id	sid	tid	token	lemma	pos
ejpam-5401	1	1	european	european	PROPN
ejpam-5401	1	2	journal	journal	PROPN
ejpam-5401	1	3	of	of	ADP
ejpam-5401	1	4	pure	pure	ADJ
ejpam-5401	1	5	and	and	CCONJ
ejpam-5401	1	6	applied	apply	VERB
ejpam-5401	1	7	mathematics	mathematic	NOUN
ejpam-5401	1	8	vol	vol	NOUN
ejpam-5401	1	9	.	.	PROPN
ejpam-5401	2	1	17	17	NUM
ejpam-5401	2	2	,	,	PUNCT
ejpam-5401	2	3	no	no	INTJ
ejpam-5401	2	4	.	.	NOUN
ejpam-5401	2	5	4	4	NUM
ejpam-5401	2	6	,	,	PUNCT
ejpam-5401	2	7	2024	2024	NUM
ejpam-5401	2	8	,	,	PUNCT
ejpam-5401	2	9	3043	3043	NUM
ejpam-5401	2	10	-	-	SYM
ejpam-5401	2	11	3060	3060	NUM
ejpam-5401	2	12	issn	issn	PROPN
ejpam-5401	2	13	1307	1307	NUM
ejpam-5401	2	14	-	-	SYM
ejpam-5401	2	15	5543	5543	NUM
ejpam-5401	2	16	–	–	PUNCT
ejpam-5401	2	17	ejpam.com	ejpam.com	X
ejpam-5401	2	18	published	publish	VERB
ejpam-5401	2	19	by	by	ADP
ejpam-5401	2	20	new	new	PROPN
ejpam-5401	2	21	york	york	PROPN
ejpam-5401	2	22	business	business	PROPN
ejpam-5401	2	23	global	global	ADJ
ejpam-5401	2	24	plithogenic	plithogenic	ADJ
ejpam-5401	2	25	crisp	crisp	ADJ
ejpam-5401	2	26	hypersoft	hypersoft	NOUN
ejpam-5401	2	27	topology	topology	NOUN
ejpam-5401	2	28	nehmat	nehmat	PROPN
ejpam-5401	2	29	k.	k.	PROPN
ejpam-5401	2	30	ahmed1	ahmed1	PROPN
ejpam-5401	2	31	,	,	PUNCT
ejpam-5401	2	32	osama	osama	PROPN
ejpam-5401	2	33	t.	t.	NOUN
ejpam-5401	2	34	pirbal1,∗	pirbal1,∗	NOUN
ejpam-5401	2	35	1	1	NUM
ejpam-5401	2	36	mathematics	mathematics	PROPN
ejpam-5401	2	37	department	department	NOUN
ejpam-5401	2	38	,	,	PUNCT
ejpam-5401	2	39	college	college	NOUN
ejpam-5401	2	40	of	of	ADP
ejpam-5401	2	41	education	education	NOUN
ejpam-5401	2	42	,	,	PUNCT
ejpam-5401	2	43	salahaddin	salahaddin	VERB
ejpam-5401	2	44	university	university	NOUN
ejpam-5401	2	45	-	-	PUNCT
ejpam-5401	2	46	erbil	erbil	PROPN
ejpam-5401	2	47	,	,	PUNCT
ejpam-5401	2	48	kurdistan	kurdistan	PROPN
ejpam-5401	2	49	,	,	PUNCT
ejpam-5401	2	50	iraq	iraq	PROPN
ejpam-5401	2	51	abstract	abstract	NOUN
ejpam-5401	2	52	.	.	PUNCT
ejpam-5401	3	1	in	in	ADP
ejpam-5401	3	2	this	this	DET
ejpam-5401	3	3	paper	paper	NOUN
ejpam-5401	3	4	,	,	PUNCT
ejpam-5401	3	5	we	we	PRON
ejpam-5401	3	6	deal	deal	VERB
ejpam-5401	3	7	with	with	ADP
ejpam-5401	3	8	the	the	DET
ejpam-5401	3	9	plithogenic	plithogenic	ADJ
ejpam-5401	3	10	crisp	crisp	ADJ
ejpam-5401	3	11	hypersoft	hypersoft	NOUN
ejpam-5401	3	12	set	set	NOUN
ejpam-5401	3	13	.	.	PUNCT
ejpam-5401	4	1	this	this	DET
ejpam-5401	4	2	notion	notion	NOUN
ejpam-5401	4	3	is	be	AUX
ejpam-5401	4	4	more	more	ADV
ejpam-5401	4	5	adaptable	adaptable	ADJ
ejpam-5401	4	6	than	than	ADP
ejpam-5401	4	7	the	the	DET
ejpam-5401	4	8	hypersoft	hypersoft	NOUN
ejpam-5401	4	9	set	set	VERB
ejpam-5401	4	10	and	and	CCONJ
ejpam-5401	4	11	more	more	ADV
ejpam-5401	4	12	suited	suited	ADJ
ejpam-5401	4	13	to	to	ADP
ejpam-5401	4	14	challenges	challenge	NOUN
ejpam-5401	4	15	involving	involve	VERB
ejpam-5401	4	16	decision	decision	NOUN
ejpam-5401	4	17	-	-	PUNCT
ejpam-5401	4	18	making	making	NOUN
ejpam-5401	4	19	.	.	PUNCT
ejpam-5401	5	1	consequently	consequently	ADV
ejpam-5401	5	2	,	,	PUNCT
ejpam-5401	5	3	the	the	DET
ejpam-5401	5	4	topology	topology	NOUN
ejpam-5401	5	5	defined	define	VERB
ejpam-5401	5	6	by	by	ADP
ejpam-5401	5	7	the	the	DET
ejpam-5401	5	8	collection	collection	NOUN
ejpam-5401	5	9	of	of	ADP
ejpam-5401	5	10	this	this	DET
ejpam-5401	5	11	type	type	NOUN
ejpam-5401	5	12	of	of	ADP
ejpam-5401	5	13	set	set	NOUN
ejpam-5401	5	14	will	will	AUX
ejpam-5401	5	15	be	be	AUX
ejpam-5401	5	16	of	of	ADP
ejpam-5401	5	17	great	great	ADJ
ejpam-5401	5	18	importance	importance	NOUN
ejpam-5401	5	19	.	.	PUNCT
ejpam-5401	6	1	through	through	ADP
ejpam-5401	6	2	this	this	DET
ejpam-5401	6	3	paper	paper	NOUN
ejpam-5401	6	4	,	,	PUNCT
ejpam-5401	6	5	first	first	ADV
ejpam-5401	6	6	we	we	PRON
ejpam-5401	6	7	redefine	redefine	VERB
ejpam-5401	6	8	the	the	DET
ejpam-5401	6	9	set	set	ADJ
ejpam-5401	6	10	operations	operation	NOUN
ejpam-5401	6	11	on	on	ADP
ejpam-5401	6	12	this	this	DET
ejpam-5401	6	13	type	type	NOUN
ejpam-5401	6	14	of	of	ADP
ejpam-5401	6	15	set	set	NOUN
ejpam-5401	6	16	(	(	PUNCT
ejpam-5401	6	17	set	set	VERB
ejpam-5401	6	18	theoretic	theoretic	NOUN
ejpam-5401	6	19	)	)	PUNCT
ejpam-5401	6	20	.	.	PUNCT
ejpam-5401	7	1	then	then	ADV
ejpam-5401	7	2	,	,	PUNCT
ejpam-5401	7	3	we	we	PRON
ejpam-5401	7	4	introduce	introduce	VERB
ejpam-5401	7	5	plithogenic	plithogenic	ADJ
ejpam-5401	7	6	crisp	crisp	ADJ
ejpam-5401	7	7	hypersoft	hypersoft	NOUN
ejpam-5401	7	8	topological	topological	ADJ
ejpam-5401	7	9	spaces	space	NOUN
ejpam-5401	7	10	,	,	PUNCT
ejpam-5401	7	11	which	which	PRON
ejpam-5401	7	12	are	be	AUX
ejpam-5401	7	13	defined	define	VERB
ejpam-5401	7	14	over	over	ADP
ejpam-5401	7	15	an	an	DET
ejpam-5401	7	16	initial	initial	ADJ
ejpam-5401	7	17	universal	universal	NOUN
ejpam-5401	7	18	set	set	NOUN
ejpam-5401	7	19	with	with	ADP
ejpam-5401	7	20	a	a	DET
ejpam-5401	7	21	fixed	fix	VERB
ejpam-5401	7	22	set	set	NOUN
ejpam-5401	7	23	of	of	ADP
ejpam-5401	7	24	parameters	parameter	NOUN
ejpam-5401	7	25	.	.	PUNCT
ejpam-5401	8	1	the	the	DET
ejpam-5401	8	2	plithogenic	plithogenic	ADJ
ejpam-5401	8	3	crisp	crisp	ADJ
ejpam-5401	8	4	hypersoft	hypersoft	NOUN
ejpam-5401	8	5	set	set	NOUN
ejpam-5401	8	6	considers	consider	VERB
ejpam-5401	8	7	the	the	DET
ejpam-5401	8	8	degree	degree	NOUN
ejpam-5401	8	9	of	of	ADP
ejpam-5401	8	10	appurtenance	appurtenance	NOUN
ejpam-5401	8	11	of	of	ADP
ejpam-5401	8	12	the	the	DET
ejpam-5401	8	13	elements	element	NOUN
ejpam-5401	8	14	with	with	ADP
ejpam-5401	8	15	respect	respect	NOUN
ejpam-5401	8	16	to	to	ADP
ejpam-5401	8	17	the	the	DET
ejpam-5401	8	18	attribute	attribute	NOUN
ejpam-5401	8	19	system	system	NOUN
ejpam-5401	8	20	.	.	PUNCT
ejpam-5401	9	1	further	far	ADV
ejpam-5401	9	2	,	,	PUNCT
ejpam-5401	9	3	the	the	DET
ejpam-5401	9	4	notions	notion	NOUN
ejpam-5401	9	5	of	of	ADP
ejpam-5401	9	6	plithogenic	plithogenic	ADJ
ejpam-5401	9	7	crisp	crisp	ADJ
ejpam-5401	9	8	hypersoft	hypersoft	ADJ
ejpam-5401	9	9	open	open	ADJ
ejpam-5401	9	10	sets	set	NOUN
ejpam-5401	9	11	,	,	PUNCT
ejpam-5401	9	12	plithogenic	plithogenic	ADJ
ejpam-5401	9	13	crisp	crisp	ADJ
ejpam-5401	9	14	hypersoft	hypersoft	NOUN
ejpam-5401	9	15	closed	close	VERB
ejpam-5401	9	16	sets	set	NOUN
ejpam-5401	9	17	,	,	PUNCT
ejpam-5401	9	18	plithogenic	plithogenic	ADJ
ejpam-5401	9	19	crisp	crisp	ADJ
ejpam-5401	9	20	hypersoft	hypersoft	NOUN
ejpam-5401	9	21	neighborhood	neighborhood	NOUN
ejpam-5401	9	22	,	,	PUNCT
ejpam-5401	9	23	plithogenic	plithogenic	ADJ
ejpam-5401	9	24	crisp	crisp	ADJ
ejpam-5401	9	25	hypersoft	hypersoft	NOUN
ejpam-5401	9	26	limit	limit	NOUN
ejpam-5401	9	27	point	point	NOUN
ejpam-5401	9	28	,	,	PUNCT
ejpam-5401	9	29	and	and	CCONJ
ejpam-5401	9	30	plithogenic	plithogenic	ADJ
ejpam-5401	9	31	crisp	crisp	ADJ
ejpam-5401	9	32	hypersoft	hypersoft	NOUN
ejpam-5401	9	33	subspace	subspace	NOUN
ejpam-5401	9	34	are	be	AUX
ejpam-5401	9	35	introduced	introduce	VERB
ejpam-5401	9	36	,	,	PUNCT
ejpam-5401	9	37	and	and	CCONJ
ejpam-5401	9	38	their	their	PRON
ejpam-5401	9	39	basic	basic	ADJ
ejpam-5401	9	40	properties	property	NOUN
ejpam-5401	9	41	are	be	AUX
ejpam-5401	9	42	investigated	investigate	VERB
ejpam-5401	9	43	.	.	PUNCT
ejpam-5401	10	1	finally	finally	ADV
ejpam-5401	10	2	,	,	PUNCT
ejpam-5401	10	3	we	we	PRON
ejpam-5401	10	4	introduce	introduce	VERB
ejpam-5401	10	5	the	the	DET
ejpam-5401	10	6	concepts	concept	NOUN
ejpam-5401	10	7	of	of	ADP
ejpam-5401	10	8	plithogenic	plithogenic	ADJ
ejpam-5401	10	9	crisp	crisp	ADJ
ejpam-5401	10	10	hypersoft	hypersoft	NOUN
ejpam-5401	10	11	closure	closure	NOUN
ejpam-5401	10	12	and	and	CCONJ
ejpam-5401	10	13	plithogenic	plithogenic	ADJ
ejpam-5401	10	14	crisp	crisp	ADJ
ejpam-5401	10	15	hypersoft	hypersoft	ADJ
ejpam-5401	10	16	interior	interior	NOUN
ejpam-5401	10	17	.	.	PUNCT
ejpam-5401	11	1	2020	2020	NUM
ejpam-5401	11	2	mathematics	mathematic	NOUN
ejpam-5401	11	3	subject	subject	NOUN
ejpam-5401	11	4	classifications	classification	NOUN
ejpam-5401	11	5	:	:	PUNCT
ejpam-5401	11	6	54c50	54c50	NUM
ejpam-5401	11	7	key	key	ADJ
ejpam-5401	11	8	words	word	NOUN
ejpam-5401	11	9	and	and	CCONJ
ejpam-5401	11	10	phrases	phrase	NOUN
ejpam-5401	11	11	:	:	PUNCT
ejpam-5401	11	12	hypersoft	hypersoft	NOUN
ejpam-5401	11	13	sets	set	NOUN
ejpam-5401	11	14	,	,	PUNCT
ejpam-5401	11	15	plithogenic	plithogenic	ADJ
ejpam-5401	11	16	hypersoft	hypersoft	NOUN
ejpam-5401	11	17	sets	set	NOUN
ejpam-5401	11	18	,	,	PUNCT
ejpam-5401	11	19	plithogenic	plithogenic	ADJ
ejpam-5401	11	20	crisp	crisp	ADJ
ejpam-5401	11	21	hypersoft	hypersoft	NOUN
ejpam-5401	11	22	sets	set	NOUN
ejpam-5401	11	23	,	,	PUNCT
ejpam-5401	11	24	plithogenic	plithogenic	ADJ
ejpam-5401	11	25	crisp	crisp	ADJ
ejpam-5401	11	26	hypersoft	hypersoft	NOUN
ejpam-5401	11	27	topology	topology	NOUN
ejpam-5401	11	28	.	.	PUNCT
ejpam-5401	12	1	1	1	X
ejpam-5401	12	2	.	.	X
ejpam-5401	12	3	introduction	introduction	NOUN
ejpam-5401	12	4	in	in	ADP
ejpam-5401	12	5	1999	1999	NUM
ejpam-5401	12	6	,	,	PUNCT
ejpam-5401	12	7	molodtsov	molodtsov	NOUN
ejpam-5401	13	1	[	[	X
ejpam-5401	13	2	18	18	NUM
ejpam-5401	13	3	]	]	PUNCT
ejpam-5401	13	4	introduced	introduce	VERB
ejpam-5401	13	5	the	the	DET
ejpam-5401	13	6	concept	concept	NOUN
ejpam-5401	13	7	of	of	ADP
ejpam-5401	13	8	a	a	DET
ejpam-5401	13	9	soft	soft	ADJ
ejpam-5401	13	10	set	set	NOUN
ejpam-5401	13	11	to	to	PART
ejpam-5401	13	12	deal	deal	VERB
ejpam-5401	13	13	with	with	ADP
ejpam-5401	13	14	the	the	DET
ejpam-5401	13	15	difficult	difficult	ADJ
ejpam-5401	13	16	problems	problem	NOUN
ejpam-5401	13	17	in	in	ADP
ejpam-5401	13	18	economics	economic	NOUN
ejpam-5401	13	19	,	,	PUNCT
ejpam-5401	13	20	engineering	engineering	NOUN
ejpam-5401	13	21	,	,	PUNCT
ejpam-5401	13	22	and	and	CCONJ
ejpam-5401	13	23	the	the	DET
ejpam-5401	13	24	environment	environment	NOUN
ejpam-5401	13	25	,	,	PUNCT
ejpam-5401	13	26	where	where	SCONJ
ejpam-5401	13	27	no	no	DET
ejpam-5401	13	28	mathematical	mathematical	ADJ
ejpam-5401	13	29	methods	method	NOUN
ejpam-5401	13	30	could	could	AUX
ejpam-5401	13	31	effectively	effectively	ADV
ejpam-5401	13	32	deal	deal	VERB
ejpam-5401	13	33	with	with	ADP
ejpam-5401	13	34	the	the	DET
ejpam-5401	13	35	many	many	ADJ
ejpam-5401	13	36	types	type	NOUN
ejpam-5401	13	37	of	of	ADP
ejpam-5401	13	38	uncertainty	uncertainty	NOUN
ejpam-5401	13	39	.	.	PUNCT
ejpam-5401	14	1	biswas	biswas	PROPN
ejpam-5401	14	2	et	et	PROPN
ejpam-5401	14	3	al	al	PROPN
ejpam-5401	14	4	.	.	PUNCT
ejpam-5401	15	1	in	in	ADP
ejpam-5401	15	2	[	[	X
ejpam-5401	15	3	15	15	NUM
ejpam-5401	15	4	]	]	PUNCT
ejpam-5401	15	5	introduced	introduce	VERB
ejpam-5401	15	6	various	various	ADJ
ejpam-5401	15	7	operators	operator	NOUN
ejpam-5401	15	8	for	for	ADP
ejpam-5401	15	9	soft	soft	ADJ
ejpam-5401	15	10	sets	set	NOUN
ejpam-5401	15	11	(	(	PUNCT
ejpam-5401	15	12	see	see	VERB
ejpam-5401	15	13	[	[	X
ejpam-5401	15	14	3	3	NUM
ejpam-5401	15	15	,	,	PUNCT
ejpam-5401	15	16	5	5	NUM
ejpam-5401	15	17	,	,	PUNCT
ejpam-5401	15	18	8	8	NUM
ejpam-5401	15	19	,	,	PUNCT
ejpam-5401	15	20	25	25	NUM
ejpam-5401	15	21	]	]	PUNCT
ejpam-5401	15	22	)	)	PUNCT
ejpam-5401	15	23	.	.	PUNCT
ejpam-5401	16	1	also	also	ADV
ejpam-5401	16	2	,	,	PUNCT
ejpam-5401	16	3	finite	finite	VERB
ejpam-5401	16	4	soft	soft	ADJ
ejpam-5401	16	5	-	-	PUNCT
ejpam-5401	16	6	open	open	ADJ
ejpam-5401	16	7	sets	set	NOUN
ejpam-5401	16	8	introduced	introduce	VERB
ejpam-5401	16	9	by	by	ADP
ejpam-5401	16	10	abd	abd	PROPN
ejpam-5401	16	11	el	el	PROPN
ejpam-5401	16	12	-	-	PROPN
ejpam-5401	16	13	latif	latif	PROPN
ejpam-5401	16	14	et	et	PROPN
ejpam-5401	16	15	al	al	PROPN
ejpam-5401	16	16	.	.	PUNCT
ejpam-5401	17	1	[	[	X
ejpam-5401	17	2	4	4	X
ejpam-5401	17	3	]	]	PUNCT
ejpam-5401	17	4	and	and	CCONJ
ejpam-5401	17	5	supra	supra	PROPN
ejpam-5401	17	6	finite	finite	PROPN
ejpam-5401	17	7	soft	soft	ADJ
ejpam-5401	17	8	-	-	PUNCT
ejpam-5401	17	9	open	open	ADJ
ejpam-5401	17	10	sets	set	NOUN
ejpam-5401	17	11	and	and	CCONJ
ejpam-5401	17	12	applications	application	NOUN
ejpam-5401	17	13	to	to	ADP
ejpam-5401	17	14	operators	operator	NOUN
ejpam-5401	17	15	and	and	CCONJ
ejpam-5401	17	16	continuity	continuity	NOUN
ejpam-5401	17	17	introduced	introduce	VERB
ejpam-5401	17	18	by	by	ADP
ejpam-5401	17	19	arar	arar	PROPN
ejpam-5401	17	20	et	et	PROPN
ejpam-5401	17	21	al	al	PROPN
ejpam-5401	17	22	.	.	PUNCT
ejpam-5401	18	1	[	[	X
ejpam-5401	18	2	26	26	NUM
ejpam-5401	18	3	]	]	PUNCT
ejpam-5401	18	4	.	.	PUNCT
ejpam-5401	19	1	it	it	PRON
ejpam-5401	19	2	is	be	AUX
ejpam-5401	19	3	known	know	VERB
ejpam-5401	19	4	that	that	SCONJ
ejpam-5401	19	5	topology	topology	NOUN
ejpam-5401	19	6	is	be	AUX
ejpam-5401	19	7	a	a	DET
ejpam-5401	19	8	branch	branch	NOUN
ejpam-5401	19	9	of	of	ADP
ejpam-5401	19	10	mathematics	mathematic	NOUN
ejpam-5401	19	11	that	that	PRON
ejpam-5401	19	12	has	have	VERB
ejpam-5401	19	13	numerous	numerous	ADJ
ejpam-5401	19	14	applications	application	NOUN
ejpam-5401	19	15	in	in	ADP
ejpam-5401	19	16	the	the	DET
ejpam-5401	19	17	physical	physical	ADJ
ejpam-5401	19	18	and	and	CCONJ
ejpam-5401	19	19	computer	computer	NOUN
ejpam-5401	19	20	sciences	science	NOUN
ejpam-5401	19	21	.	.	PUNCT
ejpam-5401	20	1	topology	topology	NOUN
ejpam-5401	20	2	is	be	AUX
ejpam-5401	20	3	the	the	DET
ejpam-5401	20	4	study	study	NOUN
ejpam-5401	20	5	of	of	ADP
ejpam-5401	20	6	the	the	DET
ejpam-5401	20	7	qualitative	qualitative	ADJ
ejpam-5401	20	8	properties	property	NOUN
ejpam-5401	20	9	of	of	ADP
ejpam-5401	20	10	particular	particular	ADJ
ejpam-5401	20	11	objects	object	NOUN
ejpam-5401	20	12	,	,	PUNCT
ejpam-5401	20	13	known	know	VERB
ejpam-5401	20	14	as	as	ADP
ejpam-5401	20	15	topological	topological	ADJ
ejpam-5401	20	16	spaces	space	NOUN
ejpam-5401	20	17	,	,	PUNCT
ejpam-5401	20	18	which	which	PRON
ejpam-5401	20	19	are	be	AUX
ejpam-5401	20	20	invariant	invariant	ADJ
ejpam-5401	20	21	under	under	ADP
ejpam-5401	20	22	specific	specific	ADJ
ejpam-5401	20	23	transformations	transformation	NOUN
ejpam-5401	20	24	,	,	PUNCT
ejpam-5401	20	25	known	know	VERB
ejpam-5401	20	26	as	as	ADP
ejpam-5401	20	27	continuous	continuous	ADJ
ejpam-5401	20	28	mappings	mapping	NOUN
ejpam-5401	20	29	.	.	PUNCT
ejpam-5401	21	1	open	open	ADJ
ejpam-5401	21	2	sets	set	NOUN
ejpam-5401	21	3	are	be	AUX
ejpam-5401	21	4	commonly	commonly	ADV
ejpam-5401	21	5	used	use	VERB
ejpam-5401	21	6	to	to	PART
ejpam-5401	21	7	describe	describe	VERB
ejpam-5401	21	8	these	these	DET
ejpam-5401	21	9	characteristics	characteristic	NOUN
ejpam-5401	21	10	.	.	PUNCT
ejpam-5401	22	1	by	by	ADP
ejpam-5401	22	2	replacing	replace	VERB
ejpam-5401	22	3	open	open	ADJ
ejpam-5401	22	4	sets	set	NOUN
ejpam-5401	22	5	with	with	ADP
ejpam-5401	22	6	more	more	ADJ
ejpam-5401	22	7	general	general	ADJ
ejpam-5401	22	8	ones	one	NOUN
ejpam-5401	22	9	,	,	PUNCT
ejpam-5401	22	10	the	the	DET
ejpam-5401	22	11	concept	concept	NOUN
ejpam-5401	22	12	of	of	ADP
ejpam-5401	22	13	topological	topological	ADJ
ejpam-5401	22	14	space	space	NOUN
ejpam-5401	22	15	is	be	AUX
ejpam-5401	22	16	frequently	frequently	ADV
ejpam-5401	22	17	∗corresponding	∗corresponde	VERB
ejpam-5401	22	18	author	author	NOUN
ejpam-5401	22	19	.	.	PUNCT
ejpam-5401	23	1	doi	doi	NOUN
ejpam-5401	23	2	:	:	PUNCT
ejpam-5401	23	3	https://doi.org/10.29020/nybg.ejpam.v17i4.5401	https://doi.org/10.29020/nybg.ejpam.v17i4.5401	PROPN
ejpam-5401	23	4	email	email	NOUN
ejpam-5401	23	5	addresses	address	NOUN
ejpam-5401	23	6	:	:	PUNCT
ejpam-5401	23	7	nehmat.ahmed@su.edu.krd	nehmat.ahmed@su.edu.krd	PROPN
ejpam-5401	23	8	(	(	PUNCT
ejpam-5401	23	9	n.	n.	PROPN
ejpam-5401	23	10	k.	k.	PROPN
ejpam-5401	23	11	ahmed	ahmed	PROPN
ejpam-5401	23	12	)	)	PUNCT
ejpam-5401	23	13	,	,	PUNCT
ejpam-5401	23	14	osama.pirbal@su.edu.krd	osama.pirbal@su.edu.krd	NOUN
ejpam-5401	23	15	(	(	PUNCT
ejpam-5401	23	16	o.	o.	PROPN
ejpam-5401	23	17	t.	t.	PROPN
ejpam-5401	23	18	pirbal	pirbal	PROPN
ejpam-5401	23	19	)	)	PUNCT
ejpam-5401	23	20	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5401	23	21	3043	3043	NUM
ejpam-5401	23	22	copyright	copyright	NOUN
ejpam-5401	23	23	:	:	PUNCT
ejpam-5401	23	24	©	©	PROPN
ejpam-5401	23	25	2024	2024	NUM
ejpam-5401	23	26	the	the	DET
ejpam-5401	23	27	author(s	author(s	NOUN
ejpam-5401	23	28	)	)	PUNCT
ejpam-5401	23	29	.	.	PUNCT
ejpam-5401	24	1	(	(	PUNCT
ejpam-5401	24	2	cc	cc	NOUN
ejpam-5401	24	3	by	by	ADP
ejpam-5401	24	4	-	-	PUNCT
ejpam-5401	24	5	nc	nc	PROPN
ejpam-5401	24	6	4.0	4.0	NUM
ejpam-5401	24	7	)	)	PUNCT
ejpam-5401	24	8	n.	n.	PROPN
ejpam-5401	24	9	k.	k.	PROPN
ejpam-5401	24	10	ahmed	ahmed	PROPN
ejpam-5401	24	11	,	,	PUNCT
ejpam-5401	24	12	o.	o.	PROPN
ejpam-5401	24	13	t.	t.	PROPN
ejpam-5401	24	14	pirbal	pirbal	PROPN
ejpam-5401	24	15	/	/	SYM
ejpam-5401	24	16	eur	eur	PROPN
ejpam-5401	24	17	.	.	PUNCT
ejpam-5401	25	1	j.	j.	PROPN
ejpam-5401	25	2	pure	pure	PROPN
ejpam-5401	25	3	appl	appl	PROPN
ejpam-5401	25	4	.	.	PROPN
ejpam-5401	25	5	math	math	PROPN
ejpam-5401	25	6	,	,	PUNCT
ejpam-5401	25	7	17	17	NUM
ejpam-5401	25	8	(	(	PUNCT
ejpam-5401	25	9	4	4	NUM
ejpam-5401	25	10	)	)	PUNCT
ejpam-5401	25	11	(	(	PUNCT
ejpam-5401	25	12	2024	2024	NUM
ejpam-5401	25	13	)	)	PUNCT
ejpam-5401	25	14	,	,	PUNCT
ejpam-5401	25	15	3043	3043	NUM
ejpam-5401	25	16	-	-	SYM
ejpam-5401	25	17	3060	3060	NUM
ejpam-5401	25	18	3044	3044	NUM
ejpam-5401	25	19	generalized	generalize	VERB
ejpam-5401	25	20	.	.	PUNCT
ejpam-5401	26	1	a	a	DET
ejpam-5401	26	2	classic	classic	ADJ
ejpam-5401	26	3	example	example	NOUN
ejpam-5401	26	4	of	of	ADP
ejpam-5401	26	5	this	this	DET
ejpam-5401	26	6	form	form	NOUN
ejpam-5401	26	7	of	of	ADP
ejpam-5401	26	8	generalization	generalization	NOUN
ejpam-5401	26	9	is	be	AUX
ejpam-5401	26	10	fuzzy	fuzzy	ADJ
ejpam-5401	26	11	topology	topology	NOUN
ejpam-5401	26	12	,	,	PUNCT
ejpam-5401	26	13	proposed	propose	VERB
ejpam-5401	26	14	by	by	ADP
ejpam-5401	26	15	chang	chang	PROPN
ejpam-5401	27	1	[	[	X
ejpam-5401	27	2	10	10	NUM
ejpam-5401	27	3	]	]	PUNCT
ejpam-5401	27	4	and	and	CCONJ
ejpam-5401	27	5	later	later	ADV
ejpam-5401	27	6	fuzzy	fuzzy	ADJ
ejpam-5401	27	7	topology	topology	NOUN
ejpam-5401	27	8	introduced	introduce	VERB
ejpam-5401	27	9	by	by	ADP
ejpam-5401	27	10	lowen	lowen	PROPN
ejpam-5401	28	1	[	[	X
ejpam-5401	28	2	14	14	NUM
ejpam-5401	28	3	]	]	PUNCT
ejpam-5401	28	4	.	.	PUNCT
ejpam-5401	29	1	topological	topological	ADJ
ejpam-5401	29	2	structures	structure	NOUN
ejpam-5401	29	3	on	on	ADP
ejpam-5401	29	4	soft	soft	ADJ
ejpam-5401	29	5	sets	set	NOUN
ejpam-5401	29	6	,	,	PUNCT
ejpam-5401	29	7	in	in	ADP
ejpam-5401	29	8	a	a	DET
ejpam-5401	29	9	similar	similar	ADJ
ejpam-5401	29	10	manner	manner	NOUN
ejpam-5401	29	11	,	,	PUNCT
ejpam-5401	29	12	are	be	AUX
ejpam-5401	29	13	more	more	ADV
ejpam-5401	29	14	generalized	generalized	ADJ
ejpam-5401	29	15	methods	method	NOUN
ejpam-5401	29	16	that	that	PRON
ejpam-5401	29	17	can	can	AUX
ejpam-5401	29	18	be	be	AUX
ejpam-5401	29	19	used	use	VERB
ejpam-5401	29	20	to	to	PART
ejpam-5401	29	21	measure	measure	VERB
ejpam-5401	29	22	the	the	DET
ejpam-5401	29	23	similarities	similarity	NOUN
ejpam-5401	29	24	and	and	CCONJ
ejpam-5401	29	25	differences	difference	NOUN
ejpam-5401	29	26	between	between	ADP
ejpam-5401	29	27	the	the	DET
ejpam-5401	29	28	objects	object	NOUN
ejpam-5401	29	29	in	in	ADP
ejpam-5401	29	30	a	a	DET
ejpam-5401	29	31	universe	universe	NOUN
ejpam-5401	29	32	that	that	PRON
ejpam-5401	29	33	are	be	AUX
ejpam-5401	29	34	soft	soft	ADJ
ejpam-5401	29	35	sets	set	NOUN
ejpam-5401	29	36	(	(	PUNCT
ejpam-5401	29	37	for	for	ADP
ejpam-5401	29	38	more	more	ADJ
ejpam-5401	29	39	,	,	PUNCT
ejpam-5401	29	40	see	see	VERB
ejpam-5401	29	41	[	[	X
ejpam-5401	29	42	11	11	NUM
ejpam-5401	29	43	,	,	PUNCT
ejpam-5401	29	44	12	12	NUM
ejpam-5401	29	45	,	,	PUNCT
ejpam-5401	29	46	24	24	NUM
ejpam-5401	29	47	]	]	PUNCT
ejpam-5401	29	48	)	)	PUNCT
ejpam-5401	29	49	.	.	PUNCT
ejpam-5401	30	1	in	in	ADP
ejpam-5401	30	2	2018	2018	NUM
ejpam-5401	30	3	,	,	PUNCT
ejpam-5401	30	4	smarandache	smarandache	NOUN
ejpam-5401	30	5	[	[	X
ejpam-5401	30	6	27	27	NUM
ejpam-5401	30	7	]	]	PUNCT
ejpam-5401	30	8	expanded	expand	VERB
ejpam-5401	30	9	the	the	DET
ejpam-5401	30	10	concept	concept	NOUN
ejpam-5401	30	11	of	of	ADP
ejpam-5401	30	12	soft	soft	ADJ
ejpam-5401	30	13	set	set	NOUN
ejpam-5401	30	14	to	to	ADP
ejpam-5401	30	15	a	a	DET
ejpam-5401	30	16	hypersoft	hypersoft	NOUN
ejpam-5401	30	17	set	set	VERB
ejpam-5401	30	18	by	by	ADP
ejpam-5401	30	19	substituting	substitute	VERB
ejpam-5401	30	20	the	the	DET
ejpam-5401	30	21	function	function	NOUN
ejpam-5401	30	22	with	with	ADP
ejpam-5401	30	23	a	a	DET
ejpam-5401	30	24	multi	multi	ADJ
ejpam-5401	30	25	-	-	ADJ
ejpam-5401	30	26	argument	argument	ADJ
ejpam-5401	30	27	function	function	NOUN
ejpam-5401	30	28	described	describe	VERB
ejpam-5401	30	29	in	in	ADP
ejpam-5401	30	30	the	the	DET
ejpam-5401	30	31	cartesian	cartesian	ADJ
ejpam-5401	30	32	product	product	NOUN
ejpam-5401	30	33	with	with	ADP
ejpam-5401	30	34	a	a	DET
ejpam-5401	30	35	different	different	ADJ
ejpam-5401	30	36	set	set	NOUN
ejpam-5401	30	37	of	of	ADP
ejpam-5401	30	38	parameters	parameter	NOUN
ejpam-5401	30	39	.	.	PUNCT
ejpam-5401	31	1	this	this	DET
ejpam-5401	31	2	concept	concept	NOUN
ejpam-5401	31	3	is	be	AUX
ejpam-5401	31	4	more	more	ADV
ejpam-5401	31	5	adaptable	adaptable	ADJ
ejpam-5401	31	6	than	than	ADP
ejpam-5401	31	7	the	the	DET
ejpam-5401	31	8	soft	soft	ADJ
ejpam-5401	31	9	set	set	NOUN
ejpam-5401	31	10	and	and	CCONJ
ejpam-5401	31	11	more	more	ADV
ejpam-5401	31	12	useful	useful	ADJ
ejpam-5401	31	13	when	when	SCONJ
ejpam-5401	31	14	it	it	PRON
ejpam-5401	31	15	comes	come	VERB
ejpam-5401	31	16	to	to	ADP
ejpam-5401	31	17	making	make	VERB
ejpam-5401	31	18	decisions	decision	NOUN
ejpam-5401	31	19	.	.	PUNCT
ejpam-5401	32	1	researchers	researcher	NOUN
ejpam-5401	32	2	have	have	AUX
ejpam-5401	32	3	been	be	AUX
ejpam-5401	32	4	drawn	draw	VERB
ejpam-5401	32	5	to	to	ADP
ejpam-5401	32	6	the	the	DET
ejpam-5401	32	7	hypersoft	hypersoft	NOUN
ejpam-5401	32	8	set	set	VERB
ejpam-5401	32	9	structure	structure	NOUN
ejpam-5401	32	10	because	because	SCONJ
ejpam-5401	32	11	it	it	PRON
ejpam-5401	32	12	is	be	AUX
ejpam-5401	32	13	better	well	ADV
ejpam-5401	32	14	suited	suit	VERB
ejpam-5401	32	15	to	to	ADP
ejpam-5401	32	16	decision	decision	NOUN
ejpam-5401	32	17	-	-	PUNCT
ejpam-5401	32	18	making	make	VERB
ejpam-5401	32	19	difficulties	difficulty	NOUN
ejpam-5401	32	20	than	than	ADP
ejpam-5401	32	21	the	the	DET
ejpam-5401	32	22	soft	soft	ADJ
ejpam-5401	32	23	set	set	NOUN
ejpam-5401	32	24	structure	structure	NOUN
ejpam-5401	32	25	.	.	PUNCT
ejpam-5401	33	1	the	the	DET
ejpam-5401	33	2	fundamentals	fundamental	NOUN
ejpam-5401	33	3	of	of	ADP
ejpam-5401	33	4	hypersoft	hypersoft	NOUN
ejpam-5401	33	5	sets	set	NOUN
ejpam-5401	33	6	are	be	AUX
ejpam-5401	33	7	studied	study	VERB
ejpam-5401	33	8	by	by	ADP
ejpam-5401	33	9	siddique	siddique	PROPN
ejpam-5401	33	10	et	et	PROPN
ejpam-5401	33	11	al	al	PROPN
ejpam-5401	33	12	.	.	PUNCT
ejpam-5401	34	1	[	[	X
ejpam-5401	34	2	23	23	NUM
ejpam-5401	34	3	]	]	PUNCT
ejpam-5401	34	4	(	(	PUNCT
ejpam-5401	34	5	also	also	ADV
ejpam-5401	34	6	see	see	VERB
ejpam-5401	34	7	[	[	X
ejpam-5401	34	8	22	22	NUM
ejpam-5401	34	9	]	]	PUNCT
ejpam-5401	34	10	)	)	PUNCT
ejpam-5401	34	11	.	.	PUNCT
ejpam-5401	35	1	the	the	DET
ejpam-5401	35	2	idea	idea	NOUN
ejpam-5401	35	3	of	of	ADP
ejpam-5401	35	4	hypersoft	hypersoft	NOUN
ejpam-5401	35	5	sets	set	NOUN
ejpam-5401	35	6	is	be	AUX
ejpam-5401	35	7	combined	combine	VERB
ejpam-5401	35	8	with	with	ADP
ejpam-5401	35	9	topology	topology	NOUN
ejpam-5401	35	10	by	by	ADP
ejpam-5401	35	11	musa	musa	NOUN
ejpam-5401	35	12	and	and	CCONJ
ejpam-5401	35	13	asaad	asaad	NOUN
ejpam-5401	36	1	[	[	X
ejpam-5401	36	2	20	20	NUM
ejpam-5401	36	3	]	]	PUNCT
ejpam-5401	36	4	,	,	PUNCT
ejpam-5401	36	5	in	in	ADP
ejpam-5401	36	6	which	which	PRON
ejpam-5401	36	7	they	they	PRON
ejpam-5401	36	8	introduced	introduce	VERB
ejpam-5401	36	9	hypersoft	hypersoft	PROPN
ejpam-5401	36	10	topological	topological	ADJ
ejpam-5401	36	11	spaces	space	NOUN
ejpam-5401	36	12	,	,	PUNCT
ejpam-5401	36	13	which	which	PRON
ejpam-5401	36	14	are	be	AUX
ejpam-5401	36	15	defined	define	VERB
ejpam-5401	36	16	over	over	ADP
ejpam-5401	36	17	an	an	DET
ejpam-5401	36	18	initial	initial	ADJ
ejpam-5401	36	19	universe	universe	NOUN
ejpam-5401	36	20	with	with	ADP
ejpam-5401	36	21	a	a	DET
ejpam-5401	36	22	fixed	fix	VERB
ejpam-5401	36	23	set	set	NOUN
ejpam-5401	36	24	of	of	ADP
ejpam-5401	36	25	parameters	parameter	NOUN
ejpam-5401	36	26	.	.	PUNCT
ejpam-5401	37	1	furthermore	furthermore	ADV
ejpam-5401	37	2	,	,	PUNCT
ejpam-5401	37	3	continuity	continuity	NOUN
ejpam-5401	37	4	and	and	CCONJ
ejpam-5401	37	5	compactness	compactness	NOUN
ejpam-5401	37	6	via	via	ADP
ejpam-5401	37	7	hypersoft	hypersoft	PROPN
ejpam-5401	37	8	open	open	ADJ
ejpam-5401	37	9	sets	set	NOUN
ejpam-5401	37	10	introduced	introduce	VERB
ejpam-5401	37	11	by	by	ADP
ejpam-5401	37	12	asaad	asaad	NOUN
ejpam-5401	37	13	and	and	CCONJ
ejpam-5401	37	14	musa	musa	NOUN
ejpam-5401	38	1	[	[	X
ejpam-5401	38	2	6	6	NUM
ejpam-5401	38	3	]	]	PUNCT
ejpam-5401	38	4	,	,	PUNCT
ejpam-5401	38	5	connectedness	connectedness	NOUN
ejpam-5401	38	6	on	on	ADP
ejpam-5401	38	7	hypersoft	hypersoft	PROPN
ejpam-5401	38	8	topological	topological	ADJ
ejpam-5401	38	9	spaces	space	NOUN
ejpam-5401	38	10	by	by	ADP
ejpam-5401	38	11	musa	musa	NOUN
ejpam-5401	38	12	and	and	CCONJ
ejpam-5401	38	13	asaad	asaad	NOUN
ejpam-5401	39	1	[	[	X
ejpam-5401	39	2	19	19	NUM
ejpam-5401	39	3	]	]	PUNCT
ejpam-5401	39	4	and	and	CCONJ
ejpam-5401	39	5	hypersoft	hypersoft	NOUN
ejpam-5401	39	6	separation	separation	NOUN
ejpam-5401	39	7	axioms	axiom	NOUN
ejpam-5401	39	8	by	by	ADP
ejpam-5401	39	9	asaad	asaad	NOUN
ejpam-5401	39	10	and	and	CCONJ
ejpam-5401	39	11	musa	musa	NOUN
ejpam-5401	40	1	[	[	X
ejpam-5401	40	2	7	7	NUM
ejpam-5401	40	3	]	]	PUNCT
ejpam-5401	40	4	are	be	AUX
ejpam-5401	40	5	developed	develop	VERB
ejpam-5401	40	6	the	the	DET
ejpam-5401	40	7	field	field	NOUN
ejpam-5401	40	8	of	of	ADP
ejpam-5401	40	9	topology	topology	NOUN
ejpam-5401	40	10	.	.	PUNCT
ejpam-5401	41	1	also	also	ADV
ejpam-5401	41	2	,	,	PUNCT
ejpam-5401	41	3	an	an	DET
ejpam-5401	41	4	innovative	innovative	ADJ
ejpam-5401	41	5	extension	extension	NOUN
ejpam-5401	41	6	of	of	ADP
ejpam-5401	41	7	hypersoft	hypersoft	NOUN
ejpam-5401	41	8	sets	set	NOUN
ejpam-5401	41	9	and	and	CCONJ
ejpam-5401	41	10	their	their	PRON
ejpam-5401	41	11	applications	application	NOUN
ejpam-5401	42	1	[	[	X
ejpam-5401	42	2	21	21	NUM
ejpam-5401	42	3	]	]	PUNCT
ejpam-5401	42	4	is	be	AUX
ejpam-5401	42	5	introduced	introduce	VERB
ejpam-5401	42	6	by	by	ADP
ejpam-5401	42	7	mohammed	mohammed	PROPN
ejpam-5401	42	8	et	et	PROPN
ejpam-5401	42	9	al	al	PROPN
ejpam-5401	42	10	.	.	PROPN
ejpam-5401	43	1	in	in	ADP
ejpam-5401	43	2	the	the	DET
ejpam-5401	43	3	same	same	ADJ
ejpam-5401	43	4	paper	paper	NOUN
ejpam-5401	43	5	[	[	X
ejpam-5401	43	6	27	27	NUM
ejpam-5401	43	7	]	]	PUNCT
ejpam-5401	43	8	,	,	PUNCT
ejpam-5401	43	9	the	the	DET
ejpam-5401	43	10	author	author	NOUN
ejpam-5401	43	11	developed	develop	VERB
ejpam-5401	43	12	the	the	DET
ejpam-5401	43	13	concept	concept	NOUN
ejpam-5401	43	14	of	of	ADP
ejpam-5401	43	15	hypersoft	hypersoft	NOUN
ejpam-5401	43	16	into	into	ADP
ejpam-5401	43	17	a	a	DET
ejpam-5401	43	18	concept	concept	NOUN
ejpam-5401	43	19	called	call	VERB
ejpam-5401	43	20	plithogenic	plithogenic	ADJ
ejpam-5401	43	21	hypersoft	hypersoft	PROPN
ejpam-5401	43	22	set	set	PROPN
ejpam-5401	43	23	.	.	PUNCT
ejpam-5401	44	1	furthermore	furthermore	ADV
ejpam-5401	44	2	,	,	PUNCT
ejpam-5401	44	3	in	in	ADP
ejpam-5401	44	4	the	the	DET
ejpam-5401	44	5	plithogenic	plithogenic	ADJ
ejpam-5401	44	6	crisp	crisp	ADJ
ejpam-5401	44	7	hypersoft	hypersoft	NOUN
ejpam-5401	44	8	set	set	NOUN
ejpam-5401	44	9	,	,	PUNCT
ejpam-5401	44	10	there	there	PRON
ejpam-5401	44	11	is	be	VERB
ejpam-5401	44	12	a	a	DET
ejpam-5401	44	13	degree	degree	NOUN
ejpam-5401	44	14	(	(	PUNCT
ejpam-5401	44	15	0	0	NUM
ejpam-5401	44	16	or	or	CCONJ
ejpam-5401	44	17	1	1	NUM
ejpam-5401	44	18	)	)	PUNCT
ejpam-5401	44	19	of	of	ADP
ejpam-5401	44	20	appurtenance	appurtenance	NOUN
ejpam-5401	44	21	of	of	ADP
ejpam-5401	44	22	an	an	DET
ejpam-5401	44	23	element	element	NOUN
ejpam-5401	44	24	x	x	X
ejpam-5401	44	25	to	to	ADP
ejpam-5401	44	26	the	the	DET
ejpam-5401	44	27	set	set	NOUN
ejpam-5401	44	28	with	with	ADP
ejpam-5401	44	29	respect	respect	NOUN
ejpam-5401	44	30	to	to	ADP
ejpam-5401	44	31	each	each	DET
ejpam-5401	44	32	attribute	attribute	NOUN
ejpam-5401	44	33	value	value	NOUN
ejpam-5401	44	34	.	.	PUNCT
ejpam-5401	45	1	the	the	DET
ejpam-5401	45	2	idea	idea	NOUN
ejpam-5401	45	3	of	of	ADP
ejpam-5401	45	4	a	a	DET
ejpam-5401	45	5	plithogenic	plithogenic	ADJ
ejpam-5401	45	6	hypersoft	hypersoft	NOUN
ejpam-5401	45	7	set	set	NOUN
ejpam-5401	45	8	has	have	VERB
ejpam-5401	45	9	many	many	ADJ
ejpam-5401	45	10	applications	application	NOUN
ejpam-5401	45	11	(	(	PUNCT
ejpam-5401	45	12	see	see	VERB
ejpam-5401	45	13	[	[	X
ejpam-5401	45	14	2	2	NUM
ejpam-5401	45	15	,	,	PUNCT
ejpam-5401	45	16	9	9	NUM
ejpam-5401	45	17	,	,	PUNCT
ejpam-5401	45	18	13	13	NUM
ejpam-5401	45	19	,	,	PUNCT
ejpam-5401	45	20	16	16	NUM
ejpam-5401	45	21	,	,	PUNCT
ejpam-5401	45	22	17	17	NUM
ejpam-5401	45	23	]	]	PUNCT
ejpam-5401	45	24	)	)	PUNCT
ejpam-5401	45	25	.	.	PUNCT
ejpam-5401	46	1	in	in	ADP
ejpam-5401	46	2	[	[	X
ejpam-5401	46	3	1	1	NUM
ejpam-5401	46	4	]	]	PUNCT
ejpam-5401	46	5	,	,	PUNCT
ejpam-5401	46	6	murtaza	murtaza	PROPN
ejpam-5401	46	7	et	et	PROPN
ejpam-5401	46	8	al	al	PROPN
ejpam-5401	46	9	.	.	PROPN
ejpam-5401	46	10	studied	study	VERB
ejpam-5401	46	11	basic	basic	ADJ
ejpam-5401	46	12	operations	operation	NOUN
ejpam-5401	46	13	on	on	ADP
ejpam-5401	46	14	hypersoft	hypersoft	NOUN
ejpam-5401	46	15	sets	set	NOUN
ejpam-5401	46	16	and	and	CCONJ
ejpam-5401	46	17	hypersoft	hypersoft	NOUN
ejpam-5401	46	18	point	point	NOUN
ejpam-5401	46	19	together	together	ADV
ejpam-5401	46	20	some	some	DET
ejpam-5401	46	21	basic	basic	ADJ
ejpam-5401	46	22	properties	property	NOUN
ejpam-5401	46	23	of	of	ADP
ejpam-5401	46	24	plithogenic	plithogenic	ADJ
ejpam-5401	46	25	α	α	PROPN
ejpam-5401	46	26	hypersoft	hypersoft	NOUN
ejpam-5401	46	27	sets	set	VERB
ejpam-5401	46	28	where	where	SCONJ
ejpam-5401	46	29	α	α	NOUN
ejpam-5401	46	30	can	can	AUX
ejpam-5401	46	31	take	take	VERB
ejpam-5401	46	32	any	any	DET
ejpam-5401	46	33	value	value	NOUN
ejpam-5401	46	34	in	in	ADP
ejpam-5401	46	35	the	the	DET
ejpam-5401	46	36	(	(	PUNCT
ejpam-5401	46	37	crisp	crisp	ADJ
ejpam-5401	46	38	,	,	PUNCT
ejpam-5401	46	39	fuzzy	fuzzy	ADJ
ejpam-5401	46	40	,	,	PUNCT
ejpam-5401	46	41	intuitionistic	intuitionistic	ADJ
ejpam-5401	46	42	fuzzy	fuzzy	ADJ
ejpam-5401	46	43	and	and	CCONJ
ejpam-5401	46	44	neutrosophic	neutrosophic	ADJ
ejpam-5401	46	45	)	)	PUNCT
ejpam-5401	46	46	sets	set	NOUN
ejpam-5401	46	47	.	.	PUNCT
ejpam-5401	47	1	when	when	SCONJ
ejpam-5401	47	2	these	these	DET
ejpam-5401	47	3	two	two	NUM
ejpam-5401	47	4	advanced	advanced	ADJ
ejpam-5401	47	5	concepts	concept	NOUN
ejpam-5401	47	6	—	—	PUNCT
ejpam-5401	47	7	plithogenic	plithogenic	ADJ
ejpam-5401	47	8	logic	logic	NOUN
ejpam-5401	47	9	by	by	ADP
ejpam-5401	47	10	smarandache	smarandache	NOUN
ejpam-5401	47	11	[	[	X
ejpam-5401	47	12	28	28	NUM
ejpam-5401	47	13	]	]	PUNCT
ejpam-5401	47	14	and	and	CCONJ
ejpam-5401	47	15	hypersoft	hypersoft	PROPN
ejpam-5401	47	16	topology	topology	NOUN
ejpam-5401	47	17	by	by	ADP
ejpam-5401	47	18	musa	musa	NOUN
ejpam-5401	47	19	and	and	CCONJ
ejpam-5401	47	20	asaad	asaad	NOUN
ejpam-5401	48	1	[	[	X
ejpam-5401	48	2	20	20	NUM
ejpam-5401	48	3	]	]	PUNCT
ejpam-5401	48	4	are	be	AUX
ejpam-5401	48	5	combined	combine	VERB
ejpam-5401	48	6	,	,	PUNCT
ejpam-5401	48	7	they	they	PRON
ejpam-5401	48	8	form	form	VERB
ejpam-5401	48	9	the	the	DET
ejpam-5401	48	10	basis	basis	NOUN
ejpam-5401	48	11	for	for	ADP
ejpam-5401	48	12	the	the	DET
ejpam-5401	48	13	plithogenic	plithogenic	ADJ
ejpam-5401	48	14	crisp	crisp	ADJ
ejpam-5401	48	15	hypersoft	hypersoft	NOUN
ejpam-5401	48	16	topology	topology	NOUN
ejpam-5401	48	17	.	.	PUNCT
ejpam-5401	49	1	this	this	DET
ejpam-5401	49	2	emerging	emerge	VERB
ejpam-5401	49	3	field	field	NOUN
ejpam-5401	49	4	allows	allow	VERB
ejpam-5401	49	5	for	for	ADP
ejpam-5401	49	6	the	the	DET
ejpam-5401	49	7	modeling	modeling	NOUN
ejpam-5401	49	8	of	of	ADP
ejpam-5401	49	9	topological	topological	ADJ
ejpam-5401	49	10	spaces	space	NOUN
ejpam-5401	49	11	where	where	SCONJ
ejpam-5401	49	12	each	each	DET
ejpam-5401	49	13	point	point	NOUN
ejpam-5401	49	14	can	can	AUX
ejpam-5401	49	15	be	be	AUX
ejpam-5401	49	16	characterized	characterize	VERB
ejpam-5401	49	17	by	by	ADP
ejpam-5401	49	18	a	a	DET
ejpam-5401	49	19	set	set	NOUN
ejpam-5401	49	20	of	of	ADP
ejpam-5401	49	21	attributes	attribute	NOUN
ejpam-5401	49	22	,	,	PUNCT
ejpam-5401	49	23	with	with	ADP
ejpam-5401	49	24	each	each	DET
ejpam-5401	49	25	attribute	attribute	NOUN
ejpam-5401	49	26	having	have	VERB
ejpam-5401	49	27	a	a	DET
ejpam-5401	49	28	degree	degree	NOUN
ejpam-5401	49	29	of	of	ADP
ejpam-5401	49	30	belongingness	belongingness	NOUN
ejpam-5401	49	31	that	that	PRON
ejpam-5401	49	32	is	be	AUX
ejpam-5401	49	33	influenced	influence	VERB
ejpam-5401	49	34	by	by	ADP
ejpam-5401	49	35	multiple	multiple	ADJ
ejpam-5401	49	36	,	,	PUNCT
ejpam-5401	49	37	possibly	possibly	ADV
ejpam-5401	49	38	conflicting	conflicting	ADJ
ejpam-5401	49	39	criteria	criterion	NOUN
ejpam-5401	49	40	.	.	PUNCT
ejpam-5401	50	1	in	in	ADP
ejpam-5401	50	2	essence	essence	NOUN
ejpam-5401	50	3	,	,	PUNCT
ejpam-5401	50	4	plithogenic	plithogenic	ADJ
ejpam-5401	50	5	crisp	crisp	ADJ
ejpam-5401	50	6	hypersoft	hypersoft	NOUN
ejpam-5401	50	7	topology	topology	NOUN
ejpam-5401	50	8	provides	provide	VERB
ejpam-5401	50	9	a	a	DET
ejpam-5401	50	10	robust	robust	ADJ
ejpam-5401	50	11	framework	framework	NOUN
ejpam-5401	50	12	for	for	ADP
ejpam-5401	50	13	analyzing	analyze	VERB
ejpam-5401	50	14	and	and	CCONJ
ejpam-5401	50	15	interpreting	interpret	VERB
ejpam-5401	50	16	complex	complex	ADJ
ejpam-5401	50	17	systems	system	NOUN
ejpam-5401	50	18	where	where	SCONJ
ejpam-5401	50	19	uncertainty	uncertainty	NOUN
ejpam-5401	50	20	,	,	PUNCT
ejpam-5401	50	21	indeterminacy	indeterminacy	NOUN
ejpam-5401	50	22	,	,	PUNCT
ejpam-5401	50	23	and	and	CCONJ
ejpam-5401	50	24	multi	multi	ADJ
ejpam-5401	50	25	-	-	NOUN
ejpam-5401	50	26	criteria	criterion	NOUN
ejpam-5401	50	27	decision	decision	NOUN
ejpam-5401	50	28	-	-	PUNCT
ejpam-5401	50	29	making	making	NOUN
ejpam-5401	50	30	play	play	VERB
ejpam-5401	50	31	crucial	crucial	ADJ
ejpam-5401	50	32	roles	role	NOUN
ejpam-5401	50	33	.	.	PUNCT
ejpam-5401	51	1	this	this	DET
ejpam-5401	51	2	framework	framework	NOUN
ejpam-5401	51	3	has	have	VERB
ejpam-5401	51	4	potential	potential	ADJ
ejpam-5401	51	5	applications	application	NOUN
ejpam-5401	51	6	in	in	ADP
ejpam-5401	51	7	areas	area	NOUN
ejpam-5401	51	8	such	such	ADJ
ejpam-5401	51	9	as	as	ADP
ejpam-5401	51	10	decision	decision	NOUN
ejpam-5401	51	11	theory	theory	NOUN
ejpam-5401	51	12	,	,	PUNCT
ejpam-5401	51	13	artificial	artificial	ADJ
ejpam-5401	51	14	intelligence	intelligence	NOUN
ejpam-5401	51	15	,	,	PUNCT
ejpam-5401	51	16	and	and	CCONJ
ejpam-5401	51	17	data	datum	NOUN
ejpam-5401	51	18	science	science	NOUN
ejpam-5401	51	19	,	,	PUNCT
ejpam-5401	51	20	where	where	SCONJ
ejpam-5401	51	21	traditional	traditional	ADJ
ejpam-5401	51	22	topological	topological	ADJ
ejpam-5401	51	23	concepts	concept	NOUN
ejpam-5401	51	24	may	may	AUX
ejpam-5401	51	25	fall	fall	VERB
ejpam-5401	51	26	short	short	ADV
ejpam-5401	51	27	in	in	ADP
ejpam-5401	51	28	capturing	capture	VERB
ejpam-5401	51	29	the	the	DET
ejpam-5401	51	30	intricacies	intricacy	NOUN
ejpam-5401	51	31	of	of	ADP
ejpam-5401	51	32	real	real	ADJ
ejpam-5401	51	33	-	-	PUNCT
ejpam-5401	51	34	world	world	NOUN
ejpam-5401	51	35	phenomena	phenomenon	NOUN
ejpam-5401	51	36	.	.	PUNCT
ejpam-5401	52	1	our	our	PRON
ejpam-5401	52	2	work	work	NOUN
ejpam-5401	52	3	is	be	AUX
ejpam-5401	52	4	organized	organize	VERB
ejpam-5401	52	5	as	as	SCONJ
ejpam-5401	52	6	follows	follow	VERB
ejpam-5401	52	7	:	:	PUNCT
ejpam-5401	52	8	sections	section	NOUN
ejpam-5401	52	9	2	2	NUM
ejpam-5401	52	10	and	and	CCONJ
ejpam-5401	52	11	3	3	NUM
ejpam-5401	52	12	contain	contain	VERB
ejpam-5401	52	13	some	some	DET
ejpam-5401	52	14	basic	basic	ADJ
ejpam-5401	52	15	definitions	definition	NOUN
ejpam-5401	52	16	related	relate	VERB
ejpam-5401	52	17	to	to	ADP
ejpam-5401	52	18	the	the	DET
ejpam-5401	52	19	hypersoft	hypersoft	NOUN
ejpam-5401	52	20	set	set	VERB
ejpam-5401	52	21	and	and	CCONJ
ejpam-5401	52	22	the	the	DET
ejpam-5401	52	23	plithogenic	plithogenic	ADJ
ejpam-5401	52	24	hypersoft	hypersoft	NOUN
ejpam-5401	52	25	set	set	NOUN
ejpam-5401	52	26	that	that	PRON
ejpam-5401	52	27	are	be	AUX
ejpam-5401	52	28	required	require	VERB
ejpam-5401	52	29	in	in	ADP
ejpam-5401	52	30	our	our	PRON
ejpam-5401	52	31	work	work	NOUN
ejpam-5401	52	32	.	.	PUNCT
ejpam-5401	53	1	in	in	ADP
ejpam-5401	53	2	section	section	NOUN
ejpam-5401	53	3	4	4	NUM
ejpam-5401	53	4	,	,	PUNCT
ejpam-5401	53	5	we	we	PRON
ejpam-5401	53	6	introduce	introduce	VERB
ejpam-5401	53	7	plithogenic	plithogenic	ADJ
ejpam-5401	53	8	crisp	crisp	ADJ
ejpam-5401	53	9	hypersoft	hypersoft	NOUN
ejpam-5401	53	10	topological	topological	ADJ
ejpam-5401	53	11	spaces	space	NOUN
ejpam-5401	53	12	,	,	PUNCT
ejpam-5401	53	13	which	which	PRON
ejpam-5401	53	14	are	be	AUX
ejpam-5401	53	15	defined	define	VERB
ejpam-5401	53	16	over	over	ADP
ejpam-5401	53	17	an	an	DET
ejpam-5401	53	18	initial	initial	ADJ
ejpam-5401	53	19	universe	universe	NOUN
ejpam-5401	53	20	set	set	VERB
ejpam-5401	53	21	with	with	ADP
ejpam-5401	53	22	a	a	DET
ejpam-5401	53	23	fixed	fix	VERB
ejpam-5401	53	24	set	set	NOUN
ejpam-5401	53	25	of	of	ADP
ejpam-5401	53	26	parameters	parameter	NOUN
ejpam-5401	53	27	,	,	PUNCT
ejpam-5401	53	28	and	and	CCONJ
ejpam-5401	53	29	investigate	investigate	VERB
ejpam-5401	53	30	the	the	DET
ejpam-5401	53	31	concepts	concept	NOUN
ejpam-5401	53	32	of	of	ADP
ejpam-5401	53	33	plithogenic	plithogenic	ADJ
ejpam-5401	53	34	crisp	crisp	ADJ
ejpam-5401	53	35	hypersoft	hypersoft	NOUN
ejpam-5401	53	36	neighborhood	neighborhood	NOUN
ejpam-5401	53	37	and	and	CCONJ
ejpam-5401	53	38	plithogenic	plithogenic	ADJ
ejpam-5401	53	39	crisp	crisp	ADJ
ejpam-5401	53	40	hypersoft	hypersoft	NOUN
ejpam-5401	53	41	limit	limit	NOUN
ejpam-5401	53	42	points	point	NOUN
ejpam-5401	53	43	.	.	PUNCT
ejpam-5401	54	1	in	in	ADP
ejpam-5401	54	2	section	section	NOUN
ejpam-5401	54	3	5	5	NUM
ejpam-5401	54	4	,	,	PUNCT
ejpam-5401	54	5	the	the	DET
ejpam-5401	54	6	notions	notion	NOUN
ejpam-5401	54	7	of	of	ADP
ejpam-5401	54	8	plithogenic	plithogenic	ADJ
ejpam-5401	54	9	crisp	crisp	ADJ
ejpam-5401	54	10	hypersoft	hypersoft	NOUN
ejpam-5401	54	11	closure	closure	NOUN
ejpam-5401	54	12	and	and	CCONJ
ejpam-5401	54	13	plithogenic	plithogenic	ADJ
ejpam-5401	54	14	crisp	crisp	ADJ
ejpam-5401	54	15	hypersoft	hypersoft	ADJ
ejpam-5401	54	16	interior	interior	NOUN
ejpam-5401	54	17	are	be	AUX
ejpam-5401	54	18	introduced	introduce	VERB
ejpam-5401	54	19	.	.	PUNCT
ejpam-5401	55	1	one	one	NUM
ejpam-5401	55	2	thing	thing	NOUN
ejpam-5401	55	3	that	that	PRON
ejpam-5401	55	4	must	must	AUX
ejpam-5401	55	5	be	be	AUX
ejpam-5401	55	6	mentioned	mention	VERB
ejpam-5401	55	7	is	be	AUX
ejpam-5401	55	8	that	that	SCONJ
ejpam-5401	55	9	in	in	ADP
ejpam-5401	55	10	this	this	DET
ejpam-5401	55	11	paper	paper	NOUN
ejpam-5401	55	12	we	we	PRON
ejpam-5401	55	13	have	have	AUX
ejpam-5401	55	14	redefined	redefine	VERB
ejpam-5401	55	15	the	the	DET
ejpam-5401	55	16	definitions	definition	NOUN
ejpam-5401	55	17	that	that	PRON
ejpam-5401	55	18	relate	relate	VERB
ejpam-5401	55	19	to	to	ADP
ejpam-5401	55	20	plithogenic	plithogenic	ADJ
ejpam-5401	55	21	crisp	crisp	ADJ
ejpam-5401	55	22	hypersoft	hypersoft	NOUN
ejpam-5401	55	23	set	set	VERB
ejpam-5401	55	24	in	in	ADP
ejpam-5401	55	25	n.	n.	PROPN
ejpam-5401	55	26	k.	k.	PROPN
ejpam-5401	56	1	ahmed	ahmed	PROPN
ejpam-5401	56	2	,	,	PUNCT
ejpam-5401	56	3	o.	o.	PROPN
ejpam-5401	56	4	t.	t.	PROPN
ejpam-5401	56	5	pirbal	pirbal	PROPN
ejpam-5401	56	6	/	/	SYM
ejpam-5401	56	7	eur	eur	PROPN
ejpam-5401	56	8	.	.	PUNCT
ejpam-5401	57	1	j.	j.	PROPN
ejpam-5401	57	2	pure	pure	PROPN
ejpam-5401	57	3	appl	appl	PROPN
ejpam-5401	57	4	.	.	PROPN
ejpam-5401	57	5	math	math	PROPN
ejpam-5401	57	6	,	,	PUNCT
ejpam-5401	57	7	17	17	NUM
ejpam-5401	57	8	(	(	PUNCT
ejpam-5401	57	9	4	4	NUM
ejpam-5401	57	10	)	)	PUNCT
ejpam-5401	57	11	(	(	PUNCT
ejpam-5401	57	12	2024	2024	NUM
ejpam-5401	57	13	)	)	PUNCT
ejpam-5401	57	14	,	,	PUNCT
ejpam-5401	57	15	3043	3043	NUM
ejpam-5401	57	16	-	-	SYM
ejpam-5401	57	17	3060	3060	NUM
ejpam-5401	57	18	3045	3045	NUM
ejpam-5401	57	19	both	both	DET
ejpam-5401	57	20	aspects	aspect	NOUN
ejpam-5401	57	21	:	:	PUNCT
ejpam-5401	57	22	symbolic	symbolic	ADJ
ejpam-5401	57	23	and	and	CCONJ
ejpam-5401	57	24	expression	expression	NOUN
ejpam-5401	57	25	,	,	PUNCT
ejpam-5401	57	26	and	and	CCONJ
ejpam-5401	57	27	this	this	PRON
ejpam-5401	57	28	is	be	AUX
ejpam-5401	57	29	for	for	ADP
ejpam-5401	57	30	the	the	DET
ejpam-5401	57	31	sake	sake	NOUN
ejpam-5401	57	32	of	of	ADP
ejpam-5401	57	33	the	the	DET
ejpam-5401	57	34	study	study	NOUN
ejpam-5401	57	35	.	.	PUNCT
ejpam-5401	58	1	2	2	X
ejpam-5401	58	2	.	.	X
ejpam-5401	58	3	preliminaries	preliminary	NOUN
ejpam-5401	58	4	since	since	SCONJ
ejpam-5401	58	5	the	the	DET
ejpam-5401	58	6	plithogenic	plithogenic	ADJ
ejpam-5401	58	7	crisp	crisp	ADJ
ejpam-5401	58	8	hypersoft	hypersoft	NOUN
ejpam-5401	58	9	is	be	AUX
ejpam-5401	58	10	the	the	DET
ejpam-5401	58	11	extension	extension	NOUN
ejpam-5401	58	12	of	of	ADP
ejpam-5401	58	13	hypersoft	hypersoft	PROPN
ejpam-5401	58	14	set	set	NOUN
ejpam-5401	58	15	,	,	PUNCT
ejpam-5401	58	16	we	we	PRON
ejpam-5401	58	17	put	put	VERB
ejpam-5401	58	18	the	the	DET
ejpam-5401	58	19	basic	basic	ADJ
ejpam-5401	58	20	definitions	definition	NOUN
ejpam-5401	58	21	here	here	ADV
ejpam-5401	58	22	.	.	PUNCT
ejpam-5401	59	1	definition	definition	NOUN
ejpam-5401	59	2	1	1	NUM
ejpam-5401	59	3	.	.	PUNCT
ejpam-5401	60	1	[	[	X
ejpam-5401	60	2	18	18	NUM
ejpam-5401	60	3	]	]	PUNCT
ejpam-5401	60	4	let	let	VERB
ejpam-5401	60	5	u	u	PRON
ejpam-5401	60	6	be	be	AUX
ejpam-5401	60	7	a	a	DET
ejpam-5401	60	8	universe	universe	NOUN
ejpam-5401	60	9	of	of	ADP
ejpam-5401	60	10	discourse	discourse	NOUN
ejpam-5401	60	11	,	,	PUNCT
ejpam-5401	60	12	p	p	X
ejpam-5401	60	13	(	(	PUNCT
ejpam-5401	60	14	u	u	NOUN
ejpam-5401	60	15	)	)	PUNCT
ejpam-5401	60	16	the	the	DET
ejpam-5401	60	17	power	power	NOUN
ejpam-5401	60	18	set	set	NOUN
ejpam-5401	60	19	of	of	ADP
ejpam-5401	60	20	u	u	PROPN
ejpam-5401	60	21	,	,	PUNCT
ejpam-5401	60	22	and	and	CCONJ
ejpam-5401	60	23	a	a	DET
ejpam-5401	60	24	a	a	DET
ejpam-5401	60	25	set	set	NOUN
ejpam-5401	60	26	of	of	ADP
ejpam-5401	60	27	attributes	attribute	NOUN
ejpam-5401	60	28	.	.	PUNCT
ejpam-5401	61	1	then	then	ADV
ejpam-5401	61	2	,	,	PUNCT
ejpam-5401	61	3	the	the	DET
ejpam-5401	61	4	pair	pair	NOUN
ejpam-5401	61	5	(	(	PUNCT
ejpam-5401	61	6	f	f	X
ejpam-5401	61	7	,	,	PUNCT
ejpam-5401	61	8	u	u	NOUN
ejpam-5401	61	9	)	)	PUNCT
ejpam-5401	61	10	where	where	SCONJ
ejpam-5401	61	11	f	f	X
ejpam-5401	61	12	:	:	PUNCT
ejpam-5401	61	13	a→	a→	PUNCT
ejpam-5401	61	14	p	p	X
ejpam-5401	61	15	(	(	PUNCT
ejpam-5401	61	16	u	u	NOUN
ejpam-5401	61	17	)	)	PUNCT
ejpam-5401	61	18	is	be	AUX
ejpam-5401	61	19	called	call	VERB
ejpam-5401	61	20	a	a	DET
ejpam-5401	61	21	soft	soft	ADJ
ejpam-5401	61	22	set	set	NOUN
ejpam-5401	61	23	over	over	ADP
ejpam-5401	61	24	u	u	PROPN
ejpam-5401	61	25	.	.	PUNCT
ejpam-5401	62	1	definition	definition	NOUN
ejpam-5401	62	2	2	2	NUM
ejpam-5401	62	3	.	.	PUNCT
ejpam-5401	63	1	[	[	X
ejpam-5401	63	2	20	20	NUM
ejpam-5401	63	3	]	]	PUNCT
ejpam-5401	63	4	let	let	VERB
ejpam-5401	63	5	u	u	PRON
ejpam-5401	63	6	be	be	AUX
ejpam-5401	63	7	a	a	DET
ejpam-5401	63	8	universal	universal	ADJ
ejpam-5401	63	9	set	set	NOUN
ejpam-5401	63	10	and	and	CCONJ
ejpam-5401	63	11	p	p	NOUN
ejpam-5401	63	12	(	(	PUNCT
ejpam-5401	63	13	u	u	NOUN
ejpam-5401	63	14	)	)	PUNCT
ejpam-5401	63	15	be	be	VERB
ejpam-5401	63	16	the	the	DET
ejpam-5401	63	17	power	power	NOUN
ejpam-5401	63	18	set	set	NOUN
ejpam-5401	63	19	of	of	ADP
ejpam-5401	63	20	u	u	PROPN
ejpam-5401	63	21	.	.	PUNCT
ejpam-5401	64	1	let	let	VERB
ejpam-5401	64	2	ψ=	ψ=	NOUN
ejpam-5401	64	3	{	{	PUNCT
ejpam-5401	64	4	r1	r1	PROPN
ejpam-5401	64	5	,	,	PUNCT
ejpam-5401	64	6	r2	r2	PROPN
ejpam-5401	64	7	,	,	PUNCT
ejpam-5401	64	8	.	.	PUNCT
ejpam-5401	64	9	.	.	PUNCT
ejpam-5401	65	1	.	.	PUNCT
ejpam-5401	66	1	,	,	PUNCT
ejpam-5401	66	2	rn	rn	AUX
ejpam-5401	66	3	}	}	PUNCT
ejpam-5401	66	4	be	be	AUX
ejpam-5401	66	5	a	a	DET
ejpam-5401	66	6	set	set	NOUN
ejpam-5401	66	7	of	of	ADP
ejpam-5401	66	8	n	n	CCONJ
ejpam-5401	66	9	-	-	PUNCT
ejpam-5401	66	10	distinct	distinct	ADJ
ejpam-5401	66	11	attributes	attribute	NOUN
ejpam-5401	66	12	with	with	ADP
ejpam-5401	66	13	attribute	attribute	NOUN
ejpam-5401	66	14	value	value	NOUN
ejpam-5401	66	15	sets	set	NOUN
ejpam-5401	66	16	respectively	respectively	ADV
ejpam-5401	66	17	as	as	ADP
ejpam-5401	66	18	e1	e1	NOUN
ejpam-5401	66	19	,	,	PUNCT
ejpam-5401	66	20	e2	e2	PROPN
ejpam-5401	66	21	,	,	PUNCT
ejpam-5401	66	22	.	.	PUNCT
ejpam-5401	66	23	.	.	PUNCT
ejpam-5401	67	1	.	.	PUNCT
ejpam-5401	68	1	,	,	PUNCT
ejpam-5401	68	2	en	en	X
ejpam-5401	68	3	,	,	PUNCT
ejpam-5401	68	4	where	where	SCONJ
ejpam-5401	68	5	ei∩ej=ϕ	ei∩ej=ϕ	VERB
ejpam-5401	68	6	for	for	ADP
ejpam-5401	68	7	i̸=j	i̸=j	PROPN
ejpam-5401	68	8	and	and	CCONJ
ejpam-5401	68	9	i	i	PROPN
ejpam-5401	68	10	,	,	PUNCT
ejpam-5401	68	11	j∈{1	j∈{1	PROPN
ejpam-5401	68	12	,	,	PUNCT
ejpam-5401	68	13	2	2	NUM
ejpam-5401	68	14	,	,	PUNCT
ejpam-5401	68	15	.	.	PUNCT
ejpam-5401	68	16	.	.	PUNCT
ejpam-5401	69	1	.	.	PUNCT
ejpam-5401	70	1	,	,	PUNCT
ejpam-5401	71	1	n	n	CCONJ
ejpam-5401	71	2	}	}	PUNCT
ejpam-5401	71	3	.	.	PUNCT
ejpam-5401	72	1	also	also	ADV
ejpam-5401	72	2	,	,	PUNCT
ejpam-5401	72	3	let	let	VERB
ejpam-5401	72	4	di	di	PART
ejpam-5401	72	5	be	be	AUX
ejpam-5401	72	6	the	the	DET
ejpam-5401	72	7	nonempty	nonempty	ADJ
ejpam-5401	72	8	subset	subset	NOUN
ejpam-5401	72	9	of	of	ADP
ejpam-5401	72	10	ei	ei	NOUN
ejpam-5401	72	11	for	for	ADP
ejpam-5401	72	12	each	each	DET
ejpam-5401	72	13	i∈{1	i∈{1	PROPN
ejpam-5401	72	14	,	,	PUNCT
ejpam-5401	72	15	2	2	NUM
ejpam-5401	72	16	,	,	PUNCT
ejpam-5401	72	17	.	.	PUNCT
ejpam-5401	72	18	.	.	PUNCT
ejpam-5401	73	1	.	.	PUNCT
ejpam-5401	74	1	,	,	PUNCT
ejpam-5401	74	2	n	n	CCONJ
ejpam-5401	74	3	}	}	PUNCT
ejpam-5401	74	4	and	and	CCONJ
ejpam-5401	74	5	vψ	vψ	ADP
ejpam-5401	74	6	=	=	SYM
ejpam-5401	74	7	d1×d2×	d1×d2×	X
ejpam-5401	74	8	·	·	PUNCT
ejpam-5401	74	9	·	·	PUNCT
ejpam-5401	74	10	·	·	PUNCT
ejpam-5401	74	11	×dn	×dn	NOUN
ejpam-5401	74	12	.	.	PUNCT
ejpam-5401	75	1	the	the	DET
ejpam-5401	75	2	pair	pair	NOUN
ejpam-5401	75	3	(	(	PUNCT
ejpam-5401	75	4	γ	γ	X
ejpam-5401	75	5	,	,	PUNCT
ejpam-5401	75	6	vψ	vψ	NOUN
ejpam-5401	75	7	)	)	PUNCT
ejpam-5401	75	8	where	where	SCONJ
ejpam-5401	75	9	γ	γ	X
ejpam-5401	75	10	:	:	PUNCT
ejpam-5401	75	11	vψ→p	vψ→p	NOUN
ejpam-5401	75	12	(	(	PUNCT
ejpam-5401	75	13	u	u	NOUN
ejpam-5401	75	14	)	)	PUNCT
ejpam-5401	75	15	is	be	AUX
ejpam-5401	75	16	called	call	VERB
ejpam-5401	75	17	a	a	DET
ejpam-5401	75	18	hypersoft	hypersoft	NOUN
ejpam-5401	75	19	(	(	PUNCT
ejpam-5401	75	20	in	in	ADP
ejpam-5401	75	21	short	short	ADJ
ejpam-5401	75	22	,	,	PUNCT
ejpam-5401	75	23	hs	hs	NOUN
ejpam-5401	75	24	)	)	PUNCT
ejpam-5401	75	25	set	set	NOUN
ejpam-5401	75	26	.	.	PUNCT
ejpam-5401	76	1	that	that	PRON
ejpam-5401	76	2	is	be	AUX
ejpam-5401	76	3	,	,	PUNCT
ejpam-5401	76	4	(	(	PUNCT
ejpam-5401	76	5	γ	γ	X
ejpam-5401	76	6	,	,	PUNCT
ejpam-5401	76	7	vψ)={(α	vψ)={(α	PROPN
ejpam-5401	76	8	,	,	PUNCT
ejpam-5401	76	9	γ(α	γ(α	PROPN
ejpam-5401	76	10	)	)	PUNCT
ejpam-5401	76	11	)	)	PUNCT
ejpam-5401	76	12	:	:	PUNCT
ejpam-5401	76	13	α∈vψ	α∈vψ	NOUN
ejpam-5401	76	14	}	}	PUNCT
ejpam-5401	76	15	.	.	PUNCT
ejpam-5401	77	1	definition	definition	NOUN
ejpam-5401	77	2	3	3	NUM
ejpam-5401	77	3	.	.	PUNCT
ejpam-5401	78	1	[	[	X
ejpam-5401	78	2	23	23	NUM
ejpam-5401	78	3	]	]	X
ejpam-5401	78	4	let	let	ADJ
ejpam-5401	78	5	(	(	PUNCT
ejpam-5401	78	6	γ1	γ1	NOUN
ejpam-5401	78	7	,	,	PUNCT
ejpam-5401	78	8	fψ	fψ	PROPN
ejpam-5401	78	9	)	)	PUNCT
ejpam-5401	78	10	and	and	CCONJ
ejpam-5401	78	11	(	(	PUNCT
ejpam-5401	78	12	γ2	γ2	PROPN
ejpam-5401	78	13	,	,	PUNCT
ejpam-5401	78	14	hψ	hψ	PRON
ejpam-5401	78	15	)	)	PUNCT
ejpam-5401	78	16	be	be	VERB
ejpam-5401	78	17	two	two	NUM
ejpam-5401	78	18	hypersoft	hypersoft	NOUN
ejpam-5401	78	19	sets	set	NOUN
ejpam-5401	78	20	over	over	ADP
ejpam-5401	78	21	u	u	PROPN
ejpam-5401	78	22	.	.	PUNCT
ejpam-5401	79	1	then	then	ADV
ejpam-5401	79	2	(	(	PUNCT
ejpam-5401	79	3	γ1	γ1	PROPN
ejpam-5401	79	4	,	,	PUNCT
ejpam-5401	79	5	fψ	fψ	PROPN
ejpam-5401	79	6	)	)	PUNCT
ejpam-5401	79	7	is	be	AUX
ejpam-5401	79	8	a	a	DET
ejpam-5401	79	9	hypersoft	hypersoft	NOUN
ejpam-5401	79	10	subsets	subset	NOUN
ejpam-5401	79	11	of	of	ADP
ejpam-5401	79	12	(	(	PUNCT
ejpam-5401	79	13	γ2	γ2	PROPN
ejpam-5401	79	14	,	,	PUNCT
ejpam-5401	79	15	hψ	hψ	NOUN
ejpam-5401	79	16	)	)	PUNCT
ejpam-5401	79	17	if	if	SCONJ
ejpam-5401	79	18	:	:	PUNCT
ejpam-5401	79	19	(	(	PUNCT
ejpam-5401	79	20	i	i	NOUN
ejpam-5401	79	21	)	)	PUNCT
ejpam-5401	79	22	fψ⊆hψ	fψ⊆hψ	PROPN
ejpam-5401	79	23	,	,	PUNCT
ejpam-5401	79	24	and	and	CCONJ
ejpam-5401	79	25	(	(	PUNCT
ejpam-5401	79	26	ii	ii	NOUN
ejpam-5401	79	27	)	)	PUNCT
ejpam-5401	79	28	γ1(α)⊆γ2(α	γ1(α)⊆γ2(α	PROPN
ejpam-5401	79	29	)	)	PUNCT
ejpam-5401	79	30	,	,	PUNCT
ejpam-5401	79	31	∀α∈fψ	∀α∈fψ	PROPN
ejpam-5401	79	32	.	.	PUNCT
ejpam-5401	80	1	we	we	PRON
ejpam-5401	80	2	write	write	VERB
ejpam-5401	80	3	(	(	PUNCT
ejpam-5401	80	4	γ1	γ1	PROPN
ejpam-5401	80	5	,	,	PUNCT
ejpam-5401	80	6	fψ	fψ	NOUN
ejpam-5401	80	7	)	)	PUNCT
ejpam-5401	80	8	∼	∼	NOUN
ejpam-5401	80	9	⊆	⊆	NUM
ejpam-5401	80	10	(	(	PUNCT
ejpam-5401	80	11	γ2	γ2	ADJ
ejpam-5401	80	12	,	,	PUNCT
ejpam-5401	80	13	hψ	hψ	NOUN
ejpam-5401	80	14	)	)	PUNCT
ejpam-5401	80	15	.	.	PUNCT
ejpam-5401	81	1	and	and	CCONJ
ejpam-5401	81	2	(	(	PUNCT
ejpam-5401	81	3	γ1	γ1	PROPN
ejpam-5401	81	4	,	,	PUNCT
ejpam-5401	81	5	fψ	fψ	PROPN
ejpam-5401	81	6	)	)	PUNCT
ejpam-5401	81	7	is	be	AUX
ejpam-5401	81	8	said	say	VERB
ejpam-5401	81	9	to	to	PART
ejpam-5401	81	10	be	be	AUX
ejpam-5401	81	11	a	a	DET
ejpam-5401	81	12	hypersoft	hypersoft	NOUN
ejpam-5401	81	13	superset	superset	NOUN
ejpam-5401	81	14	of	of	ADP
ejpam-5401	81	15	(	(	PUNCT
ejpam-5401	81	16	γ2	γ2	PROPN
ejpam-5401	81	17	,	,	PUNCT
ejpam-5401	81	18	hψ	hψ	NOUN
ejpam-5401	81	19	)	)	PUNCT
ejpam-5401	81	20	,	,	PUNCT
ejpam-5401	81	21	if	if	SCONJ
ejpam-5401	81	22	(	(	PUNCT
ejpam-5401	81	23	γ2	γ2	ADJ
ejpam-5401	81	24	,	,	PUNCT
ejpam-5401	81	25	hψ	hψ	NOUN
ejpam-5401	81	26	)	)	PUNCT
ejpam-5401	81	27	is	be	AUX
ejpam-5401	81	28	a	a	DET
ejpam-5401	81	29	hypersoft	hypersoft	NOUN
ejpam-5401	81	30	subset	subset	NOUN
ejpam-5401	81	31	of	of	ADP
ejpam-5401	81	32	(	(	PUNCT
ejpam-5401	81	33	γ1	γ1	PROPN
ejpam-5401	81	34	,	,	PUNCT
ejpam-5401	81	35	fψ	fψ	PROPN
ejpam-5401	81	36	)	)	PUNCT
ejpam-5401	81	37	.	.	PUNCT
ejpam-5401	82	1	we	we	PRON
ejpam-5401	82	2	write	write	VERB
ejpam-5401	82	3	it	it	PRON
ejpam-5401	82	4	as	as	ADP
ejpam-5401	82	5	(	(	PUNCT
ejpam-5401	82	6	γ1	γ1	PROPN
ejpam-5401	82	7	,	,	PUNCT
ejpam-5401	82	8	fψ	fψ	ADJ
ejpam-5401	82	9	)	)	PUNCT
