id	sid	tid	token	lemma	pos
ejpam-5527	1	1	european	european	PROPN
ejpam-5527	1	2	journal	journal	PROPN
ejpam-5527	1	3	of	of	ADP
ejpam-5527	1	4	pure	pure	ADJ
ejpam-5527	1	5	and	and	CCONJ
ejpam-5527	1	6	applied	apply	VERB
ejpam-5527	1	7	mathematics	mathematic	NOUN
ejpam-5527	1	8	vol	vol	NOUN
ejpam-5527	1	9	.	.	PROPN
ejpam-5527	2	1	17	17	NUM
ejpam-5527	2	2	,	,	PUNCT
ejpam-5527	2	3	no	no	INTJ
ejpam-5527	2	4	.	.	NOUN
ejpam-5527	2	5	4	4	NUM
ejpam-5527	2	6	,	,	PUNCT
ejpam-5527	2	7	2024	2024	NUM
ejpam-5527	2	8	,	,	PUNCT
ejpam-5527	2	9	3973	3973	NUM
ejpam-5527	2	10	-	-	SYM
ejpam-5527	2	11	3993	3993	NUM
ejpam-5527	2	12	issn	issn	VERB
ejpam-5527	2	13	1307	1307	NUM
ejpam-5527	2	14	-	-	SYM
ejpam-5527	2	15	5543	5543	NUM
ejpam-5527	2	16	–	–	PUNCT
ejpam-5527	3	1	ejpam.com	ejpam.com	X
ejpam-5527	3	2	published	publish	VERB
ejpam-5527	3	3	by	by	ADP
ejpam-5527	3	4	new	new	PROPN
ejpam-5527	3	5	york	york	PROPN
ejpam-5527	3	6	business	business	PROPN
ejpam-5527	3	7	global	global	PROPN
ejpam-5527	3	8	an	an	DET
ejpam-5527	3	9	innovative	innovative	ADJ
ejpam-5527	3	10	perspective	perspective	NOUN
ejpam-5527	3	11	on	on	ADP
ejpam-5527	3	12	bipolar	bipolar	ADJ
ejpam-5527	3	13	fuzzy	fuzzy	ADJ
ejpam-5527	3	14	fantastic	fantastic	ADJ
ejpam-5527	3	15	ideals	ideal	NOUN
ejpam-5527	3	16	in	in	ADP
ejpam-5527	3	17	bck	bck	PROPN
ejpam-5527	3	18	/	/	SYM
ejpam-5527	3	19	bci	bci	NOUN
ejpam-5527	3	20	-	-	PUNCT
ejpam-5527	3	21	algebras	algebras	ADJ
ejpam-5527	3	22	m.	m.	NOUN
ejpam-5527	3	23	balamurugan1	balamurugan1	PROPN
ejpam-5527	3	24	,	,	PUNCT
ejpam-5527	3	25	khalil	khalil	PROPN
ejpam-5527	3	26	h.	h.	PROPN
ejpam-5527	3	27	hakami2,∗	hakami2,∗	PROPN
ejpam-5527	3	28	,	,	PUNCT
ejpam-5527	3	29	moin	moin	PROPN
ejpam-5527	3	30	a.	a.	NOUN
ejpam-5527	3	31	ansari2,∗	ansari2,∗	PROPN
ejpam-5527	3	32	,	,	PUNCT
ejpam-5527	3	33	k.	k.	PROPN
ejpam-5527	3	34	loganathan3	loganathan3	PROPN
ejpam-5527	3	35	1	1	NUM
ejpam-5527	3	36	department	department	NOUN
ejpam-5527	3	37	of	of	ADP
ejpam-5527	3	38	mathematics	mathematic	NOUN
ejpam-5527	3	39	,	,	PUNCT
ejpam-5527	3	40	vel	vel	PROPN
ejpam-5527	3	41	tech	tech	PROPN
ejpam-5527	3	42	rangarajan	rangarajan	PROPN
ejpam-5527	3	43	dr	dr	PROPN
ejpam-5527	3	44	.	.	PROPN
ejpam-5527	3	45	sagunthala	sagunthala	PROPN
ejpam-5527	3	46	r&d	r&d	PROPN
ejpam-5527	3	47	institute	institute	PROPN
ejpam-5527	3	48	of	of	ADP
ejpam-5527	3	49	science	science	NOUN
ejpam-5527	3	50	and	and	CCONJ
ejpam-5527	3	51	technology	technology	NOUN
ejpam-5527	3	52	,	,	PUNCT
ejpam-5527	3	53	chennai	chennai	NOUN
ejpam-5527	3	54	600062	600062	NUM
ejpam-5527	3	55	,	,	PUNCT
ejpam-5527	3	56	tamil	tamil	PROPN
ejpam-5527	3	57	nadu	nadu	PROPN
ejpam-5527	3	58	,	,	PUNCT
ejpam-5527	3	59	india	india	PROPN
ejpam-5527	3	60	2	2	NUM
ejpam-5527	3	61	department	department	NOUN
ejpam-5527	3	62	of	of	ADP
ejpam-5527	3	63	mathematics	mathematic	NOUN
ejpam-5527	3	64	,	,	PUNCT
ejpam-5527	3	65	college	college	NOUN
ejpam-5527	3	66	of	of	ADP
ejpam-5527	3	67	science	science	PROPN
ejpam-5527	3	68	,	,	PUNCT
ejpam-5527	3	69	jazan	jazan	PROPN
ejpam-5527	3	70	university	university	PROPN
ejpam-5527	3	71	,	,	PUNCT
ejpam-5527	3	72	p.o	p.o	PROPN
ejpam-5527	3	73	.	.	PROPN
ejpam-5527	3	74	box	box	PROPN
ejpam-5527	3	75	.	.	PUNCT
ejpam-5527	4	1	114	114	NUM
ejpam-5527	4	2	,	,	PUNCT
ejpam-5527	4	3	jazan	jazan	NOUN
ejpam-5527	4	4	45142	45142	NUM
ejpam-5527	4	5	,	,	PUNCT
ejpam-5527	4	6	kingdom	kingdom	NOUN
ejpam-5527	4	7	of	of	ADP
ejpam-5527	4	8	saudi	saudi	PROPN
ejpam-5527	4	9	arabia	arabia	PROPN
ejpam-5527	4	10	3	3	NUM
ejpam-5527	4	11	department	department	NOUN
ejpam-5527	4	12	of	of	ADP
ejpam-5527	4	13	mathematics	mathematic	NOUN
ejpam-5527	4	14	and	and	CCONJ
ejpam-5527	4	15	statistics	statistic	NOUN
ejpam-5527	4	16	,	,	PUNCT
ejpam-5527	4	17	manipal	manipal	PROPN
ejpam-5527	4	18	university	university	PROPN
ejpam-5527	4	19	jaipur	jaipur	PROPN
ejpam-5527	4	20	,	,	PUNCT
ejpam-5527	4	21	jaipur-303007	jaipur-303007	NOUN
ejpam-5527	4	22	,	,	PUNCT
ejpam-5527	4	23	india	india	PROPN
ejpam-5527	4	24	abstract	abstract	NOUN
ejpam-5527	4	25	.	.	PUNCT
ejpam-5527	5	1	in	in	ADP
ejpam-5527	5	2	this	this	DET
ejpam-5527	5	3	paper	paper	NOUN
ejpam-5527	5	4	,	,	PUNCT
ejpam-5527	5	5	we	we	PRON
ejpam-5527	5	6	propose	propose	VERB
ejpam-5527	5	7	the	the	DET
ejpam-5527	5	8	concept	concept	NOUN
ejpam-5527	5	9	of	of	ADP
ejpam-5527	5	10	(	(	PUNCT
ejpam-5527	5	11	∈,∈	∈,∈	X
ejpam-5527	5	12	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	5	13	,	,	PUNCT
ejpam-5527	5	14	q̌φ))-bipolar	q̌φ))-bipolar	ADJ
ejpam-5527	5	15	fuzzy	fuzzy	ADJ
ejpam-5527	5	16	ideals	ideal	NOUN
ejpam-5527	5	17	in	in	ADP
ejpam-5527	5	18	bck	bck	PROPN
ejpam-5527	5	19	/	/	SYM
ejpam-5527	5	20	bci	bci	NOUN
ejpam-5527	5	21	-	-	PUNCT
ejpam-5527	5	22	algebras	algebras	X
ejpam-5527	5	23	.	.	PUNCT
ejpam-5527	6	1	we	we	PRON
ejpam-5527	6	2	show	show	VERB
ejpam-5527	6	3	that	that	SCONJ
ejpam-5527	6	4	an	an	DET
ejpam-5527	6	5	(	(	PUNCT
ejpam-5527	6	6	∈,∈	∈,∈	X
ejpam-5527	6	7	∨q̌φ)-bipolar	∨q̌φ)-bipolar	ADJ
ejpam-5527	6	8	fuzzy	fuzzy	ADJ
ejpam-5527	6	9	ideal	ideal	NOUN
ejpam-5527	6	10	is	be	AUX
ejpam-5527	6	11	an	an	DET
ejpam-5527	6	12	(	(	PUNCT
ejpam-5527	6	13	∈,∈	∈,∈	X
ejpam-5527	6	14	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	6	15	,	,	PUNCT
ejpam-5527	6	16	q̌φ))-bipolar	q̌φ))-bipolar	ADJ
ejpam-5527	6	17	fuzzy	fuzzy	ADJ
ejpam-5527	6	18	ideal	ideal	NOUN
ejpam-5527	6	19	.	.	PUNCT
ejpam-5527	7	1	for	for	ADP
ejpam-5527	7	2	a	a	DET
ejpam-5527	7	3	bck	bck	VERB
ejpam-5527	7	4	/	/	SYM
ejpam-5527	7	5	bci	bci	NOUN
ejpam-5527	7	6	-	-	NOUN
ejpam-5527	7	7	algebra	algebra	NOUN
ejpam-5527	7	8	,	,	PUNCT
ejpam-5527	7	9	it	it	PRON
ejpam-5527	7	10	has	have	AUX
ejpam-5527	7	11	been	be	AUX
ejpam-5527	7	12	shown	show	VERB
ejpam-5527	7	13	that	that	SCONJ
ejpam-5527	7	14	an	an	DET
ejpam-5527	7	15	(	(	PUNCT
ejpam-5527	7	16	∈,∈	∈,∈	X
ejpam-5527	7	17	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	7	18	,	,	PUNCT
ejpam-5527	7	19	q̌φ)-bipolar	q̌φ)-bipolar	ADJ
ejpam-5527	7	20	fuzzy	fuzzy	ADJ
ejpam-5527	7	21	ideal	ideal	NOUN
ejpam-5527	7	22	is	be	AUX
ejpam-5527	7	23	an	an	DET
ejpam-5527	7	24	(	(	PUNCT
ejpam-5527	7	25	∈,∈	∈,∈	PRON
ejpam-5527	7	26	∨q̌)-bipolar	∨q̌)-bipolar	ADJ
ejpam-5527	7	27	fuzzy	fuzzy	ADJ
ejpam-5527	7	28	ideal	ideal	NOUN
ejpam-5527	7	29	of	of	ADP
ejpam-5527	7	30	ℵ̌	ℵ̌	PROPN
ejpam-5527	7	31	,	,	PUNCT
ejpam-5527	7	32	but	but	CCONJ
ejpam-5527	7	33	not	not	PART
ejpam-5527	7	34	conversely	conversely	ADV
ejpam-5527	7	35	,	,	PUNCT
ejpam-5527	7	36	and	and	CCONJ
ejpam-5527	7	37	then	then	ADV
ejpam-5527	7	38	an	an	DET
ejpam-5527	7	39	example	example	NOUN
ejpam-5527	7	40	is	be	AUX
ejpam-5527	7	41	given	give	VERB
ejpam-5527	7	42	.	.	PUNCT
ejpam-5527	8	1	we	we	PRON
ejpam-5527	8	2	introduce	introduce	VERB
ejpam-5527	8	3	the	the	DET
ejpam-5527	8	4	concept	concept	NOUN
ejpam-5527	8	5	of	of	ADP
ejpam-5527	8	6	(	(	PUNCT
ejpam-5527	8	7	∈,∈	∈,∈	X
ejpam-5527	8	8	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	8	9	,	,	PUNCT
ejpam-5527	8	10	q̌φ))-bipolar	q̌φ))-bipolar	PROPN
ejpam-5527	8	11	fuzzy	fuzzy	ADJ
ejpam-5527	8	12	fantastic	fantastic	ADJ
ejpam-5527	8	13	ideals	ideal	NOUN
ejpam-5527	8	14	in	in	ADP
ejpam-5527	8	15	bck	bck	PROPN
ejpam-5527	8	16	/	/	SYM
ejpam-5527	8	17	bci	bci	NOUN
ejpam-5527	8	18	-	-	PUNCT
ejpam-5527	8	19	algebras	algebras	X
ejpam-5527	8	20	.	.	PUNCT
ejpam-5527	9	1	it	it	PRON
ejpam-5527	9	2	has	have	AUX
ejpam-5527	9	3	been	be	AUX
ejpam-5527	9	4	shown	show	VERB
ejpam-5527	9	5	that	that	SCONJ
ejpam-5527	9	6	an	an	DET
ejpam-5527	9	7	(	(	PUNCT
ejpam-5527	9	8	∈,∈	∈,∈	X
ejpam-5527	9	9	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	9	10	,	,	PUNCT
ejpam-5527	9	11	q̌φ))-bipolar	q̌φ))-bipolar	PROPN
ejpam-5527	9	12	fuzzy	fuzzy	ADJ
ejpam-5527	9	13	fantastic	fantastic	ADJ
ejpam-5527	9	14	ideal	ideal	NOUN
ejpam-5527	9	15	is	be	AUX
ejpam-5527	9	16	an	an	DET
ejpam-5527	9	17	(	(	PUNCT
ejpam-5527	9	18	∈,∈)-bipolar	∈,∈)-bipolar	NOUN
ejpam-5527	9	19	fuzzy	fuzzy	ADJ
ejpam-5527	9	20	ideal	ideal	NOUN
ejpam-5527	9	21	in	in	ADP
ejpam-5527	9	22	bck	bck	PROPN
ejpam-5527	9	23	/	/	SYM
ejpam-5527	9	24	bci	bci	NOUN
ejpam-5527	9	25	-	-	PUNCT
ejpam-5527	9	26	algebras	algebra	NOUN
ejpam-5527	9	27	.	.	PUNCT
ejpam-5527	10	1	furthermore	furthermore	ADV
ejpam-5527	10	2	,	,	PUNCT
ejpam-5527	10	3	the	the	DET
ejpam-5527	10	4	connection	connection	NOUN
ejpam-5527	10	5	between	between	ADP
ejpam-5527	10	6	(	(	PUNCT
ejpam-5527	10	7	∈,∈	∈,∈	X
ejpam-5527	10	8	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	10	9	,	,	PUNCT
ejpam-5527	10	10	q̌φ))-bipolar	q̌φ))-bipolar	ADJ
ejpam-5527	10	11	fuzzy	fuzzy	ADJ
ejpam-5527	10	12	fantastic	fantastic	ADJ
ejpam-5527	10	13	ideals	ideal	NOUN
ejpam-5527	10	14	and	and	CCONJ
ejpam-5527	10	15	fantastic	fantastic	ADJ
ejpam-5527	10	16	ideals	ideal	NOUN
ejpam-5527	10	17	are	be	AUX
ejpam-5527	10	18	established	establish	VERB
ejpam-5527	10	19	.	.	PUNCT
ejpam-5527	11	1	2020	2020	NUM
ejpam-5527	11	2	mathematics	mathematics	PROPN
ejpam-5527	11	3	subject	subject	NOUN
ejpam-5527	11	4	classifications	classification	NOUN
ejpam-5527	11	5	:	:	PUNCT
ejpam-5527	11	6	06f35	06f35	NUM
ejpam-5527	11	7	,	,	PUNCT
ejpam-5527	11	8	03g25	03g25	NUM
ejpam-5527	11	9	,	,	PUNCT
ejpam-5527	11	10	03b52	03b52	VERB
ejpam-5527	11	11	key	key	ADJ
ejpam-5527	11	12	words	word	NOUN
ejpam-5527	11	13	and	and	CCONJ
ejpam-5527	11	14	phrases	phrase	NOUN
ejpam-5527	11	15	:	:	PUNCT
ejpam-5527	11	16	bck	bck	VERB
ejpam-5527	11	17	/	/	SYM
ejpam-5527	11	18	bci	bci	NOUN
ejpam-5527	11	19	-	-	NOUN
ejpam-5527	11	20	algebra	algebra	ADJ
ejpam-5527	11	21	,	,	PUNCT
ejpam-5527	11	22	fuzzy	fuzzy	ADJ
ejpam-5527	11	23	logic	logic	NOUN
ejpam-5527	11	24	,	,	PUNCT
ejpam-5527	11	25	bipolar	bipolar	ADJ
ejpam-5527	11	26	fuzzy	fuzzy	ADJ
ejpam-5527	11	27	ideal	ideal	NOUN
ejpam-5527	11	28	(	(	PUNCT
ejpam-5527	11	29	bfi	bfi	PROPN
ejpam-5527	11	30	)	)	PUNCT
ejpam-5527	11	31	,	,	PUNCT
ejpam-5527	11	32	bipolar	bipolar	ADJ
ejpam-5527	11	33	fuzzy	fuzzy	ADJ
ejpam-5527	11	34	fantastic	fantastic	ADJ
ejpam-5527	11	35	ideal	ideal	NOUN
ejpam-5527	11	36	(	(	PUNCT
ejpam-5527	11	37	bffi	bffi	PROPN
ejpam-5527	11	38	)	)	PUNCT
ejpam-5527	11	39	,	,	PUNCT
ejpam-5527	11	40	(	(	PUNCT
ejpam-5527	11	41	∈,∈	∈,∈	X
ejpam-5527	11	42	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	11	43	,	,	PUNCT
ejpam-5527	11	44	q̌φ))-bfi	q̌φ))-bfi	PROPN
ejpam-5527	11	45	,	,	PUNCT
ejpam-5527	11	46	(	(	PUNCT
ejpam-5527	11	47	∈,∈	∈,∈	X
ejpam-5527	11	48	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	11	49	,	,	PUNCT
ejpam-5527	11	50	q̌φ))-bffi	q̌φ))-bffi	PROPN
ejpam-5527	11	51	1	1	NUM
ejpam-5527	11	52	.	.	PUNCT
ejpam-5527	12	1	introduction	introduction	NOUN
ejpam-5527	12	2	zadeh	zadeh	PROPN
ejpam-5527	12	3	[	[	X
ejpam-5527	12	4	45	45	NUM
ejpam-5527	12	5	]	]	PUNCT
ejpam-5527	12	6	introduced	introduce	VERB
ejpam-5527	12	7	the	the	DET
ejpam-5527	12	8	concept	concept	NOUN
ejpam-5527	12	9	of	of	ADP
ejpam-5527	12	10	fuzzy	fuzzy	ADJ
ejpam-5527	12	11	set	set	NOUN
ejpam-5527	12	12	theory	theory	NOUN
ejpam-5527	12	13	in	in	ADP
ejpam-5527	12	14	1965	1965	NUM
ejpam-5527	12	15	as	as	ADP
ejpam-5527	12	16	a	a	DET
ejpam-5527	12	17	mathematical	mathematical	ADJ
ejpam-5527	12	18	framework	framework	NOUN
ejpam-5527	12	19	for	for	ADP
ejpam-5527	12	20	handling	handle	VERB
ejpam-5527	12	21	uncertainty	uncertainty	NOUN
ejpam-5527	12	22	and	and	CCONJ
ejpam-5527	12	23	vagueness	vagueness	NOUN
ejpam-5527	12	24	.	.	PUNCT
ejpam-5527	13	1	rather	rather	ADV
ejpam-5527	13	2	than	than	ADP
ejpam-5527	13	3	being	be	AUX
ejpam-5527	13	4	merely	merely	ADV
ejpam-5527	13	5	inside	inside	ADP
ejpam-5527	13	6	or	or	CCONJ
ejpam-5527	13	7	outside	outside	ADP
ejpam-5527	13	8	a	a	DET
ejpam-5527	13	9	set	set	NOUN
ejpam-5527	13	10	,	,	PUNCT
ejpam-5527	13	11	it	it	PRON
ejpam-5527	13	12	broadens	broaden	VERB
ejpam-5527	13	13	the	the	DET
ejpam-5527	13	14	classical	classical	ADJ
ejpam-5527	13	15	thought	thought	NOUN
ejpam-5527	13	16	of	of	ADP
ejpam-5527	13	17	set	set	NOUN
ejpam-5527	13	18	theory	theory	NOUN
ejpam-5527	13	19	to	to	PART
ejpam-5527	13	20	allow	allow	VERB
ejpam-5527	13	21	for	for	ADP
ejpam-5527	13	22	varying	vary	VERB
ejpam-5527	13	23	degrees	degree	NOUN
ejpam-5527	13	24	of	of	ADP
ejpam-5527	13	25	membership	membership	NOUN
ejpam-5527	13	26	among	among	ADP
ejpam-5527	13	27	its	its	PRON
ejpam-5527	13	28	elements	element	NOUN
ejpam-5527	13	29	,	,	PUNCT
ejpam-5527	13	30	from	from	ADP
ejpam-5527	13	31	0	0	NUM
ejpam-5527	13	32	to	to	ADP
ejpam-5527	13	33	1	1	NUM
ejpam-5527	13	34	.	.	PUNCT
ejpam-5527	14	1	this	this	DET
ejpam-5527	14	2	method	method	NOUN
ejpam-5527	14	3	is	be	AUX
ejpam-5527	14	4	especially	especially	ADV
ejpam-5527	14	5	suitable	suitable	ADJ
ejpam-5527	14	6	for	for	ADP
ejpam-5527	14	7	areas	area	NOUN
ejpam-5527	14	8	with	with	ADP
ejpam-5527	14	9	non	non	ADJ
ejpam-5527	14	10	-	-	ADJ
ejpam-5527	14	11	binary	binary	ADJ
ejpam-5527	14	12	information	information	NOUN
ejpam-5527	14	13	or	or	CCONJ
ejpam-5527	14	14	where	where	SCONJ
ejpam-5527	14	15	there	there	PRON
ejpam-5527	14	16	is	be	VERB
ejpam-5527	14	17	imprecision	imprecision	NOUN
ejpam-5527	14	18	,	,	PUNCT
ejpam-5527	14	19	such	such	ADJ
ejpam-5527	14	20	as	as	ADP
ejpam-5527	14	21	artificial	artificial	ADJ
ejpam-5527	14	22	intelligence	intelligence	NOUN
ejpam-5527	14	23	,	,	PUNCT
ejpam-5527	14	24	control	control	NOUN
ejpam-5527	14	25	systems	system	NOUN
ejpam-5527	14	26	,	,	PUNCT
ejpam-5527	14	27	and	and	CCONJ
ejpam-5527	14	28	decision	decision	NOUN
ejpam-5527	14	29	-	-	PUNCT
ejpam-5527	14	30	making	making	NOUN
ejpam-5527	14	31	.	.	PUNCT
ejpam-5527	15	1	axiomatic	axiomatic	ADJ
ejpam-5527	15	2	systems	system	NOUN
ejpam-5527	15	3	of	of	ADP
ejpam-5527	15	4	propositional	propositional	ADJ
ejpam-5527	15	5	calculi	calculi	NOUN
ejpam-5527	15	6	are	be	AUX
ejpam-5527	15	7	formal	formal	ADJ
ejpam-5527	15	8	systems	system	NOUN
ejpam-5527	15	9	that	that	PRON
ejpam-5527	15	10	use	use	VERB
ejpam-5527	15	11	axioms	axiom	NOUN
ejpam-5527	15	12	and	and	CCONJ
ejpam-5527	15	13	inference	inference	NOUN
ejpam-5527	15	14	rules	rule	NOUN
ejpam-5527	15	15	to	to	PART
ejpam-5527	15	16	come	come	VERB
ejpam-5527	15	17	up	up	ADP
ejpam-5527	15	18	with	with	ADP
ejpam-5527	15	19	theorems	theorem	NOUN
ejpam-5527	15	20	in	in	ADP
ejpam-5527	15	21	propositional	propositional	ADJ
ejpam-5527	15	22	logic	logic	NOUN
ejpam-5527	15	23	.	.	PUNCT
ejpam-5527	16	1	∗corresponding	∗corresponde	VERB
ejpam-5527	16	2	author	author	NOUN
ejpam-5527	16	3	.	.	PUNCT
ejpam-5527	17	1	∗corresponding	∗corresponde	VERB
ejpam-5527	17	2	author	author	NOUN
ejpam-5527	17	3	.	.	PUNCT
ejpam-5527	18	1	doi	doi	NOUN
ejpam-5527	18	2	:	:	PUNCT
ejpam-5527	18	3	https://doi.org/10.29020/nybg.ejpam.v17i4.5527	https://doi.org/10.29020/nybg.ejpam.v17i4.5527	ADJ
ejpam-5527	18	4	email	email	NOUN
ejpam-5527	18	5	addresses	address	NOUN
ejpam-5527	18	6	:	:	PUNCT
ejpam-5527	18	7	drbalamuruganm@veltech.edu.in	drbalamuruganm@veltech.edu.in	NOUN
ejpam-5527	18	8	(	(	PUNCT
ejpam-5527	18	9	m.	m.	NOUN
ejpam-5527	18	10	balamurugan	balamurugan	PROPN
ejpam-5527	18	11	)	)	PUNCT
ejpam-5527	18	12	,	,	PUNCT
ejpam-5527	18	13	khakami@jazanu.edu.sa	khakami@jazanu.edu.sa	PROPN
ejpam-5527	18	14	(	(	PUNCT
ejpam-5527	18	15	khalil	khalil	PROPN
ejpam-5527	18	16	h.	h.	PROPN
ejpam-5527	18	17	hakami	hakami	PROPN
ejpam-5527	18	18	)	)	PUNCT
ejpam-5527	18	19	,	,	PUNCT
ejpam-5527	18	20	maansari@jazanu.edu.sa	maansari@jazanu.edu.sa	PROPN
ejpam-5527	18	21	(	(	PUNCT
ejpam-5527	18	22	moin	moin	X
ejpam-5527	18	23	a.	a.	NOUN
ejpam-5527	18	24	ansari	ansari	PROPN
ejpam-5527	18	25	)	)	PUNCT
ejpam-5527	18	26	,	,	PUNCT
ejpam-5527	18	27	loganathankaruppusamy304@gmail.com	loganathankaruppusamy304@gmail.com	X
ejpam-5527	19	1	(	(	PUNCT
ejpam-5527	19	2	k.	k.	PROPN
ejpam-5527	19	3	loganathan	loganathan	PROPN
ejpam-5527	19	4	)	)	PUNCT
ejpam-5527	19	5	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5527	19	6	3973	3973	NUM
ejpam-5527	19	7	copyright	copyright	NOUN
ejpam-5527	19	8	:	:	PUNCT
ejpam-5527	19	9	©	©	PROPN
ejpam-5527	19	10	2024	2024	NUM
ejpam-5527	19	11	the	the	DET
ejpam-5527	19	12	author(s	author(s	NOUN
ejpam-5527	19	13	)	)	PUNCT
ejpam-5527	19	14	.	.	PUNCT
ejpam-5527	20	1	(	(	PUNCT
ejpam-5527	20	2	cc	cc	NOUN
ejpam-5527	20	3	by	by	ADP
ejpam-5527	20	4	-	-	PUNCT
ejpam-5527	20	5	nc	nc	PROPN
ejpam-5527	20	6	4.0	4.0	NUM
ejpam-5527	20	7	)	)	PUNCT
ejpam-5527	20	8	k.	k.	PROPN
ejpam-5527	20	9	h.	h.	PROPN
ejpam-5527	20	10	hakami	hakami	PROPN
ejpam-5527	20	11	et	et	PROPN
ejpam-5527	20	12	al	al	PROPN
ejpam-5527	20	13	.	.	PUNCT
ejpam-5527	20	14	/	/	SYM
ejpam-5527	20	15	eur	eur	PROPN
ejpam-5527	20	16	.	.	PUNCT
ejpam-5527	21	1	j.	j.	PROPN
ejpam-5527	21	2	pure	pure	PROPN
ejpam-5527	21	3	appl	appl	PROPN
ejpam-5527	21	4	.	.	PROPN
ejpam-5527	21	5	math	math	PROPN
ejpam-5527	21	6	,	,	PUNCT
ejpam-5527	21	7	17	17	NUM
ejpam-5527	21	8	(	(	PUNCT
ejpam-5527	21	9	4	4	NUM
ejpam-5527	21	10	)	)	PUNCT
ejpam-5527	21	11	(	(	PUNCT
ejpam-5527	21	12	2024	2024	NUM
ejpam-5527	21	13	)	)	PUNCT
ejpam-5527	21	14	,	,	PUNCT
ejpam-5527	21	15	3973	3973	NUM
ejpam-5527	21	16	-	-	SYM
ejpam-5527	21	17	3993	3993	NUM
ejpam-5527	21	18	3974	3974	NUM
ejpam-5527	21	19	this	this	PRON
ejpam-5527	21	20	has	have	AUX
ejpam-5527	21	21	been	be	AUX
ejpam-5527	21	22	first	first	ADV
ejpam-5527	21	23	described	describe	VERB
ejpam-5527	21	24	by	by	ADP
ejpam-5527	21	25	imai	imai	PROPN
ejpam-5527	21	26	et	et	PROPN
ejpam-5527	21	27	al	al	PROPN
ejpam-5527	21	28	.	.	PUNCT
ejpam-5527	22	1	[	[	X
ejpam-5527	22	2	25	25	NUM
ejpam-5527	22	3	,	,	PUNCT
ejpam-5527	22	4	26	26	NUM
ejpam-5527	22	5	]	]	PUNCT
ejpam-5527	22	6	.	.	PUNCT
ejpam-5527	23	1	these	these	DET
ejpam-5527	23	2	systems	system	NOUN
ejpam-5527	23	3	are	be	AUX
ejpam-5527	23	4	foundational	foundational	ADJ
ejpam-5527	23	5	in	in	ADP
ejpam-5527	23	6	the	the	DET
ejpam-5527	23	7	study	study	NOUN
ejpam-5527	23	8	of	of	ADP
ejpam-5527	23	9	logic	logic	NOUN
ejpam-5527	23	10	and	and	CCONJ
ejpam-5527	23	11	are	be	AUX
ejpam-5527	23	12	crucial	crucial	ADJ
ejpam-5527	23	13	for	for	ADP
ejpam-5527	23	14	understanding	understand	VERB
ejpam-5527	23	15	the	the	DET
ejpam-5527	23	16	formal	formal	ADJ
ejpam-5527	23	17	properties	property	NOUN
ejpam-5527	23	18	and	and	CCONJ
ejpam-5527	23	19	limitations	limitation	NOUN
ejpam-5527	23	20	of	of	ADP
ejpam-5527	23	21	logical	logical	ADJ
ejpam-5527	23	22	systems	system	NOUN
ejpam-5527	23	23	.	.	PUNCT
ejpam-5527	24	1	a	a	DET
ejpam-5527	24	2	bipolar	bipolar	ADJ
ejpam-5527	24	3	fuzzy	fuzzy	ADJ
ejpam-5527	24	4	set	set	NOUN
ejpam-5527	24	5	(	(	PUNCT
ejpam-5527	24	6	bfs	bfs	NOUN
ejpam-5527	24	7	)	)	PUNCT
ejpam-5527	24	8	was	be	AUX
ejpam-5527	24	9	introduced	introduce	VERB
ejpam-5527	24	10	by	by	ADP
ejpam-5527	24	11	zhang	zhang	PROPN
ejpam-5527	25	1	[	[	X
ejpam-5527	25	2	47	47	NUM
ejpam-5527	25	3	]	]	PUNCT
ejpam-5527	25	4	to	to	PART
ejpam-5527	25	5	extend	extend	VERB
ejpam-5527	25	6	the	the	DET
ejpam-5527	25	7	classical	classical	ADJ
ejpam-5527	25	8	fuzzy	fuzzy	ADJ
ejpam-5527	25	9	set	set	NOUN
ejpam-5527	25	10	theory	theory	NOUN
ejpam-5527	25	11	by	by	ADP
ejpam-5527	25	12	incorporating	incorporate	VERB
ejpam-5527	25	13	both	both	CCONJ
ejpam-5527	25	14	positive	positive	ADJ
ejpam-5527	25	15	and	and	CCONJ
ejpam-5527	25	16	negative	negative	ADJ
ejpam-5527	25	17	membership	membership	NOUN
ejpam-5527	25	18	degrees	degree	NOUN
ejpam-5527	25	19	.	.	PUNCT
ejpam-5527	26	1	this	this	DET
ejpam-5527	26	2	method	method	NOUN
ejpam-5527	26	3	can	can	AUX
ejpam-5527	26	4	better	well	ADV
ejpam-5527	26	5	reflect	reflect	VERB
ejpam-5527	26	6	real	real	ADJ
ejpam-5527	26	7	-	-	PUNCT
ejpam-5527	26	8	life	life	NOUN
ejpam-5527	26	9	situations	situation	NOUN
ejpam-5527	26	10	where	where	SCONJ
ejpam-5527	26	11	an	an	DET
ejpam-5527	26	12	element	element	NOUN
ejpam-5527	26	13	can	can	AUX
ejpam-5527	26	14	show	show	VERB
ejpam-5527	26	15	different	different	ADJ
ejpam-5527	26	16	levels	level	NOUN
ejpam-5527	26	17	of	of	ADP
ejpam-5527	26	18	belonging	belong	VERB
ejpam-5527	26	19	and	and	CCONJ
ejpam-5527	26	20	not	not	PART
ejpam-5527	26	21	belonging	belong	VERB
ejpam-5527	26	22	to	to	ADP
ejpam-5527	26	23	a	a	DET
ejpam-5527	26	24	set	set	NOUN
ejpam-5527	26	25	at	at	ADP
ejpam-5527	26	26	the	the	DET
ejpam-5527	26	27	same	same	ADJ
ejpam-5527	26	28	time	time	NOUN
ejpam-5527	26	29	.	.	PUNCT
ejpam-5527	27	1	it	it	PRON
ejpam-5527	27	2	also	also	ADV
ejpam-5527	27	3	has	have	VERB
ejpam-5527	27	4	a	a	DET
ejpam-5527	27	5	more	more	ADV
ejpam-5527	27	6	complex	complex	ADJ
ejpam-5527	27	7	semantic	semantic	ADJ
ejpam-5527	27	8	interpretation	interpretation	NOUN
ejpam-5527	27	9	compared	compare	VERB
ejpam-5527	27	10	to	to	ADP
ejpam-5527	27	11	traditional	traditional	ADJ
ejpam-5527	27	12	fuzzy	fuzzy	ADJ
ejpam-5527	27	13	sets	set	NOUN
ejpam-5527	27	14	.	.	PUNCT
ejpam-5527	28	1	bipolar	bipolar	ADJ
ejpam-5527	28	2	logic	logic	NOUN
ejpam-5527	28	3	and	and	CCONJ
ejpam-5527	28	4	bipolar	bipolar	ADJ
ejpam-5527	28	5	fuzzy	fuzzy	ADJ
ejpam-5527	28	6	logic	logic	NOUN
ejpam-5527	28	7	are	be	AUX
ejpam-5527	28	8	conceptual	conceptual	ADJ
ejpam-5527	28	9	frameworks	framework	NOUN
ejpam-5527	28	10	introduced	introduce	VERB
ejpam-5527	28	11	by	by	ADP
ejpam-5527	28	12	zhang	zhang	PROPN
ejpam-5527	29	1	[	[	X
ejpam-5527	29	2	46	46	NUM
ejpam-5527	29	3	]	]	PUNCT
ejpam-5527	29	4	.	.	PUNCT
ejpam-5527	30	1	these	these	DET
ejpam-5527	30	2	frameworks	framework	NOUN
ejpam-5527	30	3	extend	extend	VERB
ejpam-5527	30	4	classical	classical	ADJ
ejpam-5527	30	5	binary	binary	ADJ
ejpam-5527	30	6	logic	logic	NOUN
ejpam-5527	30	7	and	and	CCONJ
ejpam-5527	30	8	traditional	traditional	ADJ
ejpam-5527	30	9	fuzzy	fuzzy	ADJ
ejpam-5527	30	10	logic	logic	NOUN
ejpam-5527	30	11	by	by	ADP
ejpam-5527	30	12	incorporating	incorporate	VERB
ejpam-5527	30	13	bipolarity	bipolarity	NOUN
ejpam-5527	30	14	,	,	PUNCT
ejpam-5527	30	15	which	which	PRON
ejpam-5527	30	16	means	mean	VERB
ejpam-5527	30	17	that	that	SCONJ
ejpam-5527	30	18	they	they	PRON
ejpam-5527	30	19	handle	handle	VERB
ejpam-5527	30	20	positive	positive	ADJ
ejpam-5527	30	21	and	and	CCONJ
ejpam-5527	30	22	negative	negative	ADJ
ejpam-5527	30	23	information	information	NOUN
ejpam-5527	30	24	separately	separately	ADV
ejpam-5527	30	25	.	.	PUNCT
ejpam-5527	31	1	this	this	PRON
ejpam-5527	31	2	allows	allow	VERB
ejpam-5527	31	3	for	for	ADP
ejpam-5527	31	4	a	a	DET
ejpam-5527	31	5	more	more	ADV
ejpam-5527	31	6	nuanced	nuanced	ADJ
ejpam-5527	31	7	representation	representation	NOUN
ejpam-5527	31	8	of	of	ADP
ejpam-5527	31	9	reality	reality	NOUN
ejpam-5527	31	10	,	,	PUNCT
ejpam-5527	31	11	reflecting	reflect	VERB
ejpam-5527	31	12	the	the	DET
ejpam-5527	31	13	inherent	inherent	ADJ
ejpam-5527	31	14	dualities	duality	NOUN
ejpam-5527	31	15	found	find	VERB
ejpam-5527	31	16	in	in	ADP
ejpam-5527	31	17	many	many	ADJ
ejpam-5527	31	18	real	real	ADJ
ejpam-5527	31	19	-	-	PUNCT
ejpam-5527	31	20	world	world	NOUN
ejpam-5527	31	21	situations	situation	NOUN
ejpam-5527	31	22	.	.	PUNCT
ejpam-5527	32	1	bipolar	bipolar	ADJ
ejpam-5527	32	2	fuzzy	fuzzy	ADJ
ejpam-5527	32	3	subalgebras	subalgebra	NOUN
ejpam-5527	32	4	and	and	CCONJ
ejpam-5527	32	5	bipolar	bipolar	ADJ
ejpam-5527	32	6	fuzzy	fuzzy	ADJ
ejpam-5527	32	7	ideals	ideal	NOUN
ejpam-5527	32	8	are	be	AUX
ejpam-5527	32	9	concepts	concept	NOUN
ejpam-5527	32	10	introduced	introduce	VERB
ejpam-5527	32	11	by	by	ADP
ejpam-5527	32	12	lee	lee	PROPN
ejpam-5527	33	1	[	[	X
ejpam-5527	33	2	31–33	31–33	NUM
ejpam-5527	33	3	]	]	PUNCT
ejpam-5527	33	4	to	to	PART
ejpam-5527	33	5	extend	extend	VERB
ejpam-5527	33	6	the	the	DET
ejpam-5527	33	7	theory	theory	NOUN
ejpam-5527	33	8	of	of	ADP
ejpam-5527	33	9	bck	bck	PROPN
ejpam-5527	33	10	/	/	SYM
ejpam-5527	33	11	bci	bci	NOUN
ejpam-5527	33	12	-	-	PUNCT
ejpam-5527	33	13	algebras	algebras	PROPN
ejpam-5527	33	14	into	into	ADP
ejpam-5527	33	15	the	the	DET
ejpam-5527	33	16	realm	realm	NOUN
ejpam-5527	33	17	of	of	ADP
ejpam-5527	33	18	fuzzy	fuzzy	ADJ
ejpam-5527	33	19	logic	logic	NOUN
ejpam-5527	33	20	.	.	PUNCT
ejpam-5527	34	1	saied	saie	VERB
ejpam-5527	34	2	et	et	PROPN
ejpam-5527	34	3	al	al	PROPN
ejpam-5527	34	4	.	.	PUNCT
ejpam-5527	35	1	[	[	X
ejpam-5527	35	2	44	44	NUM
ejpam-5527	35	3	]	]	PUNCT
ejpam-5527	35	4	studied	study	VERB
ejpam-5527	35	5	bipolar	bipolar	ADV
ejpam-5527	35	6	-	-	PUNCT
ejpam-5527	35	7	valued	value	VERB
ejpam-5527	35	8	fuzzy	fuzzy	ADJ
ejpam-5527	35	9	bck	bck	PROPN
ejpam-5527	35	10	/	/	SYM
ejpam-5527	35	11	bci	bci	NOUN
ejpam-5527	35	12	-	-	PUNCT
ejpam-5527	35	13	algebras	algebra	NOUN
ejpam-5527	35	14	,	,	PUNCT
ejpam-5527	35	15	which	which	PRON
ejpam-5527	35	16	is	be	AUX
ejpam-5527	35	17	a	a	DET
ejpam-5527	35	18	niche	niche	NOUN
ejpam-5527	35	19	but	but	CCONJ
ejpam-5527	35	20	fascinating	fascinating	ADJ
ejpam-5527	35	21	area	area	NOUN
ejpam-5527	35	22	within	within	ADP
ejpam-5527	35	23	mathematical	mathematical	ADJ
ejpam-5527	35	24	logic	logic	NOUN
ejpam-5527	35	25	and	and	CCONJ
ejpam-5527	35	26	algebra	algebra	NOUN
ejpam-5527	35	27	.	.	PUNCT
ejpam-5527	36	1	rosenfeld	rosenfeld	PROPN
ejpam-5527	37	1	[	[	X
ejpam-5527	37	2	43	43	NUM
ejpam-5527	37	3	]	]	PUNCT
ejpam-5527	37	4	extended	extend	VERB
ejpam-5527	37	5	the	the	DET
ejpam-5527	37	6	classical	classical	ADJ
ejpam-5527	37	7	concept	concept	NOUN
ejpam-5527	37	8	of	of	ADP
ejpam-5527	37	9	a	a	DET
ejpam-5527	37	10	group	group	NOUN
ejpam-5527	37	11	in	in	ADP
ejpam-5527	37	12	algebra	algebra	NOUN
ejpam-5527	37	13	to	to	PART
ejpam-5527	37	14	accommodate	accommodate	VERB
ejpam-5527	37	15	the	the	DET
ejpam-5527	37	16	notion	notion	NOUN
ejpam-5527	37	17	of	of	ADP
ejpam-5527	37	18	fuzziness	fuzziness	NOUN
ejpam-5527	37	19	,	,	PUNCT
ejpam-5527	37	20	which	which	PRON
ejpam-5527	37	21	is	be	AUX
ejpam-5527	37	22	characterized	characterize	VERB
ejpam-5527	37	23	by	by	ADP
ejpam-5527	37	24	elements	element	NOUN
ejpam-5527	37	25	having	have	VERB
ejpam-5527	37	26	degrees	degree	NOUN
ejpam-5527	37	27	of	of	ADP
ejpam-5527	37	28	membership	membership	NOUN
ejpam-5527	37	29	rather	rather	ADV
ejpam-5527	37	30	than	than	ADP
ejpam-5527	37	31	crisp	crisp	ADJ
ejpam-5527	37	32	membership	membership	NOUN
ejpam-5527	37	33	.	.	PUNCT
ejpam-5527	38	1	aslam	aslam	PROPN
ejpam-5527	39	1	[	[	X
ejpam-5527	39	2	17	17	NUM
ejpam-5527	39	3	]	]	PUNCT
ejpam-5527	39	4	presented	present	VERB
ejpam-5527	39	5	the	the	DET
ejpam-5527	39	6	idea	idea	NOUN
ejpam-5527	39	7	of	of	ADP
ejpam-5527	39	8	bipolar	bipolar	ADJ
ejpam-5527	39	9	fuzzy	fuzzy	ADJ
ejpam-5527	39	10	ideals	ideal	NOUN
ejpam-5527	39	11	in	in	ADP
ejpam-5527	39	12	la	la	NOUN
ejpam-5527	39	13	-	-	PUNCT
ejpam-5527	39	14	semigroups	semigroup	NOUN
ejpam-5527	39	15	,	,	PUNCT
ejpam-5527	39	16	which	which	PRON
ejpam-5527	39	17	gives	give	VERB
ejpam-5527	39	18	the	the	DET
ejpam-5527	39	19	study	study	NOUN
ejpam-5527	39	20	of	of	ADP
ejpam-5527	39	21	algebraic	algebraic	ADJ
ejpam-5527	39	22	structures	structure	NOUN
ejpam-5527	39	23	using	use	VERB
ejpam-5527	39	24	fuzzy	fuzzy	ADJ
ejpam-5527	39	25	set	set	NOUN
ejpam-5527	39	26	theory	theory	NOUN
ejpam-5527	39	27	a	a	DET
ejpam-5527	39	28	big	big	ADJ
ejpam-5527	39	29	new	new	ADJ
ejpam-5527	39	30	dimension	dimension	NOUN
ejpam-5527	39	31	.	.	PUNCT
ejpam-5527	40	1	akram	akram	PROPN
ejpam-5527	40	2	et	et	PROPN
ejpam-5527	40	3	al	al	PROPN
ejpam-5527	40	4	.	.	PUNCT
ejpam-5527	41	1	[	[	X
ejpam-5527	41	2	2	2	NUM
ejpam-5527	41	3	,	,	PUNCT
ejpam-5527	41	4	3	3	NUM
ejpam-5527	41	5	]	]	PUNCT
ejpam-5527	41	6	introduced	introduce	VERB
ejpam-5527	41	7	the	the	DET
ejpam-5527	41	8	concept	concept	NOUN
ejpam-5527	41	9	of	of	ADP
ejpam-5527	41	10	m	m	ADJ
ejpam-5527	41	11	-	-	ADJ
ejpam-5527	41	12	polar	polar	ADJ
ejpam-5527	41	13	fuzzy	fuzzy	ADJ
ejpam-5527	41	14	lie	lie	NOUN
ejpam-5527	41	15	ideals	ideal	NOUN
ejpam-5527	41	16	of	of	ADP
ejpam-5527	41	17	lie	lie	NOUN
ejpam-5527	41	18	algebras	algebra	NOUN
ejpam-5527	41	19	.	.	PUNCT
ejpam-5527	42	1	al	al	PROPN
ejpam-5527	42	2	-	-	PROPN
ejpam-5527	42	3	masarwah	masarwah	PROPN
ejpam-5527	42	4	et	et	PROPN
ejpam-5527	42	5	al	al	PROPN
ejpam-5527	42	6	.	.	PUNCT
ejpam-5527	42	7	(	(	PUNCT
ejpam-5527	42	8	see	see	VERB
ejpam-5527	42	9	[	[	X
ejpam-5527	42	10	5	5	NUM
ejpam-5527	42	11	,	,	PUNCT
ejpam-5527	42	12	10–14	10–14	NUM
ejpam-5527	42	13	]	]	PUNCT
ejpam-5527	42	14	)	)	PUNCT
ejpam-5527	43	1	extended	extend	VERB
ejpam-5527	43	2	the	the	DET
ejpam-5527	43	3	concept	concept	NOUN
ejpam-5527	43	4	of	of	ADP
ejpam-5527	43	5	bipolar	bipolar	ADJ
ejpam-5527	43	6	/	/	SYM
ejpam-5527	43	7	m	m	ADJ
ejpam-5527	43	8	-	-	ADJ
ejpam-5527	43	9	polar	polar	ADJ
ejpam-5527	43	10	fuzzy	fuzzy	ADJ
ejpam-5527	43	11	subalgebras	subalgebra	NOUN
ejpam-5527	43	12	and	and	CCONJ
ejpam-5527	43	13	ideals	ideal	NOUN
ejpam-5527	43	14	to	to	PART
ejpam-5527	43	15	bck	bck	VERB
ejpam-5527	43	16	/	/	SYM
ejpam-5527	43	17	bci	bci	NOUN
ejpam-5527	43	18	-	-	PUNCT
ejpam-5527	43	19	algebras	algebras	X
ejpam-5527	43	20	.	.	PUNCT
ejpam-5527	44	1	the	the	DET
ejpam-5527	44	2	concept	concept	NOUN
ejpam-5527	44	3	of	of	ADP
ejpam-5527	44	4	(	(	PUNCT
ejpam-5527	44	5	∈,∈,∨q)-fuzzy	∈,∈,∨q)-fuzzy	PROPN
ejpam-5527	44	6	subgroup	subgroup	NOUN
ejpam-5527	44	7	was	be	AUX
ejpam-5527	44	8	introduced	introduce	VERB
ejpam-5527	44	9	by	by	ADP
ejpam-5527	44	10	bhakat	bhakat	NOUN
ejpam-5527	44	11	[	[	X
ejpam-5527	44	12	20	20	NUM
ejpam-5527	44	13	]	]	PUNCT
ejpam-5527	44	14	as	as	ADP
ejpam-5527	44	15	a	a	DET
ejpam-5527	44	16	generalization	generalization	NOUN
ejpam-5527	44	17	in	in	ADP
ejpam-5527	44	18	the	the	DET
ejpam-5527	44	19	context	context	NOUN
ejpam-5527	44	20	of	of	ADP
ejpam-5527	44	21	fuzzy	fuzzy	ADJ
ejpam-5527	44	22	group	group	NOUN
ejpam-5527	44	23	theory	theory	NOUN
ejpam-5527	44	24	.	.	PUNCT
ejpam-5527	45	1	chen	chen	PROPN
ejpam-5527	45	2	et	et	PROPN
ejpam-5527	45	3	al	al	PROPN
ejpam-5527	45	4	.	.	PUNCT
ejpam-5527	46	1	[	[	X
ejpam-5527	46	2	21	21	NUM
ejpam-5527	46	3	]	]	PUNCT
ejpam-5527	46	4	worked	work	VERB
ejpam-5527	46	5	on	on	ADP
ejpam-5527	46	6	m	m	ADJ
ejpam-5527	46	7	-	-	ADJ
ejpam-5527	46	8	polar	polar	ADJ
ejpam-5527	46	9	fuzzy	fuzzy	ADJ
ejpam-5527	46	10	sets	set	NOUN
ejpam-5527	46	11	as	as	ADP
ejpam-5527	46	12	an	an	DET
ejpam-5527	46	13	extension	extension	NOUN
ejpam-5527	46	14	of	of	ADP
ejpam-5527	46	15	bipolar	bipolar	ADJ
ejpam-5527	46	16	fuzzy	fuzzy	ADJ
ejpam-5527	46	17	sets	set	NOUN
ejpam-5527	46	18	,	,	PUNCT
ejpam-5527	46	19	which	which	PRON
ejpam-5527	46	20	is	be	AUX
ejpam-5527	46	21	a	a	DET
ejpam-5527	46	22	significant	significant	ADJ
ejpam-5527	46	23	contribution	contribution	NOUN
ejpam-5527	46	24	to	to	ADP
ejpam-5527	46	25	the	the	DET
ejpam-5527	46	26	field	field	NOUN
ejpam-5527	46	27	of	of	ADP
ejpam-5527	46	28	fuzzy	fuzzy	ADJ
ejpam-5527	46	29	set	set	NOUN
ejpam-5527	46	30	theory	theory	NOUN
ejpam-5527	46	31	.	.	PUNCT
ejpam-5527	47	1	farooq	farooq	PROPN
ejpam-5527	47	2	et	et	PROPN
ejpam-5527	47	3	al	al	PROPN
ejpam-5527	47	4	.	.	PUNCT
ejpam-5527	48	1	[	[	X
ejpam-5527	48	2	22	22	NUM
ejpam-5527	48	3	]	]	PUNCT
ejpam-5527	48	4	presented	present	VERB
ejpam-5527	48	5	a	a	DET
ejpam-5527	48	6	topic	topic	NOUN
ejpam-5527	48	7	related	relate	VERB
ejpam-5527	48	8	to	to	ADP
ejpam-5527	48	9	m	m	ADJ
ejpam-5527	48	10	-	-	ADJ
ejpam-5527	48	11	polar	polar	ADJ
ejpam-5527	48	12	fuzzy	fuzzy	ADJ
ejpam-5527	48	13	groups	group	NOUN
ejpam-5527	48	14	.	.	PUNCT
ejpam-5527	49	1	ibrar	ibrar	NOUN
ejpam-5527	49	2	[	[	X
ejpam-5527	49	3	24	24	NUM
ejpam-5527	49	4	]	]	PUNCT
ejpam-5527	49	5	studied	study	VERB
ejpam-5527	49	6	ordered	order	VERB
ejpam-5527	49	7	semigroups	semigroup	NOUN
ejpam-5527	49	8	and	and	CCONJ
ejpam-5527	49	9	their	their	PRON
ejpam-5527	49	10	structures	structure	NOUN
ejpam-5527	49	11	using	use	VERB
ejpam-5527	49	12	(	(	PUNCT
ejpam-5527	49	13	α	α	NOUN
ejpam-5527	49	14	,	,	PUNCT
ejpam-5527	49	15	β)-bipolar	β)-bipolar	PUNCT
ejpam-5527	49	16	fuzzy	fuzzy	ADJ
ejpam-5527	49	17	generalized	generalized	ADJ
ejpam-5527	49	18	bi	bi	NOUN
ejpam-5527	49	19	-	-	NOUN
ejpam-5527	49	20	ideals	ideal	NOUN
ejpam-5527	49	21	.	.	PUNCT
ejpam-5527	50	1	jana	jana	PROPN
ejpam-5527	51	1	[	[	X
ejpam-5527	51	2	28	28	NUM
ejpam-5527	51	3	]	]	X
ejpam-5527	51	4	studied	study	VERB
ejpam-5527	51	5	(	(	PUNCT
ejpam-5527	51	6	∈,∈	∈,∈	X
ejpam-5527	51	7	∨q)bipolar	∨q)bipolar	PRON
ejpam-5527	51	8	fuzzy	fuzzy	ADJ
ejpam-5527	51	9	bck	bck	NOUN
ejpam-5527	51	10	-	-	PUNCT
ejpam-5527	51	11	algebras	algebra	NOUN
ejpam-5527	51	12	,	,	PUNCT
ejpam-5527	51	13	which	which	PRON
ejpam-5527	51	14	belong	belong	VERB
ejpam-5527	51	15	to	to	ADP
ejpam-5527	51	16	a	a	DET
ejpam-5527	51	17	specialized	specialized	ADJ
ejpam-5527	51	18	branch	branch	NOUN
ejpam-5527	51	19	of	of	ADP
ejpam-5527	51	20	mathematics	mathematic	NOUN
ejpam-5527	51	21	that	that	PRON
ejpam-5527	51	22	deals	deal	VERB
ejpam-5527	51	23	with	with	ADP
ejpam-5527	51	24	algebraic	algebraic	ADJ
ejpam-5527	51	25	structures	structure	NOUN
ejpam-5527	51	26	and	and	CCONJ
ejpam-5527	51	27	fuzzy	fuzzy	ADJ
ejpam-5527	51	28	logic	logic	NOUN
ejpam-5527	51	29	.	.	PUNCT
ejpam-5527	52	1	bipolar	bipolar	ADJ
ejpam-5527	52	2	fuzzy	fuzzy	ADJ
ejpam-5527	52	3	up	up	ADV
ejpam-5527	52	4	-	-	PUNCT
ejpam-5527	52	5	algebras	algebra	NOUN
ejpam-5527	52	6	are	be	AUX
ejpam-5527	52	7	a	a	DET
ejpam-5527	52	8	concept	concept	NOUN
ejpam-5527	52	9	in	in	ADP
ejpam-5527	52	10	mathematics	mathematic	NOUN
ejpam-5527	52	11	introduced	introduce	VERB
ejpam-5527	52	12	by	by	ADP
ejpam-5527	52	13	kawila	kawila	PROPN
ejpam-5527	52	14	et	et	PROPN
ejpam-5527	52	15	al	al	PROPN
ejpam-5527	52	16	.	.	PUNCT
ejpam-5527	53	1	[	[	X
ejpam-5527	53	2	29	29	NUM
ejpam-5527	53	3	]	]	PUNCT
ejpam-5527	53	4	.	.	PUNCT
ejpam-5527	54	1	balamurugan	balamurugan	PROPN
ejpam-5527	54	2	et	et	PROPN
ejpam-5527	54	3	al	al	PROPN
ejpam-5527	54	4	.	.	PUNCT
ejpam-5527	55	1	[	[	X
ejpam-5527	55	2	18	18	NUM
ejpam-5527	55	3	,	,	PUNCT
ejpam-5527	55	4	42	42	NUM
ejpam-5527	55	5	]	]	PUNCT
ejpam-5527	55	6	investigated	investigate	VERB
ejpam-5527	55	7	(	(	PUNCT
ejpam-5527	55	8	∈́	∈́	PROPN
ejpam-5527	55	9	,	,	PUNCT
ejpam-5527	55	10	∈́∨	∈́∨	NOUN
ejpam-5527	55	11	q́ǩ)-uni	q́ǩ)-uni	ADJ
ejpam-5527	55	12	-	-	PUNCT
ejpam-5527	55	13	intuitionistic	intuitionistic	ADJ
ejpam-5527	55	14	fuzzy	fuzzy	ADJ
ejpam-5527	55	15	soft	soft	ADJ
ejpam-5527	55	16	h	h	NOUN
ejpam-5527	55	17	-	-	PUNCT
ejpam-5527	55	18	ideals	ideal	NOUN
ejpam-5527	55	19	in	in	ADP
ejpam-5527	55	20	subtraction	subtraction	NOUN
ejpam-5527	55	21	bg	bg	NOUN
ejpam-5527	55	22	-	-	PUNCT
ejpam-5527	55	23	algebras	algebras	PROPN
ejpam-5527	55	24	and	and	CCONJ
ejpam-5527	55	25	(	(	PUNCT
ejpam-5527	55	26	∈,∈	∈,∈	X
ejpam-5527	55	27	∨q̌)-bipolar	∨q̌)-bipolar	ADJ
ejpam-5527	55	28	fuzzy	fuzzy	ADJ
ejpam-5527	55	29	-	-	PUNCT
ejpam-5527	55	30	ideals	ideal	NOUN
ejpam-5527	55	31	of	of	ADP
ejpam-5527	55	32	bck	bck	PROPN
ejpam-5527	55	33	/	/	SYM
ejpam-5527	55	34	bci	bci	NOUN
ejpam-5527	55	35	-	-	PUNCT
ejpam-5527	55	36	algebras	algebra	NOUN
ejpam-5527	55	37	.	.	PUNCT
ejpam-5527	56	1	almaswarwah	almaswarwah	PROPN
ejpam-5527	56	2	et	et	PROPN
ejpam-5527	56	3	al	al	PROPN
ejpam-5527	56	4	.	.	PUNCT
ejpam-5527	57	1	[	[	X
ejpam-5527	57	2	6–9	6–9	X
ejpam-5527	57	3	]	]	X
ejpam-5527	57	4	developed	develop	VERB
ejpam-5527	57	5	multipolar	multipolar	ADJ
ejpam-5527	57	6	fuzzy	fuzzy	ADJ
ejpam-5527	57	7	ideals	ideal	NOUN
ejpam-5527	57	8	of	of	ADP
ejpam-5527	57	9	bck	bck	PROPN
ejpam-5527	57	10	/	/	SYM
ejpam-5527	57	11	bci	bci	NOUN
ejpam-5527	57	12	-	-	PUNCT
ejpam-5527	57	13	algebras	algebra	NOUN
ejpam-5527	57	14	.	.	PUNCT
ejpam-5527	58	1	balamurugan	balamurugan	PROPN
ejpam-5527	59	1	[	[	PUNCT
ejpam-5527	59	2	19]presented	19]presented	NUM
ejpam-5527	59	3	the	the	DET
ejpam-5527	59	4	concept	concept	NOUN
ejpam-5527	59	5	of	of	ADP
ejpam-5527	59	6	complex	complex	ADJ
ejpam-5527	59	7	fuzzy	fuzzy	ADJ
ejpam-5527	59	8	ideals	ideal	NOUN
ejpam-5527	59	9	in	in	ADP
ejpam-5527	59	10	bck	bck	PROPN
ejpam-5527	59	11	/	/	SYM
ejpam-5527	59	12	bci	bci	NOUN
ejpam-5527	59	13	-	-	PUNCT
ejpam-5527	59	14	algebras	algebras	X
ejpam-5527	59	15	.	.	PUNCT
ejpam-5527	60	1	iampan	iampan	PROPN
ejpam-5527	60	2	et	et	PROPN
ejpam-5527	60	3	al	al	PROPN
ejpam-5527	60	4	.	.	PUNCT
ejpam-5527	61	1	[	[	X
ejpam-5527	61	2	23	23	NUM
ejpam-5527	61	3	]	]	PUNCT
ejpam-5527	61	4	discussed	discuss	VERB
ejpam-5527	61	5	anti	anti	ADJ
ejpam-5527	61	6	-	-	ADJ
ejpam-5527	61	7	intuitionistic	intuitionistic	ADJ
ejpam-5527	61	8	fuzzy	fuzzy	ADJ
ejpam-5527	61	9	soft	soft	ADJ
ejpam-5527	61	10	b	b	NOUN
ejpam-5527	61	11	-	-	PUNCT
ejpam-5527	61	12	ideals	ideal	NOUN
ejpam-5527	61	13	in	in	ADP
ejpam-5527	61	14	bck	bck	PROPN
ejpam-5527	61	15	/	/	SYM
ejpam-5527	61	16	bci	bci	PROPN
ejpam-5527	61	17	algebras	algebra	NOUN
ejpam-5527	61	18	.	.	PUNCT
ejpam-5527	62	1	moin	moin	PROPN
ejpam-5527	63	1	[	[	X
ejpam-5527	63	2	15	15	NUM
ejpam-5527	63	3	]	]	PUNCT
ejpam-5527	63	4	introduced	introduce	VERB
ejpam-5527	63	5	roughness	roughness	NOUN
ejpam-5527	63	6	in	in	ADP
ejpam-5527	63	7	ju	ju	PROPN
ejpam-5527	63	8	-	-	PUNCT
ejpam-5527	63	9	algebras	algebras	PROPN
ejpam-5527	63	10	.	.	PUNCT
ejpam-5527	64	1	mohseni	mohseni	NOUN
ejpam-5527	64	2	et	et	PROPN
ejpam-5527	64	3	al	al	PROPN
ejpam-5527	64	4	.	.	PUNCT
ejpam-5527	65	1	[	[	X
ejpam-5527	65	2	35	35	NUM
ejpam-5527	65	3	]	]	PUNCT
ejpam-5527	65	4	studied	study	VERB
ejpam-5527	65	5	the	the	DET
ejpam-5527	65	6	concept	concept	NOUN
ejpam-5527	65	7	of	of	ADP
ejpam-5527	65	8	multipolar	multipolar	ADJ
ejpam-5527	65	9	fuzzy	fuzzy	ADJ
ejpam-5527	65	10	p	p	NOUN
ejpam-5527	65	11	-	-	PUNCT
ejpam-5527	65	12	ideals	ideal	NOUN
ejpam-5527	65	13	of	of	ADP
ejpam-5527	65	14	bci	bci	NOUN
ejpam-5527	65	15	-	-	PUNCT
ejpam-5527	65	16	algebras	algebras	X
ejpam-5527	65	17	.	.	PUNCT
ejpam-5527	66	1	muhiuddin	muhiuddin	PROPN
ejpam-5527	66	2	et	et	PROPN
ejpam-5527	66	3	al	al	PROPN
ejpam-5527	66	4	.	.	PUNCT
ejpam-5527	67	1	(	(	PUNCT
ejpam-5527	67	2	see	see	VERB
ejpam-5527	67	3	[	[	X
ejpam-5527	67	4	36–41	36–41	NUM
ejpam-5527	67	5	]	]	PUNCT
ejpam-5527	67	6	)	)	PUNCT
ejpam-5527	68	1	applied	apply	VERB
ejpam-5527	68	2	the	the	DET
ejpam-5527	68	3	concept	concept	NOUN
ejpam-5527	68	4	to	to	ADP
ejpam-5527	68	5	multipolar	multipolar	ADJ
ejpam-5527	68	6	fuzzy	fuzzy	ADJ
ejpam-5527	68	7	ideals	ideal	NOUN
ejpam-5527	68	8	in	in	ADP
ejpam-5527	68	9	bck	bck	PROPN
ejpam-5527	68	10	/	/	SYM
ejpam-5527	68	11	bci	bci	PROPN
ejpam-5527	68	12	algebras	algebra	NOUN
ejpam-5527	68	13	.	.	PUNCT
ejpam-5527	69	1	al	al	PROPN
ejpam-5527	69	2	-	-	PUNCT
ejpam-5527	69	3	kadi	kadi	PROPN
ejpam-5527	69	4	et	et	PROPN
ejpam-5527	69	5	al	al	PROPN
ejpam-5527	69	6	.	.	PUNCT
ejpam-5527	70	1	[	[	X
ejpam-5527	70	2	4	4	X
ejpam-5527	70	3	]	]	PUNCT
ejpam-5527	70	4	looked	look	VERB
ejpam-5527	70	5	into	into	ADP
ejpam-5527	70	6	a	a	DET
ejpam-5527	70	7	group	group	NOUN
ejpam-5527	70	8	of	of	ADP
ejpam-5527	70	9	bci	bci	PROPN
ejpam-5527	70	10	-	-	PUNCT
ejpam-5527	70	11	algebras	algebras	NOUN
ejpam-5527	70	12	called	call	VERB
ejpam-5527	70	13	bipolar	bipolar	ADJ
ejpam-5527	70	14	fuzzy	fuzzy	ADJ
ejpam-5527	70	15	bci	bci	ADJ
ejpam-5527	70	16	-	-	ADJ
ejpam-5527	70	17	implicative	implicative	ADJ
ejpam-5527	70	18	ideals	ideal	NOUN
ejpam-5527	70	19	.	.	PUNCT
ejpam-5527	71	1	these	these	DET
ejpam-5527	71	2	ideals	ideal	NOUN
ejpam-5527	71	3	probably	probably	ADV
ejpam-5527	71	4	share	share	VERB
ejpam-5527	71	5	some	some	DET
ejpam-5527	71	6	properties	property	NOUN
ejpam-5527	71	7	with	with	ADP
ejpam-5527	71	8	both	both	CCONJ
ejpam-5527	71	9	fuzzy	fuzzy	ADJ
ejpam-5527	71	10	logic	logic	NOUN
ejpam-5527	71	11	and	and	CCONJ
ejpam-5527	71	12	bci	bci	NOUN
ejpam-5527	71	13	-	-	PUNCT
ejpam-5527	71	14	algebras	algebras	PROPN
ejpam-5527	71	15	.	.	PUNCT
ejpam-5527	72	1	abuhijileh	abuhijileh	PROPN
ejpam-5527	72	2	et	et	PROPN
ejpam-5527	72	3	al	al	PROPN
ejpam-5527	72	4	.	.	PUNCT
ejpam-5527	73	1	[	[	X
ejpam-5527	73	2	1	1	X
ejpam-5527	73	3	]	]	PUNCT
ejpam-5527	73	4	developed	develop	VERB
ejpam-5527	73	5	the	the	DET
ejpam-5527	73	6	concept	concept	NOUN
ejpam-5527	73	7	of	of	ADP
ejpam-5527	73	8	complex	complex	ADJ
ejpam-5527	73	9	fuzzy	fuzzy	ADJ
ejpam-5527	73	10	group	group	NOUN
ejpam-5527	73	11	based	base	VERB
ejpam-5527	73	12	on	on	ADP
ejpam-5527	73	13	rosenfeld	rosenfeld	PROPN
ejpam-5527	73	14	’s	’s	PART
ejpam-5527	73	15	approach	approach	NOUN
ejpam-5527	73	16	.	.	PUNCT
ejpam-5527	74	1	mahmood	mahmood	PROPN
ejpam-5527	75	1	[	[	X
ejpam-5527	75	2	34	34	NUM
ejpam-5527	75	3	]	]	PUNCT
ejpam-5527	75	4	studied	study	VERB
ejpam-5527	75	5	bipolar	bipolar	ADJ
ejpam-5527	75	6	complex	complex	ADJ
ejpam-5527	75	7	fuzzy	fuzzy	ADJ
ejpam-5527	75	8	soft	soft	ADJ
ejpam-5527	75	9	sets	set	NOUN
ejpam-5527	75	10	and	and	CCONJ
ejpam-5527	75	11	their	their	PRON
ejpam-5527	75	12	applications	application	NOUN
ejpam-5527	75	13	in	in	ADP
ejpam-5527	75	14	decision	decision	NOUN
ejpam-5527	75	15	-	-	PUNCT
ejpam-5527	75	16	making	making	NOUN
ejpam-5527	75	17	.	.	PUNCT
ejpam-5527	76	1	jaleel	jaleel	PROPN
ejpam-5527	76	2	et	et	PROPN
ejpam-5527	76	3	al	al	PROPN
ejpam-5527	76	4	.	.	PUNCT
ejpam-5527	77	1	[	[	X
ejpam-5527	77	2	27	27	NUM
ejpam-5527	77	3	]	]	PUNCT
ejpam-5527	77	4	k.	k.	PROPN
ejpam-5527	77	5	h.	h.	PROPN
ejpam-5527	77	6	hakami	hakami	PROPN
ejpam-5527	77	7	et	et	PROPN
ejpam-5527	77	8	al	al	PROPN
ejpam-5527	77	9	.	.	PUNCT
ejpam-5527	77	10	/	/	SYM
ejpam-5527	77	11	eur	eur	PROPN
ejpam-5527	77	12	.	.	PUNCT
ejpam-5527	78	1	j.	j.	PROPN
ejpam-5527	78	2	pure	pure	PROPN
ejpam-5527	78	3	appl	appl	PROPN
ejpam-5527	78	4	.	.	PROPN
ejpam-5527	78	5	math	math	PROPN
ejpam-5527	78	6	,	,	PUNCT
ejpam-5527	78	7	17	17	NUM
ejpam-5527	78	8	(	(	PUNCT
ejpam-5527	78	9	4	4	NUM
ejpam-5527	78	10	)	)	PUNCT
ejpam-5527	78	11	(	(	PUNCT
ejpam-5527	78	12	2024	2024	NUM
ejpam-5527	78	13	)	)	PUNCT
ejpam-5527	78	14	,	,	PUNCT
ejpam-5527	78	15	3973	3973	NUM
ejpam-5527	78	16	-	-	SYM
ejpam-5527	78	17	3993	3993	NUM
ejpam-5527	78	18	3975	3975	NUM
ejpam-5527	78	19	demonstrated	demonstrate	VERB
ejpam-5527	78	20	interval	interval	NOUN
ejpam-5527	78	21	-	-	PUNCT
ejpam-5527	78	22	valued	value	VERB
ejpam-5527	78	23	bipolar	bipolar	ADJ
ejpam-5527	78	24	complex	complex	ADJ
ejpam-5527	78	25	fuzzy	fuzzy	ADJ
ejpam-5527	78	26	soft	soft	ADJ
ejpam-5527	78	27	set	set	NOUN
ejpam-5527	78	28	as	as	ADP
ejpam-5527	78	29	a	a	DET
ejpam-5527	78	30	generalization	generalization	NOUN
ejpam-5527	78	31	of	of	ADP
ejpam-5527	78	32	fuzzy	fuzzy	ADJ
ejpam-5527	78	33	set	set	NOUN
ejpam-5527	78	34	,	,	PUNCT
ejpam-5527	78	35	interval	interval	NOUN
ejpam-5527	78	36	-	-	PUNCT
ejpam-5527	78	37	valued	value	VERB
ejpam-5527	78	38	fuzzy	fuzzy	ADJ
ejpam-5527	78	39	set	set	NOUN
ejpam-5527	78	40	,	,	PUNCT
ejpam-5527	78	41	bipolar	bipolar	ADJ
ejpam-5527	78	42	fuzzy	fuzzy	ADJ
ejpam-5527	78	43	set	set	NOUN
ejpam-5527	78	44	,	,	PUNCT
ejpam-5527	78	45	complex	complex	ADJ
ejpam-5527	78	46	fuzzy	fuzzy	ADJ
ejpam-5527	78	47	set	set	NOUN
ejpam-5527	78	48	,	,	PUNCT
ejpam-5527	78	49	and	and	CCONJ
ejpam-5527	78	50	soft	soft	ADJ
ejpam-5527	78	51	set	set	NOUN
ejpam-5527	78	52	.	.	PUNCT
ejpam-5527	79	1	ali	ali	PROPN
ejpam-5527	79	2	et	et	PROPN
ejpam-5527	79	3	al	al	PROPN
ejpam-5527	79	4	.	.	PUNCT
ejpam-5527	80	1	[	[	X
ejpam-5527	80	2	30	30	NUM
ejpam-5527	80	3	]	]	PUNCT
ejpam-5527	80	4	extended	extend	VERB
ejpam-5527	80	5	ku	ku	PROPN
ejpam-5527	80	6	-	-	PUNCT
ejpam-5527	80	7	algebras	algebras	PROPN
ejpam-5527	80	8	and	and	CCONJ
ejpam-5527	80	9	investigated	investigate	VERB
ejpam-5527	80	10	properties	property	NOUN
ejpam-5527	80	11	based	base	VERB
ejpam-5527	80	12	on	on	ADP
ejpam-5527	80	13	them	they	PRON
ejpam-5527	80	14	whereas	whereas	SCONJ
ejpam-5527	80	15	moin	moin	PROPN
ejpam-5527	80	16	et	et	PROPN
ejpam-5527	80	17	al	al	PROPN
ejpam-5527	80	18	.	.	PUNCT
ejpam-5527	81	1	[	[	X
ejpam-5527	81	2	16	16	NUM
ejpam-5527	81	3	]	]	PUNCT
ejpam-5527	81	4	introduced	introduce	VERB
ejpam-5527	81	5	intersectional	intersectional	ADJ
ejpam-5527	81	6	soft	soft	ADJ
ejpam-5527	81	7	ideals	ideal	NOUN
ejpam-5527	81	8	and	and	CCONJ
ejpam-5527	81	9	their	their	PRON
ejpam-5527	81	10	quotients	quotient	NOUN
ejpam-5527	81	11	on	on	ADP
ejpam-5527	81	12	ku	ku	PROPN
ejpam-5527	81	13	-	-	PUNCT
ejpam-5527	81	14	algebras	algebras	PROPN
ejpam-5527	81	15	,	,	PUNCT
ejpam-5527	81	16	the	the	DET
ejpam-5527	81	17	article	article	NOUN
ejpam-5527	81	18	is	be	AUX
ejpam-5527	81	19	organized	organize	VERB
ejpam-5527	81	20	as	as	SCONJ
ejpam-5527	81	21	follows	follow	VERB
ejpam-5527	81	22	:	:	PUNCT
ejpam-5527	81	23	section	section	NOUN
ejpam-5527	81	24	2	2	NUM
ejpam-5527	81	25	proceeds	proceed	NOUN
ejpam-5527	81	26	with	with	ADP
ejpam-5527	81	27	a	a	DET
ejpam-5527	81	28	recapitulation	recapitulation	NOUN
ejpam-5527	81	29	of	of	ADP
ejpam-5527	81	30	all	all	DET
ejpam-5527	81	31	required	required	ADJ
ejpam-5527	81	32	definitions	definition	NOUN
ejpam-5527	81	33	and	and	CCONJ
ejpam-5527	81	34	properties	property	NOUN
ejpam-5527	81	35	.	.	PUNCT
ejpam-5527	82	1	in	in	ADP
ejpam-5527	82	2	section	section	NOUN
ejpam-5527	82	3	3	3	NUM
ejpam-5527	82	4	,	,	PUNCT
ejpam-5527	82	5	we	we	PRON
ejpam-5527	82	6	present	present	VERB
ejpam-5527	82	7	(	(	PUNCT
ejpam-5527	82	8	∈,∈	∈,∈	X
ejpam-5527	82	9	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	82	10	,	,	PUNCT
ejpam-5527	82	11	q̌φ))-bipolar	q̌φ))-bipolar	ADJ
ejpam-5527	82	12	fuzzy	fuzzy	ADJ
ejpam-5527	82	13	ideals	ideal	NOUN
ejpam-5527	82	14	in	in	ADP
ejpam-5527	82	15	bck	bck	PROPN
ejpam-5527	82	16	/	/	SYM
ejpam-5527	82	17	bci	bci	NOUN
ejpam-5527	82	18	-	-	PUNCT
ejpam-5527	82	19	algebras	algebras	X
ejpam-5527	82	20	.	.	PUNCT
ejpam-5527	83	1	in	in	ADP
ejpam-5527	83	2	section	section	NOUN
ejpam-5527	83	3	4	4	NUM
ejpam-5527	83	4	,	,	PUNCT
ejpam-5527	83	5	(	(	PUNCT
ejpam-5527	83	6	∈,∈	∈,∈	X
ejpam-5527	83	7	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	83	8	,	,	PUNCT
ejpam-5527	83	9	q̌φ))-bipolar	q̌φ))-bipolar	PROPN
ejpam-5527	83	10	fuzzy	fuzzy	ADJ
ejpam-5527	83	11	fantastic	fantastic	ADJ
ejpam-5527	83	12	ideals	ideal	NOUN
ejpam-5527	83	13	in	in	ADP
ejpam-5527	83	14	bck	bck	PROPN
ejpam-5527	83	15	/	/	SYM
ejpam-5527	83	16	bci	bci	NOUN
ejpam-5527	83	17	-	-	PUNCT
ejpam-5527	83	18	algebras	algebra	NOUN
ejpam-5527	83	19	are	be	AUX
ejpam-5527	83	20	proposed	propose	VERB
ejpam-5527	83	21	and	and	CCONJ
ejpam-5527	83	22	their	their	PRON
ejpam-5527	83	23	properties	property	NOUN
ejpam-5527	83	24	are	be	AUX
ejpam-5527	83	25	discussed	discuss	VERB
ejpam-5527	83	26	in	in	ADP
ejpam-5527	83	27	detail	detail	NOUN
ejpam-5527	83	28	.	.	PUNCT
ejpam-5527	84	1	finally	finally	ADV
ejpam-5527	84	2	,	,	PUNCT
ejpam-5527	84	3	in	in	ADP
ejpam-5527	84	4	section	section	NOUN
ejpam-5527	84	5	5	5	NUM
ejpam-5527	84	6	,	,	PUNCT
ejpam-5527	84	7	the	the	DET
ejpam-5527	84	8	conclusions	conclusion	NOUN
ejpam-5527	84	9	and	and	CCONJ
ejpam-5527	84	10	scope	scope	NOUN
ejpam-5527	84	11	of	of	ADP
ejpam-5527	84	12	future	future	ADJ
ejpam-5527	84	13	research	research	NOUN
ejpam-5527	84	14	are	be	AUX
ejpam-5527	84	15	given	give	VERB
ejpam-5527	84	16	.	.	PUNCT
ejpam-5527	85	1	2	2	X
ejpam-5527	85	2	.	.	X
ejpam-5527	85	3	preliminaries	preliminary	NOUN
ejpam-5527	85	4	bck	bck	VERB
ejpam-5527	85	5	-	-	PUNCT
ejpam-5527	85	6	algebras	algebras	PROPN
ejpam-5527	85	7	and	and	CCONJ
ejpam-5527	85	8	bci	bci	NOUN
ejpam-5527	85	9	-	-	PUNCT
ejpam-5527	85	10	algebras	algebra	NOUN
ejpam-5527	85	11	are	be	AUX
ejpam-5527	85	12	types	type	NOUN
ejpam-5527	85	13	of	of	ADP
ejpam-5527	85	14	algebraic	algebraic	ADJ
ejpam-5527	85	15	structures	structure	NOUN
ejpam-5527	85	16	used	use	VERB
ejpam-5527	85	17	in	in	ADP
ejpam-5527	85	18	the	the	DET
ejpam-5527	85	19	study	study	NOUN
ejpam-5527	85	20	of	of	ADP
ejpam-5527	85	21	non	non	ADJ
ejpam-5527	85	22	-	-	ADJ
ejpam-5527	85	23	classical	classical	ADJ
ejpam-5527	85	24	logics	logic	NOUN
ejpam-5527	85	25	,	,	PUNCT
ejpam-5527	85	26	particularly	particularly	ADV
ejpam-5527	85	27	in	in	ADP
ejpam-5527	85	28	the	the	DET
ejpam-5527	85	29	context	context	NOUN
ejpam-5527	85	30	of	of	ADP
ejpam-5527	85	31	certain	certain	ADJ
ejpam-5527	85	32	types	type	NOUN
ejpam-5527	85	33	of	of	ADP
ejpam-5527	85	34	implication	implication	NOUN
ejpam-5527	85	35	algebras	algebra	NOUN
ejpam-5527	85	36	.	.	PUNCT
ejpam-5527	86	1	these	these	DET
ejpam-5527	86	2	algebras	algebra	NOUN
ejpam-5527	86	3	generalize	generalize	VERB
ejpam-5527	86	4	certain	certain	ADJ
ejpam-5527	86	5	aspects	aspect	NOUN
ejpam-5527	86	6	of	of	ADP
ejpam-5527	86	7	set	set	NOUN
ejpam-5527	86	8	theory	theory	NOUN
ejpam-5527	86	9	,	,	PUNCT
ejpam-5527	86	10	logic	logic	NOUN
ejpam-5527	86	11	and	and	CCONJ
ejpam-5527	86	12	have	have	VERB
ejpam-5527	86	13	applications	application	NOUN
ejpam-5527	86	14	in	in	ADP
ejpam-5527	86	15	some	some	DET
ejpam-5527	86	16	areas	area	NOUN
ejpam-5527	86	17	,	,	PUNCT
ejpam-5527	86	18	such	such	ADJ
ejpam-5527	86	19	as	as	ADP
ejpam-5527	86	20	theoretical	theoretical	ADJ
ejpam-5527	86	21	computer	computer	NOUN
ejpam-5527	86	22	science	science	NOUN
ejpam-5527	86	23	and	and	CCONJ
ejpam-5527	86	24	mathematical	mathematical	ADJ
ejpam-5527	86	25	logic	logic	NOUN
ejpam-5527	86	26	.	.	PUNCT
ejpam-5527	87	1	definition	definition	NOUN
ejpam-5527	87	2	1	1	NUM
ejpam-5527	87	3	.	.	PUNCT
ejpam-5527	88	1	[	[	X
ejpam-5527	88	2	25	25	NUM
ejpam-5527	88	3	,	,	PUNCT
ejpam-5527	88	4	26	26	NUM
ejpam-5527	88	5	]	]	PUNCT
ejpam-5527	88	6	a	a	DET
ejpam-5527	88	7	bck	bck	NOUN
ejpam-5527	88	8	-	-	PUNCT
ejpam-5527	88	9	algebra	algebra	NOUN
ejpam-5527	88	10	is	be	AUX
ejpam-5527	88	11	a	a	DET
ejpam-5527	88	12	structure	structure	NOUN
ejpam-5527	88	13	(	(	PUNCT
ejpam-5527	88	14	ℵ̌	ℵ̌	PROPN
ejpam-5527	88	15	;	;	PUNCT
ejpam-5527	88	16	≬	≬	PROPN
ejpam-5527	88	17	,	,	PUNCT
ejpam-5527	88	18	0	0	NUM
ejpam-5527	88	19	)	)	PUNCT
ejpam-5527	88	20	consisting	consist	VERB
ejpam-5527	88	21	of	of	ADP
ejpam-5527	88	22	a	a	DET
ejpam-5527	88	23	non	non	ADJ
ejpam-5527	88	24	-	-	ADJ
ejpam-5527	88	25	empty	empty	ADJ
ejpam-5527	88	26	set	set	NOUN
ejpam-5527	88	27	ℵ̌	ℵ̌	PROPN
ejpam-5527	88	28	,	,	PUNCT
ejpam-5527	88	29	a	a	DET
ejpam-5527	88	30	binary	binary	ADJ
ejpam-5527	88	31	operation	operation	NOUN
ejpam-5527	88	32	≬	≬	PROPN
ejpam-5527	88	33	on	on	ADP
ejpam-5527	88	34	ℵ̌	ℵ̌	PROPN
ejpam-5527	88	35	,	,	PUNCT
ejpam-5527	88	36	and	and	CCONJ
ejpam-5527	88	37	a	a	DET
ejpam-5527	88	38	constant	constant	ADJ
ejpam-5527	88	39	0	0	NUM
ejpam-5527	88	40	∈	∈	PROPN
ejpam-5527	88	41	ℵ̌	ℵ̌	NOUN
ejpam-5527	88	42	,	,	PUNCT
ejpam-5527	88	43	satisfying	satisfy	VERB
ejpam-5527	88	44	the	the	DET
ejpam-5527	88	45	following	follow	VERB
ejpam-5527	88	46	axioms	axiom	NOUN
ejpam-5527	88	47	:	:	PUNCT
ejpam-5527	88	48	(	(	PUNCT
ejpam-5527	88	49	c1	c1	NOUN
ejpam-5527	88	50	)	)	PUNCT
ejpam-5527	88	51	(	(	PUNCT
ejpam-5527	88	52	(	(	PUNCT
ejpam-5527	88	53	ϱ̌0	ϱ̌0	NUM
ejpam-5527	88	54	≬	≬	PROPN
ejpam-5527	88	55	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	88	56	)	)	PUNCT
ejpam-5527	88	57	≬	≬	PROPN
ejpam-5527	88	58	(	(	PUNCT
ejpam-5527	88	59	ϱ̌0	ϱ̌0	NUM
ejpam-5527	88	60	≬	≬	PROPN
ejpam-5527	88	61	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	88	62	)	)	PUNCT
ejpam-5527	88	63	)	)	PUNCT
ejpam-5527	89	1	≬	≬	PROPN
ejpam-5527	89	2	(	(	PUNCT
ejpam-5527	89	3	ϱ̌2	ϱ̌2	NUM
ejpam-5527	89	4	≬	≬	PROPN
ejpam-5527	89	5	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	89	6	)	)	PUNCT
ejpam-5527	89	7	=	=	SYM
ejpam-5527	89	8	0	0	NUM
ejpam-5527	89	9	,	,	PUNCT
ejpam-5527	89	10	(	(	PUNCT
ejpam-5527	89	11	c2	c2	PROPN
ejpam-5527	89	12	)	)	PUNCT
ejpam-5527	89	13	(	(	PUNCT
ejpam-5527	89	14	ϱ̌0	ϱ̌0	NUM
ejpam-5527	89	15	≬	≬	PROPN
ejpam-5527	89	16	(	(	PUNCT
ejpam-5527	89	17	ϱ̌0	ϱ̌0	NUM
ejpam-5527	89	18	≬	≬	PROPN
ejpam-5527	89	19	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	89	20	)	)	PUNCT
ejpam-5527	89	21	)	)	PUNCT
ejpam-5527	90	1	≬	≬	PROPN
ejpam-5527	90	2	ϱ̌1	ϱ̌1	NUM
ejpam-5527	90	3	=	=	SYM
ejpam-5527	90	4	0	0	NUM
