id	sid	tid	token	lemma	pos
ejpam-4832	1	1	european	european	PROPN
ejpam-4832	1	2	journal	journal	PROPN
ejpam-4832	1	3	of	of	ADP
ejpam-4832	1	4	pure	pure	ADJ
ejpam-4832	1	5	and	and	CCONJ
ejpam-4832	1	6	applied	apply	VERB
ejpam-4832	1	7	mathematics	mathematic	NOUN
ejpam-4832	1	8	vol	vol	NOUN
ejpam-4832	1	9	.	.	PUNCT
ejpam-4832	2	1	16	16	NUM
ejpam-4832	2	2	,	,	PUNCT
ejpam-4832	2	3	no	no	INTJ
ejpam-4832	2	4	.	.	NOUN
ejpam-4832	2	5	3	3	NUM
ejpam-4832	2	6	,	,	PUNCT
ejpam-4832	2	7	2023	2023	NUM
ejpam-4832	2	8	,	,	PUNCT
ejpam-4832	2	9	1342	1342	NUM
ejpam-4832	2	10	-	-	SYM
ejpam-4832	2	11	1358	1358	NUM
ejpam-4832	2	12	issn	issn	VERB
ejpam-4832	2	13	1307	1307	NUM
ejpam-4832	2	14	-	-	SYM
ejpam-4832	2	15	5543	5543	NUM
ejpam-4832	2	16	–	–	PUNCT
ejpam-4832	2	17	ejpam.com	ejpam.com	X
ejpam-4832	2	18	published	publish	VERB
ejpam-4832	2	19	by	by	ADP
ejpam-4832	2	20	new	new	PROPN
ejpam-4832	2	21	york	york	PROPN
ejpam-4832	2	22	business	business	PROPN
ejpam-4832	2	23	global	global	ADJ
ejpam-4832	2	24	intuitionistic	intuitionistic	ADJ
ejpam-4832	2	25	fuzzy	fuzzy	ADJ
ejpam-4832	2	26	ordered	order	VERB
ejpam-4832	2	27	subalgebras	subalgebras	PROPN
ejpam-4832	2	28	in	in	ADP
ejpam-4832	2	29	ordered	order	VERB
ejpam-4832	2	30	bci	bci	PROPN
ejpam-4832	2	31	-	-	PUNCT
ejpam-4832	2	32	algebras	algebras	PROPN
ejpam-4832	2	33	eun	eun	PROPN
ejpam-4832	2	34	hwan	hwan	PROPN
ejpam-4832	2	35	roh1,∗	roh1,∗	PROPN
ejpam-4832	2	36	,	,	PUNCT
ejpam-4832	2	37	eunsuk	eunsuk	NOUN
ejpam-4832	2	38	yang2	yang2	NOUN
ejpam-4832	2	39	,	,	PUNCT
ejpam-4832	2	40	young	young	ADJ
ejpam-4832	2	41	bae	bae	NOUN
ejpam-4832	2	42	jun3	jun3	PROPN
ejpam-4832	2	43	1	1	NUM
ejpam-4832	2	44	department	department	NOUN
ejpam-4832	2	45	of	of	ADP
ejpam-4832	2	46	mathematics	mathematics	PROPN
ejpam-4832	2	47	education	education	NOUN
ejpam-4832	2	48	,	,	PUNCT
ejpam-4832	2	49	chinju	chinju	PROPN
ejpam-4832	2	50	national	national	PROPN
ejpam-4832	2	51	university	university	PROPN
ejpam-4832	2	52	of	of	ADP
ejpam-4832	2	53	education	education	NOUN
ejpam-4832	2	54	,	,	PUNCT
ejpam-4832	2	55	jinju	jinju	PROPN
ejpam-4832	2	56	52673	52673	NUM
ejpam-4832	2	57	,	,	PUNCT
ejpam-4832	2	58	korea	korea	PROPN
ejpam-4832	2	59	2	2	NUM
ejpam-4832	2	60	department	department	NOUN
ejpam-4832	2	61	of	of	ADP
ejpam-4832	2	62	philosophy	philosophy	NOUN
ejpam-4832	2	63	,	,	PUNCT
ejpam-4832	2	64	jeonbuk	jeonbuk	PROPN
ejpam-4832	2	65	national	national	PROPN
ejpam-4832	2	66	university	university	PROPN
ejpam-4832	2	67	,	,	PUNCT
ejpam-4832	2	68	jeonju	jeonju	NOUN
ejpam-4832	2	69	54896	54896	NUM
ejpam-4832	2	70	,	,	PUNCT
ejpam-4832	2	71	korea	korea	PROPN
ejpam-4832	2	72	3	3	NUM
ejpam-4832	2	73	department	department	PROPN
ejpam-4832	2	74	of	of	ADP
ejpam-4832	2	75	mathematics	mathematics	PROPN
ejpam-4832	2	76	education	education	NOUN
ejpam-4832	2	77	,	,	PUNCT
ejpam-4832	2	78	gyeongsang	gyeongsang	PROPN
ejpam-4832	2	79	national	national	PROPN
ejpam-4832	2	80	university	university	PROPN
ejpam-4832	2	81	,	,	PUNCT
ejpam-4832	2	82	jinju	jinju	NOUN
ejpam-4832	2	83	52828	52828	NUM
ejpam-4832	2	84	,	,	PUNCT
ejpam-4832	2	85	korea	korea	PROPN
ejpam-4832	2	86	abstract	abstract	NOUN
ejpam-4832	2	87	.	.	PUNCT
ejpam-4832	3	1	in	in	ADP
ejpam-4832	3	2	this	this	DET
ejpam-4832	3	3	paper	paper	NOUN
ejpam-4832	3	4	,	,	PUNCT
ejpam-4832	3	5	we	we	PRON
ejpam-4832	3	6	apply	apply	VERB
ejpam-4832	3	7	the	the	DET
ejpam-4832	3	8	concept	concept	NOUN
ejpam-4832	3	9	of	of	ADP
ejpam-4832	3	10	an	an	DET
ejpam-4832	3	11	intuitionistic	intuitionistic	ADJ
ejpam-4832	3	12	fuzzy	fuzzy	ADJ
ejpam-4832	3	13	set	set	NOUN
ejpam-4832	3	14	to	to	PART
ejpam-4832	3	15	ordered	order	VERB
ejpam-4832	3	16	subalgebras	subalgebras	PROPN
ejpam-4832	3	17	in	in	ADP
ejpam-4832	3	18	ordered	order	VERB
ejpam-4832	3	19	bci	bci	NOUN
ejpam-4832	3	20	-	-	PUNCT
ejpam-4832	3	21	algebras	algebra	NOUN
ejpam-4832	3	22	in	in	ADP
ejpam-4832	3	23	the	the	DET
ejpam-4832	3	24	sense	sense	NOUN
ejpam-4832	3	25	of	of	ADP
ejpam-4832	3	26	intuitionistic	intuitionistic	ADJ
ejpam-4832	3	27	fuzzy	fuzzy	ADJ
ejpam-4832	3	28	point	point	NOUN
ejpam-4832	3	29	.	.	PUNCT
ejpam-4832	4	1	we	we	PRON
ejpam-4832	4	2	introduce	introduce	VERB
ejpam-4832	4	3	the	the	DET
ejpam-4832	4	4	notion	notion	NOUN
ejpam-4832	4	5	of	of	ADP
ejpam-4832	4	6	an	an	DET
ejpam-4832	4	7	intuitionistic	intuitionistic	ADJ
ejpam-4832	4	8	fuzzy	fuzzy	ADJ
ejpam-4832	4	9	(	(	PUNCT
ejpam-4832	4	10	ordered	order	VERB
ejpam-4832	4	11	)	)	PUNCT
ejpam-4832	4	12	subalgebra	subalgebra	NOUN
ejpam-4832	4	13	in	in	SCONJ
ejpam-4832	4	14	ordered	order	VERB
ejpam-4832	4	15	bci	bci	NOUN
ejpam-4832	4	16	-	-	NOUN
ejpam-4832	4	17	algebras	algebras	X
ejpam-4832	4	18	,	,	PUNCT
ejpam-4832	4	19	and	and	CCONJ
ejpam-4832	4	20	investigate	investigate	VERB
ejpam-4832	4	21	some	some	DET
ejpam-4832	4	22	related	related	ADJ
ejpam-4832	4	23	properties	property	NOUN
ejpam-4832	4	24	.	.	PUNCT
ejpam-4832	5	1	we	we	PRON
ejpam-4832	5	2	provide	provide	VERB
ejpam-4832	5	3	relations	relation	NOUN
ejpam-4832	5	4	between	between	ADP
ejpam-4832	5	5	an	an	DET
ejpam-4832	5	6	intuitionistic	intuitionistic	ADJ
ejpam-4832	5	7	fuzzy	fuzzy	ADJ
ejpam-4832	5	8	ordered	order	VERB
ejpam-4832	5	9	subalgebra	subalgebra	NOUN
ejpam-4832	5	10	and	and	CCONJ
ejpam-4832	5	11	an	an	DET
ejpam-4832	5	12	intuitionistic	intuitionistic	ADJ
ejpam-4832	5	13	fuzzy	fuzzy	ADJ
ejpam-4832	5	14	subalgebra	subalgebra	NOUN
ejpam-4832	5	15	.	.	PUNCT
ejpam-4832	6	1	we	we	PRON
ejpam-4832	6	2	give	give	VERB
ejpam-4832	6	3	characterizations	characterization	NOUN
ejpam-4832	6	4	of	of	ADP
ejpam-4832	6	5	an	an	DET
ejpam-4832	6	6	intuitionistic	intuitionistic	ADJ
ejpam-4832	6	7	fuzzy	fuzzy	ADJ
ejpam-4832	6	8	(	(	PUNCT
ejpam-4832	6	9	ordered	ordered	ADJ
ejpam-4832	6	10	)	)	PUNCT
ejpam-4832	6	11	subalgebra	subalgebra	NOUN
ejpam-4832	6	12	.	.	PUNCT
ejpam-4832	7	1	finally	finally	ADV
ejpam-4832	7	2	,	,	PUNCT
ejpam-4832	7	3	we	we	PRON
ejpam-4832	7	4	provide	provide	VERB
ejpam-4832	7	5	relations	relation	NOUN
ejpam-4832	7	6	between	between	ADP
ejpam-4832	7	7	a	a	DET
ejpam-4832	7	8	q(t	q(t	PROPN
ejpam-4832	7	9	,	,	PUNCT
ejpam-4832	7	10	s)-level	s)-level	PUNCT
ejpam-4832	7	11	set	set	VERB
ejpam-4832	7	12	of	of	ADP
ejpam-4832	7	13	intuitionistic	intuitionistic	ADJ
ejpam-4832	7	14	fuzzy	fuzzy	ADJ
ejpam-4832	7	15	set	set	NOUN
ejpam-4832	7	16	and	and	CCONJ
ejpam-4832	7	17	an	an	DET
ejpam-4832	7	18	intuitionistic	intuitionistic	ADJ
ejpam-4832	7	19	fuzzy	fuzzy	ADJ
ejpam-4832	7	20	ordered	order	VERB
ejpam-4832	7	21	subalgebra	subalgebra	NOUN
ejpam-4832	7	22	.	.	PUNCT
ejpam-4832	8	1	2020	2020	NUM
ejpam-4832	8	2	mathematics	mathematic	NOUN
ejpam-4832	8	3	subject	subject	NOUN
ejpam-4832	8	4	classifications	classification	NOUN
ejpam-4832	8	5	:	:	PUNCT
ejpam-4832	8	6	03g25	03g25	NUM
ejpam-4832	8	7	,	,	PUNCT
ejpam-4832	8	8	06f35	06f35	NUM
ejpam-4832	8	9	,	,	PUNCT
ejpam-4832	8	10	08a72	08a72	NOUN
ejpam-4832	8	11	key	key	ADJ
ejpam-4832	8	12	words	word	NOUN
ejpam-4832	8	13	and	and	CCONJ
ejpam-4832	8	14	phrases	phrase	NOUN
ejpam-4832	8	15	:	:	PUNCT
ejpam-4832	8	16	intuitionistic	intuitionistic	ADJ
ejpam-4832	8	17	fuzzy	fuzzy	ADJ
ejpam-4832	8	18	point	point	NOUN
ejpam-4832	8	19	,	,	PUNCT
ejpam-4832	8	20	intuitionistic	intuitionistic	ADJ
ejpam-4832	8	21	fuzzy	fuzzy	ADJ
ejpam-4832	8	22	(	(	PUNCT
ejpam-4832	8	23	ordered	order	VERB
ejpam-4832	8	24	)	)	PUNCT
ejpam-4832	8	25	subalgebra	subalgebra	NOUN
ejpam-4832	8	26	,	,	PUNCT
ejpam-4832	8	27	q(t	q(t	ADJ
ejpam-4832	8	28	,	,	PUNCT
ejpam-4832	8	29	s)-level	s)-level	VERB
ejpam-4832	8	30	set	set	VERB
ejpam-4832	8	31	1	1	NUM
ejpam-4832	8	32	.	.	PUNCT
ejpam-4832	9	1	introduction	introduction	NOUN
ejpam-4832	9	2	the	the	DET
ejpam-4832	9	3	speed	speed	NOUN
ejpam-4832	9	4	of	of	ADP
ejpam-4832	9	5	development	development	NOUN
ejpam-4832	9	6	of	of	ADP
ejpam-4832	9	7	mathematics	mathematic	NOUN
ejpam-4832	9	8	can	can	AUX
ejpam-4832	9	9	not	not	PART
ejpam-4832	9	10	be	be	AUX
ejpam-4832	9	11	said	say	VERB
ejpam-4832	9	12	to	to	PART
ejpam-4832	9	13	be	be	AUX
ejpam-4832	9	14	fast	fast	ADJ
ejpam-4832	9	15	,	,	PUNCT
ejpam-4832	9	16	but	but	CCONJ
ejpam-4832	9	17	it	it	PRON
ejpam-4832	9	18	is	be	AUX
ejpam-4832	9	19	clear	clear	ADJ
ejpam-4832	9	20	that	that	SCONJ
ejpam-4832	9	21	it	it	PRON
ejpam-4832	9	22	is	be	AUX
ejpam-4832	9	23	changing	change	VERB
ejpam-4832	9	24	and	and	CCONJ
ejpam-4832	9	25	developing	develop	VERB
ejpam-4832	9	26	through	through	ADP
ejpam-4832	9	27	our	our	PRON
ejpam-4832	9	28	efforts	effort	NOUN
ejpam-4832	9	29	.	.	PUNCT
ejpam-4832	10	1	there	there	PRON
ejpam-4832	10	2	are	be	VERB
ejpam-4832	10	3	many	many	ADJ
ejpam-4832	10	4	examples	example	NOUN
ejpam-4832	10	5	showing	show	VERB
ejpam-4832	10	6	that	that	SCONJ
ejpam-4832	10	7	progress	progress	NOUN
ejpam-4832	10	8	is	be	AUX
ejpam-4832	10	9	being	be	AUX
ejpam-4832	10	10	made	make	VERB
ejpam-4832	10	11	,	,	PUNCT
ejpam-4832	10	12	but	but	CCONJ
ejpam-4832	10	13	so	so	ADV
ejpam-4832	10	14	is	be	AUX
ejpam-4832	10	15	the	the	DET
ejpam-4832	10	16	appearance	appearance	NOUN
ejpam-4832	10	17	of	of	ADP
ejpam-4832	10	18	bci	bci	NOUN
ejpam-4832	10	19	-	-	NOUN
ejpam-4832	10	20	algebra	algebra	NOUN
ejpam-4832	10	21	,	,	PUNCT
ejpam-4832	10	22	which	which	PRON
ejpam-4832	10	23	generalizes	generalize	VERB
ejpam-4832	10	24	groups	group	NOUN
ejpam-4832	10	25	,	,	PUNCT
ejpam-4832	10	26	and	and	CCONJ
ejpam-4832	10	27	ordered	order	VERB
ejpam-4832	10	28	bci	bci	NOUN
ejpam-4832	10	29	-	-	NOUN
ejpam-4832	10	30	algebra	algebra	NOUN
ejpam-4832	10	31	,	,	PUNCT
ejpam-4832	10	32	which	which	PRON
ejpam-4832	10	33	generalizes	generalize	VERB
ejpam-4832	10	34	bci	bci	NOUN
ejpam-4832	10	35	-	-	NOUN
ejpam-4832	10	36	algebra	algebra	NOUN
ejpam-4832	10	37	.	.	PUNCT
ejpam-4832	11	1	however	however	ADV
ejpam-4832	11	2	,	,	PUNCT
ejpam-4832	11	3	progress	progress	NOUN
ejpam-4832	11	4	is	be	AUX
ejpam-4832	11	5	not	not	PART
ejpam-4832	11	6	fast	fast	ADJ
ejpam-4832	11	7	.	.	PUNCT
ejpam-4832	12	1	bci	bci	NOUN
ejpam-4832	12	2	-	-	PUNCT
ejpam-4832	12	3	algebra	algebra	PROPN
ejpam-4832	12	4	was	be	AUX
ejpam-4832	12	5	introduced	introduce	VERB
ejpam-4832	12	6	by	by	ADP
ejpam-4832	12	7	y.	y.	PROPN
ejpam-4832	12	8	imai	imai	PROPN
ejpam-4832	12	9	and	and	CCONJ
ejpam-4832	12	10	k.	k.	PROPN
ejpam-4832	12	11	iséki	iséki	PROPN
ejpam-4832	13	1	[	[	X
ejpam-4832	13	2	11	11	NUM
ejpam-4832	13	3	]	]	PUNCT
ejpam-4832	13	4	in	in	ADP
ejpam-4832	13	5	1996	1996	NUM
ejpam-4832	13	6	(	(	PUNCT
ejpam-4832	13	7	see	see	VERB
ejpam-4832	13	8	[	[	X
ejpam-4832	13	9	10	10	NUM
ejpam-4832	13	10	]	]	NUM
ejpam-4832	13	11	)	)	PUNCT
ejpam-4832	13	12	,	,	PUNCT
ejpam-4832	13	13	and	and	CCONJ
ejpam-4832	13	14	ordered	order	VERB
ejpam-4832	13	15	bci	bci	NOUN
ejpam-4832	13	16	-	-	NOUN
ejpam-4832	13	17	algebra	algebra	NOUN
ejpam-4832	13	18	was	be	AUX
ejpam-4832	13	19	introduced	introduce	VERB
ejpam-4832	13	20	by	by	ADP
ejpam-4832	13	21	e.	e.	PROPN
ejpam-4832	13	22	yang	yang	PROPN
ejpam-4832	13	23	,	,	PUNCT
ejpam-4832	13	24	e.	e.	PROPN
ejpam-4832	13	25	h.	h.	PROPN
ejpam-4832	13	26	roh	roh	PROPN
ejpam-4832	13	27	and	and	CCONJ
ejpam-4832	13	28	y.	y.	PROPN
ejpam-4832	13	29	b.	b.	PROPN
ejpam-4832	13	30	jun	jun	PROPN
ejpam-4832	14	1	[	[	X
ejpam-4832	14	2	8	8	NUM
ejpam-4832	14	3	]	]	PUNCT
ejpam-4832	14	4	in	in	ADP
ejpam-4832	14	5	2023	2023	NUM
ejpam-4832	14	6	.	.	PUNCT
ejpam-4832	15	1	in	in	ADP
ejpam-4832	15	2	[	[	X
ejpam-4832	15	3	8	8	NUM
ejpam-4832	15	4	]	]	PUNCT
ejpam-4832	15	5	,	,	PUNCT
ejpam-4832	15	6	they	they	PRON
ejpam-4832	15	7	introduced	introduce	VERB
ejpam-4832	15	8	the	the	DET
ejpam-4832	15	9	notions	notion	NOUN
ejpam-4832	15	10	of	of	ADP
ejpam-4832	15	11	ordered	order	VERB
ejpam-4832	15	12	bci	bci	NOUN
ejpam-4832	15	13	-	-	PUNCT
ejpam-4832	15	14	algebras	algebra	NOUN
ejpam-4832	15	15	and	and	CCONJ
ejpam-4832	15	16	(	(	PUNCT
ejpam-4832	15	17	ordered	order	VERB
ejpam-4832	15	18	)	)	PUNCT
ejpam-4832	15	19	subalgebras	subalgebras	PROPN
ejpam-4832	15	20	and	and	CCONJ
ejpam-4832	15	21	(	(	PUNCT
ejpam-4832	15	22	ordered	order	VERB
ejpam-4832	15	23	)	)	PUNCT
ejpam-4832	15	24	filters	filter	NOUN
ejpam-4832	15	25	of	of	ADP
ejpam-4832	15	26	ordered	order	VERB
ejpam-4832	15	27	bci	bci	NOUN
ejpam-4832	15	28	-	-	NOUN
ejpam-4832	15	29	algebras	algebra	NOUN
ejpam-4832	15	30	,	,	PUNCT
ejpam-4832	15	31	and	and	CCONJ
ejpam-4832	15	32	related	related	ADJ
ejpam-4832	15	33	properties	property	NOUN
ejpam-4832	15	34	are	be	AUX
ejpam-4832	15	35	investigated	investigate	VERB
ejpam-4832	15	36	.	.	PUNCT
ejpam-4832	16	1	moreover	moreover	ADV
ejpam-4832	16	2	,	,	PUNCT
ejpam-4832	16	3	some	some	DET
ejpam-4832	16	4	specific	specific	ADJ
ejpam-4832	16	5	filters	filter	NOUN
ejpam-4832	16	6	are	be	AUX
ejpam-4832	16	7	introduced	introduce	VERB
ejpam-4832	16	8	and	and	CCONJ
ejpam-4832	16	9	their	their	PRON
ejpam-4832	16	10	relations	relation	NOUN
ejpam-4832	16	11	are	be	AUX
ejpam-4832	16	12	discussed	discuss	VERB
ejpam-4832	16	13	.	.	PUNCT
ejpam-4832	17	1	∗corresponding	∗corresponde	VERB
ejpam-4832	17	2	author	author	NOUN
ejpam-4832	17	3	.	.	PUNCT
ejpam-4832	18	1	doi	doi	NOUN
ejpam-4832	18	2	:	:	PUNCT
ejpam-4832	18	3	https://doi.org/10.29020/nybg.ejpam.v16i3.4832	https://doi.org/10.29020/nybg.ejpam.v16i3.4832	NOUN
ejpam-4832	18	4	email	email	NOUN
ejpam-4832	18	5	addresses	address	NOUN
ejpam-4832	18	6	:	:	PUNCT
ejpam-4832	18	7	ehroh9988@gmail.com	ehroh9988@gmail.com	X
ejpam-4832	18	8	(	(	PUNCT
ejpam-4832	18	9	e.	e.	PROPN
ejpam-4832	18	10	h.	h.	PROPN
ejpam-4832	18	11	roh	roh	PROPN
ejpam-4832	18	12	)	)	PUNCT
ejpam-4832	18	13	,	,	PUNCT
ejpam-4832	18	14	eunsyang@jbnu.ac.kr	eunsyang@jbnu.ac.kr	X
ejpam-4832	18	15	(	(	PUNCT
ejpam-4832	18	16	e.	e.	PROPN
ejpam-4832	18	17	yang	yang	PROPN
ejpam-4832	18	18	)	)	PUNCT
ejpam-4832	18	19	,	,	PUNCT
ejpam-4832	18	20	skywine@gmail.com	skywine@gmail.com	X
ejpam-4832	19	1	(	(	PUNCT
ejpam-4832	19	2	y.	y.	PROPN
ejpam-4832	19	3	b.	b.	PROPN
ejpam-4832	19	4	jun	jun	PROPN
ejpam-4832	19	5	)	)	PUNCT
ejpam-4832	19	6	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4832	19	7	1342	1342	NUM
ejpam-4832	20	1	©	©	PROPN
ejpam-4832	20	2	2023	2023	NUM
ejpam-4832	20	3	ejpam	ejpam	NOUN
ejpam-4832	20	4	all	all	DET
ejpam-4832	20	5	rights	right	NOUN
ejpam-4832	20	6	reserved	reserve	VERB
ejpam-4832	20	7	.	.	PUNCT
ejpam-4832	21	1	e.	e.	PROPN
ejpam-4832	21	2	h.	h.	PROPN
ejpam-4832	21	3	roh	roh	PROPN
ejpam-4832	21	4	,	,	PUNCT
ejpam-4832	21	5	e.	e.	PROPN
ejpam-4832	21	6	yang	yang	PROPN
ejpam-4832	21	7	,	,	PUNCT
ejpam-4832	21	8	y.	y.	PROPN
ejpam-4832	21	9	b.	b.	PROPN
ejpam-4832	21	10	jun	jun	PROPN
ejpam-4832	21	11	/	/	SYM
ejpam-4832	21	12	eur	eur	PROPN
ejpam-4832	21	13	.	.	PUNCT
ejpam-4832	22	1	j.	j.	PROPN
ejpam-4832	22	2	pure	pure	PROPN
ejpam-4832	22	3	appl	appl	PROPN
ejpam-4832	22	4	.	.	PROPN
ejpam-4832	22	5	math	math	PROPN
ejpam-4832	22	6	,	,	PUNCT
ejpam-4832	22	7	16	16	NUM
ejpam-4832	22	8	(	(	PUNCT
ejpam-4832	22	9	3	3	NUM
ejpam-4832	22	10	)	)	PUNCT
ejpam-4832	22	11	(	(	PUNCT
ejpam-4832	22	12	2023	2023	NUM
ejpam-4832	22	13	)	)	PUNCT
ejpam-4832	22	14	,	,	PUNCT
ejpam-4832	22	15	1342	1342	NUM
ejpam-4832	22	16	-	-	SYM
ejpam-4832	22	17	1358	1358	NUM
ejpam-4832	22	18	1343	1343	NUM
ejpam-4832	22	19	l.	l.	PROPN
ejpam-4832	22	20	a.	a.	PROPN
ejpam-4832	22	21	zadeh	zadeh	PROPN
ejpam-4832	23	1	[	[	X
ejpam-4832	23	2	19	19	NUM
ejpam-4832	23	3	]	]	PUNCT
ejpam-4832	23	4	introduced	introduce	VERB
ejpam-4832	23	5	the	the	DET
ejpam-4832	23	6	degrees	degree	NOUN
ejpam-4832	23	7	of	of	ADP
ejpam-4832	23	8	membership	membership	NOUN
ejpam-4832	23	9	and	and	CCONJ
ejpam-4832	23	10	truth	truth	NOUN
ejpam-4832	23	11	(	(	PUNCT
ejpam-4832	23	12	t	t	NOUN
ejpam-4832	23	13	)	)	PUNCT
ejpam-4832	23	14	in	in	ADP
ejpam-4832	23	15	1965	1965	NUM
ejpam-4832	23	16	and	and	CCONJ
ejpam-4832	23	17	defined	define	VERB
ejpam-4832	23	18	the	the	DET
ejpam-4832	23	19	fuzzy	fuzzy	ADJ
ejpam-4832	23	20	set	set	NOUN
ejpam-4832	23	21	.	.	PUNCT
ejpam-4832	24	1	as	as	SCONJ
ejpam-4832	24	2	is	be	AUX
ejpam-4832	24	3	so	so	ADV
ejpam-4832	24	4	well	well	ADV
ejpam-4832	24	5	known	know	VERB
ejpam-4832	24	6	,	,	PUNCT
ejpam-4832	24	7	a	a	DET
ejpam-4832	24	8	fuzzy	fuzzy	ADJ
ejpam-4832	24	9	set	set	NOUN
ejpam-4832	24	10	is	be	AUX
ejpam-4832	24	11	a	a	DET
ejpam-4832	24	12	mathematical	mathematical	ADJ
ejpam-4832	24	13	concept	concept	NOUN
ejpam-4832	24	14	in	in	ADP
ejpam-4832	24	15	the	the	DET
ejpam-4832	24	16	field	field	NOUN
ejpam-4832	24	17	of	of	ADP
ejpam-4832	24	18	fuzzy	fuzzy	ADJ
ejpam-4832	24	19	logic	logic	NOUN
ejpam-4832	24	20	that	that	PRON
ejpam-4832	24	21	represents	represent	VERB
ejpam-4832	24	22	a	a	DET
ejpam-4832	24	23	set	set	NOUN
ejpam-4832	24	24	where	where	SCONJ
ejpam-4832	24	25	elements	element	NOUN
ejpam-4832	24	26	have	have	VERB
ejpam-4832	24	27	degrees	degree	NOUN
ejpam-4832	24	28	of	of	ADP
ejpam-4832	24	29	membership	membership	NOUN
ejpam-4832	24	30	.	.	PUNCT
ejpam-4832	25	1	many	many	ADJ
ejpam-4832	25	2	mathematicians	mathematician	NOUN
ejpam-4832	25	3	have	have	AUX
ejpam-4832	25	4	conducted	conduct	VERB
ejpam-4832	25	5	research	research	NOUN
ejpam-4832	25	6	to	to	PART
ejpam-4832	25	7	connect	connect	VERB
ejpam-4832	25	8	the	the	DET
ejpam-4832	25	9	algebraic	algebraic	ADJ
ejpam-4832	25	10	structure	structure	NOUN
ejpam-4832	25	11	with	with	ADP
ejpam-4832	25	12	the	the	DET
ejpam-4832	25	13	fuzzy	fuzzy	ADJ
ejpam-4832	25	14	concept	concept	NOUN
ejpam-4832	25	15	and	and	CCONJ
ejpam-4832	25	16	obtained	obtain	VERB
ejpam-4832	25	17	meaningful	meaningful	ADJ
ejpam-4832	25	18	results(see	results(see	NOUN
ejpam-4832	26	1	[	[	X
ejpam-4832	26	2	6	6	NUM
ejpam-4832	26	3	,	,	PUNCT
ejpam-4832	26	4	12–18	12–18	NUM
ejpam-4832	26	5	]	]	PUNCT
ejpam-4832	26	6	)	)	PUNCT
ejpam-4832	26	7	.	.	PUNCT
ejpam-4832	27	1	the	the	DET
ejpam-4832	27	2	concepts	concept	NOUN
ejpam-4832	27	3	of	of	ADP
ejpam-4832	27	4	the	the	DET
ejpam-4832	27	5	fuzzification	fuzzification	NOUN
ejpam-4832	27	6	of	of	ADP
ejpam-4832	27	7	ordered	order	VERB
ejpam-4832	27	8	subalgebras	subalgebras	PROPN
ejpam-4832	27	9	in	in	ADP
ejpam-4832	27	10	ordered	order	VERB
ejpam-4832	27	11	bci	bci	NOUN
ejpam-4832	27	12	-	-	PUNCT
ejpam-4832	27	13	algebras	algebras	PROPN
ejpam-4832	27	14	were	be	AUX
ejpam-4832	27	15	introduced	introduce	VERB
ejpam-4832	27	16	,	,	PUNCT
ejpam-4832	27	17	and	and	CCONJ
ejpam-4832	27	18	related	related	ADJ
ejpam-4832	27	19	properties	property	NOUN
ejpam-4832	27	20	were	be	AUX
ejpam-4832	27	21	investigated	investigate	VERB
ejpam-4832	27	22	in	in	ADP
ejpam-4832	27	23	[	[	X
ejpam-4832	27	24	7	7	NUM
ejpam-4832	27	25	]	]	PUNCT
ejpam-4832	27	26	.	.	PUNCT
ejpam-4832	28	1	after	after	ADP
ejpam-4832	28	2	introduction	introduction	NOUN
ejpam-4832	28	3	of	of	ADP
ejpam-4832	28	4	fuzzy	fuzzy	ADJ
ejpam-4832	28	5	sets	set	NOUN
ejpam-4832	28	6	by	by	ADP
ejpam-4832	28	7	zadeh	zadeh	PROPN
ejpam-4832	28	8	,	,	PUNCT
ejpam-4832	28	9	there	there	PRON
ejpam-4832	28	10	have	have	AUX
ejpam-4832	28	11	been	be	AUX
ejpam-4832	28	12	a	a	DET
ejpam-4832	28	13	number	number	NOUN
ejpam-4832	28	14	of	of	ADP
ejpam-4832	28	15	generalizations	generalization	NOUN
ejpam-4832	28	16	of	of	ADP
ejpam-4832	28	17	this	this	DET
ejpam-4832	28	18	fundamental	fundamental	ADJ
ejpam-4832	28	19	concept	concept	NOUN
ejpam-4832	28	20	.	.	PUNCT
ejpam-4832	29	1	the	the	DET
ejpam-4832	29	2	notion	notion	NOUN
ejpam-4832	29	3	of	of	ADP
ejpam-4832	29	4	intuitionistic	intuitionistic	ADJ
ejpam-4832	29	5	fuzzy	fuzzy	ADJ
ejpam-4832	29	6	sets	set	NOUN
ejpam-4832	29	7	(	(	PUNCT
ejpam-4832	29	8	ifs	ifs	PROPN
ejpam-4832	29	9	)	)	PUNCT
ejpam-4832	29	10	introduced	introduce	VERB
ejpam-4832	29	11	by	by	ADP
ejpam-4832	29	12	k.	k.	PROPN
ejpam-4832	29	13	atanassov	atanassov	PROPN
ejpam-4832	29	14	[	[	X
ejpam-4832	29	15	1–4	1–4	X
ejpam-4832	29	16	]	]	X
ejpam-4832	29	17	is	be	AUX
ejpam-4832	29	18	one	one	NUM
ejpam-4832	29	19	among	among	ADP
ejpam-4832	29	20	them	they	PRON
ejpam-4832	29	21	.	.	PUNCT
ejpam-4832	30	1	ifs	ifs	PROPN
ejpam-4832	30	2	are	be	AUX
ejpam-4832	30	3	a	a	DET
ejpam-4832	30	4	mathematical	mathematical	ADJ
ejpam-4832	30	5	concept	concept	NOUN
ejpam-4832	30	6	in	in	ADP
ejpam-4832	30	7	the	the	DET
ejpam-4832	30	8	field	field	NOUN
ejpam-4832	30	9	of	of	ADP
ejpam-4832	30	10	fuzzy	fuzzy	ADJ
ejpam-4832	30	11	set	set	NOUN
ejpam-4832	30	12	theory	theory	NOUN
ejpam-4832	30	13	.	.	PUNCT
ejpam-4832	31	1	ifs	ifs	PROPN
ejpam-4832	31	2	are	be	AUX
ejpam-4832	31	3	a	a	DET
ejpam-4832	31	4	generalization	generalization	NOUN
ejpam-4832	31	5	of	of	ADP
ejpam-4832	31	6	traditional	traditional	ADJ
ejpam-4832	31	7	fuzzy	fuzzy	ADJ
ejpam-4832	31	8	sets	set	NOUN
ejpam-4832	31	9	,	,	PUNCT
ejpam-4832	31	10	allowing	allow	VERB
ejpam-4832	31	11	for	for	ADP
ejpam-4832	31	12	partial	partial	ADJ
ejpam-4832	31	13	membership	membership	NOUN
ejpam-4832	31	14	and	and	CCONJ
ejpam-4832	31	15	uncertainty	uncertainty	NOUN
ejpam-4832	31	16	.	.	PUNCT
ejpam-4832	32	1	in	in	ADP
ejpam-4832	32	2	an	an	DET
ejpam-4832	32	3	ifs	ifs	PROPN
ejpam-4832	32	4	,	,	PUNCT
ejpam-4832	32	5	an	an	DET
ejpam-4832	32	6	element	element	NOUN
ejpam-4832	32	7	may	may	AUX
ejpam-4832	32	8	have	have	VERB
ejpam-4832	32	9	a	a	DET
ejpam-4832	32	10	degree	degree	NOUN
ejpam-4832	32	11	of	of	ADP
ejpam-4832	32	12	membership	membership	NOUN
ejpam-4832	32	13	,	,	PUNCT
ejpam-4832	32	14	but	but	CCONJ
ejpam-4832	32	15	also	also	ADV
ejpam-4832	32	16	a	a	DET
ejpam-4832	32	17	degree	degree	NOUN
ejpam-4832	32	18	of	of	ADP
ejpam-4832	32	19	non	non	ADJ
ejpam-4832	32	20	-	-	NOUN
ejpam-4832	32	21	membership	membership	NOUN
ejpam-4832	32	22	,	,	PUNCT
ejpam-4832	32	23	which	which	PRON
ejpam-4832	32	24	represents	represent	VERB
ejpam-4832	32	25	the	the	DET
ejpam-4832	32	26	uncertainty	uncertainty	NOUN
ejpam-4832	32	27	or	or	CCONJ
ejpam-4832	32	28	the	the	DET
ejpam-4832	32	29	lack	lack	NOUN
ejpam-4832	32	30	of	of	ADP
ejpam-4832	32	31	information	information	NOUN
ejpam-4832	32	32	about	about	ADP
ejpam-4832	32	33	its	its	PRON
ejpam-4832	32	34	membership	membership	NOUN
ejpam-4832	32	35	.	.	PUNCT
ejpam-4832	33	1	these	these	DET
ejpam-4832	33	2	two	two	NUM
ejpam-4832	33	3	degrees	degree	NOUN
ejpam-4832	33	4	of	of	ADP
ejpam-4832	33	5	membership	membership	NOUN
ejpam-4832	33	6	and	and	CCONJ
ejpam-4832	33	7	non	non	ADJ
ejpam-4832	33	8	-	-	ADJ
ejpam-4832	33	9	membership	membership	NOUN
ejpam-4832	33	10	are	be	AUX
ejpam-4832	33	11	used	use	VERB
ejpam-4832	33	12	to	to	PART
ejpam-4832	33	13	represent	represent	VERB
ejpam-4832	33	14	the	the	DET
ejpam-4832	33	15	degree	degree	NOUN
ejpam-4832	33	16	of	of	ADP
ejpam-4832	33	17	belief	belief	NOUN
ejpam-4832	33	18	and	and	CCONJ
ejpam-4832	33	19	disbelief	disbelief	NOUN
ejpam-4832	33	20	,	,	PUNCT
ejpam-4832	33	21	respectively	respectively	ADV
ejpam-4832	33	22	,	,	PUNCT
ejpam-4832	33	23	in	in	ADP
ejpam-4832	33	24	the	the	DET
ejpam-4832	33	25	membership	membership	NOUN
ejpam-4832	33	26	of	of	ADP
ejpam-4832	33	27	an	an	DET
ejpam-4832	33	28	element	element	NOUN
ejpam-4832	33	29	in	in	ADP
ejpam-4832	33	30	the	the	DET
ejpam-4832	33	31	set	set	NOUN
ejpam-4832	33	32	.	.	PUNCT
ejpam-4832	34	1	many	many	ADJ
ejpam-4832	34	2	mathematicians	mathematician	NOUN
ejpam-4832	34	3	have	have	AUX
ejpam-4832	34	4	conducted	conduct	VERB
ejpam-4832	34	5	research	research	NOUN
ejpam-4832	34	6	to	to	PART
ejpam-4832	34	7	connect	connect	VERB
ejpam-4832	34	8	the	the	DET
ejpam-4832	34	9	algebraic	algebraic	ADJ
ejpam-4832	34	10	structure	structure	NOUN
ejpam-4832	34	11	with	with	ADP
ejpam-4832	34	12	the	the	DET
ejpam-4832	34	13	concept	concept	NOUN
ejpam-4832	34	14	of	of	ADP
ejpam-4832	34	15	intuitionistic	intuitionistic	ADJ
ejpam-4832	34	16	fuzzy	fuzzy	ADJ
ejpam-4832	34	17	sets	set	NOUN
ejpam-4832	34	18	and	and	CCONJ
ejpam-4832	34	19	obtained	obtain	VERB
ejpam-4832	34	20	meaningful	meaningful	ADJ
ejpam-4832	34	21	results	result	NOUN
ejpam-4832	34	22	(	(	PUNCT
ejpam-4832	34	23	see	see	VERB
ejpam-4832	34	24	[	[	X
ejpam-4832	34	25	1–5	1–5	NUM
ejpam-4832	34	26	,	,	PUNCT
ejpam-4832	34	27	9	9	NUM
ejpam-4832	34	28	]	]	PUNCT
ejpam-4832	34	29	)	)	PUNCT
ejpam-4832	34	30	.	.	PUNCT
ejpam-4832	35	1	in	in	ADP
ejpam-4832	35	2	this	this	DET
ejpam-4832	35	3	paper	paper	NOUN
ejpam-4832	35	4	,	,	PUNCT
ejpam-4832	35	5	we	we	PRON
ejpam-4832	35	6	apply	apply	VERB
ejpam-4832	35	7	the	the	DET
ejpam-4832	35	8	concept	concept	NOUN
ejpam-4832	35	9	of	of	ADP
ejpam-4832	35	10	an	an	DET
ejpam-4832	35	11	ifs	ifs	PROPN
ejpam-4832	35	12	to	to	PART
ejpam-4832	35	13	ordered	order	VERB
ejpam-4832	35	14	subalgebras	subalgebras	PROPN
ejpam-4832	35	15	in	in	ADP
ejpam-4832	35	16	ordered	order	VERB
ejpam-4832	35	17	bci	bci	NOUN
ejpam-4832	35	18	-	-	PUNCT
ejpam-4832	35	19	algebras	algebras	X
ejpam-4832	35	20	.	.	PUNCT
ejpam-4832	36	1	we	we	PRON
ejpam-4832	36	2	introduce	introduce	VERB
ejpam-4832	36	3	the	the	DET
ejpam-4832	36	4	notion	notion	NOUN
ejpam-4832	36	5	of	of	ADP
ejpam-4832	36	6	an	an	DET
ejpam-4832	36	7	intuitionistic	intuitionistic	ADJ
ejpam-4832	36	8	fuzzy	fuzzy	ADJ
ejpam-4832	36	9	(	(	PUNCT
ejpam-4832	36	10	ordered	order	VERB
ejpam-4832	36	11	)	)	PUNCT
ejpam-4832	36	12	subalgebra	subalgebra	NOUN
ejpam-4832	36	13	in	in	SCONJ
ejpam-4832	36	14	ordered	order	VERB
ejpam-4832	36	15	bci	bci	NOUN
ejpam-4832	36	16	-	-	NOUN
ejpam-4832	36	17	algebras	algebras	X
ejpam-4832	36	18	,	,	PUNCT
ejpam-4832	36	19	and	and	CCONJ
ejpam-4832	36	20	investigate	investigate	VERB
ejpam-4832	36	21	some	some	DET
ejpam-4832	36	22	related	related	ADJ
ejpam-4832	36	23	properties	property	NOUN
ejpam-4832	36	24	.	.	PUNCT
ejpam-4832	37	1	we	we	PRON
ejpam-4832	37	2	provide	provide	VERB
ejpam-4832	37	3	relations	relation	NOUN
ejpam-4832	37	4	between	between	ADP
ejpam-4832	37	5	an	an	DET
ejpam-4832	37	6	intuitionistic	intuitionistic	ADJ
ejpam-4832	37	7	fuzzy	fuzzy	ADJ
ejpam-4832	37	8	ordered	order	VERB
ejpam-4832	37	9	subalgebra	subalgebra	NOUN
ejpam-4832	37	10	and	and	CCONJ
ejpam-4832	37	11	an	an	DET
ejpam-4832	37	12	intuitionistic	intuitionistic	ADJ
ejpam-4832	37	13	fuzzy	fuzzy	ADJ
ejpam-4832	37	14	subalgebra	subalgebra	NOUN
ejpam-4832	37	15	.	.	PUNCT
ejpam-4832	38	1	we	we	PRON
ejpam-4832	38	2	give	give	VERB
ejpam-4832	38	3	characterizations	characterization	NOUN
ejpam-4832	38	4	of	of	ADP
ejpam-4832	38	5	an	an	DET
ejpam-4832	38	6	intuitionistic	intuitionistic	ADJ
ejpam-4832	38	7	fuzzy	fuzzy	ADJ
ejpam-4832	38	8	(	(	PUNCT
ejpam-4832	38	9	ordered	ordered	ADJ
ejpam-4832	38	10	)	)	PUNCT
ejpam-4832	38	11	subalgebra	subalgebra	NOUN
ejpam-4832	38	12	.	.	PUNCT
ejpam-4832	39	1	2	2	X
ejpam-4832	39	2	.	.	X
ejpam-4832	39	3	preliminaries	preliminary	NOUN
ejpam-4832	39	4	definition	definition	NOUN
ejpam-4832	39	5	1	1	NUM
ejpam-4832	39	6	(	(	PUNCT
ejpam-4832	39	7	[	[	X
ejpam-4832	39	8	8	8	NUM
ejpam-4832	39	9	]	]	PUNCT
ejpam-4832	39	10	)	)	PUNCT
ejpam-4832	39	11	.	.	PUNCT
ejpam-4832	40	1	let	let	VERB
ejpam-4832	40	2	x	x	PRON
ejpam-4832	40	3	be	be	AUX
ejpam-4832	40	4	a	a	DET
ejpam-4832	40	5	set	set	NOUN
ejpam-4832	40	6	with	with	ADP
ejpam-4832	40	7	a	a	DET
ejpam-4832	40	8	binary	binary	ADJ
ejpam-4832	40	9	operation	operation	NOUN
ejpam-4832	40	10	“	"	PUNCT
ejpam-4832	40	11	→	→	SYM
ejpam-4832	40	12	”	"	PUNCT
ejpam-4832	40	13	,	,	PUNCT
ejpam-4832	40	14	a	a	DET
ejpam-4832	40	15	constant	constant	ADJ
ejpam-4832	40	16	“	"	PUNCT
ejpam-4832	40	17	e	e	NOUN
ejpam-4832	40	18	”	"	PUNCT
ejpam-4832	40	19	and	and	CCONJ
ejpam-4832	40	20	a	a	DET
ejpam-4832	40	21	binary	binary	ADJ
ejpam-4832	40	22	relation	relation	NOUN
ejpam-4832	40	23	“	"	PUNCT
ejpam-4832	40	24	≤x	≤x	PROPN
ejpam-4832	40	25	”	"	PUNCT
ejpam-4832	40	26	.	.	PUNCT
ejpam-4832	41	1	then	then	ADV
ejpam-4832	41	2	x	x	X
ejpam-4832	41	3	:	:	PUNCT
ejpam-4832	41	4	=	=	SYM
ejpam-4832	41	5	(	(	PUNCT
ejpam-4832	41	6	x	x	X
ejpam-4832	41	7	,	,	PUNCT
ejpam-4832	41	8	→	→	SYM
ejpam-4832	41	9	,	,	PUNCT
ejpam-4832	41	10	e	e	NOUN
ejpam-4832	41	11	,	,	PUNCT
ejpam-4832	41	12	≤x	≤x	PROPN
ejpam-4832	41	13	)	)	PUNCT
ejpam-4832	41	14	is	be	AUX
ejpam-4832	41	15	called	call	VERB
ejpam-4832	41	16	an	an	DET
ejpam-4832	41	17	ordered	order	VERB
ejpam-4832	41	18	bci	bci	NOUN
ejpam-4832	41	19	-	-	NOUN
ejpam-4832	41	20	algebra	algebra	NOUN
ejpam-4832	41	21	(	(	PUNCT
ejpam-4832	41	22	briefly	briefly	ADV
ejpam-4832	41	23	,	,	PUNCT
ejpam-4832	41	24	obci	obci	ADJ
ejpam-4832	41	25	-	-	PUNCT
ejpam-4832	41	26	algebra	algebra	NOUN
ejpam-4832	41	27	)	)	PUNCT
ejpam-4832	41	28	if	if	SCONJ
ejpam-4832	41	29	it	it	PRON
ejpam-4832	41	30	satisfies	satisfy	VERB
ejpam-4832	41	31	the	the	DET
ejpam-4832	41	32	following	follow	VERB
ejpam-4832	41	33	conditions	condition	NOUN
ejpam-4832	41	34	:	:	PUNCT
ejpam-4832	41	35	(	(	PUNCT
ejpam-4832	41	36	∀x	∀x	X
ejpam-4832	41	37	,	,	PUNCT
ejpam-4832	41	38	y	y	PROPN
ejpam-4832	41	39	,	,	PUNCT
ejpam-4832	41	40	z	z	NOUN
ejpam-4832	41	41	∈	∈	PROPN
ejpam-4832	41	42	x)(e	x)(e	PUNCT
ejpam-4832	42	1	≤x	≤x	NOUN
ejpam-4832	42	2	(	(	PUNCT
ejpam-4832	42	3	x	x	PROPN
ejpam-4832	42	4	→	→	SYM
ejpam-4832	42	5	y	y	NOUN
ejpam-4832	42	6	)	)	PUNCT
ejpam-4832	42	7	→	→	PUNCT
ejpam-4832	42	8	(	(	PUNCT
ejpam-4832	42	9	(	(	PUNCT
ejpam-4832	42	10	y	y	PROPN
ejpam-4832	42	11	→	→	SYM
ejpam-4832	42	12	z	z	NOUN
ejpam-4832	42	13	)	)	PUNCT
ejpam-4832	42	14	→	→	SYM
ejpam-4832	42	15	(	(	PUNCT
ejpam-4832	42	16	x	x	X
ejpam-4832	42	17	→	→	SYM
ejpam-4832	42	18	z	z	NOUN
ejpam-4832	42	19	)	)	PUNCT
ejpam-4832	42	20	)	)	PUNCT
ejpam-4832	42	21	)	)	PUNCT
ejpam-4832	42	22	,	,	PUNCT
ejpam-4832	42	23	(	(	PUNCT
ejpam-4832	42	24	1	1	X
ejpam-4832	42	25	)	)	PUNCT
ejpam-4832	42	26	(	(	PUNCT
ejpam-4832	42	27	∀x	∀x	X
ejpam-4832	42	28	,	,	PUNCT
ejpam-4832	42	29	y	y	PROPN
ejpam-4832	42	30	∈	∈	PROPN
ejpam-4832	42	31	x)(e	x)(e	PUNCT
ejpam-4832	43	1	≤x	≤x	NOUN
ejpam-4832	43	2	x	x	X
ejpam-4832	43	3	→	→	X
ejpam-4832	43	4	(	(	PUNCT
ejpam-4832	43	5	(	(	PUNCT
ejpam-4832	43	6	x	x	SYM
ejpam-4832	43	7	→	→	SYM
ejpam-4832	43	8	y	y	NOUN
ejpam-4832	43	9	)	)	PUNCT
ejpam-4832	43	10	→	→	SYM
ejpam-4832	43	11	y	y	PROPN
ejpam-4832	43	12	)	)	PUNCT
ejpam-4832	43	13	)	)	PUNCT
ejpam-4832	43	14	,	,	PUNCT
ejpam-4832	43	15	(	(	PUNCT
ejpam-4832	43	16	2	2	X
ejpam-4832	43	17	)	)	PUNCT
ejpam-4832	43	18	(	(	PUNCT
ejpam-4832	43	19	∀x	∀x	X
ejpam-4832	43	20	∈	∈	PROPN
ejpam-4832	43	21	x)(e	x)(e	PUNCT
ejpam-4832	44	1	≤x	≤x	NOUN
ejpam-4832	44	2	x	x	SYM
ejpam-4832	44	3	→	→	SYM
ejpam-4832	44	4	x	x	X
ejpam-4832	44	5	)	)	PUNCT
ejpam-4832	44	6	,	,	PUNCT
ejpam-4832	44	7	(	(	PUNCT
ejpam-4832	44	8	3	3	X
ejpam-4832	44	9	)	)	PUNCT
ejpam-4832	44	10	(	(	PUNCT
ejpam-4832	44	11	∀x	∀x	X
ejpam-4832	44	12	,	,	PUNCT
ejpam-4832	44	13	y	y	PROPN
ejpam-4832	44	14	∈	∈	PROPN
ejpam-4832	44	15	x)(e	x)(e	PUNCT
ejpam-4832	45	1	≤x	≤x	NOUN
ejpam-4832	45	2	x	x	X
ejpam-4832	45	3	→	→	SYM
ejpam-4832	45	4	y	y	PROPN
ejpam-4832	45	5	,	,	PUNCT
ejpam-4832	45	6	e	e	X
ejpam-4832	45	7	≤x	≤x	VERB
ejpam-4832	45	8	y	y	PROPN
ejpam-4832	45	9	→	→	SYM
ejpam-4832	45	10	x	x	X
ejpam-4832	45	11	⇒	⇒	NOUN
ejpam-4832	45	12	x	x	PUNCT
ejpam-4832	45	13	=	=	SYM
ejpam-4832	45	14	y	y	PROPN
ejpam-4832	45	15	)	)	PUNCT
ejpam-4832	45	16	,	,	PUNCT
ejpam-4832	45	17	(	(	PUNCT
ejpam-4832	45	18	4	4	X
ejpam-4832	45	19	)	)	PUNCT
ejpam-4832	45	20	(	(	PUNCT
ejpam-4832	45	21	∀x	∀x	X
ejpam-4832	45	22	,	,	PUNCT
ejpam-4832	45	23	y	y	PROPN
ejpam-4832	45	24	∈	∈	PROPN
ejpam-4832	45	25	x)(x	x)(x	PROPN
ejpam-4832	45	26	≤x	≤x	PROPN
ejpam-4832	45	27	y	y	PROPN
ejpam-4832	45	28	⇔	⇔	PROPN
ejpam-4832	45	29	e	e	PROPN
ejpam-4832	45	30	≤x	≤x	PROPN
ejpam-4832	45	31	x	x	SYM
ejpam-4832	45	32	→	→	SYM
ejpam-4832	45	33	y	y	PROPN
ejpam-4832	45	34	)	)	PUNCT
ejpam-4832	45	35	,	,	PUNCT
ejpam-4832	45	36	(	(	PUNCT
ejpam-4832	45	37	5	5	X
ejpam-4832	45	38	)	)	PUNCT
ejpam-4832	45	39	(	(	PUNCT
ejpam-4832	45	40	∀x	∀x	X
ejpam-4832	45	41	,	,	PUNCT
ejpam-4832	45	42	y	y	PROPN
ejpam-4832	45	43	∈	∈	PROPN
ejpam-4832	45	44	x)(e	x)(e	PUNCT
ejpam-4832	46	1	≤x	≤x	PROPN
ejpam-4832	46	2	x	x	X
ejpam-4832	46	3	,	,	PUNCT
ejpam-4832	46	4	x	x	SYM
ejpam-4832	46	5	≤x	≤x	VERB
ejpam-4832	46	6	y	y	PROPN
ejpam-4832	46	7	⇒	⇒	PROPN
ejpam-4832	46	8	e	e	PROPN
ejpam-4832	46	9	≤x	≤x	PROPN
ejpam-4832	46	10	y	y	PROPN
ejpam-4832	46	11	)	)	PUNCT
ejpam-4832	46	12	.	.	PUNCT
ejpam-4832	47	1	(	(	PUNCT
ejpam-4832	47	2	6	6	X
ejpam-4832	47	3	)	)	PUNCT
ejpam-4832	47	4	proposition	proposition	NOUN
ejpam-4832	47	5	1	1	NUM
ejpam-4832	47	6	(	(	PUNCT
ejpam-4832	47	7	[	[	X
ejpam-4832	47	8	8	8	NUM
ejpam-4832	47	9	]	]	NUM
ejpam-4832	47	10	)	)	PUNCT
ejpam-4832	47	11	.	.	PUNCT
ejpam-4832	48	1	every	every	DET
ejpam-4832	48	2	obci	obci	ADJ
ejpam-4832	48	3	-	-	PUNCT
ejpam-4832	48	4	algebra	algebra	NOUN
ejpam-4832	48	5	x	x	X
ejpam-4832	48	6	:	:	PUNCT
ejpam-4832	48	7	=	=	SYM
ejpam-4832	48	8	(	(	PUNCT
ejpam-4832	48	9	x	x	X
ejpam-4832	48	10	,	,	PUNCT
ejpam-4832	48	11	→	→	SYM
ejpam-4832	48	12	,	,	PUNCT
ejpam-4832	48	13	e	e	NOUN
ejpam-4832	48	14	,	,	PUNCT
ejpam-4832	48	15	≤x	≤x	PROPN
ejpam-4832	48	16	)	)	PUNCT
ejpam-4832	48	17	satisfies	satisfie	NOUN
ejpam-4832	48	18	:	:	PUNCT
ejpam-4832	48	19	(	(	PUNCT
ejpam-4832	48	20	∀x	∀x	X
ejpam-4832	48	21	∈	∈	PROPN
ejpam-4832	48	22	x)(e	x)(e	PUNCT
ejpam-4832	49	1	→	→	PUNCT
ejpam-4832	49	2	x	x	SYM
ejpam-4832	49	3	=	=	PUNCT
ejpam-4832	49	4	x	x	NOUN
ejpam-4832	49	5	)	)	PUNCT
ejpam-4832	49	6	.	.	PUNCT
ejpam-4832	50	1	(	(	PUNCT
ejpam-4832	50	2	7	7	X
ejpam-4832	50	3	)	)	PUNCT
ejpam-4832	50	4	(	(	PUNCT
ejpam-4832	50	5	∀x	∀x	X
ejpam-4832	50	6	,	,	PUNCT
ejpam-4832	50	7	y	y	PROPN
ejpam-4832	50	8	,	,	PUNCT
ejpam-4832	50	9	z	z	NOUN
ejpam-4832	50	10	∈	∈	PROPN
ejpam-4832	50	11	x)(z	x)(z	PUNCT
ejpam-4832	50	12	→	→	PUNCT
ejpam-4832	50	13	(	(	PUNCT
ejpam-4832	50	14	y	y	PROPN
ejpam-4832	50	15	→	→	SYM
ejpam-4832	50	16	x	x	X
ejpam-4832	50	17	)	)	PUNCT
ejpam-4832	50	18	=	=	SYM
ejpam-4832	50	19	y	y	PROPN
ejpam-4832	50	20	→	→	PUNCT
ejpam-4832	50	21	(	(	PUNCT
ejpam-4832	50	22	z	z	NOUN
ejpam-4832	50	23	→	→	SYM
ejpam-4832	50	24	x	x	NOUN
ejpam-4832	50	25	)	)	PUNCT
ejpam-4832	50	26	)	)	PUNCT
ejpam-4832	50	27	.	.	PUNCT
ejpam-4832	51	1	(	(	PUNCT
ejpam-4832	51	2	8)	8)	NUM
ejpam-4832	51	3	(	(	PUNCT
ejpam-4832	51	4	∀x	∀x	NUM
ejpam-4832	51	5	,	,	PUNCT
ejpam-4832	51	6	y	y	PROPN
ejpam-4832	51	7	,	,	PUNCT
ejpam-4832	51	8	z	z	NOUN
ejpam-4832	51	9	∈	∈	PROPN
ejpam-4832	51	10	x)(e	x)(e	PUNCT
ejpam-4832	52	1	≤x	≤x	NOUN
ejpam-4832	52	2	x	x	X
ejpam-4832	52	3	→	→	SYM
ejpam-4832	52	4	y	y	PROPN
ejpam-4832	52	5	⇒	⇒	NOUN
ejpam-4832	52	6	e	e	X
ejpam-4832	52	7	≤x	≤x	PROPN
ejpam-4832	52	8	(	(	PUNCT
ejpam-4832	52	9	y	y	PROPN
ejpam-4832	52	10	→	→	SYM
ejpam-4832	52	11	z	z	NOUN
ejpam-4832	52	12	)	)	PUNCT
ejpam-4832	52	13	→	→	SYM
ejpam-4832	52	14	(	(	PUNCT
ejpam-4832	52	15	x	x	X
ejpam-4832	52	16	→	→	SYM
ejpam-4832	52	17	z	z	NOUN
ejpam-4832	52	18	)	)	PUNCT
ejpam-4832	52	19	)	)	PUNCT
ejpam-4832	52	20	.	.	PUNCT
ejpam-4832	53	1	(	(	PUNCT
ejpam-4832	53	2	9	9	NUM
ejpam-4832	53	3	)	)	PUNCT
ejpam-4832	53	4	(	(	PUNCT
ejpam-4832	53	5	∀x	∀x	X
ejpam-4832	53	6	,	,	PUNCT
ejpam-4832	53	7	y	y	PROPN
ejpam-4832	53	8	,	,	PUNCT
ejpam-4832	53	9	z	z	NOUN
ejpam-4832	53	10	∈	∈	PROPN
ejpam-4832	53	11	x)(e	x)(e	PUNCT
ejpam-4832	54	1	≤x	≤x	NOUN
ejpam-4832	54	2	x	x	X
ejpam-4832	54	3	→	→	SYM
ejpam-4832	54	4	y	y	PROPN
ejpam-4832	54	5	,	,	PUNCT
ejpam-4832	54	6	e	e	X
ejpam-4832	54	7	≤x	≤x	VERB
ejpam-4832	54	8	y	y	PROPN
ejpam-4832	54	9	→	→	SYM
ejpam-4832	54	10	z	z	NOUN
ejpam-4832	54	11	⇒	⇒	NOUN
ejpam-4832	54	12	e	e	X
ejpam-4832	54	13	≤x	≤x	NOUN
ejpam-4832	54	14	x	x	INTJ
ejpam-4832	54	15	→	→	SYM
ejpam-4832	54	16	z	z	NOUN
ejpam-4832	54	17	)	)	PUNCT
ejpam-4832	54	18	.	.	PUNCT
ejpam-4832	55	1	(	(	PUNCT
ejpam-4832	55	2	10	10	NUM
ejpam-4832	55	3	)	)	PUNCT
ejpam-4832	55	4	e.	e.	PROPN
ejpam-4832	55	5	h.	h.	PROPN
ejpam-4832	55	6	roh	roh	PROPN
ejpam-4832	55	7	,	,	PUNCT
ejpam-4832	55	8	e.	e.	PROPN
ejpam-4832	55	9	yang	yang	PROPN
ejpam-4832	55	10	,	,	PUNCT
ejpam-4832	55	11	y.	y.	PROPN
ejpam-4832	55	12	b.	b.	PROPN
ejpam-4832	55	13	jun	jun	PROPN
ejpam-4832	55	14	/	/	SYM
ejpam-4832	55	15	eur	eur	PROPN
ejpam-4832	55	16	.	.	PUNCT
ejpam-4832	56	1	j.	j.	PROPN
ejpam-4832	56	2	pure	pure	PROPN
ejpam-4832	56	3	appl	appl	PROPN
ejpam-4832	56	4	.	.	PROPN
ejpam-4832	56	5	math	math	PROPN
ejpam-4832	56	6	,	,	PUNCT
ejpam-4832	56	7	16	16	NUM
ejpam-4832	56	8	(	(	PUNCT
ejpam-4832	56	9	3	3	NUM
ejpam-4832	56	10	)	)	PUNCT
ejpam-4832	56	11	(	(	PUNCT
ejpam-4832	56	12	2023	2023	NUM
ejpam-4832	56	13	)	)	PUNCT
ejpam-4832	56	14	,	,	PUNCT
ejpam-4832	56	15	1342	1342	NUM
ejpam-4832	56	16	-	-	SYM
ejpam-4832	56	17	1358	1358	NUM
ejpam-4832	56	18	1344	1344	NUM
ejpam-4832	56	19	(	(	PUNCT
ejpam-4832	56	20	∀x	∀x	NUM
ejpam-4832	56	21	,	,	PUNCT
ejpam-4832	56	22	y	y	PROPN
ejpam-4832	56	23	,	,	PUNCT
ejpam-4832	56	24	z	z	NOUN
ejpam-4832	56	25	∈	∈	PROPN
ejpam-4832	56	26	x)(e	x)(e	PUNCT
ejpam-4832	57	1	≤x	≤x	PROPN
ejpam-4832	57	2	(	(	PUNCT
ejpam-4832	57	3	z	z	NOUN
ejpam-4832	57	4	→	→	SYM
ejpam-4832	57	5	(	(	PUNCT
ejpam-4832	57	6	y	y	PROPN
ejpam-4832	57	7	→	→	SYM
ejpam-4832	57	8	x	x	NOUN
ejpam-4832	57	9	)	)	PUNCT
ejpam-4832	57	10	)	)	PUNCT
ejpam-4832	57	11	→	→	PUNCT
ejpam-4832	57	12	(	(	PUNCT
ejpam-4832	57	13	y	y	PROPN
ejpam-4832	57	14	→	→	SYM
ejpam-4832	57	15	(	(	PUNCT
ejpam-4832	57	16	z	z	NOUN
ejpam-4832	57	17	→	→	SYM
ejpam-4832	57	18	x	x	NOUN
ejpam-4832	57	19	)	)	PUNCT
ejpam-4832	57	20	)	)	PUNCT
ejpam-4832	57	21	)	)	PUNCT
ejpam-4832	57	22	.	.	PUNCT
ejpam-4832	58	1	(	(	PUNCT
ejpam-4832	58	2	11	11	NUM
ejpam-4832	58	3	)	)	PUNCT
ejpam-4832	58	4	(	(	PUNCT
ejpam-4832	58	5	∀x	∀x	X
ejpam-4832	58	6	,	,	PUNCT
ejpam-4832	58	7	y	y	PROPN
ejpam-4832	58	8	,	,	PUNCT
ejpam-4832	58	9	z	z	NOUN
ejpam-4832	58	10	∈	∈	PROPN
ejpam-4832	58	11	x)(e	x)(e	PUNCT
ejpam-4832	59	1	≤x	≤x	INTJ
ejpam-4832	59	2	z	z	NOUN
ejpam-4832	59	3	→	→	SYM
ejpam-4832	59	4	(	(	PUNCT
ejpam-4832	59	5	y	y	PROPN
ejpam-4832	59	6	→	→	SYM
ejpam-4832	59	7	x	x	X
ejpam-4832	59	8	)	)	PUNCT
ejpam-4832	59	9	⇒	⇒	NOUN
ejpam-4832	60	1	e	e	X
ejpam-4832	60	2	≤x	≤x	PROPN
ejpam-4832	60	3	y	y	PROPN
ejpam-4832	60	4	→	→	X
ejpam-4832	60	5	(	(	PUNCT
ejpam-4832	60	6	z	z	NOUN
ejpam-4832	60	7	→	→	SYM
ejpam-4832	60	8	x	x	NOUN
ejpam-4832	60	9	)	)	PUNCT
ejpam-4832	60	10	)	)	PUNCT
ejpam-4832	60	11	.	.	PUNCT
ejpam-4832	61	1	(	(	PUNCT
ejpam-4832	61	2	12	12	NUM
ejpam-4832	61	3	)	)	PUNCT
ejpam-4832	61	4	(	(	PUNCT
ejpam-4832	61	5	∀x	∀x	X
ejpam-4832	61	6	,	,	PUNCT
ejpam-4832	61	7	y	y	PROPN
ejpam-4832	61	8	∈	∈	PROPN
ejpam-4832	61	9	x)(((x	x)(((x	SYM
ejpam-4832	61	10	→	→	SYM
ejpam-4832	61	11	y	y	NOUN
ejpam-4832	61	12	)	)	PUNCT
ejpam-4832	61	13	→	→	SYM
ejpam-4832	61	14	y	y	X
ejpam-4832	61	15	)	)	PUNCT
ejpam-4832	61	16	→	→	PUNCT
ejpam-4832	61	17	y	y	NOUN
ejpam-4832	61	18	=	=	PUNCT
ejpam-4832	61	19	x	x	PROPN
ejpam-4832	61	20	→	→	SYM
ejpam-4832	61	21	y	y	PROPN
ejpam-4832	61	22	)	)	PUNCT
ejpam-4832	61	23	.	.	PUNCT
ejpam-4832	62	1	(	(	PUNCT
ejpam-4832	62	2	13	13	NUM
ejpam-4832	62	3	)	)	PUNCT
ejpam-4832	62	4	(	(	PUNCT
ejpam-4832	62	5	∀x	∀x	X
ejpam-4832	62	6	∈	∈	PROPN
ejpam-4832	62	7	x)((x	x)((x	NOUN
ejpam-4832	62	8	→	→	SYM
ejpam-4832	62	9	x	x	X
ejpam-4832	62	10	)	)	PUNCT
ejpam-4832	62	11	→	→	SYM
ejpam-4832	62	12	x	x	SYM
ejpam-4832	62	13	=	=	PUNCT
ejpam-4832	62	14	x	x	NOUN
ejpam-4832	62	15	)	)	PUNCT
ejpam-4832	62	16	.	.	PUNCT
ejpam-4832	63	1	(	(	PUNCT
ejpam-4832	63	2	14	14	NUM
ejpam-4832	63	3	)	)	PUNCT
ejpam-4832	63	4	(	(	PUNCT
ejpam-4832	63	5	∀x	∀x	X
ejpam-4832	63	6	,	,	PUNCT
ejpam-4832	63	7	y	y	PROPN
ejpam-4832	63	8	,	,	PUNCT
ejpam-4832	63	9	z	z	NOUN
ejpam-4832	63	10	∈	∈	PROPN
ejpam-4832	63	11	x)(e	x)(e	PUNCT
ejpam-4832	64	1	≤x	≤x	PROPN
ejpam-4832	64	2	(	(	PUNCT
ejpam-4832	64	3	y	y	PROPN
ejpam-4832	64	4	→	→	SYM
ejpam-4832	64	5	z	z	NOUN
ejpam-4832	64	6	)	)	PUNCT
ejpam-4832	64	7	→	→	X
ejpam-4832	64	8	(	(	PUNCT
ejpam-4832	64	9	(	(	PUNCT
ejpam-4832	64	10	x	x	SYM
ejpam-4832	64	11	→	→	SYM
ejpam-4832	64	12	y	y	NOUN
ejpam-4832	64	13	)	)	PUNCT
ejpam-4832	64	14	→	→	SYM
ejpam-4832	64	15	(	(	PUNCT
ejpam-4832	64	16	x	x	X
ejpam-4832	64	17	→	→	SYM
ejpam-4832	64	18	z	z	NOUN
ejpam-4832	64	19	)	)	PUNCT
ejpam-4832	64	20	)	)	PUNCT
ejpam-4832	64	21	)	)	PUNCT
ejpam-4832	64	22	.	.	PUNCT
ejpam-4832	65	1	(	(	PUNCT
ejpam-4832	65	2	15	15	NUM
ejpam-4832	65	3	)	)	PUNCT
ejpam-4832	65	4	(	(	PUNCT
ejpam-4832	65	5	∀x	∀x	X
ejpam-4832	65	6	,	,	PUNCT
ejpam-4832	65	7	y	y	PROPN
ejpam-4832	65	8	,	,	PUNCT
ejpam-4832	65	9	z	z	NOUN
ejpam-4832	65	10	∈	∈	PROPN
ejpam-4832	65	11	x)(e	x)(e	PUNCT
ejpam-4832	66	1	≤x	≤x	NOUN
ejpam-4832	66	2	x	x	X
ejpam-4832	66	3	→	→	SYM
ejpam-4832	66	4	y	y	PROPN
ejpam-4832	66	5	⇒	⇒	NOUN
ejpam-4832	66	6	e	e	X
ejpam-4832	66	7	≤x	≤x	PROPN
ejpam-4832	66	8	(	(	PUNCT
ejpam-4832	66	9	z	z	NOUN
ejpam-4832	66	10	→	→	SYM
ejpam-4832	66	11	x	x	X
ejpam-4832	66	12	)	)	PUNCT
ejpam-4832	66	13	→	→	SYM
ejpam-4832	66	14	(	(	PUNCT
ejpam-4832	66	15	z	z	PROPN
ejpam-4832	66	16	→	→	SYM
ejpam-4832	66	17	y	y	PROPN
ejpam-4832	66	18	)	)	PUNCT
ejpam-4832	66	19	)	)	PUNCT
ejpam-4832	66	20	.	.	PUNCT
ejpam-4832	67	1	(	(	PUNCT
ejpam-4832	67	2	16	16	NUM
ejpam-4832	67	3	)	)	PUNCT
ejpam-4832	67	4	definition	definition	NOUN
ejpam-4832	67	5	2	2	NUM
ejpam-4832	67	6	(	(	PUNCT
ejpam-4832	67	7	[	[	X
ejpam-4832	67	8	8	8	NUM
ejpam-4832	67	9	]	]	NUM
ejpam-4832	67	10	)	)	PUNCT
ejpam-4832	67	11	.	.	PUNCT
ejpam-4832	68	1	a	a	DET
ejpam-4832	68	2	subset	subset	NOUN
ejpam-4832	68	3	a	a	PRON
ejpam-4832	68	4	of	of	ADP
ejpam-4832	68	5	x	x	SYM
ejpam-4832	68	6	is	be	AUX
ejpam-4832	68	7	called	call	VERB
ejpam-4832	68	8	•	•	ADP
ejpam-4832	68	9	a	a	DET
ejpam-4832	68	10	subalgebra	subalgebra	NOUN