ejpam-5401	82	10	∼	∼	NOUN
ejpam-5401	82	11	⊇	⊇	NOUN
ejpam-5401	82	12	(	(	PUNCT
ejpam-5401	82	13	γ2	γ2	PROPN
ejpam-5401	82	14	,	,	PUNCT
ejpam-5401	82	15	hψ	hψ	NOUN
ejpam-5401	82	16	)	)	PUNCT
ejpam-5401	82	17	.	.	PUNCT
ejpam-5401	83	1	definition	definition	NOUN
ejpam-5401	83	2	4	4	NUM
ejpam-5401	83	3	.	.	PUNCT
ejpam-5401	84	1	[	[	X
ejpam-5401	84	2	23	23	NUM
ejpam-5401	84	3	]	]	SYM
ejpam-5401	84	4	two	two	NUM
ejpam-5401	84	5	hypersoft	hypersoft	NOUN
ejpam-5401	84	6	sets	set	NOUN
ejpam-5401	84	7	(	(	PUNCT
ejpam-5401	84	8	γ1	γ1	NOUN
ejpam-5401	84	9	,	,	PUNCT
ejpam-5401	84	10	fψ	fψ	PROPN
ejpam-5401	84	11	)	)	PUNCT
ejpam-5401	84	12	and	and	CCONJ
ejpam-5401	84	13	(	(	PUNCT
ejpam-5401	84	14	γ2	γ2	PROPN
ejpam-5401	84	15	,	,	PUNCT
ejpam-5401	84	16	hψ	hψ	NOUN
ejpam-5401	84	17	)	)	PUNCT
ejpam-5401	84	18	over	over	ADP
ejpam-5401	84	19	a	a	DET
ejpam-5401	84	20	common	common	ADJ
ejpam-5401	84	21	universe	universe	NOUN
ejpam-5401	84	22	u	u	NOUN
ejpam-5401	84	23	are	be	AUX
ejpam-5401	84	24	said	say	VERB
ejpam-5401	84	25	to	to	PART
ejpam-5401	84	26	be	be	AUX
ejpam-5401	84	27	hypersoft	hypersoft	ADV
ejpam-5401	84	28	equal	equal	ADJ
ejpam-5401	84	29	if	if	SCONJ
ejpam-5401	84	30	(	(	PUNCT
ejpam-5401	84	31	γ1	γ1	NOUN
ejpam-5401	84	32	,	,	PUNCT
ejpam-5401	84	33	fψ	fψ	PROPN
ejpam-5401	84	34	)	)	PUNCT
ejpam-5401	84	35	is	be	AUX
ejpam-5401	84	36	a	a	DET
ejpam-5401	84	37	hypersoft	hypersoft	NOUN
ejpam-5401	84	38	subset	subset	NOUN
ejpam-5401	84	39	of	of	ADP
ejpam-5401	84	40	(	(	PUNCT
ejpam-5401	84	41	γ2	γ2	PROPN
ejpam-5401	84	42	,	,	PUNCT
ejpam-5401	84	43	hψ	hψ	NOUN
ejpam-5401	84	44	)	)	PUNCT
ejpam-5401	84	45	and	and	CCONJ
ejpam-5401	84	46	(	(	PUNCT
ejpam-5401	84	47	γ2	γ2	PROPN
ejpam-5401	84	48	,	,	PUNCT
ejpam-5401	84	49	hψ	hψ	NOUN
ejpam-5401	84	50	)	)	PUNCT
ejpam-5401	84	51	is	be	AUX
ejpam-5401	84	52	a	a	DET
ejpam-5401	84	53	hypersoft	hypersoft	NOUN
ejpam-5401	84	54	subset	subset	NOUN
ejpam-5401	84	55	of	of	ADP
ejpam-5401	84	56	(	(	PUNCT
ejpam-5401	84	57	γ1	γ1	PROPN
ejpam-5401	84	58	,	,	PUNCT
ejpam-5401	84	59	fψ	fψ	PROPN
ejpam-5401	84	60	)	)	PUNCT
ejpam-5401	84	61	.	.	PUNCT
ejpam-5401	85	1	definition	definition	NOUN
ejpam-5401	85	2	5	5	NUM
ejpam-5401	85	3	.	.	PUNCT
ejpam-5401	86	1	[	[	X
ejpam-5401	86	2	23	23	NUM
ejpam-5401	86	3	]	]	PUNCT
ejpam-5401	86	4	let	let	VERB
ejpam-5401	86	5	ψ=	ψ=	NOUN
ejpam-5401	86	6	{	{	PUNCT
ejpam-5401	86	7	r1	r1	PROPN
ejpam-5401	86	8	,	,	PUNCT
ejpam-5401	86	9	r2	r2	PROPN
ejpam-5401	86	10	,	,	PUNCT
ejpam-5401	86	11	.	.	PUNCT
ejpam-5401	86	12	.	.	PUNCT
ejpam-5401	87	1	.	.	PUNCT
ejpam-5401	88	1	,	,	PUNCT
ejpam-5401	88	2	rn	rn	AUX
ejpam-5401	88	3	}	}	PUNCT
ejpam-5401	88	4	be	be	AUX
ejpam-5401	88	5	a	a	DET
ejpam-5401	88	6	set	set	NOUN
ejpam-5401	88	7	of	of	ADP
ejpam-5401	88	8	parameters	parameter	NOUN
ejpam-5401	88	9	(	(	PUNCT
ejpam-5401	88	10	attributes	attribute	NOUN
ejpam-5401	88	11	)	)	PUNCT
ejpam-5401	88	12	.	.	PUNCT
ejpam-5401	89	1	the	the	PRON
ejpam-5401	89	2	not	not	PART
ejpam-5401	89	3	set	set	NOUN
ejpam-5401	89	4	of	of	ADP
ejpam-5401	89	5	ψ	ψ	PRON
ejpam-5401	89	6	denoted	denote	VERB
ejpam-5401	89	7	by	by	ADP
ejpam-5401	89	8	¬ψ	¬ψ	PROPN
ejpam-5401	89	9	is	be	AUX
ejpam-5401	89	10	defined	define	VERB
ejpam-5401	89	11	by	by	ADP
ejpam-5401	89	12	¬ψ=	¬ψ=	PROPN
ejpam-5401	89	13	{	{	PUNCT
ejpam-5401	89	14	¬r1,¬r2	¬r1,¬r2	PROPN
ejpam-5401	89	15	,	,	PUNCT
ejpam-5401	89	16	.	.	PUNCT
ejpam-5401	89	17	.	.	PUNCT
ejpam-5401	89	18	.	.	PUNCT
ejpam-5401	90	1	,	,	PUNCT
ejpam-5401	90	2	¬rn	¬rn	ADP
ejpam-5401	90	3	}	}	PUNCT
ejpam-5401	90	4	where	where	SCONJ
ejpam-5401	90	5	¬ri=	¬ri=	PROPN
ejpam-5401	90	6	notri	notri	NOUN
ejpam-5401	90	7	for	for	ADP
ejpam-5401	90	8	i∈{1	i∈{1	PROPN
ejpam-5401	90	9	,	,	PUNCT
ejpam-5401	90	10	2	2	NUM
ejpam-5401	90	11	,	,	PUNCT
ejpam-5401	90	12	.	.	PUNCT
ejpam-5401	90	13	.	.	PUNCT
ejpam-5401	91	1	.	.	PUNCT
ejpam-5401	92	1	,	,	PUNCT
ejpam-5401	93	1	n	n	CCONJ
ejpam-5401	93	2	}	}	PUNCT
ejpam-5401	93	3	.	.	PUNCT
ejpam-5401	94	1	definition	definition	NOUN
ejpam-5401	94	2	6	6	NUM
ejpam-5401	94	3	.	.	PUNCT
ejpam-5401	95	1	[	[	X
ejpam-5401	95	2	23	23	NUM
ejpam-5401	95	3	]	]	PUNCT
ejpam-5401	95	4	let	let	VERB
ejpam-5401	95	5	u	u	PRON
ejpam-5401	95	6	be	be	AUX
ejpam-5401	95	7	a	a	DET
ejpam-5401	95	8	universal	universal	ADJ
ejpam-5401	95	9	set	set	NOUN
ejpam-5401	95	10	.	.	PUNCT
ejpam-5401	96	1	the	the	DET
ejpam-5401	96	2	complement	complement	NOUN
ejpam-5401	96	3	of	of	ADP
ejpam-5401	96	4	a	a	DET
ejpam-5401	96	5	hypersoft	hypersoft	NOUN
ejpam-5401	96	6	set	set	NOUN
ejpam-5401	96	7	(	(	PUNCT
ejpam-5401	96	8	γ	γ	X
ejpam-5401	96	9	,	,	PUNCT
ejpam-5401	96	10	vψ	vψ	X
ejpam-5401	96	11	)	)	PUNCT
ejpam-5401	96	12	is	be	AUX
ejpam-5401	96	13	denoted	denote	VERB
ejpam-5401	96	14	by	by	ADP
ejpam-5401	96	15	(	(	PUNCT
ejpam-5401	96	16	γ	γ	PROPN
ejpam-5401	96	17	,	,	PUNCT
ejpam-5401	96	18	vψ	vψ	NOUN
ejpam-5401	96	19	)	)	PUNCT
ejpam-5401	96	20	c	c	NOUN
ejpam-5401	96	21	and	and	CCONJ
ejpam-5401	96	22	is	be	AUX
ejpam-5401	96	23	defined	define	VERB
ejpam-5401	96	24	by	by	ADP
ejpam-5401	96	25	(	(	PUNCT
ejpam-5401	96	26	γ	γ	PROPN
ejpam-5401	96	27	,	,	PUNCT
ejpam-5401	96	28	vψ	vψ	NOUN
ejpam-5401	96	29	)	)	PUNCT
ejpam-5401	96	30	c	c	NOUN
ejpam-5401	97	1	=	=	SYM
ejpam-5401	97	2	(	(	PUNCT
ejpam-5401	97	3	γc	γc	PROPN
ejpam-5401	97	4	,	,	PUNCT
ejpam-5401	97	5	vψ	vψ	ADP
ejpam-5401	97	6	)	)	PUNCT
ejpam-5401	97	7	where	where	SCONJ
ejpam-5401	97	8	γc	γc	NOUN
ejpam-5401	97	9	:	:	PUNCT
ejpam-5401	97	10	vψ	vψ	ADP
ejpam-5401	97	11	→	→	SYM
ejpam-5401	97	12	p	p	X
ejpam-5401	97	13	(	(	PUNCT
ejpam-5401	97	14	u	u	NOUN
ejpam-5401	97	15	)	)	PUNCT
ejpam-5401	97	16	is	be	AUX
ejpam-5401	97	17	a	a	DET
ejpam-5401	97	18	mapping	mapping	NOUN
ejpam-5401	97	19	given	give	VERB
ejpam-5401	97	20	by	by	ADP
ejpam-5401	97	21	γc(α	γc(α	NOUN
ejpam-5401	97	22	)	)	PUNCT
ejpam-5401	97	23	=	=	SYM
ejpam-5401	97	24	u	u	NOUN
ejpam-5401	97	25	\	\	PROPN
ejpam-5401	97	26	γ(α	γ(α	PROPN
ejpam-5401	97	27	)	)	PUNCT
ejpam-5401	97	28	,	,	PUNCT
ejpam-5401	97	29	for	for	ADP
ejpam-5401	97	30	all	all	DET
ejpam-5401	97	31	α	α	NOUN
ejpam-5401	97	32	∈	∈	NOUN
ejpam-5401	97	33	vψ	vψ	PROPN
ejpam-5401	97	34	.	.	NOUN
ejpam-5401	97	35	definition	definition	NOUN
ejpam-5401	97	36	7	7	NUM
ejpam-5401	97	37	.	.	PUNCT
ejpam-5401	98	1	[	[	X
ejpam-5401	98	2	20	20	NUM
ejpam-5401	98	3	]	]	PUNCT
ejpam-5401	98	4	let	let	VERB
ejpam-5401	98	5	u	u	PRON
ejpam-5401	98	6	be	be	AUX
ejpam-5401	98	7	a	a	DET
ejpam-5401	98	8	universal	universal	ADJ
ejpam-5401	98	9	set	set	NOUN
ejpam-5401	98	10	.	.	PUNCT
ejpam-5401	99	1	a	a	DET
ejpam-5401	99	2	hypersoft	hypersoft	NOUN
ejpam-5401	99	3	set	set	NOUN
ejpam-5401	99	4	(	(	PUNCT
ejpam-5401	99	5	γ	γ	X
ejpam-5401	99	6	,	,	PUNCT
ejpam-5401	99	7	vψ	vψ	NOUN
ejpam-5401	99	8	)	)	PUNCT
ejpam-5401	99	9	over	over	ADP
ejpam-5401	99	10	u	u	NOUN
ejpam-5401	99	11	is	be	AUX
ejpam-5401	99	12	said	say	VERB
ejpam-5401	99	13	to	to	PART
ejpam-5401	99	14	be	be	AUX
ejpam-5401	99	15	a	a	DET
ejpam-5401	99	16	null	null	ADJ
ejpam-5401	99	17	hypersoft	hypersoft	NOUN
ejpam-5401	99	18	set	set	VERB
ejpam-5401	99	19	and	and	CCONJ
ejpam-5401	99	20	denoted	denote	VERB
ejpam-5401	99	21	by	by	ADP
ejpam-5401	99	22	(	(	PUNCT
ejpam-5401	99	23	ϕ	ϕ	NOUN
ejpam-5401	99	24	,	,	PUNCT
ejpam-5401	99	25	vψ	vψ	PROPN
ejpam-5401	99	26	)	)	PUNCT
ejpam-5401	99	27	,	,	PUNCT
ejpam-5401	99	28	if	if	SCONJ
ejpam-5401	99	29	for	for	ADP
ejpam-5401	99	30	all	all	DET
ejpam-5401	99	31	α∈vψ	α∈vψ	NOUN
ejpam-5401	99	32	,	,	PUNCT
ejpam-5401	99	33	γ(α	γ(α	NOUN
ejpam-5401	99	34	)	)	PUNCT
ejpam-5401	100	1	=	=	NOUN
ejpam-5401	100	2	ϕ.	ϕ.	ADJ
ejpam-5401	100	3	definition	definition	NOUN
ejpam-5401	100	4	8	8	NUM
ejpam-5401	100	5	.	.	PUNCT
ejpam-5401	101	1	[	[	X
ejpam-5401	101	2	20	20	NUM
ejpam-5401	101	3	]	]	PUNCT
ejpam-5401	101	4	let	let	VERB
ejpam-5401	101	5	u	u	PRON
ejpam-5401	101	6	be	be	AUX
ejpam-5401	101	7	a	a	DET
ejpam-5401	101	8	universal	universal	ADJ
ejpam-5401	101	9	set	set	NOUN
ejpam-5401	101	10	.	.	PUNCT
ejpam-5401	102	1	a	a	DET
ejpam-5401	102	2	hypersoft	hypersoft	NOUN
ejpam-5401	102	3	set	set	NOUN
ejpam-5401	102	4	(	(	PUNCT
ejpam-5401	102	5	γ	γ	X
ejpam-5401	102	6	,	,	PUNCT
ejpam-5401	102	7	vψ	vψ	NOUN
ejpam-5401	102	8	)	)	PUNCT
ejpam-5401	102	9	over	over	ADP
ejpam-5401	102	10	u	u	NOUN
ejpam-5401	102	11	is	be	AUX
ejpam-5401	102	12	said	say	VERB
ejpam-5401	102	13	to	to	PART
ejpam-5401	102	14	be	be	AUX
ejpam-5401	102	15	a	a	DET
ejpam-5401	102	16	whole	whole	ADJ
ejpam-5401	102	17	hypersoft	hypersoft	NOUN
ejpam-5401	102	18	set	set	VERB
ejpam-5401	102	19	and	and	CCONJ
ejpam-5401	102	20	denoted	denote	VERB
ejpam-5401	102	21	by	by	ADP
ejpam-5401	102	22	(	(	PUNCT
ejpam-5401	102	23	u	u	NOUN
ejpam-5401	102	24	,	,	PUNCT
ejpam-5401	102	25	vψ	vψ	PROPN
ejpam-5401	102	26	)	)	PUNCT
ejpam-5401	102	27	,	,	PUNCT
ejpam-5401	102	28	if	if	SCONJ
ejpam-5401	102	29	for	for	ADP
ejpam-5401	102	30	all	all	DET
ejpam-5401	102	31	α∈vψ	α∈vψ	NOUN
ejpam-5401	102	32	,	,	PUNCT
ejpam-5401	102	33	γ(α	γ(α	NOUN
ejpam-5401	102	34	)	)	PUNCT
ejpam-5401	103	1	=	=	NOUN
ejpam-5401	103	2	u	u	NOUN
ejpam-5401	103	3	.	.	PUNCT
ejpam-5401	104	1	definition	definition	NOUN
ejpam-5401	104	2	9	9	NUM
ejpam-5401	104	3	.	.	PUNCT
ejpam-5401	105	1	[	[	X
ejpam-5401	105	2	20	20	NUM
ejpam-5401	105	3	]	]	SYM
ejpam-5401	105	4	difference	difference	NOUN
ejpam-5401	105	5	of	of	ADP
ejpam-5401	105	6	two	two	NUM
ejpam-5401	105	7	hypersoft	hypersoft	NOUN
ejpam-5401	105	8	sets	set	NOUN
ejpam-5401	105	9	(	(	PUNCT
ejpam-5401	105	10	γ1	γ1	NOUN
ejpam-5401	105	11	,	,	PUNCT
ejpam-5401	105	12	fψ	fψ	PROPN
ejpam-5401	105	13	)	)	PUNCT
ejpam-5401	105	14	and	and	CCONJ
ejpam-5401	105	15	(	(	PUNCT
ejpam-5401	105	16	γ2	γ2	PROPN
ejpam-5401	105	17	,	,	PUNCT
ejpam-5401	105	18	hψ	hψ	NOUN
ejpam-5401	105	19	)	)	PUNCT
ejpam-5401	105	20	over	over	ADP
ejpam-5401	105	21	a	a	DET
ejpam-5401	105	22	universe	universe	NOUN
ejpam-5401	105	23	u	u	NOUN
ejpam-5401	105	24	is	be	AUX
ejpam-5401	105	25	a	a	DET
ejpam-5401	105	26	hypersoft	hypersoft	NOUN
ejpam-5401	105	27	set	set	NOUN
ejpam-5401	105	28	(	(	PUNCT
ejpam-5401	105	29	γ	γ	X
ejpam-5401	105	30	,	,	PUNCT
ejpam-5401	105	31	vψ	vψ	ADP
ejpam-5401	105	32	)	)	PUNCT
ejpam-5401	105	33	where	where	SCONJ
ejpam-5401	105	34	vψ	vψ	ADP
ejpam-5401	105	35	=	=	PUNCT
ejpam-5401	105	36	fψ∩hψ	fψ∩hψ	PROPN
ejpam-5401	105	37	and	and	CCONJ
ejpam-5401	105	38	for	for	ADP
ejpam-5401	105	39	all	all	PRON
ejpam-5401	105	40	α	α	NOUN
ejpam-5401	105	41	∈	∈	ADJ
ejpam-5401	105	42	vψ	vψ	PROPN
ejpam-5401	105	43	,	,	PUNCT
ejpam-5401	105	44	γ(α	γ(α	PROPN
ejpam-5401	105	45	)	)	PUNCT
ejpam-5401	105	46	=	=	PUNCT
ejpam-5401	106	1	γ1(α)\γ2(α	γ1(α)\γ2(α	NOUN
ejpam-5401	106	2	)	)	PUNCT
ejpam-5401	106	3	.	.	PUNCT
ejpam-5401	107	1	we	we	PRON
ejpam-5401	107	2	write	write	VERB
ejpam-5401	107	3	(	(	PUNCT
ejpam-5401	107	4	γ1	γ1	PROPN
ejpam-5401	107	5	,	,	PUNCT
ejpam-5401	107	6	fψ	fψ	ADJ
ejpam-5401	107	7	)	)	PUNCT
ejpam-5401	107	8	\	\	PUNCT
ejpam-5401	108	1	(	(	PUNCT
ejpam-5401	108	2	γ2	γ2	PROPN
ejpam-5401	108	3	,	,	PUNCT
ejpam-5401	108	4	hψ	hψ	NOUN
ejpam-5401	108	5	)	)	PUNCT
ejpam-5401	108	6	=	=	SYM
ejpam-5401	108	7	(	(	PUNCT
ejpam-5401	108	8	γ	γ	X
ejpam-5401	108	9	,	,	PUNCT
ejpam-5401	108	10	vψ	vψ	ADJ
ejpam-5401	108	11	)	)	PUNCT
ejpam-5401	108	12	.	.	PUNCT
ejpam-5401	109	1	n.	n.	PROPN
ejpam-5401	109	2	k.	k.	PROPN
ejpam-5401	109	3	ahmed	ahmed	PROPN
ejpam-5401	109	4	,	,	PUNCT
ejpam-5401	109	5	o.	o.	PROPN
ejpam-5401	109	6	t.	t.	PROPN
ejpam-5401	109	7	pirbal	pirbal	PROPN
ejpam-5401	109	8	/	/	SYM
ejpam-5401	109	9	eur	eur	PROPN
ejpam-5401	109	10	.	.	PUNCT
ejpam-5401	110	1	j.	j.	PROPN
ejpam-5401	110	2	pure	pure	PROPN
ejpam-5401	110	3	appl	appl	PROPN
ejpam-5401	110	4	.	.	PROPN
ejpam-5401	110	5	math	math	PROPN
ejpam-5401	110	6	,	,	PUNCT
ejpam-5401	110	7	17	17	NUM
ejpam-5401	110	8	(	(	PUNCT
ejpam-5401	110	9	4	4	NUM
ejpam-5401	110	10	)	)	PUNCT
ejpam-5401	110	11	(	(	PUNCT
ejpam-5401	110	12	2024	2024	NUM
ejpam-5401	110	13	)	)	PUNCT
ejpam-5401	110	14	,	,	PUNCT
ejpam-5401	110	15	3043	3043	NUM
ejpam-5401	110	16	-	-	SYM
ejpam-5401	110	17	3060	3060	NUM
ejpam-5401	110	18	3046	3046	NUM
ejpam-5401	110	19	definition	definition	NOUN
ejpam-5401	110	20	10	10	NUM
ejpam-5401	110	21	.	.	PUNCT
ejpam-5401	111	1	[	[	X
ejpam-5401	111	2	20	20	NUM
ejpam-5401	111	3	]	]	X
ejpam-5401	111	4	union	union	NOUN
ejpam-5401	111	5	of	of	ADP
ejpam-5401	111	6	two	two	NUM
ejpam-5401	111	7	hypersoft	hypersoft	NOUN
ejpam-5401	111	8	sets	set	NOUN
ejpam-5401	111	9	(	(	PUNCT
ejpam-5401	111	10	γ1	γ1	NOUN
ejpam-5401	111	11	,	,	PUNCT
ejpam-5401	111	12	fψ	fψ	PROPN
ejpam-5401	111	13	)	)	PUNCT
ejpam-5401	111	14	and	and	CCONJ
ejpam-5401	111	15	(	(	PUNCT
ejpam-5401	111	16	γ2	γ2	PROPN
ejpam-5401	111	17	,	,	PUNCT
ejpam-5401	111	18	hψ	hψ	NOUN
ejpam-5401	111	19	)	)	PUNCT
ejpam-5401	111	20	over	over	ADP
ejpam-5401	111	21	a	a	DET
ejpam-5401	111	22	universe	universe	NOUN
ejpam-5401	111	23	u	u	NOUN
ejpam-5401	111	24	is	be	AUX
ejpam-5401	111	25	a	a	DET
ejpam-5401	111	26	hypersoft	hypersoft	NOUN
ejpam-5401	111	27	set	set	NOUN
ejpam-5401	111	28	(	(	PUNCT
ejpam-5401	111	29	γ	γ	X
ejpam-5401	111	30	,	,	PUNCT
ejpam-5401	111	31	vψ	vψ	NOUN
ejpam-5401	111	32	)	)	PUNCT
ejpam-5401	111	33	where	where	SCONJ
ejpam-5401	111	34	vψ	vψ	ADP
ejpam-5401	111	35	=	=	NOUN
ejpam-5401	111	36	fψ∪hψ	fψ∪hψ	PROPN
ejpam-5401	111	37	and	and	CCONJ
ejpam-5401	111	38	for	for	ADP
ejpam-5401	111	39	all	all	DET
ejpam-5401	111	40	α∈vψ	α∈vψ	NOUN
ejpam-5401	111	41	,	,	PUNCT
ejpam-5401	111	42	γ(α	γ(α	NOUN
ejpam-5401	111	43	)	)	PUNCT
ejpam-5401	111	44	=	=	SYM
ejpam-5401	111	45	γ1(α)∪γ2(α	γ1(α)∪γ2(α	PROPN
ejpam-5401	111	46	)	)	PUNCT
ejpam-5401	111	47	and	and	CCONJ
ejpam-5401	111	48	will	will	AUX
ejpam-5401	111	49	be	be	AUX
ejpam-5401	111	50	written	write	VERB
ejpam-5401	111	51	as	as	ADP
ejpam-5401	111	52	(	(	PUNCT
ejpam-5401	111	53	γ1	γ1	PROPN
ejpam-5401	111	54	,	,	PUNCT
ejpam-5401	111	55	fψ	fψ	NOUN
ejpam-5401	111	56	)	)	PUNCT
ejpam-5401	111	57	∼	∼	NOUN
ejpam-5401	111	58	⊔	⊔	PROPN
ejpam-5401	111	59	(	(	PUNCT
ejpam-5401	111	60	γ2	γ2	ADJ
ejpam-5401	111	61	,	,	PUNCT
ejpam-5401	111	62	hψ)=	hψ)=	X
ejpam-5401	111	63	(	(	PUNCT
ejpam-5401	111	64	γ	γ	X
ejpam-5401	111	65	,	,	PUNCT
ejpam-5401	111	66	vψ	vψ	NOUN
ejpam-5401	111	67	)	)	PUNCT
ejpam-5401	111	68	.	.	PUNCT
ejpam-5401	112	1	definition	definition	NOUN
ejpam-5401	112	2	11	11	NUM
ejpam-5401	112	3	.	.	PUNCT
ejpam-5401	113	1	[	[	X
ejpam-5401	113	2	20	20	NUM
ejpam-5401	113	3	]	]	X
ejpam-5401	113	4	intersection	intersection	NOUN
ejpam-5401	113	5	of	of	ADP
ejpam-5401	113	6	two	two	NUM
ejpam-5401	113	7	hypersoft	hypersoft	NOUN
ejpam-5401	113	8	sets	set	NOUN
ejpam-5401	113	9	(	(	PUNCT
ejpam-5401	113	10	γ1	γ1	NOUN
ejpam-5401	113	11	,	,	PUNCT
ejpam-5401	113	12	fψ	fψ	PROPN
ejpam-5401	113	13	)	)	PUNCT
ejpam-5401	113	14	and	and	CCONJ
ejpam-5401	113	15	(	(	PUNCT
ejpam-5401	113	16	γ2	γ2	PROPN
ejpam-5401	113	17	,	,	PUNCT
ejpam-5401	113	18	hψ	hψ	NOUN
ejpam-5401	113	19	)	)	PUNCT
ejpam-5401	113	20	over	over	ADP
ejpam-5401	113	21	a	a	DET
ejpam-5401	113	22	universe	universe	NOUN
ejpam-5401	113	23	u	u	NOUN
ejpam-5401	113	24	,	,	PUNCT
ejpam-5401	113	25	is	be	AUX
ejpam-5401	113	26	a	a	DET
ejpam-5401	113	27	hypersoft	hypersoft	NOUN
ejpam-5401	113	28	set	set	NOUN
ejpam-5401	113	29	(	(	PUNCT
ejpam-5401	113	30	γ	γ	X
ejpam-5401	113	31	,	,	PUNCT
ejpam-5401	113	32	vψ	vψ	ADP
ejpam-5401	113	33	)	)	PUNCT
ejpam-5401	113	34	where	where	SCONJ
ejpam-5401	113	35	vψ	vψ	ADV
ejpam-5401	113	36	=	=	SYM
ejpam-5401	113	37	fψ	fψ	PROPN
ejpam-5401	113	38	∩	∩	ADJ
ejpam-5401	113	39	hψ	hψ	X
ejpam-5401	113	40	and	and	CCONJ
ejpam-5401	113	41	for	for	ADP
ejpam-5401	113	42	all	all	PRON
ejpam-5401	113	43	α	α	NOUN
ejpam-5401	113	44	∈	∈	ADJ
ejpam-5401	113	45	vψ	vψ	PROPN
ejpam-5401	113	46	,	,	PUNCT
ejpam-5401	113	47	γ(α	γ(α	PROPN
ejpam-5401	113	48	)	)	PUNCT
ejpam-5401	113	49	=	=	SYM
ejpam-5401	113	50	γ1(α	γ1(α	PROPN
ejpam-5401	113	51	)	)	PUNCT
ejpam-5401	113	52	∩	∩	NOUN
ejpam-5401	113	53	γ2(α	γ2(α	PART
ejpam-5401	113	54	)	)	PUNCT
ejpam-5401	113	55	and	and	CCONJ
ejpam-5401	113	56	will	will	AUX
ejpam-5401	113	57	be	be	AUX
ejpam-5401	113	58	written	write	VERB
ejpam-5401	113	59	as	as	ADP
ejpam-5401	113	60	(	(	PUNCT
ejpam-5401	113	61	γ1	γ1	PROPN
ejpam-5401	113	62	,	,	PUNCT
ejpam-5401	113	63	fψ	fψ	NOUN
ejpam-5401	113	64	)	)	PUNCT
ejpam-5401	113	65	∼	∼	NOUN
ejpam-5401	113	66	⊓	⊓	PROPN
ejpam-5401	113	67	(	(	PUNCT
ejpam-5401	113	68	γ2	γ2	PROPN
ejpam-5401	113	69	,	,	PUNCT
ejpam-5401	113	70	hψ	hψ	NOUN
ejpam-5401	113	71	)	)	PUNCT
ejpam-5401	113	72	=	=	SYM
ejpam-5401	113	73	(	(	PUNCT
ejpam-5401	113	74	γ	γ	X
ejpam-5401	113	75	,	,	PUNCT
ejpam-5401	113	76	vψ	vψ	PROPN
ejpam-5401	113	77	)	)	PUNCT
ejpam-5401	113	78	.	.	PUNCT
ejpam-5401	114	1	3	3	X
ejpam-5401	114	2	.	.	X
ejpam-5401	114	3	set	set	VERB
ejpam-5401	114	4	-	-	PUNCT
ejpam-5401	114	5	theoretic	theoretic	NOUN
ejpam-5401	114	6	operations	operation	NOUN
ejpam-5401	114	7	on	on	ADP
ejpam-5401	114	8	plithogenic	plithogenic	ADJ
ejpam-5401	114	9	crisp	crisp	ADJ
ejpam-5401	114	10	hypersoft	hypersoft	NOUN
ejpam-5401	114	11	sets	set	NOUN
ejpam-5401	114	12	and	and	CCONJ
ejpam-5401	114	13	their	their	PRON
ejpam-5401	114	14	properties	property	NOUN
ejpam-5401	114	15	the	the	DET
ejpam-5401	114	16	results	result	NOUN
ejpam-5401	114	17	of	of	ADP
ejpam-5401	114	18	this	this	DET
ejpam-5401	114	19	section	section	NOUN
ejpam-5401	114	20	is	be	AUX
ejpam-5401	114	21	appear	appear	VERB
ejpam-5401	114	22	in	in	ADP
ejpam-5401	114	23	[	[	X
ejpam-5401	114	24	1	1	NUM
ejpam-5401	114	25	]	]	PUNCT
ejpam-5401	114	26	,	,	PUNCT
ejpam-5401	114	27	but	but	CCONJ
ejpam-5401	114	28	we	we	PRON
ejpam-5401	114	29	have	have	AUX
ejpam-5401	114	30	redefined	redefine	VERB
ejpam-5401	114	31	.	.	PUNCT
ejpam-5401	115	1	definition	definition	NOUN
ejpam-5401	115	2	12	12	NUM
ejpam-5401	115	3	.	.	PUNCT
ejpam-5401	116	1	let	let	VERB
ejpam-5401	116	2	up	up	ADP
ejpam-5401	116	3	be	be	AUX
ejpam-5401	116	4	a	a	DET
ejpam-5401	116	5	universal	universal	ADJ
ejpam-5401	116	6	set	set	NOUN
ejpam-5401	116	7	and	and	CCONJ
ejpam-5401	116	8	ψ=	ψ=	NOUN
ejpam-5401	116	9	{	{	PUNCT
ejpam-5401	116	10	r1	r1	NOUN
ejpam-5401	116	11	,	,	PUNCT
ejpam-5401	116	12	r2	r2	PROPN
ejpam-5401	116	13	,	,	PUNCT
ejpam-5401	116	14	.	.	PUNCT
ejpam-5401	116	15	.	.	PUNCT
ejpam-5401	117	1	.	.	PUNCT
ejpam-5401	118	1	,	,	PUNCT
ejpam-5401	118	2	rn	rn	AUX
ejpam-5401	118	3	}	}	PUNCT
ejpam-5401	118	4	be	be	AUX
ejpam-5401	118	5	a	a	DET
ejpam-5401	118	6	set	set	NOUN
ejpam-5401	118	7	of	of	ADP
ejpam-5401	118	8	n	n	CCONJ
ejpam-5401	118	9	-	-	PUNCT
ejpam-5401	118	10	distinct	distinct	ADJ
ejpam-5401	118	11	attributes	attribute	NOUN
ejpam-5401	118	12	with	with	ADP
ejpam-5401	118	13	attribute	attribute	NOUN
ejpam-5401	118	14	value	value	NOUN
ejpam-5401	118	15	sets	set	NOUN
ejpam-5401	118	16	respectively	respectively	ADV
ejpam-5401	118	17	as	as	ADP
ejpam-5401	118	18	e1	e1	NOUN
ejpam-5401	118	19	,	,	PUNCT
ejpam-5401	118	20	e2	e2	PROPN
ejpam-5401	118	21	,	,	PUNCT
ejpam-5401	118	22	.	.	PUNCT
ejpam-5401	118	23	.	.	PUNCT
ejpam-5401	119	1	.	.	PUNCT
ejpam-5401	120	1	,	,	PUNCT
ejpam-5401	120	2	en	en	X
ejpam-5401	120	3	,	,	PUNCT
ejpam-5401	120	4	where	where	SCONJ
ejpam-5401	120	5	ei∩ej=ϕ	ei∩ej=ϕ	VERB
ejpam-5401	120	6	for	for	ADP
ejpam-5401	120	7	i̸=j	i̸=j	PROPN
ejpam-5401	120	8	and	and	CCONJ
ejpam-5401	120	9	i	i	PROPN
ejpam-5401	120	10	,	,	PUNCT
ejpam-5401	120	11	j∈{1	j∈{1	PROPN
ejpam-5401	120	12	,	,	PUNCT
ejpam-5401	120	13	2	2	NUM
ejpam-5401	120	14	,	,	PUNCT
ejpam-5401	120	15	.	.	PUNCT
ejpam-5401	120	16	.	.	PUNCT
ejpam-5401	121	1	.	.	PUNCT
ejpam-5401	122	1	,	,	PUNCT
ejpam-5401	123	1	n	n	CCONJ
ejpam-5401	123	2	}	}	PUNCT
ejpam-5401	123	3	.	.	PUNCT
ejpam-5401	124	1	also	also	ADV
ejpam-5401	124	2	,	,	PUNCT
ejpam-5401	124	3	let	let	VERB
ejpam-5401	124	4	di	di	PART
ejpam-5401	124	5	be	be	AUX
ejpam-5401	124	6	the	the	DET
ejpam-5401	124	7	nonempty	nonempty	ADJ
ejpam-5401	124	8	subset	subset	NOUN
ejpam-5401	124	9	of	of	ADP
ejpam-5401	124	10	ei	ei	NOUN
ejpam-5401	124	11	for	for	ADP
ejpam-5401	124	12	each	each	DET
ejpam-5401	124	13	i∈{1	i∈{1	PROPN
ejpam-5401	124	14	,	,	PUNCT
ejpam-5401	124	15	2	2	NUM
ejpam-5401	124	16	,	,	PUNCT
ejpam-5401	124	17	.	.	PUNCT
ejpam-5401	124	18	.	.	PUNCT
ejpam-5401	125	1	.	.	PUNCT
ejpam-5401	126	1	,	,	PUNCT
ejpam-5401	126	2	n	n	CCONJ
ejpam-5401	126	3	}	}	PUNCT
ejpam-5401	126	4	and	and	CCONJ
ejpam-5401	126	5	vψ	vψ	ADP
ejpam-5401	126	6	=	=	SYM
ejpam-5401	126	7	d1×d2×	d1×d2×	X
ejpam-5401	126	8	·	·	PUNCT
ejpam-5401	126	9	·	·	PUNCT
ejpam-5401	126	10	·	·	PUNCT
ejpam-5401	126	11	×dn	×dn	PROPN
ejpam-5401	126	12	.	.	PUNCT
ejpam-5401	127	1	the	the	DET
ejpam-5401	127	2	triple	triple	ADJ
ejpam-5401	127	3	(	(	PUNCT
ejpam-5401	127	4	γ	γ	X
ejpam-5401	127	5	,	,	PUNCT
ejpam-5401	127	6	c	c	NOUN
ejpam-5401	127	7	,	,	PUNCT
ejpam-5401	127	8	v	v	X
ejpam-5401	127	9	ψ)pc	ψ)pc	PROPN
ejpam-5401	127	10	is	be	AUX
ejpam-5401	127	11	called	call	VERB
ejpam-5401	127	12	a	a	DET
ejpam-5401	127	13	plithogenic	plithogenic	ADJ
ejpam-5401	127	14	crisp	crisp	ADJ
ejpam-5401	127	15	hypersoft	hypersoft	NOUN
ejpam-5401	127	16	(	(	PUNCT
ejpam-5401	127	17	in	in	ADP
ejpam-5401	127	18	short	short	ADJ
ejpam-5401	127	19	,	,	PUNCT
ejpam-5401	127	20	pchs	pchs	ADJ
ejpam-5401	127	21	)	)	PUNCT
ejpam-5401	127	22	set	set	VERB
ejpam-5401	127	23	where	where	SCONJ
ejpam-5401	127	24	γ	γ	NOUN
ejpam-5401	127	25	:	:	PUNCT
ejpam-5401	127	26	vψ→p	vψ→p	NOUN
ejpam-5401	127	27	(	(	PUNCT
ejpam-5401	127	28	up	up	ADP
ejpam-5401	127	29	)	)	PUNCT
ejpam-5401	127	30	and	and	CCONJ
ejpam-5401	127	31	c	c	NOUN
ejpam-5401	127	32	:	:	PUNCT
ejpam-5401	127	33	p	p	X
ejpam-5401	127	34	(	(	PUNCT
ejpam-5401	127	35	up	up	ADV
ejpam-5401	127	36	)	)	PUNCT
ejpam-5401	127	37	×di	×di	PROPN
ejpam-5401	127	38	→	→	SYM
ejpam-5401	127	39	{	{	PUNCT
ejpam-5401	127	40	0	0	NUM
ejpam-5401	127	41	,	,	PUNCT
ejpam-5401	127	42	1	1	NUM
ejpam-5401	127	43	}	}	PUNCT
ejpam-5401	127	44	,	,	PUNCT
ejpam-5401	127	45	for	for	ADP
ejpam-5401	127	46	all	all	DET
ejpam-5401	127	47	x	x	SYM
ejpam-5401	127	48	∈	∈	PROPN
ejpam-5401	127	49	p	p	X
ejpam-5401	127	50	(	(	PUNCT
ejpam-5401	127	51	up	up	ADP
ejpam-5401	127	52	)	)	PUNCT
ejpam-5401	127	53	,	,	PUNCT
ejpam-5401	127	54	for	for	ADP
ejpam-5401	127	55	each	each	DET
ejpam-5401	127	56	i∈{1	i∈{1	PROPN
ejpam-5401	127	57	,	,	PUNCT
ejpam-5401	127	58	2	2	NUM
ejpam-5401	127	59	,	,	PUNCT
ejpam-5401	127	60	.	.	PUNCT
ejpam-5401	127	61	.	.	PUNCT
ejpam-5401	128	1	.	.	PUNCT
ejpam-5401	129	1	,	,	PUNCT
ejpam-5401	130	1	n	n	CCONJ
ejpam-5401	130	2	}	}	PUNCT
ejpam-5401	130	3	.	.	PUNCT
ejpam-5401	131	1	that	that	PRON
ejpam-5401	131	2	is	is	ADV
ejpam-5401	131	3	,	,	PUNCT
ejpam-5401	131	4	(	(	PUNCT
ejpam-5401	131	5	γ	γ	X
ejpam-5401	131	6	,	,	PUNCT
ejpam-5401	131	7	c	c	NOUN
ejpam-5401	131	8	,	,	PUNCT
ejpam-5401	131	9	vψ)pc	vψ)pc	X
ejpam-5401	131	10	=	=	PUNCT
ejpam-5401	132	1	{	{	PUNCT
ejpam-5401	132	2	<	<	X
ejpam-5401	132	3	(	(	PUNCT
ejpam-5401	132	4	β	β	NOUN
ejpam-5401	132	5	)	)	PUNCT
ejpam-5401	132	6	,	,	PUNCT
ejpam-5401	132	7	{	{	PUNCT
ejpam-5401	132	8	x	x	X
ejpam-5401	132	9	(	(	PUNCT
ejpam-5401	132	10	c	c	NOUN
ejpam-5401	132	11	(	(	PUNCT
ejpam-5401	132	12	x	x	NOUN
ejpam-5401	132	13	,	,	PUNCT
ejpam-5401	132	14	di	di	NOUN
ejpam-5401	132	15	)	)	PUNCT
ejpam-5401	132	16	)	)	PUNCT
ejpam-5401	132	17	}	}	PUNCT
ejpam-5401	132	18	;	;	PUNCT
ejpam-5401	132	19	β	β	X
ejpam-5401	132	20	∈	∈	NOUN
ejpam-5401	132	21	vψ	vψ	X
ejpam-5401	132	22	and	and	CCONJ
ejpam-5401	132	23	x	x	PROPN
ejpam-5401	132	24	∈	∈	PROPN
ejpam-5401	132	25	γ(β	γ(β	PROPN
ejpam-5401	132	26	)	)	PUNCT
ejpam-5401	132	27	}	}	PUNCT
ejpam-5401	132	28	>	>	PUNCT
ejpam-5401	132	29	}	}	PUNCT
ejpam-5401	132	30	.	.	PUNCT
ejpam-5401	133	1	note	note	VERB
ejpam-5401	133	2	that	that	SCONJ
ejpam-5401	133	3	for	for	ADP
ejpam-5401	133	4	x	x	PROPN
ejpam-5401	133	5	/∈	/∈	PUNCT
ejpam-5401	133	6	γ(β	γ(β	PROPN
ejpam-5401	133	7	)	)	PUNCT
ejpam-5401	133	8	,	,	PUNCT
ejpam-5401	133	9	c(x	c(x	NOUN
ejpam-5401	133	10	,	,	PUNCT
ejpam-5401	133	11	di	di	NOUN
ejpam-5401	133	12	)	)	PUNCT
ejpam-5401	133	13	=	=	SYM
ejpam-5401	133	14	0	0	NUM
ejpam-5401	133	15	for	for	ADP
ejpam-5401	133	16	each	each	DET
ejpam-5401	133	17	i	i	PRON
ejpam-5401	133	18	∈	∈	PROPN
ejpam-5401	133	19	{	{	PUNCT
ejpam-5401	133	20	1	1	NUM
ejpam-5401	133	21	,	,	PUNCT
ejpam-5401	133	22	2	2	NUM
ejpam-5401	133	23	,	,	PUNCT
ejpam-5401	133	24	...	...	PUNCT
ejpam-5401	133	25	,	,	PUNCT
ejpam-5401	133	26	n	n	CCONJ
ejpam-5401	133	27	}	}	PUNCT
ejpam-5401	133	28	.	.	PUNCT
ejpam-5401	134	1	the	the	DET
ejpam-5401	134	2	set	set	NOUN
ejpam-5401	134	3	of	of	ADP
ejpam-5401	134	4	all	all	DET
ejpam-5401	134	5	the	the	DET
ejpam-5401	134	6	pchs	pch	NOUN
ejpam-5401	134	7	sets	set	VERB
ejpam-5401	134	8	over	over	ADP
ejpam-5401	134	9	up	up	NOUN
ejpam-5401	134	10	will	will	AUX
ejpam-5401	134	11	be	be	AUX
ejpam-5401	134	12	denoted	denote	VERB
ejpam-5401	134	13	as	as	ADP
ejpam-5401	134	14	ppc(up	ppc(up	NOUN
ejpam-5401	134	15	)	)	PUNCT
ejpam-5401	134	16	.	.	PUNCT
ejpam-5401	135	1	definition	definition	NOUN
ejpam-5401	135	2	13	13	NUM
ejpam-5401	135	3	.	.	PUNCT
ejpam-5401	136	1	a	a	DET
ejpam-5401	136	2	pchs	pch	NOUN
ejpam-5401	136	3	set	set	NOUN
ejpam-5401	136	4	(	(	PUNCT
ejpam-5401	136	5	γ	γ	X
ejpam-5401	136	6	,	,	PUNCT
ejpam-5401	136	7	c	c	NOUN
ejpam-5401	136	8	,	,	PUNCT
ejpam-5401	136	9	vψ)pc	vψ)pc	NOUN
ejpam-5401	136	10	over	over	ADP
ejpam-5401	136	11	up	up	ADV
ejpam-5401	136	12	is	be	AUX
ejpam-5401	136	13	called	call	VERB
ejpam-5401	136	14	a	a	DET
ejpam-5401	136	15	null	null	ADJ
ejpam-5401	136	16	plithogenic	plithogenic	ADJ
ejpam-5401	136	17	crisp	crisp	ADJ
ejpam-5401	136	18	hypersoft	hypersoft	NOUN
ejpam-5401	136	19	(	(	PUNCT
ejpam-5401	136	20	in	in	ADP
ejpam-5401	136	21	short	short	ADJ
ejpam-5401	136	22	,	,	PUNCT
ejpam-5401	136	23	null	null	ADJ
ejpam-5401	136	24	pchs	pchs	NOUN
ejpam-5401	136	25	)	)	PUNCT
ejpam-5401	136	26	set	set	VERB
ejpam-5401	136	27	if	if	SCONJ
ejpam-5401	136	28	∀β	∀β	PROPN
ejpam-5401	136	29	∈	∈	PROPN
ejpam-5401	136	30	vψ	vψ	PROPN
ejpam-5401	136	31	,	,	PUNCT
ejpam-5401	136	32	c(x	c(x	NOUN
ejpam-5401	136	33	,	,	PUNCT
ejpam-5401	136	34	di	di	NOUN
ejpam-5401	136	35	)	)	PUNCT
ejpam-5401	136	36	=	=	PUNCT
ejpam-5401	136	37	0pc	0pc	NOUN
ejpam-5401	136	38	for	for	ADP
ejpam-5401	136	39	each	each	DET
ejpam-5401	136	40	i	i	PRON
ejpam-5401	136	41	∈	∈	PROPN
ejpam-5401	136	42	{	{	PUNCT
ejpam-5401	136	43	1	1	NUM
ejpam-5401	136	44	,	,	PUNCT
ejpam-5401	136	45	2	2	NUM
ejpam-5401	136	46	,	,	PUNCT
ejpam-5401	136	47	.	.	PUNCT
ejpam-5401	136	48	.	.	PUNCT
ejpam-5401	137	1	.	.	PUNCT
ejpam-5401	138	1	,	,	PUNCT
ejpam-5401	138	2	n	n	CCONJ
ejpam-5401	138	3	}	}	PUNCT
ejpam-5401	138	4	and	and	CCONJ
ejpam-5401	138	5	for	for	ADP
ejpam-5401	138	6	all	all	DET
ejpam-5401	138	7	x	x	PART
ejpam-5401	138	8	∈	∈	NOUN
ejpam-5401	138	9	up	up	ADP
ejpam-5401	138	10	.	.	PUNCT
ejpam-5401	139	1	the	the	DET
ejpam-5401	139	2	null	null	ADJ
ejpam-5401	139	3	pchs	pch	NOUN
ejpam-5401	139	4	set	set	VERB
ejpam-5401	139	5	will	will	AUX
ejpam-5401	139	6	be	be	AUX
ejpam-5401	139	7	denoted	denote	VERB
ejpam-5401	139	8	by	by	ADP
ejpam-5401	139	9	(	(	PUNCT
ejpam-5401	139	10	φ	φ	PROPN
ejpam-5401	139	11	,	,	PUNCT
ejpam-5401	139	12	c	c	PROPN
ejpam-5401	139	13	,	,	PUNCT
ejpam-5401	139	14	vψ)pc	vψ)pc	X
ejpam-5401	139	15	.	.	PUNCT
ejpam-5401	140	1	definition	definition	NOUN
ejpam-5401	140	2	14	14	NUM
ejpam-5401	140	3	.	.	PUNCT
ejpam-5401	141	1	a	a	DET
ejpam-5401	141	2	pchs	pch	NOUN
ejpam-5401	141	3	set	set	NOUN
ejpam-5401	141	4	(	(	PUNCT
ejpam-5401	141	5	γ	γ	X
ejpam-5401	141	6	,	,	PUNCT
ejpam-5401	141	7	c	c	PROPN
ejpam-5401	141	8	,	,	PUNCT
ejpam-5401	141	9	vψ)pc	vψ)pc	PROPN
ejpam-5401	141	10	is	be	AUX
ejpam-5401	141	11	called	call	VERB
ejpam-5401	141	12	a	a	DET
ejpam-5401	141	13	whole	whole	ADJ
ejpam-5401	141	14	plithogenic	plithogenic	ADJ
ejpam-5401	141	15	crisp	crisp	ADJ
ejpam-5401	141	16	hypersoft	hypersoft	NOUN
ejpam-5401	141	17	(	(	PUNCT
ejpam-5401	141	18	in	in	ADP
ejpam-5401	141	19	short	short	ADJ
ejpam-5401	141	20	,	,	PUNCT
ejpam-5401	141	21	whole	whole	ADJ
ejpam-5401	141	22	pchs	pchs	NOUN
ejpam-5401	141	23	)	)	PUNCT
ejpam-5401	141	24	set	set	VERB
ejpam-5401	141	25	if	if	SCONJ
ejpam-5401	141	26	∀β	∀β	PROPN
ejpam-5401	141	27	∈	∈	PROPN
ejpam-5401	141	28	vψ	vψ	PROPN
ejpam-5401	141	29	,	,	PUNCT
ejpam-5401	141	30	c(x	c(x	NOUN
ejpam-5401	141	31	,	,	PUNCT
ejpam-5401	141	32	di	di	NOUN
ejpam-5401	141	33	)	)	PUNCT
ejpam-5401	141	34	=	=	PUNCT
ejpam-5401	141	35	1pc	1pc	ADJ
ejpam-5401	141	36	for	for	ADP
ejpam-5401	141	37	each	each	DET
ejpam-5401	141	38	i	i	PRON
ejpam-5401	141	39	∈	∈	PROPN
ejpam-5401	141	40	{	{	PUNCT
ejpam-5401	141	41	1	1	NUM
ejpam-5401	141	42	,	,	PUNCT
ejpam-5401	141	43	2	2	NUM
ejpam-5401	141	44	,	,	PUNCT
ejpam-5401	141	45	.	.	PUNCT
ejpam-5401	141	46	.	.	PUNCT
ejpam-5401	142	1	.	.	PUNCT
ejpam-5401	143	1	,	,	PUNCT
ejpam-5401	143	2	n	n	CCONJ
ejpam-5401	143	3	}	}	PUNCT
ejpam-5401	143	4	and	and	CCONJ
ejpam-5401	143	5	for	for	ADP
ejpam-5401	143	6	all	all	DET
ejpam-5401	143	7	x	x	PART
ejpam-5401	143	8	∈	∈	NOUN
ejpam-5401	143	9	up	up	ADP
ejpam-5401	143	10	.	.	PUNCT
ejpam-5401	144	1	the	the	DET
ejpam-5401	144	2	whole	whole	ADJ
ejpam-5401	144	3	pchs	pch	NOUN
ejpam-5401	144	4	set	set	VERB
ejpam-5401	144	5	will	will	AUX
ejpam-5401	144	6	be	be	AUX
ejpam-5401	144	7	denoted	denote	VERB
ejpam-5401	144	8	by	by	ADP
ejpam-5401	144	9	(	(	PUNCT
ejpam-5401	144	10	ψ	ψ	X
ejpam-5401	144	11	,	,	PUNCT
ejpam-5401	144	12	c	c	X
ejpam-5401	144	13	,	,	PUNCT
ejpam-5401	144	14	vψ)pc	vψ)pc	X
ejpam-5401	144	15	.	.	PUNCT
ejpam-5401	145	1	definition	definition	NOUN
ejpam-5401	145	2	15	15	NUM
ejpam-5401	145	3	.	.	PUNCT
ejpam-5401	146	1	let	let	VERB
ejpam-5401	146	2	(	(	PUNCT
ejpam-5401	146	3	γ1	γ1	PROPN
ejpam-5401	146	4	,	,	PUNCT
ejpam-5401	146	5	c1	c1	PROPN
ejpam-5401	146	6	,	,	PUNCT
ejpam-5401	146	7	fψ)pc	fψ)pc	PROPN
ejpam-5401	146	8	and	and	CCONJ
ejpam-5401	146	9	(	(	PUNCT
ejpam-5401	146	10	γ2	γ2	PROPN
ejpam-5401	146	11	,	,	PUNCT
ejpam-5401	146	12	c2	c2	PROPN
ejpam-5401	146	13	,	,	PUNCT
ejpam-5401	146	14	hψ)pc	hψ)pc	PROPN
ejpam-5401	146	15	be	be	VERB
ejpam-5401	146	16	two	two	NUM
ejpam-5401	146	17	pchs	pch	NOUN
ejpam-5401	146	18	sets	set	NOUN
ejpam-5401	146	19	over	over	ADP
ejpam-5401	146	20	up	up	ADP
ejpam-5401	146	21	.	.	PUNCT
ejpam-5401	147	1	then	then	ADV
ejpam-5401	147	2	(	(	PUNCT
ejpam-5401	147	3	γ1	γ1	PROPN
ejpam-5401	147	4	,	,	PUNCT
ejpam-5401	147	5	c1	c1	PROPN
ejpam-5401	147	6	,	,	PUNCT
ejpam-5401	147	7	fψ)pc	fψ)pc	PROPN
ejpam-5401	147	8	is	be	AUX
ejpam-5401	147	9	a	a	DET
ejpam-5401	147	10	pchs	pch	NOUN
ejpam-5401	147	11	subset	subset	NOUN
ejpam-5401	147	12	of	of	ADP
ejpam-5401	147	13	(	(	PUNCT
ejpam-5401	147	14	γ2	γ2	PROPN
ejpam-5401	147	15	,	,	PUNCT
ejpam-5401	147	16	c2	c2	PROPN
ejpam-5401	147	17	,	,	PUNCT
ejpam-5401	147	18	hψ)pc	hψ)pc	PROPN
ejpam-5401	147	19	if	if	SCONJ
ejpam-5401	147	20	fψ	fψ	ADJ
ejpam-5401	147	21	⊆	⊆	NUM
ejpam-5401	147	22	hψ	hψ	NOUN
ejpam-5401	147	23	and	and	CCONJ
ejpam-5401	147	24	γ1	γ1	PROPN
ejpam-5401	147	25	(	(	PUNCT
ejpam-5401	147	26	β	β	NOUN
ejpam-5401	147	27	)	)	PUNCT
ejpam-5401	147	28	⊆	⊆	NUM
ejpam-5401	147	29	γ2(β	γ2(β	SYM
ejpam-5401	147	30	)	)	PUNCT
ejpam-5401	147	31	for	for	ADP
ejpam-5401	147	32	all	all	DET
ejpam-5401	147	33	β	β	NOUN
ejpam-5401	147	34	∈	∈	NOUN
ejpam-5401	147	35	fψ	fψ	NOUN
ejpam-5401	147	36	and	and	CCONJ
ejpam-5401	147	37	c1	c1	PROPN
ejpam-5401	147	38	(	(	PUNCT
ejpam-5401	147	39	x	x	NOUN
ejpam-5401	147	40	,	,	PUNCT
ejpam-5401	147	41	di	di	NOUN
ejpam-5401	147	42	)	)	PUNCT
ejpam-5401	147	43	≤	≤	NOUN
ejpam-5401	147	44	c2	c2	PROPN
ejpam-5401	147	45	(	(	PUNCT
ejpam-5401	147	46	x	x	NOUN
ejpam-5401	147	47	,	,	PUNCT
ejpam-5401	147	48	di	di	NOUN
ejpam-5401	147	49	)	)	PUNCT
ejpam-5401	147	50	,	,	PUNCT
ejpam-5401	147	51	for	for	ADP
ejpam-5401	147	52	each	each	DET
ejpam-5401	147	53	i∈{1	i∈{1	PROPN
ejpam-5401	147	54	,	,	PUNCT
ejpam-5401	147	55	2	2	NUM
ejpam-5401	147	56	,	,	PUNCT
ejpam-5401	147	57	.	.	PUNCT
ejpam-5401	147	58	.	.	PUNCT
ejpam-5401	148	1	.	.	PUNCT
ejpam-5401	149	1	,	,	PUNCT
ejpam-5401	149	2	n	n	CCONJ
ejpam-5401	149	3	}	}	PUNCT
ejpam-5401	149	4	and	and	CCONJ
ejpam-5401	149	5	for	for	ADP
ejpam-5401	149	6	all	all	DET
ejpam-5401	149	7	x	x	SYM
ejpam-5401	149	8	∈	∈	PROPN
ejpam-5401	149	9	γ1	γ1	NOUN
ejpam-5401	149	10	(	(	PUNCT
ejpam-5401	149	11	β	β	NOUN
ejpam-5401	149	12	)	)	PUNCT
ejpam-5401	149	13	.	.	PUNCT
ejpam-5401	150	1	and	and	CCONJ
ejpam-5401	150	2	it	it	PRON
ejpam-5401	150	3	will	will	AUX
ejpam-5401	150	4	be	be	AUX
ejpam-5401	150	5	denoted	denote	VERB
ejpam-5401	150	6	by	by	ADP
ejpam-5401	150	7	(	(	PUNCT
ejpam-5401	150	8	γ1	γ1	PROPN
ejpam-5401	150	9	,	,	PUNCT
ejpam-5401	150	10	c1	c1	PROPN
ejpam-5401	150	11	,	,	PUNCT
ejpam-5401	150	12	fψ)pc	fψ)pc	PROPN
ejpam-5401	150	13	≍	≍	PROPN
ejpam-5401	150	14	⊑	⊑	X
ejpam-5401	150	15	(	(	PUNCT
ejpam-5401	150	16	γ2	γ2	PROPN
ejpam-5401	150	17	,	,	PUNCT
ejpam-5401	150	18	c2	c2	PROPN
ejpam-5401	150	19	,	,	PUNCT
ejpam-5401	150	20	hψ)pc	hψ)pc	PROPN
ejpam-5401	150	21	.	.	PUNCT
ejpam-5401	151	1	thus	thus	ADV
ejpam-5401	151	2	(	(	PUNCT
ejpam-5401	151	3	γ1	γ1	PROPN
ejpam-5401	151	4	,	,	PUNCT
ejpam-5401	151	5	c1	c1	PROPN
ejpam-5401	151	6	,	,	PUNCT
ejpam-5401	151	7	fψ)pc	fψ)pc	PROPN
ejpam-5401	151	8	and	and	CCONJ
ejpam-5401	151	9	(	(	PUNCT
ejpam-5401	151	10	γ2	γ2	PROPN
ejpam-5401	151	11	,	,	PUNCT
ejpam-5401	151	12	c2	c2	PROPN
ejpam-5401	151	13	,	,	PUNCT
ejpam-5401	151	14	hψ)pc	hψ)pc	PROPN
ejpam-5401	151	15	are	be	AUX
ejpam-5401	151	16	equal	equal	ADJ
ejpam-5401	151	17	,	,	PUNCT
ejpam-5401	151	18	if	if	SCONJ
ejpam-5401	151	19	(	(	PUNCT
ejpam-5401	151	20	γ1	γ1	PROPN
ejpam-5401	151	21	,	,	PUNCT
ejpam-5401	151	22	c1	c1	PROPN
ejpam-5401	151	23	,	,	PUNCT
ejpam-5401	151	24	fψ)pc	fψ)pc	PROPN
ejpam-5401	151	25	≍	≍	PROPN
ejpam-5401	151	26	⊑	⊑	X
ejpam-5401	151	27	(	(	PUNCT
ejpam-5401	151	28	γ2	γ2	PROPN
ejpam-5401	151	29	,	,	PUNCT
ejpam-5401	151	30	c2	c2	PROPN
ejpam-5401	151	31	,	,	PUNCT
ejpam-5401	151	32	hψ)pc	hψ)pc	PROPN
ejpam-5401	151	33	and	and	CCONJ
ejpam-5401	151	34	(	(	PUNCT
ejpam-5401	151	35	γ2	γ2	PROPN
ejpam-5401	151	36	,	,	PUNCT
ejpam-5401	151	37	c2	c2	PROPN
ejpam-5401	151	38	,	,	PUNCT
ejpam-5401	151	39	hψ)pc	hψ)pc	PROPN
ejpam-5401	151	40	≍	≍	PROPN
ejpam-5401	151	41	⊑	⊑	PRON
ejpam-5401	151	42	(	(	PUNCT
ejpam-5401	151	43	γ1	γ1	PROPN
ejpam-5401	151	44	,	,	PUNCT
ejpam-5401	151	45	c1	c1	PROPN
ejpam-5401	151	46	,	,	PUNCT
ejpam-5401	151	47	fψ)pc	fψ)pc	PROPN
ejpam-5401	151	48	and	and	CCONJ
ejpam-5401	151	49	denoted	denote	VERB
ejpam-5401	151	50	by	by	ADP
ejpam-5401	151	51	(	(	PUNCT
ejpam-5401	151	52	γ1	γ1	PROPN
ejpam-5401	151	53	,	,	PUNCT
ejpam-5401	151	54	c1	c1	PROPN
ejpam-5401	151	55	,	,	PUNCT
ejpam-5401	151	56	fψ)pc	fψ)pc	PROPN
ejpam-5401	151	57	≍	≍	PROPN
ejpam-5401	151	58	=	=	SYM
ejpam-5401	151	59	(	(	PUNCT
ejpam-5401	151	60	γ2	γ2	PROPN
ejpam-5401	151	61	,	,	PUNCT
ejpam-5401	151	62	c2	c2	PROPN
ejpam-5401	151	63	,	,	PUNCT
ejpam-5401	151	64	hψ)pc	hψ)pc	PROPN
ejpam-5401	151	65	.	.	PUNCT
ejpam-5401	152	1	definition	definition	NOUN
ejpam-5401	152	2	16	16	NUM
ejpam-5401	152	3	.	.	PUNCT
ejpam-5401	153	1	let	let	VERB
ejpam-5401	153	2	(	(	PUNCT
ejpam-5401	153	3	γ1	γ1	PROPN
ejpam-5401	153	4	,	,	PUNCT
ejpam-5401	153	5	c1	c1	PROPN
ejpam-5401	153	6	,	,	PUNCT
ejpam-5401	153	7	fψ)pc	fψ)pc	PROPN
ejpam-5401	153	8	and	and	CCONJ
ejpam-5401	153	9	(	(	PUNCT
ejpam-5401	153	10	γ2	γ2	PROPN
ejpam-5401	153	11	,	,	PUNCT
ejpam-5401	153	12	c2	c2	PROPN
ejpam-5401	153	13	,	,	PUNCT
ejpam-5401	153	14	hψ)pc	hψ)pc	PROPN
ejpam-5401	153	15	be	be	VERB
ejpam-5401	153	16	two	two	NUM
ejpam-5401	153	17	pchs	pch	NOUN
ejpam-5401	153	18	sets	set	NOUN
ejpam-5401	153	19	over	over	ADP
ejpam-5401	153	20	up	up	ADP
ejpam-5401	153	21	.	.	PUNCT
ejpam-5401	154	1	the	the	DET
ejpam-5401	154	2	intersection	intersection	NOUN
ejpam-5401	154	3	of	of	ADP
ejpam-5401	154	4	(	(	PUNCT
ejpam-5401	154	5	γ1	γ1	PROPN
ejpam-5401	154	6	,	,	PUNCT
ejpam-5401	154	7	c1	c1	PROPN
ejpam-5401	154	8	,	,	PUNCT
ejpam-5401	154	9	fψ)pc	fψ)pc	PROPN
ejpam-5401	154	10	and	and	CCONJ
ejpam-5401	154	11	(	(	PUNCT
ejpam-5401	154	12	γ2	γ2	PROPN
ejpam-5401	154	13	,	,	PUNCT
ejpam-5401	154	14	c2	c2	PROPN
ejpam-5401	154	15	,	,	PUNCT
ejpam-5401	154	16	hψ)pc	hψ)pc	PROPN
ejpam-5401	154	17	is	be	AUX
ejpam-5401	154	18	a	a	DET
ejpam-5401	154	19	pchs	pch	NOUN
ejpam-5401	154	20	set	set	VERB
ejpam-5401	154	21	as	as	SCONJ
ejpam-5401	154	22	defined	define	VERB
ejpam-5401	154	23	the	the	DET
ejpam-5401	154	24	follows	follow	NOUN
ejpam-5401	154	25	:	:	PUNCT
ejpam-5401	154	26	let	let	VERB
ejpam-5401	154	27	β	β	X
ejpam-5401	154	28	∈	∈	PROPN
ejpam-5401	154	29	fψ	fψ	ADP
ejpam-5401	154	30	∩hψ	∩hψ	NOUN
ejpam-5401	154	31	,	,	PUNCT
ejpam-5401	154	32	then	then	ADV
ejpam-5401	154	33	:	:	PUNCT
ejpam-5401	154	34	(	(	PUNCT
ejpam-5401	154	35	γ1	γ1	PROPN
ejpam-5401	154	36	,	,	PUNCT
ejpam-5401	154	37	c1	c1	PROPN
ejpam-5401	154	38	,	,	PUNCT
ejpam-5401	154	39	v	v	ADP
ejpam-5401	154	40	ψ)pc	ψ)pc	PROPN
ejpam-5401	154	41	≍	≍	PROPN
ejpam-5401	154	42	⊓	⊓	PROPN
ejpam-5401	154	43	(	(	PUNCT
ejpam-5401	154	44	γ2	γ2	PROPN
ejpam-5401	154	45	,	,	PUNCT
ejpam-5401	154	46	c2	c2	PROPN
ejpam-5401	154	47	,	,	PUNCT
ejpam-5401	154	48	hψ)pc	hψ)pc	PROPN
ejpam-5401	154	49	≍	≍	PROPN
ejpam-5401	154	50	=	=	PUNCT
ejpam-5401	154	51	{	{	PUNCT
ejpam-5401	154	52	<	<	X
ejpam-5401	154	53	β	β	X
ejpam-5401	154	54	,	,	PUNCT
ejpam-5401	154	55	{	{	PUNCT
ejpam-5401	154	56	x(min{c1(x	x(min{c1(x	PROPN
ejpam-5401	154	57	,	,	PUNCT
ejpam-5401	154	58	di	di	NOUN
ejpam-5401	154	59	)	)	PUNCT
ejpam-5401	154	60	,	,	PUNCT
ejpam-5401	154	61	c2(x	c2(x	PROPN
ejpam-5401	154	62	,	,	PUNCT
ejpam-5401	154	63	di	di	NOUN
ejpam-5401	154	64	)	)	PUNCT
ejpam-5401	154	65	}	}	PUNCT
ejpam-5401	154	66	)	)	PUNCT
ejpam-5401	154	67	}	}	PUNCT
ejpam-5401	154	68	>	>	PUNCT
ejpam-5401	154	69	}	}	PUNCT
ejpam-5401	154	70	.	.	PUNCT
ejpam-5401	155	1	definition	definition	NOUN
ejpam-5401	155	2	17	17	NUM
ejpam-5401	155	3	.	.	PUNCT
ejpam-5401	156	1	let	let	VERB
ejpam-5401	156	2	(	(	PUNCT
ejpam-5401	156	3	γ1	γ1	PROPN
ejpam-5401	156	4	,	,	PUNCT
ejpam-5401	156	5	c1	c1	PROPN
ejpam-5401	156	6	,	,	PUNCT
ejpam-5401	156	7	fψ)pc	fψ)pc	PROPN
ejpam-5401	156	8	and	and	CCONJ
ejpam-5401	156	9	(	(	PUNCT
ejpam-5401	156	10	γ2	γ2	PROPN
ejpam-5401	156	11	,	,	PUNCT
ejpam-5401	156	12	c2	c2	PROPN
ejpam-5401	156	13	,	,	PUNCT
ejpam-5401	156	14	hψ)pc	hψ)pc	PROPN
ejpam-5401	156	15	be	be	VERB
ejpam-5401	156	16	two	two	NUM
ejpam-5401	156	17	pchs	pch	NOUN
ejpam-5401	156	18	sets	set	NOUN
ejpam-5401	156	19	over	over	ADP
ejpam-5401	156	20	up	up	ADP
ejpam-5401	156	21	.	.	PUNCT
ejpam-5401	157	1	the	the	DET
ejpam-5401	157	2	union	union	PROPN
ejpam-5401	157	3	of	of	ADP
ejpam-5401	157	4	(	(	PUNCT
ejpam-5401	157	5	γ1	γ1	PROPN
ejpam-5401	157	6	,	,	PUNCT
ejpam-5401	157	7	c1	c1	PROPN
ejpam-5401	157	8	,	,	PUNCT
ejpam-5401	157	9	fψ)pc	fψ)pc	PROPN
ejpam-5401	157	10	and	and	CCONJ
ejpam-5401	157	11	(	(	PUNCT
ejpam-5401	157	12	γ2	γ2	PROPN
ejpam-5401	157	13	,	,	PUNCT
ejpam-5401	157	14	c2	c2	PROPN
ejpam-5401	157	15	,	,	PUNCT
ejpam-5401	157	16	hψ)pc	hψ)pc	PROPN
ejpam-5401	157	17	is	be	AUX
ejpam-5401	157	18	a	a	DET
ejpam-5401	157	19	pchs	pch	NOUN
ejpam-5401	157	20	set	set	VERB
ejpam-5401	157	21	as	as	SCONJ
ejpam-5401	157	22	defined	define	VERB
ejpam-5401	157	23	the	the	DET
ejpam-5401	157	24	follows	follow	NOUN
ejpam-5401	157	25	:	:	PUNCT
ejpam-5401	157	26	let	let	VERB
ejpam-5401	158	1	n.	n.	PROPN
ejpam-5401	158	2	k.	k.	PROPN
ejpam-5401	158	3	ahmed	ahmed	PROPN
ejpam-5401	158	4	,	,	PUNCT
ejpam-5401	158	5	o.	o.	PROPN
ejpam-5401	158	6	t.	t.	PROPN
ejpam-5401	158	7	pirbal	pirbal	PROPN
ejpam-5401	158	8	/	/	SYM
ejpam-5401	158	9	eur	eur	PROPN
ejpam-5401	158	10	.	.	PUNCT
ejpam-5401	159	1	j.	j.	PROPN
ejpam-5401	159	2	pure	pure	PROPN
ejpam-5401	159	3	appl	appl	PROPN
ejpam-5401	159	4	.	.	PROPN
ejpam-5401	159	5	math	math	PROPN
ejpam-5401	159	6	,	,	PUNCT
ejpam-5401	159	7	17	17	NUM
ejpam-5401	159	8	(	(	PUNCT
ejpam-5401	159	9	4	4	NUM
ejpam-5401	159	10	)	)	PUNCT
ejpam-5401	159	11	(	(	PUNCT
ejpam-5401	159	12	2024	2024	NUM
ejpam-5401	159	13	)	)	PUNCT
ejpam-5401	159	14	,	,	PUNCT
ejpam-5401	159	15	3043	3043	NUM
ejpam-5401	159	16	-	-	SYM
ejpam-5401	159	17	3060	3060	NUM
ejpam-5401	159	18	3047	3047	NUM
ejpam-5401	159	19	β	β	X
ejpam-5401	159	20	∈	∈	PROPN
ejpam-5401	159	21	fψ	fψ	PROPN
ejpam-5401	159	22	∪hψ	∪hψ	PROPN
ejpam-5401	159	23	,	,	PUNCT
ejpam-5401	159	24	then	then	ADV
ejpam-5401	159	25	:	:	PUNCT
ejpam-5401	159	26	(	(	PUNCT
ejpam-5401	159	27	γ1	γ1	PROPN
ejpam-5401	159	28	,	,	PUNCT
ejpam-5401	159	29	c1	c1	PROPN
ejpam-5401	159	30	,	,	PUNCT
ejpam-5401	159	31	fψ)pc	fψ)pc	PROPN
ejpam-5401	159	32	≍	≍	PROPN
ejpam-5401	159	33	⊔(γ2	⊔(γ2	NOUN
ejpam-5401	159	34	,	,	PUNCT
ejpam-5401	159	35	c2	c2	PROPN
ejpam-5401	159	36	,	,	PUNCT
ejpam-5401	159	37	hψ)pc	hψ)pc	PROPN
ejpam-5401	159	38	≍	≍	PROPN
ejpam-5401	160	1	=	=	PUNCT
ejpam-5401	160	2			PROPN
ejpam-5401	160	3	{	{	PUNCT
ejpam-5401	160	4	<	<	X
ejpam-5401	160	5	(	(	PUNCT
ejpam-5401	160	6	β	β	NOUN
ejpam-5401	160	7	)	)	PUNCT
ejpam-5401	160	8	,	,	PUNCT
ejpam-5401	160	9	{	{	PUNCT
ejpam-5401	160	10	x	x	X
ejpam-5401	160	11	(	(	PUNCT
ejpam-5401	160	12	c1	c1	PROPN
ejpam-5401	160	13	(	(	PUNCT
ejpam-5401	160	14	x	x	PROPN
ejpam-5401	160	15	,	,	PUNCT
ejpam-5401	160	16	di	di	NOUN
ejpam-5401	160	17	)	)	PUNCT
ejpam-5401	160	18	)	)	PUNCT
ejpam-5401	160	19	}	}	PUNCT
ejpam-5401	160	20	>	>	PUNCT
ejpam-5401	160	21	}	}	PUNCT
ejpam-5401	160	22	if	if	SCONJ
ejpam-5401	160	23	β	β	X
ejpam-5401	160	24	∈	∈	VERB
ejpam-5401	160	25	fψ	fψ	ADP
ejpam-5401	160	26	\hψ	\hψ	PROPN
ejpam-5401	160	27	{	{	PUNCT
ejpam-5401	160	28	<	<	X
ejpam-5401	160	29	(	(	PUNCT
ejpam-5401	160	30	β	β	NOUN
ejpam-5401	160	31	)	)	PUNCT
ejpam-5401	160	32	,	,	PUNCT
ejpam-5401	160	33	{	{	PUNCT
ejpam-5401	160	34	x	x	X
ejpam-5401	160	35	(	(	PUNCT
ejpam-5401	160	36	c2	c2	PROPN
ejpam-5401	160	37	(	(	PUNCT
ejpam-5401	160	38	x	x	NOUN
ejpam-5401	160	39	,	,	PUNCT
ejpam-5401	160	40	di	di	NOUN
ejpam-5401	160	41	)	)	PUNCT
ejpam-5401	160	42	)	)	PUNCT
ejpam-5401	160	43	}	}	PUNCT
ejpam-5401	160	44	>	>	PUNCT
ejpam-5401	160	45	}	}	PUNCT
ejpam-5401	160	46	if	if	SCONJ
ejpam-5401	160	47	β	β	X
ejpam-5401	160	48	∈	∈	NOUN
ejpam-5401	160	49	hψ	hψ	ADP
ejpam-5401	160	50	\	\	PROPN
ejpam-5401	160	51	fψ	fψ	PROPN
ejpam-5401	160	52	{	{	PUNCT
ejpam-5401	160	53	<	<	X
ejpam-5401	160	54	(	(	PUNCT
ejpam-5401	160	55	β	β	NOUN
ejpam-5401	160	56	)	)	PUNCT
ejpam-5401	160	57	,	,	PUNCT
ejpam-5401	160	58	{	{	PUNCT
ejpam-5401	160	59	x	x	X
ejpam-5401	160	60	(	(	PUNCT
ejpam-5401	160	61	max{c1	max{c1	X
ejpam-5401	160	62	(	(	PUNCT
ejpam-5401	160	63	x	x	NOUN
ejpam-5401	160	64	,	,	PUNCT
ejpam-5401	160	65	di	di	NOUN
ejpam-5401	160	66	)	)	PUNCT
ejpam-5401	160	67	,	,	PUNCT
ejpam-5401	160	68	c2	c2	PROPN
ejpam-5401	160	69	(	(	PUNCT
ejpam-5401	160	70	x	x	PROPN
ejpam-5401	160	71	,	,	PUNCT
ejpam-5401	160	72	di	di	NOUN
ejpam-5401	160	73	)	)	PUNCT
ejpam-5401	160	74	}	}	PUNCT
ejpam-5401	160	75	>	>	PUNCT
ejpam-5401	160	76	}	}	PUNCT
ejpam-5401	160	77	if	if	SCONJ
ejpam-5401	160	78	β	β	X
ejpam-5401	160	79	∈	∈	NOUN
ejpam-5401	160	80	hψ	hψ	NOUN
ejpam-5401	160	81	∩	∩	X
ejpam-5401	160	82	fψ	fψ	VERB
ejpam-5401	160	83	definition	definition	NOUN
ejpam-5401	160	84	18	18	NUM
ejpam-5401	160	85	.	.	PUNCT
ejpam-5401	161	1	let	let	VERB
ejpam-5401	161	2	(	(	PUNCT
ejpam-5401	161	3	γ1	γ1	PROPN
ejpam-5401	161	4	,	,	PUNCT
ejpam-5401	161	5	c1	c1	PROPN
ejpam-5401	161	6	,	,	PUNCT
ejpam-5401	161	7	fψ)pc	fψ)pc	PROPN
ejpam-5401	161	8	and	and	CCONJ
ejpam-5401	161	9	(	(	PUNCT
ejpam-5401	161	10	γ2	γ2	PROPN
ejpam-5401	161	11	,	,	PUNCT
ejpam-5401	161	12	c2	c2	PROPN
ejpam-5401	161	13	,	,	PUNCT
ejpam-5401	161	14	hψ)pc	hψ)pc	PROPN
ejpam-5401	161	15	be	be	VERB
ejpam-5401	161	16	two	two	NUM
ejpam-5401	161	17	pchs	pch	NOUN
ejpam-5401	161	18	sets	set	NOUN
ejpam-5401	161	19	over	over	ADP
ejpam-5401	161	20	up	up	ADP
ejpam-5401	161	21	.	.	PUNCT
ejpam-5401	162	1	the	the	DET
ejpam-5401	162	2	pchs	pchs	ADJ
ejpam-5401	162	3	difference	difference	NOUN
ejpam-5401	162	4	of	of	ADP
ejpam-5401	162	5	(	(	PUNCT
ejpam-5401	162	6	γ1	γ1	PROPN
ejpam-5401	162	7	,	,	PUNCT
ejpam-5401	162	8	c1	c1	PROPN
ejpam-5401	162	9	,	,	PUNCT
ejpam-5401	162	10	fψ)pc	fψ)pc	PROPN
ejpam-5401	162	11	and	and	CCONJ
ejpam-5401	162	12	(	(	PUNCT
ejpam-5401	162	13	γ2	γ2	PROPN
ejpam-5401	162	14	,	,	PUNCT
ejpam-5401	162	15	c2	c2	PROPN
ejpam-5401	162	16	,	,	PUNCT
ejpam-5401	162	17	hψ)pc	hψ)pc	PROPN
ejpam-5401	162	18	is	be	AUX
ejpam-5401	162	19	denoted	denote	VERB
ejpam-5401	162	20	by	by	ADP
ejpam-5401	162	21	(	(	PUNCT
ejpam-5401	162	22	γ	γ	PROPN
ejpam-5401	162	23	,	,	PUNCT
ejpam-5401	162	24	c	c	NOUN
ejpam-5401	162	25	,	,	PUNCT
ejpam-5401	162	26	v	v	X
ejpam-5401	162	27	ψ)pc	ψ)pc	PROPN
ejpam-5401	162	28	where	where	SCONJ
ejpam-5401	162	29	v	v	X
ejpam-5401	162	30	ψ	ψ	X
ejpam-5401	162	31	=	=	X
ejpam-5401	162	32	fψ	fψ	ADP
ejpam-5401	162	33	∩hψ	∩hψ	NOUN
ejpam-5401	162	34	and	and	CCONJ
ejpam-5401	162	35	for	for	ADP
ejpam-5401	162	36	all	all	DET
ejpam-5401	162	37	β	β	X
ejpam-5401	162	38	∈	∈	ADV
ejpam-5401	162	39	vψ	vψ	INTJ
ejpam-5401	162	40	,	,	PUNCT
ejpam-5401	162	41	vψ(β	vψ(β	ADJ
ejpam-5401	162	42	)	)	PUNCT
ejpam-5401	162	43	=	=	SYM
ejpam-5401	162	44	fψ(β	fψ(β	NOUN
ejpam-5401	162	45	)	)	PUNCT
ejpam-5401	162	46	\hψ(β	\hψ(β	NOUN
ejpam-5401	162	47	)	)	PUNCT
ejpam-5401	162	48	.	.	PUNCT
ejpam-5401	163	1	we	we	PRON
ejpam-5401	163	2	write	write	AUX
ejpam-5401	163	3	(	(	PUNCT
ejpam-5401	163	4	γ	γ	PROPN
ejpam-5401	163	5	,	,	PUNCT
ejpam-5401	163	6	c	c	NOUN
ejpam-5401	163	7	,	,	PUNCT
ejpam-5401	163	8	v	v	X
ejpam-5401	163	9	ψ)pc	ψ)pc	PROPN
ejpam-5401	163	10	≍	≍	PROPN
ejpam-5401	163	11	=	=	SYM
ejpam-5401	163	12	(	(	PUNCT
ejpam-5401	163	13	γ1	γ1	PROPN
ejpam-5401	163	14	,	,	PUNCT
ejpam-5401	163	15	c1	c1	PROPN
ejpam-5401	163	16	,	,	PUNCT
ejpam-5401	163	17	fψ)pc	fψ)pc	PROPN
ejpam-5401	163	18	≍	≍	PROPN
ejpam-5401	163	19	\	\	PROPN
ejpam-5401	163	20	(	(	PUNCT
ejpam-5401	163	21	γ2	γ2	PROPN
ejpam-5401	163	22	,	,	PUNCT
ejpam-5401	163	23	c2	c2	PROPN
ejpam-5401	163	24	,	,	PUNCT
ejpam-5401	163	25	hψ)pc	hψ)pc	PROPN
ejpam-5401	163	26	.	.	PUNCT
ejpam-5401	164	1	definition	definition	NOUN
ejpam-5401	164	2	19	19	NUM
ejpam-5401	164	3	.	.	PUNCT
ejpam-5401	165	1	the	the	DET
ejpam-5401	165	2	complement	complement	NOUN
ejpam-5401	165	3	of	of	ADP
ejpam-5401	165	4	a	a	DET
ejpam-5401	165	5	pchs	pchs	ADJ
ejpam-5401	165	6	set	set	NOUN
ejpam-5401	165	7	(	(	PUNCT
ejpam-5401	165	8	γ	γ	X
ejpam-5401	165	9	,	,	PUNCT
ejpam-5401	165	10	c	c	NOUN
ejpam-5401	165	11	,	,	PUNCT
ejpam-5401	165	12	vψ)pc	vψ)pc	X
ejpam-5401	165	13	=	=	PUNCT
ejpam-5401	165	14	{	{	PUNCT
ejpam-5401	165	15	<	<	X
ejpam-5401	165	16	(	(	PUNCT
ejpam-5401	165	17	β	β	NOUN
ejpam-5401	165	18	)	)	PUNCT
ejpam-5401	165	19	,	,	PUNCT
ejpam-5401	165	20	{	{	PUNCT
ejpam-5401	165	21	x	x	X
ejpam-5401	165	22	(	(	PUNCT
ejpam-5401	165	23	c	c	NOUN
ejpam-5401	165	24	(	(	PUNCT
ejpam-5401	165	25	x	x	NOUN
ejpam-5401	165	26	,	,	PUNCT
ejpam-5401	165	27	di	di	NOUN
ejpam-5401	165	28	)	)	PUNCT
ejpam-5401	165	29	)	)	PUNCT
ejpam-5401	165	30	}	}	PUNCT
ejpam-5401	165	31	;	;	PUNCT
ejpam-5401	165	32	β	β	X
ejpam-5401	165	33	∈	∈	NOUN
ejpam-5401	165	34	vψ	vψ	X
ejpam-5401	166	1	and	and	CCONJ
ejpam-5401	166	2	x	x	PROPN
ejpam-5401	166	3	∈	∈	PROPN
ejpam-5401	166	4	γ(β	γ(β	PROPN
ejpam-5401	166	5	)	)	PUNCT
ejpam-5401	166	6	}	}	PUNCT
ejpam-5401	166	7	>	>	PUNCT
ejpam-5401	166	8	}	}	PUNCT
ejpam-5401	166	9	is	be	AUX
ejpam-5401	166	10	denoted	denote	VERB
ejpam-5401	166	11	by	by	ADP
ejpam-5401	166	12	(	(	PUNCT
ejpam-5401	166	13	γ	γ	X
ejpam-5401	166	14	,	,	PUNCT
ejpam-5401	166	15	c	c	NOUN
ejpam-5401	166	16	,	,	PUNCT
ejpam-5401	166	17	v	v	NOUN
ejpam-5401	166	18	ψ	ψ	NOUN
ejpam-5401	166	19	)	)	PUNCT
ejpam-5401	166	20	c	c	NOUN
ejpam-5401	166	21	pc	pc	NOUN
ejpam-5401	166	22	and	and	CCONJ
ejpam-5401	166	23	defined	define	VERB
ejpam-5401	166	24	by	by	ADP
ejpam-5401	166	25	(	(	PUNCT
ejpam-5401	166	26	γ	γ	PROPN
ejpam-5401	166	27	,	,	PUNCT
ejpam-5401	166	28	c	c	NOUN
ejpam-5401	166	29	,	,	PUNCT
ejpam-5401	166	30	vψ	vψ	NOUN
ejpam-5401	166	31	)	)	PUNCT
ejpam-5401	166	32	c	c	NOUN
ejpam-5401	166	33	pc	pc	NOUN
ejpam-5401	166	34	≍	≍	NOUN
ejpam-5401	166	35	=	=	PUNCT
ejpam-5401	166	36	{	{	PUNCT
ejpam-5401	166	37	<	<	X
ejpam-5401	166	38	(	(	PUNCT
ejpam-5401	166	39	β	β	NOUN
ejpam-5401	166	40	)	)	PUNCT
ejpam-5401	166	41	,	,	PUNCT
ejpam-5401	166	42	{	{	PUNCT
ejpam-5401	166	43	x	x	X
ejpam-5401	166	44	(	(	PUNCT
ejpam-5401	166	45	c	c	NOUN
ejpam-5401	166	46	(	(	PUNCT
ejpam-5401	166	47	x	x	NOUN
ejpam-5401	166	48	,	,	PUNCT
ejpam-5401	166	49	di	di	NOUN
ejpam-5401	166	50	)	)	PUNCT
ejpam-5401	166	51	)	)	PUNCT
ejpam-5401	167	1	c	c	X
ejpam-5401	167	2	}	}	PUNCT
ejpam-5401	167	3	;	;	PUNCT
ejpam-5401	167	4	β	β	X
ejpam-5401	167	5	∈	∈	NOUN
ejpam-5401	167	6	vψ	vψ	ADP
ejpam-5401	167	7	and	and	CCONJ
ejpam-5401	167	8	for	for	ADP
ejpam-5401	167	9	all	all	DET
ejpam-5401	167	10	x	x	PUNCT
ejpam-5401	167	11	∈	∈	NOUN
ejpam-5401	167	12	up	up	ADP
ejpam-5401	167	13	}	}	PUNCT
ejpam-5401	167	14	.	.	PUNCT
ejpam-5401	168	1	that	that	PRON
ejpam-5401	168	2	is	be	AUX
ejpam-5401	168	3	,	,	PUNCT
ejpam-5401	168	4	if	if	SCONJ
ejpam-5401	168	5	c(x	c(x	NOUN
ejpam-5401	168	6	,	,	PUNCT
ejpam-5401	168	7	di	di	NOUN
ejpam-5401	168	8	)	)	PUNCT
ejpam-5401	168	9	=	=	SYM
ejpam-5401	168	10	0	0	NUM
ejpam-5401	168	11	,	,	PUNCT
ejpam-5401	168	12	then	then	ADV
ejpam-5401	168	13	(	(	PUNCT
ejpam-5401	168	14	c(x	c(x	NOUN
ejpam-5401	168	15	,	,	PUNCT
ejpam-5401	168	16	di	di	NOUN
ejpam-5401	168	17	)	)	PUNCT
ejpam-5401	168	18	)	)	PUNCT
ejpam-5401	169	1	c	c	NOUN
ejpam-5401	170	1	=	=	SYM
ejpam-5401	170	2	1	1	NUM
ejpam-5401	170	3	or	or	CCONJ
ejpam-5401	170	4	the	the	DET
ejpam-5401	170	5	reverse	reverse	NOUN
ejpam-5401	170	6	.	.	PUNCT
ejpam-5401	171	1	proposition	proposition	NOUN
ejpam-5401	171	2	1	1	NUM
ejpam-5401	171	3	.	.	PUNCT
ejpam-5401	172	1	let	let	VERB
ejpam-5401	172	2	(	(	PUNCT
ejpam-5401	172	3	γ	γ	X
ejpam-5401	172	4	,	,	PUNCT
ejpam-5401	172	5	c	c	NOUN
ejpam-5401	172	6	,	,	PUNCT
ejpam-5401	172	7	v	v	NOUN
ejpam-5401	172	8	ψ	ψ	NOUN
ejpam-5401	172	9	)	)	PUNCT
ejpam-5401	172	10	pc	pc	NOUN
ejpam-5401	172	11	be	be	AUX
ejpam-5401	172	12	a	a	DET
ejpam-5401	172	13	pchs	pch	NOUN
ejpam-5401	172	14	set	set	VERB
ejpam-5401	172	15	over	over	ADP
ejpam-5401	172	16	up	up	ADP
ejpam-5401	172	17	.	.	PUNCT
ejpam-5401	173	1	then	then	ADV
ejpam-5401	173	2	the	the	DET
ejpam-5401	173	3	following	follow	VERB
ejpam-5401	173	4	are	be	AUX
ejpam-5401	173	5	true	true	ADJ
ejpam-5401	173	6	:	:	PUNCT
ejpam-5401	173	7	(	(	PUNCT
ejpam-5401	173	8	i	i	NOUN
ejpam-5401	173	9	)	)	PUNCT
ejpam-5401	173	10	(	(	PUNCT
ejpam-5401	173	11	γ	γ	X
ejpam-5401	173	12	,	,	PUNCT
ejpam-5401	173	13	c	c	NOUN
ejpam-5401	173	14	,	,	PUNCT
ejpam-5401	173	15	vψ)pc	vψ)pc	PROPN
ejpam-5401	173	16	≍	≍	PROPN
ejpam-5401	173	17	⊔	⊔	PROPN
ejpam-5401	173	18	(	(	PUNCT
ejpam-5401	173	19	φ	φ	PROPN
ejpam-5401	173	20	,	,	PUNCT
ejpam-5401	173	21	c	c	NOUN
ejpam-5401	173	22	,	,	PUNCT
ejpam-5401	173	23	v	v	NOUN
ejpam-5401	173	24	ψ	ψ	NOUN
ejpam-5401	173	25	)	)	PUNCT
ejpam-5401	173	26	pc	pc	NOUN
ejpam-5401	173	27	≍	≍	NOUN
ejpam-5401	173	28	=	=	SYM
ejpam-5401	173	29	(	(	PUNCT
ejpam-5401	173	30	γ	γ	X
ejpam-5401	173	31	,	,	PUNCT
ejpam-5401	173	32	c	c	NOUN
ejpam-5401	173	33	,	,	PUNCT
ejpam-5401	173	34	v	v	NOUN
ejpam-5401	173	35	ψ	ψ	NOUN