ejpam-5527	90	5	,	,	PUNCT
ejpam-5527	90	6	(	(	PUNCT
ejpam-5527	90	7	c3	c3	NOUN
ejpam-5527	90	8	)	)	PUNCT
ejpam-5527	90	9	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	90	10	≬	≬	PROPN
ejpam-5527	90	11	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	90	12	=	=	SYM
ejpam-5527	90	13	0	0	NUM
ejpam-5527	90	14	,	,	PUNCT
ejpam-5527	90	15	(	(	PUNCT
ejpam-5527	90	16	c4	c4	NOUN
ejpam-5527	90	17	)	)	PUNCT
ejpam-5527	90	18	0	0	NUM
ejpam-5527	91	1	≬	≬	PROPN
ejpam-5527	91	2	ϱ̌0	ϱ̌0	NUM
ejpam-5527	91	3	=	=	SYM
ejpam-5527	91	4	0	0	NUM
ejpam-5527	91	5	,	,	PUNCT
ejpam-5527	91	6	(	(	PUNCT
ejpam-5527	91	7	c5	c5	PROPN
ejpam-5527	91	8	)	)	PUNCT
ejpam-5527	91	9	ϱ̌0	ϱ̌0	VERB
ejpam-5527	91	10	≬	≬	PROPN
ejpam-5527	91	11	ϱ̌1	ϱ̌1	NUM
ejpam-5527	91	12	=	=	SYM
ejpam-5527	91	13	0	0	NUM
ejpam-5527	91	14	and	and	CCONJ
ejpam-5527	91	15	ϱ̌1	ϱ̌1	NUM
ejpam-5527	91	16	≬	≬	PROPN
ejpam-5527	91	17	ϱ̌0	ϱ̌0	NUM
ejpam-5527	91	18	=	=	SYM
ejpam-5527	91	19	0	0	NUM
ejpam-5527	91	20	⇒	⇒	NOUN
ejpam-5527	91	21	ϱ̌0	ϱ̌0	VERB
ejpam-5527	91	22	=	=	SYM
ejpam-5527	91	23	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	91	24	,	,	PUNCT
ejpam-5527	91	25	∀ϱ̌0	∀ϱ̌0	NOUN
ejpam-5527	91	26	,	,	PUNCT
ejpam-5527	91	27	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	91	28	,	,	PUNCT
ejpam-5527	91	29	ϱ̌2	ϱ̌2	VERB
ejpam-5527	91	30	∈	∈	PROPN
ejpam-5527	91	31	ℵ̌	ℵ̌	PROPN
ejpam-5527	91	32	a	a	DET
ejpam-5527	91	33	non	non	ADJ
ejpam-5527	91	34	-	-	ADJ
ejpam-5527	91	35	void	void	ADJ
ejpam-5527	91	36	subset	subset	NOUN
ejpam-5527	91	37	ǎ	ǎ	AUX
ejpam-5527	91	38	is	be	AUX
ejpam-5527	91	39	an	an	DET
ejpam-5527	91	40	ideal	ideal	NOUN
ejpam-5527	91	41	of	of	ADP
ejpam-5527	91	42	ℵ̌	ℵ̌	PROPN
ejpam-5527	91	43	if	if	SCONJ
ejpam-5527	91	44	(	(	PUNCT
ejpam-5527	91	45	i1	i1	PROPN
ejpam-5527	91	46	)	)	PUNCT
ejpam-5527	91	47	0	0	NUM
ejpam-5527	92	1	∈	∈	PROPN
ejpam-5527	92	2	ǎ	ǎ	PROPN
ejpam-5527	92	3	,	,	PUNCT
ejpam-5527	92	4	(	(	PUNCT
ejpam-5527	92	5	i2	i2	PROPN
ejpam-5527	92	6	)	)	PUNCT
ejpam-5527	92	7	∀ϱ̌0	∀ϱ̌0	NOUN
ejpam-5527	92	8	,	,	PUNCT
ejpam-5527	92	9	ϱ̌1	ϱ̌1	NUM
ejpam-5527	92	10	∈	∈	PROPN
ejpam-5527	92	11	ℵ̌	ℵ̌	PROPN
ejpam-5527	92	12	,	,	PUNCT
ejpam-5527	92	13	ϱ̌0	ϱ̌0	ADJ
ejpam-5527	92	14	≬	≬	PROPN
ejpam-5527	92	15	ϱ̌1	ϱ̌1	NUM
ejpam-5527	92	16	∈	∈	PROPN
ejpam-5527	92	17	ã	ã	PROPN
ejpam-5527	92	18	,	,	PUNCT
ejpam-5527	92	19	ϱ̌1	ϱ̌1	NUM
ejpam-5527	92	20	∈	∈	PROPN
ejpam-5527	92	21	ã	ã	PROPN
ejpam-5527	92	22	⇒	⇒	VERB
ejpam-5527	92	23	ϱ̌0	ϱ̌0	VERB
ejpam-5527	92	24	∈	∈	PROPN
ejpam-5527	92	25	ǎ.	ǎ.	NOUN
ejpam-5527	92	26	a	a	DET
ejpam-5527	92	27	non	non	ADJ
ejpam-5527	92	28	-	-	ADJ
ejpam-5527	92	29	void	void	ADJ
ejpam-5527	92	30	subset	subset	NOUN
ejpam-5527	92	31	ǎ	ǎ	AUX
ejpam-5527	92	32	is	be	AUX
ejpam-5527	92	33	a	a	DET
ejpam-5527	92	34	fantastic	fantastic	ADJ
ejpam-5527	92	35	ideal	ideal	NOUN
ejpam-5527	92	36	of	of	ADP
ejpam-5527	92	37	ℵ̌	ℵ̌	PROPN
ejpam-5527	92	38	if	if	SCONJ
ejpam-5527	92	39	(	(	PUNCT
ejpam-5527	92	40	i1	i1	PROPN
ejpam-5527	92	41	)	)	PUNCT
ejpam-5527	92	42	and	and	CCONJ
ejpam-5527	92	43	(	(	PUNCT
ejpam-5527	92	44	i3	i3	NOUN
ejpam-5527	92	45	)	)	PUNCT
ejpam-5527	92	46	∀ϱ̌0	∀ϱ̌0	NOUN
ejpam-5527	92	47	,	,	PUNCT
ejpam-5527	92	48	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	92	49	,	,	PUNCT
ejpam-5527	92	50	ϱ̌2	ϱ̌2	VERB
ejpam-5527	92	51	∈	∈	PROPN
ejpam-5527	92	52	ℵ̌	ℵ̌	NOUN
ejpam-5527	92	53	,	,	PUNCT
ejpam-5527	92	54	(	(	PUNCT
ejpam-5527	92	55	ϱ̌0	ϱ̌0	NUM
ejpam-5527	92	56	≬	≬	PROPN
ejpam-5527	92	57	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	92	58	)	)	PUNCT
ejpam-5527	93	1	≬	≬	PROPN
ejpam-5527	93	2	ϱ̌2	ϱ̌2	NUM
ejpam-5527	93	3	∈	∈	PROPN
ejpam-5527	93	4	ǎ	ǎ	PROPN
ejpam-5527	93	5	,	,	PUNCT
ejpam-5527	93	6	ϱ̌2	ϱ̌2	VERB
ejpam-5527	93	7	∈	∈	PROPN
ejpam-5527	93	8	ǎ	ǎ	PART
ejpam-5527	93	9	⇒	⇒	NOUN
ejpam-5527	93	10	ϱ̌0	ϱ̌0	NUM
ejpam-5527	93	11	≬	≬	PROPN
ejpam-5527	93	12	(	(	PUNCT
ejpam-5527	93	13	ϱ̌1	ϱ̌1	NUM
ejpam-5527	93	14	≬	≬	PROPN
ejpam-5527	93	15	(	(	PUNCT
ejpam-5527	93	16	ϱ̌1	ϱ̌1	X
ejpam-5527	93	17	≬	≬	PROPN
ejpam-5527	93	18	ϱ̌0	ϱ̌0	NUM
ejpam-5527	93	19	)	)	PUNCT
ejpam-5527	93	20	)	)	PUNCT
ejpam-5527	94	1	∈	∈	PROPN
ejpam-5527	94	2	ǎ.	ǎ.	NOUN
ejpam-5527	94	3	a	a	DET
ejpam-5527	94	4	bipolar	bipolar	ADJ
ejpam-5527	94	5	fuzzy	fuzzy	ADJ
ejpam-5527	94	6	set	set	NOUN
ejpam-5527	94	7	(	(	PUNCT
ejpam-5527	94	8	bfs	bfs	NOUN
ejpam-5527	94	9	)	)	PUNCT
ejpam-5527	94	10	is	be	AUX
ejpam-5527	94	11	denoted	denote	VERB
ejpam-5527	94	12	by	by	ADP
ejpam-5527	94	13	ζ̄	ζ̄	ADV
ejpam-5527	94	14	=	=	SYM
ejpam-5527	94	15	(	(	PUNCT
ejpam-5527	94	16	ζ̄−	ζ̄−	NOUN
ejpam-5527	94	17	,	,	PUNCT
ejpam-5527	94	18	ζ̄+	ζ̄+	NUM
ejpam-5527	94	19	)	)	PUNCT
ejpam-5527	94	20	,	,	PUNCT
ejpam-5527	94	21	where	where	SCONJ
ejpam-5527	94	22	ζ̄−	ζ̄−	NOUN
ejpam-5527	94	23	:	:	PUNCT
ejpam-5527	94	24	ℵ̌	ℵ̌	PROPN
ejpam-5527	94	25	→	→	SYM
ejpam-5527	94	26	[	[	X
ejpam-5527	94	27	−1	−1	NOUN
ejpam-5527	94	28	,	,	PUNCT
ejpam-5527	94	29	0	0	NUM
ejpam-5527	94	30	]	]	PUNCT
ejpam-5527	94	31	and	and	CCONJ
ejpam-5527	94	32	ζ̄+	ζ̄+	NUM
ejpam-5527	94	33	:	:	PUNCT
ejpam-5527	94	34	ℵ̌	ℵ̌	PROPN
ejpam-5527	94	35	→	→	SYM
ejpam-5527	95	1	[	[	X
ejpam-5527	95	2	0	0	NUM
ejpam-5527	95	3	,	,	PUNCT
ejpam-5527	95	4	1	1	NUM
ejpam-5527	95	5	]	]	PUNCT
ejpam-5527	95	6	.	.	PUNCT
ejpam-5527	96	1	definition	definition	NOUN
ejpam-5527	96	2	2	2	NUM
ejpam-5527	96	3	.	.	PUNCT
ejpam-5527	97	1	[	[	X
ejpam-5527	97	2	42	42	NUM
ejpam-5527	97	3	]	]	PUNCT
ejpam-5527	97	4	a	a	DET
ejpam-5527	97	5	bfs	bfs	NOUN
ejpam-5527	97	6	ζ̄	ζ̄	ADV
ejpam-5527	97	7	is	be	AUX
ejpam-5527	97	8	a	a	DET
ejpam-5527	97	9	bfi	bfi	PROPN
ejpam-5527	97	10	of	of	ADP
ejpam-5527	97	11	ℵ̌	ℵ̌	PROPN
ejpam-5527	97	12	if	if	SCONJ
ejpam-5527	97	13	it	it	PRON
ejpam-5527	97	14	meets	meet	VERB
ejpam-5527	97	15	the	the	DET
ejpam-5527	97	16	ensuing	ensue	VERB
ejpam-5527	97	17	assertions	assertion	NOUN
ejpam-5527	97	18	:	:	PUNCT
ejpam-5527	97	19	(	(	PUNCT
ejpam-5527	97	20	i	i	NOUN
ejpam-5527	97	21	)	)	PUNCT
ejpam-5527	97	22	ζ̄−(0	ζ̄−(0	VERB
ejpam-5527	97	23	)	)	PUNCT
ejpam-5527	97	24	≤	≤	NUM
ejpam-5527	97	25	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	97	26	)	)	PUNCT
ejpam-5527	97	27	,	,	PUNCT
ejpam-5527	97	28	ζ̄+(0	ζ̄+(0	PROPN
ejpam-5527	97	29	)	)	PUNCT
ejpam-5527	97	30	≥	≥	NOUN
ejpam-5527	97	31	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	97	32	)	)	PUNCT
ejpam-5527	97	33	.	.	PUNCT
ejpam-5527	98	1	(	(	PUNCT
ejpam-5527	98	2	ii	ii	NOUN
ejpam-5527	98	3	)	)	PUNCT
ejpam-5527	98	4	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	98	5	)	)	PUNCT
ejpam-5527	98	6	≤	≤	NOUN
ejpam-5527	98	7	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	98	8	≬	≬	PROPN
ejpam-5527	98	9	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	98	10	)	)	PUNCT
ejpam-5527	98	11	∨	∨	NUM
ejpam-5527	98	12	ζ̄−(ϱ̌1	ζ̄−(ϱ̌1	NOUN
ejpam-5527	98	13	)	)	PUNCT
ejpam-5527	98	14	,	,	PUNCT
ejpam-5527	98	15	(	(	PUNCT
ejpam-5527	98	16	iii	iii	X
ejpam-5527	98	17	)	)	PUNCT
ejpam-5527	98	18	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	98	19	)	)	PUNCT
ejpam-5527	98	20	≥	≥	X
ejpam-5527	98	21	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	98	22	≬	≬	PROPN
ejpam-5527	98	23	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	98	24	)	)	PUNCT
ejpam-5527	98	25	∧	∧	PROPN
ejpam-5527	98	26	ζ̄+(ϱ̌1),∀ϱ̌0	ζ̄+(ϱ̌1),∀ϱ̌0	PROPN
ejpam-5527	98	27	,	,	PUNCT
ejpam-5527	98	28	ϱ̌1	ϱ̌1	NUM
ejpam-5527	98	29	∈	∈	NOUN
ejpam-5527	98	30	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	98	31	definition	definition	NOUN
ejpam-5527	98	32	3	3	NUM
ejpam-5527	98	33	.	.	PUNCT
ejpam-5527	99	1	[	[	X
ejpam-5527	99	2	42	42	NUM
ejpam-5527	99	3	]	]	PUNCT
ejpam-5527	99	4	a	a	DET
ejpam-5527	99	5	bfs	bfs	NOUN
ejpam-5527	99	6	ζ̄	ζ̄	ADV
ejpam-5527	99	7	is	be	AUX
ejpam-5527	99	8	a	a	DET
ejpam-5527	99	9	(	(	PUNCT
ejpam-5527	99	10	∈,∈	∈,∈	X
ejpam-5527	99	11	∨q̌)-bfi	∨q̌)-bfi	PROPN
ejpam-5527	99	12	of	of	ADP
ejpam-5527	99	13	ℵ̌	ℵ̌	PROPN
ejpam-5527	99	14	if	if	SCONJ
ejpam-5527	99	15	it	it	PRON
ejpam-5527	99	16	meets	meet	VERB
ejpam-5527	99	17	the	the	DET
ejpam-5527	99	18	ensuing	ensue	VERB
ejpam-5527	99	19	assertions	assertion	NOUN
ejpam-5527	99	20	:	:	PUNCT
ejpam-5527	99	21	(	(	PUNCT
ejpam-5527	99	22	i	i	NOUN
ejpam-5527	99	23	)	)	PUNCT
ejpam-5527	99	24	ζ̄−(0	ζ̄−(0	VERB
ejpam-5527	99	25	)	)	PUNCT
ejpam-5527	99	26	≤	≤	NUM
ejpam-5527	99	27	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	99	28	)	)	PUNCT
ejpam-5527	99	29	,	,	PUNCT
ejpam-5527	99	30	ζ̄+(0	ζ̄+(0	PROPN
ejpam-5527	99	31	)	)	PUNCT
ejpam-5527	99	32	≥	≥	NOUN
ejpam-5527	99	33	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	99	34	)	)	PUNCT
ejpam-5527	99	35	.	.	PUNCT
ejpam-5527	100	1	(	(	PUNCT
ejpam-5527	100	2	ii	ii	NOUN
ejpam-5527	100	3	)	)	PUNCT
ejpam-5527	100	4	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	100	5	)	)	PUNCT
ejpam-5527	100	6	≤	≤	NOUN
ejpam-5527	100	7	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	100	8	≬	≬	PROPN
ejpam-5527	100	9	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	100	10	)	)	PUNCT
ejpam-5527	100	11	∨	∨	NUM
ejpam-5527	100	12	ζ̄−(ϱ̌1	ζ̄−(ϱ̌1	NOUN
ejpam-5527	100	13	)	)	PUNCT
ejpam-5527	100	14	∨	∨	NUM
ejpam-5527	100	15	−1	−1	NOUN
ejpam-5527	100	16	2	2	NUM
ejpam-5527	100	17	,	,	PUNCT
ejpam-5527	100	18	(	(	PUNCT
ejpam-5527	100	19	iii	iii	NOUN
ejpam-5527	100	20	)	)	PUNCT
ejpam-5527	100	21	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	100	22	)	)	PUNCT
ejpam-5527	100	23	≥	≥	X
ejpam-5527	100	24	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	100	25	≬	≬	PROPN
ejpam-5527	100	26	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	100	27	)	)	PUNCT
ejpam-5527	100	28	∧	∧	PROPN
ejpam-5527	100	29	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	100	30	)	)	PUNCT
ejpam-5527	100	31	∧	∧	NOUN
ejpam-5527	100	32	1	1	NUM
ejpam-5527	100	33	2	2	NUM
ejpam-5527	100	34	,	,	PUNCT
ejpam-5527	100	35	∀ϱ̌0	∀ϱ̌0	PROPN
ejpam-5527	100	36	,	,	PUNCT
ejpam-5527	100	37	ϱ̌1	ϱ̌1	NUM
ejpam-5527	100	38	∈	∈	PROPN
ejpam-5527	100	39	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	100	40	k.	k.	PROPN
ejpam-5527	100	41	h.	h.	PROPN
ejpam-5527	100	42	hakami	hakami	PROPN
ejpam-5527	100	43	et	et	PROPN
ejpam-5527	100	44	al	al	PROPN
ejpam-5527	100	45	.	.	PUNCT
ejpam-5527	100	46	/	/	SYM
ejpam-5527	100	47	eur	eur	PROPN
ejpam-5527	100	48	.	.	PUNCT
ejpam-5527	101	1	j.	j.	PROPN
ejpam-5527	101	2	pure	pure	PROPN
ejpam-5527	101	3	appl	appl	PROPN
ejpam-5527	101	4	.	.	PROPN
ejpam-5527	101	5	math	math	PROPN
ejpam-5527	101	6	,	,	PUNCT
ejpam-5527	101	7	17	17	NUM
ejpam-5527	101	8	(	(	PUNCT
ejpam-5527	101	9	4	4	NUM
ejpam-5527	101	10	)	)	PUNCT
ejpam-5527	101	11	(	(	PUNCT
ejpam-5527	101	12	2024	2024	NUM
ejpam-5527	101	13	)	)	PUNCT
ejpam-5527	101	14	,	,	PUNCT
ejpam-5527	101	15	3973	3973	NUM
ejpam-5527	101	16	-	-	SYM
ejpam-5527	101	17	3993	3993	NUM
ejpam-5527	101	18	3976	3976	NUM
ejpam-5527	101	19	3	3	NUM
ejpam-5527	101	20	.	.	PUNCT
ejpam-5527	102	1	(	(	PUNCT
ejpam-5527	102	2	∈,∈	∈,∈	X
ejpam-5527	102	3	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	102	4	,	,	PUNCT
ejpam-5527	102	5	q̌φ))-bipolar	q̌φ))-bipolar	ADJ
ejpam-5527	102	6	fuzzy	fuzzy	ADJ
ejpam-5527	102	7	ideals	ideal	NOUN
ejpam-5527	102	8	in	in	ADP
ejpam-5527	102	9	this	this	DET
ejpam-5527	102	10	section	section	NOUN
ejpam-5527	102	11	,	,	PUNCT
ejpam-5527	102	12	we	we	PRON
ejpam-5527	102	13	investigate	investigate	VERB
ejpam-5527	102	14	an	an	DET
ejpam-5527	102	15	(	(	PUNCT
ejpam-5527	102	16	∈,∈	∈,∈	X
ejpam-5527	102	17	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	102	18	,	,	PUNCT
ejpam-5527	102	19	q̌φ))-bipolar	q̌φ))-bipolar	ADJ
ejpam-5527	102	20	fuzzy	fuzzy	ADJ
ejpam-5527	102	21	ideal	ideal	NOUN
ejpam-5527	102	22	of	of	ADP
ejpam-5527	102	23	bck	bck	PROPN
ejpam-5527	102	24	/	/	SYM
ejpam-5527	102	25	bcialgebras	bcialgebras	NOUN
ejpam-5527	102	26	.	.	PUNCT
ejpam-5527	103	1	definition	definition	NOUN
ejpam-5527	103	2	4	4	NUM
ejpam-5527	103	3	.	.	PUNCT
ejpam-5527	104	1	a	a	DET
ejpam-5527	104	2	bfs	bfs	NOUN
ejpam-5527	104	3	ζ̄	ζ̄	ADV
ejpam-5527	104	4	is	be	AUX
ejpam-5527	104	5	an	an	DET
ejpam-5527	104	6	(	(	PUNCT
ejpam-5527	104	7	∈,∈	∈,∈	X
ejpam-5527	104	8	∨q̌φ)-bfi	∨q̌φ)-bfi	PROPN
ejpam-5527	104	9	of	of	ADP
ejpam-5527	104	10	ℵ̌	ℵ̌	PROPN
ejpam-5527	104	11	if	if	SCONJ
ejpam-5527	104	12	it	it	PRON
ejpam-5527	104	13	meets	meet	VERB
ejpam-5527	104	14	the	the	DET
ejpam-5527	104	15	ensuing	ensue	VERB
ejpam-5527	104	16	assertions	assertion	NOUN
ejpam-5527	104	17	:	:	PUNCT
ejpam-5527	104	18	(	(	PUNCT
ejpam-5527	104	19	i	i	NOUN
ejpam-5527	104	20	)	)	PUNCT
ejpam-5527	104	21	ζ̄−(0	ζ̄−(0	VERB
ejpam-5527	104	22	)	)	PUNCT
ejpam-5527	104	23	≤	≤	NUM
ejpam-5527	104	24	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	104	25	)	)	PUNCT
ejpam-5527	104	26	,	,	PUNCT
ejpam-5527	104	27	ζ̄+(0	ζ̄+(0	PROPN
ejpam-5527	104	28	)	)	PUNCT
ejpam-5527	104	29	≥	≥	NOUN
ejpam-5527	104	30	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	104	31	)	)	PUNCT
ejpam-5527	104	32	.	.	PUNCT
ejpam-5527	105	1	(	(	PUNCT
ejpam-5527	105	2	ii	ii	NOUN
ejpam-5527	105	3	)	)	PUNCT
ejpam-5527	105	4	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	105	5	)	)	PUNCT
ejpam-5527	105	6	≤	≤	NOUN
ejpam-5527	105	7	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	105	8	≬	≬	PROPN
ejpam-5527	105	9	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	105	10	)	)	PUNCT
ejpam-5527	105	11	∨	∨	NUM
ejpam-5527	105	12	ζ̄−(ϱ̌1	ζ̄−(ϱ̌1	NOUN
ejpam-5527	105	13	)	)	PUNCT
ejpam-5527	105	14	∨	∨	NOUN
ejpam-5527	105	15	(	(	PUNCT
ejpam-5527	105	16	φ2	φ2	NOUN
ejpam-5527	105	17	−	−	PROPN
ejpam-5527	105	18	1	1	NUM
ejpam-5527	105	19	2	2	NUM
ejpam-5527	105	20	)	)	PUNCT
ejpam-5527	105	21	,	,	PUNCT
ejpam-5527	105	22	(	(	PUNCT
ejpam-5527	105	23	iii	iii	X
ejpam-5527	105	24	)	)	PUNCT
ejpam-5527	105	25	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	105	26	)	)	PUNCT
ejpam-5527	105	27	≥	≥	X
ejpam-5527	105	28	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	105	29	≬	≬	PROPN
ejpam-5527	105	30	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	105	31	)	)	PUNCT
ejpam-5527	105	32	∧	∧	PROPN
ejpam-5527	105	33	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	105	34	)	)	PUNCT
ejpam-5527	105	35	∧	∧	NOUN
ejpam-5527	105	36	(	(	PUNCT
ejpam-5527	105	37	−φ	−φ	NOUN
ejpam-5527	105	38	2	2	NUM
ejpam-5527	105	39	+	+	CCONJ
ejpam-5527	105	40	1	1	NUM
ejpam-5527	105	41	2),∀ϱ̌0	2),∀ϱ̌0	NUM
ejpam-5527	105	42	,	,	PUNCT
ejpam-5527	105	43	ϱ̌1	ϱ̌1	NUM
ejpam-5527	105	44	∈	∈	NOUN
ejpam-5527	105	45	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	105	46	definition	definition	NOUN
ejpam-5527	105	47	5	5	NUM
ejpam-5527	105	48	.	.	PUNCT
ejpam-5527	106	1	a	a	DET
ejpam-5527	106	2	bfs	bfs	NOUN
ejpam-5527	106	3	ζ̄	ζ̄	ADV
ejpam-5527	106	4	is	be	AUX
ejpam-5527	106	5	an	an	DET
ejpam-5527	106	6	(	(	PUNCT
ejpam-5527	106	7	∈,∈	∈,∈	X
ejpam-5527	106	8	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	106	9	,	,	PUNCT
ejpam-5527	106	10	q̌φ))-bfi	q̌φ))-bfi	PROPN
ejpam-5527	106	11	of	of	ADP
ejpam-5527	106	12	ℵ̌	ℵ̌	PROPN
ejpam-5527	106	13	if	if	SCONJ
ejpam-5527	106	14	it	it	PRON
ejpam-5527	106	15	meets	meet	VERB
ejpam-5527	106	16	the	the	DET
ejpam-5527	106	17	ensuing	ensue	VERB
ejpam-5527	106	18	assertions	assertion	NOUN
ejpam-5527	106	19	:	:	PUNCT
ejpam-5527	106	20	(	(	PUNCT
ejpam-5527	106	21	i	i	NOUN
ejpam-5527	106	22	)	)	PUNCT
ejpam-5527	106	23	ζ̄−(0	ζ̄−(0	VERB
ejpam-5527	106	24	)	)	PUNCT
ejpam-5527	106	25	≤	≤	NUM
ejpam-5527	106	26	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	106	27	)	)	PUNCT
ejpam-5527	106	28	,	,	PUNCT
ejpam-5527	106	29	ζ̄+(0	ζ̄+(0	PROPN
ejpam-5527	106	30	)	)	PUNCT
ejpam-5527	106	31	≥	≥	NOUN
ejpam-5527	106	32	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	106	33	)	)	PUNCT
ejpam-5527	106	34	.	.	PUNCT
ejpam-5527	107	1	(	(	PUNCT
ejpam-5527	107	2	ii	ii	NOUN
ejpam-5527	107	3	)	)	PUNCT
ejpam-5527	107	4	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	107	5	)	)	PUNCT
ejpam-5527	107	6	≤	≤	NOUN
ejpam-5527	107	7	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	107	8	≬	≬	PROPN
ejpam-5527	107	9	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	107	10	)	)	PUNCT
ejpam-5527	107	11	∨	∨	NUM
ejpam-5527	107	12	ζ̄−(ϱ̌1	ζ̄−(ϱ̌1	NOUN
ejpam-5527	107	13	)	)	PUNCT
ejpam-5527	107	14	∨	∨	NUM
ejpam-5527	107	15	(	(	PUNCT
ejpam-5527	107	16	φ2	φ2	PROPN
ejpam-5527	107	17	−	−	PROPN
ejpam-5527	107	18	φ⋇	φ⋇	PROPN
ejpam-5527	107	19	2	2	NUM
ejpam-5527	107	20	)	)	PUNCT
ejpam-5527	107	21	,	,	PUNCT
ejpam-5527	107	22	(	(	PUNCT
ejpam-5527	107	23	iii	iii	X
ejpam-5527	107	24	)	)	PUNCT
ejpam-5527	107	25	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	107	26	)	)	PUNCT
ejpam-5527	107	27	≥	≥	X
ejpam-5527	107	28	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	107	29	≬	≬	PROPN
ejpam-5527	107	30	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	107	31	)	)	PUNCT
ejpam-5527	107	32	∧	∧	PROPN
ejpam-5527	107	33	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	107	34	)	)	PUNCT
ejpam-5527	107	35	∧	∧	NOUN
ejpam-5527	107	36	(	(	PUNCT
ejpam-5527	107	37	−φ	−φ	NOUN
ejpam-5527	107	38	2	2	NUM
ejpam-5527	107	39	+	+	CCONJ
ejpam-5527	107	40	φ⋇	φ⋇	PROPN
ejpam-5527	107	41	2	2	NUM
ejpam-5527	107	42	)	)	PUNCT
ejpam-5527	107	43	,	,	PUNCT
ejpam-5527	107	44	∀ϱ̌0	∀ϱ̌0	PROPN
ejpam-5527	107	45	,	,	PUNCT
ejpam-5527	107	46	ϱ̌1	ϱ̌1	NUM
ejpam-5527	107	47	∈	∈	NOUN
ejpam-5527	107	48	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	107	49	definition	definition	NOUN
ejpam-5527	107	50	6	6	NUM
ejpam-5527	107	51	.	.	PUNCT
ejpam-5527	108	1	a	a	DET
ejpam-5527	108	2	bfs	bfs	NOUN
ejpam-5527	108	3	ζ̄	ζ̄	ADV
ejpam-5527	108	4	is	be	AUX
ejpam-5527	108	5	an	an	DET
ejpam-5527	108	6	(	(	PUNCT
ejpam-5527	108	7	∈,∈	∈,∈	X
ejpam-5527	108	8	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	108	9	,	,	PUNCT
ejpam-5527	108	10	q̌φ))-bfi	q̌φ))-bfi	PROPN
ejpam-5527	108	11	of	of	ADP
ejpam-5527	108	12	ℵ̌	ℵ̌	PROPN
ejpam-5527	108	13	if	if	SCONJ
ejpam-5527	108	14	it	it	PRON
ejpam-5527	108	15	fulfills	fulfill	VERB
ejpam-5527	108	16	the	the	DET
ejpam-5527	108	17	ensuing	ensue	VERB
ejpam-5527	108	18	assertions	assertion	NOUN
ejpam-5527	108	19	:	:	PUNCT
ejpam-5527	108	20	(	(	PUNCT
ejpam-5527	108	21	i	i	NOUN
ejpam-5527	108	22	)	)	PUNCT
ejpam-5527	108	23	(	(	PUNCT
ejpam-5527	108	24	ϱ̌0	ϱ̌0	NUM
ejpam-5527	108	25	≬	≬	PROPN
ejpam-5527	108	26	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	108	27	,	,	PUNCT
ejpam-5527	108	28	š	š	NOUN
ejpam-5527	108	29	)	)	PUNCT
ejpam-5527	108	30	∈	∈	PROPN
ejpam-5527	108	31	ζ̄−	ζ̄−	NOUN
ejpam-5527	108	32	,	,	PUNCT
ejpam-5527	108	33	(	(	PUNCT
ejpam-5527	108	34	ϱ̌1	ϱ̌1	NUM
ejpam-5527	108	35	,	,	PUNCT
ejpam-5527	108	36	ť	ť	NOUN
ejpam-5527	108	37	)	)	PUNCT
ejpam-5527	108	38	∈	∈	PROPN
ejpam-5527	108	39	ζ̄−	ζ̄−	NOUN
ejpam-5527	108	40	⇒	⇒	NOUN
ejpam-5527	108	41	(	(	PUNCT
ejpam-5527	108	42	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	108	43	,	,	PUNCT
ejpam-5527	108	44	š	š	PROPN
ejpam-5527	108	45	∨	∨	NUM
ejpam-5527	108	46	ť	ť	NOUN
ejpam-5527	108	47	)	)	PUNCT
ejpam-5527	108	48	∈	∈	PROPN
ejpam-5527	108	49	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	108	50	,	,	PUNCT
ejpam-5527	108	51	q̌φ)ζ̄−	q̌φ)ζ̄−	PROPN
ejpam-5527	108	52	,	,	PUNCT
ejpam-5527	108	53	(	(	PUNCT
ejpam-5527	108	54	ii	ii	NOUN
ejpam-5527	108	55	)	)	PUNCT
ejpam-5527	108	56	(	(	PUNCT
ejpam-5527	108	57	ϱ̌0	ϱ̌0	NUM
ejpam-5527	108	58	≬	≬	PROPN
ejpam-5527	108	59	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	108	60	,	,	PUNCT
ejpam-5527	108	61	ǔ	ǔ	PRON
ejpam-5527	108	62	)	)	PUNCT
ejpam-5527	108	63	∈	∈	NOUN
ejpam-5527	108	64	ζ̄+	ζ̄+	PROPN
ejpam-5527	108	65	,	,	PUNCT
ejpam-5527	108	66	(	(	PUNCT
ejpam-5527	108	67	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	108	68	,	,	PUNCT
ejpam-5527	108	69	v̌	v̌	X
ejpam-5527	108	70	)	)	PUNCT
ejpam-5527	108	71	∈	∈	PROPN
ejpam-5527	108	72	ζ̄+	ζ̄+	PUNCT
ejpam-5527	108	73	⇒	⇒	NOUN
ejpam-5527	108	74	(	(	PUNCT
ejpam-5527	108	75	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	108	76	,	,	PUNCT
ejpam-5527	108	77	ǔ	ǔ	PROPN
ejpam-5527	108	78	∧	∧	PROPN
ejpam-5527	108	79	v̌	v̌	NOUN
ejpam-5527	108	80	)	)	PUNCT
ejpam-5527	108	81	∈	∈	PROPN
ejpam-5527	108	82	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	108	83	,	,	PUNCT
ejpam-5527	108	84	q̌φ)ζ̄+	q̌φ)ζ̄+	VERB
ejpam-5527	108	85	,	,	PUNCT
ejpam-5527	108	86	for	for	ADP
ejpam-5527	108	87	all	all	DET
ejpam-5527	108	88	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	108	89	,	,	PUNCT
ejpam-5527	108	90	ϱ̌1	ϱ̌1	X
ejpam-5527	108	91	∈	∈	PROPN
ejpam-5527	108	92	ℵ̌	ℵ̌	PROPN
ejpam-5527	108	93	,	,	PUNCT
ejpam-5527	108	94	š	š	PROPN
ejpam-5527	108	95	,	,	PUNCT
ejpam-5527	108	96	ť	ť	NOUN
ejpam-5527	108	97	∈	∈	PROPN
ejpam-5527	109	1	[	[	X
ejpam-5527	109	2	−1	−1	NOUN
ejpam-5527	109	3	,	,	PUNCT
ejpam-5527	109	4	0	0	NUM
ejpam-5527	109	5	)	)	PUNCT
ejpam-5527	109	6	and	and	CCONJ
ejpam-5527	109	7	ǔ	ǔ	PROPN
ejpam-5527	109	8	,	,	PUNCT
ejpam-5527	109	9	v̌	v̌	SYM
ejpam-5527	109	10	∈	∈	PROPN
ejpam-5527	109	11	(	(	PUNCT
ejpam-5527	109	12	0	0	NUM
ejpam-5527	109	13	,	,	PUNCT
ejpam-5527	109	14	1	1	NUM
ejpam-5527	109	15	]	]	PUNCT
ejpam-5527	109	16	.	.	PUNCT
ejpam-5527	109	17	example	example	NOUN
ejpam-5527	110	1	1	1	NUM
ejpam-5527	110	2	.	.	X
ejpam-5527	110	3	take	take	VERB
ejpam-5527	110	4	a	a	DET
ejpam-5527	110	5	bck	bck	NOUN
ejpam-5527	110	6	/	/	SYM
ejpam-5527	110	7	bci	bci	NOUN
ejpam-5527	110	8	-	-	NOUN
ejpam-5527	110	9	algebra	algebra	NOUN
ejpam-5527	110	10	ℵ̌	ℵ̌	PROPN
ejpam-5527	110	11	=	=	SYM
ejpam-5527	110	12	{	{	PUNCT
ejpam-5527	110	13	0	0	NUM
ejpam-5527	110	14	,	,	PUNCT
ejpam-5527	110	15	ǔ	ǔ	PRON
ejpam-5527	110	16	,	,	PUNCT
ejpam-5527	110	17	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	110	18	,	,	PUNCT
ejpam-5527	110	19	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	110	20	,	,	PUNCT
ejpam-5527	110	21	ϱ̌2	ϱ̌2	VERB
ejpam-5527	110	22	}	}	PUNCT
ejpam-5527	110	23	with	with	ADP
ejpam-5527	110	24	the	the	DET
ejpam-5527	110	25	subsequent	subsequent	ADJ
ejpam-5527	110	26	cayley	cayley	ADJ
ejpam-5527	110	27	table	table	NOUN
ejpam-5527	110	28	:	:	PUNCT
ejpam-5527	111	1	≬	≬	PROPN
ejpam-5527	111	2	0	0	NUM
ejpam-5527	111	3	ǔ	ǔ	SYM
ejpam-5527	111	4	ϱ̌0	ϱ̌0	VERB
ejpam-5527	111	5	ϱ̌1	ϱ̌1	NUM
ejpam-5527	111	6	ϱ̌2	ϱ̌2	NUM
ejpam-5527	111	7	0	0	NUM
ejpam-5527	111	8	0	0	NUM
ejpam-5527	111	9	0	0	NUM
ejpam-5527	111	10	0	0	NUM
ejpam-5527	111	11	0	0	NUM
ejpam-5527	111	12	0	0	NUM
ejpam-5527	111	13	ǔ	ǔ	SYM
ejpam-5527	111	14	ǔ	ǔ	ADV
ejpam-5527	111	15	0	0	NUM
ejpam-5527	111	16	ǔ	ǔ	SYM
ejpam-5527	111	17	0	0	NUM
ejpam-5527	111	18	ǔ	ǔ	SYM
ejpam-5527	111	19	ϱ̌0	ϱ̌0	VERB
ejpam-5527	111	20	ϱ̌0	ϱ̌0	VERB
ejpam-5527	111	21	ϱ̌0	ϱ̌0	NUM
ejpam-5527	111	22	0	0	NUM
ejpam-5527	111	23	0	0	NUM
ejpam-5527	111	24	0	0	NUM
ejpam-5527	111	25	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	111	26	ϱ̌1	ϱ̌1	NUM
ejpam-5527	111	27	ǔ	ǔ	NOUN
ejpam-5527	111	28	ϱ̌1	ϱ̌1	NUM
ejpam-5527	111	29	0	0	NUM
ejpam-5527	111	30	ϱ̌1	ϱ̌1	NUM
ejpam-5527	111	31	ϱ̌2	ϱ̌2	NUM
ejpam-5527	111	32	ϱ̌2	ϱ̌2	NUM
ejpam-5527	111	33	ϱ̌2	ϱ̌2	NUM
ejpam-5527	111	34	ϱ̌2	ϱ̌2	NUM
ejpam-5527	111	35	ϱ̌2	ϱ̌2	NUM
ejpam-5527	111	36	0	0	NUM
ejpam-5527	111	37	define	define	NOUN
ejpam-5527	111	38	a	a	DET
ejpam-5527	111	39	bfs	bfs	NOUN
ejpam-5527	111	40	ζ̄	ζ̄	ADV
ejpam-5527	111	41	of	of	ADP
ejpam-5527	111	42	ℵ̌	ℵ̌	PROPN
ejpam-5527	111	43	as	as	SCONJ
ejpam-5527	111	44	follows	follow	VERB
ejpam-5527	111	45	:	:	PUNCT
ejpam-5527	111	46	ζ̄(ǔ	ζ̄(ǔ	NUM
ejpam-5527	111	47	)	)	PUNCT
ejpam-5527	111	48	=	=	SYM
ejpam-5527	112	1			X
ejpam-5527	112	2	(	(	PUNCT
ejpam-5527	112	3	−0.72	−0.72	PROPN
ejpam-5527	112	4	,	,	PUNCT
ejpam-5527	112	5	0.52	0.52	NUM
ejpam-5527	112	6	)	)	PUNCT
ejpam-5527	112	7	,	,	PUNCT
ejpam-5527	112	8	ǔ	ǔ	SYM
ejpam-5527	112	9	=	=	SYM
ejpam-5527	112	10	0	0	NUM
ejpam-5527	112	11	;	;	PUNCT
ejpam-5527	112	12	(	(	PUNCT
ejpam-5527	112	13	−0.42	−0.42	X
ejpam-5527	112	14	,	,	PUNCT
ejpam-5527	112	15	0.22	0.22	NUM
ejpam-5527	112	16	)	)	PUNCT
ejpam-5527	112	17	,	,	PUNCT
ejpam-5527	112	18	ǔ	ǔ	SYM
ejpam-5527	112	19	=	=	SYM
ejpam-5527	112	20	ǔ	ǔ	PROPN
ejpam-5527	112	21	;	;	PUNCT
ejpam-5527	112	22	(	(	PUNCT
ejpam-5527	112	23	−0.22	−0.22	NOUN
ejpam-5527	112	24	,	,	PUNCT
ejpam-5527	112	25	0.06	0.06	NUM
ejpam-5527	112	26	)	)	PUNCT
ejpam-5527	112	27	,	,	PUNCT
ejpam-5527	112	28	ǔ	ǔ	SYM
ejpam-5527	112	29	=	=	SYM
ejpam-5527	112	30	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	112	31	;	;	PUNCT
ejpam-5527	112	32	(	(	PUNCT
ejpam-5527	112	33	−0.52	−0.52	ADV
ejpam-5527	112	34	,	,	PUNCT
ejpam-5527	112	35	0.12	0.12	NUM
ejpam-5527	112	36	)	)	PUNCT
ejpam-5527	112	37	,	,	PUNCT
ejpam-5527	112	38	ǔ	ǔ	SYM
ejpam-5527	112	39	=	=	SYM
ejpam-5527	112	40	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	112	41	;	;	PUNCT
ejpam-5527	112	42	(	(	PUNCT
ejpam-5527	112	43	−0.12	−0.12	NOUN
ejpam-5527	112	44	,	,	PUNCT
ejpam-5527	112	45	0.22	0.22	NUM
ejpam-5527	112	46	)	)	PUNCT
ejpam-5527	112	47	,	,	PUNCT
ejpam-5527	112	48	ǔ	ǔ	X
ejpam-5527	112	49	=	=	SYM
ejpam-5527	112	50	ϱ̌2	ϱ̌2	X
ejpam-5527	112	51	.	.	PUNCT
ejpam-5527	113	1	it	it	PRON
ejpam-5527	113	2	is	be	AUX
ejpam-5527	113	3	easy	easy	ADJ
ejpam-5527	113	4	to	to	PART
ejpam-5527	113	5	show	show	VERB
ejpam-5527	113	6	that	that	SCONJ
ejpam-5527	113	7	ζ̄	ζ̄	ADV
ejpam-5527	113	8	is	be	AUX
ejpam-5527	113	9	an	an	DET
ejpam-5527	113	10	(	(	PUNCT
ejpam-5527	113	11	∈,∈	∈,∈	X
ejpam-5527	113	12	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	113	13	,	,	PUNCT
ejpam-5527	113	14	q̌φ))-bfi	q̌φ))-bfi	PROPN
ejpam-5527	113	15	of	of	ADP
ejpam-5527	113	16	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	113	17	theorem	theorem	NOUN
ejpam-5527	113	18	1	1	NUM
ejpam-5527	113	19	.	.	PUNCT
ejpam-5527	113	20	a	a	DET
ejpam-5527	113	21	bfs	bfs	NOUN
ejpam-5527	113	22	ζ̄	ζ̄	ADV
ejpam-5527	113	23	is	be	AUX
ejpam-5527	113	24	an	an	DET
ejpam-5527	113	25	(	(	PUNCT
ejpam-5527	113	26	∈,∈	∈,∈	X
ejpam-5527	113	27	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	113	28	,	,	PUNCT
ejpam-5527	113	29	q̌φ))-bfi	q̌φ))-bfi	PROPN
ejpam-5527	113	30	of	of	ADP
ejpam-5527	113	31	ℵ̌	ℵ̌	PROPN
ejpam-5527	113	32	if	if	SCONJ
ejpam-5527	114	1	and	and	CCONJ
ejpam-5527	114	2	only	only	ADV
ejpam-5527	114	3	if	if	SCONJ
ejpam-5527	114	4	satisfies	satisfie	NOUN
ejpam-5527	114	5	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	114	6	)	)	PUNCT
ejpam-5527	114	7	≤	≤	NOUN
ejpam-5527	114	8	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	114	9	≬	≬	PROPN
ejpam-5527	114	10	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	114	11	)	)	PUNCT
ejpam-5527	114	12	∨	∨	NUM
ejpam-5527	114	13	ζ̄−(ϱ̌1	ζ̄−(ϱ̌1	NOUN
ejpam-5527	114	14	)	)	PUNCT
ejpam-5527	114	15	∨	∨	NUM
ejpam-5527	114	16	(	(	PUNCT
ejpam-5527	114	17	φ2	φ2	PROPN
ejpam-5527	114	18	−	−	PROPN
ejpam-5527	114	19	φ⋇	φ⋇	PROPN
ejpam-5527	114	20	2	2	NUM
ejpam-5527	114	21	)	)	PUNCT
ejpam-5527	114	22	k.	k.	PROPN
ejpam-5527	114	23	h.	h.	PROPN
ejpam-5527	114	24	hakami	hakami	PROPN
ejpam-5527	114	25	et	et	PROPN
ejpam-5527	114	26	al	al	PROPN
ejpam-5527	114	27	.	.	PUNCT
ejpam-5527	114	28	/	/	SYM
ejpam-5527	114	29	eur	eur	PROPN
ejpam-5527	114	30	.	.	PUNCT
ejpam-5527	115	1	j.	j.	PROPN
ejpam-5527	115	2	pure	pure	PROPN
ejpam-5527	115	3	appl	appl	PROPN
ejpam-5527	115	4	.	.	PROPN
ejpam-5527	115	5	math	math	PROPN
ejpam-5527	115	6	,	,	PUNCT
ejpam-5527	115	7	17	17	NUM
ejpam-5527	115	8	(	(	PUNCT
ejpam-5527	115	9	4	4	NUM
ejpam-5527	115	10	)	)	PUNCT
ejpam-5527	115	11	(	(	PUNCT
ejpam-5527	115	12	2024	2024	NUM
ejpam-5527	115	13	)	)	PUNCT
ejpam-5527	115	14	,	,	PUNCT
ejpam-5527	115	15	3973	3973	NUM
ejpam-5527	115	16	-	-	SYM
ejpam-5527	115	17	3993	3993	NUM
ejpam-5527	115	18	3977	3977	NUM
ejpam-5527	115	19	and	and	CCONJ
ejpam-5527	115	20	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	115	21	)	)	PUNCT
ejpam-5527	115	22	≥	≥	X
ejpam-5527	115	23	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	115	24	≬	≬	PROPN
ejpam-5527	115	25	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	115	26	)	)	PUNCT
ejpam-5527	115	27	∧	∧	PROPN
ejpam-5527	115	28	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	115	29	)	)	PUNCT
ejpam-5527	115	30	∧	∧	NOUN
ejpam-5527	115	31	(	(	PUNCT
ejpam-5527	115	32	−φ	−φ	NOUN
ejpam-5527	115	33	2	2	NUM
ejpam-5527	115	34	+	+	CCONJ
ejpam-5527	115	35	φ⋇	φ⋇	PROPN
ejpam-5527	115	36	2	2	NUM
ejpam-5527	115	37	)	)	PUNCT
ejpam-5527	115	38	for	for	ADP
ejpam-5527	115	39	all	all	DET
ejpam-5527	115	40	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	115	41	,	,	PUNCT
ejpam-5527	115	42	ϱ̌1	ϱ̌1	NUM
ejpam-5527	115	43	∈	∈	NOUN
ejpam-5527	115	44	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	115	45	proof	proof	NOUN
ejpam-5527	115	46	.	.	PUNCT
ejpam-5527	116	1	let	let	VERB
ejpam-5527	116	2	ζ̄	ζ̄	ADV
ejpam-5527	116	3	be	be	AUX
ejpam-5527	116	4	an	an	DET
ejpam-5527	116	5	(	(	PUNCT
ejpam-5527	116	6	∈,∈	∈,∈	X
ejpam-5527	116	7	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	116	8	,	,	PUNCT
ejpam-5527	116	9	q̌φ))-bfi	q̌φ))-bfi	PROPN
ejpam-5527	116	10	of	of	ADP
ejpam-5527	116	11	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	116	12	if	if	SCONJ
ejpam-5527	116	13	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	116	14	≬	≬	PROPN
ejpam-5527	116	15	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	116	16	)	)	PUNCT
ejpam-5527	116	17	∨	∨	NUM
ejpam-5527	116	18	ζ̄−(ϱ̌1	ζ̄−(ϱ̌1	NOUN
ejpam-5527	116	19	)	)	PUNCT
ejpam-5527	116	20	>	>	X
ejpam-5527	117	1	φ	φ	PROPN
ejpam-5527	117	2	2	2	NUM
ejpam-5527	117	3	−	−	PROPN
ejpam-5527	117	4	φ⋇	φ⋇	PROPN
ejpam-5527	117	5	2	2	NUM
ejpam-5527	117	6	and	and	CCONJ
ejpam-5527	117	7	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	117	8	≬	≬	PROPN
ejpam-5527	117	9	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	117	10	)	)	PUNCT
ejpam-5527	117	11	∧	∧	PROPN
ejpam-5527	117	12	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	117	13	)	)	PUNCT
ejpam-5527	117	14	<	<	X
ejpam-5527	117	15	−φ	−φ	NOUN
ejpam-5527	117	16	2	2	NUM
ejpam-5527	117	17	+	+	CCONJ
ejpam-5527	117	18	φ⋇	φ⋇	PROPN
ejpam-5527	117	19	2	2	NUM
ejpam-5527	117	20	,	,	PUNCT
ejpam-5527	117	21	then	then	ADV
ejpam-5527	117	22	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	117	23	)	)	PUNCT
ejpam-5527	117	24	≤	≤	NOUN
ejpam-5527	117	25	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	117	26	≬	≬	PROPN
ejpam-5527	117	27	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	117	28	)	)	PUNCT
ejpam-5527	117	29	∨	∨	NUM
ejpam-5527	117	30	ζ̄−(ϱ̌1	ζ̄−(ϱ̌1	NOUN
ejpam-5527	117	31	)	)	PUNCT
ejpam-5527	117	32	and	and	CCONJ
ejpam-5527	117	33	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	117	34	)	)	PUNCT
ejpam-5527	117	35	≥	≥	X
ejpam-5527	117	36	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	117	37	≬	≬	PROPN
ejpam-5527	117	38	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	117	39	)	)	PUNCT
ejpam-5527	117	40	∧	∧	PROPN
ejpam-5527	117	41	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	117	42	)	)	PUNCT
ejpam-5527	117	43	.	.	PUNCT
ejpam-5527	118	1	assume	assume	VERB
ejpam-5527	118	2	that	that	SCONJ
ejpam-5527	118	3	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	118	4	)	)	PUNCT
ejpam-5527	118	5	>	>	X
ejpam-5527	118	6	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	118	7	≬	≬	PROPN
ejpam-5527	118	8	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	118	9	)	)	PUNCT
ejpam-5527	118	10	∨	∨	NUM
ejpam-5527	118	11	ζ̄−(ϱ̌1	ζ̄−(ϱ̌1	NOUN
ejpam-5527	118	12	)	)	PUNCT
ejpam-5527	118	13	and	and	CCONJ
ejpam-5527	118	14	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	118	15	)	)	PUNCT
ejpam-5527	118	16	<	<	X
ejpam-5527	118	17	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	118	18	≬	≬	PROPN
ejpam-5527	118	19	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	118	20	)	)	PUNCT
ejpam-5527	118	21	∧	∧	PROPN
ejpam-5527	118	22	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	118	23	)	)	PUNCT
ejpam-5527	118	24	.	.	PUNCT
ejpam-5527	119	1	let	let	VERB
ejpam-5527	119	2	us	we	PRON
ejpam-5527	119	3	take	take	VERB
ejpam-5527	119	4	š	š	NOUN
ejpam-5527	119	5	∈	∈	NOUN
ejpam-5527	119	6	¬ζ̄	¬ζ̄	NOUN
ejpam-5527	119	7	and	and	CCONJ
ejpam-5527	119	8	ǔ	ǔ	SYM
ejpam-5527	119	9	∈	∈	PROPN
ejpam-5527	119	10	ζ̄	ζ̄	VERB
ejpam-5527	119	11	such	such	ADJ
ejpam-5527	119	12	that	that	DET
ejpam-5527	119	13	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	119	14	)	)	PUNCT
ejpam-5527	119	15	>	>	X
ejpam-5527	120	1	š	š	X
ejpam-5527	120	2	>	>	X
ejpam-5527	120	3	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	120	4	≬	≬	PROPN
ejpam-5527	120	5	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	120	6	)	)	PUNCT
ejpam-5527	120	7	∨	∨	NUM
ejpam-5527	120	8	ζ̄−(ϱ̌1	ζ̄−(ϱ̌1	NOUN
ejpam-5527	120	9	)	)	PUNCT
ejpam-5527	120	10	and	and	CCONJ
ejpam-5527	120	11	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	120	12	)	)	PUNCT
ejpam-5527	120	13	<	<	X
ejpam-5527	121	1	ǔ	ǔ	X
ejpam-5527	121	2	<	<	X
ejpam-5527	121	3	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	121	4	≬	≬	PROPN
ejpam-5527	121	5	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	121	6	)	)	PUNCT
ejpam-5527	121	7	∧	∧	PROPN
ejpam-5527	121	8	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	121	9	)	)	PUNCT
ejpam-5527	121	10	.	.	PUNCT
ejpam-5527	122	1	then	then	ADV
ejpam-5527	122	2	(	(	PUNCT
ejpam-5527	122	3	ϱ̌0	ϱ̌0	NUM
ejpam-5527	122	4	≬	≬	PROPN
ejpam-5527	122	5	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	122	6	,	,	PUNCT
ejpam-5527	122	7	š	š	NOUN
ejpam-5527	122	8	)	)	PUNCT
ejpam-5527	122	9	∈	∈	PROPN
ejpam-5527	122	10	ζ̄−	ζ̄−	NOUN
ejpam-5527	122	11	,	,	PUNCT
ejpam-5527	122	12	(	(	PUNCT
ejpam-5527	122	13	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	122	14	,	,	PUNCT
ejpam-5527	122	15	š	š	NOUN
ejpam-5527	122	16	)	)	PUNCT
ejpam-5527	122	17	∈	∈	PROPN
ejpam-5527	122	18	ζ̄−	ζ̄−	NOUN
ejpam-5527	122	19	and	and	CCONJ
ejpam-5527	122	20	(	(	PUNCT
ejpam-5527	122	21	ϱ̌0	ϱ̌0	NUM
ejpam-5527	122	22	≬	≬	PROPN
ejpam-5527	122	23	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	122	24	,	,	PUNCT
ejpam-5527	122	25	ǔ	ǔ	PRON
ejpam-5527	122	26	)	)	PUNCT
ejpam-5527	122	27	∈	∈	NOUN
ejpam-5527	122	28	ζ̄+	ζ̄+	PROPN
ejpam-5527	122	29	,	,	PUNCT
ejpam-5527	122	30	(	(	PUNCT
ejpam-5527	122	31	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	122	32	,	,	PUNCT
ejpam-5527	122	33	ǔ	ǔ	PRON
ejpam-5527	122	34	)	)	PUNCT
ejpam-5527	122	35	∈	∈	PROPN
ejpam-5527	122	36	ζ̄+	ζ̄+	PUNCT
ejpam-5527	122	37	but	but	CCONJ
ejpam-5527	122	38	(	(	PUNCT
ejpam-5527	122	39	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	122	40	,	,	PUNCT
ejpam-5527	122	41	š	š	PROPN
ejpam-5527	122	42	∨	∨	NUM
ejpam-5527	122	43	š	š	NOUN
ejpam-5527	122	44	)	)	PUNCT
ejpam-5527	122	45	=	=	SYM
ejpam-5527	122	46	(	(	PUNCT
ejpam-5527	122	47	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	122	48	,	,	PUNCT
ejpam-5527	122	49	š)∈	š)∈	PROPN
ejpam-5527	122	50	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	122	51	,	,	PUNCT
ejpam-5527	122	52	q̌φ)ζ̄−	q̌φ)ζ̄−	PROPN
ejpam-5527	122	53	and	and	CCONJ
ejpam-5527	122	54	(	(	PUNCT
ejpam-5527	122	55	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	122	56	,	,	PUNCT
ejpam-5527	122	57	ǔ	ǔ	PROPN
ejpam-5527	122	58	∧	∧	PROPN
ejpam-5527	122	59	ǔ	ǔ	PROPN
ejpam-5527	122	60	)	)	PUNCT
ejpam-5527	122	61	=	=	SYM
ejpam-5527	122	62	(	(	PUNCT
ejpam-5527	122	63	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	122	64	,	,	PUNCT
ejpam-5527	122	65	ǔ)∈	ǔ)∈	PROPN
ejpam-5527	122	66	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	122	67	,	,	PUNCT
ejpam-5527	122	68	q̌φ)ζ̄+	q̌φ)ζ̄+	VERB
ejpam-5527	122	69	,	,	PUNCT
ejpam-5527	122	70	a	a	DET
ejpam-5527	122	71	contradiction	contradiction	NOUN
ejpam-5527	122	72	.	.	PUNCT
ejpam-5527	123	1	hence	hence	ADV
ejpam-5527	123	2	,	,	PUNCT
ejpam-5527	123	3	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	123	4	)	)	PUNCT
ejpam-5527	123	5	≤	≤	NOUN
ejpam-5527	123	6	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	123	7	≬	≬	PROPN
ejpam-5527	123	8	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	123	9	)	)	PUNCT
ejpam-5527	123	10	∨	∨	NUM
ejpam-5527	123	11	ζ̄−(ϱ̌1	ζ̄−(ϱ̌1	NOUN
ejpam-5527	123	12	)	)	PUNCT
ejpam-5527	123	13	whenever	whenever	SCONJ
ejpam-5527	123	14	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	X
ejpam-5527	123	15	≬	≬	PROPN
ejpam-5527	123	16	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	123	17	)	)	PUNCT
ejpam-5527	123	18	∨	∨	NUM
ejpam-5527	123	19	ζ̄−(ϱ̌1	ζ̄−(ϱ̌1	NOUN
ejpam-5527	123	20	)	)	PUNCT
ejpam-5527	123	21	>	>	X
ejpam-5527	124	1	φ	φ	PROPN
ejpam-5527	124	2	2	2	NUM
ejpam-5527	124	3	−	−	PROPN
ejpam-5527	124	4	φ⋇	φ⋇	PROPN
ejpam-5527	124	5	2	2	NUM
ejpam-5527	124	6	and	and	CCONJ
ejpam-5527	124	7	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	124	8	)	)	PUNCT
ejpam-5527	124	9	≥	≥	X
ejpam-5527	124	10	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	124	11	≬	≬	PROPN
ejpam-5527	124	12	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	124	13	)	)	PUNCT
ejpam-5527	124	14	∧	∧	NOUN
ejpam-5527	124	15	ζ̄+(y̌	ζ̄+(y̌	NOUN
ejpam-5527	124	16	)	)	PUNCT
ejpam-5527	124	17	whenever	whenever	SCONJ
ejpam-5527	124	18	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	124	19	≬	≬	PROPN
ejpam-5527	124	20	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	124	21	)	)	PUNCT
ejpam-5527	124	22	∧	∧	PROPN
ejpam-5527	124	23	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	124	24	)	)	PUNCT
ejpam-5527	124	25	<	<	X
ejpam-5527	124	26	−φ	−φ	NOUN
ejpam-5527	124	27	2	2	NUM
ejpam-5527	124	28	+	+	CCONJ
ejpam-5527	124	29	φ⋇	φ⋇	PROPN
ejpam-5527	124	30	2	2	NUM
ejpam-5527	124	31	.	.	PUNCT
ejpam-5527	125	1	suppose	suppose	VERB
ejpam-5527	125	2	that	that	SCONJ
ejpam-5527	125	3	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	125	4	≬	≬	PROPN
ejpam-5527	125	5	ϱ̌1)∨	ϱ̌1)∨	VERB
ejpam-5527	125	6	ζ̄−(ϱ̌1	ζ̄−(ϱ̌1	NOUN
ejpam-5527	125	7	)	)	PUNCT
ejpam-5527	125	8	≤	≤	NUM
ejpam-5527	125	9	φ	φ	NUM
ejpam-5527	125	10	2	2	NUM
ejpam-5527	125	11	−	−	PROPN
ejpam-5527	125	12	φ⋇	φ⋇	PROPN
ejpam-5527	125	13	2	2	NUM
ejpam-5527	125	14	and	and	CCONJ
ejpam-5527	125	15	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	125	16	≬	≬	PROPN
ejpam-5527	125	17	ϱ̌1)∧	ϱ̌1)∧	NUM
ejpam-5527	125	18	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	125	19	)	)	PUNCT
ejpam-5527	125	20	≥	≥	NOUN
ejpam-5527	125	21	−φ	−φ	NOUN
ejpam-5527	125	22	2	2	NUM
ejpam-5527	125	23	+	+	CCONJ
ejpam-5527	125	24	φ⋇	φ⋇	PROPN
ejpam-5527	125	25	2	2	NUM
ejpam-5527	125	26	.	.	PUNCT
ejpam-5527	126	1	then	then	ADV
ejpam-5527	126	2	,	,	PUNCT
ejpam-5527	126	3	(	(	PUNCT
ejpam-5527	126	4	ϱ̌0	ϱ̌0	NUM
ejpam-5527	126	5	≬	≬	PROPN
ejpam-5527	126	6	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	126	7	,	,	PUNCT
ejpam-5527	126	8	φ	φ	X
ejpam-5527	126	9	2	2	NUM
ejpam-5527	126	10	−	−	PROPN
ejpam-5527	126	11	φ⋇	φ⋇	PROPN
ejpam-5527	126	12	2	2	NUM
ejpam-5527	126	13	)	)	PUNCT
ejpam-5527	126	14	∈	∈	PROPN
ejpam-5527	126	15	ζ̄−	ζ̄−	NOUN
ejpam-5527	126	16	,	,	PUNCT
ejpam-5527	126	17	(	(	PUNCT
ejpam-5527	126	18	ϱ̌1	ϱ̌1	NUM
ejpam-5527	126	19	,	,	PUNCT
ejpam-5527	126	20	φ	φ	X
ejpam-5527	126	21	2	2	NUM
ejpam-5527	126	22	−	−	PROPN
ejpam-5527	126	23	φ⋇	φ⋇	PROPN
ejpam-5527	126	24	2	2	NUM
ejpam-5527	126	25	)	)	PUNCT
ejpam-5527	126	26	∈	∈	PROPN
ejpam-5527	126	27	ζ̄−	ζ̄−	NOUN
ejpam-5527	126	28	and	and	CCONJ
ejpam-5527	126	29	(	(	PUNCT
ejpam-5527	126	30	ϱ̌0	ϱ̌0	NUM
ejpam-5527	126	31	≬	≬	PROPN
ejpam-5527	126	32	ϱ̌1,−φ	ϱ̌1,−φ	CCONJ
ejpam-5527	126	33	2	2	NUM
ejpam-5527	126	34	+	+	CCONJ
ejpam-5527	126	35	φ⋇	φ⋇	PROPN
ejpam-5527	126	36	2	2	NUM
ejpam-5527	126	37	)	)	PUNCT
ejpam-5527	126	38	∈	∈	PROPN
ejpam-5527	126	39	ζ̄+	ζ̄+	NOUN
ejpam-5527	126	40	,	,	PUNCT
ejpam-5527	126	41	(	(	PUNCT
ejpam-5527	126	42	ϱ̌1,−φ	ϱ̌1,−φ	NOUN
ejpam-5527	126	43	2	2	NUM
ejpam-5527	126	44	+	+	CCONJ
ejpam-5527	126	45	φ⋇	φ⋇	PROPN
ejpam-5527	126	46	2	2	NUM
ejpam-5527	126	47	)	)	PUNCT
ejpam-5527	126	48	∈	∈	PROPN
ejpam-5527	126	49	ζ̄+	ζ̄+	NOUN
ejpam-5527	126	50	,	,	PUNCT
ejpam-5527	126	51	which	which	PRON
ejpam-5527	126	52	imply	imply	VERB
ejpam-5527	126	53	that	that	PRON
ejpam-5527	126	54	(	(	PUNCT
ejpam-5527	126	55	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	126	56	,	,	PUNCT
ejpam-5527	126	57	(	(	PUNCT
ejpam-5527	126	58	φ	φ	PROPN
ejpam-5527	126	59	2	2	NUM
ejpam-5527	126	60	−	−	PROPN
ejpam-5527	126	61	φ⋇	φ⋇	PROPN
ejpam-5527	126	62	2	2	NUM
ejpam-5527	126	63	)	)	PUNCT
ejpam-5527	126	64	∧	∧	PROPN
ejpam-5527	126	65	(	(	PUNCT
ejpam-5527	126	66	φ2	φ2	PROPN
ejpam-5527	126	67	−	−	PROPN
ejpam-5527	126	68	φ⋇	φ⋇	PROPN
ejpam-5527	126	69	2	2	NUM
ejpam-5527	126	70	)	)	PUNCT
ejpam-5527	126	71	)	)	PUNCT
ejpam-5527	127	1	=	=	PRON
ejpam-5527	127	2	(	(	PUNCT
ejpam-5527	127	3	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	127	4	,	,	PUNCT
ejpam-5527	127	5	(	(	PUNCT
ejpam-5527	127	6	φ	φ	PROPN
ejpam-5527	127	7	2	2	NUM
ejpam-5527	127	8	−	−	PROPN
ejpam-5527	127	9	φ⋇	φ⋇	PROPN
ejpam-5527	127	10	2	2	NUM
ejpam-5527	127	11	)	)	PUNCT
ejpam-5527	127	12	)	)	PUNCT
ejpam-5527	128	1	∈	∈	PROPN
ejpam-5527	128	2	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	128	3	,	,	PUNCT
ejpam-5527	128	4	q̌φ)ζ̄−	q̌φ)ζ̄−	PROPN
ejpam-5527	128	5	(	(	PUNCT
ejpam-5527	128	6	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	128	7	,	,	PUNCT
ejpam-5527	128	8	(	(	PUNCT
ejpam-5527	128	9	−φ	−φ	NOUN
ejpam-5527	128	10	2	2	NUM
ejpam-5527	128	11	+	+	CCONJ
ejpam-5527	128	12	φ⋇	φ⋇	PROPN
ejpam-5527	128	13	2	2	NUM
ejpam-5527	128	14	)	)	PUNCT
ejpam-5527	128	15	∧	∧	PROPN
ejpam-5527	128	16	(	(	PUNCT
ejpam-5527	128	17	−φ	−φ	NOUN
ejpam-5527	128	18	2	2	NUM
ejpam-5527	128	19	+	+	CCONJ
ejpam-5527	128	20	φ⋇	φ⋇	PROPN
ejpam-5527	128	21	2	2	NUM
ejpam-5527	128	22	)	)	PUNCT
ejpam-5527	128	23	)	)	PUNCT
ejpam-5527	129	1	=	=	PRON
ejpam-5527	129	2	(	(	PUNCT
ejpam-5527	129	3	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	129	4	,	,	PUNCT
ejpam-5527	129	5	(	(	PUNCT
ejpam-5527	129	6	−φ	−φ	NOUN
ejpam-5527	129	7	2	2	NUM
ejpam-5527	129	8	+	+	CCONJ
ejpam-5527	129	9	φ⋇	φ⋇	PROPN
ejpam-5527	129	10	2	2	NUM
ejpam-5527	129	11	)	)	PUNCT
ejpam-5527	129	12	)	)	PUNCT
ejpam-5527	130	1	∈	∈	PROPN
ejpam-5527	130	2	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	130	3	,	,	PUNCT
ejpam-5527	130	4	q̌φ)ζ̄+	q̌φ)ζ̄+	VERB
ejpam-5527	130	5	.	.	PUNCT
ejpam-5527	131	1	thus	thus	ADV
ejpam-5527	131	2	,	,	PUNCT
ejpam-5527	131	3	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	131	4	)	)	PUNCT
ejpam-5527	131	5	≤	≤	NUM
ejpam-5527	131	6	φ	φ	NUM
ejpam-5527	131	7	2	2	NUM
ejpam-5527	131	8	−	−	PROPN
ejpam-5527	131	9	φ⋇	φ⋇	PROPN
ejpam-5527	131	10	2	2	NUM
ejpam-5527	131	11	and	and	CCONJ
ejpam-5527	131	12	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	131	13	)	)	PUNCT
ejpam-5527	131	14	≥	≥	NOUN
ejpam-5527	131	15	−φ	−φ	NOUN
ejpam-5527	131	16	2	2	NUM
ejpam-5527	131	17	+	+	CCONJ
ejpam-5527	131	18	φ⋇	φ⋇	PROPN
ejpam-5527	131	19	2	2	NUM
ejpam-5527	131	20	.	.	PUNCT
ejpam-5527	132	1	otherwise	otherwise	ADV
ejpam-5527	132	2	,	,	PUNCT
ejpam-5527	132	3	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	INTJ
ejpam-5527	132	4	)	)	PUNCT
ejpam-5527	133	1	+	+	CCONJ
ejpam-5527	133	2	φ	φ	NUM
ejpam-5527	133	3	2	2	NUM
ejpam-5527	133	4	−	−	PROPN
ejpam-5527	133	5	φ⋇	φ⋇	PROPN
ejpam-5527	133	6	2	2	NUM
ejpam-5527	133	7	>	>	SYM
ejpam-5527	133	8	φ	φ	PROPN
ejpam-5527	133	9	2	2	NUM
ejpam-5527	133	10	−	−	PROPN
ejpam-5527	133	11	φ⋇	φ⋇	PROPN
ejpam-5527	133	12	2	2	NUM
ejpam-5527	133	13	+	+	CCONJ
ejpam-5527	133	14	φ	φ	PROPN
ejpam-5527	133	15	2	2	NUM
ejpam-5527	133	16	−	−	PROPN
ejpam-5527	133	17	φ⋇	φ⋇	PROPN
ejpam-5527	133	18	2	2	NUM
ejpam-5527	133	19	=	=	NOUN
ejpam-5527	133	20	φ−φ⋇	φ−φ⋇	PUNCT
ejpam-5527	133	21	and	and	CCONJ
ejpam-5527	133	22	ζ̄+(ϱ̌0)−	ζ̄+(ϱ̌0)−	PROPN
ejpam-5527	133	23	φ	φ	NUM
ejpam-5527	133	24	2	2	NUM
ejpam-5527	133	25	+	+	CCONJ
ejpam-5527	133	26	φ⋇	φ⋇	PROPN
ejpam-5527	133	27	2	2	NUM
ejpam-5527	133	28	<	<	X
ejpam-5527	133	29	−φ	−φ	NOUN
ejpam-5527	133	30	2	2	NUM
ejpam-5527	133	31	+	+	CCONJ
ejpam-5527	133	32	φ⋇	φ⋇	PROPN
ejpam-5527	133	33	2	2	NUM
ejpam-5527	133	34	−	−	PROPN
ejpam-5527	133	35	φ	φ	NUM
ejpam-5527	133	36	2	2	NUM
ejpam-5527	133	37	+	+	CCONJ
ejpam-5527	133	38	φ⋇	φ⋇	PROPN
ejpam-5527	133	39	2	2	NUM
ejpam-5527	133	40	=	=	SYM
ejpam-5527	133	41	−φ+φ⋇	−φ+φ⋇	PROPN
ejpam-5527	133	42	,	,	PUNCT
ejpam-5527	133	43	a	a	DET
ejpam-5527	133	44	contradiction	contradiction	NOUN
ejpam-5527	133	45	.	.	PUNCT
ejpam-5527	134	1	and	and	CCONJ
ejpam-5527	134	2	so	so	ADV
ejpam-5527	134	3	,	,	PUNCT
ejpam-5527	134	4	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	134	5	)	)	PUNCT
ejpam-5527	134	6	≤	≤	NOUN
ejpam-5527	134	7	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	134	8	≬	≬	PROPN
ejpam-5527	134	9	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	134	10	)	)	PUNCT
ejpam-5527	134	11	∨	∨	NUM
ejpam-5527	134	12	ζ̄−(ϱ̌1	ζ̄−(ϱ̌1	NOUN
ejpam-5527	134	13	)	)	PUNCT
ejpam-5527	134	14	∨	∨	NUM
ejpam-5527	134	15	(	(	PUNCT
ejpam-5527	134	16	φ2	φ2	PROPN
ejpam-5527	134	17	−	−	PROPN
ejpam-5527	134	18	φ⋇	φ⋇	PROPN
ejpam-5527	134	19	2	2	NUM
ejpam-5527	134	20	)	)	PUNCT
ejpam-5527	134	21	and	and	CCONJ
ejpam-5527	134	22	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	134	23	)	)	PUNCT
ejpam-5527	134	24	≥	≥	X
ejpam-5527	134	25	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	134	26	≬	≬	PROPN
ejpam-5527	134	27	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	134	28	)	)	PUNCT
ejpam-5527	134	29	∧	∧	PROPN
ejpam-5527	134	30	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	134	31	)	)	PUNCT
ejpam-5527	134	32	∧	∧	NOUN
ejpam-5527	134	33	(	(	PUNCT
ejpam-5527	134	34	−φ	−φ	NOUN
ejpam-5527	134	35	2	2	NUM
ejpam-5527	135	1	+	+	CCONJ
ejpam-5527	135	2	φ⋇	φ⋇	PROPN
ejpam-5527	135	3	2	2	NUM
ejpam-5527	135	4	)	)	PUNCT
ejpam-5527	135	5	for	for	ADP
ejpam-5527	135	6	all	all	DET
ejpam-5527	135	7	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	135	8	,	,	PUNCT
ejpam-5527	135	9	ϱ̌1	ϱ̌1	X
ejpam-5527	135	10	∈	∈	NOUN
ejpam-5527	135	11	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	135	12	on	on	ADP
ejpam-5527	135	13	the	the	DET
ejpam-5527	135	14	contrary	contrary	NOUN
ejpam-5527	135	15	,	,	PUNCT
ejpam-5527	135	16	let	let	VERB
ejpam-5527	135	17	us	we	PRON
ejpam-5527	135	18	assume	assume	VERB
ejpam-5527	135	19	that	that	SCONJ
ejpam-5527	135	20	an	an	DET
ejpam-5527	135	21	(	(	PUNCT
ejpam-5527	135	22	∈,∈	∈,∈	X
ejpam-5527	135	23	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	135	24	,	,	PUNCT
ejpam-5527	135	25	q̌φ))-bfi	q̌φ))-bfi	PROPN
ejpam-5527	135	26	of	of	ADP
ejpam-5527	135	27	ℵ̌	ℵ̌	PROPN
ejpam-5527	135	28	holds	hold	VERB
ejpam-5527	135	29	.	.	PUNCT
ejpam-5527	136	1	let	let	VERB
ejpam-5527	136	2	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	136	3	,	,	PUNCT
ejpam-5527	136	4	ϱ̌1	ϱ̌1	NUM
ejpam-5527	136	5	,	,	PUNCT
ejpam-5527	136	6	ϱ̌2	ϱ̌2	VERB
ejpam-5527	136	7	∈	∈	PROPN
ejpam-5527	136	8	ℵ̌	ℵ̌	X
ejpam-5527	136	9	and	and	CCONJ
ejpam-5527	136	10	ǔ	ǔ	PROPN
ejpam-5527	136	11	,	,	PUNCT
ejpam-5527	136	12	v̌	v̌	SYM
ejpam-5527	136	13	∈	∈	PROPN
ejpam-5527	136	14	(	(	PUNCT
ejpam-5527	136	15	0	0	NUM
ejpam-5527	136	16	,	,	PUNCT
ejpam-5527	136	17	1	1	NUM
ejpam-5527	136	18	]	]	PUNCT
ejpam-5527	136	19	and	and	CCONJ
ejpam-5527	136	20	š	š	PROPN
ejpam-5527	136	21	,	,	PUNCT
ejpam-5527	136	22	ť	ť	NOUN
ejpam-5527	136	23	∈	∈	NOUN
ejpam-5527	136	24	¬ζ̄	¬ζ̄	VERB
ejpam-5527	136	25	such	such	ADJ
ejpam-5527	136	26	that	that	SCONJ
ejpam-5527	136	27	(	(	PUNCT
ejpam-5527	136	28	ϱ̌0	ϱ̌0	NUM
ejpam-5527	136	29	≬	≬	PROPN
ejpam-5527	136	30	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	136	31	,	,	PUNCT
ejpam-5527	136	32	š	š	NOUN
ejpam-5527	136	33	)	)	PUNCT
ejpam-5527	136	34	∈	∈	PROPN
ejpam-5527	136	35	ζ̄−	ζ̄−	NOUN
ejpam-5527	136	36	,	,	PUNCT
ejpam-5527	136	37	(	(	PUNCT
ejpam-5527	136	38	ϱ̌1	ϱ̌1	NUM
ejpam-5527	136	39	,	,	PUNCT
ejpam-5527	136	40	ť	ť	NOUN
ejpam-5527	136	41	)	)	PUNCT
ejpam-5527	136	42	∈	∈	PROPN
ejpam-5527	136	43	ζ̄−	ζ̄−	NOUN
ejpam-5527	136	44	and	and	CCONJ
ejpam-5527	136	45	(	(	PUNCT
ejpam-5527	136	46	ϱ̌0	ϱ̌0	NUM
ejpam-5527	136	47	≬	≬	PROPN
ejpam-5527	136	48	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	136	49	,	,	PUNCT
ejpam-5527	136	50	ǔ	ǔ	PRON
ejpam-5527	136	51	)	)	PUNCT
ejpam-5527	136	52	∈	∈	NOUN
ejpam-5527	136	53	ζ̄+	ζ̄+	PROPN
ejpam-5527	136	54	,	,	PUNCT
ejpam-5527	136	55	(	(	PUNCT
ejpam-5527	136	56	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	136	57	,	,	PUNCT
ejpam-5527	136	58	v̌	v̌	X
ejpam-5527	136	59	)	)	PUNCT
ejpam-5527	136	60	∈	∈	NOUN
ejpam-5527	136	61	ζ̄+	ζ̄+	PUNCT
ejpam-5527	136	62	.	.	PUNCT
ejpam-5527	137	1	then	then	ADV
ejpam-5527	137	2	,	,	PUNCT
ejpam-5527	137	3	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	137	4	≬	≬	PROPN
ejpam-5527	137	5	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	137	6	)	)	PUNCT
ejpam-5527	137	7	≤	≤	NOUN
ejpam-5527	137	8	š	š	PROPN
ejpam-5527	137	9	,	,	PUNCT
ejpam-5527	137	10	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	X
ejpam-5527	137	11	≬	≬	PROPN
ejpam-5527	137	12	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	137	13	)	)	PUNCT
ejpam-5527	137	14	≤	≤	NOUN
ejpam-5527	137	15	ť	ť	NOUN
ejpam-5527	137	16	and	and	CCONJ
ejpam-5527	137	17	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	137	18	≬	≬	PROPN
ejpam-5527	137	19	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	137	20	)	)	PUNCT
ejpam-5527	137	21	≥	≥	NOUN
ejpam-5527	137	22	ǔ	ǔ	NOUN
ejpam-5527	137	23	,	,	PUNCT
ejpam-5527	137	24	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	X
ejpam-5527	137	25	)	)	PUNCT
ejpam-5527	137	26	≤	≤	NOUN
ejpam-5527	137	27	v̌.	v̌.	NOUN
ejpam-5527	137	28	if	if	SCONJ
ejpam-5527	137	29	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	137	30	)	)	PUNCT
ejpam-5527	137	31	>	>	X
ejpam-5527	137	32	š	š	PROPN
ejpam-5527	137	33	∨	∨	NOUN
ejpam-5527	137	34	ť	ť	NOUN
ejpam-5527	137	35	and	and	CCONJ
ejpam-5527	137	36	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	137	37	)	)	PUNCT
ejpam-5527	137	38	<	<	X
ejpam-5527	137	39	ǔ	ǔ	X
ejpam-5527	137	40	∨	∨	NUM
ejpam-5527	137	41	v̌	v̌	NOUN
ejpam-5527	137	42	,	,	PUNCT
ejpam-5527	137	43	then	then	ADV
ejpam-5527	137	44	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	137	45	≬	≬	PROPN
ejpam-5527	137	46	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	137	47	)	)	PUNCT
ejpam-5527	137	48	∨	∨	NUM
ejpam-5527	137	49	ζ̄−(ϱ̌1	ζ̄−(ϱ̌1	NOUN
ejpam-5527	137	50	)	)	PUNCT
ejpam-5527	137	51	≤	≤	NUM
ejpam-5527	137	52	φ	φ	NUM
ejpam-5527	137	53	2	2	NUM
ejpam-5527	137	54	−	−	PROPN
ejpam-5527	137	55	φ⋇	φ⋇	PROPN
ejpam-5527	137	56	2	2	NUM
ejpam-5527	137	57	and	and	CCONJ
ejpam-5527	137	58	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	137	59	≬	≬	PROPN
ejpam-5527	137	60	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	137	61	)	)	PUNCT
ejpam-5527	137	62	∧	∧	PROPN
ejpam-5527	137	63	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	137	64	)	)	PUNCT
ejpam-5527	137	65	≥	≥	NOUN
ejpam-5527	137	66	−φ	−φ	NOUN
ejpam-5527	137	67	2	2	NUM
ejpam-5527	137	68	+	+	CCONJ
ejpam-5527	137	69	φ⋇	φ⋇	PROPN
ejpam-5527	137	70	2	2	NUM
ejpam-5527	137	71	.	.	PUNCT
ejpam-5527	138	1	otherwise	otherwise	ADV
ejpam-5527	138	2	,	,	PUNCT
ejpam-5527	138	3	we	we	PRON
ejpam-5527	138	4	get	get	VERB
ejpam-5527	138	5	k.	k.	PROPN
ejpam-5527	138	6	h.	h.	PROPN
ejpam-5527	138	7	hakami	hakami	PROPN
ejpam-5527	138	8	et	et	PROPN
ejpam-5527	138	9	al	al	PROPN
ejpam-5527	138	10	.	.	PUNCT
ejpam-5527	138	11	/	/	SYM
ejpam-5527	138	12	eur	eur	PROPN
ejpam-5527	138	13	.	.	PUNCT
ejpam-5527	139	1	j.	j.	PROPN
ejpam-5527	139	2	pure	pure	PROPN
ejpam-5527	139	3	appl	appl	PROPN
ejpam-5527	139	4	.	.	PROPN
ejpam-5527	139	5	math	math	PROPN
ejpam-5527	139	6	,	,	PUNCT
ejpam-5527	139	7	17	17	NUM
ejpam-5527	139	8	(	(	PUNCT
ejpam-5527	139	9	4	4	NUM
ejpam-5527	139	10	)	)	PUNCT
ejpam-5527	139	11	(	(	PUNCT
ejpam-5527	139	12	2024	2024	NUM
ejpam-5527	139	13	)	)	PUNCT
ejpam-5527	139	14	,	,	PUNCT
ejpam-5527	139	15	3973	3973	NUM
ejpam-5527	139	16	-	-	SYM
ejpam-5527	139	17	3993	3993	NUM
