	et	et	PROPN
ejpam-5567	759	4	al	al	PROPN
ejpam-5567	759	5	.	.	PUNCT
ejpam-5567	759	6	/	/	SYM
ejpam-5567	759	7	eur	eur	PROPN
ejpam-5567	759	8	.	.	PUNCT
ejpam-5567	760	1	j.	j.	PROPN
ejpam-5567	760	2	pure	pure	PROPN
ejpam-5567	760	3	appl	appl	PROPN
ejpam-5567	760	4	.	.	PROPN
ejpam-5567	760	5	math	math	PROPN
ejpam-5567	760	6	,	,	PUNCT
ejpam-5567	760	7	18	18	NUM
ejpam-5567	760	8	(	(	PUNCT
ejpam-5567	760	9	1	1	NUM
ejpam-5567	760	10	)	)	PUNCT
ejpam-5567	760	11	(	(	PUNCT
ejpam-5567	760	12	2025	2025	NUM
ejpam-5567	760	13	)	)	PUNCT
ejpam-5567	760	14	,	,	PUNCT
ejpam-5567	760	15	5567	5567	NUM
ejpam-5567	760	16	33	33	NUM
ejpam-5567	760	17	of	of	ADP
ejpam-5567	760	18	45	45	NUM
ejpam-5567	760	19	(	(	PUNCT
ejpam-5567	760	20	ii	ii	NOUN
ejpam-5567	760	21	)	)	PUNCT
ejpam-5567	760	22	to	to	PART
ejpam-5567	760	23	prove	prove	VERB
ejpam-5567	760	24	that	that	SCONJ
ejpam-5567	760	25	(	(	PUNCT
ejpam-5567	760	26	f	f	X
ejpam-5567	760	27	,	,	PUNCT
ejpam-5567	760	28	e)y	e)y	NOUN
ejpam-5567	760	29	=	=	SYM
ejpam-5567	760	30	˜̃	˜̃	NOUN
ejpam-5567	760	31	y	y	PROPN
ejpam-5567	760	32	˜̃∩(f	˜̃∩(f	PROPN
ejpam-5567	760	33	,	,	PUNCT
ejpam-5567	760	34	e)∗	e)∗	PROPN
ejpam-5567	760	35	,	,	PUNCT
ejpam-5567	760	36	we	we	PRON
ejpam-5567	760	37	know	know	VERB
ejpam-5567	760	38	that	that	SCONJ
ejpam-5567	760	39	(	(	PUNCT
ejpam-5567	760	40	f	f	X
ejpam-5567	760	41	,	,	PUNCT
ejpam-5567	760	42	e)e	e)e	ADV
ejpam-5567	760	43	y	y	NOUN
ejpam-5567	760	44	=	=	PUNCT
ejpam-5567	760	45	the	the	DET
ejpam-5567	760	46	ternary	ternary	ADJ
ejpam-5567	760	47	soft	soft	ADJ
ejpam-5567	760	48	union	union	NOUN
ejpam-5567	760	49	of	of	ADP
ejpam-5567	760	50	all	all	DET
ejpam-5567	760	51	the	the	DET
ejpam-5567	760	52	τ∆y	τ∆y	ADV
ejpam-5567	760	53	-ternary	-ternary	ADJ
ejpam-5567	760	54	soft	soft	ADJ
ejpam-5567	760	55	s	s	NOUN
ejpam-5567	760	56	-	-	ADJ
ejpam-5567	760	57	open	open	ADJ
ejpam-5567	760	58	sets	set	NOUN
ejpam-5567	760	59	contained	contain	VERB
ejpam-5567	760	60	in	in	ADP
ejpam-5567	760	61	(	(	PUNCT
ejpam-5567	760	62	f	f	X
ejpam-5567	760	63	,	,	PUNCT
ejpam-5567	760	64	e	e	NOUN
ejpam-5567	760	65	):	):	PUNCT
ejpam-5567	760	66	=	=	SYM
ejpam-5567	760	67	˜̃∪{(h	˜̃∪{(h	NOUN
ejpam-5567	760	68	,	,	PUNCT
ejpam-5567	760	69	e	e	NOUN
ejpam-5567	760	70	)	)	PUNCT
ejpam-5567	760	71	:	:	PUNCT
ejpam-5567	760	72	(	(	PUNCT
ejpam-5567	760	73	h	h	NOUN
ejpam-5567	760	74	,	,	PUNCT
ejpam-5567	760	75	e	e	NOUN
ejpam-5567	760	76	)	)	PUNCT
ejpam-5567	760	77	is	be	AUX
ejpam-5567	760	78	τ∆y	τ∆y	ADV
ejpam-5567	760	79	-ternary	-ternary	ADJ
ejpam-5567	760	80	soft	soft	ADJ
ejpam-5567	760	81	s	s	NOUN
ejpam-5567	760	82	-	-	ADJ
ejpam-5567	760	83	open	open	ADJ
ejpam-5567	760	84	and	and	CCONJ
ejpam-5567	760	85	(	(	PUNCT
ejpam-5567	760	86	h	h	NOUN
ejpam-5567	760	87	,	,	PUNCT
ejpam-5567	760	88	e	e	NOUN
ejpam-5567	760	89	)	)	PUNCT
ejpam-5567	760	90	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	760	91	,	,	PUNCT
ejpam-5567	760	92	e	e	NOUN
ejpam-5567	760	93	)	)	PUNCT
ejpam-5567	760	94	}	}	PUNCT
ejpam-5567	760	95	=	=	SYM
ejpam-5567	760	96	˜̃∪{(h	˜̃∪{(h	NOUN
ejpam-5567	760	97	,	,	PUNCT
ejpam-5567	760	98	e	e	NOUN
ejpam-5567	760	99	)	)	PUNCT
ejpam-5567	760	100	=	=	SYM
ejpam-5567	760	101	˜̃	˜̃	NOUN
ejpam-5567	760	102	y	y	PROPN
ejpam-5567	760	103	˜̃∩(k	˜̃∩(k	PROPN
ejpam-5567	760	104	,	,	PUNCT
ejpam-5567	760	105	e	e	NOUN
ejpam-5567	760	106	)	)	PUNCT
ejpam-5567	760	107	:	:	PUNCT
ejpam-5567	760	108	(	(	PUNCT
ejpam-5567	760	109	k	k	X
ejpam-5567	760	110	,	,	PUNCT
ejpam-5567	760	111	e	e	NOUN
ejpam-5567	760	112	)	)	PUNCT
ejpam-5567	760	113	is	be	AUX
ejpam-5567	760	114	τ∆-ternary	τ∆-ternary	ADJ
ejpam-5567	760	115	soft	soft	ADJ
ejpam-5567	760	116	s	s	NOUN
ejpam-5567	760	117	-	-	ADJ
ejpam-5567	760	118	open	open	ADJ
ejpam-5567	760	119	set	set	NOUN
ejpam-5567	760	120	and	and	CCONJ
ejpam-5567	760	121	˜̃	˜̃	NOUN
ejpam-5567	760	122	y	y	PROPN
ejpam-5567	760	123	˜̃∩(k	˜̃∩(k	PROPN
ejpam-5567	760	124	,	,	PUNCT
ejpam-5567	760	125	e	e	NOUN
ejpam-5567	760	126	)	)	PUNCT
ejpam-5567	760	127	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	760	128	,	,	PUNCT
ejpam-5567	760	129	e	e	NOUN
ejpam-5567	760	130	)	)	PUNCT
ejpam-5567	760	131	}	}	PUNCT
ejpam-5567	760	132	.	.	PUNCT
ejpam-5567	761	1	also	also	ADV
ejpam-5567	761	2	,	,	PUNCT
ejpam-5567	761	3	we	we	PRON
ejpam-5567	761	4	know	know	VERB
ejpam-5567	761	5	that	that	SCONJ
ejpam-5567	761	6	(	(	PUNCT
ejpam-5567	761	7	f	f	X
ejpam-5567	761	8	,	,	PUNCT
ejpam-5567	761	9	e)e	e)e	ADP
ejpam-5567	761	10	=	=	SYM
ejpam-5567	761	11	˜̃	˜̃	NOUN
ejpam-5567	761	12	y	y	PROPN
ejpam-5567	761	13	˜̃∩˜̃∪{(l	˜̃∩˜̃∪{(l	NOUN
ejpam-5567	761	14	,	,	PUNCT
ejpam-5567	761	15	e	e	NOUN
ejpam-5567	761	16	)	)	PUNCT
ejpam-5567	761	17	:	:	PUNCT
ejpam-5567	761	18	(	(	PUNCT
ejpam-5567	761	19	l	l	NOUN
ejpam-5567	761	20	,	,	PUNCT
ejpam-5567	761	21	e	e	NOUN
ejpam-5567	761	22	)	)	PUNCT
ejpam-5567	761	23	is	be	AUX
ejpam-5567	761	24	τ∆-ternary	τ∆-ternary	ADJ
ejpam-5567	761	25	soft	soft	ADJ
ejpam-5567	761	26	s	s	NOUN
ejpam-5567	761	27	-	-	ADJ
ejpam-5567	761	28	open	open	ADJ
ejpam-5567	761	29	set	set	NOUN
ejpam-5567	761	30	and	and	CCONJ
ejpam-5567	761	31	(	(	PUNCT
ejpam-5567	761	32	l	l	NOUN
ejpam-5567	761	33	,	,	PUNCT
ejpam-5567	761	34	e)γ	e)γ	ADJ
ejpam-5567	761	35	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	761	36	,	,	PUNCT
ejpam-5567	761	37	e	e	NOUN
ejpam-5567	761	38	)	)	PUNCT
ejpam-5567	761	39	}	}	PUNCT
ejpam-5567	761	40	.	.	PUNCT
ejpam-5567	762	1	now	now	ADV
ejpam-5567	762	2	,	,	PUNCT
ejpam-5567	762	3	let	let	VERB
ejpam-5567	762	4	(	(	PUNCT
ejpam-5567	762	5	m	m	NOUN
ejpam-5567	762	6	,	,	PUNCT
ejpam-5567	762	7	e)˜̃∈	e)˜̃∈	PROPN
ejpam-5567	762	8	˜̃	˜̃	NOUN
ejpam-5567	762	9	y	y	PROPN
ejpam-5567	762	10	˜̃∩(f	˜̃∩(f	PROPN
ejpam-5567	762	11	,	,	PUNCT
ejpam-5567	762	12	e)∗	e)∗	PROPN
ejpam-5567	762	13	,	,	PUNCT
ejpam-5567	762	14	which	which	PRON
ejpam-5567	762	15	implies	imply	VERB
ejpam-5567	762	16	(	(	PUNCT
ejpam-5567	762	17	m	m	PROPN
ejpam-5567	762	18	,	,	PUNCT
ejpam-5567	762	19	e)˜̃∈	e)˜̃∈	PROPN
ejpam-5567	762	20	˜̃	˜̃	NOUN
ejpam-5567	762	21	y	y	PROPN
ejpam-5567	762	22	and	and	CCONJ
ejpam-5567	762	23	(	(	PUNCT
ejpam-5567	762	24	m	m	PROPN
ejpam-5567	762	25	,	,	PUNCT
ejpam-5567	762	26	e)˜̃∈(f	e)˜̃∈(f	NUM
ejpam-5567	762	27	,	,	PUNCT
ejpam-5567	762	28	e)∗	e)∗	PROPN
ejpam-5567	762	29	:	:	PUNCT
ejpam-5567	762	30	(	(	PUNCT
ejpam-5567	762	31	m	m	PROPN
ejpam-5567	762	32	,	,	PUNCT
ejpam-5567	762	33	e)˜̃∈	e)˜̃∈	PROPN
ejpam-5567	762	34	˜̃	˜̃	NOUN
ejpam-5567	762	35	y	y	PROPN
ejpam-5567	762	36	and	and	CCONJ
ejpam-5567	762	37	(	(	PUNCT
ejpam-5567	762	38	m	m	PROPN
ejpam-5567	762	39	,	,	PUNCT
ejpam-5567	762	40	e)˜̃∈˜̃∪{(l	e)˜̃∈˜̃∪{(l	X
ejpam-5567	762	41	,	,	PUNCT
ejpam-5567	762	42	e)γ	e)γ	ADV
ejpam-5567	762	43	:	:	PUNCT
ejpam-5567	762	44	(	(	PUNCT
ejpam-5567	762	45	l	l	NOUN
ejpam-5567	762	46	,	,	PUNCT
ejpam-5567	762	47	e)γ	e)γ	X
ejpam-5567	762	48	is	be	AUX
ejpam-5567	762	49	τ∆-ternary	τ∆-ternary	ADJ
ejpam-5567	762	50	soft	soft	ADJ
ejpam-5567	762	51	s	s	NOUN
ejpam-5567	762	52	-	-	ADJ
ejpam-5567	762	53	open	open	ADJ
ejpam-5567	762	54	set	set	NOUN
ejpam-5567	762	55	and	and	CCONJ
ejpam-5567	762	56	(	(	PUNCT
ejpam-5567	762	57	l	l	NOUN
ejpam-5567	762	58	,	,	PUNCT
ejpam-5567	762	59	e)γ	e)γ	ADJ
ejpam-5567	762	60	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	762	61	,	,	PUNCT
ejpam-5567	762	62	e	e	NOUN
ejpam-5567	762	63	)	)	PUNCT
ejpam-5567	762	64	}	}	PUNCT
ejpam-5567	762	65	.	.	PUNCT
ejpam-5567	763	1	hence	hence	ADV
ejpam-5567	763	2	(	(	PUNCT
ejpam-5567	763	3	m	m	PROPN
ejpam-5567	763	4	,	,	PUNCT
ejpam-5567	763	5	e)˜̃∈	e)˜̃∈	PROPN
ejpam-5567	763	6	˜̃	˜̃	NOUN
ejpam-5567	763	7	y	y	PROPN
ejpam-5567	763	8	˜̃∩(l	˜̃∩(l	PROPN
ejpam-5567	763	9	,	,	PUNCT
ejpam-5567	763	10	e)γi	e)γi	PROPN
ejpam-5567	763	11	for	for	ADP
ejpam-5567	763	12	some	some	DET
ejpam-5567	763	13	(	(	PUNCT
ejpam-5567	763	14	l	l	NOUN
ejpam-5567	763	15	,	,	PUNCT
ejpam-5567	763	16	e)γi	e)γi	PROPN
ejpam-5567	763	17	,	,	PUNCT
ejpam-5567	763	18	where	where	SCONJ
ejpam-5567	763	19	(	(	PUNCT
ejpam-5567	763	20	l	l	NOUN
ejpam-5567	763	21	,	,	PUNCT
ejpam-5567	763	22	e)γi	e)γi	PROPN
ejpam-5567	763	23	is	be	AUX
ejpam-5567	763	24	τ∆-ternary	τ∆-ternary	ADJ
ejpam-5567	763	25	soft	soft	ADJ
ejpam-5567	763	26	sopen	sopen	NOUN
ejpam-5567	763	27	and	and	CCONJ
ejpam-5567	763	28	(	(	PUNCT
ejpam-5567	763	29	l	l	NOUN
ejpam-5567	763	30	,	,	PUNCT
ejpam-5567	763	31	e)γi	e)γi	PROPN
ejpam-5567	763	32	˜̃⊆(f	˜̃⊆(f	PROPN
ejpam-5567	763	33	,	,	PUNCT
ejpam-5567	763	34	e	e	NOUN
ejpam-5567	763	35	)	)	PUNCT
ejpam-5567	763	36	.	.	PUNCT
ejpam-5567	764	1	therefore	therefore	ADV
ejpam-5567	764	2	,	,	PUNCT
ejpam-5567	764	3	(	(	PUNCT
ejpam-5567	764	4	m	m	NOUN
ejpam-5567	764	5	,	,	PUNCT
ejpam-5567	764	6	e)˜̃∈(f	e)˜̃∈(f	NUM
ejpam-5567	764	7	,	,	PUNCT
ejpam-5567	764	8	e)∗	e)∗	PROPN
ejpam-5567	764	9	y	y	PROPN
ejpam-5567	764	10	.	.	PUNCT
ejpam-5567	765	1	thus	thus	ADV
ejpam-5567	765	2	(	(	PUNCT
ejpam-5567	765	3	m	m	NOUN
ejpam-5567	765	4	,	,	PUNCT
ejpam-5567	765	5	e)˜̃∈	e)˜̃∈	PROPN
ejpam-5567	765	6	˜̃	˜̃	NOUN
ejpam-5567	765	7	y	y	PROPN
ejpam-5567	765	8	˜̃∩(f	˜̃∩(f	PROPN
ejpam-5567	765	9	,	,	PUNCT
ejpam-5567	765	10	e)∗	e)∗	PROPN
ejpam-5567	765	11	implies	imply	VERB
ejpam-5567	765	12	(	(	PUNCT
ejpam-5567	765	13	m	m	X
ejpam-5567	765	14	,	,	PUNCT
ejpam-5567	765	15	e)˜̃∈(f	e)˜̃∈(f	NUM
ejpam-5567	765	16	,	,	PUNCT
ejpam-5567	765	17	e)∗.	e)∗.	NOUN
ejpam-5567	765	18	hence	hence	ADV
ejpam-5567	765	19	,	,	PUNCT
ejpam-5567	765	20	˜̃	˜̃	NOUN
ejpam-5567	765	21	y	y	PROPN
ejpam-5567	765	22	˜̃∩(f	˜̃∩(f	PROPN
ejpam-5567	765	23	,	,	PUNCT
ejpam-5567	765	24	e)∗	e)∗	PROPN
ejpam-5567	765	25	˜̃⊆(f	˜̃⊆(f	PROPN
ejpam-5567	765	26	,	,	PUNCT
ejpam-5567	765	27	e)∗y	e)∗y	NOUN
ejpam-5567	765	28	.	.	PUNCT
ejpam-5567	766	1	(	(	PUNCT
ejpam-5567	766	2	iii	iii	NOUN
ejpam-5567	766	3	)	)	PUNCT
ejpam-5567	766	4	to	to	PART
ejpam-5567	766	5	prove	prove	VERB
ejpam-5567	766	6	(	(	PUNCT
ejpam-5567	766	7	f	f	NOUN
ejpam-5567	766	8	,	,	PUNCT
ejpam-5567	766	9	e)y	e)y	VERB
ejpam-5567	766	10	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	766	11	˜̃	˜̃	NOUN
ejpam-5567	766	12	y	y	PROPN
ejpam-5567	766	13	˜̃∩(f	˜̃∩(f	PROPN
ejpam-5567	766	14	,	,	PUNCT
ejpam-5567	766	15	e	e	NOUN
ejpam-5567	766	16	)	)	PUNCT
ejpam-5567	766	17	.	.	PUNCT
ejpam-5567	767	1	now	now	ADV
ejpam-5567	767	2	consider	consider	VERB
ejpam-5567	767	3	:	:	PUNCT
ejpam-5567	767	4	(	(	PUNCT
ejpam-5567	767	5	f	f	X
ejpam-5567	767	6	,	,	PUNCT
ejpam-5567	767	7	e)y	e)y	NOUN
ejpam-5567	767	8	=	=	SYM
ejpam-5567	767	9	(	(	PUNCT
ejpam-5567	767	10	f	f	NOUN
ejpam-5567	767	11	,	,	PUNCT
ejpam-5567	767	12	e)y	e)y	VERB
ejpam-5567	767	13	˜̃∩	˜̃∩	ADP
ejpam-5567	767	14	˜̃	˜̃	NOUN
ejpam-5567	767	15	y	y	PROPN
ejpam-5567	767	16	−	−	PROPN
ejpam-5567	768	1	(	(	PUNCT
ejpam-5567	768	2	f	f	X
ejpam-5567	768	3	,	,	PUNCT
ejpam-5567	768	4	e)y	e)y	VERB
ejpam-5567	768	5	⇒	⇒	NOUN
ejpam-5567	768	6	[	[	PUNCT
ejpam-5567	768	7	˜̃	˜̃	NOUN
ejpam-5567	768	8	y	y	PROPN
ejpam-5567	768	9	˜̃∩(f	˜̃∩(f	PROPN
ejpam-5567	768	10	,	,	PUNCT
ejpam-5567	768	11	e)]˜̃∩	e)]˜̃∩	ADV
ejpam-5567	768	12	˜̃	˜̃	NOUN
ejpam-5567	768	13	y	y	PROPN
ejpam-5567	768	14	˜̃∩	˜̃∩	ADP
ejpam-5567	768	15	[	[	PUNCT
ejpam-5567	768	16	˜̃y	˜̃y	X
ejpam-5567	768	17	−	−	PROPN
ejpam-5567	768	18	(	(	PUNCT
ejpam-5567	768	19	f	f	X
ejpam-5567	768	20	,	,	PUNCT
ejpam-5567	768	21	e	e	NOUN
ejpam-5567	768	22	)	)	PUNCT
ejpam-5567	768	23	]	]	PUNCT
ejpam-5567	768	24	.	.	PUNCT
ejpam-5567	769	1	since	since	SCONJ
ejpam-5567	769	2	using	use	VERB
ejpam-5567	769	3	result	result	NOUN
ejpam-5567	769	4	(	(	PUNCT
ejpam-5567	769	5	i	i	NOUN
ejpam-5567	769	6	)	)	PUNCT
ejpam-5567	769	7	,	,	PUNCT
ejpam-5567	769	8	[	[	PUNCT
ejpam-5567	769	9	˜̃	˜̃	NOUN
ejpam-5567	769	10	y	y	PROPN
ejpam-5567	769	11	˜̃∩(f	˜̃∩(f	PROPN
ejpam-5567	769	12	,	,	PUNCT
ejpam-5567	769	13	e)]˜̃∩	e)]˜̃∩	ADV
ejpam-5567	769	14	˜̃	˜̃	NOUN
ejpam-5567	769	15	y	y	PROPN
ejpam-5567	769	16	˜̃∩	˜̃∩	ADP
ejpam-5567	769	17	[	[	PUNCT
ejpam-5567	769	18	˜̃y	˜̃y	X
ejpam-5567	769	19	−	−	PROPN
ejpam-5567	769	20	(	(	PUNCT
ejpam-5567	769	21	f	f	X
ejpam-5567	769	22	,	,	PUNCT
ejpam-5567	769	23	e	e	NOUN
ejpam-5567	769	24	)	)	PUNCT
ejpam-5567	769	25	]	]	PUNCT
ejpam-5567	769	26	.	.	PUNCT
ejpam-5567	770	1	since	since	SCONJ
ejpam-5567	770	2	(	(	PUNCT
ejpam-5567	770	3	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	770	4	˜̃	˜̃	NOUN
ejpam-5567	770	5	y	y	PROPN
ejpam-5567	770	6	˜̃∩(f	˜̃∩(f	PROPN
ejpam-5567	770	7	,	,	PUNCT
ejpam-5567	770	8	e	e	NOUN
ejpam-5567	770	9	)	)	PUNCT
ejpam-5567	770	10	.	.	PUNCT
ejpam-5567	771	1	thus	thus	ADV
ejpam-5567	771	2	(	(	PUNCT
ejpam-5567	771	3	f	f	X
ejpam-5567	771	4	,	,	PUNCT
ejpam-5567	771	5	e)y	e)y	VERB
ejpam-5567	771	6	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	771	7	˜̃	˜̃	NOUN
ejpam-5567	771	8	y	y	PROPN
ejpam-5567	771	9	˜̃∩(f	˜̃∩(f	PROPN
ejpam-5567	771	10	,	,	PUNCT
ejpam-5567	771	11	e	e	NOUN
ejpam-5567	771	12	)	)	PUNCT
ejpam-5567	771	13	)	)	PUNCT
ejpam-5567	771	14	.	.	PUNCT
ejpam-5567	772	1	definition	definition	NOUN
ejpam-5567	772	2	35	35	NUM
ejpam-5567	772	3	.	.	PUNCT
ejpam-5567	773	1	let	let	AUX
ejpam-5567	773	2	(	(	PUNCT
ejpam-5567	773	3	u1	u1	NOUN
ejpam-5567	773	4	,	,	PUNCT
ejpam-5567	773	5	u2	u2	NOUN
ejpam-5567	773	6	,	,	PUNCT
ejpam-5567	773	7	u3	u3	NOUN
ejpam-5567	773	8	,	,	PUNCT
ejpam-5567	773	9	τ∆	τ∆	PROPN
ejpam-5567	773	10	,	,	PUNCT
ejpam-5567	773	11	a	a	PRON
ejpam-5567	773	12	)	)	PUNCT
ejpam-5567	773	13	be	be	AUX
ejpam-5567	773	14	a	a	DET
ejpam-5567	773	15	ternary	ternary	ADJ
ejpam-5567	773	16	soft	soft	ADJ
ejpam-5567	773	17	topological	topological	ADJ
ejpam-5567	773	18	space	space	NOUN
ejpam-5567	773	19	of	of	ADP
ejpam-5567	773	20	x̃	x̃	PROPN
ejpam-5567	773	21	over	over	ADV
ejpam-5567	773	22	(	(	PUNCT
ejpam-5567	773	23	u1	u1	NOUN
ejpam-5567	773	24	×	×	PROPN
ejpam-5567	773	25	u2	u2	PROPN
ejpam-5567	773	26	×	×	PROPN
ejpam-5567	773	27	u3	u3	PROPN
ejpam-5567	773	28	)	)	PUNCT
ejpam-5567	773	29	and	and	CCONJ
ejpam-5567	773	30	fe	fe	X
ejpam-5567	773	31	,	,	PUNCT
ejpam-5567	773	32	ge	ge	PROPN
ejpam-5567	773	33	˜̃∈˜̃xa	˜̃∈˜̃xa	PROPN
ejpam-5567	773	34	such	such	ADJ
ejpam-5567	773	35	that	that	DET
ejpam-5567	773	36	fe	fe	PROPN
ejpam-5567	773	37	˜̸̃=ge	˜̸̃=ge	PROPN
ejpam-5567	773	38	.	.	PUNCT
ejpam-5567	774	1	then	then	ADV
ejpam-5567	774	2	the	the	DET
ejpam-5567	774	3	ternary	ternary	ADJ
ejpam-5567	774	4	soft	soft	ADJ
ejpam-5567	774	5	topological	topological	ADJ
ejpam-5567	774	6	space	space	NOUN
ejpam-5567	774	7	is	be	AUX
ejpam-5567	774	8	said	say	VERB
ejpam-5567	774	9	to	to	PART
ejpam-5567	774	10	be	be	AUX
ejpam-5567	774	11	a	a	DET
ejpam-5567	774	12	ternary	ternary	ADJ
ejpam-5567	774	13	soft	soft	ADJ
ejpam-5567	774	14	s	s	NOUN
ejpam-5567	774	15	-	-	PUNCT
ejpam-5567	774	16	τo	τo	NOUN
ejpam-5567	774	17	space	space	NOUN
ejpam-5567	774	18	,	,	PUNCT
ejpam-5567	774	19	denoted	denote	VERB
ejpam-5567	774	20	as	as	ADP
ejpam-5567	774	21	s	s	NOUN
ejpam-5567	774	22	-	-	PUNCT
ejpam-5567	774	23	t∆0	t∆0	NOUN
ejpam-5567	774	24	,	,	PUNCT
ejpam-5567	774	25	if	if	SCONJ
ejpam-5567	774	26	there	there	PRON
ejpam-5567	774	27	exists	exist	VERB
ejpam-5567	774	28	at	at	ADV
ejpam-5567	774	29	least	least	ADV
ejpam-5567	774	30	one	one	NUM
ejpam-5567	774	31	ternary	ternary	ADJ
ejpam-5567	774	32	soft	soft	ADJ
ejpam-5567	774	33	s	s	NOUN
ejpam-5567	774	34	-	-	ADJ
ejpam-5567	774	35	open	open	ADJ
ejpam-5567	774	36	set	set	NOUN
ejpam-5567	774	37	(	(	PUNCT
ejpam-5567	774	38	f1	f1	NOUN
ejpam-5567	774	39	,	,	PUNCT
ejpam-5567	774	40	a	a	PRON
ejpam-5567	774	41	)	)	PUNCT
ejpam-5567	774	42	or	or	CCONJ
ejpam-5567	774	43	(	(	PUNCT
ejpam-5567	774	44	f2	f2	PROPN
ejpam-5567	774	45	,	,	PUNCT
ejpam-5567	774	46	a	a	PRON
ejpam-5567	774	47	)	)	PUNCT
ejpam-5567	775	1	such	such	ADJ
ejpam-5567	775	2	that	that	DET
ejpam-5567	775	3	fe	fe	PROPN
ejpam-5567	775	4	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	775	5	,	,	PUNCT
ejpam-5567	775	6	a	a	PRON
ejpam-5567	775	7	)	)	PUNCT
ejpam-5567	775	8	,	,	PUNCT
ejpam-5567	775	9	ge	ge	PROPN
ejpam-5567	775	10	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	775	11	,	,	PUNCT
ejpam-5567	775	12	a	a	PRON
ejpam-5567	775	13	)	)	PUNCT
ejpam-5567	775	14	or	or	CCONJ
ejpam-5567	775	15	fe	fe	NOUN
ejpam-5567	775	16	˜̃∈(f2	˜̃∈(f2	PROPN
ejpam-5567	775	17	,	,	PUNCT
ejpam-5567	775	18	a	a	PRON
ejpam-5567	775	19	)	)	PUNCT
ejpam-5567	775	20	,	,	PUNCT
ejpam-5567	775	21	ge	ge	PROPN
ejpam-5567	775	22	˜̃∈(f2	˜̃∈(f2	PROPN
ejpam-5567	775	23	,	,	PUNCT
ejpam-5567	775	24	a	a	PRON
ejpam-5567	775	25	)	)	PUNCT
ejpam-5567	775	26	.	.	PUNCT
ejpam-5567	776	1	definition	definition	NOUN
ejpam-5567	776	2	36	36	NUM
ejpam-5567	776	3	.	.	PUNCT
ejpam-5567	777	1	let	let	AUX
ejpam-5567	777	2	(	(	PUNCT
ejpam-5567	777	3	u1	u1	NOUN
ejpam-5567	777	4	,	,	PUNCT
ejpam-5567	777	5	u2	u2	NOUN
ejpam-5567	777	6	,	,	PUNCT
ejpam-5567	777	7	u3	u3	NOUN
ejpam-5567	777	8	,	,	PUNCT
ejpam-5567	777	9	τ∆	τ∆	PROPN
ejpam-5567	777	10	,	,	PUNCT
ejpam-5567	777	11	a	a	PRON
ejpam-5567	777	12	)	)	PUNCT
ejpam-5567	777	13	be	be	AUX
ejpam-5567	777	14	a	a	DET
ejpam-5567	777	15	ternary	ternary	ADJ
ejpam-5567	777	16	soft	soft	ADJ
ejpam-5567	777	17	topological	topological	ADJ
ejpam-5567	777	18	space	space	NOUN
ejpam-5567	777	19	of	of	ADP
ejpam-5567	777	20	x̃	x̃	PROPN
ejpam-5567	777	21	over	over	ADV
ejpam-5567	777	22	(	(	PUNCT
ejpam-5567	777	23	u1	u1	PROPN
ejpam-5567	777	24	×u2	×u2	PROPN
ejpam-5567	777	25	×u3	×u3	PROPN
ejpam-5567	777	26	)	)	PUNCT
ejpam-5567	777	27	and	and	CCONJ
ejpam-5567	777	28	fe	fe	X
ejpam-5567	777	29	,	,	PUNCT
ejpam-5567	777	30	ge	ge	PROPN
ejpam-5567	777	31	˜̃∈˜̃xa	˜̃∈˜̃xa	PROPN
ejpam-5567	777	32	such	such	ADJ
ejpam-5567	777	33	that	that	DET
ejpam-5567	777	34	fe	fe	PROPN
ejpam-5567	777	35	˜̸̃=ge	˜̸̃=ge	PROPN
ejpam-5567	777	36	.	.	PUNCT
ejpam-5567	778	1	then	then	ADV
ejpam-5567	778	2	the	the	DET
ejpam-5567	778	3	ternary	ternary	ADJ
ejpam-5567	778	4	soft	soft	ADJ
ejpam-5567	778	5	topological	topological	ADJ
ejpam-5567	778	6	space	space	NOUN
ejpam-5567	778	7	is	be	AUX
ejpam-5567	778	8	said	say	VERB
ejpam-5567	778	9	to	to	PART
ejpam-5567	778	10	be	be	AUX
ejpam-5567	778	11	a	a	DET
ejpam-5567	778	12	ternary	ternary	ADJ
ejpam-5567	778	13	soft	soft	ADJ
ejpam-5567	778	14	s	s	NOUN
ejpam-5567	778	15	-	-	PUNCT
ejpam-5567	778	16	τ1	τ1	NOUN
ejpam-5567	778	17	space	space	NOUN
ejpam-5567	778	18	,	,	PUNCT
ejpam-5567	778	19	denoted	denote	VERB
ejpam-5567	778	20	as	as	ADP
ejpam-5567	778	21	s	s	NOUN
ejpam-5567	778	22	-	-	PUNCT
ejpam-5567	778	23	t∆	t∆	NOUN
ejpam-5567	778	24	1	1	NUM
ejpam-5567	778	25	,	,	PUNCT
ejpam-5567	778	26	if	if	SCONJ
ejpam-5567	778	27	there	there	PRON
ejpam-5567	778	28	exists	exist	VERB
ejpam-5567	778	29	at	at	ADV
ejpam-5567	778	30	least	least	ADV
ejpam-5567	778	31	one	one	NUM
ejpam-5567	778	32	ternary	ternary	ADJ
ejpam-5567	778	33	soft	soft	ADJ
ejpam-5567	778	34	s	s	NOUN
ejpam-5567	778	35	-	-	ADJ
ejpam-5567	778	36	open	open	ADJ
ejpam-5567	778	37	set	set	NOUN
ejpam-5567	778	38	(	(	PUNCT
ejpam-5567	778	39	f1	f1	NOUN
ejpam-5567	778	40	,	,	PUNCT
ejpam-5567	778	41	a	a	PRON
ejpam-5567	778	42	)	)	PUNCT
ejpam-5567	778	43	or	or	CCONJ
ejpam-5567	778	44	(	(	PUNCT
ejpam-5567	778	45	f2	f2	PROPN
ejpam-5567	778	46	,	,	PUNCT
ejpam-5567	778	47	a	a	PRON
ejpam-5567	778	48	)	)	PUNCT
ejpam-5567	778	49	such	such	ADJ
ejpam-5567	778	50	that	that	DET
ejpam-5567	778	51	fe	fe	PROPN
ejpam-5567	778	52	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	778	53	,	,	PUNCT
ejpam-5567	778	54	a	a	PRON
ejpam-5567	778	55	)	)	PUNCT
ejpam-5567	778	56	,	,	PUNCT
ejpam-5567	778	57	ge	ge	PROPN
ejpam-5567	778	58	˜̃	˜̃	NOUN
ejpam-5567	778	59	/∈(f1	/∈(f1	PROPN
ejpam-5567	778	60	,	,	PUNCT
ejpam-5567	778	61	a	a	PRON
ejpam-5567	778	62	)	)	PUNCT
ejpam-5567	778	63	or	or	CCONJ
ejpam-5567	778	64	fe	fe	NOUN
ejpam-5567	778	65	˜̃∈(f2	˜̃∈(f2	PROPN
ejpam-5567	778	66	,	,	PUNCT
ejpam-5567	778	67	a	a	PRON
ejpam-5567	778	68	)	)	PUNCT
ejpam-5567	778	69	,	,	PUNCT
ejpam-5567	778	70	ge	ge	PROPN
ejpam-5567	778	71	˜̃	˜̃	PROPN
ejpam-5567	778	72	/∈(f2	/∈(f2	PROPN
ejpam-5567	778	73	,	,	PUNCT
ejpam-5567	778	74	a	a	PRON
ejpam-5567	778	75	)	)	PUNCT
ejpam-5567	778	76	.	.	PUNCT
ejpam-5567	779	1	definition	definition	NOUN
ejpam-5567	779	2	37	37	NUM
ejpam-5567	779	3	.	.	PUNCT
ejpam-5567	780	1	let	let	AUX
ejpam-5567	780	2	(	(	PUNCT
ejpam-5567	780	3	u1	u1	NOUN
ejpam-5567	780	4	,	,	PUNCT
ejpam-5567	780	5	u2	u2	NOUN
ejpam-5567	780	6	,	,	PUNCT
ejpam-5567	780	7	u3	u3	NOUN
ejpam-5567	780	8	,	,	PUNCT
ejpam-5567	780	9	τ∆	τ∆	PROPN
ejpam-5567	780	10	,	,	PUNCT
ejpam-5567	780	11	a	a	PRON
ejpam-5567	780	12	)	)	PUNCT
ejpam-5567	780	13	be	be	AUX
ejpam-5567	780	14	a	a	DET
ejpam-5567	780	15	ternary	ternary	ADJ
ejpam-5567	780	16	soft	soft	ADJ
ejpam-5567	780	17	topological	topological	ADJ
ejpam-5567	780	18	space	space	NOUN
ejpam-5567	780	19	of	of	ADP
ejpam-5567	780	20	˜̃	˜̃	NOUN
ejpam-5567	780	21	x	x	SYM
ejpam-5567	780	22	over	over	ADP
ejpam-5567	780	23	(	(	PUNCT
ejpam-5567	780	24	u1	u1	PROPN
ejpam-5567	780	25	×u2	×u2	PROPN
ejpam-5567	780	26	×u3	×u3	PROPN
ejpam-5567	780	27	)	)	PUNCT
ejpam-5567	780	28	and	and	CCONJ
ejpam-5567	780	29	fe	fe	X
ejpam-5567	780	30	,	,	PUNCT
ejpam-5567	780	31	ge	ge	PROPN
ejpam-5567	780	32	˜̃∈˜̃xa	˜̃∈˜̃xa	PROPN
ejpam-5567	780	33	such	such	ADJ
ejpam-5567	780	34	that	that	DET
ejpam-5567	780	35	fe	fe	PROPN
ejpam-5567	780	36	˜̸̃=ge	˜̸̃=ge	PROPN
ejpam-5567	780	37	.	.	PUNCT
ejpam-5567	781	1	then	then	ADV
ejpam-5567	781	2	the	the	DET
ejpam-5567	781	3	ternary	ternary	ADJ
ejpam-5567	781	4	soft	soft	ADJ
ejpam-5567	781	5	topological	topological	ADJ
ejpam-5567	781	6	space	space	NOUN
ejpam-5567	781	7	is	be	AUX
ejpam-5567	781	8	said	say	VERB
ejpam-5567	781	9	to	to	PART
ejpam-5567	781	10	be	be	AUX
ejpam-5567	781	11	a	a	DET
ejpam-5567	781	12	ternary	ternary	ADJ
ejpam-5567	781	13	soft	soft	ADJ
ejpam-5567	781	14	s	s	NOUN
ejpam-5567	781	15	-	-	PUNCT
ejpam-5567	781	16	τ2	τ2	ADJ
ejpam-5567	781	17	space	space	NOUN
ejpam-5567	781	18	,	,	PUNCT
ejpam-5567	781	19	denoted	denote	VERB
ejpam-5567	781	20	as	as	ADP
ejpam-5567	781	21	s	s	NOUN
ejpam-5567	781	22	-	-	PUNCT
ejpam-5567	781	23	t∆2	t∆2	ADP
ejpam-5567	781	24	,	,	PUNCT
ejpam-5567	781	25	if	if	SCONJ
ejpam-5567	781	26	there	there	PRON
ejpam-5567	781	27	exists	exist	VERB
ejpam-5567	781	28	at	at	ADV
ejpam-5567	781	29	least	least	ADV
ejpam-5567	781	30	one	one	NUM
ejpam-5567	781	31	ternary	ternary	ADJ
ejpam-5567	781	32	soft	soft	ADJ
ejpam-5567	781	33	s	s	NOUN
ejpam-5567	781	34	-	-	ADJ
ejpam-5567	781	35	open	open	ADJ
ejpam-5567	781	36	set	set	NOUN
ejpam-5567	781	37	such	such	ADJ
ejpam-5567	781	38	that	that	DET
ejpam-5567	781	39	fe	fe	PROPN
ejpam-5567	781	40	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	781	41	,	,	PUNCT
ejpam-5567	781	42	a	a	PRON
ejpam-5567	781	43	)	)	PUNCT
ejpam-5567	781	44	,	,	PUNCT
ejpam-5567	781	45	he	he	PRON
ejpam-5567	781	46	˜̃∈(f2	˜̃∈(f2	PROPN
ejpam-5567	781	47	,	,	PUNCT
ejpam-5567	781	48	a	a	PRON
ejpam-5567	781	49	)	)	PUNCT
ejpam-5567	781	50	and	and	CCONJ
ejpam-5567	781	51	(	(	PUNCT
ejpam-5567	781	52	f1	f1	NOUN
ejpam-5567	781	53	,	,	PUNCT
ejpam-5567	781	54	e)˜̃∩(f2	e)˜̃∩(f2	NOUN
ejpam-5567	781	55	,	,	PUNCT
ejpam-5567	781	56	e	e	NOUN
ejpam-5567	781	57	)	)	PUNCT
ejpam-5567	781	58	=	=	SYM
ejpam-5567	782	1	˜̃∅a	˜̃∅a	PROPN
ejpam-5567	782	2	.	.	PUNCT
ejpam-5567	783	1	m.	m.	NOUN
ejpam-5567	783	2	nawaz	nawaz	PROPN
ejpam-5567	783	3	et	et	PROPN
ejpam-5567	783	4	al	al	PROPN
ejpam-5567	783	5	.	.	PUNCT
ejpam-5567	783	6	/	/	SYM
ejpam-5567	783	7	eur	eur	PROPN
ejpam-5567	783	8	.	.	PUNCT
ejpam-5567	784	1	j.	j.	PROPN
ejpam-5567	784	2	pure	pure	PROPN
ejpam-5567	784	3	appl	appl	PROPN
ejpam-5567	784	4	.	.	PROPN
ejpam-5567	784	5	math	math	PROPN
ejpam-5567	784	6	,	,	PUNCT
ejpam-5567	784	7	18	18	NUM
ejpam-5567	784	8	(	(	PUNCT
ejpam-5567	784	9	1	1	NUM
ejpam-5567	784	10	)	)	PUNCT
ejpam-5567	784	11	(	(	PUNCT
ejpam-5567	784	12	2025	2025	NUM
ejpam-5567	784	13	)	)	PUNCT
ejpam-5567	784	14	,	,	PUNCT
ejpam-5567	784	15	5567	5567	NUM
ejpam-5567	784	16	34	34	NUM
ejpam-5567	784	17	of	of	ADP
ejpam-5567	784	18	45	45	NUM
ejpam-5567	784	19	proposition	proposition	NOUN
ejpam-5567	784	20	10	10	NUM
ejpam-5567	784	21	.	.	PUNCT
ejpam-5567	785	1	let	let	AUX
ejpam-5567	785	2	(	(	PUNCT
ejpam-5567	785	3	u1	u1	NOUN
ejpam-5567	785	4	,	,	PUNCT
ejpam-5567	785	5	u2	u2	NOUN
ejpam-5567	785	6	,	,	PUNCT
ejpam-5567	785	7	u3	u3	NOUN
ejpam-5567	785	8	,	,	PUNCT
ejpam-5567	785	9	τ∆	τ∆	NOUN
ejpam-5567	785	10	,	,	PUNCT
ejpam-5567	785	11	e	e	X
ejpam-5567	785	12	)	)	PUNCT
ejpam-5567	785	13	be	be	AUX
ejpam-5567	785	14	a	a	DET
ejpam-5567	785	15	ternary	ternary	ADJ
ejpam-5567	785	16	soft	soft	ADJ
ejpam-5567	785	17	topological	topological	ADJ
ejpam-5567	785	18	space	space	NOUN
ejpam-5567	785	19	on	on	ADP
ejpam-5567	785	20	˜̃	˜̃	NOUN
ejpam-5567	785	21	x	x	SYM
ejpam-5567	785	22	over	over	ADP
ejpam-5567	785	23	(	(	PUNCT
ejpam-5567	785	24	u1	u1	NOUN
ejpam-5567	785	25	×	×	PROPN
ejpam-5567	785	26	u2	u2	PROPN
ejpam-5567	785	27	×	×	PROPN
ejpam-5567	785	28	u3	u3	PROPN
ejpam-5567	785	29	)	)	PUNCT
ejpam-5567	785	30	.	.	PUNCT
ejpam-5567	786	1	then	then	ADV
ejpam-5567	786	2	each	each	DET
ejpam-5567	786	3	ternary	ternary	ADJ
ejpam-5567	786	4	soft	soft	ADJ
ejpam-5567	786	5	point	point	NOUN
ejpam-5567	786	6	is	be	AUX
ejpam-5567	786	7	ternary	ternary	ADJ
ejpam-5567	786	8	soft	soft	ADJ
ejpam-5567	786	9	s	s	NOUN
ejpam-5567	786	10	-	-	PUNCT
ejpam-5567	786	11	closed	closed	ADJ
ejpam-5567	786	12	if	if	SCONJ
ejpam-5567	786	13	and	and	CCONJ
ejpam-5567	786	14	only	only	ADV
ejpam-5567	786	15	if	if	SCONJ
ejpam-5567	786	16	(	(	PUNCT
ejpam-5567	786	17	u1	u1	NOUN
ejpam-5567	786	18	,	,	PUNCT
ejpam-5567	786	19	u2	u2	NOUN
ejpam-5567	786	20	,	,	PUNCT
ejpam-5567	786	21	u3	u3	NOUN
ejpam-5567	786	22	,	,	PUNCT
ejpam-5567	786	23	τ∆	τ∆	NOUN
ejpam-5567	786	24	,	,	PUNCT
ejpam-5567	786	25	e	e	NOUN
ejpam-5567	786	26	)	)	PUNCT
ejpam-5567	786	27	is	be	AUX
ejpam-5567	786	28	a	a	DET
ejpam-5567	786	29	ternary	ternary	ADJ
ejpam-5567	786	30	soft	soft	ADJ
ejpam-5567	786	31	s	s	NOUN
ejpam-5567	786	32	-	-	ADJ
ejpam-5567	786	33	t∆1	t∆1	ADJ
ejpam-5567	786	34	space	space	NOUN
ejpam-5567	786	35	.	.	PUNCT
ejpam-5567	787	1	proof	proof	NOUN
ejpam-5567	787	2	.	.	PUNCT
ejpam-5567	788	1	let	let	AUX
ejpam-5567	788	2	(	(	PUNCT
ejpam-5567	788	3	u1	u1	NOUN
ejpam-5567	788	4	,	,	PUNCT
ejpam-5567	788	5	u2	u2	NOUN
ejpam-5567	788	6	,	,	PUNCT
ejpam-5567	788	7	u3	u3	NOUN
ejpam-5567	788	8	,	,	PUNCT
ejpam-5567	788	9	τ∆	τ∆	NOUN
ejpam-5567	788	10	,	,	PUNCT
ejpam-5567	788	11	e	e	X
ejpam-5567	788	12	)	)	PUNCT
ejpam-5567	788	13	be	be	AUX
ejpam-5567	788	14	a	a	DET
ejpam-5567	788	15	ternary	ternary	ADJ
ejpam-5567	788	16	soft	soft	ADJ
ejpam-5567	788	17	topological	topological	ADJ
ejpam-5567	788	18	space	space	NOUN
ejpam-5567	788	19	on	on	ADP
ejpam-5567	788	20	˜̃	˜̃	NOUN
ejpam-5567	788	21	x	x	SYM
ejpam-5567	788	22	over	over	ADP
ejpam-5567	788	23	(	(	PUNCT
ejpam-5567	788	24	u1	u1	NOUN
ejpam-5567	788	25	×	×	PROPN
ejpam-5567	788	26	u2	u2	PROPN
ejpam-5567	788	27	×	×	PROPN
ejpam-5567	788	28	u3	u3	PROPN
ejpam-5567	788	29	)	)	PUNCT
ejpam-5567	788	30	.	.	PUNCT
ejpam-5567	789	1	now	now	ADV
ejpam-5567	789	2	to	to	PART
ejpam-5567	789	3	prove	prove	VERB
ejpam-5567	789	4	,	,	PUNCT
ejpam-5567	789	5	let	let	VERB
ejpam-5567	789	6	(	(	PUNCT
ejpam-5567	789	7	u1	u1	NOUN
ejpam-5567	789	8	,	,	PUNCT
ejpam-5567	789	9	u2	u2	NOUN
ejpam-5567	789	10	,	,	PUNCT
ejpam-5567	789	11	u3	u3	NOUN
ejpam-5567	789	12	,	,	PUNCT
ejpam-5567	789	13	τ∆	τ∆	NOUN
ejpam-5567	789	14	,	,	PUNCT
ejpam-5567	789	15	e	e	X
ejpam-5567	789	16	)	)	PUNCT
ejpam-5567	789	17	be	be	AUX
ejpam-5567	789	18	a	a	DET
ejpam-5567	789	19	ternary	ternary	ADJ
ejpam-5567	789	20	soft	soft	ADJ
ejpam-5567	789	21	s	s	NOUN
ejpam-5567	789	22	-	-	ADJ
ejpam-5567	789	23	t∆1	t∆1	ADJ
ejpam-5567	789	24	space	space	NOUN
ejpam-5567	789	25	.	.	PUNCT
ejpam-5567	790	1	suppose	suppose	VERB
ejpam-5567	790	2	ternary	ternary	ADJ
ejpam-5567	790	3	soft	soft	ADJ
ejpam-5567	790	4	points	point	NOUN
ejpam-5567	790	5	fe1	fe1	PROPN
ejpam-5567	790	6	˜̃≡(f	˜̃≡(f	ADJ
ejpam-5567	790	7	,	,	PUNCT
ejpam-5567	790	8	e	e	NOUN
ejpam-5567	790	9	)	)	PUNCT
ejpam-5567	790	10	and	and	CCONJ
ejpam-5567	790	11	ge1	ge1	ADJ
ejpam-5567	790	12	˜̃≡(g	˜̃≡(g	X
ejpam-5567	790	13	,	,	PUNCT
ejpam-5567	790	14	e	e	NOUN
ejpam-5567	790	15	)	)	PUNCT
ejpam-5567	790	16	are	be	AUX
ejpam-5567	790	17	ternary	ternary	ADJ
ejpam-5567	790	18	soft	soft	ADJ
ejpam-5567	790	19	s	s	NOUN
ejpam-5567	790	20	-	-	PUNCT
ejpam-5567	790	21	closed	closed	ADJ
ejpam-5567	790	22	and	and	CCONJ
ejpam-5567	790	23	fe1	fe1	PROPN
ejpam-5567	790	24	̸=	̸=	PROPN
ejpam-5567	790	25	ge1	ge1	PROPN
ejpam-5567	790	26	.	.	PUNCT
ejpam-5567	791	1	then	then	ADV
ejpam-5567	791	2	(	(	PUNCT
ejpam-5567	791	3	f	f	X
ejpam-5567	791	4	,	,	PUNCT
ejpam-5567	791	5	e)c	e)c	PUNCT
ejpam-5567	791	6	and	and	CCONJ
ejpam-5567	791	7	(	(	PUNCT
ejpam-5567	791	8	g	g	NOUN
ejpam-5567	791	9	,	,	PUNCT
ejpam-5567	791	10	e)c	e)c	X
ejpam-5567	791	11	are	be	AUX
ejpam-5567	791	12	ternary	ternary	ADJ
ejpam-5567	791	13	soft	soft	ADJ
ejpam-5567	791	14	s	s	NOUN
ejpam-5567	791	15	-	-	NOUN
ejpam-5567	791	16	open	open	ADJ
ejpam-5567	791	17	in	in	ADP
ejpam-5567	791	18	(	(	PUNCT
ejpam-5567	791	19	u1	u1	NOUN
ejpam-5567	791	20	,	,	PUNCT
ejpam-5567	791	21	u2	u2	NOUN
ejpam-5567	791	22	,	,	PUNCT
ejpam-5567	791	23	u3	u3	NOUN
ejpam-5567	791	24	,	,	PUNCT
ejpam-5567	791	25	τ∆	τ∆	NOUN
ejpam-5567	791	26	,	,	PUNCT
ejpam-5567	791	27	e	e	NOUN
ejpam-5567	791	28	)	)	PUNCT
ejpam-5567	791	29	.	.	PUNCT
ejpam-5567	792	1	by	by	ADP
ejpam-5567	792	2	definition	definition	NOUN
ejpam-5567	792	3	,	,	PUNCT
ejpam-5567	792	4	(	(	PUNCT
ejpam-5567	792	5	f	f	X
ejpam-5567	792	6	,	,	PUNCT
ejpam-5567	792	7	e)c	e)c	X
ejpam-5567	792	8	=	=	PUNCT
ejpam-5567	793	1	(	(	PUNCT
ejpam-5567	793	2	f	f	PROPN
ejpam-5567	793	3	c	c	PROPN
ejpam-5567	793	4	,	,	PUNCT
ejpam-5567	793	5	e	e	NOUN
ejpam-5567	793	6	)	)	PUNCT
ejpam-5567	793	7	where	where	SCONJ
ejpam-5567	793	8	f	f	PROPN
ejpam-5567	793	9	c(e1	c(e1	NOUN
ejpam-5567	793	10	)	)	PUNCT
ejpam-5567	794	1	=	=	NOUN
ejpam-5567	794	2	˜̃	˜̃	NOUN
ejpam-5567	794	3	x	x	NOUN
ejpam-5567	794	4	−	−	PROPN
ejpam-5567	794	5	f	f	X
ejpam-5567	794	6	(	(	PUNCT
ejpam-5567	794	7	e1	e1	PROPN
ejpam-5567	794	8	)	)	PUNCT
ejpam-5567	794	9	and	and	CCONJ
ejpam-5567	794	10	(	(	PUNCT
ejpam-5567	794	11	g	g	NOUN
ejpam-5567	794	12	,	,	PUNCT
ejpam-5567	794	13	e)c	e)c	X
ejpam-5567	794	14	=	=	SYM
ejpam-5567	794	15	(	(	PUNCT
ejpam-5567	794	16	gc	gc	PROPN
ejpam-5567	794	17	,	,	PUNCT
ejpam-5567	794	18	e	e	NOUN
ejpam-5567	794	19	)	)	PUNCT
ejpam-5567	794	20	where	where	SCONJ
ejpam-5567	794	21	gc(e1	gc(e1	ADV
ejpam-5567	794	22	)	)	PUNCT
ejpam-5567	795	1	=	=	NOUN
ejpam-5567	795	2	˜̃	˜̃	NOUN
ejpam-5567	795	3	x	x	NOUN
ejpam-5567	795	4	−	−	NOUN
ejpam-5567	795	5	g(e1	g(e1	NOUN
ejpam-5567	795	6	)	)	PUNCT
ejpam-5567	795	7	.	.	PUNCT
ejpam-5567	796	1	since	since	SCONJ
ejpam-5567	796	2	f	f	PROPN
ejpam-5567	796	3	(	(	PUNCT
ejpam-5567	796	4	e1	e1	PROPN
ejpam-5567	796	5	)	)	PUNCT
ejpam-5567	796	6	˜̃∩g(e1	˜̃∩g(e1	NOUN
ejpam-5567	796	7	)	)	PUNCT
ejpam-5567	796	8	=	=	SYM
ejpam-5567	796	9	˜̃∅	˜̃∅	ADJ
ejpam-5567	796	10	,	,	PUNCT
ejpam-5567	796	11	this	this	PRON
ejpam-5567	796	12	implies	imply	VERB
ejpam-5567	796	13	f	f	PROPN
ejpam-5567	796	14	(	(	PUNCT
ejpam-5567	796	15	e1	e1	PROPN
ejpam-5567	796	16	)	)	PUNCT
ejpam-5567	796	17	=	=	SYM
ejpam-5567	796	18	˜̃	˜̃	NOUN
ejpam-5567	796	19	x	x	NOUN
ejpam-5567	796	20	−	−	NOUN
ejpam-5567	796	21	g(e1	g(e1	NOUN
ejpam-5567	796	22	)	)	PUNCT
ejpam-5567	796	23	=	=	SYM
ejpam-5567	796	24	gc(e1)∀e	gc(e1)∀e	X
ejpam-5567	796	25	.	.	PUNCT
ejpam-5567	797	1	thus	thus	ADV
ejpam-5567	797	2	f	f	PROPN
ejpam-5567	797	3	(	(	PUNCT
ejpam-5567	797	4	e1	e1	PROPN
ejpam-5567	797	5	)	)	PUNCT
ejpam-5567	797	6	=	=	PUNCT
ejpam-5567	797	7	(	(	PUNCT
ejpam-5567	797	8	f	f	X
ejpam-5567	797	9	,	,	PUNCT
ejpam-5567	797	10	e)˜̃∈(g	e)˜̃∈(g	NOUN
ejpam-5567	797	11	,	,	PUNCT
ejpam-5567	797	12	e)c	e)c	X
ejpam-5567	797	13	.	.	PUNCT
ejpam-5567	798	1	similarly	similarly	ADV
ejpam-5567	798	2	,	,	PUNCT
ejpam-5567	798	3	g(e1	g(e1	NOUN
ejpam-5567	798	4	)	)	PUNCT
ejpam-5567	799	1	=	=	PUNCT
ejpam-5567	799	2	(	(	PUNCT
ejpam-5567	799	3	g	g	NOUN
ejpam-5567	799	4	,	,	PUNCT
ejpam-5567	799	5	e)˜̃∈(f	e)˜̃∈(f	NUM
ejpam-5567	799	6	,	,	PUNCT
ejpam-5567	799	7	e)c	e)c	X
ejpam-5567	799	8	.	.	PUNCT
ejpam-5567	800	1	hence	hence	ADV
ejpam-5567	800	2	,	,	PUNCT
ejpam-5567	800	3	e1	e1	NOUN
ejpam-5567	800	4	˜̃∈(g	˜̃∈(g	NOUN
ejpam-5567	800	5	,	,	PUNCT
ejpam-5567	800	6	e)c	e)c	X
ejpam-5567	800	7	,	,	PUNCT
ejpam-5567	800	8	g(e1	g(e1	NOUN
ejpam-5567	800	9	)	)	PUNCT
ejpam-5567	800	10	˜̃	˜̃	NOUN
ejpam-5567	800	11	/∈(g	/∈(g	NOUN
ejpam-5567	800	12	,	,	PUNCT
ejpam-5567	800	13	e)c	e)c	X
ejpam-5567	800	14	,	,	PUNCT
ejpam-5567	800	15	and	and	CCONJ
ejpam-5567	800	16	f	f	PROPN
ejpam-5567	800	17	(	(	PUNCT
ejpam-5567	800	18	e1	e1	PROPN
ejpam-5567	800	19	)	)	PUNCT
ejpam-5567	800	20	˜̃	˜̃	NOUN
ejpam-5567	800	21	/∈(f	/∈(f	NOUN
ejpam-5567	800	22	,	,	PUNCT
ejpam-5567	800	23	e)c	e)c	X
ejpam-5567	800	24	,	,	PUNCT
ejpam-5567	800	25	g(e1	g(e1	NOUN
ejpam-5567	800	26	)	)	PUNCT
ejpam-5567	800	27	˜̃∈(f	˜̃∈(f	NOUN
ejpam-5567	800	28	,	,	PUNCT
ejpam-5567	800	29	e)c	e)c	X
ejpam-5567	800	30	.	.	PUNCT
ejpam-5567	801	1	this	this	PRON
ejpam-5567	801	2	proves	prove	VERB
ejpam-5567	801	3	that	that	SCONJ
ejpam-5567	801	4	(	(	PUNCT
ejpam-5567	801	5	u1	u1	NOUN
ejpam-5567	801	6	,	,	PUNCT
ejpam-5567	801	7	u2	u2	NOUN
ejpam-5567	801	8	,	,	PUNCT
ejpam-5567	801	9	u3	u3	NOUN
ejpam-5567	801	10	,	,	PUNCT
ejpam-5567	801	11	τ∆	τ∆	NOUN
ejpam-5567	801	12	,	,	PUNCT
ejpam-5567	801	13	e	e	NOUN
ejpam-5567	801	14	)	)	PUNCT
ejpam-5567	801	15	is	be	AUX
ejpam-5567	801	16	a	a	DET
ejpam-5567	801	17	ternary	ternary	ADJ
ejpam-5567	801	18	soft	soft	ADJ
ejpam-5567	801	19	s	s	NOUN
ejpam-5567	801	20	-	-	PUNCT
ejpam-5567	801	21	t1	t1	NOUN
ejpam-5567	801	22	space	space	NOUN
ejpam-5567	801	23	.	.	PUNCT
ejpam-5567	802	1	conversely	conversely	ADV
ejpam-5567	802	2	,	,	PUNCT
ejpam-5567	802	3	let	let	VERB
ejpam-5567	802	4	(	(	PUNCT
ejpam-5567	802	5	u1	u1	NOUN
ejpam-5567	802	6	,	,	PUNCT
ejpam-5567	802	7	u2	u2	NOUN
ejpam-5567	802	8	,	,	PUNCT
ejpam-5567	802	9	u3	u3	NOUN
ejpam-5567	802	10	,	,	PUNCT
ejpam-5567	802	11	τ∆	τ∆	NOUN
ejpam-5567	802	12	,	,	PUNCT
ejpam-5567	802	13	e	e	X
ejpam-5567	802	14	)	)	PUNCT
ejpam-5567	802	15	be	be	AUX
ejpam-5567	802	16	a	a	DET
ejpam-5567	802	17	ternary	ternary	ADJ
ejpam-5567	802	18	soft	soft	ADJ
ejpam-5567	802	19	s	s	NOUN
ejpam-5567	802	20	-	-	ADJ
ejpam-5567	802	21	t∆1	t∆1	ADJ
ejpam-5567	802	22	space	space	NOUN
ejpam-5567	802	23	.	.	PUNCT
ejpam-5567	803	1	to	to	PART
ejpam-5567	803	2	prove	prove	VERB
ejpam-5567	803	3	that	that	SCONJ
ejpam-5567	803	4	f	f	PROPN
ejpam-5567	803	5	(	(	PUNCT
ejpam-5567	803	6	e1	e1	PROPN
ejpam-5567	803	7	)	)	PUNCT
ejpam-5567	803	8	=	=	PUNCT
ejpam-5567	803	9	(	(	PUNCT
ejpam-5567	803	10	f	f	X
ejpam-5567	803	11	,	,	PUNCT
ejpam-5567	803	12	e)˜̃∈	e)˜̃∈	PROPN
ejpam-5567	803	13	˜̃	˜̃	NOUN
ejpam-5567	804	1	x	x	VERB
ejpam-5567	804	2	is	be	AUX
ejpam-5567	804	3	ternary	ternary	ADJ
ejpam-5567	804	4	soft	soft	ADJ
ejpam-5567	804	5	s	s	NOUN
ejpam-5567	804	6	-	-	PUNCT
ejpam-5567	804	7	closed	closed	ADJ
ejpam-5567	804	8	,	,	PUNCT
ejpam-5567	804	9	we	we	PRON
ejpam-5567	804	10	show	show	VERB
ejpam-5567	804	11	that	that	SCONJ
ejpam-5567	804	12	(	(	PUNCT
ejpam-5567	804	13	f	f	X
ejpam-5567	804	14	,	,	PUNCT
ejpam-5567	804	15	e)c	e)c	X
ejpam-5567	804	16	is	be	AUX
ejpam-5567	804	17	ternary	ternary	ADJ
ejpam-5567	804	18	soft	soft	ADJ
ejpam-5567	804	19	s	s	NOUN
ejpam-5567	804	20	-	-	NOUN
ejpam-5567	804	21	open	open	ADJ
ejpam-5567	804	22	in	in	ADP
ejpam-5567	804	23	(	(	PUNCT
ejpam-5567	804	24	u1	u1	NOUN
ejpam-5567	804	25	,	,	PUNCT
ejpam-5567	804	26	u2	u2	NOUN
ejpam-5567	804	27	,	,	PUNCT
ejpam-5567	804	28	u3	u3	NOUN
ejpam-5567	804	29	,	,	PUNCT
ejpam-5567	804	30	τ∆	τ∆	NOUN