ejpam-5401	173	36	)	)	PUNCT
ejpam-5401	173	37	pc	pc	NOUN
ejpam-5401	173	38	(	(	PUNCT
ejpam-5401	173	39	ii	ii	NOUN
ejpam-5401	173	40	)	)	PUNCT
ejpam-5401	173	41	(	(	PUNCT
ejpam-5401	173	42	γ	γ	X
ejpam-5401	173	43	,	,	PUNCT
ejpam-5401	173	44	c	c	NOUN
ejpam-5401	173	45	,	,	PUNCT
ejpam-5401	173	46	v	v	NOUN
ejpam-5401	173	47	ψ	ψ	NOUN
ejpam-5401	173	48	)	)	PUNCT
ejpam-5401	173	49	pc	pc	NOUN
ejpam-5401	173	50	≍	≍	VERB
ejpam-5401	173	51	⊓	⊓	PROPN
ejpam-5401	173	52	(	(	PUNCT
ejpam-5401	173	53	φ	φ	PROPN
ejpam-5401	173	54	,	,	PUNCT
ejpam-5401	173	55	c	c	NOUN
ejpam-5401	173	56	,	,	PUNCT
ejpam-5401	173	57	v	v	NOUN
ejpam-5401	173	58	ψ	ψ	NOUN
ejpam-5401	173	59	)	)	PUNCT
ejpam-5401	173	60	pc	pc	NOUN
ejpam-5401	173	61	≍	≍	NOUN
ejpam-5401	173	62	=	=	SYM
ejpam-5401	173	63	(	(	PUNCT
ejpam-5401	173	64	φ	φ	PROPN
ejpam-5401	173	65	,	,	PUNCT
ejpam-5401	173	66	c	c	PROPN
ejpam-5401	173	67	,	,	PUNCT
ejpam-5401	173	68	v	v	X
ejpam-5401	173	69	ψ)pc	ψ)pc	PROPN
ejpam-5401	173	70	(	(	PUNCT
ejpam-5401	173	71	iii	iii	NOUN
ejpam-5401	173	72	)	)	PUNCT
ejpam-5401	173	73	(	(	PUNCT
ejpam-5401	173	74	γ	γ	X
ejpam-5401	173	75	,	,	PUNCT
ejpam-5401	173	76	c	c	NOUN
ejpam-5401	173	77	,	,	PUNCT
ejpam-5401	173	78	v	v	NOUN
ejpam-5401	173	79	ψ	ψ	NOUN
ejpam-5401	173	80	)	)	PUNCT
ejpam-5401	173	81	pc	pc	NOUN
ejpam-5401	173	82	≍	≍	VERB
ejpam-5401	173	83	⊔	⊔	PROPN
ejpam-5401	173	84	(	(	PUNCT
ejpam-5401	173	85	ψ	ψ	X
ejpam-5401	173	86	,	,	PUNCT
ejpam-5401	173	87	c	c	NOUN
ejpam-5401	173	88	,	,	PUNCT
ejpam-5401	173	89	v	v	NOUN
ejpam-5401	173	90	ψ	ψ	NOUN
ejpam-5401	173	91	)	)	PUNCT
ejpam-5401	173	92	pc	pc	NOUN
ejpam-5401	173	93	≍	≍	NOUN
ejpam-5401	173	94	=	=	SYM
ejpam-5401	173	95	(	(	PUNCT
ejpam-5401	173	96	ψ	ψ	X
ejpam-5401	173	97	,	,	PUNCT
ejpam-5401	173	98	c	c	NOUN
ejpam-5401	173	99	,	,	PUNCT
ejpam-5401	173	100	v	v	X
ejpam-5401	173	101	ψ)pc	ψ)pc	PROPN
ejpam-5401	173	102	(	(	PUNCT
ejpam-5401	173	103	iv	iv	X
ejpam-5401	173	104	)	)	PUNCT
ejpam-5401	173	105	(	(	PUNCT
ejpam-5401	173	106	γ	γ	X
ejpam-5401	173	107	,	,	PUNCT
ejpam-5401	173	108	c	c	NOUN
ejpam-5401	173	109	,	,	PUNCT
ejpam-5401	173	110	v	v	NOUN
ejpam-5401	173	111	ψ	ψ	NOUN
ejpam-5401	173	112	)	)	PUNCT
ejpam-5401	173	113	pc	pc	NOUN
ejpam-5401	173	114	≍	≍	VERB
ejpam-5401	173	115	⊓	⊓	PROPN
ejpam-5401	173	116	(	(	PUNCT
ejpam-5401	173	117	ψ	ψ	X
ejpam-5401	173	118	,	,	PUNCT
ejpam-5401	173	119	c	c	NOUN
ejpam-5401	173	120	,	,	PUNCT
ejpam-5401	173	121	v	v	NOUN
ejpam-5401	173	122	ψ	ψ	NOUN
ejpam-5401	173	123	)	)	PUNCT
ejpam-5401	173	124	pc	pc	NOUN
ejpam-5401	173	125	≍	≍	NOUN
ejpam-5401	173	126	=	=	SYM
ejpam-5401	173	127	(	(	PUNCT
ejpam-5401	173	128	γ	γ	X
ejpam-5401	173	129	,	,	PUNCT
ejpam-5401	173	130	c	c	NOUN
ejpam-5401	173	131	,	,	PUNCT
ejpam-5401	173	132	v	v	NOUN
ejpam-5401	173	133	ψ	ψ	NOUN
ejpam-5401	173	134	)	)	PUNCT
ejpam-5401	173	135	pc	pc	NOUN
ejpam-5401	173	136	(	(	PUNCT
ejpam-5401	173	137	v	v	NOUN
ejpam-5401	173	138	)	)	PUNCT
ejpam-5401	173	139	(	(	PUNCT
ejpam-5401	173	140	ψ	ψ	X
ejpam-5401	173	141	,	,	PUNCT
ejpam-5401	173	142	c	c	NOUN
ejpam-5401	173	143	,	,	PUNCT
ejpam-5401	173	144	v	v	NOUN
ejpam-5401	173	145	ψ	ψ	NOUN
ejpam-5401	173	146	)	)	PUNCT
ejpam-5401	173	147	pc	pc	NOUN
ejpam-5401	173	148	≍	≍	PROPN
ejpam-5401	173	149	\	\	PROPN
ejpam-5401	173	150	(	(	PUNCT
ejpam-5401	173	151	γ	γ	X
ejpam-5401	173	152	,	,	PUNCT
ejpam-5401	173	153	c	c	NOUN
ejpam-5401	173	154	,	,	PUNCT
ejpam-5401	173	155	vψ)pc	vψ)pc	PROPN
ejpam-5401	173	156	≍	≍	PROPN
ejpam-5401	173	157	=	=	SYM
ejpam-5401	173	158	(	(	PUNCT
ejpam-5401	173	159	γ	γ	X
ejpam-5401	173	160	,	,	PUNCT
ejpam-5401	173	161	c	c	NOUN
ejpam-5401	173	162	,	,	PUNCT
ejpam-5401	173	163	v	v	NOUN
ejpam-5401	173	164	ψ	ψ	NOUN
ejpam-5401	173	165	)	)	PUNCT
ejpam-5401	173	166	c	c	NOUN
ejpam-5401	173	167	pc	pc	NOUN
ejpam-5401	173	168	(	(	PUNCT
ejpam-5401	173	169	vi	vi	NOUN
ejpam-5401	173	170	)	)	PUNCT
ejpam-5401	173	171	(	(	PUNCT
ejpam-5401	173	172	γ	γ	X
ejpam-5401	173	173	,	,	PUNCT
ejpam-5401	173	174	c	c	NOUN
ejpam-5401	173	175	,	,	PUNCT
ejpam-5401	173	176	vψ)pc	vψ)pc	PROPN
ejpam-5401	173	177	≍	≍	PROPN
ejpam-5401	173	178	⊔	⊔	PROPN
ejpam-5401	173	179	(	(	PUNCT
ejpam-5401	173	180	γ	γ	X
ejpam-5401	173	181	,	,	PUNCT
ejpam-5401	173	182	c	c	NOUN
ejpam-5401	173	183	,	,	PUNCT
ejpam-5401	173	184	v	v	NOUN
ejpam-5401	173	185	ψ	ψ	NOUN
ejpam-5401	173	186	)	)	PUNCT
ejpam-5401	173	187	c	c	NOUN
ejpam-5401	173	188	pc	pc	NOUN
ejpam-5401	173	189	≍	≍	NOUN
ejpam-5401	173	190	=	=	SYM
ejpam-5401	173	191	(	(	PUNCT
ejpam-5401	173	192	ψ	ψ	X
ejpam-5401	173	193	,	,	PUNCT
ejpam-5401	173	194	c	c	NOUN
ejpam-5401	173	195	,	,	PUNCT
ejpam-5401	173	196	v	v	NOUN
ejpam-5401	173	197	ψ	ψ	NOUN
ejpam-5401	173	198	)	)	PUNCT
ejpam-5401	173	199	pc	pc	NOUN
ejpam-5401	173	200	(	(	PUNCT
ejpam-5401	173	201	vii	vii	PROPN
ejpam-5401	173	202	)	)	PUNCT
ejpam-5401	173	203	(	(	PUNCT
ejpam-5401	173	204	γ	γ	X
ejpam-5401	173	205	,	,	PUNCT
ejpam-5401	173	206	c	c	NOUN
ejpam-5401	173	207	,	,	PUNCT
ejpam-5401	174	1	vψ)pc	vψ)pc	PROPN
ejpam-5401	174	2	≍	≍	PROPN
ejpam-5401	174	3	⊓	⊓	PROPN
ejpam-5401	174	4	(	(	PUNCT
ejpam-5401	174	5	γ	γ	X
ejpam-5401	174	6	,	,	PUNCT
ejpam-5401	174	7	c	c	NOUN
ejpam-5401	174	8	,	,	PUNCT
ejpam-5401	174	9	v	v	NOUN
ejpam-5401	174	10	ψ	ψ	NOUN
ejpam-5401	174	11	)	)	PUNCT
ejpam-5401	174	12	c	c	NOUN
ejpam-5401	174	13	pc	pc	NOUN
ejpam-5401	174	14	≍	≍	NOUN
ejpam-5401	174	15	=	=	SYM
ejpam-5401	174	16	(	(	PUNCT
ejpam-5401	174	17	φ	φ	PROPN
ejpam-5401	174	18	,	,	PUNCT
ejpam-5401	174	19	c	c	NOUN
ejpam-5401	174	20	,	,	PUNCT
ejpam-5401	174	21	v	v	NOUN
ejpam-5401	174	22	ψ	ψ	NOUN
ejpam-5401	174	23	)	)	PUNCT
ejpam-5401	174	24	pc	pc	NOUN
ejpam-5401	174	25	.	.	PUNCT
ejpam-5401	175	1	proof	proof	NOUN
ejpam-5401	175	2	.	.	PUNCT
ejpam-5401	176	1	straightforward	straightforward	ADJ
ejpam-5401	176	2	.	.	PUNCT
ejpam-5401	177	1	definition	definition	NOUN
ejpam-5401	177	2	20	20	NUM
ejpam-5401	177	3	.	.	PUNCT
ejpam-5401	178	1	a	a	DET
ejpam-5401	178	2	pchs	pch	NOUN
ejpam-5401	178	3	set	set	NOUN
ejpam-5401	178	4	(	(	PUNCT
ejpam-5401	178	5	γ	γ	X
ejpam-5401	178	6	,	,	PUNCT
ejpam-5401	178	7	c	c	PROPN
ejpam-5401	178	8	,	,	PUNCT
ejpam-5401	178	9	vψ)pc	vψ)pc	PROPN
ejpam-5401	178	10	is	be	AUX
ejpam-5401	178	11	said	say	VERB
ejpam-5401	178	12	to	to	PART
ejpam-5401	178	13	be	be	AUX
ejpam-5401	178	14	a	a	DET
ejpam-5401	178	15	pchs	pchs	ADJ
ejpam-5401	178	16	point	point	NOUN
ejpam-5401	178	17	,	,	PUNCT
ejpam-5401	178	18	if	if	SCONJ
ejpam-5401	178	19	range	range	NOUN
ejpam-5401	178	20	(	(	PUNCT
ejpam-5401	178	21	γ	γ	NOUN
ejpam-5401	178	22	)	)	PUNCT
ejpam-5401	178	23	=	=	NOUN
ejpam-5401	178	24	{	{	PUNCT
ejpam-5401	178	25	x	x	NOUN
ejpam-5401	178	26	}	}	PUNCT
ejpam-5401	178	27	and	and	CCONJ
ejpam-5401	178	28	∃i	∃i	PROPN
ejpam-5401	178	29	∈	∈	PROPN
ejpam-5401	178	30	{	{	PUNCT
ejpam-5401	178	31	1	1	NUM
ejpam-5401	178	32	,	,	PUNCT
ejpam-5401	178	33	2	2	NUM
ejpam-5401	178	34	,	,	PUNCT
ejpam-5401	178	35	.	.	PUNCT
ejpam-5401	178	36	.	.	PUNCT
ejpam-5401	179	1	.	.	PUNCT
ejpam-5401	180	1	,	,	PUNCT
ejpam-5401	181	1	n	n	CCONJ
ejpam-5401	181	2	}	}	PUNCT
ejpam-5401	182	1	such	such	ADJ
ejpam-5401	182	2	that	that	SCONJ
ejpam-5401	182	3	c	c	NOUN
ejpam-5401	182	4	(	(	PUNCT
ejpam-5401	182	5	x	x	NOUN
ejpam-5401	182	6	,	,	PUNCT
ejpam-5401	182	7	di	di	NOUN
ejpam-5401	182	8	)	)	PUNCT
ejpam-5401	182	9	=	=	SYM
ejpam-5401	182	10	1	1	NUM
ejpam-5401	182	11	and	and	CCONJ
ejpam-5401	182	12	will	will	AUX
ejpam-5401	182	13	be	be	AUX
ejpam-5401	182	14	denote	denote	VERB
ejpam-5401	182	15	by	by	ADP
ejpam-5401	182	16	pcp	pcp	PROPN
ejpam-5401	182	17	(	(	PUNCT
ejpam-5401	182	18	β	β	X
ejpam-5401	182	19	,	,	PUNCT
ejpam-5401	182	20	x	x	NOUN
ejpam-5401	182	21	)	)	PUNCT
ejpam-5401	182	22	where	where	SCONJ
ejpam-5401	182	23	β	β	X
ejpam-5401	182	24	∈	∈	PROPN
ejpam-5401	182	25	vψ	vψ	PROPN
ejpam-5401	182	26	.	.	PUNCT
ejpam-5401	182	27	proposition	proposition	NOUN
ejpam-5401	182	28	2	2	NUM
ejpam-5401	182	29	.	.	PUNCT
ejpam-5401	183	1	let	let	VERB
ejpam-5401	183	2	(	(	PUNCT
ejpam-5401	183	3	γ	γ	X
ejpam-5401	183	4	,	,	PUNCT
ejpam-5401	183	5	c	c	NOUN
ejpam-5401	183	6	,	,	PUNCT
ejpam-5401	183	7	vψ)pc	vψ)pc	X
ejpam-5401	183	8	,	,	PUNCT
ejpam-5401	183	9	(	(	PUNCT
ejpam-5401	183	10	γ1	γ1	PROPN
ejpam-5401	183	11	,	,	PUNCT
ejpam-5401	183	12	c1	c1	PROPN
ejpam-5401	183	13	,	,	PUNCT
ejpam-5401	183	14	fψ)pc	fψ)pc	PROPN
ejpam-5401	183	15	and	and	CCONJ
ejpam-5401	183	16	(	(	PUNCT
ejpam-5401	183	17	γ2	γ2	PROPN
ejpam-5401	183	18	,	,	PUNCT
ejpam-5401	183	19	c2	c2	PROPN
ejpam-5401	183	20	,	,	PUNCT
ejpam-5401	183	21	hψ)pc	hψ)pc	PROPN
ejpam-5401	183	22	be	be	VERB
ejpam-5401	183	23	pchs	pchs	ADJ
ejpam-5401	183	24	sets	set	NOUN
ejpam-5401	183	25	over	over	ADP
ejpam-5401	183	26	up	up	ADP
ejpam-5401	183	27	.	.	PUNCT
ejpam-5401	184	1	then	then	ADV
ejpam-5401	184	2	the	the	DET
ejpam-5401	184	3	following	follow	VERB
ejpam-5401	184	4	hold	hold	NOUN
ejpam-5401	184	5	:	:	PUNCT
ejpam-5401	184	6	(	(	PUNCT
ejpam-5401	184	7	i	i	NOUN
ejpam-5401	184	8	)	)	PUNCT
ejpam-5401	184	9	if	if	SCONJ
ejpam-5401	184	10	(	(	PUNCT
ejpam-5401	184	11	γ	γ	X
ejpam-5401	184	12	,	,	PUNCT
ejpam-5401	184	13	c	c	NOUN
ejpam-5401	184	14	,	,	PUNCT
ejpam-5401	184	15	vψ)pc	vψ)pc	PROPN
ejpam-5401	184	16	is	be	AUX
ejpam-5401	184	17	not	not	PART
ejpam-5401	184	18	a	a	DET
ejpam-5401	184	19	null	null	ADJ
ejpam-5401	184	20	pchs	pchs	ADJ
ejpam-5401	184	21	point	point	NOUN
ejpam-5401	184	22	,	,	PUNCT
ejpam-5401	184	23	then	then	ADV
ejpam-5401	184	24	(	(	PUNCT
ejpam-5401	184	25	γ	γ	X
ejpam-5401	184	26	,	,	PUNCT
ejpam-5401	184	27	c	c	X
ejpam-5401	184	28	,	,	PUNCT
ejpam-5401	184	29	vψ)pc	vψ)pc	PROPN
ejpam-5401	184	30	contains	contain	VERB
ejpam-5401	184	31	at	at	ADV
ejpam-5401	184	32	least	least	ADV
ejpam-5401	184	33	one	one	NUM
ejpam-5401	184	34	non	non	ADJ
ejpam-5401	184	35	-	-	ADJ
ejpam-5401	184	36	null	null	ADJ
ejpam-5401	184	37	pchs	pchs	ADJ
ejpam-5401	184	38	point	point	NOUN
ejpam-5401	184	39	.	.	PUNCT
ejpam-5401	185	1	n.	n.	PROPN
ejpam-5401	185	2	k.	k.	PROPN
ejpam-5401	185	3	ahmed	ahmed	PROPN
ejpam-5401	185	4	,	,	PUNCT
ejpam-5401	185	5	o.	o.	PROPN
ejpam-5401	185	6	t.	t.	PROPN
ejpam-5401	185	7	pirbal	pirbal	PROPN
ejpam-5401	185	8	/	/	SYM
ejpam-5401	185	9	eur	eur	PROPN
ejpam-5401	185	10	.	.	PUNCT
ejpam-5401	186	1	j.	j.	PROPN
ejpam-5401	186	2	pure	pure	PROPN
ejpam-5401	186	3	appl	appl	PROPN
ejpam-5401	186	4	.	.	PROPN
ejpam-5401	186	5	math	math	PROPN
ejpam-5401	186	6	,	,	PUNCT
ejpam-5401	186	7	17	17	NUM
ejpam-5401	186	8	(	(	PUNCT
ejpam-5401	186	9	4	4	NUM
ejpam-5401	186	10	)	)	PUNCT
ejpam-5401	186	11	(	(	PUNCT
ejpam-5401	186	12	2024	2024	NUM
ejpam-5401	186	13	)	)	PUNCT
ejpam-5401	186	14	,	,	PUNCT
ejpam-5401	186	15	3043	3043	NUM
ejpam-5401	186	16	-	-	SYM
ejpam-5401	186	17	3060	3060	NUM
ejpam-5401	186	18	3048	3048	NUM
ejpam-5401	186	19	(	(	PUNCT
ejpam-5401	186	20	ii	ii	NOUN
ejpam-5401	186	21	)	)	PUNCT
ejpam-5401	186	22	(	(	PUNCT
ejpam-5401	186	23	γ1	γ1	PROPN
ejpam-5401	186	24	,	,	PUNCT
ejpam-5401	186	25	c1	c1	PROPN
ejpam-5401	186	26	,	,	PUNCT
ejpam-5401	186	27	fψ)pc	fψ)pc	PROPN
ejpam-5401	186	28	≍	≍	PROPN
ejpam-5401	186	29	⊑	⊑	X
ejpam-5401	186	30	(	(	PUNCT
ejpam-5401	186	31	γ2	γ2	PROPN
ejpam-5401	186	32	,	,	PUNCT
ejpam-5401	186	33	c2	c2	PROPN
ejpam-5401	186	34	,	,	PUNCT
ejpam-5401	186	35	hψ)pc	hψ)pc	PROPN
ejpam-5401	186	36	⇐	⇐	ADJ
ejpam-5401	186	37	⇒	⇒	PROPN
ejpam-5401	186	38	pcp	pcp	PROPN
ejpam-5401	186	39	(	(	PUNCT
ejpam-5401	186	40	β	β	X
ejpam-5401	186	41	,	,	PUNCT
ejpam-5401	186	42	x	x	NOUN
ejpam-5401	186	43	)	)	PUNCT
ejpam-5401	186	44	∈	∈	PROPN
ejpam-5401	186	45	(	(	PUNCT
ejpam-5401	186	46	γ1	γ1	PROPN
ejpam-5401	186	47	,	,	PUNCT
ejpam-5401	186	48	c1	c1	PROPN
ejpam-5401	186	49	,	,	PUNCT
ejpam-5401	186	50	fψ)pc	fψ)pc	PROPN
ejpam-5401	186	51	implies	imply	VERB
ejpam-5401	186	52	that	that	DET
ejpam-5401	186	53	pcp	pcp	PROPN
ejpam-5401	186	54	(	(	PUNCT
ejpam-5401	186	55	β	β	X
ejpam-5401	186	56	,	,	PUNCT
ejpam-5401	186	57	x	x	NOUN
ejpam-5401	186	58	)	)	PUNCT
ejpam-5401	186	59	∈	∈	PROPN
ejpam-5401	186	60	(	(	PUNCT
ejpam-5401	186	61	γ2	γ2	PROPN
ejpam-5401	186	62	,	,	PUNCT
ejpam-5401	186	63	c2	c2	PROPN
ejpam-5401	186	64	,	,	PUNCT
ejpam-5401	186	65	hψ)pc	hψ)pc	PROPN
ejpam-5401	186	66	.	.	PUNCT
ejpam-5401	187	1	(	(	PUNCT
ejpam-5401	187	2	iii	iii	X
ejpam-5401	187	3	)	)	PUNCT
ejpam-5401	187	4	pcp	pcp	NOUN
ejpam-5401	187	5	(	(	PUNCT
ejpam-5401	187	6	β	β	X
ejpam-5401	187	7	,	,	PUNCT
ejpam-5401	187	8	x	x	NOUN
ejpam-5401	187	9	)	)	PUNCT
ejpam-5401	187	10	∈	∈	PROPN
ejpam-5401	187	11	(	(	PUNCT
ejpam-5401	187	12	γ1	γ1	PROPN
ejpam-5401	187	13	,	,	PUNCT
ejpam-5401	187	14	c1	c1	PROPN
ejpam-5401	187	15	,	,	PUNCT
ejpam-5401	187	16	fψ)pc	fψ)pc	PROPN
ejpam-5401	187	17	≍	≍	PROPN
ejpam-5401	187	18	⊔	⊔	PROPN
ejpam-5401	187	19	(	(	PUNCT
ejpam-5401	187	20	γ2	γ2	PROPN
ejpam-5401	187	21	,	,	PUNCT
ejpam-5401	187	22	c2	c2	PROPN
ejpam-5401	187	23	,	,	PUNCT
ejpam-5401	187	24	hψ)pc	hψ)pc	PROPN
ejpam-5401	187	25	⇐	⇐	ADJ
ejpam-5401	187	26	⇒	⇒	PROPN
ejpam-5401	187	27	pcp	pcp	PROPN
ejpam-5401	187	28	(	(	PUNCT
ejpam-5401	187	29	β	β	X
ejpam-5401	187	30	,	,	PUNCT
ejpam-5401	187	31	x	x	NOUN
ejpam-5401	187	32	)	)	PUNCT
ejpam-5401	187	33	∈	∈	PROPN
ejpam-5401	187	34	(	(	PUNCT
ejpam-5401	187	35	γ1	γ1	PROPN
ejpam-5401	187	36	,	,	PUNCT
ejpam-5401	187	37	c1	c1	PROPN
ejpam-5401	187	38	,	,	PUNCT
ejpam-5401	187	39	fψ)pc	fψ)pc	PROPN
ejpam-5401	187	40	or	or	CCONJ
ejpam-5401	187	41	pcp	pcp	PROPN
ejpam-5401	187	42	(	(	PUNCT
ejpam-5401	187	43	β	β	X
ejpam-5401	187	44	,	,	PUNCT
ejpam-5401	187	45	x	x	NOUN
ejpam-5401	187	46	)	)	PUNCT
ejpam-5401	187	47	∈	∈	PROPN
ejpam-5401	187	48	(	(	PUNCT
ejpam-5401	187	49	γ2	γ2	PROPN
ejpam-5401	187	50	,	,	PUNCT
ejpam-5401	187	51	c2	c2	PROPN
ejpam-5401	187	52	,	,	PUNCT
ejpam-5401	187	53	hψ)pc	hψ)pc	PROPN
ejpam-5401	187	54	.	.	PUNCT
ejpam-5401	188	1	(	(	PUNCT
ejpam-5401	188	2	iv	iv	X
ejpam-5401	188	3	)	)	PUNCT
ejpam-5401	188	4	pcp	pcp	PROPN
ejpam-5401	188	5	(	(	PUNCT
ejpam-5401	188	6	β	β	X
ejpam-5401	188	7	,	,	PUNCT
ejpam-5401	188	8	x	x	NOUN
ejpam-5401	188	9	)	)	PUNCT
ejpam-5401	188	10	∈	∈	PROPN
ejpam-5401	188	11	(	(	PUNCT
ejpam-5401	188	12	γ1	γ1	PROPN
ejpam-5401	188	13	,	,	PUNCT
ejpam-5401	188	14	c1	c1	PROPN
ejpam-5401	188	15	,	,	PUNCT
ejpam-5401	189	1	fψ)pc	fψ)pc	PROPN
ejpam-5401	189	2	≍	≍	PROPN
ejpam-5401	189	3	⊓	⊓	PROPN
ejpam-5401	189	4	(	(	PUNCT
ejpam-5401	189	5	γ2	γ2	PROPN
ejpam-5401	189	6	,	,	PUNCT
ejpam-5401	189	7	c2	c2	PROPN
ejpam-5401	189	8	,	,	PUNCT
ejpam-5401	189	9	hψ)pc	hψ)pc	PROPN
ejpam-5401	189	10	⇐	⇐	ADJ
ejpam-5401	189	11	⇒	⇒	PROPN
ejpam-5401	189	12	pcp	pcp	PROPN
ejpam-5401	189	13	(	(	PUNCT
ejpam-5401	189	14	β	β	X
ejpam-5401	189	15	,	,	PUNCT
ejpam-5401	189	16	x	x	NOUN
ejpam-5401	189	17	)	)	PUNCT
ejpam-5401	189	18	∈	∈	PROPN
ejpam-5401	189	19	(	(	PUNCT
ejpam-5401	189	20	γ1	γ1	PROPN
ejpam-5401	189	21	,	,	PUNCT
ejpam-5401	189	22	c1	c1	PROPN
ejpam-5401	189	23	,	,	PUNCT
ejpam-5401	189	24	fψ)pc	fψ)pc	PROPN
ejpam-5401	189	25	and	and	CCONJ
ejpam-5401	189	26	pcp	pcp	PROPN
ejpam-5401	189	27	(	(	PUNCT
ejpam-5401	189	28	β	β	X
ejpam-5401	189	29	,	,	PUNCT
ejpam-5401	189	30	x	x	NOUN
ejpam-5401	189	31	)	)	PUNCT
ejpam-5401	189	32	∈	∈	PROPN
ejpam-5401	189	33	(	(	PUNCT
ejpam-5401	189	34	γ2	γ2	PROPN
ejpam-5401	189	35	,	,	PUNCT
ejpam-5401	189	36	c2	c2	PROPN
ejpam-5401	189	37	,	,	PUNCT
ejpam-5401	189	38	hψ)pc	hψ)pc	PROPN
ejpam-5401	189	39	.	.	PUNCT
ejpam-5401	190	1	(	(	PUNCT
ejpam-5401	190	2	v	v	NOUN
ejpam-5401	190	3	)	)	PUNCT
ejpam-5401	190	4	pcp	pcp	NOUN
ejpam-5401	190	5	(	(	PUNCT
ejpam-5401	190	6	β	β	X
ejpam-5401	190	7	,	,	PUNCT
ejpam-5401	190	8	x	x	NOUN
ejpam-5401	190	9	)	)	PUNCT
ejpam-5401	190	10	∈	∈	PROPN
ejpam-5401	190	11	(	(	PUNCT
ejpam-5401	190	12	γ1	γ1	PROPN
ejpam-5401	190	13	,	,	PUNCT
ejpam-5401	190	14	c1	c1	PROPN
ejpam-5401	190	15	,	,	PUNCT
ejpam-5401	191	1	fψ)pc	fψ)pc	PROPN
ejpam-5401	191	2	≍	≍	PROPN
ejpam-5401	191	3	\	\	PROPN
ejpam-5401	192	1	(	(	PUNCT
ejpam-5401	192	2	γ2	γ2	PROPN
ejpam-5401	192	3	,	,	PUNCT
ejpam-5401	192	4	c2	c2	PROPN
ejpam-5401	192	5	,	,	PUNCT
ejpam-5401	192	6	hψ)pc	hψ)pc	PROPN
ejpam-5401	192	7	⇐	⇐	ADJ
ejpam-5401	192	8	⇒	⇒	PROPN
ejpam-5401	192	9	pcp	pcp	PROPN
ejpam-5401	192	10	(	(	PUNCT
ejpam-5401	192	11	β	β	X
ejpam-5401	192	12	,	,	PUNCT
ejpam-5401	192	13	x	x	NOUN
ejpam-5401	192	14	)	)	PUNCT
ejpam-5401	192	15	∈	∈	PROPN
ejpam-5401	192	16	(	(	PUNCT
ejpam-5401	192	17	γ1	γ1	PROPN
ejpam-5401	192	18	,	,	PUNCT
ejpam-5401	192	19	c1	c1	PROPN
ejpam-5401	192	20	,	,	PUNCT
ejpam-5401	192	21	fψ)pc	fψ)pc	PROPN
ejpam-5401	192	22	and	and	CCONJ
ejpam-5401	192	23	pcp	pcp	PROPN
ejpam-5401	192	24	(	(	PUNCT
ejpam-5401	192	25	β	β	X
ejpam-5401	192	26	,	,	PUNCT
ejpam-5401	192	27	x	x	NOUN
ejpam-5401	192	28	)	)	PUNCT
ejpam-5401	192	29	/∈	/∈	PUNCT
ejpam-5401	193	1	(	(	PUNCT
ejpam-5401	193	2	γ2	γ2	PROPN
ejpam-5401	193	3	,	,	PUNCT
ejpam-5401	193	4	c2	c2	PROPN
ejpam-5401	193	5	,	,	PUNCT
ejpam-5401	193	6	hψ)pc	hψ)pc	PROPN
ejpam-5401	193	7	.	.	PUNCT
ejpam-5401	194	1	proof	proof	NOUN
ejpam-5401	194	2	.	.	PUNCT
ejpam-5401	195	1	straightforward	straightforward	ADJ
ejpam-5401	195	2	.	.	PUNCT
ejpam-5401	196	1	remark	remark	PROPN
ejpam-5401	196	2	1	1	NUM
ejpam-5401	196	3	.	.	PUNCT
ejpam-5401	197	1	(	(	PUNCT
ejpam-5401	197	2	i	i	NOUN
ejpam-5401	197	3	)	)	PUNCT
ejpam-5401	197	4	if	if	SCONJ
ejpam-5401	197	5	c	c	PROPN
ejpam-5401	197	6	(	(	PUNCT
ejpam-5401	197	7	x	x	NOUN
ejpam-5401	197	8	,	,	PUNCT
ejpam-5401	197	9	di	di	NOUN
ejpam-5401	197	10	)	)	PUNCT
ejpam-5401	197	11	=	=	PUNCT
ejpam-5401	197	12	0pc	0pc	NOUN
ejpam-5401	197	13	for	for	ADP
ejpam-5401	197	14	all	all	DET
ejpam-5401	197	15	i∈{1	i∈{1	ADJ
ejpam-5401	197	16	,	,	PUNCT
ejpam-5401	197	17	2	2	NUM
ejpam-5401	197	18	,	,	PUNCT
ejpam-5401	197	19	.	.	PUNCT
ejpam-5401	197	20	.	.	PUNCT
ejpam-5401	198	1	.	.	PUNCT
ejpam-5401	199	1	,	,	PUNCT
ejpam-5401	199	2	n	n	CCONJ
ejpam-5401	199	3	}	}	PUNCT
ejpam-5401	199	4	,	,	PUNCT
ejpam-5401	199	5	then	then	ADV
ejpam-5401	199	6	pcp	pcp	PROPN
ejpam-5401	199	7	(	(	PUNCT
ejpam-5401	199	8	β	β	X
ejpam-5401	199	9	,	,	PUNCT
ejpam-5401	199	10	x	x	X
ejpam-5401	199	11	)	)	PUNCT
ejpam-5401	199	12	is	be	AUX
ejpam-5401	199	13	called	call	VERB
ejpam-5401	199	14	null	null	ADJ
ejpam-5401	199	15	pchs	pchs	ADJ
ejpam-5401	199	16	point	point	NOUN
ejpam-5401	199	17	and	and	CCONJ
ejpam-5401	199	18	denoted	denote	VERB
ejpam-5401	199	19	by	by	ADP
ejpam-5401	199	20	pcp	pcp	PROPN
ejpam-5401	199	21	(	(	PUNCT
ejpam-5401	199	22	β	β	X
ejpam-5401	199	23	,	,	PUNCT
ejpam-5401	199	24	x,0pc	x,0pc	NOUN
ejpam-5401	199	25	)	)	PUNCT
ejpam-5401	199	26	.	.	PUNCT
ejpam-5401	200	1	also	also	ADV
ejpam-5401	200	2	,	,	PUNCT
ejpam-5401	200	3	if	if	SCONJ
ejpam-5401	200	4	(	(	PUNCT
ejpam-5401	200	5	γ	γ	X
ejpam-5401	200	6	,	,	PUNCT
ejpam-5401	200	7	c	c	NOUN
ejpam-5401	200	8	,	,	PUNCT
ejpam-5401	200	9	v	v	NOUN
ejpam-5401	200	10	ψ	ψ	NOUN
ejpam-5401	200	11	)	)	PUNCT
ejpam-5401	200	12	pc	pc	NOUN
ejpam-5401	200	13	is	be	AUX
ejpam-5401	200	14	null	null	ADJ
ejpam-5401	200	15	pchs	pch	NOUN
ejpam-5401	200	16	set	set	VERB
ejpam-5401	200	17	,	,	PUNCT
ejpam-5401	200	18	then	then	ADV
ejpam-5401	200	19	it	it	PRON
ejpam-5401	200	20	can	can	AUX
ejpam-5401	200	21	be	be	AUX
ejpam-5401	200	22	considered	consider	VERB
ejpam-5401	200	23	as	as	ADP
ejpam-5401	200	24	a	a	DET
ejpam-5401	200	25	null	null	ADJ
ejpam-5401	200	26	pchs	pchs	ADJ
ejpam-5401	200	27	point	point	NOUN
ejpam-5401	200	28	.	.	PUNCT
ejpam-5401	201	1	(	(	PUNCT
ejpam-5401	201	2	ii	ii	NOUN
ejpam-5401	201	3	)	)	PUNCT
ejpam-5401	201	4	(	(	PUNCT
ejpam-5401	201	5	γ	γ	X
ejpam-5401	201	6	,	,	PUNCT
ejpam-5401	201	7	c	c	NOUN
ejpam-5401	201	8	,	,	PUNCT
ejpam-5401	201	9	v	v	NOUN
ejpam-5401	201	10	ψ	ψ	NOUN
ejpam-5401	201	11	)	)	PUNCT
ejpam-5401	201	12	pc	pc	NOUN
ejpam-5401	201	13	≍	≍	NOUN
ejpam-5401	201	14	=	=	PUNCT
ejpam-5401	201	15	≍	≍	PROPN
ejpam-5401	201	16	⊔	⊔	PROPN
ejpam-5401	201	17	{	{	PUNCT
ejpam-5401	201	18	pcp	pcp	PROPN
ejpam-5401	201	19	(	(	PUNCT
ejpam-5401	201	20	β	β	X
ejpam-5401	201	21	,	,	PUNCT
ejpam-5401	201	22	x	x	NOUN
ejpam-5401	201	23	)	)	PUNCT
ejpam-5401	201	24	;	;	PUNCT
ejpam-5401	201	25	pcp	pcp	PROPN
ejpam-5401	201	26	(	(	PUNCT
ejpam-5401	201	27	β	β	X
ejpam-5401	201	28	,	,	PUNCT
ejpam-5401	201	29	x	x	NOUN
ejpam-5401	201	30	)	)	PUNCT
ejpam-5401	201	31	∈	∈	PROPN
ejpam-5401	201	32	(	(	PUNCT
ejpam-5401	201	33	γ	γ	X
ejpam-5401	201	34	,	,	PUNCT
ejpam-5401	201	35	c	c	NOUN
ejpam-5401	201	36	,	,	PUNCT
ejpam-5401	201	37	vψ)pc	vψ)pc	NOUN
ejpam-5401	201	38	}	}	PUNCT
ejpam-5401	201	39	4	4	NUM
ejpam-5401	201	40	.	.	X
ejpam-5401	201	41	plithogenic	plithogenic	ADJ
ejpam-5401	201	42	crisp	crisp	ADJ
ejpam-5401	201	43	hypersoft	hypersoft	NOUN
ejpam-5401	201	44	topology	topology	NOUN
ejpam-5401	201	45	definition	definition	NOUN
ejpam-5401	201	46	21	21	NUM
ejpam-5401	201	47	.	.	PUNCT
ejpam-5401	202	1	let	let	VERB
ejpam-5401	202	2	(	(	PUNCT
ejpam-5401	202	3	γ	γ	X
ejpam-5401	202	4	,	,	PUNCT
ejpam-5401	202	5	c	c	NOUN
ejpam-5401	202	6	,	,	PUNCT
ejpam-5401	202	7	v	v	NOUN
ejpam-5401	202	8	ψ	ψ	NOUN
ejpam-5401	202	9	)	)	PUNCT
ejpam-5401	202	10	pc	pc	NOUN
ejpam-5401	202	11	be	be	AUX
ejpam-5401	202	12	a	a	DET
ejpam-5401	202	13	pchs	pch	NOUN
ejpam-5401	202	14	set	set	VERB
ejpam-5401	202	15	over	over	ADP
ejpam-5401	202	16	up	up	ADP
ejpam-5401	202	17	and	and	CCONJ
ejpam-5401	202	18	x	x	PUNCT
ejpam-5401	202	19	∈	∈	NOUN
ejpam-5401	202	20	up	up	ADP
ejpam-5401	202	21	.	.	PUNCT
ejpam-5401	203	1	then	then	ADV
ejpam-5401	203	2	x	x	X
ejpam-5401	203	3	∈	∈	PROPN
ejpam-5401	203	4	(	(	PUNCT
ejpam-5401	203	5	γ	γ	X
ejpam-5401	203	6	,	,	PUNCT
ejpam-5401	203	7	c	c	NOUN
ejpam-5401	203	8	,	,	PUNCT
ejpam-5401	203	9	v	v	NOUN
ejpam-5401	203	10	ψ	ψ	NOUN
ejpam-5401	203	11	)	)	PUNCT
ejpam-5401	203	12	pc	pc	NOUN
ejpam-5401	204	1	if	if	SCONJ
ejpam-5401	204	2	x	x	PROPN
ejpam-5401	204	3	∈	∈	PROPN
ejpam-5401	204	4	γ(β	γ(β	PROPN
ejpam-5401	204	5	)	)	PUNCT
ejpam-5401	204	6	for	for	ADP
ejpam-5401	204	7	all	all	DET
ejpam-5401	204	8	β	β	X
ejpam-5401	204	9	∈	∈	NOUN
ejpam-5401	204	10	vψ	vψ	ADP
ejpam-5401	204	11	and	and	CCONJ
ejpam-5401	204	12	c(x	c(x	NOUN
ejpam-5401	204	13	,	,	PUNCT
ejpam-5401	204	14	di	di	NOUN
ejpam-5401	204	15	)	)	PUNCT
ejpam-5401	204	16	̸=	̸=	PROPN
ejpam-5401	204	17	0	0	NUM
ejpam-5401	204	18	for	for	ADP
ejpam-5401	204	19	some	some	DET
ejpam-5401	204	20	i	i	PRON
ejpam-5401	204	21	∈	∈	PROPN
ejpam-5401	204	22	{	{	PUNCT
ejpam-5401	204	23	1	1	NUM
ejpam-5401	204	24	,	,	PUNCT
ejpam-5401	204	25	2	2	NUM
ejpam-5401	204	26	,	,	PUNCT
ejpam-5401	204	27	...	...	PUNCT
ejpam-5401	204	28	,	,	PUNCT
ejpam-5401	204	29	n	n	CCONJ
ejpam-5401	204	30	}	}	PUNCT
ejpam-5401	205	1	.	.	PUNCT
ejpam-5401	206	1	otherwise	otherwise	ADV
ejpam-5401	206	2	,	,	PUNCT
ejpam-5401	206	3	x	x	X
ejpam-5401	206	4	/∈	/∈	PUNCT
ejpam-5401	206	5	(	(	PUNCT
ejpam-5401	206	6	γ	γ	X
ejpam-5401	206	7	,	,	PUNCT
ejpam-5401	206	8	c	c	NOUN
ejpam-5401	206	9	,	,	PUNCT
ejpam-5401	206	10	v	v	NOUN
ejpam-5401	206	11	ψ	ψ	NOUN
ejpam-5401	206	12	)	)	PUNCT
ejpam-5401	206	13	pc	pc	NOUN
ejpam-5401	206	14	.	.	PUNCT
ejpam-5401	207	1	definition	definition	NOUN
ejpam-5401	207	2	22	22	NUM
ejpam-5401	207	3	.	.	PUNCT
ejpam-5401	208	1	let	let	VERB
ejpam-5401	208	2	y	y	PRON
ejpam-5401	208	3	be	be	AUX
ejpam-5401	208	4	a	a	DET
ejpam-5401	208	5	non	non	ADJ
ejpam-5401	208	6	-	-	ADJ
ejpam-5401	208	7	empty	empty	ADJ
ejpam-5401	208	8	subset	subset	NOUN
ejpam-5401	208	9	of	of	ADP
ejpam-5401	208	10	up	up	ADP
ejpam-5401	208	11	.	.	PUNCT
ejpam-5401	209	1	then	then	ADV
ejpam-5401	209	2	(	(	PUNCT
ejpam-5401	209	3	y	y	PROPN
ejpam-5401	209	4	,	,	PUNCT
ejpam-5401	209	5	c	c	X
ejpam-5401	209	6	,	,	PUNCT
ejpam-5401	209	7	vψ)pc	vψ)pc	PROPN
ejpam-5401	209	8	denoted	denote	VERB
ejpam-5401	209	9	a	a	DET
ejpam-5401	209	10	pchs	pch	NOUN
ejpam-5401	209	11	set	set	VERB
ejpam-5401	209	12	over	over	ADP
ejpam-5401	209	13	up	up	ADV
ejpam-5401	209	14	and	and	CCONJ
ejpam-5401	209	15	defined	define	VERB
ejpam-5401	209	16	by	by	ADP
ejpam-5401	209	17	y	y	PROPN
ejpam-5401	209	18	(	(	PUNCT
ejpam-5401	209	19	β	β	X
ejpam-5401	209	20	)	)	PUNCT
ejpam-5401	209	21	=	=	SYM
ejpam-5401	209	22	y	y	PROPN
ejpam-5401	209	23	,	,	PUNCT
ejpam-5401	209	24	for	for	ADP
ejpam-5401	209	25	all	all	DET
ejpam-5401	209	26	β	β	X
ejpam-5401	209	27	∈	∈	PROPN
ejpam-5401	209	28	vψ	vψ	PROPN
ejpam-5401	209	29	.	.	NOUN
ejpam-5401	209	30	definition	definition	NOUN
ejpam-5401	209	31	23	23	NUM
ejpam-5401	209	32	.	.	PUNCT
ejpam-5401	210	1	let	let	VERB
ejpam-5401	210	2	(	(	PUNCT
ejpam-5401	210	3	γ	γ	X
ejpam-5401	210	4	,	,	PUNCT
ejpam-5401	210	5	c	c	X
ejpam-5401	210	6	,	,	PUNCT
ejpam-5401	210	7	vψ)pc	vψ)pc	X
ejpam-5401	210	8	be	be	AUX
ejpam-5401	210	9	a	a	DET
ejpam-5401	210	10	pchs	pch	NOUN
ejpam-5401	210	11	set	set	VERB
ejpam-5401	210	12	over	over	ADP
ejpam-5401	210	13	up	up	ADP
ejpam-5401	210	14	,	,	PUNCT
ejpam-5401	210	15	and	and	CCONJ
ejpam-5401	210	16	let	let	VERB
ejpam-5401	210	17	y	y	PRON
ejpam-5401	210	18	be	be	AUX
ejpam-5401	210	19	a	a	DET
ejpam-5401	210	20	non	non	ADJ
ejpam-5401	210	21	-	-	ADJ
ejpam-5401	210	22	empty	empty	ADJ
ejpam-5401	210	23	subset	subset	NOUN
ejpam-5401	210	24	of	of	ADP
ejpam-5401	210	25	up	up	ADV
ejpam-5401	210	26	.	.	PUNCT
ejpam-5401	211	1	the	the	DET
ejpam-5401	211	2	sub	sub	ADJ
ejpam-5401	211	3	-	-	ADJ
ejpam-5401	211	4	pchs	pchs	ADJ
ejpam-5401	211	5	set	set	NOUN
ejpam-5401	211	6	of	of	ADP
ejpam-5401	211	7	(	(	PUNCT
ejpam-5401	211	8	γ	γ	X
ejpam-5401	211	9	,	,	PUNCT
ejpam-5401	211	10	c	c	X
ejpam-5401	211	11	,	,	PUNCT
ejpam-5401	211	12	vψ)pc	vψ)pc	PROPN
ejpam-5401	211	13	over	over	ADP
ejpam-5401	211	14	y	y	PROPN
ejpam-5401	211	15	is	be	AUX
ejpam-5401	211	16	denoted	denote	VERB
ejpam-5401	211	17	by	by	ADP
ejpam-5401	211	18	(	(	PUNCT
ejpam-5401	211	19	γy	γy	INTJ
ejpam-5401	211	20	,	,	PUNCT
ejpam-5401	211	21	c	c	X
ejpam-5401	211	22	,	,	PUNCT
ejpam-5401	211	23	vψ)pc	vψ)pc	PROPN
ejpam-5401	211	24	and	and	CCONJ
ejpam-5401	211	25	is	be	AUX
ejpam-5401	211	26	defined	define	VERB
ejpam-5401	211	27	as	as	ADP
ejpam-5401	211	28	γy	γy	PROPN
ejpam-5401	211	29	(	(	PUNCT
ejpam-5401	211	30	β	β	NOUN
ejpam-5401	211	31	)	)	PUNCT
ejpam-5401	211	32	=	=	SYM
ejpam-5401	211	33	y	y	PROPN
ejpam-5401	211	34	∩	∩	NOUN
ejpam-5401	211	35	γ(β	γ(β	PROPN
ejpam-5401	211	36	)	)	PUNCT
ejpam-5401	211	37	for	for	ADP
ejpam-5401	211	38	each	each	DET
ejpam-5401	211	39	β	β	X
ejpam-5401	211	40	∈	∈	PROPN
ejpam-5401	212	1	vψ	vψ	PROPN
ejpam-5401	212	2	.	.	PUNCT
ejpam-5401	213	1	that	that	PRON
ejpam-5401	213	2	is	be	AUX
ejpam-5401	213	3	,	,	PUNCT
ejpam-5401	213	4	(	(	PUNCT
ejpam-5401	213	5	γy	γy	INTJ
ejpam-5401	213	6	,	,	PUNCT
ejpam-5401	213	7	c	c	X
ejpam-5401	213	8	,	,	PUNCT
ejpam-5401	213	9	vψ)pc	vψ)pc	PROPN
ejpam-5401	213	10	≍	≍	PROPN
ejpam-5401	213	11	=	=	SYM
ejpam-5401	213	12	(	(	PUNCT
ejpam-5401	213	13	y	y	PROPN
ejpam-5401	213	14	,	,	PUNCT
ejpam-5401	213	15	c	c	X
ejpam-5401	213	16	,	,	PUNCT
ejpam-5401	214	1	vψ)pc	vψ)pc	PROPN
ejpam-5401	214	2	≍	≍	PROPN
ejpam-5401	214	3	⊓	⊓	PROPN
ejpam-5401	214	4	(	(	PUNCT
ejpam-5401	214	5	γ	γ	X
ejpam-5401	214	6	,	,	PUNCT
ejpam-5401	214	7	c	c	PROPN
ejpam-5401	214	8	,	,	PUNCT
ejpam-5401	214	9	vψ)pc	vψ)pc	X
ejpam-5401	214	10	.	.	PUNCT
ejpam-5401	215	1	definition	definition	NOUN
ejpam-5401	215	2	24	24	NUM
ejpam-5401	215	3	.	.	PUNCT
ejpam-5401	216	1	let	let	VERB
ejpam-5401	216	2	τpc	τpc	NOUN
ejpam-5401	216	3	be	be	AUX
ejpam-5401	216	4	the	the	DET
ejpam-5401	216	5	collection	collection	NOUN
ejpam-5401	216	6	of	of	ADP
ejpam-5401	216	7	pchs	pch	NOUN
ejpam-5401	216	8	sets	set	NOUN
ejpam-5401	216	9	over	over	ADP
ejpam-5401	216	10	up	up	ADP
ejpam-5401	216	11	.	.	PUNCT
ejpam-5401	217	1	then	then	ADV
ejpam-5401	217	2	τpc	τpc	PROPN
ejpam-5401	217	3	is	be	AUX
ejpam-5401	217	4	said	say	VERB
ejpam-5401	217	5	to	to	PART
ejpam-5401	217	6	be	be	AUX
ejpam-5401	217	7	plithogenic	plithogenic	ADJ
ejpam-5401	217	8	crisp	crisp	ADJ
ejpam-5401	217	9	hypersoft	hypersoft	NOUN
ejpam-5401	217	10	(	(	PUNCT
ejpam-5401	217	11	in	in	ADP
ejpam-5401	217	12	short	short	ADJ
ejpam-5401	217	13	,	,	PUNCT
ejpam-5401	217	14	pchs	pchs	ADJ
ejpam-5401	217	15	)	)	PUNCT
ejpam-5401	217	16	topology	topology	NOUN
ejpam-5401	217	17	over	over	ADP
ejpam-5401	217	18	up	up	ADP
ejpam-5401	217	19	,	,	PUNCT
ejpam-5401	217	20	if	if	SCONJ
ejpam-5401	217	21	the	the	DET
ejpam-5401	217	22	following	follow	VERB
ejpam-5401	217	23	holds	hold	VERB
ejpam-5401	217	24	:	:	PUNCT
ejpam-5401	217	25	(	(	PUNCT
ejpam-5401	217	26	i	i	NOUN
ejpam-5401	217	27	)	)	PUNCT
ejpam-5401	217	28	(	(	PUNCT
ejpam-5401	217	29	φ	φ	PROPN
ejpam-5401	217	30	,	,	PUNCT
ejpam-5401	217	31	c	c	NOUN
ejpam-5401	217	32	,	,	PUNCT
ejpam-5401	217	33	v	v	NOUN
ejpam-5401	217	34	ψ	ψ	NOUN
ejpam-5401	217	35	)	)	PUNCT
ejpam-5401	217	36	pc	pc	NOUN
ejpam-5401	217	37	,	,	PUNCT
ejpam-5401	217	38	(	(	PUNCT
ejpam-5401	217	39	ψ	ψ	X
ejpam-5401	217	40	,	,	PUNCT
ejpam-5401	217	41	c	c	NOUN
ejpam-5401	217	42	,	,	PUNCT
ejpam-5401	217	43	v	v	NOUN
ejpam-5401	217	44	ψ	ψ	NOUN
ejpam-5401	217	45	)	)	PUNCT
ejpam-5401	217	46	pc	pc	NOUN
ejpam-5401	217	47	belong	belong	VERB
ejpam-5401	217	48	to	to	ADP
ejpam-5401	217	49	τpc	τpc	NOUN
ejpam-5401	217	50	,	,	PUNCT
ejpam-5401	217	51	(	(	PUNCT
ejpam-5401	217	52	ii	ii	NOUN
ejpam-5401	217	53	)	)	PUNCT
ejpam-5401	217	54	the	the	DET
ejpam-5401	217	55	intersection	intersection	NOUN
ejpam-5401	217	56	of	of	ADP
ejpam-5401	217	57	any	any	DET
ejpam-5401	217	58	two	two	NUM
ejpam-5401	217	59	pchs	pchs	ADJ
ejpam-5401	217	60	sets	set	NOUN
ejpam-5401	217	61	in	in	ADP
ejpam-5401	217	62	τpc	τpc	NOUN
ejpam-5401	217	63	belongs	belong	VERB
ejpam-5401	217	64	to	to	ADP
ejpam-5401	217	65	τpc	τpc	NOUN
ejpam-5401	217	66	,	,	PUNCT
ejpam-5401	217	67	(	(	PUNCT
ejpam-5401	217	68	iii	iii	X
ejpam-5401	217	69	)	)	PUNCT
ejpam-5401	217	70	the	the	DET
ejpam-5401	217	71	union	union	NOUN
ejpam-5401	217	72	of	of	ADP
ejpam-5401	217	73	any	any	DET
ejpam-5401	217	74	number	number	NOUN
ejpam-5401	217	75	of	of	ADP
ejpam-5401	217	76	pchs	pchs	ADJ
ejpam-5401	217	77	sets	set	NOUN
ejpam-5401	217	78	in	in	ADP
ejpam-5401	217	79	τpc	τpc	NOUN
ejpam-5401	217	80	belongs	belong	VERB
ejpam-5401	217	81	to	to	ADP
ejpam-5401	217	82	τpc	τpc	NOUN
ejpam-5401	217	83	.	.	PUNCT
ejpam-5401	218	1	n.	n.	PROPN
ejpam-5401	218	2	k.	k.	PROPN
ejpam-5401	218	3	ahmed	ahmed	PROPN
ejpam-5401	218	4	,	,	PUNCT
ejpam-5401	218	5	o.	o.	PROPN
ejpam-5401	218	6	t.	t.	PROPN
ejpam-5401	218	7	pirbal	pirbal	PROPN
ejpam-5401	218	8	/	/	SYM
ejpam-5401	218	9	eur	eur	PROPN
ejpam-5401	218	10	.	.	PUNCT
ejpam-5401	219	1	j.	j.	PROPN
ejpam-5401	219	2	pure	pure	PROPN
ejpam-5401	219	3	appl	appl	PROPN
ejpam-5401	219	4	.	.	PROPN
ejpam-5401	219	5	math	math	PROPN
ejpam-5401	219	6	,	,	PUNCT
ejpam-5401	219	7	17	17	NUM
ejpam-5401	219	8	(	(	PUNCT
ejpam-5401	219	9	4	4	NUM
ejpam-5401	219	10	)	)	PUNCT
ejpam-5401	219	11	(	(	PUNCT
ejpam-5401	219	12	2024	2024	NUM
ejpam-5401	219	13	)	)	PUNCT
ejpam-5401	219	14	,	,	PUNCT
ejpam-5401	219	15	3043	3043	NUM
ejpam-5401	219	16	-	-	SYM
ejpam-5401	219	17	3060	3060	NUM
ejpam-5401	219	18	3049	3049	NUM
ejpam-5401	219	19	then	then	ADV
ejpam-5401	219	20	(	(	PUNCT
ejpam-5401	219	21	up	up	ADP
ejpam-5401	219	22	,	,	PUNCT
ejpam-5401	219	23	τpc	τpc	NOUN
ejpam-5401	219	24	,	,	PUNCT
ejpam-5401	219	25	vψ	vψ	AUX
ejpam-5401	219	26	)	)	PUNCT
ejpam-5401	219	27	is	be	AUX
ejpam-5401	219	28	called	call	VERB
ejpam-5401	219	29	a	a	DET
ejpam-5401	219	30	plithogenic	plithogenic	ADJ
ejpam-5401	219	31	crisp	crisp	ADJ
ejpam-5401	219	32	hypersoft	hypersoft	NOUN
ejpam-5401	219	33	topological	topological	ADJ
ejpam-5401	219	34	(	(	PUNCT
ejpam-5401	219	35	in	in	ADP
ejpam-5401	219	36	short	short	ADJ
ejpam-5401	219	37	,	,	PUNCT
ejpam-5401	219	38	pchst	pchst	ADJ
ejpam-5401	219	39	)	)	PUNCT
ejpam-5401	219	40	space	space	NOUN
ejpam-5401	219	41	over	over	ADP
ejpam-5401	219	42	up	up	ADV
ejpam-5401	219	43	.	.	PUNCT
ejpam-5401	220	1	also	also	ADV
ejpam-5401	220	2	,	,	PUNCT
ejpam-5401	220	3	the	the	DET
ejpam-5401	220	4	members	member	NOUN
ejpam-5401	220	5	of	of	ADP
ejpam-5401	220	6	(	(	PUNCT
ejpam-5401	220	7	up	up	ADP
ejpam-5401	220	8	,	,	PUNCT
ejpam-5401	220	9	τpc	τpc	NOUN
ejpam-5401	220	10	,	,	PUNCT
ejpam-5401	220	11	vψ	vψ	X
ejpam-5401	220	12	)	)	PUNCT
ejpam-5401	220	13	are	be	AUX
ejpam-5401	220	14	said	say	VERB
ejpam-5401	220	15	to	to	PART
ejpam-5401	220	16	be	be	AUX
ejpam-5401	220	17	plithogenic	plithogenic	ADJ
ejpam-5401	220	18	crisp	crisp	ADJ
ejpam-5401	220	19	hypersoft	hypersoft	NOUN
ejpam-5401	220	20	(	(	PUNCT
ejpam-5401	220	21	in	in	ADP
ejpam-5401	220	22	short	short	ADJ
ejpam-5401	220	23	,	,	PUNCT
ejpam-5401	220	24	pchs	pchs	ADJ
ejpam-5401	220	25	)	)	PUNCT
ejpam-5401	220	26	open	open	ADJ
ejpam-5401	220	27	sets	set	NOUN
ejpam-5401	220	28	over	over	ADP
ejpam-5401	220	29	up	up	ADV
ejpam-5401	220	30	.	.	PUNCT
ejpam-5401	221	1	definition	definition	NOUN
ejpam-5401	221	2	25	25	NUM
ejpam-5401	221	3	.	.	PUNCT
ejpam-5401	222	1	in	in	ADP
ejpam-5401	222	2	a	a	DET
ejpam-5401	222	3	pchst	pchst	ADJ
ejpam-5401	222	4	space	space	NOUN
ejpam-5401	222	5	(	(	PUNCT
ejpam-5401	222	6	up	up	ADP
ejpam-5401	222	7	,	,	PUNCT
ejpam-5401	222	8	τpc	τpc	NOUN
ejpam-5401	222	9	,	,	PUNCT
ejpam-5401	222	10	vψ	vψ	X
ejpam-5401	222	11	)	)	PUNCT
ejpam-5401	222	12	a	a	DET
ejpam-5401	222	13	pchs	pch	NOUN
ejpam-5401	222	14	set	set	NOUN
ejpam-5401	222	15	(	(	PUNCT
ejpam-5401	222	16	γ	γ	X
ejpam-5401	222	17	,	,	PUNCT
ejpam-5401	222	18	c	c	NOUN
ejpam-5401	222	19	,	,	PUNCT
ejpam-5401	222	20	v	v	NOUN
ejpam-5401	222	21	ψ	ψ	NOUN
ejpam-5401	222	22	)	)	PUNCT
ejpam-5401	222	23	pc	pc	NOUN
ejpam-5401	222	24	over	over	ADP
ejpam-5401	222	25	up	up	ADP
ejpam-5401	222	26	is	be	AUX
ejpam-5401	222	27	said	say	VERB
ejpam-5401	222	28	to	to	PART
ejpam-5401	222	29	be	be	AUX
ejpam-5401	222	30	plithogenic	plithogenic	ADJ
ejpam-5401	222	31	crisp	crisp	ADJ
ejpam-5401	222	32	hypersoft	hypersoft	NOUN
ejpam-5401	222	33	(	(	PUNCT
ejpam-5401	222	34	in	in	ADP
ejpam-5401	222	35	short	short	ADJ
ejpam-5401	222	36	,	,	PUNCT
ejpam-5401	222	37	pchs	pchs	ADJ
ejpam-5401	222	38	)	)	PUNCT
ejpam-5401	222	39	closed	close	VERB
ejpam-5401	222	40	set	set	VERB
ejpam-5401	222	41	if	if	SCONJ
ejpam-5401	222	42	its	its	PRON
ejpam-5401	222	43	complement	complement	NOUN
ejpam-5401	222	44	belongs	belong	VERB
ejpam-5401	222	45	to	to	ADP
ejpam-5401	222	46	τpc	τpc	NOUN
ejpam-5401	222	47	.	.	PUNCT
ejpam-5401	223	1	example	example	NOUN
ejpam-5401	224	1	1	1	NUM
ejpam-5401	224	2	.	.	PUNCT
ejpam-5401	224	3	let	let	VERB
ejpam-5401	224	4	up	up	ADP
ejpam-5401	224	5	=	=	PUNCT
ejpam-5401	224	6	{	{	PUNCT
ejpam-5401	224	7	x1	x1	PROPN
ejpam-5401	224	8	,	,	PUNCT
ejpam-5401	224	9	x2	x2	PROPN
ejpam-5401	224	10	,	,	PUNCT
ejpam-5401	224	11	x3	x3	ADJ
ejpam-5401	224	12	,	,	PUNCT
ejpam-5401	224	13	x4	x4	PROPN
ejpam-5401	224	14	}	}	PUNCT
ejpam-5401	224	15	,	,	PUNCT
ejpam-5401	224	16	e1	e1	NOUN
ejpam-5401	224	17	=	=	SYM
ejpam-5401	224	18	{	{	PUNCT
ejpam-5401	224	19	e1	e1	PROPN
ejpam-5401	224	20	,	,	PUNCT
ejpam-5401	224	21	e2	e2	PROPN
ejpam-5401	224	22	}	}	PUNCT
ejpam-5401	224	23	,	,	PUNCT
ejpam-5401	224	24	e2	e2	PROPN
ejpam-5401	224	25	=	=	PUNCT
ejpam-5401	224	26	{	{	PUNCT
ejpam-5401	224	27	e3	e3	NOUN
ejpam-5401	224	28	}	}	PUNCT
ejpam-5401	224	29	,	,	PUNCT
ejpam-5401	224	30	e3	e3	NOUN
ejpam-5401	224	31	=	=	SYM
ejpam-5401	224	32	{	{	PUNCT
ejpam-5401	224	33	e4	e4	PROPN
ejpam-5401	224	34	}	}	PUNCT
ejpam-5401	224	35	.	.	PUNCT
ejpam-5401	225	1	let	let	VERB
ejpam-5401	225	2	vψ	vψ	VERB
ejpam-5401	225	3	=	=	VERB
ejpam-5401	225	4	e1×e2×e3	e1×e2×e3	X
ejpam-5401	225	5	and	and	CCONJ
ejpam-5401	225	6	(	(	PUNCT
ejpam-5401	225	7	α	α	NOUN
ejpam-5401	225	8	)	)	PUNCT
ejpam-5401	225	9	=	=	SYM
ejpam-5401	225	10	(	(	PUNCT
ejpam-5401	225	11	e1	e1	PROPN
ejpam-5401	225	12	,	,	PUNCT
ejpam-5401	225	13	e3	e3	NOUN
ejpam-5401	225	14	,	,	PUNCT
ejpam-5401	225	15	e4	e4	PROPN
ejpam-5401	225	16	)	)	PUNCT
ejpam-5401	225	17	and	and	CCONJ
ejpam-5401	225	18	(	(	PUNCT
ejpam-5401	225	19	β	β	NOUN
ejpam-5401	225	20	)	)	PUNCT
ejpam-5401	226	1	=	=	SYM
ejpam-5401	226	2	(	(	PUNCT
ejpam-5401	226	3	e2	e2	PROPN
ejpam-5401	226	4	,	,	PUNCT
ejpam-5401	226	5	e3	e3	NOUN
ejpam-5401	226	6	,	,	PUNCT
ejpam-5401	226	7	e4	e4	PROPN
ejpam-5401	226	8	)	)	PUNCT
ejpam-5401	226	9	.	.	PUNCT
ejpam-5401	227	1	define	define	VERB
ejpam-5401	227	2	the	the	DET
ejpam-5401	227	3	following	follow	VERB
ejpam-5401	227	4	pchs	pchs	ADJ
ejpam-5401	227	5	sets	set	NOUN
ejpam-5401	227	6	:	:	PUNCT
ejpam-5401	227	7	(	(	PUNCT
ejpam-5401	227	8	γ1	γ1	PROPN
ejpam-5401	227	9	,	,	PUNCT
ejpam-5401	227	10	c1	c1	PROPN
ejpam-5401	227	11	,	,	PUNCT
ejpam-5401	227	12	vψ)pc	vψ)pc	X
ejpam-5401	227	13	=	=	PUNCT
ejpam-5401	227	14	{	{	PUNCT
ejpam-5401	227	15	<	<	X
ejpam-5401	227	16	(	(	PUNCT
ejpam-5401	227	17	α	α	NOUN
ejpam-5401	227	18	)	)	PUNCT
ejpam-5401	227	19	,	,	PUNCT
ejpam-5401	227	20	{	{	PUNCT
ejpam-5401	227	21	x1	x1	NOUN
ejpam-5401	227	22	(	(	PUNCT
ejpam-5401	227	23	1	1	NUM
ejpam-5401	227	24	,	,	PUNCT
ejpam-5401	227	25	0	0	NUM
ejpam-5401	227	26	,	,	PUNCT
ejpam-5401	227	27	1	1	NUM
ejpam-5401	227	28	)	)	PUNCT
ejpam-5401	227	29	}	}	PUNCT
ejpam-5401	227	30	>	>	PUNCT
ejpam-5401	227	31	,	,	PUNCT
ejpam-5401	227	32	<	<	X
ejpam-5401	227	33	(	(	PUNCT
ejpam-5401	227	34	β	β	NOUN
ejpam-5401	227	35	)	)	PUNCT
ejpam-5401	227	36	,	,	PUNCT
ejpam-5401	227	37	{	{	PUNCT
ejpam-5401	227	38	x2	x2	X
ejpam-5401	227	39	(	(	PUNCT
ejpam-5401	227	40	1	1	NUM
ejpam-5401	227	41	,	,	PUNCT
ejpam-5401	227	42	0	0	NUM
ejpam-5401	227	43	,	,	PUNCT
ejpam-5401	227	44	1	1	NUM
ejpam-5401	227	45	)	)	PUNCT
ejpam-5401	227	46	}	}	PUNCT
ejpam-5401	227	47	>	>	PUNCT
ejpam-5401	227	48	}	}	PUNCT
ejpam-5401	227	49	(	(	PUNCT
ejpam-5401	227	50	γ2	γ2	PROPN
ejpam-5401	227	51	,	,	PUNCT
ejpam-5401	227	52	c2	c2	PROPN
ejpam-5401	227	53	,	,	PUNCT
ejpam-5401	227	54	vψ)pc	vψ)pc	X
ejpam-5401	227	55	=	=	PUNCT
ejpam-5401	227	56	{	{	PUNCT
ejpam-5401	227	57	<	<	X
ejpam-5401	227	58	(	(	PUNCT
ejpam-5401	227	59	α	α	NOUN
ejpam-5401	227	60	)	)	PUNCT
ejpam-5401	227	61	,	,	PUNCT
ejpam-5401	227	62	{	{	PUNCT
ejpam-5401	227	63	x1	x1	NOUN
ejpam-5401	227	64	(	(	PUNCT
ejpam-5401	227	65	1	1	NUM
ejpam-5401	227	66	,	,	PUNCT
ejpam-5401	227	67	0	0	NUM
ejpam-5401	227	68	,	,	PUNCT
ejpam-5401	227	69	1	1	NUM
ejpam-5401	227	70	)	)	PUNCT
ejpam-5401	227	71	}	}	PUNCT
ejpam-5401	227	72	>	>	PUNCT
ejpam-5401	227	73	,	,	PUNCT
ejpam-5401	227	74	<	<	X
ejpam-5401	227	75	(	(	PUNCT
ejpam-5401	227	76	β	β	X
ejpam-5401	227	77	)	)	PUNCT
ejpam-5401	227	78	,	,	PUNCT
ejpam-5401	227	79	1pc	1pc	ADJ
ejpam-5401	227	80	>	>	PUNCT
ejpam-5401	227	81	}	}	PUNCT
ejpam-5401	227	82	(	(	PUNCT
ejpam-5401	227	83	γ3	γ3	NOUN
ejpam-5401	227	84	,	,	PUNCT
ejpam-5401	227	85	c3	c3	PROPN
ejpam-5401	227	86	,	,	PUNCT
ejpam-5401	227	87	vψ)pc	vψ)pc	X
ejpam-5401	227	88	=	=	PUNCT
ejpam-5401	227	89	{	{	PUNCT
ejpam-5401	227	90	<	<	X
ejpam-5401	227	91	(	(	PUNCT
ejpam-5401	227	92	α	α	NOUN
ejpam-5401	227	93	)	)	PUNCT
ejpam-5401	227	94	,	,	PUNCT
ejpam-5401	227	95	1pc	1pc	ADJ
ejpam-5401	227	96	>	>	PUNCT
ejpam-5401	227	97	,	,	PUNCT
ejpam-5401	227	98	<	<	X
ejpam-5401	227	99	(	(	PUNCT
ejpam-5401	227	100	β	β	NOUN
ejpam-5401	227	101	)	)	PUNCT
ejpam-5401	227	102	,	,	PUNCT
ejpam-5401	227	103	{	{	PUNCT
ejpam-5401	227	104	x2	x2	X
ejpam-5401	227	105	(	(	PUNCT
ejpam-5401	227	106	1	1	NUM
ejpam-5401	227	107	,	,	PUNCT
ejpam-5401	227	108	0	0	NUM
ejpam-5401	227	109	,	,	PUNCT
ejpam-5401	227	110	1	1	NUM
ejpam-5401	227	111	)	)	PUNCT
ejpam-5401	227	112	}	}	PUNCT
ejpam-5401	227	113	>	>	PUNCT
ejpam-5401	227	114	}	}	PUNCT
ejpam-5401	227	115	.	.	PUNCT
ejpam-5401	228	1	then	then	ADV
ejpam-5401	228	2	the	the	DET
ejpam-5401	228	3	collection	collection	NOUN
ejpam-5401	228	4	:	:	PUNCT
ejpam-5401	228	5	τpc	τpc	NOUN
ejpam-5401	228	6	=	=	SYM
ejpam-5401	228	7	{	{	PUNCT
ejpam-5401	228	8	(	(	PUNCT
ejpam-5401	228	9	φ	φ	PROPN
ejpam-5401	228	10	,	,	PUNCT
ejpam-5401	228	11	c	c	X
ejpam-5401	228	12	,	,	PUNCT
ejpam-5401	228	13	vψ)pc	vψ)pc	X
ejpam-5401	228	14	,	,	PUNCT
ejpam-5401	228	15	(	(	PUNCT
ejpam-5401	228	16	γ1	γ1	PROPN
ejpam-5401	228	17	,	,	PUNCT
ejpam-5401	228	18	c1	c1	PROPN
ejpam-5401	228	19	,	,	PUNCT
ejpam-5401	228	20	vψ)pc	vψ)pc	X
ejpam-5401	228	21	,	,	PUNCT
ejpam-5401	228	22	(	(	PUNCT
ejpam-5401	228	23	γ2	γ2	PROPN
ejpam-5401	228	24	,	,	PUNCT
ejpam-5401	228	25	c2	c2	PROPN
ejpam-5401	228	26	,	,	PUNCT
ejpam-5401	228	27	vψ)pc	vψ)pc	X
ejpam-5401	228	28	,	,	PUNCT
ejpam-5401	228	29	(	(	PUNCT
ejpam-5401	228	30	γ3	γ3	NOUN
ejpam-5401	228	31	,	,	PUNCT
ejpam-5401	228	32	c3	c3	PROPN
ejpam-5401	228	33	,	,	PUNCT
ejpam-5401	228	34	vψ)pc	vψ)pc	X
ejpam-5401	228	35	,	,	PUNCT
ejpam-5401	228	36	(	(	PUNCT
ejpam-5401	228	37	ψ	ψ	X
ejpam-5401	228	38	,	,	PUNCT
ejpam-5401	228	39	c	c	NOUN
ejpam-5401	228	40	,	,	PUNCT
ejpam-5401	228	41	vψ)pc	vψ)pc	NOUN
ejpam-5401	228	42	}	}	PUNCT
ejpam-5401	228	43	forms	form	VERB
ejpam-5401	228	44	a	a	DET
ejpam-5401	228	45	pchs	pchs	ADJ
ejpam-5401	228	46	topology	topology	NOUN
ejpam-5401	228	47	over	over	ADP
ejpam-5401	228	48	up	up	ADV
ejpam-5401	228	49	.	.	PUNCT
ejpam-5401	229	1	remark	remark	NOUN
ejpam-5401	229	2	2	2	NUM
ejpam-5401	229	3	.	.	PUNCT
ejpam-5401	230	1	let	let	VERB
ejpam-5401	230	2	(	(	PUNCT
ejpam-5401	230	3	up	up	ADP
ejpam-5401	230	4	,	,	PUNCT
ejpam-5401	230	5	τpc	τpc	NOUN
ejpam-5401	230	6	,	,	PUNCT
ejpam-5401	230	7	vψ	vψ	AUX
ejpam-5401	230	8	)	)	PUNCT
ejpam-5401	230	9	be	be	AUX
ejpam-5401	230	10	a	a	DET
ejpam-5401	230	11	pchst	pchst	ADJ
ejpam-5401	230	12	space	space	NOUN
ejpam-5401	230	13	over	over	ADP
ejpam-5401	230	14	up	up	ADV
ejpam-5401	230	15	.	.	PUNCT
ejpam-5401	231	1	then	then	ADV
ejpam-5401	231	2	the	the	DET
ejpam-5401	231	3	following	follow	VERB
ejpam-5401	231	4	holds	hold	VERB
ejpam-5401	231	5	:	:	PUNCT
ejpam-5401	231	6	(	(	PUNCT
ejpam-5401	231	7	i	i	NOUN
ejpam-5401	231	8	)	)	PUNCT
ejpam-5401	231	9	(	(	PUNCT
ejpam-5401	231	10	φ	φ	PROPN
ejpam-5401	231	11	,	,	PUNCT
ejpam-5401	231	12	c	c	NOUN
ejpam-5401	231	13	,	,	PUNCT
ejpam-5401	231	14	v	v	X
ejpam-5401	231	15	ψ)pc	ψ)pc	PROPN
ejpam-5401	231	16	,	,	PUNCT
ejpam-5401	231	17	(	(	PUNCT
ejpam-5401	231	18	ψ	ψ	X
ejpam-5401	231	19	,	,	PUNCT
ejpam-5401	231	20	c	c	NOUN
ejpam-5401	231	21	,	,	PUNCT
ejpam-5401	231	22	v	v	X
ejpam-5401	231	23	ψ)pc	ψ)pc	PROPN
ejpam-5401	231	24	are	be	AUX
ejpam-5401	231	25	pchs	pch	NOUN
ejpam-5401	231	26	closed	closed	ADJ
ejpam-5401	231	27	sets	set	NOUN
ejpam-5401	231	28	over	over	ADP
ejpam-5401	231	29	up	up	ADV
ejpam-5401	231	30	.	.	PUNCT
ejpam-5401	232	1	(	(	PUNCT
ejpam-5401	232	2	ii	ii	X
ejpam-5401	232	3	)	)	PUNCT
ejpam-5401	232	4	the	the	DET
ejpam-5401	232	5	intersection	intersection	NOUN
ejpam-5401	232	6	of	of	ADP
ejpam-5401	232	7	any	any	DET
ejpam-5401	232	8	number	number	NOUN
ejpam-5401	232	9	of	of	ADP
ejpam-5401	232	10	pchs	pch	NOUN
ejpam-5401	232	11	closed	closed	ADJ
ejpam-5401	232	12	sets	set	NOUN
ejpam-5401	232	13	is	be	AUX
ejpam-5401	232	14	pchs	pch	NOUN
ejpam-5401	232	15	closed	close	VERB
ejpam-5401	232	16	set	set	VERB
ejpam-5401	232	17	over	over	ADP
ejpam-5401	232	18	up	up	ADP
ejpam-5401	232	19	.	.	PUNCT
ejpam-5401	233	1	(	(	PUNCT
ejpam-5401	233	2	iii	iii	X
ejpam-5401	233	3	)	)	PUNCT
ejpam-5401	233	4	the	the	DET
ejpam-5401	233	5	union	union	NOUN
ejpam-5401	233	6	of	of	ADP
ejpam-5401	233	7	any	any	DET
ejpam-5401	233	8	two	two	NUM
ejpam-5401	233	9	number	number	NOUN
ejpam-5401	233	10	of	of	ADP
ejpam-5401	233	11	pchs	pch	NOUN
ejpam-5401	233	12	closed	closed	ADJ
ejpam-5401	233	13	sets	set	NOUN
ejpam-5401	233	14	is	be	AUX
ejpam-5401	233	15	pchs	pch	NOUN
ejpam-5401	233	16	closed	close	VERB
ejpam-5401	233	17	set	set	VERB
ejpam-5401	233	18	over	over	ADP
ejpam-5401	233	19	up	up	ADP
ejpam-5401	233	20	.	.	PUNCT
ejpam-5401	234	1	definition	definition	NOUN
ejpam-5401	234	2	26	26	NUM
ejpam-5401	234	3	.	.	PUNCT
ejpam-5401	235	1	let	let	VERB
ejpam-5401	235	2	up	up	ADP
ejpam-5401	235	3	be	be	AUX
ejpam-5401	235	4	the	the	DET
ejpam-5401	235	5	plithogenic	plithogenic	ADJ
ejpam-5401	235	6	crisp	crisp	ADJ
ejpam-5401	235	7	universal	universal	ADJ
ejpam-5401	235	8	set	set	NOUN
ejpam-5401	235	9	.	.	PUNCT
ejpam-5401	236	1	then	then	ADV
ejpam-5401	236	2	(	(	PUNCT
ejpam-5401	236	3	i	i	NOUN
ejpam-5401	236	4	)	)	PUNCT
ejpam-5401	236	5	τ	τ	PROPN
ejpam-5401	236	6	ipc	ipc	PROPN
ejpam-5401	236	7	=	=	X
ejpam-5401	236	8	{	{	PUNCT
ejpam-5401	236	9	(	(	PUNCT
ejpam-5401	236	10	φ	φ	PROPN
ejpam-5401	236	11	,	,	PUNCT
ejpam-5401	236	12	c	c	X
ejpam-5401	236	13	,	,	PUNCT
ejpam-5401	236	14	vψ)pc	vψ)pc	X
ejpam-5401	236	15	,	,	PUNCT
ejpam-5401	236	16	(	(	PUNCT
ejpam-5401	236	17	ψ	ψ	X
ejpam-5401	236	18	,	,	PUNCT
ejpam-5401	236	19	c	c	X
ejpam-5401	236	20	,	,	PUNCT
ejpam-5401	236	21	vψ)pc	vψ)pc	PROPN
ejpam-5401	236	22	}	}	PUNCT
ejpam-5401	236	23	is	be	AUX
ejpam-5401	236	24	called	call	VERB
ejpam-5401	236	25	plithogenic	plithogenic	ADJ
ejpam-5401	236	26	crisp	crisp	ADJ
ejpam-5401	236	27	hypersoft	hypersoft	NOUN
ejpam-5401	236	28	indiscrete	indiscrete	ADJ
ejpam-5401	236	29	(	(	PUNCT
ejpam-5401	236	30	in	in	ADP
ejpam-5401	236	31	short	short	ADJ
ejpam-5401	236	32	,	,	PUNCT
ejpam-5401	236	33	pchsi	pchsi	NOUN
ejpam-5401	236	34	)	)	PUNCT
ejpam-5401	236	35	topology	topology	NOUN
ejpam-5401	236	36	over	over	ADP
ejpam-5401	236	37	up	up	ADP
ejpam-5401	236	38	and	and	CCONJ
ejpam-5401	236	39	(	(	PUNCT
ejpam-5401	236	40	γ	γ	PROPN
ejpam-5401	236	41	,	,	PUNCT
ejpam-5401	236	42	τ	τ	PROPN
ejpam-5401	236	43	ipc	ipc	PROPN
ejpam-5401	236	44	,	,	PUNCT
ejpam-5401	236	45	vψ	vψ	PROPN
ejpam-5401	236	46	)	)	PUNCT
ejpam-5401	236	47	is	be	AUX
ejpam-5401	236	48	called	call	VERB
ejpam-5401	236	49	plithogenic	plithogenic	ADJ
ejpam-5401	236	50	crisp	crisp	ADJ
ejpam-5401	236	51	hypersoft	hypersoft	NOUN
ejpam-5401	236	52	indiscrete	indiscrete	ADJ
ejpam-5401	236	53	topological	topological	NOUN
ejpam-5401	236	54	(	(	PUNCT
ejpam-5401	236	55	in	in	ADP
ejpam-5401	236	56	short	short	ADJ
ejpam-5401	236	57	,	,	PUNCT
ejpam-5401	236	58	pchsit	pchsit	ADJ
ejpam-5401	236	59	)	)	PUNCT
ejpam-5401	236	60	space	space	NOUN
ejpam-5401	236	61	over	over	ADP
ejpam-5401	236	62	up	up	ADV
ejpam-5401	236	63	.	.	PUNCT
ejpam-5401	237	1	(	(	PUNCT
ejpam-5401	237	2	ii	ii	NOUN
ejpam-5401	237	3	)	)	PUNCT
ejpam-5401	237	4	τdpc	τdpc	NOUN
ejpam-5401	237	5	=	=	SYM
ejpam-5401	237	6	ppc(up	ppc(up	NOUN
ejpam-5401	237	7	)	)	PUNCT
ejpam-5401	237	8	is	be	AUX
ejpam-5401	237	9	called	call	VERB
ejpam-5401	237	10	plithogenic	plithogenic	ADJ
ejpam-5401	237	11	crisp	crisp	ADJ
ejpam-5401	237	12	hypersoft	hypersoft	NOUN
ejpam-5401	237	13	discrete	discrete	ADJ
ejpam-5401	237	14	(	(	PUNCT
ejpam-5401	237	15	in	in	ADP
ejpam-5401	237	16	short	short	ADJ
ejpam-5401	237	17	,	,	PUNCT
ejpam-5401	237	18	pchsd	pchsd	ADJ
ejpam-5401	237	19	)	)	PUNCT
ejpam-5401	237	20	topology	topology	NOUN
ejpam-5401	237	21	over	over	ADP
ejpam-5401	237	22	up	up	ADP
ejpam-5401	237	23	and	and	CCONJ
ejpam-5401	237	24	(	(	PUNCT
ejpam-5401	237	25	γ	γ	X
ejpam-5401	237	26	,	,	PUNCT
ejpam-5401	237	27	τdpc	τdpc	NOUN
ejpam-5401	237	28	,	,	PUNCT
ejpam-5401	237	29	vψ	vψ	ADP
ejpam-5401	237	30	)	)	PUNCT
ejpam-5401	237	31	is	be	AUX
ejpam-5401	237	32	called	call	VERB
ejpam-5401	237	33	plithogenic	plithogenic	ADJ
ejpam-5401	237	34	crisp	crisp	ADJ
ejpam-5401	237	35	hypersoft	hypersoft	NOUN
ejpam-5401	237	36	discrete	discrete	ADJ
ejpam-5401	237	37	(	(	PUNCT
ejpam-5401	237	38	in	in	ADP
ejpam-5401	237	39	short	short	ADJ
ejpam-5401	237	40	,	,	PUNCT
ejpam-5401	237	41	pchsdt	pchsdt	NOUN
ejpam-5401	237	42	)	)	PUNCT
ejpam-5401	237	43	topological	topological	ADJ
ejpam-5401	237	44	space	space	NOUN
ejpam-5401	237	45	over	over	ADP
ejpam-5401	237	46	up	up	ADV
ejpam-5401	237	47	.	.	PUNCT
ejpam-5401	238	1	definition	definition	NOUN
ejpam-5401	238	2	27	27	NUM
ejpam-5401	238	3	.	.	PUNCT
ejpam-5401	239	1	let	let	AUX
ejpam-5401	239	2	(	(	PUNCT
ejpam-5401	239	3	γ	γ	X
ejpam-5401	239	4	,	,	PUNCT
ejpam-5401	239	5	τpc1	τpc1	NOUN
ejpam-5401	239	6	,	,	PUNCT
ejpam-5401	239	7	vψ	vψ	PROPN
ejpam-5401	239	8	)	)	PUNCT
ejpam-5401	239	9	and	and	CCONJ
ejpam-5401	239	10	(	(	PUNCT
ejpam-5401	239	11	γ	γ	PROPN
ejpam-5401	239	12	,	,	PUNCT
ejpam-5401	239	13	τpc2	τpc2	NOUN
ejpam-5401	239	14	,	,	PUNCT
ejpam-5401	239	15	vψ	vψ	VERB
ejpam-5401	239	16	)	)	PUNCT
ejpam-5401	239	17	be	be	AUX
ejpam-5401	239	18	two	two	NUM
ejpam-5401	239	19	pchst	pchst	NOUN
ejpam-5401	239	20	spaces	space	NOUN
ejpam-5401	239	21	over	over	ADP
ejpam-5401	239	22	up	up	ADV
ejpam-5401	239	23	.	.	PUNCT
ejpam-5401	240	1	if	if	SCONJ
ejpam-5401	240	2	τpc1	τpc1	PROPN
ejpam-5401	240	3	≍	≍	VERB
ejpam-5401	240	4	⊑	⊑	PRON
ejpam-5401	240	5	τpc2	τpc2	PROPN
ejpam-5401	240	6	,	,	PUNCT
ejpam-5401	240	7	then	then	ADV
ejpam-5401	240	8	τpc2	τpc2	PROPN
ejpam-5401	240	9	is	be	AUX
ejpam-5401	240	10	said	say	VERB
ejpam-5401	240	11	to	to	PART
ejpam-5401	240	12	be	be	AUX
ejpam-5401	240	13	finer	fine	ADJ
ejpam-5401	240	14	than	than	ADP
ejpam-5401	240	15	τpc1	τpc1	PROPN
ejpam-5401	240	16	.	.	PUNCT
ejpam-5401	241	1	if	if	SCONJ
ejpam-5401	241	2	τpc2	τpc2	PROPN
ejpam-5401	241	3	≍	≍	PROPN
ejpam-5401	241	4	⊑	⊑	DET
ejpam-5401	241	5	τpc1	τpc1	PROPN
ejpam-5401	241	6	,	,	PUNCT
ejpam-5401	241	7	then	then	ADV
ejpam-5401	241	8	τpc1	τpc1	PROPN
ejpam-5401	241	9	is	be	AUX
ejpam-5401	241	10	said	say	VERB
ejpam-5401	241	11	to	to	PART
ejpam-5401	241	12	be	be	AUX
ejpam-5401	241	13	finer	fine	ADJ
ejpam-5401	241	14	than	than	ADP
ejpam-5401	241	15	τpc2	τpc2	NOUN
ejpam-5401	241	16	.	.	PUNCT
ejpam-5401	242	1	if	if	SCONJ
ejpam-5401	242	2	τpc1	τpc1	PROPN
ejpam-5401	242	3	≍	≍	VERB
ejpam-5401	242	4	⊑	⊑	DET
ejpam-5401	242	5	τpc2	τpc2	NOUN
ejpam-5401	242	6	or	or	CCONJ
ejpam-5401	242	7	τpc2	τpc2	PROPN
ejpam-5401	242	8	≍	≍	PROPN
ejpam-5401	242	9	⊑	⊑	DET
ejpam-5401	242	10	τpc1	τpc1	PROPN
ejpam-5401	242	11	,	,	PUNCT
ejpam-5401	242	12	then	then	ADV
ejpam-5401	242	13	τpc1	τpc1	PROPN
ejpam-5401	242	14	and	and	CCONJ
ejpam-5401	242	15	τpc2	τpc2	NOUN
ejpam-5401	242	16	are	be	AUX
ejpam-5401	242	17	said	say	VERB
ejpam-5401	242	18	to	to	PART
ejpam-5401	242	19	be	be	AUX
ejpam-5401	242	20	comparable	comparable	ADJ
ejpam-5401	242	21	pchs	pchs	ADJ
ejpam-5401	242	22	topologies	topology	NOUN
ejpam-5401	242	23	over	over	ADV
ejpam-5401	242	24	up	up	ADV
ejpam-5401	242	25	.	.	PUNCT
ejpam-5401	243	1	proposition	proposition	NOUN
ejpam-5401	243	2	3	3	X
ejpam-5401	243	3	.	.	PUNCT
ejpam-5401	244	1	let	let	VERB
ejpam-5401	244	2	(	(	PUNCT
ejpam-5401	244	3	γ	γ	X
ejpam-5401	244	4	,	,	PUNCT
ejpam-5401	244	5	τpc	τpc	NOUN
ejpam-5401	244	6	,	,	PUNCT
ejpam-5401	244	7	vψ	vψ	PROPN
ejpam-5401	244	8	)	)	PUNCT
ejpam-5401	244	9	and	and	CCONJ
ejpam-5401	244	10	(	(	PUNCT
ejpam-5401	244	11	γ	γ	X
ejpam-5401	244	12	,	,	PUNCT
ejpam-5401	244	13	τ∗pc	τ∗pc	NOUN
ejpam-5401	244	14	,	,	PUNCT
ejpam-5401	244	15	vψ	vψ	AUX
ejpam-5401	244	16	)	)	PUNCT
ejpam-5401	244	17	be	be	AUX
ejpam-5401	244	18	two	two	NUM
ejpam-5401	244	19	pchst	pchst	NOUN
ejpam-5401	244	20	spaces	space	NOUN
ejpam-5401	244	21	over	over	ADP
ejpam-5401	244	22	up	up	ADP
ejpam-5401	244	23	,	,	PUNCT
ejpam-5401	244	24	then	then	ADV
ejpam-5401	244	25	(	(	PUNCT
ejpam-5401	244	26	γ	γ	PROPN
ejpam-5401	244	27	,	,	PUNCT
ejpam-5401	244	28	τpc	τpc	NOUN
ejpam-5401	244	29	≍	≍	PROPN
ejpam-5401	244	30	⊓	⊓	PROPN
ejpam-5401	244	31	τ∗pc	τ∗pc	NOUN
ejpam-5401	244	32	,	,	PUNCT
ejpam-5401	244	33	vψ	vψ	PROPN
ejpam-5401	244	34	)	)	PUNCT
ejpam-5401	244	35	is	be	AUX
ejpam-5401	244	36	a	a	DET
ejpam-5401	244	37	pchs	pchs	ADJ
ejpam-5401	244	38	topological	topological	ADJ
ejpam-5401	244	39	space	space	NOUN
ejpam-5401	244	40	over	over	ADP
ejpam-5401	244	41	up	up	ADV