ejpam-5527	139	18	3978	3978	NUM
ejpam-5527	139	19	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	139	20	)	)	PUNCT
ejpam-5527	139	21	≤	≤	NOUN
ejpam-5527	139	22	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	140	1	≬	≬	PROPN
ejpam-5527	140	2	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	140	3	)	)	PUNCT
ejpam-5527	140	4	∨	∨	NUM
ejpam-5527	140	5	ζ̄−(ϱ̌1	ζ̄−(ϱ̌1	NOUN
ejpam-5527	140	6	)	)	PUNCT
ejpam-5527	140	7	∨	∨	NUM
ejpam-5527	140	8	(	(	PUNCT
ejpam-5527	140	9	φ2	φ2	PROPN
ejpam-5527	140	10	−	−	PROPN
ejpam-5527	140	11	φ⋇	φ⋇	PROPN
ejpam-5527	140	12	2	2	NUM
ejpam-5527	140	13	)	)	PUNCT
ejpam-5527	140	14	≤	≤	NOUN
ejpam-5527	140	15	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	140	16	≬	≬	PROPN
ejpam-5527	140	17	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	140	18	)	)	PUNCT
ejpam-5527	140	19	∨	∨	NUM
ejpam-5527	140	20	ζ̄−(ϱ̌1	ζ̄−(ϱ̌1	NOUN
ejpam-5527	140	21	)	)	PUNCT
ejpam-5527	141	1	≤	≤	NUM
ejpam-5527	141	2	š	š	PROPN
ejpam-5527	141	3	∨	∨	NOUN
ejpam-5527	141	4	ť	ť	NOUN
ejpam-5527	141	5	and	and	CCONJ
ejpam-5527	141	6	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	141	7	)	)	PUNCT
ejpam-5527	141	8	≥	≥	X
ejpam-5527	141	9	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	141	10	≬	≬	PROPN
ejpam-5527	141	11	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	141	12	)	)	PUNCT
ejpam-5527	141	13	∧	∧	PROPN
ejpam-5527	141	14	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	141	15	)	)	PUNCT
ejpam-5527	141	16	∧	∧	NOUN
ejpam-5527	141	17	(	(	PUNCT
ejpam-5527	141	18	−φ	−φ	NOUN
ejpam-5527	141	19	2	2	NUM
ejpam-5527	141	20	+	+	CCONJ
ejpam-5527	141	21	φ⋇	φ⋇	PROPN
ejpam-5527	141	22	2	2	NUM
ejpam-5527	141	23	)	)	PUNCT
ejpam-5527	141	24	≥	≥	X
ejpam-5527	141	25	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	141	26	≬	≬	PROPN
ejpam-5527	141	27	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	141	28	)	)	PUNCT
ejpam-5527	141	29	∧	∧	PROPN
ejpam-5527	141	30	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	141	31	)	)	PUNCT
ejpam-5527	141	32	≥	≥	NOUN
ejpam-5527	142	1	ǔ	ǔ	PROPN
ejpam-5527	142	2	∧	∧	PROPN
ejpam-5527	142	3	v̌	v̌	NOUN
ejpam-5527	142	4	,	,	PUNCT
ejpam-5527	142	5	a	a	DET
ejpam-5527	142	6	contradiction	contradiction	NOUN
ejpam-5527	142	7	.	.	PUNCT
ejpam-5527	143	1	in	in	ADP
ejpam-5527	143	2	that	that	DET
ejpam-5527	143	3	case	case	NOUN
ejpam-5527	143	4	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	143	5	)	)	PUNCT
ejpam-5527	144	1	+	+	CCONJ
ejpam-5527	144	2	š	š	PROPN
ejpam-5527	144	3	∨	∨	NUM
ejpam-5527	144	4	ť	ť	NOUN
ejpam-5527	144	5	<	<	X
ejpam-5527	144	6	2ζ̄−(ϱ̌0	2ζ̄−(ϱ̌0	NUM
ejpam-5527	144	7	)	)	PUNCT
ejpam-5527	144	8	≤	≤	NOUN
ejpam-5527	144	9	2(ζ̄−(ϱ̌0	2(ζ̄−(ϱ̌0	NUM
ejpam-5527	145	1	≬	≬	PROPN
ejpam-5527	145	2	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	145	3	)	)	PUNCT
ejpam-5527	145	4	∨	∨	NUM
ejpam-5527	145	5	ζ̄−(ϱ̌1	ζ̄−(ϱ̌1	NOUN
ejpam-5527	145	6	)	)	PUNCT
ejpam-5527	145	7	∨	∨	NUM
ejpam-5527	145	8	(	(	PUNCT
ejpam-5527	145	9	φ2	φ2	PROPN
ejpam-5527	145	10	−	−	PROPN
ejpam-5527	145	11	φ⋇	φ⋇	PROPN
ejpam-5527	145	12	2	2	NUM
ejpam-5527	145	13	)	)	PUNCT
ejpam-5527	145	14	)	)	PUNCT
ejpam-5527	146	1	=	=	PUNCT
ejpam-5527	146	2	φ−	φ−	PROPN
ejpam-5527	146	3	φ⋇	φ⋇	PROPN
ejpam-5527	146	4	,	,	PUNCT
ejpam-5527	146	5	and	and	CCONJ
ejpam-5527	146	6	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NUM
ejpam-5527	146	7	)	)	PUNCT
ejpam-5527	147	1	+	+	X
ejpam-5527	147	2	v̌	v̌	X
ejpam-5527	147	3	∧	∧	PROPN
ejpam-5527	147	4	ǔ	ǔ	PROPN
ejpam-5527	147	5	>	>	X
ejpam-5527	147	6	2ζ̄+(ϱ̌0	2ζ̄+(ϱ̌0	NUM
ejpam-5527	147	7	)	)	PUNCT
ejpam-5527	147	8	≥	≥	NOUN
ejpam-5527	147	9	2(ζ̄+(ϱ̌0	2(ζ̄+(ϱ̌0	NUM
ejpam-5527	147	10	≬	≬	PROPN
ejpam-5527	147	11	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	147	12	)	)	PUNCT
ejpam-5527	147	13	∧	∧	PROPN
ejpam-5527	147	14	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	147	15	)	)	PUNCT
ejpam-5527	147	16	∧	∧	NOUN
ejpam-5527	147	17	(	(	PUNCT
ejpam-5527	147	18	−φ	−φ	NOUN
ejpam-5527	147	19	2	2	NUM
ejpam-5527	147	20	+	+	CCONJ
ejpam-5527	147	21	φ⋇	φ⋇	PROPN
ejpam-5527	147	22	2	2	NUM
ejpam-5527	147	23	)	)	PUNCT
ejpam-5527	147	24	)	)	PUNCT
ejpam-5527	148	1	=	=	PRON
ejpam-5527	148	2	−φ+	−φ+	VERB
ejpam-5527	148	3	φ⋇.	φ⋇.	NOUN
ejpam-5527	148	4	hence	hence	ADV
ejpam-5527	148	5	,	,	PUNCT
ejpam-5527	148	6	(	(	PUNCT
ejpam-5527	148	7	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	148	8	,	,	PUNCT
ejpam-5527	148	9	š	š	PROPN
ejpam-5527	148	10	∨	∨	NUM
ejpam-5527	148	11	ť	ť	NOUN
ejpam-5527	148	12	)	)	PUNCT
ejpam-5527	148	13	∈	∈	PROPN
ejpam-5527	148	14	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	148	15	,	,	PUNCT
ejpam-5527	148	16	q̌φ)ζ̄−	q̌φ)ζ̄−	PROPN
ejpam-5527	148	17	and	and	CCONJ
ejpam-5527	148	18	(	(	PUNCT
ejpam-5527	148	19	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	148	20	,	,	PUNCT
ejpam-5527	148	21	ǔ	ǔ	PROPN
ejpam-5527	148	22	∧	∧	PROPN
ejpam-5527	148	23	v̌	v̌	NOUN
ejpam-5527	148	24	)	)	PUNCT
ejpam-5527	148	25	∈	∈	PROPN
ejpam-5527	148	26	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	148	27	,	,	PUNCT
ejpam-5527	148	28	q̌φ)ζ̄+	q̌φ)ζ̄+	VERB
ejpam-5527	148	29	.	.	PUNCT
ejpam-5527	149	1	therefore	therefore	ADV
ejpam-5527	149	2	,	,	PUNCT
ejpam-5527	149	3	ζ̄	ζ̄	ADV
ejpam-5527	149	4	is	be	AUX
ejpam-5527	149	5	an	an	DET
ejpam-5527	149	6	(	(	PUNCT
ejpam-5527	149	7	∈,∈	∈,∈	X
ejpam-5527	149	8	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	149	9	,	,	PUNCT
ejpam-5527	149	10	q̌φ))-bfi	q̌φ))-bfi	PROPN
ejpam-5527	149	11	of	of	ADP
ejpam-5527	149	12	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	149	13	lemma	lemma	PROPN
ejpam-5527	149	14	1	1	NUM
ejpam-5527	149	15	.	.	PUNCT
ejpam-5527	150	1	every	every	PRON
ejpam-5527	150	2	(	(	PUNCT
ejpam-5527	150	3	∈,∈	∈,∈	X
ejpam-5527	150	4	∨q̌φ)-bfi	∨q̌φ)-bfi	PROPN
ejpam-5527	150	5	is	be	AUX
ejpam-5527	150	6	an	an	DET
ejpam-5527	150	7	(	(	PUNCT
ejpam-5527	150	8	∈,∈	∈,∈	X
ejpam-5527	150	9	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	150	10	,	,	PUNCT
ejpam-5527	150	11	q̌φ))-bfi	q̌φ))-bfi	PROPN
ejpam-5527	150	12	of	of	ADP
ejpam-5527	150	13	ℵ̌	ℵ̌	PROPN
ejpam-5527	150	14	,	,	PUNCT
ejpam-5527	150	15	but	but	CCONJ
ejpam-5527	150	16	the	the	DET
ejpam-5527	150	17	converse	converse	NOUN
ejpam-5527	150	18	may	may	AUX
ejpam-5527	150	19	not	not	PART
ejpam-5527	150	20	be	be	AUX
ejpam-5527	150	21	true	true	ADJ
ejpam-5527	150	22	in	in	ADP
ejpam-5527	150	23	general	general	ADJ
ejpam-5527	150	24	.	.	PUNCT
ejpam-5527	151	1	proof	proof	NOUN
ejpam-5527	151	2	.	.	PUNCT
ejpam-5527	152	1	straightforward	straightforward	ADJ
ejpam-5527	152	2	.	.	PUNCT
ejpam-5527	153	1	example	example	NOUN
ejpam-5527	154	1	2	2	NUM
ejpam-5527	154	2	.	.	X
ejpam-5527	154	3	take	take	VERB
ejpam-5527	154	4	a	a	DET
ejpam-5527	154	5	bci	bci	NOUN
ejpam-5527	154	6	-	-	NOUN
ejpam-5527	154	7	algebra	algebra	NOUN
ejpam-5527	154	8	ℵ̌	ℵ̌	PROPN
ejpam-5527	154	9	=	=	SYM
ejpam-5527	154	10	{	{	PUNCT
ejpam-5527	154	11	0	0	NUM
ejpam-5527	154	12	,	,	PUNCT
ejpam-5527	154	13	ǔ	ǔ	PRON
ejpam-5527	154	14	,	,	PUNCT
ejpam-5527	154	15	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	154	16	,	,	PUNCT
ejpam-5527	154	17	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	154	18	}	}	PUNCT
ejpam-5527	154	19	with	with	ADP
ejpam-5527	154	20	cayley	cayley	ADJ
ejpam-5527	154	21	table	table	NOUN
ejpam-5527	154	22	:	:	PUNCT
ejpam-5527	155	1	≬	≬	PROPN
ejpam-5527	155	2	0	0	NUM
ejpam-5527	155	3	ǔ	ǔ	SYM
ejpam-5527	155	4	ϱ̌0	ϱ̌0	VERB
ejpam-5527	155	5	ϱ̌1	ϱ̌1	NUM
ejpam-5527	155	6	0	0	NUM
ejpam-5527	155	7	0	0	NUM
ejpam-5527	155	8	ǔ	ǔ	PRON
ejpam-5527	155	9	ϱ̌0	ϱ̌0	VERB
ejpam-5527	155	10	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	155	11	ǔ	ǔ	ADV
ejpam-5527	155	12	ǔ	ǔ	PROPN
ejpam-5527	155	13	0	0	NUM
ejpam-5527	155	14	ϱ̌1	ϱ̌1	NUM
ejpam-5527	155	15	ϱ̌0	ϱ̌0	NUM
ejpam-5527	155	16	ϱ̌0	ϱ̌0	NUM
ejpam-5527	155	17	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	155	18	ϱ̌1	ϱ̌1	NUM
ejpam-5527	155	19	0	0	NUM
ejpam-5527	155	20	ǔ	ǔ	NOUN
ejpam-5527	155	21	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	155	22	ϱ̌1	ϱ̌1	NUM
ejpam-5527	155	23	ϱ̌0	ϱ̌0	NUM
ejpam-5527	155	24	ǔ	ǔ	SYM
ejpam-5527	155	25	0	0	NUM
ejpam-5527	155	26	define	define	VERB
ejpam-5527	155	27	a	a	DET
ejpam-5527	155	28	bfs	bfs	NOUN
ejpam-5527	155	29	ζ̄	ζ̄	ADV
ejpam-5527	155	30	of	of	ADP
ejpam-5527	155	31	ℵ̌	ℵ̌	PROPN
ejpam-5527	155	32	as	as	SCONJ
ejpam-5527	155	33	follows	follow	VERB
ejpam-5527	155	34	:	:	PUNCT
ejpam-5527	155	35	ζ̄(ǔ	ζ̄(ǔ	NUM
ejpam-5527	155	36	)	)	PUNCT
ejpam-5527	155	37	=	=	SYM
ejpam-5527	155	38			X
ejpam-5527	155	39	(	(	PUNCT
ejpam-5527	155	40	−0.67	−0.67	ADJ
ejpam-5527	155	41	,	,	PUNCT
ejpam-5527	155	42	0.67	0.67	NUM
ejpam-5527	155	43	)	)	PUNCT
ejpam-5527	155	44	,	,	PUNCT
ejpam-5527	155	45	ǔ	ǔ	SYM
ejpam-5527	155	46	=	=	SYM
ejpam-5527	155	47	0	0	NUM
ejpam-5527	155	48	;	;	PUNCT
ejpam-5527	155	49	(	(	PUNCT
ejpam-5527	155	50	−0.17	−0.17	INTJ
ejpam-5527	155	51	,	,	PUNCT
ejpam-5527	155	52	0.57	0.57	NUM
ejpam-5527	155	53	)	)	PUNCT
ejpam-5527	155	54	,	,	PUNCT
ejpam-5527	155	55	ǔ	ǔ	SYM
ejpam-5527	155	56	=	=	SYM
ejpam-5527	155	57	ǔ	ǔ	PROPN
ejpam-5527	155	58	;	;	PUNCT
ejpam-5527	155	59	(	(	PUNCT
ejpam-5527	155	60	−0.57	−0.57	ADV
ejpam-5527	155	61	,	,	PUNCT
ejpam-5527	155	62	0.57	0.57	NUM
ejpam-5527	155	63	)	)	PUNCT
ejpam-5527	155	64	,	,	PUNCT
ejpam-5527	155	65	ǔ	ǔ	SYM
ejpam-5527	155	66	=	=	SYM
ejpam-5527	155	67	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	155	68	;	;	PUNCT
ejpam-5527	155	69	(	(	PUNCT
ejpam-5527	155	70	−0.17	−0.17	INTJ
ejpam-5527	155	71	,	,	PUNCT
ejpam-5527	155	72	0.47	0.47	NUM
ejpam-5527	155	73	)	)	PUNCT
ejpam-5527	155	74	,	,	PUNCT
ejpam-5527	155	75	ǔ	ǔ	SYM
ejpam-5527	155	76	=	=	PUNCT
ejpam-5527	155	77	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	155	78	.	.	PUNCT
ejpam-5527	156	1	hence	hence	ADV
ejpam-5527	156	2	,	,	PUNCT
ejpam-5527	156	3	(	(	PUNCT
ejpam-5527	156	4	∈,∈	∈,∈	X
ejpam-5527	156	5	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	156	6	,	,	PUNCT
ejpam-5527	156	7	q̌φ))-bfi	q̌φ))-bfi	PROPN
ejpam-5527	156	8	of	of	ADP
ejpam-5527	156	9	ℵ̌	ℵ̌	PROPN
ejpam-5527	156	10	,	,	PUNCT
ejpam-5527	156	11	but	but	CCONJ
ejpam-5527	156	12	is	be	AUX
ejpam-5527	156	13	not	not	PART
ejpam-5527	156	14	bfi	bfi	PROPN
ejpam-5527	156	15	of	of	ADP
ejpam-5527	156	16	ℵ̌	ℵ̌	PROPN
ejpam-5527	156	17	because	because	SCONJ
ejpam-5527	156	18	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	156	19	)	)	PUNCT
ejpam-5527	156	20	=	=	SYM
ejpam-5527	156	21	0.47	0.47	NUM
ejpam-5527	156	22	⩾̸	⩾̸	NOUN
ejpam-5527	156	23	0.57	0.57	NUM
ejpam-5527	156	24	=	=	SYM
ejpam-5527	156	25	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	X
ejpam-5527	156	26	≬	≬	PROPN
ejpam-5527	156	27	ǔ	ǔ	SYM
ejpam-5527	156	28	)	)	PUNCT
ejpam-5527	156	29	∧	∧	PROPN
ejpam-5527	156	30	ζ̄+(ǔ	ζ̄+(ǔ	NOUN
ejpam-5527	156	31	)	)	PUNCT
ejpam-5527	156	32	.	.	PUNCT
ejpam-5527	157	1	4	4	X
ejpam-5527	157	2	.	.	X
ejpam-5527	157	3	(	(	PUNCT
ejpam-5527	157	4	∈,∈	∈,∈	X
ejpam-5527	157	5	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	157	6	,	,	PUNCT
ejpam-5527	157	7	q̌φ))-bipolar	q̌φ))-bipolar	PROPN
ejpam-5527	157	8	fuzzy	fuzzy	ADJ
ejpam-5527	157	9	fantastic	fantastic	ADJ
ejpam-5527	157	10	ideals	ideal	NOUN
ejpam-5527	157	11	this	this	DET
ejpam-5527	157	12	section	section	NOUN
ejpam-5527	157	13	investigates	investigate	VERB
ejpam-5527	157	14	(	(	PUNCT
ejpam-5527	157	15	∈,∈	∈,∈	X
ejpam-5527	157	16	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	157	17	,	,	PUNCT
ejpam-5527	157	18	q̌φ))-bipolar	q̌φ))-bipolar	ADJ
ejpam-5527	157	19	fuzzy	fuzzy	ADJ
ejpam-5527	157	20	fantastic	fantastic	ADJ
ejpam-5527	157	21	ideals	ideal	NOUN
ejpam-5527	157	22	of	of	ADP
ejpam-5527	157	23	bck	bck	PROPN
ejpam-5527	157	24	/	/	SYM
ejpam-5527	157	25	bcialgebras	bcialgebras	PROPN
ejpam-5527	157	26	.	.	PUNCT
ejpam-5527	158	1	k.	k.	PROPN
ejpam-5527	158	2	h.	h.	PROPN
ejpam-5527	158	3	hakami	hakami	PROPN
ejpam-5527	158	4	et	et	PROPN
ejpam-5527	158	5	al	al	PROPN
ejpam-5527	158	6	.	.	PUNCT
ejpam-5527	158	7	/	/	SYM
ejpam-5527	158	8	eur	eur	PROPN
ejpam-5527	158	9	.	.	PUNCT
ejpam-5527	159	1	j.	j.	PROPN
ejpam-5527	159	2	pure	pure	PROPN
ejpam-5527	159	3	appl	appl	PROPN
ejpam-5527	159	4	.	.	PROPN
ejpam-5527	159	5	math	math	PROPN
ejpam-5527	159	6	,	,	PUNCT
ejpam-5527	159	7	17	17	NUM
ejpam-5527	159	8	(	(	PUNCT
ejpam-5527	159	9	4	4	NUM
ejpam-5527	159	10	)	)	PUNCT
ejpam-5527	159	11	(	(	PUNCT
ejpam-5527	159	12	2024	2024	NUM
ejpam-5527	159	13	)	)	PUNCT
ejpam-5527	159	14	,	,	PUNCT
ejpam-5527	159	15	3973	3973	NUM
ejpam-5527	159	16	-	-	SYM
ejpam-5527	159	17	3993	3993	NUM
ejpam-5527	159	18	3979	3979	NUM
ejpam-5527	159	19	definition	definition	NOUN
ejpam-5527	159	20	7	7	NUM
ejpam-5527	159	21	.	.	PUNCT
ejpam-5527	159	22	a	a	DET
ejpam-5527	159	23	bfs	bfs	NOUN
ejpam-5527	159	24	ζ̄	ζ̄	ADV
ejpam-5527	159	25	is	be	AUX
ejpam-5527	159	26	a	a	DET
ejpam-5527	159	27	bffi	bffi	NOUN
ejpam-5527	159	28	of	of	ADP
ejpam-5527	159	29	ℵ̌	ℵ̌	PROPN
ejpam-5527	159	30	if	if	SCONJ
ejpam-5527	159	31	it	it	PRON
ejpam-5527	159	32	fulfills	fulfill	VERB
ejpam-5527	159	33	the	the	DET
ejpam-5527	159	34	definition	definition	NOUN
ejpam-5527	159	35	5(i	5(i	NOUN
ejpam-5527	159	36	)	)	PUNCT
ejpam-5527	159	37	and	and	CCONJ
ejpam-5527	159	38	the	the	DET
ejpam-5527	159	39	resulting	result	VERB
ejpam-5527	159	40	assertions	assertion	NOUN
ejpam-5527	159	41	:	:	PUNCT
ejpam-5527	159	42	(	(	PUNCT
ejpam-5527	159	43	i	i	NOUN
ejpam-5527	159	44	)	)	PUNCT
ejpam-5527	159	45	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	159	46	≬	≬	PROPN
ejpam-5527	159	47	(	(	PUNCT
ejpam-5527	159	48	ϱ̌1	ϱ̌1	NUM
ejpam-5527	159	49	≬	≬	PROPN
ejpam-5527	159	50	(	(	PUNCT
ejpam-5527	159	51	ϱ̌1	ϱ̌1	X
ejpam-5527	159	52	≬	≬	PROPN
ejpam-5527	159	53	ϱ̌0	ϱ̌0	NUM
ejpam-5527	159	54	)	)	PUNCT
ejpam-5527	159	55	)	)	PUNCT
ejpam-5527	159	56	)	)	PUNCT
ejpam-5527	159	57	≤	≤	NOUN
ejpam-5527	159	58	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	159	59	≬	≬	PROPN
ejpam-5527	159	60	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	159	61	)	)	PUNCT
ejpam-5527	159	62	≬	≬	PROPN
ejpam-5527	159	63	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	159	64	)	)	PUNCT
ejpam-5527	159	65	)	)	PUNCT
ejpam-5527	159	66	∨	∨	NUM
ejpam-5527	159	67	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	159	68	)	)	PUNCT
ejpam-5527	159	69	,	,	PUNCT
ejpam-5527	159	70	(	(	PUNCT
ejpam-5527	159	71	ii	ii	NOUN
ejpam-5527	159	72	)	)	PUNCT
ejpam-5527	159	73	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	159	74	≬	≬	PROPN
ejpam-5527	159	75	(	(	PUNCT
ejpam-5527	159	76	ϱ̌1	ϱ̌1	NUM
ejpam-5527	159	77	≬	≬	PROPN
ejpam-5527	159	78	(	(	PUNCT
ejpam-5527	159	79	ϱ̌1	ϱ̌1	X
ejpam-5527	159	80	≬	≬	PROPN
ejpam-5527	159	81	ϱ̌0	ϱ̌0	NUM
ejpam-5527	159	82	)	)	PUNCT
ejpam-5527	159	83	)	)	PUNCT
ejpam-5527	159	84	)	)	PUNCT
ejpam-5527	159	85	≥	≥	X
ejpam-5527	160	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	160	2	≬	≬	PROPN
ejpam-5527	160	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	160	4	)	)	PUNCT
ejpam-5527	160	5	≬	≬	PROPN
ejpam-5527	160	6	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	160	7	)	)	PUNCT
ejpam-5527	160	8	)	)	PUNCT
ejpam-5527	160	9	∧	∧	PROPN
ejpam-5527	160	10	ζ̄+(ϱ̌2),∀ϱ̌0	ζ̄+(ϱ̌2),∀ϱ̌0	PROPN
ejpam-5527	160	11	,	,	PUNCT
ejpam-5527	160	12	ϱ̌1	ϱ̌1	NUM
ejpam-5527	160	13	,	,	PUNCT
ejpam-5527	160	14	ϱ̌2	ϱ̌2	VERB
ejpam-5527	160	15	∈	∈	NOUN
ejpam-5527	160	16	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	160	17	definition	definition	NOUN
ejpam-5527	160	18	8	8	NUM
ejpam-5527	160	19	.	.	PUNCT
ejpam-5527	161	1	a	a	DET
ejpam-5527	161	2	bfs	bfs	NOUN
ejpam-5527	161	3	ζ̄	ζ̄	ADV
ejpam-5527	161	4	is	be	AUX
ejpam-5527	161	5	an	an	DET
ejpam-5527	161	6	(	(	PUNCT
ejpam-5527	161	7	∈,∈	∈,∈	X
ejpam-5527	161	8	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	161	9	,	,	PUNCT
ejpam-5527	161	10	q̌φ))-bffi	q̌φ))-bffi	PROPN
ejpam-5527	161	11	of	of	ADP
ejpam-5527	161	12	ℵ̌	ℵ̌	PROPN
ejpam-5527	161	13	if	if	SCONJ
ejpam-5527	161	14	it	it	PRON
ejpam-5527	161	15	fulfills	fulfill	VERB
ejpam-5527	161	16	the	the	DET
ejpam-5527	161	17	ensuing	ensue	VERB
ejpam-5527	161	18	assertions	assertion	NOUN
ejpam-5527	161	19	:	:	PUNCT
ejpam-5527	161	20	(	(	PUNCT
ejpam-5527	161	21	i	i	NOUN
ejpam-5527	161	22	)	)	PUNCT
ejpam-5527	161	23	(	(	PUNCT
ejpam-5527	161	24	(	(	PUNCT
ejpam-5527	161	25	ϱ̌0	ϱ̌0	NUM
ejpam-5527	161	26	≬	≬	PROPN
ejpam-5527	161	27	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	161	28	)	)	PUNCT
ejpam-5527	161	29	≬	≬	PROPN
ejpam-5527	161	30	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	161	31	)	)	PUNCT
ejpam-5527	161	32	,	,	PUNCT
ejpam-5527	161	33	š	š	X
ejpam-5527	161	34	)	)	PUNCT
ejpam-5527	161	35	∈	∈	PROPN
ejpam-5527	161	36	ζ̄−	ζ̄−	NOUN
ejpam-5527	161	37	,	,	PUNCT
ejpam-5527	161	38	(	(	PUNCT
ejpam-5527	161	39	ϱ̌2	ϱ̌2	X
ejpam-5527	161	40	,	,	PUNCT
ejpam-5527	161	41	ť	ť	NOUN
ejpam-5527	161	42	)	)	PUNCT
ejpam-5527	161	43	∈	∈	PROPN
ejpam-5527	161	44	ζ̄−	ζ̄−	NOUN
ejpam-5527	161	45	⇒	⇒	NOUN
ejpam-5527	161	46	(	(	PUNCT
ejpam-5527	161	47	ϱ̌0	ϱ̌0	NUM
ejpam-5527	161	48	≬	≬	PROPN
ejpam-5527	161	49	(	(	PUNCT
ejpam-5527	161	50	ϱ̌1	ϱ̌1	NUM
ejpam-5527	161	51	≬	≬	PROPN
ejpam-5527	161	52	(	(	PUNCT
ejpam-5527	161	53	ϱ̌1	ϱ̌1	X
ejpam-5527	161	54	≬	≬	PROPN
ejpam-5527	161	55	ϱ̌0	ϱ̌0	NUM
ejpam-5527	161	56	)	)	PUNCT
ejpam-5527	161	57	)	)	PUNCT
ejpam-5527	161	58	,	,	PUNCT
ejpam-5527	161	59	š	š	PROPN
ejpam-5527	161	60	∨	∨	NUM
ejpam-5527	161	61	ť	ť	NOUN
ejpam-5527	161	62	)	)	PUNCT
ejpam-5527	161	63	∈	∈	PROPN
ejpam-5527	161	64	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	161	65	,	,	PUNCT
ejpam-5527	161	66	q̌φ)ζ̄−	q̌φ)ζ̄−	PROPN
ejpam-5527	161	67	,	,	PUNCT
ejpam-5527	161	68	(	(	PUNCT
ejpam-5527	161	69	ii	ii	NOUN
ejpam-5527	161	70	)	)	PUNCT
ejpam-5527	161	71	(	(	PUNCT
ejpam-5527	161	72	(	(	PUNCT
ejpam-5527	161	73	ϱ̌0	ϱ̌0	NUM
ejpam-5527	161	74	≬	≬	PROPN
ejpam-5527	161	75	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	161	76	)	)	PUNCT
ejpam-5527	161	77	≬	≬	PROPN
ejpam-5527	161	78	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	161	79	)	)	PUNCT
ejpam-5527	161	80	,	,	PUNCT
ejpam-5527	161	81	ǔ	ǔ	SYM
ejpam-5527	161	82	)	)	PUNCT
ejpam-5527	161	83	∈	∈	PROPN
ejpam-5527	161	84	ζ̄−	ζ̄−	NOUN
ejpam-5527	161	85	,	,	PUNCT
ejpam-5527	161	86	(	(	PUNCT
ejpam-5527	161	87	ϱ̌2	ϱ̌2	X
ejpam-5527	161	88	,	,	PUNCT
ejpam-5527	161	89	v̌	v̌	X
ejpam-5527	161	90	)	)	PUNCT
ejpam-5527	161	91	∈	∈	PROPN
ejpam-5527	161	92	ζ̄−	ζ̄−	NOUN
ejpam-5527	161	93	⇒	⇒	NOUN
ejpam-5527	161	94	(	(	PUNCT
ejpam-5527	161	95	ϱ̌0	ϱ̌0	NUM
ejpam-5527	161	96	≬	≬	PROPN
ejpam-5527	161	97	(	(	PUNCT
ejpam-5527	161	98	ϱ̌1	ϱ̌1	NUM
ejpam-5527	161	99	≬	≬	PROPN
ejpam-5527	161	100	(	(	PUNCT
ejpam-5527	161	101	ϱ̌1	ϱ̌1	X
ejpam-5527	161	102	≬	≬	PROPN
ejpam-5527	161	103	ϱ̌0	ϱ̌0	NUM
ejpam-5527	161	104	)	)	PUNCT
ejpam-5527	161	105	)	)	PUNCT
ejpam-5527	161	106	,	,	PUNCT
ejpam-5527	162	1	ǔ	ǔ	PROPN
ejpam-5527	162	2	∧	∧	NOUN
ejpam-5527	162	3	v̌	v̌	NOUN
ejpam-5527	162	4	)	)	PUNCT
ejpam-5527	162	5	∈	∈	PROPN
ejpam-5527	162	6	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	162	7	,	,	PUNCT
ejpam-5527	162	8	q̌φ)ζ̄+	q̌φ)ζ̄+	VERB
ejpam-5527	162	9	,	,	PUNCT
ejpam-5527	162	10	∀ϱ̌0	∀ϱ̌0	PROPN
ejpam-5527	162	11	,	,	PUNCT
ejpam-5527	162	12	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	162	13	,	,	PUNCT
ejpam-5527	162	14	ϱ̌2	ϱ̌2	VERB
ejpam-5527	162	15	∈	∈	PROPN
ejpam-5527	162	16	ℵ̌	ℵ̌	NOUN
ejpam-5527	162	17	,	,	PUNCT
ejpam-5527	162	18	š	š	PROPN
ejpam-5527	162	19	,	,	PUNCT
ejpam-5527	162	20	ť	ť	NOUN
ejpam-5527	162	21	∈	∈	PROPN
ejpam-5527	163	1	[	[	X
ejpam-5527	163	2	−1	−1	NOUN
ejpam-5527	163	3	,	,	PUNCT
ejpam-5527	163	4	0	0	NUM
ejpam-5527	163	5	)	)	PUNCT
ejpam-5527	163	6	and	and	CCONJ
ejpam-5527	163	7	ǔ	ǔ	PROPN
ejpam-5527	163	8	,	,	PUNCT
ejpam-5527	163	9	v̌	v̌	SYM
ejpam-5527	163	10	∈	∈	PROPN
ejpam-5527	163	11	(	(	PUNCT
ejpam-5527	163	12	0	0	NUM
ejpam-5527	163	13	,	,	PUNCT
ejpam-5527	163	14	1	1	NUM
ejpam-5527	163	15	]	]	PUNCT
ejpam-5527	163	16	.	.	PUNCT
ejpam-5527	164	1	example	example	NOUN
ejpam-5527	164	2	3	3	X
ejpam-5527	164	3	.	.	X
ejpam-5527	165	1	consider	consider	VERB
ejpam-5527	165	2	ℵ̌	ℵ̌	PROPN
ejpam-5527	165	3	=	=	SYM
ejpam-5527	165	4	{	{	PUNCT
ejpam-5527	165	5	0	0	NUM
ejpam-5527	165	6	,	,	PUNCT
ejpam-5527	165	7	ǔ	ǔ	PRON
ejpam-5527	165	8	,	,	PUNCT
ejpam-5527	165	9	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	165	10	,	,	PUNCT
ejpam-5527	165	11	ϱ̌1	ϱ̌1	NUM
ejpam-5527	165	12	,	,	PUNCT
ejpam-5527	165	13	ϱ̌2	ϱ̌2	PRON
ejpam-5527	165	14	}	}	PUNCT
ejpam-5527	165	15	be	be	AUX
ejpam-5527	165	16	a	a	DET
ejpam-5527	165	17	bck	bck	NOUN
ejpam-5527	165	18	-	-	PUNCT
ejpam-5527	165	19	algebra	algebra	NOUN
ejpam-5527	165	20	in	in	ADP
ejpam-5527	165	21	example	example	NOUN
ejpam-5527	165	22	1	1	NUM
ejpam-5527	165	23	,	,	PUNCT
ejpam-5527	165	24	and	and	CCONJ
ejpam-5527	165	25	now	now	ADV
ejpam-5527	165	26	we	we	PRON
ejpam-5527	165	27	define	define	VERB
ejpam-5527	165	28	a	a	DET
ejpam-5527	165	29	bfs	bfs	NOUN
ejpam-5527	165	30	ζ̄	ζ̄	ADV
ejpam-5527	165	31	of	of	ADP
ejpam-5527	165	32	ℵ̌	ℵ̌	PROPN
ejpam-5527	165	33	as	as	ADP
ejpam-5527	165	34	ζ̄(ǔ	ζ̄(ǔ	NOUN
ejpam-5527	165	35	)	)	PUNCT
ejpam-5527	165	36	=	=	SYM
ejpam-5527	166	1			INTJ
ejpam-5527	166	2	(	(	PUNCT
ejpam-5527	166	3	−0.76	−0.76	PROPN
ejpam-5527	166	4	,	,	PUNCT
ejpam-5527	166	5	0.53	0.53	NUM
ejpam-5527	166	6	)	)	PUNCT
ejpam-5527	166	7	,	,	PUNCT
ejpam-5527	166	8	ǔ	ǔ	SYM
ejpam-5527	166	9	=	=	SYM
ejpam-5527	166	10	0	0	NUM
ejpam-5527	166	11	;	;	PUNCT
ejpam-5527	166	12	(	(	PUNCT
ejpam-5527	166	13	−0.46	−0.46	INTJ
ejpam-5527	166	14	,	,	PUNCT
ejpam-5527	166	15	0.23	0.23	NUM
ejpam-5527	166	16	)	)	PUNCT
ejpam-5527	166	17	,	,	PUNCT
ejpam-5527	166	18	ǔ	ǔ	SYM
ejpam-5527	166	19	=	=	SYM
ejpam-5527	166	20	ǔ	ǔ	PROPN
ejpam-5527	166	21	;	;	PUNCT
ejpam-5527	166	22	(	(	PUNCT
ejpam-5527	166	23	−0.26	−0.26	ADJ
ejpam-5527	166	24	,	,	PUNCT
ejpam-5527	166	25	0.32	0.32	NUM
ejpam-5527	166	26	)	)	PUNCT
ejpam-5527	166	27	,	,	PUNCT
ejpam-5527	166	28	ǔ	ǔ	SYM
ejpam-5527	166	29	=	=	SYM
ejpam-5527	166	30	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	166	31	;	;	PUNCT
ejpam-5527	166	32	(	(	PUNCT
ejpam-5527	166	33	−0.56	−0.56	X
ejpam-5527	166	34	,	,	PUNCT
ejpam-5527	166	35	0.13	0.13	NUM
ejpam-5527	166	36	)	)	PUNCT
ejpam-5527	166	37	,	,	PUNCT
ejpam-5527	166	38	ǔ	ǔ	SYM
ejpam-5527	166	39	=	=	SYM
ejpam-5527	166	40	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	166	41	;	;	PUNCT
ejpam-5527	166	42	(	(	PUNCT
ejpam-5527	166	43	−0.16	−0.16	NOUN
ejpam-5527	166	44	,	,	PUNCT
ejpam-5527	166	45	0.03	0.03	NUM
ejpam-5527	166	46	)	)	PUNCT
ejpam-5527	166	47	,	,	PUNCT
ejpam-5527	166	48	ǔ	ǔ	X
ejpam-5527	166	49	=	=	SYM
ejpam-5527	166	50	ϱ̌2	ϱ̌2	X
ejpam-5527	166	51	.	.	PUNCT
ejpam-5527	167	1	it	it	PRON
ejpam-5527	167	2	is	be	AUX
ejpam-5527	167	3	easy	easy	ADJ
ejpam-5527	167	4	to	to	PART
ejpam-5527	167	5	show	show	VERB
ejpam-5527	167	6	that	that	SCONJ
ejpam-5527	167	7	ζ̄	ζ̄	ADV
ejpam-5527	167	8	is	be	AUX
ejpam-5527	167	9	an	an	DET
ejpam-5527	167	10	(	(	PUNCT
ejpam-5527	167	11	∈,∈	∈,∈	X
ejpam-5527	167	12	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	167	13	,	,	PUNCT
ejpam-5527	167	14	q̌φ))-bffi	q̌φ))-bffi	PROPN
ejpam-5527	167	15	of	of	ADP
ejpam-5527	167	16	ℵ̌	ℵ̌	PROPN
ejpam-5527	167	17	and	and	CCONJ
ejpam-5527	167	18	bffi	bffi	PROPN
ejpam-5527	167	19	of	of	ADP
ejpam-5527	167	20	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	167	21	theorem	theorem	NOUN
ejpam-5527	167	22	2	2	NUM
ejpam-5527	167	23	.	.	PUNCT
ejpam-5527	167	24	a	a	DET
ejpam-5527	167	25	bfs	bfs	NOUN
ejpam-5527	167	26	ζ̄	ζ̄	ADV
ejpam-5527	167	27	is	be	AUX
ejpam-5527	167	28	a	a	DET
ejpam-5527	167	29	bffi	bffi	NOUN
ejpam-5527	167	30	of	of	ADP
ejpam-5527	167	31	ℵ̌	ℵ̌	PROPN
ejpam-5527	167	32	⇔	⇔	PROPN
ejpam-5527	168	1	the	the	DET
ejpam-5527	168	2	succeeding	succeed	VERB
ejpam-5527	168	3	assertions	assertion	NOUN
ejpam-5527	168	4	are	be	AUX
ejpam-5527	168	5	holds	hold	NOUN
ejpam-5527	168	6	:	:	PUNCT
ejpam-5527	168	7	(	(	PUNCT
ejpam-5527	168	8	i	i	NOUN
ejpam-5527	168	9	)	)	PUNCT
ejpam-5527	168	10	(	(	PUNCT
ejpam-5527	168	11	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	168	12	,	,	PUNCT
ejpam-5527	168	13	š	š	NOUN
ejpam-5527	168	14	)	)	PUNCT
ejpam-5527	168	15	∈	∈	PROPN
ejpam-5527	168	16	ζ̄−	ζ̄−	NOUN
ejpam-5527	168	17	⇒	⇒	NOUN
ejpam-5527	168	18	(	(	PUNCT
ejpam-5527	168	19	0	0	NUM
ejpam-5527	168	20	,	,	PUNCT
ejpam-5527	168	21	š	š	NOUN
ejpam-5527	168	22	)	)	PUNCT
ejpam-5527	168	23	∈	∈	PROPN
ejpam-5527	168	24	ζ̄−	ζ̄−	NOUN
ejpam-5527	168	25	and	and	CCONJ
ejpam-5527	168	26	(	(	PUNCT
ejpam-5527	168	27	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	168	28	,	,	PUNCT
ejpam-5527	168	29	ǔ	ǔ	PRON
ejpam-5527	168	30	)	)	PUNCT
ejpam-5527	168	31	∈	∈	PROPN
ejpam-5527	168	32	ζ̄+	ζ̄+	PUNCT
ejpam-5527	168	33	⇒	⇒	NOUN
ejpam-5527	168	34	(	(	PUNCT
ejpam-5527	168	35	0	0	NUM
ejpam-5527	168	36	,	,	PUNCT
ejpam-5527	168	37	ǔ	ǔ	PRON
ejpam-5527	168	38	)	)	PUNCT
ejpam-5527	168	39	∈	∈	NOUN
ejpam-5527	168	40	ζ̄+	ζ̄+	PROPN
ejpam-5527	168	41	,	,	PUNCT
ejpam-5527	168	42	(	(	PUNCT
ejpam-5527	168	43	ii	ii	NOUN
ejpam-5527	168	44	)	)	PUNCT
ejpam-5527	168	45	(	(	PUNCT
ejpam-5527	168	46	(	(	PUNCT
ejpam-5527	168	47	ϱ̌0	ϱ̌0	NUM
ejpam-5527	168	48	≬	≬	PROPN
ejpam-5527	168	49	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	168	50	)	)	PUNCT
ejpam-5527	168	51	≬	≬	PROPN
ejpam-5527	168	52	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	168	53	)	)	PUNCT
ejpam-5527	168	54	,	,	PUNCT
ejpam-5527	168	55	š	š	X
ejpam-5527	168	56	)	)	PUNCT
ejpam-5527	168	57	∈	∈	PROPN
ejpam-5527	168	58	ζ̄−	ζ̄−	NOUN
ejpam-5527	168	59	,	,	PUNCT
ejpam-5527	168	60	(	(	PUNCT
ejpam-5527	168	61	ϱ̌2	ϱ̌2	X
ejpam-5527	168	62	,	,	PUNCT
ejpam-5527	168	63	ť	ť	NOUN
ejpam-5527	168	64	)	)	PUNCT
ejpam-5527	168	65	∈	∈	PROPN
ejpam-5527	168	66	ζ̄−	ζ̄−	NOUN
ejpam-5527	168	67	⇒	⇒	NOUN
ejpam-5527	168	68	(	(	PUNCT
ejpam-5527	168	69	ϱ̌0	ϱ̌0	NUM
ejpam-5527	168	70	≬	≬	PROPN
ejpam-5527	168	71	(	(	PUNCT
ejpam-5527	168	72	ϱ̌1	ϱ̌1	NUM
ejpam-5527	168	73	≬	≬	PROPN
ejpam-5527	168	74	(	(	PUNCT
ejpam-5527	168	75	ϱ̌1	ϱ̌1	X
ejpam-5527	168	76	≬	≬	PROPN
ejpam-5527	168	77	ϱ̌0	ϱ̌0	NUM
ejpam-5527	168	78	)	)	PUNCT
ejpam-5527	168	79	)	)	PUNCT
ejpam-5527	168	80	,	,	PUNCT
ejpam-5527	168	81	š	š	PROPN
ejpam-5527	168	82	∨	∨	NUM
ejpam-5527	168	83	ť	ť	NOUN
ejpam-5527	168	84	)	)	PUNCT
ejpam-5527	168	85	∈	∈	PROPN
ejpam-5527	168	86	ζ̄−	ζ̄−	NOUN
ejpam-5527	168	87	,	,	PUNCT
ejpam-5527	168	88	(	(	PUNCT
ejpam-5527	168	89	iii	iii	NOUN
ejpam-5527	168	90	)	)	PUNCT
ejpam-5527	168	91	(	(	PUNCT
ejpam-5527	168	92	(	(	PUNCT
ejpam-5527	168	93	ϱ̌0	ϱ̌0	NUM
ejpam-5527	168	94	≬	≬	PROPN
ejpam-5527	168	95	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	168	96	)	)	PUNCT
ejpam-5527	168	97	≬	≬	PROPN
ejpam-5527	168	98	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	168	99	)	)	PUNCT
ejpam-5527	168	100	,	,	PUNCT
ejpam-5527	168	101	ǔ	ǔ	SYM
ejpam-5527	168	102	)	)	PUNCT
ejpam-5527	168	103	∈	∈	PROPN
ejpam-5527	168	104	ζ̄+	ζ̄+	PROPN
ejpam-5527	168	105	,	,	PUNCT
ejpam-5527	168	106	(	(	PUNCT
ejpam-5527	168	107	ϱ̌2	ϱ̌2	X
ejpam-5527	168	108	,	,	PUNCT
ejpam-5527	168	109	v̌	v̌	X
ejpam-5527	168	110	)	)	PUNCT
ejpam-5527	168	111	∈	∈	PROPN
ejpam-5527	168	112	ζ̄+	ζ̄+	PUNCT
ejpam-5527	168	113	⇒	⇒	NOUN
ejpam-5527	168	114	(	(	PUNCT
ejpam-5527	168	115	ϱ̌0	ϱ̌0	NUM
ejpam-5527	168	116	≬	≬	PROPN
ejpam-5527	168	117	(	(	PUNCT
ejpam-5527	168	118	ϱ̌1	ϱ̌1	NUM
ejpam-5527	168	119	≬	≬	PROPN
ejpam-5527	168	120	(	(	PUNCT
ejpam-5527	168	121	ϱ̌1	ϱ̌1	X
ejpam-5527	168	122	≬	≬	PROPN
ejpam-5527	168	123	ϱ̌0	ϱ̌0	NUM
ejpam-5527	168	124	)	)	PUNCT
ejpam-5527	168	125	)	)	PUNCT
ejpam-5527	168	126	,	,	PUNCT
ejpam-5527	168	127	ǔ	ǔ	PROPN
ejpam-5527	168	128	∧	∧	NOUN
ejpam-5527	168	129	v̌	v̌	NOUN
ejpam-5527	168	130	)	)	PUNCT
ejpam-5527	168	131	∈	∈	NOUN
ejpam-5527	168	132	ζ̄+	ζ̄+	PUNCT
ejpam-5527	168	133	,	,	PUNCT
ejpam-5527	168	134	for	for	ADP
ejpam-5527	168	135	all	all	DET
ejpam-5527	168	136	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	168	137	,	,	PUNCT
ejpam-5527	168	138	š	š	NOUN
ejpam-5527	168	139	,	,	PUNCT
ejpam-5527	168	140	ť	ť	NOUN
ejpam-5527	168	141	∈	∈	PROPN
ejpam-5527	169	1	[	[	X
ejpam-5527	169	2	−1	−1	NOUN
ejpam-5527	169	3	,	,	PUNCT
ejpam-5527	169	4	0)ϱ̌1	0)ϱ̌1	PRON
ejpam-5527	169	5	,	,	PUNCT
ejpam-5527	169	6	ϱ̌2	ϱ̌2	VERB
ejpam-5527	169	7	∈	∈	PROPN
ejpam-5527	169	8	ℵ̌	ℵ̌	X
ejpam-5527	169	9	and	and	CCONJ
ejpam-5527	169	10	ǔ	ǔ	PROPN
ejpam-5527	169	11	,	,	PUNCT
ejpam-5527	169	12	v̌	v̌	SYM
ejpam-5527	169	13	∈	∈	PROPN
ejpam-5527	169	14	(	(	PUNCT
ejpam-5527	169	15	0	0	NUM
ejpam-5527	169	16	,	,	PUNCT
ejpam-5527	169	17	1	1	NUM
ejpam-5527	169	18	]	]	PUNCT
ejpam-5527	169	19	.	.	PUNCT
ejpam-5527	170	1	proof	proof	NOUN
ejpam-5527	170	2	.	.	PUNCT
ejpam-5527	171	1	suppose	suppose	VERB
ejpam-5527	171	2	that	that	SCONJ
ejpam-5527	171	3	definition	definition	NOUN
ejpam-5527	171	4	5	5	NUM
ejpam-5527	171	5	(	(	PUNCT
ejpam-5527	171	6	i	i	NOUN
ejpam-5527	171	7	)	)	PUNCT
ejpam-5527	171	8	is	be	AUX
ejpam-5527	171	9	hold	hold	VERB
ejpam-5527	171	10	and	and	CCONJ
ejpam-5527	171	11	ϱ̌0	ϱ̌0	VERB
ejpam-5527	171	12	∈	∈	PROPN
ejpam-5527	171	13	ℵ̌	ℵ̌	PROPN
ejpam-5527	171	14	,	,	PUNCT
ejpam-5527	171	15	ǔ	ǔ	SYM
ejpam-5527	171	16	∈	∈	PROPN
ejpam-5527	171	17	(	(	PUNCT
ejpam-5527	171	18	0	0	NUM
ejpam-5527	171	19	,	,	PUNCT
ejpam-5527	171	20	1	1	NUM
ejpam-5527	171	21	]	]	PUNCT
ejpam-5527	171	22	,	,	PUNCT
ejpam-5527	171	23	š	š	PROPN
ejpam-5527	171	24	∈	∈	PROPN
ejpam-5527	172	1	[	[	X
ejpam-5527	172	2	−1	−1	NOUN
ejpam-5527	172	3	,	,	PUNCT
ejpam-5527	172	4	0	0	NUM
ejpam-5527	172	5	)	)	PUNCT
ejpam-5527	172	6	such	such	ADJ
ejpam-5527	172	7	that	that	SCONJ
ejpam-5527	172	8	(	(	PUNCT
ejpam-5527	172	9	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	172	10	,	,	PUNCT
ejpam-5527	172	11	š	š	NOUN
ejpam-5527	172	12	)	)	PUNCT
ejpam-5527	172	13	∈	∈	PROPN
ejpam-5527	172	14	ζ̄−	ζ̄−	NOUN
ejpam-5527	172	15	and	and	CCONJ
ejpam-5527	172	16	(	(	PUNCT
ejpam-5527	172	17	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	172	18	,	,	PUNCT
ejpam-5527	172	19	ǔ	ǔ	PRON
ejpam-5527	172	20	)	)	PUNCT
ejpam-5527	172	21	∈	∈	NOUN
ejpam-5527	172	22	ζ̄+	ζ̄+	PUNCT
ejpam-5527	172	23	.	.	PUNCT
ejpam-5527	172	24	then	then	ADV
ejpam-5527	172	25	ζ̄−(0	ζ̄−(0	VERB
ejpam-5527	172	26	)	)	PUNCT
ejpam-5527	172	27	≤	≤	NUM
ejpam-5527	172	28	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	172	29	)	)	PUNCT
ejpam-5527	172	30	≤	≤	NOUN
ejpam-5527	172	31	š	š	PROPN
ejpam-5527	172	32	and	and	CCONJ
ejpam-5527	172	33	ζ̄+(0	ζ̄+(0	PROPN
ejpam-5527	172	34	)	)	PUNCT
ejpam-5527	172	35	≥	≥	NOUN
ejpam-5527	172	36	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	172	37	)	)	PUNCT
ejpam-5527	172	38	≥	≥	NOUN
ejpam-5527	172	39	ǔ	ǔ	PROPN
ejpam-5527	172	40	,	,	PUNCT
ejpam-5527	172	41	and	and	CCONJ
ejpam-5527	172	42	so	so	ADV
ejpam-5527	172	43	(	(	PUNCT
ejpam-5527	172	44	0	0	NUM
ejpam-5527	172	45	,	,	PUNCT
ejpam-5527	172	46	š	š	NOUN
ejpam-5527	172	47	)	)	PUNCT
ejpam-5527	172	48	∈	∈	PROPN
ejpam-5527	172	49	ζ̄−and(0	ζ̄−and(0	PROPN
ejpam-5527	172	50	,	,	PUNCT
ejpam-5527	172	51	ǔ	ǔ	PRON
ejpam-5527	172	52	)	)	PUNCT
ejpam-5527	172	53	∈	∈	PROPN
ejpam-5527	172	54	ζ̄+	ζ̄+	NOUN
ejpam-5527	172	55	.	.	PUNCT
ejpam-5527	173	1	since	since	SCONJ
ejpam-5527	173	2	(	(	PUNCT
ejpam-5527	173	3	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	173	4	,	,	PUNCT
ejpam-5527	173	5	ζ̄(ϱ̌0	ζ̄(ϱ̌0	NOUN
ejpam-5527	173	6	)	)	PUNCT
ejpam-5527	173	7	)	)	PUNCT
ejpam-5527	174	1	∈	∈	PROPN
ejpam-5527	174	2	ζ̄−	ζ̄−	NOUN
ejpam-5527	174	3	and	and	CCONJ
ejpam-5527	174	4	(	(	PUNCT
ejpam-5527	174	5	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	174	6	,	,	PUNCT
ejpam-5527	174	7	ζ̄(ϱ̌0	ζ̄(ϱ̌0	NOUN
ejpam-5527	174	8	)	)	PUNCT
ejpam-5527	174	9	)	)	PUNCT
ejpam-5527	175	1	∈	∈	PROPN
ejpam-5527	175	2	ζ̄+	ζ̄+	PUNCT
ejpam-5527	175	3	for	for	ADP
ejpam-5527	175	4	all	all	PRON
ejpam-5527	175	5	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	175	6	∈	∈	PROPN
ejpam-5527	175	7	ℵ̌	ℵ̌	PROPN
ejpam-5527	175	8	,	,	PUNCT
ejpam-5527	175	9	it	it	PRON
ejpam-5527	175	10	follows	follow	VERB
ejpam-5527	175	11	from	from	ADP
ejpam-5527	175	12	(	(	PUNCT
ejpam-5527	175	13	i	i	NOUN
ejpam-5527	175	14	)	)	PUNCT
ejpam-5527	175	15	that	that	SCONJ
ejpam-5527	175	16	(	(	PUNCT
ejpam-5527	175	17	0	0	NUM
ejpam-5527	175	18	,	,	PUNCT
ejpam-5527	175	19	ζ̄(ϱ̌0	ζ̄(ϱ̌0	NOUN
ejpam-5527	175	20	)	)	PUNCT
ejpam-5527	175	21	)	)	PUNCT
ejpam-5527	176	1	∈	∈	PROPN
ejpam-5527	176	2	ζ̄−	ζ̄−	NOUN
ejpam-5527	176	3	and	and	CCONJ
ejpam-5527	176	4	(	(	PUNCT
ejpam-5527	176	5	0	0	NUM
ejpam-5527	176	6	,	,	PUNCT
ejpam-5527	176	7	ζ̄(ϱ̌0	ζ̄(ϱ̌0	NOUN
ejpam-5527	176	8	)	)	PUNCT
ejpam-5527	176	9	)	)	PUNCT
ejpam-5527	177	1	∈	∈	PROPN
ejpam-5527	177	2	ζ̄+	ζ̄+	PUNCT
ejpam-5527	177	3	so	so	SCONJ
ejpam-5527	177	4	that	that	PRON
ejpam-5527	177	5	ζ̄−(0	ζ̄−(0	NOUN
ejpam-5527	177	6	)	)	PUNCT
ejpam-5527	177	7	≤	≤	NOUN
ejpam-5527	177	8	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	177	9	)	)	PUNCT
ejpam-5527	177	10	and	and	CCONJ
ejpam-5527	177	11	ζ̄+(0	ζ̄+(0	PROPN
ejpam-5527	177	12	)	)	PUNCT
ejpam-5527	177	13	≥	≥	NOUN
ejpam-5527	177	14	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	177	15	)	)	PUNCT
ejpam-5527	177	16	for	for	ADP
ejpam-5527	177	17	all	all	DET
ejpam-5527	177	18	ϱ̌0	ϱ̌0	NUM
ejpam-5527	177	19	∈	∈	NOUN
ejpam-5527	177	20	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	177	21	assume	assume	VERB
ejpam-5527	177	22	that	that	SCONJ
ejpam-5527	177	23	definition	definition	NOUN
ejpam-5527	177	24	7	7	NUM
ejpam-5527	177	25	holds	hold	NOUN
ejpam-5527	177	26	.	.	PUNCT
ejpam-5527	178	1	let	let	VERB
ejpam-5527	178	2	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	178	3	,	,	PUNCT
ejpam-5527	178	4	ϱ̌1	ϱ̌1	NUM
ejpam-5527	178	5	,	,	PUNCT
ejpam-5527	178	6	ϱ̌2	ϱ̌2	VERB
ejpam-5527	178	7	∈	∈	PROPN
ejpam-5527	178	8	ℵ̌	ℵ̌	NOUN
ejpam-5527	178	9	,	,	PUNCT
ejpam-5527	178	10	and	and	CCONJ
ejpam-5527	178	11	š	š	NOUN
ejpam-5527	178	12	,	,	PUNCT
ejpam-5527	178	13	ť	ť	NOUN
ejpam-5527	178	14	∈	∈	PROPN
ejpam-5527	179	1	[	[	X
ejpam-5527	179	2	−1	−1	NOUN
ejpam-5527	179	3	,	,	PUNCT
ejpam-5527	179	4	0	0	NUM
ejpam-5527	179	5	)	)	PUNCT
ejpam-5527	179	6	,	,	PUNCT
ejpam-5527	179	7	ǔ	ǔ	PROPN
ejpam-5527	179	8	,	,	PUNCT
ejpam-5527	179	9	v̌	v̌	SYM
ejpam-5527	179	10	∈	∈	PROPN
ejpam-5527	179	11	(	(	PUNCT
ejpam-5527	179	12	0	0	NUM
ejpam-5527	179	13	,	,	PUNCT
ejpam-5527	179	14	1	1	NUM
ejpam-5527	179	15	]	]	PUNCT
ejpam-5527	179	16	be	be	AUX
ejpam-5527	179	17	such	such	ADJ
ejpam-5527	179	18	that	that	SCONJ
ejpam-5527	179	19	(	(	PUNCT
ejpam-5527	179	20	(	(	PUNCT
ejpam-5527	179	21	ϱ̌0	ϱ̌0	NUM
ejpam-5527	179	22	≬	≬	PROPN
ejpam-5527	179	23	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	179	24	)	)	PUNCT
ejpam-5527	179	25	≬	≬	PROPN
ejpam-5527	179	26	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	179	27	,	,	PUNCT
ejpam-5527	179	28	š	š	NOUN
ejpam-5527	179	29	)	)	PUNCT
ejpam-5527	179	30	∈	∈	PROPN
ejpam-5527	179	31	ζ̄−	ζ̄−	NOUN
ejpam-5527	179	32	,	,	PUNCT
ejpam-5527	179	33	(	(	PUNCT
ejpam-5527	179	34	ϱ̌2	ϱ̌2	X
ejpam-5527	179	35	,	,	PUNCT
ejpam-5527	179	36	ť	ť	NOUN
ejpam-5527	179	37	)	)	PUNCT
ejpam-5527	179	38	∈	∈	PROPN
ejpam-5527	179	39	ζ̄−	ζ̄−	NOUN
ejpam-5527	179	40	,	,	PUNCT
ejpam-5527	179	41	and	and	CCONJ
ejpam-5527	179	42	(	(	PUNCT
ejpam-5527	179	43	(	(	PUNCT
ejpam-5527	179	44	ϱ̌0	ϱ̌0	NUM
ejpam-5527	179	45	≬	≬	PROPN
ejpam-5527	179	46	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	179	47	)	)	PUNCT
ejpam-5527	179	48	≬	≬	PROPN
ejpam-5527	179	49	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	179	50	,	,	PUNCT
ejpam-5527	179	51	ǔ	ǔ	SYM
ejpam-5527	179	52	)	)	PUNCT
ejpam-5527	179	53	∈	∈	NOUN
ejpam-5527	179	54	ζ̄+	ζ̄+	PROPN
ejpam-5527	179	55	,	,	PUNCT
ejpam-5527	179	56	(	(	PUNCT
ejpam-5527	179	57	ϱ̌2	ϱ̌2	X
ejpam-5527	179	58	,	,	PUNCT
ejpam-5527	179	59	v̌	v̌	X
ejpam-5527	179	60	)	)	PUNCT
ejpam-5527	179	61	∈	∈	NOUN
ejpam-5527	179	62	ζ̄+	ζ̄+	PUNCT
ejpam-5527	179	63	.	.	PUNCT
ejpam-5527	180	1	then	then	ADV
ejpam-5527	180	2	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	180	3	≬	≬	PROPN
ejpam-5527	180	4	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	180	5	)	)	PUNCT
ejpam-5527	180	6	≬	≬	PROPN
ejpam-5527	180	7	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	180	8	)	)	PUNCT
ejpam-5527	180	9	≤	≤	NOUN
ejpam-5527	180	10	š	š	PROPN
ejpam-5527	180	11	,	,	PUNCT
ejpam-5527	180	12	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	180	13	)	)	PUNCT
ejpam-5527	180	14	≤	≤	NOUN
ejpam-5527	180	15	ť	ť	NOUN
ejpam-5527	180	16	and	and	CCONJ
ejpam-5527	180	17	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	180	18	≬	≬	PROPN
ejpam-5527	180	19	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	180	20	)	)	PUNCT
ejpam-5527	180	21	≬	≬	PROPN
ejpam-5527	180	22	ϱ̌2	ϱ̌2	PART
ejpam-5527	180	23	)	)	PUNCT
ejpam-5527	180	24	≥	≥	NOUN
ejpam-5527	180	25	ǔ	ǔ	PROPN
ejpam-5527	180	26	,	,	PUNCT
ejpam-5527	180	27	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	180	28	)	)	PUNCT
ejpam-5527	180	29	≥	≥	NOUN
ejpam-5527	180	30	v̌.	v̌.	NOUN
ejpam-5527	180	31	it	it	PRON
ejpam-5527	180	32	follows	follow	VERB
ejpam-5527	180	33	from	from	ADP
ejpam-5527	180	34	definition	definition	NOUN
ejpam-5527	180	35	7	7	NUM
ejpam-5527	180	36	,	,	PUNCT
ejpam-5527	180	37	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	ADJ
ejpam-5527	180	38	≬	≬	PROPN
ejpam-5527	180	39	(	(	PUNCT
ejpam-5527	180	40	ϱ̌1	ϱ̌1	NUM
ejpam-5527	180	41	≬	≬	PROPN
ejpam-5527	180	42	(	(	PUNCT
ejpam-5527	180	43	ϱ̌1	ϱ̌1	X
ejpam-5527	180	44	≬	≬	PROPN
ejpam-5527	180	45	ϱ̌0	ϱ̌0	NUM
ejpam-5527	180	46	)	)	PUNCT
ejpam-5527	180	47	)	)	PUNCT
ejpam-5527	180	48	)	)	PUNCT
ejpam-5527	181	1	≤	≤	NOUN
ejpam-5527	181	2	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	181	3	≬	≬	PROPN
ejpam-5527	181	4	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	181	5	)	)	PUNCT
ejpam-5527	181	6	≬	≬	PROPN
ejpam-5527	181	7	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	181	8	)	)	PUNCT
ejpam-5527	181	9	)	)	PUNCT
ejpam-5527	181	10	∨	∨	NUM
ejpam-5527	181	11	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	181	12	)	)	PUNCT
ejpam-5527	181	13	≤	≤	NUM
ejpam-5527	182	1	š	š	PROPN
ejpam-5527	182	2	∨	∨	NOUN
ejpam-5527	182	3	ť	ť	PROPN
ejpam-5527	182	4	k.	k.	PROPN
ejpam-5527	182	5	h.	h.	PROPN
ejpam-5527	182	6	hakami	hakami	PROPN
ejpam-5527	182	7	et	et	PROPN
ejpam-5527	182	8	al	al	PROPN
ejpam-5527	182	9	.	.	PUNCT
ejpam-5527	182	10	/	/	SYM
ejpam-5527	182	11	eur	eur	PROPN
ejpam-5527	182	12	.	.	PUNCT
ejpam-5527	183	1	j.	j.	PROPN
ejpam-5527	183	2	pure	pure	PROPN
ejpam-5527	183	3	appl	appl	PROPN
ejpam-5527	183	4	.	.	PROPN
ejpam-5527	183	5	math	math	PROPN
ejpam-5527	183	6	,	,	PUNCT
ejpam-5527	183	7	17	17	NUM
ejpam-5527	183	8	(	(	PUNCT
ejpam-5527	183	9	4	4	NUM
ejpam-5527	183	10	)	)	PUNCT
ejpam-5527	183	11	(	(	PUNCT
ejpam-5527	183	12	2024	2024	NUM
ejpam-5527	183	13	)	)	PUNCT
ejpam-5527	183	14	,	,	PUNCT
ejpam-5527	183	15	3973	3973	NUM
ejpam-5527	183	16	-	-	SYM
ejpam-5527	183	17	3993	3993	NUM
ejpam-5527	183	18	3980	3980	NUM
ejpam-5527	183	19	and	and	CCONJ
ejpam-5527	183	20	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	183	21	≬	≬	PROPN
ejpam-5527	183	22	(	(	PUNCT
ejpam-5527	183	23	ϱ̌1	ϱ̌1	NUM
ejpam-5527	183	24	≬	≬	PROPN
ejpam-5527	183	25	(	(	PUNCT
ejpam-5527	183	26	ϱ̌1	ϱ̌1	X
ejpam-5527	183	27	≬	≬	PROPN
ejpam-5527	183	28	ϱ̌0	ϱ̌0	NUM
ejpam-5527	183	29	)	)	PUNCT
ejpam-5527	183	30	)	)	PUNCT
ejpam-5527	183	31	)	)	PUNCT
ejpam-5527	183	32	≥	≥	X
ejpam-5527	184	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	184	2	≬	≬	PROPN
ejpam-5527	184	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	184	4	)	)	PUNCT
ejpam-5527	184	5	≬	≬	PROPN
ejpam-5527	184	6	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	184	7	)	)	PUNCT
ejpam-5527	184	8	)	)	PUNCT
ejpam-5527	184	9	∧	∧	PROPN
ejpam-5527	184	10	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	184	11	)	)	PUNCT
ejpam-5527	184	12	≥	≥	NOUN
ejpam-5527	185	1	ǔ	ǔ	PROPN
ejpam-5527	185	2	∧	∧	PROPN
ejpam-5527	185	3	v̌.	v̌.	ADV
ejpam-5527	185	4	so	so	ADV
ejpam-5527	185	5	,	,	PUNCT
ejpam-5527	185	6	that	that	SCONJ
ejpam-5527	185	7	(	(	PUNCT
ejpam-5527	185	8	ϱ̌0	ϱ̌0	NUM
ejpam-5527	185	9	≬	≬	PROPN
ejpam-5527	185	10	(	(	PUNCT
ejpam-5527	185	11	ϱ̌1	ϱ̌1	NUM
ejpam-5527	185	12	≬	≬	PROPN
ejpam-5527	185	13	(	(	PUNCT
ejpam-5527	185	14	ϱ̌1	ϱ̌1	X
ejpam-5527	185	15	≬	≬	PROPN
ejpam-5527	185	16	ϱ̌0	ϱ̌0	NUM
ejpam-5527	185	17	)	)	PUNCT
ejpam-5527	185	18	)	)	PUNCT
ejpam-5527	185	19	,	,	PUNCT
ejpam-5527	185	20	š	š	PROPN
ejpam-5527	185	21	∨	∨	NUM
ejpam-5527	185	22	ť	ť	NOUN
ejpam-5527	185	23	)	)	PUNCT
ejpam-5527	185	24	∈	∈	PROPN
ejpam-5527	185	25	ζ̄−	ζ̄−	NOUN
ejpam-5527	185	26	and	and	CCONJ
ejpam-5527	185	27	(	(	PUNCT
ejpam-5527	185	28	ϱ̌0	ϱ̌0	NUM
ejpam-5527	185	29	≬	≬	PROPN
ejpam-5527	185	30	(	(	PUNCT
ejpam-5527	185	31	ϱ̌1	ϱ̌1	NUM
ejpam-5527	185	32	≬	≬	PROPN
ejpam-5527	185	33	(	(	PUNCT
ejpam-5527	185	34	ϱ̌1	ϱ̌1	X
ejpam-5527	185	35	≬	≬	PROPN
ejpam-5527	185	36	ϱ̌0	ϱ̌0	NUM
ejpam-5527	185	37	)	)	PUNCT
ejpam-5527	185	38	)	)	PUNCT
ejpam-5527	185	39	,	,	PUNCT
ejpam-5527	185	40	ǔ	ǔ	PROPN
ejpam-5527	185	41	∧	∧	NOUN
ejpam-5527	185	42	v̌	v̌	NOUN
ejpam-5527	185	43	)	)	PUNCT
ejpam-5527	185	44	∈	∈	NOUN
ejpam-5527	185	45	ζ̄+	ζ̄+	PUNCT
ejpam-5527	185	46	.	.	PUNCT
ejpam-5527	186	1	next	next	ADV
ejpam-5527	186	2	,	,	PUNCT
ejpam-5527	186	3	suppose	suppose	VERB
ejpam-5527	186	4	that	that	SCONJ
ejpam-5527	186	5	(	(	PUNCT
ejpam-5527	186	6	ii	ii	NOUN
ejpam-5527	186	7	)	)	PUNCT
ejpam-5527	186	8	and	and	CCONJ
ejpam-5527	186	9	(	(	PUNCT
ejpam-5527	186	10	iii	iii	X
ejpam-5527	186	11	)	)	PUNCT
ejpam-5527	186	12	are	be	AUX
ejpam-5527	186	13	holds	hold	NOUN
ejpam-5527	186	14	.	.	PUNCT
ejpam-5527	187	1	for	for	ADP
ejpam-5527	187	2	every	every	DET
ejpam-5527	187	3	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	187	4	,	,	PUNCT
ejpam-5527	187	5	ϱ̌1	ϱ̌1	NUM
ejpam-5527	187	6	,	,	PUNCT
ejpam-5527	187	7	ϱ̌2	ϱ̌2	VERB
ejpam-5527	187	8	∈	∈	PROPN
ejpam-5527	187	9	ℵ̌	ℵ̌	NOUN
ejpam-5527	187	10	,	,	PUNCT
ejpam-5527	187	11	(	(	PUNCT
ejpam-5527	187	12	(	(	PUNCT
ejpam-5527	187	13	ϱ̌0	ϱ̌0	NUM
ejpam-5527	187	14	≬	≬	PROPN
ejpam-5527	187	15	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	187	16	)	)	PUNCT
ejpam-5527	187	17	≬	≬	PROPN
ejpam-5527	187	18	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	187	19	,	,	PUNCT
ejpam-5527	187	20	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	187	21	≬	≬	PROPN
ejpam-5527	187	22	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	187	23	)	)	PUNCT
ejpam-5527	187	24	≬	≬	PROPN
ejpam-5527	187	25	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	187	26	)	)	PUNCT
ejpam-5527	187	27	)	)	PUNCT
ejpam-5527	188	1	∈	∈	PROPN
ejpam-5527	188	2	ζ̄−	ζ̄−	PROPN
ejpam-5527	188	3	,	,	PUNCT
ejpam-5527	188	4	(	(	PUNCT
ejpam-5527	188	5	ϱ̌2	ϱ̌2	NUM
ejpam-5527	188	6	,	,	PUNCT
ejpam-5527	188	7	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	188	8	)	)	PUNCT
ejpam-5527	188	9	)	)	PUNCT
ejpam-5527	189	1	∈	∈	PROPN
ejpam-5527	189	2	ζ̄−	ζ̄−	NOUN
ejpam-5527	189	3	and	and	CCONJ
ejpam-5527	189	4	(	(	PUNCT
ejpam-5527	189	5	(	(	PUNCT
ejpam-5527	189	6	ϱ̌0	ϱ̌0	NUM
ejpam-5527	189	7	≬	≬	PROPN
ejpam-5527	189	8	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	189	9	)	)	PUNCT
ejpam-5527	189	10	≬	≬	PROPN
ejpam-5527	189	11	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	189	12	,	,	PUNCT
ejpam-5527	189	13	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	189	14	≬	≬	PROPN
ejpam-5527	189	15	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	189	16	)	)	PUNCT
ejpam-5527	189	17	≬	≬	PROPN
ejpam-5527	189	18	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	189	19	)	)	PUNCT
ejpam-5527	189	20	)	)	PUNCT
ejpam-5527	189	21	∈	∈	PROPN
ejpam-5527	189	22	ζ̄+	ζ̄+	PROPN
ejpam-5527	189	23	,	,	PUNCT
ejpam-5527	189	24	(	(	PUNCT
ejpam-5527	189	25	ϱ̌2	ϱ̌2	NUM
ejpam-5527	189	26	,	,	PUNCT
ejpam-5527	189	27	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	189	28	)	)	PUNCT
ejpam-5527	189	29	)	)	PUNCT
ejpam-5527	189	30	.	.	PUNCT
ejpam-5527	190	1	hence	hence	ADV
ejpam-5527	190	2	,	,	PUNCT
ejpam-5527	190	3	(	(	PUNCT
ejpam-5527	190	4	ϱ̌0	ϱ̌0	NUM
ejpam-5527	190	5	≬	≬	PROPN
ejpam-5527	190	6	(	(	PUNCT
ejpam-5527	190	7	ϱ̌1	ϱ̌1	NUM
ejpam-5527	190	8	≬	≬	PROPN
ejpam-5527	190	9	(	(	PUNCT
ejpam-5527	190	10	ϱ̌1	ϱ̌1	X
ejpam-5527	190	11	≬	≬	PROPN
ejpam-5527	190	12	ϱ̌0	ϱ̌0	NUM
ejpam-5527	190	13	)	)	PUNCT
ejpam-5527	190	14	)	)	PUNCT
ejpam-5527	190	15	,	,	PUNCT
ejpam-5527	190	16	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	190	17	≬	≬	PROPN
ejpam-5527	190	18	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	190	19	)	)	PUNCT
ejpam-5527	190	20	≬	≬	PROPN
ejpam-5527	190	21	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	190	22	)	)	PUNCT
ejpam-5527	190	23	∨	∨	NUM
ejpam-5527	190	24	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	190	25	)	)	PUNCT
ejpam-5527	190	26	)	)	PUNCT
ejpam-5527	191	1	∈	∈	PROPN
ejpam-5527	191	2	ζ̄−	ζ̄−	NOUN
ejpam-5527	191	3	and	and	CCONJ
ejpam-5527	191	4	(	(	PUNCT
ejpam-5527	191	5	ϱ̌0	ϱ̌0	NUM
ejpam-5527	191	6	≬	≬	PROPN
ejpam-5527	191	7	(	(	PUNCT
ejpam-5527	191	8	ϱ̌1	ϱ̌1	NUM
ejpam-5527	191	9	≬	≬	PROPN
ejpam-5527	191	10	(	(	PUNCT
ejpam-5527	191	11	ϱ̌1	ϱ̌1	X
ejpam-5527	191	12	≬	≬	PROPN
ejpam-5527	191	13	ϱ̌0	ϱ̌0	NUM
ejpam-5527	191	14	)	)	PUNCT
ejpam-5527	191	15	)	)	PUNCT
ejpam-5527	191	16	,	,	PUNCT
ejpam-5527	191	17	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	191	18	≬	≬	PROPN
ejpam-5527	191	19	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	191	20	)	)	PUNCT
ejpam-5527	191	21	≬	≬	PROPN
ejpam-5527	191	22	ϱ̌2	ϱ̌2	PART
ejpam-5527	191	23	)	)	PUNCT
ejpam-5527	191	24	∧	∧	PROPN
ejpam-5527	191	25	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	191	26	)	)	PUNCT
ejpam-5527	191	27	)	)	PUNCT
ejpam-5527	191	28	∈	∈	PROPN
ejpam-5527	191	29	ζ̄+	ζ̄+	PUNCT
ejpam-5527	191	30	by	by	ADP
ejpam-5527	191	31	(	(	PUNCT
ejpam-5527	191	32	ii	ii	NOUN
ejpam-5527	191	33	)	)	PUNCT
ejpam-5527	191	34	,	,	PUNCT
ejpam-5527	191	35	and	and	CCONJ
ejpam-5527	191	36	(	(	PUNCT
ejpam-5527	191	37	iii	iii	NOUN
ejpam-5527	191	38	)	)	PUNCT
ejpam-5527	191	39	,	,	PUNCT
ejpam-5527	191	40	respectively	respectively	ADV
ejpam-5527	191	41	and	and	CCONJ
ejpam-5527	191	42	thus	thus	ADV
ejpam-5527	191	43	,	,	PUNCT
ejpam-5527	191	44	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	191	45	≬	≬	PROPN
ejpam-5527	191	46	(	(	PUNCT
ejpam-5527	191	47	ϱ̌1	ϱ̌1	NUM
ejpam-5527	191	48	≬	≬	PROPN
ejpam-5527	191	49	(	(	PUNCT
ejpam-5527	191	50	ϱ̌1	ϱ̌1	X
ejpam-5527	191	51	≬	≬	PROPN
ejpam-5527	191	52	ϱ̌0	ϱ̌0	NUM
ejpam-5527	191	53	)	)	PUNCT
ejpam-5527	191	54	)	)	PUNCT
ejpam-5527	191	55	)	)	PUNCT
ejpam-5527	191	56	≤	≤	NOUN
ejpam-5527	191	57	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	191	58	≬	≬	PROPN
ejpam-5527	191	59	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	191	60	)	)	PUNCT
ejpam-5527	191	61	≬	≬	PROPN
ejpam-5527	191	62	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	191	63	)	)	PUNCT
ejpam-5527	191	64	∨	∨	NUM
ejpam-5527	191	65	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	191	66	)	)	PUNCT
ejpam-5527	191	67	,	,	PUNCT
ejpam-5527	191	68	and	and	CCONJ
ejpam-5527	191	69	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	191	70	≬	≬	PROPN
ejpam-5527	191	71	(	(	PUNCT
ejpam-5527	191	72	ϱ̌1	ϱ̌1	NUM
ejpam-5527	191	73	≬	≬	PROPN
ejpam-5527	191	74	(	(	PUNCT
ejpam-5527	191	75	ϱ̌1	ϱ̌1	X
ejpam-5527	191	76	≬	≬	PROPN
ejpam-5527	191	77	ϱ̌0	ϱ̌0	NUM
ejpam-5527	191	78	)	)	PUNCT
ejpam-5527	191	79	)	)	PUNCT
ejpam-5527	191	80	)	)	PUNCT
ejpam-5527	191	81	≥	≥	X
ejpam-5527	192	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	192	2	≬	≬	PROPN
ejpam-5527	192	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	192	4	)	)	PUNCT
ejpam-5527	192	5	≬	≬	PROPN
ejpam-5527	192	6	ϱ̌2	ϱ̌2	PART
ejpam-5527	192	7	)	)	PUNCT
ejpam-5527	192	8	∧	∧	PROPN
ejpam-5527	192	9	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	192	10	)	)	PUNCT
ejpam-5527	192	11	.	.	PUNCT
ejpam-5527	193	1	theorem	theorem	NOUN
ejpam-5527	193	2	3	3	NUM
ejpam-5527	193	3	.	.	PUNCT
ejpam-5527	193	4	a	a	DET
ejpam-5527	193	5	bfs	bfs	NOUN
ejpam-5527	193	6	ζ̄	ζ̄	ADV
ejpam-5527	193	7	is	be	AUX
ejpam-5527	193	8	an	an	DET
ejpam-5527	193	9	(	(	PUNCT
ejpam-5527	193	10	∈,∈	∈,∈	X
ejpam-5527	193	11	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	193	12	,	,	PUNCT
ejpam-5527	193	13	q̌φ))-bffi	q̌φ))-bffi	PROPN
ejpam-5527	193	14	of	of	ADP
ejpam-5527	193	15	ℵ̌	ℵ̌	PROPN
ejpam-5527	193	16	⇔	⇔	PROPN
ejpam-5527	193	17	satisfies	satisfy	VERB
ejpam-5527	193	18	the	the	DET
ejpam-5527	193	19	succeeding	succeed	VERB
ejpam-5527	193	20	assertions	assertion	NOUN
ejpam-5527	193	21	:	:	PUNCT
ejpam-5527	193	22	(	(	PUNCT
ejpam-5527	193	23	i	i	NOUN
ejpam-5527	193	24	)	)	PUNCT
ejpam-5527	193	25	ζ̄−(0	ζ̄−(0	VERB
ejpam-5527	193	26	)	)	PUNCT
ejpam-5527	193	27	≤	≤	NUM
ejpam-5527	193	28	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	193	29	)	)	PUNCT
ejpam-5527	193	30	∨	∨	PROPN
ejpam-5527	193	31	(	(	PUNCT
ejpam-5527	193	32	φ2	φ2	PROPN
ejpam-5527	193	33	−	−	PROPN
ejpam-5527	193	34	φ⋇	φ⋇	PROPN
ejpam-5527	193	35	2	2	NUM
ejpam-5527	193	36	)	)	PUNCT
ejpam-5527	193	37	and	and	CCONJ
ejpam-5527	193	38	ζ̄+(0	ζ̄+(0	PROPN
ejpam-5527	193	39	)	)	PUNCT
ejpam-5527	193	40	≥	≥	NOUN
ejpam-5527	193	41	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	193	42	)	)	PUNCT
ejpam-5527	193	43	∧	∧	NOUN
ejpam-5527	193	44	(	(	PUNCT
ejpam-5527	193	45	−φ	−φ	NOUN
ejpam-5527	193	46	2	2	NUM
ejpam-5527	193	47	+	+	CCONJ
ejpam-5527	193	48	φ⋇	φ⋇	PROPN
ejpam-5527	193	49	2	2	NUM
ejpam-5527	193	50	)	)	PUNCT
ejpam-5527	193	51	,	,	PUNCT
ejpam-5527	193	52	(	(	PUNCT
ejpam-5527	193	53	ii	ii	NOUN
ejpam-5527	193	54	)	)	PUNCT
ejpam-5527	193	55	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	193	56	≬	≬	PROPN
ejpam-5527	193	57	(	(	PUNCT
ejpam-5527	193	58	ϱ̌1	ϱ̌1	NUM
ejpam-5527	193	59	≬	≬	PROPN
ejpam-5527	193	60	(	(	PUNCT
ejpam-5527	193	61	ϱ̌1	ϱ̌1	X
ejpam-5527	193	62	≬	≬	PROPN
ejpam-5527	193	63	ϱ̌0	ϱ̌0	NUM
ejpam-5527	193	64	)	)	PUNCT
ejpam-5527	193	65	)	)	PUNCT
ejpam-5527	193	66	)	)	PUNCT
ejpam-5527	193	67	≤	≤	NOUN
ejpam-5527	193	68	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	193	69	≬	≬	PROPN
ejpam-5527	193	70	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	193	71	)	)	PUNCT
ejpam-5527	193	72	≬	≬	PROPN
ejpam-5527	193	73	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	193	74	)	)	PUNCT
ejpam-5527	193	75	∨	∨	NUM
ejpam-5527	193	76	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	193	77	)	)	PUNCT
ejpam-5527	193	78	∨	∨	NUM
ejpam-5527	193	79	(	(	PUNCT
ejpam-5527	193	80	φ2	φ2	PROPN
ejpam-5527	193	81	−	−	PROPN
ejpam-5527	193	82	φ⋇	φ⋇	PROPN
ejpam-5527	193	83	2	2	NUM
ejpam-5527	193	84	)	)	PUNCT
ejpam-5527	193	85	,	,	PUNCT
ejpam-5527	193	86	(	(	PUNCT
ejpam-5527	193	87	iii	iii	X
ejpam-5527	193	88	)	)	PUNCT
ejpam-5527	193	89	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	193	90	≬	≬	PROPN
ejpam-5527	193	91	(	(	PUNCT
ejpam-5527	193	92	ϱ̌1	ϱ̌1	NUM
ejpam-5527	193	93	≬	≬	PROPN
ejpam-5527	193	94	(	(	PUNCT
ejpam-5527	193	95	ϱ̌1	ϱ̌1	X
ejpam-5527	193	96	≬	≬	PROPN
ejpam-5527	193	97	ϱ̌0	ϱ̌0	NUM
ejpam-5527	193	98	)	)	PUNCT
ejpam-5527	193	99	)	)	PUNCT
ejpam-5527	193	100	)	)	PUNCT
ejpam-5527	193	101	≥	≥	X
ejpam-5527	194	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	194	2	≬	≬	PROPN
ejpam-5527	194	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	194	4	)	)	PUNCT
ejpam-5527	194	5	≬	≬	PROPN
ejpam-5527	194	6	ϱ̌2	ϱ̌2	PART
ejpam-5527	194	7	)	)	PUNCT
ejpam-5527	194	8	∧	∧	PROPN
ejpam-5527	194	9	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	194	10	)	)	PUNCT
ejpam-5527	194	11	∧	∧	NOUN
ejpam-5527	194	12	(	(	PUNCT
ejpam-5527	194	13	−φ	−φ	NOUN
ejpam-5527	194	14	2	2	NUM
ejpam-5527	194	15	+	+	CCONJ
ejpam-5527	194	16	φ⋇	φ⋇	PROPN
ejpam-5527	194	17	2	2	NUM
ejpam-5527	194	18	)	)	PUNCT
