id	sid	tid	token	lemma	pos
ejpam-5956	1	1	european	european	PROPN
ejpam-5956	1	2	journal	journal	PROPN
ejpam-5956	1	3	of	of	ADP
ejpam-5956	1	4	pure	pure	ADJ
ejpam-5956	1	5	and	and	CCONJ
ejpam-5956	1	6	applied	applied	ADJ
ejpam-5956	1	7	mathematics	mathematic	NOUN
ejpam-5956	1	8	2025	2025	NUM
ejpam-5956	1	9	,	,	PUNCT
ejpam-5956	1	10	vol	vol	NOUN
ejpam-5956	1	11	.	.	PROPN
ejpam-5956	1	12	18	18	NUM
ejpam-5956	1	13	,	,	PUNCT
ejpam-5956	1	14	issue	issue	NOUN
ejpam-5956	1	15	2	2	NUM
ejpam-5956	1	16	,	,	PUNCT
ejpam-5956	1	17	article	article	NOUN
ejpam-5956	1	18	number	number	NOUN
ejpam-5956	1	19	5956	5956	NUM
ejpam-5956	1	20	issn	issn	PROPN
ejpam-5956	1	21	1307	1307	NUM
ejpam-5956	1	22	-	-	SYM
ejpam-5956	1	23	5543	5543	NUM
ejpam-5956	1	24	–	–	PUNCT
ejpam-5956	1	25	ejpam.com	ejpam.com	X
ejpam-5956	1	26	published	publish	VERB
ejpam-5956	1	27	by	by	ADP
ejpam-5956	1	28	new	new	PROPN
ejpam-5956	1	29	york	york	PROPN
ejpam-5956	1	30	business	business	PROPN
ejpam-5956	1	31	global	global	ADJ
ejpam-5956	1	32	picture	picture	NOUN
ejpam-5956	1	33	fuzzy	fuzzy	ADJ
ejpam-5956	1	34	modal	modal	NOUN
ejpam-5956	1	35	ideal	ideal	PROPN
ejpam-5956	1	36	multifunctions	multifunctions	PROPN
ejpam-5956	1	37	dali	dali	PROPN
ejpam-5956	1	38	shi1	shi1	PROPN
ejpam-5956	1	39	,	,	PUNCT
ejpam-5956	1	40	m.n	m.n	PROPN
ejpam-5956	1	41	.	.	PROPN
ejpam-5956	1	42	abu_shugair2,∗	abu_shugair2,∗	PROPN
ejpam-5956	1	43	,	,	PUNCT
ejpam-5956	1	44	s.e	s.e	PROPN
ejpam-5956	1	45	.	.	PROPN
ejpam-5956	1	46	abbas3	abbas3	PROPN
ejpam-5956	1	47	,	,	PUNCT
ejpam-5956	1	48	ismail	ismail	PROPN
ejpam-5956	1	49	ibedou4	ibedou4	VERB
ejpam-5956	1	50	1	1	NUM
ejpam-5956	1	51	gugangzhou	gugangzhou	NOUN
ejpam-5956	1	52	college	college	NOUN
ejpam-5956	1	53	of	of	ADP
ejpam-5956	1	54	technology	technology	NOUN
ejpam-5956	1	55	and	and	CCONJ
ejpam-5956	1	56	business	business	NOUN
ejpam-5956	1	57	,	,	PUNCT
ejpam-5956	1	58	china	china	PROPN
ejpam-5956	1	59	2	2	NUM
ejpam-5956	1	60	mathematics	mathematics	PROPN
ejpam-5956	1	61	department	department	NOUN
ejpam-5956	1	62	,	,	PUNCT
ejpam-5956	1	63	college	college	NOUN
ejpam-5956	1	64	of	of	ADP
ejpam-5956	1	65	science	science	PROPN
ejpam-5956	1	66	,	,	PUNCT
ejpam-5956	1	67	jazan	jazan	PROPN
ejpam-5956	1	68	university	university	PROPN
ejpam-5956	1	69	,	,	PUNCT
ejpam-5956	1	70	jazan	jazan	NOUN
ejpam-5956	1	71	45142	45142	NUM
ejpam-5956	1	72	,	,	PUNCT
ejpam-5956	1	73	saudi	saudi	PROPN
ejpam-5956	1	74	arabia	arabia	PROPN
ejpam-5956	1	75	3	3	NUM
ejpam-5956	1	76	mathematics	mathematics	PROPN
ejpam-5956	1	77	department	department	NOUN
ejpam-5956	1	78	,	,	PUNCT
ejpam-5956	1	79	faculty	faculty	NOUN
ejpam-5956	1	80	of	of	ADP
ejpam-5956	1	81	science	science	NOUN
ejpam-5956	1	82	,	,	PUNCT
ejpam-5956	1	83	sohag	sohag	NOUN
ejpam-5956	1	84	university	university	NOUN
ejpam-5956	1	85	,	,	PUNCT
ejpam-5956	1	86	sohag	sohag	NOUN
ejpam-5956	1	87	82524	82524	NUM
ejpam-5956	1	88	,	,	PUNCT
ejpam-5956	1	89	egypt	egypt	PROPN
ejpam-5956	1	90	4	4	NUM
ejpam-5956	1	91	department	department	NOUN
ejpam-5956	1	92	of	of	ADP
ejpam-5956	1	93	mathematics	mathematic	NOUN
ejpam-5956	1	94	,	,	PUNCT
ejpam-5956	1	95	faculty	faculty	NOUN
ejpam-5956	1	96	of	of	ADP
ejpam-5956	1	97	science	science	NOUN
ejpam-5956	1	98	,	,	PUNCT
ejpam-5956	1	99	benha	benha	VERB
ejpam-5956	1	100	university	university	NOUN
ejpam-5956	1	101	,	,	PUNCT
ejpam-5956	1	102	benha	benha	NOUN
ejpam-5956	1	103	13518	13518	NUM
ejpam-5956	1	104	,	,	PUNCT
ejpam-5956	1	105	egypt	egypt	PROPN
ejpam-5956	1	106	abstract	abstract	PROPN
ejpam-5956	1	107	.	.	PUNCT
ejpam-5956	2	1	this	this	DET
ejpam-5956	2	2	paper	paper	NOUN
ejpam-5956	2	3	introduces	introduce	VERB
ejpam-5956	2	4	the	the	DET
ejpam-5956	2	5	notion	notion	NOUN
ejpam-5956	2	6	of	of	ADP
ejpam-5956	2	7	a	a	DET
ejpam-5956	2	8	picture	picture	NOUN
ejpam-5956	2	9	fuzzy	fuzzy	ADJ
ejpam-5956	2	10	modal	modal	ADJ
ejpam-5956	2	11	topological	topological	ADJ
ejpam-5956	2	12	structures	structure	NOUN
ejpam-5956	2	13	(	(	PUNCT
ejpam-5956	2	14	pfmtss	pfmtss	PROPN
ejpam-5956	2	15	)	)	PUNCT
ejpam-5956	2	16	via	via	ADP
ejpam-5956	2	17	ideal	ideal	NOUN
ejpam-5956	2	18	.	.	PUNCT
ejpam-5956	3	1	these	these	DET
ejpam-5956	3	2	structures	structure	NOUN
ejpam-5956	3	3	are	be	AUX
ejpam-5956	3	4	grounded	ground	VERB
ejpam-5956	3	5	on	on	ADP
ejpam-5956	3	6	novel	novel	ADJ
ejpam-5956	3	7	picture	picture	NOUN
ejpam-5956	3	8	fuzzy	fuzzy	ADJ
ejpam-5956	3	9	topological	topological	ADJ
ejpam-5956	3	10	operators	operator	NOUN
ejpam-5956	3	11	for	for	ADP
ejpam-5956	3	12	closure	closure	NOUN
ejpam-5956	3	13	and	and	CCONJ
ejpam-5956	3	14	interior	interior	ADJ
ejpam-5956	3	15	types	type	NOUN
ejpam-5956	3	16	,	,	PUNCT
ejpam-5956	3	17	utilizing	utilize	VERB
ejpam-5956	3	18	the	the	DET
ejpam-5956	3	19	two	two	NUM
ejpam-5956	3	20	standard	standard	ADJ
ejpam-5956	3	21	picture	picture	NOUN
ejpam-5956	3	22	fuzzy	fuzzy	ADJ
ejpam-5956	3	23	modal	modal	NOUN
ejpam-5956	3	24	operators	operator	NOUN
ejpam-5956	3	25	□	□	PUNCT
ejpam-5956	3	26	and	and	CCONJ
ejpam-5956	3	27	3	3	X
ejpam-5956	3	28	.	.	PUNCT
ejpam-5956	4	1	the	the	DET
ejpam-5956	4	2	paper	paper	NOUN
ejpam-5956	4	3	discusses	discuss	VERB
ejpam-5956	4	4	several	several	ADJ
ejpam-5956	4	5	fundamental	fundamental	ADJ
ejpam-5956	4	6	properties	property	NOUN
ejpam-5956	4	7	of	of	ADP
ejpam-5956	4	8	picture	picture	NOUN
ejpam-5956	4	9	fuzzy	fuzzy	ADJ
ejpam-5956	4	10	multifunctions	multifunction	NOUN
ejpam-5956	4	11	pfms	pfms	NOUN
ejpam-5956	4	12	via	via	ADP
ejpam-5956	4	13	ideals	ideal	NOUN
ejpam-5956	4	14	.	.	PUNCT
ejpam-5956	5	1	the	the	DET
ejpam-5956	5	2	results	result	NOUN
ejpam-5956	5	3	indicate	indicate	VERB
ejpam-5956	5	4	that	that	SCONJ
ejpam-5956	5	5	some	some	DET
ejpam-5956	5	6	properties	property	NOUN
ejpam-5956	5	7	considered	consider	VERB
ejpam-5956	5	8	satisfactory	satisfactory	ADJ
ejpam-5956	5	9	in	in	ADP
ejpam-5956	5	10	the	the	DET
ejpam-5956	5	11	intuitionistic	intuitionistic	ADJ
ejpam-5956	5	12	fuzzy	fuzzy	ADJ
ejpam-5956	5	13	modal	modal	ADJ
ejpam-5956	5	14	topological	topological	ADJ
ejpam-5956	5	15	structures	structure	NOUN
ejpam-5956	5	16	,	,	PUNCT
ejpam-5956	5	17	as	as	SCONJ
ejpam-5956	5	18	defined	define	VERB
ejpam-5956	5	19	by	by	ADP
ejpam-5956	5	20	atanassov	atanassov	NOUN
ejpam-5956	5	21	in	in	ADP
ejpam-5956	5	22	2022	2022	NUM
ejpam-5956	5	23	,	,	PUNCT
ejpam-5956	5	24	are	be	AUX
ejpam-5956	5	25	not	not	PART
ejpam-5956	5	26	fulfilled	fulfil	VERB
ejpam-5956	5	27	.	.	PUNCT
ejpam-5956	6	1	also	also	ADV
ejpam-5956	6	2	,	,	PUNCT
ejpam-5956	6	3	we	we	PRON
ejpam-5956	6	4	introduce	introduce	VERB
ejpam-5956	6	5	many	many	ADJ
ejpam-5956	6	6	types	type	NOUN
ejpam-5956	6	7	of	of	ADP
ejpam-5956	6	8	continuous	continuous	ADJ
ejpam-5956	6	9	multifunctions	multifunction	NOUN
ejpam-5956	6	10	between	between	ADP
ejpam-5956	6	11	picture	picture	NOUN
ejpam-5956	6	12	fuzzy	fuzzy	ADJ
ejpam-5956	6	13	ideal	ideal	ADJ
ejpam-5956	6	14	topological	topological	ADJ
ejpam-5956	6	15	spaces	space	NOUN
ejpam-5956	6	16	.	.	PUNCT
ejpam-5956	7	1	2020	2020	NUM
ejpam-5956	7	2	mathematics	mathematic	NOUN
ejpam-5956	7	3	subject	subject	NOUN
ejpam-5956	7	4	classifications	classification	NOUN
ejpam-5956	7	5	:	:	PUNCT
ejpam-5956	7	6	94d05	94d05	NUM
ejpam-5956	7	7	,	,	PUNCT
ejpam-5956	7	8	03e72	03e72	NUM
ejpam-5956	7	9	,	,	PUNCT
ejpam-5956	7	10	03e75	03e75	NUM
ejpam-5956	7	11	,	,	PUNCT
ejpam-5956	7	12	03b52	03b52	NUM
ejpam-5956	7	13	,	,	PUNCT
ejpam-5956	7	14	03b20	03b20	NUM
ejpam-5956	7	15	key	key	ADJ
ejpam-5956	7	16	words	word	NOUN
ejpam-5956	7	17	and	and	CCONJ
ejpam-5956	7	18	phrases	phrase	NOUN
ejpam-5956	7	19	:	:	PUNCT
ejpam-5956	7	20	picture	picture	NOUN
ejpam-5956	7	21	fuzzy	fuzzy	ADJ
ejpam-5956	7	22	multifunction	multifunction	NOUN
ejpam-5956	7	23	,	,	PUNCT
ejpam-5956	7	24	picture	picture	NOUN
ejpam-5956	7	25	fuzzy	fuzzy	ADJ
ejpam-5956	7	26	modal	modal	NOUN
ejpam-5956	7	27	topology	topology	NOUN
ejpam-5956	7	28	,	,	PUNCT
ejpam-5956	7	29	picture	picture	NOUN
ejpam-5956	7	30	fuzzy	fuzzy	ADJ
ejpam-5956	7	31	operator	operator	NOUN
ejpam-5956	7	32	1	1	NUM
ejpam-5956	7	33	.	.	PUNCT
ejpam-5956	8	1	introduction	introduction	NOUN
ejpam-5956	8	2	fuzzification	fuzzification	NOUN
ejpam-5956	8	3	is	be	AUX
ejpam-5956	8	4	a	a	DET
ejpam-5956	8	5	crucial	crucial	ADJ
ejpam-5956	8	6	tool	tool	NOUN
ejpam-5956	8	7	for	for	ADP
ejpam-5956	8	8	addressing	address	VERB
ejpam-5956	8	9	humanistic	humanistic	ADJ
ejpam-5956	8	10	systems	system	NOUN
ejpam-5956	8	11	in	in	ADP
ejpam-5956	8	12	real	real	ADJ
ejpam-5956	8	13	-	-	PUNCT
ejpam-5956	8	14	life	life	NOUN
ejpam-5956	8	15	problems	problem	NOUN
ejpam-5956	8	16	.	.	PUNCT
ejpam-5956	9	1	the	the	DET
ejpam-5956	9	2	seminal	seminal	ADJ
ejpam-5956	9	3	paper	paper	NOUN
ejpam-5956	9	4	on	on	ADP
ejpam-5956	9	5	fuzzy	fuzzy	ADJ
ejpam-5956	9	6	set	set	NOUN
ejpam-5956	9	7	theory	theory	NOUN
ejpam-5956	9	8	was	be	AUX
ejpam-5956	9	9	authored	author	VERB
ejpam-5956	9	10	by	by	ADP
ejpam-5956	9	11	zadeh	zadeh	PROPN
ejpam-5956	9	12	in	in	ADP
ejpam-5956	9	13	1965	1965	NUM
ejpam-5956	9	14	(	(	PUNCT
ejpam-5956	9	15	[	[	X
ejpam-5956	9	16	1	1	NUM
ejpam-5956	9	17	]	]	PUNCT
ejpam-5956	9	18	)	)	PUNCT
ejpam-5956	9	19	.	.	PUNCT
ejpam-5956	10	1	this	this	DET
ejpam-5956	10	2	theory	theory	NOUN
ejpam-5956	10	3	of	of	ADP
ejpam-5956	10	4	fuzzy	fuzzy	ADJ
ejpam-5956	10	5	sets	set	NOUN
ejpam-5956	10	6	(	(	PUNCT
ejpam-5956	10	7	fss	fss	NOUN
ejpam-5956	10	8	)	)	PUNCT
ejpam-5956	10	9	has	have	AUX
ejpam-5956	10	10	been	be	AUX
ejpam-5956	10	11	widely	widely	ADV
ejpam-5956	10	12	applied	apply	VERB
ejpam-5956	10	13	by	by	ADP
ejpam-5956	10	14	many	many	ADJ
ejpam-5956	10	15	scholars	scholar	NOUN
ejpam-5956	10	16	.	.	PUNCT
ejpam-5956	11	1	fss	fss	PROPN
ejpam-5956	11	2	theory	theory	PROPN
ejpam-5956	11	3	described	describe	VERB
ejpam-5956	11	4	the	the	DET
ejpam-5956	11	5	positivism	positivism	NOUN
ejpam-5956	11	6	of	of	ADP
ejpam-5956	11	7	an	an	DET
ejpam-5956	11	8	element	element	NOUN
ejpam-5956	11	9	ξ	ξ	PROPN
ejpam-5956	11	10	of	of	ADP
ejpam-5956	11	11	a	a	DET
ejpam-5956	11	12	universal	universal	ADJ
ejpam-5956	11	13	set	set	NOUN
ejpam-5956	11	14	ξ	ξ	PROPN
ejpam-5956	11	15	to	to	ADP
ejpam-5956	11	16	a	a	DET
ejpam-5956	11	17	subset	subset	NOUN
ejpam-5956	11	18	k	k	PROPN
ejpam-5956	11	19	⊆	⊆	NUM
ejpam-5956	11	20	ξ	ξ	X
ejpam-5956	11	21	by	by	ADP
ejpam-5956	11	22	the	the	DET
ejpam-5956	11	23	membership	membership	NOUN
ejpam-5956	11	24	value	value	NOUN
ejpam-5956	11	25	ωk(ξ	ωk(ξ	ADV
ejpam-5956	11	26	)	)	PUNCT
ejpam-5956	11	27	,	,	PUNCT
ejpam-5956	11	28	and	and	CCONJ
ejpam-5956	11	29	posited	posit	VERB
ejpam-5956	11	30	that	that	SCONJ
ejpam-5956	11	31	the	the	DET
ejpam-5956	11	32	negativism	negativism	NOUN
ejpam-5956	11	33	of	of	ADP
ejpam-5956	11	34	that	that	DET
ejpam-5956	11	35	element	element	NOUN
ejpam-5956	11	36	ξ	ξ	PROPN
ejpam-5956	11	37	∈	∈	PROPN
ejpam-5956	11	38	ξ	ξ	X
ejpam-5956	11	39	to	to	ADP
ejpam-5956	11	40	the	the	DET
ejpam-5956	11	41	set	set	NOUN
ejpam-5956	11	42	k	k	PROPN
ejpam-5956	11	43	is	be	AUX
ejpam-5956	11	44	1	1	NUM
ejpam-5956	11	45	−	−	NOUN
ejpam-5956	11	46	ωk(ξ	ωk(ξ	NUM
ejpam-5956	11	47	)	)	PUNCT
ejpam-5956	11	48	.	.	PUNCT
ejpam-5956	12	1	atanassov	atanassov	VERB
ejpam-5956	12	2	in	in	ADP
ejpam-5956	12	3	[	[	X
ejpam-5956	12	4	2	2	NUM
ejpam-5956	12	5	]	]	PUNCT
ejpam-5956	12	6	based	base	VERB
ejpam-5956	12	7	his	his	PRON
ejpam-5956	12	8	theory	theory	NOUN
ejpam-5956	12	9	of	of	ADP
ejpam-5956	12	10	intuitionistic	intuitionistic	ADJ
ejpam-5956	12	11	fuzzy	fuzzy	ADJ
ejpam-5956	12	12	sets	set	NOUN
ejpam-5956	12	13	(	(	PUNCT
ejpam-5956	12	14	ifss	ifss	NOUN
ejpam-5956	12	15	)	)	PUNCT
ejpam-5956	12	16	on	on	ADP
ejpam-5956	12	17	the	the	DET
ejpam-5956	12	18	notion	notion	NOUN
ejpam-5956	12	19	that	that	SCONJ
ejpam-5956	12	20	the	the	DET
ejpam-5956	12	21	negativism	negativism	NOUN
ejpam-5956	12	22	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	12	23	)	)	PUNCT
ejpam-5956	12	24	of	of	ADP
ejpam-5956	12	25	an	an	DET
ejpam-5956	12	26	element	element	NOUN
ejpam-5956	12	27	ξ	ξ	PROPN
ejpam-5956	12	28	∈	∈	PROPN
ejpam-5956	12	29	ξ	ξ	X
ejpam-5956	12	30	to	to	ADP
ejpam-5956	12	31	a	a	DET
ejpam-5956	12	32	subset	subset	NOUN
ejpam-5956	12	33	k	k	PROPN
ejpam-5956	12	34	⊆	⊆	NUM
ejpam-5956	12	35	ξ	ξ	PRON
ejpam-5956	12	36	may	may	AUX
ejpam-5956	12	37	range	range	VERB
ejpam-5956	12	38	from	from	ADP
ejpam-5956	12	39	[	[	X
ejpam-5956	12	40	0	0	NUM
ejpam-5956	12	41	,	,	PUNCT
ejpam-5956	12	42	1	1	NUM
ejpam-5956	12	43	]	]	PUNCT
ejpam-5956	12	44	and	and	CCONJ
ejpam-5956	12	45	need	need	AUX
ejpam-5956	12	46	not	not	PART
ejpam-5956	12	47	be	be	AUX
ejpam-5956	12	48	the	the	DET
ejpam-5956	12	49	complement	complement	NOUN
ejpam-5956	12	50	of	of	ADP
ejpam-5956	12	51	the	the	DET
ejpam-5956	12	52	positivism	positivism	NOUN
ejpam-5956	12	53	of	of	ADP
ejpam-5956	12	54	that	that	DET
ejpam-5956	12	55	element	element	NOUN
ejpam-5956	12	56	ξ	ξ	PROPN
ejpam-5956	12	57	∈	∈	PROPN
ejpam-5956	12	58	ξ	ξ	X
ejpam-5956	12	59	to	to	PART
ejpam-5956	12	60	k.	k.	VERB
ejpam-5956	12	61	the	the	DET
ejpam-5956	12	62	values	value	NOUN
ejpam-5956	12	63	ωk(ξ	ωk(ξ	NUM
ejpam-5956	12	64	)	)	PUNCT
ejpam-5956	12	65	and	and	CCONJ
ejpam-5956	12	66	ϖk(ξ	ϖk(ξ	ADJ
ejpam-5956	12	67	)	)	PUNCT
ejpam-5956	12	68	represent	represent	VERB
ejpam-5956	12	69	the	the	DET
ejpam-5956	12	70	positivism	positivism	NOUN
ejpam-5956	12	71	and	and	CCONJ
ejpam-5956	12	72	negativism	negativism	NOUN
ejpam-5956	12	73	of	of	ADP
ejpam-5956	12	74	each	each	DET
ejpam-5956	12	75	ξ	ξ	PROPN
ejpam-5956	12	76	∈	∈	PROPN
ejpam-5956	12	77	ξ	ξ	X
ejpam-5956	12	78	to	to	ADP
ejpam-5956	12	79	k	k	NOUN
ejpam-5956	12	80	,	,	PUNCT
ejpam-5956	12	81	respectively	respectively	ADV
ejpam-5956	12	82	,	,	PUNCT
ejpam-5956	12	83	with	with	ADP
ejpam-5956	12	84	the	the	DET
ejpam-5956	12	85	condition	condition	NOUN
ejpam-5956	12	86	that	that	SCONJ
ejpam-5956	12	87	0	0	NUM
ejpam-5956	12	88	≤	≤	NOUN
ejpam-5956	12	89	ωk(ξ	ωk(ξ	NUM
ejpam-5956	12	90	)	)	PUNCT
ejpam-5956	13	1	+	+	CCONJ
ejpam-5956	13	2	ϖk(ξ	ϖk(ξ	X
ejpam-5956	13	3	)	)	PUNCT
ejpam-5956	13	4	≤	≤	NUM
ejpam-5956	13	5	1	1	NUM
ejpam-5956	13	6	.	.	PUNCT
ejpam-5956	14	1	in	in	ADP
ejpam-5956	14	2	this	this	DET
ejpam-5956	14	3	way	way	NOUN
ejpam-5956	14	4	,	,	PUNCT
ejpam-5956	14	5	atanassov	atanassov	PROPN
ejpam-5956	14	6	encompassed	encompass	VERB
ejpam-5956	14	7	all	all	DET
ejpam-5956	14	8	the	the	DET
ejpam-5956	14	9	fss	fss	NOUN
ejpam-5956	14	10	as	as	ADP
ejpam-5956	14	11	a	a	DET
ejpam-5956	14	12	special	special	ADJ
ejpam-5956	14	13	case	case	NOUN
ejpam-5956	14	14	of	of	ADP
ejpam-5956	14	15	his	his	PRON
ejpam-5956	14	16	theory	theory	NOUN
ejpam-5956	14	17	whenever	whenever	SCONJ
ejpam-5956	14	18	ωk(ξ)+ϖk(ξ	ωk(ξ)+ϖk(ξ	PROPN
ejpam-5956	14	19	)	)	PUNCT
ejpam-5956	15	1	=	=	SYM
ejpam-5956	15	2	1	1	X
ejpam-5956	15	3	.	.	X
ejpam-5956	15	4	ifss	ifss	PROPN
ejpam-5956	15	5	are	be	AUX
ejpam-5956	15	6	more	more	ADV
ejpam-5956	15	7	meaningful	meaningful	ADJ
ejpam-5956	15	8	∗corresponding	∗corresponde	VERB
ejpam-5956	15	9	author	author	NOUN
ejpam-5956	15	10	.	.	PUNCT
ejpam-5956	16	1	doi	doi	NOUN
ejpam-5956	16	2	:	:	PUNCT
ejpam-5956	16	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5956	https://doi.org/10.29020/nybg.ejpam.v18i2.5956	ADJ
ejpam-5956	16	4	email	email	NOUN
ejpam-5956	16	5	addresses	address	NOUN
ejpam-5956	16	6	:	:	PUNCT
ejpam-5956	16	7	shidali@gzgs.edu.cn	shidali@gzgs.edu.cn	PROPN
ejpam-5956	16	8	(	(	PUNCT
ejpam-5956	16	9	dali	dali	PROPN
ejpam-5956	16	10	shi	shi	PROPN
ejpam-5956	16	11	)	)	PUNCT
ejpam-5956	16	12	,	,	PUNCT
ejpam-5956	16	13	mabushqair@jazanu.edu.sa	mabushqair@jazanu.edu.sa	PROPN
ejpam-5956	16	14	(	(	PUNCT
ejpam-5956	16	15	m.n	m.n	PROPN
ejpam-5956	16	16	.	.	PROPN
ejpam-5956	16	17	abu_shugair	abu_shugair	PROPN
ejpam-5956	16	18	)	)	PUNCT
ejpam-5956	16	19	,	,	PUNCT
ejpam-5956	16	20	salaheldin_ahmed@science.sohag.edu.eg	salaheldin_ahmed@science.sohag.edu.eg	PROPN
ejpam-5956	16	21	(	(	PUNCT
ejpam-5956	16	22	s.e	s.e	PROPN
ejpam-5956	16	23	.	.	PROPN
ejpam-5956	16	24	abbas	abbas	PROPN
ejpam-5956	16	25	)	)	PUNCT
ejpam-5956	16	26	,	,	PUNCT
ejpam-5956	16	27	ismail.abdelaziz@fsc.bu.edu.eg	ismail.abdelaziz@fsc.bu.edu.eg	PROPN
ejpam-5956	16	28	(	(	PUNCT
ejpam-5956	16	29	ismail	ismail	NOUN
ejpam-5956	16	30	ibedou	ibedou	PROPN
ejpam-5956	16	31	)	)	PUNCT
ejpam-5956	16	32	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5956	17	1	1	1	NUM
ejpam-5956	17	2	copyright	copyright	NOUN
ejpam-5956	17	3	:	:	PUNCT
ejpam-5956	17	4	©	©	PROPN
ejpam-5956	17	5	2025	2025	NUM
ejpam-5956	17	6	the	the	DET
ejpam-5956	17	7	author(s	author(s	NOUN
ejpam-5956	17	8	)	)	PUNCT
ejpam-5956	17	9	.	.	PUNCT
ejpam-5956	18	1	(	(	PUNCT
ejpam-5956	18	2	cc	cc	NOUN
ejpam-5956	18	3	by	by	ADP
ejpam-5956	18	4	-	-	PUNCT
ejpam-5956	18	5	nc	nc	PROPN
ejpam-5956	18	6	4.0	4.0	NUM
ejpam-5956	18	7	)	)	PUNCT
ejpam-5956	18	8	dali	dali	PROPN
ejpam-5956	18	9	shi	shi	PROPN
ejpam-5956	18	10	et	et	PROPN
ejpam-5956	18	11	al	al	PROPN
ejpam-5956	18	12	.	.	PUNCT
ejpam-5956	18	13	/	/	SYM
ejpam-5956	18	14	eur	eur	PROPN
ejpam-5956	18	15	.	.	PUNCT
ejpam-5956	19	1	j.	j.	PROPN
ejpam-5956	19	2	pure	pure	PROPN
ejpam-5956	19	3	appl	appl	PROPN
ejpam-5956	19	4	.	.	PROPN
ejpam-5956	19	5	math	math	PROPN
ejpam-5956	19	6	,	,	PUNCT
ejpam-5956	19	7	18	18	NUM
ejpam-5956	19	8	(	(	PUNCT
ejpam-5956	19	9	2	2	NUM
ejpam-5956	19	10	)	)	PUNCT
ejpam-5956	19	11	(	(	PUNCT
ejpam-5956	19	12	2025	2025	NUM
ejpam-5956	19	13	)	)	PUNCT
ejpam-5956	19	14	,	,	PUNCT
ejpam-5956	19	15	5956	5956	NUM
ejpam-5956	19	16	2	2	NUM
ejpam-5956	19	17	of	of	ADP
ejpam-5956	19	18	30	30	NUM
ejpam-5956	19	19	and	and	CCONJ
ejpam-5956	19	20	applicable	applicable	ADJ
ejpam-5956	19	21	to	to	ADP
ejpam-5956	19	22	real	real	ADJ
ejpam-5956	19	23	-	-	PUNCT
ejpam-5956	19	24	life	life	NOUN
ejpam-5956	19	25	problems	problem	NOUN
ejpam-5956	19	26	.	.	PUNCT
ejpam-5956	20	1	cuong	cuong	PROPN
ejpam-5956	20	2	in	in	ADP
ejpam-5956	20	3	[	[	X
ejpam-5956	20	4	3	3	NUM
ejpam-5956	20	5	]	]	PUNCT
ejpam-5956	20	6	introduced	introduce	VERB
ejpam-5956	20	7	the	the	DET
ejpam-5956	20	8	theory	theory	NOUN
ejpam-5956	20	9	of	of	ADP
ejpam-5956	20	10	picture	picture	NOUN
ejpam-5956	20	11	fuzzy	fuzzy	ADJ
ejpam-5956	20	12	sets	set	NOUN
ejpam-5956	20	13	(	(	PUNCT
ejpam-5956	20	14	pfss	pfss	NOUN
ejpam-5956	20	15	)	)	PUNCT
ejpam-5956	20	16	by	by	ADP
ejpam-5956	20	17	adding	add	VERB
ejpam-5956	20	18	the	the	DET
ejpam-5956	20	19	neutralism	neutralism	NOUN
ejpam-5956	20	20	of	of	ADP
ejpam-5956	20	21	an	an	DET
ejpam-5956	20	22	element	element	NOUN
ejpam-5956	20	23	ξ	ξ	PROPN
ejpam-5956	20	24	∈	∈	PROPN
ejpam-5956	20	25	ξ	ξ	X
ejpam-5956	20	26	to	to	ADP
ejpam-5956	20	27	the	the	DET
ejpam-5956	20	28	subset	subset	NOUN
ejpam-5956	20	29	k	k	NOUN
ejpam-5956	20	30	,	,	PUNCT
ejpam-5956	20	31	represented	represent	VERB
ejpam-5956	20	32	by	by	ADP
ejpam-5956	20	33	σk(ξ	σk(ξ	NOUN
ejpam-5956	20	34	)	)	PUNCT
ejpam-5956	20	35	.	.	PUNCT
ejpam-5956	21	1	this	this	DET
ejpam-5956	21	2	definition	definition	NOUN
ejpam-5956	21	3	is	be	AUX
ejpam-5956	21	4	conditioned	condition	VERB
ejpam-5956	21	5	with	with	ADP
ejpam-5956	21	6	0	0	NUM
ejpam-5956	21	7	≤	≤	NOUN
ejpam-5956	21	8	ωk(ξ	ωk(ξ	NUM
ejpam-5956	21	9	)	)	PUNCT
ejpam-5956	22	1	+	+	CCONJ
ejpam-5956	22	2	ϖk(ξ	ϖk(ξ	X
ejpam-5956	22	3	)	)	PUNCT
ejpam-5956	22	4	+	+	NUM
ejpam-5956	22	5	σk(ξ	σk(ξ	X
ejpam-5956	22	6	)	)	PUNCT
ejpam-5956	22	7	≤	≤	NUM
ejpam-5956	22	8	1	1	NUM
ejpam-5956	22	9	.	.	PUNCT
ejpam-5956	23	1	in	in	ADP
ejpam-5956	23	2	case	case	NOUN
ejpam-5956	23	3	where	where	SCONJ
ejpam-5956	23	4	σk(ξ	σk(ξ	VERB
ejpam-5956	23	5	)	)	PUNCT
ejpam-5956	23	6	=	=	SYM
ejpam-5956	23	7	0	0	NUM
ejpam-5956	23	8	for	for	ADP
ejpam-5956	23	9	all	all	PRON
ejpam-5956	23	10	ξ	ξ	PROPN
ejpam-5956	23	11	∈	∈	SYM
ejpam-5956	23	12	ξ	ξ	NOUN
ejpam-5956	23	13	,	,	PUNCT
ejpam-5956	23	14	then	then	ADV
ejpam-5956	23	15	,	,	PUNCT
ejpam-5956	23	16	we	we	PRON
ejpam-5956	23	17	revert	revert	VERB
ejpam-5956	23	18	to	to	ADP
ejpam-5956	23	19	intuitionistic	intuitionistic	ADJ
ejpam-5956	23	20	sets	set	NOUN
ejpam-5956	23	21	k	k	PROPN
ejpam-5956	23	22	in	in	ADP
ejpam-5956	23	23	ifs	ifs	PROPN
ejpam-5956	23	24	.	.	PUNCT
ejpam-5956	24	1	moreover	moreover	ADV
ejpam-5956	24	2	,	,	PUNCT
ejpam-5956	24	3	if	if	SCONJ
ejpam-5956	24	4	ϖk(ξ	ϖk(ξ	ADJ
ejpam-5956	24	5	)	)	PUNCT
ejpam-5956	24	6	=	=	SYM
ejpam-5956	24	7	1	1	NUM
ejpam-5956	24	8	−	−	NOUN
ejpam-5956	24	9	ωk(ξ	ωk(ξ	NUM
ejpam-5956	24	10	)	)	PUNCT
ejpam-5956	24	11	,	,	PUNCT
ejpam-5956	24	12	then	then	ADV
ejpam-5956	24	13	we	we	PRON
ejpam-5956	24	14	revert	revert	VERB
ejpam-5956	24	15	to	to	PART
ejpam-5956	24	16	fuzzy	fuzzy	ADJ
ejpam-5956	24	17	set	set	VERB
ejpam-5956	24	18	k	k	PROPN
ejpam-5956	24	19	in	in	ADP
ejpam-5956	24	20	fs	fs	PROPN
ejpam-5956	24	21	.	.	PUNCT
ejpam-5956	25	1	there	there	PRON
ejpam-5956	25	2	are	be	VERB
ejpam-5956	25	3	several	several	ADJ
ejpam-5956	25	4	simple	simple	ADJ
ejpam-5956	25	5	modifications	modification	NOUN
ejpam-5956	25	6	for	for	ADP
ejpam-5956	25	7	ifss	ifss	NOUN
ejpam-5956	25	8	[	[	X
ejpam-5956	25	9	4	4	NUM
ejpam-5956	25	10	,	,	PUNCT
ejpam-5956	25	11	5	5	NUM
ejpam-5956	25	12	]	]	PUNCT
ejpam-5956	25	13	,	,	PUNCT
ejpam-5956	25	14	which	which	PRON
ejpam-5956	25	15	we	we	PRON
ejpam-5956	25	16	shall	shall	AUX
ejpam-5956	25	17	not	not	PART
ejpam-5956	25	18	discuss	discuss	VERB
ejpam-5956	25	19	here	here	ADV
ejpam-5956	25	20	.	.	PUNCT
ejpam-5956	26	1	these	these	DET
ejpam-5956	26	2	modifications	modification	NOUN
ejpam-5956	26	3	include	include	VERB
ejpam-5956	26	4	pythagorean	pythagorean	PROPN
ejpam-5956	26	5	fss	fss	PROPN
ejpam-5956	27	1	[	[	X
ejpam-5956	27	2	6	6	NUM
ejpam-5956	27	3	]	]	PUNCT
ejpam-5956	27	4	,	,	PUNCT
ejpam-5956	27	5	spherical	spherical	ADJ
ejpam-5956	27	6	fss	fss	NOUN
ejpam-5956	28	1	[	[	X
ejpam-5956	28	2	7	7	NUM
ejpam-5956	28	3	,	,	PUNCT
ejpam-5956	28	4	8	8	NUM
ejpam-5956	28	5	]	]	PUNCT
ejpam-5956	28	6	,	,	PUNCT
ejpam-5956	28	7	q	q	ADJ
ejpam-5956	28	8	-	-	PUNCT
ejpam-5956	28	9	rung	rung	ADJ
ejpam-5956	28	10	orthopair	orthopair	NOUN
ejpam-5956	28	11	fss	fss	PROPN
ejpam-5956	29	1	[	[	X
ejpam-5956	29	2	9	9	NUM
ejpam-5956	29	3	]	]	PUNCT
ejpam-5956	29	4	and	and	CCONJ
ejpam-5956	29	5	q	q	ADJ
ejpam-5956	29	6	-	-	PUNCT
ejpam-5956	29	7	rung	rung	ADJ
ejpam-5956	29	8	orthopair	orthopair	NOUN
ejpam-5956	29	9	pfss	pfss	NOUN
ejpam-5956	30	1	[	[	X
ejpam-5956	30	2	10	10	NUM
ejpam-5956	30	3	]	]	PUNCT
ejpam-5956	30	4	,	,	PUNCT
ejpam-5956	30	5	(	(	PUNCT
ejpam-5956	30	6	ς	ς	PROPN
ejpam-5956	30	7	,	,	PUNCT
ejpam-5956	30	8	κ)-fuzzy	κ)-fuzzy	ADJ
ejpam-5956	30	9	local	local	ADJ
ejpam-5956	30	10	function	function	NOUN
ejpam-5956	30	11	,	,	PUNCT
ejpam-5956	30	12	continuous	continuous	ADJ
ejpam-5956	30	13	multifunctions	multifunction	NOUN
ejpam-5956	30	14	and	and	CCONJ
ejpam-5956	30	15	double	double	ADJ
ejpam-5956	30	16	fuzzy	fuzzy	ADJ
ejpam-5956	30	17	ideal	ideal	ADJ
ejpam-5956	30	18	topological	topological	ADJ
ejpam-5956	30	19	spaces	space	NOUN
ejpam-5956	30	20	[	[	X
ejpam-5956	30	21	11	11	NUM
ejpam-5956	30	22	,	,	PUNCT
ejpam-5956	30	23	12	12	NUM
ejpam-5956	30	24	]	]	PUNCT
ejpam-5956	30	25	.	.	PUNCT
ejpam-5956	31	1	all	all	DET
ejpam-5956	31	2	these	these	DET
ejpam-5956	31	3	definitions	definition	NOUN
ejpam-5956	31	4	,	,	PUNCT
ejpam-5956	31	5	starting	start	VERB
ejpam-5956	31	6	from	from	ADP
ejpam-5956	31	7	fss	fss	ADJ
ejpam-5956	31	8	,	,	PUNCT
ejpam-5956	31	9	have	have	VERB
ejpam-5956	31	10	applications	application	NOUN
ejpam-5956	31	11	in	in	ADP
ejpam-5956	31	12	image	image	NOUN
ejpam-5956	31	13	processing	processing	NOUN
ejpam-5956	31	14	,	,	PUNCT
ejpam-5956	31	15	decision	decision	NOUN
ejpam-5956	31	16	theory	theory	NOUN
ejpam-5956	31	17	,	,	PUNCT
ejpam-5956	31	18	uncertainty	uncertainty	NOUN
ejpam-5956	31	19	modeling	modeling	NOUN
ejpam-5956	31	20	,	,	PUNCT
ejpam-5956	31	21	and	and	CCONJ
ejpam-5956	31	22	beyond	beyond	ADP
ejpam-5956	31	23	,	,	PUNCT
ejpam-5956	31	24	as	as	ADP
ejpam-5956	31	25	in	in	ADP
ejpam-5956	31	26	[	[	X
ejpam-5956	31	27	5	5	NUM
ejpam-5956	31	28	,	,	PUNCT
ejpam-5956	31	29	6	6	NUM
ejpam-5956	31	30	,	,	PUNCT
ejpam-5956	31	31	9	9	NUM
ejpam-5956	31	32	,	,	PUNCT
ejpam-5956	31	33	13–16	13–16	NUM
ejpam-5956	31	34	]	]	PUNCT
ejpam-5956	31	35	.	.	PUNCT
ejpam-5956	32	1	in	in	ADP
ejpam-5956	32	2	this	this	DET
ejpam-5956	32	3	paper	paper	NOUN
ejpam-5956	32	4	,	,	PUNCT
ejpam-5956	32	5	we	we	PRON
ejpam-5956	32	6	merge	merge	VERB
ejpam-5956	32	7	the	the	DET
ejpam-5956	32	8	classical	classical	ADJ
ejpam-5956	32	9	definitions	definition	NOUN
ejpam-5956	32	10	of	of	ADP
ejpam-5956	32	11	multifunctions	multifunction	NOUN
ejpam-5956	32	12	in	in	ADP
ejpam-5956	32	13	general	general	ADJ
ejpam-5956	32	14	topology	topology	NOUN
ejpam-5956	32	15	and	and	CCONJ
ejpam-5956	32	16	the	the	DET
ejpam-5956	32	17	standard	standard	ADJ
ejpam-5956	32	18	modal	modal	ADJ
ejpam-5956	32	19	logic	logic	NOUN
ejpam-5956	32	20	[	[	X
ejpam-5956	32	21	17–20	17–20	NUM
ejpam-5956	32	22	]	]	PUNCT
ejpam-5956	32	23	with	with	ADP
ejpam-5956	32	24	the	the	DET
ejpam-5956	32	25	notion	notion	NOUN
ejpam-5956	32	26	of	of	ADP
ejpam-5956	32	27	pfss	pfss	NOUN
ejpam-5956	32	28	,	,	PUNCT
ejpam-5956	32	29	further	far	ADV
ejpam-5956	32	30	expanding	expand	VERB
ejpam-5956	32	31	into	into	ADP
ejpam-5956	32	32	the	the	DET
ejpam-5956	32	33	realm	realm	NOUN
ejpam-5956	32	34	of	of	ADP
ejpam-5956	32	35	pfmtss	pfmtss	PROPN
ejpam-5956	32	36	.	.	PUNCT
ejpam-5956	33	1	this	this	DET
ejpam-5956	33	2	exploration	exploration	NOUN
ejpam-5956	33	3	includes	include	VERB
ejpam-5956	33	4	the	the	DET
ejpam-5956	33	5	creation	creation	NOUN
ejpam-5956	33	6	of	of	ADP
ejpam-5956	33	7	pfmtss	pfmtss	PROPN
ejpam-5956	33	8	facilitated	facilitate	VERB
ejpam-5956	33	9	by	by	ADP
ejpam-5956	33	10	the	the	DET
ejpam-5956	33	11	standard	standard	ADJ
ejpam-5956	33	12	picture	picture	NOUN
ejpam-5956	33	13	fuzzy	fuzzy	ADJ
ejpam-5956	33	14	operations	operation	NOUN
ejpam-5956	33	15	of	of	ADP
ejpam-5956	33	16	"	"	PUNCT
ejpam-5956	33	17	union	union	NOUN
ejpam-5956	33	18	"	"	PUNCT
ejpam-5956	33	19	(	(	PUNCT
ejpam-5956	33	20	∪	∪	NOUN
ejpam-5956	33	21	)	)	PUNCT
ejpam-5956	33	22	and	and	CCONJ
ejpam-5956	33	23	"	"	PUNCT
ejpam-5956	33	24	intersection	intersection	NOUN
ejpam-5956	33	25	"	"	PUNCT
ejpam-5956	33	26	(	(	PUNCT
ejpam-5956	33	27	∩	∩	NOUN
ejpam-5956	33	28	)	)	PUNCT
ejpam-5956	33	29	.	.	PUNCT
ejpam-5956	34	1	continuous	continuous	ADJ
ejpam-5956	34	2	functions	function	NOUN
ejpam-5956	34	3	between	between	ADP
ejpam-5956	34	4	picture	picture	NOUN
ejpam-5956	34	5	fuzzy	fuzzy	ADJ
ejpam-5956	34	6	topological	topological	ADJ
ejpam-5956	34	7	spaces	space	NOUN
ejpam-5956	34	8	were	be	AUX
ejpam-5956	34	9	discussed	discuss	VERB
ejpam-5956	34	10	in	in	ADP
ejpam-5956	34	11	[	[	X
ejpam-5956	34	12	21	21	NUM
ejpam-5956	34	13	]	]	PUNCT
ejpam-5956	34	14	.	.	PUNCT
ejpam-5956	35	1	continuous	continuous	ADJ
ejpam-5956	35	2	multifunctions	multifunction	NOUN
ejpam-5956	35	3	between	between	ADP
ejpam-5956	35	4	picture	picture	NOUN
ejpam-5956	35	5	fuzzy	fuzzy	ADJ
ejpam-5956	35	6	topological	topological	ADJ
ejpam-5956	35	7	spaces	space	NOUN
ejpam-5956	35	8	were	be	AUX
ejpam-5956	35	9	discussed	discuss	VERB
ejpam-5956	35	10	in	in	ADP
ejpam-5956	35	11	[	[	X
ejpam-5956	35	12	22	22	NUM
ejpam-5956	35	13	]	]	PUNCT
ejpam-5956	35	14	.	.	PUNCT
ejpam-5956	36	1	the	the	DET
ejpam-5956	36	2	motivations	motivation	NOUN
ejpam-5956	36	3	of	of	ADP
ejpam-5956	36	4	this	this	DET
ejpam-5956	36	5	paper	paper	NOUN
ejpam-5956	36	6	are	be	AUX
ejpam-5956	36	7	as	as	ADV
ejpam-5956	36	8	follow	follow	VERB
ejpam-5956	36	9	:	:	PUNCT
ejpam-5956	36	10	firstly	firstly	ADV
ejpam-5956	36	11	,	,	PUNCT
ejpam-5956	36	12	to	to	PART
ejpam-5956	36	13	present	present	VERB
ejpam-5956	36	14	pftss	pftss	NOUN
ejpam-5956	36	15	related	relate	VERB
ejpam-5956	36	16	to	to	ADP
ejpam-5956	36	17	the	the	DET
ejpam-5956	36	18	pfss	pfss	NOUN
ejpam-5956	36	19	,	,	PUNCT
ejpam-5956	36	20	and	and	CCONJ
ejpam-5956	36	21	studying	study	VERB
ejpam-5956	36	22	some	some	DET
ejpam-5956	36	23	important	important	ADJ
ejpam-5956	36	24	results	result	NOUN
ejpam-5956	36	25	including	include	VERB
ejpam-5956	36	26	several	several	ADJ
ejpam-5956	36	27	modal	modal	ADJ
ejpam-5956	36	28	operators	operator	NOUN
ejpam-5956	36	29	.	.	PUNCT
ejpam-5956	37	1	these	these	DET
ejpam-5956	37	2	results	result	NOUN
ejpam-5956	37	3	are	be	AUX
ejpam-5956	37	4	given	give	VERB
ejpam-5956	37	5	in	in	ADP
ejpam-5956	37	6	section	section	NOUN
ejpam-5956	37	7	2	2	NUM
ejpam-5956	37	8	.	.	PUNCT
ejpam-5956	37	9	secondly	secondly	ADV
ejpam-5956	37	10	,	,	PUNCT
ejpam-5956	37	11	to	to	PART
ejpam-5956	37	12	introduce	introduce	VERB
ejpam-5956	37	13	pftms	pftms	NOUN
ejpam-5956	37	14	via	via	ADP
ejpam-5956	37	15	ideals	ideal	NOUN
ejpam-5956	37	16	and	and	CCONJ
ejpam-5956	37	17	their	their	PRON
ejpam-5956	37	18	common	common	ADJ
ejpam-5956	37	19	results	result	NOUN
ejpam-5956	37	20	.	.	PUNCT
ejpam-5956	38	1	also	also	ADV
ejpam-5956	38	2	,	,	PUNCT
ejpam-5956	38	3	to	to	PART
ejpam-5956	38	4	define	define	VERB
ejpam-5956	38	5	some	some	DET
ejpam-5956	38	6	types	type	NOUN
ejpam-5956	38	7	of	of	ADP
ejpam-5956	38	8	continuity	continuity	NOUN
ejpam-5956	38	9	of	of	ADP
ejpam-5956	38	10	picture	picture	NOUN
ejpam-5956	38	11	fuzzy	fuzzy	ADJ
ejpam-5956	38	12	multifunctions	multifunction	NOUN
ejpam-5956	38	13	.	.	PUNCT
ejpam-5956	39	1	these	these	DET
ejpam-5956	39	2	results	result	NOUN
ejpam-5956	39	3	are	be	AUX
ejpam-5956	39	4	given	give	VERB
ejpam-5956	39	5	in	in	ADP
ejpam-5956	39	6	section	section	NOUN
ejpam-5956	39	7	3	3	NUM
ejpam-5956	39	8	.	.	PUNCT
ejpam-5956	40	1	finally	finally	ADV
ejpam-5956	40	2	,	,	PUNCT
ejpam-5956	40	3	the	the	DET
ejpam-5956	40	4	conclusion	conclusion	NOUN
ejpam-5956	40	5	and	and	CCONJ
ejpam-5956	40	6	the	the	DET
ejpam-5956	40	7	future	future	ADJ
ejpam-5956	40	8	work	work	NOUN
ejpam-5956	40	9	are	be	AUX
ejpam-5956	40	10	given	give	VERB
ejpam-5956	40	11	in	in	ADP
ejpam-5956	40	12	section	section	NOUN
ejpam-5956	40	13	4	4	NUM
ejpam-5956	40	14	.	.	PUNCT
ejpam-5956	41	1	the	the	DET
ejpam-5956	41	2	research	research	NOUN
ejpam-5956	41	3	on	on	ADP
ejpam-5956	41	4	pfmtss	pfmtss	PROPN
ejpam-5956	41	5	has	have	VERB
ejpam-5956	41	6	several	several	ADJ
ejpam-5956	41	7	important	important	ADJ
ejpam-5956	41	8	applications	application	NOUN
ejpam-5956	41	9	in	in	ADP
ejpam-5956	41	10	various	various	ADJ
ejpam-5956	41	11	domains	domain	NOUN
ejpam-5956	41	12	:	:	PUNCT
ejpam-5956	41	13	decision	decision	NOUN
ejpam-5956	41	14	making	making	NOUN
ejpam-5956	41	15	,	,	PUNCT
ejpam-5956	41	16	pattern	pattern	NOUN
ejpam-5956	41	17	recognition	recognition	NOUN
ejpam-5956	41	18	,	,	PUNCT
ejpam-5956	41	19	artificial	artificial	ADJ
ejpam-5956	41	20	intelligence	intelligence	NOUN
ejpam-5956	41	21	,	,	PUNCT
ejpam-5956	41	22	information	information	NOUN
ejpam-5956	41	23	retrieval	retrieval	NOUN
ejpam-5956	41	24	and	and	CCONJ
ejpam-5956	41	25	data	datum	NOUN
ejpam-5956	41	26	mining	mining	NOUN
ejpam-5956	41	27	.	.	PUNCT
ejpam-5956	42	1	pfmtss	pfmtss	PROPN
ejpam-5956	42	2	address	address	NOUN
ejpam-5956	42	3	critical	critical	ADJ
ejpam-5956	42	4	gaps	gap	NOUN
ejpam-5956	42	5	in	in	ADP
ejpam-5956	42	6	handling	handle	VERB
ejpam-5956	42	7	uncertainty	uncertainty	NOUN
ejpam-5956	42	8	,	,	PUNCT
ejpam-5956	42	9	imprecision	imprecision	NOUN
ejpam-5956	42	10	,	,	PUNCT
ejpam-5956	42	11	and	and	CCONJ
ejpam-5956	42	12	neutrality	neutrality	NOUN
ejpam-5956	42	13	,	,	PUNCT
ejpam-5956	42	14	which	which	PRON
ejpam-5956	42	15	are	be	AUX
ejpam-5956	42	16	inherent	inherent	ADJ
ejpam-5956	42	17	in	in	ADP
ejpam-5956	42	18	real	real	ADJ
ejpam-5956	42	19	-	-	PUNCT
ejpam-5956	42	20	life	life	NOUN
ejpam-5956	42	21	problems	problem	NOUN
ejpam-5956	42	22	across	across	ADP
ejpam-5956	42	23	diverse	diverse	ADJ
ejpam-5956	42	24	domains	domain	NOUN
ejpam-5956	42	25	.	.	PUNCT
ejpam-5956	43	1	to	to	PART
ejpam-5956	43	2	bridge	bridge	VERB
ejpam-5956	43	3	these	these	DET
ejpam-5956	43	4	gaps	gap	NOUN
ejpam-5956	43	5	,	,	PUNCT
ejpam-5956	43	6	pfss	pfss	PROPN
ejpam-5956	43	7	were	be	AUX
ejpam-5956	43	8	introduced	introduce	VERB
ejpam-5956	43	9	,	,	PUNCT
ejpam-5956	43	10	adding	add	VERB
ejpam-5956	43	11	a	a	DET
ejpam-5956	43	12	neutrality	neutrality	NOUN
ejpam-5956	43	13	component	component	NOUN
ejpam-5956	43	14	to	to	ADP
ejpam-5956	43	15	the	the	DET
ejpam-5956	43	16	membership	membership	NOUN
ejpam-5956	43	17	and	and	CCONJ
ejpam-5956	43	18	non	non	ADJ
ejpam-5956	43	19	-	-	ADJ
ejpam-5956	43	20	membership	membership	ADJ
ejpam-5956	43	21	values	value	NOUN
ejpam-5956	43	22	,	,	PUNCT
ejpam-5956	43	23	thereby	thereby	ADV
ejpam-5956	43	24	enabling	enable	VERB
ejpam-5956	43	25	a	a	DET
ejpam-5956	43	26	more	more	ADV
ejpam-5956	43	27	nuanced	nuanced	ADJ
ejpam-5956	43	28	representation	representation	NOUN
ejpam-5956	43	29	of	of	ADP
ejpam-5956	43	30	uncertainty	uncertainty	NOUN
ejpam-5956	43	31	.	.	PUNCT
ejpam-5956	44	1	pfmtss	pfmtss	PROPN
ejpam-5956	44	2	expand	expand	VERB
ejpam-5956	44	3	upon	upon	SCONJ
ejpam-5956	44	4	these	these	DET
ejpam-5956	44	5	concepts	concept	NOUN
ejpam-5956	44	6	by	by	ADP
ejpam-5956	44	7	the	the	DET
ejpam-5956	44	8	integration	integration	NOUN
ejpam-5956	44	9	in	in	ADP
ejpam-5956	44	10	modal	modal	ADJ
ejpam-5956	44	11	logic	logic	NOUN
ejpam-5956	44	12	and	and	CCONJ
ejpam-5956	44	13	general	general	ADJ
ejpam-5956	44	14	topology	topology	NOUN
ejpam-5956	44	15	using	use	VERB
ejpam-5956	44	16	the	the	DET
ejpam-5956	44	17	pfss	pfss	NOUN
ejpam-5956	44	18	.	.	PUNCT
ejpam-5956	45	1	this	this	DET
ejpam-5956	45	2	integration	integration	NOUN
ejpam-5956	45	3	introduces	introduce	VERB
ejpam-5956	45	4	global	global	ADJ
ejpam-5956	45	5	operators	operator	NOUN
ejpam-5956	45	6	,	,	PUNCT
ejpam-5956	45	7	such	such	ADJ
ejpam-5956	45	8	as	as	ADP
ejpam-5956	45	9	closure	closure	NOUN
ejpam-5956	45	10	,	,	PUNCT
ejpam-5956	45	11	interior	interior	NOUN
ejpam-5956	45	12	,	,	PUNCT
ejpam-5956	45	13	and	and	CCONJ
ejpam-5956	45	14	modal	modal	ADJ
ejpam-5956	45	15	operators	operator	NOUN
ejpam-5956	45	16	(	(	PUNCT
ejpam-5956	45	17	□	□	PUNCT
ejpam-5956	45	18	and	and	CCONJ
ejpam-5956	45	19	3	3	NUM
ejpam-5956	45	20	)	)	PUNCT
ejpam-5956	45	21	,	,	PUNCT
ejpam-5956	45	22	which	which	PRON
ejpam-5956	45	23	modify	modify	VERB
ejpam-5956	45	24	classical	classical	ADJ
ejpam-5956	45	25	topological	topological	ADJ
ejpam-5956	45	26	and	and	CCONJ
ejpam-5956	45	27	modal	modal	ADJ
ejpam-5956	45	28	relationships	relationship	NOUN
ejpam-5956	45	29	.	.	PUNCT
ejpam-5956	46	1	these	these	DET
ejpam-5956	46	2	global	global	ADJ
ejpam-5956	46	3	operators	operator	NOUN
ejpam-5956	46	4	facilitate	facilitate	VERB
ejpam-5956	46	5	a	a	DET
ejpam-5956	46	6	robust	robust	ADJ
ejpam-5956	46	7	analysis	analysis	NOUN
ejpam-5956	46	8	of	of	ADP
ejpam-5956	46	9	fss	fss	NOUN
ejpam-5956	46	10	under	under	ADP
ejpam-5956	46	11	modal	modal	ADJ
ejpam-5956	46	12	and	and	CCONJ
ejpam-5956	46	13	topological	topological	ADJ
ejpam-5956	46	14	constraints	constraint	NOUN
ejpam-5956	46	15	,	,	PUNCT
ejpam-5956	46	16	providing	provide	VERB
ejpam-5956	46	17	a	a	DET
ejpam-5956	46	18	suitable	suitable	ADJ
ejpam-5956	46	19	tools	tool	NOUN
ejpam-5956	46	20	for	for	ADP
ejpam-5956	46	21	theoretical	theoretical	ADJ
ejpam-5956	46	22	exploration	exploration	NOUN
ejpam-5956	46	23	and	and	CCONJ
ejpam-5956	46	24	practical	practical	ADJ
ejpam-5956	46	25	application	application	NOUN
ejpam-5956	46	26	.	.	PUNCT
ejpam-5956	47	1	the	the	DET
ejpam-5956	47	2	study	study	NOUN
ejpam-5956	47	3	of	of	ADP
ejpam-5956	47	4	pfmts	pfmts	NUM
ejpam-5956	47	5	not	not	PART
ejpam-5956	47	6	only	only	ADV
ejpam-5956	47	7	extends	extend	VERB
ejpam-5956	47	8	the	the	DET
ejpam-5956	47	9	theory	theory	NOUN
ejpam-5956	47	10	of	of	ADP
ejpam-5956	47	11	fss	fss	PROPN
ejpam-5956	47	12	but	but	CCONJ
ejpam-5956	47	13	also	also	ADV
ejpam-5956	47	14	establishes	establish	VERB
ejpam-5956	47	15	a	a	DET
ejpam-5956	47	16	wide	wide	ADJ
ejpam-5956	47	17	platform	platform	NOUN
ejpam-5956	47	18	for	for	ADP
ejpam-5956	47	19	addressing	address	VERB
ejpam-5956	47	20	modern	modern	ADJ
ejpam-5956	47	21	computational	computational	ADJ
ejpam-5956	47	22	challenges	challenge	NOUN
ejpam-5956	47	23	.	.	PUNCT
ejpam-5956	48	1	its	its	PRON
ejpam-5956	48	2	ability	ability	NOUN
ejpam-5956	48	3	to	to	PART
ejpam-5956	48	4	integrate	integrate	VERB
ejpam-5956	48	5	neutrality	neutrality	NOUN
ejpam-5956	48	6	,	,	PUNCT
ejpam-5956	48	7	positivity	positivity	NOUN
ejpam-5956	48	8	,	,	PUNCT
ejpam-5956	48	9	and	and	CCONJ
ejpam-5956	48	10	negativity	negativity	NOUN
ejpam-5956	48	11	within	within	ADP
ejpam-5956	48	12	a	a	DET
ejpam-5956	48	13	unified	unified	ADJ
ejpam-5956	48	14	framework	framework	NOUN
ejpam-5956	48	15	lays	lay	VERB
ejpam-5956	48	16	the	the	DET
ejpam-5956	48	17	foundation	foundation	NOUN
ejpam-5956	48	18	for	for	ADP
ejpam-5956	48	19	further	further	ADJ
ejpam-5956	48	20	exploration	exploration	NOUN
ejpam-5956	48	21	and	and	CCONJ
ejpam-5956	48	22	application	application	NOUN
ejpam-5956	48	23	of	of	ADP
ejpam-5956	48	24	pfmts	pfmts	NOUN
ejpam-5956	48	25	in	in	ADP
ejpam-5956	48	26	dynamic	dynamic	ADJ
ejpam-5956	48	27	systems	system	NOUN
ejpam-5956	48	28	,	,	PUNCT
ejpam-5956	48	29	hybrid	hybrid	NOUN
ejpam-5956	48	30	models	model	NOUN
ejpam-5956	48	31	,	,	PUNCT
ejpam-5956	48	32	and	and	CCONJ
ejpam-5956	48	33	emerging	emerge	VERB
ejpam-5956	48	34	technologies	technology	NOUN
ejpam-5956	48	35	,	,	PUNCT
ejpam-5956	48	36	positioning	position	VERB
ejpam-5956	48	37	it	it	PRON
ejpam-5956	48	38	as	as	ADP
ejpam-5956	48	39	a	a	DET
ejpam-5956	48	40	cornerstone	cornerstone	NOUN
ejpam-5956	48	41	of	of	ADP
ejpam-5956	48	42	modern	modern	ADJ
ejpam-5956	48	43	mathematical	mathematical	ADJ
ejpam-5956	48	44	and	and	CCONJ
ejpam-5956	48	45	computational	computational	ADJ
ejpam-5956	48	46	innovation	innovation	NOUN
ejpam-5956	48	47	.	.	PUNCT
ejpam-5956	49	1	pfmtss	pfmtss	PROPN
ejpam-5956	49	2	have	have	VERB
ejpam-5956	49	3	special	special	ADJ
ejpam-5956	49	4	important	important	ADJ
ejpam-5956	49	5	applications	application	NOUN
ejpam-5956	49	6	in	in	ADP
ejpam-5956	49	7	decision	decision	NOUN
ejpam-5956	49	8	making	make	VERB
ejpam-5956	49	9	environments	environment	NOUN
ejpam-5956	49	10	.	.	PUNCT
ejpam-5956	50	1	chellamani	chellamani	PROPN
ejpam-5956	50	2	et	et	PROPN
ejpam-5956	50	3	.	.	PUNCT
ejpam-5956	51	1	al	al	PROPN
ejpam-5956	52	1	[	[	X
ejpam-5956	52	2	23	23	NUM
ejpam-5956	52	3	]	]	PUNCT
ejpam-5956	52	4	,	,	PUNCT
ejpam-5956	52	5	used	use	VERB
ejpam-5956	52	6	picture	picture	NOUN
ejpam-5956	52	7	fuzzy	fuzzy	ADJ
ejpam-5956	52	8	soft	soft	ADJ
ejpam-5956	52	9	graphs	graph	NOUN
ejpam-5956	52	10	to	to	PART
ejpam-5956	52	11	design	design	VERB
ejpam-5956	52	12	a	a	DET
ejpam-5956	52	13	decision	decision	NOUN
ejpam-5956	52	14	making	make	VERB
ejpam-5956	52	15	scheme	scheme	NOUN
ejpam-5956	52	16	.	.	PUNCT
ejpam-5956	53	1	yang	yang	PROPN
ejpam-5956	53	2	et	et	PROPN
ejpam-5956	53	3	.	.	PUNCT
ejpam-5956	54	1	al	al	PROPN
ejpam-5956	55	1	[	[	X
ejpam-5956	55	2	24	24	NUM
ejpam-5956	55	3	]	]	PUNCT
ejpam-5956	55	4	,	,	PUNCT
ejpam-5956	55	5	developed	develop	VERB
ejpam-5956	55	6	an	an	DET
ejpam-5956	55	7	adjustable	adjustable	ADJ
ejpam-5956	55	8	soft	soft	ADJ
ejpam-5956	55	9	discernibility	discernibility	NOUN
ejpam-5956	55	10	matrix	matrix	NOUN
ejpam-5956	55	11	with	with	ADP
ejpam-5956	55	12	the	the	DET
ejpam-5956	55	13	help	help	NOUN
ejpam-5956	55	14	of	of	ADP
ejpam-5956	55	15	picture	picture	NOUN
ejpam-5956	55	16	fuzzy	fuzzy	ADJ
ejpam-5956	55	17	soft	soft	ADJ
ejpam-5956	55	18	sets	set	NOUN
ejpam-5956	55	19	and	and	CCONJ
ejpam-5956	55	20	presented	present	VERB
ejpam-5956	55	21	its	its	PRON
ejpam-5956	55	22	applications	application	NOUN
ejpam-5956	55	23	in	in	ADP
ejpam-5956	55	24	decision	decision	NOUN
ejpam-5956	55	25	making	making	NOUN
ejpam-5956	55	26	.	.	PUNCT
ejpam-5956	56	1	joshi	joshi	PROPN
ejpam-5956	56	2	in	in	ADP
ejpam-5956	56	3	[	[	X
ejpam-5956	56	4	25–27	25–27	NUM
ejpam-5956	56	5	]	]	PUNCT
ejpam-5956	56	6	presented	present	VERB
ejpam-5956	56	7	an	an	DET
ejpam-5956	56	8	innovative	innovative	ADJ
ejpam-5956	56	9	decision	decision	NOUN
ejpam-5956	56	10	making	make	VERB
ejpam-5956	56	11	process	process	NOUN
ejpam-5956	56	12	for	for	ADP
ejpam-5956	56	13	a	a	DET
ejpam-5956	56	14	picture	picture	NOUN
ejpam-5956	56	15	fuzzy	fuzzy	ADJ
ejpam-5956	56	16	environment	environment	NOUN
ejpam-5956	56	17	with	with	ADP
ejpam-5956	56	18	the	the	DET
ejpam-5956	56	19	help	help	NOUN
ejpam-5956	56	20	of	of	ADP
ejpam-5956	56	21	the	the	DET
ejpam-5956	56	22	dali	dali	PROPN
ejpam-5956	56	23	shi	shi	PROPN
ejpam-5956	56	24	et	et	PROPN
ejpam-5956	56	25	al	al	PROPN
ejpam-5956	56	26	.	.	PUNCT
ejpam-5956	56	27	/	/	SYM
ejpam-5956	56	28	eur	eur	PROPN
ejpam-5956	56	29	.	.	PUNCT
ejpam-5956	57	1	j.	j.	PROPN
ejpam-5956	57	2	pure	pure	PROPN
ejpam-5956	57	3	appl	appl	PROPN
ejpam-5956	57	4	.	.	PROPN
ejpam-5956	57	5	math	math	PROPN
ejpam-5956	57	6	,	,	PUNCT
ejpam-5956	57	7	18	18	NUM
ejpam-5956	57	8	(	(	PUNCT
ejpam-5956	57	9	2	2	NUM
ejpam-5956	57	10	)	)	PUNCT
ejpam-5956	57	11	(	(	PUNCT
ejpam-5956	57	12	2025	2025	NUM
ejpam-5956	57	13	)	)	PUNCT
ejpam-5956	57	14	,	,	PUNCT
ejpam-5956	57	15	5956	5956	NUM
ejpam-5956	57	16	3	3	NUM
ejpam-5956	57	17	of	of	ADP
ejpam-5956	57	18	30	30	NUM
ejpam-5956	57	19	concept	concept	NOUN
ejpam-5956	57	20	r	r	NOUN
ejpam-5956	57	21	-	-	PUNCT
ejpam-5956	57	22	norm	norm	NOUN
ejpam-5956	57	23	and	and	CCONJ
ejpam-5956	57	24	the	the	DET
ejpam-5956	57	25	vikor	vikor	ADJ
ejpam-5956	57	26	technique	technique	NOUN
ejpam-5956	57	27	.	.	PUNCT
ejpam-5956	58	1	more	more	ADJ
ejpam-5956	58	2	development	development	NOUN
ejpam-5956	58	3	of	of	ADP
ejpam-5956	58	4	pfss	pfss	NOUN
ejpam-5956	58	5	can	can	AUX
ejpam-5956	58	6	be	be	AUX
ejpam-5956	58	7	seen	see	VERB
ejpam-5956	58	8	in	in	ADP
ejpam-5956	58	9	[	[	X
ejpam-5956	58	10	28–30	28–30	NOUN
ejpam-5956	58	11	]	]	PUNCT
ejpam-5956	58	12	.	.	PUNCT
ejpam-5956	59	1	in	in	ADP
ejpam-5956	59	2	daily	daily	ADJ
ejpam-5956	59	3	life	life	NOUN
ejpam-5956	59	4	,	,	PUNCT
ejpam-5956	59	5	pfs	pfs	PROPN
ejpam-5956	59	6	theory	theory	NOUN
ejpam-5956	59	7	provides	provide	VERB
ejpam-5956	59	8	more	more	ADJ
ejpam-5956	59	9	than	than	ADP
ejpam-5956	59	10	one	one	NUM
ejpam-5956	59	11	choice	choice	NOUN
ejpam-5956	59	12	for	for	ADP
ejpam-5956	59	13	any	any	DET
ejpam-5956	59	14	decision	decision	NOUN
ejpam-5956	59	15	.	.	PUNCT
ejpam-5956	60	1	as	as	ADP
ejpam-5956	60	2	examples	example	NOUN
ejpam-5956	60	3	:	:	PUNCT
ejpam-5956	60	4	(	(	PUNCT
ejpam-5956	60	5	1	1	X
ejpam-5956	60	6	)	)	PUNCT
ejpam-5956	60	7	suppose	suppose	VERB
ejpam-5956	60	8	a	a	DET
ejpam-5956	60	9	person	person	NOUN
ejpam-5956	60	10	is	be	AUX
ejpam-5956	60	11	suffering	suffer	VERB
ejpam-5956	60	12	from	from	ADP
ejpam-5956	60	13	some	some	DET
ejpam-5956	60	14	disease	disease	NOUN
ejpam-5956	60	15	.	.	PUNCT
ejpam-5956	61	1	then	then	ADV
ejpam-5956	61	2	,	,	PUNCT
ejpam-5956	61	3	the	the	DET
ejpam-5956	61	4	positive	positive	ADJ
ejpam-5956	61	5	,	,	PUNCT
ejpam-5956	61	6	negative	negative	ADJ
ejpam-5956	61	7	and	and	CCONJ
ejpam-5956	61	8	neutral	neutral	ADJ
ejpam-5956	61	9	membership	membership	NOUN
ejpam-5956	61	10	functions	function	NOUN
ejpam-5956	61	11	can	can	AUX
ejpam-5956	61	12	be	be	AUX
ejpam-5956	61	13	associated	associate	VERB
ejpam-5956	61	14	with	with	ADP
ejpam-5956	61	15	curability	curability	NOUN
ejpam-5956	61	16	bitterness	bitterness	NOUN
ejpam-5956	61	17	and	and	CCONJ
ejpam-5956	61	18	treatment	treatment	NOUN
ejpam-5956	61	19	of	of	ADP
ejpam-5956	61	20	disease	disease	NOUN
ejpam-5956	61	21	respectively	respectively	ADV
ejpam-5956	61	22	.	.	PUNCT
ejpam-5956	62	1	refusal	refusal	NOUN
ejpam-5956	62	2	can	can	AUX
ejpam-5956	62	3	be	be	AUX
ejpam-5956	62	4	related	relate	VERB
ejpam-5956	62	5	to	to	ADP
ejpam-5956	62	6	the	the	DET
ejpam-5956	62	7	insufficient	insufficient	ADJ
ejpam-5956	62	8	economic	economic	ADJ
ejpam-5956	62	9	conditions	condition	NOUN
ejpam-5956	62	10	of	of	ADP
ejpam-5956	62	11	the	the	DET
ejpam-5956	62	12	patient	patient	NOUN
ejpam-5956	62	13	meaning	meaning	NOUN
ejpam-5956	62	14	that	that	SCONJ
ejpam-5956	62	15	he	he	PRON
ejpam-5956	62	16	cann’t	cann’t	VERB
ejpam-5956	62	17	afford	afford	VERB
ejpam-5956	62	18	the	the	DET
ejpam-5956	62	19	hospital	hospital	NOUN
ejpam-5956	62	20	expenses	expense	NOUN
ejpam-5956	62	21	and	and	CCONJ
ejpam-5956	62	22	refuses	refuse	VERB
ejpam-5956	62	23	to	to	PART
ejpam-5956	62	24	be	be	AUX
ejpam-5956	62	25	hospitalized	hospitalize	VERB
ejpam-5956	62	26	.	.	PUNCT
ejpam-5956	63	1	(	(	PUNCT
ejpam-5956	63	2	2	2	X
ejpam-5956	63	3	)	)	PUNCT
ejpam-5956	63	4	suppose	suppose	VERB
ejpam-5956	63	5	a	a	DET
ejpam-5956	63	6	person	person	NOUN
ejpam-5956	63	7	has	have	VERB
ejpam-5956	63	8	an	an	DET
ejpam-5956	63	9	allegation	allegation	NOUN
ejpam-5956	63	10	of	of	ADP
ejpam-5956	63	11	a	a	DET
ejpam-5956	63	12	crime	crime	NOUN
ejpam-5956	63	13	.	.	PUNCT
ejpam-5956	64	1	then	then	ADV
ejpam-5956	64	2	,	,	PUNCT
ejpam-5956	64	3	the	the	DET
ejpam-5956	64	4	positive	positive	ADJ
ejpam-5956	64	5	,	,	PUNCT
ejpam-5956	64	6	negative	negative	ADJ
ejpam-5956	64	7	and	and	CCONJ
ejpam-5956	64	8	neutral	neutral	ADJ
ejpam-5956	64	9	membership	membership	NOUN
ejpam-5956	64	10	functions	function	NOUN
ejpam-5956	64	11	can	can	AUX
ejpam-5956	64	12	be	be	AUX
ejpam-5956	64	13	associated	associate	VERB
ejpam-5956	64	14	with	with	ADP
ejpam-5956	64	15	maximum	maximum	ADJ
ejpam-5956	64	16	punishment	punishment	NOUN
ejpam-5956	64	17	,	,	PUNCT
ejpam-5956	64	18	release	release	NOUN
ejpam-5956	64	19	and	and	CCONJ
ejpam-5956	64	20	moderate	moderate	ADJ
ejpam-5956	64	21	punishment	punishment	NOUN
ejpam-5956	64	22	of	of	ADP
ejpam-5956	64	23	the	the	DET
ejpam-5956	64	24	accused	accuse	VERB
ejpam-5956	64	25	person	person	NOUN
ejpam-5956	64	26	respectively	respectively	ADV
ejpam-5956	64	27	.	.	PUNCT
ejpam-5956	65	1	refusal	refusal	NOUN
ejpam-5956	65	2	can	can	AUX
ejpam-5956	65	3	be	be	AUX
ejpam-5956	65	4	related	relate	VERB
ejpam-5956	65	5	to	to	ADP
ejpam-5956	65	6	the	the	DET
ejpam-5956	65	7	dismissal	dismissal	NOUN
ejpam-5956	65	8	of	of	ADP
ejpam-5956	65	9	the	the	DET
ejpam-5956	65	10	case	case	NOUN
ejpam-5956	65	11	due	due	ADP
ejpam-5956	65	12	to	to	ADP
ejpam-5956	65	13	reconciliation	reconciliation	NOUN
ejpam-5956	65	14	.	.	PUNCT
ejpam-5956	66	1	keeping	keep	VERB
ejpam-5956	66	2	in	in	ADP
ejpam-5956	66	3	mind	mind	NOUN
ejpam-5956	66	4	the	the	DET
ejpam-5956	66	5	above	above	ADJ
ejpam-5956	66	6	literature	literature	NOUN
ejpam-5956	66	7	and	and	CCONJ
ejpam-5956	66	8	the	the	DET
ejpam-5956	66	9	importance	importance	NOUN
ejpam-5956	66	10	of	of	ADP
ejpam-5956	66	11	pfss	pfss	NOUN
ejpam-5956	66	12	,	,	PUNCT
ejpam-5956	66	13	as	as	ADV
ejpam-5956	66	14	well	well	ADV
ejpam-5956	66	15	as	as	ADP
ejpam-5956	66	16	topological	topological	ADJ
ejpam-5956	66	17	spaces	space	NOUN
ejpam-5956	66	18	,	,	PUNCT
ejpam-5956	66	19	we	we	PRON
ejpam-5956	66	20	reveal	reveal	VERB
ejpam-5956	66	21	the	the	DET
ejpam-5956	66	22	study	study	NOUN
ejpam-5956	66	23	of	of	ADP
ejpam-5956	66	24	pfmtss	pfmtss	PROPN
ejpam-5956	66	25	.	.	PUNCT
ejpam-5956	67	1	the	the	DET
ejpam-5956	67	2	major	major	ADJ
ejpam-5956	67	3	contributions	contribution	NOUN
ejpam-5956	67	4	of	of	ADP
ejpam-5956	67	5	this	this	DET
ejpam-5956	67	6	paper	paper	NOUN
ejpam-5956	67	7	are	be	AUX
ejpam-5956	67	8	as	as	ADV
ejpam-5956	67	9	follow	follow	VERB
ejpam-5956	67	10	:	:	PUNCT
ejpam-5956	67	11	(	(	PUNCT
ejpam-5956	67	12	a	a	X
ejpam-5956	67	13	)	)	PUNCT
ejpam-5956	67	14	the	the	DET
ejpam-5956	67	15	definition	definition	NOUN
ejpam-5956	67	16	of	of	ADP
ejpam-5956	67	17	some	some	DET
ejpam-5956	67	18	new	new	ADJ
ejpam-5956	67	19	notions	notion	NOUN
ejpam-5956	67	20	of	of	ADP
ejpam-5956	67	21	cl	cl	NOUN
ejpam-5956	67	22	-	-	PUNCT
ejpam-5956	67	23	pfmts	pfmts	ADJ
ejpam-5956	67	24	,	,	PUNCT
ejpam-5956	67	25	int	int	NOUN
ejpam-5956	67	26	-	-	PUNCT
ejpam-5956	67	27	int	int	NOUN
ejpam-5956	67	28	-	-	PUNCT
ejpam-5956	67	29	pfmts	pfmts	ADJ
ejpam-5956	67	30	,	,	PUNCT
ejpam-5956	67	31	cl	cl	NOUN
ejpam-5956	67	32	-	-	PUNCT
ejpam-5956	67	33	int	int	NOUN
ejpam-5956	67	34	-	-	PUNCT
ejpam-5956	67	35	pfmts	pfmts	NOUN
ejpam-5956	67	36	,	,	PUNCT
ejpam-5956	67	37	intcl	intcl	NOUN
ejpam-5956	67	38	-	-	PUNCT
ejpam-5956	67	39	pfmts	pfmts	NOUN
ejpam-5956	67	40	regarding	regard	VERB
ejpam-5956	67	41	the	the	DET
ejpam-5956	67	42	types	type	NOUN
ejpam-5956	67	43	of	of	ADP
ejpam-5956	67	44	the	the	DET
ejpam-5956	67	45	topological	topological	ADJ
ejpam-5956	67	46	operators	operator	NOUN
ejpam-5956	67	47	"	"	PUNCT
ejpam-5956	67	48	closure	closure	NOUN
ejpam-5956	67	49	"	"	PUNCT
ejpam-5956	67	50	and	and	CCONJ
ejpam-5956	67	51	"	"	PUNCT
ejpam-5956	67	52	interior	interior	ADJ
ejpam-5956	67	53	"	"	PUNCT
ejpam-5956	67	54	and	and	CCONJ
ejpam-5956	67	55	any	any	PRON
ejpam-5956	67	56	of	of	ADP
ejpam-5956	67	57	the	the	DET
ejpam-5956	67	58	given	give	VERB
ejpam-5956	67	59	modal	modal	ADJ
ejpam-5956	67	60	operators	operator	NOUN
ejpam-5956	67	61	.	.	PUNCT
ejpam-5956	68	1	(	(	PUNCT
ejpam-5956	68	2	b	b	X
ejpam-5956	68	3	)	)	PUNCT
ejpam-5956	68	4	the	the	DET
ejpam-5956	68	5	design	design	NOUN
ejpam-5956	68	6	of	of	ADP
ejpam-5956	68	7	the	the	DET
ejpam-5956	68	8	various	various	ADJ
ejpam-5956	68	9	pfms	pfms	NOUN
ejpam-5956	68	10	based	base	VERB
ejpam-5956	68	11	on	on	ADP
ejpam-5956	68	12	the	the	DET
ejpam-5956	68	13	stated	state	VERB
ejpam-5956	68	14	notions	notion	NOUN
ejpam-5956	68	15	.	.	PUNCT
ejpam-5956	69	1	(	(	PUNCT
ejpam-5956	69	2	c	c	X
ejpam-5956	69	3	)	)	PUNCT
ejpam-5956	69	4	the	the	DET
ejpam-5956	69	5	definition	definition	NOUN
ejpam-5956	69	6	of	of	ADP
ejpam-5956	69	7	the	the	DET
ejpam-5956	69	8	notion	notion	NOUN
ejpam-5956	69	9	of	of	ADP
ejpam-5956	69	10	continuous	continuous	ADJ
ejpam-5956	69	11	multifunctions	multifunction	NOUN
ejpam-5956	69	12	in	in	ADP
ejpam-5956	69	13	picture	picture	NOUN
ejpam-5956	69	14	fuzzy	fuzzy	ADJ
ejpam-5956	69	15	topological	topological	ADJ
ejpam-5956	69	16	spaces	space	NOUN
ejpam-5956	69	17	via	via	ADP
ejpam-5956	69	18	ideals	ideal	NOUN
ejpam-5956	69	19	and	and	CCONJ
ejpam-5956	69	20	an	an	DET
ejpam-5956	69	21	introduction	introduction	NOUN
ejpam-5956	69	22	to	to	ADP
ejpam-5956	69	23	necessary	necessary	ADJ
ejpam-5956	69	24	and	and	CCONJ
ejpam-5956	69	25	sufficient	sufficient	ADJ
ejpam-5956	69	26	conditions	condition	NOUN
ejpam-5956	69	27	of	of	ADP
ejpam-5956	69	28	upper	upper	ADJ
ejpam-5956	69	29	and	and	CCONJ
ejpam-5956	69	30	lower	low	ADJ
ejpam-5956	69	31	pfm	pfm	NOUN
ejpam-5956	69	32	between	between	ADP
ejpam-5956	69	33	two	two	NUM
ejpam-5956	69	34	picture	picture	NOUN
ejpam-5956	69	35	fuzzy	fuzzy	ADJ
ejpam-5956	69	36	ideal	ideal	ADJ
ejpam-5956	69	37	topological	topological	ADJ
ejpam-5956	69	38	spaces	space	NOUN
ejpam-5956	69	39	.	.	PUNCT
ejpam-5956	70	1	2	2	X
ejpam-5956	70	2	.	.	X
ejpam-5956	70	3	picture	picture	NOUN
ejpam-5956	70	4	fuzzy	fuzzy	ADJ
ejpam-5956	70	5	operations	operation	NOUN
ejpam-5956	70	6	continuing	continue	VERB
ejpam-5956	70	7	from	from	ADP
ejpam-5956	70	8	previous	previous	ADJ
ejpam-5956	70	9	discussions	discussion	NOUN
ejpam-5956	70	10	and	and	CCONJ
ejpam-5956	70	11	the	the	DET
ejpam-5956	70	12	notions	notion	NOUN
ejpam-5956	70	13	given	give	VERB
ejpam-5956	70	14	by	by	ADP
ejpam-5956	70	15	atanassov	atanassov	NOUN
ejpam-5956	70	16	in	in	ADP
ejpam-5956	70	17	[	[	X
ejpam-5956	70	18	4	4	NUM
ejpam-5956	70	19	,	,	PUNCT
ejpam-5956	70	20	31	31	NUM
ejpam-5956	70	21	]	]	PUNCT
ejpam-5956	70	22	,	,	PUNCT
ejpam-5956	70	23	let	let	VERB
ejpam-5956	70	24	’s	’s	PRON
ejpam-5956	70	25	define	define	VERB
ejpam-5956	70	26	a	a	DET
ejpam-5956	70	27	pfs	pfs	NOUN
ejpam-5956	70	28	k	k	X
ejpam-5956	70	29	on	on	ADP
ejpam-5956	70	30	the	the	DET
ejpam-5956	70	31	universal	universal	ADJ
ejpam-5956	70	32	set	set	NOUN
ejpam-5956	70	33	ξ	ξ	PROPN
ejpam-5956	70	34	.	.	PUNCT
ejpam-5956	71	1	the	the	DET
ejpam-5956	71	2	set	set	NOUN
ejpam-5956	71	3	k	k	PROPN
ejpam-5956	71	4	consists	consist	VERB
ejpam-5956	71	5	of	of	ADP
ejpam-5956	71	6	elements	element	NOUN
ejpam-5956	71	7	ξ	ξ	PROPN
ejpam-5956	71	8	∈	∈	SYM
ejpam-5956	71	9	ξ	ξ	PROPN
ejpam-5956	71	10	,	,	PUNCT
ejpam-5956	71	11	each	each	PRON
ejpam-5956	71	12	described	describe	VERB
ejpam-5956	71	13	by	by	ADP
ejpam-5956	71	14	degrees	degree	NOUN
ejpam-5956	71	15	of	of	ADP
ejpam-5956	71	16	positivism	positivism	NOUN
ejpam-5956	71	17	(	(	PUNCT
ejpam-5956	71	18	ωk(ξ	ωk(ξ	NUM
ejpam-5956	71	19	)	)	PUNCT
ejpam-5956	71	20	)	)	PUNCT
ejpam-5956	71	21	,	,	PUNCT
ejpam-5956	71	22	negativism	negativism	NOUN
ejpam-5956	71	23	(	(	PUNCT
ejpam-5956	71	24	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	71	25	)	)	PUNCT
ejpam-5956	71	26	)	)	PUNCT
ejpam-5956	71	27	,	,	PUNCT
ejpam-5956	71	28	and	and	CCONJ
ejpam-5956	71	29	neutralism	neutralism	NOUN
ejpam-5956	71	30	(	(	PUNCT
ejpam-5956	71	31	σk(ξ	σk(ξ	NUM
ejpam-5956	71	32	)	)	PUNCT
ejpam-5956	71	33	)	)	PUNCT
ejpam-5956	71	34	that	that	PRON
ejpam-5956	71	35	lie	lie	VERB
ejpam-5956	71	36	within	within	ADP
ejpam-5956	71	37	the	the	DET
ejpam-5956	71	38	interval	interval	NOUN
ejpam-5956	71	39	[	[	X
ejpam-5956	71	40	0	0	NUM
ejpam-5956	71	41	,	,	PUNCT
ejpam-5956	71	42	1	1	NUM
ejpam-5956	71	43	]	]	PUNCT
ejpam-5956	71	44	.	.	PUNCT
ejpam-5956	72	1	specifically	specifically	ADV
ejpam-5956	72	2	,	,	PUNCT
ejpam-5956	72	3	k	k	PROPN
ejpam-5956	72	4	is	be	AUX
ejpam-5956	72	5	represented	represent	VERB
ejpam-5956	72	6	as	as	ADP
ejpam-5956	72	7	{	{	PUNCT
ejpam-5956	72	8	⟨ξ	⟨ξ	NOUN
ejpam-5956	72	9	,	,	PUNCT
ejpam-5956	72	10	ωk(ξ	ωk(ξ	NUM
ejpam-5956	72	11	)	)	PUNCT
ejpam-5956	72	12	,	,	PUNCT
ejpam-5956	72	13	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	72	14	)	)	PUNCT
ejpam-5956	72	15	,	,	PUNCT
ejpam-5956	72	16	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	72	17	|ξ	|ξ	VERB
ejpam-5956	72	18	∈	∈	NOUN
ejpam-5956	72	19	ξ	ξ	NOUN
ejpam-5956	72	20	}	}	PUNCT
ejpam-5956	72	21	,	,	PUNCT
ejpam-5956	72	22	where	where	SCONJ
ejpam-5956	72	23	each	each	DET
ejpam-5956	72	24	component	component	NOUN
ejpam-5956	72	25	satisfies	satisfy	VERB
ejpam-5956	72	26	the	the	DET
ejpam-5956	72	27	condition	condition	NOUN
ejpam-5956	72	28	0	0	NUM
ejpam-5956	72	29	≤	≤	NOUN
ejpam-5956	72	30	ωk(ξ)+	ωk(ξ)+	NOUN
ejpam-5956	72	31	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	72	32	)	)	PUNCT
ejpam-5956	72	33	+	+	NUM
ejpam-5956	72	34	σk(ξ	σk(ξ	X
ejpam-5956	72	35	)	)	PUNCT
ejpam-5956	72	36	≤	≤	NUM
ejpam-5956	72	37	1	1	NUM
ejpam-5956	72	38	for	for	ADP
ejpam-5956	72	39	every	every	DET
ejpam-5956	72	40	element	element	NOUN
ejpam-5956	72	41	ξ	ξ	PROPN
ejpam-5956	72	42	.	.	PUNCT
ejpam-5956	73	1	the	the	DET
ejpam-5956	73	2	term	term	NOUN
ejpam-5956	73	3	πk(ξ	πk(ξ	PUNCT
ejpam-5956	73	4	)	)	PUNCT
ejpam-5956	73	5	=	=	SYM
ejpam-5956	73	6	1	1	NUM
ejpam-5956	73	7	−	−	NOUN
ejpam-5956	73	8	(	(	PUNCT
ejpam-5956	73	9	ωk(ξ	ωk(ξ	NUM
ejpam-5956	73	10	)	)	PUNCT
ejpam-5956	73	11	+	+	CCONJ
ejpam-5956	73	12	ϖk(ξ	ϖk(ξ	X
ejpam-5956	73	13	)	)	PUNCT
ejpam-5956	73	14	+	+	NUM
ejpam-5956	73	15	σk(ξ	σk(ξ	NUM
ejpam-5956	73	16	)	)	PUNCT
ejpam-5956	73	17	)	)	PUNCT
ejpam-5956	73	18	indicates	indicate	VERB
ejpam-5956	73	19	the	the	DET
ejpam-5956	73	20	degree	degree	NOUN
ejpam-5956	73	21	of	of	ADP
ejpam-5956	73	22	refusal	refusal	NOUN
ejpam-5956	73	23	membership	membership	NOUN
ejpam-5956	73	24	value	value	NOUN
ejpam-5956	73	25	for	for	ADP
ejpam-5956	73	26	each	each	DET
ejpam-5956	73	27	ξ	ξ	PROPN
ejpam-5956	73	28	in	in	ADP
ejpam-5956	73	29	k	k	PROPN
ejpam-5956	73	30	,	,	PUNCT
ejpam-5956	73	31	quantifying	quantify	VERB
ejpam-5956	73	32	the	the	DET
ejpam-5956	73	33	extent	extent	NOUN
ejpam-5956	73	34	to	to	PART
ejpam-5956	73	35	which	which	PRON
ejpam-5956	73	36	ξ	ξ	PROPN
ejpam-5956	73	37	does	do	AUX
ejpam-5956	73	38	not	not	PART
ejpam-5956	73	39	belong	belong	VERB
ejpam-5956	73	40	to	to	ADP
ejpam-5956	73	41	k.	k.	PROPN
ejpam-5956	73	42	this	this	DET
ejpam-5956	73	43	framework	framework	NOUN
ejpam-5956	73	44	is	be	AUX
ejpam-5956	73	45	pivotal	pivotal	ADJ
ejpam-5956	73	46	for	for	ADP
ejpam-5956	73	47	assessing	assess	VERB
ejpam-5956	73	48	and	and	CCONJ
ejpam-5956	73	49	handling	handle	VERB
ejpam-5956	73	50	the	the	DET
ejpam-5956	73	51	nuances	nuance	NOUN
ejpam-5956	73	52	of	of	ADP
ejpam-5956	73	53	membership	membership	NOUN
ejpam-5956	73	54	within	within	ADP
ejpam-5956	73	55	pfss	pfss	NOUN
ejpam-5956	73	56	,	,	PUNCT
ejpam-5956	73	57	enabling	enable	VERB
ejpam-5956	73	58	a	a	DET
ejpam-5956	73	59	more	more	ADV
ejpam-5956	73	60	comprehensive	comprehensive	ADJ
ejpam-5956	73	61	analysis	analysis	NOUN
ejpam-5956	73	62	of	of	ADP
ejpam-5956	73	63	elements	element	NOUN
ejpam-5956	73	64	based	base	VERB
ejpam-5956	73	65	on	on	ADP
ejpam-5956	73	66	their	their	PRON
ejpam-5956	73	67	multiple	multiple	ADJ
ejpam-5956	73	68	affinities	affinity	NOUN
ejpam-5956	73	69	.	.	PUNCT
ejpam-5956	74	1	definition	definition	NOUN
ejpam-5956	74	2	2.1	2.1	NUM
ejpam-5956	74	3	.	.	PUNCT
ejpam-5956	75	1	[	[	X
ejpam-5956	75	2	4	4	NUM
ejpam-5956	75	3	,	,	PUNCT
ejpam-5956	75	4	31	31	NUM
ejpam-5956	75	5	]	]	PUNCT
ejpam-5956	75	6	let	let	VERB
ejpam-5956	75	7	ξ	ξ	X
ejpam-5956	75	8	be	be	AUX
ejpam-5956	75	9	a	a	DET
ejpam-5956	75	10	nonempty	nonempty	ADJ
ejpam-5956	75	11	set	set	NOUN
ejpam-5956	75	12	,	,	PUNCT
ejpam-5956	75	13	k	k	PROPN
ejpam-5956	75	14	=	=	PUNCT
ejpam-5956	75	15	{	{	PUNCT
ejpam-5956	75	16	⟨ξ	⟨ξ	NOUN
ejpam-5956	75	17	,	,	PUNCT
ejpam-5956	75	18	ωk(ξ	ωk(ξ	NUM
ejpam-5956	75	19	)	)	PUNCT
ejpam-5956	75	20	,	,	PUNCT
ejpam-5956	75	21	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	75	22	)	)	PUNCT
ejpam-5956	75	23	,	,	PUNCT
ejpam-5956	75	24	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	75	25	|ξ	|ξ	VERB
ejpam-5956	75	26	∈	∈	NOUN
ejpam-5956	75	27	ξ	ξ	NOUN
ejpam-5956	75	28	}	}	PUNCT
ejpam-5956	75	29	and	and	CCONJ
ejpam-5956	75	30	q	q	ADJ
ejpam-5956	75	31	=	=	SYM
ejpam-5956	75	32	{	{	PUNCT
ejpam-5956	75	33	⟨ξ	⟨ξ	PROPN
ejpam-5956	75	34	,	,	PUNCT
ejpam-5956	75	35	ω	ω	PROPN
ejpam-5956	75	36	q(ξ	q(ξ	PROPN
ejpam-5956	75	37	)	)	PUNCT
ejpam-5956	75	38	,	,	PUNCT
ejpam-5956	75	39	ϖ	ϖ	X
ejpam-5956	75	40	q(ξ	q(ξ	ADJ
ejpam-5956	75	41	)	)	PUNCT
ejpam-5956	75	42	,	,	PUNCT
ejpam-5956	75	43	σ	σ	PROPN
ejpam-5956	75	44	q(ξ)⟩	q(ξ)⟩	PROPN
ejpam-5956	75	45	|ξ	|ξ	VERB
ejpam-5956	75	46	∈	∈	NOUN
ejpam-5956	75	47	ξ	ξ	NOUN
ejpam-5956	75	48	}	}	PUNCT
ejpam-5956	75	49	.	.	PUNCT
ejpam-5956	76	1	then	then	ADV
ejpam-5956	76	2	,	,	PUNCT
ejpam-5956	76	3	(	(	PUNCT
ejpam-5956	76	4	1	1	X
ejpam-5956	76	5	)	)	PUNCT
ejpam-5956	76	6	k	k	NOUN
ejpam-5956	76	7	⊆	⊆	NUM
ejpam-5956	76	8	q	q	SYM
ejpam-5956	76	9	iff	iff	NOUN
ejpam-5956	76	10	for	for	ADP
ejpam-5956	76	11	all	all	DET
ejpam-5956	76	12	ξ	ξ	PROPN
ejpam-5956	76	13	∈	∈	PROPN
ejpam-5956	76	14	ξ	ξ	PROPN
ejpam-5956	76	15	,	,	PUNCT
ejpam-5956	76	16	ωk(ξ	ωk(ξ	NUM
ejpam-5956	76	17	)	)	PUNCT
ejpam-5956	76	18	≤	≤	NUM
ejpam-5956	76	19	ω	ω	NUM
ejpam-5956	76	20	q(ξ	q(ξ	PROPN
ejpam-5956	76	21	)	)	PUNCT
ejpam-5956	76	22	,	,	PUNCT
ejpam-5956	76	23	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	76	24	)	)	PUNCT
ejpam-5956	76	25	≥	≥	NOUN
ejpam-5956	76	26	ϖ	ϖ	X
ejpam-5956	76	27	q(ξ	q(ξ	PROPN
ejpam-5956	76	28	)	)	PUNCT
ejpam-5956	76	29	and	and	CCONJ
ejpam-5956	76	30	σk(ξ	σk(ξ	NUM
ejpam-5956	76	31	)	)	PUNCT
ejpam-5956	76	32	≤	≤	NUM
ejpam-5956	76	33	σ	σ	NUM
ejpam-5956	76	34	q(ξ	q(ξ	PROPN
ejpam-5956	76	35	)	)	PUNCT
ejpam-5956	76	36	or	or	CCONJ
ejpam-5956	76	37	σk(ξ	σk(ξ	NUM
ejpam-5956	76	38	)	)	PUNCT
ejpam-5956	76	39	≥	≥	PROPN
ejpam-5956	76	40	σ	σ	NUM
ejpam-5956	76	41	q(ξ	q(ξ	PROPN
ejpam-5956	76	42	)	)	PUNCT
ejpam-5956	76	43	(	(	PUNCT
ejpam-5956	76	44	2	2	X
ejpam-5956	76	45	)	)	PUNCT
ejpam-5956	76	46	k	k	NOUN
ejpam-5956	76	47	∪	∪	NOUN
ejpam-5956	76	48	q	q	PROPN
ejpam-5956	76	49	=	=	PUNCT
ejpam-5956	76	50	{	{	PUNCT
ejpam-5956	76	51	⟨ξ	⟨ξ	NOUN
ejpam-5956	76	52	,	,	PUNCT
ejpam-5956	76	53	(	(	PUNCT
ejpam-5956	76	54	ωk(ξ	ωk(ξ	NUM
ejpam-5956	76	55	)	)	PUNCT
ejpam-5956	76	56	∨	∨	NUM
ejpam-5956	76	57	ω	ω	NUM
ejpam-5956	76	58	q(ξ	q(ξ	PROPN
ejpam-5956	76	59	)	)	PUNCT
ejpam-5956	76	60	)	)	PUNCT
ejpam-5956	76	61	,	,	PUNCT
ejpam-5956	76	62	(	(	PUNCT
ejpam-5956	76	63	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	76	64	)	)	PUNCT
ejpam-5956	76	65	∧ϖ	∧ϖ	NOUN
ejpam-5956	76	66	q(ξ	q(ξ	ADV
ejpam-5956	76	67	)	)	PUNCT
ejpam-5956	76	68	)	)	PUNCT
ejpam-5956	76	69	,	,	PUNCT
ejpam-5956	76	70	(	(	PUNCT
ejpam-5956	76	71	σk(ξ	σk(ξ	X
ejpam-5956	76	72	)	)	PUNCT
ejpam-5956	76	73	∧	∧	PROPN
ejpam-5956	76	74	σ	σ	PROPN
ejpam-5956	76	75	q(ξ))⟩	q(ξ))⟩	PROPN
ejpam-5956	76	76	|ξ	|ξ	VERB
ejpam-5956	76	77	∈	∈	NOUN
ejpam-5956	76	78	ξ	ξ	PRON
ejpam-5956	76	79	}	}	PUNCT
ejpam-5956	76	80	(	(	PUNCT
ejpam-5956	76	81	3	3	X
ejpam-5956	76	82	)	)	PUNCT
ejpam-5956	76	83	k	k	NOUN
ejpam-5956	76	84	∩	∩	NOUN
ejpam-5956	76	85	q	q	X
ejpam-5956	76	86	=	=	SYM
ejpam-5956	76	87	{	{	PUNCT
ejpam-5956	76	88	⟨ξ	⟨ξ	NOUN
ejpam-5956	76	89	,	,	PUNCT
ejpam-5956	76	90	(	(	PUNCT
ejpam-5956	76	91	ωk(ξ	ωk(ξ	ADV
ejpam-5956	76	92	)	)	PUNCT
ejpam-5956	76	93	∧	∧	PROPN
ejpam-5956	76	94	ω	ω	PROPN
ejpam-5956	76	95	q(ξ	q(ξ	PROPN
ejpam-5956	76	96	)	)	PUNCT
ejpam-5956	76	97	)	)	PUNCT
ejpam-5956	76	98	,	,	PUNCT
ejpam-5956	76	99	(	(	PUNCT
ejpam-5956	76	100	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	76	101	)	)	PUNCT
ejpam-5956	76	102	∨ϖ	∨ϖ	VERB
ejpam-5956	76	103	q(ξ	q(ξ	PROPN
ejpam-5956	76	104	)	)	PUNCT
ejpam-5956	76	105	)	)	PUNCT
ejpam-5956	76	106	,	,	PUNCT
ejpam-5956	76	107	(	(	PUNCT
ejpam-5956	76	108	σk(ξ	σk(ξ	X
ejpam-5956	76	109	)	)	PUNCT
ejpam-5956	76	110	∧	∧	PROPN
ejpam-5956	76	111	σ	σ	PROPN
ejpam-5956	76	112	q(ξ))⟩	q(ξ))⟩	PROPN
ejpam-5956	76	113	|ξ	|ξ	VERB
ejpam-5956	76	114	∈	∈	NOUN
ejpam-5956	76	115	ξ	ξ	PRON
ejpam-5956	76	116	}	}	PUNCT
ejpam-5956	76	117	(	(	PUNCT
ejpam-5956	76	118	4)k	4)k	NUM
ejpam-5956	76	119	⊔	⊔	VERB
ejpam-5956	76	120	q	q	NOUN
ejpam-5956	77	1	=	=	PUNCT
ejpam-5956	77	2	{	{	PUNCT
ejpam-5956	77	3	〈	〈	PROPN
ejpam-5956	77	4	ξ	ξ	PROPN
ejpam-5956	77	5	,	,	PUNCT
ejpam-5956	77	6	ωk(ξ	ωk(ξ	NUM
ejpam-5956	77	7	)	)	PUNCT
ejpam-5956	78	1	+	+	CCONJ
ejpam-5956	79	1	ω	ω	NUM
ejpam-5956	79	2	q(ξ)−	q(ξ)−	PROPN
ejpam-5956	80	1	[	[	X
ejpam-5956	80	2	(	(	PUNCT
ejpam-5956	80	3	ωk(ξ).ω	ωk(ξ).ω	ADJ
ejpam-5956	80	4	q(ξ	q(ξ	ADJ
ejpam-5956	80	5	)	)	PUNCT
ejpam-5956	80	6	)	)	PUNCT
ejpam-5956	81	1	∧	∧	NOUN
ejpam-5956	81	2	(	(	PUNCT
ejpam-5956	81	3	σk(ξ).σ	σk(ξ).σ	NOUN
ejpam-5956	81	4	q(ξ	q(ξ	ADJ
ejpam-5956	81	5	)	)	PUNCT
ejpam-5956	81	6	)	)	PUNCT
ejpam-5956	81	7	]	]	PUNCT
ejpam-5956	81	8	,	,	PUNCT
ejpam-5956	81	9	ϖk(ξ).ϖ	ϖk(ξ).ϖ	PROPN
ejpam-5956	81	10	q(ξ	q(ξ	PROPN
ejpam-5956	81	11	)	)	PUNCT
ejpam-5956	81	12	,	,	PUNCT
ejpam-5956	81	13	σk(ξ).σ	σk(ξ).σ	PROPN
ejpam-5956	81	14	q(ξ	q(ξ	ADV
ejpam-5956	81	15	)	)	PUNCT
ejpam-5956	81	16	〉	〉	NOUN
ejpam-5956	81	17	|ξ	|ξ	VERB
ejpam-5956	81	18	∈	∈	PROPN
ejpam-5956	81	19	ξ	ξ	PROPN
ejpam-5956	81	20	}	}	PUNCT
ejpam-5956	81	21	dali	dali	PROPN
ejpam-5956	81	22	shi	shi	PROPN
ejpam-5956	81	23	et	et	PROPN
ejpam-5956	81	24	al	al	PROPN
ejpam-5956	81	25	.	.	PUNCT
ejpam-5956	81	26	/	/	SYM
ejpam-5956	81	27	eur	eur	PROPN
ejpam-5956	81	28	.	.	PUNCT
ejpam-5956	82	1	j.	j.	PROPN
ejpam-5956	82	2	pure	pure	PROPN
ejpam-5956	82	3	appl	appl	PROPN
ejpam-5956	82	4	.	.	PROPN
ejpam-5956	82	5	math	math	PROPN
ejpam-5956	82	6	,	,	PUNCT
ejpam-5956	82	7	18	18	NUM
ejpam-5956	82	8	(	(	PUNCT
ejpam-5956	82	9	2	2	NUM
ejpam-5956	82	10	)	)	PUNCT
ejpam-5956	82	11	(	(	PUNCT
ejpam-5956	82	12	2025	2025	NUM
ejpam-5956	82	13	)	)	PUNCT
ejpam-5956	82	14	,	,	PUNCT
ejpam-5956	82	15	5956	5956	NUM
ejpam-5956	82	16	4	4	NUM
ejpam-5956	82	17	of	of	ADP
ejpam-5956	82	18	30	30	NUM
ejpam-5956	82	19	(	(	PUNCT
ejpam-5956	82	20	5)k	5)k	NUM
ejpam-5956	82	21	⊓	⊓	PROPN
ejpam-5956	82	22	q	q	NOUN
ejpam-5956	82	23	=	=	NOUN
ejpam-5956	82	24	{	{	PUNCT
ejpam-5956	82	25	〈	〈	PROPN
ejpam-5956	82	26	ξ	ξ	PROPN
ejpam-5956	82	27	,	,	PUNCT
ejpam-5956	82	28	ωk(ξ).ω	ωk(ξ).ω	PROPN
ejpam-5956	82	29	q(ξ	q(ξ	ADJ
ejpam-5956	82	30	)	)	PUNCT
ejpam-5956	82	31	,	,	PUNCT
ejpam-5956	82	32	ϖk(ξ	ϖk(ξ	PUNCT
ejpam-5956	82	33	)	)	PUNCT
ejpam-5956	83	1	+	+	ADP
ejpam-5956	83	2	ϖ	ϖ	X
ejpam-5956	83	3	q(ξ)−	q(ξ)−	NOUN
ejpam-5956	84	1	[	[	X
ejpam-5956	84	2	(	(	PUNCT
ejpam-5956	84	3	ϖk(ξ).ϖ	ϖk(ξ).ϖ	PROPN
ejpam-5956	84	4	q(ξ	q(ξ	ADJ
ejpam-5956	84	5	)	)	PUNCT
ejpam-5956	84	6	)	)	PUNCT
ejpam-5956	85	1	∧	∧	NOUN
ejpam-5956	85	2	(	(	PUNCT
ejpam-5956	85	3	σk(ξ).σ	σk(ξ).σ	PROPN
ejpam-5956	85	4	q	q	NOUN
ejpam-5956	85	5	(	(	PUNCT
ejpam-5956	85	6	ξ	ξ	NOUN
ejpam-5956	85	7	)	)	PUNCT
ejpam-5956	85	8	)	)	PUNCT
ejpam-5956	85	9	]	]	PUNCT
ejpam-5956	85	10	,	,	PUNCT
ejpam-5956	85	11	σk(ξ).σ	σk(ξ).σ	PROPN
ejpam-5956	85	12	q(ξ	q(ξ	ADV
ejpam-5956	85	13	)	)	PUNCT
ejpam-5956	85	14	〉	〉	NOUN
ejpam-5956	85	15	|ξ	|ξ	VERB
ejpam-5956	85	16	∈	∈	NOUN
ejpam-5956	85	17	ξ	ξ	X
ejpam-5956	85	18	}	}	PUNCT
ejpam-5956	85	19	(	(	PUNCT
ejpam-5956	85	20	6)k@	6)k@	NOUN
ejpam-5956	85	21	q	q	NOUN
ejpam-5956	86	1	=	=	PUNCT
ejpam-5956	86	2	{	{	PUNCT
ejpam-5956	86	3	〈	〈	PROPN
ejpam-5956	86	4	ξ	ξ	PROPN
ejpam-5956	86	5	,	,	PUNCT
ejpam-5956	86	6	ωk	ωk	ADP
ejpam-5956	86	7	(	(	PUNCT
ejpam-5956	86	8	ξ)+ω	ξ)+ω	PROPN
ejpam-5956	86	9	q	q	PROPN
ejpam-5956	86	10	(	(	PUNCT
ejpam-5956	86	11	ξ	ξ	NOUN
ejpam-5956	86	12	)	)	PUNCT
ejpam-5956	86	13	2	2	NUM
ejpam-5956	86	14	,	,	PUNCT
ejpam-5956	86	15	ϖk	ϖk	INTJ
ejpam-5956	86	16	(	(	PUNCT
ejpam-5956	86	17	ξ)+ϖ	ξ)+ϖ	INTJ
ejpam-5956	86	18	q	q	X
ejpam-5956	86	19	(	(	PUNCT
ejpam-5956	86	20	ξ	ξ	NOUN
ejpam-5956	86	21	)	)	PUNCT
ejpam-5956	86	22	2	2	NUM
ejpam-5956	86	23	,	,	PUNCT
ejpam-5956	86	24	σk	σk	X
ejpam-5956	86	25	(	(	PUNCT
ejpam-5956	86	26	ξ)+σ	ξ)+σ	PROPN
ejpam-5956	86	27	q	q	X
ejpam-5956	86	28	(	(	PUNCT
ejpam-5956	86	29	ξ	ξ	NOUN
ejpam-5956	86	30	)	)	PUNCT
ejpam-5956	86	31	2	2	NUM
ejpam-5956	86	32	〉	〉	NOUN
ejpam-5956	86	33	|ξ	|ξ	VERB
ejpam-5956	86	34	∈	∈	NOUN
ejpam-5956	86	35	ξ	ξ	X
ejpam-5956	86	36	}	}	PUNCT
ejpam-5956	86	37	(	(	PUNCT
ejpam-5956	86	38	7	7	X
ejpam-5956	86	39	)	)	PUNCT
ejpam-5956	86	40	k	k	NOUN
ejpam-5956	86	41	#	#	NOUN
ejpam-5956	86	42	q	q	NOUN
ejpam-5956	86	43	=	=	PUNCT
ejpam-5956	86	44	{	{	PUNCT
ejpam-5956	86	45	⟨ξ	⟨ξ	NOUN
ejpam-5956	86	46	,	,	PUNCT
ejpam-5956	86	47	ωk(ξ).ω	ωk(ξ).ω	PROPN
ejpam-5956	86	48	q(ξ	q(ξ	ADJ
ejpam-5956	86	49	)	)	PUNCT
ejpam-5956	86	50	,	,	PUNCT
ejpam-5956	86	51	(	(	PUNCT
ejpam-5956	86	52	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	86	53	)	)	PUNCT
ejpam-5956	86	54	∨ϖ	∨ϖ	VERB
ejpam-5956	86	55	q(ξ	q(ξ	PROPN
ejpam-5956	86	56	)	)	PUNCT
ejpam-5956	86	57	)	)	PUNCT
ejpam-5956	86	58	,	,	PUNCT
ejpam-5956	86	59	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	86	60	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	86	61	|ξ	|ξ	VERB
ejpam-5956	86	62	∈	∈	NOUN
ejpam-5956	86	63	ξ	ξ	NOUN
ejpam-5956	86	64	}	}	PUNCT
ejpam-5956	86	65	(	(	PUNCT
ejpam-5956	86	66	8)	8)	NUM
ejpam-5956	86	67	k	k	PROPN
ejpam-5956	86	68	∗	∗	NOUN
ejpam-5956	86	69	q	q	NOUN
ejpam-5956	86	70	=	=	PUNCT
ejpam-5956	86	71	{	{	PUNCT
ejpam-5956	86	72	⟨ξ	⟨ξ	NOUN
ejpam-5956	86	73	,	,	PUNCT
ejpam-5956	86	74	(	(	PUNCT
ejpam-5956	86	75	ωk(ξ	ωk(ξ	NUM
ejpam-5956	86	76	)	)	PUNCT
ejpam-5956	86	77	∨	∨	NUM
ejpam-5956	86	78	ω	ω	NUM
ejpam-5956	86	79	q(ξ	q(ξ	PROPN
ejpam-5956	86	80	)	)	PUNCT
ejpam-5956	86	81	)	)	PUNCT
ejpam-5956	86	82	,	,	PUNCT
ejpam-5956	86	83	ϖk(ξ).ϖ	ϖk(ξ).ϖ	PROPN
ejpam-5956	86	84	q(ξ	q(ξ	PROPN
ejpam-5956	86	85	)	)	PUNCT
ejpam-5956	86	86	,	,	PUNCT
ejpam-5956	86	87	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	86	88	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	86	89	|ξ	|ξ	VERB
ejpam-5956	86	90	∈	∈	NOUN
ejpam-5956	86	91	ξ	ξ	PRON
ejpam-5956	86	92	}	}	PUNCT
ejpam-5956	86	93	(	(	PUNCT
ejpam-5956	86	94	9	9	NUM
ejpam-5956	86	95	)	)	PUNCT
ejpam-5956	86	96	ⅎ	ⅎ	PROPN
ejpam-5956	86	97	k	k	NOUN
ejpam-5956	86	98	=	=	PUNCT
ejpam-5956	86	99	{	{	PUNCT
ejpam-5956	86	100	⟨ξ,ϖk(ξ	⟨ξ,ϖk(ξ	NOUN
ejpam-5956	86	101	)	)	PUNCT
ejpam-5956	86	102	,	,	PUNCT
ejpam-5956	86	103	ωk(ξ	ωk(ξ	NUM
ejpam-5956	86	104	)	)	PUNCT
ejpam-5956	86	105	,	,	PUNCT
ejpam-5956	86	106	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	86	107	|ξ	|ξ	VERB
ejpam-5956	86	108	∈	∈	NOUN
ejpam-5956	86	109	ξ	ξ	PRON
ejpam-5956	86	110	}	}	PUNCT
ejpam-5956	86	111	(	(	PUNCT
ejpam-5956	86	112	10	10	NUM
ejpam-5956	86	113	)	)	PUNCT
ejpam-5956	86	114	k	k	NOUN
ejpam-5956	86	115	⊼	⊼	PROPN
ejpam-5956	86	116	q=	q=	ADV
ejpam-5956	86	117	0	0	PUNCT
ejpam-5956	87	1	if	if	SCONJ
ejpam-5956	87	2	k	k	PROPN
ejpam-5956	87	3	⊆	⊆	NUM
ejpam-5956	87	4	q	q	NOUN
ejpam-5956	87	5	,	,	PUNCT
ejpam-5956	87	6	and	and	CCONJ
ejpam-5956	87	7	k	k	PROPN
ejpam-5956	87	8	⊼	⊼	NOUN
ejpam-5956	87	9	q=	q=	CCONJ
ejpam-5956	87	10	k	k	PROPN
ejpam-5956	87	11	∩	∩	X
ejpam-5956	87	12	(	(	PUNCT
ejpam-5956	87	13	ⅎ	ⅎ	X
ejpam-5956	87	14	q	q	NOUN
ejpam-5956	87	15	)	)	PUNCT
ejpam-5956	87	16	otherwise	otherwise	ADV
ejpam-5956	87	17	.	.	PUNCT
ejpam-5956	88	1	now	now	ADV
ejpam-5956	88	2	,	,	PUNCT
ejpam-5956	88	3	the	the	DET
ejpam-5956	88	4	definitions	definition	NOUN
ejpam-5956	88	5	of	of	ADP
ejpam-5956	88	6	standard	standard	ADJ
ejpam-5956	88	7	two	two	NUM
ejpam-5956	88	8	modal	modal	ADJ
ejpam-5956	88	9	operators	operator	NOUN
ejpam-5956	88	10	over	over	ADP
ejpam-5956	88	11	pfss	pfss	NOUN
ejpam-5956	88	12	are	be	AUX
ejpam-5956	88	13	presented	present	VERB
ejpam-5956	88	14	.	.	PUNCT
ejpam-5956	89	1	□	□	PUNCT
ejpam-5956	89	2	k	k	X
ejpam-5956	89	3	=	=	SYM
ejpam-5956	89	4	{	{	PUNCT
ejpam-5956	89	5	⟨ξ	⟨ξ	NOUN
ejpam-5956	89	6	,	,	PUNCT
ejpam-5956	89	7	ωk(ξ	ωk(ξ	NUM
ejpam-5956	89	8	)	)	PUNCT
ejpam-5956	89	9	,	,	PUNCT
ejpam-5956	89	10	1−	1−	NUM
ejpam-5956	89	11	ωk(ξ)−	ωk(ξ)−	PROPN
ejpam-5956	89	12	σk(ξ	σk(ξ	NUM
ejpam-5956	89	13	)	)	PUNCT
ejpam-5956	90	1	,	,	PUNCT
ejpam-5956	90	2	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	90	3	|ξ	|ξ	VERB
ejpam-5956	90	4	∈	∈	NOUN
ejpam-5956	90	5	ξ	ξ	NOUN
ejpam-5956	90	6	}	}	PUNCT
ejpam-5956	90	7	,	,	PUNCT
ejpam-5956	90	8	3k	3k	X
ejpam-5956	90	9	=	=	SYM
ejpam-5956	90	10	{	{	PUNCT
ejpam-5956	90	11	⟨ξ	⟨ξ	NOUN
ejpam-5956	90	12	,	,	PUNCT
ejpam-5956	90	13	1−ϖk(ξ)−	1−ϖk(ξ)−	NUM
ejpam-5956	90	14	σk(ξ	σk(ξ	NUM
ejpam-5956	90	15	)	)	PUNCT
ejpam-5956	90	16	,	,	PUNCT
ejpam-5956	90	17	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	90	18	)	)	PUNCT
ejpam-5956	90	19	,	,	PUNCT
ejpam-5956	90	20	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	90	21	|ξ	|ξ	VERB
ejpam-5956	90	22	∈	∈	NOUN
ejpam-5956	90	23	ξ	ξ	NOUN
ejpam-5956	90	24	}	}	PUNCT
ejpam-5956	90	25	.	.	PUNCT
ejpam-5956	91	1	we	we	PRON
ejpam-5956	91	2	can	can	AUX
ejpam-5956	91	3	see	see	VERB
ejpam-5956	91	4	that	that	SCONJ
ejpam-5956	91	5	□	□	PROPN
ejpam-5956	91	6	k	k	PROPN
ejpam-5956	91	7	⊆	⊆	NUM
ejpam-5956	91	8	k	k	PROPN
ejpam-5956	91	9	⊆	⊆	NUM
ejpam-5956	91	10	3k	3k	NUM
ejpam-5956	91	11	in	in	ADP
ejpam-5956	91	12	general	general	ADJ
ejpam-5956	91	13	,	,	PUNCT
ejpam-5956	91	14	and	and	CCONJ
ejpam-5956	91	15	□	□	PUNCT
ejpam-5956	91	16	k	k	PROPN
ejpam-5956	91	17	̸=	̸=	PROPN
ejpam-5956	91	18	k	k	PROPN
ejpam-5956	91	19	̸=	̸=	PROPN
ejpam-5956	91	20	3k	3k	NUM
ejpam-5956	91	21	for	for	ADP
ejpam-5956	91	22	any	any	DET
ejpam-5956	91	23	proper	proper	ADJ
ejpam-5956	91	24	set	set	NOUN
ejpam-5956	91	25	k	k	PROPN
ejpam-5956	91	26	in	in	ADP
ejpam-5956	91	27	(	(	PUNCT
ejpam-5956	91	28	pfs	pfs	PROPN
ejpam-5956	91	29	)	)	PUNCT
ejpam-5956	91	30	,	,	PUNCT
ejpam-5956	91	31	that	that	ADV
ejpam-5956	91	32	is	is	ADV
ejpam-5956	91	33	,	,	PUNCT
ejpam-5956	91	34	σk(ξ	σk(ξ	NUM
ejpam-5956	91	35	)	)	PUNCT
ejpam-5956	91	36	̸=	̸=	PROPN
ejpam-5956	91	37	0	0	NUM
ejpam-5956	91	38	.	.	PUNCT
ejpam-5956	92	1	otherwise	otherwise	ADV
ejpam-5956	92	2	,	,	PUNCT
ejpam-5956	92	3	k	k	PROPN
ejpam-5956	92	4	is	be	AUX
ejpam-5956	92	5	an	an	DET
ejpam-5956	92	6	ifs	ifs	PROPN
ejpam-5956	92	7	and	and	CCONJ
ejpam-5956	92	8	still	still	ADV
ejpam-5956	92	9	□	□	PROPN
ejpam-5956	92	10	k	k	PROPN
ejpam-5956	92	11	⊆	⊆	NUM
ejpam-5956	92	12	k	k	PROPN
ejpam-5956	92	13	⊆	⊆	NUM
ejpam-5956	92	14	3k	3k	NUM
ejpam-5956	92	15	as	as	ADP
ejpam-5956	92	16	usual	usual	ADJ
ejpam-5956	92	17	in	in	ADP
ejpam-5956	92	18	(	(	PUNCT
ejpam-5956	92	19	ifs	ifs	PROPN
ejpam-5956	92	20	)	)	PUNCT
ejpam-5956	92	21	.	.	PUNCT
ejpam-5956	93	1	moreover	moreover	ADV
ejpam-5956	93	2	,	,	PUNCT
ejpam-5956	93	3	if	if	SCONJ
ejpam-5956	93	4	k	k	PROPN
ejpam-5956	93	5	is	be	AUX
ejpam-5956	93	6	non	non	X
ejpam-5956	93	7	proper	proper	ADJ
ejpam-5956	93	8	pfs	pf	NOUN
ejpam-5956	93	9	and	and	CCONJ
ejpam-5956	93	10	ϖk(ξ	ϖk(ξ	ADJ
ejpam-5956	93	11	)	)	PUNCT
ejpam-5956	93	12	=	=	SYM
ejpam-5956	93	13	1	1	NUM
ejpam-5956	93	14	−	−	NOUN
ejpam-5956	93	15	ωk(ξ	ωk(ξ	NUM
ejpam-5956	93	16	)	)	PUNCT
ejpam-5956	93	17	,	,	PUNCT
ejpam-5956	93	18	then	then	ADV
ejpam-5956	93	19	k	k	PROPN
ejpam-5956	93	20	is	be	AUX
ejpam-5956	93	21	a	a	DET
ejpam-5956	93	22	fs	fs	NOUN
ejpam-5956	93	23	and	and	CCONJ
ejpam-5956	93	24	□	□	PUNCT
ejpam-5956	93	25	k	k	X
ejpam-5956	93	26	=	=	PUNCT
ejpam-5956	93	27	k	k	NOUN
ejpam-5956	93	28	=	=	SYM
ejpam-5956	93	29	3k	3k	NUM
ejpam-5956	93	30	.	.	PUNCT
ejpam-5956	94	1	thus	thus	ADV
ejpam-5956	94	2	,	,	PUNCT
ejpam-5956	94	3	(	(	PUNCT
ejpam-5956	94	4	fs	fs	INTJ
ejpam-5956	94	5	)	)	PUNCT
ejpam-5956	94	6	⊆	⊆	NUM
ejpam-5956	94	7	(	(	PUNCT
ejpam-5956	94	8	ifs	ifs	PROPN
ejpam-5956	94	9	)	)	PUNCT
ejpam-5956	94	10	⊆	⊆	NUM
ejpam-5956	94	11	(	(	PUNCT
ejpam-5956	94	12	pfs	pfs	PROPN
ejpam-5956	94	13	)	)	PUNCT
ejpam-5956	94	14	.	.	PUNCT
ejpam-5956	95	1	a	a	DET
ejpam-5956	95	2	pfs	pfs	NOUN
ejpam-5956	95	3	k	k	PROPN
ejpam-5956	95	4	=	=	PUNCT
ejpam-5956	95	5	{	{	PUNCT
ejpam-5956	95	6	⟨ξ	⟨ξ	NOUN
ejpam-5956	95	7	,	,	PUNCT
ejpam-5956	95	8	ωk(ξ	ωk(ξ	NUM
ejpam-5956	95	9	)	)	PUNCT
ejpam-5956	95	10	,	,	PUNCT
ejpam-5956	95	11	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	95	12	)	)	PUNCT
ejpam-5956	96	1	,	,	PUNCT
ejpam-5956	96	2	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	96	3	|ξ	|ξ	VERB
ejpam-5956	96	4	∈	∈	NOUN
ejpam-5956	96	5	ξ	ξ	PRON
ejpam-5956	96	6	}	}	PUNCT
ejpam-5956	96	7	is	be	AUX
ejpam-5956	96	8	called	call	VERB
ejpam-5956	96	9	a	a	DET
ejpam-5956	96	10	picture	picture	NOUN
ejpam-5956	96	11	fuzzy	fuzzy	ADJ
ejpam-5956	96	12	tautological	tautological	ADJ
ejpam-5956	96	13	set	set	NOUN
ejpam-5956	96	14	(	(	PUNCT
ejpam-5956	96	15	pftaut	pftaut	NOUN
ejpam-5956	96	16	)	)	PUNCT
ejpam-5956	96	17	iff	iff	PROPN
ejpam-5956	96	18	for	for	ADP
ejpam-5956	96	19	each	each	DET
ejpam-5956	96	20	ξ	ξ	PROPN
ejpam-5956	96	21	∈	∈	PROPN
ejpam-5956	96	22	ξ	ξ	PROPN
ejpam-5956	96	23	,	,	PUNCT
ejpam-5956	96	24	ωk(ξ	ωk(ξ	NUM
ejpam-5956	96	25	)	)	PUNCT
ejpam-5956	96	26	≥	≥	NOUN
ejpam-5956	96	27	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	96	28	)	)	PUNCT
ejpam-5956	96	29	.	.	PUNCT
ejpam-5956	97	1	♯	♯	PROPN
ejpam-5956	97	2	=	=	SYM
ejpam-5956	97	3	{	{	PUNCT
ejpam-5956	97	4	⟨ξ	⟨ξ	NOUN
ejpam-5956	97	5	,	,	PUNCT
ejpam-5956	97	6	1	1	NUM
ejpam-5956	97	7	,	,	PUNCT
ejpam-5956	97	8	0	0	NUM
ejpam-5956	97	9	,	,	PUNCT
ejpam-5956	97	10	0⟩	0⟩	PROPN
ejpam-5956	97	11	|ξ	|ξ	VERB
ejpam-5956	97	12	∈	∈	PROPN
ejpam-5956	97	13	ξ	ξ	NOUN
ejpam-5956	97	14	}	}	PUNCT
ejpam-5956	97	15	,	,	PUNCT
ejpam-5956	97	16	♭	♭	PROPN
ejpam-5956	97	17	=	=	PUNCT
ejpam-5956	97	18	{	{	PUNCT
ejpam-5956	97	19	⟨ξ	⟨ξ	NOUN
ejpam-5956	97	20	,	,	PUNCT
ejpam-5956	97	21	0	0	NUM
ejpam-5956	97	22	,	,	PUNCT
ejpam-5956	97	23	1	1	NUM
ejpam-5956	97	24	,	,	PUNCT
ejpam-5956	97	25	0⟩	0⟩	PROPN
ejpam-5956	97	26	|ξ	|ξ	VERB
ejpam-5956	97	27	∈	∈	PROPN
ejpam-5956	97	28	ξ	ξ	NOUN
ejpam-5956	97	29	}	}	PUNCT
ejpam-5956	97	30	,	,	PUNCT
ejpam-5956	97	31	♮	♮	NOUN
ejpam-5956	97	32	=	=	PUNCT
ejpam-5956	97	33	{	{	PUNCT
ejpam-5956	97	34	⟨ξ	⟨ξ	NOUN
ejpam-5956	97	35	,	,	PUNCT
ejpam-5956	97	36	0	0	NUM
ejpam-5956	97	37	,	,	PUNCT
ejpam-5956	97	38	0	0	NUM
ejpam-5956	97	39	,	,	PUNCT
ejpam-5956	97	40	1⟩	1⟩	NUM
ejpam-5956	97	41	|ξ	|ξ	X
ejpam-5956	97	42	∈	∈	NOUN
ejpam-5956	97	43	ξ	ξ	NOUN
ejpam-5956	97	44	}	}	PUNCT
ejpam-5956	97	45	,	,	PUNCT
ejpam-5956	97	46	0	0	X
ejpam-5956	97	47	=	=	SYM
ejpam-5956	97	48	{	{	PUNCT
ejpam-5956	97	49	⟨ξ	⟨ξ	NOUN
ejpam-5956	97	50	,	,	PUNCT
ejpam-5956	97	51	0	0	NUM
ejpam-5956	97	52	,	,	PUNCT
ejpam-5956	97	53	0	0	NUM
ejpam-5956	97	54	,	,	PUNCT
ejpam-5956	97	55	0⟩	0⟩	PROPN
ejpam-5956	97	56	|ξ	|ξ	VERB
ejpam-5956	97	57	∈	∈	NOUN
ejpam-5956	97	58	ξ	ξ	NOUN
ejpam-5956	97	59	}	}	PUNCT
ejpam-5956	98	1	where	where	SCONJ
ejpam-5956	98	2	♭	♭	PROPN
ejpam-5956	98	3	⊆	⊆	NUM
ejpam-5956	98	4	k	k	PROPN
ejpam-5956	98	5	⊆	⊆	NUM
ejpam-5956	98	6	♯	♯	PROPN
ejpam-5956	98	7	for	for	ADP
ejpam-5956	98	8	all	all	DET
ejpam-5956	98	9	k	k	PROPN
ejpam-5956	98	10	∈	∈	PROPN
ejpam-5956	98	11	(	(	PUNCT
ejpam-5956	98	12	pfs	pfs	PROPN
ejpam-5956	98	13	)	)	PUNCT
ejpam-5956	98	14	.	.	PUNCT
ejpam-5956	99	1	normally	normally	ADV
ejpam-5956	99	2	,	,	PUNCT
ejpam-5956	99	3	p	p	X
ejpam-5956	99	4	(	(	PUNCT
ejpam-5956	99	5	♭	♭	INTJ
ejpam-5956	99	6	)	)	PUNCT
ejpam-5956	99	7	=	=	SYM
ejpam-5956	99	8	♭	♭	PROPN
ejpam-5956	99	9	and	and	CCONJ
ejpam-5956	99	10	p	p	PROPN
ejpam-5956	99	11	(	(	PUNCT
ejpam-5956	99	12	♯	♯	PROPN
ejpam-5956	99	13	)	)	PUNCT
ejpam-5956	99	14	=	=	PRON
ejpam-5956	99	15	{	{	PUNCT
ejpam-5956	99	16	k|k	k|k	NOUN
ejpam-5956	99	17	⊆	⊆	NUM
ejpam-5956	99	18	♯	♯	PROPN
ejpam-5956	99	19	}	}	PUNCT
ejpam-5956	99	20	where	where	SCONJ
ejpam-5956	99	21	k	k	NOUN
ejpam-5956	99	22	=	=	PRON
ejpam-5956	99	23	{	{	PUNCT
ejpam-5956	99	24	⟨ξ	⟨ξ	NOUN
ejpam-5956	99	25	,	,	PUNCT
ejpam-5956	99	26	ωk(ξ	ωk(ξ	NUM
ejpam-5956	99	27	)	)	PUNCT
ejpam-5956	99	28	,	,	PUNCT
ejpam-5956	99	29	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	99	30	)	)	PUNCT
ejpam-5956	99	31	,	,	PUNCT
ejpam-5956	99	32	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	99	33	|ξ	|ξ	VERB
ejpam-5956	99	34	∈	∈	NOUN
ejpam-5956	99	35	ξ	ξ	NOUN
ejpam-5956	99	36	}	}	PUNCT
ejpam-5956	99	37	.	.	PUNCT
ejpam-5956	100	1	therefore	therefore	ADV
ejpam-5956	100	2	,	,	PUNCT
ejpam-5956	100	3	(	(	PUNCT
ejpam-5956	100	4	pfs	pfs	PROPN
ejpam-5956	100	5	)	)	PUNCT
ejpam-5956	100	6	coincides	coincide	VERB
ejpam-5956	100	7	with	with	ADP
ejpam-5956	100	8	p	p	PROPN
ejpam-5956	100	9	(	(	PUNCT
ejpam-5956	100	10	♯	♯	PROPN
ejpam-5956	100	11	)	)	PUNCT
ejpam-5956	100	12	.	.	PUNCT
ejpam-5956	101	1	(	(	PUNCT
ejpam-5956	101	2	ifs	ifs	PROPN
ejpam-5956	101	3	)	)	PUNCT
ejpam-5956	101	4	coincides	coincide	VERB
ejpam-5956	101	5	with	with	ADP
ejpam-5956	101	6	the	the	DET
ejpam-5956	101	7	set	set	NOUN
ejpam-5956	101	8	{	{	PUNCT
ejpam-5956	101	9	k|k	k|k	NOUN
ejpam-5956	101	10	⊆	⊆	NUM
ejpam-5956	101	11	ξ	ξ	X
ejpam-5956	101	12	}	}	PUNCT
ejpam-5956	101	13	in	in	ADP
ejpam-5956	101	14	which	which	PRON
ejpam-5956	101	15	k	k	PROPN
ejpam-5956	101	16	=	=	PRON
ejpam-5956	101	17	{	{	PUNCT
ejpam-5956	101	18	⟨ξ	⟨ξ	NOUN
ejpam-5956	101	19	,	,	PUNCT
ejpam-5956	101	20	ωk(ξ	ωk(ξ	NUM
ejpam-5956	101	21	)	)	PUNCT
ejpam-5956	101	22	,	,	PUNCT
ejpam-5956	101	23	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	101	24	)	)	PUNCT
ejpam-5956	101	25	,	,	PUNCT
ejpam-5956	101	26	0⟩	0⟩	PROPN
ejpam-5956	101	27	|ξ	|ξ	VERB
ejpam-5956	101	28	∈	∈	PROPN
ejpam-5956	101	29	ξ	ξ	NOUN
ejpam-5956	101	30	}	}	PUNCT
ejpam-5956	101	31	.	.	PUNCT
ejpam-5956	102	1	moreover	moreover	ADV
ejpam-5956	102	2	,	,	PUNCT
ejpam-5956	102	3	(	(	PUNCT
ejpam-5956	102	4	fs	fs	X
ejpam-5956	102	5	)	)	PUNCT
ejpam-5956	102	6	coincides	coincide	VERB
ejpam-5956	102	7	with	with	ADP
ejpam-5956	102	8	the	the	DET
ejpam-5956	102	9	set	set	NOUN
ejpam-5956	102	10	{	{	PUNCT
ejpam-5956	102	11	k|k	k|k	NOUN
ejpam-5956	102	12	⊆	⊆	NUM
ejpam-5956	102	13	ξ	ξ	X
ejpam-5956	102	14	}	}	PUNCT
ejpam-5956	102	15	in	in	ADP
ejpam-5956	102	16	which	which	PRON
ejpam-5956	102	17	k	k	PROPN
ejpam-5956	102	18	=	=	PRON
ejpam-5956	102	19	{	{	PUNCT
ejpam-5956	102	20	⟨ξ	⟨ξ	NOUN
ejpam-5956	102	21	,	,	PUNCT
ejpam-5956	102	22	ωk(ξ	ωk(ξ	NUM
ejpam-5956	102	23	)	)	PUNCT
ejpam-5956	102	24	,	,	PUNCT
ejpam-5956	102	25	1−	1−	NUM
ejpam-5956	102	26	ωk(ξ	ωk(ξ	NUM
ejpam-5956	102	27	)	)	PUNCT
ejpam-5956	102	28	,	,	PUNCT
ejpam-5956	102	29	0⟩	0⟩	PROPN
ejpam-5956	102	30	|ξ	|ξ	VERB
ejpam-5956	102	31	∈	∈	PROPN
ejpam-5956	102	32	ξ	ξ	NOUN
ejpam-5956	102	33	}	}	PUNCT
ejpam-5956	102	34	or	or	CCONJ
ejpam-5956	102	35	k	k	NOUN
ejpam-5956	102	36	=	=	SYM
ejpam-5956	102	37	{	{	PUNCT
ejpam-5956	102	38	⟨ξ	⟨ξ	NOUN
ejpam-5956	102	39	,	,	PUNCT
ejpam-5956	102	40	1−ϖk(ξ	1−ϖk(ξ	NUM
ejpam-5956	102	41	)	)	PUNCT
ejpam-5956	102	42	,	,	PUNCT
ejpam-5956	102	43	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	102	44	)	)	PUNCT
ejpam-5956	102	45	,	,	PUNCT
ejpam-5956	102	46	0⟩	0⟩	PROPN
ejpam-5956	102	47	|ξ	|ξ	VERB
ejpam-5956	102	48	∈	∈	PROPN
ejpam-5956	102	49	ξ	ξ	NOUN
ejpam-5956	102	50	}	}	PUNCT
ejpam-5956	102	51	.	.	PUNCT
ejpam-5956	103	1	any	any	DET
ejpam-5956	103	2	operation	operation	NOUN
ejpam-5956	103	3	from	from	ADP
ejpam-5956	103	4	the	the	DET
ejpam-5956	103	5	above	above	NOUN
ejpam-5956	103	6	is	be	AUX
ejpam-5956	103	7	well	well	ADV
ejpam-5956	103	8	defined	define	VERB
ejpam-5956	103	9	if	if	SCONJ
ejpam-5956	103	10	the	the	DET
ejpam-5956	103	11	sum	sum	NOUN
ejpam-5956	103	12	of	of	ADP
ejpam-5956	103	13	its	its	PRON
ejpam-5956	103	14	three	three	NUM
ejpam-5956	103	15	values	value	NOUN
ejpam-5956	103	16	(	(	PUNCT
ejpam-5956	103	17	positivism	positivism	NOUN
ejpam-5956	103	18	,	,	PUNCT
ejpam-5956	103	19	negativism	negativism	NOUN
ejpam-5956	103	20	and	and	CCONJ
ejpam-5956	103	21	neutralism	neutralism	NOUN
ejpam-5956	103	22	)	)	PUNCT
ejpam-5956	103	23	is	be	AUX
ejpam-5956	103	24	a	a	DET
ejpam-5956	103	25	number	number	NOUN
ejpam-5956	103	26	in	in	ADP
ejpam-5956	103	27	[	[	X
ejpam-5956	103	28	0	0	NUM
ejpam-5956	103	29	,	,	PUNCT
ejpam-5956	103	30	1	1	NUM
ejpam-5956	103	31	]	]	PUNCT
ejpam-5956	103	32	.	.	PUNCT
ejpam-5956	104	1	we	we	PRON
ejpam-5956	104	2	will	will	AUX
ejpam-5956	104	3	check	check	VERB
ejpam-5956	104	4	for	for	ADP
ejpam-5956	104	5	the	the	DET
ejpam-5956	104	6	definitions	definition	NOUN
ejpam-5956	104	7	of	of	ADP
ejpam-5956	104	8	operations	operation	NOUN
ejpam-5956	104	9	k	k	NOUN
ejpam-5956	104	10	#	#	NOUN
ejpam-5956	104	11	q	q	NOUN
ejpam-5956	104	12	and	and	CCONJ
ejpam-5956	104	13	k	k	PROPN
ejpam-5956	104	14	∗	∗	PROPN
ejpam-5956	104	15	q.	q.	NOUN
ejpam-5956	104	16	0	0	PUNCT
ejpam-5956	104	17	≤	≤	PROPN
ejpam-5956	104	18	ωk(ξ).ω	ωk(ξ).ω	VERB
ejpam-5956	104	19	q(ξ	q(ξ	ADJ
ejpam-5956	104	20	)	)	PUNCT
ejpam-5956	105	1	+	+	CCONJ
ejpam-5956	106	1	[	[	X
ejpam-5956	106	2	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	106	3	)	)	PUNCT
ejpam-5956	106	4	∨ϖ	∨ϖ	VERB
ejpam-5956	106	5	q(ξ	q(ξ	PROPN
ejpam-5956	106	6	)	)	PUNCT
ejpam-5956	106	7	]	]	PUNCT
ejpam-5956	107	1	+	+	PUNCT
ejpam-5956	107	2	σk(ξ).σ	σk(ξ).σ	NOUN
ejpam-5956	107	3	q(ξ	q(ξ	ADJ
ejpam-5956	107	4	)	)	PUNCT
ejpam-5956	107	5	≤	≤	PUNCT
ejpam-5956	108	1	[	[	X
ejpam-5956	108	2	ωk(ξ	ωk(ξ	NUM
ejpam-5956	108	3	)	)	PUNCT
ejpam-5956	108	4	∧	∧	PROPN
ejpam-5956	108	5	ω	ω	PROPN
ejpam-5956	108	6	q(ξ	q(ξ	PROPN
ejpam-5956	108	7	)	)	PUNCT
ejpam-5956	108	8	]	]	PUNCT
ejpam-5956	109	1	+	+	CCONJ
ejpam-5956	109	2	[	[	X
ejpam-5956	109	3	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	109	4	)	)	PUNCT
ejpam-5956	109	5	∨ϖ	∨ϖ	INTJ
ejpam-5956	109	6	q	q	X
ejpam-5956	109	7	]	]	PUNCT
ejpam-5956	110	1	+	+	CCONJ
ejpam-5956	110	2	[	[	X
ejpam-5956	110	3	σk(ξ	σk(ξ	X
ejpam-5956	110	4	)	)	PUNCT
ejpam-5956	110	5	∧	∧	PROPN
ejpam-5956	110	6	σ	σ	PROPN
ejpam-5956	110	7	q(ξ	q(ξ	PROPN
ejpam-5956	110	8	)	)	PUNCT
ejpam-5956	110	9	]	]	PUNCT
ejpam-5956	111	1	≤	≤	X
ejpam-5956	112	1	[	[	X
ejpam-5956	112	2	ωk(ξ	ωk(ξ	NUM
ejpam-5956	112	3	)	)	PUNCT
ejpam-5956	112	4	∧	∧	PROPN
ejpam-5956	112	5	ω	ω	PROPN
ejpam-5956	112	6	q(ξ	q(ξ	PROPN
ejpam-5956	112	7	)	)	PUNCT
ejpam-5956	112	8	]	]	PUNCT
ejpam-5956	113	1	+	+	CCONJ
ejpam-5956	114	1	[	[	X
ejpam-5956	114	2	(	(	PUNCT
ejpam-5956	114	3	1−	1−	NUM
ejpam-5956	114	4	ωk(ξ)−	ωk(ξ)−	PROPN
ejpam-5956	114	5	σk(ξ	σk(ξ	NUM
ejpam-5956	114	6	)	)	PUNCT
ejpam-5956	114	7	)	)	PUNCT
ejpam-5956	114	8	∨	∨	NUM
ejpam-5956	114	9	(	(	PUNCT
ejpam-5956	114	10	1−	1−	NUM
ejpam-5956	114	11	ω	ω	NUM
ejpam-5956	114	12	q(ξ)−	q(ξ)−	PROPN
ejpam-5956	114	13	σ	σ	PROPN
ejpam-5956	114	14	q(ξ	q(ξ	PROPN
ejpam-5956	114	15	)	)	PUNCT
ejpam-5956	114	16	)	)	PUNCT
ejpam-5956	114	17	]	]	PUNCT
ejpam-5956	115	1	+	+	CCONJ
ejpam-5956	115	2	[	[	X
ejpam-5956	115	3	σk(ξ	σk(ξ	X
ejpam-5956	115	4	)	)	PUNCT
ejpam-5956	115	5	∧	∧	PROPN
ejpam-5956	115	6	σ	σ	PROPN
ejpam-5956	115	7	q(ξ	q(ξ	PROPN
ejpam-5956	115	8	)	)	PUNCT
ejpam-5956	115	9	]	]	PUNCT
ejpam-5956	116	1	≤	≤	X
ejpam-5956	117	1	[	[	X
ejpam-5956	117	2	ωk(ξ	ωk(ξ	NUM
ejpam-5956	117	3	)	)	PUNCT
ejpam-5956	117	4	∧	∧	PROPN
ejpam-5956	117	5	ω	ω	PROPN
ejpam-5956	117	6	q(ξ	q(ξ	PROPN
ejpam-5956	117	7	)	)	PUNCT
ejpam-5956	117	8	]	]	PUNCT
ejpam-5956	118	1	+	+	CCONJ
ejpam-5956	118	2	1−	1−	NUM
ejpam-5956	119	1	[	[	X
ejpam-5956	119	2	ωk(ξ	ωk(ξ	NUM
ejpam-5956	119	3	)	)	PUNCT
ejpam-5956	119	4	∧	∧	PROPN
ejpam-5956	119	5	ω	ω	NUM
ejpam-5956	119	6	q(ξ)]−	q(ξ)]−	NOUN
ejpam-5956	119	7	[	[	X
ejpam-5956	119	8	σk(ξ	σk(ξ	X
ejpam-5956	119	9	)	)	PUNCT
ejpam-5956	119	10	∧	∧	PROPN
ejpam-5956	119	11	σ	σ	PROPN
ejpam-5956	119	12	q(ξ	q(ξ	PROPN
ejpam-5956	119	13	)	)	PUNCT
ejpam-5956	119	14	]	]	PUNCT
ejpam-5956	120	1	+	+	CCONJ
ejpam-5956	120	2	[	[	X
ejpam-5956	120	3	σk(ξ	σk(ξ	X
ejpam-5956	120	4	)	)	PUNCT
ejpam-5956	120	5	∧	∧	PROPN
ejpam-5956	120	6	σ	σ	PROPN
ejpam-5956	120	7	q(ξ	q(ξ	PROPN
ejpam-5956	120	8	)	)	PUNCT
ejpam-5956	120	9	]	]	PUNCT
ejpam-5956	121	1	=	=	PUNCT
ejpam-5956	121	2	1	1	X
ejpam-5956	121	3	.	.	PUNCT
ejpam-5956	121	4	also	also	ADV
ejpam-5956	121	5	,	,	PUNCT
ejpam-5956	121	6	it	it	PRON
ejpam-5956	121	7	is	be	AUX
ejpam-5956	121	8	clear	clear	ADJ
ejpam-5956	121	9	that	that	SCONJ
ejpam-5956	121	10	0	0	NUM
ejpam-5956	121	11	≤	≤	NOUN
ejpam-5956	121	12	(	(	PUNCT
ejpam-5956	121	13	ωk(ξ	ωk(ξ	NUM
ejpam-5956	121	14	)	)	PUNCT
ejpam-5956	121	15	∨	∨	NUM
ejpam-5956	121	16	ω	ω	NUM
ejpam-5956	121	17	q(ξ	q(ξ	PROPN
ejpam-5956	121	18	)	)	PUNCT
ejpam-5956	121	19	)	)	PUNCT
ejpam-5956	122	1	+	+	ADP
ejpam-5956	122	2	ϖk(ξ).ϖ	ϖk(ξ).ϖ	NOUN
ejpam-5956	122	3	q	q	X
ejpam-5956	122	4	+	+	CCONJ
ejpam-5956	122	5	σk(ξ).σ	σk(ξ).σ	NOUN
ejpam-5956	122	6	q(ξ	q(ξ	ADJ
ejpam-5956	122	7	)	)	PUNCT
ejpam-5956	122	8	≤	≤	NUM
ejpam-5956	122	9	1	1	NUM
ejpam-5956	122	10	.	.	PUNCT
ejpam-5956	123	1	now	now	ADV
ejpam-5956	123	2	,	,	PUNCT
ejpam-5956	123	3	we	we	PRON
ejpam-5956	123	4	check	check	VERB
ejpam-5956	123	5	the	the	DET
ejpam-5956	123	6	duality	duality	NOUN
ejpam-5956	123	7	of	of	ADP
ejpam-5956	123	8	the	the	DET
ejpam-5956	123	9	operations	operation	NOUN
ejpam-5956	123	10	#	#	NOUN
ejpam-5956	123	11	and	and	CCONJ
ejpam-5956	123	12	∗	∗	NOUN
ejpam-5956	123	13	:	:	PUNCT
ejpam-5956	123	14	for	for	ADP
ejpam-5956	123	15	k	k	PROPN
ejpam-5956	123	16	,	,	PUNCT
ejpam-5956	123	17	q	q	PROPN
ejpam-5956	123	18	∈	∈	PROPN
ejpam-5956	123	19	p	p	X
ejpam-5956	123	20	(	(	PUNCT
ejpam-5956	123	21	♯	♯	PROPN
ejpam-5956	123	22	)	)	PUNCT
ejpam-5956	123	23	,	,	PUNCT
ejpam-5956	123	24	ⅎ	ⅎ	PROPN
ejpam-5956	123	25	(	(	PUNCT
ejpam-5956	123	26	ⅎk#ⅎ	ⅎk#ⅎ	NOUN
ejpam-5956	123	27	q	q	X
ejpam-5956	123	28	)	)	PUNCT
ejpam-5956	123	29	=	=	SYM
ejpam-5956	123	30	ⅎ	ⅎ	X
ejpam-5956	123	31	(	(	PUNCT
ejpam-5956	123	32	{	{	PUNCT
ejpam-5956	123	33	⟨ξ,ϖk(ξ	⟨ξ,ϖk(ξ	NOUN
ejpam-5956	123	34	)	)	PUNCT
ejpam-5956	123	35	,	,	PUNCT
ejpam-5956	123	36	ωk(ξ	ωk(ξ	NUM
ejpam-5956	123	37	)	)	PUNCT
ejpam-5956	123	38	,	,	PUNCT
ejpam-5956	123	39	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	123	40	|ξ	|ξ	VERB
ejpam-5956	123	41	∈	∈	NOUN
ejpam-5956	123	42	ξ	ξ	NOUN
ejpam-5956	123	43	}	}	PUNCT
ejpam-5956	123	44	#	#	NOUN
ejpam-5956	123	45	{	{	PUNCT
ejpam-5956	123	46	⟨ξ,ϖ	⟨ξ,ϖ	VERB
ejpam-5956	123	47	q(ξ	q(ξ	PROPN
ejpam-5956	123	48	)	)	PUNCT
ejpam-5956	123	49	,	,	PUNCT
ejpam-5956	123	50	ω	ω	PROPN
ejpam-5956	123	51	q(ξ	q(ξ	PROPN
ejpam-5956	123	52	)	)	PUNCT
ejpam-5956	123	53	,	,	PUNCT
ejpam-5956	123	54	σ	σ	PROPN
ejpam-5956	123	55	q(ξ)⟩	q(ξ)⟩	PROPN
ejpam-5956	123	56	|ξ	|ξ	VERB
ejpam-5956	123	57	∈	∈	NOUN
ejpam-5956	123	58	ξ	ξ	NOUN
ejpam-5956	123	59	}	}	PUNCT
ejpam-5956	123	60	)	)	PUNCT
ejpam-5956	123	61	=	=	SYM
ejpam-5956	123	62	ⅎ	ⅎ	X
ejpam-5956	123	63	(	(	PUNCT
ejpam-5956	123	64	{	{	PUNCT
ejpam-5956	123	65	⟨ξ,ϖk(ξ).ϖ	⟨ξ,ϖk(ξ).ϖ	NOUN
ejpam-5956	123	66	q(ξ	q(ξ	PROPN
ejpam-5956	123	67	)	)	PUNCT
ejpam-5956	123	68	,	,	PUNCT
ejpam-5956	123	69	[	[	X
ejpam-5956	123	70	ωk(ξ	ωk(ξ	NUM
ejpam-5956	123	71	)	)	PUNCT
ejpam-5956	123	72	∨	∨	NUM
ejpam-5956	123	73	ω	ω	NUM
ejpam-5956	123	74	q(ξ	q(ξ	PROPN
ejpam-5956	123	75	)	)	PUNCT
ejpam-5956	123	76	]	]	PUNCT
ejpam-5956	123	77	,	,	PUNCT
ejpam-5956	123	78	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	123	79	q⟩	q⟩	NUM
ejpam-5956	123	80	|ξ	|ξ	AUX
ejpam-5956	123	81	∈	∈	NOUN
ejpam-5956	123	82	ξ	ξ	NOUN
ejpam-5956	123	83	}	}	PUNCT
ejpam-5956	123	84	)	)	PUNCT
ejpam-5956	123	85	=	=	SYM
ejpam-5956	123	86	{	{	PUNCT
ejpam-5956	123	87	⟨ξ	⟨ξ	NOUN
ejpam-5956	123	88	,	,	PUNCT
ejpam-5956	123	89	[	[	X
ejpam-5956	123	90	ωk(ξ	ωk(ξ	NUM
ejpam-5956	123	91	)	)	PUNCT
ejpam-5956	123	92	∨	∨	NUM
ejpam-5956	123	93	ω	ω	NUM
ejpam-5956	123	94	q(ξ	q(ξ	PROPN
ejpam-5956	123	95	)	)	PUNCT
ejpam-5956	123	96	]	]	PUNCT
ejpam-5956	123	97	,	,	PUNCT
ejpam-5956	123	98	ϖk(ξ).ϖ	ϖk(ξ).ϖ	PROPN
ejpam-5956	123	99	q	q	X
ejpam-5956	123	100	,	,	PUNCT
ejpam-5956	123	101	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	123	102	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	123	103	|ξ	|ξ	AUX
ejpam-5956	123	104	∈	∈	NOUN
ejpam-5956	123	105	ξ	ξ	NOUN
ejpam-5956	123	106	}	}	PUNCT
ejpam-5956	123	107	=	=	SYM
ejpam-5956	123	108	k	k	PROPN
ejpam-5956	123	109	∗	∗	PROPN
ejpam-5956	123	110	q	q	PROPN
ejpam-5956	123	111	,	,	PUNCT
ejpam-5956	123	112	and	and	CCONJ
ejpam-5956	123	113	in	in	ADP
ejpam-5956	123	114	the	the	DET
ejpam-5956	123	115	same	same	ADJ
ejpam-5956	123	116	manner	manner	NOUN
ejpam-5956	123	117	,	,	PUNCT
ejpam-5956	123	118	ⅎ	ⅎ	X
ejpam-5956	123	119	(	(	PUNCT
ejpam-5956	123	120	ⅎk	ⅎk	ADP
ejpam-5956	123	121	∗	∗	NOUN
ejpam-5956	123	122	ⅎ	ⅎ	PROPN
ejpam-5956	123	123	q	q	NOUN
ejpam-5956	123	124	)	)	PUNCT
ejpam-5956	123	125	=	=	SYM
ejpam-5956	123	126	k	k	NOUN
ejpam-5956	123	127	#	#	NOUN
ejpam-5956	123	128	q.	q.	PROPN
ejpam-5956	123	129	dali	dali	PROPN
ejpam-5956	123	130	shi	shi	PROPN
ejpam-5956	123	131	et	et	PROPN
ejpam-5956	123	132	al	al	PROPN
ejpam-5956	123	133	.	.	PUNCT
ejpam-5956	123	134	/	/	SYM
ejpam-5956	123	135	eur	eur	PROPN
ejpam-5956	123	136	.	.	PUNCT
ejpam-5956	124	1	j.	j.	PROPN
ejpam-5956	124	2	pure	pure	PROPN
ejpam-5956	124	3	appl	appl	PROPN
ejpam-5956	124	4	.	.	PROPN
ejpam-5956	124	5	math	math	PROPN
ejpam-5956	124	6	,	,	PUNCT
ejpam-5956	124	7	18	18	NUM
ejpam-5956	124	8	(	(	PUNCT