ejpam-5401	244	42	.	.	PUNCT
ejpam-5401	245	1	proof	proof	NOUN
ejpam-5401	245	2	.	.	PUNCT
ejpam-5401	246	1	n.	n.	PROPN
ejpam-5401	246	2	k.	k.	PROPN
ejpam-5401	246	3	ahmed	ahmed	PROPN
ejpam-5401	246	4	,	,	PUNCT
ejpam-5401	246	5	o.	o.	PROPN
ejpam-5401	246	6	t.	t.	PROPN
ejpam-5401	246	7	pirbal	pirbal	PROPN
ejpam-5401	246	8	/	/	SYM
ejpam-5401	246	9	eur	eur	PROPN
ejpam-5401	246	10	.	.	PUNCT
ejpam-5401	247	1	j.	j.	PROPN
ejpam-5401	247	2	pure	pure	PROPN
ejpam-5401	247	3	appl	appl	PROPN
ejpam-5401	247	4	.	.	PROPN
ejpam-5401	247	5	math	math	PROPN
ejpam-5401	247	6	,	,	PUNCT
ejpam-5401	247	7	17	17	NUM
ejpam-5401	247	8	(	(	PUNCT
ejpam-5401	247	9	4	4	NUM
ejpam-5401	247	10	)	)	PUNCT
ejpam-5401	247	11	(	(	PUNCT
ejpam-5401	247	12	2024	2024	NUM
ejpam-5401	247	13	)	)	PUNCT
ejpam-5401	247	14	,	,	PUNCT
ejpam-5401	247	15	3043	3043	NUM
ejpam-5401	247	16	-	-	SYM
ejpam-5401	247	17	3060	3060	NUM
ejpam-5401	247	18	3050	3050	NUM
ejpam-5401	247	19	(	(	PUNCT
ejpam-5401	247	20	i	i	NOUN
ejpam-5401	247	21	)	)	PUNCT
ejpam-5401	247	22	clearly	clearly	ADV
ejpam-5401	247	23	(	(	PUNCT
ejpam-5401	247	24	φ	φ	PROPN
ejpam-5401	247	25	,	,	PUNCT
ejpam-5401	247	26	c	c	NOUN
ejpam-5401	247	27	,	,	PUNCT
ejpam-5401	247	28	v	v	NOUN
ejpam-5401	247	29	ψ	ψ	NOUN
ejpam-5401	247	30	)	)	PUNCT
ejpam-5401	247	31	pc	pc	NOUN
ejpam-5401	247	32	,	,	PUNCT
ejpam-5401	247	33	(	(	PUNCT
ejpam-5401	247	34	ψ	ψ	X
ejpam-5401	247	35	,	,	PUNCT
ejpam-5401	247	36	c	c	NOUN
ejpam-5401	247	37	,	,	PUNCT
ejpam-5401	247	38	v	v	NOUN
ejpam-5401	247	39	ψ	ψ	NOUN
ejpam-5401	247	40	)	)	PUNCT
ejpam-5401	247	41	pc∈	pc∈	PROPN
ejpam-5401	247	42	τpc	τpc	PROPN
ejpam-5401	247	43	≍	≍	PROPN
ejpam-5401	247	44	⊓	⊓	PROPN
ejpam-5401	247	45	τ∗pc	τ∗pc	NOUN
ejpam-5401	247	46	.	.	PUNCT
ejpam-5401	248	1	(	(	PUNCT
ejpam-5401	248	2	ii	ii	NOUN
ejpam-5401	248	3	)	)	PUNCT
ejpam-5401	248	4	let	let	VERB
ejpam-5401	248	5	(	(	PUNCT
ejpam-5401	248	6	γ1	γ1	PROPN
ejpam-5401	248	7	,	,	PUNCT
ejpam-5401	248	8	c1	c1	PROPN
ejpam-5401	248	9	,	,	PUNCT
ejpam-5401	248	10	vψ)pc	vψ)pc	X
ejpam-5401	248	11	,	,	PUNCT
ejpam-5401	248	12	(	(	PUNCT
ejpam-5401	248	13	γ2	γ2	PROPN
ejpam-5401	248	14	,	,	PUNCT
ejpam-5401	248	15	c2	c2	PROPN
ejpam-5401	248	16	,	,	PUNCT
ejpam-5401	248	17	vψ)pc∈τpc	vψ)pc∈τpc	NOUN
ejpam-5401	248	18	≍	≍	PROPN
ejpam-5401	248	19	⊓	⊓	PROPN
ejpam-5401	248	20	τ∗pc	τ∗pc	NOUN
ejpam-5401	248	21	,	,	PUNCT
ejpam-5401	248	22	then	then	ADV
ejpam-5401	248	23	(	(	PUNCT
ejpam-5401	248	24	γ1	γ1	PROPN
ejpam-5401	248	25	,	,	PUNCT
ejpam-5401	248	26	c1	c1	PROPN
ejpam-5401	248	27	,	,	PUNCT
ejpam-5401	248	28	vψ)pc	vψ)pc	X
ejpam-5401	248	29	,	,	PUNCT
ejpam-5401	248	30	(	(	PUNCT
ejpam-5401	248	31	γ2	γ2	PROPN
ejpam-5401	248	32	,	,	PUNCT
ejpam-5401	248	33	c2	c2	PROPN
ejpam-5401	248	34	,	,	PUNCT
ejpam-5401	248	35	vψ)pc∈τpc	vψ)pc∈τpc	NOUN
ejpam-5401	248	36	and	and	CCONJ
ejpam-5401	248	37	(	(	PUNCT
ejpam-5401	248	38	γ1	γ1	PROPN
ejpam-5401	248	39	,	,	PUNCT
ejpam-5401	248	40	c1	c1	PROPN
ejpam-5401	248	41	,	,	PUNCT
ejpam-5401	248	42	vψ)pc	vψ)pc	X
ejpam-5401	248	43	,	,	PUNCT
ejpam-5401	248	44	(	(	PUNCT
ejpam-5401	248	45	γ2	γ2	PROPN
ejpam-5401	248	46	,	,	PUNCT
ejpam-5401	248	47	c2	c2	PROPN
ejpam-5401	248	48	,	,	PUNCT
ejpam-5401	248	49	vψ)pc∈τ	vψ)pc∈τ	NOUN
ejpam-5401	248	50	∗	∗	NOUN
ejpam-5401	248	51	pc	pc	NOUN
ejpam-5401	248	52	.	.	PUNCT
ejpam-5401	249	1	since	since	SCONJ
ejpam-5401	249	2	(	(	PUNCT
ejpam-5401	249	3	γ1	γ1	PROPN
ejpam-5401	249	4	,	,	PUNCT
ejpam-5401	249	5	c1	c1	PROPN
ejpam-5401	249	6	,	,	PUNCT
ejpam-5401	250	1	vψ)pc	vψ)pc	PROPN
ejpam-5401	250	2	≍	≍	PROPN
ejpam-5401	250	3	⊓	⊓	PROPN
ejpam-5401	250	4	(	(	PUNCT
ejpam-5401	250	5	γ2	γ2	PROPN
ejpam-5401	250	6	,	,	PUNCT
ejpam-5401	250	7	c2	c2	PROPN
ejpam-5401	250	8	,	,	PUNCT
ejpam-5401	250	9	vψ)pc∈τpc	vψ)pc∈τpc	NOUN
ejpam-5401	250	10	and	and	CCONJ
ejpam-5401	250	11	(	(	PUNCT
ejpam-5401	250	12	γ1	γ1	PROPN
ejpam-5401	250	13	,	,	PUNCT
ejpam-5401	250	14	c1	c1	PROPN
ejpam-5401	250	15	,	,	PUNCT
ejpam-5401	251	1	vψ)pc	vψ)pc	PROPN
ejpam-5401	251	2	≍	≍	PROPN
ejpam-5401	251	3	⊓	⊓	PROPN
ejpam-5401	251	4	(	(	PUNCT
ejpam-5401	251	5	γ2	γ2	PROPN
ejpam-5401	251	6	,	,	PUNCT
ejpam-5401	251	7	c2	c2	PROPN
ejpam-5401	251	8	,	,	PUNCT
ejpam-5401	251	9	vψ)pc∈τ	vψ)pc∈τ	NOUN
ejpam-5401	251	10	∗	∗	NOUN
ejpam-5401	251	11	pc	pc	NOUN
ejpam-5401	251	12	,	,	PUNCT
ejpam-5401	251	13	so	so	CCONJ
ejpam-5401	251	14	(	(	PUNCT
ejpam-5401	251	15	γ1	γ1	PROPN
ejpam-5401	251	16	,	,	PUNCT
ejpam-5401	251	17	c1	c1	PROPN
ejpam-5401	251	18	,	,	PUNCT
ejpam-5401	251	19	vψ)pc	vψ)pc	PROPN
ejpam-5401	251	20	≍	≍	PROPN
ejpam-5401	251	21	⊓	⊓	PROPN
ejpam-5401	251	22	(	(	PUNCT
ejpam-5401	251	23	γ2	γ2	PROPN
ejpam-5401	251	24	,	,	PUNCT
ejpam-5401	251	25	c2	c2	PROPN
ejpam-5401	251	26	,	,	PUNCT
ejpam-5401	251	27	vψ)pc∈τpc	vψ)pc∈τpc	NOUN
ejpam-5401	251	28	≍	≍	PROPN
ejpam-5401	251	29	⊓	⊓	PROPN
ejpam-5401	251	30	τ∗pc	τ∗pc	NOUN
ejpam-5401	251	31	.	.	PUNCT
ejpam-5401	252	1	(	(	PUNCT
ejpam-5401	252	2	iii	iii	X
ejpam-5401	252	3	)	)	PUNCT
ejpam-5401	252	4	let	let	VERB
ejpam-5401	252	5	{	{	PUNCT
ejpam-5401	252	6	(	(	PUNCT
ejpam-5401	252	7	γi	γi	INTJ
ejpam-5401	252	8	,	,	PUNCT
ejpam-5401	252	9	ci	ci	PROPN
ejpam-5401	252	10	,	,	PUNCT
ejpam-5401	252	11	vψ)pc	vψ)pc	PROPN
ejpam-5401	252	12	;	;	PUNCT
ejpam-5401	252	13	i	i	PRON
ejpam-5401	252	14	∈	∈	PROPN
ejpam-5401	252	15	i	i	PRON
ejpam-5401	252	16	}	}	PUNCT
ejpam-5401	252	17	be	be	VERB
ejpam-5401	252	18	a	a	DET
ejpam-5401	252	19	family	family	NOUN
ejpam-5401	252	20	of	of	ADP
ejpam-5401	252	21	pchs	pchs	ADJ
ejpam-5401	252	22	sets	set	NOUN
ejpam-5401	252	23	in	in	ADP
ejpam-5401	252	24	τpc	τpc	NOUN
ejpam-5401	252	25	≍	≍	PROPN
ejpam-5401	252	26	⊓	⊓	PROPN
ejpam-5401	252	27	τ∗pc	τ∗pc	NOUN
ejpam-5401	252	28	.	.	PUNCT
ejpam-5401	253	1	then	then	ADV
ejpam-5401	253	2	(	(	PUNCT
ejpam-5401	253	3	γi	γi	INTJ
ejpam-5401	253	4	,	,	PUNCT
ejpam-5401	253	5	ci	ci	NOUN
ejpam-5401	253	6	,	,	PUNCT
ejpam-5401	253	7	vψ)pc∈τpc	vψ)pc∈τpc	NOUN
ejpam-5401	253	8	and	and	CCONJ
ejpam-5401	253	9	(	(	PUNCT
ejpam-5401	253	10	γi	γi	INTJ
ejpam-5401	253	11	,	,	PUNCT
ejpam-5401	253	12	ci	ci	NOUN
ejpam-5401	253	13	,	,	PUNCT
ejpam-5401	253	14	vψ)pc∈τ	vψ)pc∈τ	NOUN
ejpam-5401	253	15	∗	∗	NOUN
ejpam-5401	253	16	pc	pc	NOUN
ejpam-5401	253	17	for	for	ADP
ejpam-5401	253	18	each	each	DET
ejpam-5401	253	19	i	i	PRON
ejpam-5401	253	20	∈	∈	PROPN
ejpam-5401	254	1	i	i	PRON
ejpam-5401	254	2	,	,	PUNCT
ejpam-5401	254	3	so	so	ADV
ejpam-5401	254	4	≍⊔	≍⊔	PROPN
ejpam-5401	254	5	i∈i	i∈i	ADJ
ejpam-5401	254	6	(	(	PUNCT
ejpam-5401	254	7	γi	γi	INTJ
ejpam-5401	254	8	,	,	PUNCT
ejpam-5401	254	9	ci	ci	PROPN
ejpam-5401	254	10	,	,	PUNCT
ejpam-5401	254	11	vψ)pc	vψ)pc	PROPN
ejpam-5401	254	12	∈	∈	PROPN
ejpam-5401	254	13	τpc	τpc	NOUN
ejpam-5401	254	14	and	and	CCONJ
ejpam-5401	254	15	≍⊔	≍⊔	PROPN
ejpam-5401	254	16	i∈i	i∈i	ADJ
ejpam-5401	254	17	(	(	PUNCT
ejpam-5401	254	18	γi	γi	INTJ
ejpam-5401	254	19	,	,	PUNCT
ejpam-5401	254	20	ci	ci	NOUN
ejpam-5401	254	21	,	,	PUNCT
ejpam-5401	254	22	vψ)pc∈τ	vψ)pc∈τ	NOUN
ejpam-5401	254	23	∗	∗	NOUN
ejpam-5401	254	24	pc	pc	NOUN
ejpam-5401	254	25	.	.	PUNCT
ejpam-5401	255	1	therefore	therefore	ADV
ejpam-5401	255	2	,	,	PUNCT
ejpam-5401	255	3	≍⊔	≍⊔	PROPN
ejpam-5401	255	4	i∈i	i∈i	ADJ
ejpam-5401	255	5	(	(	PUNCT
ejpam-5401	255	6	γi	γi	INTJ
ejpam-5401	255	7	,	,	PUNCT
ejpam-5401	255	8	ci	ci	PROPN
ejpam-5401	255	9	,	,	PUNCT
ejpam-5401	255	10	vψ)pc∈τpc	vψ)pc∈τpc	NOUN
ejpam-5401	255	11	≍	≍	PROPN
ejpam-5401	255	12	⊓	⊓	PROPN
ejpam-5401	255	13	τ∗pc	τ∗pc	NOUN
ejpam-5401	255	14	.	.	PUNCT
ejpam-5401	256	1	thus	thus	ADV
ejpam-5401	256	2	,	,	PUNCT
ejpam-5401	256	3	τpc	τpc	NOUN
ejpam-5401	256	4	≍	≍	PROPN
ejpam-5401	256	5	⊓	⊓	PROPN
ejpam-5401	256	6	τ∗pc	τ∗pc	NOUN
ejpam-5401	256	7	forms	form	VERB
ejpam-5401	256	8	a	a	DET
ejpam-5401	256	9	pchs	pchs	ADJ
ejpam-5401	256	10	topology	topology	NOUN
ejpam-5401	256	11	over	over	ADP
ejpam-5401	256	12	up	up	ADV
ejpam-5401	256	13	and	and	CCONJ
ejpam-5401	256	14	(	(	PUNCT
ejpam-5401	256	15	γ	γ	PROPN
ejpam-5401	256	16	,	,	PUNCT
ejpam-5401	256	17	τpc	τpc	NOUN
ejpam-5401	256	18	≍	≍	PROPN
ejpam-5401	256	19	⊓	⊓	PROPN
ejpam-5401	256	20	τ∗pc	τ∗pc	NOUN
ejpam-5401	256	21	,	,	PUNCT
ejpam-5401	256	22	vψ	vψ	PROPN
ejpam-5401	256	23	)	)	PUNCT
ejpam-5401	256	24	is	be	AUX
ejpam-5401	256	25	a	a	DET
ejpam-5401	256	26	pchst	pchst	ADJ
ejpam-5401	256	27	space	space	NOUN
ejpam-5401	256	28	over	over	ADP
ejpam-5401	256	29	up	up	ADV
ejpam-5401	256	30	.	.	PUNCT
ejpam-5401	257	1	remark	remark	NOUN
ejpam-5401	257	2	3	3	NUM
ejpam-5401	257	3	.	.	PUNCT
ejpam-5401	258	1	the	the	DET
ejpam-5401	258	2	union	union	NOUN
ejpam-5401	258	3	of	of	ADP
ejpam-5401	258	4	two	two	NUM
ejpam-5401	258	5	pchs	pchs	ADJ
ejpam-5401	258	6	topologies	topology	NOUN
ejpam-5401	258	7	on	on	ADP
ejpam-5401	258	8	up	up	ADP
ejpam-5401	258	9	may	may	AUX
ejpam-5401	258	10	not	not	PART
ejpam-5401	258	11	be	be	AUX
ejpam-5401	258	12	a	a	DET
ejpam-5401	258	13	pchs	pchs	ADJ
ejpam-5401	258	14	topology	topology	NOUN
ejpam-5401	258	15	on	on	ADP
ejpam-5401	258	16	up	up	ADP
ejpam-5401	258	17	.	.	PUNCT
ejpam-5401	259	1	see	see	VERB
ejpam-5401	259	2	the	the	DET
ejpam-5401	259	3	next	next	ADJ
ejpam-5401	259	4	example	example	NOUN
ejpam-5401	259	5	.	.	PUNCT
ejpam-5401	260	1	example	example	NOUN
ejpam-5401	261	1	2	2	NUM
ejpam-5401	261	2	.	.	PUNCT
ejpam-5401	261	3	let	let	VERB
ejpam-5401	261	4	up	up	ADP
ejpam-5401	261	5	=	=	PUNCT
ejpam-5401	261	6	{	{	PUNCT
ejpam-5401	261	7	x1	x1	PROPN
ejpam-5401	261	8	,	,	PUNCT
ejpam-5401	261	9	x2	x2	PROPN
ejpam-5401	261	10	,	,	PUNCT
ejpam-5401	261	11	x3	x3	ADJ
ejpam-5401	261	12	,	,	PUNCT
ejpam-5401	261	13	x4	x4	PROPN
ejpam-5401	261	14	}	}	PUNCT
ejpam-5401	261	15	,	,	PUNCT
ejpam-5401	261	16	e1	e1	NOUN
ejpam-5401	261	17	=	=	SYM
ejpam-5401	261	18	{	{	PUNCT
ejpam-5401	261	19	e1	e1	PROPN
ejpam-5401	261	20	,	,	PUNCT
ejpam-5401	261	21	e2	e2	PROPN
ejpam-5401	261	22	}	}	PUNCT
ejpam-5401	261	23	,	,	PUNCT
ejpam-5401	261	24	e2	e2	PROPN
ejpam-5401	261	25	=	=	PUNCT
ejpam-5401	261	26	{	{	PUNCT
ejpam-5401	261	27	e3	e3	NOUN
ejpam-5401	261	28	}	}	PUNCT
ejpam-5401	261	29	,	,	PUNCT
ejpam-5401	261	30	e3	e3	NOUN
ejpam-5401	261	31	=	=	SYM
ejpam-5401	261	32	{	{	PUNCT
ejpam-5401	261	33	e4	e4	PROPN
ejpam-5401	261	34	}	}	PUNCT
ejpam-5401	261	35	.	.	PUNCT
ejpam-5401	262	1	let	let	VERB
ejpam-5401	262	2	vψ	vψ	VERB
ejpam-5401	262	3	=	=	VERB
ejpam-5401	262	4	e1×e2×e3	e1×e2×e3	X
ejpam-5401	262	5	and	and	CCONJ
ejpam-5401	262	6	(	(	PUNCT
ejpam-5401	262	7	α	α	NOUN
ejpam-5401	262	8	)	)	PUNCT
ejpam-5401	262	9	=	=	SYM
ejpam-5401	262	10	(	(	PUNCT
ejpam-5401	262	11	e1	e1	PROPN
ejpam-5401	262	12	,	,	PUNCT
ejpam-5401	262	13	e3	e3	NOUN
ejpam-5401	262	14	,	,	PUNCT
ejpam-5401	262	15	e4	e4	PROPN
ejpam-5401	262	16	)	)	PUNCT
ejpam-5401	262	17	and	and	CCONJ
ejpam-5401	262	18	(	(	PUNCT
ejpam-5401	262	19	β	β	NOUN
ejpam-5401	262	20	)	)	PUNCT
ejpam-5401	263	1	=	=	SYM
ejpam-5401	263	2	(	(	PUNCT
ejpam-5401	263	3	e2	e2	PROPN
ejpam-5401	263	4	,	,	PUNCT
ejpam-5401	263	5	e3	e3	NOUN
ejpam-5401	263	6	,	,	PUNCT
ejpam-5401	263	7	e4	e4	PROPN
ejpam-5401	263	8	)	)	PUNCT
ejpam-5401	263	9	.	.	PUNCT
ejpam-5401	264	1	define	define	VERB
ejpam-5401	264	2	the	the	DET
ejpam-5401	264	3	following	follow	VERB
ejpam-5401	264	4	pchs	pchs	ADJ
ejpam-5401	264	5	sets	set	NOUN
ejpam-5401	264	6	:(	:(	X
ejpam-5401	264	7	γ1	γ1	NOUN
ejpam-5401	264	8	,	,	PUNCT
ejpam-5401	264	9	c1	c1	PROPN
ejpam-5401	264	10	,	,	PUNCT
ejpam-5401	264	11	v	v	NOUN
ejpam-5401	264	12	ψ	ψ	NOUN
ejpam-5401	264	13	)	)	PUNCT
ejpam-5401	264	14	pc	pc	NOUN
ejpam-5401	264	15	=	=	SYM
ejpam-5401	264	16	{	{	PUNCT
ejpam-5401	264	17	<	<	X
ejpam-5401	264	18	(	(	PUNCT
ejpam-5401	264	19	α	α	NOUN
ejpam-5401	264	20	)	)	PUNCT
ejpam-5401	264	21	,	,	PUNCT
ejpam-5401	264	22	{	{	PUNCT
ejpam-5401	264	23	x3	x3	VERB
ejpam-5401	264	24	(	(	PUNCT
ejpam-5401	264	25	1	1	NUM
ejpam-5401	264	26	,	,	PUNCT
ejpam-5401	264	27	1	1	NUM
ejpam-5401	264	28	,	,	PUNCT
ejpam-5401	264	29	0	0	NUM
ejpam-5401	264	30	)	)	PUNCT
ejpam-5401	264	31	,	,	PUNCT
ejpam-5401	264	32	x4	x4	PROPN
ejpam-5401	264	33	(	(	PUNCT
ejpam-5401	264	34	1	1	NUM
ejpam-5401	264	35	,	,	PUNCT
ejpam-5401	264	36	1	1	NUM
ejpam-5401	264	37	,	,	PUNCT
ejpam-5401	264	38	1	1	NUM
ejpam-5401	264	39	)	)	PUNCT
ejpam-5401	264	40	}	}	PUNCT
ejpam-5401	264	41	>	>	PUNCT
ejpam-5401	264	42	,	,	PUNCT
ejpam-5401	264	43	<	<	X
ejpam-5401	264	44	(	(	PUNCT
ejpam-5401	264	45	β	β	NOUN
ejpam-5401	264	46	)	)	PUNCT
ejpam-5401	264	47	,	,	PUNCT
ejpam-5401	264	48	{	{	PUNCT
ejpam-5401	264	49	x2	x2	X
ejpam-5401	264	50	(	(	PUNCT
ejpam-5401	264	51	1	1	NUM
ejpam-5401	264	52	,	,	PUNCT
ejpam-5401	264	53	1	1	NUM
ejpam-5401	264	54	,	,	PUNCT
ejpam-5401	264	55	1	1	NUM
ejpam-5401	264	56	)	)	PUNCT
ejpam-5401	264	57	,	,	PUNCT
ejpam-5401	264	58	x3	x3	VERB
ejpam-5401	264	59	(	(	PUNCT
ejpam-5401	264	60	1	1	NUM
ejpam-5401	264	61	,	,	PUNCT
ejpam-5401	264	62	1	1	NUM
ejpam-5401	264	63	,	,	PUNCT
ejpam-5401	264	64	1	1	NUM
ejpam-5401	264	65	)	)	PUNCT
ejpam-5401	264	66	}	}	PUNCT
ejpam-5401	264	67	>	>	PUNCT
ejpam-5401	264	68	}	}	PUNCT
ejpam-5401	264	69	(	(	PUNCT
ejpam-5401	264	70	γ2	γ2	PROPN
ejpam-5401	264	71	,	,	PUNCT
ejpam-5401	264	72	c2	c2	PROPN
ejpam-5401	264	73	,	,	PUNCT
ejpam-5401	264	74	v	v	NOUN
ejpam-5401	264	75	ψ	ψ	NOUN
ejpam-5401	264	76	)	)	PUNCT
ejpam-5401	264	77	pc	pc	NOUN
ejpam-5401	264	78	=	=	SYM
ejpam-5401	264	79	{	{	PUNCT
ejpam-5401	264	80	<	<	X
ejpam-5401	264	81	(	(	PUNCT
ejpam-5401	264	82	α	α	NOUN
ejpam-5401	264	83	)	)	PUNCT
ejpam-5401	264	84	,	,	PUNCT
ejpam-5401	264	85	{	{	PUNCT
ejpam-5401	264	86	x1	x1	NOUN
ejpam-5401	264	87	(	(	PUNCT
ejpam-5401	264	88	1	1	NUM
ejpam-5401	264	89	,	,	PUNCT
ejpam-5401	264	90	1	1	NUM
ejpam-5401	264	91	,	,	PUNCT
ejpam-5401	264	92	1	1	NUM
ejpam-5401	264	93	)	)	PUNCT
ejpam-5401	264	94	,	,	PUNCT
ejpam-5401	264	95	x2	x2	PROPN
ejpam-5401	264	96	(	(	PUNCT
ejpam-5401	264	97	1	1	NUM
ejpam-5401	264	98	,	,	PUNCT
ejpam-5401	264	99	1	1	NUM
ejpam-5401	264	100	,	,	PUNCT
ejpam-5401	264	101	1	1	NUM
ejpam-5401	264	102	)	)	PUNCT
ejpam-5401	264	103	,	,	PUNCT
ejpam-5401	264	104	x3	x3	VERB
ejpam-5401	264	105	(	(	PUNCT
ejpam-5401	264	106	1	1	NUM
ejpam-5401	264	107	,	,	PUNCT
ejpam-5401	264	108	1	1	NUM
ejpam-5401	264	109	,	,	PUNCT
ejpam-5401	264	110	1	1	NUM
ejpam-5401	264	111	)	)	PUNCT
ejpam-5401	264	112	}	}	PUNCT
ejpam-5401	264	113	>	>	PUNCT
ejpam-5401	264	114	,	,	PUNCT
ejpam-5401	264	115	<	<	X
ejpam-5401	264	116	(	(	PUNCT
ejpam-5401	264	117	β	β	NOUN
ejpam-5401	264	118	)	)	PUNCT
ejpam-5401	264	119	,	,	PUNCT
ejpam-5401	264	120	{	{	PUNCT
ejpam-5401	264	121	x1	x1	NOUN
ejpam-5401	264	122	(	(	PUNCT
ejpam-5401	264	123	1	1	NUM
ejpam-5401	264	124	,	,	PUNCT
ejpam-5401	264	125	1	1	NUM
ejpam-5401	264	126	,	,	PUNCT
ejpam-5401	264	127	1	1	NUM
ejpam-5401	264	128	)	)	PUNCT
ejpam-5401	264	129	,	,	PUNCT
ejpam-5401	264	130	x4	x4	PROPN
ejpam-5401	264	131	(	(	PUNCT
ejpam-5401	264	132	1	1	NUM
ejpam-5401	264	133	,	,	PUNCT
ejpam-5401	264	134	1	1	NUM
ejpam-5401	264	135	,	,	PUNCT
ejpam-5401	264	136	1	1	NUM
ejpam-5401	264	137	)	)	PUNCT
ejpam-5401	264	138	}	}	PUNCT
ejpam-5401	264	139	>	>	PUNCT
ejpam-5401	264	140	}	}	PUNCT
ejpam-5401	264	141	(	(	PUNCT
ejpam-5401	264	142	γ3	γ3	NOUN
ejpam-5401	264	143	,	,	PUNCT
ejpam-5401	264	144	c3	c3	PROPN
ejpam-5401	264	145	,	,	PUNCT
ejpam-5401	264	146	v	v	NOUN
ejpam-5401	264	147	ψ	ψ	NOUN
ejpam-5401	264	148	)	)	PUNCT
ejpam-5401	264	149	pc	pc	NOUN
ejpam-5401	264	150	=	=	SYM
ejpam-5401	264	151	{	{	PUNCT
ejpam-5401	264	152	<	<	X
ejpam-5401	264	153	(	(	PUNCT
ejpam-5401	264	154	α	α	NOUN
ejpam-5401	264	155	)	)	PUNCT
ejpam-5401	264	156	,	,	PUNCT
ejpam-5401	264	157	{	{	PUNCT
ejpam-5401	264	158	x3	x3	VERB
ejpam-5401	264	159	(	(	PUNCT
ejpam-5401	264	160	1	1	NUM
ejpam-5401	264	161	,	,	PUNCT
ejpam-5401	264	162	1	1	NUM
ejpam-5401	264	163	,	,	PUNCT
ejpam-5401	264	164	0	0	NUM
ejpam-5401	264	165	)	)	PUNCT
ejpam-5401	264	166	}	}	PUNCT
ejpam-5401	264	167	>	>	PUNCT
ejpam-5401	264	168	,	,	PUNCT
ejpam-5401	264	169	<	<	X
ejpam-5401	264	170	(	(	PUNCT
ejpam-5401	264	171	β	β	X
ejpam-5401	264	172	)	)	PUNCT
ejpam-5401	264	173	,	,	PUNCT
ejpam-5401	264	174	0pc	0pc	NOUN
ejpam-5401	264	175	>	>	X
ejpam-5401	264	176	}	}	PUNCT
ejpam-5401	264	177	(	(	PUNCT
ejpam-5401	264	178	γ∗	γ∗	PROPN
ejpam-5401	264	179	1	1	NUM
ejpam-5401	264	180	,	,	PUNCT
ejpam-5401	264	181	c	c	NOUN
ejpam-5401	264	182	∗	∗	NOUN
ejpam-5401	264	183	1	1	NUM
ejpam-5401	264	184	,	,	PUNCT
ejpam-5401	264	185	vψ)pc	vψ)pc	X
ejpam-5401	264	186	=	=	PUNCT
ejpam-5401	264	187	{	{	PUNCT
ejpam-5401	264	188	<	<	X
ejpam-5401	264	189	(	(	PUNCT
ejpam-5401	264	190	α	α	NOUN
ejpam-5401	264	191	)	)	PUNCT
ejpam-5401	264	192	,	,	PUNCT
ejpam-5401	264	193	{	{	PUNCT
ejpam-5401	264	194	x1	x1	NOUN
ejpam-5401	264	195	(	(	PUNCT
ejpam-5401	264	196	1	1	NUM
ejpam-5401	264	197	,	,	PUNCT
ejpam-5401	264	198	0	0	NUM
ejpam-5401	264	199	,	,	PUNCT
ejpam-5401	264	200	1	1	NUM
ejpam-5401	264	201	)	)	PUNCT
ejpam-5401	264	202	}	}	PUNCT
ejpam-5401	264	203	>	>	PUNCT
ejpam-5401	264	204	,	,	PUNCT
ejpam-5401	264	205	<	<	X
ejpam-5401	264	206	(	(	PUNCT
ejpam-5401	264	207	β	β	NOUN
ejpam-5401	264	208	)	)	PUNCT
ejpam-5401	264	209	,	,	PUNCT
ejpam-5401	264	210	{	{	PUNCT
ejpam-5401	264	211	x2	x2	X
ejpam-5401	264	212	(	(	PUNCT
ejpam-5401	264	213	1	1	NUM
ejpam-5401	264	214	,	,	PUNCT
ejpam-5401	264	215	1	1	NUM
ejpam-5401	264	216	,	,	PUNCT
ejpam-5401	264	217	0	0	NUM
ejpam-5401	264	218	)	)	PUNCT
ejpam-5401	264	219	}	}	PUNCT
ejpam-5401	264	220	>	>	PUNCT
ejpam-5401	264	221	}	}	PUNCT
ejpam-5401	264	222	(	(	PUNCT
ejpam-5401	264	223	γ∗	γ∗	PROPN
ejpam-5401	264	224	2	2	NUM
ejpam-5401	264	225	,	,	PUNCT
ejpam-5401	264	226	c	c	NOUN
ejpam-5401	264	227	∗	∗	X
ejpam-5401	264	228	2	2	NUM
ejpam-5401	264	229	,	,	PUNCT
ejpam-5401	264	230	vψ)pc	vψ)pc	X
ejpam-5401	265	1	=	=	PUNCT
ejpam-5401	265	2	{	{	PUNCT
ejpam-5401	265	3	<	<	X
ejpam-5401	265	4	(	(	PUNCT
ejpam-5401	265	5	α	α	NOUN
ejpam-5401	265	6	)	)	PUNCT
ejpam-5401	265	7	,	,	PUNCT
ejpam-5401	265	8	{	{	PUNCT
ejpam-5401	265	9	x1	x1	NOUN
ejpam-5401	265	10	(	(	PUNCT
ejpam-5401	265	11	1	1	NUM
ejpam-5401	265	12	,	,	PUNCT
ejpam-5401	265	13	0	0	NUM
ejpam-5401	265	14	,	,	PUNCT
ejpam-5401	265	15	0	0	NUM
ejpam-5401	265	16	)	)	PUNCT
ejpam-5401	265	17	}	}	PUNCT
ejpam-5401	266	1	>	>	PUNCT
ejpam-5401	266	2	,	,	PUNCT
ejpam-5401	266	3	<	<	X
ejpam-5401	266	4	(	(	PUNCT
ejpam-5401	266	5	β	β	NOUN
ejpam-5401	266	6	)	)	PUNCT
ejpam-5401	266	7	,	,	PUNCT
ejpam-5401	266	8	{	{	PUNCT
ejpam-5401	266	9	x2	x2	X
ejpam-5401	266	10	(	(	PUNCT
ejpam-5401	266	11	1	1	NUM
ejpam-5401	266	12	,	,	PUNCT
ejpam-5401	266	13	0	0	NUM
ejpam-5401	266	14	,	,	PUNCT
ejpam-5401	266	15	0	0	NUM
ejpam-5401	266	16	)	)	PUNCT
ejpam-5401	266	17	}	}	PUNCT
ejpam-5401	266	18	>	>	PUNCT
ejpam-5401	266	19	}	}	PUNCT
ejpam-5401	266	20	(	(	PUNCT
ejpam-5401	266	21	γ∗	γ∗	PROPN
ejpam-5401	266	22	3	3	NUM
ejpam-5401	266	23	,	,	PUNCT
ejpam-5401	266	24	c	c	NOUN
ejpam-5401	266	25	∗	∗	X
ejpam-5401	266	26	3	3	NUM
ejpam-5401	266	27	,	,	PUNCT
ejpam-5401	266	28	vψ)pc	vψ)pc	X
ejpam-5401	266	29	=	=	PUNCT
ejpam-5401	267	1	{	{	PUNCT
ejpam-5401	267	2	<	<	X
ejpam-5401	267	3	(	(	PUNCT
ejpam-5401	267	4	α	α	NOUN
ejpam-5401	267	5	)	)	PUNCT
ejpam-5401	267	6	,	,	PUNCT
ejpam-5401	267	7	{	{	PUNCT
ejpam-5401	267	8	x1	x1	NOUN
ejpam-5401	267	9	(	(	PUNCT
ejpam-5401	267	10	1	1	NUM
ejpam-5401	267	11	,	,	PUNCT
ejpam-5401	267	12	0	0	NUM
ejpam-5401	267	13	,	,	PUNCT
ejpam-5401	267	14	0	0	NUM
ejpam-5401	267	15	)	)	PUNCT
ejpam-5401	267	16	}	}	PUNCT
ejpam-5401	267	17	>	>	PUNCT
ejpam-5401	267	18	,	,	PUNCT
ejpam-5401	267	19	<	<	X
ejpam-5401	267	20	(	(	PUNCT
ejpam-5401	267	21	β	β	NOUN
ejpam-5401	267	22	)	)	PUNCT
ejpam-5401	267	23	,	,	PUNCT
ejpam-5401	267	24	{	{	PUNCT
ejpam-5401	267	25	x2	x2	X
ejpam-5401	267	26	(	(	PUNCT
ejpam-5401	267	27	1	1	NUM
ejpam-5401	267	28	,	,	PUNCT
ejpam-5401	267	29	1	1	NUM
ejpam-5401	267	30	,	,	PUNCT
ejpam-5401	267	31	0	0	NUM
ejpam-5401	267	32	)	)	PUNCT
ejpam-5401	267	33	}	}	PUNCT
ejpam-5401	268	1	>	>	PUNCT
ejpam-5401	268	2	}	}	PUNCT
ejpam-5401	268	3	.	.	PUNCT
ejpam-5401	269	1	then	then	ADV
ejpam-5401	269	2	the	the	DET
ejpam-5401	269	3	collections	collection	NOUN
ejpam-5401	269	4	:	:	PUNCT
ejpam-5401	269	5	τpc	τpc	NOUN
ejpam-5401	269	6	=	=	SYM
ejpam-5401	269	7	{	{	PUNCT
ejpam-5401	269	8	(	(	PUNCT
ejpam-5401	269	9	φ	φ	PROPN
ejpam-5401	269	10	,	,	PUNCT
ejpam-5401	269	11	c	c	NOUN
ejpam-5401	269	12	,	,	PUNCT
ejpam-5401	269	13	v	v	NOUN
ejpam-5401	269	14	ψ	ψ	NOUN
ejpam-5401	269	15	)	)	PUNCT
ejpam-5401	269	16	pc	pc	NOUN
ejpam-5401	269	17	,	,	PUNCT
ejpam-5401	269	18	(	(	PUNCT
ejpam-5401	269	19	γ1	γ1	PROPN
ejpam-5401	269	20	,	,	PUNCT
ejpam-5401	269	21	c1	c1	PROPN
ejpam-5401	269	22	,	,	PUNCT
ejpam-5401	269	23	vψ)pc	vψ)pc	X
ejpam-5401	269	24	,	,	PUNCT
ejpam-5401	269	25	(	(	PUNCT
ejpam-5401	269	26	γ2	γ2	PROPN
ejpam-5401	269	27	,	,	PUNCT
ejpam-5401	269	28	c2	c2	PROPN
ejpam-5401	269	29	,	,	PUNCT
ejpam-5401	269	30	vψ)pc	vψ)pc	X
ejpam-5401	269	31	,	,	PUNCT
ejpam-5401	269	32	(	(	PUNCT
ejpam-5401	269	33	γ3	γ3	NOUN
ejpam-5401	269	34	,	,	PUNCT
ejpam-5401	269	35	c3	c3	PROPN
ejpam-5401	269	36	,	,	PUNCT
ejpam-5401	269	37	vψ)pc	vψ)pc	X
ejpam-5401	269	38	,	,	PUNCT
ejpam-5401	269	39	(	(	PUNCT
ejpam-5401	269	40	ψ	ψ	X
ejpam-5401	269	41	,	,	PUNCT
ejpam-5401	269	42	c	c	NOUN
ejpam-5401	269	43	,	,	PUNCT
ejpam-5401	269	44	v	v	NOUN
ejpam-5401	269	45	ψ	ψ	NOUN
ejpam-5401	269	46	)	)	PUNCT
ejpam-5401	269	47	pc	pc	NOUN
ejpam-5401	269	48	}	}	PUNCT
ejpam-5401	269	49	and	and	CCONJ
ejpam-5401	269	50	τ∗pc	τ∗pc	NOUN
ejpam-5401	269	51	=	=	SYM
ejpam-5401	269	52	{	{	PUNCT
ejpam-5401	269	53	(	(	PUNCT
ejpam-5401	269	54	φ	φ	PROPN
ejpam-5401	269	55	,	,	PUNCT
ejpam-5401	269	56	c	c	NOUN
ejpam-5401	269	57	,	,	PUNCT
ejpam-5401	269	58	v	v	NOUN
ejpam-5401	269	59	ψ	ψ	NOUN
ejpam-5401	269	60	)	)	PUNCT
ejpam-5401	269	61	pc	pc	NOUN
ejpam-5401	269	62	,	,	PUNCT
ejpam-5401	269	63	(	(	PUNCT
ejpam-5401	269	64	γ∗	γ∗	NOUN
ejpam-5401	269	65	1	1	NUM
ejpam-5401	269	66	,	,	PUNCT
ejpam-5401	269	67	c	c	NOUN
ejpam-5401	269	68	∗	∗	NOUN
ejpam-5401	269	69	1	1	NUM
ejpam-5401	269	70	,	,	PUNCT
ejpam-5401	269	71	vψ)pc	vψ)pc	X
ejpam-5401	269	72	,	,	PUNCT
ejpam-5401	269	73	(	(	PUNCT
ejpam-5401	269	74	γ∗	γ∗	PROPN
ejpam-5401	269	75	2	2	NUM
ejpam-5401	269	76	,	,	PUNCT
ejpam-5401	269	77	c	c	NOUN
ejpam-5401	269	78	∗	∗	X
ejpam-5401	269	79	2	2	NUM
ejpam-5401	269	80	,	,	PUNCT
ejpam-5401	269	81	vψ)pc	vψ)pc	X
ejpam-5401	269	82	,	,	PUNCT
ejpam-5401	269	83	(	(	PUNCT
ejpam-5401	269	84	γ∗	γ∗	PROPN
ejpam-5401	269	85	3	3	NUM
ejpam-5401	269	86	,	,	PUNCT
ejpam-5401	269	87	c	c	NOUN
ejpam-5401	269	88	∗	∗	X
ejpam-5401	269	89	2	2	NUM
ejpam-5401	269	90	,	,	PUNCT
ejpam-5401	269	91	vψ)pc	vψ)pc	X
ejpam-5401	269	92	,	,	PUNCT
ejpam-5401	269	93	(	(	PUNCT
ejpam-5401	269	94	ψ	ψ	X
ejpam-5401	269	95	,	,	PUNCT
ejpam-5401	269	96	c	c	NOUN
ejpam-5401	269	97	,	,	PUNCT
ejpam-5401	269	98	v	v	NOUN
ejpam-5401	269	99	ψ	ψ	NOUN
ejpam-5401	269	100	)	)	PUNCT
ejpam-5401	269	101	pc	pc	NOUN
ejpam-5401	269	102	}	}	PUNCT
ejpam-5401	269	103	forms	form	VERB
ejpam-5401	269	104	a	a	DET
ejpam-5401	269	105	pchs	pchs	ADJ
ejpam-5401	269	106	topological	topological	ADJ
ejpam-5401	269	107	spaces	space	NOUN
ejpam-5401	269	108	on	on	ADP
ejpam-5401	269	109	up	up	ADP
ejpam-5401	269	110	.	.	PUNCT
ejpam-5401	270	1	now	now	ADV
ejpam-5401	270	2	,	,	PUNCT
ejpam-5401	270	3	we	we	PRON
ejpam-5401	270	4	see	see	VERB
ejpam-5401	270	5	that	that	PRON
ejpam-5401	270	6	:	:	PUNCT
ejpam-5401	270	7	(	(	PUNCT
ejpam-5401	270	8	γ∗	γ∗	NOUN
ejpam-5401	270	9	3	3	NUM
ejpam-5401	270	10	,	,	PUNCT
ejpam-5401	270	11	c	c	NOUN
ejpam-5401	270	12	∗	∗	X
ejpam-5401	270	13	3	3	NUM
ejpam-5401	270	14	,	,	PUNCT
ejpam-5401	270	15	vψ)pc	vψ)pc	PROPN
ejpam-5401	270	16	≍	≍	PROPN
ejpam-5401	270	17	⊔(γ3	⊔(γ3	NOUN
ejpam-5401	270	18	,	,	PUNCT
ejpam-5401	270	19	c3	c3	PROPN
ejpam-5401	270	20	,	,	PUNCT
ejpam-5401	270	21	vψ)pc	vψ)pc	X
ejpam-5401	270	22	=	=	PUNCT
ejpam-5401	270	23	{	{	PUNCT
ejpam-5401	270	24	<	<	X
ejpam-5401	270	25	(	(	PUNCT
ejpam-5401	270	26	α	α	NOUN
ejpam-5401	270	27	)	)	PUNCT
ejpam-5401	270	28	,	,	PUNCT
ejpam-5401	270	29	{	{	PUNCT
ejpam-5401	270	30	x1	x1	NOUN
ejpam-5401	270	31	(	(	PUNCT
ejpam-5401	270	32	1	1	NUM
ejpam-5401	270	33	,	,	PUNCT
ejpam-5401	270	34	1	1	NUM
ejpam-5401	270	35	,	,	PUNCT
ejpam-5401	270	36	0	0	NUM
ejpam-5401	270	37	)	)	PUNCT
ejpam-5401	270	38	,	,	PUNCT
ejpam-5401	270	39	x3	x3	VERB
ejpam-5401	270	40	(	(	PUNCT
ejpam-5401	270	41	1	1	NUM
ejpam-5401	270	42	,	,	PUNCT
ejpam-5401	270	43	1	1	NUM
ejpam-5401	270	44	,	,	PUNCT
ejpam-5401	270	45	0	0	NUM
ejpam-5401	270	46	)	)	PUNCT
ejpam-5401	270	47	}	}	PUNCT
ejpam-5401	270	48	>	>	PUNCT
ejpam-5401	270	49	,	,	PUNCT
ejpam-5401	270	50	<	<	X
ejpam-5401	270	51	(	(	PUNCT
ejpam-5401	270	52	β	β	NOUN
ejpam-5401	270	53	)	)	PUNCT
ejpam-5401	270	54	,	,	PUNCT
ejpam-5401	270	55	{	{	PUNCT
ejpam-5401	270	56	x2	x2	X
ejpam-5401	270	57	(	(	PUNCT
ejpam-5401	270	58	1	1	NUM
ejpam-5401	270	59	,	,	PUNCT
ejpam-5401	270	60	1	1	NUM
ejpam-5401	270	61	,	,	PUNCT
ejpam-5401	270	62	0	0	NUM
ejpam-5401	270	63	)	)	PUNCT
ejpam-5401	270	64	}	}	PUNCT
ejpam-5401	270	65	>	>	PUNCT
ejpam-5401	270	66	}	}	PUNCT
ejpam-5401	270	67	not	not	PART
ejpam-5401	270	68	in	in	ADP
ejpam-5401	270	69	τpc	τpc	NOUN
ejpam-5401	270	70	≍	≍	PROPN
ejpam-5401	270	71	⊔	⊔	PROPN
ejpam-5401	270	72	τ∗pc	τ∗pc	PROPN
ejpam-5401	270	73	.	.	PUNCT
ejpam-5401	271	1	hence	hence	ADV
ejpam-5401	271	2	,	,	PUNCT
ejpam-5401	271	3	τpc	τpc	NOUN
ejpam-5401	271	4	≍	≍	PROPN
ejpam-5401	271	5	⊔	⊔	PROPN
ejpam-5401	271	6	τ∗pc	τ∗pc	PROPN
ejpam-5401	271	7	does	do	AUX
ejpam-5401	271	8	not	not	PART
ejpam-5401	271	9	form	form	VERB
ejpam-5401	271	10	a	a	DET
ejpam-5401	271	11	pchs	pchs	ADJ
ejpam-5401	271	12	topology	topology	NOUN
ejpam-5401	271	13	over	over	ADP
ejpam-5401	271	14	up	up	ADV
ejpam-5401	271	15	.	.	PUNCT
ejpam-5401	272	1	definition	definition	NOUN
ejpam-5401	272	2	28	28	NUM
ejpam-5401	272	3	.	.	PUNCT
ejpam-5401	273	1	let	let	VERB
ejpam-5401	273	2	(	(	PUNCT
ejpam-5401	273	3	up	up	ADP
ejpam-5401	273	4	,	,	PUNCT
ejpam-5401	273	5	τpc	τpc	NOUN
ejpam-5401	273	6	,	,	PUNCT
ejpam-5401	273	7	vψ	vψ	AUX
ejpam-5401	273	8	)	)	PUNCT
ejpam-5401	273	9	be	be	AUX
ejpam-5401	273	10	a	a	DET
ejpam-5401	273	11	pchst	pchst	ADJ
ejpam-5401	273	12	space	space	NOUN
ejpam-5401	273	13	over	over	ADP
ejpam-5401	273	14	up	up	ADP
ejpam-5401	273	15	,	,	PUNCT
ejpam-5401	273	16	(	(	PUNCT
ejpam-5401	273	17	γ	γ	X
ejpam-5401	273	18	,	,	PUNCT
ejpam-5401	273	19	c	c	NOUN
ejpam-5401	273	20	,	,	PUNCT
ejpam-5401	273	21	v	v	NOUN
ejpam-5401	273	22	ψ	ψ	NOUN
ejpam-5401	273	23	)	)	PUNCT
ejpam-5401	273	24	pc	pc	NOUN
ejpam-5401	273	25	be	be	AUX
ejpam-5401	273	26	a	a	DET
ejpam-5401	273	27	pchs	pch	NOUN
ejpam-5401	273	28	set	set	VERB
ejpam-5401	273	29	over	over	ADP
ejpam-5401	273	30	up	up	ADP
ejpam-5401	273	31	and	and	CCONJ
ejpam-5401	273	32	x∈up	x∈up	NOUN
ejpam-5401	273	33	.	.	PUNCT
ejpam-5401	274	1	then	then	ADV
ejpam-5401	274	2	(	(	PUNCT
ejpam-5401	274	3	γ	γ	X
ejpam-5401	274	4	,	,	PUNCT
ejpam-5401	274	5	c	c	NOUN
ejpam-5401	274	6	,	,	PUNCT
ejpam-5401	274	7	v	v	NOUN
ejpam-5401	274	8	ψ	ψ	NOUN
ejpam-5401	274	9	)	)	PUNCT
ejpam-5401	274	10	pc	pc	NOUN
ejpam-5401	274	11	is	be	AUX
ejpam-5401	274	12	said	say	VERB
ejpam-5401	274	13	to	to	PART
ejpam-5401	274	14	be	be	AUX
ejpam-5401	274	15	a	a	DET
ejpam-5401	274	16	pchs	pchs	ADJ
ejpam-5401	274	17	neighborhood	neighborhood	NOUN
ejpam-5401	274	18	of	of	ADP
ejpam-5401	274	19	x	x	PRON
ejpam-5401	274	20	if	if	SCONJ
ejpam-5401	274	21	there	there	PRON
ejpam-5401	274	22	exists	exist	VERB
ejpam-5401	274	23	a	a	DET
ejpam-5401	274	24	pchs	pch	NOUN
ejpam-5401	274	25	open	open	ADJ
ejpam-5401	274	26	set	set	NOUN
ejpam-5401	274	27	(	(	PUNCT
ejpam-5401	274	28	γ∗	γ∗	PROPN
ejpam-5401	274	29	,	,	PUNCT
ejpam-5401	274	30	c∗	c∗	PROPN
ejpam-5401	274	31	,	,	PUNCT
ejpam-5401	274	32	v	v	NOUN
ejpam-5401	274	33	ψ	ψ	NOUN
ejpam-5401	274	34	)	)	PUNCT
ejpam-5401	274	35	pc	pc	NOUN
ejpam-5401	274	36	such	such	ADJ
ejpam-5401	274	37	that	that	PRON
ejpam-5401	274	38	x∈	x∈	PROPN
ejpam-5401	274	39	(	(	PUNCT
ejpam-5401	274	40	γ∗	γ∗	PROPN
ejpam-5401	274	41	,	,	PUNCT
ejpam-5401	274	42	c∗	c∗	PROPN
ejpam-5401	274	43	,	,	PUNCT
ejpam-5401	274	44	v	v	NOUN
ejpam-5401	274	45	ψ	ψ	NOUN
ejpam-5401	274	46	)	)	PUNCT
ejpam-5401	274	47	pc	pc	NOUN
ejpam-5401	274	48	≍	≍	PROPN
ejpam-5401	274	49	⊑	⊑	X
ejpam-5401	274	50	(	(	PUNCT
ejpam-5401	274	51	γ	γ	X
ejpam-5401	274	52	,	,	PUNCT
ejpam-5401	274	53	c	c	NOUN
ejpam-5401	274	54	,	,	PUNCT
ejpam-5401	274	55	v	v	NOUN
ejpam-5401	274	56	ψ	ψ	NOUN
ejpam-5401	274	57	)	)	PUNCT
ejpam-5401	274	58	pc	pc	NOUN
ejpam-5401	274	59	.	.	PUNCT
ejpam-5401	275	1	remark	remark	VERB
ejpam-5401	275	2	4	4	NUM
ejpam-5401	275	3	.	.	PUNCT
ejpam-5401	276	1	let	let	VERB
ejpam-5401	276	2	(	(	PUNCT
ejpam-5401	276	3	up	up	ADP
ejpam-5401	276	4	,	,	PUNCT
ejpam-5401	276	5	τpc	τpc	NOUN
ejpam-5401	276	6	,	,	PUNCT
ejpam-5401	276	7	vψ	vψ	AUX
ejpam-5401	276	8	)	)	PUNCT
ejpam-5401	276	9	be	be	AUX
ejpam-5401	276	10	a	a	DET
ejpam-5401	276	11	pchst	pchst	ADJ
ejpam-5401	276	12	space	space	NOUN
ejpam-5401	276	13	over	over	ADP
ejpam-5401	276	14	up	up	ADP
ejpam-5401	276	15	,	,	PUNCT
ejpam-5401	276	16	then	then	ADV
ejpam-5401	276	17	:	:	PUNCT
ejpam-5401	277	1	n.	n.	PROPN
ejpam-5401	277	2	k.	k.	PROPN
ejpam-5401	277	3	ahmed	ahmed	PROPN
ejpam-5401	277	4	,	,	PUNCT
ejpam-5401	277	5	o.	o.	PROPN
ejpam-5401	277	6	t.	t.	PROPN
ejpam-5401	277	7	pirbal	pirbal	PROPN
ejpam-5401	277	8	/	/	SYM
ejpam-5401	277	9	eur	eur	PROPN
ejpam-5401	277	10	.	.	PUNCT
ejpam-5401	278	1	j.	j.	PROPN
ejpam-5401	278	2	pure	pure	PROPN
ejpam-5401	278	3	appl	appl	PROPN
ejpam-5401	278	4	.	.	PROPN
ejpam-5401	278	5	math	math	PROPN
ejpam-5401	278	6	,	,	PUNCT
ejpam-5401	278	7	17	17	NUM
ejpam-5401	278	8	(	(	PUNCT
ejpam-5401	278	9	4	4	NUM
ejpam-5401	278	10	)	)	PUNCT
ejpam-5401	278	11	(	(	PUNCT
ejpam-5401	278	12	2024	2024	NUM
ejpam-5401	278	13	)	)	PUNCT
ejpam-5401	278	14	,	,	PUNCT
ejpam-5401	278	15	3043	3043	NUM
ejpam-5401	278	16	-	-	SYM
ejpam-5401	278	17	3060	3060	NUM
ejpam-5401	278	18	3051	3051	NUM
ejpam-5401	278	19	(	(	PUNCT
ejpam-5401	278	20	i	i	NOUN
ejpam-5401	278	21	)	)	PUNCT
ejpam-5401	278	22	if	if	SCONJ
ejpam-5401	278	23	(	(	PUNCT
ejpam-5401	278	24	γ	γ	X
ejpam-5401	278	25	,	,	PUNCT
ejpam-5401	278	26	c	c	NOUN
ejpam-5401	278	27	,	,	PUNCT
ejpam-5401	278	28	v	v	NOUN
ejpam-5401	278	29	ψ	ψ	NOUN
ejpam-5401	278	30	)	)	PUNCT
ejpam-5401	278	31	pc	pc	NOUN
ejpam-5401	278	32	is	be	AUX
ejpam-5401	278	33	a	a	DET
ejpam-5401	278	34	pchs	pchs	ADJ
ejpam-5401	278	35	neighborhood	neighborhood	NOUN
ejpam-5401	278	36	of	of	ADP
ejpam-5401	278	37	x∈up	x∈up	NOUN
ejpam-5401	278	38	,	,	PUNCT
ejpam-5401	278	39	then	then	ADV
ejpam-5401	278	40	x	x	SYM
ejpam-5401	278	41	∈	∈	PROPN
ejpam-5401	278	42	(	(	PUNCT
ejpam-5401	278	43	γ	γ	X
ejpam-5401	278	44	,	,	PUNCT
ejpam-5401	278	45	c	c	NOUN
ejpam-5401	278	46	,	,	PUNCT
ejpam-5401	278	47	v	v	NOUN
ejpam-5401	278	48	ψ	ψ	NOUN
ejpam-5401	278	49	)	)	PUNCT
ejpam-5401	278	50	pc	pc	NOUN
ejpam-5401	278	51	.	.	PUNCT
ejpam-5401	279	1	(	(	PUNCT
ejpam-5401	279	2	ii	ii	NOUN
ejpam-5401	279	3	)	)	PUNCT
ejpam-5401	279	4	each	each	DET
ejpam-5401	279	5	x∈up	x∈up	NOUN
ejpam-5401	279	6	has	have	VERB
ejpam-5401	279	7	a	a	DET
ejpam-5401	279	8	pchs	pchs	ADJ
ejpam-5401	279	9	neighborhood	neighborhood	NOUN
ejpam-5401	279	10	.	.	PUNCT
ejpam-5401	280	1	(	(	PUNCT
ejpam-5401	280	2	iii	iii	X
ejpam-5401	280	3	)	)	PUNCT
ejpam-5401	280	4	if	if	SCONJ
ejpam-5401	280	5	(	(	PUNCT
ejpam-5401	280	6	γ	γ	X
ejpam-5401	280	7	,	,	PUNCT
ejpam-5401	280	8	c	c	NOUN
ejpam-5401	280	9	,	,	PUNCT
ejpam-5401	280	10	v	v	NOUN
ejpam-5401	280	11	ψ	ψ	NOUN
ejpam-5401	280	12	)	)	PUNCT
ejpam-5401	280	13	pc	pc	NOUN
ejpam-5401	280	14	and	and	CCONJ
ejpam-5401	280	15	(	(	PUNCT
ejpam-5401	280	16	γ∗	γ∗	PROPN
ejpam-5401	280	17	,	,	PUNCT
ejpam-5401	280	18	c∗	c∗	PROPN
ejpam-5401	280	19	,	,	PUNCT
ejpam-5401	280	20	v	v	NOUN
ejpam-5401	280	21	ψ	ψ	NOUN
ejpam-5401	280	22	)	)	PUNCT
ejpam-5401	280	23	pc	pc	NOUN
ejpam-5401	280	24	are	be	AUX
ejpam-5401	280	25	pchs	pchs	ADJ
ejpam-5401	280	26	neighborhoods	neighborhood	NOUN
ejpam-5401	280	27	of	of	ADP
ejpam-5401	280	28	some	some	DET
ejpam-5401	280	29	x∈up	x∈up	NOUN
ejpam-5401	280	30	,	,	PUNCT
ejpam-5401	280	31	then	then	ADV
ejpam-5401	280	32	(	(	PUNCT
ejpam-5401	280	33	γ	γ	X
ejpam-5401	280	34	,	,	PUNCT
ejpam-5401	280	35	c	c	NOUN
ejpam-5401	280	36	,	,	PUNCT
ejpam-5401	280	37	v	v	NOUN
ejpam-5401	280	38	ψ	ψ	NOUN
ejpam-5401	280	39	)	)	PUNCT
ejpam-5401	280	40	pc	pc	NOUN
ejpam-5401	280	41	≍	≍	VERB
ejpam-5401	280	42	⊓	⊓	PROPN
ejpam-5401	280	43	(	(	PUNCT
ejpam-5401	280	44	γ	γ	X
ejpam-5401	280	45	,	,	PUNCT
ejpam-5401	280	46	c	c	NOUN
ejpam-5401	280	47	,	,	PUNCT
ejpam-5401	280	48	v	v	NOUN
ejpam-5401	280	49	ψ	ψ	NOUN
ejpam-5401	280	50	)	)	PUNCT
ejpam-5401	280	51	pc	pc	NOUN
ejpam-5401	280	52	is	be	AUX
ejpam-5401	280	53	also	also	ADV
ejpam-5401	280	54	a	a	DET
ejpam-5401	280	55	pchs	pchs	ADJ
ejpam-5401	280	56	neighborhood	neighborhood	NOUN
ejpam-5401	280	57	of	of	ADP
ejpam-5401	280	58	x.	x.	NOUN
ejpam-5401	280	59	(	(	PUNCT
ejpam-5401	280	60	iv	iv	X
ejpam-5401	280	61	)	)	PUNCT
ejpam-5401	280	62	if	if	SCONJ
ejpam-5401	280	63	(	(	PUNCT
ejpam-5401	280	64	γ	γ	X
ejpam-5401	280	65	,	,	PUNCT
ejpam-5401	280	66	c	c	NOUN
ejpam-5401	280	67	,	,	PUNCT
ejpam-5401	280	68	v	v	NOUN
ejpam-5401	280	69	ψ	ψ	NOUN
ejpam-5401	280	70	)	)	PUNCT
ejpam-5401	280	71	pc	pc	NOUN
ejpam-5401	280	72	is	be	AUX
ejpam-5401	280	73	a	a	DET
ejpam-5401	280	74	pchs	pchs	ADJ
ejpam-5401	280	75	neighborhood	neighborhood	NOUN
ejpam-5401	280	76	of	of	ADP
ejpam-5401	280	77	x∈up	x∈up	NOUN
ejpam-5401	280	78	and	and	CCONJ
ejpam-5401	281	1	(	(	PUNCT
ejpam-5401	281	2	γ	γ	PROPN
ejpam-5401	281	3	,	,	PUNCT
ejpam-5401	281	4	c	c	NOUN
ejpam-5401	281	5	,	,	PUNCT
ejpam-5401	281	6	v	v	NOUN
ejpam-5401	281	7	ψ	ψ	NOUN
ejpam-5401	281	8	)	)	PUNCT
ejpam-5401	281	9	pc	pc	NOUN
ejpam-5401	281	10	≍	≍	PROPN
ejpam-5401	281	11	⊑	⊑	X
ejpam-5401	281	12	(	(	PUNCT
ejpam-5401	281	13	γ∗	γ∗	PROPN
ejpam-5401	281	14	,	,	PUNCT
ejpam-5401	281	15	c∗	c∗	PROPN
ejpam-5401	281	16	,	,	PUNCT
ejpam-5401	281	17	v	v	NOUN
ejpam-5401	281	18	ψ	ψ	NOUN
ejpam-5401	281	19	)	)	PUNCT
ejpam-5401	281	20	pc	pc	NOUN
ejpam-5401	281	21	,	,	PUNCT
ejpam-5401	281	22	then	then	ADV
ejpam-5401	281	23	(	(	PUNCT
ejpam-5401	281	24	γ∗	γ∗	PROPN
ejpam-5401	281	25	,	,	PUNCT
ejpam-5401	281	26	c∗	c∗	PROPN
ejpam-5401	281	27	,	,	PUNCT
ejpam-5401	281	28	v	v	NOUN
ejpam-5401	281	29	ψ	ψ	NOUN
ejpam-5401	281	30	)	)	PUNCT
ejpam-5401	281	31	pc	pc	NOUN
ejpam-5401	281	32	is	be	AUX
ejpam-5401	281	33	also	also	ADV
ejpam-5401	281	34	a	a	DET
ejpam-5401	281	35	pchs	pchs	ADJ
ejpam-5401	281	36	neighborhood	neighborhood	NOUN
ejpam-5401	281	37	of	of	ADP
ejpam-5401	281	38	x∈up	x∈up	NOUN
ejpam-5401	281	39	.	.	PUNCT
ejpam-5401	282	1	remark	remark	PROPN
ejpam-5401	282	2	5	5	NUM
ejpam-5401	282	3	.	.	PUNCT
ejpam-5401	283	1	let	let	AUX
ejpam-5401	283	2	let	let	VERB
ejpam-5401	283	3	(	(	PUNCT
ejpam-5401	283	4	up	up	ADP
ejpam-5401	283	5	,	,	PUNCT
ejpam-5401	283	6	τpc	τpc	NOUN
ejpam-5401	283	7	,	,	PUNCT
ejpam-5401	283	8	vψ	vψ	AUX
ejpam-5401	283	9	)	)	PUNCT
ejpam-5401	283	10	be	be	AUX
ejpam-5401	283	11	a	a	DET
ejpam-5401	283	12	pchst	pchst	ADJ
ejpam-5401	283	13	space	space	NOUN
ejpam-5401	283	14	over	over	ADP
ejpam-5401	283	15	up	up	ADP
ejpam-5401	283	16	and	and	CCONJ
ejpam-5401	283	17	(	(	PUNCT
ejpam-5401	283	18	γ	γ	X
ejpam-5401	283	19	,	,	PUNCT
ejpam-5401	283	20	c	c	NOUN
ejpam-5401	283	21	,	,	PUNCT
ejpam-5401	283	22	v	v	NOUN
ejpam-5401	283	23	ψ	ψ	NOUN
ejpam-5401	283	24	)	)	PUNCT
ejpam-5401	283	25	pc	pc	NOUN
ejpam-5401	283	26	∈	∈	NOUN
ejpam-5401	283	27	τpc	τpc	NOUN
ejpam-5401	283	28	.	.	PUNCT
ejpam-5401	284	1	then	then	ADV
ejpam-5401	284	2	for	for	ADP
ejpam-5401	284	3	any	any	DET
ejpam-5401	284	4	x	x	NOUN
ejpam-5401	284	5	in	in	ADP
ejpam-5401	284	6	image	image	NOUN
ejpam-5401	284	7	of	of	ADP
ejpam-5401	284	8	γ	γ	X
ejpam-5401	284	9	(	(	PUNCT
ejpam-5401	284	10	β	β	NOUN
ejpam-5401	284	11	)	)	PUNCT
ejpam-5401	284	12	for	for	ADP
ejpam-5401	284	13	β	β	PROPN
ejpam-5401	284	14	∈	∈	PROPN
ejpam-5401	284	15	vψ	vψ	ADP
ejpam-5401	284	16	,	,	PUNCT
ejpam-5401	284	17	we	we	PRON
ejpam-5401	284	18	have	have	VERB
ejpam-5401	284	19	x	x	SYM
ejpam-5401	284	20	∈	∈	PROPN
ejpam-5401	284	21	(	(	PUNCT
ejpam-5401	284	22	γ	γ	X
ejpam-5401	284	23	,	,	PUNCT
ejpam-5401	284	24	c	c	NOUN
ejpam-5401	284	25	,	,	PUNCT
ejpam-5401	284	26	v	v	NOUN
ejpam-5401	284	27	ψ	ψ	NOUN
ejpam-5401	284	28	)	)	PUNCT
ejpam-5401	284	29	pc	pc	NOUN
ejpam-5401	284	30	≍	≍	PROPN
ejpam-5401	284	31	⊑	⊑	X
ejpam-5401	284	32	(	(	PUNCT
ejpam-5401	284	33	γ	γ	X
ejpam-5401	284	34	,	,	PUNCT
ejpam-5401	284	35	c	c	NOUN
ejpam-5401	284	36	,	,	PUNCT
ejpam-5401	284	37	v	v	NOUN
ejpam-5401	284	38	ψ	ψ	NOUN
ejpam-5401	284	39	)	)	PUNCT
ejpam-5401	284	40	pc	pc	NOUN
ejpam-5401	285	1	and	and	CCONJ
ejpam-5401	285	2	so	so	ADV
ejpam-5401	285	3	(	(	PUNCT
ejpam-5401	285	4	γ	γ	X
ejpam-5401	285	5	,	,	PUNCT
ejpam-5401	285	6	c	c	NOUN
ejpam-5401	285	7	,	,	PUNCT
ejpam-5401	285	8	v	v	NOUN
ejpam-5401	285	9	ψ	ψ	NOUN
ejpam-5401	285	10	)	)	PUNCT
ejpam-5401	285	11	pc	pc	NOUN
ejpam-5401	285	12	is	be	AUX
ejpam-5401	285	13	a	a	DET
ejpam-5401	285	14	pchs	pchs	ADJ
ejpam-5401	285	15	neighborhood	neighborhood	NOUN
ejpam-5401	285	16	of	of	ADP
ejpam-5401	285	17	each	each	DET
ejpam-5401	285	18	its	its	PRON
ejpam-5401	285	19	points	point	NOUN
ejpam-5401	285	20	.	.	PUNCT
ejpam-5401	286	1	but	but	CCONJ
ejpam-5401	286	2	the	the	DET
ejpam-5401	286	3	converse	converse	NOUN
ejpam-5401	286	4	of	of	ADP
ejpam-5401	286	5	it	it	PRON
ejpam-5401	286	6	may	may	AUX
ejpam-5401	286	7	not	not	PART
ejpam-5401	286	8	be	be	AUX
ejpam-5401	286	9	true	true	ADJ
ejpam-5401	286	10	.	.	PUNCT
ejpam-5401	287	1	see	see	VERB
ejpam-5401	287	2	the	the	DET
ejpam-5401	287	3	next	next	ADJ
ejpam-5401	287	4	example	example	NOUN
ejpam-5401	287	5	.	.	PUNCT
ejpam-5401	288	1	example	example	NOUN
ejpam-5401	289	1	3	3	X
ejpam-5401	289	2	.	.	X
ejpam-5401	289	3	consider	consider	VERB
ejpam-5401	289	4	the	the	DET
ejpam-5401	289	5	pchst	pchst	ADJ
ejpam-5401	289	6	space	space	NOUN
ejpam-5401	289	7	(	(	PUNCT
ejpam-5401	289	8	up	up	ADP
ejpam-5401	289	9	,	,	PUNCT
ejpam-5401	289	10	τpc	τpc	NOUN
ejpam-5401	289	11	,	,	PUNCT
ejpam-5401	289	12	vψ	vψ	X
ejpam-5401	289	13	)	)	PUNCT
ejpam-5401	289	14	in	in	ADP
ejpam-5401	289	15	example	example	NOUN
ejpam-5401	290	1	2	2	X
ejpam-5401	290	2	.	.	PUNCT
ejpam-5401	290	3	now	now	ADV
ejpam-5401	290	4	,	,	PUNCT
ejpam-5401	290	5	cosider	cosider	VERB
ejpam-5401	290	6	the	the	DET
ejpam-5401	290	7	following	follow	VERB
ejpam-5401	290	8	pchs	pch	NOUN
ejpam-5401	290	9	set	set	VERB
ejpam-5401	290	10	:	:	PUNCT
ejpam-5401	290	11	(	(	PUNCT
ejpam-5401	290	12	γ∗	γ∗	PROPN
ejpam-5401	290	13	,	,	PUNCT
ejpam-5401	290	14	c∗	c∗	PROPN
ejpam-5401	290	15	,	,	PUNCT
ejpam-5401	290	16	vψ)pc	vψ)pc	X
ejpam-5401	290	17	=	=	PUNCT
ejpam-5401	290	18	{	{	PUNCT
ejpam-5401	290	19	<	<	X
ejpam-5401	290	20	(	(	PUNCT
ejpam-5401	290	21	α	α	NOUN
ejpam-5401	290	22	)	)	PUNCT
ejpam-5401	290	23	,	,	PUNCT
ejpam-5401	290	24	{	{	PUNCT
ejpam-5401	290	25	x1	x1	NOUN
ejpam-5401	290	26	(	(	PUNCT
ejpam-5401	290	27	1	1	NUM
ejpam-5401	290	28	,	,	PUNCT
ejpam-5401	290	29	1	1	NUM
ejpam-5401	290	30	,	,	PUNCT
ejpam-5401	290	31	0	0	NUM
ejpam-5401	290	32	)	)	PUNCT
ejpam-5401	290	33	,	,	PUNCT
ejpam-5401	290	34	x3	x3	VERB
ejpam-5401	290	35	(	(	PUNCT
ejpam-5401	290	36	1	1	NUM
ejpam-5401	290	37	,	,	PUNCT
ejpam-5401	290	38	1	1	NUM
ejpam-5401	290	39	,	,	PUNCT
ejpam-5401	290	40	0	0	NUM
ejpam-5401	290	41	)	)	PUNCT
ejpam-5401	290	42	,	,	PUNCT
ejpam-5401	290	43	x4	x4	PROPN
ejpam-5401	290	44	(	(	PUNCT
ejpam-5401	290	45	1	1	NUM
ejpam-5401	290	46	,	,	PUNCT
ejpam-5401	290	47	1	1	NUM
ejpam-5401	290	48	,	,	PUNCT
ejpam-5401	290	49	0	0	NUM
ejpam-5401	290	50	)	)	PUNCT
ejpam-5401	290	51	}	}	PUNCT
ejpam-5401	290	52	>	>	PUNCT
ejpam-5401	290	53	,	,	PUNCT
ejpam-5401	290	54	<	<	X
ejpam-5401	290	55	(	(	PUNCT
ejpam-5401	290	56	β	β	NOUN
ejpam-5401	290	57	)	)	PUNCT
ejpam-5401	290	58	,	,	PUNCT
ejpam-5401	290	59	{	{	PUNCT
ejpam-5401	290	60	x2	x2	X
ejpam-5401	290	61	(	(	PUNCT
ejpam-5401	290	62	1	1	NUM
ejpam-5401	290	63	,	,	PUNCT
ejpam-5401	290	64	1	1	NUM
ejpam-5401	290	65	,	,	PUNCT
ejpam-5401	290	66	0	0	NUM
ejpam-5401	290	67	)	)	PUNCT
ejpam-5401	290	68	,	,	PUNCT
ejpam-5401	290	69	x3	x3	VERB
ejpam-5401	290	70	(	(	PUNCT
ejpam-5401	290	71	1	1	NUM
ejpam-5401	290	72	,	,	PUNCT
ejpam-5401	290	73	1	1	NUM
ejpam-5401	290	74	,	,	PUNCT
ejpam-5401	290	75	0	0	NUM
ejpam-5401	290	76	)	)	PUNCT
ejpam-5401	290	77	>	>	PUNCT
ejpam-5401	290	78	}	}	PUNCT
ejpam-5401	290	79	is	be	AUX
ejpam-5401	290	80	a	a	DET
ejpam-5401	290	81	pchs	pchs	ADJ
ejpam-5401	290	82	neighborhood	neighborhood	NOUN
ejpam-5401	290	83	of	of	ADP
ejpam-5401	290	84	each	each	PRON
ejpam-5401	290	85	of	of	ADP
ejpam-5401	290	86	its	its	PRON
ejpam-5401	290	87	points	point	NOUN
ejpam-5401	290	88	,	,	PUNCT
ejpam-5401	290	89	but	but	CCONJ
ejpam-5401	290	90	it	it	PRON
ejpam-5401	290	91	is	be	AUX
ejpam-5401	290	92	not	not	PART
ejpam-5401	290	93	a	a	DET
ejpam-5401	290	94	pchs	pch	NOUN
ejpam-5401	290	95	open	open	ADJ
ejpam-5401	290	96	set	set	NOUN
ejpam-5401	290	97	.	.	PUNCT
ejpam-5401	291	1	definition	definition	NOUN
ejpam-5401	291	2	29	29	NUM
ejpam-5401	291	3	.	.	PUNCT
ejpam-5401	292	1	let	let	VERB
ejpam-5401	292	2	(	(	PUNCT
ejpam-5401	292	3	up	up	ADP
ejpam-5401	292	4	,	,	PUNCT
ejpam-5401	292	5	τpc	τpc	NOUN
ejpam-5401	292	6	,	,	PUNCT
ejpam-5401	292	7	vψ	vψ	AUX
ejpam-5401	292	8	)	)	PUNCT
ejpam-5401	292	9	be	be	AUX
ejpam-5401	292	10	a	a	DET
ejpam-5401	292	11	pchst	pchst	ADJ
ejpam-5401	292	12	space	space	NOUN
ejpam-5401	292	13	over	over	ADP
ejpam-5401	292	14	up	up	ADV
ejpam-5401	292	15	and	and	CCONJ
ejpam-5401	292	16	let	let	VERB
ejpam-5401	292	17	(	(	PUNCT
ejpam-5401	292	18	γ	γ	X
ejpam-5401	292	19	,	,	PUNCT
ejpam-5401	292	20	c	c	NOUN
ejpam-5401	292	21	,	,	PUNCT
ejpam-5401	292	22	v	v	NOUN
ejpam-5401	292	23	ψ	ψ	NOUN
ejpam-5401	292	24	)	)	PUNCT
ejpam-5401	292	25	pc	pc	NOUN
ejpam-5401	292	26	be	be	AUX
ejpam-5401	292	27	a	a	DET
ejpam-5401	292	28	pchs	pch	NOUN
ejpam-5401	292	29	set	set	VERB
ejpam-5401	292	30	over	over	ADP
ejpam-5401	292	31	up	up	ADP
ejpam-5401	292	32	.	.	PUNCT
ejpam-5401	293	1	a	a	DET
ejpam-5401	293	2	point	point	NOUN
ejpam-5401	293	3	x	x	X
ejpam-5401	293	4	∈	∈	NOUN
ejpam-5401	293	5	up	up	ADV
ejpam-5401	293	6	is	be	AUX
ejpam-5401	293	7	called	call	VERB
ejpam-5401	293	8	a	a	DET
ejpam-5401	293	9	pchs	pchs	ADJ
ejpam-5401	293	10	limit	limit	NOUN
ejpam-5401	293	11	point	point	NOUN
ejpam-5401	293	12	of	of	ADP
ejpam-5401	293	13	(	(	PUNCT
ejpam-5401	293	14	γ	γ	X
ejpam-5401	293	15	,	,	PUNCT
ejpam-5401	293	16	c	c	NOUN
ejpam-5401	293	17	,	,	PUNCT
ejpam-5401	293	18	v	v	NOUN
ejpam-5401	293	19	ψ	ψ	NOUN
ejpam-5401	293	20	)	)	PUNCT
ejpam-5401	293	21	pc	pc	NOUN
ejpam-5401	293	22	if	if	SCONJ
ejpam-5401	293	23	(	(	PUNCT
ejpam-5401	293	24	γ	γ	X
ejpam-5401	293	25	,	,	PUNCT
ejpam-5401	293	26	c	c	NOUN
ejpam-5401	293	27	,	,	PUNCT
ejpam-5401	293	28	v	v	NOUN
ejpam-5401	293	29	ψ	ψ	NOUN
ejpam-5401	293	30	)	)	PUNCT
ejpam-5401	293	31	pc	pc	NOUN
ejpam-5401	293	32	≍	≍	VERB
ejpam-5401	293	33	⊓	⊓	NOUN
ejpam-5401	294	1	[	[	X
ejpam-5401	294	2	(	(	PUNCT
ejpam-5401	294	3	γ∗	γ∗	PROPN
ejpam-5401	294	4	,	,	PUNCT
ejpam-5401	294	5	c∗	c∗	PROPN
ejpam-5401	294	6	,	,	PUNCT
ejpam-5401	294	7	v	v	NOUN
ejpam-5401	294	8	ψ	ψ	NOUN
ejpam-5401	294	9	)	)	PUNCT
ejpam-5401	294	10	pc	pc	NOUN
ejpam-5401	294	11	≍	≍	PROPN
ejpam-5401	294	12	\	\	X
ejpam-5401	294	13	{	{	PUNCT
ejpam-5401	294	14	x	x	NOUN
ejpam-5401	294	15	}	}	PUNCT
ejpam-5401	294	16	]	]	PUNCT
ejpam-5401	294	17	≍	≍	PROPN
ejpam-5401	294	18	̸=	̸=	PROPN
ejpam-5401	294	19	(	(	PUNCT
ejpam-5401	294	20	φ	φ	PROPN
ejpam-5401	294	21	,	,	PUNCT
ejpam-5401	294	22	c	c	NOUN
ejpam-5401	294	23	,	,	PUNCT
ejpam-5401	294	24	v	v	NOUN
ejpam-5401	294	25	ψ	ψ	NOUN
ejpam-5401	294	26	)	)	PUNCT
ejpam-5401	294	27	pc	pc	NOUN
ejpam-5401	294	28	for	for	ADP
ejpam-5401	294	29	every	every	DET
ejpam-5401	294	30	pchs	pch	NOUN
ejpam-5401	294	31	open	open	ADJ
ejpam-5401	294	32	set	set	NOUN
ejpam-5401	294	33	(	(	PUNCT
ejpam-5401	294	34	γ∗	γ∗	PROPN
ejpam-5401	294	35	,	,	PUNCT
ejpam-5401	294	36	c∗	c∗	PROPN
ejpam-5401	294	37	,	,	PUNCT
ejpam-5401	294	38	v	v	NOUN
ejpam-5401	294	39	ψ	ψ	NOUN
ejpam-5401	294	40	)	)	PUNCT
ejpam-5401	294	41	pc	pc	NOUN
ejpam-5401	294	42	containing	contain	VERB
ejpam-5401	294	43	x.	x.	NOUN
ejpam-5401	295	1	the	the	DET
ejpam-5401	295	2	set	set	NOUN
ejpam-5401	295	3	of	of	ADP
ejpam-5401	295	4	all	all	DET
ejpam-5401	295	5	pchs	pch	NOUN
ejpam-5401	295	6	limit	limit	VERB
ejpam-5401	295	7	points	point	NOUN
ejpam-5401	295	8	of	of	ADP
ejpam-5401	295	9	(	(	PUNCT
ejpam-5401	295	10	γ	γ	X
ejpam-5401	295	11	,	,	PUNCT
ejpam-5401	295	12	c	c	NOUN
ejpam-5401	295	13	,	,	PUNCT
ejpam-5401	295	14	v	v	NOUN
ejpam-5401	295	15	ψ	ψ	NOUN
ejpam-5401	295	16	)	)	PUNCT
ejpam-5401	295	17	pc	pc	NOUN
ejpam-5401	295	18	is	be	AUX
ejpam-5401	295	19	denoted	denote	VERB
ejpam-5401	295	20	by	by	ADP
ejpam-5401	295	21	(	(	PUNCT
ejpam-5401	295	22	γ	γ	X
ejpam-5401	295	23	,	,	PUNCT
ejpam-5401	295	24	c	c	NOUN
ejpam-5401	295	25	,	,	PUNCT
ejpam-5401	295	26	v	v	NOUN
ejpam-5401	295	27	ψ	ψ	NOUN
ejpam-5401	295	28	)	)	PUNCT
ejpam-5401	295	29	d	d	NOUN
ejpam-5401	295	30	pc	pc	NOUN
ejpam-5401	295	31	.	.	PUNCT
ejpam-5401	296	1	proposition	proposition	NOUN
ejpam-5401	296	2	4	4	NUM
ejpam-5401	296	3	.	.	PUNCT
ejpam-5401	297	1	let	let	VERB
ejpam-5401	297	2	(	(	PUNCT
ejpam-5401	297	3	up	up	ADP
ejpam-5401	297	4	,	,	PUNCT
ejpam-5401	297	5	τpc	τpc	NOUN
ejpam-5401	297	6	,	,	PUNCT
ejpam-5401	297	7	vψ	vψ	AUX
ejpam-5401	297	8	)	)	PUNCT
ejpam-5401	297	9	be	be	AUX
ejpam-5401	297	10	a	a	DET
ejpam-5401	297	11	pchs	pchs	ADJ
ejpam-5401	297	12	space	space	NOUN
ejpam-5401	297	13	over	over	ADP
ejpam-5401	297	14	up	up	ADV
ejpam-5401	297	15	and	and	CCONJ
ejpam-5401	297	16	let	let	VERB
ejpam-5401	297	17	(	(	PUNCT
ejpam-5401	297	18	γ1	γ1	PROPN
ejpam-5401	297	19	,	,	PUNCT
ejpam-5401	297	20	c1	c1	PROPN
ejpam-5401	297	21	,	,	PUNCT
ejpam-5401	297	22	v	v	NOUN
ejpam-5401	297	23	ψ	ψ	NOUN
ejpam-5401	297	24	)	)	PUNCT
ejpam-5401	297	25	pc	pc	NOUN
ejpam-5401	297	26	,	,	PUNCT
ejpam-5401	297	27	(	(	PUNCT
ejpam-5401	297	28	γ2	γ2	PROPN
ejpam-5401	297	29	,	,	PUNCT
ejpam-5401	297	30	c2	c2	PROPN
ejpam-5401	297	31	,	,	PUNCT
ejpam-5401	297	32	v	v	NOUN
ejpam-5401	297	33	ψ	ψ	NOUN
ejpam-5401	297	34	)	)	PUNCT
ejpam-5401	297	35	pc	pc	NOUN
ejpam-5401	297	36	be	be	VERB
ejpam-5401	297	37	two	two	NUM
ejpam-5401	297	38	pchs	pch	NOUN
ejpam-5401	297	39	sets	set	NOUN
ejpam-5401	297	40	over	over	ADP
ejpam-5401	297	41	up	up	ADP
ejpam-5401	297	42	.	.	PUNCT
ejpam-5401	298	1	then	then	ADV
ejpam-5401	298	2	:	:	PUNCT
ejpam-5401	298	3	(	(	PUNCT
ejpam-5401	298	4	i	i	NOUN
ejpam-5401	298	5	)	)	PUNCT
ejpam-5401	298	6	(	(	PUNCT
ejpam-5401	298	7	γ1	γ1	PROPN
ejpam-5401	298	8	,	,	PUNCT
ejpam-5401	298	9	c1	c1	PROPN
ejpam-5401	298	10	,	,	PUNCT
ejpam-5401	298	11	v	v	NOUN
ejpam-5401	298	12	ψ	ψ	NOUN
ejpam-5401	298	13	)	)	PUNCT
ejpam-5401	298	14	pc	pc	NOUN
ejpam-5401	298	15	≍	≍	PROPN
ejpam-5401	298	16	⊑	⊑	X
ejpam-5401	298	17	(	(	PUNCT
ejpam-5401	298	18	γ2	γ2	PROPN
ejpam-5401	298	19	,	,	PUNCT
ejpam-5401	298	20	c2	c2	PROPN
ejpam-5401	298	21	,	,	PUNCT
ejpam-5401	298	22	v	v	NOUN
ejpam-5401	298	23	ψ	ψ	NOUN
ejpam-5401	298	24	)	)	PUNCT
ejpam-5401	298	25	pc	pc	NOUN
ejpam-5401	298	26	implies	imply	VERB
ejpam-5401	298	27	(	(	PUNCT
ejpam-5401	298	28	γ1	γ1	PROPN
ejpam-5401	298	29	,	,	PUNCT
ejpam-5401	298	30	c1	c1	PROPN
ejpam-5401	298	31	,	,	PUNCT
ejpam-5401	298	32	v	v	NOUN
ejpam-5401	298	33	ψ	ψ	NOUN
ejpam-5401	298	34	)	)	PUNCT
ejpam-5401	298	35	d	d	X
ejpam-5401	298	36	pc	pc	NOUN
ejpam-5401	298	37	≍	≍	PROPN
ejpam-5401	298	38	⊑	⊑	X
ejpam-5401	298	39	(	(	PUNCT
ejpam-5401	298	40	γ2	γ2	PROPN
ejpam-5401	298	41	,	,	PUNCT
ejpam-5401	298	42	c2	c2	PROPN
ejpam-5401	298	43	,	,	PUNCT
ejpam-5401	298	44	v	v	NOUN
ejpam-5401	298	45	ψ	ψ	NOUN
ejpam-5401	298	46	)	)	PUNCT
ejpam-5401	298	47	d	d	NOUN
ejpam-5401	298	48	pc	pc	NOUN
ejpam-5401	298	49	.	.	PUNCT
ejpam-5401	299	1	(	(	PUNCT
ejpam-5401	299	2	ii	ii	NOUN
ejpam-5401	299	3	)	)	PUNCT
ejpam-5401	300	1	[	[	X
ejpam-5401	300	2	(	(	PUNCT
ejpam-5401	300	3	γ1	γ1	PROPN
ejpam-5401	300	4	,	,	PUNCT
ejpam-5401	300	5	c1	c1	PROPN
ejpam-5401	300	6	,	,	PUNCT
ejpam-5401	300	7	v	v	NOUN
ejpam-5401	300	8	ψ	ψ	NOUN
ejpam-5401	300	9	)	)	PUNCT
ejpam-5401	300	10	pc	pc	NOUN
ejpam-5401	300	11	≍	≍	VERB
ejpam-5401	300	12	⊓	⊓	PROPN
ejpam-5401	300	13	(	(	PUNCT
ejpam-5401	300	14	γ2	γ2	PROPN
ejpam-5401	300	15	,	,	PUNCT
ejpam-5401	300	16	c2	c2	PROPN
ejpam-5401	300	17	,	,	PUNCT
ejpam-5401	300	18	v	v	NOUN
ejpam-5401	300	19	ψ	ψ	NOUN
ejpam-5401	300	20	)	)	PUNCT
ejpam-5401	300	21	pc	pc	NOUN
ejpam-5401	300	22	]	]	PUNCT
ejpam-5401	300	23	d	d	X
ejpam-5401	300	24	≍	≍	PROPN
ejpam-5401	300	25	⊑	⊑	X
ejpam-5401	300	26	(	(	PUNCT
ejpam-5401	300	27	γ1	γ1	PROPN
ejpam-5401	300	28	,	,	PUNCT
ejpam-5401	300	29	c1	c1	PROPN
ejpam-5401	300	30	,	,	PUNCT
ejpam-5401	300	31	v	v	NOUN
ejpam-5401	300	32	ψ	ψ	NOUN
ejpam-5401	300	33	)	)	PUNCT
ejpam-5401	300	34	d	d	NOUN
ejpam-5401	300	35	pc	pc	NOUN
ejpam-5401	300	36	≍	≍	VERB
ejpam-5401	300	37	⊓	⊓	PROPN
ejpam-5401	300	38	(	(	PUNCT
ejpam-5401	300	39	γ2	γ2	PROPN
ejpam-5401	300	40	,	,	PUNCT
ejpam-5401	300	41	c2	c2	PROPN
ejpam-5401	300	42	,	,	PUNCT
ejpam-5401	300	43	v	v	NOUN
ejpam-5401	300	44	ψ	ψ	NOUN
ejpam-5401	300	45	)	)	PUNCT
ejpam-5401	300	46	d	d	NOUN
ejpam-5401	300	47	pc	pc	NOUN
ejpam-5401	300	48	.	.	PUNCT
ejpam-5401	301	1	(	(	PUNCT
ejpam-5401	301	2	iii	iii	X
ejpam-5401	301	3	)	)	PUNCT
ejpam-5401	302	1	[	[	X
ejpam-5401	302	2	(	(	PUNCT
ejpam-5401	302	3	γ1	γ1	PROPN
ejpam-5401	302	4	,	,	PUNCT
ejpam-5401	302	5	c1	c1	PROPN
ejpam-5401	302	6	,	,	PUNCT
ejpam-5401	302	7	v	v	NOUN
ejpam-5401	302	8	ψ	ψ	NOUN
ejpam-5401	302	9	)	)	PUNCT
ejpam-5401	302	10	pc	pc	NOUN
ejpam-5401	302	11	≍	≍	PROPN
ejpam-5401	302	12	⊔	⊔	PROPN
ejpam-5401	302	13	(	(	PUNCT
ejpam-5401	302	14	γ2	γ2	PROPN
ejpam-5401	302	15	,	,	PUNCT
ejpam-5401	302	16	c2	c2	PROPN
ejpam-5401	302	17	,	,	PUNCT
ejpam-5401	302	18	v	v	NOUN
ejpam-5401	302	19	ψ	ψ	NOUN
ejpam-5401	302	20	)	)	PUNCT
ejpam-5401	302	21	pc	pc	NOUN
ejpam-5401	302	22	]	]	PUNCT
ejpam-5401	302	23	d	d	X
ejpam-5401	302	24	≍	≍	PROPN
ejpam-5401	302	25	=	=	SYM
ejpam-5401	302	26	(	(	PUNCT
ejpam-5401	302	27	γ1	γ1	PROPN
ejpam-5401	302	28	,	,	PUNCT
ejpam-5401	302	29	c1	c1	PROPN
ejpam-5401	302	30	,	,	PUNCT
ejpam-5401	302	31	v	v	NOUN
ejpam-5401	302	32	ψ	ψ	NOUN
ejpam-5401	302	33	)	)	PUNCT
ejpam-5401	302	34	d	d	NOUN
ejpam-5401	302	35	pc	pc	NOUN
ejpam-5401	302	36	≍	≍	VERB
ejpam-5401	302	37	⊔	⊔	PROPN
ejpam-5401	302	38	(	(	PUNCT
ejpam-5401	302	39	γ2	γ2	PROPN
ejpam-5401	302	40	,	,	PUNCT
ejpam-5401	302	41	c2	c2	PROPN
ejpam-5401	302	42	,	,	PUNCT
ejpam-5401	302	43	v	v	NOUN
ejpam-5401	302	44	ψ	ψ	NOUN
ejpam-5401	302	45	)	)	PUNCT
ejpam-5401	302	46	d	d	NOUN
ejpam-5401	302	47	pc	pc	NOUN
ejpam-5401	302	48	.	.	PUNCT
ejpam-5401	303	1	proof	proof	NOUN
ejpam-5401	303	2	.	.	PUNCT
ejpam-5401	304	1	(	(	PUNCT
ejpam-5401	304	2	i	i	NOUN
ejpam-5401	304	3	)	)	PUNCT
ejpam-5401	304	4	let	let	VERB
ejpam-5401	304	5	x	x	X
ejpam-5401	304	6	∈	∈	PROPN
ejpam-5401	304	7	(	(	PUNCT
ejpam-5401	304	8	γ1	γ1	PROPN
ejpam-5401	304	9	,	,	PUNCT
ejpam-5401	304	10	c1	c1	PROPN
ejpam-5401	304	11	,	,	PUNCT
ejpam-5401	304	12	v	v	NOUN
ejpam-5401	304	13	ψ	ψ	NOUN
ejpam-5401	304	14	)	)	PUNCT
ejpam-5401	304	15	d	d	NOUN
ejpam-5401	304	16	pc	pc	NOUN
ejpam-5401	304	17	,	,	PUNCT