ejpam-5527	194	19	for	for	ADP
ejpam-5527	194	20	all	all	DET
ejpam-5527	194	21	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	194	22	,	,	PUNCT
ejpam-5527	194	23	ϱ̌1	ϱ̌1	NUM
ejpam-5527	194	24	,	,	PUNCT
ejpam-5527	194	25	ϱ̌2	ϱ̌2	VERB
ejpam-5527	194	26	∈	∈	NOUN
ejpam-5527	194	27	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	194	28	proof	proof	NOUN
ejpam-5527	194	29	.	.	PUNCT
ejpam-5527	195	1	suppose	suppose	VERB
ejpam-5527	195	2	ζ̄	ζ̄	ADV
ejpam-5527	195	3	be	be	AUX
ejpam-5527	195	4	an	an	DET
ejpam-5527	195	5	(	(	PUNCT
ejpam-5527	195	6	∈,∈	∈,∈	X
ejpam-5527	195	7	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	195	8	,	,	PUNCT
ejpam-5527	195	9	q̌φ))-bffi	q̌φ))-bffi	PROPN
ejpam-5527	195	10	of	of	ADP
ejpam-5527	195	11	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	195	12	let	let	VERB
ejpam-5527	195	13	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	195	14	∈	∈	PRON
ejpam-5527	195	15	ℵ̌	ℵ̌	AUX
ejpam-5527	195	16	be	be	AUX
ejpam-5527	195	17	such	such	ADJ
ejpam-5527	195	18	that	that	DET
ejpam-5527	195	19	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	195	20	)	)	PUNCT
ejpam-5527	195	21	>	>	X
ejpam-5527	196	1	(	(	PUNCT
ejpam-5527	196	2	φ2	φ2	PROPN
ejpam-5527	196	3	−	−	PROPN
ejpam-5527	196	4	φ⋇	φ⋇	PROPN
ejpam-5527	196	5	2	2	NUM
ejpam-5527	196	6	)	)	PUNCT
ejpam-5527	196	7	and	and	CCONJ
ejpam-5527	196	8	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	196	9	)	)	PUNCT
ejpam-5527	196	10	<	<	X
ejpam-5527	196	11	(	(	PUNCT
ejpam-5527	196	12	−φ	−φ	NOUN
ejpam-5527	196	13	2	2	NUM
ejpam-5527	196	14	+	+	CCONJ
ejpam-5527	196	15	φ⋇	φ⋇	PROPN
ejpam-5527	196	16	2	2	NUM
ejpam-5527	196	17	)	)	PUNCT
ejpam-5527	196	18	.	.	PUNCT
ejpam-5527	197	1	if	if	SCONJ
ejpam-5527	197	2	ζ̄−(0	ζ̄−(0	VERB
ejpam-5527	197	3	)	)	PUNCT
ejpam-5527	197	4	>	>	X
ejpam-5527	197	5	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	197	6	)	)	PUNCT
ejpam-5527	197	7	and	and	CCONJ
ejpam-5527	197	8	ζ̄+(0	ζ̄+(0	NOUN
ejpam-5527	197	9	)	)	PUNCT
ejpam-5527	197	10	<	<	X
ejpam-5527	197	11	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	197	12	)	)	PUNCT
ejpam-5527	197	13	,	,	PUNCT
ejpam-5527	197	14	ζ̄−(0	ζ̄−(0	NOUN
ejpam-5527	197	15	)	)	PUNCT
ejpam-5527	197	16	>	>	X
ejpam-5527	198	1	š	š	X
ejpam-5527	198	2	>	>	SYM
ejpam-5527	198	3	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	198	4	)	)	PUNCT
ejpam-5527	198	5	and	and	CCONJ
ejpam-5527	198	6	ζ̄+(0	ζ̄+(0	NOUN
ejpam-5527	198	7	)	)	PUNCT
ejpam-5527	198	8	<	<	X
ejpam-5527	198	9	ǔ	ǔ	PUNCT
ejpam-5527	198	10	<	<	X
ejpam-5527	198	11	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	198	12	)	)	PUNCT
ejpam-5527	198	13	for	for	ADP
ejpam-5527	198	14	every	every	DET
ejpam-5527	198	15	š	š	PROPN
ejpam-5527	198	16	∈	∈	NOUN
ejpam-5527	198	17	(	(	PUNCT
ejpam-5527	198	18	φ2	φ2	PROPN
ejpam-5527	198	19	−	−	PROPN
ejpam-5527	198	20	φ⋇	φ⋇	PROPN
ejpam-5527	198	21	2	2	NUM
ejpam-5527	198	22	,	,	PUNCT
ejpam-5527	198	23	0	0	NUM
ejpam-5527	198	24	)	)	PUNCT
ejpam-5527	198	25	and	and	CCONJ
ejpam-5527	198	26	ǔ	ǔ	SYM
ejpam-5527	198	27	∈	∈	PROPN
ejpam-5527	198	28	(	(	PUNCT
ejpam-5527	198	29	0,−φ	0,−φ	NOUN
ejpam-5527	198	30	2	2	NUM
ejpam-5527	198	31	+	+	CCONJ
ejpam-5527	198	32	φ⋇	φ⋇	PROPN
ejpam-5527	198	33	2	2	NUM
ejpam-5527	198	34	)	)	PUNCT
ejpam-5527	198	35	,	,	PUNCT
ejpam-5527	198	36	so	so	ADV
ejpam-5527	198	37	we	we	PRON
ejpam-5527	198	38	get	get	VERB
ejpam-5527	198	39	(	(	PUNCT
ejpam-5527	198	40	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	198	41	,	,	PUNCT
ejpam-5527	198	42	š	š	NOUN
ejpam-5527	198	43	)	)	PUNCT
ejpam-5527	198	44	∈	∈	PROPN
ejpam-5527	198	45	ζ̄−	ζ̄−	NOUN
ejpam-5527	198	46	,	,	PUNCT
ejpam-5527	198	47	(	(	PUNCT
ejpam-5527	198	48	0	0	NUM
ejpam-5527	198	49	,	,	PUNCT
ejpam-5527	198	50	š)∈ζ̄−	š)∈ζ̄−	NOUN
ejpam-5527	198	51	and	and	CCONJ
ejpam-5527	198	52	(	(	PUNCT
ejpam-5527	198	53	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	198	54	,	,	PUNCT
ejpam-5527	198	55	ǔ	ǔ	PRON
ejpam-5527	198	56	)	)	PUNCT
ejpam-5527	198	57	∈	∈	NOUN
ejpam-5527	198	58	ζ̄+	ζ̄+	PROPN
ejpam-5527	198	59	,	,	PUNCT
ejpam-5527	198	60	(	(	PUNCT
ejpam-5527	198	61	0	0	NUM
ejpam-5527	198	62	,	,	PUNCT
ejpam-5527	198	63	v̌)∈ζ̄+	v̌)∈ζ̄+	NOUN
ejpam-5527	198	64	.	.	PROPN
ejpam-5527	199	1	since	since	SCONJ
ejpam-5527	199	2	ζ̄−(0)+š	ζ̄−(0)+š	NOUN
ejpam-5527	199	3	>	>	X
ejpam-5527	199	4	φ−φ⋇	φ−φ⋇	PUNCT
ejpam-5527	199	5	and	and	CCONJ
ejpam-5527	199	6	ζ̄+(0)+ǔ	ζ̄+(0)+ǔ	PROPN
ejpam-5527	199	7	<	<	X
ejpam-5527	199	8	−φ+φ⋇	−φ+φ⋇	PROPN
ejpam-5527	199	9	,	,	PUNCT
ejpam-5527	199	10	so	so	SCONJ
ejpam-5527	199	11	we	we	PRON
ejpam-5527	199	12	have	have	VERB
ejpam-5527	199	13	(	(	PUNCT
ejpam-5527	199	14	0	0	NUM
ejpam-5527	199	15	,	,	PUNCT
ejpam-5527	199	16	š)q̌φζ̄−	š)q̌φζ̄−	NOUN
ejpam-5527	199	17	and	and	CCONJ
ejpam-5527	199	18	(	(	PUNCT
ejpam-5527	199	19	0	0	NUM
ejpam-5527	199	20	,	,	PUNCT
ejpam-5527	199	21	ǔ)q̌φζ̄+	ǔ)q̌φζ̄+	PUNCT
ejpam-5527	199	22	.	.	PUNCT
ejpam-5527	200	1	it	it	PRON
ejpam-5527	200	2	follows	follow	VERB
ejpam-5527	200	3	that	that	SCONJ
ejpam-5527	200	4	(	(	PUNCT
ejpam-5527	200	5	0	0	NUM
ejpam-5527	200	6	,	,	PUNCT
ejpam-5527	200	7	š)∈	š)∈	PROPN
ejpam-5527	200	8	∨q̌φζ̄−	∨q̌φζ̄−	PROPN
ejpam-5527	200	9	and	and	CCONJ
ejpam-5527	200	10	(	(	PUNCT
ejpam-5527	200	11	0	0	NUM
ejpam-5527	200	12	,	,	PUNCT
ejpam-5527	200	13	ǔ)∈	ǔ)∈	PROPN
ejpam-5527	200	14	∨q̌φζ̄+	∨q̌φζ̄+	PROPN
ejpam-5527	200	15	,	,	PUNCT
ejpam-5527	200	16	a	a	DET
ejpam-5527	200	17	contradiction	contradiction	NOUN
ejpam-5527	200	18	.	.	PUNCT
ejpam-5527	201	1	hence	hence	ADV
ejpam-5527	201	2	,	,	PUNCT
ejpam-5527	201	3	ζ̄−(0	ζ̄−(0	NOUN
ejpam-5527	201	4	)	)	PUNCT
ejpam-5527	201	5	≤	≤	NOUN
ejpam-5527	201	6	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	201	7	)	)	PUNCT
ejpam-5527	201	8	and	and	CCONJ
ejpam-5527	201	9	ζ̄+(0	ζ̄+(0	PROPN
ejpam-5527	201	10	)	)	PUNCT
ejpam-5527	201	11	≥	≥	NOUN
ejpam-5527	201	12	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	201	13	)	)	PUNCT
ejpam-5527	201	14	.	.	PUNCT
ejpam-5527	202	1	now	now	ADV
ejpam-5527	202	2	if	if	SCONJ
ejpam-5527	202	3	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	202	4	)	)	PUNCT
ejpam-5527	202	5	≤	≤	NOUN
ejpam-5527	202	6	(	(	PUNCT
ejpam-5527	202	7	φ2	φ2	PROPN
ejpam-5527	202	8	−	−	PROPN
ejpam-5527	202	9	φ⋇	φ⋇	PROPN
ejpam-5527	202	10	2	2	NUM
ejpam-5527	202	11	)	)	PUNCT
ejpam-5527	202	12	and	and	CCONJ
ejpam-5527	202	13	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	202	14	)	)	PUNCT
ejpam-5527	202	15	≥	≥	NOUN
ejpam-5527	202	16	(	(	PUNCT
ejpam-5527	202	17	−φ	−φ	NOUN
ejpam-5527	202	18	2	2	NUM
ejpam-5527	202	19	+	+	CCONJ
ejpam-5527	202	20	φ⋇	φ⋇	PROPN
ejpam-5527	202	21	2	2	NUM
ejpam-5527	202	22	)	)	PUNCT
ejpam-5527	202	23	,	,	PUNCT
ejpam-5527	202	24	then	then	ADV
ejpam-5527	202	25	(	(	PUNCT
ejpam-5527	202	26	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	202	27	,	,	PUNCT
ejpam-5527	202	28	(	(	PUNCT
ejpam-5527	202	29	φ	φ	PROPN
ejpam-5527	202	30	2	2	NUM
ejpam-5527	202	31	−	−	PROPN
ejpam-5527	202	32	φ⋇	φ⋇	PROPN
ejpam-5527	202	33	2	2	NUM
ejpam-5527	202	34	)	)	PUNCT
ejpam-5527	202	35	)	)	PUNCT
ejpam-5527	203	1	∈	∈	PROPN
ejpam-5527	203	2	ζ̄−	ζ̄−	NOUN
ejpam-5527	203	3	and	and	CCONJ
ejpam-5527	203	4	(	(	PUNCT
ejpam-5527	203	5	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	203	6	,	,	PUNCT
ejpam-5527	203	7	(	(	PUNCT
ejpam-5527	203	8	−φ	−φ	NOUN
ejpam-5527	203	9	2	2	NUM
ejpam-5527	203	10	+	+	CCONJ
ejpam-5527	203	11	φ⋇	φ⋇	PROPN
ejpam-5527	203	12	2	2	NUM
ejpam-5527	203	13	)	)	PUNCT
ejpam-5527	203	14	)	)	PUNCT
ejpam-5527	203	15	∈	∈	PROPN
ejpam-5527	203	16	ζ̄+	ζ̄+	PUNCT
ejpam-5527	203	17	.	.	PUNCT
ejpam-5527	204	1	thus	thus	ADV
ejpam-5527	204	2	,	,	PUNCT
ejpam-5527	204	3	(	(	PUNCT
ejpam-5527	204	4	0	0	NUM
ejpam-5527	204	5	,	,	PUNCT
ejpam-5527	204	6	φ2	φ2	PROPN
ejpam-5527	204	7	−	−	PROPN
ejpam-5527	204	8	φ⋇	φ⋇	PROPN
ejpam-5527	204	9	2	2	NUM
ejpam-5527	204	10	)	)	PUNCT
ejpam-5527	204	11	)	)	PUNCT
ejpam-5527	205	1	∈	∈	PROPN
ejpam-5527	205	2	∨q̌φζ̄−	∨q̌φζ̄−	PROPN
ejpam-5527	205	3	and	and	CCONJ
ejpam-5527	205	4	(	(	PUNCT
ejpam-5527	205	5	0,−φ	0,−φ	NOUN
ejpam-5527	205	6	2	2	NUM
ejpam-5527	205	7	+	+	CCONJ
ejpam-5527	205	8	φ⋇	φ⋇	PROPN
ejpam-5527	205	9	2	2	NUM
ejpam-5527	205	10	)	)	PUNCT
ejpam-5527	205	11	∈	∈	PROPN
ejpam-5527	205	12	∨q̌φζ̄+	∨q̌φζ̄+	NOUN
ejpam-5527	205	13	.	.	PUNCT
ejpam-5527	206	1	thus	thus	ADV
ejpam-5527	206	2	,	,	PUNCT
ejpam-5527	206	3	ζ̄−(0	ζ̄−(0	NOUN
ejpam-5527	206	4	)	)	PUNCT
ejpam-5527	206	5	≤	≤	NUM
ejpam-5527	206	6	φ	φ	NUM
ejpam-5527	206	7	2	2	NUM
ejpam-5527	206	8	−	−	PROPN
ejpam-5527	206	9	φ⋇	φ⋇	PROPN
ejpam-5527	206	10	2	2	NUM
ejpam-5527	206	11	and	and	CCONJ
ejpam-5527	206	12	ζ̄+(0	ζ̄+(0	PROPN
ejpam-5527	206	13	)	)	PUNCT
ejpam-5527	206	14	≥	≥	NOUN
ejpam-5527	206	15	−φ	−φ	NOUN
ejpam-5527	206	16	2	2	NUM
ejpam-5527	206	17	+	+	CCONJ
ejpam-5527	206	18	φ⋇	φ⋇	PROPN
ejpam-5527	206	19	2	2	NUM
ejpam-5527	206	20	.	.	PUNCT
ejpam-5527	207	1	otherwise	otherwise	ADV
ejpam-5527	207	2	,	,	PUNCT
ejpam-5527	207	3	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	INTJ
ejpam-5527	207	4	)	)	PUNCT
ejpam-5527	208	1	+	+	CCONJ
ejpam-5527	208	2	φ	φ	NUM
ejpam-5527	208	3	2	2	NUM
ejpam-5527	208	4	−	−	PROPN
ejpam-5527	208	5	φ⋇	φ⋇	PROPN
ejpam-5527	208	6	2	2	NUM
ejpam-5527	208	7	>	>	SYM
ejpam-5527	208	8	φ	φ	PROPN
ejpam-5527	208	9	2	2	NUM
ejpam-5527	208	10	−	−	PROPN
ejpam-5527	208	11	φ⋇	φ⋇	PROPN
ejpam-5527	208	12	2	2	NUM
ejpam-5527	208	13	+	+	CCONJ
ejpam-5527	208	14	φ	φ	PROPN
ejpam-5527	208	15	2	2	NUM
ejpam-5527	208	16	−	−	PROPN
ejpam-5527	208	17	φ⋇	φ⋇	PROPN
ejpam-5527	208	18	2	2	NUM
ejpam-5527	208	19	=	=	SYM
ejpam-5527	208	20	φ−	φ−	PROPN
ejpam-5527	208	21	φ⋇	φ⋇	NOUN
ejpam-5527	208	22	and	and	CCONJ
ejpam-5527	208	23	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	208	24	)	)	PUNCT
ejpam-5527	209	1	+	+	CCONJ
ejpam-5527	209	2	−φ	−φ	NOUN
ejpam-5527	209	3	2	2	NUM
ejpam-5527	209	4	+	+	CCONJ
ejpam-5527	209	5	φ⋇	φ⋇	PROPN
ejpam-5527	209	6	2	2	NUM
ejpam-5527	209	7	<	<	X
ejpam-5527	209	8	−φ	−φ	NOUN
ejpam-5527	209	9	2	2	NUM
ejpam-5527	209	10	+	+	CCONJ
ejpam-5527	209	11	φ⋇	φ⋇	PROPN
ejpam-5527	209	12	2	2	NUM
ejpam-5527	210	1	+	+	NOUN
ejpam-5527	210	2	−φ	−φ	NOUN
ejpam-5527	210	3	2	2	NUM
ejpam-5527	210	4	+	+	CCONJ
ejpam-5527	210	5	φ⋇	φ⋇	PROPN
ejpam-5527	210	6	2	2	NUM
ejpam-5527	210	7	=	=	SYM
ejpam-5527	210	8	−φ+φ⋇	−φ+φ⋇	PROPN
ejpam-5527	210	9	,	,	PUNCT
ejpam-5527	210	10	a	a	DET
ejpam-5527	210	11	contradiction	contradiction	NOUN
ejpam-5527	210	12	.	.	PUNCT
ejpam-5527	211	1	consequently	consequently	ADV
ejpam-5527	211	2	,	,	PUNCT
ejpam-5527	211	3	ζ̄−(0	ζ̄−(0	NOUN
ejpam-5527	211	4	)	)	PUNCT
ejpam-5527	211	5	≤	≤	NOUN
ejpam-5527	211	6	{	{	PUNCT
ejpam-5527	211	7	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	211	8	)	)	PUNCT
ejpam-5527	211	9	,	,	PUNCT
ejpam-5527	211	10	φ2	φ2	PROPN
ejpam-5527	211	11	−	−	PROPN
ejpam-5527	211	12	φ⋇	φ⋇	PROPN
ejpam-5527	211	13	2	2	NUM
ejpam-5527	211	14	}	}	PUNCT
ejpam-5527	211	15	and	and	CCONJ
ejpam-5527	211	16	ζ̄+(0	ζ̄+(0	PROPN
ejpam-5527	211	17	)	)	PUNCT
ejpam-5527	211	18	≥	≥	NOUN
ejpam-5527	211	19	{	{	PUNCT
ejpam-5527	211	20	ζ̄+(ϱ̌0),−φ	ζ̄+(ϱ̌0),−φ	PROPN
ejpam-5527	211	21	2	2	NUM
ejpam-5527	211	22	+	+	CCONJ
ejpam-5527	211	23	φ⋇	φ⋇	PROPN
ejpam-5527	211	24	2	2	NUM
ejpam-5527	211	25	}	}	PUNCT
ejpam-5527	211	26	,	,	PUNCT
ejpam-5527	211	27	for	for	SCONJ
ejpam-5527	211	28	all	all	DET
ejpam-5527	211	29	ϱ̌0	ϱ̌0	NUM
ejpam-5527	211	30	∈	∈	NOUN
ejpam-5527	211	31	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	211	32	let	let	VERB
ejpam-5527	211	33	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	211	34	,	,	PUNCT
ejpam-5527	211	35	ϱ̌1	ϱ̌1	NUM
ejpam-5527	211	36	,	,	PUNCT
ejpam-5527	211	37	ϱ̌2	ϱ̌2	NUM
ejpam-5527	211	38	∈	∈	NOUN
ejpam-5527	211	39	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	211	40	suppose	suppose	VERB
ejpam-5527	211	41	that	that	SCONJ
ejpam-5527	211	42	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	211	43	≬	≬	PROPN
ejpam-5527	211	44	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	211	45	)	)	PUNCT
ejpam-5527	211	46	≬	≬	PROPN
ejpam-5527	211	47	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	211	48	)	)	PUNCT
ejpam-5527	211	49	∨	∨	NUM
ejpam-5527	211	50	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	211	51	)	)	PUNCT
ejpam-5527	211	52	>	>	X
ejpam-5527	212	1	φ	φ	PROPN
ejpam-5527	212	2	2	2	NUM
ejpam-5527	212	3	−	−	PROPN
ejpam-5527	212	4	φ⋇	φ⋇	PROPN
ejpam-5527	212	5	2	2	NUM
ejpam-5527	212	6	and	and	CCONJ
ejpam-5527	212	7	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	212	8	≬	≬	PROPN
ejpam-5527	212	9	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	212	10	)	)	PUNCT
ejpam-5527	212	11	≬	≬	PROPN
ejpam-5527	212	12	ϱ̌2)∧	ϱ̌2)∧	NOUN
ejpam-5527	212	13	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	212	14	)	)	PUNCT
ejpam-5527	212	15	<	<	X
ejpam-5527	212	16	−φ	−φ	NOUN
ejpam-5527	212	17	2	2	NUM
ejpam-5527	212	18	+	+	CCONJ
ejpam-5527	212	19	φ⋇	φ⋇	PROPN
ejpam-5527	212	20	2	2	NUM
ejpam-5527	212	21	.	.	PUNCT
ejpam-5527	213	1	then	then	ADV
ejpam-5527	213	2	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	213	3	≬	≬	PROPN
ejpam-5527	213	4	(	(	PUNCT
ejpam-5527	213	5	ϱ̌1	ϱ̌1	NUM
ejpam-5527	213	6	≬	≬	PROPN
ejpam-5527	213	7	(	(	PUNCT
ejpam-5527	213	8	ϱ̌1	ϱ̌1	X
ejpam-5527	213	9	≬	≬	PROPN
ejpam-5527	213	10	ϱ̌0	ϱ̌0	NUM
ejpam-5527	213	11	)	)	PUNCT
ejpam-5527	213	12	)	)	PUNCT
ejpam-5527	213	13	)	)	PUNCT
ejpam-5527	214	1	≤	≤	NOUN
ejpam-5527	214	2	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	214	3	≬	≬	PROPN
ejpam-5527	214	4	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	214	5	)	)	PUNCT
ejpam-5527	214	6	≬	≬	PROPN
ejpam-5527	214	7	ϱ̌2)∨	ϱ̌2)∨	ADJ
ejpam-5527	214	8	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	214	9	)	)	PUNCT
ejpam-5527	214	10	and	and	CCONJ
ejpam-5527	214	11	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	214	12	≬	≬	PROPN
ejpam-5527	214	13	(	(	PUNCT
ejpam-5527	214	14	ϱ̌1	ϱ̌1	NUM
ejpam-5527	214	15	≬	≬	PROPN
ejpam-5527	214	16	(	(	PUNCT
ejpam-5527	214	17	ϱ̌1	ϱ̌1	X
ejpam-5527	214	18	≬	≬	PROPN
ejpam-5527	214	19	ϱ̌0	ϱ̌0	NUM
ejpam-5527	214	20	)	)	PUNCT
ejpam-5527	214	21	)	)	PUNCT
ejpam-5527	214	22	)	)	PUNCT
ejpam-5527	214	23	≥	≥	X
ejpam-5527	215	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	215	2	≬	≬	PROPN
ejpam-5527	215	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	215	4	)	)	PUNCT
ejpam-5527	215	5	≬	≬	PROPN
ejpam-5527	215	6	ϱ̌2	ϱ̌2	PART
ejpam-5527	215	7	)	)	PUNCT
ejpam-5527	215	8	∧	∧	NOUN
ejpam-5527	215	9	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	215	10	)	)	PUNCT
ejpam-5527	215	11	.	.	PUNCT
ejpam-5527	216	1	if	if	SCONJ
ejpam-5527	216	2	not	not	PART
ejpam-5527	216	3	,	,	PUNCT
ejpam-5527	216	4	then	then	ADV
ejpam-5527	216	5	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	216	6	≬	≬	PROPN
ejpam-5527	216	7	(	(	PUNCT
ejpam-5527	216	8	ϱ̌1	ϱ̌1	NUM
ejpam-5527	216	9	≬	≬	PROPN
ejpam-5527	216	10	(	(	PUNCT
ejpam-5527	216	11	ϱ̌1	ϱ̌1	X
ejpam-5527	216	12	≬	≬	PROPN
ejpam-5527	216	13	ϱ̌0	ϱ̌0	NUM
ejpam-5527	216	14	)	)	PUNCT
ejpam-5527	216	15	)	)	PUNCT
ejpam-5527	216	16	)	)	PUNCT
ejpam-5527	216	17	>	>	X
ejpam-5527	217	1	š	š	X
ejpam-5527	217	2	>	>	SYM
ejpam-5527	217	3	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	NOUN
ejpam-5527	217	4	≬	≬	PROPN
ejpam-5527	217	5	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	217	6	)	)	PUNCT
ejpam-5527	217	7	≬	≬	PROPN
ejpam-5527	217	8	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	217	9	)	)	PUNCT
ejpam-5527	217	10	∨	∨	NUM
ejpam-5527	217	11	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	217	12	)	)	PUNCT
ejpam-5527	217	13	and	and	CCONJ
ejpam-5527	217	14	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	217	15	≬	≬	PROPN
ejpam-5527	217	16	(	(	PUNCT
ejpam-5527	217	17	ϱ̌1	ϱ̌1	NUM
ejpam-5527	217	18	≬	≬	PROPN
ejpam-5527	217	19	(	(	PUNCT
ejpam-5527	217	20	ϱ̌1	ϱ̌1	X
ejpam-5527	217	21	≬	≬	PROPN
ejpam-5527	217	22	ϱ̌0	ϱ̌0	NUM
ejpam-5527	217	23	)	)	PUNCT
ejpam-5527	217	24	)	)	PUNCT
ejpam-5527	217	25	)	)	PUNCT
ejpam-5527	218	1	<	<	X
ejpam-5527	218	2	ǔ	ǔ	X
ejpam-5527	218	3	<	<	X
ejpam-5527	218	4	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	218	5	≬	≬	PROPN
ejpam-5527	218	6	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	218	7	)	)	PUNCT
ejpam-5527	218	8	≬	≬	PROPN
ejpam-5527	218	9	ϱ̌2	ϱ̌2	PART
ejpam-5527	218	10	)	)	PUNCT
ejpam-5527	218	11	∧	∧	PROPN
ejpam-5527	218	12	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	218	13	)	)	PUNCT
ejpam-5527	218	14	,	,	PUNCT
ejpam-5527	218	15	for	for	ADP
ejpam-5527	218	16	some	some	DET
ejpam-5527	218	17	š	š	NUM
ejpam-5527	218	18	∈	∈	NOUN
ejpam-5527	218	19	(	(	PUNCT
ejpam-5527	218	20	φ2	φ2	PROPN
ejpam-5527	218	21	−	−	PROPN
ejpam-5527	218	22	φ⋇	φ⋇	PROPN
ejpam-5527	218	23	2	2	NUM
ejpam-5527	218	24	,	,	PUNCT
ejpam-5527	218	25	0	0	NUM
ejpam-5527	218	26	)	)	PUNCT
ejpam-5527	218	27	,	,	PUNCT
ejpam-5527	218	28	ǔ	ǔ	PROPN
ejpam-5527	218	29	∈	∈	PROPN
ejpam-5527	218	30	(	(	PUNCT
ejpam-5527	218	31	0,−φ	0,−φ	NOUN
ejpam-5527	218	32	2	2	NUM
ejpam-5527	218	33	+	+	CCONJ
ejpam-5527	218	34	φ⋇	φ⋇	PROPN
ejpam-5527	218	35	2	2	NUM
ejpam-5527	218	36	)	)	PUNCT
ejpam-5527	218	37	.	.	PUNCT
ejpam-5527	219	1	k.	k.	PROPN
ejpam-5527	219	2	h.	h.	PROPN
ejpam-5527	219	3	hakami	hakami	PROPN
ejpam-5527	219	4	et	et	PROPN
ejpam-5527	219	5	al	al	PROPN
ejpam-5527	219	6	.	.	PUNCT
ejpam-5527	219	7	/	/	SYM
ejpam-5527	219	8	eur	eur	PROPN
ejpam-5527	219	9	.	.	PUNCT
ejpam-5527	220	1	j.	j.	PROPN
ejpam-5527	220	2	pure	pure	PROPN
ejpam-5527	220	3	appl	appl	PROPN
ejpam-5527	220	4	.	.	PROPN
ejpam-5527	220	5	math	math	PROPN
ejpam-5527	220	6	,	,	PUNCT
ejpam-5527	220	7	17	17	NUM
ejpam-5527	220	8	(	(	PUNCT
ejpam-5527	220	9	4	4	NUM
ejpam-5527	220	10	)	)	PUNCT
ejpam-5527	220	11	(	(	PUNCT
ejpam-5527	220	12	2024	2024	NUM
ejpam-5527	220	13	)	)	PUNCT
ejpam-5527	220	14	,	,	PUNCT
ejpam-5527	220	15	3973	3973	NUM
ejpam-5527	220	16	-	-	SYM
ejpam-5527	220	17	3993	3993	NUM
ejpam-5527	220	18	3981	3981	NUM
ejpam-5527	220	19	it	it	PRON
ejpam-5527	220	20	follows	follow	VERB
ejpam-5527	220	21	that	that	SCONJ
ejpam-5527	220	22	(	(	PUNCT
ejpam-5527	220	23	(	(	PUNCT
ejpam-5527	220	24	ϱ̌0	ϱ̌0	NUM
ejpam-5527	220	25	≬	≬	PROPN
ejpam-5527	220	26	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	220	27	)	)	PUNCT
ejpam-5527	220	28	≬	≬	PROPN
ejpam-5527	220	29	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	220	30	,	,	PUNCT
ejpam-5527	220	31	š	š	SYM
ejpam-5527	220	32	)	)	PUNCT
ejpam-5527	220	33	∈	∈	PROPN
ejpam-5527	220	34	ζ̄−	ζ̄−	NOUN
ejpam-5527	220	35	and	and	CCONJ
ejpam-5527	220	36	(	(	PUNCT
ejpam-5527	220	37	ϱ̌2	ϱ̌2	NUM
ejpam-5527	220	38	,	,	PUNCT
ejpam-5527	220	39	š	š	NOUN
ejpam-5527	220	40	)	)	PUNCT
ejpam-5527	220	41	∈	∈	PROPN
ejpam-5527	220	42	ζ̄−	ζ̄−	NOUN
ejpam-5527	220	43	but	but	CCONJ
ejpam-5527	220	44	(	(	PUNCT
ejpam-5527	220	45	ϱ̌0	ϱ̌0	NUM
ejpam-5527	220	46	≬	≬	PROPN
ejpam-5527	220	47	(	(	PUNCT
ejpam-5527	220	48	ϱ̌1	ϱ̌1	NUM
ejpam-5527	220	49	≬	≬	PROPN
ejpam-5527	220	50	(	(	PUNCT
ejpam-5527	220	51	ϱ̌1	ϱ̌1	X
ejpam-5527	220	52	≬	≬	PROPN
ejpam-5527	220	53	ϱ̌0	ϱ̌0	NUM
ejpam-5527	220	54	)	)	PUNCT
ejpam-5527	220	55	)	)	PUNCT
ejpam-5527	220	56	,	,	PUNCT
ejpam-5527	220	57	š∨š	š∨š	NOUN
ejpam-5527	220	58	)	)	PUNCT
ejpam-5527	220	59	=	=	SYM
ejpam-5527	220	60	(	(	PUNCT
ejpam-5527	220	61	ϱ̌0	ϱ̌0	NUM
ejpam-5527	220	62	≬	≬	PROPN
ejpam-5527	220	63	(	(	PUNCT
ejpam-5527	220	64	ϱ̌1	ϱ̌1	NUM
ejpam-5527	220	65	≬	≬	PROPN
ejpam-5527	220	66	(	(	PUNCT
ejpam-5527	220	67	ϱ̌1	ϱ̌1	X
ejpam-5527	220	68	≬	≬	PROPN
ejpam-5527	220	69	ϱ̌0	ϱ̌0	NUM
ejpam-5527	220	70	)	)	PUNCT
ejpam-5527	220	71	)	)	PUNCT
ejpam-5527	220	72	,	,	PUNCT
ejpam-5527	220	73	š	š	X
ejpam-5527	220	74	)	)	PUNCT
ejpam-5527	220	75	∈	∈	PROPN
ejpam-5527	220	76	∨q̌φζ̄−	∨q̌φζ̄−	PROPN
ejpam-5527	220	77	and	and	CCONJ
ejpam-5527	220	78	(	(	PUNCT
ejpam-5527	220	79	(	(	PUNCT
ejpam-5527	220	80	ϱ̌0	ϱ̌0	NUM
ejpam-5527	220	81	≬	≬	PROPN
ejpam-5527	220	82	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	220	83	)	)	PUNCT
ejpam-5527	220	84	≬	≬	PROPN
ejpam-5527	220	85	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	220	86	,	,	PUNCT
ejpam-5527	220	87	ǔ	ǔ	SYM
ejpam-5527	220	88	)	)	PUNCT
ejpam-5527	220	89	∈	∈	PROPN
ejpam-5527	220	90	ζ̄+	ζ̄+	PUNCT
ejpam-5527	220	91	and	and	CCONJ
ejpam-5527	220	92	(	(	PUNCT
ejpam-5527	220	93	ϱ̌2	ϱ̌2	NUM
ejpam-5527	220	94	,	,	PUNCT
ejpam-5527	220	95	ǔ	ǔ	SYM
ejpam-5527	220	96	)	)	PUNCT
ejpam-5527	220	97	∈	∈	PROPN
ejpam-5527	220	98	ζ̄+	ζ̄+	PUNCT
ejpam-5527	220	99	but	but	CCONJ
ejpam-5527	220	100	(	(	PUNCT
ejpam-5527	220	101	ϱ̌0	ϱ̌0	NUM
ejpam-5527	220	102	≬	≬	PROPN
ejpam-5527	220	103	(	(	PUNCT
ejpam-5527	220	104	ϱ̌1	ϱ̌1	NUM
ejpam-5527	220	105	≬	≬	PROPN
ejpam-5527	220	106	(	(	PUNCT
ejpam-5527	220	107	ϱ̌1	ϱ̌1	X
ejpam-5527	220	108	≬	≬	PROPN
ejpam-5527	220	109	ϱ̌0	ϱ̌0	NUM
ejpam-5527	220	110	)	)	PUNCT
ejpam-5527	220	111	)	)	PUNCT
ejpam-5527	220	112	,	,	PUNCT
ejpam-5527	220	113	ǔ	ǔ	PROPN
ejpam-5527	220	114	∨	∨	NUM
ejpam-5527	220	115	ǔ	ǔ	PRON
ejpam-5527	220	116	)	)	PUNCT
ejpam-5527	220	117	=	=	SYM
ejpam-5527	220	118	(	(	PUNCT
ejpam-5527	220	119	ϱ̌0	ϱ̌0	NUM
ejpam-5527	220	120	≬	≬	PROPN
ejpam-5527	220	121	(	(	PUNCT
ejpam-5527	220	122	ϱ̌1	ϱ̌1	NUM
ejpam-5527	220	123	≬	≬	PROPN
ejpam-5527	220	124	(	(	PUNCT
ejpam-5527	220	125	ϱ̌1	ϱ̌1	X
ejpam-5527	220	126	≬	≬	PROPN
ejpam-5527	220	127	ϱ̌0	ϱ̌0	NUM
ejpam-5527	220	128	)	)	PUNCT
ejpam-5527	220	129	)	)	PUNCT
ejpam-5527	220	130	,	,	PUNCT
ejpam-5527	220	131	ǔ	ǔ	SYM
ejpam-5527	220	132	)	)	PUNCT
ejpam-5527	220	133	∈	∈	PROPN
ejpam-5527	220	134	∨q̌φζ̄+	∨q̌φζ̄+	NOUN
ejpam-5527	220	135	which	which	PRON
ejpam-5527	220	136	is	be	AUX
ejpam-5527	220	137	a	a	DET
ejpam-5527	220	138	contradiction	contradiction	NOUN
ejpam-5527	220	139	.	.	PUNCT
ejpam-5527	221	1	hence	hence	ADV
ejpam-5527	221	2	,	,	PUNCT
ejpam-5527	221	3	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	221	4	≬	≬	PROPN
ejpam-5527	221	5	(	(	PUNCT
ejpam-5527	221	6	ϱ̌1	ϱ̌1	NUM
ejpam-5527	221	7	≬	≬	PROPN
ejpam-5527	221	8	(	(	PUNCT
ejpam-5527	221	9	ϱ̌1	ϱ̌1	X
ejpam-5527	221	10	≬	≬	PROPN
ejpam-5527	221	11	ϱ̌0	ϱ̌0	NUM
ejpam-5527	221	12	)	)	PUNCT
ejpam-5527	221	13	)	)	PUNCT
ejpam-5527	221	14	)	)	PUNCT
ejpam-5527	221	15	≤	≤	NOUN
ejpam-5527	221	16	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	221	17	≬	≬	PROPN
ejpam-5527	221	18	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	221	19	)	)	PUNCT
ejpam-5527	221	20	≬	≬	PROPN
ejpam-5527	221	21	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	221	22	)	)	PUNCT
ejpam-5527	221	23	∨	∨	NUM
ejpam-5527	221	24	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	221	25	)	)	PUNCT
ejpam-5527	221	26	whenever	whenever	SCONJ
ejpam-5527	221	27	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	221	28	≬	≬	PROPN
ejpam-5527	221	29	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	221	30	)	)	PUNCT
ejpam-5527	221	31	≬	≬	PROPN
ejpam-5527	221	32	ϱ̌2)∨	ϱ̌2)∨	ADJ
ejpam-5527	221	33	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	221	34	)	)	PUNCT
ejpam-5527	221	35	>	>	X
ejpam-5527	222	1	φ	φ	PROPN
ejpam-5527	222	2	2	2	NUM
ejpam-5527	222	3	−	−	PROPN
ejpam-5527	222	4	φ⋇	φ⋇	PROPN
ejpam-5527	222	5	2	2	NUM
ejpam-5527	222	6	and	and	CCONJ
ejpam-5527	222	7	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	222	8	≬	≬	PROPN
ejpam-5527	222	9	(	(	PUNCT
ejpam-5527	222	10	ϱ̌1	ϱ̌1	NUM
ejpam-5527	222	11	≬	≬	PROPN
ejpam-5527	222	12	(	(	PUNCT
ejpam-5527	222	13	ϱ̌1	ϱ̌1	X
ejpam-5527	222	14	≬	≬	PROPN
ejpam-5527	222	15	ϱ̌0	ϱ̌0	NUM
ejpam-5527	222	16	)	)	PUNCT
ejpam-5527	222	17	)	)	PUNCT
ejpam-5527	222	18	)	)	PUNCT
ejpam-5527	223	1	≥	≥	X
ejpam-5527	224	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	224	2	≬	≬	PROPN
ejpam-5527	224	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	224	4	)	)	PUNCT
ejpam-5527	224	5	≬	≬	PROPN
ejpam-5527	224	6	ϱ̌2)∧	ϱ̌2)∧	NOUN
ejpam-5527	224	7	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	224	8	)	)	PUNCT
ejpam-5527	224	9	whenever	whenever	SCONJ
ejpam-5527	224	10	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	224	11	≬	≬	PROPN
ejpam-5527	224	12	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	224	13	)	)	PUNCT
ejpam-5527	224	14	≬	≬	PROPN
ejpam-5527	224	15	ϱ̌2	ϱ̌2	PART
ejpam-5527	224	16	)	)	PUNCT
ejpam-5527	224	17	∧	∧	PROPN
ejpam-5527	224	18	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	224	19	)	)	PUNCT
ejpam-5527	224	20	<	<	X
ejpam-5527	224	21	−φ	−φ	NOUN
ejpam-5527	224	22	2	2	NUM
ejpam-5527	224	23	+	+	CCONJ
ejpam-5527	224	24	φ⋇	φ⋇	PROPN
ejpam-5527	224	25	2	2	NUM
ejpam-5527	224	26	.	.	PUNCT
ejpam-5527	225	1	if	if	SCONJ
ejpam-5527	225	2	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	225	3	≬	≬	PROPN
ejpam-5527	225	4	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	225	5	)	)	PUNCT
ejpam-5527	225	6	≬	≬	PROPN
ejpam-5527	225	7	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	225	8	)	)	PUNCT
ejpam-5527	225	9	∨	∨	NUM
ejpam-5527	225	10	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	225	11	)	)	PUNCT
ejpam-5527	225	12	≤	≤	NUM
ejpam-5527	225	13	φ	φ	NUM
ejpam-5527	225	14	2	2	NUM
ejpam-5527	225	15	−	−	PROPN
ejpam-5527	225	16	φ⋇	φ⋇	PROPN
ejpam-5527	225	17	2	2	NUM
ejpam-5527	225	18	,	,	PUNCT
ejpam-5527	225	19	then	then	ADV
ejpam-5527	225	20	(	(	PUNCT
ejpam-5527	225	21	(	(	PUNCT
ejpam-5527	225	22	ϱ̌0	ϱ̌0	NUM
ejpam-5527	225	23	≬	≬	PROPN
ejpam-5527	225	24	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	225	25	)	)	PUNCT
ejpam-5527	225	26	≬	≬	PROPN
ejpam-5527	225	27	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	225	28	,	,	PUNCT
ejpam-5527	225	29	φ	φ	PROPN
ejpam-5527	225	30	2	2	NUM
ejpam-5527	225	31	−	−	PROPN
ejpam-5527	225	32	φ⋇	φ⋇	PROPN
ejpam-5527	225	33	2	2	NUM
ejpam-5527	225	34	)	)	PUNCT
ejpam-5527	225	35	∈	∈	PROPN
ejpam-5527	225	36	ζ̄−	ζ̄−	NOUN
ejpam-5527	225	37	and	and	CCONJ
ejpam-5527	225	38	(	(	PUNCT
ejpam-5527	225	39	ϱ̌2	ϱ̌2	NUM
ejpam-5527	225	40	,	,	PUNCT
ejpam-5527	225	41	φ	φ	PROPN
ejpam-5527	225	42	2	2	NUM
ejpam-5527	225	43	−	−	PROPN
ejpam-5527	225	44	φ⋇	φ⋇	PROPN
ejpam-5527	225	45	2	2	NUM
ejpam-5527	225	46	)	)	PUNCT
ejpam-5527	225	47	∈	∈	PROPN
ejpam-5527	225	48	ζ̄−	ζ̄−	PROPN
ejpam-5527	225	49	,	,	PUNCT
ejpam-5527	225	50	which	which	PRON
ejpam-5527	225	51	imply	imply	VERB
ejpam-5527	225	52	that	that	PRON
ejpam-5527	225	53	(	(	PUNCT
ejpam-5527	225	54	ϱ̌0	ϱ̌0	NUM
ejpam-5527	225	55	≬	≬	PROPN
ejpam-5527	225	56	(	(	PUNCT
ejpam-5527	225	57	ϱ̌1	ϱ̌1	NUM
ejpam-5527	225	58	≬	≬	PROPN
ejpam-5527	225	59	(	(	PUNCT
ejpam-5527	225	60	ϱ̌1	ϱ̌1	X
ejpam-5527	225	61	≬	≬	PROPN
ejpam-5527	225	62	ϱ̌0	ϱ̌0	NUM
ejpam-5527	225	63	)	)	PUNCT
ejpam-5527	225	64	)	)	PUNCT
ejpam-5527	225	65	,	,	PUNCT
ejpam-5527	225	66	φ	φ	PROPN
ejpam-5527	225	67	2	2	NUM
ejpam-5527	225	68	−	−	PROPN
ejpam-5527	225	69	φ⋇	φ⋇	PROPN
ejpam-5527	225	70	2	2	NUM
ejpam-5527	225	71	)	)	PUNCT
ejpam-5527	225	72	=	=	SYM
ejpam-5527	225	73	(	(	PUNCT
ejpam-5527	225	74	ϱ̌0	ϱ̌0	NUM
ejpam-5527	226	1	≬	≬	PROPN
ejpam-5527	226	2	(	(	PUNCT
ejpam-5527	226	3	ϱ̌1	ϱ̌1	NUM
ejpam-5527	226	4	≬	≬	PROPN
ejpam-5527	226	5	(	(	PUNCT
ejpam-5527	226	6	ϱ̌1	ϱ̌1	X
ejpam-5527	226	7	≬	≬	PROPN
ejpam-5527	226	8	ϱ̌0	ϱ̌0	NUM
ejpam-5527	226	9	)	)	PUNCT
ejpam-5527	226	10	)	)	PUNCT
ejpam-5527	226	11	,	,	PUNCT
ejpam-5527	226	12	φ	φ	PROPN
ejpam-5527	226	13	2	2	NUM
ejpam-5527	226	14	−	−	PROPN
ejpam-5527	226	15	φ⋇	φ⋇	PROPN
ejpam-5527	226	16	2	2	NUM
ejpam-5527	226	17	)	)	PUNCT
ejpam-5527	226	18	∨	∨	NUM
ejpam-5527	226	19	φ	φ	X
ejpam-5527	226	20	2	2	NUM
ejpam-5527	226	21	−	−	PROPN
ejpam-5527	226	22	φ⋇	φ⋇	PROPN
ejpam-5527	226	23	2	2	NUM
ejpam-5527	226	24	)	)	PUNCT
ejpam-5527	226	25	∈	∈	PROPN
ejpam-5527	226	26	∨q̌φζ̄−	∨q̌φζ̄−	PROPN
ejpam-5527	226	27	and	and	CCONJ
ejpam-5527	226	28	if	if	SCONJ
ejpam-5527	226	29	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	226	30	≬	≬	PROPN
ejpam-5527	226	31	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	226	32	)	)	PUNCT
ejpam-5527	226	33	≬	≬	PROPN
ejpam-5527	226	34	ϱ̌2	ϱ̌2	PART
ejpam-5527	226	35	)	)	PUNCT
ejpam-5527	226	36	∧	∧	PROPN
ejpam-5527	226	37	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	226	38	)	)	PUNCT
ejpam-5527	226	39	≥	≥	NOUN
ejpam-5527	226	40	φ	φ	NUM
ejpam-5527	226	41	2	2	NUM
ejpam-5527	226	42	−	−	PROPN
ejpam-5527	226	43	φ⋇	φ⋇	PROPN
ejpam-5527	226	44	2	2	NUM
ejpam-5527	226	45	,	,	PUNCT
ejpam-5527	226	46	then	then	ADV
ejpam-5527	226	47	(	(	PUNCT
ejpam-5527	226	48	(	(	PUNCT
ejpam-5527	226	49	ϱ̌0	ϱ̌0	NUM
ejpam-5527	226	50	≬	≬	PROPN
ejpam-5527	226	51	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	226	52	)	)	PUNCT
ejpam-5527	226	53	≬	≬	PROPN
ejpam-5527	226	54	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	226	55	,	,	PUNCT
ejpam-5527	226	56	φ	φ	PROPN
ejpam-5527	226	57	2	2	NUM
ejpam-5527	226	58	−	−	PROPN
ejpam-5527	226	59	φ⋇	φ⋇	PROPN
ejpam-5527	226	60	2	2	NUM
ejpam-5527	226	61	)	)	PUNCT
ejpam-5527	226	62	∈	∈	PROPN
ejpam-5527	226	63	ζ̄+	ζ̄+	PUNCT
ejpam-5527	226	64	and	and	CCONJ
ejpam-5527	226	65	(	(	PUNCT
ejpam-5527	226	66	ϱ̌2,−φ	ϱ̌2,−φ	NOUN
ejpam-5527	226	67	2	2	NUM
ejpam-5527	226	68	+	+	NUM
ejpam-5527	226	69	φ⋇	φ⋇	PROPN
ejpam-5527	226	70	2	2	NUM
ejpam-5527	226	71	)	)	PUNCT
ejpam-5527	226	72	∈	∈	PROPN
ejpam-5527	226	73	ζ̄+	ζ̄+	NOUN
ejpam-5527	226	74	,	,	PUNCT
ejpam-5527	226	75	which	which	PRON
ejpam-5527	226	76	imply	imply	VERB
ejpam-5527	226	77	that	that	PRON
ejpam-5527	226	78	(	(	PUNCT
ejpam-5527	226	79	ϱ̌0	ϱ̌0	NUM
ejpam-5527	226	80	≬	≬	PROPN
ejpam-5527	226	81	(	(	PUNCT
ejpam-5527	226	82	ϱ̌1	ϱ̌1	NUM
ejpam-5527	226	83	≬	≬	PROPN
ejpam-5527	226	84	(	(	PUNCT
ejpam-5527	226	85	ϱ̌1	ϱ̌1	X
ejpam-5527	226	86	≬	≬	PROPN
ejpam-5527	226	87	ϱ̌0)),−φ	ϱ̌0)),−φ	PROPN
ejpam-5527	226	88	2	2	NUM
ejpam-5527	226	89	+	+	CCONJ
ejpam-5527	226	90	φ⋇	φ⋇	PROPN
ejpam-5527	226	91	2	2	NUM
ejpam-5527	226	92	)	)	PUNCT
ejpam-5527	226	93	=	=	SYM
ejpam-5527	226	94	(	(	PUNCT
ejpam-5527	226	95	ϱ̌0	ϱ̌0	NUM
ejpam-5527	226	96	≬	≬	PROPN
ejpam-5527	226	97	(	(	PUNCT
ejpam-5527	226	98	ϱ̌1	ϱ̌1	NUM
ejpam-5527	226	99	≬	≬	PROPN
ejpam-5527	226	100	(	(	PUNCT
ejpam-5527	226	101	ϱ̌1	ϱ̌1	X
ejpam-5527	226	102	≬	≬	PROPN
ejpam-5527	226	103	ϱ̌0)),−φ	ϱ̌0)),−φ	PROPN
ejpam-5527	226	104	2	2	NUM
ejpam-5527	226	105	+	+	CCONJ
ejpam-5527	226	106	φ⋇	φ⋇	PROPN
ejpam-5527	226	107	2	2	NUM
ejpam-5527	226	108	)	)	PUNCT
ejpam-5527	226	109	∧	∧	PROPN
ejpam-5527	226	110	(	(	PUNCT
ejpam-5527	226	111	−φ	−φ	NOUN
ejpam-5527	226	112	2	2	NUM
ejpam-5527	226	113	+	+	CCONJ
ejpam-5527	226	114	φ⋇	φ⋇	PROPN
ejpam-5527	226	115	2	2	NUM
ejpam-5527	226	116	)	)	PUNCT
ejpam-5527	226	117	∈	∈	PROPN
ejpam-5527	226	118	∨q̌φζ̄+	∨q̌φζ̄+	NOUN
ejpam-5527	226	119	.	.	PUNCT
ejpam-5527	227	1	therefore	therefore	ADV
ejpam-5527	227	2	,	,	PUNCT
ejpam-5527	227	3	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	227	4	≬	≬	PROPN
ejpam-5527	227	5	(	(	PUNCT
ejpam-5527	227	6	ϱ̌1	ϱ̌1	NUM
ejpam-5527	227	7	≬	≬	PROPN
ejpam-5527	227	8	(	(	PUNCT
ejpam-5527	227	9	ϱ̌1	ϱ̌1	X
ejpam-5527	227	10	≬	≬	PROPN
ejpam-5527	227	11	ϱ̌0	ϱ̌0	NUM
ejpam-5527	227	12	)	)	PUNCT
ejpam-5527	227	13	)	)	PUNCT
ejpam-5527	227	14	)	)	PUNCT
ejpam-5527	228	1	≤	≤	NUM
ejpam-5527	228	2	φ	φ	NUM
ejpam-5527	228	3	2	2	NUM
ejpam-5527	228	4	−	−	PROPN
ejpam-5527	228	5	φ⋇	φ⋇	PROPN
ejpam-5527	228	6	2	2	NUM
ejpam-5527	228	7	and	and	CCONJ
ejpam-5527	228	8	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	228	9	≬	≬	PROPN
ejpam-5527	228	10	(	(	PUNCT
ejpam-5527	228	11	ϱ̌1	ϱ̌1	NUM
ejpam-5527	228	12	≬	≬	PROPN
ejpam-5527	228	13	(	(	PUNCT
ejpam-5527	228	14	ϱ̌1	ϱ̌1	X
ejpam-5527	228	15	≬	≬	PROPN
ejpam-5527	228	16	ϱ̌0	ϱ̌0	NUM
ejpam-5527	228	17	)	)	PUNCT
ejpam-5527	228	18	)	)	PUNCT
ejpam-5527	228	19	)	)	PUNCT
ejpam-5527	229	1	≥	≥	NOUN
ejpam-5527	229	2	−φ	−φ	NOUN
ejpam-5527	229	3	2	2	NUM
ejpam-5527	229	4	+	+	CCONJ
ejpam-5527	229	5	φ⋇	φ⋇	PROPN
ejpam-5527	229	6	2	2	NUM
ejpam-5527	229	7	,	,	PUNCT
ejpam-5527	229	8	because	because	SCONJ
ejpam-5527	229	9	if	if	SCONJ
ejpam-5527	229	10	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	229	11	≬	≬	PROPN
ejpam-5527	229	12	(	(	PUNCT
ejpam-5527	229	13	ϱ̌1	ϱ̌1	NUM
ejpam-5527	229	14	≬	≬	PROPN
ejpam-5527	229	15	(	(	PUNCT
ejpam-5527	229	16	ϱ̌1	ϱ̌1	X
ejpam-5527	229	17	≬	≬	PROPN
ejpam-5527	229	18	ϱ̌0	ϱ̌0	NUM
ejpam-5527	229	19	)	)	PUNCT
ejpam-5527	229	20	)	)	PUNCT
ejpam-5527	229	21	)	)	PUNCT
ejpam-5527	229	22	>	>	X
ejpam-5527	230	1	φ	φ	PROPN
ejpam-5527	230	2	2	2	NUM
ejpam-5527	230	3	−	−	PROPN
ejpam-5527	230	4	φ⋇	φ⋇	PROPN
ejpam-5527	230	5	2	2	NUM
ejpam-5527	230	6	and	and	CCONJ
ejpam-5527	230	7	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	230	8	≬	≬	PROPN
ejpam-5527	230	9	(	(	PUNCT
ejpam-5527	230	10	ϱ̌1	ϱ̌1	NUM
ejpam-5527	230	11	≬	≬	PROPN
ejpam-5527	230	12	(	(	PUNCT
ejpam-5527	230	13	ϱ̌1	ϱ̌1	X
ejpam-5527	230	14	≬	≬	PROPN
ejpam-5527	230	15	ϱ̌0	ϱ̌0	NUM
ejpam-5527	230	16	)	)	PUNCT
ejpam-5527	230	17	)	)	PUNCT
ejpam-5527	230	18	)	)	PUNCT
ejpam-5527	231	1	<	<	X
ejpam-5527	231	2	−φ	−φ	NOUN
ejpam-5527	231	3	2	2	NUM
ejpam-5527	231	4	+	+	CCONJ
ejpam-5527	231	5	φ⋇	φ⋇	PROPN
ejpam-5527	231	6	2	2	NUM
ejpam-5527	231	7	,	,	PUNCT
ejpam-5527	231	8	then	then	ADV
ejpam-5527	231	9	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	231	10	≬	≬	PROPN
ejpam-5527	231	11	(	(	PUNCT
ejpam-5527	231	12	ϱ̌1	ϱ̌1	NUM
ejpam-5527	231	13	≬	≬	PROPN
ejpam-5527	231	14	(	(	PUNCT
ejpam-5527	231	15	ϱ̌1	ϱ̌1	X
ejpam-5527	231	16	≬	≬	PROPN
ejpam-5527	231	17	ϱ̌0	ϱ̌0	NUM
ejpam-5527	231	18	)	)	PUNCT
ejpam-5527	231	19	)	)	PUNCT
ejpam-5527	231	20	)	)	PUNCT
ejpam-5527	232	1	+	+	CCONJ
ejpam-5527	232	2	φ	φ	NUM
ejpam-5527	232	3	2	2	NUM
ejpam-5527	232	4	−	−	PROPN
ejpam-5527	232	5	φ⋇	φ⋇	PROPN
ejpam-5527	232	6	2	2	NUM
ejpam-5527	232	7	>	>	SYM
ejpam-5527	232	8	φ	φ	PROPN
ejpam-5527	232	9	2	2	NUM
ejpam-5527	232	10	−	−	PROPN
ejpam-5527	232	11	φ⋇	φ⋇	PROPN
ejpam-5527	232	12	2	2	NUM
ejpam-5527	232	13	+	+	CCONJ
ejpam-5527	232	14	φ	φ	PROPN
ejpam-5527	232	15	2	2	NUM
ejpam-5527	232	16	−	−	PROPN
ejpam-5527	232	17	φ⋇	φ⋇	PROPN
ejpam-5527	232	18	2	2	NUM
ejpam-5527	232	19	=	=	SYM
ejpam-5527	232	20	φ	φ	PROPN
ejpam-5527	232	21	−	−	PROPN
ejpam-5527	232	22	φ⋇	φ⋇	PROPN
ejpam-5527	232	23	and	and	CCONJ
ejpam-5527	232	24	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	232	25	≬	≬	PROPN
ejpam-5527	232	26	(	(	PUNCT
ejpam-5527	232	27	ϱ̌1	ϱ̌1	NUM
ejpam-5527	232	28	≬	≬	PROPN
ejpam-5527	232	29	(	(	PUNCT
ejpam-5527	232	30	ϱ̌1	ϱ̌1	X
ejpam-5527	232	31	≬	≬	PROPN
ejpam-5527	232	32	ϱ̌0)))−	ϱ̌0)))−	NUM
ejpam-5527	232	33	φ	φ	NOUN
ejpam-5527	232	34	2	2	NUM
ejpam-5527	233	1	+	+	CCONJ
ejpam-5527	233	2	φ⋇	φ⋇	PROPN
ejpam-5527	233	3	2	2	NUM
ejpam-5527	233	4	<	<	X
ejpam-5527	233	5	−φ	−φ	NOUN
ejpam-5527	233	6	2	2	NUM
ejpam-5527	233	7	+	+	CCONJ
ejpam-5527	233	8	φ⋇	φ⋇	PROPN
ejpam-5527	233	9	2	2	NUM
ejpam-5527	233	10	−	−	PROPN
ejpam-5527	233	11	φ	φ	NUM
ejpam-5527	233	12	2	2	NUM
ejpam-5527	233	13	+	+	CCONJ
ejpam-5527	233	14	φ⋇	φ⋇	PROPN
ejpam-5527	233	15	2	2	NUM
ejpam-5527	233	16	=	=	SYM
ejpam-5527	233	17	−φ+	−φ+	NOUN
ejpam-5527	233	18	φ⋇	φ⋇	PROPN
ejpam-5527	233	19	,	,	PUNCT
ejpam-5527	233	20	which	which	PRON
ejpam-5527	233	21	is	be	AUX
ejpam-5527	233	22	a	a	DET
ejpam-5527	233	23	contradiction	contradiction	NOUN
ejpam-5527	233	24	.	.	PUNCT
ejpam-5527	234	1	hence	hence	ADV
ejpam-5527	234	2	,	,	PUNCT
ejpam-5527	234	3	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	234	4	≬	≬	PROPN
ejpam-5527	234	5	(	(	PUNCT
ejpam-5527	234	6	ϱ̌1	ϱ̌1	NUM
ejpam-5527	234	7	≬	≬	PROPN
ejpam-5527	234	8	(	(	PUNCT
ejpam-5527	234	9	ϱ̌1	ϱ̌1	X
ejpam-5527	234	10	≬	≬	PROPN
ejpam-5527	234	11	ϱ̌0	ϱ̌0	NUM
ejpam-5527	234	12	)	)	PUNCT
ejpam-5527	234	13	)	)	PUNCT
ejpam-5527	234	14	)	)	PUNCT
ejpam-5527	234	15	≤	≤	NOUN
ejpam-5527	234	16	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	234	17	≬	≬	PROPN
ejpam-5527	234	18	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	234	19	)	)	PUNCT
ejpam-5527	234	20	≬	≬	PROPN
ejpam-5527	234	21	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	234	22	)	)	PUNCT
ejpam-5527	234	23	∨	∨	NUM
ejpam-5527	234	24	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	234	25	)	)	PUNCT
ejpam-5527	234	26	∨	∨	NUM
ejpam-5527	234	27	(	(	PUNCT
ejpam-5527	234	28	φ2	φ2	PROPN
ejpam-5527	234	29	−	−	PROPN
ejpam-5527	234	30	φ⋇	φ⋇	PROPN
ejpam-5527	234	31	2	2	NUM
ejpam-5527	234	32	)	)	PUNCT
ejpam-5527	234	33	,	,	PUNCT
ejpam-5527	234	34	and	and	CCONJ
ejpam-5527	234	35	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	234	36	≬	≬	PROPN
ejpam-5527	234	37	(	(	PUNCT
ejpam-5527	234	38	ϱ̌1	ϱ̌1	NUM
ejpam-5527	234	39	≬	≬	PROPN
ejpam-5527	234	40	(	(	PUNCT
ejpam-5527	234	41	ϱ̌1	ϱ̌1	X
ejpam-5527	234	42	≬	≬	PROPN
ejpam-5527	234	43	ϱ̌0	ϱ̌0	NUM
ejpam-5527	234	44	)	)	PUNCT
ejpam-5527	234	45	)	)	PUNCT
ejpam-5527	234	46	)	)	PUNCT
ejpam-5527	234	47	≥	≥	X
ejpam-5527	235	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	235	2	≬	≬	PROPN
ejpam-5527	235	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	235	4	)	)	PUNCT
ejpam-5527	235	5	≬	≬	PROPN
ejpam-5527	235	6	ϱ̌2	ϱ̌2	PART
ejpam-5527	235	7	)	)	PUNCT
ejpam-5527	235	8	∧	∧	PROPN
ejpam-5527	235	9	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	235	10	)	)	PUNCT
ejpam-5527	235	11	∧	∧	NOUN
ejpam-5527	235	12	(	(	PUNCT
ejpam-5527	235	13	−φ	−φ	NOUN
ejpam-5527	235	14	2	2	NUM
ejpam-5527	235	15	+	+	CCONJ
ejpam-5527	235	16	φ⋇	φ⋇	PROPN
ejpam-5527	235	17	2	2	NUM
ejpam-5527	235	18	)	)	PUNCT
ejpam-5527	235	19	,	,	PUNCT
ejpam-5527	235	20	for	for	ADP
ejpam-5527	235	21	all	all	DET
ejpam-5527	235	22	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	235	23	,	,	PUNCT
ejpam-5527	235	24	ϱ̌1	ϱ̌1	NUM
ejpam-5527	235	25	,	,	PUNCT
ejpam-5527	235	26	ϱ̌2	ϱ̌2	VERB
ejpam-5527	235	27	∈	∈	NOUN
ejpam-5527	235	28	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	235	29	conversely	conversely	ADV
ejpam-5527	235	30	,	,	PUNCT
ejpam-5527	235	31	assume	assume	VERB
ejpam-5527	235	32	that	that	SCONJ
ejpam-5527	235	33	ζ̄	ζ̄	ADV
ejpam-5527	235	34	satisfies	satisfy	VERB
ejpam-5527	235	35	the	the	DET
ejpam-5527	235	36	conditions	condition	NOUN
ejpam-5527	235	37	of	of	ADP
ejpam-5527	235	38	(	(	PUNCT
ejpam-5527	235	39	i	i	NOUN
ejpam-5527	235	40	)	)	PUNCT
ejpam-5527	235	41	,	,	PUNCT
ejpam-5527	235	42	(	(	PUNCT
ejpam-5527	235	43	ii	ii	NOUN
ejpam-5527	235	44	)	)	PUNCT
ejpam-5527	235	45	,	,	PUNCT
ejpam-5527	235	46	and	and	CCONJ
ejpam-5527	235	47	(	(	PUNCT
ejpam-5527	235	48	iii	iii	NOUN
ejpam-5527	235	49	)	)	PUNCT
ejpam-5527	235	50	.	.	PUNCT
ejpam-5527	236	1	let	let	VERB
ejpam-5527	236	2	ϱ̌0	ϱ̌0	VERB
ejpam-5527	236	3	∈	∈	VERB
ejpam-5527	236	4	ℵ̌	ℵ̌	PROPN
ejpam-5527	236	5	and	and	CCONJ
ejpam-5527	236	6	ǔ	ǔ	SYM
ejpam-5527	236	7	∈	∈	PROPN
ejpam-5527	236	8	(	(	PUNCT
ejpam-5527	236	9	0	0	NUM
ejpam-5527	236	10	,	,	PUNCT
ejpam-5527	236	11	1	1	NUM
ejpam-5527	236	12	]	]	PUNCT
ejpam-5527	236	13	and	and	CCONJ
ejpam-5527	236	14	š	š	PROPN
ejpam-5527	236	15	∈	∈	PROPN
ejpam-5527	237	1	[	[	X
ejpam-5527	237	2	−1	−1	NOUN
ejpam-5527	237	3	,	,	PUNCT
ejpam-5527	237	4	0	0	NUM
ejpam-5527	237	5	)	)	PUNCT
ejpam-5527	237	6	be	be	AUX
ejpam-5527	237	7	such	such	ADJ
ejpam-5527	237	8	that	that	SCONJ
ejpam-5527	237	9	(	(	PUNCT
ejpam-5527	237	10	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	237	11	,	,	PUNCT
ejpam-5527	237	12	š	š	NOUN
ejpam-5527	237	13	)	)	PUNCT
ejpam-5527	237	14	∈	∈	PROPN
ejpam-5527	237	15	ζ̄−	ζ̄−	NOUN
ejpam-5527	237	16	and	and	CCONJ
ejpam-5527	237	17	(	(	PUNCT
ejpam-5527	237	18	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	237	19	,	,	PUNCT
ejpam-5527	237	20	ǔ	ǔ	PRON
ejpam-5527	237	21	)	)	PUNCT
ejpam-5527	237	22	∈	∈	NOUN
ejpam-5527	237	23	ζ̄+	ζ̄+	PUNCT
ejpam-5527	237	24	.	.	PUNCT
ejpam-5527	238	1	then	then	ADV
ejpam-5527	238	2	,	,	PUNCT
ejpam-5527	238	3	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	INTJ
ejpam-5527	238	4	)	)	PUNCT
ejpam-5527	238	5	≤	≤	NOUN
ejpam-5527	238	6	š	š	NOUN
ejpam-5527	238	7	and	and	CCONJ
ejpam-5527	238	8	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	238	9	)	)	PUNCT
ejpam-5527	238	10	≥	≥	NOUN
ejpam-5527	238	11	ǔ.	ǔ.	PROPN
ejpam-5527	238	12	suppose	suppose	VERB
ejpam-5527	238	13	that	that	SCONJ
ejpam-5527	238	14	ζ̄−(0	ζ̄−(0	NOUN
ejpam-5527	238	15	)	)	PUNCT
ejpam-5527	238	16	≥	≥	NOUN
ejpam-5527	238	17	š	š	PROPN
ejpam-5527	238	18	and	and	CCONJ
ejpam-5527	238	19	ζ̄+(0	ζ̄+(0	NOUN
ejpam-5527	238	20	)	)	PUNCT
ejpam-5527	238	21	≤	≤	NOUN
ejpam-5527	238	22	ǔ.	ǔ.	NOUN
ejpam-5527	238	23	if	if	SCONJ
ejpam-5527	238	24	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	238	25	)	)	PUNCT
ejpam-5527	238	26	>	>	X
ejpam-5527	239	1	φ	φ	PROPN
ejpam-5527	239	2	2−	2−	NUM
ejpam-5527	239	3	φ⋇	φ⋇	PROPN
ejpam-5527	239	4	2	2	NUM
ejpam-5527	239	5	and	and	CCONJ
ejpam-5527	239	6	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	239	7	)	)	PUNCT
ejpam-5527	239	8	<	<	X
ejpam-5527	239	9	−φ	−φ	NOUN
ejpam-5527	239	10	2	2	NUM
ejpam-5527	239	11	+	+	X
ejpam-5527	239	12	φ⋇	φ⋇	PROPN
ejpam-5527	239	13	2	2	NUM
ejpam-5527	239	14	,	,	PUNCT
ejpam-5527	239	15	then	then	ADV
ejpam-5527	239	16	ζ̄−(0	ζ̄−(0	VERB
ejpam-5527	239	17	)	)	PUNCT
ejpam-5527	239	18	≤	≤	NUM
ejpam-5527	239	19	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	239	20	)	)	PUNCT
ejpam-5527	239	21	∨	∨	PROPN
ejpam-5527	239	22	(	(	PUNCT
ejpam-5527	239	23	φ2	φ2	PROPN
ejpam-5527	239	24	−	−	PROPN
ejpam-5527	239	25	φ⋇	φ⋇	PROPN
ejpam-5527	239	26	2	2	NUM
ejpam-5527	239	27	)	)	PUNCT
ejpam-5527	239	28	=	=	SYM
ejpam-5527	239	29	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	239	30	)	)	PUNCT
ejpam-5527	239	31	≤	≤	NOUN
ejpam-5527	239	32	š	š	PROPN
ejpam-5527	239	33	and	and	CCONJ
ejpam-5527	239	34	ζ̄+(0	ζ̄+(0	PROPN
ejpam-5527	239	35	)	)	PUNCT
ejpam-5527	239	36	≥	≥	NOUN
ejpam-5527	239	37	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	239	38	)	)	PUNCT
ejpam-5527	239	39	∧	∧	NOUN
ejpam-5527	239	40	(	(	PUNCT
ejpam-5527	239	41	−φ	−φ	NOUN
ejpam-5527	239	42	2	2	NUM
ejpam-5527	239	43	+	+	CCONJ
ejpam-5527	239	44	φ⋇	φ⋇	PROPN
ejpam-5527	239	45	2	2	NUM
ejpam-5527	239	46	)	)	PUNCT
ejpam-5527	239	47	=	=	SYM
ejpam-5527	239	48	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	239	49	)	)	PUNCT
ejpam-5527	239	50	≥	≥	NOUN
ejpam-5527	239	51	ǔ	ǔ	PROPN
ejpam-5527	239	52	,	,	PUNCT
ejpam-5527	239	53	a	a	DET
ejpam-5527	239	54	contradiction	contradiction	NOUN
ejpam-5527	239	55	.	.	PUNCT
ejpam-5527	240	1	hence	hence	ADV
ejpam-5527	240	2	,	,	PUNCT
ejpam-5527	240	3	we	we	PRON
ejpam-5527	240	4	know	know	VERB
ejpam-5527	240	5	that	that	PRON
ejpam-5527	240	6	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	240	7	)	)	PUNCT
ejpam-5527	240	8	≤	≤	NUM
ejpam-5527	240	9	φ	φ	NUM
ejpam-5527	240	10	2	2	NUM
ejpam-5527	240	11	−	−	PROPN
ejpam-5527	240	12	φ⋇	φ⋇	PROPN
ejpam-5527	240	13	2	2	NUM
ejpam-5527	240	14	and	and	CCONJ
ejpam-5527	240	15	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	240	16	)	)	PUNCT
ejpam-5527	240	17	≥	≥	NOUN
ejpam-5527	240	18	−φ	−φ	NOUN
ejpam-5527	240	19	2	2	NUM
ejpam-5527	240	20	+	+	CCONJ
ejpam-5527	240	21	φ⋇	φ⋇	PROPN
ejpam-5527	240	22	2	2	NUM
ejpam-5527	240	23	and	and	CCONJ
ejpam-5527	240	24	so	so	ADV
ejpam-5527	240	25	we	we	PRON
ejpam-5527	240	26	get	get	VERB
ejpam-5527	240	27	ζ̄−(0	ζ̄−(0	VERB
ejpam-5527	240	28	)	)	PUNCT
ejpam-5527	240	29	+	+	CCONJ
ejpam-5527	240	30	š	š	X
ejpam-5527	240	31	<	<	X
ejpam-5527	240	32	2ζ̄−(0	2ζ̄−(0	NUM
ejpam-5527	240	33	)	)	PUNCT
ejpam-5527	240	34	≤	≤	NUM
ejpam-5527	240	35	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	240	36	)	)	PUNCT
ejpam-5527	240	37	∨	∨	PROPN
ejpam-5527	240	38	(	(	PUNCT
ejpam-5527	240	39	φ2	φ2	PROPN
ejpam-5527	240	40	−	−	PROPN
ejpam-5527	240	41	φ⋇	φ⋇	PROPN
ejpam-5527	240	42	2	2	NUM
ejpam-5527	240	43	)	)	PUNCT
ejpam-5527	240	44	=	=	SYM
ejpam-5527	240	45	φ−	φ−	PROPN
ejpam-5527	240	46	φ⋇	φ⋇	PROPN
ejpam-5527	240	47	and	and	CCONJ
ejpam-5527	240	48	ζ̄+(0	ζ̄+(0	PROPN
ejpam-5527	240	49	)	)	PUNCT
ejpam-5527	240	50	+	+	CCONJ
ejpam-5527	240	51	ϱ̌2	ϱ̌2	VERB
ejpam-5527	240	52	>	>	X
ejpam-5527	240	53	2ζ̄−(0	2ζ̄−(0	NUM
ejpam-5527	240	54	)	)	PUNCT
ejpam-5527	240	55	≥	≥	NOUN
ejpam-5527	240	56	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	240	57	)	)	PUNCT
ejpam-5527	240	58	∧	∧	NOUN
ejpam-5527	240	59	(	(	PUNCT
ejpam-5527	240	60	−φ	−φ	NOUN
ejpam-5527	240	61	2	2	NUM
ejpam-5527	240	62	+	+	CCONJ
ejpam-5527	240	63	φ⋇	φ⋇	PROPN
ejpam-5527	240	64	2	2	NUM
ejpam-5527	240	65	)	)	PUNCT
ejpam-5527	240	66	=	=	PRON
ejpam-5527	240	67	−φ+	−φ+	VERB
ejpam-5527	240	68	φ⋇.	φ⋇.	NOUN
ejpam-5527	240	69	thus	thus	ADV
ejpam-5527	240	70	,	,	PUNCT
ejpam-5527	240	71	(	(	PUNCT
ejpam-5527	240	72	0	0	NUM
ejpam-5527	240	73	,	,	PUNCT
ejpam-5527	240	74	š	š	NOUN
ejpam-5527	240	75	)	)	PUNCT
ejpam-5527	240	76	∈	∈	PROPN
ejpam-5527	240	77	∨ζ̄−	∨ζ̄−	PROPN
ejpam-5527	240	78	and	and	CCONJ
ejpam-5527	240	79	(	(	PUNCT
ejpam-5527	240	80	0	0	NUM
ejpam-5527	240	81	,	,	PUNCT
ejpam-5527	240	82	ǔ	ǔ	PRON
ejpam-5527	240	83	)	)	PUNCT
ejpam-5527	240	84	∈	∈	PROPN
ejpam-5527	240	85	∨ζ̄+	∨ζ̄+	NOUN
ejpam-5527	240	86	.	.	PUNCT
ejpam-5527	241	1	let	let	VERB
ejpam-5527	241	2	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	241	3	,	,	PUNCT
ejpam-5527	241	4	ϱ̌1	ϱ̌1	NUM
ejpam-5527	241	5	,	,	PUNCT
ejpam-5527	241	6	ϱ̌2	ϱ̌2	VERB
ejpam-5527	241	7	∈	∈	PROPN
ejpam-5527	241	8	ℵ̌	ℵ̌	NOUN
ejpam-5527	241	9	,	,	PUNCT
ejpam-5527	241	10	ǔ	ǔ	PROPN
ejpam-5527	241	11	,	,	PUNCT
ejpam-5527	241	12	v̌	v̌	SYM
ejpam-5527	241	13	∈	∈	PROPN
ejpam-5527	241	14	(	(	PUNCT
ejpam-5527	241	15	0	0	NUM
ejpam-5527	241	16	,	,	PUNCT
ejpam-5527	241	17	1	1	NUM
ejpam-5527	241	18	]	]	PUNCT
ejpam-5527	241	19	and	and	CCONJ
ejpam-5527	241	20	š	š	PROPN
ejpam-5527	241	21	,	,	PUNCT
ejpam-5527	241	22	ť	ť	NOUN
ejpam-5527	241	23	∈	∈	PROPN
ejpam-5527	242	1	[	[	X
ejpam-5527	242	2	1	1	NUM
ejpam-5527	242	3	,	,	PUNCT
ejpam-5527	242	4	0	0	NUM
ejpam-5527	242	5	)	)	PUNCT
ejpam-5527	242	6	be	be	AUX
ejpam-5527	242	7	such	such	ADJ
ejpam-5527	242	8	that	that	SCONJ
ejpam-5527	242	9	(	(	PUNCT
ejpam-5527	242	10	(	(	PUNCT
ejpam-5527	242	11	ϱ̌0	ϱ̌0	NUM
ejpam-5527	242	12	≬	≬	PROPN
ejpam-5527	242	13	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	242	14	)	)	PUNCT
ejpam-5527	242	15	≬	≬	PROPN
ejpam-5527	242	16	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	242	17	,	,	PUNCT
ejpam-5527	242	18	š	š	NOUN
ejpam-5527	242	19	)	)	PUNCT
ejpam-5527	242	20	∈	∈	PROPN
ejpam-5527	242	21	ζ̄−	ζ̄−	NOUN
ejpam-5527	242	22	,	,	PUNCT
ejpam-5527	242	23	(	(	PUNCT
ejpam-5527	242	24	ϱ̌2	ϱ̌2	X
ejpam-5527	242	25	,	,	PUNCT
ejpam-5527	242	26	ť	ť	NOUN
ejpam-5527	242	27	)	)	PUNCT
ejpam-5527	242	28	∈	∈	PROPN
ejpam-5527	242	29	ζ̄−	ζ̄−	NOUN
ejpam-5527	242	30	and	and	CCONJ
ejpam-5527	242	31	(	(	PUNCT
ejpam-5527	242	32	(	(	PUNCT
ejpam-5527	242	33	ϱ̌0	ϱ̌0	NUM
ejpam-5527	242	34	≬	≬	PROPN
ejpam-5527	242	35	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	242	36	)	)	PUNCT
ejpam-5527	242	37	≬	≬	PROPN
ejpam-5527	242	38	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	242	39	,	,	PUNCT
ejpam-5527	242	40	ǔ	ǔ	SYM
ejpam-5527	242	41	)	)	PUNCT
ejpam-5527	242	42	∈	∈	NOUN
ejpam-5527	242	43	ζ̄+	ζ̄+	PROPN
ejpam-5527	242	44	,	,	PUNCT
ejpam-5527	242	45	(	(	PUNCT
ejpam-5527	242	46	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	242	47	,	,	PUNCT
ejpam-5527	242	48	v̌	v̌	X
ejpam-5527	242	49	)	)	PUNCT
ejpam-5527	242	50	∈	∈	NOUN
ejpam-5527	242	51	ζ̄+	ζ̄+	PUNCT
ejpam-5527	242	52	.	.	PUNCT
ejpam-5527	243	1	then	then	ADV
ejpam-5527	243	2	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	243	3	≬	≬	PROPN
ejpam-5527	243	4	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	243	5	)	)	PUNCT
ejpam-5527	243	6	≬	≬	PROPN
ejpam-5527	243	7	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	243	8	)	)	PUNCT
ejpam-5527	243	9	≤	≤	NOUN
ejpam-5527	243	10	š	š	PROPN
ejpam-5527	243	11	,	,	PUNCT
ejpam-5527	243	12	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	243	13	)	)	PUNCT
ejpam-5527	243	14	≤	≤	NOUN
ejpam-5527	243	15	ť	ť	NOUN
ejpam-5527	243	16	and	and	CCONJ
ejpam-5527	243	17	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	243	18	≬	≬	PROPN
ejpam-5527	243	19	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	243	20	)	)	PUNCT
ejpam-5527	243	21	≬	≬	PROPN
ejpam-5527	243	22	ϱ̌2	ϱ̌2	PART
ejpam-5527	243	23	)	)	PUNCT
ejpam-5527	243	24	≥	≥	NOUN
ejpam-5527	243	25	ǔ	ǔ	PROPN
ejpam-5527	243	26	,	,	PUNCT
ejpam-5527	243	27	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	X
ejpam-5527	243	28	)	)	PUNCT
ejpam-5527	243	29	≥	≥	NOUN
ejpam-5527	243	30	v̌.	v̌.	PROPN
ejpam-5527	243	31	k.	k.	PROPN
ejpam-5527	243	32	h.	h.	PROPN
ejpam-5527	243	33	hakami	hakami	PROPN
ejpam-5527	243	34	et	et	PROPN
ejpam-5527	243	35	al	al	PROPN
ejpam-5527	243	36	.	.	PUNCT
ejpam-5527	243	37	/	/	SYM
ejpam-5527	243	38	eur	eur	PROPN
ejpam-5527	243	39	.	.	PUNCT
ejpam-5527	244	1	j.	j.	PROPN
ejpam-5527	244	2	pure	pure	PROPN
ejpam-5527	244	3	appl	appl	PROPN
ejpam-5527	244	4	.	.	PROPN
ejpam-5527	244	5	math	math	PROPN
ejpam-5527	244	6	,	,	PUNCT
ejpam-5527	244	7	17	17	NUM
ejpam-5527	244	8	(	(	PUNCT
ejpam-5527	244	9	4	4	NUM
ejpam-5527	244	10	)	)	PUNCT
ejpam-5527	244	11	(	(	PUNCT
ejpam-5527	244	12	2024	2024	NUM
ejpam-5527	244	13	)	)	PUNCT
ejpam-5527	244	14	,	,	PUNCT
ejpam-5527	244	15	3973	3973	NUM
ejpam-5527	244	16	-	-	SYM
ejpam-5527	244	17	3993	3993	NUM
ejpam-5527	244	18	3982	3982	NUM
ejpam-5527	244	19	suppose	suppose	VERB
ejpam-5527	244	20	that	that	SCONJ
ejpam-5527	244	21	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	244	22	≬	≬	PROPN
ejpam-5527	244	23	(	(	PUNCT
ejpam-5527	244	24	ϱ̌1	ϱ̌1	NUM
ejpam-5527	244	25	≬	≬	PROPN
ejpam-5527	244	26	(	(	PUNCT
ejpam-5527	244	27	ϱ̌1	ϱ̌1	X
ejpam-5527	244	28	≬	≬	PROPN
ejpam-5527	244	29	ϱ̌0	ϱ̌0	NUM
ejpam-5527	244	30	)	)	PUNCT
ejpam-5527	244	31	)	)	PUNCT
ejpam-5527	244	32	)	)	PUNCT
ejpam-5527	244	33	>	>	X
ejpam-5527	245	1	š	š	PROPN
ejpam-5527	245	2	∨	∨	NOUN
ejpam-5527	245	3	ť	ť	NOUN
ejpam-5527	245	4	and	and	CCONJ
ejpam-5527	245	5	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	245	6	≬	≬	PROPN
ejpam-5527	245	7	(	(	PUNCT
ejpam-5527	245	8	ϱ̌1	ϱ̌1	NUM
ejpam-5527	245	9	≬	≬	PROPN
ejpam-5527	245	10	(	(	PUNCT
ejpam-5527	245	11	ϱ̌1	ϱ̌1	X
ejpam-5527	245	12	≬	≬	PROPN
ejpam-5527	245	13	ϱ̌0	ϱ̌0	NUM
ejpam-5527	245	14	)	)	PUNCT
ejpam-5527	245	15	)	)	PUNCT
ejpam-5527	245	16	)	)	PUNCT
ejpam-5527	246	1	<	<	X
ejpam-5527	246	2	ǔ	ǔ	PUNCT
ejpam-5527	246	3	∧	∧	PROPN
ejpam-5527	246	4	v̌.	v̌.	NOUN
ejpam-5527	246	5	if	if	SCONJ
ejpam-5527	246	6	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	246	7	≬	≬	PROPN
ejpam-5527	246	8	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	246	9	)	)	PUNCT
ejpam-5527	246	10	≬	≬	PROPN
ejpam-5527	246	11	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	246	12	)	)	PUNCT
ejpam-5527	246	13	∨	∨	NUM
ejpam-5527	246	14	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	246	15	)	)	PUNCT
ejpam-5527	246	16	≥	≥	NOUN
ejpam-5527	246	17	φ	φ	NUM
ejpam-5527	246	18	2	2	NUM
ejpam-5527	246	19	−	−	PROPN
ejpam-5527	246	20	φ⋇	φ⋇	PROPN
ejpam-5527	246	21	2	2	NUM
ejpam-5527	246	22	and	and	CCONJ
ejpam-5527	246	23	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	246	24	≬	≬	PROPN
ejpam-5527	246	25	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	246	26	)	)	PUNCT
ejpam-5527	246	27	≬	≬	PROPN
ejpam-5527	246	28	ϱ̌2	ϱ̌2	PART
ejpam-5527	246	29	)	)	PUNCT
ejpam-5527	246	30	∧	∧	PROPN
ejpam-5527	246	31	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	246	32	)	)	PUNCT
ejpam-5527	246	33	≤	≤	NOUN
ejpam-5527	246	34	−φ	−φ	NOUN
ejpam-5527	246	35	2	2	NUM
ejpam-5527	247	1	+	+	CCONJ
ejpam-5527	247	2	φ⋇	φ⋇	PROPN
ejpam-5527	247	3	2	2	NUM
ejpam-5527	247	4	.	.	PUNCT
ejpam-5527	248	1	then	then	ADV
ejpam-5527	248	2	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	248	3	≬	≬	PROPN
ejpam-5527	248	4	(	(	PUNCT
ejpam-5527	248	5	ϱ̌1	ϱ̌1	NUM
ejpam-5527	248	6	≬	≬	PROPN
ejpam-5527	248	7	(	(	PUNCT
ejpam-5527	248	8	ϱ̌1	ϱ̌1	X
ejpam-5527	248	9	≬	≬	PROPN
ejpam-5527	248	10	ϱ̌0	ϱ̌0	NUM
ejpam-5527	248	11	)	)	PUNCT
ejpam-5527	248	12	)	)	PUNCT
ejpam-5527	248	13	)	)	PUNCT
ejpam-5527	249	1	≤	≤	NOUN
ejpam-5527	249	2	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	249	3	≬	≬	PROPN
ejpam-5527	249	4	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	249	5	)	)	PUNCT