ejpam-5956	124	9	2	2	NUM
ejpam-5956	124	10	)	)	PUNCT
ejpam-5956	124	11	(	(	PUNCT
ejpam-5956	124	12	2025	2025	NUM
ejpam-5956	124	13	)	)	PUNCT
ejpam-5956	124	14	,	,	PUNCT
ejpam-5956	124	15	5956	5956	NUM
ejpam-5956	124	16	5	5	NUM
ejpam-5956	124	17	of	of	ADP
ejpam-5956	124	18	30	30	NUM
ejpam-5956	124	19	the	the	DET
ejpam-5956	124	20	operators	operator	NOUN
ejpam-5956	124	21	“	"	PUNCT
ejpam-5956	124	22	closure	closure	NOUN
ejpam-5956	124	23	”	"	PUNCT
ejpam-5956	124	24	and	and	CCONJ
ejpam-5956	124	25	“	"	PUNCT
ejpam-5956	124	26	interior	interior	NOUN
ejpam-5956	124	27	”	"	PUNCT
ejpam-5956	124	28	over	over	ADP
ejpam-5956	124	29	pfss	pfss	NOUN
ejpam-5956	124	30	are	be	AUX
ejpam-5956	124	31	defined	define	VERB
ejpam-5956	124	32	by	by	ADP
ejpam-5956	124	33	:	:	PUNCT
ejpam-5956	124	34	cl∩	cl∩	PROPN
ejpam-5956	124	35	(	(	PUNCT
ejpam-5956	124	36	k	k	NOUN
ejpam-5956	124	37	)	)	PUNCT
ejpam-5956	124	38	=	=	SYM
ejpam-5956	124	39	{	{	PUNCT
ejpam-5956	124	40	⟨ξ	⟨ξ	NOUN
ejpam-5956	124	41	,	,	PUNCT
ejpam-5956	124	42	ϵk	ϵk	INTJ
ejpam-5956	124	43	,	,	PUNCT
ejpam-5956	124	44	ℵk	ℵk	PRON
ejpam-5956	124	45	,	,	PUNCT
ejpam-5956	124	46	κk⟩	κk⟩	ADV
ejpam-5956	124	47	|ξ	|ξ	VERB
ejpam-5956	124	48	∈	∈	PROPN
ejpam-5956	124	49	ξ	ξ	NOUN
ejpam-5956	124	50	}	}	PUNCT
ejpam-5956	124	51	and	and	CCONJ
ejpam-5956	124	52	int∪	int∪	PROPN
ejpam-5956	124	53	(	(	PUNCT
ejpam-5956	124	54	k	k	NOUN
ejpam-5956	124	55	)	)	PUNCT
ejpam-5956	124	56	=	=	SYM
ejpam-5956	124	57	{	{	PUNCT
ejpam-5956	124	58	⟨ξ	⟨ξ	NOUN
ejpam-5956	124	59	,	,	PUNCT
ejpam-5956	124	60	εk	εk	NOUN
ejpam-5956	124	61	,	,	PUNCT
ejpam-5956	124	62	ϑk	ϑk	PROPN
ejpam-5956	124	63	,	,	PUNCT
ejpam-5956	124	64	κk⟩	κk⟩	ADV
ejpam-5956	124	65	|ξ	|ξ	VERB
ejpam-5956	124	66	∈	∈	PROPN
ejpam-5956	124	67	ξ	ξ	NOUN
ejpam-5956	124	68	}	}	PUNCT
ejpam-5956	124	69	where	where	SCONJ
ejpam-5956	124	70	ϵk	ϵk	NOUN
ejpam-5956	124	71	=	=	SYM
ejpam-5956	124	72	∨	∨	NOUN
ejpam-5956	124	73	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	124	74	ωk(ξ	ωk(ξ	NUM
ejpam-5956	124	75	)	)	PUNCT
ejpam-5956	124	76	,	,	PUNCT
ejpam-5956	124	77	ℵk	ℵk	PRON
ejpam-5956	124	78	=	=	SYM
ejpam-5956	124	79	∧	∧	PROPN
ejpam-5956	124	80	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	124	81	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	124	82	)	)	PUNCT
ejpam-5956	124	83	,	,	PUNCT
ejpam-5956	124	84	κk	κk	ADP
ejpam-5956	124	85	=	=	SYM
ejpam-5956	124	86	∧	∧	PROPN
ejpam-5956	124	87	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	124	88	σk(ξ	σk(ξ	NUM
ejpam-5956	124	89	)	)	PUNCT
ejpam-5956	124	90	εk	εk	NOUN
ejpam-5956	124	91	=	=	SYM
ejpam-5956	124	92	∧	∧	PROPN
ejpam-5956	124	93	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	124	94	ωk(ξ	ωk(ξ	NUM
ejpam-5956	124	95	)	)	PUNCT
ejpam-5956	124	96	,	,	PUNCT
ejpam-5956	124	97	ϑk	ϑk	PROPN
ejpam-5956	124	98	=	=	SYM
ejpam-5956	124	99	∨	∨	NOUN
ejpam-5956	124	100	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	124	101	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	124	102	)	)	PUNCT
ejpam-5956	124	103	,	,	PUNCT
ejpam-5956	124	104	κk	κk	NOUN
ejpam-5956	124	105	=	=	SYM
ejpam-5956	124	106	∨	∨	NOUN
ejpam-5956	124	107	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	124	108	σk(ξ	σk(ξ	NUM
ejpam-5956	124	109	)	)	PUNCT
ejpam-5956	124	110	.	.	PUNCT
ejpam-5956	125	1	theorem	theorem	VERB
ejpam-5956	125	2	2.1	2.1	NUM
ejpam-5956	125	3	.	.	PUNCT
ejpam-5956	126	1	for	for	ADP
ejpam-5956	126	2	every	every	DET
ejpam-5956	126	3	k	k	NOUN
ejpam-5956	126	4	,	,	PUNCT
ejpam-5956	126	5	q	q	PROPN
ejpam-5956	126	6	∈	∈	PROPN
ejpam-5956	126	7	p(♯	p(♯	NOUN
ejpam-5956	126	8	)	)	PUNCT
ejpam-5956	126	9	,	,	PUNCT
ejpam-5956	127	1	k	k	PROPN
ejpam-5956	127	2	⊓	⊓	PROPN
ejpam-5956	127	3	q	q	PROPN
ejpam-5956	128	1	⊆	⊆	NUM
ejpam-5956	128	2	k	k	NOUN
ejpam-5956	128	3	#	#	NOUN
ejpam-5956	128	4	q	q	NOUN
ejpam-5956	128	5	⊆	⊆	NUM
ejpam-5956	128	6	k	k	X
ejpam-5956	128	7	∩	∩	PROPN
ejpam-5956	128	8	q	q	NOUN
ejpam-5956	128	9	⊆	⊆	NUM
ejpam-5956	128	10	k@	k@	NOUN
ejpam-5956	128	11	q	q	NOUN
ejpam-5956	128	12	⊆	⊆	NUM
ejpam-5956	128	13	k	k	NOUN
ejpam-5956	128	14	∪	∪	X
ejpam-5956	128	15	q	q	PROPN
ejpam-5956	128	16	⊆	⊆	NUM
ejpam-5956	128	17	k	k	PROPN
ejpam-5956	128	18	∗	∗	PRON
ejpam-5956	128	19	q	q	NOUN
ejpam-5956	128	20	⊆	⊆	NUM
ejpam-5956	128	21	k	k	X
ejpam-5956	128	22	⊔	⊔	PROPN
ejpam-5956	128	23	q.	q.	PROPN
ejpam-5956	128	24	proof	proof	NOUN
ejpam-5956	128	25	.	.	PUNCT
ejpam-5956	129	1	k	k	X
ejpam-5956	130	1	⊓	⊓	PROPN
ejpam-5956	130	2	q	q	NOUN
ejpam-5956	130	3	=	=	NOUN
ejpam-5956	130	4	{	{	PUNCT
ejpam-5956	130	5	〈	〈	PROPN
ejpam-5956	130	6	ξ	ξ	PROPN
ejpam-5956	130	7	,	,	PUNCT
ejpam-5956	130	8	ωk(ξ).ω	ωk(ξ).ω	PROPN
ejpam-5956	130	9	q(ξ	q(ξ	ADJ
ejpam-5956	130	10	)	)	PUNCT
ejpam-5956	130	11	,	,	PUNCT
ejpam-5956	130	12	ϖk(ξ	ϖk(ξ	PUNCT
ejpam-5956	130	13	)	)	PUNCT
ejpam-5956	131	1	+	+	NOUN
ejpam-5956	131	2	ϖ	ϖ	X
ejpam-5956	131	3	q(ξ)−	q(ξ)−	PROPN
ejpam-5956	131	4	(	(	PUNCT
ejpam-5956	131	5	ϖk(ξ).ϖ	ϖk(ξ).ϖ	PROPN
ejpam-5956	131	6	q(ξ	q(ξ	ADJ
ejpam-5956	131	7	)	)	PUNCT
ejpam-5956	131	8	∧	∧	PROPN
ejpam-5956	131	9	σk(ξ).σ	σk(ξ).σ	PROPN
ejpam-5956	131	10	q(ξ	q(ξ	PROPN
ejpam-5956	131	11	)	)	PUNCT
ejpam-5956	131	12	)	)	PUNCT
ejpam-5956	131	13	,	,	PUNCT
ejpam-5956	131	14	σk(ξ).σ	σk(ξ).σ	PROPN
ejpam-5956	131	15	q(ξ	q(ξ	ADV
ejpam-5956	131	16	)	)	PUNCT
ejpam-5956	131	17	〉	〉	NOUN
ejpam-5956	131	18	|ξ	|ξ	VERB
ejpam-5956	131	19	∈	∈	NOUN
ejpam-5956	131	20	ξ	ξ	PROPN
ejpam-5956	131	21	}	}	PUNCT
ejpam-5956	131	22	⊆	⊆	NUM
ejpam-5956	131	23	{	{	PUNCT
ejpam-5956	131	24	⟨ξ	⟨ξ	NOUN
ejpam-5956	131	25	,	,	PUNCT
ejpam-5956	131	26	ωk(ξ).ω	ωk(ξ).ω	PROPN
ejpam-5956	131	27	q(ξ	q(ξ	ADJ
ejpam-5956	131	28	)	)	PUNCT
ejpam-5956	131	29	,	,	PUNCT
ejpam-5956	131	30	(	(	PUNCT
ejpam-5956	131	31	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	131	32	)	)	PUNCT
ejpam-5956	131	33	∨ϖ	∨ϖ	VERB
ejpam-5956	131	34	q(ξ	q(ξ	PROPN
ejpam-5956	131	35	)	)	PUNCT
ejpam-5956	131	36	)	)	PUNCT
ejpam-5956	131	37	,	,	PUNCT
ejpam-5956	131	38	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	131	39	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	131	40	|ξ	|ξ	AUX
ejpam-5956	131	41	∈	∈	PROPN
ejpam-5956	131	42	ξ}=	ξ}=	NOUN
ejpam-5956	131	43	k	k	NOUN
ejpam-5956	131	44	#	#	NOUN
ejpam-5956	131	45	q	q	NOUN
ejpam-5956	131	46	,	,	PUNCT
ejpam-5956	131	47	k	k	NOUN
ejpam-5956	131	48	#	#	NOUN
ejpam-5956	131	49	q	q	NOUN
ejpam-5956	131	50	=	=	PUNCT
ejpam-5956	131	51	{	{	PUNCT
ejpam-5956	131	52	⟨ξ	⟨ξ	NOUN
ejpam-5956	131	53	,	,	PUNCT
ejpam-5956	131	54	ωk(ξ).ω	ωk(ξ).ω	PROPN
ejpam-5956	131	55	q(ξ	q(ξ	ADJ
ejpam-5956	131	56	)	)	PUNCT
ejpam-5956	131	57	,	,	PUNCT
ejpam-5956	131	58	(	(	PUNCT
ejpam-5956	131	59	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	131	60	)	)	PUNCT
ejpam-5956	131	61	∨ϖ	∨ϖ	VERB
ejpam-5956	131	62	q(ξ	q(ξ	PROPN
ejpam-5956	131	63	)	)	PUNCT
ejpam-5956	131	64	)	)	PUNCT
ejpam-5956	131	65	,	,	PUNCT
ejpam-5956	131	66	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	131	67	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	131	68	|ξ	|ξ	VERB
ejpam-5956	131	69	∈	∈	NOUN
ejpam-5956	131	70	ξ	ξ	NOUN
ejpam-5956	131	71	}	}	PUNCT
ejpam-5956	131	72	⊆	⊆	NUM
ejpam-5956	131	73	{	{	PUNCT
ejpam-5956	131	74	⟨ξ	⟨ξ	NOUN
ejpam-5956	131	75	,	,	PUNCT
ejpam-5956	131	76	(	(	PUNCT
ejpam-5956	131	77	ωk(ξ	ωk(ξ	ADV
ejpam-5956	131	78	)	)	PUNCT
ejpam-5956	131	79	∧	∧	PROPN
ejpam-5956	131	80	ω	ω	PROPN
ejpam-5956	131	81	q(ξ	q(ξ	PROPN
ejpam-5956	131	82	)	)	PUNCT
ejpam-5956	131	83	)	)	PUNCT
ejpam-5956	131	84	,	,	PUNCT
ejpam-5956	131	85	(	(	PUNCT
ejpam-5956	131	86	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	131	87	)	)	PUNCT
ejpam-5956	131	88	∨ϖ	∨ϖ	VERB
ejpam-5956	131	89	q(ξ	q(ξ	PROPN
ejpam-5956	131	90	)	)	PUNCT
ejpam-5956	131	91	)	)	PUNCT
ejpam-5956	131	92	,	,	PUNCT
ejpam-5956	131	93	(	(	PUNCT
ejpam-5956	131	94	σk(ξ	σk(ξ	X
ejpam-5956	131	95	)	)	PUNCT
ejpam-5956	131	96	∧	∧	PROPN
ejpam-5956	131	97	σ	σ	PROPN
ejpam-5956	131	98	q(ξ	q(ξ	PROPN
ejpam-5956	131	99	)	)	PUNCT
ejpam-5956	131	100	)	)	PUNCT
ejpam-5956	131	101	|ξ	|ξ	VERB
ejpam-5956	131	102	∈	∈	PROPN
ejpam-5956	131	103	ξ}⟩	ξ}⟩	PROPN
ejpam-5956	131	104	=	=	SYM
ejpam-5956	131	105	k	k	PROPN
ejpam-5956	131	106	∩	∩	PROPN
ejpam-5956	131	107	q	q	X
ejpam-5956	131	108	,	,	PUNCT
ejpam-5956	131	109	k	k	X
ejpam-5956	131	110	∩	∩	ADJ
ejpam-5956	131	111	q	q	X
ejpam-5956	131	112	=	=	SYM
ejpam-5956	131	113	{	{	PUNCT
ejpam-5956	131	114	⟨ξ	⟨ξ	NOUN
ejpam-5956	131	115	,	,	PUNCT
ejpam-5956	131	116	(	(	PUNCT
ejpam-5956	131	117	ωk(ξ	ωk(ξ	ADV
ejpam-5956	131	118	)	)	PUNCT
ejpam-5956	131	119	∧	∧	PROPN
ejpam-5956	131	120	ω	ω	PROPN
ejpam-5956	131	121	q(ξ	q(ξ	PROPN
ejpam-5956	131	122	)	)	PUNCT
ejpam-5956	131	123	)	)	PUNCT
ejpam-5956	131	124	,	,	PUNCT
ejpam-5956	131	125	(	(	PUNCT
ejpam-5956	131	126	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	131	127	)	)	PUNCT
ejpam-5956	131	128	∨ϖ	∨ϖ	VERB
ejpam-5956	131	129	q(ξ	q(ξ	PROPN
ejpam-5956	131	130	)	)	PUNCT
ejpam-5956	131	131	)	)	PUNCT
ejpam-5956	131	132	,	,	PUNCT
ejpam-5956	131	133	(	(	PUNCT
ejpam-5956	131	134	σk(ξ	σk(ξ	X
ejpam-5956	131	135	)	)	PUNCT
ejpam-5956	131	136	∧	∧	PROPN
ejpam-5956	131	137	σ	σ	NOUN
ejpam-5956	131	138	q	q	PROPN
ejpam-5956	131	139	(	(	PUNCT
ejpam-5956	131	140	ξ	ξ	NOUN
ejpam-5956	131	141	)	)	PUNCT
ejpam-5956	131	142	)	)	PUNCT
ejpam-5956	131	143	|ξ	|ξ	VERB
ejpam-5956	131	144	∈	∈	PROPN
ejpam-5956	131	145	ξ}⟩	ξ}⟩	PROPN
ejpam-5956	131	146	⊆	⊆	NUM
ejpam-5956	131	147	{	{	PUNCT
ejpam-5956	131	148	〈	〈	PROPN
ejpam-5956	131	149	ξ	ξ	PROPN
ejpam-5956	131	150	,	,	PUNCT
ejpam-5956	131	151	ωk	ωk	ADP
ejpam-5956	131	152	(	(	PUNCT
ejpam-5956	131	153	ξ)+ω	ξ)+ω	PROPN
ejpam-5956	131	154	q	q	PROPN
ejpam-5956	131	155	(	(	PUNCT
ejpam-5956	131	156	ξ	ξ	NOUN
ejpam-5956	131	157	)	)	PUNCT
ejpam-5956	131	158	2	2	NUM
ejpam-5956	131	159	,	,	PUNCT
ejpam-5956	131	160	ϖk	ϖk	INTJ
ejpam-5956	131	161	(	(	PUNCT
ejpam-5956	131	162	ξ)+ϖ	ξ)+ϖ	INTJ
ejpam-5956	131	163	q	q	X
ejpam-5956	131	164	(	(	PUNCT
ejpam-5956	131	165	ξ	ξ	NOUN
ejpam-5956	131	166	)	)	PUNCT
ejpam-5956	131	167	2	2	NUM
ejpam-5956	131	168	,	,	PUNCT
ejpam-5956	131	169	σk	σk	X
ejpam-5956	131	170	(	(	PUNCT
ejpam-5956	131	171	ξ)+σ	ξ)+σ	PROPN
ejpam-5956	131	172	q	q	X
ejpam-5956	131	173	(	(	PUNCT
ejpam-5956	131	174	ξ	ξ	NOUN
ejpam-5956	131	175	)	)	PUNCT
ejpam-5956	131	176	2	2	NUM
ejpam-5956	131	177	〉	〉	NOUN
ejpam-5956	131	178	|ξ	|ξ	VERB
ejpam-5956	131	179	∈	∈	NOUN
ejpam-5956	131	180	ξ	ξ	NOUN
ejpam-5956	131	181	}	}	PUNCT
ejpam-5956	131	182	=	=	SYM
ejpam-5956	131	183	k@	k@	NOUN
ejpam-5956	131	184	q	q	NOUN
ejpam-5956	131	185	,	,	PUNCT
ejpam-5956	131	186	k@	k@	NOUN
ejpam-5956	131	187	q	q	NOUN
ejpam-5956	131	188	=	=	PUNCT
ejpam-5956	131	189	{	{	PUNCT
ejpam-5956	131	190	〈	〈	PROPN
ejpam-5956	131	191	ξ	ξ	PROPN
ejpam-5956	131	192	,	,	PUNCT
ejpam-5956	131	193	ωk	ωk	ADP
ejpam-5956	131	194	(	(	PUNCT
ejpam-5956	131	195	ξ)+ω	ξ)+ω	PROPN
ejpam-5956	131	196	q	q	PROPN
ejpam-5956	131	197	(	(	PUNCT
ejpam-5956	131	198	ξ	ξ	NOUN
ejpam-5956	131	199	)	)	PUNCT
ejpam-5956	131	200	2	2	NUM
ejpam-5956	131	201	,	,	PUNCT
ejpam-5956	131	202	ϖk	ϖk	INTJ
ejpam-5956	131	203	(	(	PUNCT
ejpam-5956	131	204	ξ)+ϖ	ξ)+ϖ	INTJ
ejpam-5956	131	205	q	q	X
ejpam-5956	131	206	(	(	PUNCT
ejpam-5956	131	207	ξ	ξ	NOUN
ejpam-5956	131	208	)	)	PUNCT
ejpam-5956	131	209	2	2	NUM
ejpam-5956	131	210	,	,	PUNCT
ejpam-5956	131	211	σk	σk	X
ejpam-5956	131	212	(	(	PUNCT
ejpam-5956	131	213	ξ)+σ	ξ)+σ	PROPN
ejpam-5956	131	214	q	q	X
ejpam-5956	131	215	(	(	PUNCT
ejpam-5956	131	216	ξ	ξ	NOUN
ejpam-5956	131	217	)	)	PUNCT
ejpam-5956	131	218	2	2	NUM
ejpam-5956	131	219	〉	〉	NOUN
ejpam-5956	131	220	|ξ	|ξ	VERB
ejpam-5956	131	221	∈	∈	NOUN
ejpam-5956	131	222	ξ	ξ	PROPN
ejpam-5956	131	223	}	}	PUNCT
ejpam-5956	131	224	⊆	⊆	NUM
ejpam-5956	131	225	{	{	PUNCT
ejpam-5956	131	226	⟨ξ	⟨ξ	NOUN
ejpam-5956	131	227	,	,	PUNCT
ejpam-5956	131	228	(	(	PUNCT
ejpam-5956	131	229	ωk(ξ	ωk(ξ	NUM
ejpam-5956	131	230	)	)	PUNCT
ejpam-5956	131	231	∨	∨	NUM
ejpam-5956	131	232	ω	ω	NUM
ejpam-5956	131	233	q(ξ	q(ξ	PROPN
ejpam-5956	131	234	)	)	PUNCT
ejpam-5956	131	235	)	)	PUNCT
ejpam-5956	131	236	,	,	PUNCT
ejpam-5956	131	237	(	(	PUNCT
ejpam-5956	131	238	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	131	239	)	)	PUNCT
ejpam-5956	131	240	∧ϖ	∧ϖ	NOUN
ejpam-5956	131	241	q(ξ	q(ξ	ADV
ejpam-5956	131	242	)	)	PUNCT
ejpam-5956	131	243	)	)	PUNCT
ejpam-5956	131	244	,	,	PUNCT
ejpam-5956	131	245	(	(	PUNCT
ejpam-5956	131	246	σk(ξ	σk(ξ	X
ejpam-5956	131	247	)	)	PUNCT
ejpam-5956	131	248	∧	∧	PROPN
ejpam-5956	131	249	σ	σ	PROPN
ejpam-5956	131	250	q(ξ))⟩	q(ξ))⟩	PROPN
ejpam-5956	131	251	|ξ	|ξ	VERB
ejpam-5956	131	252	∈	∈	PROPN
ejpam-5956	131	253	ξ}=	ξ}=	PROPN
ejpam-5956	131	254	k	k	PROPN
ejpam-5956	131	255	∪	∪	PROPN
ejpam-5956	131	256	q	q	NOUN
ejpam-5956	131	257	,	,	PUNCT
ejpam-5956	131	258	k	k	X
ejpam-5956	131	259	∪	∪	NOUN
ejpam-5956	131	260	q	q	PROPN
ejpam-5956	131	261	=	=	PUNCT
ejpam-5956	131	262	{	{	PUNCT
ejpam-5956	131	263	⟨ξ	⟨ξ	NOUN
ejpam-5956	131	264	,	,	PUNCT
ejpam-5956	131	265	(	(	PUNCT
ejpam-5956	131	266	ωk(ξ	ωk(ξ	NUM
ejpam-5956	131	267	)	)	PUNCT
ejpam-5956	131	268	∨	∨	NUM
ejpam-5956	131	269	ω	ω	NUM
ejpam-5956	131	270	q(ξ	q(ξ	PROPN
ejpam-5956	131	271	)	)	PUNCT
ejpam-5956	131	272	)	)	PUNCT
ejpam-5956	131	273	,	,	PUNCT
ejpam-5956	131	274	(	(	PUNCT
ejpam-5956	131	275	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	131	276	)	)	PUNCT
ejpam-5956	131	277	∧ϖ	∧ϖ	NOUN
ejpam-5956	131	278	q(ξ	q(ξ	ADV
ejpam-5956	131	279	)	)	PUNCT
ejpam-5956	131	280	)	)	PUNCT
ejpam-5956	131	281	,	,	PUNCT
ejpam-5956	131	282	(	(	PUNCT
ejpam-5956	131	283	σk(ξ	σk(ξ	X
ejpam-5956	131	284	)	)	PUNCT
ejpam-5956	131	285	∧	∧	PROPN
ejpam-5956	131	286	σ	σ	NOUN
ejpam-5956	131	287	q	q	PROPN
ejpam-5956	131	288	(	(	PUNCT
ejpam-5956	131	289	ξ))⟩	ξ))⟩	NOUN
ejpam-5956	131	290	|ξ	|ξ	VERB
ejpam-5956	131	291	∈	∈	PROPN
ejpam-5956	131	292	ξ	ξ	NOUN
ejpam-5956	131	293	}	}	PUNCT
ejpam-5956	131	294	⊆	⊆	NUM
ejpam-5956	131	295	{	{	PUNCT
ejpam-5956	131	296	⟨ξ	⟨ξ	NOUN
ejpam-5956	131	297	,	,	PUNCT
ejpam-5956	131	298	(	(	PUNCT
ejpam-5956	131	299	ωk(ξ	ωk(ξ	NUM
ejpam-5956	131	300	)	)	PUNCT
ejpam-5956	131	301	∨	∨	NUM
ejpam-5956	131	302	ω	ω	NUM
ejpam-5956	131	303	q(ξ	q(ξ	PROPN
ejpam-5956	131	304	)	)	PUNCT
ejpam-5956	131	305	)	)	PUNCT
ejpam-5956	131	306	,	,	PUNCT
ejpam-5956	131	307	ϖk(ξ).ϖ	ϖk(ξ).ϖ	PROPN
ejpam-5956	131	308	q(ξ	q(ξ	PROPN
ejpam-5956	131	309	)	)	PUNCT
ejpam-5956	131	310	,	,	PUNCT
ejpam-5956	131	311	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	131	312	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	131	313	|ξ	|ξ	AUX
ejpam-5956	131	314	∈	∈	PROPN
ejpam-5956	131	315	ξ}=	ξ}=	PROPN
ejpam-5956	131	316	k	k	PROPN
ejpam-5956	131	317	∗	∗	PROPN
ejpam-5956	131	318	q	q	PROPN
ejpam-5956	131	319	,	,	PUNCT
ejpam-5956	131	320	k	k	X
ejpam-5956	131	321	∗	∗	NOUN
ejpam-5956	131	322	q	q	NOUN
ejpam-5956	131	323	=	=	PUNCT
ejpam-5956	131	324	{	{	PUNCT
ejpam-5956	131	325	⟨ξ	⟨ξ	NOUN
ejpam-5956	131	326	,	,	PUNCT
ejpam-5956	131	327	(	(	PUNCT
ejpam-5956	131	328	ωk(ξ	ωk(ξ	NUM
ejpam-5956	131	329	)	)	PUNCT
ejpam-5956	131	330	∨	∨	NUM
ejpam-5956	131	331	ω	ω	NUM
ejpam-5956	131	332	q(ξ	q(ξ	PROPN
ejpam-5956	131	333	)	)	PUNCT
ejpam-5956	131	334	)	)	PUNCT
ejpam-5956	131	335	,	,	PUNCT
ejpam-5956	131	336	ϖk(ξ).ϖ	ϖk(ξ).ϖ	PROPN
ejpam-5956	131	337	q(ξ	q(ξ	PROPN
ejpam-5956	131	338	)	)	PUNCT
ejpam-5956	131	339	,	,	PUNCT
ejpam-5956	131	340	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	131	341	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	131	342	|ξ	|ξ	VERB
ejpam-5956	131	343	∈	∈	NOUN
ejpam-5956	131	344	ξ	ξ	NOUN
ejpam-5956	131	345	}	}	PUNCT
ejpam-5956	131	346	⊆	⊆	NUM
ejpam-5956	131	347	{	{	PUNCT
ejpam-5956	131	348	〈	〈	PROPN
ejpam-5956	131	349	ξ	ξ	PROPN
ejpam-5956	131	350	,	,	PUNCT
ejpam-5956	131	351	ωk(ξ	ωk(ξ	NUM
ejpam-5956	131	352	)	)	PUNCT
ejpam-5956	132	1	+	+	CCONJ
ejpam-5956	132	2	ω	ω	NUM
ejpam-5956	132	3	q(ξ)−	q(ξ)−	PROPN
ejpam-5956	132	4	(	(	PUNCT
ejpam-5956	132	5	ωk(ξ).ω	ωk(ξ).ω	PROPN
ejpam-5956	132	6	q(ξ	q(ξ	ADJ
ejpam-5956	132	7	)	)	PUNCT
ejpam-5956	132	8	∧	∧	PROPN
ejpam-5956	132	9	σk(ξ).σ	σk(ξ).σ	PROPN
ejpam-5956	132	10	q(ξ	q(ξ	PROPN
ejpam-5956	132	11	)	)	PUNCT
ejpam-5956	132	12	)	)	PUNCT
ejpam-5956	132	13	,	,	PUNCT
ejpam-5956	132	14	ϖk(ξ).ϖ	ϖk(ξ).ϖ	PROPN
ejpam-5956	132	15	q(ξ	q(ξ	PROPN
ejpam-5956	132	16	)	)	PUNCT
ejpam-5956	132	17	,	,	PUNCT
ejpam-5956	132	18	σk(ξ).σ	σk(ξ).σ	PROPN
ejpam-5956	132	19	q(ξ	q(ξ	ADV
ejpam-5956	132	20	)	)	PUNCT
ejpam-5956	132	21	〉	〉	NOUN
ejpam-5956	132	22	|ξ	|ξ	VERB
ejpam-5956	132	23	∈	∈	NOUN
ejpam-5956	132	24	ξ	ξ	NOUN
ejpam-5956	132	25	}	}	PUNCT
ejpam-5956	132	26	=	=	SYM
ejpam-5956	132	27	k	k	X
ejpam-5956	132	28	⊔	⊔	PROPN
ejpam-5956	132	29	q.	q.	PROPN
ejpam-5956	132	30	now	now	ADV
ejpam-5956	132	31	,	,	PUNCT
ejpam-5956	132	32	we	we	PRON
ejpam-5956	132	33	will	will	AUX
ejpam-5956	132	34	construct	construct	VERB
ejpam-5956	132	35	the	the	DET
ejpam-5956	132	36	picture	picture	NOUN
ejpam-5956	132	37	fuzzy	fuzzy	ADJ
ejpam-5956	132	38	implication	implication	NOUN
ejpam-5956	132	39	operation	operation	NOUN
ejpam-5956	132	40	on	on	ADP
ejpam-5956	132	41	p(♯	p(♯	NOUN
ejpam-5956	132	42	)	)	PUNCT
ejpam-5956	132	43	as	as	SCONJ
ejpam-5956	132	44	follows	follow	VERB
ejpam-5956	132	45	:	:	PUNCT
ejpam-5956	132	46	k	k	PROPN
ejpam-5956	132	47	↠	↠	PRON
ejpam-5956	132	48	q	q	X
ejpam-5956	133	1	=	=	PUNCT
ejpam-5956	133	2	{	{	PUNCT
ejpam-5956	133	3	⟨ξ	⟨ξ	NOUN
ejpam-5956	133	4	,	,	PUNCT
ejpam-5956	133	5	(	(	PUNCT
ejpam-5956	133	6	ϖk(ξ	ϖk(ξ	ADJ
ejpam-5956	133	7	)	)	PUNCT
ejpam-5956	133	8	∨	∨	NUM
ejpam-5956	133	9	ω	ω	NUM
ejpam-5956	133	10	q(ξ	q(ξ	PROPN
ejpam-5956	133	11	)	)	PUNCT
ejpam-5956	133	12	)	)	PUNCT
ejpam-5956	133	13	,	,	PUNCT
ejpam-5956	133	14	ωk(ξ).ϖ	ωk(ξ).ϖ	PROPN
ejpam-5956	133	15	q(ξ	q(ξ	PROPN
ejpam-5956	133	16	)	)	PUNCT
ejpam-5956	133	17	,	,	PUNCT
ejpam-5956	133	18	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	133	19	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	133	20	|ξ	|ξ	AUX
ejpam-5956	133	21	∈	∈	NOUN
ejpam-5956	133	22	ξ	ξ	NOUN
ejpam-5956	133	23	}	}	PUNCT
ejpam-5956	133	24	.	.	PUNCT
ejpam-5956	134	1	we	we	PRON
ejpam-5956	134	2	checked	check	VERB
ejpam-5956	134	3	these	these	DET
ejpam-5956	134	4	properties	property	NOUN
ejpam-5956	134	5	for	for	ADP
ejpam-5956	134	6	the	the	DET
ejpam-5956	134	7	implication	implication	NOUN
ejpam-5956	134	8	operation	operation	NOUN
ejpam-5956	134	9	:	:	PUNCT
ejpam-5956	134	10	♯	♯	PROPN
ejpam-5956	134	11	↠	↠	PRON
ejpam-5956	134	12	♯	♯	PROPN
ejpam-5956	134	13	=	=	SYM
ejpam-5956	134	14	♯	♯	PROPN
ejpam-5956	134	15	,	,	PUNCT
ejpam-5956	134	16	♭	♭	PROPN
ejpam-5956	134	17	↠	↠	NUM
ejpam-5956	134	18	♯	♯	PROPN
ejpam-5956	134	19	=	=	SYM
ejpam-5956	134	20	♯	♯	PROPN
ejpam-5956	134	21	,	,	PUNCT
ejpam-5956	134	22	♮	♮	PROPN
ejpam-5956	134	23	↠	↠	PROPN
ejpam-5956	134	24	♯	♯	PROPN
ejpam-5956	134	25	=	=	SYM
ejpam-5956	134	26	♯	♯	PROPN
ejpam-5956	134	27	,	,	PUNCT
ejpam-5956	134	28	0	0	NUM
ejpam-5956	134	29	↠	↠	PRON
ejpam-5956	134	30	♯	♯	PROPN
ejpam-5956	134	31	=	=	SYM
ejpam-5956	134	32	♯	♯	PROPN
ejpam-5956	134	33	,	,	PUNCT
ejpam-5956	134	34	♯	♯	PROPN
ejpam-5956	134	35	↠	↠	PROPN
ejpam-5956	135	1	♭	♭	INTJ
ejpam-5956	135	2	=	=	SYM
ejpam-5956	135	3	♭	♭	PROPN
ejpam-5956	135	4	,	,	PUNCT
ejpam-5956	135	5	♭	♭	PROPN
ejpam-5956	135	6	↠	↠	INTJ
ejpam-5956	136	1	♭	♭	PROPN
ejpam-5956	136	2	=	=	SYM
ejpam-5956	136	3	♯	♯	PROPN
ejpam-5956	136	4	,	,	PUNCT
ejpam-5956	136	5	♮	♮	NOUN
ejpam-5956	136	6	↠	↠	PROPN
ejpam-5956	136	7	♭	♭	INTJ
ejpam-5956	137	1	=	=	SYM
ejpam-5956	137	2	0	0	NUM
ejpam-5956	137	3	,	,	PUNCT
ejpam-5956	137	4	0	0	NUM
ejpam-5956	138	1	↠	↠	NUM
ejpam-5956	138	2	♭	♭	INTJ
ejpam-5956	139	1	=	=	SYM
ejpam-5956	139	2	0	0	PROPN
ejpam-5956	139	3	,	,	PUNCT
ejpam-5956	139	4	♯	♯	PROPN
ejpam-5956	139	5	↠	↠	X
ejpam-5956	139	6	♮	♮	NOUN
ejpam-5956	139	7	=	=	SYM
ejpam-5956	139	8	0	0	PROPN
ejpam-5956	139	9	,	,	PUNCT
ejpam-5956	139	10	♭	♭	PROPN
ejpam-5956	140	1	↠	↠	NUM
ejpam-5956	140	2	♮	♮	NOUN
ejpam-5956	140	3	=	=	SYM
ejpam-5956	140	4	♯	♯	PROPN
ejpam-5956	140	5	,	,	PUNCT
ejpam-5956	140	6	♮	♮	NOUN
ejpam-5956	140	7	↠	↠	NOUN
ejpam-5956	140	8	♮	♮	NOUN
ejpam-5956	140	9	=	=	PUNCT
ejpam-5956	140	10	♮	♮	NOUN
ejpam-5956	140	11	,	,	PUNCT
ejpam-5956	140	12	0	0	NUM
ejpam-5956	141	1	↠	↠	NUM
ejpam-5956	141	2	♮	♮	NOUN
ejpam-5956	141	3	=	=	SYM
ejpam-5956	141	4	0	0	NUM
ejpam-5956	141	5	,	,	PUNCT
ejpam-5956	141	6	♯	♯	PROPN
ejpam-5956	141	7	↠	↠	X
ejpam-5956	141	8	0	0	NUM
ejpam-5956	142	1	=	=	SYM
ejpam-5956	142	2	0	0	PROPN
ejpam-5956	142	3	,	,	PUNCT
ejpam-5956	142	4	♭	♭	PROPN
ejpam-5956	143	1	↠	↠	PRON
ejpam-5956	143	2	0	0	NUM
ejpam-5956	144	1	=	=	SYM
ejpam-5956	144	2	♯	♯	PROPN
ejpam-5956	144	3	,	,	PUNCT
ejpam-5956	144	4	♮	♮	NOUN
ejpam-5956	144	5	↠	↠	NOUN
ejpam-5956	144	6	0	0	NUM
ejpam-5956	145	1	=	=	SYM
ejpam-5956	145	2	0	0	NUM
ejpam-5956	145	3	,	,	PUNCT
ejpam-5956	145	4	0	0	NUM
ejpam-5956	146	1	↠	↠	NOUN
ejpam-5956	146	2	0	0	NUM
ejpam-5956	147	1	=	=	SYM
ejpam-5956	147	2	0	0	X
ejpam-5956	147	3	.	.	PUNCT
ejpam-5956	148	1	following	follow	VERB
ejpam-5956	148	2	atanassov	atanassov	NOUN
ejpam-5956	148	3	in	in	ADP
ejpam-5956	148	4	[	[	X
ejpam-5956	148	5	31	31	NUM
ejpam-5956	148	6	]	]	PUNCT
ejpam-5956	148	7	,	,	PUNCT
ejpam-5956	148	8	we	we	PRON
ejpam-5956	148	9	will	will	AUX
ejpam-5956	148	10	give	give	VERB
ejpam-5956	148	11	these	these	DET
ejpam-5956	148	12	nine	nine	NUM
ejpam-5956	148	13	axioms	axiom	NOUN
ejpam-5956	148	14	related	relate	VERB
ejpam-5956	148	15	with	with	ADP
ejpam-5956	148	16	our	our	PRON
ejpam-5956	148	17	new	new	ADJ
ejpam-5956	148	18	defined	define	VERB
ejpam-5956	148	19	implication	implication	NOUN
ejpam-5956	148	20	operation	operation	NOUN
ejpam-5956	148	21	.	.	PUNCT
ejpam-5956	149	1	let	let	VERB
ejpam-5956	149	2	ξ	ξ	X
ejpam-5956	149	3	be	be	AUX
ejpam-5956	149	4	a	a	DET
ejpam-5956	149	5	nonempty	nonempty	ADV
ejpam-5956	149	6	set	set	VERB
ejpam-5956	149	7	and	and	CCONJ
ejpam-5956	149	8	k	k	NOUN
ejpam-5956	149	9	,	,	PUNCT
ejpam-5956	149	10	q	q	X
ejpam-5956	149	11	,	,	PUNCT
ejpam-5956	149	12	d	d	PROPN
ejpam-5956	149	13	∈	∈	PROPN
ejpam-5956	149	14	p	p	X
ejpam-5956	149	15	(	(	PUNCT
ejpam-5956	149	16	♯	♯	PROPN
ejpam-5956	149	17	)	)	PUNCT
ejpam-5956	149	18	.	.	PUNCT
ejpam-5956	150	1	then	then	ADV
ejpam-5956	150	2	,	,	PUNCT
ejpam-5956	150	3	axiom	axiom	NOUN
ejpam-5956	150	4	1	1	NUM
ejpam-5956	150	5	:	:	PUNCT
ejpam-5956	150	6	if	if	SCONJ
ejpam-5956	150	7	k	k	PROPN
ejpam-5956	150	8	⊆	⊆	NUM
ejpam-5956	150	9	q	q	NOUN
ejpam-5956	150	10	,	,	PUNCT
ejpam-5956	150	11	then	then	ADV
ejpam-5956	150	12	q	q	PROPN
ejpam-5956	150	13	↠	↠	PROPN
ejpam-5956	151	1	d	d	NOUN
ejpam-5956	151	2	⊆	⊆	NUM
ejpam-5956	151	3	k	k	X
ejpam-5956	151	4	↠	↠	PROPN
ejpam-5956	151	5	d.	d.	PROPN
ejpam-5956	151	6	axiom	axiom	NOUN
ejpam-5956	151	7	2	2	NUM
ejpam-5956	151	8	:	:	PUNCT
ejpam-5956	151	9	if	if	SCONJ
ejpam-5956	151	10	k	k	PROPN
ejpam-5956	151	11	⊆	⊆	NUM
ejpam-5956	151	12	q	q	NOUN
ejpam-5956	151	13	,	,	PUNCT
ejpam-5956	151	14	then	then	ADV
ejpam-5956	151	15	d	d	PROPN
ejpam-5956	151	16	↠	↠	PROPN
ejpam-5956	152	1	k	k	NOUN
ejpam-5956	152	2	⊆	⊆	NUM
ejpam-5956	152	3	d	d	SYM
ejpam-5956	152	4	↠	↠	PROPN
ejpam-5956	152	5	q.	q.	PROPN
ejpam-5956	152	6	dali	dali	PROPN
ejpam-5956	152	7	shi	shi	PROPN
ejpam-5956	152	8	et	et	PROPN
ejpam-5956	152	9	al	al	PROPN
ejpam-5956	152	10	.	.	PUNCT
ejpam-5956	152	11	/	/	SYM
ejpam-5956	152	12	eur	eur	PROPN
ejpam-5956	152	13	.	.	PUNCT
ejpam-5956	153	1	j.	j.	PROPN
ejpam-5956	153	2	pure	pure	PROPN
ejpam-5956	153	3	appl	appl	PROPN
ejpam-5956	153	4	.	.	PROPN
ejpam-5956	153	5	math	math	PROPN
ejpam-5956	153	6	,	,	PUNCT
ejpam-5956	153	7	18	18	NUM
ejpam-5956	153	8	(	(	PUNCT
ejpam-5956	153	9	2	2	NUM
ejpam-5956	153	10	)	)	PUNCT
ejpam-5956	153	11	(	(	PUNCT
ejpam-5956	153	12	2025	2025	NUM
ejpam-5956	153	13	)	)	PUNCT
ejpam-5956	153	14	,	,	PUNCT
ejpam-5956	153	15	5956	5956	NUM
ejpam-5956	153	16	6	6	NUM
ejpam-5956	153	17	of	of	ADP
ejpam-5956	153	18	30	30	NUM
ejpam-5956	153	19	axiom	axiom	NOUN
ejpam-5956	153	20	3	3	NUM
ejpam-5956	153	21	:	:	PUNCT
ejpam-5956	153	22	♭	♭	PROPN
ejpam-5956	153	23	↠	↠	X
ejpam-5956	153	24	q	q	NOUN
ejpam-5956	154	1	=	=	PUNCT
ejpam-5956	154	2	♯.	♯.	PROPN
ejpam-5956	154	3	axiom	axiom	NOUN
ejpam-5956	154	4	4	4	NUM
ejpam-5956	154	5	:	:	PUNCT
ejpam-5956	154	6	♯	♯	PROPN
ejpam-5956	154	7	↠	↠	NOUN
ejpam-5956	154	8	q	q	NOUN
ejpam-5956	155	1	=	=	PUNCT
ejpam-5956	155	2	q.	q.	NOUN
ejpam-5956	155	3	axiom	axiom	NOUN
ejpam-5956	155	4	5	5	NUM
ejpam-5956	155	5	:	:	PUNCT
ejpam-5956	155	6	k	k	PROPN
ejpam-5956	155	7	↠	↠	X
ejpam-5956	156	1	k	k	NOUN
ejpam-5956	156	2	=	=	PUNCT
ejpam-5956	156	3	♯.	♯.	PROPN
ejpam-5956	156	4	axiom	axiom	NOUN
ejpam-5956	156	5	6	6	NUM
ejpam-5956	156	6	:	:	PUNCT
ejpam-5956	156	7	k	k	PROPN
ejpam-5956	156	8	↠	↠	PROPN
ejpam-5956	156	9	(	(	PUNCT
ejpam-5956	156	10	q	q	PROPN
ejpam-5956	156	11	↠	↠	PROPN
ejpam-5956	156	12	d	d	NOUN
ejpam-5956	156	13	)	)	PUNCT
ejpam-5956	157	1	=	=	SYM
ejpam-5956	157	2	q	q	PROPN
ejpam-5956	158	1	↠	↠	INTJ
ejpam-5956	158	2	(	(	PUNCT
ejpam-5956	158	3	k	k	PROPN
ejpam-5956	158	4	↠	↠	PROPN
ejpam-5956	158	5	d	d	NOUN
ejpam-5956	158	6	)	)	PUNCT
ejpam-5956	158	7	.	.	PUNCT
ejpam-5956	159	1	axiom	axiom	NOUN
ejpam-5956	159	2	7	7	NUM
ejpam-5956	159	3	:	:	PUNCT
ejpam-5956	159	4	k	k	PROPN
ejpam-5956	160	1	↠	↠	PRON
ejpam-5956	160	2	q	q	NOUN
ejpam-5956	161	1	=	=	PUNCT
ejpam-5956	161	2	♯	♯	PROPN
ejpam-5956	161	3	iff	iff	PROPN
ejpam-5956	161	4	k	k	PROPN
ejpam-5956	161	5	⊆	⊆	NUM
ejpam-5956	161	6	q.	q.	NOUN
ejpam-5956	161	7	axiom	axiom	NOUN
ejpam-5956	161	8	8	8	NUM
ejpam-5956	161	9	:	:	PUNCT
ejpam-5956	161	10	k	k	PROPN
ejpam-5956	162	1	↠	↠	PRON
ejpam-5956	162	2	q	q	NOUN
ejpam-5956	163	1	=	=	PUNCT
ejpam-5956	163	2	ⅎ	ⅎ	X
ejpam-5956	163	3	q	q	X
ejpam-5956	163	4	↠	↠	PRON
ejpam-5956	163	5	ⅎk	ⅎk	PROPN
ejpam-5956	163	6	.	.	PUNCT
ejpam-5956	163	7	axiom	axiom	NOUN
ejpam-5956	163	8	9	9	NUM
ejpam-5956	163	9	:	:	PUNCT
ejpam-5956	163	10	↠	↠	PRON
ejpam-5956	163	11	is	be	AUX
ejpam-5956	163	12	a	a	DET
ejpam-5956	163	13	continuous	continuous	ADJ
ejpam-5956	163	14	function	function	NOUN
ejpam-5956	163	15	.	.	PUNCT
ejpam-5956	164	1	we	we	PRON
ejpam-5956	164	2	followed	follow	VERB
ejpam-5956	164	3	[	[	X
ejpam-5956	164	4	31	31	NUM
ejpam-5956	164	5	]	]	PUNCT
ejpam-5956	164	6	in	in	ADP
ejpam-5956	164	7	defining	define	VERB
ejpam-5956	164	8	a	a	DET
ejpam-5956	164	9	number	number	NOUN
ejpam-5956	164	10	of	of	ADP
ejpam-5956	164	11	axioms	axiom	NOUN
ejpam-5956	164	12	marked	mark	VERB
ejpam-5956	164	13	with	with	ADP
ejpam-5956	164	14	an	an	DET
ejpam-5956	164	15	asterisk	asterisk	NOUN
ejpam-5956	164	16	(	(	PUNCT
ejpam-5956	164	17	∗	∗	NOUN
ejpam-5956	164	18	)	)	PUNCT
ejpam-5956	164	19	refering	refer	VERB
ejpam-5956	164	20	to	to	ADP
ejpam-5956	164	21	the	the	DET
ejpam-5956	164	22	tautological	tautological	ADJ
ejpam-5956	164	23	operations	operation	NOUN
ejpam-5956	164	24	,	,	PUNCT
ejpam-5956	164	25	and	and	CCONJ
ejpam-5956	164	26	(	(	PUNCT
ejpam-5956	164	27	axiom7∗	axiom7∗	NOUN
ejpam-5956	164	28	)	)	PUNCT
ejpam-5956	164	29	is	be	AUX
ejpam-5956	164	30	given	give	VERB
ejpam-5956	164	31	to	to	PART
ejpam-5956	164	32	show	show	VERB
ejpam-5956	164	33	that	that	SCONJ
ejpam-5956	164	34	"	"	PUNCT
ejpam-5956	164	35	iff	iff	NOUN
ejpam-5956	164	36	"	"	PUNCT
ejpam-5956	164	37	in	in	ADP
ejpam-5956	164	38	axiom7	axiom7	NOUN
ejpam-5956	164	39	maybe	maybe	ADV
ejpam-5956	164	40	not	not	PART
ejpam-5956	164	41	correct	correct	ADJ
ejpam-5956	164	42	.	.	PUNCT
ejpam-5956	165	1	axiom	axiom	NOUN
ejpam-5956	165	2	3	3	NUM
ejpam-5956	165	3	*	*	NUM
ejpam-5956	165	4	:	:	PUNCT
ejpam-5956	166	1	♭	♭	PROPN
ejpam-5956	166	2	↠	↠	X
ejpam-5956	166	3	q	q	NOUN
ejpam-5956	166	4	is	be	AUX
ejpam-5956	166	5	a	a	DET
ejpam-5956	166	6	pftaut	pftaut	NOUN
ejpam-5956	166	7	set	set	NOUN
ejpam-5956	166	8	.	.	PUNCT
ejpam-5956	167	1	axiom	axiom	NOUN
ejpam-5956	167	2	4	4	NUM
ejpam-5956	167	3	*	*	NUM
ejpam-5956	167	4	:	:	PUNCT
ejpam-5956	167	5	♯	♯	PROPN
ejpam-5956	167	6	↠	↠	PROPN
ejpam-5956	167	7	q	q	NOUN
ejpam-5956	167	8	is	be	AUX
ejpam-5956	167	9	a	a	DET
ejpam-5956	167	10	pftaut	pftaut	NOUN
ejpam-5956	167	11	set	set	NOUN
ejpam-5956	167	12	.	.	PUNCT
ejpam-5956	168	1	axiom	axiom	NOUN
ejpam-5956	168	2	5	5	NUM
ejpam-5956	168	3	*	*	PUNCT
ejpam-5956	168	4	:	:	PUNCT
ejpam-5956	169	1	k	k	PROPN
ejpam-5956	170	1	↠	↠	X
ejpam-5956	170	2	k	k	PROPN
ejpam-5956	170	3	is	be	AUX
ejpam-5956	170	4	a	a	DET
ejpam-5956	170	5	pftaut	pftaut	NOUN
ejpam-5956	170	6	set	set	NOUN
ejpam-5956	170	7	.	.	PUNCT
ejpam-5956	171	1	axiom	axiom	NOUN
ejpam-5956	171	2	7	7	NUM
ejpam-5956	171	3	*	*	NUM
ejpam-5956	171	4	:	:	PUNCT
ejpam-5956	171	5	k	k	PROPN
ejpam-5956	172	1	↠	↠	PRON
ejpam-5956	172	2	q	q	NOUN
ejpam-5956	172	3	=	=	PUNCT
ejpam-5956	172	4	♯	♯	PROPN
ejpam-5956	172	5	implies	imply	VERB
ejpam-5956	172	6	that	that	SCONJ
ejpam-5956	172	7	k	k	PROPN
ejpam-5956	172	8	⊆	⊆	NUM
ejpam-5956	172	9	q	q	NOUN
ejpam-5956	172	10	,	,	PUNCT
ejpam-5956	172	11	and	and	CCONJ
ejpam-5956	172	12	k	k	PROPN
ejpam-5956	172	13	⊆	⊆	NUM
ejpam-5956	172	14	q	q	NOUN
ejpam-5956	172	15	implies	imply	VERB
ejpam-5956	172	16	that	that	SCONJ
ejpam-5956	173	1	k	k	PROPN
ejpam-5956	173	2	↠	↠	X
ejpam-5956	173	3	q	q	PROPN
ejpam-5956	173	4	is	be	AUX
ejpam-5956	173	5	a	a	DET
ejpam-5956	173	6	pftaut	pftaut	NOUN
ejpam-5956	173	7	set	set	NOUN
ejpam-5956	173	8	.	.	PUNCT
ejpam-5956	174	1	theorem	theorem	VERB
ejpam-5956	174	2	2.2	2.2	NUM
ejpam-5956	174	3	.	.	PUNCT
ejpam-5956	175	1	for	for	ADP
ejpam-5956	175	2	k	k	PROPN
ejpam-5956	175	3	,	,	PUNCT
ejpam-5956	175	4	q	q	X
ejpam-5956	175	5	,	,	PUNCT
ejpam-5956	175	6	d	d	PROPN
ejpam-5956	175	7	∈	∈	PROPN
ejpam-5956	175	8	p(♯	p(♯	NOUN
ejpam-5956	175	9	)	)	PUNCT
ejpam-5956	175	10	the	the	DET
ejpam-5956	175	11	new	new	ADJ
ejpam-5956	175	12	implication	implication	NOUN
ejpam-5956	175	13	(	(	PUNCT
ejpam-5956	175	14	↠	↠	NOUN
ejpam-5956	175	15	)	)	PUNCT
ejpam-5956	175	16	satisfies	satisfie	NOUN
ejpam-5956	175	17	axioms	axiom	VERB
ejpam-5956	175	18	1	1	NUM
ejpam-5956	175	19	,	,	PUNCT
ejpam-5956	175	20	2	2	NUM
ejpam-5956	175	21	,	,	PUNCT
ejpam-5956	175	22	3	3	NUM
ejpam-5956	175	23	,	,	PUNCT
ejpam-5956	175	24	3	3	NUM
ejpam-5956	175	25	*	*	NOUN
ejpam-5956	175	26	,	,	PUNCT
ejpam-5956	175	27	5	5	NUM
ejpam-5956	175	28	*	*	NUM
ejpam-5956	175	29	,	,	PUNCT
ejpam-5956	175	30	6	6	NUM
ejpam-5956	175	31	,	,	PUNCT
ejpam-5956	175	32	7	7	NUM
ejpam-5956	175	33	*	*	NOUN
ejpam-5956	175	34	,	,	PUNCT
ejpam-5956	175	35	8	8	NUM
ejpam-5956	175	36	,	,	PUNCT
ejpam-5956	175	37	9	9	NUM
ejpam-5956	175	38	.	.	PUNCT
ejpam-5956	176	1	proof	proof	NOUN
ejpam-5956	176	2	.	.	PUNCT
ejpam-5956	177	1	(	(	PUNCT
ejpam-5956	177	2	for	for	ADP
ejpam-5956	177	3	axiom1	axiom1	PROPN
ejpam-5956	177	4	)	)	PUNCT
ejpam-5956	177	5	,	,	PUNCT
ejpam-5956	177	6	let	let	VERB
ejpam-5956	177	7	k	k	PROPN
ejpam-5956	177	8	⊆	⊆	NUM
ejpam-5956	177	9	q.	q.	NOUN
ejpam-5956	177	10	then	then	ADV
ejpam-5956	177	11	,	,	PUNCT
ejpam-5956	177	12	k	k	PROPN
ejpam-5956	178	1	↠	↠	PROPN
ejpam-5956	179	1	d	d	NOUN
ejpam-5956	179	2	=	=	SYM
ejpam-5956	179	3	{	{	PUNCT
ejpam-5956	179	4	⟨ξ	⟨ξ	NOUN
ejpam-5956	179	5	,	,	PUNCT
ejpam-5956	179	6	(	(	PUNCT
ejpam-5956	179	7	ϖk(ξ	ϖk(ξ	ADJ
ejpam-5956	179	8	)	)	PUNCT
ejpam-5956	179	9	∨	∨	NUM
ejpam-5956	179	10	ω	ω	NUM
ejpam-5956	179	11	d(ξ	d(ξ	NOUN
ejpam-5956	179	12	)	)	PUNCT
ejpam-5956	179	13	)	)	PUNCT
ejpam-5956	179	14	,	,	PUNCT
ejpam-5956	179	15	ωk(ξ).ϖ	ωk(ξ).ϖ	PROPN
ejpam-5956	179	16	d(ξ	d(ξ	PROPN
ejpam-5956	179	17	)	)	PUNCT
ejpam-5956	179	18	,	,	PUNCT
ejpam-5956	179	19	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	179	20	d(ξ)⟩	d(ξ)⟩	NOUN
ejpam-5956	179	21	|ξ	|ξ	AUX
ejpam-5956	179	22	∈	∈	NOUN
ejpam-5956	179	23	ξ	ξ	NOUN
ejpam-5956	179	24	}	}	PUNCT
ejpam-5956	179	25	,	,	PUNCT
ejpam-5956	179	26	q	q	PROPN
ejpam-5956	180	1	↠	↠	PROPN
ejpam-5956	180	2	d	d	X
ejpam-5956	180	3	=	=	SYM
ejpam-5956	180	4	{	{	PUNCT
ejpam-5956	180	5	⟨ξ	⟨ξ	NOUN
ejpam-5956	180	6	,	,	PUNCT
ejpam-5956	180	7	(	(	PUNCT
ejpam-5956	180	8	ϖ	ϖ	X
ejpam-5956	180	9	q(ξ	q(ξ	ADJ
ejpam-5956	180	10	)	)	PUNCT
ejpam-5956	180	11	∨	∨	PROPN
ejpam-5956	180	12	ω	ω	NUM
ejpam-5956	180	13	d(ξ	d(ξ	NOUN
ejpam-5956	180	14	)	)	PUNCT
ejpam-5956	180	15	)	)	PUNCT
ejpam-5956	180	16	,	,	PUNCT
ejpam-5956	180	17	ω	ω	NUM
ejpam-5956	180	18	q(ξ).ϖ	q(ξ).ϖ	PROPN
ejpam-5956	180	19	d(ξ	d(ξ	PROPN
ejpam-5956	180	20	)	)	PUNCT
ejpam-5956	180	21	,	,	PUNCT
ejpam-5956	180	22	σ	σ	PROPN
ejpam-5956	180	23	q(ξ).σ	q(ξ).σ	ADJ
ejpam-5956	180	24	d(ξ)⟩	d(ξ)⟩	PROPN
ejpam-5956	180	25	|ξ	|ξ	VERB
ejpam-5956	180	26	∈	∈	PROPN
ejpam-5956	180	27	ξ	ξ	NOUN
ejpam-5956	180	28	}	}	PUNCT
ejpam-5956	180	29	,	,	PUNCT
ejpam-5956	180	30	now	now	ADV
ejpam-5956	180	31	(	(	PUNCT
ejpam-5956	180	32	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	180	33	)	)	PUNCT
ejpam-5956	180	34	∨	∨	NUM
ejpam-5956	180	35	ω	ω	NUM
ejpam-5956	180	36	d(ξ	d(ξ	NOUN
ejpam-5956	180	37	)	)	PUNCT
ejpam-5956	180	38	)	)	PUNCT
ejpam-5956	181	1	≥	≥	NOUN
ejpam-5956	181	2	(	(	PUNCT
ejpam-5956	181	3	ϖ	ϖ	X
ejpam-5956	181	4	q(ξ	q(ξ	ADJ
ejpam-5956	181	5	)	)	PUNCT
ejpam-5956	181	6	∨	∨	PROPN
ejpam-5956	181	7	ω	ω	NUM
ejpam-5956	181	8	d(ξ	d(ξ	NOUN
ejpam-5956	181	9	)	)	PUNCT
ejpam-5956	181	10	)	)	PUNCT
ejpam-5956	181	11	,	,	PUNCT
ejpam-5956	181	12	ωk(ξ).ϖ	ωk(ξ).ϖ	PROPN
ejpam-5956	181	13	d(ξ	d(ξ	PROPN
ejpam-5956	181	14	)	)	PUNCT
ejpam-5956	181	15	≤	≤	NOUN
ejpam-5956	182	1	ω	ω	NUM
ejpam-5956	182	2	q(ξ).ϖ	q(ξ).ϖ	PROPN
ejpam-5956	182	3	d(ξ	d(ξ	PROPN
ejpam-5956	182	4	)	)	PUNCT
ejpam-5956	182	5	,	,	PUNCT
ejpam-5956	182	6	and	and	CCONJ
ejpam-5956	182	7	σk(ξ).σ	σk(ξ).σ	PROPN
ejpam-5956	182	8	d(ξ	d(ξ	NOUN
ejpam-5956	182	9	)	)	PUNCT
ejpam-5956	182	10	≥	≥	PROPN
ejpam-5956	182	11	σ	σ	NOUN
ejpam-5956	182	12	q(ξ).σ	q(ξ).σ	ADP
ejpam-5956	182	13	d(ξ	d(ξ	PROPN
ejpam-5956	182	14	)	)	PUNCT
ejpam-5956	182	15	or	or	CCONJ
ejpam-5956	182	16	σk(ξ).σ	σk(ξ).σ	PROPN
ejpam-5956	182	17	d(ξ	d(ξ	NOUN
ejpam-5956	182	18	)	)	PUNCT
ejpam-5956	182	19	≥	≥	PROPN
ejpam-5956	182	20	σ	σ	NOUN
ejpam-5956	182	21	q(ξ).σ	q(ξ).σ	ADP
ejpam-5956	182	22	d(ξ	d(ξ	PROPN
ejpam-5956	182	23	)	)	PUNCT
ejpam-5956	182	24	.	.	PUNCT
ejpam-5956	183	1	therefore	therefore	ADV
ejpam-5956	183	2	,	,	PUNCT
ejpam-5956	183	3	q	q	PROPN
ejpam-5956	184	1	↠	↠	NUM
ejpam-5956	184	2	d	d	NOUN
ejpam-5956	184	3	⊆	⊆	NUM
ejpam-5956	184	4	k	k	X
ejpam-5956	184	5	↠	↠	X
ejpam-5956	184	6	d.	d.	PROPN
ejpam-5956	184	7	(	(	PUNCT
ejpam-5956	184	8	for	for	ADP
ejpam-5956	184	9	axiom2	axiom2	PROPN
ejpam-5956	184	10	)	)	PUNCT
ejpam-5956	184	11	,	,	PUNCT
ejpam-5956	184	12	let	let	VERB
ejpam-5956	184	13	k	k	PROPN
ejpam-5956	184	14	⊆	⊆	NUM
ejpam-5956	184	15	q.	q.	NOUN
ejpam-5956	184	16	then	then	ADV
ejpam-5956	184	17	,	,	PUNCT
ejpam-5956	184	18	d	d	PROPN
ejpam-5956	185	1	↠	↠	X
ejpam-5956	185	2	k	k	NOUN
ejpam-5956	185	3	=	=	SYM
ejpam-5956	185	4	{	{	PUNCT
ejpam-5956	185	5	⟨ξ	⟨ξ	PROPN
ejpam-5956	185	6	,	,	PUNCT
ejpam-5956	185	7	(	(	PUNCT
ejpam-5956	185	8	ϖ	ϖ	X
ejpam-5956	185	9	d(ξ	d(ξ	NOUN
ejpam-5956	185	10	)	)	PUNCT
ejpam-5956	185	11	∨	∨	NUM
ejpam-5956	185	12	ωk(ξ	ωk(ξ	NUM
ejpam-5956	185	13	)	)	PUNCT
ejpam-5956	185	14	)	)	PUNCT
ejpam-5956	185	15	,	,	PUNCT
ejpam-5956	185	16	ω	ω	NUM
ejpam-5956	185	17	d(ξ).ϖk(ξ	d(ξ).ϖk(ξ	NOUN
ejpam-5956	185	18	)	)	PUNCT
ejpam-5956	185	19	,	,	PUNCT
ejpam-5956	185	20	σ	σ	PROPN
ejpam-5956	185	21	d(ξ).σk(ξ)⟩	d(ξ).σk(ξ)⟩	PROPN
ejpam-5956	185	22	|ξ	|ξ	VERB
ejpam-5956	185	23	∈	∈	NOUN
ejpam-5956	185	24	ξ	ξ	NOUN
ejpam-5956	185	25	}	}	PUNCT
ejpam-5956	185	26	,	,	PUNCT
ejpam-5956	185	27	d	d	X
ejpam-5956	185	28	↠	↠	PRON
ejpam-5956	185	29	q	q	NOUN
ejpam-5956	185	30	=	=	PUNCT
ejpam-5956	185	31	{	{	PUNCT
ejpam-5956	185	32	⟨ξ	⟨ξ	NOUN
ejpam-5956	185	33	,	,	PUNCT
ejpam-5956	185	34	(	(	PUNCT
ejpam-5956	185	35	ϖ	ϖ	X
ejpam-5956	185	36	d(ξ	d(ξ	PROPN
ejpam-5956	185	37	)	)	PUNCT
ejpam-5956	185	38	∨	∨	NUM
ejpam-5956	185	39	ω	ω	NUM
ejpam-5956	185	40	q(ξ	q(ξ	PROPN
ejpam-5956	185	41	)	)	PUNCT
ejpam-5956	185	42	)	)	PUNCT
ejpam-5956	185	43	,	,	PUNCT
ejpam-5956	185	44	ω	ω	NUM
ejpam-5956	185	45	d(ξ).ϖ	d(ξ).ϖ	PROPN
ejpam-5956	185	46	q(ξ	q(ξ	PROPN
ejpam-5956	185	47	)	)	PUNCT
ejpam-5956	185	48	,	,	PUNCT
ejpam-5956	185	49	σ	σ	PROPN
ejpam-5956	185	50	d(ξ).σ	d(ξ).σ	PROPN
ejpam-5956	185	51	q(ξ)⟩	q(ξ)⟩	PROPN
ejpam-5956	185	52	|ξ	|ξ	VERB
ejpam-5956	185	53	∈	∈	NOUN
ejpam-5956	185	54	ξ	ξ	NOUN
ejpam-5956	185	55	}	}	PUNCT
ejpam-5956	185	56	.	.	PUNCT
ejpam-5956	186	1	that	that	PRON
ejpam-5956	186	2	is	is	ADV
ejpam-5956	186	3	,	,	PUNCT
ejpam-5956	186	4	it	it	PRON
ejpam-5956	186	5	follows	follow	VERB
ejpam-5956	186	6	(	(	PUNCT
ejpam-5956	186	7	ϖ	ϖ	X
ejpam-5956	186	8	d(ξ	d(ξ	NOUN
ejpam-5956	186	9	)	)	PUNCT
ejpam-5956	186	10	∨	∨	NUM
ejpam-5956	186	11	ωk(ξ	ωk(ξ	NUM
ejpam-5956	186	12	)	)	PUNCT
ejpam-5956	186	13	)	)	PUNCT
ejpam-5956	187	1	≤	≤	NOUN
ejpam-5956	187	2	(	(	PUNCT
ejpam-5956	187	3	ϖ	ϖ	X
ejpam-5956	187	4	d(ξ	d(ξ	PROPN
ejpam-5956	187	5	)	)	PUNCT
ejpam-5956	187	6	∨	∨	NUM
ejpam-5956	187	7	ω	ω	NUM
ejpam-5956	187	8	q(ξ	q(ξ	PROPN
ejpam-5956	187	9	)	)	PUNCT
ejpam-5956	187	10	)	)	PUNCT
ejpam-5956	187	11	,	,	PUNCT
ejpam-5956	187	12	ω	ω	NUM
ejpam-5956	187	13	d(ξ).ϖk(ξ	d(ξ).ϖk(ξ	NOUN
ejpam-5956	187	14	)	)	PUNCT
ejpam-5956	187	15	≥	≥	PROPN
ejpam-5956	187	16	ω	ω	NUM
ejpam-5956	187	17	d(ξ).ϖ	d(ξ).ϖ	PROPN
ejpam-5956	187	18	q(ξ	q(ξ	PROPN
ejpam-5956	187	19	)	)	PUNCT
ejpam-5956	187	20	,	,	PUNCT
ejpam-5956	187	21	and	and	CCONJ
ejpam-5956	187	22	σ	σ	NUM
ejpam-5956	187	23	d(ξ).σk(ξ	d(ξ).σk(ξ	PROPN
ejpam-5956	187	24	)	)	PUNCT
ejpam-5956	187	25	≥	≥	PROPN
ejpam-5956	187	26	σ	σ	NOUN
ejpam-5956	187	27	d(ξ).σ	d(ξ).σ	NOUN
ejpam-5956	187	28	q(ξ	q(ξ	PROPN
ejpam-5956	187	29	)	)	PUNCT
ejpam-5956	187	30	or	or	CCONJ
ejpam-5956	187	31	σ	σ	NUM
ejpam-5956	187	32	d(ξ).σk(ξ	d(ξ).σk(ξ	PROPN
ejpam-5956	187	33	)	)	PUNCT
ejpam-5956	187	34	≤	≤	NOUN
ejpam-5956	187	35	σ	σ	NUM
ejpam-5956	187	36	d(ξ).σ	d(ξ).σ	NOUN
ejpam-5956	187	37	q(ξ	q(ξ	PROPN
ejpam-5956	187	38	)	)	PUNCT
ejpam-5956	187	39	.	.	PUNCT
ejpam-5956	188	1	thus	thus	ADV
ejpam-5956	188	2	,	,	PUNCT
ejpam-5956	188	3	d	d	PROPN
ejpam-5956	188	4	↠	↠	PRON
ejpam-5956	188	5	q	q	PROPN
ejpam-5956	188	6	⊇	⊇	PROPN
ejpam-5956	188	7	d	d	PROPN
ejpam-5956	188	8	↠	↠	PROPN
ejpam-5956	188	9	k.	k.	PROPN
ejpam-5956	188	10	(	(	PUNCT
ejpam-5956	188	11	for	for	ADP
ejpam-5956	188	12	axiom3	axiom3	NOUN
ejpam-5956	188	13	)	)	PUNCT
ejpam-5956	188	14	,	,	PUNCT
ejpam-5956	188	15	♭	♭	PROPN
ejpam-5956	188	16	↠	↠	X
ejpam-5956	188	17	q	q	X
ejpam-5956	188	18	=	=	PUNCT
ejpam-5956	188	19	{	{	PUNCT
ejpam-5956	188	20	⟨ξ	⟨ξ	NOUN
ejpam-5956	188	21	,	,	PUNCT
ejpam-5956	188	22	(	(	PUNCT
ejpam-5956	188	23	1	1	NUM
ejpam-5956	188	24	∨	∨	NUM
ejpam-5956	188	25	ω	ω	NUM
ejpam-5956	188	26	q(ξ	q(ξ	PROPN
ejpam-5956	188	27	)	)	PUNCT
ejpam-5956	188	28	)	)	PUNCT
ejpam-5956	188	29	,	,	PUNCT
ejpam-5956	188	30	0.ϖ	0.ϖ	NUM
ejpam-5956	188	31	q(ξ	q(ξ	ADJ
ejpam-5956	188	32	)	)	PUNCT
ejpam-5956	188	33	,	,	PUNCT
ejpam-5956	188	34	0.σ	0.σ	PROPN
ejpam-5956	188	35	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	188	36	|ξ	|ξ	VERB
ejpam-5956	188	37	∈	∈	NOUN
ejpam-5956	188	38	ξ	ξ	NOUN
ejpam-5956	188	39	}	}	PUNCT
ejpam-5956	188	40	=	=	SYM
ejpam-5956	188	41	{	{	PUNCT
ejpam-5956	188	42	⟨ξ	⟨ξ	NOUN
ejpam-5956	188	43	,	,	PUNCT
ejpam-5956	188	44	1	1	NUM
ejpam-5956	188	45	,	,	PUNCT
ejpam-5956	188	46	0	0	NUM
ejpam-5956	188	47	,	,	PUNCT
ejpam-5956	188	48	0⟩	0⟩	PROPN
ejpam-5956	188	49	|ξ	|ξ	VERB
ejpam-5956	188	50	∈	∈	PROPN
ejpam-5956	188	51	ξ	ξ	NOUN
ejpam-5956	188	52	}	}	PUNCT
ejpam-5956	188	53	=	=	SYM
ejpam-5956	188	54	♯	♯	PROPN
ejpam-5956	188	55	,	,	PUNCT
ejpam-5956	188	56	this	this	PRON
ejpam-5956	188	57	also	also	ADV
ejpam-5956	188	58	meaning	mean	VERB
ejpam-5956	188	59	♭	♭	PROPN
ejpam-5956	188	60	↠	↠	X
ejpam-5956	188	61	q	q	NOUN
ejpam-5956	188	62	is	be	AUX
ejpam-5956	188	63	a	a	DET
ejpam-5956	188	64	pftaut	pftaut	NOUN
ejpam-5956	188	65	set	set	NOUN
ejpam-5956	188	66	,	,	PUNCT
ejpam-5956	188	67	(	(	PUNCT
ejpam-5956	188	68	axiom3∗	axiom3∗	X
ejpam-5956	188	69	)	)	PUNCT
ejpam-5956	188	70	is	be	AUX
ejpam-5956	188	71	satisfied	satisfied	ADJ
ejpam-5956	188	72	.	.	PUNCT
ejpam-5956	189	1	(	(	PUNCT
ejpam-5956	189	2	for	for	ADP
ejpam-5956	189	3	axiom4∗	axiom4∗	PROPN
ejpam-5956	189	4	)	)	PUNCT
ejpam-5956	189	5	,	,	PUNCT
ejpam-5956	189	6	♯	♯	PROPN
ejpam-5956	189	7	↠	↠	PRON
ejpam-5956	189	8	q	q	NOUN
ejpam-5956	190	1	=	=	PUNCT
ejpam-5956	190	2	{	{	PUNCT
ejpam-5956	190	3	⟨ξ	⟨ξ	NOUN
ejpam-5956	190	4	,	,	PUNCT
ejpam-5956	190	5	(	(	PUNCT
ejpam-5956	190	6	0	0	NUM
ejpam-5956	190	7	∨	∨	NUM
ejpam-5956	190	8	ω	ω	NUM
ejpam-5956	190	9	q(ξ	q(ξ	PROPN
ejpam-5956	190	10	)	)	PUNCT
ejpam-5956	190	11	)	)	PUNCT
ejpam-5956	190	12	,	,	PUNCT
ejpam-5956	190	13	1.ϖ	1.ϖ	NUM
ejpam-5956	190	14	q(ξ	q(ξ	ADJ
ejpam-5956	190	15	)	)	PUNCT
ejpam-5956	190	16	,	,	PUNCT
ejpam-5956	190	17	0.σ	0.σ	PROPN
ejpam-5956	190	18	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	190	19	|ξ	|ξ	VERB
ejpam-5956	190	20	∈	∈	NOUN
ejpam-5956	190	21	ξ	ξ	NOUN
ejpam-5956	190	22	}	}	PUNCT
ejpam-5956	190	23	=	=	SYM
ejpam-5956	190	24	{	{	PUNCT
ejpam-5956	190	25	⟨ξ	⟨ξ	PROPN
ejpam-5956	190	26	,	,	PUNCT
ejpam-5956	190	27	ω	ω	PROPN
ejpam-5956	190	28	q(ξ	q(ξ	PROPN
ejpam-5956	190	29	)	)	PUNCT
ejpam-5956	190	30	,	,	PUNCT
ejpam-5956	190	31	ϖ	ϖ	PROPN
ejpam-5956	190	32	q	q	X
ejpam-5956	190	33	,	,	PUNCT
ejpam-5956	190	34	0⟩	0⟩	PROPN
ejpam-5956	190	35	|ξ	|ξ	VERB
ejpam-5956	190	36	∈	∈	PROPN
ejpam-5956	190	37	ξ	ξ	NOUN
ejpam-5956	190	38	}	}	PUNCT
ejpam-5956	190	39	=	=	ADJ
ejpam-5956	190	40	̸	̸	NUM
ejpam-5956	190	41	q	q	NOUN
ejpam-5956	190	42	,	,	PUNCT
ejpam-5956	190	43	dali	dali	PROPN
ejpam-5956	190	44	shi	shi	PROPN
ejpam-5956	190	45	et	et	PROPN
ejpam-5956	190	46	al	al	PROPN
ejpam-5956	190	47	.	.	PUNCT
ejpam-5956	190	48	/	/	SYM
ejpam-5956	190	49	eur	eur	PROPN
ejpam-5956	190	50	.	.	PUNCT
ejpam-5956	191	1	j.	j.	PROPN
ejpam-5956	191	2	pure	pure	PROPN
ejpam-5956	191	3	appl	appl	PROPN
ejpam-5956	191	4	.	.	PROPN
ejpam-5956	191	5	math	math	PROPN
ejpam-5956	191	6	,	,	PUNCT
ejpam-5956	191	7	18	18	NUM
ejpam-5956	191	8	(	(	PUNCT
ejpam-5956	191	9	2	2	NUM
ejpam-5956	191	10	)	)	PUNCT
ejpam-5956	191	11	(	(	PUNCT
ejpam-5956	191	12	2025	2025	NUM
ejpam-5956	191	13	)	)	PUNCT
ejpam-5956	191	14	,	,	PUNCT
ejpam-5956	191	15	5956	5956	NUM
ejpam-5956	191	16	7	7	NUM
ejpam-5956	191	17	of	of	ADP
ejpam-5956	191	18	30	30	NUM
ejpam-5956	191	19	that	that	PRON
ejpam-5956	191	20	is	be	AUX
ejpam-5956	191	21	,	,	PUNCT
ejpam-5956	191	22	axiom	axiom	NOUN
ejpam-5956	191	23	4	4	NUM
ejpam-5956	191	24	is	be	AUX
ejpam-5956	191	25	not	not	PART
ejpam-5956	191	26	satisfied	satisfied	ADJ
ejpam-5956	191	27	,	,	PUNCT
ejpam-5956	191	28	and	and	CCONJ
ejpam-5956	191	29	also	also	ADV
ejpam-5956	191	30	♯	♯	PROPN
ejpam-5956	192	1	↠	↠	PROPN
ejpam-5956	192	2	q	q	NOUN
ejpam-5956	192	3	is	be	AUX
ejpam-5956	192	4	not	not	PART
ejpam-5956	192	5	a	a	DET
ejpam-5956	192	6	pftaut	pftaut	NOUN
ejpam-5956	192	7	set	set	NOUN
ejpam-5956	192	8	,	,	PUNCT
ejpam-5956	192	9	(	(	PUNCT
ejpam-5956	192	10	axiom4∗	axiom4∗	NOUN
ejpam-5956	192	11	)	)	PUNCT
ejpam-5956	192	12	is	be	AUX
ejpam-5956	192	13	not	not	PART
ejpam-5956	192	14	satisfied	satisfied	ADJ
ejpam-5956	192	15	in	in	ADP
ejpam-5956	192	16	general	general	ADJ
ejpam-5956	192	17	.	.	PUNCT
ejpam-5956	193	1	(	(	PUNCT
ejpam-5956	193	2	for	for	ADP
ejpam-5956	193	3	axiom5∗	axiom5∗	NOUN
ejpam-5956	193	4	)	)	PUNCT
ejpam-5956	193	5	,	,	PUNCT
ejpam-5956	193	6	k	k	PROPN
ejpam-5956	194	1	↠	↠	X
ejpam-5956	195	1	k	k	NOUN
ejpam-5956	195	2	=	=	PUNCT
ejpam-5956	195	3	{	{	PUNCT
ejpam-5956	195	4	⟨ξ	⟨ξ	NOUN
ejpam-5956	195	5	,	,	PUNCT
ejpam-5956	195	6	(	(	PUNCT
ejpam-5956	195	7	ϖk(ξ	ϖk(ξ	ADJ
ejpam-5956	195	8	)	)	PUNCT
ejpam-5956	195	9	∨	∨	NUM
ejpam-5956	195	10	ωk(ξ	ωk(ξ	NUM
ejpam-5956	195	11	)	)	PUNCT
ejpam-5956	195	12	)	)	PUNCT
ejpam-5956	195	13	,	,	PUNCT
ejpam-5956	195	14	ωk(ξ).ϖk(ξ	ωk(ξ).ϖk(ξ	NUM
ejpam-5956	195	15	)	)	PUNCT
ejpam-5956	195	16	,	,	PUNCT
ejpam-5956	195	17	σk(ξ).σk(ξ)⟩	σk(ξ).σk(ξ)⟩	NOUN
ejpam-5956	195	18	|ξ	|ξ	VERB
ejpam-5956	195	19	∈	∈	NOUN
ejpam-5956	195	20	ξ	ξ	NOUN
ejpam-5956	195	21	}	}	PUNCT
ejpam-5956	195	22	,	,	PUNCT
ejpam-5956	195	23	since	since	SCONJ
ejpam-5956	195	24	(	(	PUNCT
ejpam-5956	195	25	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	195	26	)	)	PUNCT
ejpam-5956	195	27	∨	∨	NUM
ejpam-5956	195	28	ωk(ξ	ωk(ξ	NUM
ejpam-5956	195	29	)	)	PUNCT
ejpam-5956	195	30	)	)	PUNCT
ejpam-5956	195	31	≥	≥	NOUN
ejpam-5956	195	32	ωk(ξ).ϖk(ξ	ωk(ξ).ϖk(ξ	NUM
ejpam-5956	195	33	)	)	PUNCT
ejpam-5956	195	34	.	.	PUNCT
ejpam-5956	196	1	then	then	ADV
ejpam-5956	196	2	,	,	PUNCT
ejpam-5956	196	3	k	k	PROPN
ejpam-5956	197	1	↠	↠	X
ejpam-5956	197	2	k	k	PROPN
ejpam-5956	197	3	is	be	AUX
ejpam-5956	197	4	a	a	DET
ejpam-5956	197	5	pftaut	pftaut	NOUN
ejpam-5956	197	6	set	set	NOUN
ejpam-5956	197	7	,	,	PUNCT
ejpam-5956	197	8	(	(	PUNCT
ejpam-5956	197	9	axiom5∗	axiom5∗	NOUN
ejpam-5956	197	10	)	)	PUNCT
ejpam-5956	197	11	is	be	AUX
ejpam-5956	197	12	satisfied	satisfied	ADJ
ejpam-5956	197	13	while	while	SCONJ
ejpam-5956	197	14	(	(	PUNCT
ejpam-5956	197	15	axiom5	axiom5	VERB
ejpam-5956	197	16	)	)	PUNCT
ejpam-5956	197	17	is	be	AUX
ejpam-5956	197	18	not	not	PART
ejpam-5956	197	19	valid	valid	ADJ
ejpam-5956	197	20	.	.	PUNCT
ejpam-5956	198	1	because	because	SCONJ
ejpam-5956	198	2	we	we	PRON
ejpam-5956	198	3	can	can	AUX
ejpam-5956	198	4	find	find	VERB
ejpam-5956	198	5	elements	element	NOUN
ejpam-5956	198	6	ξ	ξ	X
ejpam-5956	198	7	∈	∈	SYM
ejpam-5956	198	8	ξ	ξ	PROPN
ejpam-5956	198	9	for	for	ADP
ejpam-5956	198	10	which	which	PRON
ejpam-5956	198	11	(	(	PUNCT
ejpam-5956	198	12	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	198	13	)	)	PUNCT
ejpam-5956	198	14	∨	∨	NUM
ejpam-5956	198	15	ωk(ξ	ωk(ξ	NUM
ejpam-5956	198	16	)	)	PUNCT
ejpam-5956	198	17	)	)	PUNCT
ejpam-5956	199	1	<	<	X
ejpam-5956	199	2	1	1	NUM
ejpam-5956	199	3	,	,	PUNCT
ejpam-5956	199	4	ωk(ξ).ϖk(ξ	ωk(ξ).ϖk(ξ	NUM
ejpam-5956	199	5	)	)	PUNCT
ejpam-5956	199	6	>	>	X
ejpam-5956	199	7	0	0	X
ejpam-5956	199	8	.	.	PUNCT
ejpam-5956	200	1	(	(	PUNCT
ejpam-5956	200	2	for	for	ADP
ejpam-5956	200	3	axiom6	axiom6	NOUN
ejpam-5956	200	4	)	)	PUNCT
ejpam-5956	200	5	,	,	PUNCT
ejpam-5956	200	6	k	k	PROPN
ejpam-5956	200	7	↠	↠	PROPN
ejpam-5956	200	8	(	(	PUNCT
ejpam-5956	200	9	q	q	PROPN
ejpam-5956	200	10	↠	↠	PROPN
ejpam-5956	200	11	d	d	NOUN
ejpam-5956	200	12	)	)	PUNCT
ejpam-5956	201	1	=	=	SYM
ejpam-5956	201	2	k	k	PROPN
ejpam-5956	201	3	↠	↠	PROPN
ejpam-5956	201	4	{	{	PUNCT
ejpam-5956	201	5	⟨ξ	⟨ξ	PROPN
ejpam-5956	201	6	,	,	PUNCT
ejpam-5956	201	7	(	(	PUNCT
ejpam-5956	201	8	ϖ	ϖ	X
ejpam-5956	201	9	q(ξ	q(ξ	ADJ
ejpam-5956	201	10	)	)	PUNCT
ejpam-5956	201	11	∨	∨	PROPN
ejpam-5956	201	12	ω	ω	NUM
ejpam-5956	201	13	d(ξ	d(ξ	NOUN
ejpam-5956	201	14	)	)	PUNCT
ejpam-5956	201	15	)	)	PUNCT
ejpam-5956	201	16	,	,	PUNCT
ejpam-5956	201	17	ω	ω	NUM
ejpam-5956	201	18	q(ξ).ϖ	q(ξ).ϖ	PROPN
ejpam-5956	201	19	d(ξ	d(ξ	PROPN
ejpam-5956	201	20	)	)	PUNCT
ejpam-5956	201	21	,	,	PUNCT
ejpam-5956	201	22	σ	σ	PROPN
ejpam-5956	201	23	q(ξ).σ	q(ξ).σ	ADJ
ejpam-5956	201	24	d(ξ)⟩	d(ξ)⟩	PROPN
ejpam-5956	201	25	|ξ	|ξ	AUX
ejpam-5956	201	26	∈	∈	PROPN
ejpam-5956	201	27	ξ	ξ	NOUN
ejpam-5956	201	28	}	}	PUNCT
ejpam-5956	201	29	=	=	SYM
ejpam-5956	201	30	{	{	PUNCT
ejpam-5956	201	31	⟨ξ	⟨ξ	NOUN
ejpam-5956	201	32	,	,	PUNCT
ejpam-5956	201	33	(	(	PUNCT
ejpam-5956	201	34	ϖk(ξ	ϖk(ξ	ADJ
ejpam-5956	201	35	)	)	PUNCT
ejpam-5956	201	36	∨	∨	NUM
ejpam-5956	201	37	(	(	PUNCT
ejpam-5956	201	38	ϖ	ϖ	PROPN
ejpam-5956	201	39	q(ξ	q(ξ	ADJ
ejpam-5956	201	40	)	)	PUNCT
ejpam-5956	201	41	∨	∨	PROPN
ejpam-5956	201	42	ω	ω	NUM
ejpam-5956	201	43	d(ξ	d(ξ	NOUN
ejpam-5956	201	44	)	)	PUNCT
ejpam-5956	201	45	)	)	PUNCT
ejpam-5956	201	46	)	)	PUNCT
ejpam-5956	201	47	,	,	PUNCT
ejpam-5956	202	1	ωk(ξ).ω	ωk(ξ).ω	CCONJ
ejpam-5956	202	2	q(ξ).ϖ	q(ξ).ϖ	PROPN
ejpam-5956	202	3	d(ξ	d(ξ	PROPN
ejpam-5956	202	4	)	)	PUNCT
ejpam-5956	202	5	,	,	PUNCT
ejpam-5956	202	6	σk(ξ).σ	σk(ξ).σ	PROPN
ejpam-5956	202	7	q(ξ).σ	q(ξ).σ	ADP
ejpam-5956	202	8	d(ξ)⟩	d(ξ)⟩	PROPN
ejpam-5956	202	9	|ξ	|ξ	AUX
ejpam-5956	202	10	∈	∈	PROPN
ejpam-5956	202	11	ξ	ξ	NOUN
ejpam-5956	202	12	}	}	PUNCT
ejpam-5956	202	13	=	=	SYM
ejpam-5956	202	14	{	{	PUNCT
ejpam-5956	202	15	⟨ξ	⟨ξ	NOUN
ejpam-5956	202	16	,	,	PUNCT
ejpam-5956	202	17	(	(	PUNCT
ejpam-5956	202	18	ϖk(ξ	ϖk(ξ	ADJ
ejpam-5956	202	19	)	)	PUNCT
ejpam-5956	202	20	∨ϖ	∨ϖ	VERB
ejpam-5956	202	21	q(ξ	q(ξ	PROPN
ejpam-5956	202	22	)	)	PUNCT
ejpam-5956	202	23	∨	∨	PROPN
ejpam-5956	202	24	ω	ω	NUM
ejpam-5956	202	25	d(ξ	d(ξ	NOUN
ejpam-5956	202	26	)	)	PUNCT
ejpam-5956	202	27	)	)	PUNCT
ejpam-5956	202	28	,	,	PUNCT
ejpam-5956	203	1	ωk(ξ).ω	ωk(ξ).ω	CCONJ
ejpam-5956	203	2	q(ξ).ϖ	q(ξ).ϖ	PROPN
ejpam-5956	203	3	q(ξ	q(ξ	PROPN
ejpam-5956	203	4	)	)	PUNCT
ejpam-5956	203	5	,	,	PUNCT
ejpam-5956	203	6	σk(ξ).σ	σk(ξ).σ	PROPN
ejpam-5956	203	7	q(ξ).σ	q(ξ).σ	ADP
ejpam-5956	203	8	d(ξ)⟩	d(ξ)⟩	PROPN
ejpam-5956	203	9	|ξ	|ξ	AUX
ejpam-5956	203	10	∈	∈	PROPN
ejpam-5956	203	11	ξ	ξ	NOUN
ejpam-5956	203	12	}	}	PUNCT
ejpam-5956	203	13	=	=	SYM
ejpam-5956	203	14	{	{	PUNCT
ejpam-5956	203	15	⟨ξ	⟨ξ	NOUN
ejpam-5956	203	16	,	,	PUNCT
ejpam-5956	203	17	(	(	PUNCT
ejpam-5956	203	18	ϖ	ϖ	X
ejpam-5956	203	19	q(ξ	q(ξ	ADJ
ejpam-5956	203	20	)	)	PUNCT
ejpam-5956	203	21	∨	∨	PROPN
ejpam-5956	203	22	(	(	PUNCT
ejpam-5956	203	23	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	203	24	)	)	PUNCT
ejpam-5956	203	25	∨	∨	NUM
ejpam-5956	203	26	ω	ω	NUM
ejpam-5956	203	27	d(ξ	d(ξ	NOUN
ejpam-5956	203	28	)	)	PUNCT
ejpam-5956	203	29	)	)	PUNCT
ejpam-5956	203	30	)	)	PUNCT
ejpam-5956	203	31	,	,	PUNCT
ejpam-5956	203	32	ω	ω	NUM
ejpam-5956	203	33	q(ξ).ωk(ξ).ϖ	q(ξ).ωk(ξ).ϖ	PROPN
ejpam-5956	203	34	d(ξ	d(ξ	PROPN
ejpam-5956	203	35	)	)	PUNCT
ejpam-5956	203	36	,	,	PUNCT
ejpam-5956	203	37	σ	σ	PROPN
ejpam-5956	203	38	q(ξ).σk(ξ).σ	q(ξ).σk(ξ).σ	NOUN
ejpam-5956	203	39	d(ξ)⟩	d(ξ)⟩	VERB
ejpam-5956	203	40	|ξ	|ξ	AUX
ejpam-5956	203	41	∈	∈	NOUN
ejpam-5956	203	42	ξ	ξ	NOUN
ejpam-5956	203	43	}	}	PUNCT
ejpam-5956	203	44	=	=	SYM
ejpam-5956	203	45	q	q	PUNCT
ejpam-5956	203	46	↠	↠	PROPN
ejpam-5956	203	47	{	{	PUNCT
ejpam-5956	203	48	⟨ξ	⟨ξ	NOUN
ejpam-5956	203	49	,	,	PUNCT
ejpam-5956	203	50	(	(	PUNCT
ejpam-5956	203	51	ϖk(ξ	ϖk(ξ	ADJ
ejpam-5956	203	52	)	)	PUNCT
ejpam-5956	203	53	∨	∨	NUM
ejpam-5956	203	54	ω	ω	NUM
ejpam-5956	203	55	d(ξ	d(ξ	NOUN
ejpam-5956	203	56	)	)	PUNCT
ejpam-5956	203	57	)	)	PUNCT
ejpam-5956	203	58	,	,	PUNCT
ejpam-5956	203	59	ωk(ξ).ϖ	ωk(ξ).ϖ	PROPN
ejpam-5956	203	60	d(ξ	d(ξ	PROPN
ejpam-5956	203	61	)	)	PUNCT
ejpam-5956	203	62	,	,	PUNCT
ejpam-5956	203	63	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	203	64	d(ξ)⟩	d(ξ)⟩	NOUN
ejpam-5956	203	65	|ξ	|ξ	AUX
ejpam-5956	203	66	∈	∈	NOUN
ejpam-5956	203	67	ξ	ξ	NOUN
ejpam-5956	203	68	}	}	PUNCT
ejpam-5956	203	69	=	=	SYM
ejpam-5956	203	70	q	q	NOUN
ejpam-5956	204	1	↠	↠	INTJ
ejpam-5956	204	2	(	(	PUNCT
ejpam-5956	204	3	k	k	PROPN
ejpam-5956	204	4	↠	↠	PROPN
ejpam-5956	204	5	d	d	NOUN
ejpam-5956	204	6	)	)	PUNCT
ejpam-5956	204	7	.	.	PUNCT
ejpam-5956	205	1	(	(	PUNCT
ejpam-5956	205	2	for	for	ADP
ejpam-5956	205	3	axiom7∗	axiom7∗	NOUN
ejpam-5956	205	4	)	)	PUNCT
ejpam-5956	205	5	,	,	PUNCT
ejpam-5956	205	6	if	if	SCONJ
ejpam-5956	205	7	k	k	PROPN
ejpam-5956	205	8	↠	↠	X
ejpam-5956	205	9	q	q	X
ejpam-5956	206	1	=	=	PUNCT
ejpam-5956	206	2	{	{	PUNCT
ejpam-5956	206	3	⟨ξ	⟨ξ	NOUN
ejpam-5956	206	4	,	,	PUNCT
ejpam-5956	206	5	(	(	PUNCT
ejpam-5956	206	6	ϖk(ξ	ϖk(ξ	ADJ
ejpam-5956	206	7	)	)	PUNCT
ejpam-5956	206	8	∨	∨	NUM
ejpam-5956	206	9	ω	ω	NUM
ejpam-5956	206	10	q(ξ	q(ξ	PROPN
ejpam-5956	206	11	)	)	PUNCT
ejpam-5956	206	12	)	)	PUNCT
ejpam-5956	206	13	,	,	PUNCT
ejpam-5956	206	14	ωk(ξ).ϖ	ωk(ξ).ϖ	PROPN
ejpam-5956	206	15	q(ξ	q(ξ	PROPN
ejpam-5956	206	16	)	)	PUNCT
ejpam-5956	206	17	,	,	PUNCT
ejpam-5956	206	18	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	206	19	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	206	20	|ξ	|ξ	VERB
ejpam-5956	206	21	∈	∈	NOUN
ejpam-5956	206	22	ξ	ξ	NOUN
ejpam-5956	206	23	}	}	PUNCT
ejpam-5956	206	24	=	=	SYM
ejpam-5956	206	25	♯	♯	PROPN
ejpam-5956	206	26	,	,	PUNCT
ejpam-5956	206	27	then	then	ADV
ejpam-5956	206	28	(	(	PUNCT
ejpam-5956	206	29	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	206	30	)	)	PUNCT
ejpam-5956	206	31	∨	∨	NUM
ejpam-5956	206	32	ω	ω	NUM
ejpam-5956	206	33	q(ξ	q(ξ	PROPN
ejpam-5956	206	34	)	)	PUNCT
ejpam-5956	206	35	)	)	PUNCT
ejpam-5956	207	1	=	=	SYM
ejpam-5956	207	2	1	1	NUM
ejpam-5956	207	3	,	,	PUNCT
ejpam-5956	207	4	ωk(ξ).ϖ	ωk(ξ).ϖ	PROPN
ejpam-5956	207	5	q(ξ	q(ξ	ADV
ejpam-5956	207	6	)	)	PUNCT
ejpam-5956	208	1	=	=	PUNCT
ejpam-5956	208	2	0	0	NUM
ejpam-5956	208	3	,	,	PUNCT
ejpam-5956	208	4	σk(ξ).σ	σk(ξ).σ	NOUN
ejpam-5956	208	5	q(ξ	q(ξ	ADV
ejpam-5956	208	6	)	)	PUNCT
ejpam-5956	208	7	=	=	PUNCT
ejpam-5956	209	1	0	0	X
ejpam-5956	209	2	.	.	PUNCT
ejpam-5956	210	1	therefore	therefore	ADV
ejpam-5956	210	2	,	,	PUNCT
ejpam-5956	210	3	either	either	CCONJ
ejpam-5956	210	4	k	k	PROPN
ejpam-5956	210	5	=	=	PUNCT
ejpam-5956	210	6	♭	♭	PROPN
ejpam-5956	210	7	and	and	CCONJ
ejpam-5956	210	8	hence	hence	ADV
ejpam-5956	210	9	k	k	PROPN
ejpam-5956	210	10	⊆	⊆	NUM
ejpam-5956	210	11	q	q	NOUN
ejpam-5956	210	12	or	or	CCONJ
ejpam-5956	210	13	q	q	NOUN
ejpam-5956	210	14	=	=	PUNCT
ejpam-5956	210	15	♯	♯	PROPN
ejpam-5956	210	16	and	and	CCONJ
ejpam-5956	210	17	it	it	PRON
ejpam-5956	210	18	means	mean	VERB
ejpam-5956	210	19	again	again	ADV
ejpam-5956	210	20	k	k	PROPN
ejpam-5956	210	21	⊆	⊆	NUM
ejpam-5956	210	22	q.	q.	NOUN
ejpam-5956	210	23	conversely	conversely	ADV
ejpam-5956	210	24	,	,	PUNCT
ejpam-5956	210	25	if	if	SCONJ
ejpam-5956	210	26	we	we	PRON
ejpam-5956	210	27	suppose	suppose	VERB
ejpam-5956	210	28	k	k	PROPN
ejpam-5956	210	29	⊆	⊆	NUM
ejpam-5956	210	30	q	q	NOUN
ejpam-5956	210	31	,	,	PUNCT
ejpam-5956	210	32	then	then	ADV
ejpam-5956	210	33	ωk(ξ	ωk(ξ	NUM
ejpam-5956	210	34	)	)	PUNCT
ejpam-5956	210	35	≤	≤	NUM
ejpam-5956	210	36	ω	ω	NUM
ejpam-5956	210	37	q(ξ	q(ξ	PROPN
ejpam-5956	210	38	)	)	PUNCT
ejpam-5956	210	39	,	,	PUNCT
ejpam-5956	210	40	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	210	41	)	)	PUNCT
ejpam-5956	210	42	≥	≥	NOUN
ejpam-5956	210	43	ϖ	ϖ	X
ejpam-5956	210	44	q(ξ	q(ξ	PROPN
ejpam-5956	210	45	)	)	PUNCT
ejpam-5956	210	46	,	,	PUNCT
ejpam-5956	210	47	σk(ξ	σk(ξ	NUM
ejpam-5956	210	48	)	)	PUNCT
ejpam-5956	210	49	≥	≥	PROPN
ejpam-5956	210	50	σ	σ	NUM
ejpam-5956	210	51	q(ξ	q(ξ	PROPN
ejpam-5956	210	52	)	)	PUNCT
ejpam-5956	210	53	or	or	CCONJ
ejpam-5956	210	54	σk(ξ	σk(ξ	NUM
ejpam-5956	210	55	)	)	PUNCT
ejpam-5956	210	56	≤	≤	NUM
ejpam-5956	210	57	σ	σ	NUM
ejpam-5956	210	58	q(ξ	q(ξ	PROPN
ejpam-5956	210	59	)	)	PUNCT
ejpam-5956	210	60	.	.	PUNCT
ejpam-5956	211	1	thus	thus	ADV
ejpam-5956	211	2	,	,	PUNCT
ejpam-5956	211	3	(	(	PUNCT
ejpam-5956	211	4	ϖk(ξ	ϖk(ξ	ADJ
ejpam-5956	211	5	)	)	PUNCT
ejpam-5956	211	6	∨	∨	NUM
ejpam-5956	211	7	ω	ω	NUM
ejpam-5956	211	8	q(ξ	q(ξ	PROPN
ejpam-5956	211	9	)	)	PUNCT
ejpam-5956	211	10	)	)	PUNCT
ejpam-5956	212	1	+	+	CCONJ
ejpam-5956	212	2	ωk(ξ).ϖ	ωk(ξ).ϖ	PROPN
ejpam-5956	212	3	q(ξ	q(ξ	PRON
ejpam-5956	212	4	)	)	PUNCT
ejpam-5956	213	1	+	+	CCONJ
ejpam-5956	213	2	σk(ξ).σ	σk(ξ).σ	NOUN
ejpam-5956	213	3	q(ξ	q(ξ	ADV
ejpam-5956	213	4	)	)	PUNCT
ejpam-5956	213	5	≥	≥	PROPN
ejpam-5956	213	6	ω	ω	NUM
ejpam-5956	213	7	q(ξ	q(ξ	PROPN
ejpam-5956	213	8	)	)	PUNCT
ejpam-5956	214	1	+	+	CCONJ
ejpam-5956	214	2	ωk(ξ).ϖ	ωk(ξ).ϖ	PROPN
ejpam-5956	214	3	q(ξ	q(ξ	PRON
ejpam-5956	214	4	)	)	PUNCT
ejpam-5956	215	1	+	+	CCONJ
ejpam-5956	215	2	σk(ξ).σ	σk(ξ).σ	NOUN
ejpam-5956	215	3	q(ξ	q(ξ	ADV
ejpam-5956	215	4	)	)	PUNCT
ejpam-5956	215	5	≥	≥	PROPN
ejpam-5956	215	6	ω	ω	NUM
ejpam-5956	215	7	q(ξ	q(ξ	PROPN
ejpam-5956	215	8	)	)	PUNCT
ejpam-5956	216	1	+	+	ADP
ejpam-5956	216	2	ϖ	ϖ	X
ejpam-5956	216	3	q(ξ	q(ξ	ADJ
ejpam-5956	216	4	)	)	PUNCT
ejpam-5956	217	1	+	+	CCONJ
ejpam-5956	217	2	σ	σ	NOUN
ejpam-5956	217	3	q(ξ	q(ξ	ADJ
ejpam-5956	217	4	)	)	PUNCT
ejpam-5956	217	5	≥	≥	NOUN
ejpam-5956	217	6	0	0	NUM
ejpam-5956	217	7	,	,	PUNCT
ejpam-5956	217	8	or	or	CCONJ
ejpam-5956	217	9	(	(	PUNCT
ejpam-5956	217	10	ϖk(ξ	ϖk(ξ	ADJ
ejpam-5956	217	11	)	)	PUNCT
ejpam-5956	217	12	∨	∨	NUM
ejpam-5956	217	13	ω	ω	NUM
ejpam-5956	217	14	q(ξ	q(ξ	PROPN
ejpam-5956	217	15	)	)	PUNCT
ejpam-5956	217	16	)	)	PUNCT
ejpam-5956	218	1	+	+	CCONJ
ejpam-5956	218	2	ωk(ξ).ϖ	ωk(ξ).ϖ	PROPN
ejpam-5956	218	3	q(ξ	q(ξ	PRON
ejpam-5956	218	4	)	)	PUNCT
ejpam-5956	219	1	+	+	CCONJ
ejpam-5956	219	2	σk(ξ).σ	σk(ξ).σ	NOUN
ejpam-5956	219	3	q(ξ	q(ξ	ADV
ejpam-5956	219	4	)	)	PUNCT
ejpam-5956	219	5	≥	≥	NOUN
ejpam-5956	219	6	ϖk(ξ	ϖk(ξ	PUNCT
ejpam-5956	219	7	)	)	PUNCT
ejpam-5956	220	1	+	+	CCONJ
ejpam-5956	220	2	ωk(ξ).ϖ	ωk(ξ).ϖ	PROPN
ejpam-5956	220	3	q(ξ	q(ξ	PRON
ejpam-5956	220	4	)	)	PUNCT
ejpam-5956	221	1	+	+	CCONJ
ejpam-5956	221	2	σk(ξ).σ	σk(ξ).σ	NOUN
ejpam-5956	221	3	q(ξ	q(ξ	ADV
ejpam-5956	221	4	)	)	PUNCT
ejpam-5956	221	5	≥	≥	NOUN
ejpam-5956	221	6	ϖk(ξ	ϖk(ξ	PUNCT
ejpam-5956	221	7	)	)	PUNCT
ejpam-5956	221	8	+	+	CCONJ
ejpam-5956	221	9	ωk(ξ	ωk(ξ	NUM
ejpam-5956	221	10	)	)	PUNCT
ejpam-5956	221	11	+	+	NUM
ejpam-5956	221	12	σk(ξ	σk(ξ	NUM
ejpam-5956	221	13	)	)	PUNCT
ejpam-5956	221	14	≥	≥	NOUN
ejpam-5956	221	15	0	0	NUM
ejpam-5956	221	16	,	,	PUNCT
ejpam-5956	221	17	and	and	CCONJ
ejpam-5956	222	1	then	then	ADV
ejpam-5956	222	2	k	k	PROPN
ejpam-5956	222	3	↠	↠	X
ejpam-5956	222	4	q	q	PROPN
ejpam-5956	222	5	is	be	AUX
ejpam-5956	222	6	a	a	DET
ejpam-5956	222	7	pftaut	pftaut	NOUN
ejpam-5956	222	8	set	set	NOUN
ejpam-5956	222	9	.	.	PUNCT
ejpam-5956	223	1	but	but	CCONJ
ejpam-5956	223	2	if	if	SCONJ
ejpam-5956	223	3	k	k	PROPN
ejpam-5956	223	4	⊆	⊆	NUM
ejpam-5956	223	5	q	q	NOUN
ejpam-5956	223	6	,	,	PUNCT
ejpam-5956	223	7	then	then	ADV
ejpam-5956	223	8	(	(	PUNCT
ejpam-5956	223	9	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	223	10	)	)	PUNCT
ejpam-5956	223	11	∨	∨	NUM
ejpam-5956	223	12	ω	ω	NUM
ejpam-5956	223	13	q(ξ	q(ξ	PROPN
ejpam-5956	223	14	)	)	PUNCT
ejpam-5956	223	15	)	)	PUNCT
ejpam-5956	223	16	≥	≥	NOUN
ejpam-5956	223	17	ωk(ξ).ϖ	ωk(ξ).ϖ	PROPN
ejpam-5956	223	18	q(ξ	q(ξ	PROPN
ejpam-5956	223	19	)	)	PUNCT
ejpam-5956	223	20	,	,	PUNCT
ejpam-5956	223	21	and	and	CCONJ
ejpam-5956	223	22	so	so	ADV
ejpam-5956	223	23	may	may	AUX
ejpam-5956	223	24	not	not	PART
ejpam-5956	223	25	imply	imply	VERB
ejpam-5956	223	26	(	(	PUNCT
ejpam-5956	223	27	ϖk(ξ	ϖk(ξ	ADJ
ejpam-5956	223	28	)	)	PUNCT
ejpam-5956	223	29	∨	∨	NUM
ejpam-5956	223	30	ω	ω	NUM
ejpam-5956	223	31	q(ξ	q(ξ	PROPN
ejpam-5956	223	32	)	)	PUNCT
ejpam-5956	223	33	)	)	PUNCT
ejpam-5956	224	1	=	=	SYM
ejpam-5956	224	2	1	1	NUM
ejpam-5956	224	3	,	,	PUNCT
ejpam-5956	224	4	ωk(ξ).ϖ	ωk(ξ).ϖ	PROPN
ejpam-5956	224	5	q(ξ	q(ξ	PROPN
ejpam-5956	224	6	)	)	PUNCT
ejpam-5956	224	7	=	=	SYM
ejpam-5956	224	8	0	0	NUM
ejpam-5956	224	9	and	and	CCONJ
ejpam-5956	224	10	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	224	11	q(ξ	q(ξ	ADV
ejpam-5956	224	12	)	)	PUNCT
ejpam-5956	225	1	=	=	PUNCT
ejpam-5956	225	2	0	0	X
ejpam-5956	225	3	.	.	PUNCT
ejpam-5956	226	1	hence	hence	ADV
ejpam-5956	226	2	,	,	PUNCT
ejpam-5956	226	3	(	(	PUNCT
ejpam-5956	226	4	axiom7	axiom7	PRON
ejpam-5956	226	5	)	)	PUNCT
ejpam-5956	226	6	is	be	AUX
ejpam-5956	226	7	not	not	PART
ejpam-5956	226	8	satisfied	satisfied	ADJ
ejpam-5956	226	9	in	in	ADP
ejpam-5956	226	10	general	general	ADJ
ejpam-5956	226	11	.	.	PUNCT
ejpam-5956	227	1	(	(	PUNCT
ejpam-5956	227	2	for	for	ADP
ejpam-5956	227	3	axiom8	axiom8	NOUN
ejpam-5956	227	4	)	)	PUNCT
ejpam-5956	227	5	,	,	PUNCT
ejpam-5956	227	6	k	k	PROPN
ejpam-5956	228	1	↠	↠	X
ejpam-5956	228	2	q	q	X
ejpam-5956	228	3	=	=	PUNCT
ejpam-5956	228	4	{	{	PUNCT
ejpam-5956	228	5	⟨ξ	⟨ξ	NOUN
ejpam-5956	228	6	,	,	PUNCT
ejpam-5956	228	7	(	(	PUNCT
ejpam-5956	228	8	ϖk(ξ	ϖk(ξ	ADJ
ejpam-5956	228	9	)	)	PUNCT
ejpam-5956	228	10	∨	∨	NUM
ejpam-5956	228	11	ω	ω	NUM
ejpam-5956	228	12	q(ξ	q(ξ	PROPN
ejpam-5956	228	13	)	)	PUNCT
ejpam-5956	228	14	)	)	PUNCT
ejpam-5956	228	15	,	,	PUNCT
ejpam-5956	228	16	ωk(ξ).ϖ	ωk(ξ).ϖ	PROPN
ejpam-5956	228	17	q(ξ	q(ξ	PROPN
ejpam-5956	228	18	)	)	PUNCT
ejpam-5956	228	19	,	,	PUNCT
ejpam-5956	228	20	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	228	21	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	228	22	|ξ	|ξ	AUX
ejpam-5956	228	23	∈	∈	NOUN
ejpam-5956	228	24	ξ	ξ	NOUN
ejpam-5956	228	25	}	}	PUNCT
ejpam-5956	228	26	=	=	SYM
ejpam-5956	228	27	{	{	PUNCT
ejpam-5956	228	28	⟨ξ	⟨ξ	NOUN
ejpam-5956	228	29	,	,	PUNCT
ejpam-5956	228	30	(	(	PUNCT
ejpam-5956	228	31	ω	ω	X
ejpam-5956	228	32	q(ξ	q(ξ	ADJ
ejpam-5956	228	33	)	)	PUNCT
ejpam-5956	228	34	∨ϖk(ξ	∨ϖk(ξ	NOUN
ejpam-5956	228	35	)	)	PUNCT
ejpam-5956	228	36	)	)	PUNCT
ejpam-5956	228	37	,	,	PUNCT
ejpam-5956	228	38	ϖ	ϖ	NOUN
ejpam-5956	228	39	q(ξ).ωk(ξ	q(ξ).ωk(ξ	NOUN
ejpam-5956	228	40	)	)	PUNCT
ejpam-5956	228	41	,	,	PUNCT
ejpam-5956	228	42	σ	σ	PROPN
ejpam-5956	228	43	q(ξ).σk(ξ)⟩	q(ξ).σk(ξ)⟩	PROPN
ejpam-5956	228	44	|ξ	|ξ	AUX
ejpam-5956	228	45	∈	∈	NOUN
ejpam-5956	228	46	ξ	ξ	NOUN
ejpam-5956	228	47	}	}	PUNCT
ejpam-5956	228	48	=	=	SYM
ejpam-5956	228	49	{	{	PUNCT
ejpam-5956	228	50	⟨ξ,ϖ	⟨ξ,ϖ	VERB
ejpam-5956	228	51	q(ξ	q(ξ	PROPN
ejpam-5956	228	52	)	)	PUNCT
ejpam-5956	228	53	,	,	PUNCT
ejpam-5956	228	54	ω	ω	PROPN
ejpam-5956	228	55	q(ξ	q(ξ	PROPN
ejpam-5956	228	56	)	)	PUNCT
ejpam-5956	228	57	,	,	PUNCT
ejpam-5956	228	58	σ	σ	PROPN
ejpam-5956	228	59	q(ξ)⟩	q(ξ)⟩	PROPN
ejpam-5956	228	60	|ξ	|ξ	VERB
ejpam-5956	228	61	∈	∈	PROPN
ejpam-5956	228	62	ξ	ξ	PROPN
ejpam-5956	228	63	}	}	PUNCT
ejpam-5956	228	64	↠	↠	PROPN
ejpam-5956	228	65	{	{	PUNCT
ejpam-5956	228	66	⟨ξ,ϖk(ξ	⟨ξ,ϖk(ξ	NOUN
ejpam-5956	228	67	)	)	PUNCT
ejpam-5956	228	68	,	,	PUNCT
ejpam-5956	228	69	ωk(ξ	ωk(ξ	NUM
ejpam-5956	228	70	)	)	PUNCT
ejpam-5956	228	71	,	,	PUNCT
ejpam-5956	228	72	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	228	73	|ξ	|ξ	VERB
ejpam-5956	228	74	∈	∈	NOUN
ejpam-5956	228	75	ξ	ξ	NOUN
ejpam-5956	228	76	}	}	PUNCT
ejpam-5956	228	77	=	=	SYM
ejpam-5956	228	78	ⅎ	ⅎ	PRON
ejpam-5956	228	79	q	q	X
ejpam-5956	228	80	↠	↠	PRON
ejpam-5956	228	81	ⅎk	ⅎk	NOUN
ejpam-5956	228	82	.	.	PUNCT
ejpam-5956	229	1	(	(	PUNCT
ejpam-5956	229	2	for	for	ADP
ejpam-5956	229	3	axiom9	axiom9	PROPN
ejpam-5956	229	4	)	)	PUNCT
ejpam-5956	229	5	,	,	PUNCT
ejpam-5956	229	6	since	since	SCONJ
ejpam-5956	229	7	the	the	DET
ejpam-5956	229	8	operations	operation	NOUN
ejpam-5956	229	9	“	"	PUNCT
ejpam-5956	229	10	max	max	PROPN
ejpam-5956	229	11	”	"	PUNCT
ejpam-5956	229	12	and	and	CCONJ
ejpam-5956	229	13	“	"	PUNCT
ejpam-5956	229	14	multiplication	multiplication	NOUN
ejpam-5956	229	15	”	"	PUNCT
ejpam-5956	229	16	as	as	SCONJ
ejpam-5956	229	17	functions	function	NOUN
ejpam-5956	229	18	preserve	preserve	VERB
ejpam-5956	229	19	the	the	DET
ejpam-5956	229	20	continuity	continuity	NOUN
ejpam-5956	229	21	,	,	PUNCT
ejpam-5956	229	22	then	then	ADV
ejpam-5956	229	23	↠	↠	PROPN
ejpam-5956	229	24	is	be	AUX
ejpam-5956	229	25	a	a	DET
ejpam-5956	229	26	continuous	continuous	ADJ
ejpam-5956	229	27	function	function	NOUN
ejpam-5956	229	28	.	.	PUNCT
ejpam-5956	230	1	according	accord	VERB
ejpam-5956	230	2	to	to	ADP
ejpam-5956	230	3	the	the	DET
ejpam-5956	230	4	above	above	ADJ
ejpam-5956	230	5	theorem	theorem	NOUN
ejpam-5956	230	6	,	,	PUNCT
ejpam-5956	230	7	for	for	ADP
ejpam-5956	230	8	all	all	DET
ejpam-5956	230	9	k	k	PROPN
ejpam-5956	230	10	∈	∈	PROPN
ejpam-5956	230	11	p(♯	p(♯	NOUN
ejpam-5956	230	12	)	)	PUNCT
ejpam-5956	230	13	,	,	PUNCT
ejpam-5956	230	14	the	the	DET
ejpam-5956	230	15	implication	implication	NOUN
ejpam-5956	230	16	operation	operation	NOUN
ejpam-5956	230	17	↠	↠	PROPN
ejpam-5956	230	18	satisfies	satisfy	VERB
ejpam-5956	230	19	the	the	DET
ejpam-5956	230	20	axioms	axiom	NOUN
ejpam-5956	230	21	(	(	PUNCT
ejpam-5956	230	22	1	1	NUM
ejpam-5956	230	23	,	,	PUNCT
ejpam-5956	230	24	2	2	NUM
ejpam-5956	230	25	,	,	PUNCT
ejpam-5956	230	26	3	3	NUM
ejpam-5956	230	27	,	,	PUNCT
ejpam-5956	230	28	3	3	NUM
ejpam-5956	230	29	*	*	NOUN
ejpam-5956	230	30	,	,	PUNCT
ejpam-5956	230	31	5	5	NUM
ejpam-5956	230	32	*	*	NUM
ejpam-5956	230	33	,	,	PUNCT
ejpam-5956	230	34	6	6	NUM
ejpam-5956	230	35	,	,	PUNCT
ejpam-5956	230	36	7	7	NUM
ejpam-5956	230	37	*	*	NOUN
ejpam-5956	230	38	,	,	PUNCT
ejpam-5956	230	39	8	8	NUM
ejpam-5956	230	40	,	,	PUNCT
ejpam-5956	230	41	9	9	NUM
ejpam-5956	230	42	)	)	PUNCT
ejpam-5956	230	43	.	.	PUNCT
ejpam-5956	231	1	moreover	moreover	ADV
ejpam-5956	231	2	,	,	PUNCT
ejpam-5956	231	3	in	in	ADP
ejpam-5956	231	4	the	the	DET
ejpam-5956	231	5	intuitionistic	intuitionistic	ADJ
ejpam-5956	231	6	fuzzy	fuzzy	ADJ
ejpam-5956	231	7	case	case	NOUN
ejpam-5956	231	8	,	,	PUNCT
ejpam-5956	231	9	that	that	ADV
ejpam-5956	231	10	is	is	ADV
ejpam-5956	231	11	,	,	PUNCT
ejpam-5956	231	12	if	if	SCONJ
ejpam-5956	231	13	we	we	PRON
ejpam-5956	231	14	take	take	VERB
ejpam-5956	231	15	σk(ξ	σk(ξ	PUNCT
ejpam-5956	231	16	)	)	PUNCT
ejpam-5956	231	17	=	=	SYM
ejpam-5956	231	18	0	0	NUM
ejpam-5956	231	19	for	for	ADP
ejpam-5956	231	20	all	all	DET
ejpam-5956	231	21	k	k	PROPN
ejpam-5956	231	22	∈	∈	PROPN
ejpam-5956	231	23	p(♯	p(♯	NOUN
ejpam-5956	231	24	)	)	PUNCT
ejpam-5956	231	25	,	,	PUNCT
ejpam-5956	231	26	then	then	ADV
ejpam-5956	231	27	this	this	DET
ejpam-5956	231	28	implication	implication	NOUN
ejpam-5956	231	29	operation	operation	NOUN
ejpam-5956	231	30	↠	↠	PROPN
ejpam-5956	231	31	satisfies	satisfie	NOUN
ejpam-5956	231	32	also	also	ADV
ejpam-5956	231	33	(	(	PUNCT
ejpam-5956	231	34	axiom4	axiom4	ADJ
ejpam-5956	231	35	)	)	PUNCT
ejpam-5956	231	36	as	as	SCONJ
ejpam-5956	231	37	the	the	DET
ejpam-5956	231	38	case	case	NOUN
ejpam-5956	231	39	given	give	VERB
ejpam-5956	231	40	in	in	ADP
ejpam-5956	231	41	[	[	X
ejpam-5956	231	42	31	31	NUM
ejpam-5956	231	43	]	]	PUNCT
ejpam-5956	231	44	for	for	ADP
ejpam-5956	231	45	(	(	PUNCT
ejpam-5956	231	46	ifss	ifss	NOUN
ejpam-5956	231	47	)	)	PUNCT
ejpam-5956	231	48	but	but	CCONJ
ejpam-5956	231	49	still	still	ADV
ejpam-5956	231	50	not	not	PART
ejpam-5956	231	51	satisfying	satisfy	VERB
ejpam-5956	231	52	(	(	PUNCT
ejpam-5956	231	53	axiom4∗	axiom4∗	PROPN
ejpam-5956	231	54	)	)	PUNCT
ejpam-5956	231	55	.	.	PUNCT
ejpam-5956	232	1	as	as	ADP
ejpam-5956	232	2	another	another	DET
ejpam-5956	232	3	extension	extension	NOUN
ejpam-5956	232	4	for	for	ADP
ejpam-5956	232	5	the	the	DET
ejpam-5956	232	6	defined	define	VERB
ejpam-5956	232	7	operations	operation	NOUN
ejpam-5956	232	8	(	(	PUNCT
ejpam-5956	232	9	∗	∗	NOUN
ejpam-5956	232	10	)	)	PUNCT
ejpam-5956	232	11	and	and	CCONJ
ejpam-5956	232	12	(	(	PUNCT
ejpam-5956	232	13	#	#	NOUN
ejpam-5956	232	14	)	)	PUNCT
ejpam-5956	232	15	,	,	PUNCT
ejpam-5956	232	16	respectively	respectively	ADV
ejpam-5956	232	17	,	,	PUNCT
ejpam-5956	232	18	we	we	PRON
ejpam-5956	232	19	introduce	introduce	VERB
ejpam-5956	232	20	here	here	ADV
ejpam-5956	232	21	these	these	DET
ejpam-5956	232	22	forms	form	NOUN
ejpam-5956	232	23	:	:	PUNCT
ejpam-5956	232	24	w	w	X
ejpam-5956	232	25	(	(	PUNCT
ejpam-5956	232	26	k	k	NOUN
ejpam-5956	232	27	)	)	PUNCT
ejpam-5956	232	28	=	=	SYM
ejpam-5956	232	29	{	{	PUNCT
ejpam-5956	232	30	⟨ξ	⟨ξ	NOUN
ejpam-5956	232	31	,	,	PUNCT
ejpam-5956	232	32	ϵk	ϵk	INTJ
ejpam-5956	232	33	,	,	PUNCT
ejpam-5956	232	34	ϱk	ϱk	NOUN
ejpam-5956	232	35	,	,	PUNCT
ejpam-5956	232	36	𭟋k⟩	𭟋k⟩	X
ejpam-5956	232	37	|ξ	|ξ	AUX
ejpam-5956	232	38	∈	∈	PROPN
ejpam-5956	232	39	ξ	ξ	NOUN
ejpam-5956	232	40	}	}	PUNCT
ejpam-5956	232	41	,	,	PUNCT
ejpam-5956	232	42	z	z	PROPN
ejpam-5956	232	43	(	(	PUNCT
ejpam-5956	232	44	k	k	NOUN
ejpam-5956	232	45	)	)	PUNCT
ejpam-5956	232	46	=	=	SYM
ejpam-5956	232	47	{	{	PUNCT
ejpam-5956	232	48	⟨ξ	⟨ξ	NOUN
ejpam-5956	232	49	,	,	PUNCT
ejpam-5956	232	50	φk	φk	ADP
ejpam-5956	232	51	,	,	PUNCT
ejpam-5956	232	52	ϑk	ϑk	PROPN
ejpam-5956	232	53	,	,	PUNCT
ejpam-5956	232	54	𭟋k⟩	𭟋k⟩	PROPN
ejpam-5956	232	55	|ξ	|ξ	VERB
ejpam-5956	232	56	∈	∈	PROPN
ejpam-5956	232	57	ξ	ξ	PROPN
ejpam-5956	232	58	}	}	PUNCT
ejpam-5956	232	59	dali	dali	PROPN
ejpam-5956	232	60	shi	shi	PROPN
ejpam-5956	232	61	et	et	PROPN
ejpam-5956	232	62	al	al	PROPN
ejpam-5956	232	63	.	.	PUNCT
ejpam-5956	232	64	/	/	SYM
ejpam-5956	232	65	eur	eur	PROPN
ejpam-5956	232	66	.	.	PUNCT
ejpam-5956	233	1	j.	j.	PROPN
ejpam-5956	233	2	pure	pure	PROPN
ejpam-5956	233	3	appl	appl	PROPN
ejpam-5956	233	4	.	.	PROPN
ejpam-5956	233	5	math	math	PROPN
ejpam-5956	233	6	,	,	PUNCT
ejpam-5956	233	7	18	18	NUM
ejpam-5956	233	8	(	(	PUNCT
ejpam-5956	233	9	2	2	NUM
ejpam-5956	233	10	)	)	PUNCT
ejpam-5956	233	11	(	(	PUNCT
ejpam-5956	233	12	2025	2025	NUM
ejpam-5956	233	13	)	)	PUNCT
ejpam-5956	233	14	,	,	PUNCT
ejpam-5956	233	15	5956	5956	NUM
ejpam-5956	233	16	8	8	NUM
ejpam-5956	233	17	of	of	ADP
ejpam-5956	233	18	30	30	NUM
ejpam-5956	233	19	where	where	SCONJ
ejpam-5956	233	20	φk	φk	ADP
ejpam-5956	233	21	=	=	SYM
ejpam-5956	233	22	∏	∏	PROPN
ejpam-5956	233	23	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	233	24	ωk(ξ	ωk(ξ	NUM
ejpam-5956	233	25	)	)	PUNCT
ejpam-5956	233	26	,	,	PUNCT
ejpam-5956	233	27	ϱk	ϱk	NOUN
ejpam-5956	233	28	=	=	SYM
ejpam-5956	233	29	∏	∏	PROPN
ejpam-5956	233	30	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	233	31	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	233	32	)	)	PUNCT
ejpam-5956	233	33	,	,	PUNCT
ejpam-5956	233	34	𭟋k	𭟋k	ADP
ejpam-5956	233	35	=	=	SYM
ejpam-5956	233	36	∏	∏	PROPN
ejpam-5956	233	37	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	233	38	σk(ξ	σk(ξ	NUM
ejpam-5956	233	39	)	)	PUNCT
ejpam-5956	233	40	.	.	PUNCT
ejpam-5956	234	1	these	these	DET
ejpam-5956	234	2	new	new	ADJ
ejpam-5956	234	3	operations	operation	NOUN
ejpam-5956	234	4	are	be	AUX
ejpam-5956	234	5	well	well	ADV
ejpam-5956	234	6	defined	define	VERB
ejpam-5956	234	7	because	because	SCONJ
ejpam-5956	234	8	0	0	NUM
ejpam-5956	234	9	≤	≤	NUM
ejpam-5956	234	10	ϵk	ϵk	ADP
ejpam-5956	234	11	≤	≤	NUM
ejpam-5956	234	12	1	1	NUM
ejpam-5956	234	13	,	,	PUNCT
ejpam-5956	234	14	0	0	NUM
ejpam-5956	234	15	≤	≤	NUM
ejpam-5956	234	16	ϱk	ϱk	ADP
ejpam-5956	234	17	≤	≤	NUM
ejpam-5956	234	18	1	1	NUM
ejpam-5956	234	19	,	,	PUNCT
ejpam-5956	234	20	0	0	NUM
ejpam-5956	234	21	≤	≤	NUM
ejpam-5956	234	22	𭟋k	𭟋k	VERB
ejpam-5956	234	23	≤	≤	NUM
ejpam-5956	234	24	1	1	NUM
ejpam-5956	234	25	,	,	PUNCT
ejpam-5956	234	26	0	0	NUM
ejpam-5956	234	27	≤	≤	NUM
ejpam-5956	234	28	φk	φk	ADP
ejpam-5956	234	29	≤	≤	NUM
ejpam-5956	234	30	1	1	NUM
ejpam-5956	234	31	,	,	PUNCT
ejpam-5956	234	32	0	0	NUM
ejpam-5956	234	33	≤	≤	NUM
ejpam-5956	234	34	ϑk	ϑk	PROPN
ejpam-5956	234	35	≤	≤	ADV
ejpam-5956	234	36	1	1	NUM
ejpam-5956	234	37	,	,	PUNCT
ejpam-5956	234	38	0	0	NUM
ejpam-5956	234	39	≤	≤	NUM
ejpam-5956	234	40	𭟋k	𭟋k	VERB
ejpam-5956	234	41	≤	≤	NUM
ejpam-5956	234	42	1	1	NUM
ejpam-5956	234	43	,	,	PUNCT
ejpam-5956	234	44	0	0	NUM
ejpam-5956	234	45	≤	≤	NUM
ejpam-5956	234	46	ϵk	ϵk	ADP
ejpam-5956	235	1	+	+	CCONJ
ejpam-5956	235	2	ϱk	ϱk	NOUN
ejpam-5956	235	3	+	+	NOUN
ejpam-5956	235	4	𭟋k	𭟋k	INTJ
ejpam-5956	235	5	≤	≤	NUM
ejpam-5956	235	6	ϵk	ϵk	ADP
ejpam-5956	236	1	+	+	CCONJ
ejpam-5956	236	2	ℵk	ℵk	PRON
ejpam-5956	236	3	+	+	CCONJ
ejpam-5956	236	4	κk	κk	VERB
ejpam-5956	236	5	≤	≤	NUM
ejpam-5956	236	6	1	1	NUM
ejpam-5956	236	7	,	,	PUNCT
ejpam-5956	236	8	0	0	NUM
ejpam-5956	236	9	≤	≤	NOUN
ejpam-5956	236	10	φk	φk	ADP
ejpam-5956	236	11	+	+	NUM
ejpam-5956	236	12	ϑk	ϑk	PROPN
ejpam-5956	236	13	+	+	ADJ
ejpam-5956	236	14	𭟋k	𭟋k	PRON
ejpam-5956	236	15	≤	≤	NUM
ejpam-5956	236	16	εk	εk	NOUN
ejpam-5956	236	17	+	+	CCONJ
ejpam-5956	236	18	ϑk	ϑk	PROPN
ejpam-5956	236	19	+	+	CCONJ
ejpam-5956	236	20	κk	κk	VERB
ejpam-5956	236	21	≤	≤	NUM
ejpam-5956	236	22	1	1	NUM
ejpam-5956	236	23	.	.	PUNCT
ejpam-5956	237	1	these	these	DET
ejpam-5956	237	2	operations	operation	NOUN
ejpam-5956	237	3	are	be	AUX
ejpam-5956	237	4	dual	dual	ADJ
ejpam-5956	237	5	to	to	ADP
ejpam-5956	237	6	each	each	DET
ejpam-5956	237	7	other	other	ADJ
ejpam-5956	237	8	.	.	PUNCT
ejpam-5956	238	1	for	for	ADP
ejpam-5956	238	2	k	k	PROPN
ejpam-5956	238	3	∈	∈	PROPN
ejpam-5956	238	4	p	p	X
ejpam-5956	238	5	(	(	PUNCT
ejpam-5956	238	6	♯	♯	PROPN
ejpam-5956	238	7	)	)	PUNCT
ejpam-5956	238	8	,	,	PUNCT
ejpam-5956	238	9	ⅎz	ⅎz	ADP
ejpam-5956	238	10	(	(	PUNCT
ejpam-5956	238	11	ⅎk	ⅎk	NOUN
ejpam-5956	238	12	)	)	PUNCT
ejpam-5956	238	13	=	=	PUNCT
ejpam-5956	238	14	ⅎz	ⅎz	PART
ejpam-5956	238	15	{	{	PUNCT
ejpam-5956	238	16	⟨ξ,ϖk(ξ	⟨ξ,ϖk(ξ	NOUN
ejpam-5956	238	17	)	)	PUNCT
ejpam-5956	238	18	,	,	PUNCT
ejpam-5956	238	19	ωk(ξ	ωk(ξ	NUM
ejpam-5956	238	20	)	)	PUNCT
ejpam-5956	238	21	,	,	PUNCT
ejpam-5956	238	22	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	238	23	|ξ	|ξ	VERB
ejpam-5956	238	24	∈	∈	NOUN
ejpam-5956	238	25	ξ	ξ	NOUN
ejpam-5956	238	26	}	}	PUNCT
ejpam-5956	238	27	=	=	SYM
ejpam-5956	238	28	ⅎ	ⅎ	X
ejpam-5956	238	29	{	{	PUNCT
ejpam-5956	238	30	⟨ξ	⟨ξ	NOUN
ejpam-5956	238	31	,	,	PUNCT
ejpam-5956	238	32	ϱk	ϱk	NOUN
ejpam-5956	238	33	,	,	PUNCT
ejpam-5956	238	34	ϵk	ϵk	INTJ
ejpam-5956	238	35	,	,	PUNCT
ejpam-5956	238	36	𭟋k⟩	𭟋k⟩	X
ejpam-5956	238	37	|ξ	|ξ	AUX
ejpam-5956	238	38	∈	∈	NOUN
ejpam-5956	238	39	ξ	ξ	NOUN
ejpam-5956	238	40	}	}	PUNCT
ejpam-5956	238	41	=	=	SYM
ejpam-5956	238	42	{	{	PUNCT
ejpam-5956	238	43	⟨ξ	⟨ξ	NOUN
ejpam-5956	238	44	,	,	PUNCT
ejpam-5956	238	45	ϵk	ϵk	INTJ
ejpam-5956	238	46	,	,	PUNCT
ejpam-5956	238	47	ϱk	ϱk	NOUN
ejpam-5956	238	48	,	,	PUNCT
ejpam-5956	238	49	𭟋k⟩	𭟋k⟩	X
ejpam-5956	238	50	|ξ	|ξ	AUX
ejpam-5956	238	51	∈	∈	NOUN
ejpam-5956	238	52	ξ	ξ	NOUN
ejpam-5956	238	53	}	}	PUNCT
ejpam-5956	238	54	=	=	SYM
ejpam-5956	238	55	w	w	PROPN
ejpam-5956	238	56	(	(	PUNCT
ejpam-5956	238	57	k	k	NOUN
ejpam-5956	238	58	)	)	PUNCT
ejpam-5956	238	59	,	,	PUNCT
ejpam-5956	238	60	and	and	CCONJ
ejpam-5956	238	61	analogously	analogously	ADV
ejpam-5956	238	62	,	,	PUNCT
ejpam-5956	238	63	ⅎw	ⅎw	PROPN
ejpam-5956	238	64	(	(	PUNCT
ejpam-5956	238	65	ⅎk	ⅎk	NOUN
ejpam-5956	238	66	)	)	PUNCT
ejpam-5956	239	1	=	=	SYM
ejpam-5956	239	2	z	z	NOUN
ejpam-5956	239	3	(	(	PUNCT
ejpam-5956	239	4	k	k	NOUN
ejpam-5956	239	5	)	)	PUNCT
ejpam-5956	239	6	.	.	PUNCT
ejpam-5956	240	1	for	for	ADP
ejpam-5956	240	2	any	any	DET
ejpam-5956	240	3	k	k	PROPN
ejpam-5956	240	4	∈	∈	PROPN
ejpam-5956	240	5	p	p	X
ejpam-5956	240	6	(	(	PUNCT
ejpam-5956	240	7	♯	♯	PROPN
ejpam-5956	240	8	)	)	PUNCT
ejpam-5956	240	9	,	,	PUNCT
ejpam-5956	240	10	we	we	PRON
ejpam-5956	240	11	have	have	VERB
ejpam-5956	240	12	:	:	PUNCT
ejpam-5956	241	1	z	z	NOUN
ejpam-5956	241	2	(	(	PUNCT
ejpam-5956	241	3	k	k	NOUN
ejpam-5956	241	4	)	)	PUNCT
ejpam-5956	241	5	⊆	⊆	NUM
ejpam-5956	241	6	int∪	int∪	NOUN
ejpam-5956	241	7	(	(	PUNCT
ejpam-5956	241	8	k	k	NOUN
ejpam-5956	241	9	)	)	PUNCT
ejpam-5956	241	10	⊆	⊆	NUM
ejpam-5956	241	11	k	k	NOUN
ejpam-5956	241	12	⊆	⊆	NUM
ejpam-5956	241	13	cl∩	cl∩	NOUN
ejpam-5956	241	14	(	(	PUNCT
ejpam-5956	241	15	k	k	NOUN
ejpam-5956	241	16	)	)	PUNCT
ejpam-5956	241	17	⊆	⊆	NUM
ejpam-5956	241	18	w	w	NOUN
ejpam-5956	241	19	(	(	PUNCT
ejpam-5956	241	20	k	k	NOUN
ejpam-5956	241	21	)	)	PUNCT
ejpam-5956	241	22	.	.	PUNCT
ejpam-5956	242	1	let	let	VERB
ejpam-5956	242	2	o	o	NOUN
ejpam-5956	242	3	and	and	CCONJ
ejpam-5956	242	4	q	q	AUX
ejpam-5956	242	5	be	be	AUX
ejpam-5956	242	6	topological	topological	ADJ
ejpam-5956	242	7	operators	operator	NOUN
ejpam-5956	242	8	such	such	ADJ
ejpam-5956	242	9	that	that	PRON
ejpam-5956	242	10	for	for	ADP
ejpam-5956	242	11	each	each	DET
ejpam-5956	242	12	pfs	pfs	PROPN
ejpam-5956	242	13	k	k	PROPN
ejpam-5956	242	14	∈	∈	PROPN
ejpam-5956	242	15	p	p	X
ejpam-5956	242	16	(	(	PUNCT
ejpam-5956	242	17	♯	♯	PROPN
ejpam-5956	242	18	):	):	PUNCT
ejpam-5956	242	19	o	o	PROPN
ejpam-5956	242	20	(	(	PUNCT
ejpam-5956	242	21	k	k	NOUN
ejpam-5956	242	22	)	)	PUNCT
ejpam-5956	242	23	=	=	PRON
ejpam-5956	242	24	ⅎq	ⅎq	X
ejpam-5956	242	25	(	(	PUNCT
ejpam-5956	242	26	ⅎk	ⅎk	PROPN
ejpam-5956	242	27	)	)	PUNCT
ejpam-5956	242	28	,	,	PUNCT
ejpam-5956	242	29	q	q	X
ejpam-5956	242	30	(	(	PUNCT
ejpam-5956	242	31	k	k	NOUN
ejpam-5956	242	32	)	)	PUNCT
ejpam-5956	242	33	=	=	SYM
ejpam-5956	242	34	ⅎo	ⅎo	X
ejpam-5956	242	35	(	(	PUNCT
ejpam-5956	242	36	ⅎk	ⅎk	PROPN
ejpam-5956	242	37	)	)	PUNCT
ejpam-5956	242	38	.	.	PUNCT
ejpam-5956	243	1	let	let	VERB
ejpam-5956	243	2	△	△	NOUN
ejpam-5956	243	3	,	,	PUNCT
ejpam-5956	243	4	▽	▽	NOUN
ejpam-5956	243	5	:	:	PUNCT
ejpam-5956	243	6	p	p	X
ejpam-5956	243	7	(	(	PUNCT
ejpam-5956	243	8	♯)×p	♯)×p	NOUN
ejpam-5956	243	9	(	(	PUNCT
ejpam-5956	243	10	♯	♯	PROPN
ejpam-5956	243	11	)	)	PUNCT
ejpam-5956	243	12	→	→	SYM
ejpam-5956	243	13	p	p	X
ejpam-5956	243	14	(	(	PUNCT
ejpam-5956	243	15	♯	♯	PROPN
ejpam-5956	243	16	)	)	PUNCT
ejpam-5956	243	17	be	be	VERB
ejpam-5956	243	18	operations	operation	NOUN
ejpam-5956	243	19	over	over	ADP
ejpam-5956	243	20	ξ	ξ	PROPN
ejpam-5956	243	21	such	such	ADJ
ejpam-5956	243	22	that	that	PRON
ejpam-5956	243	23	for	for	ADP
ejpam-5956	243	24	any	any	DET
ejpam-5956	243	25	two	two	NUM
ejpam-5956	243	26	k	k	NOUN
ejpam-5956	243	27	,	,	PUNCT
ejpam-5956	243	28	q	q	PROPN
ejpam-5956	243	29	∈	∈	PROPN
ejpam-5956	243	30	p	p	X
ejpam-5956	243	31	(	(	PUNCT
ejpam-5956	243	32	♯	♯	PROPN
ejpam-5956	243	33	)	)	PUNCT
ejpam-5956	243	34	,	,	PUNCT
ejpam-5956	243	35	k	k	X
ejpam-5956	243	36	▽	▽	NOUN
ejpam-5956	243	37	q	q	NOUN
ejpam-5956	243	38	=	=	SYM
ejpam-5956	243	39	ⅎ	ⅎ	X
ejpam-5956	243	40	(	(	PUNCT
ejpam-5956	243	41	ⅎk	ⅎk	PROPN
ejpam-5956	243	42	△	△	X
ejpam-5956	243	43	ⅎ	ⅎ	X
ejpam-5956	243	44	q	q	NOUN
ejpam-5956	243	45	)	)	PUNCT
ejpam-5956	243	46	,	,	PUNCT
ejpam-5956	243	47	k	k	X
ejpam-5956	243	48	△	△	X
ejpam-5956	243	49	q	q	NOUN
ejpam-5956	243	50	=	=	SYM
ejpam-5956	243	51	ⅎ	ⅎ	X
ejpam-5956	243	52	(	(	PUNCT
ejpam-5956	243	53	ⅎk	ⅎk	NOUN
ejpam-5956	243	54	▽	▽	ADJ
ejpam-5956	243	55	ⅎ	ⅎ	X
ejpam-5956	243	56	q	q	NOUN
ejpam-5956	243	57	)	)	PUNCT
ejpam-5956	243	58	.	.	PUNCT
ejpam-5956	244	1	let	let	VERB
ejpam-5956	244	2	◦	◦	NOUN
ejpam-5956	244	3	and	and	CCONJ
ejpam-5956	244	4	•	•	NOUN
ejpam-5956	244	5	:	:	PUNCT
ejpam-5956	244	6	p	p	X
ejpam-5956	244	7	(	(	PUNCT
ejpam-5956	244	8	♯	♯	PROPN
ejpam-5956	244	9	)	)	PUNCT
ejpam-5956	244	10	→	→	SYM
ejpam-5956	244	11	p	p	X
ejpam-5956	244	12	(	(	PUNCT
ejpam-5956	244	13	♯	♯	PROPN
ejpam-5956	244	14	)	)	PUNCT
ejpam-5956	244	15	be	be	VERB
ejpam-5956	244	16	two	two	NUM
ejpam-5956	244	17	modal	modal	ADJ
ejpam-5956	244	18	operators	operator	NOUN
ejpam-5956	244	19	over	over	ADP
ejpam-5956	244	20	ξ	ξ	PROPN
ejpam-5956	244	21	such	such	ADJ
ejpam-5956	244	22	that	that	PRON
ejpam-5956	244	23	for	for	ADP
ejpam-5956	244	24	any	any	DET
ejpam-5956	244	25	k	k	PROPN
ejpam-5956	244	26	∈	∈	PROPN
ejpam-5956	244	27	p	p	X
ejpam-5956	244	28	(	(	PUNCT
ejpam-5956	244	29	♯	♯	PROPN
ejpam-5956	244	30	):	):	PUNCT
ejpam-5956	244	31	◦	◦	NOUN
ejpam-5956	244	32	k	k	NOUN
ejpam-5956	244	33	=	=	X
ejpam-5956	244	34	ⅎ	ⅎ	NOUN
ejpam-5956	244	35	•	•	PRON
ejpam-5956	244	36	(	(	PUNCT
ejpam-5956	244	37	ⅎk	ⅎk	NOUN
ejpam-5956	244	38	)	)	PUNCT
ejpam-5956	244	39	,	,	PUNCT
ejpam-5956	244	40	•k	•k	NOUN
ejpam-5956	244	41	=	=	SYM
ejpam-5956	244	42	ⅎ	ⅎ	PROPN
ejpam-5956	244	43	◦	◦	NOUN
ejpam-5956	244	44	(	(	PUNCT
ejpam-5956	244	45	ⅎk	ⅎk	NOUN
ejpam-5956	244	46	)	)	PUNCT
ejpam-5956	244	47	.	.	PUNCT
ejpam-5956	245	1	in	in	ADP
ejpam-5956	245	2	[	[	X
ejpam-5956	245	3	31	31	NUM
ejpam-5956	245	4	]	]	PUNCT
ejpam-5956	245	5	,	,	PUNCT
ejpam-5956	245	6	atanassov	atanassov	PROPN
ejpam-5956	245	7	investigated	investigate	VERB
ejpam-5956	245	8	(	(	PUNCT
ejpam-5956	245	9	for	for	ADP
ejpam-5956	245	10	ifss	ifss	NOUN
ejpam-5956	245	11	)	)	PUNCT
ejpam-5956	245	12	the	the	DET
ejpam-5956	245	13	notions	notion	NOUN
ejpam-5956	245	14	of	of	ADP
ejpam-5956	245	15	pfmts	pfmts	ADJ
ejpam-5956	245	16	and	and	CCONJ
ejpam-5956	245	17	feeble	feeble	ADJ
ejpam-5956	245	18	pfmts	pfmts	NOUN
ejpam-5956	245	19	(	(	PUNCT
ejpam-5956	245	20	pffmts	pffmts	NOUN
ejpam-5956	245	21	,	,	PUNCT
ejpam-5956	245	22	for	for	ADP
ejpam-5956	245	23	short	short	ADJ
ejpam-5956	245	24	)	)	PUNCT
ejpam-5956	245	25	and	and	CCONJ
ejpam-5956	245	26	,	,	PUNCT
ejpam-5956	245	27	moreover	moreover	ADV
ejpam-5956	245	28	in	in	ADP
ejpam-5956	245	29	[	[	PUNCT
ejpam-5956	245	30	13	13	NUM
ejpam-5956	245	31	]	]	PUNCT
ejpam-5956	245	32	,	,	PUNCT
ejpam-5956	245	33	established	establish	VERB
ejpam-5956	245	34	extensions	extension	NOUN
ejpam-5956	245	35	of	of	ADP
ejpam-5956	245	36	those	those	DET
ejpam-5956	245	37	definitions	definition	NOUN
ejpam-5956	245	38	named	name	VERB
ejpam-5956	245	39	by	by	ADP
ejpam-5956	245	40	cl	cl	NOUN
ejpam-5956	245	41	-	-	PUNCT
ejpam-5956	245	42	cl	cl	NOUN
ejpam-5956	245	43	-	-	PUNCT
ejpam-5956	245	44	pfmts	pfmts	ADJ
ejpam-5956	245	45	,	,	PUNCT
ejpam-5956	245	46	int	int	NOUN
ejpam-5956	245	47	-	-	PUNCT
ejpam-5956	245	48	int	int	NOUN
ejpam-5956	245	49	-	-	PUNCT
ejpam-5956	245	50	pfmts	pfmts	ADJ
ejpam-5956	245	51	,	,	PUNCT
ejpam-5956	245	52	cl	cl	NOUN
ejpam-5956	245	53	-	-	PUNCT
ejpam-5956	245	54	int	int	NOUN
ejpam-5956	245	55	-	-	PUNCT
ejpam-5956	245	56	pfmts	pfmts	NOUN
ejpam-5956	245	57	and	and	CCONJ
ejpam-5956	245	58	int	int	NOUN
ejpam-5956	245	59	-	-	PUNCT
ejpam-5956	245	60	cl	cl	NOUN
ejpam-5956	245	61	-	-	PUNCT
ejpam-5956	245	62	pfmts	pfmts	NOUN
ejpam-5956	245	63	regarding	regard	VERB
ejpam-5956	245	64	the	the	DET
ejpam-5956	245	65	types	type	NOUN
ejpam-5956	245	66	of	of	ADP
ejpam-5956	245	67	the	the	DET
ejpam-5956	245	68	topological	topological	ADJ
ejpam-5956	245	69	operators	operator	NOUN
ejpam-5956	245	70	“	"	PUNCT
ejpam-5956	245	71	closure	closure	NOUN
ejpam-5956	245	72	”	"	PUNCT
ejpam-5956	245	73	and	and	CCONJ
ejpam-5956	245	74	“	"	PUNCT
ejpam-5956	245	75	interior”and	interior”and	VERB
ejpam-5956	245	76	any	any	PRON
ejpam-5956	245	77	of	of	ADP
ejpam-5956	245	78	the	the	DET
ejpam-5956	245	79	given	give	VERB
ejpam-5956	245	80	modal	modal	ADJ
ejpam-5956	245	81	operators	operator	NOUN
ejpam-5956	245	82	.	.	PUNCT
ejpam-5956	246	1	in	in	ADP
ejpam-5956	246	2	similar	similar	ADJ
ejpam-5956	246	3	strategy	strategy	NOUN
ejpam-5956	246	4	,	,	PUNCT
ejpam-5956	246	5	we	we	PRON
ejpam-5956	246	6	will	will	AUX
ejpam-5956	246	7	define	define	VERB
ejpam-5956	246	8	(	(	PUNCT
ejpam-5956	246	9	for	for	ADP
ejpam-5956	246	10	pfss	pfss	NOUN
ejpam-5956	246	11	)	)	PUNCT
ejpam-5956	246	12	four	four	NUM
ejpam-5956	246	13	certain	certain	ADJ
ejpam-5956	246	14	cases	case	NOUN
ejpam-5956	246	15	.	.	PUNCT
ejpam-5956	247	1	theorem	theorem	VERB
ejpam-5956	247	2	2.3	2.3	NUM
ejpam-5956	247	3	.	.	PUNCT
ejpam-5956	248	1	⟨p	⟨p	PROPN
ejpam-5956	248	2	(	(	PUNCT
ejpam-5956	248	3	♯	♯	PROPN
ejpam-5956	248	4	)	)	PUNCT
ejpam-5956	248	5	,	,	PUNCT
ejpam-5956	248	6	w	w	PROPN
ejpam-5956	248	7	,	,	PUNCT
ejpam-5956	248	8	∗,3⟩	∗,3⟩	PROPN
ejpam-5956	248	9	is	be	AUX
ejpam-5956	248	10	a	a	DET
ejpam-5956	248	11	cl	cl	NOUN
ejpam-5956	248	12	-	-	PUNCT
ejpam-5956	248	13	cl	cl	NOUN
ejpam-5956	248	14	-	-	NOUN
ejpam-5956	248	15	pffmts	pffmts	NOUN
ejpam-5956	248	16	for	for	ADP
ejpam-5956	248	17	which	which	PRON
ejpam-5956	248	18	in	in	ADP
ejpam-5956	248	19	conditions	condition	NOUN
ejpam-5956	248	20	cc4	cc4	ADJ
ejpam-5956	248	21	,	,	PUNCT
ejpam-5956	248	22	cc5	cc5	NOUN
ejpam-5956	248	23	and	and	CCONJ
ejpam-5956	248	24	cc9	cc9	NOUN
ejpam-5956	248	25	,	,	PUNCT
ejpam-5956	248	26	the	the	DET
ejpam-5956	248	27	relation	relation	NOUN
ejpam-5956	248	28	“	"	PUNCT
ejpam-5956	248	29	=	=	PRON
ejpam-5956	248	30	”	"	PUNCT
ejpam-5956	248	31	is	be	AUX
ejpam-5956	248	32	changed	change	VERB
ejpam-5956	248	33	to	to	ADP
ejpam-5956	248	34	the	the	DET
ejpam-5956	248	35	relation	relation	NOUN
ejpam-5956	248	36	“	"	PUNCT
ejpam-5956	248	37	⊇	⊇	PROPN
ejpam-5956	248	38	”	"	PUNCT
ejpam-5956	248	39	.	.	PUNCT
ejpam-5956	249	1	proof	proof	NOUN
ejpam-5956	249	2	.	.	PUNCT
ejpam-5956	250	1	let	let	VERB
ejpam-5956	250	2	k	k	NOUN
ejpam-5956	250	3	,	,	PUNCT
ejpam-5956	250	4	q	q	PROPN
ejpam-5956	250	5	∈	∈	PROPN
ejpam-5956	250	6	p	p	X
ejpam-5956	250	7	(	(	PUNCT
ejpam-5956	250	8	♯	♯	PROPN
ejpam-5956	250	9	)	)	PUNCT
ejpam-5956	250	10	.	.	PUNCT
ejpam-5956	251	1	then	then	ADV
ejpam-5956	251	2	,	,	PUNCT
ejpam-5956	251	3	we	we	PRON
ejpam-5956	251	4	check	check	VERB
ejpam-5956	251	5	in	in	ADP
ejpam-5956	251	6	a	a	DET
ejpam-5956	251	7	sequential	sequential	ADJ
ejpam-5956	251	8	manner	manner	NOUN
ejpam-5956	251	9	the	the	DET
ejpam-5956	251	10	validity	validity	NOUN
ejpam-5956	251	11	of	of	ADP
ejpam-5956	251	12	the	the	DET
ejpam-5956	251	13	nine	nine	NUM
ejpam-5956	251	14	conditions	condition	NOUN
ejpam-5956	251	15	cc1	cc1	NOUN
ejpam-5956	251	16	–	–	PUNCT
ejpam-5956	251	17	cc9	cc9	NOUN
ejpam-5956	251	18	.	.	PUNCT
ejpam-5956	252	1	the	the	DET
ejpam-5956	252	2	checks	check	NOUN
ejpam-5956	252	3	of	of	ADP
ejpam-5956	252	4	conditions	condition	NOUN
ejpam-5956	252	5	cc1	cc1	VERB
ejpam-5956	252	6	cc4	cc4	NOUN
ejpam-5956	252	7	are	be	AUX
ejpam-5956	252	8	analogous	analogous	ADJ
ejpam-5956	252	9	,	,	PUNCT
ejpam-5956	252	10	but	but	CCONJ
ejpam-5956	252	11	different	different	ADJ
ejpam-5956	252	12	from	from	ADP
ejpam-5956	252	13	those	those	PRON
ejpam-5956	252	14	in	in	ADP
ejpam-5956	252	15	[	[	X
ejpam-5956	252	16	22	22	NUM
ejpam-5956	252	17	]	]	PUNCT
ejpam-5956	252	18	,	,	PUNCT
ejpam-5956	252	19	while	while	SCONJ
ejpam-5956	252	20	of	of	ADP
ejpam-5956	252	21	cc6	cc6	NOUN
ejpam-5956	252	22	cc8	cc8	NOUN
ejpam-5956	252	23	are	be	AUX
ejpam-5956	252	24	the	the	DET
ejpam-5956	252	25	same	same	ADJ
ejpam-5956	252	26	.	.	PUNCT
ejpam-5956	253	1	we	we	PRON
ejpam-5956	253	2	give	give	VERB
ejpam-5956	253	3	them	they	PRON
ejpam-5956	253	4	only	only	ADV
ejpam-5956	253	5	here	here	ADV
ejpam-5956	253	6	for	for	ADP
ejpam-5956	253	7	completeness	completeness	NOUN
ejpam-5956	253	8	of	of	ADP
ejpam-5956	253	9	the	the	DET
ejpam-5956	253	10	proof	proof	NOUN
ejpam-5956	253	11	.	.	PUNCT
ejpam-5956	254	1	(	(	PUNCT
ejpam-5956	254	2	cc1	cc1	PROPN
ejpam-5956	254	3	)	)	PUNCT
ejpam-5956	254	4	w	w	PROPN
ejpam-5956	255	1	(	(	PUNCT
ejpam-5956	255	2	k	k	X
ejpam-5956	255	3	∗	∗	X
ejpam-5956	255	4	q	q	NOUN
ejpam-5956	255	5	)	)	PUNCT
ejpam-5956	255	6	=	=	SYM
ejpam-5956	255	7	w	w	X
ejpam-5956	255	8	(	(	PUNCT
ejpam-5956	255	9	{	{	PUNCT
ejpam-5956	255	10	⟨ξ	⟨ξ	NOUN
ejpam-5956	255	11	,	,	PUNCT
ejpam-5956	255	12	ωk(ξ	ωk(ξ	NUM
ejpam-5956	255	13	)	)	PUNCT
ejpam-5956	255	14	∨	∨	NUM
ejpam-5956	255	15	ω	ω	NUM
ejpam-5956	255	16	q(ξ	q(ξ	PROPN
ejpam-5956	255	17	)	)	PUNCT
ejpam-5956	255	18	,	,	PUNCT
ejpam-5956	255	19	ϖk(ξ).ϖ	ϖk(ξ).ϖ	PROPN
ejpam-5956	255	20	q(ξ	q(ξ	PROPN
ejpam-5956	255	21	)	)	PUNCT
ejpam-5956	255	22	,	,	PUNCT
ejpam-5956	255	23	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	255	24	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	255	25	|ξ	|ξ	AUX
ejpam-5956	255	26	∈	∈	NOUN
ejpam-5956	255	27	ξ	ξ	NOUN
ejpam-5956	255	28	}	}	PUNCT
ejpam-5956	255	29	)	)	PUNCT
ejpam-5956	255	30	=	=	PRON
ejpam-5956	255	31	{	{	PUNCT
ejpam-5956	255	32	〈	〈	PROPN
ejpam-5956	255	33	ξ	ξ	PROPN
ejpam-5956	255	34	,	,	PUNCT
ejpam-5956	255	35	∨	∨	NOUN
ejpam-5956	255	36	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	255	37	(	(	PUNCT
ejpam-5956	255	38	ωk(ξ	ωk(ξ	NUM
ejpam-5956	255	39	)	)	PUNCT
ejpam-5956	255	40	∨	∨	NUM
ejpam-5956	255	41	ω	ω	NUM
ejpam-5956	255	42	q(ξ	q(ξ	PROPN
ejpam-5956	255	43	)	)	PUNCT
ejpam-5956	255	44	)	)	PUNCT
ejpam-5956	255	45	,	,	PUNCT
ejpam-5956	255	46	∏	∏	NUM
ejpam-5956	255	47	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	255	48	(	(	PUNCT
ejpam-5956	255	49	ϖk(ξ).ϖ	ϖk(ξ).ϖ	PROPN
ejpam-5956	255	50	q(ξ	q(ξ	PROPN
ejpam-5956	255	51	)	)	PUNCT
ejpam-5956	255	52	)	)	PUNCT
ejpam-5956	255	53	,	,	PUNCT
ejpam-5956	255	54	∏	∏	NUM
ejpam-5956	255	55	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	255	56	(	(	PUNCT
ejpam-5956	255	57	σk(ξ).σ	σk(ξ).σ	NOUN
ejpam-5956	255	58	q(ξ	q(ξ	ADJ
ejpam-5956	255	59	)	)	PUNCT
ejpam-5956	255	60	)	)	PUNCT
ejpam-5956	255	61	〉	〉	NOUN
ejpam-5956	255	62	|ξ	|ξ	VERB
ejpam-5956	255	63	∈	∈	PROPN
ejpam-5956	255	64	ξ	ξ	PROPN
ejpam-5956	255	65	}	}	PUNCT
ejpam-5956	255	66	dali	dali	PROPN
ejpam-5956	255	67	shi	shi	PROPN
ejpam-5956	255	68	et	et	PROPN
ejpam-5956	255	69	al	al	PROPN
ejpam-5956	255	70	.	.	PUNCT
ejpam-5956	255	71	/	/	SYM
ejpam-5956	255	72	eur	eur	PROPN
ejpam-5956	255	73	.	.	PUNCT
ejpam-5956	256	1	j.	j.	PROPN
ejpam-5956	256	2	pure	pure	PROPN
ejpam-5956	256	3	appl	appl	PROPN
ejpam-5956	256	4	.	.	PROPN
ejpam-5956	256	5	math	math	PROPN
ejpam-5956	256	6	,	,	PUNCT
ejpam-5956	256	7	18	18	NUM
ejpam-5956	256	8	(	(	PUNCT
ejpam-5956	256	9	2	2	NUM
ejpam-5956	256	10	)	)	PUNCT
ejpam-5956	256	11	(	(	PUNCT
ejpam-5956	256	12	2025	2025	NUM
ejpam-5956	256	13	)	)	PUNCT
ejpam-5956	256	14	,	,	PUNCT
ejpam-5956	256	15	5956	5956	NUM
ejpam-5956	256	16	9	9	NUM
ejpam-5956	256	17	of	of	ADP
ejpam-5956	256	18	30	30	NUM
ejpam-5956	256	19	=	=	SYM
ejpam-5956	256	20	{	{	PUNCT
ejpam-5956	256	21	⟨ξ	⟨ξ	NOUN
ejpam-5956	256	22	,	,	PUNCT
ejpam-5956	256	23	ϵk	ϵk	ADP
ejpam-5956	256	24	∨	∨	NUM
ejpam-5956	256	25	ϵ	ϵ	X
ejpam-5956	256	26	q	q	X
ejpam-5956	256	27	,	,	PUNCT
ejpam-5956	256	28	ϱk	ϱk	ADP
ejpam-5956	256	29	.ϱ	.ϱ	PROPN
ejpam-5956	256	30	q	q	X
ejpam-5956	256	31	,	,	PUNCT
ejpam-5956	256	32	𭟋k	𭟋k	INTJ
ejpam-5956	256	33	.𭟋	.𭟋	NOUN
ejpam-5956	256	34	q⟩	q⟩	PROPN
ejpam-5956	256	35	|ξ	|ξ	AUX
ejpam-5956	256	36	∈	∈	PROPN
ejpam-5956	256	37	ξ	ξ	NOUN
ejpam-5956	256	38	}	}	PUNCT
ejpam-5956	256	39	=	=	SYM
ejpam-5956	256	40	{	{	PUNCT
ejpam-5956	256	41	⟨ξ	⟨ξ	NOUN
ejpam-5956	256	42	,	,	PUNCT
ejpam-5956	256	43	ϵk	ϵk	INTJ
ejpam-5956	256	44	,	,	PUNCT
ejpam-5956	256	45	ϱk	ϱk	NOUN
ejpam-5956	256	46	,	,	PUNCT
ejpam-5956	256	47	𭟋k⟩	𭟋k⟩	X
ejpam-5956	256	48	|ξ	|ξ	VERB
ejpam-5956	256	49	∈	∈	PROPN
ejpam-5956	256	50	ξ	ξ	PROPN
ejpam-5956	256	51	}	}	PUNCT
ejpam-5956	256	52	∗	∗	NOUN
ejpam-5956	256	53	{	{	PUNCT
ejpam-5956	256	54	⟨ξ	⟨ξ	NOUN
ejpam-5956	256	55	,	,	PUNCT
ejpam-5956	256	56	ϵ	ϵ	X
ejpam-5956	256	57	q	q	X
ejpam-5956	256	58	,	,	PUNCT
ejpam-5956	256	59	ϱ	ϱ	ADP
ejpam-5956	256	60	q	q	X
ejpam-5956	256	61	,	,	PUNCT
ejpam-5956	256	62	𭟋	𭟋	ADP
ejpam-5956	256	63	q⟩	q⟩	NOUN
ejpam-5956	256	64	|ξ	|ξ	AUX
ejpam-5956	256	65	∈	∈	PROPN
ejpam-5956	256	66	ξ	ξ	NOUN
ejpam-5956	256	67	}	}	PUNCT
ejpam-5956	256	68	=	=	SYM
ejpam-5956	256	69	w	w	PROPN
ejpam-5956	256	70	(	(	PUNCT
ejpam-5956	256	71	k	k	NOUN
ejpam-5956	256	72	)	)	PUNCT
ejpam-5956	256	73	∗w	∗w	NOUN
ejpam-5956	256	74	(	(	PUNCT
ejpam-5956	256	75	q	q	NOUN
ejpam-5956	256	76	)	)	PUNCT
ejpam-5956	256	77	,	,	PUNCT
ejpam-5956	256	78	(	(	PUNCT
ejpam-5956	256	79	cc2	cc2	NOUN
ejpam-5956	256	80	)	)	PUNCT
ejpam-5956	256	81	k	k	NOUN
ejpam-5956	257	1	=	=	PUNCT
ejpam-5956	257	2	{	{	PUNCT
ejpam-5956	257	3	⟨ξ	⟨ξ	NOUN
ejpam-5956	257	4	,	,	PUNCT
ejpam-5956	257	5	ωk(ξ	ωk(ξ	NUM
ejpam-5956	257	6	)	)	PUNCT
ejpam-5956	257	7	,	,	PUNCT
ejpam-5956	257	8	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	257	9	)	)	PUNCT
ejpam-5956	257	10	,	,	PUNCT
ejpam-5956	257	11	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	257	12	|ξ	|ξ	VERB
ejpam-5956	257	13	∈	∈	NOUN
ejpam-5956	257	14	ξ	ξ	NOUN
ejpam-5956	257	15	}	}	PUNCT
ejpam-5956	257	16	⊆	⊆	NUM
ejpam-5956	257	17	{	{	PUNCT
ejpam-5956	257	18	⟨ξ	⟨ξ	NOUN
ejpam-5956	257	19	,	,	PUNCT
ejpam-5956	257	20	ϵk	ϵk	INTJ
ejpam-5956	257	21	,	,	PUNCT
ejpam-5956	257	22	ϱk	ϱk	NOUN
ejpam-5956	257	23	,	,	PUNCT
ejpam-5956	257	24	𭟋k⟩	𭟋k⟩	X
ejpam-5956	257	25	|ξ	|ξ	AUX
ejpam-5956	257	26	∈	∈	NOUN
ejpam-5956	257	27	ξ	ξ	NOUN
ejpam-5956	257	28	}	}	PUNCT
ejpam-5956	257	29	=	=	SYM
