id	sid	tid	token	lemma	pos
ejpam-3735	1	1	european	european	PROPN
ejpam-3735	1	2	journal	journal	PROPN
ejpam-3735	1	3	of	of	ADP
ejpam-3735	1	4	pure	pure	ADJ
ejpam-3735	1	5	and	and	CCONJ
ejpam-3735	1	6	applied	apply	VERB
ejpam-3735	1	7	mathematics	mathematic	NOUN
ejpam-3735	1	8	vol	vol	NOUN
ejpam-3735	1	9	.	.	PROPN
ejpam-3735	2	1	13	13	NUM
ejpam-3735	2	2	,	,	PUNCT
ejpam-3735	2	3	no	no	INTJ
ejpam-3735	2	4	.	.	NOUN
ejpam-3735	2	5	3	3	NUM
ejpam-3735	2	6	,	,	PUNCT
ejpam-3735	2	7	2020	2020	NUM
ejpam-3735	2	8	,	,	PUNCT
ejpam-3735	2	9	498	498	NUM
ejpam-3735	2	10	-	-	SYM
ejpam-3735	2	11	512	512	NUM
ejpam-3735	2	12	issn	issn	PROPN
ejpam-3735	2	13	1307	1307	NUM
ejpam-3735	2	14	-	-	SYM
ejpam-3735	2	15	5543	5543	NUM
ejpam-3735	2	16	–	–	PUNCT
ejpam-3735	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3735	2	18	published	publish	VERB
ejpam-3735	2	19	by	by	ADP
ejpam-3735	2	20	new	new	PROPN
ejpam-3735	2	21	york	york	PROPN
ejpam-3735	2	22	business	business	PROPN
ejpam-3735	2	23	global	global	PROPN
ejpam-3735	2	24	the	the	DET
ejpam-3735	2	25	structure	structure	NOUN
ejpam-3735	2	26	of	of	ADP
ejpam-3735	2	27	pseudo	pseudo	NOUN
ejpam-3735	2	28	-	-	PUNCT
ejpam-3735	2	29	bf	bf	NOUN
ejpam-3735	2	30	/	/	SYM
ejpam-3735	2	31	bf	bf	NOUN
ejpam-3735	2	32	∗-algebra	∗-algebra	NOUN
ejpam-3735	2	33	hessah	hessah	PROPN
ejpam-3735	2	34	m.	m.	NOUN
ejpam-3735	2	35	al	al	PROPN
ejpam-3735	2	36	-	-	PUNCT
ejpam-3735	2	37	malki1	malki1	PROPN
ejpam-3735	2	38	,	,	PUNCT
ejpam-3735	2	39	deena	deena	PROPN
ejpam-3735	2	40	s.	s.	PROPN
ejpam-3735	2	41	al	al	PROPN
ejpam-3735	2	42	-	-	PUNCT
ejpam-3735	2	43	kadi1,∗	kadi1,∗	NOUN
ejpam-3735	2	44	1	1	NUM
ejpam-3735	2	45	department	department	NOUN
ejpam-3735	2	46	of	of	ADP
ejpam-3735	2	47	mathematics	mathematic	NOUN
ejpam-3735	2	48	and	and	CCONJ
ejpam-3735	2	49	statistics	statistic	NOUN
ejpam-3735	2	50	,	,	PUNCT
ejpam-3735	2	51	faculty	faculty	NOUN
ejpam-3735	2	52	of	of	ADP
ejpam-3735	2	53	science	science	NOUN
ejpam-3735	2	54	,	,	PUNCT
ejpam-3735	2	55	taif	taif	PROPN
ejpam-3735	2	56	university	university	PROPN
ejpam-3735	2	57	,	,	PUNCT
ejpam-3735	2	58	taif	taif	PROPN
ejpam-3735	2	59	,	,	PUNCT
ejpam-3735	2	60	saudi	saudi	PROPN
ejpam-3735	2	61	arabia	arabia	PROPN
ejpam-3735	2	62	abstract	abstract	NOUN
ejpam-3735	2	63	.	.	PUNCT
ejpam-3735	3	1	in	in	ADP
ejpam-3735	3	2	this	this	DET
ejpam-3735	3	3	paper	paper	NOUN
ejpam-3735	3	4	,	,	PUNCT
ejpam-3735	3	5	we	we	PRON
ejpam-3735	3	6	study	study	VERB
ejpam-3735	3	7	the	the	DET
ejpam-3735	3	8	structure	structure	NOUN
ejpam-3735	3	9	of	of	ADP
ejpam-3735	3	10	pseudo	pseudo	NOUN
ejpam-3735	3	11	-	-	PUNCT
ejpam-3735	3	12	bf	bf	NOUN
ejpam-3735	3	13	/	/	SYM
ejpam-3735	3	14	bf	bf	NOUN
ejpam-3735	3	15	∗-algebra	∗-algebra	NOUN
ejpam-3735	3	16	as	as	ADP
ejpam-3735	3	17	a	a	DET
ejpam-3735	3	18	generalization	generalization	NOUN
ejpam-3735	3	19	of	of	ADP
ejpam-3735	3	20	bf	bf	NOUN
ejpam-3735	3	21	-algebra	-algebra	PROPN
ejpam-3735	3	22	.	.	PUNCT
ejpam-3735	4	1	we	we	PRON
ejpam-3735	4	2	show	show	VERB
ejpam-3735	4	3	how	how	SCONJ
ejpam-3735	4	4	pseudo	pseudo	NOUN
ejpam-3735	4	5	-	-	PUNCT
ejpam-3735	4	6	bf	bf	NOUN
ejpam-3735	4	7	/	/	SYM
ejpam-3735	4	8	bf	bf	NOUN
ejpam-3735	4	9	∗-algebra	∗-algebra	NOUN
ejpam-3735	4	10	and	and	CCONJ
ejpam-3735	4	11	pseudo	pseudo	NOUN
ejpam-3735	4	12	-	-	ADJ
ejpam-3735	4	13	bck	bck	NOUN
ejpam-3735	4	14	-	-	PUNCT
ejpam-3735	4	15	algebra	algebra	NOUN
ejpam-3735	4	16	are	be	AUX
ejpam-3735	4	17	related	relate	VERB
ejpam-3735	4	18	.	.	PUNCT
ejpam-3735	5	1	we	we	PRON
ejpam-3735	5	2	study	study	VERB
ejpam-3735	5	3	some	some	DET
ejpam-3735	5	4	elementary	elementary	ADJ
ejpam-3735	5	5	properties	property	NOUN
ejpam-3735	5	6	related	relate	VERB
ejpam-3735	5	7	to	to	ADP
ejpam-3735	5	8	pseudo	pseudo	NOUN
ejpam-3735	5	9	-	-	PUNCT
ejpam-3735	5	10	bf	bf	NOUN
ejpam-3735	5	11	-algebra	-algebra	NOUN
ejpam-3735	5	12	and	and	CCONJ
ejpam-3735	5	13	pseudo	pseudo	NOUN
ejpam-3735	5	14	-	-	NOUN
ejpam-3735	5	15	bf	bf	NOUN
ejpam-3735	5	16	∗-algebra	∗-algebra	NOUN
ejpam-3735	5	17	.	.	PUNCT
ejpam-3735	6	1	2020	2020	NUM
ejpam-3735	6	2	mathematics	mathematic	NOUN
ejpam-3735	6	3	subject	subject	NOUN
ejpam-3735	6	4	classifications	classification	NOUN
ejpam-3735	6	5	:	:	PUNCT
ejpam-3735	6	6	06f35	06f35	NUM
ejpam-3735	6	7	,	,	PUNCT
ejpam-3735	6	8	03g25	03g25	NOUN
ejpam-3735	6	9	key	key	ADJ
ejpam-3735	6	10	words	word	NOUN
ejpam-3735	6	11	and	and	CCONJ
ejpam-3735	6	12	phrases	phrase	NOUN
ejpam-3735	6	13	:	:	PUNCT
ejpam-3735	6	14	pseudo	pseudo	NOUN
ejpam-3735	6	15	-	-	PUNCT
ejpam-3735	6	16	bf	bf	NOUN
ejpam-3735	6	17	-algebra	-algebra	NOUN
ejpam-3735	6	18	,	,	PUNCT
ejpam-3735	6	19	pseudo	pseudo	NOUN
ejpam-3735	6	20	-	-	NOUN
ejpam-3735	6	21	bf	bf	NOUN
ejpam-3735	6	22	∗-algebra	∗-algebra	NOUN
ejpam-3735	6	23	,	,	PUNCT
ejpam-3735	6	24	pseudo	pseudo	NOUN
ejpam-3735	6	25	-	-	NOUN
ejpam-3735	6	26	ideal	ideal	ADJ
ejpam-3735	6	27	,	,	PUNCT
ejpam-3735	6	28	pseudoatoms	pseudoatom	NOUN
ejpam-3735	6	29	.	.	PUNCT
ejpam-3735	7	1	1	1	X
ejpam-3735	7	2	.	.	X
ejpam-3735	7	3	introduction	introduction	NOUN
ejpam-3735	7	4	through	through	ADP
ejpam-3735	7	5	the	the	DET
ejpam-3735	7	6	work	work	NOUN
ejpam-3735	7	7	of	of	ADP
ejpam-3735	7	8	the	the	DET
ejpam-3735	7	9	japanese	japanese	PROPN
ejpam-3735	7	10	mathematicians	mathematicians	PROPN
ejpam-3735	7	11	imai	imai	PROPN
ejpam-3735	7	12	and	and	CCONJ
ejpam-3735	7	13	iseki	iseki	VERB
ejpam-3735	7	14	the	the	DET
ejpam-3735	7	15	notions	notion	NOUN
ejpam-3735	7	16	of	of	ADP
ejpam-3735	7	17	bck	bck	PROPN
ejpam-3735	7	18	/	/	SYM
ejpam-3735	7	19	bci	bci	NOUN
ejpam-3735	7	20	-	-	NOUN
ejpam-3735	7	21	algebra	algebra	NOUN
ejpam-3735	7	22	were	be	AUX
ejpam-3735	7	23	introduced	introduce	VERB
ejpam-3735	7	24	(	(	PUNCT
ejpam-3735	7	25	see	see	VERB
ejpam-3735	7	26	[	[	X
ejpam-3735	7	27	7	7	X
ejpam-3735	7	28	]	]	PUNCT
ejpam-3735	7	29	and	and	CCONJ
ejpam-3735	7	30	[	[	X
ejpam-3735	7	31	8	8	NUM
ejpam-3735	7	32	]	]	NUM
ejpam-3735	7	33	)	)	PUNCT
ejpam-3735	7	34	.	.	PUNCT
ejpam-3735	8	1	neggers	negger	NOUN
ejpam-3735	8	2	and	and	CCONJ
ejpam-3735	8	3	sik	sik	CCONJ
ejpam-3735	8	4	introduced	introduce	VERB
ejpam-3735	8	5	the	the	DET
ejpam-3735	8	6	concept	concept	NOUN
ejpam-3735	8	7	of	of	ADP
ejpam-3735	8	8	b	b	NOUN
ejpam-3735	8	9	-	-	PUNCT
ejpam-3735	8	10	algebra	algebra	NOUN
ejpam-3735	8	11	,	,	PUNCT
ejpam-3735	8	12	and	and	CCONJ
ejpam-3735	8	13	obtained	obtain	VERB
ejpam-3735	8	14	several	several	ADJ
ejpam-3735	8	15	results	result	NOUN
ejpam-3735	8	16	(	(	PUNCT
ejpam-3735	8	17	we	we	PRON
ejpam-3735	8	18	refer	refer	VERB
ejpam-3735	8	19	the	the	DET
ejpam-3735	8	20	reader	reader	NOUN
ejpam-3735	8	21	to	to	ADP
ejpam-3735	8	22	[	[	X
ejpam-3735	8	23	13	13	NUM
ejpam-3735	8	24	]	]	PUNCT
ejpam-3735	8	25	for	for	ADP
ejpam-3735	8	26	more	more	ADJ
ejpam-3735	8	27	details	detail	NOUN
ejpam-3735	8	28	)	)	PUNCT
ejpam-3735	8	29	.	.	PUNCT
ejpam-3735	9	1	in	in	ADP
ejpam-3735	9	2	[	[	X
ejpam-3735	9	3	17	17	NUM
ejpam-3735	9	4	]	]	PUNCT
ejpam-3735	9	5	,	,	PUNCT
ejpam-3735	9	6	walendziak	walendziak	PROPN
ejpam-3735	9	7	introduced	introduce	VERB
ejpam-3735	9	8	a	a	DET
ejpam-3735	9	9	generalization	generalization	NOUN
ejpam-3735	9	10	of	of	ADP
ejpam-3735	9	11	b	b	NOUN
ejpam-3735	9	12	-	-	PUNCT
ejpam-3735	9	13	algebra	algebra	NOUN
ejpam-3735	9	14	named	name	VERB
ejpam-3735	9	15	bf	bf	NOUN
ejpam-3735	9	16	-algebra	-algebra	NOUN
ejpam-3735	9	17	and	and	CCONJ
ejpam-3735	9	18	investigated	investigate	VERB
ejpam-3735	9	19	some	some	DET
ejpam-3735	9	20	properties	property	NOUN
ejpam-3735	9	21	of	of	ADP
ejpam-3735	9	22	ideals	ideal	NOUN
ejpam-3735	9	23	and	and	CCONJ
ejpam-3735	9	24	normal	normal	ADJ
ejpam-3735	9	25	-	-	PUNCT
ejpam-3735	9	26	ideals	ideal	NOUN
ejpam-3735	9	27	in	in	ADP
ejpam-3735	9	28	bf	bf	NOUN
ejpam-3735	9	29	-algebra	-algebra	NOUN
ejpam-3735	9	30	and	and	CCONJ
ejpam-3735	9	31	gave	give	VERB
ejpam-3735	9	32	some	some	DET
ejpam-3735	9	33	characterization	characterization	NOUN
ejpam-3735	9	34	of	of	ADP
ejpam-3735	9	35	them	they	PRON
ejpam-3735	9	36	.	.	PUNCT
ejpam-3735	10	1	in	in	ADP
ejpam-3735	10	2	[	[	X
ejpam-3735	10	3	6	6	NUM
ejpam-3735	10	4	]	]	PUNCT
ejpam-3735	10	5	,	,	PUNCT
ejpam-3735	10	6	georgescu	georgescu	NOUN
ejpam-3735	10	7	and	and	CCONJ
ejpam-3735	10	8	iorgulescu	iorgulescu	NOUN
ejpam-3735	10	9	introduced	introduce	VERB
ejpam-3735	10	10	an	an	DET
ejpam-3735	10	11	extension	extension	NOUN
ejpam-3735	10	12	of	of	ADP
ejpam-3735	10	13	bck	bck	NOUN
ejpam-3735	10	14	-	-	PUNCT
ejpam-3735	10	15	algebra	algebra	NOUN
ejpam-3735	10	16	called	call	VERB
ejpam-3735	10	17	pseudo	pseudo	NOUN
ejpam-3735	10	18	-	-	ADJ
ejpam-3735	10	19	bck	bck	NOUN
ejpam-3735	10	20	-	-	PUNCT
ejpam-3735	10	21	algebra	algebra	NOUN
ejpam-3735	10	22	.	.	PUNCT
ejpam-3735	11	1	moreover	moreover	ADV
ejpam-3735	11	2	,	,	PUNCT
ejpam-3735	11	3	they	they	PRON
ejpam-3735	11	4	gave	give	VERB
ejpam-3735	11	5	the	the	DET
ejpam-3735	11	6	connection	connection	NOUN
ejpam-3735	11	7	of	of	ADP
ejpam-3735	11	8	pseudo	pseudo	NOUN
ejpam-3735	11	9	-	-	ADJ
ejpam-3735	11	10	bck	bck	NOUN
ejpam-3735	11	11	-	-	PUNCT
ejpam-3735	11	12	algebra	algebra	NOUN
ejpam-3735	11	13	with	with	ADP
ejpam-3735	11	14	pseudo	pseudo	NOUN
ejpam-3735	11	15	-	-	ADJ
ejpam-3735	11	16	mv	mv	ADJ
ejpam-3735	11	17	-algebra	-algebra	NOUN
ejpam-3735	11	18	and	and	CCONJ
ejpam-3735	11	19	with	with	ADP
ejpam-3735	11	20	pseudo	pseudo	NOUN
ejpam-3735	11	21	-	-	PUNCT
ejpam-3735	11	22	bl	bl	NOUN
ejpam-3735	11	23	-	-	PUNCT