ejpam-5527	249	6	≬	≬	PROPN
ejpam-5527	249	7	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	249	8	)	)	PUNCT
ejpam-5527	249	9	∨	∨	NUM
ejpam-5527	249	10	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	249	11	)	)	PUNCT
ejpam-5527	249	12	∨	∨	NUM
ejpam-5527	249	13	(	(	PUNCT
ejpam-5527	249	14	φ	φ	PROPN
ejpam-5527	249	15	2	2	NUM
ejpam-5527	249	16	−	−	PROPN
ejpam-5527	249	17	φ⋇	φ⋇	PROPN
ejpam-5527	249	18	2	2	NUM
ejpam-5527	249	19	)	)	PUNCT
ejpam-5527	249	20	≤	≤	NOUN
ejpam-5527	249	21	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	249	22	≬	≬	PROPN
ejpam-5527	249	23	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	249	24	)	)	PUNCT
ejpam-5527	249	25	≬	≬	PROPN
ejpam-5527	249	26	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	249	27	)	)	PUNCT
ejpam-5527	249	28	∨	∨	NUM
ejpam-5527	249	29	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	249	30	)	)	PUNCT
ejpam-5527	249	31	≤	≤	NUM
ejpam-5527	249	32	š	š	PROPN
ejpam-5527	249	33	∨	∨	NOUN
ejpam-5527	249	34	ť	ť	NOUN
ejpam-5527	249	35	and	and	CCONJ
ejpam-5527	249	36	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	249	37	≬	≬	PROPN
ejpam-5527	249	38	(	(	PUNCT
ejpam-5527	249	39	ϱ̌1	ϱ̌1	NUM
ejpam-5527	249	40	≬	≬	PROPN
ejpam-5527	249	41	(	(	PUNCT
ejpam-5527	249	42	ϱ̌1	ϱ̌1	X
ejpam-5527	249	43	≬	≬	PROPN
ejpam-5527	249	44	ϱ̌0	ϱ̌0	NUM
ejpam-5527	249	45	)	)	PUNCT
ejpam-5527	249	46	)	)	PUNCT
ejpam-5527	249	47	)	)	PUNCT
ejpam-5527	249	48	≥	≥	X
ejpam-5527	250	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	250	2	≬	≬	PROPN
ejpam-5527	250	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	250	4	)	)	PUNCT
ejpam-5527	250	5	≬	≬	PROPN
ejpam-5527	250	6	ϱ̌2	ϱ̌2	PART
ejpam-5527	250	7	)	)	PUNCT
ejpam-5527	250	8	∧	∧	PROPN
ejpam-5527	250	9	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	250	10	)	)	PUNCT
ejpam-5527	250	11	∧	∧	NOUN
ejpam-5527	250	12	(	(	PUNCT
ejpam-5527	250	13	−φ	−φ	NOUN
ejpam-5527	250	14	2	2	NUM
ejpam-5527	250	15	+	+	CCONJ
ejpam-5527	250	16	φ⋇	φ⋇	PROPN
ejpam-5527	250	17	2	2	NUM
ejpam-5527	250	18	)	)	PUNCT
ejpam-5527	250	19	≥	≥	NOUN
ejpam-5527	251	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	251	2	≬	≬	PROPN
ejpam-5527	251	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	251	4	)	)	PUNCT
ejpam-5527	251	5	≬	≬	PROPN
ejpam-5527	251	6	ϱ̌2	ϱ̌2	PART
ejpam-5527	251	7	)	)	PUNCT
ejpam-5527	251	8	∧	∧	PROPN
ejpam-5527	251	9	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	251	10	)	)	PUNCT
ejpam-5527	251	11	≥	≥	NOUN
ejpam-5527	251	12	ǔ	ǔ	PROPN
ejpam-5527	251	13	∧	∧	PROPN
ejpam-5527	251	14	v̌	v̌	NOUN
ejpam-5527	251	15	,	,	PUNCT
ejpam-5527	251	16	a	a	DET
ejpam-5527	251	17	contradiction	contradiction	NOUN
ejpam-5527	251	18	.	.	PUNCT
ejpam-5527	252	1	thus	thus	ADV
ejpam-5527	252	2	,	,	PUNCT
ejpam-5527	252	3	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	252	4	≬	≬	PROPN
ejpam-5527	252	5	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	252	6	)	)	PUNCT
ejpam-5527	252	7	≬	≬	PROPN
ejpam-5527	252	8	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	252	9	)	)	PUNCT
ejpam-5527	252	10	∨	∨	NUM
ejpam-5527	252	11	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	252	12	)	)	PUNCT
ejpam-5527	252	13	≤	≤	NUM
ejpam-5527	252	14	φ	φ	NUM
ejpam-5527	252	15	2	2	NUM
ejpam-5527	252	16	−	−	PROPN
ejpam-5527	252	17	φ⋇	φ⋇	PROPN
ejpam-5527	252	18	2	2	NUM
ejpam-5527	252	19	and	and	CCONJ
ejpam-5527	252	20	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	252	21	≬	≬	PROPN
ejpam-5527	252	22	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	252	23	)	)	PUNCT
ejpam-5527	252	24	≬	≬	PROPN
ejpam-5527	252	25	ϱ̌2	ϱ̌2	PART
ejpam-5527	252	26	)	)	PUNCT
ejpam-5527	252	27	∧	∧	PROPN
ejpam-5527	252	28	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	252	29	)	)	PUNCT
ejpam-5527	252	30	≥	≥	NOUN
ejpam-5527	252	31	−φ	−φ	NOUN
ejpam-5527	252	32	2	2	NUM
ejpam-5527	252	33	+	+	CCONJ
ejpam-5527	252	34	φ⋇	φ⋇	PROPN
ejpam-5527	252	35	2	2	NUM
ejpam-5527	252	36	.	.	PUNCT
ejpam-5527	253	1	in	in	ADP
ejpam-5527	253	2	that	that	DET
ejpam-5527	253	3	case	case	NOUN
ejpam-5527	253	4	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	ADV
ejpam-5527	253	5	≬	≬	PROPN
ejpam-5527	253	6	(	(	PUNCT
ejpam-5527	253	7	ϱ̌1	ϱ̌1	NUM
ejpam-5527	253	8	≬	≬	PROPN
ejpam-5527	253	9	(	(	PUNCT
ejpam-5527	253	10	ϱ̌1	ϱ̌1	X
ejpam-5527	253	11	≬	≬	PROPN
ejpam-5527	253	12	ϱ̌0	ϱ̌0	NUM
ejpam-5527	253	13	)	)	PUNCT
ejpam-5527	253	14	)	)	PUNCT
ejpam-5527	253	15	)	)	PUNCT
ejpam-5527	254	1	+	+	CCONJ
ejpam-5527	254	2	š	š	NOUN
ejpam-5527	254	3	∨	∨	NOUN
ejpam-5527	254	4	ť	ť	NOUN
ejpam-5527	254	5	<	<	X
ejpam-5527	254	6	2ζ̄−(ϱ̌0	2ζ̄−(ϱ̌0	NUM
ejpam-5527	254	7	≬	≬	PROPN
ejpam-5527	254	8	(	(	PUNCT
ejpam-5527	254	9	ϱ̌1	ϱ̌1	NUM
ejpam-5527	254	10	≬	≬	PROPN
ejpam-5527	254	11	(	(	PUNCT
ejpam-5527	254	12	ϱ̌1	ϱ̌1	X
ejpam-5527	254	13	≬	≬	PROPN
ejpam-5527	254	14	ϱ̌0	ϱ̌0	NUM
ejpam-5527	254	15	)	)	PUNCT
ejpam-5527	254	16	)	)	PUNCT
ejpam-5527	254	17	)	)	PUNCT
ejpam-5527	255	1	≤	≤	NOUN
ejpam-5527	255	2	2((ζ̄−(ϱ̌0	2((ζ̄−(ϱ̌0	NUM
ejpam-5527	255	3	≬	≬	PROPN
ejpam-5527	255	4	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	255	5	)	)	PUNCT
ejpam-5527	255	6	≬	≬	PROPN
ejpam-5527	255	7	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	255	8	)	)	PUNCT
ejpam-5527	255	9	∨	∨	NUM
ejpam-5527	255	10	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	255	11	)	)	PUNCT
ejpam-5527	255	12	∨	∨	NUM
ejpam-5527	255	13	φ	φ	X
ejpam-5527	255	14	2	2	NUM
ejpam-5527	255	15	−	−	PROPN
ejpam-5527	255	16	φ⋇	φ⋇	PROPN
ejpam-5527	255	17	2	2	NUM
ejpam-5527	255	18	)	)	PUNCT
ejpam-5527	255	19	=	=	SYM
ejpam-5527	256	1	φ−	φ−	PROPN
ejpam-5527	256	2	φ⋇	φ⋇	PROPN
ejpam-5527	256	3	,	,	PUNCT
ejpam-5527	256	4	and	and	CCONJ
ejpam-5527	256	5	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	256	6	≬	≬	PROPN
ejpam-5527	256	7	(	(	PUNCT
ejpam-5527	256	8	ϱ̌1	ϱ̌1	NUM
ejpam-5527	256	9	≬	≬	PROPN
ejpam-5527	256	10	(	(	PUNCT
ejpam-5527	256	11	ϱ̌1	ϱ̌1	X
ejpam-5527	256	12	≬	≬	PROPN
ejpam-5527	256	13	ϱ̌0	ϱ̌0	NUM
ejpam-5527	256	14	)	)	PUNCT
ejpam-5527	256	15	)	)	PUNCT
ejpam-5527	256	16	)	)	PUNCT
ejpam-5527	257	1	+	+	CCONJ
ejpam-5527	257	2	ǔ	ǔ	SYM
ejpam-5527	257	3	∧	∧	PROPN
ejpam-5527	257	4	v̌	v̌	NOUN
ejpam-5527	257	5	>	>	SYM
ejpam-5527	257	6	2ζ̄+(ϱ̌0	2ζ̄+(ϱ̌0	NUM
ejpam-5527	257	7	≬	≬	PROPN
ejpam-5527	257	8	(	(	PUNCT
ejpam-5527	257	9	ϱ̌1	ϱ̌1	NUM
ejpam-5527	257	10	≬	≬	PROPN
ejpam-5527	257	11	(	(	PUNCT
ejpam-5527	257	12	ϱ̌1	ϱ̌1	X
ejpam-5527	257	13	≬	≬	PROPN
ejpam-5527	257	14	ϱ̌0	ϱ̌0	NUM
ejpam-5527	257	15	)	)	PUNCT
ejpam-5527	257	16	)	)	PUNCT
ejpam-5527	257	17	)	)	PUNCT
ejpam-5527	257	18	≥	≥	NOUN
ejpam-5527	257	19	2(ζ̄+((ϱ̌0	2(ζ̄+((ϱ̌0	NUM
ejpam-5527	257	20	≬	≬	PROPN
ejpam-5527	257	21	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	257	22	)	)	PUNCT
ejpam-5527	257	23	≬	≬	PROPN
ejpam-5527	257	24	ϱ̌2	ϱ̌2	PART
ejpam-5527	257	25	)	)	PUNCT
ejpam-5527	257	26	∧	∧	PROPN
ejpam-5527	257	27	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	257	28	)	)	PUNCT
ejpam-5527	257	29	∧	∧	NOUN
ejpam-5527	257	30	−φ	−φ	NOUN
ejpam-5527	257	31	2	2	NUM
ejpam-5527	257	32	+	+	CCONJ
ejpam-5527	257	33	φ⋇	φ⋇	PROPN
ejpam-5527	257	34	2	2	NUM
ejpam-5527	257	35	)	)	PUNCT
ejpam-5527	257	36	=	=	PRON
ejpam-5527	257	37	−φ+	−φ+	VERB
ejpam-5527	257	38	φ⋇.	φ⋇.	NOUN
ejpam-5527	257	39	hence	hence	ADV
ejpam-5527	257	40	,	,	PUNCT
ejpam-5527	257	41	(	(	PUNCT
ejpam-5527	257	42	ϱ̌0	ϱ̌0	NUM
ejpam-5527	257	43	≬	≬	PROPN
ejpam-5527	257	44	(	(	PUNCT
ejpam-5527	257	45	ϱ̌1	ϱ̌1	NUM
ejpam-5527	257	46	≬	≬	PROPN
ejpam-5527	257	47	(	(	PUNCT
ejpam-5527	257	48	ϱ̌1	ϱ̌1	X
ejpam-5527	257	49	≬	≬	PROPN
ejpam-5527	257	50	ϱ̌0	ϱ̌0	NUM
ejpam-5527	257	51	)	)	PUNCT
ejpam-5527	257	52	)	)	PUNCT
ejpam-5527	257	53	,	,	PUNCT
ejpam-5527	257	54	š	š	PROPN
ejpam-5527	257	55	∨	∨	NUM
ejpam-5527	257	56	ť	ť	NOUN
ejpam-5527	257	57	)	)	PUNCT
ejpam-5527	257	58	∈	∈	NOUN
ejpam-5527	257	59	∨(k⋇	∨(k⋇	NOUN
ejpam-5527	257	60	,	,	PUNCT
ejpam-5527	257	61	q̌φ)ζ̄−	q̌φ)ζ̄−	PROPN
ejpam-5527	257	62	and	and	CCONJ
ejpam-5527	257	63	(	(	PUNCT
ejpam-5527	257	64	ϱ̌0	ϱ̌0	NUM
ejpam-5527	257	65	≬	≬	PROPN
ejpam-5527	257	66	(	(	PUNCT
ejpam-5527	257	67	ϱ̌1	ϱ̌1	NUM
ejpam-5527	257	68	≬	≬	PROPN
ejpam-5527	257	69	(	(	PUNCT
ejpam-5527	257	70	ϱ̌1	ϱ̌1	X
ejpam-5527	257	71	≬	≬	PROPN
ejpam-5527	257	72	ϱ̌0	ϱ̌0	NUM
ejpam-5527	257	73	)	)	PUNCT
ejpam-5527	257	74	)	)	PUNCT
ejpam-5527	257	75	,	,	PUNCT
ejpam-5527	257	76	ǔ	ǔ	PROPN
ejpam-5527	257	77	∧	∧	NOUN
ejpam-5527	257	78	v̌	v̌	NOUN
ejpam-5527	257	79	)	)	PUNCT
ejpam-5527	257	80	∈	∈	NOUN
ejpam-5527	257	81	∨(k⋇	∨(k⋇	NOUN
ejpam-5527	257	82	,	,	PUNCT
ejpam-5527	257	83	q̌φ)ζ̄+	q̌φ)ζ̄+	NOUN
ejpam-5527	257	84	.	.	PUNCT
ejpam-5527	258	1	so	so	ADV
ejpam-5527	258	2	,	,	PUNCT
ejpam-5527	258	3	ζ̄	ζ̄	ADV
ejpam-5527	258	4	is	be	AUX
ejpam-5527	258	5	an	an	DET
ejpam-5527	258	6	(	(	PUNCT
ejpam-5527	258	7	∈,∈	∈,∈	X
ejpam-5527	258	8	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	258	9	,	,	PUNCT
ejpam-5527	258	10	q̌φ))-bffi	q̌φ))-bffi	PROPN
ejpam-5527	258	11	of	of	ADP
ejpam-5527	258	12	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	258	13	definition	definition	NOUN
ejpam-5527	258	14	9	9	NUM
ejpam-5527	258	15	.	.	PUNCT
ejpam-5527	259	1	let	let	VERB
ejpam-5527	259	2	ζ̄	ζ̄	ADV
ejpam-5527	259	3	be	be	AUX
ejpam-5527	259	4	a	a	DET
ejpam-5527	259	5	bfs	bfs	NOUN
ejpam-5527	259	6	of	of	ADP
ejpam-5527	259	7	ℵ̌	ℵ̌	PROPN
ejpam-5527	259	8	and	and	CCONJ
ejpam-5527	259	9	(	(	PUNCT
ejpam-5527	259	10	š	š	PROPN
ejpam-5527	259	11	,	,	PUNCT
ejpam-5527	259	12	ǔ	ǔ	PRON
ejpam-5527	259	13	)	)	PUNCT
ejpam-5527	259	14	∈	∈	NOUN
ejpam-5527	260	1	[	[	X
ejpam-5527	260	2	−1	−1	NOUN
ejpam-5527	260	3	,	,	PUNCT
ejpam-5527	260	4	0	0	NUM
ejpam-5527	260	5	]	]	X
ejpam-5527	260	6	×	×	NOUN
ejpam-5527	260	7	[	[	X
ejpam-5527	260	8	0	0	NUM
ejpam-5527	260	9	,	,	PUNCT
ejpam-5527	260	10	1	1	NUM
ejpam-5527	260	11	]	]	PUNCT
ejpam-5527	260	12	,	,	PUNCT
ejpam-5527	260	13	we	we	PRON
ejpam-5527	260	14	define	define	VERB
ejpam-5527	260	15	u(ζ̄	u(ζ̄	ADJ
ejpam-5527	260	16	;	;	PUNCT
ejpam-5527	260	17	š	š	NOUN
ejpam-5527	260	18	,	,	PUNCT
ejpam-5527	260	19	ǔ	ǔ	PRON
ejpam-5527	260	20	)	)	PUNCT
ejpam-5527	260	21	=	=	SYM
ejpam-5527	260	22	{	{	PUNCT
ejpam-5527	260	23	ϱ̌0	ϱ̌0	NUM
ejpam-5527	260	24	∈	∈	NOUN
ejpam-5527	260	25	ℵ̌	ℵ̌	X
ejpam-5527	260	26	|	|	NOUN
ejpam-5527	260	27	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NOUN
ejpam-5527	260	28	)	)	PUNCT
ejpam-5527	260	29	≤	≤	NOUN
ejpam-5527	260	30	š	š	NOUN
ejpam-5527	260	31	and	and	CCONJ
ejpam-5527	260	32	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	260	33	)	)	PUNCT
ejpam-5527	260	34	≥	≥	NOUN
ejpam-5527	260	35	ǔ	ǔ	ADV
ejpam-5527	260	36	}	}	PUNCT
ejpam-5527	260	37	is	be	AUX
ejpam-5527	260	38	called	call	VERB
ejpam-5527	260	39	a	a	DET
ejpam-5527	260	40	š-level	š-level	NOUN
ejpam-5527	260	41	cut	cut	NOUN
ejpam-5527	260	42	of	of	ADP
ejpam-5527	260	43	ζ̄−	ζ̄−	NOUN
ejpam-5527	260	44	and	and	CCONJ
ejpam-5527	260	45	ǔ-level	ǔ-level	NOUN
ejpam-5527	260	46	cut	cut	NOUN
ejpam-5527	260	47	of	of	ADP
ejpam-5527	260	48	ζ̄+	ζ̄+	NUM
ejpam-5527	260	49	of	of	ADP
ejpam-5527	260	50	the	the	DET
ejpam-5527	260	51	bfs	bfs	NOUN
ejpam-5527	260	52	ζ̄.	ζ̄.	PUNCT
ejpam-5527	260	53	theorem	theorem	VERB
ejpam-5527	260	54	4	4	NUM
ejpam-5527	260	55	.	.	PUNCT
ejpam-5527	260	56	a	a	DET
ejpam-5527	260	57	bfs	bfs	NOUN
ejpam-5527	260	58	ζ̄	ζ̄	ADV
ejpam-5527	260	59	is	be	AUX
ejpam-5527	260	60	an	an	DET
ejpam-5527	260	61	(	(	PUNCT
ejpam-5527	260	62	∈,∈	∈,∈	X
ejpam-5527	260	63	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	260	64	,	,	PUNCT
ejpam-5527	260	65	q̌φ))-bfi	q̌φ))-bfi	PROPN
ejpam-5527	260	66	of	of	ADP
ejpam-5527	260	67	ℵ̌	ℵ̌	PROPN
ejpam-5527	260	68	⇔	⇔	PROPN
ejpam-5527	260	69	the	the	DET
ejpam-5527	260	70	level	level	NOUN
ejpam-5527	260	71	subset	subset	VERB
ejpam-5527	260	72	u(ζ̄	u(ζ̄	ADJ
ejpam-5527	260	73	;	;	PUNCT
ejpam-5527	260	74	š	š	NOUN
ejpam-5527	260	75	,	,	PUNCT
ejpam-5527	260	76	ǔ	ǔ	PRON
ejpam-5527	260	77	)	)	PUNCT
ejpam-5527	260	78	=	=	PRON
ejpam-5527	260	79	{	{	PUNCT
ejpam-5527	260	80	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	260	81	,	,	PUNCT
ejpam-5527	260	82	ϱ̌2	ϱ̌2	VERB
ejpam-5527	260	83	∈	∈	PROPN
ejpam-5527	260	84	ℵ̌	ℵ̌	PROPN
ejpam-5527	260	85	|	|	ADV
ejpam-5527	260	86	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	260	87	≬	≬	PROPN
ejpam-5527	260	88	(	(	PUNCT
ejpam-5527	260	89	ϱ̌1	ϱ̌1	NUM
ejpam-5527	260	90	≬	≬	PROPN
ejpam-5527	260	91	(	(	PUNCT
ejpam-5527	260	92	ϱ̌1	ϱ̌1	X
ejpam-5527	260	93	≬	≬	PROPN
ejpam-5527	260	94	ϱ̌0	ϱ̌0	NUM
ejpam-5527	260	95	)	)	PUNCT
ejpam-5527	260	96	)	)	PUNCT
ejpam-5527	260	97	)	)	PUNCT
ejpam-5527	261	1	≤	≤	NUM
ejpam-5527	261	2	š	š	X
ejpam-5527	261	3	and	and	CCONJ
ejpam-5527	261	4	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	261	5	≬	≬	PROPN
ejpam-5527	261	6	(	(	PUNCT
ejpam-5527	261	7	ϱ̌1	ϱ̌1	NUM
ejpam-5527	261	8	≬	≬	PROPN
ejpam-5527	261	9	(	(	PUNCT
ejpam-5527	261	10	ϱ̌1	ϱ̌1	X
ejpam-5527	261	11	≬	≬	PROPN
ejpam-5527	261	12	ϱ̌0	ϱ̌0	NUM
ejpam-5527	261	13	)	)	PUNCT
ejpam-5527	261	14	)	)	PUNCT
ejpam-5527	261	15	)	)	PUNCT
ejpam-5527	261	16	≥	≥	X
ejpam-5527	261	17	ǔ	ǔ	ADV
ejpam-5527	261	18	}	}	PUNCT
ejpam-5527	261	19	is	be	AUX
ejpam-5527	261	20	a	a	DET
ejpam-5527	261	21	bffi	bffi	NOUN
ejpam-5527	261	22	of	of	ADP
ejpam-5527	261	23	ℵ̌	ℵ̌	PROPN
ejpam-5527	261	24	for	for	ADP
ejpam-5527	261	25	all	all	DET
ejpam-5527	261	26	š	š	NUM
ejpam-5527	261	27	∈	∈	NOUN
ejpam-5527	262	1	[	[	X
ejpam-5527	262	2	φ2	φ2	NOUN
ejpam-5527	262	3	−	−	PROPN
ejpam-5527	262	4	φ⋇	φ⋇	PROPN
ejpam-5527	262	5	2	2	NUM
ejpam-5527	262	6	,	,	PUNCT
ejpam-5527	262	7	0	0	NUM
ejpam-5527	262	8	)	)	PUNCT
ejpam-5527	262	9	and	and	CCONJ
ejpam-5527	262	10	for	for	ADP
ejpam-5527	262	11	all	all	DET
ejpam-5527	262	12	ǔ	ǔ	PROPN
ejpam-5527	262	13	∈	∈	PROPN
ejpam-5527	262	14	(	(	PUNCT
ejpam-5527	262	15	0,−φ	0,−φ	NOUN
ejpam-5527	262	16	2	2	NUM
ejpam-5527	262	17	+	+	CCONJ
ejpam-5527	262	18	φ⋇	φ⋇	PROPN
ejpam-5527	262	19	2	2	NUM
ejpam-5527	262	20	]	]	PUNCT
ejpam-5527	262	21	.	.	PUNCT
ejpam-5527	263	1	k.	k.	PROPN
ejpam-5527	263	2	h.	h.	PROPN
ejpam-5527	263	3	hakami	hakami	PROPN
ejpam-5527	263	4	et	et	PROPN
ejpam-5527	263	5	al	al	PROPN
ejpam-5527	263	6	.	.	PUNCT
ejpam-5527	263	7	/	/	SYM
ejpam-5527	263	8	eur	eur	PROPN
ejpam-5527	263	9	.	.	PUNCT
ejpam-5527	264	1	j.	j.	PROPN
ejpam-5527	264	2	pure	pure	PROPN
ejpam-5527	264	3	appl	appl	PROPN
ejpam-5527	264	4	.	.	PROPN
ejpam-5527	264	5	math	math	PROPN
ejpam-5527	264	6	,	,	PUNCT
ejpam-5527	264	7	17	17	NUM
ejpam-5527	264	8	(	(	PUNCT
ejpam-5527	264	9	4	4	NUM
ejpam-5527	264	10	)	)	PUNCT
ejpam-5527	264	11	(	(	PUNCT
ejpam-5527	264	12	2024	2024	NUM
ejpam-5527	264	13	)	)	PUNCT
ejpam-5527	264	14	,	,	PUNCT
ejpam-5527	264	15	3973	3973	NUM
ejpam-5527	264	16	-	-	SYM
ejpam-5527	264	17	3993	3993	NUM
ejpam-5527	264	18	3983	3983	NUM
ejpam-5527	264	19	proof	proof	NOUN
ejpam-5527	264	20	.	.	PUNCT
ejpam-5527	265	1	assume	assume	VERB
ejpam-5527	265	2	that	that	SCONJ
ejpam-5527	265	3	ζ̄	ζ̄	ADV
ejpam-5527	265	4	is	be	AUX
ejpam-5527	265	5	an	an	DET
ejpam-5527	265	6	(	(	PUNCT
ejpam-5527	265	7	∈,∈	∈,∈	X
ejpam-5527	265	8	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	265	9	,	,	PUNCT
ejpam-5527	265	10	q̌φ))-bfi	q̌φ))-bfi	PROPN
ejpam-5527	265	11	of	of	ADP
ejpam-5527	265	12	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	265	13	let	let	VERB
ejpam-5527	265	14	(	(	PUNCT
ejpam-5527	265	15	ϱ̌0	ϱ̌0	VERB
ejpam-5527	265	16	≬	≬	PROPN
ejpam-5527	265	17	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	265	18	)	)	PUNCT
ejpam-5527	265	19	≬	≬	PROPN
ejpam-5527	265	20	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	265	21	,	,	PUNCT
ejpam-5527	265	22	ϱ̌2	ϱ̌2	VERB
ejpam-5527	265	23	∈	∈	NOUN
ejpam-5527	265	24	u(ζ̄	u(ζ̄	X
ejpam-5527	265	25	;	;	PUNCT
ejpam-5527	265	26	š	š	NOUN
ejpam-5527	265	27	,	,	PUNCT
ejpam-5527	265	28	ǔ	ǔ	PROPN
ejpam-5527	265	29	)	)	PUNCT
ejpam-5527	265	30	with	with	ADP
ejpam-5527	265	31	š	š	PROPN
ejpam-5527	265	32	∈	∈	PROPN
ejpam-5527	266	1	[	[	X
ejpam-5527	266	2	φ2	φ2	NOUN
ejpam-5527	266	3	−	−	PROPN
ejpam-5527	266	4	φ⋇	φ⋇	PROPN
ejpam-5527	266	5	2	2	NUM
ejpam-5527	266	6	,	,	PUNCT
ejpam-5527	266	7	0	0	NUM
ejpam-5527	266	8	)	)	PUNCT
ejpam-5527	266	9	and	and	CCONJ
ejpam-5527	266	10	ǔ	ǔ	SYM
ejpam-5527	266	11	∈	∈	PROPN
ejpam-5527	266	12	(	(	PUNCT
ejpam-5527	266	13	0,−φ	0,−φ	NOUN
ejpam-5527	266	14	2	2	NUM
ejpam-5527	266	15	+	+	CCONJ
ejpam-5527	266	16	φ⋇	φ⋇	PROPN
ejpam-5527	266	17	2	2	NUM
ejpam-5527	266	18	)	)	PUNCT
ejpam-5527	266	19	.	.	PUNCT
ejpam-5527	267	1	then	then	ADV
ejpam-5527	267	2	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	267	3	≬	≬	PROPN
ejpam-5527	267	4	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	267	5	)	)	PUNCT
ejpam-5527	267	6	≬	≬	PROPN
ejpam-5527	267	7	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	267	8	)	)	PUNCT
ejpam-5527	267	9	≤	≤	NOUN
ejpam-5527	267	10	š	š	PROPN
ejpam-5527	267	11	,	,	PUNCT
ejpam-5527	267	12	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	267	13	)	)	PUNCT
ejpam-5527	267	14	≤	≤	NOUN
ejpam-5527	267	15	š	š	PROPN
ejpam-5527	267	16	and	and	CCONJ
ejpam-5527	267	17	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	267	18	≬	≬	PROPN
ejpam-5527	267	19	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	267	20	)	)	PUNCT
ejpam-5527	267	21	≬	≬	PROPN
ejpam-5527	267	22	ϱ̌2	ϱ̌2	PART
ejpam-5527	267	23	)	)	PUNCT
ejpam-5527	267	24	≥	≥	NOUN
ejpam-5527	267	25	ǔ	ǔ	PROPN
ejpam-5527	267	26	,	,	PUNCT
ejpam-5527	267	27	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	267	28	)	)	PUNCT
ejpam-5527	267	29	≥	≥	NOUN
ejpam-5527	267	30	ǔ.	ǔ.	VERB
ejpam-5527	267	31	therefore	therefore	ADV
ejpam-5527	267	32	from	from	ADP
ejpam-5527	267	33	theorem	theorem	NOUN
ejpam-5527	267	34	1	1	NUM
ejpam-5527	267	35	that	that	PRON
ejpam-5527	267	36	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	267	37	≬	≬	PROPN
ejpam-5527	267	38	(	(	PUNCT
ejpam-5527	267	39	ϱ̌1	ϱ̌1	NUM
ejpam-5527	267	40	≬	≬	PROPN
ejpam-5527	267	41	(	(	PUNCT
ejpam-5527	267	42	ϱ̌1	ϱ̌1	X
ejpam-5527	267	43	≬	≬	PROPN
ejpam-5527	267	44	ϱ̌0	ϱ̌0	NUM
ejpam-5527	267	45	)	)	PUNCT
ejpam-5527	267	46	)	)	PUNCT
ejpam-5527	267	47	)	)	PUNCT
ejpam-5527	268	1	≤	≤	NOUN
ejpam-5527	268	2	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	268	3	≬	≬	PROPN
ejpam-5527	268	4	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	268	5	)	)	PUNCT
ejpam-5527	268	6	≬	≬	PROPN
ejpam-5527	268	7	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	268	8	)	)	PUNCT
ejpam-5527	268	9	∨	∨	NUM
ejpam-5527	268	10	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	268	11	)	)	PUNCT
ejpam-5527	268	12	∨	∨	NUM
ejpam-5527	268	13	(	(	PUNCT
ejpam-5527	268	14	φ	φ	PROPN
ejpam-5527	268	15	2	2	NUM
ejpam-5527	268	16	−	−	PROPN
ejpam-5527	268	17	φ⋇	φ⋇	PROPN
ejpam-5527	268	18	2	2	NUM
ejpam-5527	268	19	)	)	PUNCT
ejpam-5527	268	20	≤	≤	NUM
ejpam-5527	268	21	š	š	PROPN
ejpam-5527	268	22	∨	∨	NOUN
ejpam-5527	268	23	(	(	PUNCT
ejpam-5527	268	24	φ	φ	PROPN
ejpam-5527	268	25	2	2	NUM
ejpam-5527	268	26	−	−	PROPN
ejpam-5527	268	27	φ⋇	φ⋇	PROPN
ejpam-5527	268	28	2	2	NUM
ejpam-5527	268	29	)	)	PUNCT
ejpam-5527	268	30	=	=	SYM
ejpam-5527	268	31	š	š	X
ejpam-5527	268	32	and	and	CCONJ
ejpam-5527	268	33	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	268	34	≬	≬	PROPN
ejpam-5527	268	35	(	(	PUNCT
ejpam-5527	268	36	ϱ̌1	ϱ̌1	NUM
ejpam-5527	268	37	≬	≬	PROPN
ejpam-5527	268	38	(	(	PUNCT
ejpam-5527	268	39	ϱ̌1	ϱ̌1	X
ejpam-5527	268	40	≬	≬	PROPN
ejpam-5527	268	41	ϱ̌0	ϱ̌0	NUM
ejpam-5527	268	42	)	)	PUNCT
ejpam-5527	268	43	)	)	PUNCT
ejpam-5527	268	44	)	)	PUNCT
ejpam-5527	268	45	≥	≥	X
ejpam-5527	269	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	269	2	≬	≬	PROPN
ejpam-5527	269	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	269	4	)	)	PUNCT
ejpam-5527	269	5	≬	≬	PROPN
ejpam-5527	269	6	ϱ̌2	ϱ̌2	PART
ejpam-5527	269	7	)	)	PUNCT
ejpam-5527	269	8	∧	∧	PROPN
ejpam-5527	269	9	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	269	10	)	)	PUNCT
ejpam-5527	269	11	∧	∧	NOUN
ejpam-5527	269	12	(	(	PUNCT
ejpam-5527	269	13	−φ	−φ	NOUN
ejpam-5527	269	14	2	2	NUM
ejpam-5527	269	15	+	+	CCONJ
ejpam-5527	269	16	φ⋇	φ⋇	PROPN
ejpam-5527	269	17	2	2	NUM
ejpam-5527	269	18	)	)	PUNCT
ejpam-5527	269	19	≥	≥	NOUN
ejpam-5527	270	1	ǔ	ǔ	PROPN
ejpam-5527	270	2	∧	∧	PROPN
ejpam-5527	270	3	(	(	PUNCT
ejpam-5527	270	4	−φ	−φ	NOUN
ejpam-5527	270	5	2	2	NUM
ejpam-5527	270	6	+	+	CCONJ
ejpam-5527	270	7	φ⋇	φ⋇	PROPN
ejpam-5527	270	8	2	2	NUM
ejpam-5527	270	9	)	)	PUNCT
ejpam-5527	270	10	=	=	SYM
ejpam-5527	271	1	ǔ	ǔ	PROPN
ejpam-5527	271	2	,	,	PUNCT
ejpam-5527	271	3	so	so	SCONJ
ejpam-5527	271	4	that	that	SCONJ
ejpam-5527	271	5	ϱ̌0	ϱ̌0	VERB
ejpam-5527	271	6	≬	≬	PROPN
ejpam-5527	271	7	(	(	PUNCT
ejpam-5527	271	8	ϱ̌1	ϱ̌1	NUM
ejpam-5527	271	9	≬	≬	PROPN
ejpam-5527	271	10	(	(	PUNCT
ejpam-5527	271	11	ϱ̌1	ϱ̌1	X
ejpam-5527	271	12	≬	≬	PROPN
ejpam-5527	271	13	ϱ̌0	ϱ̌0	NUM
ejpam-5527	271	14	)	)	PUNCT
ejpam-5527	271	15	)	)	PUNCT
ejpam-5527	272	1	∈	∈	PROPN
ejpam-5527	272	2	u(ζ̄	u(ζ̄	X
ejpam-5527	272	3	;	;	PUNCT
ejpam-5527	272	4	š	š	NOUN
ejpam-5527	272	5	,	,	PUNCT
ejpam-5527	272	6	ǔ	ǔ	PROPN
ejpam-5527	272	7	)	)	PUNCT
ejpam-5527	272	8	.	.	PUNCT
ejpam-5527	273	1	therefore	therefore	ADV
ejpam-5527	273	2	,	,	PUNCT
ejpam-5527	273	3	u(ζ̄	u(ζ̄	X
ejpam-5527	273	4	;	;	PUNCT
ejpam-5527	273	5	š	š	NOUN
ejpam-5527	273	6	,	,	PUNCT
ejpam-5527	273	7	ǔ	ǔ	PRON
ejpam-5527	273	8	)	)	PUNCT
ejpam-5527	273	9	is	be	AUX
ejpam-5527	273	10	a	a	DET
ejpam-5527	273	11	fantastic	fantastic	ADJ
ejpam-5527	273	12	ideal	ideal	NOUN
ejpam-5527	273	13	of	of	ADP
ejpam-5527	273	14	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	273	15	conversely	conversely	ADV
ejpam-5527	273	16	,	,	PUNCT
ejpam-5527	273	17	let	let	VERB
ejpam-5527	273	18	ζ̄	ζ̄	ADV
ejpam-5527	273	19	be	be	AUX
ejpam-5527	273	20	a	a	DET
ejpam-5527	273	21	bfs	bfs	NOUN
ejpam-5527	273	22	of	of	ADP
ejpam-5527	273	23	ℵ̌	ℵ̌	PROPN
ejpam-5527	273	24	be	be	AUX
ejpam-5527	273	25	such	such	ADJ
ejpam-5527	274	1	that	that	SCONJ
ejpam-5527	274	2	u(ζ̄	u(ζ̄	ADJ
ejpam-5527	274	3	;	;	PUNCT
ejpam-5527	274	4	š	š	NOUN
ejpam-5527	274	5	,	,	PUNCT
ejpam-5527	274	6	ǔ	ǔ	PRON
ejpam-5527	274	7	)	)	PUNCT
ejpam-5527	274	8	=	=	SYM
ejpam-5527	274	9	{	{	PUNCT
ejpam-5527	274	10	ϱ̌0	ϱ̌0	NUM
ejpam-5527	274	11	∈	∈	NOUN
ejpam-5527	274	12	ℵ̌	ℵ̌	PROPN
ejpam-5527	274	13	|	|	ADV
ejpam-5527	274	14	ζ̄−	ζ̄−	X
ejpam-5527	274	15	≤	≤	ADJ
ejpam-5527	274	16	š	š	NOUN
ejpam-5527	274	17	and	and	CCONJ
ejpam-5527	274	18	ζ̄+	ζ̄+	NUM
ejpam-5527	274	19	≥	≥	NOUN
ejpam-5527	274	20	ǔ	ǔ	ADV
ejpam-5527	274	21	}	}	PUNCT
ejpam-5527	274	22	is	be	AUX
ejpam-5527	274	23	a	a	DET
ejpam-5527	274	24	fantastic	fantastic	ADJ
ejpam-5527	274	25	ideal	ideal	NOUN
ejpam-5527	274	26	of	of	ADP
ejpam-5527	274	27	ℵ̌	ℵ̌	PROPN
ejpam-5527	274	28	for	for	ADP
ejpam-5527	274	29	all	all	DET
ejpam-5527	274	30	š	š	NUM
ejpam-5527	274	31	∈	∈	NOUN
ejpam-5527	275	1	[	[	X
ejpam-5527	275	2	φ2	φ2	NOUN
ejpam-5527	275	3	−	−	PROPN
ejpam-5527	275	4	φ⋇	φ⋇	PROPN
ejpam-5527	275	5	2	2	NUM
ejpam-5527	275	6	,	,	PUNCT
ejpam-5527	275	7	0	0	NUM
ejpam-5527	275	8	)	)	PUNCT
ejpam-5527	275	9	and	and	CCONJ
ejpam-5527	275	10	ǔ	ǔ	SYM
ejpam-5527	275	11	∈	∈	PROPN
ejpam-5527	275	12	(	(	PUNCT
ejpam-5527	275	13	0,−φ	0,−φ	NOUN
ejpam-5527	275	14	2	2	NUM
ejpam-5527	275	15	+	+	CCONJ
ejpam-5527	275	16	φ⋇	φ⋇	NOUN
ejpam-5527	275	17	2	2	NUM
ejpam-5527	275	18	]	]	PUNCT
ejpam-5527	275	19	.	.	PUNCT
ejpam-5527	276	1	if	if	SCONJ
ejpam-5527	276	2	there	there	PRON
ejpam-5527	276	3	exist	exist	VERB
ejpam-5527	276	4	(	(	PUNCT
ejpam-5527	276	5	ϱ̌0	ϱ̌0	NUM
ejpam-5527	276	6	≬	≬	PROPN
ejpam-5527	276	7	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	276	8	)	)	PUNCT
ejpam-5527	276	9	≬	≬	PROPN
ejpam-5527	276	10	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	276	11	,	,	PUNCT
ejpam-5527	276	12	ϱ̌2	ϱ̌2	VERB
ejpam-5527	276	13	∈	∈	NOUN
ejpam-5527	276	14	ℵ̌	ℵ̌	PROPN
ejpam-5527	276	15	such	such	ADJ
ejpam-5527	276	16	that	that	DET
ejpam-5527	276	17	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	276	18	≬	≬	PROPN
ejpam-5527	276	19	(	(	PUNCT
ejpam-5527	276	20	ϱ̌1	ϱ̌1	NUM
ejpam-5527	276	21	≬	≬	PROPN
ejpam-5527	276	22	(	(	PUNCT
ejpam-5527	276	23	ϱ̌1	ϱ̌1	X
ejpam-5527	276	24	≬	≬	PROPN
ejpam-5527	276	25	ϱ̌0	ϱ̌0	NUM
ejpam-5527	276	26	)	)	PUNCT
ejpam-5527	276	27	)	)	PUNCT
ejpam-5527	276	28	)	)	PUNCT
ejpam-5527	277	1	>	>	PUNCT
ejpam-5527	277	2	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	277	3	≬	≬	PROPN
ejpam-5527	277	4	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	277	5	)	)	PUNCT
ejpam-5527	277	6	≬	≬	NOUN
ejpam-5527	277	7	ϱ̌2)∨	ϱ̌2)∨	ADJ
ejpam-5527	277	8	ζ̄−(ϱ̌2)∨	ζ̄−(ϱ̌2)∨	ADV
ejpam-5527	277	9	(	(	PUNCT
ejpam-5527	277	10	φ2	φ2	PROPN
ejpam-5527	277	11	−	−	PROPN
ejpam-5527	277	12	φ⋇	φ⋇	PROPN
ejpam-5527	277	13	2	2	NUM
ejpam-5527	277	14	)	)	PUNCT
ejpam-5527	277	15	and	and	CCONJ
ejpam-5527	277	16	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	277	17	≬	≬	PROPN
ejpam-5527	277	18	(	(	PUNCT
ejpam-5527	277	19	ϱ̌1	ϱ̌1	NUM
ejpam-5527	277	20	≬	≬	PROPN
ejpam-5527	277	21	(	(	PUNCT
ejpam-5527	277	22	ϱ̌1	ϱ̌1	X
ejpam-5527	277	23	≬	≬	PROPN
ejpam-5527	277	24	ϱ̌0	ϱ̌0	NUM
ejpam-5527	277	25	)	)	PUNCT
ejpam-5527	277	26	)	)	PUNCT
ejpam-5527	277	27	)	)	PUNCT
ejpam-5527	278	1	<	<	X
ejpam-5527	278	2	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	278	3	≬	≬	PROPN
ejpam-5527	278	4	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	278	5	)	)	PUNCT
ejpam-5527	278	6	≬	≬	PROPN
ejpam-5527	278	7	ϱ̌2)∧ζ̄+(ϱ̌2)∧(−φ	ϱ̌2)∧ζ̄+(ϱ̌2)∧(−φ	PROPN
ejpam-5527	278	8	2	2	NUM
ejpam-5527	279	1	+	+	CCONJ
ejpam-5527	279	2	φ⋇	φ⋇	PROPN
ejpam-5527	279	3	2	2	NUM
ejpam-5527	279	4	)	)	PUNCT
ejpam-5527	279	5	,	,	PUNCT
ejpam-5527	279	6	then	then	ADV
ejpam-5527	279	7	we	we	PRON
ejpam-5527	279	8	take	take	VERB
ejpam-5527	279	9	š	š	NOUN
ejpam-5527	279	10	∈	∈	NOUN
ejpam-5527	279	11	(	(	PUNCT
ejpam-5527	279	12	−1	−1	NOUN
ejpam-5527	279	13	,	,	PUNCT
ejpam-5527	279	14	0	0	NUM
ejpam-5527	279	15	)	)	PUNCT
ejpam-5527	279	16	and	and	CCONJ
ejpam-5527	279	17	ǔ	ǔ	SYM
ejpam-5527	279	18	∈	∈	PROPN
ejpam-5527	279	19	(	(	PUNCT
ejpam-5527	279	20	0	0	NUM
ejpam-5527	279	21	,	,	PUNCT
ejpam-5527	279	22	1	1	NUM
ejpam-5527	279	23	)	)	PUNCT
ejpam-5527	279	24	such	such	ADJ
ejpam-5527	279	25	that	that	DET
ejpam-5527	279	26	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	279	27	≬	≬	PROPN
ejpam-5527	279	28	(	(	PUNCT
ejpam-5527	279	29	ϱ̌1	ϱ̌1	NUM
ejpam-5527	279	30	≬	≬	PROPN
ejpam-5527	279	31	(	(	PUNCT
ejpam-5527	279	32	ϱ̌1	ϱ̌1	X
ejpam-5527	279	33	≬	≬	PROPN
ejpam-5527	279	34	ϱ̌0	ϱ̌0	NUM
ejpam-5527	279	35	)	)	PUNCT
ejpam-5527	279	36	)	)	PUNCT
ejpam-5527	279	37	)	)	PUNCT
ejpam-5527	280	1	>	>	X
ejpam-5527	280	2	š	š	X
ejpam-5527	280	3	>	>	SYM
ejpam-5527	280	4	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	NOUN
ejpam-5527	280	5	≬	≬	PROPN
ejpam-5527	280	6	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	280	7	)	)	PUNCT
ejpam-5527	280	8	≬	≬	PROPN
ejpam-5527	280	9	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	280	10	)	)	PUNCT
ejpam-5527	280	11	∨	∨	NUM
ejpam-5527	280	12	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	280	13	)	)	PUNCT
ejpam-5527	280	14	∨	∨	NUM
ejpam-5527	280	15	(	(	PUNCT
ejpam-5527	280	16	φ2	φ2	PROPN
ejpam-5527	280	17	−	−	PROPN
ejpam-5527	280	18	φ⋇	φ⋇	PROPN
ejpam-5527	280	19	2	2	NUM
ejpam-5527	280	20	)	)	PUNCT
ejpam-5527	280	21	and	and	CCONJ
ejpam-5527	280	22	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	280	23	≬	≬	PROPN
ejpam-5527	280	24	(	(	PUNCT
ejpam-5527	280	25	ϱ̌1	ϱ̌1	NUM
ejpam-5527	280	26	≬	≬	PROPN
ejpam-5527	280	27	(	(	PUNCT
ejpam-5527	280	28	ϱ̌1	ϱ̌1	X
ejpam-5527	280	29	≬	≬	PROPN
ejpam-5527	280	30	ϱ̌0	ϱ̌0	NUM
ejpam-5527	280	31	)	)	PUNCT
ejpam-5527	280	32	)	)	PUNCT
ejpam-5527	280	33	)	)	PUNCT
ejpam-5527	281	1	<	<	X
ejpam-5527	281	2	ǔ	ǔ	X
ejpam-5527	281	3	<	<	X
ejpam-5527	281	4	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	281	5	≬	≬	PROPN
ejpam-5527	281	6	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	281	7	)	)	PUNCT
ejpam-5527	281	8	≬	≬	PROPN
ejpam-5527	281	9	ϱ̌2	ϱ̌2	PART
ejpam-5527	281	10	)	)	PUNCT
ejpam-5527	281	11	∧	∧	PROPN
ejpam-5527	281	12	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	281	13	)	)	PUNCT
ejpam-5527	281	14	∧	∧	NOUN
ejpam-5527	281	15	(	(	PUNCT
ejpam-5527	281	16	−φ	−φ	NOUN
ejpam-5527	281	17	2	2	NUM
ejpam-5527	281	18	+	+	CCONJ
ejpam-5527	281	19	φ⋇	φ⋇	PROPN
ejpam-5527	281	20	2	2	NUM
ejpam-5527	281	21	)	)	PUNCT
ejpam-5527	281	22	.	.	PUNCT
ejpam-5527	282	1	thus	thus	ADV
ejpam-5527	282	2	,	,	PUNCT
ejpam-5527	282	3	(	(	PUNCT
ejpam-5527	282	4	ϱ̌0	ϱ̌0	NUM
ejpam-5527	282	5	≬	≬	PROPN
ejpam-5527	282	6	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	282	7	)	)	PUNCT
ejpam-5527	282	8	≬	≬	PROPN
ejpam-5527	282	9	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	282	10	)	)	PUNCT
ejpam-5527	282	11	,	,	PUNCT
ejpam-5527	282	12	ϱ̌1	ϱ̌1	NUM
ejpam-5527	282	13	∈	∈	PROPN
ejpam-5527	282	14	u(ζ̄	u(ζ̄	X
ejpam-5527	282	15	;	;	PUNCT
ejpam-5527	282	16	š	š	NOUN
ejpam-5527	282	17	,	,	PUNCT
ejpam-5527	282	18	ǔ	ǔ	PROPN
ejpam-5527	282	19	)	)	PUNCT
ejpam-5527	282	20	with	with	ADP
ejpam-5527	282	21	ǔ	ǔ	PROPN
ejpam-5527	282	22	<	<	X
ejpam-5527	282	23	−φ	−φ	NOUN
ejpam-5527	282	24	2	2	NUM
ejpam-5527	282	25	+	+	CCONJ
ejpam-5527	282	26	φ⋇	φ⋇	PROPN
ejpam-5527	282	27	2	2	NUM
ejpam-5527	282	28	and	and	CCONJ
ejpam-5527	282	29	š	š	PROPN
ejpam-5527	282	30	>	>	X
ejpam-5527	282	31	−φ	−φ	NOUN
ejpam-5527	282	32	2	2	NUM
ejpam-5527	282	33	+	+	CCONJ
ejpam-5527	282	34	φ⋇	φ⋇	PROPN
ejpam-5527	282	35	2	2	NUM
ejpam-5527	282	36	,	,	PUNCT
ejpam-5527	282	37	and	and	CCONJ
ejpam-5527	282	38	so	so	ADV
ejpam-5527	282	39	ϱ̌0	ϱ̌0	VERB
ejpam-5527	282	40	≬	≬	PROPN
ejpam-5527	282	41	(	(	PUNCT
ejpam-5527	282	42	ϱ̌1	ϱ̌1	NUM
ejpam-5527	282	43	≬	≬	PROPN
ejpam-5527	282	44	(	(	PUNCT
ejpam-5527	282	45	ϱ̌1	ϱ̌1	X
ejpam-5527	282	46	≬	≬	PROPN
ejpam-5527	282	47	ϱ̌0	ϱ̌0	NUM
ejpam-5527	282	48	)	)	PUNCT
ejpam-5527	282	49	)	)	PUNCT
ejpam-5527	283	1	∈	∈	PROPN
ejpam-5527	283	2	u(ζ̄	u(ζ̄	X
ejpam-5527	283	3	;	;	PUNCT
ejpam-5527	283	4	š	š	NOUN
ejpam-5527	283	5	,	,	PUNCT
ejpam-5527	283	6	ǔ	ǔ	PROPN
ejpam-5527	283	7	)	)	PUNCT
ejpam-5527	283	8	,	,	PUNCT
ejpam-5527	283	9	i.e.	i.e.	X
ejpam-5527	283	10	,	,	PUNCT
ejpam-5527	283	11	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	ADJ
ejpam-5527	283	12	≬	≬	PROPN
ejpam-5527	283	13	(	(	PUNCT
ejpam-5527	283	14	ϱ̌1	ϱ̌1	NUM
ejpam-5527	283	15	≬	≬	PROPN
ejpam-5527	283	16	(	(	PUNCT
ejpam-5527	283	17	ϱ̌1	ϱ̌1	X
ejpam-5527	283	18	≬	≬	PROPN
ejpam-5527	283	19	ϱ̌0	ϱ̌0	NUM
ejpam-5527	283	20	)	)	PUNCT
ejpam-5527	283	21	)	)	PUNCT
ejpam-5527	283	22	)	)	PUNCT
ejpam-5527	284	1	≤	≤	NUM
ejpam-5527	284	2	š	š	X
ejpam-5527	284	3	and	and	CCONJ
ejpam-5527	284	4	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	284	5	≬	≬	PROPN
ejpam-5527	284	6	(	(	PUNCT
ejpam-5527	284	7	ϱ̌1	ϱ̌1	NUM
ejpam-5527	284	8	≬	≬	PROPN
ejpam-5527	284	9	(	(	PUNCT
ejpam-5527	284	10	ϱ̌1	ϱ̌1	X
ejpam-5527	284	11	≬	≬	PROPN
ejpam-5527	284	12	ϱ̌0	ϱ̌0	NUM
ejpam-5527	284	13	)	)	PUNCT
ejpam-5527	284	14	)	)	PUNCT
ejpam-5527	284	15	)	)	PUNCT
ejpam-5527	284	16	≥	≥	X
ejpam-5527	284	17	ǔ	ǔ	NUM
ejpam-5527	284	18	which	which	PRON
ejpam-5527	284	19	is	be	AUX
ejpam-5527	284	20	a	a	DET
ejpam-5527	284	21	contradiction	contradiction	NOUN
ejpam-5527	284	22	.	.	PUNCT
ejpam-5527	285	1	therefore	therefore	ADV
ejpam-5527	285	2	,	,	PUNCT
ejpam-5527	285	3	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	285	4	≬	≬	PROPN
ejpam-5527	285	5	(	(	PUNCT
ejpam-5527	285	6	ϱ̌1	ϱ̌1	NUM
ejpam-5527	285	7	≬	≬	PROPN
ejpam-5527	285	8	(	(	PUNCT
ejpam-5527	285	9	ϱ̌1	ϱ̌1	X
ejpam-5527	285	10	≬	≬	PROPN
ejpam-5527	285	11	ϱ̌0	ϱ̌0	NUM
ejpam-5527	285	12	)	)	PUNCT
ejpam-5527	285	13	)	)	PUNCT
ejpam-5527	285	14	)	)	PUNCT
ejpam-5527	285	15	≤	≤	NOUN
ejpam-5527	285	16	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	285	17	≬	≬	PROPN
ejpam-5527	285	18	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	285	19	)	)	PUNCT
ejpam-5527	285	20	≬	≬	PROPN
ejpam-5527	285	21	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	285	22	)	)	PUNCT
ejpam-5527	285	23	∨	∨	NUM
ejpam-5527	285	24	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	285	25	)	)	PUNCT
ejpam-5527	285	26	∨	∨	NUM
ejpam-5527	285	27	(	(	PUNCT
ejpam-5527	285	28	φ	φ	PROPN
ejpam-5527	285	29	2	2	NUM
ejpam-5527	285	30	−	−	PROPN
ejpam-5527	285	31	φ⋇	φ⋇	PROPN
ejpam-5527	285	32	2	2	NUM
ejpam-5527	285	33	)	)	PUNCT
ejpam-5527	285	34	and	and	CCONJ
ejpam-5527	285	35	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	285	36	≬	≬	PROPN
ejpam-5527	285	37	(	(	PUNCT
ejpam-5527	285	38	ϱ̌1	ϱ̌1	NUM
ejpam-5527	285	39	≬	≬	PROPN
ejpam-5527	285	40	(	(	PUNCT
ejpam-5527	285	41	ϱ̌1	ϱ̌1	X
ejpam-5527	285	42	≬	≬	PROPN
ejpam-5527	285	43	ϱ̌0	ϱ̌0	NUM
ejpam-5527	285	44	)	)	PUNCT
ejpam-5527	285	45	)	)	PUNCT
ejpam-5527	285	46	)	)	PUNCT
ejpam-5527	285	47	≥	≥	X
ejpam-5527	286	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	286	2	≬	≬	PROPN
ejpam-5527	286	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	286	4	)	)	PUNCT
ejpam-5527	286	5	≬	≬	PROPN
ejpam-5527	286	6	ϱ̌2	ϱ̌2	PART
ejpam-5527	286	7	)	)	PUNCT
ejpam-5527	286	8	∧	∧	PROPN
ejpam-5527	286	9	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	286	10	)	)	PUNCT
ejpam-5527	286	11	∧	∧	NOUN
ejpam-5527	286	12	(	(	PUNCT
ejpam-5527	286	13	−φ	−φ	NOUN
ejpam-5527	286	14	2	2	NUM
ejpam-5527	286	15	+	+	CCONJ
ejpam-5527	286	16	φ⋇	φ⋇	PROPN
ejpam-5527	286	17	2	2	NUM
ejpam-5527	286	18	)	)	PUNCT
ejpam-5527	286	19	,	,	PUNCT
ejpam-5527	286	20	for	for	ADP
ejpam-5527	286	21	all	all	DET
ejpam-5527	286	22	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	286	23	,	,	PUNCT
ejpam-5527	286	24	ϱ̌1	ϱ̌1	NUM
ejpam-5527	286	25	,	,	PUNCT
ejpam-5527	286	26	ϱ̌2	ϱ̌2	NUM
ejpam-5527	286	27	∈	∈	NOUN
ejpam-5527	286	28	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	286	29	using	use	VERB
ejpam-5527	286	30	the	the	DET
ejpam-5527	286	31	theorem	theorem	NOUN
ejpam-5527	286	32	1	1	NUM
ejpam-5527	286	33	,	,	PUNCT
ejpam-5527	286	34	we	we	PRON
ejpam-5527	286	35	conclude	conclude	VERB
ejpam-5527	286	36	that	that	SCONJ
ejpam-5527	286	37	ζ̄	ζ̄	ADV
ejpam-5527	286	38	is	be	AUX
ejpam-5527	286	39	an	an	DET
ejpam-5527	286	40	(	(	PUNCT
ejpam-5527	286	41	∈,∈	∈,∈	X
ejpam-5527	286	42	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	286	43	,	,	PUNCT
ejpam-5527	286	44	q̌φ))bffi	q̌φ))bffi	PROPN
ejpam-5527	286	45	of	of	ADP
ejpam-5527	286	46	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	286	47	theorem	theorem	ADJ
ejpam-5527	286	48	5	5	NUM
ejpam-5527	286	49	.	.	PUNCT
ejpam-5527	287	1	let	let	VERB
ejpam-5527	287	2	ζ̄	ζ̄	ADV
ejpam-5527	287	3	be	be	AUX
ejpam-5527	287	4	an	an	DET
ejpam-5527	287	5	(	(	PUNCT
ejpam-5527	287	6	∈,∈	∈,∈	X
ejpam-5527	287	7	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	287	8	,	,	PUNCT
ejpam-5527	287	9	q̌φ))-bffi	q̌φ))-bffi	PROPN
ejpam-5527	287	10	of	of	ADP
ejpam-5527	287	11	ℵ̌	ℵ̌	PROPN
ejpam-5527	287	12	,	,	PUNCT
ejpam-5527	287	13	where	where	SCONJ
ejpam-5527	287	14	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	X
ejpam-5527	287	15	≬	≬	PROPN
ejpam-5527	287	16	(	(	PUNCT
ejpam-5527	287	17	ϱ̌1	ϱ̌1	NUM
ejpam-5527	287	18	≬	≬	PROPN
ejpam-5527	287	19	(	(	PUNCT
ejpam-5527	287	20	ϱ̌1	ϱ̌1	X
ejpam-5527	287	21	≬	≬	PROPN
ejpam-5527	287	22	ϱ̌0	ϱ̌0	NUM
ejpam-5527	287	23	)	)	PUNCT
ejpam-5527	287	24	)	)	PUNCT
ejpam-5527	287	25	)	)	PUNCT
ejpam-5527	287	26	>	>	X
ejpam-5527	288	1	φ	φ	PROPN
ejpam-5527	288	2	2	2	NUM
ejpam-5527	288	3	−	−	PROPN
ejpam-5527	288	4	1	1	NUM
ejpam-5527	288	5	2	2	NUM
ejpam-5527	288	6	and	and	CCONJ
ejpam-5527	288	7	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	288	8	≬	≬	PROPN
ejpam-5527	288	9	(	(	PUNCT
ejpam-5527	288	10	ϱ̌1	ϱ̌1	NUM
ejpam-5527	288	11	≬	≬	PROPN
ejpam-5527	288	12	(	(	PUNCT
ejpam-5527	288	13	ϱ̌1	ϱ̌1	X
ejpam-5527	288	14	≬	≬	PROPN
ejpam-5527	288	15	ϱ̌0	ϱ̌0	NUM
ejpam-5527	288	16	)	)	PUNCT
ejpam-5527	288	17	)	)	PUNCT
ejpam-5527	288	18	)	)	PUNCT
ejpam-5527	289	1	<	<	X
ejpam-5527	289	2	−φ	−φ	NOUN
ejpam-5527	289	3	2	2	NUM
ejpam-5527	289	4	+	+	CCONJ
ejpam-5527	289	5	φ⋇	φ⋇	PROPN
ejpam-5527	289	6	2	2	NUM
ejpam-5527	289	7	for	for	ADP
ejpam-5527	289	8	all	all	DET
ejpam-5527	289	9	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	289	10	,	,	PUNCT
ejpam-5527	289	11	ϱ̌1	ϱ̌1	NUM
ejpam-5527	289	12	,	,	PUNCT
ejpam-5527	289	13	ϱ̌2	ϱ̌2	NUM
ejpam-5527	289	14	∈	∈	NOUN
ejpam-5527	289	15	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	289	16	then	then	ADV
ejpam-5527	289	17	ζ̄	ζ̄	ADV
ejpam-5527	289	18	is	be	AUX
ejpam-5527	289	19	an	an	DET
ejpam-5527	289	20	(	(	PUNCT
ejpam-5527	289	21	∈,∈)-bffi	∈,∈)-bffi	NOUN
ejpam-5527	289	22	of	of	ADP
ejpam-5527	289	23	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	289	24	proof	proof	NOUN
ejpam-5527	289	25	.	.	PUNCT
ejpam-5527	290	1	the	the	DET
ejpam-5527	290	2	proof	proof	NOUN
ejpam-5527	290	3	is	be	AUX
ejpam-5527	290	4	simple	simple	ADJ
ejpam-5527	290	5	with	with	ADP
ejpam-5527	290	6	theorem	theorem	ADJ
ejpam-5527	290	7	1	1	NUM
ejpam-5527	290	8	.	.	PUNCT
ejpam-5527	290	9	k.	k.	PROPN
ejpam-5527	290	10	h.	h.	PROPN
ejpam-5527	290	11	hakami	hakami	PROPN
ejpam-5527	290	12	et	et	PROPN
ejpam-5527	290	13	al	al	PROPN
ejpam-5527	290	14	.	.	PUNCT
ejpam-5527	290	15	/	/	SYM
ejpam-5527	290	16	eur	eur	PROPN
ejpam-5527	290	17	.	.	PUNCT
ejpam-5527	291	1	j.	j.	PROPN
ejpam-5527	291	2	pure	pure	PROPN
ejpam-5527	291	3	appl	appl	PROPN
ejpam-5527	291	4	.	.	PROPN
ejpam-5527	291	5	math	math	PROPN
ejpam-5527	291	6	,	,	PUNCT
ejpam-5527	291	7	17	17	NUM
ejpam-5527	291	8	(	(	PUNCT
ejpam-5527	291	9	4	4	NUM
ejpam-5527	291	10	)	)	PUNCT
ejpam-5527	291	11	(	(	PUNCT
ejpam-5527	291	12	2024	2024	NUM
ejpam-5527	291	13	)	)	PUNCT
ejpam-5527	291	14	,	,	PUNCT
ejpam-5527	291	15	3973	3973	NUM
ejpam-5527	291	16	-	-	SYM
ejpam-5527	291	17	3993	3993	NUM
ejpam-5527	291	18	3984	3984	NUM
ejpam-5527	291	19	theorem	theorem	VERB
ejpam-5527	291	20	6	6	NUM
ejpam-5527	291	21	.	.	PUNCT
ejpam-5527	292	1	let	let	VERB
ejpam-5527	292	2	∧	∧	PROPN
ejpam-5527	292	3	be	be	AUX
ejpam-5527	292	4	an	an	DET
ejpam-5527	292	5	index	index	NOUN
ejpam-5527	292	6	set	set	VERB
ejpam-5527	292	7	and	and	CCONJ
ejpam-5527	292	8	{	{	PUNCT
ejpam-5527	292	9	(	(	PUNCT
ejpam-5527	292	10	ζ̄i−	ζ̄i−	NOUN
ejpam-5527	292	11	,	,	PUNCT
ejpam-5527	292	12	ζ̄i+	ζ̄i+	NOUN
ejpam-5527	292	13	)	)	PUNCT
ejpam-5527	293	1	|	|	ADV
ejpam-5527	293	2	i	i	PRON
ejpam-5527	293	3	∈	∈	PROPN
ejpam-5527	293	4	∧	∧	PROPN
ejpam-5527	293	5	}	}	PUNCT
ejpam-5527	293	6	be	be	AUX
ejpam-5527	293	7	a	a	DET
ejpam-5527	293	8	family	family	NOUN
ejpam-5527	293	9	of	of	ADP
ejpam-5527	293	10	(	(	PUNCT
ejpam-5527	293	11	∈,∈	∈,∈	X
ejpam-5527	293	12	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	293	13	,	,	PUNCT
ejpam-5527	293	14	q̌φ))bffi	q̌φ))bffi	PROPN
ejpam-5527	293	15	of	of	ADP
ejpam-5527	293	16	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	293	17	then	then	ADV
ejpam-5527	293	18	ζ̄	ζ̄	ADV
ejpam-5527	293	19	=	=	SYM
ejpam-5527	293	20	⋂	⋂	PROPN
ejpam-5527	293	21	i∈	i∈	ADP
ejpam-5527	293	22	∧(ζ̄i−	∧(ζ̄i−	PROPN
ejpam-5527	293	23	,	,	PUNCT
ejpam-5527	293	24	ζ̄i+	ζ̄i+	NOUN
ejpam-5527	293	25	)	)	PUNCT
ejpam-5527	293	26	is	be	AUX
ejpam-5527	293	27	an	an	DET
ejpam-5527	293	28	(	(	PUNCT
ejpam-5527	293	29	∈,∈	∈,∈	X
ejpam-5527	293	30	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	293	31	,	,	PUNCT
ejpam-5527	293	32	q̌φ))-bffi	q̌φ))-bffi	PROPN
ejpam-5527	293	33	of	of	ADP
ejpam-5527	293	34	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	293	35	proof	proof	NOUN
ejpam-5527	293	36	.	.	PUNCT
ejpam-5527	294	1	let	let	VERB
ejpam-5527	294	2	us	we	PRON
ejpam-5527	294	3	take	take	VERB
ejpam-5527	294	4	(	(	PUNCT
ejpam-5527	294	5	ϱ̌0	ϱ̌0	NUM
ejpam-5527	294	6	≬	≬	PROPN
ejpam-5527	294	7	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	294	8	)	)	PUNCT
ejpam-5527	294	9	≬	≬	PROPN
ejpam-5527	294	10	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	294	11	,	,	PUNCT
ejpam-5527	294	12	ϱ̌2	ϱ̌2	VERB
ejpam-5527	294	13	∈	∈	PROPN
ejpam-5527	294	14	ℵ̌	ℵ̌	PROPN
ejpam-5527	294	15	and	and	CCONJ
ejpam-5527	294	16	š1	š1	PROPN
ejpam-5527	294	17	,	,	PUNCT
ejpam-5527	294	18	š2	š2	NOUN
ejpam-5527	294	19	∈	∈	PROPN
ejpam-5527	295	1	[	[	X
ejpam-5527	295	2	−1	−1	NOUN
ejpam-5527	295	3	,	,	PUNCT
ejpam-5527	295	4	0	0	NUM
ejpam-5527	295	5	)	)	PUNCT
ejpam-5527	295	6	,	,	PUNCT
ejpam-5527	295	7	and	and	CCONJ
ejpam-5527	295	8	ǔ1	ǔ1	ADJ
ejpam-5527	295	9	,	,	PUNCT
ejpam-5527	295	10	ǔ2	ǔ2	NUM
ejpam-5527	295	11	∈	∈	PROPN
ejpam-5527	295	12	(	(	PUNCT
ejpam-5527	295	13	0	0	NUM
ejpam-5527	295	14	,	,	PUNCT
ejpam-5527	295	15	1	1	NUM
ejpam-5527	295	16	]	]	PUNCT
ejpam-5527	295	17	be	be	AUX
ejpam-5527	295	18	such	such	ADJ
ejpam-5527	295	19	that	that	PRON
ejpam-5527	295	20	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	295	21	≬	≬	PROPN
ejpam-5527	295	22	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	295	23	)	)	PUNCT
ejpam-5527	295	24	≬	≬	PROPN
ejpam-5527	295	25	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	295	26	)	)	PUNCT
ejpam-5527	295	27	≤	≤	NOUN
ejpam-5527	295	28	š1	š1	VERB
ejpam-5527	296	1	and	and	CCONJ
ejpam-5527	296	2	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	296	3	≬	≬	PROPN
ejpam-5527	296	4	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	296	5	)	)	PUNCT
ejpam-5527	296	6	≬	≬	PROPN
ejpam-5527	296	7	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	296	8	)	)	PUNCT
ejpam-5527	296	9	≤	≤	NOUN
ejpam-5527	296	10	š2	š2	NOUN
ejpam-5527	296	11	,	,	PUNCT
ejpam-5527	296	12	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	296	13	≬	≬	PROPN
ejpam-5527	296	14	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	296	15	)	)	PUNCT
ejpam-5527	296	16	≬	≬	PROPN
ejpam-5527	296	17	ϱ̌2	ϱ̌2	PART
ejpam-5527	296	18	)	)	PUNCT
ejpam-5527	296	19	≥	≥	NOUN
ejpam-5527	296	20	ǔ1	ǔ1	ADJ
ejpam-5527	296	21	and	and	CCONJ
ejpam-5527	296	22	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	296	23	≬	≬	PROPN
ejpam-5527	296	24	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	296	25	)	)	PUNCT
ejpam-5527	296	26	≬	≬	PROPN
ejpam-5527	296	27	ϱ̌2	ϱ̌2	PART
ejpam-5527	296	28	)	)	PUNCT
ejpam-5527	296	29	≥	≥	NOUN
ejpam-5527	296	30	ǔ2	ǔ2	NUM
ejpam-5527	296	31	.	.	PUNCT
ejpam-5527	297	1	assume	assume	VERB
ejpam-5527	297	2	that	that	SCONJ
ejpam-5527	297	3	ϱ̌0	ϱ̌0	VERB
ejpam-5527	297	4	≬	≬	PROPN
ejpam-5527	297	5	(	(	PUNCT
ejpam-5527	297	6	ϱ̌1	ϱ̌1	NUM
ejpam-5527	297	7	≬	≬	PROPN
ejpam-5527	297	8	(	(	PUNCT
ejpam-5527	297	9	ϱ̌1	ϱ̌1	X
ejpam-5527	297	10	≬	≬	PROPN
ejpam-5527	297	11	ϱ̌0))š1∨š2∈	ϱ̌0))š1∨š2∈	NUM
ejpam-5527	297	12	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	297	13	,	,	PUNCT
ejpam-5527	297	14	q)ζ̄−	q)ζ̄−	PROPN
ejpam-5527	297	15	and	and	CCONJ
ejpam-5527	297	16	ϱ̌0	ϱ̌0	VERB
ejpam-5527	297	17	≬	≬	PROPN
ejpam-5527	297	18	(	(	PUNCT
ejpam-5527	297	19	ϱ̌1	ϱ̌1	NUM
ejpam-5527	297	20	≬	≬	PROPN
ejpam-5527	297	21	(	(	PUNCT
ejpam-5527	297	22	ϱ̌1	ϱ̌1	X
ejpam-5527	297	23	≬	≬	PROPN
ejpam-5527	297	24	ϱ̌0))ǔ1∧ǔ2∈	ϱ̌0))ǔ1∧ǔ2∈	NOUN
ejpam-5527	297	25	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	297	26	,	,	PUNCT
ejpam-5527	297	27	q)ζ̄+	q)ζ̄+	PROPN
ejpam-5527	297	28	.	.	PUNCT
ejpam-5527	298	1	then	then	ADV
ejpam-5527	298	2	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	298	3	≬	≬	PROPN
ejpam-5527	298	4	(	(	PUNCT
ejpam-5527	298	5	ϱ̌1	ϱ̌1	NUM
ejpam-5527	298	6	≬	≬	PROPN
ejpam-5527	298	7	(	(	PUNCT
ejpam-5527	298	8	ϱ̌1	ϱ̌1	X
ejpam-5527	298	9	≬	≬	PROPN
ejpam-5527	298	10	ϱ̌0	ϱ̌0	NUM
ejpam-5527	298	11	)	)	PUNCT
ejpam-5527	298	12	)	)	PUNCT
ejpam-5527	298	13	)	)	PUNCT
ejpam-5527	298	14	>	>	X
ejpam-5527	298	15	š1	š1	X
ejpam-5527	298	16	∨	∨	NUM
ejpam-5527	298	17	š2	š2	X
ejpam-5527	298	18	and	and	CCONJ
ejpam-5527	298	19	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	298	20	≬	≬	PROPN
ejpam-5527	298	21	(	(	PUNCT
ejpam-5527	298	22	ϱ̌1	ϱ̌1	NUM
ejpam-5527	298	23	≬	≬	PROPN
ejpam-5527	298	24	(	(	PUNCT
ejpam-5527	298	25	ϱ̌1	ϱ̌1	X
ejpam-5527	298	26	≬	≬	PROPN
ejpam-5527	298	27	ϱ̌0)))+	ϱ̌0)))+	PROPN
ejpam-5527	298	28	š1	š1	X
ejpam-5527	298	29	∨	∨	NUM
ejpam-5527	298	30	š2	š2	X
ejpam-5527	298	31	≥	≥	NOUN
ejpam-5527	298	32	φ−φ⋇	φ−φ⋇	X
ejpam-5527	298	33	,	,	PUNCT
ejpam-5527	298	34	and	and	CCONJ
ejpam-5527	298	35	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	298	36	≬	≬	PROPN
ejpam-5527	298	37	(	(	PUNCT
ejpam-5527	298	38	ϱ̌1	ϱ̌1	NUM
ejpam-5527	298	39	≬	≬	PROPN
ejpam-5527	298	40	(	(	PUNCT
ejpam-5527	298	41	ϱ̌1	ϱ̌1	X
ejpam-5527	298	42	≬	≬	PROPN
ejpam-5527	298	43	ϱ̌0	ϱ̌0	NUM
ejpam-5527	298	44	)	)	PUNCT
ejpam-5527	298	45	)	)	PUNCT
ejpam-5527	298	46	)	)	PUNCT
ejpam-5527	299	1	<	<	X
ejpam-5527	299	2	ǔ1	ǔ1	ADJ
ejpam-5527	299	3	∧	∧	PROPN
ejpam-5527	299	4	ǔ2	ǔ2	X
ejpam-5527	299	5	and	and	CCONJ
ejpam-5527	299	6	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	299	7	≬	≬	PROPN
ejpam-5527	299	8	(	(	PUNCT
ejpam-5527	299	9	ϱ̌1	ϱ̌1	NUM
ejpam-5527	299	10	≬	≬	PROPN
ejpam-5527	299	11	(	(	PUNCT
ejpam-5527	299	12	ϱ̌1	ϱ̌1	X
ejpam-5527	299	13	≬	≬	PROPN
ejpam-5527	299	14	ϱ̌0	ϱ̌0	NUM
ejpam-5527	299	15	)	)	PUNCT
ejpam-5527	299	16	)	)	PUNCT
ejpam-5527	299	17	)	)	PUNCT
ejpam-5527	300	1	+	+	CCONJ
ejpam-5527	300	2	ǔ1	ǔ1	ADJ
ejpam-5527	300	3	∧	∧	PROPN
ejpam-5527	300	4	ǔ2	ǔ2	PUNCT
ejpam-5527	300	5	≤	≤	PUNCT
ejpam-5527	300	6	−φ+φ⋇	−φ+φ⋇	PROPN
ejpam-5527	300	7	,	,	PUNCT
ejpam-5527	300	8	which	which	PRON
ejpam-5527	300	9	implies	imply	VERB
ejpam-5527	300	10	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	NUM
ejpam-5527	300	11	)	)	PUNCT
ejpam-5527	300	12	>	>	X
ejpam-5527	301	1	φ	φ	PROPN
ejpam-5527	301	2	2	2	NUM
ejpam-5527	301	3	−	−	PROPN
ejpam-5527	301	4	φ⋇	φ⋇	PROPN
ejpam-5527	301	5	2	2	NUM
ejpam-5527	301	6	and	and	CCONJ
ejpam-5527	301	7	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	NOUN
ejpam-5527	301	8	)	)	PUNCT
ejpam-5527	301	9	<	<	X
ejpam-5527	302	1	φ	φ	PROPN
ejpam-5527	302	2	2	2	NUM
ejpam-5527	302	3	−	−	PROPN
ejpam-5527	302	4	φ⋇	φ⋇	PROPN
ejpam-5527	302	5	2	2	NUM
ejpam-5527	302	6	.	.	PUNCT
ejpam-5527	303	1	(	(	PUNCT
ejpam-5527	303	2	1	1	X
ejpam-5527	303	3	)	)	PUNCT
ejpam-5527	303	4	now	now	ADV
ejpam-5527	303	5	,	,	PUNCT
ejpam-5527	303	6	we	we	PRON
ejpam-5527	303	7	define	define	VERB
ejpam-5527	303	8	∆1	∆1	PUNCT
ejpam-5527	303	9	=	=	SYM
ejpam-5527	303	10	{	{	PUNCT
ejpam-5527	303	11	i	i	NOUN
ejpam-5527	303	12	∈	∈	PROPN
ejpam-5527	303	13	∧	∧	PROPN
ejpam-5527	303	14	|	|	ADV
ejpam-5527	303	15	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	303	16	≬	≬	PROPN
ejpam-5527	303	17	(	(	PUNCT
ejpam-5527	303	18	ϱ̌1	ϱ̌1	NUM
ejpam-5527	303	19	≬	≬	PROPN
ejpam-5527	303	20	(	(	PUNCT
ejpam-5527	303	21	ϱ̌1	ϱ̌1	X
ejpam-5527	303	22	≬	≬	PROPN
ejpam-5527	303	23	ϱ̌0))š1∨š2	ϱ̌0))š1∨š2	NOUN
ejpam-5527	303	24	∈	∈	NOUN
ejpam-5527	303	25	ζ̄iť	ζ̄iť	ADJ
ejpam-5527	303	26	and	and	CCONJ
ejpam-5527	303	27	ϱ̌0	ϱ̌0	VERB
ejpam-5527	303	28	≬	≬	PROPN
ejpam-5527	303	29	(	(	PUNCT
ejpam-5527	303	30	ϱ̌1	ϱ̌1	NUM
ejpam-5527	303	31	≬	≬	PROPN
ejpam-5527	303	32	(	(	PUNCT
ejpam-5527	303	33	ϱ̌1	ϱ̌1	X
ejpam-5527	303	34	≬	≬	PROPN
ejpam-5527	303	35	ϱ̌0))ǔ1∧ǔ2	ϱ̌0))ǔ1∧ǔ2	PROPN
ejpam-5527	303	36	∈	∈	PROPN
ejpam-5527	303	37	ζ̄ip̌	ζ̄ip̌	PROPN
ejpam-5527	303	38	}	}	PUNCT
ejpam-5527	303	39	and	and	CCONJ
ejpam-5527	303	40	∆2	∆2	PROPN
ejpam-5527	303	41	=	=	PRON
ejpam-5527	303	42	{	{	PUNCT
ejpam-5527	304	1	[	[	X
ejpam-5527	304	2	{	{	PUNCT
ejpam-5527	304	3	i	i	NOUN
ejpam-5527	304	4	∈	∈	PROPN
ejpam-5527	304	5	∧	∧	PROPN
ejpam-5527	304	6	|	|	ADV
ejpam-5527	304	7	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	304	8	≬	≬	PROPN
ejpam-5527	304	9	(	(	PUNCT
ejpam-5527	304	10	ϱ̌1	ϱ̌1	NUM
ejpam-5527	304	11	≬	≬	PROPN
ejpam-5527	304	12	(	(	PUNCT
ejpam-5527	304	13	ϱ̌1	ϱ̌1	X
ejpam-5527	304	14	≬	≬	PROPN
ejpam-5527	304	15	ϱ̌0))š1∨š2(φ	ϱ̌0))š1∨š2(φ	PROPN
ejpam-5527	304	16	⋇	⋇	NOUN
ejpam-5527	304	17	,	,	PUNCT
ejpam-5527	304	18	q̌φ)ζ̄i−	q̌φ)ζ̄i−	ADJ
ejpam-5527	304	19	}	}	PUNCT
ejpam-5527	304	20	∩	∩	NOUN
ejpam-5527	304	21	{	{	PUNCT
ejpam-5527	304	22	j	j	PROPN
ejpam-5527	304	23	∈	∈	PROPN
ejpam-5527	304	24	∧	∧	PROPN
ejpam-5527	304	25	|	|	ADV
ejpam-5527	304	26	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	304	27	≬	≬	PROPN
ejpam-5527	304	28	(	(	PUNCT
ejpam-5527	304	29	ϱ̌1	ϱ̌1	NUM
ejpam-5527	304	30	≬	≬	PROPN
ejpam-5527	304	31	(	(	PUNCT
ejpam-5527	304	32	ϱ̌1	ϱ̌1	X
ejpam-5527	304	33	≬	≬	PROPN
ejpam-5527	304	34	ϱ̌0))š1∨š2∈	ϱ̌0))š1∨š2∈	NUM
ejpam-5527	304	35	ζ̄i−	ζ̄i−	NOUN
ejpam-5527	304	36	}	}	PUNCT
ejpam-5527	304	37	]	]	PUNCT
ejpam-5527	304	38	and	and	CCONJ
ejpam-5527	304	39	[	[	X
ejpam-5527	304	40	{	{	PUNCT
ejpam-5527	304	41	i	i	NOUN
ejpam-5527	304	42	∈	∈	PROPN
ejpam-5527	304	43	∧	∧	PROPN
ejpam-5527	304	44	|	|	ADV
ejpam-5527	304	45	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	304	46	≬	≬	PROPN
ejpam-5527	304	47	(	(	PUNCT
ejpam-5527	304	48	ϱ̌1	ϱ̌1	NUM
ejpam-5527	304	49	≬	≬	PROPN
ejpam-5527	304	50	(	(	PUNCT
ejpam-5527	304	51	ϱ̌1	ϱ̌1	X
ejpam-5527	304	52	≬	≬	PROPN
ejpam-5527	304	53	ϱ̌0)ǔ1∧ǔ2qζ̄i+	ϱ̌0)ǔ1∧ǔ2qζ̄i+	NOUN
ejpam-5527	304	54	}	}	PUNCT
ejpam-5527	304	55	∩	∩	NOUN
ejpam-5527	304	56	{	{	PUNCT
ejpam-5527	304	57	j	j	PROPN
ejpam-5527	304	58	∈	∈	PROPN
ejpam-5527	304	59	∧	∧	PROPN
ejpam-5527	304	60	|	|	ADV
ejpam-5527	304	61	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	304	62	≬	≬	PROPN
ejpam-5527	304	63	(	(	PUNCT
ejpam-5527	304	64	ϱ̌1	ϱ̌1	NUM
ejpam-5527	304	65	≬	≬	PROPN
ejpam-5527	304	66	(	(	PUNCT
ejpam-5527	304	67	ϱ̌1	ϱ̌1	X
ejpam-5527	304	68	≬	≬	PROPN
ejpam-5527	304	69	ϱ̌0)ǔ1∧ǔ2∈	ϱ̌0)ǔ1∧ǔ2∈	NOUN
ejpam-5527	304	70	ζ̄i+	ζ̄i+	NOUN
ejpam-5527	304	71	}	}	PUNCT
ejpam-5527	304	72	]	]	PUNCT
ejpam-5527	304	73	}	}	PUNCT
ejpam-5527	304	74	.	.	PUNCT
ejpam-5527	305	1	then	then	ADV
ejpam-5527	305	2	∧	∧	PROPN
ejpam-5527	305	3	=	=	PUNCT
ejpam-5527	305	4	∆1	∆1	NOUN
ejpam-5527	305	5	∪∆2	∪∆2	PROPN
ejpam-5527	305	6	and	and	CCONJ
ejpam-5527	305	7	∆1	∆1	NOUN
ejpam-5527	305	8	∩∆2	∩∆2	NOUN
ejpam-5527	305	9	=	=	PUNCT
ejpam-5527	305	10	∅.	∅.	VERB
ejpam-5527	305	11	if	if	SCONJ
ejpam-5527	305	12	∆2	∆2	PROPN
ejpam-5527	305	13	=	=	SYM
ejpam-5527	305	14	∅	∅	NOUN
ejpam-5527	305	15	,	,	PUNCT
ejpam-5527	305	16	then	then	ADV
ejpam-5527	305	17	ϱ̌0	ϱ̌0	VERB
ejpam-5527	305	18	≬	≬	PROPN
ejpam-5527	305	19	(	(	PUNCT
ejpam-5527	305	20	ϱ̌1	ϱ̌1	NUM
ejpam-5527	305	21	≬	≬	PROPN
ejpam-5527	305	22	(	(	PUNCT
ejpam-5527	305	23	ϱ̌1	ϱ̌1	X
ejpam-5527	305	24	≬	≬	PROPN
ejpam-5527	305	25	ϱ̌0))š1∨š2	ϱ̌0))š1∨š2	NOUN
ejpam-5527	305	26	∈	∈	PROPN
ejpam-5527	305	27	ζ̄i−	ζ̄i−	NOUN
ejpam-5527	305	28	and	and	CCONJ
ejpam-5527	305	29	ϱ̌0	ϱ̌0	VERB
ejpam-5527	305	30	≬	≬	PROPN
ejpam-5527	305	31	(	(	PUNCT
ejpam-5527	305	32	ϱ̌1	ϱ̌1	NUM
ejpam-5527	305	33	≬	≬	PROPN
ejpam-5527	305	34	(	(	PUNCT
ejpam-5527	305	35	ϱ̌1	ϱ̌1	X
ejpam-5527	305	36	≬	≬	PROPN
ejpam-5527	305	37	ϱ̌0))ǔ1∧ǔ2	ϱ̌0))ǔ1∧ǔ2	NOUN
ejpam-5527	305	38	∈	∈	PROPN
ejpam-5527	305	39	ζ̄i+	ζ̄i+	NOUN
ejpam-5527	305	40	for	for	ADP
ejpam-5527	305	41	all	all	PRON
ejpam-5527	305	42	i	i	PRON
ejpam-5527	305	43	∈	∈	PROPN
ejpam-5527	305	44	∧	∧	PROPN
ejpam-5527	305	45	,	,	PUNCT
ejpam-5527	305	46	i.e.	i.e.	X
ejpam-5527	305	47	,	,	PUNCT
ejpam-5527	305	48	ζ̄i−(ϱ̌0	ζ̄i−(ϱ̌0	ADJ
ejpam-5527	305	49	≬	≬	PROPN
ejpam-5527	305	50	(	(	PUNCT
ejpam-5527	305	51	ϱ̌1	ϱ̌1	NUM
ejpam-5527	305	52	≬	≬	PROPN
ejpam-5527	305	53	(	(	PUNCT
ejpam-5527	305	54	ϱ̌1	ϱ̌1	X
ejpam-5527	305	55	≬	≬	PROPN
ejpam-5527	305	56	ϱ̌0	ϱ̌0	NUM
ejpam-5527	305	57	)	)	PUNCT
ejpam-5527	305	58	)	)	PUNCT
ejpam-5527	305	59	)	)	PUNCT
ejpam-5527	305	60	≤	≤	NUM
ejpam-5527	305	61	š1	š1	PUNCT
ejpam-5527	305	62	∨	∨	NUM
ejpam-5527	305	63	š2	š2	X
ejpam-5527	305	64	and	and	CCONJ
ejpam-5527	305	65	ζ̄i+(ϱ̌0	ζ̄i+(ϱ̌0	PROPN
ejpam-5527	305	66	≬	≬	PROPN
ejpam-5527	305	67	(	(	PUNCT
ejpam-5527	305	68	ϱ̌1	ϱ̌1	NUM
ejpam-5527	305	69	≬	≬	PROPN
ejpam-5527	305	70	(	(	PUNCT
ejpam-5527	305	71	ϱ̌1	ϱ̌1	X
ejpam-5527	305	72	≬	≬	PROPN
ejpam-5527	305	73	ϱ̌0	ϱ̌0	NUM
ejpam-5527	305	74	)	)	PUNCT
ejpam-5527	305	75	)	)	PUNCT
ejpam-5527	305	76	)	)	PUNCT
ejpam-5527	306	1	≥	≥	NOUN
ejpam-5527	306	2	ǔ1	ǔ1	ADJ