ejpam-5567	804	31	,	,	PUNCT
ejpam-5567	804	32	e	e	NOUN
ejpam-5567	804	33	)	)	PUNCT
ejpam-5567	804	34	.	.	PUNCT
ejpam-5567	805	1	let	let	VERB
ejpam-5567	805	2	ge1	ge1	VERB
ejpam-5567	805	3	=	=	PUNCT
ejpam-5567	805	4	(	(	PUNCT
ejpam-5567	805	5	g	g	NOUN
ejpam-5567	805	6	,	,	PUNCT
ejpam-5567	805	7	e)˜̃∈(f	e)˜̃∈(f	NUM
ejpam-5567	805	8	,	,	PUNCT
ejpam-5567	805	9	e)c	e)c	X
ejpam-5567	805	10	be	be	AUX
ejpam-5567	805	11	ternary	ternary	ADJ
ejpam-5567	805	12	soft	soft	ADJ
ejpam-5567	805	13	s	s	NOUN
ejpam-5567	805	14	-	-	PUNCT
ejpam-5567	805	15	closed	closed	ADJ
ejpam-5567	805	16	.	.	PUNCT
ejpam-5567	806	1	then	then	ADV
ejpam-5567	806	2	fe1	fe1	PROPN
ejpam-5567	806	3	̸=	̸=	PROPN
ejpam-5567	806	4	ge1	ge1	PROPN
ejpam-5567	806	5	.	.	PUNCT
ejpam-5567	807	1	since	since	SCONJ
ejpam-5567	807	2	(	(	PUNCT
ejpam-5567	807	3	u1	u1	PROPN
ejpam-5567	807	4	,	,	PUNCT
ejpam-5567	807	5	u2	u2	NOUN
ejpam-5567	807	6	,	,	PUNCT
ejpam-5567	807	7	u3	u3	NOUN
ejpam-5567	807	8	,	,	PUNCT
ejpam-5567	807	9	τ∆	τ∆	NOUN
ejpam-5567	807	10	,	,	PUNCT
ejpam-5567	807	11	e	e	NOUN
ejpam-5567	807	12	)	)	PUNCT
ejpam-5567	807	13	is	be	AUX
ejpam-5567	807	14	a	a	DET
ejpam-5567	807	15	ternary	ternary	ADJ
ejpam-5567	807	16	soft	soft	ADJ
ejpam-5567	807	17	s	s	NOUN
ejpam-5567	807	18	-	-	ADJ
ejpam-5567	807	19	t∆1	t∆1	ADJ
ejpam-5567	807	20	space	space	NOUN
ejpam-5567	807	21	,	,	PUNCT
ejpam-5567	807	22	there	there	PRON
ejpam-5567	807	23	exists	exist	VERB
ejpam-5567	807	24	a	a	DET
ejpam-5567	807	25	ternary	ternary	ADJ
ejpam-5567	807	26	soft	soft	ADJ
ejpam-5567	807	27	s	s	NOUN
ejpam-5567	807	28	-	-	ADJ
ejpam-5567	807	29	open	open	ADJ
ejpam-5567	807	30	set	set	NOUN
ejpam-5567	807	31	(	(	PUNCT
ejpam-5567	807	32	l	l	NOUN
ejpam-5567	807	33	,	,	PUNCT
ejpam-5567	807	34	e	e	NOUN
ejpam-5567	807	35	)	)	PUNCT
ejpam-5567	807	36	such	such	ADJ
ejpam-5567	807	37	that	that	DET
ejpam-5567	807	38	g(e1	g(e1	NOUN
ejpam-5567	807	39	)	)	PUNCT
ejpam-5567	807	40	˜̃∈(l	˜̃∈(l	X
ejpam-5567	807	41	,	,	PUNCT
ejpam-5567	807	42	e	e	NOUN
ejpam-5567	807	43	)	)	PUNCT
ejpam-5567	807	44	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	807	45	,	,	PUNCT
ejpam-5567	807	46	e)c	e)c	X
ejpam-5567	807	47	.	.	PUNCT
ejpam-5567	808	1	hence	hence	ADV
ejpam-5567	808	2	ge1	ge1	PROPN
ejpam-5567	808	3	˜̃∈˜̃∪{(l	˜̃∈˜̃∪{(l	PROPN
ejpam-5567	808	4	,	,	PUNCT
ejpam-5567	808	5	e	e	NOUN
ejpam-5567	808	6	)	)	PUNCT
ejpam-5567	808	7	:	:	PUNCT
ejpam-5567	808	8	ge1	ge1	NOUN
ejpam-5567	808	9	˜̃∈(f	˜̃∈(f	NOUN
ejpam-5567	808	10	,	,	PUNCT
ejpam-5567	808	11	e)c	e)c	X
ejpam-5567	808	12	}	}	PUNCT
ejpam-5567	808	13	.	.	PUNCT
ejpam-5567	809	1	this	this	PRON
ejpam-5567	809	2	proves	prove	VERB
ejpam-5567	809	3	that	that	SCONJ
ejpam-5567	809	4	(	(	PUNCT
ejpam-5567	809	5	f	f	X
ejpam-5567	809	6	,	,	PUNCT
ejpam-5567	809	7	e)c	e)c	X
ejpam-5567	809	8	is	be	AUX
ejpam-5567	809	9	ternary	ternary	ADJ
ejpam-5567	809	10	soft	soft	ADJ
ejpam-5567	809	11	s	s	NOUN
ejpam-5567	809	12	-	-	NOUN
ejpam-5567	809	13	open	open	ADJ
ejpam-5567	809	14	in	in	ADP
ejpam-5567	809	15	(	(	PUNCT
ejpam-5567	809	16	u1	u1	NOUN
ejpam-5567	809	17	,	,	PUNCT
ejpam-5567	809	18	u2	u2	NOUN
ejpam-5567	809	19	,	,	PUNCT
ejpam-5567	809	20	u3	u3	NOUN
ejpam-5567	809	21	,	,	PUNCT
ejpam-5567	809	22	τ∆	τ∆	NOUN
ejpam-5567	809	23	,	,	PUNCT
ejpam-5567	809	24	e	e	NOUN
ejpam-5567	809	25	)	)	PUNCT
ejpam-5567	809	26	.	.	PUNCT
ejpam-5567	810	1	therefore	therefore	ADV
ejpam-5567	810	2	,	,	PUNCT
ejpam-5567	810	3	fe1	fe1	PROPN
ejpam-5567	810	4	=	=	SYM
ejpam-5567	810	5	(	(	PUNCT
ejpam-5567	810	6	f	f	X
ejpam-5567	810	7	,	,	PUNCT
ejpam-5567	810	8	e	e	NOUN
ejpam-5567	810	9	)	)	PUNCT
ejpam-5567	810	10	is	be	AUX
ejpam-5567	810	11	ternary	ternary	ADJ
ejpam-5567	810	12	soft	soft	ADJ
ejpam-5567	810	13	s	s	NOUN
ejpam-5567	810	14	-	-	PUNCT
ejpam-5567	810	15	closed	closed	ADJ
ejpam-5567	810	16	in	in	ADP
ejpam-5567	810	17	(	(	PUNCT
ejpam-5567	810	18	u1	u1	NOUN
ejpam-5567	810	19	,	,	PUNCT
ejpam-5567	810	20	u2	u2	NOUN
ejpam-5567	810	21	,	,	PUNCT
ejpam-5567	810	22	u3	u3	NOUN
ejpam-5567	810	23	,	,	PUNCT
ejpam-5567	810	24	τ∆	τ∆	NOUN
ejpam-5567	810	25	,	,	PUNCT
ejpam-5567	810	26	e	e	NOUN
ejpam-5567	810	27	)	)	PUNCT
ejpam-5567	810	28	.	.	PUNCT
ejpam-5567	811	1	proposition	proposition	NOUN
ejpam-5567	811	2	11	11	NUM
ejpam-5567	811	3	.	.	PUNCT
ejpam-5567	812	1	let	let	AUX
ejpam-5567	812	2	(	(	PUNCT
ejpam-5567	812	3	u1	u1	NOUN
ejpam-5567	812	4	,	,	PUNCT
ejpam-5567	812	5	u2	u2	NOUN
ejpam-5567	812	6	,	,	PUNCT
ejpam-5567	812	7	u3	u3	NOUN
ejpam-5567	812	8	,	,	PUNCT
ejpam-5567	812	9	τ∆	τ∆	NOUN
ejpam-5567	812	10	,	,	PUNCT
ejpam-5567	812	11	e	e	X
ejpam-5567	812	12	)	)	PUNCT
ejpam-5567	812	13	be	be	AUX
ejpam-5567	812	14	a	a	DET
ejpam-5567	812	15	ternary	ternary	ADJ
ejpam-5567	812	16	soft	soft	ADJ
ejpam-5567	812	17	topological	topological	ADJ
ejpam-5567	812	18	space	space	NOUN
ejpam-5567	812	19	of	of	ADP
ejpam-5567	812	20	∅	∅	NOUN
ejpam-5567	812	21	over	over	ADV
ejpam-5567	812	22	(	(	PUNCT
ejpam-5567	812	23	u1	u1	NOUN
ejpam-5567	812	24	×	×	PROPN
ejpam-5567	812	25	u2	u2	PROPN
ejpam-5567	812	26	×	×	PROPN
ejpam-5567	812	27	u3	u3	PROPN
ejpam-5567	812	28	)	)	PUNCT
ejpam-5567	812	29	and	and	CCONJ
ejpam-5567	812	30	fe	fe	X
ejpam-5567	812	31	,	,	PUNCT
ejpam-5567	812	32	ge	ge	PROPN
ejpam-5567	812	33	˜̃∈∅	˜̃∈∅	PROPN
ejpam-5567	812	34	such	such	ADJ
ejpam-5567	812	35	that	that	DET
ejpam-5567	812	36	fe	fe	X
ejpam-5567	812	37	=	=	NOUN
ejpam-5567	812	38	̸	̸	X
ejpam-5567	812	39	ge	ge	PROPN
ejpam-5567	812	40	.	.	PUNCT
ejpam-5567	813	1	if	if	SCONJ
ejpam-5567	813	2	there	there	PRON
ejpam-5567	813	3	exist	exist	VERB
ejpam-5567	813	4	ternary	ternary	ADJ
ejpam-5567	813	5	soft	soft	ADJ
ejpam-5567	813	6	s	s	NOUN
ejpam-5567	813	7	-	-	ADJ
ejpam-5567	813	8	open	open	ADJ
ejpam-5567	813	9	sets	set	NOUN
ejpam-5567	813	10	(	(	PUNCT
ejpam-5567	813	11	f1	f1	NOUN
ejpam-5567	813	12	,	,	PUNCT
ejpam-5567	813	13	e	e	NOUN
ejpam-5567	813	14	)	)	PUNCT
ejpam-5567	813	15	and	and	CCONJ
ejpam-5567	813	16	(	(	PUNCT
ejpam-5567	813	17	f2	f2	PROPN
ejpam-5567	813	18	,	,	PUNCT
ejpam-5567	813	19	e	e	NOUN
ejpam-5567	813	20	)	)	PUNCT
ejpam-5567	813	21	such	such	ADJ
ejpam-5567	813	22	that	that	DET
ejpam-5567	813	23	fe	fe	X
ejpam-5567	813	24	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	813	25	,	,	PUNCT
ejpam-5567	813	26	e	e	NOUN
ejpam-5567	813	27	)	)	PUNCT
ejpam-5567	813	28	and	and	CCONJ
ejpam-5567	813	29	ge	ge	PROPN
ejpam-5567	813	30	˜̃∈(f2	˜̃∈(f2	PROPN
ejpam-5567	813	31	,	,	PUNCT
ejpam-5567	813	32	e)c	e)c	NOUN
ejpam-5567	813	33	,	,	PUNCT
ejpam-5567	813	34	then	then	ADV
ejpam-5567	813	35	(	(	PUNCT
ejpam-5567	813	36	u1	u1	NOUN
ejpam-5567	813	37	,	,	PUNCT
ejpam-5567	813	38	u2	u2	NOUN
ejpam-5567	813	39	,	,	PUNCT
ejpam-5567	813	40	u3	u3	NOUN
ejpam-5567	813	41	,	,	PUNCT
ejpam-5567	813	42	τ∆	τ∆	NOUN
ejpam-5567	813	43	,	,	PUNCT
ejpam-5567	813	44	e	e	NOUN
ejpam-5567	813	45	)	)	PUNCT
ejpam-5567	813	46	is	be	AUX
ejpam-5567	813	47	a	a	DET
ejpam-5567	813	48	ternary	ternary	ADJ
ejpam-5567	813	49	soft	soft	ADJ
ejpam-5567	813	50	s	s	NOUN
ejpam-5567	813	51	-	-	PUNCT
ejpam-5567	813	52	t∆0	t∆0	NOUN
ejpam-5567	813	53	space	space	NOUN
ejpam-5567	813	54	and	and	CCONJ
ejpam-5567	813	55	(	(	PUNCT
ejpam-5567	813	56	u1	u1	PROPN
ejpam-5567	813	57	,	,	PUNCT
ejpam-5567	813	58	u2	u2	NOUN
ejpam-5567	813	59	,	,	PUNCT
ejpam-5567	813	60	u3	u3	NOUN
ejpam-5567	813	61	,	,	PUNCT
ejpam-5567	813	62	τ∆	τ∆	NOUN
ejpam-5567	813	63	,	,	PUNCT
ejpam-5567	813	64	e	e	NOUN
ejpam-5567	813	65	)	)	PUNCT
ejpam-5567	813	66	is	be	AUX
ejpam-5567	813	67	a	a	DET
ejpam-5567	813	68	ternary	ternary	ADJ
ejpam-5567	813	69	soft	soft	ADJ
ejpam-5567	813	70	s	s	NOUN
ejpam-5567	813	71	-	-	PUNCT
ejpam-5567	813	72	t∆0	t∆0	NOUN
ejpam-5567	813	73	space	space	NOUN
ejpam-5567	813	74	for	for	ADP
ejpam-5567	813	75	each	each	DET
ejpam-5567	813	76	e˜̃∈e	e˜̃∈e	NOUN
ejpam-5567	813	77	.	.	PUNCT
ejpam-5567	814	1	proof	proof	NOUN
ejpam-5567	814	2	..	..	PUNCT
ejpam-5567	814	3	clearly	clearly	ADV
ejpam-5567	814	4	,	,	PUNCT
ejpam-5567	814	5	ge1	ge1	NOUN
ejpam-5567	814	6	˜̃∈(f1	˜̃∈(f1	NOUN
ejpam-5567	814	7	,	,	PUNCT
ejpam-5567	814	8	e)c	e)c	X
ejpam-5567	814	9	=	=	PUNCT
ejpam-5567	814	10	(	(	PUNCT
ejpam-5567	814	11	f	f	PROPN
ejpam-5567	814	12	c	c	PROPN
ejpam-5567	814	13	1	1	NUM
ejpam-5567	814	14	,	,	PUNCT
ejpam-5567	814	15	e	e	NOUN
ejpam-5567	814	16	)	)	PUNCT
ejpam-5567	814	17	implies	imply	VERB
ejpam-5567	814	18	ge1	ge1	NOUN
ejpam-5567	814	19	˜̃	˜̃	NOUN
ejpam-5567	814	20	/∈(f2	/∈(f2	NOUN
ejpam-5567	814	21	,	,	PUNCT
ejpam-5567	814	22	e	e	NOUN
ejpam-5567	814	23	)	)	PUNCT
ejpam-5567	814	24	.	.	PUNCT
ejpam-5567	815	1	similarly	similarly	ADV
ejpam-5567	815	2	,	,	PUNCT
ejpam-5567	815	3	fe	fe	X
ejpam-5567	815	4	˜̃∈(f2	˜̃∈(f2	PROPN
ejpam-5567	815	5	,	,	PUNCT
ejpam-5567	815	6	e)c	e)c	X
ejpam-5567	815	7	=	=	PUNCT
ejpam-5567	815	8	(	(	PUNCT
ejpam-5567	815	9	f	f	PROPN
ejpam-5567	815	10	c	c	PROPN
ejpam-5567	815	11	2	2	NUM
ejpam-5567	815	12	,	,	PUNCT
ejpam-5567	815	13	e	e	NOUN
ejpam-5567	815	14	)	)	PUNCT
ejpam-5567	815	15	implies	imply	VERB
ejpam-5567	815	16	fe	fe	X
ejpam-5567	815	17	˜̃	˜̃	NOUN
ejpam-5567	815	18	/∈(f2	/∈(f2	PUNCT
ejpam-5567	815	19	,	,	PUNCT
ejpam-5567	815	20	e	e	NOUN
ejpam-5567	815	21	)	)	PUNCT
ejpam-5567	815	22	.	.	PUNCT
ejpam-5567	816	1	thus	thus	ADV
ejpam-5567	816	2	,	,	PUNCT
ejpam-5567	816	3	we	we	PRON
ejpam-5567	816	4	have	have	VERB
ejpam-5567	816	5	fe	fe	ADJ
ejpam-5567	816	6	˜̃∈(f1	˜̃∈(f1	NOUN
ejpam-5567	816	7	,	,	PUNCT
ejpam-5567	816	8	e	e	NOUN
ejpam-5567	816	9	)	)	PUNCT
ejpam-5567	816	10	,	,	PUNCT
ejpam-5567	816	11	ge	ge	PROPN
ejpam-5567	816	12	˜̃	˜̃	NOUN
ejpam-5567	816	13	/∈(f1	/∈(f1	PUNCT
ejpam-5567	816	14	,	,	PUNCT
ejpam-5567	816	15	e	e	NOUN
ejpam-5567	816	16	)	)	PUNCT
ejpam-5567	816	17	or	or	CCONJ
ejpam-5567	816	18	ge	ge	PROPN
ejpam-5567	816	19	˜̃∈(f2	˜̃∈(f2	PROPN
ejpam-5567	816	20	,	,	PUNCT
ejpam-5567	816	21	e	e	NOUN
ejpam-5567	816	22	)	)	PUNCT
ejpam-5567	816	23	,	,	PUNCT
ejpam-5567	816	24	fe	fe	X
ejpam-5567	816	25	˜̃	˜̃	NOUN
ejpam-5567	816	26	/∈(f2	/∈(f2	PUNCT
ejpam-5567	816	27	,	,	PUNCT
ejpam-5567	816	28	e	e	NOUN
ejpam-5567	816	29	)	)	PUNCT
ejpam-5567	816	30	.	.	PUNCT
ejpam-5567	817	1	this	this	PRON
ejpam-5567	817	2	proves	prove	VERB
ejpam-5567	817	3	(	(	PUNCT
ejpam-5567	817	4	u1	u1	NOUN
ejpam-5567	817	5	,	,	PUNCT
ejpam-5567	817	6	u2	u2	NOUN
ejpam-5567	817	7	,	,	PUNCT
ejpam-5567	817	8	u3	u3	NOUN
ejpam-5567	817	9	,	,	PUNCT
ejpam-5567	817	10	τ∆	τ∆	NOUN
ejpam-5567	817	11	,	,	PUNCT
ejpam-5567	817	12	e	e	NOUN
ejpam-5567	817	13	)	)	PUNCT
ejpam-5567	817	14	is	be	AUX
ejpam-5567	817	15	a	a	DET
ejpam-5567	817	16	ternary	ternary	ADJ
ejpam-5567	817	17	soft	soft	ADJ
ejpam-5567	817	18	s	s	NOUN
ejpam-5567	817	19	-	-	PUNCT
ejpam-5567	817	20	t∆0	t∆0	NOUN
ejpam-5567	817	21	space	space	NOUN
ejpam-5567	817	22	.	.	PUNCT
ejpam-5567	818	1	now	now	ADV
ejpam-5567	818	2	for	for	ADP
ejpam-5567	818	3	any	any	DET
ejpam-5567	818	4	e˜̃∈e	e˜̃∈e	NOUN
ejpam-5567	818	5	,	,	PUNCT
ejpam-5567	818	6	(	(	PUNCT
ejpam-5567	818	7	u1	u1	NOUN
ejpam-5567	818	8	,	,	PUNCT
ejpam-5567	818	9	u2	u2	NOUN
ejpam-5567	818	10	,	,	PUNCT
ejpam-5567	818	11	u3	u3	NOUN
ejpam-5567	818	12	,	,	PUNCT
ejpam-5567	818	13	τ∆	τ∆	NOUN
ejpam-5567	818	14	,	,	PUNCT
ejpam-5567	818	15	e	e	NOUN
ejpam-5567	818	16	)	)	PUNCT
ejpam-5567	818	17	is	be	AUX
ejpam-5567	818	18	a	a	DET
ejpam-5567	818	19	ternary	ternary	ADJ
ejpam-5567	818	20	soft	soft	ADJ
ejpam-5567	818	21	topological	topological	ADJ
ejpam-5567	818	22	space	space	NOUN
ejpam-5567	818	23	and	and	CCONJ
ejpam-5567	818	24	fe	fe	NOUN
ejpam-5567	818	25	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	818	26	,	,	PUNCT
ejpam-5567	818	27	e	e	NOUN
ejpam-5567	818	28	)	)	PUNCT
ejpam-5567	818	29	and	and	CCONJ
ejpam-5567	818	30	ge	ge	PROPN
ejpam-5567	818	31	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	818	32	,	,	PUNCT
ejpam-5567	818	33	e)c	e)c	PUNCT
ejpam-5567	818	34	or	or	CCONJ
ejpam-5567	818	35	ge	ge	PROPN
ejpam-5567	818	36	˜̃∈(f2	˜̃∈(f2	PROPN
ejpam-5567	818	37	,	,	PUNCT
ejpam-5567	818	38	e	e	NOUN
ejpam-5567	818	39	)	)	PUNCT
ejpam-5567	818	40	and	and	CCONJ
ejpam-5567	818	41	fe	fe	X
ejpam-5567	818	42	˜̃	˜̃	NOUN
ejpam-5567	818	43	/∈(f2	/∈(f2	PUNCT
ejpam-5567	818	44	,	,	PUNCT
ejpam-5567	818	45	e)c	e)c	X
ejpam-5567	818	46	.	.	PUNCT
ejpam-5567	819	1	so	so	ADV
ejpam-5567	819	2	that	that	PRON
ejpam-5567	819	3	fe	fe	PROPN
ejpam-5567	819	4	˜̃∈f1(e	˜̃∈f1(e	PROPN
ejpam-5567	819	5	)	)	PUNCT
ejpam-5567	819	6	,	,	PUNCT
ejpam-5567	819	7	ge	ge	PROPN
ejpam-5567	819	8	˜̃	˜̃	PROPN
ejpam-5567	819	9	/∈f1(e	/∈f1(e	PUNCT
ejpam-5567	819	10	)	)	PUNCT
ejpam-5567	819	11	,	,	PUNCT
ejpam-5567	819	12	ge	ge	PROPN
ejpam-5567	819	13	˜̃∈f2(e	˜̃∈f2(e	PROPN
ejpam-5567	819	14	)	)	PUNCT
ejpam-5567	819	15	,	,	PUNCT
ejpam-5567	819	16	ge	ge	PROPN
ejpam-5567	819	17	˜̃	˜̃	NOUN
ejpam-5567	819	18	/∈f2(e	/∈f2(e	PRON
ejpam-5567	819	19	)	)	PUNCT
ejpam-5567	819	20	.	.	PUNCT
ejpam-5567	820	1	thus	thus	ADV
ejpam-5567	820	2	,	,	PUNCT
ejpam-5567	820	3	(	(	PUNCT
ejpam-5567	820	4	u1	u1	NOUN
ejpam-5567	820	5	,	,	PUNCT
ejpam-5567	820	6	u2	u2	NOUN
ejpam-5567	820	7	,	,	PUNCT
ejpam-5567	820	8	u3	u3	NOUN
ejpam-5567	820	9	,	,	PUNCT
ejpam-5567	820	10	τ∆	τ∆	NOUN
ejpam-5567	820	11	,	,	PUNCT
ejpam-5567	820	12	e	e	NOUN
ejpam-5567	820	13	)	)	PUNCT
ejpam-5567	820	14	is	be	AUX
ejpam-5567	820	15	a	a	DET
ejpam-5567	820	16	ternary	ternary	ADJ
ejpam-5567	820	17	soft	soft	ADJ
ejpam-5567	820	18	s	s	NOUN
ejpam-5567	820	19	-	-	PUNCT
ejpam-5567	820	20	t∆0	t∆0	NOUN
ejpam-5567	820	21	space	space	NOUN
ejpam-5567	820	22	.	.	PUNCT
ejpam-5567	821	1	proposition	proposition	NOUN
ejpam-5567	821	2	12	12	NUM
ejpam-5567	821	3	.	.	PUNCT
ejpam-5567	822	1	let	let	AUX
ejpam-5567	822	2	(	(	PUNCT
ejpam-5567	822	3	u1	u1	NOUN
ejpam-5567	822	4	,	,	PUNCT
ejpam-5567	822	5	u2	u2	NOUN
ejpam-5567	822	6	,	,	PUNCT
ejpam-5567	822	7	u3	u3	NOUN
ejpam-5567	822	8	,	,	PUNCT
ejpam-5567	822	9	τ∆	τ∆	NOUN
ejpam-5567	822	10	,	,	PUNCT
ejpam-5567	822	11	e	e	X
ejpam-5567	822	12	)	)	PUNCT
ejpam-5567	822	13	be	be	AUX
ejpam-5567	822	14	a	a	DET
ejpam-5567	822	15	ternary	ternary	ADJ
ejpam-5567	822	16	soft	soft	ADJ
ejpam-5567	822	17	topological	topological	ADJ
ejpam-5567	822	18	space	space	NOUN
ejpam-5567	822	19	of	of	ADP
ejpam-5567	822	20	˜̃	˜̃	NOUN
ejpam-5567	822	21	x	x	SYM
ejpam-5567	822	22	over	over	ADP
ejpam-5567	822	23	(	(	PUNCT
ejpam-5567	822	24	u1	u1	NOUN
ejpam-5567	822	25	×	×	PROPN
ejpam-5567	822	26	u2	u2	PROPN
ejpam-5567	822	27	×	×	PROPN
ejpam-5567	822	28	u3	u3	PROPN
ejpam-5567	822	29	)	)	PUNCT
ejpam-5567	822	30	and	and	CCONJ
ejpam-5567	822	31	fe	fe	X
ejpam-5567	822	32	,	,	PUNCT
ejpam-5567	822	33	ge	ge	PROPN
ejpam-5567	822	34	˜̃∈	˜̃∈	PROPN
ejpam-5567	822	35	˜̃	˜̃	NOUN
ejpam-5567	822	36	x	x	INTJ
ejpam-5567	822	37	such	such	ADJ
ejpam-5567	822	38	that	that	DET
ejpam-5567	822	39	fe	fe	NOUN
ejpam-5567	822	40	̸=	̸=	PROPN
ejpam-5567	822	41	ge	ge	PROPN
ejpam-5567	822	42	.	.	PUNCT
ejpam-5567	823	1	if	if	SCONJ
ejpam-5567	823	2	there	there	PRON
ejpam-5567	823	3	exist	exist	VERB
ejpam-5567	823	4	ternary	ternary	ADJ
ejpam-5567	823	5	soft	soft	ADJ
ejpam-5567	823	6	s	s	NOUN
ejpam-5567	823	7	-	-	ADJ
ejpam-5567	823	8	open	open	ADJ
ejpam-5567	823	9	sets	set	NOUN
ejpam-5567	823	10	(	(	PUNCT
ejpam-5567	823	11	f1	f1	NOUN
ejpam-5567	823	12	,	,	PUNCT
ejpam-5567	823	13	e	e	NOUN
ejpam-5567	823	14	)	)	PUNCT
ejpam-5567	823	15	,	,	PUNCT
ejpam-5567	823	16	(	(	PUNCT
ejpam-5567	823	17	f2	f2	X
ejpam-5567	823	18	,	,	PUNCT
ejpam-5567	823	19	e	e	NOUN
ejpam-5567	823	20	)	)	PUNCT
ejpam-5567	823	21	such	such	ADJ
ejpam-5567	823	22	that	that	DET
ejpam-5567	823	23	fe	fe	X
ejpam-5567	823	24	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	823	25	,	,	PUNCT
ejpam-5567	823	26	e	e	NOUN
ejpam-5567	823	27	)	)	PUNCT
ejpam-5567	823	28	and	and	CCONJ
ejpam-5567	823	29	ge	ge	PROPN
ejpam-5567	823	30	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	823	31	,	,	PUNCT
ejpam-5567	823	32	e)c	e)c	NOUN
ejpam-5567	823	33	,	,	PUNCT
ejpam-5567	823	34	or	or	CCONJ
ejpam-5567	823	35	fe	fe	X
ejpam-5567	823	36	˜̃∈(f2	˜̃∈(f2	PROPN
ejpam-5567	823	37	,	,	PUNCT
ejpam-5567	823	38	e	e	NOUN
ejpam-5567	823	39	)	)	PUNCT
ejpam-5567	823	40	and	and	CCONJ
ejpam-5567	823	41	ge	ge	PROPN
ejpam-5567	823	42	˜̃∈(f2	˜̃∈(f2	PROPN
ejpam-5567	823	43	,	,	PUNCT
ejpam-5567	823	44	e	e	NOUN
ejpam-5567	823	45	)	)	PUNCT
ejpam-5567	823	46	.	.	PUNCT
ejpam-5567	824	1	then	then	ADV
ejpam-5567	824	2	(	(	PUNCT
ejpam-5567	824	3	u1	u1	PROPN
ejpam-5567	824	4	,	,	PUNCT
ejpam-5567	824	5	u2	u2	NOUN
ejpam-5567	824	6	,	,	PUNCT
ejpam-5567	824	7	u3	u3	NOUN
ejpam-5567	824	8	,	,	PUNCT
ejpam-5567	824	9	τ∆	τ∆	NOUN
ejpam-5567	824	10	,	,	PUNCT
ejpam-5567	824	11	e	e	NOUN
ejpam-5567	824	12	)	)	PUNCT
ejpam-5567	824	13	is	be	AUX
ejpam-5567	824	14	a	a	DET
ejpam-5567	824	15	ternary	ternary	ADJ
ejpam-5567	824	16	soft	soft	ADJ
ejpam-5567	824	17	s	s	NOUN
ejpam-5567	824	18	-	-	PUNCT
ejpam-5567	824	19	t∆o	t∆o	NOUN
ejpam-5567	824	20	space	space	NOUN
ejpam-5567	824	21	.	.	PUNCT
ejpam-5567	825	1	additionally	additionally	ADV
ejpam-5567	825	2	,	,	PUNCT
ejpam-5567	825	3	(	(	PUNCT
ejpam-5567	825	4	u1	u1	NOUN
ejpam-5567	825	5	,	,	PUNCT
ejpam-5567	825	6	u2	u2	NOUN
ejpam-5567	825	7	,	,	PUNCT
ejpam-5567	825	8	u3	u3	NOUN
ejpam-5567	825	9	,	,	PUNCT
ejpam-5567	825	10	τ∆	τ∆	NOUN
ejpam-5567	825	11	,	,	PUNCT
ejpam-5567	825	12	e	e	NOUN
ejpam-5567	825	13	)	)	PUNCT
ejpam-5567	825	14	is	be	AUX
ejpam-5567	825	15	a	a	DET
ejpam-5567	825	16	ternary	ternary	ADJ
ejpam-5567	825	17	soft	soft	ADJ
ejpam-5567	825	18	s	s	NOUN
ejpam-5567	825	19	-	-	PUNCT
ejpam-5567	825	20	t∆o	t∆o	NOUN
ejpam-5567	825	21	space	space	NOUN
ejpam-5567	825	22	for	for	ADP
ejpam-5567	825	23	each	each	DET
ejpam-5567	825	24	e˜̃∈e	e˜̃∈e	NOUN
ejpam-5567	825	25	.	.	PUNCT
ejpam-5567	826	1	proof	proof	NOUN
ejpam-5567	826	2	.	.	PUNCT
ejpam-5567	827	1	clearly	clearly	ADV
ejpam-5567	827	2	,	,	PUNCT
ejpam-5567	827	3	ge	ge	PROPN
ejpam-5567	827	4	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	827	5	,	,	PUNCT
ejpam-5567	827	6	e)c	e)c	X
ejpam-5567	827	7	=	=	PUNCT
ejpam-5567	828	1	(	(	PUNCT
ejpam-5567	828	2	f	f	PROPN
ejpam-5567	828	3	c	c	PROPN
ejpam-5567	828	4	1	1	NUM
ejpam-5567	828	5	,	,	PUNCT
ejpam-5567	828	6	e	e	NOUN
ejpam-5567	828	7	)	)	PUNCT
ejpam-5567	828	8	implies	imply	VERB
ejpam-5567	828	9	ge	ge	PROPN
ejpam-5567	828	10	˜̃	˜̃	NOUN
ejpam-5567	828	11	/∈(f2	/∈(f2	PRON
ejpam-5567	828	12	,	,	PUNCT
ejpam-5567	828	13	e	e	NOUN
ejpam-5567	828	14	)	)	PUNCT
ejpam-5567	828	15	.	.	PUNCT
ejpam-5567	829	1	similarly	similarly	ADV
ejpam-5567	829	2	,	,	PUNCT
ejpam-5567	829	3	fe	fe	X
ejpam-5567	829	4	˜̃∈(f2	˜̃∈(f2	PROPN
ejpam-5567	829	5	,	,	PUNCT
ejpam-5567	829	6	e)c	e)c	X
ejpam-5567	829	7	=	=	SYM
ejpam-5567	829	8	m.	m.	NOUN
ejpam-5567	829	9	nawaz	nawaz	NOUN
ejpam-5567	829	10	et	et	PROPN
ejpam-5567	829	11	al	al	PROPN
ejpam-5567	829	12	.	.	PUNCT
ejpam-5567	829	13	/	/	SYM
ejpam-5567	829	14	eur	eur	PROPN
ejpam-5567	829	15	.	.	PUNCT
ejpam-5567	830	1	j.	j.	PROPN
ejpam-5567	830	2	pure	pure	PROPN
ejpam-5567	830	3	appl	appl	PROPN
ejpam-5567	830	4	.	.	PROPN
ejpam-5567	830	5	math	math	PROPN
ejpam-5567	830	6	,	,	PUNCT
ejpam-5567	830	7	18	18	NUM
ejpam-5567	830	8	(	(	PUNCT
ejpam-5567	830	9	1	1	NUM
ejpam-5567	830	10	)	)	PUNCT
ejpam-5567	830	11	(	(	PUNCT
ejpam-5567	830	12	2025	2025	NUM
ejpam-5567	830	13	)	)	PUNCT
ejpam-5567	830	14	,	,	PUNCT
ejpam-5567	830	15	5567	5567	NUM
ejpam-5567	830	16	35	35	NUM
ejpam-5567	830	17	of	of	ADP
ejpam-5567	830	18	45	45	NUM
ejpam-5567	830	19	(	(	PUNCT
ejpam-5567	830	20	f	f	NOUN
ejpam-5567	830	21	c	c	PROPN
ejpam-5567	830	22	2	2	NUM
ejpam-5567	830	23	,	,	PUNCT
ejpam-5567	830	24	e	e	NOUN
ejpam-5567	830	25	)	)	PUNCT
ejpam-5567	830	26	implies	imply	VERB
ejpam-5567	830	27	fe	fe	X
ejpam-5567	830	28	˜̃	˜̃	NOUN
ejpam-5567	830	29	/∈(f2	/∈(f2	PUNCT
ejpam-5567	830	30	,	,	PUNCT
ejpam-5567	830	31	e	e	NOUN
ejpam-5567	830	32	)	)	PUNCT
ejpam-5567	830	33	.	.	PUNCT
ejpam-5567	831	1	thus	thus	ADV
ejpam-5567	831	2	,	,	PUNCT
ejpam-5567	831	3	we	we	PRON
ejpam-5567	831	4	have	have	VERB
ejpam-5567	831	5	fe	fe	ADJ
ejpam-5567	831	6	˜̃∈(f1	˜̃∈(f1	NOUN
ejpam-5567	831	7	,	,	PUNCT
ejpam-5567	831	8	e	e	NOUN
ejpam-5567	831	9	)	)	PUNCT
ejpam-5567	831	10	,	,	PUNCT
ejpam-5567	831	11	ge	ge	PROPN
ejpam-5567	831	12	˜̃	˜̃	NOUN
ejpam-5567	831	13	/∈(f1	/∈(f1	PUNCT
ejpam-5567	831	14	,	,	PUNCT
ejpam-5567	831	15	e	e	NOUN
ejpam-5567	831	16	)	)	PUNCT
ejpam-5567	831	17	,	,	PUNCT
ejpam-5567	831	18	or	or	CCONJ
ejpam-5567	831	19	ge	ge	PROPN
ejpam-5567	831	20	˜̃∈(f2	˜̃∈(f2	PROPN
ejpam-5567	831	21	,	,	PUNCT
ejpam-5567	831	22	e	e	NOUN
ejpam-5567	831	23	)	)	PUNCT
ejpam-5567	831	24	,	,	PUNCT
ejpam-5567	831	25	fe	fe	X
ejpam-5567	831	26	˜̃	˜̃	NOUN
ejpam-5567	831	27	/∈(f2	/∈(f2	PUNCT
ejpam-5567	831	28	,	,	PUNCT
ejpam-5567	831	29	e	e	NOUN
ejpam-5567	831	30	)	)	PUNCT
ejpam-5567	831	31	.	.	PUNCT
ejpam-5567	832	1	this	this	PRON
ejpam-5567	832	2	proves	prove	VERB
ejpam-5567	832	3	(	(	PUNCT
ejpam-5567	832	4	u1	u1	NOUN
ejpam-5567	832	5	,	,	PUNCT
ejpam-5567	832	6	u2	u2	NOUN
ejpam-5567	832	7	,	,	PUNCT
ejpam-5567	832	8	u3	u3	NOUN
ejpam-5567	832	9	,	,	PUNCT
ejpam-5567	832	10	τ∆	τ∆	NOUN
ejpam-5567	832	11	,	,	PUNCT
ejpam-5567	832	12	e	e	NOUN
ejpam-5567	832	13	)	)	PUNCT
ejpam-5567	832	14	is	be	AUX
ejpam-5567	832	15	a	a	DET
ejpam-5567	832	16	ternary	ternary	ADJ
ejpam-5567	832	17	soft	soft	ADJ
ejpam-5567	832	18	s	s	NOUN
ejpam-5567	832	19	-	-	PUNCT
ejpam-5567	832	20	t∆o	t∆o	NOUN
ejpam-5567	832	21	space	space	NOUN
ejpam-5567	832	22	.	.	PUNCT
ejpam-5567	833	1	now	now	ADV
ejpam-5567	833	2	,	,	PUNCT
ejpam-5567	833	3	for	for	ADP
ejpam-5567	833	4	any	any	DET
ejpam-5567	833	5	e˜̃∈e	e˜̃∈e	NOUN
ejpam-5567	833	6	,	,	PUNCT
ejpam-5567	833	7	(	(	PUNCT
ejpam-5567	833	8	u1	u1	NOUN
ejpam-5567	833	9	,	,	PUNCT
ejpam-5567	833	10	u2	u2	NOUN
ejpam-5567	833	11	,	,	PUNCT
ejpam-5567	833	12	u3	u3	NOUN
ejpam-5567	833	13	,	,	PUNCT
ejpam-5567	833	14	τ∆	τ∆	NOUN
ejpam-5567	833	15	,	,	PUNCT
ejpam-5567	833	16	e	e	NOUN
ejpam-5567	833	17	)	)	PUNCT
ejpam-5567	833	18	is	be	AUX
ejpam-5567	833	19	a	a	DET
ejpam-5567	833	20	ternary	ternary	ADJ
ejpam-5567	833	21	soft	soft	ADJ
ejpam-5567	833	22	topological	topological	ADJ
ejpam-5567	833	23	space	space	NOUN
ejpam-5567	833	24	.	.	PUNCT
ejpam-5567	834	1	since	since	SCONJ
ejpam-5567	834	2	fe	fe	NOUN
ejpam-5567	834	3	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	834	4	,	,	PUNCT
ejpam-5567	834	5	e	e	NOUN
ejpam-5567	834	6	)	)	PUNCT
ejpam-5567	834	7	and	and	CCONJ
ejpam-5567	834	8	ge	ge	PROPN
ejpam-5567	834	9	˜̃	˜̃	NOUN
ejpam-5567	834	10	/∈(f1	/∈(f1	PUNCT
ejpam-5567	834	11	,	,	PUNCT
ejpam-5567	834	12	e)c	e)c	PUNCT
ejpam-5567	834	13	or	or	CCONJ
ejpam-5567	834	14	ge	ge	PROPN
ejpam-5567	834	15	˜̃∈(f2	˜̃∈(f2	PROPN
ejpam-5567	834	16	,	,	PUNCT
ejpam-5567	834	17	e	e	NOUN
ejpam-5567	834	18	)	)	PUNCT
ejpam-5567	834	19	and	and	CCONJ
ejpam-5567	834	20	fe	fe	X
ejpam-5567	834	21	˜̃	˜̃	NOUN
ejpam-5567	834	22	/∈(f2	/∈(f2	PUNCT
ejpam-5567	834	23	,	,	PUNCT
ejpam-5567	834	24	e)c	e)c	X
ejpam-5567	834	25	,	,	PUNCT
ejpam-5567	834	26	it	it	PRON
ejpam-5567	834	27	follows	follow	VERB
ejpam-5567	834	28	that	that	DET
ejpam-5567	834	29	fe	fe	PROPN
ejpam-5567	834	30	˜̃∈f1(e	˜̃∈f1(e	PROPN
ejpam-5567	834	31	)	)	PUNCT
ejpam-5567	834	32	,	,	PUNCT
ejpam-5567	834	33	ge	ge	PROPN
ejpam-5567	834	34	˜̃	˜̃	PROPN
ejpam-5567	834	35	/∈f1(e	/∈f1(e	PUNCT
ejpam-5567	834	36	)	)	PUNCT
ejpam-5567	834	37	,	,	PUNCT
ejpam-5567	834	38	or	or	CCONJ
ejpam-5567	834	39	ge	ge	PROPN
ejpam-5567	834	40	˜̃∈f2(e	˜̃∈f2(e	PROPN
ejpam-5567	834	41	)	)	PUNCT
ejpam-5567	834	42	,	,	PUNCT
ejpam-5567	834	43	fe	fe	X
ejpam-5567	834	44	˜̃	˜̃	NOUN
ejpam-5567	834	45	/∈f2(e	/∈f2(e	X
ejpam-5567	834	46	)	)	PUNCT
ejpam-5567	834	47	.	.	PUNCT
ejpam-5567	835	1	thus	thus	ADV
ejpam-5567	835	2	,	,	PUNCT
ejpam-5567	835	3	(	(	PUNCT
ejpam-5567	835	4	u1	u1	NOUN
ejpam-5567	835	5	,	,	PUNCT
ejpam-5567	835	6	u2	u2	NOUN
ejpam-5567	835	7	,	,	PUNCT
ejpam-5567	835	8	u3	u3	NOUN
ejpam-5567	835	9	,	,	PUNCT
ejpam-5567	835	10	τ∆	τ∆	NOUN
ejpam-5567	835	11	,	,	PUNCT
ejpam-5567	835	12	e	e	NOUN
ejpam-5567	835	13	)	)	PUNCT
ejpam-5567	835	14	is	be	AUX
ejpam-5567	835	15	a	a	DET
ejpam-5567	835	16	ternary	ternary	ADJ
ejpam-5567	835	17	soft	soft	ADJ
ejpam-5567	835	18	s	s	NOUN
ejpam-5567	835	19	-	-	PUNCT
ejpam-5567	835	20	t∆o	t∆o	NOUN
ejpam-5567	835	21	space	space	NOUN
ejpam-5567	835	22	.	.	PUNCT
ejpam-5567	836	1	proposition	proposition	NOUN
ejpam-5567	836	2	13	13	NUM
ejpam-5567	836	3	.	.	PUNCT
ejpam-5567	837	1	let	let	AUX
ejpam-5567	837	2	(	(	PUNCT
ejpam-5567	837	3	u1	u1	NOUN
ejpam-5567	837	4	,	,	PUNCT
ejpam-5567	837	5	u2	u2	NOUN
ejpam-5567	837	6	,	,	PUNCT
ejpam-5567	837	7	u3	u3	NOUN
ejpam-5567	837	8	,	,	PUNCT
ejpam-5567	837	9	τ∆	τ∆	NOUN
ejpam-5567	837	10	,	,	PUNCT
ejpam-5567	837	11	e	e	X
ejpam-5567	837	12	)	)	PUNCT
ejpam-5567	837	13	be	be	AUX
ejpam-5567	837	14	a	a	DET
ejpam-5567	837	15	ternary	ternary	ADJ
ejpam-5567	837	16	soft	soft	ADJ
ejpam-5567	837	17	topological	topological	ADJ
ejpam-5567	837	18	space	space	NOUN
ejpam-5567	837	19	of	of	ADP
ejpam-5567	837	20	˜̃	˜̃	NOUN
ejpam-5567	837	21	x	x	SYM
ejpam-5567	837	22	over	over	ADP
ejpam-5567	837	23	(	(	PUNCT
ejpam-5567	837	24	u1	u1	NOUN
ejpam-5567	837	25	×	×	PROPN
ejpam-5567	837	26	u2	u2	PROPN
ejpam-5567	837	27	×	×	PROPN
ejpam-5567	837	28	u3	u3	PROPN
ejpam-5567	837	29	)	)	PUNCT
ejpam-5567	837	30	and	and	CCONJ
ejpam-5567	837	31	fe	fe	X
ejpam-5567	837	32	,	,	PUNCT
ejpam-5567	837	33	ge	ge	PROPN
ejpam-5567	837	34	˜̃∈	˜̃∈	PROPN
ejpam-5567	837	35	˜̃	˜̃	NOUN
ejpam-5567	837	36	x	x	INTJ
ejpam-5567	837	37	such	such	ADJ
ejpam-5567	837	38	that	that	DET
ejpam-5567	837	39	fe	fe	NOUN
ejpam-5567	837	40	̸=	̸=	PROPN
ejpam-5567	837	41	ge	ge	PROPN
ejpam-5567	837	42	.	.	PUNCT
ejpam-5567	838	1	if	if	SCONJ
ejpam-5567	838	2	there	there	PRON
ejpam-5567	838	3	exist	exist	VERB
ejpam-5567	838	4	ternary	ternary	ADJ
ejpam-5567	838	5	soft	soft	ADJ
ejpam-5567	838	6	s	s	NOUN
ejpam-5567	838	7	-	-	ADJ
ejpam-5567	838	8	open	open	ADJ
ejpam-5567	838	9	sets	set	NOUN
ejpam-5567	838	10	(	(	PUNCT
ejpam-5567	838	11	f1	f1	NOUN
ejpam-5567	838	12	,	,	PUNCT
ejpam-5567	838	13	e	e	NOUN
ejpam-5567	838	14	)	)	PUNCT
ejpam-5567	838	15	,	,	PUNCT
ejpam-5567	838	16	(	(	PUNCT
ejpam-5567	838	17	f2	f2	X
ejpam-5567	838	18	,	,	PUNCT
ejpam-5567	838	19	e	e	NOUN
ejpam-5567	838	20	)	)	PUNCT
ejpam-5567	838	21	such	such	ADJ
ejpam-5567	838	22	that	that	SCONJ
ejpam-5567	838	23	:	:	PUNCT
ejpam-5567	838	24	fe	fe	X
ejpam-5567	838	25	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	838	26	,	,	PUNCT
ejpam-5567	838	27	e	e	NOUN
ejpam-5567	838	28	)	)	PUNCT
ejpam-5567	838	29	and	and	CCONJ
ejpam-5567	838	30	ge	ge	PROPN
ejpam-5567	838	31	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	838	32	,	,	PUNCT
ejpam-5567	838	33	e	e	NOUN
ejpam-5567	838	34	)	)	PUNCT
ejpam-5567	838	35	,	,	PUNCT
ejpam-5567	838	36	or	or	CCONJ
ejpam-5567	838	37	ge	ge	PROPN
ejpam-5567	838	38	˜̃∈(f2	˜̃∈(f2	PROPN
ejpam-5567	838	39	,	,	PUNCT
ejpam-5567	838	40	e	e	NOUN
ejpam-5567	838	41	)	)	PUNCT
ejpam-5567	838	42	and	and	CCONJ
ejpam-5567	838	43	fe	fe	X
ejpam-5567	838	44	˜̃∈(f2	˜̃∈(f2	PROPN
ejpam-5567	838	45	,	,	PUNCT
ejpam-5567	838	46	e	e	NOUN
ejpam-5567	838	47	)	)	PUNCT
ejpam-5567	838	48	,	,	PUNCT
ejpam-5567	838	49	then	then	ADV
ejpam-5567	838	50	(	(	PUNCT
ejpam-5567	838	51	u1	u1	PROPN
ejpam-5567	838	52	,	,	PUNCT
ejpam-5567	838	53	u2	u2	NOUN
ejpam-5567	838	54	,	,	PUNCT
ejpam-5567	838	55	u3	u3	NOUN
ejpam-5567	838	56	,	,	PUNCT
ejpam-5567	838	57	τ∆	τ∆	NOUN
ejpam-5567	838	58	,	,	PUNCT
ejpam-5567	838	59	e	e	NOUN
ejpam-5567	838	60	)	)	PUNCT
ejpam-5567	838	61	is	be	AUX
ejpam-5567	838	62	a	a	DET
ejpam-5567	838	63	ternary	ternary	ADJ
ejpam-5567	838	64	soft	soft	ADJ
ejpam-5567	838	65	s	s	NOUN
ejpam-5567	838	66	-	-	PUNCT
ejpam-5567	838	67	t∆o	t∆o	NOUN
ejpam-5567	838	68	space	space	NOUN
ejpam-5567	838	69	,	,	PUNCT
ejpam-5567	838	70	and	and	CCONJ
ejpam-5567	838	71	(	(	PUNCT
ejpam-5567	838	72	u1	u1	NOUN
ejpam-5567	838	73	,	,	PUNCT
ejpam-5567	838	74	u2	u2	NOUN
ejpam-5567	838	75	,	,	PUNCT
ejpam-5567	838	76	u3	u3	NOUN
ejpam-5567	838	77	,	,	PUNCT
ejpam-5567	838	78	τ∆	τ∆	NOUN
ejpam-5567	838	79	,	,	PUNCT
ejpam-5567	838	80	e	e	NOUN
ejpam-5567	838	81	)	)	PUNCT
ejpam-5567	838	82	is	be	AUX
ejpam-5567	838	83	a	a	DET
ejpam-5567	838	84	ternary	ternary	ADJ
ejpam-5567	838	85	soft	soft	ADJ
ejpam-5567	838	86	s	s	NOUN
ejpam-5567	838	87	-	-	ADJ
ejpam-5567	838	88	t∆1	t∆1	ADJ
ejpam-5567	838	89	space	space	NOUN
ejpam-5567	838	90	for	for	ADP
ejpam-5567	838	91	each	each	DET
ejpam-5567	838	92	e˜̃∈e	e˜̃∈e	NOUN
ejpam-5567	838	93	.	.	PUNCT
ejpam-5567	839	1	proof	proof	NOUN
ejpam-5567	839	2	.	.	PUNCT
ejpam-5567	840	1	obvious	obvious	ADJ
ejpam-5567	840	2	.	.	PUNCT
ejpam-5567	841	1	proposition	proposition	NOUN
ejpam-5567	841	2	14	14	NUM
ejpam-5567	841	3	.	.	PUNCT
ejpam-5567	842	1	let	let	AUX
ejpam-5567	842	2	(	(	PUNCT
ejpam-5567	842	3	u1	u1	NOUN
ejpam-5567	842	4	,	,	PUNCT
ejpam-5567	842	5	u2	u2	NOUN
ejpam-5567	842	6	,	,	PUNCT
ejpam-5567	842	7	u3	u3	NOUN
ejpam-5567	842	8	,	,	PUNCT
ejpam-5567	842	9	τ∆	τ∆	NOUN
ejpam-5567	842	10	,	,	PUNCT
ejpam-5567	842	11	e	e	X
ejpam-5567	842	12	)	)	PUNCT
ejpam-5567	842	13	be	be	AUX
ejpam-5567	842	14	a	a	DET
ejpam-5567	842	15	ternary	ternary	ADJ
ejpam-5567	842	16	soft	soft	ADJ
ejpam-5567	842	17	topological	topological	ADJ
ejpam-5567	842	18	space	space	NOUN
ejpam-5567	842	19	of	of	ADP
ejpam-5567	842	20	˜̃	˜̃	NOUN
ejpam-5567	842	21	x	x	SYM
ejpam-5567	842	22	over	over	ADP
ejpam-5567	842	23	(	(	PUNCT
ejpam-5567	842	24	u1×u2×u3	u1×u2×u3	NOUN
ejpam-5567	842	25	)	)	PUNCT
ejpam-5567	842	26	and	and	CCONJ
ejpam-5567	842	27	˜̃	˜̃	NOUN
ejpam-5567	842	28	y	y	PROPN
ejpam-5567	842	29	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	842	30	˜̃	˜̃	NOUN
ejpam-5567	842	31	x.	x.	NOUN
ejpam-5567	843	1	then	then	ADV
ejpam-5567	843	2	,	,	PUNCT
ejpam-5567	843	3	if	if	SCONJ
ejpam-5567	843	4	(	(	PUNCT
ejpam-5567	843	5	u1	u1	NOUN
ejpam-5567	843	6	,	,	PUNCT
ejpam-5567	843	7	u2	u2	NOUN
ejpam-5567	843	8	,	,	PUNCT
ejpam-5567	843	9	u3	u3	NOUN
ejpam-5567	843	10	,	,	PUNCT
ejpam-5567	843	11	τ∆	τ∆	NOUN
ejpam-5567	843	12	,	,	PUNCT
ejpam-5567	843	13	e	e	NOUN
ejpam-5567	843	14	)	)	PUNCT
ejpam-5567	843	15	is	be	AUX
ejpam-5567	843	16	a	a	DET
ejpam-5567	843	17	ternary	ternary	ADJ
ejpam-5567	843	18	soft	soft	ADJ
ejpam-5567	843	19	s	s	NOUN
ejpam-5567	843	20	-	-	PUNCT
ejpam-5567	843	21	t∆o	t∆o	NOUN
ejpam-5567	843	22	space	space	NOUN
ejpam-5567	843	23	,	,	PUNCT
ejpam-5567	843	24	then	then	ADV
ejpam-5567	843	25	(	(	PUNCT
ejpam-5567	843	26	u1	u1	NOUN
ejpam-5567	843	27	,	,	PUNCT
ejpam-5567	843	28	u2	u2	NOUN
ejpam-5567	843	29	,	,	PUNCT
ejpam-5567	843	30	u3	u3	NOUN
ejpam-5567	843	31	,	,	PUNCT
ejpam-5567	843	32	τ∆y	τ∆y	NOUN
ejpam-5567	843	33	,	,	PUNCT
ejpam-5567	843	34	e	e	X
ejpam-5567	843	35	)	)	PUNCT
ejpam-5567	843	36	is	be	AUX
ejpam-5567	843	37	a	a	DET
ejpam-5567	843	38	ternary	ternary	ADJ
ejpam-5567	843	39	soft	soft	ADJ
ejpam-5567	843	40	s	s	NOUN
ejpam-5567	843	41	-	-	PUNCT
ejpam-5567	843	42	t∆o	t∆o	NOUN
ejpam-5567	843	43	space	space	NOUN
ejpam-5567	843	44	.	.	PUNCT
ejpam-5567	844	1	proof	proof	NOUN
ejpam-5567	844	2	.	.	PUNCT
ejpam-5567	845	1	let	let	VERB
ejpam-5567	845	2	fe	fe	X
ejpam-5567	845	3	,	,	PUNCT
ejpam-5567	845	4	ge	ge	PROPN
ejpam-5567	845	5	˜̃∈	˜̃∈	PROPN
ejpam-5567	845	6	˜̃	˜̃	NOUN
ejpam-5567	845	7	y	y	PROPN
ejpam-5567	845	8	such	such	ADJ
ejpam-5567	845	9	that	that	DET
ejpam-5567	845	10	fe	fe	NOUN
ejpam-5567	845	11	̸=	̸=	PROPN
ejpam-5567	845	12	ge	ge	PROPN
ejpam-5567	845	13	.	.	PUNCT
ejpam-5567	846	1	then	then	ADV
ejpam-5567	846	2	,	,	PUNCT
ejpam-5567	846	3	fe	fe	X
ejpam-5567	846	4	,	,	PUNCT
ejpam-5567	846	5	ge	ge	PROPN
ejpam-5567	846	6	˜̃∈	˜̃∈	PROPN
ejpam-5567	847	1	˜̃	˜̃	NOUN
ejpam-5567	847	2	x.	x.	NOUN
ejpam-5567	847	3	since	since	SCONJ
ejpam-5567	847	4	(	(	PUNCT
ejpam-5567	847	5	u1	u1	NOUN
ejpam-5567	847	6	,	,	PUNCT
ejpam-5567	847	7	u2	u2	NOUN
ejpam-5567	847	8	,	,	PUNCT
ejpam-5567	847	9	u3	u3	NOUN
ejpam-5567	847	10	,	,	PUNCT
ejpam-5567	847	11	τ∆	τ∆	NOUN
ejpam-5567	847	12	,	,	PUNCT
ejpam-5567	847	13	e	e	NOUN
ejpam-5567	847	14	)	)	PUNCT
ejpam-5567	847	15	is	be	AUX
ejpam-5567	847	16	a	a	DET
ejpam-5567	847	17	ternary	ternary	ADJ
ejpam-5567	847	18	soft	soft	ADJ
ejpam-5567	847	19	s	s	NOUN
ejpam-5567	847	20	-	-	PUNCT
ejpam-5567	847	21	t∆o	t∆o	NOUN
ejpam-5567	847	22	space	space	NOUN
ejpam-5567	847	23	,	,	PUNCT
ejpam-5567	847	24	there	there	PRON
ejpam-5567	847	25	exist	exist	VERB
ejpam-5567	847	26	ternary	ternary	ADJ
ejpam-5567	847	27	soft	soft	ADJ
ejpam-5567	847	28	s	s	NOUN
ejpam-5567	847	29	-	-	ADJ
ejpam-5567	847	30	open	open	ADJ
ejpam-5567	847	31	sets	set	NOUN
ejpam-5567	847	32	(	(	PUNCT
ejpam-5567	847	33	f	f	X
ejpam-5567	847	34	,	,	PUNCT
ejpam-5567	847	35	e	e	NOUN
ejpam-5567	847	36	)	)	PUNCT
ejpam-5567	847	37	and	and	CCONJ
ejpam-5567	847	38	(	(	PUNCT
ejpam-5567	847	39	g	g	NOUN
ejpam-5567	847	40	,	,	PUNCT
ejpam-5567	847	41	e	e	NOUN
ejpam-5567	847	42	)	)	PUNCT
ejpam-5567	847	43	in	in	ADP
ejpam-5567	847	44	(	(	PUNCT
ejpam-5567	847	45	u1	u1	NOUN
ejpam-5567	847	46	,	,	PUNCT
ejpam-5567	847	47	u2	u2	NOUN
ejpam-5567	847	48	,	,	PUNCT
ejpam-5567	847	49	τ∆	τ∆	NOUN
ejpam-5567	847	50	,	,	PUNCT
ejpam-5567	847	51	e	e	NOUN
ejpam-5567	847	52	)	)	PUNCT
ejpam-5567	847	53	such	such	ADJ
ejpam-5567	847	54	that	that	SCONJ
ejpam-5567	847	55	:	:	PUNCT
ejpam-5567	847	56	fe	fe	X
ejpam-5567	847	57	˜̃∈(f	˜̃∈(f	X
ejpam-5567	847	58	,	,	PUNCT
ejpam-5567	847	59	e	e	NOUN
ejpam-5567	847	60	)	)	PUNCT
ejpam-5567	847	61	,	,	PUNCT
ejpam-5567	847	62	ge	ge	PROPN
ejpam-5567	847	63	˜̃	˜̃	NOUN
ejpam-5567	847	64	/∈(f	/∈(f	PUNCT
ejpam-5567	847	65	,	,	PUNCT
ejpam-5567	847	66	e	e	NOUN
ejpam-5567	847	67	)	)	PUNCT
ejpam-5567	847	68	,	,	PUNCT
ejpam-5567	847	69	or	or	CCONJ
ejpam-5567	847	70	ge	ge	PROPN
ejpam-5567	847	71	˜̃∈(g	˜̃∈(g	PRON
ejpam-5567	847	72	,	,	PUNCT
ejpam-5567	847	73	e	e	NOUN
ejpam-5567	847	74	)	)	PUNCT
ejpam-5567	847	75	,	,	PUNCT
ejpam-5567	847	76	fe	fe	X
ejpam-5567	847	77	˜̃	˜̃	NOUN
ejpam-5567	847	78	/∈(g	/∈(g	NOUN
ejpam-5567	847	79	,	,	PUNCT
ejpam-5567	847	80	e	e	NOUN
ejpam-5567	847	81	)	)	PUNCT
ejpam-5567	847	82	.	.	PUNCT
ejpam-5567	848	1	therefore	therefore	ADV
ejpam-5567	848	2	,	,	PUNCT
ejpam-5567	848	3	fe	fe	X
ejpam-5567	848	4	˜̃∈	˜̃∈	PROPN
ejpam-5567	848	5	˜̃	˜̃	NOUN
ejpam-5567	848	6	y	y	PROPN
ejpam-5567	848	7	˜̃∩(f	˜̃∩(f	PROPN
ejpam-5567	848	8	,	,	PUNCT
ejpam-5567	848	9	e	e	NOUN
ejpam-5567	848	10	)	)	PUNCT
ejpam-5567	848	11	=	=	SYM
ejpam-5567	848	12	˜̃	˜̃	NOUN
ejpam-5567	848	13	y	y	PROPN
ejpam-5567	848	14	(	(	PUNCT
ejpam-5567	848	15	f	f	PROPN
ejpam-5567	848	16	,	,	PUNCT
ejpam-5567	848	17	e	e	NOUN
ejpam-5567	848	18	)	)	PUNCT
ejpam-5567	848	19	.	.	PUNCT
ejpam-5567	849	1	similarly	similarly	ADV
ejpam-5567	849	2	,	,	PUNCT
ejpam-5567	849	3	it	it	PRON
ejpam-5567	849	4	can	can	AUX
ejpam-5567	849	5	be	be	AUX
ejpam-5567	849	6	shown	show	VERB
ejpam-5567	849	7	that	that	SCONJ
ejpam-5567	849	8	ge	ge	PROPN
ejpam-5567	849	9	˜̃∈	˜̃∈	PROPN
ejpam-5567	849	10	˜̃	˜̃	NOUN
ejpam-5567	849	11	y	y	PROPN
ejpam-5567	849	12	(	(	PUNCT
ejpam-5567	849	13	g	g	PROPN
ejpam-5567	849	14	,	,	PUNCT
ejpam-5567	849	15	e	e	NOUN
ejpam-5567	849	16	)	)	PUNCT
ejpam-5567	849	17	and	and	CCONJ
ejpam-5567	849	18	fe	fe	X
ejpam-5567	849	19	˜̃	˜̃	NOUN
ejpam-5567	849	20	/∈	/∈	PUNCT
ejpam-5567	850	1	˜̃	˜̃	NOUN
ejpam-5567	851	1	y	y	PROPN
ejpam-5567	851	2	(	(	PUNCT
ejpam-5567	851	3	g	g	PROPN
ejpam-5567	851	4	,	,	PUNCT
ejpam-5567	851	5	e	e	NOUN
ejpam-5567	851	6	)	)	PUNCT
ejpam-5567	851	7	.	.	PUNCT
ejpam-5567	852	1	thus	thus	ADV
ejpam-5567	852	2	,	,	PUNCT
ejpam-5567	852	3	(	(	PUNCT
ejpam-5567	852	4	u1	u1	NOUN
ejpam-5567	852	5	,	,	PUNCT
ejpam-5567	852	6	u2	u2	NOUN
ejpam-5567	852	7	,	,	PUNCT
ejpam-5567	852	8	u3	u3	NOUN
ejpam-5567	852	9	,	,	PUNCT
ejpam-5567	852	10	τ∆y	τ∆y	NOUN
ejpam-5567	852	11	,	,	PUNCT
ejpam-5567	852	12	e	e	X
ejpam-5567	852	13	)	)	PUNCT
ejpam-5567	852	14	is	be	AUX