ejpam-5956	257	30	w	w	PROPN
ejpam-5956	257	31	(	(	PUNCT
ejpam-5956	257	32	k	k	NOUN
ejpam-5956	257	33	)	)	PUNCT
ejpam-5956	257	34	,	,	PUNCT
ejpam-5956	257	35	(	(	PUNCT
ejpam-5956	257	36	cc3	cc3	PROPN
ejpam-5956	257	37	)	)	PUNCT
ejpam-5956	257	38	w	w	PROPN
ejpam-5956	257	39	(	(	PUNCT
ejpam-5956	257	40	♭	♭	INTJ
ejpam-5956	257	41	)	)	PUNCT
ejpam-5956	258	1	=	=	SYM
ejpam-5956	258	2	w	w	X
ejpam-5956	258	3	(	(	PUNCT
ejpam-5956	258	4	{	{	PUNCT
ejpam-5956	258	5	⟨ξ	⟨ξ	NOUN
ejpam-5956	258	6	,	,	PUNCT
ejpam-5956	258	7	0	0	NUM
ejpam-5956	258	8	,	,	PUNCT
ejpam-5956	258	9	1	1	NUM
ejpam-5956	258	10	,	,	PUNCT
ejpam-5956	258	11	0⟩	0⟩	PROPN
ejpam-5956	258	12	|ξ	|ξ	VERB
ejpam-5956	258	13	∈	∈	PROPN
ejpam-5956	258	14	ξ	ξ	NOUN
ejpam-5956	258	15	}	}	PUNCT
ejpam-5956	258	16	)	)	PUNCT
ejpam-5956	259	1	=	=	PRON
ejpam-5956	259	2	{	{	PUNCT
ejpam-5956	259	3	〈	〈	PROPN
ejpam-5956	259	4	ξ	ξ	PROPN
ejpam-5956	259	5	,	,	PUNCT
ejpam-5956	259	6	∨	∨	NOUN
ejpam-5956	259	7	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	259	8	0	0	NUM
ejpam-5956	259	9	,	,	PUNCT
ejpam-5956	259	10	∏	∏	PROPN
ejpam-5956	259	11	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	259	12	1	1	NUM
ejpam-5956	259	13	,	,	PUNCT
ejpam-5956	259	14	∏	∏	NUM
ejpam-5956	259	15	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	259	16	0	0	NUM
ejpam-5956	259	17	〉	〉	NOUN
ejpam-5956	259	18	|ξ	|ξ	VERB
ejpam-5956	259	19	∈	∈	NOUN
ejpam-5956	259	20	ξ	ξ	NOUN
ejpam-5956	259	21	}	}	PUNCT
ejpam-5956	259	22	=	=	SYM
ejpam-5956	259	23	{	{	PUNCT
ejpam-5956	259	24	⟨ξ	⟨ξ	NOUN
ejpam-5956	259	25	,	,	PUNCT
ejpam-5956	259	26	0	0	NUM
ejpam-5956	259	27	,	,	PUNCT
ejpam-5956	259	28	1	1	NUM
ejpam-5956	259	29	,	,	PUNCT
ejpam-5956	259	30	0⟩	0⟩	PROPN
ejpam-5956	259	31	|ξ	|ξ	VERB
ejpam-5956	259	32	∈	∈	PROPN
ejpam-5956	259	33	ξ	ξ	NOUN
ejpam-5956	259	34	}	}	PUNCT
ejpam-5956	259	35	=	=	SYM
ejpam-5956	259	36	♭	♭	PROPN
ejpam-5956	259	37	,	,	PUNCT
ejpam-5956	259	38	(	(	PUNCT
ejpam-5956	259	39	cc4	cc4	NOUN
ejpam-5956	259	40	)	)	PUNCT
ejpam-5956	259	41	w	w	PROPN
ejpam-5956	260	1	(	(	PUNCT
ejpam-5956	260	2	w	w	PROPN
ejpam-5956	260	3	(	(	PUNCT
ejpam-5956	260	4	k	k	NOUN
ejpam-5956	260	5	)	)	PUNCT
ejpam-5956	260	6	)	)	PUNCT
ejpam-5956	261	1	=	=	SYM
ejpam-5956	261	2	w	w	X
ejpam-5956	261	3	(	(	PUNCT
ejpam-5956	261	4	{	{	PUNCT
ejpam-5956	261	5	⟨ξ	⟨ξ	NOUN
ejpam-5956	261	6	,	,	PUNCT
ejpam-5956	261	7	ϵk	ϵk	INTJ
ejpam-5956	261	8	,	,	PUNCT
ejpam-5956	261	9	ϱk	ϱk	NOUN
ejpam-5956	261	10	,	,	PUNCT
ejpam-5956	261	11	𭟋k⟩	𭟋k⟩	X
ejpam-5956	261	12	|ξ	|ξ	AUX
ejpam-5956	261	13	∈	∈	PROPN
ejpam-5956	261	14	ξ	ξ	NOUN
ejpam-5956	261	15	}	}	PUNCT
ejpam-5956	261	16	)	)	PUNCT
ejpam-5956	261	17	=	=	PRON
ejpam-5956	261	18	{	{	PUNCT
ejpam-5956	261	19	〈	〈	PROPN
ejpam-5956	261	20	ξ	ξ	PROPN
ejpam-5956	261	21	,	,	PUNCT
ejpam-5956	261	22	∨	∨	NUM
ejpam-5956	262	1	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	262	2	ϵk	ϵk	X
ejpam-5956	262	3	,	,	PUNCT
ejpam-5956	262	4	∏	∏	PROPN
ejpam-5956	262	5	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	262	6	ϱk	ϱk	NOUN
ejpam-5956	262	7	,	,	PUNCT
ejpam-5956	262	8	∏	∏	PROPN
ejpam-5956	262	9	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	262	10	𭟋k	𭟋k	ADP
ejpam-5956	262	11	〉	〉	NOUN
ejpam-5956	262	12	|ξ	|ξ	X
ejpam-5956	262	13	∈	∈	NOUN
ejpam-5956	262	14	ξ	ξ	NOUN
ejpam-5956	262	15	}	}	PUNCT
ejpam-5956	262	16	=	=	SYM
ejpam-5956	262	17	{	{	PUNCT
ejpam-5956	262	18	〈	〈	PROPN
ejpam-5956	262	19	ξ	ξ	PROPN
ejpam-5956	262	20	,	,	PUNCT
ejpam-5956	262	21	ϵk	ϵk	INTJ
ejpam-5956	262	22	,	,	PUNCT
ejpam-5956	262	23	(	(	PUNCT
ejpam-5956	262	24	ϱk	ϱk	NOUN
ejpam-5956	262	25	)	)	PUNCT
ejpam-5956	262	26	e	e	NOUN
ejpam-5956	262	27	,	,	PUNCT
ejpam-5956	262	28	(	(	PUNCT
ejpam-5956	262	29	𭟋k	𭟋k	INTJ
ejpam-5956	262	30	)	)	PUNCT
ejpam-5956	262	31	e	e	NOUN
ejpam-5956	262	32	〉	〉	NOUN
ejpam-5956	262	33	|ξ	|ξ	VERB
ejpam-5956	262	34	∈	∈	PROPN
ejpam-5956	262	35	ξ	ξ	PROPN
ejpam-5956	262	36	}	}	PUNCT
ejpam-5956	262	37	⊇	⊇	X
ejpam-5956	262	38	{	{	PUNCT
ejpam-5956	262	39	⟨ξ	⟨ξ	NOUN
ejpam-5956	262	40	,	,	PUNCT
ejpam-5956	262	41	ϵk	ϵk	INTJ
ejpam-5956	262	42	,	,	PUNCT
ejpam-5956	262	43	ϱk	ϱk	NOUN
ejpam-5956	262	44	,	,	PUNCT
ejpam-5956	262	45	𭟋k⟩	𭟋k⟩	X
ejpam-5956	262	46	|ξ	|ξ	AUX
ejpam-5956	262	47	∈	∈	NOUN
ejpam-5956	262	48	ξ	ξ	NOUN
ejpam-5956	262	49	}	}	PUNCT
ejpam-5956	262	50	=	=	SYM
ejpam-5956	262	51	w	w	PROPN
ejpam-5956	262	52	(	(	PUNCT
ejpam-5956	262	53	k	k	NOUN
ejpam-5956	262	54	)	)	PUNCT
ejpam-5956	262	55	,	,	PUNCT
ejpam-5956	262	56	(	(	PUNCT
ejpam-5956	262	57	cc5	cc5	PROPN
ejpam-5956	262	58	)	)	PUNCT
ejpam-5956	262	59	3	3	NUM
ejpam-5956	262	60	(	(	PUNCT
ejpam-5956	262	61	k	k	X
ejpam-5956	262	62	∗	∗	X
ejpam-5956	262	63	q	q	NOUN
ejpam-5956	262	64	)	)	PUNCT
ejpam-5956	262	65	=	=	SYM
ejpam-5956	262	66	3	3	NUM
ejpam-5956	262	67	(	(	PUNCT
ejpam-5956	262	68	{	{	PUNCT
ejpam-5956	262	69	⟨ξ	⟨ξ	NOUN
ejpam-5956	262	70	,	,	PUNCT
ejpam-5956	262	71	ωk(ξ	ωk(ξ	NUM
ejpam-5956	262	72	)	)	PUNCT
ejpam-5956	262	73	∨	∨	NUM
ejpam-5956	262	74	ω	ω	NUM
ejpam-5956	262	75	q(ξ	q(ξ	PROPN
ejpam-5956	262	76	)	)	PUNCT
ejpam-5956	262	77	,	,	PUNCT
ejpam-5956	262	78	ϖk(ξ).ϖ	ϖk(ξ).ϖ	PROPN
ejpam-5956	262	79	q(ξ	q(ξ	PROPN
ejpam-5956	262	80	)	)	PUNCT
ejpam-5956	262	81	,	,	PUNCT
ejpam-5956	262	82	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	262	83	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	262	84	|ξ	|ξ	AUX
ejpam-5956	262	85	∈	∈	NOUN
ejpam-5956	262	86	ξ	ξ	NOUN
ejpam-5956	262	87	}	}	PUNCT
ejpam-5956	262	88	)	)	PUNCT
ejpam-5956	262	89	=	=	SYM
ejpam-5956	262	90	{	{	PUNCT
ejpam-5956	262	91	⟨ξ	⟨ξ	PROPN
ejpam-5956	262	92	,	,	PUNCT
ejpam-5956	262	93	1−ϖk(ξ).ϖ	1−ϖk(ξ).ϖ	VERB
ejpam-5956	262	94	q(ξ)−	q(ξ)−	PROPN
ejpam-5956	262	95	σk(ξ).σ	σk(ξ).σ	PROPN
ejpam-5956	262	96	q	q	PROPN
ejpam-5956	262	97	(	(	PUNCT
ejpam-5956	262	98	ξ	ξ	NOUN
ejpam-5956	262	99	)	)	PUNCT
ejpam-5956	262	100	,	,	PUNCT
ejpam-5956	262	101	ϖk(ξ).ϖ	ϖk(ξ).ϖ	PROPN
ejpam-5956	262	102	q(ξ	q(ξ	PROPN
ejpam-5956	262	103	)	)	PUNCT
ejpam-5956	262	104	,	,	PUNCT
ejpam-5956	262	105	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	262	106	q⟩	q⟩	NUM
ejpam-5956	262	107	|ξ	|ξ	X
ejpam-5956	262	108	∈	∈	PROPN
ejpam-5956	262	109	ξ	ξ	PROPN
ejpam-5956	262	110	}	}	PUNCT
ejpam-5956	262	111	⊇	⊇	X
ejpam-5956	262	112	{	{	PUNCT
ejpam-5956	262	113	⟨ξ	⟨ξ	NOUN
ejpam-5956	262	114	,	,	PUNCT
ejpam-5956	262	115	1−	1−	NUM
ejpam-5956	262	116	(	(	PUNCT
ejpam-5956	262	117	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	262	118	)	)	PUNCT
ejpam-5956	262	119	∧ϖ	∧ϖ	PROPN
ejpam-5956	262	120	q(ξ))−	q(ξ))−	ADV
ejpam-5956	262	121	(	(	PUNCT
ejpam-5956	262	122	σk(ξ	σk(ξ	NUM
ejpam-5956	262	123	)	)	PUNCT
ejpam-5956	262	124	∧	∧	PROPN
ejpam-5956	262	125	σ	σ	PROPN
ejpam-5956	262	126	q(ξ	q(ξ	PROPN
ejpam-5956	262	127	)	)	PUNCT
ejpam-5956	262	128	)	)	PUNCT
ejpam-5956	262	129	,	,	PUNCT
ejpam-5956	262	130	ϖk(ξ).ϖ	ϖk(ξ).ϖ	PROPN
ejpam-5956	262	131	q(ξ	q(ξ	PROPN
ejpam-5956	262	132	)	)	PUNCT
ejpam-5956	262	133	,	,	PUNCT
ejpam-5956	262	134	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	262	135	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	262	136	|ξ	|ξ	VERB
ejpam-5956	262	137	∈	∈	NOUN
ejpam-5956	262	138	ξ	ξ	PROPN
ejpam-5956	262	139	}	}	PUNCT
ejpam-5956	262	140	⊇	⊇	X
ejpam-5956	262	141	{	{	PUNCT
ejpam-5956	262	142	⟨ξ	⟨ξ	NOUN
ejpam-5956	262	143	,	,	PUNCT
ejpam-5956	262	144	(	(	PUNCT
ejpam-5956	262	145	1−ϖk(ξ)−	1−ϖk(ξ)−	NUM
ejpam-5956	262	146	σk(ξ	σk(ξ	NUM
ejpam-5956	262	147	)	)	PUNCT
ejpam-5956	262	148	)	)	PUNCT
ejpam-5956	262	149	∨	∨	NUM
ejpam-5956	262	150	(	(	PUNCT
ejpam-5956	262	151	1−ϖ	1−ϖ	NUM
ejpam-5956	262	152	q	q	NOUN
ejpam-5956	262	153	(	(	PUNCT
ejpam-5956	262	154	ξ)−	ξ)−	PROPN
ejpam-5956	262	155	σ	σ	PROPN
ejpam-5956	262	156	q(ξ	q(ξ	PROPN
ejpam-5956	262	157	)	)	PUNCT
ejpam-5956	262	158	)	)	PUNCT
ejpam-5956	262	159	,	,	PUNCT
ejpam-5956	262	160	ϖk(ξ).ϖ	ϖk(ξ).ϖ	PROPN
ejpam-5956	262	161	q(ξ	q(ξ	PROPN
ejpam-5956	262	162	)	)	PUNCT
ejpam-5956	262	163	,	,	PUNCT
ejpam-5956	262	164	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	262	165	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	262	166	|ξ	|ξ	AUX
ejpam-5956	262	167	∈	∈	NOUN
ejpam-5956	262	168	ξ	ξ	NOUN
ejpam-5956	262	169	}	}	PUNCT
ejpam-5956	262	170	=	=	SYM
ejpam-5956	262	171	{	{	PUNCT
ejpam-5956	262	172	⟨ξ	⟨ξ	NOUN
ejpam-5956	262	173	,	,	PUNCT
ejpam-5956	262	174	1−ϖk(ξ)−	1−ϖk(ξ)−	NUM
ejpam-5956	262	175	σk(ξ	σk(ξ	NUM
ejpam-5956	262	176	)	)	PUNCT
ejpam-5956	262	177	,	,	PUNCT
ejpam-5956	262	178	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	262	179	)	)	PUNCT
ejpam-5956	262	180	,	,	PUNCT
ejpam-5956	262	181	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	262	182	|ξ	|ξ	VERB
ejpam-5956	262	183	∈	∈	NOUN
ejpam-5956	262	184	ξ	ξ	PROPN
ejpam-5956	262	185	}	}	PUNCT
ejpam-5956	262	186	∗	∗	NOUN
ejpam-5956	262	187	{	{	PUNCT
ejpam-5956	262	188	⟨ξ	⟨ξ	NOUN
ejpam-5956	262	189	,	,	PUNCT
ejpam-5956	262	190	1−ϖ	1−ϖ	NUM
ejpam-5956	262	191	q(ξ)−	q(ξ)−	PROPN
ejpam-5956	262	192	σ	σ	PROPN
ejpam-5956	262	193	q(ξ	q(ξ	PROPN
ejpam-5956	262	194	)	)	PUNCT
ejpam-5956	262	195	,	,	PUNCT
ejpam-5956	262	196	ϖ	ϖ	PROPN
ejpam-5956	262	197	q	q	X
ejpam-5956	262	198	,	,	PUNCT
ejpam-5956	262	199	σ	σ	PROPN
ejpam-5956	262	200	q(ξ)⟩	q(ξ)⟩	PROPN
ejpam-5956	262	201	|	|	NOUN
ejpam-5956	262	202	ξ	ξ	PROPN
ejpam-5956	262	203	∈	∈	PROPN
ejpam-5956	262	204	ξ	ξ	X
ejpam-5956	262	205	}	}	PUNCT
ejpam-5956	262	206	=	=	SYM
ejpam-5956	262	207	3	3	NUM
ejpam-5956	262	208	(	(	PUNCT
ejpam-5956	262	209	k	k	NOUN
ejpam-5956	262	210	)	)	PUNCT
ejpam-5956	262	211	∗3	∗3	PROPN
ejpam-5956	262	212	(	(	PUNCT
ejpam-5956	262	213	q	q	NOUN
ejpam-5956	262	214	)	)	PUNCT
ejpam-5956	262	215	,	,	PUNCT
ejpam-5956	262	216	(	(	PUNCT
ejpam-5956	262	217	cc6	cc6	NOUN
ejpam-5956	262	218	)	)	PUNCT
ejpam-5956	262	219	k	k	X
ejpam-5956	263	1	=	=	PUNCT
ejpam-5956	263	2	{	{	PUNCT
ejpam-5956	263	3	⟨ξ	⟨ξ	NOUN
ejpam-5956	263	4	,	,	PUNCT
ejpam-5956	263	5	ωk(ξ	ωk(ξ	NUM
ejpam-5956	263	6	)	)	PUNCT
ejpam-5956	263	7	,	,	PUNCT
ejpam-5956	263	8	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	263	9	)	)	PUNCT
ejpam-5956	263	10	,	,	PUNCT
ejpam-5956	263	11	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	263	12	|ξ	|ξ	VERB
ejpam-5956	263	13	∈	∈	NOUN
ejpam-5956	263	14	ξ	ξ	NOUN
ejpam-5956	263	15	}	}	PUNCT
ejpam-5956	263	16	⊆	⊆	NUM
ejpam-5956	263	17	{	{	PUNCT
ejpam-5956	263	18	⟨ξ	⟨ξ	NOUN
ejpam-5956	263	19	,	,	PUNCT
ejpam-5956	263	20	1−ϖk(ξ)−	1−ϖk(ξ)−	NUM
ejpam-5956	263	21	σk(ξ	σk(ξ	NUM
ejpam-5956	263	22	)	)	PUNCT
ejpam-5956	263	23	,	,	PUNCT
ejpam-5956	263	24	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	263	25	)	)	PUNCT
ejpam-5956	263	26	,	,	PUNCT
ejpam-5956	263	27	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	263	28	|	|	NOUN
ejpam-5956	263	29	ξ	ξ	PROPN
ejpam-5956	263	30	∈	∈	PROPN
ejpam-5956	263	31	ξ	ξ	X
ejpam-5956	263	32	}	}	PUNCT
ejpam-5956	263	33	=	=	SYM
ejpam-5956	263	34	3	3	NUM
ejpam-5956	263	35	(	(	PUNCT
ejpam-5956	263	36	k	k	NOUN
ejpam-5956	263	37	)	)	PUNCT
ejpam-5956	263	38	,	,	PUNCT
ejpam-5956	263	39	(	(	PUNCT
ejpam-5956	263	40	cc7	cc7	X
ejpam-5956	263	41	)	)	PUNCT
ejpam-5956	263	42	3	3	NUM
ejpam-5956	263	43	(	(	PUNCT
ejpam-5956	263	44	♯	♯	PROPN
ejpam-5956	263	45	)	)	PUNCT
ejpam-5956	263	46	=	=	SYM
ejpam-5956	264	1	3({⟨ξ	3({⟨ξ	NUM
ejpam-5956	264	2	,	,	PUNCT
ejpam-5956	264	3	1	1	NUM
ejpam-5956	264	4	,	,	PUNCT
ejpam-5956	264	5	0	0	NUM
ejpam-5956	264	6	,	,	PUNCT
ejpam-5956	264	7	0⟩	0⟩	PROPN
ejpam-5956	264	8	|ξ	|ξ	VERB
ejpam-5956	264	9	∈	∈	PROPN
ejpam-5956	264	10	ξ	ξ	NOUN
ejpam-5956	264	11	}	}	PUNCT
ejpam-5956	264	12	)	)	PUNCT
ejpam-5956	264	13	=	=	SYM
ejpam-5956	264	14	{	{	PUNCT
ejpam-5956	264	15	⟨ξ	⟨ξ	NOUN
ejpam-5956	264	16	,	,	PUNCT
ejpam-5956	264	17	1	1	NUM
ejpam-5956	264	18	,	,	PUNCT
ejpam-5956	264	19	0	0	NUM
ejpam-5956	264	20	,	,	PUNCT
ejpam-5956	264	21	0⟩	0⟩	PROPN
ejpam-5956	264	22	|ξ	|ξ	VERB
ejpam-5956	264	23	∈	∈	PROPN
ejpam-5956	264	24	ξ	ξ	NOUN
ejpam-5956	264	25	}	}	PUNCT
ejpam-5956	264	26	=	=	SYM
ejpam-5956	264	27	♯	♯	PROPN
ejpam-5956	264	28	,	,	PUNCT
ejpam-5956	264	29	(	(	PUNCT
ejpam-5956	264	30	cc8	cc8	NOUN
ejpam-5956	264	31	)	)	PUNCT
ejpam-5956	264	32	3	3	NUM
ejpam-5956	264	33	(	(	PUNCT
ejpam-5956	264	34	3	3	NUM
ejpam-5956	264	35	(	(	PUNCT
ejpam-5956	264	36	k	k	NOUN
ejpam-5956	264	37	)	)	PUNCT
ejpam-5956	264	38	)	)	PUNCT
ejpam-5956	265	1	=	=	SYM
ejpam-5956	265	2	3	3	X
ejpam-5956	265	3	(	(	PUNCT
ejpam-5956	265	4	{	{	PUNCT
ejpam-5956	265	5	⟨ξ	⟨ξ	NOUN
ejpam-5956	265	6	,	,	PUNCT
ejpam-5956	265	7	1−ϖk(ξ)−	1−ϖk(ξ)−	NUM
ejpam-5956	265	8	σk(ξ	σk(ξ	NUM
ejpam-5956	265	9	)	)	PUNCT
ejpam-5956	265	10	,	,	PUNCT
ejpam-5956	265	11	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	265	12	)	)	PUNCT
ejpam-5956	265	13	,	,	PUNCT
ejpam-5956	265	14	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	265	15	|ξ	|ξ	VERB
ejpam-5956	265	16	∈	∈	NOUN
ejpam-5956	265	17	ξ	ξ	NOUN
ejpam-5956	265	18	}	}	PUNCT
ejpam-5956	265	19	)	)	PUNCT
ejpam-5956	265	20	=	=	SYM
ejpam-5956	265	21	{	{	PUNCT
ejpam-5956	265	22	⟨ξ	⟨ξ	NOUN
ejpam-5956	265	23	,	,	PUNCT
ejpam-5956	265	24	1−ϖk(ξ)−	1−ϖk(ξ)−	NUM
ejpam-5956	265	25	σk(ξ	σk(ξ	NUM
ejpam-5956	265	26	)	)	PUNCT
ejpam-5956	265	27	,	,	PUNCT
ejpam-5956	265	28	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	265	29	)	)	PUNCT
ejpam-5956	265	30	,	,	PUNCT
ejpam-5956	265	31	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	265	32	|ξ	|ξ	VERB
ejpam-5956	265	33	∈	∈	NOUN
ejpam-5956	265	34	ξ	ξ	NOUN
ejpam-5956	265	35	}	}	PUNCT
ejpam-5956	265	36	=	=	SYM
ejpam-5956	265	37	3	3	NUM
ejpam-5956	265	38	(	(	PUNCT
ejpam-5956	265	39	k	k	NOUN
ejpam-5956	265	40	)	)	PUNCT
ejpam-5956	265	41	,	,	PUNCT
ejpam-5956	265	42	(	(	PUNCT
ejpam-5956	265	43	cc9	cc9	NOUN
ejpam-5956	265	44	)	)	PUNCT
ejpam-5956	265	45	3	3	NUM
ejpam-5956	265	46	(	(	PUNCT
ejpam-5956	265	47	w	w	PROPN
ejpam-5956	265	48	(	(	PUNCT
ejpam-5956	265	49	k	k	NOUN
ejpam-5956	265	50	)	)	PUNCT
ejpam-5956	265	51	)	)	PUNCT
ejpam-5956	266	1	=	=	SYM
ejpam-5956	266	2	3	3	X
ejpam-5956	266	3	(	(	PUNCT
ejpam-5956	266	4	{	{	PUNCT
ejpam-5956	266	5	⟨ξ	⟨ξ	NOUN
ejpam-5956	266	6	,	,	PUNCT
ejpam-5956	266	7	ϵk	ϵk	INTJ
ejpam-5956	266	8	,	,	PUNCT
ejpam-5956	266	9	ϱk	ϱk	NOUN
ejpam-5956	266	10	,	,	PUNCT
ejpam-5956	266	11	𭟋k⟩	𭟋k⟩	X
ejpam-5956	266	12	|ξ	|ξ	AUX
ejpam-5956	266	13	∈	∈	PROPN
ejpam-5956	266	14	ξ	ξ	NOUN
ejpam-5956	266	15	}	}	PUNCT
ejpam-5956	266	16	)	)	PUNCT
ejpam-5956	266	17	=	=	SYM
ejpam-5956	266	18	{	{	PUNCT
ejpam-5956	266	19	⟨ξ	⟨ξ	NOUN
ejpam-5956	266	20	,	,	PUNCT
ejpam-5956	266	21	1−	1−	NUM
ejpam-5956	266	22	ϱk	ϱk	ADP
ejpam-5956	266	23	−𭟋k	−𭟋k	NOUN
ejpam-5956	266	24	,	,	PUNCT
ejpam-5956	266	25	ϱk	ϱk	NOUN
ejpam-5956	266	26	,	,	PUNCT
ejpam-5956	266	27	𭟋k⟩	𭟋k⟩	X
ejpam-5956	266	28	|ξ	|ξ	VERB
ejpam-5956	266	29	∈	∈	PROPN
ejpam-5956	266	30	ξ	ξ	PROPN
ejpam-5956	266	31	}	}	PUNCT
ejpam-5956	266	32	⊇	⊇	X
ejpam-5956	266	33	{	{	PUNCT
ejpam-5956	266	34	⟨ξ	⟨ξ	NOUN
ejpam-5956	266	35	,	,	PUNCT
ejpam-5956	266	36	1−	1−	NUM
ejpam-5956	266	37	ℵk	ℵk	PRON
ejpam-5956	266	38	−	−	PROPN
ejpam-5956	266	39	κk	κk	NOUN
ejpam-5956	266	40	,	,	PUNCT
ejpam-5956	266	41	ϱk	ϱk	PROPN
ejpam-5956	266	42	,	,	PUNCT
ejpam-5956	266	43	𭟋k⟩	𭟋k⟩	X
ejpam-5956	266	44	|ξ	|ξ	VERB
ejpam-5956	266	45	∈	∈	PROPN
ejpam-5956	266	46	ξ	ξ	PROPN
ejpam-5956	266	47	}	}	PUNCT
ejpam-5956	266	48	⊇	⊇	NOUN
ejpam-5956	266	49	{	{	PUNCT
ejpam-5956	266	50	〈	〈	PROPN
ejpam-5956	266	51	ξ	ξ	PROPN
ejpam-5956	266	52	,	,	PUNCT
ejpam-5956	266	53	∨	∨	NOUN
ejpam-5956	266	54	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	266	55	(	(	PUNCT
ejpam-5956	266	56	1−ϖk(ξ)−	1−ϖk(ξ)−	NUM
ejpam-5956	266	57	σk(ξ	σk(ξ	NUM
ejpam-5956	266	58	)	)	PUNCT
ejpam-5956	266	59	)	)	PUNCT
ejpam-5956	266	60	,	,	PUNCT
ejpam-5956	266	61	ϱk	ϱk	NOUN
ejpam-5956	266	62	,	,	PUNCT
ejpam-5956	266	63	𭟋k	𭟋k	INTJ
ejpam-5956	266	64	〉	〉	NOUN
ejpam-5956	266	65	|ξ	|ξ	X
ejpam-5956	266	66	∈	∈	NOUN
ejpam-5956	266	67	ξ	ξ	NOUN
ejpam-5956	266	68	}	}	PUNCT
ejpam-5956	266	69	=	=	SYM
ejpam-5956	266	70	w	w	X
ejpam-5956	266	71	(	(	PUNCT
ejpam-5956	266	72	{	{	PUNCT
ejpam-5956	266	73	⟨ξ	⟨ξ	NOUN
ejpam-5956	266	74	,	,	PUNCT
ejpam-5956	266	75	1−ϖk(ξ)−	1−ϖk(ξ)−	NUM
ejpam-5956	266	76	σk(ξ	σk(ξ	NUM
ejpam-5956	266	77	)	)	PUNCT
ejpam-5956	266	78	,	,	PUNCT
ejpam-5956	266	79	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	266	80	)	)	PUNCT
ejpam-5956	266	81	,	,	PUNCT
ejpam-5956	266	82	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	266	83	|ξ	|ξ	VERB
ejpam-5956	266	84	∈	∈	NOUN
ejpam-5956	266	85	ξ	ξ	NOUN
ejpam-5956	266	86	}	}	PUNCT
ejpam-5956	266	87	)	)	PUNCT
ejpam-5956	266	88	=	=	SYM
ejpam-5956	266	89	w	w	X
ejpam-5956	266	90	(	(	PUNCT
ejpam-5956	266	91	3	3	NUM
ejpam-5956	266	92	(	(	PUNCT
ejpam-5956	266	93	k	k	NOUN
ejpam-5956	266	94	)	)	PUNCT
ejpam-5956	266	95	)	)	PUNCT
ejpam-5956	266	96	.	.	PUNCT
ejpam-5956	267	1	the	the	DET
ejpam-5956	267	2	reason	reason	NOUN
ejpam-5956	267	3	that	that	PRON
ejpam-5956	267	4	operators	operator	NOUN
ejpam-5956	267	5	w	w	PROPN
ejpam-5956	267	6	and	and	CCONJ
ejpam-5956	267	7	3	3	NUM
ejpam-5956	267	8	are	be	AUX
ejpam-5956	267	9	from	from	ADP
ejpam-5956	267	10	one	one	NUM
ejpam-5956	267	11	type	type	NOUN
ejpam-5956	267	12	(	(	PUNCT
ejpam-5956	267	13	“	"	PUNCT
ejpam-5956	267	14	closure	closure	NOUN
ejpam-5956	267	15	”	"	PUNCT
ejpam-5956	267	16	)	)	PUNCT
ejpam-5956	267	17	is	be	AUX
ejpam-5956	267	18	in	in	ADP
ejpam-5956	267	19	the	the	DET
ejpam-5956	267	20	validity	validity	NOUN
ejpam-5956	267	21	of	of	ADP
ejpam-5956	267	22	conditions	condition	NOUN
ejpam-5956	267	23	cc2	cc2	NOUN
ejpam-5956	267	24	and	and	CCONJ
ejpam-5956	267	25	cc6	cc6	PROPN
ejpam-5956	267	26	.	.	PUNCT
ejpam-5956	268	1	theorem	theorem	VERB
ejpam-5956	268	2	2.4	2.4	NUM
ejpam-5956	268	3	.	.	PUNCT
ejpam-5956	269	1	⟨p	⟨p	PROPN
ejpam-5956	269	2	(	(	PUNCT
ejpam-5956	269	3	♯	♯	PROPN
ejpam-5956	269	4	)	)	PUNCT
ejpam-5956	269	5	,	,	PUNCT
ejpam-5956	269	6	z,#,	z,#,	PROPN
ejpam-5956	269	7	□	□	SYM
ejpam-5956	269	8	⟩	⟩	NOUN
ejpam-5956	269	9	is	be	AUX
ejpam-5956	269	10	an	an	DET
ejpam-5956	269	11	int	int	ADJ
ejpam-5956	269	12	-	-	PUNCT
ejpam-5956	269	13	int	int	NOUN
ejpam-5956	269	14	-	-	PUNCT
ejpam-5956	269	15	pffmts	pffmts	NOUN
ejpam-5956	269	16	for	for	ADP
ejpam-5956	269	17	which	which	PRON
ejpam-5956	269	18	in	in	ADP
ejpam-5956	269	19	conditions	condition	NOUN
ejpam-5956	269	20	ii4	ii4	PROPN
ejpam-5956	269	21	,	,	PUNCT
ejpam-5956	269	22	ii5	ii5	PROPN
ejpam-5956	269	23	and	and	CCONJ
ejpam-5956	269	24	ii9	ii9	PROPN
ejpam-5956	269	25	,	,	PUNCT
ejpam-5956	269	26	the	the	DET
ejpam-5956	269	27	relation	relation	NOUN
ejpam-5956	269	28	“	"	PUNCT
ejpam-5956	269	29	=	=	PRON
ejpam-5956	269	30	”	"	PUNCT
ejpam-5956	269	31	is	be	AUX
ejpam-5956	269	32	changed	change	VERB
ejpam-5956	269	33	to	to	ADP
ejpam-5956	269	34	the	the	DET
ejpam-5956	269	35	relation	relation	NOUN
ejpam-5956	269	36	“	"	PUNCT
ejpam-5956	269	37	⊆	⊆	NUM
ejpam-5956	269	38	”	"	PUNCT
ejpam-5956	269	39	.	.	PUNCT
ejpam-5956	270	1	proof	proof	NOUN
ejpam-5956	270	2	.	.	PUNCT
ejpam-5956	271	1	let	let	VERB
ejpam-5956	271	2	k	k	NOUN
ejpam-5956	271	3	,	,	PUNCT
ejpam-5956	271	4	q	q	PROPN
ejpam-5956	271	5	∈	∈	PROPN
ejpam-5956	271	6	p	p	X
ejpam-5956	271	7	(	(	PUNCT
ejpam-5956	271	8	♯	♯	PROPN
ejpam-5956	271	9	)	)	PUNCT
ejpam-5956	271	10	.	.	PUNCT
ejpam-5956	272	1	then	then	ADV
ejpam-5956	272	2	,	,	PUNCT
ejpam-5956	272	3	we	we	PRON
ejpam-5956	272	4	check	check	VERB
ejpam-5956	272	5	in	in	ADP
ejpam-5956	272	6	a	a	DET
ejpam-5956	272	7	sequential	sequential	ADJ
ejpam-5956	272	8	manner	manner	NOUN
ejpam-5956	272	9	the	the	DET
ejpam-5956	272	10	validity	validity	NOUN
ejpam-5956	272	11	of	of	ADP
ejpam-5956	272	12	the	the	DET
ejpam-5956	272	13	conditions	condition	NOUN
ejpam-5956	272	14	ii1	ii1	NOUN
ejpam-5956	272	15	–	–	PUNCT
ejpam-5956	272	16	ii5	ii5	PROPN
ejpam-5956	272	17	,	,	PUNCT
ejpam-5956	272	18	and	and	CCONJ
ejpam-5956	272	19	ii9	ii9	PROPN
ejpam-5956	272	20	because	because	SCONJ
ejpam-5956	272	21	the	the	DET
ejpam-5956	272	22	checks	check	NOUN
ejpam-5956	272	23	of	of	ADP
ejpam-5956	272	24	the	the	DET
ejpam-5956	272	25	validity	validity	NOUN
ejpam-5956	272	26	of	of	ADP
ejpam-5956	272	27	conditions	condition	NOUN
ejpam-5956	272	28	ii6	ii6	ADJ
ejpam-5956	272	29	–	–	PUNCT
ejpam-5956	272	30	ii8	ii8	NOUN
ejpam-5956	272	31	are	be	AUX
ejpam-5956	272	32	given	give	VERB
ejpam-5956	272	33	in	in	ADP
ejpam-5956	272	34	[	[	NOUN
ejpam-5956	272	35	22	22	NUM
ejpam-5956	272	36	]	]	PUNCT
ejpam-5956	272	37	and	and	CCONJ
ejpam-5956	272	38	are	be	AUX
ejpam-5956	272	39	similar	similar	ADJ
ejpam-5956	272	40	to	to	ADP
ejpam-5956	272	41	these	these	PRON
ejpam-5956	272	42	in	in	ADP
ejpam-5956	272	43	the	the	DET
ejpam-5956	272	44	proof	proof	NOUN
ejpam-5956	272	45	of	of	ADP
ejpam-5956	272	46	theorem	theorem	ADJ
ejpam-5956	272	47	2.3	2.3	NUM
ejpam-5956	272	48	.	.	PUNCT
ejpam-5956	273	1	(	(	PUNCT
ejpam-5956	273	2	ii1	ii1	NOUN
ejpam-5956	273	3	)	)	PUNCT
ejpam-5956	273	4	z	z	NOUN
ejpam-5956	273	5	(	(	PUNCT
ejpam-5956	273	6	k	k	NOUN
ejpam-5956	273	7	#	#	NOUN
ejpam-5956	273	8	q	q	NOUN
ejpam-5956	273	9	)	)	PUNCT
ejpam-5956	273	10	=	=	SYM
ejpam-5956	273	11	z	z	NOUN
ejpam-5956	273	12	(	(	PUNCT
ejpam-5956	273	13	{	{	PUNCT
ejpam-5956	273	14	⟨ξ	⟨ξ	NOUN
ejpam-5956	273	15	,	,	PUNCT
ejpam-5956	273	16	ωk(ξ).ω	ωk(ξ).ω	PROPN
ejpam-5956	273	17	q(ξ	q(ξ	ADJ
ejpam-5956	273	18	)	)	PUNCT
ejpam-5956	273	19	,	,	PUNCT
ejpam-5956	273	20	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	273	21	)	)	PUNCT
ejpam-5956	273	22	∨ϖ	∨ϖ	VERB
ejpam-5956	273	23	q(ξ	q(ξ	PROPN
ejpam-5956	273	24	)	)	PUNCT
ejpam-5956	273	25	,	,	PUNCT
ejpam-5956	273	26	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	273	27	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	273	28	|ξ	|ξ	VERB
ejpam-5956	273	29	∈	∈	NOUN
ejpam-5956	273	30	ξ	ξ	NOUN
ejpam-5956	273	31	}	}	PUNCT
ejpam-5956	273	32	)	)	PUNCT
ejpam-5956	273	33	=	=	PRON
ejpam-5956	273	34	{	{	PUNCT
ejpam-5956	273	35	〈	〈	PROPN
ejpam-5956	273	36	ξ	ξ	PROPN
ejpam-5956	273	37	,	,	PUNCT
ejpam-5956	273	38	∏	∏	NUM
ejpam-5956	273	39	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	273	40	(	(	PUNCT
ejpam-5956	273	41	ωk(ξ).ω	ωk(ξ).ω	PROPN
ejpam-5956	273	42	q(ξ	q(ξ	ADJ
ejpam-5956	273	43	)	)	PUNCT
ejpam-5956	273	44	)	)	PUNCT
ejpam-5956	273	45	,	,	PUNCT
ejpam-5956	274	1	∨	∨	NUM
ejpam-5956	274	2	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	274	3	(	(	PUNCT
ejpam-5956	274	4	ϖk(ξ	ϖk(ξ	ADJ
ejpam-5956	274	5	)	)	PUNCT
ejpam-5956	274	6	∨ϖ	∨ϖ	VERB
ejpam-5956	274	7	q(ξ	q(ξ	PROPN
ejpam-5956	274	8	)	)	PUNCT
ejpam-5956	274	9	)	)	PUNCT
ejpam-5956	274	10	,	,	PUNCT
ejpam-5956	274	11	∏	∏	NUM
ejpam-5956	274	12	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	274	13	(	(	PUNCT
ejpam-5956	274	14	σk(ξ).σ	σk(ξ).σ	NOUN
ejpam-5956	274	15	q(ξ	q(ξ	ADJ
ejpam-5956	274	16	)	)	PUNCT
ejpam-5956	274	17	)	)	PUNCT
ejpam-5956	274	18	〉	〉	NOUN
ejpam-5956	274	19	|ξ	|ξ	VERB
ejpam-5956	274	20	∈	∈	NOUN
ejpam-5956	274	21	ξ	ξ	NOUN
ejpam-5956	274	22	}	}	PUNCT
ejpam-5956	274	23	=	=	SYM
ejpam-5956	274	24	{	{	PUNCT
ejpam-5956	274	25	⟨ξ	⟨ξ	NOUN
ejpam-5956	274	26	,	,	PUNCT
ejpam-5956	274	27	φk	φk	ADP
ejpam-5956	274	28	.φ	.φ	NOUN
ejpam-5956	274	29	q	q	PUNCT
ejpam-5956	274	30	,	,	PUNCT
ejpam-5956	274	31	ϑk	ϑk	PROPN
ejpam-5956	274	32	∨	∨	NUM
ejpam-5956	274	33	ϑ	ϑ	X
ejpam-5956	274	34	q	q	X
ejpam-5956	274	35	,	,	PUNCT
ejpam-5956	274	36	𭟋k	𭟋k	INTJ
ejpam-5956	274	37	.𭟋	.𭟋	NOUN
ejpam-5956	274	38	q⟩	q⟩	PROPN
ejpam-5956	274	39	|ξ	|ξ	AUX
ejpam-5956	274	40	∈	∈	PROPN
ejpam-5956	274	41	ξ	ξ	NOUN
ejpam-5956	274	42	}	}	PUNCT
ejpam-5956	274	43	=	=	SYM
ejpam-5956	274	44	{	{	PUNCT
ejpam-5956	274	45	⟨ξ	⟨ξ	NOUN
ejpam-5956	274	46	,	,	PUNCT
ejpam-5956	274	47	φk	φk	ADP
ejpam-5956	274	48	,	,	PUNCT
ejpam-5956	274	49	ϑk	ϑk	PROPN
ejpam-5956	274	50	,	,	PUNCT
ejpam-5956	274	51	𭟋k⟩	𭟋k⟩	PROPN
ejpam-5956	274	52	|ξ	|ξ	AUX
ejpam-5956	274	53	∈	∈	PROPN
ejpam-5956	274	54	ξ	ξ	NOUN
ejpam-5956	274	55	}	}	PUNCT
ejpam-5956	274	56	#	#	NOUN
ejpam-5956	274	57	{	{	PUNCT
ejpam-5956	274	58	⟨ξ	⟨ξ	PROPN
ejpam-5956	274	59	,	,	PUNCT
ejpam-5956	274	60	φ	φ	PROPN
ejpam-5956	274	61	q	q	PROPN
ejpam-5956	274	62	,	,	PUNCT
ejpam-5956	274	63	ϑ	ϑ	X
ejpam-5956	274	64	q	q	X
ejpam-5956	274	65	,	,	PUNCT
ejpam-5956	274	66	𭟋	𭟋	ADP
ejpam-5956	274	67	q⟩	q⟩	NOUN
ejpam-5956	274	68	|ξ	|ξ	AUX
ejpam-5956	274	69	∈	∈	PROPN
ejpam-5956	274	70	ξ	ξ	NOUN
ejpam-5956	274	71	}	}	PUNCT
ejpam-5956	274	72	=	=	SYM
ejpam-5956	274	73	z	z	PROPN
ejpam-5956	274	74	(	(	PUNCT
ejpam-5956	274	75	k)#z	k)#z	NOUN
ejpam-5956	274	76	(	(	PUNCT
ejpam-5956	274	77	q	q	NOUN
ejpam-5956	274	78	)	)	PUNCT
ejpam-5956	274	79	,	,	PUNCT
ejpam-5956	274	80	(	(	PUNCT
ejpam-5956	274	81	ii2	ii2	NOUN
ejpam-5956	274	82	)	)	PUNCT
ejpam-5956	274	83	k	k	X
ejpam-5956	275	1	=	=	PUNCT
ejpam-5956	275	2	{	{	PUNCT
ejpam-5956	275	3	⟨ξ	⟨ξ	NOUN
ejpam-5956	275	4	,	,	PUNCT
ejpam-5956	275	5	ωk(ξ	ωk(ξ	NUM
ejpam-5956	275	6	)	)	PUNCT
ejpam-5956	275	7	,	,	PUNCT
ejpam-5956	275	8	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	275	9	)	)	PUNCT
ejpam-5956	275	10	,	,	PUNCT
ejpam-5956	275	11	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	275	12	|ξ	|ξ	VERB
ejpam-5956	275	13	∈	∈	PROPN
ejpam-5956	275	14	ξ	ξ	PROPN
ejpam-5956	275	15	}	}	PUNCT
ejpam-5956	275	16	⊇	⊇	X
ejpam-5956	275	17	{	{	PUNCT
ejpam-5956	275	18	⟨ξ	⟨ξ	NOUN
ejpam-5956	275	19	,	,	PUNCT
ejpam-5956	275	20	φk	φk	ADP
ejpam-5956	275	21	,	,	PUNCT
ejpam-5956	275	22	ϑk	ϑk	PROPN
ejpam-5956	275	23	,	,	PUNCT
ejpam-5956	275	24	𭟋k⟩	𭟋k⟩	PROPN
ejpam-5956	275	25	|ξ	|ξ	AUX
ejpam-5956	275	26	∈	∈	NOUN
ejpam-5956	275	27	ξ	ξ	NOUN
ejpam-5956	275	28	}	}	PUNCT
ejpam-5956	275	29	=	=	SYM
ejpam-5956	275	30	z	z	NOUN
ejpam-5956	275	31	(	(	PUNCT
ejpam-5956	275	32	k	k	NOUN
ejpam-5956	275	33	)	)	PUNCT
ejpam-5956	275	34	,	,	PUNCT
ejpam-5956	275	35	dali	dali	PROPN
ejpam-5956	275	36	shi	shi	PROPN
ejpam-5956	275	37	et	et	PROPN
ejpam-5956	275	38	al	al	PROPN
ejpam-5956	275	39	.	.	PUNCT
ejpam-5956	275	40	/	/	SYM
ejpam-5956	275	41	eur	eur	PROPN
ejpam-5956	275	42	.	.	PUNCT
ejpam-5956	276	1	j.	j.	PROPN
ejpam-5956	276	2	pure	pure	PROPN
ejpam-5956	276	3	appl	appl	PROPN
ejpam-5956	276	4	.	.	PROPN
ejpam-5956	276	5	math	math	PROPN
ejpam-5956	276	6	,	,	PUNCT
ejpam-5956	276	7	18	18	NUM
ejpam-5956	276	8	(	(	PUNCT
ejpam-5956	276	9	2	2	NUM
ejpam-5956	276	10	)	)	PUNCT
ejpam-5956	276	11	(	(	PUNCT
ejpam-5956	276	12	2025	2025	NUM
ejpam-5956	276	13	)	)	PUNCT
ejpam-5956	276	14	,	,	PUNCT
ejpam-5956	276	15	5956	5956	NUM
ejpam-5956	276	16	10	10	NUM
ejpam-5956	276	17	of	of	ADP
ejpam-5956	276	18	30	30	NUM
ejpam-5956	276	19	(	(	PUNCT
ejpam-5956	276	20	ii3	ii3	NOUN
ejpam-5956	276	21	)	)	PUNCT
ejpam-5956	276	22	z	z	PROPN
ejpam-5956	276	23	(	(	PUNCT
ejpam-5956	276	24	♯	♯	PROPN
ejpam-5956	276	25	)	)	PUNCT
ejpam-5956	276	26	=	=	SYM
ejpam-5956	276	27	z	z	NOUN
ejpam-5956	276	28	(	(	PUNCT
ejpam-5956	276	29	{	{	PUNCT
ejpam-5956	276	30	〈	〈	PROPN
ejpam-5956	276	31	ξ	ξ	PROPN
ejpam-5956	276	32	,	,	PUNCT
ejpam-5956	276	33	∨	∨	NOUN
ejpam-5956	276	34	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	276	35	1	1	NUM
ejpam-5956	276	36	,	,	PUNCT
ejpam-5956	276	37	∏	∏	NUM
ejpam-5956	276	38	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	276	39	0	0	NUM
ejpam-5956	276	40	,	,	PUNCT
ejpam-5956	276	41	∏	∏	PROPN
ejpam-5956	276	42	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	276	43	0	0	NUM
ejpam-5956	276	44	〉	〉	NOUN
ejpam-5956	276	45	|ξ	|ξ	VERB
ejpam-5956	276	46	∈	∈	NOUN
ejpam-5956	276	47	ξ	ξ	NOUN
ejpam-5956	276	48	}	}	PUNCT
ejpam-5956	276	49	)	)	PUNCT
ejpam-5956	276	50	=	=	SYM
ejpam-5956	277	1	♯	♯	PROPN
ejpam-5956	277	2	,	,	PUNCT
ejpam-5956	277	3	(	(	PUNCT
ejpam-5956	277	4	ii4	ii4	NOUN
ejpam-5956	277	5	)	)	PUNCT
ejpam-5956	277	6	z	z	NOUN
ejpam-5956	277	7	(	(	PUNCT
ejpam-5956	277	8	z	z	NOUN
ejpam-5956	277	9	(	(	PUNCT
ejpam-5956	277	10	k	k	NOUN
ejpam-5956	277	11	)	)	PUNCT
ejpam-5956	277	12	)	)	PUNCT
ejpam-5956	278	1	=	=	SYM
ejpam-5956	278	2	z	z	NOUN
ejpam-5956	278	3	(	(	PUNCT
ejpam-5956	278	4	{	{	PUNCT
ejpam-5956	278	5	⟨ξ	⟨ξ	NOUN
ejpam-5956	278	6	,	,	PUNCT
ejpam-5956	278	7	φk	φk	ADP
ejpam-5956	278	8	,	,	PUNCT
ejpam-5956	278	9	ϑk	ϑk	PROPN
ejpam-5956	278	10	,	,	PUNCT
ejpam-5956	278	11	𭟋k⟩	𭟋k⟩	PROPN
ejpam-5956	278	12	|ξ	|ξ	AUX
ejpam-5956	278	13	∈	∈	PROPN
ejpam-5956	278	14	ξ	ξ	NOUN
ejpam-5956	278	15	}	}	PUNCT
ejpam-5956	278	16	)	)	PUNCT
ejpam-5956	278	17	=	=	PRON
ejpam-5956	278	18	{	{	PUNCT
ejpam-5956	278	19	〈	〈	PROPN
ejpam-5956	278	20	ξ	ξ	PROPN
ejpam-5956	278	21	,	,	PUNCT
ejpam-5956	278	22	∏	∏	PROPN
ejpam-5956	278	23	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	278	24	φk	φk	ADP
ejpam-5956	278	25	,	,	PUNCT
ejpam-5956	278	26	∨	∨	NUM
ejpam-5956	278	27	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	278	28	ϑk	ϑk	PROPN
ejpam-5956	278	29	,	,	PUNCT
ejpam-5956	278	30	∏	∏	PROPN
ejpam-5956	278	31	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	278	32	𭟋k	𭟋k	ADP
ejpam-5956	278	33	〉	〉	NOUN
ejpam-5956	278	34	|ξ	|ξ	X
ejpam-5956	278	35	∈	∈	NOUN
ejpam-5956	278	36	ξ	ξ	NOUN
ejpam-5956	278	37	}	}	PUNCT
ejpam-5956	278	38	=	=	SYM
ejpam-5956	278	39	{	{	PUNCT
ejpam-5956	278	40	〈	〈	PROPN
ejpam-5956	278	41	ξ	ξ	PROPN
ejpam-5956	278	42	,	,	PUNCT
ejpam-5956	278	43	(	(	PUNCT
ejpam-5956	278	44	φk	φk	ADP
ejpam-5956	278	45	)	)	PUNCT
ejpam-5956	278	46	e	e	NOUN
ejpam-5956	278	47	,	,	PUNCT
ejpam-5956	278	48	ϑk	ϑk	PRON
ejpam-5956	278	49	,	,	PUNCT
ejpam-5956	278	50	(	(	PUNCT
ejpam-5956	278	51	𭟋k	𭟋k	INTJ
ejpam-5956	278	52	)	)	PUNCT
ejpam-5956	278	53	e	e	NOUN
ejpam-5956	278	54	〉	〉	NOUN
ejpam-5956	278	55	|ξ	|ξ	VERB
ejpam-5956	278	56	∈	∈	PROPN
ejpam-5956	278	57	ξ	ξ	PROPN
ejpam-5956	278	58	}	}	PUNCT
ejpam-5956	278	59	⊆	⊆	NUM
ejpam-5956	278	60	{	{	PUNCT
ejpam-5956	278	61	⟨ξ	⟨ξ	NOUN
ejpam-5956	278	62	,	,	PUNCT
ejpam-5956	278	63	φk	φk	ADP
ejpam-5956	278	64	,	,	PUNCT
ejpam-5956	278	65	ϑk	ϑk	PROPN
ejpam-5956	278	66	,	,	PUNCT
ejpam-5956	278	67	𭟋k⟩	𭟋k⟩	PROPN
ejpam-5956	278	68	|ξ	|ξ	AUX
ejpam-5956	278	69	∈	∈	NOUN
ejpam-5956	278	70	ξ	ξ	NOUN
ejpam-5956	278	71	}	}	PUNCT
ejpam-5956	278	72	=	=	SYM
ejpam-5956	278	73	z	z	NOUN
ejpam-5956	278	74	(	(	PUNCT
ejpam-5956	278	75	k	k	NOUN
ejpam-5956	278	76	)	)	PUNCT
ejpam-5956	278	77	,	,	PUNCT
ejpam-5956	278	78	(	(	PUNCT
ejpam-5956	278	79	ii5	ii5	PROPN
ejpam-5956	278	80	)	)	PUNCT
ejpam-5956	278	81	□	□	PUNCT
ejpam-5956	278	82	(	(	PUNCT
ejpam-5956	278	83	k	k	NOUN
ejpam-5956	278	84	#	#	NOUN
ejpam-5956	278	85	q	q	NOUN
ejpam-5956	278	86	)	)	PUNCT
ejpam-5956	278	87	=	=	SYM
ejpam-5956	279	1	□	□	PUNCT
ejpam-5956	279	2	(	(	PUNCT
ejpam-5956	279	3	{	{	PUNCT
ejpam-5956	279	4	⟨ξ	⟨ξ	NOUN
ejpam-5956	279	5	,	,	PUNCT
ejpam-5956	279	6	ωk(ξ).ω	ωk(ξ).ω	PROPN
ejpam-5956	279	7	q(ξ	q(ξ	ADJ
ejpam-5956	279	8	)	)	PUNCT
ejpam-5956	279	9	,	,	PUNCT
ejpam-5956	279	10	(	(	PUNCT
ejpam-5956	279	11	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	279	12	)	)	PUNCT
ejpam-5956	279	13	∨ϖ	∨ϖ	VERB
ejpam-5956	279	14	q(ξ	q(ξ	PROPN
ejpam-5956	279	15	)	)	PUNCT
ejpam-5956	279	16	)	)	PUNCT
ejpam-5956	279	17	,	,	PUNCT
ejpam-5956	279	18	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	279	19	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	279	20	|ξ	|ξ	AUX
ejpam-5956	279	21	∈	∈	NOUN
ejpam-5956	279	22	ξ	ξ	NOUN
ejpam-5956	279	23	}	}	PUNCT
ejpam-5956	279	24	)	)	PUNCT
ejpam-5956	279	25	=	=	SYM
ejpam-5956	279	26	{	{	PUNCT
ejpam-5956	279	27	⟨ξ	⟨ξ	NOUN
ejpam-5956	279	28	,	,	PUNCT
ejpam-5956	279	29	ωk(ξ).ω	ωk(ξ).ω	PROPN
ejpam-5956	279	30	q(ξ	q(ξ	PROPN
ejpam-5956	279	31	)	)	PUNCT
ejpam-5956	279	32	,	,	PUNCT
ejpam-5956	279	33	1−	1−	NUM
ejpam-5956	280	1	ωk(ξ).ω	ωk(ξ).ω	NUM
ejpam-5956	280	2	q(ξ)−	q(ξ)−	PROPN
ejpam-5956	280	3	σk(ξ).σ	σk(ξ).σ	PROPN
ejpam-5956	280	4	q(ξ	q(ξ	PROPN
ejpam-5956	280	5	)	)	PUNCT
ejpam-5956	280	6	,	,	PUNCT
ejpam-5956	281	1	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	281	2	q⟩	q⟩	NUM
ejpam-5956	281	3	|ξ	|ξ	AUX
ejpam-5956	281	4	∈	∈	NOUN
ejpam-5956	281	5	ξ	ξ	NOUN
ejpam-5956	281	6	}	}	PUNCT
ejpam-5956	281	7	⊆	⊆	NUM
ejpam-5956	281	8	{	{	PUNCT
ejpam-5956	281	9	⟨ξ	⟨ξ	NOUN
ejpam-5956	281	10	,	,	PUNCT
ejpam-5956	281	11	ωk(ξ).ω	ωk(ξ).ω	PROPN
ejpam-5956	281	12	q(ξ	q(ξ	PROPN
ejpam-5956	281	13	)	)	PUNCT
ejpam-5956	281	14	,	,	PUNCT
ejpam-5956	281	15	1−	1−	NUM
ejpam-5956	281	16	(	(	PUNCT
ejpam-5956	281	17	ωk(ξ	ωk(ξ	NUM
ejpam-5956	281	18	)	)	PUNCT
ejpam-5956	281	19	∧	∧	PROPN
ejpam-5956	281	20	ω	ω	NUM
ejpam-5956	281	21	q(ξ))−	q(ξ))−	NOUN
ejpam-5956	281	22	(	(	PUNCT
ejpam-5956	281	23	σk(ξ	σk(ξ	NUM
ejpam-5956	281	24	)	)	PUNCT
ejpam-5956	281	25	∧	∧	PROPN
ejpam-5956	281	26	σ	σ	PROPN
ejpam-5956	281	27	q(ξ	q(ξ	PROPN
ejpam-5956	281	28	)	)	PUNCT
ejpam-5956	281	29	)	)	PUNCT
ejpam-5956	281	30	,	,	PUNCT
ejpam-5956	281	31	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	281	32	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	281	33	|ξ	|ξ	VERB
ejpam-5956	281	34	∈	∈	NOUN
ejpam-5956	281	35	ξ	ξ	NOUN
ejpam-5956	281	36	}	}	PUNCT
ejpam-5956	281	37	⊆	⊆	NUM
ejpam-5956	281	38	{	{	PUNCT
ejpam-5956	281	39	⟨ξ	⟨ξ	NOUN
ejpam-5956	281	40	,	,	PUNCT
ejpam-5956	281	41	ωk(ξ).ω	ωk(ξ).ω	PROPN
ejpam-5956	281	42	q(ξ	q(ξ	ADJ
ejpam-5956	281	43	)	)	PUNCT
ejpam-5956	281	44	,	,	PUNCT
ejpam-5956	281	45	(	(	PUNCT
ejpam-5956	281	46	1−	1−	NUM
ejpam-5956	281	47	ωk(ξ)−	ωk(ξ)−	PROPN
ejpam-5956	281	48	σk(ξ	σk(ξ	NUM
ejpam-5956	281	49	)	)	PUNCT
ejpam-5956	281	50	)	)	PUNCT
ejpam-5956	282	1	∨	∨	NUM
ejpam-5956	282	2	(	(	PUNCT
ejpam-5956	282	3	1−	1−	NUM
ejpam-5956	282	4	ω	ω	NUM
ejpam-5956	282	5	q(ξ)−	q(ξ)−	PROPN
ejpam-5956	282	6	σ	σ	PROPN
ejpam-5956	282	7	q(ξ	q(ξ	PROPN
ejpam-5956	282	8	)	)	PUNCT
ejpam-5956	282	9	)	)	PUNCT
ejpam-5956	282	10	,	,	PUNCT
ejpam-5956	282	11	σk(ξ).σ	σk(ξ).σ	NUM
ejpam-5956	282	12	q(ξ)⟩	q(ξ)⟩	NOUN
ejpam-5956	282	13	|ξ	|ξ	AUX
ejpam-5956	282	14	∈	∈	NOUN
ejpam-5956	282	15	ξ	ξ	NOUN
ejpam-5956	282	16	}	}	PUNCT
ejpam-5956	282	17	=	=	SYM
ejpam-5956	282	18	{	{	PUNCT
ejpam-5956	282	19	⟨ξ	⟨ξ	NOUN
ejpam-5956	282	20	,	,	PUNCT
ejpam-5956	282	21	ωk(ξ	ωk(ξ	NUM
ejpam-5956	282	22	)	)	PUNCT
ejpam-5956	282	23	,	,	PUNCT
ejpam-5956	282	24	1−	1−	NUM
ejpam-5956	282	25	ωk(ξ)−	ωk(ξ)−	PROPN
ejpam-5956	282	26	σk(ξ	σk(ξ	NUM
ejpam-5956	282	27	)	)	PUNCT
ejpam-5956	282	28	,	,	PUNCT
ejpam-5956	282	29	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	282	30	|ξ	|ξ	VERB
ejpam-5956	282	31	∈	∈	NOUN
ejpam-5956	282	32	ξ	ξ	NOUN
ejpam-5956	282	33	}	}	PUNCT
ejpam-5956	282	34	#	#	NOUN
ejpam-5956	282	35	{	{	PUNCT
ejpam-5956	282	36	⟨ξ	⟨ξ	PROPN
ejpam-5956	282	37	,	,	PUNCT
ejpam-5956	282	38	ω	ω	PROPN
ejpam-5956	282	39	q(ξ	q(ξ	PROPN
ejpam-5956	282	40	)	)	PUNCT
ejpam-5956	282	41	,	,	PUNCT
ejpam-5956	282	42	1−	1−	NUM
ejpam-5956	282	43	ω	ω	NUM
ejpam-5956	282	44	q(ξ)−	q(ξ)−	PROPN
ejpam-5956	282	45	σ	σ	PROPN
ejpam-5956	282	46	q	q	PROPN
ejpam-5956	282	47	,	,	PUNCT
ejpam-5956	282	48	σ	σ	PROPN
ejpam-5956	282	49	q(ξ)⟩	q(ξ)⟩	PROPN
ejpam-5956	282	50	|ξ	|ξ	VERB
ejpam-5956	282	51	∈	∈	NOUN
ejpam-5956	282	52	ξ	ξ	NOUN
ejpam-5956	282	53	}	}	PUNCT
ejpam-5956	282	54	=	=	SYM
ejpam-5956	282	55	□	□	PUNCT
ejpam-5956	282	56	(	(	PUNCT
ejpam-5956	282	57	k	k	NOUN
ejpam-5956	282	58	)	)	PUNCT
ejpam-5956	282	59	#	#	SYM
ejpam-5956	282	60	□	□	PUNCT
ejpam-5956	282	61	(	(	PUNCT
ejpam-5956	282	62	q	q	NOUN
ejpam-5956	282	63	)	)	PUNCT
ejpam-5956	282	64	,	,	PUNCT
ejpam-5956	282	65	(	(	PUNCT
ejpam-5956	282	66	ii6	ii6	NOUN
ejpam-5956	282	67	)	)	PUNCT
ejpam-5956	282	68	□	□	PROPN
ejpam-5956	282	69	(	(	PUNCT
ejpam-5956	282	70	k	k	NOUN
ejpam-5956	282	71	)	)	PUNCT
ejpam-5956	282	72	=	=	SYM
ejpam-5956	283	1	□	□	PUNCT
ejpam-5956	283	2	(	(	PUNCT
ejpam-5956	283	3	{	{	PUNCT
ejpam-5956	283	4	⟨ξ	⟨ξ	NOUN
ejpam-5956	283	5	,	,	PUNCT
ejpam-5956	283	6	ωk(ξ	ωk(ξ	NUM
ejpam-5956	283	7	)	)	PUNCT
ejpam-5956	283	8	,	,	PUNCT
ejpam-5956	283	9	ϖk(ξ	ϖk(ξ	NOUN
ejpam-5956	283	10	)	)	PUNCT
ejpam-5956	283	11	,	,	PUNCT
ejpam-5956	283	12	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	283	13	|ξ	|ξ	VERB
ejpam-5956	283	14	∈	∈	NOUN
ejpam-5956	283	15	ξ	ξ	NOUN
ejpam-5956	283	16	}	}	PUNCT
ejpam-5956	283	17	)	)	PUNCT
ejpam-5956	284	1	=	=	SYM
ejpam-5956	284	2	{	{	PUNCT
ejpam-5956	284	3	⟨ξ	⟨ξ	NOUN
ejpam-5956	284	4	,	,	PUNCT
ejpam-5956	284	5	ωk(ξ	ωk(ξ	NUM
ejpam-5956	284	6	)	)	PUNCT
ejpam-5956	284	7	,	,	PUNCT
ejpam-5956	284	8	1−	1−	NUM
ejpam-5956	284	9	ωk(ξ)−	ωk(ξ)−	PROPN
ejpam-5956	284	10	σk(ξ	σk(ξ	NUM
ejpam-5956	284	11	)	)	PUNCT
ejpam-5956	284	12	,	,	PUNCT
ejpam-5956	284	13	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	284	14	|ξ	|ξ	VERB
ejpam-5956	284	15	∈	∈	NOUN
ejpam-5956	284	16	ξ	ξ	NOUN
ejpam-5956	284	17	}	}	PUNCT
ejpam-5956	284	18	⊆	⊆	NUM
ejpam-5956	284	19	k.	k.	NOUN
ejpam-5956	284	20	(	(	PUNCT
ejpam-5956	284	21	ii7	ii7	PROPN
ejpam-5956	284	22	)	)	PUNCT
ejpam-5956	284	23	□	□	PROPN
ejpam-5956	284	24	(	(	PUNCT
ejpam-5956	284	25	♭	♭	INTJ
ejpam-5956	284	26	)	)	PUNCT
ejpam-5956	284	27	=	=	SYM
ejpam-5956	285	1	□	□	PUNCT
ejpam-5956	285	2	(	(	PUNCT
ejpam-5956	285	3	{	{	PUNCT
ejpam-5956	285	4	⟨ξ	⟨ξ	NOUN
ejpam-5956	285	5	,	,	PUNCT
ejpam-5956	285	6	0	0	NUM
ejpam-5956	285	7	,	,	PUNCT
ejpam-5956	285	8	1	1	NUM
ejpam-5956	285	9	,	,	PUNCT
ejpam-5956	285	10	0⟩	0⟩	PROPN
ejpam-5956	285	11	|ξ	|ξ	VERB
ejpam-5956	285	12	∈	∈	PROPN
ejpam-5956	285	13	ξ	ξ	NOUN
ejpam-5956	285	14	}	}	PUNCT
ejpam-5956	285	15	)	)	PUNCT
ejpam-5956	285	16	=	=	SYM
ejpam-5956	285	17	{	{	PUNCT
ejpam-5956	285	18	⟨ξ	⟨ξ	NOUN
ejpam-5956	285	19	,	,	PUNCT
ejpam-5956	285	20	0	0	NUM
ejpam-5956	285	21	,	,	PUNCT
ejpam-5956	285	22	1	1	NUM
ejpam-5956	285	23	,	,	PUNCT
ejpam-5956	285	24	0⟩	0⟩	PROPN
ejpam-5956	285	25	|ξ	|ξ	VERB
ejpam-5956	285	26	∈	∈	PROPN
ejpam-5956	285	27	ξ	ξ	NOUN
ejpam-5956	285	28	}	}	PUNCT
ejpam-5956	285	29	=	=	SYM
ejpam-5956	285	30	♭	♭	INTJ
ejpam-5956	285	31	.	.	PUNCT
ejpam-5956	286	1	(	(	PUNCT
ejpam-5956	286	2	ii8	ii8	PROPN
ejpam-5956	286	3	)	)	PUNCT
ejpam-5956	286	4	□	□	PUNCT
ejpam-5956	286	5	(	(	PUNCT
ejpam-5956	286	6	□	□	PROPN
ejpam-5956	286	7	(	(	PUNCT
ejpam-5956	286	8	k	k	NOUN
ejpam-5956	286	9	)	)	PUNCT
ejpam-5956	286	10	)	)	PUNCT
ejpam-5956	287	1	=	=	PUNCT
ejpam-5956	287	2	□	□	PUNCT
ejpam-5956	287	3	(	(	PUNCT
ejpam-5956	287	4	{	{	PUNCT
ejpam-5956	287	5	⟨ξ	⟨ξ	NOUN
ejpam-5956	287	6	,	,	PUNCT
ejpam-5956	287	7	ωk(ξ	ωk(ξ	NUM
ejpam-5956	287	8	)	)	PUNCT
ejpam-5956	287	9	,	,	PUNCT
ejpam-5956	287	10	1−	1−	NUM
ejpam-5956	287	11	ωk(ξ)−	ωk(ξ)−	PROPN
ejpam-5956	287	12	σk(ξ	σk(ξ	NUM
ejpam-5956	287	13	)	)	PUNCT
ejpam-5956	287	14	,	,	PUNCT
ejpam-5956	287	15	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	287	16	|ξ	|ξ	VERB
ejpam-5956	287	17	∈	∈	NOUN
ejpam-5956	287	18	ξ	ξ	NOUN
ejpam-5956	287	19	}	}	PUNCT
ejpam-5956	287	20	)	)	PUNCT
ejpam-5956	287	21	=	=	SYM
ejpam-5956	287	22	{	{	PUNCT
ejpam-5956	287	23	⟨ξ	⟨ξ	NOUN
ejpam-5956	287	24	,	,	PUNCT
ejpam-5956	287	25	ωk(ξ	ωk(ξ	NUM
ejpam-5956	287	26	)	)	PUNCT
ejpam-5956	287	27	,	,	PUNCT
ejpam-5956	287	28	1−	1−	NUM
ejpam-5956	287	29	ωk(ξ)−	ωk(ξ)−	PROPN
ejpam-5956	287	30	σk(ξ	σk(ξ	NUM
ejpam-5956	287	31	)	)	PUNCT
ejpam-5956	287	32	,	,	PUNCT
ejpam-5956	287	33	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	287	34	|ξ	|ξ	VERB
ejpam-5956	287	35	∈	∈	NOUN
ejpam-5956	287	36	ξ	ξ	NOUN
ejpam-5956	287	37	}	}	PUNCT
ejpam-5956	287	38	=	=	SYM
ejpam-5956	287	39	□	□	PUNCT
ejpam-5956	287	40	(	(	PUNCT
ejpam-5956	287	41	k	k	NOUN
ejpam-5956	287	42	)	)	PUNCT
ejpam-5956	287	43	.	.	PUNCT
ejpam-5956	288	1	(	(	PUNCT
ejpam-5956	288	2	ii9	ii9	NOUN
ejpam-5956	288	3	)	)	PUNCT
ejpam-5956	288	4	□	□	PUNCT
ejpam-5956	288	5	(	(	PUNCT
ejpam-5956	288	6	z	z	NOUN
ejpam-5956	288	7	(	(	PUNCT
ejpam-5956	288	8	k	k	NOUN
ejpam-5956	288	9	)	)	PUNCT
ejpam-5956	288	10	)	)	PUNCT
ejpam-5956	289	1	=	=	PUNCT
ejpam-5956	290	1	□	□	PUNCT
ejpam-5956	290	2	(	(	PUNCT
ejpam-5956	290	3	{	{	PUNCT
ejpam-5956	290	4	⟨ξ	⟨ξ	NOUN
ejpam-5956	290	5	,	,	PUNCT
ejpam-5956	290	6	φk	φk	ADP
ejpam-5956	290	7	,	,	PUNCT
ejpam-5956	290	8	ϑk	ϑk	PROPN
ejpam-5956	290	9	,	,	PUNCT
ejpam-5956	290	10	𭟋k⟩	𭟋k⟩	PROPN
ejpam-5956	290	11	|ξ	|ξ	AUX
ejpam-5956	290	12	∈	∈	PROPN
ejpam-5956	290	13	ξ	ξ	NOUN
ejpam-5956	290	14	}	}	PUNCT
ejpam-5956	290	15	)	)	PUNCT
ejpam-5956	291	1	=	=	SYM
ejpam-5956	291	2	{	{	PUNCT
ejpam-5956	291	3	⟨ξ	⟨ξ	NOUN
ejpam-5956	291	4	,	,	PUNCT
ejpam-5956	291	5	φk	φk	ADP
ejpam-5956	291	6	,	,	PUNCT
ejpam-5956	291	7	1−	1−	NUM
ejpam-5956	291	8	φk	φk	ADP
ejpam-5956	291	9	−𭟋k	−𭟋k	PROPN
ejpam-5956	291	10	,	,	PUNCT
ejpam-5956	291	11	𭟋k⟩	𭟋k⟩	X
ejpam-5956	291	12	|ξ	|ξ	AUX
ejpam-5956	291	13	∈	∈	PROPN
ejpam-5956	291	14	ξ	ξ	NOUN
ejpam-5956	291	15	}	}	PUNCT
ejpam-5956	291	16	⊆	⊆	NUM
ejpam-5956	291	17	{	{	PUNCT
ejpam-5956	291	18	⟨ξ	⟨ξ	NOUN
ejpam-5956	291	19	,	,	PUNCT
ejpam-5956	291	20	φk	φk	ADP
ejpam-5956	291	21	,	,	PUNCT
ejpam-5956	291	22	1−	1−	NUM
ejpam-5956	291	23	εk	εk	NOUN
ejpam-5956	291	24	−	−	PROPN
ejpam-5956	291	25	κk	κk	NOUN
ejpam-5956	291	26	,	,	PUNCT
ejpam-5956	291	27	𭟋k⟩	𭟋k⟩	PROPN
ejpam-5956	291	28	|ξ	|ξ	AUX
ejpam-5956	291	29	∈	∈	PROPN
ejpam-5956	291	30	ξ	ξ	NOUN
ejpam-5956	291	31	}	}	PUNCT
ejpam-5956	291	32	⊆	⊆	NUM
ejpam-5956	291	33	{	{	PUNCT
ejpam-5956	291	34	〈	〈	PROPN
ejpam-5956	291	35	ξ	ξ	PROPN
ejpam-5956	291	36	,	,	PUNCT
ejpam-5956	291	37	φk	φk	ADP
ejpam-5956	291	38	,	,	PUNCT
ejpam-5956	291	39	∨	∨	NUM
ejpam-5956	291	40	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	291	41	(	(	PUNCT
ejpam-5956	291	42	1−	1−	NUM
ejpam-5956	291	43	ωk(ξ)−	ωk(ξ)−	PROPN
ejpam-5956	291	44	σk(ξ	σk(ξ	NUM
ejpam-5956	291	45	)	)	PUNCT
ejpam-5956	291	46	)	)	PUNCT
ejpam-5956	291	47	,	,	PUNCT
ejpam-5956	291	48	𭟋k	𭟋k	INTJ
ejpam-5956	291	49	〉	〉	NOUN
ejpam-5956	291	50	|ξ	|ξ	X
ejpam-5956	291	51	∈	∈	NOUN
ejpam-5956	291	52	ξ	ξ	NOUN
ejpam-5956	291	53	}	}	PUNCT
ejpam-5956	291	54	=	=	SYM
ejpam-5956	291	55	z	z	NOUN
ejpam-5956	291	56	(	(	PUNCT
ejpam-5956	291	57	{	{	PUNCT
ejpam-5956	291	58	⟨ξ	⟨ξ	NOUN
ejpam-5956	291	59	,	,	PUNCT
ejpam-5956	291	60	ωk(ξ	ωk(ξ	NUM
ejpam-5956	291	61	)	)	PUNCT
ejpam-5956	291	62	,	,	PUNCT
ejpam-5956	291	63	1−	1−	NUM
ejpam-5956	291	64	ωk(ξ)−	ωk(ξ)−	PROPN
ejpam-5956	291	65	σk(ξ	σk(ξ	NUM
ejpam-5956	291	66	)	)	PUNCT
ejpam-5956	291	67	,	,	PUNCT
ejpam-5956	291	68	σk(ξ)⟩	σk(ξ)⟩	PROPN
ejpam-5956	291	69	|ξ	|ξ	VERB
ejpam-5956	291	70	∈	∈	NOUN
ejpam-5956	291	71	ξ	ξ	NOUN
ejpam-5956	291	72	}	}	PUNCT
ejpam-5956	291	73	)	)	PUNCT
ejpam-5956	291	74	=	=	SYM
ejpam-5956	291	75	z	z	NOUN
ejpam-5956	291	76	(	(	PUNCT
ejpam-5956	291	77	□	□	PUNCT
ejpam-5956	291	78	(	(	PUNCT
ejpam-5956	291	79	k	k	NOUN
ejpam-5956	291	80	)	)	PUNCT
ejpam-5956	291	81	)	)	PUNCT
ejpam-5956	291	82	.	.	PUNCT
ejpam-5956	292	1	theorem	theorem	VERB
ejpam-5956	292	2	2.5	2.5	NUM
ejpam-5956	292	3	.	.	PUNCT
ejpam-5956	293	1	⟨p	⟨p	PROPN
ejpam-5956	293	2	(	(	PUNCT
ejpam-5956	293	3	♯	♯	PROPN
ejpam-5956	293	4	)	)	PUNCT
ejpam-5956	293	5	,	,	PUNCT
ejpam-5956	293	6	w	w	PROPN
ejpam-5956	293	7	,	,	PUNCT
ejpam-5956	293	8	∗,	∗,	X
ejpam-5956	293	9	□	□	NOUN
ejpam-5956	293	10	⟩	⟩	NOUN
ejpam-5956	293	11	is	be	AUX
ejpam-5956	293	12	a	a	DET
ejpam-5956	293	13	cl	cl	NOUN
ejpam-5956	293	14	-	-	PUNCT
ejpam-5956	293	15	int	int	NOUN
ejpam-5956	293	16	-	-	PUNCT
ejpam-5956	293	17	pffmts	pffmts	NOUN
ejpam-5956	293	18	for	for	ADP
ejpam-5956	293	19	which	which	PRON
ejpam-5956	293	20	in	in	ADP
ejpam-5956	293	21	condition	condition	NOUN
ejpam-5956	293	22	ci4	ci4	PROPN
ejpam-5956	293	23	,	,	PUNCT
ejpam-5956	293	24	the	the	DET
ejpam-5956	293	25	relation	relation	NOUN
ejpam-5956	293	26	“	"	PUNCT
ejpam-5956	293	27	=	=	PRON
ejpam-5956	293	28	”	"	PUNCT
ejpam-5956	293	29	is	be	AUX
ejpam-5956	293	30	changed	change	VERB
ejpam-5956	293	31	to	to	ADP
ejpam-5956	293	32	the	the	DET
ejpam-5956	293	33	relation	relation	NOUN
ejpam-5956	293	34	“	"	PUNCT
ejpam-5956	293	35	⊇	⊇	PROPN
ejpam-5956	293	36	”	"	PUNCT
ejpam-5956	293	37	,	,	PUNCT
ejpam-5956	293	38	and	and	CCONJ
ejpam-5956	293	39	in	in	ADP
ejpam-5956	293	40	conditions	condition	NOUN
ejpam-5956	293	41	ci5	ci5	ADJ
ejpam-5956	293	42	and	and	CCONJ
ejpam-5956	293	43	ci9	ci9	NOUN
ejpam-5956	293	44	,	,	PUNCT
ejpam-5956	293	45	the	the	DET
ejpam-5956	293	46	relation	relation	NOUN
ejpam-5956	293	47	“	"	PUNCT
ejpam-5956	293	48	=	=	PRON
ejpam-5956	293	49	”	"	PUNCT
ejpam-5956	293	50	is	be	AUX
ejpam-5956	293	51	changed	change	VERB
ejpam-5956	293	52	to	to	ADP
ejpam-5956	293	53	the	the	DET
ejpam-5956	293	54	relation	relation	NOUN
ejpam-5956	293	55	“	"	PUNCT
ejpam-5956	293	56	⊆	⊆	NUM
ejpam-5956	293	57	”	"	PUNCT
ejpam-5956	293	58	.	.	PUNCT
ejpam-5956	294	1	theorem	theorem	VERB
ejpam-5956	294	2	2.6	2.6	NUM
ejpam-5956	294	3	.	.	PUNCT
ejpam-5956	295	1	⟨p	⟨p	PROPN
ejpam-5956	295	2	(	(	PUNCT
ejpam-5956	295	3	♯	♯	PROPN
ejpam-5956	295	4	)	)	PUNCT
ejpam-5956	295	5	,	,	PUNCT
ejpam-5956	295	6	z,#,3⟩	z,#,3⟩	PROPN
ejpam-5956	295	7	is	be	AUX
ejpam-5956	295	8	an	an	DET
ejpam-5956	295	9	int	int	NOUN
ejpam-5956	295	10	-	-	PUNCT
ejpam-5956	295	11	cl	cl	NOUN
ejpam-5956	295	12	-	-	NOUN
ejpam-5956	295	13	pffmts	pffmts	NOUN
ejpam-5956	295	14	for	for	ADP
ejpam-5956	295	15	which	which	PRON
ejpam-5956	295	16	in	in	ADP
ejpam-5956	295	17	condition	condition	NOUN
ejpam-5956	295	18	ic4	ic4	PROPN
ejpam-5956	295	19	,	,	PUNCT
ejpam-5956	295	20	the	the	DET
ejpam-5956	295	21	relation	relation	NOUN
ejpam-5956	295	22	“	"	PUNCT
ejpam-5956	295	23	=	=	PRON
ejpam-5956	295	24	”	"	PUNCT
ejpam-5956	295	25	is	be	AUX
ejpam-5956	295	26	changed	change	VERB
ejpam-5956	295	27	to	to	ADP
ejpam-5956	295	28	the	the	DET
ejpam-5956	295	29	relation	relation	NOUN
ejpam-5956	295	30	“	"	PUNCT
ejpam-5956	295	31	⊆	⊆	NUM
ejpam-5956	295	32	”	"	PUNCT
ejpam-5956	295	33	,	,	PUNCT
ejpam-5956	295	34	and	and	CCONJ
ejpam-5956	295	35	in	in	ADP
ejpam-5956	295	36	condition	condition	NOUN
ejpam-5956	295	37	ic5	ic5	NOUN
ejpam-5956	295	38	and	and	CCONJ
ejpam-5956	295	39	ci9	ci9	NOUN
ejpam-5956	295	40	,	,	PUNCT
ejpam-5956	295	41	the	the	DET
ejpam-5956	295	42	relation	relation	NOUN
ejpam-5956	295	43	“	"	PUNCT
ejpam-5956	295	44	=	=	PRON
ejpam-5956	295	45	”	"	PUNCT
ejpam-5956	295	46	is	be	AUX
ejpam-5956	295	47	changed	change	VERB
ejpam-5956	295	48	to	to	ADP
ejpam-5956	295	49	the	the	DET
ejpam-5956	295	50	relation	relation	NOUN
ejpam-5956	295	51	“	"	PUNCT
ejpam-5956	295	52	⊇	⊇	PROPN
ejpam-5956	295	53	”	"	PUNCT
ejpam-5956	295	54	.	.	PUNCT
ejpam-5956	296	1	3	3	X
ejpam-5956	296	2	.	.	X
ejpam-5956	296	3	picture	picture	NOUN
ejpam-5956	296	4	fuzzy	fuzzy	ADJ
ejpam-5956	296	5	ideal	ideal	ADJ
ejpam-5956	296	6	multifunctions	multifunction	NOUN
ejpam-5956	296	7	the	the	DET
ejpam-5956	296	8	map	map	NOUN
ejpam-5956	297	1	f	f	X
ejpam-5956	297	2	:	:	PUNCT
ejpam-5956	297	3	ξ	ξ	X
ejpam-5956	297	4	↬	↬	PROPN
ejpam-5956	297	5	υ	υ	PROPN
ejpam-5956	297	6	is	be	AUX
ejpam-5956	297	7	called	call	VERB
ejpam-5956	297	8	a	a	DET
ejpam-5956	297	9	pfm	pfm	NOUN
ejpam-5956	297	10	for	for	ADP
ejpam-5956	297	11	any	any	DET
ejpam-5956	297	12	(	(	PUNCT
ejpam-5956	297	13	ξ	ξ	PROPN
ejpam-5956	297	14	,	,	PUNCT
ejpam-5956	297	15	ζ	ζ	NOUN
ejpam-5956	297	16	)	)	PUNCT
ejpam-5956	297	17	∈	∈	NOUN
ejpam-5956	297	18	ξ	ξ	X
ejpam-5956	297	19	×	×	NOUN
ejpam-5956	297	20	υ	υ	PROPN
ejpam-5956	297	21	iff	iff	PROPN
ejpam-5956	297	22	f(ξ	f(ξ	NOUN
ejpam-5956	297	23	)	)	PUNCT
ejpam-5956	297	24	∈	∈	PROPN
ejpam-5956	297	25	(	(	PUNCT
ejpam-5956	297	26	i3	i3	NOUN
ejpam-5956	297	27	)	)	PUNCT
ejpam-5956	297	28	υ	υ	NOUN
ejpam-5956	297	29	for	for	ADP
ejpam-5956	297	30	each	each	DET
ejpam-5956	297	31	ξ	ξ	PROPN
ejpam-5956	297	32	∈	∈	PROPN
ejpam-5956	297	33	ξ	ξ	PROPN
ejpam-5956	297	34	.	.	PUNCT
ejpam-5956	298	1	the	the	DET
ejpam-5956	298	2	degree	degree	NOUN
ejpam-5956	298	3	of	of	ADP
ejpam-5956	298	4	membership	membership	NOUN
ejpam-5956	298	5	of	of	ADP
ejpam-5956	298	6	ζ	ζ	NOUN
ejpam-5956	298	7	∈	∈	PROPN
ejpam-5956	298	8	f(ξ	f(ξ	NOUN
ejpam-5956	298	9	)	)	PUNCT
ejpam-5956	298	10	is	be	AUX
ejpam-5956	298	11	denoted	denote	VERB
ejpam-5956	298	12	by	by	ADP
ejpam-5956	298	13	:	:	PUNCT
ejpam-5956	298	14	f(ξ)(ζ	f(ξ)(ζ	NUM
ejpam-5956	298	15	)	)	PUNCT
ejpam-5956	298	16	=	=	SYM
ejpam-5956	298	17	ψf(ξ	ψf(ξ	X
ejpam-5956	298	18	,	,	PUNCT
ejpam-5956	298	19	ζ	ζ	NOUN
ejpam-5956	298	20	)	)	PUNCT
ejpam-5956	298	21	.	.	PUNCT
ejpam-5956	299	1	the	the	DET
ejpam-5956	299	2	domain	domain	NOUN
ejpam-5956	299	3	of	of	ADP
ejpam-5956	299	4	f	f	PROPN
ejpam-5956	299	5	,	,	PUNCT
ejpam-5956	299	6	denoted	denote	VERB
ejpam-5956	299	7	by	by	ADP
ejpam-5956	299	8	d	d	PROPN
ejpam-5956	299	9	(	(	PUNCT
ejpam-5956	299	10	f	f	X
ejpam-5956	299	11	)	)	PUNCT
ejpam-5956	299	12	and	and	CCONJ
ejpam-5956	299	13	the	the	DET
ejpam-5956	299	14	range	range	NOUN
ejpam-5956	299	15	of	of	ADP
ejpam-5956	299	16	f	f	PROPN
ejpam-5956	299	17	,	,	PUNCT
ejpam-5956	299	18	denoted	denote	VERB
ejpam-5956	299	19	by	by	ADP
ejpam-5956	299	20	r	r	NOUN
ejpam-5956	299	21	(	(	PUNCT
ejpam-5956	299	22	f	f	NOUN
ejpam-5956	299	23	)	)	PUNCT
ejpam-5956	299	24	,	,	PUNCT
ejpam-5956	299	25	are	be	AUX
ejpam-5956	299	26	defined	define	VERB
ejpam-5956	299	27	by	by	ADP
ejpam-5956	299	28	:	:	PUNCT
ejpam-5956	299	29	for	for	ADP
ejpam-5956	299	30	any	any	DET
ejpam-5956	299	31	ξ	ξ	PROPN
ejpam-5956	299	32	∈	∈	PROPN
ejpam-5956	299	33	ξ	ξ	PROPN
ejpam-5956	299	34	and	and	CCONJ
ejpam-5956	299	35	ζ	ζ	NOUN
ejpam-5956	299	36	∈	∈	PROPN
ejpam-5956	299	37	υ	υ	NOUN
ejpam-5956	299	38	,	,	PUNCT
ejpam-5956	299	39	d	d	X
ejpam-5956	299	40	(	(	PUNCT
ejpam-5956	299	41	f	f	X
ejpam-5956	299	42	)	)	PUNCT
ejpam-5956	299	43	(	(	PUNCT
ejpam-5956	299	44	ξ	ξ	X
ejpam-5956	299	45	)	)	PUNCT
ejpam-5956	299	46	=	=	SYM
ejpam-5956	299	47	⋃	⋃	NOUN
ejpam-5956	299	48	ζ∈υ	ζ∈υ	NOUN
ejpam-5956	299	49	ψf(ξ	ψf(ξ	X
ejpam-5956	299	50	,	,	PUNCT
ejpam-5956	299	51	ζ	ζ	NOUN
ejpam-5956	299	52	)	)	PUNCT
ejpam-5956	299	53	and	and	CCONJ
ejpam-5956	299	54	r	r	NOUN
ejpam-5956	299	55	(	(	PUNCT
ejpam-5956	299	56	f	f	X
ejpam-5956	299	57	)	)	PUNCT
ejpam-5956	299	58	(	(	PUNCT
ejpam-5956	299	59	ζ	ζ	NOUN
ejpam-5956	299	60	)	)	PUNCT
ejpam-5956	299	61	=	=	PUNCT
ejpam-5956	299	62	⋃	⋃	NOUN
ejpam-5956	299	63	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	299	64	ψf(ξ	ψf(ξ	X
ejpam-5956	299	65	,	,	PUNCT
ejpam-5956	299	66	ζ	ζ	NOUN
ejpam-5956	299	67	)	)	PUNCT
ejpam-5956	299	68	.	.	PUNCT
ejpam-5956	300	1	f	f	PROPN
ejpam-5956	300	2	is	be	AUX
ejpam-5956	300	3	called	call	VERB
ejpam-5956	300	4	crisp	crisp	ADJ
ejpam-5956	300	5	iff	iff	NOUN
ejpam-5956	300	6	ψf(ξ	ψf(ξ	X
ejpam-5956	300	7	,	,	PUNCT
ejpam-5956	300	8	ζ	ζ	NOUN
ejpam-5956	300	9	)	)	PUNCT
ejpam-5956	300	10	=	=	SYM
ejpam-5956	300	11	⟨1	⟨1	PROPN
ejpam-5956	300	12	,	,	PUNCT
ejpam-5956	300	13	0	0	NUM
ejpam-5956	300	14	,	,	PUNCT
ejpam-5956	300	15	0⟩	0⟩	X
ejpam-5956	300	16	∀ξ	∀ξ	ADJ
ejpam-5956	300	17	∈	∈	NOUN
ejpam-5956	300	18	ξ	ξ	PROPN
ejpam-5956	300	19	and	and	CCONJ
ejpam-5956	300	20	ζ	ζ	NOUN
ejpam-5956	300	21	∈	∈	PROPN
ejpam-5956	301	1	υ	υ	NOUN
ejpam-5956	301	2	.	.	PUNCT
ejpam-5956	301	3	f	f	PROPN
ejpam-5956	301	4	is	be	AUX
ejpam-5956	301	5	called	call	VERB
ejpam-5956	301	6	normalized	normalize	VERB
ejpam-5956	301	7	pfm	pfm	NOUN
ejpam-5956	301	8	iff	iff	NOUN
ejpam-5956	301	9	∀ξ	∀ξ	ADJ
ejpam-5956	301	10	∈	∈	PROPN
ejpam-5956	301	11	ξ	ξ	NOUN
ejpam-5956	301	12	,	,	PUNCT
ejpam-5956	301	13	there	there	PRON
ejpam-5956	301	14	exists	exist	VERB
ejpam-5956	301	15	ζ0	ζ0	ADJ
ejpam-5956	301	16	∈	∈	PROPN
ejpam-5956	301	17	υ	υ	ADP
ejpam-5956	301	18	such	such	ADJ
ejpam-5956	301	19	that	that	PRON
ejpam-5956	301	20	ψf(ξ	ψf(ξ	ADJ
ejpam-5956	301	21	,	,	PUNCT
ejpam-5956	301	22	ζ0	ζ0	ADJ
ejpam-5956	301	23	)	)	PUNCT
ejpam-5956	302	1	=	=	SYM
ejpam-5956	302	2	⟨1	⟨1	PROPN
ejpam-5956	302	3	,	,	PUNCT
ejpam-5956	302	4	0	0	NUM
ejpam-5956	302	5	,	,	PUNCT
ejpam-5956	302	6	0⟩.	0⟩.	PROPN
ejpam-5956	302	7	f	f	PROPN
ejpam-5956	302	8	is	be	AUX
ejpam-5956	302	9	called	call	VERB
ejpam-5956	302	10	surjective	surjective	ADJ
ejpam-5956	302	11	iff	iff	PROPN
ejpam-5956	302	12	r	r	PROPN
ejpam-5956	302	13	(	(	PUNCT
ejpam-5956	302	14	f	f	X
ejpam-5956	302	15	)	)	PUNCT
ejpam-5956	302	16	(	(	PUNCT
ejpam-5956	302	17	ζ	ζ	NOUN
ejpam-5956	302	18	)	)	PUNCT
ejpam-5956	302	19	=	=	SYM
ejpam-5956	302	20	⟨1	⟨1	PROPN
ejpam-5956	302	21	,	,	PUNCT
ejpam-5956	302	22	0	0	NUM
ejpam-5956	302	23	,	,	PUNCT
ejpam-5956	302	24	0⟩	0⟩	PROPN
ejpam-5956	302	25	∀ζ	∀ζ	PROPN
ejpam-5956	302	26	∈	∈	PROPN
ejpam-5956	302	27	υ	υ	NOUN
ejpam-5956	302	28	.	.	PUNCT
ejpam-5956	303	1	the	the	DET
ejpam-5956	303	2	inverse	inverse	NOUN
ejpam-5956	303	3	of	of	ADP
ejpam-5956	303	4	f	f	PROPN
ejpam-5956	303	5	denoted	denote	VERB
ejpam-5956	303	6	by	by	ADP
ejpam-5956	303	7	f−	f−	PROPN
ejpam-5956	303	8	:	:	PUNCT
ejpam-5956	303	9	υ	υ	PROPN
ejpam-5956	303	10	→	→	SYM
ejpam-5956	303	11	ξ	ξ	X
ejpam-5956	303	12	is	be	AUX
ejpam-5956	303	13	a	a	DET
ejpam-5956	303	14	pfm	pfm	NOUN
ejpam-5956	303	15	defined	define	VERB
ejpam-5956	303	16	by	by	ADP
ejpam-5956	303	17	:	:	PUNCT
ejpam-5956	303	18	f−(ζ)(ξ	f−(ζ)(ξ	NOUN
ejpam-5956	303	19	)	)	PUNCT
ejpam-5956	303	20	=	=	SYM
ejpam-5956	303	21	f(ξ)(ζ	f(ξ)(ζ	X
ejpam-5956	303	22	)	)	PUNCT
ejpam-5956	303	23	=	=	NOUN
ejpam-5956	303	24	ψf(ξ	ψf(ξ	X
ejpam-5956	303	25	,	,	PUNCT
ejpam-5956	303	26	ζ	ζ	NOUN
ejpam-5956	303	27	)	)	PUNCT
ejpam-5956	303	28	.	.	PUNCT
ejpam-5956	304	1	one	one	NUM
ejpam-5956	304	2	easily	easily	ADV
ejpam-5956	304	3	verifies	verifie	NOUN
ejpam-5956	304	4	that	that	PRON
ejpam-5956	304	5	d	d	X
ejpam-5956	304	6	(	(	PUNCT
ejpam-5956	304	7	f−	f−	PROPN
ejpam-5956	304	8	)	)	PUNCT
ejpam-5956	304	9	=	=	SYM
ejpam-5956	304	10	r	r	NOUN
ejpam-5956	304	11	(	(	PUNCT
ejpam-5956	304	12	f	f	X
ejpam-5956	304	13	)	)	PUNCT
ejpam-5956	304	14	and	and	CCONJ
ejpam-5956	304	15	d	d	X
ejpam-5956	304	16	(	(	PUNCT
ejpam-5956	304	17	f	f	X
ejpam-5956	304	18	)	)	PUNCT
ejpam-5956	304	19	=	=	SYM
ejpam-5956	304	20	r(f−	r(f−	NOUN
ejpam-5956	304	21	)	)	PUNCT
ejpam-5956	304	22	.	.	PUNCT
ejpam-5956	305	1	the	the	DET
ejpam-5956	305	2	image	image	NOUN
ejpam-5956	305	3	f(k	f(k	VERB
ejpam-5956	305	4	)	)	PUNCT
ejpam-5956	305	5	of	of	ADP
ejpam-5956	305	6	k	k	PROPN
ejpam-5956	305	7	∈	∈	PROPN
ejpam-5956	305	8	(	(	PUNCT
ejpam-5956	305	9	i3	i3	NOUN
ejpam-5956	305	10	)	)	PUNCT
ejpam-5956	305	11	ξ	ξ	PROPN
ejpam-5956	305	12	,	,	PUNCT
ejpam-5956	305	13	the	the	DET
ejpam-5956	305	14	lower	low	ADJ
ejpam-5956	305	15	inverse	inverse	NOUN
ejpam-5956	305	16	dali	dali	PROPN
ejpam-5956	305	17	shi	shi	PROPN
ejpam-5956	305	18	et	et	PROPN
ejpam-5956	305	19	al	al	PROPN
ejpam-5956	305	20	.	.	PUNCT
ejpam-5956	305	21	/	/	SYM
ejpam-5956	305	22	eur	eur	PROPN
ejpam-5956	305	23	.	.	PUNCT
ejpam-5956	306	1	j.	j.	PROPN
ejpam-5956	306	2	pure	pure	PROPN
ejpam-5956	306	3	appl	appl	PROPN
ejpam-5956	306	4	.	.	PROPN
ejpam-5956	306	5	math	math	PROPN
ejpam-5956	306	6	,	,	PUNCT
ejpam-5956	306	7	18	18	NUM
ejpam-5956	306	8	(	(	PUNCT
ejpam-5956	306	9	2	2	NUM
ejpam-5956	306	10	)	)	PUNCT
ejpam-5956	306	11	(	(	PUNCT
ejpam-5956	306	12	2025	2025	NUM
ejpam-5956	306	13	)	)	PUNCT
ejpam-5956	306	14	,	,	PUNCT
ejpam-5956	306	15	5956	5956	NUM
ejpam-5956	306	16	11	11	NUM
ejpam-5956	306	17	of	of	ADP
ejpam-5956	306	18	30	30	NUM
ejpam-5956	306	19	fl	fl	NOUN
ejpam-5956	306	20	(	(	PUNCT
ejpam-5956	306	21	q	q	NOUN
ejpam-5956	306	22	)	)	PUNCT
ejpam-5956	306	23	of	of	ADP
ejpam-5956	306	24	q	q	PROPN
ejpam-5956	306	25	∈	∈	PROPN
ejpam-5956	306	26	(	(	PUNCT
ejpam-5956	306	27	i3	i3	NOUN
ejpam-5956	306	28	)	)	PUNCT
ejpam-5956	306	29	υ	υ	NOUN
ejpam-5956	306	30	and	and	CCONJ
ejpam-5956	306	31	the	the	DET
ejpam-5956	306	32	upper	upper	ADJ
ejpam-5956	306	33	inverse	inverse	NOUN
ejpam-5956	306	34	fu	fu	NOUN
ejpam-5956	306	35	(	(	PUNCT
ejpam-5956	306	36	q	q	NOUN
ejpam-5956	306	37	)	)	PUNCT
ejpam-5956	306	38	of	of	ADP
ejpam-5956	306	39	q	q	PROPN
ejpam-5956	306	40	∈	∈	PROPN
ejpam-5956	306	41	(	(	PUNCT
ejpam-5956	306	42	i3	i3	NOUN
ejpam-5956	306	43	)	)	PUNCT
ejpam-5956	306	44	υ	υ	NOUN
ejpam-5956	306	45	are	be	AUX
ejpam-5956	306	46	defined	define	VERB
ejpam-5956	306	47	respectively	respectively	ADV
ejpam-5956	306	48	as	as	ADP
ejpam-5956	306	49	follow	follow	NOUN
ejpam-5956	306	50	:	:	PUNCT
ejpam-5956	306	51	f(k)(ζ	f(k)(ζ	NUM
ejpam-5956	306	52	)	)	PUNCT
ejpam-5956	306	53	=	=	PUNCT
ejpam-5956	306	54	⋃	⋃	NOUN
ejpam-5956	306	55	ξ∈ξ	ξ∈ξ	NOUN
ejpam-5956	306	56	[	[	X
ejpam-5956	306	57	ψf(ξ	ψf(ξ	X
ejpam-5956	306	58	,	,	PUNCT
ejpam-5956	306	59	ζ	ζ	NOUN
ejpam-5956	306	60	)	)	PUNCT
ejpam-5956	306	61	∩k(ξ	∩k(ξ	NOUN
ejpam-5956	306	62	)	)	PUNCT
ejpam-5956	306	63	]	]	PUNCT
ejpam-5956	306	64	,	,	PUNCT
ejpam-5956	306	65	fl	fl	PROPN
ejpam-5956	306	66	(	(	PUNCT
ejpam-5956	306	67	q)(ξ	q)(ξ	PROPN
ejpam-5956	306	68	)	)	PUNCT
ejpam-5956	306	69	=	=	PUNCT
ejpam-5956	306	70	⋃	⋃	NOUN
ejpam-5956	306	71	ζ∈υ	ζ∈υ	NOUN
ejpam-5956	306	72	[	[	X
ejpam-5956	306	73	ψf(ξ	ψf(ξ	X
ejpam-5956	306	74	,	,	PUNCT
ejpam-5956	306	75	ζ	ζ	NOUN
ejpam-5956	306	76	)	)	PUNCT
ejpam-5956	306	77	∩	∩	ADJ
ejpam-5956	306	78	q(ζ	q(ζ	NOUN
ejpam-5956	306	79	)	)	PUNCT
ejpam-5956	306	80	]	]	PUNCT
ejpam-5956	306	81	,	,	PUNCT
ejpam-5956	306	82	fu	fu	PROPN
ejpam-5956	306	83	(	(	PUNCT
ejpam-5956	306	84	q)(ξ	q)(ξ	PROPN
ejpam-5956	306	85	)	)	PUNCT
ejpam-5956	306	86	=	=	SYM
ejpam-5956	307	1	⋂	⋂	PROPN
ejpam-5956	307	2	ζ∈υ	ζ∈υ	NOUN
ejpam-5956	307	3	[	[	X
ejpam-5956	307	4	ⅎψf(ξ	ⅎψf(ξ	PROPN
ejpam-5956	307	5	,	,	PUNCT
ejpam-5956	307	6	ζ	ζ	NOUN
ejpam-5956	307	7	)	)	PUNCT
ejpam-5956	307	8	∪	∪	ADP
ejpam-5956	307	9	q(ζ	q(ζ	NOUN
ejpam-5956	307	10	)	)	PUNCT
ejpam-5956	307	11	]	]	PUNCT
ejpam-5956	307	12	.	.	PUNCT
ejpam-5956	308	1	definition	definition	NOUN
ejpam-5956	308	2	3.1	3.1	NUM
ejpam-5956	308	3	.	.	PUNCT
ejpam-5956	309	1	a	a	DET
ejpam-5956	309	2	picture	picture	NOUN
ejpam-5956	309	3	fuzzy	fuzzy	ADJ
ejpam-5956	309	4	topology	topology	NOUN
ejpam-5956	309	5	on	on	ADP
ejpam-5956	309	6	ξ	ξ	PROPN
ejpam-5956	309	7	is	be	AUX
ejpam-5956	309	8	a	a	DET
ejpam-5956	309	9	map	map	NOUN
ejpam-5956	309	10	τ	τ	X
ejpam-5956	309	11	:	:	PUNCT
ejpam-5956	309	12	(	(	PUNCT
ejpam-5956	309	13	i3	i3	NOUN
ejpam-5956	309	14	)	)	PUNCT
ejpam-5956	309	15	ξ	ξ	PROPN
ejpam-5956	309	16	→	→	SYM
ejpam-5956	309	17	i3	i3	NOUN
ejpam-5956	309	18	defined	define	VERB
ejpam-5956	309	19	by	by	ADP
ejpam-5956	309	20	τ(k	τ(k	PROPN
ejpam-5956	309	21	)	)	PUNCT
ejpam-5956	309	22	=	=	PRON
ejpam-5956	309	23	⟨ωτ	⟨ωτ	PROPN
ejpam-5956	309	24	(	(	PUNCT
ejpam-5956	309	25	k	k	NOUN
ejpam-5956	309	26	)	)	PUNCT
ejpam-5956	309	27	,	,	PUNCT
ejpam-5956	309	28	ϖτ	ϖτ	PROPN
ejpam-5956	309	29	(	(	PUNCT
ejpam-5956	309	30	k	k	NOUN
ejpam-5956	309	31	)	)	PUNCT
ejpam-5956	309	32	,	,	PUNCT
ejpam-5956	309	33	στ	στ	INTJ
ejpam-5956	309	34	(	(	PUNCT
ejpam-5956	309	35	k)⟩	k)⟩	NOUN
ejpam-5956	309	36	on	on	ADP
ejpam-5956	309	37	ξ	ξ	PROPN
ejpam-5956	309	38	which	which	PRON
ejpam-5956	309	39	satisfies	satisfy	VERB
ejpam-5956	309	40	the	the	DET
ejpam-5956	309	41	following	follow	VERB
ejpam-5956	309	42	properties	property	NOUN
ejpam-5956	309	43	:	:	PUNCT
ejpam-5956	309	44	(	(	PUNCT
ejpam-5956	309	45	1	1	X
ejpam-5956	309	46	)	)	PUNCT
ejpam-5956	309	47	τ	τ	PROPN
ejpam-5956	309	48	(	(	PUNCT
ejpam-5956	309	49	♭	♭	INTJ
ejpam-5956	309	50	)	)	PUNCT
ejpam-5956	309	51	=	=	SYM
ejpam-5956	309	52	τ(♯	τ(♯	PROPN
ejpam-5956	309	53	)	)	PUNCT
ejpam-5956	310	1	=	=	SYM
ejpam-5956	310	2	⟨1	⟨1	PROPN
ejpam-5956	310	3	,	,	PUNCT
ejpam-5956	310	4	0	0	NUM
ejpam-5956	310	5	,	,	PUNCT
ejpam-5956	310	6	0⟩	0⟩	PROPN
ejpam-5956	310	7	.	.	PUNCT
ejpam-5956	311	1	(	(	PUNCT
ejpam-5956	311	2	2	2	NUM
ejpam-5956	311	3	)	)	PUNCT
ejpam-5956	311	4	τ(k1	τ(k1	NOUN
ejpam-5956	311	5	∩k2	∩k2	PROPN
ejpam-5956	311	6	)	)	PUNCT
ejpam-5956	311	7	≥	≥	NOUN
ejpam-5956	311	8	τ(k1	τ(k1	ADV
ejpam-5956	311	9	)	)	PUNCT
ejpam-5956	311	10	∧	∧	NOUN
ejpam-5956	311	11	τ(k2	τ(k2	NOUN
ejpam-5956	311	12	)	)	PUNCT
ejpam-5956	311	13	,	,	PUNCT
ejpam-5956	311	14	for	for	ADP
ejpam-5956	311	15	each	each	DET
ejpam-5956	311	16	k1,k2	k1,k2	PROPN
ejpam-5956	311	17	∈	∈	PROPN
ejpam-5956	311	18	(	(	PUNCT
ejpam-5956	311	19	i3	i3	NOUN
ejpam-5956	311	20	)	)	PUNCT
ejpam-5956	311	21	ξ	ξ	PROPN
ejpam-5956	311	22	.	.	PUNCT
ejpam-5956	312	1	(	(	PUNCT
ejpam-5956	312	2	3	3	X
ejpam-5956	312	3	)	)	PUNCT
ejpam-5956	312	4	τ	τ	PROPN
ejpam-5956	312	5	(	(	PUNCT
ejpam-5956	312	6	⋃	⋃	NOUN
ejpam-5956	312	7	i∈γ	i∈γ	NOUN
ejpam-5956	312	8	ki	ki	NOUN
ejpam-5956	312	9	)	)	PUNCT
ejpam-5956	312	10	≥	≥	NOUN
ejpam-5956	312	11	∧	∧	NOUN
ejpam-5956	312	12	i∈γ	i∈γ	NOUN
ejpam-5956	312	13	τ(ki	τ(ki	NUM
ejpam-5956	312	14	)	)	PUNCT
ejpam-5956	312	15	,	,	PUNCT
ejpam-5956	312	16	for	for	ADP
ejpam-5956	312	17	each	each	DET
ejpam-5956	312	18	ki	ki	PROPN
ejpam-5956	312	19	∈	∈	PROPN
ejpam-5956	312	20	(	(	PUNCT
ejpam-5956	312	21	i3	i3	NOUN
ejpam-5956	312	22	)	)	PUNCT
ejpam-5956	312	23	ξ	ξ	PROPN
ejpam-5956	312	24	,	,	PUNCT
ejpam-5956	312	25	i	i	PRON
ejpam-5956	312	26	∈	∈	PROPN
ejpam-5956	312	27	γ	γ	X
ejpam-5956	312	28	.	.	PUNCT
ejpam-5956	313	1	the	the	DET
ejpam-5956	313	2	pair	pair	NOUN
ejpam-5956	313	3	(	(	PUNCT
ejpam-5956	313	4	ξ	ξ	PROPN
ejpam-5956	313	5	,	,	PUNCT
ejpam-5956	313	6	τ	τ	X
ejpam-5956	313	7	)	)	PUNCT
ejpam-5956	313	8	is	be	AUX
ejpam-5956	313	9	called	call	VERB
ejpam-5956	313	10	a	a	DET
ejpam-5956	313	11	picture	picture	NOUN
ejpam-5956	313	12	fuzzy	fuzzy	ADJ
ejpam-5956	313	13	topological	topological	ADJ
ejpam-5956	313	14	space	space	NOUN
ejpam-5956	313	15	in	in	ADP
ejpam-5956	313	16	šostak	šostak	PROPN
ejpam-5956	313	17	’s	’s	PART
ejpam-5956	313	18	sense	sense	NOUN
ejpam-5956	313	19	.	.	PUNCT
ejpam-5956	314	1	for	for	ADP
ejpam-5956	314	2	any	any	DET
ejpam-5956	314	3	k	k	PROPN
ejpam-5956	314	4	∈	∈	PROPN
ejpam-5956	314	5	(	(	PUNCT
ejpam-5956	314	6	i3	i3	NOUN
ejpam-5956	314	7	)	)	PUNCT
ejpam-5956	314	8	ξ	ξ	PROPN
ejpam-5956	314	9	the	the	DET
ejpam-5956	314	10	number	number	NOUN
ejpam-5956	314	11	ωτ	ωτ	NOUN
ejpam-5956	314	12	(	(	PUNCT
ejpam-5956	314	13	k	k	NOUN
ejpam-5956	314	14	)	)	PUNCT
ejpam-5956	314	15	is	be	AUX
ejpam-5956	314	16	called	call	VERB
ejpam-5956	314	17	the	the	DET
ejpam-5956	314	18	openness	openness	NOUN
ejpam-5956	314	19	degree	degree	NOUN
ejpam-5956	314	20	,	,	PUNCT
ejpam-5956	314	21	ϖτ	ϖτ	PROPN
ejpam-5956	314	22	(	(	PUNCT
ejpam-5956	314	23	k	k	NOUN
ejpam-5956	314	24	)	)	PUNCT
ejpam-5956	314	25	is	be	AUX
ejpam-5956	314	26	called	call	VERB
ejpam-5956	314	27	the	the	DET
ejpam-5956	314	28	non	non	ADJ
ejpam-5956	314	29	openness	openness	NOUN
ejpam-5956	314	30	degree	degree	NOUN
ejpam-5956	314	31	,	,	PUNCT
ejpam-5956	314	32	while	while	SCONJ
ejpam-5956	314	33	στ	στ	PROPN
ejpam-5956	314	34	(	(	PUNCT
ejpam-5956	314	35	k	k	NOUN
ejpam-5956	314	36	)	)	PUNCT
ejpam-5956	314	37	is	be	AUX
ejpam-5956	314	38	called	call	VERB
ejpam-5956	314	39	the	the	DET
ejpam-5956	314	40	neutral	neutral	ADJ
ejpam-5956	314	41	degree	degree	NOUN
ejpam-5956	314	42	.	.	PUNCT
ejpam-5956	315	1	for	for	ADP
ejpam-5956	315	2	k	k	PROPN
ejpam-5956	315	3	∈	∈	PROPN
ejpam-5956	315	4	(	(	PUNCT
ejpam-5956	315	5	i3	i3	NOUN
ejpam-5956	315	6	)	)	PUNCT
ejpam-5956	315	7	ξ	ξ	PROPN
ejpam-5956	315	8	,	,	PUNCT
ejpam-5956	315	9	clτ	clτ	NOUN
ejpam-5956	315	10	(	(	PUNCT
ejpam-5956	315	11	k	k	NOUN
ejpam-5956	315	12	,	,	PUNCT
ejpam-5956	315	13	⟨ς	⟨ς	NOUN
ejpam-5956	315	14	,	,	PUNCT
ejpam-5956	315	15	κ	κ	NOUN
ejpam-5956	315	16	,	,	PUNCT
ejpam-5956	315	17	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	315	18	)	)	PUNCT
ejpam-5956	315	19	=	=	SYM
ejpam-5956	315	20	⋂	⋂	PROPN
ejpam-5956	315	21	{	{	PUNCT
ejpam-5956	315	22	q	q	NOUN
ejpam-5956	315	23	∈	∈	PROPN
ejpam-5956	315	24	(	(	PUNCT
ejpam-5956	315	25	i3	i3	NOUN
ejpam-5956	315	26	)	)	PUNCT
ejpam-5956	315	27	ξ	ξ	PROPN
ejpam-5956	315	28	:	:	PUNCT
ejpam-5956	315	29	k	k	PROPN
ejpam-5956	315	30	⊆	⊆	NUM
ejpam-5956	315	31	q	q	NOUN
ejpam-5956	315	32	,	,	PUNCT
ejpam-5956	315	33	τ(ⅎ	τ(ⅎ	PROPN
ejpam-5956	315	34	q	q	NOUN
ejpam-5956	315	35	)	)	PUNCT
ejpam-5956	315	36	≥	≥	NOUN
ejpam-5956	315	37	⟨ς	⟨ς	NOUN
ejpam-5956	315	38	,	,	PUNCT
ejpam-5956	315	39	κ	κ	NOUN
ejpam-5956	315	40	,	,	PUNCT
ejpam-5956	315	41	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	315	42	}	}	PUNCT
ejpam-5956	315	43	,	,	PUNCT
ejpam-5956	315	44	intτ	intτ	INTJ
ejpam-5956	315	45	(	(	PUNCT
ejpam-5956	315	46	k	k	NOUN
ejpam-5956	315	47	,	,	PUNCT
ejpam-5956	315	48	⟨ς	⟨ς	NOUN
ejpam-5956	315	49	,	,	PUNCT
ejpam-5956	315	50	κ	κ	NOUN
ejpam-5956	315	51	,	,	PUNCT
ejpam-5956	315	52	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	315	53	)	)	PUNCT
ejpam-5956	315	54	=	=	SYM
ejpam-5956	315	55	⋃	⋃	NOUN
ejpam-5956	315	56	{	{	PUNCT
ejpam-5956	315	57	q	q	NOUN
ejpam-5956	315	58	∈	∈	PROPN
ejpam-5956	315	59	(	(	PUNCT
ejpam-5956	315	60	i3	i3	NOUN
ejpam-5956	315	61	)	)	PUNCT
ejpam-5956	315	62	ξ	ξ	PROPN
ejpam-5956	315	63	:	:	PUNCT
ejpam-5956	315	64	k	k	PROPN
ejpam-5956	315	65	⊇	⊇	PROPN
ejpam-5956	315	66	q	q	PROPN
ejpam-5956	315	67	,	,	PUNCT
ejpam-5956	315	68	τ	τ	PROPN
ejpam-5956	315	69	(	(	PUNCT
ejpam-5956	315	70	q	q	NOUN
ejpam-5956	315	71	)	)	PUNCT
ejpam-5956	315	72	≥	≥	NOUN
ejpam-5956	315	73	⟨ς	⟨ς	NOUN
ejpam-5956	315	74	,	,	PUNCT
ejpam-5956	315	75	κ	κ	NOUN
ejpam-5956	315	76	,	,	PUNCT
ejpam-5956	315	77	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	315	78	}	}	PUNCT
ejpam-5956	315	79	.	.	PUNCT
ejpam-5956	316	1	definition	definition	NOUN
ejpam-5956	316	2	3.2	3.2	NUM
ejpam-5956	316	3	.	.	PUNCT
ejpam-5956	317	1	the	the	DET
ejpam-5956	317	2	map	map	NOUN
ejpam-5956	317	3	ℓp	ℓp	NOUN
ejpam-5956	317	4	:	:	PUNCT
ejpam-5956	317	5	(	(	PUNCT
ejpam-5956	317	6	i3	i3	NOUN
ejpam-5956	317	7	)	)	PUNCT
ejpam-5956	317	8	ξ	ξ	PROPN
ejpam-5956	317	9	→	→	PUNCT
ejpam-5956	317	10	i3	i3	NOUN
ejpam-5956	317	11	is	be	AUX
ejpam-5956	317	12	called	call	VERB
ejpam-5956	317	13	picture	picture	NOUN
ejpam-5956	317	14	fuzzy	fuzzy	ADJ
ejpam-5956	317	15	ideal	ideal	NOUN
ejpam-5956	317	16	on	on	ADP
ejpam-5956	317	17	ξ	ξ	PROPN
ejpam-5956	317	18	if	if	SCONJ
ejpam-5956	317	19	it	it	PRON
ejpam-5956	317	20	satisfies	satisfy	VERB
ejpam-5956	317	21	the	the	DET
ejpam-5956	317	22	following	follow	VERB
ejpam-5956	317	23	conditions	condition	NOUN
ejpam-5956	317	24	for	for	ADP
ejpam-5956	317	25	k	k	PROPN
ejpam-5956	317	26	,	,	PUNCT
ejpam-5956	317	27	q∈	q∈	PROPN
ejpam-5956	317	28	(	(	PUNCT
ejpam-5956	317	29	i3	i3	NOUN
ejpam-5956	317	30	)	)	PUNCT
ejpam-5956	317	31	ξ	ξ	NOUN
ejpam-5956	317	32	:	:	PUNCT
ejpam-5956	317	33	(	(	PUNCT
ejpam-5956	317	34	1	1	X
ejpam-5956	317	35	)	)	PUNCT
ejpam-5956	317	36	ℓp	ℓp	NOUN
ejpam-5956	317	37	(	(	PUNCT
ejpam-5956	317	38	♭	♭	INTJ
ejpam-5956	317	39	)	)	PUNCT
ejpam-5956	317	40	=	=	SYM
ejpam-5956	317	41	⟨1	⟨1	PROPN
ejpam-5956	317	42	,	,	PUNCT
ejpam-5956	317	43	0	0	NUM
ejpam-5956	317	44	,	,	PUNCT
ejpam-5956	317	45	0⟩	0⟩	PROPN
ejpam-5956	317	46	,	,	PUNCT
ejpam-5956	317	47	ℓp	ℓp	ADJ
ejpam-5956	317	48	(	(	PUNCT
ejpam-5956	317	49	♯	♯	PROPN
ejpam-5956	317	50	)	)	PUNCT
ejpam-5956	317	51	=	=	PUNCT
ejpam-5956	318	1	⟨0	⟨0	PROPN
ejpam-5956	318	2	,	,	PUNCT
ejpam-5956	318	3	1	1	NUM
ejpam-5956	318	4	,	,	PUNCT
ejpam-5956	318	5	0⟩.	0⟩.	PROPN
ejpam-5956	318	6	(	(	PUNCT
ejpam-5956	318	7	2	2	NUM
ejpam-5956	318	8	)	)	PUNCT
ejpam-5956	318	9	k	k	NOUN
ejpam-5956	318	10	⊆	⊆	NUM
ejpam-5956	318	11	q	q	X
ejpam-5956	318	12	⇒	⇒	NOUN
ejpam-5956	318	13	ℓp	ℓp	ADJ
ejpam-5956	318	14	(	(	PUNCT
ejpam-5956	318	15	k	k	NOUN
ejpam-5956	318	16	)	)	PUNCT
ejpam-5956	318	17	≥	≥	NOUN
ejpam-5956	318	18	ℓp	ℓp	NOUN
ejpam-5956	318	19	(	(	PUNCT
ejpam-5956	318	20	q	q	NOUN
ejpam-5956	318	21	)	)	PUNCT
ejpam-5956	318	22	.	.	PUNCT
ejpam-5956	319	1	(	(	PUNCT
ejpam-5956	319	2	3	3	X
ejpam-5956	319	3	)	)	PUNCT
ejpam-5956	319	4	ℓp	ℓp	NOUN
ejpam-5956	319	5	(	(	PUNCT
ejpam-5956	319	6	k	k	X
ejpam-5956	319	7	∪	∪	PROPN
ejpam-5956	319	8	q	q	PROPN
ejpam-5956	319	9	)	)	PUNCT
ejpam-5956	319	10	≥	≥	NOUN
ejpam-5956	319	11	ℓp	ℓp	NOUN
ejpam-5956	319	12	(	(	PUNCT
ejpam-5956	319	13	k	k	NOUN
ejpam-5956	319	14	)	)	PUNCT
ejpam-5956	319	15	∧	∧	NOUN
ejpam-5956	319	16	ℓp	ℓp	NOUN
ejpam-5956	319	17	(	(	PUNCT
ejpam-5956	319	18	q	q	NOUN
ejpam-5956	319	19	)	)	PUNCT
ejpam-5956	319	20	.	.	PUNCT
ejpam-5956	320	1	if	if	SCONJ
ejpam-5956	320	2	ℓp1	ℓp1	ADJ
ejpam-5956	320	3	and	and	CCONJ
ejpam-5956	320	4	ℓp2	ℓp2	PROPN
ejpam-5956	320	5	are	be	AUX
ejpam-5956	320	6	picture	picture	NOUN
ejpam-5956	320	7	fuzzy	fuzzy	ADJ
ejpam-5956	320	8	ideals	ideal	NOUN
ejpam-5956	320	9	on	on	ADP
ejpam-5956	320	10	ξ	ξ	PROPN
ejpam-5956	320	11	,	,	PUNCT
ejpam-5956	320	12	we	we	PRON
ejpam-5956	320	13	say	say	VERB
ejpam-5956	320	14	that	that	SCONJ
ejpam-5956	320	15	ℓp1	ℓp1	PROPN
ejpam-5956	320	16	is	be	AUX
ejpam-5956	320	17	finer	fine	ADJ
ejpam-5956	320	18	than	than	ADP
ejpam-5956	320	19	ℓp2	ℓp2	NOUN
ejpam-5956	320	20	(	(	PUNCT
ejpam-5956	320	21	ℓp2	ℓp2	PROPN
ejpam-5956	320	22	is	be	AUX
ejpam-5956	320	23	coarser	coarse	ADJ
ejpam-5956	320	24	than	than	ADP
ejpam-5956	320	25	ℓp1	ℓp1	ADJ
ejpam-5956	320	26	)	)	PUNCT
ejpam-5956	320	27	,	,	PUNCT
ejpam-5956	320	28	denoted	denote	VERB
ejpam-5956	320	29	by	by	ADP
ejpam-5956	320	30	ℓp2	ℓp2	PROPN
ejpam-5956	320	31	⊆	⊆	NUM
ejpam-5956	320	32	ℓp1	ℓp1	ADJ
ejpam-5956	320	33	,	,	PUNCT
ejpam-5956	320	34	iff	iff	PROPN
ejpam-5956	320	35	ℓp2	ℓp2	PROPN
ejpam-5956	320	36	(	(	PUNCT
ejpam-5956	320	37	k	k	NOUN
ejpam-5956	320	38	)	)	PUNCT
ejpam-5956	320	39	≤	≤	NOUN
ejpam-5956	321	1	ℓp1	ℓp1	ADJ
ejpam-5956	321	2	(	(	PUNCT
ejpam-5956	321	3	k	k	NOUN
ejpam-5956	321	4	)	)	PUNCT
ejpam-5956	321	5	∀k	∀k	X
ejpam-5956	321	6	∈	∈	PROPN
ejpam-5956	321	7	(	(	PUNCT
ejpam-5956	321	8	i3	i3	NOUN
ejpam-5956	321	9	)	)	PUNCT
ejpam-5956	321	10	ξ	ξ	X
ejpam-5956	321	11	.	.	PUNCT
ejpam-5956	322	1	let	let	VERB
ejpam-5956	322	2	us	we	PRON
ejpam-5956	322	3	define	define	VERB
ejpam-5956	322	4	the	the	DET
ejpam-5956	322	5	special	special	ADJ
ejpam-5956	322	6	picture	picture	NOUN
ejpam-5956	322	7	fuzzy	fuzzy	ADJ
ejpam-5956	322	8	ideals	ideal	NOUN
ejpam-5956	322	9	ℓp0	ℓp0	VERB
ejpam-5956	322	10	,	,	PUNCT
ejpam-5956	322	11	ℓp1	ℓp1	ADJ
ejpam-5956	322	12	by	by	ADP
ejpam-5956	322	13	ℓp0	ℓp0	NOUN
ejpam-5956	322	14	(	(	PUNCT
ejpam-5956	322	15	k	k	NOUN
ejpam-5956	322	16	)	)	PUNCT
ejpam-5956	322	17	=	=	PRON
ejpam-5956	322	18	{	{	PUNCT
ejpam-5956	322	19	⟨1	⟨1	PROPN
ejpam-5956	322	20	,	,	PUNCT
ejpam-5956	322	21	0	0	NUM
ejpam-5956	322	22	,	,	PUNCT
ejpam-5956	322	23	0⟩	0⟩	PROPN
ejpam-5956	322	24	if	if	SCONJ
ejpam-5956	322	25	k	k	PROPN
ejpam-5956	322	26	=	=	SYM
ejpam-5956	322	27	♭	♭	PROPN
ejpam-5956	322	28	,	,	PUNCT
ejpam-5956	322	29	⟨0	⟨0	PROPN
ejpam-5956	322	30	,	,	PUNCT
ejpam-5956	322	31	1	1	NUM
ejpam-5956	322	32	,	,	PUNCT
ejpam-5956	322	33	0⟩	0⟩	PROPN
ejpam-5956	322	34	otherwise	otherwise	ADV
ejpam-5956	322	35	,	,	PUNCT
ejpam-5956	322	36	and	and	CCONJ
ejpam-5956	322	37	ℓp1	ℓp1	ADJ
ejpam-5956	322	38	(	(	PUNCT
ejpam-5956	322	39	k	k	NOUN
ejpam-5956	322	40	)	)	PUNCT
ejpam-5956	322	41	=	=	PRON
ejpam-5956	322	42	{	{	PUNCT
ejpam-5956	322	43	⟨0	⟨0	PROPN
ejpam-5956	322	44	,	,	PUNCT
ejpam-5956	322	45	1	1	NUM
ejpam-5956	322	46	,	,	PUNCT
ejpam-5956	322	47	0⟩	0⟩	PROPN
ejpam-5956	322	48	if	if	SCONJ
ejpam-5956	322	49	k	k	PROPN
ejpam-5956	322	50	=	=	SYM
ejpam-5956	322	51	♯	♯	PROPN
ejpam-5956	322	52	,	,	PUNCT
ejpam-5956	322	53	⟨1	⟨1	PROPN
ejpam-5956	322	54	,	,	PUNCT
ejpam-5956	322	55	0	0	NUM
ejpam-5956	322	56	,	,	PUNCT
ejpam-5956	322	57	0⟩	0⟩	PROPN
ejpam-5956	322	58	otherwise	otherwise	ADV
ejpam-5956	322	59	.	.	PUNCT
ejpam-5956	323	1	definition	definition	NOUN
ejpam-5956	323	2	3.3	3.3	NUM
ejpam-5956	323	3	.	.	PUNCT
ejpam-5956	324	1	let	let	AUX
ejpam-5956	324	2	(	(	PUNCT
ejpam-5956	324	3	ξ	ξ	PROPN
ejpam-5956	324	4	,	,	PUNCT
ejpam-5956	324	5	τ	τ	X
ejpam-5956	324	6	,	,	PUNCT
ejpam-5956	324	7	ℓp	ℓp	ADJ
ejpam-5956	324	8	)	)	PUNCT
ejpam-5956	324	9	be	be	AUX
ejpam-5956	324	10	a	a	DET
ejpam-5956	324	11	picture	picture	NOUN
ejpam-5956	324	12	fuzzy	fuzzy	ADJ
ejpam-5956	324	13	ideal	ideal	ADJ
ejpam-5956	324	14	topological	topological	ADJ
ejpam-5956	324	15	space	space	NOUN
ejpam-5956	324	16	,	,	PUNCT
ejpam-5956	324	17	k	k	PROPN
ejpam-5956	324	18	∈	∈	PROPN
ejpam-5956	324	19	(	(	PUNCT
ejpam-5956	324	20	i3	i3	NOUN
ejpam-5956	324	21	)	)	PUNCT
ejpam-5956	324	22	ξ	ξ	PROPN
ejpam-5956	324	23	,	,	PUNCT
ejpam-5956	324	24	ς	ς	PROPN
ejpam-5956	324	25	∈	∈	PROPN
ejpam-5956	324	26	i0,κ	i0,κ	PROPN
ejpam-5956	324	27	∈	∈	PROPN
ejpam-5956	324	28	i1	i1	PROPN
ejpam-5956	324	29	and	and	CCONJ
ejpam-5956	324	30	ϑ	ϑ	PROPN
ejpam-5956	324	31	∈	∈	PROPN
ejpam-5956	324	32	i1	i1	PROPN
ejpam-5956	324	33	.	.	PUNCT
ejpam-5956	325	1	then	then	ADV
ejpam-5956	325	2	,	,	PUNCT
ejpam-5956	325	3	the	the	DET
ejpam-5956	325	4	⟨ς	⟨ς	NOUN
ejpam-5956	325	5	,	,	PUNCT
ejpam-5956	325	6	κ	κ	NOUN
ejpam-5956	325	7	,	,	PUNCT
ejpam-5956	325	8	ϑ⟩-fuzzy	ϑ⟩-fuzzy	VERB
ejpam-5956	325	9	local	local	ADJ
ejpam-5956	325	10	function	function	NOUN
ejpam-5956	325	11	φ(k	φ(k	PROPN
ejpam-5956	325	12	,	,	PUNCT
ejpam-5956	325	13	⟨ς	⟨ς	NOUN
ejpam-5956	325	14	,	,	PUNCT
ejpam-5956	325	15	κ	κ	NOUN
ejpam-5956	325	16	,	,	PUNCT
ejpam-5956	325	17	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	325	18	)	)	PUNCT
ejpam-5956	325	19	of	of	ADP
ejpam-5956	325	20	k	k	PROPN
ejpam-5956	325	21	defined	define	VERB
ejpam-5956	325	22	as	as	ADP
ejpam-5956	325	23	follows	follow	VERB
ejpam-5956	325	24	:	:	PUNCT
ejpam-5956	325	25	φ(k	φ(k	PROPN
ejpam-5956	325	26	,	,	PUNCT
ejpam-5956	325	27	⟨ς	⟨ς	NOUN
ejpam-5956	325	28	,	,	PUNCT
ejpam-5956	325	29	κ	κ	NOUN
ejpam-5956	325	30	,	,	PUNCT
ejpam-5956	325	31	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	325	32	)	)	PUNCT
ejpam-5956	326	1	=	=	SYM
ejpam-5956	326	2	⋂	⋂	PROPN
ejpam-5956	326	3	{	{	PUNCT
ejpam-5956	326	4	q	q	NOUN
ejpam-5956	326	5	∈	∈	PROPN
ejpam-5956	326	6	(	(	PUNCT
ejpam-5956	326	7	i3	i3	NOUN
ejpam-5956	326	8	)	)	PUNCT
ejpam-5956	326	9	ξ	ξ	NOUN
ejpam-5956	326	10	:	:	PUNCT
ejpam-5956	326	11	ℓp	ℓp	NOUN
ejpam-5956	326	12	(	(	PUNCT
ejpam-5956	326	13	k⊼	k⊼	PROPN
ejpam-5956	326	14	q	q	PROPN
ejpam-5956	326	15	)	)	PUNCT
ejpam-5956	326	16	≥	≥	PROPN
ejpam-5956	326	17	⟨ς	⟨ς	NOUN
ejpam-5956	326	18	,	,	PUNCT
ejpam-5956	326	19	κ	κ	NOUN
ejpam-5956	326	20	,	,	PUNCT
ejpam-5956	326	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	326	22	,	,	PUNCT
ejpam-5956	326	23	τ(ⅎ	τ(ⅎ	PROPN
ejpam-5956	326	24	q	q	NOUN
ejpam-5956	326	25	)	)	PUNCT
ejpam-5956	326	26	≥	≥	NOUN
ejpam-5956	326	27	⟨ς	⟨ς	NOUN
ejpam-5956	326	28	,	,	PUNCT
ejpam-5956	326	29	κ	κ	NOUN
ejpam-5956	326	30	,	,	PUNCT
ejpam-5956	326	31	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	326	32	}	}	PUNCT
ejpam-5956	326	33	.	.	PUNCT
ejpam-5956	327	1	dali	dali	PROPN
ejpam-5956	327	2	shi	shi	PROPN
ejpam-5956	327	3	et	et	PROPN
ejpam-5956	327	4	al	al	PROPN
ejpam-5956	327	5	.	.	PUNCT
ejpam-5956	327	6	/	/	SYM
ejpam-5956	327	7	eur	eur	PROPN
ejpam-5956	327	8	.	.	PUNCT
ejpam-5956	328	1	j.	j.	PROPN
ejpam-5956	328	2	pure	pure	PROPN
ejpam-5956	328	3	appl	appl	PROPN
ejpam-5956	328	4	.	.	PROPN
ejpam-5956	328	5	math	math	PROPN
ejpam-5956	328	6	,	,	PUNCT
ejpam-5956	328	7	18	18	NUM
ejpam-5956	328	8	(	(	PUNCT
ejpam-5956	328	9	2	2	NUM
ejpam-5956	328	10	)	)	PUNCT
ejpam-5956	328	11	(	(	PUNCT
ejpam-5956	328	12	2025	2025	NUM
ejpam-5956	328	13	)	)	PUNCT
ejpam-5956	328	14	,	,	PUNCT
ejpam-5956	328	15	5956	5956	NUM
ejpam-5956	328	16	12	12	NUM
ejpam-5956	328	17	of	of	ADP
ejpam-5956	328	18	30	30	NUM
ejpam-5956	328	19	remark	remark	NOUN
ejpam-5956	328	20	3.1	3.1	NUM
ejpam-5956	328	21	.	.	PUNCT
ejpam-5956	329	1	(	(	PUNCT
ejpam-5956	329	2	1	1	X
ejpam-5956	329	3	)	)	PUNCT
ejpam-5956	329	4	if	if	SCONJ
ejpam-5956	329	5	we	we	PRON
ejpam-5956	329	6	take	take	VERB
ejpam-5956	329	7	ℓp	ℓp	NOUN
ejpam-5956	329	8	=	=	NOUN
ejpam-5956	329	9	ℓp0	ℓp0	NOUN
ejpam-5956	329	10	for	for	ADP
ejpam-5956	329	11	each	each	DET
ejpam-5956	329	12	k	k	PROPN
ejpam-5956	329	13	∈	∈	PROPN
ejpam-5956	329	14	(	(	PUNCT
ejpam-5956	329	15	i3	i3	NOUN
ejpam-5956	329	16	)	)	PUNCT
ejpam-5956	329	17	ξ	ξ	PROPN
ejpam-5956	329	18	we	we	PRON
ejpam-5956	329	19	have	have	VERB
ejpam-5956	329	20	φ(k	φ(k	PROPN
ejpam-5956	329	21	,	,	PUNCT
ejpam-5956	329	22	⟨ς	⟨ς	NOUN
ejpam-5956	329	23	,	,	PUNCT
ejpam-5956	329	24	κ	κ	NOUN
ejpam-5956	329	25	,	,	PUNCT
ejpam-5956	329	26	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	329	27	)	)	PUNCT
ejpam-5956	330	1	=	=	SYM
ejpam-5956	330	2	⋂	⋂	PROPN
ejpam-5956	330	3	{	{	PUNCT
ejpam-5956	330	4	q	q	NOUN
ejpam-5956	330	5	∈	∈	PROPN
ejpam-5956	330	6	(	(	PUNCT
ejpam-5956	330	7	i3	i3	NOUN
ejpam-5956	330	8	)	)	PUNCT
ejpam-5956	330	9	ξ	ξ	PROPN
ejpam-5956	330	10	:	:	PUNCT
ejpam-5956	330	11	k	k	PROPN
ejpam-5956	331	1	⊆	⊆	NUM
ejpam-5956	331	2	q	q	NOUN
ejpam-5956	331	3	,	,	PUNCT
ejpam-5956	331	4	τ(ⅎ	τ(ⅎ	PROPN
ejpam-5956	331	5	q	q	NOUN
ejpam-5956	331	6	)	)	PUNCT
ejpam-5956	331	7	≥	≥	NOUN
ejpam-5956	331	8	⟨ς	⟨ς	NOUN
ejpam-5956	331	9	,	,	PUNCT
ejpam-5956	331	10	κ	κ	NOUN
ejpam-5956	331	11	,	,	PUNCT
ejpam-5956	331	12	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	331	13	}	}	PUNCT
ejpam-5956	331	14	=	=	SYM
ejpam-5956	331	15	cl	cl	NOUN
ejpam-5956	331	16	(	(	PUNCT
ejpam-5956	331	17	k	k	NOUN
ejpam-5956	331	18	,	,	PUNCT
ejpam-5956	331	19	⟨ς	⟨ς	NOUN
ejpam-5956	331	20	,	,	PUNCT
ejpam-5956	331	21	κ	κ	NOUN
ejpam-5956	331	22	,	,	PUNCT
ejpam-5956	331	23	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	331	24	)	)	PUNCT
ejpam-5956	331	25	.	.	PUNCT
ejpam-5956	332	1	(	(	PUNCT
ejpam-5956	332	2	2	2	X
ejpam-5956	332	3	)	)	PUNCT
ejpam-5956	332	4	if	if	SCONJ
ejpam-5956	332	5	we	we	PRON
ejpam-5956	332	6	take	take	VERB
ejpam-5956	332	7	ℓp	ℓp	NOUN
ejpam-5956	332	8	=	=	PUNCT
ejpam-5956	332	9	ℓp1	ℓp1	ADJ
ejpam-5956	332	10	(	(	PUNCT
ejpam-5956	332	11	resp	resp	NOUN
ejpam-5956	332	12	.	.	PUNCT
ejpam-5956	333	1	ℓp	ℓp	NOUN
ejpam-5956	333	2	(	(	PUNCT
ejpam-5956	333	3	k	k	NOUN
ejpam-5956	333	4	)	)	PUNCT
ejpam-5956	333	5	≥	≥	NOUN
ejpam-5956	333	6	⟨ς	⟨ς	NOUN
ejpam-5956	333	7	,	,	PUNCT
ejpam-5956	333	8	κ	κ	NOUN
ejpam-5956	333	9	,	,	PUNCT
ejpam-5956	333	10	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	333	11	)	)	PUNCT
ejpam-5956	333	12	for	for	ADP
ejpam-5956	333	13	each	each	DET
ejpam-5956	333	14	k	k	PROPN
ejpam-5956	333	15	∈	∈	PROPN
ejpam-5956	333	16	(	(	PUNCT
ejpam-5956	333	17	i3	i3	NOUN
ejpam-5956	333	18	)	)	PUNCT
ejpam-5956	333	19	ξ	ξ	PROPN
ejpam-5956	333	20	we	we	PRON
ejpam-5956	333	21	have	have	VERB
ejpam-5956	333	22	φ(k	φ(k	PROPN
ejpam-5956	333	23	,	,	PUNCT
ejpam-5956	333	24	⟨ς	⟨ς	NOUN
ejpam-5956	333	25	,	,	PUNCT
ejpam-5956	333	26	κ	κ	NOUN
ejpam-5956	333	27	,	,	PUNCT
ejpam-5956	333	28	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	333	29	)	)	PUNCT
ejpam-5956	334	1	=	=	PUNCT
ejpam-5956	334	2	⟨0	⟨0	PROPN
ejpam-5956	334	3	,	,	PUNCT
ejpam-5956	334	4	1	1	NUM
ejpam-5956	334	5	,	,	PUNCT
ejpam-5956	334	6	0⟩.	0⟩.	NOUN
ejpam-5956	334	7	we	we	PRON
ejpam-5956	334	8	will	will	AUX
ejpam-5956	334	9	occasionally	occasionally	ADV
ejpam-5956	334	10	write	write	VERB
ejpam-5956	334	11	φ(k	φ(k	PROPN
ejpam-5956	334	12	,	,	PUNCT
ejpam-5956	334	13	⟨ς	⟨ς	NOUN
ejpam-5956	334	14	,	,	PUNCT
ejpam-5956	334	15	κ	κ	NOUN
ejpam-5956	334	16	,	,	PUNCT
ejpam-5956	334	17	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	334	18	)	)	PUNCT
ejpam-5956	334	19	or	or	CCONJ
ejpam-5956	334	20	φ(k	φ(k	PROPN
ejpam-5956	334	21	,	,	PUNCT
ejpam-5956	334	22	ℓp	ℓp	NOUN
ejpam-5956	334	23	,	,	PUNCT
ejpam-5956	334	24	⟨ς	⟨ς	NOUN
ejpam-5956	334	25	,	,	PUNCT
ejpam-5956	334	26	κ	κ	NOUN
ejpam-5956	334	27	,	,	PUNCT
ejpam-5956	334	28	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	334	29	)	)	PUNCT
ejpam-5956	334	30	for	for	ADP
ejpam-5956	334	31	φ(k	φ(k	PROPN
ejpam-5956	334	32	,	,	PUNCT
ejpam-5956	334	33	ℓp	ℓp	NOUN
ejpam-5956	334	34	,	,	PUNCT
ejpam-5956	334	35	τ	τ	PROPN
ejpam-5956	334	36	,	,	PUNCT
ejpam-5956	334	37	⟨ς	⟨ς	NOUN
ejpam-5956	334	38	,	,	PUNCT
ejpam-5956	334	39	κ	κ	NOUN
ejpam-5956	334	40	,	,	PUNCT
ejpam-5956	334	41	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	334	42	)	)	PUNCT
ejpam-5956	334	43	.	.	PUNCT
ejpam-5956	335	1	theorem	theorem	VERB
ejpam-5956	335	2	3.1	3.1	NUM
ejpam-5956	335	3	.	.	PUNCT
ejpam-5956	336	1	let	let	AUX
ejpam-5956	336	2	(	(	PUNCT
ejpam-5956	336	3	ξ	ξ	PROPN
ejpam-5956	336	4	,	,	PUNCT
ejpam-5956	336	5	τ	τ	X
ejpam-5956	336	6	,	,	PUNCT
ejpam-5956	336	7	ℓp	ℓp	ADJ
ejpam-5956	336	8	)	)	PUNCT
ejpam-5956	336	9	be	be	AUX
ejpam-5956	336	10	a	a	DET
ejpam-5956	336	11	picture	picture	NOUN
ejpam-5956	336	12	fuzzy	fuzzy	ADJ
ejpam-5956	336	13	ideal	ideal	ADJ
ejpam-5956	336	14	topological	topological	ADJ
ejpam-5956	336	15	space	space	NOUN
ejpam-5956	336	16	and	and	CCONJ
ejpam-5956	336	17	ℓp1	ℓp1	ADJ
ejpam-5956	336	18	,	,	PUNCT
ejpam-5956	336	19	ℓp2	ℓp2	PROPN
ejpam-5956	336	20	be	be	AUX
ejpam-5956	336	21	two	two	NUM
ejpam-5956	336	22	picture	picture	NOUN
ejpam-5956	336	23	fuzzy	fuzzy	ADJ
ejpam-5956	336	24	ideals	ideal	NOUN
ejpam-5956	336	25	on	on	ADP
ejpam-5956	336	26	ξ	ξ	PROPN
ejpam-5956	336	27	.	.	PUNCT
ejpam-5956	337	1	then	then	ADV
ejpam-5956	337	2	,	,	PUNCT
ejpam-5956	337	3	for	for	ADP
ejpam-5956	337	4	any	any	DET
ejpam-5956	337	5	set	set	NOUN
ejpam-5956	337	6	k	k	NOUN
ejpam-5956	337	7	,	,	PUNCT
ejpam-5956	337	8	q	q	PROPN
ejpam-5956	337	9	∈	∈	PROPN
ejpam-5956	337	10	(	(	PUNCT
ejpam-5956	337	11	i3	i3	NOUN
ejpam-5956	337	12	)	)	PUNCT
ejpam-5956	337	13	ξ	ξ	PROPN
ejpam-5956	337	14	,	,	PUNCT
ejpam-5956	337	15	ς	ς	PROPN
ejpam-5956	337	16	∈	∈	PROPN
ejpam-5956	337	17	i0,κ	i0,κ	PROPN
ejpam-5956	337	18	∈	∈	PROPN
ejpam-5956	337	19	i1	i1	PROPN
ejpam-5956	337	20	and	and	CCONJ
ejpam-5956	337	21	ϑ	ϑ	PROPN
ejpam-5956	337	22	∈	∈	PROPN
ejpam-5956	337	23	i1	i1	PROPN
ejpam-5956	337	24	.	.	PUNCT
ejpam-5956	338	1	(	(	PUNCT
ejpam-5956	338	2	1	1	X
ejpam-5956	338	3	)	)	PUNCT
ejpam-5956	338	4	φ	φ	PROPN
ejpam-5956	338	5	(	(	PUNCT
ejpam-5956	338	6	♭	♭	PROPN
ejpam-5956	338	7	,	,	PUNCT
ejpam-5956	338	8	⟨ς	⟨ς	NOUN
ejpam-5956	338	9	,	,	PUNCT
ejpam-5956	338	10	κ	κ	NOUN
ejpam-5956	338	11	,	,	PUNCT
ejpam-5956	338	12	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	338	13	)	)	PUNCT
ejpam-5956	338	14	=	=	PUNCT
ejpam-5956	339	1	⟨0	⟨0	PROPN
ejpam-5956	339	2	,	,	PUNCT
ejpam-5956	339	3	1	1	NUM
ejpam-5956	339	4	,	,	PUNCT
ejpam-5956	339	5	0⟩	0⟩	PROPN
ejpam-5956	339	6	.	.	PUNCT
ejpam-5956	340	1	(	(	PUNCT
ejpam-5956	340	2	2	2	X
ejpam-5956	340	3	)	)	PUNCT
ejpam-5956	340	4	if	if	SCONJ
ejpam-5956	340	5	k	k	PROPN
ejpam-5956	340	6	⊆	⊆	NUM
ejpam-5956	340	7	ch	ch	NOUN
ejpam-5956	340	8	,	,	PUNCT
ejpam-5956	340	9	then	then	ADV
ejpam-5956	340	10	φ(k	φ(k	PROPN
ejpam-5956	340	11	,	,	PUNCT
ejpam-5956	340	12	⟨ς	⟨ς	NOUN
ejpam-5956	340	13	,	,	PUNCT
ejpam-5956	340	14	κ	κ	NOUN
ejpam-5956	340	15	,	,	PUNCT
ejpam-5956	340	16	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	340	17	)	)	PUNCT
ejpam-5956	340	18	⊆	⊆	NUM
ejpam-5956	340	19	φ	φ	NUM
ejpam-5956	340	20	(	(	PUNCT
ejpam-5956	340	21	q	q	PROPN
ejpam-5956	340	22	,	,	PUNCT
ejpam-5956	340	23	⟨ς	⟨ς	NOUN
ejpam-5956	340	24	,	,	PUNCT
ejpam-5956	340	25	κ	κ	NOUN
ejpam-5956	340	26	,	,	PUNCT
ejpam-5956	340	27	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	340	28	)	)	PUNCT
ejpam-5956	340	29	.	.	PUNCT
ejpam-5956	341	1	(	(	PUNCT
ejpam-5956	341	2	3	3	X
ejpam-5956	341	3	)	)	PUNCT
ejpam-5956	341	4	if	if	SCONJ
ejpam-5956	341	5	ℓp2	ℓp2	PROPN
ejpam-5956	341	6	⊆	⊆	NUM
ejpam-5956	341	7	ℓp1	ℓp1	ADJ
ejpam-5956	341	8	,	,	PUNCT
ejpam-5956	341	9	then	then	ADV
ejpam-5956	341	10	φ(k	φ(k	PROPN
ejpam-5956	341	11	,	,	PUNCT
ejpam-5956	341	12	ℓp1	ℓp1	ADJ
ejpam-5956	341	13	,	,	PUNCT
ejpam-5956	341	14	⟨ς	⟨ς	NOUN
ejpam-5956	341	15	,	,	PUNCT
ejpam-5956	341	16	κ	κ	NOUN
ejpam-5956	341	17	,	,	PUNCT
ejpam-5956	341	18	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	341	19	)	)	PUNCT
ejpam-5956	341	20	⊆	⊆	NUM
ejpam-5956	341	21	φ(k	φ(k	PROPN
ejpam-5956	341	22	,	,	PUNCT
ejpam-5956	341	23	ℓp2	ℓp2	NOUN
ejpam-5956	341	24	,	,	PUNCT
ejpam-5956	341	25	⟨ς	⟨ς	NOUN
ejpam-5956	341	26	,	,	PUNCT
ejpam-5956	341	27	κ	κ	NOUN
ejpam-5956	341	28	,	,	PUNCT
ejpam-5956	341	29	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	341	30	)	)	PUNCT
ejpam-5956	341	31	.	.	PUNCT
ejpam-5956	342	1	(	(	PUNCT
ejpam-5956	342	2	4	4	X
ejpam-5956	342	3	)	)	PUNCT
ejpam-5956	342	4	φ(k	φ(k	PROPN
ejpam-5956	342	5	,	,	PUNCT
ejpam-5956	342	6	⟨ς	⟨ς	NOUN
ejpam-5956	342	7	,	,	PUNCT
ejpam-5956	342	8	κ	κ	NOUN
ejpam-5956	342	9	,	,	PUNCT
ejpam-5956	342	10	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	342	11	)	)	PUNCT
ejpam-5956	342	12	=	=	SYM
ejpam-5956	342	13	clτ	clτ	NOUN
ejpam-5956	342	14	(	(	PUNCT
ejpam-5956	342	15	φ(k	φ(k	PROPN
ejpam-5956	342	16	,	,	PUNCT
ejpam-5956	342	17	⟨ς	⟨ς	NOUN
ejpam-5956	342	18	,	,	PUNCT
ejpam-5956	342	19	κ	κ	NOUN
ejpam-5956	342	20	,	,	PUNCT
ejpam-5956	342	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	342	22	)	)	PUNCT
ejpam-5956	342	23	,	,	PUNCT
ejpam-5956	342	24	⟨ς	⟨ς	NOUN
ejpam-5956	342	25	,	,	PUNCT
ejpam-5956	342	26	κ	κ	NOUN
ejpam-5956	342	27	,	,	PUNCT
ejpam-5956	342	28	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	342	29	)	)	PUNCT
ejpam-5956	342	30	⊆	⊆	NUM
ejpam-5956	342	31	clτ	clτ	NOUN
ejpam-5956	342	32	(	(	PUNCT
ejpam-5956	342	33	k	k	NOUN
ejpam-5956	342	34	,	,	PUNCT
ejpam-5956	342	35	⟨ς	⟨ς	NOUN
ejpam-5956	342	36	,	,	PUNCT
ejpam-5956	342	37	κ	κ	NOUN
ejpam-5956	342	38	,	,	PUNCT
ejpam-5956	342	39	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	342	40	)	)	PUNCT
ejpam-5956	342	41	.	.	PUNCT
ejpam-5956	343	1	(	(	PUNCT
ejpam-5956	343	2	5	5	NUM
ejpam-5956	343	3	)	)	PUNCT
ejpam-5956	343	4	φ(φ(k	φ(φ(k	ADV
ejpam-5956	343	5	,	,	PUNCT
ejpam-5956	343	6	⟨ς	⟨ς	NOUN
ejpam-5956	343	7	,	,	PUNCT
ejpam-5956	343	8	κ	κ	NOUN
ejpam-5956	343	9	,	,	PUNCT
ejpam-5956	343	10	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	343	11	)	)	PUNCT
ejpam-5956	343	12	,	,	PUNCT
ejpam-5956	343	13	⟨ς	⟨ς	NOUN
ejpam-5956	343	14	,	,	PUNCT
ejpam-5956	343	15	κ	κ	NOUN
ejpam-5956	343	16	,	,	PUNCT
ejpam-5956	343	17	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	343	18	)	)	PUNCT
ejpam-5956	343	19	⊆	⊆	NUM
ejpam-5956	343	20	φ(k	φ(k	PROPN
ejpam-5956	343	21	,	,	PUNCT
ejpam-5956	343	22	⟨ς	⟨ς	NOUN
ejpam-5956	343	23	,	,	PUNCT
ejpam-5956	343	24	κ	κ	NOUN
ejpam-5956	343	25	,	,	PUNCT
ejpam-5956	343	26	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	343	27	)	)	PUNCT
ejpam-5956	343	28	and	and	CCONJ
ejpam-5956	343	29	ⅎ	ⅎ	X
ejpam-5956	343	30	(	(	PUNCT
ejpam-5956	343	31	φ(k	φ(k	PROPN
ejpam-5956	343	32	,	,	PUNCT
ejpam-5956	343	33	⟨ς	⟨ς	NOUN
ejpam-5956	343	34	,	,	PUNCT
ejpam-5956	343	35	κ	κ	NOUN
ejpam-5956	343	36	,	,	PUNCT
ejpam-5956	343	37	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	343	38	)	)	PUNCT
ejpam-5956	343	39	)	)	PUNCT
ejpam-5956	344	1	̸=	̸=	PROPN
ejpam-5956	344	2	φ(ⅎ	φ(ⅎ	VERB
ejpam-5956	344	3	k	k	PROPN
ejpam-5956	344	4	,	,	PUNCT
ejpam-5956	344	5	⟨ς	⟨ς	NOUN
ejpam-5956	344	6	,	,	PUNCT
ejpam-5956	344	7	κ	κ	NOUN
ejpam-5956	344	8	,	,	PUNCT
ejpam-5956	344	9	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	344	10	)	)	PUNCT
ejpam-5956	344	11	.	.	PUNCT
ejpam-5956	345	1	(	(	PUNCT
ejpam-5956	345	2	6	6	X
ejpam-5956	345	3	)	)	PUNCT
ejpam-5956	345	4	φ(k	φ(k	PROPN
ejpam-5956	345	5	∪	∪	ADP
ejpam-5956	345	6	q	q	X
ejpam-5956	345	7	,	,	PUNCT
ejpam-5956	345	8	⟨ς	⟨ς	NOUN
ejpam-5956	345	9	,	,	PUNCT
ejpam-5956	345	10	κ	κ	NOUN
ejpam-5956	345	11	,	,	PUNCT
ejpam-5956	345	12	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	345	13	)	)	PUNCT
ejpam-5956	345	14	⊇	⊇	PROPN
ejpam-5956	345	15	φ(k	φ(k	PROPN
ejpam-5956	345	16	,	,	PUNCT
ejpam-5956	345	17	⟨ς	⟨ς	NOUN
ejpam-5956	345	18	,	,	PUNCT
ejpam-5956	345	19	κ	κ	NOUN
ejpam-5956	345	20	,	,	PUNCT
ejpam-5956	345	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	345	22	)	)	PUNCT
ejpam-5956	345	23	∪	∪	ADP
ejpam-5956	345	24	φ	φ	PROPN
ejpam-5956	345	25	(	(	PUNCT
ejpam-5956	345	26	q	q	PROPN
ejpam-5956	345	27	,	,	PUNCT
ejpam-5956	345	28	⟨ς	⟨ς	NOUN
ejpam-5956	345	29	,	,	PUNCT
ejpam-5956	345	30	κ	κ	NOUN
ejpam-5956	345	31	,	,	PUNCT
ejpam-5956	345	32	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	345	33	)	)	PUNCT
ejpam-5956	345	34	and	and	CCONJ
ejpam-5956	345	35	φ(k∩	φ(k∩	PROPN
ejpam-5956	345	36	q	q	X
ejpam-5956	345	37	,	,	PUNCT
ejpam-5956	345	38	⟨ς	⟨ς	NOUN
ejpam-5956	345	39	,	,	PUNCT
ejpam-5956	345	40	κ	κ	NOUN
ejpam-5956	345	41	,	,	PUNCT
ejpam-5956	345	42	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	345	43	)	)	PUNCT
ejpam-5956	345	44	⊆	⊆	NUM
ejpam-5956	345	45	φ(k	φ(k	PROPN
ejpam-5956	345	46	,	,	PUNCT
ejpam-5956	345	47	⟨ς	⟨ς	NOUN
ejpam-5956	345	48	,	,	PUNCT
ejpam-5956	345	49	κ	κ	NOUN
ejpam-5956	345	50	,	,	PUNCT
ejpam-5956	345	51	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	345	52	)	)	PUNCT
ejpam-5956	345	53	∩	∩	NOUN
ejpam-5956	345	54	φ(ch	φ(ch	NOUN
ejpam-5956	345	55	,	,	PUNCT
ejpam-5956	345	56	⟨ς	⟨ς	NOUN
ejpam-5956	345	57	,	,	PUNCT
ejpam-5956	345	58	κ	κ	NOUN
ejpam-5956	345	59	,	,	PUNCT
ejpam-5956	345	60	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	345	61	)	)	PUNCT
ejpam-5956	345	62	.	.	PUNCT
ejpam-5956	346	1	(	(	PUNCT
ejpam-5956	346	2	7	7	X
ejpam-5956	346	3	)	)	PUNCT
ejpam-5956	346	4	if	if	SCONJ
ejpam-5956	346	5	ℓp	ℓp	NOUN
ejpam-5956	346	6	(	(	PUNCT
ejpam-5956	346	7	q	q	PROPN
ejpam-5956	346	8	)	)	PUNCT
ejpam-5956	346	9	≥	≥	NOUN
ejpam-5956	346	10	⟨ς	⟨ς	NOUN
ejpam-5956	346	11	,	,	PUNCT
ejpam-5956	346	12	κ	κ	NOUN
ejpam-5956	346	13	,	,	PUNCT
ejpam-5956	346	14	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	346	15	,	,	PUNCT
ejpam-5956	346	16	then	then	ADV
ejpam-5956	346	17	φ(k	φ(k	PROPN
ejpam-5956	346	18	∪	∪	ADP
ejpam-5956	346	19	q	q	X
ejpam-5956	346	20	,	,	PUNCT
ejpam-5956	346	21	⟨ς	⟨ς	NOUN
ejpam-5956	346	22	,	,	PUNCT
ejpam-5956	346	23	κ	κ	NOUN
ejpam-5956	346	24	,	,	PUNCT
ejpam-5956	346	25	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	346	26	)	)	PUNCT
ejpam-5956	346	27	⊇	⊇	PROPN
ejpam-5956	346	28	φ(k	φ(k	PROPN
ejpam-5956	346	29	,	,	PUNCT
ejpam-5956	346	30	⟨ς	⟨ς	NOUN
ejpam-5956	346	31	,	,	PUNCT
ejpam-5956	346	32	κ	κ	NOUN
ejpam-5956	346	33	,	,	PUNCT
ejpam-5956	346	34	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	346	35	)	)	PUNCT
ejpam-5956	346	36	.	.	PUNCT
ejpam-5956	347	1	proof	proof	NOUN
ejpam-5956	347	2	.	.	PUNCT
ejpam-5956	348	1	(	(	PUNCT
ejpam-5956	348	2	1	1	X
ejpam-5956	348	3	)	)	PUNCT
ejpam-5956	348	4	from	from	ADP
ejpam-5956	348	5	definition	definition	NOUN
ejpam-5956	348	6	3.3	3.3	NUM
ejpam-5956	348	7	,	,	PUNCT
ejpam-5956	348	8	we	we	PRON
ejpam-5956	348	9	have	have	VERB
ejpam-5956	348	10	φ	φ	NUM
ejpam-5956	348	11	(	(	PUNCT
ejpam-5956	348	12	♭	♭	PROPN
ejpam-5956	348	13	,	,	PUNCT
ejpam-5956	348	14	⟨ς	⟨ς	NOUN
ejpam-5956	348	15	,	,	PUNCT
ejpam-5956	348	16	κ	κ	NOUN
ejpam-5956	348	17	,	,	PUNCT
ejpam-5956	348	18	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	348	19	)	)	PUNCT
ejpam-5956	348	20	=	=	PUNCT
ejpam-5956	349	1	⟨0	⟨0	PROPN
ejpam-5956	349	2	,	,	PUNCT
ejpam-5956	349	3	1	1	NUM
ejpam-5956	349	4	,	,	PUNCT
ejpam-5956	349	5	0⟩.	0⟩.	PROPN
ejpam-5956	349	6	(	(	PUNCT
ejpam-5956	349	7	2	2	X
ejpam-5956	349	8	)	)	PUNCT
ejpam-5956	349	9	suppose	suppose	VERB
ejpam-5956	349	10	that	that	SCONJ
ejpam-5956	349	11	k	k	PROPN
ejpam-5956	349	12	⊆	⊆	NUM
ejpam-5956	349	13	q	q	NOUN
ejpam-5956	349	14	and	and	CCONJ
ejpam-5956	349	15	φ(k	φ(k	PROPN
ejpam-5956	349	16	,	,	PUNCT
ejpam-5956	349	17	⟨ς	⟨ς	NOUN
ejpam-5956	349	18	,	,	PUNCT
ejpam-5956	349	19	κ	κ	NOUN
ejpam-5956	349	20	,	,	PUNCT
ejpam-5956	349	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	349	22	)	)	PUNCT
ejpam-5956	349	23	⊈	⊈	PROPN