ejpam-4832	68	11	of	of	ADP
ejpam-4832	68	12	an	an	DET
ejpam-4832	68	13	obci	obci	ADJ
ejpam-4832	68	14	-	-	PUNCT
ejpam-4832	68	15	algebra	algebra	NOUN
ejpam-4832	68	16	x	x	X
ejpam-4832	68	17	:	:	PUNCT
ejpam-4832	68	18	=	=	SYM
ejpam-4832	68	19	(	(	PUNCT
ejpam-4832	68	20	x	x	X
ejpam-4832	68	21	,	,	PUNCT
ejpam-4832	68	22	→	→	SYM
ejpam-4832	68	23	,	,	PUNCT
ejpam-4832	68	24	e	e	NOUN
ejpam-4832	68	25	,	,	PUNCT
ejpam-4832	68	26	≤x	≤x	PROPN
ejpam-4832	68	27	)	)	PUNCT
ejpam-4832	68	28	if	if	SCONJ
ejpam-4832	68	29	it	it	PRON
ejpam-4832	68	30	satisfies	satisfy	VERB
ejpam-4832	68	31	:	:	PUNCT
ejpam-4832	68	32	(	(	PUNCT
ejpam-4832	68	33	∀x	∀x	X
ejpam-4832	68	34	,	,	PUNCT
ejpam-4832	68	35	y	y	PROPN
ejpam-4832	68	36	∈	∈	PROPN
ejpam-4832	68	37	x)(x	x)(x	PROPN
ejpam-4832	68	38	,	,	PUNCT
ejpam-4832	68	39	y	y	PROPN
ejpam-4832	68	40	∈	∈	PROPN
ejpam-4832	68	41	a	a	DET
ejpam-4832	68	42	⇒	⇒	NOUN
ejpam-4832	68	43	x	x	PUNCT
ejpam-4832	68	44	→	→	SYM
ejpam-4832	68	45	y	y	PROPN
ejpam-4832	68	46	∈	∈	PROPN
ejpam-4832	68	47	a	a	PRON
ejpam-4832	68	48	)	)	PUNCT
ejpam-4832	68	49	.	.	PUNCT
ejpam-4832	69	1	(	(	PUNCT
ejpam-4832	69	2	17	17	NUM
ejpam-4832	69	3	)	)	PUNCT
ejpam-4832	69	4	•	•	NOUN
ejpam-4832	69	5	an	an	DET
ejpam-4832	69	6	ordered	order	VERB
ejpam-4832	69	7	subalgebra	subalgebra	NOUN
ejpam-4832	69	8	of	of	ADP
ejpam-4832	69	9	an	an	DET
ejpam-4832	69	10	obci	obci	ADJ
ejpam-4832	69	11	-	-	PUNCT
ejpam-4832	69	12	algebra	algebra	NOUN
ejpam-4832	69	13	x	x	X
ejpam-4832	69	14	:	:	PUNCT
ejpam-4832	69	15	=	=	SYM
ejpam-4832	69	16	(	(	PUNCT
ejpam-4832	69	17	x	x	X
ejpam-4832	69	18	,	,	PUNCT
ejpam-4832	69	19	→	→	SYM
ejpam-4832	69	20	,	,	PUNCT
ejpam-4832	69	21	e	e	NOUN
ejpam-4832	69	22	,	,	PUNCT
ejpam-4832	69	23	≤x	≤x	PROPN
ejpam-4832	69	24	)	)	PUNCT
ejpam-4832	69	25	if	if	SCONJ
ejpam-4832	69	26	it	it	PRON
ejpam-4832	69	27	satisfies	satisfy	VERB
ejpam-4832	69	28	:	:	PUNCT
ejpam-4832	69	29	(	(	PUNCT
ejpam-4832	69	30	∀x	∀x	X
ejpam-4832	69	31	,	,	PUNCT
ejpam-4832	69	32	y	y	PROPN
ejpam-4832	69	33	∈	∈	PROPN
ejpam-4832	69	34	x)(x	x)(x	PROPN
ejpam-4832	69	35	,	,	PUNCT
ejpam-4832	69	36	y	y	PROPN
ejpam-4832	69	37	∈	∈	PROPN
ejpam-4832	70	1	a	a	PRON
ejpam-4832	70	2	,	,	PUNCT
ejpam-4832	70	3	e	e	NOUN
ejpam-4832	70	4	≤x	≤x	PROPN
ejpam-4832	70	5	x	x	X
ejpam-4832	70	6	,	,	PUNCT
ejpam-4832	70	7	e	e	PROPN
ejpam-4832	70	8	≤x	≤x	AUX
ejpam-4832	70	9	y	y	PROPN
ejpam-4832	70	10	⇒	⇒	VERB
ejpam-4832	70	11	x	x	PUNCT
ejpam-4832	70	12	→	→	PUNCT
ejpam-4832	70	13	y	y	PROPN
ejpam-4832	70	14	∈	∈	PROPN
ejpam-4832	70	15	a	a	PRON
ejpam-4832	70	16	)	)	PUNCT
ejpam-4832	70	17	.	.	PUNCT
ejpam-4832	71	1	(	(	PUNCT
ejpam-4832	71	2	18	18	NUM
ejpam-4832	71	3	)	)	PUNCT
ejpam-4832	71	4	a	a	DET
ejpam-4832	71	5	function	function	NOUN
ejpam-4832	71	6	f	f	NOUN
ejpam-4832	71	7	:	:	PUNCT
ejpam-4832	72	1	x	x	X
ejpam-4832	72	2	→	→	PUNCT
ejpam-4832	72	3	[	[	X
ejpam-4832	72	4	0	0	NUM
ejpam-4832	72	5	,	,	PUNCT
ejpam-4832	72	6	1	1	NUM
ejpam-4832	72	7	]	]	PUNCT
ejpam-4832	72	8	is	be	AUX
ejpam-4832	72	9	called	call	VERB
ejpam-4832	72	10	a	a	DET
ejpam-4832	72	11	fuzzy	fuzzy	ADJ
ejpam-4832	72	12	set	set	NOUN
ejpam-4832	72	13	in	in	ADP
ejpam-4832	72	14	a	a	DET
ejpam-4832	72	15	set	set	NOUN
ejpam-4832	72	16	x	x	NOUN
ejpam-4832	72	17	,	,	PUNCT
ejpam-4832	72	18	and	and	CCONJ
ejpam-4832	72	19	the	the	DET
ejpam-4832	72	20	complement	complement	NOUN
ejpam-4832	72	21	of	of	ADP
ejpam-4832	72	22	f	f	PROPN
ejpam-4832	72	23	is	be	AUX
ejpam-4832	72	24	denoted	denote	VERB
ejpam-4832	72	25	by	by	ADP
ejpam-4832	72	26	¬f	¬f	PROPN
ejpam-4832	72	27	,	,	PUNCT
ejpam-4832	72	28	and	and	CCONJ
ejpam-4832	72	29	is	be	AUX
ejpam-4832	72	30	given	give	VERB
ejpam-4832	72	31	as	as	SCONJ
ejpam-4832	72	32	follows	follow	VERB
ejpam-4832	72	33	:	:	PUNCT
ejpam-4832	72	34	¬f	¬f	PROPN
ejpam-4832	72	35	:	:	PUNCT
ejpam-4832	72	36	x	x	X
ejpam-4832	72	37	→	→	SYM
ejpam-4832	73	1	[	[	X
ejpam-4832	73	2	0	0	NUM
ejpam-4832	73	3	,	,	PUNCT
ejpam-4832	73	4	1	1	NUM
ejpam-4832	73	5	]	]	PUNCT
ejpam-4832	73	6	,	,	PUNCT
ejpam-4832	73	7	x	x	PROPN
ejpam-4832	73	8	7→	7→	NOUN
ejpam-4832	73	9	1−	1−	NUM
ejpam-4832	73	10	fi(x	fi(x	NUM
ejpam-4832	73	11	)	)	PUNCT
ejpam-4832	73	12	.	.	PUNCT
ejpam-4832	74	1	for	for	ADP
ejpam-4832	74	2	every	every	DET
ejpam-4832	74	3	fuzzy	fuzzy	ADJ
ejpam-4832	74	4	sets	set	VERB
ejpam-4832	74	5	f	f	PROPN
ejpam-4832	74	6	and	and	CCONJ
ejpam-4832	74	7	g	g	PROPN
ejpam-4832	74	8	in	in	ADP
ejpam-4832	74	9	x	x	SYM
ejpam-4832	74	10	,	,	PUNCT
ejpam-4832	74	11	we	we	PRON
ejpam-4832	74	12	say	say	VERB
ejpam-4832	74	13	f	f	NOUN
ejpam-4832	74	14	≤	≤	PROPN
ejpam-4832	74	15	g	g	NOUN
ejpam-4832	74	16	if	if	SCONJ
ejpam-4832	74	17	f(x	f(x	PROPN
ejpam-4832	74	18	)	)	PUNCT
ejpam-4832	74	19	≤	≤	PUNCT
ejpam-4832	75	1	g(x	g(x	NOUN
ejpam-4832	75	2	)	)	PUNCT
ejpam-4832	76	1	fo	fo	ADP
ejpam-4832	76	2	all	all	PRON
ejpam-4832	76	3	x	x	SYM
ejpam-4832	76	4	∈	∈	ADJ
ejpam-4832	76	5	x.	x.	NOUN
ejpam-4832	76	6	a	a	DET
ejpam-4832	76	7	fuzzy	fuzzy	ADJ
ejpam-4832	76	8	set	set	VERB
ejpam-4832	76	9	f	f	PROPN
ejpam-4832	76	10	in	in	ADP
ejpam-4832	76	11	a	a	DET
ejpam-4832	76	12	set	set	NOUN
ejpam-4832	76	13	x	x	X
ejpam-4832	76	14	of	of	ADP
ejpam-4832	76	15	the	the	DET
ejpam-4832	76	16	form	form	NOUN
ejpam-4832	76	17	f(b	f(b	PROPN
ejpam-4832	76	18	)	)	PUNCT
ejpam-4832	77	1	:	:	PUNCT
ejpam-4832	77	2	=	=	X
ejpam-4832	77	3	{	{	PUNCT
ejpam-4832	77	4	t	t	PROPN
ejpam-4832	77	5	∈	∈	PROPN
ejpam-4832	77	6	(	(	PUNCT
ejpam-4832	77	7	0	0	NUM
ejpam-4832	77	8	,	,	PUNCT
ejpam-4832	77	9	1	1	NUM
ejpam-4832	77	10	]	]	PUNCT
ejpam-4832	77	11	if	if	SCONJ
ejpam-4832	77	12	b	b	X
ejpam-4832	77	13	=	=	SYM
ejpam-4832	77	14	a	a	PROPN
ejpam-4832	77	15	,	,	PUNCT
ejpam-4832	77	16	0	0	PUNCT
ejpam-4832	77	17	if	if	SCONJ
ejpam-4832	77	18	b	b	X
ejpam-4832	77	19	̸=	̸=	PROPN
ejpam-4832	77	20	a	a	PRON
ejpam-4832	77	21	,	,	PUNCT
ejpam-4832	77	22	is	be	AUX
ejpam-4832	77	23	said	say	VERB
ejpam-4832	77	24	to	to	PART
ejpam-4832	77	25	be	be	AUX
ejpam-4832	77	26	a	a	DET
ejpam-4832	77	27	fuzzy	fuzzy	ADJ
ejpam-4832	77	28	point	point	NOUN
ejpam-4832	77	29	with	with	ADP
ejpam-4832	77	30	support	support	NOUN
ejpam-4832	77	31	a	a	PRON
ejpam-4832	77	32	and	and	CCONJ
ejpam-4832	77	33	value	value	NOUN
ejpam-4832	77	34	t	t	NOUN
ejpam-4832	77	35	and	and	CCONJ
ejpam-4832	77	36	is	be	AUX
ejpam-4832	77	37	denoted	denote	VERB
ejpam-4832	77	38	by	by	ADP
ejpam-4832	77	39	at	at	ADP
ejpam-4832	77	40	.	.	PUNCT
ejpam-4832	78	1	definition	definition	NOUN
ejpam-4832	78	2	3	3	NUM
ejpam-4832	78	3	(	(	PUNCT
ejpam-4832	78	4	[	[	X
ejpam-4832	78	5	7	7	NUM
ejpam-4832	78	6	]	]	NUM
ejpam-4832	78	7	)	)	PUNCT
ejpam-4832	78	8	.	.	PUNCT
ejpam-4832	79	1	a	a	DET
ejpam-4832	79	2	fuzzy	fuzzy	ADJ
ejpam-4832	79	3	set	set	NOUN
ejpam-4832	79	4	f	f	PROPN
ejpam-4832	79	5	in	in	ADP
ejpam-4832	79	6	x	x	PROPN
ejpam-4832	79	7	is	be	AUX
ejpam-4832	79	8	called	call	VERB
ejpam-4832	79	9	•	•	ADP
ejpam-4832	79	10	a	a	DET
ejpam-4832	79	11	fuzzy	fuzzy	ADJ
ejpam-4832	79	12	subalgebra	subalgebra	NOUN
ejpam-4832	79	13	of	of	ADP
ejpam-4832	79	14	an	an	DET
ejpam-4832	79	15	obci	obci	ADJ
ejpam-4832	79	16	-	-	PUNCT
ejpam-4832	79	17	algebra	algebra	NOUN
ejpam-4832	79	18	x	x	X
ejpam-4832	79	19	:	:	PUNCT
ejpam-4832	79	20	=	=	SYM
ejpam-4832	79	21	(	(	PUNCT
ejpam-4832	79	22	x	x	X
ejpam-4832	79	23	,	,	PUNCT
ejpam-4832	79	24	→	→	SYM
ejpam-4832	79	25	,	,	PUNCT
ejpam-4832	79	26	e	e	NOUN
ejpam-4832	79	27	,	,	PUNCT
ejpam-4832	79	28	≤x	≤x	PROPN
ejpam-4832	79	29	)	)	PUNCT
ejpam-4832	79	30	if	if	SCONJ
ejpam-4832	79	31	it	it	PRON
ejpam-4832	79	32	satisfies	satisfy	VERB
ejpam-4832	79	33	:	:	PUNCT
ejpam-4832	79	34	(	(	PUNCT
ejpam-4832	79	35	∀x	∀x	X
ejpam-4832	79	36	,	,	PUNCT
ejpam-4832	79	37	y	y	PROPN
ejpam-4832	79	38	∈	∈	PROPN
ejpam-4832	79	39	x)(∀t	x)(∀t	PROPN
ejpam-4832	79	40	,	,	PUNCT
ejpam-4832	79	41	s	s	PART
ejpam-4832	79	42	∈	∈	PROPN
ejpam-4832	79	43	(	(	PUNCT
ejpam-4832	79	44	0	0	NUM
ejpam-4832	79	45	,	,	PUNCT
ejpam-4832	79	46	1	1	NUM
ejpam-4832	79	47	]	]	NUM
ejpam-4832	79	48	)	)	PUNCT
ejpam-4832	79	49	(	(	PUNCT
ejpam-4832	79	50	xt	xt	PUNCT
ejpam-4832	79	51	∈	∈	PROPN
ejpam-4832	80	1	f	f	X
ejpam-4832	80	2	,	,	PUNCT
ejpam-4832	80	3	ys	ys	PROPN
ejpam-4832	80	4	∈	∈	PROPN
ejpam-4832	80	5	f	f	PROPN
ejpam-4832	80	6	⇒	⇒	PROPN
ejpam-4832	80	7	⟨(x	⟨(x	PROPN
ejpam-4832	80	8	→	→	SYM
ejpam-4832	80	9	y)min{t	y)min{t	PROPN
ejpam-4832	80	10	,	,	PUNCT
ejpam-4832	80	11	s}⟩	s}⟩	PROPN
ejpam-4832	80	12	∈	∈	PROPN
ejpam-4832	80	13	f.	f.	PROPN
ejpam-4832	80	14	)	)	PUNCT
ejpam-4832	80	15	.	.	PUNCT
ejpam-4832	81	1	(	(	PUNCT
ejpam-4832	81	2	19	19	NUM
ejpam-4832	81	3	)	)	PUNCT
ejpam-4832	81	4	•	•	NOUN
ejpam-4832	81	5	a	a	DET
ejpam-4832	81	6	fuzzy	fuzzy	ADJ
ejpam-4832	81	7	ordered	order	VERB
ejpam-4832	81	8	subalgebra	subalgebra	NOUN
ejpam-4832	81	9	of	of	ADP
ejpam-4832	81	10	an	an	DET
ejpam-4832	81	11	obci	obci	ADJ
ejpam-4832	81	12	-	-	PUNCT
ejpam-4832	81	13	algebra	algebra	NOUN
ejpam-4832	81	14	x	x	X
ejpam-4832	81	15	:	:	PUNCT
ejpam-4832	81	16	=	=	SYM
ejpam-4832	81	17	(	(	PUNCT
ejpam-4832	81	18	x	x	X
ejpam-4832	81	19	,	,	PUNCT
ejpam-4832	81	20	→	→	SYM
ejpam-4832	81	21	,	,	PUNCT
ejpam-4832	81	22	e	e	NOUN
ejpam-4832	81	23	,	,	PUNCT
ejpam-4832	81	24	≤x	≤x	PROPN
ejpam-4832	81	25	)	)	PUNCT
ejpam-4832	82	1	if	if	SCONJ
ejpam-4832	82	2	it	it	PRON
ejpam-4832	82	3	satisfies	satisfy	VERB
ejpam-4832	82	4	:	:	PUNCT
ejpam-4832	82	5	(	(	PUNCT
ejpam-4832	82	6	∀x	∀x	X
ejpam-4832	82	7	,	,	PUNCT
ejpam-4832	82	8	y	y	PROPN
ejpam-4832	82	9	∈	∈	PROPN
ejpam-4832	82	10	x)(e	x)(e	PUNCT
ejpam-4832	83	1	≤x	≤x	PROPN
ejpam-4832	83	2	x	x	X
ejpam-4832	83	3	,	,	PUNCT
ejpam-4832	83	4	e	e	PROPN
ejpam-4832	83	5	≤x	≤x	PROPN
ejpam-4832	83	6	y	y	PROPN
ejpam-4832	83	7	⇒	⇒	VERB
ejpam-4832	83	8	f(x	f(x	PROPN
ejpam-4832	83	9	→	→	SYM
ejpam-4832	83	10	y	y	PROPN
ejpam-4832	83	11	)	)	PUNCT
ejpam-4832	83	12	≥	≥	NOUN
ejpam-4832	83	13	min{f(x	min{f(x	NOUN
ejpam-4832	83	14	)	)	PUNCT
ejpam-4832	83	15	,	,	PUNCT
ejpam-4832	83	16	f(y	f(y	NOUN
ejpam-4832	83	17	)	)	PUNCT
ejpam-4832	83	18	}	}	PUNCT
ejpam-4832	83	19	)	)	PUNCT
ejpam-4832	83	20	.	.	PUNCT
ejpam-4832	84	1	(	(	PUNCT
ejpam-4832	84	2	20	20	NUM
ejpam-4832	84	3	)	)	PUNCT
ejpam-4832	84	4	the	the	DET
ejpam-4832	84	5	concept	concept	NOUN
ejpam-4832	84	6	of	of	ADP
ejpam-4832	84	7	intuitionistic	intuitionistic	ADJ
ejpam-4832	84	8	fuzzy	fuzzy	ADJ
ejpam-4832	84	9	set	set	NOUN
ejpam-4832	84	10	was	be	AUX
ejpam-4832	84	11	introduced	introduce	VERB
ejpam-4832	84	12	by	by	ADP
ejpam-4832	84	13	atanassov	atanassov	PROPN
ejpam-4832	84	14	(	(	PUNCT
ejpam-4832	84	15	see	see	VERB
ejpam-4832	84	16	[	[	X
ejpam-4832	84	17	1	1	NUM
ejpam-4832	84	18	,	,	PUNCT
ejpam-4832	84	19	2	2	NUM
ejpam-4832	84	20	,	,	PUNCT
ejpam-4832	84	21	4	4	NUM
ejpam-4832	84	22	]	]	PUNCT
ejpam-4832	84	23	)	)	PUNCT
ejpam-4832	84	24	as	as	SCONJ
ejpam-4832	84	25	follows	follow	VERB
ejpam-4832	84	26	:	:	PUNCT
ejpam-4832	84	27	an	an	DET
ejpam-4832	84	28	intuitionistic	intuitionistic	ADJ
ejpam-4832	84	29	fuzzy	fuzzy	ADJ
ejpam-4832	84	30	set	set	NOUN
ejpam-4832	84	31	on	on	ADP
ejpam-4832	84	32	a	a	DET
ejpam-4832	84	33	set	set	NOUN
ejpam-4832	84	34	x	x	PUNCT
ejpam-4832	84	35	is	be	AUX
ejpam-4832	84	36	an	an	DET
ejpam-4832	84	37	expression	expression	NOUN
ejpam-4832	84	38	i	i	PRON
ejpam-4832	84	39	given	give	VERB
ejpam-4832	84	40	by	by	ADP
ejpam-4832	84	41	i	i	PRON
ejpam-4832	84	42	:	:	PUNCT
ejpam-4832	84	43	=	=	X
ejpam-4832	84	44	{	{	PUNCT
ejpam-4832	84	45	⟨x	⟨x	VERB
ejpam-4832	84	46	,	,	PUNCT
ejpam-4832	84	47	fi	fi	NOUN
ejpam-4832	84	48	,	,	PUNCT
ejpam-4832	84	49	gi⟩	gi⟩	PROPN
ejpam-4832	84	50	|	|	ADV
ejpam-4832	84	51	x	x	SYM
ejpam-4832	84	52	∈	∈	PROPN
ejpam-4832	84	53	x	x	X
ejpam-4832	84	54	}	}	PUNCT
ejpam-4832	84	55	e.	e.	PROPN
ejpam-4832	84	56	h.	h.	PROPN
ejpam-4832	84	57	roh	roh	PROPN
ejpam-4832	84	58	,	,	PUNCT
ejpam-4832	84	59	e.	e.	PROPN
ejpam-4832	84	60	yang	yang	PROPN
ejpam-4832	84	61	,	,	PUNCT
ejpam-4832	84	62	y.	y.	PROPN
ejpam-4832	84	63	b.	b.	PROPN
ejpam-4832	84	64	jun	jun	PROPN
ejpam-4832	84	65	/	/	SYM
ejpam-4832	84	66	eur	eur	PROPN
ejpam-4832	84	67	.	.	PUNCT
ejpam-4832	85	1	j.	j.	PROPN
ejpam-4832	85	2	pure	pure	PROPN
ejpam-4832	85	3	appl	appl	PROPN
ejpam-4832	85	4	.	.	PROPN
ejpam-4832	85	5	math	math	PROPN
ejpam-4832	85	6	,	,	PUNCT
ejpam-4832	85	7	16	16	NUM
ejpam-4832	85	8	(	(	PUNCT
ejpam-4832	85	9	3	3	NUM
ejpam-4832	85	10	)	)	PUNCT
ejpam-4832	85	11	(	(	PUNCT
ejpam-4832	85	12	2023	2023	NUM
ejpam-4832	85	13	)	)	PUNCT
ejpam-4832	85	14	,	,	PUNCT
ejpam-4832	85	15	1342	1342	NUM
ejpam-4832	85	16	-	-	SYM
ejpam-4832	85	17	1358	1358	NUM
ejpam-4832	85	18	1345	1345	NUM
ejpam-4832	85	19	where	where	SCONJ
ejpam-4832	85	20	fi	fi	NOUN
ejpam-4832	85	21	and	and	CCONJ
ejpam-4832	85	22	gi	gi	NOUN
ejpam-4832	85	23	are	be	AUX
ejpam-4832	85	24	fuzzy	fuzzy	ADJ
ejpam-4832	85	25	sets	set	NOUN
ejpam-4832	85	26	in	in	ADP
ejpam-4832	85	27	x	x	PUNCT
ejpam-4832	85	28	such	such	ADJ
ejpam-4832	85	29	that	that	SCONJ
ejpam-4832	85	30	0	0	NUM
ejpam-4832	85	31	≤	≤	NUM
ejpam-4832	85	32	fi(x	fi(x	NUM
ejpam-4832	85	33	)	)	PUNCT
ejpam-4832	85	34	+	+	CCONJ
ejpam-4832	85	35	gi(x	gi(x	X
ejpam-4832	85	36	)	)	PUNCT
ejpam-4832	85	37	≤	≤	NUM
ejpam-4832	85	38	1	1	NUM
ejpam-4832	85	39	for	for	ADP
ejpam-4832	85	40	all	all	PRON
ejpam-4832	85	41	x	x	SYM
ejpam-4832	85	42	∈	∈	ADJ
ejpam-4832	85	43	x.	x.	NOUN
ejpam-4832	86	1	every	every	DET
ejpam-4832	86	2	fuzzy	fuzzy	ADJ
ejpam-4832	86	3	set	set	VERB
ejpam-4832	86	4	f	f	PROPN
ejpam-4832	86	5	in	in	ADP
ejpam-4832	86	6	a	a	DET
ejpam-4832	86	7	set	set	NOUN
ejpam-4832	86	8	x	x	PUNCT
ejpam-4832	86	9	is	be	AUX
ejpam-4832	86	10	obviously	obviously	ADV
ejpam-4832	86	11	an	an	DET
ejpam-4832	86	12	intuitionistic	intuitionistic	ADJ
ejpam-4832	86	13	fuzzy	fuzzy	ADJ
ejpam-4832	86	14	set	set	NOUN
ejpam-4832	86	15	having	have	VERB
ejpam-4832	86	16	the	the	DET
ejpam-4832	86	17	form	form	NOUN
ejpam-4832	86	18	{	{	PUNCT
ejpam-4832	86	19	⟨x	⟨x	VERB
ejpam-4832	86	20	,	,	PUNCT
ejpam-4832	86	21	f,¬f⟩	f,¬f⟩	VERB
ejpam-4832	87	1	|	|	ADV
ejpam-4832	87	2	x	x	SYM
ejpam-4832	87	3	∈	∈	PROPN
ejpam-4832	87	4	x	x	PRON
ejpam-4832	87	5	}	}	PUNCT
ejpam-4832	87	6	(	(	PUNCT
ejpam-4832	87	7	see	see	VERB
ejpam-4832	87	8	[	[	X
ejpam-4832	87	9	2	2	NUM
ejpam-4832	87	10	]	]	NUM
ejpam-4832	87	11	)	)	PUNCT
ejpam-4832	87	12	.	.	PUNCT
ejpam-4832	88	1	the	the	DET
ejpam-4832	88	2	notion	notion	NOUN
ejpam-4832	88	3	of	of	ADP
ejpam-4832	88	4	intuitionistic	intuitionistic	ADJ
ejpam-4832	88	5	fuzzy	fuzzy	ADJ
ejpam-4832	88	6	point	point	NOUN
ejpam-4832	88	7	is	be	AUX
ejpam-4832	88	8	considered	consider	VERB
ejpam-4832	88	9	in	in	ADP
ejpam-4832	88	10	the	the	DET
ejpam-4832	88	11	paper	paper	NOUN
ejpam-4832	89	1	[	[	X
ejpam-4832	89	2	5	5	NUM
ejpam-4832	89	3	]	]	PUNCT
ejpam-4832	89	4	as	as	SCONJ
ejpam-4832	89	5	follows	follow	VERB
ejpam-4832	89	6	:	:	PUNCT
ejpam-4832	89	7	given	give	VERB
ejpam-4832	89	8	elements	element	NOUN
ejpam-4832	89	9	b	b	X
ejpam-4832	89	10	∈	∈	PROPN
ejpam-4832	89	11	x	x	X
ejpam-4832	89	12	and	and	CCONJ
ejpam-4832	89	13	(	(	PUNCT
ejpam-4832	89	14	t	t	PROPN
ejpam-4832	89	15	,	,	PUNCT
ejpam-4832	89	16	s	s	X
ejpam-4832	89	17	)	)	PUNCT
ejpam-4832	89	18	∈	∈	PROPN
ejpam-4832	89	19	(	(	PUNCT
ejpam-4832	89	20	0	0	NUM
ejpam-4832	89	21	,	,	PUNCT
ejpam-4832	89	22	1]×	1]×	NUM
ejpam-4832	89	23	[	[	X
ejpam-4832	89	24	0	0	NUM
ejpam-4832	89	25	,	,	PUNCT
ejpam-4832	89	26	1	1	X
ejpam-4832	89	27	)	)	PUNCT
ejpam-4832	89	28	satisfying	satisfy	VERB
ejpam-4832	89	29	t+	t+	X
ejpam-4832	89	30	s	s	VERB
ejpam-4832	89	31	≤	≤	NUM
ejpam-4832	89	32	1	1	NUM
ejpam-4832	89	33	,	,	PUNCT
ejpam-4832	89	34	the	the	DET
ejpam-4832	89	35	intuitionistic	intuitionistic	ADJ
ejpam-4832	89	36	fuzzy	fuzzy	ADJ
ejpam-4832	89	37	set	set	NOUN
ejpam-4832	89	38	b(t	b(t	PROPN
ejpam-4832	89	39	,	,	PUNCT
ejpam-4832	89	40	s	s	PART
ejpam-4832	89	41	)	)	PUNCT
ejpam-4832	89	42	:	:	PUNCT
ejpam-4832	89	43	=	=	X
ejpam-4832	89	44	{	{	PUNCT
ejpam-4832	89	45	⟨x	⟨x	NUM
ejpam-4832	89	46	,	,	PUNCT
ejpam-4832	89	47	bt,¬b1−s⟩	bt,¬b1−s⟩	NOUN
ejpam-4832	89	48	|	|	ADV
ejpam-4832	89	49	x	x	SYM
ejpam-4832	89	50	∈	∈	PROPN
ejpam-4832	89	51	x	x	PRON
ejpam-4832	89	52	}	}	PUNCT
ejpam-4832	89	53	(	(	PUNCT
ejpam-4832	89	54	21	21	NUM
ejpam-4832	89	55	)	)	PUNCT
ejpam-4832	89	56	is	be	AUX
ejpam-4832	89	57	called	call	VERB
ejpam-4832	89	58	an	an	DET
ejpam-4832	89	59	intuitionistic	intuitionistic	ADJ
ejpam-4832	89	60	fuzzy	fuzzy	ADJ
ejpam-4832	89	61	point	point	NOUN
ejpam-4832	89	62	in	in	ADP
ejpam-4832	89	63	x.	x.	NOUN
ejpam-4832	89	64	let	let	VERB
ejpam-4832	89	65	i	i	PRON
ejpam-4832	89	66	:	:	PUNCT
ejpam-4832	89	67	=	=	X
ejpam-4832	89	68	{	{	PUNCT
ejpam-4832	89	69	⟨x	⟨x	VERB
ejpam-4832	89	70	,	,	PUNCT
ejpam-4832	89	71	fi	fi	NOUN
ejpam-4832	89	72	,	,	PUNCT
ejpam-4832	89	73	gi⟩	gi⟩	PROPN
ejpam-4832	89	74	|	|	ADV
ejpam-4832	89	75	x	x	SYM
ejpam-4832	89	76	∈	∈	PROPN
ejpam-4832	89	77	x	x	VERB
ejpam-4832	89	78	}	}	PUNCT
ejpam-4832	89	79	be	be	AUX
ejpam-4832	89	80	an	an	DET
ejpam-4832	89	81	intuitionistic	intuitionistic	ADJ
ejpam-4832	89	82	fuzzy	fuzzy	ADJ
ejpam-4832	89	83	set	set	NOUN
ejpam-4832	89	84	in	in	ADP
ejpam-4832	89	85	x.	x.	NOUN
ejpam-4832	89	86	an	an	DET
ejpam-4832	89	87	intuitionistic	intuitionistic	ADJ
ejpam-4832	89	88	fuzzy	fuzzy	ADJ
ejpam-4832	89	89	point	point	NOUN
ejpam-4832	89	90	b(t	b(t	PROPN
ejpam-4832	89	91	,	,	PUNCT
ejpam-4832	89	92	s	s	PART
ejpam-4832	89	93	)	)	PUNCT
ejpam-4832	90	1	:	:	PUNCT
ejpam-4832	90	2	=	=	X
ejpam-4832	90	3	{	{	PUNCT
ejpam-4832	90	4	⟨x	⟨x	NUM
ejpam-4832	90	5	,	,	PUNCT
ejpam-4832	90	6	bt,¬b1−s⟩	bt,¬b1−s⟩	NOUN
ejpam-4832	90	7	|	|	ADV
ejpam-4832	90	8	x	x	SYM
ejpam-4832	90	9	∈	∈	NOUN
ejpam-4832	90	10	x	x	X
ejpam-4832	90	11	}	}	PUNCT
ejpam-4832	90	12	is	be	AUX
ejpam-4832	90	13	said	say	VERB
ejpam-4832	90	14	to	to	PART
ejpam-4832	90	15	be	be	AUX
ejpam-4832	90	16	•	•	ADV
ejpam-4832	90	17	contained	contain	VERB
ejpam-4832	90	18	in	in	ADP
ejpam-4832	90	19	i	i	PRON
ejpam-4832	90	20	:	:	PUNCT
ejpam-4832	90	21	=	=	X
ejpam-4832	90	22	{	{	PUNCT
ejpam-4832	90	23	⟨x	⟨x	VERB
ejpam-4832	90	24	,	,	PUNCT
ejpam-4832	90	25	fi	fi	NOUN
ejpam-4832	90	26	,	,	PUNCT
ejpam-4832	90	27	gi⟩	gi⟩	PROPN
ejpam-4832	90	28	|	|	ADV
ejpam-4832	90	29	x	x	X
ejpam-4832	90	30	∈	∈	NOUN
ejpam-4832	90	31	x	x	NOUN
ejpam-4832	90	32	}	}	PUNCT
ejpam-4832	90	33	,	,	PUNCT
ejpam-4832	90	34	denoted	denote	VERB
ejpam-4832	90	35	by	by	ADP
ejpam-4832	90	36	b(t	b(t	PROPN
ejpam-4832	90	37	,	,	PUNCT
ejpam-4832	90	38	s	s	PART
ejpam-4832	90	39	)	)	PUNCT
ejpam-4832	90	40	∈	∈	PROPN
ejpam-4832	91	1	i	i	PRON
ejpam-4832	91	2	,	,	PUNCT
ejpam-4832	91	3	if	if	SCONJ
ejpam-4832	91	4	bt	bt	ADJ
ejpam-4832	91	5	≤	≤	NUM
ejpam-4832	91	6	fi	fi	NOUN
ejpam-4832	91	7	and	and	CCONJ
ejpam-4832	91	8	¬b1−s	¬b1−	VERB
ejpam-4832	91	9	≥	≥	NOUN
ejpam-4832	91	10	gi	gi	NOUN
ejpam-4832	91	11	,	,	PUNCT
ejpam-4832	91	12	or	or	CCONJ
ejpam-4832	91	13	equivalently	equivalently	ADV
ejpam-4832	91	14	,	,	PUNCT
ejpam-4832	91	15	fi(b	fi(b	NUM
ejpam-4832	91	16	)	)	PUNCT
ejpam-4832	91	17	≥	≥	PROPN
ejpam-4832	91	18	t	t	PROPN
ejpam-4832	91	19	and	and	CCONJ
ejpam-4832	91	20	gi(b	gi(b	PROPN
ejpam-4832	91	21	)	)	PUNCT
ejpam-4832	91	22	≤	≤	PUNCT
ejpam-4832	91	23	s.	s.	PROPN
ejpam-4832	91	24	•	•	NUM
ejpam-4832	91	25	quasi	quasi	NOUN
ejpam-4832	91	26	-	-	NOUN
ejpam-4832	91	27	coincident	coincident	ADJ
ejpam-4832	91	28	with	with	ADP
ejpam-4832	91	29	i	i	PRON
ejpam-4832	91	30	:	:	PUNCT
ejpam-4832	91	31	=	=	X
ejpam-4832	91	32	{	{	PUNCT
ejpam-4832	91	33	⟨x	⟨x	VERB
ejpam-4832	91	34	,	,	PUNCT
ejpam-4832	91	35	fi	fi	NOUN
ejpam-4832	91	36	,	,	PUNCT
ejpam-4832	91	37	gi⟩	gi⟩	PROPN
ejpam-4832	91	38	|	|	ADV
ejpam-4832	91	39	x	x	X
ejpam-4832	91	40	∈	∈	NOUN
ejpam-4832	91	41	x	x	NOUN
ejpam-4832	91	42	}	}	PUNCT
ejpam-4832	91	43	,	,	PUNCT
ejpam-4832	91	44	denoted	denote	VERB
ejpam-4832	91	45	by	by	ADP
ejpam-4832	91	46	b(t	b(t	PROPN
ejpam-4832	91	47	,	,	PUNCT
ejpam-4832	91	48	s	s	PART
ejpam-4832	91	49	)	)	PUNCT
ejpam-4832	91	50	q	q	PROPN
ejpam-4832	92	1	i	i	PRON
ejpam-4832	92	2	,	,	PUNCT
ejpam-4832	92	3	if	if	SCONJ
ejpam-4832	92	4	fi(b)+	fi(b)+	X
ejpam-4832	92	5	t	t	PROPN
ejpam-4832	92	6	>	>	X
ejpam-4832	92	7	1	1	NUM
ejpam-4832	92	8	and	and	CCONJ
ejpam-4832	92	9	gi(b	gi(b	PROPN
ejpam-4832	92	10	)	)	PUNCT
ejpam-4832	93	1	+	+	X
ejpam-4832	93	2	s	s	X
ejpam-4832	93	3	<	<	X
ejpam-4832	93	4	1	1	NUM
ejpam-4832	93	5	.	.	PUNCT
ejpam-4832	93	6	if	if	SCONJ
ejpam-4832	93	7	b(t	b(t	PROPN
ejpam-4832	93	8	,	,	PUNCT
ejpam-4832	93	9	s	s	PART
ejpam-4832	93	10	)	)	PUNCT
ejpam-4832	93	11	β	β	NOUN
ejpam-4832	93	12	i	i	PRON
ejpam-4832	93	13	is	be	AUX
ejpam-4832	93	14	not	not	PART
ejpam-4832	93	15	established	establish	VERB
ejpam-4832	93	16	for	for	ADP
ejpam-4832	93	17	β	β	X
ejpam-4832	93	18	∈	∈	PROPN
ejpam-4832	93	19	{	{	PUNCT
ejpam-4832	93	20	∈	∈	PROPN
ejpam-4832	93	21	,	,	PUNCT
ejpam-4832	93	22	q	q	NOUN
ejpam-4832	93	23	}	}	PUNCT
ejpam-4832	93	24	,	,	PUNCT
ejpam-4832	93	25	it	it	PRON
ejpam-4832	93	26	is	be	AUX
ejpam-4832	93	27	denoted	denote	VERB
ejpam-4832	93	28	by	by	ADP
ejpam-4832	93	29	b(t	b(t	PROPN
ejpam-4832	93	30	,	,	PUNCT
ejpam-4832	93	31	s	s	PART
ejpam-4832	93	32	)	)	PUNCT
ejpam-4832	93	33	β	β	PROPN
ejpam-4832	93	34	i.	i.	NOUN
ejpam-4832	93	35	the	the	DET
ejpam-4832	93	36	set	set	NOUN
ejpam-4832	93	37	i∈	i∈	ADP
ejpam-4832	93	38	(	(	PUNCT
ejpam-4832	93	39	t	t	PROPN
ejpam-4832	93	40	,	,	PUNCT
ejpam-4832	93	41	s	s	NOUN
ejpam-4832	93	42	)	)	PUNCT
ejpam-4832	93	43	:	:	PUNCT
ejpam-4832	93	44	=	=	SYM
ejpam-4832	93	45	{	{	PUNCT
ejpam-4832	93	46	b	b	X
ejpam-4832	93	47	∈	∈	PROPN
ejpam-4832	93	48	x	x	PUNCT
ejpam-4832	93	49	|	|	ADV
ejpam-4832	93	50	b(t	b(t	NOUN
ejpam-4832	93	51	,	,	PUNCT
ejpam-4832	93	52	s	s	PART
ejpam-4832	93	53	)	)	PUNCT
ejpam-4832	93	54	∈	∈	PROPN
ejpam-4832	93	55	i	i	PRON
ejpam-4832	93	56	}	}	PUNCT
ejpam-4832	93	57	is	be	AUX
ejpam-4832	93	58	called	call	VERB
ejpam-4832	93	59	the	the	DET
ejpam-4832	93	60	∈(t	∈(t	NOUN
ejpam-4832	93	61	,	,	PUNCT
ejpam-4832	93	62	s)-level	s)-level	VERB
ejpam-4832	93	63	set	set	VERB
ejpam-4832	93	64	of	of	ADP
ejpam-4832	93	65	i.	i.	NOUN
ejpam-4832	93	66	it	it	PRON
ejpam-4832	93	67	is	be	AUX
ejpam-4832	93	68	clear	clear	ADJ
ejpam-4832	93	69	that	that	SCONJ
ejpam-4832	93	70	i∈	i∈	ADP
ejpam-4832	93	71	(	(	PUNCT
ejpam-4832	93	72	t	t	PROPN
ejpam-4832	93	73	,	,	PUNCT
ejpam-4832	93	74	s	s	PART
ejpam-4832	93	75	)	)	PUNCT
ejpam-4832	93	76	=	=	SYM
ejpam-4832	93	77	u(fi	u(fi	PROPN
ejpam-4832	93	78	,	,	PUNCT
ejpam-4832	93	79	t	t	PROPN
ejpam-4832	93	80	)	)	PUNCT
ejpam-4832	93	81	∩	∩	PROPN
ejpam-4832	93	82	l(gi	l(gi	PROPN
ejpam-4832	93	83	,	,	PUNCT
ejpam-4832	93	84	s	s	PROPN
ejpam-4832	93	85	)	)	PUNCT
ejpam-4832	93	86	where	where	SCONJ
ejpam-4832	93	87	u(fi	u(fi	PROPN
ejpam-4832	93	88	,	,	PUNCT
ejpam-4832	93	89	t	t	PROPN
ejpam-4832	93	90	)	)	PUNCT
ejpam-4832	93	91	:	:	PUNCT
ejpam-4832	93	92	=	=	X
ejpam-4832	93	93	{	{	PUNCT
ejpam-4832	93	94	a	a	DET
ejpam-4832	93	95	∈	∈	NOUN
ejpam-4832	93	96	x	x	X
ejpam-4832	93	97	|	|	NOUN
ejpam-4832	93	98	fi(a	fi(a	NUM
ejpam-4832	93	99	)	)	PUNCT
ejpam-4832	93	100	≥	≥	NOUN
ejpam-4832	93	101	t	t	PROPN
ejpam-4832	93	102	}	}	PUNCT
ejpam-4832	93	103	and	and	CCONJ
ejpam-4832	93	104	l(gi	l(gi	PROPN
ejpam-4832	93	105	,	,	PUNCT
ejpam-4832	93	106	s	s	PROPN
ejpam-4832	93	107	)	)	PUNCT
ejpam-4832	93	108	:	:	PUNCT
ejpam-4832	93	109	=	=	X
ejpam-4832	93	110	{	{	PUNCT
ejpam-4832	93	111	a	a	DET
ejpam-4832	93	112	∈	∈	NOUN
ejpam-4832	93	113	x	x	PUNCT
ejpam-4832	93	114	|	|	NOUN
ejpam-4832	93	115	gi(a	gi(a	PRON
ejpam-4832	93	116	)	)	PUNCT
ejpam-4832	93	117	≤	≤	NUM
ejpam-4832	93	118	s	s	X
ejpam-4832	93	119	}	}	PUNCT
ejpam-4832	93	120	,	,	PUNCT
ejpam-4832	93	121	which	which	PRON
ejpam-4832	93	122	are	be	AUX
ejpam-4832	93	123	called	call	VERB
ejpam-4832	93	124	the	the	DET
ejpam-4832	93	125	upper	upper	ADJ
ejpam-4832	93	126	t	t	NOUN
ejpam-4832	93	127	-	-	PUNCT
ejpam-4832	93	128	level	level	NOUN
ejpam-4832	93	129	set	set	NOUN
ejpam-4832	93	130	and	and	CCONJ
ejpam-4832	93	131	the	the	DET
ejpam-4832	93	132	lower	low	ADJ
ejpam-4832	93	133	s	s	NOUN
ejpam-4832	93	134	-	-	PUNCT
ejpam-4832	93	135	level	level	NOUN
ejpam-4832	93	136	set	set	NOUN
ejpam-4832	93	137	of	of	ADP
ejpam-4832	93	138	i	i	PRON
ejpam-4832	93	139	:	:	PUNCT
ejpam-4832	93	140	=	=	X
ejpam-4832	93	141	{	{	PUNCT
ejpam-4832	93	142	⟨x	⟨x	VERB
ejpam-4832	93	143	,	,	PUNCT
ejpam-4832	93	144	fi	fi	NOUN
ejpam-4832	93	145	,	,	PUNCT
ejpam-4832	93	146	gi⟩	gi⟩	PROPN
ejpam-4832	93	147	|	|	ADV
ejpam-4832	93	148	x	x	X
ejpam-4832	93	149	∈	∈	NOUN
ejpam-4832	93	150	x	x	X
ejpam-4832	93	151	}	}	PUNCT
ejpam-4832	93	152	.	.	PUNCT
ejpam-4832	94	1	3	3	X
ejpam-4832	94	2	.	.	X
ejpam-4832	94	3	intuitionistic	intuitionistic	ADJ
ejpam-4832	94	4	fuzzy	fuzzy	ADJ
ejpam-4832	94	5	(	(	PUNCT
ejpam-4832	94	6	ordered	order	VERB
ejpam-4832	94	7	)	)	PUNCT
ejpam-4832	94	8	subalgebras	subalgebras	PROPN
ejpam-4832	94	9	in	in	ADP
ejpam-4832	94	10	what	what	PRON
ejpam-4832	94	11	follows	follow	VERB
ejpam-4832	94	12	,	,	PUNCT
ejpam-4832	94	13	let	let	VERB
ejpam-4832	94	14	x	x	PRON
ejpam-4832	94	15	:	:	PUNCT
ejpam-4832	94	16	=	=	SYM
ejpam-4832	94	17	(	(	PUNCT
ejpam-4832	94	18	x	x	X
ejpam-4832	94	19	,	,	PUNCT
ejpam-4832	94	20	→	→	SYM
ejpam-4832	94	21	,	,	PUNCT
ejpam-4832	94	22	e	e	NOUN
ejpam-4832	94	23	,	,	PUNCT
ejpam-4832	94	24	≤x	≤x	PROPN
ejpam-4832	94	25	)	)	PUNCT
ejpam-4832	94	26	denote	denote	VERB
ejpam-4832	94	27	an	an	DET
ejpam-4832	94	28	obci	obci	ADJ
ejpam-4832	94	29	-	-	PUNCT
ejpam-4832	94	30	algebra	algebra	NOUN
ejpam-4832	94	31	unless	unless	SCONJ
ejpam-4832	94	32	otherwise	otherwise	ADV
ejpam-4832	94	33	specified	specify	VERB
ejpam-4832	94	34	.	.	PUNCT
ejpam-4832	95	1	definition	definition	NOUN
ejpam-4832	95	2	4	4	NUM
ejpam-4832	95	3	.	.	PUNCT
ejpam-4832	96	1	an	an	DET
ejpam-4832	96	2	intuitionistic	intuitionistic	ADJ
ejpam-4832	96	3	fuzzy	fuzzy	ADJ
ejpam-4832	96	4	set	set	NOUN
ejpam-4832	96	5	i	i	PRON
ejpam-4832	96	6	:	:	PUNCT
ejpam-4832	96	7	=	=	X
ejpam-4832	96	8	{	{	PUNCT
ejpam-4832	96	9	⟨x	⟨x	VERB
ejpam-4832	96	10	,	,	PUNCT
ejpam-4832	96	11	fi	fi	NOUN
ejpam-4832	96	12	,	,	PUNCT
ejpam-4832	96	13	gi⟩	gi⟩	PROPN
ejpam-4832	96	14	|	|	ADV
ejpam-4832	96	15	x	x	SYM
ejpam-4832	96	16	∈	∈	NOUN
ejpam-4832	96	17	x	x	X
ejpam-4832	96	18	}	}	PUNCT
ejpam-4832	96	19	is	be	AUX
ejpam-4832	96	20	called	call	VERB
ejpam-4832	96	21	•	•	ADP
ejpam-4832	96	22	an	an	DET
ejpam-4832	96	23	intuitionistic	intuitionistic	ADJ
ejpam-4832	96	24	fuzzy	fuzzy	ADJ
ejpam-4832	96	25	subalgebra	subalgebra	NOUN
ejpam-4832	96	26	of	of	ADP
ejpam-4832	96	27	x	x	X
ejpam-4832	96	28	:	:	PUNCT
ejpam-4832	96	29	=	=	SYM
ejpam-4832	96	30	(	(	PUNCT
ejpam-4832	96	31	x	x	X
ejpam-4832	96	32	,	,	PUNCT
ejpam-4832	96	33	→	→	SYM
ejpam-4832	96	34	,	,	PUNCT
ejpam-4832	96	35	e	e	NOUN
ejpam-4832	96	36	,	,	PUNCT
ejpam-4832	96	37	≤x	≤x	PROPN
ejpam-4832	96	38	)	)	PUNCT
ejpam-4832	96	39	if	if	SCONJ
ejpam-4832	96	40	it	it	PRON
ejpam-4832	96	41	satisfies	satisfy	VERB
ejpam-4832	96	42	:	:	PUNCT
ejpam-4832	96	43	(	(	PUNCT
ejpam-4832	96	44	∀x	∀x	X
ejpam-4832	96	45	,	,	PUNCT
ejpam-4832	96	46	y	y	PROPN
ejpam-4832	96	47	∈	∈	PROPN
ejpam-4832	96	48	x	x	X
ejpam-4832	96	49	)	)	PUNCT
ejpam-4832	96	50	(	(	PUNCT
ejpam-4832	96	51	fi(x	fi(x	NUM
ejpam-4832	96	52	→	→	SYM
ejpam-4832	96	53	y	y	X
ejpam-4832	96	54	)	)	PUNCT
ejpam-4832	96	55	≥	≥	PROPN
ejpam-4832	96	56	min{fi(x	min{fi(x	PROPN
ejpam-4832	96	57	)	)	PUNCT
ejpam-4832	96	58	,	,	PUNCT
ejpam-4832	96	59	fi(y	fi(y	NOUN
ejpam-4832	96	60	)	)	PUNCT
ejpam-4832	96	61	}	}	PUNCT
ejpam-4832	96	62	gi(x	gi(x	NUM
ejpam-4832	96	63	→	→	SYM
ejpam-4832	96	64	y	y	X
ejpam-4832	96	65	)	)	PUNCT
ejpam-4832	96	66	≤	≤	NOUN
ejpam-4832	96	67	max{gi(x	max{gi(x	NOUN
ejpam-4832	96	68	)	)	PUNCT
ejpam-4832	96	69	,	,	PUNCT
ejpam-4832	96	70	gi(y	gi(y	NOUN
ejpam-4832	96	71	)	)	PUNCT
ejpam-4832	96	72	}	}	PUNCT
ejpam-4832	96	73	)	)	PUNCT
ejpam-4832	96	74	.	.	PUNCT
ejpam-4832	97	1	(	(	PUNCT
ejpam-4832	97	2	22	22	NUM
ejpam-4832	97	3	)	)	PUNCT
ejpam-4832	97	4	•	•	NOUN
ejpam-4832	97	5	an	an	DET
ejpam-4832	97	6	intuitionistic	intuitionistic	ADJ
ejpam-4832	97	7	fuzzy	fuzzy	ADJ
ejpam-4832	97	8	ordered	order	VERB
ejpam-4832	97	9	subalgebra	subalgebra	NOUN
ejpam-4832	97	10	of	of	ADP
ejpam-4832	97	11	x	x	X
ejpam-4832	97	12	:	:	PUNCT
ejpam-4832	97	13	=	=	SYM
ejpam-4832	97	14	(	(	PUNCT
ejpam-4832	97	15	x	x	X
ejpam-4832	97	16	,	,	PUNCT
ejpam-4832	97	17	→	→	SYM
ejpam-4832	97	18	,	,	PUNCT
ejpam-4832	97	19	e	e	NOUN
ejpam-4832	97	20	,	,	PUNCT
ejpam-4832	97	21	≤x	≤x	PROPN
ejpam-4832	97	22	)	)	PUNCT
ejpam-4832	97	23	if	if	SCONJ
ejpam-4832	97	24	it	it	PRON
ejpam-4832	97	25	satisfies	satisfy	VERB
ejpam-4832	97	26	:	:	PUNCT
ejpam-4832	97	27	(	(	PUNCT
ejpam-4832	97	28	∀x	∀x	X
ejpam-4832	97	29	,	,	PUNCT
ejpam-4832	97	30	y	y	PROPN
ejpam-4832	97	31	∈	∈	PROPN
ejpam-4832	97	32	x	x	X
ejpam-4832	97	33	)	)	PUNCT
ejpam-4832	98	1	(	(	PUNCT
ejpam-4832	98	2	e	e	X
ejpam-4832	98	3	≤x	≤x	PROPN
ejpam-4832	98	4	x	x	X
ejpam-4832	98	5	,	,	PUNCT
ejpam-4832	98	6	e	e	PROPN
ejpam-4832	98	7	≤x	≤x	PROPN
ejpam-4832	98	8	y	y	PROPN
ejpam-4832	98	9	,	,	PUNCT
ejpam-4832	98	10	x(t1,s1	x(t1,s1	NOUN
ejpam-4832	98	11	)	)	PUNCT
ejpam-4832	98	12	∈	∈	PROPN
ejpam-4832	99	1	i	i	PRON
ejpam-4832	99	2	,	,	PUNCT
ejpam-4832	99	3	y(t2,s2	y(t2,s2	PROPN
ejpam-4832	99	4	)	)	PUNCT
ejpam-4832	99	5	∈	∈	PROPN
ejpam-4832	99	6	i	i	PRON
ejpam-4832	99	7	⇒	⇒	VERB
ejpam-4832	99	8	(	(	PUNCT
ejpam-4832	99	9	x	x	NOUN
ejpam-4832	99	10	→	→	SYM
ejpam-4832	99	11	y)(min{t1,t2},max{s1,s2	y)(min{t1,t2},max{s1,s2	PRON
ejpam-4832	99	12	}	}	PUNCT
ejpam-4832	99	13	)	)	PUNCT
ejpam-4832	100	1	∈	∈	PROPN
ejpam-4832	100	2	i	i	NOUN
ejpam-4832	100	3	)	)	PUNCT
ejpam-4832	100	4	(	(	PUNCT
ejpam-4832	100	5	23	23	NUM
ejpam-4832	100	6	)	)	PUNCT
ejpam-4832	100	7	for	for	ADP
ejpam-4832	100	8	all	all	DET
ejpam-4832	100	9	(	(	PUNCT
ejpam-4832	100	10	t1	t1	NOUN
ejpam-4832	100	11	,	,	PUNCT
ejpam-4832	100	12	s1	s1	PROPN
ejpam-4832	100	13	)	)	PUNCT
ejpam-4832	100	14	,	,	PUNCT
ejpam-4832	100	15	(	(	PUNCT
ejpam-4832	100	16	t2	t2	NOUN
ejpam-4832	100	17	,	,	PUNCT
ejpam-4832	100	18	s2	s2	PROPN
ejpam-4832	100	19	)	)	PUNCT
ejpam-4832	100	20	∈	∈	PROPN
ejpam-4832	100	21	(	(	PUNCT
ejpam-4832	100	22	0	0	NUM
ejpam-4832	100	23	,	,	PUNCT
ejpam-4832	100	24	1]×	1]×	NUM
ejpam-4832	101	1	[	[	X
ejpam-4832	101	2	0	0	NUM
ejpam-4832	101	3	,	,	PUNCT
ejpam-4832	101	4	1	1	NUM
ejpam-4832	101	5	)	)	PUNCT
ejpam-4832	101	6	.	.	PUNCT
ejpam-4832	102	1	e.	e.	PROPN
ejpam-4832	102	2	h.	h.	PROPN
ejpam-4832	102	3	roh	roh	PROPN
ejpam-4832	102	4	,	,	PUNCT
ejpam-4832	102	5	e.	e.	PROPN
ejpam-4832	102	6	yang	yang	PROPN
ejpam-4832	102	7	,	,	PUNCT
ejpam-4832	102	8	y.	y.	PROPN
ejpam-4832	102	9	b.	b.	PROPN
ejpam-4832	102	10	jun	jun	PROPN
ejpam-4832	102	11	/	/	SYM
ejpam-4832	102	12	eur	eur	PROPN
ejpam-4832	102	13	.	.	PUNCT
ejpam-4832	103	1	j.	j.	PROPN
ejpam-4832	103	2	pure	pure	PROPN
ejpam-4832	103	3	appl	appl	PROPN
ejpam-4832	103	4	.	.	PROPN
ejpam-4832	103	5	math	math	PROPN
ejpam-4832	103	6	,	,	PUNCT
ejpam-4832	103	7	16	16	NUM
ejpam-4832	103	8	(	(	PUNCT
ejpam-4832	103	9	3	3	NUM
ejpam-4832	103	10	)	)	PUNCT
ejpam-4832	103	11	(	(	PUNCT
ejpam-4832	103	12	2023	2023	NUM
ejpam-4832	103	13	)	)	PUNCT
ejpam-4832	103	14	,	,	PUNCT
ejpam-4832	103	15	1342	1342	NUM
ejpam-4832	103	16	-	-	SYM
ejpam-4832	103	17	1358	1358	NUM
ejpam-4832	103	18	1346	1346	NUM
ejpam-4832	103	19	table	table	NOUN
ejpam-4832	103	20	1	1	NUM
ejpam-4832	103	21	:	:	PUNCT
ejpam-4832	103	22	cayley	cayley	ADJ
ejpam-4832	103	23	table	table	NOUN
ejpam-4832	103	24	for	for	ADP
ejpam-4832	103	25	the	the	DET
ejpam-4832	103	26	binary	binary	ADJ
ejpam-4832	103	27	operation	operation	NOUN
ejpam-4832	103	28	“	"	PUNCT
ejpam-4832	103	29	→	→	SYM
ejpam-4832	103	30	”	"	PUNCT
ejpam-4832	103	31	→	→	SYM
ejpam-4832	103	32	1	1	NUM
ejpam-4832	103	33	e	e	NOUN
ejpam-4832	103	34	∂	∂	NUM
ejpam-4832	103	35	0	0	NUM
ejpam-4832	103	36	1	1	NUM
ejpam-4832	103	37	1	1	NUM
ejpam-4832	103	38	0	0	NUM
ejpam-4832	103	39	0	0	NUM
ejpam-4832	103	40	0	0	NUM
ejpam-4832	104	1	e	e	NOUN
ejpam-4832	104	2	1	1	NUM
ejpam-4832	104	3	e	e	NOUN
ejpam-4832	104	4	∂	∂	NUM
ejpam-4832	104	5	0	0	NUM
ejpam-4832	104	6	∂	∂	NUM
ejpam-4832	104	7	1	1	NUM
ejpam-4832	104	8	∂	∂	NUM
ejpam-4832	104	9	e	e	NOUN
ejpam-4832	104	10	0	0	NUM
ejpam-4832	104	11	0	0	NUM
ejpam-4832	104	12	1	1	NUM
ejpam-4832	104	13	1	1	NUM
ejpam-4832	104	14	1	1	NUM
ejpam-4832	104	15	1	1	NUM
ejpam-4832	104	16	example	example	NOUN
ejpam-4832	104	17	1	1	NUM
ejpam-4832	104	18	.	.	PUNCT
ejpam-4832	105	1	let	let	VERB
ejpam-4832	105	2	x	x	PUNCT
ejpam-4832	105	3	=	=	PUNCT
ejpam-4832	105	4	{	{	PUNCT
ejpam-4832	105	5	1	1	NUM
ejpam-4832	105	6	,	,	PUNCT
ejpam-4832	105	7	e	e	NOUN
ejpam-4832	105	8	,	,	PUNCT
ejpam-4832	105	9	∂	∂	NUM
ejpam-4832	105	10	,	,	PUNCT
ejpam-4832	105	11	0	0	NUM
ejpam-4832	105	12	}	}	PUNCT
ejpam-4832	105	13	be	be	AUX
ejpam-4832	105	14	a	a	DET
ejpam-4832	105	15	set	set	NOUN
ejpam-4832	105	16	,	,	PUNCT
ejpam-4832	105	17	where	where	SCONJ
ejpam-4832	105	18	1	1	NUM
ejpam-4832	105	19	and	and	CCONJ
ejpam-4832	105	20	0	0	NUM
ejpam-4832	105	21	are	be	AUX
ejpam-4832	105	22	the	the	DET
ejpam-4832	105	23	greatest	great	ADJ
ejpam-4832	105	24	element	element	NOUN
ejpam-4832	105	25	and	and	CCONJ
ejpam-4832	105	26	the	the	DET
ejpam-4832	105	27	least	least	ADJ
ejpam-4832	105	28	element	element	NOUN
ejpam-4832	105	29	of	of	ADP
ejpam-4832	105	30	x	x	PRON
ejpam-4832	105	31	,	,	PUNCT
ejpam-4832	105	32	respectively	respectively	ADV
ejpam-4832	105	33	.	.	PUNCT
ejpam-4832	106	1	define	define	VERB
ejpam-4832	106	2	a	a	DET
ejpam-4832	106	3	binary	binary	ADJ
ejpam-4832	106	4	operation	operation	NOUN
ejpam-4832	106	5	“	"	PUNCT
ejpam-4832	106	6	→	→	SYM
ejpam-4832	106	7	”	"	PUNCT
ejpam-4832	106	8	on	on	ADP
ejpam-4832	106	9	x	x	PUNCT
ejpam-4832	106	10	by	by	ADP
ejpam-4832	106	11	table	table	NOUN
ejpam-4832	106	12	1	1	NUM
ejpam-4832	106	13	let	let	VERB
ejpam-4832	106	14	≤e:=	≤e:=	PROPN
ejpam-4832	106	15	{	{	PUNCT
ejpam-4832	106	16	(	(	PUNCT
ejpam-4832	106	17	0	0	NUM
ejpam-4832	106	18	,	,	PUNCT
ejpam-4832	106	19	0	0	NUM
ejpam-4832	106	20	)	)	PUNCT
ejpam-4832	106	21	,	,	PUNCT
ejpam-4832	106	22	(	(	PUNCT
ejpam-4832	106	23	e	e	NOUN
ejpam-4832	106	24	,	,	PUNCT
ejpam-4832	106	25	e	e	NOUN
ejpam-4832	106	26	)	)	PUNCT
ejpam-4832	106	27	,	,	PUNCT
ejpam-4832	106	28	(	(	PUNCT
ejpam-4832	106	29	∂	∂	NUM
ejpam-4832	106	30	,	,	PUNCT
ejpam-4832	106	31	∂	∂	NUM
ejpam-4832	106	32	)	)	PUNCT
ejpam-4832	106	33	,	,	PUNCT
ejpam-4832	106	34	(	(	PUNCT
ejpam-4832	106	35	1	1	NUM
ejpam-4832	106	36	,	,	PUNCT
ejpam-4832	106	37	1	1	NUM
ejpam-4832	106	38	)	)	PUNCT
ejpam-4832	106	39	,	,	PUNCT
ejpam-4832	106	40	(	(	PUNCT
ejpam-4832	106	41	0	0	NUM
ejpam-4832	106	42	,	,	PUNCT
ejpam-4832	106	43	e	e	NOUN
ejpam-4832	106	44	)	)	PUNCT
ejpam-4832	106	45	,	,	PUNCT
ejpam-4832	106	46	(	(	PUNCT
ejpam-4832	106	47	0	0	NUM
ejpam-4832	106	48	,	,	PUNCT
ejpam-4832	106	49	∂	∂	NUM
ejpam-4832	106	50	)	)	PUNCT
ejpam-4832	106	51	,	,	PUNCT
ejpam-4832	106	52	(	(	PUNCT
ejpam-4832	106	53	e	e	NOUN
ejpam-4832	106	54	,	,	PUNCT
ejpam-4832	106	55	1	1	NUM
ejpam-4832	106	56	)	)	PUNCT
ejpam-4832	106	57	,	,	PUNCT
ejpam-4832	106	58	(	(	PUNCT
ejpam-4832	106	59	∂	∂	NUM
ejpam-4832	106	60	,	,	PUNCT
ejpam-4832	106	61	1	1	NUM
ejpam-4832	106	62	)	)	PUNCT
ejpam-4832	106	63	}	}	PUNCT
ejpam-4832	106	64	.	.	PUNCT
ejpam-4832	107	1	then	then	ADV
ejpam-4832	107	2	x	x	X
ejpam-4832	107	3	:	:	PUNCT
ejpam-4832	107	4	=	=	SYM
ejpam-4832	107	5	(	(	PUNCT
ejpam-4832	107	6	x	x	X
ejpam-4832	107	7	,	,	PUNCT
ejpam-4832	107	8	→	→	SYM
ejpam-4832	107	9	,	,	PUNCT
ejpam-4832	107	10	e	e	NOUN
ejpam-4832	107	11	,	,	PUNCT
ejpam-4832	107	12	≤x	≤x	PROPN
ejpam-4832	107	13	)	)	PUNCT
ejpam-4832	107	14	is	be	AUX
ejpam-4832	107	15	an	an	DET
ejpam-4832	107	16	obci	obci	ADJ
ejpam-4832	107	17	-	-	PUNCT
ejpam-4832	107	18	algebra	algebra	NOUN
ejpam-4832	107	19	(	(	PUNCT
ejpam-4832	107	20	see	see	VERB
ejpam-4832	107	21	[	[	X
ejpam-4832	107	22	8	8	NUM
ejpam-4832	107	23	]	]	NUM
ejpam-4832	107	24	)	)	PUNCT
ejpam-4832	107	25	.	.	PUNCT
ejpam-4832	108	1	define	define	VERB
ejpam-4832	108	2	an	an	DET
ejpam-4832	108	3	intuitionistic	intuitionistic	ADJ
ejpam-4832	108	4	fuzzy	fuzzy	ADJ
ejpam-4832	108	5	set	set	NOUN
ejpam-4832	108	6	i	i	PRON
ejpam-4832	108	7	:	:	PUNCT
ejpam-4832	108	8	=	=	X
ejpam-4832	108	9	{	{	PUNCT
ejpam-4832	108	10	⟨x	⟨x	VERB
ejpam-4832	108	11	,	,	PUNCT
ejpam-4832	108	12	fi	fi	NOUN
ejpam-4832	108	13	,	,	PUNCT
ejpam-4832	108	14	gi⟩	gi⟩	PROPN
ejpam-4832	108	15	|	|	ADV
ejpam-4832	108	16	x	x	X
ejpam-4832	108	17	∈	∈	NOUN
ejpam-4832	108	18	x	x	X
ejpam-4832	108	19	}	}	PUNCT
ejpam-4832	108	20	in	in	SCONJ
ejpam-4832	108	21	x	x	PUNCT
ejpam-4832	108	22	as	as	SCONJ
ejpam-4832	108	23	follows	follow	VERB
ejpam-4832	108	24	:	:	PUNCT
ejpam-4832	108	25	fi	fi	NOUN
ejpam-4832	108	26	:	:	PUNCT
ejpam-4832	108	27	x	x	X
ejpam-4832	108	28	→	→	SYM
ejpam-4832	109	1	[	[	X
ejpam-4832	109	2	0	0	NUM
ejpam-4832	109	3	,	,	PUNCT
ejpam-4832	109	4	1	1	NUM
ejpam-4832	109	5	]	]	PUNCT
ejpam-4832	109	6	,	,	PUNCT
ejpam-4832	109	7	x	x	SYM
ejpam-4832	109	8	7→	7→	X
ejpam-4832	109	9	{	{	PUNCT
ejpam-4832	109	10	0.68	0.68	NUM
ejpam-4832	109	11	if	if	SCONJ
ejpam-4832	109	12	x	x	SYM
ejpam-4832	109	13	∈	∈	PROPN
ejpam-4832	109	14	{	{	PUNCT
ejpam-4832	109	15	1	1	NUM
ejpam-4832	109	16	,	,	PUNCT
ejpam-4832	109	17	e	e	NOUN
ejpam-4832	109	18	,	,	PUNCT
ejpam-4832	109	19	0	0	NUM
ejpam-4832	109	20	}	}	PUNCT
ejpam-4832	109	21	,	,	PUNCT
ejpam-4832	109	22	0.24	0.24	NUM
ejpam-4832	109	23	otherwise	otherwise	ADV
ejpam-4832	109	24	,	,	PUNCT
ejpam-4832	109	25	and	and	CCONJ
ejpam-4832	109	26	gi	gi	INTJ
ejpam-4832	109	27	:	:	PUNCT
ejpam-4832	109	28	x	x	X
ejpam-4832	109	29	→	→	PUNCT
ejpam-4832	110	1	[	[	X
ejpam-4832	110	2	0	0	NUM
ejpam-4832	110	3	,	,	PUNCT
ejpam-4832	110	4	1	1	NUM
ejpam-4832	110	5	]	]	PUNCT
ejpam-4832	110	6	,	,	PUNCT
ejpam-4832	110	7	x	x	SYM
ejpam-4832	110	8	7→	7→	NUM
ejpam-4832	110	9	{	{	PUNCT
ejpam-4832	110	10	0.31	0.31	NUM
ejpam-4832	110	11	if	if	SCONJ
ejpam-4832	110	12	x	x	X
ejpam-4832	110	13	∈	∈	PROPN
ejpam-4832	110	14	{	{	PUNCT
ejpam-4832	110	15	1	1	NUM
ejpam-4832	110	16	,	,	PUNCT
ejpam-4832	110	17	e	e	NOUN
ejpam-4832	110	18	,	,	PUNCT
ejpam-4832	110	19	0	0	NUM
ejpam-4832	110	20	}	}	PUNCT
ejpam-4832	110	21	,	,	PUNCT
ejpam-4832	110	22	0.59	0.59	NUM
ejpam-4832	110	23	otherwise	otherwise	ADV
ejpam-4832	110	24	.	.	PUNCT
ejpam-4832	111	1	it	it	PRON
ejpam-4832	111	2	is	be	AUX
ejpam-4832	111	3	routine	routine	ADJ
ejpam-4832	111	4	to	to	PART
ejpam-4832	111	5	verify	verify	VERB
ejpam-4832	111	6	that	that	SCONJ
ejpam-4832	111	7	i	i	PRON
ejpam-4832	111	8	:	:	PUNCT
ejpam-4832	111	9	=	=	X
ejpam-4832	111	10	{	{	PUNCT
ejpam-4832	111	11	⟨x	⟨x	VERB
ejpam-4832	111	12	,	,	PUNCT
ejpam-4832	111	13	fi	fi	NOUN
ejpam-4832	111	14	,	,	PUNCT
ejpam-4832	111	15	gi⟩	gi⟩	PROPN
ejpam-4832	111	16	|	|	ADV
ejpam-4832	111	17	x	x	SYM
ejpam-4832	111	18	∈	∈	NOUN
ejpam-4832	111	19	x	x	X
ejpam-4832	111	20	}	}	PUNCT
ejpam-4832	111	21	is	be	AUX
ejpam-4832	111	22	an	an	DET
ejpam-4832	111	23	intuitionistic	intuitionistic	ADJ
ejpam-4832	111	24	fuzzy	fuzzy	ADJ
ejpam-4832	111	25	subalgebra	subalgebra	NOUN
ejpam-4832	111	26	of	of	ADP
ejpam-4832	111	27	x	x	X
ejpam-4832	111	28	:	:	PUNCT
ejpam-4832	111	29	=	=	SYM
ejpam-4832	111	30	(	(	PUNCT
ejpam-4832	111	31	x	x	X
ejpam-4832	111	32	,	,	PUNCT
ejpam-4832	111	33	→	→	SYM
ejpam-4832	111	34	,	,	PUNCT
ejpam-4832	111	35	e	e	NOUN
ejpam-4832	111	36	,	,	PUNCT
ejpam-4832	111	37	≤x	≤x	PROPN
ejpam-4832	111	38	)	)	PUNCT
ejpam-4832	111	39	.	.	PUNCT
ejpam-4832	112	1	also	also	ADV
ejpam-4832	112	2	,	,	PUNCT
ejpam-4832	112	3	if	if	SCONJ
ejpam-4832	112	4	we	we	PRON
ejpam-4832	112	5	define	define	VERB
ejpam-4832	112	6	an	an	DET
ejpam-4832	112	7	intuitionistic	intuitionistic	ADJ
ejpam-4832	112	8	fuzzy	fuzzy	ADJ
ejpam-4832	112	9	set	set	NOUN
ejpam-4832	112	10	i	i	PRON
ejpam-4832	112	11	:	:	PUNCT
ejpam-4832	112	12	=	=	X
ejpam-4832	112	13	{	{	PUNCT
ejpam-4832	112	14	⟨x	⟨x	VERB
ejpam-4832	112	15	,	,	PUNCT
ejpam-4832	112	16	fi	fi	NOUN
ejpam-4832	112	17	,	,	PUNCT
ejpam-4832	112	18	gi⟩	gi⟩	PROPN
ejpam-4832	112	19	|	|	ADV
ejpam-4832	112	20	x	x	X
ejpam-4832	112	21	∈	∈	NOUN
ejpam-4832	112	22	x	x	X
ejpam-4832	112	23	}	}	PUNCT
ejpam-4832	112	24	in	in	ADP
ejpam-4832	112	25	x	x	PUNCT
ejpam-4832	112	26	by	by	ADP
ejpam-4832	112	27	fi	fi	NOUN
ejpam-4832	112	28	:	:	PUNCT
ejpam-4832	112	29	x	x	X
ejpam-4832	112	30	→	→	SYM
ejpam-4832	113	1	[	[	X
ejpam-4832	113	2	0	0	NUM
ejpam-4832	113	3	,	,	PUNCT
ejpam-4832	113	4	1	1	NUM
ejpam-4832	113	5	]	]	PUNCT
ejpam-4832	113	6	,	,	PUNCT
ejpam-4832	113	7	x	x	SYM
ejpam-4832	113	8	7→	7→	NUM
ejpam-4832	113	9	{	{	PUNCT
ejpam-4832	113	10	0.63	0.63	NUM
ejpam-4832	113	11	if	if	SCONJ
ejpam-4832	113	12	x	x	SYM
ejpam-4832	113	13	∈	∈	PROPN
ejpam-4832	113	14	{	{	PUNCT
ejpam-4832	113	15	e	e	NOUN
ejpam-4832	113	16	,	,	PUNCT
ejpam-4832	113	17	0	0	NUM
ejpam-4832	113	18	}	}	PUNCT
ejpam-4832	113	19	,	,	PUNCT
ejpam-4832	113	20	0.27	0.27	NUM
ejpam-4832	113	21	otherwise	otherwise	ADV
ejpam-4832	113	22	,	,	PUNCT
ejpam-4832	113	23	and	and	CCONJ
ejpam-4832	113	24	gi	gi	INTJ
ejpam-4832	113	25	:	:	PUNCT
ejpam-4832	114	1	x	x	X
ejpam-4832	114	2	→	→	PUNCT
ejpam-4832	114	3	[	[	X
ejpam-4832	114	4	0	0	NUM
ejpam-4832	114	5	,	,	PUNCT
ejpam-4832	114	6	1	1	NUM
ejpam-4832	114	7	]	]	PUNCT
ejpam-4832	114	8	,	,	PUNCT
ejpam-4832	114	9	x	x	SYM
ejpam-4832	114	10	7→	7→	NUM
ejpam-4832	114	11	{	{	PUNCT
ejpam-4832	114	12	0.29	0.29	NUM