ejpam-5567	852	15	a	a	DET
ejpam-5567	852	16	ternary	ternary	ADJ
ejpam-5567	852	17	soft	soft	ADJ
ejpam-5567	852	18	s	s	NOUN
ejpam-5567	852	19	-	-	PUNCT
ejpam-5567	852	20	t∆o	t∆o	NOUN
ejpam-5567	852	21	space	space	NOUN
ejpam-5567	852	22	.	.	PUNCT
ejpam-5567	853	1	proposition	proposition	NOUN
ejpam-5567	853	2	15	15	NUM
ejpam-5567	853	3	.	.	PUNCT
ejpam-5567	854	1	let	let	AUX
ejpam-5567	854	2	(	(	PUNCT
ejpam-5567	854	3	u1	u1	NOUN
ejpam-5567	854	4	,	,	PUNCT
ejpam-5567	854	5	u2	u2	NOUN
ejpam-5567	854	6	,	,	PUNCT
ejpam-5567	854	7	u3	u3	NOUN
ejpam-5567	854	8	,	,	PUNCT
ejpam-5567	854	9	τ∆	τ∆	NOUN
ejpam-5567	854	10	,	,	PUNCT
ejpam-5567	854	11	e	e	X
ejpam-5567	854	12	)	)	PUNCT
ejpam-5567	854	13	be	be	AUX
ejpam-5567	854	14	a	a	DET
ejpam-5567	854	15	ternary	ternary	ADJ
ejpam-5567	854	16	soft	soft	ADJ
ejpam-5567	854	17	topological	topological	ADJ
ejpam-5567	854	18	space	space	NOUN
ejpam-5567	854	19	of	of	ADP
ejpam-5567	854	20	˜̃	˜̃	NOUN
ejpam-5567	854	21	x	x	SYM
ejpam-5567	854	22	over	over	ADP
ejpam-5567	854	23	(	(	PUNCT
ejpam-5567	854	24	u1×u2×u3	u1×u2×u3	NOUN
ejpam-5567	854	25	)	)	PUNCT
ejpam-5567	854	26	and	and	CCONJ
ejpam-5567	854	27	˜̃	˜̃	NOUN
ejpam-5567	854	28	y	y	PROPN
ejpam-5567	854	29	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	854	30	˜̃	˜̃	NOUN
ejpam-5567	854	31	x.	x.	NOUN
ejpam-5567	855	1	then	then	ADV
ejpam-5567	855	2	,	,	PUNCT
ejpam-5567	855	3	if	if	SCONJ
ejpam-5567	855	4	(	(	PUNCT
ejpam-5567	855	5	u1	u1	NOUN
ejpam-5567	855	6	,	,	PUNCT
ejpam-5567	855	7	u2	u2	NOUN
ejpam-5567	855	8	,	,	PUNCT
ejpam-5567	855	9	u3	u3	NOUN
ejpam-5567	855	10	,	,	PUNCT
ejpam-5567	855	11	τ∆	τ∆	NOUN
ejpam-5567	855	12	,	,	PUNCT
ejpam-5567	855	13	e	e	NOUN
ejpam-5567	855	14	)	)	PUNCT
ejpam-5567	855	15	is	be	AUX
ejpam-5567	855	16	a	a	DET
ejpam-5567	855	17	ternary	ternary	ADJ
ejpam-5567	855	18	soft	soft	ADJ
ejpam-5567	855	19	s	s	NOUN
ejpam-5567	855	20	-	-	ADJ
ejpam-5567	855	21	t∆1	t∆1	ADJ
ejpam-5567	855	22	space	space	NOUN
ejpam-5567	855	23	,	,	PUNCT
ejpam-5567	855	24	then	then	ADV
ejpam-5567	855	25	(	(	PUNCT
ejpam-5567	855	26	u1	u1	NOUN
ejpam-5567	855	27	,	,	PUNCT
ejpam-5567	855	28	u2	u2	NOUN
ejpam-5567	855	29	,	,	PUNCT
ejpam-5567	855	30	u3	u3	NOUN
ejpam-5567	855	31	,	,	PUNCT
ejpam-5567	855	32	τ∆y	τ∆y	NOUN
ejpam-5567	855	33	,	,	PUNCT
ejpam-5567	855	34	e	e	X
ejpam-5567	855	35	)	)	PUNCT
ejpam-5567	855	36	is	be	AUX
ejpam-5567	855	37	a	a	DET
ejpam-5567	855	38	ternary	ternary	ADJ
ejpam-5567	855	39	soft	soft	ADJ
ejpam-5567	855	40	s	s	NOUN
ejpam-5567	855	41	-	-	ADJ
ejpam-5567	855	42	t∆1	t∆1	ADJ
ejpam-5567	855	43	space	space	NOUN
ejpam-5567	855	44	.	.	PUNCT
ejpam-5567	856	1	proof	proof	NOUN
ejpam-5567	856	2	.	.	PUNCT
ejpam-5567	857	1	obvious	obvious	ADJ
ejpam-5567	857	2	.	.	PUNCT
ejpam-5567	858	1	proposition	proposition	NOUN
ejpam-5567	858	2	16	16	NUM
ejpam-5567	858	3	.	.	PUNCT
ejpam-5567	859	1	let	let	AUX
ejpam-5567	859	2	(	(	PUNCT
ejpam-5567	859	3	u1	u1	NOUN
ejpam-5567	859	4	,	,	PUNCT
ejpam-5567	859	5	u2	u2	NOUN
ejpam-5567	859	6	,	,	PUNCT
ejpam-5567	859	7	u3	u3	NOUN
ejpam-5567	859	8	,	,	PUNCT
ejpam-5567	859	9	τ∆	τ∆	NOUN
ejpam-5567	859	10	,	,	PUNCT
ejpam-5567	859	11	e	e	X
ejpam-5567	859	12	)	)	PUNCT
ejpam-5567	859	13	be	be	AUX
ejpam-5567	859	14	a	a	DET
ejpam-5567	859	15	ternary	ternary	ADJ
ejpam-5567	859	16	soft	soft	ADJ
ejpam-5567	859	17	topological	topological	ADJ
ejpam-5567	859	18	space	space	NOUN
ejpam-5567	859	19	on	on	ADP
ejpam-5567	859	20	˜̃	˜̃	NOUN
ejpam-5567	859	21	x	x	SYM
ejpam-5567	859	22	over	over	ADP
ejpam-5567	859	23	(	(	PUNCT
ejpam-5567	859	24	u1×u2×u3	u1×u2×u3	NOUN
ejpam-5567	859	25	)	)	PUNCT
ejpam-5567	859	26	.	.	PUNCT
ejpam-5567	860	1	if	if	SCONJ
ejpam-5567	860	2	(	(	PUNCT
ejpam-5567	860	3	u1	u1	NOUN
ejpam-5567	860	4	,	,	PUNCT
ejpam-5567	860	5	u2	u2	NOUN
ejpam-5567	860	6	,	,	PUNCT
ejpam-5567	860	7	u3	u3	NOUN
ejpam-5567	860	8	,	,	PUNCT
ejpam-5567	860	9	τ∆	τ∆	NOUN
ejpam-5567	860	10	,	,	PUNCT
ejpam-5567	860	11	e	e	NOUN
ejpam-5567	860	12	)	)	PUNCT
ejpam-5567	860	13	is	be	AUX
ejpam-5567	860	14	a	a	DET
ejpam-5567	860	15	ternary	ternary	ADJ
ejpam-5567	860	16	soft	soft	ADJ
ejpam-5567	860	17	s	s	NOUN
ejpam-5567	860	18	-	-	PUNCT
ejpam-5567	860	19	t∆2	t∆2	ADJ
ejpam-5567	860	20	space	space	NOUN
ejpam-5567	860	21	on	on	ADP
ejpam-5567	860	22	˜̃	˜̃	NOUN
ejpam-5567	860	23	x	x	SYM
ejpam-5567	860	24	over	over	ADP
ejpam-5567	860	25	(	(	PUNCT
ejpam-5567	860	26	u1×u2×u3	u1×u2×u3	PROPN
ejpam-5567	860	27	)	)	PUNCT
ejpam-5567	860	28	,	,	PUNCT
ejpam-5567	860	29	then	then	ADV
ejpam-5567	860	30	(	(	PUNCT
ejpam-5567	860	31	u1	u1	NOUN
ejpam-5567	860	32	,	,	PUNCT
ejpam-5567	860	33	u2	u2	NOUN
ejpam-5567	860	34	,	,	PUNCT
ejpam-5567	860	35	τ∆e	τ∆e	NOUN
ejpam-5567	860	36	,	,	PUNCT
ejpam-5567	860	37	e	e	X
ejpam-5567	860	38	)	)	PUNCT
ejpam-5567	860	39	is	be	AUX
ejpam-5567	860	40	a	a	DET
ejpam-5567	860	41	ternary	ternary	ADJ
ejpam-5567	860	42	soft	soft	ADJ
ejpam-5567	860	43	s	s	NOUN
ejpam-5567	860	44	-	-	PUNCT
ejpam-5567	860	45	t∆2	t∆2	ADJ
ejpam-5567	860	46	space	space	NOUN
ejpam-5567	860	47	for	for	ADP
ejpam-5567	860	48	each	each	DET
ejpam-5567	860	49	e˜̃∈e	e˜̃∈e	NOUN
ejpam-5567	860	50	.	.	PUNCT
ejpam-5567	861	1	proof	proof	NOUN
ejpam-5567	861	2	.	.	PUNCT
ejpam-5567	862	1	let	let	VERB
ejpam-5567	862	2	(	(	PUNCT
ejpam-5567	862	3	u1	u1	NOUN
ejpam-5567	862	4	,	,	PUNCT
ejpam-5567	862	5	u2	u2	NOUN
ejpam-5567	862	6	,	,	PUNCT
ejpam-5567	862	7	u3	u3	NOUN
ejpam-5567	862	8	,	,	PUNCT
ejpam-5567	862	9	τ∆y	τ∆y	NOUN
ejpam-5567	862	10	,	,	PUNCT
ejpam-5567	862	11	e	e	AUX
ejpam-5567	862	12	)	)	PUNCT
ejpam-5567	862	13	be	be	AUX
ejpam-5567	862	14	a	a	DET
ejpam-5567	862	15	ternary	ternary	ADJ
ejpam-5567	862	16	soft	soft	ADJ
ejpam-5567	862	17	topological	topological	ADJ
ejpam-5567	862	18	space	space	NOUN
ejpam-5567	862	19	on	on	ADP
ejpam-5567	862	20	˜̃	˜̃	NOUN
ejpam-5567	862	21	x	x	SYM
ejpam-5567	862	22	over	over	ADP
ejpam-5567	862	23	(	(	PUNCT
ejpam-5567	862	24	u1	u1	NOUN
ejpam-5567	862	25	×	×	PROPN
ejpam-5567	862	26	u2	u2	PROPN
ejpam-5567	862	27	×	×	PROPN
ejpam-5567	862	28	u3	u3	PROPN
ejpam-5567	862	29	)	)	PUNCT
ejpam-5567	862	30	.	.	PUNCT
ejpam-5567	863	1	for	for	ADP
ejpam-5567	863	2	any	any	DET
ejpam-5567	863	3	e˜̃∈e	e˜̃∈e	ADJ
ejpam-5567	863	4	,	,	PUNCT
ejpam-5567	863	5	τ∆e	τ∆e	ADJ
ejpam-5567	863	6	=	=	PRON
ejpam-5567	863	7	{	{	PUNCT
ejpam-5567	863	8	f	f	X
ejpam-5567	863	9	(	(	PUNCT
ejpam-5567	863	10	e	e	NOUN
ejpam-5567	863	11	)	)	PUNCT
ejpam-5567	863	12	:	:	PUNCT
ejpam-5567	863	13	(	(	PUNCT
ejpam-5567	863	14	f	f	X
ejpam-5567	863	15	,	,	PUNCT
ejpam-5567	863	16	e)˜̃∈τ∆	e)˜̃∈τ∆	NOUN
ejpam-5567	863	17	}	}	PUNCT
ejpam-5567	863	18	is	be	AUX
ejpam-5567	863	19	a	a	DET
ejpam-5567	863	20	ternary	ternary	ADJ
ejpam-5567	863	21	soft	soft	ADJ
ejpam-5567	863	22	topology	topology	NOUN
ejpam-5567	863	23	on	on	ADP
ejpam-5567	863	24	˜̃	˜̃	NOUN
ejpam-5567	863	25	x	x	SYM
ejpam-5567	863	26	over	over	ADP
ejpam-5567	863	27	(	(	PUNCT
ejpam-5567	863	28	u1	u1	NOUN
ejpam-5567	863	29	×	×	PROPN
ejpam-5567	863	30	u2	u2	PROPN
ejpam-5567	863	31	×	×	PROPN
ejpam-5567	863	32	u3	u3	PROPN
ejpam-5567	863	33	)	)	PUNCT
ejpam-5567	863	34	.	.	PUNCT
ejpam-5567	864	1	let	let	VERB
ejpam-5567	864	2	x	x	PRON
ejpam-5567	864	3	,	,	PUNCT
ejpam-5567	864	4	y	y	PROPN
ejpam-5567	864	5	˜̃∈	˜̃∈	PROPN
ejpam-5567	864	6	˜̃	˜̃	NOUN
ejpam-5567	864	7	x	x	INTJ
ejpam-5567	864	8	such	such	ADJ
ejpam-5567	864	9	that	that	SCONJ
ejpam-5567	864	10	x	x	SYM
ejpam-5567	864	11	̸=	̸=	PROPN
ejpam-5567	864	12	y.	y.	NOUN
ejpam-5567	864	13	since	since	SCONJ
ejpam-5567	864	14	(	(	PUNCT
ejpam-5567	864	15	u1	u1	PROPN
ejpam-5567	864	16	,	,	PUNCT
ejpam-5567	864	17	u2	u2	NOUN
ejpam-5567	864	18	,	,	PUNCT
ejpam-5567	864	19	u3	u3	NOUN
ejpam-5567	864	20	,	,	PUNCT
ejpam-5567	864	21	τ∆	τ∆	NOUN
ejpam-5567	864	22	,	,	PUNCT
ejpam-5567	864	23	e	e	NOUN
ejpam-5567	864	24	)	)	PUNCT
ejpam-5567	864	25	is	be	AUX
ejpam-5567	864	26	a	a	DET
ejpam-5567	864	27	ternary	ternary	ADJ
ejpam-5567	864	28	soft	soft	ADJ
ejpam-5567	864	29	m.	m.	NOUN
ejpam-5567	864	30	nawaz	nawaz	NOUN
ejpam-5567	864	31	et	et	PROPN
ejpam-5567	864	32	al	al	PROPN
ejpam-5567	864	33	.	.	PUNCT
ejpam-5567	864	34	/	/	SYM
ejpam-5567	864	35	eur	eur	PROPN
ejpam-5567	864	36	.	.	PUNCT
ejpam-5567	865	1	j.	j.	PROPN
ejpam-5567	865	2	pure	pure	PROPN
ejpam-5567	865	3	appl	appl	PROPN
ejpam-5567	865	4	.	.	PROPN
ejpam-5567	865	5	math	math	PROPN
ejpam-5567	865	6	,	,	PUNCT
ejpam-5567	865	7	18	18	NUM
ejpam-5567	865	8	(	(	PUNCT
ejpam-5567	865	9	1	1	NUM
ejpam-5567	865	10	)	)	PUNCT
ejpam-5567	865	11	(	(	PUNCT
ejpam-5567	865	12	2025	2025	NUM
ejpam-5567	865	13	)	)	PUNCT
ejpam-5567	865	14	,	,	PUNCT
ejpam-5567	865	15	5567	5567	NUM
ejpam-5567	865	16	36	36	NUM
ejpam-5567	865	17	of	of	ADP
ejpam-5567	865	18	45	45	NUM
ejpam-5567	865	19	s	s	NOUN
ejpam-5567	865	20	-	-	PUNCT
ejpam-5567	865	21	t∆2	t∆2	ADJ
ejpam-5567	865	22	space	space	NOUN
ejpam-5567	865	23	,	,	PUNCT
ejpam-5567	865	24	there	there	PRON
ejpam-5567	865	25	exist	exist	VERB
ejpam-5567	865	26	ternary	ternary	ADJ
ejpam-5567	865	27	soft	soft	ADJ
ejpam-5567	865	28	points	point	NOUN
ejpam-5567	865	29	fe	fe	X
ejpam-5567	865	30	,	,	PUNCT
ejpam-5567	865	31	ge	ge	PROPN
ejpam-5567	866	1	˜̃∈	˜̃∈	PROPN
ejpam-5567	867	1	˜̃	˜̃	NOUN
ejpam-5567	867	2	x	x	INTJ
ejpam-5567	867	3	such	such	ADJ
ejpam-5567	867	4	that	that	DET
ejpam-5567	867	5	fe	fe	NOUN
ejpam-5567	867	6	̸=	̸=	PROPN
ejpam-5567	867	7	ge	ge	PROPN
ejpam-5567	867	8	and	and	CCONJ
ejpam-5567	867	9	x˜̃∈f	x˜̃∈f	PROPN
ejpam-5567	867	10	(	(	PUNCT
ejpam-5567	867	11	e	e	NOUN
ejpam-5567	867	12	)	)	PUNCT
ejpam-5567	867	13	,	,	PUNCT
ejpam-5567	867	14	y	y	PROPN
ejpam-5567	867	15	˜̃∈g(e	˜̃∈g(e	PROPN
ejpam-5567	867	16	)	)	PUNCT
ejpam-5567	867	17	.	.	PUNCT
ejpam-5567	868	1	there	there	PRON
ejpam-5567	868	2	exist	exist	VERB
ejpam-5567	868	3	ternary	ternary	ADJ
ejpam-5567	868	4	soft	soft	ADJ
ejpam-5567	868	5	s	s	NOUN
ejpam-5567	868	6	-	-	ADJ
ejpam-5567	868	7	open	open	ADJ
ejpam-5567	868	8	sets	set	NOUN
ejpam-5567	868	9	(	(	PUNCT
ejpam-5567	868	10	f1	f1	NOUN
ejpam-5567	868	11	,	,	PUNCT
ejpam-5567	868	12	e	e	NOUN
ejpam-5567	868	13	)	)	PUNCT
ejpam-5567	868	14	and	and	CCONJ
ejpam-5567	868	15	(	(	PUNCT
ejpam-5567	868	16	f2	f2	PROPN
ejpam-5567	868	17	,	,	PUNCT
ejpam-5567	868	18	e	e	NOUN
ejpam-5567	868	19	)	)	PUNCT
ejpam-5567	868	20	such	such	ADJ
ejpam-5567	868	21	that	that	SCONJ
ejpam-5567	868	22	:	:	PUNCT
ejpam-5567	868	23	fe	fe	X
ejpam-5567	868	24	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	868	25	,	,	PUNCT
ejpam-5567	868	26	e	e	NOUN
ejpam-5567	868	27	)	)	PUNCT
ejpam-5567	868	28	,	,	PUNCT
ejpam-5567	868	29	ge	ge	PROPN
ejpam-5567	868	30	˜̃∈(f2	˜̃∈(f2	PROPN
ejpam-5567	868	31	,	,	PUNCT
ejpam-5567	868	32	e	e	NOUN
ejpam-5567	868	33	)	)	PUNCT
ejpam-5567	868	34	,	,	PUNCT
ejpam-5567	868	35	and	and	CCONJ
ejpam-5567	868	36	(	(	PUNCT
ejpam-5567	868	37	f1	f1	NOUN
ejpam-5567	868	38	,	,	PUNCT
ejpam-5567	868	39	e)˜̃∩(f2	e)˜̃∩(f2	NOUN
ejpam-5567	868	40	,	,	PUNCT
ejpam-5567	868	41	e	e	NOUN
ejpam-5567	868	42	)	)	PUNCT
ejpam-5567	868	43	=	=	VERB
ejpam-5567	869	1	˜̃∅.	˜̃∅.	NOUN
ejpam-5567	869	2	this	this	PRON
ejpam-5567	869	3	implies	imply	VERB
ejpam-5567	869	4	that	that	DET
ejpam-5567	869	5	x˜̃∈f	x˜̃∈f	PROPN
ejpam-5567	869	6	(	(	PUNCT
ejpam-5567	869	7	e	e	NOUN
ejpam-5567	869	8	)	)	PUNCT
ejpam-5567	869	9	˜̃⊆f1(e	˜̃⊆f1(e	ADJ
ejpam-5567	869	10	)	)	PUNCT
ejpam-5567	869	11	,	,	PUNCT
ejpam-5567	869	12	y	y	PROPN
ejpam-5567	869	13	˜̃∈g(e	˜̃∈g(e	PROPN
ejpam-5567	869	14	)	)	PUNCT
ejpam-5567	869	15	˜̃⊆f2(e	˜̃⊆f2(e	NOUN
ejpam-5567	869	16	)	)	PUNCT
ejpam-5567	869	17	,	,	PUNCT
ejpam-5567	869	18	and	and	CCONJ
ejpam-5567	869	19	f1(e	f1(e	ADJ
ejpam-5567	869	20	)	)	PUNCT
ejpam-5567	869	21	˜̃∩f2(e	˜̃∩f2(e	NOUN
ejpam-5567	869	22	)	)	PUNCT
ejpam-5567	869	23	=	=	VERB
ejpam-5567	870	1	˜̃∅.	˜̃∅.	PROPN
ejpam-5567	870	2	this	this	PRON
ejpam-5567	870	3	proves	prove	VERB
ejpam-5567	870	4	that	that	SCONJ
ejpam-5567	870	5	(	(	PUNCT
ejpam-5567	870	6	u1	u1	NOUN
ejpam-5567	870	7	,	,	PUNCT
ejpam-5567	870	8	u2	u2	NOUN
ejpam-5567	870	9	,	,	PUNCT
ejpam-5567	870	10	u3	u3	NOUN
ejpam-5567	870	11	,	,	PUNCT
ejpam-5567	870	12	τ∆e	τ∆e	NOUN
ejpam-5567	870	13	,	,	PUNCT
ejpam-5567	870	14	e	e	X
ejpam-5567	870	15	)	)	PUNCT
ejpam-5567	870	16	is	be	AUX
ejpam-5567	870	17	a	a	DET
ejpam-5567	870	18	ternary	ternary	ADJ
ejpam-5567	870	19	soft	soft	ADJ
ejpam-5567	870	20	s	s	NOUN
ejpam-5567	870	21	-	-	PUNCT
ejpam-5567	870	22	t∆2	t∆2	ADJ
ejpam-5567	870	23	space	space	NOUN
ejpam-5567	870	24	.	.	PUNCT
ejpam-5567	871	1	proposition	proposition	NOUN
ejpam-5567	871	2	17	17	NUM
ejpam-5567	871	3	.	.	PUNCT
ejpam-5567	872	1	let	let	AUX
ejpam-5567	872	2	(	(	PUNCT
ejpam-5567	872	3	u1	u1	NOUN
ejpam-5567	872	4	,	,	PUNCT
ejpam-5567	872	5	u2	u2	NOUN
ejpam-5567	872	6	,	,	PUNCT
ejpam-5567	872	7	u3	u3	NOUN
ejpam-5567	872	8	,	,	PUNCT
ejpam-5567	872	9	τ∆	τ∆	NOUN
ejpam-5567	872	10	,	,	PUNCT
ejpam-5567	872	11	e	e	X
ejpam-5567	872	12	)	)	PUNCT
ejpam-5567	872	13	be	be	AUX
ejpam-5567	872	14	a	a	DET
ejpam-5567	872	15	ternary	ternary	ADJ
ejpam-5567	872	16	soft	soft	ADJ
ejpam-5567	872	17	topological	topological	ADJ
ejpam-5567	872	18	space	space	NOUN
ejpam-5567	872	19	on	on	ADP
ejpam-5567	872	20	˜̃	˜̃	NOUN
ejpam-5567	872	21	x	x	SYM
ejpam-5567	872	22	over	over	ADP
ejpam-5567	872	23	(	(	PUNCT
ejpam-5567	872	24	u1×u2×u3	u1×u2×u3	NOUN
ejpam-5567	872	25	)	)	PUNCT
ejpam-5567	872	26	and	and	CCONJ
ejpam-5567	872	27	˜̃	˜̃	NOUN
ejpam-5567	872	28	y	y	PROPN
ejpam-5567	872	29	˜̃⊂	˜̃⊂	PROPN
ejpam-5567	872	30	˜̃	˜̃	NOUN
ejpam-5567	872	31	x.	x.	NOUN
ejpam-5567	872	32	then	then	ADV
ejpam-5567	872	33	,	,	PUNCT
ejpam-5567	872	34	if	if	SCONJ
ejpam-5567	872	35	(	(	PUNCT
ejpam-5567	872	36	u1	u1	NOUN
ejpam-5567	872	37	,	,	PUNCT
ejpam-5567	872	38	u2	u2	NOUN
ejpam-5567	872	39	,	,	PUNCT
ejpam-5567	872	40	u3	u3	NOUN
ejpam-5567	872	41	,	,	PUNCT
ejpam-5567	872	42	τ∆	τ∆	NOUN
ejpam-5567	872	43	,	,	PUNCT
ejpam-5567	872	44	e	e	NOUN
ejpam-5567	872	45	)	)	PUNCT
ejpam-5567	872	46	is	be	AUX
ejpam-5567	872	47	a	a	DET
ejpam-5567	872	48	ternary	ternary	ADJ
ejpam-5567	872	49	soft	soft	ADJ
ejpam-5567	872	50	s−τ∆2	s−τ∆2	PROPN
ejpam-5567	872	51	space	space	NOUN
ejpam-5567	872	52	,	,	PUNCT
ejpam-5567	872	53	then	then	ADV
ejpam-5567	872	54	(	(	PUNCT
ejpam-5567	872	55	u1	u1	NOUN
ejpam-5567	872	56	,	,	PUNCT
ejpam-5567	872	57	u2	u2	NOUN
ejpam-5567	872	58	,	,	PUNCT
ejpam-5567	872	59	u3	u3	NOUN
ejpam-5567	872	60	,	,	PUNCT
ejpam-5567	872	61	τ∆y	τ∆y	NOUN
ejpam-5567	872	62	,	,	PUNCT
ejpam-5567	872	63	e	e	X
ejpam-5567	872	64	)	)	PUNCT
ejpam-5567	872	65	is	be	AUX
ejpam-5567	872	66	a	a	DET
ejpam-5567	872	67	ternary	ternary	ADJ
ejpam-5567	872	68	soft	soft	ADJ
ejpam-5567	872	69	s−	s−	NOUN
ejpam-5567	872	70	t∆2	t∆2	ADP
ejpam-5567	872	71	space	space	NOUN
ejpam-5567	872	72	,	,	PUNCT
ejpam-5567	872	73	and	and	CCONJ
ejpam-5567	872	74	(	(	PUNCT
ejpam-5567	872	75	u1	u1	NOUN
ejpam-5567	872	76	,	,	PUNCT
ejpam-5567	872	77	u2	u2	NOUN
ejpam-5567	872	78	,	,	PUNCT
ejpam-5567	872	79	u3	u3	NOUN
ejpam-5567	872	80	,	,	PUNCT
ejpam-5567	872	81	τ∆e	τ∆e	NOUN
ejpam-5567	872	82	,	,	PUNCT
ejpam-5567	872	83	e	e	X
ejpam-5567	872	84	)	)	PUNCT
ejpam-5567	872	85	is	be	AUX
ejpam-5567	872	86	a	a	DET
ejpam-5567	872	87	ternary	ternary	ADJ
ejpam-5567	872	88	soft	soft	ADJ
ejpam-5567	872	89	s−	s−	NOUN
ejpam-5567	872	90	t∆2	t∆2	PRON
ejpam-5567	872	91	space	space	NOUN
ejpam-5567	872	92	for	for	ADP
ejpam-5567	872	93	each	each	DET
ejpam-5567	872	94	e˜̃∈e	e˜̃∈e	NOUN
ejpam-5567	872	95	.	.	PUNCT
ejpam-5567	873	1	proof	proof	NOUN
ejpam-5567	873	2	.	.	PUNCT
ejpam-5567	874	1	let	let	VERB
ejpam-5567	874	2	fe	fe	X
ejpam-5567	874	3	,	,	PUNCT
ejpam-5567	874	4	ge	ge	PROPN
ejpam-5567	874	5	˜̃∈	˜̃∈	PROPN
ejpam-5567	874	6	˜̃	˜̃	NOUN
ejpam-5567	874	7	y	y	PROPN
ejpam-5567	874	8	such	such	ADJ
ejpam-5567	874	9	that	that	DET
ejpam-5567	874	10	fe	fe	NOUN
ejpam-5567	874	11	̸=	̸=	PROPN
ejpam-5567	874	12	ge	ge	PROPN
ejpam-5567	874	13	.	.	PUNCT
ejpam-5567	875	1	then	then	ADV
ejpam-5567	875	2	fe	fe	X
ejpam-5567	875	3	,	,	PUNCT
ejpam-5567	875	4	ge	ge	PROPN
ejpam-5567	875	5	˜̃∈	˜̃∈	PROPN
ejpam-5567	876	1	˜̃	˜̃	NOUN
ejpam-5567	876	2	x.	x.	NOUN
ejpam-5567	876	3	since	since	SCONJ
ejpam-5567	876	4	(	(	PUNCT
ejpam-5567	876	5	u1	u1	NOUN
ejpam-5567	876	6	,	,	PUNCT
ejpam-5567	876	7	u2	u2	NOUN
ejpam-5567	876	8	,	,	PUNCT
ejpam-5567	876	9	u3	u3	NOUN
ejpam-5567	876	10	,	,	PUNCT
ejpam-5567	876	11	τ∆	τ∆	NOUN
ejpam-5567	876	12	,	,	PUNCT
ejpam-5567	876	13	e	e	NOUN
ejpam-5567	876	14	)	)	PUNCT
ejpam-5567	876	15	is	be	AUX
ejpam-5567	876	16	a	a	DET
ejpam-5567	876	17	ternary	ternary	ADJ
ejpam-5567	876	18	soft	soft	ADJ
ejpam-5567	876	19	s−	s−	NOUN
ejpam-5567	876	20	t∆2	t∆2	ADP
ejpam-5567	876	21	space	space	NOUN
ejpam-5567	876	22	,	,	PUNCT
ejpam-5567	876	23	there	there	PRON
ejpam-5567	876	24	exist	exist	VERB
ejpam-5567	876	25	ternary	ternary	ADJ
ejpam-5567	876	26	soft	soft	ADJ
ejpam-5567	876	27	s	s	NOUN
ejpam-5567	876	28	-	-	ADJ
ejpam-5567	876	29	open	open	ADJ
ejpam-5567	876	30	sets	set	NOUN
ejpam-5567	876	31	(	(	PUNCT
ejpam-5567	876	32	f1	f1	NOUN
ejpam-5567	876	33	,	,	PUNCT
ejpam-5567	876	34	e	e	NOUN
ejpam-5567	876	35	)	)	PUNCT
ejpam-5567	876	36	and	and	CCONJ
ejpam-5567	876	37	(	(	PUNCT
ejpam-5567	876	38	f2	f2	PROPN
ejpam-5567	876	39	,	,	PUNCT
ejpam-5567	876	40	e	e	NOUN
ejpam-5567	876	41	)	)	PUNCT
ejpam-5567	876	42	such	such	ADJ
ejpam-5567	876	43	that	that	DET
ejpam-5567	876	44	fe	fe	X
ejpam-5567	876	45	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	876	46	,	,	PUNCT
ejpam-5567	876	47	e	e	NOUN
ejpam-5567	876	48	)	)	PUNCT
ejpam-5567	876	49	and	and	CCONJ
ejpam-5567	876	50	ge	ge	PROPN
ejpam-5567	876	51	˜̃∈(f2	˜̃∈(f2	PROPN
ejpam-5567	876	52	,	,	PUNCT
ejpam-5567	876	53	e	e	NOUN
ejpam-5567	876	54	)	)	PUNCT
ejpam-5567	876	55	and	and	CCONJ
ejpam-5567	876	56	(	(	PUNCT
ejpam-5567	876	57	f1	f1	NOUN
ejpam-5567	876	58	,	,	PUNCT
ejpam-5567	876	59	e)˜̃∩(f2	e)˜̃∩(f2	NOUN
ejpam-5567	876	60	,	,	PUNCT
ejpam-5567	876	61	e	e	NOUN
ejpam-5567	876	62	)	)	PUNCT
ejpam-5567	876	63	=	=	SYM
ejpam-5567	876	64	˜̃∅.	˜̃∅.	PROPN
ejpam-5567	876	65	thus	thus	ADV
ejpam-5567	876	66	,	,	PUNCT
ejpam-5567	876	67	fe	fe	X
ejpam-5567	876	68	˜̃∈	˜̃∈	PROPN
ejpam-5567	876	69	˜̃	˜̃	NOUN
ejpam-5567	876	70	y	y	PROPN
ejpam-5567	876	71	˜̃∩	˜̃∩	ADP
ejpam-5567	876	72	=	=	PROPN
ejpam-5567	876	73	y	y	PROPN
ejpam-5567	876	74	(	(	PUNCT
ejpam-5567	876	75	f2	f2	PROPN
ejpam-5567	876	76	,	,	PUNCT
ejpam-5567	876	77	e	e	NOUN
ejpam-5567	876	78	)	)	PUNCT
ejpam-5567	876	79	and	and	CCONJ
ejpam-5567	876	80	y	y	PROPN
ejpam-5567	876	81	(	(	PUNCT
ejpam-5567	876	82	f2	f2	PROPN
ejpam-5567	876	83	,	,	PUNCT
ejpam-5567	876	84	e)˜̃∩y	e)˜̃∩y	PROPN
ejpam-5567	876	85	(	(	PUNCT
ejpam-5567	876	86	f2	f2	PROPN
ejpam-5567	876	87	,	,	PUNCT
ejpam-5567	876	88	e	e	NOUN
ejpam-5567	876	89	)	)	PUNCT
ejpam-5567	877	1	=	=	SYM
ejpam-5567	877	2	˜̃∅.	˜̃∅.	PROPN
ejpam-5567	877	3	therefore	therefore	ADV
ejpam-5567	877	4	,	,	PUNCT
ejpam-5567	877	5	it	it	PRON
ejpam-5567	877	6	proves	prove	VERB
ejpam-5567	877	7	that	that	SCONJ
ejpam-5567	877	8	(	(	PUNCT
ejpam-5567	877	9	u1	u1	NOUN
ejpam-5567	877	10	,	,	PUNCT
ejpam-5567	877	11	u2	u2	NOUN
ejpam-5567	877	12	,	,	PUNCT
ejpam-5567	877	13	u3	u3	NOUN
ejpam-5567	877	14	,	,	PUNCT
ejpam-5567	877	15	τ∆y	τ∆y	NOUN
ejpam-5567	877	16	,	,	PUNCT
ejpam-5567	877	17	e	e	X
ejpam-5567	877	18	)	)	PUNCT
ejpam-5567	877	19	is	be	AUX
ejpam-5567	877	20	a	a	DET
ejpam-5567	877	21	ternary	ternary	ADJ
ejpam-5567	877	22	soft	soft	ADJ
ejpam-5567	877	23	s−	s−	NOUN
ejpam-5567	877	24	t∆2	t∆2	ADP
ejpam-5567	877	25	space	space	NOUN
ejpam-5567	877	26	.	.	PUNCT
ejpam-5567	878	1	proposition	proposition	NOUN
ejpam-5567	878	2	18	18	NUM
ejpam-5567	878	3	.	.	PUNCT
ejpam-5567	879	1	let	let	AUX
ejpam-5567	879	2	(	(	PUNCT
ejpam-5567	879	3	u1	u1	NOUN
ejpam-5567	879	4	,	,	PUNCT
ejpam-5567	879	5	u2	u2	NOUN
ejpam-5567	879	6	,	,	PUNCT
ejpam-5567	879	7	u3	u3	NOUN
ejpam-5567	879	8	,	,	PUNCT
ejpam-5567	879	9	τ∆	τ∆	NOUN
ejpam-5567	879	10	,	,	PUNCT
ejpam-5567	879	11	e	e	X
ejpam-5567	879	12	)	)	PUNCT
ejpam-5567	879	13	be	be	AUX
ejpam-5567	879	14	a	a	DET
ejpam-5567	879	15	ternary	ternary	ADJ
ejpam-5567	879	16	soft	soft	ADJ
ejpam-5567	879	17	topological	topological	ADJ
ejpam-5567	879	18	space	space	NOUN
ejpam-5567	879	19	on	on	ADP
ejpam-5567	879	20	˜̃	˜̃	NOUN
ejpam-5567	879	21	x	x	SYM
ejpam-5567	879	22	over	over	ADP
ejpam-5567	879	23	(	(	PUNCT
ejpam-5567	879	24	u1	u1	NOUN
ejpam-5567	879	25	×	×	PROPN
ejpam-5567	879	26	u2	u2	PROPN
ejpam-5567	879	27	×	×	PROPN
ejpam-5567	879	28	u3	u3	PROPN
ejpam-5567	879	29	)	)	PUNCT
ejpam-5567	879	30	.	.	PUNCT
ejpam-5567	880	1	if	if	SCONJ
ejpam-5567	880	2	(	(	PUNCT
ejpam-5567	880	3	u1	u1	NOUN
ejpam-5567	880	4	,	,	PUNCT
ejpam-5567	880	5	u2	u2	NOUN
ejpam-5567	880	6	,	,	PUNCT
ejpam-5567	880	7	u3	u3	NOUN
ejpam-5567	880	8	,	,	PUNCT
ejpam-5567	880	9	τ∆	τ∆	NOUN
ejpam-5567	880	10	,	,	PUNCT
ejpam-5567	880	11	e	e	NOUN
ejpam-5567	880	12	)	)	PUNCT
ejpam-5567	880	13	is	be	AUX
ejpam-5567	880	14	a	a	DET
ejpam-5567	880	15	ternary	ternary	ADJ
ejpam-5567	880	16	soft	soft	ADJ
ejpam-5567	880	17	s	s	NOUN
ejpam-5567	880	18	−	−	NOUN
ejpam-5567	880	19	t∆2	t∆2	NOUN
ejpam-5567	880	20	space	space	NOUN
ejpam-5567	880	21	and	and	CCONJ
ejpam-5567	880	22	for	for	ADP
ejpam-5567	880	23	any	any	DET
ejpam-5567	880	24	two	two	NUM
ejpam-5567	880	25	ternary	ternary	ADJ
ejpam-5567	880	26	soft	soft	ADJ
ejpam-5567	880	27	points	point	NOUN
ejpam-5567	880	28	fe	fe	X
ejpam-5567	880	29	,	,	PUNCT
ejpam-5567	880	30	ge	ge	PROPN
ejpam-5567	880	31	˜̃∈	˜̃∈	PROPN
ejpam-5567	880	32	˜̃	˜̃	NOUN
ejpam-5567	880	33	x	x	INTJ
ejpam-5567	880	34	such	such	ADJ
ejpam-5567	880	35	that	that	DET
ejpam-5567	880	36	fe	fe	NOUN
ejpam-5567	880	37	̸=	̸=	PROPN
ejpam-5567	880	38	ge	ge	PROPN
ejpam-5567	880	39	,	,	PUNCT
ejpam-5567	880	40	then	then	ADV
ejpam-5567	880	41	there	there	PRON
ejpam-5567	880	42	exist	exist	VERB
ejpam-5567	880	43	ternary	ternary	ADJ
ejpam-5567	880	44	soft	soft	ADJ
ejpam-5567	880	45	sclosed	sclose	VERB
ejpam-5567	880	46	sets	set	NOUN
ejpam-5567	880	47	(	(	PUNCT
ejpam-5567	880	48	f1	f1	NOUN
ejpam-5567	880	49	,	,	PUNCT
ejpam-5567	880	50	e	e	NOUN
ejpam-5567	880	51	)	)	PUNCT
ejpam-5567	880	52	and	and	CCONJ
ejpam-5567	880	53	(	(	PUNCT
ejpam-5567	880	54	f2	f2	PROPN
ejpam-5567	880	55	,	,	PUNCT
ejpam-5567	880	56	e	e	NOUN
ejpam-5567	880	57	)	)	PUNCT
ejpam-5567	881	1	such	such	ADJ
ejpam-5567	881	2	that	that	DET
ejpam-5567	881	3	fe	fe	X
ejpam-5567	881	4	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	881	5	,	,	PUNCT
ejpam-5567	881	6	e	e	NOUN
ejpam-5567	881	7	)	)	PUNCT
ejpam-5567	881	8	and	and	CCONJ
ejpam-5567	881	9	ge	ge	PROPN
ejpam-5567	881	10	˜̃	˜̃	PROPN
ejpam-5567	881	11	/∈(f1	/∈(f1	PUNCT
ejpam-5567	881	12	,	,	PUNCT
ejpam-5567	881	13	e	e	NOUN
ejpam-5567	881	14	)	)	PUNCT
ejpam-5567	881	15	or	or	CCONJ
ejpam-5567	881	16	ge	ge	PROPN
ejpam-5567	881	17	˜̃∈(f2	˜̃∈(f2	PROPN
ejpam-5567	881	18	,	,	PUNCT
ejpam-5567	881	19	e	e	NOUN
ejpam-5567	881	20	)	)	PUNCT
ejpam-5567	881	21	and	and	CCONJ
ejpam-5567	881	22	(	(	PUNCT
ejpam-5567	881	23	f1	f1	NOUN
ejpam-5567	881	24	,	,	PUNCT
ejpam-5567	881	25	e)˜̃∪(f2	e)˜̃∪(f2	NOUN
ejpam-5567	881	26	,	,	PUNCT
ejpam-5567	881	27	e	e	NOUN
ejpam-5567	881	28	)	)	PUNCT
ejpam-5567	881	29	=	=	NOUN
ejpam-5567	881	30	˜̃	˜̃	NOUN
ejpam-5567	881	31	x.	x.	NOUN
ejpam-5567	881	32	proof	proof	NOUN
ejpam-5567	881	33	.	.	PUNCT
ejpam-5567	882	1	let	let	AUX
ejpam-5567	882	2	(	(	PUNCT
ejpam-5567	882	3	u1	u1	NOUN
ejpam-5567	882	4	,	,	PUNCT
ejpam-5567	882	5	u2	u2	NOUN
ejpam-5567	882	6	,	,	PUNCT
ejpam-5567	882	7	u3	u3	NOUN
ejpam-5567	882	8	,	,	PUNCT
ejpam-5567	882	9	τ∆	τ∆	NOUN
ejpam-5567	882	10	,	,	PUNCT
ejpam-5567	882	11	e	e	X
ejpam-5567	882	12	)	)	PUNCT
ejpam-5567	882	13	be	be	AUX
ejpam-5567	882	14	a	a	DET
ejpam-5567	882	15	ternary	ternary	ADJ
ejpam-5567	882	16	soft	soft	ADJ
ejpam-5567	882	17	topological	topological	ADJ
ejpam-5567	882	18	space	space	NOUN
ejpam-5567	882	19	on	on	ADP
ejpam-5567	882	20	˜̃	˜̃	NOUN
ejpam-5567	882	21	x	x	SYM
ejpam-5567	882	22	over	over	ADP
ejpam-5567	882	23	(	(	PUNCT
ejpam-5567	882	24	u1	u1	NOUN
ejpam-5567	882	25	×	×	PROPN
ejpam-5567	882	26	u2	u2	PROPN
ejpam-5567	882	27	×	×	PROPN
ejpam-5567	882	28	u3	u3	PROPN
ejpam-5567	882	29	)	)	PUNCT
ejpam-5567	882	30	.	.	PUNCT
ejpam-5567	883	1	since	since	SCONJ
ejpam-5567	883	2	(	(	PUNCT
ejpam-5567	883	3	u1	u1	PROPN
ejpam-5567	883	4	,	,	PUNCT
ejpam-5567	883	5	u2	u2	NOUN
ejpam-5567	883	6	,	,	PUNCT
ejpam-5567	883	7	u3	u3	NOUN
ejpam-5567	883	8	,	,	PUNCT
ejpam-5567	883	9	τ∆	τ∆	NOUN
ejpam-5567	883	10	,	,	PUNCT
ejpam-5567	883	11	e	e	NOUN
ejpam-5567	883	12	)	)	PUNCT
ejpam-5567	883	13	is	be	AUX
ejpam-5567	883	14	a	a	DET
ejpam-5567	883	15	ternary	ternary	ADJ
ejpam-5567	883	16	soft	soft	ADJ
ejpam-5567	883	17	s−	s−	NOUN
ejpam-5567	883	18	t∆2	t∆2	ADP
ejpam-5567	883	19	space	space	NOUN
ejpam-5567	883	20	and	and	CCONJ
ejpam-5567	883	21	fe	fe	NOUN
ejpam-5567	883	22	,	,	PUNCT
ejpam-5567	883	23	ge	ge	PROPN
ejpam-5567	883	24	˜̃∈	˜̃∈	PROPN
ejpam-5567	883	25	˜̃	˜̃	NOUN
ejpam-5567	883	26	x	x	INTJ
ejpam-5567	883	27	such	such	ADJ
ejpam-5567	883	28	that	that	DET
ejpam-5567	883	29	fe	fe	NOUN
ejpam-5567	883	30	̸=	̸=	PROPN
ejpam-5567	883	31	ge	ge	PROPN
ejpam-5567	883	32	,	,	PUNCT
ejpam-5567	883	33	there	there	PRON
ejpam-5567	883	34	exist	exist	VERB
ejpam-5567	883	35	ternary	ternary	ADJ
ejpam-5567	883	36	soft	soft	ADJ
ejpam-5567	883	37	s	s	NOUN
ejpam-5567	883	38	-	-	ADJ
ejpam-5567	883	39	open	open	ADJ
ejpam-5567	883	40	sets	set	NOUN
ejpam-5567	883	41	(	(	PUNCT
ejpam-5567	883	42	h	h	NOUN
ejpam-5567	883	43	,	,	PUNCT
ejpam-5567	883	44	e	e	NOUN
ejpam-5567	883	45	)	)	PUNCT
ejpam-5567	883	46	and	and	CCONJ
ejpam-5567	883	47	(	(	PUNCT
ejpam-5567	883	48	l	l	NOUN
ejpam-5567	883	49	,	,	PUNCT
ejpam-5567	883	50	e	e	NOUN
ejpam-5567	883	51	)	)	PUNCT
ejpam-5567	883	52	such	such	ADJ
ejpam-5567	883	53	that	that	DET
ejpam-5567	883	54	fe	fe	NOUN
ejpam-5567	883	55	˜̃∈(h	˜̃∈(h	NOUN
ejpam-5567	883	56	,	,	PUNCT
ejpam-5567	883	57	e	e	NOUN
ejpam-5567	883	58	)	)	PUNCT
ejpam-5567	883	59	and	and	CCONJ
ejpam-5567	883	60	ge	ge	PROPN
ejpam-5567	883	61	˜̃∈(l	˜̃∈(l	X
ejpam-5567	883	62	,	,	PUNCT
ejpam-5567	883	63	e	e	NOUN
ejpam-5567	883	64	)	)	PUNCT
ejpam-5567	883	65	and	and	CCONJ
ejpam-5567	883	66	(	(	PUNCT
ejpam-5567	883	67	h	h	NOUN
ejpam-5567	883	68	,	,	PUNCT
ejpam-5567	883	69	e)˜̃∩(l	e)˜̃∩(l	PROPN
ejpam-5567	883	70	,	,	PUNCT
ejpam-5567	883	71	e	e	NOUN
ejpam-5567	883	72	)	)	PUNCT
ejpam-5567	883	73	=	=	SYM
ejpam-5567	883	74	˜̃∅.	˜̃∅.	PROPN
ejpam-5567	883	75	clearly	clearly	ADV
ejpam-5567	883	76	,	,	PUNCT
ejpam-5567	883	77	(	(	PUNCT
ejpam-5567	883	78	h	h	NOUN
ejpam-5567	883	79	,	,	PUNCT
ejpam-5567	883	80	e	e	NOUN
ejpam-5567	883	81	)	)	PUNCT
ejpam-5567	883	82	˜̃⊂(l	˜̃⊂(l	NOUN
ejpam-5567	883	83	,	,	PUNCT
ejpam-5567	883	84	e)c	e)c	PUNCT
ejpam-5567	883	85	and	and	CCONJ
ejpam-5567	883	86	(	(	PUNCT
ejpam-5567	883	87	l	l	NOUN
ejpam-5567	883	88	,	,	PUNCT
ejpam-5567	883	89	e	e	NOUN
ejpam-5567	883	90	)	)	PUNCT
ejpam-5567	883	91	˜̃⊂(h	˜̃⊂(h	SYM
ejpam-5567	883	92	,	,	PUNCT
ejpam-5567	883	93	e)c	e)c	X
ejpam-5567	883	94	.	.	PUNCT
ejpam-5567	884	1	hence	hence	ADV
ejpam-5567	884	2	,	,	PUNCT
ejpam-5567	884	3	fe	fe	X
ejpam-5567	884	4	˜̃∈(l	˜̃∈(l	X
ejpam-5567	884	5	,	,	PUNCT
ejpam-5567	884	6	e)c	e)c	X
ejpam-5567	884	7	,	,	PUNCT
ejpam-5567	884	8	and	and	CCONJ
ejpam-5567	884	9	we	we	PRON
ejpam-5567	884	10	set	set	VERB
ejpam-5567	884	11	(	(	PUNCT
ejpam-5567	884	12	l	l	NOUN
ejpam-5567	884	13	,	,	PUNCT
ejpam-5567	884	14	e)c	e)c	X
ejpam-5567	884	15	=	=	SYM
ejpam-5567	884	16	(	(	PUNCT
ejpam-5567	884	17	f1	f1	NOUN
ejpam-5567	884	18	,	,	PUNCT
ejpam-5567	884	19	e	e	NOUN
ejpam-5567	884	20	)	)	PUNCT
ejpam-5567	884	21	,	,	PUNCT
ejpam-5567	884	22	which	which	PRON
ejpam-5567	884	23	gives	give	VERB
ejpam-5567	884	24	fe	fe	NOUN
ejpam-5567	884	25	˜̃∈(f1	˜̃∈(f1	NOUN
ejpam-5567	884	26	,	,	PUNCT
ejpam-5567	884	27	e	e	NOUN
ejpam-5567	884	28	)	)	PUNCT
ejpam-5567	884	29	and	and	CCONJ
ejpam-5567	884	30	ge	ge	PROPN
ejpam-5567	884	31	˜̃	˜̃	PROPN
ejpam-5567	884	32	/∈(f1	/∈(f1	PUNCT
ejpam-5567	884	33	,	,	PUNCT
ejpam-5567	884	34	e	e	NOUN
ejpam-5567	884	35	)	)	PUNCT
ejpam-5567	884	36	.	.	PUNCT
ejpam-5567	885	1	also	also	ADV
ejpam-5567	885	2	,	,	PUNCT
ejpam-5567	885	3	ge	ge	PROPN
ejpam-5567	885	4	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	885	5	,	,	PUNCT
ejpam-5567	885	6	e)c	e)c	NOUN
ejpam-5567	885	7	,	,	PUNCT
ejpam-5567	885	8	so	so	SCONJ
ejpam-5567	885	9	we	we	PRON
ejpam-5567	885	10	set	set	VERB
ejpam-5567	885	11	(	(	PUNCT
ejpam-5567	885	12	h	h	NOUN
ejpam-5567	885	13	,	,	PUNCT
ejpam-5567	885	14	e)c	e)c	X
ejpam-5567	885	15	=	=	SYM
ejpam-5567	885	16	(	(	PUNCT
ejpam-5567	885	17	f2	f2	PROPN
ejpam-5567	885	18	,	,	PUNCT
ejpam-5567	885	19	e	e	NOUN
ejpam-5567	885	20	)	)	PUNCT
ejpam-5567	885	21	.	.	PUNCT
ejpam-5567	886	1	therefore	therefore	ADV
ejpam-5567	886	2	,	,	PUNCT
ejpam-5567	886	3	fe	fe	X
ejpam-5567	886	4	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	886	5	,	,	PUNCT
ejpam-5567	886	6	e	e	NOUN
ejpam-5567	886	7	)	)	PUNCT
ejpam-5567	886	8	and	and	CCONJ
ejpam-5567	886	9	ge	ge	PROPN
ejpam-5567	886	10	˜̃∈(f2	˜̃∈(f2	PROPN
ejpam-5567	886	11	,	,	PUNCT
ejpam-5567	886	12	e	e	NOUN
ejpam-5567	886	13	)	)	PUNCT
ejpam-5567	886	14	.	.	PUNCT
ejpam-5567	887	1	moreover	moreover	ADV
ejpam-5567	887	2	,	,	PUNCT
ejpam-5567	887	3	(	(	PUNCT
ejpam-5567	887	4	f1	f1	NOUN
ejpam-5567	887	5	,	,	PUNCT
ejpam-5567	887	6	e)˜̃∪(f2	e)˜̃∪(f2	NOUN
ejpam-5567	887	7	,	,	PUNCT
ejpam-5567	887	8	e	e	NOUN
ejpam-5567	887	9	)	)	PUNCT
ejpam-5567	887	10	=	=	SYM
ejpam-5567	887	11	(	(	PUNCT
ejpam-5567	887	12	l	l	NOUN
ejpam-5567	887	13	,	,	PUNCT
ejpam-5567	887	14	e)c	e)c	X
ejpam-5567	887	15	˜̃∪(h	˜̃∪(h	PROPN
ejpam-5567	887	16	,	,	PUNCT
ejpam-5567	887	17	e)c	e)c	X
ejpam-5567	887	18	=	=	SYM
ejpam-5567	887	19	˜̃	˜̃	NOUN
ejpam-5567	887	20	x.	x.	NOUN
ejpam-5567	887	21	definition	definition	NOUN
ejpam-5567	887	22	38	38	NUM
ejpam-5567	887	23	.	.	PUNCT
ejpam-5567	888	1	let	let	AUX
ejpam-5567	888	2	(	(	PUNCT
ejpam-5567	888	3	u1	u1	NOUN
ejpam-5567	888	4	,	,	PUNCT
ejpam-5567	888	5	u2	u2	NOUN
ejpam-5567	888	6	,	,	PUNCT
ejpam-5567	888	7	u3	u3	NOUN
ejpam-5567	888	8	,	,	PUNCT
ejpam-5567	888	9	τ∆	τ∆	NOUN
ejpam-5567	888	10	,	,	PUNCT
ejpam-5567	888	11	e	e	X
ejpam-5567	888	12	)	)	PUNCT
ejpam-5567	888	13	be	be	AUX
ejpam-5567	888	14	a	a	DET
ejpam-5567	888	15	ternary	ternary	ADJ
ejpam-5567	888	16	soft	soft	ADJ
ejpam-5567	888	17	topological	topological	ADJ
ejpam-5567	888	18	space	space	NOUN
ejpam-5567	888	19	on	on	ADP
ejpam-5567	888	20	˜̃	˜̃	NOUN
ejpam-5567	888	21	x	x	SYM
ejpam-5567	888	22	over	over	ADP
ejpam-5567	888	23	(	(	PUNCT
ejpam-5567	888	24	u1	u1	NOUN
ejpam-5567	888	25	×	×	PROPN
ejpam-5567	888	26	u2	u2	PROPN
ejpam-5567	888	27	×	×	PROPN
ejpam-5567	888	28	u3	u3	PROPN
ejpam-5567	888	29	)	)	PUNCT
ejpam-5567	888	30	.	.	PUNCT
ejpam-5567	889	1	let	let	AUX
ejpam-5567	889	2	(	(	PUNCT
ejpam-5567	889	3	f	f	X
ejpam-5567	889	4	,	,	PUNCT
ejpam-5567	889	5	e	e	NOUN
ejpam-5567	889	6	)	)	PUNCT
ejpam-5567	889	7	be	be	AUX
ejpam-5567	889	8	a	a	DET
ejpam-5567	889	9	ternary	ternary	ADJ
ejpam-5567	889	10	soft	soft	ADJ
ejpam-5567	889	11	s	s	NOUN
ejpam-5567	889	12	-	-	PUNCT
ejpam-5567	889	13	closed	closed	ADJ
ejpam-5567	889	14	set	set	NOUN
ejpam-5567	889	15	in	in	ADP
ejpam-5567	889	16	(	(	PUNCT
ejpam-5567	889	17	u1	u1	NOUN
ejpam-5567	889	18	,	,	PUNCT
ejpam-5567	889	19	u2	u2	NOUN
ejpam-5567	889	20	,	,	PUNCT
ejpam-5567	889	21	u3	u3	NOUN
ejpam-5567	889	22	,	,	PUNCT
ejpam-5567	889	23	τ∆	τ∆	NOUN
ejpam-5567	889	24	,	,	PUNCT
ejpam-5567	889	25	e	e	NOUN
ejpam-5567	889	26	)	)	PUNCT
ejpam-5567	889	27	,	,	PUNCT
ejpam-5567	889	28	and	and	CCONJ
ejpam-5567	889	29	fe	fe	X
ejpam-5567	889	30	˜̃	˜̃	NOUN
ejpam-5567	889	31	/∈(f	/∈(f	PUNCT
ejpam-5567	889	32	,	,	PUNCT
ejpam-5567	889	33	e	e	NOUN
ejpam-5567	889	34	)	)	PUNCT
ejpam-5567	889	35	.	.	PUNCT
ejpam-5567	890	1	if	if	SCONJ
ejpam-5567	890	2	there	there	PRON
ejpam-5567	890	3	exist	exist	VERB
ejpam-5567	890	4	ternary	ternary	ADJ
ejpam-5567	890	5	soft	soft	ADJ
ejpam-5567	890	6	s	s	NOUN
ejpam-5567	890	7	-	-	ADJ
ejpam-5567	890	8	open	open	ADJ
ejpam-5567	890	9	sets	set	NOUN
ejpam-5567	890	10	(	(	PUNCT
ejpam-5567	890	11	g	g	NOUN
ejpam-5567	890	12	,	,	PUNCT
ejpam-5567	890	13	e	e	NOUN
ejpam-5567	890	14	)	)	PUNCT
ejpam-5567	890	15	and	and	CCONJ
ejpam-5567	890	16	(	(	PUNCT
ejpam-5567	890	17	h	h	NOUN
ejpam-5567	890	18	,	,	PUNCT
ejpam-5567	890	19	e	e	NOUN
ejpam-5567	890	20	)	)	PUNCT
ejpam-5567	890	21	such	such	ADJ
ejpam-5567	890	22	that	that	DET
ejpam-5567	890	23	fe	fe	PROPN
ejpam-5567	890	24	˜̃∈(g	˜̃∈(g	X
ejpam-5567	890	25	,	,	PUNCT
ejpam-5567	890	26	e	e	NOUN
ejpam-5567	890	27	)	)	PUNCT
ejpam-5567	890	28	,	,	PUNCT
ejpam-5567	890	29	(	(	PUNCT
ejpam-5567	890	30	f	f	X
ejpam-5567	890	31	,	,	PUNCT
ejpam-5567	890	32	e	e	NOUN
ejpam-5567	890	33	)	)	PUNCT
ejpam-5567	890	34	˜̃⊂(h	˜̃⊂(h	SYM
ejpam-5567	890	35	,	,	PUNCT
ejpam-5567	890	36	e	e	NOUN
ejpam-5567	890	37	)	)	PUNCT
ejpam-5567	890	38	,	,	PUNCT
ejpam-5567	890	39	and	and	CCONJ
ejpam-5567	890	40	(	(	PUNCT
ejpam-5567	890	41	f	f	X
ejpam-5567	890	42	,	,	PUNCT
ejpam-5567	890	43	e)˜̃∩(h	e)˜̃∩(h	PROPN
ejpam-5567	890	44	,	,	PUNCT
ejpam-5567	890	45	e	e	NOUN
ejpam-5567	890	46	)	)	PUNCT
ejpam-5567	890	47	=	=	SYM
ejpam-5567	890	48	˜̃∅	˜̃∅	NOUN
ejpam-5567	890	49	,	,	PUNCT
ejpam-5567	890	50	then	then	ADV
ejpam-5567	890	51	(	(	PUNCT
ejpam-5567	890	52	u1	u1	NOUN
ejpam-5567	890	53	,	,	PUNCT
ejpam-5567	890	54	u2	u2	NOUN
ejpam-5567	890	55	,	,	PUNCT
ejpam-5567	890	56	u3	u3	NOUN
ejpam-5567	890	57	,	,	PUNCT
ejpam-5567	890	58	τ∆	τ∆	NOUN
ejpam-5567	890	59	,	,	PUNCT
ejpam-5567	890	60	e	e	NOUN
ejpam-5567	890	61	)	)	PUNCT
ejpam-5567	890	62	is	be	AUX
ejpam-5567	890	63	called	call	VERB
ejpam-5567	890	64	a	a	DET
ejpam-5567	890	65	ternary	ternary	ADJ
ejpam-5567	890	66	soft	soft	ADJ
ejpam-5567	890	67	s	s	NOUN
ejpam-5567	890	68	-	-	ADJ
ejpam-5567	890	69	regular	regular	ADJ
ejpam-5567	890	70	space	space	NOUN
ejpam-5567	890	71	.	.	PUNCT
ejpam-5567	891	1	proposition	proposition	NOUN
ejpam-5567	891	2	19	19	NUM
ejpam-5567	891	3	.	.	PUNCT
ejpam-5567	892	1	let	let	AUX
ejpam-5567	892	2	(	(	PUNCT
ejpam-5567	892	3	u1	u1	NOUN
ejpam-5567	892	4	,	,	PUNCT
ejpam-5567	892	5	u2	u2	NOUN
ejpam-5567	892	6	,	,	PUNCT
ejpam-5567	892	7	u3	u3	NOUN
ejpam-5567	892	8	,	,	PUNCT
ejpam-5567	892	9	τ∆	τ∆	NOUN
ejpam-5567	892	10	,	,	PUNCT
ejpam-5567	892	11	e	e	X
ejpam-5567	892	12	)	)	PUNCT
ejpam-5567	892	13	be	be	AUX
ejpam-5567	892	14	a	a	DET
ejpam-5567	892	15	ternary	ternary	ADJ
ejpam-5567	892	16	soft	soft	ADJ
ejpam-5567	892	17	topological	topological	ADJ
ejpam-5567	892	18	space	space	NOUN
ejpam-5567	892	19	of	of	ADP
ejpam-5567	892	20	˜̃	˜̃	NOUN
ejpam-5567	892	21	x	x	SYM
ejpam-5567	892	22	over	over	ADP
ejpam-5567	892	23	(	(	PUNCT
ejpam-5567	892	24	u1	u1	NOUN
ejpam-5567	892	25	×	×	PROPN
ejpam-5567	892	26	u2	u2	PROPN
ejpam-5567	892	27	×	×	PROPN
ejpam-5567	892	28	u3	u3	PROPN
ejpam-5567	892	29	)	)	PUNCT
ejpam-5567	892	30	.	.	PUNCT
ejpam-5567	893	1	then	then	ADV
ejpam-5567	893	2	the	the	DET
ejpam-5567	893	3	following	follow	VERB
ejpam-5567	893	4	statements	statement	NOUN
ejpam-5567	893	5	are	be	AUX
ejpam-5567	893	6	equivalent	equivalent	ADJ
ejpam-5567	893	7	:	:	PUNCT
ejpam-5567	893	8	m.	m.	NOUN
ejpam-5567	893	9	nawaz	nawaz	NOUN
ejpam-5567	893	10	et	et	PROPN
ejpam-5567	893	11	al	al	PROPN
ejpam-5567	893	12	.	.	PUNCT
ejpam-5567	893	13	/	/	SYM
ejpam-5567	893	14	eur	eur	PROPN
ejpam-5567	893	15	.	.	PUNCT
ejpam-5567	894	1	j.	j.	PROPN
ejpam-5567	894	2	pure	pure	PROPN
ejpam-5567	894	3	appl	appl	PROPN
ejpam-5567	894	4	.	.	PROPN
ejpam-5567	894	5	math	math	PROPN
ejpam-5567	894	6	,	,	PUNCT
ejpam-5567	894	7	18	18	NUM
ejpam-5567	894	8	(	(	PUNCT
ejpam-5567	894	9	1	1	NUM
ejpam-5567	894	10	)	)	PUNCT
ejpam-5567	894	11	(	(	PUNCT
ejpam-5567	894	12	2025	2025	NUM
ejpam-5567	894	13	)	)	PUNCT
ejpam-5567	894	14	,	,	PUNCT