ejpam-5956	349	24	φ	φ	PROPN
ejpam-5956	349	25	(	(	PUNCT
ejpam-5956	349	26	q	q	PROPN
ejpam-5956	349	27	,	,	PUNCT
ejpam-5956	349	28	⟨ς	⟨ς	NOUN
ejpam-5956	349	29	,	,	PUNCT
ejpam-5956	349	30	κ	κ	NOUN
ejpam-5956	349	31	,	,	PUNCT
ejpam-5956	349	32	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	349	33	)	)	PUNCT
ejpam-5956	349	34	.	.	PUNCT
ejpam-5956	350	1	by	by	ADP
ejpam-5956	350	2	the	the	DET
ejpam-5956	350	3	definition	definition	NOUN
ejpam-5956	350	4	of	of	ADP
ejpam-5956	350	5	φ	φ	PROPN
ejpam-5956	350	6	(	(	PUNCT
ejpam-5956	350	7	q	q	PROPN
ejpam-5956	350	8	,	,	PUNCT
ejpam-5956	350	9	⟨ς	⟨ς	NOUN
ejpam-5956	350	10	,	,	PUNCT
ejpam-5956	350	11	κ	κ	NOUN
ejpam-5956	350	12	,	,	PUNCT
ejpam-5956	350	13	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	350	14	)	)	PUNCT
ejpam-5956	350	15	,	,	PUNCT
ejpam-5956	350	16	there	there	PRON
ejpam-5956	350	17	exists	exist	VERB
ejpam-5956	350	18	d∈	d∈	PROPN
ejpam-5956	350	19	(	(	PUNCT
ejpam-5956	350	20	i3	i3	PROPN
ejpam-5956	350	21	)	)	PUNCT
ejpam-5956	350	22	ξ	ξ	PROPN
ejpam-5956	350	23	with	with	ADP
ejpam-5956	350	24	φ	φ	PROPN
ejpam-5956	350	25	(	(	PUNCT
ejpam-5956	350	26	q	q	PROPN
ejpam-5956	350	27	,	,	PUNCT
ejpam-5956	350	28	⟨ς	⟨ς	NOUN
ejpam-5956	350	29	,	,	PUNCT
ejpam-5956	350	30	κ	κ	NOUN
ejpam-5956	350	31	,	,	PUNCT
ejpam-5956	350	32	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	350	33	)	)	PUNCT
ejpam-5956	350	34	⊆	⊆	NUM
ejpam-5956	350	35	d	d	NOUN
ejpam-5956	350	36	,	,	PUNCT
ejpam-5956	350	37	ℓp	ℓp	NOUN
ejpam-5956	350	38	(	(	PUNCT
ejpam-5956	350	39	q	q	NOUN
ejpam-5956	350	40	⊼	⊼	PROPN
ejpam-5956	350	41	d	d	NOUN
ejpam-5956	350	42	)	)	PUNCT
ejpam-5956	350	43	≥	≥	NOUN
ejpam-5956	350	44	⟨ς	⟨ς	NOUN
ejpam-5956	350	45	,	,	PUNCT
ejpam-5956	350	46	κ	κ	NOUN
ejpam-5956	350	47	,	,	PUNCT
ejpam-5956	350	48	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	350	49	,	,	PUNCT
ejpam-5956	350	50	τ(ⅎ	τ(ⅎ	PROPN
ejpam-5956	350	51	d	d	NOUN
ejpam-5956	350	52	)	)	PUNCT
ejpam-5956	350	53	≥	≥	NOUN
ejpam-5956	350	54	⟨ς	⟨ς	NOUN
ejpam-5956	350	55	,	,	PUNCT
ejpam-5956	350	56	κ	κ	NOUN
ejpam-5956	350	57	,	,	PUNCT
ejpam-5956	350	58	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	350	59	and	and	CCONJ
ejpam-5956	350	60	φ(k	φ(k	PROPN
ejpam-5956	350	61	,	,	PUNCT
ejpam-5956	350	62	⟨ς	⟨ς	NOUN
ejpam-5956	350	63	,	,	PUNCT
ejpam-5956	350	64	κ	κ	NOUN
ejpam-5956	350	65	,	,	PUNCT
ejpam-5956	350	66	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	350	67	)	)	PUNCT
ejpam-5956	350	68	⊈	⊈	PROPN
ejpam-5956	351	1	d.	d.	PROPN
ejpam-5956	351	2	also	also	ADV
ejpam-5956	351	3	,	,	PUNCT
ejpam-5956	351	4	k⊼	k⊼	PROPN
ejpam-5956	351	5	d⊆	d⊆	PROPN
ejpam-5956	351	6	q	q	PROPN
ejpam-5956	351	7	⊼	⊼	PROPN
ejpam-5956	351	8	d	d	NOUN
ejpam-5956	351	9	,	,	PUNCT
ejpam-5956	351	10	ℓp	ℓp	NOUN
ejpam-5956	351	11	(	(	PUNCT
ejpam-5956	351	12	k⊼	k⊼	PROPN
ejpam-5956	351	13	d	d	PROPN
ejpam-5956	351	14	)	)	PUNCT
ejpam-5956	351	15	≥	≥	PROPN
ejpam-5956	351	16	ℓp	ℓp	NOUN
ejpam-5956	351	17	(	(	PUNCT
ejpam-5956	351	18	q	q	NOUN
ejpam-5956	351	19	⊼	⊼	PROPN
ejpam-5956	351	20	d	d	NOUN
ejpam-5956	351	21	)	)	PUNCT
ejpam-5956	351	22	≥	≥	NOUN
ejpam-5956	351	23	⟨ς	⟨ς	NOUN
ejpam-5956	351	24	,	,	PUNCT
ejpam-5956	351	25	κ	κ	NOUN
ejpam-5956	351	26	,	,	PUNCT
ejpam-5956	351	27	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	351	28	,	,	PUNCT
ejpam-5956	351	29	hence	hence	ADV
ejpam-5956	351	30	φ(k	φ(k	PROPN
ejpam-5956	351	31	,	,	PUNCT
ejpam-5956	351	32	⟨ς	⟨ς	NOUN
ejpam-5956	351	33	,	,	PUNCT
ejpam-5956	351	34	κ	κ	NOUN
ejpam-5956	351	35	,	,	PUNCT
ejpam-5956	351	36	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	351	37	)	)	PUNCT
ejpam-5956	351	38	⊆	⊆	NUM
ejpam-5956	351	39	d	d	NOUN
ejpam-5956	351	40	,	,	PUNCT
ejpam-5956	351	41	it	it	PRON
ejpam-5956	351	42	is	be	AUX
ejpam-5956	351	43	a	a	DET
ejpam-5956	351	44	contradiction	contradiction	NOUN
ejpam-5956	351	45	.	.	PUNCT
ejpam-5956	352	1	thus	thus	ADV
ejpam-5956	352	2	,	,	PUNCT
ejpam-5956	352	3	φ(k	φ(k	PROPN
ejpam-5956	352	4	,	,	PUNCT
ejpam-5956	352	5	⟨ς	⟨ς	NOUN
ejpam-5956	352	6	,	,	PUNCT
ejpam-5956	352	7	κ	κ	NOUN
ejpam-5956	352	8	,	,	PUNCT
ejpam-5956	352	9	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	352	10	)	)	PUNCT
ejpam-5956	352	11	⊆	⊆	NUM
ejpam-5956	352	12	φ	φ	NUM
ejpam-5956	352	13	(	(	PUNCT
ejpam-5956	352	14	q	q	PROPN
ejpam-5956	352	15	,	,	PUNCT
ejpam-5956	352	16	⟨ς	⟨ς	NOUN
ejpam-5956	352	17	,	,	PUNCT
ejpam-5956	352	18	κ	κ	NOUN
ejpam-5956	352	19	,	,	PUNCT
ejpam-5956	352	20	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	352	21	)	)	PUNCT
ejpam-5956	352	22	.	.	PUNCT
ejpam-5956	353	1	(	(	PUNCT
ejpam-5956	353	2	3	3	X
ejpam-5956	353	3	)	)	PUNCT
ejpam-5956	353	4	suppose	suppose	VERB
ejpam-5956	353	5	that	that	SCONJ
ejpam-5956	353	6	φ(k	φ(k	PROPN
ejpam-5956	353	7	,	,	PUNCT
ejpam-5956	353	8	ℓp1	ℓp1	ADJ
ejpam-5956	353	9	,	,	PUNCT
ejpam-5956	353	10	⟨ς	⟨ς	NOUN
ejpam-5956	353	11	,	,	PUNCT
ejpam-5956	353	12	κ	κ	NOUN
ejpam-5956	353	13	,	,	PUNCT
ejpam-5956	353	14	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	353	15	)	)	PUNCT
ejpam-5956	353	16	⊈	⊈	PROPN
ejpam-5956	354	1	φ(k	φ(k	PROPN
ejpam-5956	354	2	,	,	PUNCT
ejpam-5956	354	3	ℓp2	ℓp2	NOUN
ejpam-5956	354	4	,	,	PUNCT
ejpam-5956	354	5	⟨ς	⟨ς	NOUN
ejpam-5956	354	6	,	,	PUNCT
ejpam-5956	354	7	κ	κ	NOUN
ejpam-5956	354	8	,	,	PUNCT
ejpam-5956	354	9	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	354	10	)	)	PUNCT
ejpam-5956	354	11	if	if	SCONJ
ejpam-5956	354	12	ℓp2	ℓp2	PROPN
ejpam-5956	354	13	⊆	⊆	NUM
ejpam-5956	354	14	ℓp1	ℓp1	ADJ
ejpam-5956	354	15	.	.	PUNCT
ejpam-5956	355	1	by	by	ADP
ejpam-5956	355	2	the	the	DET
ejpam-5956	355	3	definition	definition	NOUN
ejpam-5956	355	4	of	of	ADP
ejpam-5956	355	5	φ(k	φ(k	PROPN
ejpam-5956	355	6	,	,	PUNCT
ejpam-5956	355	7	ℓp2	ℓp2	NOUN
ejpam-5956	355	8	,	,	PUNCT
ejpam-5956	355	9	⟨ς	⟨ς	NOUN
ejpam-5956	355	10	,	,	PUNCT
ejpam-5956	355	11	κ	κ	NOUN
ejpam-5956	355	12	,	,	PUNCT
ejpam-5956	355	13	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	355	14	)	)	PUNCT
ejpam-5956	355	15	there	there	PRON
ejpam-5956	355	16	exists	exist	VERB
ejpam-5956	355	17	d∈	d∈	PROPN
ejpam-5956	355	18	(	(	PUNCT
ejpam-5956	355	19	i3	i3	PROPN
ejpam-5956	355	20	)	)	PUNCT
ejpam-5956	355	21	ξ	ξ	PROPN
ejpam-5956	355	22	with	with	ADP
ejpam-5956	355	23	φ(k	φ(k	PROPN
ejpam-5956	355	24	,	,	PUNCT
ejpam-5956	355	25	ℓp2	ℓp2	NOUN
ejpam-5956	355	26	,	,	PUNCT
ejpam-5956	355	27	⟨ς	⟨ς	NOUN
ejpam-5956	355	28	,	,	PUNCT
ejpam-5956	355	29	κ	κ	NOUN
ejpam-5956	355	30	,	,	PUNCT
ejpam-5956	355	31	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	355	32	)	)	PUNCT
ejpam-5956	355	33	⊆	⊆	NUM
ejpam-5956	355	34	d	d	NOUN
ejpam-5956	355	35	,	,	PUNCT
ejpam-5956	355	36	ℓp2	ℓp2	PROPN
ejpam-5956	355	37	(	(	PUNCT
ejpam-5956	355	38	k⊼	k⊼	NOUN
ejpam-5956	355	39	d	d	PROPN
ejpam-5956	355	40	)	)	PUNCT
ejpam-5956	355	41	≥	≥	NOUN
ejpam-5956	355	42	⟨ς	⟨ς	NOUN
ejpam-5956	355	43	,	,	PUNCT
ejpam-5956	355	44	κ	κ	NOUN
ejpam-5956	355	45	,	,	PUNCT
ejpam-5956	355	46	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	355	47	,	,	PUNCT
ejpam-5956	355	48	τ(ⅎ	τ(ⅎ	PROPN
ejpam-5956	355	49	d	d	NOUN
ejpam-5956	355	50	)	)	PUNCT
ejpam-5956	355	51	≥	≥	NOUN
ejpam-5956	355	52	⟨ς	⟨ς	NOUN
ejpam-5956	355	53	,	,	PUNCT
ejpam-5956	355	54	κ	κ	NOUN
ejpam-5956	355	55	,	,	PUNCT
ejpam-5956	355	56	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	355	57	such	such	ADJ
ejpam-5956	355	58	that	that	SCONJ
ejpam-5956	355	59	φ(k	φ(k	PROPN
ejpam-5956	355	60	,	,	PUNCT
ejpam-5956	355	61	ℓp1	ℓp1	ADJ
ejpam-5956	355	62	,	,	PUNCT
ejpam-5956	355	63	⟨ς	⟨ς	NOUN
ejpam-5956	355	64	,	,	PUNCT
ejpam-5956	355	65	κ	κ	NOUN
ejpam-5956	355	66	,	,	PUNCT
ejpam-5956	355	67	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	355	68	)	)	PUNCT
ejpam-5956	356	1	⊈	⊈	PROPN
ejpam-5956	357	1	d.	d.	NOUN
ejpam-5956	357	2	since	since	SCONJ
ejpam-5956	357	3	ℓp2	ℓp2	PROPN
ejpam-5956	357	4	⊆	⊆	NUM
ejpam-5956	357	5	ℓp1	ℓp1	ADJ
ejpam-5956	357	6	implies	imply	VERB
ejpam-5956	357	7	ℓp1	ℓp1	PROPN
ejpam-5956	357	8	(	(	PUNCT
ejpam-5956	357	9	k⊼	k⊼	PROPN
ejpam-5956	357	10	d	d	PROPN
ejpam-5956	357	11	)	)	PUNCT
ejpam-5956	357	12	≥	≥	NOUN
ejpam-5956	357	13	ℓp2	ℓp2	PROPN
ejpam-5956	357	14	(	(	PUNCT
ejpam-5956	357	15	k⊼	k⊼	PROPN
ejpam-5956	357	16	d	d	PROPN
ejpam-5956	357	17	)	)	PUNCT
ejpam-5956	357	18	≥	≥	NOUN
ejpam-5956	357	19	⟨ς	⟨ς	NOUN
ejpam-5956	357	20	,	,	PUNCT
ejpam-5956	357	21	κ	κ	NOUN
ejpam-5956	357	22	,	,	PUNCT
ejpam-5956	357	23	ϑ⟩.	ϑ⟩.	VERB
ejpam-5956	357	24	hence	hence	ADV
ejpam-5956	357	25	,	,	PUNCT
ejpam-5956	357	26	φ(k	φ(k	PROPN
ejpam-5956	357	27	,	,	PUNCT
ejpam-5956	357	28	ℓp1	ℓp1	ADJ
ejpam-5956	357	29	,	,	PUNCT
ejpam-5956	357	30	⟨ς	⟨ς	NOUN
ejpam-5956	357	31	,	,	PUNCT
ejpam-5956	357	32	κ	κ	NOUN
ejpam-5956	357	33	,	,	PUNCT
ejpam-5956	357	34	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	357	35	)	)	PUNCT
ejpam-5956	357	36	⊆d	⊆d	NOUN
ejpam-5956	357	37	,	,	PUNCT
ejpam-5956	357	38	it	it	PRON
ejpam-5956	357	39	is	be	AUX
ejpam-5956	357	40	a	a	DET
ejpam-5956	357	41	contradiction	contradiction	NOUN
ejpam-5956	357	42	.	.	PUNCT
ejpam-5956	358	1	then	then	ADV
ejpam-5956	358	2	,	,	PUNCT
ejpam-5956	358	3	φ(k	φ(k	PROPN
ejpam-5956	358	4	,	,	PUNCT
ejpam-5956	358	5	ℓp1	ℓp1	ADJ
ejpam-5956	358	6	,	,	PUNCT
ejpam-5956	358	7	⟨ς	⟨ς	NOUN
ejpam-5956	358	8	,	,	PUNCT
ejpam-5956	358	9	κ	κ	NOUN
ejpam-5956	358	10	,	,	PUNCT
ejpam-5956	358	11	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	358	12	)	)	PUNCT
ejpam-5956	359	1	⊆	⊆	NUM
ejpam-5956	359	2	φ(k	φ(k	PROPN
ejpam-5956	359	3	,	,	PUNCT
ejpam-5956	359	4	ℓp2	ℓp2	NOUN
ejpam-5956	359	5	,	,	PUNCT
ejpam-5956	359	6	⟨ς	⟨ς	NOUN
ejpam-5956	359	7	,	,	PUNCT
ejpam-5956	359	8	κ	κ	NOUN
ejpam-5956	359	9	,	,	PUNCT
ejpam-5956	359	10	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	359	11	)	)	PUNCT
ejpam-5956	359	12	.	.	PUNCT
ejpam-5956	360	1	(	(	PUNCT
ejpam-5956	360	2	4	4	NUM
ejpam-5956	360	3	)	)	PUNCT
ejpam-5956	360	4	from	from	ADP
ejpam-5956	360	5	definition	definition	NOUN
ejpam-5956	360	6	3.3	3.3	NUM
ejpam-5956	360	7	,	,	PUNCT
ejpam-5956	360	8	we	we	PRON
ejpam-5956	360	9	have	have	VERB
ejpam-5956	360	10	φ(k	φ(k	PROPN
ejpam-5956	360	11	,	,	PUNCT
ejpam-5956	360	12	⟨ς	⟨ς	NOUN
ejpam-5956	360	13	,	,	PUNCT
ejpam-5956	360	14	κ	κ	NOUN
ejpam-5956	360	15	,	,	PUNCT
ejpam-5956	360	16	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	360	17	)	)	PUNCT
ejpam-5956	361	1	=	=	SYM
ejpam-5956	361	2	cl	cl	NOUN
ejpam-5956	361	3	(	(	PUNCT
ejpam-5956	361	4	φ(k	φ(k	PROPN
ejpam-5956	361	5	,	,	PUNCT
ejpam-5956	361	6	⟨ς	⟨ς	NOUN
ejpam-5956	361	7	,	,	PUNCT
ejpam-5956	361	8	κ	κ	NOUN
ejpam-5956	361	9	,	,	PUNCT
ejpam-5956	361	10	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	361	11	)	)	PUNCT
ejpam-5956	361	12	,	,	PUNCT
ejpam-5956	361	13	⟨ς	⟨ς	NOUN
ejpam-5956	361	14	,	,	PUNCT
ejpam-5956	361	15	κ	κ	NOUN
ejpam-5956	361	16	,	,	PUNCT
ejpam-5956	361	17	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	361	18	)	)	PUNCT
ejpam-5956	361	19	.	.	PUNCT
ejpam-5956	362	1	since	since	SCONJ
ejpam-5956	362	2	ℓp0	ℓp0	VERB
ejpam-5956	362	3	⊆	⊆	NUM
ejpam-5956	362	4	ℓp	ℓp	NOUN
ejpam-5956	362	5	for	for	ADP
ejpam-5956	362	6	any	any	DET
ejpam-5956	362	7	picture	picture	NOUN
ejpam-5956	362	8	fuzzy	fuzzy	ADJ
ejpam-5956	362	9	ideal	ideal	ADJ
ejpam-5956	362	10	ℓp	ℓp	NOUN
ejpam-5956	362	11	,	,	PUNCT
ejpam-5956	362	12	φ(k	φ(k	PROPN
ejpam-5956	362	13	,	,	PUNCT
ejpam-5956	362	14	ℓp	ℓp	NOUN
ejpam-5956	362	15	,	,	PUNCT
ejpam-5956	362	16	⟨ς	⟨ς	NOUN
ejpam-5956	362	17	,	,	PUNCT
ejpam-5956	362	18	κ	κ	NOUN
ejpam-5956	362	19	,	,	PUNCT
ejpam-5956	362	20	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	362	21	)	)	PUNCT
ejpam-5956	362	22	⊆	⊆	NUM
ejpam-5956	362	23	φ(k	φ(k	PROPN
ejpam-5956	362	24	,	,	PUNCT
ejpam-5956	362	25	ℓp0	ℓp0	NOUN
ejpam-5956	362	26	,	,	PUNCT
ejpam-5956	362	27	⟨ς	⟨ς	NOUN
ejpam-5956	362	28	,	,	PUNCT
ejpam-5956	362	29	κ	κ	NOUN
ejpam-5956	362	30	,	,	PUNCT
ejpam-5956	362	31	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	362	32	)	)	PUNCT
ejpam-5956	363	1	=	=	SYM
ejpam-5956	363	2	cl	cl	NOUN
ejpam-5956	363	3	(	(	PUNCT
ejpam-5956	363	4	k	k	NOUN
ejpam-5956	363	5	,	,	PUNCT
ejpam-5956	363	6	⟨ς	⟨ς	NOUN
ejpam-5956	363	7	,	,	PUNCT
ejpam-5956	363	8	κ	κ	NOUN
ejpam-5956	363	9	,	,	PUNCT
ejpam-5956	363	10	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	363	11	)	)	PUNCT
ejpam-5956	363	12	.	.	PUNCT
ejpam-5956	364	1	thus	thus	ADV
ejpam-5956	364	2	,	,	PUNCT
ejpam-5956	364	3	φ(k	φ(k	PROPN
ejpam-5956	364	4	,	,	PUNCT
ejpam-5956	364	5	⟨ς	⟨ς	NOUN
ejpam-5956	364	6	,	,	PUNCT
ejpam-5956	364	7	κ	κ	NOUN
ejpam-5956	364	8	,	,	PUNCT
ejpam-5956	364	9	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	364	10	)	)	PUNCT
ejpam-5956	364	11	=	=	SYM
ejpam-5956	364	12	cl	cl	NOUN
ejpam-5956	364	13	(	(	PUNCT
ejpam-5956	364	14	φ(k	φ(k	PROPN
ejpam-5956	364	15	,	,	PUNCT
ejpam-5956	364	16	⟨ς	⟨ς	NOUN
ejpam-5956	364	17	,	,	PUNCT
ejpam-5956	364	18	κ	κ	NOUN
ejpam-5956	364	19	,	,	PUNCT
ejpam-5956	364	20	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	364	21	)	)	PUNCT
ejpam-5956	364	22	,	,	PUNCT
ejpam-5956	364	23	⟨ς	⟨ς	NOUN
ejpam-5956	364	24	,	,	PUNCT
ejpam-5956	364	25	κ	κ	NOUN
ejpam-5956	364	26	,	,	PUNCT
ejpam-5956	364	27	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	364	28	)	)	PUNCT
ejpam-5956	364	29	⊆	⊆	NUM
ejpam-5956	364	30	cl	cl	NOUN
ejpam-5956	364	31	(	(	PUNCT
ejpam-5956	364	32	k	k	NOUN
ejpam-5956	364	33	,	,	PUNCT
ejpam-5956	364	34	⟨ς	⟨ς	NOUN
ejpam-5956	364	35	,	,	PUNCT
ejpam-5956	364	36	κ	κ	NOUN
ejpam-5956	364	37	,	,	PUNCT
ejpam-5956	364	38	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	364	39	)	)	PUNCT
ejpam-5956	364	40	.	.	PUNCT
ejpam-5956	365	1	(	(	PUNCT
ejpam-5956	365	2	5	5	NUM
ejpam-5956	365	3	)	)	PUNCT
ejpam-5956	365	4	by	by	ADP
ejpam-5956	365	5	(	(	PUNCT
ejpam-5956	365	6	4	4	NUM
ejpam-5956	365	7	)	)	PUNCT
ejpam-5956	365	8	,	,	PUNCT
ejpam-5956	365	9	we	we	PRON
ejpam-5956	365	10	have	have	VERB
ejpam-5956	365	11	φ(φ(k	φ(φ(k	PROPN
ejpam-5956	365	12	,	,	PUNCT
ejpam-5956	365	13	⟨ς	⟨ς	NOUN
ejpam-5956	365	14	,	,	PUNCT
ejpam-5956	365	15	κ	κ	NOUN
ejpam-5956	365	16	,	,	PUNCT
ejpam-5956	365	17	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	365	18	)	)	PUNCT
ejpam-5956	365	19	,	,	PUNCT
ejpam-5956	365	20	⟨ς	⟨ς	NOUN
ejpam-5956	365	21	,	,	PUNCT
ejpam-5956	365	22	κ	κ	NOUN
ejpam-5956	365	23	,	,	PUNCT
ejpam-5956	365	24	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	365	25	)	)	PUNCT
ejpam-5956	365	26	=	=	SYM
ejpam-5956	365	27	cl	cl	NOUN
ejpam-5956	365	28	(	(	PUNCT
ejpam-5956	365	29	φ(φ(k	φ(φ(k	PROPN
ejpam-5956	365	30	,	,	PUNCT
ejpam-5956	365	31	⟨ς	⟨ς	NOUN
ejpam-5956	365	32	,	,	PUNCT
ejpam-5956	365	33	κ	κ	NOUN
ejpam-5956	365	34	,	,	PUNCT
ejpam-5956	365	35	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	365	36	)	)	PUNCT
ejpam-5956	365	37	,	,	PUNCT
ejpam-5956	365	38	⟨ς	⟨ς	NOUN
ejpam-5956	365	39	,	,	PUNCT
ejpam-5956	365	40	κ	κ	NOUN
ejpam-5956	365	41	,	,	PUNCT
ejpam-5956	365	42	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	365	43	)	)	PUNCT
ejpam-5956	365	44	,	,	PUNCT
ejpam-5956	365	45	⟨ς	⟨ς	NOUN
ejpam-5956	365	46	,	,	PUNCT
ejpam-5956	365	47	κ	κ	NOUN
ejpam-5956	365	48	,	,	PUNCT
ejpam-5956	365	49	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	365	50	)	)	PUNCT
ejpam-5956	365	51	⊆	⊆	NUM
ejpam-5956	365	52	cl	cl	NOUN
ejpam-5956	365	53	(	(	PUNCT
ejpam-5956	365	54	φ(k	φ(k	PROPN
ejpam-5956	365	55	,	,	PUNCT
ejpam-5956	365	56	⟨ς	⟨ς	NOUN
ejpam-5956	365	57	,	,	PUNCT
ejpam-5956	365	58	κ	κ	NOUN
ejpam-5956	365	59	,	,	PUNCT
ejpam-5956	365	60	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	365	61	)	)	PUNCT
ejpam-5956	365	62	,	,	PUNCT
ejpam-5956	365	63	⟨ς	⟨ς	NOUN
ejpam-5956	365	64	,	,	PUNCT
ejpam-5956	365	65	κ	κ	NOUN
ejpam-5956	365	66	,	,	PUNCT
ejpam-5956	365	67	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	365	68	)	)	PUNCT
ejpam-5956	365	69	=	=	PUNCT
ejpam-5956	366	1	φ(k	φ(k	PROPN
ejpam-5956	366	2	,	,	PUNCT
ejpam-5956	366	3	⟨ς	⟨ς	NOUN
ejpam-5956	366	4	,	,	PUNCT
ejpam-5956	366	5	κ	κ	NOUN
ejpam-5956	366	6	,	,	PUNCT
ejpam-5956	366	7	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	366	8	)	)	PUNCT
ejpam-5956	366	9	.	.	PUNCT
ejpam-5956	367	1	in	in	ADP
ejpam-5956	367	2	general	general	ADJ
ejpam-5956	367	3	the	the	DET
ejpam-5956	367	4	converse	converse	NOUN
ejpam-5956	367	5	is	be	AUX
ejpam-5956	367	6	not	not	PART
ejpam-5956	367	7	true	true	ADJ
ejpam-5956	367	8	as	as	SCONJ
ejpam-5956	367	9	will	will	AUX
ejpam-5956	367	10	be	be	AUX
ejpam-5956	367	11	shown	show	VERB
ejpam-5956	367	12	in	in	ADP
ejpam-5956	367	13	example	example	NOUN
ejpam-5956	367	14	3.1	3.1	NUM
ejpam-5956	367	15	.	.	PUNCT
ejpam-5956	368	1	(	(	PUNCT
ejpam-5956	368	2	6	6	NUM
ejpam-5956	368	3	)	)	PUNCT
ejpam-5956	368	4	since	since	SCONJ
ejpam-5956	368	5	k	k	PROPN
ejpam-5956	368	6	⊆	⊆	NUM
ejpam-5956	368	7	k	k	X
ejpam-5956	368	8	∪	∪	X
ejpam-5956	368	9	q	q	PROPN
ejpam-5956	368	10	and	and	CCONJ
ejpam-5956	368	11	q	q	PROPN
ejpam-5956	369	1	⊆	⊆	NUM
ejpam-5956	369	2	k	k	NOUN
ejpam-5956	369	3	∪	∪	PROPN
ejpam-5956	369	4	q	q	NOUN
ejpam-5956	369	5	,	,	PUNCT
ejpam-5956	369	6	φ(k	φ(k	PROPN
ejpam-5956	369	7	,	,	PUNCT
ejpam-5956	369	8	⟨ς	⟨ς	NOUN
ejpam-5956	369	9	,	,	PUNCT
ejpam-5956	369	10	κ	κ	NOUN
ejpam-5956	369	11	,	,	PUNCT
ejpam-5956	369	12	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	369	13	)	)	PUNCT
ejpam-5956	369	14	⊆	⊆	NUM
ejpam-5956	369	15	φ(k	φ(k	PROPN
ejpam-5956	369	16	∪	∪	ADP
ejpam-5956	369	17	q	q	X
ejpam-5956	369	18	,	,	PUNCT
ejpam-5956	369	19	⟨ς	⟨ς	NOUN
ejpam-5956	369	20	,	,	PUNCT
ejpam-5956	369	21	κ	κ	NOUN
ejpam-5956	369	22	,	,	PUNCT
ejpam-5956	369	23	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	369	24	)	)	PUNCT
ejpam-5956	369	25	and	and	CCONJ
ejpam-5956	369	26	φ	φ	PROPN
ejpam-5956	369	27	(	(	PUNCT
ejpam-5956	369	28	q	q	X
ejpam-5956	369	29	,	,	PUNCT
ejpam-5956	369	30	⟨ς	⟨ς	NOUN
ejpam-5956	369	31	,	,	PUNCT
ejpam-5956	369	32	κ	κ	NOUN
ejpam-5956	369	33	,	,	PUNCT
ejpam-5956	369	34	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	369	35	)	)	PUNCT
ejpam-5956	369	36	⊆	⊆	NUM
ejpam-5956	369	37	φ(k	φ(k	PROPN
ejpam-5956	369	38	∪	∪	ADP
ejpam-5956	369	39	q	q	X
ejpam-5956	369	40	,	,	PUNCT
ejpam-5956	369	41	⟨ς	⟨ς	NOUN
ejpam-5956	369	42	,	,	PUNCT
ejpam-5956	369	43	κ	κ	NOUN
ejpam-5956	369	44	,	,	PUNCT
ejpam-5956	369	45	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	369	46	)	)	PUNCT
ejpam-5956	369	47	.	.	PUNCT
ejpam-5956	370	1	thus	thus	ADV
ejpam-5956	370	2	,	,	PUNCT
ejpam-5956	370	3	φ(k	φ(k	PROPN
ejpam-5956	370	4	,	,	PUNCT
ejpam-5956	370	5	⟨ς	⟨ς	NOUN
ejpam-5956	370	6	,	,	PUNCT
ejpam-5956	370	7	κ	κ	NOUN
ejpam-5956	370	8	,	,	PUNCT
ejpam-5956	370	9	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	370	10	)	)	PUNCT
ejpam-5956	370	11	∪	∪	ADP
ejpam-5956	370	12	φ	φ	PROPN
ejpam-5956	370	13	(	(	PUNCT
ejpam-5956	370	14	q	q	PROPN
ejpam-5956	370	15	,	,	PUNCT
ejpam-5956	370	16	⟨ς	⟨ς	NOUN
ejpam-5956	370	17	,	,	PUNCT
ejpam-5956	370	18	κ	κ	NOUN
ejpam-5956	370	19	,	,	PUNCT
ejpam-5956	370	20	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	370	21	)	)	PUNCT
ejpam-5956	370	22	⊆	⊆	NUM
ejpam-5956	370	23	φ(k	φ(k	PROPN
ejpam-5956	370	24	∪	∪	ADP
ejpam-5956	370	25	q	q	X
ejpam-5956	370	26	,	,	PUNCT
ejpam-5956	370	27	⟨ς	⟨ς	NOUN
ejpam-5956	370	28	,	,	PUNCT
ejpam-5956	370	29	κ	κ	NOUN
ejpam-5956	370	30	,	,	PUNCT
ejpam-5956	370	31	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	370	32	)	)	PUNCT
ejpam-5956	370	33	.	.	PUNCT
ejpam-5956	371	1	also	also	ADV
ejpam-5956	371	2	,	,	PUNCT
ejpam-5956	371	3	k∩	k∩	PROPN
ejpam-5956	371	4	q	q	PROPN
ejpam-5956	371	5	⊆	⊆	NUM
ejpam-5956	371	6	k	k	PROPN
ejpam-5956	371	7	and	and	CCONJ
ejpam-5956	371	8	k∩	k∩	PROPN
ejpam-5956	371	9	q	q	PROPN
ejpam-5956	372	1	⊆	⊆	NUM
ejpam-5956	372	2	q	q	NOUN
ejpam-5956	372	3	,	,	PUNCT
ejpam-5956	372	4	φ(k∩	φ(k∩	PROPN
ejpam-5956	372	5	q	q	X
ejpam-5956	372	6	,	,	PUNCT
ejpam-5956	372	7	⟨ς	⟨ς	NOUN
ejpam-5956	372	8	,	,	PUNCT
ejpam-5956	372	9	κ	κ	NOUN
ejpam-5956	372	10	,	,	PUNCT
ejpam-5956	372	11	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	372	12	)	)	PUNCT
ejpam-5956	372	13	⊆	⊆	NUM
ejpam-5956	372	14	φ(k	φ(k	PROPN
ejpam-5956	372	15	,	,	PUNCT
ejpam-5956	372	16	⟨ς	⟨ς	NOUN
ejpam-5956	372	17	,	,	PUNCT
ejpam-5956	372	18	κ	κ	NOUN
ejpam-5956	372	19	,	,	PUNCT
ejpam-5956	372	20	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	372	21	)	)	PUNCT
ejpam-5956	372	22	and	and	CCONJ
ejpam-5956	372	23	φ(k∩	φ(k∩	PROPN
ejpam-5956	372	24	q	q	X
ejpam-5956	372	25	,	,	PUNCT
ejpam-5956	372	26	⟨ς	⟨ς	NOUN
ejpam-5956	372	27	,	,	PUNCT
ejpam-5956	372	28	κ	κ	NOUN
ejpam-5956	372	29	,	,	PUNCT
ejpam-5956	372	30	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	372	31	)	)	PUNCT
ejpam-5956	372	32	⊆	⊆	NUM
ejpam-5956	372	33	φ	φ	NUM
ejpam-5956	372	34	(	(	PUNCT
ejpam-5956	372	35	q	q	PROPN
ejpam-5956	372	36	,	,	PUNCT
ejpam-5956	372	37	⟨ς	⟨ς	NOUN
ejpam-5956	372	38	,	,	PUNCT
ejpam-5956	372	39	κ	κ	NOUN
ejpam-5956	372	40	,	,	PUNCT
ejpam-5956	372	41	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	372	42	)	)	PUNCT
ejpam-5956	372	43	.	.	PUNCT
ejpam-5956	373	1	thus	thus	ADV
ejpam-5956	373	2	,	,	PUNCT
ejpam-5956	373	3	φ(k∩	φ(k∩	PROPN
ejpam-5956	373	4	q	q	X
ejpam-5956	373	5	,	,	PUNCT
ejpam-5956	373	6	⟨ς	⟨ς	NOUN
ejpam-5956	373	7	,	,	PUNCT
ejpam-5956	373	8	κ	κ	NOUN
ejpam-5956	373	9	,	,	PUNCT
ejpam-5956	373	10	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	373	11	)	)	PUNCT
ejpam-5956	373	12	⊆	⊆	NUM
ejpam-5956	373	13	φ(k	φ(k	PROPN
ejpam-5956	373	14	,	,	PUNCT
ejpam-5956	373	15	⟨ς	⟨ς	NOUN
ejpam-5956	373	16	,	,	PUNCT
ejpam-5956	373	17	κ	κ	NOUN
ejpam-5956	373	18	,	,	PUNCT
ejpam-5956	373	19	ϑ⟩)∩φ	ϑ⟩)∩φ	PROPN
ejpam-5956	373	20	(	(	PUNCT
ejpam-5956	373	21	q	q	X
ejpam-5956	373	22	,	,	PUNCT
ejpam-5956	373	23	⟨ς	⟨ς	NOUN
ejpam-5956	373	24	,	,	PUNCT
ejpam-5956	373	25	κ	κ	NOUN
ejpam-5956	373	26	,	,	PUNCT
ejpam-5956	373	27	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	373	28	)	)	PUNCT
ejpam-5956	373	29	.	.	PUNCT
ejpam-5956	374	1	(	(	PUNCT
ejpam-5956	374	2	7	7	X
ejpam-5956	374	3	)	)	PUNCT
ejpam-5956	374	4	since	since	SCONJ
ejpam-5956	374	5	ℓp	ℓp	NOUN
ejpam-5956	374	6	(	(	PUNCT
ejpam-5956	374	7	q	q	PROPN
ejpam-5956	374	8	)	)	PUNCT
ejpam-5956	374	9	⊇	⊇	PROPN
ejpam-5956	374	10	⟨ς	⟨ς	PROPN
ejpam-5956	374	11	,	,	PUNCT
ejpam-5956	374	12	κ	κ	NOUN
ejpam-5956	374	13	,	,	PUNCT
ejpam-5956	374	14	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	374	15	,	,	PUNCT
ejpam-5956	374	16	φ	φ	X
ejpam-5956	374	17	(	(	PUNCT
ejpam-5956	374	18	q	q	X
ejpam-5956	374	19	,	,	PUNCT
ejpam-5956	374	20	⟨ς	⟨ς	NOUN
ejpam-5956	374	21	,	,	PUNCT
ejpam-5956	374	22	κ	κ	NOUN
ejpam-5956	374	23	,	,	PUNCT
ejpam-5956	374	24	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	374	25	)	)	PUNCT
ejpam-5956	374	26	=	=	PUNCT
ejpam-5956	375	1	⟨0	⟨0	PROPN
ejpam-5956	375	2	,	,	PUNCT
ejpam-5956	375	3	1	1	NUM
ejpam-5956	375	4	,	,	PUNCT
ejpam-5956	375	5	0⟩	0⟩	PROPN
ejpam-5956	375	6	.	.	PUNCT
ejpam-5956	376	1	thus	thus	ADV
ejpam-5956	376	2	,	,	PUNCT
ejpam-5956	376	3	φ(k	φ(k	PROPN
ejpam-5956	376	4	∪	∪	ADP
ejpam-5956	376	5	q	q	X
ejpam-5956	376	6	,	,	PUNCT
ejpam-5956	376	7	⟨ς	⟨ς	NOUN
ejpam-5956	376	8	,	,	PUNCT
ejpam-5956	376	9	κ	κ	NOUN
ejpam-5956	376	10	,	,	PUNCT
ejpam-5956	376	11	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	376	12	)	)	PUNCT
ejpam-5956	376	13	⊇	⊇	PROPN
ejpam-5956	376	14	φ(k	φ(k	PROPN
ejpam-5956	376	15	,	,	PUNCT
ejpam-5956	376	16	⟨ς	⟨ς	NOUN
ejpam-5956	376	17	,	,	PUNCT
ejpam-5956	376	18	κ	κ	NOUN
ejpam-5956	376	19	,	,	PUNCT
ejpam-5956	376	20	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	376	21	)	)	PUNCT
ejpam-5956	376	22	∪	∪	ADP
ejpam-5956	376	23	φ	φ	PROPN
ejpam-5956	376	24	(	(	PUNCT
ejpam-5956	376	25	q	q	PROPN
ejpam-5956	376	26	,	,	PUNCT
ejpam-5956	376	27	⟨ς	⟨ς	NOUN
ejpam-5956	376	28	,	,	PUNCT
ejpam-5956	376	29	κ	κ	NOUN
ejpam-5956	376	30	,	,	PUNCT
ejpam-5956	376	31	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	376	32	)	)	PUNCT
ejpam-5956	376	33	⊇	⊇	PROPN
ejpam-5956	376	34	φ(k	φ(k	PROPN
ejpam-5956	376	35	,	,	PUNCT
ejpam-5956	376	36	⟨ς	⟨ς	NOUN
ejpam-5956	376	37	,	,	PUNCT
ejpam-5956	376	38	κ	κ	NOUN
ejpam-5956	376	39	,	,	PUNCT
ejpam-5956	376	40	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	376	41	)	)	PUNCT
ejpam-5956	376	42	.	.	PUNCT
ejpam-5956	377	1	dali	dali	PROPN
ejpam-5956	377	2	shi	shi	PROPN
ejpam-5956	377	3	et	et	PROPN
ejpam-5956	377	4	al	al	PROPN
ejpam-5956	377	5	.	.	PUNCT
ejpam-5956	377	6	/	/	SYM
ejpam-5956	377	7	eur	eur	PROPN
ejpam-5956	377	8	.	.	PUNCT
ejpam-5956	378	1	j.	j.	PROPN
ejpam-5956	378	2	pure	pure	PROPN
ejpam-5956	378	3	appl	appl	PROPN
ejpam-5956	378	4	.	.	PROPN
ejpam-5956	378	5	math	math	PROPN
ejpam-5956	378	6	,	,	PUNCT
ejpam-5956	378	7	18	18	NUM
ejpam-5956	378	8	(	(	PUNCT
ejpam-5956	378	9	2	2	NUM
ejpam-5956	378	10	)	)	PUNCT
ejpam-5956	378	11	(	(	PUNCT
ejpam-5956	378	12	2025	2025	NUM
ejpam-5956	378	13	)	)	PUNCT
ejpam-5956	378	14	,	,	PUNCT
ejpam-5956	378	15	5956	5956	NUM
ejpam-5956	378	16	13	13	NUM
ejpam-5956	378	17	of	of	ADP
ejpam-5956	378	18	30	30	NUM
ejpam-5956	378	19	the	the	DET
ejpam-5956	378	20	following	follow	VERB
ejpam-5956	378	21	example	example	NOUN
ejpam-5956	378	22	shows	show	VERB
ejpam-5956	378	23	that	that	SCONJ
ejpam-5956	378	24	generally	generally	ADV
ejpam-5956	378	25	φ(φ(k	φ(φ(k	PROPN
ejpam-5956	378	26	,	,	PUNCT
ejpam-5956	378	27	⟨ς	⟨ς	NOUN
ejpam-5956	378	28	,	,	PUNCT
ejpam-5956	378	29	κ	κ	NOUN
ejpam-5956	378	30	,	,	PUNCT
ejpam-5956	378	31	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	378	32	)	)	PUNCT
ejpam-5956	378	33	,	,	PUNCT
ejpam-5956	378	34	⟨ς	⟨ς	NOUN
ejpam-5956	378	35	,	,	PUNCT
ejpam-5956	378	36	κ	κ	NOUN
ejpam-5956	378	37	,	,	PUNCT
ejpam-5956	378	38	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	378	39	)	)	PUNCT
ejpam-5956	378	40	̸=	̸=	PROPN
ejpam-5956	378	41	φ(k	φ(k	PROPN
ejpam-5956	378	42	,	,	PUNCT
ejpam-5956	378	43	⟨ς	⟨ς	NOUN
ejpam-5956	378	44	,	,	PUNCT
ejpam-5956	378	45	κ	κ	NOUN
ejpam-5956	378	46	,	,	PUNCT
ejpam-5956	378	47	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	378	48	)	)	PUNCT
ejpam-5956	378	49	,	,	PUNCT
ejpam-5956	378	50	and	and	CCONJ
ejpam-5956	378	51	ⅎ	ⅎ	X
ejpam-5956	378	52	(	(	PUNCT
ejpam-5956	378	53	φ(k	φ(k	PROPN
ejpam-5956	378	54	,	,	PUNCT
ejpam-5956	378	55	⟨ς	⟨ς	NOUN
ejpam-5956	378	56	,	,	PUNCT
ejpam-5956	378	57	κ	κ	NOUN
ejpam-5956	378	58	,	,	PUNCT
ejpam-5956	378	59	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	378	60	)	)	PUNCT
ejpam-5956	378	61	)	)	PUNCT
ejpam-5956	379	1	̸=	̸=	PROPN
ejpam-5956	379	2	φ(ⅎk	φ(ⅎk	PROPN
ejpam-5956	379	3	,	,	PUNCT
ejpam-5956	379	4	⟨ς	⟨ς	NOUN
ejpam-5956	379	5	,	,	PUNCT
ejpam-5956	379	6	κ	κ	NOUN
ejpam-5956	379	7	,	,	PUNCT
ejpam-5956	379	8	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	379	9	)	)	PUNCT
ejpam-5956	379	10	for	for	ADP
ejpam-5956	379	11	any	any	DET
ejpam-5956	379	12	k	k	PROPN
ejpam-5956	379	13	∈	∈	PROPN
ejpam-5956	379	14	(	(	PUNCT
ejpam-5956	379	15	i3	i3	NOUN
ejpam-5956	379	16	)	)	PUNCT
ejpam-5956	379	17	ξ	ξ	PROPN
ejpam-5956	379	18	,	,	PUNCT
ejpam-5956	379	19	ς	ς	PROPN
ejpam-5956	379	20	∈	∈	PROPN
ejpam-5956	379	21	i0,κ	i0,κ	PROPN
ejpam-5956	379	22	∈	∈	PROPN
ejpam-5956	379	23	i1	i1	PROPN
ejpam-5956	379	24	and	and	CCONJ
ejpam-5956	379	25	ϑ	ϑ	PROPN
ejpam-5956	379	26	∈	∈	PROPN
ejpam-5956	379	27	i1	i1	PROPN
ejpam-5956	379	28	.	.	PUNCT
ejpam-5956	380	1	example	example	NOUN
ejpam-5956	380	2	3.1	3.1	NUM
ejpam-5956	380	3	.	.	PUNCT
ejpam-5956	381	1	let	let	VERB
ejpam-5956	381	2	ξ	ξ	X
ejpam-5956	381	3	=	=	SYM
ejpam-5956	381	4	{	{	PUNCT
ejpam-5956	381	5	ξ1	ξ1	NOUN
ejpam-5956	381	6	,	,	PUNCT
ejpam-5956	381	7	ξ2	ξ2	NOUN
ejpam-5956	381	8	}	}	PUNCT
ejpam-5956	381	9	,	,	PUNCT
ejpam-5956	381	10	for	for	ADP
ejpam-5956	381	11	k1	k1	NOUN
ejpam-5956	381	12	=	=	SYM
ejpam-5956	381	13	{	{	PUNCT
ejpam-5956	381	14	⟨ξ	⟨ξ	NOUN
ejpam-5956	381	15	,	,	PUNCT
ejpam-5956	381	16	0.33	0.33	NUM
ejpam-5956	381	17	,	,	PUNCT
ejpam-5956	381	18	0.33	0.33	NUM
ejpam-5956	381	19	,	,	PUNCT
ejpam-5956	381	20	0.2⟩	0.2⟩	NUM
ejpam-5956	382	1	|	|	NOUN
ejpam-5956	382	2	ξ	ξ	PROPN
ejpam-5956	382	3	∈	∈	PROPN
ejpam-5956	382	4	ξ	ξ	PROPN
ejpam-5956	382	5	}	}	PUNCT
ejpam-5956	382	6	,	,	PUNCT
ejpam-5956	382	7	k2	k2	NOUN
ejpam-5956	382	8	=	=	SYM
ejpam-5956	382	9	{	{	PUNCT
ejpam-5956	382	10	⟨ξ	⟨ξ	NOUN
ejpam-5956	382	11	,	,	PUNCT
ejpam-5956	382	12	0.5	0.5	NUM
ejpam-5956	382	13	,	,	PUNCT
ejpam-5956	382	14	0.3	0.3	NUM
ejpam-5956	382	15	,	,	PUNCT
ejpam-5956	382	16	0.2⟩	0.2⟩	PUNCT
ejpam-5956	383	1	|	|	CCONJ
ejpam-5956	383	2	ξ	ξ	PROPN
ejpam-5956	383	3	∈	∈	PROPN
ejpam-5956	383	4	ξ	ξ	NOUN
ejpam-5956	383	5	}	}	PUNCT
ejpam-5956	383	6	,	,	PUNCT
ejpam-5956	383	7	k3	k3	PROPN
ejpam-5956	383	8	=	=	SYM
ejpam-5956	383	9	{	{	PUNCT
ejpam-5956	383	10	⟨ξ	⟨ξ	NOUN
ejpam-5956	383	11	,	,	PUNCT
ejpam-5956	383	12	0.33	0.33	NUM
ejpam-5956	383	13	,	,	PUNCT
ejpam-5956	383	14	0.33	0.33	NUM
ejpam-5956	383	15	,	,	PUNCT
ejpam-5956	383	16	0.1⟩	0.1⟩	NUM
ejpam-5956	383	17	|ξ	|ξ	VERB
ejpam-5956	383	18	∈	∈	PROPN
ejpam-5956	383	19	ξ	ξ	NOUN
ejpam-5956	383	20	}	}	PUNCT
ejpam-5956	383	21	and	and	CCONJ
ejpam-5956	383	22	q	q	ADJ
ejpam-5956	383	23	=	=	SYM
ejpam-5956	383	24	{	{	PUNCT
ejpam-5956	383	25	⟨ξ	⟨ξ	NOUN
ejpam-5956	383	26	,	,	PUNCT
ejpam-5956	383	27	0.4	0.4	NUM
ejpam-5956	383	28	,	,	PUNCT
ejpam-5956	383	29	0.4	0.4	NUM
ejpam-5956	383	30	,	,	PUNCT
ejpam-5956	383	31	0.2⟩	0.2⟩	NUM
ejpam-5956	383	32	|ξ	|ξ	VERB
ejpam-5956	383	33	∈	∈	NOUN
ejpam-5956	383	34	ξ	ξ	NOUN
ejpam-5956	383	35	}	}	PUNCT
ejpam-5956	383	36	.	.	PUNCT
ejpam-5956	384	1	define	define	VERB
ejpam-5956	384	2	τ	τ	PROPN
ejpam-5956	384	3	,	,	PUNCT
ejpam-5956	384	4	ℓp	ℓp	ADJ
ejpam-5956	384	5	:(	:(	PUNCT
ejpam-5956	384	6	i3	i3	NOUN
ejpam-5956	384	7	)	)	PUNCT
ejpam-5956	384	8	ξ	ξ	PROPN
ejpam-5956	384	9	→	→	PUNCT
ejpam-5956	384	10	i3	i3	NOUN
ejpam-5956	384	11	as	as	SCONJ
ejpam-5956	384	12	follows	follow	VERB
ejpam-5956	384	13	:	:	PUNCT
ejpam-5956	384	14	τ(k	τ(k	X
ejpam-5956	384	15	)	)	PUNCT
ejpam-5956	384	16	=	=	SYM
ejpam-5956	384	17			NUM
ejpam-5956	384	18	⟨1	⟨1	PROPN
ejpam-5956	384	19	,	,	PUNCT
ejpam-5956	384	20	0	0	NUM
ejpam-5956	384	21	,	,	PUNCT
ejpam-5956	384	22	0⟩	0⟩	PROPN
ejpam-5956	384	23	if	if	SCONJ
ejpam-5956	384	24	k	k	PROPN
ejpam-5956	384	25	∈	∈	PROPN
ejpam-5956	384	26	{	{	PUNCT
ejpam-5956	384	27	♭	♭	PROPN
ejpam-5956	384	28	,	,	PUNCT
ejpam-5956	384	29	♯	♯	PROPN
ejpam-5956	384	30	}	}	PUNCT
ejpam-5956	384	31	,	,	PUNCT
ejpam-5956	384	32	⟨0.33	⟨0.33	PROPN
ejpam-5956	384	33	,	,	PUNCT
ejpam-5956	384	34	0.33	0.33	NUM
ejpam-5956	384	35	,	,	PUNCT
ejpam-5956	384	36	0.33⟩	0.33⟩	X
ejpam-5956	385	1	if	if	SCONJ
ejpam-5956	385	2	k	k	PROPN
ejpam-5956	385	3	=	=	SYM
ejpam-5956	385	4	k1	k1	PROPN
ejpam-5956	385	5	,	,	PUNCT
ejpam-5956	385	6	⟨0.5	⟨0.5	PROPN
ejpam-5956	385	7	,	,	PUNCT
ejpam-5956	385	8	0.2	0.2	NUM
ejpam-5956	385	9	,	,	PUNCT
ejpam-5956	385	10	0.1⟩	0.1⟩	PUNCT
ejpam-5956	386	1	if	if	SCONJ
ejpam-5956	386	2	k	k	PROPN
ejpam-5956	386	3	=	=	SYM
ejpam-5956	386	4	k2	k2	PROPN
ejpam-5956	386	5	,	,	PUNCT
ejpam-5956	386	6	⟨0	⟨0	PROPN
ejpam-5956	386	7	,	,	PUNCT
ejpam-5956	386	8	1	1	NUM
ejpam-5956	386	9	,	,	PUNCT
ejpam-5956	386	10	0⟩	0⟩	PROPN
ejpam-5956	386	11	otherwise	otherwise	ADV
ejpam-5956	386	12	,	,	PUNCT
ejpam-5956	386	13	ℓp	ℓp	NOUN
ejpam-5956	386	14	(	(	PUNCT
ejpam-5956	386	15	k	k	NOUN
ejpam-5956	386	16	)	)	PUNCT
ejpam-5956	386	17	=	=	SYM
ejpam-5956	386	18			PROPN
ejpam-5956	386	19	⟨1	⟨1	PROPN
ejpam-5956	386	20	,	,	PUNCT
ejpam-5956	386	21	0	0	NUM
ejpam-5956	386	22	,	,	PUNCT
ejpam-5956	386	23	0⟩	0⟩	PROPN
ejpam-5956	386	24	if	if	SCONJ
ejpam-5956	386	25	k	k	PROPN
ejpam-5956	386	26	=	=	SYM
ejpam-5956	386	27	♭	♭	PROPN
ejpam-5956	386	28	,	,	PUNCT
ejpam-5956	386	29	⟨0.75	⟨0.75	PROPN
ejpam-5956	386	30	,	,	PUNCT
ejpam-5956	386	31	0.15	0.15	NUM
ejpam-5956	386	32	,	,	PUNCT
ejpam-5956	386	33	0.1⟩	0.1⟩	PUNCT
ejpam-5956	387	1	if	if	SCONJ
ejpam-5956	387	2	♭	♭	PROPN
ejpam-5956	387	3	⊆	⊆	NUM
ejpam-5956	387	4	k	k	SYM
ejpam-5956	387	5	⊆	⊆	NUM
ejpam-5956	387	6	{	{	PUNCT
ejpam-5956	387	7	⟨ξ	⟨ξ	NOUN
ejpam-5956	387	8	,	,	PUNCT
ejpam-5956	387	9	0.33	0.33	NUM
ejpam-5956	387	10	,	,	PUNCT
ejpam-5956	387	11	0.33	0.33	NUM
ejpam-5956	387	12	,	,	PUNCT
ejpam-5956	387	13	0.33⟩	0.33⟩	X
ejpam-5956	387	14	|ξ	|ξ	VERB
ejpam-5956	387	15	∈	∈	PROPN
ejpam-5956	387	16	ξ	ξ	NOUN
ejpam-5956	387	17	}	}	PUNCT
ejpam-5956	387	18	,	,	PUNCT
ejpam-5956	387	19	⟨0.4	⟨0.4	PROPN
ejpam-5956	387	20	,	,	PUNCT
ejpam-5956	387	21	0.3	0.3	NUM
ejpam-5956	387	22	,	,	PUNCT
ejpam-5956	387	23	0.3⟩	0.3⟩	PUNCT
ejpam-5956	387	24	if	if	SCONJ
ejpam-5956	387	25	{	{	PUNCT
ejpam-5956	387	26	⟨ξ	⟨ξ	NOUN
ejpam-5956	387	27	,	,	PUNCT
ejpam-5956	387	28	0.33	0.33	NUM
ejpam-5956	387	29	,	,	PUNCT
ejpam-5956	387	30	0.33	0.33	NUM
ejpam-5956	387	31	,	,	PUNCT
ejpam-5956	387	32	0.33⟩	0.33⟩	X
ejpam-5956	387	33	|ξ	|ξ	VERB
ejpam-5956	387	34	∈	∈	PROPN
ejpam-5956	387	35	ξ	ξ	NOUN
ejpam-5956	387	36	}	}	PUNCT
ejpam-5956	387	37	⊆	⊆	NUM
ejpam-5956	387	38	k	k	X
ejpam-5956	387	39	<	<	X
ejpam-5956	387	40	♯	♯	PROPN
ejpam-5956	387	41	,	,	PUNCT
ejpam-5956	387	42	⟨0	⟨0	PROPN
ejpam-5956	387	43	,	,	PUNCT
ejpam-5956	387	44	1	1	NUM
ejpam-5956	387	45	,	,	PUNCT
ejpam-5956	387	46	0⟩	0⟩	PROPN
ejpam-5956	387	47	otherwise	otherwise	ADV
ejpam-5956	387	48	.	.	PUNCT
ejpam-5956	388	1	then	then	ADV
ejpam-5956	388	2	,	,	PUNCT
ejpam-5956	388	3	♭	♭	PROPN
ejpam-5956	388	4	=	=	SYM
ejpam-5956	388	5	φ(φ	φ(φ	PROPN
ejpam-5956	388	6	(	(	PUNCT
ejpam-5956	388	7	q	q	NOUN
ejpam-5956	388	8	,	,	PUNCT
ejpam-5956	388	9	⟨0.33	⟨0.33	PROPN
ejpam-5956	388	10	,	,	PUNCT
ejpam-5956	388	11	0.33	0.33	NUM
ejpam-5956	388	12	,	,	PUNCT
ejpam-5956	388	13	0.33⟩	0.33⟩	PROPN
ejpam-5956	388	14	)	)	PUNCT
ejpam-5956	388	15	,	,	PUNCT
ejpam-5956	388	16	⟨0.33	⟨0.33	PROPN
ejpam-5956	388	17	,	,	PUNCT
ejpam-5956	388	18	0.33	0.33	NUM
ejpam-5956	388	19	,	,	PUNCT
ejpam-5956	388	20	0.33⟩	0.33⟩	NUM
ejpam-5956	388	21	)	)	PUNCT
ejpam-5956	388	22	̸=	̸=	PROPN
ejpam-5956	388	23	φ	φ	NUM
ejpam-5956	388	24	(	(	PUNCT
ejpam-5956	388	25	q	q	PROPN
ejpam-5956	388	26	,	,	PUNCT
ejpam-5956	388	27	⟨0.33	⟨0.33	PROPN
ejpam-5956	388	28	,	,	PUNCT
ejpam-5956	388	29	0.33	0.33	NUM
ejpam-5956	388	30	,	,	PUNCT
ejpam-5956	388	31	0.33⟩	0.33⟩	NOUN
ejpam-5956	388	32	)	)	PUNCT
ejpam-5956	388	33	=	=	PRON
ejpam-5956	388	34	{	{	PUNCT
ejpam-5956	388	35	⟨ξ	⟨ξ	NOUN
ejpam-5956	388	36	,	,	PUNCT
ejpam-5956	388	37	0.33	0.33	NUM
ejpam-5956	388	38	,	,	PUNCT
ejpam-5956	388	39	0.33	0.33	NUM
ejpam-5956	388	40	,	,	PUNCT
ejpam-5956	388	41	0⟩	0⟩	PROPN
ejpam-5956	388	42	|ξ	|ξ	VERB
ejpam-5956	388	43	∈	∈	PROPN
ejpam-5956	388	44	ξ	ξ	NOUN
ejpam-5956	388	45	}	}	PUNCT
ejpam-5956	388	46	,	,	PUNCT
ejpam-5956	388	47	♯	♯	PROPN
ejpam-5956	388	48	=	=	SYM
ejpam-5956	388	49	ⅎ	ⅎ	PROPN
ejpam-5956	388	50	(	(	PUNCT
ejpam-5956	388	51	φ(k3	φ(k3	NOUN
ejpam-5956	388	52	,	,	PUNCT
ejpam-5956	388	53	⟨0.33	⟨0.33	PROPN
ejpam-5956	388	54	,	,	PUNCT
ejpam-5956	388	55	0.33	0.33	NUM
ejpam-5956	388	56	,	,	PUNCT
ejpam-5956	388	57	0.33⟩	0.33⟩	NOUN
ejpam-5956	388	58	)	)	PUNCT
ejpam-5956	388	59	)	)	PUNCT
ejpam-5956	389	1	̸=	̸=	PROPN
ejpam-5956	389	2	φ(ⅎk3	φ(ⅎk3	NOUN
ejpam-5956	389	3	,	,	PUNCT
ejpam-5956	389	4	⟨0.33	⟨0.33	PROPN
ejpam-5956	389	5	,	,	PUNCT
ejpam-5956	389	6	0.33	0.33	NUM
ejpam-5956	389	7	,	,	PUNCT
ejpam-5956	389	8	0.33⟩	0.33⟩	NOUN
ejpam-5956	389	9	)	)	PUNCT
ejpam-5956	389	10	=	=	PUNCT
ejpam-5956	390	1	♭	♭	PROPN
ejpam-5956	390	2	.	.	PUNCT
ejpam-5956	391	1	definition	definition	NOUN
ejpam-5956	391	2	3.4	3.4	NUM
ejpam-5956	391	3	.	.	PUNCT
ejpam-5956	392	1	let	let	AUX
ejpam-5956	392	2	(	(	PUNCT
ejpam-5956	392	3	ξ	ξ	PROPN
ejpam-5956	392	4	,	,	PUNCT
ejpam-5956	392	5	τ	τ	X
ejpam-5956	392	6	,	,	PUNCT
ejpam-5956	392	7	ℓp	ℓp	ADJ
ejpam-5956	392	8	)	)	PUNCT
ejpam-5956	392	9	be	be	AUX
ejpam-5956	392	10	a	a	DET
ejpam-5956	392	11	picture	picture	NOUN
ejpam-5956	392	12	fuzzy	fuzzy	ADJ
ejpam-5956	392	13	ideal	ideal	ADJ
ejpam-5956	392	14	topological	topological	ADJ
ejpam-5956	392	15	space	space	NOUN
ejpam-5956	392	16	.	.	PUNCT
ejpam-5956	393	1	then	then	ADV
ejpam-5956	393	2	,	,	PUNCT
ejpam-5956	393	3	for	for	ADP
ejpam-5956	393	4	each	each	DET
ejpam-5956	393	5	k	k	PROPN
ejpam-5956	393	6	∈	∈	PROPN
ejpam-5956	393	7	(	(	PUNCT
ejpam-5956	393	8	i3	i3	NOUN
ejpam-5956	393	9	)	)	PUNCT
ejpam-5956	393	10	ξ	ξ	PROPN
ejpam-5956	393	11	,	,	PUNCT
ejpam-5956	393	12	ς	ς	PROPN
ejpam-5956	393	13	∈	∈	PROPN
ejpam-5956	393	14	i0,κ	i0,κ	PROPN
ejpam-5956	393	15	∈	∈	PROPN
ejpam-5956	393	16	i1	i1	PROPN
ejpam-5956	393	17	and	and	CCONJ
ejpam-5956	393	18	ϑ	ϑ	PROPN
ejpam-5956	393	19	∈	∈	PROPN
ejpam-5956	393	20	i1	i1	PROPN
ejpam-5956	393	21	,	,	PUNCT
ejpam-5956	393	22	we	we	PRON
ejpam-5956	393	23	define	define	VERB
ejpam-5956	393	24	an	an	DET
ejpam-5956	393	25	operator	operator	NOUN
ejpam-5956	393	26	cl∗	cl∗	NOUN
ejpam-5956	393	27	:	:	PUNCT
ejpam-5956	393	28	(	(	PUNCT
ejpam-5956	393	29	i3	i3	NOUN
ejpam-5956	393	30	)	)	PUNCT
ejpam-5956	393	31	ξ	ξ	PROPN
ejpam-5956	393	32	×	×	NOUN
ejpam-5956	393	33	i3	i3	NOUN
ejpam-5956	393	34	→	→	SYM
ejpam-5956	393	35	(	(	PUNCT
ejpam-5956	393	36	i3	i3	NOUN
ejpam-5956	393	37	)	)	PUNCT
ejpam-5956	393	38	ξ	ξ	PROPN
ejpam-5956	393	39	as	as	SCONJ
ejpam-5956	393	40	follows	follow	VERB
ejpam-5956	393	41	:	:	PUNCT
ejpam-5956	393	42	cl∗(k	cl∗(k	NOUN
ejpam-5956	393	43	,	,	PUNCT
ejpam-5956	393	44	⟨ς	⟨ς	NOUN
ejpam-5956	393	45	,	,	PUNCT
ejpam-5956	393	46	κ	κ	NOUN
ejpam-5956	393	47	,	,	PUNCT
ejpam-5956	393	48	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	393	49	)	)	PUNCT
ejpam-5956	393	50	=	=	SYM
ejpam-5956	394	1	k	k	PROPN
ejpam-5956	394	2	∪	∪	ADP
ejpam-5956	394	3	φ(k	φ(k	PROPN
ejpam-5956	394	4	,	,	PUNCT
ejpam-5956	394	5	⟨ς	⟨ς	NOUN
ejpam-5956	394	6	,	,	PUNCT
ejpam-5956	394	7	κ	κ	NOUN
ejpam-5956	394	8	,	,	PUNCT
ejpam-5956	394	9	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	394	10	)	)	PUNCT
ejpam-5956	394	11	.	.	PUNCT
ejpam-5956	395	1	now	now	ADV
ejpam-5956	395	2	,	,	PUNCT
ejpam-5956	395	3	if	if	SCONJ
ejpam-5956	395	4	ℓp	ℓp	ADJ
ejpam-5956	395	5	=	=	NOUN
ejpam-5956	395	6	ℓp0	ℓp0	NOUN
ejpam-5956	395	7	then	then	ADV
ejpam-5956	395	8	,	,	PUNCT
ejpam-5956	395	9	cl∗(k	cl∗(k	NOUN
ejpam-5956	395	10	,	,	PUNCT
ejpam-5956	395	11	⟨ς	⟨ς	NOUN
ejpam-5956	395	12	,	,	PUNCT
ejpam-5956	395	13	κ	κ	NOUN
ejpam-5956	395	14	,	,	PUNCT
ejpam-5956	395	15	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	395	16	)	)	PUNCT
ejpam-5956	395	17	=	=	SYM
ejpam-5956	396	1	k∪φ(k	k∪φ(k	PROPN
ejpam-5956	396	2	,	,	PUNCT
ejpam-5956	396	3	⟨ς	⟨ς	NOUN
ejpam-5956	396	4	,	,	PUNCT
ejpam-5956	396	5	κ	κ	NOUN
ejpam-5956	396	6	,	,	PUNCT
ejpam-5956	396	7	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	396	8	)	)	PUNCT
ejpam-5956	396	9	=	=	SYM
ejpam-5956	397	1	k∪	k∪	PROPN
ejpam-5956	397	2	clτ	clτ	NOUN
ejpam-5956	397	3	(	(	PUNCT
ejpam-5956	397	4	k	k	NOUN
ejpam-5956	397	5	,	,	PUNCT
ejpam-5956	397	6	⟨ς	⟨ς	NOUN
ejpam-5956	397	7	,	,	PUNCT
ejpam-5956	397	8	κ	κ	NOUN
ejpam-5956	397	9	,	,	PUNCT
ejpam-5956	397	10	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	397	11	)	)	PUNCT
ejpam-5956	397	12	=	=	SYM
ejpam-5956	397	13	clτ	clτ	NOUN
ejpam-5956	397	14	(	(	PUNCT
ejpam-5956	397	15	k	k	NOUN
ejpam-5956	397	16	,	,	PUNCT
ejpam-5956	397	17	⟨ς	⟨ς	NOUN
ejpam-5956	397	18	,	,	PUNCT
ejpam-5956	397	19	κ	κ	NOUN
ejpam-5956	397	20	,	,	PUNCT
ejpam-5956	397	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	397	22	)	)	PUNCT
ejpam-5956	397	23	.	.	PUNCT
ejpam-5956	398	1	theorem	theorem	ADJ
ejpam-5956	398	2	3.2	3.2	NUM
ejpam-5956	398	3	.	.	PUNCT
ejpam-5956	399	1	let	let	AUX
ejpam-5956	399	2	(	(	PUNCT
ejpam-5956	399	3	ξ	ξ	PROPN
ejpam-5956	399	4	,	,	PUNCT
ejpam-5956	399	5	τ	τ	X
ejpam-5956	399	6	,	,	PUNCT
ejpam-5956	399	7	ℓp	ℓp	ADJ
ejpam-5956	399	8	)	)	PUNCT
ejpam-5956	399	9	be	be	AUX
ejpam-5956	399	10	a	a	DET
ejpam-5956	399	11	picture	picture	NOUN
ejpam-5956	399	12	fuzzy	fuzzy	ADJ
ejpam-5956	399	13	ideal	ideal	ADJ
ejpam-5956	399	14	topological	topological	ADJ
ejpam-5956	399	15	space	space	NOUN
ejpam-5956	399	16	.	.	PUNCT
ejpam-5956	400	1	then	then	ADV
ejpam-5956	400	2	,	,	PUNCT
ejpam-5956	400	3	for	for	ADP
ejpam-5956	400	4	any	any	DET
ejpam-5956	400	5	fuzzy	fuzzy	ADJ
ejpam-5956	400	6	set	set	NOUN
ejpam-5956	400	7	k	k	PROPN
ejpam-5956	400	8	,	,	PUNCT
ejpam-5956	400	9	k	k	PROPN
ejpam-5956	400	10	∈	∈	PROPN
ejpam-5956	400	11	(	(	PUNCT
ejpam-5956	400	12	i3	i3	NOUN
ejpam-5956	400	13	)	)	PUNCT
ejpam-5956	400	14	ξ	ξ	PROPN
ejpam-5956	400	15	,	,	PUNCT
ejpam-5956	400	16	ς	ς	PROPN
ejpam-5956	400	17	∈	∈	PROPN
ejpam-5956	400	18	i0,κ	i0,κ	PROPN
ejpam-5956	400	19	∈	∈	PROPN
ejpam-5956	400	20	i1	i1	PROPN
ejpam-5956	400	21	and	and	CCONJ
ejpam-5956	400	22	ϑ	ϑ	PROPN
ejpam-5956	400	23	∈	∈	PROPN
ejpam-5956	400	24	i1	i1	PROPN
ejpam-5956	400	25	,	,	PUNCT
ejpam-5956	400	26	the	the	DET
ejpam-5956	400	27	operator	operator	NOUN
ejpam-5956	400	28	cl∗	cl∗	VERB
ejpam-5956	400	29	:	:	PUNCT
ejpam-5956	400	30	(	(	PUNCT
ejpam-5956	400	31	i3	i3	NOUN
ejpam-5956	400	32	)	)	PUNCT
ejpam-5956	400	33	ξ×	ξ×	NOUN
ejpam-5956	400	34	i3	i3	NOUN
ejpam-5956	400	35	→	→	SYM
ejpam-5956	400	36	(	(	PUNCT
ejpam-5956	400	37	i3	i3	NOUN
ejpam-5956	400	38	)	)	PUNCT
ejpam-5956	400	39	ξ	ξ	PROPN
ejpam-5956	400	40	satisfies	satisfy	VERB
ejpam-5956	400	41	the	the	DET
ejpam-5956	400	42	following	follow	VERB
ejpam-5956	400	43	properties	property	NOUN
ejpam-5956	400	44	:	:	PUNCT
ejpam-5956	400	45	(	(	PUNCT
ejpam-5956	400	46	1	1	X
ejpam-5956	400	47	)	)	PUNCT
ejpam-5956	400	48	cl∗	cl∗	PROPN
ejpam-5956	400	49	(	(	PUNCT
ejpam-5956	400	50	♭	♭	PROPN
ejpam-5956	400	51	,	,	PUNCT
ejpam-5956	400	52	⟨ς	⟨ς	NOUN
ejpam-5956	400	53	,	,	PUNCT
ejpam-5956	400	54	κ	κ	NOUN
ejpam-5956	400	55	,	,	PUNCT
ejpam-5956	400	56	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	400	57	)	)	PUNCT
ejpam-5956	400	58	=	=	SYM
ejpam-5956	401	1	♭	♭	INTJ
ejpam-5956	401	2	.	.	PUNCT
ejpam-5956	402	1	(	(	PUNCT
ejpam-5956	402	2	2)k	2)k	NOUN
ejpam-5956	402	3	⊆	⊆	NUM
ejpam-5956	402	4	cl∗(k	cl∗(k	NOUN
ejpam-5956	402	5	,	,	PUNCT
ejpam-5956	402	6	⟨ς	⟨ς	NOUN
ejpam-5956	402	7	,	,	PUNCT
ejpam-5956	402	8	κ	κ	NOUN
ejpam-5956	402	9	,	,	PUNCT
ejpam-5956	402	10	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	402	11	)	)	PUNCT
ejpam-5956	402	12	⊆	⊆	NUM
ejpam-5956	402	13	clτ	clτ	NOUN
ejpam-5956	402	14	(	(	PUNCT
ejpam-5956	402	15	k	k	NOUN
ejpam-5956	402	16	,	,	PUNCT
ejpam-5956	402	17	⟨ς	⟨ς	NOUN
ejpam-5956	402	18	,	,	PUNCT
ejpam-5956	402	19	κ	κ	NOUN
ejpam-5956	402	20	,	,	PUNCT
ejpam-5956	402	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	402	22	)	)	PUNCT
ejpam-5956	402	23	.	.	PUNCT
ejpam-5956	403	1	(	(	PUNCT
ejpam-5956	403	2	3	3	X
ejpam-5956	403	3	)	)	PUNCT
ejpam-5956	403	4	if	if	SCONJ
ejpam-5956	403	5	k	k	PROPN
ejpam-5956	403	6	⊆	⊆	NUM
ejpam-5956	403	7	q	q	NOUN
ejpam-5956	403	8	,	,	PUNCT
ejpam-5956	403	9	then	then	ADV
ejpam-5956	403	10	cl∗(k	cl∗(k	NOUN
ejpam-5956	403	11	,	,	PUNCT
ejpam-5956	403	12	⟨ς	⟨ς	NOUN
ejpam-5956	403	13	,	,	PUNCT
ejpam-5956	403	14	κ	κ	NOUN
ejpam-5956	403	15	,	,	PUNCT
ejpam-5956	403	16	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	403	17	)	)	PUNCT
ejpam-5956	403	18	⊆	⊆	NUM
ejpam-5956	403	19	cl∗	cl∗	NOUN
ejpam-5956	403	20	(	(	PUNCT
ejpam-5956	403	21	q	q	X
ejpam-5956	403	22	,	,	PUNCT
ejpam-5956	403	23	⟨ς	⟨ς	NOUN
ejpam-5956	403	24	,	,	PUNCT
ejpam-5956	403	25	κ	κ	NOUN
ejpam-5956	403	26	,	,	PUNCT
ejpam-5956	403	27	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	403	28	)	)	PUNCT
ejpam-5956	403	29	.	.	PUNCT
ejpam-5956	404	1	(	(	PUNCT
ejpam-5956	404	2	4	4	X
ejpam-5956	404	3	)	)	PUNCT
ejpam-5956	404	4	cl∗(k	cl∗(k	NOUN
ejpam-5956	404	5	∪	∪	NOUN
ejpam-5956	404	6	q	q	NOUN
ejpam-5956	404	7	,	,	PUNCT
ejpam-5956	404	8	⟨ς	⟨ς	NOUN
ejpam-5956	404	9	,	,	PUNCT
ejpam-5956	404	10	κ	κ	NOUN
ejpam-5956	404	11	,	,	PUNCT
ejpam-5956	404	12	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	404	13	)	)	PUNCT
ejpam-5956	404	14	⊇	⊇	NOUN
ejpam-5956	404	15	cl∗(k	cl∗(k	NOUN
ejpam-5956	404	16	,	,	PUNCT
ejpam-5956	404	17	⟨ς	⟨ς	NOUN
ejpam-5956	404	18	,	,	PUNCT
ejpam-5956	404	19	κ	κ	NOUN
ejpam-5956	404	20	,	,	PUNCT
ejpam-5956	404	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	404	22	)	)	PUNCT
ejpam-5956	404	23	∪	∪	ADP
ejpam-5956	404	24	cl∗	cl∗	PROPN
ejpam-5956	404	25	(	(	PUNCT
ejpam-5956	404	26	q	q	X
ejpam-5956	404	27	,	,	PUNCT
ejpam-5956	404	28	⟨ς	⟨ς	NOUN
ejpam-5956	404	29	,	,	PUNCT
ejpam-5956	404	30	κ	κ	NOUN
ejpam-5956	404	31	,	,	PUNCT
ejpam-5956	404	32	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	404	33	)	)	PUNCT
ejpam-5956	404	34	.	.	PUNCT
ejpam-5956	405	1	(	(	PUNCT
ejpam-5956	405	2	5	5	X
ejpam-5956	405	3	)	)	PUNCT
ejpam-5956	405	4	cl∗(k∩	cl∗(k∩	NOUN
ejpam-5956	405	5	q	q	X
ejpam-5956	405	6	,	,	PUNCT
ejpam-5956	405	7	⟨ς	⟨ς	NOUN
ejpam-5956	405	8	,	,	PUNCT
ejpam-5956	405	9	κ	κ	NOUN
ejpam-5956	405	10	,	,	PUNCT
ejpam-5956	405	11	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	405	12	)	)	PUNCT
ejpam-5956	405	13	⊆	⊆	NUM
ejpam-5956	405	14	cl∗(k	cl∗(k	NOUN
ejpam-5956	405	15	,	,	PUNCT
ejpam-5956	405	16	⟨ς	⟨ς	NOUN
ejpam-5956	405	17	,	,	PUNCT
ejpam-5956	405	18	κ	κ	NOUN
ejpam-5956	405	19	,	,	PUNCT
ejpam-5956	405	20	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	405	21	)	)	PUNCT
ejpam-5956	405	22	∩	∩	ADJ
ejpam-5956	405	23	cl∗	cl∗	PROPN
ejpam-5956	405	24	(	(	PUNCT
ejpam-5956	405	25	q	q	X
ejpam-5956	405	26	,	,	PUNCT
ejpam-5956	405	27	⟨ς	⟨ς	NOUN
ejpam-5956	405	28	,	,	PUNCT
ejpam-5956	405	29	κ	κ	NOUN
ejpam-5956	405	30	,	,	PUNCT
ejpam-5956	405	31	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	405	32	)	)	PUNCT
ejpam-5956	405	33	.	.	PUNCT
ejpam-5956	406	1	proof	proof	NOUN
ejpam-5956	406	2	.	.	PUNCT
ejpam-5956	407	1	(	(	PUNCT
ejpam-5956	407	2	1	1	X
ejpam-5956	407	3	)	)	PUNCT
ejpam-5956	407	4	since	since	SCONJ
ejpam-5956	407	5	cl∗	cl∗	PROPN
ejpam-5956	407	6	(	(	PUNCT
ejpam-5956	407	7	♭	♭	PROPN
ejpam-5956	407	8	,	,	PUNCT
ejpam-5956	407	9	⟨ς	⟨ς	NOUN
ejpam-5956	407	10	,	,	PUNCT
ejpam-5956	407	11	κ	κ	NOUN
ejpam-5956	407	12	,	,	PUNCT
ejpam-5956	407	13	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	407	14	)	)	PUNCT
ejpam-5956	407	15	=	=	SYM
ejpam-5956	408	1	♭	♭	PROPN
ejpam-5956	408	2	∪	∪	ADP
ejpam-5956	408	3	φ	φ	PROPN
ejpam-5956	408	4	(	(	PUNCT
ejpam-5956	408	5	♭	♭	PROPN
ejpam-5956	408	6	,	,	PUNCT
ejpam-5956	408	7	⟨ς	⟨ς	NOUN
ejpam-5956	408	8	,	,	PUNCT
ejpam-5956	408	9	κ	κ	NOUN
ejpam-5956	408	10	,	,	PUNCT
ejpam-5956	408	11	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	408	12	)	)	PUNCT
ejpam-5956	408	13	and	and	CCONJ
ejpam-5956	408	14	φ	φ	PROPN
ejpam-5956	408	15	(	(	PUNCT
ejpam-5956	408	16	♭	♭	PROPN
ejpam-5956	408	17	,	,	PUNCT
ejpam-5956	408	18	⟨ς	⟨ς	NOUN
ejpam-5956	408	19	,	,	PUNCT
ejpam-5956	408	20	κ	κ	NOUN
ejpam-5956	408	21	,	,	PUNCT
ejpam-5956	408	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	408	23	)	)	PUNCT
ejpam-5956	408	24	=	=	SYM
ejpam-5956	409	1	♭	♭	PROPN
ejpam-5956	409	2	implies	imply	VERB
ejpam-5956	409	3	cl∗	cl∗	PROPN
ejpam-5956	409	4	(	(	PUNCT
ejpam-5956	409	5	♭	♭	PROPN
ejpam-5956	409	6	,	,	PUNCT
ejpam-5956	409	7	⟨ς	⟨ς	NOUN
ejpam-5956	409	8	,	,	PUNCT
ejpam-5956	409	9	κ	κ	NOUN
ejpam-5956	409	10	,	,	PUNCT
ejpam-5956	409	11	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	409	12	)	)	PUNCT
ejpam-5956	409	13	=	=	SYM
ejpam-5956	410	1	♭	♭	PROPN
ejpam-5956	410	2	.	.	PUNCT
ejpam-5956	411	1	dali	dali	PROPN
ejpam-5956	411	2	shi	shi	PROPN
ejpam-5956	411	3	et	et	PROPN
ejpam-5956	411	4	al	al	PROPN
ejpam-5956	411	5	.	.	PUNCT
ejpam-5956	411	6	/	/	SYM
ejpam-5956	411	7	eur	eur	PROPN
ejpam-5956	411	8	.	.	PUNCT
ejpam-5956	412	1	j.	j.	PROPN
ejpam-5956	412	2	pure	pure	PROPN
ejpam-5956	412	3	appl	appl	PROPN
ejpam-5956	412	4	.	.	PROPN
ejpam-5956	412	5	math	math	PROPN
ejpam-5956	412	6	,	,	PUNCT
ejpam-5956	412	7	18	18	NUM
ejpam-5956	412	8	(	(	PUNCT
ejpam-5956	412	9	2	2	NUM
ejpam-5956	412	10	)	)	PUNCT
ejpam-5956	412	11	(	(	PUNCT
ejpam-5956	412	12	2025	2025	NUM
ejpam-5956	412	13	)	)	PUNCT
ejpam-5956	412	14	,	,	PUNCT
ejpam-5956	412	15	5956	5956	NUM
ejpam-5956	412	16	14	14	NUM
ejpam-5956	412	17	of	of	ADP
ejpam-5956	412	18	30	30	NUM
ejpam-5956	412	19	(	(	PUNCT
ejpam-5956	412	20	2	2	NUM
ejpam-5956	412	21	)	)	PUNCT
ejpam-5956	412	22	cl∗(k	cl∗(k	NOUN
ejpam-5956	412	23	,	,	PUNCT
ejpam-5956	412	24	⟨ς	⟨ς	NOUN
ejpam-5956	412	25	,	,	PUNCT
ejpam-5956	412	26	κ	κ	NOUN
ejpam-5956	412	27	,	,	PUNCT
ejpam-5956	412	28	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	412	29	)	)	PUNCT
ejpam-5956	412	30	=	=	SYM
ejpam-5956	413	1	k	k	PROPN
ejpam-5956	413	2	∪φ(k	∪φ(k	PROPN
ejpam-5956	413	3	,	,	PUNCT
ejpam-5956	413	4	⟨ς	⟨ς	NOUN
ejpam-5956	413	5	,	,	PUNCT
ejpam-5956	413	6	κ	κ	NOUN
ejpam-5956	413	7	,	,	PUNCT
ejpam-5956	413	8	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	413	9	)	)	PUNCT
ejpam-5956	413	10	implies	imply	VERB
ejpam-5956	413	11	k	k	PROPN
ejpam-5956	413	12	⊆	⊆	NUM
ejpam-5956	413	13	cl∗(k	cl∗(k	NOUN
ejpam-5956	413	14	,	,	PUNCT
ejpam-5956	413	15	⟨ς	⟨ς	NOUN
ejpam-5956	413	16	,	,	PUNCT
ejpam-5956	413	17	κ	κ	NOUN
ejpam-5956	413	18	,	,	PUNCT
ejpam-5956	413	19	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	413	20	)	)	PUNCT
ejpam-5956	413	21	.	.	PUNCT
ejpam-5956	414	1	since	since	SCONJ
ejpam-5956	414	2	k	k	PROPN
ejpam-5956	414	3	⊆	⊆	NUM
ejpam-5956	414	4	clτ	clτ	NOUN
ejpam-5956	414	5	(	(	PUNCT
ejpam-5956	414	6	k	k	NOUN
ejpam-5956	414	7	,	,	PUNCT
ejpam-5956	414	8	⟨ς	⟨ς	NOUN
ejpam-5956	414	9	,	,	PUNCT
ejpam-5956	414	10	κ	κ	NOUN
ejpam-5956	414	11	,	,	PUNCT
ejpam-5956	414	12	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	414	13	)	)	PUNCT
ejpam-5956	414	14	and	and	CCONJ
ejpam-5956	414	15	from	from	ADP
ejpam-5956	414	16	theorem	theorem	ADJ
ejpam-5956	414	17	3.1(4	3.1(4	NUM
ejpam-5956	414	18	)	)	PUNCT
ejpam-5956	414	19	,	,	PUNCT
ejpam-5956	414	20	we	we	PRON
ejpam-5956	414	21	have	have	VERB
ejpam-5956	414	22	φ(k	φ(k	PROPN
ejpam-5956	414	23	,	,	PUNCT
ejpam-5956	414	24	⟨ς	⟨ς	NOUN
ejpam-5956	414	25	,	,	PUNCT
ejpam-5956	414	26	κ	κ	NOUN
ejpam-5956	414	27	,	,	PUNCT
ejpam-5956	414	28	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	414	29	)	)	PUNCT
ejpam-5956	414	30	⊆	⊆	NUM
ejpam-5956	414	31	clτ	clτ	NOUN
ejpam-5956	414	32	(	(	PUNCT
ejpam-5956	414	33	k	k	NOUN
ejpam-5956	414	34	,	,	PUNCT
ejpam-5956	414	35	⟨ς	⟨ς	NOUN
ejpam-5956	414	36	,	,	PUNCT
ejpam-5956	414	37	κ	κ	NOUN
ejpam-5956	414	38	,	,	PUNCT
ejpam-5956	414	39	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	414	40	)	)	PUNCT
ejpam-5956	414	41	implies	imply	VERB
ejpam-5956	414	42	cl∗(k	cl∗(k	NOUN
ejpam-5956	414	43	,	,	PUNCT
ejpam-5956	414	44	⟨ς	⟨ς	NOUN
ejpam-5956	414	45	,	,	PUNCT
ejpam-5956	414	46	κ	κ	NOUN
ejpam-5956	414	47	,	,	PUNCT
ejpam-5956	414	48	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	414	49	)	)	PUNCT
ejpam-5956	414	50	⊆	⊆	NUM
ejpam-5956	414	51	clτ	clτ	NOUN
ejpam-5956	414	52	(	(	PUNCT
ejpam-5956	414	53	k	k	NOUN
ejpam-5956	414	54	,	,	PUNCT
ejpam-5956	414	55	⟨ς	⟨ς	NOUN
ejpam-5956	414	56	,	,	PUNCT
ejpam-5956	414	57	κ	κ	NOUN
ejpam-5956	414	58	,	,	PUNCT
ejpam-5956	414	59	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	414	60	)	)	PUNCT
ejpam-5956	414	61	.	.	PUNCT
ejpam-5956	415	1	thus	thus	ADV
ejpam-5956	415	2	,	,	PUNCT
ejpam-5956	415	3	k	k	PROPN
ejpam-5956	415	4	⊆	⊆	NUM
ejpam-5956	415	5	cl∗(k	cl∗(k	NOUN
ejpam-5956	415	6	,	,	PUNCT
ejpam-5956	415	7	⟨ς	⟨ς	NOUN
ejpam-5956	415	8	,	,	PUNCT
ejpam-5956	415	9	κ	κ	NOUN
ejpam-5956	415	10	,	,	PUNCT
ejpam-5956	415	11	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	415	12	)	)	PUNCT
ejpam-5956	415	13	⊆	⊆	NUM
ejpam-5956	415	14	clτ	clτ	NOUN
ejpam-5956	415	15	(	(	PUNCT
ejpam-5956	415	16	k	k	NOUN
ejpam-5956	415	17	,	,	PUNCT
ejpam-5956	415	18	⟨ς	⟨ς	NOUN
ejpam-5956	415	19	,	,	PUNCT
ejpam-5956	415	20	κ	κ	NOUN
ejpam-5956	415	21	,	,	PUNCT
ejpam-5956	415	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	415	23	)	)	PUNCT
ejpam-5956	415	24	.	.	PUNCT
ejpam-5956	416	1	(	(	PUNCT
ejpam-5956	416	2	3	3	X
ejpam-5956	416	3	)	)	PUNCT
ejpam-5956	416	4	from	from	ADP
ejpam-5956	416	5	k	k	PROPN
ejpam-5956	416	6	⊆q	⊆q	NOUN
ejpam-5956	416	7	and	and	CCONJ
ejpam-5956	416	8	theorem	theorem	VERB
ejpam-5956	416	9	3.1(2	3.1(2	NUM
ejpam-5956	416	10	)	)	PUNCT
ejpam-5956	416	11	,	,	PUNCT
ejpam-5956	416	12	we	we	PRON
ejpam-5956	416	13	have	have	VERB
ejpam-5956	416	14	k	k	PROPN
ejpam-5956	416	15	∪φ(k	∪φ(k	PROPN
ejpam-5956	416	16	,	,	PUNCT
ejpam-5956	416	17	⟨ς	⟨ς	NOUN
ejpam-5956	416	18	,	,	PUNCT
ejpam-5956	416	19	κ	κ	NOUN
ejpam-5956	416	20	,	,	PUNCT
ejpam-5956	416	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	416	22	)	)	PUNCT
ejpam-5956	416	23	⊆q	⊆q	NOUN
ejpam-5956	416	24	∪φ(q	∪φ(q	ADP
ejpam-5956	416	25	,	,	PUNCT
ejpam-5956	416	26	⟨ς	⟨ς	NOUN
ejpam-5956	416	27	,	,	PUNCT
ejpam-5956	416	28	κ	κ	NOUN
ejpam-5956	416	29	,	,	PUNCT
ejpam-5956	416	30	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	416	31	)	)	PUNCT
ejpam-5956	416	32	and	and	CCONJ
ejpam-5956	416	33	then	then	ADV
ejpam-5956	416	34	,	,	PUNCT
ejpam-5956	416	35	cl∗(k	cl∗(k	NOUN
ejpam-5956	416	36	,	,	PUNCT
ejpam-5956	416	37	⟨ς	⟨ς	NOUN
ejpam-5956	416	38	,	,	PUNCT
ejpam-5956	416	39	κ	κ	NOUN
ejpam-5956	416	40	,	,	PUNCT
ejpam-5956	416	41	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	416	42	)	)	PUNCT
ejpam-5956	416	43	⊆	⊆	NUM
ejpam-5956	416	44	cl∗	cl∗	NOUN
ejpam-5956	416	45	(	(	PUNCT
ejpam-5956	416	46	q	q	X
ejpam-5956	416	47	,	,	PUNCT
ejpam-5956	416	48	⟨ς	⟨ς	NOUN
ejpam-5956	416	49	,	,	PUNCT
ejpam-5956	416	50	κ	κ	NOUN
ejpam-5956	416	51	,	,	PUNCT
ejpam-5956	416	52	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	416	53	)	)	PUNCT
ejpam-5956	416	54	.	.	PUNCT
ejpam-5956	417	1	(	(	PUNCT
ejpam-5956	417	2	4	4	X
ejpam-5956	417	3	)	)	PUNCT
ejpam-5956	417	4	since	since	SCONJ
ejpam-5956	417	5	k	k	PROPN
ejpam-5956	417	6	⊆	⊆	NUM
ejpam-5956	417	7	k	k	X
ejpam-5956	417	8	∪	∪	X
ejpam-5956	417	9	q	q	PROPN
ejpam-5956	417	10	and	and	CCONJ
ejpam-5956	417	11	q	q	PROPN
ejpam-5956	417	12	⊆	⊆	NUM
ejpam-5956	417	13	k	k	NOUN
ejpam-5956	417	14	∪	∪	PROPN
ejpam-5956	417	15	q	q	NOUN
ejpam-5956	417	16	,	,	PUNCT
ejpam-5956	417	17	cl∗(k	cl∗(k	NOUN
ejpam-5956	417	18	,	,	PUNCT
ejpam-5956	417	19	⟨ς	⟨ς	NOUN
ejpam-5956	417	20	,	,	PUNCT
ejpam-5956	417	21	κ	κ	NOUN
ejpam-5956	417	22	,	,	PUNCT
ejpam-5956	417	23	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	417	24	)	)	PUNCT
ejpam-5956	417	25	⊆	⊆	NUM
ejpam-5956	417	26	cl∗(k	cl∗(k	NOUN
ejpam-5956	417	27	∪	∪	NOUN
ejpam-5956	417	28	q	q	NOUN
ejpam-5956	417	29	,	,	PUNCT
ejpam-5956	417	30	⟨ς	⟨ς	NOUN
ejpam-5956	417	31	,	,	PUNCT
ejpam-5956	417	32	κ	κ	NOUN
ejpam-5956	417	33	,	,	PUNCT
ejpam-5956	417	34	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	417	35	)	)	PUNCT
ejpam-5956	417	36	and	and	CCONJ
ejpam-5956	417	37	cl∗(q	cl∗(q	PROPN
ejpam-5956	417	38	,	,	PUNCT
ejpam-5956	417	39	⟨ς	⟨ς	NOUN
ejpam-5956	417	40	,	,	PUNCT
ejpam-5956	417	41	κ	κ	NOUN
ejpam-5956	417	42	,	,	PUNCT
ejpam-5956	417	43	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	417	44	)	)	PUNCT
ejpam-5956	417	45	⊆	⊆	NUM
ejpam-5956	417	46	cl∗(k	cl∗(k	NOUN
ejpam-5956	417	47	∪q	∪q	X
ejpam-5956	417	48	,	,	PUNCT
ejpam-5956	417	49	⟨ς	⟨ς	NOUN
ejpam-5956	417	50	,	,	PUNCT
ejpam-5956	417	51	κ	κ	NOUN
ejpam-5956	417	52	,	,	PUNCT
ejpam-5956	417	53	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	417	54	)	)	PUNCT
ejpam-5956	417	55	.	.	PUNCT
ejpam-5956	418	1	thus	thus	ADV
ejpam-5956	418	2	,	,	PUNCT
ejpam-5956	418	3	cl∗(k	cl∗(k	NOUN
ejpam-5956	418	4	,	,	PUNCT
ejpam-5956	418	5	⟨ς	⟨ς	NOUN
ejpam-5956	418	6	,	,	PUNCT
ejpam-5956	418	7	κ	κ	NOUN
ejpam-5956	418	8	,	,	PUNCT
ejpam-5956	418	9	ϑ⟩)∪cl∗(q	ϑ⟩)∪cl∗(q	PROPN
ejpam-5956	418	10	,	,	PUNCT
ejpam-5956	418	11	⟨ς	⟨ς	NOUN
ejpam-5956	418	12	,	,	PUNCT
ejpam-5956	418	13	κ	κ	NOUN
ejpam-5956	418	14	,	,	PUNCT
ejpam-5956	418	15	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	418	16	)	)	PUNCT
ejpam-5956	419	1	⊆	⊆	NUM
ejpam-5956	419	2	cl∗(k	cl∗(k	NOUN
ejpam-5956	419	3	∪	∪	NOUN
ejpam-5956	419	4	q	q	NOUN
ejpam-5956	419	5	,	,	PUNCT
ejpam-5956	419	6	⟨ς	⟨ς	NOUN
ejpam-5956	419	7	,	,	PUNCT
ejpam-5956	419	8	κ	κ	NOUN
ejpam-5956	419	9	,	,	PUNCT
ejpam-5956	419	10	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	419	11	)	)	PUNCT
ejpam-5956	419	12	.	.	PUNCT
ejpam-5956	420	1	(	(	PUNCT
ejpam-5956	420	2	5	5	X
ejpam-5956	420	3	)	)	PUNCT
ejpam-5956	420	4	k∩	k∩	NOUN
ejpam-5956	420	5	q	q	PROPN
ejpam-5956	421	1	⊆	⊆	NUM
ejpam-5956	421	2	k	k	PROPN
ejpam-5956	421	3	and	and	CCONJ
ejpam-5956	421	4	k∩	k∩	PROPN
ejpam-5956	421	5	q	q	PROPN
ejpam-5956	422	1	⊆	⊆	NUM
ejpam-5956	422	2	q	q	NOUN
ejpam-5956	422	3	,	,	PUNCT
ejpam-5956	422	4	cl∗(k∩	cl∗(k∩	NOUN
ejpam-5956	422	5	q	q	X
ejpam-5956	422	6	,	,	PUNCT
ejpam-5956	422	7	⟨ς	⟨ς	NOUN
ejpam-5956	422	8	,	,	PUNCT
ejpam-5956	422	9	κ	κ	NOUN
ejpam-5956	422	10	,	,	PUNCT
ejpam-5956	422	11	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	422	12	)	)	PUNCT
ejpam-5956	422	13	⊆	⊆	NUM
ejpam-5956	422	14	cl∗(k	cl∗(k	NOUN
ejpam-5956	422	15	,	,	PUNCT
ejpam-5956	422	16	⟨ς	⟨ς	NOUN
ejpam-5956	422	17	,	,	PUNCT
ejpam-5956	422	18	κ	κ	NOUN
ejpam-5956	422	19	,	,	PUNCT
ejpam-5956	422	20	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	422	21	)	)	PUNCT
ejpam-5956	422	22	and	and	CCONJ
ejpam-5956	422	23	cl∗(k∩	cl∗(k∩	PROPN
ejpam-5956	422	24	q	q	X
ejpam-5956	422	25	,	,	PUNCT
ejpam-5956	422	26	⟨ς	⟨ς	NOUN
ejpam-5956	422	27	,	,	PUNCT
ejpam-5956	422	28	κ	κ	NOUN
ejpam-5956	422	29	,	,	PUNCT
ejpam-5956	422	30	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	422	31	)	)	PUNCT
ejpam-5956	422	32	⊆	⊆	NUM
ejpam-5956	422	33	cl∗	cl∗	NOUN
ejpam-5956	422	34	(	(	PUNCT
ejpam-5956	422	35	q	q	X
ejpam-5956	422	36	,	,	PUNCT
ejpam-5956	422	37	⟨ς	⟨ς	NOUN
ejpam-5956	422	38	,	,	PUNCT
ejpam-5956	422	39	κ	κ	NOUN
ejpam-5956	422	40	,	,	PUNCT
ejpam-5956	422	41	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	422	42	)	)	PUNCT
ejpam-5956	422	43	.	.	PUNCT
ejpam-5956	423	1	thus	thus	ADV
ejpam-5956	423	2	,	,	PUNCT
ejpam-5956	423	3	cl∗(k∩	cl∗(k∩	PROPN
ejpam-5956	423	4	q	q	X
ejpam-5956	423	5	,	,	PUNCT
ejpam-5956	423	6	⟨ς	⟨ς	NOUN
ejpam-5956	423	7	,	,	PUNCT
ejpam-5956	423	8	κ	κ	NOUN
ejpam-5956	423	9	,	,	PUNCT
ejpam-5956	423	10	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	423	11	)	)	PUNCT
ejpam-5956	423	12	⊆	⊆	NUM
ejpam-5956	423	13	cl∗(k	cl∗(k	NOUN
ejpam-5956	423	14	,	,	PUNCT
ejpam-5956	423	15	⟨ς	⟨ς	NOUN
ejpam-5956	423	16	,	,	PUNCT
ejpam-5956	423	17	κ	κ	NOUN
ejpam-5956	423	18	,	,	PUNCT
ejpam-5956	423	19	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	423	20	)	)	PUNCT
ejpam-5956	423	21	∩	∩	ADJ
ejpam-5956	423	22	cl∗	cl∗	PROPN
ejpam-5956	423	23	(	(	PUNCT
ejpam-5956	423	24	q	q	X
ejpam-5956	423	25	,	,	PUNCT
ejpam-5956	423	26	⟨ς	⟨ς	NOUN
ejpam-5956	423	27	,	,	PUNCT
ejpam-5956	423	28	κ	κ	NOUN
ejpam-5956	423	29	,	,	PUNCT
ejpam-5956	423	30	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	423	31	)	)	PUNCT
ejpam-5956	423	32	.	.	PUNCT
ejpam-5956	424	1	theorem	theorem	VERB
ejpam-5956	424	2	3.3	3.3	NUM
ejpam-5956	424	3	.	.	PUNCT
ejpam-5956	425	1	let	let	AUX
ejpam-5956	425	2	(	(	PUNCT
ejpam-5956	425	3	ξ	ξ	PROPN
ejpam-5956	425	4	,	,	PUNCT
ejpam-5956	425	5	τ	τ	X
ejpam-5956	425	6	,	,	PUNCT
ejpam-5956	425	7	ℓp	ℓp	ADJ
ejpam-5956	425	8	)	)	PUNCT
ejpam-5956	425	9	be	be	AUX
ejpam-5956	425	10	a	a	DET
ejpam-5956	425	11	picture	picture	NOUN
ejpam-5956	425	12	fuzzy	fuzzy	ADJ
ejpam-5956	425	13	ideal	ideal	ADJ
ejpam-5956	425	14	topological	topological	ADJ
ejpam-5956	425	15	space	space	NOUN
ejpam-5956	425	16	.	.	PUNCT
ejpam-5956	426	1	then	then	ADV
ejpam-5956	426	2	,	,	PUNCT
ejpam-5956	426	3	for	for	ADP
ejpam-5956	426	4	each	each	DET
ejpam-5956	426	5	k	k	PROPN
ejpam-5956	426	6	∈	∈	PROPN
ejpam-5956	426	7	(	(	PUNCT
ejpam-5956	426	8	i3	i3	NOUN
ejpam-5956	426	9	)	)	PUNCT
ejpam-5956	426	10	ξ	ξ	PROPN
ejpam-5956	426	11	,	,	PUNCT
ejpam-5956	426	12	ς	ς	PROPN
ejpam-5956	426	13	∈	∈	PROPN
ejpam-5956	426	14	i0,κ	i0,κ	PROPN
ejpam-5956	426	15	∈	∈	PROPN
ejpam-5956	426	16	i1	i1	PROPN
ejpam-5956	426	17	and	and	CCONJ
ejpam-5956	426	18	ϑ	ϑ	PROPN
ejpam-5956	426	19	∈	∈	PROPN
ejpam-5956	426	20	i1	i1	PROPN
ejpam-5956	426	21	,	,	PUNCT
ejpam-5956	426	22	we	we	PRON
ejpam-5956	426	23	define	define	VERB
ejpam-5956	426	24	an	an	DET
ejpam-5956	426	25	operator	operator	NOUN
ejpam-5956	426	26	int∗	int∗	NOUN
ejpam-5956	426	27	:	:	PUNCT
ejpam-5956	426	28	(	(	PUNCT
ejpam-5956	426	29	i3	i3	NOUN
ejpam-5956	426	30	)	)	PUNCT
ejpam-5956	426	31	ξ	ξ	PROPN
ejpam-5956	426	32	×	×	NOUN
ejpam-5956	426	33	i3	i3	NOUN
ejpam-5956	426	34	→	→	SYM
ejpam-5956	426	35	(	(	PUNCT
ejpam-5956	426	36	i3	i3	NOUN
ejpam-5956	426	37	)	)	PUNCT
ejpam-5956	426	38	ξ	ξ	PROPN
ejpam-5956	426	39	as	as	SCONJ
ejpam-5956	426	40	follows	follow	VERB
ejpam-5956	426	41	:	:	PUNCT
ejpam-5956	426	42	int∗(k	int∗(k	NUM
ejpam-5956	426	43	,	,	PUNCT
ejpam-5956	426	44	⟨ς	⟨ς	NOUN
ejpam-5956	426	45	,	,	PUNCT
ejpam-5956	426	46	κ	κ	NOUN
ejpam-5956	426	47	,	,	PUNCT
ejpam-5956	426	48	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	426	49	)	)	PUNCT
ejpam-5956	426	50	=	=	SYM
ejpam-5956	427	1	k	k	PROPN
ejpam-5956	427	2	∩	∩	PROPN
ejpam-5956	427	3	ⅎ	ⅎ	X
ejpam-5956	427	4	(	(	PUNCT
ejpam-5956	427	5	φ(ⅎk	φ(ⅎk	PROPN
ejpam-5956	427	6	,	,	PUNCT
ejpam-5956	427	7	⟨ς	⟨ς	NOUN
ejpam-5956	427	8	,	,	PUNCT
ejpam-5956	427	9	κ	κ	NOUN
ejpam-5956	427	10	,	,	PUNCT
ejpam-5956	427	11	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	427	12	)	)	PUNCT
ejpam-5956	427	13	)	)	PUNCT
ejpam-5956	427	14	.	.	PUNCT
ejpam-5956	428	1	for	for	ADP
ejpam-5956	428	2	k	k	PROPN
ejpam-5956	428	3	,	,	PUNCT
ejpam-5956	428	4	q	q	PROPN
ejpam-5956	428	5	∈	∈	PROPN
ejpam-5956	428	6	(	(	PUNCT
ejpam-5956	428	7	i3	i3	NOUN
ejpam-5956	428	8	)	)	PUNCT
ejpam-5956	428	9	ξ	ξ	PROPN
ejpam-5956	428	10	,	,	PUNCT
ejpam-5956	428	11	the	the	DET
ejpam-5956	428	12	operator	operator	NOUN
ejpam-5956	428	13	int∗	int∗	PROPN
ejpam-5956	428	14	satisfies	satisfy	VERB
ejpam-5956	428	15	the	the	DET
ejpam-5956	428	16	following	follow	VERB
ejpam-5956	428	17	properties	property	NOUN
ejpam-5956	428	18	:	:	PUNCT
ejpam-5956	428	19	(	(	PUNCT
ejpam-5956	428	20	1	1	X
ejpam-5956	428	21	)	)	PUNCT
ejpam-5956	428	22	int∗(♯	int∗(♯	PROPN
ejpam-5956	428	23	,	,	PUNCT
ejpam-5956	428	24	⟨ς	⟨ς	NOUN
ejpam-5956	428	25	,	,	PUNCT
ejpam-5956	428	26	κ	κ	NOUN
ejpam-5956	428	27	,	,	PUNCT
ejpam-5956	428	28	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	428	29	)	)	PUNCT
ejpam-5956	428	30	=	=	SYM
ejpam-5956	428	31	♯.	♯.	PROPN
ejpam-5956	428	32	(	(	PUNCT
ejpam-5956	428	33	2	2	X
ejpam-5956	428	34	)	)	PUNCT
ejpam-5956	428	35	intτ	intτ	NOUN
ejpam-5956	428	36	(	(	PUNCT
ejpam-5956	428	37	k	k	NOUN
ejpam-5956	428	38	,	,	PUNCT
ejpam-5956	428	39	⟨ς	⟨ς	NOUN
ejpam-5956	428	40	,	,	PUNCT
ejpam-5956	428	41	κ	κ	NOUN
ejpam-5956	428	42	,	,	PUNCT
ejpam-5956	428	43	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	428	44	)	)	PUNCT
ejpam-5956	429	1	⊆	⊆	NUM
ejpam-5956	429	2	int∗(k	int∗(k	NUM
ejpam-5956	429	3	,	,	PUNCT
ejpam-5956	429	4	⟨ς	⟨ς	NOUN
ejpam-5956	429	5	,	,	PUNCT
ejpam-5956	429	6	κ	κ	NOUN
ejpam-5956	429	7	,	,	PUNCT
ejpam-5956	429	8	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	429	9	)	)	PUNCT
ejpam-5956	429	10	⊆	⊆	NUM
ejpam-5956	429	11	k.	k.	NOUN
ejpam-5956	429	12	(	(	PUNCT
ejpam-5956	429	13	3	3	NUM
ejpam-5956	429	14	)	)	PUNCT
ejpam-5956	429	15	if	if	SCONJ
ejpam-5956	429	16	k	k	PROPN
ejpam-5956	429	17	⊆	⊆	NUM
ejpam-5956	429	18	q	q	NOUN
ejpam-5956	429	19	,	,	PUNCT
ejpam-5956	429	20	then	then	ADV
ejpam-5956	429	21	int∗(k	int∗(k	NUM
ejpam-5956	429	22	,	,	PUNCT
ejpam-5956	429	23	⟨ς	⟨ς	NOUN
ejpam-5956	429	24	,	,	PUNCT
ejpam-5956	429	25	κ	κ	NOUN
ejpam-5956	429	26	,	,	PUNCT
ejpam-5956	429	27	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	429	28	)	)	PUNCT
ejpam-5956	429	29	⊆	⊆	NUM
ejpam-5956	429	30	int∗	int∗	NOUN
ejpam-5956	429	31	(	(	PUNCT
ejpam-5956	429	32	q	q	NOUN
ejpam-5956	429	33	,	,	PUNCT
ejpam-5956	429	34	⟨ς	⟨ς	NOUN
ejpam-5956	429	35	,	,	PUNCT
ejpam-5956	429	36	κ	κ	NOUN
ejpam-5956	429	37	,	,	PUNCT
ejpam-5956	429	38	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	429	39	)	)	PUNCT
ejpam-5956	429	40	.	.	PUNCT
ejpam-5956	430	1	(	(	PUNCT
ejpam-5956	430	2	4	4	X
ejpam-5956	430	3	)	)	PUNCT
ejpam-5956	430	4	int∗(k∩	int∗(k∩	NOUN
ejpam-5956	430	5	q	q	NOUN
ejpam-5956	430	6	,	,	PUNCT
ejpam-5956	430	7	⟨ς	⟨ς	NOUN
ejpam-5956	430	8	,	,	PUNCT
ejpam-5956	430	9	κ	κ	NOUN
ejpam-5956	430	10	,	,	PUNCT
ejpam-5956	430	11	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	430	12	)	)	PUNCT
ejpam-5956	430	13	⊆	⊆	NUM
ejpam-5956	430	14	int∗(k	int∗(k	NUM
ejpam-5956	430	15	,	,	PUNCT
ejpam-5956	430	16	⟨ς	⟨ς	NOUN
ejpam-5956	430	17	,	,	PUNCT
ejpam-5956	430	18	κ	κ	NOUN
ejpam-5956	430	19	,	,	PUNCT
ejpam-5956	430	20	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	430	21	)	)	PUNCT
ejpam-5956	430	22	∩	∩	NOUN
ejpam-5956	430	23	int∗	int∗	VERB
ejpam-5956	430	24	(	(	PUNCT
ejpam-5956	430	25	q	q	NOUN
ejpam-5956	430	26	,	,	PUNCT
ejpam-5956	430	27	⟨ς	⟨ς	NOUN
ejpam-5956	430	28	,	,	PUNCT
ejpam-5956	430	29	κ	κ	NOUN
ejpam-5956	430	30	,	,	PUNCT
ejpam-5956	430	31	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	430	32	)	)	PUNCT
ejpam-5956	430	33	.	.	PUNCT
ejpam-5956	431	1	(	(	PUNCT
ejpam-5956	431	2	5	5	X
ejpam-5956	431	3	)	)	PUNCT
ejpam-5956	431	4	int∗(♯	int∗(♯	PROPN
ejpam-5956	431	5	,	,	PUNCT
ejpam-5956	431	6	⟨ς	⟨ς	NOUN
ejpam-5956	431	7	,	,	PUNCT
ejpam-5956	431	8	κ	κ	NOUN
ejpam-5956	431	9	,	,	PUNCT
ejpam-5956	431	10	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	431	11	)	)	PUNCT
ejpam-5956	431	12	=	=	SYM
ejpam-5956	432	1	int	int	NOUN
ejpam-5956	432	2	(	(	PUNCT
ejpam-5956	432	3	k	k	NOUN
ejpam-5956	432	4	,	,	PUNCT
ejpam-5956	432	5	⟨ς	⟨ς	NOUN
ejpam-5956	432	6	,	,	PUNCT
ejpam-5956	432	7	κ	κ	NOUN
ejpam-5956	432	8	,	,	PUNCT
ejpam-5956	432	9	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	432	10	)	)	PUNCT
ejpam-5956	432	11	if	if	SCONJ
ejpam-5956	432	12	ℓp	ℓp	NOUN
ejpam-5956	432	13	=	=	SYM
ejpam-5956	432	14	ℓp0	ℓp0	NOUN
ejpam-5956	432	15	.	.	PUNCT
ejpam-5956	433	1	(	(	PUNCT
ejpam-5956	433	2	6	6	NUM
ejpam-5956	433	3	)	)	PUNCT
ejpam-5956	433	4	int∗(ⅎ	int∗(ⅎ	VERB
ejpam-5956	433	5	k	k	NOUN
ejpam-5956	433	6	,	,	PUNCT
ejpam-5956	433	7	⟨ς	⟨ς	NOUN
ejpam-5956	433	8	,	,	PUNCT
ejpam-5956	433	9	κ	κ	NOUN
ejpam-5956	433	10	,	,	PUNCT
ejpam-5956	433	11	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	433	12	)	)	PUNCT
ejpam-5956	433	13	=	=	SYM
ejpam-5956	433	14	ⅎ	ⅎ	X
ejpam-5956	433	15	(	(	PUNCT
ejpam-5956	433	16	cl∗(k	cl∗(k	NOUN
ejpam-5956	433	17	,	,	PUNCT
ejpam-5956	433	18	⟨ς	⟨ς	NOUN
ejpam-5956	433	19	,	,	PUNCT
ejpam-5956	433	20	κ	κ	NOUN
ejpam-5956	433	21	,	,	PUNCT
ejpam-5956	433	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	433	23	)	)	PUNCT
ejpam-5956	433	24	)	)	PUNCT
ejpam-5956	433	25	.	.	PUNCT
ejpam-5956	434	1	proof	proof	NOUN
ejpam-5956	434	2	.	.	PUNCT
ejpam-5956	435	1	it	it	PRON
ejpam-5956	435	2	is	be	AUX
ejpam-5956	435	3	similarly	similarly	ADV
ejpam-5956	435	4	proved	prove	VERB
ejpam-5956	435	5	as	as	ADP
ejpam-5956	435	6	the	the	DET
ejpam-5956	435	7	proof	proof	NOUN
ejpam-5956	435	8	of	of	ADP
ejpam-5956	435	9	theorem	theorem	ADJ
ejpam-5956	435	10	3.2	3.2	NUM
ejpam-5956	435	11	.	.	PUNCT
ejpam-5956	436	1	definition	definition	NOUN
ejpam-5956	436	2	3.5	3.5	NUM
ejpam-5956	436	3	.	.	PUNCT
ejpam-5956	437	1	let	let	VERB
ejpam-5956	437	2	f	f	NOUN
ejpam-5956	437	3	:	:	PUNCT
ejpam-5956	437	4	(	(	PUNCT
ejpam-5956	437	5	ξ	ξ	X
ejpam-5956	437	6	,	,	PUNCT
ejpam-5956	437	7	τ	τ	X
ejpam-5956	437	8	)	)	PUNCT
ejpam-5956	437	9	↬	↬	PROPN
ejpam-5956	437	10	(	(	PUNCT
ejpam-5956	437	11	υ	υ	PROPN
ejpam-5956	437	12	,	,	PUNCT
ejpam-5956	437	13	σ	σ	PROPN
ejpam-5956	437	14	)	)	PUNCT
ejpam-5956	437	15	be	be	VERB
ejpam-5956	437	16	a	a	DET
ejpam-5956	437	17	pfm	pfm	NOUN
ejpam-5956	437	18	,	,	PUNCT
ejpam-5956	437	19	ς	ς	PROPN
ejpam-5956	437	20	∈	∈	PROPN
ejpam-5956	437	21	i0,κ	i0,κ	PROPN
ejpam-5956	437	22	∈	∈	PROPN
ejpam-5956	437	23	i1	i1	PROPN
ejpam-5956	437	24	and	and	CCONJ
ejpam-5956	437	25	ϑ	ϑ	PROPN
ejpam-5956	437	26	∈	∈	PROPN
ejpam-5956	437	27	i1	i1	PROPN
ejpam-5956	437	28	.	.	PUNCT
ejpam-5956	438	1	then	then	ADV
ejpam-5956	438	2	,	,	PUNCT
ejpam-5956	438	3	f	f	PROPN
ejpam-5956	438	4	is	be	AUX
ejpam-5956	438	5	called	call	VERB
ejpam-5956	438	6	:	:	PUNCT
ejpam-5956	438	7	(	(	PUNCT
ejpam-5956	438	8	1	1	X
ejpam-5956	438	9	)	)	PUNCT
ejpam-5956	438	10	pf	pf	ADP
ejpam-5956	438	11	us	we	PRON
ejpam-5956	438	12	-	-	ADJ
ejpam-5956	438	13	continuous	continuous	ADJ
ejpam-5956	438	14	at	at	ADP
ejpam-5956	438	15	a	a	DET
ejpam-5956	438	16	fuzzy	fuzzy	ADJ
ejpam-5956	438	17	point	point	NOUN
ejpam-5956	438	18	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	438	19	,	,	PUNCT
ejpam-5956	438	20	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	438	21	∈	∈	PROPN
ejpam-5956	439	1	d	d	X
ejpam-5956	439	2	(	(	PUNCT
ejpam-5956	439	3	f	f	X
ejpam-5956	439	4	)	)	PUNCT
ejpam-5956	439	5	iff	iff	PROPN
ejpam-5956	439	6	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	439	7	,	,	PUNCT
ejpam-5956	439	8	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	439	9	∈	∈	PROPN
ejpam-5956	439	10	fu	fu	NOUN
ejpam-5956	439	11	(	(	PUNCT
ejpam-5956	439	12	q	q	NOUN
ejpam-5956	439	13	)	)	PUNCT
ejpam-5956	439	14	for	for	ADP
ejpam-5956	439	15	each	each	DET
ejpam-5956	439	16	q	q	PROPN
ejpam-5956	439	17	∈	∈	PROPN
ejpam-5956	439	18	(	(	PUNCT
ejpam-5956	439	19	i3	i3	NOUN
ejpam-5956	439	20	)	)	PUNCT
ejpam-5956	439	21	υ	υ	PROPN
ejpam-5956	439	22	,	,	PUNCT
ejpam-5956	439	23	σ	σ	PROPN
ejpam-5956	439	24	(	(	PUNCT
ejpam-5956	439	25	q	q	NOUN
ejpam-5956	439	26	)	)	PUNCT
ejpam-5956	439	27	≥	≥	NOUN
ejpam-5956	439	28	⟨ς	⟨ς	NOUN
ejpam-5956	439	29	,	,	PUNCT
ejpam-5956	439	30	κ	κ	NOUN
ejpam-5956	439	31	,	,	PUNCT
ejpam-5956	439	32	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	439	33	there	there	ADV
ejpam-5956	439	34	exists	exist	VERB
ejpam-5956	439	35	k	k	PROPN
ejpam-5956	439	36	∈	∈	PROPN
ejpam-5956	439	37	(	(	PUNCT
ejpam-5956	439	38	i3	i3	NOUN
ejpam-5956	439	39	)	)	PUNCT
ejpam-5956	439	40	ξ	ξ	PROPN
ejpam-5956	439	41	,	,	PUNCT
ejpam-5956	439	42	τ(k	τ(k	PROPN
ejpam-5956	439	43	)	)	PUNCT
ejpam-5956	439	44	≥	≥	NUM
ejpam-5956	439	45	⟨ς	⟨ς	NOUN
ejpam-5956	439	46	,	,	PUNCT
ejpam-5956	439	47	κ	κ	NOUN
ejpam-5956	439	48	,	,	PUNCT
ejpam-5956	439	49	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	439	50	and	and	CCONJ
ejpam-5956	439	51	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	439	52	,	,	PUNCT
ejpam-5956	439	53	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	439	54	∈	∈	PROPN
ejpam-5956	439	55	k	k	PRON
ejpam-5956	439	56	such	such	ADJ
ejpam-5956	439	57	that	that	SCONJ
ejpam-5956	439	58	k	k	PRON
ejpam-5956	439	59	∩d	∩d	X
ejpam-5956	439	60	(	(	PUNCT
ejpam-5956	439	61	f	f	X
ejpam-5956	439	62	)	)	PUNCT
ejpam-5956	439	63	⊆	⊆	NUM
ejpam-5956	439	64	fu	fu	NOUN
ejpam-5956	439	65	(	(	PUNCT
ejpam-5956	439	66	q	q	NOUN
ejpam-5956	439	67	)	)	PUNCT
ejpam-5956	439	68	.	.	PUNCT
ejpam-5956	440	1	(	(	PUNCT
ejpam-5956	440	2	2	2	X
ejpam-5956	440	3	)	)	PUNCT
ejpam-5956	440	4	pf	pf	NOUN
ejpam-5956	440	5	ls	ls	ADV
ejpam-5956	440	6	-	-	ADJ
ejpam-5956	440	7	continuous	continuous	ADJ
ejpam-5956	440	8	at	at	ADP
ejpam-5956	440	9	a	a	DET
ejpam-5956	440	10	fuzzy	fuzzy	ADJ
ejpam-5956	440	11	point	point	NOUN
ejpam-5956	440	12	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	440	13	,	,	PUNCT
ejpam-5956	440	14	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	440	15	∈	∈	PROPN
ejpam-5956	440	16	d	d	X
ejpam-5956	440	17	(	(	PUNCT
ejpam-5956	440	18	f	f	X
ejpam-5956	440	19	)	)	PUNCT
ejpam-5956	440	20	iff	iff	PROPN
ejpam-5956	440	21	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	440	22	,	,	PUNCT
ejpam-5956	440	23	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	440	24	∈	∈	PROPN
ejpam-5956	440	25	fl	fl	PROPN
ejpam-5956	440	26	(	(	PUNCT
ejpam-5956	440	27	q	q	NOUN
ejpam-5956	440	28	)	)	PUNCT
ejpam-5956	440	29	for	for	ADP
ejpam-5956	440	30	each	each	DET
ejpam-5956	440	31	q	q	PROPN
ejpam-5956	440	32	∈	∈	PROPN
ejpam-5956	440	33	(	(	PUNCT
ejpam-5956	440	34	i3	i3	NOUN
ejpam-5956	440	35	)	)	PUNCT
ejpam-5956	440	36	υ	υ	PROPN
ejpam-5956	440	37	,	,	PUNCT
ejpam-5956	440	38	σ	σ	PROPN
ejpam-5956	440	39	(	(	PUNCT
ejpam-5956	440	40	q	q	NOUN
ejpam-5956	440	41	)	)	PUNCT
ejpam-5956	440	42	≥	≥	NOUN
ejpam-5956	440	43	⟨ς	⟨ς	NOUN
ejpam-5956	440	44	,	,	PUNCT
ejpam-5956	440	45	κ	κ	NOUN
ejpam-5956	440	46	,	,	PUNCT
ejpam-5956	440	47	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	440	48	there	there	ADV
ejpam-5956	440	49	exists	exist	VERB
ejpam-5956	440	50	k	k	PROPN
ejpam-5956	440	51	∈	∈	PROPN
ejpam-5956	440	52	(	(	PUNCT
ejpam-5956	440	53	i3	i3	NOUN
ejpam-5956	440	54	)	)	PUNCT
ejpam-5956	440	55	ξ	ξ	PROPN
ejpam-5956	440	56	,	,	PUNCT
ejpam-5956	440	57	τ(k	τ(k	PROPN
ejpam-5956	440	58	)	)	PUNCT
ejpam-5956	440	59	≥	≥	NUM
ejpam-5956	440	60	⟨ς	⟨ς	NOUN
ejpam-5956	440	61	,	,	PUNCT
ejpam-5956	440	62	κ	κ	NOUN
ejpam-5956	440	63	,	,	PUNCT
ejpam-5956	440	64	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	440	65	and	and	CCONJ
ejpam-5956	440	66	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	440	67	,	,	PUNCT
ejpam-5956	440	68	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	440	69	∈	∈	PROPN
ejpam-5956	440	70	k	k	PRON
ejpam-5956	440	71	such	such	ADJ
ejpam-5956	440	72	that	that	SCONJ
ejpam-5956	440	73	k	k	PROPN
ejpam-5956	440	74	⊆	⊆	NUM
ejpam-5956	440	75	fl	fl	PROPN
ejpam-5956	440	76	(	(	PUNCT
ejpam-5956	440	77	q	q	NOUN
ejpam-5956	440	78	)	)	PUNCT
ejpam-5956	440	79	.	.	PUNCT
ejpam-5956	441	1	(	(	PUNCT
ejpam-5956	441	2	3	3	X
ejpam-5956	441	3	)	)	PUNCT
ejpam-5956	441	4	pf	pf	PROPN
ejpam-5956	441	5	ua	ua	PROPN
ejpam-5956	441	6	-	-	NOUN
ejpam-5956	441	7	continuous	continuous	ADJ
ejpam-5956	441	8	at	at	ADP
ejpam-5956	441	9	a	a	DET
ejpam-5956	441	10	fuzzy	fuzzy	ADJ
ejpam-5956	441	11	point	point	NOUN
ejpam-5956	441	12	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	441	13	,	,	PUNCT
ejpam-5956	441	14	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	441	15	∈	∈	PROPN
ejpam-5956	441	16	d	d	X
ejpam-5956	441	17	(	(	PUNCT
ejpam-5956	441	18	f	f	X
ejpam-5956	441	19	)	)	PUNCT
ejpam-5956	441	20	iff	iff	PROPN
ejpam-5956	441	21	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	441	22	,	,	PUNCT
ejpam-5956	441	23	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	441	24	∈	∈	PROPN
ejpam-5956	441	25	fu	fu	NOUN
ejpam-5956	441	26	(	(	PUNCT
ejpam-5956	441	27	q	q	NOUN
ejpam-5956	441	28	)	)	PUNCT
ejpam-5956	441	29	for	for	ADP
ejpam-5956	441	30	each	each	DET
ejpam-5956	441	31	q	q	PROPN
ejpam-5956	441	32	∈	∈	PROPN
ejpam-5956	441	33	(	(	PUNCT
ejpam-5956	441	34	i3	i3	NOUN
ejpam-5956	441	35	)	)	PUNCT
ejpam-5956	441	36	υ	υ	PROPN
ejpam-5956	441	37	,	,	PUNCT
ejpam-5956	441	38	σ	σ	PROPN
ejpam-5956	441	39	(	(	PUNCT
ejpam-5956	441	40	q	q	NOUN
ejpam-5956	441	41	)	)	PUNCT
ejpam-5956	441	42	≥	≥	NOUN
ejpam-5956	441	43	⟨ς	⟨ς	NOUN
ejpam-5956	441	44	,	,	PUNCT
ejpam-5956	441	45	κ	κ	NOUN
ejpam-5956	441	46	,	,	PUNCT
ejpam-5956	441	47	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	441	48	there	there	ADV
ejpam-5956	441	49	exists	exist	VERB
ejpam-5956	441	50	k	k	PROPN
ejpam-5956	441	51	∈	∈	PROPN
ejpam-5956	441	52	(	(	PUNCT
ejpam-5956	441	53	i3	i3	NOUN
ejpam-5956	441	54	)	)	PUNCT
ejpam-5956	441	55	ξ	ξ	PROPN
ejpam-5956	441	56	,	,	PUNCT
ejpam-5956	441	57	τ(k	τ(k	PROPN
ejpam-5956	441	58	)	)	PUNCT
ejpam-5956	441	59	≥	≥	NUM
ejpam-5956	441	60	⟨ς	⟨ς	NOUN
ejpam-5956	441	61	,	,	PUNCT
ejpam-5956	441	62	κ	κ	NOUN
ejpam-5956	441	63	,	,	PUNCT
ejpam-5956	441	64	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	441	65	and	and	CCONJ
ejpam-5956	441	66	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	441	67	,	,	PUNCT
ejpam-5956	441	68	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	441	69	∈	∈	PROPN
ejpam-5956	441	70	k	k	PRON
ejpam-5956	441	71	such	such	ADJ
ejpam-5956	441	72	that	that	SCONJ
ejpam-5956	441	73	k	k	PRON
ejpam-5956	441	74	∩d	∩d	X
ejpam-5956	441	75	(	(	PUNCT
ejpam-5956	441	76	f	f	X
ejpam-5956	441	77	)	)	PUNCT
ejpam-5956	441	78	⊆	⊆	X
ejpam-5956	441	79	fu(intσ(clσ	fu(intσ(clσ	PROPN
ejpam-5956	441	80	(	(	PUNCT
ejpam-5956	441	81	q	q	NOUN
ejpam-5956	441	82	,	,	PUNCT
ejpam-5956	441	83	⟨ς	⟨ς	NOUN
ejpam-5956	441	84	,	,	PUNCT
ejpam-5956	441	85	κ	κ	NOUN
ejpam-5956	441	86	,	,	PUNCT
ejpam-5956	441	87	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	441	88	)	)	PUNCT
ejpam-5956	441	89	,	,	PUNCT
ejpam-5956	441	90	⟨ς	⟨ς	NOUN
ejpam-5956	441	91	,	,	PUNCT
ejpam-5956	441	92	κ	κ	NOUN
ejpam-5956	441	93	,	,	PUNCT
ejpam-5956	441	94	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	441	95	)	)	PUNCT
ejpam-5956	441	96	)	)	PUNCT
ejpam-5956	441	97	.	.	PUNCT
ejpam-5956	442	1	(	(	PUNCT
ejpam-5956	442	2	4	4	X
ejpam-5956	442	3	)	)	PUNCT
ejpam-5956	442	4	pf	pf	X
ejpam-5956	442	5	la	la	ADV
ejpam-5956	442	6	-	-	NOUN
ejpam-5956	442	7	continuous	continuous	ADJ
ejpam-5956	442	8	at	at	ADP
ejpam-5956	442	9	a	a	DET
ejpam-5956	442	10	fuzzy	fuzzy	ADJ
ejpam-5956	442	11	point	point	NOUN
ejpam-5956	442	12	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	442	13	,	,	PUNCT
ejpam-5956	442	14	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	442	15	∈	∈	PROPN
ejpam-5956	442	16	d	d	X
ejpam-5956	442	17	(	(	PUNCT
ejpam-5956	442	18	f	f	X
ejpam-5956	442	19	)	)	PUNCT
ejpam-5956	442	20	iff	iff	PROPN
ejpam-5956	442	21	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	442	22	,	,	PUNCT
ejpam-5956	442	23	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	442	24	∈	∈	PROPN
ejpam-5956	442	25	fl	fl	PROPN
ejpam-5956	442	26	(	(	PUNCT
ejpam-5956	442	27	q	q	NOUN
ejpam-5956	442	28	)	)	PUNCT
ejpam-5956	442	29	for	for	ADP
ejpam-5956	442	30	each	each	DET
ejpam-5956	442	31	q	q	PROPN
ejpam-5956	442	32	∈	∈	PROPN
ejpam-5956	442	33	(	(	PUNCT
ejpam-5956	442	34	i3	i3	NOUN
ejpam-5956	442	35	)	)	PUNCT
ejpam-5956	442	36	υ	υ	PROPN
ejpam-5956	442	37	,	,	PUNCT
ejpam-5956	442	38	σ	σ	PROPN
ejpam-5956	442	39	(	(	PUNCT
ejpam-5956	442	40	q	q	NOUN
ejpam-5956	442	41	)	)	PUNCT
ejpam-5956	442	42	≥	≥	NOUN
ejpam-5956	442	43	⟨ς	⟨ς	NOUN
ejpam-5956	442	44	,	,	PUNCT
ejpam-5956	442	45	κ	κ	NOUN
ejpam-5956	442	46	,	,	PUNCT
ejpam-5956	442	47	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	442	48	there	there	ADV
ejpam-5956	442	49	exists	exist	VERB
ejpam-5956	442	50	k	k	PROPN
ejpam-5956	442	51	∈	∈	PROPN
ejpam-5956	442	52	(	(	PUNCT
ejpam-5956	442	53	i3	i3	NOUN
ejpam-5956	442	54	)	)	PUNCT
ejpam-5956	442	55	ξ	ξ	PROPN
ejpam-5956	442	56	,	,	PUNCT
ejpam-5956	442	57	τ(k	τ(k	PROPN
ejpam-5956	442	58	)	)	PUNCT
ejpam-5956	442	59	≥	≥	NUM
ejpam-5956	442	60	⟨ς	⟨ς	NOUN
ejpam-5956	442	61	,	,	PUNCT
ejpam-5956	442	62	κ	κ	NOUN
ejpam-5956	442	63	,	,	PUNCT
ejpam-5956	442	64	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	442	65	and	and	CCONJ
ejpam-5956	442	66	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	442	67	,	,	PUNCT
ejpam-5956	442	68	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	442	69	∈	∈	PROPN
ejpam-5956	442	70	k	k	PROPN
ejpam-5956	442	71	such	such	ADJ
ejpam-5956	442	72	dali	dali	PROPN
ejpam-5956	442	73	shi	shi	PROPN
ejpam-5956	442	74	et	et	PROPN
ejpam-5956	442	75	al	al	PROPN
ejpam-5956	442	76	.	.	PUNCT
ejpam-5956	442	77	/	/	SYM
ejpam-5956	442	78	eur	eur	PROPN
ejpam-5956	442	79	.	.	PUNCT
ejpam-5956	443	1	j.	j.	PROPN
ejpam-5956	443	2	pure	pure	PROPN
ejpam-5956	443	3	appl	appl	PROPN
ejpam-5956	443	4	.	.	PROPN
ejpam-5956	443	5	math	math	PROPN
ejpam-5956	443	6	,	,	PUNCT
ejpam-5956	443	7	18	18	NUM
ejpam-5956	443	8	(	(	PUNCT
ejpam-5956	443	9	2	2	NUM
ejpam-5956	443	10	)	)	PUNCT
ejpam-5956	443	11	(	(	PUNCT
ejpam-5956	443	12	2025	2025	NUM
ejpam-5956	443	13	)	)	PUNCT
ejpam-5956	443	14	,	,	PUNCT
ejpam-5956	443	15	5956	5956	NUM
ejpam-5956	443	16	15	15	NUM
ejpam-5956	443	17	of	of	ADP
ejpam-5956	443	18	30	30	NUM
ejpam-5956	444	1	that	that	PRON
ejpam-5956	444	2	k	k	PROPN
ejpam-5956	444	3	⊆	⊆	NUM
ejpam-5956	444	4	fl(intσ(clσ	fl(intσ(clσ	PROPN
ejpam-5956	444	5	(	(	PUNCT
ejpam-5956	444	6	q	q	NOUN
ejpam-5956	444	7	,	,	PUNCT
ejpam-5956	444	8	⟨ς	⟨ς	NOUN
ejpam-5956	444	9	,	,	PUNCT
ejpam-5956	444	10	κ	κ	NOUN
ejpam-5956	444	11	,	,	PUNCT
ejpam-5956	444	12	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	444	13	)	)	PUNCT
ejpam-5956	444	14	,	,	PUNCT
ejpam-5956	444	15	⟨ς	⟨ς	NOUN
ejpam-5956	444	16	,	,	PUNCT
ejpam-5956	444	17	κ	κ	NOUN
ejpam-5956	444	18	,	,	PUNCT
ejpam-5956	444	19	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	444	20	)	)	PUNCT
ejpam-5956	444	21	)	)	PUNCT
ejpam-5956	444	22	.	.	PUNCT
ejpam-5956	445	1	(	(	PUNCT
ejpam-5956	445	2	5	5	X
ejpam-5956	445	3	)	)	PUNCT
ejpam-5956	445	4	pf	pf	ADP
ejpam-5956	445	5	us	we	PRON
ejpam-5956	445	6	(	(	PUNCT
ejpam-5956	445	7	resp	resp	NOUN
ejpam-5956	445	8	.	.	PUNCT
ejpam-5956	446	1	pf	pf	PROPN
ejpam-5956	446	2	ls)-continuous	ls)-continuous	PROPN
ejpam-5956	446	3	iff	iff	PROPN
ejpam-5956	446	4	it	it	PRON
ejpam-5956	446	5	is	be	AUX
ejpam-5956	446	6	pf	pf	PROPN
ejpam-5956	446	7	us	us	PROPN
ejpam-5956	446	8	(	(	PUNCT
ejpam-5956	446	9	resp	resp	NOUN
ejpam-5956	446	10	.	.	PUNCT
ejpam-5956	447	1	pf	pf	PROPN
ejpam-5956	447	2	ls)-continuous	ls)-continuous	ADJ
ejpam-5956	447	3	at	at	ADP
ejpam-5956	447	4	every	every	DET
ejpam-5956	447	5	fuzzy	fuzzy	ADJ
ejpam-5956	447	6	point	point	NOUN
ejpam-5956	447	7	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	447	8	,	,	PUNCT
ejpam-5956	447	9	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	447	10	∈	∈	PROPN
ejpam-5956	447	11	d	d	X
ejpam-5956	447	12	(	(	PUNCT
ejpam-5956	447	13	f	f	NOUN
ejpam-5956	447	14	)	)	PUNCT
ejpam-5956	447	15	.	.	PUNCT
ejpam-5956	448	1	(	(	PUNCT
ejpam-5956	448	2	6	6	NUM
ejpam-5956	448	3	)	)	PUNCT
ejpam-5956	448	4	pf	pf	PROPN
ejpam-5956	448	5	ua	ua	PROPN
ejpam-5956	448	6	(	(	PUNCT
ejpam-5956	448	7	resp	resp	PROPN
ejpam-5956	448	8	.	.	PUNCT
ejpam-5956	449	1	pf	pf	PROPN
ejpam-5956	449	2	la)-continuous	la)-continuous	PROPN
ejpam-5956	449	3	iff	iff	PROPN
ejpam-5956	449	4	it	it	PRON
ejpam-5956	449	5	is	be	AUX
ejpam-5956	449	6	pf	pf	PROPN
ejpam-5956	449	7	ua	ua	PROPN
ejpam-5956	449	8	(	(	PUNCT
ejpam-5956	449	9	resp	resp	PROPN
ejpam-5956	449	10	.	.	PUNCT
ejpam-5956	450	1	pf	pf	PROPN
ejpam-5956	450	2	la)-continuous	la)-continuous	NOUN
ejpam-5956	450	3	at	at	ADP
ejpam-5956	450	4	every	every	DET
ejpam-5956	450	5	fuzzy	fuzzy	ADJ
ejpam-5956	450	6	point	point	NOUN
ejpam-5956	450	7	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	450	8	,	,	PUNCT
ejpam-5956	450	9	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	450	10	∈	∈	PROPN
ejpam-5956	451	1	d	d	X
ejpam-5956	451	2	(	(	PUNCT
ejpam-5956	451	3	f	f	NOUN
ejpam-5956	451	4	)	)	PUNCT
ejpam-5956	451	5	.	.	PUNCT
ejpam-5956	452	1	definition	definition	NOUN
ejpam-5956	452	2	3.6	3.6	NUM
ejpam-5956	452	3	.	.	PUNCT
ejpam-5956	453	1	let	let	VERB
ejpam-5956	453	2	f	f	NOUN
ejpam-5956	453	3	:	:	PUNCT
ejpam-5956	453	4	(	(	PUNCT
ejpam-5956	453	5	ξ	ξ	X
ejpam-5956	453	6	,	,	PUNCT
ejpam-5956	453	7	τ	τ	X
ejpam-5956	453	8	,	,	PUNCT
ejpam-5956	453	9	ℓp	ℓp	ADJ
ejpam-5956	453	10	)	)	PUNCT
ejpam-5956	453	11	↬	↬	PROPN
ejpam-5956	453	12	(	(	PUNCT
ejpam-5956	453	13	υ	υ	PROPN
ejpam-5956	453	14	,	,	PUNCT
ejpam-5956	453	15	σ	σ	PROPN
ejpam-5956	453	16	)	)	PUNCT
ejpam-5956	453	17	be	be	VERB
ejpam-5956	453	18	a	a	DET
ejpam-5956	453	19	pfm	pfm	NOUN
ejpam-5956	453	20	,	,	PUNCT
ejpam-5956	453	21	ς	ς	PROPN
ejpam-5956	453	22	∈	∈	PROPN
ejpam-5956	453	23	i0,κ	i0,κ	PROPN
ejpam-5956	453	24	∈	∈	PROPN
ejpam-5956	453	25	i1	i1	PROPN
ejpam-5956	453	26	and	and	CCONJ
ejpam-5956	453	27	ϑ	ϑ	PROPN
ejpam-5956	453	28	∈	∈	PROPN
ejpam-5956	453	29	i1	i1	PROPN
ejpam-5956	453	30	.	.	PUNCT
ejpam-5956	454	1	then	then	ADV
ejpam-5956	454	2	,	,	PUNCT
ejpam-5956	454	3	f	f	PROPN
ejpam-5956	454	4	is	be	AUX
ejpam-5956	454	5	called	call	VERB
ejpam-5956	454	6	:	:	PUNCT
ejpam-5956	454	7	(	(	PUNCT
ejpam-5956	454	8	1	1	X
ejpam-5956	454	9	)	)	PUNCT
ejpam-5956	454	10	pf	pf	NOUN
ejpam-5956	454	11	u	u	NOUN
ejpam-5956	454	12	ℓp	ℓp	ADJ
ejpam-5956	454	13	-continuous	-continuous	ADJ
ejpam-5956	454	14	at	at	ADP
ejpam-5956	454	15	a	a	DET
ejpam-5956	454	16	fuzzy	fuzzy	ADJ
ejpam-5956	454	17	point	point	NOUN
ejpam-5956	454	18	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	454	19	,	,	PUNCT
ejpam-5956	454	20	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	454	21	∈	∈	PROPN
ejpam-5956	455	1	d	d	X
ejpam-5956	455	2	(	(	PUNCT
ejpam-5956	455	3	f	f	X
ejpam-5956	455	4	)	)	PUNCT
ejpam-5956	455	5	iff	iff	PROPN
ejpam-5956	455	6	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	455	7	,	,	PUNCT
ejpam-5956	455	8	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	455	9	∈	∈	PROPN
ejpam-5956	455	10	fu	fu	NOUN
ejpam-5956	455	11	(	(	PUNCT
ejpam-5956	455	12	q	q	NOUN
ejpam-5956	455	13	)	)	PUNCT
ejpam-5956	455	14	for	for	ADP
ejpam-5956	455	15	each	each	DET
ejpam-5956	455	16	q	q	PROPN
ejpam-5956	455	17	∈	∈	PROPN
ejpam-5956	455	18	(	(	PUNCT
ejpam-5956	455	19	i3	i3	NOUN
ejpam-5956	455	20	)	)	PUNCT
ejpam-5956	455	21	υ	υ	PROPN
ejpam-5956	455	22	,	,	PUNCT
ejpam-5956	455	23	σ	σ	PROPN
ejpam-5956	455	24	(	(	PUNCT
ejpam-5956	455	25	q	q	PROPN
ejpam-5956	455	26	)	)	PUNCT
ejpam-5956	455	27	≥	≥	NOUN
ejpam-5956	455	28	⟨ς	⟨ς	NOUN
ejpam-5956	455	29	,	,	PUNCT
ejpam-5956	455	30	κ	κ	NOUN
ejpam-5956	455	31	,	,	PUNCT
ejpam-5956	455	32	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	455	33	there	there	ADV
ejpam-5956	455	34	exists	exist	VERB
ejpam-5956	455	35	k	k	PROPN
ejpam-5956	455	36	∈	∈	PROPN
ejpam-5956	455	37	(	(	PUNCT
ejpam-5956	455	38	i3	i3	NOUN
ejpam-5956	455	39	)	)	PUNCT
ejpam-5956	455	40	ξ	ξ	PROPN
ejpam-5956	455	41	,	,	PUNCT
ejpam-5956	455	42	τ(k	τ(k	PROPN
ejpam-5956	455	43	)	)	PUNCT
ejpam-5956	455	44	≥	≥	NUM
ejpam-5956	455	45	⟨ς	⟨ς	NOUN
ejpam-5956	455	46	,	,	PUNCT
ejpam-5956	455	47	κ	κ	NOUN
ejpam-5956	455	48	,	,	PUNCT
ejpam-5956	455	49	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	455	50	and	and	CCONJ
ejpam-5956	455	51	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	455	52	,	,	PUNCT
ejpam-5956	455	53	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	455	54	∈	∈	PROPN
ejpam-5956	455	55	k	k	PRON
ejpam-5956	455	56	such	such	ADJ
ejpam-5956	455	57	that	that	SCONJ
ejpam-5956	455	58	k	k	PRON
ejpam-5956	455	59	∩d	∩d	X
ejpam-5956	455	60	(	(	PUNCT
ejpam-5956	455	61	f	f	X
ejpam-5956	455	62	)	)	PUNCT
ejpam-5956	455	63	⊆	⊆	NUM
ejpam-5956	455	64	φ(fu	φ(fu	PROPN
ejpam-5956	455	65	(	(	PUNCT
ejpam-5956	455	66	q	q	NOUN
ejpam-5956	455	67	)	)	PUNCT
ejpam-5956	455	68	,	,	PUNCT
ejpam-5956	455	69	⟨ς	⟨ς	NOUN
ejpam-5956	455	70	,	,	PUNCT
ejpam-5956	455	71	κ	κ	NOUN
ejpam-5956	455	72	,	,	PUNCT
ejpam-5956	455	73	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	455	74	)	)	PUNCT
ejpam-5956	455	75	.	.	PUNCT
ejpam-5956	456	1	(	(	PUNCT
ejpam-5956	456	2	2	2	X
ejpam-5956	456	3	)	)	PUNCT
ejpam-5956	456	4	pf	pf	NOUN
ejpam-5956	456	5	l	l	NOUN
ejpam-5956	456	6	ℓp	ℓp	ADJ
ejpam-5956	456	7	-continuous	-continuous	ADJ
ejpam-5956	456	8	at	at	ADP
ejpam-5956	456	9	a	a	DET
ejpam-5956	456	10	fuzzy	fuzzy	ADJ
ejpam-5956	456	11	point	point	NOUN
ejpam-5956	456	12	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	456	13	,	,	PUNCT
ejpam-5956	456	14	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	456	15	∈	∈	PROPN
ejpam-5956	456	16	d	d	X
ejpam-5956	456	17	(	(	PUNCT
ejpam-5956	456	18	f	f	X
ejpam-5956	456	19	)	)	PUNCT
ejpam-5956	456	20	iff	iff	PROPN
ejpam-5956	456	21	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	456	22	,	,	PUNCT
ejpam-5956	456	23	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	456	24	∈	∈	PROPN
ejpam-5956	456	25	fl	fl	PROPN
ejpam-5956	456	26	(	(	PUNCT
ejpam-5956	456	27	q	q	NOUN
ejpam-5956	456	28	)	)	PUNCT
ejpam-5956	456	29	for	for	ADP
ejpam-5956	456	30	each	each	DET
ejpam-5956	456	31	q	q	PROPN
ejpam-5956	456	32	∈	∈	PROPN
ejpam-5956	456	33	(	(	PUNCT
ejpam-5956	456	34	i3	i3	NOUN
ejpam-5956	456	35	)	)	PUNCT
ejpam-5956	456	36	υ	υ	PROPN
ejpam-5956	456	37	,	,	PUNCT
ejpam-5956	456	38	σ	σ	PROPN
ejpam-5956	456	39	(	(	PUNCT
ejpam-5956	456	40	q	q	PROPN
ejpam-5956	456	41	)	)	PUNCT
ejpam-5956	456	42	≥	≥	NOUN
ejpam-5956	456	43	⟨ς	⟨ς	NOUN
ejpam-5956	456	44	,	,	PUNCT
ejpam-5956	456	45	κ	κ	NOUN
ejpam-5956	456	46	,	,	PUNCT
ejpam-5956	456	47	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	456	48	there	there	ADV
ejpam-5956	456	49	exists	exist	VERB
ejpam-5956	456	50	k	k	PROPN
ejpam-5956	456	51	∈	∈	PROPN
ejpam-5956	456	52	(	(	PUNCT
ejpam-5956	456	53	i3	i3	NOUN
ejpam-5956	456	54	)	)	PUNCT
ejpam-5956	456	55	ξ	ξ	PROPN
ejpam-5956	456	56	,	,	PUNCT
ejpam-5956	456	57	τ(k	τ(k	PROPN
ejpam-5956	456	58	)	)	PUNCT
ejpam-5956	456	59	≥	≥	NUM
ejpam-5956	456	60	⟨ς	⟨ς	NOUN
ejpam-5956	456	61	,	,	PUNCT
ejpam-5956	456	62	κ	κ	NOUN
ejpam-5956	456	63	,	,	PUNCT
ejpam-5956	456	64	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	456	65	and	and	CCONJ
ejpam-5956	456	66	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	456	67	,	,	PUNCT
ejpam-5956	456	68	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	456	69	∈	∈	PROPN
ejpam-5956	456	70	k	k	PRON
ejpam-5956	456	71	such	such	ADJ
ejpam-5956	456	72	that	that	SCONJ
ejpam-5956	456	73	k	k	PROPN
ejpam-5956	456	74	⊆	⊆	NUM
ejpam-5956	456	75	φ(fl	φ(fl	PROPN
ejpam-5956	456	76	(	(	PUNCT
ejpam-5956	456	77	q	q	NOUN
ejpam-5956	456	78	)	)	PUNCT
ejpam-5956	456	79	,	,	PUNCT
ejpam-5956	456	80	⟨ς	⟨ς	NOUN
ejpam-5956	456	81	,	,	PUNCT
ejpam-5956	456	82	κ	κ	NOUN
ejpam-5956	456	83	,	,	PUNCT
ejpam-5956	456	84	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	456	85	)	)	PUNCT
ejpam-5956	456	86	.	.	PUNCT
ejpam-5956	457	1	(	(	PUNCT
ejpam-5956	457	2	3	3	X
ejpam-5956	457	3	)	)	PUNCT
ejpam-5956	457	4	pf	pf	PROPN
ejpam-5956	457	5	ua	ua	NOUN
ejpam-5956	457	6	ℓp	ℓp	ADJ
ejpam-5956	457	7	-continuous	-continuous	ADJ
ejpam-5956	457	8	at	at	ADP
ejpam-5956	457	9	a	a	DET
ejpam-5956	457	10	fuzzy	fuzzy	ADJ
ejpam-5956	457	11	point	point	NOUN
ejpam-5956	457	12	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	457	13	,	,	PUNCT
ejpam-5956	457	14	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	457	15	∈	∈	PROPN
ejpam-5956	457	16	d	d	X
ejpam-5956	457	17	(	(	PUNCT
ejpam-5956	457	18	f	f	X
ejpam-5956	457	19	)	)	PUNCT
ejpam-5956	457	20	iff	iff	PROPN
ejpam-5956	457	21	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	457	22	,	,	PUNCT
ejpam-5956	457	23	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	457	24	∈	∈	PROPN
ejpam-5956	457	25	fu	fu	NOUN
ejpam-5956	457	26	(	(	PUNCT
ejpam-5956	457	27	q	q	NOUN
ejpam-5956	457	28	)	)	PUNCT
ejpam-5956	457	29	for	for	ADP
ejpam-5956	457	30	each	each	DET
ejpam-5956	457	31	q∈	q∈	PROPN
ejpam-5956	457	32	(	(	PUNCT
ejpam-5956	457	33	i3	i3	NOUN
ejpam-5956	457	34	)	)	PUNCT
ejpam-5956	457	35	υ	υ	NOUN
ejpam-5956	457	36	,	,	PUNCT
ejpam-5956	457	37	σ(q	σ(q	PROPN
ejpam-5956	457	38	)	)	PUNCT
ejpam-5956	458	1	≥	≥	NOUN
ejpam-5956	458	2	⟨ς	⟨ς	NOUN
ejpam-5956	458	3	,	,	PUNCT
ejpam-5956	458	4	κ	κ	NOUN
ejpam-5956	458	5	,	,	PUNCT
ejpam-5956	458	6	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	458	7	there	there	ADV
ejpam-5956	458	8	exists	exist	VERB