ejpam-3735	11	24	algebra	algebra	NOUN
ejpam-3735	11	25	.	.	PUNCT
ejpam-3735	12	1	dudek	dudek	PROPN
ejpam-3735	12	2	and	and	CCONJ
ejpam-3735	12	3	jun	jun	PROPN
ejpam-3735	12	4	introduced	introduce	VERB
ejpam-3735	12	5	the	the	DET
ejpam-3735	12	6	notion	notion	NOUN
ejpam-3735	12	7	pseudo	pseudo	NOUN
ejpam-3735	12	8	-	-	ADJ
ejpam-3735	12	9	bci	bci	NOUN
ejpam-3735	12	10	-	-	NOUN
ejpam-3735	12	11	algebra	algebra	NOUN
ejpam-3735	12	12	as	as	ADP
ejpam-3735	12	13	a	a	DET
ejpam-3735	12	14	natural	natural	ADJ
ejpam-3735	12	15	generalization	generalization	NOUN
ejpam-3735	12	16	of	of	ADP
ejpam-3735	12	17	bcialgebra	bcialgebra	PROPN
ejpam-3735	12	18	and	and	CCONJ
ejpam-3735	12	19	of	of	ADP
ejpam-3735	12	20	pseudo	pseudo	NOUN
ejpam-3735	12	21	-	-	ADJ
ejpam-3735	12	22	bck	bck	NOUN
ejpam-3735	12	23	-	-	PUNCT
ejpam-3735	12	24	algebra	algebra	NOUN
ejpam-3735	12	25	and	and	CCONJ
ejpam-3735	12	26	investigated	investigate	VERB
ejpam-3735	12	27	some	some	PRON
ejpam-3735	12	28	of	of	ADP
ejpam-3735	12	29	their	their	PRON
ejpam-3735	12	30	properties	property	NOUN
ejpam-3735	12	31	.	.	PUNCT
ejpam-3735	13	1	they	they	PRON
ejpam-3735	13	2	gave	give	VERB
ejpam-3735	13	3	some	some	DET
ejpam-3735	13	4	conditions	condition	NOUN
ejpam-3735	13	5	for	for	ADP
ejpam-3735	13	6	a	a	DET
ejpam-3735	13	7	pseudo	pseudo	NOUN
ejpam-3735	13	8	-	-	ADJ
ejpam-3735	13	9	bci	bci	NOUN
ejpam-3735	13	10	-	-	NOUN
ejpam-3735	13	11	algebra	algebra	NOUN
ejpam-3735	13	12	to	to	PART
ejpam-3735	13	13	be	be	AUX
ejpam-3735	13	14	a	a	DET
ejpam-3735	13	15	pseudo	pseudo	NOUN
ejpam-3735	13	16	-	-	ADJ
ejpam-3735	13	17	bck	bck	NOUN
ejpam-3735	13	18	-	-	PUNCT
ejpam-3735	13	19	algebra	algebra	NOUN
ejpam-3735	13	20	(	(	PUNCT
ejpam-3735	13	21	see	see	VERB
ejpam-3735	13	22	[	[	X
ejpam-3735	13	23	4	4	X
ejpam-3735	13	24	]	]	PUNCT
ejpam-3735	13	25	for	for	ADP
ejpam-3735	13	26	more	more	ADJ
ejpam-3735	13	27	details	detail	NOUN
ejpam-3735	13	28	)	)	PUNCT
ejpam-3735	13	29	.	.	PUNCT
ejpam-3735	14	1	in	in	ADP
ejpam-3735	14	2	[	[	X
ejpam-3735	14	3	10	10	NUM
ejpam-3735	14	4	]	]	PUNCT
ejpam-3735	14	5	,	,	PUNCT
ejpam-3735	14	6	jun	jun	PROPN
ejpam-3735	14	7	,	,	PUNCT
ejpam-3735	14	8	kim	kim	PROPN
ejpam-3735	14	9	and	and	CCONJ
ejpam-3735	14	10	neggers	negger	NOUN
ejpam-3735	14	11	studied	study	VERB
ejpam-3735	14	12	pseudo	pseudo	NOUN
ejpam-3735	14	13	-	-	NOUN
ejpam-3735	14	14	atoms	atom	NOUN
ejpam-3735	14	15	,	,	PUNCT
ejpam-3735	14	16	pseudo	pseudo	NOUN
ejpam-3735	14	17	-	-	NOUN
ejpam-3735	14	18	ideals	ideal	NOUN
ejpam-3735	14	19	and	and	CCONJ
ejpam-3735	14	20	pseudo	pseudo	NOUN
ejpam-3735	14	21	-	-	PUNCT
ejpam-3735	14	22	homomorphisms	homomorphism	NOUN
ejpam-3735	14	23	in	in	ADP
ejpam-3735	14	24	pseudo	pseudo	NOUN
ejpam-3735	14	25	-	-	ADJ
ejpam-3735	14	26	bci	bci	NOUN
ejpam-3735	14	27	-	-	NOUN
ejpam-3735	14	28	algebra	algebra	NOUN
ejpam-3735	14	29	.	.	PUNCT
ejpam-3735	15	1	in	in	ADP
ejpam-3735	15	2	[	[	X
ejpam-3735	15	3	12	12	NUM
ejpam-3735	15	4	]	]	PUNCT
ejpam-3735	15	5	,	,	PUNCT
ejpam-3735	15	6	kim	kim	PROPN
ejpam-3735	15	7	and	and	CCONJ
ejpam-3735	15	8	so	so	ADV
ejpam-3735	15	9	discussed	discuss	VERB
ejpam-3735	15	10	minimality	minimality	NOUN
ejpam-3735	15	11	on	on	ADP
ejpam-3735	15	12	elements	element	NOUN
ejpam-3735	15	13	in	in	ADP
ejpam-3735	15	14	pseudo	pseudo	NOUN
ejpam-3735	15	15	-	-	ADJ
ejpam-3735	15	16	bci	bci	NOUN
ejpam-3735	15	17	-	-	NOUN
ejpam-3735	15	18	algebra	algebra	NOUN
ejpam-3735	15	19	and	and	CCONJ
ejpam-3735	15	20	concluded	conclude	VERB
ejpam-3735	15	21	some	some	PRON
ejpam-3735	15	22	of	of	ADP
ejpam-3735	15	23	the	the	DET
ejpam-3735	15	24	properties	property	NOUN
ejpam-3735	15	25	in	in	ADP
ejpam-3735	15	26	b	b	NOUN
ejpam-3735	15	27	-	-	PUNCT
ejpam-3735	15	28	algebra	algebra	NOUN
ejpam-3735	15	29	.	.	PUNCT
ejpam-3735	16	1	walendziak	walendziak	PROPN
ejpam-3735	16	2	in	in	ADP
ejpam-3735	16	3	[	[	X
ejpam-3735	16	4	18	18	NUM
ejpam-3735	16	5	]	]	PUNCT
ejpam-3735	16	6	introduced	introduce	VERB
ejpam-3735	16	7	the	the	DET
ejpam-3735	16	8	notion	notion	NOUN
ejpam-3735	16	9	of	of	ADP
ejpam-3735	16	10	pseudo	pseudo	NOUN
ejpam-3735	16	11	-	-	ADJ
ejpam-3735	16	12	bch	bch	NOUN
ejpam-3735	16	13	-	-	PUNCT
ejpam-3735	16	14	algebra	algebra	NOUN
ejpam-3735	16	15	and	and	CCONJ
ejpam-3735	16	16	investigated	investigate	VERB
ejpam-3735	16	17	some	some	DET
ejpam-3735	16	18	properties	property	NOUN
ejpam-3735	16	19	and	and	CCONJ
ejpam-3735	16	20	gave	give	VERB
ejpam-3735	16	21	conditions	condition	NOUN
ejpam-3735	16	22	to	to	ADP
ejpam-3735	16	23	when	when	SCONJ
ejpam-3735	16	24	a	a	DET
ejpam-3735	16	25	pseudo	pseudo	NOUN
ejpam-3735	16	26	-	-	ADJ
ejpam-3735	16	27	bch	bch	NOUN
ejpam-3735	16	28	-	-	PUNCT
ejpam-3735	16	29	algebra	algebra	NOUN
ejpam-3735	16	30	be	be	VERB
ejpam-3735	16	31	a	a	DET
ejpam-3735	16	32	pseudo	pseudo	NOUN
ejpam-3735	16	33	-	-	ADJ
ejpam-3735	16	34	bci	bci	NOUN
ejpam-3735	16	35	-	-	NOUN
ejpam-3735	16	36	algebra	algebra	NOUN
ejpam-3735	16	37	.	.	PUNCT
ejpam-3735	17	1	the	the	DET
ejpam-3735	17	2	authors	author	NOUN
ejpam-3735	17	3	g.	g.	PROPN
ejpam-3735	17	4	georgescu	georgescu	PROPN
ejpam-3735	17	5	and	and	CCONJ
ejpam-3735	17	6	a.	a.	NOUN
ejpam-3735	17	7	iorgulescu	iorgulescu	NOUN
ejpam-3735	17	8	in	in	ADP
ejpam-3735	17	9	[	[	X
ejpam-3735	17	10	5	5	NUM
ejpam-3735	17	11	]	]	PUNCT
ejpam-3735	17	12	,	,	PUNCT
ejpam-3735	17	13	and	and	CCONJ
ejpam-3735	17	14	independently	independently	ADV
ejpam-3735	17	15	rachunek	rachunek	ADJ
ejpam-3735	17	16	in	in	ADP
ejpam-3735	17	17	[	[	X
ejpam-3735	17	18	15	15	NUM
ejpam-3735	17	19	]	]	PUNCT
ejpam-3735	17	20	,	,	PUNCT
ejpam-3735	17	21	∗corresponding	∗corresponde	VERB
ejpam-3735	17	22	author	author	NOUN
ejpam-3735	17	23	.	.	PUNCT
ejpam-3735	18	1	doi	doi	NOUN
ejpam-3735	18	2	:	:	PUNCT
ejpam-3735	18	3	https://doi.org/10.29020/nybg.ejpam.v13i3.3735	https://doi.org/10.29020/nybg.ejpam.v13i3.3735	NOUN
ejpam-3735	18	4	email	email	NOUN
ejpam-3735	18	5	addresses	address	NOUN
ejpam-3735	18	6	:	:	PUNCT
ejpam-3735	18	7	dak12le@hotmail.co.uk	dak12le@hotmail.co.uk	PROPN
ejpam-3735	18	8	(	(	PUNCT
ejpam-3735	18	9	deena	deena	PROPN
ejpam-3735	18	10	s.	s.	PROPN
ejpam-3735	18	11	al	al	PROPN
ejpam-3735	18	12	-	-	PUNCT
ejpam-3735	18	13	kadi	kadi	PROPN
ejpam-3735	18	14	)	)	PUNCT
ejpam-3735	18	15	,	,	PUNCT
ejpam-3735	18	16	hhhmmm9999@hotmail.com	hhhmmm9999@hotmail.com	X
ejpam-3735	18	17	(	(	PUNCT
ejpam-3735	18	18	hessah	hessah	PROPN
ejpam-3735	18	19	m.	m.	NOUN
ejpam-3735	18	20	al	al	PROPN
ejpam-3735	18	21	-	-	PUNCT
ejpam-3735	18	22	malki	malki	PROPN
ejpam-3735	18	23	)	)	PUNCT
ejpam-3735	18	24	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-3735	18	25	498	498	NUM
ejpam-3735	19	1	c	c	NOUN
ejpam-3735	19	2	©	©	NOUN
ejpam-3735	19	3	2020	2020	NUM
ejpam-3735	19	4	ejpam	ejpam	VERB
ejpam-3735	19	5	all	all	DET
ejpam-3735	19	6	rights	right	NOUN
ejpam-3735	19	7	reserved	reserve	VERB
ejpam-3735	19	8	.	.	PUNCT
ejpam-3735	20	1	h.	h.	PROPN
ejpam-3735	20	2	m.	m.	PROPN
ejpam-3735	21	1	al	al	PROPN
ejpam-3735	21	2	-	-	PUNCT
ejpam-3735	21	3	malki	malki	PROPN
ejpam-3735	21	4	,	,	PUNCT
ejpam-3735	21	5	d.	d.	PROPN
ejpam-3735	21	6	s.	s.	PROPN
ejpam-3735	21	7	al	al	PROPN
ejpam-3735	21	8	-	-	PUNCT
ejpam-3735	21	9	kadi	kadi	PROPN
ejpam-3735	21	10	/	/	SYM
ejpam-3735	21	11	eur	eur	PROPN
ejpam-3735	21	12	.	.	PUNCT
ejpam-3735	22	1	j.	j.	PROPN
ejpam-3735	22	2	pure	pure	PROPN
ejpam-3735	22	3	appl	appl	PROPN
ejpam-3735	22	4	.	.	PROPN
ejpam-3735	22	5	math	math	PROPN
ejpam-3735	22	6	,	,	PUNCT
ejpam-3735	22	7	13	13	NUM
ejpam-3735	22	8	(	(	PUNCT
ejpam-3735	22	9	3	3	NUM
ejpam-3735	22	10	)	)	PUNCT
ejpam-3735	22	11	(	(	PUNCT
ejpam-3735	22	12	2020	2020	NUM
ejpam-3735	22	13	)	)	PUNCT
ejpam-3735	22	14	,	,	PUNCT
ejpam-3735	22	15	498	498	NUM
ejpam-3735	22	16	-	-	SYM
ejpam-3735	22	17	512	512	NUM
ejpam-3735	22	18	499	499	NUM
ejpam-3735	22	19	studied	study	VERB
ejpam-3735	22	20	a	a	DET
ejpam-3735	22	21	non	non	ADJ
ejpam-3735	22	22	-	-	ADJ
ejpam-3735	22	23	commutative	commutative	ADJ
ejpam-3735	22	24	generalization	generalization	NOUN
ejpam-3735	22	25	of	of	ADP
ejpam-3735	22	26	the	the	DET
ejpam-3735	22	27	mv	mv	PROPN
ejpam-3735	22	28	-algebra	-algebra	PROPN
ejpam-3735	22	29	named	name	VERB
ejpam-3735	22	30	pseudo	pseudo	NOUN
ejpam-3735	22	31	-	-	ADJ
ejpam-3735	22	32	mv	mv	ADJ
ejpam-3735	22	33	-algebra	-algebra	NOUN
ejpam-3735	22	34	.	.	PUNCT
ejpam-3735	23	1	in	in	ADP
ejpam-3735	23	2	[	[	X
ejpam-3735	23	3	16	16	NUM
ejpam-3735	23	4	]	]	PUNCT
ejpam-3735	23	5	,	,	PUNCT
ejpam-3735	23	6	pseudo	pseudo	NOUN
ejpam-3735	23	7	-	-	PUNCT
ejpam-3735	23	8	bl	bl	NOUN
ejpam-3735	23	9	-	-	PUNCT
ejpam-3735	23	10	algebra	algebra	NOUN
ejpam-3735	23	11	was	be	AUX
ejpam-3735	23	12	introduced	introduce	VERB
ejpam-3735	23	13	as	as	ADP
ejpam-3735	23	14	a	a	DET
ejpam-3735	23	15	generalization	generalization	NOUN
ejpam-3735	23	16	of	of	ADP
ejpam-3735	23	17	bl	bl	NOUN
ejpam-3735	23	18	-	-	PUNCT
ejpam-3735	23	19	algebra	algebra	PROPN
ejpam-3735	23	20	and	and	CCONJ
ejpam-3735	23	21	pseudomv	pseudomv	ADJ
ejpam-3735	23	22	-algebra	-algebra	NOUN
ejpam-3735	23	23	and	and	CCONJ
ejpam-3735	23	24	basic	basic	ADJ
ejpam-3735	23	25	properties	property	NOUN
ejpam-3735	23	26	,	,	PUNCT
ejpam-3735	23	27	filters	filter	NOUN
ejpam-3735	23	28	,	,	PUNCT
ejpam-3735	23	29	normal	normal	ADJ
ejpam-3735	23	30	-	-	PUNCT
ejpam-3735	23	31	filters	filter	NOUN
ejpam-3735	23	32	and	and	CCONJ
ejpam-3735	23	33	congruences	congruence	NOUN
ejpam-3735	23	34	were	be	AUX
ejpam-3735	23	35	given	give	VERB