ejpam-5567	894	15	5567	5567	NUM
ejpam-5567	894	16	37	37	NUM
ejpam-5567	894	17	of	of	ADP
ejpam-5567	894	18	45	45	NUM
ejpam-5567	894	19	(	(	PUNCT
ejpam-5567	894	20	i	i	NOUN
ejpam-5567	894	21	)	)	PUNCT
ejpam-5567	894	22	(	(	PUNCT
ejpam-5567	894	23	u1	u1	NOUN
ejpam-5567	894	24	,	,	PUNCT
ejpam-5567	894	25	u2	u2	NOUN
ejpam-5567	894	26	,	,	PUNCT
ejpam-5567	894	27	u3	u3	NOUN
ejpam-5567	894	28	,	,	PUNCT
ejpam-5567	894	29	τ∆	τ∆	NOUN
ejpam-5567	894	30	,	,	PUNCT
ejpam-5567	894	31	e	e	X
ejpam-5567	894	32	)	)	PUNCT
ejpam-5567	894	33	is	be	AUX
ejpam-5567	894	34	ternary	ternary	ADJ
ejpam-5567	894	35	soft	soft	ADJ
ejpam-5567	894	36	s	s	NOUN
ejpam-5567	894	37	-	-	NOUN
ejpam-5567	894	38	regular	regular	ADJ
ejpam-5567	894	39	.	.	PUNCT
ejpam-5567	895	1	(	(	PUNCT
ejpam-5567	895	2	ii	ii	NOUN
ejpam-5567	895	3	)	)	PUNCT
ejpam-5567	895	4	for	for	ADP
ejpam-5567	895	5	any	any	DET
ejpam-5567	895	6	ternary	ternary	ADJ
ejpam-5567	895	7	soft	soft	ADJ
ejpam-5567	895	8	s	s	NOUN
ejpam-5567	895	9	-	-	ADJ
ejpam-5567	895	10	open	open	ADJ
ejpam-5567	895	11	set	set	NOUN
ejpam-5567	895	12	(	(	PUNCT
ejpam-5567	895	13	f	f	X
ejpam-5567	895	14	,	,	PUNCT
ejpam-5567	895	15	e	e	NOUN
ejpam-5567	895	16	)	)	PUNCT
ejpam-5567	895	17	in	in	ADP
ejpam-5567	895	18	(	(	PUNCT
ejpam-5567	895	19	u1	u1	NOUN
ejpam-5567	895	20	,	,	PUNCT
ejpam-5567	895	21	u2	u2	NOUN
ejpam-5567	895	22	,	,	PUNCT
ejpam-5567	895	23	u3	u3	NOUN
ejpam-5567	895	24	,	,	PUNCT
ejpam-5567	895	25	τ∆	τ∆	NOUN
ejpam-5567	895	26	,	,	PUNCT
ejpam-5567	895	27	e	e	NOUN
ejpam-5567	895	28	)	)	PUNCT
ejpam-5567	895	29	and	and	CCONJ
ejpam-5567	895	30	ge	ge	PROPN
ejpam-5567	895	31	˜̃∈(f	˜̃∈(f	NOUN
ejpam-5567	895	32	,	,	PUNCT
ejpam-5567	895	33	e	e	NOUN
ejpam-5567	895	34	)	)	PUNCT
ejpam-5567	895	35	,	,	PUNCT
ejpam-5567	895	36	there	there	PRON
ejpam-5567	895	37	is	be	VERB
ejpam-5567	895	38	a	a	DET
ejpam-5567	895	39	ternary	ternary	ADJ
ejpam-5567	895	40	soft	soft	ADJ
ejpam-5567	895	41	s	s	NOUN
ejpam-5567	895	42	-	-	ADJ
ejpam-5567	895	43	open	open	ADJ
ejpam-5567	895	44	set	set	NOUN
ejpam-5567	895	45	(	(	PUNCT
ejpam-5567	895	46	g	g	NOUN
ejpam-5567	895	47	,	,	PUNCT
ejpam-5567	895	48	e	e	NOUN
ejpam-5567	895	49	)	)	PUNCT
ejpam-5567	895	50	containing	contain	VERB
ejpam-5567	895	51	ge	ge	PROPN
ejpam-5567	895	52	such	such	ADJ
ejpam-5567	895	53	that	that	SCONJ
ejpam-5567	895	54	ge	ge	PROPN
ejpam-5567	895	55	˜̃∈(g	˜̃∈(g	PROPN
ejpam-5567	895	56	,	,	PUNCT
ejpam-5567	895	57	e	e	NOUN
ejpam-5567	895	58	)	)	PUNCT
ejpam-5567	895	59	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	895	60	,	,	PUNCT
ejpam-5567	895	61	e	e	NOUN
ejpam-5567	895	62	)	)	PUNCT
ejpam-5567	895	63	.	.	PUNCT
ejpam-5567	896	1	(	(	PUNCT
ejpam-5567	896	2	iii	iii	X
ejpam-5567	896	3	)	)	PUNCT
ejpam-5567	896	4	each	each	DET
ejpam-5567	896	5	ternary	ternary	ADJ
ejpam-5567	896	6	soft	soft	ADJ
ejpam-5567	896	7	point	point	NOUN
ejpam-5567	896	8	in	in	ADP
ejpam-5567	896	9	(	(	PUNCT
ejpam-5567	896	10	u1	u1	NOUN
ejpam-5567	896	11	,	,	PUNCT
ejpam-5567	896	12	u2	u2	NOUN
ejpam-5567	896	13	,	,	PUNCT
ejpam-5567	896	14	u3	u3	NOUN
ejpam-5567	896	15	,	,	PUNCT
ejpam-5567	896	16	τ∆	τ∆	NOUN
ejpam-5567	896	17	,	,	PUNCT
ejpam-5567	896	18	e	e	X
ejpam-5567	896	19	)	)	PUNCT
ejpam-5567	896	20	has	have	VERB
ejpam-5567	896	21	a	a	DET
ejpam-5567	896	22	ternary	ternary	ADJ
ejpam-5567	896	23	soft	soft	ADJ
ejpam-5567	896	24	neighbourhood	neighbourhood	NOUN
ejpam-5567	896	25	base	base	NOUN
ejpam-5567	896	26	consisting	consist	VERB
ejpam-5567	896	27	of	of	ADP
ejpam-5567	896	28	ternary	ternary	ADJ
ejpam-5567	896	29	soft	soft	ADJ
ejpam-5567	896	30	s	s	NOUN
ejpam-5567	896	31	-	-	PUNCT
ejpam-5567	896	32	closed	closed	ADJ
ejpam-5567	896	33	sets	set	NOUN
ejpam-5567	896	34	.	.	PUNCT
ejpam-5567	897	1	proof	proof	NOUN
ejpam-5567	897	2	.	.	PUNCT
ejpam-5567	898	1	(	(	PUNCT
ejpam-5567	898	2	i	i	NOUN
ejpam-5567	898	3	)	)	PUNCT
ejpam-5567	898	4	⇒	⇒	PROPN
ejpam-5567	898	5	(	(	PUNCT
ejpam-5567	898	6	ii	ii	PROPN
ejpam-5567	898	7	):	):	PUNCT
ejpam-5567	898	8	let	let	VERB
ejpam-5567	898	9	(	(	PUNCT
ejpam-5567	898	10	f	f	X
ejpam-5567	898	11	,	,	PUNCT
ejpam-5567	898	12	e	e	NOUN
ejpam-5567	898	13	)	)	PUNCT
ejpam-5567	898	14	be	be	AUX
ejpam-5567	898	15	a	a	DET
ejpam-5567	898	16	ternary	ternary	ADJ
ejpam-5567	898	17	soft	soft	ADJ
ejpam-5567	898	18	s	s	NOUN
ejpam-5567	898	19	-	-	ADJ
ejpam-5567	898	20	open	open	ADJ
ejpam-5567	898	21	set	set	NOUN
ejpam-5567	898	22	in	in	ADP
ejpam-5567	898	23	(	(	PUNCT
ejpam-5567	898	24	u1	u1	NOUN
ejpam-5567	898	25	,	,	PUNCT
ejpam-5567	898	26	u2	u2	NOUN
ejpam-5567	898	27	,	,	PUNCT
ejpam-5567	898	28	u3	u3	NOUN
ejpam-5567	898	29	,	,	PUNCT
ejpam-5567	898	30	τ∆	τ∆	NOUN
ejpam-5567	898	31	,	,	PUNCT
ejpam-5567	898	32	e	e	NOUN
ejpam-5567	898	33	)	)	PUNCT
ejpam-5567	898	34	and	and	CCONJ
ejpam-5567	898	35	ge	ge	PROPN
ejpam-5567	898	36	˜̃∈(f	˜̃∈(f	NOUN
ejpam-5567	898	37	,	,	PUNCT
ejpam-5567	898	38	e	e	NOUN
ejpam-5567	898	39	)	)	PUNCT
ejpam-5567	898	40	.	.	PUNCT
ejpam-5567	899	1	then	then	ADV
ejpam-5567	899	2	(	(	PUNCT
ejpam-5567	899	3	f	f	X
ejpam-5567	899	4	,	,	PUNCT
ejpam-5567	899	5	e)c	e)c	X
ejpam-5567	899	6	is	be	AUX
ejpam-5567	899	7	a	a	DET
ejpam-5567	899	8	ternary	ternary	ADJ
ejpam-5567	899	9	soft	soft	ADJ
ejpam-5567	899	10	s	s	NOUN
ejpam-5567	899	11	-	-	PUNCT
ejpam-5567	899	12	closed	closed	ADJ
ejpam-5567	899	13	set	set	NOUN
ejpam-5567	899	14	such	such	ADJ
ejpam-5567	899	15	that	that	SCONJ
ejpam-5567	899	16	ge	ge	PROPN
ejpam-5567	899	17	˜̃	˜̃	NOUN
ejpam-5567	899	18	/∈(f	/∈(f	PUNCT
ejpam-5567	899	19	,	,	PUNCT
ejpam-5567	899	20	e)c	e)c	X
ejpam-5567	899	21	.	.	PUNCT
ejpam-5567	900	1	by	by	ADP
ejpam-5567	900	2	the	the	DET
ejpam-5567	900	3	ternary	ternary	ADJ
ejpam-5567	900	4	soft	soft	ADJ
ejpam-5567	900	5	regularity	regularity	NOUN
ejpam-5567	900	6	of	of	ADP
ejpam-5567	900	7	(	(	PUNCT
ejpam-5567	900	8	u1	u1	NOUN
ejpam-5567	900	9	,	,	PUNCT
ejpam-5567	900	10	u2	u2	NOUN
ejpam-5567	900	11	,	,	PUNCT
ejpam-5567	900	12	u3	u3	NOUN
ejpam-5567	900	13	,	,	PUNCT
ejpam-5567	900	14	τ∆	τ∆	NOUN
ejpam-5567	900	15	,	,	PUNCT
ejpam-5567	900	16	e	e	NOUN
ejpam-5567	900	17	)	)	PUNCT
ejpam-5567	900	18	,	,	PUNCT
ejpam-5567	900	19	there	there	PRON
ejpam-5567	900	20	are	be	VERB
ejpam-5567	900	21	ternary	ternary	ADJ
ejpam-5567	900	22	soft	soft	ADJ
ejpam-5567	900	23	s	s	NOUN
ejpam-5567	900	24	-	-	ADJ
ejpam-5567	900	25	open	open	ADJ
ejpam-5567	900	26	sets	set	NOUN
ejpam-5567	900	27	(	(	PUNCT
ejpam-5567	900	28	f1	f1	NOUN
ejpam-5567	900	29	,	,	PUNCT
ejpam-5567	900	30	e	e	NOUN
ejpam-5567	900	31	)	)	PUNCT
ejpam-5567	900	32	,	,	PUNCT
ejpam-5567	900	33	(	(	PUNCT
ejpam-5567	900	34	f2	f2	X
ejpam-5567	900	35	,	,	PUNCT
ejpam-5567	900	36	e	e	NOUN
ejpam-5567	900	37	)	)	PUNCT
ejpam-5567	900	38	such	such	ADJ
ejpam-5567	900	39	that	that	SCONJ
ejpam-5567	900	40	ge	ge	PROPN
ejpam-5567	900	41	˜̃	˜̃	PROPN
ejpam-5567	900	42	/∈(f1	/∈(f1	PUNCT
ejpam-5567	900	43	,	,	PUNCT
ejpam-5567	900	44	e	e	NOUN
ejpam-5567	900	45	)	)	PUNCT
ejpam-5567	900	46	,	,	PUNCT
ejpam-5567	900	47	(	(	PUNCT
ejpam-5567	900	48	f	f	X
ejpam-5567	900	49	,	,	PUNCT
ejpam-5567	900	50	e)c	e)c	X
ejpam-5567	900	51	˜̃⊆(f2	˜̃⊆(f2	NOUN
ejpam-5567	900	52	,	,	PUNCT
ejpam-5567	900	53	e	e	NOUN
ejpam-5567	900	54	)	)	PUNCT
ejpam-5567	900	55	and	and	CCONJ
ejpam-5567	900	56	(	(	PUNCT
ejpam-5567	900	57	f1	f1	NOUN
ejpam-5567	900	58	,	,	PUNCT
ejpam-5567	900	59	e)˜̃∩(f2	e)˜̃∩(f2	NOUN
ejpam-5567	900	60	,	,	PUNCT
ejpam-5567	900	61	e	e	NOUN
ejpam-5567	900	62	)	)	PUNCT
ejpam-5567	900	63	=	=	SYM
ejpam-5567	900	64	˜̃∅.	˜̃∅.	PROPN
ejpam-5567	900	65	clearly	clearly	ADV
ejpam-5567	900	66	,	,	PUNCT
ejpam-5567	900	67	(	(	PUNCT
ejpam-5567	900	68	f2	f2	PROPN
ejpam-5567	900	69	,	,	PUNCT
ejpam-5567	900	70	e)c	e)c	X
ejpam-5567	900	71	is	be	AUX
ejpam-5567	900	72	a	a	DET
ejpam-5567	900	73	ternary	ternary	ADJ
ejpam-5567	900	74	soft	soft	ADJ
ejpam-5567	900	75	set	set	NOUN
ejpam-5567	900	76	contained	contain	VERB
ejpam-5567	900	77	in	in	ADP
ejpam-5567	900	78	(	(	PUNCT
ejpam-5567	900	79	f	f	X
ejpam-5567	900	80	,	,	PUNCT
ejpam-5567	900	81	e	e	NOUN
ejpam-5567	900	82	)	)	PUNCT
ejpam-5567	900	83	.	.	PUNCT
ejpam-5567	901	1	thus	thus	ADV
ejpam-5567	901	2	,	,	PUNCT
ejpam-5567	901	3	(	(	PUNCT
ejpam-5567	901	4	f1	f1	NOUN
ejpam-5567	901	5	,	,	PUNCT
ejpam-5567	901	6	e	e	NOUN
ejpam-5567	901	7	)	)	PUNCT
ejpam-5567	901	8	˜̃⊆(f2	˜̃⊆(f2	NOUN
ejpam-5567	901	9	,	,	PUNCT
ejpam-5567	901	10	e)c	e)c	X
ejpam-5567	901	11	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	901	12	,	,	PUNCT
ejpam-5567	901	13	e	e	NOUN
ejpam-5567	901	14	)	)	PUNCT
ejpam-5567	901	15	.	.	PUNCT
ejpam-5567	902	1	this	this	PRON
ejpam-5567	902	2	gives	give	VERB
ejpam-5567	902	3	(	(	PUNCT
ejpam-5567	902	4	f1	f1	NOUN
ejpam-5567	902	5	,	,	PUNCT
ejpam-5567	902	6	e	e	NOUN
ejpam-5567	902	7	)	)	PUNCT
ejpam-5567	902	8	˜̃⊆(f2	˜̃⊆(f2	NOUN
ejpam-5567	902	9	,	,	PUNCT
ejpam-5567	902	10	e)c	e)c	X
ejpam-5567	902	11	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	902	12	,	,	PUNCT
ejpam-5567	902	13	e	e	NOUN
ejpam-5567	902	14	)	)	PUNCT
ejpam-5567	902	15	,	,	PUNCT
ejpam-5567	902	16	and	and	CCONJ
ejpam-5567	902	17	we	we	PRON
ejpam-5567	902	18	set	set	VERB
ejpam-5567	902	19	(	(	PUNCT
ejpam-5567	902	20	f1	f1	NOUN
ejpam-5567	902	21	,	,	PUNCT
ejpam-5567	902	22	e	e	NOUN
ejpam-5567	902	23	)	)	PUNCT
ejpam-5567	902	24	=	=	SYM
ejpam-5567	902	25	(	(	PUNCT
ejpam-5567	902	26	g	g	NOUN
ejpam-5567	902	27	,	,	PUNCT
ejpam-5567	902	28	e	e	NOUN
ejpam-5567	902	29	)	)	PUNCT
ejpam-5567	902	30	.	.	PUNCT
ejpam-5567	903	1	consequently	consequently	ADV
ejpam-5567	903	2	,	,	PUNCT
ejpam-5567	903	3	ge	ge	PROPN
ejpam-5567	903	4	˜̃∈(g	˜̃∈(g	X
ejpam-5567	903	5	,	,	PUNCT
ejpam-5567	903	6	e	e	NOUN
ejpam-5567	903	7	)	)	PUNCT
ejpam-5567	903	8	and	and	CCONJ
ejpam-5567	903	9	(	(	PUNCT
ejpam-5567	903	10	g	g	NOUN
ejpam-5567	903	11	,	,	PUNCT
ejpam-5567	903	12	e	e	NOUN
ejpam-5567	903	13	)	)	PUNCT
ejpam-5567	903	14	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	903	15	,	,	PUNCT
ejpam-5567	903	16	e	e	NOUN
ejpam-5567	903	17	)	)	PUNCT
ejpam-5567	903	18	.	.	PUNCT
ejpam-5567	904	1	this	this	PRON
ejpam-5567	904	2	proves	prove	VERB
ejpam-5567	904	3	(	(	PUNCT
ejpam-5567	904	4	ii	ii	NOUN
ejpam-5567	904	5	)	)	PUNCT
ejpam-5567	904	6	.	.	PUNCT
ejpam-5567	905	1	(	(	PUNCT
ejpam-5567	905	2	ii	ii	NOUN
ejpam-5567	905	3	)	)	PUNCT
ejpam-5567	905	4	⇒	⇒	NOUN
ejpam-5567	905	5	(	(	PUNCT
ejpam-5567	905	6	iii	iii	NOUN
ejpam-5567	905	7	):	):	PUNCT
ejpam-5567	905	8	let	let	VERB
ejpam-5567	905	9	ge	ge	PROPN
ejpam-5567	905	10	˜̃∈	˜̃∈	PROPN
ejpam-5567	905	11	˜̃	˜̃	NOUN
ejpam-5567	905	12	x.	x.	NOUN
ejpam-5567	905	13	for	for	ADP
ejpam-5567	905	14	the	the	DET
ejpam-5567	905	15	ternary	ternary	ADJ
ejpam-5567	905	16	soft	soft	ADJ
ejpam-5567	905	17	s	s	NOUN
ejpam-5567	905	18	-	-	ADJ
ejpam-5567	905	19	open	open	ADJ
ejpam-5567	905	20	set	set	NOUN
ejpam-5567	905	21	(	(	PUNCT
ejpam-5567	905	22	f	f	X
ejpam-5567	905	23	,	,	PUNCT
ejpam-5567	905	24	e	e	NOUN
ejpam-5567	905	25	)	)	PUNCT
ejpam-5567	905	26	in	in	ADP
ejpam-5567	905	27	(	(	PUNCT
ejpam-5567	905	28	u1	u1	NOUN
ejpam-5567	905	29	,	,	PUNCT
ejpam-5567	905	30	u2	u2	NOUN
ejpam-5567	905	31	,	,	PUNCT
ejpam-5567	905	32	u3	u3	NOUN
ejpam-5567	905	33	,	,	PUNCT
ejpam-5567	905	34	τ∆	τ∆	NOUN
ejpam-5567	905	35	,	,	PUNCT
ejpam-5567	905	36	e	e	NOUN
ejpam-5567	905	37	)	)	PUNCT
ejpam-5567	905	38	,	,	PUNCT
ejpam-5567	905	39	there	there	PRON
ejpam-5567	905	40	is	be	VERB
ejpam-5567	905	41	a	a	DET
ejpam-5567	905	42	ternary	ternary	ADJ
ejpam-5567	905	43	soft	soft	ADJ
ejpam-5567	905	44	s	s	NOUN
ejpam-5567	905	45	-	-	ADJ
ejpam-5567	905	46	open	open	ADJ
ejpam-5567	905	47	set	set	NOUN
ejpam-5567	905	48	(	(	PUNCT
ejpam-5567	905	49	g	g	NOUN
ejpam-5567	905	50	,	,	PUNCT
ejpam-5567	905	51	e	e	NOUN
ejpam-5567	905	52	)	)	PUNCT
ejpam-5567	905	53	containing	contain	VERB
ejpam-5567	905	54	ge	ge	PROPN
ejpam-5567	905	55	such	such	ADJ
ejpam-5567	905	56	that	that	SCONJ
ejpam-5567	905	57	ge	ge	PROPN
ejpam-5567	905	58	˜̃∈(g	˜̃∈(g	PROPN
ejpam-5567	905	59	,	,	PUNCT
ejpam-5567	905	60	e	e	NOUN
ejpam-5567	905	61	)	)	PUNCT
ejpam-5567	905	62	,	,	PUNCT
ejpam-5567	905	63	(	(	PUNCT
ejpam-5567	905	64	g	g	NOUN
ejpam-5567	905	65	,	,	PUNCT
ejpam-5567	905	66	e	e	NOUN
ejpam-5567	905	67	)	)	PUNCT
ejpam-5567	905	68	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	905	69	,	,	PUNCT
ejpam-5567	905	70	e	e	NOUN
ejpam-5567	905	71	)	)	PUNCT
ejpam-5567	905	72	.	.	PUNCT
ejpam-5567	906	1	thus	thus	ADV
ejpam-5567	906	2	,	,	PUNCT
ejpam-5567	906	3	for	for	ADP
ejpam-5567	906	4	each	each	DET
ejpam-5567	906	5	ge	ge	PROPN
ejpam-5567	906	6	˜̃∈	˜̃∈	PROPN
ejpam-5567	906	7	˜̃	˜̃	NOUN
ejpam-5567	906	8	x	x	PROPN
ejpam-5567	906	9	,	,	PUNCT
ejpam-5567	906	10	the	the	DET
ejpam-5567	906	11	sets	set	NOUN
ejpam-5567	906	12	(	(	PUNCT
ejpam-5567	906	13	g	g	NOUN
ejpam-5567	906	14	,	,	PUNCT
ejpam-5567	906	15	e	e	NOUN
ejpam-5567	906	16	)	)	PUNCT
ejpam-5567	906	17	form	form	VERB
ejpam-5567	906	18	a	a	DET
ejpam-5567	906	19	ternary	ternary	ADJ
ejpam-5567	906	20	soft	soft	ADJ
ejpam-5567	906	21	neighborhood	neighborhood	NOUN
ejpam-5567	906	22	base	base	NOUN
ejpam-5567	906	23	consisting	consist	VERB
ejpam-5567	906	24	of	of	ADP
ejpam-5567	906	25	ternary	ternary	ADJ
ejpam-5567	906	26	soft	soft	ADJ
ejpam-5567	906	27	s	s	NOUN
ejpam-5567	906	28	-	-	PUNCT
ejpam-5567	906	29	closed	closed	ADJ
ejpam-5567	906	30	sets	set	NOUN
ejpam-5567	906	31	of	of	ADP
ejpam-5567	906	32	(	(	PUNCT
ejpam-5567	906	33	u1	u1	NOUN
ejpam-5567	906	34	,	,	PUNCT
ejpam-5567	906	35	u2	u2	NOUN
ejpam-5567	906	36	,	,	PUNCT
ejpam-5567	906	37	u3	u3	NOUN
ejpam-5567	906	38	,	,	PUNCT
ejpam-5567	906	39	τ∆	τ∆	NOUN
ejpam-5567	906	40	,	,	PUNCT
ejpam-5567	906	41	e	e	NOUN
ejpam-5567	906	42	)	)	PUNCT
ejpam-5567	906	43	,	,	PUNCT
ejpam-5567	906	44	which	which	PRON
ejpam-5567	906	45	proves	prove	VERB
ejpam-5567	906	46	(	(	PUNCT
ejpam-5567	906	47	iii	iii	NOUN
ejpam-5567	906	48	)	)	PUNCT
ejpam-5567	906	49	.	.	PUNCT
ejpam-5567	907	1	(	(	PUNCT
ejpam-5567	907	2	iii	iii	X
ejpam-5567	907	3	)	)	PUNCT
ejpam-5567	907	4	⇒	⇒	NOUN
ejpam-5567	907	5	(	(	PUNCT
ejpam-5567	907	6	i	i	NOUN
ejpam-5567	907	7	):	):	PUNCT
ejpam-5567	907	8	let	let	VERB
ejpam-5567	907	9	(	(	PUNCT
ejpam-5567	907	10	f	f	X
ejpam-5567	907	11	,	,	PUNCT
ejpam-5567	907	12	e	e	NOUN
ejpam-5567	907	13	)	)	PUNCT
ejpam-5567	907	14	be	be	AUX
ejpam-5567	907	15	a	a	DET
ejpam-5567	907	16	ternary	ternary	ADJ
ejpam-5567	907	17	soft	soft	ADJ
ejpam-5567	907	18	s	s	NOUN
ejpam-5567	907	19	-	-	PUNCT
ejpam-5567	907	20	closed	closed	ADJ
ejpam-5567	907	21	set	set	NOUN
ejpam-5567	907	22	such	such	ADJ
ejpam-5567	907	23	that	that	SCONJ
ejpam-5567	907	24	ge	ge	PROPN
ejpam-5567	907	25	˜̃	˜̃	VERB
ejpam-5567	907	26	/∈(f	/∈(f	PUNCT
ejpam-5567	907	27	,	,	PUNCT
ejpam-5567	907	28	e	e	NOUN
ejpam-5567	907	29	)	)	PUNCT
ejpam-5567	907	30	.	.	PUNCT
ejpam-5567	908	1	then	then	ADV
ejpam-5567	908	2	(	(	PUNCT
ejpam-5567	908	3	f	f	X
ejpam-5567	908	4	,	,	PUNCT
ejpam-5567	908	5	e)c	e)c	X
ejpam-5567	908	6	is	be	AUX
ejpam-5567	908	7	a	a	DET
ejpam-5567	908	8	ternary	ternary	ADJ
ejpam-5567	908	9	soft	soft	ADJ
ejpam-5567	908	10	open	open	ADJ
ejpam-5567	908	11	neighborhood	neighborhood	NOUN
ejpam-5567	908	12	of	of	ADP
ejpam-5567	908	13	ge	ge	PROPN
ejpam-5567	908	14	.	.	PUNCT
ejpam-5567	909	1	by	by	ADP
ejpam-5567	909	2	(	(	PUNCT
ejpam-5567	909	3	iii	iii	NOUN
ejpam-5567	909	4	)	)	PUNCT
ejpam-5567	909	5	,	,	PUNCT
ejpam-5567	909	6	there	there	PRON
ejpam-5567	909	7	is	be	VERB
ejpam-5567	909	8	a	a	DET
ejpam-5567	909	9	ternary	ternary	ADJ
ejpam-5567	909	10	soft	soft	ADJ
ejpam-5567	909	11	s	s	NOUN
ejpam-5567	909	12	-	-	PUNCT
ejpam-5567	909	13	closed	closed	ADJ
ejpam-5567	909	14	set	set	NOUN
ejpam-5567	909	15	(	(	PUNCT
ejpam-5567	909	16	f1	f1	NOUN
ejpam-5567	909	17	,	,	PUNCT
ejpam-5567	909	18	e	e	NOUN
ejpam-5567	909	19	)	)	PUNCT
ejpam-5567	909	20	which	which	PRON
ejpam-5567	909	21	contains	contain	VERB
ejpam-5567	909	22	ge	ge	PROPN
ejpam-5567	909	23	and	and	CCONJ
ejpam-5567	909	24	is	be	AUX
ejpam-5567	909	25	a	a	DET
ejpam-5567	909	26	ternary	ternary	ADJ
ejpam-5567	909	27	soft	soft	ADJ
ejpam-5567	909	28	neighborhood	neighborhood	NOUN
ejpam-5567	909	29	of	of	ADP
ejpam-5567	909	30	ge	ge	PROPN
ejpam-5567	909	31	with	with	ADP
ejpam-5567	909	32	(	(	PUNCT
ejpam-5567	909	33	f1	f1	NOUN
ejpam-5567	909	34	,	,	PUNCT
ejpam-5567	909	35	e	e	NOUN
ejpam-5567	909	36	)	)	PUNCT
ejpam-5567	909	37	˜̃⊆(f1	˜̃⊆(f1	NOUN
ejpam-5567	909	38	,	,	PUNCT
ejpam-5567	909	39	e)c	e)c	NOUN
ejpam-5567	909	40	.	.	PUNCT
ejpam-5567	910	1	then	then	ADV
ejpam-5567	910	2	ge	ge	PROPN
ejpam-5567	910	3	˜̃	˜̃	VERB
ejpam-5567	910	4	/∈(f	/∈(f	PUNCT
ejpam-5567	910	5	,	,	PUNCT
ejpam-5567	910	6	e)c	e)c	X
ejpam-5567	910	7	,	,	PUNCT
ejpam-5567	910	8	(	(	PUNCT
ejpam-5567	910	9	f	f	X
ejpam-5567	910	10	,	,	PUNCT
ejpam-5567	910	11	e	e	NOUN
ejpam-5567	910	12	)	)	PUNCT
ejpam-5567	910	13	˜̃⊆(f1	˜̃⊆(f1	ADP
ejpam-5567	910	14	,	,	PUNCT
ejpam-5567	910	15	e)c	e)c	X
ejpam-5567	910	16	=	=	SYM
ejpam-5567	910	17	(	(	PUNCT
ejpam-5567	910	18	f2	f2	PROPN
ejpam-5567	910	19	,	,	PUNCT
ejpam-5567	910	20	e	e	NOUN
ejpam-5567	910	21	)	)	PUNCT
ejpam-5567	910	22	,	,	PUNCT
ejpam-5567	910	23	and	and	CCONJ
ejpam-5567	910	24	(	(	PUNCT
ejpam-5567	910	25	f1	f1	NOUN
ejpam-5567	910	26	,	,	PUNCT
ejpam-5567	910	27	e)˜̃∩(f2	e)˜̃∩(f2	NOUN
ejpam-5567	910	28	,	,	PUNCT
ejpam-5567	910	29	e	e	X
ejpam-5567	910	30	)	)	PUNCT
ejpam-5567	911	1	=	=	NOUN
ejpam-5567	911	2	˜̃∅.	˜̃∅.	PROPN
ejpam-5567	911	3	therefore	therefore	ADV
ejpam-5567	911	4	,	,	PUNCT
ejpam-5567	911	5	(	(	PUNCT
ejpam-5567	911	6	u1	u1	NOUN
ejpam-5567	911	7	,	,	PUNCT
ejpam-5567	911	8	u2	u2	NOUN
ejpam-5567	911	9	,	,	PUNCT
ejpam-5567	911	10	u3	u3	NOUN
ejpam-5567	911	11	,	,	PUNCT
ejpam-5567	911	12	τ∆	τ∆	NOUN
ejpam-5567	911	13	,	,	PUNCT
ejpam-5567	911	14	e	e	X
ejpam-5567	911	15	)	)	PUNCT
ejpam-5567	911	16	is	be	AUX
ejpam-5567	911	17	ternary	ternary	ADJ
ejpam-5567	911	18	soft	soft	ADJ
ejpam-5567	911	19	s	s	NOUN
ejpam-5567	911	20	-	-	NOUN
ejpam-5567	911	21	regular	regular	ADJ
ejpam-5567	911	22	.	.	PUNCT
ejpam-5567	912	1	proposition	proposition	NOUN
ejpam-5567	912	2	20	20	NUM
ejpam-5567	912	3	.	.	PUNCT
ejpam-5567	913	1	let	let	AUX
ejpam-5567	913	2	(	(	PUNCT
ejpam-5567	913	3	u1	u1	NOUN
ejpam-5567	913	4	,	,	PUNCT
ejpam-5567	913	5	u2	u2	NOUN
ejpam-5567	913	6	,	,	PUNCT
ejpam-5567	913	7	u3	u3	NOUN
ejpam-5567	913	8	,	,	PUNCT
ejpam-5567	913	9	τ∆	τ∆	NOUN
ejpam-5567	913	10	,	,	PUNCT
ejpam-5567	913	11	e	e	X
ejpam-5567	913	12	)	)	PUNCT
ejpam-5567	913	13	be	be	AUX
ejpam-5567	913	14	a	a	DET
ejpam-5567	913	15	ternary	ternary	ADJ
ejpam-5567	913	16	soft	soft	ADJ
ejpam-5567	913	17	s	s	NOUN
ejpam-5567	913	18	-	-	ADJ
ejpam-5567	913	19	regular	regular	ADJ
ejpam-5567	913	20	space	space	NOUN
ejpam-5567	913	21	on	on	ADP
ejpam-5567	913	22	˜̃	˜̃	NOUN
ejpam-5567	913	23	x	x	SYM
ejpam-5567	913	24	over	over	ADP
ejpam-5567	913	25	(	(	PUNCT
ejpam-5567	913	26	u1	u1	NOUN
ejpam-5567	913	27	×	×	PROPN
ejpam-5567	913	28	u2	u2	PROPN
ejpam-5567	913	29	×	×	PROPN
ejpam-5567	913	30	u3	u3	PROPN
ejpam-5567	913	31	)	)	PUNCT
ejpam-5567	913	32	.	.	PUNCT
ejpam-5567	914	1	then	then	ADV
ejpam-5567	914	2	every	every	DET
ejpam-5567	914	3	ternary	ternary	ADJ
ejpam-5567	914	4	soft	soft	ADJ
ejpam-5567	914	5	subspace	subspace	NOUN
ejpam-5567	914	6	of	of	ADP
ejpam-5567	914	7	(	(	PUNCT
ejpam-5567	914	8	u1	u1	PROPN
ejpam-5567	914	9	,	,	PUNCT
ejpam-5567	914	10	u2	u2	NOUN
ejpam-5567	914	11	,	,	PUNCT
ejpam-5567	914	12	u3	u3	NOUN
ejpam-5567	914	13	,	,	PUNCT
ejpam-5567	914	14	τ∆	τ∆	NOUN
ejpam-5567	914	15	,	,	PUNCT
ejpam-5567	914	16	e	e	X
ejpam-5567	914	17	)	)	PUNCT
ejpam-5567	914	18	is	be	AUX
ejpam-5567	914	19	ternary	ternary	ADJ
ejpam-5567	914	20	soft	soft	ADJ
ejpam-5567	914	21	s	s	NOUN
ejpam-5567	914	22	-	-	NOUN
ejpam-5567	914	23	regular	regular	ADJ
ejpam-5567	914	24	.	.	PUNCT
ejpam-5567	915	1	proof	proof	NOUN
ejpam-5567	915	2	.	.	PUNCT
ejpam-5567	916	1	let	let	VERB
ejpam-5567	916	2	(	(	PUNCT
ejpam-5567	916	3	u1	u1	NOUN
ejpam-5567	916	4	,	,	PUNCT
ejpam-5567	916	5	u2	u2	NOUN
ejpam-5567	916	6	,	,	PUNCT
ejpam-5567	916	7	u3	u3	NOUN
ejpam-5567	916	8	,	,	PUNCT
ejpam-5567	916	9	τ∆	τ∆	NOUN
ejpam-5567	916	10	,	,	PUNCT
ejpam-5567	916	11	e	e	X
ejpam-5567	916	12	)	)	PUNCT
ejpam-5567	916	13	be	be	AUX
ejpam-5567	916	14	a	a	DET
ejpam-5567	916	15	ternary	ternary	ADJ
ejpam-5567	916	16	soft	soft	ADJ
ejpam-5567	916	17	subspace	subspace	NOUN
ejpam-5567	916	18	of	of	ADP
ejpam-5567	916	19	a	a	DET
ejpam-5567	916	20	ternary	ternary	ADJ
ejpam-5567	916	21	soft	soft	ADJ
ejpam-5567	916	22	s	s	NOUN
ejpam-5567	916	23	-	-	ADJ
ejpam-5567	916	24	regular	regular	ADJ
ejpam-5567	916	25	space	space	NOUN
ejpam-5567	916	26	(	(	PUNCT
ejpam-5567	916	27	u1	u1	NOUN
ejpam-5567	916	28	,	,	PUNCT
ejpam-5567	916	29	u2	u2	NOUN
ejpam-5567	916	30	,	,	PUNCT
ejpam-5567	916	31	u3	u3	NOUN
ejpam-5567	916	32	,	,	PUNCT
ejpam-5567	916	33	τ∆	τ∆	NOUN
ejpam-5567	916	34	,	,	PUNCT
ejpam-5567	916	35	e	e	NOUN
ejpam-5567	916	36	)	)	PUNCT
ejpam-5567	916	37	.	.	PUNCT
ejpam-5567	917	1	suppose	suppose	VERB
ejpam-5567	917	2	(	(	PUNCT
ejpam-5567	917	3	f	f	X
ejpam-5567	917	4	,	,	PUNCT
ejpam-5567	917	5	e	e	NOUN
ejpam-5567	917	6	)	)	PUNCT
ejpam-5567	917	7	is	be	AUX
ejpam-5567	917	8	a	a	DET
ejpam-5567	917	9	ternary	ternary	ADJ
ejpam-5567	917	10	soft	soft	ADJ
ejpam-5567	917	11	s	s	NOUN
ejpam-5567	917	12	-	-	PUNCT
ejpam-5567	917	13	closed	closed	ADJ
ejpam-5567	917	14	set	set	NOUN
ejpam-5567	917	15	in	in	ADP
ejpam-5567	917	16	(	(	PUNCT
ejpam-5567	917	17	u1	u1	NOUN
ejpam-5567	917	18	,	,	PUNCT
ejpam-5567	917	19	u2	u2	NOUN
ejpam-5567	917	20	,	,	PUNCT
ejpam-5567	917	21	u3	u3	NOUN
ejpam-5567	917	22	,	,	PUNCT
ejpam-5567	917	23	τ∆	τ∆	NOUN
ejpam-5567	917	24	,	,	PUNCT
ejpam-5567	917	25	e	e	NOUN
ejpam-5567	917	26	)	)	PUNCT
ejpam-5567	917	27	and	and	CCONJ
ejpam-5567	917	28	fe	fe	X
ejpam-5567	917	29	˜̃∈	˜̃∈	PROPN
ejpam-5567	917	30	˜̃	˜̃	NOUN
ejpam-5567	917	31	y	y	PROPN
ejpam-5567	917	32	.	.	PUNCT
ejpam-5567	918	1	then	then	ADV
ejpam-5567	918	2	(	(	PUNCT
ejpam-5567	918	3	f	f	X
ejpam-5567	918	4	,	,	PUNCT
ejpam-5567	918	5	e	e	NOUN
ejpam-5567	918	6	)	)	PUNCT
ejpam-5567	918	7	=	=	SYM
ejpam-5567	918	8	(	(	PUNCT
ejpam-5567	918	9	g	g	PROPN
ejpam-5567	918	10	,	,	PUNCT
ejpam-5567	918	11	e)˜̃∩	e)˜̃∩	PART
ejpam-5567	918	12	˜̃	˜̃	NOUN
ejpam-5567	918	13	y	y	PROPN
ejpam-5567	918	14	,	,	PUNCT
ejpam-5567	918	15	where	where	SCONJ
ejpam-5567	918	16	(	(	PUNCT
ejpam-5567	918	17	g	g	NOUN
ejpam-5567	918	18	,	,	PUNCT
ejpam-5567	918	19	e	e	NOUN
ejpam-5567	918	20	)	)	PUNCT
ejpam-5567	918	21	is	be	AUX
ejpam-5567	918	22	a	a	DET
ejpam-5567	918	23	ternary	ternary	ADJ
ejpam-5567	918	24	soft	soft	ADJ
ejpam-5567	918	25	s	s	NOUN
ejpam-5567	918	26	-	-	PUNCT
ejpam-5567	918	27	closed	closed	ADJ
ejpam-5567	918	28	set	set	NOUN
ejpam-5567	918	29	in	in	ADP
ejpam-5567	918	30	(	(	PUNCT
ejpam-5567	918	31	u1	u1	NOUN
ejpam-5567	918	32	,	,	PUNCT
ejpam-5567	918	33	u2	u2	NOUN
ejpam-5567	918	34	,	,	PUNCT
ejpam-5567	918	35	u3	u3	NOUN
ejpam-5567	918	36	,	,	PUNCT
ejpam-5567	918	37	τ∆	τ∆	NOUN
ejpam-5567	918	38	,	,	PUNCT
ejpam-5567	918	39	e	e	NOUN
ejpam-5567	918	40	)	)	PUNCT
ejpam-5567	918	41	.	.	PUNCT
ejpam-5567	919	1	then	then	ADV
ejpam-5567	919	2	fe	fe	X
ejpam-5567	919	3	˜̃	˜̃	NOUN
ejpam-5567	919	4	/∈(f	/∈(f	PUNCT
ejpam-5567	919	5	,	,	PUNCT
ejpam-5567	919	6	e	e	NOUN
ejpam-5567	919	7	)	)	PUNCT
ejpam-5567	919	8	since	since	SCONJ
ejpam-5567	919	9	(	(	PUNCT
ejpam-5567	919	10	u1	u1	NOUN
ejpam-5567	919	11	,	,	PUNCT
ejpam-5567	919	12	u2	u2	NOUN
ejpam-5567	919	13	,	,	PUNCT
ejpam-5567	919	14	u3	u3	NOUN
ejpam-5567	919	15	,	,	PUNCT
ejpam-5567	919	16	τ∆	τ∆	NOUN
ejpam-5567	919	17	,	,	PUNCT
ejpam-5567	919	18	e	e	NOUN
ejpam-5567	919	19	)	)	PUNCT
ejpam-5567	919	20	is	be	AUX
ejpam-5567	919	21	a	a	DET
ejpam-5567	919	22	ternary	ternary	ADJ
ejpam-5567	919	23	soft	soft	ADJ
ejpam-5567	919	24	subspace	subspace	NOUN
ejpam-5567	919	25	of	of	ADP
ejpam-5567	919	26	a	a	DET
ejpam-5567	919	27	ternary	ternary	ADJ
ejpam-5567	919	28	soft	soft	ADJ
ejpam-5567	919	29	s	s	NOUN
ejpam-5567	919	30	-	-	ADJ
ejpam-5567	919	31	regular	regular	ADJ
ejpam-5567	919	32	space	space	NOUN
ejpam-5567	919	33	.	.	PUNCT
ejpam-5567	920	1	there	there	PRON
ejpam-5567	920	2	exist	exist	VERB
ejpam-5567	920	3	soft	soft	ADJ
ejpam-5567	920	4	disjoint	disjoint	NOUN
ejpam-5567	920	5	ternary	ternary	NOUN
ejpam-5567	920	6	s	s	NOUN
ejpam-5567	920	7	-	-	ADJ
ejpam-5567	920	8	open	open	ADJ
ejpam-5567	920	9	sets	set	NOUN
ejpam-5567	920	10	(	(	PUNCT
ejpam-5567	920	11	f1	f1	NOUN
ejpam-5567	920	12	,	,	PUNCT
ejpam-5567	920	13	e	e	NOUN
ejpam-5567	920	14	)	)	PUNCT
ejpam-5567	920	15	,	,	PUNCT
ejpam-5567	920	16	(	(	PUNCT
ejpam-5567	920	17	f2	f2	X
ejpam-5567	920	18	,	,	PUNCT
ejpam-5567	920	19	e	e	NOUN
ejpam-5567	920	20	)	)	PUNCT
ejpam-5567	920	21	in	in	ADP
ejpam-5567	920	22	(	(	PUNCT
ejpam-5567	920	23	u1	u1	NOUN
ejpam-5567	920	24	,	,	PUNCT
ejpam-5567	920	25	u2	u2	NOUN
ejpam-5567	920	26	,	,	PUNCT
ejpam-5567	920	27	u3	u3	NOUN
ejpam-5567	920	28	,	,	PUNCT
ejpam-5567	920	29	τ∆	τ∆	NOUN
ejpam-5567	920	30	,	,	PUNCT
ejpam-5567	920	31	e	e	NOUN
ejpam-5567	920	32	)	)	PUNCT
ejpam-5567	920	33	.	.	PUNCT
ejpam-5567	921	1	then	then	ADV
ejpam-5567	921	2	fe	fe	X
ejpam-5567	921	3	˜̃	˜̃	NOUN
ejpam-5567	921	4	/∈(g	/∈(g	NOUN
ejpam-5567	921	5	,	,	PUNCT
ejpam-5567	921	6	e	e	NOUN
ejpam-5567	921	7	)	)	PUNCT
ejpam-5567	921	8	.	.	PUNCT
ejpam-5567	922	1	since	since	SCONJ
ejpam-5567	922	2	(	(	PUNCT
ejpam-5567	922	3	u1	u1	PROPN
ejpam-5567	922	4	,	,	PUNCT
ejpam-5567	922	5	u2	u2	NOUN
ejpam-5567	922	6	,	,	PUNCT
ejpam-5567	922	7	u3	u3	NOUN
ejpam-5567	922	8	,	,	PUNCT
ejpam-5567	922	9	τ∆	τ∆	NOUN
ejpam-5567	922	10	,	,	PUNCT
ejpam-5567	922	11	e	e	X
ejpam-5567	922	12	)	)	PUNCT
ejpam-5567	922	13	is	be	AUX
ejpam-5567	922	14	ternary	ternary	ADJ
ejpam-5567	922	15	soft	soft	ADJ
ejpam-5567	922	16	s	s	NOUN
ejpam-5567	922	17	-	-	NOUN
ejpam-5567	922	18	regular	regular	ADJ
ejpam-5567	922	19	,	,	PUNCT
ejpam-5567	922	20	there	there	PRON
ejpam-5567	922	21	exist	exist	VERB
ejpam-5567	922	22	ternary	ternary	ADJ
ejpam-5567	922	23	soft	soft	ADJ
ejpam-5567	922	24	disjoint	disjoint	NOUN
ejpam-5567	922	25	ternary	ternary	NOUN
ejpam-5567	922	26	s	s	NOUN
ejpam-5567	922	27	-	-	ADJ
ejpam-5567	922	28	open	open	ADJ
ejpam-5567	922	29	sets	set	NOUN
ejpam-5567	922	30	(	(	PUNCT
ejpam-5567	922	31	f1	f1	NOUN
ejpam-5567	922	32	,	,	PUNCT
ejpam-5567	922	33	e	e	NOUN
ejpam-5567	922	34	)	)	PUNCT
ejpam-5567	922	35	,	,	PUNCT
ejpam-5567	922	36	(	(	PUNCT
ejpam-5567	922	37	f2	f2	X
ejpam-5567	922	38	,	,	PUNCT
ejpam-5567	922	39	e	e	NOUN
ejpam-5567	922	40	)	)	PUNCT
ejpam-5567	922	41	in	in	ADP
ejpam-5567	922	42	(	(	PUNCT
ejpam-5567	922	43	u1	u1	NOUN
ejpam-5567	922	44	,	,	PUNCT
ejpam-5567	922	45	u2	u2	NOUN
ejpam-5567	922	46	,	,	PUNCT
ejpam-5567	922	47	u3	u3	NOUN
ejpam-5567	922	48	,	,	PUNCT
ejpam-5567	922	49	τ∆	τ∆	NOUN
ejpam-5567	922	50	,	,	PUNCT
ejpam-5567	922	51	e	e	NOUN
ejpam-5567	922	52	)	)	PUNCT
ejpam-5567	922	53	such	such	ADJ
ejpam-5567	922	54	that	that	DET
ejpam-5567	922	55	fe	fe	X
ejpam-5567	922	56	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	922	57	,	,	PUNCT
ejpam-5567	922	58	e	e	NOUN
ejpam-5567	922	59	)	)	PUNCT
ejpam-5567	922	60	and	and	CCONJ
ejpam-5567	922	61	(	(	PUNCT
ejpam-5567	922	62	g	g	NOUN
ejpam-5567	922	63	,	,	PUNCT
ejpam-5567	922	64	e)˜̃∈(f2	e)˜̃∈(f2	NOUN
ejpam-5567	922	65	,	,	PUNCT
ejpam-5567	922	66	e	e	NOUN
ejpam-5567	922	67	)	)	PUNCT
ejpam-5567	922	68	.	.	PUNCT
ejpam-5567	923	1	clearly	clearly	ADV
ejpam-5567	923	2	,	,	PUNCT
ejpam-5567	923	3	fe	fe	X
ejpam-5567	923	4	˜̃∈(f1	˜̃∈(f1	NOUN
ejpam-5567	923	5	,	,	PUNCT
ejpam-5567	923	6	e)˜̃∩	e)˜̃∩	PART
ejpam-5567	923	7	˜̃	˜̃	NOUN
ejpam-5567	923	8	y	y	PROPN
ejpam-5567	923	9	=	=	PROPN
ejpam-5567	923	10	y	y	PROPN
ejpam-5567	923	11	(	(	PUNCT
ejpam-5567	923	12	f2	f2	PROPN
ejpam-5567	923	13	,	,	PUNCT
ejpam-5567	923	14	e	e	NOUN
ejpam-5567	923	15	)	)	PUNCT
ejpam-5567	923	16	and	and	CCONJ
ejpam-5567	923	17	(	(	PUNCT
ejpam-5567	923	18	f	f	X
ejpam-5567	923	19	,	,	PUNCT
ejpam-5567	923	20	e	e	NOUN
ejpam-5567	923	21	)	)	PUNCT
ejpam-5567	923	22	˜̃⊆(f2	˜̃⊆(f2	NOUN
ejpam-5567	923	23	,	,	PUNCT
ejpam-5567	923	24	e)˜̃∩	e)˜̃∩	ADV
ejpam-5567	923	25	˜̃	˜̃	NOUN
ejpam-5567	923	26	y	y	PROPN
ejpam-5567	923	27	=	=	PROPN
ejpam-5567	923	28	y	y	PROPN
ejpam-5567	923	29	(	(	PUNCT
ejpam-5567	923	30	f2	f2	PROPN
ejpam-5567	923	31	,	,	PUNCT
ejpam-5567	923	32	e	e	NOUN
ejpam-5567	923	33	)	)	PUNCT
ejpam-5567	923	34	such	such	ADJ
ejpam-5567	923	35	that	that	SCONJ
ejpam-5567	923	36	y	y	PROPN
ejpam-5567	923	37	(	(	PUNCT
ejpam-5567	923	38	f2	f2	PROPN
ejpam-5567	923	39	,	,	PUNCT
ejpam-5567	923	40	e)˜̃∩y	e)˜̃∩y	PROPN
ejpam-5567	923	41	(	(	PUNCT
ejpam-5567	923	42	f2	f2	PROPN
ejpam-5567	923	43	,	,	PUNCT
ejpam-5567	923	44	e	e	NOUN
ejpam-5567	923	45	)	)	PUNCT
ejpam-5567	923	46	=	=	VERB
ejpam-5567	923	47	˜̃∅.	˜̃∅.	PROPN
ejpam-5567	923	48	this	this	PRON
ejpam-5567	923	49	proves	prove	VERB
ejpam-5567	923	50	that	that	SCONJ
ejpam-5567	923	51	(	(	PUNCT
ejpam-5567	923	52	u1	u1	NOUN
ejpam-5567	923	53	,	,	PUNCT
ejpam-5567	923	54	u2	u2	NOUN
ejpam-5567	923	55	,	,	PUNCT
ejpam-5567	923	56	τ∆	τ∆	NOUN
ejpam-5567	923	57	,	,	PUNCT
ejpam-5567	923	58	e	e	NOUN
ejpam-5567	923	59	)	)	PUNCT
ejpam-5567	923	60	is	be	AUX
ejpam-5567	923	61	a	a	DET
ejpam-5567	923	62	ternary	ternary	ADJ
ejpam-5567	923	63	soft	soft	ADJ
ejpam-5567	923	64	s	s	NOUN
ejpam-5567	923	65	-	-	ADJ
ejpam-5567	923	66	regular	regular	ADJ
ejpam-5567	923	67	subspace	subspace	NOUN
ejpam-5567	923	68	of	of	ADP
ejpam-5567	923	69	(	(	PUNCT
ejpam-5567	923	70	u1	u1	PROPN
ejpam-5567	923	71	,	,	PUNCT
ejpam-5567	923	72	u2	u2	NOUN
ejpam-5567	923	73	,	,	PUNCT
ejpam-5567	923	74	u3	u3	NOUN
ejpam-5567	923	75	,	,	PUNCT
ejpam-5567	923	76	τ∆	τ∆	NOUN
ejpam-5567	923	77	,	,	PUNCT
ejpam-5567	923	78	e	e	NOUN
ejpam-5567	923	79	)	)	PUNCT
ejpam-5567	923	80	.	.	PUNCT
ejpam-5567	924	1	m.	m.	NOUN
ejpam-5567	924	2	nawaz	nawaz	PROPN
ejpam-5567	924	3	et	et	PROPN
ejpam-5567	924	4	al	al	PROPN
ejpam-5567	924	5	.	.	PUNCT
ejpam-5567	924	6	/	/	SYM
ejpam-5567	924	7	eur	eur	PROPN
ejpam-5567	924	8	.	.	PUNCT
ejpam-5567	925	1	j.	j.	PROPN
ejpam-5567	925	2	pure	pure	PROPN
ejpam-5567	925	3	appl	appl	PROPN
ejpam-5567	925	4	.	.	PROPN
ejpam-5567	925	5	math	math	PROPN
ejpam-5567	925	6	,	,	PUNCT
ejpam-5567	925	7	18	18	NUM
ejpam-5567	925	8	(	(	PUNCT
ejpam-5567	925	9	1	1	NUM
ejpam-5567	925	10	)	)	PUNCT
ejpam-5567	925	11	(	(	PUNCT
ejpam-5567	925	12	2025	2025	NUM
ejpam-5567	925	13	)	)	PUNCT
ejpam-5567	925	14	,	,	PUNCT
ejpam-5567	925	15	5567	5567	NUM
ejpam-5567	925	16	38	38	NUM
ejpam-5567	925	17	of	of	ADP
ejpam-5567	925	18	45	45	NUM
ejpam-5567	925	19	proposition	proposition	NOUN
ejpam-5567	925	20	21	21	NUM
ejpam-5567	925	21	.	.	PUNCT
ejpam-5567	926	1	let	let	AUX
ejpam-5567	926	2	(	(	PUNCT
ejpam-5567	926	3	u1	u1	NOUN
ejpam-5567	926	4	,	,	PUNCT
ejpam-5567	926	5	u2	u2	NOUN
ejpam-5567	926	6	,	,	PUNCT
ejpam-5567	926	7	u3	u3	NOUN
ejpam-5567	926	8	,	,	PUNCT
ejpam-5567	926	9	τ∆	τ∆	NOUN
ejpam-5567	926	10	,	,	PUNCT
ejpam-5567	926	11	e	e	X
ejpam-5567	926	12	)	)	PUNCT
ejpam-5567	926	13	be	be	AUX
ejpam-5567	926	14	a	a	DET
ejpam-5567	926	15	ternary	ternary	ADJ
ejpam-5567	926	16	soft	soft	ADJ
ejpam-5567	926	17	regular	regular	ADJ
ejpam-5567	926	18	space	space	NOUN
ejpam-5567	926	19	on	on	ADP
ejpam-5567	926	20	˜̃	˜̃	NOUN
ejpam-5567	926	21	x	x	SYM
ejpam-5567	926	22	over	over	ADP
ejpam-5567	926	23	(	(	PUNCT
ejpam-5567	926	24	u1	u1	NOUN
ejpam-5567	926	25	×	×	PROPN
ejpam-5567	926	26	u2	u2	PROPN
ejpam-5567	926	27	×	×	PROPN
ejpam-5567	926	28	u3	u3	PROPN
ejpam-5567	926	29	)	)	PUNCT
ejpam-5567	926	30	.	.	PUNCT
ejpam-5567	927	1	a	a	DET
ejpam-5567	927	2	ternary	ternary	ADJ
ejpam-5567	927	3	space	space	NOUN
ejpam-5567	927	4	(	(	PUNCT
ejpam-5567	927	5	u1	u1	NOUN
ejpam-5567	927	6	,	,	PUNCT
ejpam-5567	927	7	u2	u2	NOUN
ejpam-5567	927	8	,	,	PUNCT
ejpam-5567	927	9	u3	u3	NOUN
ejpam-5567	927	10	,	,	PUNCT
ejpam-5567	927	11	τ∆	τ∆	NOUN
ejpam-5567	927	12	,	,	PUNCT
ejpam-5567	927	13	e	e	X
ejpam-5567	927	14	)	)	PUNCT
ejpam-5567	927	15	is	be	AUX
ejpam-5567	927	16	ternary	ternary	ADJ
ejpam-5567	927	17	soft	soft	ADJ
ejpam-5567	927	18	s	s	NOUN
ejpam-5567	927	19	-	-	NOUN
ejpam-5567	927	20	regular	regular	ADJ
ejpam-5567	927	21	if	if	SCONJ
ejpam-5567	927	22	and	and	CCONJ
ejpam-5567	927	23	only	only	ADV
ejpam-5567	927	24	if	if	SCONJ
ejpam-5567	927	25	for	for	ADP
ejpam-5567	927	26	each	each	DET
ejpam-5567	927	27	fe	fe	X
ejpam-5567	927	28	˜̃∈	˜̃∈	PROPN
ejpam-5567	927	29	˜̃	˜̃	NOUN
ejpam-5567	927	30	x	x	X
ejpam-5567	927	31	and	and	CCONJ
ejpam-5567	927	32	a	a	DET
ejpam-5567	927	33	ternary	ternary	ADJ
ejpam-5567	927	34	soft	soft	ADJ
ejpam-5567	927	35	s	s	NOUN
ejpam-5567	927	36	-	-	PUNCT
ejpam-5567	927	37	closed	closed	ADJ
ejpam-5567	927	38	set	set	NOUN
ejpam-5567	927	39	(	(	PUNCT
ejpam-5567	927	40	f	f	X
ejpam-5567	927	41	,	,	PUNCT
ejpam-5567	927	42	e	e	NOUN
ejpam-5567	927	43	)	)	PUNCT
ejpam-5567	927	44	in	in	ADP
ejpam-5567	927	45	(	(	PUNCT
ejpam-5567	927	46	u1	u1	NOUN
ejpam-5567	927	47	,	,	PUNCT
ejpam-5567	927	48	u2	u2	NOUN
ejpam-5567	927	49	,	,	PUNCT
ejpam-5567	927	50	u3	u3	NOUN
ejpam-5567	927	51	,	,	PUNCT
ejpam-5567	927	52	τ∆	τ∆	NOUN
ejpam-5567	927	53	,	,	PUNCT
ejpam-5567	927	54	e	e	NOUN
ejpam-5567	927	55	)	)	PUNCT
ejpam-5567	927	56	such	such	ADJ
ejpam-5567	927	57	that	that	DET
ejpam-5567	927	58	fe	fe	NOUN
ejpam-5567	927	59	˜̃	˜̃	NOUN
ejpam-5567	927	60	/∈(f	/∈(f	PUNCT
ejpam-5567	927	61	,	,	PUNCT
ejpam-5567	927	62	e	e	NOUN
ejpam-5567	927	63	)	)	PUNCT
ejpam-5567	927	64	,	,	PUNCT
ejpam-5567	927	65	there	there	PRON
ejpam-5567	927	66	exist	exist	VERB
ejpam-5567	927	67	ternary	ternary	ADJ
ejpam-5567	927	68	soft	soft	ADJ
ejpam-5567	927	69	s	s	NOUN
ejpam-5567	927	70	-	-	ADJ
ejpam-5567	927	71	open	open	ADJ
ejpam-5567	927	72	sets	set	NOUN
ejpam-5567	927	73	(	(	PUNCT
ejpam-5567	927	74	f1	f1	NOUN
ejpam-5567	927	75	,	,	PUNCT
ejpam-5567	927	76	e	e	NOUN
ejpam-5567	927	77	)	)	PUNCT
ejpam-5567	927	78	,	,	PUNCT
ejpam-5567	927	79	(	(	PUNCT
ejpam-5567	927	80	f2	f2	X
ejpam-5567	927	81	,	,	PUNCT
ejpam-5567	927	82	e	e	NOUN
ejpam-5567	927	83	)	)	PUNCT
ejpam-5567	927	84	in	in	ADP
ejpam-5567	927	85	(	(	PUNCT
ejpam-5567	927	86	u1	u1	NOUN
ejpam-5567	927	87	,	,	PUNCT
ejpam-5567	927	88	u2	u2	NOUN
ejpam-5567	927	89	,	,	PUNCT
ejpam-5567	927	90	u3	u3	NOUN
ejpam-5567	927	91	,	,	PUNCT
ejpam-5567	927	92	τ∆	τ∆	NOUN
ejpam-5567	927	93	,	,	PUNCT
ejpam-5567	927	94	e	e	NOUN
ejpam-5567	927	95	)	)	PUNCT
ejpam-5567	927	96	such	such	ADJ
ejpam-5567	927	97	that	that	DET
ejpam-5567	927	98	fe	fe	X
ejpam-5567	927	99	˜̃∈(f1	˜̃∈(f1	PROPN
ejpam-5567	927	100	,	,	PUNCT
ejpam-5567	927	101	e	e	NOUN
ejpam-5567	927	102	)	)	PUNCT
ejpam-5567	927	103	,	,	PUNCT
ejpam-5567	927	104	(	(	PUNCT
ejpam-5567	927	105	f1	f1	NOUN
ejpam-5567	927	106	,	,	PUNCT
ejpam-5567	927	107	e	e	NOUN
ejpam-5567	927	108	)	)	PUNCT
ejpam-5567	927	109	˜̃⊆(f2	˜̃⊆(f2	NOUN
ejpam-5567	927	110	,	,	PUNCT
ejpam-5567	927	111	e	e	NOUN
ejpam-5567	927	112	)	)	PUNCT
ejpam-5567	927	113	and	and	CCONJ
ejpam-5567	927	114	(	(	PUNCT
ejpam-5567	927	115	f1	f1	NOUN
ejpam-5567	927	116	,	,	PUNCT
ejpam-5567	927	117	e)˜̃∩(f2	e)˜̃∩(f2	NOUN
ejpam-5567	927	118	,	,	PUNCT
ejpam-5567	927	119	e	e	NOUN
ejpam-5567	927	120	)	)	PUNCT
ejpam-5567	928	1	=	=	SYM
ejpam-5567	928	2	˜̃∅.	˜̃∅.	NOUN
ejpam-5567	928	3	proof	proof	NOUN
ejpam-5567	928	4	.	.	PUNCT
ejpam-5567	929	1	for	for	ADP
ejpam-5567	929	2	each	each	DET
ejpam-5567	929	3	fe	fe	X
ejpam-5567	929	4	˜̃∈	˜̃∈	PROPN
ejpam-5567	929	5	˜̃	˜̃	NOUN
ejpam-5567	929	6	x	x	X
ejpam-5567	929	7	and	and	CCONJ
ejpam-5567	929	8	a	a	DET
ejpam-5567	929	9	ternary	ternary	ADJ
ejpam-5567	929	10	soft	soft	ADJ
ejpam-5567	929	11	s	s	NOUN
ejpam-5567	929	12	-	-	PUNCT
ejpam-5567	929	13	closed	closed	ADJ
ejpam-5567	929	14	set	set	NOUN
ejpam-5567	929	15	(	(	PUNCT
ejpam-5567	929	16	g	g	NOUN
ejpam-5567	929	17	,	,	PUNCT
ejpam-5567	929	18	e	e	NOUN
ejpam-5567	929	19	)	)	PUNCT
ejpam-5567	929	20	such	such	ADJ