ejpam-5527	306	3	∧	∧	PROPN
ejpam-5527	306	4	ǔ2	ǔ2	X
ejpam-5527	306	5	for	for	ADP
ejpam-5527	306	6	all	all	PRON
ejpam-5527	306	7	for	for	ADP
ejpam-5527	306	8	all	all	PRON
ejpam-5527	306	9	i	i	PRON
ejpam-5527	306	10	∈	∈	PROPN
ejpam-5527	306	11	∧	∧	PROPN
ejpam-5527	306	12	,	,	PUNCT
ejpam-5527	306	13	which	which	PRON
ejpam-5527	306	14	indicate	indicate	VERB
ejpam-5527	306	15	ζ̄i−(ϱ̌0	ζ̄i−(ϱ̌0	PRON
ejpam-5527	306	16	≬	≬	PROPN
ejpam-5527	306	17	(	(	PUNCT
ejpam-5527	306	18	ϱ̌1	ϱ̌1	NUM
ejpam-5527	306	19	≬	≬	PROPN
ejpam-5527	306	20	(	(	PUNCT
ejpam-5527	306	21	ϱ̌1	ϱ̌1	X
ejpam-5527	306	22	≬	≬	PROPN
ejpam-5527	306	23	ϱ̌0	ϱ̌0	NUM
ejpam-5527	306	24	)	)	PUNCT
ejpam-5527	306	25	)	)	PUNCT
ejpam-5527	306	26	)	)	PUNCT
ejpam-5527	306	27	≤	≤	NUM
ejpam-5527	307	1	š1	š1	PUNCT
ejpam-5527	307	2	∨	∨	NUM
ejpam-5527	307	3	š2	š2	X
ejpam-5527	307	4	and	and	CCONJ
ejpam-5527	307	5	ζ̄i+(ϱ̌0	ζ̄i+(ϱ̌0	PROPN
ejpam-5527	307	6	≬	≬	PROPN
ejpam-5527	307	7	(	(	PUNCT
ejpam-5527	307	8	ϱ̌1	ϱ̌1	NUM
ejpam-5527	307	9	≬	≬	PROPN
ejpam-5527	307	10	(	(	PUNCT
ejpam-5527	307	11	ϱ̌1	ϱ̌1	X
ejpam-5527	307	12	≬	≬	PROPN
ejpam-5527	307	13	ϱ̌0	ϱ̌0	NUM
ejpam-5527	307	14	)	)	PUNCT
ejpam-5527	307	15	)	)	PUNCT
ejpam-5527	307	16	)	)	PUNCT
ejpam-5527	308	1	≥	≥	NOUN
ejpam-5527	308	2	ǔ1	ǔ1	ADJ
ejpam-5527	308	3	∧	∧	PROPN
ejpam-5527	308	4	ǔ2	ǔ2	NOUN
ejpam-5527	308	5	.	.	PUNCT
ejpam-5527	309	1	this	this	PRON
ejpam-5527	309	2	is	be	AUX
ejpam-5527	309	3	a	a	DET
ejpam-5527	309	4	contrary	contrary	NOUN
ejpam-5527	309	5	.	.	PUNCT
ejpam-5527	310	1	hence	hence	ADV
ejpam-5527	310	2	,	,	PUNCT
ejpam-5527	310	3	for	for	ADP
ejpam-5527	310	4	every	every	DET
ejpam-5527	310	5	i	i	PROPN
ejpam-5527	310	6	∈	∈	PROPN
ejpam-5527	310	7	∆2	∆2	PROPN
ejpam-5527	310	8	,	,	PUNCT
ejpam-5527	310	9	and	and	CCONJ
ejpam-5527	310	10	so	so	ADV
ejpam-5527	310	11	,	,	PUNCT
ejpam-5527	310	12	∆2	∆2	PROPN
ejpam-5527	310	13	̸=	̸=	PROPN
ejpam-5527	310	14	∅	∅	NOUN
ejpam-5527	310	15	,	,	PUNCT
ejpam-5527	310	16	we	we	PRON
ejpam-5527	310	17	have	have	VERB
ejpam-5527	310	18	ζ̄i−(ϱ̌0	ζ̄i−(ϱ̌0	NOUN
ejpam-5527	310	19	≬	≬	PROPN
ejpam-5527	310	20	(	(	PUNCT
ejpam-5527	310	21	ϱ̌1	ϱ̌1	NUM
ejpam-5527	310	22	≬	≬	PROPN
ejpam-5527	310	23	(	(	PUNCT
ejpam-5527	310	24	ϱ̌1	ϱ̌1	X
ejpam-5527	310	25	≬	≬	PROPN
ejpam-5527	310	26	ϱ̌0	ϱ̌0	NUM
ejpam-5527	310	27	)	)	PUNCT
ejpam-5527	310	28	)	)	PUNCT
ejpam-5527	310	29	)	)	PUNCT
ejpam-5527	310	30	>	>	X
ejpam-5527	311	1	š1	š1	X
ejpam-5527	311	2	∨	∨	NUM
ejpam-5527	311	3	š2	š2	X
ejpam-5527	311	4	and	and	CCONJ
ejpam-5527	311	5	ζ̄i−(ϱ̌0	ζ̄i−(ϱ̌0	ADJ
ejpam-5527	311	6	≬	≬	PROPN
ejpam-5527	311	7	(	(	PUNCT
ejpam-5527	311	8	ϱ̌1	ϱ̌1	NUM
ejpam-5527	311	9	≬	≬	PROPN
ejpam-5527	311	10	(	(	PUNCT
ejpam-5527	311	11	ϱ̌1	ϱ̌1	X
ejpam-5527	311	12	≬	≬	PROPN
ejpam-5527	311	13	ϱ̌0	ϱ̌0	NUM
ejpam-5527	311	14	)	)	PUNCT
ejpam-5527	311	15	)	)	PUNCT
ejpam-5527	311	16	)	)	PUNCT
ejpam-5527	312	1	+	+	CCONJ
ejpam-5527	312	2	š1	š1	X
ejpam-5527	312	3	∨	∨	NUM
ejpam-5527	312	4	š2	š2	VERB
ejpam-5527	312	5	<	<	X
ejpam-5527	312	6	φ−	φ−	PROPN
ejpam-5527	312	7	φ⋇	φ⋇	PROPN
ejpam-5527	312	8	,	,	PUNCT
ejpam-5527	312	9	and	and	CCONJ
ejpam-5527	312	10	ζ̄i+(ϱ̌0	ζ̄i+(ϱ̌0	PROPN
ejpam-5527	312	11	≬	≬	PROPN
ejpam-5527	312	12	(	(	PUNCT
ejpam-5527	312	13	ϱ̌1	ϱ̌1	NUM
ejpam-5527	312	14	≬	≬	PROPN
ejpam-5527	312	15	(	(	PUNCT
ejpam-5527	312	16	ϱ̌1	ϱ̌1	X
ejpam-5527	312	17	≬	≬	PROPN
ejpam-5527	312	18	ϱ̌0	ϱ̌0	NUM
ejpam-5527	312	19	)	)	PUNCT
ejpam-5527	312	20	)	)	PUNCT
ejpam-5527	312	21	)	)	PUNCT
ejpam-5527	313	1	<	<	X
ejpam-5527	313	2	ǔ1	ǔ1	ADJ
ejpam-5527	313	3	∧	∧	PROPN
ejpam-5527	313	4	ǔ2	ǔ2	X
ejpam-5527	313	5	and	and	CCONJ
ejpam-5527	313	6	ζ̄i+(ϱ̌0	ζ̄i+(ϱ̌0	PROPN
ejpam-5527	313	7	≬	≬	PROPN
ejpam-5527	313	8	(	(	PUNCT
ejpam-5527	313	9	ϱ̌1	ϱ̌1	NUM
ejpam-5527	313	10	≬	≬	PROPN
ejpam-5527	313	11	(	(	PUNCT
ejpam-5527	313	12	ϱ̌1	ϱ̌1	X
ejpam-5527	313	13	≬	≬	PROPN
ejpam-5527	313	14	ϱ̌0	ϱ̌0	NUM
ejpam-5527	313	15	)	)	PUNCT
ejpam-5527	313	16	)	)	PUNCT
ejpam-5527	313	17	)	)	PUNCT
ejpam-5527	314	1	+	+	CCONJ
ejpam-5527	314	2	ǔ1	ǔ1	ADJ
ejpam-5527	314	3	∧	∧	PROPN
ejpam-5527	314	4	ǔ2	ǔ2	X
ejpam-5527	314	5	>	>	PUNCT
ejpam-5527	314	6	−φ+	−φ+	NOUN
ejpam-5527	314	7	φ⋇.	φ⋇.	NOUN
ejpam-5527	314	8	it	it	PRON
ejpam-5527	314	9	follows	follow	VERB
ejpam-5527	314	10	that	that	SCONJ
ejpam-5527	314	11	š1	š1	PROPN
ejpam-5527	314	12	∨	∨	NUM
ejpam-5527	314	13	š2	š2	X
ejpam-5527	314	14	<	<	X
ejpam-5527	314	15	φ	φ	PROPN
ejpam-5527	314	16	2	2	NUM
ejpam-5527	314	17	−	−	PROPN
ejpam-5527	314	18	φ⋇	φ⋇	PROPN
ejpam-5527	314	19	2	2	NUM
ejpam-5527	314	20	and	and	CCONJ
ejpam-5527	314	21	ǔ1	ǔ1	ADJ
ejpam-5527	314	22	∧	∧	PROPN
ejpam-5527	314	23	ǔ2	ǔ2	PUNCT
ejpam-5527	314	24	>	>	X
ejpam-5527	314	25	−φ	−φ	NOUN
ejpam-5527	314	26	2	2	NUM
ejpam-5527	314	27	+	+	CCONJ
ejpam-5527	314	28	φ⋇	φ⋇	PROPN
ejpam-5527	314	29	2	2	NUM
ejpam-5527	314	30	.	.	PUNCT
ejpam-5527	315	1	now	now	ADV
ejpam-5527	315	2	,	,	PUNCT
ejpam-5527	315	3	ϱ̌0	ϱ̌0	NUM
ejpam-5527	315	4	≬	≬	PROPN
ejpam-5527	315	5	(	(	PUNCT
ejpam-5527	315	6	ϱ̌1	ϱ̌1	NUM
ejpam-5527	315	7	≬	≬	PROPN
ejpam-5527	315	8	(	(	PUNCT
ejpam-5527	315	9	ϱ̌1	ϱ̌1	X
ejpam-5527	315	10	≬	≬	PROPN
ejpam-5527	315	11	ϱ̌0))š1	ϱ̌0))š1	PROPN
ejpam-5527	315	12	∈	∈	PROPN
ejpam-5527	315	13	ζ̄−	ζ̄−	NOUN
ejpam-5527	315	14	and	and	CCONJ
ejpam-5527	315	15	ϱ̌0	ϱ̌0	VERB
ejpam-5527	315	16	≬	≬	PROPN
ejpam-5527	315	17	(	(	PUNCT
ejpam-5527	315	18	ϱ̌1	ϱ̌1	NUM
ejpam-5527	315	19	≬	≬	PROPN
ejpam-5527	315	20	(	(	PUNCT
ejpam-5527	315	21	ϱ̌1	ϱ̌1	X
ejpam-5527	315	22	≬	≬	PROPN
ejpam-5527	315	23	ϱ̌0))ǔ1	ϱ̌0))ǔ1	NOUN
ejpam-5527	315	24	∈	∈	NOUN
ejpam-5527	315	25	ζ̄+	ζ̄+	PUNCT
ejpam-5527	315	26	⇒	⇒	NOUN
ejpam-5527	315	27	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	315	28	≬	≬	PROPN
ejpam-5527	315	29	(	(	PUNCT
ejpam-5527	315	30	ϱ̌1	ϱ̌1	NUM
ejpam-5527	315	31	≬	≬	PROPN
ejpam-5527	315	32	(	(	PUNCT
ejpam-5527	315	33	ϱ̌1	ϱ̌1	X
ejpam-5527	315	34	≬	≬	PROPN
ejpam-5527	315	35	ϱ̌0	ϱ̌0	NUM
ejpam-5527	315	36	)	)	PUNCT
ejpam-5527	315	37	)	)	PUNCT
ejpam-5527	315	38	)	)	PUNCT
ejpam-5527	316	1	≤	≤	NUM
ejpam-5527	316	2	š1	š1	ADV
ejpam-5527	316	3	and	and	CCONJ
ejpam-5527	316	4	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	316	5	≬	≬	PROPN
ejpam-5527	316	6	(	(	PUNCT
ejpam-5527	316	7	ϱ̌1	ϱ̌1	NUM
ejpam-5527	316	8	≬	≬	PROPN
ejpam-5527	316	9	(	(	PUNCT
ejpam-5527	316	10	ϱ̌1	ϱ̌1	X
ejpam-5527	316	11	≬	≬	PROPN
ejpam-5527	316	12	ϱ̌0	ϱ̌0	NUM
ejpam-5527	316	13	)	)	PUNCT
ejpam-5527	316	14	)	)	PUNCT
ejpam-5527	316	15	)	)	PUNCT
ejpam-5527	317	1	≥	≥	NOUN
ejpam-5527	317	2	ǔ1	ǔ1	ADJ
ejpam-5527	317	3	,	,	PUNCT
ejpam-5527	317	4	and	and	CCONJ
ejpam-5527	317	5	thus	thus	ADV
ejpam-5527	317	6	,	,	PUNCT
ejpam-5527	317	7	ζ̄i−((ϱ̌0	ζ̄i−((ϱ̌0	X
ejpam-5527	317	8	≬	≬	PROPN
ejpam-5527	317	9	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	317	10	)	)	PUNCT
ejpam-5527	317	11	≬	≬	PROPN
ejpam-5527	317	12	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	317	13	)	)	PUNCT
ejpam-5527	317	14	≤	≤	NOUN
ejpam-5527	317	15	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	317	16	≬	≬	PROPN
ejpam-5527	317	17	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	317	18	)	)	PUNCT
ejpam-5527	317	19	≬	≬	PROPN
ejpam-5527	317	20	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	317	21	)	)	PUNCT
ejpam-5527	317	22	≤	≤	NOUN
ejpam-5527	317	23	š1	š1	X
ejpam-5527	317	24	≤	≤	NUM
ejpam-5527	317	25	š1	š1	PUNCT
ejpam-5527	317	26	∨	∨	X
ejpam-5527	317	27	š2	š2	X
ejpam-5527	317	28	<	<	X
ejpam-5527	317	29	φ	φ	PROPN
ejpam-5527	317	30	2	2	NUM
ejpam-5527	317	31	−	−	PROPN
ejpam-5527	317	32	φ⋇	φ⋇	PROPN
ejpam-5527	317	33	2	2	NUM
ejpam-5527	317	34	k.	k.	PROPN
ejpam-5527	317	35	h.	h.	PROPN
ejpam-5527	317	36	hakami	hakami	PROPN
ejpam-5527	317	37	et	et	PROPN
ejpam-5527	317	38	al	al	PROPN
ejpam-5527	317	39	.	.	PUNCT
ejpam-5527	317	40	/	/	SYM
ejpam-5527	317	41	eur	eur	PROPN
ejpam-5527	317	42	.	.	PUNCT
ejpam-5527	318	1	j.	j.	PROPN
ejpam-5527	318	2	pure	pure	PROPN
ejpam-5527	318	3	appl	appl	PROPN
ejpam-5527	318	4	.	.	PROPN
ejpam-5527	318	5	math	math	PROPN
ejpam-5527	318	6	,	,	PUNCT
ejpam-5527	318	7	17	17	NUM
ejpam-5527	318	8	(	(	PUNCT
ejpam-5527	318	9	4	4	NUM
ejpam-5527	318	10	)	)	PUNCT
ejpam-5527	318	11	(	(	PUNCT
ejpam-5527	318	12	2024	2024	NUM
ejpam-5527	318	13	)	)	PUNCT
ejpam-5527	318	14	,	,	PUNCT
ejpam-5527	318	15	3973	3973	NUM
ejpam-5527	318	16	-	-	SYM
ejpam-5527	318	17	3993	3993	NUM
ejpam-5527	318	18	3985	3985	NUM
ejpam-5527	318	19	and	and	CCONJ
ejpam-5527	318	20	ζ̄ip̌((ϱ̌0	ζ̄ip̌((ϱ̌0	NOUN
ejpam-5527	318	21	≬	≬	PROPN
ejpam-5527	318	22	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	318	23	)	)	PUNCT
ejpam-5527	318	24	≬	≬	PROPN
ejpam-5527	318	25	ϱ̌2	ϱ̌2	PART
ejpam-5527	318	26	)	)	PUNCT
ejpam-5527	318	27	≥	≥	NOUN
ejpam-5527	319	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	319	2	≬	≬	PROPN
ejpam-5527	319	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	319	4	)	)	PUNCT
ejpam-5527	319	5	≬	≬	PROPN
ejpam-5527	319	6	ϱ̌2	ϱ̌2	PART
ejpam-5527	319	7	)	)	PUNCT
ejpam-5527	319	8	≥	≥	NOUN
ejpam-5527	319	9	ǔ1	ǔ1	ADJ
ejpam-5527	319	10	≥	≥	X
ejpam-5527	319	11	ǔ1	ǔ1	ADP
ejpam-5527	319	12	∧	∧	PROPN
ejpam-5527	319	13	ǔ2	ǔ2	X
ejpam-5527	319	14	>	>	X
ejpam-5527	319	15	−φ	−φ	NOUN
ejpam-5527	319	16	2	2	NUM
ejpam-5527	319	17	+	+	CCONJ
ejpam-5527	319	18	φ⋇	φ⋇	PROPN
ejpam-5527	319	19	2	2	NUM
ejpam-5527	319	20	for	for	ADP
ejpam-5527	319	21	all	all	PRON
ejpam-5527	319	22	i	i	PRON
ejpam-5527	319	23	∈	∈	PROPN
ejpam-5527	319	24	∧	∧	PROPN
ejpam-5527	319	25	.	.	PUNCT
ejpam-5527	320	1	similarly	similarly	ADV
ejpam-5527	320	2	,	,	PUNCT
ejpam-5527	320	3	we	we	PRON
ejpam-5527	320	4	get	get	VERB
ejpam-5527	320	5	ζ̄i−((ϱ̌0	ζ̄i−((ϱ̌0	ADJ
ejpam-5527	320	6	≬	≬	PROPN
ejpam-5527	320	7	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	320	8	)	)	PUNCT
ejpam-5527	320	9	≬	≬	PROPN
ejpam-5527	320	10	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	320	11	)	)	PUNCT
ejpam-5527	320	12	<	<	X
ejpam-5527	320	13	φ	φ	PROPN
ejpam-5527	320	14	2	2	NUM
ejpam-5527	320	15	−	−	PROPN
ejpam-5527	320	16	φ⋇	φ⋇	PROPN
ejpam-5527	320	17	2	2	NUM
ejpam-5527	320	18	and	and	CCONJ
ejpam-5527	320	19	ζ̄i+(ϱ̌2	ζ̄i+(ϱ̌2	NOUN
ejpam-5527	320	20	)	)	PUNCT
ejpam-5527	320	21	>	>	PUNCT
ejpam-5527	321	1	−φ	−φ	NOUN
ejpam-5527	321	2	2	2	NUM
ejpam-5527	321	3	+	+	CCONJ
ejpam-5527	321	4	φ⋇	φ⋇	PROPN
ejpam-5527	321	5	2	2	NUM
ejpam-5527	321	6	for	for	ADP
ejpam-5527	321	7	all	all	PRON
ejpam-5527	321	8	i	i	PRON
ejpam-5527	321	9	∈	∈	PROPN
ejpam-5527	321	10	∧	∧	PROPN
ejpam-5527	321	11	.	.	PUNCT
ejpam-5527	322	1	we	we	PRON
ejpam-5527	322	2	suppose	suppose	VERB
ejpam-5527	322	3	that	that	SCONJ
ejpam-5527	322	4	š	š	AUX
ejpam-5527	322	5	=	=	SYM
ejpam-5527	322	6	ζ̄i−((ϱ̌0	ζ̄i−((ϱ̌0	X
ejpam-5527	322	7	≬	≬	PROPN
ejpam-5527	322	8	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	322	9	)	)	PUNCT
ejpam-5527	322	10	≬	≬	PROPN
ejpam-5527	322	11	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	322	12	)	)	PUNCT
ejpam-5527	322	13	>	>	X
ejpam-5527	323	1	φ	φ	PROPN
ejpam-5527	323	2	2	2	NUM
ejpam-5527	323	3	−	−	PROPN
ejpam-5527	323	4	φ⋇	φ⋇	PROPN
ejpam-5527	323	5	2	2	NUM
ejpam-5527	323	6	and	and	CCONJ
ejpam-5527	323	7	ǔ	ǔ	NOUN
ejpam-5527	323	8	=	=	SYM
ejpam-5527	323	9	ζ̄i+(ϱ̌2	ζ̄i+(ϱ̌2	NOUN
ejpam-5527	323	10	)	)	PUNCT
ejpam-5527	323	11	<	<	X
ejpam-5527	323	12	−φ	−φ	NOUN
ejpam-5527	323	13	2	2	NUM
ejpam-5527	323	14	+	+	CCONJ
ejpam-5527	323	15	φ⋇	φ⋇	PROPN
ejpam-5527	323	16	2	2	NUM
ejpam-5527	323	17	.	.	PUNCT
ejpam-5527	324	1	taking	take	VERB
ejpam-5527	324	2	that	that	PRON
ejpam-5527	324	3	š	š	PROPN
ejpam-5527	324	4	>	>	X
ejpam-5527	324	5	ť	ť	PROPN
ejpam-5527	324	6	>	>	X
ejpam-5527	324	7	φ	φ	PROPN
ejpam-5527	324	8	2	2	NUM
ejpam-5527	324	9	−	−	PROPN
ejpam-5527	324	10	φ⋇	φ⋇	PROPN
ejpam-5527	324	11	2	2	NUM
ejpam-5527	324	12	and	and	CCONJ
ejpam-5527	324	13	ǔ	ǔ	NOUN
ejpam-5527	324	14	<	<	X
ejpam-5527	324	15	v̌	v̌	X
ejpam-5527	324	16	<	<	X
ejpam-5527	324	17	−φ	−φ	NOUN
ejpam-5527	324	18	2	2	NUM
ejpam-5527	324	19	+	+	CCONJ
ejpam-5527	324	20	φ⋇	φ⋇	PROPN
ejpam-5527	324	21	2	2	NUM
ejpam-5527	324	22	,	,	PUNCT
ejpam-5527	324	23	we	we	PRON
ejpam-5527	324	24	get	get	VERB
ejpam-5527	324	25	(	(	PUNCT
ejpam-5527	324	26	(	(	PUNCT
ejpam-5527	324	27	ϱ̌0	ϱ̌0	NUM
ejpam-5527	324	28	≬	≬	PROPN
ejpam-5527	324	29	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	324	30	)	)	PUNCT
ejpam-5527	324	31	≬	≬	PROPN
ejpam-5527	324	32	ϱ̌2)ť	ϱ̌2)ť	PROPN
ejpam-5527	324	33	∈	∈	PROPN
ejpam-5527	324	34	ζ̄i−(ϱ̌0	ζ̄i−(ϱ̌0	NOUN
ejpam-5527	324	35	≬	≬	PROPN
ejpam-5527	324	36	(	(	PUNCT
ejpam-5527	324	37	ϱ̌1	ϱ̌1	NUM
ejpam-5527	324	38	≬	≬	PROPN
ejpam-5527	324	39	(	(	PUNCT
ejpam-5527	324	40	ϱ̌1	ϱ̌1	X
ejpam-5527	324	41	≬	≬	PROPN
ejpam-5527	324	42	ϱ̌0	ϱ̌0	NUM
ejpam-5527	324	43	)	)	PUNCT
ejpam-5527	324	44	)	)	PUNCT
ejpam-5527	324	45	and	and	CCONJ
ejpam-5527	324	46	ϱ̌2	ϱ̌2	NUM
ejpam-5527	324	47	ť	ť	PROPN
ejpam-5527	324	48	∈	∈	PROPN
ejpam-5527	324	49	ζ̄i−(ϱ̌0	ζ̄i−(ϱ̌0	NOUN
ejpam-5527	324	50	≬	≬	PROPN
ejpam-5527	324	51	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	324	52	)	)	PUNCT
ejpam-5527	324	53	,	,	PUNCT
ejpam-5527	324	54	but	but	CCONJ
ejpam-5527	324	55	ϱ̌0	ϱ̌0	VERB
ejpam-5527	324	56	≬	≬	PROPN
ejpam-5527	324	57	(	(	PUNCT
ejpam-5527	324	58	ϱ̌1	ϱ̌1	NUM
ejpam-5527	324	59	≬	≬	PROPN
ejpam-5527	324	60	(	(	PUNCT
ejpam-5527	324	61	ϱ̌1	ϱ̌1	X
ejpam-5527	324	62	≬	≬	PROPN
ejpam-5527	324	63	ϱ̌0))ť∨ť	ϱ̌0))ť∨ť	NOUN
ejpam-5527	324	64	=	=	SYM
ejpam-5527	324	65	(	(	PUNCT
ejpam-5527	324	66	ϱ̌0	ϱ̌0	NUM
ejpam-5527	324	67	≬	≬	PROPN
ejpam-5527	324	68	(	(	PUNCT
ejpam-5527	324	69	ϱ̌1	ϱ̌1	NUM
ejpam-5527	324	70	≬	≬	PROPN
ejpam-5527	324	71	(	(	PUNCT
ejpam-5527	324	72	ϱ̌1	ϱ̌1	NUM
ejpam-5527	324	73	≬	≬	PROPN
ejpam-5527	324	74	ϱ̌0)))ť∈	ϱ̌0)))ť∈	PROPN
ejpam-5527	324	75	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	324	76	,	,	PUNCT
ejpam-5527	324	77	q)ζ̄i−	q)ζ̄i−	NOUN
ejpam-5527	324	78	and	and	CCONJ
ejpam-5527	324	79	(	(	PUNCT
ejpam-5527	324	80	(	(	PUNCT
ejpam-5527	324	81	ϱ̌0	ϱ̌0	NUM
ejpam-5527	324	82	≬	≬	PROPN
ejpam-5527	324	83	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	324	84	)	)	PUNCT
ejpam-5527	324	85	≬	≬	PROPN
ejpam-5527	324	86	ϱ̌2)v̌	ϱ̌2)v̌	NUM
ejpam-5527	324	87	∈	∈	PROPN
ejpam-5527	324	88	ζ̄ip̌(ϱ̌0	ζ̄ip̌(ϱ̌0	PUNCT
ejpam-5527	324	89	≬	≬	PROPN
ejpam-5527	324	90	(	(	PUNCT
ejpam-5527	324	91	ϱ̌1	ϱ̌1	NUM
ejpam-5527	324	92	≬	≬	PROPN
ejpam-5527	324	93	(	(	PUNCT
ejpam-5527	324	94	ϱ̌1	ϱ̌1	X
ejpam-5527	324	95	≬	≬	PROPN
ejpam-5527	324	96	ϱ̌0	ϱ̌0	NUM
ejpam-5527	324	97	)	)	PUNCT
ejpam-5527	324	98	)	)	PUNCT
ejpam-5527	324	99	)	)	PUNCT
ejpam-5527	324	100	and	and	CCONJ
ejpam-5527	324	101	ϱ̌1v̌	ϱ̌1v̌	VERB
ejpam-5527	324	102	∈	∈	PROPN
ejpam-5527	324	103	ζ̄ip̌(ϱ̌0	ζ̄ip̌(ϱ̌0	PUNCT
ejpam-5527	325	1	≬	≬	PROPN
ejpam-5527	325	2	(	(	PUNCT
ejpam-5527	325	3	ϱ̌1	ϱ̌1	NUM
ejpam-5527	325	4	≬	≬	PROPN
ejpam-5527	325	5	(	(	PUNCT
ejpam-5527	325	6	ϱ̌1	ϱ̌1	X
ejpam-5527	325	7	≬	≬	PROPN
ejpam-5527	325	8	ϱ̌0	ϱ̌0	NUM
ejpam-5527	325	9	)	)	PUNCT
ejpam-5527	325	10	)	)	PUNCT
ejpam-5527	325	11	)	)	PUNCT
ejpam-5527	325	12	,	,	PUNCT
ejpam-5527	325	13	but	but	CCONJ
ejpam-5527	325	14	ϱ̌0	ϱ̌0	VERB
ejpam-5527	325	15	≬	≬	PROPN
ejpam-5527	325	16	(	(	PUNCT
ejpam-5527	325	17	ϱ̌1	ϱ̌1	NUM
ejpam-5527	325	18	≬	≬	PROPN
ejpam-5527	325	19	(	(	PUNCT
ejpam-5527	325	20	ϱ̌1	ϱ̌1	NUM
ejpam-5527	325	21	≬	≬	PROPN
ejpam-5527	325	22	ϱ̌0))v̌∧v̌	ϱ̌0))v̌∧v̌	NOUN
ejpam-5527	325	23	=	=	SYM
ejpam-5527	325	24	ϱ̌0v̌∈	ϱ̌0v̌∈	PROPN
ejpam-5527	325	25	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	325	26	,	,	PUNCT
ejpam-5527	325	27	q)ζ̄ip̌	q)ζ̄ip̌	PROPN
ejpam-5527	325	28	.	.	PUNCT
ejpam-5527	326	1	this	this	PRON
ejpam-5527	326	2	contradicts	contradict	VERB
ejpam-5527	326	3	that	that	SCONJ
ejpam-5527	326	4	ζ̄	ζ̄	ADV
ejpam-5527	326	5	is	be	AUX
ejpam-5527	326	6	an	an	DET
ejpam-5527	326	7	(	(	PUNCT
ejpam-5527	326	8	∈,∈	∈,∈	X
ejpam-5527	326	9	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	326	10	,	,	PUNCT
ejpam-5527	326	11	q̌φ	q̌φ	PROPN
ejpam-5527	326	12	)	)	PUNCT
ejpam-5527	326	13	)	)	PUNCT
ejpam-5527	327	1	−	−	PROPN
ejpam-5527	327	2	bffi	bffi	PROPN
ejpam-5527	327	3	of	of	ADP
ejpam-5527	327	4	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	327	5	hence	hence	ADV
ejpam-5527	327	6	,	,	PUNCT
ejpam-5527	327	7	ζ̄i+(ϱ̌0	ζ̄i+(ϱ̌0	PROPN
ejpam-5527	327	8	≬	≬	PROPN
ejpam-5527	327	9	(	(	PUNCT
ejpam-5527	327	10	ϱ̌1	ϱ̌1	NUM
ejpam-5527	327	11	≬	≬	PROPN
ejpam-5527	327	12	(	(	PUNCT
ejpam-5527	327	13	ϱ̌1	ϱ̌1	X
ejpam-5527	327	14	≬	≬	PROPN
ejpam-5527	327	15	ϱ̌0	ϱ̌0	NUM
ejpam-5527	327	16	)	)	PUNCT
ejpam-5527	327	17	)	)	PUNCT
ejpam-5527	327	18	)	)	PUNCT
ejpam-5527	327	19	≤	≤	NUM
ejpam-5527	327	20	φ	φ	NUM
ejpam-5527	327	21	2	2	NUM
ejpam-5527	327	22	−	−	PROPN
ejpam-5527	327	23	φ⋇	φ⋇	PROPN
ejpam-5527	327	24	2	2	NUM
ejpam-5527	327	25	and	and	CCONJ
ejpam-5527	327	26	ζ̄i+(ϱ̌2	ζ̄i+(ϱ̌2	NOUN
ejpam-5527	327	27	)	)	PUNCT
ejpam-5527	327	28	≥	≥	NOUN
ejpam-5527	327	29	−φ	−φ	NOUN
ejpam-5527	327	30	2	2	NUM
ejpam-5527	327	31	+	+	CCONJ
ejpam-5527	327	32	φ⋇	φ⋇	PROPN
ejpam-5527	327	33	2	2	NUM
ejpam-5527	327	34	for	for	ADP
ejpam-5527	327	35	all	all	PRON
ejpam-5527	327	36	i	i	PRON
ejpam-5527	327	37	∈	∈	PROPN
ejpam-5527	327	38	∧	∧	PROPN
ejpam-5527	327	39	,	,	PUNCT
ejpam-5527	327	40	so	so	ADV
ejpam-5527	327	41	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	327	42	)	)	PUNCT
ejpam-5527	327	43	≤	≤	NUM
ejpam-5527	327	44	φ	φ	NUM
ejpam-5527	327	45	2	2	NUM
ejpam-5527	327	46	−	−	PROPN
ejpam-5527	327	47	φ⋇	φ⋇	PROPN
ejpam-5527	327	48	2	2	NUM
ejpam-5527	327	49	and	and	CCONJ
ejpam-5527	327	50	ζ̄+(ǧ	ζ̄+(ǧ	NOUN
ejpam-5527	327	51	)	)	PUNCT
ejpam-5527	327	52	≥	≥	NOUN
ejpam-5527	327	53	(	(	PUNCT
ejpam-5527	327	54	−φ	−φ	NOUN
ejpam-5527	327	55	2	2	NUM
ejpam-5527	327	56	+	+	CCONJ
ejpam-5527	327	57	φ⋇	φ⋇	PROPN
ejpam-5527	327	58	2	2	NUM
ejpam-5527	327	59	)	)	PUNCT
ejpam-5527	327	60	which	which	PRON
ejpam-5527	327	61	contradicts	contradict	VERB
ejpam-5527	327	62	1	1	NUM
ejpam-5527	327	63	.	.	PUNCT
ejpam-5527	327	64	therefore	therefore	ADV
ejpam-5527	327	65	,	,	PUNCT
ejpam-5527	327	66	ϱ̌0	ϱ̌0	ADV
ejpam-5527	327	67	≬	≬	PROPN
ejpam-5527	327	68	(	(	PUNCT
ejpam-5527	327	69	ϱ̌1	ϱ̌1	NUM
ejpam-5527	327	70	≬	≬	PROPN
ejpam-5527	327	71	(	(	PUNCT
ejpam-5527	327	72	ϱ̌1	ϱ̌1	X
ejpam-5527	327	73	≬	≬	PROPN
ejpam-5527	327	74	ϱ̌0))š1∨š2	ϱ̌0))š1∨š2	NOUN
ejpam-5527	327	75	∈	∈	PROPN
ejpam-5527	327	76	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	327	77	,	,	PUNCT
ejpam-5527	327	78	q)ζ̄−	q)ζ̄−	PROPN
ejpam-5527	327	79	and	and	CCONJ
ejpam-5527	327	80	ϱ̌0	ϱ̌0	VERB
ejpam-5527	327	81	≬	≬	PROPN
ejpam-5527	327	82	(	(	PUNCT
ejpam-5527	327	83	ϱ̌1	ϱ̌1	NUM
ejpam-5527	327	84	≬	≬	PROPN
ejpam-5527	327	85	(	(	PUNCT
ejpam-5527	327	86	ϱ̌1	ϱ̌1	NUM
ejpam-5527	327	87	≬	≬	PROPN
ejpam-5527	327	88	ϱ̌0))ǔ1∧ǔ2	ϱ̌0))ǔ1∧ǔ2	PROPN
ejpam-5527	327	89	∈	∈	PROPN
ejpam-5527	327	90	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	327	91	,	,	PUNCT
ejpam-5527	327	92	q)ζ̄+	q)ζ̄+	PROPN
ejpam-5527	327	93	and	and	CCONJ
ejpam-5527	327	94	consequently	consequently	ADV
ejpam-5527	327	95	,	,	PUNCT
ejpam-5527	327	96	ζ̄	ζ̄	ADV
ejpam-5527	327	97	is	be	AUX
ejpam-5527	327	98	an	an	DET
ejpam-5527	327	99	(	(	PUNCT
ejpam-5527	327	100	∈,∈	∈,∈	X
ejpam-5527	327	101	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	327	102	,	,	PUNCT
ejpam-5527	327	103	q̌φ))bffi	q̌φ))bffi	PROPN
ejpam-5527	327	104	of	of	ADP
ejpam-5527	327	105	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	327	106	for	for	ADP
ejpam-5527	327	107	any	any	DET
ejpam-5527	327	108	bfs	bfs	NOUN
ejpam-5527	327	109	ζ̄	ζ̄	ADV
ejpam-5527	327	110	in	in	ADP
ejpam-5527	327	111	ℵ̌	ℵ̌	PROPN
ejpam-5527	327	112	,	,	PUNCT
ejpam-5527	327	113	where	where	SCONJ
ejpam-5527	327	114	š	š	PROPN
ejpam-5527	327	115	∈	∈	NOUN
ejpam-5527	328	1	[	[	X
ejpam-5527	328	2	1	1	NUM
ejpam-5527	328	3	,	,	PUNCT
ejpam-5527	328	4	0	0	NUM
ejpam-5527	328	5	)	)	PUNCT
ejpam-5527	328	6	and	and	CCONJ
ejpam-5527	328	7	ǔ	ǔ	SYM
ejpam-5527	328	8	∈	∈	PROPN
ejpam-5527	328	9	(	(	PUNCT
ejpam-5527	328	10	0	0	NUM
ejpam-5527	328	11	,	,	PUNCT
ejpam-5527	328	12	1	1	NUM
ejpam-5527	328	13	]	]	PUNCT
ejpam-5527	328	14	,	,	PUNCT
ejpam-5527	328	15	we	we	PRON
ejpam-5527	328	16	denote	denote	VERB
ejpam-5527	328	17	ζ̄š−	ζ̄š−	NOUN
ejpam-5527	328	18	=	=	SYM
ejpam-5527	328	19	{	{	PUNCT
ejpam-5527	328	20	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	328	21	,	,	PUNCT
ejpam-5527	328	22	ϱ̌2	ϱ̌2	VERB
ejpam-5527	328	23	∈	∈	NOUN
ejpam-5527	328	24	ℵ̌	ℵ̌	PROPN
ejpam-5527	328	25	|	|	ADV
ejpam-5527	328	26	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	328	27	≬	≬	PROPN
ejpam-5527	328	28	(	(	PUNCT
ejpam-5527	328	29	ϱ̌1	ϱ̌1	NUM
ejpam-5527	328	30	≬	≬	PROPN
ejpam-5527	328	31	(	(	PUNCT
ejpam-5527	328	32	ϱ̌1	ϱ̌1	X
ejpam-5527	328	33	≬	≬	PROPN
ejpam-5527	328	34	ϱ̌0))š	ϱ̌0))š	PROPN
ejpam-5527	328	35	∈	∈	PROPN
ejpam-5527	328	36	(	(	PUNCT
ejpam-5527	328	37	φ⋇	φ⋇	PROPN
ejpam-5527	328	38	,	,	PUNCT
ejpam-5527	328	39	q̌φ)ζ̄−	q̌φ)ζ̄−	PROPN
ejpam-5527	328	40	}	}	PUNCT
ejpam-5527	328	41	,	,	PUNCT
ejpam-5527	329	1	ζ̄ǔ+	ζ̄ǔ+	PROPN
ejpam-5527	329	2	=	=	PRON
ejpam-5527	329	3	{	{	PUNCT
ejpam-5527	329	4	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	329	5	,	,	PUNCT
ejpam-5527	329	6	ϱ̌2	ϱ̌2	VERB
ejpam-5527	329	7	∈	∈	NOUN
ejpam-5527	329	8	ℵ̌	ℵ̌	PROPN
ejpam-5527	329	9	|	|	ADV
ejpam-5527	329	10	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	329	11	≬	≬	PROPN
ejpam-5527	329	12	(	(	PUNCT
ejpam-5527	329	13	ϱ̌1	ϱ̌1	NUM
ejpam-5527	329	14	≬	≬	PROPN
ejpam-5527	329	15	(	(	PUNCT
ejpam-5527	329	16	ϱ̌1	ϱ̌1	X
ejpam-5527	329	17	≬	≬	PROPN
ejpam-5527	329	18	ϱ̌0))ǔ	ϱ̌0))ǔ	X
ejpam-5527	329	19	∈	∈	PROPN
ejpam-5527	329	20	(	(	PUNCT
ejpam-5527	329	21	φ⋇	φ⋇	PROPN
ejpam-5527	329	22	,	,	PUNCT
ejpam-5527	329	23	q̌φ)ζ̄+	q̌φ)ζ̄+	PROPN
ejpam-5527	329	24	}	}	PUNCT
ejpam-5527	329	25	,	,	PUNCT
ejpam-5527	329	26	and	and	CCONJ
ejpam-5527	329	27	[	[	X
ejpam-5527	329	28	ζ̄](š,ǔ	ζ̄](š,ǔ	NOUN
ejpam-5527	329	29	)	)	PUNCT
ejpam-5527	329	30	=	=	PRON
ejpam-5527	329	31	{	{	PUNCT
ejpam-5527	329	32	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	329	33	,	,	PUNCT
ejpam-5527	329	34	ϱ̌2	ϱ̌2	VERB
ejpam-5527	329	35	∈	∈	NOUN
ejpam-5527	329	36	ℵ̌	ℵ̌	PROPN
ejpam-5527	329	37	|	|	ADV
ejpam-5527	329	38	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	329	39	≬	≬	PROPN
ejpam-5527	329	40	(	(	PUNCT
ejpam-5527	329	41	ϱ̌1	ϱ̌1	NUM
ejpam-5527	329	42	≬	≬	PROPN
ejpam-5527	329	43	(	(	PUNCT
ejpam-5527	329	44	ϱ̌1	ϱ̌1	X
ejpam-5527	329	45	≬	≬	PROPN
ejpam-5527	329	46	ϱ̌0)š	ϱ̌0)š	SYM
ejpam-5527	329	47	∈	∈	PROPN
ejpam-5527	329	48	(	(	PUNCT
ejpam-5527	329	49	φ⋇	φ⋇	PROPN
ejpam-5527	329	50	,	,	PUNCT
ejpam-5527	329	51	q̌φζ̄−	q̌φζ̄−	PROPN
ejpam-5527	329	52	and	and	CCONJ
ejpam-5527	329	53	ϱ̌0	ϱ̌0	VERB
ejpam-5527	329	54	≬	≬	PROPN
ejpam-5527	329	55	(	(	PUNCT
ejpam-5527	329	56	ϱ̌1	ϱ̌1	NUM
ejpam-5527	329	57	≬	≬	PROPN
ejpam-5527	329	58	(	(	PUNCT
ejpam-5527	329	59	ϱ̌1	ϱ̌1	X
ejpam-5527	329	60	≬	≬	PROPN
ejpam-5527	329	61	ϱ̌0)ǔ	ϱ̌0)ǔ	X
ejpam-5527	329	62	∈	∈	PROPN
ejpam-5527	329	63	(	(	PUNCT
ejpam-5527	329	64	φ⋇	φ⋇	PROPN
ejpam-5527	329	65	,	,	PUNCT
ejpam-5527	329	66	q̌φζ̄+	q̌φζ̄+	NUM
ejpam-5527	329	67	}	}	PUNCT
ejpam-5527	329	68	.	.	PUNCT
ejpam-5527	330	1	then	then	ADV
ejpam-5527	330	2	it	it	PRON
ejpam-5527	330	3	is	be	AUX
ejpam-5527	330	4	obvious	obvious	ADJ
ejpam-5527	330	5	that	that	SCONJ
ejpam-5527	330	6	[	[	X
ejpam-5527	330	7	ζ̄](š,ǔ	ζ̄](š,ǔ	NOUN
ejpam-5527	330	8	)	)	PUNCT
ejpam-5527	330	9	=	=	SYM
ejpam-5527	330	10	u(ζ̄	u(ζ̄	X
ejpam-5527	330	11	;	;	PUNCT
ejpam-5527	330	12	š	š	NOUN
ejpam-5527	330	13	,	,	PUNCT
ejpam-5527	330	14	ǔ)∪	ǔ)∪	NOUN
ejpam-5527	330	15	ζ̄šť	ζ̄šť	X
ejpam-5527	330	16	∪	∪	ADJ
ejpam-5527	330	17	ζ̄v̌p̌	ζ̄v̌p̌	X
ejpam-5527	330	18	.	.	PUNCT
ejpam-5527	331	1	here	here	ADV
ejpam-5527	331	2	,	,	PUNCT
ejpam-5527	331	3	[	[	X
ejpam-5527	331	4	ζ̄](š,ǔ	ζ̄](š,ǔ	NOUN
ejpam-5527	331	5	)	)	PUNCT
ejpam-5527	331	6	is	be	AUX
ejpam-5527	331	7	an	an	DET
ejpam-5527	331	8	(	(	PUNCT
ejpam-5527	331	9	∈,∈	∈,∈	X
ejpam-5527	331	10	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	331	11	,	,	PUNCT
ejpam-5527	331	12	q̌φ))level	q̌φ))level	PROPN
ejpam-5527	331	13	fantastic	fantastic	ADJ
ejpam-5527	331	14	ideal	ideal	NOUN
ejpam-5527	331	15	of	of	ADP
ejpam-5527	331	16	ζ̄.	ζ̄.	PUNCT
ejpam-5527	331	17	theorem	theorem	VERB
ejpam-5527	331	18	7	7	NUM
ejpam-5527	331	19	.	.	PUNCT
ejpam-5527	332	1	let	let	VERB
ejpam-5527	332	2	ζ̄	ζ̄	ADV
ejpam-5527	332	3	be	be	AUX
ejpam-5527	332	4	a	a	DET
ejpam-5527	332	5	bfs	bfs	NOUN
ejpam-5527	332	6	in	in	ADP
ejpam-5527	332	7	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	332	8	then	then	ADV
ejpam-5527	332	9	ζ̄	ζ̄	ADV
ejpam-5527	332	10	is	be	AUX
ejpam-5527	332	11	an	an	DET
ejpam-5527	332	12	(	(	PUNCT
ejpam-5527	332	13	∈,∈	∈,∈	X
ejpam-5527	332	14	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	332	15	,	,	PUNCT
ejpam-5527	332	16	q̌φ))-bffi	q̌φ))-bffi	PROPN
ejpam-5527	332	17	of	of	ADP
ejpam-5527	332	18	ℵ̌	ℵ̌	PROPN
ejpam-5527	332	19	if	if	SCONJ
ejpam-5527	332	20	and	and	CCONJ
ejpam-5527	332	21	only	only	ADV
ejpam-5527	332	22	if	if	SCONJ
ejpam-5527	332	23	[	[	X
ejpam-5527	332	24	ζ̄](š,ǔ	ζ̄](š,ǔ	NOUN
ejpam-5527	332	25	)	)	PUNCT
ejpam-5527	332	26	is	be	AUX
ejpam-5527	332	27	a	a	DET
ejpam-5527	332	28	fantastic	fantastic	ADJ
ejpam-5527	332	29	ideal	ideal	NOUN
ejpam-5527	332	30	of	of	ADP
ejpam-5527	332	31	ℵ̌	ℵ̌	PROPN
ejpam-5527	332	32	,	,	PUNCT
ejpam-5527	332	33	for	for	ADP
ejpam-5527	332	34	all	all	DET
ejpam-5527	332	35	š	š	NUM
ejpam-5527	332	36	∈	∈	NOUN
ejpam-5527	333	1	[	[	X
ejpam-5527	333	2	−1	−1	NOUN
ejpam-5527	333	3	,	,	PUNCT
ejpam-5527	333	4	0	0	NUM
ejpam-5527	333	5	)	)	PUNCT
ejpam-5527	333	6	and	and	CCONJ
ejpam-5527	333	7	ǔ	ǔ	SYM
ejpam-5527	333	8	∈	∈	PROPN
ejpam-5527	333	9	(	(	PUNCT
ejpam-5527	333	10	0	0	NUM
ejpam-5527	333	11	,	,	PUNCT
ejpam-5527	333	12	1	1	NUM
ejpam-5527	333	13	]	]	PUNCT
ejpam-5527	333	14	.	.	PUNCT
ejpam-5527	334	1	proof	proof	NOUN
ejpam-5527	334	2	.	.	PUNCT
ejpam-5527	335	1	suppose	suppose	VERB
ejpam-5527	335	2	that	that	SCONJ
ejpam-5527	335	3	ζ̄	ζ̄	ADV
ejpam-5527	335	4	is	be	AUX
ejpam-5527	335	5	an	an	DET
ejpam-5527	335	6	(	(	PUNCT
ejpam-5527	335	7	∈,∈	∈,∈	X
ejpam-5527	335	8	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	335	9	,	,	PUNCT
ejpam-5527	335	10	q̌φ))-bffi	q̌φ))-bffi	PROPN
ejpam-5527	335	11	of	of	ADP
ejpam-5527	335	12	ℵ̌	ℵ̌	PROPN
ejpam-5527	335	13	and	and	CCONJ
ejpam-5527	335	14	let	let	VERB
ejpam-5527	335	15	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	335	16	,	,	PUNCT
ejpam-5527	335	17	ϱ̌1	ϱ̌1	NUM
ejpam-5527	335	18	,	,	PUNCT
ejpam-5527	335	19	ϱ̌2	ϱ̌2	VERB
ejpam-5527	335	20	∈	∈	NOUN
ejpam-5527	335	21	[	[	X
ejpam-5527	335	22	ζ̄](š,ǔ	ζ̄](š,ǔ	NOUN
ejpam-5527	335	23	)	)	PUNCT
ejpam-5527	335	24	for	for	ADP
ejpam-5527	335	25	š	š	PROPN
ejpam-5527	335	26	∈	∈	PROPN
ejpam-5527	336	1	[	[	X
ejpam-5527	336	2	−1	−1	NOUN
ejpam-5527	336	3	,	,	PUNCT
ejpam-5527	336	4	0	0	NUM
ejpam-5527	336	5	)	)	PUNCT
ejpam-5527	336	6	and	and	CCONJ
ejpam-5527	336	7	ǔ	ǔ	SYM
ejpam-5527	336	8	∈	∈	PROPN
ejpam-5527	336	9	(	(	PUNCT
ejpam-5527	336	10	0	0	NUM
ejpam-5527	336	11	,	,	PUNCT
ejpam-5527	336	12	1	1	NUM
ejpam-5527	336	13	]	]	PUNCT
ejpam-5527	336	14	.	.	PUNCT
ejpam-5527	337	1	then	then	ADV
ejpam-5527	337	2	(	(	PUNCT
ejpam-5527	337	3	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	337	4	⋇	⋇	VERB
ejpam-5527	337	5	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	337	6	)	)	PUNCT
ejpam-5527	337	7	⋇	⋇	NOUN
ejpam-5527	337	8	ϱ̌2š	ϱ̌2š	PROPN
ejpam-5527	337	9	∈	∈	PROPN
ejpam-5527	337	10	q̌φζ̄−	q̌φζ̄−	PROPN
ejpam-5527	337	11	,	,	PUNCT
ejpam-5527	337	12	ϱ̌2š	ϱ̌2š	X
ejpam-5527	337	13	∈	∈	PROPN
ejpam-5527	337	14	(	(	PUNCT
ejpam-5527	337	15	φ⋇	φ⋇	PROPN
ejpam-5527	337	16	,	,	PUNCT
ejpam-5527	337	17	q̌φ)ζ̄−	q̌φ)ζ̄−	PROPN
ejpam-5527	337	18	and	and	CCONJ
ejpam-5527	337	19	(	(	PUNCT
ejpam-5527	337	20	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	337	21	⋇	⋇	VERB
ejpam-5527	337	22	ϱ̌1)⋇	ϱ̌1)⋇	PROPN
ejpam-5527	337	23	ϱ̌2ǔ	ϱ̌2ǔ	PROPN
ejpam-5527	337	24	∈	∈	NOUN
ejpam-5527	337	25	(	(	PUNCT
ejpam-5527	337	26	φ⋇	φ⋇	PROPN
ejpam-5527	337	27	,	,	PUNCT
ejpam-5527	337	28	q̌φ)ζ̄+	q̌φ)ζ̄+	VERB
ejpam-5527	337	29	,	,	PUNCT
ejpam-5527	337	30	ϱ̌2ǔ	ϱ̌2ǔ	PROPN
ejpam-5527	337	31	∈	∈	PROPN
ejpam-5527	337	32	(	(	PUNCT
ejpam-5527	337	33	φ⋇	φ⋇	PROPN
ejpam-5527	337	34	,	,	PUNCT
ejpam-5527	337	35	q̌φ)ζ̄+	q̌φ)ζ̄+	VERB
ejpam-5527	337	36	.	.	PUNCT
ejpam-5527	338	1	that	that	PRON
ejpam-5527	338	2	is	be	AUX
ejpam-5527	338	3	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	338	4	⋇	⋇	NOUN
ejpam-5527	338	5	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	338	6	)	)	PUNCT
ejpam-5527	338	7	⋇	⋇	NOUN
ejpam-5527	338	8	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	338	9	)	)	PUNCT
ejpam-5527	338	10	≤	≤	NUM
ejpam-5527	338	11	š	š	PROPN
ejpam-5527	338	12	or	or	CCONJ
ejpam-5527	338	13	k.	k.	PROPN
ejpam-5527	338	14	h.	h.	PROPN
ejpam-5527	338	15	hakami	hakami	PROPN
ejpam-5527	338	16	et	et	PROPN
ejpam-5527	338	17	al	al	PROPN
ejpam-5527	338	18	.	.	PUNCT
ejpam-5527	338	19	/	/	SYM
ejpam-5527	338	20	eur	eur	PROPN
ejpam-5527	338	21	.	.	PUNCT
ejpam-5527	339	1	j.	j.	PROPN
ejpam-5527	339	2	pure	pure	PROPN
ejpam-5527	339	3	appl	appl	PROPN
ejpam-5527	339	4	.	.	PROPN
ejpam-5527	339	5	math	math	PROPN
ejpam-5527	339	6	,	,	PUNCT
ejpam-5527	339	7	17	17	NUM
ejpam-5527	339	8	(	(	PUNCT
ejpam-5527	339	9	4	4	NUM
ejpam-5527	339	10	)	)	PUNCT
ejpam-5527	339	11	(	(	PUNCT
ejpam-5527	339	12	2024	2024	NUM
ejpam-5527	339	13	)	)	PUNCT
ejpam-5527	339	14	,	,	PUNCT
ejpam-5527	339	15	3973	3973	NUM
ejpam-5527	339	16	-	-	SYM
ejpam-5527	339	17	3993	3993	NUM
ejpam-5527	339	18	3986	3986	NUM
ejpam-5527	339	19	ζ̄−((ϱ̌0⋇ϱ̌1)⋇ϱ̌2)+š	ζ̄−((ϱ̌0⋇ϱ̌1)⋇ϱ̌2)+š	NOUN
ejpam-5527	339	20	<	<	X
ejpam-5527	339	21	φ−φ⋇	φ−φ⋇	NUM
ejpam-5527	339	22	,	,	PUNCT
ejpam-5527	339	23	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	339	24	)	)	PUNCT
ejpam-5527	339	25	≤	≤	NOUN
ejpam-5527	339	26	š	š	PROPN
ejpam-5527	339	27	or	or	CCONJ
ejpam-5527	339	28	ζ̄−(ϱ̌2)+š	ζ̄−(ϱ̌2)+š	NOUN
ejpam-5527	339	29	<	<	X
ejpam-5527	339	30	φ−φ⋇	φ−φ⋇	PUNCT
ejpam-5527	339	31	and	and	CCONJ
ejpam-5527	339	32	ζ̄+((ϱ̌0⋇ϱ̌1)⋇ϱ̌2	ζ̄+((ϱ̌0⋇ϱ̌1)⋇ϱ̌2	NOUN
ejpam-5527	339	33	)	)	PUNCT
ejpam-5527	339	34	≥	≥	NOUN
ejpam-5527	339	35	ǔ	ǔ	SYM
ejpam-5527	339	36	or	or	CCONJ
ejpam-5527	339	37	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	339	38	⋇	⋇	NOUN
ejpam-5527	339	39	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	339	40	)	)	PUNCT
ejpam-5527	339	41	⋇	⋇	NOUN
ejpam-5527	339	42	ϱ̌2	ϱ̌2	NUM
ejpam-5527	339	43	)	)	PUNCT
ejpam-5527	340	1	+	+	CCONJ
ejpam-5527	340	2	ǔ	ǔ	SYM
ejpam-5527	340	3	>	>	X
ejpam-5527	340	4	−φ	−φ	NOUN
ejpam-5527	340	5	+	+	CCONJ
ejpam-5527	340	6	φ⋇	φ⋇	PROPN
ejpam-5527	340	7	,	,	PUNCT
ejpam-5527	340	8	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	340	9	)	)	PUNCT
ejpam-5527	340	10	≥	≥	NOUN
ejpam-5527	340	11	ǔ	ǔ	NOUN
ejpam-5527	340	12	or	or	CCONJ
ejpam-5527	340	13	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	340	14	)	)	PUNCT
ejpam-5527	340	15	+	+	NUM
ejpam-5527	340	16	ǔ	ǔ	SYM
ejpam-5527	340	17	>	>	X
ejpam-5527	340	18	−φ	−φ	NOUN
ejpam-5527	340	19	+	+	CCONJ
ejpam-5527	340	20	φ⋇.	φ⋇.	NUM
ejpam-5527	340	21	using	use	VERB
ejpam-5527	340	22	the	the	DET
ejpam-5527	340	23	theorem	theorem	NOUN
ejpam-5527	340	24	1	1	NUM
ejpam-5527	340	25	,	,	PUNCT
ejpam-5527	340	26	we	we	PRON
ejpam-5527	340	27	get	get	VERB
ejpam-5527	340	28	,	,	PUNCT
ejpam-5527	340	29	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	340	30	≬	≬	PROPN
ejpam-5527	340	31	(	(	PUNCT
ejpam-5527	340	32	ϱ̌1	ϱ̌1	NUM
ejpam-5527	340	33	≬	≬	PROPN
ejpam-5527	340	34	(	(	PUNCT
ejpam-5527	340	35	ϱ̌1	ϱ̌1	X
ejpam-5527	340	36	≬	≬	PROPN
ejpam-5527	340	37	ϱ̌0	ϱ̌0	NUM
ejpam-5527	340	38	)	)	PUNCT
ejpam-5527	340	39	)	)	PUNCT
ejpam-5527	340	40	)	)	PUNCT
ejpam-5527	341	1	≤	≤	NOUN
ejpam-5527	341	2	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	341	3	≬	≬	PROPN
ejpam-5527	341	4	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	341	5	)	)	PUNCT
ejpam-5527	341	6	≬	≬	PROPN
ejpam-5527	341	7	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	341	8	)	)	PUNCT
ejpam-5527	341	9	∨	∨	NUM
ejpam-5527	341	10	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	341	11	)	)	PUNCT
ejpam-5527	341	12	∨	∨	NUM
ejpam-5527	341	13	(	(	PUNCT
ejpam-5527	341	14	φ	φ	PROPN
ejpam-5527	341	15	2	2	NUM
ejpam-5527	341	16	−	−	PROPN
ejpam-5527	341	17	φ⋇	φ⋇	PROPN
ejpam-5527	341	18	2	2	NUM
ejpam-5527	341	19	)	)	PUNCT
ejpam-5527	341	20	and	and	CCONJ
ejpam-5527	341	21	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	341	22	≬	≬	PROPN
ejpam-5527	341	23	(	(	PUNCT
ejpam-5527	341	24	ϱ̌1	ϱ̌1	NUM
ejpam-5527	341	25	≬	≬	PROPN
ejpam-5527	341	26	(	(	PUNCT
ejpam-5527	341	27	ϱ̌1	ϱ̌1	X
ejpam-5527	341	28	≬	≬	PROPN
ejpam-5527	341	29	ϱ̌0	ϱ̌0	NUM
ejpam-5527	341	30	)	)	PUNCT
ejpam-5527	341	31	)	)	PUNCT
ejpam-5527	341	32	)	)	PUNCT
ejpam-5527	341	33	≥	≥	X
ejpam-5527	342	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	342	2	≬	≬	PROPN
ejpam-5527	342	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	342	4	)	)	PUNCT
ejpam-5527	342	5	≬	≬	PROPN
ejpam-5527	342	6	ϱ̌2	ϱ̌2	PART
ejpam-5527	342	7	)	)	PUNCT
ejpam-5527	342	8	∧	∧	PROPN
ejpam-5527	342	9	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	342	10	)	)	PUNCT
ejpam-5527	342	11	∧	∧	NOUN
ejpam-5527	342	12	(	(	PUNCT
ejpam-5527	342	13	−φ	−φ	NOUN
ejpam-5527	342	14	2	2	NUM
ejpam-5527	342	15	+	+	CCONJ
ejpam-5527	342	16	φ⋇	φ⋇	PROPN
ejpam-5527	342	17	2	2	NUM
ejpam-5527	342	18	)	)	PUNCT
ejpam-5527	342	19	case	case	NOUN
ejpam-5527	342	20	1	1	NUM
ejpam-5527	342	21	.	.	X
ejpam-5527	342	22	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	342	23	≬	≬	PROPN
ejpam-5527	342	24	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	342	25	)	)	PUNCT
ejpam-5527	342	26	≬	≬	PROPN
ejpam-5527	342	27	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	342	28	)	)	PUNCT
ejpam-5527	342	29	≤	≤	NOUN
ejpam-5527	342	30	š	š	PROPN
ejpam-5527	342	31	,	,	PUNCT
ejpam-5527	342	32	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	342	33	)	)	PUNCT
ejpam-5527	342	34	≤	≤	NOUN
ejpam-5527	342	35	š	š	PROPN
ejpam-5527	342	36	and	and	CCONJ
ejpam-5527	342	37	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	342	38	≬	≬	PROPN
ejpam-5527	342	39	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	342	40	)	)	PUNCT
ejpam-5527	342	41	≬	≬	PROPN
ejpam-5527	342	42	ϱ̌2	ϱ̌2	PART
ejpam-5527	342	43	)	)	PUNCT
ejpam-5527	342	44	≥	≥	NOUN
ejpam-5527	342	45	ǔ	ǔ	PROPN
ejpam-5527	342	46	,	,	PUNCT
ejpam-5527	342	47	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	342	48	)	)	PUNCT
ejpam-5527	342	49	≥	≥	NOUN
ejpam-5527	342	50	ǔ.	ǔ.	ADJ
ejpam-5527	342	51	if	if	SCONJ
ejpam-5527	342	52	š	š	PROPN
ejpam-5527	342	53	<	<	X
ejpam-5527	342	54	φ	φ	X
ejpam-5527	342	55	2	2	NUM
ejpam-5527	342	56	−	−	PROPN
ejpam-5527	342	57	φ⋇	φ⋇	PROPN
ejpam-5527	342	58	2	2	NUM
ejpam-5527	342	59	and	and	CCONJ
ejpam-5527	342	60	ǔ	ǔ	PROPN
ejpam-5527	342	61	>	>	X
ejpam-5527	342	62	−φ	−φ	NOUN
ejpam-5527	342	63	2	2	NUM
ejpam-5527	342	64	+	+	CCONJ
ejpam-5527	342	65	φ⋇	φ⋇	PROPN
ejpam-5527	342	66	2	2	NUM
ejpam-5527	342	67	,	,	PUNCT
ejpam-5527	342	68	then	then	ADV
ejpam-5527	342	69	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	342	70	≬	≬	PROPN
ejpam-5527	342	71	(	(	PUNCT
ejpam-5527	342	72	ϱ̌1	ϱ̌1	NUM
ejpam-5527	342	73	≬	≬	PROPN
ejpam-5527	342	74	(	(	PUNCT
ejpam-5527	342	75	ϱ̌1	ϱ̌1	X
ejpam-5527	342	76	≬	≬	PROPN
ejpam-5527	342	77	ϱ̌0	ϱ̌0	NUM
ejpam-5527	342	78	)	)	PUNCT
ejpam-5527	342	79	)	)	PUNCT
ejpam-5527	342	80	)	)	PUNCT
ejpam-5527	342	81	≤	≤	NOUN
ejpam-5527	342	82	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	342	83	≬	≬	PROPN
ejpam-5527	342	84	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	342	85	)	)	PUNCT
ejpam-5527	342	86	≬	≬	PROPN
ejpam-5527	342	87	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	342	88	)	)	PUNCT
ejpam-5527	342	89	∨	∨	NUM
ejpam-5527	342	90	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	342	91	)	)	PUNCT
ejpam-5527	342	92	∨	∨	NUM
ejpam-5527	342	93	(	(	PUNCT
ejpam-5527	342	94	φ	φ	PROPN
ejpam-5527	342	95	2	2	NUM
ejpam-5527	342	96	−	−	PROPN
ejpam-5527	342	97	φ⋇	φ⋇	PROPN
ejpam-5527	342	98	2	2	NUM
ejpam-5527	342	99	)	)	PUNCT
ejpam-5527	342	100	=	=	PUNCT
ejpam-5527	343	1	φ	φ	PROPN
ejpam-5527	343	2	2	2	NUM
ejpam-5527	343	3	−	−	PROPN
ejpam-5527	343	4	φ⋇	φ⋇	PROPN
ejpam-5527	343	5	2	2	NUM
ejpam-5527	343	6	and	and	CCONJ
ejpam-5527	343	7	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	343	8	≬	≬	PROPN
ejpam-5527	343	9	(	(	PUNCT
ejpam-5527	343	10	ϱ̌1	ϱ̌1	NUM
ejpam-5527	343	11	≬	≬	PROPN
ejpam-5527	343	12	(	(	PUNCT
ejpam-5527	343	13	ϱ̌1	ϱ̌1	X
ejpam-5527	343	14	≬	≬	PROPN
ejpam-5527	343	15	ϱ̌0	ϱ̌0	NUM
ejpam-5527	343	16	)	)	PUNCT
ejpam-5527	343	17	)	)	PUNCT
ejpam-5527	343	18	)	)	PUNCT
ejpam-5527	343	19	≥	≥	X
ejpam-5527	344	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	344	2	≬	≬	PROPN
ejpam-5527	344	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	344	4	)	)	PUNCT
ejpam-5527	344	5	≬	≬	PROPN
ejpam-5527	344	6	ϱ̌2	ϱ̌2	PART
ejpam-5527	344	7	)	)	PUNCT
ejpam-5527	344	8	∧	∧	PROPN
ejpam-5527	344	9	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	344	10	)	)	PUNCT
ejpam-5527	344	11	∧	∧	NOUN
ejpam-5527	344	12	(	(	PUNCT
ejpam-5527	344	13	−φ	−φ	NOUN
ejpam-5527	344	14	2	2	NUM
ejpam-5527	344	15	+	+	CCONJ
ejpam-5527	344	16	φ⋇	φ⋇	PROPN
ejpam-5527	344	17	2	2	NUM
ejpam-5527	344	18	)	)	PUNCT
ejpam-5527	344	19	=	=	SYM
ejpam-5527	344	20	−φ	−φ	NOUN
ejpam-5527	344	21	2	2	NUM
ejpam-5527	344	22	+	+	CCONJ
ejpam-5527	344	23	φ⋇	φ⋇	PROPN
ejpam-5527	344	24	2	2	NUM
ejpam-5527	344	25	.	.	PUNCT
ejpam-5527	345	1	hence	hence	ADV
ejpam-5527	345	2	,	,	PUNCT
ejpam-5527	345	3	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	345	4	≬	≬	PROPN
ejpam-5527	345	5	(	(	PUNCT
ejpam-5527	345	6	ϱ̌1	ϱ̌1	NUM
ejpam-5527	345	7	≬	≬	PROPN
ejpam-5527	345	8	(	(	PUNCT
ejpam-5527	345	9	ϱ̌1	ϱ̌1	X
ejpam-5527	345	10	≬	≬	PROPN
ejpam-5527	345	11	ϱ̌0	ϱ̌0	NUM
ejpam-5527	345	12	)	)	PUNCT
ejpam-5527	345	13	)	)	PUNCT
ejpam-5527	345	14	)	)	PUNCT
ejpam-5527	346	1	+	+	CCONJ
ejpam-5527	346	2	š	š	X
ejpam-5527	346	3	<	<	X
ejpam-5527	346	4	φ	φ	X
ejpam-5527	346	5	2	2	NUM
ejpam-5527	346	6	−	−	PROPN
ejpam-5527	346	7	φ⋇	φ⋇	PROPN
ejpam-5527	346	8	2	2	NUM
ejpam-5527	346	9	+	+	CCONJ
ejpam-5527	346	10	φ	φ	PROPN
ejpam-5527	346	11	2	2	NUM
ejpam-5527	346	12	−	−	PROPN
ejpam-5527	346	13	φ⋇	φ⋇	PROPN
ejpam-5527	346	14	2	2	NUM
ejpam-5527	346	15	=	=	SYM
ejpam-5527	346	16	φ−	φ−	PROPN
ejpam-5527	346	17	φ⋇	φ⋇	PROPN
ejpam-5527	346	18	,	,	PUNCT
ejpam-5527	346	19	and	and	CCONJ
ejpam-5527	346	20	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	346	21	≬	≬	PROPN
ejpam-5527	346	22	(	(	PUNCT
ejpam-5527	346	23	ϱ̌1	ϱ̌1	NUM
ejpam-5527	346	24	≬	≬	PROPN
ejpam-5527	346	25	(	(	PUNCT
ejpam-5527	346	26	ϱ̌1	ϱ̌1	X
ejpam-5527	346	27	≬	≬	PROPN
ejpam-5527	346	28	ϱ̌0	ϱ̌0	NUM
ejpam-5527	346	29	)	)	PUNCT
ejpam-5527	346	30	)	)	PUNCT
ejpam-5527	346	31	)	)	PUNCT
ejpam-5527	347	1	+	+	CCONJ
ejpam-5527	347	2	ǔ	ǔ	SYM
ejpam-5527	347	3	>	>	X
ejpam-5527	347	4	−φ	−φ	NOUN
ejpam-5527	347	5	2	2	NUM
ejpam-5527	347	6	+	+	CCONJ
ejpam-5527	347	7	φ⋇	φ⋇	PROPN
ejpam-5527	347	8	2	2	NUM
ejpam-5527	347	9	−	−	PROPN
ejpam-5527	347	10	φ	φ	NUM
ejpam-5527	347	11	2	2	NUM
ejpam-5527	347	12	+	+	CCONJ
ejpam-5527	347	13	φ⋇	φ⋇	PROPN
ejpam-5527	347	14	2	2	NUM
ejpam-5527	347	15	=	=	SYM
ejpam-5527	347	16	−φ+	−φ+	NOUN
ejpam-5527	347	17	φ⋇	φ⋇	PROPN
ejpam-5527	347	18	,	,	PUNCT
ejpam-5527	347	19	and	and	CCONJ
ejpam-5527	347	20	so	so	ADV
ejpam-5527	347	21	,	,	PUNCT
ejpam-5527	347	22	ϱ̌0	ϱ̌0	NUM
ejpam-5527	347	23	≬	≬	PROPN
ejpam-5527	347	24	(	(	PUNCT
ejpam-5527	347	25	ϱ̌1	ϱ̌1	NUM
ejpam-5527	347	26	≬	≬	PROPN
ejpam-5527	347	27	(	(	PUNCT
ejpam-5527	347	28	ϱ̌1	ϱ̌1	X
ejpam-5527	347	29	≬	≬	PROPN
ejpam-5527	347	30	ϱ̌0	ϱ̌0	NUM
ejpam-5527	347	31	)	)	PUNCT
ejpam-5527	347	32	)	)	PUNCT
ejpam-5527	348	1	∈	∈	PROPN
ejpam-5527	348	2	(	(	PUNCT
ejpam-5527	348	3	φ⋇	φ⋇	PROPN
ejpam-5527	348	4	,	,	PUNCT
ejpam-5527	348	5	q̌φ)ζ̄−	q̌φ)ζ̄−	PROPN
ejpam-5527	348	6	and	and	CCONJ
ejpam-5527	348	7	ϱ̌0	ϱ̌0	VERB
ejpam-5527	348	8	≬	≬	PROPN
ejpam-5527	348	9	(	(	PUNCT
ejpam-5527	348	10	ϱ̌1	ϱ̌1	NUM
ejpam-5527	348	11	≬	≬	PROPN
ejpam-5527	348	12	(	(	PUNCT
ejpam-5527	348	13	ϱ̌1	ϱ̌1	X
ejpam-5527	348	14	≬	≬	PROPN
ejpam-5527	348	15	ϱ̌0	ϱ̌0	NUM
ejpam-5527	348	16	)	)	PUNCT
ejpam-5527	348	17	)	)	PUNCT
ejpam-5527	349	1	∈	∈	PROPN
ejpam-5527	349	2	(	(	PUNCT
ejpam-5527	349	3	φ⋇	φ⋇	PROPN
ejpam-5527	349	4	,	,	PUNCT
ejpam-5527	349	5	q̌φ)ζ̄+	q̌φ)ζ̄+	VERB
ejpam-5527	349	6	.	.	PUNCT
ejpam-5527	350	1	if	if	SCONJ
ejpam-5527	350	2	š	š	PROPN
ejpam-5527	350	3	≥	≥	NOUN
ejpam-5527	350	4	φ	φ	NUM
ejpam-5527	350	5	2	2	NUM
ejpam-5527	350	6	−	−	PROPN
ejpam-5527	350	7	φ⋇	φ⋇	PROPN
ejpam-5527	350	8	2	2	NUM
ejpam-5527	350	9	and	and	CCONJ
ejpam-5527	350	10	ǔ	ǔ	SYM
ejpam-5527	350	11	≤	≤	NOUN
ejpam-5527	350	12	−φ	−φ	NOUN
ejpam-5527	350	13	2	2	NUM
ejpam-5527	350	14	+	+	CCONJ
ejpam-5527	350	15	φ⋇	φ⋇	PROPN
ejpam-5527	350	16	2	2	NUM
ejpam-5527	350	17	,	,	PUNCT
ejpam-5527	350	18	then	then	ADV
ejpam-5527	350	19	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	350	20	≬	≬	PROPN
ejpam-5527	350	21	(	(	PUNCT
ejpam-5527	350	22	ϱ̌1	ϱ̌1	NUM
ejpam-5527	350	23	≬	≬	PROPN
ejpam-5527	350	24	(	(	PUNCT
ejpam-5527	350	25	ϱ̌1	ϱ̌1	X
ejpam-5527	350	26	≬	≬	PROPN
ejpam-5527	350	27	ϱ̌0	ϱ̌0	NUM
ejpam-5527	350	28	)	)	PUNCT
ejpam-5527	350	29	)	)	PUNCT
ejpam-5527	350	30	)	)	PUNCT
ejpam-5527	350	31	≤	≤	NOUN
ejpam-5527	350	32	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	350	33	≬	≬	PROPN
ejpam-5527	350	34	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	350	35	)	)	PUNCT
ejpam-5527	350	36	≬	≬	PROPN
ejpam-5527	350	37	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	350	38	)	)	PUNCT
ejpam-5527	350	39	∨	∨	NUM
ejpam-5527	350	40	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	350	41	)	)	PUNCT
ejpam-5527	350	42	∨	∨	NUM
ejpam-5527	350	43	(	(	PUNCT
ejpam-5527	350	44	φ	φ	PROPN
ejpam-5527	350	45	2	2	NUM
ejpam-5527	350	46	−	−	PROPN
ejpam-5527	350	47	φ⋇	φ⋇	PROPN
ejpam-5527	350	48	2	2	NUM
ejpam-5527	350	49	)	)	PUNCT
ejpam-5527	350	50	≤	≤	NOUN
ejpam-5527	350	51	š	š	NOUN
ejpam-5527	350	52	and	and	CCONJ
ejpam-5527	350	53	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	350	54	≬	≬	PROPN
ejpam-5527	350	55	(	(	PUNCT
ejpam-5527	350	56	ϱ̌1	ϱ̌1	NUM
ejpam-5527	350	57	≬	≬	PROPN
ejpam-5527	350	58	(	(	PUNCT
ejpam-5527	350	59	ϱ̌1	ϱ̌1	X
ejpam-5527	350	60	≬	≬	PROPN
ejpam-5527	350	61	ϱ̌0	ϱ̌0	NUM
ejpam-5527	350	62	)	)	PUNCT
ejpam-5527	350	63	)	)	PUNCT
ejpam-5527	350	64	)	)	PUNCT
ejpam-5527	350	65	≥	≥	X
ejpam-5527	351	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	351	2	≬	≬	PROPN
ejpam-5527	351	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	351	4	)	)	PUNCT
ejpam-5527	351	5	≬	≬	PROPN
ejpam-5527	351	6	ϱ̌2	ϱ̌2	PART
ejpam-5527	351	7	)	)	PUNCT
ejpam-5527	351	8	∧	∧	PROPN
ejpam-5527	351	9	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	351	10	)	)	PUNCT
ejpam-5527	351	11	∧	∧	NOUN
ejpam-5527	351	12	(	(	PUNCT
ejpam-5527	351	13	−φ	−φ	NOUN
ejpam-5527	351	14	2	2	NUM
ejpam-5527	351	15	+	+	CCONJ
ejpam-5527	351	16	φ⋇	φ⋇	PROPN
ejpam-5527	351	17	2	2	NUM
ejpam-5527	351	18	)	)	PUNCT
ejpam-5527	351	19	≥	≥	NOUN
ejpam-5527	351	20	ǔ.	ǔ.	ADJ
ejpam-5527	351	21	thus	thus	ADV
ejpam-5527	351	22	,	,	PUNCT
ejpam-5527	351	23	ϱ̌0	ϱ̌0	NUM
ejpam-5527	351	24	≬	≬	PROPN
ejpam-5527	351	25	(	(	PUNCT
ejpam-5527	351	26	ϱ̌1	ϱ̌1	NUM
ejpam-5527	351	27	≬	≬	PROPN
ejpam-5527	351	28	(	(	PUNCT
ejpam-5527	351	29	ϱ̌1	ϱ̌1	X
ejpam-5527	351	30	≬	≬	PROPN
ejpam-5527	351	31	ϱ̌0))š	ϱ̌0))š	PROPN
ejpam-5527	351	32	∈	∈	PROPN
ejpam-5527	351	33	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	351	34	,	,	PUNCT
ejpam-5527	351	35	q̌φ)ζ̄−	q̌φ)ζ̄−	PROPN
ejpam-5527	351	36	and	and	CCONJ
ejpam-5527	351	37	ϱ̌0	ϱ̌0	VERB
ejpam-5527	351	38	≬	≬	PROPN
ejpam-5527	351	39	(	(	PUNCT
ejpam-5527	351	40	ϱ̌1	ϱ̌1	NUM
ejpam-5527	351	41	≬	≬	PROPN
ejpam-5527	351	42	(	(	PUNCT
ejpam-5527	351	43	ϱ̌1	ϱ̌1	X
ejpam-5527	351	44	≬	≬	PROPN
ejpam-5527	351	45	ϱ̌0))ǔ	ϱ̌0))ǔ	PROPN
ejpam-5527	351	46	∈	∈	PROPN
ejpam-5527	351	47	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	351	48	,	,	PUNCT
ejpam-5527	351	49	q̌φ)ζ̄+	q̌φ)ζ̄+	VERB
ejpam-5527	351	50	.	.	PUNCT
ejpam-5527	352	1	therefore	therefore	ADV
ejpam-5527	352	2	,	,	PUNCT
ejpam-5527	352	3	[	[	X
ejpam-5527	352	4	ζ̄](š,ǔ	ζ̄](š,ǔ	NOUN
ejpam-5527	352	5	)	)	PUNCT
ejpam-5527	352	6	.	.	PUNCT
ejpam-5527	353	1	k.	k.	PROPN
ejpam-5527	353	2	h.	h.	PROPN
ejpam-5527	353	3	hakami	hakami	PROPN
ejpam-5527	353	4	et	et	PROPN
ejpam-5527	353	5	al	al	PROPN
ejpam-5527	353	6	.	.	PUNCT
ejpam-5527	353	7	/	/	SYM
ejpam-5527	353	8	eur	eur	PROPN
ejpam-5527	353	9	.	.	PUNCT
ejpam-5527	354	1	j.	j.	PROPN
ejpam-5527	354	2	pure	pure	PROPN
ejpam-5527	354	3	appl	appl	PROPN
ejpam-5527	354	4	.	.	PROPN
ejpam-5527	354	5	math	math	PROPN
ejpam-5527	354	6	,	,	PUNCT
ejpam-5527	354	7	17	17	NUM
ejpam-5527	354	8	(	(	PUNCT
ejpam-5527	354	9	4	4	NUM
ejpam-5527	354	10	)	)	PUNCT
ejpam-5527	354	11	(	(	PUNCT
ejpam-5527	354	12	2024	2024	NUM
ejpam-5527	354	13	)	)	PUNCT
ejpam-5527	354	14	,	,	PUNCT
ejpam-5527	354	15	3973	3973	NUM
ejpam-5527	354	16	-	-	SYM
ejpam-5527	354	17	3993	3993	NUM
ejpam-5527	354	18	3987	3987	NUM
ejpam-5527	354	19	case	case	NOUN
ejpam-5527	354	20	2	2	NUM
ejpam-5527	354	21	.	.	X
ejpam-5527	354	22	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	354	23	≬	≬	PROPN
ejpam-5527	354	24	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	354	25	)	)	PUNCT
ejpam-5527	354	26	≬	≬	PROPN
ejpam-5527	354	27	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	354	28	)	)	PUNCT
ejpam-5527	354	29	≤	≤	NOUN
ejpam-5527	354	30	š	š	PROPN
ejpam-5527	354	31	,	,	PUNCT
ejpam-5527	354	32	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	354	33	)	)	PUNCT
ejpam-5527	354	34	+	+	CCONJ
ejpam-5527	354	35	š	š	X
ejpam-5527	354	36	<	<	X
ejpam-5527	354	37	φ	φ	PROPN
ejpam-5527	354	38	−	−	PROPN
ejpam-5527	354	39	φ⋇	φ⋇	PROPN
ejpam-5527	354	40	and	and	CCONJ
ejpam-5527	354	41	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	354	42	≬	≬	PROPN
ejpam-5527	354	43	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	354	44	)	)	PUNCT
ejpam-5527	354	45	≬	≬	PROPN
ejpam-5527	354	46	ϱ̌2	ϱ̌2	PART
ejpam-5527	354	47	)	)	PUNCT
ejpam-5527	354	48	≥	≥	NOUN
ejpam-5527	354	49	ǔ	ǔ	PROPN
ejpam-5527	354	50	,	,	PUNCT
ejpam-5527	354	51	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	354	52	)	)	PUNCT
ejpam-5527	354	53	+	+	CCONJ
ejpam-5527	354	54	ǔ	ǔ	SYM
ejpam-5527	354	55	>	>	X
ejpam-5527	354	56	−φ+	−φ+	NOUN
ejpam-5527	354	57	φ⋇.	φ⋇.	NOUN
ejpam-5527	354	58	if	if	SCONJ
ejpam-5527	354	59	š	š	PROPN
ejpam-5527	354	60	<	<	X
ejpam-5527	354	61	φ	φ	X
ejpam-5527	354	62	2	2	NUM
ejpam-5527	354	63	−	−	PROPN
ejpam-5527	354	64	φ⋇	φ⋇	PROPN
ejpam-5527	354	65	2	2	NUM
ejpam-5527	354	66	and	and	CCONJ
ejpam-5527	354	67	ǔ	ǔ	PROPN
ejpam-5527	354	68	>	>	X
ejpam-5527	354	69	−φ	−φ	NOUN
ejpam-5527	354	70	2	2	NUM
ejpam-5527	354	71	+	+	CCONJ
ejpam-5527	354	72	φ⋇	φ⋇	PROPN
ejpam-5527	354	73	2	2	NUM
ejpam-5527	354	74	,	,	PUNCT
ejpam-5527	354	75	then	then	ADV
ejpam-5527	354	76	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	354	77	≬	≬	PROPN
ejpam-5527	354	78	(	(	PUNCT
ejpam-5527	354	79	ϱ̌1	ϱ̌1	NUM
ejpam-5527	354	80	≬	≬	PROPN
ejpam-5527	354	81	(	(	PUNCT
ejpam-5527	354	82	ϱ̌1	ϱ̌1	X
ejpam-5527	354	83	≬	≬	PROPN
ejpam-5527	354	84	ϱ̌0	ϱ̌0	NUM
ejpam-5527	354	85	)	)	PUNCT
ejpam-5527	354	86	)	)	PUNCT
ejpam-5527	354	87	)	)	PUNCT
ejpam-5527	354	88	≤	≤	NOUN
ejpam-5527	354	89	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	354	90	≬	≬	PROPN
ejpam-5527	354	91	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	354	92	)	)	PUNCT
ejpam-5527	354	93	≬	≬	PROPN
ejpam-5527	354	94	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	354	95	)	)	PUNCT
ejpam-5527	354	96	∨	∨	NUM
ejpam-5527	354	97	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	354	98	)	)	PUNCT
ejpam-5527	354	99	∨	∨	NUM
ejpam-5527	354	100	(	(	PUNCT
ejpam-5527	354	101	φ	φ	PROPN
ejpam-5527	354	102	2	2	NUM
ejpam-5527	354	103	−	−	PROPN
ejpam-5527	354	104	φ⋇	φ⋇	PROPN
ejpam-5527	354	105	2	2	NUM
ejpam-5527	354	106	)	)	PUNCT
ejpam-5527	354	107	=	=	SYM
ejpam-5527	354	108	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	354	109	)	)	PUNCT
ejpam-5527	354	110	∨	∨	NUM
ejpam-5527	354	111	(	(	PUNCT
ejpam-5527	354	112	φ	φ	PROPN
ejpam-5527	354	113	2	2	NUM
ejpam-5527	354	114	−	−	PROPN
ejpam-5527	354	115	φ⋇	φ⋇	PROPN
ejpam-5527	354	116	2	2	NUM
ejpam-5527	354	117	)	)	PUNCT
ejpam-5527	354	118	=	=	SYM
ejpam-5527	355	1	(	(	PUNCT
ejpam-5527	355	2	φ−	φ−	PROPN
ejpam-5527	355	3	φ⋇	φ⋇	PROPN
ejpam-5527	355	4	−	−	PROPN
ejpam-5527	355	5	š	š	PROPN
ejpam-5527	355	6	)	)	PUNCT
ejpam-5527	355	7	∨	∨	PROPN
ejpam-5527	355	8	(	(	PUNCT
ejpam-5527	355	9	φ	φ	PROPN
ejpam-5527	355	10	2	2	NUM
ejpam-5527	355	11	−	−	PROPN
ejpam-5527	355	12	φ⋇	φ⋇	PROPN
ejpam-5527	355	13	2	2	NUM
ejpam-5527	355	14	)	)	PUNCT
ejpam-5527	355	15	=	=	SYM
ejpam-5527	355	16	φ−	φ−	PROPN
ejpam-5527	355	17	φ⋇	φ⋇	PROPN
ejpam-5527	355	18	−	−	PROPN
ejpam-5527	355	19	š	š	X
ejpam-5527	355	20	and	and	CCONJ
ejpam-5527	355	21	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	355	22	≬	≬	PROPN
ejpam-5527	355	23	(	(	PUNCT
ejpam-5527	355	24	ϱ̌1	ϱ̌1	NUM
ejpam-5527	355	25	≬	≬	PROPN
ejpam-5527	355	26	(	(	PUNCT
ejpam-5527	355	27	ϱ̌1	ϱ̌1	X
ejpam-5527	355	28	≬	≬	PROPN
ejpam-5527	355	29	ϱ̌0	ϱ̌0	NUM
ejpam-5527	355	30	)	)	PUNCT
ejpam-5527	355	31	)	)	PUNCT
ejpam-5527	355	32	)	)	PUNCT
ejpam-5527	355	33	≥	≥	X
ejpam-5527	356	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	356	2	≬	≬	PROPN
ejpam-5527	356	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	356	4	)	)	PUNCT
ejpam-5527	356	5	≬	≬	PROPN
ejpam-5527	356	6	ϱ̌2	ϱ̌2	PART
ejpam-5527	356	7	)	)	PUNCT
ejpam-5527	356	8	∧	∧	PROPN
ejpam-5527	356	9	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	356	10	)	)	PUNCT
ejpam-5527	356	11	∧	∧	NOUN
ejpam-5527	356	12	(	(	PUNCT
ejpam-5527	356	13	−φ	−φ	NOUN
ejpam-5527	356	14	2	2	NUM
ejpam-5527	356	15	+	+	CCONJ
ejpam-5527	356	16	φ⋇	φ⋇	PROPN
ejpam-5527	356	17	2	2	NUM
ejpam-5527	356	18	)	)	PUNCT
ejpam-5527	356	19	=	=	SYM
ejpam-5527	356	20	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	PROPN
ejpam-5527	356	21	)	)	PUNCT
ejpam-5527	356	22	∧	∧	NOUN
ejpam-5527	356	23	(	(	PUNCT
ejpam-5527	356	24	−φ	−φ	NOUN
ejpam-5527	356	25	2	2	NUM
ejpam-5527	356	26	+	+	CCONJ
ejpam-5527	356	27	φ⋇	φ⋇	PROPN
ejpam-5527	356	28	2	2	NUM
ejpam-5527	356	29	)	)	PUNCT
ejpam-5527	356	30	=	=	PUNCT
ejpam-5527	356	31	(	(	PUNCT
ejpam-5527	356	32	−φ+	−φ+	NOUN
ejpam-5527	356	33	φ⋇	φ⋇	PROPN
ejpam-5527	356	34	−	−	PROPN
ejpam-5527	356	35	ǔ	ǔ	SYM
ejpam-5527	356	36	)	)	PUNCT
ejpam-5527	357	1	∧	∧	NOUN
ejpam-5527	357	2	(	(	PUNCT
ejpam-5527	357	3	−φ	−φ	NOUN
ejpam-5527	357	4	2	2	NUM
ejpam-5527	357	5	+	+	CCONJ
ejpam-5527	357	6	φ⋇	φ⋇	PROPN
ejpam-5527	357	7	2	2	NUM
ejpam-5527	357	8	)	)	PUNCT
ejpam-5527	357	9	=	=	PUNCT
ejpam-5527	357	10	−φ+	−φ+	NOUN
ejpam-5527	357	11	φ⋇	φ⋇	PROPN
ejpam-5527	357	12	−	−	PROPN
ejpam-5527	357	13	ǔ.	ǔ.	PROPN
ejpam-5527	357	14	hence	hence	ADV
ejpam-5527	357	15	,	,	PUNCT
ejpam-5527	357	16	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	357	17	≬	≬	PROPN
ejpam-5527	357	18	(	(	PUNCT
ejpam-5527	357	19	ϱ̌1	ϱ̌1	NUM
ejpam-5527	357	20	≬	≬	PROPN
ejpam-5527	357	21	(	(	PUNCT
ejpam-5527	357	22	ϱ̌1	ϱ̌1	X
ejpam-5527	357	23	≬	≬	PROPN
ejpam-5527	357	24	ϱ̌0	ϱ̌0	NUM
ejpam-5527	357	25	)	)	PUNCT
ejpam-5527	357	26	)	)	PUNCT
ejpam-5527	357	27	)	)	PUNCT
ejpam-5527	358	1	+	+	CCONJ
ejpam-5527	358	2	š	š	X
ejpam-5527	358	3	<	<	X
ejpam-5527	358	4	−φ	−φ	NOUN
ejpam-5527	358	5	2	2	NUM
ejpam-5527	358	6	+	+	CCONJ
ejpam-5527	358	7	φ⋇	φ⋇	PROPN
ejpam-5527	358	8	2	2	NUM
ejpam-5527	359	1	+	+	NOUN
ejpam-5527	359	2	−φ	−φ	NOUN
ejpam-5527	359	3	2	2	NUM
ejpam-5527	359	4	+	+	CCONJ
ejpam-5527	359	5	φ⋇	φ⋇	PROPN
ejpam-5527	359	6	2	2	NUM
ejpam-5527	359	7	=	=	SYM
ejpam-5527	359	8	φ−	φ−	PROPN
ejpam-5527	359	9	φ⋇	φ⋇	NOUN
ejpam-5527	359	10	and	and	CCONJ