ejpam-4832	114	13	if	if	SCONJ
ejpam-4832	114	14	x	x	X
ejpam-4832	114	15	∈	∈	PROPN
ejpam-4832	114	16	{	{	PUNCT
ejpam-4832	114	17	e	e	NOUN
ejpam-4832	114	18	,	,	PUNCT
ejpam-4832	114	19	0	0	NUM
ejpam-4832	114	20	}	}	PUNCT
ejpam-4832	114	21	,	,	PUNCT
ejpam-4832	114	22	0.62	0.62	NUM
ejpam-4832	114	23	otherwise	otherwise	ADV
ejpam-4832	114	24	,	,	PUNCT
ejpam-4832	114	25	then	then	ADV
ejpam-4832	114	26	i	i	PRON
ejpam-4832	114	27	:	:	PUNCT
ejpam-4832	114	28	=	=	X
ejpam-4832	114	29	{	{	PUNCT
ejpam-4832	114	30	⟨x	⟨x	VERB
ejpam-4832	114	31	,	,	PUNCT
ejpam-4832	114	32	fi	fi	NOUN
ejpam-4832	114	33	,	,	PUNCT
ejpam-4832	114	34	gi⟩	gi⟩	PROPN
ejpam-4832	114	35	|	|	ADV
ejpam-4832	114	36	x	x	SYM
ejpam-4832	114	37	∈	∈	NOUN
ejpam-4832	114	38	x	x	X
ejpam-4832	114	39	}	}	PUNCT
ejpam-4832	114	40	is	be	AUX
ejpam-4832	114	41	an	an	DET
ejpam-4832	114	42	intuitionistic	intuitionistic	ADJ
ejpam-4832	114	43	fuzzy	fuzzy	ADJ
ejpam-4832	114	44	ordered	order	VERB
ejpam-4832	114	45	subalgebra	subalgebra	NOUN
ejpam-4832	114	46	of	of	ADP
ejpam-4832	114	47	x	x	X
ejpam-4832	114	48	:	:	PUNCT
ejpam-4832	114	49	=	=	SYM
ejpam-4832	114	50	(	(	PUNCT
ejpam-4832	114	51	x	x	X
ejpam-4832	114	52	,	,	PUNCT
ejpam-4832	114	53	→	→	SYM
ejpam-4832	114	54	,	,	PUNCT
ejpam-4832	114	55	e	e	NOUN
ejpam-4832	114	56	,	,	PUNCT
ejpam-4832	114	57	≤x	≤x	PROPN
ejpam-4832	114	58	)	)	PUNCT
ejpam-4832	114	59	.	.	PUNCT
ejpam-4832	115	1	it	it	PRON
ejpam-4832	115	2	is	be	AUX
ejpam-4832	115	3	clear	clear	ADJ
ejpam-4832	115	4	that	that	SCONJ
ejpam-4832	115	5	every	every	DET
ejpam-4832	115	6	intuitionistic	intuitionistic	ADJ
ejpam-4832	115	7	fuzzy	fuzzy	ADJ
ejpam-4832	115	8	subalgebra	subalgebra	NOUN
ejpam-4832	115	9	is	be	AUX
ejpam-4832	115	10	an	an	DET
ejpam-4832	115	11	intuitionistic	intuitionistic	ADJ
ejpam-4832	115	12	fuzzy	fuzzy	ADJ
ejpam-4832	115	13	ordered	order	VERB
ejpam-4832	115	14	subalgebra	subalgebra	NOUN
ejpam-4832	115	15	,	,	PUNCT
ejpam-4832	115	16	but	but	CCONJ
ejpam-4832	115	17	the	the	DET
ejpam-4832	115	18	converse	converse	NOUN
ejpam-4832	115	19	is	be	AUX
ejpam-4832	115	20	not	not	PART
ejpam-4832	115	21	true	true	ADJ
ejpam-4832	115	22	as	as	SCONJ
ejpam-4832	115	23	seen	see	VERB
ejpam-4832	115	24	in	in	ADP
ejpam-4832	115	25	the	the	DET
ejpam-4832	115	26	example	example	NOUN
ejpam-4832	115	27	below	below	ADV
ejpam-4832	115	28	.	.	PUNCT
ejpam-4832	116	1	example	example	NOUN
ejpam-4832	117	1	2	2	NUM
ejpam-4832	117	2	.	.	PUNCT
ejpam-4832	117	3	let	let	VERB
ejpam-4832	117	4	x	x	PUNCT
ejpam-4832	117	5	=	=	PUNCT
ejpam-4832	117	6	{	{	PUNCT
ejpam-4832	117	7	0	0	NUM
ejpam-4832	117	8	,	,	PUNCT
ejpam-4832	117	9	1	1	NUM
ejpam-4832	117	10	,	,	PUNCT
ejpam-4832	117	11	34	34	NUM
ejpam-4832	117	12	,	,	PUNCT
ejpam-4832	117	13	1	1	NUM
ejpam-4832	117	14	2	2	NUM
ejpam-4832	117	15	,	,	PUNCT
ejpam-4832	117	16	1	1	NUM
ejpam-4832	117	17	4	4	NUM
ejpam-4832	117	18	}	}	PUNCT
ejpam-4832	117	19	be	be	AUX
ejpam-4832	117	20	a	a	DET
ejpam-4832	117	21	set	set	NOUN
ejpam-4832	117	22	with	with	ADP
ejpam-4832	117	23	a	a	DET
ejpam-4832	117	24	binary	binary	ADJ
ejpam-4832	117	25	operation	operation	NOUN
ejpam-4832	117	26	“	"	PUNCT
ejpam-4832	117	27	→	→	SYM
ejpam-4832	117	28	”	"	PUNCT
ejpam-4832	117	29	given	give	VERB
ejpam-4832	117	30	by	by	ADP
ejpam-4832	117	31	table	table	NOUN
ejpam-4832	117	32	2	2	NUM
ejpam-4832	117	33	and	and	CCONJ
ejpam-4832	117	34	let	let	VERB
ejpam-4832	117	35	≤e	≤e	VERB
ejpam-4832	117	36	be	be	AUX
ejpam-4832	117	37	the	the	DET
ejpam-4832	117	38	natural	natural	ADJ
ejpam-4832	117	39	order	order	NOUN
ejpam-4832	117	40	in	in	ADP
ejpam-4832	117	41	x.	x.	NOUN
ejpam-4832	117	42	then	then	ADV
ejpam-4832	117	43	x	x	X
ejpam-4832	117	44	:	:	PUNCT
ejpam-4832	117	45	=	=	SYM
ejpam-4832	117	46	(	(	PUNCT
ejpam-4832	117	47	x	x	X
ejpam-4832	117	48	,	,	PUNCT
ejpam-4832	117	49	→	→	SYM
ejpam-4832	117	50	,	,	PUNCT
ejpam-4832	117	51	e	e	NOUN
ejpam-4832	117	52	,	,	PUNCT
ejpam-4832	117	53	≤x	≤x	PROPN
ejpam-4832	117	54	)	)	PUNCT
ejpam-4832	117	55	,	,	PUNCT
ejpam-4832	117	56	where	where	SCONJ
ejpam-4832	117	57	e	e	NOUN
ejpam-4832	117	58	=	=	NOUN
ejpam-4832	117	59	3	3	NUM
ejpam-4832	117	60	4	4	NUM
ejpam-4832	117	61	,	,	PUNCT
ejpam-4832	117	62	is	be	AUX
ejpam-4832	117	63	an	an	DET
ejpam-4832	117	64	obci	obci	ADJ
ejpam-4832	117	65	-	-	PUNCT
ejpam-4832	117	66	algebra	algebra	NOUN
ejpam-4832	117	67	(	(	PUNCT
ejpam-4832	117	68	see	see	VERB
ejpam-4832	117	69	[	[	X
ejpam-4832	117	70	8	8	NUM
ejpam-4832	117	71	]	]	NUM
ejpam-4832	117	72	)	)	PUNCT
ejpam-4832	117	73	.	.	PUNCT
ejpam-4832	118	1	define	define	VERB
ejpam-4832	118	2	an	an	DET
ejpam-4832	118	3	intuitionistic	intuitionistic	ADJ
ejpam-4832	118	4	fuzzy	fuzzy	ADJ
ejpam-4832	118	5	set	set	NOUN
ejpam-4832	118	6	i	i	PRON
ejpam-4832	118	7	:	:	PUNCT
ejpam-4832	118	8	=	=	X
ejpam-4832	118	9	{	{	PUNCT
ejpam-4832	118	10	⟨x	⟨x	VERB
ejpam-4832	118	11	,	,	PUNCT
ejpam-4832	118	12	fi	fi	NOUN
ejpam-4832	118	13	,	,	PUNCT
ejpam-4832	118	14	gi⟩	gi⟩	PROPN
ejpam-4832	118	15	|	|	ADV
ejpam-4832	118	16	x	x	X
ejpam-4832	118	17	∈	∈	NOUN
ejpam-4832	118	18	x	x	X
ejpam-4832	118	19	}	}	PUNCT
ejpam-4832	118	20	in	in	SCONJ
ejpam-4832	118	21	x	x	PUNCT
ejpam-4832	118	22	as	as	SCONJ
ejpam-4832	118	23	follows	follow	VERB
ejpam-4832	118	24	:	:	PUNCT
ejpam-4832	118	25	fi	fi	NOUN
ejpam-4832	118	26	:	:	PUNCT
ejpam-4832	118	27	x	x	X
ejpam-4832	118	28	→	→	SYM
ejpam-4832	119	1	[	[	X
ejpam-4832	119	2	0	0	NUM
ejpam-4832	119	3	,	,	PUNCT
ejpam-4832	119	4	1	1	NUM
ejpam-4832	119	5	]	]	PUNCT
ejpam-4832	119	6	,	,	PUNCT
ejpam-4832	119	7	x	x	SYM
ejpam-4832	119	8	7→	7→	NUM
ejpam-4832	119	9	{	{	PUNCT
ejpam-4832	119	10	0.78	0.78	NUM
ejpam-4832	119	11	if	if	SCONJ
ejpam-4832	119	12	x	x	X
ejpam-4832	119	13	∈	∈	NOUN
ejpam-4832	119	14	{	{	PUNCT
ejpam-4832	119	15	3	3	NUM
ejpam-4832	119	16	4	4	NUM
ejpam-4832	119	17	,	,	PUNCT
ejpam-4832	119	18	0	0	NUM
ejpam-4832	119	19	}	}	PUNCT
ejpam-4832	119	20	,	,	PUNCT
ejpam-4832	119	21	0.23	0.23	NUM
ejpam-4832	119	22	otherwise	otherwise	ADV
ejpam-4832	119	23	,	,	PUNCT
ejpam-4832	119	24	e.	e.	PROPN
ejpam-4832	119	25	h.	h.	PROPN
ejpam-4832	119	26	roh	roh	PROPN
ejpam-4832	119	27	,	,	PUNCT
ejpam-4832	119	28	e.	e.	PROPN
ejpam-4832	119	29	yang	yang	PROPN
ejpam-4832	119	30	,	,	PUNCT
ejpam-4832	119	31	y.	y.	PROPN
ejpam-4832	119	32	b.	b.	PROPN
ejpam-4832	119	33	jun	jun	PROPN
ejpam-4832	119	34	/	/	SYM
ejpam-4832	119	35	eur	eur	PROPN
ejpam-4832	119	36	.	.	PUNCT
ejpam-4832	120	1	j.	j.	PROPN
ejpam-4832	120	2	pure	pure	PROPN
ejpam-4832	120	3	appl	appl	PROPN
ejpam-4832	120	4	.	.	PROPN
ejpam-4832	120	5	math	math	PROPN
ejpam-4832	120	6	,	,	PUNCT
ejpam-4832	120	7	16	16	NUM
ejpam-4832	120	8	(	(	PUNCT
ejpam-4832	120	9	3	3	NUM
ejpam-4832	120	10	)	)	PUNCT
ejpam-4832	120	11	(	(	PUNCT
ejpam-4832	120	12	2023	2023	NUM
ejpam-4832	120	13	)	)	PUNCT
ejpam-4832	120	14	,	,	PUNCT
ejpam-4832	120	15	1342	1342	NUM
ejpam-4832	120	16	-	-	SYM
ejpam-4832	120	17	1358	1358	NUM
ejpam-4832	120	18	1347	1347	NUM
ejpam-4832	120	19	table	table	NOUN
ejpam-4832	120	20	2	2	NUM
ejpam-4832	120	21	:	:	PUNCT
ejpam-4832	120	22	cayley	cayley	ADJ
ejpam-4832	120	23	table	table	NOUN
ejpam-4832	120	24	for	for	ADP
ejpam-4832	120	25	the	the	DET
ejpam-4832	120	26	binary	binary	ADJ
ejpam-4832	120	27	operation	operation	NOUN
ejpam-4832	120	28	“	"	PUNCT
ejpam-4832	120	29	→	→	SYM
ejpam-4832	120	30	”	"	PUNCT
ejpam-4832	120	31	→	→	SYM
ejpam-4832	120	32	1	1	NUM
ejpam-4832	120	33	3	3	NUM
ejpam-4832	120	34	4	4	NUM
ejpam-4832	120	35	1	1	NUM
ejpam-4832	120	36	2	2	NUM
ejpam-4832	120	37	1	1	NUM
ejpam-4832	120	38	4	4	NUM
ejpam-4832	120	39	0	0	NUM
ejpam-4832	120	40	1	1	NUM
ejpam-4832	120	41	1	1	NUM
ejpam-4832	120	42	0	0	NUM
ejpam-4832	120	43	0	0	NUM
ejpam-4832	120	44	0	0	NUM
ejpam-4832	120	45	0	0	NUM
ejpam-4832	120	46	3	3	NUM
ejpam-4832	120	47	4	4	NUM
ejpam-4832	120	48	1	1	NUM
ejpam-4832	120	49	3	3	NUM
ejpam-4832	120	50	4	4	NUM
ejpam-4832	120	51	1	1	NUM
ejpam-4832	120	52	2	2	NUM
ejpam-4832	120	53	1	1	NUM
ejpam-4832	120	54	4	4	NUM
ejpam-4832	120	55	0	0	NUM
ejpam-4832	120	56	1	1	NUM
ejpam-4832	120	57	2	2	NUM
ejpam-4832	120	58	1	1	NUM
ejpam-4832	120	59	3	3	NUM
ejpam-4832	120	60	4	4	NUM
ejpam-4832	120	61	3	3	NUM
ejpam-4832	120	62	4	4	NUM
ejpam-4832	120	63	1	1	NUM
ejpam-4832	120	64	2	2	NUM
ejpam-4832	120	65	0	0	NUM
ejpam-4832	120	66	1	1	NUM
ejpam-4832	120	67	4	4	NUM
ejpam-4832	120	68	1	1	NUM
ejpam-4832	120	69	3	3	NUM
ejpam-4832	120	70	4	4	NUM
ejpam-4832	120	71	3	3	NUM
ejpam-4832	120	72	4	4	NUM
ejpam-4832	120	73	3	3	NUM
ejpam-4832	120	74	4	4	NUM
ejpam-4832	120	75	0	0	NUM
ejpam-4832	120	76	0	0	NUM
ejpam-4832	120	77	1	1	NUM
ejpam-4832	120	78	1	1	NUM
ejpam-4832	120	79	1	1	NUM
ejpam-4832	120	80	1	1	NUM
ejpam-4832	120	81	1	1	NUM
ejpam-4832	120	82	and	and	CCONJ
ejpam-4832	120	83	gi	gi	INTJ
ejpam-4832	120	84	:	:	PUNCT
ejpam-4832	120	85	x	x	X
ejpam-4832	121	1	→	→	PUNCT
ejpam-4832	121	2	[	[	X
ejpam-4832	121	3	0	0	NUM
ejpam-4832	121	4	,	,	PUNCT
ejpam-4832	121	5	1	1	NUM
ejpam-4832	121	6	]	]	PUNCT
ejpam-4832	121	7	,	,	PUNCT
ejpam-4832	121	8	x	x	SYM
ejpam-4832	121	9	7→	7→	NUM
ejpam-4832	121	10	{	{	PUNCT
ejpam-4832	121	11	0.12	0.12	NUM
ejpam-4832	121	12	if	if	SCONJ
ejpam-4832	121	13	x	x	X
ejpam-4832	121	14	∈	∈	NOUN
ejpam-4832	121	15	{	{	PUNCT
ejpam-4832	121	16	3	3	NUM
ejpam-4832	121	17	4	4	NUM
ejpam-4832	121	18	,	,	PUNCT
ejpam-4832	121	19	0	0	NUM
ejpam-4832	121	20	}	}	PUNCT
ejpam-4832	121	21	,	,	PUNCT
ejpam-4832	121	22	0.61	0.61	NUM
ejpam-4832	121	23	otherwise	otherwise	ADV
ejpam-4832	121	24	.	.	PUNCT
ejpam-4832	122	1	it	it	PRON
ejpam-4832	122	2	is	be	AUX
ejpam-4832	122	3	routine	routine	ADJ
ejpam-4832	122	4	to	to	PART
ejpam-4832	122	5	verify	verify	VERB
ejpam-4832	122	6	that	that	SCONJ
ejpam-4832	122	7	f	f	PROPN
ejpam-4832	122	8	is	be	AUX
ejpam-4832	122	9	an	an	DET
ejpam-4832	122	10	intuitionistic	intuitionistic	ADJ
ejpam-4832	122	11	fuzzy	fuzzy	ADJ
ejpam-4832	122	12	ordered	order	VERB
ejpam-4832	122	13	subalgebra	subalgebra	NOUN
ejpam-4832	122	14	of	of	ADP
ejpam-4832	122	15	x	x	X
ejpam-4832	122	16	:	:	PUNCT
ejpam-4832	122	17	=	=	SYM
ejpam-4832	122	18	(	(	PUNCT
ejpam-4832	122	19	x	x	X
ejpam-4832	122	20	,	,	PUNCT
ejpam-4832	122	21	→	→	SYM
ejpam-4832	122	22	,	,	PUNCT
ejpam-4832	122	23	e	e	NOUN
ejpam-4832	122	24	,	,	PUNCT
ejpam-4832	122	25	≤x	≤x	PROPN
ejpam-4832	122	26	)	)	PUNCT
ejpam-4832	122	27	.	.	PUNCT
ejpam-4832	123	1	but	but	CCONJ
ejpam-4832	123	2	it	it	PRON
ejpam-4832	123	3	is	be	AUX
ejpam-4832	123	4	not	not	PART
ejpam-4832	123	5	an	an	DET
ejpam-4832	123	6	intuitionistic	intuitionistic	ADJ
ejpam-4832	123	7	fuzzy	fuzzy	ADJ
ejpam-4832	123	8	subalgebra	subalgebra	NOUN
ejpam-4832	123	9	of	of	ADP
ejpam-4832	123	10	x	x	X
ejpam-4832	123	11	:	:	PUNCT
ejpam-4832	123	12	=	=	SYM
ejpam-4832	123	13	(	(	PUNCT
ejpam-4832	123	14	x	x	X
ejpam-4832	123	15	,	,	PUNCT
ejpam-4832	123	16	→	→	SYM
ejpam-4832	123	17	,	,	PUNCT
ejpam-4832	123	18	e	e	NOUN
ejpam-4832	123	19	,	,	PUNCT
ejpam-4832	123	20	≤x	≤x	PROPN
ejpam-4832	123	21	)	)	PUNCT
ejpam-4832	123	22	since	since	SCONJ
ejpam-4832	123	23	fi(0	fi(0	PROPN
ejpam-4832	123	24	→	→	SYM
ejpam-4832	123	25	3	3	NUM
ejpam-4832	123	26	4	4	NUM
ejpam-4832	123	27	)	)	PUNCT
ejpam-4832	123	28	=	=	PUNCT
ejpam-4832	124	1	fi(1	fi(1	ADJ
ejpam-4832	124	2	)	)	PUNCT
ejpam-4832	124	3	=	=	SYM
ejpam-4832	124	4	0.23	0.23	NUM
ejpam-4832	124	5	≱	≱	PROPN
ejpam-4832	124	6	0.78	0.78	NUM
ejpam-4832	124	7	=	=	SYM
ejpam-4832	124	8	min{fi(0	min{fi(0	PROPN
ejpam-4832	124	9	)	)	PUNCT
ejpam-4832	124	10	,	,	PUNCT
ejpam-4832	124	11	fi(34	fi(34	PROPN
ejpam-4832	124	12	)	)	PUNCT
ejpam-4832	124	13	}	}	PUNCT
ejpam-4832	124	14	and/or	and/or	CCONJ
ejpam-4832	124	15	gi(0	gi(0	PROPN
ejpam-4832	124	16	→	→	SYM
ejpam-4832	124	17	3	3	NUM
ejpam-4832	124	18	4	4	NUM
ejpam-4832	124	19	)	)	PUNCT
ejpam-4832	124	20	=	=	PUNCT
ejpam-4832	125	1	fi(1	fi(1	ADJ
ejpam-4832	125	2	)	)	PUNCT
ejpam-4832	125	3	=	=	SYM
ejpam-4832	125	4	0.61	0.61	NUM
ejpam-4832	125	5	≰	≰	PROPN
ejpam-4832	125	6	0.12	0.12	NUM
ejpam-4832	125	7	=	=	SYM
ejpam-4832	125	8	max{gi(0	max{gi(0	PROPN
ejpam-4832	125	9	)	)	PUNCT
ejpam-4832	125	10	,	,	PUNCT
ejpam-4832	125	11	gi(34	gi(34	PROPN
ejpam-4832	125	12	)	)	PUNCT
ejpam-4832	125	13	}	}	PUNCT
ejpam-4832	125	14	.	.	PUNCT
ejpam-4832	126	1	we	we	PRON
ejpam-4832	126	2	provide	provide	VERB
ejpam-4832	126	3	a	a	DET
ejpam-4832	126	4	condition	condition	NOUN
ejpam-4832	126	5	in	in	ADP
ejpam-4832	126	6	which	which	PRON
ejpam-4832	126	7	the	the	DET
ejpam-4832	126	8	intuitionistic	intuitionistic	ADJ
ejpam-4832	126	9	fuzzy	fuzzy	ADJ
ejpam-4832	126	10	ordered	order	VERB
ejpam-4832	126	11	subalgebra	subalgebra	NOUN
ejpam-4832	126	12	becomes	become	VERB
ejpam-4832	126	13	the	the	DET
ejpam-4832	126	14	intuitionistic	intuitionistic	ADJ
ejpam-4832	126	15	fuzzy	fuzzy	ADJ
ejpam-4832	126	16	subalgebra	subalgebra	NOUN
ejpam-4832	126	17	.	.	PUNCT
ejpam-4832	127	1	theorem	theorem	NOUN
ejpam-4832	127	2	1	1	NUM
ejpam-4832	127	3	.	.	PUNCT
ejpam-4832	128	1	let	let	VERB
ejpam-4832	128	2	i	i	PRON
ejpam-4832	128	3	:	:	PUNCT
ejpam-4832	128	4	=	=	X
ejpam-4832	128	5	{	{	PUNCT
ejpam-4832	128	6	⟨x	⟨x	VERB
ejpam-4832	128	7	,	,	PUNCT
ejpam-4832	128	8	fi	fi	NOUN
ejpam-4832	128	9	,	,	PUNCT
ejpam-4832	128	10	gi⟩	gi⟩	PROPN
ejpam-4832	128	11	|	|	ADV
ejpam-4832	128	12	x	x	SYM
ejpam-4832	128	13	∈	∈	PROPN
ejpam-4832	128	14	x	x	VERB
ejpam-4832	128	15	}	}	PUNCT
ejpam-4832	128	16	be	be	AUX
ejpam-4832	128	17	an	an	DET
ejpam-4832	128	18	intuitionistic	intuitionistic	ADJ
ejpam-4832	128	19	fuzzy	fuzzy	ADJ
ejpam-4832	128	20	ordered	order	VERB
ejpam-4832	128	21	subalgebra	subalgebra	NOUN
ejpam-4832	128	22	of	of	ADP
ejpam-4832	128	23	x	x	X
ejpam-4832	128	24	:	:	PUNCT
ejpam-4832	128	25	=	=	SYM
ejpam-4832	128	26	(	(	PUNCT
ejpam-4832	128	27	x	x	X
ejpam-4832	128	28	,	,	PUNCT
ejpam-4832	128	29	→	→	SYM
ejpam-4832	128	30	,	,	PUNCT
ejpam-4832	128	31	e	e	NOUN
ejpam-4832	128	32	,	,	PUNCT
ejpam-4832	128	33	≤x	≤x	PROPN
ejpam-4832	128	34	)	)	PUNCT
ejpam-4832	128	35	.	.	PUNCT
ejpam-4832	129	1	if	if	SCONJ
ejpam-4832	129	2	its	its	PRON
ejpam-4832	129	3	∈(t	∈(t	NOUN
ejpam-4832	129	4	,	,	PUNCT
ejpam-4832	129	5	s)-level	s)-level	PUNCT
ejpam-4832	129	6	set	set	VERB
ejpam-4832	129	7	i∈	i∈	ADP
ejpam-4832	129	8	(	(	PUNCT
ejpam-4832	129	9	t	t	PROPN
ejpam-4832	129	10	,	,	PUNCT
ejpam-4832	129	11	s	s	PART
ejpam-4832	129	12	)	)	PUNCT
ejpam-4832	129	13	satisfies	satisfie	NOUN
ejpam-4832	129	14	e	e	X
ejpam-4832	129	15	≤x	≤x	PROPN
ejpam-4832	129	16	x	x	PUNCT
ejpam-4832	129	17	for	for	ADP
ejpam-4832	129	18	all	all	DET
ejpam-4832	129	19	x	x	SYM
ejpam-4832	129	20	∈	∈	NOUN
ejpam-4832	129	21	i∈	i∈	ADP
ejpam-4832	129	22	(	(	PUNCT
ejpam-4832	129	23	t	t	PROPN
ejpam-4832	129	24	,	,	PUNCT
ejpam-4832	129	25	s	s	PART
ejpam-4832	129	26	)	)	PUNCT
ejpam-4832	129	27	,	,	PUNCT
ejpam-4832	129	28	then	then	ADV
ejpam-4832	129	29	i	i	PRON
ejpam-4832	129	30	:	:	PUNCT
ejpam-4832	129	31	=	=	X
ejpam-4832	129	32	{	{	PUNCT
ejpam-4832	129	33	⟨x	⟨x	VERB
ejpam-4832	129	34	,	,	PUNCT
ejpam-4832	129	35	fi	fi	NOUN
ejpam-4832	129	36	,	,	PUNCT
ejpam-4832	129	37	gi⟩	gi⟩	PROPN
ejpam-4832	129	38	|	|	ADV
ejpam-4832	129	39	x	x	SYM
ejpam-4832	129	40	∈	∈	NOUN
ejpam-4832	129	41	x	x	X
ejpam-4832	129	42	}	}	PUNCT
ejpam-4832	129	43	is	be	AUX
ejpam-4832	129	44	an	an	DET
ejpam-4832	129	45	intuitionistic	intuitionistic	ADJ
ejpam-4832	129	46	fuzzy	fuzzy	ADJ
ejpam-4832	129	47	subalgebra	subalgebra	NOUN
ejpam-4832	129	48	of	of	ADP
ejpam-4832	129	49	x	x	X
ejpam-4832	129	50	:	:	PUNCT
ejpam-4832	129	51	=	=	SYM
ejpam-4832	129	52	(	(	PUNCT
ejpam-4832	129	53	x	x	X
ejpam-4832	129	54	,	,	PUNCT
ejpam-4832	129	55	→	→	SYM
ejpam-4832	129	56	,	,	PUNCT
ejpam-4832	129	57	e	e	NOUN
ejpam-4832	129	58	,	,	PUNCT
ejpam-4832	129	59	≤x	≤x	PROPN
ejpam-4832	129	60	)	)	PUNCT
ejpam-4832	129	61	.	.	PUNCT
ejpam-4832	130	1	proof	proof	NOUN
ejpam-4832	130	2	.	.	PUNCT
ejpam-4832	131	1	straightforward	straightforward	ADJ
ejpam-4832	131	2	.	.	PUNCT
ejpam-4832	132	1	theorem	theorem	NOUN
ejpam-4832	132	2	2	2	NUM
ejpam-4832	132	3	.	.	PUNCT
ejpam-4832	132	4	an	an	DET
ejpam-4832	132	5	intuitionistic	intuitionistic	ADJ
ejpam-4832	132	6	fuzzy	fuzzy	ADJ
ejpam-4832	132	7	set	set	NOUN
ejpam-4832	133	1	i	i	PRON
ejpam-4832	133	2	:	:	PUNCT
ejpam-4832	133	3	=	=	X
ejpam-4832	133	4	{	{	PUNCT
ejpam-4832	133	5	⟨x	⟨x	VERB
ejpam-4832	133	6	,	,	PUNCT
ejpam-4832	133	7	fi	fi	NOUN
ejpam-4832	133	8	,	,	PUNCT
ejpam-4832	133	9	gi⟩	gi⟩	PROPN
ejpam-4832	133	10	|	|	ADV
ejpam-4832	133	11	x	x	X
ejpam-4832	133	12	∈	∈	NOUN
ejpam-4832	133	13	x	x	X
ejpam-4832	133	14	}	}	PUNCT
ejpam-4832	133	15	in	in	ADP
ejpam-4832	133	16	x	x	PRON
ejpam-4832	133	17	is	be	AUX
ejpam-4832	133	18	an	an	DET
ejpam-4832	133	19	intuitionistic	intuitionistic	ADJ
ejpam-4832	133	20	fuzzy	fuzzy	ADJ
ejpam-4832	133	21	subalgebra	subalgebra	NOUN
ejpam-4832	133	22	of	of	ADP
ejpam-4832	133	23	x	x	X
ejpam-4832	133	24	:	:	PUNCT
ejpam-4832	133	25	=	=	SYM
ejpam-4832	133	26	(	(	PUNCT
ejpam-4832	133	27	x	x	X
ejpam-4832	133	28	,	,	PUNCT
ejpam-4832	133	29	→	→	SYM
ejpam-4832	133	30	,	,	PUNCT
ejpam-4832	133	31	e	e	NOUN
ejpam-4832	133	32	,	,	PUNCT
ejpam-4832	133	33	≤x	≤x	PROPN
ejpam-4832	133	34	)	)	PUNCT
ejpam-4832	133	35	if	if	SCONJ
ejpam-4832	133	36	and	and	CCONJ
ejpam-4832	133	37	only	only	ADV
ejpam-4832	133	38	if	if	SCONJ
ejpam-4832	133	39	it	it	PRON
ejpam-4832	133	40	satisfies	satisfy	VERB
ejpam-4832	133	41	:	:	PUNCT
ejpam-4832	134	1	x(t1,s1	x(t1,s1	X
ejpam-4832	134	2	)	)	PUNCT
ejpam-4832	134	3	∈	∈	PROPN
ejpam-4832	135	1	i	i	PRON
ejpam-4832	135	2	,	,	PUNCT
ejpam-4832	135	3	y(t2,s2	y(t2,s2	PROPN
ejpam-4832	135	4	)	)	PUNCT
ejpam-4832	135	5	∈	∈	PROPN
ejpam-4832	135	6	i	i	PRON
ejpam-4832	135	7	⇒	⇒	VERB
ejpam-4832	135	8	(	(	PUNCT
ejpam-4832	135	9	x	x	NOUN
ejpam-4832	135	10	→	→	SYM
ejpam-4832	135	11	y)(min{t1,t2},max{s1,s2	y)(min{t1,t2},max{s1,s2	PRON
ejpam-4832	135	12	}	}	PUNCT
ejpam-4832	135	13	)	)	PUNCT
ejpam-4832	136	1	∈	∈	PROPN
ejpam-4832	137	1	i	i	PRON
ejpam-4832	137	2	(	(	PUNCT
ejpam-4832	137	3	24	24	NUM
ejpam-4832	137	4	)	)	PUNCT
ejpam-4832	137	5	for	for	ADP
ejpam-4832	137	6	all	all	DET
ejpam-4832	137	7	x	x	NOUN
ejpam-4832	137	8	,	,	PUNCT
ejpam-4832	137	9	y	y	PROPN
ejpam-4832	137	10	∈	∈	PROPN
ejpam-4832	137	11	x	x	X
ejpam-4832	137	12	and	and	CCONJ
ejpam-4832	137	13	(	(	PUNCT
ejpam-4832	137	14	ti	ti	NOUN
ejpam-4832	137	15	,	,	PUNCT
ejpam-4832	137	16	si	si	ADJ
ejpam-4832	137	17	)	)	PUNCT
ejpam-4832	137	18	∈	∈	PROPN
ejpam-4832	137	19	(	(	PUNCT
ejpam-4832	137	20	0	0	NUM
ejpam-4832	137	21	,	,	PUNCT
ejpam-4832	137	22	1]×	1]×	NUM
ejpam-4832	137	23	[	[	X
ejpam-4832	137	24	0	0	NUM
ejpam-4832	137	25	,	,	PUNCT
ejpam-4832	137	26	1	1	NUM
ejpam-4832	137	27	)	)	PUNCT
ejpam-4832	137	28	for	for	ADP
ejpam-4832	137	29	i	i	PRON
ejpam-4832	137	30	=	=	SYM
ejpam-4832	137	31	1	1	NUM
ejpam-4832	137	32	,	,	PUNCT
ejpam-4832	137	33	2	2	NUM
ejpam-4832	137	34	.	.	PUNCT
ejpam-4832	137	35	proof	proof	NOUN
ejpam-4832	137	36	.	.	PUNCT
ejpam-4832	138	1	assume	assume	VERB
ejpam-4832	138	2	that	that	SCONJ
ejpam-4832	138	3	i	i	PRON
ejpam-4832	138	4	:	:	PUNCT
ejpam-4832	138	5	=	=	X
ejpam-4832	138	6	{	{	PUNCT
ejpam-4832	138	7	⟨x	⟨x	VERB
ejpam-4832	138	8	,	,	PUNCT
ejpam-4832	138	9	fi	fi	NOUN
ejpam-4832	138	10	,	,	PUNCT
ejpam-4832	138	11	gi⟩	gi⟩	PROPN
ejpam-4832	138	12	|	|	ADV
ejpam-4832	138	13	x	x	SYM
ejpam-4832	138	14	∈	∈	NOUN
ejpam-4832	138	15	x	x	X
ejpam-4832	138	16	}	}	PUNCT
ejpam-4832	138	17	is	be	AUX
ejpam-4832	138	18	an	an	DET
ejpam-4832	138	19	intuitionistic	intuitionistic	ADJ
ejpam-4832	138	20	fuzzy	fuzzy	ADJ
ejpam-4832	138	21	subalgebra	subalgebra	NOUN
ejpam-4832	138	22	of	of	ADP
ejpam-4832	138	23	x	x	X
ejpam-4832	138	24	:	:	PUNCT
ejpam-4832	138	25	=	=	SYM
ejpam-4832	138	26	(	(	PUNCT
ejpam-4832	138	27	x	x	X
ejpam-4832	138	28	,	,	PUNCT
ejpam-4832	138	29	→	→	SYM
ejpam-4832	138	30	,	,	PUNCT
ejpam-4832	138	31	e	e	NOUN
ejpam-4832	138	32	,	,	PUNCT
ejpam-4832	138	33	≤x	≤x	PROPN
ejpam-4832	138	34	)	)	PUNCT
ejpam-4832	138	35	.	.	PUNCT
ejpam-4832	139	1	let	let	VERB
ejpam-4832	139	2	x	x	PRON
ejpam-4832	139	3	,	,	PUNCT
ejpam-4832	139	4	y	y	PROPN
ejpam-4832	139	5	∈	∈	PROPN
ejpam-4832	139	6	x	x	AUX
ejpam-4832	139	7	be	be	AUX
ejpam-4832	140	1	such	such	ADJ
ejpam-4832	140	2	that	that	DET
ejpam-4832	140	3	x(t1,s1	x(t1,s1	NOUN
ejpam-4832	140	4	)	)	PUNCT
ejpam-4832	140	5	∈	∈	PROPN
ejpam-4832	141	1	i	i	PRON
ejpam-4832	141	2	and	and	CCONJ
ejpam-4832	141	3	y(t2,s2	y(t2,s2	NOUN
ejpam-4832	141	4	)	)	PUNCT
ejpam-4832	141	5	∈	∈	PROPN
ejpam-4832	141	6	i	i	PRON
ejpam-4832	141	7	for	for	ADP
ejpam-4832	141	8	all	all	DET
ejpam-4832	141	9	(	(	PUNCT
ejpam-4832	141	10	ti	ti	NOUN
ejpam-4832	141	11	,	,	PUNCT
ejpam-4832	141	12	si	si	ADJ
ejpam-4832	141	13	)	)	PUNCT
ejpam-4832	141	14	∈	∈	PROPN
ejpam-4832	141	15	(	(	PUNCT
ejpam-4832	141	16	0	0	NUM
ejpam-4832	141	17	,	,	PUNCT
ejpam-4832	141	18	1]×[0	1]×[0	NUM
ejpam-4832	141	19	,	,	PUNCT
ejpam-4832	141	20	1	1	NUM
ejpam-4832	141	21	)	)	PUNCT
ejpam-4832	141	22	for	for	ADP
ejpam-4832	141	23	i	i	PRON
ejpam-4832	141	24	=	=	SYM
ejpam-4832	141	25	1	1	NUM
ejpam-4832	141	26	,	,	PUNCT
ejpam-4832	141	27	2	2	NUM
ejpam-4832	141	28	.	.	PUNCT
ejpam-4832	141	29	then	then	ADV
ejpam-4832	141	30	fi(x	fi(x	NUM
ejpam-4832	141	31	)	)	PUNCT
ejpam-4832	141	32	≥	≥	NOUN
ejpam-4832	141	33	t1	t1	NOUN
ejpam-4832	141	34	,	,	PUNCT
ejpam-4832	141	35	fi(y	fi(y	NOUN
ejpam-4832	141	36	)	)	PUNCT
ejpam-4832	141	37	≥	≥	NOUN
ejpam-4832	141	38	t2	t2	NOUN
ejpam-4832	141	39	,	,	PUNCT
ejpam-4832	141	40	gi(x	gi(x	NUM
ejpam-4832	141	41	)	)	PUNCT
ejpam-4832	141	42	≤	≤	NUM
ejpam-4832	141	43	s1	s1	NOUN
ejpam-4832	141	44	,	,	PUNCT
ejpam-4832	141	45	and	and	CCONJ
ejpam-4832	141	46	gi(y	gi(y	NOUN
ejpam-4832	141	47	)	)	PUNCT
ejpam-4832	141	48	≤	≤	NUM
ejpam-4832	141	49	s2	s2	NOUN
ejpam-4832	141	50	.	.	PUNCT
ejpam-4832	142	1	it	it	PRON
ejpam-4832	142	2	follows	follow	VERB
ejpam-4832	142	3	from	from	ADP
ejpam-4832	142	4	(	(	PUNCT
ejpam-4832	142	5	22	22	NUM
ejpam-4832	142	6	)	)	PUNCT
ejpam-4832	142	7	that	that	PRON
ejpam-4832	142	8	fi(x	fi(x	NUM
ejpam-4832	142	9	→	→	SYM
ejpam-4832	142	10	y	y	X
ejpam-4832	142	11	)	)	PUNCT
ejpam-4832	142	12	≥	≥	PROPN
ejpam-4832	142	13	min{fi(x	min{fi(x	PROPN
ejpam-4832	142	14	)	)	PUNCT
ejpam-4832	142	15	,	,	PUNCT
ejpam-4832	142	16	fi(y	fi(y	NOUN
ejpam-4832	142	17	)	)	PUNCT
ejpam-4832	142	18	}	}	PUNCT
ejpam-4832	142	19	≥	≥	VERB
ejpam-4832	142	20	min{t1	min{t1	NOUN
ejpam-4832	142	21	,	,	PUNCT
ejpam-4832	142	22	t2	t2	NOUN
ejpam-4832	142	23	}	}	PUNCT
ejpam-4832	142	24	and	and	CCONJ
ejpam-4832	142	25	gi(x	gi(x	NUM
ejpam-4832	142	26	→	→	SYM
ejpam-4832	142	27	y	y	X
ejpam-4832	142	28	)	)	PUNCT
ejpam-4832	142	29	≤	≤	NOUN
ejpam-4832	142	30	max{gi(x	max{gi(x	NOUN
ejpam-4832	142	31	)	)	PUNCT
ejpam-4832	142	32	,	,	PUNCT
ejpam-4832	142	33	gi(y	gi(y	NOUN
ejpam-4832	142	34	)	)	PUNCT
ejpam-4832	142	35	}	}	PUNCT
ejpam-4832	142	36	≤	≤	NUM
ejpam-4832	142	37	max{s1	max{s1	NOUN
ejpam-4832	142	38	,	,	PUNCT
ejpam-4832	142	39	s2	s2	PROPN
ejpam-4832	142	40	}	}	PUNCT
ejpam-4832	142	41	.	.	PUNCT
ejpam-4832	143	1	hence	hence	ADV
ejpam-4832	143	2	(	(	PUNCT
ejpam-4832	143	3	x	x	NOUN
ejpam-4832	143	4	→	→	SYM
ejpam-4832	143	5	y)(min{t1,t2},max{s1,s2	y)(min{t1,t2},max{s1,s2	PRON
ejpam-4832	143	6	}	}	PUNCT
ejpam-4832	143	7	)	)	PUNCT
ejpam-4832	144	1	∈	∈	PROPN
ejpam-4832	144	2	i.	i.	PROPN
ejpam-4832	144	3	e.	e.	PROPN
ejpam-4832	144	4	h.	h.	PROPN
ejpam-4832	144	5	roh	roh	PROPN
ejpam-4832	144	6	,	,	PUNCT
ejpam-4832	144	7	e.	e.	PROPN
ejpam-4832	144	8	yang	yang	PROPN
ejpam-4832	144	9	,	,	PUNCT
ejpam-4832	144	10	y.	y.	PROPN
ejpam-4832	144	11	b.	b.	PROPN
ejpam-4832	144	12	jun	jun	PROPN
ejpam-4832	144	13	/	/	SYM
ejpam-4832	144	14	eur	eur	PROPN
ejpam-4832	144	15	.	.	PUNCT
ejpam-4832	145	1	j.	j.	PROPN
ejpam-4832	145	2	pure	pure	PROPN
ejpam-4832	145	3	appl	appl	PROPN
ejpam-4832	145	4	.	.	PROPN
ejpam-4832	145	5	math	math	PROPN
ejpam-4832	145	6	,	,	PUNCT
ejpam-4832	145	7	16	16	NUM
ejpam-4832	145	8	(	(	PUNCT
ejpam-4832	145	9	3	3	NUM
ejpam-4832	145	10	)	)	PUNCT
ejpam-4832	145	11	(	(	PUNCT
ejpam-4832	145	12	2023	2023	NUM
ejpam-4832	145	13	)	)	PUNCT
ejpam-4832	145	14	,	,	PUNCT
ejpam-4832	145	15	1342	1342	NUM
ejpam-4832	145	16	-	-	SYM
ejpam-4832	145	17	1358	1358	NUM
ejpam-4832	145	18	1348	1348	NUM
ejpam-4832	145	19	conversely	conversely	ADV
ejpam-4832	145	20	,	,	PUNCT
ejpam-4832	145	21	suppose	suppose	VERB
ejpam-4832	145	22	that	that	SCONJ
ejpam-4832	145	23	i	i	PRON
ejpam-4832	145	24	:	:	PUNCT
ejpam-4832	145	25	=	=	X
ejpam-4832	145	26	{	{	PUNCT
ejpam-4832	145	27	⟨x	⟨x	VERB
ejpam-4832	145	28	,	,	PUNCT
ejpam-4832	145	29	fi	fi	NOUN
ejpam-4832	145	30	,	,	PUNCT
ejpam-4832	145	31	gi⟩	gi⟩	PROPN
ejpam-4832	145	32	|	|	ADV
ejpam-4832	145	33	x	x	SYM
ejpam-4832	145	34	∈	∈	NOUN
ejpam-4832	145	35	x	x	PRON
ejpam-4832	145	36	}	}	PUNCT
ejpam-4832	145	37	satisfies	satisfie	NOUN
ejpam-4832	145	38	(	(	PUNCT
ejpam-4832	145	39	24	24	NUM
ejpam-4832	145	40	)	)	PUNCT
ejpam-4832	145	41	for	for	ADP
ejpam-4832	145	42	all	all	DET
ejpam-4832	145	43	x	x	NOUN
ejpam-4832	145	44	,	,	PUNCT
ejpam-4832	145	45	y	y	PROPN
ejpam-4832	145	46	∈	∈	PROPN
ejpam-4832	145	47	x	x	X
ejpam-4832	145	48	and	and	CCONJ
ejpam-4832	145	49	(	(	PUNCT
ejpam-4832	145	50	ti	ti	NOUN
ejpam-4832	145	51	,	,	PUNCT
ejpam-4832	145	52	si	si	ADJ
ejpam-4832	145	53	)	)	PUNCT
ejpam-4832	145	54	∈	∈	PROPN
ejpam-4832	145	55	(	(	PUNCT
ejpam-4832	145	56	0	0	NUM
ejpam-4832	145	57	,	,	PUNCT
ejpam-4832	145	58	1	1	NUM
ejpam-4832	145	59	]	]	SYM
ejpam-4832	145	60	×	×	NOUN
ejpam-4832	146	1	[	[	X
ejpam-4832	146	2	0	0	NUM
ejpam-4832	146	3	,	,	PUNCT
ejpam-4832	146	4	1	1	NUM
ejpam-4832	146	5	)	)	PUNCT
ejpam-4832	146	6	for	for	ADP
ejpam-4832	146	7	i	i	PRON
ejpam-4832	146	8	=	=	SYM
ejpam-4832	146	9	1	1	NUM
ejpam-4832	146	10	,	,	PUNCT
ejpam-4832	146	11	2	2	NUM
ejpam-4832	146	12	.	.	PUNCT
ejpam-4832	147	1	then	then	ADV
ejpam-4832	147	2	fi(a	fi(a	ADP
ejpam-4832	147	3	→	→	SYM
ejpam-4832	147	4	b	b	X
ejpam-4832	147	5	)	)	PUNCT
ejpam-4832	147	6	<	<	X
ejpam-4832	147	7	min{fi(a	min{fi(a	PROPN
ejpam-4832	147	8	)	)	PUNCT
ejpam-4832	147	9	,	,	PUNCT
ejpam-4832	147	10	fi(b	fi(b	NUM
ejpam-4832	147	11	)	)	PUNCT
ejpam-4832	147	12	}	}	PUNCT
ejpam-4832	147	13	or	or	CCONJ
ejpam-4832	147	14	gi(a	gi(a	X
ejpam-4832	147	15	→	→	SYM
ejpam-4832	147	16	b	b	X
ejpam-4832	147	17	)	)	PUNCT
ejpam-4832	147	18	>	>	X
ejpam-4832	147	19	max{gi(a	max{gi(a	PROPN
ejpam-4832	147	20	)	)	PUNCT
ejpam-4832	147	21	,	,	PUNCT
ejpam-4832	147	22	gi(b	gi(b	PROPN
ejpam-4832	147	23	)	)	PUNCT
ejpam-4832	147	24	}	}	PUNCT
ejpam-4832	147	25	for	for	ADP
ejpam-4832	147	26	some	some	PRON
ejpam-4832	147	27	a	a	PRON
ejpam-4832	147	28	,	,	PUNCT
ejpam-4832	147	29	b	b	X
ejpam-4832	147	30	∈	∈	PROPN
ejpam-4832	147	31	x.	x.	NOUN
ejpam-4832	147	32	taking	take	VERB
ejpam-4832	147	33	t	t	NOUN
ejpam-4832	147	34	:	:	PUNCT
ejpam-4832	147	35	=	=	SYM
ejpam-4832	147	36	min{fi(a	min{fi(a	PROPN
ejpam-4832	147	37	)	)	PUNCT
ejpam-4832	147	38	,	,	PUNCT
ejpam-4832	147	39	fi(b	fi(b	NUM
ejpam-4832	147	40	)	)	PUNCT
ejpam-4832	147	41	}	}	PUNCT
ejpam-4832	147	42	and	and	CCONJ
ejpam-4832	147	43	s	s	VERB
ejpam-4832	147	44	:	:	PUNCT
ejpam-4832	147	45	=	=	SYM
ejpam-4832	147	46	max{gi(a	max{gi(a	PROPN
ejpam-4832	147	47	)	)	PUNCT
ejpam-4832	147	48	,	,	PUNCT
ejpam-4832	147	49	gi(b	gi(b	PROPN
ejpam-4832	147	50	)	)	PUNCT
ejpam-4832	147	51	}	}	PUNCT
ejpam-4832	147	52	induces	induce	VERB
ejpam-4832	147	53	a(t	a(t	NOUN
ejpam-4832	147	54	,	,	PUNCT
ejpam-4832	147	55	s	s	X
ejpam-4832	147	56	)	)	PUNCT
ejpam-4832	147	57	∈	∈	PROPN
ejpam-4832	147	58	i	i	PRON
ejpam-4832	147	59	,	,	PUNCT
ejpam-4832	147	60	and	and	CCONJ
ejpam-4832	147	61	b(t	b(t	PROPN
ejpam-4832	147	62	,	,	PUNCT
ejpam-4832	147	63	s	s	PART
ejpam-4832	147	64	)	)	PUNCT
ejpam-4832	147	65	∈	∈	PROPN
ejpam-4832	147	66	i.	i.	NOUN
ejpam-4832	147	67	it	it	PRON
ejpam-4832	147	68	follows	follow	VERB
ejpam-4832	147	69	from	from	ADP
ejpam-4832	147	70	(	(	PUNCT
ejpam-4832	147	71	24	24	NUM
ejpam-4832	147	72	)	)	PUNCT
ejpam-4832	147	73	that	that	SCONJ
ejpam-4832	147	74	(	(	PUNCT
ejpam-4832	147	75	a	a	PRON
ejpam-4832	147	76	→	→	SYM
ejpam-4832	147	77	b)(t	b)(t	ADJ
ejpam-4832	147	78	,	,	PUNCT
ejpam-4832	147	79	s	s	PART
ejpam-4832	147	80	)	)	PUNCT
ejpam-4832	147	81	=	=	SYM
ejpam-4832	147	82	(	(	PUNCT
ejpam-4832	147	83	a	a	DET
ejpam-4832	147	84	→	→	SYM
ejpam-4832	147	85	b)(min{t	b)(min{t	PROPN
ejpam-4832	147	86	,	,	PUNCT
ejpam-4832	147	87	t},max{s	t},max{	NOUN
ejpam-4832	147	88	,	,	PUNCT
ejpam-4832	147	89	s	s	NOUN
ejpam-4832	147	90	}	}	PUNCT
ejpam-4832	147	91	)	)	PUNCT
ejpam-4832	147	92	∈	∈	PROPN
ejpam-4832	147	93	i.	i.	NOUN
ejpam-4832	147	94	but	but	CCONJ
ejpam-4832	147	95	fi(a	fi(a	PROPN
ejpam-4832	147	96	→	→	SYM
ejpam-4832	147	97	b	b	X
ejpam-4832	147	98	)	)	PUNCT
ejpam-4832	147	99	<	<	X
ejpam-4832	147	100	t	t	PROPN
ejpam-4832	147	101	or	or	CCONJ
ejpam-4832	147	102	gi(a	gi(a	X
ejpam-4832	147	103	→	→	SYM
ejpam-4832	147	104	b	b	X
ejpam-4832	147	105	)	)	PUNCT
ejpam-4832	147	106	>	>	X
ejpam-4832	148	1	s	s	VERB
ejpam-4832	148	2	imply	imply	NOUN
ejpam-4832	148	3	that	that	SCONJ
ejpam-4832	148	4	(	(	PUNCT
ejpam-4832	148	5	a	a	DET
ejpam-4832	148	6	→	→	SYM
ejpam-4832	148	7	b)(t	b)(t	ADJ
ejpam-4832	148	8	,	,	PUNCT
ejpam-4832	148	9	s	s	PART
ejpam-4832	148	10	)	)	PUNCT
ejpam-4832	148	11	∈i	∈i	PROPN
ejpam-4832	148	12	,	,	PUNCT
ejpam-4832	148	13	a	a	DET
ejpam-4832	148	14	contradiction	contradiction	NOUN
ejpam-4832	148	15	.	.	PUNCT
ejpam-4832	149	1	therefore	therefore	ADV
ejpam-4832	149	2	i	i	PRON
ejpam-4832	149	3	:	:	PUNCT
ejpam-4832	149	4	=	=	X
ejpam-4832	149	5	{	{	PUNCT
ejpam-4832	149	6	⟨x	⟨x	VERB
ejpam-4832	149	7	,	,	PUNCT
ejpam-4832	149	8	fi	fi	NOUN
ejpam-4832	149	9	,	,	PUNCT
ejpam-4832	149	10	gi⟩	gi⟩	PROPN
ejpam-4832	149	11	|	|	ADV
ejpam-4832	149	12	x	x	SYM
ejpam-4832	149	13	∈	∈	NOUN
ejpam-4832	149	14	x	x	X
ejpam-4832	149	15	}	}	PUNCT
ejpam-4832	149	16	is	be	AUX
ejpam-4832	149	17	an	an	DET
ejpam-4832	149	18	intuitionistic	intuitionistic	ADJ
ejpam-4832	149	19	fuzzy	fuzzy	ADJ
ejpam-4832	149	20	subalgebra	subalgebra	NOUN
ejpam-4832	149	21	of	of	ADP
ejpam-4832	149	22	x	x	X
ejpam-4832	149	23	:	:	PUNCT
ejpam-4832	149	24	=	=	SYM
ejpam-4832	149	25	(	(	PUNCT
ejpam-4832	149	26	x	x	X
ejpam-4832	149	27	,	,	PUNCT
ejpam-4832	149	28	→	→	SYM
ejpam-4832	149	29	,	,	PUNCT
ejpam-4832	149	30	e	e	NOUN
ejpam-4832	149	31	,	,	PUNCT
ejpam-4832	149	32	≤x	≤x	PROPN
ejpam-4832	149	33	)	)	PUNCT
ejpam-4832	149	34	.	.	PUNCT
ejpam-4832	150	1	theorem	theorem	NOUN
ejpam-4832	150	2	3	3	NUM
ejpam-4832	150	3	.	.	PUNCT
ejpam-4832	150	4	an	an	DET
ejpam-4832	150	5	intuitionistic	intuitionistic	ADJ
ejpam-4832	150	6	fuzzy	fuzzy	ADJ
ejpam-4832	150	7	set	set	NOUN
ejpam-4832	150	8	i	i	PRON
ejpam-4832	150	9	:	:	PUNCT
ejpam-4832	150	10	=	=	X
ejpam-4832	150	11	{	{	PUNCT
ejpam-4832	150	12	⟨x	⟨x	VERB
ejpam-4832	150	13	,	,	PUNCT
ejpam-4832	150	14	fi	fi	NOUN
ejpam-4832	150	15	,	,	PUNCT
ejpam-4832	150	16	gi⟩	gi⟩	PROPN
ejpam-4832	150	17	|	|	ADV
ejpam-4832	150	18	x	x	X
ejpam-4832	150	19	∈	∈	NOUN
ejpam-4832	150	20	x	x	X
ejpam-4832	150	21	}	}	PUNCT
ejpam-4832	150	22	in	in	ADP
ejpam-4832	150	23	x	x	PRON
ejpam-4832	150	24	is	be	AUX
ejpam-4832	150	25	an	an	DET
ejpam-4832	150	26	intuitionistic	intuitionistic	ADJ
ejpam-4832	150	27	fuzzy	fuzzy	ADJ
ejpam-4832	150	28	ordered	order	VERB
ejpam-4832	150	29	subalgebra	subalgebra	NOUN
ejpam-4832	150	30	of	of	ADP
ejpam-4832	150	31	x	x	X
ejpam-4832	150	32	:	:	PUNCT
ejpam-4832	150	33	=	=	SYM
ejpam-4832	150	34	(	(	PUNCT
ejpam-4832	150	35	x	x	X
ejpam-4832	150	36	,	,	PUNCT
ejpam-4832	150	37	→	→	SYM
ejpam-4832	150	38	,	,	PUNCT
ejpam-4832	150	39	e	e	NOUN
ejpam-4832	150	40	,	,	PUNCT
ejpam-4832	150	41	≤x	≤x	PROPN
ejpam-4832	150	42	)	)	PUNCT
ejpam-4832	150	43	if	if	SCONJ
ejpam-4832	150	44	and	and	CCONJ
ejpam-4832	150	45	only	only	ADV
ejpam-4832	150	46	if	if	SCONJ
ejpam-4832	150	47	it	it	PRON
ejpam-4832	150	48	satisfies	satisfy	VERB
ejpam-4832	150	49	:	:	PUNCT
ejpam-4832	150	50	(	(	PUNCT
ejpam-4832	150	51	∀x	∀x	X
ejpam-4832	150	52	,	,	PUNCT
ejpam-4832	150	53	y	y	PROPN
ejpam-4832	150	54	∈	∈	PROPN
ejpam-4832	150	55	x	x	X
ejpam-4832	150	56	)	)	PUNCT
ejpam-4832	150	57			PROPN
ejpam-4832	150	58	e	e	SYM
ejpam-4832	150	59	≤x	≤x	PROPN
ejpam-4832	150	60	x	x	X
ejpam-4832	150	61	,	,	PUNCT
ejpam-4832	150	62	e	e	PROPN
ejpam-4832	150	63	≤x	≤x	PROPN
ejpam-4832	150	64	y	y	PROPN
ejpam-4832	150	65	⇒	⇒	PROPN
ejpam-4832	150	66	{	{	PUNCT
ejpam-4832	150	67	fi(x	fi(x	PROPN
ejpam-4832	150	68	→	→	SYM
ejpam-4832	150	69	y	y	X
ejpam-4832	150	70	)	)	PUNCT
ejpam-4832	150	71	≥	≥	PROPN
ejpam-4832	150	72	min{fi(x	min{fi(x	PROPN
ejpam-4832	150	73	)	)	PUNCT
ejpam-4832	150	74	,	,	PUNCT
ejpam-4832	150	75	fi(y	fi(y	NOUN
ejpam-4832	150	76	)	)	PUNCT
ejpam-4832	150	77	}	}	PUNCT
ejpam-4832	150	78	gi(x	gi(x	NUM
ejpam-4832	150	79	→	→	SYM
ejpam-4832	150	80	y	y	X
ejpam-4832	150	81	)	)	PUNCT
ejpam-4832	150	82	≤	≤	NOUN
ejpam-4832	150	83	max{gi(x	max{gi(x	NOUN
ejpam-4832	150	84	)	)	PUNCT
ejpam-4832	150	85	,	,	PUNCT
ejpam-4832	150	86	gi(y	gi(y	NOUN
ejpam-4832	150	87	)	)	PUNCT
ejpam-4832	150	88	}	}	PUNCT
ejpam-4832	150	89			PROPN
ejpam-4832	150	90	.	.	PUNCT
ejpam-4832	151	1	(	(	PUNCT
ejpam-4832	151	2	25	25	NUM
ejpam-4832	151	3	)	)	PUNCT
ejpam-4832	151	4	proof	proof	NOUN
ejpam-4832	151	5	.	.	PUNCT
ejpam-4832	152	1	assume	assume	VERB
ejpam-4832	152	2	that	that	SCONJ
ejpam-4832	152	3	i	i	PRON
ejpam-4832	152	4	:	:	PUNCT
ejpam-4832	152	5	=	=	X
ejpam-4832	152	6	{	{	PUNCT
ejpam-4832	152	7	⟨x	⟨x	VERB
ejpam-4832	152	8	,	,	PUNCT
ejpam-4832	152	9	fi	fi	NOUN
ejpam-4832	152	10	,	,	PUNCT
ejpam-4832	152	11	gi⟩	gi⟩	PROPN
ejpam-4832	152	12	|	|	ADV
ejpam-4832	152	13	x	x	SYM
ejpam-4832	152	14	∈	∈	NOUN
ejpam-4832	152	15	x	x	X
ejpam-4832	152	16	}	}	PUNCT
ejpam-4832	152	17	is	be	AUX
ejpam-4832	152	18	an	an	DET
ejpam-4832	152	19	intuitionistic	intuitionistic	ADJ
ejpam-4832	152	20	fuzzy	fuzzy	ADJ
ejpam-4832	152	21	ordered	order	VERB
ejpam-4832	152	22	subalgebra	subalgebra	NOUN
ejpam-4832	152	23	of	of	ADP
ejpam-4832	152	24	x	x	X
ejpam-4832	152	25	:	:	PUNCT
ejpam-4832	152	26	=	=	SYM
ejpam-4832	152	27	(	(	PUNCT
ejpam-4832	152	28	x	x	X
ejpam-4832	152	29	,	,	PUNCT
ejpam-4832	152	30	→	→	SYM
ejpam-4832	152	31	,	,	PUNCT
ejpam-4832	152	32	e	e	NOUN
ejpam-4832	152	33	,	,	PUNCT
ejpam-4832	152	34	≤x	≤x	PROPN
ejpam-4832	152	35	)	)	PUNCT
ejpam-4832	152	36	.	.	PUNCT
ejpam-4832	153	1	if	if	SCONJ
ejpam-4832	153	2	the	the	DET
ejpam-4832	153	3	assertion	assertion	NOUN
ejpam-4832	153	4	(	(	PUNCT
ejpam-4832	153	5	25	25	NUM
ejpam-4832	153	6	)	)	PUNCT
ejpam-4832	153	7	is	be	AUX
ejpam-4832	153	8	not	not	PART
ejpam-4832	153	9	valid	valid	ADJ
ejpam-4832	153	10	,	,	PUNCT
ejpam-4832	153	11	then	then	ADV
ejpam-4832	153	12	fi(a	fi(a	ADP
ejpam-4832	153	13	→	→	SYM
ejpam-4832	153	14	b	b	X
ejpam-4832	153	15	)	)	PUNCT
ejpam-4832	153	16	<	<	X
ejpam-4832	153	17	t	t	X
ejpam-4832	153	18	<	<	X
ejpam-4832	153	19	min{fi(a	min{fi(a	PROPN
ejpam-4832	153	20	)	)	PUNCT
ejpam-4832	153	21	,	,	PUNCT
ejpam-4832	153	22	fi(b	fi(b	NUM
ejpam-4832	153	23	)	)	PUNCT
ejpam-4832	153	24	}	}	PUNCT
ejpam-4832	153	25	or	or	CCONJ
ejpam-4832	153	26	gi(a	gi(a	X
ejpam-4832	153	27	→	→	SYM
ejpam-4832	153	28	b	b	X
ejpam-4832	153	29	)	)	PUNCT
ejpam-4832	153	30	>	>	X
ejpam-4832	153	31	s	s	X
ejpam-4832	153	32	>	>	X
ejpam-4832	153	33	max{gi(a	max{gi(a	PROPN
ejpam-4832	153	34	)	)	PUNCT
ejpam-4832	153	35	,	,	PUNCT
ejpam-4832	153	36	gi(b	gi(b	PROPN
ejpam-4832	153	37	)	)	PUNCT
ejpam-4832	153	38	}	}	PUNCT
ejpam-4832	153	39	for	for	ADP
ejpam-4832	153	40	some	some	PRON
ejpam-4832	153	41	(	(	PUNCT
ejpam-4832	153	42	t	t	PROPN
ejpam-4832	153	43	,	,	PUNCT
ejpam-4832	153	44	s	s	X
ejpam-4832	153	45	)	)	PUNCT
ejpam-4832	153	46	∈	∈	PROPN
ejpam-4832	153	47	(	(	PUNCT
ejpam-4832	153	48	0	0	NUM
ejpam-4832	153	49	,	,	PUNCT
ejpam-4832	153	50	1)×(0	1)×(0	NUM
ejpam-4832	153	51	,	,	PUNCT
ejpam-4832	153	52	1	1	NUM
ejpam-4832	153	53	)	)	PUNCT
ejpam-4832	153	54	and	and	CCONJ
ejpam-4832	153	55	a	a	DET
ejpam-4832	153	56	,	,	PUNCT
ejpam-4832	153	57	b	b	X
ejpam-4832	153	58	∈	∈	PROPN
ejpam-4832	153	59	x	x	PUNCT
ejpam-4832	153	60	with	with	ADP
ejpam-4832	153	61	e	e	X
ejpam-4832	153	62	≤x	≤x	PROPN
ejpam-4832	153	63	a	a	PRON
ejpam-4832	153	64	,	,	PUNCT
ejpam-4832	153	65	e	e	PROPN
ejpam-4832	153	66	≤x	≤x	PROPN
ejpam-4832	153	67	b.	b.	PROPN
ejpam-4832	153	68	then	then	ADV
ejpam-4832	153	69	t	t	PROPN
ejpam-4832	153	70	+	+	CCONJ
ejpam-4832	153	71	s	s	PART
ejpam-4832	153	72	≤	≤	NUM
ejpam-4832	153	73	1	1	NUM
ejpam-4832	153	74	,	,	PUNCT
ejpam-4832	153	75	at	at	ADP
ejpam-4832	153	76	≤	≤	NUM
ejpam-4832	153	77	fi	fi	NOUN
ejpam-4832	153	78	,	,	PUNCT
ejpam-4832	153	79	bt	bt	ADJ
ejpam-4832	153	80	≤	≤	ADJ
ejpam-4832	153	81	fi	fi	NOUN
ejpam-4832	153	82	,	,	PUNCT
ejpam-4832	153	83	¬a1−s	¬a1−s	ADJ
ejpam-4832	153	84	≥	≥	NOUN
ejpam-4832	153	85	gi	gi	X
ejpam-4832	153	86	,	,	PUNCT
ejpam-4832	153	87	and	and	CCONJ
ejpam-4832	153	88	¬b1−s	¬b1−	VERB
ejpam-4832	153	89	≥	≥	NOUN
ejpam-4832	153	90	gi	gi	NOUN
ejpam-4832	153	91	.	.	PUNCT
ejpam-4832	154	1	hence	hence	ADV
ejpam-4832	154	2	a(t	a(t	VERB
ejpam-4832	154	3	,	,	PUNCT
ejpam-4832	154	4	s	s	X
ejpam-4832	154	5	)	)	PUNCT
ejpam-4832	154	6	∈	∈	PROPN
ejpam-4832	155	1	i	i	PROPN
ejpam-4832	155	2	and	and	CCONJ
ejpam-4832	155	3	b(t	b(t	PROPN
ejpam-4832	155	4	,	,	PUNCT
ejpam-4832	155	5	s	s	PART
ejpam-4832	155	6	)	)	PUNCT
ejpam-4832	155	7	∈	∈	PROPN
ejpam-4832	155	8	i.	i.	NOUN
ejpam-4832	155	9	it	it	PRON
ejpam-4832	155	10	follows	follow	VERB
ejpam-4832	155	11	from	from	ADP
ejpam-4832	155	12	(	(	PUNCT
ejpam-4832	155	13	23	23	NUM
ejpam-4832	155	14	)	)	PUNCT
ejpam-4832	156	1	that	that	SCONJ
ejpam-4832	156	2	(	(	PUNCT
ejpam-4832	156	3	a	a	PRON
ejpam-4832	156	4	→	→	SYM
ejpam-4832	156	5	b)(t	b)(t	ADJ
ejpam-4832	156	6	,	,	PUNCT
ejpam-4832	156	7	s	s	PART
ejpam-4832	156	8	)	)	PUNCT
ejpam-4832	156	9	=	=	SYM
ejpam-4832	156	10	(	(	PUNCT
ejpam-4832	156	11	a	a	PRON
ejpam-4832	156	12	→	→	SYM
ejpam-4832	156	13	b)(min{t	b)(min{t	PROPN
ejpam-4832	156	14	,	,	PUNCT
ejpam-4832	156	15	t},max{s	t},max{	NOUN
ejpam-4832	156	16	,	,	PUNCT
ejpam-4832	156	17	s	s	NOUN
ejpam-4832	156	18	}	}	PUNCT
ejpam-4832	156	19	)	)	PUNCT
ejpam-4832	156	20	∈	∈	PROPN
ejpam-4832	156	21	i.	i.	NOUN
ejpam-4832	156	22	thus	thus	ADV
ejpam-4832	156	23	(	(	PUNCT
ejpam-4832	156	24	a	a	DET
ejpam-4832	156	25	→	→	NOUN
ejpam-4832	156	26	b)t	b)t	NOUN
ejpam-4832	156	27	≤	≤	NOUN
ejpam-4832	156	28	fi	fi	NOUN
ejpam-4832	156	29	and	and	CCONJ
ejpam-4832	156	30	¬(a	¬(a	NUM
ejpam-4832	156	31	→	→	SYM
ejpam-4832	156	32	b)s	b)s	X
ejpam-4832	156	33	≥	≥	NUM
ejpam-4832	156	34	gi	gi	INTJ
ejpam-4832	156	35	,	,	PUNCT
ejpam-4832	156	36	that	that	ADV
ejpam-4832	156	37	is	is	ADV
ejpam-4832	156	38	,	,	PUNCT
ejpam-4832	156	39	fi(a	fi(a	ADP
ejpam-4832	156	40	→	→	SYM
ejpam-4832	156	41	b	b	X
ejpam-4832	156	42	)	)	PUNCT
ejpam-4832	156	43	≥	≥	NOUN
ejpam-4832	156	44	t	t	PROPN
ejpam-4832	156	45	and	and	CCONJ
ejpam-4832	156	46	gi(a	gi(a	X
ejpam-4832	156	47	→	→	SYM
ejpam-4832	156	48	b	b	X
ejpam-4832	156	49	)	)	PUNCT
ejpam-4832	156	50	≤	≤	NOUN
ejpam-4832	156	51	s.	s.	PROPN
ejpam-4832	156	52	this	this	PRON
ejpam-4832	156	53	is	be	AUX
ejpam-4832	156	54	a	a	DET
ejpam-4832	156	55	contradiction	contradiction	NOUN
ejpam-4832	156	56	,	,	PUNCT
ejpam-4832	156	57	and	and	CCONJ
ejpam-4832	156	58	so	so	ADV
ejpam-4832	156	59	(	(	PUNCT
ejpam-4832	156	60	25	25	NUM
ejpam-4832	156	61	)	)	PUNCT
ejpam-4832	156	62	is	be	AUX
ejpam-4832	156	63	valid	valid	ADJ
ejpam-4832	156	64	.	.	PUNCT
ejpam-4832	157	1	conversely	conversely	ADV
ejpam-4832	157	2	,	,	PUNCT
ejpam-4832	157	3	suppose	suppose	VERB
ejpam-4832	157	4	that	that	SCONJ
ejpam-4832	157	5	i	i	PRON
ejpam-4832	157	6	:	:	PUNCT
ejpam-4832	157	7	=	=	X
ejpam-4832	157	8	{	{	PUNCT
ejpam-4832	157	9	⟨x	⟨x	VERB
ejpam-4832	157	10	,	,	PUNCT
ejpam-4832	157	11	fi	fi	NOUN
ejpam-4832	157	12	,	,	PUNCT
ejpam-4832	157	13	gi⟩	gi⟩	PROPN
ejpam-4832	157	14	|	|	ADV
ejpam-4832	157	15	x	x	SYM
ejpam-4832	157	16	∈	∈	NOUN
ejpam-4832	157	17	x	x	PRON
ejpam-4832	157	18	}	}	PUNCT
ejpam-4832	157	19	satisfies	satisfie	NOUN
ejpam-4832	157	20	(	(	PUNCT
ejpam-4832	157	21	25	25	NUM
ejpam-4832	157	22	)	)	PUNCT
ejpam-4832	157	23	.	.	PUNCT
ejpam-4832	158	1	let	let	VERB
ejpam-4832	158	2	x	x	PRON
ejpam-4832	158	3	,	,	PUNCT
ejpam-4832	158	4	y	y	PROPN
ejpam-4832	158	5	∈	∈	PROPN
ejpam-4832	158	6	x	x	AUX
ejpam-4832	158	7	be	be	AUX
ejpam-4832	158	8	such	such	ADJ
ejpam-4832	158	9	that	that	SCONJ
ejpam-4832	158	10	e	e	PROPN
ejpam-4832	158	11	≤x	≤x	PROPN
ejpam-4832	158	12	x	x	X
ejpam-4832	158	13	,	,	PUNCT
ejpam-4832	158	14	e	e	PROPN
ejpam-4832	158	15	≤x	≤x	PROPN
ejpam-4832	158	16	y	y	PROPN
ejpam-4832	158	17	,	,	PUNCT
ejpam-4832	158	18	x(t1,s1	x(t1,s1	NOUN
ejpam-4832	158	19	)	)	PUNCT
ejpam-4832	158	20	∈	∈	PROPN
ejpam-4832	159	1	i	i	PRON
ejpam-4832	159	2	and	and	CCONJ
ejpam-4832	159	3	y(t2,s2	y(t2,s2	NOUN
ejpam-4832	159	4	)	)	PUNCT
ejpam-4832	159	5	∈	∈	PROPN
ejpam-4832	159	6	i	i	PRON
ejpam-4832	159	7	for	for	ADP
ejpam-4832	159	8	every	every	DET
ejpam-4832	159	9	(	(	PUNCT
ejpam-4832	159	10	t1	t1	NOUN
ejpam-4832	159	11	,	,	PUNCT
ejpam-4832	159	12	s1	s1	NOUN
ejpam-4832	159	13	)	)	PUNCT
ejpam-4832	159	14	,	,	PUNCT
ejpam-4832	159	15	(	(	PUNCT
ejpam-4832	159	16	t2	t2	NOUN
ejpam-4832	159	17	,	,	PUNCT
ejpam-4832	159	18	s2	s2	PROPN
ejpam-4832	159	19	)	)	PUNCT
ejpam-4832	159	20	∈	∈	PROPN
ejpam-4832	159	21	(	(	PUNCT
ejpam-4832	159	22	0	0	NUM
ejpam-4832	159	23	,	,	PUNCT
ejpam-4832	159	24	1]×	1]×	NUM
ejpam-4832	160	1	[	[	X