ejpam-5567	929	21	that	that	DET
ejpam-5567	929	22	fe	fe	NOUN
ejpam-5567	929	23	˜̃	˜̃	NOUN
ejpam-5567	929	24	/∈(f	/∈(f	PUNCT
ejpam-5567	929	25	,	,	PUNCT
ejpam-5567	929	26	e	e	NOUN
ejpam-5567	929	27	)	)	PUNCT
ejpam-5567	929	28	,	,	PUNCT
ejpam-5567	929	29	there	there	PRON
ejpam-5567	929	30	is	be	VERB
ejpam-5567	929	31	a	a	DET
ejpam-5567	929	32	ternary	ternary	ADJ
ejpam-5567	929	33	soft	soft	ADJ
ejpam-5567	929	34	s	s	NOUN
ejpam-5567	929	35	-	-	ADJ
ejpam-5567	929	36	open	open	ADJ
ejpam-5567	929	37	set	set	NOUN
ejpam-5567	929	38	(	(	PUNCT
ejpam-5567	929	39	g	g	NOUN
ejpam-5567	929	40	,	,	PUNCT
ejpam-5567	929	41	e	e	NOUN
ejpam-5567	929	42	)	)	PUNCT
ejpam-5567	929	43	such	such	ADJ
ejpam-5567	929	44	that	that	DET
ejpam-5567	929	45	fe	fe	PROPN
ejpam-5567	929	46	˜̃∈(g	˜̃∈(g	X
ejpam-5567	929	47	,	,	PUNCT
ejpam-5567	929	48	e	e	NOUN
ejpam-5567	929	49	)	)	PUNCT
ejpam-5567	929	50	,	,	PUNCT
ejpam-5567	929	51	(	(	PUNCT
ejpam-5567	929	52	g	g	NOUN
ejpam-5567	929	53	,	,	PUNCT
ejpam-5567	929	54	e	e	NOUN
ejpam-5567	929	55	)	)	PUNCT
ejpam-5567	929	56	˜̃⊆(f1	˜̃⊆(f1	NOUN
ejpam-5567	929	57	,	,	PUNCT
ejpam-5567	929	58	e)c	e)c	NOUN
ejpam-5567	929	59	.	.	PUNCT
ejpam-5567	930	1	again	again	ADV
ejpam-5567	930	2	,	,	PUNCT
ejpam-5567	930	3	there	there	PRON
ejpam-5567	930	4	is	be	VERB
ejpam-5567	930	5	a	a	DET
ejpam-5567	930	6	ternary	ternary	ADJ
ejpam-5567	930	7	soft	soft	ADJ
ejpam-5567	930	8	s	s	NOUN
ejpam-5567	930	9	-	-	ADJ
ejpam-5567	930	10	open	open	ADJ
ejpam-5567	930	11	set	set	NOUN
ejpam-5567	930	12	(	(	PUNCT
ejpam-5567	930	13	f1	f1	NOUN
ejpam-5567	930	14	,	,	PUNCT
ejpam-5567	930	15	e	e	NOUN
ejpam-5567	930	16	)	)	PUNCT
ejpam-5567	930	17	containing	contain	VERB
ejpam-5567	930	18	fe	fe	INTJ
ejpam-5567	930	19	such	such	ADJ
ejpam-5567	930	20	that	that	PRON
ejpam-5567	930	21	(	(	PUNCT
ejpam-5567	930	22	f1	f1	NOUN
ejpam-5567	930	23	,	,	PUNCT
ejpam-5567	930	24	e	e	NOUN
ejpam-5567	930	25	)	)	PUNCT
ejpam-5567	930	26	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	930	27	,	,	PUNCT
ejpam-5567	930	28	e	e	NOUN
ejpam-5567	930	29	)	)	PUNCT
ejpam-5567	930	30	.	.	PUNCT
ejpam-5567	931	1	let	let	VERB
ejpam-5567	931	2	(	(	PUNCT
ejpam-5567	931	3	f2	f2	X
ejpam-5567	931	4	,	,	PUNCT
ejpam-5567	931	5	e	e	NOUN
ejpam-5567	931	6	)	)	PUNCT
ejpam-5567	931	7	=	=	SYM
ejpam-5567	931	8	(	(	PUNCT
ejpam-5567	931	9	(	(	PUNCT
ejpam-5567	931	10	g	g	NOUN
ejpam-5567	931	11	,	,	PUNCT
ejpam-5567	931	12	e))c	e))c	NOUN
ejpam-5567	931	13	,	,	PUNCT
ejpam-5567	931	14	then	then	ADV
ejpam-5567	931	15	(	(	PUNCT
ejpam-5567	931	16	f1	f1	NOUN
ejpam-5567	931	17	,	,	PUNCT
ejpam-5567	931	18	e	e	NOUN
ejpam-5567	931	19	)	)	PUNCT
ejpam-5567	931	20	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	931	21	,	,	PUNCT
ejpam-5567	931	22	e	e	NOUN
ejpam-5567	931	23	)	)	PUNCT
ejpam-5567	931	24	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	931	25	,	,	PUNCT
ejpam-5567	931	26	e	e	NOUN
ejpam-5567	931	27	)	)	PUNCT
ejpam-5567	931	28	˜̃⊆(f	˜̃⊆(f	NOUN
ejpam-5567	931	29	,	,	PUNCT
ejpam-5567	931	30	e)c	e)c	X
ejpam-5567	931	31	implies	imply	VERB
ejpam-5567	931	32	(	(	PUNCT
ejpam-5567	931	33	f1	f1	NOUN
ejpam-5567	931	34	,	,	PUNCT
ejpam-5567	931	35	e	e	NOUN
ejpam-5567	931	36	)	)	PUNCT
ejpam-5567	931	37	˜̃⊆(f2	˜̃⊆(f2	NOUN
ejpam-5567	931	38	,	,	PUNCT
ejpam-5567	931	39	e	e	NOUN
ejpam-5567	931	40	)	)	PUNCT
ejpam-5567	931	41	˜̃⊆((g	˜̃⊆((g	ADJ
ejpam-5567	931	42	,	,	PUNCT
ejpam-5567	931	43	e))c	e))c	ADJ
ejpam-5567	931	44	or	or	CCONJ
ejpam-5567	931	45	(	(	PUNCT
ejpam-5567	931	46	f	f	X
ejpam-5567	931	47	,	,	PUNCT
ejpam-5567	931	48	e	e	NOUN
ejpam-5567	931	49	)	)	PUNCT
ejpam-5567	931	50	˜̃⊆(f2	˜̃⊆(f2	NOUN
ejpam-5567	931	51	,	,	PUNCT
ejpam-5567	931	52	e	e	NOUN
ejpam-5567	931	53	)	)	PUNCT
ejpam-5567	931	54	.	.	PUNCT
ejpam-5567	932	1	also	also	ADV
ejpam-5567	932	2	,	,	PUNCT
ejpam-5567	932	3	(	(	PUNCT
ejpam-5567	932	4	f1	f1	NOUN
ejpam-5567	932	5	,	,	PUNCT
ejpam-5567	932	6	e)˜̃∩(f2	e)˜̃∩(f2	NOUN
ejpam-5567	932	7	,	,	PUNCT
ejpam-5567	932	8	e	e	NOUN
ejpam-5567	932	9	)	)	PUNCT
ejpam-5567	932	10	=	=	SYM
ejpam-5567	932	11	(	(	PUNCT
ejpam-5567	932	12	f1	f1	NOUN
ejpam-5567	932	13	,	,	PUNCT
ejpam-5567	932	14	e)˜̃∩((g	e)˜̃∩((g	PROPN
ejpam-5567	932	15	,	,	PUNCT
ejpam-5567	932	16	e))c	e))c	ADJ
ejpam-5567	932	17	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	932	18	,	,	PUNCT
ejpam-5567	932	19	e)˜̃∩((g	e)˜̃∩((g	PROPN
ejpam-5567	932	20	,	,	PUNCT
ejpam-5567	932	21	e))c	e))c	ADJ
ejpam-5567	932	22	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	932	23	,	,	PUNCT
ejpam-5567	932	24	e)˜̃∩((g	e)˜̃∩((g	ADP
ejpam-5567	932	25	,	,	PUNCT
ejpam-5567	932	26	e))c	e))c	NOUN
ejpam-5567	932	27	=	=	SYM
ejpam-5567	932	28	˜̃∅	˜̃∅	PROPN
ejpam-5567	932	29	.	.	PUNCT
ejpam-5567	933	1	thus	thus	ADV
ejpam-5567	933	2	,	,	PUNCT
ejpam-5567	933	3	(	(	PUNCT
ejpam-5567	933	4	f1	f1	NOUN
ejpam-5567	933	5	,	,	PUNCT
ejpam-5567	933	6	e	e	NOUN
ejpam-5567	933	7	)	)	PUNCT
ejpam-5567	933	8	,	,	PUNCT
ejpam-5567	933	9	(	(	PUNCT
ejpam-5567	933	10	f2	f2	X
ejpam-5567	933	11	,	,	PUNCT
ejpam-5567	933	12	e	e	NOUN
ejpam-5567	933	13	)	)	PUNCT
ejpam-5567	933	14	are	be	AUX
ejpam-5567	933	15	the	the	DET
ejpam-5567	933	16	required	require	VERB
ejpam-5567	933	17	ternary	ternary	ADJ
ejpam-5567	933	18	soft	soft	ADJ
ejpam-5567	933	19	s	s	NOUN
ejpam-5567	933	20	-	-	ADJ
ejpam-5567	933	21	open	open	ADJ
ejpam-5567	933	22	sets	set	NOUN
ejpam-5567	933	23	in	in	ADP
ejpam-5567	933	24	(	(	PUNCT
ejpam-5567	933	25	u1	u1	NOUN
ejpam-5567	933	26	,	,	PUNCT
ejpam-5567	933	27	u2	u2	NOUN
ejpam-5567	933	28	,	,	PUNCT
ejpam-5567	933	29	u3	u3	NOUN
ejpam-5567	933	30	,	,	PUNCT
ejpam-5567	933	31	τ∆	τ∆	NOUN
ejpam-5567	933	32	,	,	PUNCT
ejpam-5567	933	33	e	e	NOUN
ejpam-5567	933	34	)	)	PUNCT
ejpam-5567	933	35	.	.	PUNCT
ejpam-5567	934	1	this	this	PRON
ejpam-5567	934	2	proves	prove	VERB
ejpam-5567	934	3	the	the	DET
ejpam-5567	934	4	necessity	necessity	NOUN
ejpam-5567	934	5	.	.	PUNCT
ejpam-5567	935	1	the	the	DET
ejpam-5567	935	2	sufficiency	sufficiency	NOUN
ejpam-5567	935	3	is	be	AUX
ejpam-5567	935	4	immediate	immediate	ADJ
ejpam-5567	935	5	.	.	PUNCT
ejpam-5567	936	1	definition	definition	NOUN
ejpam-5567	936	2	39	39	NUM
ejpam-5567	936	3	.	.	PUNCT
ejpam-5567	937	1	let	let	AUX
ejpam-5567	937	2	(	(	PUNCT
ejpam-5567	937	3	u1	u1	NOUN
ejpam-5567	937	4	,	,	PUNCT
ejpam-5567	937	5	u2	u2	NOUN
ejpam-5567	937	6	,	,	PUNCT
ejpam-5567	937	7	u3	u3	NOUN
ejpam-5567	937	8	,	,	PUNCT
ejpam-5567	937	9	τ∆	τ∆	NOUN
ejpam-5567	937	10	,	,	PUNCT
ejpam-5567	937	11	e	e	X
ejpam-5567	937	12	)	)	PUNCT
ejpam-5567	937	13	be	be	AUX
ejpam-5567	937	14	a	a	DET
ejpam-5567	937	15	ternary	ternary	ADJ
ejpam-5567	937	16	soft	soft	ADJ
ejpam-5567	937	17	regular	regular	ADJ
ejpam-5567	937	18	space	space	NOUN
ejpam-5567	937	19	on	on	ADP
ejpam-5567	937	20	˜̃	˜̃	NOUN
ejpam-5567	937	21	x	x	SYM
ejpam-5567	937	22	over	over	ADP
ejpam-5567	937	23	(	(	PUNCT
ejpam-5567	937	24	u1	u1	NOUN
ejpam-5567	937	25	×	×	PROPN
ejpam-5567	937	26	u2	u2	PROPN
ejpam-5567	937	27	×	×	PROPN
ejpam-5567	937	28	u3	u3	PROPN
ejpam-5567	937	29	)	)	PUNCT
ejpam-5567	937	30	.	.	PUNCT
ejpam-5567	938	1	(	(	PUNCT
ejpam-5567	938	2	f	f	X
ejpam-5567	938	3	,	,	PUNCT
ejpam-5567	938	4	e	e	NOUN
ejpam-5567	938	5	)	)	PUNCT
ejpam-5567	938	6	,	,	PUNCT
ejpam-5567	938	7	(	(	PUNCT
ejpam-5567	938	8	g	g	NOUN
ejpam-5567	938	9	,	,	PUNCT
ejpam-5567	938	10	e	e	NOUN
ejpam-5567	938	11	)	)	PUNCT
ejpam-5567	938	12	are	be	AUX
ejpam-5567	938	13	ternary	ternary	ADJ
ejpam-5567	938	14	soft	soft	ADJ
ejpam-5567	938	15	s	s	NOUN
ejpam-5567	938	16	-	-	PUNCT
ejpam-5567	938	17	closed	closed	ADJ
ejpam-5567	938	18	sets	set	NOUN
ejpam-5567	938	19	over	over	ADP
ejpam-5567	938	20	(	(	PUNCT
ejpam-5567	938	21	u1	u1	NOUN
ejpam-5567	938	22	×	×	PROPN
ejpam-5567	938	23	u2	u2	PROPN
ejpam-5567	938	24	×	×	PROPN
ejpam-5567	938	25	u3	u3	NOUN
ejpam-5567	938	26	)	)	PUNCT
ejpam-5567	938	27	such	such	ADJ
ejpam-5567	938	28	that	that	SCONJ
ejpam-5567	938	29	(	(	PUNCT
ejpam-5567	938	30	f	f	X
ejpam-5567	938	31	,	,	PUNCT
ejpam-5567	938	32	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	938	33	,	,	PUNCT
ejpam-5567	938	34	e	e	NOUN
ejpam-5567	938	35	)	)	PUNCT
ejpam-5567	938	36	=	=	SYM
ejpam-5567	939	1	˜̃∅.	˜̃∅.	PROPN
ejpam-5567	939	2	if	if	SCONJ
ejpam-5567	939	3	there	there	PRON
ejpam-5567	939	4	exist	exist	VERB
ejpam-5567	939	5	ternary	ternary	ADJ
ejpam-5567	939	6	soft	soft	ADJ
ejpam-5567	939	7	s	s	NOUN
ejpam-5567	939	8	-	-	ADJ
ejpam-5567	939	9	open	open	ADJ
ejpam-5567	939	10	sets	set	NOUN
ejpam-5567	939	11	(	(	PUNCT
ejpam-5567	939	12	f1	f1	NOUN
ejpam-5567	939	13	,	,	PUNCT
ejpam-5567	939	14	e	e	NOUN
ejpam-5567	939	15	)	)	PUNCT
ejpam-5567	939	16	,	,	PUNCT
ejpam-5567	939	17	(	(	PUNCT
ejpam-5567	939	18	f2	f2	X
ejpam-5567	939	19	,	,	PUNCT
ejpam-5567	939	20	e	e	NOUN
ejpam-5567	939	21	)	)	PUNCT
ejpam-5567	939	22	such	such	ADJ
ejpam-5567	939	23	that	that	SCONJ
ejpam-5567	939	24	(	(	PUNCT
ejpam-5567	939	25	f	f	X
ejpam-5567	939	26	,	,	PUNCT
ejpam-5567	939	27	e	e	NOUN
ejpam-5567	939	28	)	)	PUNCT
ejpam-5567	939	29	˜̃⊆(f1	˜̃⊆(f1	NOUN
ejpam-5567	939	30	,	,	PUNCT
ejpam-5567	939	31	e	e	NOUN
ejpam-5567	939	32	)	)	PUNCT
ejpam-5567	939	33	,	,	PUNCT
ejpam-5567	939	34	(	(	PUNCT
ejpam-5567	939	35	g	g	NOUN
ejpam-5567	939	36	,	,	PUNCT
ejpam-5567	939	37	e	e	NOUN
ejpam-5567	939	38	)	)	PUNCT
ejpam-5567	939	39	˜̃⊆(f2	˜̃⊆(f2	NOUN
ejpam-5567	939	40	,	,	PUNCT
ejpam-5567	939	41	e	e	NOUN
ejpam-5567	939	42	)	)	PUNCT
ejpam-5567	939	43	and	and	CCONJ
ejpam-5567	939	44	(	(	PUNCT
ejpam-5567	939	45	f1	f1	NOUN
ejpam-5567	939	46	,	,	PUNCT
ejpam-5567	939	47	e)˜̃∩(f2	e)˜̃∩(f2	NOUN
ejpam-5567	939	48	,	,	PUNCT
ejpam-5567	939	49	e	e	NOUN
ejpam-5567	939	50	)	)	PUNCT
ejpam-5567	939	51	=	=	SYM
ejpam-5567	939	52	˜̃∅	˜̃∅	NOUN
ejpam-5567	939	53	,	,	PUNCT
ejpam-5567	939	54	then	then	ADV
ejpam-5567	939	55	(	(	PUNCT
ejpam-5567	939	56	u1	u1	NOUN
ejpam-5567	939	57	,	,	PUNCT
ejpam-5567	939	58	u2	u2	NOUN
ejpam-5567	939	59	,	,	PUNCT
ejpam-5567	939	60	u3	u3	NOUN
ejpam-5567	939	61	,	,	PUNCT
ejpam-5567	939	62	τ∆	τ∆	NOUN
ejpam-5567	939	63	,	,	PUNCT
ejpam-5567	939	64	e	e	NOUN
ejpam-5567	939	65	)	)	PUNCT
ejpam-5567	939	66	is	be	AUX
ejpam-5567	939	67	called	call	VERB
ejpam-5567	939	68	a	a	DET
ejpam-5567	939	69	ternary	ternary	ADJ
ejpam-5567	939	70	soft	soft	ADJ
ejpam-5567	939	71	s	s	NOUN
ejpam-5567	939	72	-	-	ADJ
ejpam-5567	939	73	normal	normal	ADJ
ejpam-5567	939	74	space	space	NOUN
ejpam-5567	939	75	.	.	PUNCT
ejpam-5567	940	1	definition	definition	NOUN
ejpam-5567	940	2	40	40	NUM
ejpam-5567	940	3	.	.	PUNCT
ejpam-5567	941	1	let	let	AUX
ejpam-5567	941	2	(	(	PUNCT
ejpam-5567	941	3	u1	u1	NOUN
ejpam-5567	941	4	,	,	PUNCT
ejpam-5567	941	5	u2	u2	NOUN
ejpam-5567	941	6	,	,	PUNCT
ejpam-5567	941	7	u3	u3	NOUN
ejpam-5567	941	8	,	,	PUNCT
ejpam-5567	941	9	τ∆	τ∆	NOUN
ejpam-5567	941	10	,	,	PUNCT
ejpam-5567	941	11	e	e	X
ejpam-5567	941	12	)	)	PUNCT
ejpam-5567	941	13	be	be	AUX
ejpam-5567	941	14	a	a	DET
ejpam-5567	941	15	ternary	ternary	ADJ
ejpam-5567	941	16	soft	soft	ADJ
ejpam-5567	941	17	regular	regular	ADJ
ejpam-5567	941	18	space	space	NOUN
ejpam-5567	941	19	on	on	ADP
ejpam-5567	941	20	˜̃	˜̃	NOUN
ejpam-5567	941	21	x	x	SYM
ejpam-5567	941	22	over	over	ADP
ejpam-5567	941	23	(	(	PUNCT
ejpam-5567	941	24	u1	u1	NOUN
ejpam-5567	941	25	×	×	PROPN
ejpam-5567	941	26	u2	u2	PROPN
ejpam-5567	941	27	×	×	PROPN
ejpam-5567	941	28	u3	u3	PROPN
ejpam-5567	941	29	)	)	PUNCT
ejpam-5567	941	30	.	.	PUNCT
ejpam-5567	942	1	then	then	ADV
ejpam-5567	942	2	(	(	PUNCT
ejpam-5567	942	3	u1	u1	PROPN
ejpam-5567	942	4	,	,	PUNCT
ejpam-5567	942	5	u2	u2	NOUN
ejpam-5567	942	6	,	,	PUNCT
ejpam-5567	942	7	u3	u3	NOUN
ejpam-5567	942	8	,	,	PUNCT
ejpam-5567	942	9	τ∆	τ∆	NOUN
ejpam-5567	942	10	,	,	PUNCT
ejpam-5567	942	11	e	e	X
ejpam-5567	942	12	)	)	PUNCT
ejpam-5567	942	13	is	be	AUX
ejpam-5567	942	14	said	say	VERB
ejpam-5567	942	15	to	to	PART
ejpam-5567	942	16	be	be	AUX
ejpam-5567	942	17	a	a	DET
ejpam-5567	942	18	ternary	ternary	ADJ
ejpam-5567	942	19	soft	soft	ADJ
ejpam-5567	942	20	s	s	NOUN
ejpam-5567	942	21	-	-	ADJ
ejpam-5567	942	22	τ3∆	τ3∆	ADJ
ejpam-5567	942	23	space	space	NOUN
ejpam-5567	942	24	if	if	SCONJ
ejpam-5567	942	25	it	it	PRON
ejpam-5567	942	26	is	be	AUX
ejpam-5567	942	27	ternary	ternary	ADJ
ejpam-5567	942	28	soft	soft	ADJ
ejpam-5567	942	29	s	s	NOUN
ejpam-5567	942	30	-	-	ADJ
ejpam-5567	942	31	regular	regular	ADJ
ejpam-5567	942	32	and	and	CCONJ
ejpam-5567	942	33	a	a	DET
ejpam-5567	942	34	ternary	ternary	ADJ
ejpam-5567	942	35	soft	soft	ADJ
ejpam-5567	942	36	s	s	NOUN
ejpam-5567	942	37	-	-	NOUN
ejpam-5567	942	38	τ∆1	τ∆1	PROPN
ejpam-5567	942	39	space	space	NOUN
ejpam-5567	942	40	.	.	PUNCT
ejpam-5567	943	1	proposition	proposition	NOUN
ejpam-5567	943	2	22	22	NUM
ejpam-5567	943	3	.	.	PUNCT
ejpam-5567	944	1	let	let	AUX
ejpam-5567	944	2	(	(	PUNCT
ejpam-5567	944	3	u1	u1	NOUN
ejpam-5567	944	4	,	,	PUNCT
ejpam-5567	944	5	u2	u2	NOUN
ejpam-5567	944	6	,	,	PUNCT
ejpam-5567	944	7	u3	u3	NOUN
ejpam-5567	944	8	,	,	PUNCT
ejpam-5567	944	9	τ∆	τ∆	NOUN
ejpam-5567	944	10	,	,	PUNCT
ejpam-5567	944	11	e	e	X
ejpam-5567	944	12	)	)	PUNCT
ejpam-5567	944	13	be	be	AUX
ejpam-5567	944	14	a	a	DET
ejpam-5567	944	15	ternary	ternary	ADJ
ejpam-5567	944	16	soft	soft	ADJ
ejpam-5567	944	17	regular	regular	ADJ
ejpam-5567	944	18	space	space	NOUN
ejpam-5567	944	19	on	on	ADP
ejpam-5567	944	20	˜̃	˜̃	NOUN
ejpam-5567	944	21	x	x	SYM
ejpam-5567	944	22	over	over	ADP
ejpam-5567	944	23	(	(	PUNCT
ejpam-5567	944	24	u1	u1	NOUN
ejpam-5567	944	25	×	×	PROPN
ejpam-5567	944	26	u2	u2	PROPN
ejpam-5567	944	27	×	×	PROPN
ejpam-5567	944	28	u3	u3	PROPN
ejpam-5567	944	29	)	)	PUNCT
ejpam-5567	944	30	and	and	CCONJ
ejpam-5567	944	31	˜̃	˜̃	NOUN
ejpam-5567	944	32	y	y	PROPN
ejpam-5567	944	33	˜̃⊆	˜̃⊆	PROPN
ejpam-5567	944	34	˜̃	˜̃	NOUN
ejpam-5567	944	35	x.	x.	NOUN
ejpam-5567	945	1	if	if	SCONJ
ejpam-5567	945	2	(	(	PUNCT
ejpam-5567	945	3	u1	u1	NOUN
ejpam-5567	945	4	,	,	PUNCT
ejpam-5567	945	5	u2	u2	NOUN
ejpam-5567	945	6	,	,	PUNCT
ejpam-5567	945	7	u3	u3	NOUN
ejpam-5567	945	8	,	,	PUNCT
ejpam-5567	945	9	τ∆	τ∆	NOUN
ejpam-5567	945	10	,	,	PUNCT
ejpam-5567	945	11	e	e	NOUN
ejpam-5567	945	12	)	)	PUNCT
ejpam-5567	945	13	is	be	AUX
ejpam-5567	945	14	a	a	DET
ejpam-5567	945	15	ternary	ternary	ADJ
ejpam-5567	945	16	soft	soft	ADJ
ejpam-5567	945	17	s	s	NOUN
ejpam-5567	945	18	-	-	PUNCT
ejpam-5567	945	19	τ∆3	τ∆3	NOUN
ejpam-5567	945	20	space	space	NOUN
ejpam-5567	945	21	,	,	PUNCT
ejpam-5567	945	22	then	then	ADV
ejpam-5567	945	23	(	(	PUNCT
ejpam-5567	945	24	u1	u1	NOUN
ejpam-5567	945	25	,	,	PUNCT
ejpam-5567	945	26	u2	u2	NOUN
ejpam-5567	945	27	,	,	PUNCT
ejpam-5567	945	28	u3	u3	NOUN
ejpam-5567	945	29	,	,	PUNCT
ejpam-5567	945	30	τ∆y	τ∆y	NOUN
ejpam-5567	945	31	,	,	PUNCT
ejpam-5567	945	32	e	e	X
ejpam-5567	945	33	)	)	PUNCT
ejpam-5567	945	34	is	be	AUX
ejpam-5567	945	35	a	a	DET
ejpam-5567	945	36	ternary	ternary	ADJ
ejpam-5567	945	37	soft	soft	ADJ
ejpam-5567	945	38	s	s	NOUN
ejpam-5567	945	39	-	-	PUNCT
ejpam-5567	945	40	τ∆3	τ∆3	ADJ
ejpam-5567	945	41	space	space	NOUN
ejpam-5567	945	42	.	.	PUNCT
ejpam-5567	946	1	definition	definition	NOUN
ejpam-5567	946	2	41	41	NUM
ejpam-5567	946	3	.	.	PUNCT
ejpam-5567	947	1	a	a	DET
ejpam-5567	947	2	ternary	ternary	ADJ
ejpam-5567	947	3	soft	soft	ADJ
ejpam-5567	947	4	topological	topological	ADJ
ejpam-5567	947	5	space	space	NOUN
ejpam-5567	947	6	(	(	PUNCT
ejpam-5567	947	7	u1	u1	NOUN
ejpam-5567	947	8	,	,	PUNCT
ejpam-5567	947	9	u2	u2	NOUN
ejpam-5567	947	10	,	,	PUNCT
ejpam-5567	947	11	u3	u3	NOUN
ejpam-5567	947	12	,	,	PUNCT
ejpam-5567	947	13	τ∆	τ∆	NOUN
ejpam-5567	947	14	,	,	PUNCT
ejpam-5567	947	15	e	e	NOUN
ejpam-5567	947	16	)	)	PUNCT
ejpam-5567	947	17	on	on	ADP
ejpam-5567	947	18	˜̃	˜̃	NOUN
ejpam-5567	947	19	x	x	SYM
ejpam-5567	947	20	over	over	ADP
ejpam-5567	947	21	(	(	PUNCT
ejpam-5567	947	22	u1×u2×	u1×u2×	ADJ
ejpam-5567	947	23	u3	u3	NOUN
ejpam-5567	947	24	)	)	PUNCT
ejpam-5567	947	25	is	be	AUX
ejpam-5567	947	26	said	say	VERB
ejpam-5567	947	27	to	to	PART
ejpam-5567	947	28	be	be	AUX
ejpam-5567	947	29	a	a	DET
ejpam-5567	947	30	ternary	ternary	ADJ
ejpam-5567	947	31	soft	soft	ADJ
ejpam-5567	947	32	s	s	NOUN
ejpam-5567	947	33	-	-	PUNCT
ejpam-5567	947	34	τ∆4	τ∆4	ADJ
ejpam-5567	947	35	space	space	NOUN
ejpam-5567	947	36	if	if	SCONJ
ejpam-5567	947	37	it	it	PRON
ejpam-5567	947	38	is	be	AUX
ejpam-5567	947	39	ternary	ternary	ADJ
ejpam-5567	947	40	soft	soft	ADJ
ejpam-5567	947	41	s	s	NOUN
ejpam-5567	947	42	-	-	ADJ
ejpam-5567	947	43	normal	normal	ADJ
ejpam-5567	947	44	and	and	CCONJ
ejpam-5567	947	45	ternary	ternary	ADJ
ejpam-5567	947	46	soft	soft	ADJ
ejpam-5567	947	47	s	s	NOUN
ejpam-5567	947	48	-	-	PUNCT
ejpam-5567	947	49	τ∆1	τ∆1	PROPN
ejpam-5567	947	50	space	space	NOUN
ejpam-5567	947	51	and	and	CCONJ
ejpam-5567	947	52	τ∆3	τ∆3	NOUN
ejpam-5567	947	53	-	-	PUNCT
ejpam-5567	947	54	space	space	NOUN
ejpam-5567	947	55	.	.	PUNCT
ejpam-5567	948	1	proposition	proposition	NOUN
ejpam-5567	948	2	23	23	NUM
ejpam-5567	948	3	.	.	PUNCT
ejpam-5567	949	1	a	a	DET
ejpam-5567	949	2	ternary	ternary	ADJ
ejpam-5567	949	3	soft	soft	ADJ
ejpam-5567	949	4	topological	topological	ADJ
ejpam-5567	949	5	space	space	NOUN
ejpam-5567	949	6	(	(	PUNCT
ejpam-5567	949	7	u1	u1	NOUN
ejpam-5567	949	8	,	,	PUNCT
ejpam-5567	949	9	u2	u2	NOUN
ejpam-5567	949	10	,	,	PUNCT
ejpam-5567	949	11	u3	u3	NOUN
ejpam-5567	949	12	,	,	PUNCT
ejpam-5567	949	13	τ∆	τ∆	NOUN
ejpam-5567	949	14	,	,	PUNCT
ejpam-5567	949	15	e	e	X
ejpam-5567	949	16	)	)	PUNCT
ejpam-5567	949	17	is	be	AUX
ejpam-5567	949	18	ternary	ternary	ADJ
ejpam-5567	949	19	soft	soft	ADJ
ejpam-5567	949	20	snormal	snormal	ADJ
ejpam-5567	949	21	if	if	SCONJ
ejpam-5567	949	22	and	and	CCONJ
ejpam-5567	949	23	only	only	ADV
ejpam-5567	949	24	if	if	SCONJ
ejpam-5567	949	25	for	for	ADP
ejpam-5567	949	26	a	a	DET
ejpam-5567	949	27	soft	soft	ADJ
ejpam-5567	949	28	s	s	NOUN
ejpam-5567	949	29	-	-	PUNCT
ejpam-5567	949	30	closed	closed	ADJ
ejpam-5567	949	31	set	set	NOUN
ejpam-5567	949	32	(	(	PUNCT
ejpam-5567	949	33	f	f	X
ejpam-5567	949	34	,	,	PUNCT
ejpam-5567	949	35	e	e	NOUN
ejpam-5567	949	36	)	)	PUNCT
ejpam-5567	949	37	and	and	CCONJ
ejpam-5567	949	38	a	a	DET
ejpam-5567	949	39	ternary	ternary	ADJ
ejpam-5567	949	40	soft	soft	ADJ
ejpam-5567	949	41	s	s	NOUN
ejpam-5567	949	42	-	-	ADJ
ejpam-5567	949	43	open	open	ADJ
ejpam-5567	949	44	set	set	NOUN
ejpam-5567	949	45	(	(	PUNCT
ejpam-5567	949	46	g	g	NOUN
ejpam-5567	949	47	,	,	PUNCT
ejpam-5567	949	48	e	e	NOUN
ejpam-5567	949	49	)	)	PUNCT
ejpam-5567	949	50	,	,	PUNCT
ejpam-5567	949	51	such	such	ADJ
ejpam-5567	949	52	that	that	SCONJ
ejpam-5567	949	53	(	(	PUNCT
ejpam-5567	949	54	f	f	X
ejpam-5567	949	55	,	,	PUNCT
ejpam-5567	949	56	e	e	NOUN
ejpam-5567	949	57	)	)	PUNCT
ejpam-5567	949	58	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	949	59	,	,	PUNCT
ejpam-5567	949	60	e	e	NOUN
ejpam-5567	949	61	)	)	PUNCT
ejpam-5567	949	62	,	,	PUNCT
ejpam-5567	949	63	there	there	PRON
ejpam-5567	949	64	exists	exist	VERB
ejpam-5567	949	65	at	at	ADP
ejpam-5567	949	66	least	least	ADV
ejpam-5567	949	67	one	one	NUM
ejpam-5567	949	68	ternary	ternary	ADJ
ejpam-5567	949	69	soft	soft	ADJ
ejpam-5567	949	70	s	s	NOUN
ejpam-5567	949	71	-	-	ADJ
ejpam-5567	949	72	open	open	ADJ
ejpam-5567	949	73	set	set	NOUN
ejpam-5567	949	74	(	(	PUNCT
ejpam-5567	949	75	h	h	NOUN
ejpam-5567	949	76	,	,	PUNCT
ejpam-5567	949	77	e	e	NOUN
ejpam-5567	949	78	)	)	PUNCT
ejpam-5567	949	79	containing	contain	VERB
ejpam-5567	949	80	(	(	PUNCT
ejpam-5567	949	81	f	f	X
ejpam-5567	949	82	,	,	PUNCT
ejpam-5567	949	83	e	e	NOUN
ejpam-5567	949	84	)	)	PUNCT
ejpam-5567	949	85	such	such	ADJ
ejpam-5567	949	86	that	that	SCONJ
ejpam-5567	949	87	:	:	PUNCT
ejpam-5567	949	88	(	(	PUNCT
ejpam-5567	949	89	f	f	X
ejpam-5567	949	90	,	,	PUNCT
ejpam-5567	949	91	e	e	NOUN
ejpam-5567	949	92	)	)	PUNCT
ejpam-5567	949	93	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	949	94	,	,	PUNCT
ejpam-5567	949	95	e	e	X
ejpam-5567	949	96	)	)	PUNCT
ejpam-5567	949	97	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	949	98	,	,	PUNCT
ejpam-5567	949	99	e	e	NOUN
ejpam-5567	949	100	)	)	PUNCT
ejpam-5567	949	101	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	949	102	,	,	PUNCT
ejpam-5567	949	103	e	e	NOUN
ejpam-5567	949	104	)	)	PUNCT
ejpam-5567	949	105	.	.	PUNCT
ejpam-5567	950	1	proof	proof	NOUN
ejpam-5567	950	2	.	.	PUNCT
ejpam-5567	951	1	let	let	VERB
ejpam-5567	951	2	us	we	PRON
ejpam-5567	951	3	suppose	suppose	VERB
ejpam-5567	951	4	that	that	SCONJ
ejpam-5567	951	5	(	(	PUNCT
ejpam-5567	951	6	u1	u1	NOUN
ejpam-5567	951	7	,	,	PUNCT
ejpam-5567	951	8	u2	u2	NOUN
ejpam-5567	951	9	,	,	PUNCT
ejpam-5567	951	10	u3	u3	NOUN
ejpam-5567	951	11	,	,	PUNCT
ejpam-5567	951	12	τ∆	τ∆	NOUN
ejpam-5567	951	13	,	,	PUNCT
ejpam-5567	951	14	e	e	NOUN
ejpam-5567	951	15	)	)	PUNCT
ejpam-5567	951	16	is	be	AUX
ejpam-5567	951	17	a	a	DET
ejpam-5567	951	18	ternary	ternary	ADJ
ejpam-5567	951	19	soft	soft	ADJ
ejpam-5567	951	20	normal	normal	ADJ
ejpam-5567	951	21	space	space	NOUN
ejpam-5567	951	22	and	and	CCONJ
ejpam-5567	951	23	(	(	PUNCT
ejpam-5567	951	24	f	f	X
ejpam-5567	951	25	,	,	PUNCT
ejpam-5567	951	26	e	e	NOUN
ejpam-5567	951	27	)	)	PUNCT
ejpam-5567	951	28	is	be	AUX
ejpam-5567	951	29	any	any	DET
ejpam-5567	951	30	ternary	ternary	ADJ
ejpam-5567	951	31	soft	soft	ADJ
ejpam-5567	951	32	s	s	NOUN
ejpam-5567	951	33	-	-	PUNCT
ejpam-5567	951	34	closed	closed	ADJ
ejpam-5567	951	35	subset	subset	NOUN
ejpam-5567	951	36	of	of	ADP
ejpam-5567	951	37	(	(	PUNCT
ejpam-5567	951	38	u1	u1	PROPN
ejpam-5567	951	39	,	,	PUNCT
ejpam-5567	951	40	u2	u2	NOUN
ejpam-5567	951	41	,	,	PUNCT
ejpam-5567	951	42	u3	u3	NOUN
ejpam-5567	951	43	,	,	PUNCT
ejpam-5567	951	44	τ∆	τ∆	NOUN
ejpam-5567	951	45	,	,	PUNCT
ejpam-5567	951	46	e	e	NOUN
ejpam-5567	951	47	)	)	PUNCT
ejpam-5567	951	48	and	and	CCONJ
ejpam-5567	951	49	(	(	PUNCT
ejpam-5567	951	50	g	g	NOUN
ejpam-5567	951	51	,	,	PUNCT
ejpam-5567	951	52	e	e	NOUN
ejpam-5567	951	53	)	)	PUNCT
ejpam-5567	951	54	is	be	AUX
ejpam-5567	951	55	a	a	DET
ejpam-5567	951	56	ternary	ternary	ADJ
ejpam-5567	951	57	soft	soft	ADJ
ejpam-5567	951	58	s	s	NOUN
ejpam-5567	951	59	-	-	ADJ
ejpam-5567	951	60	open	open	ADJ
ejpam-5567	951	61	m.	m.	NOUN
ejpam-5567	951	62	nawaz	nawaz	NOUN
ejpam-5567	951	63	et	et	PROPN
ejpam-5567	951	64	al	al	PROPN
ejpam-5567	951	65	.	.	PUNCT
ejpam-5567	951	66	/	/	SYM
ejpam-5567	951	67	eur	eur	PROPN
ejpam-5567	951	68	.	.	PUNCT
ejpam-5567	952	1	j.	j.	PROPN
ejpam-5567	952	2	pure	pure	PROPN
ejpam-5567	952	3	appl	appl	PROPN
ejpam-5567	952	4	.	.	PROPN
ejpam-5567	952	5	math	math	PROPN
ejpam-5567	952	6	,	,	PUNCT
ejpam-5567	952	7	18	18	NUM
ejpam-5567	952	8	(	(	PUNCT
ejpam-5567	952	9	1	1	NUM
ejpam-5567	952	10	)	)	PUNCT
ejpam-5567	952	11	(	(	PUNCT
ejpam-5567	952	12	2025	2025	NUM
ejpam-5567	952	13	)	)	PUNCT
ejpam-5567	952	14	,	,	PUNCT
ejpam-5567	952	15	5567	5567	NUM
ejpam-5567	952	16	39	39	NUM
ejpam-5567	952	17	of	of	ADP
ejpam-5567	952	18	45	45	NUM
ejpam-5567	952	19	set	set	VERB
ejpam-5567	952	20	such	such	ADJ
ejpam-5567	952	21	that	that	SCONJ
ejpam-5567	952	22	(	(	PUNCT
ejpam-5567	952	23	f	f	X
ejpam-5567	952	24	,	,	PUNCT
ejpam-5567	952	25	e	e	NOUN
ejpam-5567	952	26	)	)	PUNCT
ejpam-5567	952	27	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	952	28	,	,	PUNCT
ejpam-5567	952	29	e	e	NOUN
ejpam-5567	952	30	)	)	PUNCT
ejpam-5567	952	31	.	.	PUNCT
ejpam-5567	953	1	then	then	ADV
ejpam-5567	953	2	(	(	PUNCT
ejpam-5567	953	3	g	g	NOUN
ejpam-5567	953	4	,	,	PUNCT
ejpam-5567	953	5	e)c	e)c	X
ejpam-5567	953	6	is	be	AUX
ejpam-5567	953	7	ternary	ternary	ADJ
ejpam-5567	953	8	soft	soft	ADJ
ejpam-5567	953	9	s	s	NOUN
ejpam-5567	953	10	-	-	PUNCT
ejpam-5567	953	11	closed	closed	ADJ
ejpam-5567	953	12	and	and	CCONJ
ejpam-5567	953	13	(	(	PUNCT
ejpam-5567	953	14	f	f	X
ejpam-5567	953	15	,	,	PUNCT
ejpam-5567	953	16	e)˜̃∩(g	e)˜̃∩(g	PROPN
ejpam-5567	953	17	,	,	PUNCT
ejpam-5567	953	18	e)c	e)c	X
ejpam-5567	953	19	=	=	NOUN
ejpam-5567	953	20	˜̃∅.	˜̃∅.	VERB
ejpam-5567	953	21	so	so	ADV
ejpam-5567	953	22	by	by	ADP
ejpam-5567	953	23	supposition	supposition	NOUN
ejpam-5567	953	24	,	,	PUNCT
ejpam-5567	953	25	there	there	PRON
ejpam-5567	953	26	are	be	VERB
ejpam-5567	953	27	ternary	ternary	ADJ
ejpam-5567	953	28	soft	soft	ADJ
ejpam-5567	953	29	s	s	NOUN
ejpam-5567	953	30	-	-	ADJ
ejpam-5567	953	31	open	open	ADJ
ejpam-5567	953	32	sets	set	NOUN
ejpam-5567	953	33	(	(	PUNCT
ejpam-5567	953	34	h	h	NOUN
ejpam-5567	953	35	,	,	PUNCT
ejpam-5567	953	36	e	e	NOUN
ejpam-5567	953	37	)	)	PUNCT
ejpam-5567	953	38	and	and	CCONJ
ejpam-5567	953	39	(	(	PUNCT
ejpam-5567	953	40	k	k	X
ejpam-5567	953	41	,	,	PUNCT
ejpam-5567	953	42	e	e	NOUN
ejpam-5567	953	43	)	)	PUNCT
ejpam-5567	953	44	such	such	ADJ
ejpam-5567	953	45	that	that	SCONJ
ejpam-5567	953	46	(	(	PUNCT
ejpam-5567	953	47	f	f	X
ejpam-5567	953	48	,	,	PUNCT
ejpam-5567	953	49	e	e	NOUN
ejpam-5567	953	50	)	)	PUNCT
ejpam-5567	953	51	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	953	52	,	,	PUNCT
ejpam-5567	953	53	e	e	NOUN
ejpam-5567	953	54	)	)	PUNCT
ejpam-5567	953	55	,	,	PUNCT
ejpam-5567	953	56	(	(	PUNCT
ejpam-5567	953	57	g	g	NOUN
ejpam-5567	953	58	,	,	PUNCT
ejpam-5567	953	59	e)c	e)c	X
ejpam-5567	953	60	˜̃⊆(k	˜̃⊆(k	NOUN
ejpam-5567	953	61	,	,	PUNCT
ejpam-5567	953	62	e	e	NOUN
ejpam-5567	953	63	)	)	PUNCT
ejpam-5567	953	64	,	,	PUNCT
ejpam-5567	953	65	and	and	CCONJ
ejpam-5567	953	66	(	(	PUNCT
ejpam-5567	953	67	h	h	NOUN
ejpam-5567	953	68	,	,	PUNCT
ejpam-5567	953	69	e)˜̃∩(k	e)˜̃∩(k	PROPN
ejpam-5567	953	70	,	,	PUNCT
ejpam-5567	953	71	e	e	NOUN
ejpam-5567	953	72	)	)	PUNCT
ejpam-5567	954	1	=	=	SYM
ejpam-5567	954	2	˜̃∅.	˜̃∅.	PROPN
ejpam-5567	954	3	since	since	SCONJ
ejpam-5567	954	4	(	(	PUNCT
ejpam-5567	954	5	h	h	NOUN
ejpam-5567	954	6	,	,	PUNCT
ejpam-5567	954	7	e)˜̃∩(k	e)˜̃∩(k	PROPN
ejpam-5567	954	8	,	,	PUNCT
ejpam-5567	954	9	e	e	NOUN
ejpam-5567	954	10	)	)	PUNCT
ejpam-5567	954	11	=	=	SYM
ejpam-5567	954	12	˜̃∅	˜̃∅	NOUN
ejpam-5567	954	13	,	,	PUNCT
ejpam-5567	954	14	(	(	PUNCT
ejpam-5567	954	15	h	h	NOUN
ejpam-5567	954	16	,	,	PUNCT
ejpam-5567	954	17	e	e	NOUN
ejpam-5567	954	18	)	)	PUNCT
ejpam-5567	954	19	˜̃⊆(k	˜̃⊆(k	PROPN
ejpam-5567	954	20	,	,	PUNCT
ejpam-5567	954	21	e)c	e)c	X
ejpam-5567	954	22	.	.	PUNCT
ejpam-5567	955	1	but	but	CCONJ
ejpam-5567	955	2	(	(	PUNCT
ejpam-5567	955	3	k	k	NOUN
ejpam-5567	955	4	,	,	PUNCT
ejpam-5567	955	5	e)c	e)c	X
ejpam-5567	955	6	is	be	AUX
ejpam-5567	955	7	ternary	ternary	ADJ
ejpam-5567	955	8	soft	soft	ADJ
ejpam-5567	955	9	s	s	NOUN
ejpam-5567	955	10	-	-	PUNCT
ejpam-5567	955	11	closed	closed	ADJ
ejpam-5567	955	12	,	,	PUNCT
ejpam-5567	955	13	so	so	SCONJ
ejpam-5567	955	14	that	that	SCONJ
ejpam-5567	955	15	:	:	PUNCT
ejpam-5567	955	16	(	(	PUNCT
ejpam-5567	955	17	f	f	X
ejpam-5567	955	18	,	,	PUNCT
ejpam-5567	955	19	e	e	NOUN
ejpam-5567	955	20	)	)	PUNCT
ejpam-5567	955	21	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	955	22	,	,	PUNCT
ejpam-5567	955	23	e	e	X
ejpam-5567	955	24	)	)	PUNCT
ejpam-5567	955	25	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	955	26	,	,	PUNCT
ejpam-5567	955	27	e	e	NOUN
ejpam-5567	955	28	)	)	PUNCT
ejpam-5567	955	29	˜̃⊆(k	˜̃⊆(k	PROPN
ejpam-5567	955	30	,	,	PUNCT
ejpam-5567	955	31	e)c	e)c	X
ejpam-5567	955	32	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	955	33	,	,	PUNCT
ejpam-5567	955	34	e	e	NOUN
ejpam-5567	955	35	)	)	PUNCT
ejpam-5567	955	36	.	.	PUNCT
ejpam-5567	956	1	hence	hence	ADV
ejpam-5567	956	2	,	,	PUNCT
ejpam-5567	956	3	(	(	PUNCT
ejpam-5567	956	4	f	f	X
ejpam-5567	956	5	,	,	PUNCT
ejpam-5567	956	6	e	e	NOUN
ejpam-5567	956	7	)	)	PUNCT
ejpam-5567	956	8	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	956	9	,	,	PUNCT
ejpam-5567	956	10	e	e	X
ejpam-5567	956	11	)	)	PUNCT
ejpam-5567	956	12	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	956	13	,	,	PUNCT
ejpam-5567	956	14	e	e	NOUN
ejpam-5567	956	15	)	)	PUNCT
ejpam-5567	956	16	˜̃⊆(k	˜̃⊆(k	PROPN
ejpam-5567	956	17	,	,	PUNCT
ejpam-5567	956	18	e)c	e)c	X
ejpam-5567	956	19	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	956	20	,	,	PUNCT
ejpam-5567	956	21	e	e	NOUN
ejpam-5567	956	22	)	)	PUNCT
ejpam-5567	956	23	.	.	PUNCT
ejpam-5567	957	1	conversely	conversely	ADV
ejpam-5567	957	2	,	,	PUNCT
ejpam-5567	957	3	suppose	suppose	VERB
ejpam-5567	957	4	that	that	SCONJ
ejpam-5567	957	5	for	for	ADP
ejpam-5567	957	6	every	every	DET
ejpam-5567	957	7	ternary	ternary	ADJ
ejpam-5567	957	8	soft	soft	ADJ
ejpam-5567	957	9	s	s	NOUN
ejpam-5567	957	10	-	-	PUNCT
ejpam-5567	957	11	closed	closed	ADJ
ejpam-5567	957	12	set	set	NOUN
ejpam-5567	957	13	(	(	PUNCT
ejpam-5567	957	14	f	f	X
ejpam-5567	957	15	,	,	PUNCT
ejpam-5567	957	16	e	e	NOUN
ejpam-5567	957	17	)	)	PUNCT
ejpam-5567	957	18	and	and	CCONJ
ejpam-5567	957	19	a	a	DET
ejpam-5567	957	20	ternary	ternary	ADJ
ejpam-5567	957	21	soft	soft	ADJ
ejpam-5567	957	22	s	s	NOUN
ejpam-5567	957	23	-	-	ADJ
ejpam-5567	957	24	open	open	ADJ
ejpam-5567	957	25	set	set	NOUN
ejpam-5567	957	26	(	(	PUNCT
ejpam-5567	957	27	g	g	NOUN
ejpam-5567	957	28	,	,	PUNCT
ejpam-5567	957	29	e	e	NOUN
ejpam-5567	957	30	)	)	PUNCT
ejpam-5567	957	31	such	such	ADJ
ejpam-5567	957	32	that	that	SCONJ
ejpam-5567	957	33	(	(	PUNCT
ejpam-5567	957	34	f	f	X
ejpam-5567	957	35	,	,	PUNCT
ejpam-5567	957	36	e	e	NOUN
ejpam-5567	957	37	)	)	PUNCT
ejpam-5567	957	38	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	957	39	,	,	PUNCT
ejpam-5567	957	40	e	e	NOUN
ejpam-5567	957	41	)	)	PUNCT
ejpam-5567	957	42	,	,	PUNCT
ejpam-5567	957	43	there	there	PRON
ejpam-5567	957	44	is	be	VERB
ejpam-5567	957	45	a	a	DET
ejpam-5567	957	46	ternary	ternary	ADJ
ejpam-5567	957	47	soft	soft	ADJ
ejpam-5567	957	48	s	s	NOUN
ejpam-5567	957	49	-	-	ADJ
ejpam-5567	957	50	open	open	ADJ
ejpam-5567	957	51	set	set	NOUN
ejpam-5567	957	52	(	(	PUNCT
ejpam-5567	957	53	h	h	NOUN
ejpam-5567	957	54	,	,	PUNCT
ejpam-5567	957	55	e	e	NOUN
ejpam-5567	957	56	)	)	PUNCT
ejpam-5567	957	57	such	such	ADJ
ejpam-5567	957	58	that	that	SCONJ
ejpam-5567	957	59	:	:	PUNCT
ejpam-5567	957	60	(	(	PUNCT
ejpam-5567	957	61	f	f	X
ejpam-5567	957	62	,	,	PUNCT
ejpam-5567	957	63	e	e	NOUN
ejpam-5567	957	64	)	)	PUNCT
ejpam-5567	957	65	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	957	66	,	,	PUNCT
ejpam-5567	957	67	e	e	X
ejpam-5567	957	68	)	)	PUNCT
ejpam-5567	957	69	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	957	70	,	,	PUNCT
ejpam-5567	957	71	e	e	NOUN
ejpam-5567	957	72	)	)	PUNCT
ejpam-5567	957	73	˜̃⊆(g	˜̃⊆(g	PROPN
ejpam-5567	957	74	,	,	PUNCT
ejpam-5567	957	75	e	e	NOUN
ejpam-5567	957	76	)	)	PUNCT
ejpam-5567	957	77	.	.	PUNCT
ejpam-5567	958	1	let	let	VERB
ejpam-5567	958	2	(	(	PUNCT
ejpam-5567	958	3	f1	f1	NOUN
ejpam-5567	958	4	,	,	PUNCT
ejpam-5567	958	5	e	e	NOUN
ejpam-5567	958	6	)	)	PUNCT
ejpam-5567	958	7	,	,	PUNCT
ejpam-5567	958	8	(	(	PUNCT
ejpam-5567	958	9	f2	f2	X
ejpam-5567	958	10	,	,	PUNCT
ejpam-5567	958	11	e	e	NOUN
ejpam-5567	958	12	)	)	PUNCT
ejpam-5567	958	13	be	be	VERB
ejpam-5567	958	14	any	any	DET
ejpam-5567	958	15	two	two	NUM
ejpam-5567	958	16	soft	soft	ADJ
ejpam-5567	958	17	disjoint	disjoint	NOUN
ejpam-5567	958	18	s	s	NOUN
ejpam-5567	958	19	-	-	PUNCT
ejpam-5567	958	20	closed	closed	ADJ
ejpam-5567	958	21	sets	set	NOUN
ejpam-5567	958	22	,	,	PUNCT
ejpam-5567	958	23	then	then	ADV
ejpam-5567	958	24	(	(	PUNCT
ejpam-5567	958	25	f1	f1	NOUN
ejpam-5567	958	26	,	,	PUNCT
ejpam-5567	958	27	e	e	NOUN
ejpam-5567	958	28	)	)	PUNCT
ejpam-5567	958	29	˜̃⊆(f2	˜̃⊆(f2	NOUN
ejpam-5567	958	30	,	,	PUNCT
ejpam-5567	958	31	e)c	e)c	X
ejpam-5567	958	32	where	where	SCONJ
ejpam-5567	958	33	(	(	PUNCT
ejpam-5567	958	34	f2	f2	PROPN
ejpam-5567	958	35	,	,	PUNCT
ejpam-5567	958	36	e)c	e)c	X
ejpam-5567	958	37	is	be	AUX
ejpam-5567	958	38	ternary	ternary	ADJ
ejpam-5567	958	39	soft	soft	ADJ
ejpam-5567	958	40	s	s	NOUN
ejpam-5567	958	41	-	-	NOUN
ejpam-5567	958	42	open	open	ADJ
ejpam-5567	958	43	.	.	PUNCT
ejpam-5567	959	1	hence	hence	ADV
ejpam-5567	959	2	,	,	PUNCT
ejpam-5567	959	3	there	there	PRON
ejpam-5567	959	4	is	be	VERB
ejpam-5567	959	5	a	a	DET
ejpam-5567	959	6	ternary	ternary	ADJ
ejpam-5567	959	7	soft	soft	ADJ
ejpam-5567	959	8	s	s	NOUN
ejpam-5567	959	9	-	-	ADJ
ejpam-5567	959	10	open	open	ADJ
ejpam-5567	959	11	set	set	NOUN
ejpam-5567	959	12	(	(	PUNCT
ejpam-5567	959	13	h	h	NOUN
ejpam-5567	959	14	,	,	PUNCT
ejpam-5567	959	15	e	e	NOUN
ejpam-5567	959	16	)	)	PUNCT
ejpam-5567	959	17	such	such	ADJ
ejpam-5567	959	18	that	that	SCONJ
ejpam-5567	959	19	:	:	PUNCT
ejpam-5567	959	20	(	(	PUNCT
ejpam-5567	959	21	f	f	X
ejpam-5567	959	22	,	,	PUNCT
ejpam-5567	959	23	e	e	NOUN
ejpam-5567	959	24	)	)	PUNCT
ejpam-5567	959	25	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	959	26	,	,	PUNCT
ejpam-5567	959	27	e	e	X
ejpam-5567	959	28	)	)	PUNCT
ejpam-5567	959	29	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	959	30	,	,	PUNCT
ejpam-5567	959	31	e	e	NOUN
ejpam-5567	959	32	)	)	PUNCT
ejpam-5567	959	33	˜̃⊆(f2	˜̃⊆(f2	NOUN
ejpam-5567	959	34	,	,	PUNCT
ejpam-5567	959	35	e)c	e)c	PUNCT
ejpam-5567	959	36	.	.	PUNCT
ejpam-5567	960	1	but	but	CCONJ
ejpam-5567	960	2	then	then	ADV
ejpam-5567	960	3	(	(	PUNCT
ejpam-5567	960	4	f2	f2	PROPN
ejpam-5567	960	5	,	,	PUNCT
ejpam-5567	960	6	e	e	NOUN
ejpam-5567	960	7	)	)	PUNCT
ejpam-5567	960	8	˜̃⊆((h	˜̃⊆((h	PROPN
ejpam-5567	960	9	,	,	PUNCT
ejpam-5567	960	10	e))c	e))c	NOUN
ejpam-5567	960	11	and	and	CCONJ
ejpam-5567	960	12	(	(	PUNCT
ejpam-5567	960	13	h	h	NOUN
ejpam-5567	960	14	,	,	PUNCT
ejpam-5567	960	15	e)˜̃∩((h	e)˜̃∩((h	NOUN
ejpam-5567	960	16	,	,	PUNCT
ejpam-5567	960	17	e))c	e))c	VERB
ejpam-5567	960	18	̸=	̸=	PROPN
ejpam-5567	960	19	∅.	∅.	PRON
ejpam-5567	960	20	hence	hence	ADV
ejpam-5567	960	21	,	,	PUNCT
ejpam-5567	960	22	(	(	PUNCT
ejpam-5567	960	23	f1	f1	NOUN
ejpam-5567	960	24	,	,	PUNCT
ejpam-5567	960	25	e	e	NOUN
ejpam-5567	960	26	)	)	PUNCT
ejpam-5567	960	27	˜̃⊆(h	˜̃⊆(h	PROPN
ejpam-5567	960	28	,	,	PUNCT
ejpam-5567	960	29	e	e	NOUN
ejpam-5567	960	30	)	)	PUNCT
ejpam-5567	960	31	and	and	CCONJ
ejpam-5567	960	32	(	(	PUNCT
ejpam-5567	960	33	f2	f2	PROPN
ejpam-5567	960	34	,	,	PUNCT
ejpam-5567	960	35	e	e	NOUN
ejpam-5567	960	36	)	)	PUNCT
ejpam-5567	960	37	˜̃⊆((h	˜̃⊆((h	PROPN
ejpam-5567	960	38	,	,	PUNCT
ejpam-5567	960	39	e))c	e))c	VERB
ejpam-5567	960	40	with	with	ADP
ejpam-5567	960	41	(	(	PUNCT
ejpam-5567	960	42	h	h	NOUN
ejpam-5567	960	43	,	,	PUNCT
ejpam-5567	960	44	e)˜̃∩((h	e)˜̃∩((h	NOUN
ejpam-5567	960	45	,	,	PUNCT
ejpam-5567	960	46	e))c	e))c	NOUN
ejpam-5567	960	47	=	=	PUNCT
ejpam-5567	960	48	∅.	∅.	VERB
ejpam-5567	960	49	hence	hence	ADV
ejpam-5567	960	50	,	,	PUNCT
ejpam-5567	960	51	(	(	PUNCT
ejpam-5567	960	52	u1	u1	NOUN
ejpam-5567	960	53	,	,	PUNCT
ejpam-5567	960	54	u2	u2	NOUN
ejpam-5567	960	55	,	,	PUNCT
ejpam-5567	960	56	u3	u3	NOUN
ejpam-5567	960	57	,	,	PUNCT
ejpam-5567	960	58	τ∆	τ∆	NOUN
ejpam-5567	960	59	,	,	PUNCT
ejpam-5567	960	60	e	e	NOUN
ejpam-5567	960	61	)	)	PUNCT
ejpam-5567	960	62	is	be	AUX
ejpam-5567	960	63	a	a	DET
ejpam-5567	960	64	ternary	ternary	ADJ
ejpam-5567	960	65	soft	soft	ADJ
ejpam-5567	960	66	s	s	NOUN
ejpam-5567	960	67	-	-	ADJ
ejpam-5567	960	68	normal	normal	ADJ
ejpam-5567	960	69	space	space	NOUN
ejpam-5567	960	70	.	.	PUNCT
ejpam-5567	961	1	9	9	X
ejpam-5567	961	2	.	.	X
ejpam-5567	961	3	comparative	comparative	ADJ
ejpam-5567	961	4	analysis	analysis	NOUN
ejpam-5567	961	5	the	the	DET
ejpam-5567	961	6	following	follow	VERB
ejpam-5567	961	7	table	table	NOUN
ejpam-5567	961	8	2	2	NUM
ejpam-5567	961	9	provides	provide	VERB
ejpam-5567	961	10	a	a	DET
ejpam-5567	961	11	detailed	detailed	ADJ
ejpam-5567	961	12	comparative	comparative	ADJ
ejpam-5567	961	13	analysis	analysis	NOUN
ejpam-5567	961	14	of	of	ADP
ejpam-5567	961	15	the	the	DET
ejpam-5567	961	16	proposed	propose	VERB
ejpam-5567	961	17	methods	method	NOUN
ejpam-5567	961	18	,	,	PUNCT
ejpam-5567	961	19	contrasting	contrast	VERB
ejpam-5567	961	20	them	they	PRON
ejpam-5567	961	21	with	with	ADP
ejpam-5567	961	22	the	the	DET
ejpam-5567	961	23	established	establish	VERB
ejpam-5567	961	24	techniques	technique	NOUN
ejpam-5567	961	25	discussed	discuss	VERB