ejpam-5527	359	11	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	359	12	≬	≬	PROPN
ejpam-5527	359	13	(	(	PUNCT
ejpam-5527	359	14	ϱ̌1	ϱ̌1	NUM
ejpam-5527	359	15	≬	≬	PROPN
ejpam-5527	359	16	(	(	PUNCT
ejpam-5527	359	17	ϱ̌1	ϱ̌1	X
ejpam-5527	359	18	≬	≬	PROPN
ejpam-5527	359	19	ϱ̌0	ϱ̌0	NUM
ejpam-5527	359	20	)	)	PUNCT
ejpam-5527	359	21	)	)	PUNCT
ejpam-5527	359	22	)	)	PUNCT
ejpam-5527	360	1	+	+	CCONJ
ejpam-5527	360	2	ǔ	ǔ	SYM
ejpam-5527	360	3	>	>	X
ejpam-5527	360	4	−φ	−φ	NOUN
ejpam-5527	360	5	2	2	NUM
ejpam-5527	360	6	+	+	CCONJ
ejpam-5527	360	7	φ⋇	φ⋇	PROPN
ejpam-5527	360	8	2	2	NUM
ejpam-5527	360	9	−	−	PROPN
ejpam-5527	360	10	φ	φ	NUM
ejpam-5527	360	11	2	2	NUM
ejpam-5527	360	12	+	+	CCONJ
ejpam-5527	360	13	φ⋇	φ⋇	PROPN
ejpam-5527	360	14	2	2	NUM
ejpam-5527	360	15	=	=	SYM
ejpam-5527	360	16	−φ+	−φ+	NOUN
ejpam-5527	360	17	φ⋇	φ⋇	PROPN
ejpam-5527	360	18	,	,	PUNCT
ejpam-5527	360	19	and	and	CCONJ
ejpam-5527	360	20	so	so	ADV
ejpam-5527	360	21	,	,	PUNCT
ejpam-5527	360	22	ϱ̌0	ϱ̌0	NUM
ejpam-5527	360	23	≬	≬	PROPN
ejpam-5527	360	24	(	(	PUNCT
ejpam-5527	360	25	ϱ̌1	ϱ̌1	NUM
ejpam-5527	360	26	≬	≬	PROPN
ejpam-5527	360	27	(	(	PUNCT
ejpam-5527	360	28	ϱ̌1	ϱ̌1	X
ejpam-5527	360	29	≬	≬	PROPN
ejpam-5527	360	30	ϱ̌0	ϱ̌0	NUM
ejpam-5527	360	31	)	)	PUNCT
ejpam-5527	360	32	)	)	PUNCT
ejpam-5527	361	1	∈	∈	PROPN
ejpam-5527	361	2	(	(	PUNCT
ejpam-5527	361	3	φ⋇	φ⋇	PROPN
ejpam-5527	361	4	,	,	PUNCT
ejpam-5527	361	5	q̌φ)ζ̄−	q̌φ)ζ̄−	PROPN
ejpam-5527	361	6	and	and	CCONJ
ejpam-5527	361	7	ϱ̌0	ϱ̌0	VERB
ejpam-5527	361	8	≬	≬	PROPN
ejpam-5527	361	9	(	(	PUNCT
ejpam-5527	361	10	ϱ̌1	ϱ̌1	NUM
ejpam-5527	361	11	≬	≬	PROPN
ejpam-5527	361	12	(	(	PUNCT
ejpam-5527	361	13	ϱ̌1	ϱ̌1	X
ejpam-5527	361	14	≬	≬	PROPN
ejpam-5527	361	15	ϱ̌0	ϱ̌0	NUM
ejpam-5527	361	16	)	)	PUNCT
ejpam-5527	361	17	)	)	PUNCT
ejpam-5527	362	1	∈	∈	PROPN
ejpam-5527	362	2	(	(	PUNCT
ejpam-5527	362	3	φ⋇	φ⋇	PROPN
ejpam-5527	362	4	,	,	PUNCT
ejpam-5527	362	5	q̌φ)ζ̄+	q̌φ)ζ̄+	VERB
ejpam-5527	362	6	.	.	PUNCT
ejpam-5527	363	1	if	if	SCONJ
ejpam-5527	363	2	š	š	PROPN
ejpam-5527	363	3	≥	≥	NOUN
ejpam-5527	363	4	φ	φ	NUM
ejpam-5527	363	5	2	2	NUM
ejpam-5527	363	6	−	−	PROPN
ejpam-5527	363	7	φ⋇	φ⋇	PROPN
ejpam-5527	363	8	2	2	NUM
ejpam-5527	363	9	and	and	CCONJ
ejpam-5527	363	10	ǔ	ǔ	SYM
ejpam-5527	363	11	≤	≤	NOUN
ejpam-5527	363	12	−φ	−φ	NOUN
ejpam-5527	363	13	2	2	NUM
ejpam-5527	363	14	+	+	CCONJ
ejpam-5527	363	15	φ⋇	φ⋇	PROPN
ejpam-5527	363	16	2	2	NUM
ejpam-5527	363	17	,	,	PUNCT
ejpam-5527	363	18	then	then	ADV
ejpam-5527	363	19	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	363	20	≬	≬	PROPN
ejpam-5527	363	21	(	(	PUNCT
ejpam-5527	363	22	ϱ̌1	ϱ̌1	NUM
ejpam-5527	363	23	≬	≬	PROPN
ejpam-5527	363	24	(	(	PUNCT
ejpam-5527	363	25	ϱ̌1	ϱ̌1	X
ejpam-5527	363	26	≬	≬	PROPN
ejpam-5527	363	27	ϱ̌0	ϱ̌0	NUM
ejpam-5527	363	28	)	)	PUNCT
ejpam-5527	363	29	)	)	PUNCT
ejpam-5527	363	30	)	)	PUNCT
ejpam-5527	363	31	≤	≤	NOUN
ejpam-5527	363	32	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	363	33	≬	≬	PROPN
ejpam-5527	363	34	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	363	35	)	)	PUNCT
ejpam-5527	363	36	≬	≬	PROPN
ejpam-5527	363	37	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	363	38	)	)	PUNCT
ejpam-5527	363	39	∨	∨	NUM
ejpam-5527	363	40	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	363	41	)	)	PUNCT
ejpam-5527	363	42	∨	∨	NUM
ejpam-5527	363	43	(	(	PUNCT
ejpam-5527	363	44	φ	φ	PROPN
ejpam-5527	363	45	2	2	NUM
ejpam-5527	363	46	−	−	PROPN
ejpam-5527	363	47	φ⋇	φ⋇	PROPN
ejpam-5527	363	48	2	2	NUM
ejpam-5527	363	49	)	)	PUNCT
ejpam-5527	363	50	≤	≤	NUM
ejpam-5527	363	51	š	š	PROPN
ejpam-5527	363	52	∨	∨	NOUN
ejpam-5527	363	53	(	(	PUNCT
ejpam-5527	363	54	φ−	φ−	PROPN
ejpam-5527	363	55	φ⋇	φ⋇	PROPN
ejpam-5527	363	56	−	−	PROPN
ejpam-5527	363	57	š	š	PROPN
ejpam-5527	363	58	)	)	PUNCT
ejpam-5527	363	59	∨	∨	PROPN
ejpam-5527	363	60	(	(	PUNCT
ejpam-5527	363	61	φ	φ	PROPN
ejpam-5527	363	62	2	2	NUM
ejpam-5527	363	63	−	−	PROPN
ejpam-5527	363	64	φ⋇	φ⋇	PROPN
ejpam-5527	363	65	2	2	NUM
ejpam-5527	363	66	)	)	PUNCT
ejpam-5527	363	67	=	=	VERB
ejpam-5527	364	1	š.	š.	NOUN
ejpam-5527	364	2	and	and	CCONJ
ejpam-5527	364	3	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	364	4	≬	≬	PROPN
ejpam-5527	364	5	(	(	PUNCT
ejpam-5527	364	6	ϱ̌1	ϱ̌1	NUM
ejpam-5527	364	7	≬	≬	PROPN
ejpam-5527	364	8	(	(	PUNCT
ejpam-5527	364	9	ϱ̌1	ϱ̌1	X
ejpam-5527	364	10	≬	≬	PROPN
ejpam-5527	364	11	ϱ̌0	ϱ̌0	NUM
ejpam-5527	364	12	)	)	PUNCT
ejpam-5527	364	13	)	)	PUNCT
ejpam-5527	364	14	)	)	PUNCT
ejpam-5527	364	15	≥	≥	X
ejpam-5527	365	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	365	2	≬	≬	PROPN
ejpam-5527	365	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	365	4	)	)	PUNCT
ejpam-5527	365	5	≬	≬	PROPN
ejpam-5527	365	6	ϱ̌2	ϱ̌2	PART
ejpam-5527	365	7	)	)	PUNCT
ejpam-5527	365	8	∧	∧	PROPN
ejpam-5527	365	9	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	365	10	)	)	PUNCT
ejpam-5527	365	11	∧	∧	NOUN
ejpam-5527	365	12	(	(	PUNCT
ejpam-5527	365	13	−φ	−φ	NOUN
ejpam-5527	365	14	2	2	NUM
ejpam-5527	365	15	+	+	CCONJ
ejpam-5527	365	16	φ⋇	φ⋇	PROPN
ejpam-5527	365	17	2	2	NUM
ejpam-5527	365	18	)	)	PUNCT
ejpam-5527	365	19	≥	≥	NOUN
ejpam-5527	366	1	ǔ	ǔ	PROPN
ejpam-5527	366	2	∧	∧	PROPN
ejpam-5527	366	3	(	(	PUNCT
ejpam-5527	366	4	−φ+	−φ+	NOUN
ejpam-5527	366	5	φ⋇	φ⋇	PROPN
ejpam-5527	366	6	−	−	PROPN
ejpam-5527	366	7	ǔ	ǔ	SYM
ejpam-5527	366	8	)	)	PUNCT
ejpam-5527	366	9	∧	∧	NOUN
ejpam-5527	366	10	(	(	PUNCT
ejpam-5527	366	11	−φ	−φ	NOUN
ejpam-5527	366	12	2	2	NUM
ejpam-5527	366	13	+	+	CCONJ
ejpam-5527	366	14	φ⋇	φ⋇	PROPN
ejpam-5527	366	15	2	2	NUM
ejpam-5527	366	16	)	)	PUNCT
ejpam-5527	366	17	=	=	SYM
ejpam-5527	366	18	ǔ.	ǔ.	PROPN
ejpam-5527	366	19	thus	thus	ADV
ejpam-5527	366	20	,	,	PUNCT
ejpam-5527	366	21	ϱ̌0	ϱ̌0	NUM
ejpam-5527	366	22	≬	≬	PROPN
ejpam-5527	366	23	(	(	PUNCT
ejpam-5527	366	24	ϱ̌1	ϱ̌1	NUM
ejpam-5527	366	25	≬	≬	PROPN
ejpam-5527	366	26	(	(	PUNCT
ejpam-5527	366	27	ϱ̌1	ϱ̌1	X
ejpam-5527	366	28	≬	≬	PROPN
ejpam-5527	366	29	ϱ̌0))š	ϱ̌0))š	PROPN
ejpam-5527	366	30	∈	∈	PROPN
ejpam-5527	366	31	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	366	32	,	,	PUNCT
ejpam-5527	366	33	q̌φ)ζ̄−	q̌φ)ζ̄−	PROPN
ejpam-5527	366	34	and	and	CCONJ
ejpam-5527	366	35	ϱ̌0	ϱ̌0	VERB
ejpam-5527	366	36	≬	≬	PROPN
ejpam-5527	366	37	(	(	PUNCT
ejpam-5527	366	38	ϱ̌1	ϱ̌1	NUM
ejpam-5527	366	39	≬	≬	PROPN
ejpam-5527	366	40	(	(	PUNCT
ejpam-5527	366	41	ϱ̌1	ϱ̌1	X
ejpam-5527	366	42	≬	≬	PROPN
ejpam-5527	366	43	ϱ̌0))ǔ	ϱ̌0))ǔ	PROPN
ejpam-5527	366	44	∈	∈	PROPN
ejpam-5527	366	45	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	366	46	,	,	PUNCT
ejpam-5527	366	47	q̌φ)ζ̄+	q̌φ)ζ̄+	VERB
ejpam-5527	366	48	.	.	PUNCT
ejpam-5527	367	1	therefore	therefore	ADV
ejpam-5527	367	2	,	,	PUNCT
ejpam-5527	367	3	[	[	X
ejpam-5527	367	4	ζ̄](š,ǔ	ζ̄](š,ǔ	NOUN
ejpam-5527	367	5	)	)	PUNCT
ejpam-5527	367	6	.	.	PUNCT
ejpam-5527	368	1	k.	k.	PROPN
ejpam-5527	368	2	h.	h.	PROPN
ejpam-5527	368	3	hakami	hakami	PROPN
ejpam-5527	368	4	et	et	PROPN
ejpam-5527	368	5	al	al	PROPN
ejpam-5527	368	6	.	.	PUNCT
ejpam-5527	368	7	/	/	SYM
ejpam-5527	368	8	eur	eur	PROPN
ejpam-5527	368	9	.	.	PUNCT
ejpam-5527	369	1	j.	j.	PROPN
ejpam-5527	369	2	pure	pure	PROPN
ejpam-5527	369	3	appl	appl	PROPN
ejpam-5527	369	4	.	.	PROPN
ejpam-5527	369	5	math	math	PROPN
ejpam-5527	369	6	,	,	PUNCT
ejpam-5527	369	7	17	17	NUM
ejpam-5527	369	8	(	(	PUNCT
ejpam-5527	369	9	4	4	NUM
ejpam-5527	369	10	)	)	PUNCT
ejpam-5527	369	11	(	(	PUNCT
ejpam-5527	369	12	2024	2024	NUM
ejpam-5527	369	13	)	)	PUNCT
ejpam-5527	369	14	,	,	PUNCT
ejpam-5527	369	15	3973	3973	NUM
ejpam-5527	369	16	-	-	SYM
ejpam-5527	369	17	3993	3993	NUM
ejpam-5527	369	18	3988	3988	NUM
ejpam-5527	369	19	case	case	NOUN
ejpam-5527	369	20	3	3	NUM
ejpam-5527	369	21	.	.	X
ejpam-5527	369	22	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	369	23	≬	≬	PROPN
ejpam-5527	369	24	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	369	25	)	)	PUNCT
ejpam-5527	369	26	≬	≬	PROPN
ejpam-5527	369	27	ϱ̌2)+	ϱ̌2)+	PROPN
ejpam-5527	369	28	š	š	PROPN
ejpam-5527	369	29	<	<	X
ejpam-5527	369	30	φ−φ⋇	φ−φ⋇	NUM
ejpam-5527	369	31	,	,	PUNCT
ejpam-5527	369	32	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	369	33	)	)	PUNCT
ejpam-5527	369	34	≤	≤	NOUN
ejpam-5527	369	35	š	š	PROPN
ejpam-5527	369	36	and	and	CCONJ
ejpam-5527	369	37	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	369	38	≬	≬	PROPN
ejpam-5527	369	39	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	369	40	)	)	PUNCT
ejpam-5527	369	41	≬	≬	PROPN
ejpam-5527	369	42	ϱ̌2)+	ϱ̌2)+	PROPN
ejpam-5527	369	43	ǔ	ǔ	PROPN
ejpam-5527	369	44	>	>	X
ejpam-5527	369	45	−φ+φ⋇	−φ+φ⋇	PROPN
ejpam-5527	369	46	,	,	PUNCT
ejpam-5527	369	47	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	369	48	)	)	PUNCT
ejpam-5527	369	49	≥	≥	NOUN
ejpam-5527	369	50	ǔ.	ǔ.	ADJ
ejpam-5527	369	51	if	if	SCONJ
ejpam-5527	369	52	š	š	PROPN
ejpam-5527	369	53	<	<	X
ejpam-5527	369	54	φ	φ	X
ejpam-5527	369	55	2	2	NUM
ejpam-5527	369	56	−	−	PROPN
ejpam-5527	369	57	φ⋇	φ⋇	PROPN
ejpam-5527	369	58	2	2	NUM
ejpam-5527	369	59	and	and	CCONJ
ejpam-5527	369	60	ǔ	ǔ	PROPN
ejpam-5527	369	61	>	>	X
ejpam-5527	369	62	−φ	−φ	NOUN
ejpam-5527	369	63	2	2	NUM
ejpam-5527	369	64	+	+	CCONJ
ejpam-5527	369	65	φ⋇	φ⋇	PROPN
ejpam-5527	369	66	2	2	NUM
ejpam-5527	369	67	,	,	PUNCT
ejpam-5527	369	68	then	then	ADV
ejpam-5527	369	69	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	369	70	≬	≬	PROPN
ejpam-5527	369	71	(	(	PUNCT
ejpam-5527	369	72	ϱ̌1	ϱ̌1	NUM
ejpam-5527	369	73	≬	≬	PROPN
ejpam-5527	369	74	(	(	PUNCT
ejpam-5527	369	75	ϱ̌1	ϱ̌1	X
ejpam-5527	369	76	≬	≬	PROPN
ejpam-5527	369	77	ϱ̌0	ϱ̌0	NUM
ejpam-5527	369	78	)	)	PUNCT
ejpam-5527	369	79	)	)	PUNCT
ejpam-5527	369	80	)	)	PUNCT
ejpam-5527	369	81	≤	≤	NOUN
ejpam-5527	369	82	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	369	83	≬	≬	PROPN
ejpam-5527	369	84	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	369	85	)	)	PUNCT
ejpam-5527	369	86	≬	≬	PROPN
ejpam-5527	369	87	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	369	88	)	)	PUNCT
ejpam-5527	369	89	∨	∨	NUM
ejpam-5527	369	90	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	369	91	)	)	PUNCT
ejpam-5527	369	92	∨	∨	NUM
ejpam-5527	369	93	(	(	PUNCT
ejpam-5527	369	94	φ	φ	PROPN
ejpam-5527	369	95	2	2	NUM
ejpam-5527	369	96	−	−	PROPN
ejpam-5527	369	97	φ⋇	φ⋇	PROPN
ejpam-5527	369	98	2	2	NUM
ejpam-5527	369	99	)	)	PUNCT
ejpam-5527	369	100	=	=	SYM
ejpam-5527	370	1	(	(	PUNCT
ejpam-5527	370	2	φ−	φ−	PROPN
ejpam-5527	370	3	φ⋇	φ⋇	PROPN
ejpam-5527	370	4	−	−	PROPN
ejpam-5527	370	5	š	š	PROPN
ejpam-5527	370	6	)	)	PUNCT
ejpam-5527	370	7	∨	∨	PROPN
ejpam-5527	370	8	(	(	PUNCT
ejpam-5527	370	9	φ	φ	PROPN
ejpam-5527	370	10	2	2	NUM
ejpam-5527	370	11	−	−	PROPN
ejpam-5527	370	12	φ⋇	φ⋇	PROPN
ejpam-5527	370	13	2	2	NUM
ejpam-5527	370	14	)	)	PUNCT
ejpam-5527	370	15	=	=	SYM
ejpam-5527	370	16	φ−	φ−	PROPN
ejpam-5527	370	17	φ⋇	φ⋇	PROPN
ejpam-5527	370	18	−	−	PROPN
ejpam-5527	370	19	š	š	X
ejpam-5527	370	20	and	and	CCONJ
ejpam-5527	370	21	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	370	22	≬	≬	PROPN
ejpam-5527	370	23	(	(	PUNCT
ejpam-5527	370	24	ϱ̌1	ϱ̌1	NUM
ejpam-5527	370	25	≬	≬	PROPN
ejpam-5527	370	26	(	(	PUNCT
ejpam-5527	370	27	ϱ̌1	ϱ̌1	X
ejpam-5527	370	28	≬	≬	PROPN
ejpam-5527	370	29	ϱ̌0	ϱ̌0	NUM
ejpam-5527	370	30	)	)	PUNCT
ejpam-5527	370	31	)	)	PUNCT
ejpam-5527	370	32	)	)	PUNCT
ejpam-5527	370	33	≥	≥	X
ejpam-5527	371	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	371	2	≬	≬	PROPN
ejpam-5527	371	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	371	4	)	)	PUNCT
ejpam-5527	371	5	≬	≬	PROPN
ejpam-5527	371	6	ϱ̌2	ϱ̌2	PART
ejpam-5527	371	7	)	)	PUNCT
ejpam-5527	371	8	∧	∧	PROPN
ejpam-5527	371	9	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	371	10	)	)	PUNCT
ejpam-5527	371	11	∧	∧	NOUN
ejpam-5527	371	12	(	(	PUNCT
ejpam-5527	371	13	−φ	−φ	NOUN
ejpam-5527	371	14	2	2	NUM
ejpam-5527	371	15	+	+	CCONJ
ejpam-5527	371	16	φ⋇	φ⋇	PROPN
ejpam-5527	371	17	2	2	NUM
ejpam-5527	371	18	)	)	PUNCT
ejpam-5527	371	19	=	=	PRON
ejpam-5527	371	20	(	(	PUNCT
ejpam-5527	371	21	−φ+	−φ+	NOUN
ejpam-5527	371	22	1−	1−	NUM
ejpam-5527	371	23	ǔ	ǔ	NOUN
ejpam-5527	371	24	)	)	PUNCT
ejpam-5527	372	1	∧	∧	NOUN
ejpam-5527	372	2	(	(	PUNCT
ejpam-5527	372	3	−φ	−φ	NOUN
ejpam-5527	372	4	2	2	NUM
ejpam-5527	372	5	+	+	CCONJ
ejpam-5527	372	6	φ⋇	φ⋇	PROPN
ejpam-5527	372	7	2	2	NUM
ejpam-5527	372	8	)	)	PUNCT
ejpam-5527	372	9	=	=	PUNCT
ejpam-5527	372	10	−φ+	−φ+	NOUN
ejpam-5527	372	11	φ⋇	φ⋇	PROPN
ejpam-5527	372	12	−	−	PROPN
ejpam-5527	372	13	ǔ.	ǔ.	PROPN
ejpam-5527	372	14	hence	hence	ADV
ejpam-5527	372	15	,	,	PUNCT
ejpam-5527	372	16	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	372	17	≬	≬	PROPN
ejpam-5527	372	18	(	(	PUNCT
ejpam-5527	372	19	ϱ̌1	ϱ̌1	NUM
ejpam-5527	372	20	≬	≬	PROPN
ejpam-5527	372	21	(	(	PUNCT
ejpam-5527	372	22	ϱ̌1	ϱ̌1	X
ejpam-5527	372	23	≬	≬	PROPN
ejpam-5527	372	24	ϱ̌0	ϱ̌0	NUM
ejpam-5527	372	25	)	)	PUNCT
ejpam-5527	372	26	)	)	PUNCT
ejpam-5527	372	27	)	)	PUNCT
ejpam-5527	373	1	+	+	CCONJ
ejpam-5527	373	2	š	š	X
ejpam-5527	373	3	<	<	X
ejpam-5527	373	4	φ	φ	X
ejpam-5527	373	5	2	2	NUM
ejpam-5527	373	6	−	−	PROPN
ejpam-5527	373	7	φ⋇	φ⋇	PROPN
ejpam-5527	373	8	2	2	NUM
ejpam-5527	373	9	+	+	CCONJ
ejpam-5527	373	10	φ	φ	PROPN
ejpam-5527	373	11	2	2	NUM
ejpam-5527	373	12	−	−	PROPN
ejpam-5527	373	13	φ⋇	φ⋇	PROPN
ejpam-5527	373	14	2	2	NUM
ejpam-5527	373	15	=	=	SYM
ejpam-5527	373	16	φ−	φ−	PROPN
ejpam-5527	373	17	φ⋇	φ⋇	NOUN
ejpam-5527	373	18	and	and	CCONJ
ejpam-5527	373	19	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	373	20	≬	≬	PROPN
ejpam-5527	373	21	(	(	PUNCT
ejpam-5527	373	22	ϱ̌1	ϱ̌1	NUM
ejpam-5527	373	23	≬	≬	PROPN
ejpam-5527	373	24	(	(	PUNCT
ejpam-5527	373	25	ϱ̌1	ϱ̌1	X
ejpam-5527	373	26	≬	≬	PROPN
ejpam-5527	373	27	ϱ̌0	ϱ̌0	NUM
ejpam-5527	373	28	)	)	PUNCT
ejpam-5527	373	29	)	)	PUNCT
ejpam-5527	373	30	)	)	PUNCT
ejpam-5527	374	1	+	+	CCONJ
ejpam-5527	374	2	ǔ	ǔ	SYM
ejpam-5527	374	3	>	>	X
ejpam-5527	374	4	−φ	−φ	NOUN
ejpam-5527	374	5	2	2	NUM
ejpam-5527	374	6	+	+	CCONJ
ejpam-5527	374	7	φ⋇	φ⋇	PROPN
ejpam-5527	374	8	2	2	NUM
ejpam-5527	374	9	−	−	PROPN
ejpam-5527	374	10	φ	φ	NUM
ejpam-5527	374	11	2	2	NUM
ejpam-5527	374	12	+	+	CCONJ
ejpam-5527	374	13	φ⋇	φ⋇	PROPN
ejpam-5527	374	14	2	2	NUM
ejpam-5527	374	15	=	=	SYM
ejpam-5527	374	16	−φ+	−φ+	NOUN
ejpam-5527	374	17	φ⋇	φ⋇	PROPN
ejpam-5527	374	18	,	,	PUNCT
ejpam-5527	374	19	and	and	CCONJ
ejpam-5527	374	20	so	so	ADV
ejpam-5527	374	21	,	,	PUNCT
ejpam-5527	374	22	ϱ̌0	ϱ̌0	NUM
ejpam-5527	374	23	≬	≬	PROPN
ejpam-5527	374	24	(	(	PUNCT
ejpam-5527	374	25	ϱ̌1	ϱ̌1	NUM
ejpam-5527	374	26	≬	≬	PROPN
ejpam-5527	374	27	(	(	PUNCT
ejpam-5527	374	28	ϱ̌1	ϱ̌1	X
ejpam-5527	374	29	≬	≬	PROPN
ejpam-5527	374	30	ϱ̌0	ϱ̌0	NUM
ejpam-5527	374	31	)	)	PUNCT
ejpam-5527	374	32	)	)	PUNCT
ejpam-5527	375	1	∈	∈	PROPN
ejpam-5527	375	2	(	(	PUNCT
ejpam-5527	375	3	φ⋇	φ⋇	PROPN
ejpam-5527	375	4	,	,	PUNCT
ejpam-5527	375	5	q̌φ)ζ̄−	q̌φ)ζ̄−	PROPN
ejpam-5527	375	6	and	and	CCONJ
ejpam-5527	375	7	ϱ̌0	ϱ̌0	VERB
ejpam-5527	375	8	≬	≬	PROPN
ejpam-5527	375	9	(	(	PUNCT
ejpam-5527	375	10	ϱ̌1	ϱ̌1	NUM
ejpam-5527	375	11	≬	≬	PROPN
ejpam-5527	375	12	(	(	PUNCT
ejpam-5527	375	13	ϱ̌1	ϱ̌1	X
ejpam-5527	375	14	≬	≬	PROPN
ejpam-5527	375	15	ϱ̌0	ϱ̌0	NUM
ejpam-5527	375	16	)	)	PUNCT
ejpam-5527	375	17	)	)	PUNCT
ejpam-5527	376	1	∈	∈	PROPN
ejpam-5527	376	2	(	(	PUNCT
ejpam-5527	376	3	φ⋇	φ⋇	PROPN
ejpam-5527	376	4	,	,	PUNCT
ejpam-5527	376	5	q̌φ)ζ̄+	q̌φ)ζ̄+	VERB
ejpam-5527	376	6	.	.	PUNCT
ejpam-5527	377	1	if	if	SCONJ
ejpam-5527	377	2	š	š	PROPN
ejpam-5527	377	3	≥	≥	NOUN
ejpam-5527	377	4	φ	φ	NUM
ejpam-5527	377	5	2	2	NUM
ejpam-5527	377	6	−	−	PROPN
ejpam-5527	377	7	φ⋇	φ⋇	PROPN
ejpam-5527	377	8	2	2	NUM
ejpam-5527	377	9	and	and	CCONJ
ejpam-5527	377	10	ǔ	ǔ	SYM
ejpam-5527	377	11	≤	≤	NOUN
ejpam-5527	377	12	−φ	−φ	NOUN
ejpam-5527	377	13	2	2	NUM
ejpam-5527	377	14	+	+	CCONJ
ejpam-5527	377	15	φ⋇	φ⋇	PROPN
ejpam-5527	377	16	2	2	NUM
ejpam-5527	377	17	,	,	PUNCT
ejpam-5527	377	18	then	then	ADV
ejpam-5527	377	19	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	377	20	≬	≬	PROPN
ejpam-5527	377	21	(	(	PUNCT
ejpam-5527	377	22	ϱ̌1	ϱ̌1	NUM
ejpam-5527	377	23	≬	≬	PROPN
ejpam-5527	377	24	(	(	PUNCT
ejpam-5527	377	25	ϱ̌1	ϱ̌1	X
ejpam-5527	377	26	≬	≬	PROPN
ejpam-5527	377	27	ϱ̌0	ϱ̌0	NUM
ejpam-5527	377	28	)	)	PUNCT
ejpam-5527	377	29	)	)	PUNCT
ejpam-5527	377	30	)	)	PUNCT
ejpam-5527	377	31	≤	≤	NOUN
ejpam-5527	377	32	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	377	33	≬	≬	PROPN
ejpam-5527	377	34	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	377	35	)	)	PUNCT
ejpam-5527	377	36	≬	≬	PROPN
ejpam-5527	377	37	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	377	38	)	)	PUNCT
ejpam-5527	377	39	∨	∨	NUM
ejpam-5527	377	40	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	377	41	)	)	PUNCT
ejpam-5527	377	42	∨	∨	NUM
ejpam-5527	377	43	(	(	PUNCT
ejpam-5527	377	44	φ	φ	PROPN
ejpam-5527	377	45	2	2	NUM
ejpam-5527	377	46	−	−	PROPN
ejpam-5527	377	47	φ⋇	φ⋇	PROPN
ejpam-5527	377	48	2	2	NUM
ejpam-5527	377	49	)	)	PUNCT
ejpam-5527	377	50	≤	≤	NOUN
ejpam-5527	377	51	(	(	PUNCT
ejpam-5527	377	52	φ−	φ−	PROPN
ejpam-5527	377	53	φ⋇	φ⋇	PROPN
ejpam-5527	377	54	−	−	PROPN
ejpam-5527	377	55	š	š	PROPN
ejpam-5527	377	56	)	)	PUNCT
ejpam-5527	377	57	∨	∨	NUM
ejpam-5527	377	58	š	š	X
ejpam-5527	377	59	∨	∨	NUM
ejpam-5527	377	60	(	(	PUNCT
ejpam-5527	377	61	φ	φ	PROPN
ejpam-5527	377	62	2	2	NUM
ejpam-5527	377	63	−	−	PROPN
ejpam-5527	377	64	φ⋇	φ⋇	PROPN
ejpam-5527	377	65	2	2	NUM
ejpam-5527	377	66	)	)	PUNCT
ejpam-5527	377	67	=	=	SYM
ejpam-5527	377	68	š	š	X
ejpam-5527	377	69	and	and	CCONJ
ejpam-5527	377	70	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	377	71	≬	≬	PROPN
ejpam-5527	377	72	(	(	PUNCT
ejpam-5527	377	73	ϱ̌1	ϱ̌1	NUM
ejpam-5527	377	74	≬	≬	PROPN
ejpam-5527	377	75	(	(	PUNCT
ejpam-5527	377	76	ϱ̌1	ϱ̌1	X
ejpam-5527	377	77	≬	≬	PROPN
ejpam-5527	377	78	ϱ̌0	ϱ̌0	NUM
ejpam-5527	377	79	)	)	PUNCT
ejpam-5527	377	80	)	)	PUNCT
ejpam-5527	377	81	)	)	PUNCT
ejpam-5527	377	82	≥	≥	X
ejpam-5527	378	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	378	2	≬	≬	PROPN
ejpam-5527	378	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	378	4	)	)	PUNCT
ejpam-5527	378	5	≬	≬	PROPN
ejpam-5527	378	6	ϱ̌2	ϱ̌2	PART
ejpam-5527	378	7	)	)	PUNCT
ejpam-5527	378	8	∧	∧	PROPN
ejpam-5527	378	9	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	378	10	)	)	PUNCT
ejpam-5527	378	11	∧	∧	NOUN
ejpam-5527	378	12	(	(	PUNCT
ejpam-5527	378	13	−φ	−φ	NOUN
ejpam-5527	378	14	2	2	NUM
ejpam-5527	378	15	+	+	CCONJ
ejpam-5527	378	16	φ⋇	φ⋇	PROPN
ejpam-5527	378	17	2	2	NUM
ejpam-5527	378	18	)	)	PUNCT
ejpam-5527	378	19	≥	≥	NOUN
ejpam-5527	378	20	(	(	PUNCT
ejpam-5527	378	21	−φ+	−φ+	NOUN
ejpam-5527	378	22	φ⋇	φ⋇	PROPN
ejpam-5527	378	23	−	−	PROPN
ejpam-5527	378	24	ǔ	ǔ	SYM
ejpam-5527	378	25	)	)	PUNCT
ejpam-5527	378	26	∧	∧	NOUN
ejpam-5527	378	27	ǔ	ǔ	PROPN
ejpam-5527	378	28	∧	∧	PROPN
ejpam-5527	378	29	(	(	PUNCT
ejpam-5527	378	30	−φ	−φ	NOUN
ejpam-5527	378	31	2	2	NUM
ejpam-5527	378	32	+	+	CCONJ
ejpam-5527	378	33	φ⋇	φ⋇	PROPN
ejpam-5527	378	34	2	2	NUM
ejpam-5527	378	35	)	)	PUNCT
ejpam-5527	378	36	=	=	SYM
ejpam-5527	378	37	ǔ.	ǔ.	PROPN
ejpam-5527	378	38	thus	thus	ADV
ejpam-5527	378	39	,	,	PUNCT
ejpam-5527	378	40	ϱ̌0	ϱ̌0	NUM
ejpam-5527	378	41	≬	≬	PROPN
ejpam-5527	378	42	(	(	PUNCT
ejpam-5527	378	43	ϱ̌1	ϱ̌1	NUM
ejpam-5527	378	44	≬	≬	PROPN
ejpam-5527	378	45	(	(	PUNCT
ejpam-5527	378	46	ϱ̌1	ϱ̌1	X
ejpam-5527	378	47	≬	≬	PROPN
ejpam-5527	378	48	ϱ̌0))š	ϱ̌0))š	PROPN
ejpam-5527	378	49	∈	∈	PROPN
ejpam-5527	378	50	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	378	51	,	,	PUNCT
ejpam-5527	378	52	q̌φ)ζ̄−	q̌φ)ζ̄−	PROPN
ejpam-5527	378	53	and	and	CCONJ
ejpam-5527	378	54	ϱ̌0	ϱ̌0	VERB
ejpam-5527	378	55	≬	≬	PROPN
ejpam-5527	378	56	(	(	PUNCT
ejpam-5527	378	57	ϱ̌1	ϱ̌1	NUM
ejpam-5527	378	58	≬	≬	PROPN
ejpam-5527	378	59	(	(	PUNCT
ejpam-5527	378	60	ϱ̌1	ϱ̌1	X
ejpam-5527	378	61	≬	≬	PROPN
ejpam-5527	378	62	ϱ̌0))ǔ	ϱ̌0))ǔ	PROPN
ejpam-5527	378	63	∈	∈	PROPN
ejpam-5527	378	64	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	378	65	,	,	PUNCT
ejpam-5527	378	66	q̌φ)ζ̄+	q̌φ)ζ̄+	VERB
ejpam-5527	378	67	.	.	PUNCT
ejpam-5527	379	1	therefore	therefore	ADV
ejpam-5527	379	2	,	,	PUNCT
ejpam-5527	379	3	[	[	X
ejpam-5527	379	4	ζ̄](š,ǔ	ζ̄](š,ǔ	NOUN
ejpam-5527	379	5	)	)	PUNCT
ejpam-5527	379	6	.	.	PUNCT
ejpam-5527	380	1	k.	k.	PROPN
ejpam-5527	380	2	h.	h.	PROPN
ejpam-5527	380	3	hakami	hakami	PROPN
ejpam-5527	380	4	et	et	PROPN
ejpam-5527	380	5	al	al	PROPN
ejpam-5527	380	6	.	.	PUNCT
ejpam-5527	380	7	/	/	SYM
ejpam-5527	380	8	eur	eur	PROPN
ejpam-5527	380	9	.	.	PUNCT
ejpam-5527	381	1	j.	j.	PROPN
ejpam-5527	381	2	pure	pure	PROPN
ejpam-5527	381	3	appl	appl	PROPN
ejpam-5527	381	4	.	.	PROPN
ejpam-5527	381	5	math	math	PROPN
ejpam-5527	381	6	,	,	PUNCT
ejpam-5527	381	7	17	17	NUM
ejpam-5527	381	8	(	(	PUNCT
ejpam-5527	381	9	4	4	NUM
ejpam-5527	381	10	)	)	PUNCT
ejpam-5527	381	11	(	(	PUNCT
ejpam-5527	381	12	2024	2024	NUM
ejpam-5527	381	13	)	)	PUNCT
ejpam-5527	381	14	,	,	PUNCT
ejpam-5527	381	15	3973	3973	NUM
ejpam-5527	381	16	-	-	SYM
ejpam-5527	381	17	3993	3993	NUM
ejpam-5527	381	18	3989	3989	NUM
ejpam-5527	381	19	case	case	NOUN
ejpam-5527	381	20	4	4	NUM
ejpam-5527	381	21	.	.	X
ejpam-5527	381	22	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	381	23	≬	≬	PROPN
ejpam-5527	381	24	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	381	25	)	)	PUNCT
ejpam-5527	381	26	≬	≬	PROPN
ejpam-5527	381	27	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	381	28	)	)	PUNCT
ejpam-5527	381	29	+	+	CCONJ
ejpam-5527	381	30	š	š	X
ejpam-5527	381	31	<	<	X
ejpam-5527	381	32	φ	φ	PROPN
ejpam-5527	381	33	−	−	PROPN
ejpam-5527	381	34	φ⋇	φ⋇	PROPN
ejpam-5527	381	35	,	,	PUNCT
ejpam-5527	381	36	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	381	37	)	)	PUNCT
ejpam-5527	381	38	+	+	CCONJ
ejpam-5527	381	39	š	š	X
ejpam-5527	381	40	<	<	X
ejpam-5527	381	41	φ	φ	PROPN
ejpam-5527	381	42	−	−	PROPN
ejpam-5527	381	43	φ⋇	φ⋇	PROPN
ejpam-5527	381	44	and	and	CCONJ
ejpam-5527	381	45	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	381	46	≬	≬	PROPN
ejpam-5527	381	47	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	381	48	)	)	PUNCT
ejpam-5527	381	49	≬	≬	PROPN
ejpam-5527	381	50	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	381	51	)	)	PUNCT
ejpam-5527	382	1	+	+	CCONJ
ejpam-5527	382	2	ǔ	ǔ	SYM
ejpam-5527	382	3	>	>	X
ejpam-5527	382	4	−φ+	−φ+	PROPN
ejpam-5527	382	5	φ⋇	φ⋇	PROPN
ejpam-5527	382	6	,	,	PUNCT
ejpam-5527	382	7	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	382	8	)	)	PUNCT
ejpam-5527	382	9	+	+	CCONJ
ejpam-5527	382	10	ǔ	ǔ	SYM
ejpam-5527	382	11	>	>	X
ejpam-5527	382	12	−φ+	−φ+	NOUN
ejpam-5527	382	13	φ⋇.	φ⋇.	NOUN
ejpam-5527	382	14	if	if	SCONJ
ejpam-5527	382	15	š	š	PROPN
ejpam-5527	382	16	<	<	X
ejpam-5527	382	17	φ	φ	X
ejpam-5527	382	18	2	2	NUM
ejpam-5527	382	19	−	−	PROPN
ejpam-5527	382	20	φ⋇	φ⋇	PROPN
ejpam-5527	382	21	2	2	NUM
ejpam-5527	382	22	and	and	CCONJ
ejpam-5527	382	23	ǔ	ǔ	PROPN
ejpam-5527	382	24	>	>	X
ejpam-5527	382	25	−φ	−φ	NOUN
ejpam-5527	382	26	2	2	NUM
ejpam-5527	382	27	+	+	CCONJ
ejpam-5527	382	28	φ⋇	φ⋇	PROPN
ejpam-5527	382	29	2	2	NUM
ejpam-5527	382	30	,	,	PUNCT
ejpam-5527	382	31	then	then	ADV
ejpam-5527	382	32	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	382	33	≬	≬	PROPN
ejpam-5527	382	34	(	(	PUNCT
ejpam-5527	382	35	ϱ̌1	ϱ̌1	NUM
ejpam-5527	382	36	≬	≬	PROPN
ejpam-5527	382	37	(	(	PUNCT
ejpam-5527	382	38	ϱ̌1	ϱ̌1	X
ejpam-5527	382	39	≬	≬	PROPN
ejpam-5527	382	40	ϱ̌0	ϱ̌0	NUM
ejpam-5527	382	41	)	)	PUNCT
ejpam-5527	382	42	)	)	PUNCT
ejpam-5527	382	43	)	)	PUNCT
ejpam-5527	382	44	≤	≤	NOUN
ejpam-5527	382	45	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	382	46	≬	≬	PROPN
ejpam-5527	382	47	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	382	48	)	)	PUNCT
ejpam-5527	382	49	≬	≬	PROPN
ejpam-5527	382	50	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	382	51	)	)	PUNCT
ejpam-5527	382	52	∨	∨	NUM
ejpam-5527	382	53	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	382	54	)	)	PUNCT
ejpam-5527	382	55	∨	∨	NUM
ejpam-5527	382	56	(	(	PUNCT
ejpam-5527	382	57	φ	φ	PROPN
ejpam-5527	382	58	2	2	NUM
ejpam-5527	382	59	−	−	PROPN
ejpam-5527	382	60	φ⋇	φ⋇	PROPN
ejpam-5527	382	61	2	2	NUM
ejpam-5527	382	62	)	)	PUNCT
ejpam-5527	382	63	=	=	SYM
ejpam-5527	383	1	(	(	PUNCT
ejpam-5527	383	2	φ−	φ−	PROPN
ejpam-5527	383	3	φ⋇	φ⋇	PROPN
ejpam-5527	383	4	−	−	PROPN
ejpam-5527	383	5	š	š	PROPN
ejpam-5527	383	6	)	)	PUNCT
ejpam-5527	383	7	∨	∨	PROPN
ejpam-5527	383	8	(	(	PUNCT
ejpam-5527	383	9	φ	φ	PROPN
ejpam-5527	383	10	2	2	NUM
ejpam-5527	383	11	−	−	PROPN
ejpam-5527	383	12	φ⋇	φ⋇	PROPN
ejpam-5527	383	13	2	2	NUM
ejpam-5527	383	14	)	)	PUNCT
ejpam-5527	383	15	=	=	SYM
ejpam-5527	383	16	φ−	φ−	PROPN
ejpam-5527	383	17	φ⋇	φ⋇	PROPN
ejpam-5527	383	18	−	−	PROPN
ejpam-5527	383	19	š	š	X
ejpam-5527	383	20	and	and	CCONJ
ejpam-5527	383	21	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	383	22	≬	≬	PROPN
ejpam-5527	383	23	(	(	PUNCT
ejpam-5527	383	24	ϱ̌1	ϱ̌1	NUM
ejpam-5527	383	25	≬	≬	PROPN
ejpam-5527	383	26	(	(	PUNCT
ejpam-5527	383	27	ϱ̌1	ϱ̌1	X
ejpam-5527	383	28	≬	≬	PROPN
ejpam-5527	383	29	ϱ̌0	ϱ̌0	NUM
ejpam-5527	383	30	)	)	PUNCT
ejpam-5527	383	31	)	)	PUNCT
ejpam-5527	383	32	)	)	PUNCT
ejpam-5527	383	33	≥	≥	X
ejpam-5527	384	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	384	2	≬	≬	PROPN
ejpam-5527	384	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	384	4	)	)	PUNCT
ejpam-5527	384	5	≬	≬	PROPN
ejpam-5527	384	6	ϱ̌2	ϱ̌2	PART
ejpam-5527	384	7	)	)	PUNCT
ejpam-5527	384	8	∧	∧	PROPN
ejpam-5527	384	9	ζ̄+(ϱ̌1	ζ̄+(ϱ̌1	NOUN
ejpam-5527	384	10	)	)	PUNCT
ejpam-5527	384	11	∧	∧	NOUN
ejpam-5527	384	12	(	(	PUNCT
ejpam-5527	384	13	−φ	−φ	NOUN
ejpam-5527	384	14	2	2	NUM
ejpam-5527	384	15	+	+	CCONJ
ejpam-5527	384	16	φ⋇	φ⋇	PROPN
ejpam-5527	384	17	2	2	NUM
ejpam-5527	384	18	)	)	PUNCT
ejpam-5527	384	19	=	=	PUNCT
ejpam-5527	384	20	(	(	PUNCT
ejpam-5527	384	21	−φ+	−φ+	NOUN
ejpam-5527	384	22	φ⋇ǔ)−	φ⋇ǔ)−	PUNCT
ejpam-5527	384	23	∧(−φ	∧(−φ	PROPN
ejpam-5527	384	24	2	2	NUM
ejpam-5527	384	25	+	+	CCONJ
ejpam-5527	384	26	φ⋇	φ⋇	PROPN
ejpam-5527	384	27	2	2	NUM
ejpam-5527	384	28	)	)	PUNCT
ejpam-5527	384	29	=	=	PUNCT
ejpam-5527	384	30	−φ+	−φ+	NOUN
ejpam-5527	384	31	φ⋇	φ⋇	PROPN
ejpam-5527	384	32	−	−	PROPN
ejpam-5527	384	33	ǔ.	ǔ.	PROPN
ejpam-5527	384	34	hence	hence	ADV
ejpam-5527	384	35	,	,	PUNCT
ejpam-5527	384	36	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	384	37	≬	≬	PROPN
ejpam-5527	384	38	(	(	PUNCT
ejpam-5527	384	39	ϱ̌1	ϱ̌1	NUM
ejpam-5527	384	40	≬	≬	PROPN
ejpam-5527	384	41	(	(	PUNCT
ejpam-5527	384	42	ϱ̌1	ϱ̌1	X
ejpam-5527	384	43	≬	≬	PROPN
ejpam-5527	384	44	ϱ̌0	ϱ̌0	NUM
ejpam-5527	384	45	)	)	PUNCT
ejpam-5527	384	46	)	)	PUNCT
ejpam-5527	384	47	)	)	PUNCT
ejpam-5527	385	1	+	+	CCONJ
ejpam-5527	385	2	š	š	X
ejpam-5527	385	3	<	<	X
ejpam-5527	385	4	φ	φ	X
ejpam-5527	385	5	2	2	NUM
ejpam-5527	385	6	−	−	PROPN
ejpam-5527	385	7	φ⋇	φ⋇	PROPN
ejpam-5527	385	8	2	2	NUM
ejpam-5527	385	9	+	+	CCONJ
ejpam-5527	385	10	φ	φ	PROPN
ejpam-5527	385	11	2	2	NUM
ejpam-5527	385	12	−	−	PROPN
ejpam-5527	385	13	φ⋇	φ⋇	PROPN
ejpam-5527	385	14	2	2	NUM
ejpam-5527	385	15	=	=	SYM
ejpam-5527	385	16	φ−	φ−	PROPN
ejpam-5527	385	17	φ⋇	φ⋇	NOUN
ejpam-5527	385	18	and	and	CCONJ
ejpam-5527	385	19	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	385	20	≬	≬	PROPN
ejpam-5527	385	21	(	(	PUNCT
ejpam-5527	385	22	ϱ̌1	ϱ̌1	NUM
ejpam-5527	385	23	≬	≬	PROPN
ejpam-5527	385	24	(	(	PUNCT
ejpam-5527	385	25	ϱ̌1	ϱ̌1	X
ejpam-5527	385	26	≬	≬	PROPN
ejpam-5527	385	27	ϱ̌0	ϱ̌0	NUM
ejpam-5527	385	28	)	)	PUNCT
ejpam-5527	385	29	)	)	PUNCT
ejpam-5527	385	30	)	)	PUNCT
ejpam-5527	386	1	+	+	CCONJ
ejpam-5527	386	2	ǔ	ǔ	SYM
ejpam-5527	386	3	>	>	X
ejpam-5527	386	4	−φ	−φ	NOUN
ejpam-5527	386	5	2	2	NUM
ejpam-5527	386	6	+	+	CCONJ
ejpam-5527	386	7	φ⋇	φ⋇	PROPN
ejpam-5527	386	8	2	2	NUM
ejpam-5527	386	9	−	−	PROPN
ejpam-5527	386	10	φ	φ	NUM
ejpam-5527	386	11	2	2	NUM
ejpam-5527	386	12	+	+	CCONJ
ejpam-5527	386	13	φ⋇	φ⋇	PROPN
ejpam-5527	386	14	2	2	NUM
ejpam-5527	386	15	=	=	SYM
ejpam-5527	386	16	−φ+	−φ+	NOUN
ejpam-5527	386	17	φ⋇	φ⋇	PROPN
ejpam-5527	386	18	,	,	PUNCT
ejpam-5527	386	19	and	and	CCONJ
ejpam-5527	386	20	so	so	ADV
ejpam-5527	386	21	,	,	PUNCT
ejpam-5527	386	22	ϱ̌0	ϱ̌0	NUM
ejpam-5527	386	23	≬	≬	PROPN
ejpam-5527	386	24	(	(	PUNCT
ejpam-5527	386	25	ϱ̌1	ϱ̌1	NUM
ejpam-5527	386	26	≬	≬	PROPN
ejpam-5527	386	27	(	(	PUNCT
ejpam-5527	386	28	ϱ̌1	ϱ̌1	X
ejpam-5527	386	29	≬	≬	PROPN
ejpam-5527	386	30	ϱ̌0	ϱ̌0	NUM
ejpam-5527	386	31	)	)	PUNCT
ejpam-5527	386	32	)	)	PUNCT
ejpam-5527	387	1	∈	∈	PROPN
ejpam-5527	387	2	q̌φζ̄−	q̌φζ̄−	NOUN
ejpam-5527	387	3	and	and	CCONJ
ejpam-5527	387	4	ϱ̌0	ϱ̌0	VERB
ejpam-5527	387	5	≬	≬	PROPN
ejpam-5527	387	6	(	(	PUNCT
ejpam-5527	387	7	ϱ̌1	ϱ̌1	NUM
ejpam-5527	387	8	≬	≬	PROPN
ejpam-5527	387	9	(	(	PUNCT
ejpam-5527	387	10	ϱ̌1	ϱ̌1	X
ejpam-5527	387	11	≬	≬	PROPN
ejpam-5527	387	12	ϱ̌0	ϱ̌0	NUM
ejpam-5527	387	13	)	)	PUNCT
ejpam-5527	387	14	)	)	PUNCT
ejpam-5527	388	1	∈	∈	PROPN
ejpam-5527	388	2	q̌φζ̄+	q̌φζ̄+	NUM
ejpam-5527	388	3	.	.	PUNCT
ejpam-5527	389	1	if	if	SCONJ
ejpam-5527	389	2	š	š	PROPN
ejpam-5527	389	3	≥	≥	NOUN
ejpam-5527	389	4	φ	φ	NUM
ejpam-5527	389	5	2	2	NUM
ejpam-5527	389	6	−	−	PROPN
ejpam-5527	389	7	φ⋇	φ⋇	PROPN
ejpam-5527	389	8	2	2	NUM
ejpam-5527	389	9	and	and	CCONJ
ejpam-5527	389	10	ǔ	ǔ	SYM
ejpam-5527	389	11	≤	≤	NOUN
ejpam-5527	389	12	−φ	−φ	NOUN
ejpam-5527	389	13	2	2	NUM
ejpam-5527	389	14	+	+	CCONJ
ejpam-5527	389	15	φ⋇	φ⋇	PROPN
ejpam-5527	389	16	2	2	NUM
ejpam-5527	389	17	,	,	PUNCT
ejpam-5527	389	18	then	then	ADV
ejpam-5527	389	19	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	389	20	≬	≬	PROPN
ejpam-5527	389	21	(	(	PUNCT
ejpam-5527	389	22	ϱ̌1	ϱ̌1	NUM
ejpam-5527	389	23	≬	≬	PROPN
ejpam-5527	389	24	(	(	PUNCT
ejpam-5527	389	25	ϱ̌1	ϱ̌1	X
ejpam-5527	389	26	≬	≬	PROPN
ejpam-5527	389	27	ϱ̌0	ϱ̌0	NUM
ejpam-5527	389	28	)	)	PUNCT
ejpam-5527	389	29	)	)	PUNCT
ejpam-5527	389	30	)	)	PUNCT
ejpam-5527	389	31	≤	≤	NOUN
ejpam-5527	389	32	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	389	33	≬	≬	PROPN
ejpam-5527	389	34	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	389	35	)	)	PUNCT
ejpam-5527	389	36	≬	≬	PROPN
ejpam-5527	389	37	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	389	38	)	)	PUNCT
ejpam-5527	389	39	∨	∨	NUM
ejpam-5527	389	40	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	389	41	)	)	PUNCT
ejpam-5527	389	42	∨	∨	NUM
ejpam-5527	389	43	(	(	PUNCT
ejpam-5527	389	44	φ	φ	PROPN
ejpam-5527	389	45	2	2	NUM
ejpam-5527	389	46	−	−	PROPN
ejpam-5527	389	47	φ⋇	φ⋇	PROPN
ejpam-5527	389	48	2	2	NUM
ejpam-5527	389	49	)	)	PUNCT
ejpam-5527	389	50	≤	≤	NOUN
ejpam-5527	389	51	(	(	PUNCT
ejpam-5527	389	52	φ−	φ−	PROPN
ejpam-5527	389	53	φ⋇	φ⋇	PROPN
ejpam-5527	389	54	−	−	PROPN
ejpam-5527	389	55	š	š	PROPN
ejpam-5527	389	56	)	)	PUNCT
ejpam-5527	389	57	∨	∨	PROPN
ejpam-5527	389	58	(	(	PUNCT
ejpam-5527	389	59	φ	φ	PROPN
ejpam-5527	389	60	2	2	NUM
ejpam-5527	389	61	−	−	PROPN
ejpam-5527	389	62	φ⋇	φ⋇	PROPN
ejpam-5527	389	63	2	2	NUM
ejpam-5527	389	64	)	)	PUNCT
ejpam-5527	389	65	=	=	SYM
ejpam-5527	389	66	(	(	PUNCT
ejpam-5527	389	67	φ	φ	PROPN
ejpam-5527	389	68	2	2	NUM
ejpam-5527	389	69	−	−	PROPN
ejpam-5527	389	70	φ⋇	φ⋇	PROPN
ejpam-5527	389	71	2	2	NUM
ejpam-5527	389	72	)	)	PUNCT
ejpam-5527	389	73	≤	≤	NOUN
ejpam-5527	389	74	š	š	NOUN
ejpam-5527	389	75	and	and	CCONJ
ejpam-5527	389	76	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	389	77	≬	≬	PROPN
ejpam-5527	389	78	(	(	PUNCT
ejpam-5527	389	79	ϱ̌1	ϱ̌1	NUM
ejpam-5527	389	80	≬	≬	PROPN
ejpam-5527	389	81	(	(	PUNCT
ejpam-5527	389	82	ϱ̌1	ϱ̌1	X
ejpam-5527	389	83	≬	≬	PROPN
ejpam-5527	389	84	ϱ̌0	ϱ̌0	NUM
ejpam-5527	389	85	)	)	PUNCT
ejpam-5527	389	86	)	)	PUNCT
ejpam-5527	389	87	)	)	PUNCT
ejpam-5527	389	88	≥	≥	X
ejpam-5527	390	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	390	2	≬	≬	PROPN
ejpam-5527	390	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	390	4	)	)	PUNCT
ejpam-5527	390	5	≬	≬	PROPN
ejpam-5527	390	6	ϱ̌2	ϱ̌2	PART
ejpam-5527	390	7	)	)	PUNCT
ejpam-5527	390	8	∧	∧	PROPN
ejpam-5527	390	9	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	390	10	)	)	PUNCT
ejpam-5527	390	11	∧	∧	NOUN
ejpam-5527	390	12	(	(	PUNCT
ejpam-5527	390	13	−φ	−φ	NOUN
ejpam-5527	390	14	2	2	NUM
ejpam-5527	390	15	+	+	CCONJ
ejpam-5527	390	16	φ⋇	φ⋇	PROPN
ejpam-5527	390	17	2	2	NUM
ejpam-5527	390	18	)	)	PUNCT
ejpam-5527	390	19	≥	≥	NOUN
ejpam-5527	390	20	(	(	PUNCT
ejpam-5527	390	21	−φ+	−φ+	NOUN
ejpam-5527	390	22	φ⋇	φ⋇	PROPN
ejpam-5527	390	23	−	−	PROPN
ejpam-5527	390	24	ǔ	ǔ	SYM
ejpam-5527	390	25	)	)	PUNCT
ejpam-5527	390	26	∧	∧	NOUN
ejpam-5527	390	27	(	(	PUNCT
ejpam-5527	390	28	−φ	−φ	NOUN
ejpam-5527	390	29	2	2	NUM
ejpam-5527	390	30	+	+	CCONJ
ejpam-5527	390	31	φ⋇	φ⋇	PROPN
ejpam-5527	390	32	2	2	NUM
ejpam-5527	390	33	)	)	PUNCT
ejpam-5527	390	34	=	=	PUNCT
ejpam-5527	390	35	(	(	PUNCT
ejpam-5527	390	36	−φ	−φ	NOUN
ejpam-5527	390	37	2	2	NUM
ejpam-5527	390	38	+	+	CCONJ
ejpam-5527	390	39	φ⋇	φ⋇	PROPN
ejpam-5527	390	40	2	2	NUM
ejpam-5527	390	41	)	)	PUNCT
ejpam-5527	390	42	≥	≥	NOUN
ejpam-5527	390	43	ǔ.	ǔ.	VERB
ejpam-5527	390	44	therefore	therefore	ADV
ejpam-5527	390	45	,	,	PUNCT
ejpam-5527	390	46	ϱ̌0	ϱ̌0	ADV
ejpam-5527	390	47	≬	≬	PROPN
ejpam-5527	390	48	(	(	PUNCT
ejpam-5527	390	49	ϱ̌1	ϱ̌1	NUM
ejpam-5527	390	50	≬	≬	PROPN
ejpam-5527	390	51	(	(	PUNCT
ejpam-5527	390	52	ϱ̌1	ϱ̌1	X
ejpam-5527	390	53	≬	≬	PROPN
ejpam-5527	390	54	ϱ̌0))š	ϱ̌0))š	PROPN
ejpam-5527	390	55	∈	∈	PROPN
ejpam-5527	390	56	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	390	57	,	,	PUNCT
ejpam-5527	390	58	q̌φ)ζ̄−	q̌φ)ζ̄−	PROPN
ejpam-5527	390	59	and	and	CCONJ
ejpam-5527	390	60	ϱ̌0	ϱ̌0	VERB
ejpam-5527	390	61	≬	≬	PROPN
ejpam-5527	390	62	(	(	PUNCT
ejpam-5527	390	63	ϱ̌1	ϱ̌1	NUM
ejpam-5527	390	64	≬	≬	PROPN
ejpam-5527	390	65	(	(	PUNCT
ejpam-5527	390	66	ϱ̌1	ϱ̌1	X
ejpam-5527	390	67	≬	≬	PROPN
ejpam-5527	390	68	ϱ̌0))ǔ	ϱ̌0))ǔ	PROPN
ejpam-5527	390	69	∈	∈	PROPN
ejpam-5527	390	70	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	390	71	,	,	PUNCT
ejpam-5527	390	72	q̌φ)ζ̄+	q̌φ)ζ̄+	VERB
ejpam-5527	390	73	.	.	PUNCT
ejpam-5527	391	1	hence	hence	ADV
ejpam-5527	391	2	,	,	PUNCT
ejpam-5527	391	3	[	[	X
ejpam-5527	391	4	ζ̄](š,ǔ	ζ̄](š,ǔ	NOUN
ejpam-5527	391	5	)	)	PUNCT
ejpam-5527	391	6	.	.	PUNCT
ejpam-5527	392	1	therefore	therefore	ADV
ejpam-5527	392	2	,	,	PUNCT
ejpam-5527	392	3	[	[	X
ejpam-5527	392	4	ζ̄](š,ǔ	ζ̄](š,ǔ	NOUN
ejpam-5527	392	5	)	)	PUNCT
ejpam-5527	392	6	is	be	AUX
ejpam-5527	392	7	a	a	DET
ejpam-5527	392	8	fantastic	fantastic	ADJ
ejpam-5527	392	9	ideal	ideal	NOUN
ejpam-5527	392	10	of	of	ADP
ejpam-5527	392	11	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	392	12	conversely	conversely	ADV
ejpam-5527	392	13	,	,	PUNCT
ejpam-5527	392	14	let	let	VERB
ejpam-5527	392	15	ζ̄	ζ̄	ADV
ejpam-5527	392	16	be	be	AUX
ejpam-5527	392	17	a	a	DET
ejpam-5527	392	18	bfs	bfs	NOUN
ejpam-5527	392	19	in	in	ADP
ejpam-5527	392	20	ζ̄	ζ̄	ADJ
ejpam-5527	392	21	and	and	CCONJ
ejpam-5527	392	22	š	š	NUM
ejpam-5527	392	23	∈	∈	NOUN
ejpam-5527	393	1	[	[	X
ejpam-5527	393	2	−1	−1	NOUN
ejpam-5527	393	3	,	,	PUNCT
ejpam-5527	393	4	0	0	NUM
ejpam-5527	393	5	)	)	PUNCT
ejpam-5527	393	6	,	,	PUNCT
ejpam-5527	394	1	ǔ	ǔ	PROPN
ejpam-5527	394	2	∈	∈	PROPN
ejpam-5527	394	3	(	(	PUNCT
ejpam-5527	394	4	0	0	NUM
ejpam-5527	394	5	,	,	PUNCT
ejpam-5527	394	6	1	1	NUM
ejpam-5527	394	7	]	]	PUNCT
ejpam-5527	394	8	.	.	PUNCT
ejpam-5527	395	1	then	then	ADV
ejpam-5527	395	2	ζ̄	ζ̄	ADV
ejpam-5527	395	3	is	be	AUX
ejpam-5527	395	4	an	an	DET
ejpam-5527	395	5	(	(	PUNCT
ejpam-5527	395	6	∈,∈	∈,∈	X
ejpam-5527	395	7	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	395	8	,	,	PUNCT
ejpam-5527	395	9	q̌φ))-bffi	q̌φ))-bffi	PROPN
ejpam-5527	395	10	of	of	ADP
ejpam-5527	395	11	ℵ̌	ℵ̌	PROPN
ejpam-5527	395	12	be	be	AUX
ejpam-5527	395	13	such	such	ADJ
ejpam-5527	395	14	that	that	SCONJ
ejpam-5527	395	15	[	[	X
ejpam-5527	395	16	ζ̄](š,ǔ	ζ̄](š,ǔ	NOUN
ejpam-5527	395	17	)	)	PUNCT
ejpam-5527	395	18	is	be	AUX
ejpam-5527	395	19	a	a	DET
ejpam-5527	395	20	fantastic	fantastic	ADJ
ejpam-5527	395	21	ideal	ideal	NOUN
ejpam-5527	395	22	of	of	ADP
ejpam-5527	395	23	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	395	24	if	if	SCONJ
ejpam-5527	395	25	possible	possible	ADJ
ejpam-5527	395	26	,	,	PUNCT
ejpam-5527	395	27	let	let	VERB
ejpam-5527	395	28	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	VERB
ejpam-5527	395	29	≬	≬	PROPN
ejpam-5527	395	30	(	(	PUNCT
ejpam-5527	395	31	ϱ̌1	ϱ̌1	NUM
ejpam-5527	395	32	≬	≬	PROPN
ejpam-5527	395	33	(	(	PUNCT
ejpam-5527	395	34	ϱ̌1	ϱ̌1	X
ejpam-5527	395	35	≬	≬	PROPN
ejpam-5527	395	36	ϱ̌0	ϱ̌0	NUM
ejpam-5527	395	37	)	)	PUNCT
ejpam-5527	395	38	)	)	PUNCT
ejpam-5527	395	39	)	)	PUNCT
ejpam-5527	396	1	>	>	X
ejpam-5527	396	2	š	š	PROPN
ejpam-5527	396	3	≥	≥	PRON
ejpam-5527	396	4	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	396	5	≬	≬	PROPN
ejpam-5527	396	6	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	396	7	)	)	PUNCT
ejpam-5527	396	8	≬	≬	PROPN
ejpam-5527	396	9	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	396	10	)	)	PUNCT
ejpam-5527	396	11	∨	∨	NUM
ejpam-5527	396	12	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	396	13	)	)	PUNCT
ejpam-5527	396	14	∨	∨	NUM
ejpam-5527	396	15	(	(	PUNCT
ejpam-5527	396	16	φ	φ	PROPN
ejpam-5527	396	17	2	2	NUM
ejpam-5527	396	18	−	−	PROPN
ejpam-5527	396	19	φ⋇	φ⋇	PROPN
ejpam-5527	396	20	2	2	NUM
ejpam-5527	396	21	)	)	PUNCT
ejpam-5527	396	22	references	reference	NOUN
ejpam-5527	396	23	3990	3990	NUM
ejpam-5527	396	24	and	and	CCONJ
ejpam-5527	396	25	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	396	26	≬	≬	PROPN
ejpam-5527	396	27	(	(	PUNCT
ejpam-5527	396	28	ϱ̌1	ϱ̌1	NUM
ejpam-5527	396	29	≬	≬	PROPN
ejpam-5527	396	30	(	(	PUNCT
ejpam-5527	396	31	ϱ̌1	ϱ̌1	X
ejpam-5527	396	32	≬	≬	PROPN
ejpam-5527	396	33	ϱ̌0	ϱ̌0	NUM
ejpam-5527	396	34	)	)	PUNCT
ejpam-5527	396	35	)	)	PUNCT
ejpam-5527	396	36	)	)	PUNCT
ejpam-5527	397	1	<	<	X
ejpam-5527	397	2	ǔ	ǔ	PUNCT
ejpam-5527	397	3	≤	≤	NUM
ejpam-5527	397	4	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	397	5	≬	≬	PROPN
ejpam-5527	397	6	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	397	7	)	)	PUNCT
ejpam-5527	397	8	≬	≬	PROPN
ejpam-5527	397	9	ϱ̌2	ϱ̌2	PART
ejpam-5527	397	10	)	)	PUNCT
ejpam-5527	397	11	∧	∧	PROPN
ejpam-5527	397	12	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	397	13	)	)	PUNCT
ejpam-5527	397	14	∧	∧	NOUN
ejpam-5527	397	15	(	(	PUNCT
ejpam-5527	397	16	−φ	−φ	NOUN
ejpam-5527	397	17	2	2	NUM
ejpam-5527	398	1	+	+	CCONJ
ejpam-5527	398	2	φ⋇	φ⋇	PROPN
ejpam-5527	398	3	2	2	NUM
ejpam-5527	398	4	)	)	PUNCT
ejpam-5527	398	5	,	,	PUNCT
ejpam-5527	398	6	for	for	ADP
ejpam-5527	398	7	some	some	DET
ejpam-5527	398	8	š	š	NUM
ejpam-5527	398	9	∈	∈	NOUN
ejpam-5527	398	10	(	(	PUNCT
ejpam-5527	398	11	−1	−1	NOUN
ejpam-5527	398	12	,	,	PUNCT
ejpam-5527	398	13	0	0	NUM
ejpam-5527	398	14	)	)	PUNCT
ejpam-5527	398	15	,	,	PUNCT
ejpam-5527	398	16	ǔ	ǔ	PROPN
ejpam-5527	398	17	∈	∈	PROPN
ejpam-5527	398	18	(	(	PUNCT
ejpam-5527	398	19	0	0	NUM
ejpam-5527	398	20	,	,	PUNCT
ejpam-5527	398	21	v̌	v̌	NOUN
ejpam-5527	398	22	)	)	PUNCT
ejpam-5527	398	23	.	.	PUNCT
ejpam-5527	399	1	then	then	ADV
ejpam-5527	399	2	(	(	PUNCT
ejpam-5527	399	3	ϱ̌0	ϱ̌0	NUM
ejpam-5527	399	4	≬	≬	PROPN
ejpam-5527	399	5	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	399	6	)	)	PUNCT
ejpam-5527	399	7	≬	≬	PROPN
ejpam-5527	399	8	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	399	9	,	,	PUNCT
ejpam-5527	399	10	ϱ̌2	ϱ̌2	VERB
ejpam-5527	399	11	∈	∈	NOUN
ejpam-5527	399	12	u(ζ̄	u(ζ̄	X
ejpam-5527	399	13	;	;	PUNCT
ejpam-5527	399	14	š	š	NOUN
ejpam-5527	399	15	,	,	PUNCT
ejpam-5527	399	16	ǔ	ǔ	PRON
ejpam-5527	399	17	)	)	PUNCT
ejpam-5527	399	18	⊆	⊆	NUM
ejpam-5527	399	19	[	[	X
ejpam-5527	399	20	ζ̄](š,ǔ	ζ̄](š,ǔ	NOUN
ejpam-5527	399	21	)	)	PUNCT
ejpam-5527	399	22	,	,	PUNCT
ejpam-5527	399	23	which	which	PRON
ejpam-5527	399	24	indicate	indicate	VERB
ejpam-5527	399	25	ϱ̌0	ϱ̌0	ADJ
ejpam-5527	399	26	≬	≬	PROPN
ejpam-5527	399	27	(	(	PUNCT
ejpam-5527	399	28	ϱ̌1	ϱ̌1	NUM
ejpam-5527	399	29	≬	≬	PROPN
ejpam-5527	399	30	(	(	PUNCT
ejpam-5527	399	31	ϱ̌1	ϱ̌1	X
ejpam-5527	399	32	≬	≬	PROPN
ejpam-5527	399	33	ϱ̌0	ϱ̌0	NUM
ejpam-5527	399	34	)	)	PUNCT
ejpam-5527	399	35	)	)	PUNCT
ejpam-5527	400	1	∈	∈	PROPN
ejpam-5527	401	1	[	[	X
ejpam-5527	401	2	ζ̄](š,ǔ	ζ̄](š,ǔ	NOUN
ejpam-5527	401	3	)	)	PUNCT
ejpam-5527	401	4	.	.	PUNCT
ejpam-5527	402	1	thus	thus	ADV
ejpam-5527	402	2	,	,	PUNCT
ejpam-5527	402	3	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	402	4	≬	≬	PROPN
ejpam-5527	402	5	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	402	6	)	)	PUNCT
ejpam-5527	402	7	≬	≬	PROPN
ejpam-5527	402	8	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	402	9	)	)	PUNCT
ejpam-5527	402	10	≤	≤	NUM
ejpam-5527	402	11	š	š	NOUN
ejpam-5527	402	12	or	or	CCONJ
ejpam-5527	402	13	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	402	14	≬	≬	PROPN
ejpam-5527	402	15	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	402	16	)	)	PUNCT
ejpam-5527	402	17	≬	≬	PROPN
ejpam-5527	402	18	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	402	19	)	)	PUNCT
ejpam-5527	402	20	+	+	CCONJ
ejpam-5527	402	21	š	š	X
ejpam-5527	402	22	<	<	X
ejpam-5527	402	23	φ	φ	PROPN
ejpam-5527	402	24	−	−	PROPN
ejpam-5527	402	25	φ⋇	φ⋇	PROPN
ejpam-5527	402	26	,	,	PUNCT
ejpam-5527	402	27	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	402	28	)	)	PUNCT
ejpam-5527	402	29	≤	≤	NOUN
ejpam-5527	402	30	š	š	NOUN
ejpam-5527	402	31	or	or	CCONJ
ejpam-5527	402	32	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	402	33	)	)	PUNCT
ejpam-5527	402	34	+	+	CCONJ
ejpam-5527	402	35	š	š	X
ejpam-5527	402	36	<	<	X
ejpam-5527	402	37	φ	φ	PROPN
ejpam-5527	402	38	−	−	PROPN
ejpam-5527	402	39	φ⋇	φ⋇	PROPN
ejpam-5527	402	40	and	and	CCONJ
ejpam-5527	402	41	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	402	42	≬	≬	PROPN
ejpam-5527	402	43	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	402	44	)	)	PUNCT
ejpam-5527	402	45	≬	≬	PROPN
ejpam-5527	402	46	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	402	47	)	)	PUNCT
ejpam-5527	402	48	≥	≥	NOUN
ejpam-5527	402	49	ǔ	ǔ	SYM
ejpam-5527	402	50	or	or	CCONJ
ejpam-5527	402	51	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	402	52	≬	≬	PROPN
ejpam-5527	402	53	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	402	54	)	)	PUNCT
ejpam-5527	402	55	≬	≬	PROPN
ejpam-5527	402	56	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	402	57	)	)	PUNCT
ejpam-5527	403	1	+	+	CCONJ
ejpam-5527	403	2	ǔ	ǔ	SYM
ejpam-5527	403	3	>	>	X
ejpam-5527	403	4	−φ+	−φ+	PROPN
ejpam-5527	403	5	φ⋇	φ⋇	PROPN
ejpam-5527	403	6	,	,	PUNCT
ejpam-5527	403	7	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	403	8	)	)	PUNCT
ejpam-5527	403	9	≥	≥	NOUN
ejpam-5527	403	10	ǔ	ǔ	NOUN
ejpam-5527	403	11	or	or	CCONJ
ejpam-5527	403	12	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	403	13	)	)	PUNCT
ejpam-5527	403	14	+	+	NUM
ejpam-5527	403	15	ǔ	ǔ	SYM
ejpam-5527	403	16	>	>	X
ejpam-5527	403	17	−φ+	−φ+	PROPN
ejpam-5527	403	18	φ⋇	φ⋇	PROPN
ejpam-5527	403	19	,	,	PUNCT
ejpam-5527	403	20	and	and	CCONJ
ejpam-5527	403	21	these	these	PRON
ejpam-5527	403	22	are	be	AUX
ejpam-5527	403	23	a	a	DET
ejpam-5527	403	24	contradiction	contradiction	NOUN
ejpam-5527	403	25	.	.	PUNCT
ejpam-5527	404	1	hence	hence	ADV
ejpam-5527	404	2	,	,	PUNCT
ejpam-5527	404	3	ζ̄−(ϱ̌0	ζ̄−(ϱ̌0	PROPN
ejpam-5527	404	4	≬	≬	PROPN
ejpam-5527	404	5	(	(	PUNCT
ejpam-5527	404	6	ϱ̌1	ϱ̌1	NUM
ejpam-5527	404	7	≬	≬	PROPN
ejpam-5527	404	8	(	(	PUNCT
ejpam-5527	404	9	ϱ̌1	ϱ̌1	X
ejpam-5527	404	10	≬	≬	PROPN
ejpam-5527	404	11	ϱ̌0	ϱ̌0	NUM
ejpam-5527	404	12	)	)	PUNCT
ejpam-5527	404	13	)	)	PUNCT
ejpam-5527	404	14	)	)	PUNCT
ejpam-5527	404	15	≤	≤	NOUN
ejpam-5527	404	16	ζ̄−((ϱ̌0	ζ̄−((ϱ̌0	VERB
ejpam-5527	404	17	≬	≬	PROPN
ejpam-5527	404	18	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	404	19	)	)	PUNCT
ejpam-5527	404	20	≬	≬	PROPN
ejpam-5527	404	21	ϱ̌2	ϱ̌2	NOUN
ejpam-5527	404	22	)	)	PUNCT
ejpam-5527	404	23	∨	∨	NUM
ejpam-5527	404	24	ζ̄−(ϱ̌2	ζ̄−(ϱ̌2	NOUN
ejpam-5527	404	25	)	)	PUNCT
ejpam-5527	404	26	∨	∨	NUM
ejpam-5527	404	27	(	(	PUNCT
ejpam-5527	404	28	φ	φ	PROPN
ejpam-5527	404	29	2	2	NUM
ejpam-5527	404	30	−	−	PROPN
ejpam-5527	404	31	φ⋇	φ⋇	PROPN
ejpam-5527	404	32	2	2	NUM
ejpam-5527	404	33	)	)	PUNCT
ejpam-5527	404	34	and	and	CCONJ
ejpam-5527	404	35	ζ̄+(ϱ̌0	ζ̄+(ϱ̌0	VERB
ejpam-5527	404	36	≬	≬	PROPN
ejpam-5527	404	37	(	(	PUNCT
ejpam-5527	404	38	ϱ̌1	ϱ̌1	NUM
ejpam-5527	404	39	≬	≬	PROPN
ejpam-5527	404	40	(	(	PUNCT
ejpam-5527	404	41	ϱ̌1	ϱ̌1	X
ejpam-5527	404	42	≬	≬	PROPN
ejpam-5527	404	43	ϱ̌0	ϱ̌0	NUM
ejpam-5527	404	44	)	)	PUNCT
ejpam-5527	404	45	)	)	PUNCT
ejpam-5527	404	46	)	)	PUNCT
ejpam-5527	404	47	≥	≥	X
ejpam-5527	405	1	ζ̄+((ϱ̌0	ζ̄+((ϱ̌0	PROPN
ejpam-5527	405	2	≬	≬	PROPN
ejpam-5527	405	3	ϱ̌1	ϱ̌1	NOUN
ejpam-5527	405	4	)	)	PUNCT
ejpam-5527	405	5	≬	≬	PROPN
ejpam-5527	405	6	ϱ̌2	ϱ̌2	PART
ejpam-5527	405	7	)	)	PUNCT
ejpam-5527	405	8	∧	∧	PROPN
ejpam-5527	405	9	ζ̄+(ϱ̌2	ζ̄+(ϱ̌2	NOUN
ejpam-5527	405	10	)	)	PUNCT
ejpam-5527	405	11	∧	∧	NOUN
ejpam-5527	405	12	(	(	PUNCT
ejpam-5527	405	13	−φ	−φ	NOUN
ejpam-5527	405	14	2	2	NUM
ejpam-5527	405	15	+	+	CCONJ
ejpam-5527	405	16	φ⋇	φ⋇	PROPN
ejpam-5527	405	17	2	2	NUM
ejpam-5527	405	18	)	)	PUNCT
ejpam-5527	405	19	,	,	PUNCT
ejpam-5527	405	20	for	for	ADP
ejpam-5527	405	21	all	all	DET
ejpam-5527	405	22	ϱ̌0	ϱ̌0	NOUN
ejpam-5527	405	23	,	,	PUNCT
ejpam-5527	405	24	ϱ̌1	ϱ̌1	NUM
ejpam-5527	405	25	,	,	PUNCT
ejpam-5527	405	26	ϱ̌2	ϱ̌2	VERB
ejpam-5527	405	27	∈	∈	NOUN
ejpam-5527	405	28	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	405	29	now	now	ADV
ejpam-5527	405	30	,	,	PUNCT
ejpam-5527	405	31	by	by	ADP
ejpam-5527	405	32	using	use	VERB
ejpam-5527	405	33	the	the	DET
ejpam-5527	405	34	theorem	theorem	NOUN
ejpam-5527	405	35	1	1	NUM
ejpam-5527	405	36	,	,	PUNCT
ejpam-5527	405	37	we	we	PRON
ejpam-5527	405	38	conclude	conclude	VERB
ejpam-5527	405	39	that	that	SCONJ
ejpam-5527	405	40	ζ̄	ζ̄	ADV
ejpam-5527	405	41	is	be	AUX
ejpam-5527	405	42	an	an	DET
ejpam-5527	405	43	(	(	PUNCT
ejpam-5527	405	44	∈,∈	∈,∈	X
ejpam-5527	405	45	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	405	46	,	,	PUNCT
ejpam-5527	405	47	q̌φ))-bffi	q̌φ))-bffi	PROPN
ejpam-5527	405	48	of	of	ADP
ejpam-5527	405	49	ℵ̌.	ℵ̌.	NOUN
ejpam-5527	405	50	5	5	NUM
ejpam-5527	405	51	.	.	PUNCT
ejpam-5527	405	52	conclusion	conclusion	NOUN
ejpam-5527	405	53	the	the	DET
ejpam-5527	405	54	concept	concept	NOUN
ejpam-5527	405	55	of	of	ADP
ejpam-5527	405	56	an	an	DET
ejpam-5527	405	57	(	(	PUNCT
ejpam-5527	405	58	∈,∈	∈,∈	X
ejpam-5527	405	59	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	405	60	,	,	PUNCT
ejpam-5527	405	61	q̌φ))-bipolar	q̌φ))-bipolar	ADJ
ejpam-5527	405	62	fuzzy	fuzzy	ADJ
ejpam-5527	405	63	set	set	NOUN
ejpam-5527	405	64	combines	combine	VERB
ejpam-5527	405	65	elements	element	NOUN
ejpam-5527	405	66	from	from	ADP
ejpam-5527	405	67	fuzzy	fuzzy	ADJ
ejpam-5527	405	68	sets	set	NOUN
ejpam-5527	405	69	and	and	CCONJ
ejpam-5527	405	70	bipolar	bipolar	ADJ
ejpam-5527	405	71	fuzzy	fuzzy	ADJ
ejpam-5527	405	72	sets	set	NOUN
ejpam-5527	405	73	.	.	PUNCT
ejpam-5527	406	1	in	in	ADP
ejpam-5527	406	2	this	this	DET
ejpam-5527	406	3	paper	paper	NOUN
ejpam-5527	406	4	,	,	PUNCT
ejpam-5527	406	5	we	we	PRON
ejpam-5527	406	6	investigated	investigate	VERB
ejpam-5527	406	7	(	(	PUNCT
ejpam-5527	406	8	∈,∈	∈,∈	X
ejpam-5527	406	9	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	406	10	,	,	PUNCT
ejpam-5527	406	11	q̌φ))-bipolar	q̌φ))-bipolar	ADJ
ejpam-5527	406	12	fuzzy	fuzzy	ADJ
ejpam-5527	406	13	ideals	ideal	NOUN
ejpam-5527	406	14	and	and	CCONJ
ejpam-5527	406	15	(	(	PUNCT
ejpam-5527	406	16	∈,∈	∈,∈	X
ejpam-5527	406	17	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	406	18	,	,	PUNCT
ejpam-5527	406	19	q̌φ))-bipolar	q̌φ))-bipolar	ADJ
ejpam-5527	406	20	fuzzy	fuzzy	ADJ
ejpam-5527	406	21	fantastic	fantastic	ADJ
ejpam-5527	406	22	ideals	ideal	NOUN
ejpam-5527	406	23	and	and	CCONJ
ejpam-5527	406	24	discussed	discuss	VERB
ejpam-5527	406	25	their	their	PRON
ejpam-5527	406	26	essential	essential	ADJ
ejpam-5527	406	27	properties	property	NOUN
ejpam-5527	406	28	.	.	PUNCT
ejpam-5527	407	1	we	we	PRON
ejpam-5527	407	2	examined	examine	VERB
ejpam-5527	407	3	the	the	DET
ejpam-5527	407	4	connection	connection	NOUN
ejpam-5527	407	5	between	between	ADP
ejpam-5527	407	6	(	(	PUNCT
ejpam-5527	407	7	∈,∈	∈,∈	X
ejpam-5527	407	8	∨(φ⋇	∨(φ⋇	PROPN
ejpam-5527	407	9	,	,	PUNCT
ejpam-5527	407	10	q̌φ))-bipolar	q̌φ))-bipolar	ADJ
ejpam-5527	407	11	fuzzy	fuzzy	ADJ
ejpam-5527	407	12	fantastic	fantastic	ADJ
ejpam-5527	407	13	ideals	ideal	NOUN
ejpam-5527	407	14	and	and	CCONJ
ejpam-5527	407	15	fuzzy	fuzzy	ADJ
ejpam-5527	407	16	fantastic	fantastic	ADJ
ejpam-5527	407	17	ideals	ideal	NOUN
ejpam-5527	407	18	.	.	PUNCT
ejpam-5527	408	1	in	in	ADP
ejpam-5527	408	2	our	our	PRON
ejpam-5527	408	3	future	future	ADJ
ejpam-5527	408	4	study	study	NOUN
ejpam-5527	408	5	of	of	ADP
ejpam-5527	408	6	the	the	DET
ejpam-5527	408	7	bipolar	bipolar	ADJ
ejpam-5527	408	8	fuzzy	fuzzy	ADJ
ejpam-5527	408	9	structure	structure	NOUN
ejpam-5527	408	10	,	,	PUNCT
ejpam-5527	408	11	we	we	PRON
ejpam-5527	408	12	may	may	AUX
ejpam-5527	408	13	consider	consider	VERB
ejpam-5527	408	14	the	the	DET
ejpam-5527	408	15	following	follow	VERB
ejpam-5527	408	16	topics	topic	NOUN
ejpam-5527	408	17	:	:	PUNCT
ejpam-5527	408	18	(	(	PUNCT
ejpam-5527	408	19	i	i	NOUN
ejpam-5527	408	20	)	)	PUNCT
ejpam-5527	408	21	bipolar	bipolar	ADJ
ejpam-5527	408	22	complex	complex	ADJ
ejpam-5527	408	23	fuzzy	fuzzy	ADJ
ejpam-5527	408	24	q	q	NOUN
ejpam-5527	408	25	-	-	PUNCT
ejpam-5527	408	26	ideals	ideal	NOUN
ejpam-5527	408	27	in	in	ADP
ejpam-5527	408	28	bck	bck	PROPN
ejpam-5527	408	29	/	/	SYM
ejpam-5527	408	30	bci	bci	NOUN
ejpam-5527	408	31	-	-	NOUN
ejpam-5527	408	32	algebra	algebra	NOUN
ejpam-5527	408	33	;	;	PUNCT
ejpam-5527	408	34	(	(	PUNCT
ejpam-5527	408	35	ii	ii	NOUN
ejpam-5527	408	36	)	)	PUNCT
ejpam-5527	408	37	bipolar	bipolar	ADJ
ejpam-5527	408	38	complex	complex	ADJ
ejpam-5527	408	39	intuitionistic	intuitionistic	ADJ
ejpam-5527	408	40	fuzzy	fuzzy	ADJ
ejpam-5527	408	41	commutative	commutative	ADJ
ejpam-5527	408	42	ideals	ideal	NOUN
ejpam-5527	408	43	in	in	ADP
ejpam-5527	408	44	bg	bg	PROPN
ejpam-5527	408	45	-	-	PUNCT
ejpam-5527	408	46	algebras	algebras	PROPN
ejpam-5527	408	47	,	,	PUNCT
ejpam-5527	408	48	be	be	AUX
ejpam-5527	408	49	-	-	PUNCT
ejpam-5527	408	50	algebras	algebras	X
ejpam-5527	408	51	;	;	PUNCT
ejpam-5527	408	52	and	and	CCONJ
ejpam-5527	408	53	(	(	PUNCT
ejpam-5527	408	54	iii	iii	X
ejpam-5527	408	55	)	)	PUNCT
ejpam-5527	408	56	complex	complex	ADJ
ejpam-5527	408	57	picture	picture	NOUN
ejpam-5527	408	58	fuzzy	fuzzy	ADJ
ejpam-5527	408	59	ideals	ideal	NOUN
ejpam-5527	408	60	in	in	ADP
ejpam-5527	408	61	bcc	bcc	PROPN
ejpam-5527	408	62	-	-	PUNCT
ejpam-5527	408	63	algebras	algebras	PROPN
ejpam-5527	408	64	,	,	PUNCT
ejpam-5527	408	65	ju	ju	NOUN
ejpam-5527	408	66	-	-	PUNCT
ejpam-5527	408	67	algebras	algebras	PROPN
ejpam-5527	408	68	etc	etc	X
ejpam-5527	408	69	.	.	X
ejpam-5527	408	70	acknowledgements	acknowledgement	VERB
ejpam-5527	408	71	the	the	DET
ejpam-5527	408	72	authors	author	NOUN
ejpam-5527	408	73	gratefully	gratefully	ADV
ejpam-5527	408	74	acknowledge	acknowledge	VERB
ejpam-5527	408	75	the	the	DET
ejpam-5527	408	76	funding	funding	NOUN
ejpam-5527	408	77	of	of	ADP
ejpam-5527	408	78	the	the	DET
ejpam-5527	408	79	deanship	deanship	NOUN
ejpam-5527	408	80	of	of	ADP
ejpam-5527	408	81	graduate	graduate	NOUN
ejpam-5527	408	82	studies	study	NOUN
ejpam-5527	408	83	and	and	CCONJ
ejpam-5527	408	84	scientific	scientific	ADJ
ejpam-5527	408	85	research	research	NOUN
ejpam-5527	408	86	,	,	PUNCT
ejpam-5527	408	87	jazan	jazan	PROPN
ejpam-5527	408	88	university	university	PROPN
ejpam-5527	408	89	,	,	PUNCT
ejpam-5527	408	90	saudi	saudi	PROPN
ejpam-5527	408	91	arabia	arabia	PROPN
ejpam-5527	408	92	,	,	PUNCT
ejpam-5527	408	93	through	through	ADP
ejpam-5527	408	94	project	project	NOUN
ejpam-5527	408	95	number	number	NOUN
ejpam-5527	408	96	:	:	PUNCT