ejpam-3735	23	36	.	.	PUNCT
ejpam-3735	23	37	di	di	PROPN
ejpam-3735	23	38	nola	nola	PROPN
ejpam-3735	23	39	,	,	PUNCT
ejpam-3735	23	40	georgescu	georgescu	NOUN
ejpam-3735	23	41	and	and	CCONJ
ejpam-3735	23	42	iorgulescu	iorgulescu	NOUN
ejpam-3735	23	43	,	,	PUNCT
ejpam-3735	23	44	in	in	ADP
ejpam-3735	23	45	[	[	X
ejpam-3735	23	46	14	14	NUM
ejpam-3735	23	47	]	]	PUNCT
ejpam-3735	23	48	,	,	PUNCT
ejpam-3735	23	49	investigated	investigate	VERB
ejpam-3735	23	50	pseudo	pseudo	NOUN
ejpam-3735	23	51	-	-	PUNCT
ejpam-3735	23	52	bl	bl	NOUN
ejpam-3735	23	53	-	-	PUNCT
ejpam-3735	23	54	algebra	algebra	NOUN
ejpam-3735	23	55	including	include	VERB
ejpam-3735	23	56	definition	definition	NOUN
ejpam-3735	23	57	,	,	PUNCT
ejpam-3735	23	58	basic	basic	ADJ
ejpam-3735	23	59	properties	property	NOUN
ejpam-3735	23	60	,	,	PUNCT
ejpam-3735	23	61	filters	filter	NOUN
ejpam-3735	23	62	,	,	PUNCT
ejpam-3735	23	63	normal	normal	ADJ
ejpam-3735	23	64	-	-	PUNCT
ejpam-3735	23	65	filters	filter	NOUN
ejpam-3735	23	66	and	and	CCONJ
ejpam-3735	23	67	congruences	congruence	NOUN
ejpam-3735	23	68	.	.	PUNCT
ejpam-3735	24	1	moreover	moreover	ADV
ejpam-3735	24	2	,	,	PUNCT
ejpam-3735	24	3	they	they	PRON
ejpam-3735	24	4	gave	give	VERB
ejpam-3735	24	5	some	some	DET
ejpam-3735	24	6	important	important	ADJ
ejpam-3735	24	7	classes	class	NOUN
ejpam-3735	24	8	of	of	ADP
ejpam-3735	24	9	pseudo	pseudo	NOUN
ejpam-3735	24	10	-	-	PUNCT
ejpam-3735	24	11	bl	bl	NOUN
ejpam-3735	24	12	-	-	PUNCT
ejpam-3735	24	13	algebra	algebra	NOUN
ejpam-3735	24	14	and	and	CCONJ
ejpam-3735	24	15	some	some	DET
ejpam-3735	24	16	results	result	NOUN
ejpam-3735	24	17	concerning	concern	VERB
ejpam-3735	24	18	the	the	DET
ejpam-3735	24	19	pseudobl	pseudobl	NOUN
ejpam-3735	24	20	-	-	PUNCT
ejpam-3735	24	21	chains	chain	NOUN
ejpam-3735	24	22	.	.	PUNCT
ejpam-3735	25	1	in	in	ADP
ejpam-3735	25	2	[	[	X
ejpam-3735	25	3	11	11	NUM
ejpam-3735	25	4	]	]	SYM
ejpam-3735	25	5	,	,	PUNCT
ejpam-3735	25	6	jun	jun	PROPN
ejpam-3735	25	7	,	,	PUNCT
ejpam-3735	25	8	kim	kim	PROPN
ejpam-3735	25	9	and	and	CCONJ
ejpam-3735	25	10	neggers	negger	NOUN
ejpam-3735	25	11	introduced	introduce	VERB
ejpam-3735	25	12	the	the	DET
ejpam-3735	25	13	notion	notion	NOUN
ejpam-3735	25	14	of	of	ADP
ejpam-3735	25	15	pseudo	pseudo	NOUN
ejpam-3735	25	16	-	-	NOUN
ejpam-3735	25	17	d	d	NOUN
ejpam-3735	25	18	-	-	NOUN
ejpam-3735	25	19	algebra	algebra	NOUN
ejpam-3735	25	20	as	as	ADP
ejpam-3735	25	21	an	an	DET
ejpam-3735	25	22	extension	extension	NOUN
ejpam-3735	25	23	of	of	ADP
ejpam-3735	25	24	d	d	NOUN
ejpam-3735	25	25	-	-	PUNCT
ejpam-3735	25	26	algebra	algebra	NOUN
ejpam-3735	25	27	and	and	CCONJ
ejpam-3735	25	28	they	they	PRON
ejpam-3735	25	29	showed	show	VERB
ejpam-3735	25	30	that	that	SCONJ
ejpam-3735	25	31	the	the	DET
ejpam-3735	25	32	class	class	NOUN
ejpam-3735	25	33	of	of	ADP
ejpam-3735	25	34	pseudo	pseudo	NOUN
ejpam-3735	25	35	-	-	NOUN
ejpam-3735	25	36	d	d	NOUN
ejpam-3735	25	37	-	-	PUNCT
ejpam-3735	25	38	algebra	algebra	NOUN
ejpam-3735	25	39	can	can	AUX
ejpam-3735	25	40	be	be	AUX
ejpam-3735	25	41	included	include	VERB
ejpam-3735	25	42	in	in	ADP
ejpam-3735	25	43	the	the	DET
ejpam-3735	25	44	class	class	NOUN
ejpam-3735	25	45	of	of	ADP
ejpam-3735	25	46	coupled	couple	VERB
ejpam-3735	25	47	d	d	NOUN
ejpam-3735	25	48	-	-	NOUN
ejpam-3735	25	49	algebra	algebra	NOUN
ejpam-3735	25	50	.	.	PUNCT
ejpam-3735	26	1	in	in	ADP
ejpam-3735	26	2	[	[	X
ejpam-3735	26	3	1	1	NUM
ejpam-3735	26	4	]	]	PUNCT
ejpam-3735	26	5	,	,	PUNCT
ejpam-3735	26	6	the	the	DET
ejpam-3735	26	7	authors	author	NOUN
ejpam-3735	26	8	,	,	PUNCT
ejpam-3735	26	9	introduced	introduce	VERB
ejpam-3735	26	10	the	the	DET
ejpam-3735	26	11	concept	concept	NOUN
ejpam-3735	26	12	of	of	ADP
ejpam-3735	26	13	pseudo	pseudo	NOUN
ejpam-3735	26	14	-	-	PUNCT
ejpam-3735	26	15	be	be	NOUN
ejpam-3735	26	16	-	-	PUNCT
ejpam-3735	26	17	algebra	algebra	NOUN
ejpam-3735	26	18	.	.	PUNCT
ejpam-3735	27	1	they	they	PRON
ejpam-3735	27	2	studied	study	VERB
ejpam-3735	27	3	the	the	DET
ejpam-3735	27	4	concepts	concept	NOUN
ejpam-3735	27	5	of	of	ADP
ejpam-3735	27	6	pseudo	pseudo	NOUN
ejpam-3735	27	7	-	-	NOUN
ejpam-3735	27	8	subalgebra	subalgebra	ADJ
ejpam-3735	27	9	,	,	PUNCT
ejpam-3735	27	10	pseudo	pseudo	NOUN
ejpam-3735	27	11	-	-	NOUN
ejpam-3735	27	12	filter	filter	NOUN
ejpam-3735	27	13	and	and	CCONJ
ejpam-3735	27	14	pseudo	pseudo	NOUN
ejpam-3735	27	15	-	-	ADJ
ejpam-3735	27	16	upper	upper	ADV
ejpam-3735	27	17	-	-	PUNCT
ejpam-3735	27	18	set	set	VERB
ejpam-3735	27	19	and	and	CCONJ
ejpam-3735	27	20	proved	prove	VERB
ejpam-3735	27	21	that	that	SCONJ
ejpam-3735	27	22	every	every	DET
ejpam-3735	27	23	pseudo	pseudo	NOUN
ejpam-3735	27	24	-	-	NOUN
ejpam-3735	27	25	filter	filter	NOUN
ejpam-3735	27	26	is	be	AUX
ejpam-3735	27	27	a	a	DET
ejpam-3735	27	28	union	union	NOUN
ejpam-3735	27	29	of	of	ADP
ejpam-3735	27	30	pseudo	pseudo	NOUN
ejpam-3735	27	31	-	-	ADJ
ejpam-3735	27	32	upper	upper	ADJ
ejpam-3735	27	33	-	-	PUNCT
ejpam-3735	27	34	sets	set	NOUN
ejpam-3735	27	35	.	.	PUNCT
ejpam-3735	28	1	in	in	ADP
ejpam-3735	28	2	[	[	X
ejpam-3735	28	3	9	9	NUM
ejpam-3735	28	4	]	]	PUNCT
ejpam-3735	28	5	,	,	PUNCT
ejpam-3735	28	6	jun	jun	PROPN
ejpam-3735	28	7	and	and	CCONJ
ejpam-3735	28	8	ahn	ahn	PROPN
ejpam-3735	28	9	studied	study	VERB
ejpam-3735	28	10	some	some	DET
ejpam-3735	28	11	properties	property	NOUN
ejpam-3735	28	12	of	of	ADP
ejpam-3735	28	13	pseudo	pseudo	NOUN
ejpam-3735	28	14	-	-	NOUN
ejpam-3735	28	15	bh	bh	NOUN
ejpam-3735	28	16	-	-	NOUN
ejpam-3735	28	17	algebra	algebra	NOUN
ejpam-3735	28	18	.	.	PUNCT
ejpam-3735	29	1	furthermore	furthermore	ADV
ejpam-3735	29	2	,	,	PUNCT
ejpam-3735	29	3	they	they	PRON
ejpam-3735	29	4	introduced	introduce	VERB
ejpam-3735	29	5	the	the	DET
ejpam-3735	29	6	concept	concept	NOUN
ejpam-3735	29	7	of	of	ADP
ejpam-3735	29	8	pseudo	pseudo	NOUN
ejpam-3735	29	9	-	-	VERB
ejpam-3735	29	10	complicated	complicate	VERB
ejpam-3735	29	11	-	-	PUNCT
ejpam-3735	29	12	bh	bh	NOUN
ejpam-3735	29	13	-	-	NOUN
ejpam-3735	29	14	algebra	algebra	NOUN
ejpam-3735	29	15	and	and	CCONJ
ejpam-3735	29	16	got	get	VERB
ejpam-3735	29	17	some	some	DET
ejpam-3735	29	18	related	relate	VERB
ejpam-3735	29	19	properties	property	NOUN
ejpam-3735	29	20	.	.	PUNCT
ejpam-3735	30	1	in	in	ADP
ejpam-3735	30	2	[	[	X
ejpam-3735	30	3	3	3	NUM
ejpam-3735	30	4	]	]	PUNCT
ejpam-3735	30	5	,	,	PUNCT
ejpam-3735	30	6	ciungu	ciungu	NOUN
ejpam-3735	30	7	introduced	introduce	VERB
ejpam-3735	30	8	and	and	CCONJ
ejpam-3735	30	9	investigated	investigate	VERB
ejpam-3735	30	10	pointed	point	VERB
ejpam-3735	30	11	-	-	PUNCT
ejpam-3735	30	12	pseudo	pseudo	NOUN
ejpam-3735	30	13	-	-	PUNCT
ejpam-3735	30	14	be	be	NOUN
ejpam-3735	30	15	-	-	PUNCT
ejpam-3735	30	16	algebra	algebra	NOUN
ejpam-3735	30	17	and	and	CCONJ
ejpam-3735	30	18	commutativepseudo	commutativepseudo	NOUN
ejpam-3735	30	19	-	-	PUNCT
ejpam-3735	30	20	be	be	NOUN
ejpam-3735	30	21	-	-	PUNCT
ejpam-3735	30	22	algebra	algebra	NOUN
ejpam-3735	30	23	and	and	CCONJ
ejpam-3735	30	24	proved	prove	VERB
ejpam-3735	30	25	that	that	SCONJ
ejpam-3735	30	26	the	the	DET
ejpam-3735	30	27	class	class	NOUN
ejpam-3735	30	28	of	of	ADP
ejpam-3735	30	29	commutative	commutative	ADJ
ejpam-3735	30	30	-	-	PUNCT
ejpam-3735	30	31	pseudo	pseudo	NOUN
ejpam-3735	30	32	-	-	PUNCT
ejpam-3735	30	33	be	be	NOUN
ejpam-3735	30	34	-	-	PUNCT
ejpam-3735	30	35	algebra	algebra	NOUN
ejpam-3735	30	36	and	and	CCONJ
ejpam-3735	30	37	the	the	DET
ejpam-3735	30	38	class	class	NOUN
ejpam-3735	30	39	of	of	ADP
ejpam-3735	30	40	commutative	commutative	ADJ
ejpam-3735	30	41	-	-	PUNCT
ejpam-3735	30	42	pseudo	pseudo	NOUN
ejpam-3735	30	43	-	-	ADJ
ejpam-3735	30	44	bck	bck	NOUN
ejpam-3735	30	45	-	-	PUNCT
ejpam-3735	30	46	algebra	algebra	NOUN
ejpam-3735	30	47	are	be	AUX
ejpam-3735	30	48	equivalent	equivalent	ADJ
ejpam-3735	30	49	.	.	PUNCT
ejpam-3735	31	1	in	in	ADP
ejpam-3735	31	2	this	this	DET
ejpam-3735	31	3	paper	paper	NOUN
ejpam-3735	31	4	,	,	PUNCT
ejpam-3735	31	5	we	we	PRON
ejpam-3735	31	6	study	study	VERB
ejpam-3735	31	7	the	the	DET
ejpam-3735	31	8	structure	structure	NOUN
ejpam-3735	31	9	of	of	ADP
ejpam-3735	31	10	pseudo	pseudo	NOUN
ejpam-3735	31	11	-	-	PUNCT
ejpam-3735	31	12	bf	bf	NOUN
ejpam-3735	31	13	/	/	SYM
ejpam-3735	31	14	bf	bf	NOUN
ejpam-3735	31	15	∗-algebra	∗-algebra	NOUN
ejpam-3735	31	16	.	.	PUNCT
ejpam-3735	32	1	we	we	PRON
ejpam-3735	32	2	introduce	introduce	VERB
ejpam-3735	32	3	,	,	PUNCT
ejpam-3735	32	4	in	in	ADP
ejpam-3735	32	5	the	the	DET
ejpam-3735	32	6	second	second	ADJ
ejpam-3735	32	7	section	section	NOUN
ejpam-3735	32	8	,	,	PUNCT
ejpam-3735	32	9	the	the	DET
ejpam-3735	32	10	notion	notion	NOUN
ejpam-3735	32	11	of	of	ADP
ejpam-3735	32	12	pseudo	pseudo	NOUN
ejpam-3735	32	13	-	-	PUNCT
ejpam-3735	32	14	bf	bf	NOUN
ejpam-3735	32	15	/	/	SYM
ejpam-3735	32	16	bf	bf	NOUN
ejpam-3735	32	17	∗-algebra	∗-algebra	NOUN
ejpam-3735	32	18	and	and	CCONJ
ejpam-3735	32	19	find	find	VERB
ejpam-3735	32	20	the	the	DET
ejpam-3735	32	21	relation	relation	NOUN
ejpam-3735	32	22	between	between	ADP
ejpam-3735	32	23	pseudo	pseudo	NOUN
ejpam-3735	32	24	-	-	PUNCT
ejpam-3735	32	25	bf	bf	NOUN
ejpam-3735	32	26	/	/	SYM
ejpam-3735	32	27	bf	bf	NOUN
ejpam-3735	32	28	∗-algebra	∗-algebra	NOUN
ejpam-3735	32	29	with	with	ADP
ejpam-3735	32	30	pseudo	pseudo	NOUN
ejpam-3735	32	31	-	-	ADJ
ejpam-3735	32	32	bck	bck	NOUN
ejpam-3735	32	33	-	-	PUNCT
ejpam-3735	32	34	algebra	algebra	NOUN
ejpam-3735	32	35	.	.	PUNCT
ejpam-3735	33	1	in	in	ADP
ejpam-3735	33	2	the	the	DET