ejpam-4832	160	2	0	0	NUM
ejpam-4832	160	3	,	,	PUNCT
ejpam-4832	160	4	1	1	NUM
ejpam-4832	160	5	)	)	PUNCT
ejpam-4832	160	6	.	.	PUNCT
ejpam-4832	161	1	then	then	ADV
ejpam-4832	161	2	fi(x	fi(x	NUM
ejpam-4832	161	3	)	)	PUNCT
ejpam-4832	161	4	≥	≥	NOUN
ejpam-4832	161	5	t1	t1	NOUN
ejpam-4832	161	6	,	,	PUNCT
ejpam-4832	161	7	gi(x	gi(x	PROPN
ejpam-4832	161	8	)	)	PUNCT
ejpam-4832	161	9	≤	≤	NOUN
ejpam-4832	161	10	s1	s1	NOUN
ejpam-4832	161	11	,	,	PUNCT
ejpam-4832	161	12	fi(y	fi(y	NOUN
ejpam-4832	161	13	)	)	PUNCT
ejpam-4832	161	14	≥	≥	NOUN
ejpam-4832	161	15	t2	t2	NOUN
ejpam-4832	161	16	,	,	PUNCT
ejpam-4832	161	17	and	and	CCONJ
ejpam-4832	161	18	gi(y	gi(y	NUM
ejpam-4832	161	19	)	)	PUNCT
ejpam-4832	161	20	≤	≤	NUM
ejpam-4832	161	21	s2	s2	NOUN
ejpam-4832	161	22	.	.	PUNCT
ejpam-4832	162	1	it	it	PRON
ejpam-4832	162	2	follows	follow	VERB
ejpam-4832	162	3	from	from	ADP
ejpam-4832	162	4	(	(	PUNCT
ejpam-4832	162	5	25	25	NUM
ejpam-4832	162	6	)	)	PUNCT
ejpam-4832	162	7	that	that	SCONJ
ejpam-4832	162	8	fi(x	fi(x	NUM
ejpam-4832	162	9	→	→	SYM
ejpam-4832	162	10	y	y	X
ejpam-4832	162	11	)	)	PUNCT
ejpam-4832	162	12	≥	≥	PROPN
ejpam-4832	162	13	min{fi(x	min{fi(x	PROPN
ejpam-4832	162	14	)	)	PUNCT
ejpam-4832	162	15	,	,	PUNCT
ejpam-4832	162	16	fi(y	fi(y	NOUN
ejpam-4832	162	17	)	)	PUNCT
ejpam-4832	162	18	}	}	PUNCT
ejpam-4832	162	19	≥	≥	VERB
ejpam-4832	162	20	min{t1	min{t1	NOUN
ejpam-4832	162	21	,	,	PUNCT
ejpam-4832	162	22	t2	t2	NOUN
ejpam-4832	162	23	}	}	PUNCT
ejpam-4832	162	24	and	and	CCONJ
ejpam-4832	162	25	gi(x	gi(x	NUM
ejpam-4832	162	26	→	→	SYM
ejpam-4832	162	27	y	y	X
ejpam-4832	162	28	)	)	PUNCT
ejpam-4832	162	29	≤	≤	NOUN
ejpam-4832	162	30	max{gi(x	max{gi(x	NOUN
ejpam-4832	162	31	)	)	PUNCT
ejpam-4832	162	32	,	,	PUNCT
ejpam-4832	162	33	gi(y	gi(y	NOUN
ejpam-4832	162	34	)	)	PUNCT
ejpam-4832	162	35	}	}	PUNCT
ejpam-4832	162	36	≤	≤	NUM
ejpam-4832	162	37	max{s1	max{s1	NOUN
ejpam-4832	162	38	,	,	PUNCT
ejpam-4832	162	39	s2	s2	PROPN
ejpam-4832	162	40	}	}	PUNCT
ejpam-4832	162	41	.	.	PUNCT
ejpam-4832	163	1	hence	hence	ADV
ejpam-4832	163	2	(	(	PUNCT
ejpam-4832	163	3	x	x	NOUN
ejpam-4832	163	4	→	→	SYM
ejpam-4832	163	5	y)(min{t1,t2},max{s1,s2	y)(min{t1,t2},max{s1,s2	PRON
ejpam-4832	163	6	}	}	PUNCT
ejpam-4832	163	7	)	)	PUNCT
ejpam-4832	164	1	∈	∈	PROPN
ejpam-4832	164	2	i.	i.	NOUN
ejpam-4832	164	3	therefore	therefore	ADV
ejpam-4832	164	4	i	i	PRON
ejpam-4832	164	5	:	:	PUNCT
ejpam-4832	164	6	=	=	X
ejpam-4832	164	7	{	{	PUNCT
ejpam-4832	164	8	⟨x	⟨x	VERB
ejpam-4832	164	9	,	,	PUNCT
ejpam-4832	164	10	fi	fi	NOUN
ejpam-4832	164	11	,	,	PUNCT
ejpam-4832	164	12	gi⟩	gi⟩	PROPN
ejpam-4832	164	13	|	|	ADV
ejpam-4832	164	14	x	x	SYM
ejpam-4832	164	15	∈	∈	NOUN
ejpam-4832	164	16	x	x	X
ejpam-4832	164	17	}	}	PUNCT
ejpam-4832	164	18	is	be	AUX
ejpam-4832	164	19	an	an	DET
ejpam-4832	164	20	intuitionistic	intuitionistic	ADJ
ejpam-4832	164	21	fuzzy	fuzzy	ADJ
ejpam-4832	164	22	ordered	order	VERB
ejpam-4832	164	23	subalgebra	subalgebra	NOUN
ejpam-4832	164	24	of	of	ADP
ejpam-4832	164	25	x	x	X
ejpam-4832	164	26	:	:	PUNCT
ejpam-4832	164	27	=	=	SYM
ejpam-4832	164	28	(	(	PUNCT
ejpam-4832	164	29	x	x	X
ejpam-4832	164	30	,	,	PUNCT
ejpam-4832	164	31	→	→	SYM
ejpam-4832	164	32	,	,	PUNCT
ejpam-4832	164	33	e	e	NOUN
ejpam-4832	164	34	,	,	PUNCT
ejpam-4832	164	35	≤x	≤x	PROPN
ejpam-4832	164	36	)	)	PUNCT
ejpam-4832	164	37	.	.	PUNCT
ejpam-4832	165	1	lemma	lemma	PROPN
ejpam-4832	165	2	1	1	NUM
ejpam-4832	165	3	.	.	PUNCT
ejpam-4832	166	1	an	an	DET
ejpam-4832	166	2	intuitionistic	intuitionistic	ADJ
ejpam-4832	166	3	fuzzy	fuzzy	ADJ
ejpam-4832	166	4	set	set	NOUN
ejpam-4832	166	5	i	i	PRON
ejpam-4832	166	6	:	:	PUNCT
ejpam-4832	166	7	=	=	X
ejpam-4832	166	8	{	{	PUNCT
ejpam-4832	166	9	⟨x	⟨x	VERB
ejpam-4832	166	10	,	,	PUNCT
ejpam-4832	166	11	fi	fi	NOUN
ejpam-4832	166	12	,	,	PUNCT
ejpam-4832	166	13	gi⟩	gi⟩	PROPN
ejpam-4832	166	14	|	|	ADV
ejpam-4832	166	15	x	x	X
ejpam-4832	166	16	∈	∈	NOUN
ejpam-4832	166	17	x	x	X
ejpam-4832	166	18	}	}	PUNCT
ejpam-4832	166	19	in	in	ADP
ejpam-4832	166	20	x	x	PRON
ejpam-4832	166	21	is	be	AUX
ejpam-4832	166	22	an	an	DET
ejpam-4832	166	23	intuitionistic	intuitionistic	ADJ
ejpam-4832	166	24	fuzzy	fuzzy	ADJ
ejpam-4832	166	25	ordered	order	VERB
ejpam-4832	166	26	subalgebra	subalgebra	NOUN
ejpam-4832	166	27	of	of	ADP
ejpam-4832	166	28	x	x	X
ejpam-4832	166	29	:	:	PUNCT
ejpam-4832	166	30	=	=	SYM
ejpam-4832	166	31	(	(	PUNCT
ejpam-4832	166	32	x	x	X
ejpam-4832	166	33	,	,	PUNCT
ejpam-4832	166	34	→	→	SYM
ejpam-4832	166	35	,	,	PUNCT
ejpam-4832	166	36	e	e	NOUN
ejpam-4832	166	37	,	,	PUNCT
ejpam-4832	166	38	≤x	≤x	PROPN
ejpam-4832	166	39	)	)	PUNCT
ejpam-4832	166	40	if	if	SCONJ
ejpam-4832	166	41	and	and	CCONJ
ejpam-4832	166	42	only	only	ADV
ejpam-4832	166	43	if	if	SCONJ
ejpam-4832	166	44	fi	fi	NOUN
ejpam-4832	166	45	and	and	CCONJ
ejpam-4832	166	46	gci	gci	PROPN
ejpam-4832	166	47	are	be	AUX
ejpam-4832	166	48	fuzzy	fuzzy	ADJ
ejpam-4832	166	49	ordered	order	VERB
ejpam-4832	166	50	subalgebras	subalgebra	NOUN
ejpam-4832	166	51	of	of	ADP
ejpam-4832	166	52	x	x	X
ejpam-4832	166	53	:	:	PUNCT
ejpam-4832	166	54	=	=	SYM
ejpam-4832	166	55	(	(	PUNCT
ejpam-4832	166	56	x	x	X
ejpam-4832	166	57	,	,	PUNCT
ejpam-4832	166	58	→	→	SYM
ejpam-4832	166	59	,	,	PUNCT
ejpam-4832	166	60	e	e	NOUN
ejpam-4832	166	61	,	,	PUNCT
ejpam-4832	166	62	≤x	≤x	PROPN
ejpam-4832	166	63	)	)	PUNCT
ejpam-4832	166	64	,	,	PUNCT
ejpam-4832	166	65	where	where	SCONJ
ejpam-4832	166	66	gci	gci	PROPN
ejpam-4832	166	67	is	be	AUX
ejpam-4832	166	68	defined	define	VERB
ejpam-4832	166	69	by	by	ADP
ejpam-4832	166	70	gci(x	gci(x	PROPN
ejpam-4832	166	71	)	)	PUNCT
ejpam-4832	166	72	=	=	SYM
ejpam-4832	166	73	1−gi(x	1−gi(x	NUM
ejpam-4832	166	74	)	)	PUNCT
ejpam-4832	166	75	for	for	ADP
ejpam-4832	166	76	all	all	DET
ejpam-4832	166	77	x	x	SYM
ejpam-4832	166	78	∈	∈	ADJ
ejpam-4832	166	79	x.	x.	NOUN
ejpam-4832	166	80	proof	proof	NOUN
ejpam-4832	166	81	.	.	PUNCT
ejpam-4832	167	1	let	let	VERB
ejpam-4832	167	2	i	i	PRON
ejpam-4832	167	3	:	:	PUNCT
ejpam-4832	167	4	=	=	X
ejpam-4832	167	5	{	{	PUNCT
ejpam-4832	167	6	⟨x	⟨x	VERB
ejpam-4832	167	7	,	,	PUNCT
ejpam-4832	167	8	fi	fi	NOUN
ejpam-4832	167	9	,	,	PUNCT
ejpam-4832	167	10	gi⟩	gi⟩	PROPN
ejpam-4832	167	11	|	|	ADV
ejpam-4832	167	12	x	x	SYM
ejpam-4832	167	13	∈	∈	PROPN
ejpam-4832	167	14	x	x	VERB
ejpam-4832	167	15	}	}	PUNCT
ejpam-4832	167	16	be	be	AUX
ejpam-4832	167	17	an	an	DET
ejpam-4832	167	18	intuitionistic	intuitionistic	ADJ
ejpam-4832	167	19	fuzzy	fuzzy	ADJ
ejpam-4832	167	20	ordered	order	VERB
ejpam-4832	167	21	subalgebra	subalgebra	NOUN
ejpam-4832	167	22	of	of	ADP
ejpam-4832	167	23	x	x	X
ejpam-4832	167	24	:	:	PUNCT
ejpam-4832	167	25	=	=	SYM
ejpam-4832	167	26	(	(	PUNCT
ejpam-4832	167	27	x	x	X
ejpam-4832	167	28	,	,	PUNCT
ejpam-4832	167	29	→	→	SYM
ejpam-4832	167	30	,	,	PUNCT
ejpam-4832	167	31	e	e	NOUN
ejpam-4832	167	32	,	,	PUNCT
ejpam-4832	167	33	≤x	≤x	PROPN
ejpam-4832	167	34	)	)	PUNCT
ejpam-4832	167	35	.	.	PUNCT
ejpam-4832	168	1	obviously	obviously	ADV
ejpam-4832	168	2	,	,	PUNCT
ejpam-4832	168	3	fi	fi	NOUN
ejpam-4832	168	4	is	be	AUX
ejpam-4832	168	5	a	a	DET
ejpam-4832	168	6	fuzzy	fuzzy	ADJ
ejpam-4832	168	7	ordered	order	VERB
ejpam-4832	168	8	subalgebra	subalgebra	NOUN
ejpam-4832	168	9	of	of	ADP
ejpam-4832	168	10	x	x	X
ejpam-4832	168	11	:	:	PUNCT
ejpam-4832	168	12	=	=	SYM
ejpam-4832	168	13	(	(	PUNCT
ejpam-4832	168	14	x	x	X
ejpam-4832	168	15	,	,	PUNCT
ejpam-4832	168	16	→	→	SYM
ejpam-4832	168	17	,	,	PUNCT
ejpam-4832	168	18	e	e	NOUN
ejpam-4832	168	19	,	,	PUNCT
ejpam-4832	168	20	≤x	≤x	PROPN
ejpam-4832	168	21	)	)	PUNCT
ejpam-4832	168	22	by	by	ADP
ejpam-4832	168	23	theorem	theorem	NOUN
ejpam-4832	168	24	3	3	X
ejpam-4832	168	25	.	.	PUNCT
ejpam-4832	169	1	let	let	VERB
ejpam-4832	169	2	x	x	PRON
ejpam-4832	169	3	,	,	PUNCT
ejpam-4832	169	4	y	y	PROPN
ejpam-4832	169	5	∈	∈	PROPN
ejpam-4832	169	6	x	x	AUX
ejpam-4832	169	7	be	be	AUX
ejpam-4832	169	8	such	such	ADJ
ejpam-4832	169	9	that	that	SCONJ
ejpam-4832	169	10	e	e	NOUN
ejpam-4832	169	11	≤x	≤x	NOUN
ejpam-4832	169	12	x	x	PUNCT
ejpam-4832	169	13	and	and	CCONJ
ejpam-4832	169	14	e	e	AUX
ejpam-4832	169	15	≤x	≤x	AUX
ejpam-4832	169	16	y.	y.	NOUN
ejpam-4832	169	17	using	use	VERB
ejpam-4832	169	18	theorem	theorem	NOUN
ejpam-4832	169	19	3	3	NUM
ejpam-4832	169	20	induces	induce	VERB
ejpam-4832	169	21	gci(x	gci(x	PROPN
ejpam-4832	169	22	→	→	SYM
ejpam-4832	169	23	y	y	NOUN
ejpam-4832	169	24	)	)	PUNCT
ejpam-4832	169	25	=	=	SYM
ejpam-4832	170	1	1−	1−	NUM
ejpam-4832	170	2	gi(x	gi(x	NOUN
ejpam-4832	170	3	→	→	SYM
ejpam-4832	170	4	y	y	X
ejpam-4832	170	5	)	)	PUNCT
ejpam-4832	170	6	≥	≥	NOUN
ejpam-4832	170	7	1−max{gi(x	1−max{gi(x	NUM
ejpam-4832	170	8	)	)	PUNCT
ejpam-4832	170	9	,	,	PUNCT
ejpam-4832	170	10	gi(y	gi(y	NOUN
ejpam-4832	170	11	)	)	PUNCT
ejpam-4832	170	12	}	}	PUNCT
ejpam-4832	171	1	=	=	PUNCT
ejpam-4832	171	2	min{1−	min{1−	X
ejpam-4832	171	3	gi(x	gi(x	NOUN
ejpam-4832	171	4	)	)	PUNCT
ejpam-4832	171	5	,	,	PUNCT
ejpam-4832	171	6	1−	1−	NUM
ejpam-4832	171	7	gi(y	gi(y	NOUN
ejpam-4832	171	8	)	)	PUNCT
ejpam-4832	171	9	}	}	PUNCT
ejpam-4832	171	10	=	=	SYM
ejpam-4832	171	11	min{gci(x	min{gci(x	PROPN
ejpam-4832	171	12	)	)	PUNCT
ejpam-4832	171	13	,	,	PUNCT
ejpam-4832	171	14	gci(y	gci(y	PROPN
ejpam-4832	171	15	)	)	PUNCT
ejpam-4832	171	16	}	}	PUNCT
ejpam-4832	171	17	.	.	PUNCT
ejpam-4832	172	1	e.	e.	PROPN
ejpam-4832	172	2	h.	h.	PROPN
ejpam-4832	172	3	roh	roh	PROPN
ejpam-4832	172	4	,	,	PUNCT
ejpam-4832	172	5	e.	e.	PROPN
ejpam-4832	172	6	yang	yang	PROPN
ejpam-4832	172	7	,	,	PUNCT
ejpam-4832	172	8	y.	y.	PROPN
ejpam-4832	172	9	b.	b.	PROPN
ejpam-4832	172	10	jun	jun	PROPN
ejpam-4832	172	11	/	/	SYM
ejpam-4832	172	12	eur	eur	PROPN
ejpam-4832	172	13	.	.	PUNCT
ejpam-4832	173	1	j.	j.	PROPN
ejpam-4832	173	2	pure	pure	PROPN
ejpam-4832	173	3	appl	appl	PROPN
ejpam-4832	173	4	.	.	PROPN
ejpam-4832	173	5	math	math	PROPN
ejpam-4832	173	6	,	,	PUNCT
ejpam-4832	173	7	16	16	NUM
ejpam-4832	173	8	(	(	PUNCT
ejpam-4832	173	9	3	3	NUM
ejpam-4832	173	10	)	)	PUNCT
ejpam-4832	173	11	(	(	PUNCT
ejpam-4832	173	12	2023	2023	NUM
ejpam-4832	173	13	)	)	PUNCT
ejpam-4832	173	14	,	,	PUNCT
ejpam-4832	173	15	1342	1342	NUM
ejpam-4832	173	16	-	-	SYM
ejpam-4832	173	17	1358	1358	NUM
ejpam-4832	173	18	1349	1349	NUM
ejpam-4832	173	19	hence	hence	ADV
ejpam-4832	173	20	gci	gci	PROPN
ejpam-4832	173	21	is	be	AUX
ejpam-4832	173	22	a	a	DET
ejpam-4832	173	23	fuzzy	fuzzy	ADJ
ejpam-4832	173	24	ordered	order	VERB
ejpam-4832	173	25	subalgebra	subalgebra	NOUN
ejpam-4832	173	26	of	of	ADP
ejpam-4832	173	27	x	x	X
ejpam-4832	173	28	:	:	PUNCT
ejpam-4832	173	29	=	=	SYM
ejpam-4832	173	30	(	(	PUNCT
ejpam-4832	173	31	x	x	X
ejpam-4832	173	32	,	,	PUNCT
ejpam-4832	173	33	→	→	SYM
ejpam-4832	173	34	,	,	PUNCT
ejpam-4832	173	35	e	e	NOUN
ejpam-4832	173	36	,	,	PUNCT
ejpam-4832	173	37	≤x	≤x	PROPN
ejpam-4832	173	38	)	)	PUNCT
ejpam-4832	173	39	.	.	PUNCT
ejpam-4832	174	1	conversely	conversely	ADV
ejpam-4832	174	2	,	,	PUNCT
ejpam-4832	174	3	suppose	suppose	VERB
ejpam-4832	174	4	that	that	SCONJ
ejpam-4832	174	5	fi	fi	NOUN
ejpam-4832	174	6	and	and	CCONJ
ejpam-4832	174	7	gci	gci	PROPN
ejpam-4832	174	8	are	be	AUX
ejpam-4832	174	9	fuzzy	fuzzy	ADJ
ejpam-4832	174	10	ordered	order	VERB
ejpam-4832	174	11	subalgebras	subalgebra	NOUN
ejpam-4832	174	12	of	of	ADP
ejpam-4832	174	13	x	x	X
ejpam-4832	174	14	:	:	PUNCT
ejpam-4832	174	15	=	=	SYM
ejpam-4832	174	16	(	(	PUNCT
ejpam-4832	174	17	x	x	X
ejpam-4832	174	18	,	,	PUNCT
ejpam-4832	174	19	→	→	SYM
ejpam-4832	174	20	,	,	PUNCT
ejpam-4832	174	21	e	e	NOUN
ejpam-4832	174	22	,	,	PUNCT
ejpam-4832	174	23	≤x	≤x	PROPN
ejpam-4832	174	24	)	)	PUNCT
ejpam-4832	174	25	.	.	PUNCT
ejpam-4832	175	1	for	for	ADP
ejpam-4832	175	2	every	every	DET
ejpam-4832	175	3	x	x	NOUN
ejpam-4832	175	4	,	,	PUNCT
ejpam-4832	175	5	y	y	PROPN
ejpam-4832	175	6	∈	∈	PROPN
ejpam-4832	175	7	x	x	PUNCT
ejpam-4832	175	8	with	with	ADP
ejpam-4832	175	9	e	e	NOUN
ejpam-4832	175	10	≤x	≤x	NOUN
ejpam-4832	175	11	x	x	PUNCT
ejpam-4832	175	12	and	and	CCONJ
ejpam-4832	175	13	e	e	PROPN
ejpam-4832	175	14	≤x	≤x	PROPN
ejpam-4832	175	15	y	y	PROPN
ejpam-4832	175	16	,	,	PUNCT
ejpam-4832	175	17	we	we	PRON
ejpam-4832	175	18	have	have	VERB
ejpam-4832	175	19	fi(x	fi(x	NUM
ejpam-4832	175	20	→	→	SYM
ejpam-4832	175	21	y	y	X
ejpam-4832	175	22	)	)	PUNCT
ejpam-4832	175	23	≥	≥	PROPN
ejpam-4832	175	24	min{fi(x	min{fi(x	PROPN
ejpam-4832	175	25	)	)	PUNCT
ejpam-4832	175	26	,	,	PUNCT
ejpam-4832	175	27	fi(y	fi(y	NOUN
ejpam-4832	175	28	)	)	PUNCT
ejpam-4832	175	29	}	}	PUNCT
ejpam-4832	175	30	and	and	CCONJ
ejpam-4832	175	31	1−	1−	NUM
ejpam-4832	175	32	gi(x	gi(x	NUM
ejpam-4832	175	33	→	→	SYM
ejpam-4832	175	34	y	y	X
ejpam-4832	175	35	)	)	PUNCT
ejpam-4832	175	36	=	=	SYM
ejpam-4832	175	37	gci(x	gci(x	PROPN
ejpam-4832	175	38	→	→	SYM
ejpam-4832	175	39	y	y	PROPN
ejpam-4832	175	40	)	)	PUNCT
ejpam-4832	175	41	≥	≥	NOUN
ejpam-4832	175	42	min{gci(x	min{gci(x	PROPN
ejpam-4832	175	43	)	)	PUNCT
ejpam-4832	175	44	,	,	PUNCT
ejpam-4832	175	45	gci(y	gci(y	NOUN
ejpam-4832	175	46	)	)	PUNCT
ejpam-4832	175	47	}	}	PUNCT
ejpam-4832	175	48	=	=	PUNCT
ejpam-4832	175	49	min{1−	min{1−	X
ejpam-4832	175	50	gi(x	gi(x	NOUN
ejpam-4832	175	51	)	)	PUNCT
ejpam-4832	175	52	,	,	PUNCT
ejpam-4832	175	53	1−	1−	NUM
ejpam-4832	175	54	gi(y	gi(y	NOUN
ejpam-4832	175	55	)	)	PUNCT
ejpam-4832	175	56	}	}	PUNCT
ejpam-4832	175	57	=	=	SYM
ejpam-4832	176	1	1−max{gi(x	1−max{gi(x	ADJ
ejpam-4832	176	2	)	)	PUNCT
ejpam-4832	176	3	,	,	PUNCT
ejpam-4832	176	4	gi(y	gi(y	NOUN
ejpam-4832	176	5	)	)	PUNCT
ejpam-4832	176	6	}	}	PUNCT
ejpam-4832	176	7	,	,	PUNCT
ejpam-4832	176	8	that	that	ADV
ejpam-4832	176	9	is	is	ADV
ejpam-4832	176	10	,	,	PUNCT
ejpam-4832	176	11	gi(x	gi(x	PROPN
ejpam-4832	176	12	→	→	SYM
ejpam-4832	176	13	y	y	X
ejpam-4832	176	14	)	)	PUNCT
ejpam-4832	176	15	≤	≤	NOUN
ejpam-4832	176	16	max{gi(x	max{gi(x	NOUN
ejpam-4832	176	17	)	)	PUNCT
ejpam-4832	176	18	,	,	PUNCT
ejpam-4832	176	19	gi(y	gi(y	NOUN
ejpam-4832	176	20	)	)	PUNCT
ejpam-4832	176	21	}	}	PUNCT
ejpam-4832	176	22	.	.	PUNCT
ejpam-4832	177	1	therefore	therefore	ADV
ejpam-4832	177	2	i	i	PRON
ejpam-4832	177	3	:	:	PUNCT
ejpam-4832	177	4	=	=	X
ejpam-4832	177	5	{	{	PUNCT
ejpam-4832	177	6	⟨x	⟨x	VERB
ejpam-4832	177	7	,	,	PUNCT
ejpam-4832	177	8	fi	fi	NOUN
ejpam-4832	177	9	,	,	PUNCT
ejpam-4832	177	10	gi⟩	gi⟩	PROPN
ejpam-4832	177	11	|	|	ADV
ejpam-4832	177	12	x	x	SYM
ejpam-4832	177	13	∈	∈	NOUN
ejpam-4832	177	14	x	x	X
ejpam-4832	177	15	}	}	PUNCT
ejpam-4832	177	16	is	be	AUX
ejpam-4832	177	17	an	an	DET
ejpam-4832	177	18	intuitionistic	intuitionistic	ADJ
ejpam-4832	177	19	fuzzy	fuzzy	ADJ
ejpam-4832	177	20	ordered	order	VERB
ejpam-4832	177	21	subalgebra	subalgebra	NOUN
ejpam-4832	177	22	of	of	ADP
ejpam-4832	177	23	x	x	X
ejpam-4832	177	24	:	:	PUNCT
ejpam-4832	177	25	=	=	SYM
ejpam-4832	177	26	(	(	PUNCT
ejpam-4832	177	27	x	x	X
ejpam-4832	177	28	,	,	PUNCT
ejpam-4832	177	29	→	→	SYM
ejpam-4832	177	30	,	,	PUNCT
ejpam-4832	177	31	e	e	NOUN
ejpam-4832	177	32	,	,	PUNCT
ejpam-4832	177	33	≤x	≤x	PROPN
ejpam-4832	177	34	)	)	PUNCT
ejpam-4832	177	35	by	by	ADP
ejpam-4832	177	36	theorem	theorem	ADJ
ejpam-4832	177	37	3	3	NUM
ejpam-4832	177	38	.	.	PUNCT
ejpam-4832	177	39	theorem	theorem	NOUN
ejpam-4832	177	40	4	4	NUM
ejpam-4832	177	41	.	.	PUNCT
ejpam-4832	178	1	an	an	DET
ejpam-4832	178	2	intuitionistic	intuitionistic	ADJ
ejpam-4832	178	3	fuzzy	fuzzy	ADJ
ejpam-4832	178	4	set	set	NOUN
ejpam-4832	178	5	i	i	PRON
ejpam-4832	178	6	:	:	PUNCT
ejpam-4832	178	7	=	=	X
ejpam-4832	178	8	{	{	PUNCT
ejpam-4832	178	9	⟨x	⟨x	VERB
ejpam-4832	178	10	,	,	PUNCT
ejpam-4832	178	11	fi	fi	NOUN
ejpam-4832	178	12	,	,	PUNCT
ejpam-4832	178	13	gi⟩	gi⟩	PROPN
ejpam-4832	178	14	|	|	ADV
ejpam-4832	178	15	x	x	X
ejpam-4832	178	16	∈	∈	NOUN
ejpam-4832	178	17	x	x	X
ejpam-4832	178	18	}	}	PUNCT
ejpam-4832	178	19	in	in	ADP
ejpam-4832	178	20	x	x	PRON
ejpam-4832	178	21	is	be	AUX
ejpam-4832	178	22	an	an	DET
ejpam-4832	178	23	intuitionistic	intuitionistic	ADJ
ejpam-4832	178	24	fuzzy	fuzzy	ADJ
ejpam-4832	178	25	ordered	order	VERB
ejpam-4832	178	26	subalgebra	subalgebra	NOUN
ejpam-4832	178	27	of	of	ADP
ejpam-4832	178	28	x	x	X
ejpam-4832	178	29	:	:	PUNCT
ejpam-4832	178	30	=	=	SYM
ejpam-4832	178	31	(	(	PUNCT
ejpam-4832	178	32	x	x	X
ejpam-4832	178	33	,	,	PUNCT
ejpam-4832	178	34	→	→	SYM
ejpam-4832	178	35	,	,	PUNCT
ejpam-4832	178	36	e	e	NOUN
ejpam-4832	178	37	,	,	PUNCT
ejpam-4832	178	38	≤x	≤x	PROPN
ejpam-4832	178	39	)	)	PUNCT
ejpam-4832	178	40	if	if	SCONJ
ejpam-4832	178	41	and	and	CCONJ
ejpam-4832	178	42	only	only	ADV
ejpam-4832	178	43	if	if	SCONJ
ejpam-4832	178	44	□	□	PROPN
ejpam-4832	178	45	i	i	PRON
ejpam-4832	178	46	:	:	PUNCT
ejpam-4832	178	47	=	=	X
ejpam-4832	178	48	{	{	PUNCT
ejpam-4832	178	49	⟨x	⟨x	VERB
ejpam-4832	178	50	,	,	PUNCT
ejpam-4832	178	51	fi	fi	NOUN
ejpam-4832	178	52	,	,	PUNCT
ejpam-4832	178	53	f	f	PROPN
ejpam-4832	178	54	c	c	NOUN
ejpam-4832	178	55	i⟩	i⟩	PUNCT
ejpam-4832	179	1	|	|	ADV
ejpam-4832	179	2	x	x	SYM
ejpam-4832	179	3	∈	∈	NOUN
ejpam-4832	179	4	x	x	NOUN
ejpam-4832	179	5	}	}	PUNCT
ejpam-4832	179	6	and	and	CCONJ
ejpam-4832	179	7	♢	♢	PROPN
ejpam-4832	179	8	i	i	PRON
ejpam-4832	179	9	:	:	PUNCT
ejpam-4832	179	10	=	=	X
ejpam-4832	179	11	{	{	PUNCT
ejpam-4832	179	12	⟨x	⟨x	VERB
ejpam-4832	179	13	,	,	PUNCT
ejpam-4832	179	14	gci	gci	PROPN
ejpam-4832	179	15	,	,	PUNCT
ejpam-4832	179	16	gi⟩	gi⟩	PROPN
ejpam-4832	179	17	|	|	ADV
ejpam-4832	179	18	x	x	SYM
ejpam-4832	179	19	∈	∈	NOUN
ejpam-4832	179	20	x	x	X
ejpam-4832	179	21	}	}	PUNCT
ejpam-4832	179	22	are	be	AUX
ejpam-4832	179	23	intuitionistic	intuitionistic	ADJ
ejpam-4832	179	24	fuzzy	fuzzy	ADJ
ejpam-4832	179	25	ordered	order	VERB
ejpam-4832	179	26	subalgebras	subalgebra	NOUN
ejpam-4832	179	27	of	of	ADP
ejpam-4832	179	28	x	x	X
ejpam-4832	179	29	:	:	PUNCT
ejpam-4832	179	30	=	=	SYM
ejpam-4832	179	31	(	(	PUNCT
ejpam-4832	179	32	x	x	X
ejpam-4832	179	33	,	,	PUNCT
ejpam-4832	179	34	→	→	SYM
ejpam-4832	179	35	,	,	PUNCT
ejpam-4832	179	36	e	e	NOUN
ejpam-4832	179	37	,	,	PUNCT
ejpam-4832	179	38	≤x	≤x	PROPN
ejpam-4832	179	39	)	)	PUNCT
ejpam-4832	179	40	proof	proof	NOUN
ejpam-4832	179	41	.	.	PUNCT
ejpam-4832	180	1	it	it	PRON
ejpam-4832	180	2	is	be	AUX
ejpam-4832	180	3	straightforward	straightforward	ADJ
ejpam-4832	180	4	by	by	ADP
ejpam-4832	180	5	lemma	lemma	PROPN
ejpam-4832	180	6	1	1	NUM
ejpam-4832	180	7	.	.	PUNCT
ejpam-4832	180	8	theorem	theorem	NOUN
ejpam-4832	180	9	5	5	NUM
ejpam-4832	180	10	.	.	PUNCT
ejpam-4832	181	1	if	if	SCONJ
ejpam-4832	181	2	i	i	PRON
ejpam-4832	181	3	:	:	PUNCT
ejpam-4832	181	4	=	=	X
ejpam-4832	181	5	{	{	PUNCT
ejpam-4832	181	6	⟨x	⟨x	VERB
ejpam-4832	181	7	,	,	PUNCT
ejpam-4832	181	8	fi	fi	NOUN
ejpam-4832	181	9	,	,	PUNCT
ejpam-4832	181	10	gi⟩	gi⟩	PROPN
ejpam-4832	181	11	|	|	ADV
ejpam-4832	181	12	x	x	SYM
ejpam-4832	181	13	∈	∈	NOUN
ejpam-4832	181	14	x	x	X
ejpam-4832	181	15	}	}	PUNCT
ejpam-4832	181	16	is	be	AUX
ejpam-4832	181	17	an	an	DET
ejpam-4832	181	18	intuitionistic	intuitionistic	ADJ
ejpam-4832	181	19	fuzzy	fuzzy	ADJ
ejpam-4832	181	20	ordered	order	VERB
ejpam-4832	181	21	subalgebra	subalgebra	NOUN
ejpam-4832	181	22	of	of	ADP
ejpam-4832	181	23	x	x	X
ejpam-4832	181	24	:	:	PUNCT
ejpam-4832	181	25	=	=	SYM
ejpam-4832	181	26	(	(	PUNCT
ejpam-4832	181	27	x	x	X
ejpam-4832	181	28	,	,	PUNCT
ejpam-4832	181	29	→	→	SYM
ejpam-4832	181	30	,	,	PUNCT
ejpam-4832	181	31	e	e	NOUN
ejpam-4832	181	32	,	,	PUNCT
ejpam-4832	181	33	≤x	≤x	PROPN
ejpam-4832	181	34	)	)	PUNCT
ejpam-4832	181	35	,	,	PUNCT
ejpam-4832	181	36	then	then	ADV
ejpam-4832	181	37	the	the	DET
ejpam-4832	181	38	set	set	NOUN
ejpam-4832	181	39	i(0,1	i(0,1	NOUN
ejpam-4832	181	40	)	)	PUNCT
ejpam-4832	181	41	:	:	PUNCT
ejpam-4832	181	42	=	=	SYM
ejpam-4832	181	43	{	{	PUNCT
ejpam-4832	181	44	x	x	PUNCT
ejpam-4832	181	45	∈	∈	PROPN
ejpam-4832	181	46	x	x	X
ejpam-4832	181	47	|	|	NOUN
ejpam-4832	181	48	fi(x	fi(x	NUM
ejpam-4832	181	49	)	)	PUNCT
ejpam-4832	181	50	>	>	X
ejpam-4832	181	51	0	0	NUM
ejpam-4832	181	52	,	,	PUNCT
ejpam-4832	181	53	gi(x	gi(x	PUNCT
ejpam-4832	181	54	)	)	PUNCT
ejpam-4832	181	55	<	<	X
ejpam-4832	181	56	1	1	NUM
ejpam-4832	181	57	}	}	PUNCT
ejpam-4832	181	58	,	,	PUNCT
ejpam-4832	181	59	which	which	PRON
ejpam-4832	181	60	is	be	AUX
ejpam-4832	181	61	called	call	VERB
ejpam-4832	181	62	the	the	DET
ejpam-4832	181	63	intuitionistic	intuitionistic	ADJ
ejpam-4832	181	64	support	support	NOUN
ejpam-4832	181	65	of	of	ADP
ejpam-4832	181	66	i	i	PRON
ejpam-4832	181	67	,	,	PUNCT
ejpam-4832	181	68	is	be	AUX
ejpam-4832	181	69	an	an	DET
ejpam-4832	181	70	ordered	order	VERB
ejpam-4832	181	71	subalgebra	subalgebra	NOUN
ejpam-4832	181	72	of	of	ADP
ejpam-4832	181	73	x	x	X
ejpam-4832	181	74	:	:	PUNCT
ejpam-4832	181	75	=	=	SYM
ejpam-4832	181	76	(	(	PUNCT
ejpam-4832	181	77	x	x	X
ejpam-4832	181	78	,	,	PUNCT
ejpam-4832	181	79	→	→	SYM
ejpam-4832	181	80	,	,	PUNCT
ejpam-4832	181	81	e	e	NOUN
ejpam-4832	181	82	,	,	PUNCT
ejpam-4832	181	83	≤x	≤x	PROPN
ejpam-4832	181	84	)	)	PUNCT
ejpam-4832	181	85	.	.	PUNCT
ejpam-4832	182	1	proof	proof	NOUN
ejpam-4832	182	2	.	.	PUNCT
ejpam-4832	183	1	let	let	VERB
ejpam-4832	183	2	x	x	PRON
ejpam-4832	183	3	,	,	PUNCT
ejpam-4832	183	4	y	y	PROPN
ejpam-4832	183	5	∈	∈	PROPN
ejpam-4832	183	6	x	x	AUX
ejpam-4832	183	7	be	be	AUX
ejpam-4832	183	8	such	such	ADJ
ejpam-4832	183	9	that	that	SCONJ
ejpam-4832	183	10	e	e	PROPN
ejpam-4832	183	11	≤x	≤x	PROPN
ejpam-4832	183	12	x	x	X
ejpam-4832	183	13	,	,	PUNCT
ejpam-4832	183	14	e	e	PROPN
ejpam-4832	183	15	≤x	≤x	VERB
ejpam-4832	183	16	y	y	PROPN
ejpam-4832	183	17	and	and	CCONJ
ejpam-4832	183	18	x	x	NOUN
ejpam-4832	183	19	,	,	PUNCT
ejpam-4832	183	20	y	y	PROPN
ejpam-4832	183	21	∈	∈	PROPN
ejpam-4832	183	22	i(0,1	i(0,1	PROPN
ejpam-4832	183	23	)	)	PUNCT
ejpam-4832	183	24	.	.	PUNCT
ejpam-4832	184	1	then	then	ADV
ejpam-4832	184	2	fi(x	fi(x	NUM
ejpam-4832	184	3	)	)	PUNCT
ejpam-4832	184	4	>	>	X
ejpam-4832	185	1	0	0	NUM
ejpam-4832	185	2	,	,	PUNCT
ejpam-4832	185	3	gi(x	gi(x	PUNCT
ejpam-4832	185	4	)	)	PUNCT
ejpam-4832	186	1	<	<	X
ejpam-4832	186	2	1	1	NUM
ejpam-4832	186	3	,	,	PUNCT
ejpam-4832	186	4	fi(y	fi(y	NOUN
ejpam-4832	186	5	)	)	PUNCT
ejpam-4832	186	6	>	>	X
ejpam-4832	186	7	0	0	NUM
ejpam-4832	186	8	,	,	PUNCT
ejpam-4832	186	9	and	and	CCONJ
ejpam-4832	186	10	gi(y	gi(y	NOUN
ejpam-4832	186	11	)	)	PUNCT
ejpam-4832	186	12	<	<	X
ejpam-4832	186	13	1	1	X
ejpam-4832	186	14	.	.	PUNCT
ejpam-4832	186	15	using	use	VERB
ejpam-4832	186	16	theorem	theorem	NOUN
ejpam-4832	186	17	3	3	NUM
ejpam-4832	186	18	,	,	PUNCT
ejpam-4832	186	19	we	we	PRON
ejpam-4832	186	20	have	have	VERB
ejpam-4832	186	21	fi(x	fi(x	NUM
ejpam-4832	186	22	→	→	SYM
ejpam-4832	186	23	y	y	X
ejpam-4832	186	24	)	)	PUNCT
ejpam-4832	186	25	≥	≥	PROPN
ejpam-4832	186	26	min{fi(x	min{fi(x	PROPN
ejpam-4832	186	27	)	)	PUNCT
ejpam-4832	186	28	,	,	PUNCT
ejpam-4832	186	29	fi(y	fi(y	NOUN
ejpam-4832	186	30	)	)	PUNCT
ejpam-4832	186	31	}	}	PUNCT
ejpam-4832	186	32	>	>	X
ejpam-4832	186	33	0	0	PUNCT
ejpam-4832	186	34	and	and	CCONJ
ejpam-4832	186	35	gi(x	gi(x	NUM
ejpam-4832	186	36	→	→	SYM
ejpam-4832	186	37	y	y	X
ejpam-4832	186	38	)	)	PUNCT
ejpam-4832	186	39	≤	≤	NOUN
ejpam-4832	186	40	max{gi(x	max{gi(x	NOUN
ejpam-4832	186	41	)	)	PUNCT
ejpam-4832	186	42	,	,	PUNCT
ejpam-4832	186	43	gi(y	gi(y	NOUN
ejpam-4832	186	44	)	)	PUNCT
ejpam-4832	186	45	}	}	PUNCT
ejpam-4832	186	46	<	<	X
ejpam-4832	187	1	1	1	X
ejpam-4832	187	2	.	.	PUNCT
ejpam-4832	187	3	hence	hence	ADV
ejpam-4832	187	4	x	x	X
ejpam-4832	187	5	→	→	SYM
ejpam-4832	187	6	y	y	PROPN
ejpam-4832	187	7	∈	∈	PROPN
ejpam-4832	187	8	i(0,1	i(0,1	PROPN
ejpam-4832	187	9	)	)	PUNCT
ejpam-4832	187	10	,	,	PUNCT
ejpam-4832	187	11	and	and	CCONJ
ejpam-4832	187	12	so	so	ADV
ejpam-4832	187	13	i(0,1	i(0,1	NOUN
ejpam-4832	187	14	)	)	PUNCT
ejpam-4832	187	15	is	be	AUX
ejpam-4832	187	16	an	an	DET
ejpam-4832	187	17	ordered	order	VERB
ejpam-4832	187	18	subalgebra	subalgebra	NOUN
ejpam-4832	187	19	of	of	ADP
ejpam-4832	187	20	x	x	X
ejpam-4832	187	21	:	:	PUNCT
ejpam-4832	187	22	=	=	SYM
ejpam-4832	187	23	(	(	PUNCT
ejpam-4832	187	24	x	x	X
ejpam-4832	187	25	,	,	PUNCT
ejpam-4832	187	26	→	→	SYM
ejpam-4832	187	27	,	,	PUNCT
ejpam-4832	187	28	e	e	NOUN
ejpam-4832	187	29	,	,	PUNCT
ejpam-4832	187	30	≤x	≤x	PROPN
ejpam-4832	187	31	)	)	PUNCT
ejpam-4832	187	32	.	.	PUNCT
ejpam-4832	188	1	theorem	theorem	VERB
ejpam-4832	188	2	6	6	NUM
ejpam-4832	188	3	.	.	PUNCT
ejpam-4832	189	1	if	if	SCONJ
ejpam-4832	189	2	an	an	DET
ejpam-4832	189	3	intuitionistic	intuitionistic	ADJ
ejpam-4832	189	4	fuzzy	fuzzy	ADJ
ejpam-4832	189	5	set	set	NOUN
ejpam-4832	189	6	i	i	PRON
ejpam-4832	189	7	:	:	PUNCT
ejpam-4832	189	8	=	=	X
ejpam-4832	189	9	{	{	PUNCT
ejpam-4832	189	10	⟨x	⟨x	VERB
ejpam-4832	189	11	,	,	PUNCT
ejpam-4832	189	12	fi	fi	NOUN
ejpam-4832	189	13	,	,	PUNCT
ejpam-4832	189	14	gi⟩	gi⟩	PROPN
ejpam-4832	189	15	|	|	ADV
ejpam-4832	189	16	x	x	X
ejpam-4832	189	17	∈	∈	NOUN
ejpam-4832	189	18	x	x	X
ejpam-4832	189	19	}	}	PUNCT
ejpam-4832	189	20	in	in	ADP
ejpam-4832	189	21	x	x	X
ejpam-4832	189	22	satisfies	satisfie	NOUN
ejpam-4832	189	23	:	:	PUNCT
ejpam-4832	189	24	(	(	PUNCT
ejpam-4832	189	25	∀x	∀x	X
ejpam-4832	189	26	,	,	PUNCT
ejpam-4832	189	27	y	y	PROPN
ejpam-4832	189	28	∈	∈	PROPN
ejpam-4832	189	29	x	x	X
ejpam-4832	189	30	)	)	PUNCT
ejpam-4832	189	31	(	(	PUNCT
ejpam-4832	189	32	e	e	X
ejpam-4832	189	33	≤x	≤x	PROPN
ejpam-4832	189	34	x	x	X
ejpam-4832	189	35	,	,	PUNCT
ejpam-4832	189	36	e	e	PROPN
ejpam-4832	189	37	≤x	≤x	PROPN
ejpam-4832	189	38	y	y	PROPN
ejpam-4832	189	39	,	,	PUNCT
ejpam-4832	189	40	x(t1,s1	x(t1,s1	NOUN
ejpam-4832	189	41	)	)	PUNCT
ejpam-4832	189	42	∈	∈	PROPN
ejpam-4832	190	1	i	i	PRON
ejpam-4832	190	2	,	,	PUNCT
ejpam-4832	190	3	y(t2,s2	y(t2,s2	PROPN
ejpam-4832	190	4	)	)	PUNCT
ejpam-4832	190	5	∈	∈	PROPN
ejpam-4832	190	6	i	i	PRON
ejpam-4832	190	7	⇒	⇒	VERB
ejpam-4832	190	8	(	(	PUNCT
ejpam-4832	190	9	x	x	NOUN
ejpam-4832	190	10	→	→	SYM
ejpam-4832	190	11	y)(min{t1,t2},max{s1,s2	y)(min{t1,t2},max{s1,s2	PRON
ejpam-4832	190	12	}	}	PUNCT
ejpam-4832	190	13	)	)	PUNCT
ejpam-4832	191	1	q	q	PROPN
ejpam-4832	192	1	i	i	NOUN
ejpam-4832	192	2	)	)	PUNCT
ejpam-4832	192	3	(	(	PUNCT
ejpam-4832	192	4	26	26	NUM
ejpam-4832	192	5	)	)	PUNCT
ejpam-4832	192	6	where	where	SCONJ
ejpam-4832	192	7	(	(	PUNCT
ejpam-4832	192	8	ti	ti	NOUN
ejpam-4832	192	9	,	,	PUNCT
ejpam-4832	192	10	si	si	ADJ
ejpam-4832	192	11	)	)	PUNCT
ejpam-4832	192	12	∈	∈	PROPN
ejpam-4832	192	13	(	(	PUNCT
ejpam-4832	192	14	0	0	NUM
ejpam-4832	192	15	,	,	PUNCT
ejpam-4832	192	16	1]×	1]×	NUM
ejpam-4832	193	1	[	[	X
ejpam-4832	193	2	0	0	NUM
ejpam-4832	193	3	,	,	PUNCT
ejpam-4832	193	4	1	1	NUM
ejpam-4832	193	5	)	)	PUNCT
ejpam-4832	193	6	for	for	ADP
ejpam-4832	193	7	i	i	PRON
ejpam-4832	193	8	=	=	SYM
ejpam-4832	193	9	1	1	NUM
ejpam-4832	193	10	,	,	PUNCT
ejpam-4832	193	11	2	2	NUM
ejpam-4832	193	12	,	,	PUNCT
ejpam-4832	193	13	then	then	ADV
ejpam-4832	193	14	its	its	PRON
ejpam-4832	193	15	intuitionistic	intuitionistic	ADJ
ejpam-4832	193	16	support	support	NOUN
ejpam-4832	193	17	i(0,1	i(0,1	NOUN
ejpam-4832	193	18	)	)	PUNCT
ejpam-4832	193	19	is	be	AUX
ejpam-4832	193	20	an	an	DET
ejpam-4832	193	21	ordered	order	VERB
ejpam-4832	193	22	subalgebra	subalgebra	NOUN
ejpam-4832	193	23	of	of	ADP
ejpam-4832	193	24	x	x	X
ejpam-4832	193	25	:	:	PUNCT
ejpam-4832	193	26	=	=	SYM
ejpam-4832	193	27	(	(	PUNCT
ejpam-4832	193	28	x	x	X
ejpam-4832	193	29	,	,	PUNCT
ejpam-4832	193	30	→	→	SYM
ejpam-4832	193	31	,	,	PUNCT
ejpam-4832	193	32	e	e	NOUN
ejpam-4832	193	33	,	,	PUNCT
ejpam-4832	193	34	≤x	≤x	PROPN
ejpam-4832	193	35	)	)	PUNCT
ejpam-4832	193	36	.	.	PUNCT
ejpam-4832	194	1	e.	e.	PROPN
ejpam-4832	194	2	h.	h.	PROPN
ejpam-4832	194	3	roh	roh	PROPN
ejpam-4832	194	4	,	,	PUNCT
ejpam-4832	194	5	e.	e.	PROPN
ejpam-4832	194	6	yang	yang	PROPN
ejpam-4832	194	7	,	,	PUNCT
ejpam-4832	194	8	y.	y.	PROPN
ejpam-4832	194	9	b.	b.	PROPN
ejpam-4832	194	10	jun	jun	PROPN
ejpam-4832	194	11	/	/	SYM
ejpam-4832	194	12	eur	eur	PROPN
ejpam-4832	194	13	.	.	PUNCT
ejpam-4832	195	1	j.	j.	PROPN
ejpam-4832	195	2	pure	pure	PROPN
ejpam-4832	195	3	appl	appl	PROPN
ejpam-4832	195	4	.	.	PROPN
ejpam-4832	195	5	math	math	PROPN
ejpam-4832	195	6	,	,	PUNCT
ejpam-4832	195	7	16	16	NUM
ejpam-4832	195	8	(	(	PUNCT
ejpam-4832	195	9	3	3	NUM
ejpam-4832	195	10	)	)	PUNCT
ejpam-4832	195	11	(	(	PUNCT
ejpam-4832	195	12	2023	2023	NUM
ejpam-4832	195	13	)	)	PUNCT
ejpam-4832	195	14	,	,	PUNCT
ejpam-4832	195	15	1342	1342	NUM
ejpam-4832	195	16	-	-	SYM
ejpam-4832	195	17	1358	1358	NUM
ejpam-4832	195	18	1350	1350	NUM
ejpam-4832	195	19	proof	proof	NOUN
ejpam-4832	195	20	.	.	PUNCT
ejpam-4832	196	1	let	let	VERB
ejpam-4832	196	2	x	x	PRON
ejpam-4832	196	3	,	,	PUNCT
ejpam-4832	196	4	y	y	PROPN
ejpam-4832	196	5	∈	∈	PROPN
ejpam-4832	196	6	x	x	AUX
ejpam-4832	196	7	be	be	AUX
ejpam-4832	196	8	such	such	ADJ
ejpam-4832	196	9	that	that	SCONJ
ejpam-4832	196	10	e	e	PROPN
ejpam-4832	196	11	≤x	≤x	PROPN
ejpam-4832	196	12	x	x	X
ejpam-4832	196	13	,	,	PUNCT
ejpam-4832	196	14	e	e	PROPN
ejpam-4832	196	15	≤x	≤x	VERB
ejpam-4832	196	16	y	y	PROPN
ejpam-4832	196	17	and	and	CCONJ
ejpam-4832	196	18	x	x	NOUN
ejpam-4832	196	19	,	,	PUNCT
ejpam-4832	196	20	y	y	PROPN
ejpam-4832	196	21	∈	∈	PROPN
ejpam-4832	196	22	i(0,1	i(0,1	PROPN
ejpam-4832	196	23	)	)	PUNCT
ejpam-4832	196	24	.	.	PUNCT
ejpam-4832	197	1	then	then	ADV
ejpam-4832	197	2	(	(	PUNCT
ejpam-4832	197	3	fi(x	fi(x	NUM
ejpam-4832	197	4	)	)	PUNCT
ejpam-4832	197	5	,	,	PUNCT
ejpam-4832	197	6	gi(x	gi(x	PROPN
ejpam-4832	197	7	)	)	PUNCT
ejpam-4832	197	8	)	)	PUNCT
ejpam-4832	197	9	,	,	PUNCT
ejpam-4832	197	10	(	(	PUNCT
ejpam-4832	197	11	fi(y	fi(y	NOUN
ejpam-4832	197	12	)	)	PUNCT
ejpam-4832	197	13	,	,	PUNCT
ejpam-4832	197	14	gi(y	gi(y	NOUN
ejpam-4832	197	15	)	)	PUNCT
ejpam-4832	197	16	)	)	PUNCT
ejpam-4832	198	1	∈	∈	PROPN
ejpam-4832	198	2	(	(	PUNCT
ejpam-4832	198	3	0	0	NUM
ejpam-4832	198	4	,	,	PUNCT
ejpam-4832	198	5	1]×	1]×	NUM
ejpam-4832	198	6	[	[	X
ejpam-4832	198	7	0	0	NUM
ejpam-4832	198	8	,	,	PUNCT
ejpam-4832	198	9	1	1	NUM
ejpam-4832	198	10	)	)	PUNCT
ejpam-4832	198	11	.	.	PUNCT
ejpam-4832	199	1	note	note	VERB
ejpam-4832	199	2	that	that	SCONJ
ejpam-4832	199	3	x(fi(x),gi(x	x(fi(x),gi(x	ADV
ejpam-4832	199	4	)	)	PUNCT
ejpam-4832	199	5	)	)	PUNCT
ejpam-4832	200	1	∈	∈	PROPN
ejpam-4832	200	2	i	i	PRON
ejpam-4832	200	3	and	and	CCONJ
ejpam-4832	200	4	y(fi(y),gi(y	y(fi(y),gi(y	NOUN
ejpam-4832	200	5	)	)	PUNCT
ejpam-4832	200	6	)	)	PUNCT
ejpam-4832	201	1	∈	∈	PROPN
ejpam-4832	201	2	i.	i.	NOUN
ejpam-4832	201	3	using	use	VERB
ejpam-4832	201	4	(	(	PUNCT
ejpam-4832	201	5	26	26	NUM
ejpam-4832	201	6	)	)	PUNCT
ejpam-4832	201	7	,	,	PUNCT
ejpam-4832	201	8	we	we	PRON
ejpam-4832	201	9	get	get	VERB
ejpam-4832	201	10	(	(	PUNCT
ejpam-4832	201	11	x	x	X
ejpam-4832	201	12	→	→	SYM
ejpam-4832	201	13	y)(min{fi(x),fi(y)},max{gi(x),gi(y	y)(min{fi(x),fi(y)},max{gi(x),gi(y	NUM
ejpam-4832	201	14	)	)	PUNCT
ejpam-4832	201	15	}	}	PUNCT
ejpam-4832	201	16	)	)	PUNCT
ejpam-4832	202	1	q	q	PROPN
ejpam-4832	202	2	i.	i.	NOUN
ejpam-4832	202	3	hence	hence	ADV
ejpam-4832	202	4	fi(x	fi(x	PROPN
ejpam-4832	202	5	→	→	SYM
ejpam-4832	202	6	y	y	X
ejpam-4832	202	7	)	)	PUNCT
ejpam-4832	202	8	>	>	X
ejpam-4832	202	9	1−min{fi(x	1−min{fi(x	PROPN
ejpam-4832	202	10	)	)	PUNCT
ejpam-4832	202	11	,	,	PUNCT
ejpam-4832	202	12	fi(y	fi(y	NOUN
ejpam-4832	202	13	)	)	PUNCT
ejpam-4832	202	14	}	}	PUNCT
ejpam-4832	202	15	≥	≥	NOUN
ejpam-4832	202	16	0	0	NUM
ejpam-4832	202	17	and	and	CCONJ
ejpam-4832	202	18	gi(x	gi(x	NUM
ejpam-4832	202	19	→	→	SYM
ejpam-4832	202	20	y	y	X
ejpam-4832	202	21	)	)	PUNCT
ejpam-4832	202	22	<	<	X
ejpam-4832	202	23	1−max{gi(x	1−max{gi(x	PROPN
ejpam-4832	202	24	)	)	PUNCT
ejpam-4832	202	25	,	,	PUNCT
ejpam-4832	202	26	gi(y	gi(y	NOUN
ejpam-4832	202	27	)	)	PUNCT
ejpam-4832	202	28	}	}	PUNCT
ejpam-4832	202	29	≤	≤	NUM
ejpam-4832	202	30	1	1	NUM
ejpam-4832	202	31	.	.	PUNCT
ejpam-4832	203	1	this	this	PRON
ejpam-4832	203	2	shows	show	VERB
ejpam-4832	203	3	that	that	SCONJ
ejpam-4832	203	4	x	x	X
ejpam-4832	203	5	→	→	SYM
ejpam-4832	203	6	y	y	PROPN
ejpam-4832	203	7	∈	∈	PROPN
ejpam-4832	203	8	i(0,1	i(0,1	PROPN
ejpam-4832	203	9	)	)	PUNCT
ejpam-4832	203	10	,	,	PUNCT
ejpam-4832	203	11	and	and	CCONJ
ejpam-4832	203	12	therefore	therefore	ADV
ejpam-4832	203	13	i(0,1	i(0,1	NOUN
ejpam-4832	203	14	)	)	PUNCT
ejpam-4832	203	15	is	be	AUX
ejpam-4832	203	16	an	an	DET
ejpam-4832	203	17	ordered	order	VERB
ejpam-4832	203	18	subalgebra	subalgebra	NOUN
ejpam-4832	203	19	of	of	ADP
ejpam-4832	203	20	x	x	X
ejpam-4832	203	21	:	:	PUNCT
ejpam-4832	203	22	=	=	SYM
ejpam-4832	203	23	(	(	PUNCT
ejpam-4832	203	24	x	x	X
ejpam-4832	203	25	,	,	PUNCT
ejpam-4832	203	26	→	→	SYM
ejpam-4832	203	27	,	,	PUNCT
ejpam-4832	203	28	e	e	NOUN
ejpam-4832	203	29	,	,	PUNCT
ejpam-4832	203	30	≤x	≤x	PROPN
ejpam-4832	203	31	)	)	PUNCT
ejpam-4832	203	32	.	.	PUNCT
ejpam-4832	204	1	theorem	theorem	VERB
ejpam-4832	204	2	7	7	NUM
ejpam-4832	204	3	.	.	PUNCT
ejpam-4832	205	1	if	if	SCONJ
ejpam-4832	205	2	an	an	DET
ejpam-4832	205	3	intuitionistic	intuitionistic	ADJ
ejpam-4832	205	4	fuzzy	fuzzy	ADJ
ejpam-4832	205	5	set	set	NOUN
ejpam-4832	205	6	i	i	PRON
ejpam-4832	205	7	:	:	PUNCT
ejpam-4832	205	8	=	=	X
ejpam-4832	205	9	{	{	PUNCT
ejpam-4832	205	10	⟨x	⟨x	VERB
ejpam-4832	205	11	,	,	PUNCT
ejpam-4832	205	12	fi	fi	NOUN
ejpam-4832	205	13	,	,	PUNCT
ejpam-4832	205	14	gi⟩	gi⟩	PROPN
ejpam-4832	205	15	|	|	ADV
ejpam-4832	205	16	x	x	X
ejpam-4832	205	17	∈	∈	NOUN
ejpam-4832	205	18	x	x	X
ejpam-4832	205	19	}	}	PUNCT
ejpam-4832	205	20	in	in	ADP
ejpam-4832	205	21	x	x	X
ejpam-4832	205	22	satisfies	satisfie	NOUN
ejpam-4832	205	23	:	:	PUNCT
ejpam-4832	205	24	(	(	PUNCT
ejpam-4832	205	25	∀x	∀x	X
ejpam-4832	205	26	,	,	PUNCT
ejpam-4832	205	27	y	y	PROPN
ejpam-4832	205	28	∈	∈	PROPN
ejpam-4832	205	29	x	x	X
ejpam-4832	205	30	)	)	PUNCT
ejpam-4832	205	31	(	(	PUNCT
ejpam-4832	205	32	e	e	X
ejpam-4832	205	33	≤x	≤x	PROPN
ejpam-4832	205	34	x	x	X
ejpam-4832	205	35	,	,	PUNCT
ejpam-4832	205	36	e	e	PROPN
ejpam-4832	205	37	≤x	≤x	PROPN
ejpam-4832	205	38	y	y	PROPN
ejpam-4832	205	39	,	,	PUNCT
ejpam-4832	205	40	x(t1,s1	x(t1,s1	NOUN
ejpam-4832	205	41	)	)	PUNCT
ejpam-4832	205	42	q	q	PROPN
ejpam-4832	206	1	i	i	PROPN
ejpam-4832	206	2	,	,	PUNCT
ejpam-4832	206	3	y(t2,s2	y(t2,s2	NOUN
ejpam-4832	206	4	)	)	PUNCT
ejpam-4832	206	5	q	q	NOUN
ejpam-4832	207	1	i	i	PRON
ejpam-4832	207	2	⇒	⇒	VERB
ejpam-4832	207	3	(	(	PUNCT
ejpam-4832	207	4	x	x	NOUN
ejpam-4832	207	5	→	→	SYM
ejpam-4832	207	6	y)(min{t1,t2},max{s1,s2	y)(min{t1,t2},max{s1,s2	PRON
ejpam-4832	207	7	}	}	PUNCT
ejpam-4832	207	8	)	)	PUNCT
ejpam-4832	208	1	∈	∈	PROPN
ejpam-4832	208	2	i	i	NOUN
ejpam-4832	208	3	)	)	PUNCT
ejpam-4832	208	4	(	(	PUNCT
ejpam-4832	208	5	27	27	NUM
ejpam-4832	208	6	)	)	PUNCT
ejpam-4832	208	7	for	for	ADP
ejpam-4832	208	8	all	all	DET
ejpam-4832	208	9	(	(	PUNCT
ejpam-4832	208	10	ti	ti	NOUN
ejpam-4832	208	11	,	,	PUNCT
ejpam-4832	208	12	si	si	ADJ
ejpam-4832	208	13	)	)	PUNCT
ejpam-4832	208	14	∈	∈	PROPN
ejpam-4832	208	15	(	(	PUNCT
ejpam-4832	208	16	0	0	NUM
ejpam-4832	208	17	,	,	PUNCT
ejpam-4832	208	18	1]×	1]×	NUM
ejpam-4832	209	1	[	[	X
ejpam-4832	209	2	0	0	NUM
ejpam-4832	209	3	,	,	PUNCT
ejpam-4832	209	4	1	1	NUM
ejpam-4832	209	5	)	)	PUNCT
ejpam-4832	209	6	for	for	ADP
ejpam-4832	209	7	i	i	PRON
ejpam-4832	209	8	=	=	SYM
ejpam-4832	209	9	1	1	NUM
ejpam-4832	209	10	,	,	PUNCT
ejpam-4832	209	11	2	2	NUM
ejpam-4832	209	12	,	,	PUNCT
ejpam-4832	209	13	then	then	ADV
ejpam-4832	209	14	its	its	PRON
ejpam-4832	209	15	intuitionistic	intuitionistic	ADJ
ejpam-4832	209	16	support	support	NOUN
ejpam-4832	209	17	i(0,1	i(0,1	NOUN
ejpam-4832	209	18	)	)	PUNCT
ejpam-4832	209	19	is	be	AUX
ejpam-4832	209	20	an	an	DET
ejpam-4832	209	21	ordered	order	VERB
ejpam-4832	209	22	subalgebra	subalgebra	NOUN
ejpam-4832	209	23	of	of	ADP
ejpam-4832	209	24	x	x	X
ejpam-4832	209	25	:	:	PUNCT
ejpam-4832	209	26	=	=	SYM
ejpam-4832	209	27	(	(	PUNCT
ejpam-4832	209	28	x	x	X
ejpam-4832	209	29	,	,	PUNCT
ejpam-4832	209	30	→	→	SYM
ejpam-4832	209	31	,	,	PUNCT
ejpam-4832	209	32	e	e	NOUN
ejpam-4832	209	33	,	,	PUNCT
ejpam-4832	209	34	≤x	≤x	PROPN
ejpam-4832	209	35	)	)	PUNCT
ejpam-4832	209	36	.	.	PUNCT
ejpam-4832	210	1	proof	proof	NOUN
ejpam-4832	210	2	.	.	PUNCT
ejpam-4832	211	1	let	let	VERB
ejpam-4832	211	2	x	x	PRON
ejpam-4832	211	3	,	,	PUNCT
ejpam-4832	211	4	y	y	PROPN
ejpam-4832	211	5	∈	∈	PROPN
ejpam-4832	211	6	x	x	AUX
ejpam-4832	211	7	be	be	AUX
ejpam-4832	211	8	such	such	ADJ
ejpam-4832	211	9	that	that	SCONJ
ejpam-4832	211	10	e	e	PROPN
ejpam-4832	211	11	≤x	≤x	PROPN
ejpam-4832	211	12	x	x	X
ejpam-4832	211	13	,	,	PUNCT
ejpam-4832	211	14	e	e	PROPN
ejpam-4832	211	15	≤x	≤x	VERB
ejpam-4832	211	16	y	y	PROPN
ejpam-4832	211	17	and	and	CCONJ
ejpam-4832	211	18	x	x	NOUN
ejpam-4832	211	19	,	,	PUNCT
ejpam-4832	211	20	y	y	PROPN
ejpam-4832	211	21	∈	∈	PROPN
ejpam-4832	211	22	i(0,1	i(0,1	PROPN
ejpam-4832	211	23	)	)	PUNCT
ejpam-4832	211	24	.	.	PUNCT
ejpam-4832	212	1	then	then	ADV
ejpam-4832	212	2	(	(	PUNCT
ejpam-4832	212	3	fi(x	fi(x	NUM
ejpam-4832	212	4	)	)	PUNCT
ejpam-4832	212	5	,	,	PUNCT
ejpam-4832	212	6	gi(x	gi(x	PROPN
ejpam-4832	212	7	)	)	PUNCT
ejpam-4832	212	8	)	)	PUNCT
ejpam-4832	212	9	,	,	PUNCT
ejpam-4832	212	10	(	(	PUNCT
ejpam-4832	212	11	fi(y	fi(y	NOUN
ejpam-4832	212	12	)	)	PUNCT
ejpam-4832	212	13	,	,	PUNCT
ejpam-4832	212	14	gi(y	gi(y	NOUN
ejpam-4832	212	15	)	)	PUNCT
ejpam-4832	212	16	)	)	PUNCT
ejpam-4832	213	1	∈	∈	PROPN
ejpam-4832	213	2	(	(	PUNCT
ejpam-4832	213	3	0	0	NUM
ejpam-4832	213	4	,	,	PUNCT
ejpam-4832	213	5	1	1	NUM
ejpam-4832	213	6	]	]	SYM
ejpam-4832	213	7	×	×	NOUN
ejpam-4832	213	8	[	[	X
ejpam-4832	213	9	0	0	NUM
ejpam-4832	213	10	,	,	PUNCT
ejpam-4832	213	11	1	1	NUM
ejpam-4832	213	12	)	)	PUNCT
ejpam-4832	213	13	,	,	PUNCT
ejpam-4832	213	14	and	and	CCONJ
ejpam-4832	213	15	so	so	ADV
ejpam-4832	213	16	fi(x	fi(x	NUM
ejpam-4832	213	17	)	)	PUNCT
ejpam-4832	214	1	+	+	CCONJ
ejpam-4832	214	2	1	1	NUM
ejpam-4832	214	3	>	>	SYM
ejpam-4832	214	4	1	1	NUM
ejpam-4832	214	5	,	,	PUNCT
ejpam-4832	214	6	gi(x	gi(x	PUNCT
ejpam-4832	214	7	)	)	PUNCT
ejpam-4832	215	1	+	+	CCONJ
ejpam-4832	215	2	0	0	NUM
ejpam-4832	215	3	<	<	X
ejpam-4832	215	4	1	1	NUM
ejpam-4832	215	5	,	,	PUNCT
ejpam-4832	215	6	fi(y	fi(y	NOUN
ejpam-4832	215	7	)	)	PUNCT
ejpam-4832	215	8	+	+	CCONJ
ejpam-4832	215	9	1	1	NUM
ejpam-4832	215	10	>	>	SYM
ejpam-4832	215	11	1	1	NUM
ejpam-4832	215	12	,	,	PUNCT
ejpam-4832	215	13	and	and	CCONJ
ejpam-4832	215	14	gi(y	gi(y	NOUN
ejpam-4832	215	15	)	)	PUNCT
ejpam-4832	216	1	+	+	CCONJ
ejpam-4832	216	2	0	0	NUM
ejpam-4832	216	3	<	<	X
ejpam-4832	217	1	1	1	NUM
ejpam-4832	217	2	.	.	PUNCT
ejpam-4832	218	1	this	this	PRON
ejpam-4832	218	2	shows	show	VERB
ejpam-4832	218	3	that	that	SCONJ
ejpam-4832	218	4	x(1,0	x(1,0	NOUN
ejpam-4832	218	5	)	)	PUNCT
ejpam-4832	218	6	q	q	PROPN
ejpam-4832	219	1	i	i	PROPN
ejpam-4832	219	2	and	and	CCONJ
ejpam-4832	219	3	y(1,0	y(1,0	NUM
ejpam-4832	219	4	)	)	PUNCT
ejpam-4832	219	5	q	q	PROPN
ejpam-4832	219	6	i.	i.	NOUN
ejpam-4832	220	1	it	it	PRON
ejpam-4832	220	2	follows	follow	VERB
ejpam-4832	220	3	from	from	ADP
ejpam-4832	220	4	(	(	PUNCT
ejpam-4832	220	5	27	27	NUM
ejpam-4832	220	6	)	)	PUNCT
ejpam-4832	220	7	that	that	SCONJ
ejpam-4832	220	8	(	(	PUNCT
ejpam-4832	220	9	x	x	X
ejpam-4832	220	10	→	→	SYM
ejpam-4832	220	11	y)(1,0	y)(1,0	ADJ
ejpam-4832	220	12	)	)	PUNCT
ejpam-4832	220	13	∈	∈	PROPN
ejpam-4832	220	14	i.	i.	NOUN
ejpam-4832	220	15	hence	hence	ADV
ejpam-4832	220	16	fi(x	fi(x	PROPN
ejpam-4832	220	17	→	→	SYM
ejpam-4832	220	18	y	y	X
ejpam-4832	220	19	)	)	PUNCT
ejpam-4832	220	20	=	=	SYM
ejpam-4832	221	1	1	1	NUM
ejpam-4832	221	2	>	>	SYM
ejpam-4832	221	3	0	0	PUNCT
ejpam-4832	222	1	and	and	CCONJ
ejpam-4832	222	2	gi(x	gi(x	NUM
ejpam-4832	222	3	→	→	SYM
ejpam-4832	222	4	y	y	X
ejpam-4832	222	5	)	)	PUNCT
ejpam-4832	222	6	=	=	SYM
ejpam-4832	222	7	0	0	PUNCT
ejpam-4832	222	8	<	<	X
ejpam-4832	222	9	1	1	NUM
ejpam-4832	222	10	,	,	PUNCT
ejpam-4832	222	11	which	which	PRON
ejpam-4832	222	12	imply	imply	VERB
ejpam-4832	222	13	that	that	SCONJ
ejpam-4832	222	14	x	x	X
ejpam-4832	222	15	→	→	SYM
ejpam-4832	222	16	y	y	PROPN
ejpam-4832	222	17	∈	∈	PROPN
ejpam-4832	222	18	i(0,1	i(0,1	PROPN
ejpam-4832	222	19	)	)	PUNCT
ejpam-4832	222	20	.	.	PUNCT
ejpam-4832	223	1	hence	hence	ADV
ejpam-4832	223	2	i(0,1	i(0,1	NOUN
ejpam-4832	223	3	)	)	PUNCT
ejpam-4832	223	4	is	be	AUX
ejpam-4832	223	5	an	an	DET
ejpam-4832	223	6	ordered	order	VERB
ejpam-4832	223	7	subalgebra	subalgebra	NOUN
ejpam-4832	223	8	of	of	ADP
ejpam-4832	223	9	x	x	X
ejpam-4832	223	10	:	:	PUNCT
ejpam-4832	223	11	=	=	SYM
ejpam-4832	223	12	(	(	PUNCT
ejpam-4832	223	13	x	x	X
ejpam-4832	223	14	,	,	PUNCT
ejpam-4832	223	15	→	→	SYM
ejpam-4832	223	16	,	,	PUNCT
ejpam-4832	223	17	e	e	NOUN
ejpam-4832	223	18	,	,	PUNCT
ejpam-4832	223	19	≤x	≤x	PROPN
ejpam-4832	223	20	)	)	PUNCT
ejpam-4832	223	21	.	.	PUNCT
ejpam-4832	224	1	theorem	theorem	VERB
ejpam-4832	224	2	8	8	NUM
ejpam-4832	224	3	.	.	PUNCT
ejpam-4832	225	1	if	if	SCONJ
ejpam-4832	225	2	an	an	DET
ejpam-4832	225	3	intuitionistic	intuitionistic	ADJ
ejpam-4832	225	4	fuzzy	fuzzy	ADJ
ejpam-4832	225	5	set	set	NOUN
ejpam-4832	225	6	if	if	SCONJ
ejpam-4832	225	7	i	i	PRON
ejpam-4832	225	8	:	:	PUNCT
ejpam-4832	225	9	=	=	X
ejpam-4832	225	10	{	{	PUNCT
ejpam-4832	225	11	⟨x	⟨x	VERB
ejpam-4832	225	12	,	,	PUNCT
ejpam-4832	225	13	fi	fi	NOUN
ejpam-4832	225	14	,	,	PUNCT
ejpam-4832	225	15	gi⟩	gi⟩	PROPN
ejpam-4832	225	16	|	|	ADV
ejpam-4832	225	17	x	x	X
ejpam-4832	225	18	∈	∈	NOUN
ejpam-4832	225	19	x	x	X
ejpam-4832	225	20	}	}	PUNCT
ejpam-4832	225	21	in	in	ADP
ejpam-4832	225	22	x	x	X