ejpam-5527	408	97	gssrd-24	gssrd-24	PROPN
ejpam-5527	408	98	.	.	PUNCT
ejpam-5527	409	1	references	reference	NOUN
ejpam-5527	409	2	[	[	X
ejpam-5527	409	3	1	1	NUM
ejpam-5527	409	4	]	]	X
ejpam-5527	409	5	e.a	e.a	PROPN
ejpam-5527	409	6	.	.	PROPN
ejpam-5527	409	7	abuhijileh	abuhijileh	PROPN
ejpam-5527	409	8	,	,	PUNCT
ejpam-5527	409	9	m.	m.	NOUN
ejpam-5527	409	10	massa’deh	massa’deh	PROPN
ejpam-5527	409	11	,	,	PUNCT
ejpam-5527	409	12	a.	a.	NOUN
ejpam-5527	409	13	sheimat	sheimat	NOUN
ejpam-5527	409	14	,	,	PUNCT
ejpam-5527	409	15	and	and	CCONJ
ejpam-5527	409	16	a.	a.	PROPN
ejpam-5527	409	17	alkouri	alkouri	PROPN
ejpam-5527	409	18	.	.	PUNCT
ejpam-5527	410	1	complex	complex	ADJ
ejpam-5527	410	2	fuzzy	fuzzy	ADJ
ejpam-5527	410	3	groups	group	NOUN
ejpam-5527	410	4	based	base	VERB
ejpam-5527	410	5	on	on	ADP
ejpam-5527	410	6	rosenfeld	rosenfeld	PROPN
ejpam-5527	410	7	’s	’s	PART
ejpam-5527	410	8	approach	approach	NOUN
ejpam-5527	410	9	.	.	PUNCT
ejpam-5527	411	1	wseas	wseas	PROPN
ejpam-5527	411	2	trans	trans	PROPN
ejpam-5527	411	3	.	.	PROPN
ejpam-5527	411	4	math	math	PROPN
ejpam-5527	411	5	.	.	PUNCT
ejpam-5527	412	1	,	,	PUNCT
ejpam-5527	413	1	20:368–377	20:368–377	NUM
ejpam-5527	413	2	,	,	PUNCT
ejpam-5527	413	3	2021	2021	NUM
ejpam-5527	413	4	.	.	PUNCT
ejpam-5527	414	1	[	[	X
ejpam-5527	414	2	2	2	NUM
ejpam-5527	414	3	]	]	PUNCT
ejpam-5527	414	4	m.	m.	NOUN
ejpam-5527	414	5	akram	akram	PROPN
ejpam-5527	414	6	and	and	CCONJ
ejpam-5527	414	7	a.	a.	PROPN
ejpam-5527	414	8	farooq	farooq	PROPN
ejpam-5527	414	9	.	.	PUNCT
ejpam-5527	415	1	m	m	PROPN
ejpam-5527	415	2	-	-	ADJ
ejpam-5527	415	3	polar	polar	ADJ
ejpam-5527	415	4	fuzzy	fuzzy	ADJ
ejpam-5527	415	5	lie	lie	NOUN
ejpam-5527	415	6	ideals	ideal	NOUN
ejpam-5527	415	7	of	of	ADP
ejpam-5527	415	8	lie	lie	NOUN
ejpam-5527	415	9	algebras	algebra	NOUN
ejpam-5527	415	10	.	.	PUNCT
ejpam-5527	416	1	quasigroups	quasigroups	PROPN
ejpam-5527	416	2	related	related	ADJ
ejpam-5527	416	3	systems	system	NOUN
ejpam-5527	416	4	,	,	PUNCT
ejpam-5527	416	5	24(2):141–150	24(2):141–150	NUM
ejpam-5527	416	6	,	,	PUNCT
ejpam-5527	416	7	2016	2016	NUM
ejpam-5527	416	8	.	.	PUNCT
ejpam-5527	417	1	references	reference	NOUN
ejpam-5527	417	2	3991	3991	NUM
ejpam-5527	417	3	[	[	X
ejpam-5527	417	4	3	3	NUM
ejpam-5527	417	5	]	]	PUNCT
ejpam-5527	417	6	m.	m.	NOUN
ejpam-5527	417	7	akram	akram	PROPN
ejpam-5527	417	8	,	,	PUNCT
ejpam-5527	417	9	a.	a.	NOUN
ejpam-5527	417	10	farooq	farooq	PROPN
ejpam-5527	417	11	,	,	PUNCT
ejpam-5527	417	12	and	and	CCONJ
ejpam-5527	417	13	k.p	k.p	PROPN
ejpam-5527	417	14	.	.	PROPN
ejpam-5527	417	15	shum	shum	PROPN
ejpam-5527	417	16	.	.	PUNCT
ejpam-5527	418	1	on	on	ADP
ejpam-5527	418	2	m	m	ADJ
ejpam-5527	418	3	-	-	ADJ
ejpam-5527	418	4	polar	polar	ADJ
ejpam-5527	418	5	fuzzy	fuzzy	ADJ
ejpam-5527	418	6	lie	lie	NOUN
ejpam-5527	418	7	subalgebras	subalgebras	PROPN
ejpam-5527	418	8	.	.	PUNCT
ejpam-5527	419	1	ital	ital	PROPN
ejpam-5527	419	2	.	.	PUNCT
ejpam-5527	420	1	j.	j.	PROPN
ejpam-5527	420	2	pure	pure	PROPN
ejpam-5527	420	3	appl	appl	PROPN
ejpam-5527	420	4	.	.	PUNCT
ejpam-5527	420	5	math	math	PROPN
ejpam-5527	420	6	.	.	PUNCT
ejpam-5527	420	7	,	,	PUNCT
ejpam-5527	420	8	36:445–454	36:445–454	PROPN
ejpam-5527	420	9	,	,	PUNCT
ejpam-5527	420	10	2016	2016	NUM
ejpam-5527	420	11	.	.	PUNCT
ejpam-5527	421	1	[	[	X
ejpam-5527	421	2	4	4	X
ejpam-5527	421	3	]	]	X
ejpam-5527	421	4	d.	d.	PROPN
ejpam-5527	421	5	al	al	PROPN
ejpam-5527	421	6	-	-	PUNCT
ejpam-5527	421	7	kadi	kadi	PROPN
ejpam-5527	421	8	and	and	CCONJ
ejpam-5527	421	9	g.	g.	PROPN
ejpam-5527	421	10	muhiuddin	muhiuddin	PROPN
ejpam-5527	421	11	.	.	PUNCT
ejpam-5527	422	1	bipolar	bipolar	ADJ
ejpam-5527	422	2	fuzzy	fuzzy	ADJ
ejpam-5527	422	3	bci	bci	ADJ
ejpam-5527	422	4	-	-	ADJ
ejpam-5527	422	5	implicative	implicative	ADJ
ejpam-5527	422	6	ideals	ideal	NOUN
ejpam-5527	422	7	of	of	ADP
ejpam-5527	422	8	bci	bci	NOUN
ejpam-5527	422	9	-	-	PUNCT
ejpam-5527	422	10	algebras	algebras	PROPN
ejpam-5527	422	11	.	.	PUNCT
ejpam-5527	423	1	ann	ann	AUX
ejpam-5527	423	2	.	.	PUNCT
ejpam-5527	423	3	commun	commun	PROPN
ejpam-5527	423	4	.	.	PUNCT
ejpam-5527	424	1	math	math	PROPN
ejpam-5527	424	2	,	,	PUNCT
ejpam-5527	424	3	1(3):88–96	1(3):88–96	NUM
ejpam-5527	424	4	,	,	PUNCT
ejpam-5527	424	5	2020	2020	NUM
ejpam-5527	424	6	.	.	PUNCT
ejpam-5527	425	1	[	[	X
ejpam-5527	425	2	5	5	NUM
ejpam-5527	425	3	]	]	PUNCT
ejpam-5527	425	4	a.	a.	PROPN
ejpam-5527	425	5	al	al	PROPN
ejpam-5527	425	6	-	-	PROPN
ejpam-5527	425	7	masarwah	masarwah	PROPN
ejpam-5527	425	8	and	and	CCONJ
ejpam-5527	425	9	a.	a.	NOUN
ejpam-5527	425	10	g.	g.	PROPN
ejpam-5527	425	11	ahmad	ahmad	PROPN
ejpam-5527	425	12	.	.	PUNCT
ejpam-5527	426	1	doubt	doubt	VERB
ejpam-5527	426	2	bipolar	bipolar	ADJ
ejpam-5527	426	3	fuzzy	fuzzy	ADJ
ejpam-5527	426	4	subalgebras	subalgebra	NOUN
ejpam-5527	426	5	and	and	CCONJ
ejpam-5527	426	6	ideals	ideal	NOUN
ejpam-5527	426	7	in	in	ADP
ejpam-5527	426	8	bck	bck	PROPN
ejpam-5527	426	9	/	/	SYM
ejpam-5527	426	10	bci	bci	NOUN
ejpam-5527	426	11	-	-	PUNCT
ejpam-5527	426	12	algebras	algebras	X
ejpam-5527	426	13	.	.	PUNCT
ejpam-5527	427	1	j.	j.	PROPN
ejpam-5527	427	2	math	math	PROPN
ejpam-5527	427	3	.	.	PUNCT
ejpam-5527	428	1	anal	anal	PROPN
ejpam-5527	428	2	.	.	PUNCT
ejpam-5527	428	3	,	,	PUNCT
ejpam-5527	428	4	9(3):9–27	9(3):9–27	NUM
ejpam-5527	428	5	,	,	PUNCT
ejpam-5527	428	6	2018	2018	NUM
ejpam-5527	428	7	.	.	PUNCT
ejpam-5527	429	1	[	[	X
ejpam-5527	429	2	6	6	NUM
ejpam-5527	429	3	]	]	PUNCT
ejpam-5527	429	4	a.	a.	PROPN
ejpam-5527	429	5	al	al	PROPN
ejpam-5527	429	6	-	-	PROPN
ejpam-5527	429	7	masarwah	masarwah	PROPN
ejpam-5527	429	8	and	and	CCONJ
ejpam-5527	429	9	a.	a.	NOUN
ejpam-5527	429	10	g.	g.	PROPN
ejpam-5527	429	11	ahmad	ahmad	PROPN
ejpam-5527	429	12	.	.	PUNCT
ejpam-5527	430	1	novel	novel	ADJ
ejpam-5527	430	2	concepts	concept	NOUN
ejpam-5527	430	3	of	of	ADP
ejpam-5527	430	4	doubt	doubt	ADV
ejpam-5527	430	5	bipolar	bipolar	ADJ
ejpam-5527	430	6	fuzzy	fuzzy	ADJ
ejpam-5527	430	7	h	h	NOUN
ejpam-5527	430	8	-	-	PUNCT
ejpam-5527	430	9	ideals	ideal	NOUN
ejpam-5527	430	10	of	of	ADP
ejpam-5527	430	11	bck	bck	PROPN
ejpam-5527	430	12	/	/	SYM
ejpam-5527	430	13	bci	bci	NOUN
ejpam-5527	430	14	-	-	PUNCT
ejpam-5527	430	15	algebras	algebra	NOUN
ejpam-5527	430	16	.	.	PUNCT
ejpam-5527	431	1	international	international	ADJ
ejpam-5527	431	2	journal	journal	NOUN
ejpam-5527	431	3	of	of	ADP
ejpam-5527	431	4	innovative	innovative	ADJ
ejpam-5527	431	5	computing	computing	NOUN
ejpam-5527	431	6	,	,	PUNCT
ejpam-5527	431	7	information	information	NOUN
ejpam-5527	431	8	and	and	CCONJ
ejpam-5527	431	9	control	control	NOUN
ejpam-5527	431	10	,	,	PUNCT
ejpam-5527	431	11	14(06):2025–2041	14(06):2025–2041	NUM
ejpam-5527	431	12	,	,	PUNCT
ejpam-5527	431	13	2018	2018	NUM
ejpam-5527	431	14	.	.	PUNCT
ejpam-5527	432	1	[	[	X
ejpam-5527	432	2	7	7	X
ejpam-5527	432	3	]	]	PUNCT
ejpam-5527	432	4	a.	a.	PROPN
ejpam-5527	432	5	al	al	PROPN
ejpam-5527	432	6	-	-	PROPN
ejpam-5527	432	7	masarwah	masarwah	PROPN
ejpam-5527	432	8	and	and	CCONJ
ejpam-5527	432	9	a.	a.	NOUN
ejpam-5527	432	10	g.	g.	PROPN
ejpam-5527	432	11	ahmad	ahmad	PROPN
ejpam-5527	432	12	.	.	PUNCT
ejpam-5527	433	1	subalgebras	subalgebras	PROPN
ejpam-5527	433	2	of	of	ADP
ejpam-5527	433	3	type	type	NOUN
ejpam-5527	433	4	(	(	PUNCT
ejpam-5527	433	5	α	α	NOUN
ejpam-5527	433	6	,	,	PUNCT
ejpam-5527	433	7	β	β	NOUN
ejpam-5527	433	8	)	)	PUNCT
ejpam-5527	433	9	based	base	VERB
ejpam-5527	433	10	on	on	ADP
ejpam-5527	433	11	m	m	ADJ
ejpam-5527	433	12	-	-	ADJ
ejpam-5527	433	13	polar	polar	ADJ
ejpam-5527	433	14	fuzzy	fuzzy	ADJ
ejpam-5527	433	15	points	point	NOUN
ejpam-5527	433	16	in	in	ADP
ejpam-5527	433	17	bck	bck	PROPN
ejpam-5527	433	18	/	/	SYM
ejpam-5527	433	19	bci	bci	NOUN
ejpam-5527	433	20	-	-	PUNCT
ejpam-5527	433	21	algebras	algebra	NOUN
ejpam-5527	433	22	.	.	PUNCT
ejpam-5527	434	1	aims	aim	VERB
ejpam-5527	434	2	mathematics	mathematic	NOUN
ejpam-5527	434	3	,	,	PUNCT
ejpam-5527	434	4	5(2):1035–1050	5(2):1035–1050	PROPN
ejpam-5527	434	5	,	,	PUNCT
ejpam-5527	434	6	2020	2020	NUM
ejpam-5527	434	7	.	.	PUNCT
ejpam-5527	435	1	[	[	X
ejpam-5527	435	2	8	8	NUM
ejpam-5527	435	3	]	]	PUNCT
ejpam-5527	435	4	a.	a.	PROPN
ejpam-5527	435	5	al	al	PROPN
ejpam-5527	435	6	-	-	PROPN
ejpam-5527	435	7	masarwah	masarwah	PROPN
ejpam-5527	435	8	and	and	CCONJ
ejpam-5527	435	9	a.	a.	NOUN
ejpam-5527	435	10	g.	g.	PROPN
ejpam-5527	435	11	ahmad	ahmad	PROPN
ejpam-5527	435	12	.	.	PUNCT
ejpam-5527	436	1	a	a	DET
ejpam-5527	436	2	new	new	ADJ
ejpam-5527	436	3	interpretation	interpretation	NOUN
ejpam-5527	436	4	of	of	ADP
ejpam-5527	436	5	multi	multi	ADJ
ejpam-5527	436	6	-	-	ADJ
ejpam-5527	436	7	polarity	polarity	NOUN
ejpam-5527	436	8	fuzziness	fuzziness	NOUN
ejpam-5527	436	9	subalgebras	subalgebra	NOUN
ejpam-5527	436	10	of	of	ADP
ejpam-5527	436	11	bck	bck	PROPN
ejpam-5527	436	12	/	/	SYM
ejpam-5527	436	13	bci	bci	NOUN
ejpam-5527	436	14	-	-	PUNCT
ejpam-5527	436	15	algebras	algebras	X
ejpam-5527	436	16	.	.	PUNCT
ejpam-5527	436	17	fuzzy	fuzzy	ADJ
ejpam-5527	436	18	information	information	NOUN
ejpam-5527	436	19	and	and	CCONJ
ejpam-5527	436	20	engineering	engineering	NOUN
ejpam-5527	436	21	,	,	PUNCT
ejpam-5527	436	22	14(3):243–254	14(3):243–254	NUM
ejpam-5527	436	23	,	,	PUNCT
ejpam-5527	436	24	2022	2022	NUM
ejpam-5527	436	25	.	.	PUNCT
ejpam-5527	437	1	[	[	X
ejpam-5527	437	2	9	9	NUM
ejpam-5527	437	3	]	]	PUNCT
ejpam-5527	437	4	a.	a.	NOUN
ejpam-5527	437	5	al	al	PROPN
ejpam-5527	437	6	-	-	PROPN
ejpam-5527	437	7	masarwah	masarwah	PROPN
ejpam-5527	437	8	,	,	PUNCT
ejpam-5527	437	9	a.	a.	PROPN
ejpam-5527	437	10	g.	g.	PROPN
ejpam-5527	437	11	ahmad	ahmad	PROPN
ejpam-5527	437	12	,	,	PUNCT
ejpam-5527	437	13	g.	g.	PROPN
ejpam-5527	437	14	muhiuddin	muhiuddin	PROPN
ejpam-5527	437	15	,	,	PUNCT
ejpam-5527	437	16	and	and	CCONJ
ejpam-5527	437	17	d.	d.	PROPN
ejpam-5527	437	18	al	al	PROPN
ejpam-5527	437	19	-	-	PUNCT
ejpam-5527	437	20	kadi	kadi	PROPN
ejpam-5527	437	21	.	.	PUNCT
ejpam-5527	438	1	generalized	generalize	VERB
ejpam-5527	438	2	mpolar	mpolar	ADJ
ejpam-5527	438	3	fuzzy	fuzzy	ADJ
ejpam-5527	438	4	positive	positive	ADJ
ejpam-5527	438	5	implicative	implicative	ADJ
ejpam-5527	438	6	ideals	ideal	NOUN
ejpam-5527	438	7	of	of	ADP
ejpam-5527	438	8	bck	bck	NOUN
ejpam-5527	438	9	-	-	PUNCT
ejpam-5527	438	10	algebras	algebras	PROPN
ejpam-5527	438	11	.	.	PUNCT
ejpam-5527	439	1	journal	journal	PROPN
ejpam-5527	439	2	of	of	ADP
ejpam-5527	439	3	mathematics	mathematic	NOUN
ejpam-5527	439	4	,	,	PUNCT
ejpam-5527	439	5	2021(1):6610009	2021(1):6610009	NUM
ejpam-5527	439	6	,	,	PUNCT
ejpam-5527	439	7	2021	2021	NUM
ejpam-5527	439	8	.	.	PUNCT
ejpam-5527	440	1	[	[	X
ejpam-5527	440	2	10	10	NUM
ejpam-5527	440	3	]	]	PUNCT
ejpam-5527	440	4	a.	a.	PROPN
ejpam-5527	440	5	al	al	PROPN
ejpam-5527	440	6	-	-	PROPN
ejpam-5527	440	7	masarwah	masarwah	PROPN
ejpam-5527	440	8	and	and	CCONJ
ejpam-5527	440	9	a.g	a.g	PROPN
ejpam-5527	440	10	.	.	PROPN
ejpam-5527	440	11	ahmad	ahmad	PROPN
ejpam-5527	440	12	.	.	PUNCT
ejpam-5527	441	1	on	on	ADP
ejpam-5527	441	2	some	some	DET
ejpam-5527	441	3	properties	property	NOUN
ejpam-5527	441	4	of	of	ADP
ejpam-5527	441	5	doubt	doubt	NOUN
ejpam-5527	441	6	biplar	biplar	ADJ
ejpam-5527	441	7	fuzzy	fuzzy	ADJ
ejpam-5527	441	8	h	h	NOUN
ejpam-5527	441	9	-	-	PUNCT
ejpam-5527	441	10	ideals	ideal	NOUN
ejpam-5527	441	11	in	in	ADP
ejpam-5527	441	12	bck	bck	PROPN
ejpam-5527	441	13	/	/	SYM
ejpam-5527	441	14	bci	bci	NOUN
ejpam-5527	441	15	-	-	PUNCT
ejpam-5527	441	16	algebras	algebra	NOUN
ejpam-5527	441	17	.	.	PUNCT
ejpam-5527	441	18	eur	eur	PROPN
ejpam-5527	441	19	.	.	PUNCT
ejpam-5527	442	1	j.	j.	PROPN
ejpam-5527	442	2	pure	pure	PROPN
ejpam-5527	442	3	appl	appl	PROPN
ejpam-5527	442	4	.	.	PUNCT
ejpam-5527	442	5	math	math	PROPN
ejpam-5527	442	6	.	.	PUNCT
ejpam-5527	442	7	,	,	PUNCT
ejpam-5527	442	8	11(3):652–670	11(3):652–670	NUM
ejpam-5527	442	9	,	,	PUNCT
ejpam-5527	442	10	2018	2018	NUM
ejpam-5527	442	11	.	.	PUNCT
ejpam-5527	443	1	[	[	X
ejpam-5527	443	2	11	11	NUM
ejpam-5527	443	3	]	]	PUNCT
ejpam-5527	443	4	a.	a.	PROPN
ejpam-5527	443	5	al	al	PROPN
ejpam-5527	443	6	-	-	PROPN
ejpam-5527	443	7	masarwah	masarwah	PROPN
ejpam-5527	443	8	and	and	CCONJ
ejpam-5527	443	9	a.g	a.g	PROPN
ejpam-5527	443	10	.	.	PROPN
ejpam-5527	443	11	ahmad	ahmad	PROPN
ejpam-5527	443	12	.	.	PUNCT
ejpam-5527	444	1	m	m	PROPN
ejpam-5527	444	2	-	-	ADJ
ejpam-5527	444	3	polar	polar	ADJ
ejpam-5527	444	4	(	(	PUNCT
ejpam-5527	444	5	α	α	NOUN
ejpam-5527	444	6	,	,	PUNCT
ejpam-5527	444	7	β)-fuzzy	β)-fuzzy	PUNCT
ejpam-5527	444	8	ideals	ideal	NOUN
ejpam-5527	444	9	in	in	ADP
ejpam-5527	444	10	bck	bck	PROPN
ejpam-5527	444	11	/	/	SYM
ejpam-5527	444	12	bci	bci	NOUN
ejpam-5527	444	13	-	-	PUNCT
ejpam-5527	444	14	algebras	algebra	NOUN
ejpam-5527	444	15	.	.	PUNCT
ejpam-5527	444	16	symmetry	symmetry	PROPN
ejpam-5527	444	17	,	,	PUNCT
ejpam-5527	444	18	11(1):44	11(1):44	NUM
ejpam-5527	444	19	,	,	PUNCT
ejpam-5527	444	20	2019	2019	NUM
ejpam-5527	444	21	.	.	PUNCT
ejpam-5527	445	1	[	[	X
ejpam-5527	445	2	12	12	NUM
ejpam-5527	445	3	]	]	PUNCT
ejpam-5527	445	4	a.	a.	PROPN
ejpam-5527	445	5	al	al	PROPN
ejpam-5527	445	6	-	-	PROPN
ejpam-5527	445	7	masarwah	masarwah	PROPN
ejpam-5527	445	8	and	and	CCONJ
ejpam-5527	445	9	a.g	a.g	PROPN
ejpam-5527	445	10	.	.	PROPN
ejpam-5527	445	11	ahmad	ahmad	PROPN
ejpam-5527	445	12	.	.	PUNCT
ejpam-5527	446	1	m	m	ADJ
ejpam-5527	446	2	-	-	ADJ
ejpam-5527	446	3	polar	polar	ADJ
ejpam-5527	446	4	fuzzy	fuzzy	ADJ
ejpam-5527	446	5	ideals	ideal	NOUN
ejpam-5527	446	6	of	of	ADP
ejpam-5527	446	7	bck	bck	PROPN
ejpam-5527	446	8	/	/	SYM
ejpam-5527	446	9	bci	bci	NOUN
ejpam-5527	446	10	-	-	PUNCT
ejpam-5527	446	11	algebras	algebras	X
ejpam-5527	446	12	.	.	PUNCT
ejpam-5527	447	1	j.	j.	PROPN
ejpam-5527	447	2	king	king	PROPN
ejpam-5527	447	3	saud	saud	VERB
ejpam-5527	447	4	univ.-sci	univ.-sci	PRON
ejpam-5527	447	5	.	.	PUNCT
ejpam-5527	447	6	,	,	PUNCT
ejpam-5527	447	7	31(4):1220–1226	31(4):1220–1226	NUM
ejpam-5527	447	8	,	,	PUNCT
ejpam-5527	447	9	2019	2019	NUM
ejpam-5527	447	10	.	.	PUNCT
ejpam-5527	448	1	[	[	X
ejpam-5527	448	2	13	13	NUM
ejpam-5527	448	3	]	]	PUNCT
ejpam-5527	448	4	a.	a.	PROPN
ejpam-5527	448	5	al	al	PROPN
ejpam-5527	448	6	-	-	PROPN
ejpam-5527	448	7	masarwah	masarwah	PROPN
ejpam-5527	448	8	and	and	CCONJ
ejpam-5527	448	9	a.g	a.g	PROPN
ejpam-5527	448	10	.	.	PROPN
ejpam-5527	448	11	ahmad	ahmad	PROPN
ejpam-5527	448	12	.	.	PUNCT
ejpam-5527	449	1	a	a	DET
ejpam-5527	449	2	new	new	ADJ
ejpam-5527	449	3	form	form	NOUN
ejpam-5527	449	4	of	of	ADP
ejpam-5527	449	5	generalized	generalized	ADJ
ejpam-5527	449	6	m	m	PROPN
ejpam-5527	449	7	-	-	ADJ
ejpam-5527	449	8	pf	pf	NOUN
ejpam-5527	449	9	ideals	ideal	NOUN
ejpam-5527	449	10	in	in	ADP
ejpam-5527	449	11	bck	bck	PROPN
ejpam-5527	449	12	/	/	SYM
ejpam-5527	449	13	bcialgebras	bcialgebras	PROPN
ejpam-5527	449	14	.	.	PUNCT
ejpam-5527	450	1	ann	ann	AUX
ejpam-5527	450	2	.	.	PUNCT
ejpam-5527	450	3	commun	commun	PROPN
ejpam-5527	450	4	.	.	PUNCT
ejpam-5527	451	1	math	math	PROPN
ejpam-5527	451	2	.	.	PUNCT
ejpam-5527	451	3	,	,	PUNCT
ejpam-5527	451	4	2(1):11–16	2(1):11–16	NUM
ejpam-5527	451	5	,	,	PUNCT
ejpam-5527	451	6	2019	2019	NUM
ejpam-5527	451	7	.	.	PUNCT
ejpam-5527	452	1	[	[	X
ejpam-5527	452	2	14	14	NUM
ejpam-5527	452	3	]	]	PUNCT
ejpam-5527	452	4	a.	a.	PROPN
ejpam-5527	452	5	al	al	PROPN
ejpam-5527	452	6	-	-	PROPN
ejpam-5527	452	7	masarwah	masarwah	PROPN
ejpam-5527	452	8	and	and	CCONJ
ejpam-5527	452	9	a.g	a.g	PROPN
ejpam-5527	452	10	.	.	PROPN
ejpam-5527	452	11	ahmad	ahmad	PROPN
ejpam-5527	452	12	.	.	PUNCT
ejpam-5527	453	1	on	on	ADP
ejpam-5527	453	2	(	(	PUNCT
ejpam-5527	453	3	complete	complete	ADJ
ejpam-5527	453	4	)	)	PUNCT
ejpam-5527	453	5	normality	normality	NOUN
ejpam-5527	453	6	of	of	ADP
ejpam-5527	453	7	m	m	NOUN
ejpam-5527	453	8	-	-	ADJ
ejpam-5527	453	9	pf	pf	NOUN
ejpam-5527	453	10	subalgebras	subalgebras	PROPN
ejpam-5527	453	11	in	in	ADP
ejpam-5527	453	12	bck	bck	PROPN
ejpam-5527	453	13	/	/	SYM
ejpam-5527	453	14	bci	bci	NOUN
ejpam-5527	453	15	-	-	PUNCT
ejpam-5527	453	16	algebras	algebra	NOUN
ejpam-5527	453	17	.	.	PUNCT
ejpam-5527	454	1	aims	aim	VERB
ejpam-5527	454	2	math	math	NOUN
ejpam-5527	454	3	.	.	PUNCT
ejpam-5527	454	4	,	,	PUNCT
ejpam-5527	454	5	4(3):740–750	4(3):740–750	NOUN
ejpam-5527	454	6	,	,	PUNCT
ejpam-5527	454	7	2019	2019	NUM
ejpam-5527	454	8	.	.	PUNCT
ejpam-5527	455	1	[	[	X
ejpam-5527	455	2	15	15	NUM
ejpam-5527	455	3	]	]	SYM
ejpam-5527	455	4	moin	moin	NOUN
ejpam-5527	455	5	a.	a.	NOUN
ejpam-5527	455	6	ansari	ansari	PROPN
ejpam-5527	455	7	.	.	PUNCT
ejpam-5527	456	1	rough	rough	ADJ
ejpam-5527	456	2	set	set	NOUN
ejpam-5527	456	3	theory	theory	NOUN
ejpam-5527	456	4	applied	apply	VERB
ejpam-5527	456	5	to	to	ADP
ejpam-5527	456	6	ju	ju	NOUN
ejpam-5527	456	7	-	-	PUNCT
ejpam-5527	456	8	algebras	algebras	PROPN
ejpam-5527	456	9	.	.	PUNCT
ejpam-5527	457	1	int	int	NOUN
ejpam-5527	457	2	.	.	PUNCT
ejpam-5527	458	1	j.	j.	PROPN
ejpam-5527	458	2	math	math	PROPN
ejpam-5527	458	3	.	.	PUNCT
ejpam-5527	459	1	comput	comput	NOUN
ejpam-5527	459	2	.	.	PUNCT
ejpam-5527	460	1	sc	sc	PROPN
ejpam-5527	460	2	.	.	PROPN
ejpam-5527	460	3	,	,	PUNCT
ejpam-5527	460	4	16:1371–1384	16:1371–1384	PROPN
ejpam-5527	460	5	,	,	PUNCT
ejpam-5527	460	6	2021	2021	NUM
ejpam-5527	460	7	.	.	PUNCT
ejpam-5527	461	1	[	[	X
ejpam-5527	461	2	16	16	NUM
ejpam-5527	461	3	]	]	SYM
ejpam-5527	461	4	moin	moin	PROPN
ejpam-5527	461	5	a.	a.	NOUN
ejpam-5527	461	6	ansari	ansari	PROPN
ejpam-5527	461	7	,	,	PUNCT
ejpam-5527	461	8	ali	ali	PROPN
ejpam-5527	461	9	n.	n.	PROPN
ejpam-5527	461	10	a.	a.	PROPN
ejpam-5527	461	11	koam	koam	PROPN
ejpam-5527	461	12	,	,	PUNCT
ejpam-5527	461	13	and	and	CCONJ
ejpam-5527	461	14	a.	a.	NOUN
ejpam-5527	461	15	haider	haider	PROPN
ejpam-5527	461	16	.	.	PUNCT
ejpam-5527	462	1	intersection	intersection	NOUN
ejpam-5527	462	2	soft	soft	ADJ
ejpam-5527	462	3	ideals	ideal	NOUN
ejpam-5527	462	4	and	and	CCONJ
ejpam-5527	462	5	their	their	PRON
ejpam-5527	462	6	quotients	quotient	NOUN
ejpam-5527	462	7	on	on	ADP
ejpam-5527	462	8	ku	ku	PROPN
ejpam-5527	462	9	-	-	PUNCT
ejpam-5527	462	10	algebras	algebras	PROPN
ejpam-5527	462	11	.	.	PUNCT
ejpam-5527	463	1	aims	aim	VERB
ejpam-5527	463	2	mathematics	mathematic	NOUN
ejpam-5527	463	3	,	,	PUNCT
ejpam-5527	463	4	6(11):12077–12084	6(11):12077–12084	NUM
ejpam-5527	463	5	,	,	PUNCT
ejpam-5527	463	6	2021	2021	NUM
ejpam-5527	463	7	.	.	PUNCT
ejpam-5527	464	1	[	[	X
ejpam-5527	464	2	17	17	NUM
ejpam-5527	464	3	]	]	PUNCT
ejpam-5527	464	4	m.	m.	NOUN
ejpam-5527	464	5	aslam	aslam	PROPN
ejpam-5527	464	6	,	,	PUNCT
ejpam-5527	464	7	s.	s.	PROPN
ejpam-5527	464	8	abdullah	abdullah	PROPN
ejpam-5527	464	9	,	,	PUNCT
ejpam-5527	464	10	and	and	CCONJ
ejpam-5527	464	11	m.	m.	PROPN
ejpam-5527	464	12	masood	masood	PROPN
ejpam-5527	464	13	.	.	PUNCT
ejpam-5527	465	1	bipolar	bipolar	ADJ
ejpam-5527	465	2	fuzzy	fuzzy	ADJ
ejpam-5527	465	3	ideals	ideal	NOUN
ejpam-5527	465	4	in	in	ADP
ejpam-5527	465	5	la	la	NOUN
ejpam-5527	465	6	-	-	PUNCT
ejpam-5527	465	7	semigroups	semigroup	NOUN
ejpam-5527	465	8	.	.	PUNCT
ejpam-5527	466	1	world	world	NOUN
ejpam-5527	466	2	appl	appl	PROPN
ejpam-5527	466	3	.	.	PUNCT
ejpam-5527	467	1	sci	sci	PROPN
ejpam-5527	467	2	.	.	PUNCT
ejpam-5527	467	3	j.	j.	PROPN
ejpam-5527	467	4	,	,	PUNCT
ejpam-5527	467	5	17(12):1769–1782	17(12):1769–1782	PROPN
ejpam-5527	467	6	,	,	PUNCT
ejpam-5527	467	7	2012	2012	NUM
ejpam-5527	467	8	.	.	PUNCT
ejpam-5527	468	1	references	reference	NOUN
ejpam-5527	468	2	3992	3992	NUM
ejpam-5527	468	3	[	[	X
ejpam-5527	468	4	18	18	NUM
ejpam-5527	468	5	]	]	PUNCT
ejpam-5527	468	6	m.	m.	NOUN
ejpam-5527	468	7	balamurugan	balamurugan	NOUN
ejpam-5527	468	8	,	,	PUNCT
ejpam-5527	468	9	n.	n.	PROPN
ejpam-5527	468	10	alessa	alessa	PROPN
ejpam-5527	468	11	,	,	PUNCT
ejpam-5527	468	12	k.	k.	PROPN
ejpam-5527	468	13	loganathan	loganathan	PROPN
ejpam-5527	468	14	,	,	PUNCT
ejpam-5527	468	15	and	and	CCONJ
ejpam-5527	468	16	n.	n.	PROPN
ejpam-5527	468	17	amar	amar	PROPN
ejpam-5527	468	18	nath	nath	PROPN
ejpam-5527	468	19	.	.	PUNCT
ejpam-5527	469	1	(	(	PUNCT
ejpam-5527	469	2	∈́	∈́	PROPN
ejpam-5527	469	3	,	,	PUNCT
ejpam-5527	469	4	∈́	∈́	PROPN
ejpam-5527	469	5	∨	∨	NUM
ejpam-5527	469	6	q́ǩ)-uniintuitionistic	q́ǩ)-uniintuitionistic	ADJ
ejpam-5527	469	7	fuzzy	fuzzy	ADJ
ejpam-5527	469	8	soft	soft	ADJ
ejpam-5527	469	9	h	h	NOUN
ejpam-5527	469	10	-	-	PUNCT
ejpam-5527	469	11	ideals	ideal	NOUN
ejpam-5527	469	12	in	in	ADP
ejpam-5527	469	13	subtraction	subtraction	NOUN
ejpam-5527	469	14	bg	bg	PROPN
ejpam-5527	469	15	-	-	PUNCT
ejpam-5527	469	16	algebras	algebras	PROPN
ejpam-5527	469	17	.	.	PUNCT
ejpam-5527	470	1	mathematics	mathematic	NOUN
ejpam-5527	470	2	,	,	PUNCT
ejpam-5527	470	3	11(10):2296	11(10):2296	NUM
ejpam-5527	470	4	,	,	PUNCT
ejpam-5527	470	5	2023	2023	NUM
ejpam-5527	470	6	.	.	PUNCT
ejpam-5527	471	1	[	[	X
ejpam-5527	471	2	19	19	NUM
ejpam-5527	471	3	]	]	PUNCT
ejpam-5527	471	4	m.	m.	NOUN
ejpam-5527	471	5	balamurugan	balamurugan	NOUN
ejpam-5527	471	6	,	,	PUNCT
ejpam-5527	471	7	t.	t.	PROPN
ejpam-5527	471	8	ramesh	ramesh	PROPN
ejpam-5527	471	9	,	,	PUNCT
ejpam-5527	471	10	a.	a.	PROPN
ejpam-5527	471	11	al	al	PROPN
ejpam-5527	471	12	-	-	PROPN
ejpam-5527	471	13	masarwah	masarwah	PROPN
ejpam-5527	471	14	,	,	PUNCT
ejpam-5527	471	15	and	and	CCONJ
ejpam-5527	471	16	k.	k.	PROPN
ejpam-5527	471	17	alsager	alsager	PROPN
ejpam-5527	471	18	.	.	PUNCT
ejpam-5527	472	1	a	a	DET
ejpam-5527	472	2	new	new	ADJ
ejpam-5527	472	3	approach	approach	NOUN
ejpam-5527	472	4	of	of	ADP
ejpam-5527	472	5	complex	complex	ADJ
ejpam-5527	472	6	fuzzy	fuzzy	ADJ
ejpam-5527	472	7	ideals	ideal	NOUN
ejpam-5527	472	8	in	in	ADP
ejpam-5527	472	9	bck	bck	PROPN
ejpam-5527	472	10	/	/	SYM
ejpam-5527	472	11	bci	bci	NOUN
ejpam-5527	472	12	-	-	PUNCT
ejpam-5527	472	13	algebras	algebra	NOUN
ejpam-5527	472	14	.	.	PUNCT
ejpam-5527	473	1	mathematics	mathematic	NOUN
ejpam-5527	473	2	,	,	PUNCT
ejpam-5527	473	3	12(10):1583	12(10):1583	NUM
ejpam-5527	473	4	,	,	PUNCT
ejpam-5527	473	5	2024	2024	NUM
ejpam-5527	473	6	.	.	PUNCT
ejpam-5527	474	1	[	[	X
ejpam-5527	474	2	20	20	NUM
ejpam-5527	474	3	]	]	X
ejpam-5527	474	4	s.k	s.k	PROPN
ejpam-5527	474	5	.	.	PROPN
ejpam-5527	474	6	bhakat	bhakat	PROPN
ejpam-5527	474	7	and	and	CCONJ
ejpam-5527	474	8	p.	p.	NOUN
ejpam-5527	474	9	dasi	dasi	PROPN
ejpam-5527	474	10	.	.	PUNCT
ejpam-5527	475	1	(	(	PUNCT
ejpam-5527	475	2	∈,∈	∈,∈	X
ejpam-5527	475	3	∨	∨	NUM
ejpam-5527	475	4	q)-fuzzy	q)-fuzzy	PROPN
ejpam-5527	475	5	subgroup	subgroup	NOUN
ejpam-5527	475	6	.	.	PUNCT
ejpam-5527	476	1	fuzzy	fuzzy	ADJ
ejpam-5527	476	2	sets	set	NOUN
ejpam-5527	476	3	and	and	CCONJ
ejpam-5527	476	4	systems	system	NOUN
ejpam-5527	476	5	,	,	PUNCT
ejpam-5527	476	6	30(3):359–368	30(3):359–368	PROPN
ejpam-5527	476	7	,	,	PUNCT
ejpam-5527	476	8	1996	1996	NUM
ejpam-5527	476	9	.	.	PUNCT
ejpam-5527	477	1	[	[	X
ejpam-5527	477	2	21	21	NUM
ejpam-5527	477	3	]	]	PUNCT
ejpam-5527	477	4	j.	j.	PROPN
ejpam-5527	477	5	chen	chen	PROPN
ejpam-5527	477	6	,	,	PUNCT
ejpam-5527	477	7	s.	s.	PROPN
ejpam-5527	477	8	li	li	PROPN
ejpam-5527	477	9	,	,	PUNCT
ejpam-5527	477	10	s.	s.	PROPN
ejpam-5527	477	11	ma	ma	PROPN
ejpam-5527	477	12	,	,	PUNCT
ejpam-5527	477	13	and	and	CCONJ
ejpam-5527	477	14	x.	x.	PROPN
ejpam-5527	477	15	wang	wang	PROPN
ejpam-5527	477	16	.	.	PUNCT
ejpam-5527	478	1	m	m	PROPN
ejpam-5527	478	2	-	-	ADJ
ejpam-5527	478	3	polar	polar	ADJ
ejpam-5527	478	4	fuzzy	fuzzy	ADJ
ejpam-5527	478	5	sets	set	NOUN
ejpam-5527	478	6	:	:	PUNCT
ejpam-5527	478	7	an	an	DET
ejpam-5527	478	8	extension	extension	NOUN
ejpam-5527	478	9	of	of	ADP
ejpam-5527	478	10	bipolar	bipolar	ADJ
ejpam-5527	478	11	fuzzy	fuzzy	ADJ
ejpam-5527	478	12	sets	set	NOUN
ejpam-5527	478	13	.	.	PUNCT
ejpam-5527	479	1	sci	sci	PROPN
ejpam-5527	479	2	.	.	PROPN
ejpam-5527	479	3	world	world	PROPN
ejpam-5527	479	4	j.	j.	PROPN
ejpam-5527	479	5	,	,	PUNCT
ejpam-5527	479	6	2014	2014	NUM
ejpam-5527	479	7	.	.	PUNCT
ejpam-5527	480	1	[	[	X
ejpam-5527	480	2	22	22	NUM
ejpam-5527	480	3	]	]	PUNCT
ejpam-5527	480	4	a.	a.	NOUN
ejpam-5527	480	5	farooq	farooq	PROPN
ejpam-5527	480	6	,	,	PUNCT
ejpam-5527	480	7	g.	g.	PROPN
ejpam-5527	480	8	ali	ali	PROPN
ejpam-5527	480	9	,	,	PUNCT
ejpam-5527	480	10	and	and	CCONJ
ejpam-5527	480	11	m.akram	m.akram	NOUN
ejpam-5527	480	12	.	.	PUNCT
ejpam-5527	481	1	on	on	ADP
ejpam-5527	481	2	m	m	ADJ
ejpam-5527	481	3	-	-	ADJ
ejpam-5527	481	4	polar	polar	ADJ
ejpam-5527	481	5	fuzzy	fuzzy	ADJ
ejpam-5527	481	6	groups	group	NOUN
ejpam-5527	481	7	.	.	PUNCT
ejpam-5527	482	1	international	international	ADJ
ejpam-5527	482	2	journal	journal	PROPN
ejpam-5527	482	3	of	of	ADP
ejpam-5527	482	4	algebra	algebra	PROPN
ejpam-5527	482	5	and	and	CCONJ
ejpam-5527	482	6	statistics	statistic	NOUN
ejpam-5527	482	7	,	,	PUNCT
ejpam-5527	482	8	5(2):115–127	5(2):115–127	NUM
ejpam-5527	482	9	,	,	PUNCT
ejpam-5527	482	10	2016	2016	NUM
ejpam-5527	482	11	.	.	PUNCT
ejpam-5527	483	1	[	[	X
ejpam-5527	483	2	23	23	NUM
ejpam-5527	483	3	]	]	PUNCT
ejpam-5527	483	4	a.	a.	NOUN
ejpam-5527	483	5	iamapan	iamapan	PROPN
ejpam-5527	483	6	,	,	PUNCT
ejpam-5527	483	7	m.	m.	NOUN
ejpam-5527	483	8	balamurugan	balamurugan	NOUN
ejpam-5527	483	9	,	,	PUNCT
ejpam-5527	483	10	and	and	CCONJ
ejpam-5527	483	11	v.	v.	ADP
ejpam-5527	483	12	govindan	govindan	PROPN
ejpam-5527	483	13	.	.	PUNCT
ejpam-5527	484	1	(	(	PUNCT
ejpam-5527	484	2	∈,∈	∈,∈	X
ejpam-5527	484	3	∨qk̃)-anti	∨qk̃)-anti	VERB
ejpam-5527	484	4	-	-	ADJ
ejpam-5527	484	5	intuitionistic	intuitionistic	ADJ
ejpam-5527	484	6	fuzzy	fuzzy	ADJ
ejpam-5527	484	7	soft	soft	ADJ
ejpam-5527	484	8	b	b	NOUN
ejpam-5527	484	9	-	-	PUNCT
ejpam-5527	484	10	ideals	ideal	NOUN
ejpam-5527	484	11	in	in	ADP
ejpam-5527	484	12	bck	bck	PROPN
ejpam-5527	484	13	/	/	SYM
ejpam-5527	484	14	bci	bci	NOUN
ejpam-5527	484	15	-	-	PUNCT
ejpam-5527	484	16	algebras	algebra	NOUN
ejpam-5527	484	17	.	.	PUNCT
ejpam-5527	485	1	mathematics	mathematic	NOUN
ejpam-5527	485	2	and	and	CCONJ
ejpam-5527	485	3	statistics	statistic	NOUN
ejpam-5527	485	4	,	,	PUNCT
ejpam-5527	485	5	10(3):515–522	10(3):515–522	PROPN
ejpam-5527	485	6	,	,	PUNCT
ejpam-5527	485	7	2022	2022	NUM
ejpam-5527	485	8	.	.	PUNCT
ejpam-5527	486	1	[	[	X
ejpam-5527	486	2	24	24	NUM
ejpam-5527	486	3	]	]	PUNCT
ejpam-5527	486	4	m.	m.	NOUN
ejpam-5527	486	5	ibrar	ibrar	NOUN
ejpam-5527	486	6	,	,	PUNCT
ejpam-5527	486	7	a.	a.	PROPN
ejpam-5527	486	8	khan	khan	PROPN
ejpam-5527	486	9	,	,	PUNCT
ejpam-5527	486	10	and	and	CCONJ
ejpam-5527	486	11	b.	b.	PROPN
ejpam-5527	486	12	davvazi	davvazi	PROPN
ejpam-5527	486	13	.	.	PUNCT
ejpam-5527	487	1	characterizations	characterization	NOUN
ejpam-5527	487	2	of	of	ADP
ejpam-5527	487	3	regular	regular	ADJ
ejpam-5527	487	4	ordered	order	VERB
ejpam-5527	487	5	semigroups	semigroup	NOUN
ejpam-5527	487	6	in	in	ADP
ejpam-5527	487	7	terms	term	NOUN
ejpam-5527	487	8	of	of	ADP
ejpam-5527	487	9	(	(	PUNCT
ejpam-5527	487	10	α	α	NOUN
ejpam-5527	487	11	,	,	PUNCT
ejpam-5527	487	12	β)-bipolar	β)-bipolar	PUNCT
ejpam-5527	487	13	fuzzy	fuzzy	ADJ
ejpam-5527	487	14	generalized	generalized	ADJ
ejpam-5527	487	15	bi	bi	NOUN
ejpam-5527	487	16	-	-	NOUN
ejpam-5527	487	17	ideals	ideal	NOUN
ejpam-5527	487	18	.	.	PUNCT
ejpam-5527	488	1	journal	journal	NOUN
ejpam-5527	488	2	of	of	ADP
ejpam-5527	488	3	intelligent	intelligent	ADJ
ejpam-5527	488	4	&	&	CCONJ
ejpam-5527	488	5	fuzzy	fuzzy	ADJ
ejpam-5527	488	6	systems	system	NOUN
ejpam-5527	488	7	,	,	PUNCT
ejpam-5527	488	8	33(1):365–376	33(1):365–376	PROPN
ejpam-5527	488	9	,	,	PUNCT
ejpam-5527	488	10	2017	2017	NUM
ejpam-5527	488	11	.	.	PUNCT
ejpam-5527	489	1	[	[	X
ejpam-5527	489	2	25	25	NUM
ejpam-5527	489	3	]	]	X
ejpam-5527	489	4	y.	y.	PROPN
ejpam-5527	489	5	imai	imai	PROPN
ejpam-5527	489	6	and	and	CCONJ
ejpam-5527	489	7	k.	k.	NOUN
ejpam-5527	489	8	isék	isék	PROPN
ejpam-5527	489	9	.	.	PUNCT
ejpam-5527	490	1	on	on	ADP
ejpam-5527	490	2	axiom	axiom	NOUN
ejpam-5527	490	3	systems	system	NOUN
ejpam-5527	490	4	of	of	ADP
ejpam-5527	490	5	propositional	propositional	ADJ
ejpam-5527	490	6	calculi	calculi	PROPN
ejpam-5527	490	7	.	.	PUNCT
ejpam-5527	491	1	xiv	xiv	PROPN
ejpam-5527	491	2	.	.	PUNCT
ejpam-5527	492	1	proc	proc	PROPN
ejpam-5527	492	2	.	.	PUNCT
ejpam-5527	493	1	japan	japan	PROPN
ejpam-5527	493	2	acad	acad	PROPN
ejpam-5527	493	3	.	.	PROPN
ejpam-5527	493	4	,	,	PUNCT
ejpam-5527	493	5	42(1):19–22	42(1):19–22	NUM
ejpam-5527	493	6	,	,	PUNCT
ejpam-5527	493	7	1966	1966	NUM
ejpam-5527	493	8	.	.	PUNCT
ejpam-5527	494	1	[	[	X
ejpam-5527	494	2	26	26	NUM
ejpam-5527	494	3	]	]	PUNCT
ejpam-5527	494	4	k.	k.	NOUN
ejpam-5527	495	1	isék	isék	PROPN
ejpam-5527	495	2	.	.	PUNCT
ejpam-5527	496	1	an	an	DET
ejpam-5527	496	2	algebra	algebra	NOUN
ejpam-5527	496	3	related	relate	VERB
ejpam-5527	496	4	with	with	ADP
ejpam-5527	496	5	a	a	DET
ejpam-5527	496	6	propositional	propositional	ADJ
ejpam-5527	496	7	calculus	calculus	NOUN
ejpam-5527	496	8	.	.	PUNCT
ejpam-5527	497	1	linear	linear	PROPN
ejpam-5527	497	2	algebra	algebra	NOUN
ejpam-5527	497	3	and	and	CCONJ
ejpam-5527	497	4	its	its	PRON
ejpam-5527	497	5	applications	application	NOUN
ejpam-5527	497	6	,	,	PUNCT
ejpam-5527	497	7	42(1):26–29	42(1):26–29	NUM
ejpam-5527	497	8	,	,	PUNCT
ejpam-5527	497	9	1996	1996	NUM
ejpam-5527	497	10	.	.	PUNCT
ejpam-5527	498	1	[	[	X
ejpam-5527	498	2	27	27	NUM
ejpam-5527	498	3	]	]	PUNCT
ejpam-5527	498	4	a.	a.	NOUN
ejpam-5527	498	5	jaleel	jaleel	PROPN
ejpam-5527	498	6	,	,	PUNCT
ejpam-5527	498	7	t.	t.	PROPN
ejpam-5527	498	8	mahmood	mahmood	PROPN
ejpam-5527	498	9	,	,	PUNCT
ejpam-5527	498	10	w.	w.	PROPN
ejpam-5527	498	11	emam	emam	PROPN
ejpam-5527	498	12	,	,	PUNCT
ejpam-5527	498	13	and	and	CCONJ
ejpam-5527	498	14	s.	s.	PROPN
ejpam-5527	498	15	yin	yin	PROPN
ejpam-5527	498	16	.	.	PUNCT
ejpam-5527	499	1	interval	interval	NOUN
ejpam-5527	499	2	valued	value	VERB
ejpam-5527	499	3	bipolar	bipolar	ADJ
ejpam-5527	499	4	complex	complex	ADJ
ejpam-5527	499	5	fuzzy	fuzzy	ADJ
ejpam-5527	499	6	soft	soft	ADJ
ejpam-5527	499	7	sets	set	NOUN
ejpam-5527	499	8	and	and	CCONJ
ejpam-5527	499	9	their	their	PRON
ejpam-5527	499	10	applications	application	NOUN
ejpam-5527	499	11	in	in	ADP
ejpam-5527	499	12	decision	decision	NOUN
ejpam-5527	499	13	making	making	NOUN
ejpam-5527	499	14	.	.	PUNCT
ejpam-5527	500	1	scientific	scientific	ADJ
ejpam-5527	500	2	reports	report	NOUN
ejpam-5527	500	3	,	,	PUNCT
ejpam-5527	500	4	14:1–9	14:1–9	NUM
ejpam-5527	500	5	,	,	PUNCT
ejpam-5527	500	6	2024	2024	NUM
ejpam-5527	500	7	.	.	PUNCT
ejpam-5527	501	1	[	[	X
ejpam-5527	501	2	28	28	NUM
ejpam-5527	501	3	]	]	X
ejpam-5527	501	4	c.	c.	PROPN
ejpam-5527	501	5	jana	jana	PROPN
ejpam-5527	501	6	,	,	PUNCT
ejpam-5527	501	7	m.	m.	NOUN
ejpam-5527	501	8	pal	pal	NOUN
ejpam-5527	501	9	,	,	PUNCT
ejpam-5527	501	10	and	and	CCONJ
ejpam-5527	501	11	a.b	a.b	PROPN
ejpam-5527	501	12	.	.	PROPN
ejpam-5527	501	13	saiedi	saiedi	PROPN
ejpam-5527	501	14	.	.	PUNCT
ejpam-5527	501	15	(	(	PUNCT
ejpam-5527	501	16	∈,∈	∈,∈	X
ejpam-5527	501	17	∨q)-bipolar	∨q)-bipolar	ADJ
ejpam-5527	501	18	fuzzy	fuzzy	ADJ
ejpam-5527	501	19	bck	bck	NOUN
ejpam-5527	501	20	-	-	PUNCT
ejpam-5527	501	21	algebras	algebras	PROPN
ejpam-5527	501	22	.	.	PUNCT
ejpam-5527	502	1	missouri	missouri	PROPN
ejpam-5527	502	2	journal	journal	PROPN
ejpam-5527	502	3	of	of	ADP
ejpam-5527	502	4	mathematical	mathematical	ADJ
ejpam-5527	502	5	sciences	sciences	PROPN
ejpam-5527	502	6	,	,	PUNCT
ejpam-5527	502	7	29(2):139–160	29(2):139–160	PROPN
ejpam-5527	502	8	,	,	PUNCT
ejpam-5527	502	9	2017	2017	NUM
ejpam-5527	502	10	.	.	PUNCT
ejpam-5527	503	1	[	[	X
ejpam-5527	503	2	29	29	NUM
ejpam-5527	503	3	]	]	PUNCT
ejpam-5527	503	4	k.	k.	PROPN
ejpam-5527	503	5	kawila	kawila	PROPN
ejpam-5527	503	6	,	,	PUNCT
ejpam-5527	503	7	c.	c.	PROPN
ejpam-5527	503	8	udomsetchai	udomsetchai	PROPN
ejpam-5527	503	9	,	,	PUNCT
ejpam-5527	503	10	and	and	CCONJ
ejpam-5527	503	11	a.	a.	NOUN
ejpam-5527	503	12	iampan	iampan	PROPN
ejpam-5527	503	13	.	.	PUNCT
ejpam-5527	504	1	bipolar	bipolar	ADJ
ejpam-5527	504	2	fuzzy	fuzzy	ADJ
ejpam-5527	504	3	up	up	ADP
ejpam-5527	504	4	-	-	PUNCT
ejpam-5527	504	5	algebras	algebras	PROPN
ejpam-5527	504	6	.	.	PUNCT
ejpam-5527	505	1	math	math	NOUN
ejpam-5527	505	2	.	.	PUNCT
ejpam-5527	506	1	comput	comput	NOUN
ejpam-5527	506	2	.	.	PUNCT
ejpam-5527	507	1	appl	appl	PROPN
ejpam-5527	507	2	.	.	PROPN
ejpam-5527	507	3	,	,	PUNCT
ejpam-5527	507	4	23(4):69	23(4):69	PROPN
ejpam-5527	507	5	,	,	PUNCT
ejpam-5527	507	6	2018	2018	NUM
ejpam-5527	507	7	.	.	PUNCT
ejpam-5527	508	1	[	[	X
ejpam-5527	508	2	30	30	NUM
ejpam-5527	508	3	]	]	X
ejpam-5527	508	4	ali	ali	PROPN
ejpam-5527	508	5	n.	n.	PROPN
ejpam-5527	508	6	a.	a.	PROPN
ejpam-5527	508	7	koam	koam	PROPN
ejpam-5527	508	8	,	,	PUNCT
ejpam-5527	508	9	azeem	azeem	PROPN
ejpam-5527	508	10	haider	haider	PROPN
ejpam-5527	508	11	,	,	PUNCT
ejpam-5527	508	12	and	and	CCONJ
ejpam-5527	508	13	moin	moin	NOUN
ejpam-5527	508	14	a.	a.	NOUN
ejpam-5527	508	15	ansari	ansari	PROPN
ejpam-5527	508	16	.	.	PUNCT
ejpam-5527	509	1	on	on	ADP
ejpam-5527	509	2	an	an	DET
ejpam-5527	509	3	extension	extension	NOUN
ejpam-5527	509	4	of	of	ADP
ejpam-5527	509	5	ku	ku	PROPN
ejpam-5527	509	6	-	-	PUNCT
ejpam-5527	509	7	algebras	algebras	PROPN
ejpam-5527	509	8	.	.	PUNCT
ejpam-5527	510	1	aims	aim	VERB
ejpam-5527	510	2	mathematics	mathematic	NOUN
ejpam-5527	510	3	,	,	PUNCT
ejpam-5527	510	4	6(2):1249–1257	6(2):1249–1257	PROPN
ejpam-5527	510	5	,	,	PUNCT
ejpam-5527	510	6	2021	2021	NUM
ejpam-5527	510	7	.	.	PUNCT
ejpam-5527	511	1	[	[	X
ejpam-5527	511	2	31	31	NUM
ejpam-5527	511	3	]	]	PUNCT
ejpam-5527	511	4	k.	k.	PROPN
ejpam-5527	511	5	j.	j.	PROPN
ejpam-5527	511	6	lee	lee	PROPN
ejpam-5527	511	7	.	.	PUNCT
ejpam-5527	512	1	bipolar	bipolar	ADJ
ejpam-5527	512	2	fuzzy	fuzzy	ADJ
ejpam-5527	512	3	subalgebras	subalgebra	NOUN
ejpam-5527	512	4	and	and	CCONJ
ejpam-5527	512	5	bipolar	bipolar	ADJ
ejpam-5527	512	6	fuzzy	fuzzy	ADJ
ejpam-5527	512	7	ideals	ideal	NOUN
ejpam-5527	512	8	of	of	ADP
ejpam-5527	512	9	bck	bck	PROPN
ejpam-5527	512	10	/	/	SYM
ejpam-5527	512	11	bci	bci	NOUN
ejpam-5527	512	12	-	-	PUNCT
ejpam-5527	512	13	algebras	algebra	NOUN
ejpam-5527	512	14	.	.	PUNCT
ejpam-5527	513	1	bull	bull	NOUN
ejpam-5527	513	2	.	.	PUNCT
ejpam-5527	514	1	malays	malays	PROPN
ejpam-5527	514	2	.	.	PUNCT
ejpam-5527	515	1	math	math	NOUN
ejpam-5527	515	2	.	.	PUNCT
ejpam-5527	516	1	sci	sci	PROPN
ejpam-5527	516	2	.	.	PROPN
ejpam-5527	516	3	soc	soc	PROPN
ejpam-5527	516	4	.	.	PUNCT
ejpam-5527	516	5	,	,	PUNCT
ejpam-5527	517	1	32(3):361–373	32(3):361–373	NUM
ejpam-5527	517	2	,	,	PUNCT
ejpam-5527	517	3	2009	2009	NUM
ejpam-5527	517	4	.	.	PUNCT
ejpam-5527	518	1	[	[	X
ejpam-5527	518	2	32	32	NUM
ejpam-5527	518	3	]	]	PUNCT
ejpam-5527	518	4	k.	k.	PROPN
ejpam-5527	518	5	j.	j.	PROPN
ejpam-5527	518	6	lee	lee	PROPN
ejpam-5527	518	7	and	and	CCONJ
ejpam-5527	518	8	y.	y.	PROPN
ejpam-5527	518	9	b.	b.	PROPN
ejpam-5527	518	10	jun	jun	PROPN
ejpam-5527	518	11	.	.	PUNCT
ejpam-5527	518	12	bipolar	bipolar	ADJ
ejpam-5527	518	13	fuzzy	fuzzy	ADJ
ejpam-5527	518	14	a	a	NOUN
ejpam-5527	518	15	-	-	PUNCT
ejpam-5527	518	16	ideals	ideal	NOUN
ejpam-5527	518	17	of	of	ADP
ejpam-5527	518	18	bci	bci	NOUN
ejpam-5527	518	19	-	-	PUNCT
ejpam-5527	518	20	algebras	algebra	NOUN
ejpam-5527	518	21	.	.	PUNCT
ejpam-5527	519	1	commun	commun	PROPN
ejpam-5527	519	2	.	.	PUNCT
ejpam-5527	520	1	korean	korean	ADJ
ejpam-5527	520	2	math	math	PROPN
ejpam-5527	520	3	.	.	PUNCT
ejpam-5527	521	1	soc	soc	PROPN
ejpam-5527	521	2	.	.	PUNCT
ejpam-5527	521	3	,	,	PUNCT
ejpam-5527	521	4	26(4):531–542	26(4):531–542	PROPN
ejpam-5527	521	5	,	,	PUNCT
ejpam-5527	521	6	2011	2011	NUM
ejpam-5527	521	7	.	.	PUNCT
ejpam-5527	522	1	[	[	X
ejpam-5527	522	2	33	33	NUM
ejpam-5527	522	3	]	]	PUNCT
ejpam-5527	522	4	k.	k.	PROPN
ejpam-5527	522	5	m.	m.	PROPN
ejpam-5527	522	6	lee	lee	PROPN
ejpam-5527	522	7	.	.	PUNCT
ejpam-5527	523	1	bipolar	bipolar	ADJ
ejpam-5527	523	2	-	-	PUNCT
ejpam-5527	523	3	valued	value	VERB
ejpam-5527	523	4	fuzzy	fuzzy	ADJ
ejpam-5527	523	5	sets	set	NOUN
ejpam-5527	523	6	and	and	CCONJ
ejpam-5527	523	7	their	their	PRON
ejpam-5527	523	8	basic	basic	ADJ
ejpam-5527	523	9	operations	operation	NOUN
ejpam-5527	523	10	.	.	PUNCT
ejpam-5527	524	1	proc	proc	NOUN
ejpam-5527	524	2	.	.	PUNCT
ejpam-5527	525	1	int	int	NOUN
ejpam-5527	525	2	.	.	PUNCT
ejpam-5527	525	3	conf	conf	PROPN
ejpam-5527	525	4	.	.	PUNCT
ejpam-5527	526	1	on	on	ADP
ejpam-5527	526	2	intelligent	intelligent	ADJ
ejpam-5527	526	3	technologies	technology	NOUN
ejpam-5527	526	4	,	,	PUNCT
ejpam-5527	526	5	bangkok	bangkok	PROPN
ejpam-5527	526	6	,	,	PUNCT
ejpam-5527	526	7	thailand	thailand	PROPN
ejpam-5527	526	8	,	,	PUNCT
ejpam-5527	526	9	pages	page	NOUN
ejpam-5527	526	10	307–312	307–312	NUM
ejpam-5527	526	11	,	,	PUNCT
ejpam-5527	526	12	2000	2000	NUM
ejpam-5527	526	13	.	.	PUNCT
ejpam-5527	527	1	references	reference	NOUN
ejpam-5527	527	2	3993	3993	NUM
ejpam-5527	527	3	[	[	X
ejpam-5527	527	4	34	34	NUM
ejpam-5527	527	5	]	]	PUNCT
ejpam-5527	527	6	t.	t.	PROPN
ejpam-5527	527	7	mahmood	mahmood	PROPN
ejpam-5527	527	8	,	,	PUNCT
ejpam-5527	527	9	u.	u.	PROPN
ejpam-5527	527	10	rehman	rehman	PROPN
ejpam-5527	527	11	,	,	PUNCT
ejpam-5527	527	12	a.	a.	PROPN
ejpam-5527	527	13	jaleel	jaleel	PROPN
ejpam-5527	527	14	,	,	PUNCT
ejpam-5527	527	15	j.	j.	PROPN
ejpam-5527	527	16	ahmmad	ahmmad	PROPN
ejpam-5527	527	17	,	,	PUNCT
ejpam-5527	527	18	and	and	CCONJ
ejpam-5527	527	19	r.	r.	PROPN
ejpam-5527	527	20	chinram	chinram	PROPN
ejpam-5527	527	21	.	.	PUNCT
ejpam-5527	528	1	bipolar	bipolar	ADJ
ejpam-5527	528	2	complex	complex	ADJ
ejpam-5527	528	3	fuzzy	fuzzy	ADJ
ejpam-5527	528	4	soft	soft	ADJ
ejpam-5527	528	5	sets	set	NOUN
ejpam-5527	528	6	and	and	CCONJ
ejpam-5527	528	7	their	their	PRON
ejpam-5527	528	8	applications	application	NOUN
ejpam-5527	528	9	in	in	ADP
ejpam-5527	528	10	decision	decision	NOUN
ejpam-5527	528	11	-	-	PUNCT
ejpam-5527	528	12	making	making	NOUN
ejpam-5527	528	13	.	.	PUNCT
ejpam-5527	529	1	mathematics	mathematic	NOUN
ejpam-5527	529	2	,	,	PUNCT
ejpam-5527	529	3	10:1048	10:1048	NUM
ejpam-5527	529	4	,	,	PUNCT
ejpam-5527	529	5	2022	2022	NUM
ejpam-5527	529	6	.	.	PUNCT
ejpam-5527	530	1	[	[	X
ejpam-5527	530	2	35	35	NUM
ejpam-5527	530	3	]	]	X
ejpam-5527	530	4	m.t	m.t	PROPN
ejpam-5527	530	5	.	.	PROPN
ejpam-5527	530	6	mohseni	mohseni	PROPN
ejpam-5527	530	7	,	,	PUNCT
ejpam-5527	530	8	s.s	s.s	PROPN
ejpam-5527	530	9	.	.	PROPN
ejpam-5527	530	10	ahn	ahn	PROPN
ejpam-5527	530	11	,	,	PUNCT
ejpam-5527	530	12	r.a	r.a	PROPN
ejpam-5527	530	13	.	.	PROPN
ejpam-5527	530	14	borzooei	borzooei	PROPN
ejpam-5527	530	15	,	,	PUNCT
ejpam-5527	530	16	and	and	CCONJ
ejpam-5527	530	17	y.b	y.b	PROPN
ejpam-5527	530	18	.	.	PROPN
ejpam-5527	530	19	jun	jun	PROPN
ejpam-5527	530	20	.	.	PROPN
ejpam-5527	530	21	multipolar	multipolar	ADJ
ejpam-5527	530	22	fuzzy	fuzzy	ADJ
ejpam-5527	530	23	p	p	NOUN
ejpam-5527	530	24	-	-	PUNCT
ejpam-5527	530	25	ideals	ideal	NOUN
ejpam-5527	530	26	of	of	ADP
ejpam-5527	530	27	bci	bci	NOUN
ejpam-5527	530	28	-	-	PUNCT
ejpam-5527	530	29	algebras	algebra	NOUN
ejpam-5527	530	30	.	.	PUNCT
ejpam-5527	531	1	mathematics	mathematic	NOUN
ejpam-5527	531	2	,	,	PUNCT
ejpam-5527	531	3	7(11):1094	7(11):1094	NOUN
ejpam-5527	531	4	,	,	PUNCT
ejpam-5527	531	5	2019	2019	NUM
ejpam-5527	531	6	.	.	PUNCT
ejpam-5527	532	1	[	[	X
ejpam-5527	532	2	36	36	NUM
ejpam-5527	532	3	]	]	X
ejpam-5527	532	4	g.	g.	PROPN
ejpam-5527	532	5	muhiuddin	muhiuddin	PROPN
ejpam-5527	532	6	.	.	PUNCT
ejpam-5527	533	1	bipolar	bipolar	ADJ
ejpam-5527	533	2	fuzzy	fuzzy	ADJ
ejpam-5527	533	3	ku	ku	PROPN
ejpam-5527	533	4	-	-	PUNCT
ejpam-5527	533	5	subalgebras	subalgebras	PROPN
ejpam-5527	533	6	/	/	SYM
ejpam-5527	533	7	ideals	ideal	NOUN
ejpam-5527	533	8	of	of	ADP
ejpam-5527	533	9	ku	ku	PROPN
ejpam-5527	533	10	-	-	PUNCT
ejpam-5527	533	11	algebras	algebras	PROPN
ejpam-5527	533	12	.	.	PUNCT
ejpam-5527	534	1	annals	annal	NOUN
ejpam-5527	534	2	of	of	ADP
ejpam-5527	534	3	fuzzy	fuzzy	ADJ
ejpam-5527	534	4	mathematics	mathematic	NOUN
ejpam-5527	534	5	and	and	CCONJ
ejpam-5527	534	6	informatics	informatic	NOUN
ejpam-5527	534	7	,	,	PUNCT
ejpam-5527	534	8	8(3):409–418	8(3):409–418	NUM
ejpam-5527	534	9	,	,	PUNCT
ejpam-5527	534	10	2014	2014	NUM
ejpam-5527	534	11	.	.	PUNCT
ejpam-5527	535	1	[	[	X
ejpam-5527	535	2	37	37	NUM
ejpam-5527	535	3	]	]	X
ejpam-5527	535	4	g.	g.	PROPN
ejpam-5527	535	5	muhiuddin	muhiuddin	PROPN
ejpam-5527	535	6	,	,	PUNCT
ejpam-5527	535	7	n.	n.	PROPN
ejpam-5527	535	8	abughazalah	abughazalah	NOUN
ejpam-5527	535	9	,	,	PUNCT
ejpam-5527	535	10	a.	a.	NOUN
ejpam-5527	535	11	aljuhani	aljuhani	PROPN
ejpam-5527	535	12	,	,	PUNCT
ejpam-5527	535	13	and	and	CCONJ
ejpam-5527	535	14	m.	m.	NOUN
ejpam-5527	535	15	balamurugan	balamurugan	VERB
ejpam-5527	535	16	.	.	PUNCT
ejpam-5527	536	1	tripolar	tripolar	ADJ
ejpam-5527	536	2	picture	picture	NOUN
ejpam-5527	536	3	fuzzy	fuzzy	ADJ
ejpam-5527	536	4	ideals	ideal	NOUN
ejpam-5527	536	5	of	of	ADP
ejpam-5527	536	6	bck	bck	NOUN
ejpam-5527	536	7	-	-	PUNCT
ejpam-5527	536	8	algebras	algebras	PROPN
ejpam-5527	536	9	.	.	PUNCT
ejpam-5527	536	10	symmetry	symmetry	PROPN
ejpam-5527	536	11	,	,	PUNCT
ejpam-5527	536	12	14(8):1562	14(8):1562	NUM
ejpam-5527	536	13	,	,	PUNCT
ejpam-5527	536	14	2022	2022	NUM
ejpam-5527	536	15	.	.	PUNCT
ejpam-5527	537	1	[	[	X
ejpam-5527	537	2	38	38	NUM
ejpam-5527	537	3	]	]	X
ejpam-5527	537	4	g.	g.	PROPN
ejpam-5527	537	5	muhiuddin	muhiuddin	PROPN
ejpam-5527	537	6	,	,	PUNCT
ejpam-5527	537	7	d.	d.	PROPN
ejpam-5527	537	8	al	al	PROPN
ejpam-5527	537	9	-	-	PUNCT
ejpam-5527	537	10	kadi	kadi	PROPN
ejpam-5527	537	11	,	,	PUNCT
ejpam-5527	537	12	and	and	CCONJ
ejpam-5527	537	13	m.	m.	NOUN
ejpam-5527	537	14	balamurugan	balamurugan	VERB
ejpam-5527	537	15	.	.	PUNCT
ejpam-5527	538	1	anti	anti	ADJ
ejpam-5527	538	2	-	-	ADJ
ejpam-5527	538	3	intuitionistic	intuitionistic	ADJ
ejpam-5527	538	4	fuzzy	fuzzy	ADJ
ejpam-5527	538	5	soft	soft	ADJ
ejpam-5527	538	6	aideals	aideal	NOUN
ejpam-5527	538	7	applied	apply	VERB
ejpam-5527	538	8	to	to	ADP
ejpam-5527	538	9	bci	bci	NOUN
ejpam-5527	538	10	-	-	PUNCT
ejpam-5527	538	11	algebras	algebra	NOUN
ejpam-5527	538	12	.	.	PUNCT
ejpam-5527	539	1	axioms	axiom	NOUN
ejpam-5527	539	2	,	,	PUNCT
ejpam-5527	539	3	9(3):79	9(3):79	NOUN
ejpam-5527	539	4	,	,	PUNCT
ejpam-5527	539	5	2020	2020	NUM
ejpam-5527	539	6	.	.	PUNCT
ejpam-5527	540	1	[	[	X
ejpam-5527	540	2	39	39	NUM
ejpam-5527	540	3	]	]	X
ejpam-5527	540	4	g.	g.	PROPN
ejpam-5527	540	5	muhiuddin	muhiuddin	PROPN
ejpam-5527	540	6	,	,	PUNCT
ejpam-5527	540	7	d.	d.	PROPN
ejpam-5527	540	8	al	al	PROPN
ejpam-5527	540	9	-	-	PUNCT
ejpam-5527	540	10	kadi	kadi	PROPN
ejpam-5527	540	11	,	,	PUNCT
ejpam-5527	540	12	a.	a.	NOUN
ejpam-5527	540	13	mehboob	mehboob	PROPN
ejpam-5527	540	14	,	,	PUNCT
ejpam-5527	540	15	and	and	CCONJ
ejpam-5527	540	16	k.p	k.p	PROPN
ejpam-5527	540	17	.	.	PROPN
ejpam-5527	540	18	shum	shum	PROPN
ejpam-5527	540	19	.	.	PUNCT
ejpam-5527	541	1	new	new	ADJ
ejpam-5527	541	2	types	type	NOUN
ejpam-5527	541	3	of	of	ADP
ejpam-5527	541	4	bipolar	bipolar	ADJ
ejpam-5527	541	5	fuzzy	fuzzy	ADJ
ejpam-5527	541	6	ideals	ideal	NOUN
ejpam-5527	541	7	of	of	ADP
ejpam-5527	541	8	bck	bck	NOUN
ejpam-5527	541	9	-	-	PUNCT
ejpam-5527	541	10	algebras	algebras	PROPN
ejpam-5527	541	11	.	.	PUNCT
ejpam-5527	542	1	international	international	ADJ
ejpam-5527	542	2	journal	journal	NOUN
ejpam-5527	542	3	of	of	ADP
ejpam-5527	542	4	analysis	analysis	NOUN
ejpam-5527	542	5	and	and	CCONJ
ejpam-5527	542	6	applications	application	NOUN
ejpam-5527	542	7	,	,	PUNCT
ejpam-5527	542	8	18(5):859	18(5):859	NUM
ejpam-5527	542	9	–	–	PUNCT
ejpam-5527	542	10	875	875	NUM
ejpam-5527	542	11	,	,	PUNCT
ejpam-5527	542	12	2020	2020	NUM
ejpam-5527	542	13	.	.	PUNCT
ejpam-5527	543	1	[	[	X
ejpam-5527	543	2	40	40	NUM
ejpam-5527	543	3	]	]	X
ejpam-5527	543	4	g.	g.	PROPN
ejpam-5527	543	5	muhiuddin	muhiuddin	PROPN
ejpam-5527	543	6	,	,	PUNCT
ejpam-5527	543	7	h.	h.	PROPN
ejpam-5527	543	8	harizavi	harizavi	PROPN
ejpam-5527	543	9	,	,	PUNCT
ejpam-5527	543	10	and	and	CCONJ
ejpam-5527	543	11	y.b	y.b	PROPN
ejpam-5527	543	12	.	.	PROPN
ejpam-5527	543	13	jun	jun	PROPN
ejpam-5527	543	14	.	.	PUNCT
ejpam-5527	543	15	bipolar	bipolar	ADJ
ejpam-5527	543	16	-	-	PUNCT
ejpam-5527	543	17	valued	value	VERB
ejpam-5527	543	18	fuzzy	fuzzy	ADJ
ejpam-5527	543	19	soft	soft	ADJ
ejpam-5527	543	20	hyper	hyper	ADJ
ejpam-5527	543	21	bck	bck	NOUN
ejpam-5527	543	22	-	-	PUNCT
ejpam-5527	543	23	ideals	ideal	NOUN
ejpam-5527	543	24	in	in	ADP
ejpam-5527	543	25	bck	bck	NOUN
ejpam-5527	543	26	-	-	PUNCT
ejpam-5527	543	27	algebras	algebras	PROPN
ejpam-5527	543	28	.	.	PUNCT
ejpam-5527	544	1	discrete	discrete	ADJ
ejpam-5527	544	2	mathematics	mathematic	NOUN
ejpam-5527	544	3	algorithms	algorithm	NOUN
ejpam-5527	544	4	and	and	CCONJ
ejpam-5527	544	5	applications	application	NOUN
ejpam-5527	544	6	,	,	PUNCT
ejpam-5527	544	7	12(2):295998	12(2):295998	NUM
ejpam-5527	544	8	,	,	PUNCT
ejpam-5527	544	9	2019	2019	NUM
ejpam-5527	544	10	.	.	PUNCT
ejpam-5527	545	1	[	[	X
ejpam-5527	545	2	41	41	NUM
ejpam-5527	545	3	]	]	X
ejpam-5527	545	4	g.	g.	PROPN
ejpam-5527	545	5	muhiuddin	muhiuddin	PROPN
ejpam-5527	545	6	,	,	PUNCT
ejpam-5527	545	7	m.m	m.m	PROPN
ejpam-5527	545	8	.	.	PROPN
ejpam-5527	545	9	takallo	takallo	PROPN
ejpam-5527	545	10	,	,	PUNCT
ejpam-5527	545	11	r.a	r.a	PROPN
ejpam-5527	545	12	.	.	PROPN
ejpam-5527	545	13	borzooei	borzooei	PROPN
ejpam-5527	545	14	,	,	PUNCT
ejpam-5527	545	15	and	and	CCONJ
ejpam-5527	545	16	y.b	y.b	PROPN
ejpam-5527	545	17	.	.	PROPN
ejpam-5527	545	18	jun	jun	PROPN
ejpam-5527	545	19	.	.	PROPN
ejpam-5527	546	1	m	m	PROPN
ejpam-5527	546	2	-	-	ADJ
ejpam-5527	546	3	polar	polar	ADJ
ejpam-5527	546	4	fuzzy	fuzzy	ADJ
ejpam-5527	546	5	q	q	NOUN
ejpam-5527	546	6	-	-	PUNCT
ejpam-5527	546	7	ideals	ideal	NOUN
ejpam-5527	546	8	in	in	ADP
ejpam-5527	546	9	bci	bci	NOUN
ejpam-5527	546	10	-	-	PUNCT
ejpam-5527	546	11	algebras	algebras	PROPN
ejpam-5527	546	12	.	.	PUNCT
ejpam-5527	547	1	journal	journal	PROPN
ejpam-5527	547	2	of	of	ADP
ejpam-5527	547	3	king	king	PROPN
ejpam-5527	547	4	saud	saud	PROPN
ejpam-5527	547	5	univeristy	univeristy	PROPN
ejpam-5527	547	6	science	science	NOUN
ejpam-5527	547	7	,	,	PUNCT
ejpam-5527	547	8	32(6):2803–2809	32(6):2803–2809	PROPN
ejpam-5527	547	9	,	,	PUNCT
ejpam-5527	547	10	2020	2020	NUM
ejpam-5527	547	11	.	.	PUNCT
ejpam-5527	548	1	[	[	X
ejpam-5527	548	2	42	42	NUM
ejpam-5527	548	3	]	]	PUNCT
ejpam-5527	548	4	m.	m.	NOUN
ejpam-5527	548	5	mursaleen	mursaleen	PROPN
ejpam-5527	548	6	,	,	PUNCT
ejpam-5527	548	7	m.	m.	NOUN
ejpam-5527	548	8	balamurugan	balamurugan	PROPN
ejpam-5527	548	9	,	,	PUNCT
ejpam-5527	548	10	k.	k.	PROPN
ejpam-5527	548	11	loganathan	loganathan	PROPN
ejpam-5527	548	12	,	,	PUNCT
ejpam-5527	548	13	and	and	CCONJ
ejpam-5527	548	14	k.s	k.s	PROPN
ejpam-5527	548	15	.	.	PROPN
ejpam-5527	548	16	nisar	nisar	PROPN
ejpam-5527	548	17	.	.	PUNCT
ejpam-5527	549	1	(	(	PUNCT
ejpam-5527	549	2	∈,∈	∈,∈	X
ejpam-5527	549	3	∨q̌)-bipolar	∨q̌)-bipolar	ADJ
ejpam-5527	549	4	fuzzy	fuzzy	ADJ
ejpam-5527	549	5	-	-	PUNCT
ejpam-5527	549	6	ideals	ideal	NOUN
ejpam-5527	549	7	of	of	ADP
ejpam-5527	549	8	bck	bck	PROPN
ejpam-5527	549	9	/	/	SYM
ejpam-5527	549	10	bci	bci	NOUN
ejpam-5527	549	11	-	-	PUNCT
ejpam-5527	549	12	algebras	algebras	PROPN
ejpam-5527	549	13	.	.	PUNCT
ejpam-5527	549	14	journal	journal	PROPN
ejpam-5527	549	15	of	of	ADP
ejpam-5527	549	16	function	function	NOUN
ejpam-5527	549	17	spaces	space	NOUN
ejpam-5527	549	18	,	,	PUNCT
ejpam-5527	549	19	(	(	PUNCT
ejpam-5527	549	20	10):6615288	10):6615288	NUM
ejpam-5527	549	21	,	,	PUNCT
ejpam-5527	549	22	2021	2021	NUM
ejpam-5527	549	23	.	.	PUNCT
ejpam-5527	550	1	[	[	X
ejpam-5527	550	2	43	43	NUM
ejpam-5527	550	3	]	]	PUNCT
ejpam-5527	550	4	a.	a.	PROPN
ejpam-5527	550	5	rosenfeld	rosenfeld	PROPN
ejpam-5527	550	6	.	.	PUNCT
ejpam-5527	551	1	fuzzy	fuzzy	ADJ
ejpam-5527	551	2	groups	group	NOUN
ejpam-5527	551	3	.	.	PUNCT
ejpam-5527	552	1	j.	j.	PROPN
ejpam-5527	552	2	math	math	PROPN
ejpam-5527	552	3	.	.	PUNCT
ejpam-5527	553	1	anal	anal	PROPN
ejpam-5527	553	2	.	.	PUNCT
ejpam-5527	554	1	appl	appl	PROPN
ejpam-5527	554	2	.	.	PROPN
ejpam-5527	554	3	,	,	PUNCT
ejpam-5527	554	4	35:512–517	35:512–517	PROPN
ejpam-5527	554	5	,	,	PUNCT
ejpam-5527	554	6	1971	1971	NUM
ejpam-5527	554	7	.	.	PUNCT
ejpam-5527	555	1	[	[	X
ejpam-5527	555	2	44	44	NUM
ejpam-5527	555	3	]	]	SYM
ejpam-5527	555	4	a.b	a.b	PROPN
ejpam-5527	555	5	.	.	PROPN
ejpam-5527	555	6	saeid	saeid	PROPN
ejpam-5527	555	7	.	.	PUNCT
ejpam-5527	556	1	bipolar	bipolar	ADJ
ejpam-5527	556	2	-	-	PUNCT
ejpam-5527	556	3	valued	value	VERB
ejpam-5527	556	4	fuzzy	fuzzy	ADJ
ejpam-5527	556	5	bck	bck	PROPN
ejpam-5527	556	6	/	/	SYM
ejpam-5527	556	7	bci	bci	NOUN
ejpam-5527	556	8	-	-	PUNCT
ejpam-5527	556	9	algebras	algebra	NOUN
ejpam-5527	556	10	.	.	PUNCT
ejpam-5527	557	1	world	world	PROPN
ejpam-5527	557	2	applied	apply	VERB
ejpam-5527	557	3	sci	sci	PROPN
ejpam-5527	557	4	.	.	PUNCT
ejpam-5527	558	1	j.	j.	PROPN
ejpam-5527	558	2	,	,	PUNCT
ejpam-5527	558	3	7(11):1404	7(11):1404	NOUN
ejpam-5527	558	4	–	–	PUNCT
ejpam-5527	558	5	1411	1411	NUM
ejpam-5527	558	6	,	,	PUNCT
ejpam-5527	558	7	2009	2009	NUM
ejpam-5527	558	8	.	.	PUNCT
ejpam-5527	559	1	[	[	X
ejpam-5527	559	2	45	45	NUM
ejpam-5527	559	3	]	]	X
ejpam-5527	559	4	l.a	l.a	PROPN
ejpam-5527	559	5	.	.	PROPN
ejpam-5527	559	6	zadeh	zadeh	PROPN
ejpam-5527	559	7	.	.	PUNCT
ejpam-5527	559	8	fuzzy	fuzzy	ADJ
ejpam-5527	559	9	sets	set	NOUN
ejpam-5527	559	10	.	.	PUNCT
ejpam-5527	560	1	information	information	NOUN
ejpam-5527	560	2	and	and	CCONJ
ejpam-5527	560	3	control	control	NOUN
ejpam-5527	560	4	,	,	PUNCT
ejpam-5527	560	5	8:338–353	8:338–353	NUM
ejpam-5527	560	6	,	,	PUNCT
ejpam-5527	560	7	1965	1965	NUM
ejpam-5527	560	8	.	.	PUNCT
ejpam-5527	561	1	[	[	X
ejpam-5527	561	2	46	46	NUM
ejpam-5527	561	3	]	]	X
ejpam-5527	561	4	w.	w.	PROPN
ejpam-5527	561	5	r.	r.	PROPN
ejpam-5527	561	6	zhang	zhang	PROPN
ejpam-5527	561	7	,	,	PUNCT
ejpam-5527	561	8	l.	l.	PROPN
ejpam-5527	561	9	zhang	zhang	PROPN
ejpam-5527	561	10	,	,	PUNCT
ejpam-5527	561	11	and	and	CCONJ
ejpam-5527	561	12	y.	y.	PROPN
ejpam-5527	561	13	yang	yang	PROPN
ejpam-5527	561	14	.	.	PUNCT
ejpam-5527	562	1	bipolar	bipolar	ADJ
ejpam-5527	562	2	logic	logic	NOUN
ejpam-5527	562	3	and	and	CCONJ
ejpam-5527	562	4	bipolar	bipolar	ADJ
ejpam-5527	562	5	fuzzy	fuzzy	ADJ
ejpam-5527	562	6	logic	logic	NOUN
ejpam-5527	562	7	.	.	PUNCT
ejpam-5527	563	1	inform	inform	NOUN
ejpam-5527	563	2	.	.	PUNCT
ejpam-5527	564	1	sci	sci	PROPN
ejpam-5527	564	2	.	.	PROPN
ejpam-5527	564	3	,	,	PUNCT
ejpam-5527	564	4	165(3):265–287	165(3):265–287	NUM
ejpam-5527	564	5	,	,	PUNCT
ejpam-5527	564	6	2004	2004	NUM
ejpam-5527	564	7	.	.	PUNCT
ejpam-5527	565	1	[	[	X
ejpam-5527	565	2	47	47	NUM
ejpam-5527	565	3	]	]	X
ejpam-5527	565	4	w.r	w.r	PROPN
ejpam-5527	565	5	.	.	PROPN
ejpam-5527	565	6	zhang	zhang	PROPN
ejpam-5527	565	7	.	.	PUNCT
ejpam-5527	565	8	bipolar	bipolar	ADJ
ejpam-5527	565	9	fuzzy	fuzzy	ADJ
ejpam-5527	565	10	sets	set	NOUN
ejpam-5527	565	11	and	and	CCONJ
ejpam-5527	565	12	relations	relation	NOUN
ejpam-5527	565	13	:	:	PUNCT
ejpam-5527	565	14	a	a	DET
ejpam-5527	565	15	computational	computational	ADJ
ejpam-5527	565	16	framework	framework	NOUN
ejpam-5527	565	17	for	for	ADP
ejpam-5527	565	18	cognitive	cognitive	ADJ
ejpam-5527	565	19	and	and	CCONJ
ejpam-5527	565	20	modeling	modeling	NOUN
ejpam-5527	565	21	and	and	CCONJ
ejpam-5527	565	22	multiagent	multiagent	ADJ
ejpam-5527	565	23	decision	decision	NOUN
ejpam-5527	565	24	analysis	analysis	NOUN
ejpam-5527	565	25	.	.	PUNCT
ejpam-5527	566	1	proc	proc	NOUN
ejpam-5527	566	2	.	.	PUNCT
ejpam-5527	567	1	of	of	ADP
ejpam-5527	567	2	ieee	ieee	NOUN
ejpam-5527	567	3	conf	conf	NOUN
ejpam-5527	567	4	.	.	PROPN
ejpam-5527	567	5	,	,	PUNCT
ejpam-5527	567	6	2:305–309	2:305–309	NUM
ejpam-5527	567	7	,	,	PUNCT
ejpam-5527	567	8	1994	1994	NUM
ejpam-5527	567	9	.	.	PUNCT