ejpam-5956	458	9	k	k	PROPN
ejpam-5956	458	10	∈	∈	PROPN
ejpam-5956	458	11	(	(	PUNCT
ejpam-5956	458	12	i3	i3	NOUN
ejpam-5956	458	13	)	)	PUNCT
ejpam-5956	458	14	ξ	ξ	PROPN
ejpam-5956	458	15	,	,	PUNCT
ejpam-5956	458	16	τ(k	τ(k	PROPN
ejpam-5956	458	17	)	)	PUNCT
ejpam-5956	458	18	≥	≥	NUM
ejpam-5956	458	19	⟨ς	⟨ς	NOUN
ejpam-5956	458	20	,	,	PUNCT
ejpam-5956	458	21	κ	κ	NOUN
ejpam-5956	458	22	,	,	PUNCT
ejpam-5956	458	23	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	458	24	and	and	CCONJ
ejpam-5956	458	25	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	458	26	,	,	PUNCT
ejpam-5956	458	27	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	458	28	∈	∈	PROPN
ejpam-5956	458	29	k	k	PRON
ejpam-5956	458	30	such	such	ADJ
ejpam-5956	458	31	that	that	SCONJ
ejpam-5956	458	32	k	k	PRON
ejpam-5956	458	33	∩d	∩d	X
ejpam-5956	458	34	(	(	PUNCT
ejpam-5956	458	35	f	f	X
ejpam-5956	458	36	)	)	PUNCT
ejpam-5956	458	37	⊆	⊆	NUM
ejpam-5956	458	38	fu(intσ(cl	fu(intσ(cl	NOUN
ejpam-5956	458	39	∗	∗	NOUN
ejpam-5956	458	40	(	(	PUNCT
ejpam-5956	458	41	q	q	NOUN
ejpam-5956	458	42	,	,	PUNCT
ejpam-5956	458	43	⟨ς	⟨ς	NOUN
ejpam-5956	458	44	,	,	PUNCT
ejpam-5956	458	45	κ	κ	NOUN
ejpam-5956	458	46	,	,	PUNCT
ejpam-5956	458	47	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	458	48	,	,	PUNCT
ejpam-5956	458	49	⟨ς	⟨ς	NOUN
ejpam-5956	458	50	,	,	PUNCT
ejpam-5956	458	51	κ	κ	NOUN
ejpam-5956	458	52	,	,	PUNCT
ejpam-5956	458	53	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	458	54	)	)	PUNCT
ejpam-5956	458	55	)	)	PUNCT
ejpam-5956	458	56	.	.	PUNCT
ejpam-5956	459	1	(	(	PUNCT
ejpam-5956	459	2	4	4	X
ejpam-5956	459	3	)	)	PUNCT
ejpam-5956	459	4	pf	pf	NOUN
ejpam-5956	459	5	la	la	ADV
ejpam-5956	459	6	ℓp	ℓp	ADJ
ejpam-5956	459	7	-continuous	-continuous	ADJ
ejpam-5956	459	8	at	at	ADP
ejpam-5956	459	9	a	a	DET
ejpam-5956	459	10	fuzzy	fuzzy	ADJ
ejpam-5956	459	11	point	point	NOUN
ejpam-5956	459	12	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	459	13	,	,	PUNCT
ejpam-5956	459	14	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	459	15	∈	∈	PROPN
ejpam-5956	459	16	d	d	X
ejpam-5956	459	17	(	(	PUNCT
ejpam-5956	459	18	f	f	X
ejpam-5956	459	19	)	)	PUNCT
ejpam-5956	459	20	iff	iff	PROPN
ejpam-5956	459	21	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	459	22	,	,	PUNCT
ejpam-5956	459	23	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	459	24	∈	∈	PROPN
ejpam-5956	459	25	fl	fl	PROPN
ejpam-5956	459	26	(	(	PUNCT
ejpam-5956	459	27	q	q	NOUN
ejpam-5956	459	28	)	)	PUNCT
ejpam-5956	459	29	for	for	ADP
ejpam-5956	459	30	each	each	DET
ejpam-5956	459	31	q	q	PROPN
ejpam-5956	459	32	∈	∈	PROPN
ejpam-5956	459	33	(	(	PUNCT
ejpam-5956	459	34	i3	i3	NOUN
ejpam-5956	459	35	)	)	PUNCT
ejpam-5956	459	36	υ	υ	NOUN
ejpam-5956	459	37	,	,	PUNCT
ejpam-5956	459	38	σ(q	σ(q	PROPN
ejpam-5956	459	39	)	)	PUNCT
ejpam-5956	459	40	≥	≥	NOUN
ejpam-5956	459	41	⟨ς	⟨ς	NOUN
ejpam-5956	459	42	,	,	PUNCT
ejpam-5956	459	43	κ	κ	NOUN
ejpam-5956	459	44	,	,	PUNCT
ejpam-5956	459	45	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	459	46	there	there	ADV
ejpam-5956	459	47	exists	exist	VERB
ejpam-5956	459	48	k	k	PROPN
ejpam-5956	459	49	∈	∈	PROPN
ejpam-5956	459	50	(	(	PUNCT
ejpam-5956	459	51	i3	i3	NOUN
ejpam-5956	459	52	)	)	PUNCT
ejpam-5956	459	53	ξ	ξ	PROPN
ejpam-5956	459	54	,	,	PUNCT
ejpam-5956	459	55	τ(k	τ(k	PROPN
ejpam-5956	459	56	)	)	PUNCT
ejpam-5956	459	57	≥	≥	NUM
ejpam-5956	459	58	⟨ς	⟨ς	NOUN
ejpam-5956	459	59	,	,	PUNCT
ejpam-5956	459	60	κ	κ	NOUN
ejpam-5956	459	61	,	,	PUNCT
ejpam-5956	459	62	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	459	63	and	and	CCONJ
ejpam-5956	459	64	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	459	65	,	,	PUNCT
ejpam-5956	459	66	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	459	67	∈	∈	PROPN
ejpam-5956	459	68	k	k	PRON
ejpam-5956	459	69	such	such	ADJ
ejpam-5956	459	70	that	that	SCONJ
ejpam-5956	459	71	k	k	PROPN
ejpam-5956	459	72	⊆	⊆	NUM
ejpam-5956	459	73	fl(intσ(cl	fl(intσ(cl	NOUN
ejpam-5956	459	74	∗	∗	NOUN
ejpam-5956	459	75	(	(	PUNCT
ejpam-5956	459	76	q	q	NOUN
ejpam-5956	459	77	,	,	PUNCT
ejpam-5956	459	78	⟨ς	⟨ς	NOUN
ejpam-5956	459	79	,	,	PUNCT
ejpam-5956	459	80	κ	κ	NOUN
ejpam-5956	459	81	,	,	PUNCT
ejpam-5956	459	82	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	459	83	)	)	PUNCT
ejpam-5956	459	84	,	,	PUNCT
ejpam-5956	459	85	⟨ς	⟨ς	X
ejpam-5956	459	86	,	,	PUNCT
ejpam-5956	459	87	κ	κ	NOUN
ejpam-5956	459	88	,	,	PUNCT
ejpam-5956	459	89	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	459	90	)	)	PUNCT
ejpam-5956	459	91	)	)	PUNCT
ejpam-5956	459	92	.	.	PUNCT
ejpam-5956	460	1	(	(	PUNCT
ejpam-5956	460	2	5	5	X
ejpam-5956	460	3	)	)	PUNCT
ejpam-5956	460	4	pf	pf	NOUN
ejpam-5956	460	5	u	u	NOUN
ejpam-5956	460	6	ℓp	ℓp	ADJ
ejpam-5956	460	7	-continuous	-continuous	ADJ
ejpam-5956	460	8	(	(	PUNCT
ejpam-5956	460	9	resp	resp	NOUN
ejpam-5956	460	10	.	.	PUNCT
ejpam-5956	461	1	pf	pf	NOUN
ejpam-5956	461	2	l	l	NOUN
ejpam-5956	461	3	ℓp	ℓp	ADJ
ejpam-5956	461	4	-continuous	-continuous	ADJ
ejpam-5956	461	5	)	)	PUNCT
ejpam-5956	461	6	iff	iff	NOUN
ejpam-5956	461	7	it	it	PRON
ejpam-5956	461	8	is	be	AUX
ejpam-5956	461	9	pf	pf	PROPN
ejpam-5956	461	10	u	u	NOUN
ejpam-5956	461	11	ℓp	ℓp	ADJ
ejpam-5956	461	12	-continuous	-continuous	ADJ
ejpam-5956	461	13	(	(	PUNCT
ejpam-5956	461	14	resp	resp	NOUN
ejpam-5956	461	15	.	.	PUNCT
ejpam-5956	462	1	pf	pf	NOUN
ejpam-5956	462	2	l	l	NOUN
ejpam-5956	462	3	ℓp	ℓp	ADJ
ejpam-5956	462	4	-continuous	-continuous	ADJ
ejpam-5956	462	5	)	)	PUNCT
ejpam-5956	462	6	at	at	ADP
ejpam-5956	462	7	every	every	DET
ejpam-5956	462	8	fuzzy	fuzzy	ADJ
ejpam-5956	462	9	point	point	NOUN
ejpam-5956	462	10	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	462	11	,	,	PUNCT
ejpam-5956	462	12	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	462	13	∈	∈	PROPN
ejpam-5956	463	1	d	d	X
ejpam-5956	463	2	(	(	PUNCT
ejpam-5956	463	3	f	f	NOUN
ejpam-5956	463	4	)	)	PUNCT
ejpam-5956	463	5	.	.	PUNCT
ejpam-5956	464	1	(	(	PUNCT
ejpam-5956	464	2	6	6	NUM
ejpam-5956	464	3	)	)	PUNCT
ejpam-5956	464	4	pf	pf	PROPN
ejpam-5956	464	5	ua	ua	NOUN
ejpam-5956	464	6	ℓp	ℓp	PROPN
ejpam-5956	464	7	-continuous	-continuous	ADJ
ejpam-5956	464	8	(	(	PUNCT
ejpam-5956	464	9	resp	resp	NOUN
ejpam-5956	464	10	.	.	PUNCT
ejpam-5956	465	1	pf	pf	PROPN
ejpam-5956	465	2	la	la	PRON
ejpam-5956	465	3	ℓp	ℓp	ADJ
ejpam-5956	465	4	-continuous	-continuous	ADJ
ejpam-5956	465	5	)	)	PUNCT
ejpam-5956	465	6	iff	iff	NOUN
ejpam-5956	465	7	it	it	PRON
ejpam-5956	465	8	is	be	AUX
ejpam-5956	465	9	pf	pf	PROPN
ejpam-5956	465	10	ua	ua	PROPN
ejpam-5956	465	11	ℓp	ℓp	ADJ
ejpam-5956	465	12	-continuous	-continuous	ADJ
ejpam-5956	465	13	(	(	PUNCT
ejpam-5956	465	14	resp	resp	NOUN
ejpam-5956	465	15	.	.	PUNCT
ejpam-5956	466	1	pf	pf	PROPN
ejpam-5956	466	2	la	la	ADV
ejpam-5956	466	3	ℓp	ℓp	ADJ
ejpam-5956	466	4	-continuous	-continuous	ADJ
ejpam-5956	466	5	)	)	PUNCT
ejpam-5956	466	6	at	at	ADP
ejpam-5956	466	7	every	every	DET
ejpam-5956	466	8	fuzzy	fuzzy	ADJ
ejpam-5956	466	9	point	point	NOUN
ejpam-5956	466	10	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	466	11	,	,	PUNCT
ejpam-5956	466	12	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	466	13	∈	∈	PROPN
ejpam-5956	467	1	d	d	X
ejpam-5956	467	2	(	(	PUNCT
ejpam-5956	467	3	f	f	NOUN
ejpam-5956	467	4	)	)	PUNCT
ejpam-5956	467	5	.	.	PUNCT
ejpam-5956	468	1	remark	remark	PROPN
ejpam-5956	468	2	3.2	3.2	NUM
ejpam-5956	468	3	.	.	PUNCT
ejpam-5956	469	1	(	(	PUNCT
ejpam-5956	469	2	1	1	X
ejpam-5956	469	3	)	)	PUNCT
ejpam-5956	469	4	if	if	SCONJ
ejpam-5956	469	5	f	f	PROPN
ejpam-5956	469	6	is	be	AUX
ejpam-5956	469	7	normalized	normalize	VERB
ejpam-5956	469	8	pfm	pfm	NOUN
ejpam-5956	469	9	,	,	PUNCT
ejpam-5956	469	10	then	then	ADV
ejpam-5956	469	11	f	f	PROPN
ejpam-5956	469	12	ispf	ispf	VERB
ejpam-5956	469	13	u	u	NOUN
ejpam-5956	469	14	ℓp	ℓp	ADJ
ejpam-5956	469	15	-continuous	-continuous	ADJ
ejpam-5956	469	16	at	at	ADP
ejpam-5956	469	17	a	a	DET
ejpam-5956	469	18	fuzzy	fuzzy	ADJ
ejpam-5956	469	19	point	point	NOUN
ejpam-5956	469	20	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	469	21	,	,	PUNCT
ejpam-5956	469	22	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	469	23	∈	∈	PROPN
ejpam-5956	469	24	d	d	X
ejpam-5956	469	25	(	(	PUNCT
ejpam-5956	469	26	f	f	X
ejpam-5956	469	27	)	)	PUNCT
ejpam-5956	469	28	iff	iff	PROPN
ejpam-5956	469	29	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	469	30	,	,	PUNCT
ejpam-5956	469	31	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	469	32	∈	∈	PROPN
ejpam-5956	469	33	fu	fu	NOUN
ejpam-5956	469	34	(	(	PUNCT
ejpam-5956	469	35	q	q	NOUN
ejpam-5956	469	36	)	)	PUNCT
ejpam-5956	469	37	for	for	ADP
ejpam-5956	469	38	each	each	DET
ejpam-5956	469	39	q	q	PROPN
ejpam-5956	469	40	∈	∈	PROPN
ejpam-5956	469	41	(	(	PUNCT
ejpam-5956	469	42	i3	i3	NOUN
ejpam-5956	469	43	)	)	PUNCT
ejpam-5956	469	44	υ	υ	PROPN
ejpam-5956	469	45	,	,	PUNCT
ejpam-5956	469	46	σ	σ	PROPN
ejpam-5956	469	47	(	(	PUNCT
ejpam-5956	469	48	q	q	PROPN
ejpam-5956	469	49	)	)	PUNCT
ejpam-5956	469	50	≥	≥	NOUN
ejpam-5956	469	51	⟨ς	⟨ς	NOUN
ejpam-5956	469	52	,	,	PUNCT
ejpam-5956	469	53	κ	κ	NOUN
ejpam-5956	469	54	,	,	PUNCT
ejpam-5956	469	55	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	469	56	there	there	ADV
ejpam-5956	469	57	exists	exist	VERB
ejpam-5956	469	58	k	k	PROPN
ejpam-5956	469	59	∈	∈	PROPN
ejpam-5956	469	60	(	(	PUNCT
ejpam-5956	469	61	i3	i3	NOUN
ejpam-5956	469	62	)	)	PUNCT
ejpam-5956	469	63	ξ	ξ	PROPN
ejpam-5956	469	64	,	,	PUNCT
ejpam-5956	469	65	τ(k	τ(k	PROPN
ejpam-5956	469	66	)	)	PUNCT
ejpam-5956	469	67	≥	≥	NUM
ejpam-5956	469	68	⟨ς	⟨ς	NOUN
ejpam-5956	469	69	,	,	PUNCT
ejpam-5956	469	70	κ	κ	NOUN
ejpam-5956	469	71	,	,	PUNCT
ejpam-5956	469	72	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	469	73	and	and	CCONJ
ejpam-5956	469	74	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	469	75	,	,	PUNCT
ejpam-5956	469	76	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	469	77	∈	∈	PROPN
ejpam-5956	469	78	k	k	PRON
ejpam-5956	469	79	such	such	ADJ
ejpam-5956	469	80	that	that	SCONJ
ejpam-5956	469	81	k	k	PROPN
ejpam-5956	469	82	⊆	⊆	NUM
ejpam-5956	469	83	φ(fu	φ(fu	PROPN
ejpam-5956	469	84	(	(	PUNCT
ejpam-5956	469	85	q	q	NOUN
ejpam-5956	469	86	)	)	PUNCT
ejpam-5956	469	87	,	,	PUNCT
ejpam-5956	469	88	⟨ς	⟨ς	NOUN
ejpam-5956	469	89	,	,	PUNCT
ejpam-5956	469	90	κ	κ	NOUN
ejpam-5956	469	91	,	,	PUNCT
ejpam-5956	469	92	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	469	93	)	)	PUNCT
ejpam-5956	469	94	.	.	PUNCT
ejpam-5956	470	1	(	(	PUNCT
ejpam-5956	470	2	2	2	X
ejpam-5956	470	3	)	)	PUNCT
ejpam-5956	470	4	if	if	SCONJ
ejpam-5956	470	5	f	f	PROPN
ejpam-5956	470	6	is	be	AUX
ejpam-5956	470	7	normalized	normalize	VERB
ejpam-5956	470	8	pfm	pfm	NOUN
ejpam-5956	470	9	,	,	PUNCT
ejpam-5956	470	10	then	then	ADV
ejpam-5956	470	11	f	f	PROPN
ejpam-5956	470	12	is	be	AUX
ejpam-5956	470	13	pf	pf	PROPN
ejpam-5956	470	14	ua	ua	PROPN
ejpam-5956	470	15	ℓp	ℓp	ADJ
ejpam-5956	470	16	-continuous	-continuous	ADJ
ejpam-5956	470	17	at	at	ADP
ejpam-5956	470	18	a	a	DET
ejpam-5956	470	19	fuzzy	fuzzy	ADJ
ejpam-5956	470	20	point	point	NOUN
ejpam-5956	470	21	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	470	22	,	,	PUNCT
ejpam-5956	470	23	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	470	24	∈	∈	PROPN
ejpam-5956	470	25	d	d	X
ejpam-5956	470	26	(	(	PUNCT
ejpam-5956	470	27	f	f	X
ejpam-5956	470	28	)	)	PUNCT
ejpam-5956	470	29	iff	iff	PROPN
ejpam-5956	470	30	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	470	31	,	,	PUNCT
ejpam-5956	470	32	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	470	33	∈	∈	PROPN
ejpam-5956	470	34	fu	fu	NOUN
ejpam-5956	470	35	(	(	PUNCT
ejpam-5956	470	36	q	q	NOUN
ejpam-5956	470	37	)	)	PUNCT
ejpam-5956	470	38	for	for	ADP
ejpam-5956	470	39	each	each	DET
ejpam-5956	470	40	q	q	PROPN
ejpam-5956	470	41	∈	∈	PROPN
ejpam-5956	470	42	(	(	PUNCT
ejpam-5956	470	43	i3	i3	NOUN
ejpam-5956	470	44	)	)	PUNCT
ejpam-5956	470	45	υ	υ	PROPN
ejpam-5956	470	46	,	,	PUNCT
ejpam-5956	470	47	σ	σ	PROPN
ejpam-5956	470	48	(	(	PUNCT
ejpam-5956	470	49	q	q	PROPN
ejpam-5956	470	50	)	)	PUNCT
ejpam-5956	470	51	≥	≥	NOUN
ejpam-5956	470	52	⟨ς	⟨ς	NOUN
ejpam-5956	470	53	,	,	PUNCT
ejpam-5956	470	54	κ	κ	NOUN
ejpam-5956	470	55	,	,	PUNCT
ejpam-5956	470	56	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	470	57	there	there	ADV
ejpam-5956	470	58	exists	exist	VERB
ejpam-5956	470	59	k	k	PROPN
ejpam-5956	470	60	∈	∈	PROPN
ejpam-5956	470	61	(	(	PUNCT
ejpam-5956	470	62	i3	i3	NOUN
ejpam-5956	470	63	)	)	PUNCT
ejpam-5956	470	64	ξ	ξ	PROPN
ejpam-5956	470	65	,	,	PUNCT
ejpam-5956	470	66	τ(k	τ(k	PROPN
ejpam-5956	470	67	)	)	PUNCT
ejpam-5956	470	68	≥	≥	NUM
ejpam-5956	470	69	⟨ς	⟨ς	NOUN
ejpam-5956	470	70	,	,	PUNCT
ejpam-5956	470	71	κ	κ	NOUN
ejpam-5956	470	72	,	,	PUNCT
ejpam-5956	470	73	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	470	74	and	and	CCONJ
ejpam-5956	470	75	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	470	76	,	,	PUNCT
ejpam-5956	470	77	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	470	78	∈	∈	PROPN
ejpam-5956	470	79	k	k	PRON
ejpam-5956	470	80	such	such	ADJ
ejpam-5956	470	81	that	that	SCONJ
ejpam-5956	470	82	k	k	PROPN
ejpam-5956	470	83	⊆	⊆	NUM
ejpam-5956	470	84	fu(intσ(cl	fu(intσ(cl	NOUN
ejpam-5956	470	85	∗	∗	NOUN
ejpam-5956	470	86	(	(	PUNCT
ejpam-5956	470	87	q	q	NOUN
ejpam-5956	470	88	,	,	PUNCT
ejpam-5956	470	89	⟨ς	⟨ς	NOUN
ejpam-5956	470	90	,	,	PUNCT
ejpam-5956	470	91	κ	κ	NOUN
ejpam-5956	470	92	,	,	PUNCT
ejpam-5956	470	93	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	470	94	)	)	PUNCT
ejpam-5956	470	95	,	,	PUNCT
ejpam-5956	470	96	⟨ς	⟨ς	X
ejpam-5956	470	97	,	,	PUNCT
ejpam-5956	470	98	κ	κ	NOUN
ejpam-5956	470	99	,	,	PUNCT
ejpam-5956	470	100	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	470	101	)	)	PUNCT
ejpam-5956	470	102	)	)	PUNCT
ejpam-5956	470	103	.	.	PUNCT
ejpam-5956	471	1	(	(	PUNCT
ejpam-5956	471	2	3	3	X
ejpam-5956	471	3	)	)	PUNCT
ejpam-5956	471	4	pf	pf	NOUN
ejpam-5956	471	5	u	u	NOUN
ejpam-5956	471	6	(	(	PUNCT
ejpam-5956	471	7	resp	resp	NOUN
ejpam-5956	471	8	.	.	PUNCT
ejpam-5956	472	1	pf	pf	PROPN
ejpam-5956	472	2	l	l	NOUN
ejpam-5956	472	3	)	)	PUNCT
ejpam-5956	472	4	ℓp	ℓp	ADJ
ejpam-5956	472	5	-continuity	-continuity	PROPN
ejpam-5956	472	6	and	and	CCONJ
ejpam-5956	472	7	pf	pf	NOUN
ejpam-5956	472	8	u	u	PROPN
ejpam-5956	472	9	(	(	PUNCT
ejpam-5956	472	10	resp	resp	NOUN
ejpam-5956	472	11	.	.	PUNCT
ejpam-5956	473	1	pf	pf	PROPN
ejpam-5956	473	2	ls)-continuity	ls)-continuity	PROPN
ejpam-5956	473	3	are	be	AUX
ejpam-5956	473	4	independent	independent	ADJ
ejpam-5956	473	5	notions	notion	NOUN
ejpam-5956	473	6	as	as	SCONJ
ejpam-5956	473	7	it	it	PRON
ejpam-5956	473	8	will	will	AUX
ejpam-5956	473	9	be	be	AUX
ejpam-5956	473	10	shown	show	VERB
ejpam-5956	473	11	in	in	ADP
ejpam-5956	473	12	example	example	NOUN
ejpam-5956	473	13	3.2	3.2	NUM
ejpam-5956	473	14	.	.	PUNCT
ejpam-5956	474	1	(	(	PUNCT
ejpam-5956	474	2	4	4	X
ejpam-5956	474	3	)	)	PUNCT
ejpam-5956	474	4	pf	pf	ADP
ejpam-5956	474	5	us	we	PRON
ejpam-5956	474	6	(	(	PUNCT
ejpam-5956	474	7	resp	resp	NOUN
ejpam-5956	474	8	.	.	PUNCT
ejpam-5956	475	1	pf	pf	PROPN
ejpam-5956	475	2	ls)-continuity	ls)-continuity	PROPN
ejpam-5956	475	3	⇒	⇒	PROPN
ejpam-5956	475	4	pf	pf	PROPN
ejpam-5956	475	5	ua	ua	PROPN
ejpam-5956	475	6	(	(	PUNCT
ejpam-5956	475	7	resp	resp	PROPN
ejpam-5956	475	8	.	.	PUNCT
ejpam-5956	476	1	pf	pf	PROPN
ejpam-5956	476	2	la	la	PROPN
ejpam-5956	476	3	)	)	PUNCT
ejpam-5956	476	4	ℓp	ℓp	ADJ
ejpam-5956	476	5	-continuity	-continuity	PROPN
ejpam-5956	476	6	⇒	⇒	NOUN
ejpam-5956	476	7	pf	pf	PROPN
ejpam-5956	476	8	ua	ua	PROPN
ejpam-5956	476	9	(	(	PUNCT
ejpam-5956	476	10	resp	resp	PROPN
ejpam-5956	476	11	.	.	PUNCT
ejpam-5956	477	1	pf	pf	PROPN
ejpam-5956	477	2	la	la	ADJ
ejpam-5956	477	3	)	)	PUNCT
ejpam-5956	477	4	-continuity	-continuity	PROPN
ejpam-5956	477	5	.	.	PUNCT
ejpam-5956	478	1	(	(	PUNCT
ejpam-5956	478	2	5	5	NUM
ejpam-5956	478	3	)	)	PUNCT
ejpam-5956	478	4	pf	pf	PROPN
ejpam-5956	478	5	ua	ua	PROPN
ejpam-5956	478	6	(	(	PUNCT
ejpam-5956	478	7	resp	resp	PROPN
ejpam-5956	478	8	.	.	PUNCT
ejpam-5956	479	1	pf	pf	PROPN
ejpam-5956	479	2	la	la	NOUN
ejpam-5956	479	3	)	)	PUNCT
ejpam-5956	480	1	ℓp0	ℓp0	NOUN
ejpam-5956	480	2	-	-	PUNCT
ejpam-5956	480	3	continuity	continuity	NOUN
ejpam-5956	480	4	⇔	⇔	PROPN
ejpam-5956	480	5	pf	pf	PROPN
ejpam-5956	480	6	ua	ua	PROPN
ejpam-5956	480	7	(	(	PUNCT
ejpam-5956	480	8	resp	resp	PROPN
ejpam-5956	480	9	.	.	PUNCT
ejpam-5956	481	1	pf	pf	PROPN
ejpam-5956	481	2	la	la	ADJ
ejpam-5956	481	3	)	)	PUNCT
ejpam-5956	481	4	-continuity	-continuity	PROPN
ejpam-5956	481	5	.	.	PUNCT
ejpam-5956	481	6	theorem	theorem	VERB
ejpam-5956	481	7	3.4	3.4	NUM
ejpam-5956	481	8	.	.	PUNCT
ejpam-5956	482	1	let	let	VERB
ejpam-5956	482	2	f	f	NOUN
ejpam-5956	482	3	:	:	PUNCT
ejpam-5956	482	4	(	(	PUNCT
ejpam-5956	482	5	ξ	ξ	X
ejpam-5956	482	6	,	,	PUNCT
ejpam-5956	482	7	τ	τ	X
ejpam-5956	482	8	,	,	PUNCT
ejpam-5956	482	9	ℓp	ℓp	ADJ
ejpam-5956	482	10	)	)	PUNCT
ejpam-5956	482	11	↬	↬	PROPN
ejpam-5956	482	12	(	(	PUNCT
ejpam-5956	482	13	υ	υ	PROPN
ejpam-5956	482	14	,	,	PUNCT
ejpam-5956	482	15	σ	σ	PROPN
ejpam-5956	482	16	)	)	PUNCT
ejpam-5956	482	17	be	be	VERB
ejpam-5956	482	18	a	a	DET
ejpam-5956	482	19	pfm	pfm	NOUN
ejpam-5956	482	20	(	(	PUNCT
ejpam-5956	482	21	resp	resp	NOUN
ejpam-5956	482	22	.	.	PUNCT
ejpam-5956	483	1	normalized	normalize	VERB
ejpam-5956	483	2	pfm	pfm	NOUN
ejpam-5956	483	3	)	)	PUNCT
ejpam-5956	483	4	,	,	PUNCT
ejpam-5956	483	5	then	then	ADV
ejpam-5956	483	6	f	f	PROPN
ejpam-5956	483	7	is	be	AUX
ejpam-5956	483	8	pf	pf	PROPN
ejpam-5956	483	9	l	l	NOUN
ejpam-5956	483	10	(	(	PUNCT
ejpam-5956	483	11	resp	resp	NOUN
ejpam-5956	483	12	.	.	PUNCT
ejpam-5956	484	1	pf	pf	PROPN
ejpam-5956	484	2	u	u	NOUN
ejpam-5956	484	3	)	)	PUNCT
ejpam-5956	485	1	dali	dali	PROPN
ejpam-5956	485	2	shi	shi	PROPN
ejpam-5956	485	3	et	et	PROPN
ejpam-5956	485	4	al	al	PROPN
ejpam-5956	485	5	.	.	PUNCT
ejpam-5956	485	6	/	/	SYM
ejpam-5956	485	7	eur	eur	PROPN
ejpam-5956	485	8	.	.	PUNCT
ejpam-5956	486	1	j.	j.	PROPN
ejpam-5956	486	2	pure	pure	PROPN
ejpam-5956	486	3	appl	appl	PROPN
ejpam-5956	486	4	.	.	PROPN
ejpam-5956	486	5	math	math	PROPN
ejpam-5956	486	6	,	,	PUNCT
ejpam-5956	486	7	18	18	NUM
ejpam-5956	486	8	(	(	PUNCT
ejpam-5956	486	9	2	2	NUM
ejpam-5956	486	10	)	)	PUNCT
ejpam-5956	486	11	(	(	PUNCT
ejpam-5956	486	12	2025	2025	NUM
ejpam-5956	486	13	)	)	PUNCT
ejpam-5956	486	14	,	,	PUNCT
ejpam-5956	486	15	5956	5956	NUM
ejpam-5956	486	16	16	16	NUM
ejpam-5956	486	17	of	of	ADP
ejpam-5956	486	18	30	30	NUM
ejpam-5956	486	19	ℓp	ℓp	ADJ
ejpam-5956	486	20	-continuous	-continuous	ADJ
ejpam-5956	486	21	iff	iff	PROPN
ejpam-5956	486	22	fl	fl	INTJ
ejpam-5956	486	23	(	(	PUNCT
ejpam-5956	486	24	q	q	X
ejpam-5956	486	25	)	)	PUNCT
ejpam-5956	486	26	⊆	⊆	NUM
ejpam-5956	486	27	intτ	intτ	ADV
ejpam-5956	486	28	(	(	PUNCT
ejpam-5956	486	29	φ(fl	φ(fl	PROPN
ejpam-5956	486	30	(	(	PUNCT
ejpam-5956	486	31	q	q	NOUN
ejpam-5956	486	32	)	)	PUNCT
ejpam-5956	486	33	,	,	PUNCT
ejpam-5956	486	34	⟨ς	⟨ς	NOUN
ejpam-5956	486	35	,	,	PUNCT
ejpam-5956	486	36	κ	κ	NOUN
ejpam-5956	486	37	,	,	PUNCT
ejpam-5956	486	38	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	486	39	)	)	PUNCT
ejpam-5956	486	40	,	,	PUNCT
ejpam-5956	486	41	⟨ς	⟨ς	NOUN
ejpam-5956	486	42	,	,	PUNCT
ejpam-5956	486	43	κ	κ	NOUN
ejpam-5956	486	44	,	,	PUNCT
ejpam-5956	486	45	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	486	46	)	)	PUNCT
ejpam-5956	486	47	(	(	PUNCT
ejpam-5956	486	48	resp	resp	NOUN
ejpam-5956	486	49	.	.	PUNCT
ejpam-5956	487	1	fu	fu	PROPN
ejpam-5956	487	2	(	(	PUNCT
ejpam-5956	487	3	q	q	NOUN
ejpam-5956	487	4	)	)	PUNCT
ejpam-5956	487	5	⊆	⊆	NUM
ejpam-5956	487	6	intτ	intτ	ADV
ejpam-5956	487	7	(	(	PUNCT
ejpam-5956	487	8	φ(fu	φ(fu	PROPN
ejpam-5956	487	9	(	(	PUNCT
ejpam-5956	487	10	q	q	NOUN
ejpam-5956	487	11	)	)	PUNCT
ejpam-5956	487	12	,	,	PUNCT
ejpam-5956	487	13	⟨ς	⟨ς	NOUN
ejpam-5956	487	14	,	,	PUNCT
ejpam-5956	487	15	κ	κ	NOUN
ejpam-5956	487	16	,	,	PUNCT
ejpam-5956	487	17	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	487	18	)	)	PUNCT
ejpam-5956	487	19	,	,	PUNCT
ejpam-5956	487	20	⟨ς	⟨ς	NOUN
ejpam-5956	487	21	,	,	PUNCT
ejpam-5956	487	22	κ	κ	NOUN
ejpam-5956	487	23	,	,	PUNCT
ejpam-5956	487	24	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	487	25	)	)	PUNCT
ejpam-5956	487	26	)	)	PUNCT
ejpam-5956	487	27	for	for	ADP
ejpam-5956	487	28	each	each	DET
ejpam-5956	487	29	q	q	PROPN
ejpam-5956	487	30	∈	∈	PROPN
ejpam-5956	487	31	(	(	PUNCT
ejpam-5956	487	32	i3	i3	NOUN
ejpam-5956	487	33	)	)	PUNCT
ejpam-5956	487	34	υ	υ	PROPN
ejpam-5956	487	35	,	,	PUNCT
ejpam-5956	487	36	σ	σ	PROPN
ejpam-5956	487	37	(	(	PUNCT
ejpam-5956	487	38	q	q	NOUN
ejpam-5956	487	39	)	)	PUNCT
ejpam-5956	487	40	≥	≥	NOUN
ejpam-5956	487	41	⟨ς	⟨ς	NOUN
ejpam-5956	487	42	,	,	PUNCT
ejpam-5956	487	43	κ	κ	NOUN
ejpam-5956	487	44	,	,	PUNCT
ejpam-5956	487	45	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	487	46	,	,	PUNCT
ejpam-5956	487	47	ς	ς	PROPN
ejpam-5956	487	48	∈	∈	PROPN
ejpam-5956	487	49	i0,κ	i0,κ	PROPN
ejpam-5956	487	50	∈	∈	PROPN
ejpam-5956	487	51	i1	i1	PROPN
ejpam-5956	487	52	and	and	CCONJ
ejpam-5956	487	53	ϑ	ϑ	PROPN
ejpam-5956	487	54	∈	∈	PROPN
ejpam-5956	487	55	i1	i1	PROPN
ejpam-5956	487	56	.	.	PUNCT
ejpam-5956	488	1	proof	proof	NOUN
ejpam-5956	488	2	.	.	PUNCT
ejpam-5956	489	1	(	(	PUNCT
ejpam-5956	489	2	⇒	⇒	NOUN
ejpam-5956	489	3	)	)	PUNCT
ejpam-5956	489	4	let	let	VERB
ejpam-5956	489	5	ξ⟨ς	ξ⟨ς	NUM
ejpam-5956	489	6	,	,	PUNCT
ejpam-5956	489	7	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	489	8	∈	∈	PROPN
ejpam-5956	490	1	d	d	X
ejpam-5956	490	2	(	(	PUNCT
ejpam-5956	490	3	f	f	PROPN
ejpam-5956	490	4	)	)	PUNCT
ejpam-5956	490	5	,	,	PUNCT
ejpam-5956	490	6	q	q	PROPN
ejpam-5956	490	7	∈	∈	PROPN
ejpam-5956	490	8	(	(	PUNCT
ejpam-5956	490	9	i3	i3	NOUN
ejpam-5956	490	10	)	)	PUNCT
ejpam-5956	490	11	υ	υ	PROPN
ejpam-5956	490	12	,	,	PUNCT
ejpam-5956	490	13	σ	σ	PROPN
ejpam-5956	490	14	(	(	PUNCT
ejpam-5956	490	15	q	q	NOUN
ejpam-5956	490	16	)	)	PUNCT
ejpam-5956	490	17	≥	≥	NOUN
ejpam-5956	490	18	⟨ς	⟨ς	NOUN
ejpam-5956	490	19	,	,	PUNCT
ejpam-5956	490	20	κ	κ	NOUN
ejpam-5956	490	21	,	,	PUNCT
ejpam-5956	490	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	490	23	and	and	CCONJ
ejpam-5956	490	24	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	490	25	,	,	PUNCT
ejpam-5956	490	26	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	490	27	∈	∈	PROPN
ejpam-5956	490	28	f	f	PROPN
ejpam-5956	490	29	l	l	X
ejpam-5956	490	30	(	(	PUNCT
ejpam-5956	490	31	q	q	NOUN
ejpam-5956	490	32	)	)	PUNCT
ejpam-5956	490	33	.	.	PUNCT
ejpam-5956	491	1	then	then	ADV
ejpam-5956	491	2	,	,	PUNCT
ejpam-5956	491	3	there	there	PRON
ejpam-5956	491	4	exists	exist	VERB
ejpam-5956	491	5	k	k	PROPN
ejpam-5956	491	6	∈	∈	PROPN
ejpam-5956	491	7	(	(	PUNCT
ejpam-5956	491	8	i3	i3	NOUN
ejpam-5956	491	9	)	)	PUNCT
ejpam-5956	491	10	ξ	ξ	PROPN
ejpam-5956	491	11	,	,	PUNCT
ejpam-5956	491	12	τ(k	τ(k	PROPN
ejpam-5956	491	13	)	)	PUNCT
ejpam-5956	491	14	≥	≥	NUM
ejpam-5956	491	15	⟨ς	⟨ς	NOUN
ejpam-5956	491	16	,	,	PUNCT
ejpam-5956	491	17	κ	κ	NOUN
ejpam-5956	491	18	,	,	PUNCT
ejpam-5956	491	19	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	491	20	and	and	CCONJ
ejpam-5956	491	21	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	491	22	,	,	PUNCT
ejpam-5956	491	23	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	491	24	∈	∈	PROPN
ejpam-5956	491	25	k	k	PRON
ejpam-5956	491	26	such	such	ADJ
ejpam-5956	491	27	that	that	SCONJ
ejpam-5956	491	28	k	k	PROPN
ejpam-5956	491	29	⊆	⊆	NUM
ejpam-5956	491	30	φ(f	φ(f	PROPN
ejpam-5956	491	31	l	l	PROPN
ejpam-5956	491	32	(	(	PUNCT
ejpam-5956	491	33	q	q	NOUN
ejpam-5956	491	34	)	)	PUNCT
ejpam-5956	491	35	,	,	PUNCT
ejpam-5956	491	36	⟨ς	⟨ς	NOUN
ejpam-5956	491	37	,	,	PUNCT
ejpam-5956	491	38	κ	κ	NOUN
ejpam-5956	491	39	,	,	PUNCT
ejpam-5956	491	40	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	491	41	)	)	PUNCT
ejpam-5956	491	42	.	.	PUNCT
ejpam-5956	492	1	thus	thus	ADV
ejpam-5956	492	2	,	,	PUNCT
ejpam-5956	492	3	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	492	4	,	,	PUNCT
ejpam-5956	492	5	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	492	6	∈	∈	PROPN
ejpam-5956	492	7	k	k	PROPN
ejpam-5956	492	8	⊆	⊆	NUM
ejpam-5956	492	9	intτ	intτ	ADV
ejpam-5956	492	10	(	(	PUNCT
ejpam-5956	492	11	φ(f	φ(f	PROPN
ejpam-5956	492	12	l	l	PROPN
ejpam-5956	492	13	(	(	PUNCT
ejpam-5956	492	14	q	q	NOUN
ejpam-5956	492	15	)	)	PUNCT
ejpam-5956	492	16	,	,	PUNCT
ejpam-5956	492	17	⟨ς	⟨ς	NOUN
ejpam-5956	492	18	,	,	PUNCT
ejpam-5956	492	19	κ	κ	NOUN
ejpam-5956	492	20	,	,	PUNCT
ejpam-5956	492	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	492	22	)	)	PUNCT
ejpam-5956	492	23	,	,	PUNCT
ejpam-5956	492	24	⟨ς	⟨ς	NOUN
ejpam-5956	492	25	,	,	PUNCT
ejpam-5956	492	26	κ	κ	NOUN
ejpam-5956	492	27	,	,	PUNCT
ejpam-5956	492	28	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	492	29	)	)	PUNCT
ejpam-5956	492	30	and	and	CCONJ
ejpam-5956	492	31	hence	hence	ADV
ejpam-5956	492	32	,	,	PUNCT
ejpam-5956	492	33	f	f	PROPN
ejpam-5956	492	34	l	l	X
ejpam-5956	492	35	(	(	PUNCT
ejpam-5956	492	36	q	q	X
ejpam-5956	492	37	)	)	PUNCT
ejpam-5956	492	38	⊆	⊆	NUM
ejpam-5956	492	39	intτ	intτ	ADV
ejpam-5956	492	40	(	(	PUNCT
ejpam-5956	492	41	φ(f	φ(f	PROPN
ejpam-5956	492	42	l	l	PROPN
ejpam-5956	492	43	(	(	PUNCT
ejpam-5956	492	44	q	q	NOUN
ejpam-5956	492	45	)	)	PUNCT
ejpam-5956	492	46	,	,	PUNCT
ejpam-5956	492	47	⟨ς	⟨ς	NOUN
ejpam-5956	492	48	,	,	PUNCT
ejpam-5956	492	49	κ	κ	NOUN
ejpam-5956	492	50	,	,	PUNCT
ejpam-5956	492	51	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	492	52	)	)	PUNCT
ejpam-5956	492	53	,	,	PUNCT
ejpam-5956	492	54	⟨ς	⟨ς	NOUN
ejpam-5956	492	55	,	,	PUNCT
ejpam-5956	492	56	κ	κ	NOUN
ejpam-5956	492	57	,	,	PUNCT
ejpam-5956	492	58	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	492	59	)	)	PUNCT
ejpam-5956	492	60	.	.	PUNCT
ejpam-5956	493	1	(	(	PUNCT
ejpam-5956	493	2	⇐	⇐	NOUN
ejpam-5956	493	3	)	)	PUNCT
ejpam-5956	493	4	let	let	VERB
ejpam-5956	493	5	ξ⟨ς	ξ⟨ς	NUM
ejpam-5956	493	6	,	,	PUNCT
ejpam-5956	493	7	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	493	8	∈	∈	PROPN
ejpam-5956	494	1	d	d	X
ejpam-5956	494	2	(	(	PUNCT
ejpam-5956	494	3	f	f	PROPN
ejpam-5956	494	4	)	)	PUNCT
ejpam-5956	494	5	,	,	PUNCT
ejpam-5956	494	6	q	q	PROPN
ejpam-5956	494	7	∈	∈	PROPN
ejpam-5956	494	8	(	(	PUNCT
ejpam-5956	494	9	i3	i3	NOUN
ejpam-5956	494	10	)	)	PUNCT
ejpam-5956	494	11	υ	υ	PROPN
ejpam-5956	494	12	,	,	PUNCT
ejpam-5956	494	13	σ	σ	PROPN
ejpam-5956	494	14	(	(	PUNCT
ejpam-5956	494	15	q	q	NOUN
ejpam-5956	494	16	)	)	PUNCT
ejpam-5956	494	17	≥	≥	NOUN
ejpam-5956	494	18	⟨ς	⟨ς	NOUN
ejpam-5956	494	19	,	,	PUNCT
ejpam-5956	494	20	κ	κ	NOUN
ejpam-5956	494	21	,	,	PUNCT
ejpam-5956	494	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	494	23	and	and	CCONJ
ejpam-5956	494	24	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	494	25	,	,	PUNCT
ejpam-5956	494	26	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	494	27	∈	∈	PROPN
ejpam-5956	494	28	f	f	PROPN
ejpam-5956	494	29	l	l	X
ejpam-5956	494	30	(	(	PUNCT
ejpam-5956	494	31	q	q	NOUN
ejpam-5956	494	32	)	)	PUNCT
ejpam-5956	494	33	.	.	PUNCT
ejpam-5956	495	1	then	then	ADV
ejpam-5956	495	2	,	,	PUNCT
ejpam-5956	495	3	f	f	PROPN
ejpam-5956	495	4	l	l	X
ejpam-5956	495	5	(	(	PUNCT
ejpam-5956	495	6	q	q	X
ejpam-5956	495	7	)	)	PUNCT
ejpam-5956	495	8	⊆	⊆	NUM
ejpam-5956	495	9	intτ	intτ	ADV
ejpam-5956	495	10	(	(	PUNCT
ejpam-5956	495	11	φ(f	φ(f	PROPN
ejpam-5956	495	12	l	l	PROPN
ejpam-5956	495	13	(	(	PUNCT
ejpam-5956	495	14	q	q	NOUN
ejpam-5956	495	15	)	)	PUNCT
ejpam-5956	495	16	,	,	PUNCT
ejpam-5956	495	17	⟨ς	⟨ς	NOUN
ejpam-5956	495	18	,	,	PUNCT
ejpam-5956	495	19	κ	κ	NOUN
ejpam-5956	495	20	,	,	PUNCT
ejpam-5956	495	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	495	22	)	)	PUNCT
ejpam-5956	495	23	,	,	PUNCT
ejpam-5956	495	24	⟨ς	⟨ς	NOUN
ejpam-5956	495	25	,	,	PUNCT
ejpam-5956	495	26	κ	κ	NOUN
ejpam-5956	495	27	,	,	PUNCT
ejpam-5956	495	28	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	495	29	)	)	PUNCT
ejpam-5956	495	30	and	and	CCONJ
ejpam-5956	495	31	hence	hence	ADV
ejpam-5956	495	32	,	,	PUNCT
ejpam-5956	495	33	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	495	34	,	,	PUNCT
ejpam-5956	495	35	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	495	36	∈	∈	NOUN
ejpam-5956	495	37	intτ	intτ	NOUN
ejpam-5956	495	38	(	(	PUNCT
ejpam-5956	495	39	φ(f	φ(f	PROPN
ejpam-5956	495	40	l	l	PROPN
ejpam-5956	495	41	(	(	PUNCT
ejpam-5956	495	42	q	q	NOUN
ejpam-5956	495	43	)	)	PUNCT
ejpam-5956	495	44	,	,	PUNCT
ejpam-5956	495	45	⟨ς	⟨ς	NOUN
ejpam-5956	495	46	,	,	PUNCT
ejpam-5956	495	47	κ	κ	NOUN
ejpam-5956	495	48	,	,	PUNCT
ejpam-5956	495	49	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	495	50	)	)	PUNCT
ejpam-5956	495	51	,	,	PUNCT
ejpam-5956	495	52	⟨ς	⟨ς	NOUN
ejpam-5956	495	53	,	,	PUNCT
ejpam-5956	495	54	κ	κ	NOUN
ejpam-5956	495	55	,	,	PUNCT
ejpam-5956	495	56	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	495	57	)	)	PUNCT
ejpam-5956	495	58	⊆	⊆	NUM
ejpam-5956	495	59	φ(f	φ(f	PROPN
ejpam-5956	495	60	l	l	PROPN
ejpam-5956	495	61	(	(	PUNCT
ejpam-5956	495	62	q	q	NOUN
ejpam-5956	495	63	)	)	PUNCT
ejpam-5956	495	64	,	,	PUNCT
ejpam-5956	495	65	⟨ς	⟨ς	NOUN
ejpam-5956	495	66	,	,	PUNCT
ejpam-5956	495	67	κ	κ	NOUN
ejpam-5956	495	68	,	,	PUNCT
ejpam-5956	495	69	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	495	70	)	)	PUNCT
ejpam-5956	495	71	.	.	PUNCT
ejpam-5956	496	1	thus	thus	ADV
ejpam-5956	496	2	,	,	PUNCT
ejpam-5956	496	3	f	f	PROPN
ejpam-5956	496	4	is	be	AUX
ejpam-5956	496	5	pf	pf	PROPN
ejpam-5956	496	6	l	l	NOUN
ejpam-5956	496	7	ℓp	ℓp	ADJ
ejpam-5956	496	8	-continuous	-continuous	ADJ
ejpam-5956	496	9	.	.	PUNCT
ejpam-5956	497	1	other	other	ADJ
ejpam-5956	497	2	case	case	NOUN
ejpam-5956	497	3	is	be	AUX
ejpam-5956	497	4	similarly	similarly	ADV
ejpam-5956	497	5	proved	prove	VERB
ejpam-5956	497	6	.	.	PUNCT
ejpam-5956	498	1	example	example	NOUN
ejpam-5956	498	2	3.2	3.2	NUM
ejpam-5956	498	3	.	.	PUNCT
ejpam-5956	499	1	let	let	VERB
ejpam-5956	499	2	ξ	ξ	X
ejpam-5956	499	3	=	=	SYM
ejpam-5956	499	4	{	{	PUNCT
ejpam-5956	499	5	ξ1	ξ1	NOUN
ejpam-5956	499	6	,	,	PUNCT
ejpam-5956	499	7	ξ2	ξ2	NOUN
ejpam-5956	499	8	}	}	PUNCT
ejpam-5956	499	9	,	,	PUNCT
ejpam-5956	499	10	υ	υ	NOUN
ejpam-5956	499	11	=	=	PRON
ejpam-5956	499	12	{	{	PUNCT
ejpam-5956	499	13	ζ1	ζ1	NOUN
ejpam-5956	499	14	,	,	PUNCT
ejpam-5956	499	15	ζ2	ζ2	NOUN
ejpam-5956	499	16	,	,	PUNCT
ejpam-5956	499	17	ζ3	ζ3	NOUN
ejpam-5956	499	18	}	}	PUNCT
ejpam-5956	499	19	and	and	CCONJ
ejpam-5956	499	20	f	f	NOUN
ejpam-5956	499	21	:	:	PUNCT
ejpam-5956	499	22	ξ	ξ	X
ejpam-5956	499	23	↬	↬	PROPN
ejpam-5956	499	24	υ	υ	PART
ejpam-5956	499	25	be	be	AUX
ejpam-5956	499	26	a	a	DET
ejpam-5956	499	27	pfm	pfm	NOUN
ejpam-5956	499	28	defined	define	VERB
ejpam-5956	499	29	by	by	ADP
ejpam-5956	499	30	ψf(ξ1	ψf(ξ1	NOUN
ejpam-5956	499	31	,	,	PUNCT
ejpam-5956	499	32	ζ1	ζ1	NOUN
ejpam-5956	499	33	)	)	PUNCT
ejpam-5956	500	1	=	=	SYM
ejpam-5956	500	2	⟨0.1	⟨0.1	PROPN
ejpam-5956	500	3	,	,	PUNCT
ejpam-5956	500	4	0.3	0.3	NUM
ejpam-5956	500	5	,	,	PUNCT
ejpam-5956	500	6	0.2⟩	0.2⟩	NUM
ejpam-5956	500	7	,	,	PUNCT
ejpam-5956	500	8	ψf(ξ1	ψf(ξ1	NOUN
ejpam-5956	500	9	,	,	PUNCT
ejpam-5956	500	10	ζ2	ζ2	NOUN
ejpam-5956	500	11	)	)	PUNCT
ejpam-5956	500	12	=	=	SYM
ejpam-5956	501	1	⟨0.2	⟨0.2	PROPN
ejpam-5956	501	2	,	,	PUNCT
ejpam-5956	501	3	0.3	0.3	NUM
ejpam-5956	501	4	,	,	PUNCT
ejpam-5956	501	5	0.4⟩	0.4⟩	NUM
ejpam-5956	501	6	,	,	PUNCT
ejpam-5956	501	7	ψf(ξ1	ψf(ξ1	NOUN
ejpam-5956	501	8	,	,	PUNCT
ejpam-5956	501	9	ζ3	ζ3	NOUN
ejpam-5956	501	10	)	)	PUNCT
ejpam-5956	501	11	=	=	SYM
ejpam-5956	502	1	⟨1	⟨1	PROPN
ejpam-5956	502	2	,	,	PUNCT
ejpam-5956	502	3	0	0	NUM
ejpam-5956	502	4	,	,	PUNCT
ejpam-5956	502	5	0⟩	0⟩	PROPN
ejpam-5956	502	6	,	,	PUNCT
ejpam-5956	502	7	ψf(ξ2	ψf(ξ2	NOUN
ejpam-5956	502	8	,	,	PUNCT
ejpam-5956	502	9	ζ1	ζ1	NOUN
ejpam-5956	502	10	)	)	PUNCT
ejpam-5956	502	11	=	=	SYM
ejpam-5956	502	12	⟨0.4	⟨0.4	PROPN
ejpam-5956	502	13	,	,	PUNCT
ejpam-5956	502	14	0.4	0.4	NUM
ejpam-5956	502	15	,	,	PUNCT
ejpam-5956	502	16	0.1⟩	0.1⟩	NUM
ejpam-5956	502	17	,	,	PUNCT
ejpam-5956	502	18	ψf(ξ2	ψf(ξ2	NOUN
ejpam-5956	502	19	,	,	PUNCT
ejpam-5956	502	20	ζ2	ζ2	NOUN
ejpam-5956	502	21	)	)	PUNCT
ejpam-5956	502	22	=	=	SYM
ejpam-5956	503	1	⟨0.3	⟨0.3	PROPN
ejpam-5956	503	2	,	,	PUNCT
ejpam-5956	503	3	0.33	0.33	NUM
ejpam-5956	503	4	,	,	PUNCT
ejpam-5956	503	5	0.33⟩	0.33⟩	PROPN
ejpam-5956	503	6	,	,	PUNCT
ejpam-5956	503	7	ψf(ξ2	ψf(ξ2	NOUN
ejpam-5956	503	8	,	,	PUNCT
ejpam-5956	503	9	ζ3	ζ3	NOUN
ejpam-5956	503	10	)	)	PUNCT
ejpam-5956	503	11	=	=	SYM
ejpam-5956	504	1	⟨1	⟨1	PROPN
ejpam-5956	504	2	,	,	PUNCT
ejpam-5956	504	3	0	0	NUM
ejpam-5956	504	4	,	,	PUNCT
ejpam-5956	504	5	0⟩.	0⟩.	PROPN
ejpam-5956	504	6	for	for	ADP
ejpam-5956	504	7	k1	k1	PROPN
ejpam-5956	504	8	=	=	SYM
ejpam-5956	504	9	{	{	PUNCT
ejpam-5956	504	10	⟨ξ	⟨ξ	NOUN
ejpam-5956	504	11	,	,	PUNCT
ejpam-5956	504	12	0.33	0.33	NUM
ejpam-5956	504	13	,	,	PUNCT
ejpam-5956	504	14	0.33	0.33	NUM
ejpam-5956	504	15	,	,	PUNCT
ejpam-5956	504	16	0⟩	0⟩	PROPN
ejpam-5956	504	17	|	|	NOUN
ejpam-5956	504	18	ξ	ξ	X
ejpam-5956	504	19	∈	∈	PROPN
ejpam-5956	504	20	ξ	ξ	PROPN
ejpam-5956	504	21	}	}	PUNCT
ejpam-5956	504	22	,	,	PUNCT
ejpam-5956	504	23	k2	k2	NOUN
ejpam-5956	504	24	=	=	SYM
ejpam-5956	504	25	{	{	PUNCT
ejpam-5956	504	26	⟨ξ	⟨ξ	PROPN
ejpam-5956	504	27	,	,	PUNCT
ejpam-5956	504	28	0.4	0.4	NUM
ejpam-5956	504	29	,	,	PUNCT
ejpam-5956	504	30	0.4	0.4	NUM
ejpam-5956	504	31	,	,	PUNCT
ejpam-5956	504	32	0.2⟩	0.2⟩	PUNCT
ejpam-5956	505	1	|	|	NOUN
ejpam-5956	505	2	ξ	ξ	PROPN
ejpam-5956	505	3	∈	∈	PROPN
ejpam-5956	505	4	ξ	ξ	PROPN
ejpam-5956	505	5	}	}	PUNCT
ejpam-5956	505	6	and	and	CCONJ
ejpam-5956	505	7	q1	q1	PROPN
ejpam-5956	505	8	=	=	SYM
ejpam-5956	505	9	{	{	PUNCT
ejpam-5956	505	10	⟨ζ	⟨ζ	NOUN
ejpam-5956	505	11	,	,	PUNCT
ejpam-5956	505	12	0.33	0.33	NUM
ejpam-5956	505	13	,	,	PUNCT
ejpam-5956	505	14	0.33	0.33	NUM
ejpam-5956	505	15	,	,	PUNCT
ejpam-5956	505	16	0.33⟩	0.33⟩	X
ejpam-5956	506	1	|	|	ADV
ejpam-5956	506	2	ζ	ζ	NOUN
ejpam-5956	506	3	∈	∈	ADJ
ejpam-5956	506	4	υ	υ	AUX
ejpam-5956	506	5	}	}	PUNCT
ejpam-5956	506	6	define	define	VERB
ejpam-5956	506	7	picture	picture	NOUN
ejpam-5956	506	8	fuzzy	fuzzy	ADJ
ejpam-5956	506	9	topologies	topology	NOUN
ejpam-5956	506	10	τ1	τ1	NOUN
ejpam-5956	506	11	,	,	PUNCT
ejpam-5956	506	12	τ2	τ2	NOUN
ejpam-5956	506	13	:	:	PUNCT
ejpam-5956	506	14	(	(	PUNCT
ejpam-5956	506	15	i3	i3	NOUN
ejpam-5956	506	16	)	)	PUNCT
ejpam-5956	506	17	ξ	ξ	PROPN
ejpam-5956	506	18	→	→	SYM
ejpam-5956	506	19	i3	i3	NOUN
ejpam-5956	506	20	,	,	PUNCT
ejpam-5956	506	21	σ	σ	PROPN
ejpam-5956	506	22	:	:	PUNCT
ejpam-5956	506	23	(	(	PUNCT
ejpam-5956	506	24	i3	i3	NOUN
ejpam-5956	506	25	)	)	PUNCT
ejpam-5956	506	26	υ	υ	NOUN
ejpam-5956	506	27	→	→	SYM
ejpam-5956	506	28	i3	i3	NOUN
ejpam-5956	506	29	,	,	PUNCT
ejpam-5956	506	30	and	and	CCONJ
ejpam-5956	506	31	define	define	VERB
ejpam-5956	506	32	picture	picture	NOUN
ejpam-5956	506	33	fuzzy	fuzzy	ADJ
ejpam-5956	506	34	ideals	ideal	NOUN
ejpam-5956	506	35	ℓp1	ℓp1	ADJ
ejpam-5956	506	36	,	,	PUNCT
ejpam-5956	506	37	ℓp2	ℓp2	NOUN
ejpam-5956	506	38	:(	:(	SYM
ejpam-5956	506	39	i3	i3	NOUN
ejpam-5956	506	40	)	)	PUNCT
ejpam-5956	506	41	ξ	ξ	PROPN
ejpam-5956	506	42	→	→	SYM
ejpam-5956	506	43	i3	i3	NOUN
ejpam-5956	506	44	as	as	ADP
ejpam-5956	506	45	follow	follow	NOUN
ejpam-5956	506	46	.	.	PUNCT
ejpam-5956	507	1	dali	dali	PROPN
ejpam-5956	507	2	shi	shi	PROPN
ejpam-5956	507	3	et	et	PROPN
ejpam-5956	507	4	al	al	PROPN
ejpam-5956	507	5	.	.	PUNCT
ejpam-5956	507	6	/	/	SYM
ejpam-5956	507	7	eur	eur	PROPN
ejpam-5956	507	8	.	.	PUNCT
ejpam-5956	508	1	j.	j.	PROPN
ejpam-5956	508	2	pure	pure	PROPN
ejpam-5956	508	3	appl	appl	PROPN
ejpam-5956	508	4	.	.	PROPN
ejpam-5956	508	5	math	math	PROPN
ejpam-5956	508	6	,	,	PUNCT
ejpam-5956	508	7	18	18	NUM
ejpam-5956	508	8	(	(	PUNCT
ejpam-5956	508	9	2	2	NUM
ejpam-5956	508	10	)	)	PUNCT
ejpam-5956	508	11	(	(	PUNCT
ejpam-5956	508	12	2025	2025	NUM
ejpam-5956	508	13	)	)	PUNCT
ejpam-5956	508	14	,	,	PUNCT
ejpam-5956	508	15	5956	5956	NUM
ejpam-5956	508	16	17	17	NUM
ejpam-5956	508	17	of	of	ADP
ejpam-5956	508	18	30	30	NUM
ejpam-5956	508	19	τ1(k	τ1(k	NUM
ejpam-5956	508	20	)	)	PUNCT
ejpam-5956	508	21	=	=	SYM
ejpam-5956	508	22			NUM
ejpam-5956	508	23	⟨1	⟨1	PROPN
ejpam-5956	508	24	,	,	PUNCT
ejpam-5956	508	25	0	0	NUM
ejpam-5956	508	26	,	,	PUNCT
ejpam-5956	508	27	0⟩	0⟩	PROPN
ejpam-5956	508	28	if	if	SCONJ
ejpam-5956	508	29	k	k	PROPN
ejpam-5956	508	30	∈	∈	PROPN
ejpam-5956	508	31	{	{	PUNCT
ejpam-5956	508	32	♭	♭	PROPN
ejpam-5956	508	33	,	,	PUNCT
ejpam-5956	508	34	♯	♯	PROPN
ejpam-5956	508	35	}	}	PUNCT
ejpam-5956	508	36	,	,	PUNCT
ejpam-5956	508	37	⟨0.5	⟨0.5	PROPN
ejpam-5956	508	38	,	,	PUNCT
ejpam-5956	508	39	0.33	0.33	NUM
ejpam-5956	508	40	,	,	PUNCT
ejpam-5956	508	41	0.17⟩	0.17⟩	NOUN
ejpam-5956	508	42	if	if	SCONJ
ejpam-5956	508	43	k	k	PROPN
ejpam-5956	508	44	=	=	SYM
ejpam-5956	508	45	k1	k1	PROPN
ejpam-5956	508	46	,	,	PUNCT
ejpam-5956	508	47	⟨0	⟨0	PROPN
ejpam-5956	508	48	,	,	PUNCT
ejpam-5956	508	49	1	1	NUM
ejpam-5956	508	50	,	,	PUNCT
ejpam-5956	508	51	0⟩	0⟩	PROPN
ejpam-5956	508	52	otherwise	otherwise	ADV
ejpam-5956	508	53	,	,	PUNCT
ejpam-5956	508	54	,	,	PUNCT
ejpam-5956	508	55	τ2(k	τ2(k	NOUN
ejpam-5956	508	56	)	)	PUNCT
ejpam-5956	508	57	=	=	SYM
ejpam-5956	508	58			NUM
ejpam-5956	508	59	⟨1	⟨1	PROPN
ejpam-5956	508	60	,	,	PUNCT
ejpam-5956	508	61	0	0	NUM
ejpam-5956	508	62	,	,	PUNCT
ejpam-5956	508	63	0⟩	0⟩	PROPN
ejpam-5956	509	1	if	if	SCONJ
ejpam-5956	509	2	k	k	PROPN
ejpam-5956	509	3	∈	∈	PROPN
ejpam-5956	509	4	{	{	PUNCT
ejpam-5956	509	5	♭	♭	PROPN
ejpam-5956	509	6	,	,	PUNCT
ejpam-5956	509	7	♯	♯	PROPN
ejpam-5956	509	8	}	}	PUNCT
ejpam-5956	509	9	,	,	PUNCT
ejpam-5956	509	10	⟨0.5	⟨0.5	PROPN
ejpam-5956	509	11	,	,	PUNCT
ejpam-5956	509	12	0.33	0.33	NUM
ejpam-5956	509	13	,	,	PUNCT
ejpam-5956	509	14	0.1⟩	0.1⟩	PUNCT
ejpam-5956	510	1	if	if	SCONJ
ejpam-5956	510	2	k	k	PROPN
ejpam-5956	510	3	=	=	SYM
ejpam-5956	510	4	k2	k2	PROPN
ejpam-5956	510	5	,	,	PUNCT
ejpam-5956	510	6	⟨0	⟨0	PROPN
ejpam-5956	510	7	,	,	PUNCT
ejpam-5956	510	8	1	1	NUM
ejpam-5956	510	9	,	,	PUNCT
ejpam-5956	510	10	0⟩	0⟩	PROPN
ejpam-5956	510	11	otherwise	otherwise	ADV
ejpam-5956	510	12	,	,	PUNCT
ejpam-5956	510	13	ℓp1	ℓp1	ADJ
ejpam-5956	510	14	(	(	PUNCT
ejpam-5956	510	15	k	k	NOUN
ejpam-5956	510	16	)	)	PUNCT
ejpam-5956	510	17	=	=	PUNCT
ejpam-5956	510	18			PROPN
ejpam-5956	510	19	⟨1	⟨1	PROPN
ejpam-5956	510	20	,	,	PUNCT
ejpam-5956	510	21	0	0	NUM
ejpam-5956	510	22	,	,	PUNCT
ejpam-5956	510	23	0⟩	0⟩	PROPN
ejpam-5956	510	24	if	if	SCONJ
ejpam-5956	510	25	k	k	PROPN
ejpam-5956	510	26	=	=	SYM
ejpam-5956	510	27	♭	♭	PROPN
ejpam-5956	510	28	,	,	PUNCT
ejpam-5956	510	29	⟨0.4	⟨0.4	PROPN
ejpam-5956	510	30	,	,	PUNCT
ejpam-5956	510	31	0.2	0.2	NUM
ejpam-5956	510	32	,	,	PUNCT
ejpam-5956	510	33	0.4⟩	0.4⟩	PUNCT
ejpam-5956	510	34	if	if	SCONJ
ejpam-5956	510	35	♭	♭	PROPN
ejpam-5956	510	36	⊆	⊆	NUM
ejpam-5956	510	37	k	k	SYM
ejpam-5956	510	38	⊆	⊆	NUM
ejpam-5956	510	39	{	{	PUNCT
ejpam-5956	510	40	⟨ξ	⟨ξ	NOUN
ejpam-5956	510	41	,	,	PUNCT
ejpam-5956	510	42	0.4	0.4	NUM
ejpam-5956	510	43	,	,	PUNCT
ejpam-5956	510	44	0.1	0.1	NUM
ejpam-5956	510	45	,	,	PUNCT
ejpam-5956	510	46	0.5⟩	0.5⟩	NOUN
ejpam-5956	510	47	|ξ	|ξ	VERB
ejpam-5956	510	48	∈	∈	PROPN
ejpam-5956	510	49	ξ	ξ	NOUN
ejpam-5956	510	50	}	}	PUNCT
ejpam-5956	510	51	,	,	PUNCT
ejpam-5956	510	52	⟨0	⟨0	PROPN
ejpam-5956	510	53	,	,	PUNCT
ejpam-5956	510	54	1	1	NUM
ejpam-5956	510	55	,	,	PUNCT
ejpam-5956	510	56	0⟩	0⟩	PROPN
ejpam-5956	510	57	otherwise	otherwise	ADV
ejpam-5956	510	58	,	,	PUNCT
ejpam-5956	510	59	ℓp2	ℓp2	PROPN
ejpam-5956	510	60	(	(	PUNCT
ejpam-5956	510	61	k	k	NOUN
ejpam-5956	510	62	)	)	PUNCT
ejpam-5956	510	63	=	=	PUNCT
ejpam-5956	511	1			PROPN
ejpam-5956	511	2	⟨1	⟨1	PROPN
ejpam-5956	511	3	,	,	PUNCT
ejpam-5956	511	4	0	0	NUM
ejpam-5956	511	5	,	,	PUNCT
ejpam-5956	511	6	0⟩	0⟩	PROPN
ejpam-5956	511	7	if	if	SCONJ
ejpam-5956	511	8	k	k	PROPN
ejpam-5956	511	9	=	=	SYM
ejpam-5956	511	10	♭	♭	PROPN
ejpam-5956	511	11	,	,	PUNCT
ejpam-5956	511	12	⟨0.4	⟨0.4	PROPN
ejpam-5956	511	13	,	,	PUNCT
ejpam-5956	511	14	0.2	0.2	NUM
ejpam-5956	511	15	,	,	PUNCT
ejpam-5956	511	16	0.15⟩	0.15⟩	ADV
ejpam-5956	511	17	if	if	SCONJ
ejpam-5956	511	18	♭	♭	PROPN
ejpam-5956	511	19	⊆	⊆	NUM
ejpam-5956	511	20	k	k	SYM
ejpam-5956	511	21	⊆	⊆	NUM
ejpam-5956	511	22	{	{	PUNCT
ejpam-5956	511	23	⟨ξ	⟨ξ	NOUN
ejpam-5956	511	24	,	,	PUNCT
ejpam-5956	511	25	0.2	0.2	NUM
ejpam-5956	511	26	,	,	PUNCT
ejpam-5956	511	27	0.2	0.2	NUM
ejpam-5956	511	28	,	,	PUNCT
ejpam-5956	511	29	0.6⟩	0.6⟩	NUM
ejpam-5956	511	30	|ξ	|ξ	VERB
ejpam-5956	511	31	∈	∈	PROPN
ejpam-5956	511	32	ξ	ξ	NOUN
ejpam-5956	511	33	}	}	PUNCT
ejpam-5956	511	34	,	,	PUNCT
ejpam-5956	511	35	⟨0	⟨0	PROPN
ejpam-5956	511	36	,	,	PUNCT
ejpam-5956	511	37	1	1	NUM
ejpam-5956	511	38	,	,	PUNCT
ejpam-5956	511	39	0⟩	0⟩	PROPN
ejpam-5956	511	40	otherwise	otherwise	ADV
ejpam-5956	511	41	,	,	PUNCT
ejpam-5956	511	42	σ	σ	PROPN
ejpam-5956	511	43	(	(	PUNCT
ejpam-5956	511	44	q	q	NOUN
ejpam-5956	511	45	)	)	PUNCT
ejpam-5956	511	46	=	=	SYM
ejpam-5956	511	47			NUM
ejpam-5956	511	48	⟨1	⟨1	PROPN
ejpam-5956	511	49	,	,	PUNCT
ejpam-5956	511	50	0	0	NUM
ejpam-5956	511	51	,	,	PUNCT
ejpam-5956	511	52	0⟩	0⟩	PROPN
ejpam-5956	511	53	if	if	SCONJ
ejpam-5956	511	54	q	q	X
ejpam-5956	511	55	∈	∈	PROPN
ejpam-5956	511	56	{	{	PUNCT
ejpam-5956	511	57	♭	♭	PROPN
ejpam-5956	511	58	,	,	PUNCT
ejpam-5956	511	59	♯	♯	PROPN
ejpam-5956	511	60	}	}	PUNCT
ejpam-5956	511	61	,	,	PUNCT
ejpam-5956	511	62	⟨0.33	⟨0.33	PROPN
ejpam-5956	511	63	,	,	PUNCT
ejpam-5956	511	64	0.33	0.33	NUM
ejpam-5956	511	65	,	,	PUNCT
ejpam-5956	511	66	0.33⟩	0.33⟩	X
ejpam-5956	512	1	if	if	SCONJ
ejpam-5956	512	2	q	q	PROPN
ejpam-5956	512	3	=	=	SYM
ejpam-5956	512	4	q1	q1	PROPN
ejpam-5956	512	5	,	,	PUNCT
ejpam-5956	512	6	⟨0	⟨0	PROPN
ejpam-5956	512	7	,	,	PUNCT
ejpam-5956	512	8	1	1	NUM
ejpam-5956	512	9	,	,	PUNCT
ejpam-5956	512	10	0⟩	0⟩	PROPN
ejpam-5956	512	11	otherwise	otherwise	ADV
ejpam-5956	512	12	.	.	PUNCT
ejpam-5956	513	1	then	then	ADV
ejpam-5956	513	2	,	,	PUNCT
ejpam-5956	513	3	(	(	PUNCT
ejpam-5956	513	4	1	1	X
ejpam-5956	513	5	)	)	PUNCT
ejpam-5956	513	6	f	f	NOUN
ejpam-5956	513	7	:	:	PUNCT
ejpam-5956	513	8	(	(	PUNCT
ejpam-5956	513	9	ξ	ξ	NOUN
ejpam-5956	513	10	,	,	PUNCT
ejpam-5956	513	11	τ1	τ1	NOUN
ejpam-5956	513	12	,	,	PUNCT
ejpam-5956	513	13	ℓ	ℓ	PROPN
ejpam-5956	513	14	p	p	NOUN
ejpam-5956	513	15	1	1	NUM
ejpam-5956	513	16	)	)	PUNCT
ejpam-5956	513	17	↬	↬	NOUN
ejpam-5956	513	18	(	(	PUNCT
ejpam-5956	513	19	υ	υ	PROPN
ejpam-5956	513	20	,	,	PUNCT
ejpam-5956	513	21	σ	σ	PROPN
ejpam-5956	513	22	)	)	PUNCT
ejpam-5956	513	23	is	be	AUX
ejpam-5956	513	24	pf	pf	PROPN
ejpam-5956	513	25	us	us	PROPN
ejpam-5956	513	26	(	(	PUNCT
ejpam-5956	513	27	resp	resp	NOUN
ejpam-5956	513	28	.	.	PUNCT
ejpam-5956	514	1	pf	pf	PROPN
ejpam-5956	514	2	ls)-continuous	ls)-continuous	ADJ
ejpam-5956	515	1	but	but	CCONJ
ejpam-5956	515	2	it	it	PRON
ejpam-5956	515	3	is	be	AUX
ejpam-5956	515	4	not	not	PART
ejpam-5956	515	5	pf	pf	PROPN
ejpam-5956	515	6	u	u	NOUN
ejpam-5956	515	7	(	(	PUNCT
ejpam-5956	515	8	resp	resp	NOUN
ejpam-5956	515	9	.	.	PUNCT
ejpam-5956	516	1	pf	pf	PROPN
ejpam-5956	516	2	l	l	NOUN
ejpam-5956	516	3	)	)	PUNCT
ejpam-5956	516	4	ℓp	ℓp	ADJ
ejpam-5956	516	5	-continuous	-continuous	ADJ
ejpam-5956	516	6	because	because	SCONJ
ejpam-5956	516	7	fu	fu	PROPN
ejpam-5956	516	8	(	(	PUNCT
ejpam-5956	516	9	q1	q1	PROPN
ejpam-5956	516	10	)	)	PUNCT
ejpam-5956	516	11	=	=	SYM
ejpam-5956	516	12	k1	k1	NOUN
ejpam-5956	516	13	⊆	⊆	NUM
ejpam-5956	516	14	intτ	intτ	NOUN
ejpam-5956	516	15	(	(	PUNCT
ejpam-5956	516	16	fu	fu	NOUN
ejpam-5956	516	17	(	(	PUNCT
ejpam-5956	516	18	q1	q1	PROPN
ejpam-5956	516	19	)	)	PUNCT
ejpam-5956	516	20	,	,	PUNCT
ejpam-5956	516	21	⟨0.33	⟨0.33	PROPN
ejpam-5956	516	22	,	,	PUNCT
ejpam-5956	516	23	0.33	0.33	NUM
ejpam-5956	516	24	,	,	PUNCT
ejpam-5956	516	25	0.33⟩	0.33⟩	NOUN
ejpam-5956	516	26	)	)	PUNCT
ejpam-5956	517	1	=	=	SYM
ejpam-5956	517	2	k1	k1	PROPN
ejpam-5956	517	3	.	.	PUNCT
ejpam-5956	518	1	fl	fl	PROPN
ejpam-5956	518	2	(	(	PUNCT
ejpam-5956	518	3	q1	q1	PROPN
ejpam-5956	518	4	)	)	PUNCT
ejpam-5956	518	5	=	=	SYM
ejpam-5956	518	6	k1	k1	NOUN
ejpam-5956	518	7	⊆	⊆	NUM
ejpam-5956	518	8	intτ	intτ	ADV
ejpam-5956	518	9	(	(	PUNCT
ejpam-5956	518	10	fl	fl	PROPN
ejpam-5956	518	11	(	(	PUNCT
ejpam-5956	518	12	q1	q1	PROPN
ejpam-5956	518	13	)	)	PUNCT
ejpam-5956	518	14	,	,	PUNCT
ejpam-5956	518	15	⟨0.33	⟨0.33	PROPN
ejpam-5956	518	16	,	,	PUNCT
ejpam-5956	518	17	0.33	0.33	NUM
ejpam-5956	518	18	,	,	PUNCT
ejpam-5956	518	19	0.33⟩	0.33⟩	NOUN
ejpam-5956	518	20	)	)	PUNCT
ejpam-5956	518	21	=	=	SYM
ejpam-5956	518	22	k1	k1	PROPN
ejpam-5956	518	23	.	.	PUNCT
ejpam-5956	519	1	but	but	CCONJ
ejpam-5956	519	2	fu	fu	PROPN
ejpam-5956	519	3	(	(	PUNCT
ejpam-5956	519	4	q1	q1	PROPN
ejpam-5956	519	5	)	)	PUNCT
ejpam-5956	519	6	=	=	SYM
ejpam-5956	519	7	k1	k1	NOUN
ejpam-5956	519	8	⊈	⊈	PROPN
ejpam-5956	519	9	intτ	intτ	ADV
ejpam-5956	519	10	(	(	PUNCT
ejpam-5956	519	11	φ(fu	φ(fu	PROPN
ejpam-5956	519	12	(	(	PUNCT
ejpam-5956	519	13	q1	q1	PROPN
ejpam-5956	519	14	)	)	PUNCT
ejpam-5956	519	15	,	,	PUNCT
ejpam-5956	519	16	⟨0.33	⟨0.33	PROPN
ejpam-5956	519	17	,	,	PUNCT
ejpam-5956	519	18	0.33	0.33	NUM
ejpam-5956	519	19	,	,	PUNCT
ejpam-5956	519	20	0.33⟩	0.33⟩	PROPN
ejpam-5956	519	21	)	)	PUNCT
ejpam-5956	519	22	,	,	PUNCT
ejpam-5956	519	23	⟨0.33	⟨0.33	PROPN
ejpam-5956	519	24	,	,	PUNCT
ejpam-5956	519	25	0.33	0.33	NUM
ejpam-5956	519	26	,	,	PUNCT
ejpam-5956	519	27	0.33⟩	0.33⟩	NOUN
ejpam-5956	519	28	)	)	PUNCT
ejpam-5956	520	1	=	=	SYM
ejpam-5956	520	2	♭	♭	INTJ
ejpam-5956	520	3	.	.	PUNCT
ejpam-5956	521	1	fl	fl	PROPN
ejpam-5956	521	2	(	(	PUNCT
ejpam-5956	521	3	q1	q1	PROPN
ejpam-5956	521	4	)	)	PUNCT
ejpam-5956	521	5	=	=	SYM
ejpam-5956	521	6	k1	k1	NOUN
ejpam-5956	521	7	⊈	⊈	PROPN
ejpam-5956	521	8	intτ	intτ	ADV
ejpam-5956	521	9	(	(	PUNCT
ejpam-5956	521	10	φ(fl	φ(fl	PROPN
ejpam-5956	521	11	(	(	PUNCT
ejpam-5956	521	12	q1	q1	PROPN
ejpam-5956	521	13	)	)	PUNCT
ejpam-5956	521	14	,	,	PUNCT
ejpam-5956	521	15	⟨0.33	⟨0.33	PROPN
ejpam-5956	521	16	,	,	PUNCT
ejpam-5956	521	17	0.33	0.33	NUM
ejpam-5956	521	18	,	,	PUNCT
ejpam-5956	521	19	0.33⟩	0.33⟩	PROPN
ejpam-5956	521	20	)	)	PUNCT
ejpam-5956	521	21	,	,	PUNCT
ejpam-5956	521	22	⟨0.33	⟨0.33	PROPN
ejpam-5956	521	23	,	,	PUNCT
ejpam-5956	521	24	0.33	0.33	NUM
ejpam-5956	521	25	,	,	PUNCT
ejpam-5956	521	26	0.33⟩	0.33⟩	NOUN
ejpam-5956	521	27	)	)	PUNCT
ejpam-5956	522	1	=	=	SYM
ejpam-5956	522	2	♭	♭	INTJ
ejpam-5956	522	3	.	.	PUNCT
ejpam-5956	523	1	(	(	PUNCT
ejpam-5956	523	2	2	2	X
ejpam-5956	523	3	)	)	PUNCT
ejpam-5956	523	4	f	f	NOUN
ejpam-5956	523	5	:	:	PUNCT
ejpam-5956	523	6	(	(	PUNCT
ejpam-5956	523	7	ξ	ξ	X
ejpam-5956	523	8	,	,	PUNCT
ejpam-5956	523	9	τ2	τ2	ADJ
ejpam-5956	523	10	,	,	PUNCT
ejpam-5956	523	11	ℓ	ℓ	PROPN
ejpam-5956	523	12	p	p	NOUN
ejpam-5956	523	13	2	2	NUM
ejpam-5956	523	14	)	)	PUNCT
ejpam-5956	523	15	↬	↬	NOUN
ejpam-5956	523	16	(	(	PUNCT
ejpam-5956	523	17	υ	υ	PROPN
ejpam-5956	523	18	,	,	PUNCT
ejpam-5956	523	19	σ	σ	PROPN
ejpam-5956	523	20	)	)	PUNCT
ejpam-5956	523	21	is	be	AUX
ejpam-5956	523	22	pf	pf	PROPN
ejpam-5956	523	23	u	u	PROPN
ejpam-5956	523	24	(	(	PUNCT
ejpam-5956	523	25	resp	resp	NOUN
ejpam-5956	523	26	.	.	PUNCT
ejpam-5956	524	1	pf	pf	PROPN
ejpam-5956	524	2	l	l	NOUN
ejpam-5956	524	3	)	)	PUNCT
ejpam-5956	524	4	ℓp	ℓp	ADJ
ejpam-5956	524	5	-continuous	-continuous	ADJ
ejpam-5956	525	1	but	but	CCONJ
ejpam-5956	525	2	it	it	PRON
ejpam-5956	525	3	is	be	AUX
ejpam-5956	525	4	not	not	PART
ejpam-5956	525	5	pf	pf	ADP
ejpam-5956	525	6	us	us	PROPN
ejpam-5956	525	7	(	(	PUNCT
ejpam-5956	525	8	resp	resp	NOUN
ejpam-5956	525	9	.	.	PUNCT
ejpam-5956	526	1	pf	pf	PROPN
ejpam-5956	526	2	ls)-continuous	ls)-continuous	ADJ
ejpam-5956	526	3	because	because	SCONJ
ejpam-5956	526	4	fu	fu	PROPN
ejpam-5956	526	5	(	(	PUNCT
ejpam-5956	526	6	q1	q1	PROPN
ejpam-5956	526	7	)	)	PUNCT
ejpam-5956	526	8	=	=	SYM
ejpam-5956	526	9	k1	k1	NOUN
ejpam-5956	526	10	⊆	⊆	NUM
ejpam-5956	526	11	intτ	intτ	ADV
ejpam-5956	526	12	(	(	PUNCT
ejpam-5956	526	13	φ(fu	φ(fu	PROPN
ejpam-5956	526	14	(	(	PUNCT
ejpam-5956	526	15	q1	q1	PROPN
ejpam-5956	526	16	)	)	PUNCT
ejpam-5956	526	17	,	,	PUNCT
ejpam-5956	526	18	⟨0.33	⟨0.33	PROPN
ejpam-5956	526	19	,	,	PUNCT
ejpam-5956	526	20	0.33	0.33	NUM
ejpam-5956	526	21	,	,	PUNCT
ejpam-5956	526	22	0.33⟩	0.33⟩	PROPN
ejpam-5956	526	23	)	)	PUNCT
ejpam-5956	526	24	,	,	PUNCT
ejpam-5956	526	25	⟨0.33	⟨0.33	PROPN
ejpam-5956	526	26	,	,	PUNCT
ejpam-5956	526	27	0.33	0.33	NUM
ejpam-5956	526	28	,	,	PUNCT
ejpam-5956	526	29	0.33⟩	0.33⟩	NOUN
ejpam-5956	526	30	)	)	PUNCT
ejpam-5956	527	1	=	=	SYM
ejpam-5956	527	2	♯.	♯.	PROPN
ejpam-5956	527	3	fl	fl	PROPN
ejpam-5956	527	4	(	(	PUNCT
ejpam-5956	527	5	q1	q1	PROPN
ejpam-5956	527	6	)	)	PUNCT
ejpam-5956	527	7	=	=	SYM
ejpam-5956	527	8	k1	k1	NOUN
ejpam-5956	527	9	⊆	⊆	NUM
ejpam-5956	527	10	intτ	intτ	NOUN
ejpam-5956	527	11	(	(	PUNCT
ejpam-5956	527	12	φ(fl	φ(fl	PROPN
ejpam-5956	527	13	(	(	PUNCT
ejpam-5956	527	14	q1	q1	PROPN
ejpam-5956	527	15	)	)	PUNCT
ejpam-5956	527	16	,	,	PUNCT
ejpam-5956	527	17	⟨0.33	⟨0.33	PROPN
ejpam-5956	527	18	,	,	PUNCT
ejpam-5956	527	19	0.33	0.33	NUM
ejpam-5956	527	20	,	,	PUNCT
ejpam-5956	527	21	0.33⟩	0.33⟩	PROPN
ejpam-5956	527	22	)	)	PUNCT
ejpam-5956	527	23	,	,	PUNCT
ejpam-5956	527	24	⟨0.33	⟨0.33	PROPN
ejpam-5956	527	25	,	,	PUNCT
ejpam-5956	527	26	0.33	0.33	NUM
ejpam-5956	527	27	,	,	PUNCT
ejpam-5956	527	28	0.33⟩	0.33⟩	NOUN
ejpam-5956	527	29	)	)	PUNCT
ejpam-5956	527	30	=	=	SYM
ejpam-5956	528	1	♯.	♯.	PROPN
ejpam-5956	528	2	but	but	CCONJ
ejpam-5956	528	3	fu	fu	PROPN
ejpam-5956	528	4	(	(	PUNCT
ejpam-5956	528	5	q1	q1	PROPN
ejpam-5956	528	6	)	)	PUNCT
ejpam-5956	528	7	=	=	SYM
ejpam-5956	528	8	k1	k1	NOUN
ejpam-5956	528	9	⊈	⊈	PROPN
ejpam-5956	528	10	intτ	intτ	NOUN
ejpam-5956	528	11	(	(	PUNCT
ejpam-5956	528	12	fu	fu	PROPN
ejpam-5956	528	13	(	(	PUNCT
ejpam-5956	528	14	q1	q1	PROPN
ejpam-5956	528	15	)	)	PUNCT
ejpam-5956	528	16	,	,	PUNCT
ejpam-5956	528	17	⟨0.33	⟨0.33	PROPN
ejpam-5956	528	18	,	,	PUNCT
ejpam-5956	528	19	0.33	0.33	NUM
ejpam-5956	528	20	,	,	PUNCT
ejpam-5956	528	21	0.33⟩	0.33⟩	NOUN
ejpam-5956	528	22	)	)	PUNCT
ejpam-5956	529	1	=	=	SYM
ejpam-5956	529	2	♭	♭	INTJ
ejpam-5956	529	3	.	.	PUNCT
ejpam-5956	530	1	fl	fl	PROPN
ejpam-5956	530	2	(	(	PUNCT
ejpam-5956	530	3	q1	q1	PROPN
ejpam-5956	530	4	)	)	PUNCT
ejpam-5956	530	5	=	=	SYM
ejpam-5956	530	6	k1	k1	NOUN
ejpam-5956	530	7	⊈	⊈	PROPN
ejpam-5956	530	8	intτ	intτ	ADV
ejpam-5956	530	9	(	(	PUNCT
ejpam-5956	530	10	fl	fl	PROPN
ejpam-5956	530	11	(	(	PUNCT
ejpam-5956	530	12	q1	q1	PROPN
ejpam-5956	530	13	)	)	PUNCT
ejpam-5956	530	14	,	,	PUNCT
ejpam-5956	530	15	⟨0.33	⟨0.33	PROPN
ejpam-5956	530	16	,	,	PUNCT
ejpam-5956	530	17	0.33	0.33	NUM
ejpam-5956	530	18	,	,	PUNCT
ejpam-5956	530	19	0.33⟩	0.33⟩	NOUN
ejpam-5956	530	20	)	)	PUNCT
ejpam-5956	531	1	=	=	SYM
ejpam-5956	531	2	♭	♭	PROPN
ejpam-5956	531	3	.	.	PUNCT
ejpam-5956	532	1	dali	dali	PROPN
ejpam-5956	532	2	shi	shi	PROPN
ejpam-5956	532	3	et	et	PROPN
ejpam-5956	532	4	al	al	PROPN
ejpam-5956	532	5	.	.	PUNCT
ejpam-5956	532	6	/	/	SYM
ejpam-5956	532	7	eur	eur	PROPN
ejpam-5956	532	8	.	.	PUNCT
ejpam-5956	533	1	j.	j.	PROPN
ejpam-5956	533	2	pure	pure	PROPN
ejpam-5956	533	3	appl	appl	PROPN
ejpam-5956	533	4	.	.	PROPN
ejpam-5956	533	5	math	math	PROPN
ejpam-5956	533	6	,	,	PUNCT
ejpam-5956	533	7	18	18	NUM
ejpam-5956	533	8	(	(	PUNCT
ejpam-5956	533	9	2	2	NUM
ejpam-5956	533	10	)	)	PUNCT
ejpam-5956	533	11	(	(	PUNCT
ejpam-5956	533	12	2025	2025	NUM
ejpam-5956	533	13	)	)	PUNCT
ejpam-5956	533	14	,	,	PUNCT
ejpam-5956	533	15	5956	5956	NUM
ejpam-5956	533	16	18	18	NUM
ejpam-5956	533	17	of	of	ADP
ejpam-5956	533	18	30	30	NUM
ejpam-5956	533	19	theorem	theorem	VERB
ejpam-5956	533	20	3.5	3.5	NUM
ejpam-5956	533	21	.	.	PUNCT
ejpam-5956	534	1	for	for	ADP
ejpam-5956	534	2	a	a	DET
ejpam-5956	534	3	pfm	pfm	NOUN
ejpam-5956	534	4	f	f	NOUN
ejpam-5956	534	5	:	:	PUNCT
ejpam-5956	534	6	(	(	PUNCT
ejpam-5956	534	7	ξ	ξ	X
ejpam-5956	534	8	,	,	PUNCT
ejpam-5956	534	9	τ	τ	X
ejpam-5956	534	10	)	)	PUNCT
ejpam-5956	534	11	↬	↬	PROPN
ejpam-5956	534	12	(	(	PUNCT
ejpam-5956	534	13	υ	υ	PROPN
ejpam-5956	534	14	,	,	PUNCT
ejpam-5956	534	15	σ	σ	PROPN
ejpam-5956	534	16	,	,	PUNCT
ejpam-5956	534	17	ℓp	ℓp	NOUN
ejpam-5956	534	18	)	)	PUNCT
ejpam-5956	534	19	,	,	PUNCT
ejpam-5956	534	20	q	q	PROPN
ejpam-5956	534	21	∈	∈	PROPN
ejpam-5956	534	22	(	(	PUNCT
ejpam-5956	534	23	i3	i3	NOUN
ejpam-5956	534	24	)	)	PUNCT
ejpam-5956	534	25	υ	υ	NOUN
ejpam-5956	534	26	,	,	PUNCT
ejpam-5956	534	27	ς	ς	PROPN
ejpam-5956	534	28	∈	∈	PROPN
ejpam-5956	534	29	i0,κ	i0,κ	PROPN
ejpam-5956	534	30	∈	∈	PROPN
ejpam-5956	534	31	i1	i1	PROPN
ejpam-5956	534	32	and	and	CCONJ
ejpam-5956	534	33	ϑ	ϑ	PROPN
ejpam-5956	534	34	∈	∈	PROPN
ejpam-5956	534	35	i1	i1	PROPN
ejpam-5956	534	36	,	,	PUNCT
ejpam-5956	534	37	the	the	DET
ejpam-5956	534	38	following	following	ADJ
ejpam-5956	534	39	statements	statement	NOUN
ejpam-5956	534	40	are	be	AUX
ejpam-5956	534	41	equivalent	equivalent	ADJ
ejpam-5956	534	42	:	:	PUNCT
ejpam-5956	534	43	(	(	PUNCT
ejpam-5956	534	44	1	1	X
ejpam-5956	534	45	)	)	PUNCT
ejpam-5956	534	46	f	f	PROPN
ejpam-5956	534	47	is	be	AUX
ejpam-5956	534	48	pf	pf	PROPN
ejpam-5956	534	49	la	la	ADV
ejpam-5956	534	50	ℓp	ℓp	ADJ
ejpam-5956	534	51	-continuous	-continuous	ADJ
ejpam-5956	534	52	.	.	PUNCT
ejpam-5956	535	1	(	(	PUNCT
ejpam-5956	535	2	2	2	X
ejpam-5956	535	3	)	)	PUNCT
ejpam-5956	535	4	fl	fl	PROPN
ejpam-5956	535	5	(	(	PUNCT
ejpam-5956	535	6	q	q	NOUN
ejpam-5956	535	7	)	)	PUNCT
ejpam-5956	535	8	⊆	⊆	NUM
ejpam-5956	535	9	intτ	intτ	ADV
ejpam-5956	535	10	(	(	PUNCT
ejpam-5956	535	11	fl(intσ(cl	fl(intσ(cl	NOUN
ejpam-5956	535	12	∗	∗	NOUN
ejpam-5956	535	13	(	(	PUNCT
ejpam-5956	535	14	q	q	NOUN
ejpam-5956	535	15	,	,	PUNCT
ejpam-5956	535	16	⟨ς	⟨ς	NOUN
ejpam-5956	535	17	,	,	PUNCT
ejpam-5956	535	18	κ	κ	NOUN
ejpam-5956	535	19	,	,	PUNCT
ejpam-5956	535	20	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	535	21	)	)	PUNCT
ejpam-5956	535	22	,	,	PUNCT
ejpam-5956	535	23	⟨ς	⟨ς	X
ejpam-5956	535	24	,	,	PUNCT
ejpam-5956	535	25	κ	κ	NOUN
ejpam-5956	535	26	,	,	PUNCT
ejpam-5956	535	27	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	535	28	)	)	PUNCT
ejpam-5956	535	29	)	)	PUNCT
ejpam-5956	535	30	,	,	PUNCT
ejpam-5956	535	31	⟨ς	⟨ς	NOUN
ejpam-5956	535	32	,	,	PUNCT
ejpam-5956	535	33	κ	κ	NOUN
ejpam-5956	535	34	,	,	PUNCT
ejpam-5956	535	35	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	535	36	)	)	PUNCT
ejpam-5956	535	37	,	,	PUNCT
ejpam-5956	535	38	if	if	SCONJ
ejpam-5956	535	39	σ	σ	PROPN
ejpam-5956	535	40	(	(	PUNCT
ejpam-5956	535	41	q	q	NOUN
ejpam-5956	535	42	)	)	PUNCT
ejpam-5956	535	43	≥	≥	NOUN
ejpam-5956	535	44	⟨ς	⟨ς	NOUN
ejpam-5956	535	45	,	,	PUNCT
ejpam-5956	535	46	κ	κ	NOUN
ejpam-5956	535	47	,	,	PUNCT
ejpam-5956	535	48	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	535	49	.	.	PUNCT
ejpam-5956	536	1	(	(	PUNCT
ejpam-5956	536	2	3	3	X
ejpam-5956	536	3	)	)	PUNCT
ejpam-5956	536	4	clτ	clτ	NOUN
ejpam-5956	536	5	(	(	PUNCT
ejpam-5956	536	6	fu(clσ(int	fu(clσ(int	NOUN
ejpam-5956	536	7	∗	∗	NOUN
ejpam-5956	536	8	(	(	PUNCT
ejpam-5956	536	9	q	q	NOUN
ejpam-5956	536	10	,	,	PUNCT
ejpam-5956	536	11	⟨ς	⟨ς	NOUN
ejpam-5956	536	12	,	,	PUNCT
ejpam-5956	536	13	κ	κ	NOUN
ejpam-5956	536	14	,	,	PUNCT
ejpam-5956	536	15	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	536	16	)	)	PUNCT
ejpam-5956	536	17	,	,	PUNCT
ejpam-5956	536	18	⟨ς	⟨ς	X
ejpam-5956	536	19	,	,	PUNCT
ejpam-5956	536	20	κ	κ	NOUN
ejpam-5956	536	21	,	,	PUNCT
ejpam-5956	536	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	536	23	)	)	PUNCT
ejpam-5956	536	24	)	)	PUNCT
ejpam-5956	536	25	,	,	PUNCT
ejpam-5956	536	26	⟨ς	⟨ς	NOUN
ejpam-5956	536	27	,	,	PUNCT
ejpam-5956	536	28	κ	κ	NOUN
ejpam-5956	536	29	,	,	PUNCT
ejpam-5956	536	30	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	536	31	)	)	PUNCT
ejpam-5956	536	32	⊆	⊆	NUM
ejpam-5956	536	33	fu	fu	NOUN
ejpam-5956	536	34	(	(	PUNCT
ejpam-5956	536	35	q	q	NOUN
ejpam-5956	536	36	)	)	PUNCT
ejpam-5956	536	37	,	,	PUNCT
ejpam-5956	536	38	if	if	SCONJ
ejpam-5956	536	39	σ(ⅎ	σ(ⅎ	PROPN
ejpam-5956	536	40	q	q	X
ejpam-5956	536	41	)	)	PUNCT
ejpam-5956	536	42	≥	≥	NOUN
ejpam-5956	536	43	⟨ς	⟨ς	NOUN
ejpam-5956	536	44	,	,	PUNCT
ejpam-5956	536	45	κ	κ	NOUN
ejpam-5956	536	46	,	,	PUNCT
ejpam-5956	536	47	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	536	48	.	.	PUNCT
ejpam-5956	537	1	proof	proof	NOUN
ejpam-5956	537	2	.	.	PUNCT
ejpam-5956	538	1	(	(	PUNCT
ejpam-5956	538	2	1	1	X
ejpam-5956	538	3	)	)	PUNCT
ejpam-5956	538	4	=	=	NOUN
ejpam-5956	538	5	⇒	⇒	NOUN
ejpam-5956	538	6	(	(	PUNCT
ejpam-5956	538	7	2	2	X
ejpam-5956	538	8	)	)	PUNCT
ejpam-5956	538	9	let	let	VERB
ejpam-5956	538	10	ξ⟨ς	ξ⟨ς	NUM
ejpam-5956	538	11	,	,	PUNCT
ejpam-5956	538	12	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	538	13	∈	∈	PROPN
ejpam-5956	539	1	d	d	X
ejpam-5956	539	2	(	(	PUNCT
ejpam-5956	539	3	f	f	PROPN
ejpam-5956	539	4	)	)	PUNCT
ejpam-5956	539	5	,	,	PUNCT
ejpam-5956	539	6	q	q	PROPN
ejpam-5956	539	7	∈	∈	PROPN
ejpam-5956	539	8	(	(	PUNCT
ejpam-5956	539	9	i3	i3	NOUN
ejpam-5956	539	10	)	)	PUNCT
ejpam-5956	539	11	υ	υ	PROPN
ejpam-5956	539	12	,	,	PUNCT
ejpam-5956	539	13	σ	σ	PROPN
ejpam-5956	539	14	(	(	PUNCT
ejpam-5956	539	15	q	q	PROPN
ejpam-5956	539	16	)	)	PUNCT
ejpam-5956	539	17	≥	≥	NOUN
ejpam-5956	539	18	⟨ς	⟨ς	NOUN
ejpam-5956	539	19	,	,	PUNCT
ejpam-5956	539	20	κ	κ	NOUN
ejpam-5956	539	21	,	,	PUNCT
ejpam-5956	539	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	539	23	and	and	CCONJ
ejpam-5956	539	24	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	539	25	,	,	PUNCT
ejpam-5956	539	26	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	539	27	∈	∈	PROPN
ejpam-5956	539	28	fl	fl	PROPN
ejpam-5956	539	29	(	(	PUNCT
ejpam-5956	539	30	q	q	PROPN
ejpam-5956	539	31	)	)	PUNCT
ejpam-5956	539	32	.	.	PUNCT
ejpam-5956	540	1	then	then	ADV
ejpam-5956	540	2	,	,	PUNCT
ejpam-5956	540	3	there	there	PRON
ejpam-5956	540	4	exists	exist	VERB
ejpam-5956	540	5	k	k	PROPN
ejpam-5956	540	6	∈	∈	PROPN
ejpam-5956	540	7	(	(	PUNCT
ejpam-5956	540	8	i3	i3	NOUN
ejpam-5956	540	9	)	)	PUNCT
ejpam-5956	540	10	ξ	ξ	PROPN
ejpam-5956	540	11	,	,	PUNCT
ejpam-5956	540	12	τ(k	τ(k	PROPN
ejpam-5956	540	13	)	)	PUNCT
ejpam-5956	540	14	≥	≥	NUM
ejpam-5956	540	15	⟨ς	⟨ς	NOUN
ejpam-5956	540	16	,	,	PUNCT
ejpam-5956	540	17	κ	κ	NOUN
ejpam-5956	540	18	,	,	PUNCT
ejpam-5956	540	19	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	540	20	and	and	CCONJ
ejpam-5956	540	21	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	540	22	,	,	PUNCT
ejpam-5956	540	23	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	540	24	∈	∈	PROPN
ejpam-5956	540	25	k	k	PRON
ejpam-5956	540	26	such	such	ADJ
ejpam-5956	540	27	that	that	SCONJ
ejpam-5956	540	28	k	k	PROPN
ejpam-5956	540	29	⊆	⊆	NUM
ejpam-5956	540	30	fl(intσ(cl	fl(intσ(cl	NOUN
ejpam-5956	540	31	∗	∗	NOUN
ejpam-5956	540	32	(	(	PUNCT
ejpam-5956	540	33	q	q	NOUN
ejpam-5956	540	34	,	,	PUNCT
ejpam-5956	540	35	⟨ς	⟨ς	NOUN
ejpam-5956	540	36	,	,	PUNCT
ejpam-5956	540	37	κ	κ	NOUN
ejpam-5956	540	38	,	,	PUNCT
ejpam-5956	540	39	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	540	40	)	)	PUNCT
ejpam-5956	540	41	,	,	PUNCT
ejpam-5956	540	42	⟨ς	⟨ς	X
ejpam-5956	540	43	,	,	PUNCT
ejpam-5956	540	44	κ	κ	NOUN
ejpam-5956	540	45	,	,	PUNCT
ejpam-5956	540	46	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	540	47	)	)	PUNCT
ejpam-5956	540	48	)	)	PUNCT
ejpam-5956	540	49	.	.	PUNCT
ejpam-5956	541	1	thus	thus	ADV
ejpam-5956	541	2	,	,	PUNCT
ejpam-5956	541	3	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	541	4	,	,	PUNCT
ejpam-5956	541	5	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	541	6	∈	∈	PROPN
ejpam-5956	541	7	k	k	PROPN
ejpam-5956	541	8	⊆	⊆	NUM
ejpam-5956	541	9	intτfl(intσ(cl	intτfl(intσ(cl	PROPN
ejpam-5956	541	10	∗	∗	NOUN
ejpam-5956	541	11	(	(	PUNCT
ejpam-5956	541	12	q	q	NOUN
ejpam-5956	541	13	,	,	PUNCT
ejpam-5956	541	14	⟨ς	⟨ς	NOUN
ejpam-5956	541	15	,	,	PUNCT
ejpam-5956	541	16	κ	κ	NOUN
ejpam-5956	541	17	,	,	PUNCT
ejpam-5956	541	18	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	541	19	)	)	PUNCT
ejpam-5956	541	20	,	,	PUNCT
ejpam-5956	541	21	⟨ς	⟨ς	X
ejpam-5956	541	22	,	,	PUNCT
ejpam-5956	541	23	κ	κ	NOUN
ejpam-5956	541	24	,	,	PUNCT
ejpam-5956	541	25	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	541	26	)	)	PUNCT
ejpam-5956	541	27	)	)	PUNCT
ejpam-5956	541	28	,	,	PUNCT
ejpam-5956	541	29	⟨ς	⟨ς	NOUN
ejpam-5956	541	30	,	,	PUNCT
ejpam-5956	541	31	κ	κ	NOUN
ejpam-5956	541	32	,	,	PUNCT
ejpam-5956	541	33	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	541	34	)	)	PUNCT
ejpam-5956	541	35	,	,	PUNCT
ejpam-5956	541	36	and	and	CCONJ
ejpam-5956	541	37	hence	hence	ADV
ejpam-5956	541	38	fl	fl	PROPN
ejpam-5956	541	39	(	(	PUNCT
ejpam-5956	541	40	q	q	X
ejpam-5956	541	41	)	)	PUNCT
ejpam-5956	541	42	⊆	⊆	NUM
ejpam-5956	541	43	intτ	intτ	ADV
ejpam-5956	541	44	(	(	PUNCT
ejpam-5956	541	45	fl(intσ(cl	fl(intσ(cl	NOUN
ejpam-5956	541	46	∗	∗	NOUN
ejpam-5956	541	47	(	(	PUNCT
ejpam-5956	541	48	q	q	NOUN
ejpam-5956	541	49	,	,	PUNCT
ejpam-5956	541	50	⟨ς	⟨ς	NOUN
ejpam-5956	541	51	,	,	PUNCT
ejpam-5956	541	52	κ	κ	NOUN
ejpam-5956	541	53	,	,	PUNCT
ejpam-5956	541	54	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	541	55	)	)	PUNCT
ejpam-5956	541	56	,	,	PUNCT
ejpam-5956	541	57	⟨ς	⟨ς	X
ejpam-5956	541	58	,	,	PUNCT
ejpam-5956	541	59	κ	κ	NOUN
ejpam-5956	541	60	,	,	PUNCT
ejpam-5956	541	61	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	541	62	)	)	PUNCT
ejpam-5956	541	63	)	)	PUNCT
ejpam-5956	541	64	,	,	PUNCT
ejpam-5956	541	65	⟨ς	⟨ς	NOUN
ejpam-5956	541	66	,	,	PUNCT
ejpam-5956	541	67	κ	κ	NOUN
ejpam-5956	541	68	,	,	PUNCT
ejpam-5956	541	69	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	541	70	)	)	PUNCT
ejpam-5956	541	71	.	.	PUNCT
ejpam-5956	542	1	(	(	PUNCT
ejpam-5956	542	2	2	2	X
ejpam-5956	542	3	)	)	PUNCT
ejpam-5956	542	4	=	=	NOUN
ejpam-5956	542	5	⇒	⇒	NOUN
ejpam-5956	542	6	(	(	PUNCT
ejpam-5956	542	7	3	3	X
ejpam-5956	542	8	)	)	PUNCT
ejpam-5956	542	9	let	let	VERB
ejpam-5956	542	10	q	q	PROPN
ejpam-5956	542	11	∈	∈	PROPN
ejpam-5956	542	12	(	(	PUNCT
ejpam-5956	542	13	i3	i3	NOUN
ejpam-5956	542	14	)	)	PUNCT
ejpam-5956	542	15	υ	υ	NOUN
ejpam-5956	542	16	with	with	ADP
ejpam-5956	542	17	σ(ⅎ	σ(ⅎ	PROPN
ejpam-5956	542	18	q	q	PROPN
ejpam-5956	542	19	)	)	PUNCT
ejpam-5956	542	20	≥	≥	NOUN
ejpam-5956	542	21	⟨ς	⟨ς	NOUN
ejpam-5956	542	22	,	,	PUNCT
ejpam-5956	542	23	κ	κ	NOUN
ejpam-5956	542	24	,	,	PUNCT
ejpam-5956	542	25	ϑ⟩.	ϑ⟩.	VERB
ejpam-5956	542	26	then	then	ADV
ejpam-5956	542	27	,	,	PUNCT
ejpam-5956	542	28	by	by	ADP
ejpam-5956	542	29	(	(	PUNCT
ejpam-5956	542	30	2	2	X
ejpam-5956	542	31	)	)	PUNCT
ejpam-5956	542	32	ⅎfu	ⅎfu	NOUN
ejpam-5956	542	33	(	(	PUNCT
ejpam-5956	542	34	q	q	X
ejpam-5956	542	35	)	)	PUNCT
ejpam-5956	542	36	=	=	SYM
ejpam-5956	542	37	fl(ⅎ	fl(ⅎ	X
ejpam-5956	542	38	q	q	X
ejpam-5956	542	39	)	)	PUNCT
ejpam-5956	542	40	⊆	⊆	NUM
ejpam-5956	542	41	intτ	intτ	ADV
ejpam-5956	542	42	(	(	PUNCT
ejpam-5956	542	43	fl(intσ(cl	fl(intσ(cl	NOUN
ejpam-5956	542	44	∗	∗	NOUN
ejpam-5956	542	45	(	(	PUNCT
ejpam-5956	542	46	ⅎ	ⅎ	X
ejpam-5956	542	47	q	q	NOUN
ejpam-5956	542	48	,	,	PUNCT
ejpam-5956	542	49	⟨ς	⟨ς	NOUN
ejpam-5956	542	50	,	,	PUNCT
ejpam-5956	542	51	κ	κ	NOUN
ejpam-5956	542	52	,	,	PUNCT
ejpam-5956	542	53	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	542	54	)	)	PUNCT
ejpam-5956	542	55	,	,	PUNCT
ejpam-5956	542	56	⟨ς	⟨ς	X
ejpam-5956	542	57	,	,	PUNCT
ejpam-5956	542	58	κ	κ	NOUN
ejpam-5956	542	59	,	,	PUNCT
ejpam-5956	542	60	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	542	61	)	)	PUNCT
ejpam-5956	542	62	)	)	PUNCT
ejpam-5956	542	63	,	,	PUNCT
ejpam-5956	542	64	⟨ς	⟨ς	NOUN
ejpam-5956	542	65	,	,	PUNCT
ejpam-5956	542	66	κ	κ	NOUN
ejpam-5956	542	67	,	,	PUNCT
ejpam-5956	542	68	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	542	69	)	)	PUNCT
ejpam-5956	543	1	=	=	PUNCT
ejpam-5956	543	2	ⅎclτ	ⅎclτ	NOUN
ejpam-5956	543	3	(	(	PUNCT
ejpam-5956	543	4	fu(clσ(int	fu(clσ(int	NOUN
ejpam-5956	543	5	∗	∗	NOUN
ejpam-5956	543	6	(	(	PUNCT
ejpam-5956	543	7	q	q	NOUN
ejpam-5956	543	8	,	,	PUNCT
ejpam-5956	543	9	⟨ς	⟨ς	NOUN
ejpam-5956	543	10	,	,	PUNCT
ejpam-5956	543	11	κ	κ	NOUN
ejpam-5956	543	12	,	,	PUNCT
ejpam-5956	543	13	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	543	14	)	)	PUNCT
ejpam-5956	543	15	,	,	PUNCT
ejpam-5956	543	16	⟨ς	⟨ς	X
ejpam-5956	543	17	,	,	PUNCT
ejpam-5956	543	18	κ	κ	NOUN
ejpam-5956	543	19	,	,	PUNCT
ejpam-5956	543	20	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	543	21	)	)	PUNCT
ejpam-5956	543	22	)	)	PUNCT
ejpam-5956	543	23	,	,	PUNCT
ejpam-5956	543	24	⟨ς	⟨ς	NOUN
ejpam-5956	543	25	,	,	PUNCT
ejpam-5956	543	26	κ	κ	NOUN
ejpam-5956	543	27	,	,	PUNCT
ejpam-5956	543	28	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	543	29	)	)	PUNCT
ejpam-5956	543	30	.	.	PUNCT
ejpam-5956	544	1	thus	thus	ADV
ejpam-5956	544	2	,	,	PUNCT
ejpam-5956	544	3	clτ	clτ	INTJ
ejpam-5956	544	4	(	(	PUNCT
ejpam-5956	544	5	fu(clσ(int	fu(clσ(int	NOUN
ejpam-5956	544	6	∗	∗	NOUN
ejpam-5956	544	7	(	(	PUNCT
ejpam-5956	544	8	q	q	NOUN
ejpam-5956	544	9	,	,	PUNCT
ejpam-5956	544	10	⟨ς	⟨ς	NOUN
ejpam-5956	544	11	,	,	PUNCT
ejpam-5956	544	12	κ	κ	NOUN
ejpam-5956	544	13	,	,	PUNCT
ejpam-5956	544	14	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	544	15	)	)	PUNCT
ejpam-5956	544	16	,	,	PUNCT
ejpam-5956	544	17	⟨ς	⟨ς	X
ejpam-5956	544	18	,	,	PUNCT
ejpam-5956	544	19	κ	κ	NOUN
ejpam-5956	544	20	,	,	PUNCT
ejpam-5956	544	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	544	22	)	)	PUNCT
ejpam-5956	544	23	)	)	PUNCT
ejpam-5956	544	24	,	,	PUNCT
ejpam-5956	544	25	⟨ς	⟨ς	NOUN
ejpam-5956	544	26	,	,	PUNCT
ejpam-5956	544	27	κ	κ	NOUN
ejpam-5956	544	28	,	,	PUNCT
ejpam-5956	544	29	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	544	30	)	)	PUNCT
ejpam-5956	544	31	⊆	⊆	NUM
ejpam-5956	544	32	fu	fu	NOUN
ejpam-5956	544	33	(	(	PUNCT
ejpam-5956	544	34	q	q	NOUN
ejpam-5956	544	35	)	)	PUNCT
ejpam-5956	544	36	.	.	PUNCT
ejpam-5956	545	1	(	(	PUNCT
ejpam-5956	545	2	3	3	X
ejpam-5956	545	3	)	)	PUNCT
ejpam-5956	545	4	=	=	NOUN
ejpam-5956	545	5	⇒	⇒	NOUN
ejpam-5956	545	6	(	(	PUNCT
ejpam-5956	545	7	1	1	X
ejpam-5956	545	8	)	)	PUNCT
ejpam-5956	545	9	let	let	VERB
ejpam-5956	545	10	ξ⟨ς	ξ⟨ς	NUM
ejpam-5956	545	11	,	,	PUNCT
ejpam-5956	545	12	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	545	13	∈	∈	PROPN
ejpam-5956	546	1	d	d	X
ejpam-5956	546	2	(	(	PUNCT
ejpam-5956	546	3	f	f	PROPN
ejpam-5956	546	4	)	)	PUNCT
ejpam-5956	546	5	,	,	PUNCT
ejpam-5956	546	6	q	q	PROPN
ejpam-5956	546	7	∈	∈	PROPN
ejpam-5956	546	8	(	(	PUNCT
ejpam-5956	546	9	i3	i3	NOUN
ejpam-5956	546	10	)	)	PUNCT
ejpam-5956	546	11	υ	υ	PROPN
ejpam-5956	546	12	,	,	PUNCT
ejpam-5956	546	13	σ	σ	PROPN
ejpam-5956	546	14	(	(	PUNCT
ejpam-5956	546	15	q	q	NOUN
ejpam-5956	546	16	)	)	PUNCT
ejpam-5956	546	17	≥	≥	NOUN
ejpam-5956	546	18	⟨ς	⟨ς	NOUN
ejpam-5956	546	19	,	,	PUNCT
ejpam-5956	546	20	κ	κ	NOUN
ejpam-5956	546	21	,	,	PUNCT
ejpam-5956	546	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	546	23	and	and	CCONJ
ejpam-5956	546	24	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	546	25	,	,	PUNCT
ejpam-5956	546	26	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	546	27	∈	∈	PROPN
ejpam-5956	546	28	fl	fl	PROPN
ejpam-5956	546	29	(	(	PUNCT
ejpam-5956	546	30	q	q	PROPN
ejpam-5956	546	31	)	)	PUNCT
ejpam-5956	546	32	.	.	PUNCT
ejpam-5956	547	1	then	then	ADV
ejpam-5956	547	2	by	by	ADP
ejpam-5956	547	3	(	(	PUNCT
ejpam-5956	547	4	3	3	NUM
ejpam-5956	547	5	)	)	PUNCT
ejpam-5956	547	6	,	,	PUNCT
ejpam-5956	547	7	we	we	PRON
ejpam-5956	547	8	have	have	VERB
ejpam-5956	547	9	ⅎ	ⅎ	X
ejpam-5956	547	10	[	[	PUNCT
ejpam-5956	547	11	intτ	intτ	NOUN
ejpam-5956	547	12	(	(	PUNCT
ejpam-5956	547	13	fl(intσ(cl	fl(intσ(cl	NOUN
ejpam-5956	547	14	∗	∗	NOUN
ejpam-5956	547	15	(	(	PUNCT
ejpam-5956	547	16	q	q	NOUN
ejpam-5956	547	17	,	,	PUNCT
ejpam-5956	547	18	⟨ς	⟨ς	NOUN
ejpam-5956	547	19	,	,	PUNCT
ejpam-5956	547	20	κ	κ	NOUN
ejpam-5956	547	21	,	,	PUNCT
ejpam-5956	547	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	547	23	)	)	PUNCT
ejpam-5956	547	24	,	,	PUNCT
ejpam-5956	547	25	⟨ς	⟨ς	X
ejpam-5956	547	26	,	,	PUNCT
ejpam-5956	547	27	κ	κ	NOUN
ejpam-5956	547	28	,	,	PUNCT
ejpam-5956	547	29	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	547	30	)	)	PUNCT
ejpam-5956	547	31	)	)	PUNCT
ejpam-5956	547	32	,	,	PUNCT
ejpam-5956	547	33	⟨ς	⟨ς	NOUN
ejpam-5956	547	34	,	,	PUNCT
ejpam-5956	547	35	κ	κ	NOUN
ejpam-5956	547	36	,	,	PUNCT
ejpam-5956	547	37	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	547	38	)	)	PUNCT
ejpam-5956	547	39	]	]	PUNCT
ejpam-5956	548	1	=	=	PUNCT
ejpam-5956	548	2	clτ	clτ	NOUN
ejpam-5956	548	3	(	(	PUNCT
ejpam-5956	548	4	fu(clσ(int	fu(clσ(int	NOUN
ejpam-5956	548	5	∗	∗	NOUN
ejpam-5956	548	6	(	(	PUNCT
ejpam-5956	548	7	ⅎ	ⅎ	X
ejpam-5956	548	8	q	q	NOUN
ejpam-5956	548	9	,	,	PUNCT
ejpam-5956	548	10	⟨ς	⟨ς	NOUN
ejpam-5956	548	11	,	,	PUNCT
ejpam-5956	548	12	κ	κ	NOUN
ejpam-5956	548	13	,	,	PUNCT
ejpam-5956	548	14	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	548	15	)	)	PUNCT
ejpam-5956	548	16	,	,	PUNCT
ejpam-5956	548	17	⟨ς	⟨ς	X
ejpam-5956	548	18	,	,	PUNCT
ejpam-5956	548	19	κ	κ	NOUN
ejpam-5956	548	20	,	,	PUNCT
ejpam-5956	548	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	548	22	)	)	PUNCT
ejpam-5956	548	23	)	)	PUNCT
ejpam-5956	548	24	,	,	PUNCT
ejpam-5956	548	25	⟨ς	⟨ς	NOUN
ejpam-5956	548	26	,	,	PUNCT
ejpam-5956	548	27	κ	κ	NOUN
ejpam-5956	548	28	,	,	PUNCT
ejpam-5956	548	29	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	548	30	)	)	PUNCT
ejpam-5956	548	31	⊆	⊆	NUM
ejpam-5956	548	32	fu	fu	NOUN
ejpam-5956	548	33	(	(	PUNCT
ejpam-5956	548	34	ⅎ	ⅎ	X
ejpam-5956	548	35	q	q	NOUN
ejpam-5956	548	36	)	)	PUNCT
ejpam-5956	548	37	=	=	SYM
ejpam-5956	548	38	ⅎ	ⅎ	PROPN
ejpam-5956	548	39	fl	fl	INTJ
ejpam-5956	548	40	(	(	PUNCT
ejpam-5956	548	41	q	q	NOUN
ejpam-5956	548	42	)	)	PUNCT
ejpam-5956	548	43	,	,	PUNCT
ejpam-5956	548	44	and	and	CCONJ
ejpam-5956	548	45	fl	fl	PROPN
ejpam-5956	548	46	(	(	PUNCT
ejpam-5956	548	47	q	q	PROPN
ejpam-5956	548	48	)	)	PUNCT
ejpam-5956	548	49	⊆	⊆	NUM
ejpam-5956	548	50	intτ	intτ	ADV
ejpam-5956	548	51	(	(	PUNCT
ejpam-5956	548	52	fl(intσ(cl	fl(intσ(cl	NOUN
ejpam-5956	548	53	∗	∗	NOUN
ejpam-5956	548	54	(	(	PUNCT
ejpam-5956	548	55	q	q	NOUN
ejpam-5956	548	56	,	,	PUNCT
ejpam-5956	548	57	⟨ς	⟨ς	NOUN
ejpam-5956	548	58	,	,	PUNCT
ejpam-5956	548	59	κ	κ	NOUN
ejpam-5956	548	60	,	,	PUNCT
ejpam-5956	548	61	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	548	62	)	)	PUNCT
ejpam-5956	548	63	,	,	PUNCT
ejpam-5956	548	64	⟨ς	⟨ς	X
ejpam-5956	548	65	,	,	PUNCT
ejpam-5956	548	66	κ	κ	NOUN
ejpam-5956	548	67	,	,	PUNCT
ejpam-5956	548	68	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	548	69	)	)	PUNCT
ejpam-5956	548	70	)	)	PUNCT
ejpam-5956	548	71	,	,	PUNCT
ejpam-5956	548	72	⟨ς	⟨ς	NOUN
ejpam-5956	548	73	,	,	PUNCT
ejpam-5956	548	74	κ	κ	NOUN
ejpam-5956	548	75	,	,	PUNCT
ejpam-5956	548	76	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	548	77	)	)	PUNCT
ejpam-5956	548	78	.	.	PUNCT
ejpam-5956	549	1	therefore	therefore	ADV
ejpam-5956	549	2	,	,	PUNCT
ejpam-5956	549	3	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	549	4	,	,	PUNCT
ejpam-5956	549	5	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	549	6	∈	∈	NOUN
ejpam-5956	549	7	intτ	intτ	ADV
ejpam-5956	549	8	(	(	PUNCT
ejpam-5956	549	9	fl(intσ(cl	fl(intσ(cl	NOUN
ejpam-5956	549	10	∗	∗	NOUN
ejpam-5956	549	11	(	(	PUNCT
ejpam-5956	549	12	q	q	NOUN
ejpam-5956	549	13	,	,	PUNCT
ejpam-5956	549	14	⟨ς	⟨ς	NOUN
ejpam-5956	549	15	,	,	PUNCT
ejpam-5956	549	16	κ	κ	NOUN
ejpam-5956	549	17	,	,	PUNCT
ejpam-5956	549	18	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	549	19	)	)	PUNCT
ejpam-5956	549	20	,	,	PUNCT
ejpam-5956	549	21	⟨ς	⟨ς	X
ejpam-5956	549	22	,	,	PUNCT
ejpam-5956	549	23	κ	κ	NOUN
ejpam-5956	549	24	,	,	PUNCT
ejpam-5956	549	25	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	549	26	)	)	PUNCT
ejpam-5956	549	27	)	)	PUNCT
ejpam-5956	549	28	,	,	PUNCT
ejpam-5956	549	29	⟨ς	⟨ς	NOUN
ejpam-5956	549	30	,	,	PUNCT
ejpam-5956	549	31	κ	κ	NOUN
ejpam-5956	549	32	,	,	PUNCT
ejpam-5956	549	33	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	549	34	)	)	PUNCT
ejpam-5956	549	35	⊆	⊆	NUM
ejpam-5956	549	36	fl(intσ(cl	fl(intσ(cl	NOUN
ejpam-5956	549	37	∗	∗	NOUN
ejpam-5956	549	38	(	(	PUNCT
ejpam-5956	549	39	q	q	NOUN
ejpam-5956	549	40	,	,	PUNCT
ejpam-5956	549	41	⟨ς	⟨ς	NOUN
ejpam-5956	549	42	,	,	PUNCT
ejpam-5956	549	43	κ	κ	NOUN
ejpam-5956	549	44	,	,	PUNCT
ejpam-5956	549	45	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	549	46	)	)	PUNCT
ejpam-5956	549	47	,	,	PUNCT
ejpam-5956	549	48	⟨ς	⟨ς	X
ejpam-5956	549	49	,	,	PUNCT
ejpam-5956	549	50	κ	κ	NOUN
ejpam-5956	549	51	,	,	PUNCT
ejpam-5956	549	52	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	549	53	)	)	PUNCT
ejpam-5956	549	54	)	)	PUNCT
ejpam-5956	549	55	.	.	PUNCT
ejpam-5956	550	1	thus	thus	ADV
ejpam-5956	550	2	,	,	PUNCT
ejpam-5956	550	3	f	f	PROPN
ejpam-5956	550	4	is	be	AUX
ejpam-5956	550	5	pf	pf	PROPN
ejpam-5956	550	6	la	la	ADV
ejpam-5956	550	7	ℓp	ℓp	ADJ
ejpam-5956	550	8	-continuous	-continuous	ADJ
ejpam-5956	550	9	.	.	PUNCT
ejpam-5956	551	1	the	the	DET
ejpam-5956	551	2	following	follow	VERB
ejpam-5956	551	3	theorem	theorem	NOUN
ejpam-5956	551	4	is	be	AUX
ejpam-5956	551	5	similarly	similarly	ADV
ejpam-5956	551	6	proved	prove	VERB
ejpam-5956	551	7	as	as	ADP
ejpam-5956	551	8	the	the	DET
ejpam-5956	551	9	proof	proof	NOUN
ejpam-5956	551	10	of	of	ADP
ejpam-5956	551	11	theorem	theorem	ADJ
ejpam-5956	551	12	3.5	3.5	NUM
ejpam-5956	551	13	.	.	PUNCT
ejpam-5956	552	1	theorem	theorem	VERB
ejpam-5956	552	2	3.6	3.6	NUM
ejpam-5956	552	3	.	.	PUNCT
ejpam-5956	553	1	for	for	ADP
ejpam-5956	553	2	a	a	DET
ejpam-5956	553	3	normalized	normalize	VERB
ejpam-5956	553	4	pfm	pfm	NOUN
ejpam-5956	553	5	f	f	NOUN
ejpam-5956	553	6	:	:	PUNCT
ejpam-5956	553	7	(	(	PUNCT
ejpam-5956	553	8	ξ	ξ	X
ejpam-5956	553	9	,	,	PUNCT
ejpam-5956	553	10	τ	τ	X
ejpam-5956	553	11	)	)	PUNCT
ejpam-5956	553	12	↬	↬	PROPN
ejpam-5956	553	13	(	(	PUNCT
ejpam-5956	553	14	υ	υ	PROPN
ejpam-5956	553	15	,	,	PUNCT
ejpam-5956	553	16	σ	σ	PROPN
ejpam-5956	553	17	,	,	PUNCT
ejpam-5956	553	18	ℓp	ℓp	NOUN
ejpam-5956	553	19	)	)	PUNCT
ejpam-5956	553	20	,	,	PUNCT
ejpam-5956	553	21	q	q	PROPN
ejpam-5956	553	22	∈	∈	PROPN
ejpam-5956	553	23	(	(	PUNCT
ejpam-5956	553	24	i3	i3	NOUN
ejpam-5956	553	25	)	)	PUNCT
ejpam-5956	553	26	υ	υ	NOUN
ejpam-5956	553	27	,	,	PUNCT
ejpam-5956	553	28	ς	ς	PROPN
ejpam-5956	553	29	∈	∈	PROPN
ejpam-5956	553	30	i0,κ	i0,κ	PROPN
ejpam-5956	553	31	∈	∈	PROPN
ejpam-5956	553	32	i1	i1	PROPN
ejpam-5956	553	33	and	and	CCONJ
ejpam-5956	553	34	ϑ	ϑ	PROPN
ejpam-5956	553	35	∈	∈	PROPN
ejpam-5956	553	36	i1	i1	PROPN
ejpam-5956	553	37	,	,	PUNCT
ejpam-5956	553	38	the	the	DET
ejpam-5956	553	39	following	following	ADJ
ejpam-5956	553	40	statements	statement	NOUN
ejpam-5956	553	41	are	be	AUX
ejpam-5956	553	42	equivalent	equivalent	ADJ
ejpam-5956	553	43	:	:	PUNCT
ejpam-5956	553	44	(	(	PUNCT
ejpam-5956	553	45	1	1	X
ejpam-5956	553	46	)	)	PUNCT
ejpam-5956	553	47	f	f	PROPN
ejpam-5956	553	48	is	be	AUX
ejpam-5956	553	49	pf	pf	PROPN
ejpam-5956	553	50	ua	ua	NOUN
ejpam-5956	553	51	ℓp	ℓp	ADJ
ejpam-5956	553	52	-continuous	-continuous	ADJ
ejpam-5956	553	53	.	.	PUNCT
ejpam-5956	554	1	(	(	PUNCT
ejpam-5956	554	2	2	2	X
ejpam-5956	554	3	)	)	PUNCT
ejpam-5956	554	4	fu	fu	NOUN
ejpam-5956	554	5	(	(	PUNCT
ejpam-5956	554	6	q	q	NOUN
ejpam-5956	554	7	)	)	PUNCT
ejpam-5956	554	8	⊆	⊆	NUM
ejpam-5956	554	9	intτ	intτ	ADV
ejpam-5956	554	10	(	(	PUNCT
ejpam-5956	554	11	fu(intσ(cl	fu(intσ(cl	NOUN
ejpam-5956	554	12	∗	∗	X
ejpam-5956	554	13	(	(	PUNCT
ejpam-5956	554	14	q	q	NOUN
ejpam-5956	554	15	,	,	PUNCT
ejpam-5956	554	16	⟨ς	⟨ς	NOUN
ejpam-5956	554	17	,	,	PUNCT
ejpam-5956	554	18	κ	κ	NOUN
ejpam-5956	554	19	,	,	PUNCT
ejpam-5956	554	20	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	554	21	)	)	PUNCT
ejpam-5956	554	22	,	,	PUNCT
ejpam-5956	554	23	⟨ς	⟨ς	X
ejpam-5956	554	24	,	,	PUNCT
ejpam-5956	554	25	κ	κ	NOUN
ejpam-5956	554	26	,	,	PUNCT
ejpam-5956	554	27	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	554	28	)	)	PUNCT
ejpam-5956	554	29	)	)	PUNCT
ejpam-5956	554	30	,	,	PUNCT
ejpam-5956	554	31	⟨ς	⟨ς	NOUN
ejpam-5956	554	32	,	,	PUNCT
ejpam-5956	554	33	κ	κ	NOUN
ejpam-5956	554	34	,	,	PUNCT
ejpam-5956	554	35	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	554	36	)	)	PUNCT
ejpam-5956	554	37	,	,	PUNCT
ejpam-5956	554	38	if	if	SCONJ
ejpam-5956	554	39	σ	σ	PROPN
ejpam-5956	554	40	(	(	PUNCT
ejpam-5956	554	41	q	q	NOUN
ejpam-5956	554	42	)	)	PUNCT
ejpam-5956	554	43	≥	≥	NOUN
ejpam-5956	554	44	⟨ς	⟨ς	NOUN
ejpam-5956	554	45	,	,	PUNCT
ejpam-5956	554	46	κ	κ	NOUN
ejpam-5956	554	47	,	,	PUNCT
ejpam-5956	554	48	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	554	49	.	.	PUNCT
ejpam-5956	555	1	(	(	PUNCT
ejpam-5956	555	2	3	3	X
ejpam-5956	555	3	)	)	PUNCT
ejpam-5956	555	4	clτ	clτ	NOUN
ejpam-5956	555	5	(	(	PUNCT
ejpam-5956	555	6	fl(clσ(int	fl(clσ(int	NOUN
ejpam-5956	555	7	∗	∗	NOUN
ejpam-5956	555	8	(	(	PUNCT
ejpam-5956	555	9	q	q	NOUN
ejpam-5956	555	10	,	,	PUNCT
ejpam-5956	555	11	⟨ς	⟨ς	NOUN
ejpam-5956	555	12	,	,	PUNCT
ejpam-5956	555	13	κ	κ	NOUN
ejpam-5956	555	14	,	,	PUNCT
ejpam-5956	555	15	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	555	16	)	)	PUNCT
ejpam-5956	555	17	,	,	PUNCT
ejpam-5956	555	18	⟨ς	⟨ς	X
ejpam-5956	555	19	,	,	PUNCT
ejpam-5956	555	20	κ	κ	NOUN
ejpam-5956	555	21	,	,	PUNCT
ejpam-5956	555	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	555	23	)	)	PUNCT
ejpam-5956	555	24	)	)	PUNCT
ejpam-5956	555	25	,	,	PUNCT
ejpam-5956	555	26	⟨ς	⟨ς	NOUN
ejpam-5956	555	27	,	,	PUNCT
ejpam-5956	555	28	κ	κ	NOUN
ejpam-5956	555	29	,	,	PUNCT
ejpam-5956	555	30	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	555	31	)	)	PUNCT
ejpam-5956	556	1	⊆	⊆	NUM
ejpam-5956	556	2	fl	fl	PROPN
ejpam-5956	556	3	(	(	PUNCT
ejpam-5956	556	4	q	q	NOUN
ejpam-5956	556	5	)	)	PUNCT
ejpam-5956	556	6	,	,	PUNCT
ejpam-5956	556	7	if	if	SCONJ
ejpam-5956	556	8	σ(ⅎ	σ(ⅎ	PROPN
ejpam-5956	556	9	q	q	X
ejpam-5956	556	10	)	)	PUNCT
ejpam-5956	556	11	≥	≥	NOUN
ejpam-5956	556	12	⟨ς	⟨ς	NOUN
ejpam-5956	556	13	,	,	PUNCT
ejpam-5956	556	14	κ	κ	NOUN
ejpam-5956	556	15	,	,	PUNCT
ejpam-5956	556	16	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	556	17	.	.	PUNCT
ejpam-5956	557	1	example	example	NOUN
ejpam-5956	557	2	3.3	3.3	NUM
ejpam-5956	557	3	.	.	PUNCT
ejpam-5956	558	1	let	let	VERB
ejpam-5956	558	2	ξ	ξ	X
ejpam-5956	558	3	=	=	SYM
ejpam-5956	558	4	{	{	PUNCT
ejpam-5956	558	5	ξ1	ξ1	NOUN
ejpam-5956	558	6	,	,	PUNCT
ejpam-5956	558	7	ξ2	ξ2	NOUN
ejpam-5956	558	8	}	}	PUNCT
ejpam-5956	558	9	,	,	PUNCT
ejpam-5956	558	10	υ	υ	NOUN
ejpam-5956	558	11	=	=	PRON
ejpam-5956	558	12	{	{	PUNCT
ejpam-5956	558	13	ζ1	ζ1	NOUN
ejpam-5956	558	14	,	,	PUNCT
ejpam-5956	558	15	ζ2	ζ2	NOUN
ejpam-5956	558	16	,	,	PUNCT
ejpam-5956	558	17	ζ3	ζ3	NOUN
ejpam-5956	558	18	}	}	PUNCT
ejpam-5956	558	19	and	and	CCONJ
ejpam-5956	558	20	f	f	NOUN
ejpam-5956	558	21	:	:	PUNCT
ejpam-5956	558	22	ξ	ξ	X
ejpam-5956	558	23	↬	↬	PROPN
ejpam-5956	558	24	υ	υ	PART
ejpam-5956	558	25	be	be	AUX
ejpam-5956	558	26	a	a	DET
ejpam-5956	558	27	pfm	pfm	NOUN
ejpam-5956	558	28	defined	define	VERB
ejpam-5956	558	29	by	by	ADP
ejpam-5956	558	30	ψf(ξ1	ψf(ξ1	NOUN
ejpam-5956	558	31	,	,	PUNCT
ejpam-5956	558	32	ζ1	ζ1	NOUN
ejpam-5956	558	33	)	)	PUNCT
ejpam-5956	559	1	=	=	SYM
ejpam-5956	559	2	⟨1	⟨1	PROPN
ejpam-5956	559	3	,	,	PUNCT
ejpam-5956	559	4	0	0	NUM
ejpam-5956	559	5	,	,	PUNCT
ejpam-5956	559	6	0⟩	0⟩	PROPN
ejpam-5956	559	7	,	,	PUNCT
ejpam-5956	559	8	ψf(ξ1	ψf(ξ1	NOUN
ejpam-5956	559	9	,	,	PUNCT
ejpam-5956	559	10	ζ2	ζ2	NOUN
ejpam-5956	559	11	)	)	PUNCT
ejpam-5956	559	12	=	=	SYM
ejpam-5956	559	13	⟨0.1	⟨0.1	PROPN
ejpam-5956	559	14	,	,	PUNCT
ejpam-5956	559	15	0.2	0.2	NUM
ejpam-5956	559	16	,	,	PUNCT
ejpam-5956	559	17	0.7⟩	0.7⟩	NOUN
ejpam-5956	559	18	,	,	PUNCT
ejpam-5956	559	19	ψf(ξ1	ψf(ξ1	NOUN
ejpam-5956	559	20	,	,	PUNCT
ejpam-5956	559	21	ζ3	ζ3	NOUN
ejpam-5956	559	22	)	)	PUNCT
ejpam-5956	559	23	=	=	SYM
ejpam-5956	560	1	⟨0.3	⟨0.3	PROPN
ejpam-5956	560	2	,	,	PUNCT
ejpam-5956	560	3	0.2	0.2	NUM
ejpam-5956	560	4	,	,	PUNCT
ejpam-5956	560	5	0.4⟩	0.4⟩	NUM
ejpam-5956	560	6	,	,	PUNCT
ejpam-5956	560	7	ψf(ξ2	ψf(ξ2	NOUN
ejpam-5956	560	8	,	,	PUNCT
ejpam-5956	560	9	ζ1	ζ1	NOUN
ejpam-5956	560	10	)	)	PUNCT
ejpam-5956	560	11	=	=	SYM
ejpam-5956	561	1	⟨0.33	⟨0.33	PROPN
ejpam-5956	561	2	,	,	PUNCT
ejpam-5956	561	3	0.3	0.3	NUM
ejpam-5956	561	4	,	,	PUNCT
ejpam-5956	561	5	0.33⟩	0.33⟩	PROPN
ejpam-5956	561	6	,	,	PUNCT
ejpam-5956	561	7	ψf(ξ2	ψf(ξ2	NOUN
ejpam-5956	561	8	,	,	PUNCT
ejpam-5956	561	9	ζ2	ζ2	NOUN
ejpam-5956	561	10	)	)	PUNCT
ejpam-5956	561	11	=	=	SYM
ejpam-5956	561	12	⟨1	⟨1	PROPN
ejpam-5956	561	13	,	,	PUNCT
ejpam-5956	561	14	0	0	NUM
ejpam-5956	561	15	,	,	PUNCT
ejpam-5956	561	16	0⟩	0⟩	PROPN
ejpam-5956	561	17	,	,	PUNCT
ejpam-5956	561	18	ψf(ξ2	ψf(ξ2	NOUN
ejpam-5956	561	19	,	,	PUNCT
ejpam-5956	561	20	ζ3	ζ3	NOUN
ejpam-5956	561	21	)	)	PUNCT
ejpam-5956	561	22	=	=	SYM
ejpam-5956	562	1	⟨0.4	⟨0.4	PROPN
ejpam-5956	562	2	,	,	PUNCT
ejpam-5956	562	3	0.2	0.2	NUM
ejpam-5956	562	4	,	,	PUNCT
ejpam-5956	562	5	0.4⟩.	0.4⟩.	PROPN
ejpam-5956	562	6	for	for	ADP
ejpam-5956	562	7	k1	k1	NOUN
ejpam-5956	562	8	=	=	SYM
ejpam-5956	562	9	{	{	PUNCT
ejpam-5956	562	10	⟨ξ	⟨ξ	NOUN
ejpam-5956	562	11	,	,	PUNCT
ejpam-5956	562	12	0.4	0.4	NUM
ejpam-5956	562	13	,	,	PUNCT
ejpam-5956	562	14	0.4	0.4	NUM
ejpam-5956	562	15	,	,	PUNCT
ejpam-5956	562	16	0.2⟩	0.2⟩	PUNCT
ejpam-5956	562	17	|	|	NOUN
ejpam-5956	562	18	ξ	ξ	PROPN
ejpam-5956	562	19	∈	∈	PROPN
ejpam-5956	562	20	ξ	ξ	PROPN
ejpam-5956	562	21	}	}	PUNCT
ejpam-5956	562	22	,	,	PUNCT
ejpam-5956	562	23	k2	k2	NOUN
ejpam-5956	562	24	=	=	SYM
ejpam-5956	562	25	{	{	PUNCT
ejpam-5956	562	26	⟨ξ	⟨ξ	NOUN
ejpam-5956	562	27	,	,	PUNCT
ejpam-5956	562	28	0.32	0.32	NUM
ejpam-5956	562	29	,	,	PUNCT
ejpam-5956	562	30	0.3	0.3	NUM
ejpam-5956	562	31	,	,	PUNCT
ejpam-5956	562	32	0⟩	0⟩	PROPN
ejpam-5956	562	33	|	|	NOUN
ejpam-5956	562	34	ξ	ξ	X
ejpam-5956	562	35	∈	∈	PROPN
ejpam-5956	562	36	ξ	ξ	PROPN
ejpam-5956	562	37	}	}	PUNCT
ejpam-5956	562	38	and	and	CCONJ
ejpam-5956	562	39	q1	q1	PROPN
ejpam-5956	562	40	=	=	PUNCT
ejpam-5956	562	41	{	{	PUNCT
ejpam-5956	562	42	⟨ζ	⟨ζ	NOUN
ejpam-5956	562	43	,	,	PUNCT
ejpam-5956	562	44	0.32	0.32	NUM
ejpam-5956	562	45	,	,	PUNCT
ejpam-5956	562	46	0.3	0.3	NUM
ejpam-5956	562	47	,	,	PUNCT
ejpam-5956	562	48	0.33⟩	0.33⟩	X
ejpam-5956	563	1	|	|	ADV
ejpam-5956	563	2	ζ	ζ	NOUN
ejpam-5956	563	3	∈	∈	ADJ
ejpam-5956	563	4	υ	υ	AUX
ejpam-5956	563	5	}	}	PUNCT
ejpam-5956	563	6	define	define	VERB
ejpam-5956	563	7	picture	picture	NOUN
ejpam-5956	563	8	fuzzy	fuzzy	ADJ
ejpam-5956	563	9	topologies	topology	NOUN
ejpam-5956	563	10	τ	τ	X
ejpam-5956	563	11	:	:	PUNCT
ejpam-5956	563	12	(	(	PUNCT
ejpam-5956	563	13	i3	i3	NOUN
ejpam-5956	563	14	)	)	PUNCT
ejpam-5956	563	15	ξ	ξ	PROPN
ejpam-5956	563	16	→	→	SYM
ejpam-5956	563	17	i3	i3	NOUN
ejpam-5956	563	18	,	,	PUNCT
ejpam-5956	563	19	σ	σ	NOUN
ejpam-5956	563	20	:(	:(	X
ejpam-5956	563	21	i3	i3	NOUN
ejpam-5956	563	22	)	)	PUNCT
ejpam-5956	563	23	υ	υ	NOUN
ejpam-5956	563	24	→	→	SYM
ejpam-5956	563	25	i3	i3	NOUN
ejpam-5956	563	26	,	,	PUNCT
ejpam-5956	563	27	and	and	CCONJ
ejpam-5956	563	28	picture	picture	NOUN
ejpam-5956	563	29	fuzzy	fuzzy	ADJ
ejpam-5956	563	30	ideal	ideal	ADJ
ejpam-5956	563	31	ℓp	ℓp	NOUN
ejpam-5956	563	32	:	:	PUNCT
ejpam-5956	563	33	(	(	PUNCT
ejpam-5956	563	34	i3	i3	NOUN
ejpam-5956	563	35	)	)	PUNCT
ejpam-5956	563	36	υ	υ	NOUN
ejpam-5956	563	37	→	→	PUNCT
ejpam-5956	563	38	i3	i3	NOUN
ejpam-5956	563	39	as	as	SCONJ
ejpam-5956	563	40	follows	follow	VERB
ejpam-5956	563	41	:	:	PUNCT
ejpam-5956	564	1	dali	dali	PROPN
ejpam-5956	564	2	shi	shi	PROPN
ejpam-5956	564	3	et	et	PROPN
ejpam-5956	564	4	al	al	PROPN
ejpam-5956	564	5	.	.	PUNCT
ejpam-5956	564	6	/	/	SYM
ejpam-5956	564	7	eur	eur	PROPN
ejpam-5956	564	8	.	.	PUNCT
ejpam-5956	565	1	j.	j.	PROPN
ejpam-5956	565	2	pure	pure	PROPN
ejpam-5956	565	3	appl	appl	PROPN
ejpam-5956	565	4	.	.	PROPN
ejpam-5956	565	5	math	math	PROPN
ejpam-5956	565	6	,	,	PUNCT
ejpam-5956	565	7	18	18	NUM
ejpam-5956	565	8	(	(	PUNCT
ejpam-5956	565	9	2	2	NUM
ejpam-5956	565	10	)	)	PUNCT
ejpam-5956	565	11	(	(	PUNCT
ejpam-5956	565	12	2025	2025	NUM
ejpam-5956	565	13	)	)	PUNCT
ejpam-5956	565	14	,	,	PUNCT
ejpam-5956	565	15	5956	5956	NUM
ejpam-5956	565	16	19	19	NUM
ejpam-5956	565	17	of	of	ADP
ejpam-5956	565	18	30	30	NUM
ejpam-5956	565	19	τ(k	τ(k	NOUN
ejpam-5956	565	20	)	)	PUNCT
ejpam-5956	565	21	=	=	SYM
ejpam-5956	565	22			NUM
ejpam-5956	565	23	⟨1	⟨1	PROPN
ejpam-5956	565	24	,	,	PUNCT
ejpam-5956	565	25	0	0	NUM
ejpam-5956	565	26	,	,	PUNCT
ejpam-5956	565	27	0⟩	0⟩	PROPN
ejpam-5956	565	28	if	if	SCONJ
ejpam-5956	565	29	k	k	PROPN
ejpam-5956	565	30	∈	∈	PROPN
ejpam-5956	565	31	{	{	PUNCT
ejpam-5956	565	32	♭	♭	PROPN
ejpam-5956	565	33	,	,	PUNCT
ejpam-5956	565	34	♯	♯	PROPN
ejpam-5956	565	35	}	}	PUNCT
ejpam-5956	565	36	,	,	PUNCT
ejpam-5956	565	37	⟨0.55	⟨0.55	PROPN
ejpam-5956	565	38	,	,	PUNCT
ejpam-5956	565	39	0.1	0.1	NUM
ejpam-5956	565	40	,	,	PUNCT
ejpam-5956	565	41	0.11⟩	0.11⟩	NOUN
ejpam-5956	565	42	if	if	SCONJ
ejpam-5956	565	43	k	k	PROPN
ejpam-5956	565	44	=	=	SYM
ejpam-5956	565	45	k1	k1	PROPN
ejpam-5956	565	46	,	,	PUNCT
ejpam-5956	565	47	⟨0	⟨0	PROPN
ejpam-5956	565	48	,	,	PUNCT
ejpam-5956	565	49	1	1	NUM
ejpam-5956	565	50	,	,	PUNCT
ejpam-5956	565	51	0⟩	0⟩	PROPN
ejpam-5956	565	52	otherwise	otherwise	ADV
ejpam-5956	565	53	,	,	PUNCT
ejpam-5956	565	54	,	,	PUNCT
ejpam-5956	565	55	σ	σ	PROPN
ejpam-5956	565	56	(	(	PUNCT
ejpam-5956	565	57	q	q	PROPN
ejpam-5956	565	58	)	)	PUNCT
ejpam-5956	565	59	=	=	SYM
ejpam-5956	565	60			NUM
ejpam-5956	565	61	⟨1	⟨1	PROPN
ejpam-5956	565	62	,	,	PUNCT
ejpam-5956	565	63	0	0	NUM
ejpam-5956	565	64	,	,	PUNCT
ejpam-5956	565	65	0⟩	0⟩	PROPN
ejpam-5956	565	66	if	if	SCONJ
ejpam-5956	565	67	q	q	X
ejpam-5956	565	68	∈	∈	PROPN
ejpam-5956	565	69	{	{	PUNCT
ejpam-5956	565	70	♭	♭	PROPN
ejpam-5956	565	71	,	,	PUNCT
ejpam-5956	565	72	♯	♯	PROPN
ejpam-5956	565	73	}	}	PUNCT
ejpam-5956	565	74	,	,	PUNCT
ejpam-5956	565	75	⟨0.32	⟨0.32	PROPN
ejpam-5956	565	76	,	,	PUNCT
ejpam-5956	565	77	0.3	0.3	NUM
ejpam-5956	565	78	,	,	PUNCT
ejpam-5956	565	79	0.33⟩	0.33⟩	X
ejpam-5956	566	1	if	if	SCONJ
ejpam-5956	566	2	q	q	PROPN
ejpam-5956	566	3	=	=	SYM
ejpam-5956	566	4	q1	q1	PROPN
ejpam-5956	566	5	,	,	PUNCT
ejpam-5956	566	6	⟨0	⟨0	PROPN
ejpam-5956	566	7	,	,	PUNCT
ejpam-5956	566	8	1	1	NUM
ejpam-5956	566	9	,	,	PUNCT
ejpam-5956	566	10	0⟩	0⟩	PROPN
ejpam-5956	566	11	otherwise	otherwise	ADV
ejpam-5956	566	12	,	,	PUNCT
ejpam-5956	566	13	ℓp	ℓp	NOUN
ejpam-5956	566	14	(	(	PUNCT
ejpam-5956	566	15	q	q	NOUN
ejpam-5956	566	16	)	)	PUNCT
ejpam-5956	566	17	=	=	PUNCT
ejpam-5956	567	1			PROPN
ejpam-5956	567	2	⟨1	⟨1	PROPN
ejpam-5956	567	3	,	,	PUNCT
ejpam-5956	567	4	0	0	NUM
ejpam-5956	567	5	,	,	PUNCT
ejpam-5956	567	6	0⟩	0⟩	PROPN
ejpam-5956	567	7	if	if	SCONJ
ejpam-5956	567	8	q	q	X
ejpam-5956	567	9	=	=	SYM
ejpam-5956	567	10	♭	♭	PROPN
ejpam-5956	567	11	,	,	PUNCT
ejpam-5956	567	12	⟨0.44	⟨0.44	PROPN
ejpam-5956	567	13	,	,	PUNCT
ejpam-5956	567	14	0.2	0.2	NUM
ejpam-5956	567	15	,	,	PUNCT
ejpam-5956	567	16	0.3⟩	0.3⟩	ADJ
ejpam-5956	567	17	if	if	SCONJ
ejpam-5956	567	18	♭	♭	PROPN
ejpam-5956	567	19	⊆	⊆	NUM
ejpam-5956	567	20	q	q	SYM
ejpam-5956	567	21	⊆	⊆	NUM
ejpam-5956	567	22	{	{	PUNCT
ejpam-5956	567	23	⟨ζ	⟨ζ	NUM
ejpam-5956	567	24	,	,	PUNCT
ejpam-5956	567	25	0.2	0.2	NUM
ejpam-5956	567	26	,	,	PUNCT
ejpam-5956	567	27	0.2	0.2	NUM
ejpam-5956	567	28	,	,	PUNCT
ejpam-5956	567	29	0.4⟩	0.4⟩	PUNCT
ejpam-5956	567	30	|ζ	|ζ	PROPN
ejpam-5956	567	31	∈	∈	PROPN
ejpam-5956	567	32	υ	υ	PROPN
ejpam-5956	567	33	}	}	PUNCT
ejpam-5956	567	34	,	,	PUNCT
ejpam-5956	567	35	⟨0	⟨0	PROPN
ejpam-5956	567	36	,	,	PUNCT
ejpam-5956	567	37	1	1	NUM
ejpam-5956	567	38	,	,	PUNCT
ejpam-5956	567	39	0⟩	0⟩	PROPN
ejpam-5956	567	40	otherwise	otherwise	ADV
ejpam-5956	567	41	.	.	PUNCT
ejpam-5956	568	1	then	then	ADV
ejpam-5956	568	2	,	,	PUNCT
ejpam-5956	568	3	f	f	X
ejpam-5956	568	4	:	:	PUNCT
ejpam-5956	568	5	(	(	PUNCT
ejpam-5956	568	6	ξ	ξ	X
ejpam-5956	568	7	,	,	PUNCT
ejpam-5956	568	8	τ	τ	X
ejpam-5956	568	9	)	)	PUNCT
ejpam-5956	568	10	↬	↬	PROPN
ejpam-5956	568	11	(	(	PUNCT
ejpam-5956	568	12	υ	υ	PROPN
ejpam-5956	568	13	,	,	PUNCT
ejpam-5956	568	14	σ	σ	PROPN
ejpam-5956	568	15	,	,	PUNCT
ejpam-5956	568	16	ℓp	ℓp	ADJ
ejpam-5956	568	17	)	)	PUNCT
ejpam-5956	568	18	is	be	AUX
ejpam-5956	568	19	pf	pf	PROPN
ejpam-5956	568	20	us	us	PROPN
ejpam-5956	568	21	(	(	PUNCT
ejpam-5956	568	22	resp	resp	NOUN
ejpam-5956	568	23	.	.	PUNCT
ejpam-5956	569	1	pf	pf	PROPN
ejpam-5956	569	2	ls	ls	PROPN
ejpam-5956	569	3	)	)	PUNCT
ejpam-5956	569	4	ℓp	ℓp	NOUN
ejpam-5956	569	5	-continuous	-continuous	ADJ
ejpam-5956	569	6	but	but	CCONJ
ejpam-5956	569	7	is	be	AUX
ejpam-5956	569	8	not	not	PART
ejpam-5956	569	9	pf	pf	PROPN
ejpam-5956	569	10	us	us	PROPN
ejpam-5956	569	11	(	(	PUNCT
ejpam-5956	569	12	resp	resp	NOUN
ejpam-5956	569	13	.	.	PUNCT
ejpam-5956	570	1	pf	pf	PROPN
ejpam-5956	570	2	ls)-continuous	ls)-continuous	ADJ
ejpam-5956	570	3	because	because	SCONJ
ejpam-5956	570	4	k2	k2	PROPN
ejpam-5956	570	5	=	=	SYM
ejpam-5956	570	6	fu	fu	PROPN
ejpam-5956	570	7	(	(	PUNCT
ejpam-5956	570	8	q1	q1	PROPN
ejpam-5956	570	9	)	)	PUNCT
ejpam-5956	570	10	⊆	⊆	NUM
ejpam-5956	570	11	intτ	intτ	ADV
ejpam-5956	570	12	(	(	PUNCT
ejpam-5956	570	13	fu(intσ(cl	fu(intσ(cl	PROPN
ejpam-5956	570	14	∗	∗	NOUN
ejpam-5956	570	15	(	(	PUNCT
ejpam-5956	570	16	q1	q1	PROPN
ejpam-5956	570	17	,	,	PUNCT
ejpam-5956	570	18	⟨0.32	⟨0.32	PROPN
ejpam-5956	570	19	,	,	PUNCT
ejpam-5956	570	20	0.3	0.3	NUM
ejpam-5956	570	21	,	,	PUNCT
ejpam-5956	570	22	0.33⟩	0.33⟩	PROPN
ejpam-5956	570	23	)	)	PUNCT
ejpam-5956	570	24	,	,	PUNCT
ejpam-5956	570	25	⟨0.32	⟨0.32	PROPN
ejpam-5956	570	26	,	,	PUNCT
ejpam-5956	570	27	0.3	0.3	NUM
ejpam-5956	570	28	,	,	PUNCT
ejpam-5956	570	29	0.33⟩	0.33⟩	PROPN
ejpam-5956	570	30	)	)	PUNCT
ejpam-5956	570	31	)	)	PUNCT
ejpam-5956	570	32	,	,	PUNCT
ejpam-5956	570	33	⟨0.32	⟨0.32	PROPN
ejpam-5956	570	34	,	,	PUNCT
ejpam-5956	570	35	0.3	0.3	NUM
ejpam-5956	570	36	,	,	PUNCT
ejpam-5956	570	37	0.33⟩	0.33⟩	PROPN
ejpam-5956	570	38	)	)	PUNCT
ejpam-5956	570	39	=	=	SYM
ejpam-5956	570	40	♯	♯	PROPN
ejpam-5956	570	41	,	,	PUNCT
ejpam-5956	570	42	k2	k2	NOUN
ejpam-5956	570	43	=	=	SYM
ejpam-5956	570	44	fl	fl	PROPN
ejpam-5956	570	45	(	(	PUNCT
ejpam-5956	570	46	q1	q1	PROPN
ejpam-5956	570	47	)	)	PUNCT
ejpam-5956	570	48	⊆	⊆	NUM
ejpam-5956	570	49	intτ	intτ	ADV
ejpam-5956	570	50	(	(	PUNCT
ejpam-5956	570	51	fl(intσ(cl	fl(intσ(cl	NOUN
ejpam-5956	570	52	∗	∗	NOUN
ejpam-5956	570	53	(	(	PUNCT
ejpam-5956	570	54	q1	q1	PROPN
ejpam-5956	570	55	,	,	PUNCT
ejpam-5956	570	56	⟨0.32	⟨0.32	PROPN
ejpam-5956	570	57	,	,	PUNCT
ejpam-5956	570	58	0.3	0.3	NUM