ejpam-5401	304	18	so	so	SCONJ
ejpam-5401	304	19	that	that	SCONJ
ejpam-5401	304	20	x	x	PRON
ejpam-5401	304	21	is	be	AUX
ejpam-5401	304	22	a	a	DET
ejpam-5401	304	23	pchs	pchs	ADJ
ejpam-5401	304	24	limit	limit	NOUN
ejpam-5401	304	25	point	point	NOUN
ejpam-5401	304	26	of	of	ADP
ejpam-5401	304	27	(	(	PUNCT
ejpam-5401	304	28	γ1	γ1	PROPN
ejpam-5401	304	29	,	,	PUNCT
ejpam-5401	304	30	c1	c1	PROPN
ejpam-5401	304	31	,	,	PUNCT
ejpam-5401	304	32	v	v	NOUN
ejpam-5401	304	33	ψ	ψ	NOUN
ejpam-5401	304	34	)	)	PUNCT
ejpam-5401	304	35	pc	pc	NOUN
ejpam-5401	304	36	,	,	PUNCT
ejpam-5401	304	37	then	then	ADV
ejpam-5401	304	38	,	,	PUNCT
ejpam-5401	304	39	it	it	PRON
ejpam-5401	304	40	follows	follow	VERB
ejpam-5401	304	41	that	that	SCONJ
ejpam-5401	304	42	(	(	PUNCT
ejpam-5401	304	43	γ1	γ1	PROPN
ejpam-5401	304	44	,	,	PUNCT
ejpam-5401	304	45	c1	c1	PROPN
ejpam-5401	304	46	,	,	PUNCT
ejpam-5401	304	47	v	v	NOUN
ejpam-5401	304	48	ψ	ψ	NOUN
ejpam-5401	304	49	)	)	PUNCT
ejpam-5401	304	50	pc	pc	NOUN
ejpam-5401	305	1	≍	≍	VERB
ejpam-5401	305	2	⊓	⊓	NOUN
ejpam-5401	306	1	[	[	X
ejpam-5401	306	2	(	(	PUNCT
ejpam-5401	306	3	γ∗	γ∗	PROPN
ejpam-5401	306	4	,	,	PUNCT
ejpam-5401	306	5	c∗	c∗	PROPN
ejpam-5401	306	6	,	,	PUNCT
ejpam-5401	306	7	v	v	NOUN
ejpam-5401	306	8	ψ	ψ	NOUN
ejpam-5401	306	9	)	)	PUNCT
ejpam-5401	306	10	pc	pc	NOUN
ejpam-5401	306	11	≍	≍	PROPN
ejpam-5401	306	12	\	\	X
ejpam-5401	306	13	{	{	PUNCT
ejpam-5401	306	14	x	x	NOUN
ejpam-5401	306	15	}	}	PUNCT
ejpam-5401	306	16	]	]	PUNCT
ejpam-5401	306	17	≍	≍	PROPN
ejpam-5401	306	18	=(	=(	NOUN
ejpam-5401	306	19	φ	φ	PROPN
ejpam-5401	306	20	,	,	PUNCT
ejpam-5401	306	21	c	c	PROPN
ejpam-5401	306	22	,	,	PUNCT
ejpam-5401	306	23	v	v	NOUN
ejpam-5401	306	24	ψ	ψ	NOUN
ejpam-5401	306	25	)	)	PUNCT
ejpam-5401	306	26	pc	pc	NOUN
ejpam-5401	306	27	for	for	ADP
ejpam-5401	306	28	every	every	DET
ejpam-5401	306	29	pchs	pch	NOUN
ejpam-5401	306	30	open	open	ADJ
ejpam-5401	306	31	set	set	NOUN
ejpam-5401	306	32	(	(	PUNCT
ejpam-5401	306	33	γ∗	γ∗	PROPN
ejpam-5401	306	34	,	,	PUNCT
ejpam-5401	306	35	c∗	c∗	PROPN
ejpam-5401	306	36	,	,	PUNCT
ejpam-5401	306	37	v	v	NOUN
ejpam-5401	306	38	ψ	ψ	NOUN
ejpam-5401	306	39	)	)	PUNCT
ejpam-5401	306	40	pc	pc	NOUN
ejpam-5401	306	41	containing	contain	VERB
ejpam-5401	306	42	x.	x.	NOUN
ejpam-5401	306	43	but	but	CCONJ
ejpam-5401	306	44	since	since	SCONJ
ejpam-5401	306	45	(	(	PUNCT
ejpam-5401	306	46	γ1	γ1	PROPN
ejpam-5401	306	47	,	,	PUNCT
ejpam-5401	306	48	c1	c1	PROPN
ejpam-5401	306	49	,	,	PUNCT
ejpam-5401	306	50	v	v	NOUN
ejpam-5401	306	51	ψ	ψ	NOUN
ejpam-5401	306	52	)	)	PUNCT
ejpam-5401	306	53	≍	≍	PROPN
ejpam-5401	306	54	⊑	⊑	X
ejpam-5401	306	55	(	(	PUNCT
ejpam-5401	306	56	γ2	γ2	PROPN
ejpam-5401	306	57	,	,	PUNCT
ejpam-5401	306	58	c2	c2	PROPN
ejpam-5401	306	59	,	,	PUNCT
ejpam-5401	306	60	v	v	NOUN
ejpam-5401	306	61	ψ	ψ	NOUN
ejpam-5401	306	62	)	)	PUNCT
ejpam-5401	306	63	pc	pc	NOUN
ejpam-5401	306	64	,	,	PUNCT
ejpam-5401	306	65	it	it	PRON
ejpam-5401	306	66	follows	follow	VERB
ejpam-5401	306	67	that	that	SCONJ
ejpam-5401	306	68	(	(	PUNCT
ejpam-5401	306	69	γ2	γ2	PROPN
ejpam-5401	306	70	,	,	PUNCT
ejpam-5401	306	71	c2	c2	PROPN
ejpam-5401	306	72	,	,	PUNCT
ejpam-5401	306	73	v	v	NOUN
ejpam-5401	306	74	ψ	ψ	NOUN
ejpam-5401	306	75	)	)	PUNCT
ejpam-5401	306	76	pc	pc	NOUN
ejpam-5401	306	77	≍	≍	VERB
ejpam-5401	306	78	⊓	⊓	NOUN
ejpam-5401	307	1	[	[	X
ejpam-5401	307	2	(	(	PUNCT
ejpam-5401	307	3	γ∗	γ∗	PROPN
ejpam-5401	307	4	,	,	PUNCT
ejpam-5401	307	5	c∗	c∗	PROPN
ejpam-5401	307	6	,	,	PUNCT
ejpam-5401	307	7	v	v	NOUN
ejpam-5401	307	8	ψ	ψ	NOUN
ejpam-5401	307	9	)	)	PUNCT
ejpam-5401	307	10	pc	pc	NOUN
ejpam-5401	307	11	≍	≍	PROPN
ejpam-5401	307	12	\	\	X
ejpam-5401	307	13	{	{	PUNCT
ejpam-5401	307	14	x	x	NOUN
ejpam-5401	307	15	}	}	PUNCT
ejpam-5401	307	16	]	]	PUNCT
ejpam-5401	307	17	≍	≍	PROPN
ejpam-5401	307	18	=(	=(	NOUN
ejpam-5401	307	19	φ	φ	PROPN
ejpam-5401	307	20	,	,	PUNCT
ejpam-5401	307	21	c	c	PROPN
ejpam-5401	307	22	,	,	PUNCT
ejpam-5401	307	23	v	v	NOUN
ejpam-5401	307	24	ψ	ψ	NOUN
ejpam-5401	307	25	)	)	PUNCT
ejpam-5401	307	26	pc	pc	NOUN
ejpam-5401	307	27	.	.	PUNCT
ejpam-5401	308	1	thus	thus	ADV
ejpam-5401	308	2	,	,	PUNCT
ejpam-5401	308	3	x	x	SYM
ejpam-5401	308	4	∈	∈	PROPN
ejpam-5401	308	5	(	(	PUNCT
ejpam-5401	308	6	γ2	γ2	ADJ
ejpam-5401	308	7	,	,	PUNCT
ejpam-5401	308	8	c	c	X
ejpam-5401	308	9	,	,	PUNCT
ejpam-5401	308	10	v	v	NOUN
ejpam-5401	308	11	ψ	ψ	NOUN
ejpam-5401	308	12	)	)	PUNCT
ejpam-5401	308	13	d	d	NOUN
ejpam-5401	308	14	pc	pc	NOUN
ejpam-5401	308	15	.	.	PUNCT
ejpam-5401	309	1	therefore	therefore	ADV
ejpam-5401	309	2	,	,	PUNCT
ejpam-5401	309	3	(	(	PUNCT
ejpam-5401	309	4	γ1	γ1	PROPN
ejpam-5401	309	5	,	,	PUNCT
ejpam-5401	309	6	c1	c1	PROPN
ejpam-5401	309	7	,	,	PUNCT
ejpam-5401	309	8	v	v	NOUN
ejpam-5401	309	9	ψ	ψ	NOUN
ejpam-5401	309	10	)	)	PUNCT
ejpam-5401	309	11	d	d	X
ejpam-5401	309	12	pc	pc	NOUN
ejpam-5401	309	13	≍	≍	PROPN
ejpam-5401	309	14	⊑	⊑	X
ejpam-5401	309	15	(	(	PUNCT
ejpam-5401	309	16	γ2	γ2	PROPN
ejpam-5401	309	17	,	,	PUNCT
ejpam-5401	309	18	c2	c2	PROPN
ejpam-5401	309	19	,	,	PUNCT
ejpam-5401	309	20	v	v	NOUN
ejpam-5401	309	21	ψ	ψ	NOUN
ejpam-5401	309	22	)	)	PUNCT
ejpam-5401	309	23	d	d	NOUN
ejpam-5401	309	24	pc	pc	NOUN
ejpam-5401	309	25	.	.	PUNCT
ejpam-5401	310	1	n.	n.	PROPN
ejpam-5401	310	2	k.	k.	PROPN
ejpam-5401	310	3	ahmed	ahmed	PROPN
ejpam-5401	310	4	,	,	PUNCT
ejpam-5401	310	5	o.	o.	PROPN
ejpam-5401	310	6	t.	t.	PROPN
ejpam-5401	310	7	pirbal	pirbal	PROPN
ejpam-5401	310	8	/	/	SYM
ejpam-5401	310	9	eur	eur	PROPN
ejpam-5401	310	10	.	.	PUNCT
ejpam-5401	311	1	j.	j.	PROPN
ejpam-5401	311	2	pure	pure	PROPN
ejpam-5401	311	3	appl	appl	PROPN
ejpam-5401	311	4	.	.	PROPN
ejpam-5401	311	5	math	math	PROPN
ejpam-5401	311	6	,	,	PUNCT
ejpam-5401	311	7	17	17	NUM
ejpam-5401	311	8	(	(	PUNCT
ejpam-5401	311	9	4	4	NUM
ejpam-5401	311	10	)	)	PUNCT
ejpam-5401	311	11	(	(	PUNCT
ejpam-5401	311	12	2024	2024	NUM
ejpam-5401	311	13	)	)	PUNCT
ejpam-5401	311	14	,	,	PUNCT
ejpam-5401	311	15	3043	3043	NUM
ejpam-5401	311	16	-	-	SYM
ejpam-5401	311	17	3060	3060	NUM
ejpam-5401	311	18	3052	3052	NUM
ejpam-5401	311	19	(	(	PUNCT
ejpam-5401	311	20	ii	ii	NOUN
ejpam-5401	311	21	)	)	PUNCT
ejpam-5401	311	22	since	since	SCONJ
ejpam-5401	311	23	(	(	PUNCT
ejpam-5401	311	24	γ1	γ1	PROPN
ejpam-5401	311	25	,	,	PUNCT
ejpam-5401	311	26	c1	c1	PROPN
ejpam-5401	311	27	,	,	PUNCT
ejpam-5401	311	28	v	v	NOUN
ejpam-5401	311	29	ψ	ψ	NOUN
ejpam-5401	311	30	)	)	PUNCT
ejpam-5401	311	31	pc	pc	NOUN
ejpam-5401	311	32	≍	≍	VERB
ejpam-5401	311	33	⊓	⊓	PROPN
ejpam-5401	311	34	(	(	PUNCT
ejpam-5401	311	35	γ2	γ2	PROPN
ejpam-5401	311	36	,	,	PUNCT
ejpam-5401	311	37	c2	c2	PROPN
ejpam-5401	311	38	,	,	PUNCT
ejpam-5401	311	39	v	v	NOUN
ejpam-5401	311	40	ψ	ψ	NOUN
ejpam-5401	311	41	)	)	PUNCT
ejpam-5401	311	42	pc	pc	NOUN
ejpam-5401	311	43	≍	≍	PROPN
ejpam-5401	311	44	⊑	⊑	X
ejpam-5401	311	45	(	(	PUNCT
ejpam-5401	311	46	γ1	γ1	PROPN
ejpam-5401	311	47	,	,	PUNCT
ejpam-5401	311	48	c1	c1	PROPN
ejpam-5401	311	49	,	,	PUNCT
ejpam-5401	311	50	v	v	NOUN
ejpam-5401	311	51	ψ	ψ	NOUN
ejpam-5401	311	52	)	)	PUNCT
ejpam-5401	311	53	pc	pc	NOUN
ejpam-5401	311	54	and	and	CCONJ
ejpam-5401	311	55	(	(	PUNCT
ejpam-5401	311	56	γ1	γ1	PROPN
ejpam-5401	311	57	,	,	PUNCT
ejpam-5401	311	58	c1	c1	PROPN
ejpam-5401	311	59	,	,	PUNCT
ejpam-5401	311	60	v	v	NOUN
ejpam-5401	311	61	ψ	ψ	NOUN
ejpam-5401	311	62	)	)	PUNCT
ejpam-5401	311	63	pc	pc	NOUN
ejpam-5401	311	64	≍	≍	VERB
ejpam-5401	311	65	⊓	⊓	PROPN
ejpam-5401	311	66	(	(	PUNCT
ejpam-5401	311	67	γ2	γ2	PROPN
ejpam-5401	311	68	,	,	PUNCT
ejpam-5401	311	69	c2	c2	PROPN
ejpam-5401	311	70	,	,	PUNCT
ejpam-5401	311	71	v	v	NOUN
ejpam-5401	311	72	ψ	ψ	NOUN
ejpam-5401	311	73	)	)	PUNCT
ejpam-5401	311	74	pc	pc	NOUN
ejpam-5401	311	75	≍	≍	PROPN
ejpam-5401	311	76	⊑	⊑	X
ejpam-5401	311	77	(	(	PUNCT
ejpam-5401	311	78	γ2	γ2	PROPN
ejpam-5401	311	79	,	,	PUNCT
ejpam-5401	311	80	c2	c2	PROPN
ejpam-5401	311	81	,	,	PUNCT
ejpam-5401	311	82	v	v	NOUN
ejpam-5401	311	83	ψ	ψ	NOUN
ejpam-5401	311	84	)	)	PUNCT
ejpam-5401	311	85	pc	pc	NOUN
ejpam-5401	311	86	,	,	PUNCT
ejpam-5401	311	87	then	then	ADV
ejpam-5401	311	88	by	by	ADP
ejpam-5401	311	89	part	part	NOUN
ejpam-5401	311	90	(	(	PUNCT
ejpam-5401	311	91	i	i	NOUN
ejpam-5401	311	92	)	)	PUNCT
ejpam-5401	311	93	follows	follow	VERB
ejpam-5401	311	94	that	that	SCONJ
ejpam-5401	311	95	[	[	X
ejpam-5401	311	96	(	(	PUNCT
ejpam-5401	311	97	γ1	γ1	PROPN
ejpam-5401	311	98	,	,	PUNCT
ejpam-5401	311	99	c1	c1	PROPN
ejpam-5401	311	100	,	,	PUNCT
ejpam-5401	311	101	v	v	NOUN
ejpam-5401	311	102	ψ	ψ	NOUN
ejpam-5401	311	103	)	)	PUNCT
ejpam-5401	311	104	pc	pc	NOUN
ejpam-5401	311	105	≍	≍	VERB
ejpam-5401	311	106	⊓	⊓	PROPN
ejpam-5401	311	107	(	(	PUNCT
ejpam-5401	311	108	γ2	γ2	PROPN
ejpam-5401	311	109	,	,	PUNCT
ejpam-5401	311	110	c2	c2	PROPN
ejpam-5401	311	111	,	,	PUNCT
ejpam-5401	311	112	v	v	NOUN
ejpam-5401	311	113	ψ	ψ	NOUN
ejpam-5401	311	114	)	)	PUNCT
ejpam-5401	311	115	pc	pc	NOUN
ejpam-5401	311	116	]	]	PUNCT
ejpam-5401	311	117	d	d	X
ejpam-5401	311	118	≍	≍	PROPN
ejpam-5401	311	119	⊑	⊑	X
ejpam-5401	311	120	(	(	PUNCT
ejpam-5401	311	121	γ1	γ1	PROPN
ejpam-5401	311	122	,	,	PUNCT
ejpam-5401	311	123	c1	c1	PROPN
ejpam-5401	311	124	,	,	PUNCT
ejpam-5401	311	125	v	v	NOUN
ejpam-5401	311	126	ψ	ψ	NOUN
ejpam-5401	311	127	)	)	PUNCT
ejpam-5401	311	128	d	d	NOUN
ejpam-5401	311	129	pc	pc	NOUN
ejpam-5401	311	130	and	and	CCONJ
ejpam-5401	311	131	[	[	X
ejpam-5401	311	132	(	(	PUNCT
ejpam-5401	311	133	γ1	γ1	PROPN
ejpam-5401	311	134	,	,	PUNCT
ejpam-5401	311	135	c1	c1	PROPN
ejpam-5401	311	136	,	,	PUNCT
ejpam-5401	311	137	v	v	NOUN
ejpam-5401	311	138	ψ	ψ	NOUN
ejpam-5401	311	139	)	)	PUNCT
ejpam-5401	311	140	pc	pc	NOUN
ejpam-5401	311	141	≍	≍	VERB
ejpam-5401	311	142	⊓	⊓	PROPN
ejpam-5401	311	143	(	(	PUNCT
ejpam-5401	311	144	γ2	γ2	PROPN
ejpam-5401	311	145	,	,	PUNCT
ejpam-5401	311	146	c2	c2	PROPN
ejpam-5401	311	147	,	,	PUNCT
ejpam-5401	311	148	v	v	NOUN
ejpam-5401	311	149	ψ	ψ	NOUN
ejpam-5401	311	150	)	)	PUNCT
ejpam-5401	311	151	pc	pc	NOUN
ejpam-5401	311	152	]	]	PUNCT
ejpam-5401	311	153	d	d	X
ejpam-5401	311	154	≍	≍	PROPN
ejpam-5401	311	155	⊑	⊑	X
ejpam-5401	311	156	(	(	PUNCT
ejpam-5401	311	157	γ2	γ2	PROPN
ejpam-5401	311	158	,	,	PUNCT
ejpam-5401	311	159	c1	c1	PROPN
ejpam-5401	311	160	,	,	PUNCT
ejpam-5401	311	161	v	v	NOUN
ejpam-5401	311	162	ψ	ψ	NOUN
ejpam-5401	311	163	)	)	PUNCT
ejpam-5401	311	164	d	d	NOUN
ejpam-5401	311	165	pc	pc	NOUN
ejpam-5401	311	166	.	.	PUNCT
ejpam-5401	312	1	hence	hence	ADV
ejpam-5401	312	2	[	[	X
ejpam-5401	312	3	(	(	PUNCT
ejpam-5401	312	4	γ1	γ1	PROPN
ejpam-5401	312	5	,	,	PUNCT
ejpam-5401	312	6	c1	c1	PROPN
ejpam-5401	312	7	,	,	PUNCT
ejpam-5401	312	8	v	v	NOUN
ejpam-5401	312	9	ψ	ψ	NOUN
ejpam-5401	312	10	)	)	PUNCT
ejpam-5401	312	11	pc	pc	NOUN
ejpam-5401	312	12	≍	≍	VERB
ejpam-5401	312	13	⊓	⊓	PROPN
ejpam-5401	312	14	(	(	PUNCT
ejpam-5401	312	15	γ2	γ2	PROPN
ejpam-5401	312	16	,	,	PUNCT
ejpam-5401	312	17	c2	c2	PROPN
ejpam-5401	312	18	,	,	PUNCT
ejpam-5401	312	19	v	v	NOUN
ejpam-5401	312	20	ψ	ψ	NOUN
ejpam-5401	312	21	)	)	PUNCT
ejpam-5401	312	22	pc	pc	NOUN
ejpam-5401	312	23	]	]	PUNCT
ejpam-5401	313	1	d	d	X
ejpam-5401	313	2	≍	≍	PROPN
ejpam-5401	313	3	⊑	⊑	X
ejpam-5401	313	4	(	(	PUNCT
ejpam-5401	313	5	γ1	γ1	PROPN
ejpam-5401	313	6	,	,	PUNCT
ejpam-5401	313	7	c1	c1	PROPN
ejpam-5401	313	8	,	,	PUNCT
ejpam-5401	313	9	v	v	NOUN
ejpam-5401	313	10	ψ	ψ	NOUN
ejpam-5401	313	11	)	)	PUNCT
ejpam-5401	313	12	d	d	NOUN
ejpam-5401	313	13	pc	pc	NOUN
ejpam-5401	313	14	≍	≍	VERB
ejpam-5401	313	15	⊓	⊓	PROPN
ejpam-5401	313	16	(	(	PUNCT
ejpam-5401	313	17	γ2	γ2	PROPN
ejpam-5401	313	18	,	,	PUNCT
ejpam-5401	313	19	c2	c2	PROPN
ejpam-5401	313	20	,	,	PUNCT
ejpam-5401	313	21	v	v	NOUN
ejpam-5401	313	22	ψ	ψ	NOUN
ejpam-5401	313	23	)	)	PUNCT
ejpam-5401	313	24	d	d	NOUN
ejpam-5401	313	25	pc	pc	NOUN
ejpam-5401	313	26	.	.	PUNCT
ejpam-5401	314	1	(	(	PUNCT
ejpam-5401	314	2	iii	iii	NOUN
ejpam-5401	314	3	)	)	PUNCT
ejpam-5401	314	4	since	since	SCONJ
ejpam-5401	314	5	(	(	PUNCT
ejpam-5401	314	6	γ1	γ1	PROPN
ejpam-5401	314	7	,	,	PUNCT
ejpam-5401	314	8	c1	c1	PROPN
ejpam-5401	314	9	,	,	PUNCT
ejpam-5401	314	10	v	v	NOUN
ejpam-5401	314	11	ψ	ψ	NOUN
ejpam-5401	314	12	)	)	PUNCT
ejpam-5401	314	13	pc	pc	NOUN
ejpam-5401	314	14	≍	≍	PROPN
ejpam-5401	314	15	⊑	⊑	X
ejpam-5401	314	16	(	(	PUNCT
ejpam-5401	314	17	γ1	γ1	PROPN
ejpam-5401	314	18	,	,	PUNCT
ejpam-5401	314	19	c1	c1	PROPN
ejpam-5401	314	20	,	,	PUNCT
ejpam-5401	314	21	v	v	NOUN
ejpam-5401	314	22	ψ	ψ	NOUN
ejpam-5401	314	23	)	)	PUNCT
ejpam-5401	315	1	pc	pc	NOUN
ejpam-5401	315	2	≍	≍	PROPN
ejpam-5401	315	3	⊔	⊔	PROPN
ejpam-5401	315	4	(	(	PUNCT
ejpam-5401	315	5	γ2	γ2	PROPN
ejpam-5401	315	6	,	,	PUNCT
ejpam-5401	315	7	c2	c2	PROPN
ejpam-5401	315	8	,	,	PUNCT
ejpam-5401	315	9	v	v	NOUN
ejpam-5401	315	10	ψ	ψ	NOUN
ejpam-5401	315	11	)	)	PUNCT
ejpam-5401	315	12	pc	pc	NOUN
ejpam-5401	315	13	and	and	CCONJ
ejpam-5401	315	14	(	(	PUNCT
ejpam-5401	315	15	γ2	γ2	PROPN
ejpam-5401	315	16	,	,	PUNCT
ejpam-5401	315	17	c2	c2	PROPN
ejpam-5401	315	18	,	,	PUNCT
ejpam-5401	315	19	v	v	NOUN
ejpam-5401	315	20	ψ	ψ	NOUN
ejpam-5401	315	21	)	)	PUNCT
ejpam-5401	315	22	pc	pc	NOUN
ejpam-5401	315	23	≍	≍	PROPN
ejpam-5401	315	24	⊑	⊑	PROPN
ejpam-5401	315	25	(	(	PUNCT
ejpam-5401	315	26	γ1	γ1	PROPN
ejpam-5401	315	27	,	,	PUNCT
ejpam-5401	315	28	c1	c1	PROPN
ejpam-5401	315	29	,	,	PUNCT
ejpam-5401	315	30	v	v	NOUN
ejpam-5401	315	31	ψ	ψ	NOUN
ejpam-5401	315	32	)	)	PUNCT
ejpam-5401	315	33	pc	pc	NOUN
ejpam-5401	315	34	≍	≍	PROPN
ejpam-5401	315	35	⊔	⊔	PROPN
ejpam-5401	315	36	(	(	PUNCT
ejpam-5401	315	37	γ2	γ2	PROPN
ejpam-5401	315	38	,	,	PUNCT
ejpam-5401	315	39	c2	c2	PROPN
ejpam-5401	315	40	,	,	PUNCT
ejpam-5401	315	41	v	v	NOUN
ejpam-5401	315	42	ψ	ψ	NOUN
ejpam-5401	315	43	)	)	PUNCT
ejpam-5401	315	44	pc	pc	NOUN
ejpam-5401	315	45	,	,	PUNCT
ejpam-5401	315	46	by	by	ADP
ejpam-5401	315	47	part	part	NOUN
ejpam-5401	315	48	(	(	PUNCT
ejpam-5401	315	49	i	i	NOUN
ejpam-5401	315	50	)	)	PUNCT
ejpam-5401	315	51	we	we	PRON
ejpam-5401	315	52	have	have	VERB
ejpam-5401	315	53	(	(	PUNCT
ejpam-5401	315	54	γ1	γ1	PROPN
ejpam-5401	315	55	,	,	PUNCT
ejpam-5401	315	56	c1	c1	PROPN
ejpam-5401	315	57	,	,	PUNCT
ejpam-5401	315	58	v	v	NOUN
ejpam-5401	315	59	ψ	ψ	NOUN
ejpam-5401	315	60	)	)	PUNCT
ejpam-5401	315	61	d	d	X
ejpam-5401	315	62	pc	pc	NOUN
ejpam-5401	315	63	≍	≍	NOUN
ejpam-5401	315	64	⊑	⊑	X
ejpam-5401	316	1	[	[	X
ejpam-5401	316	2	(	(	PUNCT
ejpam-5401	316	3	γ1	γ1	PROPN
ejpam-5401	316	4	,	,	PUNCT
ejpam-5401	316	5	c1	c1	PROPN
ejpam-5401	316	6	,	,	PUNCT
ejpam-5401	316	7	v	v	NOUN
ejpam-5401	316	8	ψ	ψ	NOUN
ejpam-5401	316	9	)	)	PUNCT
ejpam-5401	316	10	pc	pc	NOUN
ejpam-5401	316	11	≍	≍	PROPN
ejpam-5401	316	12	⊔	⊔	PROPN
ejpam-5401	316	13	(	(	PUNCT
ejpam-5401	316	14	γ2	γ2	PROPN
ejpam-5401	316	15	,	,	PUNCT
ejpam-5401	316	16	c2	c2	PROPN
ejpam-5401	316	17	,	,	PUNCT
ejpam-5401	316	18	v	v	NOUN
ejpam-5401	316	19	ψ	ψ	NOUN
ejpam-5401	316	20	)	)	PUNCT
ejpam-5401	316	21	pc	pc	NOUN
ejpam-5401	316	22	]	]	PUNCT
ejpam-5401	316	23	d	d	NOUN
ejpam-5401	316	24	and	and	CCONJ
ejpam-5401	316	25	(	(	PUNCT
ejpam-5401	316	26	γ2	γ2	PROPN
ejpam-5401	316	27	,	,	PUNCT
ejpam-5401	316	28	c2	c2	PROPN
ejpam-5401	316	29	,	,	PUNCT
ejpam-5401	316	30	v	v	NOUN
ejpam-5401	316	31	ψ	ψ	NOUN
ejpam-5401	316	32	)	)	PUNCT
ejpam-5401	316	33	d	d	NOUN
ejpam-5401	316	34	pc	pc	NOUN
ejpam-5401	316	35	≍	≍	PROPN
ejpam-5401	316	36	⊑	⊑	PROPN
ejpam-5401	316	37	[	[	X
ejpam-5401	316	38	(	(	PUNCT
ejpam-5401	316	39	γ1	γ1	PROPN
ejpam-5401	316	40	,	,	PUNCT
ejpam-5401	316	41	c1	c1	PROPN
ejpam-5401	316	42	,	,	PUNCT
ejpam-5401	316	43	v	v	NOUN
ejpam-5401	316	44	ψ	ψ	NOUN
ejpam-5401	316	45	)	)	PUNCT
ejpam-5401	316	46	pc	pc	NOUN
ejpam-5401	316	47	≍	≍	PROPN
ejpam-5401	316	48	⊔	⊔	PROPN
ejpam-5401	316	49	(	(	PUNCT
ejpam-5401	316	50	γ2	γ2	PROPN
ejpam-5401	316	51	,	,	PUNCT
ejpam-5401	316	52	c2	c2	PROPN
ejpam-5401	316	53	,	,	PUNCT
ejpam-5401	316	54	v	v	NOUN
ejpam-5401	316	55	ψ	ψ	NOUN
ejpam-5401	316	56	)	)	PUNCT
ejpam-5401	316	57	pc	pc	NOUN
ejpam-5401	316	58	]	]	PUNCT
ejpam-5401	316	59	d	d	X
ejpam-5401	316	60	.	.	PUNCT
ejpam-5401	317	1	so	so	ADV
ejpam-5401	317	2	,	,	PUNCT
ejpam-5401	317	3	(	(	PUNCT
ejpam-5401	317	4	γ1	γ1	PROPN
ejpam-5401	317	5	,	,	PUNCT
ejpam-5401	317	6	c1	c1	PROPN
ejpam-5401	317	7	,	,	PUNCT
ejpam-5401	317	8	v	v	NOUN
ejpam-5401	317	9	ψ	ψ	NOUN
ejpam-5401	317	10	)	)	PUNCT
ejpam-5401	317	11	d	d	NOUN
ejpam-5401	317	12	pc	pc	NOUN
ejpam-5401	317	13	≍	≍	VERB
ejpam-5401	318	1	⊔	⊔	PROPN
ejpam-5401	318	2	(	(	PUNCT
ejpam-5401	318	3	γ2	γ2	PROPN
ejpam-5401	318	4	,	,	PUNCT
ejpam-5401	318	5	c2	c2	PROPN
ejpam-5401	318	6	,	,	PUNCT
ejpam-5401	318	7	v	v	NOUN
ejpam-5401	318	8	ψ	ψ	NOUN
ejpam-5401	318	9	)	)	PUNCT
ejpam-5401	318	10	d	d	X
ejpam-5401	318	11	pc	pc	NOUN
ejpam-5401	318	12	≍	≍	NOUN
ejpam-5401	318	13	⊑	⊑	X
ejpam-5401	319	1	[	[	X
ejpam-5401	319	2	(	(	PUNCT
ejpam-5401	319	3	γ1	γ1	PROPN
ejpam-5401	319	4	,	,	PUNCT
ejpam-5401	319	5	c1	c1	PROPN
ejpam-5401	319	6	,	,	PUNCT
ejpam-5401	319	7	v	v	NOUN
ejpam-5401	319	8	ψ	ψ	NOUN
ejpam-5401	319	9	)	)	PUNCT
ejpam-5401	319	10	pc	pc	NOUN
ejpam-5401	319	11	≍	≍	PROPN
ejpam-5401	319	12	⊔	⊔	PROPN
ejpam-5401	319	13	(	(	PUNCT
ejpam-5401	319	14	γ2	γ2	PROPN
ejpam-5401	319	15	,	,	PUNCT
ejpam-5401	319	16	c2	c2	PROPN
ejpam-5401	319	17	,	,	PUNCT
ejpam-5401	319	18	v	v	NOUN
ejpam-5401	319	19	ψ	ψ	NOUN
ejpam-5401	319	20	)	)	PUNCT
ejpam-5401	319	21	pc	pc	NOUN
ejpam-5401	319	22	]	]	PUNCT
ejpam-5401	319	23	d	d	X
ejpam-5401	319	24	.	.	PUNCT
ejpam-5401	320	1	now	now	ADV
ejpam-5401	320	2	,	,	PUNCT
ejpam-5401	320	3	let	let	VERB
ejpam-5401	320	4	x∈	x∈	PRON
ejpam-5401	321	1	[	[	X
ejpam-5401	321	2	(	(	PUNCT
ejpam-5401	321	3	γ1	γ1	PROPN
ejpam-5401	321	4	,	,	PUNCT
ejpam-5401	321	5	c1	c1	PROPN
ejpam-5401	321	6	,	,	PUNCT
ejpam-5401	321	7	v	v	NOUN
ejpam-5401	321	8	ψ	ψ	NOUN
ejpam-5401	321	9	)	)	PUNCT
ejpam-5401	321	10	pc	pc	NOUN
ejpam-5401	321	11	≍	≍	PROPN
ejpam-5401	321	12	⊔	⊔	PROPN
ejpam-5401	321	13	(	(	PUNCT
ejpam-5401	321	14	γ2	γ2	PROPN
ejpam-5401	321	15	,	,	PUNCT
ejpam-5401	321	16	c2	c2	PROPN
ejpam-5401	321	17	,	,	PUNCT
ejpam-5401	321	18	v	v	NOUN
ejpam-5401	321	19	ψ	ψ	NOUN
ejpam-5401	321	20	)	)	PUNCT
ejpam-5401	321	21	pc	pc	NOUN
ejpam-5401	321	22	]	]	X
ejpam-5401	322	1	d	d	NOUN
ejpam-5401	322	2	,	,	PUNCT
ejpam-5401	322	3	then	then	ADV
ejpam-5401	322	4	[	[	X
ejpam-5401	322	5	(	(	PUNCT
ejpam-5401	322	6	γ1	γ1	PROPN
ejpam-5401	322	7	,	,	PUNCT
ejpam-5401	322	8	c1	c1	PROPN
ejpam-5401	322	9	,	,	PUNCT
ejpam-5401	322	10	v	v	NOUN
ejpam-5401	322	11	ψ	ψ	NOUN
ejpam-5401	322	12	)	)	PUNCT
ejpam-5401	322	13	pc	pc	NOUN
ejpam-5401	322	14	≍	≍	PROPN
ejpam-5401	322	15	⊔	⊔	PROPN
ejpam-5401	322	16	(	(	PUNCT
ejpam-5401	322	17	γ2	γ2	PROPN
ejpam-5401	322	18	,	,	PUNCT
ejpam-5401	322	19	c2	c2	PROPN
ejpam-5401	322	20	,	,	PUNCT
ejpam-5401	322	21	v	v	NOUN
ejpam-5401	322	22	ψ	ψ	NOUN
ejpam-5401	322	23	)	)	PUNCT
ejpam-5401	322	24	pc	pc	NOUN
ejpam-5401	322	25	]	]	PUNCT
ejpam-5401	322	26	≍	≍	PROPN
ejpam-5401	322	27	⊓	⊓	PROPN
ejpam-5401	323	1	[	[	X
ejpam-5401	323	2	(	(	PUNCT
ejpam-5401	323	3	γ∗	γ∗	PROPN
ejpam-5401	323	4	,	,	PUNCT
ejpam-5401	323	5	c∗	c∗	PROPN
ejpam-5401	323	6	,	,	PUNCT
ejpam-5401	323	7	v	v	NOUN
ejpam-5401	323	8	ψ	ψ	NOUN
ejpam-5401	323	9	)	)	PUNCT
ejpam-5401	323	10	pc	pc	NOUN
ejpam-5401	323	11	\≍	\≍	NOUN
ejpam-5401	323	12	{	{	PUNCT
ejpam-5401	323	13	x	x	X
ejpam-5401	323	14	}	}	PUNCT
ejpam-5401	323	15	]	]	PUNCT
ejpam-5401	323	16	≍	≍	PROPN
ejpam-5401	323	17	̸=(φ	̸=(φ	PROPN
ejpam-5401	323	18	,	,	PUNCT
ejpam-5401	323	19	c	c	NOUN
ejpam-5401	323	20	,	,	PUNCT
ejpam-5401	323	21	v	v	NOUN
ejpam-5401	323	22	ψ	ψ	NOUN
ejpam-5401	323	23	)	)	PUNCT
ejpam-5401	323	24	pc	pc	NOUN
ejpam-5401	323	25	for	for	ADP
ejpam-5401	323	26	every	every	DET
ejpam-5401	323	27	pchs	pch	NOUN
ejpam-5401	323	28	set	set	NOUN
ejpam-5401	323	29	(	(	PUNCT
ejpam-5401	323	30	γ∗	γ∗	PROPN
ejpam-5401	323	31	,	,	PUNCT
ejpam-5401	323	32	c∗	c∗	PROPN
ejpam-5401	323	33	,	,	PUNCT
ejpam-5401	323	34	v	v	NOUN
ejpam-5401	323	35	ψ	ψ	NOUN
ejpam-5401	323	36	)	)	PUNCT
ejpam-5401	323	37	pc	pc	NOUN
ejpam-5401	323	38	containing	contain	VERB
ejpam-5401	323	39	x.	x.	NOUN
ejpam-5401	323	40	therefore	therefore	ADV
ejpam-5401	323	41	,	,	PUNCT
ejpam-5401	323	42	(	(	PUNCT
ejpam-5401	323	43	γ1	γ1	PROPN
ejpam-5401	323	44	,	,	PUNCT
ejpam-5401	323	45	c1	c1	PROPN
ejpam-5401	323	46	,	,	PUNCT
ejpam-5401	323	47	v	v	NOUN
ejpam-5401	323	48	ψ	ψ	NOUN
ejpam-5401	323	49	)	)	PUNCT
ejpam-5401	323	50	pc	pc	NOUN
ejpam-5401	323	51	≍	≍	VERB
ejpam-5401	323	52	⊓	⊓	NOUN
ejpam-5401	324	1	[	[	X
ejpam-5401	324	2	(	(	PUNCT
ejpam-5401	324	3	γ∗	γ∗	PROPN
ejpam-5401	324	4	,	,	PUNCT
ejpam-5401	324	5	c∗	c∗	PROPN
ejpam-5401	324	6	,	,	PUNCT
ejpam-5401	324	7	v	v	NOUN
ejpam-5401	324	8	ψ	ψ	NOUN
ejpam-5401	324	9	)	)	PUNCT
ejpam-5401	324	10	pc	pc	NOUN
ejpam-5401	324	11	≍	≍	PROPN
ejpam-5401	324	12	\	\	X
ejpam-5401	324	13	{	{	PUNCT
ejpam-5401	324	14	x	x	NOUN
ejpam-5401	324	15	}	}	PUNCT
ejpam-5401	324	16	]	]	PUNCT
ejpam-5401	324	17	≍	≍	PROPN
ejpam-5401	324	18	=	=	SYM
ejpam-5401	324	19	(	(	PUNCT
ejpam-5401	324	20	φ	φ	PROPN
ejpam-5401	324	21	,	,	PUNCT
ejpam-5401	324	22	c	c	NOUN
ejpam-5401	324	23	,	,	PUNCT
ejpam-5401	324	24	v	v	NOUN
ejpam-5401	324	25	ψ	ψ	NOUN
ejpam-5401	324	26	)	)	PUNCT
ejpam-5401	324	27	pc	pc	NOUN
ejpam-5401	324	28	or	or	CCONJ
ejpam-5401	324	29	(	(	PUNCT
ejpam-5401	324	30	γ2	γ2	PROPN
ejpam-5401	324	31	,	,	PUNCT
ejpam-5401	324	32	c2	c2	PROPN
ejpam-5401	324	33	,	,	PUNCT
ejpam-5401	324	34	v	v	NOUN
ejpam-5401	324	35	ψ	ψ	NOUN
ejpam-5401	324	36	)	)	PUNCT
ejpam-5401	324	37	pc	pc	NOUN
ejpam-5401	324	38	≍	≍	VERB
ejpam-5401	324	39	⊓	⊓	NOUN
ejpam-5401	324	40	[	[	X
ejpam-5401	324	41	(	(	PUNCT
ejpam-5401	324	42	γ∗	γ∗	PROPN
ejpam-5401	324	43	,	,	PUNCT
ejpam-5401	324	44	c∗	c∗	PROPN
ejpam-5401	324	45	,	,	PUNCT
ejpam-5401	324	46	v	v	NOUN
ejpam-5401	324	47	ψ	ψ	NOUN
ejpam-5401	324	48	)	)	PUNCT
ejpam-5401	324	49	pc	pc	NOUN
ejpam-5401	324	50	≍	≍	PROPN
ejpam-5401	324	51	\	\	X
ejpam-5401	324	52	{	{	PUNCT
ejpam-5401	324	53	x	x	NOUN
ejpam-5401	324	54	}	}	PUNCT
ejpam-5401	324	55	]	]	PUNCT
ejpam-5401	324	56	≍	≍	PROPN
ejpam-5401	324	57	=	=	SYM
ejpam-5401	324	58	(	(	PUNCT
ejpam-5401	324	59	φ	φ	PROPN
ejpam-5401	324	60	,	,	PUNCT
ejpam-5401	324	61	c	c	NOUN
ejpam-5401	324	62	,	,	PUNCT
ejpam-5401	324	63	v	v	NOUN
ejpam-5401	324	64	ψ	ψ	NOUN
ejpam-5401	324	65	)	)	PUNCT
ejpam-5401	324	66	pc	pc	NOUN
ejpam-5401	324	67	.	.	PUNCT
ejpam-5401	325	1	thus	thus	ADV
ejpam-5401	325	2	,	,	PUNCT
ejpam-5401	325	3	x∈	x∈	PROPN
ejpam-5401	325	4	(	(	PUNCT
ejpam-5401	325	5	γ1	γ1	PROPN
ejpam-5401	325	6	,	,	PUNCT
ejpam-5401	325	7	c1	c1	PROPN
ejpam-5401	325	8	,	,	PUNCT
ejpam-5401	325	9	v	v	NOUN
ejpam-5401	325	10	ψ	ψ	NOUN
ejpam-5401	325	11	)	)	PUNCT
ejpam-5401	325	12	d	d	NOUN
ejpam-5401	325	13	pc	pc	NOUN
ejpam-5401	325	14	or	or	CCONJ
ejpam-5401	325	15	x∈	x∈	PROPN
ejpam-5401	325	16	(	(	PUNCT
ejpam-5401	325	17	γ2	γ2	PROPN
ejpam-5401	325	18	,	,	PUNCT
ejpam-5401	325	19	c2	c2	PROPN
ejpam-5401	325	20	,	,	PUNCT
ejpam-5401	325	21	v	v	NOUN
ejpam-5401	325	22	ψ	ψ	NOUN
ejpam-5401	325	23	)	)	PUNCT
ejpam-5401	325	24	d	d	NOUN
ejpam-5401	325	25	pc	pc	NOUN
ejpam-5401	325	26	and	and	CCONJ
ejpam-5401	325	27	then	then	ADV
ejpam-5401	325	28	x∈	x∈	PROPN
ejpam-5401	325	29	(	(	PUNCT
ejpam-5401	325	30	γ1	γ1	PROPN
ejpam-5401	325	31	,	,	PUNCT
ejpam-5401	325	32	c1	c1	PROPN
ejpam-5401	325	33	,	,	PUNCT
ejpam-5401	325	34	v	v	NOUN
ejpam-5401	325	35	ψ	ψ	NOUN
ejpam-5401	325	36	)	)	PUNCT
ejpam-5401	325	37	d	d	NOUN
ejpam-5401	325	38	pc	pc	NOUN
ejpam-5401	325	39	≍	≍	VERB
ejpam-5401	326	1	⊔	⊔	PROPN
ejpam-5401	326	2	(	(	PUNCT
ejpam-5401	326	3	γ2	γ2	PROPN
ejpam-5401	326	4	,	,	PUNCT
ejpam-5401	326	5	c2	c2	PROPN
ejpam-5401	326	6	,	,	PUNCT
ejpam-5401	326	7	v	v	NOUN
ejpam-5401	326	8	ψ	ψ	NOUN
ejpam-5401	326	9	)	)	PUNCT
ejpam-5401	326	10	d	d	NOUN
ejpam-5401	326	11	pc	pc	NOUN
ejpam-5401	326	12	.	.	PUNCT
ejpam-5401	327	1	therefore	therefore	ADV
ejpam-5401	327	2	,	,	PUNCT
ejpam-5401	327	3	(	(	PUNCT
ejpam-5401	327	4	γ1	γ1	PROPN
ejpam-5401	327	5	,	,	PUNCT
ejpam-5401	327	6	c1	c1	PROPN
ejpam-5401	327	7	,	,	PUNCT
ejpam-5401	327	8	v	v	NOUN
ejpam-5401	327	9	ψ	ψ	NOUN
ejpam-5401	327	10	)	)	PUNCT
ejpam-5401	327	11	d	d	NOUN
ejpam-5401	327	12	pc	pc	NOUN
ejpam-5401	327	13	≍	≍	VERB
ejpam-5401	327	14	⊔	⊔	PROPN
ejpam-5401	327	15	(	(	PUNCT
ejpam-5401	327	16	γ2	γ2	PROPN
ejpam-5401	327	17	,	,	PUNCT
ejpam-5401	327	18	c2	c2	PROPN
ejpam-5401	327	19	,	,	PUNCT
ejpam-5401	327	20	v	v	NOUN
ejpam-5401	327	21	ψ	ψ	NOUN
ejpam-5401	327	22	)	)	PUNCT
ejpam-5401	327	23	d	d	NOUN
ejpam-5401	327	24	pc	pc	NOUN
ejpam-5401	327	25	≍	≍	PROPN
ejpam-5401	327	26	⊒	⊒	PUNCT
ejpam-5401	328	1	[	[	X
ejpam-5401	328	2	(	(	PUNCT
ejpam-5401	328	3	γ1	γ1	PROPN
ejpam-5401	328	4	,	,	PUNCT
ejpam-5401	328	5	c1	c1	PROPN
ejpam-5401	328	6	,	,	PUNCT
ejpam-5401	328	7	v	v	NOUN
ejpam-5401	328	8	ψ	ψ	NOUN
ejpam-5401	328	9	)	)	PUNCT
ejpam-5401	328	10	pc	pc	NOUN
ejpam-5401	328	11	≍	≍	PROPN
ejpam-5401	328	12	⊔	⊔	PROPN
ejpam-5401	328	13	(	(	PUNCT
ejpam-5401	328	14	γ2	γ2	PROPN
ejpam-5401	328	15	,	,	PUNCT
ejpam-5401	328	16	c2	c2	PROPN
ejpam-5401	328	17	,	,	PUNCT
ejpam-5401	328	18	v	v	NOUN
ejpam-5401	328	19	ψ	ψ	NOUN
ejpam-5401	328	20	)	)	PUNCT
ejpam-5401	328	21	pc	pc	NOUN
ejpam-5401	328	22	]	]	PUNCT
ejpam-5401	328	23	d	d	X
ejpam-5401	328	24	.	.	PUNCT
ejpam-5401	329	1	hence	hence	ADV
ejpam-5401	329	2	,	,	PUNCT
ejpam-5401	329	3	[	[	X
ejpam-5401	329	4	(	(	PUNCT
ejpam-5401	329	5	γ1	γ1	PROPN
ejpam-5401	329	6	,	,	PUNCT
ejpam-5401	329	7	c1	c1	PROPN
ejpam-5401	329	8	,	,	PUNCT
ejpam-5401	329	9	v	v	NOUN
ejpam-5401	329	10	ψ	ψ	NOUN
ejpam-5401	329	11	)	)	PUNCT
ejpam-5401	329	12	pc	pc	NOUN
ejpam-5401	329	13	≍	≍	PROPN
ejpam-5401	329	14	⊔	⊔	PROPN
ejpam-5401	329	15	(	(	PUNCT
ejpam-5401	329	16	γ2	γ2	PROPN
ejpam-5401	329	17	,	,	PUNCT
ejpam-5401	329	18	c2	c2	PROPN
ejpam-5401	329	19	,	,	PUNCT
ejpam-5401	329	20	v	v	NOUN
ejpam-5401	329	21	ψ	ψ	NOUN
ejpam-5401	329	22	)	)	PUNCT
ejpam-5401	329	23	pc	pc	NOUN
ejpam-5401	330	1	]	]	PUNCT
ejpam-5401	330	2	d	d	X
ejpam-5401	330	3	≍	≍	PROPN
ejpam-5401	330	4	=(	=(	NOUN
ejpam-5401	330	5	γ1	γ1	PROPN
ejpam-5401	330	6	,	,	PUNCT
ejpam-5401	330	7	c1	c1	PROPN
ejpam-5401	330	8	,	,	PUNCT
ejpam-5401	330	9	v	v	NOUN
ejpam-5401	330	10	ψ	ψ	NOUN
ejpam-5401	330	11	)	)	PUNCT
ejpam-5401	330	12	d	d	NOUN
ejpam-5401	330	13	pc	pc	NOUN
ejpam-5401	330	14	≍	≍	VERB
ejpam-5401	330	15	⊔	⊔	PROPN
ejpam-5401	330	16	(	(	PUNCT
ejpam-5401	330	17	γ2	γ2	PROPN
ejpam-5401	330	18	,	,	PUNCT
ejpam-5401	330	19	c2	c2	PROPN
ejpam-5401	330	20	,	,	PUNCT
ejpam-5401	330	21	v	v	NOUN
ejpam-5401	330	22	ψ	ψ	NOUN
ejpam-5401	330	23	)	)	PUNCT
ejpam-5401	330	24	d	d	NOUN
ejpam-5401	330	25	pc	pc	NOUN
ejpam-5401	330	26	.	.	PUNCT
ejpam-5401	331	1	remark	remark	NOUN
ejpam-5401	331	2	6	6	NUM
ejpam-5401	331	3	.	.	PUNCT
ejpam-5401	332	1	the	the	DET
ejpam-5401	332	2	converse	converse	NOUN
ejpam-5401	332	3	of	of	ADP
ejpam-5401	332	4	above	above	ADP
ejpam-5401	332	5	the	the	DET
ejpam-5401	332	6	proposition	proposition	NOUN
ejpam-5401	332	7	part	part	NOUN
ejpam-5401	332	8	(	(	PUNCT
ejpam-5401	332	9	ii	ii	NOUN
ejpam-5401	332	10	)	)	PUNCT
ejpam-5401	332	11	,	,	PUNCT
ejpam-5401	332	12	may	may	AUX
ejpam-5401	332	13	not	not	PART
ejpam-5401	332	14	be	be	AUX
ejpam-5401	332	15	true	true	ADJ
ejpam-5401	332	16	.	.	PUNCT
ejpam-5401	333	1	see	see	VERB
ejpam-5401	333	2	the	the	DET
ejpam-5401	333	3	next	next	ADJ
ejpam-5401	333	4	example	example	NOUN
ejpam-5401	333	5	.	.	PUNCT
ejpam-5401	334	1	example	example	NOUN
ejpam-5401	335	1	4	4	NUM
ejpam-5401	335	2	.	.	PUNCT
ejpam-5401	335	3	consider	consider	VERB
ejpam-5401	335	4	the	the	DET
ejpam-5401	335	5	pchst	pchst	ADJ
ejpam-5401	335	6	space	space	NOUN
ejpam-5401	335	7	(	(	PUNCT
ejpam-5401	335	8	up	up	ADP
ejpam-5401	335	9	,	,	PUNCT
ejpam-5401	335	10	τpc	τpc	NOUN
ejpam-5401	335	11	,	,	PUNCT
ejpam-5401	335	12	vψ	vψ	X
ejpam-5401	335	13	)	)	PUNCT
ejpam-5401	335	14	in	in	ADP
ejpam-5401	335	15	example	example	NOUN
ejpam-5401	335	16	2	2	X
ejpam-5401	335	17	.	.	X
ejpam-5401	336	1	let	let	VERB
ejpam-5401	336	2	(	(	PUNCT
ejpam-5401	336	3	γ4	γ4	NOUN
ejpam-5401	336	4	,	,	PUNCT
ejpam-5401	336	5	c4	c4	NOUN
ejpam-5401	336	6	,	,	PUNCT
ejpam-5401	336	7	v	v	NOUN
ejpam-5401	336	8	ψ	ψ	NOUN
ejpam-5401	336	9	)	)	PUNCT
ejpam-5401	336	10	pc	pc	NOUN
ejpam-5401	337	1	and	and	CCONJ
ejpam-5401	337	2	(	(	PUNCT
ejpam-5401	337	3	γ5	γ5	PROPN
ejpam-5401	337	4	,	,	PUNCT
ejpam-5401	337	5	c5	c5	PROPN
ejpam-5401	337	6	,	,	PUNCT
ejpam-5401	337	7	v	v	NOUN
ejpam-5401	337	8	ψ	ψ	NOUN
ejpam-5401	337	9	)	)	PUNCT
ejpam-5401	337	10	pc	pc	NOUN
ejpam-5401	337	11	be	be	VERB
ejpam-5401	337	12	two	two	NUM
ejpam-5401	337	13	pchs	pchs	ADJ
ejpam-5401	337	14	sets	set	NOUN
ejpam-5401	337	15	defined	define	VERB
ejpam-5401	337	16	as	as	SCONJ
ejpam-5401	337	17	follows	follow	VERB
ejpam-5401	337	18	:(	:(	PROPN
ejpam-5401	337	19	γ4	γ4	NOUN
ejpam-5401	337	20	,	,	PUNCT
ejpam-5401	337	21	c4	c4	NOUN
ejpam-5401	337	22	,	,	PUNCT
ejpam-5401	337	23	v	v	NOUN
ejpam-5401	337	24	ψ	ψ	NOUN
ejpam-5401	337	25	)	)	PUNCT
ejpam-5401	337	26	pc	pc	NOUN
ejpam-5401	337	27	=	=	SYM
ejpam-5401	337	28	{	{	PUNCT
ejpam-5401	337	29	<	<	X
ejpam-5401	337	30	(	(	PUNCT
ejpam-5401	337	31	α	α	NOUN
ejpam-5401	337	32	)	)	PUNCT
ejpam-5401	337	33	,	,	PUNCT
ejpam-5401	337	34	0pc	0pc	NOUN
ejpam-5401	337	35	>	>	X
ejpam-5401	337	36	,	,	PUNCT
ejpam-5401	337	37	<	<	X
ejpam-5401	337	38	(	(	PUNCT
ejpam-5401	337	39	β	β	NOUN
ejpam-5401	337	40	)	)	PUNCT
ejpam-5401	337	41	,	,	PUNCT
ejpam-5401	337	42	{	{	PUNCT
ejpam-5401	337	43	x4	x4	X
ejpam-5401	337	44	(	(	PUNCT
ejpam-5401	337	45	1	1	NUM
ejpam-5401	337	46	,	,	PUNCT
ejpam-5401	337	47	1	1	NUM
ejpam-5401	337	48	,	,	PUNCT
ejpam-5401	337	49	0	0	NUM
ejpam-5401	337	50	)	)	PUNCT
ejpam-5401	337	51	}	}	PUNCT
ejpam-5401	337	52	>	>	PUNCT
ejpam-5401	337	53	}	}	PUNCT
ejpam-5401	337	54	(	(	PUNCT
ejpam-5401	337	55	γ5	γ5	PROPN
ejpam-5401	337	56	,	,	PUNCT
ejpam-5401	337	57	c5	c5	PROPN
ejpam-5401	337	58	,	,	PUNCT
ejpam-5401	337	59	v	v	NOUN
ejpam-5401	337	60	ψ	ψ	NOUN
ejpam-5401	337	61	)	)	PUNCT
ejpam-5401	337	62	pc	pc	NOUN
ejpam-5401	337	63	=	=	SYM
ejpam-5401	337	64	{	{	PUNCT
ejpam-5401	337	65	<	<	X
ejpam-5401	337	66	(	(	PUNCT
ejpam-5401	337	67	α	α	NOUN
ejpam-5401	337	68	)	)	PUNCT
ejpam-5401	337	69	,	,	PUNCT
ejpam-5401	337	70	{	{	PUNCT
ejpam-5401	337	71	x2	x2	X
ejpam-5401	337	72	(	(	PUNCT
ejpam-5401	337	73	1	1	NUM
ejpam-5401	337	74	,	,	PUNCT
ejpam-5401	337	75	1	1	NUM
ejpam-5401	337	76	,	,	PUNCT
ejpam-5401	337	77	0	0	NUM
ejpam-5401	337	78	)	)	PUNCT
ejpam-5401	337	79	}	}	PUNCT
ejpam-5401	337	80	>	>	PUNCT
ejpam-5401	337	81	,	,	PUNCT
ejpam-5401	337	82	<	<	X
ejpam-5401	337	83	(	(	PUNCT
ejpam-5401	337	84	β	β	NOUN
ejpam-5401	337	85	)	)	PUNCT
ejpam-5401	337	86	,	,	PUNCT
ejpam-5401	337	87	{	{	PUNCT
ejpam-5401	337	88	x3	x3	VERB
ejpam-5401	337	89	(	(	PUNCT
ejpam-5401	337	90	1	1	NUM
ejpam-5401	337	91	,	,	PUNCT
ejpam-5401	337	92	1	1	NUM
ejpam-5401	337	93	,	,	PUNCT
ejpam-5401	337	94	0	0	NUM
ejpam-5401	337	95	)	)	PUNCT
ejpam-5401	337	96	}	}	PUNCT
ejpam-5401	337	97	>	>	PUNCT
ejpam-5401	337	98	}	}	PUNCT
ejpam-5401	337	99	now	now	ADV
ejpam-5401	337	100	,	,	PUNCT
ejpam-5401	337	101	(	(	PUNCT
ejpam-5401	337	102	γ4	γ4	NOUN
ejpam-5401	337	103	,	,	PUNCT
ejpam-5401	337	104	c4	c4	NOUN
ejpam-5401	337	105	,	,	PUNCT
ejpam-5401	337	106	v	v	NOUN
ejpam-5401	337	107	ψ	ψ	NOUN
ejpam-5401	337	108	)	)	PUNCT
ejpam-5401	337	109	d	d	NOUN
ejpam-5401	337	110	pc	pc	NOUN
ejpam-5401	337	111	≍	≍	VERB
ejpam-5401	337	112	⊓	⊓	PROPN
ejpam-5401	337	113	(	(	PUNCT
ejpam-5401	337	114	γ5	γ5	PROPN
ejpam-5401	337	115	,	,	PUNCT
ejpam-5401	337	116	c5	c5	PROPN
ejpam-5401	337	117	,	,	PUNCT
ejpam-5401	337	118	v	v	NOUN
ejpam-5401	337	119	ψ	ψ	NOUN
ejpam-5401	337	120	)	)	PUNCT
ejpam-5401	337	121	d	d	NOUN
ejpam-5401	337	122	pc	pc	NOUN
ejpam-5401	337	123	≍	≍	NOUN
ejpam-5401	337	124	=	=	PUNCT
ejpam-5401	337	125	{	{	PUNCT
ejpam-5401	337	126	x1	x1	PROPN
ejpam-5401	337	127	,	,	PUNCT
ejpam-5401	337	128	x2	x2	PROPN
ejpam-5401	337	129	,	,	PUNCT
ejpam-5401	337	130	x4	x4	PROPN
ejpam-5401	337	131	}	}	PUNCT
ejpam-5401	337	132	but	but	CCONJ
ejpam-5401	337	133	[	[	X
ejpam-5401	337	134	(	(	PUNCT
ejpam-5401	337	135	γ4	γ4	PROPN
ejpam-5401	337	136	,	,	PUNCT
ejpam-5401	337	137	c4	c4	NOUN
ejpam-5401	337	138	,	,	PUNCT
ejpam-5401	337	139	v	v	NOUN
ejpam-5401	337	140	ψ	ψ	NOUN
ejpam-5401	337	141	)	)	PUNCT
ejpam-5401	337	142	pc	pc	NOUN
ejpam-5401	337	143	≍	≍	VERB
ejpam-5401	337	144	⊓	⊓	PROPN
ejpam-5401	337	145	(	(	PUNCT
ejpam-5401	337	146	γ5	γ5	PROPN
ejpam-5401	337	147	,	,	PUNCT
ejpam-5401	337	148	c5	c5	PROPN
ejpam-5401	337	149	,	,	PUNCT
ejpam-5401	337	150	v	v	NOUN
ejpam-5401	337	151	ψ	ψ	NOUN
ejpam-5401	337	152	)	)	PUNCT
ejpam-5401	337	153	pc	pc	NOUN
ejpam-5401	337	154	]	]	PUNCT
ejpam-5401	337	155	d	d	X
ejpam-5401	337	156	≍	≍	PROPN
ejpam-5401	337	157	=	=	SYM
ejpam-5401	337	158	(	(	PUNCT
ejpam-5401	337	159	φ	φ	PROPN
ejpam-5401	337	160	,	,	PUNCT
ejpam-5401	337	161	c	c	NOUN
ejpam-5401	337	162	,	,	PUNCT
ejpam-5401	337	163	v	v	NOUN
ejpam-5401	337	164	ψ	ψ	NOUN
ejpam-5401	337	165	)	)	PUNCT
ejpam-5401	337	166	pc	pc	NOUN
ejpam-5401	337	167	.	.	PUNCT
ejpam-5401	338	1	hence	hence	ADV
ejpam-5401	338	2	,	,	PUNCT
ejpam-5401	338	3	[	[	X
ejpam-5401	338	4	(	(	PUNCT
ejpam-5401	338	5	γ1	γ1	PROPN
ejpam-5401	338	6	,	,	PUNCT
ejpam-5401	338	7	c	c	X
ejpam-5401	338	8	,	,	PUNCT
ejpam-5401	338	9	v	v	NOUN
ejpam-5401	338	10	ψ	ψ	NOUN
ejpam-5401	338	11	)	)	PUNCT
ejpam-5401	338	12	pc	pc	NOUN
ejpam-5401	338	13	≍	≍	VERB
ejpam-5401	338	14	⊓	⊓	PROPN
ejpam-5401	338	15	(	(	PUNCT
ejpam-5401	338	16	γ2	γ2	PROPN
ejpam-5401	338	17	,	,	PUNCT
ejpam-5401	338	18	c	c	X
ejpam-5401	338	19	,	,	PUNCT
ejpam-5401	338	20	v	v	NOUN
ejpam-5401	338	21	ψ	ψ	NOUN
ejpam-5401	338	22	)	)	PUNCT
ejpam-5401	338	23	pc	pc	NOUN
ejpam-5401	338	24	]	]	PUNCT
ejpam-5401	338	25	d	d	X
ejpam-5401	338	26	≍	≍	PROPN
ejpam-5401	338	27	̸=	̸=	PROPN
ejpam-5401	338	28	(	(	PUNCT
ejpam-5401	338	29	γ1	γ1	PROPN
ejpam-5401	338	30	,	,	PUNCT
ejpam-5401	338	31	c	c	X
ejpam-5401	338	32	,	,	PUNCT
ejpam-5401	338	33	v	v	NOUN
ejpam-5401	338	34	ψ	ψ	NOUN
ejpam-5401	338	35	)	)	PUNCT
ejpam-5401	338	36	d	d	NOUN
ejpam-5401	338	37	pc	pc	NOUN
ejpam-5401	338	38	≍	≍	VERB
ejpam-5401	338	39	⊓	⊓	PROPN
ejpam-5401	338	40	(	(	PUNCT
ejpam-5401	338	41	γ2	γ2	PROPN
ejpam-5401	338	42	,	,	PUNCT
ejpam-5401	338	43	c	c	X
ejpam-5401	338	44	,	,	PUNCT
ejpam-5401	338	45	v	v	NOUN
ejpam-5401	338	46	ψ	ψ	NOUN
ejpam-5401	338	47	)	)	PUNCT
ejpam-5401	338	48	d	d	NOUN
ejpam-5401	338	49	pc	pc	NOUN
ejpam-5401	338	50	.	.	PUNCT
ejpam-5401	339	1	n.	n.	PROPN
ejpam-5401	339	2	k.	k.	PROPN
ejpam-5401	339	3	ahmed	ahmed	PROPN
ejpam-5401	339	4	,	,	PUNCT
ejpam-5401	339	5	o.	o.	PROPN
ejpam-5401	339	6	t.	t.	PROPN
ejpam-5401	339	7	pirbal	pirbal	PROPN
ejpam-5401	339	8	/	/	SYM
ejpam-5401	339	9	eur	eur	PROPN
ejpam-5401	339	10	.	.	PUNCT
ejpam-5401	340	1	j.	j.	PROPN
ejpam-5401	340	2	pure	pure	PROPN
ejpam-5401	340	3	appl	appl	PROPN
ejpam-5401	340	4	.	.	PROPN
ejpam-5401	340	5	math	math	PROPN
ejpam-5401	340	6	,	,	PUNCT
ejpam-5401	340	7	17	17	NUM
ejpam-5401	340	8	(	(	PUNCT
ejpam-5401	340	9	4	4	NUM
ejpam-5401	340	10	)	)	PUNCT
ejpam-5401	340	11	(	(	PUNCT
ejpam-5401	340	12	2024	2024	NUM
ejpam-5401	340	13	)	)	PUNCT
ejpam-5401	340	14	,	,	PUNCT
ejpam-5401	340	15	3043	3043	NUM
ejpam-5401	340	16	-	-	SYM
ejpam-5401	340	17	3060	3060	NUM
ejpam-5401	340	18	3053	3053	NUM
ejpam-5401	340	19	definition	definition	NOUN
ejpam-5401	340	20	30	30	NUM
ejpam-5401	340	21	.	.	PUNCT
ejpam-5401	341	1	let	let	AUX
ejpam-5401	341	2	(	(	PUNCT
ejpam-5401	341	3	up	up	ADP
ejpam-5401	341	4	,	,	PUNCT
ejpam-5401	341	5	τpc	τpc	NOUN
ejpam-5401	341	6	,	,	PUNCT
ejpam-5401	341	7	vψ	vψ	AUX
ejpam-5401	341	8	)	)	PUNCT
ejpam-5401	341	9	be	be	AUX
ejpam-5401	341	10	a	a	DET
ejpam-5401	341	11	pchst	pchst	ADJ
ejpam-5401	341	12	space	space	NOUN
ejpam-5401	341	13	over	over	ADP
ejpam-5401	341	14	up	up	ADP
ejpam-5401	341	15	and	and	CCONJ
ejpam-5401	341	16	y	y	PRON
ejpam-5401	341	17	be	be	AUX
ejpam-5401	341	18	a	a	DET
ejpam-5401	341	19	non	non	ADJ
ejpam-5401	341	20	-	-	ADJ
ejpam-5401	341	21	empty	empty	ADJ
ejpam-5401	341	22	subset	subset	NOUN
ejpam-5401	341	23	of	of	ADP
ejpam-5401	341	24	up	up	ADP
ejpam-5401	341	25	.	.	PUNCT
ejpam-5401	342	1	then	then	ADV
ejpam-5401	342	2	τpcy	τpcy	VERB
ejpam-5401	342	3	=	=	SYM
ejpam-5401	342	4	{	{	PUNCT
ejpam-5401	342	5	(	(	PUNCT
ejpam-5401	342	6	γy	γy	INTJ
ejpam-5401	342	7	,	,	PUNCT
ejpam-5401	342	8	c	c	NOUN
ejpam-5401	342	9	,	,	PUNCT
ejpam-5401	342	10	v	v	NOUN
ejpam-5401	342	11	ψ	ψ	NOUN
ejpam-5401	342	12	)	)	PUNCT
ejpam-5401	342	13	pc	pc	NOUN
ejpam-5401	342	14	∣∣∣	∣∣∣	NOUN
ejpam-5401	342	15	(	(	PUNCT
ejpam-5401	342	16	γ	γ	X
ejpam-5401	342	17	,	,	PUNCT
ejpam-5401	342	18	c	c	NOUN
ejpam-5401	342	19	,	,	PUNCT
ejpam-5401	342	20	v	v	NOUN
ejpam-5401	342	21	ψ	ψ	NOUN
ejpam-5401	342	22	)	)	PUNCT
ejpam-5401	342	23	pc	pc	NOUN
ejpam-5401	342	24	∈τpc	∈τpc	PROPN
ejpam-5401	342	25	}	}	PUNCT
ejpam-5401	342	26	is	be	AUX
ejpam-5401	342	27	said	say	VERB
ejpam-5401	342	28	to	to	PART
ejpam-5401	342	29	be	be	AUX
ejpam-5401	342	30	the	the	DET
ejpam-5401	342	31	relative	relative	ADJ
ejpam-5401	342	32	pchs	pchs	ADJ
ejpam-5401	342	33	topology	topology	NOUN
ejpam-5401	342	34	on	on	ADP
ejpam-5401	342	35	y	y	PROPN
ejpam-5401	342	36	and	and	CCONJ
ejpam-5401	342	37	(	(	PUNCT
ejpam-5401	342	38	y	y	PROPN
ejpam-5401	342	39	,	,	PUNCT
ejpam-5401	342	40	τpcy	τpcy	NOUN
ejpam-5401	342	41	,	,	PUNCT
ejpam-5401	342	42	vψ	vψ	VERB
ejpam-5401	342	43	)	)	PUNCT
ejpam-5401	342	44	is	be	AUX
ejpam-5401	342	45	called	call	VERB
ejpam-5401	342	46	a	a	DET
ejpam-5401	342	47	pchs	pchs	ADJ
ejpam-5401	342	48	subspace	subspace	NOUN
ejpam-5401	342	49	of	of	ADP
ejpam-5401	342	50	(	(	PUNCT
ejpam-5401	342	51	up	up	ADP
ejpam-5401	342	52	,	,	PUNCT
ejpam-5401	342	53	τpc	τpc	NOUN
ejpam-5401	342	54	,	,	PUNCT
ejpam-5401	342	55	vψ	vψ	NOUN
ejpam-5401	342	56	)	)	PUNCT
ejpam-5401	342	57	.	.	PUNCT
ejpam-5401	343	1	one	one	PRON
ejpam-5401	343	2	can	can	AUX
ejpam-5401	343	3	verify	verify	VERB
ejpam-5401	343	4	that	that	DET
ejpam-5401	343	5	τpcy	τpcy	NOUN
ejpam-5401	343	6	is	be	AUX
ejpam-5401	343	7	a	a	DET
ejpam-5401	343	8	pchs	pchs	ADJ
ejpam-5401	343	9	topology	topology	NOUN
ejpam-5401	343	10	on	on	ADP
ejpam-5401	343	11	y	y	PROPN
ejpam-5401	343	12	.	.	PUNCT
ejpam-5401	344	1	example	example	NOUN
ejpam-5401	345	1	5	5	NUM
ejpam-5401	345	2	.	.	PUNCT
ejpam-5401	345	3	consider	consider	VERB
ejpam-5401	345	4	the	the	DET
ejpam-5401	345	5	pchst	pchst	ADJ
ejpam-5401	345	6	space	space	NOUN
ejpam-5401	345	7	(	(	PUNCT
ejpam-5401	345	8	up	up	ADP
ejpam-5401	345	9	,	,	PUNCT
ejpam-5401	345	10	τpc	τpc	NOUN
ejpam-5401	345	11	,	,	PUNCT
ejpam-5401	345	12	vψ	vψ	X
ejpam-5401	345	13	)	)	PUNCT
ejpam-5401	345	14	in	in	ADP
ejpam-5401	345	15	example	example	NOUN
ejpam-5401	346	1	2	2	NUM
ejpam-5401	346	2	.	.	PUNCT
ejpam-5401	347	1	and	and	CCONJ
ejpam-5401	347	2	definition	definition	NOUN
ejpam-5401	347	3	23	23	NUM
ejpam-5401	347	4	.	.	PUNCT
ejpam-5401	348	1	let	let	VERB
ejpam-5401	348	2	y	y	NOUN
ejpam-5401	348	3	=	=	PRON
ejpam-5401	348	4	{	{	PUNCT
ejpam-5401	348	5	x2	x2	PROPN
ejpam-5401	348	6	,	,	PUNCT
ejpam-5401	348	7	x3	x3	ADJ
ejpam-5401	348	8	}	}	PUNCT
ejpam-5401	348	9	,	,	PUNCT
ejpam-5401	348	10	then	then	ADV
ejpam-5401	348	11	:(	:(	PUNCT
ejpam-5401	348	12	γy1	γy1	NOUN
ejpam-5401	348	13	,	,	PUNCT
ejpam-5401	348	14	c1	c1	PROPN
ejpam-5401	348	15	,	,	PUNCT
ejpam-5401	348	16	v	v	NOUN
ejpam-5401	348	17	ψ	ψ	NOUN
ejpam-5401	348	18	)	)	PUNCT
ejpam-5401	348	19	pc	pc	NOUN
ejpam-5401	349	1	=	=	SYM
ejpam-5401	349	2	{	{	PUNCT
ejpam-5401	349	3	<	<	X
ejpam-5401	349	4	(	(	PUNCT
ejpam-5401	349	5	α	α	NOUN
ejpam-5401	349	6	)	)	PUNCT
ejpam-5401	349	7	,	,	PUNCT
ejpam-5401	349	8	{	{	PUNCT
ejpam-5401	349	9	x3	x3	VERB
ejpam-5401	349	10	(	(	PUNCT
ejpam-5401	349	11	1	1	NUM
ejpam-5401	349	12	,	,	PUNCT
ejpam-5401	349	13	1	1	NUM
ejpam-5401	349	14	,	,	PUNCT
ejpam-5401	349	15	0	0	NUM
ejpam-5401	349	16	)	)	PUNCT
ejpam-5401	349	17	}	}	PUNCT
ejpam-5401	349	18	>	>	PUNCT
ejpam-5401	349	19	,	,	PUNCT
ejpam-5401	349	20	<	<	X
ejpam-5401	349	21	(	(	PUNCT
ejpam-5401	349	22	β	β	NOUN
ejpam-5401	349	23	)	)	PUNCT
ejpam-5401	349	24	,	,	PUNCT
ejpam-5401	349	25	{	{	PUNCT
ejpam-5401	349	26	x2	x2	X
ejpam-5401	349	27	(	(	PUNCT
ejpam-5401	349	28	1	1	NUM
ejpam-5401	349	29	,	,	PUNCT
ejpam-5401	349	30	1	1	NUM
ejpam-5401	349	31	,	,	PUNCT
ejpam-5401	349	32	1	1	NUM
ejpam-5401	349	33	)	)	PUNCT
ejpam-5401	349	34	,	,	PUNCT
ejpam-5401	349	35	x3	x3	VERB
ejpam-5401	349	36	(	(	PUNCT
ejpam-5401	349	37	1	1	NUM
ejpam-5401	349	38	,	,	PUNCT
ejpam-5401	349	39	1	1	NUM
ejpam-5401	349	40	,	,	PUNCT
ejpam-5401	349	41	1	1	NUM
ejpam-5401	349	42	)	)	PUNCT
ejpam-5401	349	43	}	}	PUNCT
ejpam-5401	349	44	>	>	PUNCT
ejpam-5401	349	45	}	}	PUNCT
ejpam-5401	349	46	(	(	PUNCT
ejpam-5401	349	47	γy2	γy2	PROPN
ejpam-5401	349	48	,	,	PUNCT
ejpam-5401	349	49	c2	c2	PROPN
ejpam-5401	349	50	,	,	PUNCT
ejpam-5401	349	51	v	v	NOUN
ejpam-5401	349	52	ψ	ψ	NOUN
ejpam-5401	349	53	)	)	PUNCT
ejpam-5401	349	54	pc	pc	NOUN
ejpam-5401	349	55	=	=	SYM
ejpam-5401	349	56	{	{	PUNCT
ejpam-5401	349	57	<	<	X
ejpam-5401	349	58	(	(	PUNCT
ejpam-5401	349	59	α	α	NOUN
ejpam-5401	349	60	)	)	PUNCT
ejpam-5401	349	61	,	,	PUNCT
ejpam-5401	349	62	{	{	PUNCT
ejpam-5401	349	63	x2	x2	X
ejpam-5401	349	64	(	(	PUNCT
ejpam-5401	349	65	1	1	NUM
ejpam-5401	349	66	,	,	PUNCT
ejpam-5401	349	67	1	1	NUM
ejpam-5401	349	68	,	,	PUNCT
ejpam-5401	349	69	1	1	NUM
ejpam-5401	349	70	)	)	PUNCT
ejpam-5401	349	71	,	,	PUNCT
ejpam-5401	349	72	x3	x3	VERB
ejpam-5401	349	73	(	(	PUNCT
ejpam-5401	349	74	1	1	NUM
ejpam-5401	349	75	,	,	PUNCT
ejpam-5401	349	76	1	1	NUM
ejpam-5401	349	77	,	,	PUNCT
ejpam-5401	349	78	1	1	NUM
ejpam-5401	349	79	)	)	PUNCT
ejpam-5401	349	80	}	}	PUNCT
ejpam-5401	349	81	>	>	PUNCT
ejpam-5401	349	82	,	,	PUNCT
ejpam-5401	349	83	<	<	X
ejpam-5401	349	84	(	(	PUNCT
ejpam-5401	349	85	β	β	X
ejpam-5401	349	86	)	)	PUNCT
ejpam-5401	349	87	,	,	PUNCT
ejpam-5401	349	88	0pc	0pc	NOUN
ejpam-5401	349	89	>	>	X
ejpam-5401	349	90	}	}	PUNCT
ejpam-5401	349	91	.	.	PUNCT
ejpam-5401	350	1	(	(	PUNCT
ejpam-5401	350	2	γy3	γy3	NOUN
ejpam-5401	350	3	,	,	PUNCT
ejpam-5401	350	4	c3	c3	PROPN
ejpam-5401	350	5	,	,	PUNCT
ejpam-5401	350	6	v	v	NOUN
ejpam-5401	350	7	ψ	ψ	NOUN
ejpam-5401	350	8	)	)	PUNCT
ejpam-5401	350	9	pc	pc	NOUN
ejpam-5401	350	10	=	=	SYM
ejpam-5401	350	11	{	{	PUNCT
ejpam-5401	350	12	<	<	X
ejpam-5401	350	13	(	(	PUNCT
ejpam-5401	350	14	α	α	NOUN
ejpam-5401	350	15	)	)	PUNCT
ejpam-5401	350	16	,	,	PUNCT
ejpam-5401	350	17	{	{	PUNCT
ejpam-5401	350	18	x3	x3	VERB
ejpam-5401	350	19	(	(	PUNCT
ejpam-5401	350	20	1	1	NUM
ejpam-5401	350	21	,	,	PUNCT
ejpam-5401	350	22	1	1	NUM
ejpam-5401	350	23	,	,	PUNCT
ejpam-5401	350	24	0	0	NUM
ejpam-5401	350	25	)	)	PUNCT
ejpam-5401	350	26	}	}	PUNCT
ejpam-5401	351	1	>	>	PUNCT
ejpam-5401	351	2	,	,	PUNCT
ejpam-5401	351	3	<	<	X
ejpam-5401	351	4	(	(	PUNCT
ejpam-5401	351	5	β	β	X
ejpam-5401	351	6	)	)	PUNCT
ejpam-5401	351	7	,	,	PUNCT
ejpam-5401	351	8	0pc	0pc	NOUN
ejpam-5401	351	9	>	>	X
ejpam-5401	351	10	}	}	PUNCT
ejpam-5401	351	11	.	.	PUNCT
ejpam-5401	352	1	then	then	ADV
ejpam-5401	352	2	,	,	PUNCT
ejpam-5401	352	3	τpcy	τpcy	NOUN
ejpam-5401	352	4	=	=	SYM
ejpam-5401	352	5	{	{	PUNCT
ejpam-5401	352	6	(	(	PUNCT
ejpam-5401	352	7	φ	φ	PROPN
ejpam-5401	352	8	,	,	PUNCT
ejpam-5401	352	9	c	c	NOUN
ejpam-5401	352	10	,	,	PUNCT
ejpam-5401	352	11	v	v	NOUN
ejpam-5401	352	12	ψ	ψ	NOUN
ejpam-5401	352	13	)	)	PUNCT
ejpam-5401	352	14	pc	pc	NOUN
ejpam-5401	352	15	,	,	PUNCT
ejpam-5401	352	16	(	(	PUNCT
ejpam-5401	352	17	γy1	γy1	NOUN
ejpam-5401	352	18	,	,	PUNCT
ejpam-5401	352	19	c1	c1	PROPN
ejpam-5401	352	20	,	,	PUNCT
ejpam-5401	352	21	vψ)pc	vψ)pc	X
ejpam-5401	352	22	,	,	PUNCT
ejpam-5401	352	23	(	(	PUNCT
ejpam-5401	352	24	γy2	γy2	PROPN
ejpam-5401	352	25	,	,	PUNCT
ejpam-5401	352	26	c2	c2	PROPN
ejpam-5401	352	27	,	,	PUNCT
ejpam-5401	352	28	vψ)pc	vψ)pc	X
ejpam-5401	352	29	,	,	PUNCT
ejpam-5401	352	30	(	(	PUNCT
ejpam-5401	352	31	γy3	γy3	PROPN
ejpam-5401	352	32	,	,	PUNCT
ejpam-5401	352	33	c3	c3	PROPN
ejpam-5401	352	34	,	,	PUNCT
ejpam-5401	352	35	vψ)pc	vψ)pc	X
ejpam-5401	352	36	,	,	PUNCT
ejpam-5401	352	37	(	(	PUNCT
ejpam-5401	352	38	ψy	ψy	PROPN
ejpam-5401	352	39	,	,	PUNCT
ejpam-5401	352	40	c	c	NOUN
ejpam-5401	352	41	,	,	PUNCT
ejpam-5401	352	42	v	v	X
ejpam-5401	352	43	ψ)pc	ψ)pc	PROPN
ejpam-5401	352	44	}	}	PUNCT
ejpam-5401	352	45	proposition	proposition	NOUN
ejpam-5401	352	46	5	5	NUM
ejpam-5401	352	47	.	.	PUNCT
ejpam-5401	353	1	let	let	AUX
ejpam-5401	353	2	(	(	PUNCT
ejpam-5401	353	3	y	y	NOUN
ejpam-5401	353	4	,	,	PUNCT
ejpam-5401	353	5	τpcy	τpcy	NOUN
ejpam-5401	353	6	,	,	PUNCT
ejpam-5401	353	7	vψ	vψ	AUX
ejpam-5401	353	8	)	)	PUNCT
ejpam-5401	353	9	be	be	AUX
ejpam-5401	353	10	a	a	DET
ejpam-5401	353	11	pchs	pchs	ADJ
ejpam-5401	353	12	subspace	subspace	NOUN
ejpam-5401	353	13	of	of	ADP
ejpam-5401	353	14	pchst	pchst	ADJ
ejpam-5401	353	15	space	space	NOUN
ejpam-5401	353	16	(	(	PUNCT
ejpam-5401	353	17	up	up	ADP
ejpam-5401	353	18	,	,	PUNCT
ejpam-5401	353	19	τpc	τpc	NOUN
ejpam-5401	353	20	,	,	PUNCT
ejpam-5401	353	21	vψ	vψ	PROPN
ejpam-5401	353	22	)	)	PUNCT
ejpam-5401	353	23	and	and	CCONJ
ejpam-5401	353	24	(	(	PUNCT
ejpam-5401	353	25	γy	γy	PROPN
ejpam-5401	353	26	,	,	PUNCT
ejpam-5401	353	27	c	c	NOUN
ejpam-5401	353	28	,	,	PUNCT
ejpam-5401	353	29	v	v	NOUN
ejpam-5401	353	30	ψ	ψ	NOUN
ejpam-5401	353	31	)	)	PUNCT
ejpam-5401	353	32	pc	pc	NOUN
ejpam-5401	353	33	be	be	AUX
ejpam-5401	353	34	a	a	DET
ejpam-5401	353	35	pchs	pch	NOUN
ejpam-5401	353	36	open	open	ADJ
ejpam-5401	353	37	set	set	VERB
ejpam-5401	353	38	in	in	ADP
ejpam-5401	353	39	y	y	PROPN
ejpam-5401	353	40	.	.	PUNCT
ejpam-5401	354	1	if	if	SCONJ
ejpam-5401	354	2	(	(	PUNCT
ejpam-5401	354	3	y	y	NOUN
ejpam-5401	354	4	,	,	PUNCT
ejpam-5401	354	5	c	c	NOUN
ejpam-5401	354	6	,	,	PUNCT
ejpam-5401	354	7	v	v	NOUN
ejpam-5401	354	8	ψ	ψ	NOUN
ejpam-5401	354	9	)	)	PUNCT
ejpam-5401	354	10	pc	pc	NOUN
ejpam-5401	354	11	∈	∈	NOUN
ejpam-5401	354	12	τpc	τpc	NOUN
ejpam-5401	354	13	,	,	PUNCT
ejpam-5401	354	14	then	then	ADV
ejpam-5401	354	15	(	(	PUNCT
ejpam-5401	354	16	γy	γy	INTJ
ejpam-5401	354	17	,	,	PUNCT
ejpam-5401	354	18	c	c	NOUN
ejpam-5401	354	19	,	,	PUNCT
ejpam-5401	354	20	v	v	NOUN
ejpam-5401	354	21	ψ	ψ	NOUN
ejpam-5401	354	22	)	)	PUNCT
ejpam-5401	354	23	pc	pc	NOUN
ejpam-5401	354	24	∈	∈	NOUN
ejpam-5401	354	25	τpc	τpc	NOUN
ejpam-5401	354	26	.	.	PUNCT
ejpam-5401	355	1	proof	proof	NOUN
ejpam-5401	355	2	.	.	PUNCT
ejpam-5401	356	1	let	let	VERB
ejpam-5401	356	2	(	(	PUNCT
ejpam-5401	356	3	γy	γy	NOUN
ejpam-5401	356	4	,	,	PUNCT
ejpam-5401	356	5	c	c	NOUN
ejpam-5401	356	6	,	,	PUNCT
ejpam-5401	356	7	v	v	NOUN
ejpam-5401	356	8	ψ	ψ	NOUN
ejpam-5401	356	9	)	)	PUNCT
ejpam-5401	356	10	pc	pc	NOUN
ejpam-5401	356	11	be	be	AUX
ejpam-5401	356	12	a	a	DET
ejpam-5401	356	13	pchs	pch	NOUN
ejpam-5401	356	14	open	open	ADJ
ejpam-5401	356	15	set	set	VERB
ejpam-5401	356	16	in	in	ADP
ejpam-5401	356	17	y	y	PROPN
ejpam-5401	356	18	,	,	PUNCT
ejpam-5401	356	19	then	then	ADV
ejpam-5401	356	20	there	there	PRON
ejpam-5401	356	21	exist	exist	VERB
ejpam-5401	356	22	a	a	DET
ejpam-5401	356	23	pchs	pch	NOUN
ejpam-5401	356	24	open	open	ADJ
ejpam-5401	356	25	set	set	NOUN
ejpam-5401	356	26	(	(	PUNCT
ejpam-5401	356	27	γ	γ	X
ejpam-5401	356	28	,	,	PUNCT
ejpam-5401	356	29	c	c	NOUN
ejpam-5401	356	30	,	,	PUNCT
ejpam-5401	356	31	v	v	NOUN
ejpam-5401	356	32	ψ	ψ	NOUN
ejpam-5401	356	33	)	)	PUNCT
ejpam-5401	356	34	pc	pc	NOUN
ejpam-5401	356	35	in	in	ADP
ejpam-5401	356	36	up	up	ADP
ejpam-5401	356	37	such	such	ADJ
ejpam-5401	356	38	that	that	SCONJ
ejpam-5401	356	39	(	(	PUNCT
ejpam-5401	356	40	γy	γy	NOUN
ejpam-5401	356	41	,	,	PUNCT
ejpam-5401	356	42	c	c	NOUN
ejpam-5401	356	43	,	,	PUNCT
ejpam-5401	356	44	v	v	NOUN
ejpam-5401	356	45	ψ	ψ	NOUN
ejpam-5401	356	46	)	)	PUNCT
ejpam-5401	356	47	pc	pc	NOUN
ejpam-5401	356	48	≍	≍	NOUN
ejpam-5401	356	49	=	=	SYM
ejpam-5401	356	50	(	(	PUNCT
ejpam-5401	356	51	y	y	PROPN
ejpam-5401	356	52	,	,	PUNCT
ejpam-5401	356	53	c	c	NOUN
ejpam-5401	356	54	,	,	PUNCT
ejpam-5401	356	55	v	v	NOUN
ejpam-5401	356	56	ψ	ψ	NOUN
ejpam-5401	356	57	)	)	PUNCT
ejpam-5401	356	58	pc	pc	NOUN
ejpam-5401	356	59	≍	≍	VERB
ejpam-5401	356	60	⊓	⊓	PROPN
ejpam-5401	356	61	(	(	PUNCT
ejpam-5401	356	62	γ	γ	X
ejpam-5401	356	63	,	,	PUNCT
ejpam-5401	356	64	c	c	NOUN
ejpam-5401	356	65	,	,	PUNCT
ejpam-5401	356	66	v	v	NOUN
ejpam-5401	356	67	ψ	ψ	NOUN
ejpam-5401	356	68	)	)	PUNCT
ejpam-5401	356	69	pc	pc	NOUN
ejpam-5401	356	70	.	.	PUNCT
ejpam-5401	357	1	now	now	ADV
ejpam-5401	357	2	,	,	PUNCT
ejpam-5401	357	3	if	if	SCONJ
ejpam-5401	357	4	(	(	PUNCT
ejpam-5401	357	5	y	y	NOUN
ejpam-5401	357	6	,	,	PUNCT
ejpam-5401	357	7	c	c	NOUN
ejpam-5401	357	8	,	,	PUNCT
ejpam-5401	357	9	v	v	NOUN
ejpam-5401	357	10	ψ	ψ	NOUN
ejpam-5401	357	11	)	)	PUNCT
ejpam-5401	357	12	pc	pc	NOUN
ejpam-5401	357	13	∈	∈	NOUN
ejpam-5401	357	14	τpc	τpc	NOUN
ejpam-5401	357	15	,	,	PUNCT
ejpam-5401	357	16	then	then	ADV
ejpam-5401	357	17	(	(	PUNCT
ejpam-5401	357	18	y	y	PROPN
ejpam-5401	357	19	,	,	PUNCT
ejpam-5401	357	20	c	c	NOUN
ejpam-5401	357	21	,	,	PUNCT
ejpam-5401	357	22	v	v	NOUN
ejpam-5401	357	23	ψ	ψ	NOUN
ejpam-5401	357	24	)	)	PUNCT
ejpam-5401	357	25	pc	pc	NOUN
ejpam-5401	357	26	≍	≍	VERB
ejpam-5401	357	27	⊓	⊓	PROPN
ejpam-5401	357	28	(	(	PUNCT
ejpam-5401	357	29	γ	γ	X
ejpam-5401	357	30	,	,	PUNCT
ejpam-5401	357	31	c	c	NOUN
ejpam-5401	357	32	,	,	PUNCT
ejpam-5401	357	33	v	v	NOUN
ejpam-5401	357	34	ψ	ψ	NOUN
ejpam-5401	357	35	)	)	PUNCT
ejpam-5401	357	36	pc	pc	NOUN
ejpam-5401	357	37	∈	∈	NOUN
ejpam-5401	357	38	τpc	τpc	NOUN
ejpam-5401	357	39	.	.	PUNCT
ejpam-5401	358	1	hence	hence	ADV
ejpam-5401	358	2	,	,	PUNCT
ejpam-5401	358	3	(	(	PUNCT
ejpam-5401	358	4	γy	γy	INTJ
ejpam-5401	358	5	,	,	PUNCT
ejpam-5401	358	6	c	c	NOUN
ejpam-5401	358	7	,	,	PUNCT
ejpam-5401	358	8	v	v	NOUN
ejpam-5401	358	9	ψ	ψ	NOUN
ejpam-5401	358	10	)	)	PUNCT
ejpam-5401	358	11	pc	pc	NOUN
ejpam-5401	358	12	∈	∈	NOUN
ejpam-5401	358	13	τpc	τpc	NOUN
ejpam-5401	358	14	.	.	PUNCT
ejpam-5401	359	1	proposition	proposition	NOUN
ejpam-5401	359	2	6	6	NUM
ejpam-5401	359	3	.	.	PUNCT
ejpam-5401	360	1	let	let	VERB
ejpam-5401	360	2	(	(	PUNCT
ejpam-5401	360	3	y	y	NOUN
ejpam-5401	360	4	,	,	PUNCT
ejpam-5401	360	5	τpcy	τpcy	NOUN
ejpam-5401	360	6	,	,	PUNCT
ejpam-5401	360	7	vψ	vψ	PROPN
ejpam-5401	360	8	)	)	PUNCT
ejpam-5401	360	9	and	and	CCONJ
ejpam-5401	360	10	(	(	PUNCT
ejpam-5401	360	11	z	z	NOUN
ejpam-5401	360	12	,	,	PUNCT
ejpam-5401	360	13	τpcz	τpcz	ADV
ejpam-5401	360	14	,	,	PUNCT
ejpam-5401	360	15	vψ	vψ	AUX
ejpam-5401	360	16	)	)	PUNCT
ejpam-5401	360	17	be	be	AUX
ejpam-5401	360	18	two	two	NUM
ejpam-5401	360	19	pchs	pch	NOUN
ejpam-5401	360	20	subspace	subspace	NOUN
ejpam-5401	360	21	of	of	ADP
ejpam-5401	360	22	(	(	PUNCT
ejpam-5401	360	23	up	up	ADP
ejpam-5401	360	24	,	,	PUNCT
ejpam-5401	360	25	τpc	τpc	NOUN
ejpam-5401	360	26	,	,	PUNCT
ejpam-5401	360	27	vψ	vψ	PROPN
ejpam-5401	360	28	)	)	PUNCT
ejpam-5401	360	29	and	and	CCONJ
ejpam-5401	360	30	let	let	VERB
ejpam-5401	360	31	y	y	PROPN
ejpam-5401	360	32	⊆	⊆	NUM
ejpam-5401	360	33	z.	z.	PROPN
ejpam-5401	360	34	then	then	ADV
ejpam-5401	360	35	(	(	PUNCT
ejpam-5401	360	36	y	y	NOUN
ejpam-5401	360	37	,	,	PUNCT
ejpam-5401	360	38	τpcy	τpcy	NOUN
ejpam-5401	360	39	,	,	PUNCT
ejpam-5401	360	40	vψ	vψ	VERB
ejpam-5401	360	41	)	)	PUNCT
ejpam-5401	360	42	is	be	AUX
ejpam-5401	360	43	a	a	DET
ejpam-5401	360	44	pchs	pchs	ADJ
ejpam-5401	360	45	subspace	subspace	NOUN
ejpam-5401	360	46	of	of	ADP
ejpam-5401	360	47	(	(	PUNCT