ejpam-4832	225	23	satisfies	satisfie	NOUN
ejpam-4832	225	24	:	:	PUNCT
ejpam-4832	225	25	(	(	PUNCT
ejpam-4832	225	26	∀x	∀x	X
ejpam-4832	225	27	,	,	PUNCT
ejpam-4832	225	28	y	y	PROPN
ejpam-4832	225	29	∈	∈	PROPN
ejpam-4832	225	30	x	x	X
ejpam-4832	225	31	)	)	PUNCT
ejpam-4832	225	32	(	(	PUNCT
ejpam-4832	225	33	e	e	X
ejpam-4832	225	34	≤x	≤x	PROPN
ejpam-4832	225	35	x	x	X
ejpam-4832	225	36	,	,	PUNCT
ejpam-4832	225	37	e	e	PROPN
ejpam-4832	225	38	≤x	≤x	PROPN
ejpam-4832	225	39	y	y	PROPN
ejpam-4832	225	40	,	,	PUNCT
ejpam-4832	225	41	x(t1,s1	x(t1,s1	NOUN
ejpam-4832	225	42	)	)	PUNCT
ejpam-4832	225	43	q	q	PROPN
ejpam-4832	226	1	i	i	PROPN
ejpam-4832	226	2	,	,	PUNCT
ejpam-4832	226	3	y(t2,s2	y(t2,s2	NOUN
ejpam-4832	226	4	)	)	PUNCT
ejpam-4832	226	5	q	q	NOUN
ejpam-4832	227	1	i	i	PRON
ejpam-4832	227	2	⇒	⇒	VERB
ejpam-4832	227	3	(	(	PUNCT
ejpam-4832	227	4	x	x	NOUN
ejpam-4832	227	5	→	→	SYM
ejpam-4832	227	6	y)(min{t1,t2},max{s1,s2	y)(min{t1,t2},max{s1,s2	PRON
ejpam-4832	227	7	}	}	PUNCT
ejpam-4832	227	8	)	)	PUNCT
ejpam-4832	228	1	q	q	PROPN
ejpam-4832	229	1	i	i	NOUN
ejpam-4832	229	2	)	)	PUNCT
ejpam-4832	229	3	(	(	PUNCT
ejpam-4832	229	4	28	28	NUM
ejpam-4832	229	5	)	)	PUNCT
ejpam-4832	229	6	for	for	ADP
ejpam-4832	229	7	all	all	DET
ejpam-4832	229	8	(	(	PUNCT
ejpam-4832	229	9	ti	ti	NOUN
ejpam-4832	229	10	,	,	PUNCT
ejpam-4832	229	11	si	si	ADJ
ejpam-4832	229	12	)	)	PUNCT
ejpam-4832	229	13	∈	∈	PROPN
ejpam-4832	229	14	(	(	PUNCT
ejpam-4832	229	15	0	0	NUM
ejpam-4832	229	16	,	,	PUNCT
ejpam-4832	229	17	1]×	1]×	NUM
ejpam-4832	230	1	[	[	X
ejpam-4832	230	2	0	0	NUM
ejpam-4832	230	3	,	,	PUNCT
ejpam-4832	230	4	1	1	NUM
ejpam-4832	230	5	)	)	PUNCT
ejpam-4832	230	6	for	for	ADP
ejpam-4832	230	7	i	i	PRON
ejpam-4832	230	8	=	=	SYM
ejpam-4832	230	9	1	1	NUM
ejpam-4832	230	10	,	,	PUNCT
ejpam-4832	230	11	2	2	NUM
ejpam-4832	230	12	,	,	PUNCT
ejpam-4832	230	13	then	then	ADV
ejpam-4832	230	14	its	its	PRON
ejpam-4832	230	15	intuitionistic	intuitionistic	ADJ
ejpam-4832	230	16	support	support	NOUN
ejpam-4832	230	17	i(0,1	i(0,1	NOUN
ejpam-4832	230	18	)	)	PUNCT
ejpam-4832	230	19	is	be	AUX
ejpam-4832	230	20	an	an	DET
ejpam-4832	230	21	ordered	order	VERB
ejpam-4832	230	22	subalgebra	subalgebra	NOUN
ejpam-4832	230	23	of	of	ADP
ejpam-4832	230	24	x	x	X
ejpam-4832	230	25	:	:	PUNCT
ejpam-4832	230	26	=	=	SYM
ejpam-4832	230	27	(	(	PUNCT
ejpam-4832	230	28	x	x	X
ejpam-4832	230	29	,	,	PUNCT
ejpam-4832	230	30	→	→	SYM
ejpam-4832	230	31	,	,	PUNCT
ejpam-4832	230	32	e	e	NOUN
ejpam-4832	230	33	,	,	PUNCT
ejpam-4832	230	34	≤x	≤x	PROPN
ejpam-4832	230	35	)	)	PUNCT
ejpam-4832	230	36	.	.	PUNCT
ejpam-4832	231	1	proof	proof	NOUN
ejpam-4832	231	2	.	.	PUNCT
ejpam-4832	232	1	let	let	VERB
ejpam-4832	232	2	x	x	PRON
ejpam-4832	232	3	,	,	PUNCT
ejpam-4832	232	4	y	y	PROPN
ejpam-4832	232	5	∈	∈	PROPN
ejpam-4832	232	6	x	x	AUX
ejpam-4832	232	7	be	be	AUX
ejpam-4832	232	8	such	such	ADJ
ejpam-4832	232	9	that	that	SCONJ
ejpam-4832	232	10	e	e	PROPN
ejpam-4832	232	11	≤x	≤x	PROPN
ejpam-4832	232	12	x	x	X
ejpam-4832	232	13	,	,	PUNCT
ejpam-4832	232	14	e	e	PROPN
ejpam-4832	232	15	≤x	≤x	VERB
ejpam-4832	232	16	y	y	PROPN
ejpam-4832	232	17	and	and	CCONJ
ejpam-4832	232	18	x	x	NOUN
ejpam-4832	232	19	,	,	PUNCT
ejpam-4832	232	20	y	y	PROPN
ejpam-4832	232	21	∈	∈	PROPN
ejpam-4832	232	22	i(0,1	i(0,1	PROPN
ejpam-4832	232	23	)	)	PUNCT
ejpam-4832	232	24	.	.	PUNCT
ejpam-4832	233	1	then	then	ADV
ejpam-4832	233	2	(	(	PUNCT
ejpam-4832	233	3	fi(x	fi(x	NUM
ejpam-4832	233	4	)	)	PUNCT
ejpam-4832	233	5	,	,	PUNCT
ejpam-4832	233	6	gi(x	gi(x	PROPN
ejpam-4832	233	7	)	)	PUNCT
ejpam-4832	233	8	)	)	PUNCT
ejpam-4832	233	9	,	,	PUNCT
ejpam-4832	233	10	(	(	PUNCT
ejpam-4832	233	11	fi(y	fi(y	NOUN
ejpam-4832	233	12	)	)	PUNCT
ejpam-4832	233	13	,	,	PUNCT
ejpam-4832	233	14	gi(y	gi(y	NOUN
ejpam-4832	233	15	)	)	PUNCT
ejpam-4832	233	16	)	)	PUNCT
ejpam-4832	234	1	∈	∈	PROPN
ejpam-4832	234	2	(	(	PUNCT
ejpam-4832	234	3	0	0	NUM
ejpam-4832	234	4	,	,	PUNCT
ejpam-4832	234	5	1	1	NUM
ejpam-4832	234	6	]	]	SYM
ejpam-4832	234	7	×	×	NOUN
ejpam-4832	234	8	[	[	X
ejpam-4832	234	9	0	0	NUM
ejpam-4832	234	10	,	,	PUNCT
ejpam-4832	234	11	1	1	NUM
ejpam-4832	234	12	)	)	PUNCT
ejpam-4832	234	13	,	,	PUNCT
ejpam-4832	234	14	and	and	CCONJ
ejpam-4832	234	15	so	so	ADV
ejpam-4832	234	16	fi(x	fi(x	NUM
ejpam-4832	234	17	)	)	PUNCT
ejpam-4832	235	1	+	+	CCONJ
ejpam-4832	235	2	1	1	NUM
ejpam-4832	235	3	>	>	SYM
ejpam-4832	235	4	1	1	NUM
ejpam-4832	235	5	,	,	PUNCT
ejpam-4832	235	6	gi(x	gi(x	PUNCT
ejpam-4832	235	7	)	)	PUNCT
ejpam-4832	236	1	+	+	CCONJ
ejpam-4832	236	2	0	0	NUM
ejpam-4832	236	3	<	<	X
ejpam-4832	236	4	1	1	NUM
ejpam-4832	236	5	,	,	PUNCT
ejpam-4832	236	6	fi(y	fi(y	NOUN
ejpam-4832	236	7	)	)	PUNCT
ejpam-4832	236	8	+	+	CCONJ
ejpam-4832	236	9	1	1	NUM
ejpam-4832	236	10	>	>	SYM
ejpam-4832	236	11	1	1	NUM
ejpam-4832	236	12	,	,	PUNCT
ejpam-4832	236	13	and	and	CCONJ
ejpam-4832	236	14	gi(y	gi(y	NOUN
ejpam-4832	236	15	)	)	PUNCT
ejpam-4832	237	1	+	+	CCONJ
ejpam-4832	237	2	0	0	NUM
ejpam-4832	237	3	<	<	X
ejpam-4832	238	1	1	1	NUM
ejpam-4832	238	2	.	.	PUNCT
ejpam-4832	239	1	this	this	PRON
ejpam-4832	239	2	shows	show	VERB
ejpam-4832	239	3	that	that	SCONJ
ejpam-4832	239	4	x(1,0	x(1,0	NOUN
ejpam-4832	239	5	)	)	PUNCT
ejpam-4832	239	6	q	q	PROPN
ejpam-4832	240	1	i	i	PROPN
ejpam-4832	240	2	and	and	CCONJ
ejpam-4832	240	3	y(1,0	y(1,0	NUM
ejpam-4832	240	4	)	)	PUNCT
ejpam-4832	240	5	q	q	PROPN
ejpam-4832	240	6	i.	i.	NOUN
ejpam-4832	240	7	using	use	VERB
ejpam-4832	240	8	(	(	PUNCT
ejpam-4832	240	9	28	28	NUM
ejpam-4832	240	10	)	)	PUNCT
ejpam-4832	240	11	,	,	PUNCT
ejpam-4832	240	12	we	we	PRON
ejpam-4832	240	13	have	have	VERB
ejpam-4832	240	14	(	(	PUNCT
ejpam-4832	240	15	x	x	X
ejpam-4832	240	16	→	→	SYM
ejpam-4832	240	17	y)(1,0	y)(1,0	PROPN
ejpam-4832	240	18	)	)	PUNCT
ejpam-4832	240	19	q	q	PROPN
ejpam-4832	240	20	i.	i.	NOUN
ejpam-4832	240	21	if	if	SCONJ
ejpam-4832	240	22	fi(x	fi(x	PROPN
ejpam-4832	240	23	→	→	SYM
ejpam-4832	240	24	y	y	X
ejpam-4832	240	25	)	)	PUNCT
ejpam-4832	240	26	=	=	SYM
ejpam-4832	240	27	0	0	NUM
ejpam-4832	240	28	or	or	CCONJ
ejpam-4832	240	29	gi(x	gi(x	NUM
ejpam-4832	240	30	→	→	SYM
ejpam-4832	240	31	y	y	X
ejpam-4832	240	32	)	)	PUNCT
ejpam-4832	240	33	=	=	SYM
ejpam-4832	241	1	1	1	NUM
ejpam-4832	241	2	,	,	PUNCT
ejpam-4832	241	3	then	then	ADV
ejpam-4832	241	4	fi(x	fi(x	NUM
ejpam-4832	241	5	→	→	SYM
ejpam-4832	241	6	y	y	X
ejpam-4832	241	7	)	)	PUNCT
ejpam-4832	241	8	+	+	CCONJ
ejpam-4832	241	9	1	1	NUM
ejpam-4832	241	10	=	=	SYM
ejpam-4832	241	11	1	1	NUM
ejpam-4832	241	12	or	or	CCONJ
ejpam-4832	241	13	gi(x	gi(x	NOUN
ejpam-4832	241	14	→	→	SYM
ejpam-4832	241	15	y	y	X
ejpam-4832	241	16	)	)	PUNCT
ejpam-4832	241	17	+	+	CCONJ
ejpam-4832	241	18	1	1	NUM
ejpam-4832	241	19	=	=	SYM
ejpam-4832	241	20	2	2	NUM
ejpam-4832	241	21	,	,	PUNCT
ejpam-4832	241	22	i.e.	i.e.	X
ejpam-4832	241	23	,	,	PUNCT
ejpam-4832	241	24	(	(	PUNCT
ejpam-4832	241	25	x	x	X
ejpam-4832	241	26	→	→	SYM
ejpam-4832	241	27	y)(1,0	y)(1,0	PROPN
ejpam-4832	241	28	)	)	PUNCT
ejpam-4832	241	29	q	q	PROPN
ejpam-4832	242	1	i	i	PRON
ejpam-4832	242	2	,	,	PUNCT
ejpam-4832	242	3	a	a	DET
ejpam-4832	242	4	contradiction	contradiction	NOUN
ejpam-4832	242	5	.	.	PUNCT
ejpam-4832	243	1	hence	hence	ADV
ejpam-4832	243	2	fi(x	fi(x	NUM
ejpam-4832	243	3	→	→	SYM
ejpam-4832	243	4	y	y	X
ejpam-4832	243	5	)	)	PUNCT
ejpam-4832	243	6	>	>	X
ejpam-4832	243	7	0	0	PUNCT
ejpam-4832	244	1	and	and	CCONJ
ejpam-4832	244	2	gi(x	gi(x	NUM
ejpam-4832	244	3	→	→	SYM
ejpam-4832	244	4	y	y	X
ejpam-4832	244	5	)	)	PUNCT
ejpam-4832	244	6	<	<	X
ejpam-4832	244	7	1	1	NUM
ejpam-4832	244	8	,	,	PUNCT
ejpam-4832	244	9	that	that	ADV
ejpam-4832	244	10	is	is	ADV
ejpam-4832	244	11	,	,	PUNCT
ejpam-4832	244	12	x	x	PUNCT
ejpam-4832	244	13	→	→	SYM
ejpam-4832	244	14	y	y	PROPN
ejpam-4832	244	15	∈	∈	PROPN
ejpam-4832	244	16	i(0,1	i(0,1	PROPN
ejpam-4832	244	17	)	)	PUNCT
ejpam-4832	244	18	.	.	PUNCT
ejpam-4832	245	1	therefore	therefore	ADV
ejpam-4832	245	2	i(0,1	i(0,1	NOUN
ejpam-4832	245	3	)	)	PUNCT
ejpam-4832	245	4	is	be	AUX
ejpam-4832	245	5	an	an	DET
ejpam-4832	245	6	ordered	order	VERB
ejpam-4832	245	7	subalgebra	subalgebra	NOUN
ejpam-4832	245	8	of	of	ADP
ejpam-4832	245	9	x	x	X
ejpam-4832	245	10	:	:	PUNCT
ejpam-4832	245	11	=	=	SYM
ejpam-4832	245	12	(	(	PUNCT
ejpam-4832	245	13	x	x	X
ejpam-4832	245	14	,	,	PUNCT
ejpam-4832	245	15	→	→	SYM
ejpam-4832	245	16	,	,	PUNCT
ejpam-4832	245	17	e	e	NOUN
ejpam-4832	245	18	,	,	PUNCT
ejpam-4832	245	19	≤x	≤x	PROPN
ejpam-4832	245	20	)	)	PUNCT
ejpam-4832	245	21	.	.	PUNCT
ejpam-4832	246	1	e.	e.	PROPN
ejpam-4832	246	2	h.	h.	PROPN
ejpam-4832	246	3	roh	roh	PROPN
ejpam-4832	246	4	,	,	PUNCT
ejpam-4832	246	5	e.	e.	PROPN
ejpam-4832	246	6	yang	yang	PROPN
ejpam-4832	246	7	,	,	PUNCT
ejpam-4832	246	8	y.	y.	PROPN
ejpam-4832	246	9	b.	b.	PROPN
ejpam-4832	246	10	jun	jun	PROPN
ejpam-4832	246	11	/	/	SYM
ejpam-4832	246	12	eur	eur	PROPN
ejpam-4832	246	13	.	.	PUNCT
ejpam-4832	247	1	j.	j.	PROPN
ejpam-4832	247	2	pure	pure	PROPN
ejpam-4832	247	3	appl	appl	PROPN
ejpam-4832	247	4	.	.	PROPN
ejpam-4832	247	5	math	math	PROPN
ejpam-4832	247	6	,	,	PUNCT
ejpam-4832	247	7	16	16	NUM
ejpam-4832	247	8	(	(	PUNCT
ejpam-4832	247	9	3	3	NUM
ejpam-4832	247	10	)	)	PUNCT
ejpam-4832	247	11	(	(	PUNCT
ejpam-4832	247	12	2023	2023	NUM
ejpam-4832	247	13	)	)	PUNCT
ejpam-4832	247	14	,	,	PUNCT
ejpam-4832	247	15	1342	1342	NUM
ejpam-4832	247	16	-	-	SYM
ejpam-4832	247	17	1358	1358	NUM
ejpam-4832	247	18	1351	1351	NUM
ejpam-4832	247	19	theorem	theorem	VERB
ejpam-4832	247	20	9	9	NUM
ejpam-4832	247	21	.	.	PUNCT
ejpam-4832	247	22	given	give	VERB
ejpam-4832	247	23	a	a	DET
ejpam-4832	247	24	nonempty	nonempty	ADJ
ejpam-4832	247	25	subset	subset	VERB
ejpam-4832	247	26	b	b	PROPN
ejpam-4832	247	27	of	of	ADP
ejpam-4832	247	28	x	x	PRON
ejpam-4832	247	29	,	,	PUNCT
ejpam-4832	247	30	let	let	VERB
ejpam-4832	247	31	ib	ib	NOUN
ejpam-4832	247	32	:	:	PUNCT
ejpam-4832	247	33	=	=	X
ejpam-4832	247	34	{	{	PUNCT
ejpam-4832	247	35	⟨x	⟨x	NUM
ejpam-4832	247	36	,	,	PUNCT
ejpam-4832	247	37	fb	fb	INTJ
ejpam-4832	247	38	i	i	PRON
ejpam-4832	247	39	,	,	PUNCT
ejpam-4832	247	40	gbi	gbi	PROPN
ejpam-4832	247	41	⟩	⟩	PROPN
ejpam-4832	248	1	|	|	ADV
ejpam-4832	248	2	x	x	SYM
ejpam-4832	248	3	∈	∈	NOUN
ejpam-4832	248	4	x	x	VERB
ejpam-4832	248	5	}	}	PUNCT
ejpam-4832	248	6	be	be	AUX
ejpam-4832	248	7	an	an	DET
ejpam-4832	248	8	intuitionistic	intuitionistic	ADJ
ejpam-4832	248	9	fuzzy	fuzzy	ADJ
ejpam-4832	248	10	set	set	NOUN
ejpam-4832	248	11	in	in	ADP
ejpam-4832	248	12	x	x	PUNCT
ejpam-4832	248	13	in	in	ADP
ejpam-4832	248	14	which	which	PRON
ejpam-4832	248	15	fb	fb	INTJ
ejpam-4832	248	16	i	i	PRON
ejpam-4832	248	17	and	and	CCONJ
ejpam-4832	248	18	gbi	gbi	PROPN
ejpam-4832	248	19	are	be	AUX
ejpam-4832	248	20	given	give	VERB
ejpam-4832	248	21	as	as	SCONJ
ejpam-4832	248	22	follows	follow	VERB
ejpam-4832	248	23	:	:	PUNCT
ejpam-4832	248	24	fb	fb	INTJ
ejpam-4832	248	25	i	i	PRON
ejpam-4832	248	26	:	:	PUNCT
ejpam-4832	249	1	x	x	X
ejpam-4832	249	2	→	→	SYM
ejpam-4832	249	3	[	[	X
ejpam-4832	249	4	0	0	NUM
ejpam-4832	249	5	,	,	PUNCT
ejpam-4832	249	6	1	1	NUM
ejpam-4832	249	7	]	]	PUNCT
ejpam-4832	249	8	,	,	PUNCT
ejpam-4832	249	9	x	x	SYM
ejpam-4832	249	10	7→	7→	X
ejpam-4832	249	11	{	{	PUNCT
ejpam-4832	249	12	t1	t1	VERB
ejpam-4832	249	13	if	if	SCONJ
ejpam-4832	249	14	x	x	PROPN
ejpam-4832	249	15	∈	∈	PROPN
ejpam-4832	249	16	b	b	PROPN
ejpam-4832	249	17	,	,	PUNCT
ejpam-4832	249	18	t2	t2	NOUN
ejpam-4832	249	19	otherwise	otherwise	ADV
ejpam-4832	249	20	,	,	PUNCT
ejpam-4832	249	21	and	and	CCONJ
ejpam-4832	249	22	gbi	gbi	NOUN
ejpam-4832	249	23	:	:	PUNCT
ejpam-4832	250	1	x	x	X
ejpam-4832	250	2	→	→	PUNCT
ejpam-4832	250	3	[	[	X
ejpam-4832	250	4	0	0	NUM
ejpam-4832	250	5	,	,	PUNCT
ejpam-4832	250	6	1	1	NUM
ejpam-4832	250	7	]	]	PUNCT
ejpam-4832	250	8	,	,	PUNCT
ejpam-4832	250	9	x	x	SYM
ejpam-4832	250	10	7→	7→	X
ejpam-4832	250	11	{	{	PUNCT
ejpam-4832	250	12	s1	s1	NOUN
ejpam-4832	250	13	if	if	SCONJ
ejpam-4832	250	14	x	x	PROPN
ejpam-4832	250	15	∈	∈	PROPN
ejpam-4832	250	16	b	b	PROPN
ejpam-4832	250	17	,	,	PUNCT
ejpam-4832	250	18	s2	s2	NOUN
ejpam-4832	250	19	otherwise	otherwise	ADV
ejpam-4832	250	20	,	,	PUNCT
ejpam-4832	250	21	where	where	SCONJ
ejpam-4832	250	22	t1	t1	NOUN
ejpam-4832	250	23	>	>	X
ejpam-4832	250	24	t2	t2	PROPN
ejpam-4832	250	25	in	in	ADP
ejpam-4832	250	26	(	(	PUNCT
ejpam-4832	250	27	0	0	NUM
ejpam-4832	250	28	,	,	PUNCT
ejpam-4832	250	29	1	1	NUM
ejpam-4832	250	30	]	]	PUNCT
ejpam-4832	250	31	and	and	CCONJ
ejpam-4832	250	32	s1	s1	PROPN
ejpam-4832	250	33	<	<	X
ejpam-4832	250	34	s2	s2	NOUN
ejpam-4832	250	35	in	in	ADP
ejpam-4832	250	36	[	[	X
ejpam-4832	250	37	0	0	NUM
ejpam-4832	250	38	,	,	PUNCT
ejpam-4832	250	39	1	1	NUM
ejpam-4832	250	40	)	)	PUNCT
ejpam-4832	250	41	.	.	PUNCT
ejpam-4832	251	1	then	then	ADV
ejpam-4832	251	2	ib	ib	X
ejpam-4832	251	3	:	:	PUNCT
ejpam-4832	251	4	=	=	X
ejpam-4832	251	5	{	{	PUNCT
ejpam-4832	251	6	⟨x	⟨x	NUM
ejpam-4832	251	7	,	,	PUNCT
ejpam-4832	251	8	fb	fb	INTJ
ejpam-4832	251	9	i	i	PRON
ejpam-4832	251	10	,	,	PUNCT
ejpam-4832	251	11	gbi	gbi	PROPN
ejpam-4832	251	12	⟩	⟩	PROPN
ejpam-4832	252	1	|	|	ADV
ejpam-4832	252	2	x	x	SYM
ejpam-4832	252	3	∈	∈	NOUN
ejpam-4832	252	4	x	x	X
ejpam-4832	252	5	}	}	PUNCT
ejpam-4832	252	6	is	be	AUX
ejpam-4832	252	7	an	an	DET
ejpam-4832	252	8	intuitionistic	intuitionistic	ADJ
ejpam-4832	252	9	fuzzy	fuzzy	ADJ
ejpam-4832	252	10	ordered	order	VERB
ejpam-4832	252	11	subalgebra	subalgebra	NOUN
ejpam-4832	252	12	of	of	ADP
ejpam-4832	252	13	x	x	X
ejpam-4832	252	14	:	:	PUNCT
ejpam-4832	252	15	=	=	SYM
ejpam-4832	252	16	(	(	PUNCT
ejpam-4832	252	17	x	x	X
ejpam-4832	252	18	,	,	PUNCT
ejpam-4832	252	19	→	→	SYM
ejpam-4832	252	20	,	,	PUNCT
ejpam-4832	252	21	e	e	NOUN
ejpam-4832	252	22	,	,	PUNCT
ejpam-4832	252	23	≤x	≤x	PROPN
ejpam-4832	252	24	)	)	PUNCT
ejpam-4832	252	25	if	if	SCONJ
ejpam-4832	252	26	and	and	CCONJ
ejpam-4832	252	27	only	only	ADV
ejpam-4832	252	28	if	if	SCONJ
ejpam-4832	252	29	b	b	NOUN
ejpam-4832	252	30	is	be	AUX
ejpam-4832	252	31	an	an	DET
ejpam-4832	252	32	ordered	order	VERB
ejpam-4832	252	33	subalgebra	subalgebra	NOUN
ejpam-4832	252	34	of	of	ADP
ejpam-4832	252	35	x	x	X
ejpam-4832	252	36	:	:	PUNCT
ejpam-4832	252	37	=	=	SYM
ejpam-4832	252	38	(	(	PUNCT
ejpam-4832	252	39	x	x	X
ejpam-4832	252	40	,	,	PUNCT
ejpam-4832	252	41	→	→	SYM
ejpam-4832	252	42	,	,	PUNCT
ejpam-4832	252	43	e	e	NOUN
ejpam-4832	252	44	,	,	PUNCT
ejpam-4832	252	45	≤x	≤x	PROPN
ejpam-4832	252	46	)	)	PUNCT
ejpam-4832	252	47	.	.	PUNCT
ejpam-4832	253	1	proof	proof	NOUN
ejpam-4832	253	2	.	.	PUNCT
ejpam-4832	254	1	assume	assume	VERB
ejpam-4832	254	2	that	that	SCONJ
ejpam-4832	254	3	ib	ib	NOUN
ejpam-4832	254	4	:	:	PUNCT
ejpam-4832	254	5	=	=	X
ejpam-4832	254	6	{	{	PUNCT
ejpam-4832	254	7	⟨x	⟨x	NUM
ejpam-4832	254	8	,	,	PUNCT
ejpam-4832	255	1	fb	fb	INTJ
ejpam-4832	255	2	i	i	PRON
ejpam-4832	255	3	,	,	PUNCT
ejpam-4832	255	4	gbi	gbi	PROPN
ejpam-4832	255	5	⟩	⟩	PROPN
ejpam-4832	256	1	|	|	ADV
ejpam-4832	256	2	x	x	SYM
ejpam-4832	256	3	∈	∈	NOUN
ejpam-4832	256	4	x	x	X
ejpam-4832	256	5	}	}	PUNCT
ejpam-4832	256	6	is	be	AUX
ejpam-4832	256	7	an	an	DET
ejpam-4832	256	8	intuitionistic	intuitionistic	ADJ
ejpam-4832	256	9	fuzzy	fuzzy	ADJ
ejpam-4832	256	10	ordered	order	VERB
ejpam-4832	256	11	subalgebra	subalgebra	NOUN
ejpam-4832	256	12	of	of	ADP
ejpam-4832	256	13	x	x	X
ejpam-4832	256	14	:	:	PUNCT
ejpam-4832	256	15	=	=	SYM
ejpam-4832	256	16	(	(	PUNCT
ejpam-4832	256	17	x	x	X
ejpam-4832	256	18	,	,	PUNCT
ejpam-4832	256	19	→	→	SYM
ejpam-4832	256	20	,	,	PUNCT
ejpam-4832	256	21	e	e	NOUN
ejpam-4832	256	22	,	,	PUNCT
ejpam-4832	256	23	≤x	≤x	PROPN
ejpam-4832	256	24	)	)	PUNCT
ejpam-4832	256	25	.	.	PUNCT
ejpam-4832	257	1	let	let	VERB
ejpam-4832	257	2	x	x	PRON
ejpam-4832	257	3	,	,	PUNCT
ejpam-4832	257	4	y	y	PROPN
ejpam-4832	257	5	∈	∈	PROPN
ejpam-4832	257	6	x	x	AUX
ejpam-4832	257	7	be	be	AUX
ejpam-4832	257	8	such	such	ADJ
ejpam-4832	257	9	that	that	SCONJ
ejpam-4832	257	10	x	x	NOUN
ejpam-4832	257	11	,	,	PUNCT
ejpam-4832	257	12	y	y	PROPN
ejpam-4832	257	13	∈	∈	PROPN
ejpam-4832	257	14	b	b	PROPN
ejpam-4832	257	15	,	,	PUNCT
ejpam-4832	257	16	e	e	X
ejpam-4832	257	17	≤e	≤e	VERB
ejpam-4832	257	18	x	x	PUNCT
ejpam-4832	257	19	and	and	CCONJ
ejpam-4832	257	20	e	e	AUX
ejpam-4832	257	21	≤e	≤e	VERB
ejpam-4832	257	22	y.	y.	NOUN
ejpam-4832	257	23	using	use	VERB
ejpam-4832	257	24	theorem	theorem	NOUN
ejpam-4832	257	25	3	3	NUM
ejpam-4832	257	26	,	,	PUNCT
ejpam-4832	257	27	we	we	PRON
ejpam-4832	257	28	have	have	VERB
ejpam-4832	257	29	fb	fb	INTJ
ejpam-4832	258	1	i	i	PRON
ejpam-4832	258	2	(	(	PUNCT
ejpam-4832	258	3	x	x	PROPN
ejpam-4832	258	4	→	→	SYM
ejpam-4832	258	5	y	y	NOUN
ejpam-4832	258	6	)	)	PUNCT
ejpam-4832	258	7	≥	≥	NOUN
ejpam-4832	258	8	min{fb	min{fb	NUM
ejpam-4832	258	9	i	i	PRON
ejpam-4832	258	10	(	(	PUNCT
ejpam-4832	258	11	x	x	NOUN
ejpam-4832	258	12	)	)	PUNCT
ejpam-4832	258	13	,	,	PUNCT
ejpam-4832	258	14	fb	fb	INTJ
ejpam-4832	258	15	i	i	PRON
ejpam-4832	258	16	(	(	PUNCT
ejpam-4832	258	17	y	y	NOUN
ejpam-4832	258	18	)	)	PUNCT
ejpam-4832	258	19	}	}	PUNCT
ejpam-4832	258	20	=	=	SYM
ejpam-4832	258	21	t1	t1	NOUN
ejpam-4832	258	22	and	and	CCONJ
ejpam-4832	258	23	gbi	gbi	PROPN
ejpam-4832	258	24	(	(	PUNCT
ejpam-4832	258	25	x	x	PROPN
ejpam-4832	258	26	→	→	SYM
ejpam-4832	258	27	y	y	NOUN
ejpam-4832	258	28	)	)	PUNCT
ejpam-4832	258	29	≤	≤	NUM
ejpam-4832	258	30	max{gbi	max{gbi	NOUN
ejpam-4832	258	31	(	(	PUNCT
ejpam-4832	258	32	x	x	NOUN
ejpam-4832	258	33	)	)	PUNCT
ejpam-4832	258	34	,	,	PUNCT
ejpam-4832	258	35	gbi	gbi	PROPN
ejpam-4832	258	36	(	(	PUNCT
ejpam-4832	258	37	y	y	NOUN
ejpam-4832	258	38	)	)	PUNCT
ejpam-4832	258	39	}	}	PUNCT
ejpam-4832	258	40	=	=	SYM
ejpam-4832	258	41	s1	s1	NOUN
ejpam-4832	258	42	.	.	PUNCT
ejpam-4832	259	1	hence	hence	ADV
ejpam-4832	259	2	fb	fb	INTJ
ejpam-4832	260	1	i	i	PRON
ejpam-4832	260	2	(	(	PUNCT
ejpam-4832	260	3	x	x	PROPN
ejpam-4832	260	4	→	→	SYM
ejpam-4832	260	5	y	y	NOUN
ejpam-4832	260	6	)	)	PUNCT
ejpam-4832	260	7	=	=	NOUN
ejpam-4832	260	8	t1	t1	NOUN
ejpam-4832	260	9	and	and	CCONJ
ejpam-4832	260	10	gbi	gbi	PROPN
ejpam-4832	260	11	(	(	PUNCT
ejpam-4832	260	12	x	x	PROPN
ejpam-4832	260	13	→	→	SYM
ejpam-4832	260	14	y	y	NOUN
ejpam-4832	260	15	)	)	PUNCT
ejpam-4832	260	16	=	=	SYM
ejpam-4832	260	17	s1	s1	NOUN
ejpam-4832	260	18	,	,	PUNCT
ejpam-4832	260	19	and	and	CCONJ
ejpam-4832	260	20	so	so	ADV
ejpam-4832	260	21	x	x	X
ejpam-4832	260	22	→	→	SYM
ejpam-4832	260	23	y	y	PROPN
ejpam-4832	260	24	∈	∈	PROPN
ejpam-4832	260	25	b.	b.	PROPN
ejpam-4832	261	1	therefore	therefore	ADV
ejpam-4832	261	2	b	b	PROPN
ejpam-4832	261	3	is	be	AUX
ejpam-4832	261	4	an	an	DET
ejpam-4832	261	5	ordered	order	VERB
ejpam-4832	261	6	subalgebra	subalgebra	NOUN
ejpam-4832	261	7	of	of	ADP
ejpam-4832	261	8	x	x	X
ejpam-4832	261	9	:	:	PUNCT
ejpam-4832	261	10	=	=	SYM
ejpam-4832	261	11	(	(	PUNCT
ejpam-4832	261	12	x	x	X
ejpam-4832	261	13	,	,	PUNCT
ejpam-4832	261	14	→	→	SYM
ejpam-4832	261	15	,	,	PUNCT
ejpam-4832	261	16	e	e	NOUN
ejpam-4832	261	17	,	,	PUNCT
ejpam-4832	261	18	≤x	≤x	PROPN
ejpam-4832	261	19	)	)	PUNCT
ejpam-4832	261	20	.	.	PUNCT
ejpam-4832	262	1	conversely	conversely	ADV
ejpam-4832	262	2	,	,	PUNCT
ejpam-4832	262	3	suppose	suppose	VERB
ejpam-4832	262	4	that	that	SCONJ
ejpam-4832	262	5	b	b	PROPN
ejpam-4832	262	6	is	be	AUX
ejpam-4832	262	7	an	an	DET
ejpam-4832	262	8	ordered	order	VERB
ejpam-4832	262	9	subalgebra	subalgebra	NOUN
ejpam-4832	262	10	of	of	ADP
ejpam-4832	262	11	x	x	X
ejpam-4832	262	12	:	:	PUNCT
ejpam-4832	262	13	=	=	SYM
ejpam-4832	262	14	(	(	PUNCT
ejpam-4832	262	15	x	x	X
ejpam-4832	262	16	,	,	PUNCT
ejpam-4832	262	17	→	→	SYM
ejpam-4832	262	18	,	,	PUNCT
ejpam-4832	262	19	e	e	NOUN
ejpam-4832	262	20	,	,	PUNCT
ejpam-4832	262	21	≤x	≤x	PROPN
ejpam-4832	262	22	)	)	PUNCT
ejpam-4832	262	23	.	.	PUNCT
ejpam-4832	263	1	let	let	VERB
ejpam-4832	263	2	x	x	PRON
ejpam-4832	263	3	,	,	PUNCT
ejpam-4832	263	4	y	y	PROPN
ejpam-4832	263	5	∈	∈	PROPN
ejpam-4832	263	6	x	x	AUX
ejpam-4832	263	7	be	be	AUX
ejpam-4832	263	8	such	such	ADJ
ejpam-4832	263	9	that	that	SCONJ
ejpam-4832	263	10	e	e	NOUN
ejpam-4832	263	11	≤e	≤e	VERB
ejpam-4832	263	12	x	x	PUNCT
ejpam-4832	263	13	and	and	CCONJ
ejpam-4832	263	14	e	e	AUX
ejpam-4832	263	15	≤e	≤e	VERB
ejpam-4832	263	16	y.	y.	NOUN
ejpam-4832	264	1	if	if	SCONJ
ejpam-4832	264	2	x	x	PROPN
ejpam-4832	264	3	/∈	/∈	PROPN
ejpam-4832	264	4	b	b	X
ejpam-4832	264	5	(	(	PUNCT
ejpam-4832	264	6	or	or	CCONJ
ejpam-4832	264	7	y	y	PROPN
ejpam-4832	264	8	/∈	/∈	PUNCT
ejpam-4832	265	1	b	b	X
ejpam-4832	265	2	)	)	PUNCT
ejpam-4832	265	3	,	,	PUNCT
ejpam-4832	265	4	then	then	ADV
ejpam-4832	265	5	fb	fb	INTJ
ejpam-4832	265	6	i	i	PRON
ejpam-4832	265	7	(	(	PUNCT
ejpam-4832	265	8	x	x	X
ejpam-4832	265	9	)	)	PUNCT
ejpam-4832	265	10	=	=	SYM
ejpam-4832	265	11	t2	t2	NOUN
ejpam-4832	265	12	(	(	PUNCT
ejpam-4832	265	13	or	or	CCONJ
ejpam-4832	265	14	fb	fb	INTJ
ejpam-4832	266	1	i	i	INTJ
ejpam-4832	266	2	(	(	PUNCT
ejpam-4832	266	3	y	y	NOUN
ejpam-4832	266	4	)	)	PUNCT
ejpam-4832	266	5	=	=	SYM
ejpam-4832	266	6	t2	t2	PROPN
ejpam-4832	266	7	)	)	PUNCT
ejpam-4832	266	8	and	and	CCONJ
ejpam-4832	266	9	gbi	gbi	PROPN
ejpam-4832	266	10	(	(	PUNCT
ejpam-4832	266	11	x	x	NOUN
ejpam-4832	266	12	)	)	PUNCT
ejpam-4832	266	13	=	=	SYM
ejpam-4832	266	14	s2	s2	NOUN
ejpam-4832	266	15	(	(	PUNCT
ejpam-4832	266	16	or	or	CCONJ
ejpam-4832	266	17	gbi	gbi	PROPN
ejpam-4832	266	18	(	(	PUNCT
ejpam-4832	266	19	y	y	NOUN
ejpam-4832	266	20	)	)	PUNCT
ejpam-4832	266	21	=	=	SYM
ejpam-4832	266	22	s2	s2	PROPN
ejpam-4832	266	23	)	)	PUNCT
ejpam-4832	266	24	.	.	PUNCT
ejpam-4832	267	1	thus	thus	ADV
ejpam-4832	267	2	fb	fb	INTJ
ejpam-4832	267	3	i	i	PRON
ejpam-4832	267	4	(	(	PUNCT
ejpam-4832	267	5	x	x	PROPN
ejpam-4832	267	6	→	→	SYM
ejpam-4832	267	7	y	y	PROPN
ejpam-4832	267	8	)	)	PUNCT
ejpam-4832	267	9	≥	≥	NOUN
ejpam-4832	267	10	t2	t2	NOUN
ejpam-4832	267	11	=	=	PUNCT
ejpam-4832	267	12	min{fb	min{fb	X
ejpam-4832	267	13	i	i	PRON
ejpam-4832	267	14	(	(	PUNCT
ejpam-4832	267	15	x	x	NOUN
ejpam-4832	267	16	)	)	PUNCT
ejpam-4832	267	17	,	,	PUNCT
ejpam-4832	268	1	fb	fb	INTJ
ejpam-4832	268	2	i	i	PRON
ejpam-4832	268	3	(	(	PUNCT
ejpam-4832	268	4	y	y	NOUN
ejpam-4832	268	5	)	)	PUNCT
ejpam-4832	268	6	}	}	PUNCT
ejpam-4832	268	7	and	and	CCONJ
ejpam-4832	268	8	gbi	gbi	PROPN
ejpam-4832	268	9	(	(	PUNCT
ejpam-4832	268	10	x	x	PROPN
ejpam-4832	268	11	→	→	SYM
ejpam-4832	268	12	y	y	NOUN
ejpam-4832	268	13	)	)	PUNCT
ejpam-4832	268	14	≤	≤	NOUN
ejpam-4832	268	15	s2	s2	NOUN
ejpam-4832	268	16	=	=	SYM
ejpam-4832	268	17	max{gbi	max{gbi	PROPN
ejpam-4832	268	18	(	(	PUNCT
ejpam-4832	268	19	x	x	NOUN
ejpam-4832	268	20	)	)	PUNCT
ejpam-4832	268	21	,	,	PUNCT
ejpam-4832	268	22	gbi	gbi	PROPN
ejpam-4832	268	23	(	(	PUNCT
ejpam-4832	268	24	y	y	NOUN
ejpam-4832	268	25	)	)	PUNCT
ejpam-4832	268	26	}	}	PUNCT
ejpam-4832	268	27	.	.	PUNCT
ejpam-4832	269	1	if	if	SCONJ
ejpam-4832	269	2	x	x	SYM
ejpam-4832	269	3	∈	∈	PROPN
ejpam-4832	269	4	b	b	PROPN
ejpam-4832	269	5	and	and	CCONJ
ejpam-4832	269	6	y	y	PROPN
ejpam-4832	269	7	∈	∈	PROPN
ejpam-4832	269	8	b	b	PROPN
ejpam-4832	269	9	,	,	PUNCT
ejpam-4832	269	10	then	then	ADV
ejpam-4832	269	11	x	x	X
ejpam-4832	269	12	→	→	SYM
ejpam-4832	269	13	y	y	PROPN
ejpam-4832	269	14	∈	∈	PROPN
ejpam-4832	269	15	b	b	PROPN
ejpam-4832	269	16	since	since	SCONJ
ejpam-4832	269	17	b	b	PROPN
ejpam-4832	269	18	is	be	AUX
ejpam-4832	269	19	an	an	DET
ejpam-4832	269	20	ordered	order	VERB
ejpam-4832	269	21	subalgebra	subalgebra	NOUN
ejpam-4832	269	22	of	of	ADP
ejpam-4832	269	23	x	x	X
ejpam-4832	269	24	:	:	PUNCT
ejpam-4832	269	25	=	=	SYM
ejpam-4832	269	26	(	(	PUNCT
ejpam-4832	269	27	x	x	X
ejpam-4832	269	28	,	,	PUNCT
ejpam-4832	269	29	→	→	SYM
ejpam-4832	269	30	,	,	PUNCT
ejpam-4832	269	31	e	e	NOUN
ejpam-4832	269	32	,	,	PUNCT
ejpam-4832	269	33	≤x	≤x	PROPN
ejpam-4832	269	34	)	)	PUNCT
ejpam-4832	269	35	.	.	PUNCT
ejpam-4832	270	1	thus	thus	ADV
ejpam-4832	270	2	fb	fb	INTJ
ejpam-4832	271	1	i	i	PRON
ejpam-4832	271	2	(	(	PUNCT
ejpam-4832	271	3	x	x	PROPN
ejpam-4832	271	4	→	→	SYM
ejpam-4832	271	5	y	y	NOUN
ejpam-4832	271	6	)	)	PUNCT
ejpam-4832	271	7	=	=	SYM
ejpam-4832	271	8	t1	t1	NOUN
ejpam-4832	271	9	=	=	PUNCT
ejpam-4832	271	10	min{fb	min{fb	X
ejpam-4832	271	11	i	i	PRON
ejpam-4832	271	12	(	(	PUNCT
ejpam-4832	271	13	x	x	NOUN
ejpam-4832	271	14	)	)	PUNCT
ejpam-4832	271	15	,	,	PUNCT
ejpam-4832	271	16	fb	fb	INTJ
ejpam-4832	271	17	i	i	PRON
ejpam-4832	271	18	(	(	PUNCT
ejpam-4832	271	19	y	y	NOUN
ejpam-4832	271	20	)	)	PUNCT
ejpam-4832	271	21	}	}	PUNCT
ejpam-4832	271	22	and	and	CCONJ
ejpam-4832	271	23	gbi	gbi	PROPN
ejpam-4832	271	24	(	(	PUNCT
ejpam-4832	271	25	x	x	PROPN
ejpam-4832	271	26	→	→	SYM
ejpam-4832	271	27	y	y	NOUN
ejpam-4832	271	28	)	)	PUNCT
ejpam-4832	271	29	=	=	SYM
ejpam-4832	271	30	s1	s1	NOUN
ejpam-4832	271	31	=	=	SYM
ejpam-4832	271	32	max{gbi	max{gbi	PROPN
ejpam-4832	271	33	(	(	PUNCT
ejpam-4832	271	34	x	x	NOUN
ejpam-4832	271	35	)	)	PUNCT
ejpam-4832	271	36	,	,	PUNCT
ejpam-4832	271	37	gbi	gbi	PROPN
ejpam-4832	271	38	(	(	PUNCT
ejpam-4832	271	39	y	y	NOUN
ejpam-4832	271	40	)	)	PUNCT
ejpam-4832	271	41	}	}	PUNCT
ejpam-4832	271	42	.	.	PUNCT
ejpam-4832	272	1	it	it	PRON
ejpam-4832	272	2	follows	follow	VERB
ejpam-4832	272	3	from	from	ADP
ejpam-4832	272	4	theorem	theorem	ADJ
ejpam-4832	272	5	3	3	NUM
ejpam-4832	272	6	that	that	PRON
ejpam-4832	272	7	ib	ib	VERB
ejpam-4832	272	8	:	:	PUNCT
ejpam-4832	272	9	=	=	X
ejpam-4832	272	10	{	{	PUNCT
ejpam-4832	272	11	⟨x	⟨x	NUM
ejpam-4832	272	12	,	,	PUNCT
ejpam-4832	273	1	fb	fb	INTJ
ejpam-4832	273	2	i	i	PRON
ejpam-4832	273	3	,	,	PUNCT
ejpam-4832	273	4	gbi	gbi	PROPN
ejpam-4832	273	5	⟩	⟩	PROPN
ejpam-4832	274	1	|	|	ADV
ejpam-4832	274	2	x	x	SYM
ejpam-4832	274	3	∈	∈	NOUN
ejpam-4832	274	4	x	x	X
ejpam-4832	274	5	}	}	PUNCT
ejpam-4832	274	6	is	be	AUX
ejpam-4832	274	7	an	an	DET
ejpam-4832	274	8	intuitionistic	intuitionistic	ADJ
ejpam-4832	274	9	fuzzy	fuzzy	ADJ
ejpam-4832	274	10	ordered	order	VERB
ejpam-4832	274	11	subalgebra	subalgebra	NOUN
ejpam-4832	274	12	of	of	ADP
ejpam-4832	274	13	x	x	X
ejpam-4832	274	14	:	:	PUNCT
ejpam-4832	274	15	=	=	SYM
ejpam-4832	274	16	(	(	PUNCT
ejpam-4832	274	17	x	x	X
ejpam-4832	274	18	,	,	PUNCT
ejpam-4832	274	19	→	→	SYM
ejpam-4832	274	20	,	,	PUNCT
ejpam-4832	274	21	e	e	NOUN
ejpam-4832	274	22	,	,	PUNCT
ejpam-4832	274	23	≤x	≤x	PROPN
ejpam-4832	274	24	)	)	PUNCT
ejpam-4832	274	25	.	.	PUNCT
ejpam-4832	275	1	theorem	theorem	VERB
ejpam-4832	275	2	10	10	NUM
ejpam-4832	275	3	.	.	PUNCT
ejpam-4832	276	1	an	an	DET
ejpam-4832	276	2	intuitionistic	intuitionistic	ADJ
ejpam-4832	276	3	fuzzy	fuzzy	ADJ
ejpam-4832	276	4	set	set	NOUN
ejpam-4832	276	5	i	i	PRON
ejpam-4832	276	6	:	:	PUNCT
ejpam-4832	276	7	=	=	X
ejpam-4832	276	8	{	{	PUNCT
ejpam-4832	276	9	⟨x	⟨x	VERB
ejpam-4832	276	10	,	,	PUNCT
ejpam-4832	276	11	fi	fi	NOUN
ejpam-4832	276	12	,	,	PUNCT
ejpam-4832	276	13	gi⟩	gi⟩	PROPN
ejpam-4832	276	14	|	|	ADV
ejpam-4832	276	15	x	x	X
ejpam-4832	276	16	∈	∈	NOUN
ejpam-4832	276	17	x	x	X
ejpam-4832	276	18	}	}	PUNCT
ejpam-4832	276	19	in	in	ADP
ejpam-4832	276	20	x	x	PRON
ejpam-4832	276	21	is	be	AUX
ejpam-4832	276	22	an	an	DET
ejpam-4832	276	23	intuitionistic	intuitionistic	ADJ
ejpam-4832	276	24	fuzzy	fuzzy	ADJ
ejpam-4832	276	25	ordered	order	VERB
ejpam-4832	276	26	subalgebra	subalgebra	NOUN
ejpam-4832	276	27	of	of	ADP
ejpam-4832	276	28	x	x	X
ejpam-4832	276	29	:	:	PUNCT
ejpam-4832	276	30	=	=	SYM
ejpam-4832	276	31	(	(	PUNCT
ejpam-4832	276	32	x	x	X
ejpam-4832	276	33	,	,	PUNCT
ejpam-4832	276	34	→	→	SYM
ejpam-4832	276	35	,	,	PUNCT
ejpam-4832	276	36	e	e	NOUN
ejpam-4832	276	37	,	,	PUNCT
ejpam-4832	276	38	≤x	≤x	PROPN
ejpam-4832	276	39	)	)	PUNCT
ejpam-4832	276	40	if	if	SCONJ
ejpam-4832	276	41	and	and	CCONJ
ejpam-4832	276	42	only	only	ADV
ejpam-4832	276	43	if	if	SCONJ
ejpam-4832	276	44	its	its	PRON
ejpam-4832	276	45	upper	upper	ADJ
ejpam-4832	276	46	t	t	NOUN
ejpam-4832	276	47	-	-	PUNCT
ejpam-4832	276	48	level	level	NOUN
ejpam-4832	276	49	set	set	NOUN
ejpam-4832	276	50	and	and	CCONJ
ejpam-4832	276	51	lower	low	ADJ
ejpam-4832	276	52	s	s	NOUN
ejpam-4832	276	53	-	-	PUNCT
ejpam-4832	276	54	level	level	NOUN
ejpam-4832	276	55	set	set	NOUN
ejpam-4832	276	56	are	be	AUX
ejpam-4832	276	57	ordered	order	VERB
ejpam-4832	276	58	subalgebras	subalgebra	NOUN
ejpam-4832	276	59	of	of	ADP
ejpam-4832	276	60	x	x	X
ejpam-4832	276	61	:	:	PUNCT
ejpam-4832	276	62	=	=	SYM
ejpam-4832	276	63	(	(	PUNCT
ejpam-4832	276	64	x	x	X
ejpam-4832	276	65	,	,	PUNCT
ejpam-4832	276	66	→	→	SYM
ejpam-4832	276	67	,	,	PUNCT
ejpam-4832	276	68	e	e	NOUN
ejpam-4832	276	69	,	,	PUNCT
ejpam-4832	276	70	≤x	≤x	PROPN
ejpam-4832	276	71	)	)	PUNCT
ejpam-4832	276	72	for	for	ADP
ejpam-4832	276	73	all	all	DET
ejpam-4832	276	74	(	(	PUNCT
ejpam-4832	276	75	t	t	PROPN
ejpam-4832	276	76	,	,	PUNCT
ejpam-4832	276	77	s	s	X
ejpam-4832	276	78	)	)	PUNCT
ejpam-4832	276	79	∈	∈	PROPN
ejpam-4832	276	80	(	(	PUNCT
ejpam-4832	276	81	0	0	NUM
ejpam-4832	276	82	,	,	PUNCT
ejpam-4832	276	83	1]×[0	1]×[0	NUM
ejpam-4832	276	84	,	,	PUNCT
ejpam-4832	276	85	1	1	NUM
ejpam-4832	276	86	)	)	PUNCT
ejpam-4832	276	87	.	.	PUNCT
ejpam-4832	277	1	proof	proof	NOUN
ejpam-4832	277	2	.	.	PUNCT
ejpam-4832	278	1	suppose	suppose	VERB
ejpam-4832	278	2	that	that	SCONJ
ejpam-4832	278	3	i	i	PRON
ejpam-4832	278	4	:	:	PUNCT
ejpam-4832	278	5	=	=	X
ejpam-4832	278	6	{	{	PUNCT
ejpam-4832	278	7	⟨x	⟨x	VERB
ejpam-4832	278	8	,	,	PUNCT
ejpam-4832	278	9	fi	fi	NOUN
ejpam-4832	278	10	,	,	PUNCT
ejpam-4832	278	11	gi⟩	gi⟩	PROPN
ejpam-4832	278	12	|	|	ADV
ejpam-4832	278	13	x	x	X
ejpam-4832	278	14	∈	∈	NOUN
ejpam-4832	278	15	x	x	X
ejpam-4832	278	16	}	}	PUNCT
ejpam-4832	278	17	in	in	ADP
ejpam-4832	278	18	x	x	PRON
ejpam-4832	278	19	is	be	AUX
ejpam-4832	278	20	an	an	DET
ejpam-4832	278	21	intuitionistic	intuitionistic	ADJ
ejpam-4832	278	22	fuzzy	fuzzy	ADJ
ejpam-4832	278	23	ordered	order	VERB
ejpam-4832	278	24	subalgebra	subalgebra	NOUN
ejpam-4832	278	25	of	of	ADP
ejpam-4832	278	26	x	x	X
ejpam-4832	278	27	:	:	PUNCT
ejpam-4832	278	28	=	=	SYM
ejpam-4832	278	29	(	(	PUNCT
ejpam-4832	278	30	x	x	X
ejpam-4832	278	31	,	,	PUNCT
ejpam-4832	278	32	→	→	SYM
ejpam-4832	278	33	,	,	PUNCT
ejpam-4832	278	34	e	e	NOUN
ejpam-4832	278	35	,	,	PUNCT
ejpam-4832	278	36	≤x	≤x	PROPN
ejpam-4832	278	37	)	)	PUNCT
ejpam-4832	278	38	.	.	PUNCT
ejpam-4832	279	1	let	let	VERB
ejpam-4832	279	2	x	x	PRON
ejpam-4832	279	3	,	,	PUNCT
ejpam-4832	279	4	y	y	PROPN
ejpam-4832	279	5	,	,	PUNCT
ejpam-4832	279	6	a	a	PRON
ejpam-4832	279	7	,	,	PUNCT
ejpam-4832	279	8	b	b	X
ejpam-4832	279	9	∈	∈	PROPN
ejpam-4832	279	10	x	x	AUX
ejpam-4832	279	11	be	be	AUX
ejpam-4832	279	12	such	such	ADJ
ejpam-4832	279	13	that	that	SCONJ
ejpam-4832	279	14	x	x	NOUN
ejpam-4832	279	15	,	,	PUNCT
ejpam-4832	279	16	y	y	PROPN
ejpam-4832	279	17	∈	∈	PROPN
ejpam-4832	279	18	u(fi	u(fi	PROPN
ejpam-4832	279	19	,	,	PUNCT
ejpam-4832	279	20	t	t	PROPN
ejpam-4832	279	21	)	)	PUNCT
ejpam-4832	279	22	and	and	CCONJ
ejpam-4832	279	23	a	a	DET
ejpam-4832	279	24	,	,	PUNCT
ejpam-4832	279	25	b	b	PROPN
ejpam-4832	279	26	∈	∈	PROPN
ejpam-4832	279	27	e.	e.	PROPN
ejpam-4832	279	28	h.	h.	PROPN
ejpam-4832	279	29	roh	roh	PROPN
ejpam-4832	279	30	,	,	PUNCT
ejpam-4832	279	31	e.	e.	PROPN
ejpam-4832	279	32	yang	yang	PROPN
ejpam-4832	279	33	,	,	PUNCT
ejpam-4832	279	34	y.	y.	PROPN
ejpam-4832	279	35	b.	b.	PROPN
ejpam-4832	279	36	jun	jun	PROPN
ejpam-4832	279	37	/	/	SYM
ejpam-4832	279	38	eur	eur	PROPN
ejpam-4832	279	39	.	.	PUNCT
ejpam-4832	280	1	j.	j.	PROPN
ejpam-4832	280	2	pure	pure	PROPN
ejpam-4832	280	3	appl	appl	PROPN
ejpam-4832	280	4	.	.	PROPN
ejpam-4832	280	5	math	math	PROPN
ejpam-4832	280	6	,	,	PUNCT
ejpam-4832	280	7	16	16	NUM
ejpam-4832	280	8	(	(	PUNCT
ejpam-4832	280	9	3	3	NUM
ejpam-4832	280	10	)	)	PUNCT
ejpam-4832	280	11	(	(	PUNCT
ejpam-4832	280	12	2023	2023	NUM
ejpam-4832	280	13	)	)	PUNCT
ejpam-4832	280	14	,	,	PUNCT
ejpam-4832	280	15	1342	1342	NUM
ejpam-4832	280	16	-	-	SYM
ejpam-4832	280	17	1358	1358	NUM
ejpam-4832	280	18	1352	1352	NUM
ejpam-4832	280	19	l(gi	l(gi	PROPN
ejpam-4832	280	20	,	,	PUNCT
ejpam-4832	280	21	s	s	X
ejpam-4832	280	22	)	)	PUNCT
ejpam-4832	280	23	whenever	whenever	SCONJ
ejpam-4832	280	24	e	e	AUX
ejpam-4832	280	25	≤e	≤e	VERB
ejpam-4832	280	26	x	x	X
ejpam-4832	280	27	,	,	PUNCT
ejpam-4832	280	28	e	e	AUX
ejpam-4832	280	29	≤e	≤e	VERB
ejpam-4832	280	30	y	y	PROPN
ejpam-4832	280	31	,	,	PUNCT
ejpam-4832	280	32	e	e	X
ejpam-4832	280	33	≤e	≤e	VERB
ejpam-4832	280	34	a	a	PRON
ejpam-4832	280	35	,	,	PUNCT
ejpam-4832	280	36	and	and	CCONJ
ejpam-4832	280	37	e	e	X
ejpam-4832	280	38	≤e	≤e	PROPN
ejpam-4832	280	39	b.	b.	PROPN
ejpam-4832	280	40	then	then	ADV
ejpam-4832	280	41	fi(x	fi(x	NUM
ejpam-4832	280	42	)	)	PUNCT
ejpam-4832	280	43	≥	≥	PROPN
ejpam-4832	280	44	t	t	PROPN
ejpam-4832	280	45	,	,	PUNCT
ejpam-4832	280	46	fi(y	fi(y	X
ejpam-4832	280	47	)	)	PUNCT
ejpam-4832	280	48	≥	≥	NOUN
ejpam-4832	280	49	t	t	PROPN
ejpam-4832	280	50	,	,	PUNCT
ejpam-4832	280	51	gi(a	gi(a	X
ejpam-4832	280	52	)	)	PUNCT
ejpam-4832	280	53	≤	≤	PROPN
ejpam-4832	280	54	s	s	PROPN
ejpam-4832	280	55	and	and	CCONJ
ejpam-4832	280	56	gi(b	gi(b	PROPN
ejpam-4832	280	57	)	)	PUNCT
ejpam-4832	280	58	≤	≤	PUNCT
ejpam-4832	281	1	s.	s.	PROPN
ejpam-4832	281	2	it	it	PRON
ejpam-4832	281	3	follows	follow	VERB
ejpam-4832	281	4	from	from	ADP
ejpam-4832	281	5	theorem	theorem	ADJ
ejpam-4832	281	6	3	3	NUM
ejpam-4832	281	7	that	that	DET
ejpam-4832	281	8	fi(x	fi(x	NUM
ejpam-4832	281	9	→	→	SYM
ejpam-4832	281	10	y	y	X
ejpam-4832	281	11	)	)	PUNCT
ejpam-4832	281	12	≥	≥	PROPN
ejpam-4832	281	13	min{fi(x	min{fi(x	PROPN
ejpam-4832	281	14	)	)	PUNCT
ejpam-4832	281	15	,	,	PUNCT
ejpam-4832	281	16	fi(y	fi(y	NOUN
ejpam-4832	281	17	)	)	PUNCT
ejpam-4832	281	18	}	}	PUNCT
ejpam-4832	281	19	≥	≥	PROPN
ejpam-4832	281	20	t	t	NOUN
ejpam-4832	281	21	and	and	CCONJ
ejpam-4832	281	22	gi(x	gi(x	NUM
ejpam-4832	281	23	→	→	SYM
ejpam-4832	281	24	y	y	X
ejpam-4832	281	25	)	)	PUNCT
ejpam-4832	281	26	≤	≤	NOUN
ejpam-4832	281	27	max{gi(x	max{gi(x	NOUN
ejpam-4832	281	28	)	)	PUNCT
ejpam-4832	281	29	,	,	PUNCT
ejpam-4832	281	30	gi(y	gi(y	NOUN
ejpam-4832	281	31	)	)	PUNCT
ejpam-4832	281	32	}	}	PUNCT
ejpam-4832	281	33	≤	≤	NOUN
ejpam-4832	282	1	s.	s.	PROPN
ejpam-4832	282	2	hence	hence	ADV
ejpam-4832	282	3	x	x	PUNCT
ejpam-4832	282	4	→	→	SYM
ejpam-4832	282	5	y	y	PROPN
ejpam-4832	282	6	∈	∈	PROPN
ejpam-4832	282	7	u(fi	u(fi	PROPN
ejpam-4832	282	8	,	,	PUNCT
ejpam-4832	282	9	t	t	PROPN
ejpam-4832	282	10	)	)	PUNCT
ejpam-4832	282	11	and	and	CCONJ
ejpam-4832	282	12	a	a	DET
ejpam-4832	282	13	→	→	SYM
ejpam-4832	282	14	b	b	PROPN
ejpam-4832	282	15	∈	∈	PROPN
ejpam-4832	282	16	l(gi	l(gi	PROPN
ejpam-4832	282	17	,	,	PUNCT
ejpam-4832	282	18	s	s	PROPN
ejpam-4832	282	19	)	)	PUNCT
ejpam-4832	282	20	.	.	PUNCT
ejpam-4832	283	1	therefore	therefore	ADV
ejpam-4832	283	2	u(fi	u(fi	PROPN
ejpam-4832	283	3	,	,	PUNCT
ejpam-4832	283	4	t	t	PROPN
ejpam-4832	283	5	)	)	PUNCT
ejpam-4832	283	6	and	and	CCONJ
ejpam-4832	283	7	l(gi	l(gi	PROPN
ejpam-4832	283	8	,	,	PUNCT
ejpam-4832	283	9	s	s	AUX
ejpam-4832	283	10	)	)	PUNCT
ejpam-4832	283	11	are	be	AUX
ejpam-4832	283	12	ordered	order	VERB
ejpam-4832	283	13	subalgebras	subalgebra	NOUN
ejpam-4832	283	14	of	of	ADP
ejpam-4832	283	15	x	x	X
ejpam-4832	283	16	:	:	PUNCT
ejpam-4832	283	17	=	=	SYM
ejpam-4832	283	18	(	(	PUNCT
ejpam-4832	283	19	x	x	X
ejpam-4832	283	20	,	,	PUNCT
ejpam-4832	283	21	→	→	SYM
ejpam-4832	283	22	,	,	PUNCT
ejpam-4832	283	23	e	e	NOUN
ejpam-4832	283	24	,	,	PUNCT
ejpam-4832	283	25	≤x	≤x	PROPN
ejpam-4832	283	26	)	)	PUNCT
ejpam-4832	283	27	.	.	PUNCT
ejpam-4832	284	1	conversely	conversely	ADV
ejpam-4832	284	2	,	,	PUNCT
ejpam-4832	284	3	assume	assume	VERB
ejpam-4832	284	4	that	that	SCONJ
ejpam-4832	284	5	the	the	DET
ejpam-4832	284	6	upper	upper	ADJ
ejpam-4832	284	7	t	t	NOUN
ejpam-4832	284	8	-	-	PUNCT
ejpam-4832	284	9	level	level	NOUN
ejpam-4832	284	10	set	set	NOUN
ejpam-4832	284	11	and	and	CCONJ
ejpam-4832	284	12	lower	low	ADJ
ejpam-4832	284	13	s	s	NOUN
ejpam-4832	284	14	-	-	PUNCT
ejpam-4832	284	15	level	level	NOUN
ejpam-4832	284	16	set	set	NOUN
ejpam-4832	284	17	are	be	AUX
ejpam-4832	284	18	ordered	order	VERB
ejpam-4832	284	19	subalgebras	subalgebra	NOUN
ejpam-4832	284	20	of	of	ADP
ejpam-4832	284	21	x	x	X
ejpam-4832	284	22	:	:	PUNCT
ejpam-4832	284	23	=	=	SYM
ejpam-4832	284	24	(	(	PUNCT
ejpam-4832	284	25	x	x	X
ejpam-4832	284	26	,	,	PUNCT
ejpam-4832	284	27	→	→	SYM
ejpam-4832	284	28	,	,	PUNCT
ejpam-4832	284	29	e	e	NOUN
ejpam-4832	284	30	,	,	PUNCT
ejpam-4832	284	31	≤x	≤x	PROPN
ejpam-4832	284	32	)	)	PUNCT
ejpam-4832	284	33	for	for	ADP
ejpam-4832	284	34	all	all	DET
ejpam-4832	284	35	(	(	PUNCT
ejpam-4832	284	36	t	t	PROPN
ejpam-4832	284	37	,	,	PUNCT
ejpam-4832	284	38	s	s	X
ejpam-4832	284	39	)	)	PUNCT
ejpam-4832	284	40	∈	∈	PROPN
ejpam-4832	284	41	(	(	PUNCT
ejpam-4832	284	42	0	0	NUM
ejpam-4832	284	43	,	,	PUNCT
ejpam-4832	284	44	1	1	NUM
ejpam-4832	284	45	]	]	SYM
ejpam-4832	284	46	×	×	NOUN
ejpam-4832	285	1	[	[	X
ejpam-4832	285	2	0	0	NUM
ejpam-4832	285	3	,	,	PUNCT
ejpam-4832	285	4	1	1	NUM
ejpam-4832	285	5	)	)	PUNCT
ejpam-4832	285	6	.	.	PUNCT
ejpam-4832	286	1	let	let	VERB
ejpam-4832	286	2	x	x	PRON
ejpam-4832	286	3	,	,	PUNCT
ejpam-4832	286	4	y	y	PROPN
ejpam-4832	286	5	∈	∈	PROPN
ejpam-4832	286	6	x	x	X
ejpam-4832	286	7	and	and	CCONJ
ejpam-4832	286	8	(	(	PUNCT
ejpam-4832	286	9	t1	t1	NOUN
ejpam-4832	286	10	,	,	PUNCT
ejpam-4832	286	11	s1	s1	NOUN
ejpam-4832	286	12	)	)	PUNCT
ejpam-4832	286	13	,	,	PUNCT
ejpam-4832	286	14	(	(	PUNCT
ejpam-4832	286	15	t2	t2	NOUN
ejpam-4832	286	16	,	,	PUNCT
ejpam-4832	286	17	s2	s2	PROPN
ejpam-4832	286	18	)	)	PUNCT
ejpam-4832	286	19	∈	∈	PROPN
ejpam-4832	286	20	(	(	PUNCT
ejpam-4832	286	21	0	0	NUM
ejpam-4832	286	22	,	,	PUNCT
ejpam-4832	286	23	1]×	1]×	NUM
ejpam-4832	286	24	[	[	X
ejpam-4832	286	25	0	0	NUM
ejpam-4832	286	26	,	,	PUNCT
ejpam-4832	286	27	1	1	NUM
ejpam-4832	286	28	)	)	PUNCT
ejpam-4832	286	29	be	be	AUX
ejpam-4832	286	30	such	such	ADJ
ejpam-4832	286	31	that	that	SCONJ
ejpam-4832	286	32	e	e	PROPN
ejpam-4832	286	33	≤x	≤x	PROPN
ejpam-4832	286	34	x	x	X
ejpam-4832	286	35	,	,	PUNCT
ejpam-4832	286	36	e	e	PROPN
ejpam-4832	286	37	≤x	≤x	PROPN
ejpam-4832	286	38	y	y	PROPN
ejpam-4832	286	39	,	,	PUNCT
ejpam-4832	286	40	x(t1,s1	x(t1,s1	NOUN
ejpam-4832	286	41	)	)	PUNCT
ejpam-4832	286	42	∈	∈	PROPN
ejpam-4832	287	1	i	i	PRON
ejpam-4832	287	2	,	,	PUNCT
ejpam-4832	287	3	and	and	CCONJ
ejpam-4832	287	4	y(t2,s2	y(t2,s2	NOUN
ejpam-4832	287	5	)	)	PUNCT
ejpam-4832	287	6	∈	∈	PROPN
ejpam-4832	287	7	i.	i.	NOUN
ejpam-4832	287	8	then	then	ADV
ejpam-4832	287	9	fi(x	fi(x	NUM
ejpam-4832	287	10	)	)	PUNCT
ejpam-4832	287	11	≥	≥	NOUN
ejpam-4832	287	12	t1	t1	NOUN
ejpam-4832	287	13	,	,	PUNCT
ejpam-4832	287	14	gi(x	gi(x	PROPN
ejpam-4832	287	15	)	)	PUNCT
ejpam-4832	287	16	≤	≤	NOUN
ejpam-4832	287	17	s1	s1	NOUN
ejpam-4832	287	18	,	,	PUNCT
ejpam-4832	287	19	fi(y	fi(y	NOUN
ejpam-4832	287	20	)	)	PUNCT
ejpam-4832	287	21	≥	≥	NOUN
ejpam-4832	287	22	t2	t2	NOUN
ejpam-4832	287	23	,	,	PUNCT
ejpam-4832	287	24	and	and	CCONJ
ejpam-4832	287	25	gi(y	gi(y	NUM
ejpam-4832	287	26	)	)	PUNCT
ejpam-4832	287	27	≤	≤	NUM
ejpam-4832	287	28	s2	s2	NOUN
ejpam-4832	287	29	.	.	PUNCT
ejpam-4832	288	1	hence	hence	ADV
ejpam-4832	288	2	x	x	SYM
ejpam-4832	288	3	∈	∈	PROPN
ejpam-4832	288	4	u(fi	u(fi	NOUN
ejpam-4832	288	5	,	,	PUNCT
ejpam-4832	288	6	t1	t1	PROPN
ejpam-4832	288	7	)	)	PUNCT
ejpam-4832	288	8	⊆	⊆	NUM
ejpam-4832	288	9	u(fi	u(fi	NOUN
ejpam-4832	288	10	,	,	PUNCT
ejpam-4832	288	11	min{t1	min{t1	NOUN
ejpam-4832	288	12	,	,	PUNCT
ejpam-4832	288	13	t2	t2	NOUN
ejpam-4832	288	14	}	}	PUNCT
ejpam-4832	288	15	)	)	PUNCT
ejpam-4832	288	16	,	,	PUNCT
ejpam-4832	288	17	y	y	PROPN
ejpam-4832	288	18	∈	∈	PROPN
ejpam-4832	288	19	u(fi	u(fi	PROPN
ejpam-4832	288	20	,	,	PUNCT
ejpam-4832	288	21	t2	t2	NOUN
ejpam-4832	288	22	)	)	PUNCT
ejpam-4832	288	23	⊆	⊆	NUM
ejpam-4832	288	24	u(fi	u(fi	NOUN
ejpam-4832	288	25	,	,	PUNCT
ejpam-4832	288	26	min{t1	min{t1	NOUN
ejpam-4832	288	27	,	,	PUNCT
ejpam-4832	288	28	t2	t2	NOUN
ejpam-4832	288	29	}	}	PUNCT
ejpam-4832	288	30	)	)	PUNCT
ejpam-4832	288	31	,	,	PUNCT
ejpam-4832	288	32	x	x	PROPN
ejpam-4832	288	33	∈	∈	PROPN
ejpam-4832	288	34	l(gi	l(gi	PROPN
ejpam-4832	288	35	,	,	PUNCT
ejpam-4832	288	36	s1	s1	PROPN
ejpam-4832	288	37	)	)	PUNCT
ejpam-4832	288	38	⊆	⊆	NUM
ejpam-4832	288	39	l(gi	l(gi	PROPN
ejpam-4832	288	40	,	,	PUNCT
ejpam-4832	288	41	max{s1	max{s1	NOUN
ejpam-4832	288	42	,	,	PUNCT
ejpam-4832	288	43	s2	s2	PROPN
ejpam-4832	288	44	}	}	PUNCT
ejpam-4832	288	45	)	)	PUNCT
ejpam-4832	288	46	,	,	PUNCT
ejpam-4832	288	47	and	and	CCONJ
ejpam-4832	288	48	y	y	PROPN
ejpam-4832	288	49	∈	∈	PROPN
ejpam-4832	288	50	l(gi	l(gi	PROPN
ejpam-4832	288	51	,	,	PUNCT
ejpam-4832	288	52	s2	s2	PROPN
ejpam-4832	288	53	)	)	PUNCT
ejpam-4832	288	54	⊆	⊆	NUM
ejpam-4832	288	55	l(gi	l(gi	PROPN
ejpam-4832	288	56	,	,	PUNCT
ejpam-4832	288	57	max{s1	max{s1	NOUN
ejpam-4832	288	58	,	,	PUNCT
ejpam-4832	288	59	s2	s2	PROPN
ejpam-4832	288	60	}	}	PUNCT
ejpam-4832	288	61	)	)	PUNCT
ejpam-4832	288	62	.	.	PUNCT
ejpam-4832	289	1	since	since	SCONJ
ejpam-4832	289	2	u(fi	u(fi	NOUN
ejpam-4832	289	3	,	,	PUNCT
ejpam-4832	289	4	min{t1	min{t1	NOUN
ejpam-4832	289	5	,	,	PUNCT
ejpam-4832	289	6	t2	t2	NOUN
ejpam-4832	289	7	}	}	PUNCT
ejpam-4832	289	8	)	)	PUNCT
ejpam-4832	289	9	and	and	CCONJ
ejpam-4832	289	10	l(gi	l(gi	PROPN
ejpam-4832	289	11	,	,	PUNCT
ejpam-4832	289	12	max{s1	max{s1	NOUN
ejpam-4832	289	13	,	,	PUNCT
ejpam-4832	289	14	s2	s2	PROPN
ejpam-4832	289	15	}	}	PUNCT
ejpam-4832	289	16	)	)	PUNCT
ejpam-4832	289	17	are	be	AUX