ejpam-5567	961	26	in	in	ADP
ejpam-5567	961	27	reference	reference	NOUN
ejpam-5567	961	28	[	[	X
ejpam-5567	961	29	14	14	NUM
ejpam-5567	961	30	]	]	PUNCT
ejpam-5567	961	31	.	.	PUNCT
ejpam-5567	962	1	this	this	DET
ejpam-5567	962	2	comparison	comparison	NOUN
ejpam-5567	962	3	highlights	highlight	VERB
ejpam-5567	962	4	the	the	DET
ejpam-5567	962	5	strengths	strength	NOUN
ejpam-5567	962	6	and	and	CCONJ
ejpam-5567	962	7	weaknesses	weakness	NOUN
ejpam-5567	962	8	of	of	ADP
ejpam-5567	962	9	each	each	DET
ejpam-5567	962	10	approach	approach	NOUN
ejpam-5567	962	11	,	,	PUNCT
ejpam-5567	962	12	offering	offer	VERB
ejpam-5567	962	13	insights	insight	NOUN
ejpam-5567	962	14	into	into	ADP
ejpam-5567	962	15	how	how	SCONJ
ejpam-5567	962	16	the	the	DET
ejpam-5567	962	17	proposed	propose	VERB
ejpam-5567	962	18	methods	method	NOUN
ejpam-5567	962	19	perform	perform	VERB
ejpam-5567	962	20	relative	relative	ADJ
ejpam-5567	962	21	to	to	ADP
ejpam-5567	962	22	the	the	DET
ejpam-5567	962	23	established	establish	VERB
ejpam-5567	962	24	techniques	technique	NOUN
ejpam-5567	962	25	across	across	ADP
ejpam-5567	962	26	various	various	ADJ
ejpam-5567	962	27	key	key	ADJ
ejpam-5567	962	28	factors	factor	NOUN
ejpam-5567	962	29	:	:	PUNCT
ejpam-5567	962	30	aspect	aspect	VERB
ejpam-5567	962	31	binary	binary	ADJ
ejpam-5567	962	32	soft	soft	ADJ
ejpam-5567	962	33	axioms	axiom	NOUN
ejpam-5567	962	34	(	(	PUNCT
ejpam-5567	962	35	published	publish	VERB
ejpam-5567	962	36	work)[14	work)[14	PROPN
ejpam-5567	962	37	]	]	PUNCT
ejpam-5567	962	38	ternary	ternary	ADJ
ejpam-5567	962	39	soft	soft	ADJ
ejpam-5567	962	40	semi	semi	ADJ
ejpam-5567	962	41	-	-	ADJ
ejpam-5567	962	42	separation	separation	NOUN
ejpam-5567	962	43	axioms	axiom	NOUN
ejpam-5567	962	44	(	(	PUNCT
ejpam-5567	962	45	proposed	propose	VERB
ejpam-5567	962	46	method	method	NOUN
ejpam-5567	962	47	)	)	PUNCT
ejpam-5567	962	48	1	1	NUM
ejpam-5567	962	49	.	.	PUNCT
ejpam-5567	962	50	focus	focus	NOUN
ejpam-5567	962	51	study	study	NOUN
ejpam-5567	962	52	of	of	ADP
ejpam-5567	962	53	binary	binary	ADJ
ejpam-5567	962	54	soft	soft	ADJ
ejpam-5567	962	55	sets	set	NOUN
ejpam-5567	962	56	and	and	CCONJ
ejpam-5567	962	57	their	their	PRON
ejpam-5567	962	58	application	application	NOUN
ejpam-5567	962	59	in	in	ADP
ejpam-5567	962	60	binary	binary	ADJ
ejpam-5567	962	61	soft	soft	ADJ
ejpam-5567	962	62	topological	topological	ADJ
ejpam-5567	962	63	spaces	space	NOUN
ejpam-5567	962	64	.	.	PUNCT
ejpam-5567	963	1	study	study	NOUN
ejpam-5567	963	2	of	of	ADP
ejpam-5567	963	3	ternary	ternary	ADJ
ejpam-5567	963	4	soft	soft	ADJ
ejpam-5567	963	5	sets	set	NOUN
ejpam-5567	963	6	and	and	CCONJ
ejpam-5567	963	7	their	their	PRON
ejpam-5567	963	8	application	application	NOUN
ejpam-5567	963	9	in	in	ADP
ejpam-5567	963	10	ternary	ternary	ADJ
ejpam-5567	963	11	soft	soft	ADJ
ejpam-5567	963	12	topological	topological	ADJ
ejpam-5567	963	13	spaces	space	NOUN
ejpam-5567	963	14	.	.	PUNCT
ejpam-5567	964	1	2	2	X
ejpam-5567	964	2	.	.	X
ejpam-5567	964	3	main	main	ADJ
ejpam-5567	964	4	objective	objective	ADJ
ejpam-5567	964	5	define	define	NOUN
ejpam-5567	964	6	separation	separation	NOUN
ejpam-5567	964	7	axioms	axiom	NOUN
ejpam-5567	964	8	,	,	PUNCT
ejpam-5567	964	9	explore	explore	VERB
ejpam-5567	964	10	their	their	PRON
ejpam-5567	964	11	properties	property	NOUN
ejpam-5567	964	12	,	,	PUNCT
ejpam-5567	964	13	and	and	CCONJ
ejpam-5567	964	14	establish	establish	VERB
ejpam-5567	964	15	relationships	relationship	NOUN
ejpam-5567	964	16	.	.	PUNCT
ejpam-5567	965	1	introduce	introduce	VERB
ejpam-5567	965	2	ternary	ternary	ADJ
ejpam-5567	965	3	soft	soft	ADJ
ejpam-5567	965	4	semiseparation	semiseparation	NOUN
ejpam-5567	965	5	axioms	axiom	NOUN
ejpam-5567	965	6	and	and	CCONJ
ejpam-5567	965	7	explore	explore	VERB
ejpam-5567	965	8	related	related	ADJ
ejpam-5567	965	9	properties	property	NOUN
ejpam-5567	965	10	in	in	ADP
ejpam-5567	965	11	ternary	ternary	ADJ
ejpam-5567	965	12	soft	soft	ADJ
ejpam-5567	965	13	topologies	topology	NOUN
ejpam-5567	965	14	.	.	PUNCT
ejpam-5567	966	1	m.	m.	NOUN
ejpam-5567	966	2	nawaz	nawaz	PROPN
ejpam-5567	966	3	et	et	PROPN
ejpam-5567	966	4	al	al	PROPN
ejpam-5567	966	5	.	.	PUNCT
ejpam-5567	966	6	/	/	SYM
ejpam-5567	966	7	eur	eur	PROPN
ejpam-5567	966	8	.	.	PUNCT
ejpam-5567	967	1	j.	j.	PROPN
ejpam-5567	967	2	pure	pure	PROPN
ejpam-5567	967	3	appl	appl	PROPN
ejpam-5567	967	4	.	.	PROPN
ejpam-5567	967	5	math	math	PROPN
ejpam-5567	967	6	,	,	PUNCT
ejpam-5567	967	7	18	18	NUM
ejpam-5567	967	8	(	(	PUNCT
ejpam-5567	967	9	1	1	NUM
ejpam-5567	967	10	)	)	PUNCT
ejpam-5567	967	11	(	(	PUNCT
ejpam-5567	967	12	2025	2025	NUM
ejpam-5567	967	13	)	)	PUNCT
ejpam-5567	967	14	,	,	PUNCT
ejpam-5567	967	15	5567	5567	NUM
ejpam-5567	967	16	40	40	NUM
ejpam-5567	967	17	of	of	ADP
ejpam-5567	967	18	45	45	NUM
ejpam-5567	967	19	aspect	aspect	NOUN
ejpam-5567	967	20	binary	binary	ADJ
ejpam-5567	967	21	soft	soft	ADJ
ejpam-5567	967	22	axioms	axiom	NOUN
ejpam-5567	967	23	(	(	PUNCT
ejpam-5567	967	24	published	publish	VERB
ejpam-5567	967	25	work)[14	work)[14	PROPN
ejpam-5567	967	26	]	]	PUNCT
ejpam-5567	967	27	ternary	ternary	ADJ
ejpam-5567	967	28	soft	soft	ADJ
ejpam-5567	967	29	semi	semi	ADJ
ejpam-5567	967	30	-	-	ADJ
ejpam-5567	967	31	separation	separation	NOUN
ejpam-5567	967	32	axioms	axiom	NOUN
ejpam-5567	967	33	(	(	PUNCT
ejpam-5567	967	34	proposed	propose	VERB
ejpam-5567	967	35	method	method	NOUN
ejpam-5567	967	36	)	)	PUNCT
ejpam-5567	967	37	3	3	NUM
ejpam-5567	967	38	.	.	X
ejpam-5567	967	39	type	type	NOUN
ejpam-5567	967	40	of	of	ADP
ejpam-5567	967	41	axioms	axiom	NOUN
ejpam-5567	967	42	introduced	introduce	VERB
ejpam-5567	967	43	binary	binary	ADJ
ejpam-5567	967	44	soft	soft	ADJ
ejpam-5567	967	45	separation	separation	NOUN
ejpam-5567	967	46	axioms	axiom	NOUN
ejpam-5567	967	47	(	(	PUNCT
ejpam-5567	967	48	e.g.	e.g.	ADV
ejpam-5567	967	49	,	,	PUNCT
ejpam-5567	967	50	τ∆i	τ∆i	ADJ
ejpam-5567	967	51	)	)	PUNCT
ejpam-5567	967	52	and	and	CCONJ
ejpam-5567	967	53	their	their	PRON
ejpam-5567	967	54	variants	variant	NOUN
ejpam-5567	967	55	like	like	ADP
ejpam-5567	967	56	preregular	preregular	ADJ
ejpam-5567	967	57	,	,	PUNCT
ejpam-5567	967	58	pre	pre	ADJ
ejpam-5567	967	59	-	-	ADJ
ejpam-5567	967	60	normal	normal	ADJ
ejpam-5567	967	61	.	.	PUNCT
ejpam-5567	968	1	ternary	ternary	ADJ
ejpam-5567	968	2	soft	soft	ADJ
ejpam-5567	968	3	semi	semi	ADJ
ejpam-5567	968	4	-	-	ADJ
ejpam-5567	968	5	separation	separation	NOUN
ejpam-5567	968	6	axioms	axiom	NOUN
ejpam-5567	968	7	(	(	PUNCT
ejpam-5567	968	8	e.g.	e.g.	ADV
ejpam-5567	968	9	,	,	PUNCT
ejpam-5567	968	10	τ∆i	τ∆i	ADJ
ejpam-5567	968	11	,	,	PUNCT
ejpam-5567	968	12	semi	semi	ADJ
ejpam-5567	968	13	-	-	ADJ
ejpam-5567	968	14	regular	regular	ADJ
ejpam-5567	968	15	,	,	PUNCT
ejpam-5567	968	16	semi	semi	ADJ
ejpam-5567	968	17	-	-	ADJ
ejpam-5567	968	18	normal	normal	ADJ
ejpam-5567	968	19	,	,	PUNCT
ejpam-5567	968	20	τ∆i	τ∆i	ADJ
ejpam-5567	968	21	)	)	PUNCT
ejpam-5567	968	22	.	.	PUNCT
ejpam-5567	969	1	4	4	X
ejpam-5567	969	2	.	.	X
ejpam-5567	969	3	properties	property	NOUN
ejpam-5567	969	4	studied	study	VERB
ejpam-5567	969	5	properties	property	NOUN
ejpam-5567	969	6	of	of	ADP
ejpam-5567	969	7	binary	binary	ADJ
ejpam-5567	969	8	soft	soft	ADJ
ejpam-5567	969	9	topological	topological	ADJ
ejpam-5567	969	10	spaces	space	NOUN
ejpam-5567	969	11	,	,	PUNCT
ejpam-5567	969	12	including	include	VERB
ejpam-5567	969	13	regularity	regularity	NOUN
ejpam-5567	969	14	,	,	PUNCT
ejpam-5567	969	15	normality	normality	NOUN
ejpam-5567	969	16	,	,	PUNCT
ejpam-5567	969	17	and	and	CCONJ
ejpam-5567	969	18	invariance	invariance	NOUN
ejpam-5567	969	19	properties	property	NOUN
ejpam-5567	969	20	.	.	PUNCT
ejpam-5567	970	1	properties	property	NOUN
ejpam-5567	970	2	of	of	ADP
ejpam-5567	970	3	ternary	ternary	ADJ
ejpam-5567	970	4	soft	soft	ADJ
ejpam-5567	970	5	topological	topological	ADJ
ejpam-5567	970	6	spaces	space	NOUN
ejpam-5567	970	7	,	,	PUNCT
ejpam-5567	970	8	such	such	ADJ
ejpam-5567	970	9	as	as	ADP
ejpam-5567	970	10	ternary	ternary	ADJ
ejpam-5567	970	11	soft	soft	ADJ
ejpam-5567	970	12	semiregular	semiregular	NOUN
ejpam-5567	970	13	,	,	PUNCT
ejpam-5567	970	14	ternary	ternary	ADJ
ejpam-5567	970	15	soft	soft	ADJ
ejpam-5567	970	16	semi	semi	ADJ
ejpam-5567	970	17	-	-	ADJ
ejpam-5567	970	18	normal	normal	ADJ
ejpam-5567	970	19	,	,	PUNCT
ejpam-5567	970	20	and	and	CCONJ
ejpam-5567	970	21	other	other	ADJ
ejpam-5567	970	22	invariance	invariance	NOUN
ejpam-5567	970	23	properties	property	NOUN
ejpam-5567	970	24	.	.	PUNCT
ejpam-5567	971	1	5	5	X
ejpam-5567	971	2	.	.	X
ejpam-5567	971	3	relationship	relationship	NOUN
ejpam-5567	971	4	with	with	ADP
ejpam-5567	971	5	general	general	ADJ
ejpam-5567	971	6	topology	topology	NOUN
ejpam-5567	971	7	explores	explore	VERB
ejpam-5567	971	8	the	the	DET
ejpam-5567	971	9	relationship	relationship	NOUN
ejpam-5567	971	10	between	between	ADP
ejpam-5567	971	11	binary	binary	NOUN
ejpam-5567	971	12	soft	soft	ADJ
ejpam-5567	971	13	topology	topology	NOUN
ejpam-5567	971	14	and	and	CCONJ
ejpam-5567	971	15	general	general	ADJ
ejpam-5567	971	16	topology	topology	NOUN
ejpam-5567	971	17	.	.	PUNCT
ejpam-5567	972	1	no	no	DET
ejpam-5567	972	2	direct	direct	ADJ
ejpam-5567	972	3	mention	mention	NOUN
ejpam-5567	972	4	of	of	ADP
ejpam-5567	972	5	relationship	relationship	NOUN
ejpam-5567	972	6	with	with	ADP
ejpam-5567	972	7	general	general	ADJ
ejpam-5567	972	8	topology	topology	NOUN
ejpam-5567	972	9	;	;	PUNCT
ejpam-5567	972	10	focuses	focus	VERB
ejpam-5567	972	11	on	on	ADP
ejpam-5567	972	12	ternary	ternary	ADJ
ejpam-5567	972	13	soft	soft	ADJ
ejpam-5567	972	14	topologies	topology	NOUN
ejpam-5567	972	15	.	.	PUNCT
ejpam-5567	973	1	6	6	X
ejpam-5567	973	2	.	.	X
ejpam-5567	973	3	invariance	invariance	NOUN
ejpam-5567	973	4	properties	property	NOUN
ejpam-5567	973	5	discusses	discuss	VERB
ejpam-5567	973	6	binary	binary	ADJ
ejpam-5567	973	7	soft	soft	ADJ
ejpam-5567	973	8	invariance	invariance	NOUN
ejpam-5567	973	9	properties	property	NOUN
ejpam-5567	973	10	like	like	ADP
ejpam-5567	973	11	topological	topological	ADJ
ejpam-5567	973	12	and	and	CCONJ
ejpam-5567	973	13	hereditary	hereditary	ADJ
ejpam-5567	973	14	properties	property	NOUN
ejpam-5567	973	15	.	.	PUNCT
ejpam-5567	974	1	discusses	discuss	VERB
ejpam-5567	974	2	ternary	ternary	ADJ
ejpam-5567	974	3	soft	soft	ADJ
ejpam-5567	974	4	invariance	invariance	NOUN
ejpam-5567	974	5	properties	property	NOUN
ejpam-5567	974	6	,	,	PUNCT
ejpam-5567	974	7	such	such	ADJ
ejpam-5567	974	8	as	as	ADP
ejpam-5567	974	9	ternary	ternary	ADJ
ejpam-5567	974	10	soft	soft	ADJ
ejpam-5567	974	11	topological	topological	ADJ
ejpam-5567	974	12	property	property	NOUN
ejpam-5567	974	13	and	and	CCONJ
ejpam-5567	974	14	ternary	ternary	ADJ
ejpam-5567	974	15	soft	soft	ADJ
ejpam-5567	974	16	hereditary	hereditary	ADJ
ejpam-5567	974	17	property	property	NOUN
ejpam-5567	974	18	.	.	PUNCT
ejpam-5567	975	1	7	7	X
ejpam-5567	975	2	.	.	X
ejpam-5567	975	3	scope	scope	NOUN
ejpam-5567	975	4	of	of	ADP
ejpam-5567	975	5	study	study	NOUN
ejpam-5567	975	6	general	general	ADJ
ejpam-5567	975	7	study	study	NOUN
ejpam-5567	975	8	of	of	ADP
ejpam-5567	975	9	binary	binary	PROPN
ejpam-5567	975	10	soft	soft	ADJ
ejpam-5567	975	11	topological	topological	ADJ
ejpam-5567	975	12	spaces	space	NOUN
ejpam-5567	975	13	and	and	CCONJ
ejpam-5567	975	14	their	their	PRON
ejpam-5567	975	15	separation	separation	NOUN
ejpam-5567	975	16	axioms	axiom	VERB
ejpam-5567	975	17	.	.	PUNCT
ejpam-5567	976	1	focus	focus	VERB
ejpam-5567	976	2	on	on	ADP
ejpam-5567	976	3	ternary	ternary	ADJ
ejpam-5567	976	4	soft	soft	ADJ
ejpam-5567	976	5	semiseparation	semiseparation	NOUN
ejpam-5567	976	6	axioms	axiom	NOUN
ejpam-5567	976	7	and	and	CCONJ
ejpam-5567	976	8	their	their	PRON
ejpam-5567	976	9	implications	implication	NOUN
ejpam-5567	976	10	in	in	ADP
ejpam-5567	976	11	ternary	ternary	ADJ
ejpam-5567	976	12	soft	soft	ADJ
ejpam-5567	976	13	spaces	space	NOUN
ejpam-5567	976	14	.	.	PUNCT
ejpam-5567	977	1	8	8	X
ejpam-5567	977	2	.	.	PUNCT
ejpam-5567	977	3	applications	application	NOUN
ejpam-5567	977	4	theoretical	theoretical	ADJ
ejpam-5567	977	5	with	with	ADP
ejpam-5567	977	6	hints	hint	NOUN
ejpam-5567	977	7	at	at	ADP
ejpam-5567	977	8	practical	practical	ADJ
ejpam-5567	977	9	applications	application	NOUN
ejpam-5567	977	10	in	in	ADP
ejpam-5567	977	11	the	the	DET
ejpam-5567	977	12	future	future	NOUN
ejpam-5567	977	13	.	.	PUNCT
ejpam-5567	978	1	likely	likely	ADV
ejpam-5567	978	2	intended	intend	VERB
ejpam-5567	978	3	for	for	ADP
ejpam-5567	978	4	more	more	ADV
ejpam-5567	978	5	applied	applied	ADJ
ejpam-5567	978	6	studies	study	NOUN
ejpam-5567	978	7	with	with	ADP
ejpam-5567	978	8	an	an	DET
ejpam-5567	978	9	emphasis	emphasis	NOUN
ejpam-5567	978	10	on	on	ADP
ejpam-5567	978	11	solving	solve	VERB
ejpam-5567	978	12	practical	practical	ADJ
ejpam-5567	978	13	problems	problem	NOUN
ejpam-5567	978	14	using	use	VERB
ejpam-5567	978	15	ternary	ternary	ADJ
ejpam-5567	978	16	soft	soft	ADJ
ejpam-5567	978	17	topological	topological	ADJ
ejpam-5567	978	18	concepts	concept	NOUN
ejpam-5567	978	19	.	.	PUNCT
ejpam-5567	979	1	9	9	X
ejpam-5567	979	2	.	.	X
ejpam-5567	979	3	additional	additional	ADJ
ejpam-5567	979	4	concepts	concept	NOUN
ejpam-5567	979	5	focus	focus	VERB
ejpam-5567	979	6	on	on	ADP
ejpam-5567	979	7	binary	binary	ADJ
ejpam-5567	979	8	soft	soft	ADJ
ejpam-5567	979	9	topologies	topology	NOUN
ejpam-5567	979	10	with	with	ADP
ejpam-5567	979	11	regularity	regularity	NOUN
ejpam-5567	979	12	,	,	PUNCT
ejpam-5567	979	13	normality	normality	NOUN
ejpam-5567	979	14	,	,	PUNCT
ejpam-5567	979	15	and	and	CCONJ
ejpam-5567	979	16	invariance	invariance	NOUN
ejpam-5567	979	17	properties	property	NOUN
ejpam-5567	979	18	.	.	PUNCT
ejpam-5567	980	1	introduces	introduce	NOUN
ejpam-5567	980	2	semi	semi	ADJ
ejpam-5567	980	3	-	-	NOUN
ejpam-5567	980	4	separation	separation	NOUN
ejpam-5567	980	5	axioms	axiom	NOUN
ejpam-5567	980	6	for	for	ADP
ejpam-5567	980	7	ternary	ternary	ADJ
ejpam-5567	980	8	spaces	space	NOUN
ejpam-5567	980	9	,	,	PUNCT
ejpam-5567	980	10	including	include	VERB
ejpam-5567	980	11	ternary	ternary	ADJ
ejpam-5567	980	12	semi	semi	ADJ
ejpam-5567	980	13	-	-	ADJ
ejpam-5567	980	14	regular	regular	ADJ
ejpam-5567	980	15	,	,	PUNCT
ejpam-5567	980	16	semi	semi	ADJ
ejpam-5567	980	17	-	-	ADJ
ejpam-5567	980	18	normal	normal	ADJ
ejpam-5567	980	19	,	,	PUNCT
ejpam-5567	980	20	and	and	CCONJ
ejpam-5567	980	21	other	other	ADJ
ejpam-5567	980	22	related	related	ADJ
ejpam-5567	980	23	properties	property	NOUN
ejpam-5567	980	24	.	.	PUNCT
ejpam-5567	981	1	table	table	NOUN
ejpam-5567	981	2	2	2	NUM
ejpam-5567	981	3	:	:	PUNCT
ejpam-5567	981	4	comparative	comparative	ADJ
ejpam-5567	981	5	analysis	analysis	NOUN
ejpam-5567	981	6	10	10	NUM
ejpam-5567	981	7	.	.	PUNCT
ejpam-5567	982	1	advantages	advantage	NOUN
ejpam-5567	982	2	(	(	PUNCT
ejpam-5567	982	3	i	i	NOUN
ejpam-5567	982	4	)	)	PUNCT
ejpam-5567	982	5	comprehensive	comprehensive	ADJ
ejpam-5567	982	6	understanding	understanding	NOUN
ejpam-5567	982	7	of	of	ADP
ejpam-5567	982	8	ternary	ternary	ADJ
ejpam-5567	982	9	soft	soft	ADJ
ejpam-5567	982	10	sets	set	NOUN
ejpam-5567	982	11	:	:	PUNCT
ejpam-5567	982	12	the	the	DET
ejpam-5567	982	13	research	research	NOUN
ejpam-5567	982	14	provides	provide	VERB
ejpam-5567	982	15	a	a	DET
ejpam-5567	982	16	detailed	detailed	ADJ
ejpam-5567	982	17	exploration	exploration	NOUN
ejpam-5567	982	18	of	of	ADP
ejpam-5567	982	19	the	the	DET
ejpam-5567	982	20	basic	basic	ADJ
ejpam-5567	982	21	operations	operation	NOUN
ejpam-5567	982	22	of	of	ADP
ejpam-5567	982	23	ternary	ternary	ADJ
ejpam-5567	982	24	soft	soft	ADJ
ejpam-5567	982	25	sets	set	NOUN
ejpam-5567	982	26	,	,	PUNCT
ejpam-5567	982	27	such	such	ADJ
ejpam-5567	982	28	as	as	ADP
ejpam-5567	982	29	subset	subset	NOUN
ejpam-5567	982	30	,	,	PUNCT
ejpam-5567	982	31	superset	superset	NOUN
ejpam-5567	982	32	,	,	PUNCT
ejpam-5567	982	33	complement	complement	NOUN
ejpam-5567	982	34	,	,	PUNCT
ejpam-5567	982	35	union	union	NOUN
ejpam-5567	982	36	,	,	PUNCT
ejpam-5567	982	37	and	and	CCONJ
ejpam-5567	982	38	intersection	intersection	NOUN
ejpam-5567	982	39	.	.	PUNCT
ejpam-5567	983	1	these	these	DET
ejpam-5567	983	2	operations	operation	NOUN
ejpam-5567	983	3	help	help	VERB
ejpam-5567	983	4	in	in	ADP
ejpam-5567	983	5	the	the	DET
ejpam-5567	983	6	fundamental	fundamental	ADJ
ejpam-5567	983	7	understanding	understanding	NOUN
ejpam-5567	983	8	and	and	CCONJ
ejpam-5567	983	9	manipulation	manipulation	NOUN
ejpam-5567	983	10	of	of	ADP
ejpam-5567	983	11	ternary	ternary	ADJ
ejpam-5567	983	12	soft	soft	ADJ
ejpam-5567	983	13	sets	set	NOUN
ejpam-5567	983	14	,	,	PUNCT
ejpam-5567	983	15	which	which	PRON
ejpam-5567	983	16	can	can	AUX
ejpam-5567	983	17	be	be	AUX
ejpam-5567	983	18	useful	useful	ADJ
ejpam-5567	983	19	for	for	ADP
ejpam-5567	983	20	decision	decision	NOUN
ejpam-5567	983	21	-	-	PUNCT
ejpam-5567	983	22	making	make	VERB
ejpam-5567	983	23	processes	process	NOUN
ejpam-5567	983	24	where	where	SCONJ
ejpam-5567	983	25	uncertainty	uncertainty	NOUN
ejpam-5567	983	26	or	or	CCONJ
ejpam-5567	983	27	vagueness	vagueness	NOUN
ejpam-5567	983	28	exists	exist	VERB
ejpam-5567	983	29	.	.	PUNCT
ejpam-5567	984	1	(	(	PUNCT
ejpam-5567	984	2	ii	ii	NOUN
ejpam-5567	984	3	)	)	PUNCT
ejpam-5567	984	4	new	new	ADJ
ejpam-5567	984	5	mathematical	mathematical	ADJ
ejpam-5567	984	6	structures	structure	NOUN
ejpam-5567	984	7	:	:	PUNCT
ejpam-5567	984	8	the	the	DET
ejpam-5567	984	9	introduction	introduction	NOUN
ejpam-5567	984	10	of	of	ADP
ejpam-5567	984	11	the	the	DET
ejpam-5567	984	12	concept	concept	NOUN
ejpam-5567	984	13	of	of	ADP
ejpam-5567	984	14	ternary	ternary	ADJ
ejpam-5567	984	15	soft	soft	ADJ
ejpam-5567	984	16	topological	topological	ADJ
ejpam-5567	984	17	structures	structure	NOUN
ejpam-5567	984	18	based	base	VERB
ejpam-5567	984	19	on	on	ADP
ejpam-5567	984	20	three	three	NUM
ejpam-5567	984	21	initial	initial	ADJ
ejpam-5567	984	22	universal	universal	ADJ
ejpam-5567	984	23	sets	set	NOUN
ejpam-5567	984	24	and	and	CCONJ
ejpam-5567	984	25	decision	decision	NOUN
ejpam-5567	984	26	variables	variable	NOUN
ejpam-5567	984	27	is	be	AUX
ejpam-5567	984	28	an	an	DET
ejpam-5567	984	29	innovative	innovative	ADJ
ejpam-5567	984	30	approach	approach	NOUN
ejpam-5567	984	31	.	.	PUNCT
ejpam-5567	985	1	this	this	DET
ejpam-5567	985	2	extension	extension	NOUN
ejpam-5567	985	3	opens	open	VERB
ejpam-5567	985	4	up	up	ADP
ejpam-5567	985	5	new	new	ADJ
ejpam-5567	985	6	avenues	avenue	NOUN
ejpam-5567	985	7	for	for	ADP
ejpam-5567	985	8	research	research	NOUN
ejpam-5567	985	9	in	in	ADP
ejpam-5567	985	10	soft	soft	ADJ
ejpam-5567	985	11	set	set	NOUN
ejpam-5567	985	12	theory	theory	NOUN
ejpam-5567	985	13	and	and	CCONJ
ejpam-5567	985	14	its	its	PRON
ejpam-5567	985	15	applications	application	NOUN
ejpam-5567	985	16	in	in	ADP
ejpam-5567	985	17	fields	field	NOUN
ejpam-5567	985	18	like	like	ADP
ejpam-5567	985	19	computer	computer	NOUN
ejpam-5567	985	20	science	science	NOUN
ejpam-5567	985	21	,	,	PUNCT
ejpam-5567	985	22	decision	decision	NOUN
ejpam-5567	985	23	analysis	analysis	NOUN
ejpam-5567	985	24	,	,	PUNCT
ejpam-5567	985	25	m.	m.	NOUN
ejpam-5567	985	26	nawaz	nawaz	NOUN
ejpam-5567	985	27	et	et	PROPN
ejpam-5567	985	28	al	al	PROPN
ejpam-5567	985	29	.	.	PUNCT
ejpam-5567	985	30	/	/	SYM
ejpam-5567	985	31	eur	eur	PROPN
ejpam-5567	985	32	.	.	PUNCT
ejpam-5567	986	1	j.	j.	PROPN
ejpam-5567	986	2	pure	pure	PROPN
ejpam-5567	986	3	appl	appl	PROPN
ejpam-5567	986	4	.	.	PROPN
ejpam-5567	986	5	math	math	PROPN
ejpam-5567	986	6	,	,	PUNCT
ejpam-5567	986	7	18	18	NUM
ejpam-5567	986	8	(	(	PUNCT
ejpam-5567	986	9	1	1	NUM
ejpam-5567	986	10	)	)	PUNCT
ejpam-5567	986	11	(	(	PUNCT
ejpam-5567	986	12	2025	2025	NUM
ejpam-5567	986	13	)	)	PUNCT
ejpam-5567	986	14	,	,	PUNCT
ejpam-5567	986	15	5567	5567	NUM
ejpam-5567	986	16	41	41	NUM
ejpam-5567	986	17	of	of	ADP
ejpam-5567	986	18	45	45	NUM
ejpam-5567	986	19	and	and	CCONJ
ejpam-5567	986	20	fuzzy	fuzzy	ADJ
ejpam-5567	986	21	logic	logic	NOUN
ejpam-5567	986	22	.	.	PUNCT
ejpam-5567	987	1	(	(	PUNCT
ejpam-5567	987	2	iii	iii	X
ejpam-5567	987	3	)	)	PUNCT
ejpam-5567	987	4	theoretical	theoretical	ADJ
ejpam-5567	987	5	contributions	contribution	NOUN
ejpam-5567	987	6	to	to	ADP
ejpam-5567	987	7	topology	topology	NOUN
ejpam-5567	987	8	:	:	PUNCT
ejpam-5567	987	9	by	by	ADP
ejpam-5567	987	10	introducing	introduce	VERB
ejpam-5567	987	11	concepts	concept	NOUN
ejpam-5567	987	12	like	like	ADP
ejpam-5567	987	13	ternary	ternary	ADJ
ejpam-5567	987	14	soft	soft	ADJ
ejpam-5567	987	15	open	open	ADJ
ejpam-5567	987	16	sets	set	NOUN
ejpam-5567	987	17	,	,	PUNCT
ejpam-5567	987	18	closed	closed	ADJ
ejpam-5567	987	19	sets	set	NOUN
ejpam-5567	987	20	,	,	PUNCT
ejpam-5567	987	21	closures	closure	NOUN
ejpam-5567	987	22	,	,	PUNCT
ejpam-5567	987	23	interiors	interior	NOUN
ejpam-5567	987	24	,	,	PUNCT
ejpam-5567	987	25	boundary	boundary	NOUN
ejpam-5567	987	26	,	,	PUNCT
ejpam-5567	987	27	and	and	CCONJ
ejpam-5567	987	28	neighborhoods	neighborhood	NOUN
ejpam-5567	987	29	,	,	PUNCT
ejpam-5567	987	30	the	the	DET
ejpam-5567	987	31	study	study	NOUN
ejpam-5567	987	32	enhances	enhance	VERB
ejpam-5567	987	33	the	the	DET
ejpam-5567	987	34	theoretical	theoretical	ADJ
ejpam-5567	987	35	foundation	foundation	NOUN
ejpam-5567	987	36	of	of	ADP
ejpam-5567	987	37	soft	soft	ADJ
ejpam-5567	987	38	set	set	NOUN
ejpam-5567	987	39	theory	theory	NOUN
ejpam-5567	987	40	,	,	PUNCT
ejpam-5567	987	41	particularly	particularly	ADV
ejpam-5567	987	42	in	in	ADP
ejpam-5567	987	43	the	the	DET
ejpam-5567	987	44	context	context	NOUN
ejpam-5567	987	45	of	of	ADP
ejpam-5567	987	46	topology	topology	NOUN
ejpam-5567	987	47	.	.	PUNCT
ejpam-5567	988	1	these	these	DET
ejpam-5567	988	2	new	new	ADJ
ejpam-5567	988	3	concepts	concept	NOUN
ejpam-5567	988	4	extend	extend	VERB
ejpam-5567	988	5	existing	exist	VERB
ejpam-5567	988	6	topological	topological	ADJ
ejpam-5567	988	7	structures	structure	NOUN
ejpam-5567	988	8	and	and	CCONJ
ejpam-5567	988	9	may	may	AUX
ejpam-5567	988	10	lead	lead	VERB
ejpam-5567	988	11	to	to	ADP
ejpam-5567	988	12	new	new	ADJ
ejpam-5567	988	13	insights	insight	NOUN
ejpam-5567	988	14	into	into	ADP
ejpam-5567	988	15	how	how	SCONJ
ejpam-5567	988	16	soft	soft	ADJ
ejpam-5567	988	17	sets	set	NOUN
ejpam-5567	988	18	behave	behave	VERB
ejpam-5567	988	19	in	in	ADP
ejpam-5567	988	20	more	more	ADJ
ejpam-5567	988	21	complex	complex	ADJ
ejpam-5567	988	22	environments	environment	NOUN
ejpam-5567	988	23	.	.	PUNCT
ejpam-5567	989	1	(	(	PUNCT
ejpam-5567	989	2	iv	iv	X
ejpam-5567	989	3	)	)	PUNCT
ejpam-5567	989	4	practical	practical	ADJ
ejpam-5567	989	5	applications	application	NOUN
ejpam-5567	989	6	:	:	PUNCT
ejpam-5567	989	7	the	the	DET
ejpam-5567	989	8	research	research	NOUN
ejpam-5567	989	9	includes	include	VERB
ejpam-5567	989	10	examples	example	NOUN
ejpam-5567	989	11	to	to	PART
ejpam-5567	989	12	demonstrate	demonstrate	VERB
ejpam-5567	989	13	how	how	SCONJ
ejpam-5567	989	14	these	these	DET
ejpam-5567	989	15	concepts	concept	NOUN
ejpam-5567	989	16	can	can	AUX
ejpam-5567	989	17	be	be	AUX
ejpam-5567	989	18	applied	apply	VERB
ejpam-5567	989	19	in	in	ADP
ejpam-5567	989	20	real	real	ADJ
ejpam-5567	989	21	-	-	PUNCT
ejpam-5567	989	22	world	world	NOUN
ejpam-5567	989	23	scenarios	scenario	NOUN
ejpam-5567	989	24	.	.	PUNCT
ejpam-5567	990	1	this	this	PRON
ejpam-5567	990	2	makes	make	VERB
ejpam-5567	990	3	the	the	DET
ejpam-5567	990	4	study	study	NOUN
ejpam-5567	990	5	highly	highly	ADV
ejpam-5567	990	6	relevant	relevant	ADJ
ejpam-5567	990	7	to	to	ADP
ejpam-5567	990	8	practical	practical	ADJ
ejpam-5567	990	9	applications	application	NOUN
ejpam-5567	990	10	such	such	ADJ
ejpam-5567	990	11	as	as	ADP
ejpam-5567	990	12	decision	decision	NOUN
ejpam-5567	990	13	-	-	PUNCT
ejpam-5567	990	14	making	making	NOUN
ejpam-5567	990	15	,	,	PUNCT
ejpam-5567	990	16	multi	multi	ADJ
ejpam-5567	990	17	-	-	ADJ
ejpam-5567	990	18	criteria	criteria	ADJ
ejpam-5567	990	19	optimization	optimization	NOUN
ejpam-5567	990	20	problems	problem	NOUN
ejpam-5567	990	21	,	,	PUNCT
ejpam-5567	990	22	and	and	CCONJ
ejpam-5567	990	23	uncertainty	uncertainty	NOUN
ejpam-5567	990	24	modeling	modeling	NOUN
ejpam-5567	990	25	.	.	PUNCT
ejpam-5567	991	1	(	(	PUNCT
ejpam-5567	991	2	v	v	NOUN
ejpam-5567	991	3	)	)	PUNCT
ejpam-5567	991	4	interdisciplinary	interdisciplinary	ADJ
ejpam-5567	991	5	relevance	relevance	NOUN
ejpam-5567	991	6	:	:	PUNCT
ejpam-5567	991	7	ternary	ternary	ADJ
ejpam-5567	991	8	soft	soft	ADJ
ejpam-5567	991	9	sets	set	NOUN
ejpam-5567	991	10	and	and	CCONJ
ejpam-5567	991	11	the	the	DET
ejpam-5567	991	12	associated	associated	ADJ
ejpam-5567	991	13	topological	topological	ADJ
ejpam-5567	991	14	structures	structure	NOUN
ejpam-5567	991	15	are	be	AUX
ejpam-5567	991	16	versatile	versatile	ADJ
ejpam-5567	991	17	and	and	CCONJ
ejpam-5567	991	18	can	can	AUX
ejpam-5567	991	19	potentially	potentially	ADV
ejpam-5567	991	20	be	be	AUX
ejpam-5567	991	21	applied	apply	VERB
ejpam-5567	991	22	across	across	ADP
ejpam-5567	991	23	a	a	DET
ejpam-5567	991	24	wide	wide	ADJ
ejpam-5567	991	25	range	range	NOUN
ejpam-5567	991	26	of	of	ADP
ejpam-5567	991	27	disciplines	discipline	NOUN
ejpam-5567	991	28	,	,	PUNCT
ejpam-5567	991	29	including	include	VERB
ejpam-5567	991	30	economics	economic	NOUN
ejpam-5567	991	31	,	,	PUNCT
ejpam-5567	991	32	computer	computer	NOUN
ejpam-5567	991	33	science	science	NOUN
ejpam-5567	991	34	,	,	PUNCT
ejpam-5567	991	35	engineering	engineering	NOUN
ejpam-5567	991	36	,	,	PUNCT
ejpam-5567	991	37	and	and	CCONJ
ejpam-5567	991	38	social	social	ADJ
ejpam-5567	991	39	sciences	science	NOUN
ejpam-5567	991	40	.	.	PUNCT
ejpam-5567	992	1	the	the	DET
ejpam-5567	992	2	research	research	NOUN
ejpam-5567	992	3	provides	provide	VERB
ejpam-5567	992	4	a	a	DET
ejpam-5567	992	5	foundation	foundation	NOUN
ejpam-5567	992	6	for	for	ADP
ejpam-5567	992	7	interdisciplinary	interdisciplinary	ADJ
ejpam-5567	992	8	studies	study	NOUN
ejpam-5567	992	9	that	that	PRON
ejpam-5567	992	10	incorporate	incorporate	VERB
ejpam-5567	992	11	uncertainty	uncertainty	NOUN
ejpam-5567	992	12	and	and	CCONJ
ejpam-5567	992	13	vagueness	vagueness	NOUN
ejpam-5567	992	14	in	in	ADP
ejpam-5567	992	15	decision	decision	NOUN
ejpam-5567	992	16	processes	process	NOUN
ejpam-5567	992	17	.	.	PUNCT
ejpam-5567	993	1	(	(	PUNCT
ejpam-5567	993	2	vi	vi	NOUN
ejpam-5567	993	3	)	)	PUNCT
ejpam-5567	993	4	clarity	clarity	NOUN
ejpam-5567	993	5	of	of	ADP
ejpam-5567	993	6	presentation	presentation	NOUN
ejpam-5567	993	7	:	:	PUNCT
ejpam-5567	993	8	the	the	DET
ejpam-5567	993	9	research	research	NOUN
ejpam-5567	993	10	clearly	clearly	ADV
ejpam-5567	993	11	defines	define	VERB
ejpam-5567	993	12	operations	operation	NOUN
ejpam-5567	993	13	and	and	CCONJ
ejpam-5567	993	14	structures	structure	NOUN
ejpam-5567	993	15	with	with	ADP
ejpam-5567	993	16	well	well	ADV
ejpam-5567	993	17	-	-	PUNCT
ejpam-5567	993	18	illustrated	illustrate	VERB
ejpam-5567	993	19	examples	example	NOUN
ejpam-5567	993	20	,	,	PUNCT
ejpam-5567	993	21	facilitating	facilitate	VERB
ejpam-5567	993	22	a	a	DET
ejpam-5567	993	23	better	well	ADJ
ejpam-5567	993	24	understanding	understanding	NOUN
ejpam-5567	993	25	of	of	ADP
ejpam-5567	993	26	how	how	SCONJ
ejpam-5567	993	27	these	these	DET
ejpam-5567	993	28	concepts	concept	NOUN
ejpam-5567	993	29	can	can	AUX
ejpam-5567	993	30	be	be	AUX
ejpam-5567	993	31	used	use	VERB
ejpam-5567	993	32	in	in	ADP
ejpam-5567	993	33	theoretical	theoretical	ADJ
ejpam-5567	993	34	and	and	CCONJ
ejpam-5567	993	35	practical	practical	ADJ
ejpam-5567	993	36	contexts	contexts	NOUN
ejpam-5567	993	37	.	.	PUNCT
ejpam-5567	994	1	11	11	NUM
ejpam-5567	994	2	.	.	PUNCT
ejpam-5567	994	3	limitations	limitation	NOUN
ejpam-5567	994	4	(	(	PUNCT
ejpam-5567	994	5	i	i	NOUN
ejpam-5567	994	6	)	)	PUNCT
ejpam-5567	994	7	complexity	complexity	NOUN
ejpam-5567	994	8	of	of	ADP
ejpam-5567	994	9	definitions	definition	NOUN
ejpam-5567	994	10	and	and	CCONJ
ejpam-5567	994	11	operations	operation	NOUN
ejpam-5567	994	12	:	:	PUNCT
ejpam-5567	994	13	the	the	DET
ejpam-5567	994	14	study	study	NOUN
ejpam-5567	994	15	delves	delve	VERB
ejpam-5567	994	16	into	into	ADP
ejpam-5567	994	17	advanced	advanced	ADJ
ejpam-5567	994	18	mathematical	mathematical	ADJ
ejpam-5567	994	19	operations	operation	NOUN
ejpam-5567	994	20	that	that	PRON
ejpam-5567	994	21	may	may	AUX
ejpam-5567	994	22	be	be	AUX
ejpam-5567	994	23	difficult	difficult	ADJ
ejpam-5567	994	24	for	for	ADP
ejpam-5567	994	25	readers	reader	NOUN
ejpam-5567	994	26	unfamiliar	unfamiliar	ADJ
ejpam-5567	994	27	with	with	ADP
ejpam-5567	994	28	the	the	DET
ejpam-5567	994	29	underlying	underlie	VERB
ejpam-5567	994	30	concepts	concept	NOUN
ejpam-5567	994	31	of	of	ADP
ejpam-5567	994	32	soft	soft	ADJ
ejpam-5567	994	33	set	set	NOUN
ejpam-5567	994	34	theory	theory	NOUN
ejpam-5567	994	35	and	and	CCONJ
ejpam-5567	994	36	topology	topology	NOUN
ejpam-5567	994	37	.	.	PUNCT
ejpam-5567	995	1	for	for	ADP
ejpam-5567	995	2	non	non	NOUN
ejpam-5567	995	3	-	-	NOUN
ejpam-5567	995	4	experts	expert	NOUN
ejpam-5567	995	5	,	,	PUNCT
ejpam-5567	995	6	understanding	understand	VERB
ejpam-5567	995	7	the	the	DET
ejpam-5567	995	8	full	full	ADJ
ejpam-5567	995	9	implications	implication	NOUN
ejpam-5567	995	10	of	of	ADP
ejpam-5567	995	11	ternary	ternary	ADJ
ejpam-5567	995	12	soft	soft	ADJ
ejpam-5567	995	13	sets	set	NOUN
ejpam-5567	995	14	and	and	CCONJ
ejpam-5567	995	15	their	their	PRON
ejpam-5567	995	16	operations	operation	NOUN
ejpam-5567	995	17	(	(	PUNCT
ejpam-5567	995	18	like	like	INTJ
ejpam-5567	995	19	difference	difference	NOUN
ejpam-5567	995	20	,	,	PUNCT
ejpam-5567	995	21	symmetric	symmetric	ADJ
ejpam-5567	995	22	difference	difference	NOUN
ejpam-5567	995	23	,	,	PUNCT
ejpam-5567	995	24	and/or	and/or	CCONJ
ejpam-5567	995	25	operations	operation	NOUN
ejpam-5567	995	26	)	)	PUNCT
ejpam-5567	995	27	may	may	AUX
ejpam-5567	995	28	be	be	AUX
ejpam-5567	995	29	challenging	challenge	VERB
ejpam-5567	995	30	.	.	PUNCT
ejpam-5567	996	1	(	(	PUNCT
ejpam-5567	996	2	ii	ii	NOUN
ejpam-5567	996	3	)	)	PUNCT
ejpam-5567	996	4	limited	limited	ADJ
ejpam-5567	996	5	real	real	ADJ
ejpam-5567	996	6	-	-	PUNCT
ejpam-5567	996	7	world	world	NOUN
ejpam-5567	996	8	applications	application	NOUN
ejpam-5567	996	9	:	:	PUNCT
ejpam-5567	996	10	while	while	SCONJ
ejpam-5567	996	11	the	the	DET
ejpam-5567	996	12	theoretical	theoretical	ADJ
ejpam-5567	996	13	aspects	aspect	NOUN
ejpam-5567	996	14	are	be	AUX
ejpam-5567	996	15	well	well	ADV
ejpam-5567	996	16	explored	explore	VERB
ejpam-5567	996	17	,	,	PUNCT
ejpam-5567	996	18	the	the	DET
ejpam-5567	996	19	actual	actual	ADJ
ejpam-5567	996	20	implementation	implementation	NOUN
ejpam-5567	996	21	or	or	CCONJ
ejpam-5567	996	22	application	application	NOUN
ejpam-5567	996	23	of	of	ADP
ejpam-5567	996	24	ternary	ternary	ADJ
ejpam-5567	996	25	soft	soft	ADJ
ejpam-5567	996	26	sets	set	NOUN
ejpam-5567	996	27	in	in	ADP
ejpam-5567	996	28	practical	practical	ADJ
ejpam-5567	996	29	systems	system	NOUN
ejpam-5567	996	30	might	might	AUX
ejpam-5567	996	31	be	be	AUX
ejpam-5567	996	32	limited	limit	VERB
ejpam-5567	996	33	or	or	CCONJ
ejpam-5567	996	34	not	not	PART
ejpam-5567	996	35	fully	fully	ADV
ejpam-5567	996	36	developed	develop	VERB
ejpam-5567	996	37	.	.	PUNCT
ejpam-5567	997	1	many	many	ADJ
ejpam-5567	997	2	of	of	ADP
ejpam-5567	997	3	the	the	DET
ejpam-5567	997	4	examples	example	NOUN
ejpam-5567	997	5	presented	present	VERB
ejpam-5567	997	6	might	might	AUX
ejpam-5567	997	7	remain	remain	VERB
ejpam-5567	997	8	theoretical	theoretical	ADJ
ejpam-5567	997	9	,	,	PUNCT
ejpam-5567	997	10	and	and	CCONJ
ejpam-5567	997	11	there	there	PRON
ejpam-5567	997	12	is	be	VERB
ejpam-5567	997	13	a	a	DET
ejpam-5567	997	14	need	need	NOUN
ejpam-5567	997	15	for	for	ADP
ejpam-5567	997	16	further	further	ADJ
ejpam-5567	997	17	research	research	NOUN
ejpam-5567	997	18	to	to	PART
ejpam-5567	997	19	translate	translate	VERB
ejpam-5567	997	20	these	these	DET
ejpam-5567	997	21	concepts	concept	NOUN
ejpam-5567	997	22	into	into	ADP
ejpam-5567	997	23	real	real	ADJ
ejpam-5567	997	24	-	-	PUNCT
ejpam-5567	997	25	world	world	NOUN
ejpam-5567	997	26	solutions	solution	NOUN
ejpam-5567	997	27	.	.	PUNCT
ejpam-5567	998	1	(	(	PUNCT
ejpam-5567	998	2	iii	iii	X
ejpam-5567	998	3	)	)	PUNCT
ejpam-5567	998	4	ambiguity	ambiguity	NOUN
ejpam-5567	998	5	in	in	ADP
ejpam-5567	998	6	parameters	parameter	NOUN
ejpam-5567	998	7	:	:	PUNCT
ejpam-5567	998	8	the	the	DET
ejpam-5567	998	9	concept	concept	NOUN
ejpam-5567	998	10	of	of	ADP
ejpam-5567	998	11	a	a	DET
ejpam-5567	998	12	fixed	fix	VERB
ejpam-5567	998	13	set	set	NOUN
ejpam-5567	998	14	parameter	parameter	NOUN
ejpam-5567	998	15	(	(	PUNCT
ejpam-5567	998	16	decision	decision	NOUN
ejpam-5567	998	17	variables	variable	NOUN
ejpam-5567	998	18	)	)	PUNCT
ejpam-5567	998	19	might	might	AUX
ejpam-5567	998	20	introduce	introduce	VERB
ejpam-5567	998	21	ambiguity	ambiguity	NOUN
ejpam-5567	998	22	if	if	SCONJ
ejpam-5567	998	23	not	not	PART
ejpam-5567	998	24	fully	fully	ADV
ejpam-5567	998	25	defined	define	VERB
ejpam-5567	998	26	or	or	CCONJ
ejpam-5567	998	27	if	if	SCONJ
ejpam-5567	998	28	the	the	DET
ejpam-5567	998	29	method	method	NOUN
ejpam-5567	998	30	to	to	PART
ejpam-5567	998	31	choose	choose	VERB
ejpam-5567	998	32	these	these	DET
ejpam-5567	998	33	parameters	parameter	NOUN
ejpam-5567	998	34	is	be	AUX
ejpam-5567	998	35	not	not	PART
ejpam-5567	998	36	clear	clear	ADJ
ejpam-5567	998	37	.	.	PUNCT
ejpam-5567	999	1	the	the	DET
ejpam-5567	999	2	application	application	NOUN
ejpam-5567	999	3	of	of	ADP
ejpam-5567	999	4	decision	decision	NOUN
ejpam-5567	999	5	variables	variable	NOUN
ejpam-5567	999	6	in	in	ADP
ejpam-5567	999	7	ternary	ternary	ADJ
ejpam-5567	999	8	soft	soft	ADJ
ejpam-5567	999	9	sets	set	NOUN
ejpam-5567	999	10	can	can	AUX
ejpam-5567	999	11	be	be	AUX
ejpam-5567	999	12	context	context	NOUN
ejpam-5567	999	13	-	-	PUNCT
ejpam-5567	999	14	dependent	dependent	ADJ
ejpam-5567	999	15	,	,	PUNCT
ejpam-5567	999	16	and	and	CCONJ
ejpam-5567	999	17	without	without	ADP
ejpam-5567	999	18	a	a	DET
ejpam-5567	999	19	concrete	concrete	ADJ
ejpam-5567	999	20	framework	framework	NOUN
ejpam-5567	999	21	,	,	PUNCT
ejpam-5567	999	22	this	this	DET
ejpam-5567	999	23	flexibility	flexibility	NOUN
ejpam-5567	999	24	could	could	AUX
ejpam-5567	999	25	lead	lead	VERB
ejpam-5567	999	26	to	to	ADP
ejpam-5567	999	27	inconsistencies	inconsistency	NOUN
ejpam-5567	999	28	in	in	ADP
ejpam-5567	999	29	practical	practical	ADJ
ejpam-5567	999	30	applications	application	NOUN
ejpam-5567	999	31	.	.	PUNCT
ejpam-5567	1000	1	(	(	PUNCT
ejpam-5567	1000	2	iv	iv	X
ejpam-5567	1000	3	)	)	PUNCT
ejpam-5567	1000	4	scalability	scalability	NOUN
ejpam-5567	1000	5	issues	issue	NOUN
ejpam-5567	1000	6	:	:	PUNCT
ejpam-5567	1000	7	while	while	SCONJ
ejpam-5567	1000	8	ternary	ternary	ADJ
ejpam-5567	1000	9	soft	soft	ADJ
ejpam-5567	1000	10	sets	set	NOUN
ejpam-5567	1000	11	provide	provide	VERB
ejpam-5567	1000	12	a	a	DET
ejpam-5567	1000	13	powerful	powerful	ADJ
ejpam-5567	1000	14	tool	tool	NOUN
ejpam-5567	1000	15	for	for	ADP
ejpam-5567	1000	16	modeling	model	VERB
ejpam-5567	1000	17	uncertainty	uncertainty	NOUN
ejpam-5567	1000	18	with	with	ADP
ejpam-5567	1000	19	three	three	NUM
ejpam-5567	1000	20	initial	initial	ADJ
ejpam-5567	1000	21	universal	universal	ADJ
ejpam-5567	1000	22	sets	set	NOUN
ejpam-5567	1000	23	,	,	PUNCT
ejpam-5567	1000	24	the	the	DET
ejpam-5567	1000	25	scalability	scalability	NOUN
ejpam-5567	1000	26	of	of	ADP
ejpam-5567	1000	27	these	these	DET
ejpam-5567	1000	28	structures	structure	NOUN
ejpam-5567	1000	29	to	to	PART
ejpam-5567	1000	30	handle	handle	VERB
ejpam-5567	1000	31	large	large	ADJ
ejpam-5567	1000	32	datasets	dataset	NOUN
ejpam-5567	1000	33	or	or	CCONJ
ejpam-5567	1000	34	complex	complex	ADJ
ejpam-5567	1000	35	systems	system	NOUN
ejpam-5567	1000	36	might	might	AUX