ejpam-3735	33	3	third	third	ADJ
ejpam-3735	33	4	section	section	NOUN
ejpam-3735	33	5	,	,	PUNCT
ejpam-3735	33	6	we	we	PRON
ejpam-3735	33	7	study	study	VERB
ejpam-3735	33	8	pseudosubalgebra	pseudosubalgebra	NOUN
ejpam-3735	33	9	,	,	PUNCT
ejpam-3735	33	10	pseudo	pseudo	NOUN
ejpam-3735	33	11	-	-	NOUN
ejpam-3735	33	12	ideal	ideal	ADJ
ejpam-3735	33	13	and	and	CCONJ
ejpam-3735	33	14	pseudo	pseudo	ADJ
ejpam-3735	33	15	-	-	ADJ
ejpam-3735	33	16	normal	normal	ADJ
ejpam-3735	33	17	-	-	PUNCT
ejpam-3735	33	18	ideal	ideal	NOUN
ejpam-3735	33	19	of	of	ADP
ejpam-3735	33	20	pseudo	pseudo	NOUN
ejpam-3735	33	21	-	-	NOUN
ejpam-3735	33	22	bf	bf	NOUN
ejpam-3735	33	23	-algebra	-algebra	NOUN
ejpam-3735	33	24	.	.	PUNCT
ejpam-3735	34	1	we	we	PRON
ejpam-3735	34	2	study	study	VERB
ejpam-3735	34	3	pseudoatoms	pseudoatom	NOUN
ejpam-3735	34	4	of	of	ADP
ejpam-3735	34	5	pseudo	pseudo	NOUN
ejpam-3735	34	6	-	-	NOUN
ejpam-3735	34	7	bf	bf	NOUN
ejpam-3735	34	8	/	/	SYM
ejpam-3735	34	9	bf	bf	NOUN
ejpam-3735	34	10	∗-algebra	∗-algebra	NOUN
ejpam-3735	34	11	in	in	ADP
ejpam-3735	34	12	the	the	DET
ejpam-3735	34	13	last	last	ADJ
ejpam-3735	34	14	section	section	NOUN
ejpam-3735	34	15	.	.	PUNCT
ejpam-3735	35	1	we	we	PRON
ejpam-3735	35	2	start	start	VERB
ejpam-3735	35	3	by	by	ADP
ejpam-3735	35	4	recalling	recall	VERB
ejpam-3735	35	5	the	the	DET
ejpam-3735	35	6	definitions	definition	NOUN
ejpam-3735	35	7	and	and	CCONJ
ejpam-3735	35	8	elementary	elementary	ADJ
ejpam-3735	35	9	properties	property	NOUN
ejpam-3735	35	10	related	relate	VERB
ejpam-3735	35	11	to	to	ADP
ejpam-3735	35	12	the	the	DET
ejpam-3735	35	13	paper	paper	NOUN
ejpam-3735	35	14	.	.	PUNCT
ejpam-3735	36	1	definition	definition	NOUN
ejpam-3735	36	2	1	1	NUM
ejpam-3735	36	3	.	.	PUNCT
ejpam-3735	37	1	[	[	X
ejpam-3735	37	2	17	17	NUM
ejpam-3735	37	3	,	,	PUNCT
ejpam-3735	37	4	definition	definition	NOUN
ejpam-3735	37	5	2.1	2.1	NUM
ejpam-3735	37	6	]	]	PUNCT
ejpam-3735	37	7	an	an	DET
ejpam-3735	37	8	algebra	algebra	NOUN
ejpam-3735	37	9	(	(	PUNCT
ejpam-3735	37	10	e	e	NOUN
ejpam-3735	37	11	;	;	PUNCT
ejpam-3735	37	12	•	•	NUM
ejpam-3735	37	13	,	,	PUNCT
ejpam-3735	37	14	0	0	NUM
ejpam-3735	37	15	)	)	PUNCT
ejpam-3735	37	16	of	of	ADP
ejpam-3735	37	17	type	type	NOUN
ejpam-3735	37	18	(	(	PUNCT
ejpam-3735	37	19	2	2	NUM
ejpam-3735	37	20	,	,	PUNCT
ejpam-3735	37	21	0	0	NUM
ejpam-3735	37	22	)	)	PUNCT
ejpam-3735	37	23	is	be	AUX
ejpam-3735	37	24	called	call	VERB
ejpam-3735	37	25	a	a	DET
ejpam-3735	37	26	bf	bf	NOUN
ejpam-3735	37	27	-algebra	-algebra	NOUN
ejpam-3735	37	28	if	if	SCONJ
ejpam-3735	37	29	the	the	DET
ejpam-3735	37	30	following	follow	VERB
ejpam-3735	37	31	axioms	axiom	NOUN
ejpam-3735	37	32	are	be	AUX
ejpam-3735	37	33	satisfies	satisfie	NOUN
ejpam-3735	37	34	the	the	DET
ejpam-3735	37	35	following	following	ADJ
ejpam-3735	37	36	axiom	axiom	NOUN
ejpam-3735	37	37	,	,	PUNCT
ejpam-3735	37	38	for	for	ADP
ejpam-3735	37	39	all	all	DET
ejpam-3735	37	40	a	a	PRON
ejpam-3735	37	41	,	,	PUNCT
ejpam-3735	37	42	b	b	X
ejpam-3735	37	43	∈	∈	PROPN
ejpam-3735	37	44	e	e	NOUN
ejpam-3735	37	45	:	:	PUNCT
ejpam-3735	37	46	(	(	PUNCT
ejpam-3735	37	47	bf	bf	NOUN
ejpam-3735	37	48	(	(	PUNCT
ejpam-3735	37	49	1	1	NUM
ejpam-3735	37	50	)	)	PUNCT
ejpam-3735	37	51	)	)	PUNCT
ejpam-3735	37	52	a	a	DET
ejpam-3735	37	53	•	•	NOUN
ejpam-3735	37	54	a	a	DET
ejpam-3735	37	55	=	=	NOUN
ejpam-3735	37	56	0	0	NUM
ejpam-3735	37	57	,	,	PUNCT
ejpam-3735	37	58	(	(	PUNCT
ejpam-3735	37	59	bf	bf	NOUN
ejpam-3735	37	60	(	(	PUNCT
ejpam-3735	37	61	2	2	NUM
ejpam-3735	37	62	)	)	PUNCT
ejpam-3735	37	63	)	)	PUNCT
ejpam-3735	37	64	a	a	DET
ejpam-3735	37	65	•	•	NOUN
ejpam-3735	37	66	0	0	NUM
ejpam-3735	37	67	=	=	SYM
ejpam-3735	37	68	a	a	PRON
ejpam-3735	37	69	,	,	PUNCT
ejpam-3735	37	70	(	(	PUNCT
ejpam-3735	37	71	bf	bf	NOUN
ejpam-3735	37	72	(	(	PUNCT
ejpam-3735	37	73	3	3	NUM
ejpam-3735	37	74	)	)	PUNCT
ejpam-3735	37	75	)	)	PUNCT
ejpam-3735	37	76	0	0	NUM
ejpam-3735	38	1	•	•	NOUN
ejpam-3735	38	2	(	(	PUNCT
ejpam-3735	38	3	a	a	DET
ejpam-3735	38	4	•	•	NUM
ejpam-3735	38	5	b	b	NOUN
ejpam-3735	38	6	)	)	PUNCT
ejpam-3735	38	7	=	=	SYM
ejpam-3735	39	1	b	b	NOUN
ejpam-3735	39	2	•	•	NUM
ejpam-3735	39	3	a.	a.	NOUN
ejpam-3735	39	4	definition	definition	NOUN
ejpam-3735	39	5	2	2	NUM
ejpam-3735	39	6	.	.	PUNCT
ejpam-3735	40	1	[	[	X
ejpam-3735	40	2	2	2	NUM
ejpam-3735	40	3	,	,	PUNCT
ejpam-3735	40	4	definition	definition	NOUN
ejpam-3735	40	5	2.3	2.3	NUM
ejpam-3735	40	6	]	]	PUNCT
ejpam-3735	40	7	in	in	ADP
ejpam-3735	40	8	bf	bf	NOUN
ejpam-3735	40	9	-algebra	-algebra	NOUN
ejpam-3735	40	10	(	(	PUNCT
ejpam-3735	40	11	e	e	NOUN
ejpam-3735	40	12	;	;	PUNCT
ejpam-3735	40	13	•	•	NUM
ejpam-3735	40	14	,	,	PUNCT
ejpam-3735	40	15	0	0	NUM
ejpam-3735	40	16	)	)	PUNCT
ejpam-3735	40	17	,	,	PUNCT
ejpam-3735	40	18	we	we	PRON
ejpam-3735	40	19	can	can	AUX
ejpam-3735	40	20	define	define	VERB
ejpam-3735	40	21	a	a	DET
ejpam-3735	40	22	binary	binary	ADJ
ejpam-3735	40	23	relation	relation	NOUN
ejpam-3735	40	24	”	"	PUNCT
ejpam-3735	40	25	≤	≤	NOUN
ejpam-3735	40	26	”	"	PUNCT
ejpam-3735	40	27	on	on	ADP
ejpam-3735	40	28	e	e	PROPN
ejpam-3735	40	29	as	as	SCONJ
ejpam-3735	40	30	follows	follow	VERB
ejpam-3735	40	31	:	:	PUNCT
ejpam-3735	41	1	a	a	DET
ejpam-3735	41	2	≤	≤	NUM
ejpam-3735	41	3	b	b	NOUN
ejpam-3735	42	1	if	if	SCONJ
ejpam-3735	43	1	and	and	CCONJ
ejpam-3735	43	2	only	only	ADV
ejpam-3735	43	3	if	if	SCONJ
ejpam-3735	43	4	a	a	DET
ejpam-3735	43	5	•	•	NOUN
ejpam-3735	43	6	b	b	NOUN
ejpam-3735	43	7	=	=	NOUN
ejpam-3735	43	8	0	0	NUM
ejpam-3735	43	9	for	for	ADP
ejpam-3735	43	10	all	all	DET
ejpam-3735	43	11	a	a	PRON
ejpam-3735	43	12	,	,	PUNCT
ejpam-3735	43	13	b	b	X
ejpam-3735	43	14	∈	∈	PROPN
ejpam-3735	43	15	e.	e.	PROPN
ejpam-3735	44	1	any	any	DET
ejpam-3735	44	2	bf	bf	NOUN
ejpam-3735	44	3	-algebra	-algebra	PROPN
ejpam-3735	44	4	,	,	PUNCT
ejpam-3735	44	5	satisfies	satisfy	VERB
ejpam-3735	44	6	the	the	DET
ejpam-3735	44	7	properties	property	NOUN
ejpam-3735	44	8	given	give	VERB
ejpam-3735	44	9	in	in	ADP
ejpam-3735	44	10	the	the	DET
ejpam-3735	44	11	following	follow	VERB
ejpam-3735	44	12	proposition	proposition	NOUN
ejpam-3735	44	13	.	.	PUNCT
ejpam-3735	45	1	proposition	proposition	NOUN
ejpam-3735	45	2	1	1	NUM
ejpam-3735	45	3	.	.	PUNCT
ejpam-3735	46	1	[	[	X
ejpam-3735	46	2	17	17	NUM
ejpam-3735	46	3	,	,	PUNCT
ejpam-3735	46	4	proposition	proposition	NOUN
ejpam-3735	46	5	2.5	2.5	NUM
ejpam-3735	46	6	]	]	PUNCT
ejpam-3735	46	7	let	let	VERB
ejpam-3735	46	8	(	(	PUNCT
ejpam-3735	46	9	e	e	NOUN
ejpam-3735	46	10	;	;	PUNCT
ejpam-3735	46	11	•	•	NUM
ejpam-3735	46	12	,	,	PUNCT
ejpam-3735	46	13	0	0	NUM
ejpam-3735	46	14	)	)	PUNCT
ejpam-3735	46	15	be	be	VERB
ejpam-3735	46	16	a	a	DET
ejpam-3735	46	17	bf	bf	NOUN
ejpam-3735	46	18	-algebra	-algebra	NOUN
ejpam-3735	46	19	,	,	PUNCT
ejpam-3735	46	20	then	then	ADV
ejpam-3735	46	21	,	,	PUNCT
ejpam-3735	46	22	(	(	PUNCT
ejpam-3735	46	23	1	1	NUM
ejpam-3735	46	24	)	)	PUNCT
ejpam-3735	46	25	0	0	NUM
ejpam-3735	46	26	•	•	NOUN
ejpam-3735	46	27	(	(	PUNCT
ejpam-3735	46	28	0	0	NUM
ejpam-3735	46	29	•	•	NOUN
ejpam-3735	46	30	a	a	NOUN
ejpam-3735	46	31	)	)	PUNCT
ejpam-3735	46	32	=	=	NOUN
ejpam-3735	46	33	a	a	PRON
ejpam-3735	46	34	for	for	ADP
ejpam-3735	46	35	all	all	DET
ejpam-3735	46	36	a	a	DET
ejpam-3735	46	37	∈	∈	NOUN
ejpam-3735	46	38	e	e	NOUN
ejpam-3735	46	39	,	,	PUNCT
ejpam-3735	46	40	(	(	PUNCT
ejpam-3735	46	41	2	2	X
ejpam-3735	46	42	)	)	PUNCT
ejpam-3735	46	43	if	if	SCONJ
ejpam-3735	46	44	0	0	NUM
ejpam-3735	46	45	•	•	NOUN
ejpam-3735	46	46	a	a	PRON
ejpam-3735	46	47	=	=	NOUN
ejpam-3735	46	48	0	0	NUM
ejpam-3735	46	49	•	•	NUM
ejpam-3735	46	50	b	b	NOUN
ejpam-3735	46	51	,	,	PUNCT
ejpam-3735	46	52	then	then	ADV
ejpam-3735	46	53	a	a	DET
ejpam-3735	46	54	=	=	SYM
ejpam-3735	46	55	b	b	PROPN
ejpam-3735	46	56	for	for	ADP
ejpam-3735	46	57	all	all	DET
ejpam-3735	46	58	a	a	PRON
ejpam-3735	46	59	,	,	PUNCT
ejpam-3735	46	60	b	b	X
ejpam-3735	46	61	∈	∈	PROPN
ejpam-3735	46	62	e	e	NOUN
ejpam-3735	46	63	,	,	PUNCT
ejpam-3735	46	64	(	(	PUNCT
ejpam-3735	46	65	3	3	X
ejpam-3735	46	66	)	)	PUNCT
ejpam-3735	46	67	if	if	SCONJ
ejpam-3735	46	68	a	a	DET
ejpam-3735	46	69	•	•	NOUN
ejpam-3735	46	70	b	b	NOUN
ejpam-3735	46	71	=	=	SYM
ejpam-3735	46	72	0	0	NUM
ejpam-3735	46	73	,	,	PUNCT
ejpam-3735	46	74	then	then	ADV
ejpam-3735	46	75	b	b	NUM
ejpam-3735	46	76	•	•	NOUN
ejpam-3735	46	77	a	a	DET
ejpam-3735	46	78	=	=	NOUN
ejpam-3735	46	79	0	0	NUM
ejpam-3735	46	80	for	for	ADP
ejpam-3735	46	81	all	all	DET
ejpam-3735	46	82	a	a	PRON
ejpam-3735	46	83	,	,	PUNCT
ejpam-3735	46	84	b	b	PROPN
ejpam-3735	46	85	∈	∈	PROPN
ejpam-3735	46	86	e.	e.	PROPN
ejpam-3735	46	87	h.	h.	PROPN
ejpam-3735	46	88	m.	m.	PROPN
ejpam-3735	47	1	al	al	PROPN
ejpam-3735	47	2	-	-	PUNCT
ejpam-3735	47	3	malki	malki	PROPN
ejpam-3735	47	4	,	,	PUNCT
ejpam-3735	47	5	d.	d.	PROPN
ejpam-3735	47	6	s.	s.	PROPN
ejpam-3735	47	7	al	al	PROPN
ejpam-3735	47	8	-	-	PUNCT
ejpam-3735	47	9	kadi	kadi	PROPN
ejpam-3735	47	10	/	/	SYM
ejpam-3735	47	11	eur	eur	PROPN
ejpam-3735	47	12	.	.	PUNCT
ejpam-3735	48	1	j.	j.	PROPN
ejpam-3735	48	2	pure	pure	PROPN
ejpam-3735	48	3	appl	appl	PROPN
ejpam-3735	48	4	.	.	PROPN
ejpam-3735	48	5	math	math	PROPN
ejpam-3735	48	6	,	,	PUNCT
ejpam-3735	48	7	13	13	NUM
ejpam-3735	48	8	(	(	PUNCT
ejpam-3735	48	9	3	3	NUM
ejpam-3735	48	10	)	)	PUNCT
ejpam-3735	48	11	(	(	PUNCT
ejpam-3735	48	12	2020	2020	NUM
ejpam-3735	48	13	)	)	PUNCT
ejpam-3735	48	14	,	,	PUNCT
ejpam-3735	48	15	498	498	NUM
ejpam-3735	48	16	-	-	SYM
ejpam-3735	48	17	512	512	NUM
ejpam-3735	48	18	500	500	NUM