ejpam-4832	289	18	ordered	order	VERB
ejpam-4832	289	19	subalgebras	subalgebra	NOUN
ejpam-4832	289	20	of	of	ADP
ejpam-4832	289	21	x	x	X
ejpam-4832	289	22	:	:	PUNCT
ejpam-4832	289	23	=	=	SYM
ejpam-4832	289	24	(	(	PUNCT
ejpam-4832	289	25	x	x	X
ejpam-4832	289	26	,	,	PUNCT
ejpam-4832	289	27	→	→	SYM
ejpam-4832	289	28	,	,	PUNCT
ejpam-4832	289	29	e	e	NOUN
ejpam-4832	289	30	,	,	PUNCT
ejpam-4832	289	31	≤x	≤x	PROPN
ejpam-4832	289	32	)	)	PUNCT
ejpam-4832	289	33	by	by	ADP
ejpam-4832	289	34	hypothesis	hypothesis	NOUN
ejpam-4832	289	35	,	,	PUNCT
ejpam-4832	289	36	it	it	PRON
ejpam-4832	289	37	follows	follow	VERB
ejpam-4832	289	38	that	that	SCONJ
ejpam-4832	289	39	x	x	X
ejpam-4832	289	40	→	→	SYM
ejpam-4832	289	41	y	y	PROPN
ejpam-4832	289	42	∈	∈	PROPN
ejpam-4832	289	43	u(fi	u(fi	PROPN
ejpam-4832	289	44	,	,	PUNCT
ejpam-4832	289	45	min{t1	min{t1	NOUN
ejpam-4832	289	46	,	,	PUNCT
ejpam-4832	289	47	t2	t2	NOUN
ejpam-4832	289	48	}	}	PUNCT
ejpam-4832	289	49	)	)	PUNCT
ejpam-4832	289	50	∩	∩	PROPN
ejpam-4832	289	51	l(gi	l(gi	PROPN
ejpam-4832	289	52	,	,	PUNCT
ejpam-4832	289	53	max{s1	max{s1	NOUN
ejpam-4832	289	54	,	,	PUNCT
ejpam-4832	289	55	s2	s2	NOUN
ejpam-4832	289	56	}	}	PUNCT
ejpam-4832	289	57	)	)	PUNCT
ejpam-4832	289	58	=	=	PUNCT
ejpam-4832	290	1	i∈	i∈	ADP
ejpam-4832	290	2	(	(	PUNCT
ejpam-4832	290	3	min{t1,t2},max{s1,s2	min{t1,t2},max{s1,s2	PROPN
ejpam-4832	290	4	}	}	PUNCT
ejpam-4832	290	5	)	)	PUNCT
ejpam-4832	290	6	.	.	PUNCT
ejpam-4832	291	1	hence	hence	ADV
ejpam-4832	291	2	(	(	PUNCT
ejpam-4832	291	3	x	x	NOUN
ejpam-4832	291	4	→	→	SYM
ejpam-4832	291	5	y)(min{t1,t2},max{s1,s2	y)(min{t1,t2},max{s1,s2	PRON
ejpam-4832	291	6	}	}	PUNCT
ejpam-4832	291	7	)	)	PUNCT
ejpam-4832	291	8	∈	∈	PROPN
ejpam-4832	292	1	i	i	PRON
ejpam-4832	292	2	,	,	PUNCT
ejpam-4832	292	3	and	and	CCONJ
ejpam-4832	292	4	therefore	therefore	ADV
ejpam-4832	292	5	i	i	PRON
ejpam-4832	292	6	:	:	PUNCT
ejpam-4832	292	7	=	=	X
ejpam-4832	292	8	{	{	PUNCT
ejpam-4832	292	9	⟨x	⟨x	VERB
ejpam-4832	292	10	,	,	PUNCT
ejpam-4832	292	11	fi	fi	NOUN
ejpam-4832	292	12	,	,	PUNCT
ejpam-4832	292	13	gi⟩	gi⟩	PROPN
ejpam-4832	292	14	|	|	ADV
ejpam-4832	292	15	x	x	X
ejpam-4832	292	16	∈	∈	NOUN
ejpam-4832	292	17	x	x	X
ejpam-4832	292	18	}	}	PUNCT
ejpam-4832	292	19	in	in	ADP
ejpam-4832	292	20	x	x	PRON
ejpam-4832	292	21	is	be	AUX
ejpam-4832	292	22	an	an	DET
ejpam-4832	292	23	intuitionistic	intuitionistic	ADJ
ejpam-4832	292	24	fuzzy	fuzzy	ADJ
ejpam-4832	292	25	ordered	order	VERB
ejpam-4832	292	26	subalgebra	subalgebra	NOUN
ejpam-4832	292	27	of	of	ADP
ejpam-4832	292	28	x	x	X
ejpam-4832	292	29	:	:	PUNCT
ejpam-4832	292	30	=	=	SYM
ejpam-4832	292	31	(	(	PUNCT
ejpam-4832	292	32	x	x	X
ejpam-4832	292	33	,	,	PUNCT
ejpam-4832	292	34	→	→	SYM
ejpam-4832	292	35	,	,	PUNCT
ejpam-4832	292	36	e	e	NOUN
ejpam-4832	292	37	,	,	PUNCT
ejpam-4832	292	38	≤x	≤x	PROPN
ejpam-4832	292	39	)	)	PUNCT
ejpam-4832	292	40	.	.	PUNCT
ejpam-4832	293	1	corollary	corollary	ADJ
ejpam-4832	293	2	1	1	NUM
ejpam-4832	293	3	.	.	PUNCT
ejpam-4832	294	1	if	if	SCONJ
ejpam-4832	294	2	an	an	DET
ejpam-4832	294	3	intuitionistic	intuitionistic	ADJ
ejpam-4832	294	4	fuzzy	fuzzy	ADJ
ejpam-4832	294	5	set	set	NOUN
ejpam-4832	294	6	i	i	PRON
ejpam-4832	294	7	:	:	PUNCT
ejpam-4832	294	8	=	=	X
ejpam-4832	294	9	{	{	PUNCT
ejpam-4832	294	10	⟨x	⟨x	VERB
ejpam-4832	294	11	,	,	PUNCT
ejpam-4832	294	12	fi	fi	NOUN
ejpam-4832	294	13	,	,	PUNCT
ejpam-4832	294	14	gi⟩	gi⟩	PROPN
ejpam-4832	294	15	|	|	ADV
ejpam-4832	294	16	x	x	X
ejpam-4832	294	17	∈	∈	NOUN
ejpam-4832	294	18	x	x	X
ejpam-4832	294	19	}	}	PUNCT
ejpam-4832	294	20	in	in	ADP
ejpam-4832	294	21	x	x	PRON
ejpam-4832	294	22	is	be	AUX
ejpam-4832	294	23	an	an	DET
ejpam-4832	294	24	intuitionistic	intuitionistic	ADJ
ejpam-4832	294	25	fuzzy	fuzzy	ADJ
ejpam-4832	294	26	ordered	order	VERB
ejpam-4832	294	27	subalgebra	subalgebra	NOUN
ejpam-4832	294	28	of	of	ADP
ejpam-4832	294	29	x	x	X
ejpam-4832	294	30	:	:	PUNCT
ejpam-4832	294	31	=	=	SYM
ejpam-4832	294	32	(	(	PUNCT
ejpam-4832	294	33	x	x	X
ejpam-4832	294	34	,	,	PUNCT
ejpam-4832	294	35	→	→	SYM
ejpam-4832	294	36	,	,	PUNCT
ejpam-4832	294	37	e	e	NOUN
ejpam-4832	294	38	,	,	PUNCT
ejpam-4832	294	39	≤x	≤x	PROPN
ejpam-4832	294	40	)	)	PUNCT
ejpam-4832	294	41	,	,	PUNCT
ejpam-4832	294	42	then	then	ADV
ejpam-4832	294	43	its	its	PRON
ejpam-4832	294	44	∈(t	∈(t	NOUN
ejpam-4832	294	45	,	,	PUNCT
ejpam-4832	294	46	s)-level	s)-level	VERB
ejpam-4832	294	47	set	set	VERB
ejpam-4832	294	48	is	be	AUX
ejpam-4832	294	49	an	an	DET
ejpam-4832	294	50	ordered	order	VERB
ejpam-4832	294	51	subalgebra	subalgebra	NOUN
ejpam-4832	294	52	of	of	ADP
ejpam-4832	294	53	x	x	X
ejpam-4832	294	54	:	:	PUNCT
ejpam-4832	294	55	=	=	SYM
ejpam-4832	294	56	(	(	PUNCT
ejpam-4832	294	57	x	x	X
ejpam-4832	294	58	,	,	PUNCT
ejpam-4832	294	59	→	→	SYM
ejpam-4832	294	60	,	,	PUNCT
ejpam-4832	294	61	e	e	NOUN
ejpam-4832	294	62	,	,	PUNCT
ejpam-4832	294	63	≤x	≤x	PROPN
ejpam-4832	294	64	)	)	PUNCT
ejpam-4832	294	65	for	for	ADP
ejpam-4832	294	66	all	all	DET
ejpam-4832	294	67	(	(	PUNCT
ejpam-4832	294	68	t	t	PROPN
ejpam-4832	294	69	,	,	PUNCT
ejpam-4832	294	70	s	s	X
ejpam-4832	294	71	)	)	PUNCT
ejpam-4832	294	72	∈	∈	PROPN
ejpam-4832	294	73	(	(	PUNCT
ejpam-4832	294	74	0	0	NUM
ejpam-4832	294	75	,	,	PUNCT
ejpam-4832	294	76	1]×	1]×	NUM
ejpam-4832	295	1	[	[	X
ejpam-4832	295	2	0	0	NUM
ejpam-4832	295	3	,	,	PUNCT
ejpam-4832	295	4	1	1	NUM
ejpam-4832	295	5	)	)	PUNCT
ejpam-4832	295	6	.	.	PUNCT
ejpam-4832	296	1	proof	proof	NOUN
ejpam-4832	296	2	.	.	PUNCT
ejpam-4832	297	1	straightforward	straightforward	ADJ
ejpam-4832	297	2	.	.	PUNCT
ejpam-4832	298	1	we	we	PRON
ejpam-4832	298	2	make	make	VERB
ejpam-4832	298	3	an	an	DET
ejpam-4832	298	4	intuitionistic	intuitionistic	ADJ
ejpam-4832	298	5	fuzzy	fuzzy	ADJ
ejpam-4832	298	6	ordered	order	VERB
ejpam-4832	298	7	subalgebra	subalgebra	NOUN
ejpam-4832	298	8	using	use	VERB
ejpam-4832	298	9	a	a	DET
ejpam-4832	298	10	collection	collection	NOUN
ejpam-4832	298	11	of	of	ADP
ejpam-4832	298	12	ordered	order	VERB
ejpam-4832	298	13	subalgebras	subalgebras	PROPN
ejpam-4832	298	14	.	.	PUNCT
ejpam-4832	299	1	theorem	theorem	NOUN
ejpam-4832	299	2	11	11	NUM
ejpam-4832	299	3	.	.	PUNCT
ejpam-4832	300	1	let	let	VERB
ejpam-4832	300	2	{	{	PUNCT
ejpam-4832	300	3	bt	bt	VERB
ejpam-4832	301	1	|	|	ADV
ejpam-4832	301	2	t	t	NOUN
ejpam-4832	301	3	∈	∈	PROPN
ejpam-4832	301	4	λ	λ	PROPN
ejpam-4832	301	5	⊆	⊆	NUM
ejpam-4832	301	6	[	[	X
ejpam-4832	301	7	0	0	NUM
ejpam-4832	301	8	,	,	PUNCT
ejpam-4832	301	9	1	1	NUM
ejpam-4832	301	10	]	]	PUNCT
ejpam-4832	301	11	}	}	PUNCT
ejpam-4832	301	12	be	be	AUX
ejpam-4832	301	13	a	a	DET
ejpam-4832	301	14	collection	collection	NOUN
ejpam-4832	301	15	of	of	ADP
ejpam-4832	301	16	ordered	order	VERB
ejpam-4832	301	17	subalgebras	subalgebras	PROPN
ejpam-4832	301	18	of	of	ADP
ejpam-4832	301	19	x	x	X
ejpam-4832	301	20	:	:	PUNCT
ejpam-4832	301	21	=	=	SYM
ejpam-4832	301	22	(	(	PUNCT
ejpam-4832	301	23	x	x	X
ejpam-4832	301	24	,	,	PUNCT
ejpam-4832	301	25	→	→	SYM
ejpam-4832	301	26	,	,	PUNCT
ejpam-4832	301	27	e	e	NOUN
ejpam-4832	301	28	,	,	PUNCT
ejpam-4832	301	29	≤x	≤x	PROPN
ejpam-4832	301	30	)	)	PUNCT
ejpam-4832	301	31	such	such	ADJ
ejpam-4832	301	32	that	that	SCONJ
ejpam-4832	301	33	x	x	PRON
ejpam-4832	301	34	is	be	AUX
ejpam-4832	301	35	represented	represent	VERB
ejpam-4832	301	36	as	as	ADP
ejpam-4832	301	37	the	the	DET
ejpam-4832	301	38	union	union	NOUN
ejpam-4832	301	39	of	of	ADP
ejpam-4832	301	40	bt	bt	PROPN
ejpam-4832	301	41	,	,	PUNCT
ejpam-4832	301	42	i.e.	i.e.	X
ejpam-4832	301	43	,	,	PUNCT
ejpam-4832	301	44	x	x	SYM
ejpam-4832	301	45	=	=	PUNCT
ejpam-4832	301	46	⋃	⋃	VERB
ejpam-4832	301	47	t∈λ	t∈λ	NOUN
ejpam-4832	301	48	bt	bt	NOUN
ejpam-4832	301	49	,	,	PUNCT
ejpam-4832	301	50	and	and	CCONJ
ejpam-4832	301	51	(	(	PUNCT
ejpam-4832	301	52	∀t	∀t	PROPN
ejpam-4832	301	53	,	,	PUNCT
ejpam-4832	301	54	s	s	PART
ejpam-4832	301	55	∈	∈	X
ejpam-4832	301	56	λ)(t	λ)(t	PUNCT
ejpam-4832	301	57	>	>	X
ejpam-4832	301	58	s	s	X
ejpam-4832	301	59	⇔	⇔	PROPN
ejpam-4832	301	60	bt	bt	PROPN
ejpam-4832	301	61	⊂	⊂	PROPN
ejpam-4832	301	62	bs	bs	PROPN
ejpam-4832	301	63	)	)	PUNCT
ejpam-4832	301	64	.	.	PUNCT
ejpam-4832	302	1	(	(	PUNCT
ejpam-4832	302	2	29	29	NUM
ejpam-4832	302	3	)	)	PUNCT
ejpam-4832	302	4	then	then	ADV
ejpam-4832	302	5	an	an	DET
ejpam-4832	302	6	intuitionistic	intuitionistic	ADJ
ejpam-4832	302	7	fuzzy	fuzzy	ADJ
ejpam-4832	302	8	set	set	NOUN
ejpam-4832	302	9	i	i	PRON
ejpam-4832	302	10	:	:	PUNCT
ejpam-4832	302	11	=	=	X
ejpam-4832	302	12	{	{	PUNCT
ejpam-4832	302	13	⟨x	⟨x	VERB
ejpam-4832	302	14	,	,	PUNCT
ejpam-4832	302	15	fi	fi	NOUN
ejpam-4832	302	16	,	,	PUNCT
ejpam-4832	302	17	gi⟩	gi⟩	PROPN
ejpam-4832	302	18	|	|	ADV
ejpam-4832	302	19	x	x	X
ejpam-4832	302	20	∈	∈	NOUN
ejpam-4832	302	21	x	x	X
ejpam-4832	302	22	}	}	PUNCT
ejpam-4832	302	23	in	in	ADP
ejpam-4832	302	24	x	x	PUNCT
ejpam-4832	302	25	defined	define	VERB
ejpam-4832	302	26	by	by	ADP
ejpam-4832	302	27	fi	fi	NOUN
ejpam-4832	302	28	:	:	PUNCT
ejpam-4832	302	29	x	x	X
ejpam-4832	302	30	→	→	SYM
ejpam-4832	303	1	[	[	X
ejpam-4832	303	2	0	0	NUM
ejpam-4832	303	3	,	,	PUNCT
ejpam-4832	303	4	1	1	NUM
ejpam-4832	303	5	]	]	PUNCT
ejpam-4832	303	6	,	,	PUNCT
ejpam-4832	303	7	x	x	PROPN
ejpam-4832	303	8	7→	7→	NUM
ejpam-4832	303	9	sup{t	sup{t	NOUN
ejpam-4832	303	10	∈	∈	PROPN
ejpam-4832	303	11	λ	λ	NOUN
ejpam-4832	303	12	|	|	NOUN
ejpam-4832	303	13	x	x	X
ejpam-4832	303	14	∈	∈	PROPN
ejpam-4832	303	15	bt	bt	PROPN
ejpam-4832	303	16	}	}	PUNCT
ejpam-4832	303	17	,	,	PUNCT
ejpam-4832	303	18	gi	gi	INTJ
ejpam-4832	303	19	:	:	PUNCT
ejpam-4832	303	20	x	x	X
ejpam-4832	303	21	→	→	PUNCT
ejpam-4832	304	1	[	[	X
ejpam-4832	304	2	0	0	NUM
ejpam-4832	304	3	,	,	PUNCT
ejpam-4832	304	4	1	1	NUM
ejpam-4832	304	5	]	]	PUNCT
ejpam-4832	304	6	,	,	PUNCT
ejpam-4832	304	7	x	x	X
ejpam-4832	304	8	7→	7→	NUM
ejpam-4832	304	9	inf{t	inf{t	NOUN
ejpam-4832	304	10	∈	∈	NOUN
ejpam-4832	304	11	λ	λ	NOUN
ejpam-4832	304	12	|	|	NOUN
ejpam-4832	304	13	x	x	X
ejpam-4832	304	14	∈	∈	PROPN
ejpam-4832	304	15	bt	bt	PROPN
ejpam-4832	304	16	}	}	PUNCT
ejpam-4832	304	17	(	(	PUNCT
ejpam-4832	304	18	30	30	NUM
ejpam-4832	304	19	)	)	PUNCT
ejpam-4832	304	20	is	be	AUX
ejpam-4832	304	21	an	an	DET
ejpam-4832	304	22	intuitionistic	intuitionistic	ADJ
ejpam-4832	304	23	fuzzy	fuzzy	ADJ
ejpam-4832	304	24	ordered	order	VERB
ejpam-4832	304	25	subalgebra	subalgebra	NOUN
ejpam-4832	304	26	of	of	ADP
ejpam-4832	304	27	x	x	X
ejpam-4832	304	28	:	:	PUNCT
ejpam-4832	304	29	=	=	SYM
ejpam-4832	304	30	(	(	PUNCT
ejpam-4832	304	31	x	x	X
ejpam-4832	304	32	,	,	PUNCT
ejpam-4832	304	33	→	→	SYM
ejpam-4832	304	34	,	,	PUNCT
ejpam-4832	304	35	e	e	NOUN
ejpam-4832	304	36	,	,	PUNCT
ejpam-4832	304	37	≤x	≤x	PROPN
ejpam-4832	304	38	)	)	PUNCT
ejpam-4832	304	39	.	.	PUNCT
ejpam-4832	305	1	proof	proof	NOUN
ejpam-4832	305	2	.	.	PUNCT
ejpam-4832	306	1	according	accord	VERB
ejpam-4832	306	2	to	to	ADP
ejpam-4832	306	3	theorem	theorem	ADJ
ejpam-4832	306	4	10	10	NUM
ejpam-4832	306	5	,	,	PUNCT
ejpam-4832	306	6	it	it	PRON
ejpam-4832	306	7	is	be	AUX
ejpam-4832	306	8	sufficient	sufficient	ADJ
ejpam-4832	306	9	to	to	PART
ejpam-4832	306	10	show	show	VERB
ejpam-4832	306	11	that	that	PRON
ejpam-4832	306	12	u(fi	u(fi	NOUN
ejpam-4832	306	13	,	,	PUNCT
ejpam-4832	306	14	t	t	PROPN
ejpam-4832	306	15	)	)	PUNCT
ejpam-4832	306	16	and	and	CCONJ
ejpam-4832	306	17	l(gi	l(gi	PROPN
ejpam-4832	306	18	,	,	PUNCT
ejpam-4832	306	19	s	s	AUX
ejpam-4832	306	20	)	)	PUNCT
ejpam-4832	306	21	are	be	AUX
ejpam-4832	306	22	ordered	order	VERB
ejpam-4832	306	23	subalgebras	subalgebra	NOUN
ejpam-4832	306	24	of	of	ADP
ejpam-4832	306	25	x	x	X
ejpam-4832	306	26	:	:	PUNCT
ejpam-4832	306	27	=	=	SYM
ejpam-4832	306	28	(	(	PUNCT
ejpam-4832	306	29	x	x	X
ejpam-4832	306	30	,	,	PUNCT
ejpam-4832	306	31	→	→	SYM
ejpam-4832	306	32	,	,	PUNCT
ejpam-4832	306	33	e	e	NOUN
ejpam-4832	306	34	,	,	PUNCT
ejpam-4832	306	35	≤x	≤x	PROPN
ejpam-4832	306	36	)	)	PUNCT
ejpam-4832	306	37	for	for	ADP
ejpam-4832	306	38	every	every	DET
ejpam-4832	306	39	(	(	PUNCT
ejpam-4832	306	40	t	t	PROPN
ejpam-4832	306	41	,	,	PUNCT
ejpam-4832	306	42	s	s	X
ejpam-4832	306	43	)	)	PUNCT
ejpam-4832	306	44	∈	∈	PROPN
ejpam-4832	306	45	(	(	PUNCT
ejpam-4832	306	46	0	0	NUM
ejpam-4832	306	47	,	,	PUNCT
ejpam-4832	306	48	1]×	1]×	NUM
ejpam-4832	306	49	[	[	X
ejpam-4832	306	50	0	0	NUM
ejpam-4832	306	51	,	,	PUNCT
ejpam-4832	306	52	1	1	NUM
ejpam-4832	306	53	)	)	PUNCT
ejpam-4832	306	54	.	.	PUNCT
ejpam-4832	307	1	we	we	PRON
ejpam-4832	307	2	first	first	ADV
ejpam-4832	307	3	show	show	VERB
ejpam-4832	307	4	that	that	SCONJ
ejpam-4832	307	5	u(fi	u(fi	PROPN
ejpam-4832	307	6	,	,	PUNCT
ejpam-4832	307	7	t	t	PROPN
ejpam-4832	307	8	)	)	PUNCT
ejpam-4832	307	9	is	be	AUX
ejpam-4832	307	10	an	an	DET
ejpam-4832	307	11	ordered	order	VERB
ejpam-4832	307	12	subalgebra	subalgebra	NOUN
ejpam-4832	307	13	of	of	ADP
ejpam-4832	307	14	x	x	X
ejpam-4832	307	15	:	:	PUNCT
ejpam-4832	307	16	=	=	SYM
ejpam-4832	307	17	(	(	PUNCT
ejpam-4832	307	18	x	x	X
ejpam-4832	307	19	,	,	PUNCT
ejpam-4832	307	20	→	→	SYM
ejpam-4832	307	21	,	,	PUNCT
ejpam-4832	307	22	e	e	NOUN
ejpam-4832	307	23	,	,	PUNCT
ejpam-4832	307	24	≤x	≤x	PROPN
ejpam-4832	307	25	)	)	PUNCT
ejpam-4832	307	26	.	.	PUNCT
ejpam-4832	308	1	to	to	PART
ejpam-4832	308	2	do	do	VERB
ejpam-4832	308	3	that	that	PRON
ejpam-4832	308	4	,	,	PUNCT
ejpam-4832	308	5	we	we	PRON
ejpam-4832	308	6	consider	consider	VERB
ejpam-4832	308	7	the	the	DET
ejpam-4832	308	8	following	follow	VERB
ejpam-4832	308	9	two	two	NUM
ejpam-4832	308	10	cases	case	NOUN
ejpam-4832	308	11	:	:	PUNCT
ejpam-4832	308	12	e.	e.	PROPN
ejpam-4832	308	13	h.	h.	PROPN
ejpam-4832	308	14	roh	roh	PROPN
ejpam-4832	308	15	,	,	PUNCT
ejpam-4832	308	16	e.	e.	PROPN
ejpam-4832	308	17	yang	yang	PROPN
ejpam-4832	308	18	,	,	PUNCT
ejpam-4832	308	19	y.	y.	PROPN
ejpam-4832	308	20	b.	b.	PROPN
ejpam-4832	308	21	jun	jun	PROPN
ejpam-4832	308	22	/	/	SYM
ejpam-4832	308	23	eur	eur	PROPN
ejpam-4832	308	24	.	.	PUNCT
ejpam-4832	309	1	j.	j.	PROPN
ejpam-4832	309	2	pure	pure	PROPN
ejpam-4832	309	3	appl	appl	PROPN
ejpam-4832	309	4	.	.	PROPN
ejpam-4832	309	5	math	math	PROPN
ejpam-4832	309	6	,	,	PUNCT
ejpam-4832	309	7	16	16	NUM
ejpam-4832	309	8	(	(	PUNCT
ejpam-4832	309	9	3	3	NUM
ejpam-4832	309	10	)	)	PUNCT
ejpam-4832	309	11	(	(	PUNCT
ejpam-4832	309	12	2023	2023	NUM
ejpam-4832	309	13	)	)	PUNCT
ejpam-4832	309	14	,	,	PUNCT
ejpam-4832	309	15	1342	1342	NUM
ejpam-4832	309	16	-	-	SYM
ejpam-4832	309	17	1358	1358	NUM
ejpam-4832	309	18	1353	1353	NUM
ejpam-4832	309	19	(	(	PUNCT
ejpam-4832	309	20	i	i	NOUN
ejpam-4832	309	21	)	)	PUNCT
ejpam-4832	309	22	t	t	PROPN
ejpam-4832	309	23	=	=	PUNCT
ejpam-4832	310	1	sup{k	sup{k	NOUN
ejpam-4832	310	2	∈	∈	PROPN
ejpam-4832	310	3	λ	λ	NOUN
ejpam-4832	311	1	|	|	ADV
ejpam-4832	311	2	k	k	X
ejpam-4832	311	3	<	<	X
ejpam-4832	311	4	t	t	PROPN
ejpam-4832	311	5	}	}	PUNCT
ejpam-4832	311	6	,	,	PUNCT
ejpam-4832	311	7	(	(	PUNCT
ejpam-4832	311	8	ii	ii	NOUN
ejpam-4832	311	9	)	)	PUNCT
ejpam-4832	311	10	t	t	PROPN
ejpam-4832	311	11	̸=	̸=	PROPN
ejpam-4832	311	12	sup{k	sup{k	NOUN
ejpam-4832	311	13	∈	∈	PROPN
ejpam-4832	312	1	λ	λ	X
ejpam-4832	313	1	|	|	ADV
ejpam-4832	313	2	k	k	X
ejpam-4832	313	3	<	<	X
ejpam-4832	313	4	t	t	PROPN
ejpam-4832	313	5	}	}	PUNCT
ejpam-4832	313	6	.	.	PUNCT
ejpam-4832	314	1	the	the	DET
ejpam-4832	314	2	first	first	ADJ
ejpam-4832	314	3	case	case	NOUN
ejpam-4832	314	4	induces	induce	VERB
ejpam-4832	314	5	(	(	PUNCT
ejpam-4832	314	6	∀x	∀x	X
ejpam-4832	314	7	∈	∈	PROPN
ejpam-4832	314	8	x	x	NOUN
ejpam-4832	314	9	)	)	PUNCT
ejpam-4832	314	10	(	(	PUNCT
ejpam-4832	314	11	x	x	PUNCT
ejpam-4832	314	12	∈	∈	PROPN
ejpam-4832	314	13	u(fi	u(fi	PROPN
ejpam-4832	314	14	,	,	PUNCT
ejpam-4832	314	15	t	t	PROPN
ejpam-4832	314	16	)	)	PUNCT
ejpam-4832	314	17	⇔	⇔	X
ejpam-4832	314	18	(	(	PUNCT
ejpam-4832	314	19	∀k	∀k	X
ejpam-4832	314	20	<	<	X
ejpam-4832	314	21	t)(x	t)(x	PROPN
ejpam-4832	314	22	∈	∈	PROPN
ejpam-4832	314	23	bk	bk	PROPN
ejpam-4832	314	24	)	)	PUNCT
ejpam-4832	314	25	⇔	⇔	NOUN
ejpam-4832	314	26	x	x	SYM
ejpam-4832	314	27	∈	∈	PROPN
ejpam-4832	314	28	∩	∩	NOUN
ejpam-4832	314	29	k	k	X
ejpam-4832	314	30	<	<	X
ejpam-4832	314	31	t	t	X
ejpam-4832	314	32	bk	bk	PROPN
ejpam-4832	314	33	)	)	PUNCT
ejpam-4832	314	34	.	.	PUNCT
ejpam-4832	315	1	hence	hence	ADV
ejpam-4832	315	2	u(fi	u(fi	PROPN
ejpam-4832	315	3	,	,	PUNCT
ejpam-4832	315	4	t	t	PROPN
ejpam-4832	315	5	)	)	PUNCT
ejpam-4832	315	6	=	=	SYM
ejpam-4832	316	1	⋂	⋂	PROPN
ejpam-4832	317	1	k	k	X
ejpam-4832	317	2	<	<	X
ejpam-4832	317	3	t	t	X
ejpam-4832	317	4	bk	bk	INTJ
ejpam-4832	317	5	which	which	PRON
ejpam-4832	317	6	is	be	AUX
ejpam-4832	317	7	an	an	DET
ejpam-4832	317	8	ordered	order	VERB
ejpam-4832	317	9	subalgebra	subalgebra	NOUN
ejpam-4832	317	10	of	of	ADP
ejpam-4832	317	11	x	x	X
ejpam-4832	317	12	:	:	PUNCT
ejpam-4832	317	13	=	=	SYM
ejpam-4832	317	14	(	(	PUNCT
ejpam-4832	317	15	x	x	X
ejpam-4832	317	16	,	,	PUNCT
ejpam-4832	317	17	→	→	SYM
ejpam-4832	317	18	,	,	PUNCT
ejpam-4832	317	19	e	e	NOUN
ejpam-4832	317	20	,	,	PUNCT
ejpam-4832	317	21	≤x	≤x	PROPN
ejpam-4832	317	22	)	)	PUNCT
ejpam-4832	317	23	.	.	PUNCT
ejpam-4832	318	1	for	for	ADP
ejpam-4832	318	2	the	the	DET
ejpam-4832	318	3	second	second	ADJ
ejpam-4832	318	4	case	case	NOUN
ejpam-4832	318	5	,	,	PUNCT
ejpam-4832	318	6	let	let	VERB
ejpam-4832	318	7	x	x	X
ejpam-4832	318	8	∈	∈	PROPN
ejpam-4832	318	9	x.	x.	NOUN
ejpam-4832	319	1	if	if	SCONJ
ejpam-4832	319	2	x	x	SYM
ejpam-4832	319	3	∈	∈	PROPN
ejpam-4832	319	4	⋃	⋃	NOUN
ejpam-4832	319	5	k≥t	k≥t	NOUN
ejpam-4832	319	6	bk	bk	VERB
ejpam-4832	319	7	,	,	PUNCT
ejpam-4832	319	8	then	then	ADV
ejpam-4832	319	9	x	x	SYM
ejpam-4832	319	10	∈	∈	NOUN
ejpam-4832	319	11	bk	bk	VERB
ejpam-4832	319	12	for	for	ADP
ejpam-4832	319	13	some	some	DET
ejpam-4832	319	14	k	k	PROPN
ejpam-4832	319	15	≥	≥	NOUN
ejpam-4832	319	16	t.	t.	NOUN
ejpam-4832	319	17	thus	thus	ADV
ejpam-4832	319	18	fi(x	fi(x	NUM
ejpam-4832	319	19	)	)	PUNCT
ejpam-4832	320	1	=	=	PUNCT
ejpam-4832	320	2	sup{t	sup{t	PROPN
ejpam-4832	320	3	∈	∈	PROPN
ejpam-4832	320	4	λ	λ	NOUN
ejpam-4832	320	5	|	|	NOUN
ejpam-4832	320	6	x	x	X
ejpam-4832	320	7	∈	∈	PROPN
ejpam-4832	320	8	bt	bt	PROPN
ejpam-4832	320	9	}	}	PUNCT
ejpam-4832	320	10	≥	≥	NOUN
ejpam-4832	320	11	k	k	PROPN
ejpam-4832	320	12	≥	≥	PROPN
ejpam-4832	320	13	t	t	PROPN
ejpam-4832	320	14	,	,	PUNCT
ejpam-4832	320	15	and	and	CCONJ
ejpam-4832	320	16	so	so	ADV
ejpam-4832	320	17	x	x	SYM
ejpam-4832	320	18	∈	∈	PROPN
ejpam-4832	320	19	u(fi	u(fi	PROPN
ejpam-4832	320	20	,	,	PUNCT
ejpam-4832	320	21	t	t	PROPN
ejpam-4832	320	22	)	)	PUNCT
ejpam-4832	320	23	.	.	PUNCT
ejpam-4832	321	1	hence	hence	ADV
ejpam-4832	321	2	⋃	⋃	AUX
ejpam-4832	321	3	k≥t	k≥t	NOUN
ejpam-4832	321	4	bk	bk	PRON
ejpam-4832	321	5	⊆	⊆	NUM
ejpam-4832	321	6	u(fi	u(fi	NOUN
ejpam-4832	321	7	,	,	PUNCT
ejpam-4832	321	8	t	t	PROPN
ejpam-4832	321	9	)	)	PUNCT
ejpam-4832	321	10	.	.	PUNCT
ejpam-4832	322	1	if	if	SCONJ
ejpam-4832	322	2	x	x	X
ejpam-4832	322	3	/∈	/∈	PUNCT
ejpam-4832	322	4	⋃	⋃	NOUN
ejpam-4832	322	5	k≥t	k≥t	NOUN
ejpam-4832	322	6	bk	bk	ADP
ejpam-4832	322	7	,	,	PUNCT
ejpam-4832	322	8	then	then	ADV
ejpam-4832	322	9	x	x	X
ejpam-4832	322	10	/∈	/∈	PUNCT
ejpam-4832	322	11	bk	bk	NOUN
ejpam-4832	322	12	for	for	ADP
ejpam-4832	322	13	all	all	DET
ejpam-4832	322	14	k	k	PROPN
ejpam-4832	322	15	≥	≥	NOUN
ejpam-4832	322	16	t.	t.	NOUN
ejpam-4832	322	17	since	since	SCONJ
ejpam-4832	322	18	t	t	PROPN
ejpam-4832	322	19	̸=	̸=	PROPN
ejpam-4832	322	20	sup{k	sup{k	NOUN
ejpam-4832	322	21	∈	∈	PROPN
ejpam-4832	323	1	λ	λ	X
ejpam-4832	324	1	|	|	ADV
ejpam-4832	324	2	k	k	X
ejpam-4832	324	3	<	<	X
ejpam-4832	324	4	t	t	PROPN
ejpam-4832	324	5	}	}	PUNCT
ejpam-4832	324	6	,	,	PUNCT
ejpam-4832	324	7	we	we	PRON
ejpam-4832	324	8	have	have	VERB
ejpam-4832	324	9	(	(	PUNCT
ejpam-4832	324	10	t	t	PROPN
ejpam-4832	324	11	−	−	PROPN
ejpam-4832	324	12	δ	δ	PROPN
ejpam-4832	324	13	,	,	PUNCT
ejpam-4832	324	14	t	t	PROPN
ejpam-4832	324	15	)	)	PUNCT
ejpam-4832	324	16	∩	∩	NOUN
ejpam-4832	324	17	λ	λ	NOUN
ejpam-4832	324	18	=	=	NOUN
ejpam-4832	324	19	∅	∅	NOUN
ejpam-4832	324	20	for	for	ADP
ejpam-4832	324	21	some	some	DET
ejpam-4832	324	22	δ	δ	PROPN
ejpam-4832	324	23	>	>	X
ejpam-4832	324	24	0	0	PROPN
ejpam-4832	324	25	.	.	PUNCT
ejpam-4832	325	1	so	so	ADV
ejpam-4832	325	2	x	x	INTJ
ejpam-4832	325	3	/∈	/∈	PUNCT
ejpam-4832	325	4	bk	bk	NOUN
ejpam-4832	325	5	for	for	ADP
ejpam-4832	325	6	all	all	PRON
ejpam-4832	325	7	k	k	PROPN
ejpam-4832	325	8	>	>	X
ejpam-4832	325	9	t	t	PROPN
ejpam-4832	326	1	−	−	PROPN
ejpam-4832	326	2	δ	δ	PROPN
ejpam-4832	326	3	,	,	PUNCT
ejpam-4832	326	4	which	which	PRON
ejpam-4832	326	5	means	mean	VERB
ejpam-4832	326	6	that	that	SCONJ
ejpam-4832	326	7	if	if	SCONJ
ejpam-4832	326	8	x	x	PROPN
ejpam-4832	326	9	∈	∈	PROPN
ejpam-4832	326	10	bk	bk	VERB
ejpam-4832	326	11	,	,	PUNCT
ejpam-4832	326	12	then	then	ADV
ejpam-4832	326	13	k	k	PROPN
ejpam-4832	326	14	≤	≤	PROPN
ejpam-4832	326	15	t	t	PROPN
ejpam-4832	326	16	−	−	PROPN
ejpam-4832	326	17	δ	δ	PROPN
ejpam-4832	326	18	.	.	PUNCT
ejpam-4832	327	1	thus	thus	ADV
ejpam-4832	327	2	fi(x	fi(x	NUM
ejpam-4832	327	3	)	)	PUNCT
ejpam-4832	328	1	≤	≤	NOUN
ejpam-4832	329	1	t	t	PROPN
ejpam-4832	329	2	−	−	PROPN
ejpam-4832	329	3	δ	δ	PROPN
ejpam-4832	329	4	<	<	X
ejpam-4832	329	5	t	t	PROPN
ejpam-4832	329	6	,	,	PUNCT
ejpam-4832	329	7	i.e.	i.e.	X
ejpam-4832	329	8	,	,	PUNCT
ejpam-4832	329	9	x	x	X
ejpam-4832	329	10	/∈	/∈	PUNCT
ejpam-4832	329	11	u(fi	u(fi	PROPN
ejpam-4832	329	12	,	,	PUNCT
ejpam-4832	329	13	t	t	PROPN
ejpam-4832	329	14	)	)	PUNCT
ejpam-4832	329	15	.	.	PUNCT
ejpam-4832	330	1	therefore	therefore	ADV
ejpam-4832	330	2	u(fi	u(fi	PROPN
ejpam-4832	330	3	,	,	PUNCT
ejpam-4832	330	4	t	t	PROPN
ejpam-4832	330	5	)	)	PUNCT
ejpam-4832	330	6	=	=	PUNCT
ejpam-4832	331	1	⋃	⋃	NOUN
ejpam-4832	331	2	k≥t	k≥t	NOUN
ejpam-4832	331	3	bk	bk	INTJ
ejpam-4832	332	1	and	and	CCONJ
ejpam-4832	332	2	it	it	PRON
ejpam-4832	332	3	is	be	AUX
ejpam-4832	332	4	an	an	DET
ejpam-4832	332	5	ordered	order	VERB
ejpam-4832	332	6	subalgebra	subalgebra	NOUN
ejpam-4832	332	7	of	of	ADP
ejpam-4832	332	8	x	x	X
ejpam-4832	332	9	:	:	PUNCT
ejpam-4832	332	10	=	=	SYM
ejpam-4832	332	11	(	(	PUNCT
ejpam-4832	332	12	x	x	X
ejpam-4832	332	13	,	,	PUNCT
ejpam-4832	332	14	→	→	SYM
ejpam-4832	332	15	,	,	PUNCT
ejpam-4832	332	16	e	e	NOUN
ejpam-4832	332	17	,	,	PUNCT
ejpam-4832	332	18	≤x	≤x	PROPN
ejpam-4832	332	19	)	)	PUNCT
ejpam-4832	332	20	.	.	PUNCT
ejpam-4832	333	1	by	by	ADP
ejpam-4832	333	2	the	the	DET
ejpam-4832	333	3	similarly	similarly	ADV
ejpam-4832	333	4	,	,	PUNCT
ejpam-4832	333	5	we	we	PRON
ejpam-4832	333	6	can	can	AUX
ejpam-4832	333	7	verify	verify	VERB
ejpam-4832	333	8	that	that	PRON
ejpam-4832	333	9	l(gi	l(gi	PROPN
ejpam-4832	333	10	,	,	PUNCT
ejpam-4832	333	11	s	s	AUX
ejpam-4832	333	12	)	)	PUNCT
ejpam-4832	333	13	is	be	AUX
ejpam-4832	333	14	an	an	DET
ejpam-4832	333	15	ordered	order	VERB
ejpam-4832	333	16	subalgebra	subalgebra	NOUN
ejpam-4832	333	17	of	of	ADP
ejpam-4832	333	18	x	x	X
ejpam-4832	333	19	:	:	PUNCT
ejpam-4832	333	20	=	=	SYM
ejpam-4832	333	21	(	(	PUNCT
ejpam-4832	333	22	x	x	X
ejpam-4832	333	23	,	,	PUNCT
ejpam-4832	333	24	→	→	SYM
ejpam-4832	333	25	,	,	PUNCT
ejpam-4832	333	26	e	e	NOUN
ejpam-4832	333	27	,	,	PUNCT
ejpam-4832	333	28	≤x	≤x	PROPN
ejpam-4832	333	29	)	)	PUNCT
ejpam-4832	333	30	.	.	PUNCT
ejpam-4832	334	1	consequently	consequently	ADV
ejpam-4832	334	2	,	,	PUNCT
ejpam-4832	334	3	i	i	PRON
ejpam-4832	334	4	:	:	PUNCT
ejpam-4832	334	5	=	=	X
ejpam-4832	334	6	{	{	PUNCT
ejpam-4832	334	7	⟨x	⟨x	VERB
ejpam-4832	334	8	,	,	PUNCT
ejpam-4832	334	9	fi	fi	NOUN
ejpam-4832	334	10	,	,	PUNCT
ejpam-4832	334	11	gi⟩	gi⟩	PROPN
ejpam-4832	334	12	|	|	ADV
ejpam-4832	334	13	x	x	SYM
ejpam-4832	334	14	∈	∈	NOUN
ejpam-4832	334	15	x	x	X
ejpam-4832	334	16	}	}	PUNCT
ejpam-4832	334	17	is	be	AUX
ejpam-4832	334	18	an	an	DET
ejpam-4832	334	19	intuitionistic	intuitionistic	ADJ
ejpam-4832	334	20	fuzzy	fuzzy	ADJ
ejpam-4832	334	21	ordered	order	VERB
ejpam-4832	334	22	subalgebra	subalgebra	NOUN
ejpam-4832	334	23	of	of	ADP
ejpam-4832	334	24	x	x	X
ejpam-4832	334	25	:	:	PUNCT
ejpam-4832	334	26	=	=	SYM
ejpam-4832	334	27	(	(	PUNCT
ejpam-4832	334	28	x	x	X
ejpam-4832	334	29	,	,	PUNCT
ejpam-4832	334	30	→	→	SYM
ejpam-4832	334	31	,	,	PUNCT
ejpam-4832	334	32	e	e	NOUN
ejpam-4832	334	33	,	,	PUNCT
ejpam-4832	334	34	≤x	≤x	PROPN
ejpam-4832	334	35	)	)	PUNCT
ejpam-4832	334	36	by	by	ADP
ejpam-4832	334	37	theorem	theorem	ADJ
ejpam-4832	334	38	10	10	NUM
ejpam-4832	334	39	.	.	PUNCT
ejpam-4832	335	1	theorem	theorem	NOUN
ejpam-4832	335	2	12	12	NUM
ejpam-4832	335	3	.	.	PUNCT
ejpam-4832	336	1	given	give	VERB
ejpam-4832	336	2	an	an	DET
ejpam-4832	336	3	intuitionistic	intuitionistic	ADJ
ejpam-4832	336	4	fuzzy	fuzzy	ADJ
ejpam-4832	336	5	set	set	NOUN
ejpam-4832	336	6	i	i	PRON
ejpam-4832	336	7	:	:	PUNCT
ejpam-4832	336	8	=	=	X
ejpam-4832	336	9	{	{	PUNCT
ejpam-4832	336	10	⟨x	⟨x	VERB
ejpam-4832	336	11	,	,	PUNCT
ejpam-4832	336	12	fi	fi	NOUN
ejpam-4832	336	13	,	,	PUNCT
ejpam-4832	336	14	gi⟩	gi⟩	PROPN
ejpam-4832	336	15	|	|	ADV
ejpam-4832	336	16	x	x	X
ejpam-4832	336	17	∈	∈	NOUN
ejpam-4832	336	18	x	x	X
ejpam-4832	336	19	}	}	PUNCT
ejpam-4832	336	20	in	in	ADP
ejpam-4832	336	21	x	x	PRON
ejpam-4832	336	22	,	,	PUNCT
ejpam-4832	336	23	its	its	PRON
ejpam-4832	336	24	nonempty	nonempty	ADJ
ejpam-4832	336	25	∈(t	∈(t	NOUN
ejpam-4832	336	26	,	,	PUNCT
ejpam-4832	336	27	s)-level	s)-level	VERB
ejpam-4832	336	28	set	set	VERB
ejpam-4832	336	29	is	be	AUX
ejpam-4832	336	30	an	an	DET
ejpam-4832	336	31	ordered	order	VERB
ejpam-4832	336	32	subalgebra	subalgebra	NOUN
ejpam-4832	336	33	of	of	ADP
ejpam-4832	336	34	x	x	X
ejpam-4832	336	35	:	:	PUNCT
ejpam-4832	336	36	=	=	SYM
ejpam-4832	336	37	(	(	PUNCT
ejpam-4832	336	38	x	x	X
ejpam-4832	336	39	,	,	PUNCT
ejpam-4832	336	40	→	→	SYM
ejpam-4832	336	41	,	,	PUNCT
ejpam-4832	336	42	e	e	NOUN
ejpam-4832	336	43	,	,	PUNCT
ejpam-4832	336	44	≤x	≤x	PROPN
ejpam-4832	336	45	)	)	PUNCT
ejpam-4832	336	46	for	for	ADP
ejpam-4832	336	47	all	all	DET
ejpam-4832	336	48	(	(	PUNCT
ejpam-4832	336	49	t	t	PROPN
ejpam-4832	336	50	,	,	PUNCT
ejpam-4832	336	51	s	s	X
ejpam-4832	336	52	)	)	PUNCT
ejpam-4832	336	53	∈	∈	PROPN
ejpam-4832	336	54	(	(	PUNCT
ejpam-4832	336	55	0.5	0.5	NUM
ejpam-4832	336	56	,	,	PUNCT
ejpam-4832	336	57	1]×	1]×	NUM
ejpam-4832	337	1	[	[	X
ejpam-4832	337	2	0	0	NUM
ejpam-4832	337	3	,	,	PUNCT
ejpam-4832	337	4	0.5	0.5	NUM
ejpam-4832	337	5	)	)	PUNCT
ejpam-4832	338	1	if	if	SCONJ
ejpam-4832	338	2	and	and	CCONJ
ejpam-4832	338	3	only	only	ADV
ejpam-4832	338	4	if	if	SCONJ
ejpam-4832	338	5	i	i	PRON
ejpam-4832	338	6	:	:	PUNCT
ejpam-4832	338	7	=	=	X
ejpam-4832	338	8	{	{	PUNCT
ejpam-4832	338	9	⟨x	⟨x	VERB
ejpam-4832	338	10	,	,	PUNCT
ejpam-4832	338	11	fi	fi	NOUN
ejpam-4832	338	12	,	,	PUNCT
ejpam-4832	338	13	gi⟩	gi⟩	PROPN
ejpam-4832	338	14	|	|	ADV
ejpam-4832	338	15	x	x	SYM
ejpam-4832	338	16	∈	∈	NOUN
ejpam-4832	338	17	x	x	PRON
ejpam-4832	338	18	}	}	PUNCT
ejpam-4832	338	19	satisfies	satisfie	NOUN
ejpam-4832	338	20	:	:	PUNCT
ejpam-4832	338	21	(	(	PUNCT
ejpam-4832	338	22	∀x	∀x	X
ejpam-4832	338	23	,	,	PUNCT
ejpam-4832	338	24	y	y	PROPN
ejpam-4832	338	25	∈	∈	PROPN
ejpam-4832	338	26	x	x	X
ejpam-4832	338	27	)	)	PUNCT
ejpam-4832	338	28			PROPN
ejpam-4832	338	29	e	e	SYM
ejpam-4832	338	30	≤x	≤x	PROPN
ejpam-4832	338	31	x	x	X
ejpam-4832	338	32	,	,	PUNCT
ejpam-4832	338	33	e	e	PROPN
ejpam-4832	338	34	≤x	≤x	PROPN
ejpam-4832	338	35	y	y	PROPN
ejpam-4832	338	36	⇒	⇒	PROPN
ejpam-4832	338	37	{	{	PUNCT
ejpam-4832	338	38	max{fi(x	max{fi(x	PROPN
ejpam-4832	338	39	→	→	SYM
ejpam-4832	338	40	y	y	PROPN
ejpam-4832	338	41	)	)	PUNCT
ejpam-4832	338	42	,	,	PUNCT
ejpam-4832	338	43	0.5	0.5	NUM
ejpam-4832	338	44	}	}	PUNCT
ejpam-4832	338	45	≥	≥	NOUN
ejpam-4832	338	46	min{fi(x	min{fi(x	PROPN
ejpam-4832	338	47	)	)	PUNCT
ejpam-4832	338	48	,	,	PUNCT
ejpam-4832	338	49	fi(y	fi(y	NOUN
ejpam-4832	338	50	)	)	PUNCT
ejpam-4832	338	51	}	}	PUNCT
ejpam-4832	338	52	min{gi(x	min{gi(x	NOUN
ejpam-4832	338	53	→	→	SYM
ejpam-4832	338	54	y	y	PROPN
ejpam-4832	338	55	)	)	PUNCT
ejpam-4832	338	56	,	,	PUNCT
ejpam-4832	338	57	0.5	0.5	NUM
ejpam-4832	338	58	}	}	PUNCT
ejpam-4832	338	59	≤	≤	NUM
ejpam-4832	338	60	max{gi(x	max{gi(x	NOUN
ejpam-4832	338	61	)	)	PUNCT
ejpam-4832	338	62	,	,	PUNCT
ejpam-4832	338	63	gi(y	gi(y	NOUN
ejpam-4832	338	64	)	)	PUNCT
ejpam-4832	338	65	}	}	PUNCT
ejpam-4832	338	66			PROPN
ejpam-4832	338	67	.	.	PUNCT
ejpam-4832	339	1	(	(	PUNCT
ejpam-4832	339	2	31	31	NUM
ejpam-4832	339	3	)	)	PUNCT
ejpam-4832	339	4	proof	proof	NOUN
ejpam-4832	339	5	.	.	PUNCT
ejpam-4832	340	1	assume	assume	VERB
ejpam-4832	340	2	that	that	SCONJ
ejpam-4832	340	3	the	the	DET
ejpam-4832	340	4	∈(t	∈(t	NOUN
ejpam-4832	340	5	,	,	PUNCT
ejpam-4832	340	6	s)-level	s)-level	PUNCT
ejpam-4832	340	7	set	set	VERB
ejpam-4832	340	8	i∈	i∈	ADP
ejpam-4832	340	9	(	(	PUNCT
ejpam-4832	340	10	t	t	PROPN
ejpam-4832	340	11	,	,	PUNCT
ejpam-4832	340	12	s	s	PART
ejpam-4832	340	13	)	)	PUNCT
ejpam-4832	340	14	is	be	AUX
ejpam-4832	340	15	a	a	DET
ejpam-4832	340	16	nonempty	nonempty	ADV
ejpam-4832	340	17	ordered	order	VERB
ejpam-4832	340	18	subalgebra	subalgebra	NOUN
ejpam-4832	340	19	of	of	ADP
ejpam-4832	340	20	x	x	X
ejpam-4832	340	21	:	:	PUNCT
ejpam-4832	340	22	=	=	SYM
ejpam-4832	340	23	(	(	PUNCT
ejpam-4832	340	24	x	x	X
ejpam-4832	340	25	,	,	PUNCT
ejpam-4832	340	26	→	→	SYM
ejpam-4832	340	27	,	,	PUNCT
ejpam-4832	340	28	e	e	NOUN
ejpam-4832	340	29	,	,	PUNCT
ejpam-4832	340	30	≤x	≤x	PROPN
ejpam-4832	340	31	)	)	PUNCT
ejpam-4832	340	32	for	for	ADP
ejpam-4832	340	33	all	all	DET
ejpam-4832	340	34	(	(	PUNCT
ejpam-4832	340	35	t	t	PROPN
ejpam-4832	340	36	,	,	PUNCT
ejpam-4832	340	37	s	s	X
ejpam-4832	340	38	)	)	PUNCT
ejpam-4832	340	39	∈	∈	PROPN
ejpam-4832	340	40	(	(	PUNCT
ejpam-4832	340	41	0.5	0.5	NUM
ejpam-4832	340	42	,	,	PUNCT
ejpam-4832	340	43	1]×	1]×	NUM
ejpam-4832	341	1	[	[	X
ejpam-4832	341	2	0	0	NUM
ejpam-4832	341	3	,	,	PUNCT
ejpam-4832	341	4	0.5	0.5	NUM
ejpam-4832	341	5	)	)	PUNCT
ejpam-4832	341	6	.	.	PUNCT
ejpam-4832	342	1	if	if	SCONJ
ejpam-4832	342	2	i	i	PRON
ejpam-4832	342	3	does	do	AUX
ejpam-4832	342	4	not	not	PART
ejpam-4832	342	5	satisfy	satisfy	VERB
ejpam-4832	342	6	(	(	PUNCT
ejpam-4832	342	7	31	31	NUM
ejpam-4832	342	8	)	)	PUNCT
ejpam-4832	342	9	,	,	PUNCT
ejpam-4832	342	10	then	then	ADV
ejpam-4832	342	11	max{fi(a	max{fi(a	X
ejpam-4832	342	12	→	→	SYM
ejpam-4832	342	13	b	b	NOUN
ejpam-4832	342	14	)	)	PUNCT
ejpam-4832	342	15	,	,	PUNCT
ejpam-4832	342	16	0.5	0.5	NUM
ejpam-4832	342	17	}	}	PUNCT
ejpam-4832	342	18	<	<	X
ejpam-4832	342	19	min{fi(a	min{fi(a	PROPN
ejpam-4832	342	20	)	)	PUNCT
ejpam-4832	342	21	,	,	PUNCT
ejpam-4832	342	22	fi(b	fi(b	NUM
ejpam-4832	342	23	)	)	PUNCT
ejpam-4832	342	24	}	}	PUNCT
ejpam-4832	342	25	or	or	CCONJ
ejpam-4832	342	26	min{gi(a	min{gi(a	X
ejpam-4832	342	27	→	→	SYM
ejpam-4832	342	28	b	b	NOUN
ejpam-4832	342	29	)	)	PUNCT
ejpam-4832	342	30	,	,	PUNCT
ejpam-4832	342	31	0.5	0.5	NUM
ejpam-4832	342	32	}	}	PUNCT
ejpam-4832	342	33	>	>	X
ejpam-4832	342	34	max{gi(a	max{gi(a	PROPN
ejpam-4832	342	35	)	)	PUNCT
ejpam-4832	342	36	,	,	PUNCT
ejpam-4832	342	37	gi(b	gi(b	PROPN
ejpam-4832	342	38	)	)	PUNCT
ejpam-4832	342	39	}	}	PUNCT
ejpam-4832	342	40	for	for	ADP
ejpam-4832	342	41	some	some	PRON
ejpam-4832	342	42	a	a	DET
ejpam-4832	342	43	,	,	PUNCT
ejpam-4832	342	44	b	b	X
ejpam-4832	342	45	∈	∈	PROPN
ejpam-4832	342	46	x	x	PUNCT
ejpam-4832	342	47	with	with	SCONJ
ejpam-4832	342	48	e	e	PRON
ejpam-4832	342	49	≤e	≤e	VERB
ejpam-4832	342	50	a	a	PRON
ejpam-4832	342	51	and	and	CCONJ
ejpam-4832	342	52	e	e	NOUN
ejpam-4832	342	53	≤e	≤e	PROPN
ejpam-4832	342	54	b.	b.	PROPN
ejpam-4832	342	55	if	if	SCONJ
ejpam-4832	342	56	we	we	PRON
ejpam-4832	342	57	put	put	VERB
ejpam-4832	342	58	t	t	NOUN
ejpam-4832	342	59	:	:	PUNCT
ejpam-4832	342	60	=	=	SYM
ejpam-4832	342	61	min{fi(a	min{fi(a	PROPN
ejpam-4832	342	62	)	)	PUNCT
ejpam-4832	342	63	,	,	PUNCT
ejpam-4832	342	64	fi(b	fi(b	NUM
ejpam-4832	342	65	)	)	PUNCT
ejpam-4832	342	66	}	}	PUNCT
ejpam-4832	342	67	and	and	CCONJ
ejpam-4832	342	68	s	s	VERB
ejpam-4832	342	69	:	:	PUNCT
ejpam-4832	342	70	=	=	SYM
ejpam-4832	342	71	max{gi(a	max{gi(a	PROPN
ejpam-4832	342	72	)	)	PUNCT
ejpam-4832	342	73	,	,	PUNCT
ejpam-4832	342	74	gi(b	gi(b	PROPN
ejpam-4832	342	75	)	)	PUNCT
ejpam-4832	342	76	}	}	PUNCT
ejpam-4832	342	77	,	,	PUNCT
ejpam-4832	342	78	then	then	ADV
ejpam-4832	342	79	t	t	PROPN
ejpam-4832	342	80	∈	∈	PROPN
ejpam-4832	342	81	(	(	PUNCT
ejpam-4832	342	82	0.5	0.5	NUM
ejpam-4832	342	83	,	,	PUNCT
ejpam-4832	342	84	1	1	NUM
ejpam-4832	342	85	]	]	PUNCT
ejpam-4832	342	86	and	and	CCONJ
ejpam-4832	342	87	s	s	X
ejpam-4832	342	88	∈	∈	PROPN
ejpam-4832	343	1	[	[	X
ejpam-4832	343	2	0	0	NUM
ejpam-4832	343	3	,	,	PUNCT
ejpam-4832	343	4	0.5	0.5	NUM
ejpam-4832	343	5	)	)	PUNCT
ejpam-4832	343	6	,	,	PUNCT
ejpam-4832	343	7	a	a	PRON
ejpam-4832	343	8	,	,	PUNCT
ejpam-4832	343	9	b	b	X
ejpam-4832	343	10	∈	∈	PROPN
ejpam-4832	343	11	i∈	i∈	ADP
ejpam-4832	343	12	(	(	PUNCT
ejpam-4832	343	13	t	t	PROPN
ejpam-4832	343	14	,	,	PUNCT
ejpam-4832	343	15	s	s	PART
ejpam-4832	343	16	)	)	PUNCT
ejpam-4832	343	17	but	but	CCONJ
ejpam-4832	343	18	a	a	DET
ejpam-4832	343	19	→	→	SYM
ejpam-4832	343	20	b	b	NOUN
ejpam-4832	343	21	/∈	/∈	PUNCT
ejpam-4832	343	22	i∈	i∈	ADP
ejpam-4832	343	23	(	(	PUNCT
ejpam-4832	343	24	t	t	PROPN
ejpam-4832	343	25	,	,	PUNCT
ejpam-4832	343	26	s	s	PART
ejpam-4832	343	27	)	)	PUNCT
ejpam-4832	343	28	.	.	PUNCT
ejpam-4832	344	1	this	this	PRON
ejpam-4832	344	2	is	be	AUX
ejpam-4832	344	3	a	a	DET
ejpam-4832	344	4	contradiction	contradiction	NOUN
ejpam-4832	344	5	,	,	PUNCT
ejpam-4832	344	6	and	and	CCONJ
ejpam-4832	344	7	so	so	ADV
ejpam-4832	344	8	max{fi(x	max{fi(x	PROPN
ejpam-4832	344	9	→	→	SYM
ejpam-4832	344	10	y	y	PROPN
ejpam-4832	344	11	)	)	PUNCT
ejpam-4832	344	12	,	,	PUNCT
ejpam-4832	344	13	0.5	0.5	NUM
ejpam-4832	344	14	}	}	PUNCT
ejpam-4832	344	15	≥	≥	NOUN
ejpam-4832	344	16	min{fi(x	min{fi(x	PROPN
ejpam-4832	344	17	)	)	PUNCT
ejpam-4832	344	18	,	,	PUNCT
ejpam-4832	344	19	fi(y	fi(y	NOUN
ejpam-4832	344	20	)	)	PUNCT
ejpam-4832	344	21	}	}	PUNCT
ejpam-4832	344	22	and	and	CCONJ
ejpam-4832	344	23	min{gi(x	min{gi(x	PROPN
ejpam-4832	344	24	→	→	SYM
ejpam-4832	344	25	y	y	PROPN
ejpam-4832	344	26	)	)	PUNCT
ejpam-4832	344	27	,	,	PUNCT
ejpam-4832	344	28	0.5	0.5	NUM
ejpam-4832	344	29	}	}	PUNCT
ejpam-4832	344	30	≤	≤	NUM
ejpam-4832	344	31	max{gi(x	max{gi(x	NOUN
ejpam-4832	344	32	)	)	PUNCT
ejpam-4832	344	33	,	,	PUNCT
ejpam-4832	344	34	gi(y	gi(y	NOUN
ejpam-4832	344	35	)	)	PUNCT
ejpam-4832	344	36	}	}	PUNCT
ejpam-4832	344	37	for	for	SCONJ
ejpam-4832	344	38	all	all	DET
ejpam-4832	344	39	x	x	NOUN
ejpam-4832	344	40	,	,	PUNCT
ejpam-4832	344	41	y	y	PROPN
ejpam-4832	344	42	∈	∈	PROPN
ejpam-4832	344	43	x	x	PUNCT
ejpam-4832	344	44	with	with	SCONJ
ejpam-4832	344	45	e	e	PRON
ejpam-4832	344	46	≤e	≤e	VERB
ejpam-4832	344	47	x	x	PUNCT
ejpam-4832	344	48	and	and	CCONJ
ejpam-4832	344	49	e	e	AUX
ejpam-4832	344	50	≤e	≤e	VERB
ejpam-4832	344	51	y.	y.	NOUN
ejpam-4832	344	52	conversely	conversely	ADV
ejpam-4832	344	53	,	,	PUNCT
ejpam-4832	344	54	suppose	suppose	VERB
ejpam-4832	344	55	that	that	SCONJ
ejpam-4832	344	56	i	i	PRON
ejpam-4832	344	57	satisfies	satisfy	VERB
ejpam-4832	344	58	(	(	PUNCT
ejpam-4832	344	59	31	31	NUM
ejpam-4832	344	60	)	)	PUNCT
ejpam-4832	344	61	.	.	PUNCT
ejpam-4832	345	1	let	let	VERB
ejpam-4832	345	2	x	x	PRON
ejpam-4832	345	3	,	,	PUNCT
ejpam-4832	345	4	y	y	PROPN
ejpam-4832	345	5	∈	∈	PROPN
ejpam-4832	345	6	x	x	PROPN
ejpam-4832	345	7	,	,	PUNCT
ejpam-4832	345	8	t	t	PROPN
ejpam-4832	345	9	∈	∈	PROPN
ejpam-4832	345	10	(	(	PUNCT
ejpam-4832	345	11	0.5	0.5	NUM
ejpam-4832	345	12	,	,	PUNCT
ejpam-4832	345	13	1	1	NUM
ejpam-4832	345	14	]	]	PUNCT
ejpam-4832	345	15	and	and	CCONJ
ejpam-4832	345	16	s	s	X
ejpam-4832	345	17	∈	∈	PROPN
ejpam-4832	346	1	[	[	X
ejpam-4832	346	2	0	0	NUM
ejpam-4832	346	3	,	,	PUNCT
ejpam-4832	346	4	0.5	0.5	NUM
ejpam-4832	346	5	)	)	PUNCT
ejpam-4832	346	6	be	be	VERB
ejpam-4832	346	7	such	such	ADJ
ejpam-4832	346	8	that	that	SCONJ
ejpam-4832	346	9	e	e	AUX
ejpam-4832	346	10	≤e	≤e	VERB
ejpam-4832	346	11	x	x	X
ejpam-4832	346	12	,	,	PUNCT
ejpam-4832	346	13	e	e	AUX
ejpam-4832	346	14	≤e	≤e	VERB
ejpam-4832	346	15	y	y	PROPN
ejpam-4832	346	16	and	and	CCONJ
ejpam-4832	346	17	x	x	NOUN
ejpam-4832	346	18	,	,	PUNCT
ejpam-4832	346	19	y	y	PROPN
ejpam-4832	346	20	∈	∈	PROPN
ejpam-4832	346	21	i∈	i∈	ADP
ejpam-4832	346	22	(	(	PUNCT
ejpam-4832	346	23	t	t	PROPN
ejpam-4832	346	24	,	,	PUNCT
ejpam-4832	346	25	s	s	PART
ejpam-4832	346	26	)	)	PUNCT
ejpam-4832	346	27	.	.	PUNCT
ejpam-4832	347	1	then	then	ADV
ejpam-4832	347	2	max{fi(x	max{fi(x	PROPN
ejpam-4832	347	3	→	→	SYM
ejpam-4832	347	4	y	y	PROPN
ejpam-4832	347	5	)	)	PUNCT
ejpam-4832	347	6	,	,	PUNCT
ejpam-4832	347	7	0.5	0.5	NUM
ejpam-4832	347	8	}	}	PUNCT
ejpam-4832	347	9	≥	≥	NOUN
ejpam-4832	347	10	min{fi(x	min{fi(x	PROPN
ejpam-4832	347	11	)	)	PUNCT
ejpam-4832	347	12	,	,	PUNCT
ejpam-4832	347	13	fi(y	fi(y	NOUN
ejpam-4832	347	14	)	)	PUNCT
ejpam-4832	347	15	}	}	PUNCT
ejpam-4832	347	16	≥	≥	PROPN
ejpam-4832	347	17	t	t	X
ejpam-4832	347	18	>	>	X
ejpam-4832	347	19	0.5	0.5	NUM
ejpam-4832	347	20	e.	e.	PROPN
ejpam-4832	347	21	h.	h.	PROPN
ejpam-4832	347	22	roh	roh	PROPN
ejpam-4832	347	23	,	,	PUNCT
ejpam-4832	347	24	e.	e.	PROPN
ejpam-4832	347	25	yang	yang	PROPN
ejpam-4832	347	26	,	,	PUNCT
ejpam-4832	347	27	y.	y.	PROPN
ejpam-4832	347	28	b.	b.	PROPN
ejpam-4832	347	29	jun	jun	PROPN
ejpam-4832	347	30	/	/	SYM
ejpam-4832	347	31	eur	eur	PROPN
ejpam-4832	347	32	.	.	PUNCT
ejpam-4832	348	1	j.	j.	PROPN
ejpam-4832	348	2	pure	pure	PROPN
ejpam-4832	348	3	appl	appl	PROPN
ejpam-4832	348	4	.	.	PROPN
ejpam-4832	348	5	math	math	PROPN
ejpam-4832	348	6	,	,	PUNCT
ejpam-4832	348	7	16	16	NUM
ejpam-4832	348	8	(	(	PUNCT
ejpam-4832	348	9	3	3	NUM
ejpam-4832	348	10	)	)	PUNCT
ejpam-4832	348	11	(	(	PUNCT
ejpam-4832	348	12	2023	2023	NUM
ejpam-4832	348	13	)	)	PUNCT
ejpam-4832	348	14	,	,	PUNCT
ejpam-4832	348	15	1342	1342	NUM
ejpam-4832	348	16	-	-	SYM
ejpam-4832	348	17	1358	1358	NUM
ejpam-4832	348	18	1354	1354	NUM
ejpam-4832	348	19	and	and	CCONJ
ejpam-4832	348	20	min{gi(x	min{gi(x	PROPN
ejpam-4832	348	21	→	→	SYM
ejpam-4832	348	22	y	y	PROPN
ejpam-4832	348	23	)	)	PUNCT
ejpam-4832	348	24	,	,	PUNCT
ejpam-4832	348	25	0.5	0.5	NUM
ejpam-4832	348	26	}	}	PUNCT
ejpam-4832	348	27	≤	≤	NUM
ejpam-4832	348	28	max{gi(x	max{gi(x	NOUN
ejpam-4832	348	29	)	)	PUNCT
ejpam-4832	348	30	,	,	PUNCT
ejpam-4832	348	31	gi(y	gi(y	NOUN
ejpam-4832	348	32	)	)	PUNCT
ejpam-4832	348	33	}	}	PUNCT
ejpam-4832	348	34	≤	≤	NUM
ejpam-4832	348	35	s	s	PART
ejpam-4832	348	36	<	<	X
ejpam-4832	348	37	0.5	0.5	NUM
ejpam-4832	348	38	,	,	PUNCT
ejpam-4832	348	39	and	and	CCONJ
ejpam-4832	348	40	so	so	ADV
ejpam-4832	348	41	fi(x	fi(x	PROPN
ejpam-4832	348	42	→	→	SYM
ejpam-4832	348	43	y	y	X
ejpam-4832	348	44	)	)	PUNCT
ejpam-4832	348	45	≥	≥	NOUN
ejpam-4832	348	46	t	t	PROPN
ejpam-4832	348	47	and	and	CCONJ
ejpam-4832	348	48	gi(x	gi(x	NUM
ejpam-4832	348	49	→	→	SYM
ejpam-4832	348	50	y	y	X
ejpam-4832	348	51	)	)	PUNCT
ejpam-4832	348	52	≤	≤	NOUN
ejpam-4832	348	53	s.	s.	PROPN
ejpam-4832	348	54	hence	hence	ADV
ejpam-4832	348	55	x	x	PUNCT
ejpam-4832	348	56	→	→	SYM
ejpam-4832	348	57	y	y	PROPN
ejpam-4832	348	58	∈	∈	PROPN
ejpam-4832	348	59	i∈	i∈	ADP
ejpam-4832	348	60	(	(	PUNCT
ejpam-4832	348	61	t	t	PROPN
ejpam-4832	348	62	,	,	PUNCT
ejpam-4832	348	63	s	s	PART
ejpam-4832	348	64	)	)	PUNCT
ejpam-4832	348	65	,	,	PUNCT
ejpam-4832	348	66	and	and	CCONJ
ejpam-4832	348	67	therefore	therefore	ADV
ejpam-4832	348	68	i∈	i∈	INTJ
ejpam-4832	348	69	(	(	PUNCT
ejpam-4832	348	70	t	t	PROPN
ejpam-4832	348	71	,	,	PUNCT
ejpam-4832	348	72	s	s	PART
ejpam-4832	348	73	)	)	PUNCT
ejpam-4832	348	74	is	be	AUX
ejpam-4832	348	75	an	an	DET
ejpam-4832	348	76	ordered	order	VERB
ejpam-4832	348	77	subalgebra	subalgebra	NOUN
ejpam-4832	348	78	of	of	ADP
ejpam-4832	348	79	x	x	X
ejpam-4832	348	80	:	:	PUNCT
ejpam-4832	348	81	=	=	SYM
ejpam-4832	348	82	(	(	PUNCT
ejpam-4832	348	83	x	x	X
ejpam-4832	348	84	,	,	PUNCT
ejpam-4832	348	85	→	→	SYM
ejpam-4832	348	86	,	,	PUNCT
ejpam-4832	348	87	e	e	NOUN
ejpam-4832	348	88	,	,	PUNCT
ejpam-4832	348	89	≤x	≤x	PROPN
ejpam-4832	348	90	)	)	PUNCT
ejpam-4832	348	91	for	for	ADP
ejpam-4832	348	92	all	all	DET
ejpam-4832	348	93	t	t	NOUN
ejpam-4832	348	94	∈	∈	PROPN
ejpam-4832	348	95	(	(	PUNCT
ejpam-4832	348	96	0.5	0.5	NUM
ejpam-4832	348	97	,	,	PUNCT
ejpam-4832	348	98	1	1	NUM
ejpam-4832	348	99	]	]	PUNCT
ejpam-4832	348	100	and	and	CCONJ
ejpam-4832	348	101	s	s	X
ejpam-4832	348	102	∈	∈	PROPN
ejpam-4832	349	1	[	[	X
ejpam-4832	349	2	0	0	NUM
ejpam-4832	349	3	,	,	PUNCT
ejpam-4832	349	4	0.5	0.5	NUM
ejpam-4832	349	5	)	)	PUNCT
ejpam-4832	349	6	.	.	PUNCT
ejpam-4832	350	1	given	give	VERB
ejpam-4832	350	2	an	an	DET
ejpam-4832	350	3	intuitionistic	intuitionistic	ADJ
ejpam-4832	350	4	fuzzy	fuzzy	ADJ
ejpam-4832	350	5	set	set	NOUN
ejpam-4832	350	6	i	i	PRON
ejpam-4832	350	7	:	:	PUNCT
ejpam-4832	350	8	=	=	X
ejpam-4832	350	9	{	{	PUNCT
ejpam-4832	350	10	⟨x	⟨x	VERB
ejpam-4832	350	11	,	,	PUNCT
ejpam-4832	350	12	fi	fi	NOUN
ejpam-4832	350	13	,	,	PUNCT
ejpam-4832	350	14	gi⟩	gi⟩	PROPN
ejpam-4832	350	15	|	|	ADV
ejpam-4832	350	16	x	x	X
ejpam-4832	350	17	∈	∈	NOUN
ejpam-4832	350	18	x	x	NOUN
ejpam-4832	350	19	}	}	PUNCT
ejpam-4832	350	20	and	and	CCONJ
ejpam-4832	350	21	(	(	PUNCT
ejpam-4832	350	22	t	t	PROPN
ejpam-4832	350	23	,	,	PUNCT
ejpam-4832	350	24	s	s	X
ejpam-4832	350	25	)	)	PUNCT
ejpam-4832	350	26	∈	∈	PROPN
ejpam-4832	350	27	(	(	PUNCT
ejpam-4832	350	28	0	0	NUM