ejpam-5567	1000	37	be	be	AUX
ejpam-5567	1000	38	limited	limit	VERB
ejpam-5567	1000	39	.	.	PUNCT
ejpam-5567	1001	1	this	this	PRON
ejpam-5567	1001	2	could	could	AUX
ejpam-5567	1001	3	restrict	restrict	VERB
ejpam-5567	1001	4	m.	m.	NOUN
ejpam-5567	1001	5	nawaz	nawaz	NOUN
ejpam-5567	1001	6	et	et	PROPN
ejpam-5567	1001	7	al	al	PROPN
ejpam-5567	1001	8	.	.	PUNCT
ejpam-5567	1001	9	/	/	SYM
ejpam-5567	1001	10	eur	eur	PROPN
ejpam-5567	1001	11	.	.	PUNCT
ejpam-5567	1002	1	j.	j.	PROPN
ejpam-5567	1002	2	pure	pure	PROPN
ejpam-5567	1002	3	appl	appl	PROPN
ejpam-5567	1002	4	.	.	PROPN
ejpam-5567	1002	5	math	math	PROPN
ejpam-5567	1002	6	,	,	PUNCT
ejpam-5567	1002	7	18	18	NUM
ejpam-5567	1002	8	(	(	PUNCT
ejpam-5567	1002	9	1	1	NUM
ejpam-5567	1002	10	)	)	PUNCT
ejpam-5567	1002	11	(	(	PUNCT
ejpam-5567	1002	12	2025	2025	NUM
ejpam-5567	1002	13	)	)	PUNCT
ejpam-5567	1002	14	,	,	PUNCT
ejpam-5567	1002	15	5567	5567	NUM
ejpam-5567	1002	16	42	42	NUM
ejpam-5567	1002	17	of	of	ADP
ejpam-5567	1002	18	45	45	NUM
ejpam-5567	1002	19	their	their	PRON
ejpam-5567	1002	20	use	use	NOUN
ejpam-5567	1002	21	in	in	ADP
ejpam-5567	1002	22	big	big	ADJ
ejpam-5567	1002	23	data	datum	NOUN
ejpam-5567	1002	24	analytics	analytic	NOUN
ejpam-5567	1002	25	or	or	CCONJ
ejpam-5567	1002	26	large	large	ADJ
ejpam-5567	1002	27	-	-	PUNCT
ejpam-5567	1002	28	scale	scale	NOUN
ejpam-5567	1002	29	optimization	optimization	NOUN
ejpam-5567	1002	30	problems	problem	NOUN
ejpam-5567	1002	31	unless	unless	SCONJ
ejpam-5567	1002	32	further	further	ADJ
ejpam-5567	1002	33	advancements	advancement	NOUN
ejpam-5567	1002	34	are	be	AUX
ejpam-5567	1002	35	made	make	VERB
ejpam-5567	1002	36	to	to	PART
ejpam-5567	1002	37	improve	improve	VERB
ejpam-5567	1002	38	computational	computational	ADJ
ejpam-5567	1002	39	efficiency	efficiency	NOUN
ejpam-5567	1002	40	.	.	PUNCT
ejpam-5567	1003	1	(	(	PUNCT
ejpam-5567	1003	2	v	v	NOUN
ejpam-5567	1003	3	)	)	PUNCT
ejpam-5567	1003	4	dependence	dependence	NOUN
ejpam-5567	1003	5	on	on	ADP
ejpam-5567	1003	6	crisp	crisp	ADJ
ejpam-5567	1003	7	points	point	NOUN
ejpam-5567	1003	8	:	:	PUNCT
ejpam-5567	1003	9	the	the	DET
ejpam-5567	1003	10	research	research	NOUN
ejpam-5567	1003	11	mentions	mention	VERB
ejpam-5567	1003	12	that	that	SCONJ
ejpam-5567	1003	13	the	the	PRON
ejpam-5567	1003	14	“	"	PUNCT
ejpam-5567	1003	15	and	and	CCONJ
ejpam-5567	1003	16	”	"	PUNCT
ejpam-5567	1003	17	and	and	CCONJ
ejpam-5567	1003	18	“	"	PUNCT
ejpam-5567	1003	19	or	or	CCONJ
ejpam-5567	1003	20	”	"	PUNCT
ejpam-5567	1003	21	operations	operation	NOUN
ejpam-5567	1003	22	are	be	AUX
ejpam-5567	1003	23	performed	perform	VERB
ejpam-5567	1003	24	with	with	ADP
ejpam-5567	1003	25	respect	respect	NOUN
ejpam-5567	1003	26	to	to	ADP
ejpam-5567	1003	27	crisp	crisp	ADJ
ejpam-5567	1003	28	points	point	NOUN
ejpam-5567	1003	29	.	.	PUNCT
ejpam-5567	1004	1	however	however	ADV
ejpam-5567	1004	2	,	,	PUNCT
ejpam-5567	1004	3	this	this	PRON
ejpam-5567	1004	4	might	might	AUX
ejpam-5567	1004	5	limit	limit	VERB
ejpam-5567	1004	6	the	the	DET
ejpam-5567	1004	7	flexibility	flexibility	NOUN
ejpam-5567	1004	8	of	of	ADP
ejpam-5567	1004	9	the	the	DET
ejpam-5567	1004	10	model	model	NOUN
ejpam-5567	1004	11	in	in	ADP
ejpam-5567	1004	12	handling	handle	VERB
ejpam-5567	1004	13	more	more	ADJ
ejpam-5567	1004	14	complex	complex	ADJ
ejpam-5567	1004	15	types	type	NOUN
ejpam-5567	1004	16	of	of	ADP
ejpam-5567	1004	17	uncertainty	uncertainty	NOUN
ejpam-5567	1004	18	,	,	PUNCT
ejpam-5567	1004	19	especially	especially	ADV
ejpam-5567	1004	20	when	when	SCONJ
ejpam-5567	1004	21	working	work	VERB
ejpam-5567	1004	22	with	with	ADP
ejpam-5567	1004	23	vague	vague	ADJ
ejpam-5567	1004	24	,	,	PUNCT
ejpam-5567	1004	25	fuzzy	fuzzy	ADJ
ejpam-5567	1004	26	,	,	PUNCT
ejpam-5567	1004	27	or	or	CCONJ
ejpam-5567	1004	28	probabilistic	probabilistic	ADJ
ejpam-5567	1004	29	data	datum	NOUN
ejpam-5567	1004	30	.	.	PUNCT
ejpam-5567	1005	1	(	(	PUNCT
ejpam-5567	1005	2	vi	vi	NOUN
ejpam-5567	1005	3	)	)	PUNCT
ejpam-5567	1005	4	lack	lack	NOUN
ejpam-5567	1005	5	of	of	ADP
ejpam-5567	1005	6	experimental	experimental	ADJ
ejpam-5567	1005	7	validation	validation	NOUN
ejpam-5567	1005	8	:	:	PUNCT
ejpam-5567	1005	9	although	although	SCONJ
ejpam-5567	1005	10	the	the	DET
ejpam-5567	1005	11	research	research	NOUN
ejpam-5567	1005	12	introduces	introduce	VERB
ejpam-5567	1005	13	new	new	ADJ
ejpam-5567	1005	14	concepts	concept	NOUN
ejpam-5567	1005	15	and	and	CCONJ
ejpam-5567	1005	16	mathematical	mathematical	ADJ
ejpam-5567	1005	17	structures	structure	NOUN
ejpam-5567	1005	18	,	,	PUNCT
ejpam-5567	1005	19	there	there	PRON
ejpam-5567	1005	20	might	might	AUX
ejpam-5567	1005	21	be	be	AUX
ejpam-5567	1005	22	a	a	DET
ejpam-5567	1005	23	lack	lack	NOUN
ejpam-5567	1005	24	of	of	ADP
ejpam-5567	1005	25	extensive	extensive	ADJ
ejpam-5567	1005	26	experimental	experimental	ADJ
ejpam-5567	1005	27	validation	validation	NOUN
ejpam-5567	1005	28	or	or	CCONJ
ejpam-5567	1005	29	empirical	empirical	ADJ
ejpam-5567	1005	30	data	datum	NOUN
ejpam-5567	1005	31	to	to	PART
ejpam-5567	1005	32	support	support	VERB
ejpam-5567	1005	33	the	the	DET
ejpam-5567	1005	34	practical	practical	ADJ
ejpam-5567	1005	35	applicability	applicability	NOUN
ejpam-5567	1005	36	of	of	ADP
ejpam-5567	1005	37	these	these	DET
ejpam-5567	1005	38	concepts	concept	NOUN
ejpam-5567	1005	39	.	.	PUNCT
ejpam-5567	1006	1	more	more	ADJ
ejpam-5567	1006	2	real	real	ADJ
ejpam-5567	1006	3	-	-	PUNCT
ejpam-5567	1006	4	world	world	NOUN
ejpam-5567	1006	5	case	case	NOUN
ejpam-5567	1006	6	studies	study	NOUN
ejpam-5567	1006	7	or	or	CCONJ
ejpam-5567	1006	8	computational	computational	ADJ
ejpam-5567	1006	9	experiments	experiment	NOUN
ejpam-5567	1006	10	would	would	AUX
ejpam-5567	1006	11	be	be	AUX
ejpam-5567	1006	12	needed	need	VERB
ejpam-5567	1006	13	to	to	PART
ejpam-5567	1006	14	confirm	confirm	VERB
ejpam-5567	1006	15	the	the	DET
ejpam-5567	1006	16	effectiveness	effectiveness	NOUN
ejpam-5567	1006	17	of	of	ADP
ejpam-5567	1006	18	ternary	ternary	ADJ
ejpam-5567	1006	19	soft	soft	ADJ
ejpam-5567	1006	20	topological	topological	ADJ
ejpam-5567	1006	21	structures	structure	NOUN
ejpam-5567	1006	22	.	.	PUNCT
ejpam-5567	1007	1	(	(	PUNCT
ejpam-5567	1007	2	vii	vii	PROPN
ejpam-5567	1007	3	)	)	PUNCT
ejpam-5567	1007	4	generalization	generalization	NOUN
ejpam-5567	1007	5	of	of	ADP
ejpam-5567	1007	6	results	result	NOUN
ejpam-5567	1007	7	:	:	PUNCT
ejpam-5567	1007	8	the	the	DET
ejpam-5567	1007	9	results	result	NOUN
ejpam-5567	1007	10	are	be	AUX
ejpam-5567	1007	11	based	base	VERB
ejpam-5567	1007	12	on	on	ADP
ejpam-5567	1007	13	three	three	NUM
ejpam-5567	1007	14	initial	initial	ADJ
ejpam-5567	1007	15	universal	universal	ADJ
ejpam-5567	1007	16	sets	set	NOUN
ejpam-5567	1007	17	,	,	PUNCT
ejpam-5567	1007	18	which	which	PRON
ejpam-5567	1007	19	might	might	AUX
ejpam-5567	1007	20	limit	limit	VERB
ejpam-5567	1007	21	the	the	DET
ejpam-5567	1007	22	generalization	generalization	NOUN
ejpam-5567	1007	23	of	of	ADP
ejpam-5567	1007	24	the	the	DET
ejpam-5567	1007	25	findings	finding	NOUN
ejpam-5567	1007	26	.	.	PUNCT
ejpam-5567	1008	1	it	it	PRON
ejpam-5567	1008	2	is	be	AUX
ejpam-5567	1008	3	unclear	unclear	ADJ
ejpam-5567	1008	4	how	how	SCONJ
ejpam-5567	1008	5	these	these	DET
ejpam-5567	1008	6	results	result	NOUN
ejpam-5567	1008	7	could	could	AUX
ejpam-5567	1008	8	be	be	AUX
ejpam-5567	1008	9	extended	extend	VERB
ejpam-5567	1008	10	to	to	ADP
ejpam-5567	1008	11	higher	high	ADJ
ejpam-5567	1008	12	dimensions	dimension	NOUN
ejpam-5567	1008	13	or	or	CCONJ
ejpam-5567	1008	14	more	more	ADJ
ejpam-5567	1008	15	complex	complex	ADJ
ejpam-5567	1008	16	systems	system	NOUN
ejpam-5567	1008	17	involving	involve	VERB
ejpam-5567	1008	18	more	more	ADJ
ejpam-5567	1008	19	than	than	ADP
ejpam-5567	1008	20	three	three	NUM
ejpam-5567	1008	21	sets	set	NOUN
ejpam-5567	1008	22	.	.	PUNCT
ejpam-5567	1009	1	conclusion	conclusion	NOUN
ejpam-5567	1009	2	and	and	CCONJ
ejpam-5567	1009	3	future	future	ADJ
ejpam-5567	1009	4	work	work	NOUN
ejpam-5567	1009	5	soft	soft	ADJ
ejpam-5567	1009	6	set	set	NOUN
ejpam-5567	1009	7	theory	theory	NOUN
ejpam-5567	1009	8	is	be	AUX
ejpam-5567	1009	9	a	a	DET
ejpam-5567	1009	10	hybrid	hybrid	ADJ
ejpam-5567	1009	11	theory	theory	NOUN
ejpam-5567	1009	12	because	because	SCONJ
ejpam-5567	1009	13	of	of	ADP
ejpam-5567	1009	14	its	its	PRON
ejpam-5567	1009	15	combination	combination	NOUN
ejpam-5567	1009	16	of	of	ADP
ejpam-5567	1009	17	soft	soft	ADJ
ejpam-5567	1009	18	set	set	NOUN
ejpam-5567	1009	19	and	and	CCONJ
ejpam-5567	1009	20	crisp	crisp	ADJ
ejpam-5567	1009	21	set	set	NOUN
ejpam-5567	1009	22	theory	theory	NOUN
ejpam-5567	1009	23	.	.	PUNCT
ejpam-5567	1010	1	this	this	DET
ejpam-5567	1010	2	theory	theory	NOUN
ejpam-5567	1010	3	is	be	AUX
ejpam-5567	1010	4	used	use	VERB
ejpam-5567	1010	5	for	for	ADP
ejpam-5567	1010	6	the	the	DET
ejpam-5567	1010	7	reduction	reduction	NOUN
ejpam-5567	1010	8	of	of	ADP
ejpam-5567	1010	9	errors	error	NOUN
ejpam-5567	1010	10	that	that	PRON
ejpam-5567	1010	11	exist	exist	VERB
ejpam-5567	1010	12	in	in	ADP
ejpam-5567	1010	13	data	datum	NOUN
ejpam-5567	1010	14	.	.	PUNCT
ejpam-5567	1011	1	it	it	PRON
ejpam-5567	1011	2	is	be	AUX
ejpam-5567	1011	3	used	use	VERB
ejpam-5567	1011	4	to	to	PART
ejpam-5567	1011	5	decide	decide	VERB
ejpam-5567	1011	6	the	the	DET
ejpam-5567	1011	7	character	character	NOUN
ejpam-5567	1011	8	of	of	ADP
ejpam-5567	1011	9	mathematical	mathematical	ADJ
ejpam-5567	1011	10	structures	structure	NOUN
ejpam-5567	1011	11	and	and	CCONJ
ejpam-5567	1011	12	employs	employ	VERB
ejpam-5567	1011	13	unconventional	unconventional	ADJ
ejpam-5567	1011	14	definitions	definition	NOUN
ejpam-5567	1011	15	of	of	ADP
ejpam-5567	1011	16	union	union	NOUN
ejpam-5567	1011	17	,	,	PUNCT
ejpam-5567	1011	18	intersection	intersection	NOUN
ejpam-5567	1011	19	,	,	PUNCT
ejpam-5567	1011	20	complementation	complementation	NOUN
ejpam-5567	1011	21	,	,	PUNCT
ejpam-5567	1011	22	and	and	CCONJ
ejpam-5567	1011	23	subsets	subset	NOUN
ejpam-5567	1011	24	criteria	criterion	NOUN
ejpam-5567	1011	25	.	.	PUNCT
ejpam-5567	1012	1	in	in	ADP
ejpam-5567	1012	2	this	this	DET
ejpam-5567	1012	3	work	work	NOUN
ejpam-5567	1012	4	,	,	PUNCT
ejpam-5567	1012	5	a	a	DET
ejpam-5567	1012	6	few	few	ADJ
ejpam-5567	1012	7	operations	operation	NOUN
ejpam-5567	1012	8	are	be	AUX
ejpam-5567	1012	9	defined	define	VERB
ejpam-5567	1012	10	on	on	ADP
ejpam-5567	1012	11	soft	soft	ADJ
ejpam-5567	1012	12	sets	set	NOUN
ejpam-5567	1012	13	,	,	PUNCT
ejpam-5567	1012	14	which	which	PRON
ejpam-5567	1012	15	are	be	AUX
ejpam-5567	1012	16	explained	explain	VERB
ejpam-5567	1012	17	with	with	ADP
ejpam-5567	1012	18	suitable	suitable	ADJ
ejpam-5567	1012	19	examples	example	NOUN
ejpam-5567	1012	20	.	.	PUNCT
ejpam-5567	1013	1	furthermore	furthermore	ADV
ejpam-5567	1013	2	,	,	PUNCT
ejpam-5567	1013	3	three	three	NUM
ejpam-5567	1013	4	operations7intersection	operations7intersection	NOUN
ejpam-5567	1013	5	,	,	PUNCT
ejpam-5567	1013	6	complement	complement	NOUN
ejpam-5567	1013	7	,	,	PUNCT
ejpam-5567	1013	8	and	and	CCONJ
ejpam-5567	1013	9	difference	difference	NOUN
ejpam-5567	1013	10	of	of	ADP
ejpam-5567	1013	11	soft	soft	ADJ
ejpam-5567	1013	12	sets7are	sets7are	NOUN
ejpam-5567	1013	13	redefined	redefine	VERB
ejpam-5567	1013	14	,	,	PUNCT
ejpam-5567	1013	15	leaving	leave	VERB
ejpam-5567	1013	16	other	other	ADJ
ejpam-5567	1013	17	operations	operation	NOUN
ejpam-5567	1013	18	unchanged	unchanged	ADJ
ejpam-5567	1013	19	.	.	PUNCT
ejpam-5567	1014	1	upon	upon	SCONJ
ejpam-5567	1014	2	examining	examine	VERB
ejpam-5567	1014	3	other	other	ADJ
ejpam-5567	1014	4	operations	operation	NOUN
ejpam-5567	1014	5	based	base	VERB
ejpam-5567	1014	6	on	on	ADP
ejpam-5567	1014	7	these	these	DET
ejpam-5567	1014	8	redefined	redefine	VERB
ejpam-5567	1014	9	operations	operation	NOUN
ejpam-5567	1014	10	,	,	PUNCT
ejpam-5567	1014	11	acceptable	acceptable	ADJ
ejpam-5567	1014	12	results	result	NOUN
ejpam-5567	1014	13	were	be	AUX
ejpam-5567	1014	14	produced	produce	VERB
ejpam-5567	1014	15	,	,	PUNCT
ejpam-5567	1014	16	with	with	ADP
ejpam-5567	1014	17	better	well	ADJ
ejpam-5567	1014	18	examples	example	NOUN
ejpam-5567	1014	19	provided	provide	VERB
ejpam-5567	1014	20	for	for	ADP
ejpam-5567	1014	21	understanding	understanding	NOUN
ejpam-5567	1014	22	.	.	PUNCT
ejpam-5567	1015	1	in	in	ADP
ejpam-5567	1015	2	addition	addition	NOUN
ejpam-5567	1015	3	,	,	PUNCT
ejpam-5567	1015	4	a	a	DET
ejpam-5567	1015	5	new	new	ADJ
ejpam-5567	1015	6	structure	structure	NOUN
ejpam-5567	1015	7	is	be	AUX
ejpam-5567	1015	8	defined	define	VERB
ejpam-5567	1015	9	on	on	ADP
ejpam-5567	1015	10	soft	soft	ADJ
ejpam-5567	1015	11	sets	set	NOUN
ejpam-5567	1015	12	.	.	PUNCT
ejpam-5567	1016	1	this	this	DET
ejpam-5567	1016	2	structure	structure	NOUN
ejpam-5567	1016	3	,	,	PUNCT
ejpam-5567	1016	4	an	an	DET
ejpam-5567	1016	5	extension	extension	NOUN
ejpam-5567	1016	6	of	of	ADP
ejpam-5567	1016	7	soft	soft	ADJ
ejpam-5567	1016	8	sets	set	NOUN
ejpam-5567	1016	9	,	,	PUNCT
ejpam-5567	1016	10	uses	use	VERB
ejpam-5567	1016	11	two	two	NUM
ejpam-5567	1016	12	soft	soft	ADJ
ejpam-5567	1016	13	sets	set	NOUN
ejpam-5567	1016	14	for	for	ADP
ejpam-5567	1016	15	its	its	PRON
ejpam-5567	1016	16	generation	generation	NOUN
ejpam-5567	1016	17	and	and	CCONJ
ejpam-5567	1016	18	is	be	AUX
ejpam-5567	1016	19	named	name	VERB
ejpam-5567	1016	20	the	the	DET
ejpam-5567	1016	21	binary	binary	ADJ
ejpam-5567	1016	22	soft	soft	ADJ
ejpam-5567	1016	23	set	set	NOUN
ejpam-5567	1016	24	.	.	PUNCT
ejpam-5567	1017	1	this	this	PRON
ejpam-5567	1017	2	is	be	AUX
ejpam-5567	1017	3	a	a	DET
ejpam-5567	1017	4	super	super	ADV
ejpam-5567	1017	5	strong	strong	ADJ
ejpam-5567	1017	6	structure	structure	NOUN
ejpam-5567	1017	7	as	as	SCONJ
ejpam-5567	1017	8	it	it	PRON
ejpam-5567	1017	9	handles	handle	VERB
ejpam-5567	1017	10	two	two	NUM
ejpam-5567	1017	11	initial	initial	ADJ
ejpam-5567	1017	12	universes	universe	NOUN
ejpam-5567	1017	13	of	of	ADP
ejpam-5567	1017	14	discourse	discourse	NOUN
ejpam-5567	1017	15	.	.	PUNCT
ejpam-5567	1018	1	based	base	VERB
ejpam-5567	1018	2	on	on	ADP
ejpam-5567	1018	3	the	the	DET
ejpam-5567	1018	4	binary	binary	ADJ
ejpam-5567	1018	5	soft	soft	ADJ
ejpam-5567	1018	6	set	set	NOUN
ejpam-5567	1018	7	,	,	PUNCT
ejpam-5567	1018	8	the	the	DET
ejpam-5567	1018	9	basic	basic	ADJ
ejpam-5567	1018	10	operators	operator	NOUN
ejpam-5567	1018	11	such	such	ADJ
ejpam-5567	1018	12	as	as	ADP
ejpam-5567	1018	13	binary	binary	ADJ
ejpam-5567	1018	14	soft	soft	ADJ
ejpam-5567	1018	15	subsets	subset	NOUN
ejpam-5567	1018	16	,	,	PUNCT
ejpam-5567	1018	17	binary	binary	ADJ
ejpam-5567	1018	18	soft	soft	ADJ
ejpam-5567	1018	19	absolute	absolute	ADJ
ejpam-5567	1018	20	set	set	NOUN
ejpam-5567	1018	21	,	,	PUNCT
ejpam-5567	1018	22	binary	binary	ADJ
ejpam-5567	1018	23	soft	soft	ADJ
ejpam-5567	1018	24	union	union	NOUN
ejpam-5567	1018	25	,	,	PUNCT
ejpam-5567	1018	26	binary	binary	ADJ
ejpam-5567	1018	27	soft	soft	ADJ
ejpam-5567	1018	28	intersection	intersection	NOUN
ejpam-5567	1018	29	,	,	PUNCT
ejpam-5567	1018	30	and	and	CCONJ
ejpam-5567	1018	31	binary	binary	ADJ
ejpam-5567	1018	32	soft	soft	ADJ
ejpam-5567	1018	33	difference	difference	NOUN
ejpam-5567	1018	34	are	be	AUX
ejpam-5567	1018	35	defined	define	VERB
ejpam-5567	1018	36	.	.	PUNCT
ejpam-5567	1019	1	two	two	NUM
ejpam-5567	1019	2	more	more	ADJ
ejpam-5567	1019	3	operators	operator	NOUN
ejpam-5567	1019	4	,	,	PUNCT
ejpam-5567	1019	5	and	and	CCONJ
ejpam-5567	1019	6	and	and	CCONJ
ejpam-5567	1019	7	or	or	CCONJ
ejpam-5567	1019	8	,	,	PUNCT
ejpam-5567	1019	9	which	which	PRON
ejpam-5567	1019	10	play	play	VERB
ejpam-5567	1019	11	important	important	ADJ
ejpam-5567	1019	12	roles	role	NOUN
ejpam-5567	1019	13	in	in	ADP
ejpam-5567	1019	14	the	the	DET
ejpam-5567	1019	15	generation	generation	NOUN
ejpam-5567	1019	16	of	of	ADP
ejpam-5567	1019	17	some	some	DET
ejpam-5567	1019	18	results	result	NOUN
ejpam-5567	1019	19	,	,	PUNCT
ejpam-5567	1019	20	are	be	AUX
ejpam-5567	1019	21	also	also	ADV
ejpam-5567	1019	22	defined	define	VERB
ejpam-5567	1019	23	.	.	PUNCT
ejpam-5567	1020	1	all	all	DET
ejpam-5567	1020	2	these	these	DET
ejpam-5567	1020	3	operators	operator	NOUN
ejpam-5567	1020	4	are	be	AUX
ejpam-5567	1020	5	explained	explain	VERB
ejpam-5567	1020	6	with	with	ADP
ejpam-5567	1020	7	intelligible	intelligible	ADJ
ejpam-5567	1020	8	examples	example	NOUN
ejpam-5567	1020	9	.	.	PUNCT
ejpam-5567	1021	1	soft	soft	ADJ
ejpam-5567	1021	2	set	set	NOUN
ejpam-5567	1021	3	theory	theory	NOUN
ejpam-5567	1021	4	is	be	AUX
ejpam-5567	1021	5	used	use	VERB
ejpam-5567	1021	6	in	in	ADP
ejpam-5567	1021	7	both	both	PRON
ejpam-5567	1021	8	applied	apply	VERB
ejpam-5567	1021	9	and	and	CCONJ
ejpam-5567	1021	10	pure	pure	ADJ
ejpam-5567	1021	11	mathematics	mathematic	NOUN
ejpam-5567	1021	12	.	.	PUNCT
ejpam-5567	1022	1	it	it	PRON
ejpam-5567	1022	2	is	be	AUX
ejpam-5567	1022	3	extensively	extensively	ADV
ejpam-5567	1022	4	used	use	VERB
ejpam-5567	1022	5	in	in	ADP
ejpam-5567	1022	6	engineering	engineering	NOUN
ejpam-5567	1022	7	and	and	CCONJ
ejpam-5567	1022	8	decision	decision	NOUN
ejpam-5567	1022	9	-	-	PUNCT
ejpam-5567	1022	10	making	make	VERB
ejpam-5567	1022	11	problems	problem	NOUN
ejpam-5567	1022	12	,	,	PUNCT
ejpam-5567	1022	13	and	and	CCONJ
ejpam-5567	1022	14	in	in	ADP
ejpam-5567	1022	15	pure	pure	ADJ
ejpam-5567	1022	16	mathematics	mathematic	NOUN
ejpam-5567	1022	17	,	,	PUNCT
ejpam-5567	1022	18	it	it	PRON
ejpam-5567	1022	19	is	be	AUX
ejpam-5567	1022	20	applied	apply	VERB
ejpam-5567	1022	21	in	in	ADP
ejpam-5567	1022	22	topology	topology	NOUN
ejpam-5567	1022	23	,	,	PUNCT
ejpam-5567	1022	24	group	group	NOUN
ejpam-5567	1022	25	theory	theory	NOUN
ejpam-5567	1022	26	,	,	PUNCT
ejpam-5567	1022	27	real	real	ADJ
ejpam-5567	1022	28	analysis	analysis	NOUN
ejpam-5567	1022	29	,	,	PUNCT
ejpam-5567	1022	30	fractional	fractional	ADJ
ejpam-5567	1022	31	calculus	calculus	NOUN
ejpam-5567	1022	32	,	,	PUNCT
ejpam-5567	1022	33	and	and	CCONJ
ejpam-5567	1022	34	operation	operation	NOUN
ejpam-5567	1022	35	theory	theory	NOUN
ejpam-5567	1022	36	.	.	PUNCT
ejpam-5567	1023	1	this	this	DET
ejpam-5567	1023	2	particular	particular	ADJ
ejpam-5567	1023	3	work	work	NOUN
ejpam-5567	1023	4	extends	extend	VERB
ejpam-5567	1023	5	binary	binary	ADJ
ejpam-5567	1023	6	soft	soft	ADJ
ejpam-5567	1023	7	set	set	NOUN
ejpam-5567	1023	8	theory	theory	NOUN
ejpam-5567	1023	9	into	into	ADP
ejpam-5567	1023	10	ternary	ternary	ADJ
ejpam-5567	1023	11	soft	soft	ADJ
ejpam-5567	1023	12	set	set	NOUN
ejpam-5567	1023	13	theory	theory	NOUN
ejpam-5567	1023	14	,	,	PUNCT
ejpam-5567	1023	15	which	which	PRON
ejpam-5567	1023	16	uses	use	VERB
ejpam-5567	1023	17	three	three	NUM
ejpam-5567	1023	18	universal	universal	ADJ
ejpam-5567	1023	19	sets	set	NOUN
ejpam-5567	1023	20	and	and	CCONJ
ejpam-5567	1023	21	three	three	NUM
ejpam-5567	1023	22	possible	possible	ADJ
ejpam-5567	1023	23	power	power	NOUN
ejpam-5567	1023	24	sets	set	NOUN
ejpam-5567	1023	25	.	.	PUNCT
ejpam-5567	1024	1	basic	basic	ADJ
ejpam-5567	1024	2	operations	operation	NOUN
ejpam-5567	1024	3	for	for	ADP
ejpam-5567	1024	4	ternary	ternary	ADJ
ejpam-5567	1024	5	soft	soft	ADJ
ejpam-5567	1024	6	sets	set	NOUN
ejpam-5567	1024	7	are	be	AUX
ejpam-5567	1024	8	developed	develop	VERB
ejpam-5567	1024	9	,	,	PUNCT
ejpam-5567	1024	10	and	and	CCONJ
ejpam-5567	1024	11	a	a	DET
ejpam-5567	1024	12	few	few	ADJ
ejpam-5567	1024	13	basic	basic	ADJ
ejpam-5567	1024	14	theorems	theorem	NOUN
ejpam-5567	1024	15	and	and	CCONJ
ejpam-5567	1024	16	propositions	proposition	NOUN
ejpam-5567	1024	17	are	be	AUX
ejpam-5567	1024	18	also	also	ADV
ejpam-5567	1024	19	studied	study	VERB
ejpam-5567	1024	20	.	.	PUNCT
ejpam-5567	1025	1	examples	example	NOUN
ejpam-5567	1025	2	are	be	AUX
ejpam-5567	1025	3	generated	generate	VERB
ejpam-5567	1025	4	for	for	ADP
ejpam-5567	1025	5	clarification	clarification	NOUN
ejpam-5567	1025	6	of	of	ADP
ejpam-5567	1025	7	these	these	DET
ejpam-5567	1025	8	operations	operation	NOUN
ejpam-5567	1025	9	,	,	PUNCT
ejpam-5567	1025	10	results	result	NOUN
ejpam-5567	1025	11	,	,	PUNCT
ejpam-5567	1025	12	and	and	CCONJ
ejpam-5567	1025	13	propositions	proposition	NOUN
ejpam-5567	1025	14	.	.	PUNCT
ejpam-5567	1026	1	in	in	ADP
ejpam-5567	1026	2	continuation	continuation	NOUN
ejpam-5567	1026	3	,	,	PUNCT
ejpam-5567	1026	4	one	one	NUM
ejpam-5567	1026	5	of	of	ADP
ejpam-5567	1026	6	the	the	DET
ejpam-5567	1026	7	most	most	ADV
ejpam-5567	1026	8	interesting	interesting	ADJ
ejpam-5567	1026	9	and	and	CCONJ
ejpam-5567	1026	10	important	important	ADJ
ejpam-5567	1026	11	structures	structure	NOUN
ejpam-5567	1026	12	is	be	AUX
ejpam-5567	1026	13	discussed	discuss	VERB
ejpam-5567	1026	14	based	base	VERB
ejpam-5567	1026	15	on	on	ADP
ejpam-5567	1026	16	this	this	DET
ejpam-5567	1026	17	newly	newly	ADV
ejpam-5567	1026	18	defined	define	VERB
ejpam-5567	1026	19	theory	theory	NOUN
ejpam-5567	1026	20	:	:	PUNCT
ejpam-5567	1026	21	the	the	DET
ejpam-5567	1026	22	ternary	ternary	ADJ
ejpam-5567	1026	23	soft	soft	ADJ
ejpam-5567	1026	24	topological	topological	ADJ
ejpam-5567	1026	25	space	space	NOUN
ejpam-5567	1026	26	,	,	PUNCT
ejpam-5567	1026	27	defined	define	VERB
ejpam-5567	1026	28	on	on	ADP
ejpam-5567	1026	29	a	a	DET
ejpam-5567	1026	30	ternary	ternary	ADJ
ejpam-5567	1026	31	soft	soft	ADJ
ejpam-5567	1026	32	set	set	NOUN
ejpam-5567	1026	33	.	.	PUNCT
ejpam-5567	1027	1	m.	m.	NOUN
ejpam-5567	1027	2	nawaz	nawaz	PROPN
ejpam-5567	1027	3	et	et	PROPN
ejpam-5567	1027	4	al	al	PROPN
ejpam-5567	1027	5	.	.	PUNCT
ejpam-5567	1027	6	/	/	SYM
ejpam-5567	1027	7	eur	eur	PROPN
ejpam-5567	1027	8	.	.	PUNCT
ejpam-5567	1028	1	j.	j.	PROPN
ejpam-5567	1028	2	pure	pure	PROPN
ejpam-5567	1028	3	appl	appl	PROPN
ejpam-5567	1028	4	.	.	PROPN
ejpam-5567	1028	5	math	math	PROPN
ejpam-5567	1028	6	,	,	PUNCT
ejpam-5567	1028	7	18	18	NUM
ejpam-5567	1028	8	(	(	PUNCT
ejpam-5567	1028	9	1	1	NUM
ejpam-5567	1028	10	)	)	PUNCT
ejpam-5567	1028	11	(	(	PUNCT
ejpam-5567	1028	12	2025	2025	NUM
ejpam-5567	1028	13	)	)	PUNCT
ejpam-5567	1028	14	,	,	PUNCT
ejpam-5567	1028	15	5567	5567	NUM
ejpam-5567	1028	16	43	43	NUM
ejpam-5567	1028	17	of	of	ADP
ejpam-5567	1028	18	45	45	NUM
ejpam-5567	1028	19	soft	soft	ADJ
ejpam-5567	1028	20	open	open	ADJ
ejpam-5567	1028	21	sets	set	NOUN
ejpam-5567	1028	22	,	,	PUNCT
ejpam-5567	1028	23	soft	soft	ADJ
ejpam-5567	1028	24	closed	closed	ADJ
ejpam-5567	1028	25	sets	set	NOUN
ejpam-5567	1028	26	,	,	PUNCT
ejpam-5567	1028	27	soft	soft	ADJ
ejpam-5567	1028	28	interior	interior	NOUN
ejpam-5567	1028	29	,	,	PUNCT
ejpam-5567	1028	30	soft	soft	ADJ
ejpam-5567	1028	31	closure	closure	NOUN
ejpam-5567	1028	32	,	,	PUNCT
ejpam-5567	1028	33	and	and	CCONJ
ejpam-5567	1028	34	the	the	DET
ejpam-5567	1028	35	interplay	interplay	NOUN
ejpam-5567	1028	36	between	between	ADP
ejpam-5567	1028	37	these	these	DET
ejpam-5567	1028	38	concepts	concept	NOUN
ejpam-5567	1028	39	have	have	AUX
ejpam-5567	1028	40	been	be	AUX
ejpam-5567	1028	41	addressed	address	VERB
ejpam-5567	1028	42	.	.	PUNCT
ejpam-5567	1029	1	examples	example	NOUN
ejpam-5567	1029	2	are	be	AUX
ejpam-5567	1029	3	provided	provide	VERB
ejpam-5567	1029	4	for	for	ADP
ejpam-5567	1029	5	a	a	DET
ejpam-5567	1029	6	better	well	ADJ
ejpam-5567	1029	7	understanding	understanding	NOUN
ejpam-5567	1029	8	of	of	ADP
ejpam-5567	1029	9	these	these	DET
ejpam-5567	1029	10	results	result	NOUN
ejpam-5567	1029	11	.	.	PUNCT
ejpam-5567	1030	1	investigating	investigate	VERB
ejpam-5567	1030	2	the	the	DET
ejpam-5567	1030	3	generalization	generalization	NOUN
ejpam-5567	1030	4	of	of	ADP
ejpam-5567	1030	5	ternary	ternary	ADJ
ejpam-5567	1030	6	soft	soft	ADJ
ejpam-5567	1030	7	sets	set	NOUN
ejpam-5567	1030	8	and	and	CCONJ
ejpam-5567	1030	9	ternary	ternary	ADJ
ejpam-5567	1030	10	soft	soft	ADJ
ejpam-5567	1030	11	topological	topological	ADJ
ejpam-5567	1030	12	structures	structure	NOUN
ejpam-5567	1030	13	to	to	ADP
ejpam-5567	1030	14	higher	high	ADJ
ejpam-5567	1030	15	dimensions	dimension	NOUN
ejpam-5567	1030	16	is	be	AUX
ejpam-5567	1030	17	an	an	DET
ejpam-5567	1030	18	interesting	interesting	ADJ
ejpam-5567	1030	19	avenue	avenue	NOUN
ejpam-5567	1030	20	for	for	ADP
ejpam-5567	1030	21	future	future	ADJ
ejpam-5567	1030	22	research	research	NOUN
ejpam-5567	1030	23	.	.	PUNCT
ejpam-5567	1031	1	expanding	expand	VERB
ejpam-5567	1031	2	this	this	DET
ejpam-5567	1031	3	approach	approach	NOUN
ejpam-5567	1031	4	to	to	ADP
ejpam-5567	1031	5	n	n	CCONJ
ejpam-5567	1031	6	-	-	PUNCT
ejpam-5567	1031	7	dimensional	dimensional	ADJ
ejpam-5567	1031	8	soft	soft	ADJ
ejpam-5567	1031	9	sets	set	NOUN
ejpam-5567	1031	10	(	(	PUNCT
ejpam-5567	1031	11	where	where	SCONJ
ejpam-5567	1031	12	n	n	CCONJ
ejpam-5567	1031	13	>	>	X
ejpam-5567	1031	14	3	3	X
ejpam-5567	1031	15	)	)	PUNCT
ejpam-5567	1031	16	could	could	AUX
ejpam-5567	1031	17	offer	offer	VERB
ejpam-5567	1031	18	more	more	ADJ
ejpam-5567	1031	19	flexibility	flexibility	NOUN
ejpam-5567	1031	20	and	and	CCONJ
ejpam-5567	1031	21	better	well	ADJ
ejpam-5567	1031	22	manage	manage	VERB
ejpam-5567	1031	23	more	more	ADV
ejpam-5567	1031	24	intricate	intricate	ADJ
ejpam-5567	1031	25	linkages	linkage	NOUN
ejpam-5567	1031	26	between	between	ADP
ejpam-5567	1031	27	various	various	ADJ
ejpam-5567	1031	28	universes	universe	NOUN
ejpam-5567	1031	29	and	and	CCONJ
ejpam-5567	1031	30	decision	decision	NOUN
ejpam-5567	1031	31	factors	factor	NOUN
ejpam-5567	1031	32	.	.	PUNCT
ejpam-5567	1032	1	the	the	DET
ejpam-5567	1032	2	current	current	ADJ
ejpam-5567	1032	3	study	study	NOUN
ejpam-5567	1032	4	focuses	focus	VERB
ejpam-5567	1032	5	on	on	ADP
ejpam-5567	1032	6	ternary	ternary	ADJ
ejpam-5567	1032	7	soft	soft	ADJ
ejpam-5567	1032	8	sets	set	NOUN
ejpam-5567	1032	9	based	base	VERB
ejpam-5567	1032	10	on	on	ADP
ejpam-5567	1032	11	three	three	NUM
ejpam-5567	1032	12	initial	initial	ADJ
ejpam-5567	1032	13	universal	universal	ADJ
ejpam-5567	1032	14	sets	set	NOUN
ejpam-5567	1032	15	.	.	PUNCT
ejpam-5567	1033	1	furthermore	furthermore	ADV
ejpam-5567	1033	2	,	,	PUNCT
ejpam-5567	1033	3	ternary	ternary	ADJ
ejpam-5567	1033	4	soft	soft	ADJ
ejpam-5567	1033	5	sets	set	NOUN
ejpam-5567	1033	6	may	may	AUX
ejpam-5567	1033	7	be	be	AUX
ejpam-5567	1033	8	better	well	ADV
ejpam-5567	1033	9	able	able	ADJ
ejpam-5567	1033	10	to	to	PART
ejpam-5567	1033	11	represent	represent	VERB
ejpam-5567	1033	12	uncertainty	uncertainty	NOUN
ejpam-5567	1033	13	if	if	SCONJ
ejpam-5567	1033	14	their	their	PRON
ejpam-5567	1033	15	operations	operation	NOUN
ejpam-5567	1033	16	include	include	VERB
ejpam-5567	1033	17	fuzzy	fuzzy	ADJ
ejpam-5567	1033	18	or	or	CCONJ
ejpam-5567	1033	19	probabilistic	probabilistic	ADJ
ejpam-5567	1033	20	components	component	NOUN
ejpam-5567	1033	21	.	.	PUNCT
ejpam-5567	1034	1	the	the	DET
ejpam-5567	1034	2	handling	handling	NOUN
ejpam-5567	1034	3	of	of	ADP
ejpam-5567	1034	4	more	more	ADJ
ejpam-5567	1034	5	complex	complex	ADJ
ejpam-5567	1034	6	data	datum	NOUN
ejpam-5567	1034	7	,	,	PUNCT
ejpam-5567	1034	8	which	which	PRON
ejpam-5567	1034	9	is	be	AUX
ejpam-5567	1034	10	typical	typical	ADJ
ejpam-5567	1034	11	in	in	ADP
ejpam-5567	1034	12	real	real	ADJ
ejpam-5567	1034	13	-	-	PUNCT
ejpam-5567	1034	14	world	world	NOUN
ejpam-5567	1034	15	situations	situation	NOUN
ejpam-5567	1034	16	,	,	PUNCT
ejpam-5567	1034	17	would	would	AUX
ejpam-5567	1034	18	be	be	AUX
ejpam-5567	1034	19	made	make	VERB
ejpam-5567	1034	20	possible	possible	ADJ
ejpam-5567	1034	21	by	by	ADP
ejpam-5567	1034	22	permitting	permit	VERB
ejpam-5567	1034	23	“	"	PUNCT
ejpam-5567	1034	24	and	and	CCONJ
ejpam-5567	1034	25	”	"	PUNCT
ejpam-5567	1034	26	and	and	CCONJ
ejpam-5567	1034	27	“	"	PUNCT
ejpam-5567	1034	28	or	or	CCONJ
ejpam-5567	1034	29	”	"	PUNCT
ejpam-5567	1034	30	operations	operation	NOUN
ejpam-5567	1034	31	to	to	PART
ejpam-5567	1034	32	operate	operate	VERB
ejpam-5567	1034	33	with	with	ADP
ejpam-5567	1034	34	fuzzy	fuzzy	ADJ
ejpam-5567	1034	35	or	or	CCONJ
ejpam-5567	1034	36	probabilistic	probabilistic	ADJ
ejpam-5567	1034	37	decision	decision	NOUN
ejpam-5567	1034	38	variables	variable	NOUN
ejpam-5567	1034	39	.	.	PUNCT
ejpam-5567	1035	1	the	the	DET
ejpam-5567	1035	2	creation	creation	NOUN
ejpam-5567	1035	3	of	of	ADP
ejpam-5567	1035	4	algorithms	algorithm	NOUN
ejpam-5567	1035	5	for	for	ADP
ejpam-5567	1035	6	effective	effective	ADJ
ejpam-5567	1035	7	computing	computing	NOUN
ejpam-5567	1035	8	and	and	CCONJ
ejpam-5567	1035	9	optimization	optimization	NOUN
ejpam-5567	1035	10	is	be	AUX
ejpam-5567	1035	11	another	another	DET
ejpam-5567	1035	12	crucial	crucial	ADJ
ejpam-5567	1035	13	avenue	avenue	NOUN
ejpam-5567	1035	14	.	.	PUNCT
ejpam-5567	1036	1	the	the	DET
ejpam-5567	1036	2	development	development	NOUN
ejpam-5567	1036	3	of	of	ADP
ejpam-5567	1036	4	computing	compute	VERB
ejpam-5567	1036	5	techniques	technique	NOUN
ejpam-5567	1036	6	for	for	ADP
ejpam-5567	1036	7	ternary	ternary	ADJ
ejpam-5567	1036	8	soft	soft	ADJ
ejpam-5567	1036	9	set	set	NOUN
ejpam-5567	1036	10	operations	operation	NOUN
ejpam-5567	1036	11	,	,	PUNCT
ejpam-5567	1036	12	such	such	ADJ
ejpam-5567	1036	13	as	as	ADP
ejpam-5567	1036	14	union	union	NOUN
ejpam-5567	1036	15	,	,	PUNCT
ejpam-5567	1036	16	intersection	intersection	NOUN
ejpam-5567	1036	17	,	,	PUNCT
ejpam-5567	1036	18	complement	complement	NOUN
ejpam-5567	1036	19	,	,	PUNCT
ejpam-5567	1036	20	difference	difference	NOUN
ejpam-5567	1036	21	,	,	PUNCT
ejpam-5567	1036	22	and	and	CCONJ
ejpam-5567	1036	23	symmetric	symmetric	ADJ
ejpam-5567	1036	24	difference	difference	NOUN
ejpam-5567	1036	25	,	,	PUNCT
ejpam-5567	1036	26	could	could	AUX
ejpam-5567	1036	27	help	help	VERB
ejpam-5567	1036	28	the	the	DET
ejpam-5567	1036	29	subject	subject	NOUN
ejpam-5567	1036	30	and	and	CCONJ
ejpam-5567	1036	31	make	make	VERB
ejpam-5567	1036	32	it	it	PRON
ejpam-5567	1036	33	more	more	ADV
ejpam-5567	1036	34	useful	useful	ADJ
ejpam-5567	1036	35	for	for	ADP
ejpam-5567	1036	36	decision	decision	NOUN
ejpam-5567	1036	37	support	support	NOUN
ejpam-5567	1036	38	systems	system	NOUN
ejpam-5567	1036	39	.	.	PUNCT
ejpam-5567	1037	1	furthermore	furthermore	ADV
ejpam-5567	1037	2	,	,	PUNCT
ejpam-5567	1037	3	multi	multi	ADJ
ejpam-5567	1037	4	-	-	ADJ
ejpam-5567	1037	5	criteria	criteria	ADJ
ejpam-5567	1037	6	decision	decision	NOUN
ejpam-5567	1037	7	analysis	analysis	NOUN
ejpam-5567	1037	8	,	,	PUNCT
ejpam-5567	1037	9	resource	resource	NOUN
ejpam-5567	1037	10	allocation	allocation	NOUN
ejpam-5567	1037	11	,	,	PUNCT
ejpam-5567	1037	12	and	and	CCONJ
ejpam-5567	1037	13	complicated	complicated	ADJ
ejpam-5567	1037	14	decision	decision	NOUN
ejpam-5567	1037	15	-	-	PUNCT
ejpam-5567	1037	16	making	make	VERB
ejpam-5567	1037	17	problems	problem	NOUN
ejpam-5567	1037	18	could	could	AUX
ejpam-5567	1037	19	be	be	AUX
ejpam-5567	1037	20	addressed	address	VERB
ejpam-5567	1037	21	by	by	ADP
ejpam-5567	1037	22	optimization	optimization	NOUN
ejpam-5567	1037	23	methods	method	NOUN
ejpam-5567	1037	24	customized	customize	VERB
ejpam-5567	1037	25	for	for	ADP
ejpam-5567	1037	26	ternary	ternary	ADJ
ejpam-5567	1037	27	soft	soft	ADJ
ejpam-5567	1037	28	sets	set	NOUN
ejpam-5567	1037	29	.	.	PUNCT
ejpam-5567	1038	1	testing	testing	NOUN
ejpam-5567	1038	2	in	in	ADP
ejpam-5567	1038	3	a	a	DET
ejpam-5567	1038	4	variety	variety	NOUN
ejpam-5567	1038	5	of	of	ADP
ejpam-5567	1038	6	domains	domain	NOUN
ejpam-5567	1038	7	,	,	PUNCT
ejpam-5567	1038	8	including	include	VERB
ejpam-5567	1038	9	engineering	engineering	NOUN
ejpam-5567	1038	10	,	,	PUNCT
ejpam-5567	1038	11	social	social	ADJ
ejpam-5567	1038	12	sciences	science	NOUN
ejpam-5567	1038	13	,	,	PUNCT
ejpam-5567	1038	14	and	and	CCONJ
ejpam-5567	1038	15	medical	medical	ADJ
ejpam-5567	1038	16	decision	decision	NOUN
ejpam-5567	1038	17	-	-	PUNCT
ejpam-5567	1038	18	making	making	NOUN
ejpam-5567	1038	19	,	,	PUNCT
ejpam-5567	1038	20	is	be	AUX
ejpam-5567	1038	21	necessary	necessary	ADJ
ejpam-5567	1038	22	to	to	PART
ejpam-5567	1038	23	investigate	investigate	VERB
ejpam-5567	1038	24	the	the	DET
ejpam-5567	1038	25	practicality	practicality	NOUN
ejpam-5567	1038	26	of	of	ADP
ejpam-5567	1038	27	ternary	ternary	ADJ
ejpam-5567	1038	28	soft	soft	ADJ
ejpam-5567	1038	29	sets	set	NOUN
ejpam-5567	1038	30	.	.	PUNCT
ejpam-5567	1039	1	in	in	ADP
ejpam-5567	1039	2	these	these	DET
ejpam-5567	1039	3	domains	domain	NOUN
ejpam-5567	1039	4	,	,	PUNCT
ejpam-5567	1039	5	the	the	DET
ejpam-5567	1039	6	many	many	ADJ
ejpam-5567	1039	7	levels	level	NOUN
ejpam-5567	1039	8	of	of	ADP
ejpam-5567	1039	9	uncertainty	uncertainty	NOUN
ejpam-5567	1039	10	that	that	PRON
ejpam-5567	1039	11	frequently	frequently	ADV
ejpam-5567	1039	12	define	define	VERB
ejpam-5567	1039	13	complicated	complicated	ADJ
ejpam-5567	1039	14	decision	decision	NOUN
ejpam-5567	1039	15	-	-	PUNCT
ejpam-5567	1039	16	making	making	NOUN
ejpam-5567	1039	17	can	can	AUX
ejpam-5567	1039	18	be	be	AUX
ejpam-5567	1039	19	modeled	model	VERB
ejpam-5567	1039	20	using	use	VERB
ejpam-5567	1039	21	ternary	ternary	ADJ
ejpam-5567	1039	22	soft	soft	ADJ
ejpam-5567	1039	23	sets	set	NOUN
ejpam-5567	1039	24	.	.	PUNCT
ejpam-5567	1040	1	they	they	PRON
ejpam-5567	1040	2	could	could	AUX
ejpam-5567	1040	3	assist	assist	VERB
ejpam-5567	1040	4	in	in	ADP
ejpam-5567	1040	5	representing	represent	VERB
ejpam-5567	1040	6	ambiguous	ambiguous	ADJ
ejpam-5567	1040	7	information	information	NOUN
ejpam-5567	1040	8	from	from	ADP
ejpam-5567	1040	9	patient	patient	ADJ
ejpam-5567	1040	10	data	datum	NOUN
ejpam-5567	1040	11	and	and	CCONJ
ejpam-5567	1040	12	treatment	treatment	NOUN
ejpam-5567	1040	13	options	option	NOUN
ejpam-5567	1040	14	,	,	PUNCT
ejpam-5567	1040	15	for	for	ADP
ejpam-5567	1040	16	instance	instance	NOUN
ejpam-5567	1040	17	,	,	PUNCT
ejpam-5567	1040	18	in	in	ADP
ejpam-5567	1040	19	the	the	DET
ejpam-5567	1040	20	medical	medical	ADJ
ejpam-5567	1040	21	field	field	NOUN
ejpam-5567	1040	22	.	.	PUNCT
ejpam-5567	1041	1	they	they	PRON
ejpam-5567	1041	2	could	could	AUX
ejpam-5567	1041	3	also	also	ADV
ejpam-5567	1041	4	be	be	AUX
ejpam-5567	1041	5	used	use	VERB
ejpam-5567	1041	6	in	in	ADP
ejpam-5567	1041	7	engineering	engineering	NOUN
ejpam-5567	1041	8	to	to	PART
ejpam-5567	1041	9	solve	solve	VERB
ejpam-5567	1041	10	resource	resource	NOUN
ejpam-5567	1041	11	management	management	NOUN
ejpam-5567	1041	12	issues	issue	NOUN
ejpam-5567	1041	13	or	or	CCONJ
ejpam-5567	1041	14	systems	system	NOUN
ejpam-5567	1041	15	with	with	ADP
ejpam-5567	1041	16	several	several	ADJ
ejpam-5567	1041	17	unknown	unknown	ADJ
ejpam-5567	1041	18	parameters	parameter	NOUN
ejpam-5567	1041	19	.	.	PUNCT
ejpam-5567	1042	1	another	another	DET
ejpam-5567	1042	2	area	area	NOUN
ejpam-5567	1042	3	of	of	ADP
ejpam-5567	1042	4	study	study	NOUN
ejpam-5567	1042	5	would	would	AUX
ejpam-5567	1042	6	be	be	AUX
ejpam-5567	1042	7	hybrid	hybrid	ADJ
ejpam-5567	1042	8	soft	soft	ADJ
ejpam-5567	1042	9	set	set	NOUN
ejpam-5567	1042	10	models	model	NOUN
ejpam-5567	1042	11	,	,	PUNCT
ejpam-5567	1042	12	which	which	PRON
ejpam-5567	1042	13	combine	combine	VERB
ejpam-5567	1042	14	ternary	ternary	ADJ
ejpam-5567	1042	15	soft	soft	ADJ
ejpam-5567	1042	16	sets	set	NOUN
ejpam-5567	1042	17	with	with	ADP
ejpam-5567	1042	18	other	other	ADJ
ejpam-5567	1042	19	mathematical	mathematical	ADJ
ejpam-5567	1042	20	tools	tool	NOUN
ejpam-5567	1042	21	such	such	ADJ
ejpam-5567	1042	22	as	as	ADP
ejpam-5567	1042	23	interval	interval	NOUN
ejpam-5567	1042	24	-	-	PUNCT
ejpam-5567	1042	25	valued	value	VERB
ejpam-5567	1042	26	fuzzy	fuzzy	ADJ
ejpam-5567	1042	27	sets	set	NOUN
ejpam-5567	1042	28	,	,	PUNCT
ejpam-5567	1042	29	fuzzy	fuzzy	ADJ
ejpam-5567	1042	30	sets	set	NOUN
ejpam-5567	1042	31	,	,	PUNCT
ejpam-5567	1042	32	or	or	CCONJ
ejpam-5567	1042	33	rough	rough	ADJ
ejpam-5567	1042	34	sets	set	NOUN
ejpam-5567	1042	35	.	.	PUNCT
ejpam-5567	1043	1	by	by	ADP
ejpam-5567	1043	2	combining	combine	VERB
ejpam-5567	1043	3	the	the	DET
ejpam-5567	1043	4	best	good	ADJ