ejpam-3735	48	19	we	we	PRON
ejpam-3735	48	20	give	give	VERB
ejpam-3735	48	21	next	next	ADV
ejpam-3735	48	22	the	the	DET
ejpam-3735	48	23	definition	definition	NOUN
ejpam-3735	48	24	of	of	ADP
ejpam-3735	48	25	pseudo	pseudo	NOUN
ejpam-3735	48	26	-	-	ADJ
ejpam-3735	48	27	bck	bck	NOUN
ejpam-3735	48	28	-	-	PUNCT
ejpam-3735	48	29	algebra	algebra	NOUN
ejpam-3735	48	30	.	.	PUNCT
ejpam-3735	49	1	definition	definition	NOUN
ejpam-3735	49	2	3	3	NUM
ejpam-3735	49	3	.	.	PUNCT
ejpam-3735	50	1	[	[	X
ejpam-3735	50	2	6	6	NUM
ejpam-3735	50	3	,	,	PUNCT
ejpam-3735	50	4	definition	definition	NOUN
ejpam-3735	50	5	3	3	NUM
ejpam-3735	50	6	]	]	PUNCT
ejpam-3735	50	7	an	an	DET
ejpam-3735	50	8	algebra	algebra	NOUN
ejpam-3735	50	9	(	(	PUNCT
ejpam-3735	50	10	e;≤	e;≤	NOUN
ejpam-3735	50	11	,	,	PUNCT
ejpam-3735	50	12	•	•	NOUN
ejpam-3735	50	13	,	,	PUNCT
ejpam-3735	50	14	?	?	PUNCT
ejpam-3735	50	15	,	,	PUNCT
ejpam-3735	50	16	0	0	NUM
ejpam-3735	50	17	)	)	PUNCT
ejpam-3735	50	18	of	of	ADP
ejpam-3735	50	19	type	type	NOUN
ejpam-3735	50	20	(	(	PUNCT
ejpam-3735	50	21	2	2	NUM
ejpam-3735	50	22	,	,	PUNCT
ejpam-3735	50	23	2	2	NUM
ejpam-3735	50	24	,	,	PUNCT
ejpam-3735	50	25	0	0	NUM
ejpam-3735	50	26	)	)	PUNCT
ejpam-3735	50	27	,	,	PUNCT
ejpam-3735	50	28	where	where	SCONJ
ejpam-3735	50	29	”	"	PUNCT
ejpam-3735	50	30	≤	≤	NUM
ejpam-3735	50	31	”	"	PUNCT
ejpam-3735	50	32	is	be	AUX
ejpam-3735	50	33	a	a	DET
ejpam-3735	50	34	binary	binary	ADJ
ejpam-3735	50	35	relation	relation	NOUN
ejpam-3735	50	36	on	on	ADP
ejpam-3735	50	37	a	a	DET
ejpam-3735	50	38	set	set	NOUN
ejpam-3735	50	39	e	e	NOUN
ejpam-3735	50	40	,	,	PUNCT
ejpam-3735	50	41	”	"	PUNCT
ejpam-3735	50	42	•	•	NOUN
ejpam-3735	50	43	”	"	PUNCT
ejpam-3735	50	44	and	and	CCONJ
ejpam-3735	50	45	”	"	PUNCT
ejpam-3735	50	46	?	?	PUNCT
ejpam-3735	50	47	”	"	PUNCT
ejpam-3735	50	48	are	be	AUX
ejpam-3735	50	49	binary	binary	ADJ
ejpam-3735	50	50	operations	operation	NOUN
ejpam-3735	50	51	on	on	ADP
ejpam-3735	50	52	e	e	NOUN
ejpam-3735	50	53	and	and	CCONJ
ejpam-3735	50	54	”	"	PUNCT
ejpam-3735	50	55	0	0	NUM
ejpam-3735	50	56	”	"	PUNCT
ejpam-3735	50	57	is	be	AUX
ejpam-3735	50	58	a	a	DET
ejpam-3735	50	59	constant	constant	NOUN
ejpam-3735	50	60	of	of	ADP
ejpam-3735	50	61	e	e	NOUN
ejpam-3735	50	62	,	,	PUNCT
ejpam-3735	50	63	is	be	AUX
ejpam-3735	50	64	called	call	VERB
ejpam-3735	50	65	a	a	DET
ejpam-3735	50	66	pseudo	pseudo	NOUN
ejpam-3735	50	67	-	-	ADJ
ejpam-3735	50	68	bck	bck	NOUN
ejpam-3735	50	69	-	-	PUNCT
ejpam-3735	50	70	algebra	algebra	NOUN
ejpam-3735	50	71	if	if	SCONJ
ejpam-3735	50	72	the	the	DET
ejpam-3735	50	73	following	following	NOUN
ejpam-3735	50	74	are	be	AUX
ejpam-3735	50	75	satisfied	satisfied	ADJ
ejpam-3735	50	76	:	:	PUNCT
ejpam-3735	50	77	∀a	∀a	NOUN
ejpam-3735	50	78	,	,	PUNCT
ejpam-3735	50	79	b	b	X
ejpam-3735	50	80	,	,	PUNCT
ejpam-3735	50	81	c	c	PROPN
ejpam-3735	50	82	∈	∈	PROPN
ejpam-3735	50	83	e	e	NOUN
ejpam-3735	50	84	,	,	PUNCT
ejpam-3735	50	85	(	(	PUNCT
ejpam-3735	50	86	pbck(1	pbck(1	NOUN
ejpam-3735	50	87	)	)	PUNCT
ejpam-3735	50	88	)	)	PUNCT
ejpam-3735	51	1	(	(	PUNCT
ejpam-3735	51	2	a	a	DET
ejpam-3735	51	3	•	•	NUM
ejpam-3735	51	4	b	b	NOUN
ejpam-3735	51	5	)	)	PUNCT
ejpam-3735	51	6	?	?	PUNCT
ejpam-3735	52	1	(	(	PUNCT
ejpam-3735	52	2	a	a	DET
ejpam-3735	52	3	•	•	NUM
ejpam-3735	52	4	c	c	NOUN
ejpam-3735	52	5	)	)	PUNCT
ejpam-3735	52	6	≤	≤	NUM
ejpam-3735	52	7	c	c	NOUN
ejpam-3735	52	8	•	•	NUM
ejpam-3735	52	9	b	b	PROPN
ejpam-3735	52	10	and	and	CCONJ
ejpam-3735	52	11	(	(	PUNCT
ejpam-3735	52	12	a	a	PRON
ejpam-3735	52	13	?	?	NOUN
ejpam-3735	52	14	b	b	X
ejpam-3735	52	15	)	)	PUNCT
ejpam-3735	52	16	•	•	NOUN
ejpam-3735	52	17	(	(	PUNCT
ejpam-3735	52	18	a	a	PRON
ejpam-3735	52	19	?	?	PUNCT
ejpam-3735	52	20	c	c	X
ejpam-3735	52	21	)	)	PUNCT
ejpam-3735	52	22	≤	≤	NUM
ejpam-3735	53	1	c	c	NOUN
ejpam-3735	53	2	?	?	PUNCT
ejpam-3735	54	1	b	b	X
ejpam-3735	54	2	,	,	PUNCT
ejpam-3735	54	3	(	(	PUNCT
ejpam-3735	54	4	pbck(2	pbck(2	PROPN
ejpam-3735	54	5	)	)	PUNCT
ejpam-3735	54	6	)	)	PUNCT
ejpam-3735	55	1	a	a	PRON
ejpam-3735	55	2	?	?	PUNCT
ejpam-3735	56	1	(	(	PUNCT
ejpam-3735	56	2	a	a	DET
ejpam-3735	56	3	•	•	NUM
ejpam-3735	56	4	b	b	NOUN
ejpam-3735	56	5	)	)	PUNCT
ejpam-3735	56	6	≤	≤	NUM
ejpam-3735	56	7	b	b	NOUN
ejpam-3735	56	8	and	and	CCONJ
ejpam-3735	56	9	a	a	DET
ejpam-3735	56	10	•	•	NOUN
ejpam-3735	56	11	(	(	PUNCT
ejpam-3735	56	12	a	a	PRON
ejpam-3735	56	13	?	?	NOUN
ejpam-3735	57	1	b	b	X
ejpam-3735	57	2	)	)	PUNCT
ejpam-3735	57	3	≤	≤	NOUN
ejpam-3735	57	4	b	b	NOUN
ejpam-3735	57	5	,	,	PUNCT
ejpam-3735	57	6	(	(	PUNCT
ejpam-3735	57	7	pbck(3	pbck(3	NOUN
ejpam-3735	57	8	)	)	PUNCT
ejpam-3735	57	9	)	)	PUNCT
ejpam-3735	58	1	a	a	DET
ejpam-3735	58	2	≤	≤	ADV
ejpam-3735	58	3	a	a	PRON
ejpam-3735	58	4	,	,	PUNCT
ejpam-3735	58	5	(	(	PUNCT
ejpam-3735	58	6	pbck(4	pbck(4	NOUN
ejpam-3735	58	7	)	)	PUNCT
ejpam-3735	58	8	)	)	PUNCT
ejpam-3735	58	9	0	0	NUM
ejpam-3735	59	1	≤	≤	NOUN
ejpam-3735	59	2	a	a	DET
ejpam-3735	59	3	,	,	PUNCT
ejpam-3735	59	4	(	(	PUNCT
ejpam-3735	59	5	pbck(5	pbck(5	NOUN
ejpam-3735	59	6	)	)	PUNCT
ejpam-3735	59	7	)	)	PUNCT
ejpam-3735	59	8	a	a	DET
ejpam-3735	59	9	≤	≤	PROPN
ejpam-3735	59	10	b	b	NOUN
ejpam-3735	59	11	and	and	CCONJ
ejpam-3735	59	12	b	b	NOUN
ejpam-3735	59	13	≤	≤	NOUN
ejpam-3735	59	14	a	a	DET
ejpam-3735	59	15	then	then	ADV
ejpam-3735	59	16	a	a	DET
ejpam-3735	59	17	=	=	SYM
ejpam-3735	59	18	b	b	PROPN
ejpam-3735	59	19	,	,	PUNCT
ejpam-3735	59	20	(	(	PUNCT
ejpam-3735	59	21	pbck(6	pbck(6	PROPN
ejpam-3735	59	22	)	)	PUNCT
ejpam-3735	59	23	)	)	PUNCT
ejpam-3735	60	1	a	a	DET
ejpam-3735	60	2	≤	≤	PROPN
ejpam-3735	60	3	b	b	X
ejpam-3735	60	4	⇔	⇔	X
ejpam-3735	60	5	a	a	DET
ejpam-3735	60	6	•	•	NOUN
ejpam-3735	60	7	b	b	NOUN
ejpam-3735	60	8	=	=	SYM
ejpam-3735	60	9	0	0	PUNCT
ejpam-3735	60	10	if	if	SCONJ
ejpam-3735	60	11	and	and	CCONJ
ejpam-3735	60	12	only	only	ADV
ejpam-3735	60	13	if	if	SCONJ
ejpam-3735	60	14	a	a	DET
ejpam-3735	60	15	?	?	PUNCT
ejpam-3735	61	1	b	b	X
ejpam-3735	61	2	=	=	SYM
ejpam-3735	61	3	0	0	PROPN
ejpam-3735	61	4	.	.	PUNCT
ejpam-3735	61	5	theorem	theorem	NOUN
ejpam-3735	61	6	1	1	NUM
ejpam-3735	61	7	.	.	PUNCT
ejpam-3735	62	1	[	[	X
ejpam-3735	62	2	6	6	NUM
ejpam-3735	62	3	,	,	PUNCT
ejpam-3735	62	4	theorem	theorem	VERB
ejpam-3735	62	5	7	7	NUM
ejpam-3735	62	6	]	]	PUNCT
ejpam-3735	62	7	in	in	ADP
ejpam-3735	62	8	a	a	DET
ejpam-3735	62	9	pseudo	pseudo	NOUN
ejpam-3735	62	10	-	-	ADJ
ejpam-3735	62	11	bck	bck	NOUN
ejpam-3735	62	12	-	-	PUNCT
ejpam-3735	62	13	algebra	algebra	NOUN
ejpam-3735	62	14	(	(	PUNCT
ejpam-3735	62	15	e;≤	e;≤	NOUN
ejpam-3735	62	16	,	,	PUNCT
ejpam-3735	62	17	•	•	NOUN
ejpam-3735	62	18	,	,	PUNCT
ejpam-3735	62	19	?	?	PUNCT
ejpam-3735	62	20	,	,	PUNCT
ejpam-3735	62	21	0	0	NUM
ejpam-3735	62	22	)	)	PUNCT
ejpam-3735	62	23	,	,	PUNCT
ejpam-3735	62	24	for	for	ADP
ejpam-3735	62	25	all	all	DET
ejpam-3735	62	26	a	a	DET
ejpam-3735	62	27	,	,	PUNCT
ejpam-3735	62	28	b	b	NOUN
ejpam-3735	62	29	,	,	PUNCT
ejpam-3735	62	30	c	c	PROPN
ejpam-3735	62	31	∈	∈	PROPN
ejpam-3735	63	1	e	e	X
ejpam-3735	63	2	we	we	PRON
ejpam-3735	63	3	have	have	VERB
ejpam-3735	63	4	(	(	PUNCT
ejpam-3735	63	5	a	a	DET
ejpam-3735	63	6	•	•	NUM
ejpam-3735	63	7	b	b	NOUN
ejpam-3735	63	8	)	)	PUNCT
ejpam-3735	63	9	?	?	PUNCT
ejpam-3735	64	1	c	c	X
ejpam-3735	65	1	=	=	PUNCT
ejpam-3735	66	1	(	(	PUNCT
ejpam-3735	66	2	a	a	NOUN
ejpam-3735	66	3	?	?	PUNCT
ejpam-3735	67	1	c	c	X
ejpam-3735	67	2	)	)	PUNCT
ejpam-3735	67	3	•	•	PROPN
ejpam-3735	67	4	b.	b.	PROPN
ejpam-3735	67	5	theorem	theorem	NOUN
ejpam-3735	67	6	2	2	NUM
ejpam-3735	67	7	.	.	PUNCT
ejpam-3735	68	1	[	[	X
ejpam-3735	68	2	6	6	NUM
ejpam-3735	68	3	,	,	PUNCT
ejpam-3735	68	4	theorem	theorem	VERB
ejpam-3735	68	5	8	8	NUM
ejpam-3735	68	6	]	]	PUNCT
ejpam-3735	68	7	in	in	ADP
ejpam-3735	68	8	any	any	DET
ejpam-3735	68	9	pseudo	pseudo	NOUN
ejpam-3735	68	10	-	-	ADJ
ejpam-3735	68	11	bck	bck	NOUN
ejpam-3735	68	12	-	-	PUNCT
ejpam-3735	68	13	algebra	algebra	NOUN
ejpam-3735	68	14	(	(	PUNCT
ejpam-3735	68	15	e;≤	e;≤	NOUN
ejpam-3735	68	16	,	,	PUNCT
ejpam-3735	68	17	•	•	NOUN
ejpam-3735	68	18	,	,	PUNCT
ejpam-3735	68	19	?	?	PUNCT
ejpam-3735	68	20	,	,	PUNCT
ejpam-3735	68	21	0	0	X
ejpam-3735	68	22	)	)	PUNCT
ejpam-3735	68	23	we	we	PRON
ejpam-3735	68	24	have	have	AUX
ejpam-3735	68	25	,	,	PUNCT
ejpam-3735	68	26	for	for	ADP
ejpam-3735	68	27	all	all	DET
ejpam-3735	68	28	a	a	DET
ejpam-3735	68	29	,	,	PUNCT
ejpam-3735	68	30	b	b	NOUN
ejpam-3735	68	31	,	,	PUNCT
ejpam-3735	68	32	c	c	PROPN
ejpam-3735	68	33	∈	∈	PROPN
ejpam-3735	69	1	e	e	NOUN
ejpam-3735	69	2	:	:	PUNCT
ejpam-3735	69	3	(	(	PUNCT
ejpam-3735	69	4	1	1	X
ejpam-3735	69	5	)	)	PUNCT
ejpam-3735	69	6	a	a	DET
ejpam-3735	69	7	•	•	NOUN
ejpam-3735	69	8	b	b	NOUN
ejpam-3735	69	9	≤	≤	NOUN
ejpam-3735	69	10	c	c	NOUN
ejpam-3735	70	1	if	if	SCONJ
ejpam-3735	70	2	and	and	CCONJ
ejpam-3735	70	3	only	only	ADV
ejpam-3735	70	4	if	if	SCONJ
ejpam-3735	70	5	a	a	PRON
ejpam-3735	70	6	?	?	PUNCT
ejpam-3735	71	1	c	c	NOUN
ejpam-3735	71	2	≤	≤	NUM
ejpam-3735	71	3	b	b	NOUN
ejpam-3735	71	4	,	,	PUNCT
ejpam-3735	71	5	(	(	PUNCT
ejpam-3735	71	6	2	2	X
ejpam-3735	71	7	)	)	PUNCT
ejpam-3735	71	8	a	a	DET
ejpam-3735	71	9	•	•	NOUN
ejpam-3735	71	10	b	b	NOUN
ejpam-3735	71	11	≤	≤	NOUN
ejpam-3735	71	12	a	a	PRON
ejpam-3735	71	13	and	and	CCONJ
ejpam-3735	71	14	a	a	PRON
ejpam-3735	71	15	?	?	PUNCT
ejpam-3735	72	1	b	b	NOUN
ejpam-3735	72	2	≤	≤	NUM
ejpam-3735	72	3	a.	a.	NOUN
ejpam-3735	72	4	2	2	NUM
ejpam-3735	72	5	.	.	X
ejpam-3735	73	1	pseudo	pseudo	NOUN
ejpam-3735	73	2	-	-	PUNCT
ejpam-3735	73	3	bf	bf	NOUN
ejpam-3735	73	4	/	/	SYM