ejpam-5401	360	48	z	z	NOUN
ejpam-5401	360	49	,	,	PUNCT
ejpam-5401	360	50	τpcz	τpcz	ADV
ejpam-5401	360	51	,	,	PUNCT
ejpam-5401	360	52	vψ	vψ	NOUN
ejpam-5401	360	53	)	)	PUNCT
ejpam-5401	360	54	.	.	PUNCT
ejpam-5401	361	1	proof	proof	NOUN
ejpam-5401	361	2	.	.	PUNCT
ejpam-5401	362	1	let	let	VERB
ejpam-5401	362	2	(	(	PUNCT
ejpam-5401	362	3	γy	γy	NOUN
ejpam-5401	362	4	,	,	PUNCT
ejpam-5401	362	5	c	c	NOUN
ejpam-5401	362	6	,	,	PUNCT
ejpam-5401	362	7	v	v	NOUN
ejpam-5401	362	8	ψ	ψ	NOUN
ejpam-5401	362	9	)	)	PUNCT
ejpam-5401	362	10	pc	pc	NOUN
ejpam-5401	362	11	be	be	AUX
ejpam-5401	362	12	a	a	DET
ejpam-5401	362	13	pchs	pch	NOUN
ejpam-5401	362	14	open	open	ADJ
ejpam-5401	362	15	set	set	VERB
ejpam-5401	362	16	in	in	ADP
ejpam-5401	362	17	y	y	PROPN
ejpam-5401	362	18	,	,	PUNCT
ejpam-5401	362	19	then	then	ADV
ejpam-5401	362	20	there	there	PRON
ejpam-5401	362	21	exists	exist	VERB
ejpam-5401	362	22	a	a	DET
ejpam-5401	362	23	pchs	pch	NOUN
ejpam-5401	362	24	open	open	ADJ
ejpam-5401	362	25	set	set	NOUN
ejpam-5401	362	26	(	(	PUNCT
ejpam-5401	362	27	γ	γ	X
ejpam-5401	362	28	,	,	PUNCT
ejpam-5401	362	29	c	c	NOUN
ejpam-5401	362	30	,	,	PUNCT
ejpam-5401	362	31	v	v	NOUN
ejpam-5401	362	32	ψ	ψ	NOUN
ejpam-5401	362	33	)	)	PUNCT
ejpam-5401	362	34	pc	pc	NOUN
ejpam-5401	362	35	in	in	ADP
ejpam-5401	362	36	up	up	ADP
ejpam-5401	362	37	such	such	ADJ
ejpam-5401	362	38	that	that	SCONJ
ejpam-5401	362	39	(	(	PUNCT
ejpam-5401	362	40	γy	γy	NOUN
ejpam-5401	362	41	,	,	PUNCT
ejpam-5401	362	42	c	c	NOUN
ejpam-5401	362	43	,	,	PUNCT
ejpam-5401	362	44	v	v	NOUN
ejpam-5401	362	45	ψ	ψ	NOUN
ejpam-5401	362	46	)	)	PUNCT
ejpam-5401	362	47	pc	pc	NOUN
ejpam-5401	362	48	≍	≍	NOUN
ejpam-5401	362	49	=	=	SYM
ejpam-5401	362	50	(	(	PUNCT
ejpam-5401	362	51	y	y	PROPN
ejpam-5401	362	52	,	,	PUNCT
ejpam-5401	362	53	τpcy	τpcy	NOUN
ejpam-5401	362	54	,	,	PUNCT
ejpam-5401	362	55	vψ	vψ	AUX
ejpam-5401	362	56	)	)	PUNCT
ejpam-5401	362	57	≍	≍	PROPN
ejpam-5401	362	58	⊓	⊓	PROPN
ejpam-5401	362	59	(	(	PUNCT
ejpam-5401	362	60	γ	γ	X
ejpam-5401	362	61	,	,	PUNCT
ejpam-5401	362	62	c	c	NOUN
ejpam-5401	362	63	,	,	PUNCT
ejpam-5401	362	64	v	v	NOUN
ejpam-5401	362	65	ψ	ψ	NOUN
ejpam-5401	362	66	)	)	PUNCT
ejpam-5401	362	67	pc	pc	NOUN
ejpam-5401	362	68	,	,	PUNCT
ejpam-5401	362	69	or	or	CCONJ
ejpam-5401	362	70	equivalently	equivalently	ADV
ejpam-5401	362	71	,	,	PUNCT
ejpam-5401	362	72	for	for	ADP
ejpam-5401	362	73	each	each	DET
ejpam-5401	362	74	β	β	X
ejpam-5401	362	75	∈	∈	PROPN
ejpam-5401	363	1	vψ	vψ	ADP
ejpam-5401	363	2	,	,	PUNCT
ejpam-5401	363	3	γy	γy	X
ejpam-5401	363	4	(	(	PUNCT
ejpam-5401	363	5	β	β	NOUN
ejpam-5401	363	6	)	)	PUNCT
ejpam-5401	363	7	=	=	SYM
ejpam-5401	363	8	y	y	PROPN
ejpam-5401	363	9	⊓	⊓	PROPN
ejpam-5401	363	10	γ(β	γ(β	PROPN
ejpam-5401	363	11	)	)	PUNCT
ejpam-5401	363	12	.	.	PUNCT
ejpam-5401	364	1	since	since	SCONJ
ejpam-5401	364	2	y	y	PROPN
ejpam-5401	364	3	⊑	⊑	PROPN
ejpam-5401	364	4	z	z	PROPN
ejpam-5401	364	5	,	,	PUNCT
ejpam-5401	364	6	then	then	ADV
ejpam-5401	364	7	y	y	PROPN
ejpam-5401	364	8	=	=	SYM
ejpam-5401	364	9	y	y	PROPN
ejpam-5401	364	10	⊓	⊓	PROPN
ejpam-5401	364	11	z.	z.	PROPN
ejpam-5401	365	1	now	now	ADV
ejpam-5401	365	2	,	,	PUNCT
ejpam-5401	365	3	γy	γy	X
ejpam-5401	365	4	(	(	PUNCT
ejpam-5401	365	5	β	β	NOUN
ejpam-5401	365	6	)	)	PUNCT
ejpam-5401	365	7	=	=	SYM
ejpam-5401	365	8	y	y	PROPN
ejpam-5401	365	9	⊓γz	⊓γz	X
ejpam-5401	365	10	(	(	PUNCT
ejpam-5401	365	11	β	β	X
ejpam-5401	365	12	)	)	PUNCT
ejpam-5401	365	13	=	=	SYM
ejpam-5401	365	14	(	(	PUNCT
ejpam-5401	365	15	y	y	PROPN
ejpam-5401	365	16	⊓z)⊓γ	⊓z)⊓γ	PROPN
ejpam-5401	365	17	(	(	PUNCT
ejpam-5401	365	18	β	β	X
ejpam-5401	365	19	)	)	PUNCT
ejpam-5401	365	20	=	=	SYM
ejpam-5401	366	1	y	y	PROPN
ejpam-5401	366	2	⊓γz	⊓γz	X
ejpam-5401	366	3	(	(	PUNCT
ejpam-5401	366	4	β	β	NOUN
ejpam-5401	366	5	)	)	PUNCT
ejpam-5401	366	6	.	.	PUNCT
ejpam-5401	367	1	hence	hence	ADV
ejpam-5401	367	2	,	,	PUNCT
ejpam-5401	367	3	(	(	PUNCT
ejpam-5401	367	4	y	y	NOUN
ejpam-5401	367	5	,	,	PUNCT
ejpam-5401	367	6	τpcy	τpcy	NOUN
ejpam-5401	367	7	,	,	PUNCT
ejpam-5401	367	8	vψ	vψ	VERB
ejpam-5401	367	9	)	)	PUNCT
ejpam-5401	367	10	is	be	AUX
ejpam-5401	367	11	a	a	DET
ejpam-5401	367	12	pchs	pchs	ADJ
ejpam-5401	367	13	subspace	subspace	NOUN
ejpam-5401	367	14	of	of	ADP
ejpam-5401	367	15	(	(	PUNCT
ejpam-5401	367	16	z	z	NOUN
ejpam-5401	367	17	,	,	PUNCT
ejpam-5401	367	18	τpcz	τpcz	ADV
ejpam-5401	367	19	,	,	PUNCT
ejpam-5401	367	20	vψ	vψ	NOUN
ejpam-5401	367	21	)	)	PUNCT
ejpam-5401	367	22	.	.	PUNCT
ejpam-5401	368	1	5	5	X
ejpam-5401	368	2	.	.	X
ejpam-5401	368	3	pchs	pchs	ADJ
ejpam-5401	368	4	closure	closure	NOUN
ejpam-5401	368	5	and	and	CCONJ
ejpam-5401	368	6	pchs	pchs	ADJ
ejpam-5401	368	7	interior	interior	ADJ
ejpam-5401	368	8	definition	definition	NOUN
ejpam-5401	368	9	31	31	NUM
ejpam-5401	368	10	.	.	PUNCT
ejpam-5401	369	1	let	let	VERB
ejpam-5401	369	2	(	(	PUNCT
ejpam-5401	369	3	up	up	ADP
ejpam-5401	369	4	,	,	PUNCT
ejpam-5401	369	5	τpc	τpc	NOUN
ejpam-5401	369	6	,	,	PUNCT
ejpam-5401	369	7	vψ	vψ	AUX
ejpam-5401	369	8	)	)	PUNCT
ejpam-5401	369	9	be	be	AUX
ejpam-5401	369	10	a	a	DET
ejpam-5401	369	11	pchst	pchst	ADJ
ejpam-5401	369	12	space	space	NOUN
ejpam-5401	369	13	and	and	CCONJ
ejpam-5401	369	14	(	(	PUNCT
ejpam-5401	369	15	γ	γ	X
ejpam-5401	369	16	,	,	PUNCT
ejpam-5401	369	17	c	c	NOUN
ejpam-5401	369	18	,	,	PUNCT
ejpam-5401	369	19	v	v	NOUN
ejpam-5401	369	20	ψ	ψ	NOUN
ejpam-5401	369	21	)	)	PUNCT
ejpam-5401	369	22	pc	pc	NOUN
ejpam-5401	369	23	be	be	AUX
ejpam-5401	369	24	a	a	DET
ejpam-5401	369	25	pchs	pch	NOUN
ejpam-5401	369	26	set	set	VERB
ejpam-5401	369	27	over	over	ADP
ejpam-5401	369	28	up	up	ADP
ejpam-5401	369	29	.	.	PUNCT
ejpam-5401	370	1	the	the	DET
ejpam-5401	370	2	intersection	intersection	NOUN
ejpam-5401	370	3	of	of	ADP
ejpam-5401	370	4	all	all	DET
ejpam-5401	370	5	pchs	pch	NOUN
ejpam-5401	370	6	closed	close	VERB
ejpam-5401	370	7	supersets	superset	NOUN
ejpam-5401	370	8	of	of	ADP
ejpam-5401	370	9	(	(	PUNCT
ejpam-5401	370	10	γ	γ	X
ejpam-5401	370	11	,	,	PUNCT
ejpam-5401	370	12	c	c	NOUN
ejpam-5401	370	13	,	,	PUNCT
ejpam-5401	370	14	v	v	NOUN
ejpam-5401	370	15	ψ	ψ	NOUN
ejpam-5401	370	16	)	)	PUNCT
ejpam-5401	370	17	pc	pc	NOUN
ejpam-5401	370	18	is	be	AUX
ejpam-5401	370	19	called	call	VERB
ejpam-5401	370	20	the	the	DET
ejpam-5401	370	21	pchs	pchs	ADJ
ejpam-5401	370	22	closure	closure	NOUN
ejpam-5401	370	23	of	of	ADP
ejpam-5401	370	24	(	(	PUNCT
ejpam-5401	370	25	γ	γ	X
ejpam-5401	370	26	,	,	PUNCT
ejpam-5401	370	27	c	c	NOUN
ejpam-5401	370	28	,	,	PUNCT
ejpam-5401	370	29	v	v	NOUN
ejpam-5401	370	30	ψ	ψ	NOUN
ejpam-5401	370	31	)	)	PUNCT
ejpam-5401	370	32	pc	pc	NOUN
ejpam-5401	370	33	and	and	CCONJ
ejpam-5401	370	34	is	be	AUX
ejpam-5401	370	35	denoted	denote	VERB
ejpam-5401	370	36	by	by	ADP
ejpam-5401	370	37	(	(	PUNCT
ejpam-5401	370	38	γ	γ	X
ejpam-5401	370	39	,	,	PUNCT
ejpam-5401	370	40	c	c	NOUN
ejpam-5401	370	41	,	,	PUNCT
ejpam-5401	370	42	v	v	NOUN
ejpam-5401	370	43	ψ	ψ	NOUN
ejpam-5401	370	44	)	)	PUNCT
ejpam-5401	370	45	pc	pc	NOUN
ejpam-5401	370	46	.	.	PUNCT
ejpam-5401	371	1	in	in	ADP
ejpam-5401	371	2	other	other	ADJ
ejpam-5401	371	3	words	word	NOUN
ejpam-5401	371	4	:(	:(	PUNCT
ejpam-5401	371	5	γ	γ	X
ejpam-5401	371	6	,	,	PUNCT
ejpam-5401	371	7	c	c	NOUN
ejpam-5401	371	8	,	,	PUNCT
ejpam-5401	371	9	v	v	NOUN
ejpam-5401	371	10	ψ	ψ	NOUN
ejpam-5401	371	11	)	)	PUNCT
ejpam-5401	371	12	pc	pc	NOUN
ejpam-5401	371	13	≍	≍	NOUN
ejpam-5401	371	14	=	=	SYM
ejpam-5401	371	15	≍	≍	PROPN
ejpam-5401	371	16	⊓	⊓	PROPN
ejpam-5401	371	17	{	{	PUNCT
ejpam-5401	371	18	(	(	PUNCT
ejpam-5401	371	19	γ∗	γ∗	PROPN
ejpam-5401	371	20	,	,	PUNCT
ejpam-5401	371	21	c∗	c∗	PROPN
ejpam-5401	371	22	,	,	PUNCT
ejpam-5401	371	23	v	v	NOUN
ejpam-5401	371	24	ψ	ψ	NOUN
ejpam-5401	371	25	)	)	PUNCT
ejpam-5401	371	26	pc	pc	NOUN
ejpam-5401	371	27	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5401	371	28	(	(	PUNCT
ejpam-5401	371	29	γ∗,c∗	γ∗,c∗	PROPN
ejpam-5401	371	30	,	,	PUNCT
ejpam-5401	371	31	v	v	NOUN
ejpam-5401	371	32	ψ	ψ	NOUN
ejpam-5401	371	33	)	)	PUNCT
ejpam-5401	371	34	c	c	NOUN
ejpam-5401	371	35	pc	pc	NOUN
ejpam-5401	371	36	∈	∈	PROPN
ejpam-5401	371	37	τpc	τpc	NOUN
ejpam-5401	371	38	,	,	PUNCT
ejpam-5401	371	39	(	(	PUNCT
ejpam-5401	371	40	γ	γ	X
ejpam-5401	371	41	,	,	PUNCT
ejpam-5401	371	42	c	c	NOUN
ejpam-5401	371	43	,	,	PUNCT
ejpam-5401	371	44	v	v	NOUN
ejpam-5401	371	45	ψ	ψ	NOUN
ejpam-5401	371	46	)	)	PUNCT
ejpam-5401	371	47	pc	pc	NOUN
ejpam-5401	371	48	≍	≍	PROPN
ejpam-5401	371	49	⊑	⊑	PRON
ejpam-5401	371	50	(	(	PUNCT
ejpam-5401	371	51	γ∗,c∗	γ∗,c∗	PROPN
ejpam-5401	371	52	,	,	PUNCT
ejpam-5401	371	53	v	v	NOUN
ejpam-5401	371	54	ψ	ψ	NOUN
ejpam-5401	371	55	)	)	PUNCT
ejpam-5401	371	56	pc	pc	NOUN
ejpam-5401	371	57	}	}	PUNCT
ejpam-5401	371	58	.	.	PUNCT
ejpam-5401	372	1	proposition	proposition	NOUN
ejpam-5401	372	2	7	7	NUM
ejpam-5401	372	3	.	.	PUNCT
ejpam-5401	373	1	let	let	VERB
ejpam-5401	373	2	(	(	PUNCT
ejpam-5401	373	3	up	up	ADP
ejpam-5401	373	4	,	,	PUNCT
ejpam-5401	373	5	τpc	τpc	NOUN
ejpam-5401	373	6	,	,	PUNCT
ejpam-5401	373	7	vψ	vψ	AUX
ejpam-5401	373	8	)	)	PUNCT
ejpam-5401	373	9	be	be	AUX
ejpam-5401	373	10	a	a	DET
ejpam-5401	373	11	pchst	pchst	ADJ
ejpam-5401	373	12	space	space	NOUN
ejpam-5401	373	13	and	and	CCONJ
ejpam-5401	373	14	(	(	PUNCT
ejpam-5401	373	15	γ	γ	X
ejpam-5401	373	16	,	,	PUNCT
ejpam-5401	373	17	c	c	NOUN
ejpam-5401	373	18	,	,	PUNCT
ejpam-5401	373	19	v	v	NOUN
ejpam-5401	373	20	ψ	ψ	NOUN
ejpam-5401	373	21	)	)	PUNCT
ejpam-5401	373	22	pc	pc	NOUN
ejpam-5401	373	23	be	be	AUX
ejpam-5401	373	24	a	a	DET
ejpam-5401	373	25	pchs	pch	NOUN
ejpam-5401	373	26	set	set	VERB
ejpam-5401	373	27	over	over	ADP
ejpam-5401	373	28	up	up	ADP
ejpam-5401	373	29	,	,	PUNCT
ejpam-5401	373	30	then	then	ADV
ejpam-5401	373	31	:	:	PUNCT
ejpam-5401	373	32	(	(	PUNCT
ejpam-5401	373	33	i	i	NOUN
ejpam-5401	373	34	)	)	PUNCT
ejpam-5401	373	35	(	(	PUNCT
ejpam-5401	373	36	γ	γ	X
ejpam-5401	373	37	,	,	PUNCT
ejpam-5401	373	38	c	c	NOUN
ejpam-5401	373	39	,	,	PUNCT
ejpam-5401	373	40	v	v	NOUN
ejpam-5401	373	41	ψ	ψ	NOUN
ejpam-5401	373	42	)	)	PUNCT
ejpam-5401	373	43	pc	pc	NOUN
ejpam-5401	373	44	is	be	AUX
ejpam-5401	373	45	the	the	DET
ejpam-5401	373	46	smallest	small	ADJ
ejpam-5401	373	47	pchs	pch	NOUN
ejpam-5401	373	48	closed	close	VERB
ejpam-5401	373	49	set	set	ADJ
ejpam-5401	373	50	containing	contain	VERB
ejpam-5401	373	51	(	(	PUNCT
ejpam-5401	373	52	γ	γ	X
ejpam-5401	373	53	,	,	PUNCT
ejpam-5401	373	54	c	c	NOUN
ejpam-5401	373	55	,	,	PUNCT
ejpam-5401	373	56	v	v	NOUN
ejpam-5401	373	57	ψ	ψ	NOUN
ejpam-5401	373	58	)	)	PUNCT
ejpam-5401	373	59	pc	pc	NOUN
ejpam-5401	373	60	.	.	PUNCT
ejpam-5401	374	1	n.	n.	PROPN
ejpam-5401	374	2	k.	k.	PROPN
ejpam-5401	374	3	ahmed	ahmed	PROPN
ejpam-5401	374	4	,	,	PUNCT
ejpam-5401	374	5	o.	o.	PROPN
ejpam-5401	374	6	t.	t.	PROPN
ejpam-5401	374	7	pirbal	pirbal	PROPN
ejpam-5401	374	8	/	/	SYM
ejpam-5401	374	9	eur	eur	PROPN
ejpam-5401	374	10	.	.	PUNCT
ejpam-5401	375	1	j.	j.	PROPN
ejpam-5401	375	2	pure	pure	PROPN
ejpam-5401	375	3	appl	appl	PROPN
ejpam-5401	375	4	.	.	PROPN
ejpam-5401	375	5	math	math	PROPN
ejpam-5401	375	6	,	,	PUNCT
ejpam-5401	375	7	17	17	NUM
ejpam-5401	375	8	(	(	PUNCT
ejpam-5401	375	9	4	4	NUM
ejpam-5401	375	10	)	)	PUNCT
ejpam-5401	375	11	(	(	PUNCT
ejpam-5401	375	12	2024	2024	NUM
ejpam-5401	375	13	)	)	PUNCT
ejpam-5401	375	14	,	,	PUNCT
ejpam-5401	375	15	3043	3043	NUM
ejpam-5401	375	16	-	-	SYM
ejpam-5401	375	17	3060	3060	NUM
ejpam-5401	375	18	3054	3054	NUM
ejpam-5401	375	19	(	(	PUNCT
ejpam-5401	375	20	ii	ii	NOUN
ejpam-5401	375	21	)	)	PUNCT
ejpam-5401	375	22	(	(	PUNCT
ejpam-5401	375	23	γ	γ	X
ejpam-5401	375	24	,	,	PUNCT
ejpam-5401	375	25	c	c	NOUN
ejpam-5401	375	26	,	,	PUNCT
ejpam-5401	375	27	v	v	NOUN
ejpam-5401	375	28	ψ	ψ	NOUN
ejpam-5401	375	29	)	)	PUNCT
ejpam-5401	375	30	pc	pc	NOUN
ejpam-5401	375	31	is	be	AUX
ejpam-5401	375	32	a	a	DET
ejpam-5401	375	33	pchs	pch	NOUN
ejpam-5401	375	34	closed	close	VERB
ejpam-5401	375	35	sets	set	NOUN
ejpam-5401	375	36	if	if	SCONJ
ejpam-5401	376	1	and	and	CCONJ
ejpam-5401	376	2	only	only	ADV
ejpam-5401	376	3	if	if	SCONJ
ejpam-5401	376	4	(	(	PUNCT
ejpam-5401	376	5	γ	γ	X
ejpam-5401	376	6	,	,	PUNCT
ejpam-5401	376	7	c	c	NOUN
ejpam-5401	376	8	,	,	PUNCT
ejpam-5401	376	9	v	v	NOUN
ejpam-5401	376	10	ψ	ψ	NOUN
ejpam-5401	376	11	)	)	PUNCT
ejpam-5401	376	12	pc	pc	NOUN
ejpam-5401	376	13	≍	≍	NOUN
ejpam-5401	376	14	=	=	SYM
ejpam-5401	376	15	(	(	PUNCT
ejpam-5401	376	16	γ	γ	X
ejpam-5401	376	17	,	,	PUNCT
ejpam-5401	376	18	c	c	NOUN
ejpam-5401	376	19	,	,	PUNCT
ejpam-5401	376	20	v	v	NOUN
ejpam-5401	376	21	ψ	ψ	NOUN
ejpam-5401	376	22	)	)	PUNCT
ejpam-5401	376	23	pc	pc	NOUN
ejpam-5401	376	24	.	.	PUNCT
ejpam-5401	377	1	proof	proof	NOUN
ejpam-5401	377	2	.	.	PUNCT
ejpam-5401	378	1	(	(	PUNCT
ejpam-5401	378	2	i	i	NOUN
ejpam-5401	378	3	)	)	PUNCT
ejpam-5401	378	4	obvious	obvious	ADJ
ejpam-5401	378	5	.	.	PUNCT
ejpam-5401	379	1	(	(	PUNCT
ejpam-5401	379	2	ii	ii	NOUN
ejpam-5401	379	3	)	)	PUNCT
ejpam-5401	379	4	let	let	VERB
ejpam-5401	379	5	(	(	PUNCT
ejpam-5401	379	6	γ	γ	X
ejpam-5401	379	7	,	,	PUNCT
ejpam-5401	379	8	c	c	NOUN
ejpam-5401	379	9	,	,	PUNCT
ejpam-5401	379	10	v	v	NOUN
ejpam-5401	379	11	ψ	ψ	NOUN
ejpam-5401	379	12	)	)	PUNCT
ejpam-5401	379	13	pc	pc	NOUN
ejpam-5401	379	14	be	be	AUX
ejpam-5401	379	15	a	a	DET
ejpam-5401	379	16	pchs	pch	NOUN
ejpam-5401	379	17	closed	close	VERB
ejpam-5401	379	18	set	set	VERB
ejpam-5401	379	19	.	.	PUNCT
ejpam-5401	380	1	so	so	ADV
ejpam-5401	380	2	,	,	PUNCT
ejpam-5401	380	3	(	(	PUNCT
ejpam-5401	380	4	γ	γ	X
ejpam-5401	380	5	,	,	PUNCT
ejpam-5401	380	6	c	c	NOUN
ejpam-5401	380	7	,	,	PUNCT
ejpam-5401	380	8	v	v	NOUN
ejpam-5401	380	9	ψ	ψ	NOUN
ejpam-5401	380	10	)	)	PUNCT
ejpam-5401	380	11	pc	pc	NOUN
ejpam-5401	380	12	itself	itself	PRON
ejpam-5401	380	13	is	be	AUX
ejpam-5401	380	14	the	the	DET
ejpam-5401	380	15	the	the	DET
ejpam-5401	380	16	smallest	small	ADJ
ejpam-5401	380	17	pchs	pch	NOUN
ejpam-5401	380	18	closed	close	VERB
ejpam-5401	380	19	set	set	VERB
ejpam-5401	380	20	over	over	ADP
ejpam-5401	380	21	up	up	ADP
ejpam-5401	380	22	containing	contain	VERB
ejpam-5401	380	23	(	(	PUNCT
ejpam-5401	380	24	γ	γ	X
ejpam-5401	380	25	,	,	PUNCT
ejpam-5401	380	26	c	c	NOUN
ejpam-5401	380	27	,	,	PUNCT
ejpam-5401	380	28	v	v	NOUN
ejpam-5401	380	29	ψ	ψ	NOUN
ejpam-5401	380	30	)	)	PUNCT
ejpam-5401	380	31	pc	pc	NOUN
ejpam-5401	380	32	,	,	PUNCT
ejpam-5401	380	33	hence	hence	ADV
ejpam-5401	380	34	,	,	PUNCT
ejpam-5401	380	35	(	(	PUNCT
ejpam-5401	380	36	γ	γ	X
ejpam-5401	380	37	,	,	PUNCT
ejpam-5401	380	38	c	c	NOUN
ejpam-5401	380	39	,	,	PUNCT
ejpam-5401	380	40	v	v	NOUN
ejpam-5401	380	41	ψ	ψ	NOUN
ejpam-5401	380	42	)	)	PUNCT
ejpam-5401	380	43	pc	pc	NOUN
ejpam-5401	380	44	≍	≍	NOUN
ejpam-5401	380	45	=	=	SYM
ejpam-5401	380	46	(	(	PUNCT
ejpam-5401	380	47	γ	γ	X
ejpam-5401	380	48	,	,	PUNCT
ejpam-5401	380	49	c	c	NOUN
ejpam-5401	380	50	,	,	PUNCT
ejpam-5401	380	51	v	v	NOUN
ejpam-5401	380	52	ψ	ψ	NOUN
ejpam-5401	380	53	)	)	PUNCT
ejpam-5401	380	54	pc	pc	NOUN
ejpam-5401	380	55	.	.	PUNCT
ejpam-5401	381	1	conversely	conversely	ADV
ejpam-5401	381	2	,	,	PUNCT
ejpam-5401	381	3	let	let	VERB
ejpam-5401	381	4	(	(	PUNCT
ejpam-5401	381	5	γ	γ	X
ejpam-5401	381	6	,	,	PUNCT
ejpam-5401	381	7	c	c	NOUN
ejpam-5401	381	8	,	,	PUNCT
ejpam-5401	381	9	v	v	NOUN
ejpam-5401	381	10	ψ	ψ	NOUN
ejpam-5401	381	11	)	)	PUNCT
ejpam-5401	381	12	pc	pc	NOUN
ejpam-5401	381	13	≍	≍	NOUN
ejpam-5401	381	14	=	=	SYM
ejpam-5401	381	15	(	(	PUNCT
ejpam-5401	381	16	γ	γ	X
ejpam-5401	381	17	,	,	PUNCT
ejpam-5401	381	18	c	c	NOUN
ejpam-5401	381	19	,	,	PUNCT
ejpam-5401	381	20	v	v	NOUN
ejpam-5401	381	21	ψ	ψ	NOUN
ejpam-5401	381	22	)	)	PUNCT
ejpam-5401	381	23	pc	pc	NOUN
ejpam-5401	381	24	,	,	PUNCT
ejpam-5401	381	25	by	by	ADP
ejpam-5401	381	26	part	part	NOUN
ejpam-5401	381	27	(	(	PUNCT
ejpam-5401	381	28	i	i	NOUN
ejpam-5401	381	29	)	)	PUNCT
ejpam-5401	381	30	,	,	PUNCT
ejpam-5401	381	31	(	(	PUNCT
ejpam-5401	381	32	γ	γ	X
ejpam-5401	381	33	,	,	PUNCT
ejpam-5401	381	34	c	c	NOUN
ejpam-5401	381	35	,	,	PUNCT
ejpam-5401	381	36	v	v	NOUN
ejpam-5401	381	37	ψ	ψ	NOUN
ejpam-5401	381	38	)	)	PUNCT
ejpam-5401	381	39	pc	pc	NOUN
ejpam-5401	381	40	is	be	AUX
ejpam-5401	381	41	a	a	DET
ejpam-5401	381	42	pchs	pch	NOUN
ejpam-5401	381	43	closed	close	VERB
ejpam-5401	381	44	set	set	VERB
ejpam-5401	381	45	,	,	PUNCT
ejpam-5401	381	46	so	so	CCONJ
ejpam-5401	381	47	(	(	PUNCT
ejpam-5401	381	48	γ	γ	X
ejpam-5401	381	49	,	,	PUNCT
ejpam-5401	381	50	c	c	NOUN
ejpam-5401	381	51	,	,	PUNCT
ejpam-5401	381	52	v	v	NOUN
ejpam-5401	381	53	ψ	ψ	NOUN
ejpam-5401	381	54	)	)	PUNCT
ejpam-5401	381	55	pc	pc	NOUN
ejpam-5401	381	56	is	be	AUX
ejpam-5401	381	57	a	a	DET
ejpam-5401	381	58	pchs	pch	NOUN
ejpam-5401	381	59	closed	close	VERB
ejpam-5401	381	60	set	set	VERB
ejpam-5401	381	61	over	over	ADP
ejpam-5401	381	62	up	up	ADV
ejpam-5401	381	63	.	.	PUNCT
ejpam-5401	382	1	proposition	proposition	NOUN
ejpam-5401	382	2	8	8	NUM
ejpam-5401	382	3	.	.	PUNCT
ejpam-5401	383	1	let	let	VERB
ejpam-5401	383	2	(	(	PUNCT
ejpam-5401	383	3	up	up	ADP
ejpam-5401	383	4	,	,	PUNCT
ejpam-5401	383	5	τpc	τpc	NOUN
ejpam-5401	383	6	,	,	PUNCT
ejpam-5401	383	7	vψ	vψ	AUX
ejpam-5401	383	8	)	)	PUNCT
ejpam-5401	383	9	be	be	AUX
ejpam-5401	383	10	a	a	DET
ejpam-5401	383	11	pchs	pchs	ADJ
ejpam-5401	383	12	topological	topological	ADJ
ejpam-5401	383	13	space	space	NOUN
ejpam-5401	383	14	and	and	CCONJ
ejpam-5401	383	15	let	let	VERB
ejpam-5401	383	16	(	(	PUNCT
ejpam-5401	383	17	γ1	γ1	PROPN
ejpam-5401	383	18	,	,	PUNCT
ejpam-5401	383	19	c1	c1	PROPN
ejpam-5401	383	20	,	,	PUNCT
ejpam-5401	383	21	v	v	NOUN
ejpam-5401	383	22	ψ	ψ	NOUN
ejpam-5401	383	23	)	)	PUNCT
ejpam-5401	383	24	pc	pc	NOUN
ejpam-5401	383	25	,	,	PUNCT
ejpam-5401	383	26	(	(	PUNCT
ejpam-5401	383	27	γ2	γ2	PROPN
ejpam-5401	383	28	,	,	PUNCT
ejpam-5401	383	29	c2	c2	PROPN
ejpam-5401	383	30	,	,	PUNCT
ejpam-5401	383	31	v	v	NOUN
ejpam-5401	383	32	ψ	ψ	NOUN
ejpam-5401	383	33	)	)	PUNCT
ejpam-5401	383	34	pc	pc	NOUN
ejpam-5401	383	35	be	be	VERB
ejpam-5401	383	36	two	two	NUM
ejpam-5401	383	37	pchs	pch	NOUN
ejpam-5401	383	38	set	set	VERB
ejpam-5401	383	39	over	over	ADP
ejpam-5401	383	40	up	up	ADP
ejpam-5401	383	41	,	,	PUNCT
ejpam-5401	383	42	then	then	ADV
ejpam-5401	383	43	:	:	PUNCT
ejpam-5401	383	44	(	(	PUNCT
ejpam-5401	383	45	i	i	NOUN
ejpam-5401	383	46	)	)	PUNCT
ejpam-5401	383	47	(	(	PUNCT
ejpam-5401	383	48	φ	φ	PROPN
ejpam-5401	383	49	,	,	PUNCT
ejpam-5401	383	50	c	c	NOUN
ejpam-5401	383	51	,	,	PUNCT
ejpam-5401	383	52	v	v	NOUN
ejpam-5401	383	53	ψ	ψ	NOUN
ejpam-5401	383	54	)	)	PUNCT
ejpam-5401	383	55	pc	pc	NOUN
ejpam-5401	383	56	≍	≍	NOUN
ejpam-5401	383	57	=	=	SYM
ejpam-5401	383	58	(	(	PUNCT
ejpam-5401	383	59	φ	φ	PROPN
ejpam-5401	383	60	,	,	PUNCT
ejpam-5401	383	61	c	c	NOUN
ejpam-5401	383	62	,	,	PUNCT
ejpam-5401	383	63	v	v	NOUN
ejpam-5401	383	64	ψ	ψ	NOUN
ejpam-5401	383	65	)	)	PUNCT
ejpam-5401	383	66	pc	pc	NOUN
ejpam-5401	383	67	and(ψ	and(ψ	NOUN
ejpam-5401	383	68	,	,	PUNCT
ejpam-5401	383	69	c	c	X
ejpam-5401	383	70	,	,	PUNCT
ejpam-5401	383	71	v	v	NOUN
ejpam-5401	383	72	ψ	ψ	NOUN
ejpam-5401	383	73	)	)	PUNCT
ejpam-5401	383	74	pc	pc	NOUN
ejpam-5401	383	75	≍	≍	NOUN
ejpam-5401	383	76	=	=	SYM
ejpam-5401	383	77	(	(	PUNCT
ejpam-5401	383	78	ψ	ψ	X
ejpam-5401	383	79	,	,	PUNCT
ejpam-5401	383	80	c	c	NOUN
ejpam-5401	383	81	,	,	PUNCT
ejpam-5401	383	82	v	v	NOUN
ejpam-5401	383	83	ψ	ψ	NOUN
ejpam-5401	383	84	)	)	PUNCT
ejpam-5401	383	85	pc	pc	NOUN
ejpam-5401	383	86	.	.	PUNCT
ejpam-5401	384	1	(	(	PUNCT
ejpam-5401	384	2	ii	ii	NOUN
ejpam-5401	384	3	)	)	PUNCT
ejpam-5401	384	4	(	(	PUNCT
ejpam-5401	384	5	γ1	γ1	PROPN
ejpam-5401	384	6	,	,	PUNCT
ejpam-5401	384	7	c1	c1	PROPN
ejpam-5401	384	8	,	,	PUNCT
ejpam-5401	384	9	v	v	NOUN
ejpam-5401	384	10	ψ	ψ	NOUN
ejpam-5401	384	11	)	)	PUNCT
ejpam-5401	384	12	pc	pc	NOUN
ejpam-5401	384	13	≍	≍	PROPN
ejpam-5401	384	14	⊑	⊑	X
ejpam-5401	384	15	(	(	PUNCT
ejpam-5401	384	16	γ1	γ1	PROPN
ejpam-5401	384	17	,	,	PUNCT
ejpam-5401	384	18	c1	c1	PROPN
ejpam-5401	384	19	,	,	PUNCT
ejpam-5401	384	20	v	v	NOUN
ejpam-5401	384	21	ψ	ψ	NOUN
ejpam-5401	384	22	)	)	PUNCT
ejpam-5401	384	23	pc	pc	NOUN
ejpam-5401	384	24	.	.	PUNCT
ejpam-5401	385	1	(	(	PUNCT
ejpam-5401	385	2	iii	iii	NOUN
ejpam-5401	385	3	)	)	PUNCT
ejpam-5401	385	4	(	(	PUNCT
ejpam-5401	385	5	γ1	γ1	PROPN
ejpam-5401	385	6	,	,	PUNCT
ejpam-5401	385	7	c1	c1	PROPN
ejpam-5401	385	8	,	,	PUNCT
ejpam-5401	385	9	v	v	NOUN
ejpam-5401	385	10	ψ	ψ	NOUN
ejpam-5401	385	11	)	)	PUNCT
ejpam-5401	385	12	pc	pc	NOUN
ejpam-5401	385	13	≍	≍	PROPN
ejpam-5401	385	14	⊑	⊑	X
ejpam-5401	385	15	(	(	PUNCT
ejpam-5401	385	16	γ2	γ2	PROPN
ejpam-5401	385	17	,	,	PUNCT
ejpam-5401	385	18	c2	c2	PROPN
ejpam-5401	385	19	,	,	PUNCT
ejpam-5401	385	20	v	v	NOUN
ejpam-5401	385	21	ψ	ψ	NOUN
ejpam-5401	385	22	)	)	PUNCT
ejpam-5401	385	23	pc	pc	NOUN
ejpam-5401	385	24	implies	imply	VERB
ejpam-5401	385	25	(	(	PUNCT
ejpam-5401	385	26	γ1	γ1	PROPN
ejpam-5401	385	27	,	,	PUNCT
ejpam-5401	385	28	c1	c1	PROPN
ejpam-5401	385	29	,	,	PUNCT
ejpam-5401	385	30	v	v	NOUN
ejpam-5401	385	31	ψ	ψ	NOUN
ejpam-5401	385	32	)	)	PUNCT
ejpam-5401	385	33	pc	pc	NOUN
ejpam-5401	385	34	≍	≍	PROPN
ejpam-5401	385	35	⊑	⊑	X
ejpam-5401	385	36	(	(	PUNCT
ejpam-5401	385	37	γ2	γ2	PROPN
ejpam-5401	385	38	,	,	PUNCT
ejpam-5401	385	39	c2	c2	PROPN
ejpam-5401	385	40	,	,	PUNCT
ejpam-5401	385	41	v	v	NOUN
ejpam-5401	385	42	ψ	ψ	NOUN
ejpam-5401	385	43	)	)	PUNCT
ejpam-5401	385	44	pc	pc	NOUN
ejpam-5401	385	45	.	.	PUNCT
ejpam-5401	386	1	(	(	PUNCT
ejpam-5401	386	2	iv	iv	X
ejpam-5401	386	3	)	)	PUNCT
ejpam-5401	386	4	(	(	PUNCT
ejpam-5401	386	5	γ1	γ1	PROPN
ejpam-5401	386	6	,	,	PUNCT
ejpam-5401	386	7	c1	c1	PROPN
ejpam-5401	386	8	,	,	PUNCT
ejpam-5401	386	9	v	v	NOUN
ejpam-5401	386	10	ψ	ψ	NOUN
ejpam-5401	386	11	)	)	PUNCT
ejpam-5401	386	12	pc	pc	NOUN
ejpam-5401	386	13	≍	≍	PROPN
ejpam-5401	386	14	⊔	⊔	PROPN
ejpam-5401	386	15	(	(	PUNCT
ejpam-5401	386	16	γ2	γ2	PROPN
ejpam-5401	386	17	,	,	PUNCT
ejpam-5401	386	18	c2	c2	PROPN
ejpam-5401	386	19	,	,	PUNCT
ejpam-5401	386	20	v	v	NOUN
ejpam-5401	386	21	ψ	ψ	NOUN
ejpam-5401	386	22	)	)	PUNCT
ejpam-5401	386	23	pc	pc	NOUN
ejpam-5401	386	24	≍	≍	NOUN
ejpam-5401	386	25	=	=	SYM
ejpam-5401	386	26	(	(	PUNCT
ejpam-5401	386	27	γ1	γ1	PROPN
ejpam-5401	386	28	,	,	PUNCT
ejpam-5401	386	29	c1	c1	PROPN
ejpam-5401	386	30	,	,	PUNCT
ejpam-5401	386	31	v	v	NOUN
ejpam-5401	386	32	ψ	ψ	NOUN
ejpam-5401	386	33	)	)	PUNCT
ejpam-5401	386	34	pc	pc	NOUN
ejpam-5401	386	35	≍	≍	PROPN
ejpam-5401	386	36	⊔	⊔	PROPN
ejpam-5401	386	37	(	(	PUNCT
ejpam-5401	386	38	γ2	γ2	PROPN
ejpam-5401	386	39	,	,	PUNCT
ejpam-5401	386	40	c2	c2	PROPN
ejpam-5401	386	41	,	,	PUNCT
ejpam-5401	386	42	v	v	NOUN
ejpam-5401	386	43	ψ	ψ	NOUN
ejpam-5401	386	44	)	)	PUNCT
ejpam-5401	386	45	pc	pc	NOUN
ejpam-5401	386	46	.	.	PUNCT
ejpam-5401	387	1	(	(	PUNCT
ejpam-5401	387	2	v	v	NOUN
ejpam-5401	387	3	)	)	PUNCT
ejpam-5401	387	4	(	(	PUNCT
ejpam-5401	387	5	γ1	γ1	PROPN
ejpam-5401	387	6	,	,	PUNCT
ejpam-5401	387	7	c1	c1	PROPN
ejpam-5401	387	8	,	,	PUNCT
ejpam-5401	387	9	v	v	NOUN
ejpam-5401	387	10	ψ	ψ	NOUN
ejpam-5401	387	11	)	)	PUNCT
ejpam-5401	387	12	pc	pc	NOUN
ejpam-5401	387	13	≍	≍	VERB
ejpam-5401	387	14	⊓	⊓	PROPN
ejpam-5401	387	15	(	(	PUNCT
ejpam-5401	387	16	γ2	γ2	PROPN
ejpam-5401	387	17	,	,	PUNCT
ejpam-5401	387	18	c2	c2	PROPN
ejpam-5401	387	19	,	,	PUNCT
ejpam-5401	387	20	v	v	NOUN
ejpam-5401	387	21	ψ	ψ	NOUN
ejpam-5401	387	22	)	)	PUNCT
ejpam-5401	387	23	pc	pc	NOUN
ejpam-5401	387	24	≍	≍	PROPN
ejpam-5401	387	25	⊑	⊑	X
ejpam-5401	387	26	(	(	PUNCT
ejpam-5401	387	27	γ1	γ1	PROPN
ejpam-5401	387	28	,	,	PUNCT
ejpam-5401	387	29	c1	c1	PROPN
ejpam-5401	387	30	,	,	PUNCT
ejpam-5401	387	31	v	v	NOUN
ejpam-5401	387	32	ψ	ψ	NOUN
ejpam-5401	387	33	)	)	PUNCT
ejpam-5401	387	34	pc	pc	NOUN
ejpam-5401	387	35	≍	≍	VERB
ejpam-5401	387	36	⊓	⊓	PROPN
ejpam-5401	387	37	(	(	PUNCT
ejpam-5401	387	38	γ2	γ2	PROPN
ejpam-5401	387	39	,	,	PUNCT
ejpam-5401	387	40	c2	c2	PROPN
ejpam-5401	387	41	,	,	PUNCT
ejpam-5401	387	42	v	v	NOUN
ejpam-5401	387	43	ψ	ψ	NOUN
ejpam-5401	387	44	)	)	PUNCT
ejpam-5401	387	45	pc	pc	NOUN
ejpam-5401	387	46	.	.	PUNCT
ejpam-5401	388	1	(	(	PUNCT
ejpam-5401	388	2	vi	vi	NOUN
ejpam-5401	388	3	)	)	PUNCT
ejpam-5401	388	4	(	(	PUNCT
ejpam-5401	388	5	γ1	γ1	PROPN
ejpam-5401	388	6	,	,	PUNCT
ejpam-5401	388	7	c1	c1	PROPN
ejpam-5401	388	8	,	,	PUNCT
ejpam-5401	388	9	v	v	NOUN
ejpam-5401	388	10	ψ	ψ	NOUN
ejpam-5401	388	11	)	)	PUNCT
ejpam-5401	388	12	pc	pc	NOUN
ejpam-5401	388	13	≍	≍	NOUN
ejpam-5401	388	14	=	=	SYM
ejpam-5401	388	15	(	(	PUNCT
ejpam-5401	388	16	γ1	γ1	PROPN
ejpam-5401	388	17	,	,	PUNCT
ejpam-5401	388	18	c1	c1	PROPN
ejpam-5401	388	19	,	,	PUNCT
ejpam-5401	388	20	v	v	NOUN
ejpam-5401	388	21	ψ	ψ	NOUN
ejpam-5401	388	22	)	)	PUNCT
ejpam-5401	388	23	pc	pc	NOUN
ejpam-5401	388	24	.	.	PUNCT
ejpam-5401	389	1	proof	proof	NOUN
ejpam-5401	389	2	.	.	PUNCT
ejpam-5401	390	1	(	(	PUNCT
ejpam-5401	390	2	i	i	NOUN
ejpam-5401	390	3	)	)	PUNCT
ejpam-5401	390	4	obvious	obvious	ADJ
ejpam-5401	390	5	.	.	PUNCT
ejpam-5401	391	1	(	(	PUNCT
ejpam-5401	391	2	ii	ii	NOUN
ejpam-5401	391	3	)	)	PUNCT
ejpam-5401	391	4	by	by	ADP
ejpam-5401	391	5	proposition	proposition	NOUN
ejpam-5401	391	6	7(i	7(i	NUM
ejpam-5401	391	7	)	)	PUNCT
ejpam-5401	391	8	,	,	PUNCT
ejpam-5401	391	9	(	(	PUNCT
ejpam-5401	391	10	γ1	γ1	PROPN
ejpam-5401	391	11	,	,	PUNCT
ejpam-5401	391	12	c1	c1	PROPN
ejpam-5401	391	13	,	,	PUNCT
ejpam-5401	391	14	v	v	NOUN
ejpam-5401	391	15	ψ	ψ	NOUN
ejpam-5401	391	16	)	)	PUNCT
ejpam-5401	391	17	pc	pc	NOUN
ejpam-5401	391	18	is	be	AUX
ejpam-5401	391	19	the	the	DET
ejpam-5401	391	20	smallest	small	ADJ
ejpam-5401	391	21	pchs	pch	NOUN
ejpam-5401	391	22	closed	close	VERB
ejpam-5401	391	23	set	set	ADJ
ejpam-5401	391	24	containing	contain	VERB
ejpam-5401	391	25	(	(	PUNCT
ejpam-5401	391	26	γ1	γ1	PROPN
ejpam-5401	391	27	,	,	PUNCT
ejpam-5401	391	28	c1	c1	PROPN
ejpam-5401	391	29	,	,	PUNCT
ejpam-5401	391	30	v	v	NOUN
ejpam-5401	391	31	ψ	ψ	NOUN
ejpam-5401	391	32	)	)	PUNCT
ejpam-5401	391	33	pc	pc	NOUN
ejpam-5401	391	34	,	,	PUNCT
ejpam-5401	391	35	so	so	CCONJ
ejpam-5401	391	36	it	it	PRON
ejpam-5401	391	37	follows	follow	VERB
ejpam-5401	391	38	(	(	PUNCT
ejpam-5401	391	39	γ1	γ1	PROPN
ejpam-5401	391	40	,	,	PUNCT
ejpam-5401	391	41	c1	c1	PROPN
ejpam-5401	391	42	,	,	PUNCT
ejpam-5401	392	1	v	v	NOUN
ejpam-5401	392	2	ψ	ψ	NOUN
ejpam-5401	392	3	)	)	PUNCT
ejpam-5401	392	4	pc	pc	NOUN
ejpam-5401	392	5	≍	≍	PROPN
ejpam-5401	392	6	⊑	⊑	X
ejpam-5401	392	7	(	(	PUNCT
ejpam-5401	392	8	γ1	γ1	PROPN
ejpam-5401	392	9	,	,	PUNCT
ejpam-5401	392	10	c1	c1	PROPN
ejpam-5401	392	11	,	,	PUNCT
ejpam-5401	392	12	v	v	NOUN
ejpam-5401	392	13	ψ	ψ	NOUN
ejpam-5401	392	14	)	)	PUNCT
ejpam-5401	392	15	pc	pc	NOUN
ejpam-5401	392	16	.	.	PUNCT
ejpam-5401	393	1	(	(	PUNCT
ejpam-5401	393	2	iii	iii	NOUN
ejpam-5401	393	3	)	)	PUNCT
ejpam-5401	393	4	by	by	ADP
ejpam-5401	393	5	part	part	NOUN
ejpam-5401	393	6	(	(	PUNCT
ejpam-5401	393	7	ii	ii	NOUN
ejpam-5401	393	8	)	)	PUNCT
ejpam-5401	393	9	,	,	PUNCT
ejpam-5401	393	10	(	(	PUNCT
ejpam-5401	393	11	γ2	γ2	PROPN
ejpam-5401	393	12	,	,	PUNCT
ejpam-5401	393	13	c2	c2	PROPN
ejpam-5401	393	14	,	,	PUNCT
ejpam-5401	393	15	v	v	NOUN
ejpam-5401	393	16	ψ	ψ	NOUN
ejpam-5401	393	17	)	)	PUNCT
ejpam-5401	393	18	pc	pc	NOUN
ejpam-5401	393	19	≍	≍	PROPN
ejpam-5401	393	20	⊑	⊑	X
ejpam-5401	393	21	(	(	PUNCT
ejpam-5401	393	22	γ2	γ2	PROPN
ejpam-5401	393	23	,	,	PUNCT
ejpam-5401	393	24	c2	c2	PROPN
ejpam-5401	393	25	,	,	PUNCT
ejpam-5401	393	26	v	v	NOUN
ejpam-5401	393	27	ψ	ψ	NOUN
ejpam-5401	393	28	)	)	PUNCT
ejpam-5401	393	29	pc	pc	NOUN
ejpam-5401	393	30	.	.	PUNCT
ejpam-5401	394	1	since	since	SCONJ
ejpam-5401	394	2	(	(	PUNCT
ejpam-5401	394	3	γ1	γ1	PROPN
ejpam-5401	394	4	,	,	PUNCT
ejpam-5401	394	5	c2	c2	PROPN
ejpam-5401	394	6	,	,	PUNCT
ejpam-5401	394	7	v	v	NOUN
ejpam-5401	394	8	ψ	ψ	NOUN
ejpam-5401	394	9	)	)	PUNCT
ejpam-5401	394	10	pc	pc	NOUN
ejpam-5401	394	11	≍	≍	PROPN
ejpam-5401	394	12	⊑	⊑	X
ejpam-5401	394	13	(	(	PUNCT
ejpam-5401	394	14	γ2	γ2	PROPN
ejpam-5401	394	15	,	,	PUNCT
ejpam-5401	394	16	c2	c2	PROPN
ejpam-5401	394	17	,	,	PUNCT
ejpam-5401	394	18	v	v	NOUN
ejpam-5401	394	19	ψ	ψ	NOUN
ejpam-5401	394	20	)	)	PUNCT
ejpam-5401	394	21	pc	pc	NOUN
ejpam-5401	394	22	,	,	PUNCT
ejpam-5401	394	23	we	we	PRON
ejpam-5401	394	24	have	have	VERB
ejpam-5401	394	25	(	(	PUNCT
ejpam-5401	394	26	γ1	γ1	PROPN
ejpam-5401	394	27	,	,	PUNCT
ejpam-5401	394	28	c1	c1	PROPN
ejpam-5401	394	29	,	,	PUNCT
ejpam-5401	395	1	v	v	NOUN
ejpam-5401	395	2	ψ	ψ	NOUN
ejpam-5401	395	3	)	)	PUNCT
ejpam-5401	395	4	pc	pc	NOUN
ejpam-5401	395	5	≍	≍	PROPN
ejpam-5401	395	6	⊑	⊑	X
ejpam-5401	395	7	(	(	PUNCT
ejpam-5401	395	8	γ2	γ2	PROPN
ejpam-5401	395	9	,	,	PUNCT
ejpam-5401	395	10	c2	c2	PROPN
ejpam-5401	395	11	,	,	PUNCT
ejpam-5401	395	12	v	v	NOUN
ejpam-5401	395	13	ψ	ψ	NOUN
ejpam-5401	395	14	)	)	PUNCT
ejpam-5401	395	15	pc	pc	NOUN
ejpam-5401	395	16	,	,	PUNCT
ejpam-5401	395	17	but	but	CCONJ
ejpam-5401	395	18	(	(	PUNCT
ejpam-5401	395	19	γ2	γ2	PROPN
ejpam-5401	395	20	,	,	PUNCT
ejpam-5401	395	21	c2	c2	PROPN
ejpam-5401	395	22	,	,	PUNCT
ejpam-5401	395	23	v	v	NOUN
ejpam-5401	395	24	ψ	ψ	NOUN
ejpam-5401	395	25	)	)	PUNCT
ejpam-5401	395	26	pc	pc	NOUN
ejpam-5401	395	27	is	be	AUX
ejpam-5401	395	28	a	a	DET
ejpam-5401	395	29	pchs	pch	NOUN
ejpam-5401	395	30	closed	close	VERB
ejpam-5401	395	31	set	set	ADJ
ejpam-5401	395	32	containing	contain	VERB
ejpam-5401	395	33	(	(	PUNCT
ejpam-5401	395	34	γ1	γ1	PROPN
ejpam-5401	395	35	,	,	PUNCT
ejpam-5401	395	36	c1	c1	PROPN
ejpam-5401	395	37	,	,	PUNCT
ejpam-5401	395	38	v	v	NOUN
ejpam-5401	395	39	ψ	ψ	NOUN
ejpam-5401	395	40	)	)	PUNCT
ejpam-5401	395	41	pc	pc	NOUN
ejpam-5401	395	42	and	and	CCONJ
ejpam-5401	395	43	since	since	SCONJ
ejpam-5401	395	44	(	(	PUNCT
ejpam-5401	395	45	γ1	γ1	PROPN
ejpam-5401	395	46	,	,	PUNCT
ejpam-5401	395	47	c1	c1	PROPN
ejpam-5401	395	48	,	,	PUNCT
ejpam-5401	395	49	v	v	NOUN
ejpam-5401	395	50	ψ	ψ	NOUN
ejpam-5401	395	51	)	)	PUNCT
ejpam-5401	395	52	pc	pc	NOUN
ejpam-5401	395	53	is	be	AUX
ejpam-5401	395	54	the	the	DET
ejpam-5401	395	55	smallest	small	ADJ
ejpam-5401	395	56	pchs	pch	NOUN
ejpam-5401	395	57	closed	close	VERB
ejpam-5401	395	58	set	set	VERB
ejpam-5401	395	59	over	over	ADP
ejpam-5401	395	60	up	up	ADP
ejpam-5401	395	61	containing	contain	VERB
ejpam-5401	395	62	(	(	PUNCT
ejpam-5401	395	63	γ1	γ1	PROPN
ejpam-5401	395	64	,	,	PUNCT
ejpam-5401	395	65	c	c	X
ejpam-5401	395	66	,	,	PUNCT
ejpam-5401	395	67	v	v	NOUN
ejpam-5401	395	68	ψ	ψ	NOUN
ejpam-5401	395	69	)	)	PUNCT
ejpam-5401	395	70	pc	pc	NOUN
ejpam-5401	395	71	,	,	PUNCT
ejpam-5401	395	72	so	so	CCONJ
ejpam-5401	395	73	it	it	PRON
ejpam-5401	395	74	follows	follow	VERB
ejpam-5401	395	75	that	that	SCONJ
ejpam-5401	395	76	(	(	PUNCT
ejpam-5401	395	77	γ1	γ1	PROPN
ejpam-5401	395	78	,	,	PUNCT
ejpam-5401	395	79	c1	c1	PROPN
ejpam-5401	395	80	,	,	PUNCT
ejpam-5401	395	81	v	v	NOUN
ejpam-5401	395	82	ψ	ψ	NOUN
ejpam-5401	395	83	)	)	PUNCT
ejpam-5401	395	84	pc	pc	NOUN
ejpam-5401	395	85	≍	≍	PROPN
ejpam-5401	395	86	⊔	⊔	PROPN
ejpam-5401	395	87	(	(	PUNCT
ejpam-5401	395	88	γ2	γ2	PROPN
ejpam-5401	395	89	,	,	PUNCT
ejpam-5401	395	90	c2	c2	PROPN
ejpam-5401	395	91	,	,	PUNCT
ejpam-5401	395	92	v	v	NOUN
ejpam-5401	395	93	ψ	ψ	NOUN
ejpam-5401	395	94	)	)	PUNCT
ejpam-5401	395	95	pc	pc	NOUN
ejpam-5401	395	96	.	.	PUNCT
ejpam-5401	396	1	n.	n.	PROPN
ejpam-5401	396	2	k.	k.	PROPN
ejpam-5401	396	3	ahmed	ahmed	PROPN
ejpam-5401	396	4	,	,	PUNCT
ejpam-5401	396	5	o.	o.	PROPN
ejpam-5401	396	6	t.	t.	PROPN
ejpam-5401	396	7	pirbal	pirbal	PROPN
ejpam-5401	396	8	/	/	SYM
ejpam-5401	396	9	eur	eur	PROPN
ejpam-5401	396	10	.	.	PUNCT
ejpam-5401	397	1	j.	j.	PROPN
ejpam-5401	397	2	pure	pure	PROPN
ejpam-5401	397	3	appl	appl	PROPN
ejpam-5401	397	4	.	.	PROPN
ejpam-5401	397	5	math	math	PROPN
ejpam-5401	397	6	,	,	PUNCT
ejpam-5401	397	7	17	17	NUM
ejpam-5401	397	8	(	(	PUNCT
ejpam-5401	397	9	4	4	NUM
ejpam-5401	397	10	)	)	PUNCT
ejpam-5401	397	11	(	(	PUNCT
ejpam-5401	397	12	2024	2024	NUM
ejpam-5401	397	13	)	)	PUNCT
ejpam-5401	397	14	,	,	PUNCT
ejpam-5401	397	15	3043	3043	NUM
ejpam-5401	397	16	-	-	SYM
ejpam-5401	397	17	3060	3060	NUM
ejpam-5401	397	18	3055	3055	NUM
ejpam-5401	397	19	(	(	PUNCT
ejpam-5401	397	20	iv	iv	X
ejpam-5401	397	21	)	)	PUNCT
ejpam-5401	397	22	since	since	SCONJ
ejpam-5401	397	23	(	(	PUNCT
ejpam-5401	397	24	γ1	γ1	PROPN
ejpam-5401	397	25	,	,	PUNCT
ejpam-5401	397	26	c1	c1	PROPN
ejpam-5401	397	27	,	,	PUNCT
ejpam-5401	397	28	v	v	NOUN
ejpam-5401	397	29	ψ	ψ	NOUN
ejpam-5401	397	30	)	)	PUNCT
ejpam-5401	397	31	pc	pc	NOUN
ejpam-5401	397	32	≍	≍	PROPN
ejpam-5401	397	33	⊑	⊑	X
ejpam-5401	397	34	(	(	PUNCT
ejpam-5401	397	35	γ1	γ1	PROPN
ejpam-5401	397	36	,	,	PUNCT
ejpam-5401	397	37	c1	c1	PROPN
ejpam-5401	397	38	,	,	PUNCT
ejpam-5401	397	39	v	v	NOUN
ejpam-5401	397	40	ψ	ψ	NOUN
ejpam-5401	397	41	)	)	PUNCT
ejpam-5401	397	42	pc	pc	NOUN
ejpam-5401	397	43	≍	≍	PROPN
ejpam-5401	397	44	⊔	⊔	PROPN
ejpam-5401	397	45	(	(	PUNCT
ejpam-5401	397	46	γ2	γ2	PROPN
ejpam-5401	397	47	,	,	PUNCT
ejpam-5401	397	48	c2	c2	PROPN
ejpam-5401	397	49	,	,	PUNCT
ejpam-5401	397	50	v	v	NOUN
ejpam-5401	397	51	ψ	ψ	NOUN
ejpam-5401	397	52	)	)	PUNCT
ejpam-5401	397	53	pc	pc	NOUN
ejpam-5401	398	1	and	and	CCONJ
ejpam-5401	398	2	(	(	PUNCT
ejpam-5401	398	3	γ2	γ2	PROPN
ejpam-5401	398	4	,	,	PUNCT
ejpam-5401	398	5	c2	c2	PROPN
ejpam-5401	398	6	,	,	PUNCT
ejpam-5401	398	7	v	v	NOUN
ejpam-5401	398	8	ψ	ψ	NOUN
ejpam-5401	398	9	)	)	PUNCT
ejpam-5401	398	10	pc	pc	NOUN
ejpam-5401	398	11	≍	≍	PROPN
ejpam-5401	398	12	⊑	⊑	PROPN
ejpam-5401	398	13	(	(	PUNCT
ejpam-5401	398	14	γ1	γ1	PROPN
ejpam-5401	398	15	,	,	PUNCT
ejpam-5401	398	16	c1	c1	PROPN
ejpam-5401	398	17	,	,	PUNCT
ejpam-5401	398	18	v	v	NOUN
ejpam-5401	398	19	ψ	ψ	NOUN
ejpam-5401	398	20	)	)	PUNCT
ejpam-5401	398	21	pc	pc	NOUN
ejpam-5401	398	22	≍	≍	PROPN
ejpam-5401	398	23	⊔	⊔	PROPN
ejpam-5401	398	24	(	(	PUNCT
ejpam-5401	398	25	γ2	γ2	PROPN
ejpam-5401	398	26	,	,	PUNCT
ejpam-5401	398	27	c2	c2	PROPN
ejpam-5401	398	28	,	,	PUNCT
ejpam-5401	398	29	v	v	NOUN
ejpam-5401	398	30	ψ	ψ	NOUN
ejpam-5401	398	31	)	)	PUNCT
ejpam-5401	398	32	pc	pc	NOUN
ejpam-5401	398	33	,	,	PUNCT
ejpam-5401	399	1	by	by	ADP
ejpam-5401	399	2	part	part	NOUN
ejpam-5401	399	3	(	(	PUNCT
ejpam-5401	399	4	iii	iii	NOUN
ejpam-5401	399	5	)	)	PUNCT
ejpam-5401	399	6	,	,	PUNCT
ejpam-5401	399	7	we	we	PRON
ejpam-5401	399	8	have	have	VERB
ejpam-5401	399	9	(	(	PUNCT
ejpam-5401	399	10	γ1	γ1	PROPN
ejpam-5401	399	11	,	,	PUNCT
ejpam-5401	399	12	c1	c1	PROPN
ejpam-5401	399	13	,	,	PUNCT
ejpam-5401	400	1	v	v	NOUN
ejpam-5401	400	2	ψ	ψ	NOUN
ejpam-5401	400	3	)	)	PUNCT
ejpam-5401	400	4	pc	pc	NOUN
ejpam-5401	400	5	≍	≍	PROPN
ejpam-5401	400	6	⊑	⊑	X
ejpam-5401	400	7	(	(	PUNCT
ejpam-5401	400	8	γ1	γ1	PROPN
ejpam-5401	400	9	,	,	PUNCT
ejpam-5401	400	10	c1	c1	PROPN
ejpam-5401	400	11	,	,	PUNCT
ejpam-5401	400	12	v	v	NOUN
ejpam-5401	400	13	ψ	ψ	NOUN
ejpam-5401	400	14	)	)	PUNCT
ejpam-5401	400	15	pc	pc	NOUN
ejpam-5401	400	16	≍	≍	PROPN
ejpam-5401	401	1	⊔	⊔	PROPN
ejpam-5401	401	2	(	(	PUNCT
ejpam-5401	401	3	γ2	γ2	PROPN
ejpam-5401	401	4	,	,	PUNCT
ejpam-5401	401	5	c1	c1	PROPN
ejpam-5401	401	6	,	,	PUNCT
ejpam-5401	401	7	v	v	NOUN
ejpam-5401	401	8	ψ	ψ	NOUN
ejpam-5401	401	9	)	)	PUNCT
ejpam-5401	401	10	pc	pc	NOUN
ejpam-5401	401	11	and	and	CCONJ
ejpam-5401	401	12	(	(	PUNCT
ejpam-5401	401	13	γ2	γ2	PROPN
ejpam-5401	401	14	,	,	PUNCT
ejpam-5401	401	15	c2	c2	PROPN
ejpam-5401	401	16	,	,	PUNCT
ejpam-5401	401	17	v	v	NOUN
ejpam-5401	401	18	ψ	ψ	NOUN
ejpam-5401	401	19	)	)	PUNCT
ejpam-5401	401	20	pc	pc	NOUN
ejpam-5401	401	21	≍	≍	PROPN
ejpam-5401	401	22	⊑	⊑	X
ejpam-5401	401	23	(	(	PUNCT
ejpam-5401	401	24	γ1	γ1	PROPN
ejpam-5401	401	25	,	,	PUNCT
ejpam-5401	401	26	c1	c1	PROPN
ejpam-5401	401	27	,	,	PUNCT
ejpam-5401	401	28	v	v	NOUN
ejpam-5401	401	29	ψ	ψ	NOUN
ejpam-5401	401	30	)	)	PUNCT
ejpam-5401	401	31	pc	pc	NOUN
ejpam-5401	401	32	≍	≍	PROPN
ejpam-5401	401	33	⊔	⊔	PROPN
ejpam-5401	401	34	(	(	PUNCT
ejpam-5401	401	35	γ2	γ2	PROPN
ejpam-5401	401	36	,	,	PUNCT
ejpam-5401	401	37	c2	c2	PROPN
ejpam-5401	401	38	,	,	PUNCT
ejpam-5401	401	39	v	v	NOUN
ejpam-5401	401	40	ψ	ψ	NOUN
ejpam-5401	401	41	)	)	PUNCT
ejpam-5401	401	42	pc	pc	NOUN
ejpam-5401	401	43	.	.	PUNCT
ejpam-5401	402	1	hence	hence	ADV
ejpam-5401	402	2	,	,	PUNCT
ejpam-5401	402	3	(	(	PUNCT
ejpam-5401	402	4	γ1	γ1	PROPN
ejpam-5401	402	5	,	,	PUNCT
ejpam-5401	402	6	c1	c1	PROPN
ejpam-5401	402	7	,	,	PUNCT
ejpam-5401	402	8	v	v	NOUN
ejpam-5401	402	9	ψ	ψ	NOUN
ejpam-5401	402	10	)	)	PUNCT
ejpam-5401	402	11	pc	pc	NOUN
ejpam-5401	402	12	≍	≍	PROPN
ejpam-5401	402	13	⊔	⊔	PROPN
ejpam-5401	402	14	(	(	PUNCT
ejpam-5401	402	15	γ2	γ2	PROPN
ejpam-5401	402	16	,	,	PUNCT
ejpam-5401	402	17	c2	c2	PROPN
ejpam-5401	402	18	,	,	PUNCT
ejpam-5401	402	19	v	v	NOUN
ejpam-5401	402	20	ψ	ψ	NOUN
ejpam-5401	402	21	)	)	PUNCT
ejpam-5401	402	22	pc	pc	NOUN
ejpam-5401	402	23	.	.	PUNCT
ejpam-5401	403	1	≍	≍	PROPN
ejpam-5401	403	2	⊑	⊑	PRON
ejpam-5401	403	3	(	(	PUNCT
ejpam-5401	403	4	γ1	γ1	PROPN
ejpam-5401	403	5	,	,	PUNCT
ejpam-5401	403	6	c1	c1	PROPN
ejpam-5401	403	7	,	,	PUNCT
ejpam-5401	403	8	v	v	NOUN
ejpam-5401	403	9	ψ	ψ	NOUN
ejpam-5401	403	10	)	)	PUNCT
ejpam-5401	403	11	pc	pc	NOUN
ejpam-5401	403	12	≍	≍	PROPN
ejpam-5401	403	13	⊔	⊔	PROPN
ejpam-5401	403	14	(	(	PUNCT
ejpam-5401	403	15	γ2	γ2	PROPN
ejpam-5401	403	16	,	,	PUNCT
ejpam-5401	403	17	c2	c2	PROPN
ejpam-5401	403	18	,	,	PUNCT
ejpam-5401	403	19	v	v	NOUN
ejpam-5401	403	20	ψ	ψ	NOUN
ejpam-5401	403	21	)	)	PUNCT
ejpam-5401	403	22	pc	pc	NOUN
ejpam-5401	403	23	.	.	PUNCT
ejpam-5401	404	1	now	now	ADV
ejpam-5401	404	2	,	,	PUNCT
ejpam-5401	404	3	since	since	SCONJ
ejpam-5401	404	4	(	(	PUNCT
ejpam-5401	404	5	γ1	γ1	PROPN
ejpam-5401	404	6	,	,	PUNCT
ejpam-5401	404	7	c1	c1	PROPN
ejpam-5401	404	8	,	,	PUNCT
ejpam-5401	404	9	v	v	NOUN
ejpam-5401	404	10	ψ	ψ	NOUN
ejpam-5401	404	11	)	)	PUNCT
ejpam-5401	404	12	pc	pc	NOUN
ejpam-5401	404	13	and	and	CCONJ
ejpam-5401	404	14	(	(	PUNCT
ejpam-5401	404	15	γ2	γ2	PROPN
ejpam-5401	404	16	,	,	PUNCT
ejpam-5401	404	17	c2	c2	PROPN
ejpam-5401	404	18	,	,	PUNCT
ejpam-5401	404	19	v	v	NOUN
ejpam-5401	404	20	ψ	ψ	NOUN
ejpam-5401	404	21	)	)	PUNCT
ejpam-5401	404	22	pc	pc	NOUN
ejpam-5401	404	23	are	be	AUX
ejpam-5401	404	24	pchs	pch	NOUN
ejpam-5401	404	25	closed	closed	ADJ
ejpam-5401	404	26	sets	set	NOUN
ejpam-5401	404	27	over	over	ADP
ejpam-5401	404	28	up	up	ADP
ejpam-5401	404	29	,	,	PUNCT
ejpam-5401	404	30	then	then	ADV
ejpam-5401	404	31	(	(	PUNCT
ejpam-5401	404	32	γ1	γ1	PROPN
ejpam-5401	404	33	,	,	PUNCT
ejpam-5401	404	34	c1	c1	PROPN
ejpam-5401	404	35	,	,	PUNCT
ejpam-5401	404	36	v	v	NOUN
ejpam-5401	404	37	ψ	ψ	NOUN
ejpam-5401	404	38	)	)	PUNCT
ejpam-5401	404	39	pc	pc	NOUN
ejpam-5401	404	40	≍	≍	PROPN
ejpam-5401	404	41	⊔	⊔	PROPN
ejpam-5401	404	42	(	(	PUNCT
ejpam-5401	404	43	γ2	γ2	PROPN
ejpam-5401	404	44	,	,	PUNCT
ejpam-5401	404	45	c2	c2	PROPN
ejpam-5401	404	46	,	,	PUNCT
ejpam-5401	404	47	v	v	NOUN
ejpam-5401	404	48	ψ	ψ	NOUN
ejpam-5401	404	49	)	)	PUNCT
ejpam-5401	404	50	pc	pc	NOUN
ejpam-5401	404	51	is	be	AUX
ejpam-5401	404	52	also	also	ADV
ejpam-5401	404	53	pchs	pch	NOUN
ejpam-5401	404	54	closed	closed	ADJ
ejpam-5401	404	55	set	set	VERB
ejpam-5401	404	56	.	.	PUNCT
ejpam-5401	405	1	also	also	ADV
ejpam-5401	405	2	,	,	PUNCT
ejpam-5401	405	3	(	(	PUNCT
ejpam-5401	405	4	γ1	γ1	PROPN
ejpam-5401	405	5	,	,	PUNCT
ejpam-5401	405	6	c1	c1	PROPN
ejpam-5401	405	7	,	,	PUNCT
ejpam-5401	405	8	v	v	NOUN
ejpam-5401	405	9	ψ	ψ	NOUN
ejpam-5401	405	10	)	)	PUNCT
ejpam-5401	405	11	pc	pc	NOUN
ejpam-5401	405	12	≍	≍	PROPN
ejpam-5401	405	13	⊑	⊑	X
ejpam-5401	405	14	(	(	PUNCT
ejpam-5401	405	15	γ1	γ1	PROPN
ejpam-5401	405	16	,	,	PUNCT
ejpam-5401	405	17	c1	c1	PROPN
ejpam-5401	405	18	,	,	PUNCT
ejpam-5401	405	19	v	v	NOUN
ejpam-5401	405	20	ψ	ψ	NOUN
ejpam-5401	405	21	)	)	PUNCT
ejpam-5401	405	22	pc	pc	NOUN
ejpam-5401	405	23	and	and	CCONJ
ejpam-5401	405	24	(	(	PUNCT
ejpam-5401	405	25	γ2	γ2	PROPN
ejpam-5401	405	26	,	,	PUNCT
ejpam-5401	405	27	c2	c2	PROPN
ejpam-5401	405	28	,	,	PUNCT
ejpam-5401	405	29	v	v	NOUN
ejpam-5401	405	30	ψ	ψ	NOUN
ejpam-5401	405	31	)	)	PUNCT
ejpam-5401	405	32	pc	pc	NOUN
ejpam-5401	405	33	≍	≍	PROPN
ejpam-5401	405	34	⊑	⊑	X
ejpam-5401	405	35	(	(	PUNCT
ejpam-5401	405	36	γ2	γ2	PROPN
ejpam-5401	405	37	,	,	PUNCT
ejpam-5401	405	38	c2	c2	PROPN
ejpam-5401	405	39	,	,	PUNCT
ejpam-5401	405	40	v	v	NOUN
ejpam-5401	405	41	ψ	ψ	NOUN
ejpam-5401	405	42	)	)	PUNCT
ejpam-5401	405	43	pc	pc	NOUN
ejpam-5401	405	44	it	it	PRON
ejpam-5401	405	45	implies	imply	VERB
ejpam-5401	405	46	that	that	SCONJ
ejpam-5401	405	47	(	(	PUNCT
ejpam-5401	405	48	γ1	γ1	PROPN
ejpam-5401	405	49	,	,	PUNCT
ejpam-5401	405	50	c1	c1	PROPN
ejpam-5401	405	51	,	,	PUNCT
ejpam-5401	405	52	v	v	NOUN
ejpam-5401	405	53	ψ	ψ	NOUN
ejpam-5401	405	54	)	)	PUNCT
ejpam-5401	405	55	pc	pc	NOUN
ejpam-5401	405	56	≍	≍	PROPN
ejpam-5401	405	57	⊔	⊔	PROPN
ejpam-5401	405	58	(	(	PUNCT
ejpam-5401	405	59	γ2	γ2	PROPN
ejpam-5401	405	60	,	,	PUNCT
ejpam-5401	405	61	c2	c2	PROPN
ejpam-5401	405	62	,	,	PUNCT
ejpam-5401	405	63	v	v	NOUN
ejpam-5401	405	64	ψ	ψ	NOUN
ejpam-5401	405	65	)	)	PUNCT
ejpam-5401	405	66	pc	pc	NOUN
ejpam-5401	405	67	≍	≍	PROPN
ejpam-5401	405	68	⊑	⊑	PROPN
ejpam-5401	405	69	(	(	PUNCT
ejpam-5401	405	70	γ1	γ1	PROPN
ejpam-5401	405	71	,	,	PUNCT
ejpam-5401	405	72	c2	c2	PROPN
ejpam-5401	405	73	,	,	PUNCT
ejpam-5401	405	74	v	v	NOUN
ejpam-5401	405	75	ψ	ψ	NOUN
ejpam-5401	405	76	)	)	PUNCT
ejpam-5401	405	77	pc	pc	NOUN
ejpam-5401	405	78	≍	≍	PROPN
ejpam-5401	405	79	⊔	⊔	PROPN
ejpam-5401	405	80	(	(	PUNCT
ejpam-5401	405	81	γ2	γ2	PROPN
ejpam-5401	405	82	,	,	PUNCT
ejpam-5401	405	83	c2	c2	PROPN
ejpam-5401	405	84	,	,	PUNCT
ejpam-5401	405	85	v	v	NOUN
ejpam-5401	405	86	ψ	ψ	NOUN
ejpam-5401	405	87	)	)	PUNCT
ejpam-5401	405	88	pc	pc	NOUN
ejpam-5401	405	89	.	.	PUNCT
ejpam-5401	406	1	thus	thus	ADV
ejpam-5401	406	2	,	,	PUNCT
ejpam-5401	406	3	(	(	PUNCT
ejpam-5401	406	4	γ1	γ1	PROPN
ejpam-5401	406	5	,	,	PUNCT
ejpam-5401	406	6	c	c	X
ejpam-5401	406	7	,	,	PUNCT
ejpam-5401	406	8	v	v	NOUN
ejpam-5401	406	9	ψ	ψ	NOUN
ejpam-5401	406	10	)	)	PUNCT
ejpam-5401	406	11	pc	pc	NOUN
ejpam-5401	406	12	≍	≍	PROPN
ejpam-5401	406	13	⊔	⊔	PROPN
ejpam-5401	406	14	(	(	PUNCT
ejpam-5401	406	15	γ2	γ2	PROPN
ejpam-5401	406	16	,	,	PUNCT
ejpam-5401	406	17	c	c	X
ejpam-5401	406	18	,	,	PUNCT
ejpam-5401	406	19	v	v	NOUN
ejpam-5401	406	20	ψ	ψ	NOUN
ejpam-5401	406	21	)	)	PUNCT
ejpam-5401	406	22	pc	pc	NOUN
ejpam-5401	406	23	is	be	AUX
ejpam-5401	406	24	a	a	DET
ejpam-5401	406	25	pchs	pch	NOUN
ejpam-5401	406	26	closed	close	VERB
ejpam-5401	406	27	set	set	ADJ
ejpam-5401	406	28	containing	contain	VERB
ejpam-5401	406	29	(	(	PUNCT
ejpam-5401	406	30	γ1	γ1	PROPN
ejpam-5401	406	31	,	,	PUNCT
ejpam-5401	406	32	c1	c1	PROPN
ejpam-5401	406	33	,	,	PUNCT
ejpam-5401	406	34	v	v	NOUN
ejpam-5401	406	35	ψ	ψ	NOUN
ejpam-5401	406	36	)	)	PUNCT
ejpam-5401	406	37	pc	pc	NOUN
ejpam-5401	406	38	≍	≍	PROPN
ejpam-5401	406	39	⊔	⊔	PROPN
ejpam-5401	406	40	(	(	PUNCT
ejpam-5401	406	41	γ1	γ1	PROPN
ejpam-5401	406	42	,	,	PUNCT
ejpam-5401	406	43	c1	c1	PROPN
ejpam-5401	406	44	,	,	PUNCT
ejpam-5401	406	45	v	v	NOUN
ejpam-5401	406	46	ψ	ψ	NOUN
ejpam-5401	406	47	)	)	PUNCT
ejpam-5401	406	48	pc	pc	NOUN
ejpam-5401	406	49	.	.	PUNCT
ejpam-5401	407	1	since	since	SCONJ
ejpam-5401	407	2	(	(	PUNCT
ejpam-5401	407	3	γ1	γ1	PROPN
ejpam-5401	407	4	,	,	PUNCT
ejpam-5401	407	5	c2	c2	PROPN
ejpam-5401	407	6	,	,	PUNCT
ejpam-5401	407	7	v	v	NOUN
ejpam-5401	407	8	ψ	ψ	NOUN
ejpam-5401	407	9	)	)	PUNCT
ejpam-5401	407	10	pc	pc	NOUN
ejpam-5401	407	11	≍	≍	PROPN
ejpam-5401	407	12	⊔	⊔	PROPN
ejpam-5401	407	13	(	(	PUNCT
ejpam-5401	407	14	γ2	γ2	PROPN
ejpam-5401	407	15	,	,	PUNCT
ejpam-5401	407	16	c2	c2	PROPN
ejpam-5401	407	17	,	,	PUNCT
ejpam-5401	407	18	v	v	NOUN
ejpam-5401	407	19	ψ	ψ	NOUN
ejpam-5401	407	20	)	)	PUNCT
ejpam-5401	407	21	pc	pc	NOUN
ejpam-5401	407	22	is	be	AUX
ejpam-5401	407	23	the	the	DET
ejpam-5401	407	24	smallest	small	ADJ
ejpam-5401	407	25	pchs	pch	NOUN
ejpam-5401	407	26	closed	close	VERB
ejpam-5401	407	27	set	set	ADJ
ejpam-5401	407	28	containing	contain	VERB
ejpam-5401	407	29	(	(	PUNCT
ejpam-5401	407	30	γ1	γ1	PROPN
ejpam-5401	407	31	,	,	PUNCT
ejpam-5401	407	32	c1	c1	PROPN
ejpam-5401	407	33	,	,	PUNCT
ejpam-5401	407	34	v	v	NOUN
ejpam-5401	407	35	ψ	ψ	NOUN
ejpam-5401	407	36	)	)	PUNCT
ejpam-5401	407	37	pc	pc	NOUN
ejpam-5401	407	38	≍	≍	PROPN
ejpam-5401	407	39	⊔	⊔	PROPN
ejpam-5401	407	40	(	(	PUNCT
ejpam-5401	407	41	γ2	γ2	PROPN
ejpam-5401	407	42	,	,	PUNCT
ejpam-5401	407	43	c2	c2	PROPN
ejpam-5401	407	44	,	,	PUNCT
ejpam-5401	407	45	v	v	NOUN
ejpam-5401	407	46	ψ	ψ	NOUN
ejpam-5401	407	47	)	)	PUNCT
ejpam-5401	407	48	pc	pc	NOUN
ejpam-5401	407	49	,	,	PUNCT
ejpam-5401	407	50	we	we	PRON
ejpam-5401	407	51	have	have	VERB
ejpam-5401	407	52	(	(	PUNCT
ejpam-5401	407	53	γ1	γ1	PROPN
ejpam-5401	407	54	,	,	PUNCT
ejpam-5401	407	55	c1	c1	PROPN
ejpam-5401	407	56	,	,	PUNCT
ejpam-5401	407	57	v	v	NOUN
ejpam-5401	407	58	ψ	ψ	NOUN
ejpam-5401	407	59	)	)	PUNCT
ejpam-5401	407	60	pc	pc	NOUN
ejpam-5401	407	61	≍	≍	PROPN
ejpam-5401	407	62	⊔	⊔	PROPN
ejpam-5401	407	63	(	(	PUNCT
ejpam-5401	407	64	γ2	γ2	PROPN
ejpam-5401	407	65	,	,	PUNCT
ejpam-5401	407	66	c2	c2	PROPN
ejpam-5401	407	67	,	,	PUNCT
ejpam-5401	407	68	v	v	NOUN
ejpam-5401	407	69	ψ	ψ	NOUN
ejpam-5401	407	70	)	)	PUNCT
ejpam-5401	407	71	pc	pc	NOUN
ejpam-5401	407	72	≍	≍	PROPN
ejpam-5401	407	73	⊑	⊑	PROPN
ejpam-5401	407	74	(	(	PUNCT
ejpam-5401	407	75	γ1	γ1	PROPN
ejpam-5401	407	76	,	,	PUNCT
ejpam-5401	407	77	c1	c1	PROPN
ejpam-5401	407	78	,	,	PUNCT
ejpam-5401	407	79	v	v	NOUN
ejpam-5401	407	80	ψ	ψ	NOUN
ejpam-5401	407	81	)	)	PUNCT
ejpam-5401	407	82	pc	pc	NOUN
ejpam-5401	407	83	≍	≍	PROPN
ejpam-5401	407	84	⊔	⊔	PROPN
ejpam-5401	407	85	(	(	PUNCT
ejpam-5401	407	86	γ2	γ2	PROPN
ejpam-5401	407	87	,	,	PUNCT
ejpam-5401	407	88	c2	c2	PROPN
ejpam-5401	407	89	,	,	PUNCT
ejpam-5401	407	90	v	v	NOUN
ejpam-5401	407	91	ψ	ψ	NOUN
ejpam-5401	407	92	)	)	PUNCT
ejpam-5401	407	93	pc	pc	NOUN
ejpam-5401	407	94	.	.	PUNCT
ejpam-5401	408	1	hence	hence	ADV
ejpam-5401	408	2	,	,	PUNCT
ejpam-5401	408	3	(	(	PUNCT
ejpam-5401	408	4	γ1	γ1	PROPN
ejpam-5401	408	5	,	,	PUNCT
ejpam-5401	408	6	c1	c1	PROPN
ejpam-5401	408	7	,	,	PUNCT
ejpam-5401	408	8	v	v	NOUN
ejpam-5401	408	9	ψ	ψ	NOUN
ejpam-5401	408	10	)	)	PUNCT
ejpam-5401	408	11	pc	pc	NOUN
ejpam-5401	408	12	≍	≍	PROPN
ejpam-5401	408	13	⊔	⊔	PROPN
ejpam-5401	408	14	(	(	PUNCT
ejpam-5401	408	15	γ2	γ2	PROPN
ejpam-5401	408	16	,	,	PUNCT
ejpam-5401	408	17	c2	c2	PROPN
ejpam-5401	408	18	,	,	PUNCT
ejpam-5401	408	19	v	v	NOUN
ejpam-5401	408	20	ψ	ψ	NOUN
ejpam-5401	408	21	)	)	PUNCT
ejpam-5401	408	22	pc	pc	NOUN
ejpam-5401	408	23	≍	≍	NOUN
ejpam-5401	408	24	=	=	SYM
ejpam-5401	408	25	(	(	PUNCT
ejpam-5401	408	26	γ1	γ1	PROPN
ejpam-5401	408	27	,	,	PUNCT
ejpam-5401	408	28	c1	c1	PROPN
ejpam-5401	408	29	,	,	PUNCT
ejpam-5401	408	30	v	v	NOUN
ejpam-5401	408	31	ψ	ψ	NOUN
ejpam-5401	408	32	)	)	PUNCT
ejpam-5401	408	33	pc	pc	NOUN
ejpam-5401	408	34	≍	≍	PROPN
ejpam-5401	408	35	⊔	⊔	PROPN
ejpam-5401	408	36	(	(	PUNCT
ejpam-5401	408	37	γ2	γ2	PROPN
ejpam-5401	408	38	,	,	PUNCT
ejpam-5401	408	39	c2	c2	PROPN
ejpam-5401	408	40	,	,	PUNCT
ejpam-5401	408	41	v	v	NOUN
ejpam-5401	408	42	ψ	ψ	NOUN
ejpam-5401	408	43	)	)	PUNCT
ejpam-5401	408	44	pc	pc	NOUN
ejpam-5401	408	45	.	.	PUNCT
ejpam-5401	409	1	(	(	PUNCT
ejpam-5401	409	2	v	v	NOUN
ejpam-5401	409	3	)	)	PUNCT
ejpam-5401	409	4	since	since	SCONJ
ejpam-5401	409	5	(	(	PUNCT
ejpam-5401	409	6	γ1	γ1	PROPN
ejpam-5401	409	7	,	,	PUNCT
ejpam-5401	409	8	c1	c1	PROPN
ejpam-5401	409	9	,	,	PUNCT
ejpam-5401	409	10	v	v	NOUN
ejpam-5401	409	11	ψ	ψ	NOUN
ejpam-5401	409	12	)	)	PUNCT
ejpam-5401	409	13	pc	pc	NOUN
ejpam-5401	409	14	≍	≍	VERB
ejpam-5401	409	15	⊓	⊓	PROPN
ejpam-5401	409	16	(	(	PUNCT
ejpam-5401	409	17	γ2	γ2	PROPN
ejpam-5401	409	18	,	,	PUNCT
ejpam-5401	409	19	c2	c2	PROPN
ejpam-5401	409	20	,	,	PUNCT
ejpam-5401	409	21	v	v	NOUN
ejpam-5401	409	22	ψ	ψ	NOUN
ejpam-5401	409	23	)	)	PUNCT
ejpam-5401	409	24	pc	pc	NOUN
ejpam-5401	409	25	≍	≍	PROPN
ejpam-5401	409	26	⊑	⊑	X
ejpam-5401	409	27	(	(	PUNCT
ejpam-5401	409	28	γ1	γ1	PROPN
ejpam-5401	409	29	,	,	PUNCT
ejpam-5401	409	30	c1	c1	PROPN
ejpam-5401	409	31	,	,	PUNCT
ejpam-5401	409	32	v	v	NOUN
ejpam-5401	409	33	ψ	ψ	NOUN
ejpam-5401	409	34	)	)	PUNCT
ejpam-5401	409	35	pc	pc	NOUN
ejpam-5401	409	36	and	and	CCONJ
ejpam-5401	409	37	(	(	PUNCT
ejpam-5401	409	38	γ2	γ2	PROPN
ejpam-5401	409	39	,	,	PUNCT
ejpam-5401	409	40	c2	c2	PROPN
ejpam-5401	409	41	,	,	PUNCT
ejpam-5401	409	42	v	v	NOUN
ejpam-5401	409	43	ψ	ψ	NOUN
ejpam-5401	409	44	)	)	PUNCT
ejpam-5401	409	45	pc	pc	NOUN
ejpam-5401	409	46	≍	≍	VERB
ejpam-5401	409	47	⊓	⊓	PROPN
ejpam-5401	409	48	(	(	PUNCT
ejpam-5401	409	49	γ1	γ1	PROPN
ejpam-5401	409	50	,	,	PUNCT
ejpam-5401	409	51	c1	c1	PROPN
ejpam-5401	409	52	,	,	PUNCT
ejpam-5401	409	53	v	v	NOUN
ejpam-5401	409	54	ψ	ψ	NOUN
ejpam-5401	409	55	)	)	PUNCT
ejpam-5401	409	56	pc	pc	NOUN
ejpam-5401	409	57	≍	≍	PROPN
ejpam-5401	409	58	⊑	⊑	X
ejpam-5401	409	59	(	(	PUNCT
ejpam-5401	409	60	γ2	γ2	PROPN
ejpam-5401	409	61	,	,	PUNCT
ejpam-5401	409	62	c2	c2	PROPN
ejpam-5401	409	63	,	,	PUNCT
ejpam-5401	409	64	v	v	NOUN
ejpam-5401	409	65	ψ	ψ	NOUN
ejpam-5401	409	66	)	)	PUNCT
ejpam-5401	409	67	pc	pc	NOUN
ejpam-5401	409	68	.	.	PUNCT
ejpam-5401	410	1	therefore	therefore	ADV
ejpam-5401	410	2	,	,	PUNCT
ejpam-5401	410	3	(	(	PUNCT
ejpam-5401	410	4	γ1	γ1	PROPN
ejpam-5401	410	5	,	,	PUNCT
ejpam-5401	410	6	c1	c1	PROPN
ejpam-5401	410	7	,	,	PUNCT
ejpam-5401	410	8	v	v	NOUN
ejpam-5401	410	9	ψ	ψ	NOUN
ejpam-5401	410	10	)	)	PUNCT
ejpam-5401	410	11	pc	pc	NOUN
ejpam-5401	410	12	≍	≍	VERB
ejpam-5401	410	13	⊓	⊓	PROPN
ejpam-5401	410	14	(	(	PUNCT
ejpam-5401	410	15	γ2	γ2	PROPN
ejpam-5401	410	16	,	,	PUNCT
ejpam-5401	410	17	c2	c2	PROPN
ejpam-5401	410	18	,	,	PUNCT
ejpam-5401	410	19	v	v	NOUN
ejpam-5401	410	20	ψ	ψ	NOUN
ejpam-5401	410	21	)	)	PUNCT
ejpam-5401	410	22	pc	pc	NOUN
ejpam-5401	410	23	≍	≍	PROPN
ejpam-5401	410	24	⊑	⊑	PROPN
ejpam-5401	410	25	(	(	PUNCT
ejpam-5401	410	26	γ1	γ1	PROPN
ejpam-5401	410	27	,	,	PUNCT
ejpam-5401	410	28	c1	c1	PROPN
ejpam-5401	410	29	,	,	PUNCT
ejpam-5401	410	30	v	v	NOUN
ejpam-5401	410	31	ψ	ψ	NOUN
ejpam-5401	410	32	)	)	PUNCT
ejpam-5401	410	33	pc	pc	NOUN
ejpam-5401	410	34	≍	≍	VERB
ejpam-5401	410	35	⊓	⊓	PROPN
ejpam-5401	410	36	(	(	PUNCT
ejpam-5401	410	37	γ2	γ2	PROPN
ejpam-5401	410	38	,	,	PUNCT
ejpam-5401	410	39	c2	c2	PROPN
ejpam-5401	410	40	,	,	PUNCT
ejpam-5401	410	41	v	v	NOUN
ejpam-5401	410	42	ψ	ψ	NOUN
ejpam-5401	410	43	)	)	PUNCT
ejpam-5401	410	44	pc	pc	NOUN
ejpam-5401	410	45	.	.	PUNCT
ejpam-5401	411	1	(	(	PUNCT
ejpam-5401	411	2	vi	vi	NOUN
ejpam-5401	411	3	)	)	PUNCT
ejpam-5401	411	4	since	since	SCONJ
ejpam-5401	411	5	(	(	PUNCT
ejpam-5401	411	6	γ1	γ1	PROPN
ejpam-5401	411	7	,	,	PUNCT
ejpam-5401	411	8	c1	c1	PROPN
ejpam-5401	411	9	,	,	PUNCT
ejpam-5401	411	10	v	v	NOUN
ejpam-5401	411	11	ψ	ψ	NOUN
ejpam-5401	411	12	)	)	PUNCT
ejpam-5401	411	13	pc	pc	NOUN
ejpam-5401	411	14	is	be	AUX
ejpam-5401	411	15	a	a	DET
ejpam-5401	411	16	pchs	pch	NOUN
ejpam-5401	411	17	closed	close	VERB
ejpam-5401	411	18	set	set	VERB
ejpam-5401	411	19	,	,	PUNCT
ejpam-5401	411	20	by	by	ADP
ejpam-5401	411	21	proposition	proposition	NOUN
ejpam-5401	411	22	7(ii	7(ii	NUM
ejpam-5401	411	23	)	)	PUNCT
ejpam-5401	411	24	,	,	PUNCT
ejpam-5401	411	25	it	it	PRON
ejpam-5401	411	26	follows	follow	VERB
ejpam-5401	411	27	that	that	SCONJ
ejpam-5401	411	28	(	(	PUNCT
ejpam-5401	411	29	γ1	γ1	PROPN
ejpam-5401	411	30	,	,	PUNCT
ejpam-5401	411	31	c1	c1	PROPN
ejpam-5401	411	32	,	,	PUNCT
ejpam-5401	411	33	v	v	NOUN
ejpam-5401	411	34	ψ	ψ	NOUN
ejpam-5401	411	35	)	)	PUNCT