ejpam-5956	570	59	,	,	PUNCT
ejpam-5956	570	60	0.33⟩	0.33⟩	PROPN
ejpam-5956	570	61	)	)	PUNCT
ejpam-5956	570	62	,	,	PUNCT
ejpam-5956	570	63	⟨0.32	⟨0.32	PROPN
ejpam-5956	570	64	,	,	PUNCT
ejpam-5956	570	65	0.3	0.3	NUM
ejpam-5956	570	66	,	,	PUNCT
ejpam-5956	570	67	0.33⟩	0.33⟩	PROPN
ejpam-5956	570	68	)	)	PUNCT
ejpam-5956	570	69	)	)	PUNCT
ejpam-5956	570	70	,	,	PUNCT
ejpam-5956	570	71	⟨0.32	⟨0.32	PROPN
ejpam-5956	570	72	,	,	PUNCT
ejpam-5956	570	73	0.3	0.3	NUM
ejpam-5956	570	74	,	,	PUNCT
ejpam-5956	570	75	0.33⟩	0.33⟩	PROPN
ejpam-5956	570	76	)	)	PUNCT
ejpam-5956	570	77	=	=	SYM
ejpam-5956	570	78	♯.	♯.	PROPN
ejpam-5956	570	79	but	but	CCONJ
ejpam-5956	570	80	k2	k2	PROPN
ejpam-5956	570	81	=	=	PUNCT
ejpam-5956	570	82	fu	fu	PROPN
ejpam-5956	570	83	(	(	PUNCT
ejpam-5956	570	84	q1	q1	PROPN
ejpam-5956	570	85	)	)	PUNCT
ejpam-5956	570	86	⊈	⊈	VERB
ejpam-5956	570	87	intτ	intτ	ADV
ejpam-5956	570	88	(	(	PUNCT
ejpam-5956	570	89	fu	fu	PROPN
ejpam-5956	570	90	(	(	PUNCT
ejpam-5956	570	91	q1	q1	PROPN
ejpam-5956	570	92	)	)	PUNCT
ejpam-5956	570	93	,	,	PUNCT
ejpam-5956	570	94	⟨0.32	⟨0.32	PROPN
ejpam-5956	570	95	,	,	PUNCT
ejpam-5956	570	96	0.3	0.3	NUM
ejpam-5956	570	97	,	,	PUNCT
ejpam-5956	570	98	0.33⟩	0.33⟩	PROPN
ejpam-5956	570	99	)	)	PUNCT
ejpam-5956	570	100	=	=	SYM
ejpam-5956	570	101	♭	♭	PROPN
ejpam-5956	570	102	,	,	PUNCT
ejpam-5956	570	103	k2	k2	PROPN
ejpam-5956	570	104	=	=	SYM
ejpam-5956	570	105	fl	fl	PROPN
ejpam-5956	570	106	(	(	PUNCT
ejpam-5956	570	107	q1	q1	PROPN
ejpam-5956	570	108	)	)	PUNCT
ejpam-5956	570	109	⊈	⊈	VERB
ejpam-5956	570	110	intτ	intτ	ADV
ejpam-5956	570	111	(	(	PUNCT
ejpam-5956	570	112	fl	fl	PROPN
ejpam-5956	570	113	(	(	PUNCT
ejpam-5956	570	114	q1	q1	PROPN
ejpam-5956	570	115	)	)	PUNCT
ejpam-5956	570	116	,	,	PUNCT
ejpam-5956	570	117	⟨0.32	⟨0.32	PROPN
ejpam-5956	570	118	,	,	PUNCT
ejpam-5956	570	119	0.3	0.3	NUM
ejpam-5956	570	120	,	,	PUNCT
ejpam-5956	570	121	0.33⟩	0.33⟩	X
ejpam-5956	570	122	)	)	PUNCT
ejpam-5956	571	1	=	=	PUNCT
ejpam-5956	571	2	♭	♭	PROPN
ejpam-5956	571	3	.	.	PUNCT
ejpam-5956	571	4	example	example	NOUN
ejpam-5956	571	5	3.4	3.4	NUM
ejpam-5956	571	6	.	.	PUNCT
ejpam-5956	572	1	let	let	VERB
ejpam-5956	572	2	ξ	ξ	X
ejpam-5956	572	3	=	=	SYM
ejpam-5956	572	4	{	{	PUNCT
ejpam-5956	572	5	ξ1	ξ1	NOUN
ejpam-5956	572	6	,	,	PUNCT
ejpam-5956	572	7	ξ2	ξ2	NOUN
ejpam-5956	572	8	}	}	PUNCT
ejpam-5956	572	9	,	,	PUNCT
ejpam-5956	572	10	υ	υ	NOUN
ejpam-5956	572	11	=	=	PRON
ejpam-5956	572	12	{	{	PUNCT
ejpam-5956	572	13	ζ1	ζ1	NOUN
ejpam-5956	572	14	,	,	PUNCT
ejpam-5956	572	15	ζ2	ζ2	NOUN
ejpam-5956	572	16	,	,	PUNCT
ejpam-5956	572	17	ζ3	ζ3	NOUN
ejpam-5956	572	18	}	}	PUNCT
ejpam-5956	572	19	and	and	CCONJ
ejpam-5956	572	20	f	f	NOUN
ejpam-5956	572	21	:	:	PUNCT
ejpam-5956	572	22	ξ	ξ	X
ejpam-5956	572	23	↬	↬	PROPN
ejpam-5956	572	24	υ	υ	PART
ejpam-5956	572	25	be	be	AUX
ejpam-5956	572	26	a	a	DET
ejpam-5956	572	27	pfm	pfm	NOUN
ejpam-5956	572	28	defined	define	VERB
ejpam-5956	572	29	by	by	ADP
ejpam-5956	572	30	ψf(ξ1	ψf(ξ1	NOUN
ejpam-5956	572	31	,	,	PUNCT
ejpam-5956	572	32	ζ1	ζ1	NOUN
ejpam-5956	572	33	)	)	PUNCT
ejpam-5956	573	1	=	=	SYM
ejpam-5956	573	2	⟨1	⟨1	PROPN
ejpam-5956	573	3	,	,	PUNCT
ejpam-5956	573	4	0	0	NUM
ejpam-5956	573	5	,	,	PUNCT
ejpam-5956	573	6	0⟩	0⟩	PROPN
ejpam-5956	573	7	,	,	PUNCT
ejpam-5956	573	8	ψf(ξ1	ψf(ξ1	NOUN
ejpam-5956	573	9	,	,	PUNCT
ejpam-5956	573	10	ζ2	ζ2	NOUN
ejpam-5956	573	11	)	)	PUNCT
ejpam-5956	573	12	=	=	SYM
ejpam-5956	574	1	⟨0.2	⟨0.2	PROPN
ejpam-5956	574	2	,	,	PUNCT
ejpam-5956	574	3	0.6	0.6	NUM
ejpam-5956	574	4	,	,	PUNCT
ejpam-5956	574	5	0.2⟩	0.2⟩	NUM
ejpam-5956	574	6	,	,	PUNCT
ejpam-5956	574	7	ψf(ξ1	ψf(ξ1	NOUN
ejpam-5956	574	8	,	,	PUNCT
ejpam-5956	574	9	ζ3	ζ3	NOUN
ejpam-5956	574	10	)	)	PUNCT
ejpam-5956	574	11	=	=	SYM
ejpam-5956	575	1	⟨0.25	⟨0.25	NOUN
ejpam-5956	575	2	,	,	PUNCT
ejpam-5956	575	3	0.3	0.3	NUM
ejpam-5956	575	4	,	,	PUNCT
ejpam-5956	575	5	0.4⟩	0.4⟩	NUM
ejpam-5956	575	6	,	,	PUNCT
ejpam-5956	575	7	ψf(ξ2	ψf(ξ2	NOUN
ejpam-5956	575	8	,	,	PUNCT
ejpam-5956	575	9	ζ1	ζ1	NOUN
ejpam-5956	575	10	)	)	PUNCT
ejpam-5956	575	11	=	=	SYM
ejpam-5956	575	12	⟨0.32	⟨0.32	PROPN
ejpam-5956	575	13	,	,	PUNCT
ejpam-5956	575	14	0.31	0.31	NUM
ejpam-5956	575	15	,	,	PUNCT
ejpam-5956	575	16	0.15⟩	0.15⟩	PROPN
ejpam-5956	575	17	,	,	PUNCT
ejpam-5956	575	18	ψf(ξ2	ψf(ξ2	NOUN
ejpam-5956	575	19	,	,	PUNCT
ejpam-5956	575	20	ζ2	ζ2	NOUN
ejpam-5956	575	21	)	)	PUNCT
ejpam-5956	575	22	=	=	SYM
ejpam-5956	576	1	⟨0.2	⟨0.2	PROPN
ejpam-5956	576	2	,	,	PUNCT
ejpam-5956	576	3	0.2	0.2	NUM
ejpam-5956	576	4	,	,	PUNCT
ejpam-5956	576	5	0.3⟩	0.3⟩	NUM
ejpam-5956	576	6	,	,	PUNCT
ejpam-5956	576	7	ψf(ξ2	ψf(ξ2	NOUN
ejpam-5956	576	8	,	,	PUNCT
ejpam-5956	576	9	ζ3	ζ3	NOUN
ejpam-5956	576	10	)	)	PUNCT
ejpam-5956	576	11	=	=	SYM
ejpam-5956	577	1	⟨1	⟨1	PROPN
ejpam-5956	577	2	,	,	PUNCT
ejpam-5956	577	3	0	0	NUM
ejpam-5956	577	4	,	,	PUNCT
ejpam-5956	577	5	0⟩.	0⟩.	PROPN
ejpam-5956	577	6	for	for	ADP
ejpam-5956	577	7	k1	k1	PROPN
ejpam-5956	577	8	=	=	SYM
ejpam-5956	577	9	{	{	PUNCT
ejpam-5956	577	10	⟨ξ	⟨ξ	NOUN
ejpam-5956	577	11	,	,	PUNCT
ejpam-5956	577	12	0.1	0.1	NUM
ejpam-5956	577	13	,	,	PUNCT
ejpam-5956	577	14	0.35	0.35	NUM
ejpam-5956	577	15	,	,	PUNCT
ejpam-5956	577	16	0.31⟩	0.31⟩	NUM
ejpam-5956	578	1	|	|	NOUN
ejpam-5956	578	2	ξ	ξ	PROPN
ejpam-5956	578	3	∈	∈	PROPN
ejpam-5956	578	4	ξ	ξ	PROPN
ejpam-5956	578	5	}	}	PUNCT
ejpam-5956	578	6	,	,	PUNCT
ejpam-5956	578	7	k2	k2	NOUN
ejpam-5956	578	8	=	=	SYM
ejpam-5956	578	9	{	{	PUNCT
ejpam-5956	578	10	⟨ξ	⟨ξ	NOUN
ejpam-5956	578	11	,	,	PUNCT
ejpam-5956	578	12	0.1	0.1	NUM
ejpam-5956	578	13	,	,	PUNCT
ejpam-5956	578	14	0.45	0.45	NUM
ejpam-5956	578	15	,	,	PUNCT
ejpam-5956	578	16	0.31⟩	0.31⟩	NUM
ejpam-5956	579	1	|	|	NOUN
ejpam-5956	579	2	ξ	ξ	PROPN
ejpam-5956	579	3	∈	∈	PROPN
ejpam-5956	579	4	ξ	ξ	NOUN
ejpam-5956	579	5	}	}	PUNCT
ejpam-5956	579	6	,	,	PUNCT
ejpam-5956	579	7	q1	q1	PROPN
ejpam-5956	579	8	=	=	PUNCT
ejpam-5956	579	9	{	{	PUNCT
ejpam-5956	579	10	⟨ζ	⟨ζ	NOUN
ejpam-5956	579	11	,	,	PUNCT
ejpam-5956	579	12	0.05	0.05	NUM
ejpam-5956	579	13	,	,	PUNCT
ejpam-5956	579	14	0.36	0.36	NUM
ejpam-5956	579	15	,	,	PUNCT
ejpam-5956	579	16	0.51⟩	0.51⟩	NOUN
ejpam-5956	580	1	|	|	ADV
ejpam-5956	580	2	ζ	ζ	NOUN
ejpam-5956	580	3	∈	∈	ADJ
ejpam-5956	580	4	υ	υ	NOUN
ejpam-5956	580	5	}	}	PUNCT
ejpam-5956	580	6	,	,	PUNCT
ejpam-5956	580	7	q2	q2	NOUN
ejpam-5956	580	8	=	=	PUNCT
ejpam-5956	580	9	{	{	PUNCT
ejpam-5956	580	10	⟨ζ	⟨ζ	NOUN
ejpam-5956	580	11	,	,	PUNCT
ejpam-5956	580	12	0.1	0.1	NUM
ejpam-5956	580	13	,	,	PUNCT
ejpam-5956	580	14	0.35	0.35	NUM
ejpam-5956	580	15	,	,	PUNCT
ejpam-5956	580	16	0.51⟩	0.51⟩	NUM
ejpam-5956	581	1	|	|	ADV
ejpam-5956	581	2	ζ	ζ	NOUN
ejpam-5956	581	3	∈	∈	ADJ
ejpam-5956	581	4	υ	υ	NOUN
ejpam-5956	581	5	}	}	PUNCT
ejpam-5956	581	6	,	,	PUNCT
ejpam-5956	581	7	q3	q3	NOUN
ejpam-5956	581	8	=	=	PUNCT
ejpam-5956	581	9	{	{	PUNCT
ejpam-5956	581	10	⟨ζ	⟨ζ	NOUN
ejpam-5956	581	11	,	,	PUNCT
ejpam-5956	581	12	0.05	0.05	NUM
ejpam-5956	581	13	,	,	PUNCT
ejpam-5956	581	14	0.36	0.36	NUM
ejpam-5956	581	15	,	,	PUNCT
ejpam-5956	581	16	0⟩	0⟩	PROPN
ejpam-5956	581	17	|	|	ADV
ejpam-5956	581	18	ζ	ζ	NOUN
ejpam-5956	581	19	∈	∈	PROPN
ejpam-5956	581	20	υ	υ	NOUN
ejpam-5956	581	21	}	}	PUNCT
ejpam-5956	581	22	and	and	CCONJ
ejpam-5956	581	23	q4	q4	PROPN
ejpam-5956	581	24	=	=	PUNCT
ejpam-5956	581	25	{	{	PUNCT
ejpam-5956	581	26	⟨ζ	⟨ζ	NOUN
ejpam-5956	581	27	,	,	PUNCT
ejpam-5956	581	28	0.1	0.1	NUM
ejpam-5956	581	29	,	,	PUNCT
ejpam-5956	581	30	0.35	0.35	NUM
ejpam-5956	581	31	,	,	PUNCT
ejpam-5956	581	32	0⟩	0⟩	PROPN
ejpam-5956	581	33	|	|	ADV
ejpam-5956	581	34	ζ	ζ	NOUN
ejpam-5956	581	35	∈	∈	NOUN
ejpam-5956	581	36	υ	υ	NOUN
ejpam-5956	581	37	}	}	PUNCT
ejpam-5956	581	38	,	,	PUNCT
ejpam-5956	581	39	and	and	CCONJ
ejpam-5956	581	40	define	define	VERB
ejpam-5956	581	41	picture	picture	NOUN
ejpam-5956	581	42	fuzzy	fuzzy	ADJ
ejpam-5956	581	43	topologies	topology	NOUN
ejpam-5956	581	44	τ	τ	X
ejpam-5956	581	45	:	:	PUNCT
ejpam-5956	581	46	(	(	PUNCT
ejpam-5956	581	47	i3	i3	NOUN
ejpam-5956	581	48	)	)	PUNCT
ejpam-5956	581	49	ξ	ξ	PROPN
ejpam-5956	581	50	→	→	SYM
ejpam-5956	581	51	i3	i3	NOUN
ejpam-5956	581	52	,	,	PUNCT
ejpam-5956	581	53	σ	σ	PROPN
ejpam-5956	581	54	:	:	PUNCT
ejpam-5956	581	55	(	(	PUNCT
ejpam-5956	581	56	i3	i3	NOUN
ejpam-5956	581	57	)	)	PUNCT
ejpam-5956	581	58	υ	υ	NOUN
ejpam-5956	581	59	→	→	SYM
ejpam-5956	581	60	i3	i3	NOUN
ejpam-5956	581	61	,	,	PUNCT
ejpam-5956	581	62	and	and	CCONJ
ejpam-5956	581	63	picture	picture	NOUN
ejpam-5956	581	64	fuzzy	fuzzy	ADJ
ejpam-5956	581	65	ideal	ideal	ADJ
ejpam-5956	581	66	ℓp	ℓp	NOUN
ejpam-5956	581	67	:	:	PUNCT
ejpam-5956	581	68	(	(	PUNCT
ejpam-5956	581	69	i3	i3	NOUN
ejpam-5956	581	70	)	)	PUNCT
ejpam-5956	581	71	υ	υ	NOUN
ejpam-5956	581	72	→	→	PUNCT
ejpam-5956	581	73	i3	i3	NOUN
ejpam-5956	581	74	as	as	SCONJ
ejpam-5956	581	75	follows	follow	VERB
ejpam-5956	581	76	.	.	PUNCT
ejpam-5956	582	1	dali	dali	PROPN
ejpam-5956	582	2	shi	shi	PROPN
ejpam-5956	582	3	et	et	PROPN
ejpam-5956	582	4	al	al	PROPN
ejpam-5956	582	5	.	.	PUNCT
ejpam-5956	582	6	/	/	SYM
ejpam-5956	582	7	eur	eur	PROPN
ejpam-5956	582	8	.	.	PUNCT
ejpam-5956	583	1	j.	j.	PROPN
ejpam-5956	583	2	pure	pure	PROPN
ejpam-5956	583	3	appl	appl	PROPN
ejpam-5956	583	4	.	.	PROPN
ejpam-5956	583	5	math	math	PROPN
ejpam-5956	583	6	,	,	PUNCT
ejpam-5956	583	7	18	18	NUM
ejpam-5956	583	8	(	(	PUNCT
ejpam-5956	583	9	2	2	NUM
ejpam-5956	583	10	)	)	PUNCT
ejpam-5956	583	11	(	(	PUNCT
ejpam-5956	583	12	2025	2025	NUM
ejpam-5956	583	13	)	)	PUNCT
ejpam-5956	583	14	,	,	PUNCT
ejpam-5956	583	15	5956	5956	NUM
ejpam-5956	583	16	20	20	NUM
ejpam-5956	583	17	of	of	ADP
ejpam-5956	583	18	30	30	NUM
ejpam-5956	583	19	τ(k	τ(k	NOUN
ejpam-5956	583	20	)	)	PUNCT
ejpam-5956	583	21	=	=	SYM
ejpam-5956	583	22			NUM
ejpam-5956	583	23	⟨1	⟨1	PROPN
ejpam-5956	583	24	,	,	PUNCT
ejpam-5956	583	25	0	0	NUM
ejpam-5956	583	26	,	,	PUNCT
ejpam-5956	583	27	0⟩	0⟩	PROPN
ejpam-5956	583	28	if	if	SCONJ
ejpam-5956	583	29	k	k	PROPN
ejpam-5956	583	30	∈	∈	PROPN
ejpam-5956	583	31	{	{	PUNCT
ejpam-5956	583	32	♭	♭	PROPN
ejpam-5956	583	33	,	,	PUNCT
ejpam-5956	583	34	♯	♯	PROPN
ejpam-5956	583	35	}	}	PUNCT
ejpam-5956	583	36	,	,	PUNCT
ejpam-5956	583	37	⟨0.6	⟨0.6	PROPN
ejpam-5956	583	38	,	,	PUNCT
ejpam-5956	583	39	0.1	0.1	NUM
ejpam-5956	583	40	,	,	PUNCT
ejpam-5956	583	41	0.3⟩	0.3⟩	PUNCT
ejpam-5956	584	1	if	if	SCONJ
ejpam-5956	584	2	k	k	PROPN
ejpam-5956	584	3	∈	∈	PROPN
ejpam-5956	584	4	{	{	PUNCT
ejpam-5956	584	5	k1	k1	NOUN
ejpam-5956	584	6	,	,	PUNCT
ejpam-5956	584	7	k2	k2	NOUN
ejpam-5956	584	8	}	}	PUNCT
ejpam-5956	584	9	,	,	PUNCT
ejpam-5956	584	10	⟨0	⟨0	PROPN
ejpam-5956	584	11	,	,	PUNCT
ejpam-5956	584	12	1	1	NUM
ejpam-5956	584	13	,	,	PUNCT
ejpam-5956	584	14	0⟩	0⟩	PROPN
ejpam-5956	584	15	otherwise	otherwise	ADV
ejpam-5956	584	16	,	,	PUNCT
ejpam-5956	584	17	,	,	PUNCT
ejpam-5956	584	18	σ	σ	PROPN
ejpam-5956	584	19	(	(	PUNCT
ejpam-5956	584	20	q	q	NOUN
ejpam-5956	584	21	)	)	PUNCT
ejpam-5956	584	22	=	=	SYM
ejpam-5956	584	23			PROPN
ejpam-5956	584	24	⟨1	⟨1	PROPN
ejpam-5956	584	25	,	,	PUNCT
ejpam-5956	584	26	0	0	NUM
ejpam-5956	584	27	,	,	PUNCT
ejpam-5956	584	28	0⟩	0⟩	PROPN
ejpam-5956	584	29	if	if	SCONJ
ejpam-5956	584	30	q	q	X
ejpam-5956	584	31	∈	∈	PROPN
ejpam-5956	584	32	{	{	PUNCT
ejpam-5956	584	33	♭	♭	PROPN
ejpam-5956	584	34	,	,	PUNCT
ejpam-5956	584	35	♯	♯	PROPN
ejpam-5956	584	36	}	}	PUNCT
ejpam-5956	584	37	,	,	PUNCT
ejpam-5956	584	38	⟨0.35	⟨0.35	PROPN
ejpam-5956	584	39	,	,	PUNCT
ejpam-5956	584	40	0.5	0.5	NUM
ejpam-5956	584	41	,	,	PUNCT
ejpam-5956	584	42	0.15⟩	0.15⟩	ADV
ejpam-5956	584	43	if	if	SCONJ
ejpam-5956	584	44	q	q	X
ejpam-5956	584	45	=	=	SYM
ejpam-5956	584	46	q1	q1	PROPN
ejpam-5956	584	47	,	,	PUNCT
ejpam-5956	584	48	⟨0.55	⟨0.55	PROPN
ejpam-5956	584	49	,	,	PUNCT
ejpam-5956	584	50	0.2	0.2	NUM
ejpam-5956	584	51	,	,	PUNCT
ejpam-5956	584	52	0.25⟩	0.25⟩	NOUN
ejpam-5956	585	1	if	if	SCONJ
ejpam-5956	585	2	q	q	NOUN
ejpam-5956	585	3	=	=	SYM
ejpam-5956	585	4	q2	q2	NOUN
ejpam-5956	585	5	,	,	PUNCT
ejpam-5956	585	6	⟨0	⟨0	PROPN
ejpam-5956	585	7	,	,	PUNCT
ejpam-5956	585	8	1	1	NUM
ejpam-5956	585	9	,	,	PUNCT
ejpam-5956	585	10	0⟩	0⟩	PROPN
ejpam-5956	585	11	otherwise	otherwise	ADV
ejpam-5956	585	12	,	,	PUNCT
ejpam-5956	585	13	ℓp	ℓp	NOUN
ejpam-5956	585	14	(	(	PUNCT
ejpam-5956	585	15	q	q	NOUN
ejpam-5956	585	16	)	)	PUNCT
ejpam-5956	585	17	=	=	PUNCT
ejpam-5956	586	1			PROPN
ejpam-5956	586	2	⟨1	⟨1	PROPN
ejpam-5956	586	3	,	,	PUNCT
ejpam-5956	586	4	0	0	NUM
ejpam-5956	586	5	,	,	PUNCT
ejpam-5956	586	6	0⟩	0⟩	PROPN
ejpam-5956	586	7	if	if	SCONJ
ejpam-5956	586	8	q	q	X
ejpam-5956	586	9	=	=	SYM
ejpam-5956	586	10	♭	♭	PROPN
ejpam-5956	586	11	,	,	PUNCT
ejpam-5956	586	12	⟨0.55	⟨0.55	PROPN
ejpam-5956	586	13	,	,	PUNCT
ejpam-5956	586	14	0.15	0.15	NUM
ejpam-5956	586	15	,	,	PUNCT
ejpam-5956	586	16	0.3⟩	0.3⟩	PUNCT
ejpam-5956	586	17	if	if	SCONJ
ejpam-5956	586	18	q	q	PROPN
ejpam-5956	586	19	∈	∈	PROPN
ejpam-5956	586	20	{	{	PUNCT
ejpam-5956	586	21	q3	q3	PROPN
ejpam-5956	586	22	,	,	PUNCT
ejpam-5956	586	23	q4	q4	PROPN
ejpam-5956	586	24	}	}	PUNCT
ejpam-5956	586	25	,	,	PUNCT
ejpam-5956	586	26	⟨0	⟨0	PROPN
ejpam-5956	586	27	,	,	PUNCT
ejpam-5956	586	28	1	1	NUM
ejpam-5956	586	29	,	,	PUNCT
ejpam-5956	586	30	0⟩	0⟩	PROPN
ejpam-5956	586	31	otherwise	otherwise	ADV
ejpam-5956	586	32	.	.	PUNCT
ejpam-5956	587	1	then	then	ADV
ejpam-5956	587	2	,	,	PUNCT
ejpam-5956	587	3	f	f	X
ejpam-5956	587	4	:	:	PUNCT
ejpam-5956	587	5	(	(	PUNCT
ejpam-5956	587	6	ξ	ξ	X
ejpam-5956	587	7	,	,	PUNCT
ejpam-5956	587	8	τ	τ	X
ejpam-5956	587	9	)	)	PUNCT
ejpam-5956	587	10	↬	↬	PROPN
ejpam-5956	587	11	(	(	PUNCT
ejpam-5956	587	12	υ	υ	PROPN
ejpam-5956	587	13	,	,	PUNCT
ejpam-5956	587	14	σ	σ	PROPN
ejpam-5956	587	15	,	,	PUNCT
ejpam-5956	587	16	ℓp	ℓp	ADJ
ejpam-5956	587	17	)	)	PUNCT
ejpam-5956	587	18	is	be	AUX
ejpam-5956	587	19	pf	pf	PROPN
ejpam-5956	587	20	ua	ua	PROPN
ejpam-5956	587	21	(	(	PUNCT
ejpam-5956	587	22	resp	resp	PROPN
ejpam-5956	587	23	.	.	PUNCT
ejpam-5956	588	1	pf	pf	PROPN
ejpam-5956	588	2	la)-continuous	la)-continuous	NOUN
ejpam-5956	588	3	but	but	CCONJ
ejpam-5956	588	4	is	be	AUX
ejpam-5956	588	5	not	not	PART
ejpam-5956	588	6	pf	pf	PROPN
ejpam-5956	588	7	ua	ua	PROPN
ejpam-5956	588	8	(	(	PUNCT
ejpam-5956	588	9	resp	resp	PROPN
ejpam-5956	588	10	.	.	PUNCT
ejpam-5956	589	1	pf	pf	PROPN
ejpam-5956	589	2	la	la	PROPN
ejpam-5956	589	3	)	)	PUNCT
ejpam-5956	589	4	ℓp	ℓp	ADJ
ejpam-5956	589	5	-continuous	-continuous	ADJ
ejpam-5956	589	6	because	because	SCONJ
ejpam-5956	589	7	{	{	PUNCT
ejpam-5956	589	8	⟨ξ	⟨ξ	NOUN
ejpam-5956	589	9	,	,	PUNCT
ejpam-5956	589	10	0.05	0.05	NUM
ejpam-5956	589	11	,	,	PUNCT
ejpam-5956	589	12	0.36	0.36	NUM
ejpam-5956	589	13	,	,	PUNCT
ejpam-5956	589	14	0⟩	0⟩	PROPN
ejpam-5956	589	15	|ξ	|ξ	VERB
ejpam-5956	589	16	∈	∈	PROPN
ejpam-5956	589	17	ξ	ξ	NOUN
ejpam-5956	589	18	}	}	PUNCT
ejpam-5956	589	19	=	=	SYM
ejpam-5956	589	20	fu	fu	ADJ
ejpam-5956	589	21	(	(	PUNCT
ejpam-5956	589	22	q1	q1	PROPN
ejpam-5956	589	23	)	)	PUNCT
ejpam-5956	589	24	⊆	⊆	NUM
ejpam-5956	589	25	intτ	intτ	ADV
ejpam-5956	589	26	(	(	PUNCT
ejpam-5956	589	27	fu(intσ(clσ	fu(intσ(clσ	PROPN
ejpam-5956	589	28	(	(	PUNCT
ejpam-5956	589	29	q1	q1	PROPN
ejpam-5956	589	30	,	,	PUNCT
ejpam-5956	589	31	⟨0.35	⟨0.35	PROPN
ejpam-5956	589	32	,	,	PUNCT
ejpam-5956	589	33	0.5	0.5	NUM
ejpam-5956	589	34	,	,	PUNCT
ejpam-5956	589	35	0.15⟩	0.15⟩	PROPN
ejpam-5956	589	36	)	)	PUNCT
ejpam-5956	589	37	,	,	PUNCT
ejpam-5956	589	38	⟨0.35	⟨0.35	PROPN
ejpam-5956	589	39	,	,	PUNCT
ejpam-5956	589	40	0.5	0.5	NUM
ejpam-5956	589	41	,	,	PUNCT
ejpam-5956	589	42	0.15⟩	0.15⟩	PROPN
ejpam-5956	589	43	)	)	PUNCT
ejpam-5956	589	44	)	)	PUNCT
ejpam-5956	589	45	,	,	PUNCT
ejpam-5956	589	46	⟨0.35	⟨0.35	PROPN
ejpam-5956	589	47	,	,	PUNCT
ejpam-5956	589	48	0.5	0.5	NUM
ejpam-5956	589	49	,	,	PUNCT
ejpam-5956	589	50	0.15⟩	0.15⟩	PROPN
ejpam-5956	589	51	)	)	PUNCT
ejpam-5956	589	52	=	=	PRON
ejpam-5956	589	53	{	{	PUNCT
ejpam-5956	589	54	⟨ξ	⟨ξ	NOUN
ejpam-5956	589	55	,	,	PUNCT
ejpam-5956	589	56	0.1	0.1	NUM
ejpam-5956	589	57	,	,	PUNCT
ejpam-5956	589	58	0.35	0.35	NUM
ejpam-5956	589	59	,	,	PUNCT
ejpam-5956	589	60	0⟩	0⟩	PROPN
ejpam-5956	589	61	|ξ	|ξ	VERB
ejpam-5956	589	62	∈	∈	PROPN
ejpam-5956	589	63	ξ	ξ	NOUN
ejpam-5956	589	64	}	}	PUNCT
ejpam-5956	589	65	,	,	PUNCT
ejpam-5956	589	66	{	{	PUNCT
ejpam-5956	589	67	⟨ξ	⟨ξ	NOUN
ejpam-5956	589	68	,	,	PUNCT
ejpam-5956	589	69	0.1	0.1	NUM
ejpam-5956	589	70	,	,	PUNCT
ejpam-5956	589	71	0.35	0.35	NUM
ejpam-5956	589	72	,	,	PUNCT
ejpam-5956	589	73	0⟩	0⟩	PROPN
ejpam-5956	589	74	|ξ	|ξ	VERB
ejpam-5956	589	75	∈	∈	PROPN
ejpam-5956	589	76	ξ	ξ	NOUN
ejpam-5956	589	77	}	}	PUNCT
ejpam-5956	589	78	=	=	SYM
ejpam-5956	589	79	fu	fu	ADJ
ejpam-5956	589	80	(	(	PUNCT
ejpam-5956	589	81	q2	q2	NOUN
ejpam-5956	589	82	)	)	PUNCT
ejpam-5956	589	83	⊆	⊆	NUM
ejpam-5956	589	84	intτ	intτ	ADV
ejpam-5956	589	85	(	(	PUNCT
ejpam-5956	589	86	fu(intσ(clσ	fu(intσ(clσ	PROPN
ejpam-5956	589	87	(	(	PUNCT
ejpam-5956	589	88	q2	q2	NOUN
ejpam-5956	589	89	,	,	PUNCT
ejpam-5956	589	90	⟨0.35	⟨0.35	PROPN
ejpam-5956	589	91	,	,	PUNCT
ejpam-5956	589	92	0.5	0.5	NUM
ejpam-5956	589	93	,	,	PUNCT
ejpam-5956	589	94	0.15⟩	0.15⟩	PROPN
ejpam-5956	589	95	)	)	PUNCT
ejpam-5956	589	96	,	,	PUNCT
ejpam-5956	589	97	⟨0.35	⟨0.35	PROPN
ejpam-5956	589	98	,	,	PUNCT
ejpam-5956	589	99	0.5	0.5	NUM
ejpam-5956	589	100	,	,	PUNCT
ejpam-5956	589	101	0.15⟩	0.15⟩	PROPN
ejpam-5956	589	102	)	)	PUNCT
ejpam-5956	589	103	)	)	PUNCT
ejpam-5956	589	104	,	,	PUNCT
ejpam-5956	589	105	⟨0.35	⟨0.35	PROPN
ejpam-5956	589	106	,	,	PUNCT
ejpam-5956	589	107	0.5	0.5	NUM
ejpam-5956	589	108	,	,	PUNCT
ejpam-5956	589	109	0.15⟩	0.15⟩	PROPN
ejpam-5956	589	110	)	)	PUNCT
ejpam-5956	589	111	=	=	PRON
ejpam-5956	589	112	{	{	PUNCT
ejpam-5956	589	113	⟨ξ	⟨ξ	NOUN
ejpam-5956	589	114	,	,	PUNCT
ejpam-5956	589	115	0.1	0.1	NUM
ejpam-5956	589	116	,	,	PUNCT
ejpam-5956	589	117	0.35	0.35	NUM
ejpam-5956	589	118	,	,	PUNCT
ejpam-5956	589	119	0⟩	0⟩	PROPN
ejpam-5956	589	120	|ξ	|ξ	VERB
ejpam-5956	589	121	∈	∈	PROPN
ejpam-5956	589	122	ξ	ξ	NOUN
ejpam-5956	589	123	}	}	PUNCT
ejpam-5956	589	124	,	,	PUNCT
ejpam-5956	589	125	{	{	PUNCT
ejpam-5956	589	126	⟨ξ	⟨ξ	NOUN
ejpam-5956	589	127	,	,	PUNCT
ejpam-5956	589	128	0.05	0.05	NUM
ejpam-5956	589	129	,	,	PUNCT
ejpam-5956	589	130	0.36	0.36	NUM
ejpam-5956	589	131	,	,	PUNCT
ejpam-5956	589	132	0⟩	0⟩	PROPN
ejpam-5956	589	133	|ξ	|ξ	VERB
ejpam-5956	589	134	∈	∈	PROPN
ejpam-5956	589	135	ξ	ξ	NOUN
ejpam-5956	589	136	}	}	PUNCT
ejpam-5956	589	137	=	=	SYM
ejpam-5956	589	138	fl	fl	PROPN
ejpam-5956	589	139	(	(	PUNCT
ejpam-5956	589	140	q1	q1	PROPN
ejpam-5956	589	141	)	)	PUNCT
ejpam-5956	589	142	⊆	⊆	NUM
ejpam-5956	589	143	intτ	intτ	ADV
ejpam-5956	589	144	(	(	PUNCT
ejpam-5956	589	145	fl(intσ(clσ	fl(intσ(clσ	PROPN
ejpam-5956	589	146	(	(	PUNCT
ejpam-5956	589	147	q1	q1	PROPN
ejpam-5956	589	148	,	,	PUNCT
ejpam-5956	589	149	⟨0.35	⟨0.35	PROPN
ejpam-5956	589	150	,	,	PUNCT
ejpam-5956	589	151	0.5	0.5	NUM
ejpam-5956	589	152	,	,	PUNCT
ejpam-5956	589	153	0.15⟩	0.15⟩	PROPN
ejpam-5956	589	154	)	)	PUNCT
ejpam-5956	589	155	,	,	PUNCT
ejpam-5956	589	156	⟨0.35	⟨0.35	PROPN
ejpam-5956	589	157	,	,	PUNCT
ejpam-5956	589	158	0.5	0.5	NUM
ejpam-5956	589	159	,	,	PUNCT
ejpam-5956	589	160	0.15⟩	0.15⟩	PROPN
ejpam-5956	589	161	)	)	PUNCT
ejpam-5956	589	162	)	)	PUNCT
ejpam-5956	589	163	,	,	PUNCT
ejpam-5956	589	164	⟨0.35	⟨0.35	PROPN
ejpam-5956	589	165	,	,	PUNCT
ejpam-5956	589	166	0.5	0.5	NUM
ejpam-5956	589	167	,	,	PUNCT
ejpam-5956	589	168	0.15⟩	0.15⟩	PROPN
ejpam-5956	589	169	)	)	PUNCT
ejpam-5956	589	170	=	=	PRON
ejpam-5956	589	171	{	{	PUNCT
ejpam-5956	589	172	⟨ξ	⟨ξ	NOUN
ejpam-5956	589	173	,	,	PUNCT
ejpam-5956	589	174	0.1	0.1	NUM
ejpam-5956	589	175	,	,	PUNCT
ejpam-5956	589	176	0.35	0.35	NUM
ejpam-5956	589	177	,	,	PUNCT
ejpam-5956	589	178	0⟩	0⟩	PROPN
ejpam-5956	589	179	|ξ	|ξ	VERB
ejpam-5956	589	180	∈	∈	PROPN
ejpam-5956	589	181	ξ	ξ	NOUN
ejpam-5956	589	182	}	}	PUNCT
ejpam-5956	589	183	,	,	PUNCT
ejpam-5956	589	184	{	{	PUNCT
ejpam-5956	589	185	⟨ξ	⟨ξ	NOUN
ejpam-5956	589	186	,	,	PUNCT
ejpam-5956	589	187	0.1	0.1	NUM
ejpam-5956	589	188	,	,	PUNCT
ejpam-5956	589	189	0.35	0.35	NUM
ejpam-5956	589	190	,	,	PUNCT
ejpam-5956	589	191	0⟩	0⟩	PROPN
ejpam-5956	589	192	|ξ	|ξ	VERB
ejpam-5956	589	193	∈	∈	PROPN
ejpam-5956	589	194	ξ	ξ	NOUN
ejpam-5956	589	195	}	}	PUNCT
ejpam-5956	589	196	=	=	SYM
ejpam-5956	589	197	fl	fl	PROPN
ejpam-5956	589	198	(	(	PUNCT
ejpam-5956	589	199	q2	q2	NOUN
ejpam-5956	589	200	)	)	PUNCT
ejpam-5956	589	201	⊆	⊆	NUM
ejpam-5956	589	202	intτ	intτ	ADV
ejpam-5956	589	203	(	(	PUNCT
ejpam-5956	589	204	fl(intσ(clσ	fl(intσ(clσ	PROPN
ejpam-5956	589	205	(	(	PUNCT
ejpam-5956	589	206	q2	q2	NOUN
ejpam-5956	589	207	,	,	PUNCT
ejpam-5956	589	208	⟨0.35	⟨0.35	PROPN
ejpam-5956	589	209	,	,	PUNCT
ejpam-5956	589	210	0.5	0.5	NUM
ejpam-5956	589	211	,	,	PUNCT
ejpam-5956	589	212	0.15⟩	0.15⟩	PROPN
ejpam-5956	589	213	)	)	PUNCT
ejpam-5956	589	214	,	,	PUNCT
ejpam-5956	589	215	⟨0.35	⟨0.35	PROPN
ejpam-5956	589	216	,	,	PUNCT
ejpam-5956	589	217	0.5	0.5	NUM
ejpam-5956	589	218	,	,	PUNCT
ejpam-5956	589	219	0.15⟩	0.15⟩	PROPN
ejpam-5956	589	220	)	)	PUNCT
ejpam-5956	589	221	)	)	PUNCT
ejpam-5956	589	222	,	,	PUNCT
ejpam-5956	589	223	⟨0.35	⟨0.35	PROPN
ejpam-5956	589	224	,	,	PUNCT
ejpam-5956	589	225	0.5	0.5	NUM
ejpam-5956	589	226	,	,	PUNCT
ejpam-5956	589	227	0.15⟩	0.15⟩	PROPN
ejpam-5956	589	228	)	)	PUNCT
ejpam-5956	589	229	=	=	PRON
ejpam-5956	589	230	{	{	PUNCT
ejpam-5956	589	231	⟨ξ	⟨ξ	NOUN
ejpam-5956	589	232	,	,	PUNCT
ejpam-5956	589	233	0.1	0.1	NUM
ejpam-5956	589	234	,	,	PUNCT
ejpam-5956	589	235	0.35	0.35	NUM
ejpam-5956	589	236	,	,	PUNCT
ejpam-5956	589	237	0⟩	0⟩	PROPN
ejpam-5956	589	238	|ξ	|ξ	VERB
ejpam-5956	589	239	∈	∈	PROPN
ejpam-5956	589	240	ξ	ξ	NOUN
ejpam-5956	589	241	}	}	PUNCT
ejpam-5956	589	242	,	,	PUNCT
ejpam-5956	589	243	but	but	CCONJ
ejpam-5956	589	244	{	{	PUNCT
ejpam-5956	589	245	⟨ξ	⟨ξ	NOUN
ejpam-5956	589	246	,	,	PUNCT
ejpam-5956	589	247	0.05	0.05	NUM
ejpam-5956	589	248	,	,	PUNCT
ejpam-5956	589	249	0.36	0.36	NUM
ejpam-5956	589	250	,	,	PUNCT
ejpam-5956	589	251	0⟩	0⟩	PROPN
ejpam-5956	589	252	|ξ	|ξ	VERB
ejpam-5956	589	253	∈	∈	PROPN
ejpam-5956	589	254	ξ	ξ	NOUN
ejpam-5956	589	255	}	}	PUNCT
ejpam-5956	589	256	=	=	SYM
ejpam-5956	589	257	fu	fu	ADJ
ejpam-5956	589	258	(	(	PUNCT
ejpam-5956	589	259	q1	q1	PROPN
ejpam-5956	589	260	)	)	PUNCT
ejpam-5956	589	261	⊈	⊈	VERB
ejpam-5956	590	1	intτ	intτ	ADV
ejpam-5956	590	2	(	(	PUNCT
ejpam-5956	590	3	fu(intσ(cl	fu(intσ(cl	PROPN
ejpam-5956	590	4	∗	∗	NOUN
ejpam-5956	590	5	(	(	PUNCT
ejpam-5956	590	6	q1	q1	PROPN
ejpam-5956	590	7	,	,	PUNCT
ejpam-5956	590	8	⟨0.35	⟨0.35	PROPN
ejpam-5956	590	9	,	,	PUNCT
ejpam-5956	590	10	0.5	0.5	NUM
ejpam-5956	590	11	,	,	PUNCT
ejpam-5956	590	12	0.15⟩	0.15⟩	PROPN
ejpam-5956	590	13	)	)	PUNCT
ejpam-5956	590	14	,	,	PUNCT
ejpam-5956	590	15	⟨0.35	⟨0.35	PROPN
ejpam-5956	590	16	,	,	PUNCT
ejpam-5956	590	17	0.5	0.5	NUM
ejpam-5956	590	18	,	,	PUNCT
ejpam-5956	590	19	0.15⟩	0.15⟩	PROPN
ejpam-5956	590	20	)	)	PUNCT
ejpam-5956	590	21	)	)	PUNCT
ejpam-5956	590	22	,	,	PUNCT
ejpam-5956	590	23	⟨0.35	⟨0.35	PROPN
ejpam-5956	590	24	,	,	PUNCT
ejpam-5956	590	25	0.5	0.5	NUM
ejpam-5956	590	26	,	,	PUNCT
ejpam-5956	590	27	0.15⟩	0.15⟩	PROPN
ejpam-5956	590	28	)	)	PUNCT
ejpam-5956	590	29	=	=	SYM
ejpam-5956	590	30	♭	♭	PROPN
ejpam-5956	590	31	,	,	PUNCT
ejpam-5956	590	32	{	{	PUNCT
ejpam-5956	590	33	⟨ξ	⟨ξ	NOUN
ejpam-5956	590	34	,	,	PUNCT
ejpam-5956	590	35	0.05	0.05	NUM
ejpam-5956	590	36	,	,	PUNCT
ejpam-5956	590	37	0.36	0.36	NUM
ejpam-5956	590	38	,	,	PUNCT
ejpam-5956	590	39	0⟩	0⟩	PROPN
ejpam-5956	590	40	|ξ	|ξ	VERB
ejpam-5956	590	41	∈	∈	PROPN
ejpam-5956	590	42	ξ	ξ	NOUN
ejpam-5956	590	43	}	}	PUNCT
ejpam-5956	590	44	=	=	SYM
ejpam-5956	590	45	fl	fl	PROPN
ejpam-5956	590	46	(	(	PUNCT
ejpam-5956	590	47	q1	q1	PROPN
ejpam-5956	590	48	)	)	PUNCT
ejpam-5956	590	49	⊈	⊈	VERB
ejpam-5956	591	1	intτ	intτ	ADV
ejpam-5956	591	2	(	(	PUNCT
ejpam-5956	591	3	fl(intσ(cl	fl(intσ(cl	NOUN
ejpam-5956	591	4	∗	∗	NOUN
ejpam-5956	591	5	(	(	PUNCT
ejpam-5956	591	6	q1	q1	PROPN
ejpam-5956	591	7	,	,	PUNCT
ejpam-5956	591	8	⟨0.35	⟨0.35	PROPN
ejpam-5956	591	9	,	,	PUNCT
ejpam-5956	591	10	0.5	0.5	NUM
ejpam-5956	591	11	,	,	PUNCT
ejpam-5956	591	12	0.15⟩	0.15⟩	PROPN
ejpam-5956	591	13	)	)	PUNCT
ejpam-5956	591	14	,	,	PUNCT
ejpam-5956	591	15	⟨0.35	⟨0.35	PROPN
ejpam-5956	591	16	,	,	PUNCT
ejpam-5956	591	17	0.5	0.5	NUM
ejpam-5956	591	18	,	,	PUNCT
ejpam-5956	591	19	0.15⟩	0.15⟩	PROPN
ejpam-5956	591	20	)	)	PUNCT
ejpam-5956	591	21	)	)	PUNCT
ejpam-5956	591	22	,	,	PUNCT
ejpam-5956	591	23	⟨0.35	⟨0.35	PROPN
ejpam-5956	591	24	,	,	PUNCT
ejpam-5956	591	25	0.5	0.5	NUM
ejpam-5956	591	26	,	,	PUNCT
ejpam-5956	591	27	0.15⟩	0.15⟩	PROPN
ejpam-5956	591	28	)	)	PUNCT
ejpam-5956	591	29	=	=	SYM
ejpam-5956	591	30	♭	♭	PROPN
ejpam-5956	591	31	.	.	PUNCT
ejpam-5956	591	32	theorem	theorem	VERB
ejpam-5956	591	33	3.7	3.7	NUM
ejpam-5956	591	34	.	.	PUNCT
ejpam-5956	592	1	for	for	ADP
ejpam-5956	592	2	a	a	DET
ejpam-5956	592	3	pfm	pfm	NOUN
ejpam-5956	592	4	f	f	NOUN
ejpam-5956	592	5	:	:	PUNCT
ejpam-5956	592	6	(	(	PUNCT
ejpam-5956	592	7	ξ	ξ	X
ejpam-5956	592	8	,	,	PUNCT
ejpam-5956	592	9	τ	τ	X
ejpam-5956	592	10	)	)	PUNCT
ejpam-5956	592	11	↬	↬	PROPN
ejpam-5956	592	12	(	(	PUNCT
ejpam-5956	592	13	υ	υ	PROPN
ejpam-5956	592	14	,	,	PUNCT
ejpam-5956	592	15	σ	σ	PROPN
ejpam-5956	592	16	,	,	PUNCT
ejpam-5956	592	17	ℓp	ℓp	NOUN
ejpam-5956	592	18	)	)	PUNCT
ejpam-5956	592	19	,	,	PUNCT
ejpam-5956	592	20	q	q	PROPN
ejpam-5956	592	21	∈	∈	PROPN
ejpam-5956	592	22	(	(	PUNCT
ejpam-5956	592	23	i3	i3	NOUN
ejpam-5956	592	24	)	)	PUNCT
ejpam-5956	592	25	υ	υ	NOUN
ejpam-5956	592	26	,	,	PUNCT
ejpam-5956	592	27	ς	ς	PROPN
ejpam-5956	592	28	∈	∈	PROPN
ejpam-5956	592	29	i0,κ	i0,κ	PROPN
ejpam-5956	592	30	∈	∈	PROPN
ejpam-5956	592	31	i1	i1	PROPN
ejpam-5956	592	32	and	and	CCONJ
ejpam-5956	592	33	ϑ	ϑ	PROPN
ejpam-5956	592	34	∈	∈	PROPN
ejpam-5956	592	35	i1	i1	PROPN
ejpam-5956	592	36	,	,	PUNCT
ejpam-5956	592	37	the	the	DET
ejpam-5956	592	38	following	following	ADJ
ejpam-5956	592	39	statements	statement	NOUN
ejpam-5956	592	40	are	be	AUX
ejpam-5956	592	41	equivalent	equivalent	ADJ
ejpam-5956	592	42	:	:	PUNCT
ejpam-5956	592	43	(	(	PUNCT
ejpam-5956	592	44	1	1	X
ejpam-5956	592	45	)	)	PUNCT
ejpam-5956	592	46	f	f	PROPN
ejpam-5956	592	47	is	be	AUX
ejpam-5956	592	48	pf	pf	PROPN
ejpam-5956	592	49	la	la	ADV
ejpam-5956	592	50	ℓp	ℓp	ADJ
ejpam-5956	592	51	-continuous	-continuous	ADJ
ejpam-5956	592	52	.	.	PUNCT
ejpam-5956	593	1	(	(	PUNCT
ejpam-5956	593	2	2	2	X
ejpam-5956	593	3	)	)	PUNCT
ejpam-5956	593	4	τ	τ	PROPN
ejpam-5956	593	5	(	(	PUNCT
ejpam-5956	593	6	fl	fl	PROPN
ejpam-5956	593	7	(	(	PUNCT
ejpam-5956	593	8	q	q	NOUN
ejpam-5956	593	9	)	)	PUNCT
ejpam-5956	593	10	)	)	PUNCT
ejpam-5956	593	11	≥	≥	PROPN
ejpam-5956	593	12	⟨ς	⟨ς	NOUN
ejpam-5956	593	13	,	,	PUNCT
ejpam-5956	593	14	κ	κ	NOUN
ejpam-5956	593	15	,	,	PUNCT
ejpam-5956	593	16	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	593	17	,	,	PUNCT
ejpam-5956	593	18	if	if	SCONJ
ejpam-5956	593	19	q	q	PRON
ejpam-5956	593	20	=	=	SYM
ejpam-5956	593	21	intσ(cl	intσ(cl	NOUN
ejpam-5956	593	22	∗	∗	NOUN
ejpam-5956	593	23	(	(	PUNCT
ejpam-5956	593	24	q	q	NOUN
ejpam-5956	593	25	,	,	PUNCT
ejpam-5956	593	26	⟨ς	⟨ς	NOUN
ejpam-5956	593	27	,	,	PUNCT
ejpam-5956	593	28	κ	κ	NOUN
ejpam-5956	593	29	,	,	PUNCT
ejpam-5956	593	30	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	593	31	)	)	PUNCT
ejpam-5956	593	32	,	,	PUNCT
ejpam-5956	593	33	⟨ς	⟨ς	X
ejpam-5956	593	34	,	,	PUNCT
ejpam-5956	593	35	κ	κ	NOUN
ejpam-5956	593	36	,	,	PUNCT
ejpam-5956	593	37	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	593	38	)	)	PUNCT
ejpam-5956	593	39	.	.	PUNCT
ejpam-5956	594	1	(	(	PUNCT
ejpam-5956	594	2	3	3	X
ejpam-5956	594	3	)	)	PUNCT
ejpam-5956	594	4	τ	τ	PROPN
ejpam-5956	594	5	(	(	PUNCT
ejpam-5956	594	6	fl(intσ(cl	fl(intσ(cl	NOUN
ejpam-5956	594	7	∗	∗	NOUN
ejpam-5956	594	8	(	(	PUNCT
ejpam-5956	594	9	q	q	NOUN
ejpam-5956	594	10	,	,	PUNCT
ejpam-5956	594	11	⟨ς	⟨ς	NOUN
ejpam-5956	594	12	,	,	PUNCT
ejpam-5956	594	13	κ	κ	NOUN
ejpam-5956	594	14	,	,	PUNCT
ejpam-5956	594	15	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	594	16	)	)	PUNCT
ejpam-5956	594	17	,	,	PUNCT
ejpam-5956	594	18	⟨ς	⟨ς	X
ejpam-5956	594	19	,	,	PUNCT
ejpam-5956	594	20	κ	κ	NOUN
ejpam-5956	594	21	,	,	PUNCT
ejpam-5956	594	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	594	23	)	)	PUNCT
ejpam-5956	594	24	)	)	PUNCT
ejpam-5956	594	25	)	)	PUNCT
ejpam-5956	594	26	≥	≥	X
ejpam-5956	595	1	⟨ς	⟨ς	NOUN
ejpam-5956	595	2	,	,	PUNCT
ejpam-5956	595	3	κ	κ	NOUN
ejpam-5956	595	4	,	,	PUNCT
ejpam-5956	595	5	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	595	6	if	if	SCONJ
ejpam-5956	595	7	σ	σ	PROPN
ejpam-5956	595	8	(	(	PUNCT
ejpam-5956	595	9	q	q	PROPN
ejpam-5956	595	10	)	)	PUNCT
ejpam-5956	595	11	≥	≥	NOUN
ejpam-5956	595	12	⟨ς	⟨ς	NOUN
ejpam-5956	595	13	,	,	PUNCT
ejpam-5956	595	14	κ	κ	NOUN
ejpam-5956	595	15	,	,	PUNCT
ejpam-5956	595	16	ϑ⟩.	ϑ⟩.	NOUN
ejpam-5956	595	17	proof	proof	NOUN
ejpam-5956	595	18	.	.	PUNCT
ejpam-5956	596	1	(	(	PUNCT
ejpam-5956	596	2	1	1	X
ejpam-5956	596	3	)	)	PUNCT
ejpam-5956	596	4	=	=	NOUN
ejpam-5956	596	5	⇒	⇒	NOUN
ejpam-5956	596	6	(	(	PUNCT
ejpam-5956	596	7	2	2	X
ejpam-5956	596	8	)	)	PUNCT
ejpam-5956	596	9	if	if	SCONJ
ejpam-5956	596	10	q	q	NOUN
ejpam-5956	596	11	=	=	PUNCT
ejpam-5956	596	12	intσ(cl	intσ(cl	NOUN
ejpam-5956	596	13	∗	∗	NOUN
ejpam-5956	596	14	(	(	PUNCT
ejpam-5956	596	15	q	q	NOUN
ejpam-5956	596	16	,	,	PUNCT
ejpam-5956	596	17	⟨ς	⟨ς	NOUN
ejpam-5956	596	18	,	,	PUNCT
ejpam-5956	596	19	κ	κ	NOUN
ejpam-5956	596	20	,	,	PUNCT
ejpam-5956	596	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	596	22	)	)	PUNCT
ejpam-5956	596	23	,	,	PUNCT
ejpam-5956	596	24	⟨ς	⟨ς	X
ejpam-5956	596	25	,	,	PUNCT
ejpam-5956	596	26	κ	κ	NOUN
ejpam-5956	596	27	,	,	PUNCT
ejpam-5956	596	28	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	596	29	)	)	PUNCT
ejpam-5956	596	30	,	,	PUNCT
ejpam-5956	596	31	then	then	ADV
ejpam-5956	596	32	σ	σ	PROPN
ejpam-5956	596	33	(	(	PUNCT
ejpam-5956	596	34	q	q	PROPN
ejpam-5956	596	35	)	)	PUNCT
ejpam-5956	596	36	≥	≥	NOUN
ejpam-5956	596	37	⟨ς	⟨ς	NOUN
ejpam-5956	596	38	,	,	PUNCT
ejpam-5956	596	39	κ	κ	NOUN
ejpam-5956	596	40	,	,	PUNCT
ejpam-5956	596	41	ϑ⟩.	ϑ⟩.	NOUN
ejpam-5956	596	42	by	by	ADP
ejpam-5956	596	43	theorem	theorem	ADJ
ejpam-5956	596	44	3.5(2	3.5(2	NUM
ejpam-5956	596	45	)	)	PUNCT
ejpam-5956	596	46	,	,	PUNCT
ejpam-5956	596	47	fl	fl	PROPN
ejpam-5956	596	48	(	(	PUNCT
ejpam-5956	596	49	q	q	NOUN
ejpam-5956	596	50	)	)	PUNCT
ejpam-5956	596	51	⊆	⊆	NUM
ejpam-5956	596	52	intτ	intτ	ADV
ejpam-5956	596	53	(	(	PUNCT
ejpam-5956	596	54	fl(intσ(cl	fl(intσ(cl	NOUN
ejpam-5956	596	55	∗	∗	NOUN
ejpam-5956	596	56	(	(	PUNCT
ejpam-5956	596	57	q	q	NOUN
ejpam-5956	596	58	,	,	PUNCT
ejpam-5956	596	59	⟨ς	⟨ς	NOUN
ejpam-5956	596	60	,	,	PUNCT
ejpam-5956	596	61	κ	κ	NOUN
ejpam-5956	596	62	,	,	PUNCT
ejpam-5956	596	63	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	596	64	)	)	PUNCT
ejpam-5956	596	65	,	,	PUNCT
ejpam-5956	596	66	⟨ς	⟨ς	X
ejpam-5956	596	67	,	,	PUNCT
ejpam-5956	596	68	κ	κ	NOUN
ejpam-5956	596	69	,	,	PUNCT
ejpam-5956	596	70	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	596	71	)	)	PUNCT
ejpam-5956	596	72	)	)	PUNCT
ejpam-5956	596	73	,	,	PUNCT
ejpam-5956	596	74	⟨ς	⟨ς	NOUN
ejpam-5956	596	75	,	,	PUNCT
ejpam-5956	596	76	κ	κ	NOUN
ejpam-5956	596	77	,	,	PUNCT
ejpam-5956	596	78	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	596	79	)	)	PUNCT
ejpam-5956	596	80	=	=	VERB
ejpam-5956	596	81	intτ	intτ	ADV
ejpam-5956	596	82	(	(	PUNCT
ejpam-5956	596	83	fl	fl	PROPN
ejpam-5956	596	84	(	(	PUNCT
ejpam-5956	596	85	q	q	NOUN
ejpam-5956	596	86	)	)	PUNCT
ejpam-5956	596	87	,	,	PUNCT
ejpam-5956	596	88	⟨ς	⟨ς	NOUN
ejpam-5956	596	89	,	,	PUNCT
ejpam-5956	596	90	κ	κ	NOUN
ejpam-5956	596	91	,	,	PUNCT
ejpam-5956	596	92	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	596	93	)	)	PUNCT
ejpam-5956	596	94	.	.	PUNCT
ejpam-5956	597	1	dali	dali	PROPN
ejpam-5956	597	2	shi	shi	PROPN
ejpam-5956	597	3	et	et	PROPN
ejpam-5956	597	4	al	al	PROPN
ejpam-5956	597	5	.	.	PUNCT
ejpam-5956	597	6	/	/	SYM
ejpam-5956	597	7	eur	eur	PROPN
ejpam-5956	597	8	.	.	PUNCT
ejpam-5956	598	1	j.	j.	PROPN
ejpam-5956	598	2	pure	pure	PROPN
ejpam-5956	598	3	appl	appl	PROPN
ejpam-5956	598	4	.	.	PROPN
ejpam-5956	598	5	math	math	PROPN
ejpam-5956	598	6	,	,	PUNCT
ejpam-5956	598	7	18	18	NUM
ejpam-5956	598	8	(	(	PUNCT
ejpam-5956	598	9	2	2	NUM
ejpam-5956	598	10	)	)	PUNCT
ejpam-5956	598	11	(	(	PUNCT
ejpam-5956	598	12	2025	2025	NUM
ejpam-5956	598	13	)	)	PUNCT
ejpam-5956	598	14	,	,	PUNCT
ejpam-5956	598	15	5956	5956	NUM
ejpam-5956	598	16	21	21	NUM
ejpam-5956	598	17	of	of	ADP
ejpam-5956	598	18	30	30	NUM
ejpam-5956	598	19	thus	thus	ADV
ejpam-5956	598	20	,	,	PUNCT
ejpam-5956	598	21	τ	τ	PROPN
ejpam-5956	598	22	(	(	PUNCT
ejpam-5956	598	23	fl	fl	PROPN
ejpam-5956	598	24	(	(	PUNCT
ejpam-5956	598	25	q	q	NOUN
ejpam-5956	598	26	)	)	PUNCT
ejpam-5956	598	27	)	)	PUNCT
ejpam-5956	598	28	≥	≥	PROPN
ejpam-5956	598	29	⟨ς	⟨ς	NOUN
ejpam-5956	598	30	,	,	PUNCT
ejpam-5956	598	31	κ	κ	NOUN
ejpam-5956	598	32	,	,	PUNCT
ejpam-5956	598	33	ϑ⟩.	ϑ⟩.	NOUN
ejpam-5956	598	34	(	(	PUNCT
ejpam-5956	598	35	2	2	X
ejpam-5956	598	36	)	)	PUNCT
ejpam-5956	598	37	⇔	⇔	X
ejpam-5956	598	38	(	(	PUNCT
ejpam-5956	598	39	3	3	NUM
ejpam-5956	598	40	)	)	PUNCT
ejpam-5956	598	41	obvious	obvious	ADJ
ejpam-5956	598	42	.	.	PUNCT
ejpam-5956	599	1	(	(	PUNCT
ejpam-5956	599	2	3	3	X
ejpam-5956	599	3	)	)	PUNCT
ejpam-5956	599	4	=	=	NOUN
ejpam-5956	599	5	⇒	⇒	NOUN
ejpam-5956	599	6	(	(	PUNCT
ejpam-5956	599	7	1	1	X
ejpam-5956	599	8	)	)	PUNCT
ejpam-5956	599	9	let	let	VERB
ejpam-5956	599	10	ξ⟨ς	ξ⟨ς	NUM
ejpam-5956	599	11	,	,	PUNCT
ejpam-5956	599	12	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	599	13	∈	∈	PROPN
ejpam-5956	600	1	d	d	X
ejpam-5956	600	2	(	(	PUNCT
ejpam-5956	600	3	f	f	PROPN
ejpam-5956	600	4	)	)	PUNCT
ejpam-5956	600	5	,	,	PUNCT
ejpam-5956	600	6	q	q	PROPN
ejpam-5956	600	7	∈	∈	PROPN
ejpam-5956	600	8	(	(	PUNCT
ejpam-5956	600	9	i3	i3	NOUN
ejpam-5956	600	10	)	)	PUNCT
ejpam-5956	600	11	υ	υ	PROPN
ejpam-5956	600	12	,	,	PUNCT
ejpam-5956	600	13	σ	σ	PROPN
ejpam-5956	600	14	(	(	PUNCT
ejpam-5956	600	15	q	q	NOUN
ejpam-5956	600	16	)	)	PUNCT
ejpam-5956	600	17	≥	≥	NOUN
ejpam-5956	600	18	⟨ς	⟨ς	NOUN
ejpam-5956	600	19	,	,	PUNCT
ejpam-5956	600	20	κ	κ	NOUN
ejpam-5956	600	21	,	,	PUNCT
ejpam-5956	600	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	600	23	and	and	CCONJ
ejpam-5956	600	24	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	600	25	,	,	PUNCT
ejpam-5956	600	26	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	600	27	∈	∈	PROPN
ejpam-5956	600	28	fl	fl	PROPN
ejpam-5956	600	29	(	(	PUNCT
ejpam-5956	600	30	q	q	PROPN
ejpam-5956	600	31	)	)	PUNCT
ejpam-5956	600	32	.	.	PUNCT
ejpam-5956	601	1	then	then	ADV
ejpam-5956	601	2	,	,	PUNCT
ejpam-5956	601	3	by	by	ADP
ejpam-5956	601	4	(	(	PUNCT
ejpam-5956	601	5	3	3	X
ejpam-5956	601	6	)	)	PUNCT
ejpam-5956	601	7	and	and	CCONJ
ejpam-5956	601	8	q	q	NOUN
ejpam-5956	601	9	⊆	⊆	NUM
ejpam-5956	601	10	intσ(cl	intσ(cl	PROPN
ejpam-5956	601	11	∗	∗	NOUN
ejpam-5956	601	12	(	(	PUNCT
ejpam-5956	601	13	q	q	NOUN
ejpam-5956	601	14	,	,	PUNCT
ejpam-5956	601	15	⟨ς	⟨ς	NOUN
ejpam-5956	601	16	,	,	PUNCT
ejpam-5956	601	17	κ	κ	NOUN
ejpam-5956	601	18	,	,	PUNCT
ejpam-5956	601	19	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	601	20	)	)	PUNCT
ejpam-5956	601	21	,	,	PUNCT
ejpam-5956	601	22	⟨ς	⟨ς	X
ejpam-5956	601	23	,	,	PUNCT
ejpam-5956	601	24	κ	κ	NOUN
ejpam-5956	601	25	,	,	PUNCT
ejpam-5956	601	26	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	601	27	)	)	PUNCT
ejpam-5956	601	28	,	,	PUNCT
ejpam-5956	601	29	τ	τ	PROPN
ejpam-5956	601	30	(	(	PUNCT
ejpam-5956	601	31	fl(intσ(cl	fl(intσ(cl	NOUN
ejpam-5956	601	32	∗	∗	NOUN
ejpam-5956	601	33	(	(	PUNCT
ejpam-5956	601	34	q	q	NOUN
ejpam-5956	601	35	,	,	PUNCT
ejpam-5956	601	36	⟨ς	⟨ς	NOUN
ejpam-5956	601	37	,	,	PUNCT
ejpam-5956	601	38	κ	κ	NOUN
ejpam-5956	601	39	,	,	PUNCT
ejpam-5956	601	40	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	601	41	)	)	PUNCT
ejpam-5956	601	42	,	,	PUNCT
ejpam-5956	601	43	⟨ς	⟨ς	X
ejpam-5956	601	44	,	,	PUNCT
ejpam-5956	601	45	κ	κ	NOUN
ejpam-5956	601	46	,	,	PUNCT
ejpam-5956	601	47	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	601	48	)	)	PUNCT
ejpam-5956	601	49	)	)	PUNCT
ejpam-5956	601	50	)	)	PUNCT
ejpam-5956	601	51	≥	≥	X
ejpam-5956	601	52	⟨ς	⟨ς	NOUN
ejpam-5956	601	53	,	,	PUNCT
ejpam-5956	601	54	κ	κ	NOUN
ejpam-5956	601	55	,	,	PUNCT
ejpam-5956	601	56	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	601	57	,	,	PUNCT
ejpam-5956	601	58	and	and	CCONJ
ejpam-5956	601	59	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	601	60	,	,	PUNCT
ejpam-5956	601	61	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	601	62	∈	∈	PROPN
ejpam-5956	601	63	fl	fl	PROPN
ejpam-5956	601	64	(	(	PUNCT
ejpam-5956	601	65	q	q	X
ejpam-5956	601	66	)	)	PUNCT
ejpam-5956	601	67	⊆	⊆	NUM
ejpam-5956	601	68	fl(intσ(cl	fl(intσ(cl	NOUN
ejpam-5956	601	69	∗	∗	NOUN
ejpam-5956	601	70	(	(	PUNCT
ejpam-5956	601	71	q	q	NOUN
ejpam-5956	601	72	,	,	PUNCT
ejpam-5956	601	73	⟨ς	⟨ς	NOUN
ejpam-5956	601	74	,	,	PUNCT
ejpam-5956	601	75	κ	κ	NOUN
ejpam-5956	601	76	,	,	PUNCT
ejpam-5956	601	77	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	601	78	)	)	PUNCT
ejpam-5956	601	79	,	,	PUNCT
ejpam-5956	601	80	⟨ς	⟨ς	X
ejpam-5956	601	81	,	,	PUNCT
ejpam-5956	601	82	κ	κ	NOUN
ejpam-5956	601	83	,	,	PUNCT
ejpam-5956	601	84	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	601	85	)	)	PUNCT
ejpam-5956	601	86	)	)	PUNCT
ejpam-5956	601	87	.	.	PUNCT
ejpam-5956	602	1	thus	thus	ADV
ejpam-5956	602	2	,	,	PUNCT
ejpam-5956	602	3	f	f	PROPN
ejpam-5956	602	4	is	be	AUX
ejpam-5956	602	5	pf	pf	PROPN
ejpam-5956	602	6	la	la	ADV
ejpam-5956	602	7	ℓp	ℓp	ADJ
ejpam-5956	602	8	-continuous	-continuous	ADJ
ejpam-5956	602	9	.	.	PUNCT
ejpam-5956	603	1	the	the	DET
ejpam-5956	603	2	following	follow	VERB
ejpam-5956	603	3	theorems	theorem	NOUN
ejpam-5956	603	4	are	be	AUX
ejpam-5956	603	5	similarly	similarly	ADV
ejpam-5956	603	6	proved	prove	VERB
ejpam-5956	603	7	as	as	ADP
ejpam-5956	603	8	the	the	DET
ejpam-5956	603	9	proof	proof	NOUN
ejpam-5956	603	10	of	of	ADP
ejpam-5956	603	11	theorem	theorem	ADJ
ejpam-5956	603	12	3.7	3.7	NUM
ejpam-5956	603	13	.	.	PUNCT
ejpam-5956	604	1	theorem	theorem	VERB
ejpam-5956	604	2	3.8	3.8	NUM
ejpam-5956	604	3	.	.	PUNCT
ejpam-5956	605	1	for	for	ADP
ejpam-5956	605	2	a	a	DET
ejpam-5956	605	3	pfm	pfm	NOUN
ejpam-5956	605	4	f	f	NOUN
ejpam-5956	605	5	:	:	PUNCT
ejpam-5956	605	6	(	(	PUNCT
ejpam-5956	605	7	ξ	ξ	X
ejpam-5956	605	8	,	,	PUNCT
ejpam-5956	605	9	τ	τ	X
ejpam-5956	605	10	)	)	PUNCT
ejpam-5956	605	11	↬	↬	PROPN
ejpam-5956	605	12	(	(	PUNCT
ejpam-5956	605	13	υ	υ	PROPN
ejpam-5956	605	14	,	,	PUNCT
ejpam-5956	605	15	σ	σ	PROPN
ejpam-5956	605	16	,	,	PUNCT
ejpam-5956	605	17	ℓp	ℓp	NOUN
ejpam-5956	605	18	)	)	PUNCT
ejpam-5956	605	19	,	,	PUNCT
ejpam-5956	605	20	q	q	PROPN
ejpam-5956	605	21	∈	∈	PROPN
ejpam-5956	605	22	(	(	PUNCT
ejpam-5956	605	23	i3	i3	NOUN
ejpam-5956	605	24	)	)	PUNCT
ejpam-5956	605	25	υ	υ	NOUN
ejpam-5956	605	26	,	,	PUNCT
ejpam-5956	605	27	ς	ς	PROPN
ejpam-5956	605	28	∈	∈	PROPN
ejpam-5956	605	29	i0,κ	i0,κ	PROPN
ejpam-5956	605	30	∈	∈	PROPN
ejpam-5956	605	31	i1	i1	PROPN
ejpam-5956	605	32	and	and	CCONJ
ejpam-5956	605	33	ϑ	ϑ	PROPN
ejpam-5956	605	34	∈	∈	PROPN
ejpam-5956	605	35	i1	i1	PROPN
ejpam-5956	605	36	,	,	PUNCT
ejpam-5956	605	37	the	the	DET
ejpam-5956	605	38	following	following	ADJ
ejpam-5956	605	39	statements	statement	NOUN
ejpam-5956	605	40	are	be	AUX
ejpam-5956	605	41	equivalent	equivalent	ADJ
ejpam-5956	605	42	:	:	PUNCT
ejpam-5956	605	43	(	(	PUNCT
ejpam-5956	605	44	1	1	X
ejpam-5956	605	45	)	)	PUNCT
ejpam-5956	605	46	f	f	PROPN
ejpam-5956	605	47	is	be	AUX
ejpam-5956	605	48	pf	pf	PROPN
ejpam-5956	605	49	la	la	ADV
ejpam-5956	605	50	ℓp	ℓp	ADJ
ejpam-5956	605	51	-continuous	-continuous	ADJ
ejpam-5956	605	52	.	.	PUNCT
ejpam-5956	606	1	(	(	PUNCT
ejpam-5956	606	2	2	2	X
ejpam-5956	606	3	)	)	PUNCT
ejpam-5956	606	4	τ	τ	PROPN
ejpam-5956	606	5	(	(	PUNCT
ejpam-5956	606	6	ⅎfu	ⅎfu	NOUN
ejpam-5956	606	7	(	(	PUNCT
ejpam-5956	606	8	q	q	NOUN
ejpam-5956	606	9	)	)	PUNCT
ejpam-5956	606	10	)	)	PUNCT
ejpam-5956	606	11	≥	≥	NOUN
ejpam-5956	606	12	⟨ς	⟨ς	NOUN
ejpam-5956	606	13	,	,	PUNCT
ejpam-5956	606	14	κ	κ	NOUN
ejpam-5956	606	15	,	,	PUNCT
ejpam-5956	606	16	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	606	17	,	,	PUNCT
ejpam-5956	606	18	if	if	SCONJ
ejpam-5956	606	19	q	q	PRON
ejpam-5956	606	20	=	=	NOUN
ejpam-5956	606	21	clσ(int	clσ(int	NOUN
ejpam-5956	606	22	∗	∗	NOUN
ejpam-5956	606	23	(	(	PUNCT
ejpam-5956	606	24	q	q	NOUN
ejpam-5956	606	25	,	,	PUNCT
ejpam-5956	606	26	⟨ς	⟨ς	NOUN
ejpam-5956	606	27	,	,	PUNCT
ejpam-5956	606	28	κ	κ	NOUN
ejpam-5956	606	29	,	,	PUNCT
ejpam-5956	606	30	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	606	31	)	)	PUNCT
ejpam-5956	606	32	,	,	PUNCT
ejpam-5956	606	33	⟨ς	⟨ς	X
ejpam-5956	606	34	,	,	PUNCT
ejpam-5956	606	35	κ	κ	NOUN
ejpam-5956	606	36	,	,	PUNCT
ejpam-5956	606	37	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	606	38	)	)	PUNCT
ejpam-5956	606	39	.	.	PUNCT
ejpam-5956	607	1	(	(	PUNCT
ejpam-5956	607	2	3	3	X
ejpam-5956	607	3	)	)	PUNCT
ejpam-5956	607	4	τ	τ	PROPN
ejpam-5956	607	5	(	(	PUNCT
ejpam-5956	607	6	ⅎfu(clσ(int	ⅎfu(clσ(int	NOUN
ejpam-5956	607	7	∗	∗	NOUN
ejpam-5956	607	8	(	(	PUNCT
ejpam-5956	607	9	q	q	NOUN
ejpam-5956	607	10	,	,	PUNCT
ejpam-5956	607	11	⟨ς	⟨ς	NOUN
ejpam-5956	607	12	,	,	PUNCT
ejpam-5956	607	13	κ	κ	NOUN
ejpam-5956	607	14	,	,	PUNCT
ejpam-5956	607	15	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	607	16	)	)	PUNCT
ejpam-5956	607	17	,	,	PUNCT
ejpam-5956	607	18	⟨ς	⟨ς	X
ejpam-5956	607	19	,	,	PUNCT
ejpam-5956	607	20	κ	κ	NOUN
ejpam-5956	607	21	,	,	PUNCT
ejpam-5956	607	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	607	23	)	)	PUNCT
ejpam-5956	607	24	)	)	PUNCT
ejpam-5956	607	25	)	)	PUNCT
ejpam-5956	607	26	≥	≥	NUM
ejpam-5956	607	27	⟨ς	⟨ς	NOUN
ejpam-5956	607	28	,	,	PUNCT
ejpam-5956	607	29	κ	κ	NOUN
ejpam-5956	607	30	,	,	PUNCT
ejpam-5956	607	31	ϑ⟩	ϑ⟩	VERB
ejpam-5956	607	32	if	if	SCONJ
ejpam-5956	607	33	σ(ⅎ	σ(ⅎ	PROPN
ejpam-5956	607	34	q	q	X
ejpam-5956	607	35	)	)	PUNCT
ejpam-5956	607	36	≥	≥	NOUN
ejpam-5956	607	37	⟨ς	⟨ς	NOUN
ejpam-5956	607	38	,	,	PUNCT
ejpam-5956	607	39	κ	κ	NOUN
ejpam-5956	607	40	,	,	PUNCT
ejpam-5956	607	41	ϑ⟩.	ϑ⟩.	PROPN
ejpam-5956	607	42	theorem	theorem	VERB
ejpam-5956	607	43	3.9	3.9	NUM
ejpam-5956	607	44	.	.	PUNCT
ejpam-5956	608	1	for	for	ADP
ejpam-5956	608	2	a	a	DET
ejpam-5956	608	3	normalized	normalize	VERB
ejpam-5956	608	4	pfm	pfm	NOUN
ejpam-5956	608	5	f	f	NOUN
ejpam-5956	608	6	:	:	PUNCT
ejpam-5956	608	7	(	(	PUNCT
ejpam-5956	608	8	ξ	ξ	X
ejpam-5956	608	9	,	,	PUNCT
ejpam-5956	608	10	τ	τ	X
ejpam-5956	608	11	)	)	PUNCT
ejpam-5956	608	12	↬	↬	PROPN
ejpam-5956	608	13	(	(	PUNCT
ejpam-5956	608	14	υ	υ	PROPN
ejpam-5956	608	15	,	,	PUNCT
ejpam-5956	608	16	σ	σ	PROPN
ejpam-5956	608	17	,	,	PUNCT
ejpam-5956	608	18	ℓp	ℓp	NOUN
ejpam-5956	608	19	)	)	PUNCT
ejpam-5956	608	20	,	,	PUNCT
ejpam-5956	608	21	q	q	PROPN
ejpam-5956	608	22	∈	∈	PROPN
ejpam-5956	608	23	(	(	PUNCT
ejpam-5956	608	24	i3	i3	NOUN
ejpam-5956	608	25	)	)	PUNCT
ejpam-5956	608	26	υ	υ	NOUN
ejpam-5956	608	27	,	,	PUNCT
ejpam-5956	608	28	ς	ς	PROPN
ejpam-5956	608	29	∈	∈	PROPN
ejpam-5956	608	30	i0,κ	i0,κ	PROPN
ejpam-5956	608	31	∈	∈	PROPN
ejpam-5956	608	32	i1	i1	PROPN
ejpam-5956	608	33	and	and	CCONJ
ejpam-5956	608	34	ϑ	ϑ	PROPN
ejpam-5956	608	35	∈	∈	PROPN
ejpam-5956	608	36	i1	i1	PROPN
ejpam-5956	608	37	,	,	PUNCT
ejpam-5956	608	38	the	the	DET
ejpam-5956	608	39	following	following	ADJ
ejpam-5956	608	40	statements	statement	NOUN
ejpam-5956	608	41	are	be	AUX
ejpam-5956	608	42	equivalent	equivalent	ADJ
ejpam-5956	608	43	:	:	PUNCT
ejpam-5956	608	44	(	(	PUNCT
ejpam-5956	608	45	1	1	X
ejpam-5956	608	46	)	)	PUNCT
ejpam-5956	608	47	f	f	PROPN
ejpam-5956	608	48	is	be	AUX
ejpam-5956	608	49	pf	pf	PROPN
ejpam-5956	608	50	ua	ua	NOUN
ejpam-5956	608	51	ℓp	ℓp	ADJ
ejpam-5956	608	52	-continuous	-continuous	ADJ
ejpam-5956	608	53	.	.	PUNCT
ejpam-5956	609	1	(	(	PUNCT
ejpam-5956	609	2	2	2	X
ejpam-5956	609	3	)	)	PUNCT
ejpam-5956	609	4	τ	τ	PROPN
ejpam-5956	609	5	(	(	PUNCT
ejpam-5956	609	6	fu	fu	NOUN
ejpam-5956	609	7	(	(	PUNCT
ejpam-5956	609	8	q	q	NOUN
ejpam-5956	609	9	)	)	PUNCT
ejpam-5956	609	10	)	)	PUNCT
ejpam-5956	609	11	≥	≥	NOUN
ejpam-5956	609	12	⟨ς	⟨ς	NOUN
ejpam-5956	609	13	,	,	PUNCT
ejpam-5956	609	14	κ	κ	NOUN
ejpam-5956	609	15	,	,	PUNCT
ejpam-5956	609	16	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	609	17	,	,	PUNCT
ejpam-5956	609	18	if	if	SCONJ
ejpam-5956	609	19	q	q	PRON
ejpam-5956	609	20	=	=	SYM
ejpam-5956	609	21	intσ(cl	intσ(cl	NOUN
ejpam-5956	609	22	∗	∗	NOUN
ejpam-5956	609	23	(	(	PUNCT
ejpam-5956	609	24	q	q	NOUN
ejpam-5956	609	25	,	,	PUNCT
ejpam-5956	609	26	⟨ς	⟨ς	NOUN
ejpam-5956	609	27	,	,	PUNCT
ejpam-5956	609	28	κ	κ	NOUN
ejpam-5956	609	29	,	,	PUNCT
ejpam-5956	609	30	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	609	31	)	)	PUNCT
ejpam-5956	609	32	,	,	PUNCT
ejpam-5956	609	33	⟨ς	⟨ς	X
ejpam-5956	609	34	,	,	PUNCT
ejpam-5956	609	35	κ	κ	NOUN
ejpam-5956	609	36	,	,	PUNCT
ejpam-5956	609	37	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	609	38	)	)	PUNCT
ejpam-5956	609	39	.	.	PUNCT
ejpam-5956	610	1	(	(	PUNCT
ejpam-5956	610	2	3	3	X
ejpam-5956	610	3	)	)	PUNCT
ejpam-5956	610	4	τ	τ	PROPN
ejpam-5956	610	5	(	(	PUNCT
ejpam-5956	610	6	fu(intσ(cl	fu(intσ(cl	PROPN
ejpam-5956	610	7	∗	∗	X
ejpam-5956	610	8	(	(	PUNCT
ejpam-5956	610	9	q	q	NOUN
ejpam-5956	610	10	,	,	PUNCT
ejpam-5956	610	11	⟨ς	⟨ς	NOUN
ejpam-5956	610	12	,	,	PUNCT
ejpam-5956	610	13	κ	κ	NOUN
ejpam-5956	610	14	,	,	PUNCT
ejpam-5956	610	15	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	610	16	)	)	PUNCT
ejpam-5956	610	17	,	,	PUNCT
ejpam-5956	610	18	⟨ς	⟨ς	X
ejpam-5956	610	19	,	,	PUNCT
ejpam-5956	610	20	κ	κ	NOUN
ejpam-5956	610	21	,	,	PUNCT
ejpam-5956	610	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	610	23	)	)	PUNCT
ejpam-5956	610	24	)	)	PUNCT
ejpam-5956	610	25	)	)	PUNCT
ejpam-5956	610	26	≥	≥	NUM
ejpam-5956	610	27	⟨ς	⟨ς	NOUN
ejpam-5956	610	28	,	,	PUNCT
ejpam-5956	610	29	κ	κ	NOUN
ejpam-5956	610	30	,	,	PUNCT
ejpam-5956	610	31	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	610	32	if	if	SCONJ
ejpam-5956	610	33	σ	σ	PROPN
ejpam-5956	610	34	(	(	PUNCT
ejpam-5956	610	35	q	q	PROPN
ejpam-5956	610	36	)	)	PUNCT
ejpam-5956	610	37	≥	≥	NOUN
ejpam-5956	610	38	⟨ς	⟨ς	NOUN
ejpam-5956	610	39	,	,	PUNCT
ejpam-5956	610	40	κ	κ	NOUN
ejpam-5956	610	41	,	,	PUNCT
ejpam-5956	610	42	ϑ⟩.	ϑ⟩.	PROPN
ejpam-5956	610	43	theorem	theorem	VERB
ejpam-5956	610	44	3.10	3.10	NUM
ejpam-5956	610	45	.	.	PUNCT
ejpam-5956	611	1	for	for	ADP
ejpam-5956	611	2	a	a	DET
ejpam-5956	611	3	normalized	normalize	VERB
ejpam-5956	611	4	pfm	pfm	NOUN
ejpam-5956	611	5	f	f	NOUN
ejpam-5956	611	6	:	:	PUNCT
ejpam-5956	611	7	(	(	PUNCT
ejpam-5956	611	8	ξ	ξ	X
ejpam-5956	611	9	,	,	PUNCT
ejpam-5956	611	10	τ	τ	X
ejpam-5956	611	11	)	)	PUNCT
ejpam-5956	611	12	↬	↬	PROPN
ejpam-5956	611	13	(	(	PUNCT
ejpam-5956	611	14	υ	υ	PROPN
ejpam-5956	611	15	,	,	PUNCT
ejpam-5956	611	16	σ	σ	PROPN
ejpam-5956	611	17	,	,	PUNCT
ejpam-5956	611	18	ℓp	ℓp	NOUN
ejpam-5956	611	19	)	)	PUNCT
ejpam-5956	611	20	,	,	PUNCT
ejpam-5956	611	21	q	q	PROPN
ejpam-5956	611	22	∈	∈	PROPN
ejpam-5956	611	23	(	(	PUNCT
ejpam-5956	611	24	i3	i3	NOUN
ejpam-5956	611	25	)	)	PUNCT
ejpam-5956	611	26	υ	υ	NOUN
ejpam-5956	611	27	,	,	PUNCT
ejpam-5956	611	28	ς	ς	PROPN
ejpam-5956	611	29	∈	∈	PROPN
ejpam-5956	611	30	i0,κ	i0,κ	PROPN
ejpam-5956	611	31	∈	∈	PROPN
ejpam-5956	611	32	i1	i1	PROPN
ejpam-5956	611	33	and	and	CCONJ
ejpam-5956	611	34	ϑ	ϑ	PROPN
ejpam-5956	611	35	∈	∈	PROPN
ejpam-5956	611	36	i1	i1	PROPN
ejpam-5956	611	37	,	,	PUNCT
ejpam-5956	611	38	the	the	DET
ejpam-5956	611	39	following	following	ADJ
ejpam-5956	611	40	statements	statement	NOUN
ejpam-5956	611	41	are	be	AUX
ejpam-5956	611	42	equivalent	equivalent	ADJ
ejpam-5956	611	43	:	:	PUNCT
ejpam-5956	611	44	(	(	PUNCT
ejpam-5956	611	45	1	1	X
ejpam-5956	611	46	)	)	PUNCT
ejpam-5956	611	47	f	f	PROPN
ejpam-5956	611	48	is	be	AUX
ejpam-5956	611	49	pf	pf	PROPN
ejpam-5956	611	50	ua	ua	NOUN
ejpam-5956	611	51	ℓp	ℓp	ADJ
ejpam-5956	611	52	-continuous	-continuous	ADJ
ejpam-5956	611	53	.	.	PUNCT
ejpam-5956	612	1	(	(	PUNCT
ejpam-5956	612	2	2	2	X
ejpam-5956	612	3	)	)	PUNCT
ejpam-5956	612	4	τ	τ	PROPN
ejpam-5956	612	5	(	(	PUNCT
ejpam-5956	612	6	ⅎfl	ⅎfl	PROPN
ejpam-5956	612	7	(	(	PUNCT
ejpam-5956	612	8	q	q	NOUN
ejpam-5956	612	9	)	)	PUNCT
ejpam-5956	612	10	)	)	PUNCT
ejpam-5956	612	11	≥	≥	PROPN
ejpam-5956	612	12	⟨ς	⟨ς	NOUN
ejpam-5956	612	13	,	,	PUNCT
ejpam-5956	612	14	κ	κ	NOUN
ejpam-5956	612	15	,	,	PUNCT
ejpam-5956	612	16	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	612	17	if	if	SCONJ
ejpam-5956	612	18	q	q	PROPN
ejpam-5956	612	19	=	=	NOUN
ejpam-5956	612	20	clσ(int	clσ(int	NOUN
ejpam-5956	612	21	∗	∗	NOUN
ejpam-5956	612	22	(	(	PUNCT
ejpam-5956	612	23	q	q	NOUN
ejpam-5956	612	24	,	,	PUNCT
ejpam-5956	612	25	⟨ς	⟨ς	NOUN
ejpam-5956	612	26	,	,	PUNCT
ejpam-5956	612	27	κ	κ	NOUN
ejpam-5956	612	28	,	,	PUNCT
ejpam-5956	612	29	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	612	30	)	)	PUNCT
ejpam-5956	612	31	,	,	PUNCT
ejpam-5956	612	32	⟨ς	⟨ς	X
ejpam-5956	612	33	,	,	PUNCT
ejpam-5956	612	34	κ	κ	NOUN
ejpam-5956	612	35	,	,	PUNCT
ejpam-5956	612	36	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	612	37	)	)	PUNCT
ejpam-5956	612	38	.	.	PUNCT
ejpam-5956	613	1	(	(	PUNCT
ejpam-5956	613	2	3	3	X
ejpam-5956	613	3	)	)	PUNCT
ejpam-5956	613	4	τ	τ	PROPN
ejpam-5956	613	5	(	(	PUNCT
ejpam-5956	613	6	ⅎfl(clσ(int	ⅎfl(clσ(int	NOUN
ejpam-5956	613	7	∗	∗	NOUN
ejpam-5956	613	8	(	(	PUNCT
ejpam-5956	613	9	q	q	NOUN
ejpam-5956	613	10	,	,	PUNCT
ejpam-5956	613	11	⟨ς	⟨ς	NOUN
ejpam-5956	613	12	,	,	PUNCT
ejpam-5956	613	13	κ	κ	NOUN
ejpam-5956	613	14	,	,	PUNCT
ejpam-5956	613	15	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	613	16	)	)	PUNCT
ejpam-5956	613	17	,	,	PUNCT
ejpam-5956	613	18	⟨ς	⟨ς	X
ejpam-5956	613	19	,	,	PUNCT
ejpam-5956	613	20	κ	κ	NOUN
ejpam-5956	613	21	,	,	PUNCT
ejpam-5956	613	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	613	23	)	)	PUNCT
ejpam-5956	613	24	)	)	PUNCT
ejpam-5956	613	25	)	)	PUNCT
ejpam-5956	613	26	≥	≥	X
ejpam-5956	613	27	⟨ς	⟨ς	NOUN
ejpam-5956	613	28	,	,	PUNCT
ejpam-5956	613	29	κ	κ	NOUN
ejpam-5956	613	30	,	,	PUNCT
ejpam-5956	613	31	ϑ⟩	ϑ⟩	VERB
ejpam-5956	613	32	if	if	SCONJ
ejpam-5956	613	33	σ(ⅎ	σ(ⅎ	PROPN
ejpam-5956	613	34	q	q	X
ejpam-5956	613	35	)	)	PUNCT
ejpam-5956	613	36	≥	≥	NOUN
ejpam-5956	613	37	⟨ς	⟨ς	NOUN
ejpam-5956	613	38	,	,	PUNCT
ejpam-5956	613	39	κ	κ	NOUN
ejpam-5956	613	40	,	,	PUNCT
ejpam-5956	613	41	ϑ⟩.	ϑ⟩.	PROPN
ejpam-5956	613	42	theorem	theorem	VERB
ejpam-5956	613	43	3.11	3.11	NUM
ejpam-5956	613	44	.	.	PUNCT
ejpam-5956	614	1	let	let	VERB
ejpam-5956	614	2	f	f	NOUN
ejpam-5956	614	3	:	:	PUNCT
ejpam-5956	614	4	(	(	PUNCT
ejpam-5956	614	5	ξ	ξ	X
ejpam-5956	614	6	,	,	PUNCT
ejpam-5956	614	7	τ	τ	X
ejpam-5956	614	8	)	)	PUNCT
ejpam-5956	614	9	↬	↬	PROPN
ejpam-5956	614	10	(	(	PUNCT
ejpam-5956	614	11	υ	υ	PROPN
ejpam-5956	614	12	,	,	PUNCT
ejpam-5956	614	13	σ	σ	PROPN
ejpam-5956	614	14	,	,	PUNCT
ejpam-5956	614	15	ℓp	ℓp	ADJ
ejpam-5956	614	16	)	)	PUNCT
ejpam-5956	614	17	be	be	AUX
ejpam-5956	614	18	a	a	DET
ejpam-5956	614	19	pfm	pfm	NOUN
ejpam-5956	614	20	.	.	PUNCT
ejpam-5956	615	1	then	then	ADV
ejpam-5956	615	2	,	,	PUNCT
ejpam-5956	615	3	f	f	PROPN
ejpam-5956	615	4	is	be	AUX
ejpam-5956	615	5	pf	pf	PROPN
ejpam-5956	615	6	la	la	PRON
ejpam-5956	615	7	ℓp	ℓp	ADJ
ejpam-5956	615	8	-continuous	-continuous	ADJ
ejpam-5956	615	9	iff	iff	PROPN
ejpam-5956	615	10	clτ	clτ	NOUN
ejpam-5956	615	11	(	(	PUNCT
ejpam-5956	615	12	fu	fu	NOUN
ejpam-5956	615	13	(	(	PUNCT
ejpam-5956	615	14	q	q	PROPN
ejpam-5956	615	15	)	)	PUNCT
ejpam-5956	615	16	,	,	PUNCT
ejpam-5956	615	17	⟨ς	⟨ς	NOUN
ejpam-5956	615	18	,	,	PUNCT
ejpam-5956	615	19	κ	κ	NOUN
ejpam-5956	615	20	,	,	PUNCT
ejpam-5956	615	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	615	22	)	)	PUNCT
ejpam-5956	615	23	⊆	⊆	NUM
ejpam-5956	615	24	fu(clσ	fu(clσ	PROPN
ejpam-5956	615	25	(	(	PUNCT
ejpam-5956	615	26	q	q	X
ejpam-5956	615	27	,	,	PUNCT
ejpam-5956	615	28	⟨ς	⟨ς	NOUN
ejpam-5956	615	29	,	,	PUNCT
ejpam-5956	615	30	κ	κ	NOUN
ejpam-5956	615	31	,	,	PUNCT
ejpam-5956	615	32	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	615	33	)	)	PUNCT
ejpam-5956	615	34	)	)	PUNCT
ejpam-5956	615	35	for	for	ADP
ejpam-5956	615	36	any	any	DET
ejpam-5956	615	37	q	q	NOUN
ejpam-5956	615	38	∈	∈	PROPN
ejpam-5956	615	39	(	(	PUNCT
ejpam-5956	615	40	i3	i3	NOUN
ejpam-5956	615	41	)	)	PUNCT
ejpam-5956	615	42	υ	υ	NOUN
ejpam-5956	615	43	with	with	ADP
ejpam-5956	615	44	q	q	NOUN
ejpam-5956	615	45	⊆	⊆	NUM
ejpam-5956	615	46	clσ(int	clσ(int	NOUN
ejpam-5956	615	47	∗	∗	NOUN
ejpam-5956	615	48	(	(	PUNCT
ejpam-5956	615	49	q	q	NOUN
ejpam-5956	615	50	,	,	PUNCT
ejpam-5956	615	51	⟨ς	⟨ς	NOUN
ejpam-5956	615	52	,	,	PUNCT
ejpam-5956	615	53	κ	κ	NOUN
ejpam-5956	615	54	,	,	PUNCT
ejpam-5956	615	55	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	615	56	)	)	PUNCT
ejpam-5956	615	57	,	,	PUNCT
ejpam-5956	615	58	⟨ς	⟨ς	X
ejpam-5956	615	59	,	,	PUNCT
ejpam-5956	615	60	κ	κ	NOUN
ejpam-5956	615	61	,	,	PUNCT
ejpam-5956	615	62	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	615	63	)	)	PUNCT
ejpam-5956	615	64	,	,	PUNCT
ejpam-5956	615	65	ς	ς	PROPN
ejpam-5956	615	66	∈	∈	PROPN
ejpam-5956	615	67	i0,κ	i0,κ	PROPN
ejpam-5956	615	68	∈	∈	PROPN
ejpam-5956	615	69	i1	i1	PROPN
ejpam-5956	615	70	and	and	CCONJ
ejpam-5956	615	71	ϑ	ϑ	PROPN
ejpam-5956	615	72	∈	∈	PROPN
ejpam-5956	615	73	i1	i1	PROPN
ejpam-5956	615	74	.	.	PUNCT
ejpam-5956	616	1	proof	proof	NOUN
ejpam-5956	616	2	.	.	PUNCT
ejpam-5956	617	1	(	(	PUNCT
ejpam-5956	617	2	⇒	⇒	PROPN
ejpam-5956	617	3	)	)	PUNCT
ejpam-5956	617	4	let	let	VERB
ejpam-5956	617	5	f	f	PRON
ejpam-5956	617	6	be	be	AUX
ejpam-5956	617	7	a	a	DET
ejpam-5956	617	8	pf	pf	NOUN
ejpam-5956	617	9	la	la	NOUN
ejpam-5956	617	10	ℓp	ℓp	ADJ
ejpam-5956	617	11	-continuous	-continuous	ADJ
ejpam-5956	617	12	.	.	PUNCT
ejpam-5956	618	1	then	then	ADV
ejpam-5956	618	2	,	,	PUNCT
ejpam-5956	618	3	for	for	ADP
ejpam-5956	618	4	any	any	DET
ejpam-5956	618	5	q	q	NOUN
ejpam-5956	618	6	∈	∈	PROPN
ejpam-5956	618	7	(	(	PUNCT
ejpam-5956	618	8	i3	i3	NOUN
ejpam-5956	618	9	)	)	PUNCT
ejpam-5956	618	10	υ	υ	NOUN
ejpam-5956	618	11	with	with	ADP
ejpam-5956	618	12	q⊆	q⊆	NOUN
ejpam-5956	618	13	clσ(int	clσ(int	NOUN
ejpam-5956	618	14	∗	∗	NOUN
ejpam-5956	618	15	(	(	PUNCT
ejpam-5956	618	16	q	q	NOUN
ejpam-5956	618	17	,	,	PUNCT
ejpam-5956	618	18	⟨ς	⟨ς	NOUN
ejpam-5956	618	19	,	,	PUNCT
ejpam-5956	618	20	κ	κ	NOUN
ejpam-5956	618	21	,	,	PUNCT
ejpam-5956	618	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	618	23	)	)	PUNCT
ejpam-5956	618	24	,	,	PUNCT
ejpam-5956	618	25	⟨ς	⟨ς	X
ejpam-5956	618	26	,	,	PUNCT
ejpam-5956	618	27	κ	κ	NOUN
ejpam-5956	618	28	,	,	PUNCT
ejpam-5956	618	29	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	618	30	)	)	PUNCT
ejpam-5956	618	31	=	=	SYM
ejpam-5956	618	32	d(say	d(say	ADJ
ejpam-5956	618	33	)	)	PUNCT
ejpam-5956	618	34	,	,	PUNCT
ejpam-5956	618	35	where	where	SCONJ
ejpam-5956	618	36	d=	d=	ADJ
ejpam-5956	618	37	clσ(int	clσ(int	NOUN
ejpam-5956	618	38	∗	∗	NOUN
ejpam-5956	618	39	(	(	PUNCT
ejpam-5956	618	40	d	d	NOUN
ejpam-5956	618	41	,	,	PUNCT
ejpam-5956	618	42	⟨ς	⟨ς	NOUN
ejpam-5956	618	43	,	,	PUNCT
ejpam-5956	618	44	κ	κ	NOUN
ejpam-5956	618	45	,	,	PUNCT
ejpam-5956	618	46	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	618	47	)	)	PUNCT
ejpam-5956	618	48	,	,	PUNCT
ejpam-5956	618	49	⟨ς	⟨ς	X
ejpam-5956	618	50	,	,	PUNCT
ejpam-5956	618	51	κ	κ	NOUN
ejpam-5956	618	52	,	,	PUNCT
ejpam-5956	618	53	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	618	54	)	)	PUNCT
ejpam-5956	618	55	.	.	PUNCT
ejpam-5956	619	1	by	by	ADP
ejpam-5956	619	2	theorem	theorem	NOUN
ejpam-5956	619	3	3.7	3.7	NUM
ejpam-5956	619	4	,	,	PUNCT
ejpam-5956	619	5	τ	τ	PROPN
ejpam-5956	619	6	(	(	PUNCT
ejpam-5956	619	7	ⅎ	ⅎ	X
ejpam-5956	619	8	fu	fu	NOUN
ejpam-5956	619	9	(	(	PUNCT
ejpam-5956	619	10	d	d	NOUN
ejpam-5956	619	11	)	)	PUNCT
ejpam-5956	619	12	)	)	PUNCT
ejpam-5956	619	13	≥	≥	NOUN
ejpam-5956	619	14	⟨ς	⟨ς	NOUN
ejpam-5956	619	15	,	,	PUNCT
ejpam-5956	619	16	κ	κ	NOUN
ejpam-5956	619	17	,	,	PUNCT
ejpam-5956	619	18	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	619	19	,	,	PUNCT
ejpam-5956	619	20	and	and	CCONJ
ejpam-5956	619	21	thus	thus	ADV
ejpam-5956	619	22	clτ	clτ	VERB
ejpam-5956	619	23	(	(	PUNCT
ejpam-5956	619	24	fu	fu	NOUN
ejpam-5956	619	25	(	(	PUNCT
ejpam-5956	619	26	q	q	PROPN
ejpam-5956	619	27	)	)	PUNCT
ejpam-5956	619	28	,	,	PUNCT
ejpam-5956	619	29	⟨ς	⟨ς	NOUN
ejpam-5956	619	30	,	,	PUNCT
ejpam-5956	619	31	κ	κ	NOUN
ejpam-5956	619	32	,	,	PUNCT
ejpam-5956	619	33	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	619	34	)	)	PUNCT
ejpam-5956	619	35	⊆	⊆	NUM
ejpam-5956	619	36	clτ	clτ	NOUN
ejpam-5956	619	37	(	(	PUNCT
ejpam-5956	619	38	fu	fu	NOUN
ejpam-5956	619	39	(	(	PUNCT
ejpam-5956	619	40	d	d	PROPN
ejpam-5956	619	41	)	)	PUNCT
ejpam-5956	619	42	,	,	PUNCT
ejpam-5956	619	43	⟨ς	⟨ς	X
ejpam-5956	619	44	,	,	PUNCT
ejpam-5956	619	45	κ	κ	NOUN
ejpam-5956	619	46	,	,	PUNCT
ejpam-5956	619	47	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	619	48	)	)	PUNCT
ejpam-5956	619	49	=	=	SYM
ejpam-5956	619	50	fu(clσ(int	fu(clσ(int	NOUN
ejpam-5956	619	51	∗	∗	NOUN
ejpam-5956	619	52	(	(	PUNCT
ejpam-5956	619	53	d	d	NOUN
ejpam-5956	619	54	,	,	PUNCT
ejpam-5956	619	55	⟨ς	⟨ς	NOUN
ejpam-5956	619	56	,	,	PUNCT
ejpam-5956	619	57	κ	κ	NOUN
ejpam-5956	619	58	,	,	PUNCT
ejpam-5956	619	59	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	619	60	)	)	PUNCT
ejpam-5956	619	61	,	,	PUNCT
ejpam-5956	619	62	⟨ς	⟨ς	X
ejpam-5956	619	63	,	,	PUNCT
ejpam-5956	619	64	κ	κ	NOUN
ejpam-5956	619	65	,	,	PUNCT
ejpam-5956	619	66	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	619	67	)	)	PUNCT
ejpam-5956	619	68	)	)	PUNCT
ejpam-5956	620	1	⊆	⊆	X
ejpam-5956	620	2	fu(clσ	fu(clσ	PROPN
ejpam-5956	620	3	(	(	PUNCT
ejpam-5956	620	4	q	q	NOUN
ejpam-5956	620	5	,	,	PUNCT
ejpam-5956	620	6	⟨ς	⟨ς	NOUN
ejpam-5956	620	7	,	,	PUNCT
ejpam-5956	620	8	κ	κ	NOUN
ejpam-5956	620	9	,	,	PUNCT
ejpam-5956	620	10	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	620	11	)	)	PUNCT
ejpam-5956	620	12	)	)	PUNCT
ejpam-5956	620	13	.	.	PUNCT
ejpam-5956	621	1	(	(	PUNCT
ejpam-5956	621	2	⇐	⇐	NOUN
ejpam-5956	621	3	)	)	PUNCT
ejpam-5956	621	4	let	let	VERB
ejpam-5956	621	5	q	q	PROPN
ejpam-5956	621	6	∈	∈	PROPN
ejpam-5956	621	7	(	(	PUNCT
ejpam-5956	621	8	i3	i3	NOUN
ejpam-5956	621	9	)	)	PUNCT
ejpam-5956	621	10	υ	υ	NOUN
ejpam-5956	621	11	with	with	ADP
ejpam-5956	621	12	q	q	NOUN
ejpam-5956	621	13	=	=	PUNCT
ejpam-5956	621	14	clσ(int	clσ(int	NOUN
ejpam-5956	621	15	∗	∗	NOUN
ejpam-5956	621	16	(	(	PUNCT
ejpam-5956	621	17	q	q	NOUN
ejpam-5956	621	18	,	,	PUNCT
ejpam-5956	621	19	⟨ς	⟨ς	NOUN
ejpam-5956	621	20	,	,	PUNCT
ejpam-5956	621	21	κ	κ	NOUN
ejpam-5956	621	22	,	,	PUNCT
ejpam-5956	621	23	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	621	24	)	)	PUNCT
ejpam-5956	621	25	,	,	PUNCT
ejpam-5956	621	26	⟨ς	⟨ς	X
ejpam-5956	621	27	,	,	PUNCT
ejpam-5956	621	28	κ	κ	NOUN
ejpam-5956	621	29	,	,	PUNCT
ejpam-5956	621	30	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	621	31	)	)	PUNCT
ejpam-5956	621	32	.	.	PUNCT
ejpam-5956	622	1	then	then	ADV
ejpam-5956	622	2	,	,	PUNCT
ejpam-5956	622	3	q⊆	q⊆	VERB
ejpam-5956	622	4	clσ(int	clσ(int	NOUN
ejpam-5956	622	5	∗	∗	NOUN
ejpam-5956	622	6	(	(	PUNCT
ejpam-5956	622	7	q	q	NOUN
ejpam-5956	622	8	,	,	PUNCT
ejpam-5956	622	9	⟨ς	⟨ς	NOUN
ejpam-5956	622	10	,	,	PUNCT
ejpam-5956	622	11	κ	κ	NOUN
ejpam-5956	622	12	,	,	PUNCT
ejpam-5956	622	13	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	622	14	)	)	PUNCT
ejpam-5956	622	15	,	,	PUNCT
ejpam-5956	622	16	⟨ς	⟨ς	X
ejpam-5956	622	17	,	,	PUNCT
ejpam-5956	622	18	κ	κ	NOUN
ejpam-5956	622	19	,	,	PUNCT
ejpam-5956	622	20	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	622	21	)	)	PUNCT
ejpam-5956	622	22	,	,	PUNCT
ejpam-5956	622	23	and	and	CCONJ
ejpam-5956	622	24	clτ	clτ	NOUN
ejpam-5956	622	25	(	(	PUNCT
ejpam-5956	622	26	fu	fu	NOUN
ejpam-5956	622	27	(	(	PUNCT
ejpam-5956	622	28	q	q	PROPN
ejpam-5956	622	29	)	)	PUNCT
ejpam-5956	622	30	,	,	PUNCT
ejpam-5956	622	31	⟨ς	⟨ς	NOUN
ejpam-5956	622	32	,	,	PUNCT
ejpam-5956	622	33	κ	κ	NOUN
ejpam-5956	622	34	,	,	PUNCT
ejpam-5956	622	35	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	622	36	)	)	PUNCT
ejpam-5956	623	1	⊆	⊆	NUM
ejpam-5956	623	2	fu(clσ	fu(clσ	PROPN
ejpam-5956	623	3	(	(	PUNCT
ejpam-5956	623	4	q	q	NOUN
ejpam-5956	623	5	,	,	PUNCT
ejpam-5956	623	6	⟨ς	⟨ς	NOUN
ejpam-5956	623	7	,	,	PUNCT
ejpam-5956	623	8	κ	κ	NOUN
ejpam-5956	623	9	,	,	PUNCT
ejpam-5956	623	10	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	623	11	)	)	PUNCT
ejpam-5956	623	12	)	)	PUNCT
ejpam-5956	623	13	=	=	SYM
ejpam-5956	623	14	fu	fu	NOUN
ejpam-5956	623	15	(	(	PUNCT
ejpam-5956	623	16	q	q	NOUN
ejpam-5956	623	17	)	)	PUNCT
ejpam-5956	623	18	.	.	PUNCT
ejpam-5956	624	1	therefore	therefore	ADV
ejpam-5956	624	2	,	,	PUNCT
ejpam-5956	624	3	we	we	PRON
ejpam-5956	624	4	obtain	obtain	VERB
ejpam-5956	624	5	τ	τ	X
ejpam-5956	624	6	(	(	PUNCT
ejpam-5956	624	7	ⅎ	ⅎ	X
ejpam-5956	624	8	fu	fu	NOUN
ejpam-5956	624	9	(	(	PUNCT
ejpam-5956	624	10	q	q	NOUN
ejpam-5956	624	11	)	)	PUNCT
ejpam-5956	624	12	)	)	PUNCT
ejpam-5956	624	13	≥	≥	NOUN
ejpam-5956	624	14	⟨ς	⟨ς	NOUN
ejpam-5956	624	15	,	,	PUNCT
ejpam-5956	624	16	κ	κ	NOUN
ejpam-5956	624	17	,	,	PUNCT
ejpam-5956	624	18	ϑ⟩.	ϑ⟩.	VERB
ejpam-5956	624	19	thus	thus	ADV
ejpam-5956	624	20	,	,	PUNCT
ejpam-5956	624	21	by	by	ADP
ejpam-5956	624	22	theorem	theorem	NOUN
ejpam-5956	624	23	3.7	3.7	NUM
ejpam-5956	624	24	,	,	PUNCT
ejpam-5956	624	25	f	f	PROPN
ejpam-5956	624	26	is	be	AUX
ejpam-5956	624	27	pf	pf	PROPN
ejpam-5956	624	28	la	la	ADV
ejpam-5956	624	29	ℓp	ℓp	ADJ
ejpam-5956	624	30	-continuous	-continuous	ADJ
ejpam-5956	624	31	.	.	PUNCT
ejpam-5956	625	1	the	the	DET
ejpam-5956	625	2	following	follow	VERB
ejpam-5956	625	3	theorem	theorem	NOUN
ejpam-5956	625	4	is	be	AUX
ejpam-5956	625	5	similarly	similarly	ADV
ejpam-5956	625	6	proved	prove	VERB
ejpam-5956	625	7	as	as	ADP
ejpam-5956	625	8	the	the	DET
ejpam-5956	625	9	proof	proof	NOUN
ejpam-5956	625	10	of	of	ADP
ejpam-5956	625	11	theorem	theorem	NOUN
ejpam-5956	625	12	3.11	3.11	NUM
ejpam-5956	625	13	.	.	PUNCT
ejpam-5956	626	1	dali	dali	PROPN
ejpam-5956	626	2	shi	shi	PROPN
ejpam-5956	626	3	et	et	PROPN
ejpam-5956	626	4	al	al	PROPN
ejpam-5956	626	5	.	.	PUNCT
ejpam-5956	626	6	/	/	SYM
ejpam-5956	626	7	eur	eur	PROPN
ejpam-5956	626	8	.	.	PUNCT
ejpam-5956	627	1	j.	j.	PROPN
ejpam-5956	627	2	pure	pure	PROPN
ejpam-5956	627	3	appl	appl	PROPN
ejpam-5956	627	4	.	.	PROPN
ejpam-5956	627	5	math	math	PROPN
ejpam-5956	627	6	,	,	PUNCT
ejpam-5956	627	7	18	18	NUM
ejpam-5956	627	8	(	(	PUNCT
ejpam-5956	627	9	2	2	NUM
ejpam-5956	627	10	)	)	PUNCT
ejpam-5956	627	11	(	(	PUNCT
ejpam-5956	627	12	2025	2025	NUM
ejpam-5956	627	13	)	)	PUNCT
ejpam-5956	627	14	,	,	PUNCT
ejpam-5956	627	15	5956	5956	NUM
ejpam-5956	627	16	22	22	NUM
ejpam-5956	627	17	of	of	ADP
ejpam-5956	627	18	30	30	NUM
ejpam-5956	627	19	theorem	theorem	VERB
ejpam-5956	627	20	3.12	3.12	NUM
ejpam-5956	627	21	.	.	PUNCT
ejpam-5956	628	1	let	let	VERB
ejpam-5956	628	2	f	f	NOUN
ejpam-5956	628	3	:	:	PUNCT
ejpam-5956	628	4	(	(	PUNCT
ejpam-5956	628	5	ξ	ξ	X
ejpam-5956	628	6	,	,	PUNCT
ejpam-5956	628	7	τ	τ	X
ejpam-5956	628	8	)	)	PUNCT
ejpam-5956	628	9	↬	↬	PROPN
ejpam-5956	628	10	(	(	PUNCT
ejpam-5956	628	11	υ	υ	PROPN
ejpam-5956	628	12	,	,	PUNCT
ejpam-5956	628	13	σ	σ	PROPN
ejpam-5956	628	14	,	,	PUNCT
ejpam-5956	628	15	ℓp	ℓp	ADJ
ejpam-5956	628	16	)	)	PUNCT
ejpam-5956	628	17	be	be	AUX
ejpam-5956	628	18	a	a	DET
ejpam-5956	628	19	normalized	normalized	ADJ
ejpam-5956	628	20	pfm	pfm	NOUN
ejpam-5956	628	21	.	.	PUNCT
ejpam-5956	629	1	then	then	ADV
ejpam-5956	629	2	,	,	PUNCT
ejpam-5956	629	3	f	f	PROPN
ejpam-5956	629	4	is	be	AUX
ejpam-5956	629	5	pf	pf	PROPN
ejpam-5956	629	6	ua	ua	PROPN
ejpam-5956	629	7	ℓp	ℓp	PROPN
ejpam-5956	629	8	-continuous	-continuous	ADJ
ejpam-5956	629	9	iff	iff	PROPN
ejpam-5956	629	10	clτ	clτ	NOUN
ejpam-5956	629	11	(	(	PUNCT
ejpam-5956	629	12	fl	fl	PROPN
ejpam-5956	629	13	(	(	PUNCT
ejpam-5956	629	14	q	q	NOUN
ejpam-5956	629	15	)	)	PUNCT
ejpam-5956	629	16	,	,	PUNCT
ejpam-5956	629	17	⟨ς	⟨ς	NOUN
ejpam-5956	629	18	,	,	PUNCT
ejpam-5956	629	19	κ	κ	NOUN
ejpam-5956	629	20	,	,	PUNCT
ejpam-5956	629	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	629	22	)	)	PUNCT
ejpam-5956	630	1	⊆	⊆	NUM
ejpam-5956	630	2	fl(clσ	fl(clσ	NOUN
ejpam-5956	630	3	(	(	PUNCT
ejpam-5956	630	4	q	q	NOUN
ejpam-5956	630	5	,	,	PUNCT
ejpam-5956	630	6	⟨ς	⟨ς	NOUN
ejpam-5956	630	7	,	,	PUNCT
ejpam-5956	630	8	κ	κ	NOUN
ejpam-5956	630	9	,	,	PUNCT
ejpam-5956	630	10	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	630	11	)	)	PUNCT
ejpam-5956	630	12	)	)	PUNCT
ejpam-5956	630	13	for	for	ADP
ejpam-5956	630	14	any	any	DET
ejpam-5956	630	15	q	q	NOUN
ejpam-5956	630	16	∈	∈	PROPN
ejpam-5956	630	17	(	(	PUNCT
ejpam-5956	630	18	i3	i3	NOUN
ejpam-5956	630	19	)	)	PUNCT
ejpam-5956	630	20	υ	υ	NOUN
ejpam-5956	630	21	with	with	ADP
ejpam-5956	630	22	q	q	NOUN
ejpam-5956	630	23	⊆	⊆	NUM
ejpam-5956	630	24	clσ(int	clσ(int	NOUN
ejpam-5956	630	25	∗	∗	NOUN
ejpam-5956	630	26	(	(	PUNCT
ejpam-5956	630	27	q	q	NOUN
ejpam-5956	630	28	,	,	PUNCT
ejpam-5956	630	29	⟨ς	⟨ς	NOUN
ejpam-5956	630	30	,	,	PUNCT
ejpam-5956	630	31	κ	κ	NOUN
ejpam-5956	630	32	,	,	PUNCT
ejpam-5956	630	33	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	630	34	)	)	PUNCT
ejpam-5956	630	35	,	,	PUNCT
ejpam-5956	630	36	⟨ς	⟨ς	X
ejpam-5956	630	37	,	,	PUNCT
ejpam-5956	630	38	κ	κ	NOUN
ejpam-5956	630	39	,	,	PUNCT
ejpam-5956	630	40	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	630	41	)	)	PUNCT
ejpam-5956	630	42	,	,	PUNCT
ejpam-5956	630	43	ς	ς	PROPN
ejpam-5956	630	44	∈	∈	PROPN
ejpam-5956	630	45	i0,κ	i0,κ	PROPN
ejpam-5956	630	46	∈	∈	PROPN
ejpam-5956	630	47	i1	i1	PROPN
ejpam-5956	630	48	and	and	CCONJ
ejpam-5956	630	49	ϑ	ϑ	PROPN
ejpam-5956	630	50	∈	∈	PROPN
ejpam-5956	630	51	i1	i1	PROPN
ejpam-5956	630	52	.	.	PUNCT
ejpam-5956	631	1	definition	definition	NOUN
ejpam-5956	631	2	3.7	3.7	NUM
ejpam-5956	631	3	.	.	PUNCT
ejpam-5956	632	1	let	let	VERB
ejpam-5956	632	2	f	f	NOUN
ejpam-5956	632	3	:	:	PUNCT
ejpam-5956	632	4	(	(	PUNCT
ejpam-5956	632	5	ξ	ξ	X
ejpam-5956	632	6	,	,	PUNCT
ejpam-5956	632	7	τ	τ	X
ejpam-5956	632	8	)	)	PUNCT
ejpam-5956	632	9	↬	↬	PROPN
ejpam-5956	632	10	(	(	PUNCT
ejpam-5956	632	11	υ	υ	PROPN
ejpam-5956	632	12	,	,	PUNCT
ejpam-5956	632	13	σ	σ	PROPN
ejpam-5956	632	14	,	,	PUNCT
ejpam-5956	632	15	ℓp	ℓp	ADJ
ejpam-5956	632	16	)	)	PUNCT
ejpam-5956	632	17	be	be	AUX
ejpam-5956	632	18	a	a	DET
ejpam-5956	632	19	pfm	pfm	NOUN
ejpam-5956	632	20	,	,	PUNCT
ejpam-5956	632	21	ς	ς	PROPN
ejpam-5956	632	22	∈	∈	PROPN
ejpam-5956	632	23	i0,κ	i0,κ	PROPN
ejpam-5956	632	24	∈	∈	PROPN
ejpam-5956	632	25	i1	i1	PROPN
ejpam-5956	632	26	and	and	CCONJ
ejpam-5956	632	27	ϑ	ϑ	PROPN
ejpam-5956	632	28	∈	∈	PROPN
ejpam-5956	632	29	i1	i1	PROPN
ejpam-5956	632	30	.	.	PUNCT
ejpam-5956	633	1	then	then	ADV
ejpam-5956	633	2	,	,	PUNCT
ejpam-5956	633	3	f	f	PROPN
ejpam-5956	633	4	is	be	AUX
ejpam-5956	633	5	called	call	VERB
ejpam-5956	633	6	:	:	PUNCT
ejpam-5956	633	7	(	(	PUNCT
ejpam-5956	633	8	1	1	X
ejpam-5956	633	9	)	)	PUNCT
ejpam-5956	633	10	pf	pf	PROPN
ejpam-5956	633	11	uw	uw	PROPN
ejpam-5956	633	12	ℓp	ℓp	ADJ
ejpam-5956	633	13	-continuous	-continuous	ADJ
ejpam-5956	633	14	at	at	ADP
ejpam-5956	633	15	a	a	DET
ejpam-5956	633	16	fuzzy	fuzzy	ADJ
ejpam-5956	633	17	point	point	NOUN
ejpam-5956	633	18	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	633	19	,	,	PUNCT
ejpam-5956	633	20	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	633	21	∈	∈	PROPN
ejpam-5956	634	1	d	d	X
ejpam-5956	634	2	(	(	PUNCT
ejpam-5956	634	3	f	f	X
ejpam-5956	634	4	)	)	PUNCT
ejpam-5956	634	5	iff	iff	PROPN
ejpam-5956	634	6	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	634	7	,	,	PUNCT
ejpam-5956	634	8	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	634	9	∈	∈	PROPN
ejpam-5956	634	10	fu	fu	NOUN
ejpam-5956	634	11	(	(	PUNCT
ejpam-5956	634	12	q	q	NOUN
ejpam-5956	634	13	)	)	PUNCT
ejpam-5956	634	14	for	for	ADP
ejpam-5956	634	15	each	each	DET
ejpam-5956	634	16	q	q	PROPN
ejpam-5956	634	17	∈	∈	PROPN
ejpam-5956	634	18	(	(	PUNCT
ejpam-5956	634	19	i3	i3	NOUN
ejpam-5956	634	20	)	)	PUNCT
ejpam-5956	634	21	υ	υ	PROPN
ejpam-5956	634	22	,	,	PUNCT
ejpam-5956	634	23	σ	σ	PROPN
ejpam-5956	634	24	(	(	PUNCT
ejpam-5956	634	25	q	q	PROPN
ejpam-5956	634	26	)	)	PUNCT
ejpam-5956	634	27	≥	≥	NOUN
ejpam-5956	634	28	⟨ς	⟨ς	NOUN
ejpam-5956	634	29	,	,	PUNCT
ejpam-5956	634	30	κ	κ	NOUN
ejpam-5956	634	31	,	,	PUNCT
ejpam-5956	634	32	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	634	33	there	there	ADV
ejpam-5956	634	34	exists	exist	VERB
ejpam-5956	634	35	k	k	PROPN
ejpam-5956	634	36	∈	∈	PROPN
ejpam-5956	634	37	(	(	PUNCT
ejpam-5956	634	38	i3	i3	NOUN
ejpam-5956	634	39	)	)	PUNCT
ejpam-5956	634	40	ξ	ξ	PROPN
ejpam-5956	634	41	,	,	PUNCT
ejpam-5956	634	42	τ(k	τ(k	PROPN
ejpam-5956	634	43	)	)	PUNCT
ejpam-5956	634	44	≥	≥	NUM
ejpam-5956	634	45	⟨ς	⟨ς	NOUN
ejpam-5956	634	46	,	,	PUNCT
ejpam-5956	634	47	κ	κ	NOUN
ejpam-5956	634	48	,	,	PUNCT
ejpam-5956	634	49	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	634	50	and	and	CCONJ
ejpam-5956	634	51	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	634	52	,	,	PUNCT
ejpam-5956	634	53	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	634	54	∈	∈	PROPN
ejpam-5956	634	55	k	k	PRON
ejpam-5956	634	56	such	such	ADJ
ejpam-5956	634	57	that	that	SCONJ
ejpam-5956	634	58	k	k	PRON
ejpam-5956	634	59	∩d	∩d	X
ejpam-5956	634	60	(	(	PUNCT
ejpam-5956	634	61	f	f	X
ejpam-5956	634	62	)	)	PUNCT
ejpam-5956	635	1	⊆	⊆	X
ejpam-5956	635	2	fu(cl∗	fu(cl∗	PROPN
ejpam-5956	635	3	(	(	PUNCT
ejpam-5956	635	4	q	q	NOUN
ejpam-5956	635	5	,	,	PUNCT
ejpam-5956	635	6	⟨ς	⟨ς	NOUN
ejpam-5956	635	7	,	,	PUNCT
ejpam-5956	635	8	κ	κ	NOUN
ejpam-5956	635	9	,	,	PUNCT
ejpam-5956	635	10	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	635	11	)	)	PUNCT
ejpam-5956	635	12	)	)	PUNCT
ejpam-5956	635	13	.	.	PUNCT
ejpam-5956	636	1	(	(	PUNCT
ejpam-5956	636	2	2	2	X
ejpam-5956	636	3	)	)	PUNCT
ejpam-5956	636	4	pf	pf	PROPN
ejpam-5956	636	5	lw	lw	NOUN
ejpam-5956	636	6	ℓp	ℓp	ADJ
ejpam-5956	636	7	-continuous	-continuous	ADJ
ejpam-5956	636	8	at	at	ADP
ejpam-5956	636	9	a	a	DET
ejpam-5956	636	10	fuzzy	fuzzy	ADJ
ejpam-5956	636	11	point	point	NOUN
ejpam-5956	636	12	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	636	13	,	,	PUNCT
ejpam-5956	636	14	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	636	15	∈	∈	PROPN
ejpam-5956	636	16	d	d	X
ejpam-5956	636	17	(	(	PUNCT
ejpam-5956	636	18	f	f	X
ejpam-5956	636	19	)	)	PUNCT
ejpam-5956	636	20	iff	iff	PROPN
ejpam-5956	636	21	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	636	22	,	,	PUNCT
ejpam-5956	636	23	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	636	24	∈	∈	PROPN
ejpam-5956	636	25	fl	fl	PROPN
ejpam-5956	636	26	(	(	PUNCT
ejpam-5956	636	27	q	q	NOUN
ejpam-5956	636	28	)	)	PUNCT
ejpam-5956	636	29	for	for	ADP
ejpam-5956	636	30	each	each	DET
ejpam-5956	636	31	q	q	PROPN
ejpam-5956	636	32	∈	∈	PROPN
ejpam-5956	636	33	(	(	PUNCT
ejpam-5956	636	34	i3	i3	NOUN
ejpam-5956	636	35	)	)	PUNCT
ejpam-5956	636	36	υ	υ	PROPN
ejpam-5956	636	37	,	,	PUNCT
ejpam-5956	636	38	σ	σ	PROPN
ejpam-5956	636	39	(	(	PUNCT
ejpam-5956	636	40	q	q	PROPN
ejpam-5956	636	41	)	)	PUNCT
ejpam-5956	636	42	≥	≥	NOUN
ejpam-5956	636	43	⟨ς	⟨ς	NOUN
ejpam-5956	636	44	,	,	PUNCT
ejpam-5956	636	45	κ	κ	NOUN
ejpam-5956	636	46	,	,	PUNCT
ejpam-5956	636	47	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	636	48	there	there	ADV
ejpam-5956	636	49	exists	exist	VERB
ejpam-5956	636	50	k	k	PROPN
ejpam-5956	636	51	∈	∈	PROPN
ejpam-5956	636	52	(	(	PUNCT
ejpam-5956	636	53	i3	i3	NOUN
ejpam-5956	636	54	)	)	PUNCT
ejpam-5956	636	55	ξ	ξ	PROPN
ejpam-5956	636	56	,	,	PUNCT
ejpam-5956	636	57	τ(k	τ(k	PROPN
ejpam-5956	636	58	)	)	PUNCT
ejpam-5956	636	59	≥	≥	NUM
ejpam-5956	636	60	⟨ς	⟨ς	NOUN
ejpam-5956	636	61	,	,	PUNCT
ejpam-5956	636	62	κ	κ	NOUN
ejpam-5956	636	63	,	,	PUNCT
ejpam-5956	636	64	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	636	65	and	and	CCONJ
ejpam-5956	636	66	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	636	67	,	,	PUNCT
ejpam-5956	636	68	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	636	69	∈	∈	PROPN
ejpam-5956	636	70	k	k	PRON
ejpam-5956	637	1	such	such	ADJ
ejpam-5956	637	2	that	that	SCONJ
ejpam-5956	637	3	k	k	PROPN
ejpam-5956	637	4	⊆	⊆	NUM
ejpam-5956	637	5	fl(cl∗	fl(cl∗	PROPN
ejpam-5956	637	6	(	(	PUNCT
ejpam-5956	637	7	q	q	X
ejpam-5956	637	8	,	,	PUNCT
ejpam-5956	637	9	⟨ς	⟨ς	NOUN
ejpam-5956	637	10	,	,	PUNCT
ejpam-5956	637	11	κ	κ	NOUN
ejpam-5956	637	12	,	,	PUNCT
ejpam-5956	637	13	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	637	14	)	)	PUNCT
ejpam-5956	637	15	)	)	PUNCT
ejpam-5956	637	16	.	.	PUNCT
ejpam-5956	638	1	(	(	PUNCT
ejpam-5956	638	2	3	3	X
ejpam-5956	638	3	)	)	PUNCT
ejpam-5956	638	4	pf	pf	PROPN
ejpam-5956	638	5	uaw	uaw	PROPN
ejpam-5956	638	6	ℓp	ℓp	ADJ
ejpam-5956	638	7	-continuous	-continuous	ADJ
ejpam-5956	638	8	at	at	ADP
ejpam-5956	638	9	a	a	DET
ejpam-5956	638	10	fuzzy	fuzzy	ADJ
ejpam-5956	638	11	point	point	NOUN
ejpam-5956	638	12	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	638	13	,	,	PUNCT
ejpam-5956	638	14	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	638	15	∈	∈	PROPN
ejpam-5956	638	16	d	d	X
ejpam-5956	638	17	(	(	PUNCT
ejpam-5956	638	18	f	f	X
ejpam-5956	638	19	)	)	PUNCT
ejpam-5956	638	20	iff	iff	PROPN
ejpam-5956	638	21	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	638	22	,	,	PUNCT
ejpam-5956	638	23	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	638	24	∈	∈	PROPN
ejpam-5956	638	25	fu	fu	NOUN
ejpam-5956	638	26	(	(	PUNCT
ejpam-5956	638	27	q	q	NOUN
ejpam-5956	638	28	)	)	PUNCT
ejpam-5956	638	29	for	for	ADP
ejpam-5956	638	30	each	each	DET
ejpam-5956	638	31	q	q	PROPN
ejpam-5956	638	32	∈	∈	PROPN
ejpam-5956	638	33	(	(	PUNCT
ejpam-5956	638	34	i3	i3	NOUN
ejpam-5956	638	35	)	)	PUNCT
ejpam-5956	638	36	υ	υ	PROPN
ejpam-5956	638	37	,	,	PUNCT
ejpam-5956	638	38	σ	σ	PROPN
ejpam-5956	638	39	(	(	PUNCT
ejpam-5956	638	40	q	q	PROPN
ejpam-5956	638	41	)	)	PUNCT
ejpam-5956	638	42	≥	≥	NOUN
ejpam-5956	638	43	⟨ς	⟨ς	NOUN
ejpam-5956	638	44	,	,	PUNCT
ejpam-5956	638	45	κ	κ	NOUN
ejpam-5956	638	46	,	,	PUNCT
ejpam-5956	638	47	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	638	48	there	there	ADV
ejpam-5956	638	49	exists	exist	VERB
ejpam-5956	638	50	k	k	PROPN
ejpam-5956	638	51	∈	∈	PROPN
ejpam-5956	638	52	(	(	PUNCT
ejpam-5956	638	53	i3	i3	NOUN
ejpam-5956	638	54	)	)	PUNCT
ejpam-5956	638	55	ξ	ξ	PROPN
ejpam-5956	638	56	,	,	PUNCT
ejpam-5956	638	57	τ(k	τ(k	PROPN
ejpam-5956	638	58	)	)	PUNCT
ejpam-5956	638	59	≥	≥	NUM
ejpam-5956	638	60	⟨ς	⟨ς	NOUN
ejpam-5956	638	61	,	,	PUNCT
ejpam-5956	638	62	κ	κ	NOUN
ejpam-5956	638	63	,	,	PUNCT
ejpam-5956	638	64	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	638	65	and	and	CCONJ
ejpam-5956	638	66	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	638	67	,	,	PUNCT
ejpam-5956	638	68	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	638	69	∈	∈	PROPN
ejpam-5956	638	70	k	k	PRON
ejpam-5956	638	71	such	such	ADJ
ejpam-5956	638	72	that	that	SCONJ
ejpam-5956	638	73	k	k	PRON
ejpam-5956	638	74	∩d	∩d	X
ejpam-5956	638	75	(	(	PUNCT
ejpam-5956	638	76	f	f	X
ejpam-5956	638	77	)	)	PUNCT
ejpam-5956	638	78	⊆	⊆	NUM
ejpam-5956	638	79	clτ	clτ	NOUN
ejpam-5956	638	80	(	(	PUNCT
ejpam-5956	638	81	fu(cl∗	fu(cl∗	X
ejpam-5956	638	82	(	(	PUNCT
ejpam-5956	638	83	q	q	NOUN
ejpam-5956	638	84	,	,	PUNCT
ejpam-5956	638	85	⟨ς	⟨ς	NOUN
ejpam-5956	638	86	,	,	PUNCT
ejpam-5956	638	87	κ	κ	NOUN
ejpam-5956	638	88	,	,	PUNCT
ejpam-5956	638	89	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	638	90	)	)	PUNCT
ejpam-5956	638	91	)	)	PUNCT
ejpam-5956	638	92	,	,	PUNCT
ejpam-5956	638	93	⟨ς	⟨ς	NOUN
ejpam-5956	638	94	,	,	PUNCT
ejpam-5956	638	95	κ	κ	NOUN
ejpam-5956	638	96	,	,	PUNCT
ejpam-5956	638	97	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	638	98	)	)	PUNCT
ejpam-5956	638	99	.	.	PUNCT
ejpam-5956	639	1	(	(	PUNCT
ejpam-5956	639	2	4	4	X
ejpam-5956	639	3	)	)	PUNCT
ejpam-5956	639	4	pf	pf	NOUN
ejpam-5956	639	5	law	law	NOUN
ejpam-5956	639	6	ℓp	ℓp	NOUN
ejpam-5956	639	7	-continuous	-continuous	ADJ
ejpam-5956	639	8	at	at	ADP
ejpam-5956	639	9	a	a	DET
ejpam-5956	639	10	fuzzy	fuzzy	ADJ
ejpam-5956	639	11	point	point	NOUN
ejpam-5956	639	12	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	639	13	,	,	PUNCT
ejpam-5956	639	14	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	639	15	∈	∈	PROPN
ejpam-5956	639	16	d	d	X
ejpam-5956	639	17	(	(	PUNCT
ejpam-5956	639	18	f	f	X
ejpam-5956	639	19	)	)	PUNCT
ejpam-5956	639	20	iff	iff	PROPN
ejpam-5956	639	21	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	639	22	,	,	PUNCT
ejpam-5956	639	23	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	639	24	∈	∈	PROPN
ejpam-5956	639	25	fl	fl	PROPN
ejpam-5956	639	26	(	(	PUNCT
ejpam-5956	639	27	q	q	NOUN
ejpam-5956	639	28	)	)	PUNCT
ejpam-5956	639	29	for	for	ADP
ejpam-5956	639	30	each	each	DET
ejpam-5956	639	31	q	q	PROPN
ejpam-5956	639	32	∈	∈	PROPN
ejpam-5956	639	33	(	(	PUNCT
ejpam-5956	639	34	i3	i3	NOUN
ejpam-5956	639	35	)	)	PUNCT
ejpam-5956	639	36	υ	υ	NOUN
ejpam-5956	639	37	,	,	PUNCT
ejpam-5956	639	38	σ(q	σ(q	PROPN
ejpam-5956	639	39	)	)	PUNCT
ejpam-5956	639	40	≥	≥	NOUN
ejpam-5956	639	41	⟨ς	⟨ς	NOUN
ejpam-5956	639	42	,	,	PUNCT
ejpam-5956	639	43	κ	κ	NOUN
ejpam-5956	639	44	,	,	PUNCT
ejpam-5956	639	45	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	639	46	there	there	ADV
ejpam-5956	639	47	exists	exist	VERB
ejpam-5956	639	48	k	k	PROPN
ejpam-5956	639	49	∈	∈	PROPN
ejpam-5956	639	50	(	(	PUNCT
ejpam-5956	639	51	i3	i3	NOUN
ejpam-5956	639	52	)	)	PUNCT
ejpam-5956	639	53	ξ	ξ	PROPN
ejpam-5956	639	54	,	,	PUNCT
ejpam-5956	639	55	τ(k	τ(k	PROPN
ejpam-5956	639	56	)	)	PUNCT
ejpam-5956	639	57	≥	≥	NUM
ejpam-5956	639	58	⟨ς	⟨ς	NOUN
ejpam-5956	639	59	,	,	PUNCT
ejpam-5956	639	60	κ	κ	NOUN
ejpam-5956	639	61	,	,	PUNCT
ejpam-5956	639	62	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	639	63	and	and	CCONJ
ejpam-5956	639	64	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	639	65	,	,	PUNCT
ejpam-5956	639	66	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	639	67	∈	∈	PROPN
ejpam-5956	639	68	k	k	PRON
ejpam-5956	639	69	such	such	ADJ
ejpam-5956	639	70	that	that	SCONJ
ejpam-5956	639	71	k	k	PROPN
ejpam-5956	639	72	⊆	⊆	NUM
ejpam-5956	639	73	clτ	clτ	NOUN
ejpam-5956	639	74	(	(	PUNCT
ejpam-5956	639	75	fl(cl∗	fl(cl∗	X
ejpam-5956	639	76	(	(	PUNCT
ejpam-5956	639	77	q	q	NOUN
ejpam-5956	639	78	,	,	PUNCT
ejpam-5956	639	79	⟨ς	⟨ς	NOUN
ejpam-5956	639	80	,	,	PUNCT
ejpam-5956	639	81	κ	κ	NOUN
ejpam-5956	639	82	,	,	PUNCT
ejpam-5956	639	83	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	639	84	)	)	PUNCT
ejpam-5956	639	85	)	)	PUNCT
ejpam-5956	639	86	,	,	PUNCT
ejpam-5956	639	87	⟨ς	⟨ς	NOUN
ejpam-5956	639	88	,	,	PUNCT
ejpam-5956	639	89	κ	κ	NOUN
ejpam-5956	639	90	,	,	PUNCT
ejpam-5956	639	91	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	639	92	)	)	PUNCT
ejpam-5956	639	93	.	.	PUNCT
ejpam-5956	640	1	(	(	PUNCT
ejpam-5956	640	2	5	5	X
ejpam-5956	640	3	)	)	PUNCT
ejpam-5956	640	4	pf	pf	PROPN
ejpam-5956	640	5	uw	uw	PROPN
ejpam-5956	640	6	ℓp	ℓp	ADJ
ejpam-5956	640	7	-continuous	-continuous	ADJ
ejpam-5956	640	8	(	(	PUNCT
ejpam-5956	640	9	resp	resp	NOUN
ejpam-5956	640	10	.	.	PUNCT
ejpam-5956	641	1	pf	pf	PROPN
ejpam-5956	641	2	lw	lw	PROPN
ejpam-5956	641	3	ℓp	ℓp	ADJ
ejpam-5956	641	4	-continuous	-continuous	ADJ
ejpam-5956	641	5	)	)	PUNCT
ejpam-5956	641	6	iff	iff	NOUN
ejpam-5956	641	7	it	it	PRON
ejpam-5956	641	8	is	be	AUX
ejpam-5956	641	9	pf	pf	PROPN
ejpam-5956	641	10	uw	uw	PROPN
ejpam-5956	641	11	ℓp	ℓp	ADJ
ejpam-5956	641	12	-continuous	-continuous	ADJ
ejpam-5956	641	13	(	(	PUNCT
ejpam-5956	641	14	resp	resp	NOUN
ejpam-5956	641	15	.	.	PUNCT
ejpam-5956	642	1	pf	pf	PROPN
ejpam-5956	642	2	lw	lw	PROPN
ejpam-5956	642	3	ℓp	ℓp	ADJ
ejpam-5956	642	4	-continuous	-continuous	ADJ
ejpam-5956	642	5	)	)	PUNCT
ejpam-5956	642	6	at	at	ADP
ejpam-5956	642	7	every	every	DET
ejpam-5956	642	8	fuzzy	fuzzy	ADJ
ejpam-5956	642	9	point	point	NOUN
ejpam-5956	642	10	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	642	11	,	,	PUNCT
ejpam-5956	642	12	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	642	13	∈	∈	PROPN
ejpam-5956	643	1	d	d	X
ejpam-5956	643	2	(	(	PUNCT
ejpam-5956	643	3	f	f	NOUN
ejpam-5956	643	4	)	)	PUNCT
ejpam-5956	643	5	.	.	PUNCT
ejpam-5956	644	1	(	(	PUNCT
ejpam-5956	644	2	6	6	NUM
ejpam-5956	644	3	)	)	PUNCT
ejpam-5956	644	4	pf	pf	PROPN
ejpam-5956	644	5	uaw	uaw	PROPN
ejpam-5956	644	6	ℓp	ℓp	ADJ
ejpam-5956	644	7	-continuous	-continuous	ADJ
ejpam-5956	644	8	(	(	PUNCT
ejpam-5956	644	9	resp	resp	NOUN
ejpam-5956	644	10	.	.	PUNCT
ejpam-5956	645	1	pf	pf	PROPN
ejpam-5956	645	2	law	law	NOUN
ejpam-5956	645	3	ℓp	ℓp	ADJ
ejpam-5956	645	4	-continuous	-continuous	ADJ
ejpam-5956	645	5	)	)	PUNCT
ejpam-5956	645	6	iff	iff	NOUN
ejpam-5956	645	7	it	it	PRON
ejpam-5956	645	8	is	be	AUX
ejpam-5956	645	9	pf	pf	PROPN
ejpam-5956	645	10	uaw	uaw	NOUN
ejpam-5956	645	11	ℓp	ℓp	ADJ
ejpam-5956	645	12	continuous	continuous	ADJ
ejpam-5956	645	13	(	(	PUNCT
ejpam-5956	645	14	resp	resp	NOUN
ejpam-5956	645	15	.	.	PUNCT
ejpam-5956	646	1	pf	pf	PROPN
ejpam-5956	646	2	law	law	NOUN
ejpam-5956	646	3	ℓp	ℓp	ADJ
ejpam-5956	646	4	-continuous	-continuous	ADJ
ejpam-5956	646	5	)	)	PUNCT
ejpam-5956	646	6	at	at	ADP
ejpam-5956	646	7	every	every	DET
ejpam-5956	646	8	fuzzy	fuzzy	ADJ
ejpam-5956	646	9	point	point	NOUN
ejpam-5956	646	10	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	646	11	,	,	PUNCT
ejpam-5956	646	12	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	646	13	∈	∈	PROPN
ejpam-5956	647	1	d	d	X
ejpam-5956	647	2	(	(	PUNCT
ejpam-5956	647	3	f	f	NOUN
ejpam-5956	647	4	)	)	PUNCT
ejpam-5956	647	5	.	.	PUNCT
ejpam-5956	648	1	remark	remark	VERB
ejpam-5956	648	2	3.3	3.3	NUM
ejpam-5956	648	3	.	.	PUNCT
ejpam-5956	649	1	(	(	PUNCT
ejpam-5956	649	2	1	1	X
ejpam-5956	649	3	)	)	PUNCT
ejpam-5956	649	4	if	if	SCONJ
ejpam-5956	649	5	f	f	PROPN
ejpam-5956	649	6	is	be	AUX
ejpam-5956	649	7	normalized	normalize	VERB
ejpam-5956	649	8	pfm	pfm	NOUN
ejpam-5956	649	9	,	,	PUNCT
ejpam-5956	649	10	then	then	ADV
ejpam-5956	649	11	f	f	PROPN
ejpam-5956	649	12	is	be	AUX
ejpam-5956	649	13	pf	pf	PROPN
ejpam-5956	649	14	uw	uw	PROPN
ejpam-5956	649	15	ℓp	ℓp	ADJ
ejpam-5956	649	16	-continuous	-continuous	ADJ
ejpam-5956	649	17	at	at	ADP
ejpam-5956	649	18	a	a	DET
ejpam-5956	649	19	fuzzy	fuzzy	ADJ
ejpam-5956	649	20	point	point	NOUN
ejpam-5956	649	21	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	649	22	,	,	PUNCT
ejpam-5956	649	23	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	649	24	∈	∈	PROPN
ejpam-5956	649	25	d	d	X
ejpam-5956	649	26	(	(	PUNCT
ejpam-5956	649	27	f	f	X
ejpam-5956	649	28	)	)	PUNCT
ejpam-5956	649	29	iff	iff	PROPN
ejpam-5956	649	30	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	649	31	,	,	PUNCT
ejpam-5956	649	32	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	649	33	∈	∈	PROPN
ejpam-5956	649	34	fu	fu	NOUN
ejpam-5956	649	35	(	(	PUNCT
ejpam-5956	649	36	q	q	NOUN
ejpam-5956	649	37	)	)	PUNCT
ejpam-5956	649	38	for	for	ADP
ejpam-5956	649	39	each	each	DET
ejpam-5956	649	40	q	q	PROPN
ejpam-5956	649	41	∈	∈	PROPN
ejpam-5956	649	42	(	(	PUNCT
ejpam-5956	649	43	i3	i3	NOUN
ejpam-5956	649	44	)	)	PUNCT
ejpam-5956	649	45	υ	υ	PROPN
ejpam-5956	649	46	,	,	PUNCT
ejpam-5956	649	47	σ	σ	PROPN
ejpam-5956	649	48	(	(	PUNCT
ejpam-5956	649	49	q	q	PROPN
ejpam-5956	649	50	)	)	PUNCT
ejpam-5956	649	51	≥	≥	NOUN
ejpam-5956	649	52	⟨ς	⟨ς	NOUN
ejpam-5956	649	53	,	,	PUNCT
ejpam-5956	649	54	κ	κ	NOUN
ejpam-5956	649	55	,	,	PUNCT
ejpam-5956	649	56	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	649	57	there	there	ADV
ejpam-5956	649	58	exists	exist	VERB
ejpam-5956	649	59	k	k	PROPN
ejpam-5956	649	60	∈	∈	PROPN
ejpam-5956	649	61	(	(	PUNCT
ejpam-5956	649	62	i3	i3	NOUN
ejpam-5956	649	63	)	)	PUNCT
ejpam-5956	649	64	ξ	ξ	PROPN
ejpam-5956	649	65	,	,	PUNCT
ejpam-5956	649	66	τ(k	τ(k	PROPN
ejpam-5956	649	67	)	)	PUNCT
ejpam-5956	649	68	≥	≥	NUM
ejpam-5956	649	69	⟨ς	⟨ς	NOUN
ejpam-5956	649	70	,	,	PUNCT
ejpam-5956	649	71	κ	κ	NOUN
ejpam-5956	649	72	,	,	PUNCT
ejpam-5956	649	73	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	649	74	and	and	CCONJ
ejpam-5956	649	75	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	649	76	,	,	PUNCT
ejpam-5956	649	77	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	649	78	∈	∈	PROPN
ejpam-5956	649	79	k	k	PRON
ejpam-5956	649	80	such	such	ADJ
ejpam-5956	649	81	that	that	SCONJ
ejpam-5956	649	82	k	k	PROPN
ejpam-5956	649	83	⊆	⊆	NUM
ejpam-5956	649	84	fu(cl∗	fu(cl∗	PROPN
ejpam-5956	649	85	(	(	PUNCT
ejpam-5956	649	86	q	q	NOUN
ejpam-5956	649	87	,	,	PUNCT
ejpam-5956	649	88	⟨ς	⟨ς	NOUN
ejpam-5956	649	89	,	,	PUNCT
ejpam-5956	649	90	κ	κ	NOUN
ejpam-5956	649	91	,	,	PUNCT
ejpam-5956	649	92	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	649	93	)	)	PUNCT
ejpam-5956	649	94	)	)	PUNCT
ejpam-5956	649	95	.	.	PUNCT
ejpam-5956	650	1	(	(	PUNCT
ejpam-5956	650	2	2	2	X
ejpam-5956	650	3	)	)	PUNCT
ejpam-5956	650	4	if	if	SCONJ
ejpam-5956	650	5	f	f	PROPN
ejpam-5956	650	6	is	be	AUX
ejpam-5956	650	7	normalized	normalize	VERB
ejpam-5956	650	8	pfm	pfm	NOUN
ejpam-5956	650	9	,	,	PUNCT
ejpam-5956	650	10	then	then	ADV
ejpam-5956	650	11	f	f	PROPN
ejpam-5956	650	12	is	be	AUX
ejpam-5956	650	13	pf	pf	PROPN
ejpam-5956	650	14	uaw	uaw	NOUN
ejpam-5956	650	15	ℓp	ℓp	ADJ
ejpam-5956	650	16	-continuous	-continuous	ADJ
ejpam-5956	650	17	at	at	ADP
ejpam-5956	650	18	a	a	DET
ejpam-5956	650	19	fuzzy	fuzzy	ADJ
ejpam-5956	650	20	point	point	NOUN
ejpam-5956	650	21	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	650	22	,	,	PUNCT
ejpam-5956	650	23	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	650	24	∈	∈	PROPN
ejpam-5956	650	25	d	d	X
ejpam-5956	650	26	(	(	PUNCT
ejpam-5956	650	27	f	f	X
ejpam-5956	650	28	)	)	PUNCT
ejpam-5956	650	29	iff	iff	PROPN
ejpam-5956	650	30	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	650	31	,	,	PUNCT
ejpam-5956	650	32	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	650	33	∈	∈	PROPN
ejpam-5956	650	34	fu	fu	NOUN
ejpam-5956	650	35	(	(	PUNCT
ejpam-5956	650	36	q	q	NOUN
ejpam-5956	650	37	)	)	PUNCT
ejpam-5956	650	38	for	for	ADP
ejpam-5956	650	39	each	each	DET
ejpam-5956	650	40	q	q	PROPN
ejpam-5956	650	41	∈	∈	PROPN
ejpam-5956	650	42	(	(	PUNCT
ejpam-5956	650	43	i3	i3	NOUN
ejpam-5956	650	44	)	)	PUNCT
ejpam-5956	650	45	υ	υ	PROPN
ejpam-5956	650	46	,	,	PUNCT
ejpam-5956	650	47	σ	σ	PROPN
ejpam-5956	650	48	(	(	PUNCT
ejpam-5956	650	49	q	q	PROPN
ejpam-5956	650	50	)	)	PUNCT
ejpam-5956	650	51	≥	≥	NOUN
ejpam-5956	650	52	⟨ς	⟨ς	NOUN
ejpam-5956	650	53	,	,	PUNCT
ejpam-5956	650	54	κ	κ	NOUN
ejpam-5956	650	55	,	,	PUNCT
ejpam-5956	650	56	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	650	57	there	there	ADV
ejpam-5956	650	58	exists	exist	VERB
ejpam-5956	650	59	k	k	PROPN
ejpam-5956	650	60	∈	∈	PROPN
ejpam-5956	650	61	(	(	PUNCT
ejpam-5956	650	62	i3	i3	NOUN
ejpam-5956	650	63	)	)	PUNCT
ejpam-5956	650	64	ξ	ξ	PROPN
ejpam-5956	650	65	,	,	PUNCT
ejpam-5956	650	66	τ(k	τ(k	PROPN
ejpam-5956	650	67	)	)	PUNCT
ejpam-5956	650	68	≥	≥	NUM
ejpam-5956	650	69	⟨ς	⟨ς	NOUN
ejpam-5956	650	70	,	,	PUNCT
ejpam-5956	650	71	κ	κ	NOUN
ejpam-5956	650	72	,	,	PUNCT
ejpam-5956	650	73	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	650	74	and	and	CCONJ
ejpam-5956	650	75	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	650	76	,	,	PUNCT
ejpam-5956	650	77	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	650	78	∈	∈	PROPN
ejpam-5956	651	1	k	k	PRON
ejpam-5956	651	2	such	such	ADJ
ejpam-5956	651	3	that	that	SCONJ
ejpam-5956	651	4	k	k	PROPN
ejpam-5956	651	5	⊆	⊆	NUM
ejpam-5956	651	6	clτ	clτ	NOUN
ejpam-5956	651	7	(	(	PUNCT
ejpam-5956	651	8	fu(cl∗	fu(cl∗	X
ejpam-5956	651	9	(	(	PUNCT
ejpam-5956	651	10	q	q	NOUN
ejpam-5956	651	11	,	,	PUNCT
ejpam-5956	651	12	⟨ς	⟨ς	NOUN
ejpam-5956	651	13	,	,	PUNCT
ejpam-5956	651	14	κ	κ	NOUN
ejpam-5956	651	15	,	,	PUNCT
ejpam-5956	651	16	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	651	17	)	)	PUNCT
ejpam-5956	651	18	)	)	PUNCT
ejpam-5956	651	19	,	,	PUNCT
ejpam-5956	651	20	⟨ς	⟨ς	NOUN
ejpam-5956	651	21	,	,	PUNCT
ejpam-5956	651	22	κ	κ	NOUN
ejpam-5956	651	23	,	,	PUNCT
ejpam-5956	651	24	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	651	25	)	)	PUNCT
ejpam-5956	651	26	.	.	PUNCT
ejpam-5956	652	1	(	(	PUNCT
ejpam-5956	652	2	3	3	X
ejpam-5956	652	3	)	)	PUNCT
ejpam-5956	652	4	pf	pf	PROPN
ejpam-5956	652	5	ua	ua	PROPN
ejpam-5956	652	6	(	(	PUNCT
ejpam-5956	652	7	resp	resp	PROPN
ejpam-5956	652	8	.	.	PUNCT
ejpam-5956	653	1	pf	pf	PROPN
ejpam-5956	653	2	la	la	PROPN
ejpam-5956	653	3	)	)	PUNCT
ejpam-5956	653	4	ℓp	ℓp	ADJ
ejpam-5956	653	5	-continuity	-continuity	ADJ
ejpam-5956	653	6	⇒	⇒	NOUN
ejpam-5956	653	7	pf	pf	PROPN
ejpam-5956	653	8	uw	uw	PROPN
ejpam-5956	653	9	(	(	PUNCT
ejpam-5956	653	10	resp	resp	NOUN
ejpam-5956	653	11	.	.	PUNCT
ejpam-5956	654	1	pf	pf	PROPN
ejpam-5956	654	2	lw	lw	PROPN
ejpam-5956	654	3	)	)	PUNCT
ejpam-5956	654	4	ℓp	ℓp	ADP
ejpam-5956	654	5	-continuity	-continuity	ADJ
ejpam-5956	654	6	⇒	⇒	NOUN
ejpam-5956	654	7	pf	pf	PROPN
ejpam-5956	654	8	uw	uw	PROPN
ejpam-5956	654	9	(	(	PUNCT
ejpam-5956	654	10	resp	resp	NOUN
ejpam-5956	654	11	.	.	PUNCT
ejpam-5956	655	1	pf	pf	PROPN
ejpam-5956	655	2	lw	lw	PROPN
ejpam-5956	655	3	)	)	PUNCT
ejpam-5956	655	4	-continuity	-continuity	PROPN
ejpam-5956	655	5	.	.	PUNCT
ejpam-5956	656	1	(	(	PUNCT
ejpam-5956	656	2	4	4	X
ejpam-5956	656	3	)	)	PUNCT
ejpam-5956	656	4	pf	pf	PROPN
ejpam-5956	656	5	uw	uw	PROPN
ejpam-5956	656	6	(	(	PUNCT
ejpam-5956	656	7	resp	resp	NOUN
ejpam-5956	656	8	.	.	PUNCT
ejpam-5956	657	1	pf	pf	PROPN
ejpam-5956	657	2	lw	lw	PROPN
ejpam-5956	657	3	)	)	PUNCT
ejpam-5956	657	4	ℓp0	ℓp0	NOUN
ejpam-5956	657	5	-	-	PUNCT
ejpam-5956	657	6	continuity	continuity	NOUN
ejpam-5956	657	7	⇔	⇔	PROPN
ejpam-5956	657	8	pf	pf	PROPN
ejpam-5956	657	9	uw	uw	PROPN
ejpam-5956	657	10	(	(	PUNCT
ejpam-5956	657	11	resp	resp	NOUN
ejpam-5956	657	12	.	.	PUNCT
ejpam-5956	658	1	pf	pf	PROPN
ejpam-5956	658	2	lw	lw	PROPN
ejpam-5956	658	3	)	)	PUNCT
ejpam-5956	658	4	-continuity	-continuity	PROPN
ejpam-5956	658	5	.	.	PUNCT
ejpam-5956	659	1	(	(	PUNCT
ejpam-5956	659	2	5	5	NUM
ejpam-5956	659	3	)	)	PUNCT
ejpam-5956	659	4	pf	pf	PROPN
ejpam-5956	659	5	uw	uw	PROPN
ejpam-5956	659	6	(	(	PUNCT
ejpam-5956	659	7	resp	resp	NOUN
ejpam-5956	659	8	.	.	PUNCT
ejpam-5956	660	1	pf	pf	PROPN
ejpam-5956	660	2	lw	lw	PROPN
ejpam-5956	660	3	)	)	PUNCT
ejpam-5956	660	4	ℓp	ℓp	ADP
ejpam-5956	660	5	-continuity	-continuity	ADJ