ejpam-3735	73	5	bf	bf	NOUN
ejpam-3735	73	6	∗-algebra	∗-algebra	NOUN
ejpam-3735	73	7	in	in	ADP
ejpam-3735	73	8	this	this	DET
ejpam-3735	73	9	section	section	NOUN
ejpam-3735	73	10	,	,	PUNCT
ejpam-3735	73	11	we	we	PRON
ejpam-3735	73	12	give	give	VERB
ejpam-3735	73	13	a	a	DET
ejpam-3735	73	14	generalization	generalization	NOUN
ejpam-3735	73	15	of	of	ADP
ejpam-3735	73	16	bf	bf	NOUN
ejpam-3735	73	17	-algebra	-algebra	PROPN
ejpam-3735	73	18	named	name	VERB
ejpam-3735	73	19	pseudo	pseudo	NOUN
ejpam-3735	73	20	-	-	NOUN
ejpam-3735	73	21	bf	bf	NOUN
ejpam-3735	73	22	-algebra	-algebra	NOUN
ejpam-3735	73	23	and	and	CCONJ
ejpam-3735	73	24	study	study	VERB
ejpam-3735	73	25	its	its	PRON
ejpam-3735	73	26	structure	structure	NOUN
ejpam-3735	73	27	.	.	PUNCT
ejpam-3735	74	1	also	also	ADV
ejpam-3735	74	2	,	,	PUNCT
ejpam-3735	74	3	we	we	PRON
ejpam-3735	74	4	will	will	AUX
ejpam-3735	74	5	introduce	introduce	VERB
ejpam-3735	74	6	pseudo	pseudo	NOUN
ejpam-3735	74	7	-	-	NOUN
ejpam-3735	74	8	bf	bf	NOUN
ejpam-3735	74	9	∗-algebra	∗-algebra	NOUN
ejpam-3735	74	10	and	and	CCONJ
ejpam-3735	74	11	find	find	VERB
ejpam-3735	74	12	the	the	DET
ejpam-3735	74	13	relation	relation	NOUN
ejpam-3735	74	14	between	between	ADP
ejpam-3735	74	15	pseudo	pseudo	NOUN
ejpam-3735	74	16	-	-	PUNCT
ejpam-3735	74	17	bf	bf	NOUN
ejpam-3735	74	18	/	/	SYM
ejpam-3735	74	19	bf	bf	NOUN
ejpam-3735	74	20	∗-algebra	∗-algebra	NOUN
ejpam-3735	74	21	and	and	CCONJ
ejpam-3735	74	22	pseudo	pseudo	NOUN
ejpam-3735	74	23	-	-	ADJ
ejpam-3735	74	24	bck	bck	NOUN
ejpam-3735	74	25	-	-	PUNCT
ejpam-3735	74	26	algebra	algebra	NOUN
ejpam-3735	74	27	.	.	PUNCT
ejpam-3735	75	1	definition	definition	NOUN
ejpam-3735	75	2	4	4	NUM
ejpam-3735	75	3	.	.	PUNCT
ejpam-3735	76	1	an	an	DET
ejpam-3735	76	2	algebra	algebra	NOUN
ejpam-3735	76	3	(	(	PUNCT
ejpam-3735	76	4	e	e	NOUN
ejpam-3735	76	5	;	;	PUNCT
ejpam-3735	76	6	•	•	NUM
ejpam-3735	76	7	,	,	PUNCT
ejpam-3735	76	8	?	?	PUNCT
ejpam-3735	76	9	,	,	PUNCT
ejpam-3735	76	10	0	0	NUM
ejpam-3735	76	11	)	)	PUNCT
ejpam-3735	76	12	of	of	ADP
ejpam-3735	76	13	type	type	NOUN
ejpam-3735	76	14	(	(	PUNCT
ejpam-3735	76	15	2	2	NUM
ejpam-3735	76	16	,	,	PUNCT
ejpam-3735	76	17	2	2	NUM
ejpam-3735	76	18	,	,	PUNCT
ejpam-3735	76	19	0	0	NUM
ejpam-3735	76	20	)	)	PUNCT
ejpam-3735	76	21	is	be	AUX
ejpam-3735	76	22	said	say	VERB
ejpam-3735	76	23	to	to	PART
ejpam-3735	76	24	be	be	AUX
ejpam-3735	76	25	a	a	DET
ejpam-3735	76	26	pseudo	pseudo	NOUN
ejpam-3735	76	27	-	-	NOUN
ejpam-3735	76	28	bf	bf	NOUN
ejpam-3735	76	29	-algebra	-algebra	NOUN
ejpam-3735	76	30	,	,	PUNCT
ejpam-3735	76	31	if	if	SCONJ
ejpam-3735	76	32	the	the	DET
ejpam-3735	76	33	following	follow	VERB
ejpam-3735	76	34	axioms	axiom	NOUN
ejpam-3735	76	35	are	be	AUX
ejpam-3735	76	36	satisfied	satisfied	ADJ
ejpam-3735	76	37	for	for	ADP
ejpam-3735	76	38	all	all	DET
ejpam-3735	76	39	a	a	PRON
ejpam-3735	76	40	,	,	PUNCT
ejpam-3735	76	41	b	b	X
ejpam-3735	76	42	∈	∈	PROPN
ejpam-3735	76	43	e	e	NOUN
ejpam-3735	76	44	:	:	PUNCT
ejpam-3735	76	45	(	(	PUNCT
ejpam-3735	76	46	pbf	pbf	NOUN
ejpam-3735	76	47	(	(	PUNCT
ejpam-3735	76	48	1	1	NUM
ejpam-3735	76	49	)	)	PUNCT
ejpam-3735	76	50	)	)	PUNCT
ejpam-3735	76	51	a	a	DET
ejpam-3735	76	52	•	•	NOUN
ejpam-3735	76	53	a	a	DET
ejpam-3735	76	54	=	=	NOUN
ejpam-3735	76	55	0	0	NUM
ejpam-3735	76	56	and	and	CCONJ
ejpam-3735	76	57	a	a	PRON
ejpam-3735	76	58	?	?	PUNCT
ejpam-3735	77	1	a	a	DET
ejpam-3735	77	2	=	=	NOUN
ejpam-3735	77	3	0	0	NUM
ejpam-3735	77	4	,	,	PUNCT
ejpam-3735	77	5	(	(	PUNCT
ejpam-3735	77	6	pbf	pbf	NOUN
ejpam-3735	77	7	(	(	PUNCT
ejpam-3735	77	8	2	2	NUM
ejpam-3735	77	9	)	)	PUNCT
ejpam-3735	77	10	)	)	PUNCT
ejpam-3735	77	11	a	a	DET
ejpam-3735	77	12	•	•	NOUN
ejpam-3735	77	13	0	0	NUM
ejpam-3735	77	14	=	=	NOUN
ejpam-3735	77	15	a	a	PRON
ejpam-3735	77	16	and	and	CCONJ
ejpam-3735	77	17	a	a	PRON
ejpam-3735	77	18	?	?	NOUN
ejpam-3735	77	19	0	0	NUM
ejpam-3735	78	1	=	=	SYM
ejpam-3735	78	2	a	a	PRON
ejpam-3735	78	3	,	,	PUNCT
ejpam-3735	78	4	(	(	PUNCT
ejpam-3735	78	5	pbf	pbf	NOUN
ejpam-3735	78	6	(	(	PUNCT
ejpam-3735	78	7	3	3	NUM
ejpam-3735	78	8	)	)	PUNCT
ejpam-3735	78	9	)	)	PUNCT
ejpam-3735	78	10	0	0	NUM
ejpam-3735	79	1	•	•	NOUN
ejpam-3735	79	2	(	(	PUNCT
ejpam-3735	79	3	a	a	PRON
ejpam-3735	79	4	?	?	PUNCT
ejpam-3735	80	1	b	b	X
ejpam-3735	80	2	)	)	PUNCT
ejpam-3735	80	3	=	=	SYM
ejpam-3735	80	4	b	b	X
ejpam-3735	80	5	?	?	PUNCT
ejpam-3735	81	1	a	a	PRON
ejpam-3735	81	2	and	and	CCONJ
ejpam-3735	81	3	0	0	NUM
ejpam-3735	81	4	?	?	PUNCT
ejpam-3735	82	1	(	(	PUNCT
ejpam-3735	82	2	a	a	DET
ejpam-3735	82	3	•	•	NUM
ejpam-3735	82	4	b	b	NOUN
ejpam-3735	82	5	)	)	PUNCT
ejpam-3735	82	6	=	=	SYM
ejpam-3735	82	7	b	b	NOUN
ejpam-3735	82	8	•	•	NUM
ejpam-3735	82	9	a.	a.	NOUN
ejpam-3735	82	10	the	the	DET
ejpam-3735	82	11	following	follow	VERB
ejpam-3735	82	12	examples	example	NOUN
ejpam-3735	82	13	illustrates	illustrate	VERB
ejpam-3735	82	14	the	the	DET
ejpam-3735	82	15	definition	definition	NOUN
ejpam-3735	82	16	.	.	PUNCT
ejpam-3735	83	1	example	example	NOUN
ejpam-3735	84	1	1	1	NUM
ejpam-3735	84	2	.	.	X
ejpam-3735	84	3	consider	consider	VERB
ejpam-3735	84	4	the	the	DET
ejpam-3735	84	5	group	group	NOUN
ejpam-3735	84	6	(	(	PUNCT
ejpam-3735	84	7	g	g	NOUN
ejpam-3735	84	8	;	;	PUNCT
ejpam-3735	84	9	+	+	ADJ
ejpam-3735	84	10	,	,	PUNCT
ejpam-3735	84	11	0	0	NUM
ejpam-3735	84	12	)	)	PUNCT
ejpam-3735	84	13	,	,	PUNCT
ejpam-3735	84	14	where	where	SCONJ
ejpam-3735	84	15	”	"	PUNCT
ejpam-3735	84	16	+	+	ADJ
ejpam-3735	84	17	”	"	PUNCT
ejpam-3735	84	18	is	be	AUX
ejpam-3735	84	19	the	the	DET
ejpam-3735	84	20	usual	usual	ADJ
ejpam-3735	84	21	addition	addition	NOUN
ejpam-3735	84	22	.	.	PUNCT
ejpam-3735	85	1	define	define	VERB
ejpam-3735	85	2	the	the	DET
ejpam-3735	85	3	operations	operation	NOUN
ejpam-3735	85	4	”	"	PUNCT
ejpam-3735	85	5	•	•	NOUN
ejpam-3735	85	6	”	"	PUNCT
ejpam-3735	85	7	and	and	CCONJ
ejpam-3735	85	8	”	"	PUNCT
ejpam-3735	85	9	?	?	PUNCT
ejpam-3735	85	10	”	"	PUNCT
ejpam-3735	85	11	on	on	ADP
ejpam-3735	85	12	g	g	PROPN
ejpam-3735	85	13	by	by	ADP
ejpam-3735	85	14	:	:	PUNCT
ejpam-3735	85	15	h.	h.	PROPN
ejpam-3735	85	16	m.	m.	PROPN
ejpam-3735	85	17	al	al	PROPN
ejpam-3735	85	18	-	-	PUNCT
ejpam-3735	85	19	malki	malki	PROPN
ejpam-3735	85	20	,	,	PUNCT
ejpam-3735	85	21	d.	d.	PROPN
ejpam-3735	85	22	s.	s.	PROPN
ejpam-3735	85	23	al	al	PROPN
ejpam-3735	85	24	-	-	PUNCT
ejpam-3735	85	25	kadi	kadi	PROPN
ejpam-3735	85	26	/	/	SYM
ejpam-3735	85	27	eur	eur	PROPN
ejpam-3735	85	28	.	.	PUNCT
ejpam-3735	86	1	j.	j.	PROPN
ejpam-3735	86	2	pure	pure	PROPN
ejpam-3735	86	3	appl	appl	PROPN
ejpam-3735	86	4	.	.	PROPN
ejpam-3735	86	5	math	math	PROPN
ejpam-3735	86	6	,	,	PUNCT
ejpam-3735	86	7	13	13	NUM
ejpam-3735	86	8	(	(	PUNCT
ejpam-3735	86	9	3	3	NUM
ejpam-3735	86	10	)	)	PUNCT
ejpam-3735	86	11	(	(	PUNCT
ejpam-3735	86	12	2020	2020	NUM
ejpam-3735	86	13	)	)	PUNCT
ejpam-3735	86	14	,	,	PUNCT
ejpam-3735	86	15	498	498	NUM
ejpam-3735	86	16	-	-	SYM
ejpam-3735	86	17	512	512	NUM
ejpam-3735	86	18	501	501	NUM
ejpam-3735	86	19	a	a	DET
ejpam-3735	86	20	•	•	NOUN
ejpam-3735	86	21	b	b	NOUN
ejpam-3735	87	1	=	=	PUNCT
ejpam-3735	87	2	(	(	PUNCT
ejpam-3735	87	3	−b	−b	ADJ
ejpam-3735	87	4	)	)	PUNCT
ejpam-3735	88	1	+	+	CCONJ
ejpam-3735	88	2	a	a	PRON
ejpam-3735	88	3	and	and	CCONJ
ejpam-3735	88	4	a	a	PRON
ejpam-3735	88	5	?	?	PUNCT
ejpam-3735	89	1	b	b	X
ejpam-3735	89	2	=	=	SYM
ejpam-3735	89	3	(	(	PUNCT
ejpam-3735	89	4	−b	−b	ADJ
ejpam-3735	89	5	)	)	PUNCT
ejpam-3735	90	1	+	+	CCONJ
ejpam-3735	90	2	a	a	PRON
ejpam-3735	90	3	for	for	ADP
ejpam-3735	90	4	all	all	DET
ejpam-3735	90	5	a	a	PRON
ejpam-3735	90	6	,	,	PUNCT
ejpam-3735	90	7	b	b	X
ejpam-3735	90	8	∈	∈	PROPN
ejpam-3735	90	9	g	g	NOUN
ejpam-3735	90	10	then	then	ADV
ejpam-3735	90	11	(	(	PUNCT
ejpam-3735	90	12	g	g	NOUN
ejpam-3735	90	13	;	;	PUNCT
ejpam-3735	90	14	•	•	NUM
ejpam-3735	90	15	,	,	PUNCT
ejpam-3735	90	16	?	?	PUNCT
ejpam-3735	90	17	,	,	PUNCT
ejpam-3735	90	18	0	0	X
ejpam-3735	90	19	)	)	PUNCT
ejpam-3735	90	20	is	be	AUX
ejpam-3735	90	21	a	a	DET
ejpam-3735	90	22	pseudo	pseudo	NOUN
ejpam-3735	90	23	-	-	NOUN
ejpam-3735	90	24	bf	bf	NOUN
ejpam-3735	90	25	-algebra	-algebra	NOUN
ejpam-3735	90	26	.	.	PUNCT
ejpam-3735	91	1	note	note	NOUN
ejpam-3735	91	2	:	:	PUNCT
ejpam-3735	91	3	it	it	PRON
ejpam-3735	91	4	is	be	AUX
ejpam-3735	91	5	obvious	obvious	ADJ
ejpam-3735	91	6	that	that	SCONJ
ejpam-3735	91	7	in	in	ADP
ejpam-3735	91	8	any	any	DET
ejpam-3735	91	9	pseudo	pseudo	NOUN
ejpam-3735	91	10	-	-	NOUN
ejpam-3735	91	11	bf	bf	ADJ
ejpam-3735	91	12	-algebra	-algebra	NOUN
ejpam-3735	91	13	e	e	NOUN
ejpam-3735	91	14	if	if	SCONJ
ejpam-3735	91	15	a	a	DET
ejpam-3735	91	16	•	•	NOUN
ejpam-3735	91	17	b	b	X
ejpam-3735	91	18	=	=	NOUN
ejpam-3735	91	19	a	a	PRON
ejpam-3735	91	20	?	?	PUNCT
ejpam-3735	91	21	b	b	NOUN
ejpam-3735	91	22	for	for	ADP
ejpam-3735	91	23	all	all	DET
ejpam-3735	91	24	a	a	PRON
ejpam-3735	91	25	,	,	PUNCT
ejpam-3735	91	26	b	b	X
ejpam-3735	91	27	∈	∈	PROPN
ejpam-3735	91	28	e	e	NOUN
ejpam-3735	91	29	then	then	ADV
ejpam-3735	91	30	e	e	PROPN
ejpam-3735	91	31	is	be	AUX
ejpam-3735	91	32	a	a	DET
ejpam-3735	91	33	bf	bf	NOUN
ejpam-3735	91	34	-algebra	-algebra	NOUN
ejpam-3735	91	35	.	.	PUNCT
ejpam-3735	91	36	example	example	NOUN
ejpam-3735	91	37	2	2	NUM
ejpam-3735	91	38	.	.	PUNCT
ejpam-3735	91	39	define	define	VERB
ejpam-3735	91	40	the	the	DET
ejpam-3735	91	41	operations	operation	NOUN
ejpam-3735	91	42	”	"	PUNCT
ejpam-3735	91	43	•	•	NOUN
ejpam-3735	91	44	”	"	PUNCT
ejpam-3735	91	45	and	and	CCONJ
ejpam-3735	91	46	”	"	PUNCT