ejpam-5401	411	36	pc	pc	NOUN
ejpam-5401	411	37	≍	≍	NOUN
ejpam-5401	411	38	=	=	SYM
ejpam-5401	411	39	(	(	PUNCT
ejpam-5401	411	40	γ1	γ1	PROPN
ejpam-5401	411	41	,	,	PUNCT
ejpam-5401	411	42	c1	c1	PROPN
ejpam-5401	411	43	,	,	PUNCT
ejpam-5401	411	44	v	v	NOUN
ejpam-5401	411	45	ψ	ψ	NOUN
ejpam-5401	411	46	)	)	PUNCT
ejpam-5401	411	47	pc	pc	NOUN
ejpam-5401	411	48	.	.	PUNCT
ejpam-5401	412	1	remark	remark	PROPN
ejpam-5401	412	2	7	7	NUM
ejpam-5401	412	3	.	.	PUNCT
ejpam-5401	413	1	the	the	DET
ejpam-5401	413	2	equality	equality	NOUN
ejpam-5401	413	3	of	of	ADP
ejpam-5401	413	4	above	above	ADJ
ejpam-5401	413	5	proposition	proposition	NOUN
ejpam-5401	413	6	part	part	NOUN
ejpam-5401	413	7	(	(	PUNCT
ejpam-5401	413	8	v	v	NOUN
ejpam-5401	413	9	)	)	PUNCT
ejpam-5401	413	10	does	do	AUX
ejpam-5401	413	11	not	not	PART
ejpam-5401	413	12	hold	hold	VERB
ejpam-5401	413	13	in	in	ADP
ejpam-5401	413	14	general	general	ADJ
ejpam-5401	413	15	.	.	PUNCT
ejpam-5401	414	1	see	see	VERB
ejpam-5401	414	2	the	the	DET
ejpam-5401	414	3	next	next	ADJ
ejpam-5401	414	4	example	example	NOUN
ejpam-5401	414	5	.	.	PUNCT
ejpam-5401	415	1	example	example	NOUN
ejpam-5401	416	1	6	6	NUM
ejpam-5401	416	2	.	.	PUNCT
ejpam-5401	416	3	consider	consider	VERB
ejpam-5401	416	4	the	the	DET
ejpam-5401	416	5	pchst	pchst	ADJ
ejpam-5401	416	6	space	space	NOUN
ejpam-5401	416	7	(	(	PUNCT
ejpam-5401	416	8	up	up	ADP
ejpam-5401	416	9	,	,	PUNCT
ejpam-5401	416	10	τpc	τpc	NOUN
ejpam-5401	416	11	,	,	PUNCT
ejpam-5401	416	12	vψ	vψ	X
ejpam-5401	416	13	)	)	PUNCT
ejpam-5401	416	14	in	in	ADP
ejpam-5401	416	15	example	example	NOUN
ejpam-5401	416	16	2	2	NUM
ejpam-5401	416	17	.	.	X
ejpam-5401	416	18	define	define	VERB
ejpam-5401	416	19	(	(	PUNCT
ejpam-5401	416	20	γ4	γ4	NOUN
ejpam-5401	416	21	,	,	PUNCT
ejpam-5401	416	22	c4	c4	NOUN
ejpam-5401	416	23	,	,	PUNCT
ejpam-5401	416	24	vψ)pc	vψ)pc	PROPN
ejpam-5401	416	25	and	and	CCONJ
ejpam-5401	416	26	(	(	PUNCT
ejpam-5401	416	27	γ5	γ5	PROPN
ejpam-5401	416	28	,	,	PUNCT
ejpam-5401	416	29	c5	c5	PROPN
ejpam-5401	416	30	,	,	PUNCT
ejpam-5401	416	31	vψ)pc	vψ)pc	X
ejpam-5401	416	32	as	as	ADP
ejpam-5401	416	33	the	the	DET
ejpam-5401	416	34	follow	follow	NOUN
ejpam-5401	416	35	:	:	PUNCT
ejpam-5401	416	36	(	(	PUNCT
ejpam-5401	416	37	γ4	γ4	NOUN
ejpam-5401	416	38	,	,	PUNCT
ejpam-5401	416	39	c4	c4	NOUN
ejpam-5401	416	40	,	,	PUNCT
ejpam-5401	416	41	vψ)pc=	vψ)pc=	PUNCT
ejpam-5401	416	42	{	{	PUNCT
ejpam-5401	416	43	<	<	X
ejpam-5401	416	44	(	(	PUNCT
ejpam-5401	416	45	α	α	NOUN
ejpam-5401	416	46	)	)	PUNCT
ejpam-5401	416	47	,	,	PUNCT
ejpam-5401	416	48	{	{	PUNCT
ejpam-5401	416	49	x1	x1	PROPN
ejpam-5401	416	50	(	(	PUNCT
ejpam-5401	416	51	0	0	NUM
ejpam-5401	416	52	,	,	PUNCT
ejpam-5401	416	53	1	1	NUM
ejpam-5401	416	54	,	,	PUNCT
ejpam-5401	416	55	0	0	NUM
ejpam-5401	416	56	)	)	PUNCT
ejpam-5401	416	57	}	}	PUNCT
ejpam-5401	417	1	>	>	PUNCT
ejpam-5401	417	2	,	,	PUNCT
ejpam-5401	417	3	<	<	X
ejpam-5401	417	4	(	(	PUNCT
ejpam-5401	417	5	β	β	NOUN
ejpam-5401	417	6	)	)	PUNCT
ejpam-5401	417	7	,	,	PUNCT
ejpam-5401	417	8	{	{	PUNCT
ejpam-5401	417	9	x4	x4	X
ejpam-5401	417	10	(	(	PUNCT
ejpam-5401	417	11	1	1	NUM
ejpam-5401	417	12	,	,	PUNCT
ejpam-5401	417	13	1	1	NUM
ejpam-5401	417	14	,	,	PUNCT
ejpam-5401	417	15	1	1	NUM
ejpam-5401	417	16	)	)	PUNCT
ejpam-5401	417	17	}	}	PUNCT
ejpam-5401	417	18	>	>	PUNCT
ejpam-5401	417	19	}	}	PUNCT
ejpam-5401	417	20	and	and	CCONJ
ejpam-5401	417	21	(	(	PUNCT
ejpam-5401	417	22	γ5	γ5	PROPN
ejpam-5401	417	23	,	,	PUNCT
ejpam-5401	417	24	c5	c5	PROPN
ejpam-5401	417	25	,	,	PUNCT
ejpam-5401	417	26	vψ)pc	vψ)pc	X
ejpam-5401	417	27	=	=	PUNCT
ejpam-5401	417	28	{	{	PUNCT
ejpam-5401	417	29	<	<	X
ejpam-5401	417	30	(	(	PUNCT
ejpam-5401	417	31	α	α	NOUN
ejpam-5401	417	32	)	)	PUNCT
ejpam-5401	417	33	,	,	PUNCT
ejpam-5401	417	34	{	{	PUNCT
ejpam-5401	417	35	x2	x2	X
ejpam-5401	417	36	(	(	PUNCT
ejpam-5401	417	37	1	1	NUM
ejpam-5401	417	38	,	,	PUNCT
ejpam-5401	417	39	1	1	NUM
ejpam-5401	417	40	,	,	PUNCT
ejpam-5401	417	41	1	1	NUM
ejpam-5401	417	42	)	)	PUNCT
ejpam-5401	417	43	}	}	PUNCT
ejpam-5401	417	44	>	>	PUNCT
ejpam-5401	417	45	,	,	PUNCT
ejpam-5401	417	46	<	<	X
ejpam-5401	417	47	(	(	PUNCT
ejpam-5401	417	48	β	β	NOUN
ejpam-5401	417	49	)	)	PUNCT
ejpam-5401	417	50	,	,	PUNCT
ejpam-5401	417	51	{	{	PUNCT
ejpam-5401	417	52	x1	x1	NOUN
ejpam-5401	417	53	(	(	PUNCT
ejpam-5401	417	54	1	1	NUM
ejpam-5401	417	55	,	,	PUNCT
ejpam-5401	417	56	0	0	NUM
ejpam-5401	417	57	,	,	PUNCT
ejpam-5401	417	58	1	1	NUM
ejpam-5401	417	59	)	)	PUNCT
ejpam-5401	417	60	}	}	PUNCT
ejpam-5401	417	61	>	>	PUNCT
ejpam-5401	417	62	}	}	PUNCT
ejpam-5401	417	63	.	.	PUNCT
ejpam-5401	418	1	then	then	ADV
ejpam-5401	418	2	:	:	PUNCT
ejpam-5401	418	3	(	(	PUNCT
ejpam-5401	418	4	γ4	γ4	NOUN
ejpam-5401	418	5	,	,	PUNCT
ejpam-5401	418	6	c4	c4	NOUN
ejpam-5401	418	7	,	,	PUNCT
ejpam-5401	418	8	vψ)pc	vψ)pc	X
ejpam-5401	418	9	≍	≍	PROPN
ejpam-5401	418	10	=	=	SYM
ejpam-5401	418	11	(	(	PUNCT
ejpam-5401	418	12	γ1	γ1	PROPN
ejpam-5401	418	13	,	,	PUNCT
ejpam-5401	418	14	c1	c1	PROPN
ejpam-5401	418	15	,	,	PUNCT
ejpam-5401	418	16	vψ	vψ	PROPN
ejpam-5401	418	17	)	)	PUNCT
ejpam-5401	418	18	c	c	NOUN
ejpam-5401	418	19	pc	pc	NOUN
ejpam-5401	418	20	and	and	CCONJ
ejpam-5401	418	21	(	(	PUNCT
ejpam-5401	418	22	γ5	γ5	PROPN
ejpam-5401	418	23	,	,	PUNCT
ejpam-5401	418	24	c5	c5	PROPN
ejpam-5401	418	25	,	,	PUNCT
ejpam-5401	418	26	vψ)pc	vψ)pc	PROPN
ejpam-5401	418	27	≍	≍	PROPN
ejpam-5401	418	28	=	=	SYM
ejpam-5401	418	29	(	(	PUNCT
ejpam-5401	418	30	γ1	γ1	PROPN
ejpam-5401	418	31	,	,	PUNCT
ejpam-5401	418	32	c1	c1	PROPN
ejpam-5401	418	33	,	,	PUNCT
ejpam-5401	418	34	vψ	vψ	PROPN
ejpam-5401	418	35	)	)	PUNCT
ejpam-5401	418	36	c	c	NOUN
ejpam-5401	418	37	pc	pc	NOUN
ejpam-5401	418	38	.	.	PUNCT
ejpam-5401	419	1	now	now	ADV
ejpam-5401	419	2	,	,	PUNCT
ejpam-5401	419	3	(	(	PUNCT
ejpam-5401	419	4	γ4	γ4	NOUN
ejpam-5401	419	5	,	,	PUNCT
ejpam-5401	419	6	c4	c4	NOUN
ejpam-5401	419	7	,	,	PUNCT
ejpam-5401	419	8	vψ)pc	vψ)pc	PROPN
ejpam-5401	419	9	≍	≍	PROPN
ejpam-5401	419	10	⊓(γ5	⊓(γ5	PROPN
ejpam-5401	419	11	,	,	PUNCT
ejpam-5401	419	12	c5	c5	PROPN
ejpam-5401	419	13	,	,	PUNCT
ejpam-5401	419	14	vψ)pc	vψ)pc	PROPN
ejpam-5401	419	15	≍	≍	PROPN
ejpam-5401	419	16	=	=	SYM
ejpam-5401	419	17	(	(	PUNCT
ejpam-5401	419	18	γ1	γ1	PROPN
ejpam-5401	419	19	,	,	PUNCT
ejpam-5401	419	20	c1	c1	PROPN
ejpam-5401	419	21	,	,	PUNCT
ejpam-5401	419	22	vψ	vψ	PROPN
ejpam-5401	419	23	)	)	PUNCT
ejpam-5401	419	24	c	c	NOUN
ejpam-5401	419	25	pc	pc	NOUN
ejpam-5401	419	26	but	but	CCONJ
ejpam-5401	419	27	(	(	PUNCT
ejpam-5401	419	28	γ4	γ4	NOUN
ejpam-5401	419	29	,	,	PUNCT
ejpam-5401	419	30	c4	c4	NOUN
ejpam-5401	419	31	,	,	PUNCT
ejpam-5401	420	1	vψ)pc	vψ)pc	PROPN
ejpam-5401	420	2	≍	≍	PROPN
ejpam-5401	420	3	⊓	⊓	PROPN
ejpam-5401	420	4	(	(	PUNCT
ejpam-5401	420	5	γ5	γ5	PROPN
ejpam-5401	420	6	,	,	PUNCT
ejpam-5401	420	7	c5	c5	PROPN
ejpam-5401	420	8	,	,	PUNCT
ejpam-5401	420	9	vψ)pc	vψ)pc	PROPN
ejpam-5401	420	10	≍	≍	PROPN
ejpam-5401	420	11	=	=	SYM
ejpam-5401	420	12	(	(	PUNCT
ejpam-5401	420	13	φ	φ	PROPN
ejpam-5401	420	14	,	,	PUNCT
ejpam-5401	420	15	c	c	NOUN
ejpam-5401	420	16	,	,	PUNCT
ejpam-5401	420	17	v	v	NOUN
ejpam-5401	420	18	ψ	ψ	NOUN
ejpam-5401	420	19	)	)	PUNCT
ejpam-5401	420	20	pc	pc	NOUN
ejpam-5401	420	21	and	and	CCONJ
ejpam-5401	420	22	(	(	PUNCT
ejpam-5401	420	23	γ1	γ1	PROPN
ejpam-5401	420	24	,	,	PUNCT
ejpam-5401	420	25	c1	c1	PROPN
ejpam-5401	420	26	,	,	PUNCT
ejpam-5401	420	27	vψ	vψ	PROPN
ejpam-5401	420	28	)	)	PUNCT
ejpam-5401	420	29	c	c	NOUN
ejpam-5401	420	30	pc	pc	NOUN
ejpam-5401	420	31	≍	≍	PROPN
ejpam-5401	420	32	̸=	̸=	PROPN
ejpam-5401	420	33	(	(	PUNCT
ejpam-5401	420	34	φ	φ	PROPN
ejpam-5401	420	35	,	,	PUNCT
ejpam-5401	420	36	c	c	NOUN
ejpam-5401	420	37	,	,	PUNCT
ejpam-5401	420	38	v	v	NOUN
ejpam-5401	420	39	ψ	ψ	NOUN
ejpam-5401	420	40	)	)	PUNCT
ejpam-5401	420	41	pc	pc	NOUN
ejpam-5401	420	42	.	.	PUNCT
ejpam-5401	421	1	n.	n.	PROPN
ejpam-5401	421	2	k.	k.	PROPN
ejpam-5401	421	3	ahmed	ahmed	PROPN
ejpam-5401	421	4	,	,	PUNCT
ejpam-5401	421	5	o.	o.	PROPN
ejpam-5401	421	6	t.	t.	PROPN
ejpam-5401	421	7	pirbal	pirbal	PROPN
ejpam-5401	421	8	/	/	SYM
ejpam-5401	421	9	eur	eur	PROPN
ejpam-5401	421	10	.	.	PUNCT
ejpam-5401	422	1	j.	j.	PROPN
ejpam-5401	422	2	pure	pure	PROPN
ejpam-5401	422	3	appl	appl	PROPN
ejpam-5401	422	4	.	.	PROPN
ejpam-5401	422	5	math	math	PROPN
ejpam-5401	422	6	,	,	PUNCT
ejpam-5401	422	7	17	17	NUM
ejpam-5401	422	8	(	(	PUNCT
ejpam-5401	422	9	4	4	NUM
ejpam-5401	422	10	)	)	PUNCT
ejpam-5401	422	11	(	(	PUNCT
ejpam-5401	422	12	2024	2024	NUM
ejpam-5401	422	13	)	)	PUNCT
ejpam-5401	422	14	,	,	PUNCT
ejpam-5401	422	15	3043	3043	NUM
ejpam-5401	422	16	-	-	SYM
ejpam-5401	422	17	3060	3060	NUM
ejpam-5401	422	18	3056	3056	NUM
ejpam-5401	422	19	definition	definition	NOUN
ejpam-5401	422	20	32	32	NUM
ejpam-5401	422	21	.	.	PUNCT
ejpam-5401	423	1	let	let	VERB
ejpam-5401	423	2	(	(	PUNCT
ejpam-5401	423	3	up	up	ADP
ejpam-5401	423	4	,	,	PUNCT
ejpam-5401	423	5	τpc	τpc	NOUN
ejpam-5401	423	6	,	,	PUNCT
ejpam-5401	423	7	vψ	vψ	AUX
ejpam-5401	423	8	)	)	PUNCT
ejpam-5401	423	9	be	be	AUX
ejpam-5401	423	10	a	a	DET
ejpam-5401	423	11	pchst	pchst	ADJ
ejpam-5401	423	12	space	space	NOUN
ejpam-5401	423	13	over	over	ADP
ejpam-5401	423	14	up	up	ADP
ejpam-5401	423	15	,	,	PUNCT
ejpam-5401	423	16	(	(	PUNCT
ejpam-5401	423	17	γ	γ	X
ejpam-5401	423	18	,	,	PUNCT
ejpam-5401	423	19	c	c	NOUN
ejpam-5401	423	20	,	,	PUNCT
ejpam-5401	423	21	v	v	NOUN
ejpam-5401	423	22	ψ	ψ	NOUN
ejpam-5401	423	23	)	)	PUNCT
ejpam-5401	423	24	pc	pc	NOUN
ejpam-5401	423	25	be	be	AUX
ejpam-5401	423	26	a	a	DET
ejpam-5401	423	27	pchs	pch	NOUN
ejpam-5401	423	28	set	set	VERB
ejpam-5401	423	29	and	and	CCONJ
ejpam-5401	423	30	x	x	PART
ejpam-5401	423	31	∈	∈	NOUN
ejpam-5401	423	32	up	up	ADP
ejpam-5401	423	33	.	.	PUNCT
ejpam-5401	424	1	then	then	ADV
ejpam-5401	424	2	x	x	X
ejpam-5401	424	3	is	be	AUX
ejpam-5401	424	4	said	say	VERB
ejpam-5401	424	5	to	to	PART
ejpam-5401	424	6	be	be	AUX
ejpam-5401	424	7	a	a	DET
ejpam-5401	424	8	pchs	pchs	ADJ
ejpam-5401	424	9	interior	interior	ADJ
ejpam-5401	424	10	point	point	NOUN
ejpam-5401	424	11	of	of	ADP
ejpam-5401	424	12	(	(	PUNCT
ejpam-5401	424	13	γ	γ	X
ejpam-5401	424	14	,	,	PUNCT
ejpam-5401	424	15	c	c	NOUN
ejpam-5401	424	16	,	,	PUNCT
ejpam-5401	424	17	v	v	NOUN
ejpam-5401	424	18	ψ	ψ	NOUN
ejpam-5401	424	19	)	)	PUNCT
ejpam-5401	424	20	pc	pc	NOUN
ejpam-5401	424	21	if	if	SCONJ
ejpam-5401	424	22	there	there	PRON
ejpam-5401	424	23	exist	exist	VERB
ejpam-5401	424	24	a	a	DET
ejpam-5401	424	25	pchs	pch	NOUN
ejpam-5401	424	26	open	open	ADJ
ejpam-5401	424	27	set	set	NOUN
ejpam-5401	424	28	(	(	PUNCT
ejpam-5401	424	29	γ∗	γ∗	PROPN
ejpam-5401	424	30	,	,	PUNCT
ejpam-5401	424	31	c∗	c∗	PROPN
ejpam-5401	424	32	,	,	PUNCT
ejpam-5401	424	33	v	v	NOUN
ejpam-5401	424	34	ψ	ψ	NOUN
ejpam-5401	424	35	)	)	PUNCT
ejpam-5401	424	36	pc	pc	NOUN
ejpam-5401	424	37	such	such	ADJ
ejpam-5401	424	38	that	that	SCONJ
ejpam-5401	424	39	x	x	SYM
ejpam-5401	424	40	∈	∈	PROPN
ejpam-5401	424	41	(	(	PUNCT
ejpam-5401	424	42	γ∗	γ∗	PROPN
ejpam-5401	424	43	,	,	PUNCT
ejpam-5401	424	44	c∗	c∗	PROPN
ejpam-5401	424	45	,	,	PUNCT
ejpam-5401	424	46	v	v	NOUN
ejpam-5401	424	47	ψ	ψ	NOUN
ejpam-5401	424	48	)	)	PUNCT
ejpam-5401	424	49	pc	pc	NOUN
ejpam-5401	424	50	≍	≍	PROPN
ejpam-5401	424	51	⊑	⊑	X
ejpam-5401	424	52	(	(	PUNCT
ejpam-5401	424	53	γ	γ	X
ejpam-5401	424	54	,	,	PUNCT
ejpam-5401	424	55	c	c	NOUN
ejpam-5401	424	56	,	,	PUNCT
ejpam-5401	424	57	v	v	NOUN
ejpam-5401	424	58	ψ	ψ	NOUN
ejpam-5401	424	59	)	)	PUNCT
ejpam-5401	424	60	pc	pc	NOUN
ejpam-5401	424	61	.	.	PUNCT
ejpam-5401	425	1	definition	definition	NOUN
ejpam-5401	425	2	33	33	NUM
ejpam-5401	425	3	.	.	PUNCT
ejpam-5401	426	1	let	let	VERB
ejpam-5401	426	2	(	(	PUNCT
ejpam-5401	426	3	up	up	ADP
ejpam-5401	426	4	,	,	PUNCT
ejpam-5401	426	5	τpc	τpc	NOUN
ejpam-5401	426	6	,	,	PUNCT
ejpam-5401	426	7	vψ	vψ	AUX
ejpam-5401	426	8	)	)	PUNCT
ejpam-5401	426	9	be	be	AUX
ejpam-5401	426	10	a	a	DET
ejpam-5401	426	11	pchst	pchst	ADJ
ejpam-5401	426	12	space	space	NOUN
ejpam-5401	426	13	over	over	ADP
ejpam-5401	426	14	up	up	ADV
ejpam-5401	426	15	.	.	PUNCT
ejpam-5401	427	1	then	then	ADV
ejpam-5401	427	2	the	the	DET
ejpam-5401	427	3	pchs	pchs	ADJ
ejpam-5401	427	4	interior	interior	NOUN
ejpam-5401	427	5	of	of	ADP
ejpam-5401	427	6	pchs	pch	NOUN
ejpam-5401	427	7	set	set	NOUN
ejpam-5401	427	8	(	(	PUNCT
ejpam-5401	427	9	γ	γ	X
ejpam-5401	427	10	,	,	PUNCT
ejpam-5401	427	11	c	c	NOUN
ejpam-5401	427	12	,	,	PUNCT
ejpam-5401	427	13	v	v	NOUN
ejpam-5401	427	14	ψ	ψ	NOUN
ejpam-5401	427	15	)	)	PUNCT
ejpam-5401	427	16	pc	pc	NOUN
ejpam-5401	427	17	over	over	ADP
ejpam-5401	427	18	up	up	ADP
ejpam-5401	427	19	is	be	AUX
ejpam-5401	427	20	denoted	denote	VERB
ejpam-5401	427	21	by	by	ADP
ejpam-5401	427	22	(	(	PUNCT
ejpam-5401	427	23	γ	γ	X
ejpam-5401	427	24	,	,	PUNCT
ejpam-5401	427	25	c	c	NOUN
ejpam-5401	427	26	,	,	PUNCT
ejpam-5401	427	27	v	v	NOUN
ejpam-5401	427	28	ψ	ψ	NOUN
ejpam-5401	427	29	)	)	PUNCT
ejpam-5401	427	30	o	o	NOUN
ejpam-5401	427	31	pc	pc	NOUN
ejpam-5401	427	32	and	and	CCONJ
ejpam-5401	427	33	is	be	AUX
ejpam-5401	427	34	defined	define	VERB
ejpam-5401	427	35	as	as	ADP
ejpam-5401	427	36	the	the	DET
ejpam-5401	427	37	union	union	NOUN
ejpam-5401	427	38	of	of	ADP
ejpam-5401	427	39	all	all	DET
ejpam-5401	427	40	pchs	pch	NOUN
ejpam-5401	427	41	open	open	ADJ
ejpam-5401	427	42	sets	set	NOUN
ejpam-5401	427	43	contained	contain	VERB
ejpam-5401	427	44	in	in	ADP
ejpam-5401	427	45	(	(	PUNCT
ejpam-5401	427	46	γ	γ	X
ejpam-5401	427	47	,	,	PUNCT
ejpam-5401	427	48	c	c	NOUN
ejpam-5401	427	49	,	,	PUNCT
ejpam-5401	427	50	v	v	NOUN
ejpam-5401	427	51	ψ	ψ	NOUN
ejpam-5401	427	52	)	)	PUNCT
ejpam-5401	427	53	pc	pc	NOUN
ejpam-5401	427	54	.	.	PUNCT
ejpam-5401	428	1	in	in	ADP
ejpam-5401	428	2	other	other	ADJ
ejpam-5401	428	3	words	word	NOUN
ejpam-5401	428	4	:(	:(	PUNCT
ejpam-5401	428	5	γ	γ	X
ejpam-5401	428	6	,	,	PUNCT
ejpam-5401	428	7	c	c	NOUN
ejpam-5401	428	8	,	,	PUNCT
ejpam-5401	428	9	v	v	NOUN
ejpam-5401	428	10	ψ	ψ	NOUN
ejpam-5401	428	11	)	)	PUNCT
ejpam-5401	428	12	o	o	NOUN
ejpam-5401	428	13	pc	pc	NOUN
ejpam-5401	428	14	≍	≍	NOUN
ejpam-5401	428	15	=	=	PUNCT
ejpam-5401	428	16	≍	≍	PROPN
ejpam-5401	428	17	⊔	⊔	INTJ
ejpam-5401	428	18	{	{	PUNCT
ejpam-5401	428	19	(	(	PUNCT
ejpam-5401	428	20	γ∗	γ∗	PROPN
ejpam-5401	428	21	,	,	PUNCT
ejpam-5401	428	22	c∗	c∗	PROPN
ejpam-5401	428	23	,	,	PUNCT
ejpam-5401	428	24	v	v	NOUN
ejpam-5401	428	25	ψ	ψ	NOUN
ejpam-5401	428	26	)	)	PUNCT
ejpam-5401	428	27	pc	pc	NOUN
ejpam-5401	428	28	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5401	428	29	(	(	PUNCT
ejpam-5401	428	30	γ∗	γ∗	PROPN
ejpam-5401	428	31	,	,	PUNCT
ejpam-5401	428	32	c∗	c∗	PROPN
ejpam-5401	428	33	,	,	PUNCT
ejpam-5401	428	34	v	v	NOUN
ejpam-5401	428	35	ψ	ψ	NOUN
ejpam-5401	428	36	)	)	PUNCT
ejpam-5401	428	37	pc	pc	NOUN
ejpam-5401	428	38	∈	∈	NOUN
ejpam-5401	428	39	τpc	τpc	NOUN
ejpam-5401	428	40	,	,	PUNCT
ejpam-5401	428	41	(	(	PUNCT
ejpam-5401	428	42	γ∗	γ∗	PROPN
ejpam-5401	428	43	,	,	PUNCT
ejpam-5401	428	44	c∗	c∗	PROPN
ejpam-5401	428	45	,	,	PUNCT
ejpam-5401	428	46	v	v	NOUN
ejpam-5401	428	47	ψ	ψ	NOUN
ejpam-5401	428	48	)	)	PUNCT
ejpam-5401	428	49	pc	pc	NOUN
ejpam-5401	428	50	≍	≍	PROPN
ejpam-5401	428	51	⊑	⊑	X
ejpam-5401	428	52	(	(	PUNCT
ejpam-5401	428	53	γ	γ	X
ejpam-5401	428	54	,	,	PUNCT
ejpam-5401	428	55	c	c	NOUN
ejpam-5401	428	56	,	,	PUNCT
ejpam-5401	428	57	v	v	NOUN
ejpam-5401	428	58	ψ	ψ	NOUN
ejpam-5401	428	59	)	)	PUNCT
ejpam-5401	428	60	pc	pc	NOUN
ejpam-5401	428	61	}	}	PUNCT
ejpam-5401	428	62	proposition	proposition	NOUN
ejpam-5401	428	63	9	9	NUM
ejpam-5401	428	64	.	.	PUNCT
ejpam-5401	429	1	let	let	VERB
ejpam-5401	429	2	(	(	PUNCT
ejpam-5401	429	3	up	up	ADP
ejpam-5401	429	4	,	,	PUNCT
ejpam-5401	429	5	τpc	τpc	NOUN
ejpam-5401	429	6	,	,	PUNCT
ejpam-5401	429	7	vψ	vψ	AUX
ejpam-5401	429	8	)	)	PUNCT
ejpam-5401	429	9	be	be	AUX
ejpam-5401	429	10	a	a	DET
ejpam-5401	429	11	pchst	pchst	ADJ
ejpam-5401	429	12	space	space	NOUN
ejpam-5401	429	13	and	and	CCONJ
ejpam-5401	429	14	let	let	VERB
ejpam-5401	429	15	(	(	PUNCT
ejpam-5401	429	16	γ	γ	X
ejpam-5401	429	17	,	,	PUNCT
ejpam-5401	429	18	c	c	NOUN
ejpam-5401	429	19	,	,	PUNCT
ejpam-5401	429	20	v	v	NOUN
ejpam-5401	429	21	ψ	ψ	NOUN
ejpam-5401	429	22	)	)	PUNCT
ejpam-5401	429	23	pc	pc	NOUN
ejpam-5401	429	24	be	be	AUX
ejpam-5401	429	25	a	a	DET
ejpam-5401	429	26	pchs	pch	NOUN
ejpam-5401	429	27	set	set	VERB
ejpam-5401	429	28	over	over	ADP
ejpam-5401	429	29	up	up	ADP
ejpam-5401	429	30	.	.	PUNCT
ejpam-5401	430	1	then	then	ADV
ejpam-5401	430	2	:	:	PUNCT
ejpam-5401	430	3	(	(	PUNCT
ejpam-5401	430	4	i	i	NOUN
ejpam-5401	430	5	)	)	PUNCT
ejpam-5401	430	6	(	(	PUNCT
ejpam-5401	430	7	γ	γ	X
ejpam-5401	430	8	,	,	PUNCT
ejpam-5401	430	9	c	c	NOUN
ejpam-5401	430	10	,	,	PUNCT
ejpam-5401	430	11	v	v	NOUN
ejpam-5401	430	12	ψ	ψ	NOUN
ejpam-5401	430	13	)	)	PUNCT
ejpam-5401	430	14	o	o	NOUN
ejpam-5401	430	15	pc	pc	NOUN
ejpam-5401	430	16	is	be	AUX
ejpam-5401	430	17	the	the	DET
ejpam-5401	430	18	largest	large	ADJ
ejpam-5401	430	19	pchs	pch	NOUN
ejpam-5401	430	20	open	open	ADJ
ejpam-5401	430	21	set	set	NOUN
ejpam-5401	430	22	contained	contain	VERB
ejpam-5401	430	23	in	in	ADP
ejpam-5401	430	24	(	(	PUNCT
ejpam-5401	430	25	γ	γ	X
ejpam-5401	430	26	,	,	PUNCT
ejpam-5401	430	27	c	c	NOUN
ejpam-5401	430	28	,	,	PUNCT
ejpam-5401	430	29	v	v	NOUN
ejpam-5401	430	30	ψ	ψ	NOUN
ejpam-5401	430	31	)	)	PUNCT
ejpam-5401	430	32	pc	pc	NOUN
ejpam-5401	430	33	.	.	PUNCT
ejpam-5401	431	1	(	(	PUNCT
ejpam-5401	431	2	ii	ii	NOUN
ejpam-5401	431	3	)	)	PUNCT
ejpam-5401	431	4	(	(	PUNCT
ejpam-5401	431	5	γ	γ	X
ejpam-5401	431	6	,	,	PUNCT
ejpam-5401	431	7	c	c	NOUN
ejpam-5401	431	8	,	,	PUNCT
ejpam-5401	431	9	v	v	NOUN
ejpam-5401	431	10	ψ	ψ	NOUN
ejpam-5401	431	11	)	)	PUNCT
ejpam-5401	431	12	pc	pc	NOUN
ejpam-5401	431	13	is	be	AUX
ejpam-5401	431	14	a	a	DET
ejpam-5401	431	15	pchs	pch	NOUN
ejpam-5401	431	16	open	open	ADJ
ejpam-5401	431	17	set	set	VERB
ejpam-5401	431	18	if	if	SCONJ
ejpam-5401	431	19	and	and	CCONJ
ejpam-5401	431	20	only	only	ADV
ejpam-5401	431	21	if	if	SCONJ
ejpam-5401	431	22	(	(	PUNCT
ejpam-5401	431	23	γ	γ	X
ejpam-5401	431	24	,	,	PUNCT
ejpam-5401	431	25	c	c	NOUN
ejpam-5401	431	26	,	,	PUNCT
ejpam-5401	431	27	v	v	NOUN
ejpam-5401	431	28	ψ	ψ	NOUN
ejpam-5401	431	29	)	)	PUNCT
ejpam-5401	431	30	pc	pc	NOUN
ejpam-5401	431	31	≍	≍	NOUN
ejpam-5401	431	32	=	=	SYM
ejpam-5401	431	33	(	(	PUNCT
ejpam-5401	431	34	γ	γ	X
ejpam-5401	431	35	,	,	PUNCT
ejpam-5401	431	36	c	c	NOUN
ejpam-5401	431	37	,	,	PUNCT
ejpam-5401	431	38	v	v	NOUN
ejpam-5401	431	39	ψ	ψ	NOUN
ejpam-5401	431	40	)	)	PUNCT
ejpam-5401	431	41	o	o	NOUN
ejpam-5401	431	42	pc	pc	NOUN
ejpam-5401	431	43	.	.	PUNCT
ejpam-5401	432	1	proof	proof	NOUN
ejpam-5401	432	2	.	.	PUNCT
ejpam-5401	433	1	(	(	PUNCT
ejpam-5401	433	2	i	i	NOUN
ejpam-5401	433	3	)	)	PUNCT
ejpam-5401	433	4	follows	follow	VERB
ejpam-5401	433	5	from	from	ADP
ejpam-5401	433	6	the	the	DET
ejpam-5401	433	7	definition	definition	NOUN
ejpam-5401	433	8	.	.	PUNCT
ejpam-5401	434	1	(	(	PUNCT
ejpam-5401	434	2	ii	ii	NOUN
ejpam-5401	434	3	)	)	PUNCT
ejpam-5401	434	4	let	let	VERB
ejpam-5401	434	5	(	(	PUNCT
ejpam-5401	434	6	γ	γ	X
ejpam-5401	434	7	,	,	PUNCT
ejpam-5401	434	8	c	c	NOUN
ejpam-5401	434	9	,	,	PUNCT
ejpam-5401	434	10	v	v	NOUN
ejpam-5401	434	11	ψ	ψ	NOUN
ejpam-5401	434	12	)	)	PUNCT
ejpam-5401	434	13	pc	pc	NOUN
ejpam-5401	434	14	be	be	AUX
ejpam-5401	434	15	a	a	DET
ejpam-5401	434	16	pchs	pch	NOUN
ejpam-5401	434	17	open	open	ADJ
ejpam-5401	434	18	set	set	NOUN
ejpam-5401	434	19	.	.	PUNCT
ejpam-5401	435	1	then	then	ADV
ejpam-5401	435	2	(	(	PUNCT
ejpam-5401	435	3	γ	γ	X
ejpam-5401	435	4	,	,	PUNCT
ejpam-5401	435	5	c	c	NOUN
ejpam-5401	435	6	,	,	PUNCT
ejpam-5401	435	7	v	v	NOUN
ejpam-5401	435	8	ψ	ψ	NOUN
ejpam-5401	435	9	)	)	PUNCT
ejpam-5401	435	10	pc	pc	NOUN
ejpam-5401	435	11	is	be	AUX
ejpam-5401	435	12	surely	surely	ADV
ejpam-5401	435	13	identical	identical	ADJ
ejpam-5401	435	14	with	with	ADP
ejpam-5401	435	15	the	the	DET
ejpam-5401	435	16	largest	large	ADJ
ejpam-5401	435	17	pchs	pch	NOUN
ejpam-5401	435	18	open	open	ADJ
ejpam-5401	435	19	subset	subset	NOUN
ejpam-5401	435	20	of	of	ADP
ejpam-5401	435	21	(	(	PUNCT
ejpam-5401	435	22	γ	γ	X
ejpam-5401	435	23	,	,	PUNCT
ejpam-5401	435	24	c	c	NOUN
ejpam-5401	435	25	,	,	PUNCT
ejpam-5401	435	26	v	v	NOUN
ejpam-5401	435	27	ψ	ψ	NOUN
ejpam-5401	435	28	)	)	PUNCT
ejpam-5401	435	29	pc	pc	NOUN
ejpam-5401	435	30	,	,	PUNCT
ejpam-5401	435	31	but	but	CCONJ
ejpam-5401	435	32	by	by	ADP
ejpam-5401	435	33	part	part	NOUN
ejpam-5401	435	34	(	(	PUNCT
ejpam-5401	435	35	i	i	NOUN
ejpam-5401	435	36	)	)	PUNCT
ejpam-5401	435	37	,	,	PUNCT
ejpam-5401	435	38	(	(	PUNCT
ejpam-5401	435	39	γ	γ	X
ejpam-5401	435	40	,	,	PUNCT
ejpam-5401	435	41	c	c	NOUN
ejpam-5401	435	42	,	,	PUNCT
ejpam-5401	435	43	v	v	NOUN
ejpam-5401	435	44	ψ	ψ	NOUN
ejpam-5401	435	45	)	)	PUNCT
ejpam-5401	435	46	o	o	NOUN
ejpam-5401	435	47	pc	pc	NOUN
ejpam-5401	435	48	is	be	AUX
ejpam-5401	435	49	the	the	DET
ejpam-5401	435	50	largest	large	ADJ
ejpam-5401	435	51	pchs	pch	NOUN
ejpam-5401	435	52	open	open	ADJ
ejpam-5401	435	53	subset	subset	NOUN
ejpam-5401	435	54	of	of	ADP
ejpam-5401	435	55	(	(	PUNCT
ejpam-5401	435	56	γ	γ	X
ejpam-5401	435	57	,	,	PUNCT
ejpam-5401	435	58	c	c	NOUN
ejpam-5401	435	59	,	,	PUNCT
ejpam-5401	435	60	v	v	NOUN
ejpam-5401	435	61	ψ	ψ	NOUN
ejpam-5401	435	62	)	)	PUNCT
ejpam-5401	435	63	pc	pc	NOUN
ejpam-5401	435	64	.	.	PUNCT
ejpam-5401	436	1	hence	hence	ADV
ejpam-5401	436	2	,	,	PUNCT
ejpam-5401	436	3	(	(	PUNCT
ejpam-5401	436	4	γ	γ	X
ejpam-5401	436	5	,	,	PUNCT
ejpam-5401	436	6	c	c	NOUN
ejpam-5401	436	7	,	,	PUNCT
ejpam-5401	436	8	v	v	NOUN
ejpam-5401	436	9	ψ	ψ	NOUN
ejpam-5401	436	10	)	)	PUNCT
ejpam-5401	436	11	pc	pc	NOUN
ejpam-5401	436	12	≍	≍	NOUN
ejpam-5401	436	13	=	=	SYM
ejpam-5401	436	14	(	(	PUNCT
ejpam-5401	436	15	γ	γ	X
ejpam-5401	436	16	,	,	PUNCT
ejpam-5401	436	17	c	c	NOUN
ejpam-5401	436	18	,	,	PUNCT
ejpam-5401	436	19	v	v	NOUN
ejpam-5401	436	20	ψ	ψ	NOUN
ejpam-5401	436	21	)	)	PUNCT
ejpam-5401	436	22	o	o	NOUN
ejpam-5401	436	23	pc	pc	NOUN
ejpam-5401	436	24	.	.	PUNCT
ejpam-5401	437	1	conversely	conversely	ADV
ejpam-5401	437	2	,	,	PUNCT
ejpam-5401	437	3	let	let	VERB
ejpam-5401	437	4	(	(	PUNCT
ejpam-5401	437	5	γ	γ	X
ejpam-5401	437	6	,	,	PUNCT
ejpam-5401	437	7	c	c	NOUN
ejpam-5401	437	8	,	,	PUNCT
ejpam-5401	437	9	v	v	NOUN
ejpam-5401	437	10	ψ	ψ	NOUN
ejpam-5401	437	11	)	)	PUNCT
ejpam-5401	437	12	pc	pc	NOUN
ejpam-5401	437	13	≍	≍	NOUN
ejpam-5401	437	14	=	=	SYM
ejpam-5401	437	15	(	(	PUNCT
ejpam-5401	437	16	γ	γ	X
ejpam-5401	437	17	,	,	PUNCT
ejpam-5401	437	18	c	c	NOUN
ejpam-5401	437	19	,	,	PUNCT
ejpam-5401	437	20	v	v	NOUN
ejpam-5401	437	21	ψ	ψ	NOUN
ejpam-5401	437	22	)	)	PUNCT
ejpam-5401	437	23	o	o	NOUN
ejpam-5401	437	24	pc	pc	NOUN
ejpam-5401	437	25	,	,	PUNCT
ejpam-5401	437	26	by	by	ADP
ejpam-5401	437	27	part	part	NOUN
ejpam-5401	437	28	(	(	PUNCT
ejpam-5401	437	29	i	i	NOUN
ejpam-5401	437	30	)	)	PUNCT
ejpam-5401	437	31	,	,	PUNCT
ejpam-5401	437	32	(	(	PUNCT
ejpam-5401	437	33	γ	γ	X
ejpam-5401	437	34	,	,	PUNCT
ejpam-5401	437	35	c	c	NOUN
ejpam-5401	437	36	,	,	PUNCT
ejpam-5401	437	37	v	v	NOUN
ejpam-5401	437	38	ψ	ψ	NOUN
ejpam-5401	437	39	)	)	PUNCT
ejpam-5401	437	40	o	o	NOUN
ejpam-5401	437	41	pc	pc	NOUN
ejpam-5401	437	42	is	be	AUX
ejpam-5401	437	43	a	a	DET
ejpam-5401	437	44	pchs	pch	NOUN
ejpam-5401	437	45	open	open	ADJ
ejpam-5401	437	46	set	set	NOUN
ejpam-5401	437	47	.	.	PUNCT
ejpam-5401	438	1	therefore	therefore	ADV
ejpam-5401	438	2	,	,	PUNCT
ejpam-5401	438	3	(	(	PUNCT
ejpam-5401	438	4	γ	γ	X
ejpam-5401	438	5	,	,	PUNCT
ejpam-5401	438	6	c	c	NOUN
ejpam-5401	438	7	,	,	PUNCT
ejpam-5401	438	8	v	v	NOUN
ejpam-5401	438	9	ψ	ψ	NOUN
ejpam-5401	438	10	)	)	PUNCT
ejpam-5401	438	11	pc	pc	NOUN
ejpam-5401	438	12	is	be	AUX
ejpam-5401	438	13	also	also	ADV
ejpam-5401	438	14	a	a	DET
ejpam-5401	438	15	pchs	pch	NOUN
ejpam-5401	438	16	open	open	ADJ
ejpam-5401	438	17	set	set	NOUN
ejpam-5401	438	18	.	.	PUNCT
ejpam-5401	439	1	proposition	proposition	NOUN
ejpam-5401	439	2	10	10	NUM
ejpam-5401	439	3	.	.	PUNCT
ejpam-5401	440	1	let	let	VERB
ejpam-5401	440	2	(	(	PUNCT
ejpam-5401	440	3	up	up	ADP
ejpam-5401	440	4	,	,	PUNCT
ejpam-5401	440	5	τpc	τpc	NOUN
ejpam-5401	440	6	,	,	PUNCT
ejpam-5401	440	7	vψ	vψ	AUX
ejpam-5401	440	8	)	)	PUNCT
ejpam-5401	440	9	be	be	AUX
ejpam-5401	440	10	a	a	DET
ejpam-5401	440	11	pchst	pchst	ADJ
ejpam-5401	440	12	space	space	NOUN
ejpam-5401	440	13	over	over	ADP
ejpam-5401	440	14	up	up	ADV
ejpam-5401	440	15	and	and	CCONJ
ejpam-5401	440	16	let	let	VERB
ejpam-5401	440	17	(	(	PUNCT
ejpam-5401	440	18	γ1	γ1	PROPN
ejpam-5401	440	19	,	,	PUNCT
ejpam-5401	440	20	c	c	X
ejpam-5401	440	21	,	,	PUNCT
ejpam-5401	440	22	v	v	NOUN
ejpam-5401	440	23	ψ	ψ	NOUN
ejpam-5401	440	24	)	)	PUNCT
ejpam-5401	440	25	pc	pc	NOUN
ejpam-5401	440	26	,	,	PUNCT
ejpam-5401	440	27	(	(	PUNCT
ejpam-5401	440	28	γ2	γ2	ADJ
ejpam-5401	440	29	,	,	PUNCT
ejpam-5401	440	30	c	c	X
ejpam-5401	440	31	,	,	PUNCT
ejpam-5401	440	32	v	v	NOUN
ejpam-5401	440	33	ψ	ψ	NOUN
ejpam-5401	440	34	)	)	PUNCT
ejpam-5401	440	35	pc	pc	NOUN
ejpam-5401	440	36	be	be	VERB
ejpam-5401	440	37	two	two	NUM
ejpam-5401	440	38	pchs	pch	NOUN
ejpam-5401	440	39	sets	set	NOUN
ejpam-5401	440	40	over	over	ADP
ejpam-5401	440	41	up	up	ADP
ejpam-5401	440	42	,	,	PUNCT
ejpam-5401	440	43	then	then	ADV
ejpam-5401	440	44	:	:	PUNCT
ejpam-5401	440	45	(	(	PUNCT
ejpam-5401	440	46	i	i	NOUN
ejpam-5401	440	47	)	)	PUNCT
ejpam-5401	440	48	(	(	PUNCT
ejpam-5401	440	49	φ	φ	PROPN
ejpam-5401	440	50	,	,	PUNCT
ejpam-5401	440	51	c	c	NOUN
ejpam-5401	440	52	,	,	PUNCT
ejpam-5401	440	53	v	v	NOUN
ejpam-5401	440	54	ψ	ψ	NOUN
ejpam-5401	440	55	)	)	PUNCT
ejpam-5401	440	56	o	o	NOUN
ejpam-5401	440	57	pc	pc	NOUN
ejpam-5401	440	58	≍	≍	NOUN
ejpam-5401	440	59	=	=	SYM
ejpam-5401	440	60	(	(	PUNCT
ejpam-5401	440	61	φ	φ	PROPN
ejpam-5401	440	62	,	,	PUNCT
ejpam-5401	440	63	c	c	NOUN
ejpam-5401	440	64	,	,	PUNCT
ejpam-5401	440	65	v	v	NOUN
ejpam-5401	440	66	ψ	ψ	NOUN
ejpam-5401	440	67	)	)	PUNCT
ejpam-5401	440	68	pc	pc	NOUN
ejpam-5401	440	69	and	and	CCONJ
ejpam-5401	440	70	(	(	PUNCT
ejpam-5401	440	71	ψ	ψ	X
ejpam-5401	440	72	,	,	PUNCT
ejpam-5401	440	73	c	c	NOUN
ejpam-5401	440	74	,	,	PUNCT
ejpam-5401	440	75	v	v	NOUN
ejpam-5401	440	76	ψ	ψ	NOUN
ejpam-5401	440	77	)	)	PUNCT
ejpam-5401	440	78	o	o	NOUN
ejpam-5401	440	79	pc	pc	NOUN
ejpam-5401	440	80	≍	≍	NOUN
ejpam-5401	440	81	=	=	SYM
ejpam-5401	440	82	(	(	PUNCT
ejpam-5401	440	83	ψ	ψ	X
ejpam-5401	440	84	,	,	PUNCT
ejpam-5401	440	85	c	c	NOUN
ejpam-5401	440	86	,	,	PUNCT
ejpam-5401	440	87	v	v	NOUN
ejpam-5401	440	88	ψ	ψ	NOUN
ejpam-5401	440	89	)	)	PUNCT
ejpam-5401	440	90	pc	pc	NOUN
ejpam-5401	440	91	.	.	PUNCT
ejpam-5401	441	1	(	(	PUNCT
ejpam-5401	441	2	ii	ii	NOUN
ejpam-5401	441	3	)	)	PUNCT
ejpam-5401	441	4	(	(	PUNCT
ejpam-5401	441	5	γ1	γ1	PROPN
ejpam-5401	441	6	,	,	PUNCT
ejpam-5401	441	7	c1	c1	PROPN
ejpam-5401	441	8	,	,	PUNCT
ejpam-5401	441	9	v	v	NOUN
ejpam-5401	441	10	ψ	ψ	NOUN
ejpam-5401	441	11	)	)	PUNCT
ejpam-5401	441	12	o	o	NOUN
ejpam-5401	441	13	pc	pc	NOUN
ejpam-5401	441	14	≍	≍	PROPN
ejpam-5401	441	15	⊑	⊑	X
ejpam-5401	441	16	(	(	PUNCT
ejpam-5401	441	17	γ1	γ1	PROPN
ejpam-5401	441	18	,	,	PUNCT
ejpam-5401	441	19	c1	c1	PROPN
ejpam-5401	441	20	,	,	PUNCT
ejpam-5401	441	21	v	v	NOUN
ejpam-5401	441	22	ψ	ψ	NOUN
ejpam-5401	441	23	)	)	PUNCT
ejpam-5401	441	24	pc	pc	NOUN
ejpam-5401	441	25	.	.	PUNCT
ejpam-5401	442	1	(	(	PUNCT
ejpam-5401	442	2	iii	iii	NOUN
ejpam-5401	442	3	)	)	PUNCT
ejpam-5401	442	4	(	(	PUNCT
ejpam-5401	442	5	γ1	γ1	PROPN
ejpam-5401	442	6	,	,	PUNCT
ejpam-5401	442	7	c1	c1	PROPN
ejpam-5401	442	8	,	,	PUNCT
ejpam-5401	442	9	v	v	NOUN
ejpam-5401	442	10	ψ	ψ	NOUN
ejpam-5401	442	11	)	)	PUNCT
ejpam-5401	442	12	pc	pc	NOUN
ejpam-5401	442	13	≍	≍	PROPN
ejpam-5401	442	14	⊑	⊑	X
ejpam-5401	442	15	(	(	PUNCT
ejpam-5401	442	16	γ2	γ2	PROPN
ejpam-5401	442	17	,	,	PUNCT
ejpam-5401	442	18	c2	c2	PROPN
ejpam-5401	442	19	,	,	PUNCT
ejpam-5401	442	20	v	v	NOUN
ejpam-5401	442	21	ψ	ψ	NOUN
ejpam-5401	442	22	)	)	PUNCT
ejpam-5401	442	23	pc	pc	NOUN
ejpam-5401	442	24	implies	imply	VERB
ejpam-5401	442	25	(	(	PUNCT
ejpam-5401	442	26	γ1	γ1	PROPN
ejpam-5401	442	27	,	,	PUNCT
ejpam-5401	442	28	c1	c1	PROPN
ejpam-5401	442	29	,	,	PUNCT
ejpam-5401	442	30	v	v	NOUN
ejpam-5401	442	31	ψ	ψ	NOUN
ejpam-5401	442	32	)	)	PUNCT
ejpam-5401	442	33	o	o	NOUN
ejpam-5401	442	34	pc	pc	NOUN
ejpam-5401	442	35	≍	≍	PROPN
ejpam-5401	442	36	⊑	⊑	X
ejpam-5401	442	37	(	(	PUNCT
ejpam-5401	442	38	γ2	γ2	PROPN
ejpam-5401	442	39	,	,	PUNCT
ejpam-5401	442	40	c2	c2	PROPN
ejpam-5401	442	41	,	,	PUNCT
ejpam-5401	442	42	v	v	NOUN
ejpam-5401	442	43	ψ	ψ	NOUN
ejpam-5401	442	44	)	)	PUNCT
ejpam-5401	442	45	o	o	NOUN
ejpam-5401	442	46	pc	pc	NOUN
ejpam-5401	442	47	.	.	PUNCT
ejpam-5401	443	1	(	(	PUNCT
ejpam-5401	443	2	iv	iv	X
ejpam-5401	443	3	)	)	PUNCT
ejpam-5401	443	4	(	(	PUNCT
ejpam-5401	443	5	γ1	γ1	PROPN
ejpam-5401	443	6	,	,	PUNCT
ejpam-5401	443	7	c1	c1	PROPN
ejpam-5401	443	8	,	,	PUNCT
ejpam-5401	443	9	v	v	NOUN
ejpam-5401	443	10	ψ	ψ	NOUN
ejpam-5401	443	11	)	)	PUNCT
ejpam-5401	443	12	o	o	NOUN
ejpam-5401	443	13	pc	pc	NOUN
ejpam-5401	443	14	≍	≍	VERB
ejpam-5401	443	15	⊓	⊓	PROPN
ejpam-5401	443	16	(	(	PUNCT
ejpam-5401	443	17	γ2	γ2	PROPN
ejpam-5401	443	18	,	,	PUNCT
ejpam-5401	443	19	c2	c2	PROPN
ejpam-5401	443	20	,	,	PUNCT
ejpam-5401	443	21	v	v	NOUN
ejpam-5401	443	22	ψ	ψ	NOUN
ejpam-5401	443	23	)	)	PUNCT
ejpam-5401	443	24	o	o	NOUN
ejpam-5401	443	25	pc	pc	NOUN
ejpam-5401	443	26	≍	≍	NOUN
ejpam-5401	444	1	=	=	PUNCT
ejpam-5401	444	2	[	[	X
ejpam-5401	444	3	(	(	PUNCT
ejpam-5401	444	4	γ1	γ1	PROPN
ejpam-5401	444	5	,	,	PUNCT
ejpam-5401	444	6	c1	c1	PROPN
ejpam-5401	444	7	,	,	PUNCT
ejpam-5401	444	8	v	v	NOUN
ejpam-5401	444	9	ψ	ψ	NOUN
ejpam-5401	444	10	)	)	PUNCT
ejpam-5401	444	11	pc	pc	NOUN
ejpam-5401	444	12	≍	≍	VERB
ejpam-5401	444	13	⊓	⊓	PROPN
ejpam-5401	444	14	(	(	PUNCT
ejpam-5401	444	15	γ2	γ2	PROPN
ejpam-5401	444	16	,	,	PUNCT
ejpam-5401	444	17	c2	c2	PROPN
ejpam-5401	444	18	,	,	PUNCT
ejpam-5401	444	19	v	v	NOUN
ejpam-5401	444	20	ψ	ψ	NOUN
ejpam-5401	444	21	)	)	PUNCT
ejpam-5401	444	22	pc	pc	NOUN
ejpam-5401	444	23	]	]	X
ejpam-5401	444	24	o	o	X
ejpam-5401	444	25	.	.	PUNCT
ejpam-5401	445	1	(	(	PUNCT
ejpam-5401	445	2	v	v	NOUN
ejpam-5401	445	3	)	)	PUNCT
ejpam-5401	445	4	(	(	PUNCT
ejpam-5401	445	5	γ1	γ1	PROPN
ejpam-5401	445	6	,	,	PUNCT
ejpam-5401	445	7	c1	c1	PROPN
ejpam-5401	445	8	,	,	PUNCT
ejpam-5401	445	9	v	v	NOUN
ejpam-5401	445	10	ψ	ψ	NOUN
ejpam-5401	445	11	)	)	PUNCT
ejpam-5401	445	12	o	o	NOUN
ejpam-5401	445	13	pc	pc	NOUN
ejpam-5401	445	14	≍	≍	VERB
ejpam-5401	446	1	⊔	⊔	PROPN
ejpam-5401	446	2	(	(	PUNCT
ejpam-5401	446	3	γ2	γ2	PROPN
ejpam-5401	446	4	,	,	PUNCT
ejpam-5401	446	5	c2	c2	PROPN
ejpam-5401	446	6	,	,	PUNCT
ejpam-5401	446	7	v	v	NOUN
ejpam-5401	446	8	ψ	ψ	NOUN
ejpam-5401	446	9	)	)	PUNCT
ejpam-5401	446	10	o	o	NOUN
ejpam-5401	446	11	pc	pc	NOUN
ejpam-5401	446	12	≍	≍	NOUN
ejpam-5401	446	13	⊑	⊑	X
ejpam-5401	447	1	[	[	X
ejpam-5401	447	2	(	(	PUNCT
ejpam-5401	447	3	γ1	γ1	PROPN
ejpam-5401	447	4	,	,	PUNCT
ejpam-5401	447	5	c1	c1	PROPN
ejpam-5401	447	6	,	,	PUNCT
ejpam-5401	447	7	v	v	NOUN
ejpam-5401	447	8	ψ	ψ	NOUN
ejpam-5401	447	9	)	)	PUNCT
ejpam-5401	447	10	pc	pc	NOUN
ejpam-5401	447	11	≍	≍	PROPN
ejpam-5401	447	12	⊔	⊔	PROPN
ejpam-5401	447	13	(	(	PUNCT
ejpam-5401	447	14	γ2	γ2	PROPN
ejpam-5401	447	15	,	,	PUNCT
ejpam-5401	447	16	c2	c2	PROPN
ejpam-5401	447	17	,	,	PUNCT
ejpam-5401	447	18	v	v	NOUN
ejpam-5401	447	19	ψ	ψ	NOUN
ejpam-5401	447	20	)	)	PUNCT
ejpam-5401	447	21	pc	pc	NOUN
ejpam-5401	447	22	]	]	X
ejpam-5401	447	23	o	o	X
ejpam-5401	447	24	.	.	PUNCT
ejpam-5401	448	1	(	(	PUNCT
ejpam-5401	448	2	vi	vi	X
ejpam-5401	448	3	)	)	PUNCT
ejpam-5401	449	1	[	[	X
ejpam-5401	449	2	(	(	PUNCT
ejpam-5401	449	3	γ1	γ1	PROPN
ejpam-5401	449	4	,	,	PUNCT
ejpam-5401	449	5	c1	c1	PROPN
ejpam-5401	449	6	,	,	PUNCT
ejpam-5401	449	7	v	v	NOUN
ejpam-5401	449	8	ψ	ψ	NOUN
ejpam-5401	449	9	)	)	PUNCT
ejpam-5401	449	10	o	o	NOUN
ejpam-5401	449	11	pc	pc	NOUN
ejpam-5401	450	1	]	]	X
ejpam-5401	450	2	o	o	X
ejpam-5401	450	3	≍	≍	PROPN
ejpam-5401	450	4	=	=	SYM
ejpam-5401	450	5	(	(	PUNCT
ejpam-5401	450	6	γ1	γ1	PROPN
ejpam-5401	450	7	,	,	PUNCT
ejpam-5401	450	8	c1	c1	PROPN
ejpam-5401	450	9	,	,	PUNCT
ejpam-5401	450	10	v	v	NOUN
ejpam-5401	450	11	ψ	ψ	NOUN
ejpam-5401	450	12	)	)	PUNCT
ejpam-5401	450	13	o	o	NOUN
ejpam-5401	450	14	pc	pc	NOUN
ejpam-5401	450	15	.	.	PUNCT
ejpam-5401	451	1	n.	n.	PROPN
ejpam-5401	451	2	k.	k.	PROPN
ejpam-5401	451	3	ahmed	ahmed	PROPN
ejpam-5401	451	4	,	,	PUNCT
ejpam-5401	451	5	o.	o.	PROPN
ejpam-5401	451	6	t.	t.	PROPN
ejpam-5401	451	7	pirbal	pirbal	PROPN
ejpam-5401	451	8	/	/	SYM
ejpam-5401	451	9	eur	eur	PROPN
ejpam-5401	451	10	.	.	PUNCT
ejpam-5401	452	1	j.	j.	PROPN
ejpam-5401	452	2	pure	pure	PROPN
ejpam-5401	452	3	appl	appl	PROPN
ejpam-5401	452	4	.	.	PROPN
ejpam-5401	452	5	math	math	PROPN
ejpam-5401	452	6	,	,	PUNCT
ejpam-5401	452	7	17	17	NUM
ejpam-5401	452	8	(	(	PUNCT
ejpam-5401	452	9	4	4	NUM
ejpam-5401	452	10	)	)	PUNCT
ejpam-5401	452	11	(	(	PUNCT
ejpam-5401	452	12	2024	2024	NUM
ejpam-5401	452	13	)	)	PUNCT
ejpam-5401	452	14	,	,	PUNCT
ejpam-5401	452	15	3043	3043	NUM
ejpam-5401	452	16	-	-	SYM
ejpam-5401	452	17	3060	3060	NUM
ejpam-5401	452	18	3057	3057	NUM
ejpam-5401	452	19	proof	proof	NOUN
ejpam-5401	452	20	.	.	PUNCT
ejpam-5401	453	1	(	(	PUNCT
ejpam-5401	453	2	i	i	NOUN
ejpam-5401	453	3	)	)	PUNCT
ejpam-5401	453	4	obvious	obvious	ADJ
ejpam-5401	453	5	.	.	PUNCT
ejpam-5401	454	1	(	(	PUNCT
ejpam-5401	454	2	ii	ii	NOUN
ejpam-5401	454	3	)	)	PUNCT
ejpam-5401	454	4	let	let	VERB
ejpam-5401	454	5	x	x	X
ejpam-5401	454	6	∈	∈	PROPN
ejpam-5401	454	7	(	(	PUNCT
ejpam-5401	454	8	γ1	γ1	PROPN
ejpam-5401	454	9	,	,	PUNCT
ejpam-5401	454	10	c1	c1	PROPN
ejpam-5401	454	11	,	,	PUNCT
ejpam-5401	454	12	v	v	NOUN
ejpam-5401	454	13	ψ	ψ	NOUN
ejpam-5401	454	14	)	)	PUNCT
ejpam-5401	454	15	o	o	NOUN
ejpam-5401	454	16	pc	pc	NOUN
ejpam-5401	454	17	,	,	PUNCT
ejpam-5401	454	18	then	then	ADV
ejpam-5401	454	19	x	x	PUNCT
ejpam-5401	454	20	is	be	AUX
ejpam-5401	454	21	a	a	DET
ejpam-5401	454	22	pchs	pchs	ADJ
ejpam-5401	454	23	interior	interior	ADJ
ejpam-5401	454	24	point	point	NOUN
ejpam-5401	454	25	of	of	ADP
ejpam-5401	454	26	(	(	PUNCT
ejpam-5401	454	27	γ1	γ1	PROPN
ejpam-5401	454	28	,	,	PUNCT
ejpam-5401	454	29	c1	c1	PROPN
ejpam-5401	454	30	,	,	PUNCT
ejpam-5401	454	31	v	v	NOUN
ejpam-5401	454	32	ψ	ψ	NOUN
ejpam-5401	454	33	)	)	PUNCT
ejpam-5401	454	34	pc	pc	NOUN
ejpam-5401	454	35	and	and	CCONJ
ejpam-5401	454	36	this	this	PRON
ejpam-5401	454	37	implies	imply	VERB
ejpam-5401	454	38	that	that	SCONJ
ejpam-5401	454	39	(	(	PUNCT
ejpam-5401	454	40	γ1	γ1	PROPN
ejpam-5401	454	41	,	,	PUNCT
ejpam-5401	454	42	c1	c1	PROPN
ejpam-5401	454	43	,	,	PUNCT
ejpam-5401	454	44	v	v	NOUN
ejpam-5401	454	45	ψ	ψ	NOUN
ejpam-5401	454	46	)	)	PUNCT
ejpam-5401	454	47	pc	pc	NOUN
ejpam-5401	454	48	is	be	AUX
ejpam-5401	454	49	pchs	pchs	ADJ
ejpam-5401	454	50	neighborhood	neighborhood	NOUN
ejpam-5401	454	51	of	of	ADP
ejpam-5401	454	52	x.	x.	NOUN
ejpam-5401	454	53	then	then	ADV
ejpam-5401	454	54	,	,	PUNCT
ejpam-5401	454	55	x	x	PUNCT
ejpam-5401	454	56	∈	∈	PROPN
ejpam-5401	454	57	(	(	PUNCT
ejpam-5401	454	58	γ1	γ1	PROPN
ejpam-5401	454	59	,	,	PUNCT
ejpam-5401	454	60	c1	c1	PROPN
ejpam-5401	454	61	,	,	PUNCT
ejpam-5401	454	62	v	v	NOUN
ejpam-5401	454	63	ψ	ψ	NOUN
ejpam-5401	454	64	)	)	PUNCT
ejpam-5401	454	65	pc	pc	NOUN
ejpam-5401	454	66	.	.	PUNCT
ejpam-5401	455	1	hence	hence	ADV
ejpam-5401	455	2	,	,	PUNCT
ejpam-5401	455	3	(	(	PUNCT
ejpam-5401	455	4	γ1	γ1	PROPN
ejpam-5401	455	5	,	,	PUNCT
ejpam-5401	455	6	c1	c1	PROPN
ejpam-5401	455	7	,	,	PUNCT
ejpam-5401	455	8	v	v	NOUN
ejpam-5401	455	9	ψ	ψ	NOUN
ejpam-5401	455	10	)	)	PUNCT
ejpam-5401	455	11	o	o	NOUN
ejpam-5401	455	12	pc	pc	NOUN
ejpam-5401	455	13	≍	≍	PROPN
ejpam-5401	455	14	⊑	⊑	X
ejpam-5401	455	15	(	(	PUNCT
ejpam-5401	455	16	γ1	γ1	PROPN
ejpam-5401	455	17	,	,	PUNCT
ejpam-5401	455	18	c1	c1	PROPN
ejpam-5401	455	19	,	,	PUNCT
ejpam-5401	455	20	v	v	NOUN
ejpam-5401	455	21	ψ	ψ	NOUN
ejpam-5401	455	22	)	)	PUNCT
ejpam-5401	455	23	pc	pc	NOUN
ejpam-5401	455	24	.	.	PUNCT
ejpam-5401	456	1	(	(	PUNCT
ejpam-5401	456	2	iii	iii	X
ejpam-5401	456	3	)	)	PUNCT
ejpam-5401	456	4	let	let	VERB
ejpam-5401	456	5	x	x	X
ejpam-5401	456	6	∈	∈	PROPN
ejpam-5401	456	7	(	(	PUNCT
ejpam-5401	456	8	γ1	γ1	PROPN
ejpam-5401	456	9	,	,	PUNCT
ejpam-5401	456	10	c1	c1	PROPN
ejpam-5401	456	11	,	,	PUNCT
ejpam-5401	456	12	v	v	NOUN
ejpam-5401	456	13	ψ	ψ	NOUN
ejpam-5401	456	14	)	)	PUNCT
ejpam-5401	456	15	o	o	NOUN
ejpam-5401	456	16	pc	pc	NOUN
ejpam-5401	456	17	.	.	PUNCT
ejpam-5401	457	1	then	then	ADV
ejpam-5401	457	2	x	x	X
ejpam-5401	457	3	is	be	AUX
ejpam-5401	457	4	a	a	DET
ejpam-5401	457	5	pchs	pchs	ADJ
ejpam-5401	457	6	interior	interior	ADJ
ejpam-5401	457	7	point	point	NOUN
ejpam-5401	457	8	of	of	ADP
ejpam-5401	457	9	(	(	PUNCT
ejpam-5401	457	10	γ1	γ1	PROPN
ejpam-5401	457	11	,	,	PUNCT
ejpam-5401	457	12	c1	c1	PROPN
ejpam-5401	457	13	,	,	PUNCT
ejpam-5401	457	14	v	v	NOUN
ejpam-5401	457	15	ψ	ψ	NOUN
ejpam-5401	457	16	)	)	PUNCT
ejpam-5401	457	17	pc	pc	NOUN
ejpam-5401	458	1	and	and	CCONJ
ejpam-5401	458	2	so	so	ADV
ejpam-5401	458	3	(	(	PUNCT
ejpam-5401	458	4	γ1	γ1	PROPN
ejpam-5401	458	5	,	,	PUNCT
ejpam-5401	458	6	c1	c1	PROPN
ejpam-5401	458	7	,	,	PUNCT
ejpam-5401	458	8	v	v	NOUN
ejpam-5401	458	9	ψ	ψ	NOUN
ejpam-5401	458	10	)	)	PUNCT
ejpam-5401	458	11	pc	pc	NOUN
ejpam-5401	458	12	is	be	AUX
ejpam-5401	458	13	pchs	pchs	ADJ
ejpam-5401	458	14	neighborhood	neighborhood	NOUN
ejpam-5401	458	15	of	of	ADP
ejpam-5401	458	16	x.	x.	NOUN
ejpam-5401	458	17	since	since	SCONJ
ejpam-5401	458	18	(	(	PUNCT
ejpam-5401	458	19	γ1	γ1	PROPN
ejpam-5401	458	20	,	,	PUNCT
ejpam-5401	458	21	c1	c1	PROPN
ejpam-5401	458	22	,	,	PUNCT
ejpam-5401	458	23	v	v	NOUN
ejpam-5401	458	24	ψ	ψ	NOUN
ejpam-5401	458	25	)	)	PUNCT
ejpam-5401	458	26	pc	pc	NOUN
ejpam-5401	458	27	≍	≍	PROPN
ejpam-5401	458	28	⊑	⊑	X
ejpam-5401	458	29	(	(	PUNCT
ejpam-5401	458	30	γ2	γ2	PROPN
ejpam-5401	458	31	,	,	PUNCT
ejpam-5401	458	32	c2	c2	PROPN
ejpam-5401	458	33	,	,	PUNCT
ejpam-5401	458	34	v	v	NOUN
ejpam-5401	458	35	ψ	ψ	NOUN
ejpam-5401	458	36	)	)	PUNCT
ejpam-5401	458	37	pc	pc	NOUN
ejpam-5401	458	38	,	,	PUNCT
ejpam-5401	458	39	so	so	CCONJ
ejpam-5401	458	40	(	(	PUNCT
ejpam-5401	458	41	γ2	γ2	PROPN
ejpam-5401	458	42	,	,	PUNCT
ejpam-5401	458	43	c2	c2	PROPN
ejpam-5401	458	44	,	,	PUNCT
ejpam-5401	458	45	v	v	NOUN
ejpam-5401	458	46	ψ	ψ	NOUN
ejpam-5401	458	47	)	)	PUNCT
ejpam-5401	458	48	pc	pc	NOUN
ejpam-5401	458	49	is	be	AUX
ejpam-5401	458	50	also	also	ADV
ejpam-5401	458	51	a	a	DET
ejpam-5401	458	52	pchs	pchs	ADJ
ejpam-5401	458	53	neighborhood	neighborhood	NOUN
ejpam-5401	458	54	of	of	ADP
ejpam-5401	458	55	x.	x.	NOUN
ejpam-5401	458	56	this	this	PRON
ejpam-5401	458	57	implies	imply	VERB
ejpam-5401	458	58	that	that	SCONJ
ejpam-5401	458	59	x	x	SYM
ejpam-5401	458	60	∈	∈	PROPN
ejpam-5401	458	61	(	(	PUNCT
ejpam-5401	458	62	γ2	γ2	PROPN
ejpam-5401	458	63	,	,	PUNCT
ejpam-5401	458	64	c2	c2	PROPN
ejpam-5401	458	65	,	,	PUNCT
ejpam-5401	458	66	v	v	NOUN
ejpam-5401	458	67	ψ	ψ	NOUN
ejpam-5401	458	68	)	)	PUNCT
ejpam-5401	458	69	o	o	NOUN
ejpam-5401	458	70	pc	pc	NOUN
ejpam-5401	458	71	.	.	PUNCT
ejpam-5401	459	1	thus	thus	ADV
ejpam-5401	459	2	,	,	PUNCT
ejpam-5401	459	3	(	(	PUNCT
ejpam-5401	459	4	γ1	γ1	PROPN
ejpam-5401	459	5	,	,	PUNCT
ejpam-5401	459	6	c1	c1	PROPN
ejpam-5401	459	7	,	,	PUNCT
ejpam-5401	459	8	v	v	NOUN
ejpam-5401	459	9	ψ	ψ	NOUN
ejpam-5401	459	10	)	)	PUNCT
ejpam-5401	459	11	o	o	NOUN
ejpam-5401	459	12	pc	pc	NOUN
ejpam-5401	459	13	≍	≍	PROPN
ejpam-5401	459	14	⊑	⊑	X
ejpam-5401	459	15	(	(	PUNCT
ejpam-5401	459	16	γ2	γ2	PROPN
ejpam-5401	459	17	,	,	PUNCT
ejpam-5401	459	18	c2	c2	PROPN
ejpam-5401	459	19	,	,	PUNCT
ejpam-5401	459	20	v	v	NOUN
ejpam-5401	459	21	ψ	ψ	NOUN
ejpam-5401	459	22	)	)	PUNCT
ejpam-5401	459	23	o	o	NOUN
ejpam-5401	459	24	pc	pc	NOUN
ejpam-5401	459	25	.	.	PUNCT
ejpam-5401	460	1	(	(	PUNCT
ejpam-5401	460	2	iv	iv	X
ejpam-5401	460	3	)	)	PUNCT
ejpam-5401	460	4	since	since	SCONJ
ejpam-5401	460	5	[	[	X
ejpam-5401	460	6	(	(	PUNCT
ejpam-5401	460	7	γ1	γ1	PROPN
ejpam-5401	460	8	,	,	PUNCT
ejpam-5401	460	9	c1	c1	PROPN
ejpam-5401	460	10	,	,	PUNCT
ejpam-5401	460	11	v	v	NOUN
ejpam-5401	460	12	ψ	ψ	NOUN
ejpam-5401	460	13	)	)	PUNCT
ejpam-5401	460	14	pc	pc	NOUN
ejpam-5401	460	15	≍	≍	VERB
ejpam-5401	460	16	⊓	⊓	PROPN
ejpam-5401	460	17	(	(	PUNCT
ejpam-5401	460	18	γ2	γ2	PROPN
ejpam-5401	460	19	,	,	PUNCT
ejpam-5401	460	20	c2	c2	PROPN
ejpam-5401	460	21	,	,	PUNCT
ejpam-5401	460	22	v	v	NOUN
ejpam-5401	460	23	ψ	ψ	NOUN
ejpam-5401	460	24	)	)	PUNCT
ejpam-5401	460	25	pc	pc	NOUN
ejpam-5401	460	26	]	]	PUNCT
ejpam-5401	460	27	≍	≍	PROPN
ejpam-5401	460	28	⊑	⊑	X
ejpam-5401	460	29	(	(	PUNCT
ejpam-5401	460	30	γ1	γ1	PROPN
ejpam-5401	460	31	,	,	PUNCT
ejpam-5401	460	32	c2	c2	PROPN
ejpam-5401	460	33	,	,	PUNCT
ejpam-5401	460	34	v	v	NOUN
ejpam-5401	460	35	ψ	ψ	NOUN
ejpam-5401	460	36	)	)	PUNCT
ejpam-5401	460	37	pc	pc	NOUN
ejpam-5401	460	38	and	and	CCONJ
ejpam-5401	460	39	[	[	X
ejpam-5401	460	40	(	(	PUNCT
ejpam-5401	460	41	γ1	γ1	PROPN
ejpam-5401	460	42	,	,	PUNCT
ejpam-5401	460	43	c1	c1	PROPN
ejpam-5401	460	44	,	,	PUNCT
ejpam-5401	460	45	v	v	NOUN
ejpam-5401	460	46	ψ	ψ	NOUN
ejpam-5401	460	47	)	)	PUNCT
ejpam-5401	460	48	pc	pc	NOUN
ejpam-5401	460	49	≍	≍	VERB
ejpam-5401	460	50	⊓	⊓	PROPN
ejpam-5401	460	51	(	(	PUNCT
ejpam-5401	460	52	γ2	γ2	PROPN
ejpam-5401	460	53	,	,	PUNCT
ejpam-5401	460	54	c2	c2	PROPN
ejpam-5401	460	55	,	,	PUNCT
ejpam-5401	460	56	v	v	NOUN
ejpam-5401	460	57	ψ	ψ	NOUN
ejpam-5401	460	58	)	)	PUNCT
ejpam-5401	460	59	pc	pc	NOUN
ejpam-5401	460	60	]	]	PUNCT
ejpam-5401	460	61	≍	≍	PROPN
ejpam-5401	460	62	⊑	⊑	X
ejpam-5401	460	63	(	(	PUNCT
ejpam-5401	460	64	γ2	γ2	PROPN
ejpam-5401	460	65	,	,	PUNCT
ejpam-5401	460	66	c2	c2	PROPN
ejpam-5401	460	67	,	,	PUNCT
ejpam-5401	460	68	v	v	NOUN
ejpam-5401	460	69	ψ	ψ	NOUN
ejpam-5401	460	70	)	)	PUNCT
ejpam-5401	460	71	pc	pc	NOUN
ejpam-5401	460	72	,	,	PUNCT
ejpam-5401	461	1	by	by	ADP
ejpam-5401	461	2	part	part	NOUN
ejpam-5401	461	3	(	(	PUNCT
ejpam-5401	461	4	ii	ii	NOUN
ejpam-5401	461	5	)	)	PUNCT
ejpam-5401	461	6	,	,	PUNCT
ejpam-5401	461	7	we	we	PRON
ejpam-5401	461	8	have	have	VERB
ejpam-5401	461	9	[	[	X
ejpam-5401	461	10	(	(	PUNCT
ejpam-5401	461	11	γ1	γ1	PROPN
ejpam-5401	461	12	,	,	PUNCT
ejpam-5401	461	13	c1	c1	PROPN
ejpam-5401	461	14	,	,	PUNCT
ejpam-5401	461	15	v	v	NOUN
ejpam-5401	461	16	ψ	ψ	NOUN
ejpam-5401	461	17	)	)	PUNCT
ejpam-5401	461	18	pc	pc	NOUN
ejpam-5401	461	19	≍	≍	VERB
ejpam-5401	461	20	⊓	⊓	PROPN
ejpam-5401	461	21	(	(	PUNCT
ejpam-5401	461	22	γ2	γ2	PROPN
ejpam-5401	461	23	,	,	PUNCT
ejpam-5401	461	24	c2	c2	PROPN
ejpam-5401	461	25	,	,	PUNCT
ejpam-5401	461	26	v	v	NOUN
ejpam-5401	461	27	ψ	ψ	NOUN
ejpam-5401	461	28	)	)	PUNCT
ejpam-5401	461	29	pc	pc	NOUN
ejpam-5401	462	1	]	]	PUNCT
ejpam-5401	462	2	o	o	X
ejpam-5401	462	3	≍	≍	PROPN
ejpam-5401	462	4	⊑	⊑	X
ejpam-5401	462	5	(	(	PUNCT
ejpam-5401	462	6	γ1	γ1	PROPN
ejpam-5401	462	7	,	,	PUNCT
ejpam-5401	462	8	c2	c2	PROPN
ejpam-5401	462	9	,	,	PUNCT
ejpam-5401	462	10	v	v	NOUN
ejpam-5401	462	11	ψ	ψ	NOUN
ejpam-5401	462	12	)	)	PUNCT
ejpam-5401	462	13	o	o	NOUN
ejpam-5401	462	14	pc	pc	NOUN
ejpam-5401	462	15	and	and	CCONJ
ejpam-5401	462	16	[	[	X
ejpam-5401	462	17	(	(	PUNCT
ejpam-5401	462	18	γ1	γ1	PROPN
ejpam-5401	462	19	,	,	PUNCT
ejpam-5401	462	20	c1	c1	PROPN
ejpam-5401	462	21	,	,	PUNCT
ejpam-5401	462	22	v	v	NOUN
ejpam-5401	462	23	ψ	ψ	NOUN
ejpam-5401	462	24	)	)	PUNCT
ejpam-5401	462	25	pc	pc	NOUN
ejpam-5401	462	26	≍	≍	VERB
ejpam-5401	462	27	⊓	⊓	PROPN
ejpam-5401	462	28	(	(	PUNCT
ejpam-5401	462	29	γ2	γ2	PROPN
ejpam-5401	462	30	,	,	PUNCT
ejpam-5401	462	31	c2	c2	PROPN
ejpam-5401	462	32	,	,	PUNCT
ejpam-5401	462	33	v	v	NOUN
ejpam-5401	462	34	ψ	ψ	NOUN
ejpam-5401	462	35	)	)	PUNCT
ejpam-5401	462	36	pc	pc	NOUN
ejpam-5401	462	37	]	]	PUNCT
ejpam-5401	462	38	o	o	X
ejpam-5401	462	39	≍	≍	PROPN
ejpam-5401	462	40	⊑	⊑	X
ejpam-5401	462	41	(	(	PUNCT
ejpam-5401	462	42	γ2	γ2	PROPN
ejpam-5401	462	43	,	,	PUNCT
ejpam-5401	462	44	c2	c2	PROPN
ejpam-5401	462	45	,	,	PUNCT
ejpam-5401	462	46	v	v	NOUN
ejpam-5401	462	47	ψ	ψ	NOUN
ejpam-5401	462	48	)	)	PUNCT
ejpam-5401	462	49	pc	pc	NOUN
ejpam-5401	462	50	.	.	PUNCT
ejpam-5401	463	1	this	this	PRON
ejpam-5401	463	2	implies	imply	VERB
ejpam-5401	463	3	that	that	SCONJ
ejpam-5401	463	4	[	[	X
ejpam-5401	463	5	(	(	PUNCT
ejpam-5401	463	6	γ1	γ1	PROPN
ejpam-5401	463	7	,	,	PUNCT
ejpam-5401	463	8	c1	c1	PROPN
ejpam-5401	463	9	,	,	PUNCT
ejpam-5401	463	10	v	v	NOUN
ejpam-5401	463	11	ψ	ψ	NOUN
ejpam-5401	463	12	)	)	PUNCT
ejpam-5401	463	13	pc	pc	NOUN
ejpam-5401	463	14	≍	≍	VERB
ejpam-5401	463	15	⊓	⊓	PROPN
ejpam-5401	463	16	(	(	PUNCT
ejpam-5401	463	17	γ2	γ2	PROPN
ejpam-5401	463	18	,	,	PUNCT
ejpam-5401	463	19	c2	c2	PROPN
ejpam-5401	463	20	,	,	PUNCT
ejpam-5401	463	21	v	v	NOUN
ejpam-5401	463	22	ψ	ψ	NOUN
ejpam-5401	463	23	)	)	PUNCT
ejpam-5401	463	24	pc	pc	NOUN
ejpam-5401	463	25	]	]	PUNCT
ejpam-5401	463	26	o	o	X
ejpam-5401	463	27	≍	≍	PROPN
ejpam-5401	463	28	⊑	⊑	X
ejpam-5401	463	29	(	(	PUNCT
ejpam-5401	463	30	γ1	γ1	PROPN
ejpam-5401	463	31	,	,	PUNCT
ejpam-5401	463	32	c1	c1	PROPN
ejpam-5401	463	33	,	,	PUNCT
ejpam-5401	463	34	v	v	NOUN
ejpam-5401	463	35	ψ	ψ	NOUN
ejpam-5401	463	36	)	)	PUNCT
ejpam-5401	463	37	o	o	NOUN
ejpam-5401	463	38	pc	pc	NOUN
ejpam-5401	463	39	≍	≍	VERB
ejpam-5401	463	40	⊓	⊓	PROPN
ejpam-5401	463	41	(	(	PUNCT
ejpam-5401	463	42	γ2	γ2	PROPN
ejpam-5401	463	43	,	,	PUNCT
ejpam-5401	463	44	c2	c2	PROPN
ejpam-5401	463	45	,	,	PUNCT
ejpam-5401	463	46	v	v	NOUN
ejpam-5401	463	47	ψ	ψ	NOUN
ejpam-5401	463	48	)	)	PUNCT
ejpam-5401	463	49	o	o	NOUN
ejpam-5401	463	50	pc	pc	NOUN
ejpam-5401	463	51	.	.	PUNCT
ejpam-5401	464	1	again	again	ADV
ejpam-5401	464	2	,	,	PUNCT
ejpam-5401	464	3	let	let	VERB
ejpam-5401	464	4	x	x	X
ejpam-5401	464	5	∈	∈	PROPN
ejpam-5401	464	6	(	(	PUNCT
ejpam-5401	464	7	γ1	γ1	PROPN
ejpam-5401	464	8	,	,	PUNCT
ejpam-5401	464	9	c1	c1	PROPN
ejpam-5401	464	10	,	,	PUNCT
ejpam-5401	464	11	v	v	NOUN
ejpam-5401	464	12	ψ	ψ	NOUN
ejpam-5401	464	13	)	)	PUNCT
ejpam-5401	464	14	o	o	NOUN
ejpam-5401	464	15	pc	pc	NOUN
ejpam-5401	464	16	≍	≍	VERB
ejpam-5401	464	17	⊓	⊓	PROPN
ejpam-5401	464	18	(	(	PUNCT
ejpam-5401	464	19	γ2	γ2	PROPN
ejpam-5401	464	20	,	,	PUNCT
ejpam-5401	464	21	c2	c2	PROPN
ejpam-5401	464	22	,	,	PUNCT
ejpam-5401	464	23	v	v	NOUN
ejpam-5401	464	24	ψ	ψ	NOUN
ejpam-5401	464	25	)	)	PUNCT
ejpam-5401	464	26	o	o	NOUN
ejpam-5401	464	27	pc	pc	NOUN
ejpam-5401	464	28	,	,	PUNCT
ejpam-5401	464	29	then	then	ADV
ejpam-5401	464	30	x	x	SYM
ejpam-5401	464	31	∈	∈	PROPN
ejpam-5401	464	32	(	(	PUNCT
ejpam-5401	464	33	γ1	γ1	PROPN
ejpam-5401	464	34	,	,	PUNCT
ejpam-5401	464	35	c1	c1	PROPN
ejpam-5401	464	36	,	,	PUNCT
ejpam-5401	464	37	v	v	NOUN
ejpam-5401	464	38	ψ	ψ	NOUN
ejpam-5401	464	39	)	)	PUNCT
ejpam-5401	464	40	o	o	NOUN
ejpam-5401	464	41	pc	pc	NOUN
ejpam-5401	464	42	and	and	CCONJ
ejpam-5401	464	43	x	x	SYM
ejpam-5401	464	44	∈	∈	PROPN
ejpam-5401	464	45	(	(	PUNCT
ejpam-5401	464	46	γ2	γ2	PROPN
ejpam-5401	464	47	,	,	PUNCT
ejpam-5401	464	48	c2	c2	PROPN
ejpam-5401	464	49	,	,	PUNCT
ejpam-5401	464	50	v	v	NOUN
ejpam-5401	464	51	ψ	ψ	NOUN
ejpam-5401	464	52	)	)	PUNCT
ejpam-5401	464	53	o	o	NOUN
ejpam-5401	464	54	pc	pc	NOUN
ejpam-5401	464	55	.	.	PUNCT
ejpam-5401	465	1	hence	hence	ADV
ejpam-5401	465	2	,	,	PUNCT
ejpam-5401	465	3	x	x	X
ejpam-5401	465	4	is	be	AUX
ejpam-5401	465	5	a	a	DET
ejpam-5401	465	6	pchs	pchs	ADJ
ejpam-5401	465	7	interior	interior	ADJ
ejpam-5401	465	8	point	point	NOUN
ejpam-5401	465	9	of	of	ADP
ejpam-5401	465	10	each	each	PRON
ejpam-5401	465	11	of	of	ADP
ejpam-5401	465	12	the	the	DET
ejpam-5401	465	13	pchs	pchs	ADJ
ejpam-5401	465	14	sets	set	NOUN
ejpam-5401	465	15	(	(	PUNCT
ejpam-5401	465	16	γ1	γ1	PROPN
ejpam-5401	465	17	,	,	PUNCT
ejpam-5401	465	18	c1	c1	PROPN
ejpam-5401	465	19	,	,	PUNCT
ejpam-5401	465	20	v	v	NOUN
ejpam-5401	465	21	ψ	ψ	NOUN
ejpam-5401	465	22	)	)	PUNCT
ejpam-5401	465	23	pc	pc	NOUN
ejpam-5401	465	24	and	and	CCONJ
ejpam-5401	465	25	(	(	PUNCT
ejpam-5401	465	26	γ2	γ2	PROPN
ejpam-5401	465	27	,	,	PUNCT
ejpam-5401	465	28	c2	c2	PROPN
ejpam-5401	465	29	,	,	PUNCT
ejpam-5401	465	30	v	v	NOUN
ejpam-5401	465	31	ψ	ψ	NOUN
ejpam-5401	465	32	)	)	PUNCT
ejpam-5401	465	33	pc	pc	NOUN
ejpam-5401	465	34	.	.	PUNCT
ejpam-5401	466	1	it	it	PRON
ejpam-5401	466	2	follows	follow	VERB
ejpam-5401	466	3	that	that	SCONJ
ejpam-5401	466	4	(	(	PUNCT
ejpam-5401	466	5	γ1	γ1	PROPN
ejpam-5401	466	6	,	,	PUNCT
ejpam-5401	466	7	c1	c1	PROPN
ejpam-5401	466	8	,	,	PUNCT
ejpam-5401	466	9	v	v	NOUN
ejpam-5401	466	10	ψ	ψ	NOUN
ejpam-5401	466	11	)	)	PUNCT
ejpam-5401	466	12	pc	pc	NOUN
ejpam-5401	466	13	and	and	CCONJ
ejpam-5401	466	14	(	(	PUNCT
ejpam-5401	466	15	γ2	γ2	PROPN
ejpam-5401	466	16	,	,	PUNCT
ejpam-5401	466	17	c2	c2	PROPN
ejpam-5401	466	18	,	,	PUNCT
ejpam-5401	466	19	v	v	NOUN
ejpam-5401	466	20	ψ	ψ	NOUN
ejpam-5401	466	21	)	)	PUNCT
ejpam-5401	466	22	pc	pc	NOUN
ejpam-5401	466	23	are	be	AUX
ejpam-5401	466	24	pchs	pchs	ADJ
ejpam-5401	466	25	neighborhood	neighborhood	NOUN
ejpam-5401	466	26	of	of	ADP
ejpam-5401	466	27	x	x	NOUN
ejpam-5401	466	28	,	,	PUNCT
ejpam-5401	466	29	so	so	SCONJ
ejpam-5401	466	30	that	that	SCONJ
ejpam-5401	466	31	,	,	PUNCT
ejpam-5401	466	32	their	their	PRON
ejpam-5401	466	33	intersection	intersection	NOUN
ejpam-5401	466	34	(	(	PUNCT
ejpam-5401	466	35	γ1	γ1	PROPN
ejpam-5401	466	36	,	,	PUNCT
ejpam-5401	466	37	c1	c1	PROPN
ejpam-5401	466	38	,	,	PUNCT
ejpam-5401	466	39	v	v	NOUN
ejpam-5401	466	40	ψ	ψ	NOUN
ejpam-5401	466	41	)	)	PUNCT
ejpam-5401	466	42	pc	pc	NOUN
ejpam-5401	466	43	≍	≍	VERB
ejpam-5401	466	44	⊓	⊓	PROPN
ejpam-5401	466	45	(	(	PUNCT
ejpam-5401	466	46	γ2	γ2	PROPN
ejpam-5401	466	47	,	,	PUNCT
ejpam-5401	466	48	c2	c2	PROPN
ejpam-5401	466	49	,	,	PUNCT
ejpam-5401	466	50	v	v	NOUN
ejpam-5401	466	51	ψ	ψ	NOUN
ejpam-5401	466	52	)	)	PUNCT
ejpam-5401	466	53	pc	pc	NOUN
ejpam-5401	466	54	is	be	AUX
ejpam-5401	466	55	also	also	ADV
ejpam-5401	466	56	a	a	DET
ejpam-5401	466	57	pchs	pchs	ADJ
ejpam-5401	466	58	neighborhood	neighborhood	NOUN
ejpam-5401	466	59	of	of	ADP
ejpam-5401	466	60	x.	x.	NOUN
ejpam-5401	466	61	hence	hence	ADV
ejpam-5401	466	62	,	,	PUNCT
ejpam-5401	466	63	x	x	PUNCT
ejpam-5401	466	64	∈	∈	PROPN
ejpam-5401	467	1	[	[	X
ejpam-5401	467	2	(	(	PUNCT
ejpam-5401	467	3	γ1	γ1	PROPN
ejpam-5401	467	4	,	,	PUNCT
ejpam-5401	467	5	c1	c1	PROPN
ejpam-5401	467	6	,	,	PUNCT
ejpam-5401	467	7	v	v	NOUN
ejpam-5401	467	8	ψ	ψ	NOUN
ejpam-5401	467	9	)	)	PUNCT
ejpam-5401	467	10	pc	pc	NOUN
ejpam-5401	467	11	≍	≍	VERB
ejpam-5401	467	12	⊓	⊓	PROPN
ejpam-5401	467	13	(	(	PUNCT
ejpam-5401	467	14	γ2	γ2	PROPN
ejpam-5401	467	15	,	,	PUNCT
ejpam-5401	467	16	c2	c2	PROPN
ejpam-5401	467	17	,	,	PUNCT
ejpam-5401	467	18	v	v	NOUN
ejpam-5401	467	19	ψ	ψ	NOUN
ejpam-5401	467	20	)	)	PUNCT
ejpam-5401	467	21	pc	pc	NOUN
ejpam-5401	467	22	]	]	X
ejpam-5401	467	23	o	o	X
ejpam-5401	467	24	.	.	PUNCT
ejpam-5401	468	1	this	this	DET
ejpam-5401	468	2	,	,	PUNCT
ejpam-5401	468	3	[	[	X
ejpam-5401	468	4	(	(	PUNCT
ejpam-5401	468	5	γ1	γ1	PROPN
ejpam-5401	468	6	,	,	PUNCT
ejpam-5401	468	7	c1	c1	PROPN
ejpam-5401	468	8	,	,	PUNCT
ejpam-5401	468	9	v	v	NOUN
ejpam-5401	468	10	ψ	ψ	NOUN
ejpam-5401	468	11	)	)	PUNCT
ejpam-5401	468	12	pc	pc	NOUN
ejpam-5401	468	13	≍	≍	VERB
ejpam-5401	468	14	⊓	⊓	PROPN
ejpam-5401	468	15	(	(	PUNCT
ejpam-5401	468	16	γ2	γ2	PROPN
ejpam-5401	468	17	,	,	PUNCT
ejpam-5401	468	18	c2	c2	PROPN
ejpam-5401	468	19	,	,	PUNCT
ejpam-5401	468	20	v	v	NOUN