ejpam-5956	660	6	⇒	⇒	NOUN
ejpam-5956	660	7	pf	pf	PROPN
ejpam-5956	660	8	uaw	uaw	PROPN
ejpam-5956	660	9	(	(	PUNCT
ejpam-5956	660	10	resp	resp	NOUN
ejpam-5956	660	11	.	.	PUNCT
ejpam-5956	661	1	pf	pf	PROPN
ejpam-5956	661	2	law	law	NOUN
ejpam-5956	661	3	)	)	PUNCT
ejpam-5956	661	4	ℓp	ℓp	ADP
ejpam-5956	661	5	-continuity	-continuity	ADJ
ejpam-5956	661	6	⇒	⇒	NOUN
ejpam-5956	661	7	pf	pf	PROPN
ejpam-5956	661	8	uaw	uaw	PROPN
ejpam-5956	661	9	(	(	PUNCT
ejpam-5956	661	10	resp	resp	NOUN
ejpam-5956	661	11	.	.	PUNCT
ejpam-5956	662	1	pf	pf	PROPN
ejpam-5956	662	2	law	law	NOUN
ejpam-5956	662	3	)	)	PUNCT
ejpam-5956	662	4	-continuity	-continuity	PROPN
ejpam-5956	662	5	.	.	PUNCT
ejpam-5956	663	1	(	(	PUNCT
ejpam-5956	663	2	6	6	NUM
ejpam-5956	663	3	)	)	PUNCT
ejpam-5956	663	4	pf	pf	PROPN
ejpam-5956	663	5	uaw	uaw	PROPN
ejpam-5956	663	6	(	(	PUNCT
ejpam-5956	663	7	resp	resp	NOUN
ejpam-5956	663	8	.	.	PUNCT
ejpam-5956	664	1	pf	pf	PROPN
ejpam-5956	664	2	law	law	NOUN
ejpam-5956	664	3	)	)	PUNCT
ejpam-5956	664	4	ℓp0	ℓp0	NOUN
ejpam-5956	664	5	-	-	PUNCT
ejpam-5956	664	6	continuity	continuity	NOUN
ejpam-5956	664	7	⇔	⇔	NOUN
ejpam-5956	664	8	pf	pf	PROPN
ejpam-5956	664	9	uaw	uaw	PROPN
ejpam-5956	664	10	(	(	PUNCT
ejpam-5956	664	11	resp	resp	NOUN
ejpam-5956	664	12	.	.	PUNCT
ejpam-5956	665	1	pf	pf	PROPN
ejpam-5956	665	2	law	law	NOUN
ejpam-5956	665	3	)	)	PUNCT
ejpam-5956	665	4	-continuity	-continuity	PROPN
ejpam-5956	665	5	.	.	PUNCT
ejpam-5956	666	1	dali	dali	PROPN
ejpam-5956	666	2	shi	shi	PROPN
ejpam-5956	666	3	et	et	PROPN
ejpam-5956	666	4	al	al	PROPN
ejpam-5956	666	5	.	.	PUNCT
ejpam-5956	666	6	/	/	SYM
ejpam-5956	666	7	eur	eur	PROPN
ejpam-5956	666	8	.	.	PUNCT
ejpam-5956	667	1	j.	j.	PROPN
ejpam-5956	667	2	pure	pure	PROPN
ejpam-5956	667	3	appl	appl	PROPN
ejpam-5956	667	4	.	.	PROPN
ejpam-5956	667	5	math	math	PROPN
ejpam-5956	667	6	,	,	PUNCT
ejpam-5956	667	7	18	18	NUM
ejpam-5956	667	8	(	(	PUNCT
ejpam-5956	667	9	2	2	NUM
ejpam-5956	667	10	)	)	PUNCT
ejpam-5956	667	11	(	(	PUNCT
ejpam-5956	667	12	2025	2025	NUM
ejpam-5956	667	13	)	)	PUNCT
ejpam-5956	667	14	,	,	PUNCT
ejpam-5956	667	15	5956	5956	NUM
ejpam-5956	667	16	23	23	NUM
ejpam-5956	667	17	of	of	ADP
ejpam-5956	667	18	30	30	NUM
ejpam-5956	667	19	theorem	theorem	VERB
ejpam-5956	667	20	3.13	3.13	NUM
ejpam-5956	667	21	.	.	PUNCT
ejpam-5956	668	1	a	a	DET
ejpam-5956	668	2	pfm	pfm	NOUN
ejpam-5956	668	3	f	f	NOUN
ejpam-5956	668	4	:	:	PUNCT
ejpam-5956	668	5	(	(	PUNCT
ejpam-5956	668	6	ξ	ξ	X
ejpam-5956	668	7	,	,	PUNCT
ejpam-5956	668	8	τ	τ	X
ejpam-5956	668	9	)	)	PUNCT
ejpam-5956	668	10	↬	↬	PROPN
ejpam-5956	668	11	(	(	PUNCT
ejpam-5956	668	12	υ	υ	PROPN
ejpam-5956	668	13	,	,	PUNCT
ejpam-5956	668	14	σ	σ	PROPN
ejpam-5956	668	15	,	,	PUNCT
ejpam-5956	668	16	ℓp	ℓp	ADJ
ejpam-5956	668	17	)	)	PUNCT
ejpam-5956	668	18	is	be	AUX
ejpam-5956	668	19	pf	pf	PROPN
ejpam-5956	668	20	lw	lw	NOUN
ejpam-5956	668	21	ℓp	ℓp	ADJ
ejpam-5956	668	22	-continuous	-continuous	ADJ
ejpam-5956	668	23	iff	iff	PROPN
ejpam-5956	668	24	fl	fl	PROPN
ejpam-5956	668	25	(	(	PUNCT
ejpam-5956	668	26	q	q	PROPN
ejpam-5956	668	27	)	)	PUNCT
ejpam-5956	668	28	⊆	⊆	NUM
ejpam-5956	668	29	intτ	intτ	ADV
ejpam-5956	668	30	(	(	PUNCT
ejpam-5956	668	31	fl(cl∗	fl(cl∗	X
ejpam-5956	668	32	(	(	PUNCT
ejpam-5956	668	33	q	q	NOUN
ejpam-5956	668	34	,	,	PUNCT
ejpam-5956	668	35	⟨ς	⟨ς	NOUN
ejpam-5956	668	36	,	,	PUNCT
ejpam-5956	668	37	κ	κ	NOUN
ejpam-5956	668	38	,	,	PUNCT
ejpam-5956	668	39	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	668	40	)	)	PUNCT
ejpam-5956	668	41	)	)	PUNCT
ejpam-5956	668	42	,	,	PUNCT
ejpam-5956	668	43	⟨ς	⟨ς	NOUN
ejpam-5956	668	44	,	,	PUNCT
ejpam-5956	668	45	κ	κ	NOUN
ejpam-5956	668	46	,	,	PUNCT
ejpam-5956	668	47	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	668	48	)	)	PUNCT
ejpam-5956	668	49	for	for	ADP
ejpam-5956	668	50	each	each	DET
ejpam-5956	668	51	q	q	PROPN
ejpam-5956	668	52	∈	∈	PROPN
ejpam-5956	668	53	(	(	PUNCT
ejpam-5956	668	54	i3	i3	NOUN
ejpam-5956	668	55	)	)	PUNCT
ejpam-5956	668	56	υwith	υwith	NOUN
ejpam-5956	668	57	σ	σ	PROPN
ejpam-5956	668	58	(	(	PUNCT
ejpam-5956	668	59	q	q	NOUN
ejpam-5956	668	60	)	)	PUNCT
ejpam-5956	668	61	≥	≥	NOUN
ejpam-5956	668	62	⟨ς	⟨ς	NOUN
ejpam-5956	668	63	,	,	PUNCT
ejpam-5956	668	64	κ	κ	NOUN
ejpam-5956	668	65	,	,	PUNCT
ejpam-5956	668	66	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	668	67	,	,	PUNCT
ejpam-5956	668	68	ς	ς	PROPN
ejpam-5956	668	69	∈	∈	PROPN
ejpam-5956	668	70	i0,κ	i0,κ	PROPN
ejpam-5956	668	71	∈	∈	PROPN
ejpam-5956	668	72	i1	i1	PROPN
ejpam-5956	668	73	and	and	CCONJ
ejpam-5956	668	74	ϑ	ϑ	PROPN
ejpam-5956	668	75	∈	∈	PROPN
ejpam-5956	668	76	i1	i1	PROPN
ejpam-5956	668	77	.	.	PUNCT
ejpam-5956	669	1	proof	proof	NOUN
ejpam-5956	669	2	.	.	PUNCT
ejpam-5956	670	1	(	(	PUNCT
ejpam-5956	670	2	⇒	⇒	NOUN
ejpam-5956	670	3	)	)	PUNCT
ejpam-5956	670	4	let	let	VERB
ejpam-5956	670	5	ξ⟨ς	ξ⟨ς	NUM
ejpam-5956	670	6	,	,	PUNCT
ejpam-5956	670	7	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	670	8	∈	∈	PROPN
ejpam-5956	671	1	d	d	X
ejpam-5956	671	2	(	(	PUNCT
ejpam-5956	671	3	f	f	PROPN
ejpam-5956	671	4	)	)	PUNCT
ejpam-5956	671	5	,	,	PUNCT
ejpam-5956	671	6	q	q	PROPN
ejpam-5956	671	7	∈	∈	PROPN
ejpam-5956	671	8	(	(	PUNCT
ejpam-5956	671	9	i3	i3	NOUN
ejpam-5956	671	10	)	)	PUNCT
ejpam-5956	671	11	υwith	υwith	NOUN
ejpam-5956	671	12	σ	σ	PROPN
ejpam-5956	671	13	(	(	PUNCT
ejpam-5956	671	14	q	q	PROPN
ejpam-5956	671	15	)	)	PUNCT
ejpam-5956	671	16	≥	≥	NOUN
ejpam-5956	671	17	⟨ς	⟨ς	NOUN
ejpam-5956	671	18	,	,	PUNCT
ejpam-5956	671	19	κ	κ	NOUN
ejpam-5956	671	20	,	,	PUNCT
ejpam-5956	671	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	671	22	and	and	CCONJ
ejpam-5956	671	23	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	671	24	,	,	PUNCT
ejpam-5956	671	25	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	671	26	∈	∈	PROPN
ejpam-5956	671	27	fl	fl	PROPN
ejpam-5956	671	28	(	(	PUNCT
ejpam-5956	671	29	q	q	PROPN
ejpam-5956	671	30	)	)	PUNCT
ejpam-5956	671	31	.	.	PUNCT
ejpam-5956	672	1	then	then	ADV
ejpam-5956	672	2	,	,	PUNCT
ejpam-5956	672	3	there	there	PRON
ejpam-5956	672	4	exists	exist	VERB
ejpam-5956	672	5	k	k	PROPN
ejpam-5956	672	6	∈	∈	PROPN
ejpam-5956	672	7	(	(	PUNCT
ejpam-5956	672	8	i3	i3	NOUN
ejpam-5956	672	9	)	)	PUNCT
ejpam-5956	672	10	ξ	ξ	PROPN
ejpam-5956	672	11	,	,	PUNCT
ejpam-5956	672	12	τ(k	τ(k	PROPN
ejpam-5956	672	13	)	)	PUNCT
ejpam-5956	672	14	≥	≥	NUM
ejpam-5956	672	15	⟨ς	⟨ς	NOUN
ejpam-5956	672	16	,	,	PUNCT
ejpam-5956	672	17	κ	κ	NOUN
ejpam-5956	672	18	,	,	PUNCT
ejpam-5956	672	19	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	672	20	and	and	CCONJ
ejpam-5956	672	21	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	672	22	,	,	PUNCT
ejpam-5956	672	23	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	672	24	∈	∈	PROPN
ejpam-5956	672	25	k	k	PRON
ejpam-5956	672	26	such	such	ADJ
ejpam-5956	672	27	that	that	SCONJ
ejpam-5956	672	28	k	k	PROPN
ejpam-5956	672	29	⊆	⊆	NUM
ejpam-5956	672	30	fl(cl∗	fl(cl∗	PROPN
ejpam-5956	672	31	(	(	PUNCT
ejpam-5956	672	32	q	q	X
ejpam-5956	672	33	,	,	PUNCT
ejpam-5956	672	34	⟨ς	⟨ς	NOUN
ejpam-5956	672	35	,	,	PUNCT
ejpam-5956	672	36	κ	κ	NOUN
ejpam-5956	672	37	,	,	PUNCT
ejpam-5956	672	38	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	672	39	)	)	PUNCT
ejpam-5956	672	40	)	)	PUNCT
ejpam-5956	672	41	.	.	PUNCT
ejpam-5956	673	1	thus	thus	ADV
ejpam-5956	673	2	,	,	PUNCT
ejpam-5956	673	3	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	673	4	,	,	PUNCT
ejpam-5956	673	5	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	673	6	∈	∈	PROPN
ejpam-5956	673	7	k	k	PROPN
ejpam-5956	673	8	⊆	⊆	NUM
ejpam-5956	673	9	intτ	intτ	ADV
ejpam-5956	673	10	(	(	PUNCT
ejpam-5956	673	11	fl(cl∗	fl(cl∗	X
ejpam-5956	673	12	(	(	PUNCT
ejpam-5956	673	13	q	q	NOUN
ejpam-5956	673	14	,	,	PUNCT
ejpam-5956	673	15	⟨ς	⟨ς	NOUN
ejpam-5956	673	16	,	,	PUNCT
ejpam-5956	673	17	κ	κ	NOUN
ejpam-5956	673	18	,	,	PUNCT
ejpam-5956	673	19	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	673	20	)	)	PUNCT
ejpam-5956	673	21	)	)	PUNCT
ejpam-5956	673	22	,	,	PUNCT
ejpam-5956	673	23	⟨ς	⟨ς	NOUN
ejpam-5956	673	24	,	,	PUNCT
ejpam-5956	673	25	κ	κ	NOUN
ejpam-5956	673	26	,	,	PUNCT
ejpam-5956	673	27	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	673	28	)	)	PUNCT
ejpam-5956	673	29	,	,	PUNCT
ejpam-5956	673	30	and	and	CCONJ
ejpam-5956	673	31	hence	hence	ADV
ejpam-5956	673	32	fl	fl	PROPN
ejpam-5956	673	33	(	(	PUNCT
ejpam-5956	673	34	q	q	X
ejpam-5956	673	35	)	)	PUNCT
ejpam-5956	673	36	⊆	⊆	NUM
ejpam-5956	673	37	intτ	intτ	ADV
ejpam-5956	673	38	(	(	PUNCT
ejpam-5956	673	39	fl(cl∗	fl(cl∗	X
ejpam-5956	673	40	(	(	PUNCT
ejpam-5956	673	41	q	q	NOUN
ejpam-5956	673	42	,	,	PUNCT
ejpam-5956	673	43	⟨ς	⟨ς	NOUN
ejpam-5956	673	44	,	,	PUNCT
ejpam-5956	673	45	κ	κ	NOUN
ejpam-5956	673	46	,	,	PUNCT
ejpam-5956	673	47	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	673	48	)	)	PUNCT
ejpam-5956	673	49	)	)	PUNCT
ejpam-5956	673	50	,	,	PUNCT
ejpam-5956	673	51	⟨ς	⟨ς	NOUN
ejpam-5956	673	52	,	,	PUNCT
ejpam-5956	673	53	κ	κ	NOUN
ejpam-5956	673	54	,	,	PUNCT
ejpam-5956	673	55	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	673	56	)	)	PUNCT
ejpam-5956	673	57	.	.	PUNCT
ejpam-5956	674	1	(	(	PUNCT
ejpam-5956	674	2	⇐	⇐	NOUN
ejpam-5956	674	3	)	)	PUNCT
ejpam-5956	674	4	let	let	VERB
ejpam-5956	674	5	ξ⟨ς	ξ⟨ς	NUM
ejpam-5956	674	6	,	,	PUNCT
ejpam-5956	674	7	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	674	8	∈	∈	PROPN
ejpam-5956	675	1	d	d	X
ejpam-5956	675	2	(	(	PUNCT
ejpam-5956	675	3	f	f	PROPN
ejpam-5956	675	4	)	)	PUNCT
ejpam-5956	675	5	,	,	PUNCT
ejpam-5956	675	6	q	q	PROPN
ejpam-5956	675	7	∈	∈	PROPN
ejpam-5956	675	8	(	(	PUNCT
ejpam-5956	675	9	i3	i3	NOUN
ejpam-5956	675	10	)	)	PUNCT
ejpam-5956	675	11	υwith	υwith	NOUN
ejpam-5956	675	12	σ	σ	PROPN
ejpam-5956	675	13	(	(	PUNCT
ejpam-5956	675	14	q	q	PROPN
ejpam-5956	675	15	)	)	PUNCT
ejpam-5956	675	16	≥	≥	NOUN
ejpam-5956	675	17	⟨ς	⟨ς	NOUN
ejpam-5956	675	18	,	,	PUNCT
ejpam-5956	675	19	κ	κ	NOUN
ejpam-5956	675	20	,	,	PUNCT
ejpam-5956	675	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	675	22	and	and	CCONJ
ejpam-5956	675	23	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	675	24	,	,	PUNCT
ejpam-5956	675	25	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	675	26	∈	∈	PROPN
ejpam-5956	675	27	fl	fl	PROPN
ejpam-5956	675	28	(	(	PUNCT
ejpam-5956	675	29	q	q	PROPN
ejpam-5956	675	30	)	)	PUNCT
ejpam-5956	675	31	.	.	PUNCT
ejpam-5956	676	1	then	then	ADV
ejpam-5956	676	2	,	,	PUNCT
ejpam-5956	676	3	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	676	4	,	,	PUNCT
ejpam-5956	676	5	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	676	6	∈	∈	PROPN
ejpam-5956	676	7	fl	fl	PROPN
ejpam-5956	676	8	(	(	PUNCT
ejpam-5956	676	9	q	q	PROPN
ejpam-5956	676	10	)	)	PUNCT
ejpam-5956	676	11	⊆	⊆	NUM
ejpam-5956	676	12	intτ	intτ	ADV
ejpam-5956	676	13	(	(	PUNCT
ejpam-5956	676	14	fl(cl∗	fl(cl∗	X
ejpam-5956	676	15	(	(	PUNCT
ejpam-5956	676	16	q	q	NOUN
ejpam-5956	676	17	,	,	PUNCT
ejpam-5956	676	18	⟨ς	⟨ς	NOUN
ejpam-5956	676	19	,	,	PUNCT
ejpam-5956	676	20	κ	κ	NOUN
ejpam-5956	676	21	,	,	PUNCT
ejpam-5956	676	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	676	23	)	)	PUNCT
ejpam-5956	676	24	)	)	PUNCT
ejpam-5956	676	25	,	,	PUNCT
ejpam-5956	676	26	⟨ς	⟨ς	NOUN
ejpam-5956	676	27	,	,	PUNCT
ejpam-5956	676	28	κ	κ	NOUN
ejpam-5956	676	29	,	,	PUNCT
ejpam-5956	676	30	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	676	31	)	)	PUNCT
ejpam-5956	676	32	.	.	PUNCT
ejpam-5956	677	1	thus	thus	ADV
ejpam-5956	677	2	,	,	PUNCT
ejpam-5956	677	3	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	677	4	,	,	PUNCT
ejpam-5956	677	5	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	677	6	∈	∈	PROPN
ejpam-5956	677	7	k	k	PROPN
ejpam-5956	677	8	⊆	⊆	NUM
ejpam-5956	677	9	intτ	intτ	ADV
ejpam-5956	677	10	(	(	PUNCT
ejpam-5956	677	11	fl(cl∗	fl(cl∗	X
ejpam-5956	677	12	(	(	PUNCT
ejpam-5956	677	13	q	q	NOUN
ejpam-5956	677	14	,	,	PUNCT
ejpam-5956	677	15	⟨ς	⟨ς	NOUN
ejpam-5956	677	16	,	,	PUNCT
ejpam-5956	677	17	κ	κ	NOUN
ejpam-5956	677	18	,	,	PUNCT
ejpam-5956	677	19	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	677	20	)	)	PUNCT
ejpam-5956	677	21	)	)	PUNCT
ejpam-5956	677	22	,	,	PUNCT
ejpam-5956	677	23	⟨ς	⟨ς	NOUN
ejpam-5956	677	24	,	,	PUNCT
ejpam-5956	677	25	κ	κ	NOUN
ejpam-5956	677	26	,	,	PUNCT
ejpam-5956	677	27	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	677	28	)	)	PUNCT
ejpam-5956	677	29	⊆	⊆	NUM
ejpam-5956	677	30	fl(cl∗	fl(cl∗	PROPN
ejpam-5956	677	31	(	(	PUNCT
ejpam-5956	677	32	q	q	X
ejpam-5956	677	33	,	,	PUNCT
ejpam-5956	677	34	⟨ς	⟨ς	NOUN
ejpam-5956	677	35	,	,	PUNCT
ejpam-5956	677	36	κ	κ	NOUN
ejpam-5956	677	37	,	,	PUNCT
ejpam-5956	677	38	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	677	39	)	)	PUNCT
ejpam-5956	677	40	)	)	PUNCT
ejpam-5956	677	41	.	.	PUNCT
ejpam-5956	678	1	hence	hence	ADV
ejpam-5956	678	2	,	,	PUNCT
ejpam-5956	678	3	f	f	PROPN
ejpam-5956	678	4	is	be	AUX
ejpam-5956	678	5	pf	pf	PROPN
ejpam-5956	678	6	uw	uw	PROPN
ejpam-5956	678	7	ℓp	ℓp	ADJ
ejpam-5956	678	8	-continuous	-continuous	ADJ
ejpam-5956	678	9	.	.	PUNCT
ejpam-5956	679	1	the	the	DET
ejpam-5956	679	2	following	follow	VERB
ejpam-5956	679	3	theorem	theorem	NOUN
ejpam-5956	679	4	is	be	AUX
ejpam-5956	679	5	similarly	similarly	ADV
ejpam-5956	679	6	proved	prove	VERB
ejpam-5956	679	7	as	as	ADP
ejpam-5956	679	8	the	the	DET
ejpam-5956	679	9	proof	proof	NOUN
ejpam-5956	679	10	of	of	ADP
ejpam-5956	679	11	theorem	theorem	NOUN
ejpam-5956	679	12	3.13	3.13	NUM
ejpam-5956	679	13	.	.	PUNCT
ejpam-5956	680	1	theorem	theorem	VERB
ejpam-5956	680	2	3.14	3.14	NUM
ejpam-5956	680	3	.	.	PUNCT
ejpam-5956	681	1	a	a	DET
ejpam-5956	681	2	normalized	normalize	VERB
ejpam-5956	681	3	pfm	pfm	NOUN
ejpam-5956	681	4	f	f	NOUN
ejpam-5956	681	5	:	:	PUNCT
ejpam-5956	681	6	(	(	PUNCT
ejpam-5956	681	7	ξ	ξ	X
ejpam-5956	681	8	,	,	PUNCT
ejpam-5956	681	9	τ	τ	X
ejpam-5956	681	10	)	)	PUNCT
ejpam-5956	681	11	↬	↬	PROPN
ejpam-5956	681	12	(	(	PUNCT
ejpam-5956	681	13	υ	υ	PROPN
ejpam-5956	681	14	,	,	PUNCT
ejpam-5956	681	15	σ	σ	PROPN
ejpam-5956	681	16	,	,	PUNCT
ejpam-5956	681	17	ℓp	ℓp	ADJ
ejpam-5956	681	18	)	)	PUNCT
ejpam-5956	681	19	is	be	AUX
ejpam-5956	681	20	pf	pf	PROPN
ejpam-5956	681	21	uw	uw	PROPN
ejpam-5956	681	22	ℓp	ℓp	ADJ
ejpam-5956	681	23	-continuous	-continuous	ADJ
ejpam-5956	681	24	iff	iff	PROPN
ejpam-5956	681	25	fu	fu	PROPN
ejpam-5956	681	26	(	(	PUNCT
ejpam-5956	681	27	q	q	NOUN
ejpam-5956	681	28	)	)	PUNCT
ejpam-5956	681	29	⊆	⊆	NUM
ejpam-5956	681	30	intτ	intτ	ADV
ejpam-5956	681	31	(	(	PUNCT
ejpam-5956	681	32	fu(cl∗	fu(cl∗	X
ejpam-5956	681	33	(	(	PUNCT
ejpam-5956	681	34	q	q	NOUN
ejpam-5956	681	35	,	,	PUNCT
ejpam-5956	681	36	⟨ς	⟨ς	NOUN
ejpam-5956	681	37	,	,	PUNCT
ejpam-5956	681	38	κ	κ	NOUN
ejpam-5956	681	39	,	,	PUNCT
ejpam-5956	681	40	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	681	41	)	)	PUNCT
ejpam-5956	681	42	)	)	PUNCT
ejpam-5956	681	43	,	,	PUNCT
ejpam-5956	681	44	⟨ς	⟨ς	NOUN
ejpam-5956	681	45	,	,	PUNCT
ejpam-5956	681	46	κ	κ	NOUN
ejpam-5956	681	47	,	,	PUNCT
ejpam-5956	681	48	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	681	49	)	)	PUNCT
ejpam-5956	681	50	for	for	ADP
ejpam-5956	681	51	each	each	DET
ejpam-5956	681	52	q	q	PROPN
ejpam-5956	681	53	∈	∈	PROPN
ejpam-5956	681	54	(	(	PUNCT
ejpam-5956	681	55	i3	i3	NOUN
ejpam-5956	681	56	)	)	PUNCT
ejpam-5956	681	57	υwith	υwith	NOUN
ejpam-5956	681	58	σ	σ	PROPN
ejpam-5956	681	59	(	(	PUNCT
ejpam-5956	681	60	q	q	NOUN
ejpam-5956	681	61	)	)	PUNCT
ejpam-5956	681	62	≥	≥	NOUN
ejpam-5956	681	63	⟨ς	⟨ς	NOUN
ejpam-5956	681	64	,	,	PUNCT
ejpam-5956	681	65	κ	κ	NOUN
ejpam-5956	681	66	,	,	PUNCT
ejpam-5956	681	67	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	681	68	,	,	PUNCT
ejpam-5956	681	69	ς	ς	PROPN
ejpam-5956	681	70	∈	∈	PROPN
ejpam-5956	681	71	i0,κ	i0,κ	PROPN
ejpam-5956	681	72	∈	∈	PROPN
ejpam-5956	681	73	i1	i1	PROPN
ejpam-5956	681	74	and	and	CCONJ
ejpam-5956	681	75	ϑ	ϑ	PROPN
ejpam-5956	681	76	∈	∈	PROPN
ejpam-5956	681	77	i1	i1	PROPN
ejpam-5956	681	78	.	.	PUNCT
ejpam-5956	682	1	the	the	DET
ejpam-5956	682	2	following	follow	VERB
ejpam-5956	682	3	examples	example	NOUN
ejpam-5956	682	4	shows	show	VERB
ejpam-5956	682	5	that	that	SCONJ
ejpam-5956	682	6	generally	generally	ADV
ejpam-5956	682	7	pf	pf	X
ejpam-5956	682	8	uw	uw	PROPN
ejpam-5956	682	9	ℓp	ℓp	ADJ
ejpam-5956	682	10	-continuous	-continuous	ADJ
ejpam-5956	682	11	and	and	CCONJ
ejpam-5956	682	12	pf	pf	NOUN
ejpam-5956	682	13	lw	lw	NOUN
ejpam-5956	682	14	ℓp	ℓp	ADJ
ejpam-5956	682	15	continuous	continuous	ADJ
ejpam-5956	682	16	(	(	PUNCT
ejpam-5956	682	17	resp	resp	NOUN
ejpam-5956	682	18	.	.	PUNCT
ejpam-5956	683	1	pf	pf	PROPN
ejpam-5956	683	2	uw	uw	PROPN
ejpam-5956	683	3	continuous	continuous	ADJ
ejpam-5956	683	4	and	and	CCONJ
ejpam-5956	683	5	pf	pf	NOUN
ejpam-5956	683	6	lw	lw	PROPN
ejpam-5956	683	7	continuous	continuous	ADJ
ejpam-5956	683	8	)	)	PUNCT
ejpam-5956	683	9	multifunction	multifunction	NOUN
ejpam-5956	683	10	need	need	AUX
ejpam-5956	683	11	not	not	PART
ejpam-5956	683	12	be	be	AUX
ejpam-5956	683	13	either	either	CCONJ
ejpam-5956	683	14	pf	pf	PROPN
ejpam-5956	683	15	ua	ua	PROPN
ejpam-5956	683	16	ℓp	ℓp	PROPN
ejpam-5956	683	17	-continuous	-continuous	ADJ
ejpam-5956	683	18	(	(	PUNCT
ejpam-5956	683	19	resp	resp	NOUN
ejpam-5956	683	20	.	.	PUNCT
ejpam-5956	684	1	pf	pf	PROPN
ejpam-5956	684	2	uw	uw	PROPN
ejpam-5956	684	3	ℓp	ℓp	ADJ
ejpam-5956	684	4	-continuous	-continuous	ADJ
ejpam-5956	684	5	)	)	PUNCT
ejpam-5956	684	6	multifunction	multifunction	NOUN
ejpam-5956	684	7	or	or	CCONJ
ejpam-5956	684	8	pf	pf	PROPN
ejpam-5956	684	9	la	la	ADV
ejpam-5956	684	10	ℓp	ℓp	ADJ
ejpam-5956	684	11	-continuous	-continuous	ADJ
ejpam-5956	684	12	(	(	PUNCT
ejpam-5956	684	13	resp	resp	NOUN
ejpam-5956	684	14	.	.	PUNCT
ejpam-5956	685	1	pf	pf	PROPN
ejpam-5956	685	2	lw	lw	PROPN
ejpam-5956	685	3	ℓp	ℓp	ADJ
ejpam-5956	685	4	-continuous	-continuous	ADJ
ejpam-5956	685	5	)	)	PUNCT
ejpam-5956	685	6	multifunction	multifunction	NOUN
ejpam-5956	685	7	.	.	PUNCT
ejpam-5956	686	1	example	example	NOUN
ejpam-5956	686	2	3.5	3.5	NUM
ejpam-5956	686	3	.	.	PUNCT
ejpam-5956	687	1	from	from	ADP
ejpam-5956	687	2	example	example	NOUN
ejpam-5956	687	3	3.4	3.4	NUM
ejpam-5956	687	4	,	,	PUNCT
ejpam-5956	687	5	f	f	X
ejpam-5956	687	6	:	:	PUNCT
ejpam-5956	687	7	(	(	PUNCT
ejpam-5956	687	8	ξ	ξ	X
ejpam-5956	687	9	,	,	PUNCT
ejpam-5956	687	10	τ	τ	X
ejpam-5956	687	11	)	)	PUNCT
ejpam-5956	687	12	↬	↬	PROPN
ejpam-5956	687	13	(	(	PUNCT
ejpam-5956	687	14	υ	υ	PROPN
ejpam-5956	687	15	,	,	PUNCT
ejpam-5956	687	16	σ	σ	PROPN
ejpam-5956	687	17	,	,	PUNCT
ejpam-5956	687	18	ℓp	ℓp	ADJ
ejpam-5956	687	19	)	)	PUNCT
ejpam-5956	687	20	is	be	AUX
ejpam-5956	687	21	pf	pf	PROPN
ejpam-5956	687	22	uw	uw	PROPN
ejpam-5956	687	23	(	(	PUNCT
ejpam-5956	687	24	resp	resp	NOUN
ejpam-5956	687	25	.	.	PUNCT
ejpam-5956	688	1	pf	pf	PROPN
ejpam-5956	688	2	lw	lw	PROPN
ejpam-5956	688	3	)	)	PUNCT
ejpam-5956	688	4	continuous	continuous	ADJ
ejpam-5956	688	5	but	but	CCONJ
ejpam-5956	688	6	is	be	AUX
ejpam-5956	688	7	not	not	PART
ejpam-5956	688	8	pf	pf	PROPN
ejpam-5956	688	9	uw	uw	PROPN
ejpam-5956	688	10	(	(	PUNCT
ejpam-5956	688	11	resp	resp	NOUN
ejpam-5956	688	12	.	.	PUNCT
ejpam-5956	689	1	pf	pf	PROPN
ejpam-5956	689	2	lw	lw	PROPN
ejpam-5956	689	3	)	)	PUNCT
ejpam-5956	689	4	ℓp	ℓp	ADP
ejpam-5956	689	5	-continuous	-continuous	ADJ
ejpam-5956	689	6	because	because	SCONJ
ejpam-5956	689	7	{	{	PUNCT
ejpam-5956	689	8	⟨ξ	⟨ξ	NOUN
ejpam-5956	689	9	,	,	PUNCT
ejpam-5956	689	10	0.05	0.05	NUM
ejpam-5956	689	11	,	,	PUNCT
ejpam-5956	689	12	0.36	0.36	NUM
ejpam-5956	689	13	,	,	PUNCT
ejpam-5956	689	14	0⟩	0⟩	PROPN
ejpam-5956	689	15	|ξ	|ξ	VERB
ejpam-5956	689	16	∈	∈	PROPN
ejpam-5956	689	17	ξ	ξ	NOUN
ejpam-5956	689	18	}	}	PUNCT
ejpam-5956	689	19	=	=	SYM
ejpam-5956	689	20	fu	fu	ADJ
ejpam-5956	689	21	(	(	PUNCT
ejpam-5956	689	22	q1	q1	PROPN
ejpam-5956	689	23	)	)	PUNCT
ejpam-5956	689	24	⊆	⊆	NUM
ejpam-5956	689	25	intτ	intτ	ADV
ejpam-5956	689	26	(	(	PUNCT
ejpam-5956	689	27	fu(clσ	fu(clσ	PROPN
ejpam-5956	689	28	(	(	PUNCT
ejpam-5956	689	29	q1	q1	PROPN
ejpam-5956	689	30	,	,	PUNCT
ejpam-5956	689	31	⟨0.35	⟨0.35	PROPN
ejpam-5956	689	32	,	,	PUNCT
ejpam-5956	689	33	0.5	0.5	NUM
ejpam-5956	689	34	,	,	PUNCT
ejpam-5956	689	35	0.15⟩	0.15⟩	PROPN
ejpam-5956	689	36	)	)	PUNCT
ejpam-5956	689	37	)	)	PUNCT
ejpam-5956	689	38	,	,	PUNCT
ejpam-5956	689	39	⟨0.35	⟨0.35	PROPN
ejpam-5956	689	40	,	,	PUNCT
ejpam-5956	689	41	0.5	0.5	NUM
ejpam-5956	689	42	,	,	PUNCT
ejpam-5956	689	43	0.15⟩	0.15⟩	PROPN
ejpam-5956	689	44	)	)	PUNCT
ejpam-5956	689	45	=	=	PRON
ejpam-5956	689	46	{	{	PUNCT
ejpam-5956	689	47	⟨ξ	⟨ξ	NOUN
ejpam-5956	689	48	,	,	PUNCT
ejpam-5956	689	49	0.1	0.1	NUM
ejpam-5956	689	50	,	,	PUNCT
ejpam-5956	689	51	0.35	0.35	NUM
ejpam-5956	689	52	,	,	PUNCT
ejpam-5956	689	53	0⟩	0⟩	PROPN
ejpam-5956	689	54	|ξ	|ξ	VERB
ejpam-5956	689	55	∈	∈	PROPN
ejpam-5956	689	56	ξ	ξ	NOUN
ejpam-5956	689	57	}	}	PUNCT
ejpam-5956	689	58	,	,	PUNCT
ejpam-5956	689	59	{	{	PUNCT
ejpam-5956	689	60	⟨ξ	⟨ξ	NOUN
ejpam-5956	689	61	,	,	PUNCT
ejpam-5956	689	62	0.1	0.1	NUM
ejpam-5956	689	63	,	,	PUNCT
ejpam-5956	689	64	0.35	0.35	NUM
ejpam-5956	689	65	,	,	PUNCT
ejpam-5956	689	66	0⟩	0⟩	PROPN
ejpam-5956	689	67	|ξ	|ξ	VERB
ejpam-5956	689	68	∈	∈	PROPN
ejpam-5956	689	69	ξ	ξ	NOUN
ejpam-5956	689	70	}	}	PUNCT
ejpam-5956	689	71	=	=	SYM
ejpam-5956	689	72	fu	fu	ADJ
ejpam-5956	689	73	(	(	PUNCT
ejpam-5956	689	74	q2	q2	NOUN
ejpam-5956	689	75	)	)	PUNCT
ejpam-5956	689	76	⊆	⊆	NUM
ejpam-5956	689	77	intτ	intτ	ADV
ejpam-5956	689	78	(	(	PUNCT
ejpam-5956	689	79	fu(clσ	fu(clσ	PROPN
ejpam-5956	689	80	(	(	PUNCT
ejpam-5956	689	81	q2	q2	NOUN
ejpam-5956	689	82	,	,	PUNCT
ejpam-5956	689	83	⟨0.35	⟨0.35	PROPN
ejpam-5956	689	84	,	,	PUNCT
ejpam-5956	689	85	0.5	0.5	NUM
ejpam-5956	689	86	,	,	PUNCT
ejpam-5956	689	87	0.15⟩	0.15⟩	PROPN
ejpam-5956	689	88	)	)	PUNCT
ejpam-5956	689	89	)	)	PUNCT
ejpam-5956	689	90	,	,	PUNCT
ejpam-5956	689	91	⟨0.35	⟨0.35	PROPN
ejpam-5956	689	92	,	,	PUNCT
ejpam-5956	689	93	0.5	0.5	NUM
ejpam-5956	689	94	,	,	PUNCT
ejpam-5956	689	95	0.15⟩	0.15⟩	PROPN
ejpam-5956	689	96	)	)	PUNCT
ejpam-5956	689	97	=	=	PRON
ejpam-5956	689	98	{	{	PUNCT
ejpam-5956	689	99	⟨ξ	⟨ξ	NOUN
ejpam-5956	689	100	,	,	PUNCT
ejpam-5956	689	101	0.1	0.1	NUM
ejpam-5956	689	102	,	,	PUNCT
ejpam-5956	689	103	0.35	0.35	NUM
ejpam-5956	689	104	,	,	PUNCT
ejpam-5956	689	105	0⟩	0⟩	PROPN
ejpam-5956	689	106	|ξ	|ξ	VERB
ejpam-5956	689	107	∈	∈	PROPN
ejpam-5956	689	108	ξ	ξ	NOUN
ejpam-5956	689	109	}	}	PUNCT
ejpam-5956	689	110	,	,	PUNCT
ejpam-5956	689	111	{	{	PUNCT
ejpam-5956	689	112	⟨ξ	⟨ξ	NOUN
ejpam-5956	689	113	,	,	PUNCT
ejpam-5956	689	114	0.05	0.05	NUM
ejpam-5956	689	115	,	,	PUNCT
ejpam-5956	689	116	0.36	0.36	NUM
ejpam-5956	689	117	,	,	PUNCT
ejpam-5956	689	118	0⟩	0⟩	PROPN
ejpam-5956	689	119	|ξ	|ξ	VERB
ejpam-5956	689	120	∈	∈	PROPN
ejpam-5956	689	121	ξ	ξ	NOUN
ejpam-5956	689	122	}	}	PUNCT
ejpam-5956	689	123	=	=	SYM
ejpam-5956	689	124	fl	fl	PROPN
ejpam-5956	689	125	(	(	PUNCT
ejpam-5956	689	126	q1	q1	PROPN
ejpam-5956	689	127	)	)	PUNCT
ejpam-5956	689	128	⊆	⊆	NUM
ejpam-5956	689	129	intτ	intτ	ADV
ejpam-5956	689	130	(	(	PUNCT
ejpam-5956	689	131	fl(clσ	fl(clσ	PROPN
ejpam-5956	689	132	(	(	PUNCT
ejpam-5956	689	133	q1	q1	PROPN
ejpam-5956	689	134	,	,	PUNCT
ejpam-5956	689	135	⟨0.35	⟨0.35	PROPN
ejpam-5956	689	136	,	,	PUNCT
ejpam-5956	689	137	0.5	0.5	NUM
ejpam-5956	689	138	,	,	PUNCT
ejpam-5956	689	139	0.15⟩	0.15⟩	PROPN
ejpam-5956	689	140	)	)	PUNCT
ejpam-5956	689	141	)	)	PUNCT
ejpam-5956	689	142	,	,	PUNCT
ejpam-5956	689	143	⟨0.35	⟨0.35	PROPN
ejpam-5956	689	144	,	,	PUNCT
ejpam-5956	689	145	0.5	0.5	NUM
ejpam-5956	689	146	,	,	PUNCT
ejpam-5956	689	147	0.15⟩	0.15⟩	PROPN
ejpam-5956	689	148	)	)	PUNCT
ejpam-5956	689	149	=	=	PRON
ejpam-5956	689	150	{	{	PUNCT
ejpam-5956	689	151	⟨ξ	⟨ξ	NOUN
ejpam-5956	689	152	,	,	PUNCT
ejpam-5956	689	153	0.1	0.1	NUM
ejpam-5956	689	154	,	,	PUNCT
ejpam-5956	689	155	0.35	0.35	NUM
ejpam-5956	689	156	,	,	PUNCT
ejpam-5956	689	157	0⟩	0⟩	PROPN
ejpam-5956	689	158	|ξ	|ξ	VERB
ejpam-5956	689	159	∈	∈	PROPN
ejpam-5956	689	160	ξ	ξ	NOUN
ejpam-5956	689	161	}	}	PUNCT
ejpam-5956	689	162	,	,	PUNCT
ejpam-5956	689	163	⟨0.1	⟨0.1	PROPN
ejpam-5956	689	164	,	,	PUNCT
ejpam-5956	689	165	0.35	0.35	NUM
ejpam-5956	689	166	,	,	PUNCT
ejpam-5956	689	167	0⟩	0⟩	PROPN
ejpam-5956	689	168	=	=	SYM
ejpam-5956	689	169	fl	fl	PROPN
ejpam-5956	689	170	(	(	PUNCT
ejpam-5956	689	171	q2	q2	NOUN
ejpam-5956	689	172	)	)	PUNCT
ejpam-5956	689	173	⊆	⊆	NUM
ejpam-5956	689	174	intτ	intτ	ADV
ejpam-5956	689	175	(	(	PUNCT
ejpam-5956	689	176	fl(clσ	fl(clσ	PROPN
ejpam-5956	689	177	(	(	PUNCT
ejpam-5956	689	178	q2	q2	NOUN
ejpam-5956	689	179	,	,	PUNCT
ejpam-5956	689	180	⟨0.35	⟨0.35	PROPN
ejpam-5956	689	181	,	,	PUNCT
ejpam-5956	689	182	0.5	0.5	NUM
ejpam-5956	689	183	,	,	PUNCT
ejpam-5956	689	184	0.15⟩	0.15⟩	PROPN
ejpam-5956	689	185	)	)	PUNCT
ejpam-5956	689	186	)	)	PUNCT
ejpam-5956	689	187	,	,	PUNCT
ejpam-5956	689	188	⟨0.35	⟨0.35	PROPN
ejpam-5956	689	189	,	,	PUNCT
ejpam-5956	689	190	0.5	0.5	NUM
ejpam-5956	689	191	,	,	PUNCT
ejpam-5956	689	192	0.15⟩	0.15⟩	PROPN
ejpam-5956	689	193	)	)	PUNCT
ejpam-5956	689	194	=	=	PRON
ejpam-5956	689	195	{	{	PUNCT
ejpam-5956	689	196	⟨ξ	⟨ξ	NOUN
ejpam-5956	689	197	,	,	PUNCT
ejpam-5956	689	198	0.1	0.1	NUM
ejpam-5956	689	199	,	,	PUNCT
ejpam-5956	689	200	0.35	0.35	NUM
ejpam-5956	689	201	,	,	PUNCT
ejpam-5956	689	202	0⟩	0⟩	PROPN
ejpam-5956	689	203	|ξ	|ξ	VERB
ejpam-5956	689	204	∈	∈	NOUN
ejpam-5956	689	205	ξ	ξ	NOUN
ejpam-5956	689	206	}	}	PUNCT
ejpam-5956	689	207	.	.	PUNCT
ejpam-5956	690	1	but	but	CCONJ
ejpam-5956	690	2	{	{	PUNCT
ejpam-5956	690	3	⟨ξ	⟨ξ	NOUN
ejpam-5956	690	4	,	,	PUNCT
ejpam-5956	690	5	0.05	0.05	NUM
ejpam-5956	690	6	,	,	PUNCT
ejpam-5956	690	7	0.36	0.36	NUM
ejpam-5956	690	8	,	,	PUNCT
ejpam-5956	690	9	0⟩	0⟩	PROPN
ejpam-5956	690	10	|ξ	|ξ	VERB
ejpam-5956	690	11	∈	∈	PROPN
ejpam-5956	690	12	ξ	ξ	NOUN
ejpam-5956	690	13	}	}	PUNCT
ejpam-5956	690	14	=	=	PRON
ejpam-5956	690	15	fu(q1)⊈	fu(q1)⊈	ADV
ejpam-5956	690	16	intτ	intτ	ADV
ejpam-5956	690	17	(	(	PUNCT
ejpam-5956	690	18	fu(cl∗	fu(cl∗	PROPN
ejpam-5956	690	19	(	(	PUNCT
ejpam-5956	690	20	q1	q1	PROPN
ejpam-5956	690	21	,	,	PUNCT
ejpam-5956	690	22	⟨0.35	⟨0.35	PROPN
ejpam-5956	690	23	,	,	PUNCT
ejpam-5956	690	24	0.5	0.5	NUM
ejpam-5956	690	25	,	,	PUNCT
ejpam-5956	690	26	0.15⟩	0.15⟩	PROPN
ejpam-5956	690	27	)	)	PUNCT
ejpam-5956	690	28	)	)	PUNCT
ejpam-5956	690	29	,	,	PUNCT
ejpam-5956	690	30	⟨0.35	⟨0.35	PROPN
ejpam-5956	690	31	,	,	PUNCT
ejpam-5956	690	32	0.5	0.5	NUM
ejpam-5956	690	33	,	,	PUNCT
ejpam-5956	690	34	0.15⟩	0.15⟩	PROPN
ejpam-5956	690	35	)	)	PUNCT
ejpam-5956	691	1	=	=	SYM
ejpam-5956	691	2	♭	♭	PROPN
ejpam-5956	691	3	,	,	PUNCT
ejpam-5956	691	4	{	{	PUNCT
ejpam-5956	691	5	⟨ξ	⟨ξ	NOUN
ejpam-5956	691	6	,	,	PUNCT
ejpam-5956	691	7	0.05	0.05	NUM
ejpam-5956	691	8	,	,	PUNCT
ejpam-5956	691	9	0.36	0.36	NUM
ejpam-5956	691	10	,	,	PUNCT
ejpam-5956	691	11	0⟩	0⟩	PROPN
ejpam-5956	691	12	|ξ	|ξ	VERB
ejpam-5956	691	13	∈	∈	PROPN
ejpam-5956	691	14	ξ	ξ	NOUN
ejpam-5956	691	15	}	}	PUNCT
ejpam-5956	691	16	=	=	NOUN
ejpam-5956	691	17	fl(q1)⊈	fl(q1)⊈	NOUN
ejpam-5956	691	18	intτ	intτ	ADV
ejpam-5956	691	19	(	(	PUNCT
ejpam-5956	691	20	fl(cl∗	fl(cl∗	X
ejpam-5956	691	21	(	(	PUNCT
ejpam-5956	691	22	q1	q1	PROPN
ejpam-5956	691	23	,	,	PUNCT
ejpam-5956	691	24	⟨0.35	⟨0.35	PROPN
ejpam-5956	691	25	,	,	PUNCT
ejpam-5956	691	26	0.5	0.5	NUM
ejpam-5956	691	27	,	,	PUNCT
ejpam-5956	691	28	0.15⟩	0.15⟩	PROPN
ejpam-5956	691	29	)	)	PUNCT
ejpam-5956	691	30	)	)	PUNCT
ejpam-5956	691	31	,	,	PUNCT
ejpam-5956	691	32	⟨0.35	⟨0.35	PROPN
ejpam-5956	691	33	,	,	PUNCT
ejpam-5956	691	34	0.5	0.5	NUM
ejpam-5956	691	35	,	,	PUNCT
ejpam-5956	691	36	0.15⟩	0.15⟩	PROPN
ejpam-5956	691	37	)	)	PUNCT
ejpam-5956	691	38	=	=	SYM
ejpam-5956	692	1	♭	♭	PROPN
ejpam-5956	692	2	.	.	PUNCT
ejpam-5956	692	3	example	example	NOUN
ejpam-5956	692	4	3.6	3.6	NUM
ejpam-5956	692	5	.	.	PUNCT
ejpam-5956	693	1	from	from	ADP
ejpam-5956	693	2	the	the	DET
ejpam-5956	693	3	example	example	NOUN
ejpam-5956	693	4	3.4	3.4	NUM
ejpam-5956	693	5	,	,	PUNCT
ejpam-5956	693	6	for	for	ADP
ejpam-5956	693	7	k1	k1	NOUN
ejpam-5956	693	8	=	=	SYM
ejpam-5956	693	9	{	{	PUNCT
ejpam-5956	693	10	⟨ξ	⟨ξ	NOUN
ejpam-5956	693	11	,	,	PUNCT
ejpam-5956	693	12	0.6	0.6	NUM
ejpam-5956	693	13	,	,	PUNCT
ejpam-5956	693	14	0.3	0.3	NUM
ejpam-5956	693	15	,	,	PUNCT
ejpam-5956	693	16	0.1⟩	0.1⟩	PUNCT
ejpam-5956	693	17	|	|	ADV
ejpam-5956	693	18	ξ	ξ	PROPN
ejpam-5956	693	19	∈	∈	PROPN
ejpam-5956	693	20	ξ	ξ	X
ejpam-5956	693	21	}	}	PUNCT
ejpam-5956	693	22	,	,	PUNCT
ejpam-5956	693	23	q	q	NOUN
ejpam-5956	693	24	1	1	NUM
ejpam-5956	693	25	=	=	SYM
ejpam-5956	693	26	{	{	PUNCT
ejpam-5956	693	27	⟨ζ	⟨ζ	NOUN
ejpam-5956	693	28	,	,	PUNCT
ejpam-5956	693	29	0.3	0.3	NUM
ejpam-5956	693	30	,	,	PUNCT
ejpam-5956	693	31	0.6	0.6	NUM
ejpam-5956	693	32	,	,	PUNCT
ejpam-5956	693	33	0.1⟩	0.1⟩	NUM
ejpam-5956	694	1	|	|	ADV
ejpam-5956	694	2	ζ	ζ	NOUN
ejpam-5956	694	3	∈	∈	NOUN
ejpam-5956	694	4	υ	υ	NOUN
ejpam-5956	694	5	}	}	PUNCT
ejpam-5956	694	6	,	,	PUNCT
ejpam-5956	694	7	define	define	VERB
ejpam-5956	694	8	picture	picture	NOUN
ejpam-5956	694	9	fuzzy	fuzzy	ADJ
ejpam-5956	694	10	topologies	topology	NOUN
ejpam-5956	694	11	τ	τ	X
ejpam-5956	694	12	:	:	PUNCT
ejpam-5956	694	13	(	(	PUNCT
ejpam-5956	694	14	i3	i3	NOUN
ejpam-5956	694	15	)	)	PUNCT
ejpam-5956	694	16	ξ	ξ	PROPN
ejpam-5956	694	17	→	→	SYM
ejpam-5956	694	18	i3	i3	NOUN
ejpam-5956	694	19	,	,	PUNCT
ejpam-5956	694	20	σ	σ	PROPN
ejpam-5956	694	21	:	:	PUNCT
ejpam-5956	694	22	(	(	PUNCT
ejpam-5956	694	23	i3	i3	NOUN
ejpam-5956	694	24	)	)	PUNCT
ejpam-5956	694	25	υ	υ	NOUN
ejpam-5956	694	26	→	→	SYM
ejpam-5956	694	27	i3	i3	NOUN
ejpam-5956	694	28	,	,	PUNCT
ejpam-5956	694	29	and	and	CCONJ
ejpam-5956	694	30	picture	picture	NOUN
ejpam-5956	694	31	fuzzy	fuzzy	ADJ
ejpam-5956	694	32	ideal	ideal	ADJ
ejpam-5956	694	33	ℓp	ℓp	NOUN
ejpam-5956	694	34	:	:	PUNCT
ejpam-5956	694	35	(	(	PUNCT
ejpam-5956	694	36	i3	i3	NOUN
ejpam-5956	694	37	)	)	PUNCT
ejpam-5956	694	38	υ	υ	NOUN
ejpam-5956	694	39	→	→	PUNCT
ejpam-5956	694	40	i3	i3	NOUN
ejpam-5956	694	41	as	as	SCONJ
ejpam-5956	694	42	follows	follow	VERB
ejpam-5956	694	43	:	:	PUNCT
ejpam-5956	695	1	dali	dali	PROPN
ejpam-5956	695	2	shi	shi	PROPN
ejpam-5956	695	3	et	et	PROPN
ejpam-5956	695	4	al	al	PROPN
ejpam-5956	695	5	.	.	PUNCT
ejpam-5956	695	6	/	/	SYM
ejpam-5956	695	7	eur	eur	PROPN
ejpam-5956	695	8	.	.	PUNCT
ejpam-5956	696	1	j.	j.	PROPN
ejpam-5956	696	2	pure	pure	PROPN
ejpam-5956	696	3	appl	appl	PROPN
ejpam-5956	696	4	.	.	PROPN
ejpam-5956	696	5	math	math	PROPN
ejpam-5956	696	6	,	,	PUNCT
ejpam-5956	696	7	18	18	NUM
ejpam-5956	696	8	(	(	PUNCT
ejpam-5956	696	9	2	2	NUM
ejpam-5956	696	10	)	)	PUNCT
ejpam-5956	696	11	(	(	PUNCT
ejpam-5956	696	12	2025	2025	NUM
ejpam-5956	696	13	)	)	PUNCT
ejpam-5956	696	14	,	,	PUNCT
ejpam-5956	696	15	5956	5956	NUM
ejpam-5956	696	16	24	24	NUM
ejpam-5956	696	17	of	of	ADP
ejpam-5956	696	18	30	30	NUM
ejpam-5956	696	19	τ(k	τ(k	NOUN
ejpam-5956	696	20	)	)	PUNCT
ejpam-5956	696	21	=	=	SYM
ejpam-5956	696	22			NUM
ejpam-5956	696	23	⟨1	⟨1	PROPN
ejpam-5956	696	24	,	,	PUNCT
ejpam-5956	696	25	0	0	NUM
ejpam-5956	696	26	,	,	PUNCT
ejpam-5956	696	27	0⟩	0⟩	PROPN
ejpam-5956	697	1	if	if	SCONJ
ejpam-5956	697	2	k	k	PROPN
ejpam-5956	697	3	∈	∈	PROPN
ejpam-5956	697	4	{	{	PUNCT
ejpam-5956	697	5	♭	♭	PROPN
ejpam-5956	697	6	,	,	PUNCT
ejpam-5956	697	7	♯	♯	PROPN
ejpam-5956	697	8	}	}	PUNCT
ejpam-5956	697	9	,	,	PUNCT
ejpam-5956	697	10	⟨0.6	⟨0.6	PROPN
ejpam-5956	697	11	,	,	PUNCT
ejpam-5956	697	12	0.2	0.2	NUM
ejpam-5956	697	13	,	,	PUNCT
ejpam-5956	697	14	0.2⟩	0.2⟩	PUNCT
ejpam-5956	697	15	if	if	SCONJ
ejpam-5956	697	16	k	k	PROPN
ejpam-5956	697	17	=	=	SYM
ejpam-5956	697	18	k1	k1	PROPN
ejpam-5956	697	19	,	,	PUNCT
ejpam-5956	697	20	⟨0	⟨0	PROPN
ejpam-5956	697	21	,	,	PUNCT
ejpam-5956	697	22	1	1	NUM
ejpam-5956	697	23	,	,	PUNCT
ejpam-5956	697	24	0⟩	0⟩	PROPN
ejpam-5956	697	25	otherwise	otherwise	ADV
ejpam-5956	697	26	,	,	PUNCT
ejpam-5956	697	27	,	,	PUNCT
ejpam-5956	697	28	σ	σ	PROPN
ejpam-5956	697	29	(	(	PUNCT
ejpam-5956	697	30	q	q	PROPN
ejpam-5956	697	31	)	)	PUNCT
ejpam-5956	697	32	=	=	SYM
ejpam-5956	697	33			NUM
ejpam-5956	697	34	⟨1	⟨1	PROPN
ejpam-5956	697	35	,	,	PUNCT
ejpam-5956	697	36	0	0	NUM
ejpam-5956	697	37	,	,	PUNCT
ejpam-5956	697	38	0⟩	0⟩	PROPN
ejpam-5956	697	39	if	if	SCONJ
ejpam-5956	697	40	q	q	X
ejpam-5956	697	41	∈	∈	PROPN
ejpam-5956	697	42	{	{	PUNCT
ejpam-5956	697	43	♭	♭	PROPN
ejpam-5956	697	44	,	,	PUNCT
ejpam-5956	697	45	♯	♯	PROPN
ejpam-5956	697	46	}	}	PUNCT
ejpam-5956	697	47	,	,	PUNCT
ejpam-5956	697	48	⟨0.5	⟨0.5	PROPN
ejpam-5956	697	49	,	,	PUNCT
ejpam-5956	697	50	0.3	0.3	NUM
ejpam-5956	697	51	,	,	PUNCT
ejpam-5956	697	52	0.1⟩	0.1⟩	PUNCT
ejpam-5956	698	1	if	if	SCONJ
ejpam-5956	698	2	q	q	PROPN
ejpam-5956	698	3	=	=	X
ejpam-5956	698	4	q	q	NOUN
ejpam-5956	698	5	1	1	NUM
ejpam-5956	698	6	,	,	PUNCT
ejpam-5956	698	7	⟨0	⟨0	PROPN
ejpam-5956	698	8	,	,	PUNCT
ejpam-5956	698	9	1	1	NUM
ejpam-5956	698	10	,	,	PUNCT
ejpam-5956	698	11	0⟩	0⟩	PROPN
ejpam-5956	698	12	otherwise	otherwise	ADV
ejpam-5956	698	13	,	,	PUNCT
ejpam-5956	698	14	ℓp	ℓp	NOUN
ejpam-5956	698	15	(	(	PUNCT
ejpam-5956	698	16	q	q	NOUN
ejpam-5956	698	17	)	)	PUNCT
ejpam-5956	698	18	=	=	PUNCT
ejpam-5956	699	1			PROPN
ejpam-5956	699	2	⟨1	⟨1	PROPN
ejpam-5956	699	3	,	,	PUNCT
ejpam-5956	699	4	0	0	NUM
ejpam-5956	699	5	,	,	PUNCT
ejpam-5956	699	6	0⟩	0⟩	PROPN
ejpam-5956	699	7	if	if	SCONJ
ejpam-5956	699	8	q	q	X
ejpam-5956	699	9	=	=	SYM
ejpam-5956	699	10	♭	♭	PROPN
ejpam-5956	699	11	,	,	PUNCT
ejpam-5956	699	12	⟨0.7	⟨0.7	ADJ
ejpam-5956	699	13	,	,	PUNCT
ejpam-5956	699	14	0.15	0.15	NUM
ejpam-5956	699	15	,	,	PUNCT
ejpam-5956	699	16	0.15⟩	0.15⟩	ADV
ejpam-5956	699	17	if	if	SCONJ
ejpam-5956	699	18	{	{	PUNCT
ejpam-5956	699	19	⟨ζ	⟨ζ	NOUN
ejpam-5956	699	20	,	,	PUNCT
ejpam-5956	699	21	0.4	0.4	NUM
ejpam-5956	699	22	,	,	PUNCT
ejpam-5956	699	23	0.5	0.5	NUM
ejpam-5956	699	24	,	,	PUNCT
ejpam-5956	699	25	0.1⟩	0.1⟩	PUNCT
ejpam-5956	699	26	|ζ	|ζ	PROPN
ejpam-5956	699	27	∈	∈	PROPN
ejpam-5956	699	28	υ	υ	ADP
ejpam-5956	699	29	}	}	PUNCT
ejpam-5956	699	30	⊆	⊆	NUM
ejpam-5956	699	31	q	q	NOUN
ejpam-5956	699	32	⊆	⊆	NUM
ejpam-5956	699	33	♯	♯	PROPN
ejpam-5956	699	34	,	,	PUNCT
ejpam-5956	699	35	⟨0	⟨0	PROPN
ejpam-5956	699	36	,	,	PUNCT
ejpam-5956	699	37	1	1	NUM
ejpam-5956	699	38	,	,	PUNCT
ejpam-5956	699	39	0⟩	0⟩	PROPN
ejpam-5956	699	40	otherwise	otherwise	ADV
ejpam-5956	699	41	.	.	PUNCT
ejpam-5956	700	1	f	f	X
ejpam-5956	700	2	:	:	PUNCT
ejpam-5956	700	3	(	(	PUNCT
ejpam-5956	700	4	ξ	ξ	X
ejpam-5956	700	5	,	,	PUNCT
ejpam-5956	700	6	τ	τ	X
ejpam-5956	700	7	)	)	PUNCT
ejpam-5956	700	8	↬	↬	PROPN
ejpam-5956	700	9	(	(	PUNCT
ejpam-5956	700	10	υ	υ	PROPN
ejpam-5956	700	11	,	,	PUNCT
ejpam-5956	700	12	σ	σ	PROPN
ejpam-5956	700	13	,	,	PUNCT
ejpam-5956	700	14	ℓp	ℓp	ADJ
ejpam-5956	700	15	)	)	PUNCT
ejpam-5956	700	16	is	be	AUX
ejpam-5956	700	17	pf	pf	PROPN
ejpam-5956	700	18	uw	uw	PROPN
ejpam-5956	700	19	(	(	PUNCT
ejpam-5956	700	20	resp	resp	NOUN
ejpam-5956	700	21	.	.	PUNCT
ejpam-5956	701	1	pf	pf	PROPN
ejpam-5956	701	2	lw	lw	PROPN
ejpam-5956	701	3	)	)	PUNCT
ejpam-5956	701	4	ℓp	ℓp	ADP
ejpam-5956	701	5	-continuous	-continuous	ADJ
ejpam-5956	701	6	but	but	CCONJ
ejpam-5956	701	7	is	be	AUX
ejpam-5956	701	8	not	not	PART
ejpam-5956	701	9	pf	pf	PROPN
ejpam-5956	701	10	ua	ua	PROPN
ejpam-5956	701	11	(	(	PUNCT
ejpam-5956	701	12	resp	resp	PROPN
ejpam-5956	701	13	.	.	PUNCT
ejpam-5956	702	1	pf	pf	PROPN
ejpam-5956	702	2	la	la	PROPN
ejpam-5956	702	3	)	)	PUNCT
ejpam-5956	702	4	ℓp	ℓp	ADJ
ejpam-5956	702	5	-continuous	-continuous	ADJ
ejpam-5956	702	6	because	because	SCONJ
ejpam-5956	702	7	{	{	PUNCT
ejpam-5956	702	8	⟨ξ	⟨ξ	NOUN
ejpam-5956	702	9	,	,	PUNCT
ejpam-5956	702	10	0.3	0.3	NUM
ejpam-5956	702	11	,	,	PUNCT
ejpam-5956	702	12	0.6	0.6	NUM
ejpam-5956	702	13	,	,	PUNCT
ejpam-5956	702	14	0⟩	0⟩	PROPN
ejpam-5956	702	15	|ξ	|ξ	VERB
ejpam-5956	702	16	∈	∈	PROPN
ejpam-5956	702	17	ξ	ξ	NOUN
ejpam-5956	702	18	}	}	PUNCT
ejpam-5956	702	19	=	=	SYM
ejpam-5956	702	20	fu	fu	ADJ
ejpam-5956	702	21	(	(	PUNCT
ejpam-5956	702	22	q1	q1	PROPN
ejpam-5956	702	23	)	)	PUNCT
ejpam-5956	702	24	⊆	⊆	NUM
ejpam-5956	702	25	intτ	intτ	ADV
ejpam-5956	702	26	(	(	PUNCT
ejpam-5956	702	27	fu(cl∗	fu(cl∗	PROPN
ejpam-5956	702	28	(	(	PUNCT
ejpam-5956	702	29	q1	q1	PROPN
ejpam-5956	702	30	,	,	PUNCT
ejpam-5956	702	31	⟨0.5	⟨0.5	PROPN
ejpam-5956	702	32	,	,	PUNCT
ejpam-5956	702	33	0.3	0.3	NUM
ejpam-5956	702	34	,	,	PUNCT
ejpam-5956	702	35	0.1⟩	0.1⟩	NUM
ejpam-5956	702	36	)	)	PUNCT
ejpam-5956	702	37	)	)	PUNCT
ejpam-5956	702	38	,	,	PUNCT
ejpam-5956	703	1	⟨0.5	⟨0.5	NOUN
ejpam-5956	703	2	,	,	PUNCT
ejpam-5956	703	3	0.3	0.3	NUM
ejpam-5956	703	4	,	,	PUNCT
ejpam-5956	703	5	0.1⟩	0.1⟩	NUM
ejpam-5956	703	6	)	)	PUNCT
ejpam-5956	703	7	=	=	PRON
ejpam-5956	703	8	{	{	PUNCT
ejpam-5956	703	9	⟨ξ	⟨ξ	NOUN
ejpam-5956	703	10	,	,	PUNCT
ejpam-5956	703	11	0.3	0.3	NUM
ejpam-5956	703	12	,	,	PUNCT
ejpam-5956	703	13	0.6	0.6	NUM
ejpam-5956	703	14	,	,	PUNCT
ejpam-5956	703	15	0⟩	0⟩	PROPN
ejpam-5956	703	16	|ξ	|ξ	VERB
ejpam-5956	703	17	∈	∈	PROPN
ejpam-5956	703	18	ξ	ξ	NOUN
ejpam-5956	703	19	}	}	PUNCT
ejpam-5956	703	20	,	,	PUNCT
ejpam-5956	703	21	{	{	PUNCT
ejpam-5956	703	22	⟨ξ	⟨ξ	NOUN
ejpam-5956	703	23	,	,	PUNCT
ejpam-5956	703	24	0.3	0.3	NUM
ejpam-5956	703	25	,	,	PUNCT
ejpam-5956	703	26	0.6	0.6	NUM
ejpam-5956	703	27	,	,	PUNCT
ejpam-5956	703	28	0⟩	0⟩	PROPN
ejpam-5956	703	29	|ξ	|ξ	VERB
ejpam-5956	703	30	∈	∈	PROPN
ejpam-5956	703	31	ξ	ξ	NOUN
ejpam-5956	703	32	}	}	PUNCT
ejpam-5956	703	33	=	=	SYM
ejpam-5956	703	34	fl	fl	PROPN
ejpam-5956	703	35	(	(	PUNCT
ejpam-5956	703	36	q1	q1	PROPN
ejpam-5956	703	37	)	)	PUNCT
ejpam-5956	703	38	⊆	⊆	NUM
ejpam-5956	703	39	intτ	intτ	ADV
ejpam-5956	703	40	(	(	PUNCT
ejpam-5956	703	41	fl(cl∗	fl(cl∗	X
ejpam-5956	703	42	(	(	PUNCT
ejpam-5956	703	43	q1	q1	PROPN
ejpam-5956	703	44	,	,	PUNCT
ejpam-5956	703	45	⟨0.5	⟨0.5	PROPN
ejpam-5956	703	46	,	,	PUNCT
ejpam-5956	703	47	0.3	0.3	NUM
ejpam-5956	703	48	,	,	PUNCT
ejpam-5956	703	49	0.1⟩	0.1⟩	NUM
ejpam-5956	703	50	)	)	PUNCT
ejpam-5956	703	51	)	)	PUNCT
ejpam-5956	703	52	,	,	PUNCT
ejpam-5956	704	1	⟨0.5	⟨0.5	NOUN
ejpam-5956	704	2	,	,	PUNCT
ejpam-5956	704	3	0.3	0.3	NUM
ejpam-5956	704	4	,	,	PUNCT
ejpam-5956	704	5	0.1⟩	0.1⟩	NUM
ejpam-5956	704	6	)	)	PUNCT
ejpam-5956	704	7	=	=	PRON
ejpam-5956	704	8	{	{	PUNCT
ejpam-5956	704	9	⟨ξ	⟨ξ	NOUN
ejpam-5956	704	10	,	,	PUNCT
ejpam-5956	704	11	0.3	0.3	NUM
ejpam-5956	704	12	,	,	PUNCT
ejpam-5956	704	13	0.6	0.6	NUM
ejpam-5956	704	14	,	,	PUNCT
ejpam-5956	704	15	0⟩	0⟩	PROPN
ejpam-5956	704	16	|ξ	|ξ	VERB
ejpam-5956	704	17	∈	∈	PROPN
ejpam-5956	704	18	ξ	ξ	NOUN
ejpam-5956	704	19	}	}	PUNCT
ejpam-5956	704	20	,	,	PUNCT
ejpam-5956	704	21	but	but	CCONJ
ejpam-5956	704	22	{	{	PUNCT
ejpam-5956	704	23	⟨ξ	⟨ξ	NOUN
ejpam-5956	704	24	,	,	PUNCT
ejpam-5956	704	25	0.3	0.3	NUM
ejpam-5956	704	26	,	,	PUNCT
ejpam-5956	704	27	0.6	0.6	NUM
ejpam-5956	704	28	,	,	PUNCT
ejpam-5956	704	29	0⟩	0⟩	PROPN
ejpam-5956	704	30	|ξ	|ξ	VERB
ejpam-5956	704	31	∈	∈	PROPN
ejpam-5956	704	32	ξ	ξ	NOUN
ejpam-5956	704	33	}	}	PUNCT
ejpam-5956	704	34	=	=	SYM
ejpam-5956	704	35	fu	fu	ADJ
ejpam-5956	704	36	(	(	PUNCT
ejpam-5956	704	37	q1	q1	PROPN
ejpam-5956	704	38	)	)	PUNCT
ejpam-5956	704	39	⊈	⊈	VERB
ejpam-5956	705	1	intτ	intτ	ADV
ejpam-5956	705	2	(	(	PUNCT
ejpam-5956	705	3	fu(intσ(cl	fu(intσ(cl	PROPN
ejpam-5956	705	4	∗	∗	NOUN
ejpam-5956	705	5	(	(	PUNCT
ejpam-5956	705	6	q1	q1	PROPN
ejpam-5956	705	7	,	,	PUNCT
ejpam-5956	705	8	⟨0.5	⟨0.5	PROPN
ejpam-5956	705	9	,	,	PUNCT
ejpam-5956	705	10	0.3	0.3	NUM
ejpam-5956	705	11	,	,	PUNCT
ejpam-5956	705	12	0.1⟩	0.1⟩	NUM
ejpam-5956	705	13	)	)	PUNCT
ejpam-5956	705	14	,	,	PUNCT
ejpam-5956	705	15	⟨0.5	⟨0.5	PROPN
ejpam-5956	705	16	,	,	PUNCT
ejpam-5956	705	17	0.3	0.3	NUM
ejpam-5956	705	18	,	,	PUNCT
ejpam-5956	705	19	0.1⟩	0.1⟩	NUM
ejpam-5956	705	20	)	)	PUNCT
ejpam-5956	705	21	)	)	PUNCT
ejpam-5956	705	22	,	,	PUNCT
ejpam-5956	705	23	⟨0.5	⟨0.5	NOUN
ejpam-5956	705	24	,	,	PUNCT
ejpam-5956	705	25	0.3	0.3	NUM
ejpam-5956	705	26	,	,	PUNCT
ejpam-5956	705	27	0.1⟩	0.1⟩	NUM
ejpam-5956	705	28	)	)	PUNCT
ejpam-5956	706	1	=	=	SYM
ejpam-5956	706	2	♭	♭	PROPN
ejpam-5956	706	3	,	,	PUNCT
ejpam-5956	706	4	{	{	PUNCT
ejpam-5956	706	5	⟨ξ	⟨ξ	NOUN
ejpam-5956	706	6	,	,	PUNCT
ejpam-5956	706	7	0.3	0.3	NUM
ejpam-5956	706	8	,	,	PUNCT
ejpam-5956	706	9	0.6	0.6	NUM
ejpam-5956	706	10	,	,	PUNCT
ejpam-5956	706	11	0⟩	0⟩	PROPN
ejpam-5956	706	12	|ξ	|ξ	VERB
ejpam-5956	706	13	∈	∈	PROPN
ejpam-5956	706	14	ξ	ξ	NOUN
ejpam-5956	706	15	}	}	PUNCT
ejpam-5956	706	16	=	=	SYM
ejpam-5956	706	17	fl	fl	PROPN
ejpam-5956	706	18	(	(	PUNCT
ejpam-5956	706	19	q1	q1	PROPN
ejpam-5956	706	20	)	)	PUNCT
ejpam-5956	706	21	⊈	⊈	VERB
ejpam-5956	707	1	intτ	intτ	ADV
ejpam-5956	707	2	(	(	PUNCT
ejpam-5956	707	3	fl(intσ(cl	fl(intσ(cl	NOUN
ejpam-5956	707	4	∗	∗	NOUN
ejpam-5956	707	5	(	(	PUNCT
ejpam-5956	707	6	q1	q1	PROPN
ejpam-5956	707	7	,	,	PUNCT
ejpam-5956	707	8	⟨0.5	⟨0.5	PROPN
ejpam-5956	707	9	,	,	PUNCT
ejpam-5956	707	10	0.3	0.3	NUM
ejpam-5956	707	11	,	,	PUNCT
ejpam-5956	707	12	0.1⟩	0.1⟩	NUM
ejpam-5956	707	13	)	)	PUNCT
ejpam-5956	707	14	,	,	PUNCT
ejpam-5956	707	15	⟨0.5	⟨0.5	PROPN
ejpam-5956	707	16	,	,	PUNCT
ejpam-5956	707	17	0.3	0.3	NUM
ejpam-5956	707	18	,	,	PUNCT
ejpam-5956	707	19	0.1⟩	0.1⟩	NUM
ejpam-5956	707	20	)	)	PUNCT
ejpam-5956	707	21	)	)	PUNCT
ejpam-5956	707	22	,	,	PUNCT
ejpam-5956	708	1	⟨0.5	⟨0.5	NOUN
ejpam-5956	708	2	,	,	PUNCT
ejpam-5956	708	3	0.3	0.3	NUM
ejpam-5956	708	4	,	,	PUNCT
ejpam-5956	708	5	0.1⟩	0.1⟩	NUM
ejpam-5956	708	6	)	)	PUNCT
ejpam-5956	709	1	=	=	SYM
ejpam-5956	709	2	♭	♭	PROPN
ejpam-5956	709	3	.	.	PUNCT
ejpam-5956	709	4	theorem	theorem	VERB
ejpam-5956	709	5	3.15	3.15	NUM
ejpam-5956	709	6	.	.	PUNCT
ejpam-5956	710	1	a	a	DET
ejpam-5956	710	2	pfm	pfm	NOUN
ejpam-5956	710	3	f	f	NOUN
ejpam-5956	710	4	:	:	PUNCT
ejpam-5956	710	5	(	(	PUNCT
ejpam-5956	710	6	ξ	ξ	X
ejpam-5956	710	7	,	,	PUNCT
ejpam-5956	710	8	τ	τ	X
ejpam-5956	710	9	)	)	PUNCT
ejpam-5956	710	10	↬	↬	PROPN
ejpam-5956	710	11	(	(	PUNCT
ejpam-5956	710	12	υ	υ	PROPN
ejpam-5956	710	13	,	,	PUNCT
ejpam-5956	710	14	σ	σ	PROPN
ejpam-5956	710	15	,	,	PUNCT
ejpam-5956	710	16	ℓp	ℓp	ADJ
ejpam-5956	710	17	)	)	PUNCT
ejpam-5956	710	18	is	be	AUX
ejpam-5956	710	19	pf	pf	PROPN
ejpam-5956	710	20	lw	lw	NOUN
ejpam-5956	710	21	ℓp	ℓp	ADJ
ejpam-5956	710	22	-continuous	-continuous	ADJ
ejpam-5956	710	23	iff	iff	PROPN
ejpam-5956	710	24	clτ	clτ	NOUN
ejpam-5956	710	25	(	(	PUNCT
ejpam-5956	710	26	fu(int∗	fu(int∗	PROPN
ejpam-5956	710	27	(	(	PUNCT
ejpam-5956	710	28	q	q	PROPN
ejpam-5956	710	29	,	,	PUNCT
ejpam-5956	710	30	⟨ς	⟨ς	NOUN
ejpam-5956	710	31	,	,	PUNCT
ejpam-5956	710	32	κ	κ	NOUN
ejpam-5956	710	33	,	,	PUNCT
ejpam-5956	710	34	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	710	35	)	)	PUNCT
ejpam-5956	710	36	)	)	PUNCT
ejpam-5956	710	37	,	,	PUNCT
ejpam-5956	710	38	⟨ς	⟨ς	NOUN
ejpam-5956	710	39	,	,	PUNCT
ejpam-5956	710	40	κ	κ	NOUN
ejpam-5956	710	41	,	,	PUNCT
ejpam-5956	710	42	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	710	43	)	)	PUNCT
ejpam-5956	710	44	⊆	⊆	NUM
ejpam-5956	710	45	fu	fu	NOUN
ejpam-5956	710	46	(	(	PUNCT
ejpam-5956	710	47	q	q	NOUN
ejpam-5956	710	48	)	)	PUNCT
ejpam-5956	710	49	for	for	ADP
ejpam-5956	710	50	each	each	DET
ejpam-5956	710	51	q	q	PROPN
ejpam-5956	710	52	∈	∈	PROPN
ejpam-5956	710	53	(	(	PUNCT
ejpam-5956	710	54	i3	i3	NOUN
ejpam-5956	710	55	)	)	PUNCT
ejpam-5956	710	56	υ	υ	NOUN
ejpam-5956	710	57	with	with	ADP
ejpam-5956	710	58	σ(ⅎ	σ(ⅎ	PROPN
ejpam-5956	710	59	q	q	PROPN
ejpam-5956	710	60	)	)	PUNCT
ejpam-5956	710	61	≥	≥	NOUN
ejpam-5956	710	62	⟨ς	⟨ς	NOUN
ejpam-5956	710	63	,	,	PUNCT
ejpam-5956	710	64	κ	κ	NOUN
ejpam-5956	710	65	,	,	PUNCT
ejpam-5956	710	66	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	710	67	,	,	PUNCT
ejpam-5956	710	68	ς	ς	PROPN
ejpam-5956	710	69	∈	∈	PROPN
ejpam-5956	710	70	i0,κ	i0,κ	PROPN
ejpam-5956	710	71	∈	∈	PROPN
ejpam-5956	710	72	i1	i1	PROPN
ejpam-5956	710	73	and	and	CCONJ
ejpam-5956	710	74	ϑ	ϑ	PROPN
ejpam-5956	710	75	∈	∈	PROPN
ejpam-5956	710	76	i1	i1	PROPN
ejpam-5956	710	77	.	.	PUNCT
ejpam-5956	711	1	proof	proof	NOUN
ejpam-5956	711	2	.	.	PUNCT
ejpam-5956	712	1	(	(	PUNCT
ejpam-5956	712	2	⇒	⇒	NOUN
ejpam-5956	712	3	)	)	PUNCT
ejpam-5956	712	4	let	let	VERB
ejpam-5956	712	5	q	q	PROPN
ejpam-5956	712	6	∈	∈	PROPN
ejpam-5956	712	7	(	(	PUNCT
ejpam-5956	712	8	i3	i3	NOUN
ejpam-5956	712	9	)	)	PUNCT
ejpam-5956	712	10	υwith	υwith	NOUN
ejpam-5956	712	11	σ(ⅎ	σ(ⅎ	PROPN
ejpam-5956	712	12	q	q	PROPN
ejpam-5956	712	13	)	)	PUNCT
ejpam-5956	712	14	≥	≥	NOUN
ejpam-5956	712	15	⟨ς	⟨ς	NOUN
ejpam-5956	712	16	,	,	PUNCT
ejpam-5956	712	17	κ	κ	NOUN
ejpam-5956	712	18	,	,	PUNCT
ejpam-5956	712	19	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	712	20	.	.	PUNCT
ejpam-5956	713	1	then	then	ADV
ejpam-5956	713	2	,	,	PUNCT
ejpam-5956	713	3	by	by	ADP
ejpam-5956	713	4	theorem	theorem	NOUN
ejpam-5956	713	5	3.13	3.13	NUM
ejpam-5956	713	6	,	,	PUNCT
ejpam-5956	713	7	ⅎ	ⅎ	PROPN
ejpam-5956	713	8	fu	fu	NOUN
ejpam-5956	713	9	(	(	PUNCT
ejpam-5956	713	10	q	q	NOUN
ejpam-5956	713	11	)	)	PUNCT
ejpam-5956	713	12	=	=	SYM
ejpam-5956	713	13	fl(ⅎ	fl(ⅎ	X
ejpam-5956	713	14	q	q	X
ejpam-5956	713	15	)	)	PUNCT
ejpam-5956	713	16	⊆	⊆	NUM
ejpam-5956	713	17	intτ	intτ	ADV
ejpam-5956	713	18	(	(	PUNCT
ejpam-5956	713	19	fl(cl∗	fl(cl∗	PROPN
ejpam-5956	713	20	(	(	PUNCT
ejpam-5956	713	21	ⅎ	ⅎ	X
ejpam-5956	713	22	q	q	NOUN
ejpam-5956	713	23	,	,	PUNCT
ejpam-5956	713	24	⟨ς	⟨ς	NOUN
ejpam-5956	713	25	,	,	PUNCT
ejpam-5956	713	26	κ	κ	NOUN
ejpam-5956	713	27	,	,	PUNCT
ejpam-5956	713	28	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	713	29	)	)	PUNCT
ejpam-5956	713	30	)	)	PUNCT
ejpam-5956	713	31	,	,	PUNCT
ejpam-5956	713	32	⟨ς	⟨ς	NOUN
ejpam-5956	713	33	,	,	PUNCT
ejpam-5956	713	34	κ	κ	NOUN
ejpam-5956	713	35	,	,	PUNCT
ejpam-5956	713	36	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	713	37	)	)	PUNCT
ejpam-5956	713	38	=	=	SYM
ejpam-5956	713	39	ⅎ	ⅎ	PRON
ejpam-5956	713	40	clτ	clτ	NOUN
ejpam-5956	713	41	(	(	PUNCT
ejpam-5956	713	42	fu(int∗	fu(int∗	PROPN
ejpam-5956	713	43	(	(	PUNCT
ejpam-5956	713	44	q	q	PROPN
ejpam-5956	713	45	,	,	PUNCT
ejpam-5956	713	46	⟨ς	⟨ς	NOUN
ejpam-5956	713	47	,	,	PUNCT
ejpam-5956	713	48	κ	κ	NOUN
ejpam-5956	713	49	,	,	PUNCT
ejpam-5956	713	50	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	713	51	)	)	PUNCT
ejpam-5956	713	52	)	)	PUNCT
ejpam-5956	713	53	,	,	PUNCT
ejpam-5956	713	54	⟨ς	⟨ς	NOUN
ejpam-5956	713	55	,	,	PUNCT
ejpam-5956	713	56	κ	κ	NOUN
ejpam-5956	713	57	,	,	PUNCT
ejpam-5956	713	58	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	713	59	)	)	PUNCT
ejpam-5956	713	60	.	.	PUNCT
ejpam-5956	714	1	thus	thus	ADV
ejpam-5956	714	2	,	,	PUNCT
ejpam-5956	714	3	clτ	clτ	INTJ
ejpam-5956	714	4	(	(	PUNCT
ejpam-5956	714	5	fu(int∗	fu(int∗	PROPN
ejpam-5956	714	6	(	(	PUNCT
ejpam-5956	714	7	q	q	PROPN
ejpam-5956	714	8	,	,	PUNCT
ejpam-5956	714	9	⟨ς	⟨ς	NOUN
ejpam-5956	714	10	,	,	PUNCT
ejpam-5956	714	11	κ	κ	NOUN
ejpam-5956	714	12	,	,	PUNCT
ejpam-5956	714	13	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	714	14	)	)	PUNCT
ejpam-5956	714	15	)	)	PUNCT
ejpam-5956	714	16	,	,	PUNCT
ejpam-5956	714	17	⟨ς	⟨ς	NOUN
ejpam-5956	714	18	,	,	PUNCT
ejpam-5956	714	19	κ	κ	NOUN
ejpam-5956	714	20	,	,	PUNCT
ejpam-5956	714	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	714	22	)	)	PUNCT
ejpam-5956	714	23	⊆	⊆	NUM
ejpam-5956	714	24	fu	fu	NOUN
ejpam-5956	714	25	(	(	PUNCT
ejpam-5956	714	26	q	q	NOUN
ejpam-5956	714	27	)	)	PUNCT
ejpam-5956	714	28	.	.	PUNCT
ejpam-5956	715	1	(	(	PUNCT
ejpam-5956	715	2	⇐	⇐	NOUN
ejpam-5956	715	3	)	)	PUNCT
ejpam-5956	715	4	let	let	VERB
ejpam-5956	715	5	ξ⟨ς	ξ⟨ς	NUM
ejpam-5956	715	6	,	,	PUNCT
ejpam-5956	715	7	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	715	8	∈	∈	PROPN
ejpam-5956	716	1	d	d	X
ejpam-5956	716	2	(	(	PUNCT
ejpam-5956	716	3	f	f	PROPN
ejpam-5956	716	4	)	)	PUNCT
ejpam-5956	716	5	,	,	PUNCT
ejpam-5956	716	6	q	q	PROPN
ejpam-5956	716	7	∈	∈	PROPN
ejpam-5956	716	8	(	(	PUNCT
ejpam-5956	716	9	i3	i3	NOUN
ejpam-5956	716	10	)	)	PUNCT
ejpam-5956	716	11	υwith	υwith	NOUN
ejpam-5956	716	12	σ	σ	PROPN
ejpam-5956	716	13	(	(	PUNCT
ejpam-5956	716	14	q	q	PROPN
ejpam-5956	716	15	)	)	PUNCT
ejpam-5956	716	16	≥	≥	NOUN
ejpam-5956	716	17	⟨ς	⟨ς	NOUN
ejpam-5956	716	18	,	,	PUNCT
ejpam-5956	716	19	κ	κ	NOUN
ejpam-5956	716	20	,	,	PUNCT
ejpam-5956	716	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	716	22	and	and	CCONJ
ejpam-5956	716	23	ξt	ξt	X
ejpam-5956	716	24	∈	∈	NOUN
ejpam-5956	716	25	fl	fl	PROPN
ejpam-5956	716	26	(	(	PUNCT
ejpam-5956	716	27	q	q	PROPN
ejpam-5956	716	28	)	)	PUNCT
ejpam-5956	716	29	.	.	PUNCT
ejpam-5956	717	1	then	then	ADV
ejpam-5956	717	2	,	,	PUNCT
ejpam-5956	717	3	ⅎintτ	ⅎintτ	NOUN
ejpam-5956	717	4	(	(	PUNCT
ejpam-5956	717	5	fl(cl∗	fl(cl∗	X
ejpam-5956	717	6	(	(	PUNCT
ejpam-5956	717	7	q	q	NOUN
ejpam-5956	717	8	,	,	PUNCT
ejpam-5956	717	9	⟨ς	⟨ς	NOUN
ejpam-5956	717	10	,	,	PUNCT
ejpam-5956	717	11	κ	κ	NOUN
ejpam-5956	717	12	,	,	PUNCT
ejpam-5956	717	13	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	717	14	)	)	PUNCT
ejpam-5956	717	15	)	)	PUNCT
ejpam-5956	717	16	,	,	PUNCT
ejpam-5956	717	17	⟨ς	⟨ς	NOUN
ejpam-5956	717	18	,	,	PUNCT
ejpam-5956	717	19	κ	κ	NOUN
ejpam-5956	717	20	,	,	PUNCT
ejpam-5956	717	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	717	22	)	)	PUNCT
ejpam-5956	717	23	=	=	SYM
ejpam-5956	717	24	clτ	clτ	NOUN
ejpam-5956	717	25	(	(	PUNCT
ejpam-5956	717	26	fu(int∗	fu(int∗	PROPN
ejpam-5956	717	27	(	(	PUNCT
ejpam-5956	717	28	ⅎ	ⅎ	PROPN
ejpam-5956	717	29	q	q	NOUN
ejpam-5956	717	30	,	,	PUNCT
ejpam-5956	717	31	⟨ς	⟨ς	NOUN
ejpam-5956	717	32	,	,	PUNCT
ejpam-5956	717	33	κ	κ	NOUN
ejpam-5956	717	34	,	,	PUNCT
ejpam-5956	717	35	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	717	36	)	)	PUNCT
ejpam-5956	717	37	)	)	PUNCT
ejpam-5956	717	38	,	,	PUNCT
ejpam-5956	717	39	⟨ς	⟨ς	NOUN
ejpam-5956	717	40	,	,	PUNCT
ejpam-5956	717	41	κ	κ	NOUN
ejpam-5956	717	42	,	,	PUNCT
ejpam-5956	717	43	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	717	44	)	)	PUNCT
ejpam-5956	718	1	⊆	⊆	NUM
ejpam-5956	718	2	fu(ⅎ	fu(ⅎ	NUM
ejpam-5956	718	3	q	q	NOUN
ejpam-5956	718	4	)	)	PUNCT
ejpam-5956	718	5	=	=	SYM
ejpam-5956	718	6	ⅎ	ⅎ	PROPN
ejpam-5956	718	7	fl	fl	INTJ
ejpam-5956	718	8	(	(	PUNCT
ejpam-5956	718	9	q	q	NOUN
ejpam-5956	718	10	)	)	PUNCT
ejpam-5956	718	11	,	,	PUNCT
ejpam-5956	718	12	and	and	CCONJ
ejpam-5956	718	13	hence	hence	ADV
ejpam-5956	718	14	,	,	PUNCT
ejpam-5956	718	15	fl	fl	PROPN
ejpam-5956	718	16	(	(	PUNCT
ejpam-5956	718	17	q	q	NOUN
ejpam-5956	718	18	)	)	PUNCT
ejpam-5956	718	19	⊆	⊆	NUM
ejpam-5956	718	20	intτ	intτ	ADV
ejpam-5956	718	21	(	(	PUNCT
ejpam-5956	718	22	fl(cl∗	fl(cl∗	X
ejpam-5956	718	23	(	(	PUNCT
ejpam-5956	718	24	q	q	NOUN
ejpam-5956	718	25	,	,	PUNCT
ejpam-5956	718	26	⟨ς	⟨ς	NOUN
ejpam-5956	718	27	,	,	PUNCT
ejpam-5956	718	28	κ	κ	NOUN
ejpam-5956	718	29	,	,	PUNCT
ejpam-5956	718	30	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	718	31	)	)	PUNCT
ejpam-5956	718	32	)	)	PUNCT
ejpam-5956	718	33	,	,	PUNCT
ejpam-5956	718	34	⟨ς	⟨ς	NOUN
ejpam-5956	718	35	,	,	PUNCT
ejpam-5956	718	36	κ	κ	NOUN
ejpam-5956	718	37	,	,	PUNCT
ejpam-5956	718	38	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	718	39	)	)	PUNCT
ejpam-5956	718	40	.	.	PUNCT
ejpam-5956	719	1	thus	thus	ADV
ejpam-5956	719	2	,	,	PUNCT
ejpam-5956	719	3	it	it	PRON
ejpam-5956	719	4	is	be	AUX
ejpam-5956	719	5	pf	pf	PROPN
ejpam-5956	719	6	lw	lw	NOUN
ejpam-5956	719	7	ℓp	ℓp	ADJ
ejpam-5956	719	8	-continuous	-continuous	ADJ
ejpam-5956	719	9	.	.	PUNCT
ejpam-5956	720	1	the	the	DET
ejpam-5956	720	2	following	follow	VERB
ejpam-5956	720	3	theorem	theorem	NOUN
ejpam-5956	720	4	is	be	AUX
ejpam-5956	720	5	similarly	similarly	ADV
ejpam-5956	720	6	proved	prove	VERB
ejpam-5956	720	7	as	as	ADP
ejpam-5956	720	8	the	the	DET
ejpam-5956	720	9	proof	proof	NOUN
ejpam-5956	720	10	of	of	ADP
ejpam-5956	720	11	theorem	theorem	NOUN
ejpam-5956	720	12	3.15	3.15	NUM
ejpam-5956	720	13	.	.	PUNCT
ejpam-5956	721	1	dali	dali	PROPN
ejpam-5956	721	2	shi	shi	PROPN
ejpam-5956	721	3	et	et	PROPN
ejpam-5956	721	4	al	al	PROPN
ejpam-5956	721	5	.	.	PUNCT
ejpam-5956	721	6	/	/	SYM
ejpam-5956	721	7	eur	eur	PROPN
ejpam-5956	721	8	.	.	PUNCT
ejpam-5956	722	1	j.	j.	PROPN
ejpam-5956	722	2	pure	pure	PROPN
ejpam-5956	722	3	appl	appl	PROPN
ejpam-5956	722	4	.	.	PROPN
ejpam-5956	722	5	math	math	PROPN
ejpam-5956	722	6	,	,	PUNCT
ejpam-5956	722	7	18	18	NUM
ejpam-5956	722	8	(	(	PUNCT
ejpam-5956	722	9	2	2	NUM
ejpam-5956	722	10	)	)	PUNCT
ejpam-5956	722	11	(	(	PUNCT
ejpam-5956	722	12	2025	2025	NUM
ejpam-5956	722	13	)	)	PUNCT
ejpam-5956	722	14	,	,	PUNCT
ejpam-5956	722	15	5956	5956	NUM
ejpam-5956	722	16	25	25	NUM
ejpam-5956	722	17	of	of	ADP
ejpam-5956	722	18	30	30	NUM
ejpam-5956	722	19	theorem	theorem	VERB
ejpam-5956	722	20	3.16	3.16	NUM
ejpam-5956	722	21	.	.	PUNCT
ejpam-5956	723	1	a	a	DET
ejpam-5956	723	2	normalized	normalize	VERB
ejpam-5956	723	3	pfm	pfm	NOUN
ejpam-5956	723	4	f	f	NOUN
ejpam-5956	723	5	:	:	PUNCT
ejpam-5956	723	6	(	(	PUNCT
ejpam-5956	723	7	ξ	ξ	X
ejpam-5956	723	8	,	,	PUNCT
ejpam-5956	723	9	τ	τ	X
ejpam-5956	723	10	)	)	PUNCT
ejpam-5956	723	11	↬	↬	PROPN
ejpam-5956	723	12	(	(	PUNCT
ejpam-5956	723	13	υ	υ	PROPN
ejpam-5956	723	14	,	,	PUNCT
ejpam-5956	723	15	σ	σ	PROPN
ejpam-5956	723	16	,	,	PUNCT
ejpam-5956	723	17	ℓp	ℓp	ADJ
ejpam-5956	723	18	)	)	PUNCT
ejpam-5956	723	19	is	be	AUX
ejpam-5956	723	20	pf	pf	PROPN
ejpam-5956	723	21	uw	uw	PROPN
ejpam-5956	723	22	ℓp	ℓp	ADJ
ejpam-5956	723	23	-continuous	-continuous	ADJ
ejpam-5956	723	24	iff	iff	PROPN
ejpam-5956	723	25	clτ	clτ	NOUN
ejpam-5956	723	26	(	(	PUNCT
ejpam-5956	723	27	fl(int∗	fl(int∗	PROPN
ejpam-5956	723	28	(	(	PUNCT
ejpam-5956	723	29	q	q	PROPN
ejpam-5956	723	30	,	,	PUNCT
ejpam-5956	723	31	⟨ς	⟨ς	NOUN
ejpam-5956	723	32	,	,	PUNCT
ejpam-5956	723	33	κ	κ	NOUN
ejpam-5956	723	34	,	,	PUNCT
ejpam-5956	723	35	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	723	36	)	)	PUNCT
ejpam-5956	723	37	)	)	PUNCT
ejpam-5956	723	38	,	,	PUNCT
ejpam-5956	723	39	⟨ς	⟨ς	NOUN
ejpam-5956	723	40	,	,	PUNCT
ejpam-5956	723	41	κ	κ	NOUN
ejpam-5956	723	42	,	,	PUNCT
ejpam-5956	723	43	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	723	44	)	)	PUNCT
ejpam-5956	723	45	⊆	⊆	NUM
ejpam-5956	723	46	fl	fl	PROPN
ejpam-5956	723	47	(	(	PUNCT
ejpam-5956	723	48	q	q	NOUN
ejpam-5956	723	49	)	)	PUNCT
ejpam-5956	723	50	for	for	ADP
ejpam-5956	723	51	each	each	DET
ejpam-5956	723	52	q	q	PROPN
ejpam-5956	723	53	∈	∈	PROPN
ejpam-5956	723	54	(	(	PUNCT
ejpam-5956	723	55	i3	i3	NOUN
ejpam-5956	723	56	)	)	PUNCT
ejpam-5956	723	57	υwith	υwith	NOUN
ejpam-5956	723	58	σ(ⅎ	σ(ⅎ	PROPN
ejpam-5956	723	59	q	q	PROPN
ejpam-5956	723	60	)	)	PUNCT
ejpam-5956	723	61	≥	≥	NOUN
ejpam-5956	723	62	⟨ς	⟨ς	NOUN
ejpam-5956	723	63	,	,	PUNCT
ejpam-5956	723	64	κ	κ	NOUN
ejpam-5956	723	65	,	,	PUNCT
ejpam-5956	723	66	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	723	67	,	,	PUNCT
ejpam-5956	723	68	ς	ς	PROPN
ejpam-5956	723	69	∈	∈	PROPN
ejpam-5956	723	70	i0,κ	i0,κ	PROPN
ejpam-5956	723	71	∈	∈	PROPN
ejpam-5956	723	72	i1	i1	PROPN
ejpam-5956	723	73	and	and	CCONJ
ejpam-5956	723	74	ϑ	ϑ	PROPN
ejpam-5956	723	75	∈	∈	PROPN
ejpam-5956	723	76	i1	i1	PROPN
ejpam-5956	723	77	.	.	PUNCT
ejpam-5956	724	1	theorem	theorem	VERB
ejpam-5956	724	2	3.17	3.17	NUM
ejpam-5956	724	3	.	.	PUNCT
ejpam-5956	725	1	if	if	SCONJ
ejpam-5956	725	2	f	f	PROPN
ejpam-5956	725	3	:	:	PUNCT
ejpam-5956	725	4	(	(	PUNCT
ejpam-5956	725	5	ξ	ξ	X
ejpam-5956	725	6	,	,	PUNCT
ejpam-5956	725	7	τ	τ	X
ejpam-5956	725	8	)	)	PUNCT
ejpam-5956	725	9	↬	↬	PROPN
ejpam-5956	725	10	(	(	PUNCT
ejpam-5956	725	11	υ	υ	PROPN
ejpam-5956	725	12	,	,	PUNCT
ejpam-5956	725	13	σ	σ	PROPN
ejpam-5956	725	14	,	,	PUNCT
ejpam-5956	725	15	ℓp	ℓp	NOUN
ejpam-5956	725	16	)	)	PUNCT
ejpam-5956	725	17	is	be	AUX
ejpam-5956	725	18	normalized	normalize	VERB
ejpam-5956	725	19	pf	pf	PROPN
ejpam-5956	725	20	uw	uw	PROPN
ejpam-5956	725	21	ℓp	ℓp	PROPN
ejpam-5956	725	22	-continuous	-continuous	ADJ
ejpam-5956	725	23	and	and	CCONJ
ejpam-5956	725	24	f	f	PROPN
ejpam-5956	725	25	(	(	PUNCT
ejpam-5956	725	26	k	k	NOUN
ejpam-5956	725	27	)	)	PUNCT
ejpam-5956	725	28	⊆	⊆	NUM
ejpam-5956	725	29	intσ(cl	intσ(cl	PROPN
ejpam-5956	725	30	∗(f	∗(f	NOUN
ejpam-5956	725	31	(	(	PUNCT
ejpam-5956	725	32	k	k	NOUN
ejpam-5956	725	33	)	)	PUNCT
ejpam-5956	725	34	,	,	PUNCT
ejpam-5956	725	35	⟨ς	⟨ς	X
ejpam-5956	725	36	,	,	PUNCT
ejpam-5956	725	37	κ	κ	NOUN
ejpam-5956	725	38	,	,	PUNCT
ejpam-5956	725	39	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	725	40	)	)	PUNCT
ejpam-5956	725	41	,	,	PUNCT
ejpam-5956	725	42	⟨ς	⟨ς	NOUN
ejpam-5956	725	43	,	,	PUNCT
ejpam-5956	725	44	κ	κ	NOUN
ejpam-5956	725	45	,	,	PUNCT
ejpam-5956	725	46	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	725	47	)	)	PUNCT
ejpam-5956	725	48	for	for	ADP
ejpam-5956	725	49	each	each	DET
ejpam-5956	725	50	k	k	PROPN
ejpam-5956	725	51	∈	∈	PROPN
ejpam-5956	725	52	(	(	PUNCT
ejpam-5956	725	53	i3	i3	NOUN
ejpam-5956	725	54	)	)	PUNCT
ejpam-5956	725	55	ξ	ξ	X
ejpam-5956	725	56	.	.	PUNCT
ejpam-5956	726	1	then	then	ADV
ejpam-5956	726	2	,	,	PUNCT
ejpam-5956	726	3	f	f	PROPN
ejpam-5956	726	4	is	be	AUX
ejpam-5956	726	5	pf	pf	PROPN
ejpam-5956	726	6	ua	ua	NOUN
ejpam-5956	726	7	ℓp	ℓp	ADJ
ejpam-5956	726	8	continuous	continuous	ADJ
ejpam-5956	726	9	.	.	PUNCT
ejpam-5956	727	1	proof	proof	NOUN
ejpam-5956	727	2	.	.	PUNCT
ejpam-5956	728	1	let	let	VERB
ejpam-5956	728	2	ξ⟨ς	ξ⟨ς	NUM
ejpam-5956	728	3	,	,	PUNCT
ejpam-5956	728	4	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	728	5	∈	∈	PROPN
ejpam-5956	729	1	d	d	X
ejpam-5956	729	2	(	(	PUNCT
ejpam-5956	729	3	f	f	PROPN
ejpam-5956	729	4	)	)	PUNCT
ejpam-5956	729	5	,	,	PUNCT
ejpam-5956	729	6	q	q	PROPN
ejpam-5956	729	7	∈	∈	PROPN
ejpam-5956	729	8	(	(	PUNCT
ejpam-5956	729	9	i3	i3	NOUN
ejpam-5956	729	10	)	)	PUNCT
ejpam-5956	729	11	υ	υ	PROPN
ejpam-5956	729	12	,	,	PUNCT
ejpam-5956	729	13	σ	σ	PROPN
ejpam-5956	729	14	(	(	PUNCT
ejpam-5956	729	15	q	q	PROPN
ejpam-5956	729	16	)	)	PUNCT
ejpam-5956	729	17	≥	≥	NOUN
ejpam-5956	729	18	⟨ς	⟨ς	NOUN
ejpam-5956	729	19	,	,	PUNCT
ejpam-5956	729	20	κ	κ	NOUN
ejpam-5956	729	21	,	,	PUNCT
ejpam-5956	729	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	729	23	and	and	CCONJ
ejpam-5956	729	24	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	729	25	,	,	PUNCT
ejpam-5956	729	26	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	729	27	∈	∈	PROPN
ejpam-5956	729	28	fu	fu	NOUN
ejpam-5956	729	29	(	(	PUNCT
ejpam-5956	729	30	q	q	PROPN
ejpam-5956	729	31	)	)	PUNCT
ejpam-5956	729	32	.	.	PUNCT
ejpam-5956	730	1	then	then	ADV
ejpam-5956	730	2	,	,	PUNCT
ejpam-5956	730	3	there	there	PRON
ejpam-5956	730	4	exists	exist	VERB
ejpam-5956	730	5	k	k	PROPN
ejpam-5956	730	6	∈	∈	PROPN
ejpam-5956	730	7	(	(	PUNCT
ejpam-5956	730	8	i3	i3	NOUN
ejpam-5956	730	9	)	)	PUNCT
ejpam-5956	730	10	ξ	ξ	PROPN
ejpam-5956	730	11	with	with	ADP
ejpam-5956	730	12	τ(k	τ(k	PROPN
ejpam-5956	730	13	)	)	PUNCT
ejpam-5956	730	14	≥	≥	NOUN
ejpam-5956	730	15	⟨ς	⟨ς	NOUN
ejpam-5956	730	16	,	,	PUNCT
ejpam-5956	730	17	κ	κ	NOUN
ejpam-5956	730	18	,	,	PUNCT
ejpam-5956	730	19	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	730	20	and	and	CCONJ
ejpam-5956	730	21	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	730	22	,	,	PUNCT
ejpam-5956	730	23	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	730	24	∈	∈	PROPN
ejpam-5956	730	25	k	k	PRON
ejpam-5956	730	26	such	such	ADJ
ejpam-5956	730	27	that	that	SCONJ
ejpam-5956	730	28	k	k	PROPN
ejpam-5956	730	29	⊆	⊆	NUM
ejpam-5956	730	30	fu(cl∗	fu(cl∗	PROPN
ejpam-5956	730	31	(	(	PUNCT
ejpam-5956	730	32	q	q	NOUN
ejpam-5956	730	33	,	,	PUNCT
ejpam-5956	730	34	⟨ς	⟨ς	NOUN
ejpam-5956	730	35	,	,	PUNCT
ejpam-5956	730	36	κ	κ	NOUN
ejpam-5956	730	37	,	,	PUNCT
ejpam-5956	730	38	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	730	39	)	)	PUNCT
ejpam-5956	730	40	)	)	PUNCT
ejpam-5956	730	41	,	,	PUNCT
ejpam-5956	730	42	then	then	ADV
ejpam-5956	730	43	f	f	PROPN
ejpam-5956	730	44	(	(	PUNCT
ejpam-5956	730	45	k	k	PROPN
ejpam-5956	730	46	)	)	PUNCT
ejpam-5956	730	47	⊆	⊆	NUM
ejpam-5956	730	48	f	f	X
ejpam-5956	730	49	(	(	PUNCT
ejpam-5956	730	50	fu(cl∗	fu(cl∗	PROPN
ejpam-5956	730	51	(	(	PUNCT
ejpam-5956	730	52	q	q	NOUN
ejpam-5956	730	53	,	,	PUNCT
ejpam-5956	730	54	⟨ς	⟨ς	NOUN
ejpam-5956	730	55	,	,	PUNCT
ejpam-5956	730	56	κ	κ	NOUN
ejpam-5956	730	57	,	,	PUNCT
ejpam-5956	730	58	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	730	59	)	)	PUNCT
ejpam-5956	730	60	)	)	PUNCT
ejpam-5956	730	61	)	)	PUNCT
ejpam-5956	731	1	⊆	⊆	NUM
ejpam-5956	731	2	cl∗(q	cl∗(q	PROPN
ejpam-5956	731	3	,	,	PUNCT
ejpam-5956	731	4	⟨ς	⟨ς	NOUN
ejpam-5956	731	5	,	,	PUNCT
ejpam-5956	731	6	κ	κ	NOUN
ejpam-5956	731	7	,	,	PUNCT
ejpam-5956	731	8	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	731	9	)	)	PUNCT
ejpam-5956	731	10	.	.	PUNCT
ejpam-5956	732	1	since	since	SCONJ
ejpam-5956	732	2	f	f	PROPN
ejpam-5956	732	3	(	(	PUNCT
ejpam-5956	732	4	k	k	NOUN
ejpam-5956	732	5	)	)	PUNCT
ejpam-5956	732	6	⊆	⊆	NUM
ejpam-5956	732	7	intσ(cl	intσ(cl	PROPN
ejpam-5956	732	8	∗(f	∗(f	NOUN
ejpam-5956	732	9	(	(	PUNCT
ejpam-5956	732	10	k	k	NOUN
ejpam-5956	732	11	)	)	PUNCT
ejpam-5956	732	12	,	,	PUNCT
ejpam-5956	732	13	⟨ς	⟨ς	X
ejpam-5956	732	14	,	,	PUNCT
ejpam-5956	732	15	κ	κ	NOUN
ejpam-5956	732	16	,	,	PUNCT
ejpam-5956	732	17	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	732	18	)	)	PUNCT
ejpam-5956	732	19	,	,	PUNCT
ejpam-5956	732	20	⟨ς	⟨ς	NOUN
ejpam-5956	732	21	,	,	PUNCT
ejpam-5956	732	22	κ	κ	NOUN
ejpam-5956	732	23	,	,	PUNCT
ejpam-5956	732	24	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	732	25	)	)	PUNCT
ejpam-5956	732	26	⊆	⊆	NUM
ejpam-5956	732	27	intσ(cl	intσ(cl	NOUN
ejpam-5956	732	28	∗	∗	NOUN
ejpam-5956	732	29	(	(	PUNCT
ejpam-5956	732	30	q	q	NOUN
ejpam-5956	732	31	,	,	PUNCT
ejpam-5956	732	32	⟨ς	⟨ς	NOUN
ejpam-5956	732	33	,	,	PUNCT
ejpam-5956	732	34	κ	κ	NOUN
ejpam-5956	732	35	,	,	PUNCT
ejpam-5956	732	36	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	732	37	)	)	PUNCT
ejpam-5956	732	38	,	,	PUNCT
ejpam-5956	732	39	⟨ς	⟨ς	NOUN
ejpam-5956	732	40	,	,	PUNCT
ejpam-5956	732	41	κ	κ	NOUN
ejpam-5956	732	42	,	,	PUNCT
ejpam-5956	732	43	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	732	44	)	)	PUNCT
ejpam-5956	732	45	,	,	PUNCT
ejpam-5956	732	46	hence	hence	ADV
ejpam-5956	732	47	k	k	PROPN
ejpam-5956	732	48	⊆	⊆	NUM
ejpam-5956	732	49	fu	fu	NOUN
ejpam-5956	732	50	(	(	PUNCT
ejpam-5956	732	51	f	f	PROPN
ejpam-5956	732	52	(	(	PUNCT
ejpam-5956	732	53	k	k	NOUN
ejpam-5956	732	54	)	)	PUNCT
ejpam-5956	732	55	)	)	PUNCT
ejpam-5956	732	56	⊆	⊆	NUM
ejpam-5956	732	57	fu	fu	NOUN
ejpam-5956	732	58	(	(	PUNCT
ejpam-5956	732	59	intσ(cl	intσ(cl	NOUN
ejpam-5956	732	60	∗	∗	NOUN
ejpam-5956	732	61	(	(	PUNCT
ejpam-5956	732	62	q	q	NOUN
ejpam-5956	732	63	,	,	PUNCT
ejpam-5956	732	64	⟨ς	⟨ς	NOUN
ejpam-5956	732	65	,	,	PUNCT
ejpam-5956	732	66	κ	κ	NOUN
ejpam-5956	732	67	,	,	PUNCT
ejpam-5956	732	68	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	732	69	)	)	PUNCT
ejpam-5956	732	70	,	,	PUNCT
ejpam-5956	732	71	⟨ς	⟨ς	NOUN
ejpam-5956	732	72	,	,	PUNCT
ejpam-5956	732	73	κ	κ	NOUN
ejpam-5956	732	74	,	,	PUNCT
ejpam-5956	732	75	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	732	76	)	)	PUNCT
ejpam-5956	732	77	)	)	PUNCT
ejpam-5956	732	78	.	.	PUNCT
ejpam-5956	733	1	then	then	ADV
ejpam-5956	733	2	,	,	PUNCT
ejpam-5956	733	3	f	f	PROPN
ejpam-5956	733	4	is	be	AUX
ejpam-5956	733	5	pf	pf	PROPN
ejpam-5956	733	6	ua	ua	PROPN
ejpam-5956	733	7	ℓp	ℓp	ADJ
ejpam-5956	733	8	-continuous	-continuous	PROPN
ejpam-5956	733	9	.	.	PUNCT
ejpam-5956	734	1	theorem	theorem	VERB
ejpam-5956	734	2	3.18	3.18	NUM
ejpam-5956	734	3	.	.	PUNCT
ejpam-5956	735	1	let	let	VERB
ejpam-5956	735	2	f	f	NOUN
ejpam-5956	735	3	:	:	PUNCT
ejpam-5956	735	4	(	(	PUNCT
ejpam-5956	735	5	ξ	ξ	X
ejpam-5956	735	6	,	,	PUNCT
ejpam-5956	735	7	τ	τ	X
ejpam-5956	735	8	)	)	PUNCT
ejpam-5956	735	9	↬	↬	PROPN
ejpam-5956	735	10	(	(	PUNCT
ejpam-5956	735	11	υ	υ	PROPN
ejpam-5956	735	12	,	,	PUNCT
ejpam-5956	735	13	σ	σ	PROPN
ejpam-5956	735	14	,	,	PUNCT
ejpam-5956	735	15	ℓp	ℓp	ADJ
ejpam-5956	735	16	)	)	PUNCT
ejpam-5956	735	17	be	be	AUX
ejpam-5956	735	18	a	a	DET
ejpam-5956	735	19	pf	pf	NOUN
ejpam-5956	735	20	lw	lw	NOUN
ejpam-5956	735	21	ℓp	ℓp	ADJ
ejpam-5956	735	22	-continuous	-continuous	PROPN
ejpam-5956	735	23	.	.	PUNCT
ejpam-5956	736	1	then	then	ADV
ejpam-5956	736	2	,	,	PUNCT
ejpam-5956	736	3	fl	fl	PROPN
ejpam-5956	736	4	(	(	PUNCT
ejpam-5956	736	5	q	q	NOUN
ejpam-5956	736	6	)	)	PUNCT
ejpam-5956	736	7	⊆	⊆	NUM
ejpam-5956	736	8	intτ	intτ	ADV
ejpam-5956	736	9	(	(	PUNCT
ejpam-5956	736	10	fl(cl∗	fl(cl∗	X
ejpam-5956	736	11	(	(	PUNCT
ejpam-5956	736	12	q	q	NOUN
ejpam-5956	736	13	,	,	PUNCT
ejpam-5956	736	14	⟨ς	⟨ς	NOUN
ejpam-5956	736	15	,	,	PUNCT
ejpam-5956	736	16	κ	κ	NOUN
ejpam-5956	736	17	,	,	PUNCT
ejpam-5956	736	18	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	736	19	)	)	PUNCT
ejpam-5956	736	20	)	)	PUNCT
ejpam-5956	736	21	,	,	PUNCT
ejpam-5956	736	22	⟨ς	⟨ς	NOUN
ejpam-5956	736	23	,	,	PUNCT
ejpam-5956	736	24	κ	κ	NOUN
ejpam-5956	736	25	,	,	PUNCT
ejpam-5956	736	26	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	736	27	)	)	PUNCT
ejpam-5956	736	28	for	for	ADP
ejpam-5956	736	29	any	any	DET
ejpam-5956	736	30	q	q	NOUN
ejpam-5956	736	31	∈	∈	PROPN
ejpam-5956	736	32	(	(	PUNCT
ejpam-5956	736	33	i3	i3	NOUN
ejpam-5956	736	34	)	)	PUNCT
ejpam-5956	736	35	υ	υ	NOUN
ejpam-5956	736	36	with	with	ADP
ejpam-5956	736	37	q	q	PROPN
ejpam-5956	736	38	⊆	⊆	NUM
ejpam-5956	736	39	intσ(cl	intσ(cl	PROPN
ejpam-5956	736	40	∗	∗	NOUN
ejpam-5956	736	41	(	(	PUNCT
ejpam-5956	736	42	q	q	NOUN
ejpam-5956	736	43	,	,	PUNCT
ejpam-5956	736	44	⟨ς	⟨ς	NOUN
ejpam-5956	736	45	,	,	PUNCT
ejpam-5956	736	46	κ	κ	NOUN
ejpam-5956	736	47	,	,	PUNCT
ejpam-5956	736	48	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	736	49	)	)	PUNCT
ejpam-5956	736	50	,	,	PUNCT
ejpam-5956	736	51	⟨ς	⟨ς	X
ejpam-5956	736	52	,	,	PUNCT
ejpam-5956	736	53	κ	κ	NOUN
ejpam-5956	736	54	,	,	PUNCT
ejpam-5956	736	55	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	736	56	)	)	PUNCT
ejpam-5956	736	57	,	,	PUNCT
ejpam-5956	736	58	ς	ς	PROPN
ejpam-5956	736	59	∈	∈	PROPN
ejpam-5956	736	60	i0,κ	i0,κ	PROPN
ejpam-5956	736	61	∈	∈	PROPN
ejpam-5956	736	62	i1	i1	PROPN
ejpam-5956	736	63	and	and	CCONJ
ejpam-5956	736	64	ϑ	ϑ	PROPN
ejpam-5956	736	65	∈	∈	PROPN
ejpam-5956	736	66	i1	i1	PROPN
ejpam-5956	736	67	.	.	PUNCT
ejpam-5956	737	1	proof	proof	NOUN
ejpam-5956	737	2	.	.	PUNCT
ejpam-5956	738	1	let	let	VERB
ejpam-5956	738	2	f	f	PRON
ejpam-5956	738	3	be	be	AUX
ejpam-5956	738	4	a	a	DET
ejpam-5956	738	5	pf	pf	NOUN
ejpam-5956	738	6	lw	lw	NOUN
ejpam-5956	738	7	ℓp	ℓp	ADJ
ejpam-5956	738	8	-continuous	-continuous	ADJ
ejpam-5956	738	9	and	and	CCONJ
ejpam-5956	738	10	q	q	NOUN
ejpam-5956	738	11	∈	∈	PROPN
ejpam-5956	738	12	(	(	PUNCT
ejpam-5956	738	13	i3	i3	NOUN
ejpam-5956	738	14	)	)	PUNCT
ejpam-5956	738	15	υ	υ	NOUN
ejpam-5956	738	16	with	with	ADP
ejpam-5956	738	17	q	q	PROPN
ejpam-5956	738	18	⊆	⊆	NUM
ejpam-5956	738	19	intσ(cl	intσ(cl	PROPN
ejpam-5956	738	20	∗	∗	NOUN
ejpam-5956	738	21	(	(	PUNCT
ejpam-5956	738	22	q	q	NOUN
ejpam-5956	738	23	,	,	PUNCT
ejpam-5956	738	24	⟨ς	⟨ς	NOUN
ejpam-5956	738	25	,	,	PUNCT
ejpam-5956	738	26	κ	κ	NOUN
ejpam-5956	738	27	,	,	PUNCT
ejpam-5956	738	28	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	738	29	)	)	PUNCT
ejpam-5956	738	30	,	,	PUNCT
ejpam-5956	738	31	⟨ς	⟨ς	X
ejpam-5956	738	32	,	,	PUNCT
ejpam-5956	738	33	κ	κ	NOUN
ejpam-5956	738	34	,	,	PUNCT
ejpam-5956	738	35	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	738	36	)	)	PUNCT
ejpam-5956	738	37	.	.	PUNCT
ejpam-5956	739	1	then	then	ADV
ejpam-5956	739	2	,	,	PUNCT
ejpam-5956	739	3	if	if	SCONJ
ejpam-5956	739	4	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	739	5	,	,	PUNCT
ejpam-5956	739	6	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	739	7	∈	∈	PROPN
ejpam-5956	739	8	fl	fl	PROPN
ejpam-5956	739	9	(	(	PUNCT
ejpam-5956	739	10	q	q	PROPN
ejpam-5956	739	11	)	)	PUNCT
ejpam-5956	739	12	⊆	⊆	NUM
ejpam-5956	739	13	fl(intσ(cl	fl(intσ(cl	NOUN
ejpam-5956	739	14	∗	∗	NOUN
ejpam-5956	739	15	(	(	PUNCT
ejpam-5956	739	16	q	q	NOUN
ejpam-5956	739	17	,	,	PUNCT
ejpam-5956	739	18	⟨ς	⟨ς	NOUN
ejpam-5956	739	19	,	,	PUNCT
ejpam-5956	739	20	κ	κ	NOUN
ejpam-5956	739	21	,	,	PUNCT
ejpam-5956	739	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	739	23	)	)	PUNCT
ejpam-5956	739	24	,	,	PUNCT
ejpam-5956	739	25	⟨ς	⟨ς	X
ejpam-5956	739	26	,	,	PUNCT
ejpam-5956	739	27	κ	κ	NOUN
ejpam-5956	739	28	,	,	PUNCT
ejpam-5956	739	29	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	739	30	)	)	PUNCT
ejpam-5956	739	31	)	)	PUNCT
ejpam-5956	739	32	,	,	PUNCT
ejpam-5956	739	33	there	there	PRON
ejpam-5956	739	34	exists	exist	VERB
ejpam-5956	739	35	k	k	PROPN
ejpam-5956	739	36	∈	∈	PROPN
ejpam-5956	739	37	(	(	PUNCT
ejpam-5956	739	38	i3	i3	NOUN
ejpam-5956	739	39	)	)	PUNCT
ejpam-5956	739	40	ξ	ξ	PROPN
ejpam-5956	739	41	,	,	PUNCT
ejpam-5956	739	42	τ(k	τ(k	PROPN
ejpam-5956	739	43	)	)	PUNCT
ejpam-5956	739	44	≥	≥	NUM
ejpam-5956	739	45	⟨ς	⟨ς	NOUN
ejpam-5956	739	46	,	,	PUNCT
ejpam-5956	739	47	κ	κ	NOUN
ejpam-5956	739	48	,	,	PUNCT
ejpam-5956	739	49	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	739	50	and	and	CCONJ
ejpam-5956	739	51	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	739	52	,	,	PUNCT
ejpam-5956	739	53	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	739	54	∈	∈	PROPN
ejpam-5956	739	55	k	k	PRON
ejpam-5956	739	56	such	such	ADJ
ejpam-5956	739	57	that	that	SCONJ
ejpam-5956	739	58	k	k	PROPN
ejpam-5956	739	59	⊆	⊆	NUM
ejpam-5956	739	60	(	(	PUNCT
ejpam-5956	739	61	fl(cl∗(intσ(cl	fl(cl∗(intσ(cl	NOUN
ejpam-5956	739	62	∗	∗	NOUN
ejpam-5956	739	63	(	(	PUNCT
ejpam-5956	739	64	q	q	NOUN
ejpam-5956	739	65	,	,	PUNCT
ejpam-5956	739	66	⟨ς	⟨ς	NOUN
ejpam-5956	739	67	,	,	PUNCT
ejpam-5956	739	68	κ	κ	NOUN
ejpam-5956	739	69	,	,	PUNCT
ejpam-5956	739	70	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	739	71	)	)	PUNCT
ejpam-5956	739	72	,	,	PUNCT
ejpam-5956	739	73	⟨ς	⟨ς	X
ejpam-5956	739	74	,	,	PUNCT
ejpam-5956	739	75	κ	κ	NOUN
ejpam-5956	739	76	,	,	PUNCT
ejpam-5956	739	77	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	739	78	)	)	PUNCT
ejpam-5956	739	79	,	,	PUNCT
ejpam-5956	739	80	⟨ς	⟨ς	NOUN
ejpam-5956	739	81	,	,	PUNCT
ejpam-5956	739	82	κ	κ	NOUN
ejpam-5956	739	83	,	,	PUNCT
ejpam-5956	739	84	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	739	85	)	)	PUNCT
ejpam-5956	739	86	)	)	PUNCT
ejpam-5956	740	1	⊆	⊆	NUM
ejpam-5956	740	2	fl(cl∗	fl(cl∗	PROPN
ejpam-5956	740	3	(	(	PUNCT
ejpam-5956	740	4	q	q	X
ejpam-5956	740	5	,	,	PUNCT
ejpam-5956	740	6	⟨ς	⟨ς	NOUN
ejpam-5956	740	7	,	,	PUNCT
ejpam-5956	740	8	κ	κ	NOUN
ejpam-5956	740	9	,	,	PUNCT
ejpam-5956	740	10	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	740	11	)	)	PUNCT
ejpam-5956	740	12	)	)	PUNCT
ejpam-5956	740	13	.	.	PUNCT
ejpam-5956	741	1	thus	thus	ADV
ejpam-5956	741	2	,	,	PUNCT
ejpam-5956	741	3	k	k	PROPN
ejpam-5956	741	4	⊆	⊆	NUM
ejpam-5956	741	5	intτ	intτ	ADV
ejpam-5956	741	6	(	(	PUNCT
ejpam-5956	741	7	fl(cl∗	fl(cl∗	X
ejpam-5956	741	8	(	(	PUNCT
ejpam-5956	741	9	q	q	NOUN
ejpam-5956	741	10	,	,	PUNCT
ejpam-5956	741	11	⟨ς	⟨ς	NOUN
ejpam-5956	741	12	,	,	PUNCT
ejpam-5956	741	13	κ	κ	NOUN
ejpam-5956	741	14	,	,	PUNCT
ejpam-5956	741	15	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	741	16	)	)	PUNCT
ejpam-5956	741	17	)	)	PUNCT
ejpam-5956	741	18	,	,	PUNCT
ejpam-5956	741	19	⟨ς	⟨ς	NOUN
ejpam-5956	741	20	,	,	PUNCT
ejpam-5956	741	21	κ	κ	NOUN
ejpam-5956	741	22	,	,	PUNCT
ejpam-5956	741	23	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	741	24	)	)	PUNCT
ejpam-5956	741	25	,	,	PUNCT
ejpam-5956	741	26	and	and	CCONJ
ejpam-5956	741	27	fl	fl	PROPN
ejpam-5956	741	28	(	(	PUNCT
ejpam-5956	741	29	q	q	NOUN
ejpam-5956	741	30	)	)	PUNCT
ejpam-5956	741	31	⊆	⊆	NUM
ejpam-5956	741	32	intτ	intτ	ADV
ejpam-5956	741	33	(	(	PUNCT
ejpam-5956	741	34	fl(cl∗	fl(cl∗	X
ejpam-5956	741	35	(	(	PUNCT
ejpam-5956	741	36	q	q	NOUN
ejpam-5956	741	37	,	,	PUNCT
ejpam-5956	741	38	⟨ς	⟨ς	NOUN
ejpam-5956	741	39	,	,	PUNCT
ejpam-5956	741	40	κ	κ	NOUN
ejpam-5956	741	41	,	,	PUNCT
ejpam-5956	741	42	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	741	43	)	)	PUNCT
ejpam-5956	741	44	)	)	PUNCT
ejpam-5956	741	45	,	,	PUNCT
ejpam-5956	741	46	⟨ς	⟨ς	NOUN
ejpam-5956	741	47	,	,	PUNCT
ejpam-5956	741	48	κ	κ	NOUN
ejpam-5956	741	49	,	,	PUNCT
ejpam-5956	741	50	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	741	51	)	)	PUNCT
ejpam-5956	741	52	.	.	PUNCT
ejpam-5956	742	1	the	the	DET
ejpam-5956	742	2	following	follow	VERB
ejpam-5956	742	3	theorem	theorem	NOUN
ejpam-5956	742	4	is	be	AUX
ejpam-5956	742	5	similarly	similarly	ADV
ejpam-5956	742	6	proved	prove	VERB
ejpam-5956	742	7	as	as	ADP
ejpam-5956	742	8	the	the	DET
ejpam-5956	742	9	proof	proof	NOUN
ejpam-5956	742	10	of	of	ADP
ejpam-5956	742	11	theorem	theorem	ADJ
ejpam-5956	742	12	3.18	3.18	NUM
ejpam-5956	742	13	.	.	PUNCT
ejpam-5956	743	1	theorem	theorem	NOUN
ejpam-5956	743	2	3.19	3.19	NUM
ejpam-5956	743	3	.	.	PUNCT
ejpam-5956	744	1	let	let	VERB
ejpam-5956	744	2	f	f	NOUN
ejpam-5956	744	3	:	:	PUNCT
ejpam-5956	744	4	(	(	PUNCT
ejpam-5956	744	5	ξ	ξ	X
ejpam-5956	744	6	,	,	PUNCT
ejpam-5956	744	7	τ	τ	X
ejpam-5956	744	8	)	)	PUNCT
ejpam-5956	744	9	↬	↬	PROPN
ejpam-5956	744	10	(	(	PUNCT
ejpam-5956	744	11	υ	υ	PROPN
ejpam-5956	744	12	,	,	PUNCT
ejpam-5956	744	13	σ	σ	PROPN
ejpam-5956	744	14	,	,	PUNCT
ejpam-5956	744	15	ℓp	ℓp	ADJ
ejpam-5956	744	16	)	)	PUNCT
ejpam-5956	744	17	be	be	AUX
ejpam-5956	744	18	a	a	DET
ejpam-5956	744	19	normalized	normalize	VERB
ejpam-5956	744	20	pf	pf	PROPN
ejpam-5956	744	21	uw	uw	PROPN
ejpam-5956	744	22	ℓp	ℓp	ADJ
ejpam-5956	744	23	-continuous	-continuous	ADJ
ejpam-5956	744	24	.	.	PUNCT
ejpam-5956	745	1	then	then	ADV
ejpam-5956	745	2	,	,	PUNCT
ejpam-5956	745	3	fu	fu	PROPN
ejpam-5956	745	4	(	(	PUNCT
ejpam-5956	745	5	q	q	NOUN
ejpam-5956	745	6	)	)	PUNCT
ejpam-5956	745	7	⊆	⊆	NUM
ejpam-5956	745	8	intτ	intτ	ADV
ejpam-5956	745	9	(	(	PUNCT
ejpam-5956	745	10	fu(cl∗	fu(cl∗	X
ejpam-5956	745	11	(	(	PUNCT
ejpam-5956	745	12	q	q	NOUN
ejpam-5956	745	13	,	,	PUNCT
ejpam-5956	745	14	⟨ς	⟨ς	NOUN
ejpam-5956	745	15	,	,	PUNCT
ejpam-5956	745	16	κ	κ	NOUN
ejpam-5956	745	17	,	,	PUNCT
ejpam-5956	745	18	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	745	19	)	)	PUNCT
ejpam-5956	745	20	)	)	PUNCT
ejpam-5956	745	21	,	,	PUNCT
ejpam-5956	745	22	⟨ς	⟨ς	NOUN
ejpam-5956	745	23	,	,	PUNCT
ejpam-5956	745	24	κ	κ	NOUN
ejpam-5956	745	25	,	,	PUNCT
ejpam-5956	745	26	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	745	27	)	)	PUNCT
ejpam-5956	745	28	for	for	ADP
ejpam-5956	745	29	any	any	DET
ejpam-5956	745	30	q	q	NOUN
ejpam-5956	745	31	∈	∈	PROPN
ejpam-5956	745	32	(	(	PUNCT
ejpam-5956	745	33	i3	i3	NOUN
ejpam-5956	745	34	)	)	PUNCT
ejpam-5956	745	35	υ	υ	NOUN
ejpam-5956	745	36	with	with	ADP
ejpam-5956	745	37	q	q	PROPN
ejpam-5956	745	38	⊆	⊆	NUM
ejpam-5956	745	39	intσ(cl	intσ(cl	PROPN
ejpam-5956	745	40	∗	∗	NOUN
ejpam-5956	745	41	(	(	PUNCT
ejpam-5956	745	42	q	q	NOUN
ejpam-5956	745	43	,	,	PUNCT
ejpam-5956	745	44	⟨ς	⟨ς	NOUN
ejpam-5956	745	45	,	,	PUNCT
ejpam-5956	745	46	κ	κ	NOUN
ejpam-5956	745	47	,	,	PUNCT
ejpam-5956	745	48	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	745	49	)	)	PUNCT
ejpam-5956	745	50	,	,	PUNCT
ejpam-5956	745	51	⟨ς	⟨ς	X
ejpam-5956	745	52	,	,	PUNCT
ejpam-5956	745	53	κ	κ	NOUN
ejpam-5956	745	54	,	,	PUNCT
ejpam-5956	745	55	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	745	56	)	)	PUNCT
ejpam-5956	745	57	,	,	PUNCT
ejpam-5956	745	58	ς	ς	PROPN
ejpam-5956	745	59	∈	∈	PROPN
ejpam-5956	745	60	i0,κ	i0,κ	PROPN
ejpam-5956	745	61	∈	∈	PROPN
ejpam-5956	745	62	i1	i1	PROPN
ejpam-5956	745	63	and	and	CCONJ
ejpam-5956	745	64	ϑ	ϑ	PROPN
ejpam-5956	745	65	∈	∈	PROPN
ejpam-5956	745	66	i1	i1	PROPN
ejpam-5956	745	67	.	.	PUNCT
ejpam-5956	746	1	theorem	theorem	VERB
ejpam-5956	746	2	3.20	3.20	NUM
ejpam-5956	746	3	.	.	PUNCT
ejpam-5956	747	1	for	for	ADP
ejpam-5956	747	2	a	a	DET
ejpam-5956	747	3	pfm	pfm	NOUN
ejpam-5956	747	4	f	f	NOUN
ejpam-5956	747	5	:	:	PUNCT
ejpam-5956	747	6	(	(	PUNCT
ejpam-5956	747	7	ξ	ξ	X
ejpam-5956	747	8	,	,	PUNCT
ejpam-5956	747	9	τ	τ	X
ejpam-5956	747	10	)	)	PUNCT
ejpam-5956	747	11	↬	↬	PROPN
ejpam-5956	747	12	(	(	PUNCT
ejpam-5956	747	13	υ	υ	PROPN
ejpam-5956	747	14	,	,	PUNCT
ejpam-5956	747	15	σ	σ	PROPN
ejpam-5956	747	16	,	,	PUNCT
ejpam-5956	747	17	ℓp	ℓp	NOUN
ejpam-5956	747	18	)	)	PUNCT
ejpam-5956	747	19	,	,	PUNCT
ejpam-5956	747	20	q	q	PROPN
ejpam-5956	747	21	∈	∈	PROPN
ejpam-5956	747	22	(	(	PUNCT
ejpam-5956	747	23	i3	i3	NOUN
ejpam-5956	747	24	)	)	PUNCT
ejpam-5956	747	25	υ	υ	NOUN
ejpam-5956	747	26	,	,	PUNCT
ejpam-5956	747	27	ς	ς	PROPN
ejpam-5956	747	28	∈	∈	PROPN
ejpam-5956	747	29	i0,κ	i0,κ	PROPN
ejpam-5956	747	30	∈	∈	PROPN
ejpam-5956	747	31	i1	i1	PROPN
ejpam-5956	747	32	and	and	CCONJ
ejpam-5956	747	33	ϑ	ϑ	X
ejpam-5956	747	34	∈	∈	NOUN
ejpam-5956	747	35	i1,the	i1,the	DET
ejpam-5956	747	36	following	follow	VERB
ejpam-5956	747	37	statements	statement	NOUN
ejpam-5956	747	38	are	be	AUX
ejpam-5956	747	39	equivalent	equivalent	ADJ
ejpam-5956	747	40	:	:	PUNCT
ejpam-5956	747	41	(	(	PUNCT
ejpam-5956	747	42	1	1	X
ejpam-5956	747	43	)	)	PUNCT
ejpam-5956	747	44	f	f	PROPN
ejpam-5956	747	45	is	be	AUX
ejpam-5956	747	46	pf	pf	PROPN
ejpam-5956	747	47	law	law	NOUN
ejpam-5956	747	48	ℓp	ℓp	ADJ
ejpam-5956	747	49	-continuous	-continuous	ADJ
ejpam-5956	747	50	.	.	PUNCT
ejpam-5956	748	1	(	(	PUNCT
ejpam-5956	748	2	2	2	X
ejpam-5956	748	3	)	)	PUNCT
ejpam-5956	748	4	fl	fl	PROPN
ejpam-5956	748	5	(	(	PUNCT
ejpam-5956	748	6	q	q	NOUN
ejpam-5956	748	7	)	)	PUNCT
ejpam-5956	748	8	⊆	⊆	NUM
ejpam-5956	748	9	intτ	intτ	ADV
ejpam-5956	748	10	(	(	PUNCT
ejpam-5956	748	11	clτ	clτ	NOUN
ejpam-5956	748	12	(	(	PUNCT
ejpam-5956	748	13	fl(cl∗	fl(cl∗	X
ejpam-5956	748	14	(	(	PUNCT
ejpam-5956	748	15	q	q	NOUN
ejpam-5956	748	16	,	,	PUNCT
ejpam-5956	748	17	⟨ς	⟨ς	NOUN
ejpam-5956	748	18	,	,	PUNCT
ejpam-5956	748	19	κ	κ	NOUN
ejpam-5956	748	20	,	,	PUNCT
ejpam-5956	748	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	748	22	)	)	PUNCT
ejpam-5956	748	23	)	)	PUNCT
ejpam-5956	748	24	,	,	PUNCT
ejpam-5956	748	25	⟨ς	⟨ς	NOUN
ejpam-5956	748	26	,	,	PUNCT
ejpam-5956	748	27	κ	κ	NOUN
ejpam-5956	748	28	,	,	PUNCT
ejpam-5956	748	29	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	748	30	)	)	PUNCT
ejpam-5956	748	31	,	,	PUNCT
ejpam-5956	748	32	⟨ς	⟨ς	NOUN
ejpam-5956	748	33	,	,	PUNCT
ejpam-5956	748	34	κ	κ	NOUN
ejpam-5956	748	35	,	,	PUNCT
ejpam-5956	748	36	ϑ⟩),if	ϑ⟩),if	PROPN
ejpam-5956	748	37	σ	σ	PROPN
ejpam-5956	748	38	(	(	PUNCT
ejpam-5956	748	39	q	q	NOUN
ejpam-5956	748	40	)	)	PUNCT
ejpam-5956	748	41	≥	≥	NOUN
ejpam-5956	748	42	⟨ς	⟨ς	NOUN
ejpam-5956	748	43	,	,	PUNCT
ejpam-5956	748	44	κ	κ	NOUN
ejpam-5956	748	45	,	,	PUNCT
ejpam-5956	748	46	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	748	47	.	.	PUNCT
ejpam-5956	749	1	(	(	PUNCT
ejpam-5956	749	2	3	3	X
ejpam-5956	749	3	)	)	PUNCT
ejpam-5956	749	4	clτ	clτ	NOUN
ejpam-5956	749	5	(	(	PUNCT
ejpam-5956	749	6	intτ	intτ	PROPN
ejpam-5956	749	7	(	(	PUNCT
ejpam-5956	749	8	fu(int∗	fu(int∗	PROPN
ejpam-5956	749	9	(	(	PUNCT
ejpam-5956	749	10	q	q	PROPN
ejpam-5956	749	11	,	,	PUNCT
ejpam-5956	749	12	⟨ς	⟨ς	NOUN
ejpam-5956	749	13	,	,	PUNCT
ejpam-5956	749	14	κ	κ	NOUN
ejpam-5956	749	15	,	,	PUNCT
ejpam-5956	749	16	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	749	17	)	)	PUNCT
ejpam-5956	749	18	)	)	PUNCT
ejpam-5956	749	19	,	,	PUNCT
ejpam-5956	749	20	⟨ς	⟨ς	NOUN
ejpam-5956	749	21	,	,	PUNCT
ejpam-5956	749	22	κ	κ	NOUN
ejpam-5956	749	23	,	,	PUNCT
ejpam-5956	749	24	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	749	25	)	)	PUNCT
ejpam-5956	749	26	,	,	PUNCT
ejpam-5956	749	27	⟨ς	⟨ς	NOUN
ejpam-5956	749	28	,	,	PUNCT
ejpam-5956	749	29	κ	κ	NOUN
ejpam-5956	749	30	,	,	PUNCT
ejpam-5956	749	31	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	749	32	)	)	PUNCT
ejpam-5956	749	33	⊆	⊆	NUM
ejpam-5956	749	34	fu	fu	NOUN
ejpam-5956	749	35	(	(	PUNCT
ejpam-5956	749	36	q	q	NOUN
ejpam-5956	749	37	)	)	PUNCT
ejpam-5956	749	38	,	,	PUNCT
ejpam-5956	749	39	if	if	SCONJ
ejpam-5956	749	40	σ(ⅎ	σ(ⅎ	PROPN
ejpam-5956	749	41	q	q	X
ejpam-5956	749	42	)	)	PUNCT
ejpam-5956	749	43	≥	≥	NOUN
ejpam-5956	749	44	⟨ς	⟨ς	NOUN
ejpam-5956	749	45	,	,	PUNCT
ejpam-5956	749	46	κ	κ	NOUN
ejpam-5956	749	47	,	,	PUNCT
ejpam-5956	749	48	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	749	49	.	.	PUNCT
ejpam-5956	750	1	proof	proof	NOUN
ejpam-5956	750	2	.	.	PUNCT
ejpam-5956	751	1	(	(	PUNCT
ejpam-5956	751	2	1	1	X
ejpam-5956	751	3	)	)	PUNCT
ejpam-5956	751	4	=	=	NOUN
ejpam-5956	751	5	⇒	⇒	NOUN
ejpam-5956	751	6	(	(	PUNCT
ejpam-5956	751	7	2	2	X
ejpam-5956	751	8	)	)	PUNCT
ejpam-5956	751	9	let	let	VERB
ejpam-5956	751	10	ξ⟨ς	ξ⟨ς	NUM
ejpam-5956	751	11	,	,	PUNCT
ejpam-5956	751	12	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	751	13	∈	∈	PROPN
ejpam-5956	752	1	d	d	X
ejpam-5956	752	2	(	(	PUNCT
ejpam-5956	752	3	f	f	PROPN
ejpam-5956	752	4	)	)	PUNCT
ejpam-5956	752	5	,	,	PUNCT
ejpam-5956	752	6	q	q	PROPN
ejpam-5956	752	7	∈	∈	PROPN
ejpam-5956	752	8	(	(	PUNCT
ejpam-5956	752	9	i3	i3	NOUN
ejpam-5956	752	10	)	)	PUNCT
ejpam-5956	752	11	υ	υ	PROPN
ejpam-5956	752	12	,	,	PUNCT
ejpam-5956	752	13	σ	σ	PROPN
ejpam-5956	752	14	(	(	PUNCT
ejpam-5956	752	15	q	q	PROPN
ejpam-5956	752	16	)	)	PUNCT
ejpam-5956	752	17	≥	≥	NOUN
ejpam-5956	752	18	⟨ς	⟨ς	NOUN
ejpam-5956	752	19	,	,	PUNCT
ejpam-5956	752	20	κ	κ	NOUN
ejpam-5956	752	21	,	,	PUNCT
ejpam-5956	752	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	752	23	and	and	CCONJ
ejpam-5956	752	24	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	752	25	,	,	PUNCT
ejpam-5956	752	26	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	752	27	∈	∈	PROPN
ejpam-5956	752	28	fl	fl	PROPN
ejpam-5956	752	29	(	(	PUNCT
ejpam-5956	752	30	q	q	PROPN
ejpam-5956	752	31	)	)	PUNCT
ejpam-5956	752	32	.	.	PUNCT
ejpam-5956	753	1	then	then	ADV
ejpam-5956	753	2	,	,	PUNCT
ejpam-5956	753	3	there	there	PRON
ejpam-5956	753	4	exists	exist	VERB
ejpam-5956	753	5	k	k	PROPN
ejpam-5956	753	6	∈	∈	PROPN
ejpam-5956	753	7	(	(	PUNCT
ejpam-5956	753	8	i3	i3	NOUN
ejpam-5956	753	9	)	)	PUNCT
ejpam-5956	753	10	ξ	ξ	PROPN
ejpam-5956	753	11	,	,	PUNCT
ejpam-5956	753	12	τ(k	τ(k	PROPN
ejpam-5956	753	13	)	)	PUNCT
ejpam-5956	753	14	≥	≥	NUM
ejpam-5956	753	15	⟨ς	⟨ς	NOUN
ejpam-5956	753	16	,	,	PUNCT
ejpam-5956	753	17	κ	κ	NOUN
ejpam-5956	753	18	,	,	PUNCT
ejpam-5956	753	19	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	753	20	and	and	CCONJ
ejpam-5956	753	21	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	753	22	,	,	PUNCT
ejpam-5956	753	23	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	753	24	∈	∈	PROPN
ejpam-5956	753	25	k	k	PRON
ejpam-5956	753	26	such	such	ADJ
ejpam-5956	753	27	that	that	SCONJ
ejpam-5956	753	28	k	k	PROPN
ejpam-5956	753	29	⊆	⊆	NUM
ejpam-5956	753	30	clτ	clτ	NOUN
ejpam-5956	753	31	(	(	PUNCT
ejpam-5956	753	32	fl(cl∗	fl(cl∗	X
ejpam-5956	753	33	(	(	PUNCT
ejpam-5956	753	34	q	q	NOUN
ejpam-5956	753	35	,	,	PUNCT
ejpam-5956	753	36	⟨ς	⟨ς	NOUN
ejpam-5956	753	37	,	,	PUNCT
ejpam-5956	753	38	κ	κ	NOUN
ejpam-5956	753	39	,	,	PUNCT
ejpam-5956	753	40	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	753	41	)	)	PUNCT
ejpam-5956	753	42	)	)	PUNCT
ejpam-5956	753	43	,	,	PUNCT
ejpam-5956	753	44	⟨ς	⟨ς	NOUN
ejpam-5956	753	45	,	,	PUNCT
ejpam-5956	753	46	κ	κ	NOUN
ejpam-5956	753	47	,	,	PUNCT
ejpam-5956	753	48	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	753	49	)	)	PUNCT
ejpam-5956	753	50	.	.	PUNCT
ejpam-5956	754	1	thus	thus	ADV
ejpam-5956	754	2	,	,	PUNCT
ejpam-5956	754	3	dali	dali	PROPN
ejpam-5956	754	4	shi	shi	PROPN
ejpam-5956	754	5	et	et	PROPN
ejpam-5956	754	6	al	al	PROPN
ejpam-5956	754	7	.	.	PUNCT
ejpam-5956	754	8	/	/	SYM
ejpam-5956	754	9	eur	eur	PROPN
ejpam-5956	754	10	.	.	PUNCT
ejpam-5956	755	1	j.	j.	PROPN
ejpam-5956	755	2	pure	pure	PROPN
ejpam-5956	755	3	appl	appl	PROPN
ejpam-5956	755	4	.	.	PROPN
ejpam-5956	755	5	math	math	PROPN
ejpam-5956	755	6	,	,	PUNCT
ejpam-5956	755	7	18	18	NUM
ejpam-5956	755	8	(	(	PUNCT
ejpam-5956	755	9	2	2	NUM
ejpam-5956	755	10	)	)	PUNCT
ejpam-5956	755	11	(	(	PUNCT
ejpam-5956	755	12	2025	2025	NUM
ejpam-5956	755	13	)	)	PUNCT
ejpam-5956	755	14	,	,	PUNCT
ejpam-5956	755	15	5956	5956	NUM
ejpam-5956	755	16	26	26	NUM
ejpam-5956	755	17	of	of	ADP
ejpam-5956	756	1	30	30	NUM
ejpam-5956	756	2	ξt	ξt	NOUN
ejpam-5956	756	3	∈	∈	NOUN
ejpam-5956	756	4	k	k	NOUN
ejpam-5956	756	5	⊆	⊆	NUM
ejpam-5956	756	6	intτ	intτ	ADV
ejpam-5956	756	7	(	(	PUNCT
ejpam-5956	756	8	clτ	clτ	NOUN
ejpam-5956	756	9	(	(	PUNCT
ejpam-5956	756	10	fl(cl∗	fl(cl∗	X
ejpam-5956	756	11	(	(	PUNCT
ejpam-5956	756	12	q	q	NOUN
ejpam-5956	756	13	,	,	PUNCT
ejpam-5956	756	14	⟨ς	⟨ς	NOUN
ejpam-5956	756	15	,	,	PUNCT
ejpam-5956	756	16	κ	κ	NOUN
ejpam-5956	756	17	,	,	PUNCT
ejpam-5956	756	18	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	756	19	)	)	PUNCT
ejpam-5956	756	20	)	)	PUNCT
ejpam-5956	756	21	,	,	PUNCT
ejpam-5956	756	22	⟨ς	⟨ς	NOUN
ejpam-5956	756	23	,	,	PUNCT
ejpam-5956	756	24	κ	κ	NOUN
ejpam-5956	756	25	,	,	PUNCT
ejpam-5956	756	26	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	756	27	)	)	PUNCT
ejpam-5956	756	28	,	,	PUNCT
ejpam-5956	756	29	⟨ς	⟨ς	NOUN
ejpam-5956	756	30	,	,	PUNCT
ejpam-5956	756	31	κ	κ	NOUN
ejpam-5956	756	32	,	,	PUNCT
ejpam-5956	756	33	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	756	34	)	)	PUNCT
ejpam-5956	756	35	,	,	PUNCT
ejpam-5956	756	36	and	and	CCONJ
ejpam-5956	756	37	hence	hence	ADV
ejpam-5956	756	38	fl	fl	PROPN
ejpam-5956	756	39	(	(	PUNCT
ejpam-5956	756	40	q	q	X
ejpam-5956	756	41	)	)	PUNCT
ejpam-5956	756	42	⊆	⊆	NUM
ejpam-5956	756	43	intτ	intτ	ADV
ejpam-5956	756	44	(	(	PUNCT
ejpam-5956	756	45	clτ	clτ	NOUN
ejpam-5956	756	46	(	(	PUNCT
ejpam-5956	756	47	fl(cl∗	fl(cl∗	X
ejpam-5956	756	48	(	(	PUNCT
ejpam-5956	756	49	q	q	NOUN
ejpam-5956	756	50	,	,	PUNCT
ejpam-5956	756	51	⟨ς	⟨ς	NOUN
ejpam-5956	756	52	,	,	PUNCT
ejpam-5956	756	53	κ	κ	NOUN
ejpam-5956	756	54	,	,	PUNCT
ejpam-5956	756	55	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	756	56	)	)	PUNCT
ejpam-5956	756	57	)	)	PUNCT
ejpam-5956	756	58	,	,	PUNCT
ejpam-5956	756	59	⟨ς	⟨ς	NOUN
ejpam-5956	756	60	,	,	PUNCT
ejpam-5956	756	61	κ	κ	NOUN
ejpam-5956	756	62	,	,	PUNCT
ejpam-5956	756	63	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	756	64	)	)	PUNCT
ejpam-5956	756	65	,	,	PUNCT
ejpam-5956	756	66	⟨ς	⟨ς	NOUN
ejpam-5956	756	67	,	,	PUNCT
ejpam-5956	756	68	κ	κ	NOUN
ejpam-5956	756	69	,	,	PUNCT
ejpam-5956	756	70	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	756	71	)	)	PUNCT
ejpam-5956	756	72	.	.	PUNCT
ejpam-5956	757	1	(	(	PUNCT
ejpam-5956	757	2	2	2	X
ejpam-5956	757	3	)	)	PUNCT
ejpam-5956	757	4	=	=	NOUN
ejpam-5956	757	5	⇒	⇒	NOUN
ejpam-5956	757	6	(	(	PUNCT
ejpam-5956	757	7	3	3	X
ejpam-5956	757	8	)	)	PUNCT
ejpam-5956	757	9	let	let	VERB
ejpam-5956	757	10	q	q	PROPN
ejpam-5956	757	11	∈	∈	PROPN
ejpam-5956	757	12	(	(	PUNCT
ejpam-5956	757	13	i3	i3	NOUN
ejpam-5956	757	14	)	)	PUNCT
ejpam-5956	757	15	υ	υ	NOUN
ejpam-5956	757	16	with	with	ADP
ejpam-5956	757	17	σ(ⅎ	σ(ⅎ	PROPN
ejpam-5956	757	18	q	q	PROPN
ejpam-5956	757	19	)	)	PUNCT
ejpam-5956	757	20	≥	≥	NOUN
ejpam-5956	757	21	⟨ς	⟨ς	NOUN
ejpam-5956	757	22	,	,	PUNCT
ejpam-5956	757	23	κ	κ	NOUN
ejpam-5956	757	24	,	,	PUNCT
ejpam-5956	757	25	ϑ⟩.	ϑ⟩.	VERB
ejpam-5956	757	26	then	then	ADV
ejpam-5956	757	27	,	,	PUNCT
ejpam-5956	757	28	by	by	ADP
ejpam-5956	757	29	(	(	PUNCT
ejpam-5956	757	30	2	2	X
ejpam-5956	757	31	)	)	PUNCT
ejpam-5956	757	32	ⅎ	ⅎ	PROPN
ejpam-5956	757	33	fu	fu	NOUN
ejpam-5956	757	34	(	(	PUNCT
ejpam-5956	757	35	q	q	X
ejpam-5956	757	36	)	)	PUNCT
ejpam-5956	757	37	=	=	SYM
ejpam-5956	757	38	fl(ⅎ	fl(ⅎ	X
ejpam-5956	757	39	q	q	X
ejpam-5956	757	40	)	)	PUNCT
ejpam-5956	757	41	⊆	⊆	NUM
ejpam-5956	757	42	intτ	intτ	ADV
ejpam-5956	757	43	(	(	PUNCT
ejpam-5956	757	44	clτ	clτ	NOUN
ejpam-5956	757	45	(	(	PUNCT
ejpam-5956	757	46	fl(cl∗	fl(cl∗	PROPN
ejpam-5956	757	47	(	(	PUNCT
ejpam-5956	757	48	ⅎ	ⅎ	X
ejpam-5956	757	49	q	q	NOUN
ejpam-5956	757	50	,	,	PUNCT
ejpam-5956	757	51	⟨ς	⟨ς	NOUN
ejpam-5956	757	52	,	,	PUNCT
ejpam-5956	757	53	κ	κ	NOUN
ejpam-5956	757	54	,	,	PUNCT
ejpam-5956	757	55	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	757	56	)	)	PUNCT
ejpam-5956	757	57	)	)	PUNCT
ejpam-5956	757	58	,	,	PUNCT
ejpam-5956	757	59	⟨ς	⟨ς	NOUN
ejpam-5956	757	60	,	,	PUNCT
ejpam-5956	757	61	κ	κ	NOUN
ejpam-5956	757	62	,	,	PUNCT
ejpam-5956	757	63	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	757	64	)	)	PUNCT
ejpam-5956	757	65	,	,	PUNCT
ejpam-5956	757	66	⟨ς	⟨ς	NOUN
ejpam-5956	757	67	,	,	PUNCT
ejpam-5956	757	68	κ	κ	NOUN
ejpam-5956	757	69	,	,	PUNCT
ejpam-5956	757	70	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	757	71	)	)	PUNCT
ejpam-5956	757	72	=	=	PRON
ejpam-5956	757	73	ⅎclτ	ⅎclτ	NOUN
ejpam-5956	757	74	(	(	PUNCT
ejpam-5956	757	75	intτ	intτ	ADV
ejpam-5956	757	76	(	(	PUNCT
ejpam-5956	757	77	fu(int∗	fu(int∗	PROPN
ejpam-5956	757	78	(	(	PUNCT
ejpam-5956	757	79	q	q	PROPN
ejpam-5956	757	80	,	,	PUNCT
ejpam-5956	757	81	⟨ς	⟨ς	NOUN
ejpam-5956	757	82	,	,	PUNCT
ejpam-5956	757	83	κ	κ	NOUN
ejpam-5956	757	84	,	,	PUNCT
ejpam-5956	757	85	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	757	86	)	)	PUNCT
ejpam-5956	757	87	)	)	PUNCT
ejpam-5956	757	88	,	,	PUNCT
ejpam-5956	757	89	⟨ς	⟨ς	NOUN
ejpam-5956	757	90	,	,	PUNCT
ejpam-5956	757	91	κ	κ	NOUN
ejpam-5956	757	92	,	,	PUNCT
ejpam-5956	757	93	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	757	94	)	)	PUNCT
ejpam-5956	757	95	,	,	PUNCT
ejpam-5956	757	96	⟨ς	⟨ς	NOUN
ejpam-5956	757	97	,	,	PUNCT
ejpam-5956	757	98	κ	κ	NOUN
ejpam-5956	757	99	,	,	PUNCT
ejpam-5956	757	100	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	757	101	,	,	PUNCT
ejpam-5956	757	102	thus	thus	ADV
ejpam-5956	757	103	,	,	PUNCT
ejpam-5956	757	104	clτ	clτ	NOUN
ejpam-5956	757	105	(	(	PUNCT
ejpam-5956	757	106	intτ	intτ	PROPN
ejpam-5956	757	107	(	(	PUNCT
ejpam-5956	757	108	fu(int∗	fu(int∗	PROPN
ejpam-5956	757	109	(	(	PUNCT
ejpam-5956	757	110	q	q	PROPN
ejpam-5956	757	111	,	,	PUNCT
ejpam-5956	757	112	⟨ς	⟨ς	NOUN
ejpam-5956	757	113	,	,	PUNCT
ejpam-5956	757	114	κ	κ	NOUN
ejpam-5956	757	115	,	,	PUNCT
ejpam-5956	757	116	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	757	117	)	)	PUNCT
ejpam-5956	757	118	)	)	PUNCT
ejpam-5956	757	119	,	,	PUNCT
ejpam-5956	757	120	⟨ς	⟨ς	NOUN
ejpam-5956	757	121	,	,	PUNCT
ejpam-5956	757	122	κ	κ	NOUN
ejpam-5956	757	123	,	,	PUNCT
ejpam-5956	757	124	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	757	125	)	)	PUNCT
ejpam-5956	757	126	,	,	PUNCT
ejpam-5956	757	127	⟨ς	⟨ς	NOUN
ejpam-5956	757	128	,	,	PUNCT
ejpam-5956	757	129	κ	κ	NOUN
ejpam-5956	757	130	,	,	PUNCT
ejpam-5956	757	131	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	757	132	⊆	⊆	NUM
ejpam-5956	757	133	fu	fu	NOUN
ejpam-5956	757	134	(	(	PUNCT
ejpam-5956	757	135	q	q	NOUN
ejpam-5956	757	136	)	)	PUNCT
ejpam-5956	757	137	.	.	PUNCT