ejpam-3735	91	47	?	?	PUNCT
ejpam-3735	91	48	”	"	PUNCT
ejpam-3735	91	49	on	on	ADP
ejpam-3735	91	50	e	e	X
ejpam-3735	91	51	=	=	PUNCT
ejpam-3735	91	52	{	{	PUNCT
ejpam-3735	91	53	0	0	NUM
ejpam-3735	91	54	,	,	PUNCT
ejpam-3735	91	55	1	1	NUM
ejpam-3735	91	56	,	,	PUNCT
ejpam-3735	91	57	2	2	NUM
ejpam-3735	91	58	,	,	PUNCT
ejpam-3735	91	59	3	3	NUM
ejpam-3735	91	60	}	}	PUNCT
ejpam-3735	91	61	,	,	PUNCT
ejpam-3735	91	62	by	by	ADP
ejpam-3735	91	63	the	the	DET
ejpam-3735	91	64	following	following	ADJ
ejpam-3735	91	65	cayley	cayley	ADJ
ejpam-3735	91	66	tables	table	NOUN
ejpam-3735	91	67	:	:	PUNCT
ejpam-3735	91	68	table	table	NOUN
ejpam-3735	91	69	1	1	NUM
ejpam-3735	91	70	table	table	NOUN
ejpam-3735	91	71	2	2	NUM
ejpam-3735	91	72	•	•	NOUN
ejpam-3735	91	73	0	0	NUM
ejpam-3735	91	74	1	1	NUM
ejpam-3735	91	75	2	2	NUM
ejpam-3735	91	76	3	3	NUM
ejpam-3735	91	77	0	0	NUM
ejpam-3735	91	78	0	0	NUM
ejpam-3735	91	79	1	1	NUM
ejpam-3735	91	80	2	2	NUM
ejpam-3735	91	81	3	3	NUM
ejpam-3735	91	82	1	1	NUM
ejpam-3735	91	83	1	1	NUM
ejpam-3735	91	84	0	0	NUM
ejpam-3735	91	85	3	3	NUM
ejpam-3735	91	86	0	0	NUM
ejpam-3735	91	87	2	2	NUM
ejpam-3735	91	88	2	2	NUM
ejpam-3735	91	89	3	3	NUM
ejpam-3735	91	90	0	0	NUM
ejpam-3735	91	91	2	2	NUM
ejpam-3735	91	92	3	3	NUM
ejpam-3735	91	93	3	3	NUM
ejpam-3735	91	94	0	0	NUM
ejpam-3735	91	95	2	2	NUM
ejpam-3735	91	96	0	0	NUM
ejpam-3735	91	97	?	?	PUNCT
ejpam-3735	91	98	0	0	NUM
ejpam-3735	92	1	1	1	NUM
ejpam-3735	92	2	2	2	NUM
ejpam-3735	92	3	3	3	NUM
ejpam-3735	92	4	0	0	NUM
ejpam-3735	92	5	0	0	NUM
ejpam-3735	92	6	1	1	NUM
ejpam-3735	92	7	2	2	NUM
ejpam-3735	92	8	3	3	NUM
ejpam-3735	92	9	1	1	NUM
ejpam-3735	92	10	1	1	NUM
ejpam-3735	92	11	0	0	NUM
ejpam-3735	92	12	1	1	NUM
ejpam-3735	92	13	1	1	NUM
ejpam-3735	92	14	2	2	NUM
ejpam-3735	92	15	2	2	NUM
ejpam-3735	92	16	1	1	NUM
ejpam-3735	92	17	0	0	NUM
ejpam-3735	92	18	1	1	NUM
ejpam-3735	92	19	3	3	NUM
ejpam-3735	92	20	3	3	NUM
ejpam-3735	92	21	1	1	NUM
ejpam-3735	92	22	1	1	NUM
ejpam-3735	92	23	0	0	NUM
ejpam-3735	92	24	then	then	ADV
ejpam-3735	92	25	(	(	PUNCT
ejpam-3735	92	26	e	e	NOUN
ejpam-3735	92	27	;	;	PUNCT
ejpam-3735	92	28	•	•	NUM
ejpam-3735	92	29	,	,	PUNCT
ejpam-3735	92	30	0	0	NUM
ejpam-3735	92	31	)	)	PUNCT
ejpam-3735	92	32	and	and	CCONJ
ejpam-3735	92	33	(	(	PUNCT
ejpam-3735	92	34	e	e	NOUN
ejpam-3735	92	35	;	;	PUNCT
ejpam-3735	92	36	?	?	PUNCT
ejpam-3735	92	37	,	,	PUNCT
ejpam-3735	92	38	0	0	X
ejpam-3735	92	39	)	)	PUNCT
ejpam-3735	92	40	are	be	AUX
ejpam-3735	92	41	bf	bf	NOUN
ejpam-3735	92	42	-algebras	-algebra	NOUN
ejpam-3735	92	43	(	(	PUNCT
ejpam-3735	92	44	shown	show	VERB
ejpam-3735	92	45	in	in	ADP
ejpam-3735	92	46	[	[	X
ejpam-3735	92	47	17	17	NUM
ejpam-3735	92	48	]	]	NUM
ejpam-3735	92	49	)	)	PUNCT
ejpam-3735	92	50	.	.	PUNCT
ejpam-3735	93	1	it	it	PRON
ejpam-3735	93	2	is	be	AUX
ejpam-3735	93	3	obvious	obvious	ADJ
ejpam-3735	93	4	that	that	SCONJ
ejpam-3735	93	5	a•a	a•a	PROPN
ejpam-3735	93	6	=	=	SYM
ejpam-3735	93	7	0	0	NUM
ejpam-3735	93	8	and	and	CCONJ
ejpam-3735	93	9	a?a	a?a	PROPN
ejpam-3735	93	10	=	=	SYM
ejpam-3735	93	11	0	0	NUM
ejpam-3735	93	12	.	.	PUNCT
ejpam-3735	94	1	moreover	moreover	ADV
ejpam-3735	94	2	,	,	PUNCT
ejpam-3735	94	3	a	a	DET
ejpam-3735	94	4	•	•	NOUN
ejpam-3735	94	5	0	0	NUM
ejpam-3735	94	6	=	=	NOUN
ejpam-3735	94	7	a	a	PRON
ejpam-3735	94	8	and	and	CCONJ
ejpam-3735	94	9	a	a	PRON
ejpam-3735	94	10	?	?	NOUN
ejpam-3735	94	11	0	0	NUM
ejpam-3735	95	1	=	=	PUNCT
ejpam-3735	95	2	a.	a.	NOUN
ejpam-3735	95	3	it	it	PRON
ejpam-3735	95	4	is	be	AUX
ejpam-3735	95	5	direct	direct	ADJ
ejpam-3735	95	6	to	to	PART
ejpam-3735	95	7	check	check	VERB
ejpam-3735	95	8	that	that	PRON
ejpam-3735	95	9	0	0	NUM
ejpam-3735	95	10	•	•	NOUN
ejpam-3735	95	11	(	(	PUNCT
ejpam-3735	95	12	a	a	NOUN
ejpam-3735	95	13	?	?	NOUN
ejpam-3735	96	1	b	b	X
ejpam-3735	96	2	)	)	PUNCT
ejpam-3735	96	3	=	=	SYM
ejpam-3735	96	4	b	b	X
ejpam-3735	96	5	?	?	PUNCT
ejpam-3735	97	1	a	a	PRON
ejpam-3735	97	2	and	and	CCONJ
ejpam-3735	97	3	0	0	NUM
ejpam-3735	97	4	?	?	PUNCT
ejpam-3735	98	1	(	(	PUNCT
ejpam-3735	98	2	a	a	DET
ejpam-3735	98	3	•	•	NUM
ejpam-3735	98	4	b	b	NOUN
ejpam-3735	98	5	)	)	PUNCT
ejpam-3735	98	6	=	=	SYM
ejpam-3735	99	1	b	b	NOUN
ejpam-3735	99	2	•	•	NOUN
ejpam-3735	99	3	a	a	PRON
ejpam-3735	99	4	is	be	AUX
ejpam-3735	99	5	satisfied	satisfied	ADJ
ejpam-3735	99	6	for	for	ADP
ejpam-3735	99	7	all	all	DET
ejpam-3735	99	8	a	a	PRON
ejpam-3735	99	9	,	,	PUNCT
ejpam-3735	99	10	b	b	X
ejpam-3735	99	11	∈	∈	PROPN
ejpam-3735	99	12	e.	e.	PROPN
ejpam-3735	99	13	thus	thus	ADV
ejpam-3735	99	14	(	(	PUNCT
ejpam-3735	99	15	e	e	NOUN
ejpam-3735	99	16	;	;	PUNCT
ejpam-3735	99	17	•	•	NUM
ejpam-3735	99	18	,	,	PUNCT
ejpam-3735	99	19	?	?	PUNCT
ejpam-3735	99	20	,	,	PUNCT
ejpam-3735	99	21	0	0	X
ejpam-3735	99	22	)	)	PUNCT
ejpam-3735	99	23	is	be	AUX
ejpam-3735	99	24	a	a	DET
ejpam-3735	99	25	pseudo	pseudo	NOUN
ejpam-3735	99	26	-	-	PUNCT
ejpam-3735	99	27	bf	bf	NOUN
ejpam-3735	99	28	-algebra	-algebra	NOUN
ejpam-3735	99	29	.	.	PUNCT
ejpam-3735	100	1	corollary	corollary	ADJ
ejpam-3735	100	2	1	1	NUM
ejpam-3735	100	3	.	.	PUNCT
ejpam-3735	101	1	any	any	DET
ejpam-3735	101	2	two	two	NUM
ejpam-3735	101	3	bf	bf	NOUN
ejpam-3735	101	4	-algebras	-algebra	NOUN
ejpam-3735	101	5	does	do	AUX
ejpam-3735	101	6	not	not	PART
ejpam-3735	101	7	necessarily	necessarily	ADV
ejpam-3735	101	8	construct	construct	VERB
ejpam-3735	101	9	a	a	DET
ejpam-3735	101	10	pseudo	pseudo	NOUN
ejpam-3735	101	11	-	-	NOUN
ejpam-3735	101	12	bf	bf	NOUN
ejpam-3735	101	13	-algebra	-algebra	NOUN
ejpam-3735	101	14	.	.	PUNCT
ejpam-3735	102	1	moreover	moreover	ADV
ejpam-3735	102	2	,	,	PUNCT
ejpam-3735	102	3	if	if	SCONJ
ejpam-3735	102	4	(	(	PUNCT
ejpam-3735	102	5	r	r	NOUN
ejpam-3735	102	6	;	;	PUNCT
ejpam-3735	102	7	•	•	NUM
ejpam-3735	102	8	,	,	PUNCT
ejpam-3735	102	9	?	?	PUNCT
ejpam-3735	102	10	,	,	PUNCT
ejpam-3735	102	11	0	0	X
ejpam-3735	102	12	)	)	PUNCT
ejpam-3735	102	13	is	be	AUX
ejpam-3735	102	14	a	a	DET
ejpam-3735	102	15	pseudo	pseudo	NOUN
ejpam-3735	102	16	-	-	NOUN
ejpam-3735	102	17	bf	bf	NOUN
ejpam-3735	102	18	-algebra	-algebra	NOUN
ejpam-3735	102	19	then	then	ADV
ejpam-3735	102	20	it	it	PRON
ejpam-3735	102	21	is	be	AUX
ejpam-3735	102	22	not	not	PART
ejpam-3735	102	23	necessary	necessary	ADJ
ejpam-3735	102	24	for	for	SCONJ
ejpam-3735	102	25	both	both	PRON
ejpam-3735	102	26	(	(	PUNCT
ejpam-3735	102	27	r	r	NOUN
ejpam-3735	102	28	;	;	PUNCT
ejpam-3735	102	29	•	•	NUM
ejpam-3735	102	30	,	,	PUNCT
ejpam-3735	102	31	0	0	NUM
ejpam-3735	102	32	)	)	PUNCT
ejpam-3735	102	33	and	and	CCONJ
ejpam-3735	102	34	(	(	PUNCT
ejpam-3735	102	35	r	r	NOUN
ejpam-3735	102	36	;	;	PUNCT
ejpam-3735	102	37	?	?	PUNCT
ejpam-3735	102	38	,	,	PUNCT
ejpam-3735	102	39	0	0	NUM
ejpam-3735	102	40	)	)	PUNCT
ejpam-3735	102	41	to	to	PART
ejpam-3735	102	42	be	be	AUX
ejpam-3735	102	43	a	a	DET
ejpam-3735	102	44	bf	bf	NOUN
ejpam-3735	102	45	-algebra	-algebra	NOUN
ejpam-3735	102	46	.	.	PUNCT
ejpam-3735	103	1	the	the	DET
ejpam-3735	103	2	following	follow	VERB
ejpam-3735	103	3	two	two	NUM
ejpam-3735	103	4	examples	example	NOUN
ejpam-3735	103	5	proves	prove	VERB
ejpam-3735	103	6	the	the	DET
ejpam-3735	103	7	corollary	corollary	NOUN
ejpam-3735	103	8	.	.	PUNCT
ejpam-3735	104	1	example	example	NOUN
ejpam-3735	105	1	3	3	NUM
ejpam-3735	105	2	.	.	PUNCT
ejpam-3735	105	3	define	define	VERB
ejpam-3735	105	4	the	the	DET
ejpam-3735	105	5	operations	operation	NOUN
ejpam-3735	105	6	”	"	PUNCT
ejpam-3735	105	7	•	•	NOUN
ejpam-3735	105	8	”	"	PUNCT
ejpam-3735	105	9	and	and	CCONJ
ejpam-3735	105	10	”	"	PUNCT
ejpam-3735	105	11	?	?	PUNCT
ejpam-3735	105	12	”	"	PUNCT
ejpam-3735	105	13	on	on	ADP
ejpam-3735	105	14	e	e	X
ejpam-3735	105	15	=	=	PUNCT
ejpam-3735	105	16	{	{	PUNCT
ejpam-3735	105	17	0	0	NUM
ejpam-3735	105	18	,	,	PUNCT
ejpam-3735	105	19	1	1	NUM
ejpam-3735	105	20	,	,	PUNCT
ejpam-3735	105	21	2	2	NUM
ejpam-3735	105	22	,	,	PUNCT
ejpam-3735	105	23	3	3	NUM
ejpam-3735	105	24	,	,	PUNCT
ejpam-3735	105	25	4	4	NUM
ejpam-3735	105	26	,	,	PUNCT
ejpam-3735	105	27	5	5	NUM
ejpam-3735	105	28	}	}	PUNCT
ejpam-3735	105	29	,	,	PUNCT
ejpam-3735	105	30	by	by	ADP
ejpam-3735	105	31	the	the	DET
ejpam-3735	105	32	following	following	ADJ
ejpam-3735	105	33	cayley	cayley	ADJ
ejpam-3735	105	34	tables	table	NOUN
ejpam-3735	105	35	:	:	PUNCT
ejpam-3735	105	36	table	table	NOUN
ejpam-3735	105	37	3	3	NUM
ejpam-3735	105	38	table	table	NOUN
ejpam-3735	105	39	4	4	NUM
ejpam-3735	105	40	•	•	NOUN
ejpam-3735	105	41	0	0	NUM
ejpam-3735	105	42	1	1	NUM
ejpam-3735	105	43	2	2	NUM
ejpam-3735	105	44	3	3	NUM
ejpam-3735	105	45	4	4	NUM
ejpam-3735	105	46	5	5	NUM
ejpam-3735	105	47	0	0	NUM
ejpam-3735	105	48	0	0	NUM
ejpam-3735	105	49	2	2	NUM
ejpam-3735	105	50	1	1	NUM
ejpam-3735	105	51	3	3	NUM
ejpam-3735	105	52	4	4	NUM
ejpam-3735	105	53	5	5	NUM
ejpam-3735	105	54	1	1	NUM
ejpam-3735	105	55	1	1	NUM
ejpam-3735	105	56	0	0	NUM
ejpam-3735	105	57	2	2	NUM
ejpam-3735	105	58	4	4	NUM
ejpam-3735	105	59	5	5	NUM
ejpam-3735	105	60	3	3	NUM
ejpam-3735	105	61	2	2	NUM
ejpam-3735	105	62	2	2	NUM
ejpam-3735	105	63	1	1	NUM
ejpam-3735	105	64	0	0	NUM
ejpam-3735	105	65	5	5	NUM
ejpam-3735	105	66	3	3	NUM
ejpam-3735	105	67	4	4	NUM
ejpam-3735	105	68	3	3	NUM
ejpam-3735	105	69	3	3	NUM
ejpam-3735	105	70	4	4	NUM
ejpam-3735	105	71	5	5	NUM
ejpam-3735	105	72	0	0	NUM
ejpam-3735	105	73	2	2	NUM
ejpam-3735	105	74	1	1	NUM
ejpam-3735	105	75	4	4	NUM
ejpam-3735	105	76	4	4	NUM
ejpam-3735	105	77	5	5	NUM
ejpam-3735	105	78	3	3	NUM
ejpam-3735	105	79	1	1	NUM
ejpam-3735	105	80	0	0	NUM
ejpam-3735	105	81	2	2	NUM
ejpam-3735	105	82	5	5	NUM