ejpam-5567	1043	5	features	feature	NOUN
ejpam-5567	1043	6	of	of	ADP
ejpam-5567	1043	7	several	several	ADJ
ejpam-5567	1043	8	strategies	strategy	NOUN
ejpam-5567	1043	9	,	,	PUNCT
ejpam-5567	1043	10	these	these	DET
ejpam-5567	1043	11	hybrid	hybrid	NOUN
ejpam-5567	1043	12	models	model	NOUN
ejpam-5567	1043	13	may	may	AUX
ejpam-5567	1043	14	provide	provide	VERB
ejpam-5567	1043	15	more	more	ADV
ejpam-5567	1043	16	reliable	reliable	ADJ
ejpam-5567	1043	17	and	and	CCONJ
ejpam-5567	1043	18	flexible	flexible	ADJ
ejpam-5567	1043	19	answers	answer	NOUN
ejpam-5567	1043	20	for	for	ADP
ejpam-5567	1043	21	making	make	VERB
ejpam-5567	1043	22	decisions	decision	NOUN
ejpam-5567	1043	23	in	in	ADP
ejpam-5567	1043	24	the	the	DET
ejpam-5567	1043	25	face	face	NOUN
ejpam-5567	1043	26	of	of	ADP
ejpam-5567	1043	27	uncertainty	uncertainty	NOUN
ejpam-5567	1043	28	.	.	PUNCT
ejpam-5567	1044	1	furthermore	furthermore	ADV
ejpam-5567	1044	2	,	,	PUNCT
ejpam-5567	1044	3	combining	combine	VERB
ejpam-5567	1044	4	ternary	ternary	ADJ
ejpam-5567	1044	5	soft	soft	ADJ
ejpam-5567	1044	6	sets	set	NOUN
ejpam-5567	1044	7	with	with	ADP
ejpam-5567	1044	8	machine	machine	NOUN
ejpam-5567	1044	9	learning	learning	NOUN
ejpam-5567	1044	10	methods	method	NOUN
ejpam-5567	1044	11	may	may	AUX
ejpam-5567	1044	12	create	create	VERB
ejpam-5567	1044	13	new	new	ADJ
ejpam-5567	1044	14	prospects	prospect	NOUN
ejpam-5567	1044	15	in	in	ADP
ejpam-5567	1044	16	fields	field	NOUN
ejpam-5567	1044	17	where	where	SCONJ
ejpam-5567	1044	18	complexity	complexity	NOUN
ejpam-5567	1044	19	and	and	CCONJ
ejpam-5567	1044	20	uncertainty	uncertainty	NOUN
ejpam-5567	1044	21	are	be	AUX
ejpam-5567	1044	22	crucial	crucial	ADJ
ejpam-5567	1044	23	,	,	PUNCT
ejpam-5567	1044	24	such	such	ADJ
ejpam-5567	1044	25	as	as	ADP
ejpam-5567	1044	26	data	data	NOUN
ejpam-5567	1044	27	mining	mining	NOUN
ejpam-5567	1044	28	and	and	CCONJ
ejpam-5567	1044	29	pattern	pattern	NOUN
ejpam-5567	1044	30	identification	identification	NOUN
ejpam-5567	1044	31	.	.	PUNCT
ejpam-5567	1045	1	funding	fund	VERB
ejpam-5567	1045	2	fundamental	fundamental	ADJ
ejpam-5567	1045	3	research	research	NOUN
ejpam-5567	1045	4	funds	fund	NOUN
ejpam-5567	1045	5	for	for	ADP
ejpam-5567	1045	6	the	the	DET
ejpam-5567	1045	7	central	central	ADJ
ejpam-5567	1045	8	universities	university	NOUN
ejpam-5567	1045	9	(	(	PUNCT
ejpam-5567	1045	10	grant	grant	VERB
ejpam-5567	1045	11	no	no	NOUN
ejpam-5567	1045	12	.	.	NOUN
ejpam-5567	1045	13	3132024198	3132024198	NUM
ejpam-5567	1045	14	)	)	PUNCT
ejpam-5567	1045	15	.	.	PUNCT
ejpam-5567	1046	1	author	author	NOUN
ejpam-5567	1046	2	contributions	contribution	NOUN
ejpam-5567	1046	3	:	:	PUNCT
ejpam-5567	1046	4	all	all	DET
ejpam-5567	1046	5	authors	author	NOUN
ejpam-5567	1046	6	equally	equally	ADV
ejpam-5567	1046	7	contributed	contribute	VERB
ejpam-5567	1046	8	.	.	PUNCT
ejpam-5567	1047	1	conflicts	conflict	NOUN
ejpam-5567	1047	2	of	of	ADP
ejpam-5567	1047	3	interest	interest	NOUN
ejpam-5567	1047	4	:	:	PUNCT
ejpam-5567	1047	5	the	the	DET
ejpam-5567	1047	6	author(s	author(s	PROPN
ejpam-5567	1047	7	)	)	PUNCT
ejpam-5567	1047	8	declare(s	declare(s	NOUN
ejpam-5567	1047	9	)	)	PUNCT
ejpam-5567	1047	10	that	that	SCONJ
ejpam-5567	1047	11	there	there	PRON
ejpam-5567	1047	12	are	be	VERB
ejpam-5567	1047	13	no	no	DET
ejpam-5567	1047	14	conflicts	conflict	NOUN
ejpam-5567	1047	15	of	of	ADP
ejpam-5567	1047	16	interest	interest	NOUN
ejpam-5567	1047	17	regarding	regard	VERB
ejpam-5567	1047	18	the	the	DET
ejpam-5567	1047	19	publication	publication	NOUN
ejpam-5567	1047	20	of	of	ADP
ejpam-5567	1047	21	this	this	DET
ejpam-5567	1047	22	paper	paper	NOUN
ejpam-5567	1047	23	.	.	PUNCT
ejpam-5567	1048	1	availability	availability	NOUN
ejpam-5567	1048	2	of	of	ADP
ejpam-5567	1048	3	data	datum	NOUN
ejpam-5567	1048	4	and	and	CCONJ
ejpam-5567	1048	5	materials	material	NOUN
ejpam-5567	1048	6	:	:	PUNCT
ejpam-5567	1048	7	all	all	DET
ejpam-5567	1048	8	the	the	DET
ejpam-5567	1048	9	data	datum	NOUN
ejpam-5567	1048	10	and	and	CCONJ
ejpam-5567	1048	11	materials	material	NOUN
ejpam-5567	1048	12	are	be	AUX
ejpam-5567	1048	13	provided	provide	VERB
ejpam-5567	1048	14	in	in	ADP
ejpam-5567	1048	15	the	the	DET
ejpam-5567	1048	16	manuscript	manuscript	NOUN
ejpam-5567	1048	17	.	.	PUNCT
ejpam-5567	1049	1	m.	m.	NOUN
ejpam-5567	1049	2	nawaz	nawaz	PROPN
ejpam-5567	1049	3	et	et	PROPN
ejpam-5567	1049	4	al	al	PROPN
ejpam-5567	1049	5	.	.	PUNCT
ejpam-5567	1049	6	/	/	SYM
ejpam-5567	1049	7	eur	eur	PROPN
ejpam-5567	1049	8	.	.	PUNCT
ejpam-5567	1050	1	j.	j.	PROPN
ejpam-5567	1050	2	pure	pure	PROPN
ejpam-5567	1050	3	appl	appl	PROPN
ejpam-5567	1050	4	.	.	PROPN
ejpam-5567	1050	5	math	math	PROPN
ejpam-5567	1050	6	,	,	PUNCT
ejpam-5567	1050	7	18	18	NUM
ejpam-5567	1050	8	(	(	PUNCT
ejpam-5567	1050	9	1	1	NUM
ejpam-5567	1050	10	)	)	PUNCT
ejpam-5567	1050	11	(	(	PUNCT
ejpam-5567	1050	12	2025	2025	NUM
ejpam-5567	1050	13	)	)	PUNCT
ejpam-5567	1050	14	,	,	PUNCT
ejpam-5567	1050	15	5567	5567	NUM
ejpam-5567	1050	16	44	44	NUM
ejpam-5567	1050	17	of	of	ADP
ejpam-5567	1050	18	45	45	NUM
ejpam-5567	1050	19	references	reference	NOUN
ejpam-5567	1050	20	[	[	X
ejpam-5567	1050	21	1	1	NUM
ejpam-5567	1050	22	]	]	PUNCT
ejpam-5567	1050	23	a.	a.	NOUN
ejpam-5567	1050	24	acikgoz	acikgoz	PROPN
ejpam-5567	1050	25	and	and	CCONJ
ejpam-5567	1050	26	n.	n.	PROPN
ejpam-5567	1050	27	ta	ta	PROPN
ejpam-5567	1050	28	.	.	PUNCT
ejpam-5567	1051	1	binary	binary	PROPN
ejpam-5567	1051	2	soft	soft	ADJ
ejpam-5567	1051	3	set	set	NOUN
ejpam-5567	1051	4	theory	theory	NOUN
ejpam-5567	1051	5	.	.	PUNCT
ejpam-5567	1052	1	european	european	PROPN
ejpam-5567	1052	2	journal	journal	PROPN
ejpam-5567	1052	3	of	of	ADP
ejpam-5567	1052	4	pure	pure	ADJ
ejpam-5567	1052	5	and	and	CCONJ
ejpam-5567	1052	6	applied	applied	ADJ
ejpam-5567	1052	7	mathematics	mathematic	NOUN
ejpam-5567	1052	8	,	,	PUNCT
ejpam-5567	1052	9	9(4):452–463	9(4):452–463	NUM
ejpam-5567	1052	10	,	,	PUNCT
ejpam-5567	1052	11	2016	2016	NUM
ejpam-5567	1052	12	.	.	PUNCT
ejpam-5567	1053	1	[	[	X
ejpam-5567	1053	2	2	2	X
ejpam-5567	1053	3	]	]	PUNCT
ejpam-5567	1053	4	h.	h.	PROPN
ejpam-5567	1053	5	aktas	aktas	PROPN
ejpam-5567	1053	6	and	and	CCONJ
ejpam-5567	1053	7	n.	n.	PROPN
ejpam-5567	1053	8	cagman	cagman	PROPN
ejpam-5567	1053	9	.	.	PUNCT
ejpam-5567	1054	1	soft	soft	ADJ
ejpam-5567	1054	2	sets	set	NOUN
ejpam-5567	1054	3	and	and	CCONJ
ejpam-5567	1054	4	soft	soft	ADJ
ejpam-5567	1054	5	groups	group	NOUN
ejpam-5567	1054	6	.	.	PUNCT
ejpam-5567	1055	1	information	information	NOUN
ejpam-5567	1055	2	sciences	sciences	PROPN
ejpam-5567	1055	3	,	,	PUNCT
ejpam-5567	1055	4	177(13):2726–2735	177(13):2726–2735	NUM
ejpam-5567	1055	5	,	,	PUNCT
ejpam-5567	1055	6	2007	2007	NUM
ejpam-5567	1055	7	.	.	PUNCT
ejpam-5567	1056	1	[	[	X
ejpam-5567	1056	2	3	3	X
ejpam-5567	1056	3	]	]	X
ejpam-5567	1056	4	m.	m.	PROPN
ejpam-5567	1056	5	i.	i.	PROPN
ejpam-5567	1056	6	ali	ali	PROPN
ejpam-5567	1056	7	,	,	PUNCT
ejpam-5567	1056	8	f.	f.	PROPN
ejpam-5567	1056	9	feng	feng	PROPN
ejpam-5567	1056	10	,	,	PUNCT
ejpam-5567	1056	11	x.	x.	PROPN
ejpam-5567	1056	12	liu	liu	PROPN
ejpam-5567	1056	13	,	,	PUNCT
ejpam-5567	1056	14	w.	w.	PROPN
ejpam-5567	1056	15	k.	k.	PROPN
ejpam-5567	1056	16	min	min	PROPN
ejpam-5567	1056	17	,	,	PUNCT
ejpam-5567	1056	18	and	and	CCONJ
ejpam-5567	1056	19	m.	m.	NOUN
ejpam-5567	1056	20	shabir	shabir	PROPN
ejpam-5567	1056	21	.	.	PUNCT
ejpam-5567	1057	1	on	on	ADP
ejpam-5567	1057	2	some	some	DET
ejpam-5567	1057	3	new	new	ADJ
ejpam-5567	1057	4	operations	operation	NOUN
ejpam-5567	1057	5	in	in	ADP
ejpam-5567	1057	6	soft	soft	ADJ
ejpam-5567	1057	7	set	set	NOUN
ejpam-5567	1057	8	theory	theory	NOUN
ejpam-5567	1057	9	.	.	PUNCT
ejpam-5567	1058	1	computers	computer	NOUN
ejpam-5567	1058	2	and	and	CCONJ
ejpam-5567	1058	3	mathematics	mathematic	NOUN
ejpam-5567	1058	4	with	with	ADP
ejpam-5567	1058	5	applications	application	NOUN
ejpam-5567	1058	6	,	,	PUNCT
ejpam-5567	1058	7	57(9):1547–1553	57(9):1547–1553	NUM
ejpam-5567	1058	8	,	,	PUNCT
ejpam-5567	1058	9	2009	2009	NUM
ejpam-5567	1058	10	.	.	PUNCT
ejpam-5567	1059	1	[	[	X
ejpam-5567	1059	2	4	4	NUM
ejpam-5567	1059	3	]	]	PUNCT
ejpam-5567	1059	4	m.	m.	PROPN
ejpam-5567	1059	5	i.	i.	PROPN
ejpam-5567	1059	6	ali	ali	PROPN
ejpam-5567	1059	7	,	,	PUNCT
ejpam-5567	1059	8	m.	m.	NOUN
ejpam-5567	1059	9	shabir	shabir	PROPN
ejpam-5567	1059	10	,	,	PUNCT
ejpam-5567	1059	11	and	and	CCONJ
ejpam-5567	1059	12	m.	m.	PROPN
ejpam-5567	1059	13	naz	naz	PROPN
ejpam-5567	1059	14	.	.	PUNCT
ejpam-5567	1060	1	algebraic	algebraic	ADJ
ejpam-5567	1060	2	structures	structure	NOUN
ejpam-5567	1060	3	of	of	ADP
ejpam-5567	1060	4	soft	soft	ADJ
ejpam-5567	1060	5	sets	set	NOUN
ejpam-5567	1060	6	associated	associate	VERB
ejpam-5567	1060	7	with	with	ADP
ejpam-5567	1060	8	new	new	ADJ
ejpam-5567	1060	9	operations	operation	NOUN
ejpam-5567	1060	10	.	.	PUNCT
ejpam-5567	1061	1	computers	computer	NOUN
ejpam-5567	1061	2	and	and	CCONJ
ejpam-5567	1061	3	mathematics	mathematic	NOUN
ejpam-5567	1061	4	with	with	ADP
ejpam-5567	1061	5	applications	application	NOUN
ejpam-5567	1061	6	,	,	PUNCT
ejpam-5567	1061	7	61(9):2647–2654	61(9):2647–2654	NUM
ejpam-5567	1061	8	,	,	PUNCT
ejpam-5567	1061	9	2011	2011	NUM
ejpam-5567	1061	10	.	.	PUNCT
ejpam-5567	1062	1	[	[	X
ejpam-5567	1062	2	5	5	X
ejpam-5567	1062	3	]	]	PUNCT
ejpam-5567	1062	4	k.	k.	PROPN
ejpam-5567	1062	5	atanassov	atanassov	PROPN
ejpam-5567	1062	6	.	.	PUNCT
ejpam-5567	1063	1	intuitionistic	intuitionistic	ADJ
ejpam-5567	1063	2	fuzzy	fuzzy	ADJ
ejpam-5567	1063	3	sets	set	NOUN
ejpam-5567	1063	4	.	.	PUNCT
ejpam-5567	1064	1	fuzzy	fuzzy	ADJ
ejpam-5567	1064	2	sets	set	NOUN
ejpam-5567	1064	3	and	and	CCONJ
ejpam-5567	1064	4	systems	system	NOUN
ejpam-5567	1064	5	,	,	PUNCT
ejpam-5567	1064	6	20:87–96	20:87–96	NUM
ejpam-5567	1064	7	,	,	PUNCT
ejpam-5567	1064	8	1986	1986	NUM
ejpam-5567	1064	9	.	.	PUNCT
ejpam-5567	1065	1	[	[	X
ejpam-5567	1065	2	6	6	NUM
ejpam-5567	1065	3	]	]	PUNCT
ejpam-5567	1065	4	k.	k.	PROPN
ejpam-5567	1065	5	atanassov	atanassov	PROPN
ejpam-5567	1065	6	.	.	PUNCT
ejpam-5567	1066	1	operators	operator	NOUN
ejpam-5567	1066	2	over	over	ADP
ejpam-5567	1066	3	interval	interval	NOUN
ejpam-5567	1066	4	valued	value	VERB
ejpam-5567	1066	5	intuitionistic	intuitionistic	ADJ
ejpam-5567	1066	6	fuzzy	fuzzy	ADJ
ejpam-5567	1066	7	sets	set	NOUN
ejpam-5567	1066	8	.	.	PUNCT
ejpam-5567	1067	1	fuzzy	fuzzy	ADJ
ejpam-5567	1067	2	sets	set	NOUN
ejpam-5567	1067	3	and	and	CCONJ
ejpam-5567	1067	4	systems	system	NOUN
ejpam-5567	1067	5	,	,	PUNCT
ejpam-5567	1067	6	64:159–174	64:159–174	PROPN
ejpam-5567	1067	7	,	,	PUNCT
ejpam-5567	1067	8	1994	1994	NUM
ejpam-5567	1067	9	.	.	PUNCT
ejpam-5567	1068	1	[	[	X
ejpam-5567	1068	2	7	7	X
ejpam-5567	1068	3	]	]	X
ejpam-5567	1068	4	t.	t.	PROPN
ejpam-5567	1068	5	m.	m.	PROPN
ejpam-5567	1068	6	basu	basu	PROPN
ejpam-5567	1068	7	,	,	PUNCT
ejpam-5567	1068	8	n.	n.	PROPN
ejpam-5567	1068	9	k.	k.	PROPN
ejpam-5567	1068	10	mahapatra	mahapatra	PROPN
ejpam-5567	1068	11	,	,	PUNCT
ejpam-5567	1068	12	and	and	CCONJ
ejpam-5567	1068	13	s.	s.	PROPN
ejpam-5567	1068	14	k.	k.	PROPN
ejpam-5567	1068	15	mondal	mondal	PROPN
ejpam-5567	1068	16	.	.	PUNCT
ejpam-5567	1069	1	a	a	DET
ejpam-5567	1069	2	balanced	balanced	ADJ
ejpam-5567	1069	3	solution	solution	NOUN
ejpam-5567	1069	4	of	of	ADP
ejpam-5567	1069	5	a	a	DET
ejpam-5567	1069	6	fuzzy	fuzzy	ADJ
ejpam-5567	1069	7	soft	soft	ADJ
ejpam-5567	1069	8	set	set	NOUN
ejpam-5567	1069	9	based	base	VERB
ejpam-5567	1069	10	decision	decision	NOUN
ejpam-5567	1069	11	making	make	VERB
ejpam-5567	1069	12	problem	problem	NOUN
ejpam-5567	1069	13	in	in	ADP
ejpam-5567	1069	14	medical	medical	ADJ
ejpam-5567	1069	15	science	science	NOUN
ejpam-5567	1069	16	.	.	PUNCT
ejpam-5567	1070	1	applied	apply	VERB
ejpam-5567	1070	2	soft	soft	ADJ
ejpam-5567	1070	3	computing	computing	NOUN
ejpam-5567	1070	4	,	,	PUNCT
ejpam-5567	1070	5	12(10):3260–3275	12(10):3260–3275	NUM
ejpam-5567	1070	6	,	,	PUNCT
ejpam-5567	1070	7	2012	2012	NUM
ejpam-5567	1070	8	.	.	PUNCT
ejpam-5567	1071	1	[	[	X
ejpam-5567	1071	2	8	8	NUM
ejpam-5567	1071	3	]	]	PUNCT
ejpam-5567	1071	4	s.	s.	PROPN
ejpam-5567	1071	5	s.	s.	PROPN
ejpam-5567	1071	6	benchalli	benchalli	PROPN
ejpam-5567	1071	7	,	,	PUNCT
ejpam-5567	1071	8	p.	p.	PROPN
ejpam-5567	1071	9	g.	g.	PROPN
ejpam-5567	1071	10	patil	patil	PROPN
ejpam-5567	1071	11	,	,	PUNCT
ejpam-5567	1071	12	a.	a.	PROPN
ejpam-5567	1071	13	s.	s.	PROPN
ejpam-5567	1071	14	dodamani	dodamani	PROPN
ejpam-5567	1071	15	,	,	PUNCT
ejpam-5567	1071	16	and	and	CCONJ
ejpam-5567	1071	17	j.	j.	PROPN
ejpam-5567	1071	18	pradeepkumar	pradeepkumar	PROPN
ejpam-5567	1071	19	.	.	PUNCT
ejpam-5567	1072	1	on	on	ADP
ejpam-5567	1072	2	binary	binary	ADJ
ejpam-5567	1072	3	soft	soft	ADJ
ejpam-5567	1072	4	topological	topological	ADJ
ejpam-5567	1072	5	space	space	NOUN
ejpam-5567	1072	6	.	.	PUNCT
ejpam-5567	1073	1	international	international	ADJ
ejpam-5567	1073	2	journal	journal	PROPN
ejpam-5567	1073	3	of	of	ADP
ejpam-5567	1073	4	applied	apply	VERB
ejpam-5567	1073	5	mathematics	mathematic	NOUN
ejpam-5567	1073	6	,	,	PUNCT
ejpam-5567	1073	7	30(6):437–453	30(6):437–453	NUM
ejpam-5567	1073	8	,	,	PUNCT
ejpam-5567	1073	9	2017	2017	NUM
ejpam-5567	1073	10	.	.	PUNCT
ejpam-5567	1074	1	[	[	X
ejpam-5567	1074	2	9	9	NUM
ejpam-5567	1074	3	]	]	X
ejpam-5567	1074	4	n.	n.	NOUN
ejpam-5567	1074	5	cagman	cagman	PROPN
ejpam-5567	1074	6	,	,	PUNCT
ejpam-5567	1074	7	s.	s.	PROPN
ejpam-5567	1074	8	enginoglu	enginoglu	PROPN
ejpam-5567	1074	9	,	,	PUNCT
ejpam-5567	1074	10	and	and	CCONJ
ejpam-5567	1074	11	f.	f.	PROPN
ejpam-5567	1074	12	citak	citak	PROPN
ejpam-5567	1074	13	.	.	PUNCT
ejpam-5567	1075	1	fuzzy	fuzzy	ADJ
ejpam-5567	1075	2	soft	soft	ADJ
ejpam-5567	1075	3	set	set	NOUN
ejpam-5567	1075	4	theory	theory	NOUN
ejpam-5567	1075	5	and	and	CCONJ
ejpam-5567	1075	6	its	its	PRON
ejpam-5567	1075	7	applications	application	NOUN
ejpam-5567	1075	8	.	.	PUNCT
ejpam-5567	1076	1	iranian	iranian	ADJ
ejpam-5567	1076	2	journal	journal	PROPN
ejpam-5567	1076	3	of	of	ADP
ejpam-5567	1076	4	fuzzy	fuzzy	ADJ
ejpam-5567	1076	5	systems	system	NOUN
ejpam-5567	1076	6	,	,	PUNCT
ejpam-5567	1076	7	8(3):137–147	8(3):137–147	NUM
ejpam-5567	1076	8	,	,	PUNCT
ejpam-5567	1076	9	2011	2011	NUM
ejpam-5567	1076	10	.	.	PUNCT
ejpam-5567	1077	1	[	[	X
ejpam-5567	1077	2	10	10	NUM
ejpam-5567	1077	3	]	]	X
ejpam-5567	1077	4	f.	f.	PROPN
ejpam-5567	1077	5	feng	feng	PROPN
ejpam-5567	1077	6	,	,	PUNCT
ejpam-5567	1077	7	c.	c.	PROPN
ejpam-5567	1077	8	li	li	PROPN
ejpam-5567	1077	9	,	,	PUNCT
ejpam-5567	1077	10	davraz	davraz	PROPN
ejpam-5567	1077	11	,	,	PUNCT
ejpam-5567	1077	12	and	and	CCONJ
ejpam-5567	1077	13	m.	m.	PROPN
ejpam-5567	1077	14	ali	ali	PROPN
ejpam-5567	1077	15	.	.	PROPN
ejpam-5567	1077	16	soft	soft	ADJ
ejpam-5567	1077	17	sets	set	NOUN
ejpam-5567	1077	18	combine	combine	VERB
ejpam-5567	1077	19	with	with	ADP
ejpam-5567	1077	20	fuzzy	fuzzy	ADJ
ejpam-5567	1077	21	sets	set	NOUN
ejpam-5567	1077	22	and	and	CCONJ
ejpam-5567	1077	23	rough	rough	ADJ
ejpam-5567	1077	24	sets	set	NOUN
ejpam-5567	1077	25	:	:	PUNCT
ejpam-5567	1077	26	a	a	DET
ejpam-5567	1077	27	tentative	tentative	ADJ
ejpam-5567	1077	28	approach	approach	NOUN
ejpam-5567	1077	29	.	.	PUNCT
ejpam-5567	1078	1	soft	soft	ADJ
ejpam-5567	1078	2	computing	computing	NOUN
ejpam-5567	1078	3	,	,	PUNCT
ejpam-5567	1078	4	14:889–911	14:889–911	PROPN
ejpam-5567	1078	5	,	,	PUNCT
ejpam-5567	1078	6	2010	2010	NUM
ejpam-5567	1078	7	.	.	PUNCT
ejpam-5567	1079	1	[	[	X
ejpam-5567	1079	2	11	11	NUM
ejpam-5567	1079	3	]	]	X
ejpam-5567	1079	4	f.	f.	PROPN
ejpam-5567	1079	5	feng	feng	PROPN
ejpam-5567	1079	6	and	and	CCONJ
ejpam-5567	1079	7	x.	x.	PROPN
ejpam-5567	1079	8	liu	liu	PROPN
ejpam-5567	1079	9	.	.	PROPN
ejpam-5567	1080	1	soft	soft	ADJ
ejpam-5567	1080	2	rough	rough	ADJ
ejpam-5567	1080	3	sets	set	NOUN
ejpam-5567	1080	4	with	with	ADP
ejpam-5567	1080	5	applications	application	NOUN
ejpam-5567	1080	6	to	to	PART
ejpam-5567	1080	7	demand	demand	VERB
ejpam-5567	1080	8	analysis	analysis	NOUN
ejpam-5567	1080	9	.	.	PUNCT
ejpam-5567	1081	1	in	in	ADP
ejpam-5567	1081	2	proceedings	proceeding	NOUN
ejpam-5567	1081	3	of	of	ADP
ejpam-5567	1081	4	the	the	DET
ejpam-5567	1081	5	international	international	ADJ
ejpam-5567	1081	6	workshop	workshop	NOUN
ejpam-5567	1081	7	on	on	ADP
ejpam-5567	1081	8	intelligent	intelligent	ADJ
ejpam-5567	1081	9	systems	system	NOUN
ejpam-5567	1081	10	and	and	CCONJ
ejpam-5567	1081	11	applications	application	NOUN
ejpam-5567	1081	12	(	(	PUNCT
ejpam-5567	1081	13	isa	isa	NOUN
ejpam-5567	1081	14	)	)	PUNCT
ejpam-5567	1081	15	,	,	PUNCT
ejpam-5567	1081	16	pages	page	NOUN
ejpam-5567	1081	17	1–4	1–4	PROPN
ejpam-5567	1081	18	,	,	PUNCT
ejpam-5567	1081	19	wuhan	wuhan	PROPN
ejpam-5567	1081	20	,	,	PUNCT
ejpam-5567	1081	21	china	china	PROPN
ejpam-5567	1081	22	,	,	PUNCT
ejpam-5567	1081	23	2009	2009	NUM
ejpam-5567	1081	24	.	.	PUNCT
ejpam-5567	1082	1	ieee	ieee	NOUN
ejpam-5567	1082	2	.	.	PUNCT
ejpam-5567	1083	1	[	[	X
ejpam-5567	1083	2	12	12	NUM
ejpam-5567	1083	3	]	]	PUNCT
ejpam-5567	1083	4	w.	w.	PROPN
ejpam-5567	1083	5	l.	l.	PROPN
ejpam-5567	1083	6	gau	gau	PROPN
ejpam-5567	1083	7	and	and	CCONJ
ejpam-5567	1083	8	d.	d.	PROPN
ejpam-5567	1083	9	j.	j.	PROPN
ejpam-5567	1083	10	buehere	buehere	PROPN
ejpam-5567	1083	11	.	.	PUNCT
ejpam-5567	1084	1	vague	vague	ADJ
ejpam-5567	1084	2	sets	set	NOUN
ejpam-5567	1084	3	.	.	PUNCT
ejpam-5567	1085	1	ieee	ieee	PROPN
ejpam-5567	1085	2	trans	trans	PROPN
ejpam-5567	1085	3	.	.	PUNCT
ejpam-5567	1085	4	system	system	NOUN
ejpam-5567	1085	5	man	man	PROPN
ejpam-5567	1085	6	cybernet	cybernet	PROPN
ejpam-5567	1085	7	,	,	PUNCT
ejpam-5567	1085	8	23(2):610–614	23(2):610–614	NUM
ejpam-5567	1085	9	,	,	PUNCT
ejpam-5567	1085	10	1993	1993	NUM
ejpam-5567	1085	11	.	.	PUNCT
ejpam-5567	1086	1	[	[	X
ejpam-5567	1086	2	13	13	NUM
ejpam-5567	1086	3	]	]	PUNCT
ejpam-5567	1086	4	m.	m.	PROPN
ejpam-5567	1086	5	b.	b.	PROPN
ejpam-5567	1086	6	gorzalzany	gorzalzany	PROPN
ejpam-5567	1086	7	.	.	PUNCT
ejpam-5567	1087	1	a	a	DET
ejpam-5567	1087	2	method	method	NOUN
ejpam-5567	1087	3	of	of	ADP
ejpam-5567	1087	4	inference	inference	NOUN
ejpam-5567	1087	5	in	in	ADP
ejpam-5567	1087	6	approximate	approximate	ADJ
ejpam-5567	1087	7	reasoning	reasoning	NOUN
ejpam-5567	1087	8	based	base	VERB
ejpam-5567	1087	9	on	on	ADP
ejpam-5567	1087	10	interval	interval	NOUN
ejpam-5567	1087	11	-	-	PUNCT
ejpam-5567	1087	12	valued	value	VERB
ejpam-5567	1087	13	fuzzy	fuzzy	ADJ
ejpam-5567	1087	14	sets	set	NOUN
ejpam-5567	1087	15	.	.	PUNCT
ejpam-5567	1088	1	fuzzy	fuzzy	ADJ
ejpam-5567	1088	2	sets	set	NOUN
ejpam-5567	1088	3	and	and	CCONJ
ejpam-5567	1088	4	systems	system	NOUN
ejpam-5567	1088	5	,	,	PUNCT
ejpam-5567	1088	6	21:1–17	21:1–17	NUM
ejpam-5567	1088	7	,	,	PUNCT
ejpam-5567	1088	8	1987	1987	NUM
ejpam-5567	1088	9	.	.	PUNCT
ejpam-5567	1089	1	[	[	X
ejpam-5567	1089	2	14	14	NUM
ejpam-5567	1089	3	]	]	PUNCT
ejpam-5567	1089	4	a.	a.	NOUN
ejpam-5567	1089	5	m.	m.	PROPN
ejpam-5567	1089	6	khattak	khattak	PROPN
ejpam-5567	1089	7	,	,	PUNCT
ejpam-5567	1089	8	z.	z.	PROPN
ejpam-5567	1089	9	ullah	ullah	PROPN
ejpam-5567	1089	10	,	,	PUNCT
ejpam-5567	1089	11	f.	f.	PROPN
ejpam-5567	1089	12	amin	amin	PROPN
ejpam-5567	1089	13	,	,	PUNCT
ejpam-5567	1089	14	n.	n.	PROPN
ejpam-5567	1089	15	a.	a.	PROPN
ejpam-5567	1089	16	khattak	khattak	PROPN
ejpam-5567	1089	17	,	,	PUNCT
ejpam-5567	1089	18	and	and	CCONJ
ejpam-5567	1089	19	s.	s.	PROPN
ejpam-5567	1089	20	jbeen	jbeen	PROPN
ejpam-5567	1089	21	.	.	PUNCT
ejpam-5567	1090	1	binary	binary	PROPN
ejpam-5567	1090	2	soft	soft	ADJ
ejpam-5567	1090	3	pre	pre	ADJ
ejpam-5567	1090	4	-	-	NOUN
ejpam-5567	1090	5	separation	separation	NOUN
ejpam-5567	1090	6	axioms	axiom	NOUN
ejpam-5567	1090	7	in	in	ADP
ejpam-5567	1090	8	binary	binary	ADJ
ejpam-5567	1090	9	soft	soft	ADJ
ejpam-5567	1090	10	topological	topological	ADJ
ejpam-5567	1090	11	spaces	space	NOUN
ejpam-5567	1090	12	.	.	PUNCT
ejpam-5567	1091	1	matrix	matrix	NOUN
ejpam-5567	1091	2	science	science	NOUN
ejpam-5567	1091	3	mathematics	mathematic	NOUN
ejpam-5567	1091	4	(	(	PUNCT
ejpam-5567	1091	5	msmk	msmk	NOUN
ejpam-5567	1091	6	)	)	PUNCT
ejpam-5567	1091	7	,	,	PUNCT
ejpam-5567	1091	8	2(2):18–24	2(2):18–24	NUM
ejpam-5567	1091	9	,	,	PUNCT
ejpam-5567	1091	10	2018	2018	NUM
ejpam-5567	1091	11	.	.	PUNCT
ejpam-5567	1092	1	[	[	X
ejpam-5567	1092	2	15	15	NUM
ejpam-5567	1092	3	]	]	X
ejpam-5567	1092	4	p.	p.	PROPN
ejpam-5567	1092	5	k.	k.	PROPN
ejpam-5567	1093	1	maji	maji	PROPN
ejpam-5567	1093	2	,	,	PUNCT
ejpam-5567	1093	3	r.	r.	PROPN
ejpam-5567	1093	4	biswas	biswas	PROPN
ejpam-5567	1093	5	,	,	PUNCT
ejpam-5567	1093	6	and	and	CCONJ
ejpam-5567	1094	1	a.	a.	PROPN
ejpam-5567	1094	2	r.	r.	PROPN
ejpam-5567	1094	3	roy	roy	PROPN
ejpam-5567	1094	4	.	.	PROPN
ejpam-5567	1094	5	fuzzy	fuzzy	ADJ
ejpam-5567	1094	6	soft	soft	ADJ
ejpam-5567	1094	7	sets	set	NOUN
ejpam-5567	1094	8	.	.	PUNCT
ejpam-5567	1095	1	journal	journal	NOUN
ejpam-5567	1095	2	of	of	ADP
ejpam-5567	1095	3	fuzzy	fuzzy	ADJ
ejpam-5567	1095	4	mathematics	mathematic	NOUN
ejpam-5567	1095	5	,	,	PUNCT
ejpam-5567	1095	6	9:589–602	9:589–602	NUM
ejpam-5567	1095	7	,	,	PUNCT
ejpam-5567	1095	8	2001	2001	NUM
ejpam-5567	1095	9	.	.	PUNCT
ejpam-5567	1096	1	[	[	X
ejpam-5567	1096	2	16	16	NUM
ejpam-5567	1096	3	]	]	PUNCT
ejpam-5567	1096	4	p.	p.	PROPN
ejpam-5567	1096	5	k.	k.	PROPN
ejpam-5567	1097	1	maji	maji	PROPN
ejpam-5567	1097	2	,	,	PUNCT
ejpam-5567	1097	3	r.	r.	PROPN
ejpam-5567	1097	4	biswas	biswas	PROPN
ejpam-5567	1097	5	,	,	PUNCT
ejpam-5567	1097	6	and	and	CCONJ
ejpam-5567	1097	7	a.	a.	PROPN
ejpam-5567	1097	8	r.	r.	PROPN
ejpam-5567	1097	9	roy	roy	PROPN
ejpam-5567	1097	10	.	.	PROPN
ejpam-5567	1098	1	intuitionistic	intuitionistic	ADJ
ejpam-5567	1098	2	fuzzy	fuzzy	ADJ
ejpam-5567	1098	3	soft	soft	ADJ
ejpam-5567	1098	4	sets	set	NOUN
ejpam-5567	1098	5	.	.	PUNCT
ejpam-5567	1099	1	journal	journal	NOUN
ejpam-5567	1099	2	of	of	ADP
ejpam-5567	1099	3	fuzzy	fuzzy	ADJ
ejpam-5567	1099	4	mathematics	mathematic	NOUN
ejpam-5567	1099	5	,	,	PUNCT
ejpam-5567	1099	6	9:677–692	9:677–692	NUM
ejpam-5567	1099	7	,	,	PUNCT
ejpam-5567	1099	8	2001	2001	NUM
ejpam-5567	1099	9	.	.	PUNCT
ejpam-5567	1100	1	[	[	X
ejpam-5567	1100	2	17	17	NUM
ejpam-5567	1100	3	]	]	PUNCT
ejpam-5567	1100	4	p.	p.	PROPN
ejpam-5567	1100	5	k.	k.	PROPN
ejpam-5567	1101	1	maji	maji	PROPN
ejpam-5567	1101	2	,	,	PUNCT
ejpam-5567	1101	3	r.	r.	PROPN
ejpam-5567	1101	4	biswas	biswas	PROPN
ejpam-5567	1101	5	,	,	PUNCT
ejpam-5567	1101	6	and	and	CCONJ
ejpam-5567	1101	7	a.	a.	PROPN
ejpam-5567	1101	8	r.	r.	PROPN
ejpam-5567	1101	9	roy	roy	PROPN
ejpam-5567	1101	10	.	.	PROPN
ejpam-5567	1101	11	soft	soft	ADJ
ejpam-5567	1101	12	set	set	NOUN
ejpam-5567	1101	13	theory	theory	NOUN
ejpam-5567	1101	14	.	.	PUNCT
ejpam-5567	1102	1	computers	computer	NOUN
ejpam-5567	1102	2	and	and	CCONJ
ejpam-5567	1102	3	mathematics	mathematic	NOUN
ejpam-5567	1102	4	with	with	ADP
ejpam-5567	1102	5	applications	application	NOUN
ejpam-5567	1102	6	,	,	PUNCT
ejpam-5567	1102	7	45(4	45(4	NOUN
ejpam-5567	1102	8	-	-	PUNCT
ejpam-5567	1102	9	5):555–562	5):555–562	NUM
ejpam-5567	1102	10	,	,	PUNCT
ejpam-5567	1102	11	2003	2003	NUM
ejpam-5567	1102	12	.	.	PUNCT
ejpam-5567	1103	1	[	[	X
ejpam-5567	1103	2	18	18	NUM
ejpam-5567	1103	3	]	]	X
ejpam-5567	1103	4	d.	d.	PROPN
ejpam-5567	1103	5	molodtsov	molodtsov	PROPN
ejpam-5567	1103	6	.	.	PUNCT
ejpam-5567	1104	1	soft	soft	ADJ
ejpam-5567	1104	2	set	set	NOUN
ejpam-5567	1104	3	theory	theory	NOUN
ejpam-5567	1104	4	,	,	PUNCT
ejpam-5567	1104	5	first	first	ADJ
ejpam-5567	1104	6	results	result	NOUN
ejpam-5567	1104	7	.	.	PUNCT
ejpam-5567	1105	1	computers	computer	NOUN
ejpam-5567	1105	2	math	math	PROPN
ejpam-5567	1105	3	.	.	PUNCT
ejpam-5567	1106	1	applic	applic	PROPN
ejpam-5567	1106	2	.	.	PUNCT
ejpam-5567	1107	1	,	,	PUNCT
ejpam-5567	1107	2	37(4/5):19–31	37(4/5):19–31	NUM
ejpam-5567	1107	3	,	,	PUNCT
ejpam-5567	1107	4	1999	1999	NUM
ejpam-5567	1107	5	.	.	PUNCT
ejpam-5567	1108	1	[	[	X
ejpam-5567	1108	2	19	19	NUM
ejpam-5567	1108	3	]	]	PUNCT
ejpam-5567	1108	4	z.	z.	PROPN
ejpam-5567	1108	5	pawlak	pawlak	PROPN
ejpam-5567	1108	6	.	.	PUNCT
ejpam-5567	1109	1	rough	rough	ADJ
ejpam-5567	1109	2	sets	set	NOUN
ejpam-5567	1109	3	.	.	PUNCT
ejpam-5567	1110	1	international	international	ADJ
ejpam-5567	1110	2	journal	journal	NOUN
ejpam-5567	1110	3	of	of	ADP
ejpam-5567	1110	4	information	information	NOUN
ejpam-5567	1110	5	and	and	CCONJ
ejpam-5567	1110	6	computer	computer	NOUN
ejpam-5567	1110	7	sciences	science	NOUN
ejpam-5567	1110	8	,	,	PUNCT
ejpam-5567	1110	9	m.	m.	NOUN
ejpam-5567	1110	10	nawaz	nawaz	NOUN
ejpam-5567	1110	11	et	et	PROPN
ejpam-5567	1110	12	al	al	PROPN
ejpam-5567	1110	13	.	.	PUNCT
ejpam-5567	1110	14	/	/	SYM
ejpam-5567	1110	15	eur	eur	PROPN
ejpam-5567	1110	16	.	.	PUNCT
ejpam-5567	1111	1	j.	j.	PROPN
ejpam-5567	1111	2	pure	pure	PROPN
ejpam-5567	1111	3	appl	appl	PROPN
ejpam-5567	1111	4	.	.	PROPN
ejpam-5567	1111	5	math	math	PROPN
ejpam-5567	1111	6	,	,	PUNCT
ejpam-5567	1111	7	18	18	NUM
ejpam-5567	1111	8	(	(	PUNCT
ejpam-5567	1111	9	1	1	NUM
ejpam-5567	1111	10	)	)	PUNCT
ejpam-5567	1111	11	(	(	PUNCT
ejpam-5567	1111	12	2025	2025	NUM
ejpam-5567	1111	13	)	)	PUNCT
ejpam-5567	1111	14	,	,	PUNCT
ejpam-5567	1111	15	5567	5567	NUM
ejpam-5567	1111	16	45	45	NUM
ejpam-5567	1111	17	of	of	ADP
ejpam-5567	1111	18	45	45	NUM
ejpam-5567	1111	19	11:341–356	11:341–356	NUM
ejpam-5567	1111	20	,	,	PUNCT
ejpam-5567	1111	21	1982	1982	NUM
ejpam-5567	1111	22	.	.	PUNCT
ejpam-5567	1112	1	[	[	X
ejpam-5567	1112	2	20	20	NUM
ejpam-5567	1112	3	]	]	PUNCT
ejpam-5567	1112	4	z.	z.	PROPN
ejpam-5567	1112	5	pawlak	pawlak	PROPN
ejpam-5567	1112	6	.	.	PUNCT
ejpam-5567	1113	1	hard	hard	ADV
ejpam-5567	1113	2	set	set	ADJ
ejpam-5567	1113	3	and	and	CCONJ
ejpam-5567	1113	4	soft	soft	ADJ
ejpam-5567	1113	5	sets	set	NOUN
ejpam-5567	1113	6	.	.	PUNCT
ejpam-5567	1114	1	ics	ics	PROPN
ejpam-5567	1114	2	research	research	NOUN
ejpam-5567	1114	3	report	report	NOUN
ejpam-5567	1114	4	,	,	PUNCT
ejpam-5567	1114	5	institute	institute	NOUN
ejpam-5567	1114	6	of	of	ADP
ejpam-5567	1114	7	computer	computer	NOUN
ejpam-5567	1114	8	science	science	PROPN
ejpam-5567	1114	9	,	,	PUNCT
ejpam-5567	1114	10	poland	poland	PROPN
ejpam-5567	1114	11	,	,	PUNCT
ejpam-5567	1114	12	1994	1994	NUM
ejpam-5567	1114	13	.	.	PUNCT
ejpam-5567	1115	1	[	[	X
ejpam-5567	1115	2	21	21	NUM
ejpam-5567	1115	3	]	]	X
ejpam-5567	1115	4	h.	h.	PROPN
ejpam-5567	1115	5	qin	qin	PROPN
ejpam-5567	1115	6	,	,	PUNCT
ejpam-5567	1115	7	x.	x.	PROPN
ejpam-5567	1115	8	ma	ma	PROPN
ejpam-5567	1115	9	,	,	PUNCT
ejpam-5567	1115	10	j.	j.	PROPN
ejpam-5567	1115	11	m.	m.	PROPN
ejpam-5567	1115	12	zain	zain	PROPN
ejpam-5567	1115	13	,	,	PUNCT
ejpam-5567	1115	14	and	and	CCONJ
ejpam-5567	1115	15	t.	t.	PROPN
ejpam-5567	1115	16	herawan	herawan	PROPN
ejpam-5567	1115	17	.	.	PUNCT
ejpam-5567	1116	1	a	a	DET
ejpam-5567	1116	2	novel	novel	ADJ
ejpam-5567	1116	3	soft	soft	ADJ
ejpam-5567	1116	4	set	set	NOUN
ejpam-5567	1116	5	approach	approach	NOUN
ejpam-5567	1116	6	in	in	ADP
ejpam-5567	1116	7	selecting	select	VERB
ejpam-5567	1116	8	clustering	clustering	ADJ
ejpam-5567	1116	9	attribute	attribute	NOUN
ejpam-5567	1116	10	.	.	PUNCT
ejpam-5567	1117	1	knowledge	knowledge	NOUN
ejpam-5567	1117	2	-	-	PUNCT
ejpam-5567	1117	3	based	base	VERB
ejpam-5567	1117	4	systems	system	NOUN
ejpam-5567	1117	5	,	,	PUNCT
ejpam-5567	1117	6	36:139–145	36:139–145	NOUN
ejpam-5567	1117	7	,	,	PUNCT
ejpam-5567	1117	8	2012	2012	NUM
ejpam-5567	1117	9	.	.	PUNCT
ejpam-5567	1118	1	[	[	X
ejpam-5567	1118	2	22	22	NUM
ejpam-5567	1118	3	]	]	PUNCT
ejpam-5567	1118	4	a.	a.	PROPN
ejpam-5567	1118	5	r.	r.	PROPN
ejpam-5567	1118	6	roy	roy	PROPN
ejpam-5567	1118	7	and	and	CCONJ
ejpam-5567	1118	8	p.	p.	PROPN
ejpam-5567	1118	9	k.	k.	PROPN
ejpam-5567	1119	1	maji	maji	PROPN
ejpam-5567	1119	2	.	.	PUNCT
ejpam-5567	1120	1	a	a	DET
ejpam-5567	1120	2	fuzzy	fuzzy	ADJ
ejpam-5567	1120	3	soft	soft	ADJ
ejpam-5567	1120	4	set	set	ADJ
ejpam-5567	1120	5	theoretic	theoretic	ADJ
ejpam-5567	1120	6	approach	approach	NOUN
ejpam-5567	1120	7	to	to	ADP
ejpam-5567	1120	8	decision	decision	NOUN
ejpam-5567	1120	9	making	make	VERB
ejpam-5567	1120	10	problems	problem	NOUN
ejpam-5567	1120	11	.	.	PUNCT
ejpam-5567	1121	1	journal	journal	NOUN
ejpam-5567	1121	2	of	of	ADP
ejpam-5567	1121	3	computational	computational	ADJ
ejpam-5567	1121	4	and	and	CCONJ
ejpam-5567	1121	5	applied	applied	ADJ
ejpam-5567	1121	6	mathematics	mathematic	NOUN
ejpam-5567	1121	7	,	,	PUNCT
ejpam-5567	1121	8	203(2):412–418	203(2):412–418	NUM
ejpam-5567	1121	9	,	,	PUNCT
ejpam-5567	1121	10	2007	2007	NUM
ejpam-5567	1121	11	.	.	PUNCT
ejpam-5567	1122	1	[	[	X
ejpam-5567	1122	2	23	23	NUM
ejpam-5567	1122	3	]	]	PUNCT
ejpam-5567	1122	4	a.	a.	NOUN
ejpam-5567	1122	5	sezgin	sezgin	NOUN
ejpam-5567	1122	6	and	and	CCONJ
ejpam-5567	1122	7	a.	a.	PROPN
ejpam-5567	1122	8	o.	o.	PROPN
ejpam-5567	1122	9	atagun	atagun	PROPN
ejpam-5567	1122	10	.	.	PUNCT
ejpam-5567	1123	1	on	on	ADP
ejpam-5567	1123	2	operations	operation	NOUN
ejpam-5567	1123	3	of	of	ADP
ejpam-5567	1123	4	soft	soft	ADJ
ejpam-5567	1123	5	sets	set	NOUN
ejpam-5567	1123	6	.	.	PUNCT
ejpam-5567	1124	1	computers	computer	NOUN
ejpam-5567	1124	2	and	and	CCONJ
ejpam-5567	1124	3	mathematics	mathematic	NOUN
ejpam-5567	1124	4	with	with	ADP
ejpam-5567	1124	5	applications	application	NOUN
ejpam-5567	1124	6	,	,	PUNCT
ejpam-5567	1124	7	61(5):1457–1467	61(5):1457–1467	NUM
ejpam-5567	1124	8	,	,	PUNCT
ejpam-5567	1124	9	2011	2011	NUM
ejpam-5567	1124	10	.	.	PUNCT
ejpam-5567	1125	1	[	[	X
ejpam-5567	1125	2	24	24	NUM
ejpam-5567	1125	3	]	]	PUNCT
ejpam-5567	1125	4	m.	m.	NOUN
ejpam-5567	1125	5	shabir	shabir	PROPN
ejpam-5567	1125	6	and	and	CCONJ
ejpam-5567	1125	7	m.	m.	PROPN
ejpam-5567	1125	8	naz	naz	PROPN
ejpam-5567	1125	9	.	.	PUNCT
ejpam-5567	1126	1	on	on	ADP
ejpam-5567	1126	2	soft	soft	ADJ
ejpam-5567	1126	3	topological	topological	ADJ
ejpam-5567	1126	4	spaces	space	NOUN
ejpam-5567	1126	5	.	.	PUNCT
ejpam-5567	1127	1	computers	computer	NOUN
ejpam-5567	1127	2	and	and	CCONJ
ejpam-5567	1127	3	mathematics	mathematic	NOUN
ejpam-5567	1127	4	with	with	ADP
ejpam-5567	1127	5	applications	application	NOUN
ejpam-5567	1127	6	,	,	PUNCT
ejpam-5567	1127	7	61:1786–1799	61:1786–1799	NUM
ejpam-5567	1127	8	,	,	PUNCT
ejpam-5567	1127	9	2011	2011	NUM
ejpam-5567	1127	10	.	.	PUNCT
ejpam-5567	1128	1	[	[	X
ejpam-5567	1128	2	25	25	NUM
ejpam-5567	1128	3	]	]	PUNCT
ejpam-5567	1128	4	z.	z.	PROPN
ejpam-5567	1128	5	xiao	xiao	PROPN
ejpam-5567	1128	6	,	,	PUNCT
ejpam-5567	1128	7	k.	k.	PROPN
ejpam-5567	1128	8	gong	gong	PROPN
ejpam-5567	1128	9	,	,	PUNCT
ejpam-5567	1128	10	and	and	CCONJ
ejpam-5567	1128	11	y.	y.	PROPN
ejpam-5567	1128	12	zou	zou	PROPN
ejpam-5567	1128	13	.	.	PUNCT
ejpam-5567	1129	1	a	a	DET
ejpam-5567	1129	2	combined	combine	VERB
ejpam-5567	1129	3	forecasting	forecasting	NOUN
ejpam-5567	1129	4	approach	approach	NOUN
ejpam-5567	1129	5	based	base	VERB
ejpam-5567	1129	6	on	on	ADP
ejpam-5567	1129	7	fuzzy	fuzzy	ADJ
ejpam-5567	1129	8	soft	soft	ADJ
ejpam-5567	1129	9	sets	set	NOUN
ejpam-5567	1129	10	.	.	PUNCT
ejpam-5567	1130	1	journal	journal	NOUN
ejpam-5567	1130	2	of	of	ADP
ejpam-5567	1130	3	computational	computational	ADJ
ejpam-5567	1130	4	and	and	CCONJ
ejpam-5567	1130	5	applied	applied	ADJ
ejpam-5567	1130	6	mathematics	mathematic	NOUN
ejpam-5567	1130	7	,	,	PUNCT
ejpam-5567	1130	8	228(1):326–333	228(1):326–333	NUM
ejpam-5567	1130	9	,	,	PUNCT
ejpam-5567	1130	10	2009	2009	NUM
ejpam-5567	1130	11	.	.	PUNCT
ejpam-5567	1131	1	[	[	X
ejpam-5567	1131	2	26	26	NUM
ejpam-5567	1131	3	]	]	PUNCT
ejpam-5567	1131	4	c.-f	c.-f	NOUN
ejpam-5567	1131	5	.	.	PUNCT
ejpam-5567	1132	1	yang	yang	PROPN
ejpam-5567	1132	2	.	.	PUNCT
ejpam-5567	1133	1	a	a	DET
ejpam-5567	1133	2	note	note	NOUN
ejpam-5567	1133	3	on	on	ADP
ejpam-5567	1133	4	:	:	PUNCT
ejpam-5567	1133	5	’	'	PUNCT
ejpam-5567	1133	6	soft	soft	ADJ
ejpam-5567	1133	7	set	set	NOUN
ejpam-5567	1133	8	theory	theory	NOUN
ejpam-5567	1133	9	’	'	PUNCT
ejpam-5567	1134	1	[	[	X
ejpam-5567	1134	2	computers	computer	NOUN
ejpam-5567	1134	3	and	and	CCONJ
ejpam-5567	1134	4	mathematics	mathematic	NOUN
ejpam-5567	1134	5	with	with	ADP
ejpam-5567	1134	6	applications	application	NOUN
ejpam-5567	1134	7	45	45	NUM
ejpam-5567	1134	8	(	(	PUNCT
ejpam-5567	1134	9	2003	2003	NUM
ejpam-5567	1134	10	)	)	PUNCT
ejpam-5567	1134	11	,	,	PUNCT
ejpam-5567	1134	12	no	no	INTJ
ejpam-5567	1134	13	.	.	NOUN
ejpam-5567	1134	14	4	4	NUM
ejpam-5567	1134	15	-	-	SYM
ejpam-5567	1134	16	5	5	NUM
ejpam-5567	1134	17	,	,	PUNCT
ejpam-5567	1134	18	555–562	555–562	NUM
ejpam-5567	1134	19	]	]	PUNCT
ejpam-5567	1134	20	.	.	PUNCT
ejpam-5567	1135	1	computers	computer	NOUN
ejpam-5567	1135	2	and	and	CCONJ
ejpam-5567	1135	3	mathematics	mathematic	NOUN
ejpam-5567	1135	4	with	with	ADP
ejpam-5567	1135	5	applications	application	NOUN
ejpam-5567	1135	6	,	,	PUNCT
ejpam-5567	1135	7	56(7):1899–1900	56(7):1899–1900	NOUN
ejpam-5567	1135	8	,	,	PUNCT
ejpam-5567	1135	9	2008	2008	NUM
ejpam-5567	1135	10	.	.	PUNCT
ejpam-5567	1136	1	[	[	X
ejpam-5567	1136	2	27	27	NUM
ejpam-5567	1136	3	]	]	X
ejpam-5567	1136	4	l.	l.	PROPN
ejpam-5567	1136	5	a.	a.	PROPN
ejpam-5567	1136	6	zadeh	zadeh	PROPN
ejpam-5567	1136	7	.	.	PUNCT
ejpam-5567	1136	8	fuzzy	fuzzy	ADJ
ejpam-5567	1136	9	sets	set	NOUN
ejpam-5567	1136	10	.	.	PUNCT
ejpam-5567	1137	1	infor	infor	PROPN
ejpam-5567	1137	2	and	and	CCONJ
ejpam-5567	1137	3	control	control	NOUN
ejpam-5567	1137	4	,	,	PUNCT
ejpam-5567	1137	5	8:338–353	8:338–353	NUM
ejpam-5567	1137	6	,	,	PUNCT
ejpam-5567	1137	7	1986	1986	NUM
ejpam-5567	1137	8	.	.	PUNCT
ejpam-5567	1138	1	[	[	X
ejpam-5567	1138	2	28	28	NUM
ejpam-5567	1138	3	]	]	PUNCT
ejpam-5567	1138	4	p.	p.	NOUN
ejpam-5567	1138	5	zhu	zhu	PROPN
ejpam-5567	1138	6	and	and	CCONJ
ejpam-5567	1138	7	q.	q.	PROPN
ejpam-5567	1138	8	wen	wen	PROPN
ejpam-5567	1138	9	.	.	PROPN
ejpam-5567	1139	1	probabilistic	probabilistic	ADJ
ejpam-5567	1139	2	soft	soft	ADJ
ejpam-5567	1139	3	sets	set	NOUN
ejpam-5567	1139	4	.	.	PUNCT
ejpam-5567	1140	1	in	in	ADP
ejpam-5567	1140	2	proceedings	proceeding	NOUN
ejpam-5567	1140	3	of	of	ADP
ejpam-5567	1140	4	the	the	DET
ejpam-5567	1140	5	ieee	ieee	NOUN
ejpam-5567	1140	6	conference	conference	NOUN
ejpam-5567	1140	7	on	on	ADP
ejpam-5567	1140	8	granular	granular	ADJ
ejpam-5567	1140	9	computing	computing	NOUN
ejpam-5567	1140	10	(	(	PUNCT
ejpam-5567	1140	11	grc	grc	PROPN
ejpam-5567	1140	12	)	)	PUNCT
ejpam-5567	1140	13	,	,	PUNCT
ejpam-5567	1140	14	pages	page	NOUN
ejpam-5567	1140	15	635–638	635–638	NUM
ejpam-5567	1140	16	,	,	PUNCT
ejpam-5567	1140	17	san	san	PROPN
ejpam-5567	1140	18	jose	jose	PROPN
ejpam-5567	1140	19	,	,	PUNCT
ejpam-5567	1140	20	calif	calif	PROPN
ejpam-5567	1140	21	,	,	PUNCT
ejpam-5567	1140	22	usa	usa	PROPN
ejpam-5567	1140	23	,	,	PUNCT
ejpam-5567	1140	24	2010	2010	NUM
ejpam-5567	1140	25	.	.	PUNCT
ejpam-5567	1141	1	ieee	ieee	NOUN
ejpam-5567	1141	2	press	press	PROPN
ejpam-5567	1141	3	.	.	PUNCT
ejpam-5567	1142	1	[	[	X
ejpam-5567	1142	2	29	29	NUM
ejpam-5567	1142	3	]	]	X
ejpam-5567	1142	4	y.	y.	PROPN
ejpam-5567	1142	5	zou	zou	PROPN
ejpam-5567	1142	6	and	and	CCONJ
ejpam-5567	1142	7	z.	z.	PROPN
ejpam-5567	1142	8	xiao	xiao	PROPN
ejpam-5567	1142	9	.	.	PROPN
ejpam-5567	1142	10	data	datum	NOUN
ejpam-5567	1142	11	analysis	analysis	NOUN
ejpam-5567	1142	12	approaches	approach	NOUN
ejpam-5567	1142	13	of	of	ADP
ejpam-5567	1142	14	soft	soft	ADJ
ejpam-5567	1142	15	sets	set	NOUN
ejpam-5567	1142	16	under	under	ADP
ejpam-5567	1142	17	incomplete	incomplete	ADJ
ejpam-5567	1142	18	information	information	NOUN
ejpam-5567	1142	19	.	.	PUNCT
ejpam-5567	1143	1	knowledge	knowledge	NOUN
ejpam-5567	1143	2	-	-	PUNCT
ejpam-5567	1143	3	based	base	VERB
ejpam-5567	1143	4	systems	system	NOUN
ejpam-5567	1143	5	,	,	PUNCT
ejpam-5567	1143	6	21(8):941–945	21(8):941–945	NUM
ejpam-5567	1143	7	,	,	PUNCT
ejpam-5567	1143	8	2008	2008	NUM
ejpam-5567	1143	9	.	.	PUNCT