ejpam-5956	758	1	(	(	PUNCT
ejpam-5956	758	2	3	3	X
ejpam-5956	758	3	)	)	PUNCT
ejpam-5956	758	4	=	=	NOUN
ejpam-5956	758	5	⇒	⇒	NOUN
ejpam-5956	758	6	(	(	PUNCT
ejpam-5956	758	7	1	1	X
ejpam-5956	758	8	)	)	PUNCT
ejpam-5956	758	9	let	let	VERB
ejpam-5956	758	10	ξ⟨ς	ξ⟨ς	NUM
ejpam-5956	758	11	,	,	PUNCT
ejpam-5956	758	12	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	758	13	∈	∈	PROPN
ejpam-5956	759	1	d	d	X
ejpam-5956	759	2	(	(	PUNCT
ejpam-5956	759	3	f	f	PROPN
ejpam-5956	759	4	)	)	PUNCT
ejpam-5956	759	5	,	,	PUNCT
ejpam-5956	759	6	q	q	PROPN
ejpam-5956	759	7	∈	∈	PROPN
ejpam-5956	759	8	(	(	PUNCT
ejpam-5956	759	9	i3	i3	NOUN
ejpam-5956	759	10	)	)	PUNCT
ejpam-5956	759	11	υ	υ	PROPN
ejpam-5956	759	12	,	,	PUNCT
ejpam-5956	759	13	σ	σ	PROPN
ejpam-5956	759	14	(	(	PUNCT
ejpam-5956	759	15	q	q	NOUN
ejpam-5956	759	16	)	)	PUNCT
ejpam-5956	759	17	≥	≥	NOUN
ejpam-5956	759	18	⟨ς	⟨ς	NOUN
ejpam-5956	759	19	,	,	PUNCT
ejpam-5956	759	20	κ	κ	NOUN
ejpam-5956	759	21	,	,	PUNCT
ejpam-5956	759	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	759	23	and	and	CCONJ
ejpam-5956	759	24	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	759	25	,	,	PUNCT
ejpam-5956	759	26	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	759	27	∈	∈	PROPN
ejpam-5956	759	28	fl	fl	PROPN
ejpam-5956	759	29	(	(	PUNCT
ejpam-5956	759	30	q	q	PROPN
ejpam-5956	759	31	)	)	PUNCT
ejpam-5956	759	32	.	.	PUNCT
ejpam-5956	760	1	then	then	ADV
ejpam-5956	760	2	,	,	PUNCT
ejpam-5956	760	3	by	by	ADP
ejpam-5956	760	4	(	(	PUNCT
ejpam-5956	760	5	3	3	NUM
ejpam-5956	760	6	)	)	PUNCT
ejpam-5956	760	7	,	,	PUNCT
ejpam-5956	760	8	we	we	PRON
ejpam-5956	760	9	have	have	VERB
ejpam-5956	760	10	ⅎintτ	ⅎintτ	NOUN
ejpam-5956	760	11	(	(	PUNCT
ejpam-5956	760	12	clτ	clτ	NOUN
ejpam-5956	760	13	(	(	PUNCT
ejpam-5956	760	14	fl(cl∗	fl(cl∗	X
ejpam-5956	760	15	(	(	PUNCT
ejpam-5956	760	16	q	q	NOUN
ejpam-5956	760	17	,	,	PUNCT
ejpam-5956	760	18	⟨ς	⟨ς	NOUN
ejpam-5956	760	19	,	,	PUNCT
ejpam-5956	760	20	κ	κ	NOUN
ejpam-5956	760	21	,	,	PUNCT
ejpam-5956	760	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	760	23	)	)	PUNCT
ejpam-5956	760	24	)	)	PUNCT
ejpam-5956	760	25	,	,	PUNCT
ejpam-5956	760	26	⟨ς	⟨ς	NOUN
ejpam-5956	760	27	,	,	PUNCT
ejpam-5956	760	28	κ	κ	NOUN
ejpam-5956	760	29	,	,	PUNCT
ejpam-5956	760	30	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	760	31	)	)	PUNCT
ejpam-5956	760	32	,	,	PUNCT
ejpam-5956	760	33	⟨ς	⟨ς	NOUN
ejpam-5956	760	34	,	,	PUNCT
ejpam-5956	760	35	κ	κ	NOUN
ejpam-5956	760	36	,	,	PUNCT
ejpam-5956	760	37	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	760	38	)	)	PUNCT
ejpam-5956	760	39	=	=	SYM
ejpam-5956	760	40	clτ	clτ	NOUN
ejpam-5956	760	41	(	(	PUNCT
ejpam-5956	760	42	intτ	intτ	PROPN
ejpam-5956	760	43	(	(	PUNCT
ejpam-5956	760	44	fu(int∗	fu(int∗	X
ejpam-5956	760	45	(	(	PUNCT
ejpam-5956	760	46	ⅎ	ⅎ	PROPN
ejpam-5956	760	47	q	q	NOUN
ejpam-5956	760	48	,	,	PUNCT
ejpam-5956	760	49	⟨ς	⟨ς	NOUN
ejpam-5956	760	50	,	,	PUNCT
ejpam-5956	760	51	κ	κ	NOUN
ejpam-5956	760	52	,	,	PUNCT
ejpam-5956	760	53	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	760	54	)	)	PUNCT
ejpam-5956	760	55	)	)	PUNCT
ejpam-5956	760	56	,	,	PUNCT
ejpam-5956	760	57	⟨ς	⟨ς	NOUN
ejpam-5956	760	58	,	,	PUNCT
ejpam-5956	760	59	κ	κ	NOUN
ejpam-5956	760	60	,	,	PUNCT
ejpam-5956	760	61	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	760	62	)	)	PUNCT
ejpam-5956	760	63	,	,	PUNCT
ejpam-5956	760	64	⟨ς	⟨ς	NOUN
ejpam-5956	760	65	,	,	PUNCT
ejpam-5956	760	66	κ	κ	NOUN
ejpam-5956	760	67	,	,	PUNCT
ejpam-5956	760	68	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	760	69	⊆	⊆	NUM
ejpam-5956	760	70	fu	fu	NOUN
ejpam-5956	760	71	(	(	PUNCT
ejpam-5956	760	72	ⅎ	ⅎ	X
ejpam-5956	760	73	q	q	NOUN
ejpam-5956	760	74	)	)	PUNCT
ejpam-5956	760	75	=	=	SYM
ejpam-5956	760	76	ⅎ	ⅎ	PROPN
ejpam-5956	760	77	fl	fl	INTJ
ejpam-5956	760	78	(	(	PUNCT
ejpam-5956	760	79	q	q	NOUN
ejpam-5956	760	80	)	)	PUNCT
ejpam-5956	760	81	,	,	PUNCT
ejpam-5956	760	82	and	and	CCONJ
ejpam-5956	760	83	hence	hence	ADV
ejpam-5956	760	84	fl	fl	PROPN
ejpam-5956	760	85	(	(	PUNCT
ejpam-5956	760	86	q	q	NOUN
ejpam-5956	760	87	)	)	PUNCT
ejpam-5956	760	88	⊆	⊆	NUM
ejpam-5956	760	89	intτ	intτ	ADV
ejpam-5956	760	90	(	(	PUNCT
ejpam-5956	760	91	clτ	clτ	NOUN
ejpam-5956	760	92	(	(	PUNCT
ejpam-5956	760	93	fl(cl∗	fl(cl∗	X
ejpam-5956	760	94	(	(	PUNCT
ejpam-5956	760	95	q	q	NOUN
ejpam-5956	760	96	,	,	PUNCT
ejpam-5956	760	97	⟨ς	⟨ς	NOUN
ejpam-5956	760	98	,	,	PUNCT
ejpam-5956	760	99	κ	κ	NOUN
ejpam-5956	760	100	,	,	PUNCT
ejpam-5956	760	101	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	760	102	)	)	PUNCT
ejpam-5956	760	103	)	)	PUNCT
ejpam-5956	760	104	,	,	PUNCT
ejpam-5956	760	105	⟨ς	⟨ς	NOUN
ejpam-5956	760	106	,	,	PUNCT
ejpam-5956	760	107	κ	κ	NOUN
ejpam-5956	760	108	,	,	PUNCT
ejpam-5956	760	109	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	760	110	)	)	PUNCT
ejpam-5956	760	111	,	,	PUNCT
ejpam-5956	760	112	⟨ς	⟨ς	NOUN
ejpam-5956	760	113	,	,	PUNCT
ejpam-5956	760	114	κ	κ	NOUN
ejpam-5956	760	115	,	,	PUNCT
ejpam-5956	760	116	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	760	117	)	)	PUNCT
ejpam-5956	760	118	.	.	PUNCT
ejpam-5956	761	1	therefore	therefore	ADV
ejpam-5956	761	2	,	,	PUNCT
ejpam-5956	761	3	ξ⟨ς	ξ⟨ς	PROPN
ejpam-5956	761	4	,	,	PUNCT
ejpam-5956	761	5	κ,ϑ⟩	κ,ϑ⟩	ADV
ejpam-5956	761	6	∈	∈	NOUN
ejpam-5956	761	7	intτ	intτ	ADV
ejpam-5956	761	8	(	(	PUNCT
ejpam-5956	761	9	clτ	clτ	NOUN
ejpam-5956	761	10	(	(	PUNCT
ejpam-5956	761	11	fl(cl∗	fl(cl∗	X
ejpam-5956	761	12	(	(	PUNCT
ejpam-5956	761	13	q	q	NOUN
ejpam-5956	761	14	,	,	PUNCT
ejpam-5956	761	15	⟨ς	⟨ς	NOUN
ejpam-5956	761	16	,	,	PUNCT
ejpam-5956	761	17	κ	κ	NOUN
ejpam-5956	761	18	,	,	PUNCT
ejpam-5956	761	19	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	761	20	)	)	PUNCT
ejpam-5956	761	21	)	)	PUNCT
ejpam-5956	761	22	,	,	PUNCT
ejpam-5956	761	23	⟨ς	⟨ς	NOUN
ejpam-5956	761	24	,	,	PUNCT
ejpam-5956	761	25	κ	κ	NOUN
ejpam-5956	761	26	,	,	PUNCT
ejpam-5956	761	27	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	761	28	)	)	PUNCT
ejpam-5956	761	29	,	,	PUNCT
ejpam-5956	761	30	⟨ς	⟨ς	NOUN
ejpam-5956	761	31	,	,	PUNCT
ejpam-5956	761	32	κ	κ	NOUN
ejpam-5956	761	33	,	,	PUNCT
ejpam-5956	761	34	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	761	35	)	)	PUNCT
ejpam-5956	761	36	⊆	⊆	NUM
ejpam-5956	761	37	clτ	clτ	NOUN
ejpam-5956	761	38	(	(	PUNCT
ejpam-5956	761	39	fl(cl∗	fl(cl∗	X
ejpam-5956	761	40	(	(	PUNCT
ejpam-5956	761	41	q	q	NOUN
ejpam-5956	761	42	,	,	PUNCT
ejpam-5956	761	43	⟨ς	⟨ς	NOUN
ejpam-5956	761	44	,	,	PUNCT
ejpam-5956	761	45	κ	κ	NOUN
ejpam-5956	761	46	,	,	PUNCT
ejpam-5956	761	47	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	761	48	)	)	PUNCT
ejpam-5956	761	49	)	)	PUNCT
ejpam-5956	761	50	,	,	PUNCT
ejpam-5956	761	51	⟨ς	⟨ς	NOUN
ejpam-5956	761	52	,	,	PUNCT
ejpam-5956	761	53	κ	κ	NOUN
ejpam-5956	761	54	,	,	PUNCT
ejpam-5956	761	55	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	761	56	)	)	PUNCT
ejpam-5956	761	57	.	.	PUNCT
ejpam-5956	762	1	thus	thus	ADV
ejpam-5956	762	2	,	,	PUNCT
ejpam-5956	762	3	f	f	PROPN
ejpam-5956	762	4	is	be	AUX
ejpam-5956	762	5	pf	pf	PROPN
ejpam-5956	762	6	lawℓp	lawℓp	ADJ
ejpam-5956	762	7	-continuous	-continuous	ADJ
ejpam-5956	762	8	.	.	PUNCT
ejpam-5956	763	1	the	the	DET
ejpam-5956	763	2	following	follow	VERB
ejpam-5956	763	3	theorem	theorem	NOUN
ejpam-5956	763	4	is	be	AUX
ejpam-5956	763	5	similarly	similarly	ADV
ejpam-5956	763	6	proved	prove	VERB
ejpam-5956	763	7	as	as	ADP
ejpam-5956	763	8	the	the	DET
ejpam-5956	763	9	proof	proof	NOUN
ejpam-5956	763	10	of	of	ADP
ejpam-5956	763	11	theorem	theorem	ADJ
ejpam-5956	763	12	3.20	3.20	NUM
ejpam-5956	763	13	.	.	PUNCT
ejpam-5956	764	1	theorem	theorem	VERB
ejpam-5956	764	2	3.21	3.21	NUM
ejpam-5956	764	3	.	.	PUNCT
ejpam-5956	765	1	for	for	ADP
ejpam-5956	765	2	a	a	DET
ejpam-5956	765	3	normalized	normalize	VERB
ejpam-5956	765	4	pfm	pfm	NOUN
ejpam-5956	765	5	f	f	NOUN
ejpam-5956	765	6	:	:	PUNCT
ejpam-5956	765	7	(	(	PUNCT
ejpam-5956	765	8	ξ	ξ	X
ejpam-5956	765	9	,	,	PUNCT
ejpam-5956	765	10	τ	τ	X
ejpam-5956	765	11	)	)	PUNCT
ejpam-5956	765	12	↬	↬	PROPN
ejpam-5956	765	13	(	(	PUNCT
ejpam-5956	765	14	υ	υ	PROPN
ejpam-5956	765	15	,	,	PUNCT
ejpam-5956	765	16	σ	σ	PROPN
ejpam-5956	765	17	,	,	PUNCT
ejpam-5956	765	18	ℓp	ℓp	ADJ
ejpam-5956	765	19	)	)	PUNCT
ejpam-5956	765	20	,	,	PUNCT
ejpam-5956	765	21	q∈	q∈	PROPN
ejpam-5956	765	22	(	(	PUNCT
ejpam-5956	765	23	i3	i3	NOUN
ejpam-5956	765	24	)	)	PUNCT
ejpam-5956	765	25	υ	υ	NOUN
ejpam-5956	765	26	,	,	PUNCT
ejpam-5956	765	27	ς	ς	PROPN
ejpam-5956	765	28	∈	∈	PROPN
ejpam-5956	765	29	i0,κ	i0,κ	PROPN
ejpam-5956	765	30	∈	∈	PROPN
ejpam-5956	765	31	i1	i1	PROPN
ejpam-5956	765	32	and	and	CCONJ
ejpam-5956	765	33	ϑ	ϑ	PROPN
ejpam-5956	765	34	∈	∈	PROPN
ejpam-5956	765	35	i1	i1	PROPN
ejpam-5956	765	36	,	,	PUNCT
ejpam-5956	765	37	the	the	DET
ejpam-5956	765	38	following	following	ADJ
ejpam-5956	765	39	statements	statement	NOUN
ejpam-5956	765	40	are	be	AUX
ejpam-5956	765	41	equivalent	equivalent	ADJ
ejpam-5956	765	42	:	:	PUNCT
ejpam-5956	765	43	(	(	PUNCT
ejpam-5956	765	44	1	1	X
ejpam-5956	765	45	)	)	PUNCT
ejpam-5956	765	46	f	f	PROPN
ejpam-5956	765	47	is	be	AUX
ejpam-5956	765	48	pf	pf	PROPN
ejpam-5956	765	49	uaw	uaw	NOUN
ejpam-5956	765	50	ℓp	ℓp	ADJ
ejpam-5956	765	51	-continuous	-continuous	ADJ
ejpam-5956	765	52	.	.	PUNCT
ejpam-5956	766	1	(	(	PUNCT
ejpam-5956	766	2	2	2	X
ejpam-5956	766	3	)	)	PUNCT
ejpam-5956	766	4	fu	fu	NOUN
ejpam-5956	766	5	(	(	PUNCT
ejpam-5956	766	6	q	q	NOUN
ejpam-5956	766	7	)	)	PUNCT
ejpam-5956	766	8	⊆	⊆	NUM
ejpam-5956	766	9	intτ	intτ	ADV
ejpam-5956	766	10	(	(	PUNCT
ejpam-5956	766	11	clτ	clτ	NOUN
ejpam-5956	766	12	(	(	PUNCT
ejpam-5956	766	13	fu(cl∗	fu(cl∗	PROPN
ejpam-5956	766	14	(	(	PUNCT
ejpam-5956	766	15	q	q	NOUN
ejpam-5956	766	16	,	,	PUNCT
ejpam-5956	766	17	⟨ς	⟨ς	NOUN
ejpam-5956	766	18	,	,	PUNCT
ejpam-5956	766	19	κ	κ	NOUN
ejpam-5956	766	20	,	,	PUNCT
ejpam-5956	766	21	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	766	22	)	)	PUNCT
ejpam-5956	766	23	)	)	PUNCT
ejpam-5956	766	24	,	,	PUNCT
ejpam-5956	766	25	⟨ς	⟨ς	NOUN
ejpam-5956	766	26	,	,	PUNCT
ejpam-5956	766	27	κ	κ	NOUN
ejpam-5956	766	28	,	,	PUNCT
ejpam-5956	766	29	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	766	30	)	)	PUNCT
ejpam-5956	766	31	,	,	PUNCT
ejpam-5956	766	32	⟨ς	⟨ς	NOUN
ejpam-5956	766	33	,	,	PUNCT
ejpam-5956	766	34	κ	κ	NOUN
ejpam-5956	766	35	,	,	PUNCT
ejpam-5956	766	36	ϑ⟩),if	ϑ⟩),if	PROPN
ejpam-5956	766	37	σ	σ	PROPN
ejpam-5956	766	38	(	(	PUNCT
ejpam-5956	766	39	q	q	NOUN
ejpam-5956	766	40	)	)	PUNCT
ejpam-5956	766	41	≥	≥	NOUN
ejpam-5956	766	42	⟨ς	⟨ς	NOUN
ejpam-5956	766	43	,	,	PUNCT
ejpam-5956	766	44	κ	κ	NOUN
ejpam-5956	766	45	,	,	PUNCT
ejpam-5956	766	46	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	766	47	.	.	PUNCT
ejpam-5956	767	1	(	(	PUNCT
ejpam-5956	767	2	3	3	X
ejpam-5956	767	3	)	)	PUNCT
ejpam-5956	767	4	clτ	clτ	NOUN
ejpam-5956	767	5	(	(	PUNCT
ejpam-5956	767	6	intτ	intτ	PROPN
ejpam-5956	767	7	(	(	PUNCT
ejpam-5956	767	8	fl(int∗	fl(int∗	X
ejpam-5956	767	9	(	(	PUNCT
ejpam-5956	767	10	q	q	PROPN
ejpam-5956	767	11	,	,	PUNCT
ejpam-5956	767	12	⟨ς	⟨ς	NOUN
ejpam-5956	767	13	,	,	PUNCT
ejpam-5956	767	14	κ	κ	NOUN
ejpam-5956	767	15	,	,	PUNCT
ejpam-5956	767	16	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	767	17	)	)	PUNCT
ejpam-5956	767	18	)	)	PUNCT
ejpam-5956	767	19	,	,	PUNCT
ejpam-5956	767	20	⟨ς	⟨ς	NOUN
ejpam-5956	767	21	,	,	PUNCT
ejpam-5956	767	22	κ	κ	NOUN
ejpam-5956	767	23	,	,	PUNCT
ejpam-5956	767	24	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	767	25	)	)	PUNCT
ejpam-5956	767	26	,	,	PUNCT
ejpam-5956	767	27	⟨ς	⟨ς	NOUN
ejpam-5956	767	28	,	,	PUNCT
ejpam-5956	767	29	κ	κ	NOUN
ejpam-5956	767	30	,	,	PUNCT
ejpam-5956	767	31	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	767	32	)	)	PUNCT
ejpam-5956	768	1	⊆	⊆	NUM
ejpam-5956	768	2	fl	fl	PROPN
ejpam-5956	768	3	(	(	PUNCT
ejpam-5956	768	4	q	q	NOUN
ejpam-5956	768	5	)	)	PUNCT
ejpam-5956	768	6	,	,	PUNCT
ejpam-5956	768	7	if	if	SCONJ
ejpam-5956	768	8	σ(ⅎ	σ(ⅎ	PROPN
ejpam-5956	768	9	q	q	X
ejpam-5956	768	10	)	)	PUNCT
ejpam-5956	768	11	≥	≥	NOUN
ejpam-5956	768	12	⟨ς	⟨ς	NOUN
ejpam-5956	768	13	,	,	PUNCT
ejpam-5956	768	14	κ	κ	NOUN
ejpam-5956	768	15	,	,	PUNCT
ejpam-5956	768	16	ϑ⟩.	ϑ⟩.	VERB
ejpam-5956	768	17	the	the	DET
ejpam-5956	768	18	following	follow	VERB
ejpam-5956	768	19	example	example	NOUN
ejpam-5956	768	20	shows	show	VERB
ejpam-5956	768	21	that	that	SCONJ
ejpam-5956	768	22	generally	generally	ADV
ejpam-5956	768	23	pf	pf	AUX
ejpam-5956	768	24	uaw	uaw	NOUN
ejpam-5956	768	25	continuous	continuous	ADJ
ejpam-5956	768	26	and	and	CCONJ
ejpam-5956	768	27	pf	pf	NOUN
ejpam-5956	768	28	law	law	NOUN
ejpam-5956	768	29	continuous	continuous	ADJ
ejpam-5956	768	30	(	(	PUNCT
ejpam-5956	768	31	resp	resp	NOUN
ejpam-5956	768	32	.	.	PUNCT
ejpam-5956	769	1	pf	pf	PROPN
ejpam-5956	769	2	uaw	uaw	PROPN
ejpam-5956	769	3	ℓp	ℓp	ADP
ejpam-5956	769	4	-continuous	-continuous	ADJ
ejpam-5956	769	5	and	and	CCONJ
ejpam-5956	769	6	pf	pf	NOUN
ejpam-5956	769	7	law	law	NOUN
ejpam-5956	769	8	ℓp	ℓp	ADJ
ejpam-5956	769	9	-continuous	-continuous	ADJ
ejpam-5956	769	10	)	)	PUNCT
ejpam-5956	769	11	need	need	AUX
ejpam-5956	769	12	not	not	PART
ejpam-5956	769	13	be	be	AUX
ejpam-5956	769	14	either	either	CCONJ
ejpam-5956	769	15	pf	pf	PROPN
ejpam-5956	769	16	uaw	uaw	PROPN
ejpam-5956	769	17	ℓp	ℓp	ADJ
ejpam-5956	769	18	-continuous	-continuous	ADJ
ejpam-5956	769	19	(	(	PUNCT
ejpam-5956	769	20	resp	resp	NOUN
ejpam-5956	769	21	.	.	PUNCT
ejpam-5956	770	1	pf	pf	PROPN
ejpam-5956	770	2	uw	uw	PROPN
ejpam-5956	770	3	ℓp	ℓp	ADJ
ejpam-5956	770	4	-continuous	-continuous	ADJ
ejpam-5956	770	5	)	)	PUNCT
ejpam-5956	770	6	or	or	CCONJ
ejpam-5956	770	7	pf	pf	PROPN
ejpam-5956	770	8	law	law	NOUN
ejpam-5956	770	9	ℓp	ℓp	NOUN
ejpam-5956	770	10	-continuous	-continuous	ADJ
ejpam-5956	770	11	(	(	PUNCT
ejpam-5956	770	12	resp	resp	NOUN
ejpam-5956	770	13	.	.	PUNCT
ejpam-5956	771	1	pf	pf	PROPN
ejpam-5956	771	2	lw	lw	NOUN
ejpam-5956	771	3	ℓp	ℓp	ADJ
ejpam-5956	771	4	-continuous	-continuous	ADJ
ejpam-5956	771	5	)	)	PUNCT
ejpam-5956	771	6	.	.	PUNCT
ejpam-5956	772	1	example	example	NOUN
ejpam-5956	772	2	3.7	3.7	NUM
ejpam-5956	772	3	.	.	PUNCT
ejpam-5956	773	1	let	let	VERB
ejpam-5956	773	2	ξ	ξ	X
ejpam-5956	773	3	=	=	SYM
ejpam-5956	773	4	{	{	PUNCT
ejpam-5956	773	5	ξ1	ξ1	NOUN
ejpam-5956	773	6	,	,	PUNCT
ejpam-5956	773	7	ξ2	ξ2	NOUN
ejpam-5956	773	8	}	}	PUNCT
ejpam-5956	773	9	,	,	PUNCT
ejpam-5956	773	10	υ	υ	NOUN
ejpam-5956	773	11	=	=	PRON
ejpam-5956	773	12	{	{	PUNCT
ejpam-5956	773	13	ζ1	ζ1	NOUN
ejpam-5956	773	14	,	,	PUNCT
ejpam-5956	773	15	ζ2	ζ2	NOUN
ejpam-5956	773	16	,	,	PUNCT
ejpam-5956	773	17	ζ3	ζ3	NOUN
ejpam-5956	773	18	}	}	PUNCT
ejpam-5956	773	19	and	and	CCONJ
ejpam-5956	773	20	f	f	NOUN
ejpam-5956	773	21	:	:	PUNCT
ejpam-5956	773	22	ξ	ξ	X
ejpam-5956	773	23	↬	↬	PROPN
ejpam-5956	773	24	υ	υ	PART
ejpam-5956	773	25	be	be	AUX
ejpam-5956	773	26	a	a	DET
ejpam-5956	773	27	pfm	pfm	NOUN
ejpam-5956	773	28	defined	define	VERB
ejpam-5956	773	29	by	by	ADP
ejpam-5956	773	30	ψf(ξ1	ψf(ξ1	NOUN
ejpam-5956	773	31	,	,	PUNCT
ejpam-5956	773	32	ζ1	ζ1	NOUN
ejpam-5956	773	33	)	)	PUNCT
ejpam-5956	774	1	=	=	SYM
ejpam-5956	774	2	⟨0.1	⟨0.1	PROPN
ejpam-5956	774	3	,	,	PUNCT
ejpam-5956	774	4	0.3	0.3	NUM
ejpam-5956	774	5	,	,	PUNCT
ejpam-5956	774	6	0.6⟩	0.6⟩	NUM
ejpam-5956	774	7	,	,	PUNCT
ejpam-5956	774	8	ψf(ξ1	ψf(ξ1	NOUN
ejpam-5956	774	9	,	,	PUNCT
ejpam-5956	774	10	ζ2	ζ2	NOUN
ejpam-5956	774	11	)	)	PUNCT
ejpam-5956	774	12	=	=	SYM
ejpam-5956	775	1	⟨1	⟨1	PROPN
ejpam-5956	775	2	,	,	PUNCT
ejpam-5956	775	3	0	0	NUM
ejpam-5956	775	4	,	,	PUNCT
ejpam-5956	775	5	0⟩	0⟩	PROPN
ejpam-5956	775	6	,	,	PUNCT
ejpam-5956	775	7	ψf(ξ1	ψf(ξ1	NOUN
ejpam-5956	775	8	,	,	PUNCT
ejpam-5956	775	9	ζ3	ζ3	NOUN
ejpam-5956	775	10	)	)	PUNCT
ejpam-5956	775	11	=	=	SYM
ejpam-5956	776	1	⟨0.23	⟨0.23	PROPN
ejpam-5956	776	2	,	,	PUNCT
ejpam-5956	776	3	0.12	0.12	NUM
ejpam-5956	776	4	,	,	PUNCT
ejpam-5956	776	5	0.4⟩	0.4⟩	NUM
ejpam-5956	776	6	,	,	PUNCT
ejpam-5956	776	7	ψf(ξ2	ψf(ξ2	NOUN
ejpam-5956	776	8	,	,	PUNCT
ejpam-5956	776	9	ζ1	ζ1	NOUN
ejpam-5956	776	10	)	)	PUNCT
ejpam-5956	776	11	=	=	SYM
ejpam-5956	776	12	⟨0.31	⟨0.31	PROPN
ejpam-5956	776	13	,	,	PUNCT
ejpam-5956	776	14	0.23	0.23	NUM
ejpam-5956	776	15	,	,	PUNCT
ejpam-5956	776	16	0.43⟩	0.43⟩	PROPN
ejpam-5956	776	17	,	,	PUNCT
ejpam-5956	776	18	ψf(ξ2	ψf(ξ2	NOUN
ejpam-5956	776	19	,	,	PUNCT
ejpam-5956	776	20	ζ2	ζ2	NOUN
ejpam-5956	776	21	)	)	PUNCT
ejpam-5956	776	22	=	=	SYM
ejpam-5956	777	1	⟨0.45	⟨0.45	PROPN
ejpam-5956	777	2	,	,	PUNCT
ejpam-5956	777	3	0.1	0.1	NUM
ejpam-5956	777	4	,	,	PUNCT
ejpam-5956	777	5	0.4⟩	0.4⟩	NUM
ejpam-5956	777	6	,	,	PUNCT
ejpam-5956	777	7	ψf(ξ2	ψf(ξ2	NOUN
ejpam-5956	777	8	,	,	PUNCT
ejpam-5956	777	9	ζ3	ζ3	NOUN
ejpam-5956	777	10	)	)	PUNCT
ejpam-5956	777	11	=	=	SYM
ejpam-5956	778	1	⟨1	⟨1	PROPN
ejpam-5956	778	2	,	,	PUNCT
ejpam-5956	778	3	0	0	NUM
ejpam-5956	778	4	,	,	PUNCT
ejpam-5956	778	5	0⟩.	0⟩.	PROPN
ejpam-5956	778	6	for	for	ADP
ejpam-5956	778	7	k1	k1	PROPN
ejpam-5956	778	8	=	=	SYM
ejpam-5956	778	9	{	{	PUNCT
ejpam-5956	778	10	⟨ξ	⟨ξ	NOUN
ejpam-5956	778	11	,	,	PUNCT
ejpam-5956	778	12	0.3	0.3	NUM
ejpam-5956	778	13	,	,	PUNCT
ejpam-5956	778	14	0.2	0.2	NUM
ejpam-5956	778	15	,	,	PUNCT
ejpam-5956	778	16	0.1⟩	0.1⟩	NUM
ejpam-5956	779	1	|	|	NOUN
ejpam-5956	779	2	ξ	ξ	PROPN
ejpam-5956	779	3	∈	∈	PROPN
ejpam-5956	779	4	ξ	ξ	NOUN
ejpam-5956	779	5	}	}	PUNCT
ejpam-5956	779	6	and	and	CCONJ
ejpam-5956	779	7	q	q	NOUN
ejpam-5956	779	8	1	1	NUM
ejpam-5956	779	9	=	=	SYM
ejpam-5956	779	10	{	{	PUNCT
ejpam-5956	779	11	⟨ζ	⟨ζ	NOUN
ejpam-5956	779	12	,	,	PUNCT
ejpam-5956	779	13	0.2	0.2	NUM
ejpam-5956	779	14	,	,	PUNCT
ejpam-5956	779	15	0.5	0.5	NUM
ejpam-5956	779	16	,	,	PUNCT
ejpam-5956	779	17	0.3⟩	0.3⟩	ADJ
ejpam-5956	779	18	|	|	ADV
ejpam-5956	779	19	ζ	ζ	NOUN
ejpam-5956	779	20	∈	∈	ADJ
ejpam-5956	779	21	υ	υ	AUX
ejpam-5956	779	22	}	}	PUNCT
ejpam-5956	779	23	define	define	VERB
ejpam-5956	779	24	picture	picture	NOUN
ejpam-5956	779	25	fuzzy	fuzzy	ADJ
ejpam-5956	779	26	topologies	topology	NOUN
ejpam-5956	779	27	τ	τ	X
ejpam-5956	779	28	:	:	PUNCT
ejpam-5956	779	29	(	(	PUNCT
ejpam-5956	779	30	i3	i3	NOUN
ejpam-5956	779	31	)	)	PUNCT
ejpam-5956	779	32	ξ	ξ	PROPN
ejpam-5956	779	33	→	→	SYM
ejpam-5956	779	34	i3	i3	NOUN
ejpam-5956	779	35	,	,	PUNCT
ejpam-5956	779	36	σ	σ	PROPN
ejpam-5956	779	37	:	:	PUNCT
ejpam-5956	779	38	(	(	PUNCT
ejpam-5956	779	39	i3	i3	NOUN
ejpam-5956	779	40	)	)	PUNCT
ejpam-5956	779	41	υ	υ	NOUN
ejpam-5956	779	42	→	→	SYM
ejpam-5956	779	43	i3	i3	NOUN
ejpam-5956	779	44	,	,	PUNCT
ejpam-5956	779	45	and	and	CCONJ
ejpam-5956	779	46	picture	picture	NOUN
ejpam-5956	779	47	fuzzy	fuzzy	ADJ
ejpam-5956	779	48	ideal	ideal	ADJ
ejpam-5956	779	49	ℓp	ℓp	NOUN
ejpam-5956	779	50	:	:	PUNCT
ejpam-5956	779	51	(	(	PUNCT
ejpam-5956	779	52	i3	i3	NOUN
ejpam-5956	779	53	)	)	PUNCT
ejpam-5956	779	54	υ	υ	NOUN
ejpam-5956	779	55	→	→	PUNCT
ejpam-5956	779	56	i3	i3	NOUN
ejpam-5956	779	57	as	as	SCONJ
ejpam-5956	779	58	follows	follow	VERB
ejpam-5956	779	59	:	:	PUNCT
ejpam-5956	779	60	dali	dali	PROPN
ejpam-5956	779	61	shi	shi	PROPN
ejpam-5956	779	62	et	et	PROPN
ejpam-5956	779	63	al	al	PROPN
ejpam-5956	779	64	.	.	PUNCT
ejpam-5956	779	65	/	/	SYM
ejpam-5956	779	66	eur	eur	PROPN
ejpam-5956	779	67	.	.	PUNCT
ejpam-5956	780	1	j.	j.	PROPN
ejpam-5956	780	2	pure	pure	PROPN
ejpam-5956	780	3	appl	appl	PROPN
ejpam-5956	780	4	.	.	PROPN
ejpam-5956	780	5	math	math	PROPN
ejpam-5956	780	6	,	,	PUNCT
ejpam-5956	780	7	18	18	NUM
ejpam-5956	780	8	(	(	PUNCT
ejpam-5956	780	9	2	2	NUM
ejpam-5956	780	10	)	)	PUNCT
ejpam-5956	780	11	(	(	PUNCT
ejpam-5956	780	12	2025	2025	NUM
ejpam-5956	780	13	)	)	PUNCT
ejpam-5956	780	14	,	,	PUNCT
ejpam-5956	780	15	5956	5956	NUM
ejpam-5956	780	16	27	27	NUM
ejpam-5956	780	17	of	of	ADP
ejpam-5956	780	18	30	30	NUM
ejpam-5956	780	19	τ(k	τ(k	NOUN
ejpam-5956	780	20	)	)	PUNCT
ejpam-5956	780	21	=	=	SYM
ejpam-5956	780	22			NUM
ejpam-5956	780	23	⟨1	⟨1	PROPN
ejpam-5956	780	24	,	,	PUNCT
ejpam-5956	780	25	0	0	NUM
ejpam-5956	780	26	,	,	PUNCT
ejpam-5956	780	27	0⟩	0⟩	PROPN
ejpam-5956	780	28	if	if	SCONJ
ejpam-5956	780	29	k	k	PROPN
ejpam-5956	780	30	∈	∈	PROPN
ejpam-5956	780	31	{	{	PUNCT
ejpam-5956	780	32	♭	♭	PROPN
ejpam-5956	780	33	,	,	PUNCT
ejpam-5956	780	34	♯	♯	PROPN
ejpam-5956	780	35	}	}	PUNCT
ejpam-5956	780	36	,	,	PUNCT
ejpam-5956	780	37	⟨0.35	⟨0.35	PROPN
ejpam-5956	780	38	,	,	PUNCT
ejpam-5956	780	39	0.3	0.3	NUM
ejpam-5956	780	40	,	,	PUNCT
ejpam-5956	780	41	0.3⟩	0.3⟩	PUNCT
ejpam-5956	781	1	if	if	SCONJ
ejpam-5956	781	2	k	k	PROPN
ejpam-5956	781	3	=	=	SYM
ejpam-5956	781	4	k1	k1	PROPN
ejpam-5956	781	5	,	,	PUNCT
ejpam-5956	781	6	⟨0	⟨0	PROPN
ejpam-5956	781	7	,	,	PUNCT
ejpam-5956	781	8	1	1	NUM
ejpam-5956	781	9	,	,	PUNCT
ejpam-5956	781	10	0⟩	0⟩	PROPN
ejpam-5956	781	11	otherwise	otherwise	ADV
ejpam-5956	781	12	,	,	PUNCT
ejpam-5956	781	13	,	,	PUNCT
ejpam-5956	781	14	σ	σ	PROPN
ejpam-5956	781	15	(	(	PUNCT
ejpam-5956	781	16	q	q	PROPN
ejpam-5956	781	17	)	)	PUNCT
ejpam-5956	781	18	=	=	SYM
ejpam-5956	781	19			NUM
ejpam-5956	781	20	⟨1	⟨1	PROPN
ejpam-5956	781	21	,	,	PUNCT
ejpam-5956	781	22	0	0	NUM
ejpam-5956	781	23	,	,	PUNCT
ejpam-5956	781	24	0⟩	0⟩	PROPN
ejpam-5956	782	1	if	if	SCONJ
ejpam-5956	782	2	q	q	X
ejpam-5956	782	3	∈	∈	PROPN
ejpam-5956	782	4	{	{	PUNCT
ejpam-5956	782	5	♭	♭	PROPN
ejpam-5956	782	6	,	,	PUNCT
ejpam-5956	782	7	♯	♯	PROPN
ejpam-5956	782	8	}	}	PUNCT
ejpam-5956	782	9	,	,	PUNCT
ejpam-5956	782	10	⟨0.31	⟨0.31	PROPN
ejpam-5956	782	11	,	,	PUNCT
ejpam-5956	782	12	0.31	0.31	NUM
ejpam-5956	782	13	,	,	PUNCT
ejpam-5956	782	14	0.18⟩	0.18⟩	NOUN
ejpam-5956	783	1	if	if	SCONJ
ejpam-5956	783	2	q	q	NOUN
ejpam-5956	783	3	=	=	SYM
ejpam-5956	783	4	q1	q1	PROPN
ejpam-5956	783	5	,	,	PUNCT
ejpam-5956	783	6	⟨0	⟨0	PROPN
ejpam-5956	783	7	,	,	PUNCT
ejpam-5956	783	8	1	1	NUM
ejpam-5956	783	9	,	,	PUNCT
ejpam-5956	783	10	0⟩	0⟩	PROPN
ejpam-5956	783	11	otherwise	otherwise	ADV
ejpam-5956	783	12	,	,	PUNCT
ejpam-5956	783	13	ℓp	ℓp	NOUN
ejpam-5956	783	14	(	(	PUNCT
ejpam-5956	783	15	q	q	NOUN
ejpam-5956	783	16	)	)	PUNCT
ejpam-5956	783	17	=	=	PUNCT
ejpam-5956	784	1			PROPN
ejpam-5956	784	2	⟨1	⟨1	PROPN
ejpam-5956	784	3	,	,	PUNCT
ejpam-5956	784	4	0	0	NUM
ejpam-5956	784	5	,	,	PUNCT
ejpam-5956	784	6	0⟩	0⟩	PROPN
ejpam-5956	785	1	if	if	SCONJ
ejpam-5956	785	2	q	q	PROPN
ejpam-5956	785	3	=	=	SYM
ejpam-5956	785	4	♭	♭	PROPN
ejpam-5956	785	5	,	,	PUNCT
ejpam-5956	785	6	⟨0.36	⟨0.36	PROPN
ejpam-5956	785	7	,	,	PUNCT
ejpam-5956	785	8	0.31	0.31	NUM
ejpam-5956	785	9	,	,	PUNCT
ejpam-5956	785	10	0.2⟩	0.2⟩	PUNCT
ejpam-5956	785	11	if	if	SCONJ
ejpam-5956	785	12	♭	♭	PROPN
ejpam-5956	785	13	⊆	⊆	NUM
ejpam-5956	785	14	q	q	SYM
ejpam-5956	785	15	⊆	⊆	NUM
ejpam-5956	785	16	{	{	PUNCT
ejpam-5956	785	17	⟨ζ	⟨ζ	NUM
ejpam-5956	785	18	,	,	PUNCT
ejpam-5956	785	19	0.2	0.2	NUM
ejpam-5956	785	20	,	,	PUNCT
ejpam-5956	785	21	0.5	0.5	NUM
ejpam-5956	785	22	,	,	PUNCT
ejpam-5956	785	23	0.21⟩	0.21⟩	VERB
ejpam-5956	785	24	|ζ	|ζ	PROPN
ejpam-5956	785	25	∈	∈	PROPN
ejpam-5956	785	26	υ	υ	PROPN
ejpam-5956	785	27	}	}	PUNCT
ejpam-5956	785	28	,	,	PUNCT
ejpam-5956	785	29	⟨0	⟨0	PROPN
ejpam-5956	785	30	,	,	PUNCT
ejpam-5956	785	31	1	1	NUM
ejpam-5956	785	32	,	,	PUNCT
ejpam-5956	785	33	0⟩	0⟩	PROPN
ejpam-5956	785	34	otherwise	otherwise	ADV
ejpam-5956	785	35	.	.	PUNCT
ejpam-5956	786	1	then	then	ADV
ejpam-5956	786	2	,	,	PUNCT
ejpam-5956	786	3	(	(	PUNCT
ejpam-5956	786	4	1	1	X
ejpam-5956	786	5	)	)	PUNCT
ejpam-5956	786	6	f	f	NOUN
ejpam-5956	786	7	:	:	PUNCT
ejpam-5956	786	8	(	(	PUNCT
ejpam-5956	786	9	ξ	ξ	X
ejpam-5956	786	10	,	,	PUNCT
ejpam-5956	786	11	τ	τ	X
ejpam-5956	786	12	)	)	PUNCT
ejpam-5956	786	13	↬	↬	PROPN
ejpam-5956	786	14	(	(	PUNCT
ejpam-5956	786	15	υ	υ	PROPN
ejpam-5956	786	16	,	,	PUNCT
ejpam-5956	786	17	σ	σ	PROPN
ejpam-5956	786	18	,	,	PUNCT
ejpam-5956	786	19	ℓp	ℓp	ADJ
ejpam-5956	786	20	)	)	PUNCT
ejpam-5956	786	21	is	be	AUX
ejpam-5956	786	22	pf	pf	PROPN
ejpam-5956	786	23	uaw	uaw	PROPN
ejpam-5956	786	24	(	(	PUNCT
ejpam-5956	786	25	resp	resp	NOUN
ejpam-5956	786	26	.	.	PUNCT
ejpam-5956	787	1	pf	pf	PROPN
ejpam-5956	787	2	law	law	NOUN
ejpam-5956	787	3	)	)	PUNCT
ejpam-5956	787	4	-continuous	-continuous	ADJ
ejpam-5956	787	5	but	but	CCONJ
ejpam-5956	787	6	is	be	AUX
ejpam-5956	787	7	not	not	PART
ejpam-5956	787	8	pf	pf	PROPN
ejpam-5956	787	9	uaw	uaw	PROPN
ejpam-5956	787	10	(	(	PUNCT
ejpam-5956	787	11	resp	resp	NOUN
ejpam-5956	787	12	.	.	PUNCT
ejpam-5956	788	1	pf	pf	PROPN
ejpam-5956	788	2	law	law	NOUN
ejpam-5956	788	3	)	)	PUNCT
ejpam-5956	788	4	ℓp	ℓp	ADP
ejpam-5956	788	5	-continuous	-continuous	ADJ
ejpam-5956	788	6	because	because	SCONJ
ejpam-5956	788	7	{	{	PUNCT
ejpam-5956	788	8	⟨ξ	⟨ξ	NOUN
ejpam-5956	788	9	,	,	PUNCT
ejpam-5956	788	10	0.2	0.2	NUM
ejpam-5956	788	11	,	,	PUNCT
ejpam-5956	788	12	0.5	0.5	NUM
ejpam-5956	788	13	,	,	PUNCT
ejpam-5956	788	14	0⟩	0⟩	PROPN
ejpam-5956	788	15	|ξ	|ξ	VERB
ejpam-5956	788	16	∈	∈	PROPN
ejpam-5956	788	17	ξ	ξ	NOUN
ejpam-5956	788	18	}	}	PUNCT
ejpam-5956	788	19	=	=	SYM
ejpam-5956	788	20	fu	fu	ADJ
ejpam-5956	788	21	(	(	PUNCT
ejpam-5956	788	22	q1	q1	PROPN
ejpam-5956	788	23	)	)	PUNCT
ejpam-5956	788	24	⊆	⊆	NUM
ejpam-5956	788	25	intτ	intτ	ADV
ejpam-5956	788	26	(	(	PUNCT
ejpam-5956	788	27	clτ	clτ	NOUN
ejpam-5956	788	28	(	(	PUNCT
ejpam-5956	788	29	fu(clσ	fu(clσ	PROPN
ejpam-5956	788	30	(	(	PUNCT
ejpam-5956	788	31	q1	q1	PROPN
ejpam-5956	788	32	,	,	PUNCT
ejpam-5956	788	33	⟨0.31	⟨0.31	PROPN
ejpam-5956	788	34	,	,	PUNCT
ejpam-5956	788	35	0.31	0.31	NUM
ejpam-5956	788	36	,	,	PUNCT
ejpam-5956	788	37	0.18⟩	0.18⟩	NOUN
ejpam-5956	788	38	)	)	PUNCT
ejpam-5956	788	39	)	)	PUNCT
ejpam-5956	788	40	,	,	PUNCT
ejpam-5956	788	41	⟨0.31	⟨0.31	PROPN
ejpam-5956	788	42	,	,	PUNCT
ejpam-5956	788	43	0.31	0.31	NUM
ejpam-5956	788	44	,	,	PUNCT
ejpam-5956	788	45	0.18⟩	0.18⟩	NUM
ejpam-5956	788	46	)	)	PUNCT
ejpam-5956	788	47	,	,	PUNCT
ejpam-5956	788	48	⟨0.31	⟨0.31	PROPN
ejpam-5956	788	49	,	,	PUNCT
ejpam-5956	788	50	0.31	0.31	NUM
ejpam-5956	788	51	,	,	PUNCT
ejpam-5956	788	52	0.18⟩	0.18⟩	NUM
ejpam-5956	788	53	)	)	PUNCT
ejpam-5956	789	1	=	=	SYM
ejpam-5956	789	2	♯	♯	PROPN
ejpam-5956	789	3	,	,	PUNCT
ejpam-5956	789	4	{	{	PUNCT
ejpam-5956	789	5	⟨ξ	⟨ξ	NOUN
ejpam-5956	789	6	,	,	PUNCT
ejpam-5956	789	7	0.2	0.2	NUM
ejpam-5956	789	8	,	,	PUNCT
ejpam-5956	789	9	0.5	0.5	NUM
ejpam-5956	789	10	,	,	PUNCT
ejpam-5956	789	11	0⟩	0⟩	PROPN
ejpam-5956	789	12	|ξ	|ξ	VERB
ejpam-5956	789	13	∈	∈	PROPN
ejpam-5956	789	14	ξ	ξ	NOUN
ejpam-5956	789	15	}	}	PUNCT
ejpam-5956	789	16	=	=	SYM
ejpam-5956	789	17	fl	fl	PROPN
ejpam-5956	789	18	(	(	PUNCT
ejpam-5956	789	19	q1	q1	PROPN
ejpam-5956	789	20	)	)	PUNCT
ejpam-5956	789	21	⊆	⊆	NUM
ejpam-5956	789	22	intτ	intτ	ADV
ejpam-5956	789	23	(	(	PUNCT
ejpam-5956	789	24	clτ	clτ	NOUN
ejpam-5956	789	25	(	(	PUNCT
ejpam-5956	789	26	fl(clσ	fl(clσ	PROPN
ejpam-5956	789	27	(	(	PUNCT
ejpam-5956	789	28	q1	q1	PROPN
ejpam-5956	789	29	,	,	PUNCT
ejpam-5956	789	30	⟨0.31	⟨0.31	PROPN
ejpam-5956	789	31	,	,	PUNCT
ejpam-5956	789	32	0.31	0.31	NUM
ejpam-5956	789	33	,	,	PUNCT
ejpam-5956	789	34	0.18⟩	0.18⟩	NOUN
ejpam-5956	789	35	)	)	PUNCT
ejpam-5956	789	36	)	)	PUNCT
ejpam-5956	789	37	,	,	PUNCT
ejpam-5956	789	38	⟨0.31	⟨0.31	PROPN
ejpam-5956	789	39	,	,	PUNCT
ejpam-5956	789	40	0.31	0.31	NUM
ejpam-5956	789	41	,	,	PUNCT
ejpam-5956	789	42	0.18⟩	0.18⟩	NUM
ejpam-5956	789	43	)	)	PUNCT
ejpam-5956	789	44	,	,	PUNCT
ejpam-5956	789	45	⟨0.31	⟨0.31	PROPN
ejpam-5956	789	46	,	,	PUNCT
ejpam-5956	789	47	0.31	0.31	NUM
ejpam-5956	789	48	,	,	PUNCT
ejpam-5956	789	49	0.18⟩	0.18⟩	NUM
ejpam-5956	789	50	)	)	PUNCT
ejpam-5956	789	51	=	=	SYM
ejpam-5956	789	52	♯	♯	PROPN
ejpam-5956	789	53	,	,	PUNCT
ejpam-5956	789	54	but	but	CCONJ
ejpam-5956	789	55	{	{	PUNCT
ejpam-5956	789	56	⟨ξ	⟨ξ	NOUN
ejpam-5956	789	57	,	,	PUNCT
ejpam-5956	789	58	0.2	0.2	NUM
ejpam-5956	789	59	,	,	PUNCT
ejpam-5956	789	60	0.5	0.5	NUM
ejpam-5956	789	61	,	,	PUNCT
ejpam-5956	789	62	0⟩	0⟩	PROPN
ejpam-5956	789	63	|ξ	|ξ	VERB
ejpam-5956	789	64	∈	∈	PROPN
ejpam-5956	789	65	ξ	ξ	NOUN
ejpam-5956	789	66	}	}	PUNCT
ejpam-5956	789	67	=	=	SYM
ejpam-5956	789	68	fu	fu	ADJ
ejpam-5956	789	69	(	(	PUNCT
ejpam-5956	789	70	q1	q1	PROPN
ejpam-5956	789	71	)	)	PUNCT
ejpam-5956	789	72	⊈	⊈	VERB
ejpam-5956	790	1	intτ	intτ	ADV
ejpam-5956	790	2	(	(	PUNCT
ejpam-5956	790	3	clτ	clτ	NOUN
ejpam-5956	790	4	(	(	PUNCT
ejpam-5956	790	5	fu(cl∗	fu(cl∗	PROPN
ejpam-5956	790	6	(	(	PUNCT
ejpam-5956	790	7	q1	q1	PROPN
ejpam-5956	790	8	,	,	PUNCT
ejpam-5956	790	9	⟨0.31	⟨0.31	PROPN
ejpam-5956	790	10	,	,	PUNCT
ejpam-5956	790	11	0.31	0.31	NUM
ejpam-5956	790	12	,	,	PUNCT
ejpam-5956	790	13	0.18⟩	0.18⟩	NOUN
ejpam-5956	790	14	)	)	PUNCT
ejpam-5956	790	15	)	)	PUNCT
ejpam-5956	790	16	,	,	PUNCT
ejpam-5956	790	17	⟨0.31	⟨0.31	PROPN
ejpam-5956	790	18	,	,	PUNCT
ejpam-5956	790	19	0.31	0.31	NUM
ejpam-5956	790	20	,	,	PUNCT
ejpam-5956	790	21	0.18⟩	0.18⟩	NUM
ejpam-5956	790	22	)	)	PUNCT
ejpam-5956	790	23	,	,	PUNCT
ejpam-5956	790	24	⟨0.31	⟨0.31	PROPN
ejpam-5956	790	25	,	,	PUNCT
ejpam-5956	790	26	0.31	0.31	NUM
ejpam-5956	790	27	,	,	PUNCT
ejpam-5956	790	28	0.18⟩	0.18⟩	NUM
ejpam-5956	790	29	)	)	PUNCT
ejpam-5956	791	1	=	=	SYM
ejpam-5956	791	2	♭	♭	PROPN
ejpam-5956	791	3	,	,	PUNCT
ejpam-5956	791	4	{	{	PUNCT
ejpam-5956	791	5	⟨ξ	⟨ξ	NOUN
ejpam-5956	791	6	,	,	PUNCT
ejpam-5956	791	7	0.2	0.2	NUM
ejpam-5956	791	8	,	,	PUNCT
ejpam-5956	791	9	0.5	0.5	NUM
ejpam-5956	791	10	,	,	PUNCT
ejpam-5956	791	11	0⟩	0⟩	PROPN
ejpam-5956	791	12	|ξ	|ξ	VERB
ejpam-5956	791	13	∈	∈	PROPN
ejpam-5956	791	14	ξ	ξ	NOUN
ejpam-5956	791	15	}	}	PUNCT
ejpam-5956	791	16	=	=	SYM
ejpam-5956	791	17	fl	fl	PROPN
ejpam-5956	791	18	(	(	PUNCT
ejpam-5956	791	19	q1	q1	PROPN
ejpam-5956	791	20	)	)	PUNCT
ejpam-5956	791	21	⊈	⊈	VERB
ejpam-5956	792	1	intτ	intτ	ADV
ejpam-5956	792	2	(	(	PUNCT
ejpam-5956	792	3	clτ	clτ	NOUN
ejpam-5956	792	4	(	(	PUNCT
ejpam-5956	792	5	fl(cl∗	fl(cl∗	PROPN
ejpam-5956	792	6	(	(	PUNCT
ejpam-5956	792	7	q1	q1	PROPN
ejpam-5956	792	8	,	,	PUNCT
ejpam-5956	792	9	⟨0.31	⟨0.31	PROPN
ejpam-5956	792	10	,	,	PUNCT
ejpam-5956	792	11	0.31	0.31	NUM
ejpam-5956	792	12	,	,	PUNCT
ejpam-5956	792	13	0.18⟩	0.18⟩	NOUN
ejpam-5956	792	14	)	)	PUNCT
ejpam-5956	792	15	)	)	PUNCT
ejpam-5956	792	16	,	,	PUNCT
ejpam-5956	792	17	⟨0.31	⟨0.31	PROPN
ejpam-5956	792	18	,	,	PUNCT
ejpam-5956	792	19	0.31	0.31	NUM
ejpam-5956	792	20	,	,	PUNCT
ejpam-5956	792	21	0.18⟩	0.18⟩	NUM
ejpam-5956	792	22	)	)	PUNCT
ejpam-5956	792	23	,	,	PUNCT
ejpam-5956	792	24	⟨0.31	⟨0.31	PROPN
ejpam-5956	792	25	,	,	PUNCT
ejpam-5956	792	26	0.31	0.31	NUM
ejpam-5956	792	27	,	,	PUNCT
ejpam-5956	792	28	0.18⟩	0.18⟩	NUM
ejpam-5956	792	29	)	)	PUNCT
ejpam-5956	792	30	=	=	SYM
ejpam-5956	793	1	♭	♭	PROPN
ejpam-5956	793	2	,	,	PUNCT
ejpam-5956	793	3	(	(	PUNCT
ejpam-5956	793	4	2	2	NUM
ejpam-5956	793	5	)	)	PUNCT
ejpam-5956	793	6	for	for	ADP
ejpam-5956	793	7	k1	k1	NOUN
ejpam-5956	793	8	=	=	SYM
ejpam-5956	793	9	{	{	PUNCT
ejpam-5956	793	10	⟨ξ	⟨ξ	NOUN
ejpam-5956	793	11	,	,	PUNCT
ejpam-5956	793	12	0.3	0.3	NUM
ejpam-5956	793	13	,	,	PUNCT
ejpam-5956	793	14	0.2	0.2	NUM
ejpam-5956	793	15	,	,	PUNCT
ejpam-5956	793	16	0.1⟩	0.1⟩	NUM
ejpam-5956	794	1	|	|	ADV
ejpam-5956	794	2	ξ	ξ	PROPN
ejpam-5956	794	3	∈	∈	PROPN
ejpam-5956	794	4	ξ	ξ	X
ejpam-5956	794	5	}	}	PUNCT
ejpam-5956	794	6	,	,	PUNCT
ejpam-5956	794	7	then	then	ADV
ejpam-5956	794	8	f	f	X
ejpam-5956	794	9	:	:	PUNCT
ejpam-5956	794	10	(	(	PUNCT
ejpam-5956	794	11	ξ	ξ	X
ejpam-5956	794	12	,	,	PUNCT
ejpam-5956	794	13	τ	τ	X
ejpam-5956	794	14	)	)	PUNCT
ejpam-5956	794	15	↬	↬	PROPN
ejpam-5956	794	16	(	(	PUNCT
ejpam-5956	794	17	υ	υ	PROPN
ejpam-5956	794	18	,	,	PUNCT
ejpam-5956	794	19	σ	σ	PROPN
ejpam-5956	794	20	,	,	PUNCT
ejpam-5956	794	21	ℓp	ℓp	ADJ
ejpam-5956	794	22	)	)	PUNCT
ejpam-5956	794	23	is	be	AUX
ejpam-5956	794	24	pf	pf	PROPN
ejpam-5956	794	25	uaw	uaw	PROPN
ejpam-5956	794	26	(	(	PUNCT
ejpam-5956	794	27	resp	resp	NOUN
ejpam-5956	794	28	.	.	PUNCT
ejpam-5956	795	1	pf	pf	PROPN
ejpam-5956	795	2	law	law	NOUN
ejpam-5956	795	3	)	)	PUNCT
ejpam-5956	795	4	ℓp	ℓp	ADP
ejpam-5956	795	5	-continuous	-continuous	ADJ
ejpam-5956	795	6	but	but	CCONJ
ejpam-5956	795	7	is	be	AUX
ejpam-5956	795	8	not	not	PART
ejpam-5956	795	9	pf	pf	PROPN
ejpam-5956	795	10	uw	uw	PROPN
ejpam-5956	795	11	(	(	PUNCT
ejpam-5956	795	12	resp	resp	NOUN
ejpam-5956	795	13	.	.	PUNCT
ejpam-5956	796	1	pf	pf	PROPN
ejpam-5956	796	2	lw	lw	PROPN
ejpam-5956	796	3	)	)	PUNCT
ejpam-5956	796	4	ℓp	ℓp	ADP
ejpam-5956	796	5	-continuous	-continuous	ADJ
ejpam-5956	796	6	because	because	SCONJ
ejpam-5956	796	7	{	{	PUNCT
ejpam-5956	796	8	⟨ξ	⟨ξ	NOUN
ejpam-5956	796	9	,	,	PUNCT
ejpam-5956	796	10	0.2	0.2	NUM
ejpam-5956	796	11	,	,	PUNCT
ejpam-5956	796	12	0.5	0.5	NUM
ejpam-5956	796	13	,	,	PUNCT
ejpam-5956	796	14	0⟩	0⟩	PROPN
ejpam-5956	796	15	|ξ	|ξ	VERB
ejpam-5956	796	16	∈	∈	PROPN
ejpam-5956	796	17	ξ	ξ	NOUN
ejpam-5956	796	18	}	}	PUNCT
ejpam-5956	796	19	=	=	SYM
ejpam-5956	796	20	fu	fu	ADJ
ejpam-5956	796	21	(	(	PUNCT
ejpam-5956	796	22	q1	q1	PROPN
ejpam-5956	796	23	)	)	PUNCT
ejpam-5956	796	24	⊆	⊆	NUM
ejpam-5956	796	25	intτ	intτ	ADV
ejpam-5956	796	26	(	(	PUNCT
ejpam-5956	796	27	clτ	clτ	NOUN
ejpam-5956	796	28	(	(	PUNCT
ejpam-5956	796	29	fu(cl∗	fu(cl∗	PROPN
ejpam-5956	796	30	(	(	PUNCT
ejpam-5956	796	31	q1	q1	PROPN
ejpam-5956	796	32	,	,	PUNCT
ejpam-5956	796	33	⟨0.31	⟨0.31	PROPN
ejpam-5956	796	34	,	,	PUNCT
ejpam-5956	796	35	0.31	0.31	NUM
ejpam-5956	796	36	,	,	PUNCT
ejpam-5956	796	37	0.18⟩	0.18⟩	NOUN
ejpam-5956	796	38	)	)	PUNCT
ejpam-5956	796	39	)	)	PUNCT
ejpam-5956	796	40	,	,	PUNCT
ejpam-5956	796	41	⟨0.31	⟨0.31	PROPN
ejpam-5956	796	42	,	,	PUNCT
ejpam-5956	796	43	0.31	0.31	NUM
ejpam-5956	796	44	,	,	PUNCT
ejpam-5956	796	45	0.18⟩	0.18⟩	NUM
ejpam-5956	796	46	)	)	PUNCT
ejpam-5956	796	47	,	,	PUNCT
ejpam-5956	796	48	⟨0.31	⟨0.31	PROPN
ejpam-5956	796	49	,	,	PUNCT
ejpam-5956	796	50	0.31	0.31	NUM
ejpam-5956	796	51	,	,	PUNCT
ejpam-5956	796	52	0.18⟩	0.18⟩	NUM
ejpam-5956	796	53	)	)	PUNCT
ejpam-5956	796	54	=	=	SYM
ejpam-5956	797	1	♯	♯	PROPN
ejpam-5956	797	2	,	,	PUNCT
ejpam-5956	797	3	{	{	PUNCT
ejpam-5956	797	4	⟨ξ	⟨ξ	NOUN
ejpam-5956	797	5	,	,	PUNCT
ejpam-5956	797	6	0.2	0.2	NUM
ejpam-5956	797	7	,	,	PUNCT
ejpam-5956	797	8	0.5	0.5	NUM
ejpam-5956	797	9	,	,	PUNCT
ejpam-5956	797	10	0⟩	0⟩	PROPN
ejpam-5956	797	11	|ξ	|ξ	VERB
ejpam-5956	797	12	∈	∈	PROPN
ejpam-5956	797	13	ξ	ξ	NOUN
ejpam-5956	797	14	}	}	PUNCT
ejpam-5956	797	15	=	=	SYM
ejpam-5956	797	16	fl	fl	PROPN
ejpam-5956	797	17	(	(	PUNCT
ejpam-5956	797	18	q1	q1	PROPN
ejpam-5956	797	19	)	)	PUNCT
ejpam-5956	797	20	⊆	⊆	NUM
ejpam-5956	797	21	intτ	intτ	ADV
ejpam-5956	797	22	(	(	PUNCT
ejpam-5956	797	23	clτ	clτ	NOUN
ejpam-5956	797	24	(	(	PUNCT
ejpam-5956	797	25	fl(cl∗	fl(cl∗	PROPN
ejpam-5956	797	26	(	(	PUNCT
ejpam-5956	797	27	q1	q1	PROPN
ejpam-5956	797	28	,	,	PUNCT
ejpam-5956	797	29	⟨0.31	⟨0.31	PROPN
ejpam-5956	797	30	,	,	PUNCT
ejpam-5956	797	31	0.31	0.31	NUM
ejpam-5956	797	32	,	,	PUNCT
ejpam-5956	797	33	0.18⟩	0.18⟩	NOUN
ejpam-5956	797	34	)	)	PUNCT
ejpam-5956	797	35	)	)	PUNCT
ejpam-5956	797	36	,	,	PUNCT
ejpam-5956	797	37	⟨0.31	⟨0.31	PROPN
ejpam-5956	797	38	,	,	PUNCT
ejpam-5956	797	39	0.31	0.31	NUM
ejpam-5956	797	40	,	,	PUNCT
ejpam-5956	797	41	0.18⟩	0.18⟩	NUM
ejpam-5956	797	42	)	)	PUNCT
ejpam-5956	797	43	,	,	PUNCT
ejpam-5956	797	44	⟨0.31	⟨0.31	PROPN
ejpam-5956	797	45	,	,	PUNCT
ejpam-5956	797	46	0.31	0.31	NUM
ejpam-5956	797	47	,	,	PUNCT
ejpam-5956	797	48	0.18⟩	0.18⟩	NUM
ejpam-5956	797	49	)	)	PUNCT
ejpam-5956	797	50	=	=	SYM
ejpam-5956	797	51	♯	♯	PROPN
ejpam-5956	797	52	,	,	PUNCT
ejpam-5956	797	53	but	but	CCONJ
ejpam-5956	797	54	{	{	PUNCT
ejpam-5956	797	55	⟨ξ	⟨ξ	NOUN
ejpam-5956	797	56	,	,	PUNCT
ejpam-5956	797	57	0.2	0.2	NUM
ejpam-5956	797	58	,	,	PUNCT
ejpam-5956	797	59	0.5	0.5	NUM
ejpam-5956	797	60	,	,	PUNCT
ejpam-5956	797	61	0⟩	0⟩	PROPN
ejpam-5956	797	62	|ξ	|ξ	VERB
ejpam-5956	797	63	∈	∈	PROPN
ejpam-5956	797	64	ξ	ξ	NOUN
ejpam-5956	797	65	}	}	PUNCT
ejpam-5956	797	66	=	=	PRON
ejpam-5956	797	67	fu(q1)⊈	fu(q1)⊈	ADV
ejpam-5956	797	68	intτ	intτ	ADV
ejpam-5956	798	1	(	(	PUNCT
ejpam-5956	798	2	fu(cl∗	fu(cl∗	PROPN
ejpam-5956	798	3	(	(	PUNCT
ejpam-5956	798	4	q1	q1	PROPN
ejpam-5956	798	5	,	,	PUNCT
ejpam-5956	798	6	⟨0.31	⟨0.31	PROPN
ejpam-5956	798	7	,	,	PUNCT
ejpam-5956	798	8	0.31	0.31	NUM
ejpam-5956	798	9	,	,	PUNCT
ejpam-5956	798	10	0.18⟩	0.18⟩	NOUN
ejpam-5956	798	11	)	)	PUNCT
ejpam-5956	798	12	)	)	PUNCT
ejpam-5956	798	13	,	,	PUNCT
ejpam-5956	798	14	⟨0.31	⟨0.31	PROPN
ejpam-5956	798	15	,	,	PUNCT
ejpam-5956	798	16	0.31	0.31	NUM
ejpam-5956	798	17	,	,	PUNCT
ejpam-5956	798	18	0.18⟩	0.18⟩	NUM
ejpam-5956	798	19	)	)	PUNCT
ejpam-5956	798	20	=	=	SYM
ejpam-5956	798	21	♭	♭	PROPN
ejpam-5956	798	22	,	,	PUNCT
ejpam-5956	798	23	{	{	PUNCT
ejpam-5956	798	24	⟨ξ	⟨ξ	NOUN
ejpam-5956	798	25	,	,	PUNCT
ejpam-5956	798	26	0.2	0.2	NUM
ejpam-5956	798	27	,	,	PUNCT
ejpam-5956	798	28	0.5	0.5	NUM
ejpam-5956	798	29	,	,	PUNCT
ejpam-5956	798	30	0⟩	0⟩	PROPN
ejpam-5956	798	31	|ξ	|ξ	VERB
ejpam-5956	798	32	∈	∈	PROPN
ejpam-5956	798	33	ξ	ξ	NOUN
ejpam-5956	798	34	}	}	PUNCT
ejpam-5956	798	35	=	=	PUNCT
ejpam-5956	798	36	fl(q1)⊈	fl(q1)⊈	NOUN
ejpam-5956	798	37	intτ	intτ	ADV
ejpam-5956	798	38	(	(	PUNCT
ejpam-5956	798	39	fl(cl∗	fl(cl∗	PROPN
ejpam-5956	798	40	(	(	PUNCT
ejpam-5956	798	41	q1	q1	PROPN
ejpam-5956	798	42	,	,	PUNCT
ejpam-5956	798	43	⟨0.31	⟨0.31	PROPN
ejpam-5956	798	44	,	,	PUNCT
ejpam-5956	798	45	0.31	0.31	NUM
ejpam-5956	798	46	,	,	PUNCT
ejpam-5956	798	47	0.18⟩	0.18⟩	NOUN
ejpam-5956	798	48	)	)	PUNCT
ejpam-5956	798	49	)	)	PUNCT
ejpam-5956	798	50	,	,	PUNCT
ejpam-5956	798	51	⟨0.31	⟨0.31	PROPN
ejpam-5956	798	52	,	,	PUNCT
ejpam-5956	798	53	0.31	0.31	NUM
ejpam-5956	798	54	,	,	PUNCT
ejpam-5956	798	55	0.18⟩	0.18⟩	NUM
ejpam-5956	798	56	)	)	PUNCT
ejpam-5956	798	57	=	=	SYM
ejpam-5956	798	58	♭	♭	PROPN
ejpam-5956	798	59	,	,	PUNCT
ejpam-5956	798	60	theorem	theorem	VERB
ejpam-5956	798	61	3.22	3.22	NUM
ejpam-5956	798	62	.	.	PUNCT
ejpam-5956	799	1	let	let	VERB
ejpam-5956	799	2	f	f	NOUN
ejpam-5956	799	3	:	:	PUNCT
ejpam-5956	799	4	(	(	PUNCT
ejpam-5956	799	5	ξ	ξ	X
ejpam-5956	799	6	,	,	PUNCT
ejpam-5956	799	7	τ	τ	X
ejpam-5956	799	8	)	)	PUNCT
ejpam-5956	799	9	↬	↬	PROPN
ejpam-5956	799	10	(	(	PUNCT
ejpam-5956	799	11	υ	υ	PROPN
ejpam-5956	799	12	,	,	PUNCT
ejpam-5956	799	13	σ	σ	PROPN
ejpam-5956	799	14	,	,	PUNCT
ejpam-5956	799	15	ℓp	ℓp	ADJ
ejpam-5956	799	16	)	)	PUNCT
ejpam-5956	799	17	be	be	AUX
ejpam-5956	799	18	a	a	DET
ejpam-5956	799	19	normalized	normalized	ADJ
ejpam-5956	799	20	pfm	pfm	NOUN
ejpam-5956	799	21	,	,	PUNCT
ejpam-5956	799	22	f	f	X
ejpam-5956	799	23	be	be	VERB
ejpam-5956	799	24	pf	pf	PROPN
ejpam-5956	799	25	uaw	uaw	NOUN
ejpam-5956	799	26	ℓp	ℓp	NOUN
ejpam-5956	799	27	continuous	continuous	ADJ
ejpam-5956	799	28	and	and	CCONJ
ejpam-5956	799	29	pf	pf	NOUN
ejpam-5956	799	30	la	la	PRON
ejpam-5956	799	31	ℓp	ℓp	ADJ
ejpam-5956	799	32	-continuous	-continuous	ADJ
ejpam-5956	799	33	.	.	PUNCT
ejpam-5956	800	1	then	then	ADV
ejpam-5956	800	2	,	,	PUNCT
ejpam-5956	800	3	f	f	PROPN
ejpam-5956	800	4	is	be	AUX
ejpam-5956	800	5	pf	pf	PROPN
ejpam-5956	800	6	uw	uw	PROPN
ejpam-5956	800	7	ℓp	ℓp	ADJ
ejpam-5956	800	8	-continuous	-continuous	ADJ
ejpam-5956	800	9	.	.	PUNCT
ejpam-5956	801	1	proof	proof	NOUN
ejpam-5956	801	2	.	.	PUNCT
ejpam-5956	802	1	let	let	VERB
ejpam-5956	802	2	q	q	PROPN
ejpam-5956	802	3	∈	∈	PROPN
ejpam-5956	802	4	(	(	PUNCT
ejpam-5956	802	5	i3	i3	NOUN
ejpam-5956	802	6	)	)	PUNCT
ejpam-5956	802	7	υwith	υwith	NOUN
ejpam-5956	802	8	σ	σ	PROPN
ejpam-5956	802	9	(	(	PUNCT
ejpam-5956	802	10	q	q	PROPN
ejpam-5956	802	11	)	)	PUNCT
ejpam-5956	802	12	≥	≥	NOUN
ejpam-5956	802	13	⟨ς	⟨ς	NOUN
ejpam-5956	802	14	,	,	PUNCT
ejpam-5956	802	15	κ	κ	NOUN
ejpam-5956	802	16	,	,	PUNCT
ejpam-5956	802	17	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	802	18	and	and	CCONJ
ejpam-5956	802	19	f	f	PROPN
ejpam-5956	802	20	be	be	VERB
ejpam-5956	802	21	pf	pf	PROPN
ejpam-5956	802	22	uaw	uaw	NOUN
ejpam-5956	802	23	ℓp	ℓp	ADJ
ejpam-5956	802	24	-continuous	-continuous	NOUN
ejpam-5956	802	25	.	.	PUNCT
ejpam-5956	803	1	then	then	ADV
ejpam-5956	803	2	,	,	PUNCT
ejpam-5956	803	3	by	by	ADP
ejpam-5956	803	4	theorem	theorem	NOUN
ejpam-5956	803	5	3.21(2	3.21(2	NUM
ejpam-5956	803	6	)	)	PUNCT
ejpam-5956	803	7	,	,	PUNCT
ejpam-5956	803	8	fu	fu	PROPN
ejpam-5956	803	9	(	(	PUNCT
ejpam-5956	803	10	q	q	NOUN
ejpam-5956	803	11	)	)	PUNCT
ejpam-5956	803	12	⊆	⊆	NUM
ejpam-5956	803	13	intτ	intτ	ADV
ejpam-5956	803	14	(	(	PUNCT
ejpam-5956	803	15	clτ	clτ	NOUN
ejpam-5956	803	16	(	(	PUNCT
ejpam-5956	803	17	fu(cl∗	fu(cl∗	PROPN
ejpam-5956	803	18	(	(	PUNCT
ejpam-5956	803	19	q	q	NOUN
ejpam-5956	803	20	,	,	PUNCT
ejpam-5956	803	21	⟨ς	⟨ς	NOUN
ejpam-5956	803	22	,	,	PUNCT
ejpam-5956	803	23	κ	κ	NOUN
ejpam-5956	803	24	,	,	PUNCT
ejpam-5956	803	25	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	803	26	)	)	PUNCT
ejpam-5956	803	27	)	)	PUNCT
ejpam-5956	803	28	,	,	PUNCT
ejpam-5956	803	29	⟨ς	⟨ς	NOUN
ejpam-5956	803	30	,	,	PUNCT
ejpam-5956	803	31	κ	κ	NOUN
ejpam-5956	803	32	,	,	PUNCT
ejpam-5956	803	33	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	803	34	)	)	PUNCT
ejpam-5956	803	35	,	,	PUNCT
ejpam-5956	803	36	⟨ς	⟨ς	NOUN
ejpam-5956	803	37	,	,	PUNCT
ejpam-5956	803	38	κ	κ	NOUN
ejpam-5956	803	39	,	,	PUNCT
ejpam-5956	803	40	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	803	41	)	)	PUNCT
ejpam-5956	803	42	.	.	PUNCT
ejpam-5956	804	1	dali	dali	PROPN
ejpam-5956	804	2	shi	shi	PROPN
ejpam-5956	804	3	et	et	PROPN
ejpam-5956	804	4	al	al	PROPN
ejpam-5956	804	5	.	.	PUNCT
ejpam-5956	804	6	/	/	SYM
ejpam-5956	804	7	eur	eur	PROPN
ejpam-5956	804	8	.	.	PUNCT
ejpam-5956	805	1	j.	j.	PROPN
ejpam-5956	805	2	pure	pure	PROPN
ejpam-5956	805	3	appl	appl	PROPN
ejpam-5956	805	4	.	.	PROPN
ejpam-5956	805	5	math	math	PROPN
ejpam-5956	805	6	,	,	PUNCT
ejpam-5956	805	7	18	18	NUM
ejpam-5956	805	8	(	(	PUNCT
ejpam-5956	805	9	2	2	NUM
ejpam-5956	805	10	)	)	PUNCT
ejpam-5956	805	11	(	(	PUNCT
ejpam-5956	805	12	2025	2025	NUM
ejpam-5956	805	13	)	)	PUNCT
ejpam-5956	805	14	,	,	PUNCT
ejpam-5956	805	15	5956	5956	NUM
ejpam-5956	805	16	28	28	NUM
ejpam-5956	805	17	of	of	ADP
ejpam-5956	805	18	30	30	NUM
ejpam-5956	805	19	since	since	SCONJ
ejpam-5956	805	20	clσ(q	clσ(q	PROPN
ejpam-5956	805	21	,	,	PUNCT
ejpam-5956	805	22	⟨ς	⟨ς	NOUN
ejpam-5956	805	23	,	,	PUNCT
ejpam-5956	805	24	κ	κ	NOUN
ejpam-5956	805	25	,	,	PUNCT
ejpam-5956	805	26	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	805	27	)	)	PUNCT
ejpam-5956	805	28	=	=	PUNCT
ejpam-5956	806	1	clσ(int	clσ(int	PROPN
ejpam-5956	806	2	∗(clσ(q	∗(clσ(q	PROPN
ejpam-5956	806	3	,	,	PUNCT
ejpam-5956	806	4	⟨ς	⟨ς	NOUN
ejpam-5956	806	5	,	,	PUNCT
ejpam-5956	806	6	κ	κ	NOUN
ejpam-5956	806	7	,	,	PUNCT
ejpam-5956	806	8	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	806	9	)	)	PUNCT
ejpam-5956	806	10	,	,	PUNCT
ejpam-5956	806	11	⟨ς	⟨ς	NOUN
ejpam-5956	806	12	,	,	PUNCT
ejpam-5956	806	13	κ	κ	NOUN
ejpam-5956	806	14	,	,	PUNCT
ejpam-5956	806	15	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	806	16	)	)	PUNCT
ejpam-5956	806	17	,	,	PUNCT
ejpam-5956	806	18	⟨ς	⟨ς	NOUN
ejpam-5956	806	19	,	,	PUNCT
ejpam-5956	806	20	κ	κ	NOUN
ejpam-5956	806	21	,	,	PUNCT
ejpam-5956	806	22	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	806	23	)	)	PUNCT
ejpam-5956	806	24	,	,	PUNCT
ejpam-5956	806	25	it	it	PRON
ejpam-5956	806	26	follows	follow	VERB
ejpam-5956	806	27	from	from	ADP
ejpam-5956	806	28	theorem	theorem	NOUN
ejpam-5956	806	29	3.8(2	3.8(2	NUM
ejpam-5956	806	30	)	)	PUNCT
ejpam-5956	807	1	that	that	PRON
ejpam-5956	807	2	τ	τ	PROPN
ejpam-5956	807	3	(	(	PUNCT
ejpam-5956	807	4	ⅎfu	ⅎfu	NOUN
ejpam-5956	807	5	(	(	PUNCT
ejpam-5956	807	6	clσ	clσ	PROPN
ejpam-5956	807	7	(	(	PUNCT
ejpam-5956	807	8	q	q	NOUN
ejpam-5956	807	9	,	,	PUNCT
ejpam-5956	807	10	⟨ς	⟨ς	NOUN
ejpam-5956	807	11	,	,	PUNCT
ejpam-5956	807	12	κ	κ	NOUN
ejpam-5956	807	13	,	,	PUNCT
ejpam-5956	807	14	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	807	15	)	)	PUNCT
ejpam-5956	807	16	)	)	PUNCT
ejpam-5956	807	17	)	)	PUNCT
ejpam-5956	807	18	≥	≥	NUM
ejpam-5956	807	19	⟨ς	⟨ς	NOUN
ejpam-5956	807	20	,	,	PUNCT
ejpam-5956	807	21	κ	κ	NOUN
ejpam-5956	807	22	,	,	PUNCT
ejpam-5956	807	23	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	807	24	,	,	PUNCT
ejpam-5956	807	25	then	then	ADV
ejpam-5956	807	26	τ	τ	PROPN
ejpam-5956	807	27	(	(	PUNCT
ejpam-5956	807	28	ⅎfu	ⅎfu	NOUN
ejpam-5956	807	29	(	(	PUNCT
ejpam-5956	807	30	cl∗	cl∗	PROPN
ejpam-5956	807	31	(	(	PUNCT
ejpam-5956	807	32	q	q	NOUN
ejpam-5956	807	33	,	,	PUNCT
ejpam-5956	807	34	⟨ς	⟨ς	NOUN
ejpam-5956	807	35	,	,	PUNCT
ejpam-5956	807	36	κ	κ	NOUN
ejpam-5956	807	37	,	,	PUNCT
ejpam-5956	807	38	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	807	39	)	)	PUNCT
ejpam-5956	807	40	)	)	PUNCT
ejpam-5956	807	41	)	)	PUNCT
ejpam-5956	807	42	≥	≥	NUM
ejpam-5956	807	43	⟨ς	⟨ς	NOUN
ejpam-5956	807	44	,	,	PUNCT
ejpam-5956	807	45	κ	κ	NOUN
ejpam-5956	807	46	,	,	PUNCT
ejpam-5956	807	47	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	807	48	,	,	PUNCT
ejpam-5956	807	49	and	and	CCONJ
ejpam-5956	807	50	fu	fu	NOUN
ejpam-5956	807	51	(	(	PUNCT
ejpam-5956	807	52	q	q	NOUN
ejpam-5956	807	53	)	)	PUNCT
ejpam-5956	807	54	⊆	⊆	NUM
ejpam-5956	807	55	intτ	intτ	ADV
ejpam-5956	807	56	(	(	PUNCT
ejpam-5956	807	57	fu(cl∗	fu(cl∗	X
ejpam-5956	807	58	(	(	PUNCT
ejpam-5956	807	59	q	q	NOUN
ejpam-5956	807	60	,	,	PUNCT
ejpam-5956	807	61	⟨ς	⟨ς	NOUN
ejpam-5956	807	62	,	,	PUNCT
ejpam-5956	807	63	κ	κ	NOUN
ejpam-5956	807	64	,	,	PUNCT
ejpam-5956	807	65	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	807	66	)	)	PUNCT
ejpam-5956	807	67	)	)	PUNCT
ejpam-5956	807	68	,	,	PUNCT
ejpam-5956	807	69	⟨ς	⟨ς	NOUN
ejpam-5956	807	70	,	,	PUNCT
ejpam-5956	807	71	κ	κ	NOUN
ejpam-5956	807	72	,	,	PUNCT
ejpam-5956	807	73	ϑ⟩	ϑ⟩	NOUN
ejpam-5956	807	74	)	)	PUNCT
ejpam-5956	807	75	.	.	PUNCT
ejpam-5956	808	1	thus	thus	ADV
ejpam-5956	808	2	,	,	PUNCT
ejpam-5956	808	3	by	by	ADP
ejpam-5956	808	4	theorem	theorem	NOUN
ejpam-5956	808	5	3.4	3.4	NUM
ejpam-5956	808	6	,	,	PUNCT
ejpam-5956	808	7	f	f	PROPN
ejpam-5956	808	8	is	be	AUX
ejpam-5956	808	9	pf	pf	PROPN
ejpam-5956	808	10	uw	uw	PROPN
ejpam-5956	808	11	ℓp	ℓp	NOUN
ejpam-5956	808	12	continuous	continuous	ADJ
ejpam-5956	808	13	.	.	PUNCT
ejpam-5956	809	1	the	the	DET
ejpam-5956	809	2	following	follow	VERB
ejpam-5956	809	3	theorem	theorem	NOUN
ejpam-5956	809	4	is	be	AUX
ejpam-5956	809	5	similarly	similarly	ADV
ejpam-5956	809	6	proved	prove	VERB
ejpam-5956	809	7	as	as	ADP
ejpam-5956	809	8	the	the	DET
ejpam-5956	809	9	proof	proof	NOUN
ejpam-5956	809	10	of	of	ADP
ejpam-5956	809	11	theorem	theorem	ADJ
ejpam-5956	809	12	3.22	3.22	NUM
ejpam-5956	809	13	.	.	PUNCT
ejpam-5956	810	1	theorem	theorem	NOUN
ejpam-5956	810	2	3.23	3.23	NUM
ejpam-5956	810	3	.	.	PUNCT
ejpam-5956	811	1	let	let	VERB
ejpam-5956	811	2	f	f	NOUN
ejpam-5956	811	3	:	:	PUNCT
ejpam-5956	811	4	(	(	PUNCT
ejpam-5956	811	5	ξ	ξ	X
ejpam-5956	811	6	,	,	PUNCT
ejpam-5956	811	7	τ	τ	X
ejpam-5956	811	8	)	)	PUNCT
ejpam-5956	811	9	↬	↬	PROPN
ejpam-5956	811	10	(	(	PUNCT
ejpam-5956	811	11	υ	υ	PROPN
ejpam-5956	811	12	,	,	PUNCT
ejpam-5956	811	13	σ	σ	PROPN
ejpam-5956	811	14	,	,	PUNCT
ejpam-5956	811	15	ℓp	ℓp	ADJ
ejpam-5956	811	16	)	)	PUNCT
ejpam-5956	811	17	be	be	AUX
ejpam-5956	811	18	a	a	DET
ejpam-5956	811	19	normalized	normalized	ADJ
ejpam-5956	811	20	pfm	pfm	NOUN
ejpam-5956	811	21	,	,	PUNCT
ejpam-5956	811	22	f	f	X
ejpam-5956	811	23	be	be	AUX
ejpam-5956	811	24	pf	pf	PROPN
ejpam-5956	811	25	law	law	NOUN
ejpam-5956	811	26	ℓp	ℓp	NOUN
ejpam-5956	811	27	continuous	continuous	ADJ
ejpam-5956	811	28	and	and	CCONJ
ejpam-5956	811	29	pf	pf	NOUN
ejpam-5956	811	30	ua	ua	NOUN
ejpam-5956	811	31	ℓp	ℓp	ADJ
ejpam-5956	811	32	-continuous	-continuous	PROPN
ejpam-5956	811	33	.	.	PUNCT
ejpam-5956	812	1	then	then	ADV
ejpam-5956	812	2	,	,	PUNCT
ejpam-5956	812	3	f	f	PROPN
ejpam-5956	812	4	is	be	AUX
ejpam-5956	812	5	pf	pf	PROPN
ejpam-5956	812	6	lw	lw	NOUN
ejpam-5956	812	7	ℓp	ℓp	ADJ
ejpam-5956	812	8	-continuous	-continuous	ADJ
ejpam-5956	812	9	.	.	PUNCT
ejpam-5956	813	1	4	4	X
ejpam-5956	813	2	.	.	X
ejpam-5956	813	3	conclusion	conclusion	NOUN
ejpam-5956	813	4	in	in	ADP
ejpam-5956	813	5	this	this	DET
ejpam-5956	813	6	paper	paper	NOUN
ejpam-5956	813	7	,	,	PUNCT
ejpam-5956	813	8	we	we	PRON
ejpam-5956	813	9	introduced	introduce	VERB
ejpam-5956	813	10	a	a	DET
ejpam-5956	813	11	definition	definition	NOUN
ejpam-5956	813	12	of	of	ADP
ejpam-5956	813	13	picture	picture	NOUN
ejpam-5956	813	14	fuzzy	fuzzy	ADJ
ejpam-5956	813	15	implication	implication	NOUN
ejpam-5956	813	16	operation	operation	NOUN
ejpam-5956	813	17	in	in	ADP
ejpam-5956	813	18	pfss	pfss	NOUN
ejpam-5956	813	19	.	.	PUNCT
ejpam-5956	814	1	two	two	NUM
ejpam-5956	814	2	operations	operation	NOUN
ejpam-5956	814	3	based	base	VERB
ejpam-5956	814	4	on	on	ADP
ejpam-5956	814	5	the	the	DET
ejpam-5956	814	6	product	product	NOUN
ejpam-5956	814	7	form	form	NOUN
ejpam-5956	814	8	of	of	ADP
ejpam-5956	814	9	the	the	DET
ejpam-5956	814	10	essential	essential	ADJ
ejpam-5956	814	11	degrees	degree	NOUN
ejpam-5956	814	12	of	of	ADP
ejpam-5956	814	13	positivism	positivism	NOUN
ejpam-5956	814	14	,	,	PUNCT
ejpam-5956	814	15	negativism	negativism	NOUN
ejpam-5956	814	16	and	and	CCONJ
ejpam-5956	814	17	neutralism	neutralism	NOUN
ejpam-5956	814	18	are	be	AUX
ejpam-5956	814	19	investigated	investigate	VERB
ejpam-5956	814	20	.	.	PUNCT
ejpam-5956	815	1	two	two	NUM
ejpam-5956	815	2	other	other	ADJ
ejpam-5956	815	3	operations	operation	NOUN
ejpam-5956	815	4	in	in	ADP
ejpam-5956	815	5	(	(	PUNCT
ejpam-5956	815	6	pfss	pfss	NOUN
ejpam-5956	815	7	)	)	PUNCT
ejpam-5956	815	8	are	be	AUX
ejpam-5956	815	9	established	establish	VERB
ejpam-5956	815	10	based	base	VERB
ejpam-5956	815	11	on	on	ADP
ejpam-5956	815	12	the	the	DET
ejpam-5956	815	13	sum	sum	NOUN
ejpam-5956	815	14	and	and	CCONJ
ejpam-5956	815	15	the	the	DET
ejpam-5956	815	16	product	product	NOUN
ejpam-5956	815	17	of	of	ADP
ejpam-5956	815	18	these	these	DET
ejpam-5956	815	19	essential	essential	ADJ
ejpam-5956	815	20	degrees	degree	NOUN
ejpam-5956	815	21	.	.	PUNCT
ejpam-5956	816	1	depending	depend	VERB
ejpam-5956	816	2	on	on	ADP
ejpam-5956	816	3	the	the	DET
ejpam-5956	816	4	previous	previous	ADJ
ejpam-5956	816	5	four	four	NUM
ejpam-5956	816	6	picture	picture	NOUN
ejpam-5956	816	7	fuzzy	fuzzy	ADJ
ejpam-5956	816	8	operations	operation	NOUN
ejpam-5956	816	9	,	,	PUNCT
ejpam-5956	816	10	we	we	PRON
ejpam-5956	816	11	defined	define	VERB
ejpam-5956	816	12	four	four	NUM
ejpam-5956	816	13	pfmtss	pfmtss	NOUN
ejpam-5956	816	14	over	over	ADP
ejpam-5956	816	15	pfss	pfss	NOUN
ejpam-5956	816	16	.	.	PUNCT
ejpam-5956	817	1	although	although	SCONJ
ejpam-5956	817	2	the	the	DET
ejpam-5956	817	3	variety	variety	NOUN
ejpam-5956	817	4	of	of	ADP
ejpam-5956	817	5	objects	object	NOUN
ejpam-5956	817	6	defined	define	VERB
ejpam-5956	817	7	in	in	ADP
ejpam-5956	817	8	this	this	DET
ejpam-5956	817	9	paper	paper	NOUN
ejpam-5956	817	10	,	,	PUNCT
ejpam-5956	817	11	all	all	DET
ejpam-5956	817	12	structures	structure	NOUN
ejpam-5956	817	13	defined	define	VERB
ejpam-5956	817	14	here	here	ADV
ejpam-5956	817	15	did	do	AUX
ejpam-5956	817	16	not	not	PART
ejpam-5956	817	17	satisfy	satisfy	VERB
ejpam-5956	817	18	some	some	PRON
ejpam-5956	817	19	of	of	ADP
ejpam-5956	817	20	the	the	DET
ejpam-5956	817	21	kuratowski	kuratowski	ADJ
ejpam-5956	817	22	closure	closure	NOUN
ejpam-5956	817	23	conditions	condition	NOUN
ejpam-5956	817	24	or	or	CCONJ
ejpam-5956	817	25	the	the	DET
ejpam-5956	817	26	kuratowski	kuratowski	ADJ
ejpam-5956	817	27	interior	interior	ADJ
ejpam-5956	817	28	conditions	condition	NOUN
ejpam-5956	817	29	.	.	PUNCT
ejpam-5956	818	1	these	these	DET
ejpam-5956	818	2	constructed	construct	VERB
ejpam-5956	818	3	structures	structure	NOUN
ejpam-5956	818	4	are	be	AUX
ejpam-5956	818	5	called	call	VERB
ejpam-5956	818	6	"	"	PUNCT
ejpam-5956	818	7	feeble	feeble	ADJ
ejpam-5956	818	8	"	"	PUNCT
ejpam-5956	818	9	(	(	PUNCT
ejpam-5956	818	10	pffmtss	pffmtss	NOUN
ejpam-5956	818	11	)	)	PUNCT
ejpam-5956	818	12	standing	stand	VERB
ejpam-5956	818	13	for	for	ADP
ejpam-5956	818	14	not	not	PART
ejpam-5956	818	15	all	all	DET
ejpam-5956	818	16	required	require	VERB
ejpam-5956	818	17	conditions	condition	NOUN
ejpam-5956	818	18	for	for	ADP
ejpam-5956	818	19	a	a	DET
ejpam-5956	818	20	topological	topological	ADJ
ejpam-5956	818	21	(	(	PUNCT
ejpam-5956	818	22	closure	closure	NOUN
ejpam-5956	818	23	or	or	CCONJ
ejpam-5956	818	24	interior	interior	ADJ
ejpam-5956	818	25	)	)	PUNCT
ejpam-5956	818	26	operator	operator	NOUN
ejpam-5956	818	27	are	be	AUX
ejpam-5956	818	28	satisfied	satisfied	ADJ
ejpam-5956	818	29	.	.	PUNCT
ejpam-5956	819	1	still	still	ADV
ejpam-5956	819	2	,	,	PUNCT
ejpam-5956	819	3	based	base	VERB
ejpam-5956	819	4	on	on	ADP
ejpam-5956	819	5	the	the	DET
ejpam-5956	819	6	simple	simple	ADJ
ejpam-5956	819	7	operations	operation	NOUN
ejpam-5956	819	8	□	□	PUNCT
ejpam-5956	819	9	and	and	CCONJ
ejpam-5956	819	10	3	3	NUM
ejpam-5956	819	11	,	,	PUNCT
ejpam-5956	819	12	we	we	PRON
ejpam-5956	819	13	got	get	VERB
ejpam-5956	819	14	accurate	accurate	ADJ
ejpam-5956	819	15	definitions	definition	NOUN
ejpam-5956	819	16	of	of	ADP
ejpam-5956	819	17	"	"	PUNCT
ejpam-5956	819	18	closure	closure	NOUN
ejpam-5956	819	19	"	"	PUNCT
ejpam-5956	819	20	and	and	CCONJ
ejpam-5956	819	21	"	"	PUNCT
ejpam-5956	819	22	interior	interior	ADJ
ejpam-5956	819	23	"	"	PUNCT
ejpam-5956	819	24	operators	operator	NOUN
ejpam-5956	819	25	for	for	ADP
ejpam-5956	819	26	pfmtss	pfmtss	PROPN
ejpam-5956	819	27	.	.	PUNCT
ejpam-5956	820	1	so	so	ADV
ejpam-5956	820	2	,	,	PUNCT
ejpam-5956	820	3	□	□	PUNCT
ejpam-5956	820	4	and	and	CCONJ
ejpam-5956	820	5	3	3	NUM
ejpam-5956	820	6	are	be	AUX
ejpam-5956	820	7	the	the	DET
ejpam-5956	820	8	standard	standard	ADJ
ejpam-5956	820	9	two	two	NUM
ejpam-5956	820	10	modal	modal	ADJ
ejpam-5956	820	11	operators	operator	NOUN
ejpam-5956	820	12	over	over	ADP
ejpam-5956	820	13	pfss	pfss	NOUN
ejpam-5956	820	14	introducing	introduce	VERB
ejpam-5956	820	15	two	two	NUM
ejpam-5956	820	16	pfmtss	pfmtss	NOUN
ejpam-5956	820	17	.	.	PUNCT
ejpam-5956	821	1	in	in	ADP
ejpam-5956	821	2	future	future	ADJ
ejpam-5956	821	3	research	research	NOUN
ejpam-5956	821	4	work	work	NOUN
ejpam-5956	821	5	,	,	PUNCT
ejpam-5956	821	6	we	we	PRON
ejpam-5956	821	7	will	will	AUX
ejpam-5956	821	8	extend	extend	VERB
ejpam-5956	821	9	the	the	DET
ejpam-5956	821	10	work	work	NOUN
ejpam-5956	821	11	to	to	ADP
ejpam-5956	821	12	some	some	DET
ejpam-5956	821	13	other	other	ADJ
ejpam-5956	821	14	fuzzy	fuzzy	ADJ
ejpam-5956	821	15	environment	environment	NOUN
ejpam-5956	821	16	and	and	CCONJ
ejpam-5956	821	17	derive	derive	VERB
ejpam-5956	821	18	some	some	DET
ejpam-5956	821	19	more	more	ADJ
ejpam-5956	821	20	properties	property	NOUN
ejpam-5956	821	21	for	for	ADP
ejpam-5956	821	22	different	different	ADJ
ejpam-5956	821	23	topological	topological	ADJ
ejpam-5956	821	24	spaces	space	NOUN
ejpam-5956	821	25	.	.	PUNCT
ejpam-5956	822	1	further	far	ADV
ejpam-5956	822	2	,	,	PUNCT
ejpam-5956	822	3	we	we	PRON
ejpam-5956	822	4	will	will	AUX
ejpam-5956	822	5	expand	expand	VERB
ejpam-5956	822	6	our	our	PRON
ejpam-5956	822	7	work	work	NOUN
ejpam-5956	822	8	to	to	PART
ejpam-5956	822	9	consider	consider	VERB
ejpam-5956	822	10	the	the	DET
ejpam-5956	822	11	picture	picture	NOUN
ejpam-5956	822	12	topological	topological	ADJ
ejpam-5956	822	13	space	space	NOUN
ejpam-5956	822	14	to	to	PART
ejpam-5956	822	15	be	be	AUX
ejpam-5956	822	16	temporal	temporal	ADJ
ejpam-5956	822	17	as	as	ADV
ejpam-5956	822	18	well	well	ADV
ejpam-5956	822	19	as	as	ADP
ejpam-5956	822	20	in	in	ADP
ejpam-5956	822	21	the	the	DET
ejpam-5956	822	22	corresponding	corresponding	ADJ
ejpam-5956	822	23	results	result	NOUN
ejpam-5956	822	24	.	.	PUNCT
ejpam-5956	823	1	conflicts	conflict	NOUN
ejpam-5956	823	2	of	of	ADP
ejpam-5956	823	3	interest	interest	NOUN
ejpam-5956	823	4	:	:	PUNCT
ejpam-5956	823	5	the	the	DET
ejpam-5956	823	6	authors	author	NOUN
ejpam-5956	823	7	declare	declare	VERB
ejpam-5956	823	8	that	that	SCONJ
ejpam-5956	823	9	they	they	PRON
ejpam-5956	823	10	have	have	VERB
ejpam-5956	823	11	not	not	PART
ejpam-5956	823	12	any	any	DET
ejpam-5956	823	13	conflicts	conflict	NOUN
ejpam-5956	823	14	of	of	ADP
ejpam-5956	823	15	interest	interest	NOUN
ejpam-5956	823	16	.	.	PUNCT
ejpam-5956	824	1	data	datum	NOUN
ejpam-5956	824	2	availability	availability	NOUN
ejpam-5956	824	3	statement	statement	NOUN
ejpam-5956	824	4	:	:	PUNCT
ejpam-5956	824	5	the	the	DET
ejpam-5956	824	6	data	data	NOUN
ejpam-5956	824	7	sets	set	NOUN
ejpam-5956	824	8	used	use	VERB
ejpam-5956	824	9	and/or	and/or	CCONJ
ejpam-5956	824	10	analysed	analyse	VERB
ejpam-5956	824	11	during	during	ADP
ejpam-5956	824	12	the	the	DET
ejpam-5956	824	13	current	current	ADJ
ejpam-5956	824	14	study	study	NOUN
ejpam-5956	824	15	are	be	AUX
ejpam-5956	824	16	available	available	ADJ
ejpam-5956	824	17	from	from	ADP
ejpam-5956	824	18	the	the	DET
ejpam-5956	824	19	corresponding	corresponding	ADJ
ejpam-5956	824	20	author	author	NOUN
ejpam-5956	824	21	upon	upon	SCONJ
ejpam-5956	824	22	reasonable	reasonable	ADJ
ejpam-5956	824	23	request	request	NOUN
ejpam-5956	824	24	.	.	PUNCT
ejpam-5956	825	1	references	reference	NOUN
ejpam-5956	825	2	[	[	X
ejpam-5956	825	3	1	1	NUM
ejpam-5956	825	4	]	]	PUNCT
ejpam-5956	825	5	lotfi	lotfi	PROPN
ejpam-5956	825	6	asker	asker	PROPN
ejpam-5956	825	7	zadeh	zadeh	PROPN
ejpam-5956	825	8	.	.	PUNCT
ejpam-5956	825	9	fuzzy	fuzzy	ADJ
ejpam-5956	825	10	sets	set	NOUN
ejpam-5956	825	11	.	.	PUNCT
ejpam-5956	826	1	information	information	NOUN
ejpam-5956	826	2	and	and	CCONJ
ejpam-5956	826	3	control	control	NOUN
ejpam-5956	826	4	,	,	PUNCT
ejpam-5956	826	5	8(3):338–353	8(3):338–353	NUM
ejpam-5956	826	6	,	,	PUNCT
ejpam-5956	826	7	1965	1965	NUM
ejpam-5956	826	8	.	.	PUNCT
ejpam-5956	827	1	[	[	X
ejpam-5956	827	2	2	2	X
ejpam-5956	827	3	]	]	PUNCT
ejpam-5956	827	4	krassimir	krassimir	NOUN
ejpam-5956	827	5	atanassov	atanassov	PROPN
ejpam-5956	827	6	.	.	PUNCT
ejpam-5956	828	1	intuitionistic	intuitionistic	ADJ
ejpam-5956	828	2	fuzzy	fuzzy	ADJ
ejpam-5956	828	3	modal	modal	ADJ
ejpam-5956	828	4	topological	topological	ADJ
ejpam-5956	828	5	structure	structure	NOUN
ejpam-5956	828	6	.	.	PUNCT
ejpam-5956	829	1	mathematics	mathematic	NOUN
ejpam-5956	829	2	,	,	PUNCT
ejpam-5956	829	3	10(18):3313	10(18):3313	NUM
ejpam-5956	829	4	,	,	PUNCT
ejpam-5956	829	5	2022	2022	NUM
ejpam-5956	829	6	.	.	PUNCT
ejpam-5956	830	1	dali	dali	PROPN
ejpam-5956	830	2	shi	shi	PROPN
ejpam-5956	830	3	et	et	PROPN
ejpam-5956	830	4	al	al	PROPN
ejpam-5956	830	5	.	.	PUNCT
ejpam-5956	830	6	/	/	SYM
ejpam-5956	830	7	eur	eur	PROPN
ejpam-5956	830	8	.	.	PUNCT
ejpam-5956	831	1	j.	j.	PROPN
ejpam-5956	831	2	pure	pure	PROPN
ejpam-5956	831	3	appl	appl	PROPN
ejpam-5956	831	4	.	.	PROPN
ejpam-5956	831	5	math	math	PROPN
ejpam-5956	831	6	,	,	PUNCT
ejpam-5956	831	7	18	18	NUM
ejpam-5956	831	8	(	(	PUNCT
ejpam-5956	831	9	2	2	NUM
ejpam-5956	831	10	)	)	PUNCT
ejpam-5956	831	11	(	(	PUNCT
ejpam-5956	831	12	2025	2025	NUM
ejpam-5956	831	13	)	)	PUNCT
ejpam-5956	831	14	,	,	PUNCT
ejpam-5956	831	15	5956	5956	NUM
ejpam-5956	831	16	29	29	NUM
ejpam-5956	831	17	of	of	ADP
ejpam-5956	831	18	30	30	NUM
ejpam-5956	831	19	[	[	SYM
ejpam-5956	831	20	3	3	NUM
ejpam-5956	831	21	]	]	X
ejpam-5956	831	22	b.	b.	PROPN
ejpam-5956	831	23	c.	c.	PROPN
ejpam-5956	831	24	cuong	cuong	PROPN
ejpam-5956	831	25	.	.	PUNCT
ejpam-5956	832	1	picture	picture	NOUN
ejpam-5956	832	2	fuzzy	fuzzy	ADJ
ejpam-5956	832	3	sets	set	NOUN
ejpam-5956	832	4	.	.	PUNCT
ejpam-5956	833	1	journal	journal	NOUN
ejpam-5956	833	2	of	of	ADP
ejpam-5956	833	3	computer	computer	NOUN
ejpam-5956	833	4	science	science	NOUN
ejpam-5956	833	5	and	and	CCONJ
ejpam-5956	833	6	cybernetics	cybernetic	NOUN
ejpam-5956	833	7	,	,	PUNCT
ejpam-5956	833	8	30(4):409–409	30(4):409–409	PROPN
ejpam-5956	833	9	,	,	PUNCT
ejpam-5956	833	10	2014	2014	NUM
ejpam-5956	833	11	.	.	PUNCT
ejpam-5956	834	1	[	[	X
ejpam-5956	834	2	4	4	X
ejpam-5956	834	3	]	]	PUNCT
ejpam-5956	834	4	kt	kt	X
ejpam-5956	834	5	atanassov	atanassov	PROPN
ejpam-5956	834	6	and	and	CCONJ
ejpam-5956	834	7	r	r	NOUN
ejpam-5956	834	8	tsvetkov	tsvetkov	NOUN
ejpam-5956	834	9	.	.	PUNCT
ejpam-5956	835	1	new	new	ADJ
ejpam-5956	835	2	intuitionistic	intuitionistic	ADJ
ejpam-5956	835	3	fuzzy	fuzzy	ADJ
ejpam-5956	835	4	operations	operation	NOUN
ejpam-5956	835	5	,	,	PUNCT
ejpam-5956	835	6	operators	operator	NOUN
ejpam-5956	835	7	and	and	CCONJ
ejpam-5956	835	8	topological	topological	ADJ
ejpam-5956	835	9	structures	structure	NOUN
ejpam-5956	835	10	.	.	PUNCT
ejpam-5956	836	1	iranian	iranian	ADJ
ejpam-5956	836	2	journal	journal	PROPN
ejpam-5956	836	3	of	of	ADP
ejpam-5956	836	4	fuzzy	fuzzy	ADJ
ejpam-5956	836	5	systems	system	NOUN
ejpam-5956	836	6	,	,	PUNCT
ejpam-5956	836	7	20(7):37–53	20(7):37–53	NUM
ejpam-5956	836	8	,	,	PUNCT
ejpam-5956	836	9	2023	2023	NUM
ejpam-5956	836	10	.	.	PUNCT
ejpam-5956	837	1	[	[	X
ejpam-5956	837	2	5	5	NUM
ejpam-5956	837	3	]	]	PUNCT
ejpam-5956	837	4	adem	adem	PROPN
ejpam-5956	837	5	yolcu	yolcu	PROPN
ejpam-5956	837	6	,	,	PUNCT
ejpam-5956	837	7	florentin	florentin	NOUN
ejpam-5956	837	8	smarandache	smarandache	NOUN
ejpam-5956	837	9	,	,	PUNCT
ejpam-5956	837	10	and	and	CCONJ
ejpam-5956	837	11	taha	taha	PROPN
ejpam-5956	837	12	yasin	yasin	PROPN
ejpam-5956	837	13	öztürk	öztürk	PROPN
ejpam-5956	837	14	.	.	PUNCT
ejpam-5956	838	1	intuitionistic	intuitionistic	ADJ
ejpam-5956	838	2	fuzzy	fuzzy	ADJ
ejpam-5956	838	3	hypersoft	hypersoft	NOUN
ejpam-5956	838	4	sets	set	NOUN
ejpam-5956	838	5	.	.	PUNCT
ejpam-5956	839	1	communications	communication	NOUN
ejpam-5956	839	2	faculty	faculty	NOUN
ejpam-5956	839	3	of	of	ADP
ejpam-5956	839	4	sciences	sciences	PROPN
ejpam-5956	839	5	university	university	PROPN
ejpam-5956	839	6	of	of	ADP
ejpam-5956	839	7	ankara	ankara	PROPN
ejpam-5956	839	8	series	series	PROPN
ejpam-5956	839	9	a1	a1	PROPN
ejpam-5956	839	10	mathematics	mathematic	NOUN
ejpam-5956	839	11	and	and	CCONJ
ejpam-5956	839	12	statistics	statistic	NOUN
ejpam-5956	839	13	,	,	PUNCT
ejpam-5956	839	14	70(1):443–455	70(1):443–455	NUM
ejpam-5956	839	15	,	,	PUNCT
ejpam-5956	839	16	2021	2021	NUM
ejpam-5956	839	17	.	.	PUNCT
ejpam-5956	840	1	[	[	X
ejpam-5956	840	2	6	6	NUM
ejpam-5956	840	3	]	]	X
ejpam-5956	840	4	murat	murat	PROPN
ejpam-5956	840	5	olgun	olgun	PROPN
ejpam-5956	840	6	,	,	PUNCT
ejpam-5956	840	7	mehmet	mehmet	PROPN
ejpam-5956	840	8	ünver	ünver	PROPN
ejpam-5956	840	9	,	,	PUNCT
ejpam-5956	840	10	and	and	CCONJ
ejpam-5956	840	11	şeyhmus	şeyhmus	ADJ
ejpam-5956	840	12	yardımcı	yardımcı	PROPN
ejpam-5956	840	13	.	.	PUNCT
ejpam-5956	841	1	pythagorean	pythagorean	PROPN
ejpam-5956	841	2	fuzzy	fuzzy	ADJ
ejpam-5956	841	3	points	point	NOUN
ejpam-5956	841	4	and	and	CCONJ
ejpam-5956	841	5	applications	application	NOUN
ejpam-5956	841	6	in	in	ADP
ejpam-5956	841	7	pattern	pattern	NOUN
ejpam-5956	841	8	recognition	recognition	NOUN
ejpam-5956	841	9	and	and	CCONJ
ejpam-5956	841	10	pythagorean	pythagorean	PROPN
ejpam-5956	841	11	fuzzy	fuzzy	ADJ
ejpam-5956	841	12	topologies	topology	NOUN
ejpam-5956	841	13	.	.	PUNCT
ejpam-5956	842	1	soft	soft	ADJ
ejpam-5956	842	2	computing	computing	NOUN
ejpam-5956	842	3	,	,	PUNCT
ejpam-5956	842	4	25(7):5225–5232	25(7):5225–5232	NOUN
ejpam-5956	842	5	,	,	PUNCT
ejpam-5956	842	6	2021	2021	NUM
ejpam-5956	842	7	.	.	PUNCT
ejpam-5956	843	1	[	[	X
ejpam-5956	843	2	7	7	X
ejpam-5956	843	3	]	]	X
ejpam-5956	843	4	shahzaib	shahzaib	NOUN
ejpam-5956	843	5	ashraf	ashraf	PROPN
ejpam-5956	843	6	,	,	PUNCT
ejpam-5956	843	7	saleem	saleem	PROPN
ejpam-5956	843	8	abdullah	abdullah	PROPN
ejpam-5956	843	9	,	,	PUNCT
ejpam-5956	843	10	tahir	tahir	PROPN
ejpam-5956	843	11	mahmood	mahmood	PROPN
ejpam-5956	843	12	,	,	PUNCT
ejpam-5956	843	13	fazal	fazal	PROPN
ejpam-5956	843	14	ghani	ghani	PROPN
ejpam-5956	843	15	,	,	PUNCT
ejpam-5956	843	16	and	and	CCONJ
ejpam-5956	843	17	tariq	tariq	PROPN
ejpam-5956	843	18	mahmood	mahmood	PROPN
ejpam-5956	843	19	.	.	PUNCT
ejpam-5956	844	1	spherical	spherical	ADJ
ejpam-5956	844	2	fuzzy	fuzzy	ADJ
ejpam-5956	844	3	sets	set	NOUN
ejpam-5956	844	4	and	and	CCONJ
ejpam-5956	844	5	their	their	PRON
ejpam-5956	844	6	applications	application	NOUN
ejpam-5956	844	7	in	in	ADP
ejpam-5956	844	8	multi	multi	ADJ
ejpam-5956	844	9	-	-	ADJ
ejpam-5956	844	10	attribute	attribute	NOUN
ejpam-5956	844	11	decision	decision	NOUN
ejpam-5956	844	12	making	make	VERB
ejpam-5956	844	13	problems	problem	NOUN
ejpam-5956	844	14	.	.	PUNCT
ejpam-5956	845	1	journal	journal	NOUN
ejpam-5956	845	2	of	of	ADP
ejpam-5956	845	3	intelligent	intelligent	ADJ
ejpam-5956	845	4	&	&	CCONJ
ejpam-5956	845	5	fuzzy	fuzzy	ADJ
ejpam-5956	845	6	systems	system	NOUN
ejpam-5956	845	7	,	,	PUNCT
ejpam-5956	845	8	36(3):2829–2844	36(3):2829–2844	NUM
ejpam-5956	845	9	,	,	PUNCT
ejpam-5956	845	10	2019	2019	NUM
ejpam-5956	845	11	.	.	PUNCT
ejpam-5956	846	1	[	[	X
ejpam-5956	846	2	8	8	X
ejpam-5956	846	3	]	]	X
ejpam-5956	846	4	fatma	fatma	PROPN
ejpam-5956	846	5	kutlu	kutlu	PROPN
ejpam-5956	846	6	gündoğdu	gündoğdu	PROPN
ejpam-5956	846	7	and	and	CCONJ
ejpam-5956	846	8	cengiz	cengiz	PROPN
ejpam-5956	846	9	kahraman	kahraman	NOUN
ejpam-5956	846	10	.	.	PUNCT
ejpam-5956	847	1	spherical	spherical	ADJ
ejpam-5956	847	2	fuzzy	fuzzy	ADJ
ejpam-5956	847	3	sets	set	NOUN
ejpam-5956	847	4	and	and	CCONJ
ejpam-5956	847	5	spherical	spherical	ADJ
ejpam-5956	847	6	fuzzy	fuzzy	ADJ
ejpam-5956	847	7	topsis	topsis	NOUN
ejpam-5956	847	8	method	method	NOUN
ejpam-5956	847	9	.	.	PUNCT
ejpam-5956	848	1	journal	journal	NOUN
ejpam-5956	848	2	of	of	ADP
ejpam-5956	848	3	intelligent	intelligent	ADJ
ejpam-5956	848	4	&	&	CCONJ
ejpam-5956	848	5	fuzzy	fuzzy	ADJ
ejpam-5956	848	6	systems	system	NOUN
ejpam-5956	848	7	,	,	PUNCT
ejpam-5956	848	8	36(1):337–352	36(1):337–352	PROPN
ejpam-5956	848	9	,	,	PUNCT
ejpam-5956	848	10	2019	2019	NUM
ejpam-5956	848	11	.	.	PUNCT
ejpam-5956	849	1	[	[	X
ejpam-5956	849	2	9	9	NUM
ejpam-5956	849	3	]	]	X
ejpam-5956	849	4	tareq	tareq	PROPN
ejpam-5956	849	5	m	m	PROPN
ejpam-5956	849	6	al	al	PROPN
ejpam-5956	849	7	-	-	PUNCT
ejpam-5956	849	8	shami	shami	PROPN
ejpam-5956	849	9	and	and	CCONJ
ejpam-5956	849	10	abdelwaheb	abdelwaheb	PROPN
ejpam-5956	849	11	mhemdi	mhemdi	PROPN
ejpam-5956	849	12	.	.	PUNCT
ejpam-5956	850	1	generalized	generalized	ADJ
ejpam-5956	850	2	frame	frame	NOUN
ejpam-5956	850	3	for	for	ADP
ejpam-5956	850	4	orthopair	orthopair	ADJ
ejpam-5956	850	5	fuzzy	fuzzy	ADJ
ejpam-5956	850	6	sets:(m	sets:(m	NOUN
ejpam-5956	850	7	,	,	PUNCT
ejpam-5956	850	8	n)-fuzzy	n)-fuzzy	PUNCT
ejpam-5956	850	9	sets	set	NOUN
ejpam-5956	850	10	and	and	CCONJ
ejpam-5956	850	11	their	their	PRON
ejpam-5956	850	12	applications	application	NOUN
ejpam-5956	850	13	to	to	ADP
ejpam-5956	850	14	multi	multi	ADJ
ejpam-5956	850	15	-	-	NOUN
ejpam-5956	850	16	criteria	criterion	NOUN
ejpam-5956	850	17	decision	decision	NOUN
ejpam-5956	850	18	-	-	PUNCT
ejpam-5956	850	19	making	make	VERB
ejpam-5956	850	20	methods	method	NOUN
ejpam-5956	850	21	.	.	PUNCT
ejpam-5956	851	1	information	information	NOUN
ejpam-5956	851	2	,	,	PUNCT
ejpam-5956	851	3	14(1):56	14(1):56	NUM
ejpam-5956	851	4	,	,	PUNCT
ejpam-5956	851	5	2023	2023	NUM
ejpam-5956	851	6	.	.	PUNCT
ejpam-5956	852	1	[	[	X
ejpam-5956	852	2	10	10	NUM
ejpam-5956	852	3	]	]	X
ejpam-5956	852	4	li	li	PROPN
ejpam-5956	852	5	li	li	PROPN
ejpam-5956	852	6	,	,	PUNCT
ejpam-5956	852	7	runtong	runtong	PROPN
ejpam-5956	852	8	zhang	zhang	PROPN
ejpam-5956	852	9	,	,	PUNCT
ejpam-5956	852	10	jun	jun	PROPN
ejpam-5956	852	11	wang	wang	PROPN
ejpam-5956	852	12	,	,	PUNCT
ejpam-5956	852	13	xiaopu	xiaopu	PROPN
ejpam-5956	852	14	shang	shang	PROPN
ejpam-5956	852	15	,	,	PUNCT
ejpam-5956	852	16	and	and	CCONJ
ejpam-5956	852	17	kaiyuan	kaiyuan	PROPN
ejpam-5956	852	18	bai	bai	PROPN
ejpam-5956	852	19	.	.	PUNCT
ejpam-5956	853	1	a	a	DET
ejpam-5956	853	2	novel	novel	ADJ
ejpam-5956	853	3	approach	approach	NOUN
ejpam-5956	853	4	to	to	ADP
ejpam-5956	853	5	multi	multi	ADJ
ejpam-5956	853	6	-	-	ADJ
ejpam-5956	853	7	attribute	attribute	NOUN
ejpam-5956	853	8	group	group	NOUN
ejpam-5956	853	9	decision	decision	NOUN
ejpam-5956	853	10	-	-	PUNCT
ejpam-5956	853	11	making	making	NOUN
ejpam-5956	853	12	with	with	ADP
ejpam-5956	853	13	q	q	ADJ
ejpam-5956	853	14	-	-	PUNCT
ejpam-5956	853	15	rung	rung	ADJ
ejpam-5956	853	16	picture	picture	NOUN
ejpam-5956	853	17	linguistic	linguistic	ADJ
ejpam-5956	853	18	information	information	NOUN
ejpam-5956	853	19	.	.	PUNCT
ejpam-5956	854	1	symmetry	symmetry	NOUN
ejpam-5956	854	2	,	,	PUNCT
ejpam-5956	854	3	10(5):172	10(5):172	NUM
ejpam-5956	854	4	,	,	PUNCT
ejpam-5956	854	5	2018	2018	NUM
ejpam-5956	854	6	.	.	PUNCT
ejpam-5956	855	1	[	[	X
ejpam-5956	855	2	11	11	NUM
ejpam-5956	855	3	]	]	PUNCT
ejpam-5956	855	4	m.	m.	NOUN
ejpam-5956	855	5	n.	n.	PROPN
ejpam-5956	855	6	abu_shugair	abu_shugair	PROPN
ejpam-5956	855	7	,	,	PUNCT
ejpam-5956	855	8	a.	a.	NOUN
ejpam-5956	855	9	a.	a.	PROPN
ejpam-5956	855	10	abdallah	abdallah	PROPN
ejpam-5956	855	11	,	,	PUNCT
ejpam-5956	855	12	s.	s.	PROPN
ejpam-5956	855	13	e.	e.	PROPN
ejpam-5956	855	14	abbas	abbas	PROPN
ejpam-5956	855	15	,	,	PUNCT
ejpam-5956	855	16	and	and	CCONJ
ejpam-5956	855	17	i.	i.	PROPN
ejpam-5956	855	18	ibedou	ibedou	PROPN
ejpam-5956	855	19	.	.	PUNCT
ejpam-5956	856	1	double	double	ADJ
ejpam-5956	856	2	fuzzy	fuzzy	ADJ
ejpam-5956	856	3	α	α	PROPN
ejpam-5956	856	4	-	-	PUNCT
ejpam-5956	856	5	ð	ð	NUM
ejpam-5956	856	6	-	-	PUNCT
ejpam-5956	856	7	continuous	continuous	ADJ
ejpam-5956	856	8	multifunctions	multifunction	NOUN
ejpam-5956	856	9	.	.	PUNCT
ejpam-5956	857	1	aims	aim	VERB
ejpam-5956	857	2	mathematics	mathematic	NOUN
ejpam-5956	857	3	,	,	PUNCT
ejpam-5956	857	4	9(6):16623–16642	9(6):16623–16642	PROPN
ejpam-5956	857	5	,	,	PUNCT
ejpam-5956	857	6	2024	2024	NUM
ejpam-5956	857	7	.	.	PUNCT
ejpam-5956	858	1	[	[	X
ejpam-5956	858	2	12	12	NUM
ejpam-5956	858	3	]	]	PUNCT
ejpam-5956	858	4	m.	m.	NOUN
ejpam-5956	858	5	n.	n.	PROPN
ejpam-5956	858	6	abu_shugair	abu_shugair	PROPN
ejpam-5956	858	7	,	,	PUNCT
ejpam-5956	858	8	a.	a.	NOUN
ejpam-5956	858	9	a.	a.	PROPN
ejpam-5956	858	10	abdallah	abdallah	PROPN
ejpam-5956	858	11	,	,	PUNCT
ejpam-5956	858	12	s.	s.	PROPN
ejpam-5956	858	13	e.	e.	PROPN
ejpam-5956	858	14	abbas	abbas	PROPN
ejpam-5956	858	15	,	,	PUNCT
ejpam-5956	858	16	e.	e.	PROPN
ejpam-5956	858	17	el	el	PROPN
ejpam-5956	858	18	-	-	PROPN
ejpam-5956	858	19	sanowsy	sanowsy	PROPN
ejpam-5956	858	20	,	,	PUNCT
ejpam-5956	858	21	and	and	CCONJ
ejpam-5956	858	22	i.	i.	PROPN
ejpam-5956	858	23	ibedou	ibedou	PROPN
ejpam-5956	858	24	.	.	PUNCT
ejpam-5956	859	1	double	double	ADJ
ejpam-5956	859	2	fuzzy	fuzzy	ADJ
ejpam-5956	859	3	ideal	ideal	ADJ
ejpam-5956	859	4	multifunctions	multifunction	NOUN
ejpam-5956	859	5	.	.	PUNCT
ejpam-5956	860	1	mathematics	mathematic	NOUN
ejpam-5956	860	2	,	,	PUNCT
ejpam-5956	860	3	12(8):1128	12(8):1128	NUM
ejpam-5956	860	4	,	,	PUNCT
ejpam-5956	860	5	2024	2024	NUM
ejpam-5956	860	6	.	.	PUNCT
ejpam-5956	861	1	[	[	X
ejpam-5956	861	2	13	13	NUM
ejpam-5956	861	3	]	]	PUNCT
ejpam-5956	861	4	krassimir	krassimir	NOUN
ejpam-5956	861	5	atanassov	atanassov	PROPN
ejpam-5956	861	6	,	,	PUNCT
ejpam-5956	861	7	nora	nora	PROPN
ejpam-5956	861	8	angelova	angelova	PROPN
ejpam-5956	861	9	,	,	PUNCT
ejpam-5956	861	10	and	and	CCONJ
ejpam-5956	861	11	tania	tania	PROPN
ejpam-5956	861	12	pencheva	pencheva	VERB
ejpam-5956	861	13	.	.	PUNCT
ejpam-5956	862	1	on	on	ADP
ejpam-5956	862	2	two	two	NUM
ejpam-5956	862	3	intuitionistic	intuitionistic	ADJ
ejpam-5956	862	4	fuzzy	fuzzy	ADJ
ejpam-5956	862	5	modal	modal	ADJ
ejpam-5956	862	6	topological	topological	ADJ
ejpam-5956	862	7	structures	structure	NOUN
ejpam-5956	862	8	.	.	PUNCT
ejpam-5956	863	1	axioms	axiom	NOUN
ejpam-5956	863	2	,	,	PUNCT
ejpam-5956	863	3	12(5):408	12(5):408	NUM
ejpam-5956	863	4	,	,	PUNCT
ejpam-5956	863	5	2023	2023	NUM
ejpam-5956	863	6	.	.	PUNCT
ejpam-5956	864	1	[	[	X
ejpam-5956	864	2	14	14	NUM
ejpam-5956	864	3	]	]	X
ejpam-5956	864	4	harish	harish	PROPN
ejpam-5956	864	5	garg	garg	PROPN
ejpam-5956	864	6	and	and	CCONJ
ejpam-5956	864	7	mohammed	mohammed	PROPN
ejpam-5956	864	8	atef	atef	PROPN
ejpam-5956	864	9	.	.	PUNCT
ejpam-5956	865	1	cq	cq	NOUN
ejpam-5956	865	2	-	-	PUNCT
ejpam-5956	865	3	rofrs	rofrs	ADJ
ejpam-5956	865	4	:	:	PUNCT
ejpam-5956	865	5	covering	cover	VERB
ejpam-5956	865	6	q	q	ADJ
ejpam-5956	865	7	-	-	PUNCT
ejpam-5956	865	8	rung	rung	ADJ
ejpam-5956	865	9	orthopair	orthopair	NOUN
ejpam-5956	865	10	fuzzy	fuzzy	ADJ
ejpam-5956	865	11	rough	rough	ADJ
ejpam-5956	865	12	sets	set	NOUN
ejpam-5956	865	13	and	and	CCONJ
ejpam-5956	865	14	its	its	PRON
ejpam-5956	865	15	application	application	NOUN
ejpam-5956	865	16	to	to	ADP
ejpam-5956	865	17	multi	multi	ADJ
ejpam-5956	865	18	-	-	ADJ
ejpam-5956	865	19	attribute	attribute	NOUN
ejpam-5956	865	20	decision	decision	NOUN
ejpam-5956	865	21	-	-	PUNCT
ejpam-5956	865	22	making	make	VERB
ejpam-5956	865	23	process	process	NOUN
ejpam-5956	865	24	.	.	PUNCT
ejpam-5956	866	1	complex	complex	ADJ
ejpam-5956	866	2	&	&	CCONJ
ejpam-5956	866	3	intelligent	intelligent	ADJ
ejpam-5956	866	4	systems	system	NOUN
ejpam-5956	866	5	,	,	PUNCT
ejpam-5956	866	6	8(3):2349–2370	8(3):2349–2370	NUM
ejpam-5956	866	7	,	,	PUNCT
ejpam-5956	866	8	2022	2022	NUM
ejpam-5956	866	9	.	.	PUNCT
ejpam-5956	867	1	[	[	X
ejpam-5956	867	2	15	15	NUM
ejpam-5956	867	3	]	]	X
ejpam-5956	867	4	kazimierz	kazimierz	PROPN
ejpam-5956	867	5	kuratowski	kuratowski	PROPN
ejpam-5956	867	6	.	.	PUNCT
ejpam-5956	868	1	topology	topology	NOUN
ejpam-5956	868	2	:	:	PUNCT
ejpam-5956	868	3	volume	volume	NOUN
ejpam-5956	868	4	i	i	PRON
ejpam-5956	868	5	,	,	PUNCT
ejpam-5956	868	6	volume	volume	NOUN
ejpam-5956	868	7	1	1	NUM
ejpam-5956	868	8	.	.	PUNCT
ejpam-5956	869	1	elsevier	elsevier	NOUN
ejpam-5956	869	2	,	,	PUNCT
ejpam-5956	869	3	2014	2014	NUM
ejpam-5956	869	4	.	.	PUNCT
ejpam-5956	870	1	[	[	X
ejpam-5956	870	2	16	16	NUM
ejpam-5956	870	3	]	]	X
ejpam-5956	870	4	i	i	PRON
ejpam-5956	870	5	silambarasan	silambarasan	PROPN
ejpam-5956	870	6	.	.	PUNCT
ejpam-5956	871	1	some	some	DET
ejpam-5956	871	2	algebraic	algebraic	ADJ
ejpam-5956	871	3	properties	property	NOUN
ejpam-5956	871	4	of	of	ADP
ejpam-5956	871	5	picture	picture	NOUN
ejpam-5956	871	6	fuzzy	fuzzy	ADJ
ejpam-5956	871	7	sets	set	NOUN
ejpam-5956	871	8	.	.	PUNCT
ejpam-5956	872	1	bull	bull	NOUN
ejpam-5956	872	2	.	.	PUNCT
ejpam-5956	873	1	int	int	NOUN
ejpam-5956	873	2	.	.	PUNCT
ejpam-5956	874	1	math	math	NOUN
ejpam-5956	874	2	.	.	PUNCT
ejpam-5956	875	1	virtual	virtual	ADJ
ejpam-5956	875	2	inst	inst	NOUN
ejpam-5956	875	3	,	,	PUNCT
ejpam-5956	875	4	11(3):429–442	11(3):429–442	NUM
ejpam-5956	875	5	,	,	PUNCT
ejpam-5956	875	6	2021	2021	NUM
ejpam-5956	875	7	.	.	PUNCT
ejpam-5956	876	1	[	[	X
ejpam-5956	876	2	17	17	NUM
ejpam-5956	876	3	]	]	X
ejpam-5956	876	4	patrick	patrick	PROPN
ejpam-5956	876	5	blackburn	blackburn	PROPN
ejpam-5956	876	6	,	,	PUNCT
ejpam-5956	876	7	johan	johan	PROPN
ejpam-5956	876	8	fak	fak	PROPN
ejpam-5956	876	9	van	van	PROPN
ejpam-5956	876	10	benthem	benthem	PROPN
ejpam-5956	876	11	,	,	PUNCT
ejpam-5956	876	12	and	and	CCONJ
ejpam-5956	876	13	frank	frank	PROPN
ejpam-5956	876	14	wolter	wolter	PROPN
ejpam-5956	876	15	.	.	PUNCT
ejpam-5956	877	1	handbook	handbook	NOUN
ejpam-5956	877	2	of	of	ADP
ejpam-5956	877	3	modal	modal	ADJ
ejpam-5956	877	4	logic	logic	NOUN
ejpam-5956	877	5	,	,	PUNCT
ejpam-5956	877	6	volume	volume	NOUN
ejpam-5956	877	7	3	3	NUM
ejpam-5956	877	8	.	.	PUNCT
ejpam-5956	878	1	elsevier	elsevier	NOUN
ejpam-5956	878	2	,	,	PUNCT
ejpam-5956	878	3	2006	2006	NUM
ejpam-5956	878	4	.	.	PUNCT
ejpam-5956	879	1	[	[	X
ejpam-5956	879	2	18	18	NUM
ejpam-5956	879	3	]	]	PUNCT
ejpam-5956	879	4	r.	r.	NOUN
ejpam-5956	879	5	feys	fey	NOUN
ejpam-5956	879	6	.	.	PUNCT
ejpam-5956	879	7	modal	modal	ADJ
ejpam-5956	879	8	logics	logic	NOUN
ejpam-5956	879	9	.	.	PUNCT
ejpam-5956	880	1	gauthier	gauthier	PROPN
ejpam-5956	880	2	,	,	PUNCT
ejpam-5956	880	3	paris	paris	PROPN
ejpam-5956	880	4	,	,	PUNCT
ejpam-5956	880	5	france	france	PROPN
ejpam-5956	880	6	,	,	PUNCT
ejpam-5956	880	7	1965	1965	NUM
ejpam-5956	880	8	.	.	PUNCT
ejpam-5956	881	1	[	[	X
ejpam-5956	881	2	19	19	NUM
ejpam-5956	881	3	]	]	X
ejpam-5956	881	4	melvin	melvin	PROPN
ejpam-5956	881	5	fitting	fitting	PROPN
ejpam-5956	881	6	,	,	PUNCT
ejpam-5956	881	7	richard	richard	PROPN
ejpam-5956	881	8	l	l	PROPN
ejpam-5956	881	9	mendelsohn	mendelsohn	PROPN
ejpam-5956	881	10	,	,	PUNCT
ejpam-5956	881	11	and	and	CCONJ
ejpam-5956	881	12	roderic	roderic	ADJ
ejpam-5956	881	13	a	a	DET
ejpam-5956	881	14	girle	girle	NOUN
ejpam-5956	881	15	.	.	PUNCT
ejpam-5956	882	1	first	first	ADJ
ejpam-5956	882	2	-	-	PUNCT
ejpam-5956	882	3	order	order	NOUN
ejpam-5956	882	4	modal	modal	ADJ
ejpam-5956	882	5	logic	logic	NOUN
ejpam-5956	882	6	.	.	PUNCT
ejpam-5956	883	1	springer	springer	NOUN
ejpam-5956	883	2	,	,	PUNCT
ejpam-5956	883	3	1998	1998	NUM
ejpam-5956	883	4	.	.	PUNCT
ejpam-5956	884	1	[	[	X
ejpam-5956	884	2	20	20	NUM
ejpam-5956	884	3	]	]	SYM
ejpam-5956	884	4	grigori	grigori	NOUN
ejpam-5956	884	5	mints	mint	NOUN
ejpam-5956	884	6	.	.	PUNCT
ejpam-5956	885	1	a	a	DET
ejpam-5956	885	2	short	short	ADJ
ejpam-5956	885	3	introduction	introduction	NOUN
ejpam-5956	885	4	to	to	ADP
ejpam-5956	885	5	modal	modal	ADJ
ejpam-5956	885	6	logic	logic	NOUN
ejpam-5956	885	7	.	.	PUNCT
ejpam-5956	886	1	university	university	NOUN
ejpam-5956	886	2	of	of	ADP
ejpam-5956	886	3	chicago	chicago	PROPN
ejpam-5956	886	4	press	press	PROPN
ejpam-5956	886	5	,	,	PUNCT
ejpam-5956	886	6	usa	usa	PROPN
ejpam-5956	886	7	,	,	PUNCT
ejpam-5956	886	8	1992	1992	NUM
ejpam-5956	886	9	.	.	PUNCT
ejpam-5956	887	1	[	[	X
ejpam-5956	887	2	21	21	NUM
ejpam-5956	887	3	]	]	PUNCT
ejpam-5956	887	4	abdul	abdul	PROPN
ejpam-5956	887	5	razaq	razaq	PROPN
ejpam-5956	887	6	,	,	PUNCT
ejpam-5956	887	7	ibtisam	ibtisam	PROPN
ejpam-5956	887	8	masmali	masmali	PROPN
ejpam-5956	887	9	,	,	PUNCT
ejpam-5956	887	10	harish	harish	PROPN
ejpam-5956	887	11	garg	garg	PROPN
ejpam-5956	887	12	,	,	PUNCT
ejpam-5956	887	13	and	and	CCONJ
ejpam-5956	887	14	umer	umer	PROPN
ejpam-5956	887	15	shuaib	shuaib	PROPN
ejpam-5956	887	16	.	.	PUNCT
ejpam-5956	888	1	picture	picture	NOUN
ejpam-5956	888	2	fuzzy	fuzzy	ADJ
ejpam-5956	888	3	topological	topological	ADJ
ejpam-5956	888	4	spaces	space	NOUN
ejpam-5956	888	5	and	and	CCONJ
ejpam-5956	888	6	associated	associate	VERB
ejpam-5956	888	7	continuous	continuous	ADJ
ejpam-5956	888	8	functions	function	NOUN
ejpam-5956	888	9	.	.	PUNCT
ejpam-5956	889	1	aims	aim	VERB
ejpam-5956	889	2	mathematics	mathematic	NOUN
ejpam-5956	889	3	,	,	PUNCT
ejpam-5956	889	4	7(8):14840	7(8):14840	NUM
ejpam-5956	889	5	–	–	PUNCT
ejpam-5956	889	6	14861	14861	NUM
ejpam-5956	889	7	,	,	PUNCT
ejpam-5956	889	8	2022	2022	NUM
ejpam-5956	889	9	.	.	PUNCT
ejpam-5956	890	1	dali	dali	PROPN
ejpam-5956	890	2	shi	shi	PROPN
ejpam-5956	890	3	et	et	PROPN
ejpam-5956	890	4	al	al	PROPN
ejpam-5956	890	5	.	.	PUNCT
ejpam-5956	890	6	/	/	SYM
ejpam-5956	890	7	eur	eur	PROPN
ejpam-5956	890	8	.	.	PUNCT
ejpam-5956	891	1	j.	j.	PROPN
ejpam-5956	891	2	pure	pure	PROPN
ejpam-5956	891	3	appl	appl	PROPN
ejpam-5956	891	4	.	.	PROPN
ejpam-5956	891	5	math	math	PROPN
ejpam-5956	891	6	,	,	PUNCT
ejpam-5956	891	7	18	18	NUM
ejpam-5956	891	8	(	(	PUNCT
ejpam-5956	891	9	2	2	NUM
ejpam-5956	891	10	)	)	PUNCT
ejpam-5956	891	11	(	(	PUNCT
ejpam-5956	891	12	2025	2025	NUM
ejpam-5956	891	13	)	)	PUNCT
ejpam-5956	891	14	,	,	PUNCT
ejpam-5956	891	15	5956	5956	NUM
ejpam-5956	891	16	30	30	NUM
ejpam-5956	891	17	of	of	ADP
ejpam-5956	891	18	30	30	NUM
ejpam-5956	891	19	[	[	SYM
ejpam-5956	891	20	22	22	NUM
ejpam-5956	891	21	]	]	PUNCT
ejpam-5956	891	22	m.	m.	NOUN
ejpam-5956	891	23	n.	n.	PROPN
ejpam-5956	891	24	abu_shugair	abu_shugair	PROPN
ejpam-5956	891	25	,	,	PUNCT
ejpam-5956	891	26	a.	a.	NOUN
ejpam-5956	891	27	a.	a.	PROPN
ejpam-5956	891	28	abdallah	abdallah	PROPN
ejpam-5956	891	29	,	,	PUNCT
ejpam-5956	891	30	malek	malek	PROPN
ejpam-5956	891	31	alzoubi	alzoubi	PROPN
ejpam-5956	891	32	,	,	PUNCT
ejpam-5956	891	33	s.	s.	PROPN
ejpam-5956	891	34	e.	e.	PROPN
ejpam-5956	891	35	abbas	abbas	PROPN
ejpam-5956	891	36	,	,	PUNCT
ejpam-5956	891	37	and	and	CCONJ
ejpam-5956	891	38	ismail	ismail	PROPN
ejpam-5956	891	39	ibedou	ibedou	PROPN
ejpam-5956	891	40	.	.	PUNCT
ejpam-5956	892	1	picture	picture	NOUN
ejpam-5956	892	2	fuzzy	fuzzy	ADJ
ejpam-5956	892	3	multifunctions	multifunction	NOUN
ejpam-5956	892	4	and	and	CCONJ
ejpam-5956	892	5	modal	modal	ADJ
ejpam-5956	892	6	topological	topological	ADJ
ejpam-5956	892	7	structures	structure	NOUN
ejpam-5956	892	8	.	.	PUNCT
ejpam-5956	893	1	aims	aim	VERB
ejpam-5956	893	2	mathematics	mathematic	NOUN
ejpam-5956	893	3	,	,	PUNCT
ejpam-5956	893	4	10(3):7430–7448	10(3):7430–7448	NUM
ejpam-5956	893	5	,	,	PUNCT
ejpam-5956	893	6	2025	2025	NUM
ejpam-5956	893	7	.	.	PUNCT
ejpam-5956	894	1	[	[	X
ejpam-5956	894	2	23	23	NUM
ejpam-5956	894	3	]	]	X
ejpam-5956	894	4	p	p	NOUN
ejpam-5956	894	5	chellamani	chellamani	NOUN
ejpam-5956	894	6	,	,	PUNCT
ejpam-5956	894	7	d	d	X
ejpam-5956	894	8	ajay	ajay	NOUN
ejpam-5956	894	9	,	,	PUNCT
ejpam-5956	894	10	said	say	VERB
ejpam-5956	894	11	broumi	broumi	NOUN
ejpam-5956	894	12	,	,	PUNCT
ejpam-5956	894	13	and	and	CCONJ
ejpam-5956	894	14	t	t	PROPN
ejpam-5956	894	15	antony	antony	PROPN
ejpam-5956	894	16	alphonse	alphonse	PROPN
ejpam-5956	894	17	ligori	ligori	PROPN
ejpam-5956	894	18	.	.	PUNCT
ejpam-5956	895	1	an	an	DET
ejpam-5956	895	2	approach	approach	NOUN
ejpam-5956	895	3	to	to	ADP
ejpam-5956	895	4	decision	decision	NOUN
ejpam-5956	895	5	-	-	PUNCT
ejpam-5956	895	6	making	making	NOUN
ejpam-5956	895	7	via	via	ADP
ejpam-5956	895	8	picture	picture	NOUN
ejpam-5956	895	9	fuzzy	fuzzy	ADJ
ejpam-5956	895	10	soft	soft	ADJ
ejpam-5956	895	11	graphs	graph	NOUN
ejpam-5956	895	12	.	.	PUNCT
ejpam-5956	896	1	granular	granular	ADJ
ejpam-5956	896	2	computing	computing	NOUN
ejpam-5956	896	3	,	,	PUNCT
ejpam-5956	896	4	pages	page	NOUN
ejpam-5956	896	5	1–22	1–22	PROPN
ejpam-5956	896	6	,	,	PUNCT
ejpam-5956	896	7	2021	2021	NUM
ejpam-5956	896	8	.	.	PUNCT
ejpam-5956	897	1	[	[	X
ejpam-5956	897	2	24	24	NUM
ejpam-5956	897	3	]	]	X
ejpam-5956	897	4	yong	yong	PROPN
ejpam-5956	897	5	yang	yang	PROPN
ejpam-5956	897	6	,	,	PUNCT
ejpam-5956	897	7	chencheng	chencheng	PROPN
ejpam-5956	897	8	liang	liang	PROPN
ejpam-5956	897	9	,	,	PUNCT
ejpam-5956	897	10	shiwei	shiwei	PROPN
ejpam-5956	897	11	ji	ji	PROPN
ejpam-5956	897	12	,	,	PUNCT
ejpam-5956	897	13	and	and	CCONJ
ejpam-5956	897	14	tingting	tingte	VERB
ejpam-5956	897	15	liu	liu	PROPN
ejpam-5956	897	16	.	.	PUNCT
ejpam-5956	898	1	adjustable	adjustable	ADJ
ejpam-5956	898	2	soft	soft	ADJ
ejpam-5956	898	3	discernibility	discernibility	NOUN
ejpam-5956	898	4	matrix	matrix	NOUN
ejpam-5956	898	5	based	base	VERB
ejpam-5956	898	6	on	on	ADP
ejpam-5956	898	7	picture	picture	NOUN
ejpam-5956	898	8	fuzzy	fuzzy	ADJ
ejpam-5956	898	9	soft	soft	ADJ
ejpam-5956	898	10	sets	set	NOUN
ejpam-5956	898	11	and	and	CCONJ
ejpam-5956	898	12	its	its	PRON
ejpam-5956	898	13	applications	application	NOUN
ejpam-5956	898	14	in	in	ADP
ejpam-5956	898	15	decision	decision	NOUN
ejpam-5956	898	16	making	making	NOUN
ejpam-5956	898	17	.	.	PUNCT
ejpam-5956	899	1	journal	journal	NOUN
ejpam-5956	899	2	of	of	ADP
ejpam-5956	899	3	intelligent	intelligent	ADJ
ejpam-5956	899	4	&	&	CCONJ
ejpam-5956	899	5	fuzzy	fuzzy	ADJ
ejpam-5956	899	6	systems	system	NOUN
ejpam-5956	899	7	,	,	PUNCT
ejpam-5956	899	8	29(4):1711–1722	29(4):1711–1722	NUM
ejpam-5956	899	9	,	,	PUNCT
ejpam-5956	899	10	2015	2015	NUM
ejpam-5956	899	11	.	.	PUNCT
ejpam-5956	900	1	[	[	X
ejpam-5956	900	2	25	25	NUM
ejpam-5956	900	3	]	]	X
ejpam-5956	900	4	rajesh	rajesh	PROPN
ejpam-5956	900	5	joshi	joshi	PROPN
ejpam-5956	900	6	.	.	PUNCT
ejpam-5956	901	1	a	a	DET
ejpam-5956	901	2	novel	novel	ADJ
ejpam-5956	901	3	decision	decision	NOUN
ejpam-5956	901	4	-	-	PUNCT
ejpam-5956	901	5	making	make	VERB
ejpam-5956	901	6	method	method	NOUN
ejpam-5956	901	7	using	use	VERB
ejpam-5956	901	8	r	r	NOUN
ejpam-5956	901	9	-	-	PUNCT
ejpam-5956	901	10	norm	norm	NOUN
ejpam-5956	901	11	concept	concept	NOUN
ejpam-5956	901	12	and	and	CCONJ
ejpam-5956	901	13	vikor	vikor	ADJ
ejpam-5956	901	14	approach	approach	NOUN
ejpam-5956	901	15	under	under	ADP
ejpam-5956	901	16	picture	picture	NOUN
ejpam-5956	901	17	fuzzy	fuzzy	ADJ
ejpam-5956	901	18	environment	environment	NOUN
ejpam-5956	901	19	.	.	PUNCT
ejpam-5956	902	1	expert	expert	NOUN
ejpam-5956	902	2	systems	system	NOUN
ejpam-5956	902	3	with	with	ADP
ejpam-5956	902	4	applications	application	NOUN
ejpam-5956	902	5	,	,	PUNCT
ejpam-5956	902	6	147:113228	147:113228	NUM
ejpam-5956	902	7	,	,	PUNCT
ejpam-5956	902	8	2020	2020	NUM
ejpam-5956	902	9	.	.	PUNCT
ejpam-5956	903	1	[	[	X
ejpam-5956	903	2	26	26	NUM
ejpam-5956	903	3	]	]	X
ejpam-5956	903	4	rajesh	rajesh	PROPN
ejpam-5956	903	5	joshi	joshi	PROPN
ejpam-5956	903	6	.	.	PUNCT
ejpam-5956	904	1	a	a	DET
ejpam-5956	904	2	new	new	ADJ
ejpam-5956	904	3	picture	picture	NOUN
ejpam-5956	904	4	fuzzy	fuzzy	ADJ
ejpam-5956	904	5	information	information	NOUN
ejpam-5956	904	6	measure	measure	NOUN
ejpam-5956	904	7	based	base	VERB
ejpam-5956	904	8	on	on	ADP
ejpam-5956	904	9	tsallis	tsallis	PRON
ejpam-5956	904	10	–	–	PUNCT
ejpam-5956	904	11	havrda	havrda	PROPN
ejpam-5956	904	12	–	–	PUNCT
ejpam-5956	904	13	charvat	charvat	ADJ
ejpam-5956	904	14	concept	concept	NOUN
ejpam-5956	904	15	with	with	ADP
ejpam-5956	904	16	applications	application	NOUN
ejpam-5956	904	17	in	in	ADP
ejpam-5956	904	18	presaging	presage	VERB
ejpam-5956	904	19	poll	poll	NOUN
ejpam-5956	904	20	outcome	outcome	NOUN
ejpam-5956	904	21	.	.	PUNCT
ejpam-5956	905	1	computational	computational	ADJ
ejpam-5956	905	2	and	and	CCONJ
ejpam-5956	905	3	applied	applied	ADJ
ejpam-5956	905	4	mathematics	mathematic	NOUN
ejpam-5956	905	5	,	,	PUNCT
ejpam-5956	905	6	39(2):71	39(2):71	PROPN
ejpam-5956	905	7	,	,	PUNCT
ejpam-5956	905	8	2020	2020	NUM
ejpam-5956	905	9	.	.	PUNCT
ejpam-5956	906	1	[	[	X
ejpam-5956	906	2	27	27	NUM
ejpam-5956	906	3	]	]	X
ejpam-5956	906	4	rajesh	rajesh	PROPN
ejpam-5956	906	5	joshi	joshi	PROPN
ejpam-5956	906	6	and	and	CCONJ
ejpam-5956	906	7	satish	satish	PROPN
ejpam-5956	906	8	kumar	kumar	PROPN
ejpam-5956	906	9	.	.	PUNCT
ejpam-5956	907	1	a	a	DET
ejpam-5956	907	2	novel	novel	ADJ
ejpam-5956	907	3	vikor	vikor	ADJ
ejpam-5956	907	4	approach	approach	NOUN
ejpam-5956	907	5	based	base	VERB
ejpam-5956	907	6	on	on	ADP
ejpam-5956	907	7	weighted	weight	VERB
ejpam-5956	907	8	correlation	correlation	NOUN
ejpam-5956	907	9	coefficients	coefficient	NOUN
ejpam-5956	907	10	and	and	CCONJ
ejpam-5956	907	11	picture	picture	NOUN
ejpam-5956	907	12	fuzzy	fuzzy	ADJ
ejpam-5956	907	13	information	information	NOUN
ejpam-5956	907	14	for	for	ADP
ejpam-5956	907	15	multicriteria	multicriteria	PROPN
ejpam-5956	907	16	decision	decision	NOUN
ejpam-5956	907	17	making	making	NOUN
ejpam-5956	907	18	.	.	PUNCT
ejpam-5956	908	1	granular	granular	ADJ
ejpam-5956	908	2	computing	computing	NOUN
ejpam-5956	908	3	,	,	PUNCT
ejpam-5956	908	4	7(2):323–336	7(2):323–336	NUM
ejpam-5956	908	5	,	,	PUNCT
ejpam-5956	908	6	2022	2022	NUM
ejpam-5956	908	7	.	.	PUNCT
ejpam-5956	909	1	[	[	X
ejpam-5956	909	2	28	28	NUM
ejpam-5956	909	3	]	]	X
ejpam-5956	909	4	sankar	sankar	NOUN
ejpam-5956	909	5	das	das	PROPN
ejpam-5956	909	6	,	,	PUNCT
ejpam-5956	909	7	ganesh	ganesh	NOUN
ejpam-5956	909	8	ghorai	ghorai	NOUN
ejpam-5956	909	9	,	,	PUNCT
ejpam-5956	909	10	and	and	CCONJ
ejpam-5956	909	11	madhumangal	madhumangal	ADJ
ejpam-5956	909	12	pal	pal	NOUN
ejpam-5956	909	13	.	.	PUNCT
ejpam-5956	910	1	certain	certain	ADJ
ejpam-5956	910	2	competition	competition	NOUN
ejpam-5956	910	3	graphs	graph	NOUN
ejpam-5956	910	4	based	base	VERB
ejpam-5956	910	5	on	on	ADP
ejpam-5956	910	6	picture	picture	NOUN
ejpam-5956	910	7	fuzzy	fuzzy	ADJ
ejpam-5956	910	8	environment	environment	NOUN
ejpam-5956	910	9	with	with	ADP
ejpam-5956	910	10	applications	application	NOUN
ejpam-5956	910	11	.	.	PUNCT
ejpam-5956	911	1	artificial	artificial	ADJ
ejpam-5956	911	2	intelligence	intelligence	NOUN
ejpam-5956	911	3	review	review	NOUN
ejpam-5956	911	4	,	,	PUNCT
ejpam-5956	911	5	54:3141–3171	54:3141–3171	NUM
ejpam-5956	911	6	,	,	PUNCT
ejpam-5956	911	7	2021	2021	NUM
ejpam-5956	911	8	.	.	PUNCT
ejpam-5956	912	1	[	[	X
ejpam-5956	912	2	29	29	NUM
ejpam-5956	912	3	]	]	X
ejpam-5956	912	4	minxia	minxia	PROPN
ejpam-5956	912	5	luo	luo	PROPN
ejpam-5956	912	6	and	and	CCONJ
ejpam-5956	912	7	yue	yue	PROPN
ejpam-5956	912	8	zhang	zhang	PROPN
ejpam-5956	912	9	.	.	PUNCT
ejpam-5956	913	1	a	a	DET
ejpam-5956	913	2	new	new	ADJ
ejpam-5956	913	3	similarity	similarity	NOUN
ejpam-5956	913	4	measure	measure	NOUN
ejpam-5956	913	5	between	between	ADP
ejpam-5956	913	6	picture	picture	NOUN
ejpam-5956	913	7	fuzzy	fuzzy	ADJ
ejpam-5956	913	8	sets	set	NOUN
ejpam-5956	913	9	and	and	CCONJ
ejpam-5956	913	10	its	its	PRON
ejpam-5956	913	11	application	application	NOUN
ejpam-5956	913	12	.	.	PUNCT
ejpam-5956	914	1	engineering	engineering	NOUN
ejpam-5956	914	2	applications	application	NOUN
ejpam-5956	914	3	of	of	ADP
ejpam-5956	914	4	artificial	artificial	ADJ
ejpam-5956	914	5	intelligence	intelligence	NOUN
ejpam-5956	914	6	,	,	PUNCT
ejpam-5956	914	7	96	96	NUM
ejpam-5956	914	8	,	,	PUNCT
ejpam-5956	914	9	2020	2020	NUM
ejpam-5956	914	10	.	.	PUNCT
ejpam-5956	915	1	[	[	X
ejpam-5956	915	2	30	30	NUM
ejpam-5956	915	3	]	]	PUNCT
ejpam-5956	915	4	guiwu	guiwu	PROPN
ejpam-5956	915	5	wei	wei	PROPN
ejpam-5956	915	6	.	.	PUNCT
ejpam-5956	916	1	some	some	DET
ejpam-5956	916	2	cosine	cosine	NOUN
ejpam-5956	916	3	similarity	similarity	NOUN
ejpam-5956	916	4	measures	measure	NOUN
ejpam-5956	916	5	for	for	ADP
ejpam-5956	916	6	picture	picture	NOUN
ejpam-5956	916	7	fuzzy	fuzzy	ADJ
ejpam-5956	916	8	sets	set	NOUN
ejpam-5956	916	9	and	and	CCONJ
ejpam-5956	916	10	their	their	PRON
ejpam-5956	916	11	applications	application	NOUN
ejpam-5956	916	12	to	to	ADP
ejpam-5956	916	13	strategic	strategic	ADJ
ejpam-5956	916	14	decision	decision	NOUN
ejpam-5956	916	15	making	making	NOUN
ejpam-5956	916	16	.	.	PUNCT
ejpam-5956	917	1	informatica	informatica	PROPN
ejpam-5956	917	2	,	,	PUNCT
ejpam-5956	917	3	28(3):547–564	28(3):547–564	PROPN
ejpam-5956	917	4	,	,	PUNCT
ejpam-5956	917	5	2017	2017	NUM
ejpam-5956	917	6	.	.	PUNCT
ejpam-5956	918	1	[	[	X
ejpam-5956	918	2	31	31	NUM
ejpam-5956	918	3	]	]	PUNCT
ejpam-5956	918	4	krassimir	krassimir	PROPN
ejpam-5956	918	5	t	t	PROPN
ejpam-5956	918	6	atanassov	atanassov	PROPN
ejpam-5956	918	7	and	and	CCONJ
ejpam-5956	918	8	krassimir	krassimir	PROPN
ejpam-5956	918	9	t	t	PROPN
ejpam-5956	918	10	atanassov	atanassov	NOUN
ejpam-5956	918	11	.	.	PUNCT
ejpam-5956	919	1	intuitionistic	intuitionistic	ADJ
ejpam-5956	919	2	fuzzy	fuzzy	ADJ
ejpam-5956	919	3	sets	set	NOUN
ejpam-5956	919	4	.	.	PUNCT
ejpam-5956	920	1	springer	springer	NOUN
ejpam-5956	920	2	,	,	PUNCT
ejpam-5956	920	3	1999	1999	NUM
ejpam-5956	920	4	.	.	PUNCT