ejpam-5401	468	21	ψ	ψ	NOUN
ejpam-5401	468	22	)	)	PUNCT
ejpam-5401	468	23	pc	pc	NOUN
ejpam-5401	468	24	]	]	PUNCT
ejpam-5401	468	25	o	o	X
ejpam-5401	468	26	≍	≍	PROPN
ejpam-5401	468	27	=	=	SYM
ejpam-5401	468	28	(	(	PUNCT
ejpam-5401	468	29	γ1	γ1	PROPN
ejpam-5401	468	30	,	,	PUNCT
ejpam-5401	468	31	c1	c1	PROPN
ejpam-5401	468	32	,	,	PUNCT
ejpam-5401	468	33	v	v	NOUN
ejpam-5401	468	34	ψ	ψ	NOUN
ejpam-5401	468	35	)	)	PUNCT
ejpam-5401	468	36	o	o	NOUN
ejpam-5401	468	37	pc	pc	NOUN
ejpam-5401	468	38	≍	≍	VERB
ejpam-5401	468	39	⊓	⊓	PROPN
ejpam-5401	468	40	(	(	PUNCT
ejpam-5401	468	41	γ2	γ2	PROPN
ejpam-5401	468	42	,	,	PUNCT
ejpam-5401	468	43	c2	c2	PROPN
ejpam-5401	468	44	,	,	PUNCT
ejpam-5401	468	45	v	v	NOUN
ejpam-5401	468	46	ψ	ψ	NOUN
ejpam-5401	468	47	)	)	PUNCT
ejpam-5401	468	48	o	o	NOUN
ejpam-5401	468	49	pc	pc	NOUN
ejpam-5401	468	50	.	.	PUNCT
ejpam-5401	469	1	(	(	PUNCT
ejpam-5401	469	2	v	v	NOUN
ejpam-5401	469	3	)	)	PUNCT
ejpam-5401	469	4	by	by	ADP
ejpam-5401	469	5	part	part	NOUN
ejpam-5401	469	6	(	(	PUNCT
ejpam-5401	469	7	iii	iii	NOUN
ejpam-5401	469	8	)	)	PUNCT
ejpam-5401	469	9	,	,	PUNCT
ejpam-5401	469	10	(	(	PUNCT
ejpam-5401	469	11	γ1	γ1	PROPN
ejpam-5401	469	12	,	,	PUNCT
ejpam-5401	469	13	c1	c1	PROPN
ejpam-5401	469	14	,	,	PUNCT
ejpam-5401	469	15	v	v	NOUN
ejpam-5401	469	16	ψ	ψ	NOUN
ejpam-5401	469	17	)	)	PUNCT
ejpam-5401	469	18	pc	pc	NOUN
ejpam-5401	469	19	≍	≍	PROPN
ejpam-5401	469	20	⊑	⊑	X
ejpam-5401	469	21	(	(	PUNCT
ejpam-5401	469	22	γ1	γ1	PROPN
ejpam-5401	469	23	,	,	PUNCT
ejpam-5401	469	24	c1	c1	PROPN
ejpam-5401	469	25	,	,	PUNCT
ejpam-5401	469	26	v	v	NOUN
ejpam-5401	469	27	ψ	ψ	NOUN
ejpam-5401	469	28	)	)	PUNCT
ejpam-5401	469	29	pc	pc	NOUN
ejpam-5401	469	30	≍	≍	PROPN
ejpam-5401	470	1	⊔	⊔	PROPN
ejpam-5401	470	2	(	(	PUNCT
ejpam-5401	470	3	γ2	γ2	PROPN
ejpam-5401	470	4	,	,	PUNCT
ejpam-5401	470	5	c2	c2	PROPN
ejpam-5401	470	6	,	,	PUNCT
ejpam-5401	470	7	v	v	NOUN
ejpam-5401	470	8	ψ	ψ	NOUN
ejpam-5401	470	9	)	)	PUNCT
ejpam-5401	470	10	pc	pc	NOUN
ejpam-5401	470	11	implies	imply	VERB
ejpam-5401	470	12	that	that	SCONJ
ejpam-5401	470	13	(	(	PUNCT
ejpam-5401	470	14	γ1	γ1	PROPN
ejpam-5401	470	15	,	,	PUNCT
ejpam-5401	470	16	c1	c1	PROPN
ejpam-5401	470	17	,	,	PUNCT
ejpam-5401	470	18	v	v	NOUN
ejpam-5401	470	19	ψ	ψ	NOUN
ejpam-5401	470	20	)	)	PUNCT
ejpam-5401	470	21	o	o	NOUN
ejpam-5401	470	22	pc	pc	NOUN
ejpam-5401	470	23	≍	≍	PROPN
ejpam-5401	470	24	⊑	⊑	X
ejpam-5401	471	1	[	[	X
ejpam-5401	471	2	(	(	PUNCT
ejpam-5401	471	3	γ1	γ1	PROPN
ejpam-5401	471	4	,	,	PUNCT
ejpam-5401	471	5	c1	c1	PROPN
ejpam-5401	471	6	,	,	PUNCT
ejpam-5401	471	7	v	v	NOUN
ejpam-5401	471	8	ψ	ψ	NOUN
ejpam-5401	471	9	)	)	PUNCT
ejpam-5401	471	10	pc	pc	NOUN
ejpam-5401	471	11	≍	≍	PROPN
ejpam-5401	471	12	⊔	⊔	PROPN
ejpam-5401	471	13	(	(	PUNCT
ejpam-5401	471	14	γ2	γ2	PROPN
ejpam-5401	471	15	,	,	PUNCT
ejpam-5401	471	16	c2	c2	PROPN
ejpam-5401	471	17	,	,	PUNCT
ejpam-5401	471	18	v	v	NOUN
ejpam-5401	471	19	ψ	ψ	NOUN
ejpam-5401	471	20	)	)	PUNCT
ejpam-5401	471	21	pc	pc	NOUN
ejpam-5401	471	22	]	]	X
ejpam-5401	471	23	o	o	NOUN
ejpam-5401	471	24	and	and	CCONJ
ejpam-5401	471	25	(	(	PUNCT
ejpam-5401	471	26	γ1	γ1	PROPN
ejpam-5401	471	27	,	,	PUNCT
ejpam-5401	471	28	c1	c1	PROPN
ejpam-5401	471	29	,	,	PUNCT
ejpam-5401	471	30	v	v	NOUN
ejpam-5401	471	31	ψ	ψ	NOUN
ejpam-5401	471	32	)	)	PUNCT
ejpam-5401	471	33	pc	pc	NOUN
ejpam-5401	471	34	≍	≍	PROPN
ejpam-5401	471	35	⊑	⊑	X
ejpam-5401	471	36	(	(	PUNCT
ejpam-5401	471	37	γ1	γ1	PROPN
ejpam-5401	471	38	,	,	PUNCT
ejpam-5401	471	39	c1	c1	PROPN
ejpam-5401	471	40	,	,	PUNCT
ejpam-5401	471	41	v	v	NOUN
ejpam-5401	471	42	ψ	ψ	NOUN
ejpam-5401	471	43	)	)	PUNCT
ejpam-5401	471	44	pc	pc	NOUN
ejpam-5401	471	45	≍	≍	PROPN
ejpam-5401	471	46	⊔	⊔	PROPN
ejpam-5401	471	47	(	(	PUNCT
ejpam-5401	471	48	γ2	γ2	PROPN
ejpam-5401	471	49	,	,	PUNCT
ejpam-5401	471	50	c2	c2	PROPN
ejpam-5401	471	51	,	,	PUNCT
ejpam-5401	471	52	v	v	NOUN
ejpam-5401	471	53	ψ	ψ	NOUN
ejpam-5401	471	54	)	)	PUNCT
ejpam-5401	471	55	pc	pc	NOUN
ejpam-5401	471	56	implies	imply	VERB
ejpam-5401	471	57	that	that	SCONJ
ejpam-5401	471	58	(	(	PUNCT
ejpam-5401	471	59	γ2	γ2	PROPN
ejpam-5401	471	60	,	,	PUNCT
ejpam-5401	471	61	c2	c2	PROPN
ejpam-5401	471	62	,	,	PUNCT
ejpam-5401	471	63	v	v	NOUN
ejpam-5401	471	64	ψ	ψ	NOUN
ejpam-5401	471	65	)	)	PUNCT
ejpam-5401	471	66	pc	pc	NOUN
ejpam-5401	471	67	≍	≍	NOUN
ejpam-5401	471	68	⊑	⊑	X
ejpam-5401	472	1	[	[	X
ejpam-5401	472	2	(	(	PUNCT
ejpam-5401	472	3	γ1	γ1	PROPN
ejpam-5401	472	4	,	,	PUNCT
ejpam-5401	472	5	c1	c1	PROPN
ejpam-5401	472	6	,	,	PUNCT
ejpam-5401	472	7	v	v	NOUN
ejpam-5401	472	8	ψ	ψ	NOUN
ejpam-5401	472	9	)	)	PUNCT
ejpam-5401	472	10	pc	pc	NOUN
ejpam-5401	472	11	≍	≍	PROPN
ejpam-5401	472	12	⊔	⊔	PROPN
ejpam-5401	472	13	(	(	PUNCT
ejpam-5401	472	14	γ2	γ2	PROPN
ejpam-5401	472	15	,	,	PUNCT
ejpam-5401	472	16	c2	c2	PROPN
ejpam-5401	472	17	,	,	PUNCT
ejpam-5401	472	18	v	v	NOUN
ejpam-5401	472	19	ψ	ψ	NOUN
ejpam-5401	472	20	)	)	PUNCT
ejpam-5401	472	21	pc	pc	NOUN
ejpam-5401	472	22	]	]	X
ejpam-5401	472	23	o	o	X
ejpam-5401	472	24	.	.	PUNCT
ejpam-5401	473	1	hence	hence	ADV
ejpam-5401	473	2	,	,	PUNCT
ejpam-5401	473	3	(	(	PUNCT
ejpam-5401	473	4	γ1	γ1	PROPN
ejpam-5401	473	5	,	,	PUNCT
ejpam-5401	473	6	c1	c1	PROPN
ejpam-5401	473	7	,	,	PUNCT
ejpam-5401	473	8	v	v	NOUN
ejpam-5401	473	9	ψ	ψ	NOUN
ejpam-5401	473	10	)	)	PUNCT
ejpam-5401	473	11	o	o	NOUN
ejpam-5401	473	12	pc	pc	NOUN
ejpam-5401	473	13	≍	≍	VERB
ejpam-5401	473	14	⊔	⊔	PROPN
ejpam-5401	473	15	(	(	PUNCT
ejpam-5401	473	16	γ2	γ2	PROPN
ejpam-5401	473	17	,	,	PUNCT
ejpam-5401	473	18	c2	c2	PROPN
ejpam-5401	473	19	,	,	PUNCT
ejpam-5401	473	20	v	v	NOUN
ejpam-5401	473	21	ψ	ψ	NOUN
ejpam-5401	473	22	)	)	PUNCT
ejpam-5401	473	23	o	o	NOUN
ejpam-5401	473	24	pc	pc	NOUN
ejpam-5401	473	25	≍	≍	NOUN
ejpam-5401	473	26	⊑	⊑	X
ejpam-5401	474	1	[	[	X
ejpam-5401	474	2	(	(	PUNCT
ejpam-5401	474	3	γ1	γ1	PROPN
ejpam-5401	474	4	,	,	PUNCT
ejpam-5401	474	5	c1	c1	PROPN
ejpam-5401	474	6	,	,	PUNCT
ejpam-5401	474	7	v	v	NOUN
ejpam-5401	474	8	ψ	ψ	NOUN
ejpam-5401	474	9	)	)	PUNCT
ejpam-5401	474	10	pc	pc	NOUN
ejpam-5401	474	11	≍	≍	PROPN
ejpam-5401	474	12	⊔	⊔	PROPN
ejpam-5401	474	13	(	(	PUNCT
ejpam-5401	474	14	γ2	γ2	PROPN
ejpam-5401	474	15	,	,	PUNCT
ejpam-5401	474	16	c2	c2	PROPN
ejpam-5401	474	17	,	,	PUNCT
ejpam-5401	474	18	v	v	NOUN
ejpam-5401	474	19	ψ	ψ	NOUN
ejpam-5401	474	20	)	)	PUNCT
ejpam-5401	474	21	pc	pc	NOUN
ejpam-5401	474	22	]	]	X
ejpam-5401	474	23	o	o	X
ejpam-5401	474	24	.	.	PUNCT
ejpam-5401	475	1	(	(	PUNCT
ejpam-5401	475	2	vi	vi	X
ejpam-5401	475	3	)	)	PUNCT
ejpam-5401	475	4	by	by	ADP
ejpam-5401	475	5	proposition	proposition	NOUN
ejpam-5401	475	6	9(i	9(i	NUM
ejpam-5401	475	7	)	)	PUNCT
ejpam-5401	475	8	(	(	PUNCT
ejpam-5401	475	9	γ1	γ1	PROPN
ejpam-5401	475	10	,	,	PUNCT
ejpam-5401	475	11	c1	c1	PROPN
ejpam-5401	475	12	,	,	PUNCT
ejpam-5401	475	13	v	v	NOUN
ejpam-5401	475	14	ψ	ψ	NOUN
ejpam-5401	475	15	)	)	PUNCT
ejpam-5401	475	16	o	o	NOUN
ejpam-5401	475	17	pc	pc	NOUN
ejpam-5401	475	18	is	be	AUX
ejpam-5401	475	19	the	the	DET
ejpam-5401	475	20	pchs	pch	NOUN
ejpam-5401	475	21	open	open	ADJ
ejpam-5401	475	22	set	set	NOUN
ejpam-5401	475	23	.	.	PUNCT
ejpam-5401	476	1	hence	hence	ADV
ejpam-5401	476	2	by	by	ADP
ejpam-5401	476	3	proposition	proposition	NOUN
ejpam-5401	476	4	9(ii	9(ii	NUM
ejpam-5401	476	5	)	)	PUNCT
ejpam-5401	476	6	,	,	PUNCT
ejpam-5401	476	7	[	[	X
ejpam-5401	476	8	(	(	PUNCT
ejpam-5401	476	9	γ1	γ1	PROPN
ejpam-5401	476	10	,	,	PUNCT
ejpam-5401	476	11	c1	c1	PROPN
ejpam-5401	476	12	,	,	PUNCT
ejpam-5401	476	13	v	v	NOUN
ejpam-5401	476	14	ψ	ψ	NOUN
ejpam-5401	476	15	)	)	PUNCT
ejpam-5401	476	16	o	o	NOUN
ejpam-5401	476	17	pc	pc	NOUN
ejpam-5401	476	18	]	]	X
ejpam-5401	476	19	o	o	X
ejpam-5401	476	20	≍	≍	PROPN
ejpam-5401	476	21	=	=	SYM
ejpam-5401	476	22	(	(	PUNCT
ejpam-5401	476	23	γ1	γ1	PROPN
ejpam-5401	476	24	,	,	PUNCT
ejpam-5401	476	25	c1	c1	PROPN
ejpam-5401	476	26	,	,	PUNCT
ejpam-5401	476	27	v	v	NOUN
ejpam-5401	476	28	ψ	ψ	NOUN
ejpam-5401	476	29	)	)	PUNCT
ejpam-5401	476	30	o	o	NOUN
ejpam-5401	476	31	pc	pc	NOUN
ejpam-5401	476	32	.	.	PUNCT
ejpam-5401	477	1	remark	remark	PROPN
ejpam-5401	477	2	8	8	NUM
ejpam-5401	477	3	.	.	PUNCT
ejpam-5401	478	1	the	the	DET
ejpam-5401	478	2	equality	equality	NOUN
ejpam-5401	478	3	of	of	ADP
ejpam-5401	478	4	above	above	ADJ
ejpam-5401	478	5	proposition	proposition	NOUN
ejpam-5401	478	6	part	part	NOUN
ejpam-5401	478	7	(	(	PUNCT
ejpam-5401	478	8	v	v	NOUN
ejpam-5401	478	9	)	)	PUNCT
ejpam-5401	478	10	does	do	AUX
ejpam-5401	478	11	not	not	PART
ejpam-5401	478	12	hold	hold	VERB
ejpam-5401	478	13	in	in	ADP
ejpam-5401	478	14	general	general	ADJ
ejpam-5401	478	15	.	.	PUNCT
ejpam-5401	479	1	see	see	VERB
ejpam-5401	479	2	the	the	DET
ejpam-5401	479	3	next	next	ADJ
ejpam-5401	479	4	example	example	NOUN
ejpam-5401	479	5	.	.	PUNCT
ejpam-5401	480	1	references	reference	NOUN
ejpam-5401	480	2	3058	3058	NUM
ejpam-5401	480	3	example	example	NOUN
ejpam-5401	480	4	7	7	NUM
ejpam-5401	480	5	.	.	X
ejpam-5401	480	6	consider	consider	VERB
ejpam-5401	480	7	the	the	DET
ejpam-5401	480	8	pchst	pchst	ADJ
ejpam-5401	480	9	space	space	NOUN
ejpam-5401	480	10	(	(	PUNCT
ejpam-5401	480	11	up	up	ADP
ejpam-5401	480	12	,	,	PUNCT
ejpam-5401	480	13	τpc	τpc	NOUN
ejpam-5401	480	14	,	,	PUNCT
ejpam-5401	480	15	vψ	vψ	X
ejpam-5401	480	16	)	)	PUNCT
ejpam-5401	480	17	in	in	ADP
ejpam-5401	480	18	example	example	NOUN
ejpam-5401	481	1	2	2	NUM
ejpam-5401	481	2	.	.	X
ejpam-5401	481	3	define	define	VERB
ejpam-5401	481	4	(	(	PUNCT
ejpam-5401	481	5	γ4	γ4	NOUN
ejpam-5401	481	6	,	,	PUNCT
ejpam-5401	481	7	c4	c4	NOUN
ejpam-5401	481	8	,	,	PUNCT
ejpam-5401	481	9	vψ)pc	vψ)pc	PROPN
ejpam-5401	481	10	and	and	CCONJ
ejpam-5401	481	11	(	(	PUNCT
ejpam-5401	481	12	γ5	γ5	PROPN
ejpam-5401	481	13	,	,	PUNCT
ejpam-5401	481	14	c5	c5	PROPN
ejpam-5401	481	15	,	,	PUNCT
ejpam-5401	481	16	vψ)pc	vψ)pc	X
ejpam-5401	481	17	as	as	ADP
ejpam-5401	481	18	the	the	DET
ejpam-5401	481	19	follow	follow	NOUN
ejpam-5401	481	20	:	:	PUNCT
ejpam-5401	481	21	(	(	PUNCT
ejpam-5401	481	22	γ4	γ4	NOUN
ejpam-5401	481	23	,	,	PUNCT
ejpam-5401	481	24	c4	c4	NOUN
ejpam-5401	481	25	,	,	PUNCT
ejpam-5401	481	26	vψ)pc=	vψ)pc=	PUNCT
ejpam-5401	481	27	{	{	PUNCT
ejpam-5401	481	28	<	<	X
ejpam-5401	481	29	(	(	PUNCT
ejpam-5401	481	30	α	α	NOUN
ejpam-5401	481	31	)	)	PUNCT
ejpam-5401	481	32	,	,	PUNCT
ejpam-5401	481	33	{	{	PUNCT
ejpam-5401	481	34	x1	x1	NOUN
ejpam-5401	481	35	(	(	PUNCT
ejpam-5401	481	36	1	1	NUM
ejpam-5401	481	37	,	,	PUNCT
ejpam-5401	481	38	0	0	NUM
ejpam-5401	481	39	,	,	PUNCT
ejpam-5401	481	40	1	1	NUM
ejpam-5401	481	41	)	)	PUNCT
ejpam-5401	481	42	,	,	PUNCT
ejpam-5401	481	43	x3	x3	VERB
ejpam-5401	481	44	(	(	PUNCT
ejpam-5401	481	45	1	1	NUM
ejpam-5401	481	46	,	,	PUNCT
ejpam-5401	481	47	1	1	NUM
ejpam-5401	481	48	,	,	PUNCT
ejpam-5401	481	49	1	1	NUM
ejpam-5401	481	50	)	)	PUNCT
ejpam-5401	481	51	,	,	PUNCT
ejpam-5401	481	52	x4	x4	PROPN
ejpam-5401	481	53	(	(	PUNCT
ejpam-5401	481	54	1	1	NUM
ejpam-5401	481	55	,	,	PUNCT
ejpam-5401	481	56	1	1	NUM
ejpam-5401	481	57	,	,	PUNCT
ejpam-5401	481	58	1	1	NUM
ejpam-5401	481	59	)	)	PUNCT
ejpam-5401	481	60	}	}	PUNCT
ejpam-5401	481	61	>	>	PUNCT
ejpam-5401	481	62	,	,	PUNCT
ejpam-5401	481	63	<	<	X
ejpam-5401	481	64	(	(	PUNCT
ejpam-5401	481	65	β	β	NOUN
ejpam-5401	481	66	)	)	PUNCT
ejpam-5401	481	67	,	,	PUNCT
ejpam-5401	481	68	{	{	PUNCT
ejpam-5401	481	69	x2	x2	X
ejpam-5401	481	70	(	(	PUNCT
ejpam-5401	481	71	1	1	NUM
ejpam-5401	481	72	,	,	PUNCT
ejpam-5401	481	73	1	1	NUM
ejpam-5401	481	74	,	,	PUNCT
ejpam-5401	481	75	1	1	NUM
ejpam-5401	481	76	)	)	PUNCT
ejpam-5401	481	77	,	,	PUNCT
ejpam-5401	481	78	x3	x3	VERB
ejpam-5401	481	79	(	(	PUNCT
ejpam-5401	481	80	1	1	NUM
ejpam-5401	481	81	,	,	PUNCT
ejpam-5401	481	82	1	1	NUM
ejpam-5401	481	83	,	,	PUNCT
ejpam-5401	481	84	1	1	NUM
ejpam-5401	481	85	)	)	PUNCT
ejpam-5401	481	86	}	}	PUNCT
ejpam-5401	481	87	>	>	PUNCT
ejpam-5401	481	88	}	}	PUNCT
ejpam-5401	481	89	(	(	PUNCT
ejpam-5401	481	90	γ5	γ5	PROPN
ejpam-5401	481	91	,	,	PUNCT
ejpam-5401	481	92	c5	c5	PROPN
ejpam-5401	481	93	,	,	PUNCT
ejpam-5401	481	94	vψ)pc=	vψ)pc=	PUNCT
ejpam-5401	481	95	{	{	PUNCT
ejpam-5401	481	96	<	<	X
ejpam-5401	481	97	(	(	PUNCT
ejpam-5401	481	98	α	α	NOUN
ejpam-5401	481	99	)	)	PUNCT
ejpam-5401	481	100	,	,	PUNCT
ejpam-5401	481	101	1pc	1pc	ADJ
ejpam-5401	481	102	}	}	PUNCT
ejpam-5401	481	103	>	>	PUNCT
ejpam-5401	481	104	,	,	PUNCT
ejpam-5401	481	105	<	<	X
ejpam-5401	481	106	(	(	PUNCT
ejpam-5401	481	107	β	β	NOUN
ejpam-5401	481	108	)	)	PUNCT
ejpam-5401	481	109	,	,	PUNCT
ejpam-5401	481	110	{	{	PUNCT
ejpam-5401	481	111	x1	x1	NOUN
ejpam-5401	481	112	(	(	PUNCT
ejpam-5401	481	113	1	1	NUM
ejpam-5401	481	114	,	,	PUNCT
ejpam-5401	481	115	1	1	NUM
ejpam-5401	481	116	,	,	PUNCT
ejpam-5401	481	117	1	1	NUM
ejpam-5401	481	118	)	)	PUNCT
ejpam-5401	481	119	,	,	PUNCT
ejpam-5401	481	120	x4	x4	PROPN
ejpam-5401	481	121	(	(	PUNCT
ejpam-5401	481	122	1	1	NUM
ejpam-5401	481	123	,	,	PUNCT
ejpam-5401	481	124	1	1	NUM
ejpam-5401	481	125	,	,	PUNCT
ejpam-5401	481	126	1	1	NUM
ejpam-5401	481	127	)	)	PUNCT
ejpam-5401	481	128	}	}	PUNCT
ejpam-5401	481	129	>	>	PUNCT
ejpam-5401	481	130	}	}	PUNCT
ejpam-5401	481	131	.	.	PUNCT
ejpam-5401	482	1	now	now	ADV
ejpam-5401	482	2	,	,	PUNCT
ejpam-5401	482	3	(	(	PUNCT
ejpam-5401	482	4	γ4	γ4	NOUN
ejpam-5401	482	5	,	,	PUNCT
ejpam-5401	482	6	c4	c4	NOUN
ejpam-5401	482	7	,	,	PUNCT
ejpam-5401	482	8	vψ	vψ	PROPN
ejpam-5401	482	9	)	)	PUNCT
ejpam-5401	482	10	o	o	NOUN
ejpam-5401	482	11	pc	pc	NOUN
ejpam-5401	482	12	≍	≍	NOUN
ejpam-5401	482	13	=	=	SYM
ejpam-5401	482	14	(	(	PUNCT
ejpam-5401	482	15	γ1	γ1	PROPN
ejpam-5401	482	16	,	,	PUNCT
ejpam-5401	482	17	c1	c1	PROPN
ejpam-5401	482	18	,	,	PUNCT
ejpam-5401	482	19	vψ)pc	vψ)pc	PROPN
ejpam-5401	482	20	and	and	CCONJ
ejpam-5401	482	21	(	(	PUNCT
ejpam-5401	482	22	γ5	γ5	PROPN
ejpam-5401	482	23	,	,	PUNCT
ejpam-5401	482	24	c5	c5	PROPN
ejpam-5401	482	25	,	,	PUNCT
ejpam-5401	482	26	vψ	vψ	PROPN
ejpam-5401	482	27	)	)	PUNCT
ejpam-5401	482	28	o	o	NOUN
ejpam-5401	482	29	pc	pc	NOUN
ejpam-5401	482	30	≍	≍	NOUN
ejpam-5401	482	31	=	=	SYM
ejpam-5401	482	32	(	(	PUNCT
ejpam-5401	482	33	γ2	γ2	PROPN
ejpam-5401	482	34	,	,	PUNCT
ejpam-5401	482	35	c2	c2	PROPN
ejpam-5401	482	36	,	,	PUNCT
ejpam-5401	482	37	vψ)pc	vψ)pc	PROPN
ejpam-5401	482	38	and	and	CCONJ
ejpam-5401	482	39	(	(	PUNCT
ejpam-5401	482	40	γ4	γ4	NOUN
ejpam-5401	482	41	,	,	PUNCT
ejpam-5401	482	42	c4	c4	NOUN
ejpam-5401	482	43	,	,	PUNCT
ejpam-5401	482	44	vψ	vψ	PROPN
ejpam-5401	482	45	)	)	PUNCT
ejpam-5401	482	46	o	o	NOUN
ejpam-5401	482	47	pc	pc	NOUN
ejpam-5401	482	48	≍	≍	PROPN
ejpam-5401	482	49	⊔(γ5	⊔(γ5	NOUN
ejpam-5401	482	50	,	,	PUNCT
ejpam-5401	482	51	c5	c5	PROPN
ejpam-5401	482	52	,	,	PUNCT
ejpam-5401	482	53	vψ	vψ	PROPN
ejpam-5401	482	54	)	)	PUNCT
ejpam-5401	482	55	o	o	NOUN
ejpam-5401	482	56	pc	pc	NOUN
ejpam-5401	482	57	≍	≍	NOUN
ejpam-5401	482	58	=	=	SYM
ejpam-5401	482	59	(	(	PUNCT
ejpam-5401	482	60	ψ	ψ	X
ejpam-5401	482	61	,	,	PUNCT
ejpam-5401	482	62	c	c	X
ejpam-5401	482	63	,	,	PUNCT
ejpam-5401	482	64	vψ)pc	vψ)pc	PROPN
ejpam-5401	482	65	but	but	CCONJ
ejpam-5401	482	66	[	[	PUNCT
ejpam-5401	482	67	(	(	PUNCT
ejpam-5401	482	68	γ4	γ4	NOUN
ejpam-5401	482	69	,	,	PUNCT
ejpam-5401	482	70	c4	c4	NOUN
ejpam-5401	482	71	,	,	PUNCT
ejpam-5401	482	72	vψ)pc	vψ)pc	PROPN
ejpam-5401	482	73	≍	≍	PROPN
ejpam-5401	482	74	⊔	⊔	PROPN
ejpam-5401	482	75	(	(	PUNCT
ejpam-5401	482	76	γ5	γ5	PROPN
ejpam-5401	482	77	,	,	PUNCT
ejpam-5401	482	78	c5	c5	PROPN
ejpam-5401	482	79	,	,	PUNCT
ejpam-5401	482	80	vψ)pc	vψ)pc	PROPN
ejpam-5401	482	81	]	]	X
ejpam-5401	482	82	o	o	X
ejpam-5401	482	83	≍	≍	PROPN
ejpam-5401	482	84	̸=	̸=	PROPN
ejpam-5401	482	85	(	(	PUNCT
ejpam-5401	482	86	ψ	ψ	X
ejpam-5401	482	87	,	,	PUNCT
ejpam-5401	482	88	c	c	X
ejpam-5401	482	89	,	,	PUNCT
ejpam-5401	482	90	vψ)pc	vψ)pc	X
ejpam-5401	482	91	.	.	PUNCT
ejpam-5401	483	1	proposition	proposition	NOUN
ejpam-5401	483	2	11	11	NUM
ejpam-5401	483	3	.	.	PUNCT
ejpam-5401	484	1	let	let	VERB
ejpam-5401	484	2	(	(	PUNCT
ejpam-5401	484	3	up	up	ADP
ejpam-5401	484	4	,	,	PUNCT
ejpam-5401	484	5	τpc	τpc	NOUN
ejpam-5401	484	6	,	,	PUNCT
ejpam-5401	484	7	vψ	vψ	AUX
ejpam-5401	484	8	)	)	PUNCT
ejpam-5401	484	9	be	be	AUX
ejpam-5401	484	10	a	a	DET
ejpam-5401	484	11	pchst	pchst	ADJ
ejpam-5401	484	12	space	space	NOUN
ejpam-5401	484	13	over	over	ADP
ejpam-5401	484	14	up	up	ADV
ejpam-5401	484	15	and	and	CCONJ
ejpam-5401	484	16	let	let	VERB
ejpam-5401	484	17	(	(	PUNCT
ejpam-5401	484	18	γ	γ	X
ejpam-5401	484	19	,	,	PUNCT
ejpam-5401	484	20	c	c	NOUN
ejpam-5401	484	21	,	,	PUNCT
ejpam-5401	484	22	v	v	NOUN
ejpam-5401	484	23	ψ	ψ	NOUN
ejpam-5401	484	24	)	)	PUNCT
ejpam-5401	484	25	pc	pc	NOUN
ejpam-5401	484	26	be	be	AUX
ejpam-5401	484	27	a	a	DET
ejpam-5401	484	28	pchs	pch	NOUN
ejpam-5401	484	29	set	set	VERB
ejpam-5401	484	30	over	over	ADP
ejpam-5401	484	31	up	up	ADP
ejpam-5401	484	32	.	.	PUNCT
ejpam-5401	485	1	then	then	ADV
ejpam-5401	485	2	(	(	PUNCT
ejpam-5401	485	3	γ	γ	X
ejpam-5401	485	4	,	,	PUNCT
ejpam-5401	485	5	c	c	NOUN
ejpam-5401	485	6	,	,	PUNCT
ejpam-5401	485	7	v	v	NOUN
ejpam-5401	485	8	ψ	ψ	NOUN
ejpam-5401	485	9	)	)	PUNCT
ejpam-5401	485	10	o	o	NOUN
ejpam-5401	485	11	pc	pc	NOUN
ejpam-5401	485	12	≍	≍	PROPN
ejpam-5401	485	13	⊑	⊑	X
ejpam-5401	485	14	(	(	PUNCT
ejpam-5401	485	15	γ	γ	X
ejpam-5401	485	16	,	,	PUNCT
ejpam-5401	485	17	c	c	NOUN
ejpam-5401	485	18	,	,	PUNCT
ejpam-5401	485	19	v	v	NOUN
ejpam-5401	485	20	ψ	ψ	NOUN
ejpam-5401	485	21	)	)	PUNCT
ejpam-5401	485	22	pc	pc	NOUN
ejpam-5401	485	23	≍	≍	PROPN
ejpam-5401	485	24	⊑	⊑	X
ejpam-5401	485	25	(	(	PUNCT
ejpam-5401	485	26	γ	γ	X
ejpam-5401	485	27	,	,	PUNCT
ejpam-5401	485	28	c	c	NOUN
ejpam-5401	485	29	,	,	PUNCT
ejpam-5401	485	30	v	v	NOUN
ejpam-5401	485	31	ψ	ψ	NOUN
ejpam-5401	485	32	)	)	PUNCT
ejpam-5401	485	33	pc	pc	NOUN
ejpam-5401	485	34	.	.	PUNCT
ejpam-5401	486	1	proof	proof	NOUN
ejpam-5401	486	2	.	.	PUNCT
ejpam-5401	487	1	obvious	obvious	ADJ
ejpam-5401	487	2	.	.	PUNCT
ejpam-5401	488	1	6	6	X
ejpam-5401	488	2	.	.	X
ejpam-5401	488	3	conclusion	conclusion	NOUN
ejpam-5401	488	4	in	in	ADP
ejpam-5401	488	5	this	this	DET
ejpam-5401	488	6	paper	paper	NOUN
ejpam-5401	488	7	,	,	PUNCT
ejpam-5401	488	8	we	we	PRON
ejpam-5401	488	9	have	have	AUX
ejpam-5401	488	10	introduced	introduce	VERB
ejpam-5401	488	11	the	the	DET
ejpam-5401	488	12	concept	concept	NOUN
ejpam-5401	488	13	of	of	ADP
ejpam-5401	488	14	plithogenic	plithogenic	ADJ
ejpam-5401	488	15	crisp	crisp	ADJ
ejpam-5401	488	16	hypersoft	hypersoft	NOUN
ejpam-5401	488	17	sets	set	NOUN
ejpam-5401	488	18	and	and	CCONJ
ejpam-5401	488	19	plithogenic	plithogenic	ADJ
ejpam-5401	488	20	crisp	crisp	ADJ
ejpam-5401	488	21	hypersoft	hypersoft	NOUN
ejpam-5401	488	22	topological	topological	ADJ
ejpam-5401	488	23	spaces	space	NOUN
ejpam-5401	488	24	as	as	ADP
ejpam-5401	488	25	an	an	DET
ejpam-5401	488	26	extension	extension	NOUN
ejpam-5401	488	27	of	of	ADP
ejpam-5401	488	28	the	the	DET
ejpam-5401	488	29	idea	idea	NOUN
ejpam-5401	488	30	of	of	ADP
ejpam-5401	488	31	hypersoft	hypersoft	NOUN
ejpam-5401	488	32	sets	set	NOUN
ejpam-5401	488	33	which	which	PRON
ejpam-5401	488	34	are	be	AUX
ejpam-5401	488	35	defined	define	VERB
ejpam-5401	488	36	over	over	ADP
ejpam-5401	488	37	an	an	DET
ejpam-5401	488	38	initial	initial	ADJ
ejpam-5401	488	39	universal	universal	NOUN
ejpam-5401	488	40	set	set	NOUN
ejpam-5401	488	41	with	with	ADP
ejpam-5401	488	42	a	a	DET
ejpam-5401	488	43	fixed	fix	VERB
ejpam-5401	488	44	set	set	NOUN
ejpam-5401	488	45	of	of	ADP
ejpam-5401	488	46	parameters	parameter	NOUN
ejpam-5401	488	47	.	.	PUNCT
ejpam-5401	489	1	some	some	DET
ejpam-5401	489	2	concepts	concept	NOUN
ejpam-5401	489	3	such	such	ADJ
ejpam-5401	489	4	as	as	ADP
ejpam-5401	489	5	plithogenic	plithogenic	ADJ
ejpam-5401	489	6	crisp	crisp	ADJ
ejpam-5401	489	7	hypersoft	hypersoft	NOUN
ejpam-5401	489	8	closure	closure	NOUN
ejpam-5401	489	9	and	and	CCONJ
ejpam-5401	489	10	plithogenic	plithogenic	ADJ
ejpam-5401	489	11	crisp	crisp	ADJ
ejpam-5401	489	12	hypersoft	hypersoft	ADJ
ejpam-5401	489	13	interior	interior	NOUN
ejpam-5401	489	14	which	which	PRON
ejpam-5401	489	15	are	be	AUX
ejpam-5401	489	16	based	base	VERB
ejpam-5401	489	17	on	on	ADP
ejpam-5401	489	18	our	our	PRON
ejpam-5401	489	19	definition	definition	NOUN
ejpam-5401	489	20	were	be	AUX
ejpam-5401	489	21	introduced	introduce	VERB
ejpam-5401	489	22	.	.	PUNCT
ejpam-5401	490	1	for	for	ADP
ejpam-5401	490	2	future	future	ADJ
ejpam-5401	490	3	study	study	NOUN
ejpam-5401	490	4	,	,	PUNCT
ejpam-5401	490	5	we	we	PRON
ejpam-5401	490	6	can	can	AUX
ejpam-5401	490	7	study	study	VERB
ejpam-5401	490	8	plithogenic	plithogenic	ADJ
ejpam-5401	490	9	crisp	crisp	ADJ
ejpam-5401	490	10	hypersoft	hypersoft	NOUN
ejpam-5401	490	11	continuity	continuity	NOUN
ejpam-5401	490	12	and	and	CCONJ
ejpam-5401	490	13	the	the	DET
ejpam-5401	490	14	most	most	ADV
ejpam-5401	490	15	important	important	ADJ
ejpam-5401	490	16	fundamental	fundamental	ADJ
ejpam-5401	490	17	topological	topological	ADJ
ejpam-5401	490	18	properties	property	NOUN
ejpam-5401	490	19	such	such	ADJ
ejpam-5401	490	20	as	as	ADP
ejpam-5401	490	21	plithogenic	plithogenic	ADJ
ejpam-5401	490	22	crisp	crisp	ADJ
ejpam-5401	490	23	hypersoft	hypersoft	ADJ
ejpam-5401	490	24	connectedness	connectedness	NOUN
ejpam-5401	490	25	.	.	PUNCT
ejpam-5401	491	1	also	also	ADV
ejpam-5401	491	2	,	,	PUNCT
ejpam-5401	491	3	this	this	DET
ejpam-5401	491	4	study	study	NOUN
ejpam-5401	491	5	will	will	AUX
ejpam-5401	491	6	be	be	AUX
ejpam-5401	491	7	an	an	DET
ejpam-5401	491	8	entrance	entrance	NOUN
ejpam-5401	491	9	to	to	ADP
ejpam-5401	491	10	more	more	ADJ
ejpam-5401	491	11	study	study	NOUN
ejpam-5401	491	12	such	such	ADJ
ejpam-5401	491	13	as	as	ADP
ejpam-5401	491	14	;	;	PUNCT
ejpam-5401	491	15	plithogenic	plithogenic	ADJ
ejpam-5401	491	16	fuzzy	fuzzy	ADJ
ejpam-5401	491	17	hypersoft	hypersoft	NOUN
ejpam-5401	491	18	sets	set	NOUN
ejpam-5401	491	19	,	,	PUNCT
ejpam-5401	491	20	plithogenic	plithogenic	ADJ
ejpam-5401	491	21	intuitionistic	intuitionistic	ADJ
ejpam-5401	491	22	fuzzy	fuzzy	ADJ
ejpam-5401	491	23	hypersoft	hypersoft	NOUN
ejpam-5401	491	24	sets	set	NOUN
ejpam-5401	491	25	and	and	CCONJ
ejpam-5401	491	26	plithogenic	plithogenic	ADJ
ejpam-5401	491	27	neutrosophic	neutrosophic	ADJ
ejpam-5401	491	28	hypersoft	hypersoft	NOUN
ejpam-5401	491	29	sets	set	NOUN
ejpam-5401	491	30	.	.	PUNCT
ejpam-5401	492	1	acknowledgements	acknowledgement	NOUN
ejpam-5401	492	2	we	we	PRON
ejpam-5401	492	3	would	would	AUX
ejpam-5401	492	4	like	like	VERB
ejpam-5401	492	5	to	to	PART
ejpam-5401	492	6	express	express	VERB
ejpam-5401	492	7	our	our	PRON
ejpam-5401	492	8	deepest	deep	ADJ
ejpam-5401	492	9	gratitude	gratitude	NOUN
ejpam-5401	492	10	to	to	ADP
ejpam-5401	492	11	the	the	DET
ejpam-5401	492	12	referees	referee	NOUN
ejpam-5401	492	13	for	for	ADP
ejpam-5401	492	14	their	their	PRON
ejpam-5401	492	15	insightful	insightful	ADJ
ejpam-5401	492	16	comments	comment	NOUN
ejpam-5401	492	17	and	and	CCONJ
ejpam-5401	492	18	suggestions	suggestion	NOUN
ejpam-5401	492	19	,	,	PUNCT
ejpam-5401	492	20	which	which	PRON
ejpam-5401	492	21	significantly	significantly	ADV
ejpam-5401	492	22	improved	improve	VERB
ejpam-5401	492	23	the	the	DET
ejpam-5401	492	24	quality	quality	NOUN
ejpam-5401	492	25	of	of	ADP
ejpam-5401	492	26	this	this	DET
ejpam-5401	492	27	work	work	NOUN
ejpam-5401	492	28	.	.	PUNCT
ejpam-5401	493	1	references	reference	NOUN
ejpam-5401	493	2	[	[	X
ejpam-5401	493	3	1	1	NUM
ejpam-5401	493	4	]	]	PUNCT
ejpam-5401	493	5	m.	m.	NOUN
ejpam-5401	493	6	abbas	abbas	PROPN
ejpam-5401	493	7	,	,	PUNCT
ejpam-5401	493	8	g.	g.	PROPN
ejpam-5401	493	9	murtaza	murtaza	PROPN
ejpam-5401	493	10	,	,	PUNCT
ejpam-5401	493	11	and	and	CCONJ
ejpam-5401	493	12	f.	f.	PROPN
ejpam-5401	493	13	smarandache	smarandache	PROPN
ejpam-5401	493	14	.	.	PUNCT
ejpam-5401	494	1	basic	basic	ADJ
ejpam-5401	494	2	operations	operation	NOUN
ejpam-5401	494	3	on	on	ADP
ejpam-5401	494	4	hypersoft	hypersoft	NOUN
ejpam-5401	494	5	sets	set	NOUN
ejpam-5401	494	6	and	and	CCONJ
ejpam-5401	494	7	hypersoft	hypersoft	NOUN
ejpam-5401	494	8	point	point	NOUN
ejpam-5401	494	9	.	.	PUNCT
ejpam-5401	495	1	neutrosophic	neutrosophic	ADJ
ejpam-5401	495	2	sets	set	VERB
ejpam-5401	495	3	syst	syst	PROPN
ejpam-5401	495	4	.	.	PUNCT
ejpam-5401	495	5	,	,	PUNCT
ejpam-5401	495	6	35:407–421	35:407–421	PROPN
ejpam-5401	495	7	,	,	PUNCT
ejpam-5401	495	8	2020	2020	NUM
ejpam-5401	495	9	.	.	PUNCT
ejpam-5401	496	1	[	[	X
ejpam-5401	496	2	2	2	NUM
ejpam-5401	496	3	]	]	PUNCT
ejpam-5401	496	4	a.	a.	NOUN
ejpam-5401	496	5	a.	a.	PROPN
ejpam-5401	496	6	agboola	agboola	PROPN
ejpam-5401	496	7	and	and	CCONJ
ejpam-5401	496	8	m.	m.	PROPN
ejpam-5401	496	9	a.	a.	PROPN
ejpam-5401	496	10	ibrahim	ibrahim	PROPN
ejpam-5401	496	11	.	.	PUNCT
ejpam-5401	497	1	on	on	ADP
ejpam-5401	497	2	symbolic	symbolic	ADJ
ejpam-5401	497	3	plithogenic	plithogenic	ADJ
ejpam-5401	497	4	algebraic	algebraic	PROPN
ejpam-5401	497	5	structures	structure	NOUN
ejpam-5401	497	6	and	and	CCONJ
ejpam-5401	497	7	hyper	hyper	ADJ
ejpam-5401	497	8	structures	structure	NOUN
ejpam-5401	497	9	.	.	PUNCT
ejpam-5401	498	1	neutrosophic	neutrosophic	ADJ
ejpam-5401	498	2	sets	set	VERB
ejpam-5401	498	3	syst	syst	PROPN
ejpam-5401	498	4	.	.	PUNCT
ejpam-5401	498	5	,	,	PUNCT
ejpam-5401	498	6	56:245–262	56:245–262	PROPN
ejpam-5401	498	7	,	,	PUNCT
ejpam-5401	498	8	2023	2023	NUM
ejpam-5401	498	9	.	.	PUNCT
ejpam-5401	499	1	[	[	X
ejpam-5401	499	2	3	3	X
ejpam-5401	499	3	]	]	PUNCT
ejpam-5401	499	4	t.	t.	PROPN
ejpam-5401	499	5	m.	m.	PROPN
ejpam-5401	499	6	al	al	PROPN
ejpam-5401	499	7	-	-	PUNCT
ejpam-5401	499	8	shami	shami	PROPN
ejpam-5401	499	9	,	,	PUNCT
ejpam-5401	499	10	l.	l.	PROPN
ejpam-5401	499	11	d.	d.	PROPN
ejpam-5401	499	12	koˇcinac	koˇcinac	PROPN
ejpam-5401	499	13	,	,	PUNCT
ejpam-5401	499	14	and	and	CCONJ
ejpam-5401	499	15	b.	b.	PROPN
ejpam-5401	499	16	a.	a.	PROPN
ejpam-5401	499	17	asaad	asaad	PROPN
ejpam-5401	499	18	.	.	PUNCT
ejpam-5401	500	1	sum	sum	NOUN
ejpam-5401	500	2	of	of	ADP
ejpam-5401	500	3	soft	soft	ADJ
ejpam-5401	500	4	topological	topological	ADJ
ejpam-5401	500	5	spaces	space	NOUN
ejpam-5401	500	6	.	.	PUNCT
ejpam-5401	501	1	mathematics	mathematic	NOUN
ejpam-5401	501	2	,	,	PUNCT
ejpam-5401	501	3	8:990	8:990	NUM
ejpam-5401	501	4	,	,	PUNCT
ejpam-5401	501	5	2020	2020	NUM
ejpam-5401	501	6	.	.	PUNCT
ejpam-5401	502	1	references	reference	NOUN
ejpam-5401	502	2	3059	3059	NUM
ejpam-5401	502	3	[	[	X
ejpam-5401	502	4	4	4	NUM
ejpam-5401	502	5	]	]	PUNCT
ejpam-5401	502	6	t.	t.	PROPN
ejpam-5401	502	7	m.	m.	PROPN
ejpam-5401	502	8	al	al	PROPN
ejpam-5401	502	9	-	-	PUNCT
ejpam-5401	502	10	shami	shami	PROPN
ejpam-5401	502	11	,	,	PUNCT
ejpam-5401	502	12	a.	a.	NOUN
ejpam-5401	502	13	mhemdi	mhemdi	PROPN
ejpam-5401	502	14	,	,	PUNCT
ejpam-5401	502	15	a.	a.	NOUN
ejpam-5401	502	16	m.	m.	PROPN
ejpam-5401	502	17	abd	abd	PROPN
ejpam-5401	502	18	el	el	PROPN
ejpam-5401	502	19	-	-	PROPN
ejpam-5401	502	20	latif	latif	PROPN
ejpam-5401	502	21	,	,	PUNCT
ejpam-5401	502	22	and	and	CCONJ
ejpam-5401	502	23	f.	f.	PROPN
ejpam-5401	502	24	a.	a.	PROPN
ejpam-5401	502	25	a.	a.	PROPN
ejpam-5401	502	26	shaheen	shaheen	PROPN
ejpam-5401	502	27	.	.	PUNCT
ejpam-5401	503	1	finite	finite	VERB
ejpam-5401	503	2	soft	soft	ADJ
ejpam-5401	503	3	-	-	PUNCT
ejpam-5401	503	4	open	open	ADJ
ejpam-5401	503	5	sets	set	NOUN
ejpam-5401	503	6	:	:	PUNCT
ejpam-5401	504	1	characterizations	characterization	NOUN
ejpam-5401	504	2	,	,	PUNCT
ejpam-5401	504	3	operators	operator	NOUN
ejpam-5401	504	4	and	and	CCONJ
ejpam-5401	504	5	continuity	continuity	NOUN
ejpam-5401	504	6	.	.	PUNCT
ejpam-5401	505	1	aims	aim	VERB
ejpam-5401	505	2	mathematics	mathematic	NOUN
ejpam-5401	505	3	,	,	PUNCT
ejpam-5401	505	4	9(4):10363–10385	9(4):10363–10385	PROPN
ejpam-5401	505	5	,	,	PUNCT
ejpam-5401	505	6	2024	2024	NUM
ejpam-5401	505	7	.	.	PUNCT
ejpam-5401	506	1	[	[	X
ejpam-5401	506	2	5	5	NUM
ejpam-5401	506	3	]	]	PUNCT
ejpam-5401	506	4	m.	m.	PROPN
ejpam-5401	506	5	ali	ali	PROPN
ejpam-5401	506	6	,	,	PUNCT
ejpam-5401	506	7	f.	f.	PROPN
ejpam-5401	506	8	feng	feng	PROPN
ejpam-5401	506	9	,	,	PUNCT
ejpam-5401	506	10	x.	x.	PROPN
ejpam-5401	506	11	liu	liu	PROPN
ejpam-5401	506	12	,	,	PUNCT
ejpam-5401	506	13	w.	w.	PROPN
ejpam-5401	506	14	min	min	PROPN
ejpam-5401	506	15	,	,	PUNCT
ejpam-5401	506	16	and	and	CCONJ
ejpam-5401	506	17	m.	m.	NOUN
ejpam-5401	506	18	shabir	shabir	PROPN
ejpam-5401	506	19	.	.	PUNCT
ejpam-5401	507	1	on	on	ADP
ejpam-5401	507	2	some	some	DET
ejpam-5401	507	3	new	new	ADJ
ejpam-5401	507	4	operations	operation	NOUN
ejpam-5401	507	5	in	in	ADP
ejpam-5401	507	6	soft	soft	ADJ
ejpam-5401	507	7	set	set	NOUN
ejpam-5401	507	8	theory	theory	NOUN
ejpam-5401	507	9	.	.	PUNCT
ejpam-5401	508	1	comput	comput	NOUN
ejpam-5401	508	2	.	.	PUNCT
ejpam-5401	509	1	math	math	NOUN
ejpam-5401	509	2	.	.	PUNCT
ejpam-5401	510	1	appl	appl	PROPN
ejpam-5401	510	2	.	.	PROPN
ejpam-5401	510	3	,	,	PUNCT
ejpam-5401	510	4	57:1547–1553	57:1547–1553	NUM
ejpam-5401	510	5	,	,	PUNCT
ejpam-5401	510	6	2009	2009	NUM
ejpam-5401	510	7	.	.	PUNCT
ejpam-5401	511	1	[	[	X
ejpam-5401	511	2	6	6	NUM
ejpam-5401	511	3	]	]	PUNCT
ejpam-5401	511	4	b.	b.	PROPN
ejpam-5401	511	5	a.	a.	PROPN
ejpam-5401	511	6	asaad	asaad	PROPN
ejpam-5401	511	7	and	and	CCONJ
ejpam-5401	511	8	s.	s.	PROPN
ejpam-5401	511	9	y.	y.	PROPN
ejpam-5401	511	10	musa	musa	PROPN
ejpam-5401	511	11	.	.	PUNCT
ejpam-5401	512	1	continuity	continuity	NOUN
ejpam-5401	512	2	and	and	CCONJ
ejpam-5401	512	3	compactness	compactness	NOUN
ejpam-5401	512	4	via	via	ADP
ejpam-5401	512	5	hypersoft	hypersoft	PROPN
ejpam-5401	512	6	open	open	ADJ
ejpam-5401	512	7	sets	set	NOUN
ejpam-5401	512	8	.	.	PUNCT
ejpam-5401	513	1	international	international	ADJ
ejpam-5401	513	2	journal	journal	PROPN
ejpam-5401	513	3	of	of	ADP
ejpam-5401	513	4	neutrosophic	neutrosophic	ADJ
ejpam-5401	513	5	science	science	NOUN
ejpam-5401	513	6	,	,	PUNCT
ejpam-5401	513	7	19(2):19–29	19(2):19–29	NUM
ejpam-5401	513	8	,	,	PUNCT
ejpam-5401	513	9	2022	2022	NUM
ejpam-5401	513	10	.	.	PUNCT
ejpam-5401	514	1	[	[	X
ejpam-5401	514	2	7	7	X
ejpam-5401	514	3	]	]	X
ejpam-5401	514	4	b.	b.	PROPN
ejpam-5401	514	5	a.	a.	PROPN
ejpam-5401	514	6	asaad	asaad	PROPN
ejpam-5401	514	7	and	and	CCONJ
ejpam-5401	514	8	s.	s.	PROPN
ejpam-5401	514	9	y.	y.	PROPN
ejpam-5401	514	10	musa	musa	PROPN
ejpam-5401	514	11	.	.	PUNCT
ejpam-5401	515	1	hypersoft	hypersoft	PROPN
ejpam-5401	515	2	separation	separation	NOUN
ejpam-5401	515	3	axioms	axiom	VERB
ejpam-5401	515	4	.	.	PUNCT
ejpam-5401	516	1	filomat	filomat	NOUN
ejpam-5401	516	2	,	,	PUNCT
ejpam-5401	516	3	36(19):6679	36(19):6679	NUM
ejpam-5401	516	4	–	–	PUNCT
ejpam-5401	516	5	6686	6686	NUM
ejpam-5401	516	6	,	,	PUNCT
ejpam-5401	516	7	2022	2022	NUM
ejpam-5401	516	8	.	.	PUNCT
ejpam-5401	517	1	[	[	X
ejpam-5401	517	2	8	8	NUM
ejpam-5401	517	3	]	]	PUNCT
ejpam-5401	517	4	k.	k.	PROPN
ejpam-5401	518	1	v.	v.	PROPN
ejpam-5401	518	2	babitha	babitha	PROPN
ejpam-5401	518	3	and	and	CCONJ
ejpam-5401	518	4	j.	j.	PROPN
ejpam-5401	518	5	j.	j.	PROPN
ejpam-5401	518	6	sunil	sunil	PROPN
ejpam-5401	518	7	.	.	PUNCT
ejpam-5401	518	8	soft	soft	ADJ
ejpam-5401	518	9	set	set	VERB
ejpam-5401	518	10	relations	relation	NOUN
ejpam-5401	518	11	and	and	CCONJ
ejpam-5401	518	12	functions	function	NOUN
ejpam-5401	518	13	.	.	PUNCT
ejpam-5401	519	1	comput	comput	NOUN
ejpam-5401	519	2	.	.	PUNCT
ejpam-5401	520	1	math	math	NOUN
ejpam-5401	520	2	.	.	PUNCT
ejpam-5401	521	1	appl	appl	PROPN
ejpam-5401	521	2	.	.	PROPN
ejpam-5401	521	3	,	,	PUNCT
ejpam-5401	522	1	60:1840–1849	60:1840–1849	NUM
ejpam-5401	522	2	,	,	PUNCT
ejpam-5401	522	3	2010	2010	NUM
ejpam-5401	522	4	.	.	PUNCT
ejpam-5401	523	1	[	[	X
ejpam-5401	523	2	9	9	NUM
ejpam-5401	523	3	]	]	X
ejpam-5401	523	4	b.	b.	PROPN
ejpam-5401	523	5	basumatary	basumatary	PROPN
ejpam-5401	523	6	,	,	PUNCT
ejpam-5401	523	7	n.	n.	NOUN
ejpam-5401	523	8	wary	wary	ADJ
ejpam-5401	523	9	,	,	PUNCT
ejpam-5401	523	10	m.	m.	NOUN
ejpam-5401	523	11	saeed	saeed	PROPN
ejpam-5401	523	12	,	,	PUNCT
ejpam-5401	523	13	and	and	CCONJ
ejpam-5401	523	14	m.	m.	NOUN
ejpam-5401	523	15	saqlain	saqlain	NOUN
ejpam-5401	523	16	.	.	PUNCT
ejpam-5401	524	1	on	on	ADP
ejpam-5401	524	2	some	some	DET
ejpam-5401	524	3	properties	property	NOUN
ejpam-5401	524	4	of	of	ADP
ejpam-5401	524	5	plithogenic	plithogenic	ADJ
ejpam-5401	524	6	neutrosophic	neutrosophic	ADJ
ejpam-5401	524	7	hypersoft	hypersoft	PROPN
ejpam-5401	524	8	almost	almost	ADV
ejpam-5401	524	9	topological	topological	ADJ
ejpam-5401	524	10	group	group	NOUN
ejpam-5401	524	11	.	.	PUNCT
ejpam-5401	525	1	neutrosophic	neutrosophic	PROPN
ejpam-5401	525	2	sets	set	VERB
ejpam-5401	525	3	syst	syst	PROPN
ejpam-5401	525	4	.	.	PUNCT
ejpam-5401	525	5	,	,	PUNCT
ejpam-5401	525	6	43:169–179	43:169–179	PROPN
ejpam-5401	525	7	,	,	PUNCT
ejpam-5401	525	8	2021	2021	NUM
ejpam-5401	525	9	.	.	PUNCT
ejpam-5401	526	1	[	[	X
ejpam-5401	526	2	10	10	NUM
ejpam-5401	526	3	]	]	X
ejpam-5401	526	4	c.	c.	PROPN
ejpam-5401	526	5	l.	l.	PROPN
ejpam-5401	526	6	chang	chang	PROPN
ejpam-5401	526	7	.	.	PUNCT
ejpam-5401	527	1	fuzzy	fuzzy	ADJ
ejpam-5401	527	2	topological	topological	ADJ
ejpam-5401	527	3	spaces	space	NOUN
ejpam-5401	527	4	.	.	PUNCT
ejpam-5401	528	1	j.	j.	PROPN
ejpam-5401	528	2	math	math	PROPN
ejpam-5401	528	3	.	.	PUNCT
ejpam-5401	529	1	anal	anal	PROPN
ejpam-5401	529	2	.	.	PUNCT
ejpam-5401	530	1	appl	appl	PROPN
ejpam-5401	530	2	.	.	PROPN
ejpam-5401	530	3	,	,	PUNCT
ejpam-5401	531	1	24:182–190	24:182–190	NUM
ejpam-5401	531	2	,	,	PUNCT
ejpam-5401	531	3	1968	1968	NUM
ejpam-5401	531	4	.	.	PUNCT
ejpam-5401	532	1	[	[	X
ejpam-5401	532	2	11	11	NUM
ejpam-5401	532	3	]	]	PUNCT
ejpam-5401	532	4	a.	a.	NOUN
ejpam-5401	532	5	abd	abd	PROPN
ejpam-5401	532	6	el	el	PROPN
ejpam-5401	532	7	-	-	PROPN
ejpam-5401	532	8	latif	latif	PROPN
ejpam-5401	532	9	.	.	PUNCT
ejpam-5401	533	1	some	some	DET
ejpam-5401	533	2	properties	property	NOUN
ejpam-5401	533	3	of	of	ADP
ejpam-5401	533	4	fuzzy	fuzzy	ADJ
ejpam-5401	533	5	supra	supra	PROPN
ejpam-5401	533	6	soft	soft	ADJ
ejpam-5401	533	7	topological	topological	ADJ
ejpam-5401	533	8	spaces	space	NOUN
ejpam-5401	533	9	.	.	PUNCT
ejpam-5401	534	1	european	european	ADJ
ejpam-5401	534	2	journal	journal	PROPN
ejpam-5401	534	3	of	of	ADP
ejpam-5401	534	4	pure	pure	ADJ
ejpam-5401	534	5	and	and	CCONJ
ejpam-5401	534	6	applied	applied	ADJ
ejpam-5401	534	7	mathematics	mathematic	NOUN
ejpam-5401	534	8	,	,	PUNCT
ejpam-5401	534	9	12(3):999–1017	12(3):999–1017	NUM
ejpam-5401	534	10	,	,	PUNCT
ejpam-5401	534	11	2019	2019	NUM
ejpam-5401	534	12	.	.	PUNCT
ejpam-5401	535	1	[	[	X
ejpam-5401	535	2	12	12	NUM
ejpam-5401	535	3	]	]	PUNCT
ejpam-5401	535	4	a.	a.	PROPN
ejpam-5401	535	5	fadel	fadel	PROPN
ejpam-5401	535	6	and	and	CCONJ
ejpam-5401	535	7	s.	s.	PROPN
ejpam-5401	535	8	c.	c.	PROPN
ejpam-5401	535	9	dzul	dzul	PROPN
ejpam-5401	535	10	-	-	PUNCT
ejpam-5401	535	11	kïı	kïı	NOUN
ejpam-5401	535	12	.	.	PUNCT
ejpam-5401	536	1	bipolar	bipolar	ADJ
ejpam-5401	536	2	soft	soft	ADJ
ejpam-5401	536	3	topological	topological	ADJ
ejpam-5401	536	4	spaces	space	NOUN
ejpam-5401	536	5	.	.	PUNCT
ejpam-5401	537	1	european	european	ADJ
ejpam-5401	537	2	journal	journal	PROPN
ejpam-5401	537	3	of	of	ADP
ejpam-5401	537	4	pure	pure	ADJ
ejpam-5401	537	5	and	and	CCONJ
ejpam-5401	537	6	applied	applied	ADJ
ejpam-5401	537	7	mathematics	mathematic	NOUN
ejpam-5401	537	8	,	,	PUNCT
ejpam-5401	537	9	13(2):227–245	13(2):227–245	NUM
ejpam-5401	537	10	,	,	PUNCT
ejpam-5401	537	11	2020	2020	NUM
ejpam-5401	537	12	.	.	PUNCT
ejpam-5401	538	1	[	[	X
ejpam-5401	538	2	13	13	NUM
ejpam-5401	538	3	]	]	PUNCT
ejpam-5401	538	4	s.	s.	PROPN
ejpam-5401	538	5	gayen	gayen	PROPN
ejpam-5401	538	6	,	,	PUNCT
ejpam-5401	538	7	f.	f.	PROPN
ejpam-5401	538	8	smarandache	smarandache	PROPN
ejpam-5401	538	9	,	,	PUNCT
ejpam-5401	538	10	s.	s.	PROPN
ejpam-5401	538	11	jha	jha	PROPN
ejpam-5401	538	12	,	,	PUNCT
ejpam-5401	538	13	m.	m.	PROPN
ejpam-5401	538	14	k.	k.	PROPN
ejpam-5401	538	15	singh	singh	PROPN
ejpam-5401	538	16	,	,	PUNCT
ejpam-5401	538	17	s.	s.	PROPN
ejpam-5401	538	18	broumi	broumi	PROPN
ejpam-5401	538	19	,	,	PUNCT
ejpam-5401	538	20	and	and	CCONJ
ejpam-5401	538	21	r.	r.	PROPN
ejpam-5401	538	22	kumar	kumar	PROPN
ejpam-5401	538	23	.	.	PROPN
ejpam-5401	539	1	introduction	introduction	NOUN
ejpam-5401	539	2	to	to	ADP
ejpam-5401	539	3	plithogenic	plithogenic	ADJ
ejpam-5401	539	4	hypersoft	hypersoft	PROPN
ejpam-5401	539	5	subgroup	subgroup	PROPN
ejpam-5401	539	6	.	.	PUNCT
ejpam-5401	540	1	neutrosophic	neutrosophic	PROPN
ejpam-5401	540	2	sets	set	VERB
ejpam-5401	540	3	syst	syst	PROPN
ejpam-5401	540	4	.	.	PUNCT
ejpam-5401	540	5	,	,	PUNCT
ejpam-5401	540	6	33:208–233	33:208–233	NUM
ejpam-5401	540	7	,	,	PUNCT
ejpam-5401	540	8	2020	2020	NUM
ejpam-5401	540	9	.	.	PUNCT
ejpam-5401	541	1	[	[	X
ejpam-5401	541	2	14	14	NUM
ejpam-5401	541	3	]	]	X
ejpam-5401	541	4	r.	r.	PROPN
ejpam-5401	541	5	lowen	lowen	PROPN
ejpam-5401	541	6	.	.	PUNCT
ejpam-5401	542	1	fuzzy	fuzzy	ADJ
ejpam-5401	542	2	topological	topological	ADJ
ejpam-5401	542	3	spaces	space	NOUN
ejpam-5401	542	4	and	and	CCONJ
ejpam-5401	542	5	fuzzy	fuzzy	ADJ
ejpam-5401	542	6	compactness	compactness	NOUN
ejpam-5401	542	7	.	.	PUNCT
ejpam-5401	543	1	j.	j.	PROPN
ejpam-5401	543	2	math	math	PROPN
ejpam-5401	543	3	.	.	PUNCT
ejpam-5401	544	1	anal	anal	PROPN
ejpam-5401	544	2	.	.	PUNCT
ejpam-5401	545	1	appl	appl	PROPN
ejpam-5401	545	2	.	.	PROPN
ejpam-5401	545	3	,	,	PUNCT
ejpam-5401	546	1	56:621–633	56:621–633	NUM
ejpam-5401	546	2	,	,	PUNCT
ejpam-5401	546	3	1976	1976	NUM
ejpam-5401	546	4	.	.	PUNCT
ejpam-5401	547	1	[	[	X
ejpam-5401	547	2	15	15	NUM
ejpam-5401	547	3	]	]	X
ejpam-5401	547	4	p.	p.	PROPN
ejpam-5401	547	5	k.	k.	PROPN
ejpam-5401	548	1	maji	maji	PROPN
ejpam-5401	548	2	,	,	PUNCT
ejpam-5401	548	3	r.	r.	PROPN
ejpam-5401	548	4	biswas	biswas	PROPN
ejpam-5401	548	5	,	,	PUNCT
ejpam-5401	548	6	and	and	CCONJ
ejpam-5401	548	7	r.	r.	PROPN
ejpam-5401	548	8	roy	roy	PROPN
ejpam-5401	548	9	.	.	PROPN
ejpam-5401	548	10	soft	soft	ADJ
ejpam-5401	548	11	set	set	PROPN
ejpam-5401	548	12	theory	theory	NOUN
ejpam-5401	548	13	.	.	PUNCT
ejpam-5401	549	1	comput	comput	NOUN
ejpam-5401	549	2	.	.	PUNCT
ejpam-5401	550	1	math	math	NOUN
ejpam-5401	550	2	.	.	PUNCT
ejpam-5401	551	1	appl	appl	PROPN
ejpam-5401	551	2	.	.	PROPN
ejpam-5401	551	3	,	,	PUNCT
ejpam-5401	551	4	45:555–562	45:555–562	PROPN
ejpam-5401	551	5	,	,	PUNCT
ejpam-5401	551	6	2003	2003	NUM
ejpam-5401	551	7	.	.	PUNCT
ejpam-5401	552	1	[	[	X
ejpam-5401	552	2	16	16	NUM
ejpam-5401	552	3	]	]	X
ejpam-5401	552	4	n.	n.	PROPN
ejpam-5401	552	5	martin	martin	PROPN
ejpam-5401	552	6	and	and	CCONJ
ejpam-5401	552	7	f.	f.	PROPN
ejpam-5401	552	8	smarandache	smarandache	PROPN
ejpam-5401	552	9	.	.	PUNCT
ejpam-5401	553	1	concentric	concentric	ADJ
ejpam-5401	553	2	plithogenic	plithogenic	ADJ
ejpam-5401	553	3	hypergraph	hypergraph	NOUN
ejpam-5401	553	4	based	base	VERB
ejpam-5401	553	5	on	on	ADP
ejpam-5401	553	6	plithogenic	plithogenic	ADJ
ejpam-5401	553	7	hypersoft	hypersoft	PROPN
ejpam-5401	553	8	sets	set	NOUN
ejpam-5401	553	9	–	–	PUNCT
ejpam-5401	553	10	a	a	DET
ejpam-5401	553	11	novel	novel	ADJ
ejpam-5401	553	12	outlook	outlook	NOUN
ejpam-5401	553	13	.	.	PUNCT
ejpam-5401	554	1	neutrosophic	neutrosophic	PROPN
ejpam-5401	554	2	sets	set	VERB
ejpam-5401	554	3	syst	syst	PROPN
ejpam-5401	554	4	.	.	PUNCT
ejpam-5401	554	5	,	,	PUNCT
ejpam-5401	554	6	33:78–91	33:78–91	NUM
ejpam-5401	554	7	,	,	PUNCT
ejpam-5401	554	8	2020	2020	NUM
ejpam-5401	554	9	.	.	PUNCT
ejpam-5401	555	1	[	[	X
ejpam-5401	555	2	17	17	NUM
ejpam-5401	555	3	]	]	X
ejpam-5401	555	4	n.	n.	PROPN
ejpam-5401	555	5	martin	martin	PROPN
ejpam-5401	555	6	and	and	CCONJ
ejpam-5401	555	7	f.	f.	PROPN
ejpam-5401	555	8	smarandache	smarandache	PROPN
ejpam-5401	555	9	.	.	PUNCT
ejpam-5401	556	1	introduction	introduction	NOUN
ejpam-5401	556	2	to	to	ADP
ejpam-5401	556	3	combined	combine	VERB
ejpam-5401	556	4	plithogenic	plithogenic	ADJ
ejpam-5401	556	5	hypersoft	hypersoft	PROPN
ejpam-5401	556	6	sets	set	NOUN
ejpam-5401	556	7	.	.	PUNCT
ejpam-5401	557	1	neutrosophic	neutrosophic	ADJ
ejpam-5401	557	2	sets	set	VERB
ejpam-5401	557	3	syst	syst	PROPN
ejpam-5401	557	4	.	.	PUNCT
ejpam-5401	557	5	,	,	PUNCT
ejpam-5401	557	6	35:503–510	35:503–510	NUM
ejpam-5401	557	7	,	,	PUNCT
ejpam-5401	557	8	2020	2020	NUM
ejpam-5401	557	9	.	.	PUNCT
ejpam-5401	558	1	[	[	X
ejpam-5401	558	2	18	18	NUM
ejpam-5401	558	3	]	]	X
ejpam-5401	558	4	d.	d.	PROPN
ejpam-5401	558	5	molodtsov	molodtsov	PROPN
ejpam-5401	558	6	.	.	PUNCT
ejpam-5401	559	1	soft	soft	ADJ
ejpam-5401	559	2	set	set	NOUN
ejpam-5401	559	3	theory	theory	NOUN
ejpam-5401	559	4	-	-	PUNCT
ejpam-5401	559	5	first	first	ADJ
ejpam-5401	559	6	results	result	NOUN
ejpam-5401	559	7	.	.	PUNCT
ejpam-5401	560	1	comput	comput	NOUN
ejpam-5401	560	2	.	.	PUNCT
ejpam-5401	561	1	math	math	NOUN
ejpam-5401	561	2	.	.	PUNCT
ejpam-5401	562	1	appl	appl	PROPN
ejpam-5401	562	2	.	.	PROPN
ejpam-5401	562	3	,	,	PUNCT
ejpam-5401	562	4	37:19–31	37:19–31	PROPN
ejpam-5401	562	5	,	,	PUNCT
ejpam-5401	562	6	1999	1999	NUM
ejpam-5401	562	7	.	.	PUNCT
ejpam-5401	563	1	[	[	X
ejpam-5401	563	2	19	19	NUM
ejpam-5401	563	3	]	]	PUNCT
ejpam-5401	563	4	s.	s.	PROPN
ejpam-5401	563	5	y.	y.	PROPN
ejpam-5401	563	6	musa	musa	PROPN
ejpam-5401	563	7	and	and	CCONJ
ejpam-5401	563	8	b.	b.	PROPN
ejpam-5401	563	9	a.	a.	PROPN
ejpam-5401	563	10	asaad	asaad	PROPN
ejpam-5401	563	11	.	.	PUNCT
ejpam-5401	564	1	connectedness	connectedness	NOUN
ejpam-5401	564	2	on	on	ADP
ejpam-5401	564	3	hypersoft	hypersoft	PROPN
ejpam-5401	564	4	topological	topological	ADJ
ejpam-5401	564	5	spaces	space	NOUN
ejpam-5401	564	6	.	.	PUNCT
ejpam-5401	565	1	neutrosophic	neutrosophic	ADJ
ejpam-5401	565	2	sets	set	NOUN
ejpam-5401	565	3	and	and	CCONJ
ejpam-5401	565	4	systems	system	NOUN
ejpam-5401	565	5	,	,	PUNCT
ejpam-5401	565	6	51(1):42	51(1):42	NUM
ejpam-5401	565	7	,	,	PUNCT
ejpam-5401	565	8	2022	2022	NUM
ejpam-5401	565	9	.	.	PUNCT
ejpam-5401	566	1	references	reference	NOUN
ejpam-5401	566	2	3060	3060	NUM
ejpam-5401	566	3	[	[	X
ejpam-5401	566	4	20	20	NUM
ejpam-5401	566	5	]	]	PUNCT
ejpam-5401	566	6	s.	s.	PROPN
ejpam-5401	566	7	y.	y.	PROPN
ejpam-5401	566	8	musa	musa	PROPN
ejpam-5401	566	9	and	and	CCONJ
ejpam-5401	566	10	b.	b.	PROPN
ejpam-5401	566	11	a.	a.	PROPN
ejpam-5401	566	12	asaad	asaad	PROPN
ejpam-5401	566	13	.	.	PUNCT
ejpam-5401	567	1	hypersoft	hypersoft	PROPN
ejpam-5401	567	2	topological	topological	ADJ
ejpam-5401	567	3	spaces	space	NOUN
ejpam-5401	567	4	.	.	PUNCT
ejpam-5401	568	1	neutrosophic	neutrosophic	ADJ
ejpam-5401	568	2	sets	set	VERB
ejpam-5401	568	3	syst	syst	PROPN
ejpam-5401	568	4	.	.	PUNCT
ejpam-5401	568	5	,	,	PUNCT
ejpam-5401	568	6	49:397–415	49:397–415	PROPN
ejpam-5401	568	7	,	,	PUNCT
ejpam-5401	568	8	2022	2022	NUM
ejpam-5401	568	9	.	.	PUNCT
ejpam-5401	569	1	[	[	X
ejpam-5401	569	2	21	21	NUM
ejpam-5401	569	3	]	]	PUNCT
ejpam-5401	569	4	s.	s.	PROPN
ejpam-5401	569	5	y.	y.	PROPN
ejpam-5401	569	6	musa	musa	PROPN
ejpam-5401	569	7	,	,	PUNCT
ejpam-5401	569	8	r.	r.	PROPN
ejpam-5401	569	9	a.	a.	PROPN
ejpam-5401	569	10	mohammed	mohammed	PROPN
ejpam-5401	569	11	,	,	PUNCT
ejpam-5401	569	12	and	and	CCONJ
ejpam-5401	569	13	b.	b.	PROPN
ejpam-5401	569	14	a.	a.	PROPN
ejpam-5401	569	15	asaad	asaad	PROPN
ejpam-5401	569	16	.	.	PUNCT
ejpam-5401	570	1	n	n	X
ejpam-5401	570	2	-	-	PUNCT
ejpam-5401	570	3	hypersoft	hypersoft	NOUN
ejpam-5401	570	4	sets	set	VERB
ejpam-5401	570	5	:	:	PUNCT
ejpam-5401	570	6	an	an	DET
ejpam-5401	570	7	innovative	innovative	ADJ
ejpam-5401	570	8	extension	extension	NOUN
ejpam-5401	570	9	of	of	ADP
ejpam-5401	570	10	hypersoft	hypersoft	NOUN
ejpam-5401	570	11	sets	set	NOUN
ejpam-5401	570	12	and	and	CCONJ
ejpam-5401	570	13	their	their	PRON
ejpam-5401	570	14	applications	application	NOUN
ejpam-5401	570	15	.	.	PUNCT
ejpam-5401	571	1	symmetry	symmetry	NOUN
ejpam-5401	571	2	,	,	PUNCT
ejpam-5401	571	3	15(9):1795	15(9):1795	NUM
ejpam-5401	571	4	,	,	PUNCT
ejpam-5401	571	5	2023	2023	NUM
ejpam-5401	571	6	.	.	PUNCT
ejpam-5401	572	1	[	[	X
ejpam-5401	572	2	22	22	NUM
ejpam-5401	572	3	]	]	PUNCT
ejpam-5401	572	4	a.	a.	NOUN
ejpam-5401	572	5	u.	u.	PROPN
ejpam-5401	572	6	rahman	rahman	PROPN
ejpam-5401	572	7	,	,	PUNCT
ejpam-5401	572	8	m.	m.	PROPN
ejpam-5401	572	9	saeed	saeed	PROPN
ejpam-5401	572	10	,	,	PUNCT
ejpam-5401	572	11	and	and	CCONJ
ejpam-5401	572	12	f.	f.	PROPN
ejpam-5401	572	13	smarandache	smarandache	PROPN
ejpam-5401	572	14	.	.	PUNCT
ejpam-5401	573	1	convex	convex	PROPN
ejpam-5401	573	2	and	and	CCONJ
ejpam-5401	573	3	concave	concave	VERB
ejpam-5401	573	4	hypersoft	hypersoft	NOUN
ejpam-5401	573	5	sets	set	NOUN
ejpam-5401	573	6	with	with	ADP
ejpam-5401	573	7	some	some	DET
ejpam-5401	573	8	properties	property	NOUN
ejpam-5401	573	9	.	.	PUNCT
ejpam-5401	574	1	neutrosophic	neutrosophic	ADJ
ejpam-5401	574	2	sets	set	VERB
ejpam-5401	574	3	syst	syst	PROPN
ejpam-5401	574	4	.	.	PUNCT
ejpam-5401	574	5	,	,	PUNCT
ejpam-5401	574	6	38:497–508	38:497–508	NUM
ejpam-5401	574	7	,	,	PUNCT
ejpam-5401	574	8	2020	2020	NUM
ejpam-5401	574	9	.	.	PUNCT
ejpam-5401	575	1	[	[	X
ejpam-5401	575	2	23	23	NUM
ejpam-5401	575	3	]	]	PUNCT
ejpam-5401	575	4	m.	m.	PROPN
ejpam-5401	575	5	saeed	saeed	PROPN
ejpam-5401	575	6	,	,	PUNCT
ejpam-5401	575	7	m.	m.	PROPN
ejpam-5401	575	8	ahsan	ahsan	PROPN
ejpam-5401	575	9	,	,	PUNCT
ejpam-5401	575	10	m.	m.	NOUN
ejpam-5401	575	11	siddique	siddique	NOUN
ejpam-5401	575	12	,	,	PUNCT
ejpam-5401	575	13	and	and	CCONJ
ejpam-5401	575	14	m.	m.	PROPN
ejpam-5401	575	15	ahmad	ahmad	PROPN
ejpam-5401	575	16	.	.	PUNCT
ejpam-5401	576	1	a	a	DET
ejpam-5401	576	2	study	study	NOUN
ejpam-5401	576	3	of	of	ADP
ejpam-5401	576	4	the	the	DET
ejpam-5401	576	5	fundamentals	fundamental	NOUN
ejpam-5401	576	6	of	of	ADP
ejpam-5401	576	7	hypersoft	hypersoft	NOUN
ejpam-5401	576	8	set	set	VERB
ejpam-5401	576	9	theory	theory	NOUN
ejpam-5401	576	10	.	.	PUNCT
ejpam-5401	577	1	inter	inter	PROPN
ejpam-5401	577	2	.	.	PUNCT
ejpam-5401	578	1	j.	j.	PROPN
ejpam-5401	578	2	sci	sci	PROPN
ejpam-5401	578	3	.	.	PUNCT
ejpam-5401	579	1	eng	eng	PROPN
ejpam-5401	579	2	.	.	PUNCT
ejpam-5401	580	1	res	res	PROPN
ejpam-5401	580	2	.	.	PROPN
ejpam-5401	580	3	,	,	PUNCT
ejpam-5401	580	4	11:1–9	11:1–9	NUM
ejpam-5401	580	5	,	,	PUNCT
ejpam-5401	580	6	2020	2020	NUM
ejpam-5401	580	7	.	.	PUNCT
ejpam-5401	581	1	[	[	X
ejpam-5401	581	2	24	24	NUM
ejpam-5401	581	3	]	]	PUNCT
ejpam-5401	581	4	a.	a.	PROPN
ejpam-5401	581	5	f.	f.	PROPN
ejpam-5401	581	6	sayed	say	VERB
ejpam-5401	581	7	.	.	PUNCT
ejpam-5401	582	1	a	a	DET
ejpam-5401	582	2	view	view	NOUN
ejpam-5401	582	3	on	on	ADP
ejpam-5401	582	4	connectedness	connectedness	NOUN
ejpam-5401	582	5	and	and	CCONJ
ejpam-5401	582	6	compactness	compactness	NOUN
ejpam-5401	582	7	in	in	ADP
ejpam-5401	582	8	fuzzy	fuzzy	ADJ
ejpam-5401	582	9	soft	soft	ADJ
ejpam-5401	582	10	bitopological	bitopological	ADJ
ejpam-5401	582	11	spaces	space	NOUN
ejpam-5401	582	12	.	.	PUNCT
ejpam-5401	583	1	european	european	ADJ
ejpam-5401	583	2	journal	journal	PROPN
ejpam-5401	583	3	of	of	ADP
ejpam-5401	583	4	pure	pure	ADJ
ejpam-5401	583	5	and	and	CCONJ
ejpam-5401	583	6	applied	applied	ADJ
ejpam-5401	583	7	mathematics	mathematic	NOUN
ejpam-5401	583	8	,	,	PUNCT
ejpam-5401	583	9	14(3):760–772	14(3):760–772	NOUN
ejpam-5401	583	10	,	,	PUNCT
ejpam-5401	583	11	2021	2021	NUM
ejpam-5401	583	12	.	.	PUNCT
ejpam-5401	584	1	[	[	X
ejpam-5401	584	2	25	25	NUM
ejpam-5401	584	3	]	]	PUNCT
ejpam-5401	584	4	a.	a.	NOUN
ejpam-5401	584	5	sezgin	sezgin	NOUN
ejpam-5401	584	6	and	and	CCONJ
ejpam-5401	584	7	a.	a.	PROPN
ejpam-5401	584	8	o.	o.	PROPN
ejpam-5401	584	9	atagun	atagun	PROPN
ejpam-5401	584	10	.	.	PUNCT
ejpam-5401	585	1	on	on	ADP
ejpam-5401	585	2	operations	operation	NOUN
ejpam-5401	585	3	on	on	ADP
ejpam-5401	585	4	soft	soft	ADJ
ejpam-5401	585	5	sets	set	NOUN
ejpam-5401	585	6	.	.	PUNCT
ejpam-5401	586	1	comput	comput	NOUN
ejpam-5401	586	2	.	.	PUNCT
ejpam-5401	587	1	math	math	NOUN
ejpam-5401	587	2	.	.	PUNCT
ejpam-5401	588	1	appl	appl	PROPN
ejpam-5401	588	2	.	.	PROPN
ejpam-5401	588	3	,	,	PUNCT
ejpam-5401	588	4	61:1457–1467	61:1457–1467	NUM
ejpam-5401	588	5	,	,	PUNCT
ejpam-5401	588	6	2011	2011	NUM
ejpam-5401	588	7	.	.	PUNCT
ejpam-5401	589	1	[	[	X
ejpam-5401	589	2	26	26	NUM
ejpam-5401	589	3	]	]	PUNCT
ejpam-5401	589	4	f.	f.	PROPN
ejpam-5401	589	5	a.	a.	PROPN
ejpam-5401	589	6	a.	a.	PROPN
ejpam-5401	589	7	shaheen	shaheen	PROPN
ejpam-5401	589	8	,	,	PUNCT
ejpam-5401	589	9	t.	t.	PROPN
ejpam-5401	589	10	m.	m.	PROPN
ejpam-5401	589	11	al	al	PROPN
ejpam-5401	589	12	-	-	PUNCT
ejpam-5401	589	13	shami	shami	PROPN
ejpam-5401	589	14	,	,	PUNCT
ejpam-5401	589	15	m.	m.	NOUN
ejpam-5401	589	16	arar	arar	PROPN
ejpam-5401	589	17	,	,	PUNCT
ejpam-5401	589	18	and	and	CCONJ
ejpam-5401	589	19	o.	o.	PROPN
ejpam-5401	589	20	g.	g.	PROPN
ejpam-5401	589	21	el	el	PROPN
ejpam-5401	589	22	-	-	PROPN
ejpam-5401	589	23	barbary	barbary	NOUN
ejpam-5401	589	24	.	.	PUNCT
ejpam-5401	590	1	supra	supra	PROPN
ejpam-5401	590	2	finite	finite	PROPN
ejpam-5401	590	3	softopen	softopen	PROPN
ejpam-5401	590	4	sets	set	NOUN
ejpam-5401	590	5	and	and	CCONJ
ejpam-5401	590	6	applications	application	NOUN
ejpam-5401	590	7	to	to	ADP
ejpam-5401	590	8	operators	operator	NOUN
ejpam-5401	590	9	and	and	CCONJ
ejpam-5401	590	10	continuity	continuity	NOUN
ejpam-5401	590	11	.	.	PUNCT
ejpam-5401	591	1	mathematics	mathematic	NOUN
ejpam-5401	591	2	,	,	PUNCT
ejpam-5401	591	3	35(2):120–135	35(2):120–135	PROPN
ejpam-5401	591	4	,	,	PUNCT
ejpam-5401	591	5	2024	2024	NUM
ejpam-5401	591	6	.	.	PUNCT
ejpam-5401	592	1	[	[	X
ejpam-5401	592	2	27	27	NUM
ejpam-5401	592	3	]	]	X
ejpam-5401	592	4	f.	f.	PROPN
ejpam-5401	592	5	smarandache	smarandache	PROPN
ejpam-5401	592	6	.	.	PUNCT
ejpam-5401	593	1	extension	extension	NOUN
ejpam-5401	593	2	of	of	ADP
ejpam-5401	593	3	soft	soft	ADJ
ejpam-5401	593	4	set	set	NOUN
ejpam-5401	593	5	to	to	ADP
ejpam-5401	593	6	hypersoft	hypersoft	PROPN
ejpam-5401	593	7	set	set	PROPN
ejpam-5401	593	8	,	,	PUNCT
ejpam-5401	593	9	and	and	CCONJ
ejpam-5401	593	10	then	then	ADV
ejpam-5401	593	11	to	to	ADP
ejpam-5401	593	12	plithogenic	plithogenic	ADJ
ejpam-5401	593	13	hypersoft	hypersoft	PROPN
ejpam-5401	593	14	set	set	PROPN
ejpam-5401	593	15	.	.	PUNCT
ejpam-5401	594	1	neutrosophic	neutrosophic	PROPN
ejpam-5401	594	2	sets	set	VERB
ejpam-5401	594	3	syst	syst	PROPN
ejpam-5401	594	4	.	.	PUNCT
ejpam-5401	594	5	,	,	PUNCT
ejpam-5401	594	6	22:168–170	22:168–170	PROPN
ejpam-5401	594	7	,	,	PUNCT
ejpam-5401	594	8	2018	2018	NUM
ejpam-5401	594	9	.	.	PUNCT
ejpam-5401	595	1	[	[	X
ejpam-5401	595	2	28	28	NUM
ejpam-5401	595	3	]	]	X
ejpam-5401	595	4	f.	f.	PROPN
ejpam-5401	595	5	smarandache	smarandache	PROPN
ejpam-5401	595	6	.	.	PUNCT
ejpam-5401	596	1	introduction	introduction	NOUN
ejpam-5401	596	2	to	to	ADP
ejpam-5401	596	3	plithogenic	plithogenic	ADJ
ejpam-5401	596	4	logic	logic	NOUN
ejpam-5401	596	5	as	as	ADP
ejpam-5401	596	6	generalization	generalization	NOUN
ejpam-5401	596	7	of	of	ADP
ejpam-5401	596	8	multivariate	multivariate	NOUN
ejpam-5401	596	9	logic	logic	NOUN
ejpam-5401	596	10	.	.	PUNCT
ejpam-5401	597	1	neutrosophic	neutrosophic	ADJ
ejpam-5401	597	2	sets	set	VERB
ejpam-5401	597	3	syst	syst	PROPN
ejpam-5401	597	4	.	.	PUNCT
ejpam-5401	597	5	,	,	PUNCT
ejpam-5401	597	6	45:1–7	45:1–7	NOUN
ejpam-5401	597	7	,	,	PUNCT
ejpam-5401	597	8	2021	2021	NUM
ejpam-5401	597	9	.	.	PUNCT