ejpam-4832	350	29	,	,	PUNCT
ejpam-4832	350	30	1	1	NUM
ejpam-4832	350	31	]	]	SYM
ejpam-4832	350	32	×	×	NOUN
ejpam-4832	351	1	[	[	X
ejpam-4832	351	2	0	0	NUM
ejpam-4832	351	3	,	,	PUNCT
ejpam-4832	351	4	1	1	NUM
ejpam-4832	351	5	)	)	PUNCT
ejpam-4832	351	6	,	,	PUNCT
ejpam-4832	351	7	the	the	DET
ejpam-4832	351	8	set	set	NOUN
ejpam-4832	351	9	iq	iq	NOUN
ejpam-4832	351	10	(	(	PUNCT
ejpam-4832	351	11	t	t	PROPN
ejpam-4832	351	12	,	,	PUNCT
ejpam-4832	351	13	s	s	PART
ejpam-4832	351	14	)	)	PUNCT
ejpam-4832	351	15	:	:	PUNCT
ejpam-4832	351	16	=	=	SYM
ejpam-4832	351	17	{	{	PUNCT
ejpam-4832	351	18	y	y	PROPN
ejpam-4832	351	19	∈	∈	PROPN
ejpam-4832	351	20	x	x	PUNCT
ejpam-4832	351	21	|	|	ADV
ejpam-4832	351	22	y(t	y(t	PROPN
ejpam-4832	351	23	,	,	PUNCT
ejpam-4832	351	24	s	s	NOUN
ejpam-4832	351	25	)	)	PUNCT
ejpam-4832	351	26	q	q	NOUN
ejpam-4832	352	1	i	i	PRON
ejpam-4832	352	2	}	}	PUNCT
ejpam-4832	352	3	(	(	PUNCT
ejpam-4832	352	4	32	32	NUM
ejpam-4832	352	5	)	)	PUNCT
ejpam-4832	352	6	is	be	AUX
ejpam-4832	352	7	called	call	VERB
ejpam-4832	352	8	the	the	DET
ejpam-4832	352	9	q(t	q(t	PROPN
ejpam-4832	352	10	,	,	PUNCT
ejpam-4832	352	11	s)-level	s)-level	PUNCT
ejpam-4832	352	12	set	set	VERB
ejpam-4832	352	13	of	of	ADP
ejpam-4832	352	14	i.	i.	NOUN
ejpam-4832	352	15	it	it	PRON
ejpam-4832	352	16	is	be	AUX
ejpam-4832	352	17	clear	clear	ADJ
ejpam-4832	352	18	that	that	SCONJ
ejpam-4832	352	19	i	i	PRON
ejpam-4832	352	20	q	q	X
ejpam-4832	353	1	(	(	PUNCT
ejpam-4832	353	2	t1,s1	t1,s1	PROPN
ejpam-4832	353	3	)	)	PUNCT
ejpam-4832	354	1	⊆	⊆	NUM
ejpam-4832	354	2	iq	iq	NOUN
ejpam-4832	354	3	(	(	PUNCT
ejpam-4832	354	4	t2,s2	t2,s2	PROPN
ejpam-4832	354	5	)	)	PUNCT
ejpam-4832	354	6	for	for	ADP
ejpam-4832	354	7	all	all	DET
ejpam-4832	354	8	(	(	PUNCT
ejpam-4832	354	9	ti	ti	NOUN
ejpam-4832	354	10	,	,	PUNCT
ejpam-4832	354	11	si	si	ADJ
ejpam-4832	354	12	)	)	PUNCT
ejpam-4832	354	13	∈	∈	PROPN
ejpam-4832	354	14	(	(	PUNCT
ejpam-4832	354	15	0	0	NUM
ejpam-4832	354	16	,	,	PUNCT
ejpam-4832	354	17	1]×[0	1]×[0	NUM
ejpam-4832	354	18	,	,	PUNCT
ejpam-4832	354	19	1	1	NUM
ejpam-4832	354	20	)	)	PUNCT
ejpam-4832	354	21	,	,	PUNCT
ejpam-4832	354	22	i	i	PRON
ejpam-4832	354	23	=	=	NOUN
ejpam-4832	354	24	1	1	NUM
ejpam-4832	354	25	,	,	PUNCT
ejpam-4832	354	26	2	2	NUM
ejpam-4832	354	27	,	,	PUNCT
ejpam-4832	354	28	satisfying	satisfy	VERB
ejpam-4832	354	29	(	(	PUNCT
ejpam-4832	354	30	t1	t1	NOUN
ejpam-4832	354	31	,	,	PUNCT
ejpam-4832	354	32	s1	s1	NOUN
ejpam-4832	354	33	)	)	PUNCT
ejpam-4832	354	34	≪	≪	PUNCT
ejpam-4832	354	35	(	(	PUNCT
ejpam-4832	354	36	t2	t2	NOUN
ejpam-4832	354	37	,	,	PUNCT
ejpam-4832	354	38	s2	s2	PROPN
ejpam-4832	354	39	)	)	PUNCT
ejpam-4832	354	40	,	,	PUNCT
ejpam-4832	354	41	i.e.	i.e.	X
ejpam-4832	354	42	,	,	PUNCT
ejpam-4832	354	43	t1	t1	NOUN
ejpam-4832	354	44	≤	≤	ADJ
ejpam-4832	354	45	t2	t2	PROPN
ejpam-4832	354	46	and	and	CCONJ
ejpam-4832	354	47	s1	s1	PROPN
ejpam-4832	354	48	≥	≥	NUM
ejpam-4832	354	49	s2	s2	PROPN
ejpam-4832	354	50	.	.	PUNCT
ejpam-4832	355	1	we	we	PRON
ejpam-4832	355	2	know	know	VERB
ejpam-4832	355	3	that	that	SCONJ
ejpam-4832	355	4	iq	iq	INTJ
ejpam-4832	355	5	(	(	PUNCT
ejpam-4832	355	6	t	t	PROPN
ejpam-4832	355	7	,	,	PUNCT
ejpam-4832	355	8	s	s	PART
ejpam-4832	355	9	)	)	PUNCT
ejpam-4832	355	10	:	:	PUNCT
ejpam-4832	355	11	=	=	SYM
ejpam-4832	355	12	{	{	PUNCT
ejpam-4832	355	13	y	y	PROPN
ejpam-4832	355	14	∈	∈	PROPN
ejpam-4832	355	15	x	x	PUNCT
ejpam-4832	355	16	|	|	ADV
ejpam-4832	355	17	y(t	y(t	PROPN
ejpam-4832	355	18	,	,	PUNCT
ejpam-4832	355	19	s	s	NOUN
ejpam-4832	355	20	)	)	PUNCT
ejpam-4832	355	21	q	q	PROPN
ejpam-4832	356	1	i	i	NOUN
ejpam-4832	356	2	}	}	PUNCT
ejpam-4832	356	3	=	=	SYM
ejpam-4832	356	4	q(fi	q(fi	PROPN
ejpam-4832	356	5	,	,	PUNCT
ejpam-4832	356	6	t	t	PROPN
ejpam-4832	356	7	)	)	PUNCT
ejpam-4832	356	8	∩q(gi	∩q(gi	NOUN
ejpam-4832	356	9	,	,	PUNCT
ejpam-4832	356	10	s	s	X
ejpam-4832	356	11	)	)	PUNCT
ejpam-4832	356	12	where	where	SCONJ
ejpam-4832	356	13	q(fi	q(fi	PROPN
ejpam-4832	356	14	,	,	PUNCT
ejpam-4832	356	15	t	t	PROPN
ejpam-4832	356	16	)	)	PUNCT
ejpam-4832	356	17	:	:	PUNCT
ejpam-4832	356	18	=	=	SYM
ejpam-4832	356	19	{	{	PUNCT
ejpam-4832	356	20	y	y	PROPN
ejpam-4832	356	21	∈	∈	PROPN
ejpam-4832	356	22	x	x	X
ejpam-4832	356	23	|	|	ADV
ejpam-4832	356	24	f(y	f(y	NOUN
ejpam-4832	356	25	)	)	PUNCT
ejpam-4832	356	26	>	>	X
ejpam-4832	356	27	1−	1−	NUM
ejpam-4832	356	28	t	t	PROPN
ejpam-4832	356	29	}	}	PUNCT
ejpam-4832	356	30	and	and	CCONJ
ejpam-4832	356	31	q(gi	q(gi	PROPN
ejpam-4832	356	32	,	,	PUNCT
ejpam-4832	356	33	s	s	X
ejpam-4832	356	34	)	)	PUNCT
ejpam-4832	356	35	:	:	PUNCT
ejpam-4832	356	36	=	=	SYM
ejpam-4832	356	37	{	{	PUNCT
ejpam-4832	356	38	y	y	PROPN
ejpam-4832	356	39	∈	∈	PROPN
ejpam-4832	356	40	x	x	X
ejpam-4832	356	41	|	|	ADV
ejpam-4832	356	42	g(y	g(y	NOUN
ejpam-4832	356	43	)	)	PUNCT
ejpam-4832	356	44	<	<	X
ejpam-4832	356	45	1−	1−	NUM
ejpam-4832	356	46	s	s	NOUN
ejpam-4832	356	47	}	}	PUNCT
ejpam-4832	356	48	which	which	PRON
ejpam-4832	356	49	are	be	AUX
ejpam-4832	356	50	called	call	VERB
ejpam-4832	356	51	the	the	DET
ejpam-4832	356	52	upper	upper	ADJ
ejpam-4832	356	53	q	q	ADJ
ejpam-4832	356	54	-	-	PUNCT
ejpam-4832	356	55	level	level	NOUN
ejpam-4832	356	56	set	set	NOUN
ejpam-4832	356	57	and	and	CCONJ
ejpam-4832	356	58	the	the	DET
ejpam-4832	356	59	lower	low	ADJ
ejpam-4832	356	60	q	q	ADJ
ejpam-4832	356	61	-	-	PUNCT
ejpam-4832	356	62	level	level	NOUN
ejpam-4832	356	63	set	set	NOUN
ejpam-4832	356	64	of	of	ADP
ejpam-4832	356	65	i	i	PRON
ejpam-4832	356	66	related	relate	VERB
ejpam-4832	356	67	to	to	ADP
ejpam-4832	356	68	t	t	PROPN
ejpam-4832	356	69	and	and	CCONJ
ejpam-4832	356	70	s	s	PROPN
ejpam-4832	356	71	,	,	PUNCT
ejpam-4832	356	72	respectively	respectively	ADV
ejpam-4832	356	73	.	.	PUNCT
ejpam-4832	356	74	theorem	theorem	VERB
ejpam-4832	356	75	13	13	NUM
ejpam-4832	356	76	.	.	PUNCT
ejpam-4832	357	1	if	if	SCONJ
ejpam-4832	357	2	i	i	PRON
ejpam-4832	357	3	:	:	PUNCT
ejpam-4832	357	4	=	=	X
ejpam-4832	357	5	{	{	PUNCT
ejpam-4832	357	6	⟨x	⟨x	VERB
ejpam-4832	357	7	,	,	PUNCT
ejpam-4832	357	8	fi	fi	NOUN
ejpam-4832	357	9	,	,	PUNCT
ejpam-4832	357	10	gi⟩	gi⟩	PROPN
ejpam-4832	357	11	|	|	ADV
ejpam-4832	357	12	x	x	SYM
ejpam-4832	357	13	∈	∈	NOUN
ejpam-4832	357	14	x	x	X
ejpam-4832	357	15	}	}	PUNCT
ejpam-4832	357	16	is	be	AUX
ejpam-4832	357	17	an	an	DET
ejpam-4832	357	18	intuitionistic	intuitionistic	ADJ
ejpam-4832	357	19	fuzzy	fuzzy	ADJ
ejpam-4832	357	20	ordered	order	VERB
ejpam-4832	357	21	subalgebra	subalgebra	NOUN
ejpam-4832	357	22	of	of	ADP
ejpam-4832	357	23	x	x	X
ejpam-4832	357	24	:	:	PUNCT
ejpam-4832	357	25	=	=	SYM
ejpam-4832	357	26	(	(	PUNCT
ejpam-4832	357	27	x	x	X
ejpam-4832	357	28	,	,	PUNCT
ejpam-4832	357	29	→	→	SYM
ejpam-4832	357	30	,	,	PUNCT
ejpam-4832	357	31	e	e	NOUN
ejpam-4832	357	32	,	,	PUNCT
ejpam-4832	357	33	≤x	≤x	PROPN
ejpam-4832	357	34	)	)	PUNCT
ejpam-4832	357	35	,	,	PUNCT
ejpam-4832	357	36	then	then	ADV
ejpam-4832	357	37	its	its	PRON
ejpam-4832	357	38	q(t	q(t	PROPN
ejpam-4832	357	39	,	,	PUNCT
ejpam-4832	357	40	s)-level	s)-level	PUNCT
ejpam-4832	357	41	set	set	VERB
ejpam-4832	357	42	is	be	AUX
ejpam-4832	357	43	an	an	DET
ejpam-4832	357	44	ordered	order	VERB
ejpam-4832	357	45	subalgebra	subalgebra	NOUN
ejpam-4832	357	46	of	of	ADP
ejpam-4832	357	47	x	x	X
ejpam-4832	357	48	:	:	PUNCT
ejpam-4832	357	49	=	=	SYM
ejpam-4832	357	50	(	(	PUNCT
ejpam-4832	357	51	x	x	X
ejpam-4832	357	52	,	,	PUNCT
ejpam-4832	357	53	→	→	SYM
ejpam-4832	357	54	,	,	PUNCT
ejpam-4832	357	55	e	e	NOUN
ejpam-4832	357	56	,	,	PUNCT
ejpam-4832	357	57	≤x	≤x	PROPN
ejpam-4832	357	58	)	)	PUNCT
ejpam-4832	357	59	for	for	ADP
ejpam-4832	357	60	all	all	DET
ejpam-4832	357	61	(	(	PUNCT
ejpam-4832	357	62	t	t	PROPN
ejpam-4832	357	63	,	,	PUNCT
ejpam-4832	357	64	s	s	X
ejpam-4832	357	65	)	)	PUNCT
ejpam-4832	357	66	∈	∈	PROPN
ejpam-4832	357	67	(	(	PUNCT
ejpam-4832	357	68	0	0	NUM
ejpam-4832	357	69	,	,	PUNCT
ejpam-4832	357	70	1]×	1]×	NUM
ejpam-4832	358	1	[	[	X
ejpam-4832	358	2	0	0	NUM
ejpam-4832	358	3	,	,	PUNCT
ejpam-4832	358	4	1	1	NUM
ejpam-4832	358	5	)	)	PUNCT
ejpam-4832	358	6	.	.	PUNCT
ejpam-4832	359	1	proof	proof	NOUN
ejpam-4832	359	2	.	.	PUNCT
ejpam-4832	360	1	assume	assume	VERB
ejpam-4832	360	2	that	that	SCONJ
ejpam-4832	360	3	i	i	PRON
ejpam-4832	360	4	:	:	PUNCT
ejpam-4832	360	5	=	=	X
ejpam-4832	360	6	{	{	PUNCT
ejpam-4832	360	7	⟨x	⟨x	VERB
ejpam-4832	360	8	,	,	PUNCT
ejpam-4832	360	9	fi	fi	NOUN
ejpam-4832	360	10	,	,	PUNCT
ejpam-4832	360	11	gi⟩	gi⟩	PROPN
ejpam-4832	360	12	|	|	ADV
ejpam-4832	360	13	x	x	SYM
ejpam-4832	360	14	∈	∈	NOUN
ejpam-4832	360	15	x	x	X
ejpam-4832	360	16	}	}	PUNCT
ejpam-4832	360	17	is	be	AUX
ejpam-4832	360	18	an	an	DET
ejpam-4832	360	19	intuitionistic	intuitionistic	ADJ
ejpam-4832	360	20	fuzzy	fuzzy	ADJ
ejpam-4832	360	21	ordered	order	VERB
ejpam-4832	360	22	subalgebra	subalgebra	NOUN
ejpam-4832	360	23	of	of	ADP
ejpam-4832	360	24	x	x	X
ejpam-4832	360	25	:	:	PUNCT
ejpam-4832	360	26	=	=	SYM
ejpam-4832	360	27	(	(	PUNCT
ejpam-4832	360	28	x	x	X
ejpam-4832	360	29	,	,	PUNCT
ejpam-4832	360	30	→	→	SYM
ejpam-4832	360	31	,	,	PUNCT
ejpam-4832	360	32	e	e	NOUN
ejpam-4832	360	33	,	,	PUNCT
ejpam-4832	360	34	≤x	≤x	PROPN
ejpam-4832	360	35	)	)	PUNCT
ejpam-4832	360	36	.	.	PUNCT
ejpam-4832	361	1	let	let	VERB
ejpam-4832	361	2	x	x	PRON
ejpam-4832	361	3	,	,	PUNCT
ejpam-4832	361	4	y	y	PROPN
ejpam-4832	361	5	∈	∈	PROPN
ejpam-4832	361	6	x	x	AUX
ejpam-4832	361	7	be	be	AUX
ejpam-4832	361	8	such	such	ADJ
ejpam-4832	361	9	that	that	SCONJ
ejpam-4832	361	10	e	e	AUX
ejpam-4832	361	11	≤e	≤e	VERB
ejpam-4832	361	12	x	x	X
ejpam-4832	361	13	,	,	PUNCT
ejpam-4832	361	14	e	e	AUX
ejpam-4832	361	15	≤e	≤e	VERB
ejpam-4832	361	16	y	y	PROPN
ejpam-4832	361	17	and	and	CCONJ
ejpam-4832	361	18	x	x	PROPN
ejpam-4832	361	19	,	,	PUNCT
ejpam-4832	361	20	y	y	PROPN
ejpam-4832	361	21	∈	∈	PROPN
ejpam-4832	361	22	iq	iq	NOUN
ejpam-4832	361	23	(	(	PUNCT
ejpam-4832	361	24	t	t	PROPN
ejpam-4832	361	25	,	,	PUNCT
ejpam-4832	361	26	s	s	PART
ejpam-4832	361	27	)	)	PUNCT
ejpam-4832	361	28	for	for	ADP
ejpam-4832	361	29	all	all	DET
ejpam-4832	361	30	(	(	PUNCT
ejpam-4832	361	31	t	t	PROPN
ejpam-4832	361	32	,	,	PUNCT
ejpam-4832	361	33	s	s	X
ejpam-4832	361	34	)	)	PUNCT
ejpam-4832	361	35	∈	∈	PROPN
ejpam-4832	361	36	(	(	PUNCT
ejpam-4832	361	37	0	0	NUM
ejpam-4832	361	38	,	,	PUNCT
ejpam-4832	361	39	1]×	1]×	NUM
ejpam-4832	362	1	[	[	X
ejpam-4832	362	2	0	0	NUM
ejpam-4832	362	3	,	,	PUNCT
ejpam-4832	362	4	1	1	NUM
ejpam-4832	362	5	)	)	PUNCT
ejpam-4832	362	6	.	.	PUNCT
ejpam-4832	363	1	then	then	ADV
ejpam-4832	363	2	x(t	x(t	PROPN
ejpam-4832	363	3	,	,	PUNCT
ejpam-4832	363	4	s	s	NOUN
ejpam-4832	363	5	)	)	PUNCT
ejpam-4832	363	6	q	q	NOUN
ejpam-4832	363	7	i	i	PROPN
ejpam-4832	363	8	and	and	CCONJ
ejpam-4832	363	9	y(t	y(t	PROPN
ejpam-4832	363	10	,	,	PUNCT
ejpam-4832	363	11	s	s	NOUN
ejpam-4832	363	12	)	)	PUNCT
ejpam-4832	363	13	q	q	PROPN
ejpam-4832	363	14	i	i	PRON
ejpam-4832	363	15	,	,	PUNCT
ejpam-4832	363	16	that	that	ADV
ejpam-4832	363	17	is	is	ADV
ejpam-4832	363	18	,	,	PUNCT
ejpam-4832	363	19	fi(x)+	fi(x)+	ADP
ejpam-4832	363	20	t	t	PROPN
ejpam-4832	363	21	>	>	X
ejpam-4832	363	22	1	1	NUM
ejpam-4832	363	23	,	,	PUNCT
ejpam-4832	363	24	gi(x	gi(x	PUNCT
ejpam-4832	363	25	)	)	PUNCT
ejpam-4832	364	1	+	+	CCONJ
ejpam-4832	364	2	s	s	X
ejpam-4832	364	3	<	<	X
ejpam-4832	364	4	1	1	NUM
ejpam-4832	364	5	,	,	PUNCT
ejpam-4832	364	6	fi(y	fi(y	NOUN
ejpam-4832	364	7	)	)	PUNCT
ejpam-4832	364	8	+	+	CCONJ
ejpam-4832	364	9	t	t	X
ejpam-4832	364	10	>	>	X
ejpam-4832	364	11	1	1	NUM
ejpam-4832	364	12	and	and	CCONJ
ejpam-4832	364	13	gi(y	gi(y	NOUN
ejpam-4832	364	14	)	)	PUNCT
ejpam-4832	365	1	+	+	PRON
ejpam-4832	365	2	s	s	X
ejpam-4832	365	3	<	<	X
ejpam-4832	365	4	1	1	NUM
ejpam-4832	365	5	.	.	PUNCT
ejpam-4832	365	6	hence	hence	ADV
ejpam-4832	365	7	fi(x	fi(x	NUM
ejpam-4832	365	8	→	→	SYM
ejpam-4832	365	9	y	y	X
ejpam-4832	365	10	)	)	PUNCT
ejpam-4832	365	11	+	+	NOUN
ejpam-4832	365	12	t	t	PROPN
ejpam-4832	365	13	≥	≥	PROPN
ejpam-4832	365	14	min{fi(x	min{fi(x	PROPN
ejpam-4832	365	15	)	)	PUNCT
ejpam-4832	365	16	,	,	PUNCT
ejpam-4832	365	17	fi(y)}+	fi(y)}+	PROPN
ejpam-4832	365	18	t	t	NOUN
ejpam-4832	365	19	=	=	SYM
ejpam-4832	365	20	min{fi(x	min{fi(x	PROPN
ejpam-4832	365	21	)	)	PUNCT
ejpam-4832	365	22	+	+	NUM
ejpam-4832	365	23	t	t	PROPN
ejpam-4832	365	24	,	,	PUNCT
ejpam-4832	365	25	fi(y	fi(y	NOUN
ejpam-4832	365	26	)	)	PUNCT
ejpam-4832	366	1	+	+	NUM
ejpam-4832	366	2	t	t	X
ejpam-4832	366	3	}	}	PUNCT
ejpam-4832	366	4	>	>	X
ejpam-4832	366	5	1	1	NUM
ejpam-4832	366	6	and	and	CCONJ
ejpam-4832	366	7	gi(x	gi(x	NUM
ejpam-4832	366	8	→	→	SYM
ejpam-4832	366	9	y	y	X
ejpam-4832	366	10	)	)	PUNCT
ejpam-4832	366	11	+	+	PRON
ejpam-4832	366	12	s	s	NOUN
ejpam-4832	366	13	≤	≤	NUM
ejpam-4832	366	14	max{gi(x	max{gi(x	NOUN
ejpam-4832	366	15	)	)	PUNCT
ejpam-4832	366	16	,	,	PUNCT
ejpam-4832	366	17	gi(y)}+	gi(y)}+	PROPN
ejpam-4832	366	18	s	s	NOUN
ejpam-4832	366	19	=	=	SYM
ejpam-4832	366	20	max{gi(x	max{gi(x	PROPN
ejpam-4832	366	21	)	)	PUNCT
ejpam-4832	367	1	+	+	SYM
ejpam-4832	367	2	s	s	X
ejpam-4832	367	3	,	,	PUNCT
ejpam-4832	367	4	gi(y	gi(y	NOUN
ejpam-4832	367	5	)	)	PUNCT
ejpam-4832	368	1	+	+	SYM
ejpam-4832	368	2	s	s	X
ejpam-4832	368	3	}	}	PUNCT
ejpam-4832	368	4	<	<	X
ejpam-4832	368	5	1	1	NUM
ejpam-4832	368	6	,	,	PUNCT
ejpam-4832	368	7	and	and	CCONJ
ejpam-4832	368	8	so	so	ADV
ejpam-4832	368	9	(	(	PUNCT
ejpam-4832	368	10	x	x	X
ejpam-4832	368	11	→	→	SYM
ejpam-4832	368	12	y)(t	y)(t	PROPN
ejpam-4832	368	13	,	,	PUNCT
ejpam-4832	368	14	s	s	NOUN
ejpam-4832	368	15	)	)	PUNCT
ejpam-4832	368	16	q	q	PROPN
ejpam-4832	369	1	i	i	PRON
ejpam-4832	369	2	,	,	PUNCT
ejpam-4832	369	3	i.e.	i.e.	X
ejpam-4832	369	4	,	,	PUNCT
ejpam-4832	369	5	x	x	X
ejpam-4832	369	6	→	→	SYM
ejpam-4832	369	7	y	y	PROPN
ejpam-4832	369	8	∈	∈	PROPN
ejpam-4832	369	9	iq	iq	NOUN
ejpam-4832	369	10	(	(	PUNCT
ejpam-4832	369	11	t	t	PROPN
ejpam-4832	369	12	,	,	PUNCT
ejpam-4832	369	13	s	s	NOUN
ejpam-4832	369	14	)	)	PUNCT
ejpam-4832	369	15	.	.	PUNCT
ejpam-4832	370	1	consequently	consequently	ADV
ejpam-4832	370	2	,	,	PUNCT
ejpam-4832	370	3	iq	iq	PROPN
ejpam-4832	370	4	(	(	PUNCT
ejpam-4832	370	5	t	t	PROPN
ejpam-4832	370	6	,	,	PUNCT
ejpam-4832	370	7	s	s	PART
ejpam-4832	370	8	)	)	PUNCT
ejpam-4832	370	9	is	be	AUX
ejpam-4832	370	10	an	an	DET
ejpam-4832	370	11	ordered	order	VERB
ejpam-4832	370	12	subalgebra	subalgebra	NOUN
ejpam-4832	370	13	of	of	ADP
ejpam-4832	370	14	x	x	X
ejpam-4832	370	15	:	:	PUNCT
ejpam-4832	370	16	=	=	SYM
ejpam-4832	370	17	(	(	PUNCT
ejpam-4832	370	18	x	x	X
ejpam-4832	370	19	,	,	PUNCT
ejpam-4832	370	20	→	→	SYM
ejpam-4832	370	21	,	,	PUNCT
ejpam-4832	370	22	e	e	NOUN
ejpam-4832	370	23	,	,	PUNCT
ejpam-4832	370	24	≤x	≤x	PROPN
ejpam-4832	370	25	)	)	PUNCT
ejpam-4832	370	26	for	for	ADP
ejpam-4832	370	27	all	all	DET
ejpam-4832	370	28	(	(	PUNCT
ejpam-4832	370	29	t	t	PROPN
ejpam-4832	370	30	,	,	PUNCT
ejpam-4832	370	31	s	s	X
ejpam-4832	370	32	)	)	PUNCT
ejpam-4832	370	33	∈	∈	PROPN
ejpam-4832	370	34	(	(	PUNCT
ejpam-4832	370	35	0	0	NUM
ejpam-4832	370	36	,	,	PUNCT
ejpam-4832	370	37	1]×	1]×	NUM
ejpam-4832	371	1	[	[	X
ejpam-4832	371	2	0	0	NUM
ejpam-4832	371	3	,	,	PUNCT
ejpam-4832	371	4	1	1	NUM
ejpam-4832	371	5	)	)	PUNCT
ejpam-4832	371	6	.	.	PUNCT
ejpam-4832	372	1	the	the	DET
ejpam-4832	372	2	example	example	NOUN
ejpam-4832	372	3	below	below	ADP
ejpam-4832	372	4	describes	describe	NOUN
ejpam-4832	372	5	theorem	theorem	VERB
ejpam-4832	372	6	13	13	NUM
ejpam-4832	372	7	.	.	PUNCT
ejpam-4832	372	8	example	example	NOUN
ejpam-4832	373	1	3	3	X
ejpam-4832	373	2	.	.	X
ejpam-4832	373	3	consider	consider	VERB
ejpam-4832	373	4	the	the	DET
ejpam-4832	373	5	obci	obci	ADJ
ejpam-4832	373	6	-	-	PUNCT
ejpam-4832	373	7	algebra	algebra	NOUN
ejpam-4832	373	8	x	x	X
ejpam-4832	373	9	:	:	PUNCT
ejpam-4832	373	10	=	=	SYM
ejpam-4832	373	11	(	(	PUNCT
ejpam-4832	373	12	x	x	X
ejpam-4832	373	13	,	,	PUNCT
ejpam-4832	373	14	→	→	SYM
ejpam-4832	373	15	,	,	PUNCT
ejpam-4832	373	16	e	e	NOUN
ejpam-4832	373	17	,	,	PUNCT
ejpam-4832	373	18	≤x	≤x	PROPN
ejpam-4832	373	19	)	)	PUNCT
ejpam-4832	373	20	in	in	ADP
ejpam-4832	373	21	example	example	NOUN
ejpam-4832	373	22	2	2	X
ejpam-4832	373	23	.	.	PUNCT
ejpam-4832	373	24	define	define	VERB
ejpam-4832	373	25	an	an	DET
ejpam-4832	373	26	intuitionistic	intuitionistic	ADJ
ejpam-4832	373	27	fuzzy	fuzzy	ADJ
ejpam-4832	373	28	set	set	NOUN
ejpam-4832	373	29	i	i	PRON
ejpam-4832	373	30	:	:	PUNCT
ejpam-4832	373	31	=	=	X
ejpam-4832	373	32	{	{	PUNCT
ejpam-4832	373	33	⟨x	⟨x	VERB
ejpam-4832	373	34	,	,	PUNCT
ejpam-4832	373	35	fi	fi	NOUN
ejpam-4832	373	36	,	,	PUNCT
ejpam-4832	373	37	gi⟩	gi⟩	PROPN
ejpam-4832	373	38	|	|	ADV
ejpam-4832	373	39	x	x	X
ejpam-4832	373	40	∈	∈	NOUN
ejpam-4832	373	41	x	x	X
ejpam-4832	373	42	}	}	PUNCT
ejpam-4832	373	43	in	in	SCONJ
ejpam-4832	373	44	x	x	PUNCT
ejpam-4832	373	45	as	as	SCONJ
ejpam-4832	373	46	follows	follow	VERB
ejpam-4832	373	47	:	:	PUNCT
ejpam-4832	373	48	fi	fi	NOUN
ejpam-4832	373	49	:	:	PUNCT
ejpam-4832	373	50	x	x	X
ejpam-4832	373	51	→	→	SYM
ejpam-4832	374	1	[	[	X
ejpam-4832	374	2	0	0	NUM
ejpam-4832	374	3	,	,	PUNCT
ejpam-4832	374	4	1	1	NUM
ejpam-4832	374	5	]	]	PUNCT
ejpam-4832	374	6	,	,	PUNCT
ejpam-4832	374	7	x	x	PUNCT
ejpam-4832	374	8	7→	7→	NOUN
ejpam-4832	374	9			NOUN
ejpam-4832	374	10	0.74	0.74	NUM
ejpam-4832	374	11	if	if	SCONJ
ejpam-4832	374	12	x	x	PROPN
ejpam-4832	374	13	=	=	SYM
ejpam-4832	374	14	1	1	NUM
ejpam-4832	374	15	,	,	PUNCT
ejpam-4832	374	16	0.53	0.53	NUM
ejpam-4832	374	17	if	if	SCONJ
ejpam-4832	374	18	x	x	SYM
ejpam-4832	374	19	=	=	SYM
ejpam-4832	374	20	3	3	NUM
ejpam-4832	374	21	4	4	NUM
ejpam-4832	374	22	,	,	PUNCT
ejpam-4832	374	23	0.48	0.48	NUM
ejpam-4832	374	24	if	if	SCONJ
ejpam-4832	374	25	x	x	SYM
ejpam-4832	374	26	=	=	SYM
ejpam-4832	374	27	1	1	NUM
ejpam-4832	374	28	2	2	NUM
ejpam-4832	374	29	,	,	PUNCT
ejpam-4832	374	30	0.36	0.36	NUM
ejpam-4832	374	31	if	if	SCONJ
ejpam-4832	374	32	x	x	SYM
ejpam-4832	374	33	=	=	SYM
ejpam-4832	374	34	1	1	NUM
ejpam-4832	374	35	4	4	NUM
ejpam-4832	374	36	,	,	PUNCT
ejpam-4832	374	37	0.67	0.67	NUM
ejpam-4832	375	1	if	if	SCONJ
ejpam-4832	375	2	x	x	X
ejpam-4832	375	3	=	=	SYM
ejpam-4832	375	4	0	0	NUM
ejpam-4832	375	5	,	,	PUNCT
ejpam-4832	375	6	e.	e.	PROPN
ejpam-4832	375	7	h.	h.	PROPN
ejpam-4832	375	8	roh	roh	PROPN
ejpam-4832	375	9	,	,	PUNCT
ejpam-4832	375	10	e.	e.	PROPN
ejpam-4832	375	11	yang	yang	PROPN
ejpam-4832	375	12	,	,	PUNCT
ejpam-4832	375	13	y.	y.	PROPN
ejpam-4832	375	14	b.	b.	PROPN
ejpam-4832	375	15	jun	jun	PROPN
ejpam-4832	375	16	/	/	SYM
ejpam-4832	375	17	eur	eur	PROPN
ejpam-4832	375	18	.	.	PUNCT
ejpam-4832	376	1	j.	j.	PROPN
ejpam-4832	376	2	pure	pure	PROPN
ejpam-4832	376	3	appl	appl	PROPN
ejpam-4832	376	4	.	.	PROPN
ejpam-4832	376	5	math	math	PROPN
ejpam-4832	376	6	,	,	PUNCT
ejpam-4832	376	7	16	16	NUM
ejpam-4832	376	8	(	(	PUNCT
ejpam-4832	376	9	3	3	NUM
ejpam-4832	376	10	)	)	PUNCT
ejpam-4832	376	11	(	(	PUNCT
ejpam-4832	376	12	2023	2023	NUM
ejpam-4832	376	13	)	)	PUNCT
ejpam-4832	376	14	,	,	PUNCT
ejpam-4832	376	15	1342	1342	NUM
ejpam-4832	376	16	-	-	SYM
ejpam-4832	376	17	1358	1358	NUM
ejpam-4832	376	18	1355	1355	NUM
ejpam-4832	376	19	and	and	CCONJ
ejpam-4832	376	20	gi	gi	INTJ
ejpam-4832	376	21	:	:	PUNCT
ejpam-4832	376	22	x	x	X
ejpam-4832	377	1	→	→	PUNCT
ejpam-4832	377	2	[	[	X
ejpam-4832	377	3	0	0	NUM
ejpam-4832	377	4	,	,	PUNCT
ejpam-4832	377	5	1	1	NUM
ejpam-4832	377	6	]	]	PUNCT
ejpam-4832	377	7	,	,	PUNCT
ejpam-4832	377	8	x	x	PUNCT
ejpam-4832	377	9	7→	7→	NOUN
ejpam-4832	377	10			NOUN
ejpam-4832	377	11	0.24	0.24	NUM
ejpam-4832	377	12	if	if	SCONJ
ejpam-4832	377	13	x	x	NOUN
ejpam-4832	377	14	=	=	SYM
ejpam-4832	377	15	1	1	NUM
ejpam-4832	377	16	,	,	PUNCT
ejpam-4832	377	17	0.13	0.13	NUM
ejpam-4832	377	18	if	if	SCONJ
ejpam-4832	377	19	x	x	NOUN
ejpam-4832	377	20	=	=	SYM
ejpam-4832	377	21	3	3	NUM
ejpam-4832	377	22	4	4	NUM
ejpam-4832	377	23	,	,	PUNCT
ejpam-4832	377	24	0.21	0.21	NUM
ejpam-4832	378	1	if	if	SCONJ
ejpam-4832	378	2	x	x	SYM
ejpam-4832	378	3	=	=	SYM
ejpam-4832	378	4	1	1	NUM
ejpam-4832	378	5	2	2	NUM
ejpam-4832	378	6	,	,	PUNCT
ejpam-4832	378	7	0.46	0.46	NUM
ejpam-4832	378	8	if	if	SCONJ
ejpam-4832	378	9	x	x	PROPN
ejpam-4832	378	10	=	=	SYM
ejpam-4832	378	11	1	1	NUM
ejpam-4832	378	12	4	4	NUM
ejpam-4832	378	13	,	,	PUNCT
ejpam-4832	378	14	0.24	0.24	NUM
ejpam-4832	378	15	if	if	SCONJ
ejpam-4832	378	16	x	x	X
ejpam-4832	378	17	=	=	NOUN
ejpam-4832	378	18	0	0	NUM
ejpam-4832	378	19	.	.	PUNCT
ejpam-4832	379	1	the	the	DET
ejpam-4832	379	2	upper	upper	ADJ
ejpam-4832	379	3	t	t	PROPN
ejpam-4832	379	4	-	-	PUNCT
ejpam-4832	379	5	level	level	NOUN
ejpam-4832	379	6	set	set	VERB
ejpam-4832	379	7	u(fi	u(fi	PROPN
ejpam-4832	379	8	,	,	PUNCT
ejpam-4832	379	9	t	t	PROPN
ejpam-4832	379	10	)	)	PUNCT
ejpam-4832	379	11	and	and	CCONJ
ejpam-4832	379	12	the	the	DET
ejpam-4832	379	13	lower	low	ADJ
ejpam-4832	379	14	s	s	NOUN
ejpam-4832	379	15	-	-	PUNCT
ejpam-4832	379	16	level	level	NOUN
ejpam-4832	379	17	set	set	VERB
ejpam-4832	379	18	l(gi	l(gi	PROPN
ejpam-4832	379	19	,	,	PUNCT
ejpam-4832	379	20	s	s	PROPN
ejpam-4832	379	21	)	)	PUNCT
ejpam-4832	379	22	of	of	ADP
ejpam-4832	379	23	i	i	PRON
ejpam-4832	379	24	are	be	AUX
ejpam-4832	379	25	calculated	calculate	VERB
ejpam-4832	379	26	as	as	SCONJ
ejpam-4832	379	27	follows	follow	VERB
ejpam-4832	379	28	:	:	PUNCT
ejpam-4832	379	29	u(fi	u(fi	PROPN
ejpam-4832	379	30	,	,	PUNCT
ejpam-4832	379	31	t	t	PROPN
ejpam-4832	379	32	)	)	PUNCT
ejpam-4832	379	33	=	=	PUNCT
ejpam-4832	380	1			NOUN
ejpam-4832	380	2	∅	∅	NOUN
ejpam-4832	380	3	if	if	SCONJ
ejpam-4832	380	4	t	t	PROPN
ejpam-4832	380	5	∈	∈	PROPN
ejpam-4832	380	6	(	(	PUNCT
ejpam-4832	380	7	0.74	0.74	NUM
ejpam-4832	380	8	,	,	PUNCT
ejpam-4832	380	9	1	1	NUM
ejpam-4832	380	10	]	]	PUNCT
ejpam-4832	380	11	,	,	PUNCT
ejpam-4832	380	12	{	{	PUNCT
ejpam-4832	380	13	1	1	X
ejpam-4832	380	14	}	}	PUNCT
ejpam-4832	380	15	if	if	SCONJ
ejpam-4832	380	16	t	t	PROPN
ejpam-4832	380	17	∈	∈	PROPN
ejpam-4832	380	18	(	(	PUNCT
ejpam-4832	380	19	0.67	0.67	NUM
ejpam-4832	380	20	,	,	PUNCT
ejpam-4832	380	21	0.74	0.74	NUM
ejpam-4832	380	22	]	]	PUNCT
ejpam-4832	380	23	,	,	PUNCT
ejpam-4832	380	24	{	{	PUNCT
ejpam-4832	380	25	1	1	NUM
ejpam-4832	380	26	,	,	PUNCT
ejpam-4832	380	27	0	0	NUM
ejpam-4832	380	28	}	}	PUNCT
ejpam-4832	380	29	if	if	SCONJ
ejpam-4832	380	30	t	t	PROPN
ejpam-4832	380	31	∈	∈	PROPN
ejpam-4832	380	32	(	(	PUNCT
ejpam-4832	380	33	0.53	0.53	NUM
ejpam-4832	380	34	,	,	PUNCT
ejpam-4832	380	35	0.67	0.67	NUM
ejpam-4832	380	36	]	]	PUNCT
ejpam-4832	380	37	,	,	PUNCT
ejpam-4832	380	38	{	{	PUNCT
ejpam-4832	380	39	1	1	NUM
ejpam-4832	380	40	,	,	PUNCT
ejpam-4832	380	41	0	0	NUM
ejpam-4832	380	42	,	,	PUNCT
ejpam-4832	380	43	34	34	NUM
ejpam-4832	380	44	}	}	PUNCT
ejpam-4832	380	45	if	if	SCONJ
ejpam-4832	380	46	t	t	PROPN
ejpam-4832	380	47	∈	∈	PROPN
ejpam-4832	380	48	(	(	PUNCT
ejpam-4832	380	49	0.48	0.48	NUM
ejpam-4832	380	50	,	,	PUNCT
ejpam-4832	380	51	0.53	0.53	NUM
ejpam-4832	380	52	]	]	PUNCT
ejpam-4832	380	53	,	,	PUNCT
ejpam-4832	380	54	{	{	PUNCT
ejpam-4832	380	55	1	1	NUM
ejpam-4832	380	56	,	,	PUNCT
ejpam-4832	380	57	0	0	NUM
ejpam-4832	380	58	,	,	PUNCT
ejpam-4832	380	59	34	34	NUM
ejpam-4832	380	60	,	,	PUNCT
ejpam-4832	380	61	1	1	NUM
ejpam-4832	380	62	2	2	NUM
ejpam-4832	380	63	}	}	PUNCT
ejpam-4832	380	64	if	if	SCONJ
ejpam-4832	380	65	t	t	PROPN
ejpam-4832	380	66	∈	∈	PROPN
ejpam-4832	380	67	(	(	PUNCT
ejpam-4832	380	68	0.36	0.36	NUM
ejpam-4832	380	69	,	,	PUNCT
ejpam-4832	380	70	0.48	0.48	NUM
ejpam-4832	380	71	]	]	PUNCT
ejpam-4832	380	72	,	,	PUNCT
ejpam-4832	380	73	x	x	X
ejpam-4832	380	74	if	if	SCONJ
ejpam-4832	380	75	t	t	PROPN
ejpam-4832	380	76	∈	∈	PROPN
ejpam-4832	380	77	(	(	PUNCT
ejpam-4832	380	78	0	0	NUM
ejpam-4832	380	79	,	,	PUNCT
ejpam-4832	380	80	0.36	0.36	NUM
ejpam-4832	380	81	]	]	PUNCT
ejpam-4832	380	82	,	,	PUNCT
ejpam-4832	380	83	and	and	CCONJ
ejpam-4832	380	84	l(gi	l(gi	PROPN
ejpam-4832	380	85	,	,	PUNCT
ejpam-4832	380	86	s	s	AUX
ejpam-4832	380	87	)	)	PUNCT
ejpam-4832	380	88	=	=	PUNCT
ejpam-4832	380	89			NOUN
ejpam-4832	380	90	∅	∅	NOUN
ejpam-4832	380	91	if	if	SCONJ
ejpam-4832	380	92	s	s	X
ejpam-4832	380	93	∈	∈	PROPN
ejpam-4832	381	1	[	[	X
ejpam-4832	381	2	0	0	NUM
ejpam-4832	381	3	,	,	PUNCT
ejpam-4832	381	4	0.13	0.13	NUM
ejpam-4832	381	5	)	)	PUNCT
ejpam-4832	381	6	,	,	PUNCT
ejpam-4832	381	7	{	{	PUNCT
ejpam-4832	381	8	3	3	NUM
ejpam-4832	381	9	4	4	NUM
ejpam-4832	381	10	}	}	PUNCT
ejpam-4832	381	11	if	if	SCONJ
ejpam-4832	381	12	s	s	VERB
ejpam-4832	381	13	∈	∈	PROPN
ejpam-4832	382	1	[	[	X
ejpam-4832	382	2	0.13	0.13	NUM
ejpam-4832	382	3	,	,	PUNCT
ejpam-4832	382	4	0.21	0.21	NUM
ejpam-4832	382	5	)	)	PUNCT
ejpam-4832	382	6	,	,	PUNCT
ejpam-4832	382	7	{	{	PUNCT
ejpam-4832	382	8	3	3	NUM
ejpam-4832	382	9	4	4	NUM
ejpam-4832	382	10	,	,	PUNCT
ejpam-4832	382	11	1	1	NUM
ejpam-4832	382	12	2	2	NUM
ejpam-4832	382	13	}	}	PUNCT
ejpam-4832	382	14	if	if	SCONJ
ejpam-4832	382	15	s	s	X
ejpam-4832	382	16	∈	∈	PROPN
ejpam-4832	383	1	[	[	X
ejpam-4832	383	2	0.21	0.21	NUM
ejpam-4832	383	3	,	,	PUNCT
ejpam-4832	383	4	0.24	0.24	NUM
ejpam-4832	383	5	)	)	PUNCT
ejpam-4832	383	6	,	,	PUNCT
ejpam-4832	383	7	{	{	PUNCT
ejpam-4832	383	8	1	1	NUM
ejpam-4832	383	9	,	,	PUNCT
ejpam-4832	383	10	0	0	NUM
ejpam-4832	383	11	,	,	PUNCT
ejpam-4832	383	12	34	34	NUM
ejpam-4832	383	13	,	,	PUNCT
ejpam-4832	383	14	1	1	NUM
ejpam-4832	383	15	2	2	NUM
ejpam-4832	383	16	}	}	PUNCT
ejpam-4832	383	17	if	if	SCONJ
ejpam-4832	383	18	s	s	VERB
ejpam-4832	383	19	∈	∈	PROPN
ejpam-4832	384	1	[	[	X
ejpam-4832	384	2	0.24	0.24	NUM
ejpam-4832	384	3	,	,	PUNCT
ejpam-4832	384	4	0.46	0.46	NUM
ejpam-4832	384	5	)	)	PUNCT
ejpam-4832	384	6	,	,	PUNCT
ejpam-4832	384	7	x	x	X
ejpam-4832	384	8	if	if	SCONJ
ejpam-4832	384	9	s	s	X
ejpam-4832	384	10	∈	∈	PROPN
ejpam-4832	385	1	[	[	X
ejpam-4832	385	2	0.46	0.46	NUM
ejpam-4832	385	3	,	,	PUNCT
ejpam-4832	385	4	1	1	NUM
ejpam-4832	385	5	)	)	PUNCT
ejpam-4832	385	6	.	.	PUNCT
ejpam-4832	386	1	it	it	PRON
ejpam-4832	386	2	is	be	AUX
ejpam-4832	386	3	routine	routine	ADJ
ejpam-4832	386	4	to	to	PART
ejpam-4832	386	5	verify	verify	VERB
ejpam-4832	386	6	that	that	DET
ejpam-4832	386	7	u(fi	u(fi	NOUN
ejpam-4832	386	8	,	,	PUNCT
ejpam-4832	386	9	t	t	PROPN
ejpam-4832	386	10	)	)	PUNCT
ejpam-4832	386	11	and	and	CCONJ
ejpam-4832	386	12	l(gi	l(gi	PROPN
ejpam-4832	386	13	,	,	PUNCT
ejpam-4832	386	14	s	s	AUX
ejpam-4832	386	15	)	)	PUNCT
ejpam-4832	386	16	are	be	AUX
ejpam-4832	386	17	ordered	order	VERB
ejpam-4832	386	18	subalgebras	subalgebra	NOUN
ejpam-4832	386	19	of	of	ADP
ejpam-4832	386	20	x	x	X
ejpam-4832	386	21	:	:	PUNCT
ejpam-4832	386	22	=	=	SYM
ejpam-4832	386	23	(	(	PUNCT
ejpam-4832	386	24	x	x	X
ejpam-4832	386	25	,	,	PUNCT
ejpam-4832	386	26	→	→	SYM
ejpam-4832	386	27	,	,	PUNCT
ejpam-4832	386	28	e	e	NOUN
ejpam-4832	386	29	,	,	PUNCT
ejpam-4832	386	30	≤x	≤x	PROPN
ejpam-4832	386	31	)	)	PUNCT
ejpam-4832	386	32	for	for	ADP
ejpam-4832	386	33	all	all	DET
ejpam-4832	386	34	(	(	PUNCT
ejpam-4832	386	35	t	t	PROPN
ejpam-4832	386	36	,	,	PUNCT
ejpam-4832	386	37	s	s	X
ejpam-4832	386	38	)	)	PUNCT
ejpam-4832	386	39	∈	∈	PROPN
ejpam-4832	386	40	(	(	PUNCT
ejpam-4832	386	41	0	0	NUM
ejpam-4832	386	42	,	,	PUNCT
ejpam-4832	386	43	1	1	NUM
ejpam-4832	386	44	]	]	SYM
ejpam-4832	386	45	×	×	NOUN
ejpam-4832	387	1	[	[	X
ejpam-4832	387	2	0	0	NUM
ejpam-4832	387	3	,	,	PUNCT
ejpam-4832	387	4	1	1	NUM
ejpam-4832	387	5	)	)	PUNCT
ejpam-4832	387	6	.	.	PUNCT
ejpam-4832	388	1	hence	hence	ADV
ejpam-4832	388	2	i	i	PRON
ejpam-4832	388	3	:	:	PUNCT
ejpam-4832	388	4	=	=	X
ejpam-4832	388	5	{	{	PUNCT
ejpam-4832	388	6	⟨x	⟨x	VERB
ejpam-4832	388	7	,	,	PUNCT
ejpam-4832	388	8	fi	fi	NOUN
ejpam-4832	388	9	,	,	PUNCT
ejpam-4832	388	10	gi⟩	gi⟩	PROPN
ejpam-4832	388	11	|	|	ADV
ejpam-4832	388	12	x	x	SYM
ejpam-4832	388	13	∈	∈	NOUN
ejpam-4832	388	14	x	x	X
ejpam-4832	388	15	}	}	PUNCT
ejpam-4832	388	16	is	be	AUX
ejpam-4832	388	17	an	an	DET
ejpam-4832	388	18	intuitionistic	intuitionistic	ADJ
ejpam-4832	388	19	fuzzy	fuzzy	ADJ
ejpam-4832	388	20	ordered	order	VERB
ejpam-4832	388	21	subalgebra	subalgebra	NOUN
ejpam-4832	388	22	of	of	ADP
ejpam-4832	388	23	x	x	X
ejpam-4832	388	24	:	:	PUNCT
ejpam-4832	388	25	=	=	SYM
ejpam-4832	388	26	(	(	PUNCT
ejpam-4832	388	27	x	x	X
ejpam-4832	388	28	,	,	PUNCT
ejpam-4832	388	29	→	→	SYM
ejpam-4832	388	30	,	,	PUNCT
ejpam-4832	388	31	e	e	NOUN
ejpam-4832	388	32	,	,	PUNCT
ejpam-4832	388	33	≤x	≤x	PROPN
ejpam-4832	388	34	)	)	PUNCT
ejpam-4832	388	35	by	by	ADP
ejpam-4832	388	36	theorem	theorem	NOUN
ejpam-4832	388	37	10	10	NUM
ejpam-4832	388	38	.	.	PUNCT
ejpam-4832	389	1	the	the	DET
ejpam-4832	389	2	upper	upper	ADJ
ejpam-4832	389	3	q	q	ADJ
ejpam-4832	389	4	-	-	PUNCT
ejpam-4832	389	5	level	level	NOUN
ejpam-4832	389	6	sets	set	NOUN
ejpam-4832	389	7	q(fi	q(fi	PROPN
ejpam-4832	389	8	,	,	PUNCT
ejpam-4832	389	9	t	t	PROPN
ejpam-4832	389	10	)	)	PUNCT
ejpam-4832	389	11	related	relate	VERB
ejpam-4832	389	12	to	to	ADP
ejpam-4832	389	13	t	t	PROPN
ejpam-4832	389	14	are	be	AUX
ejpam-4832	389	15	provided	provide	VERB
ejpam-4832	389	16	by	by	ADP
ejpam-4832	389	17	tables	table	NOUN
ejpam-4832	389	18	3	3	NUM
ejpam-4832	389	19	.	.	PUNCT
ejpam-4832	389	20	table	table	NOUN
ejpam-4832	389	21	3	3	NUM
ejpam-4832	389	22	:	:	PUNCT
ejpam-4832	389	23	calculation	calculation	NOUN
ejpam-4832	389	24	of	of	ADP
ejpam-4832	389	25	q(fi	q(fi	PROPN
ejpam-4832	389	26	,	,	PUNCT
ejpam-4832	389	27	t	t	PROPN
ejpam-4832	389	28	)	)	PUNCT
ejpam-4832	389	29	t	t	PROPN
ejpam-4832	389	30	1−	1−	NUM
ejpam-4832	389	31	t	t	NOUN
ejpam-4832	389	32	q(fi	q(fi	PROPN
ejpam-4832	389	33	,	,	PUNCT
ejpam-4832	389	34	t	t	PROPN
ejpam-4832	389	35	)	)	PUNCT
ejpam-4832	389	36	(	(	PUNCT
ejpam-4832	389	37	0.74	0.74	NUM
ejpam-4832	389	38	,	,	PUNCT
ejpam-4832	389	39	1	1	NUM
ejpam-4832	389	40	]	]	PUNCT
ejpam-4832	390	1	[	[	X
ejpam-4832	390	2	0	0	NUM
ejpam-4832	390	3	,	,	PUNCT
ejpam-4832	390	4	0.26	0.26	NUM
ejpam-4832	390	5	)	)	PUNCT
ejpam-4832	390	6	x	x	SYM
ejpam-4832	390	7	(	(	PUNCT
ejpam-4832	390	8	0.67	0.67	NUM
ejpam-4832	390	9	,	,	PUNCT
ejpam-4832	390	10	0.74	0.74	NUM
ejpam-4832	390	11	]	]	PUNCT
ejpam-4832	391	1	[	[	X
ejpam-4832	391	2	0.26	0.26	NUM
ejpam-4832	391	3	,	,	PUNCT
ejpam-4832	391	4	0.33	0.33	NUM
ejpam-4832	391	5	)	)	PUNCT
ejpam-4832	391	6	x	x	X
ejpam-4832	391	7	(	(	PUNCT
ejpam-4832	391	8	0.53	0.53	NUM
ejpam-4832	391	9	,	,	PUNCT
ejpam-4832	391	10	0.67	0.67	NUM
ejpam-4832	391	11	]	]	PUNCT
ejpam-4832	392	1	[	[	X
ejpam-4832	392	2	0.33	0.33	NUM
ejpam-4832	392	3	,	,	PUNCT
ejpam-4832	392	4	0.47	0.47	NUM
ejpam-4832	392	5	)	)	PUNCT
ejpam-4832	392	6	x	x	NOUN
ejpam-4832	392	7	or	or	CCONJ
ejpam-4832	392	8	{	{	PUNCT
ejpam-4832	392	9	1	1	NUM
ejpam-4832	392	10	,	,	PUNCT
ejpam-4832	392	11	0	0	NUM
ejpam-4832	392	12	,	,	PUNCT
ejpam-4832	392	13	34	34	NUM
ejpam-4832	392	14	,	,	PUNCT
ejpam-4832	392	15	1	1	NUM
ejpam-4832	392	16	2	2	NUM
ejpam-4832	392	17	}	}	PUNCT
ejpam-4832	392	18	(	(	PUNCT
ejpam-4832	392	19	0.48	0.48	NUM
ejpam-4832	392	20	,	,	PUNCT
ejpam-4832	392	21	0.53	0.53	NUM
ejpam-4832	392	22	]	]	PUNCT
ejpam-4832	393	1	[	[	X
ejpam-4832	393	2	0.47	0.47	NUM
ejpam-4832	393	3	,	,	PUNCT
ejpam-4832	393	4	0.52	0.52	NUM
ejpam-4832	393	5	)	)	PUNCT
ejpam-4832	393	6	{	{	PUNCT
ejpam-4832	393	7	1	1	NUM
ejpam-4832	393	8	,	,	PUNCT
ejpam-4832	393	9	0	0	NUM
ejpam-4832	393	10	,	,	PUNCT
ejpam-4832	393	11	34	34	NUM
ejpam-4832	393	12	,	,	PUNCT
ejpam-4832	393	13	1	1	NUM
ejpam-4832	393	14	2	2	NUM
ejpam-4832	393	15	}	}	PUNCT
ejpam-4832	393	16	or	or	CCONJ
ejpam-4832	393	17	{	{	PUNCT
ejpam-4832	393	18	1	1	NUM
ejpam-4832	393	19	,	,	PUNCT
ejpam-4832	393	20	0	0	NUM
ejpam-4832	393	21	,	,	PUNCT
ejpam-4832	393	22	34	34	NUM
ejpam-4832	393	23	}	}	PUNCT
ejpam-4832	393	24	(	(	PUNCT
ejpam-4832	393	25	0.36	0.36	NUM
ejpam-4832	393	26	,	,	PUNCT
ejpam-4832	393	27	0.48	0.48	NUM
ejpam-4832	393	28	]	]	PUNCT
ejpam-4832	394	1	[	[	X
ejpam-4832	394	2	0.52	0.52	NUM
ejpam-4832	394	3	,	,	PUNCT
ejpam-4832	394	4	0.64	0.64	NUM
ejpam-4832	394	5	)	)	PUNCT
ejpam-4832	394	6	{	{	PUNCT
ejpam-4832	394	7	1	1	NUM
ejpam-4832	394	8	,	,	PUNCT
ejpam-4832	394	9	0	0	NUM
ejpam-4832	394	10	,	,	PUNCT
ejpam-4832	394	11	34	34	NUM
ejpam-4832	394	12	}	}	PUNCT
ejpam-4832	394	13	or	or	CCONJ
ejpam-4832	394	14	{	{	PUNCT
ejpam-4832	394	15	1	1	NUM
ejpam-4832	394	16	,	,	PUNCT
ejpam-4832	394	17	0	0	NUM
ejpam-4832	394	18	}	}	PUNCT
ejpam-4832	394	19	(	(	PUNCT
ejpam-4832	394	20	0	0	NUM
ejpam-4832	394	21	,	,	PUNCT
ejpam-4832	394	22	0.36	0.36	NUM
ejpam-4832	394	23	]	]	PUNCT
ejpam-4832	395	1	[	[	X
ejpam-4832	395	2	0.64	0.64	NUM
ejpam-4832	395	3	,	,	PUNCT
ejpam-4832	395	4	1	1	NUM
ejpam-4832	395	5	)	)	PUNCT
ejpam-4832	395	6	{	{	PUNCT
ejpam-4832	395	7	1	1	NUM
ejpam-4832	395	8	,	,	PUNCT
ejpam-4832	395	9	0	0	NUM
ejpam-4832	395	10	}	}	PUNCT
ejpam-4832	395	11	,	,	PUNCT
ejpam-4832	395	12	{	{	PUNCT
ejpam-4832	395	13	1	1	NUM
ejpam-4832	395	14	}	}	PUNCT
ejpam-4832	395	15	or	or	CCONJ
ejpam-4832	395	16	∅	∅	AUX
ejpam-4832	395	17	the	the	DET
ejpam-4832	395	18	lower	low	ADJ
ejpam-4832	395	19	q	q	ADJ
ejpam-4832	395	20	-	-	PUNCT
ejpam-4832	395	21	level	level	NOUN
ejpam-4832	395	22	sets	set	VERB
ejpam-4832	395	23	q(gi	q(gi	PROPN
ejpam-4832	395	24	,	,	PUNCT
ejpam-4832	395	25	s	s	X
ejpam-4832	395	26	)	)	PUNCT
ejpam-4832	395	27	related	relate	VERB
ejpam-4832	395	28	to	to	ADP
ejpam-4832	395	29	s	s	PRON
ejpam-4832	395	30	are	be	AUX
ejpam-4832	395	31	provided	provide	VERB
ejpam-4832	395	32	by	by	ADP
ejpam-4832	395	33	tables	table	NOUN
ejpam-4832	395	34	4	4	NUM
ejpam-4832	395	35	.	.	PUNCT
ejpam-4832	396	1	we	we	PRON
ejpam-4832	396	2	can	can	AUX
ejpam-4832	396	3	observe	observe	VERB
ejpam-4832	396	4	that	that	PRON
ejpam-4832	396	5	q(fi	q(fi	PROPN
ejpam-4832	396	6	,	,	PUNCT
ejpam-4832	396	7	t	t	PROPN
ejpam-4832	396	8	)	)	PUNCT
ejpam-4832	396	9	and	and	CCONJ
ejpam-4832	396	10	q(gi	q(gi	PROPN
ejpam-4832	396	11	,	,	PUNCT
ejpam-4832	396	12	s	s	AUX
ejpam-4832	396	13	)	)	PUNCT
ejpam-4832	396	14	are	be	AUX
ejpam-4832	396	15	ordered	order	VERB
ejpam-4832	396	16	subalgebras	subalgebra	NOUN
ejpam-4832	396	17	of	of	ADP
ejpam-4832	396	18	x	x	X
ejpam-4832	396	19	:	:	PUNCT
ejpam-4832	396	20	=	=	SYM
ejpam-4832	396	21	(	(	PUNCT
ejpam-4832	396	22	x	x	X
ejpam-4832	396	23	,	,	PUNCT
ejpam-4832	396	24	→	→	SYM
ejpam-4832	396	25	,	,	PUNCT
ejpam-4832	396	26	e	e	NOUN
ejpam-4832	396	27	,	,	PUNCT
ejpam-4832	396	28	≤x	≤x	PROPN
ejpam-4832	396	29	)	)	PUNCT
ejpam-4832	396	30	for	for	ADP
ejpam-4832	396	31	all	all	DET
ejpam-4832	396	32	(	(	PUNCT
ejpam-4832	396	33	t	t	PROPN
ejpam-4832	396	34	,	,	PUNCT
ejpam-4832	396	35	s	s	X
ejpam-4832	396	36	)	)	PUNCT
ejpam-4832	396	37	∈	∈	PROPN
ejpam-4832	396	38	(	(	PUNCT
ejpam-4832	396	39	0	0	NUM
ejpam-4832	396	40	,	,	PUNCT
ejpam-4832	396	41	1]×	1]×	NUM
ejpam-4832	397	1	[	[	X
ejpam-4832	397	2	0	0	NUM
ejpam-4832	397	3	,	,	PUNCT
ejpam-4832	397	4	1	1	NUM
ejpam-4832	397	5	)	)	PUNCT
ejpam-4832	397	6	.	.	PUNCT
ejpam-4832	398	1	hence	hence	ADV
ejpam-4832	398	2	iq	iq	INTJ
ejpam-4832	398	3	(	(	PUNCT
ejpam-4832	398	4	t	t	PROPN
ejpam-4832	398	5	,	,	PUNCT
ejpam-4832	398	6	s	s	PART
ejpam-4832	398	7	)	)	PUNCT
ejpam-4832	398	8	=	=	SYM
ejpam-4832	398	9	q(fi	q(fi	PROPN
ejpam-4832	398	10	,	,	PUNCT
ejpam-4832	398	11	t	t	PROPN
ejpam-4832	398	12	)	)	PUNCT
ejpam-4832	398	13	∩q(gi	∩q(gi	NOUN
ejpam-4832	398	14	,	,	PUNCT
ejpam-4832	398	15	s	s	AUX
ejpam-4832	398	16	)	)	PUNCT
ejpam-4832	398	17	is	be	AUX
ejpam-4832	398	18	an	an	DET
ejpam-4832	398	19	ordered	order	VERB
ejpam-4832	398	20	subalgebra	subalgebra	NOUN
ejpam-4832	398	21	of	of	ADP
ejpam-4832	398	22	x	x	X
ejpam-4832	398	23	:	:	PUNCT
ejpam-4832	398	24	=	=	SYM
ejpam-4832	398	25	(	(	PUNCT
ejpam-4832	398	26	x	x	X
ejpam-4832	398	27	,	,	PUNCT
ejpam-4832	398	28	→	→	SYM
ejpam-4832	398	29	,	,	PUNCT
ejpam-4832	398	30	e	e	NOUN
ejpam-4832	398	31	,	,	PUNCT
ejpam-4832	398	32	≤x	≤x	PROPN
ejpam-4832	398	33	)	)	PUNCT
ejpam-4832	398	34	for	for	ADP
ejpam-4832	398	35	all	all	DET
ejpam-4832	398	36	(	(	PUNCT
ejpam-4832	398	37	t	t	PROPN
ejpam-4832	398	38	,	,	PUNCT
ejpam-4832	398	39	s	s	X
ejpam-4832	398	40	)	)	PUNCT
ejpam-4832	398	41	∈	∈	PROPN
ejpam-4832	398	42	(	(	PUNCT
ejpam-4832	398	43	0	0	NUM
ejpam-4832	398	44	,	,	PUNCT
ejpam-4832	398	45	1	1	NUM
ejpam-4832	398	46	]	]	SYM
ejpam-4832	398	47	×	×	NOUN
ejpam-4832	398	48	[	[	X
ejpam-4832	398	49	0	0	NUM
ejpam-4832	398	50	,	,	PUNCT
ejpam-4832	398	51	1	1	NUM
ejpam-4832	398	52	)	)	PUNCT
ejpam-4832	398	53	,	,	PUNCT
ejpam-4832	398	54	and	and	CCONJ
ejpam-4832	398	55	they	they	PRON
ejpam-4832	398	56	are	be	AUX
ejpam-4832	398	57	displayed	display	VERB
ejpam-4832	398	58	as	as	SCONJ
ejpam-4832	398	59	follows	follow	VERB
ejpam-4832	398	60	:	:	PUNCT
ejpam-4832	398	61	{	{	PUNCT
ejpam-4832	398	62	1	1	NUM
ejpam-4832	398	63	}	}	PUNCT
ejpam-4832	398	64	,	,	PUNCT
ejpam-4832	398	65	{	{	PUNCT
ejpam-4832	398	66	3	3	NUM
ejpam-4832	398	67	4	4	NUM
ejpam-4832	398	68	}	}	PUNCT
ejpam-4832	398	69	,	,	PUNCT
ejpam-4832	398	70	{	{	PUNCT
ejpam-4832	398	71	1	1	NUM
ejpam-4832	398	72	,	,	PUNCT
ejpam-4832	398	73	0	0	NUM
ejpam-4832	398	74	}	}	PUNCT
ejpam-4832	398	75	,	,	PUNCT
ejpam-4832	398	76	{	{	PUNCT
ejpam-4832	398	77	3	3	NUM
ejpam-4832	398	78	4	4	NUM
ejpam-4832	398	79	,	,	PUNCT
ejpam-4832	398	80	1	1	NUM
ejpam-4832	398	81	2	2	NUM
ejpam-4832	398	82	}	}	PUNCT
ejpam-4832	398	83	,	,	PUNCT
ejpam-4832	398	84	{	{	PUNCT
ejpam-4832	398	85	1	1	NUM
ejpam-4832	398	86	,	,	PUNCT
ejpam-4832	398	87	0	0	NUM
ejpam-4832	398	88	,	,	PUNCT
ejpam-4832	398	89	3	3	NUM
ejpam-4832	398	90	4	4	NUM
ejpam-4832	398	91	}	}	PUNCT
ejpam-4832	398	92	,	,	PUNCT
ejpam-4832	398	93	{	{	PUNCT
ejpam-4832	398	94	1	1	NUM
ejpam-4832	398	95	,	,	PUNCT
ejpam-4832	398	96	0	0	NUM
ejpam-4832	398	97	,	,	PUNCT
ejpam-4832	398	98	3	3	NUM
ejpam-4832	398	99	4	4	NUM
ejpam-4832	398	100	,	,	PUNCT
ejpam-4832	398	101	1	1	NUM
ejpam-4832	398	102	2	2	NUM
ejpam-4832	398	103	}	}	PUNCT
ejpam-4832	398	104	and	and	CCONJ
ejpam-4832	398	105	x.	x.	PROPN
ejpam-4832	398	106	e.	e.	PROPN
ejpam-4832	398	107	h.	h.	PROPN
ejpam-4832	398	108	roh	roh	PROPN
ejpam-4832	398	109	,	,	PUNCT
ejpam-4832	398	110	e.	e.	PROPN
ejpam-4832	398	111	yang	yang	PROPN
ejpam-4832	398	112	,	,	PUNCT
ejpam-4832	398	113	y.	y.	PROPN
ejpam-4832	398	114	b.	b.	PROPN
ejpam-4832	398	115	jun	jun	PROPN
ejpam-4832	398	116	/	/	SYM
ejpam-4832	398	117	eur	eur	PROPN
ejpam-4832	398	118	.	.	PUNCT
ejpam-4832	399	1	j.	j.	PROPN
ejpam-4832	399	2	pure	pure	PROPN
ejpam-4832	399	3	appl	appl	PROPN
ejpam-4832	399	4	.	.	PROPN
ejpam-4832	399	5	math	math	PROPN
ejpam-4832	399	6	,	,	PUNCT
ejpam-4832	399	7	16	16	NUM
ejpam-4832	399	8	(	(	PUNCT
ejpam-4832	399	9	3	3	NUM
ejpam-4832	399	10	)	)	PUNCT
ejpam-4832	399	11	(	(	PUNCT
ejpam-4832	399	12	2023	2023	NUM
ejpam-4832	399	13	)	)	PUNCT
ejpam-4832	399	14	,	,	PUNCT
ejpam-4832	399	15	1342	1342	NUM
ejpam-4832	399	16	-	-	SYM
ejpam-4832	399	17	1358	1358	NUM
ejpam-4832	399	18	1356	1356	NUM
ejpam-4832	399	19	table	table	NOUN
ejpam-4832	399	20	4	4	NUM
ejpam-4832	399	21	:	:	PUNCT
ejpam-4832	399	22	calculation	calculation	NOUN
ejpam-4832	399	23	of	of	ADP
ejpam-4832	399	24	q(gi	q(gi	PROPN
ejpam-4832	399	25	,	,	PUNCT
ejpam-4832	399	26	s	s	X
ejpam-4832	399	27	)	)	PUNCT
ejpam-4832	399	28	s	s	PART
ejpam-4832	399	29	1−	1−	NUM
ejpam-4832	399	30	s	s	NOUN
ejpam-4832	399	31	q(gi	q(gi	PROPN
ejpam-4832	399	32	,	,	PUNCT
ejpam-4832	399	33	s	s	X
ejpam-4832	399	34	)	)	PUNCT
ejpam-4832	400	1	[	[	X
ejpam-4832	400	2	0	0	NUM
ejpam-4832	400	3	,	,	PUNCT
ejpam-4832	400	4	0.13	0.13	NUM
ejpam-4832	400	5	)	)	PUNCT
ejpam-4832	400	6	(	(	PUNCT
ejpam-4832	400	7	0.87	0.87	NUM
ejpam-4832	400	8	,	,	PUNCT
ejpam-4832	400	9	1	1	NUM
ejpam-4832	400	10	]	]	PUNCT
ejpam-4832	400	11	x	x	PUNCT
ejpam-4832	401	1	[	[	X
ejpam-4832	401	2	0.13	0.13	NUM
ejpam-4832	401	3	,	,	PUNCT
ejpam-4832	401	4	0.21	0.21	NUM
ejpam-4832	401	5	)	)	PUNCT
ejpam-4832	401	6	(	(	PUNCT
ejpam-4832	401	7	0.79	0.79	NUM
ejpam-4832	401	8	,	,	PUNCT
ejpam-4832	401	9	0.87	0.87	NUM
ejpam-4832	401	10	]	]	PUNCT
ejpam-4832	401	11	x	x	PUNCT
ejpam-4832	402	1	[	[	X
ejpam-4832	402	2	0.21	0.21	NUM
ejpam-4832	402	3	,	,	PUNCT
ejpam-4832	402	4	0.24	0.24	NUM
ejpam-4832	402	5	)	)	PUNCT
ejpam-4832	402	6	(	(	PUNCT
ejpam-4832	402	7	0.76	0.76	NUM
ejpam-4832	402	8	,	,	PUNCT
ejpam-4832	402	9	0.79	0.79	NUM
ejpam-4832	402	10	]	]	PUNCT
ejpam-4832	402	11	x	x	PUNCT
ejpam-4832	403	1	[	[	X
ejpam-4832	403	2	0.24	0.24	NUM
ejpam-4832	403	3	,	,	PUNCT
ejpam-4832	403	4	0.46	0.46	NUM
ejpam-4832	403	5	)	)	PUNCT
ejpam-4832	403	6	(	(	PUNCT
ejpam-4832	403	7	0.54	0.54	NUM
ejpam-4832	403	8	,	,	PUNCT
ejpam-4832	403	9	0.76	0.76	NUM
ejpam-4832	403	10	]	]	PUNCT
ejpam-4832	403	11	x	x	PUNCT
ejpam-4832	404	1	[	[	X
ejpam-4832	404	2	0.46	0.46	NUM
ejpam-4832	404	3	,	,	PUNCT
ejpam-4832	404	4	1	1	NUM
ejpam-4832	404	5	)	)	PUNCT
ejpam-4832	404	6	(	(	PUNCT
ejpam-4832	404	7	0	0	NUM
ejpam-4832	404	8	,	,	PUNCT
ejpam-4832	404	9	0.54	0.54	NUM
ejpam-4832	404	10	]	]	PUNCT
ejpam-4832	404	11	{	{	PUNCT
ejpam-4832	404	12	3	3	NUM
ejpam-4832	404	13	4	4	NUM
ejpam-4832	404	14	}	}	PUNCT
ejpam-4832	404	15	,	,	PUNCT
ejpam-4832	404	16	{	{	PUNCT
ejpam-4832	404	17	3	3	NUM
ejpam-4832	404	18	4	4	NUM
ejpam-4832	404	19	,	,	PUNCT
ejpam-4832	404	20	1	1	NUM
ejpam-4832	404	21	2	2	NUM
ejpam-4832	404	22	}	}	PUNCT
ejpam-4832	404	23	,	,	PUNCT
ejpam-4832	404	24	{	{	PUNCT
ejpam-4832	404	25	1	1	NUM
ejpam-4832	404	26	,	,	PUNCT
ejpam-4832	404	27	0	0	NUM
ejpam-4832	404	28	,	,	PUNCT
ejpam-4832	404	29	3	3	NUM
ejpam-4832	404	30	4	4	NUM
ejpam-4832	404	31	,	,	PUNCT
ejpam-4832	404	32	1	1	NUM
ejpam-4832	404	33	2	2	NUM
ejpam-4832	404	34	}	}	PUNCT
ejpam-4832	404	35	or	or	CCONJ
ejpam-4832	404	36	x	x	ADP
ejpam-4832	404	37	proposition	proposition	NOUN
ejpam-4832	404	38	2	2	NUM
ejpam-4832	404	39	.	.	PUNCT
ejpam-4832	405	1	let	let	VERB
ejpam-4832	405	2	i	i	PRON
ejpam-4832	405	3	:	:	PUNCT
ejpam-4832	405	4	=	=	X
ejpam-4832	405	5	{	{	PUNCT
ejpam-4832	405	6	⟨x	⟨x	VERB
ejpam-4832	405	7	,	,	PUNCT
ejpam-4832	405	8	fi	fi	NOUN
ejpam-4832	405	9	,	,	PUNCT
ejpam-4832	405	10	gi⟩	gi⟩	PROPN
ejpam-4832	405	11	|	|	ADV
ejpam-4832	405	12	x	x	SYM
ejpam-4832	405	13	∈	∈	PROPN
ejpam-4832	405	14	x	x	VERB
ejpam-4832	405	15	}	}	PUNCT
ejpam-4832	405	16	be	be	AUX
ejpam-4832	405	17	an	an	DET
ejpam-4832	405	18	intuitionistic	intuitionistic	ADJ
ejpam-4832	405	19	fuzzy	fuzzy	ADJ
ejpam-4832	405	20	set	set	NOUN
ejpam-4832	405	21	in	in	ADP
ejpam-4832	405	22	x.	x.	NOUN
ejpam-4832	405	23	for	for	ADP
ejpam-4832	405	24	every	every	DET
ejpam-4832	405	25	(	(	PUNCT
ejpam-4832	405	26	ti	ti	NOUN
ejpam-4832	405	27	,	,	PUNCT
ejpam-4832	405	28	si	si	ADJ
ejpam-4832	405	29	)	)	PUNCT
ejpam-4832	405	30	∈	∈	PROPN
ejpam-4832	405	31	(	(	PUNCT
ejpam-4832	405	32	0	0	NUM
ejpam-4832	405	33	,	,	PUNCT
ejpam-4832	405	34	0.5]×	0.5]×	NOUN
ejpam-4832	406	1	[	[	X
ejpam-4832	406	2	0.5	0.5	NUM
ejpam-4832	406	3	,	,	PUNCT
ejpam-4832	406	4	1	1	NUM
ejpam-4832	406	5	)	)	PUNCT
ejpam-4832	406	6	,	,	PUNCT
ejpam-4832	406	7	i	i	PRON
ejpam-4832	406	8	=	=	NOUN
ejpam-4832	406	9	1	1	NUM
ejpam-4832	406	10	,	,	PUNCT
ejpam-4832	406	11	2	2	NUM
ejpam-4832	406	12	,	,	PUNCT
ejpam-4832	406	13	if	if	SCONJ
ejpam-4832	406	14	the	the	DET
ejpam-4832	406	15	q(ti	q(ti	NOUN
ejpam-4832	406	16	,	,	PUNCT
ejpam-4832	406	17	si)-level	si)-level	NOUN
ejpam-4832	406	18	set	set	NOUN
ejpam-4832	406	19	of	of	ADP
ejpam-4832	406	20	i	i	PRON
ejpam-4832	406	21	is	be	AUX
ejpam-4832	406	22	an	an	DET
ejpam-4832	406	23	ordered	order	VERB
ejpam-4832	406	24	subalgebra	subalgebra	NOUN
ejpam-4832	406	25	of	of	ADP
ejpam-4832	406	26	x	x	X
ejpam-4832	406	27	:	:	PUNCT
ejpam-4832	406	28	=	=	SYM
ejpam-4832	406	29	(	(	PUNCT
ejpam-4832	406	30	x	x	X
ejpam-4832	406	31	,	,	PUNCT
ejpam-4832	406	32	→	→	SYM
ejpam-4832	406	33	,	,	PUNCT
ejpam-4832	406	34	e	e	NOUN
ejpam-4832	406	35	,	,	PUNCT
ejpam-4832	406	36	≤x	≤x	PROPN
ejpam-4832	406	37	)	)	PUNCT
ejpam-4832	406	38	,	,	PUNCT
ejpam-4832	406	39	then	then	ADV
ejpam-4832	406	40	i	i	PRON
ejpam-4832	406	41	:	:	PUNCT
ejpam-4832	406	42	=	=	X
ejpam-4832	406	43	{	{	PUNCT
ejpam-4832	406	44	⟨x	⟨x	VERB
ejpam-4832	406	45	,	,	PUNCT
ejpam-4832	406	46	fi	fi	NOUN
ejpam-4832	406	47	,	,	PUNCT
ejpam-4832	406	48	gi⟩	gi⟩	PROPN
ejpam-4832	406	49	|	|	ADV
ejpam-4832	406	50	x	x	SYM
ejpam-4832	406	51	∈	∈	NOUN
ejpam-4832	406	52	x	x	PRON
ejpam-4832	406	53	}	}	PUNCT
ejpam-4832	406	54	satisfies	satisfie	NOUN
ejpam-4832	406	55	:	:	PUNCT
ejpam-4832	406	56	(	(	PUNCT
ejpam-4832	406	57	∀x	∀x	X
ejpam-4832	406	58	,	,	PUNCT
ejpam-4832	406	59	y	y	PROPN
ejpam-4832	406	60	∈	∈	PROPN
ejpam-4832	406	61	x	x	NOUN
ejpam-4832	406	62	)	)	PUNCT
ejpam-4832	406	63			NOUN
ejpam-4832	406	64	{	{	PUNCT
ejpam-4832	406	65	x	x	PUNCT
ejpam-4832	406	66	∈	∈	NOUN
ejpam-4832	406	67	iq	iq	NOUN
ejpam-4832	406	68	(	(	PUNCT
ejpam-4832	406	69	t1,s1	t1,s1	PROPN
ejpam-4832	406	70	)	)	PUNCT
ejpam-4832	406	71	,	,	PUNCT
ejpam-4832	406	72	e	e	X
ejpam-4832	406	73	≤e	≤e	VERB
ejpam-4832	406	74	x	x	PUNCT
ejpam-4832	406	75	y	y	PROPN
ejpam-4832	406	76	∈	∈	PROPN
ejpam-4832	406	77	iq	iq	NOUN
ejpam-4832	406	78	(	(	PUNCT
ejpam-4832	406	79	t2,s2	t2,s2	PROPN
ejpam-4832	406	80	)	)	PUNCT
ejpam-4832	406	81	,	,	PUNCT
ejpam-4832	407	1	e	e	X
ejpam-4832	407	2	≤e	≤e	VERB
ejpam-4832	407	3	y	y	PROPN
ejpam-4832	407	4	}	}	PUNCT
ejpam-4832	407	5	⇒	⇒	VERB
ejpam-4832	407	6	x	x	PUNCT
ejpam-4832	407	7	→	→	SYM
ejpam-4832	407	8	y	y	PROPN
ejpam-4832	407	9	∈	∈	PROPN
ejpam-4832	407	10	i∈	i∈	ADP
ejpam-4832	407	11	(	(	PUNCT
ejpam-4832	407	12	max{t1,t2},min{s1,s2	max{t1,t2},min{s1,s2	PROPN
ejpam-4832	407	13	}	}	PUNCT
ejpam-4832	407	14	)	)	PUNCT
ejpam-4832	407	15			PROPN
ejpam-4832	407	16	.	.	PUNCT
ejpam-4832	408	1	(	(	PUNCT
ejpam-4832	408	2	33	33	NUM
ejpam-4832	408	3	)	)	PUNCT
ejpam-4832	408	4	proof	proof	NOUN
ejpam-4832	408	5	.	.	PUNCT
ejpam-4832	409	1	assume	assume	VERB
ejpam-4832	409	2	that	that	SCONJ
ejpam-4832	409	3	the	the	DET
ejpam-4832	409	4	q(ti	q(ti	NOUN
ejpam-4832	409	5	,	,	PUNCT
ejpam-4832	409	6	si)-level	si)-level	NOUN
ejpam-4832	409	7	set	set	NOUN
ejpam-4832	409	8	i	i	PRON
ejpam-4832	409	9	q	q	X
ejpam-4832	409	10	(	(	PUNCT
ejpam-4832	409	11	ti	ti	X
ejpam-4832	409	12	,	,	PUNCT
ejpam-4832	409	13	si	si	NOUN
ejpam-4832	409	14	)	)	PUNCT
ejpam-4832	409	15	is	be	AUX
ejpam-4832	409	16	an	an	DET
ejpam-4832	409	17	ordered	order	VERB
ejpam-4832	409	18	subalgebra	subalgebra	NOUN
ejpam-4832	409	19	of	of	ADP
ejpam-4832	409	20	x	x	X
ejpam-4832	409	21	:	:	PUNCT
ejpam-4832	409	22	=	=	SYM
ejpam-4832	409	23	(	(	PUNCT
ejpam-4832	409	24	x	x	X
ejpam-4832	409	25	,	,	PUNCT
ejpam-4832	409	26	→	→	SYM
ejpam-4832	409	27	,	,	PUNCT
ejpam-4832	409	28	e	e	NOUN
ejpam-4832	409	29	,	,	PUNCT
ejpam-4832	409	30	≤x	≤x	PROPN
ejpam-4832	409	31	)	)	PUNCT
ejpam-4832	409	32	for	for	ADP
ejpam-4832	409	33	all	all	DET
ejpam-4832	409	34	(	(	PUNCT
ejpam-4832	409	35	ti	ti	NOUN
ejpam-4832	409	36	,	,	PUNCT
ejpam-4832	409	37	si	si	ADJ
ejpam-4832	409	38	)	)	PUNCT
ejpam-4832	409	39	∈	∈	PROPN
ejpam-4832	409	40	(	(	PUNCT
ejpam-4832	409	41	0	0	NUM
ejpam-4832	409	42	,	,	PUNCT
ejpam-4832	409	43	0.5]×	0.5]×	NOUN
ejpam-4832	410	1	[	[	X
ejpam-4832	410	2	0.5	0.5	NUM
ejpam-4832	410	3	,	,	PUNCT
ejpam-4832	410	4	1	1	NUM
ejpam-4832	410	5	)	)	PUNCT
ejpam-4832	410	6	,	,	PUNCT
ejpam-4832	410	7	i	i	PRON
ejpam-4832	410	8	=	=	NOUN
ejpam-4832	410	9	1	1	NUM
ejpam-4832	410	10	,	,	PUNCT
ejpam-4832	410	11	2	2	NUM
ejpam-4832	410	12	,	,	PUNCT
ejpam-4832	410	13	let	let	VERB
ejpam-4832	410	14	x	x	PRON
ejpam-4832	410	15	,	,	PUNCT
ejpam-4832	410	16	y	y	PROPN
ejpam-4832	410	17	∈	∈	PROPN
ejpam-4832	410	18	x	x	X
ejpam-4832	410	19	and	and	CCONJ
ejpam-4832	410	20	(	(	PUNCT
ejpam-4832	410	21	ti	ti	NOUN
ejpam-4832	410	22	,	,	PUNCT
ejpam-4832	410	23	si	si	ADJ
ejpam-4832	410	24	)	)	PUNCT
ejpam-4832	410	25	∈	∈	PROPN
ejpam-4832	410	26	(	(	PUNCT
ejpam-4832	410	27	0	0	NUM
ejpam-4832	410	28	,	,	PUNCT
ejpam-4832	410	29	0.5]×	0.5]×	NOUN
ejpam-4832	411	1	[	[	X
ejpam-4832	411	2	0.5	0.5	NUM
ejpam-4832	411	3	,	,	PUNCT
ejpam-4832	411	4	1	1	NUM
ejpam-4832	411	5	)	)	PUNCT
ejpam-4832	411	6	be	be	AUX
ejpam-4832	411	7	such	such	ADJ
ejpam-4832	411	8	that	that	SCONJ
ejpam-4832	411	9	x	x	SYM
ejpam-4832	411	10	∈	∈	PROPN
ejpam-4832	411	11	iq	iq	NOUN
ejpam-4832	411	12	(	(	PUNCT
ejpam-4832	411	13	t1,s1	t1,s1	PROPN
ejpam-4832	411	14	)	)	PUNCT
ejpam-4832	411	15	,	,	PUNCT
ejpam-4832	411	16	y	y	PROPN
ejpam-4832	411	17	∈	∈	PROPN
ejpam-4832	411	18	iq	iq	NOUN
ejpam-4832	411	19	(	(	PUNCT
ejpam-4832	411	20	t2,s2	t2,s2	PROPN
ejpam-4832	411	21	)	)	PUNCT
ejpam-4832	411	22	,	,	PUNCT
ejpam-4832	412	1	e	e	X
ejpam-4832	412	2	≤e	≤e	VERB
ejpam-4832	412	3	x	x	PUNCT
ejpam-4832	412	4	and	and	CCONJ
ejpam-4832	412	5	e	e	AUX
ejpam-4832	412	6	≤e	≤e	VERB
ejpam-4832	412	7	y.	y.	PROPN
ejpam-4832	412	8	then	then	ADV
ejpam-4832	412	9	1	1	NUM
ejpam-4832	412	10	<	<	X
ejpam-4832	412	11	fi(x	fi(x	NUM
ejpam-4832	412	12	)	)	PUNCT
ejpam-4832	412	13	+	+	CCONJ
ejpam-4832	412	14	t1	t1	PROPN
ejpam-4832	412	15	≤	≤	NUM
ejpam-4832	412	16	fi(x	fi(x	NUM
ejpam-4832	412	17	)	)	PUNCT
ejpam-4832	413	1	+	+	CCONJ
ejpam-4832	413	2	max{t1	max{t1	NOUN
ejpam-4832	413	3	,	,	PUNCT
ejpam-4832	413	4	t2	t2	NOUN
ejpam-4832	413	5	}	}	PUNCT
ejpam-4832	413	6	,	,	PUNCT
ejpam-4832	413	7	1	1	NUM
ejpam-4832	413	8	<	<	X
ejpam-4832	413	9	fi(y	fi(y	NOUN
ejpam-4832	413	10	)	)	PUNCT
ejpam-4832	413	11	+	+	CCONJ
ejpam-4832	413	12	t2	t2	PROPN
ejpam-4832	413	13	≤	≤	NUM
ejpam-4832	413	14	fi(y	fi(y	NOUN
ejpam-4832	413	15	)	)	PUNCT
ejpam-4832	413	16	+	+	CCONJ
ejpam-4832	413	17	max{t1	max{t1	NOUN
ejpam-4832	413	18	,	,	PUNCT
ejpam-4832	413	19	t2	t2	NOUN
ejpam-4832	413	20	}	}	PUNCT
ejpam-4832	413	21	,	,	PUNCT
ejpam-4832	413	22	1	1	NUM
ejpam-4832	413	23	>	>	PUNCT
ejpam-4832	413	24	gi(x	gi(x	PUNCT
ejpam-4832	413	25	)	)	PUNCT
ejpam-4832	414	1	+	+	CCONJ
ejpam-4832	414	2	s1	s1	NOUN
ejpam-4832	414	3	≥	≥	NOUN
ejpam-4832	414	4	gi(x	gi(x	NUM
ejpam-4832	414	5	)	)	PUNCT
ejpam-4832	414	6	+	+	CCONJ
ejpam-4832	414	7	min{s1	min{s1	NOUN
ejpam-4832	414	8	,	,	PUNCT
ejpam-4832	414	9	s2	s2	PROPN
ejpam-4832	414	10	}	}	PUNCT
ejpam-4832	414	11	,	,	PUNCT
ejpam-4832	414	12	1	1	NUM
ejpam-4832	414	13	>	>	SYM
ejpam-4832	414	14	gi(y	gi(y	X
ejpam-4832	414	15	)	)	PUNCT
ejpam-4832	414	16	+	+	CCONJ
ejpam-4832	414	17	s2	s2	X
ejpam-4832	414	18	≥	≥	X
ejpam-4832	414	19	gi(y	gi(y	NUM
ejpam-4832	414	20	)	)	PUNCT
ejpam-4832	414	21	+	+	CCONJ
ejpam-4832	414	22	min{s1	min{s1	NOUN
ejpam-4832	414	23	,	,	PUNCT
ejpam-4832	414	24	s2	s2	NOUN
ejpam-4832	414	25	}	}	PUNCT
ejpam-4832	414	26	.	.	PUNCT
ejpam-4832	415	1	hence	hence	ADV
ejpam-4832	415	2	x	x	X
ejpam-4832	415	3	,	,	PUNCT
ejpam-4832	415	4	y	y	PROPN
ejpam-4832	415	5	∈	∈	PROPN
ejpam-4832	415	6	iq	iq	NOUN
ejpam-4832	415	7	(	(	PUNCT
ejpam-4832	415	8	max{t1,t2},min{s1,s2	max{t1,t2},min{s1,s2	PROPN
ejpam-4832	415	9	}	}	PUNCT
ejpam-4832	415	10	)	)	PUNCT
ejpam-4832	415	11	,	,	PUNCT
ejpam-4832	415	12	and	and	CCONJ
ejpam-4832	415	13	so	so	ADV
ejpam-4832	415	14	x	x	X
ejpam-4832	415	15	→	→	SYM
ejpam-4832	415	16	y	y	PROPN
ejpam-4832	415	17	∈	∈	PROPN
ejpam-4832	415	18	iq	iq	NOUN
ejpam-4832	415	19	(	(	PUNCT
ejpam-4832	415	20	max{t1,t2},min{s1,s2	max{t1,t2},min{s1,s2	PROPN
ejpam-4832	415	21	}	}	PUNCT
ejpam-4832	415	22	)	)	PUNCT
ejpam-4832	415	23	since	since	SCONJ
ejpam-4832	415	24	max{t1	max{t1	PRON
ejpam-4832	415	25	,	,	PUNCT
ejpam-4832	415	26	t2	t2	NOUN
ejpam-4832	415	27	}	}	PUNCT
ejpam-4832	415	28	∈	∈	PROPN
ejpam-4832	415	29	(	(	PUNCT
ejpam-4832	415	30	0	0	NUM
ejpam-4832	415	31	,	,	PUNCT
ejpam-4832	415	32	0.5	0.5	NUM
ejpam-4832	415	33	]	]	PUNCT
ejpam-4832	415	34	,	,	PUNCT
ejpam-4832	415	35	min{s1	min{s1	NOUN
ejpam-4832	415	36	,	,	PUNCT
ejpam-4832	415	37	s2	s2	VERB
ejpam-4832	415	38	}	}	PUNCT
ejpam-4832	415	39	∈	∈	PROPN
ejpam-4832	416	1	[	[	X
ejpam-4832	416	2	0.5	0.5	NUM
ejpam-4832	416	3	,	,	PUNCT
ejpam-4832	416	4	1	1	NUM
ejpam-4832	416	5	)	)	PUNCT
ejpam-4832	417	1	and	and	CCONJ
ejpam-4832	417	2	iq	iq	X
ejpam-4832	417	3	(	(	PUNCT
ejpam-4832	417	4	max{t1,t2},min{s1,s2	max{t1,t2},min{s1,s2	PROPN
ejpam-4832	417	5	}	}	PUNCT
ejpam-4832	417	6	)	)	PUNCT
ejpam-4832	417	7	is	be	AUX
ejpam-4832	417	8	an	an	DET
ejpam-4832	417	9	ordered	order	VERB
ejpam-4832	417	10	subalgebra	subalgebra	NOUN
ejpam-4832	417	11	of	of	ADP
ejpam-4832	417	12	x	x	X
ejpam-4832	417	13	:	:	PUNCT
ejpam-4832	417	14	=	=	SYM
ejpam-4832	417	15	(	(	PUNCT
ejpam-4832	417	16	x	x	X
ejpam-4832	417	17	,	,	PUNCT
ejpam-4832	417	18	→	→	SYM
ejpam-4832	417	19	,	,	PUNCT
ejpam-4832	417	20	e	e	NOUN
ejpam-4832	417	21	,	,	PUNCT
ejpam-4832	417	22	≤x	≤x	PROPN
ejpam-4832	417	23	)	)	PUNCT
ejpam-4832	417	24	.	.	PUNCT
ejpam-4832	418	1	thus	thus	ADV
ejpam-4832	418	2	fi(x	fi(x	NUM
ejpam-4832	418	3	→	→	SYM
ejpam-4832	418	4	y	y	X
ejpam-4832	418	5	)	)	PUNCT
ejpam-4832	418	6	>	>	X
ejpam-4832	418	7	1−max{t1	1−max{t1	NUM
ejpam-4832	418	8	,	,	PUNCT
ejpam-4832	418	9	t2	t2	NOUN
ejpam-4832	418	10	}	}	PUNCT
ejpam-4832	418	11	≥	≥	NOUN
ejpam-4832	418	12	max{t1	max{t1	NOUN
ejpam-4832	418	13	,	,	PUNCT
ejpam-4832	418	14	t2	t2	NOUN
ejpam-4832	418	15	}	}	PUNCT
ejpam-4832	418	16	and	and	CCONJ
ejpam-4832	418	17	gi(x	gi(x	NUM
ejpam-4832	418	18	→	→	SYM
ejpam-4832	418	19	y	y	X
ejpam-4832	418	20	)	)	PUNCT
ejpam-4832	418	21	<	<	X
ejpam-4832	418	22	1−min{s1	1−min{s1	NUM
ejpam-4832	418	23	,	,	PUNCT
ejpam-4832	418	24	s2	s2	NOUN
ejpam-4832	418	25	}	}	PUNCT
ejpam-4832	418	26	≤	≤	NOUN
ejpam-4832	418	27	min{s1	min{s1	NOUN
ejpam-4832	418	28	,	,	PUNCT
ejpam-4832	418	29	s2	s2	NOUN
ejpam-4832	418	30	}	}	PUNCT
ejpam-4832	418	31	because	because	SCONJ
ejpam-4832	418	32	of	of	ADP
ejpam-4832	418	33	max{t1	max{t1	NOUN
ejpam-4832	418	34	,	,	PUNCT
ejpam-4832	418	35	t2	t2	NOUN
ejpam-4832	418	36	}	}	PUNCT
ejpam-4832	418	37	≤	≤	NOUN
ejpam-4832	418	38	0.5	0.5	NUM
ejpam-4832	418	39	and	and	CCONJ
ejpam-4832	418	40	min{s1	min{s1	NOUN
ejpam-4832	418	41	,	,	PUNCT
ejpam-4832	418	42	s2	s2	PROPN
ejpam-4832	418	43	}	}	PUNCT
ejpam-4832	418	44	≥	≥	NUM
ejpam-4832	418	45	0.5	0.5	NUM
ejpam-4832	418	46	.	.	PUNCT
ejpam-4832	419	1	therefore	therefore	ADV
ejpam-4832	419	2	x	x	X
ejpam-4832	419	3	→	→	SYM
ejpam-4832	419	4	y	y	PROPN
ejpam-4832	419	5	∈	∈	PROPN
ejpam-4832	419	6	i∈	i∈	ADP
ejpam-4832	419	7	(	(	PUNCT
ejpam-4832	419	8	max{t1,t2},min{s1,s2	max{t1,t2},min{s1,s2	PROPN
ejpam-4832	419	9	}	}	PUNCT
ejpam-4832	419	10	)	)	PUNCT
ejpam-4832	419	11	which	which	PRON
ejpam-4832	419	12	shows	show	VERB
ejpam-4832	419	13	that	that	SCONJ
ejpam-4832	419	14	(	(	PUNCT
ejpam-4832	419	15	33	33	NUM
ejpam-4832	419	16	)	)	PUNCT
ejpam-4832	419	17	is	be	AUX
ejpam-4832	419	18	valid	valid	ADJ
ejpam-4832	419	19	.	.	PUNCT
ejpam-4832	420	1	proposition	proposition	NOUN
ejpam-4832	420	2	3	3	X
ejpam-4832	420	3	.	.	PUNCT
ejpam-4832	421	1	let	let	VERB
ejpam-4832	421	2	i	i	PRON
ejpam-4832	421	3	:	:	PUNCT
ejpam-4832	421	4	=	=	X
ejpam-4832	421	5	{	{	PUNCT
ejpam-4832	421	6	⟨x	⟨x	VERB
ejpam-4832	421	7	,	,	PUNCT
ejpam-4832	421	8	fi	fi	NOUN
ejpam-4832	421	9	,	,	PUNCT
ejpam-4832	421	10	gi⟩	gi⟩	PROPN
ejpam-4832	421	11	|	|	ADV
ejpam-4832	421	12	x	x	SYM
ejpam-4832	421	13	∈	∈	PROPN
ejpam-4832	421	14	x	x	VERB
ejpam-4832	421	15	}	}	PUNCT
ejpam-4832	421	16	be	be	AUX
ejpam-4832	421	17	an	an	DET
ejpam-4832	421	18	intuitionistic	intuitionistic	ADJ
ejpam-4832	421	19	fuzzy	fuzzy	ADJ
ejpam-4832	421	20	set	set	NOUN
ejpam-4832	421	21	in	in	ADP
ejpam-4832	421	22	x.	x.	NOUN
ejpam-4832	421	23	for	for	ADP
ejpam-4832	421	24	every	every	DET
ejpam-4832	421	25	(	(	PUNCT
ejpam-4832	421	26	ti	ti	NOUN
ejpam-4832	421	27	,	,	PUNCT
ejpam-4832	421	28	si	si	ADJ
ejpam-4832	421	29	)	)	PUNCT
ejpam-4832	421	30	∈	∈	PROPN
ejpam-4832	421	31	(	(	PUNCT
ejpam-4832	421	32	0.5	0.5	NUM
ejpam-4832	421	33	,	,	PUNCT
ejpam-4832	421	34	1]×[0	1]×[0	NUM
ejpam-4832	421	35	,	,	PUNCT
ejpam-4832	421	36	0.5	0.5	NUM
ejpam-4832	421	37	)	)	PUNCT
ejpam-4832	421	38	,	,	PUNCT
ejpam-4832	422	1	i	i	PRON
ejpam-4832	422	2	=	=	NOUN
ejpam-4832	422	3	1	1	NUM
ejpam-4832	422	4	,	,	PUNCT
ejpam-4832	422	5	2	2	NUM
ejpam-4832	422	6	,	,	PUNCT
ejpam-4832	422	7	,	,	PUNCT
ejpam-4832	422	8	if	if	SCONJ
ejpam-4832	422	9	the	the	DET
ejpam-4832	422	10	q(ti	q(ti	NOUN
ejpam-4832	422	11	,	,	PUNCT
ejpam-4832	422	12	si)-level	si)-level	NOUN
ejpam-4832	422	13	set	set	NOUN
ejpam-4832	422	14	of	of	ADP
ejpam-4832	422	15	i	i	PRON
ejpam-4832	422	16	is	be	AUX
ejpam-4832	422	17	an	an	DET
ejpam-4832	422	18	ordered	order	VERB
ejpam-4832	422	19	subalgebra	subalgebra	NOUN
ejpam-4832	422	20	references	reference	NOUN
ejpam-4832	422	21	1357	1357	NUM
ejpam-4832	422	22	of	of	ADP
ejpam-4832	422	23	x	x	X
ejpam-4832	422	24	:	:	PUNCT
ejpam-4832	422	25	=	=	SYM
ejpam-4832	422	26	(	(	PUNCT
ejpam-4832	422	27	x	x	X
ejpam-4832	422	28	,	,	PUNCT
ejpam-4832	422	29	→	→	SYM
ejpam-4832	422	30	,	,	PUNCT
ejpam-4832	422	31	e	e	NOUN
ejpam-4832	422	32	,	,	PUNCT
ejpam-4832	422	33	≤x	≤x	PROPN
ejpam-4832	422	34	)	)	PUNCT
ejpam-4832	422	35	,	,	PUNCT
ejpam-4832	422	36	then	then	ADV
ejpam-4832	422	37	i	i	PRON
ejpam-4832	422	38	:	:	PUNCT
ejpam-4832	422	39	=	=	X
ejpam-4832	422	40	{	{	PUNCT
ejpam-4832	422	41	⟨x	⟨x	VERB
ejpam-4832	422	42	,	,	PUNCT
ejpam-4832	422	43	fi	fi	NOUN
ejpam-4832	422	44	,	,	PUNCT
ejpam-4832	422	45	gi⟩	gi⟩	PROPN
ejpam-4832	422	46	|	|	ADV
ejpam-4832	422	47	x	x	SYM
ejpam-4832	422	48	∈	∈	NOUN
ejpam-4832	422	49	x	x	PRON
ejpam-4832	422	50	}	}	PUNCT
ejpam-4832	422	51	satisfies	satisfie	NOUN
ejpam-4832	422	52	:	:	PUNCT
ejpam-4832	422	53	(	(	PUNCT
ejpam-4832	422	54	∀x	∀x	X
ejpam-4832	422	55	,	,	PUNCT
ejpam-4832	422	56	y	y	PROPN
ejpam-4832	422	57	∈	∈	PROPN
ejpam-4832	422	58	x	x	NOUN
ejpam-4832	422	59	)	)	PUNCT
ejpam-4832	422	60			NOUN
ejpam-4832	422	61	{	{	PUNCT
ejpam-4832	422	62	x	x	PUNCT
ejpam-4832	422	63	∈	∈	NOUN
ejpam-4832	422	64	i∈	i∈	ADP
ejpam-4832	422	65	(	(	PUNCT
ejpam-4832	422	66	t1,s1	t1,s1	PROPN
ejpam-4832	422	67	)	)	PUNCT
ejpam-4832	422	68	,	,	PUNCT
ejpam-4832	422	69	e	e	X
ejpam-4832	422	70	≤e	≤e	VERB
ejpam-4832	422	71	x	x	PUNCT
ejpam-4832	422	72	y	y	PROPN
ejpam-4832	422	73	∈	∈	PROPN
ejpam-4832	422	74	i∈	i∈	ADP
ejpam-4832	422	75	(	(	PUNCT
ejpam-4832	422	76	t2,s2	t2,s2	PROPN
ejpam-4832	422	77	)	)	PUNCT
ejpam-4832	422	78	,	,	PUNCT
ejpam-4832	422	79	e	e	AUX
ejpam-4832	422	80	≤e	≤e	VERB
ejpam-4832	422	81	y	y	PROPN
ejpam-4832	422	82	}	}	PUNCT
ejpam-4832	422	83	⇒	⇒	VERB
ejpam-4832	422	84	x	x	PUNCT
ejpam-4832	422	85	→	→	SYM
ejpam-4832	422	86	y	y	PROPN
ejpam-4832	422	87	∈	∈	PROPN
ejpam-4832	422	88	iq	iq	NOUN
ejpam-4832	422	89	(	(	PUNCT
ejpam-4832	422	90	max{t1,t2},min{s1,s2	max{t1,t2},min{s1,s2	PROPN
ejpam-4832	422	91	}	}	PUNCT
ejpam-4832	422	92	)	)	PUNCT
ejpam-4832	422	93			PROPN
ejpam-4832	422	94	.	.	PUNCT
ejpam-4832	423	1	(	(	PUNCT
ejpam-4832	423	2	34	34	NUM
ejpam-4832	423	3	)	)	PUNCT
ejpam-4832	423	4	proof	proof	NOUN
ejpam-4832	423	5	.	.	PUNCT
ejpam-4832	424	1	suppose	suppose	VERB
ejpam-4832	424	2	that	that	SCONJ
ejpam-4832	424	3	the	the	DET
ejpam-4832	424	4	q(ti	q(ti	PROPN
ejpam-4832	424	5	,	,	PUNCT
ejpam-4832	424	6	si)-level	si)-level	NOUN
ejpam-4832	424	7	set	set	NOUN
ejpam-4832	424	8	i	i	PRON
ejpam-4832	424	9	q	q	X
ejpam-4832	424	10	(	(	PUNCT
ejpam-4832	424	11	ti	ti	X
ejpam-4832	424	12	,	,	PUNCT
ejpam-4832	424	13	si	si	NOUN
ejpam-4832	424	14	)	)	PUNCT
ejpam-4832	424	15	is	be	AUX
ejpam-4832	424	16	an	an	DET
ejpam-4832	424	17	ordered	order	VERB
ejpam-4832	424	18	subalgebra	subalgebra	NOUN
ejpam-4832	424	19	of	of	ADP
ejpam-4832	424	20	x	x	X
ejpam-4832	424	21	:	:	PUNCT
ejpam-4832	424	22	=	=	SYM
ejpam-4832	424	23	(	(	PUNCT
ejpam-4832	424	24	x	x	X
ejpam-4832	424	25	,	,	PUNCT
ejpam-4832	424	26	→	→	SYM
ejpam-4832	424	27	,	,	PUNCT
ejpam-4832	424	28	e	e	NOUN
ejpam-4832	424	29	,	,	PUNCT
ejpam-4832	424	30	≤x	≤x	PROPN
ejpam-4832	424	31	)	)	PUNCT
ejpam-4832	424	32	for	for	ADP
ejpam-4832	424	33	all	all	DET
ejpam-4832	424	34	(	(	PUNCT
ejpam-4832	424	35	ti	ti	NOUN
ejpam-4832	424	36	,	,	PUNCT
ejpam-4832	424	37	si	si	ADJ
ejpam-4832	424	38	)	)	PUNCT
ejpam-4832	424	39	∈	∈	PROPN
ejpam-4832	424	40	(	(	PUNCT
ejpam-4832	424	41	0.5	0.5	NUM
ejpam-4832	424	42	,	,	PUNCT
ejpam-4832	424	43	1]×[0	1]×[0	NUM
ejpam-4832	424	44	,	,	PUNCT
ejpam-4832	424	45	0.5	0.5	NUM
ejpam-4832	424	46	)	)	PUNCT
ejpam-4832	424	47	,	,	PUNCT
ejpam-4832	424	48	i	i	PRON
ejpam-4832	424	49	=	=	NOUN
ejpam-4832	424	50	1	1	NUM
ejpam-4832	424	51	,	,	PUNCT
ejpam-4832	424	52	2	2	NUM
ejpam-4832	424	53	.	.	X
ejpam-4832	425	1	let	let	VERB
ejpam-4832	425	2	x	x	PRON
ejpam-4832	425	3	,	,	PUNCT
ejpam-4832	425	4	y	y	PROPN
ejpam-4832	425	5	∈	∈	PROPN
ejpam-4832	425	6	x	x	X
ejpam-4832	425	7	and	and	CCONJ
ejpam-4832	425	8	(	(	PUNCT
ejpam-4832	425	9	ti	ti	NOUN
ejpam-4832	425	10	,	,	PUNCT
ejpam-4832	425	11	si	si	ADJ
ejpam-4832	425	12	)	)	PUNCT
ejpam-4832	425	13	∈	∈	PROPN
ejpam-4832	425	14	(	(	PUNCT
ejpam-4832	425	15	0.5	0.5	NUM
ejpam-4832	425	16	,	,	PUNCT
ejpam-4832	425	17	1]×[0	1]×[0	NUM
ejpam-4832	425	18	,	,	PUNCT
ejpam-4832	425	19	0.5	0.5	NUM
ejpam-4832	425	20	)	)	PUNCT
ejpam-4832	425	21	be	be	AUX
ejpam-4832	425	22	such	such	ADJ
ejpam-4832	425	23	that	that	SCONJ
ejpam-4832	425	24	x	x	SYM
ejpam-4832	425	25	∈	∈	NOUN
ejpam-4832	425	26	i∈	i∈	ADP
ejpam-4832	425	27	(	(	PUNCT
ejpam-4832	425	28	t1,s1	t1,s1	PROPN
ejpam-4832	425	29	)	)	PUNCT
ejpam-4832	425	30	,	,	PUNCT
ejpam-4832	425	31	y	y	PROPN
ejpam-4832	425	32	∈	∈	PROPN
ejpam-4832	425	33	i∈	i∈	ADP
ejpam-4832	425	34	(	(	PUNCT
ejpam-4832	425	35	t2,s2	t2,s2	PROPN
ejpam-4832	425	36	)	)	PUNCT
ejpam-4832	425	37	,	,	PUNCT
ejpam-4832	425	38	e	e	X
ejpam-4832	425	39	≤e	≤e	VERB
ejpam-4832	425	40	x	x	PUNCT
ejpam-4832	425	41	and	and	CCONJ
ejpam-4832	425	42	e	e	AUX
ejpam-4832	425	43	≤e	≤e	VERB
ejpam-4832	425	44	y.	y.	PROPN
ejpam-4832	425	45	then	then	ADV
ejpam-4832	425	46	fi(x	fi(x	NUM
ejpam-4832	425	47	)	)	PUNCT
ejpam-4832	425	48	≥	≥	PROPN
ejpam-4832	425	49	t1	t1	NOUN
ejpam-4832	425	50	>	>	X
ejpam-4832	425	51	1−	1−	NUM
ejpam-4832	425	52	t1	t1	NOUN
ejpam-4832	425	53	,	,	PUNCT
ejpam-4832	425	54	gi(x	gi(x	PROPN
ejpam-4832	425	55	)	)	PUNCT
ejpam-4832	426	1	≤	≤	NUM
ejpam-4832	426	2	s1	s1	NOUN
ejpam-4832	426	3	<	<	X
ejpam-4832	426	4	1−	1−	NUM
ejpam-4832	426	5	s1	s1	NOUN
ejpam-4832	426	6	,	,	PUNCT
ejpam-4832	426	7	fi(y	fi(y	NOUN
ejpam-4832	426	8	)	)	PUNCT
ejpam-4832	426	9	≥	≥	NOUN
ejpam-4832	426	10	t2	t2	PROPN
ejpam-4832	426	11	>	>	X
ejpam-4832	426	12	1−	1−	NUM
ejpam-4832	426	13	t2	t2	NOUN
ejpam-4832	426	14	,	,	PUNCT
ejpam-4832	426	15	gi(y	gi(y	NOUN
ejpam-4832	426	16	)	)	PUNCT
ejpam-4832	426	17	≤	≤	NUM
ejpam-4832	426	18	s2	s2	NOUN
ejpam-4832	426	19	<	<	X
ejpam-4832	426	20	1−	1−	NUM
ejpam-4832	426	21	s2	s2	PROPN
ejpam-4832	426	22	,	,	PUNCT
ejpam-4832	426	23	i.e.	i.e.	X
ejpam-4832	426	24	,	,	PUNCT
ejpam-4832	426	25	x(t1,s1	x(t1,s1	NOUN
ejpam-4832	426	26	)	)	PUNCT
ejpam-4832	426	27	q	q	PROPN
ejpam-4832	427	1	i	i	PROPN
ejpam-4832	427	2	and	and	CCONJ
ejpam-4832	427	3	y(t2,s2	y(t2,s2	NOUN
ejpam-4832	427	4	)	)	PUNCT
ejpam-4832	427	5	q	q	PROPN
ejpam-4832	427	6	i.	i.	NOUN
ejpam-4832	427	7	hence	hence	ADV
ejpam-4832	427	8	x	x	PROPN
ejpam-4832	427	9	∈	∈	NOUN
ejpam-4832	427	10	iq	iq	NOUN
ejpam-4832	427	11	(	(	PUNCT
ejpam-4832	427	12	t1,s1	t1,s1	PROPN
ejpam-4832	427	13	)	)	PUNCT
ejpam-4832	428	1	⊆	⊆	NUM
ejpam-4832	428	2	iq	iq	NOUN
ejpam-4832	428	3	(	(	PUNCT
ejpam-4832	428	4	max{t1,t2},min{s1,s2	max{t1,t2},min{s1,s2	PROPN
ejpam-4832	428	5	}	}	PUNCT
ejpam-4832	428	6	)	)	PUNCT
ejpam-4832	428	7	and	and	CCONJ
ejpam-4832	428	8	y	y	PROPN
ejpam-4832	428	9	∈	∈	PROPN
ejpam-4832	428	10	iq	iq	NOUN
ejpam-4832	428	11	(	(	PUNCT
ejpam-4832	428	12	t2,s2	t2,s2	PROPN
ejpam-4832	428	13	)	)	PUNCT
ejpam-4832	428	14	⊆	⊆	NUM
ejpam-4832	428	15	iq	iq	NOUN
ejpam-4832	428	16	(	(	PUNCT
ejpam-4832	428	17	max{t1,t2},min{s1,s2	max{t1,t2},min{s1,s2	PROPN
ejpam-4832	428	18	}	}	PUNCT
ejpam-4832	428	19	)	)	PUNCT
ejpam-4832	428	20	.	.	PUNCT
ejpam-4832	429	1	since	since	SCONJ
ejpam-4832	429	2	max{t1	max{t1	PRON
ejpam-4832	429	3	,	,	PUNCT
ejpam-4832	429	4	t2	t2	NOUN
ejpam-4832	429	5	}	}	PUNCT
ejpam-4832	429	6	∈	∈	PROPN
ejpam-4832	429	7	(	(	PUNCT
ejpam-4832	429	8	0.5	0.5	NUM
ejpam-4832	429	9	,	,	PUNCT
ejpam-4832	429	10	1	1	NUM
ejpam-4832	429	11	]	]	PUNCT
ejpam-4832	429	12	,	,	PUNCT
ejpam-4832	429	13	min{s1	min{s1	NOUN
ejpam-4832	429	14	,	,	PUNCT
ejpam-4832	429	15	s2	s2	VERB
ejpam-4832	429	16	}	}	PUNCT
ejpam-4832	429	17	∈	∈	PROPN
ejpam-4832	430	1	[	[	X
ejpam-4832	430	2	0.0.5	0.0.5	NOUN
ejpam-4832	430	3	)	)	PUNCT
ejpam-4832	430	4	and	and	CCONJ
ejpam-4832	430	5	max{t1	max{t1	NOUN
ejpam-4832	430	6	,	,	PUNCT
ejpam-4832	430	7	t2}+	t2}+	PRON
ejpam-4832	430	8	min{s1	min{s1	PROPN
ejpam-4832	430	9	,	,	PUNCT
ejpam-4832	430	10	s2	s2	NOUN
ejpam-4832	430	11	}	}	PUNCT
ejpam-4832	430	12	≤	≤	NUM
ejpam-4832	430	13	1	1	NUM
ejpam-4832	430	14	,	,	PUNCT
ejpam-4832	430	15	it	it	PRON
ejpam-4832	430	16	follows	follow	VERB
ejpam-4832	430	17	from	from	ADP
ejpam-4832	430	18	the	the	DET
ejpam-4832	430	19	hypothesis	hypothesis	NOUN
ejpam-4832	430	20	that	that	PRON
ejpam-4832	430	21	iq	iq	INTJ
ejpam-4832	430	22	(	(	PUNCT
ejpam-4832	430	23	max{t1,t2},min{s1,s2	max{t1,t2},min{s1,s2	PROPN
ejpam-4832	430	24	}	}	PUNCT
ejpam-4832	430	25	)	)	PUNCT
ejpam-4832	430	26	is	be	AUX
ejpam-4832	430	27	an	an	DET
ejpam-4832	430	28	ordered	order	VERB
ejpam-4832	430	29	subalgebra	subalgebra	NOUN
ejpam-4832	430	30	of	of	ADP
ejpam-4832	430	31	x	x	X
ejpam-4832	430	32	:	:	PUNCT
ejpam-4832	430	33	=	=	SYM
ejpam-4832	430	34	(	(	PUNCT
ejpam-4832	430	35	x	x	X
ejpam-4832	430	36	,	,	PUNCT
ejpam-4832	430	37	→	→	SYM
ejpam-4832	430	38	,	,	PUNCT
ejpam-4832	430	39	e	e	NOUN
ejpam-4832	430	40	,	,	PUNCT
ejpam-4832	430	41	≤x	≤x	PROPN
ejpam-4832	430	42	)	)	PUNCT
ejpam-4832	430	43	.	.	PUNCT
ejpam-4832	431	1	hence	hence	ADV
ejpam-4832	431	2	x	x	X
ejpam-4832	431	3	→	→	SYM
ejpam-4832	431	4	y	y	PROPN
ejpam-4832	431	5	∈	∈	PROPN
ejpam-4832	431	6	iq	iq	NOUN
ejpam-4832	431	7	(	(	PUNCT
ejpam-4832	431	8	max{t1,t2},min{s1,s2	max{t1,t2},min{s1,s2	PROPN
ejpam-4832	431	9	}	}	PUNCT
ejpam-4832	431	10	)	)	PUNCT
ejpam-4832	431	11	.	.	PUNCT
ejpam-4832	432	1	references	reference	NOUN
ejpam-4832	432	2	[	[	X
ejpam-4832	432	3	1	1	NUM
ejpam-4832	432	4	]	]	PUNCT
ejpam-4832	432	5	k.	k.	PROPN
ejpam-4832	432	6	atanassov	atanassov	PROPN
ejpam-4832	432	7	.	.	PUNCT
ejpam-4832	433	1	intuitionistic	intuitionistic	ADJ
ejpam-4832	433	2	fuzzy	fuzzy	ADJ
ejpam-4832	433	3	sets	set	NOUN
ejpam-4832	433	4	.	.	PUNCT
ejpam-4832	434	1	vii	vii	PROPN
ejpam-4832	434	2	itkrs	itkrs	PROPN
ejpam-4832	434	3	session	session	NOUN
ejpam-4832	434	4	,	,	PUNCT
ejpam-4832	434	5	deposed	depose	VERB
ejpam-4832	434	6	in	in	ADP
ejpam-4832	434	7	central	central	PROPN
ejpam-4832	434	8	sci.techn	sci.techn	NOUN
ejpam-4832	434	9	.	.	PUNCT
ejpam-4832	434	10	library	library	NOUN
ejpam-4832	434	11	of	of	ADP
ejpam-4832	434	12	bulg	bulg	PROPN
ejpam-4832	434	13	.	.	PUNCT
ejpam-4832	434	14	acd	acd	PROPN
ejpam-4832	434	15	.	.	PUNCT
ejpam-4832	434	16	of	of	ADP
ejpam-4832	434	17	sci	sci	PROPN
ejpam-4832	434	18	.	.	PROPN
ejpam-4832	434	19	,	,	PUNCT
ejpam-4832	434	20	pages	page	NOUN
ejpam-4832	434	21	1684–1697	1684–1697	NUM
ejpam-4832	434	22	,	,	PUNCT
ejpam-4832	434	23	1983	1983	NUM
ejpam-4832	434	24	.	.	PUNCT
ejpam-4832	435	1	[	[	X
ejpam-4832	435	2	2	2	NUM
ejpam-4832	435	3	]	]	PUNCT
ejpam-4832	435	4	k.	k.	PROPN
ejpam-4832	435	5	atanassov	atanassov	PROPN
ejpam-4832	435	6	.	.	PUNCT
ejpam-4832	436	1	intuitionistic	intuitionistic	ADJ
ejpam-4832	436	2	fuzzy	fuzzy	ADJ
ejpam-4832	436	3	sets	set	NOUN
ejpam-4832	436	4	.	.	PUNCT
ejpam-4832	437	1	fuzzy	fuzzy	ADJ
ejpam-4832	437	2	sets	set	NOUN
ejpam-4832	437	3	and	and	CCONJ
ejpam-4832	437	4	systems	system	NOUN
ejpam-4832	437	5	,	,	PUNCT
ejpam-4832	437	6	20(1):87–96	20(1):87–96	NUM
ejpam-4832	437	7	,	,	PUNCT
ejpam-4832	437	8	1986	1986	NUM
ejpam-4832	437	9	.	.	PUNCT
ejpam-4832	438	1	[	[	X
ejpam-4832	438	2	3	3	X
ejpam-4832	438	3	]	]	PUNCT
ejpam-4832	438	4	k.	k.	PROPN
ejpam-4832	438	5	atanassov	atanassov	PROPN
ejpam-4832	438	6	.	.	PUNCT
ejpam-4832	439	1	two	two	NUM
ejpam-4832	439	2	operators	operator	NOUN
ejpam-4832	439	3	on	on	ADP
ejpam-4832	439	4	intuitionistic	intuitionistic	ADJ
ejpam-4832	439	5	fuzzy	fuzzy	ADJ
ejpam-4832	439	6	sets	set	NOUN
ejpam-4832	439	7	.	.	PUNCT
ejpam-4832	440	1	comptes	compte	VERB
ejpam-4832	440	2	rendus	rendus	PROPN
ejpam-4832	440	3	acaémi	acaémi	PROPN
ejpam-4832	440	4	bulgare	bulgare	VERB
ejpam-4832	440	5	sci	sci	PROPN
ejpam-4832	440	6	.	.	PROPN
ejpam-4832	440	7	tome	tome	PROPN
ejpam-4832	440	8	,	,	PUNCT
ejpam-4832	440	9	41	41	NUM
ejpam-4832	440	10	,	,	PUNCT
ejpam-4832	440	11	1988	1988	NUM
ejpam-4832	440	12	.	.	PUNCT
ejpam-4832	441	1	[	[	X
ejpam-4832	441	2	4	4	X
ejpam-4832	441	3	]	]	PUNCT
ejpam-4832	441	4	k.	k.	PROPN
ejpam-4832	441	5	atanassov	atanassov	PROPN
ejpam-4832	441	6	.	.	PUNCT
ejpam-4832	442	1	more	more	ADV
ejpam-4832	442	2	on	on	ADP
ejpam-4832	442	3	intuitionistic	intuitionistic	ADJ
ejpam-4832	442	4	fuzzy	fuzzy	ADJ
ejpam-4832	442	5	sets	set	NOUN
ejpam-4832	442	6	.	.	PUNCT
ejpam-4832	443	1	fuzzy	fuzzy	ADJ
ejpam-4832	443	2	sets	set	NOUN
ejpam-4832	443	3	and	and	CCONJ
ejpam-4832	443	4	systems	system	NOUN
ejpam-4832	443	5	,	,	PUNCT
ejpam-4832	443	6	33(1):37–45	33(1):37–45	NUM
ejpam-4832	443	7	,	,	PUNCT
ejpam-4832	443	8	1989	1989	NUM
ejpam-4832	443	9	.	.	PUNCT
ejpam-4832	444	1	[	[	X
ejpam-4832	444	2	5	5	X
ejpam-4832	444	3	]	]	X
ejpam-4832	444	4	d.	d.	PROPN
ejpam-4832	444	5	çoker	çoker	PROPN
ejpam-4832	444	6	and	and	CCONJ
ejpam-4832	444	7	m.	m.	NOUN
ejpam-4832	444	8	demirci	demirci	PROPN
ejpam-4832	444	9	.	.	PUNCT
ejpam-4832	445	1	on	on	ADP
ejpam-4832	445	2	intuitionistic	intuitionistic	ADJ
ejpam-4832	445	3	fuzzy	fuzzy	ADJ
ejpam-4832	445	4	points	point	NOUN
ejpam-4832	445	5	.	.	PUNCT
ejpam-4832	446	1	notes	notes	PROPN
ejpam-4832	446	2	ifs	ifs	PROPN
ejpam-4832	446	3	,	,	PUNCT
ejpam-4832	446	4	1(2):79–84	1(2):79–84	NUM
ejpam-4832	446	5	,	,	PUNCT
ejpam-4832	446	6	1995	1995	NUM
ejpam-4832	446	7	.	.	PUNCT
ejpam-4832	447	1	[	[	X
ejpam-4832	447	2	6	6	NUM
ejpam-4832	447	3	]	]	PUNCT
ejpam-4832	447	4	b.	b.	PROPN
ejpam-4832	447	5	davvaz	davvaz	PROPN
ejpam-4832	447	6	.	.	PUNCT
ejpam-4832	448	1	(	(	PUNCT
ejpam-4832	448	2	∈,∈∨q)-fuzzy	∈,∈∨q)-fuzzy	VERB
ejpam-4832	448	3	subnear	subnear	NOUN
ejpam-4832	448	4	-	-	PUNCT
ejpam-4832	448	5	rings	ring	NOUN
ejpam-4832	448	6	and	and	CCONJ
ejpam-4832	448	7	ideals	ideal	NOUN
ejpam-4832	448	8	.	.	PUNCT
ejpam-4832	449	1	soft	soft	ADJ
ejpam-4832	449	2	comput	comput	NOUN
ejpam-4832	449	3	.	.	PUNCT
ejpam-4832	450	1	,	,	PUNCT
ejpam-4832	450	2	10:206–211	10:206–211	PROPN
ejpam-4832	450	3	,	,	PUNCT
ejpam-4832	450	4	2006	2006	NUM
ejpam-4832	450	5	.	.	PUNCT
ejpam-4832	451	1	[	[	X
ejpam-4832	451	2	7	7	X
ejpam-4832	451	3	]	]	X
ejpam-4832	451	4	e.	e.	PROPN
ejpam-4832	451	5	h.	h.	PROPN
ejpam-4832	451	6	roh	roh	PROPN
ejpam-4832	451	7	e.	e.	PROPN
ejpam-4832	451	8	yang	yang	PROPN
ejpam-4832	451	9	and	and	CCONJ
ejpam-4832	451	10	y.	y.	PROPN
ejpam-4832	451	11	b.	b.	PROPN
ejpam-4832	451	12	jun	jun	PROPN
ejpam-4832	451	13	.	.	PROPN
ejpam-4832	451	14	fuzzy	fuzzy	PROPN
ejpam-4832	451	15	ordered	order	VERB
ejpam-4832	451	16	subalgebras	subalgebras	PROPN
ejpam-4832	451	17	in	in	ADP
ejpam-4832	451	18	ordered	order	VERB
ejpam-4832	451	19	bcialgebras	bcialgebra	NOUN
ejpam-4832	451	20	.	.	PUNCT
ejpam-4832	452	1	revista	revista	PROPN
ejpam-4832	452	2	de	de	X
ejpam-4832	452	3	la	la	PROPN
ejpam-4832	452	4	real	real	PROPN
ejpam-4832	452	5	academia	academia	PROPN
ejpam-4832	452	6	de	de	PROPN
ejpam-4832	452	7	ciencias	ciencias	PROPN
ejpam-4832	452	8	exactas	exacta	NOUN
ejpam-4832	452	9	,	,	PUNCT
ejpam-4832	452	10	f́ısicas	f́ısicas	PROPN
ejpam-4832	452	11	y	y	PROPN
ejpam-4832	452	12	naturales	naturale	NOUN
ejpam-4832	452	13	.	.	PUNCT
ejpam-4832	453	1	serie	serie	PROPN
ejpam-4832	453	2	a.	a.	NOUN
ejpam-4832	453	3	matemáticas	matemáticas	PROPN
ejpam-4832	453	4	(	(	PUNCT
ejpam-4832	453	5	racsam	racsam	ADJ
ejpam-4832	453	6	)	)	PUNCT
ejpam-4832	453	7	,	,	PUNCT
ejpam-4832	453	8	page	page	NOUN
ejpam-4832	453	9	(	(	PUNCT
ejpam-4832	453	10	submitted	submit	VERB
ejpam-4832	453	11	)	)	PUNCT
ejpam-4832	453	12	.	.	PUNCT
ejpam-4832	454	1	[	[	X
ejpam-4832	454	2	8	8	X
ejpam-4832	454	3	]	]	X
ejpam-4832	454	4	e.	e.	PROPN
ejpam-4832	454	5	h.	h.	PROPN
ejpam-4832	454	6	roh	roh	PROPN
ejpam-4832	454	7	e.	e.	PROPN
ejpam-4832	454	8	yang	yang	PROPN
ejpam-4832	454	9	and	and	CCONJ
ejpam-4832	454	10	y.	y.	PROPN
ejpam-4832	454	11	b.	b.	PROPN
ejpam-4832	454	12	jun	jun	PROPN
ejpam-4832	454	13	.	.	PROPN
ejpam-4832	454	14	ordered	order	VERB
ejpam-4832	454	15	bci	bci	NOUN
ejpam-4832	454	16	-	-	PUNCT
ejpam-4832	454	17	algebras	algebra	NOUN
ejpam-4832	454	18	.	.	PUNCT
ejpam-4832	455	1	journal	journal	PROPN
ejpam-4832	455	2	of	of	ADP
ejpam-4832	455	3	algebra	algebra	PROPN
ejpam-4832	455	4	and	and	CCONJ
ejpam-4832	455	5	its	its	PRON
ejpam-4832	455	6	applications	application	NOUN
ejpam-4832	455	7	,	,	PUNCT
ejpam-4832	455	8	page	page	NOUN
ejpam-4832	455	9	(	(	PUNCT
ejpam-4832	455	10	submitted	submit	VERB
ejpam-4832	455	11	)	)	PUNCT
ejpam-4832	455	12	.	.	PUNCT
ejpam-4832	456	1	[	[	X
ejpam-4832	456	2	9	9	NUM
ejpam-4832	456	3	]	]	PUNCT
ejpam-4832	456	4	s.	s.	PROPN
ejpam-4832	456	5	ghorbani	ghorbani	PROPN
ejpam-4832	456	6	.	.	PUNCT
ejpam-4832	457	1	intuitionistic	intuitionistic	ADJ
ejpam-4832	457	2	fuzzy	fuzzy	ADJ
ejpam-4832	457	3	congruence	congruence	NOUN
ejpam-4832	457	4	relations	relation	NOUN
ejpam-4832	457	5	on	on	ADP
ejpam-4832	457	6	residuated	residuate	VERB
ejpam-4832	457	7	lattices	lattice	NOUN
ejpam-4832	457	8	.	.	PUNCT
ejpam-4832	458	1	acta	acta	PROPN
ejpam-4832	458	2	universitatis	universitatis	PROPN
ejpam-4832	458	3	apulensis	apulensis	NOUN
ejpam-4832	458	4	,	,	PUNCT
ejpam-4832	458	5	29:301–314	29:301–314	NOUN
ejpam-4832	458	6	,	,	PUNCT
ejpam-4832	458	7	2012	2012	NUM
ejpam-4832	458	8	.	.	PUNCT
ejpam-4832	459	1	references	reference	NOUN
ejpam-4832	459	2	1358	1358	NUM
ejpam-4832	459	3	[	[	X
ejpam-4832	459	4	10	10	NUM
ejpam-4832	459	5	]	]	X
ejpam-4832	459	6	y.	y.	PROPN
ejpam-4832	459	7	s.	s.	PROPN
ejpam-4832	459	8	huang	huang	PROPN
ejpam-4832	459	9	.	.	PUNCT
ejpam-4832	460	1	bci	bci	PROPN
ejpam-4832	460	2	-	-	NOUN
ejpam-4832	460	3	algebra	algebra	NOUN
ejpam-4832	460	4	.	.	PUNCT
ejpam-4832	461	1	science	science	NOUN
ejpam-4832	461	2	press	press	PROPN
ejpam-4832	461	3	,	,	PUNCT
ejpam-4832	461	4	beijing	beijing	PROPN
ejpam-4832	461	5	,	,	PUNCT
ejpam-4832	461	6	china	china	PROPN
ejpam-4832	461	7	,	,	PUNCT
ejpam-4832	461	8	2006	2006	NUM
ejpam-4832	461	9	.	.	PUNCT
ejpam-4832	462	1	[	[	X
ejpam-4832	462	2	11	11	NUM
ejpam-4832	462	3	]	]	X
ejpam-4832	462	4	y.	y.	PROPN
ejpam-4832	462	5	imai	imai	PROPN
ejpam-4832	462	6	and	and	CCONJ
ejpam-4832	462	7	k.	k.	PROPN
ejpam-4832	462	8	iséki	iséki	PROPN
ejpam-4832	462	9	.	.	PROPN
ejpam-4832	463	1	on	on	ADP
ejpam-4832	463	2	axiom	axiom	NOUN
ejpam-4832	463	3	systems	system	NOUN
ejpam-4832	463	4	of	of	ADP
ejpam-4832	463	5	proposition	proposition	NOUN
ejpam-4832	463	6	calculi	calculi	PROPN
ejpam-4832	463	7	.	.	PUNCT
ejpam-4832	464	1	proc	proc	PROPN
ejpam-4832	464	2	.	.	PUNCT
ejpam-4832	465	1	japan	japan	PROPN
ejpam-4832	465	2	.	.	PUNCT
ejpam-4832	466	1	acad	acad	PROPN
ejpam-4832	466	2	.	.	PROPN
ejpam-4832	466	3	,	,	PUNCT
ejpam-4832	466	4	42:19–22	42:19–22	NUM
ejpam-4832	466	5	,	,	PUNCT
ejpam-4832	466	6	1966	1966	NUM
ejpam-4832	466	7	.	.	PUNCT
ejpam-4832	467	1	[	[	X
ejpam-4832	467	2	12	12	NUM
ejpam-4832	467	3	]	]	X
ejpam-4832	467	4	y.	y.	PROPN
ejpam-4832	467	5	b.	b.	PROPN
ejpam-4832	467	6	jun	jun	PROPN
ejpam-4832	467	7	.	.	PROPN
ejpam-4832	468	1	on	on	ADP
ejpam-4832	468	2	(	(	PUNCT
ejpam-4832	468	3	α	α	X
ejpam-4832	468	4	,	,	PUNCT
ejpam-4832	468	5	β)-fuzzy	β)-fuzzy	PUNCT
ejpam-4832	468	6	subalgebras	subalgebras	PROPN
ejpam-4832	468	7	of	of	ADP
ejpam-4832	468	8	bck	bck	PROPN
ejpam-4832	468	9	/	/	SYM
ejpam-4832	468	10	bci	bci	NOUN
ejpam-4832	468	11	-	-	PUNCT
ejpam-4832	468	12	algebras	algebra	NOUN
ejpam-4832	468	13	.	.	PUNCT
ejpam-4832	469	1	bull	bull	NOUN
ejpam-4832	469	2	.	.	PUNCT
ejpam-4832	470	1	korean	korean	ADJ
ejpam-4832	470	2	math	math	PROPN
ejpam-4832	470	3	.	.	PUNCT
ejpam-4832	471	1	soc	soc	PROPN
ejpam-4832	471	2	.	.	PUNCT
ejpam-4832	471	3	,	,	PUNCT
ejpam-4832	471	4	42(4):703–711	42(4):703–711	NOUN
ejpam-4832	471	5	,	,	PUNCT
ejpam-4832	471	6	2005	2005	NUM
ejpam-4832	471	7	.	.	PUNCT
ejpam-4832	472	1	[	[	X
ejpam-4832	472	2	13	13	NUM
ejpam-4832	472	3	]	]	X
ejpam-4832	472	4	y.	y.	PROPN
ejpam-4832	472	5	b.	b.	PROPN
ejpam-4832	472	6	jun	jun	PROPN
ejpam-4832	472	7	.	.	PROPN
ejpam-4832	472	8	fuzzy	fuzzy	ADJ
ejpam-4832	472	9	subalgebras	subalgebra	NOUN
ejpam-4832	472	10	of	of	ADP
ejpam-4832	472	11	type	type	NOUN
ejpam-4832	472	12	(	(	PUNCT
ejpam-4832	472	13	α	α	NOUN
ejpam-4832	472	14	,	,	PUNCT
ejpam-4832	472	15	β	β	NOUN
ejpam-4832	472	16	)	)	PUNCT
ejpam-4832	472	17	in	in	ADP
ejpam-4832	472	18	bck	bck	PROPN
ejpam-4832	472	19	/	/	SYM
ejpam-4832	472	20	bci	bci	NOUN
ejpam-4832	472	21	-	-	PUNCT
ejpam-4832	472	22	algebras	algebra	NOUN
ejpam-4832	472	23	.	.	PUNCT
ejpam-4832	473	1	kyungpook	kyungpook	PROPN
ejpam-4832	473	2	math	math	PROPN
ejpam-4832	473	3	.	.	PUNCT
ejpam-4832	474	1	j.	j.	PROPN
ejpam-4832	474	2	,	,	PUNCT
ejpam-4832	474	3	47:403–410	47:403–410	PROPN
ejpam-4832	474	4	,	,	PUNCT
ejpam-4832	474	5	2007	2007	NUM
ejpam-4832	474	6	.	.	PUNCT
ejpam-4832	475	1	[	[	X
ejpam-4832	475	2	14	14	NUM
ejpam-4832	475	3	]	]	X
ejpam-4832	475	4	y.	y.	PROPN
ejpam-4832	475	5	b.	b.	PROPN
ejpam-4832	475	6	jun	jun	PROPN
ejpam-4832	475	7	.	.	PUNCT
ejpam-4832	476	1	generalizations	generalization	NOUN
ejpam-4832	476	2	of	of	ADP
ejpam-4832	476	3	(	(	PUNCT
ejpam-4832	476	4	∈,∈∨q)-fuzzy	∈,∈∨q)-fuzzy	VERB
ejpam-4832	476	5	subalgebras	subalgebra	NOUN
ejpam-4832	476	6	in	in	ADP
ejpam-4832	476	7	bck	bck	PROPN
ejpam-4832	476	8	/	/	SYM
ejpam-4832	476	9	bci	bci	NOUN
ejpam-4832	476	10	-	-	PUNCT
ejpam-4832	476	11	algebras	algebra	NOUN
ejpam-4832	476	12	.	.	PUNCT
ejpam-4832	477	1	comput	comput	PROPN
ejpam-4832	477	2	.	.	PUNCT
ejpam-4832	478	1	math	math	NOUN
ejpam-4832	478	2	.	.	PUNCT
ejpam-4832	479	1	appl	appl	PROPN
ejpam-4832	479	2	.	.	PROPN
ejpam-4832	479	3	,	,	PUNCT
ejpam-4832	479	4	58:1383–1390	58:1383–1390	PROPN
ejpam-4832	479	5	,	,	PUNCT
ejpam-4832	479	6	2009	2009	NUM
ejpam-4832	479	7	.	.	PUNCT
ejpam-4832	480	1	[	[	X
ejpam-4832	480	2	15	15	NUM
ejpam-4832	480	3	]	]	X
ejpam-4832	480	4	y.	y.	PROPN
ejpam-4832	480	5	b.	b.	PROPN
ejpam-4832	480	6	jun	jun	PROPN
ejpam-4832	480	7	and	and	CCONJ
ejpam-4832	480	8	s.	s.	PROPN
ejpam-4832	480	9	z.	z.	PROPN
ejpam-4832	480	10	song	song	PROPN
ejpam-4832	480	11	.	.	PUNCT
ejpam-4832	481	1	generalized	generalize	VERB
ejpam-4832	481	2	fuzzy	fuzzy	ADJ
ejpam-4832	481	3	interior	interior	ADJ
ejpam-4832	481	4	ideals	ideal	NOUN
ejpam-4832	481	5	in	in	ADP
ejpam-4832	481	6	semigroups	semigroup	NOUN
ejpam-4832	481	7	.	.	PUNCT
ejpam-4832	482	1	inform	inform	NOUN
ejpam-4832	482	2	.	.	PUNCT
ejpam-4832	483	1	sci	sci	PROPN
ejpam-4832	483	2	.	.	PROPN
ejpam-4832	483	3	,	,	PUNCT
ejpam-4832	483	4	176:3079–3093	176:3079–3093	NUM
ejpam-4832	483	5	,	,	PUNCT
ejpam-4832	483	6	2006	2006	NUM
ejpam-4832	483	7	.	.	PUNCT
ejpam-4832	484	1	[	[	X
ejpam-4832	484	2	16	16	NUM
ejpam-4832	484	3	]	]	X
ejpam-4832	484	4	p.	p.	NOUN
ejpam-4832	484	5	m.	m.	NOUN
ejpam-4832	484	6	pu	pu	PROPN
ejpam-4832	484	7	and	and	CCONJ
ejpam-4832	484	8	y.	y.	PROPN
ejpam-4832	484	9	m.	m.	PROPN
ejpam-4832	484	10	liu	liu	PROPN
ejpam-4832	484	11	.	.	PROPN
ejpam-4832	485	1	fuzzy	fuzzy	ADJ
ejpam-4832	485	2	topology	topology	NOUN
ejpam-4832	485	3	i	i	PRON
ejpam-4832	485	4	,	,	PUNCT
ejpam-4832	485	5	neighborhood	neighborhood	NOUN
ejpam-4832	485	6	structure	structure	NOUN
ejpam-4832	485	7	of	of	ADP
ejpam-4832	485	8	a	a	DET
ejpam-4832	485	9	fuzzy	fuzzy	ADJ
ejpam-4832	485	10	point	point	NOUN
ejpam-4832	485	11	and	and	CCONJ
ejpam-4832	485	12	moore	moore	PROPN
ejpam-4832	485	13	-	-	PUNCT
ejpam-4832	485	14	smith	smith	PROPN
ejpam-4832	485	15	convergence	convergence	NOUN
ejpam-4832	485	16	.	.	PUNCT
ejpam-4832	486	1	j.	j.	PROPN
ejpam-4832	486	2	math	math	PROPN
ejpam-4832	486	3	.	.	PUNCT
ejpam-4832	487	1	anal	anal	PROPN
ejpam-4832	487	2	.	.	PUNCT
ejpam-4832	488	1	appl	appl	PROPN
ejpam-4832	488	2	.	.	PROPN
ejpam-4832	488	3	,	,	PUNCT
ejpam-4832	489	1	76:571–599	76:571–599	NUM
ejpam-4832	489	2	,	,	PUNCT
ejpam-4832	489	3	1980	1980	NUM
ejpam-4832	489	4	.	.	PUNCT
ejpam-4832	490	1	[	[	X
ejpam-4832	490	2	17	17	NUM
ejpam-4832	490	3	]	]	PUNCT
ejpam-4832	490	4	m.	m.	NOUN
ejpam-4832	490	5	shabir	shabir	PROPN
ejpam-4832	490	6	w.	w.	PROPN
ejpam-4832	490	7	a.	a.	PROPN
ejpam-4832	490	8	dudek	dudek	PROPN
ejpam-4832	490	9	and	and	CCONJ
ejpam-4832	490	10	m.	m.	PROPN
ejpam-4832	490	11	irfan	irfan	PROPN
ejpam-4832	490	12	ali	ali	PROPN
ejpam-4832	490	13	.	.	PUNCT
ejpam-4832	491	1	(	(	PUNCT
ejpam-4832	491	2	α	α	NOUN
ejpam-4832	491	3	,	,	PUNCT
ejpam-4832	491	4	β)-fuzzy	β)-fuzzy	PUNCT
ejpam-4832	491	5	ideals	ideal	NOUN
ejpam-4832	491	6	of	of	ADP
ejpam-4832	491	7	hemirings	hemiring	NOUN
ejpam-4832	491	8	.	.	PUNCT
ejpam-4832	492	1	comput	comput	NOUN
ejpam-4832	492	2	.	.	PUNCT
ejpam-4832	493	1	math	math	NOUN
ejpam-4832	493	2	.	.	PUNCT
ejpam-4832	494	1	appl	appl	PROPN
ejpam-4832	494	2	.	.	PROPN
ejpam-4832	494	3	,	,	PUNCT
ejpam-4832	495	1	58:310–321	58:310–321	PROPN
ejpam-4832	495	2	,	,	PUNCT
ejpam-4832	495	3	2009	2009	NUM
ejpam-4832	495	4	.	.	PUNCT
ejpam-4832	496	1	[	[	X
ejpam-4832	496	2	18	18	NUM
ejpam-4832	496	3	]	]	X
ejpam-4832	496	4	b.	b.	PROPN
ejpam-4832	496	5	davvaz	davvaz	PROPN
ejpam-4832	496	6	x.	x.	PROPN
ejpam-4832	496	7	ma	ma	PROPN
ejpam-4832	496	8	,	,	PUNCT
ejpam-4832	496	9	j.	j.	PROPN
ejpam-4832	496	10	zhan	zhan	PROPN
ejpam-4832	496	11	and	and	CCONJ
ejpam-4832	496	12	y.	y.	PROPN
ejpam-4832	496	13	b.	b.	PROPN
ejpam-4832	496	14	jun	jun	PROPN
ejpam-4832	496	15	.	.	PUNCT
ejpam-4832	497	1	some	some	DET
ejpam-4832	497	2	kinds	kind	NOUN
ejpam-4832	497	3	of	of	ADP
ejpam-4832	497	4	(	(	PUNCT
ejpam-4832	497	5	∈,∈∨q)-interval	∈,∈∨q)-interval	NOUN
ejpam-4832	497	6	-	-	PUNCT
ejpam-4832	497	7	valued	value	VERB
ejpam-4832	497	8	fuzzy	fuzzy	ADJ
ejpam-4832	497	9	ideals	ideal	NOUN
ejpam-4832	497	10	of	of	ADP
ejpam-4832	497	11	bci	bci	NOUN
ejpam-4832	497	12	-	-	PUNCT
ejpam-4832	497	13	algebras	algebra	NOUN
ejpam-4832	497	14	.	.	PUNCT
ejpam-4832	498	1	inform	inform	NOUN
ejpam-4832	498	2	.	.	PUNCT
ejpam-4832	499	1	sci	sci	PROPN
ejpam-4832	499	2	.	.	PROPN
ejpam-4832	499	3	,	,	PUNCT
ejpam-4832	499	4	178:3738–3754	178:3738–3754	NUM
ejpam-4832	499	5	,	,	PUNCT
ejpam-4832	499	6	2008	2008	NUM
ejpam-4832	499	7	.	.	PUNCT
ejpam-4832	500	1	[	[	X
ejpam-4832	500	2	19	19	NUM
ejpam-4832	500	3	]	]	PUNCT
ejpam-4832	500	4	l.	l.	PROPN
ejpam-4832	500	5	a.	a.	PROPN
ejpam-4832	500	6	zadeh	zadeh	PROPN
ejpam-4832	500	7	.	.	PUNCT
ejpam-4832	500	8	fuzzy	fuzzy	ADJ
ejpam-4832	500	9	sets	set	NOUN
ejpam-4832	500	10	.	.	PUNCT
ejpam-4832	501	1	inform	inform	NOUN
ejpam-4832	501	2	.	.	PUNCT
ejpam-4832	502	1	control	control	NOUN
ejpam-4832	502	2	,	,	PUNCT
ejpam-4832	502	3	8:338–353	8:338–353	NUM
ejpam-4832	502	4	,	,	PUNCT
ejpam-4832	502	5	1965	1965	NUM
ejpam-4832	502	6	.	.	PUNCT