ejpam-3735	105	83	5	5	NUM
ejpam-3735	105	84	3	3	NUM
ejpam-3735	105	85	4	4	NUM
ejpam-3735	105	86	2	2	NUM
ejpam-3735	105	87	1	1	NUM
ejpam-3735	105	88	0	0	NUM
ejpam-3735	105	89	?	?	PUNCT
ejpam-3735	105	90	0	0	NUM
ejpam-3735	106	1	1	1	NUM
ejpam-3735	106	2	2	2	NUM
ejpam-3735	106	3	3	3	NUM
ejpam-3735	106	4	4	4	NUM
ejpam-3735	106	5	5	5	NUM
ejpam-3735	106	6	0	0	NUM
ejpam-3735	106	7	0	0	NUM
ejpam-3735	106	8	1	1	NUM
ejpam-3735	106	9	2	2	NUM
ejpam-3735	106	10	3	3	NUM
ejpam-3735	106	11	4	4	NUM
ejpam-3735	106	12	5	5	NUM
ejpam-3735	106	13	1	1	NUM
ejpam-3735	106	14	1	1	NUM
ejpam-3735	106	15	0	0	NUM
ejpam-3735	106	16	3	3	NUM
ejpam-3735	106	17	2	2	NUM
ejpam-3735	106	18	1	1	NUM
ejpam-3735	106	19	0	0	NUM
ejpam-3735	106	20	2	2	NUM
ejpam-3735	106	21	2	2	NUM
ejpam-3735	106	22	3	3	NUM
ejpam-3735	106	23	0	0	NUM
ejpam-3735	106	24	0	0	NUM
ejpam-3735	106	25	0	0	NUM
ejpam-3735	106	26	2	2	NUM
ejpam-3735	106	27	3	3	NUM
ejpam-3735	106	28	3	3	NUM
ejpam-3735	106	29	2	2	NUM
ejpam-3735	106	30	0	0	NUM
ejpam-3735	106	31	0	0	NUM
ejpam-3735	106	32	3	3	NUM
ejpam-3735	106	33	1	1	NUM
ejpam-3735	106	34	4	4	NUM
ejpam-3735	106	35	4	4	NUM
ejpam-3735	106	36	1	1	NUM
ejpam-3735	106	37	0	0	NUM
ejpam-3735	106	38	3	3	NUM
ejpam-3735	106	39	0	0	NUM
ejpam-3735	106	40	0	0	NUM
ejpam-3735	106	41	5	5	NUM
ejpam-3735	106	42	5	5	NUM
ejpam-3735	106	43	0	0	NUM
ejpam-3735	106	44	2	2	NUM
ejpam-3735	106	45	1	1	NUM
ejpam-3735	106	46	0	0	NUM
ejpam-3735	106	47	0	0	NUM
ejpam-3735	107	1	then	then	ADV
ejpam-3735	107	2	(	(	PUNCT
ejpam-3735	107	3	e	e	NOUN
ejpam-3735	107	4	;	;	PUNCT
ejpam-3735	107	5	•	•	NUM
ejpam-3735	107	6	,	,	PUNCT
ejpam-3735	107	7	0),(e	0),(e	NUM
ejpam-3735	107	8	;	;	PUNCT
ejpam-3735	107	9	?	?	PUNCT
ejpam-3735	107	10	,	,	PUNCT
ejpam-3735	107	11	0	0	X
ejpam-3735	107	12	)	)	PUNCT
ejpam-3735	107	13	are	be	AUX
ejpam-3735	107	14	bf	bf	NOUN
ejpam-3735	107	15	-algebras	-algebras	ADJ
ejpam-3735	107	16	but	but	CCONJ
ejpam-3735	107	17	(	(	PUNCT
ejpam-3735	107	18	e	e	NOUN
ejpam-3735	107	19	;	;	PUNCT
ejpam-3735	107	20	•	•	NUM
ejpam-3735	107	21	,	,	PUNCT
ejpam-3735	107	22	?	?	PUNCT
ejpam-3735	107	23	,	,	PUNCT
ejpam-3735	107	24	0	0	X
ejpam-3735	107	25	)	)	PUNCT
ejpam-3735	108	1	is	be	AUX
ejpam-3735	108	2	not	not	PART
ejpam-3735	108	3	since	since	SCONJ
ejpam-3735	108	4	0	0	NUM
ejpam-3735	108	5	•	•	NOUN
ejpam-3735	108	6	(	(	PUNCT
ejpam-3735	108	7	0	0	NUM
ejpam-3735	108	8	?	?	SYM
ejpam-3735	109	1	1	1	X
ejpam-3735	109	2	)	)	PUNCT
ejpam-3735	109	3	=	=	SYM
ejpam-3735	109	4	0	0	NUM
ejpam-3735	109	5	•	•	NUM
ejpam-3735	109	6	1	1	NUM
ejpam-3735	109	7	=	=	SYM
ejpam-3735	109	8	2	2	NUM
ejpam-3735	109	9	6=	6=	NUM
ejpam-3735	109	10	1	1	NUM
ejpam-3735	109	11	?	?	SYM
ejpam-3735	109	12	0	0	NUM
ejpam-3735	110	1	=	=	SYM
ejpam-3735	110	2	1	1	X
ejpam-3735	110	3	.	.	NOUN
ejpam-3735	110	4	example	example	NOUN
ejpam-3735	111	1	4	4	NUM
ejpam-3735	111	2	.	.	PUNCT
ejpam-3735	112	1	let	let	VERB
ejpam-3735	112	2	r	r	NOUN
ejpam-3735	112	3	be	be	AUX
ejpam-3735	112	4	the	the	DET
ejpam-3735	112	5	set	set	NOUN
ejpam-3735	112	6	of	of	ADP
ejpam-3735	112	7	real	real	ADJ
ejpam-3735	112	8	numbers	number	NOUN
ejpam-3735	112	9	.	.	PUNCT
ejpam-3735	113	1	define	define	VERB
ejpam-3735	113	2	the	the	DET
ejpam-3735	113	3	operations	operation	NOUN
ejpam-3735	113	4	”	"	PUNCT
ejpam-3735	113	5	•	•	NOUN
ejpam-3735	113	6	”	"	PUNCT
ejpam-3735	113	7	and	and	CCONJ
ejpam-3735	113	8	”	"	PUNCT
ejpam-3735	113	9	?	?	PUNCT
ejpam-3735	113	10	”	"	PUNCT
ejpam-3735	113	11	on	on	ADP
ejpam-3735	113	12	r	r	NOUN
ejpam-3735	113	13	for	for	ADP
ejpam-3735	113	14	all	all	DET
ejpam-3735	113	15	a	a	PRON
ejpam-3735	113	16	,	,	PUNCT
ejpam-3735	113	17	b	b	X
ejpam-3735	113	18	∈	∈	NOUN
ejpam-3735	113	19	r	r	NOUN
ejpam-3735	113	20	by	by	ADP
ejpam-3735	113	21	:	:	PUNCT
ejpam-3735	114	1	a	a	DET
ejpam-3735	114	2	•	•	NOUN
ejpam-3735	114	3	b	b	X
ejpam-3735	114	4	=	=	PRON
ejpam-3735	114	5			PROPN
ejpam-3735	114	6	a	a	PRON
ejpam-3735	114	7	if	if	NOUN
ejpam-3735	114	8	b	b	NOUN
ejpam-3735	114	9	=	=	SYM
ejpam-3735	114	10	0	0	NUM
ejpam-3735	114	11	,	,	PUNCT
ejpam-3735	114	12	b	b	NOUN
ejpam-3735	114	13	if	if	SCONJ
ejpam-3735	114	14	a	a	DET
ejpam-3735	114	15	=	=	SYM
ejpam-3735	114	16	0	0	NUM
ejpam-3735	114	17	,	,	PUNCT
ejpam-3735	114	18	0	0	NUM
ejpam-3735	114	19	otherwise	otherwise	ADV
ejpam-3735	114	20	.	.	PUNCT
ejpam-3735	115	1	a	a	PRON
ejpam-3735	115	2	?	?	PUNCT
ejpam-3735	116	1	b	b	X
ejpam-3735	116	2	=	=	SYM
ejpam-3735	116	3			PROPN
ejpam-3735	116	4	a	a	PRON
ejpam-3735	116	5	if	if	NOUN
ejpam-3735	116	6	b	b	NOUN
ejpam-3735	116	7	=	=	SYM
ejpam-3735	116	8	0	0	NUM
ejpam-3735	116	9	,	,	PUNCT
ejpam-3735	116	10	0	0	NUM
ejpam-3735	117	1	if	if	SCONJ
ejpam-3735	117	2	a	a	DET
ejpam-3735	117	3	=	=	NOUN
ejpam-3735	117	4	0	0	NUM
ejpam-3735	117	5	,	,	PUNCT
ejpam-3735	117	6	a	a	DET
ejpam-3735	117	7	=	=	SYM
ejpam-3735	117	8	b	b	PROPN
ejpam-3735	117	9	,	,	PUNCT
ejpam-3735	117	10	b	b	PROPN
ejpam-3735	117	11	?	?	PUNCT
ejpam-3735	118	1	a	a	DET
ejpam-3735	118	2	otherwise	otherwise	ADV
ejpam-3735	118	3	.	.	PUNCT
ejpam-3735	119	1	h.	h.	PROPN
ejpam-3735	119	2	m.	m.	PROPN
ejpam-3735	120	1	al	al	PROPN
ejpam-3735	120	2	-	-	PUNCT
ejpam-3735	120	3	malki	malki	PROPN
ejpam-3735	120	4	,	,	PUNCT
ejpam-3735	120	5	d.	d.	PROPN
ejpam-3735	120	6	s.	s.	PROPN
ejpam-3735	120	7	al	al	PROPN
ejpam-3735	120	8	-	-	PUNCT
ejpam-3735	120	9	kadi	kadi	PROPN
ejpam-3735	120	10	/	/	SYM
ejpam-3735	120	11	eur	eur	PROPN
ejpam-3735	120	12	.	.	PUNCT
ejpam-3735	121	1	j.	j.	PROPN
ejpam-3735	121	2	pure	pure	PROPN
ejpam-3735	121	3	appl	appl	PROPN
ejpam-3735	121	4	.	.	PROPN
ejpam-3735	121	5	math	math	PROPN
ejpam-3735	121	6	,	,	PUNCT
ejpam-3735	121	7	13	13	NUM
ejpam-3735	121	8	(	(	PUNCT
ejpam-3735	121	9	3	3	NUM
ejpam-3735	121	10	)	)	PUNCT
ejpam-3735	121	11	(	(	PUNCT
ejpam-3735	121	12	2020	2020	NUM
ejpam-3735	121	13	)	)	PUNCT
ejpam-3735	121	14	,	,	PUNCT
ejpam-3735	121	15	498	498	NUM
ejpam-3735	121	16	-	-	SYM
ejpam-3735	121	17	512	512	NUM
ejpam-3735	121	18	502	502	NUM
ejpam-3735	121	19	then	then	ADV
ejpam-3735	121	20	(	(	PUNCT
ejpam-3735	121	21	r	r	NOUN
ejpam-3735	121	22	;	;	PUNCT
ejpam-3735	121	23	•	•	NUM
ejpam-3735	121	24	,	,	PUNCT
ejpam-3735	121	25	?	?	PUNCT
ejpam-3735	121	26	,	,	PUNCT
ejpam-3735	121	27	0	0	X
ejpam-3735	121	28	)	)	PUNCT
ejpam-3735	121	29	is	be	AUX
ejpam-3735	121	30	a	a	DET
ejpam-3735	121	31	pseudo	pseudo	NOUN
ejpam-3735	121	32	-	-	NOUN
ejpam-3735	121	33	bf	bf	NOUN
ejpam-3735	121	34	-algebra	-algebra	NOUN
ejpam-3735	121	35	.	.	PUNCT
ejpam-3735	122	1	the	the	DET
ejpam-3735	122	2	algebra	algebra	NOUN
ejpam-3735	122	3	(	(	PUNCT
ejpam-3735	122	4	r	r	NOUN
ejpam-3735	122	5	;	;	PUNCT
ejpam-3735	122	6	•	•	NUM
ejpam-3735	122	7	,	,	PUNCT
ejpam-3735	122	8	0	0	NUM
ejpam-3735	122	9	)	)	PUNCT
ejpam-3735	122	10	is	be	AUX
ejpam-3735	122	11	bf	bf	NOUN
ejpam-3735	122	12	-algebra	-algebra	PROPN
ejpam-3735	122	13	[	[	X
ejpam-3735	122	14	17	17	NUM
ejpam-3735	122	15	]	]	PUNCT
ejpam-3735	122	16	,	,	PUNCT
ejpam-3735	122	17	but	but	CCONJ
ejpam-3735	122	18	the	the	DET
ejpam-3735	122	19	algebra	algebra	NOUN
ejpam-3735	122	20	(	(	PUNCT
ejpam-3735	122	21	r	r	NOUN
ejpam-3735	122	22	;	;	PUNCT
ejpam-3735	122	23	?	?	PUNCT
ejpam-3735	122	24	,	,	PUNCT
ejpam-3735	122	25	0	0	X
ejpam-3735	122	26	)	)	PUNCT
ejpam-3735	122	27	is	be	AUX
ejpam-3735	122	28	not	not	PART
ejpam-3735	122	29	.	.	PUNCT
ejpam-3735	123	1	proposition	proposition	NOUN
ejpam-3735	123	2	2	2	NUM
ejpam-3735	123	3	.	.	PUNCT
ejpam-3735	124	1	if	if	SCONJ
ejpam-3735	124	2	(	(	PUNCT
ejpam-3735	124	3	e	e	NOUN
ejpam-3735	124	4	;	;	PUNCT
ejpam-3735	124	5	•	•	NUM
ejpam-3735	124	6	,	,	PUNCT
ejpam-3735	124	7	?	?	PUNCT
ejpam-3735	124	8	,	,	PUNCT
ejpam-3735	124	9	0	0	X
ejpam-3735	124	10	)	)	PUNCT
ejpam-3735	124	11	is	be	AUX
ejpam-3735	124	12	a	a	DET
ejpam-3735	124	13	pseudo	pseudo	NOUN
ejpam-3735	124	14	-	-	NOUN
ejpam-3735	124	15	bf	bf	NOUN
ejpam-3735	124	16	-algebra	-algebra	NOUN
ejpam-3735	124	17	for	for	ADP
ejpam-3735	124	18	all	all	DET
ejpam-3735	124	19	a	a	PRON
ejpam-3735	124	20	,	,	PUNCT
ejpam-3735	124	21	b	b	X
ejpam-3735	124	22	∈	∈	PROPN
ejpam-3735	124	23	e	e	NOUN
ejpam-3735	124	24	then	then	ADV
ejpam-3735	124	25	(	(	PUNCT
ejpam-3735	124	26	1	1	NUM
ejpam-3735	124	27	)	)	PUNCT
ejpam-3735	124	28	0	0	NUM
ejpam-3735	124	29	•	•	NOUN
ejpam-3735	124	30	(	(	PUNCT
ejpam-3735	124	31	0	0	NUM
ejpam-3735	124	32	•	•	NOUN
ejpam-3735	124	33	a	a	NOUN
ejpam-3735	124	34	)	)	PUNCT
ejpam-3735	124	35	=	=	SYM
ejpam-3735	124	36	a	a	PRON
ejpam-3735	124	37	and	and	CCONJ
ejpam-3735	124	38	0	0	NUM
ejpam-3735	124	39	?	?	PUNCT
ejpam-3735	125	1	(	(	PUNCT
ejpam-3735	125	2	0	0	NUM
ejpam-3735	125	3	?	?	PUNCT
ejpam-3735	126	1	a	a	X
ejpam-3735	126	2	)	)	PUNCT
ejpam-3735	126	3	=	=	SYM
ejpam-3735	126	4	a	a	PRON
ejpam-3735	126	5	,	,	PUNCT
ejpam-3735	126	6	(	(	PUNCT
ejpam-3735	126	7	2	2	NUM
ejpam-3735	126	8	)	)	PUNCT
ejpam-3735	126	9	0	0	NUM
ejpam-3735	126	10	?	?	PUNCT
ejpam-3735	127	1	(	(	PUNCT
ejpam-3735	127	2	0	0	NUM
ejpam-3735	127	3	•	•	NOUN
ejpam-3735	127	4	a	a	NOUN
ejpam-3735	127	5	)	)	PUNCT
ejpam-3735	127	6	=	=	SYM
ejpam-3735	128	1	a	a	PRON
ejpam-3735	128	2	and	and	CCONJ
ejpam-3735	128	3	0	0	NUM
ejpam-3735	128	4	•	•	NOUN
ejpam-3735	128	5	(	(	PUNCT
ejpam-3735	128	6	0	0	NUM
ejpam-3735	128	7	?	?	PUNCT
ejpam-3735	129	1	a	a	X
ejpam-3735	129	2	)	)	PUNCT
ejpam-3735	129	3	=	=	SYM
ejpam-3735	130	1	a	a	PRON
ejpam-3735	130	2	,	,	PUNCT
ejpam-3735	130	3	(	(	PUNCT
ejpam-3735	130	4	3	3	NUM
ejpam-3735	130	5	)	)	PUNCT
ejpam-3735	130	6	0	0	NUM
ejpam-3735	130	7	•	•	NOUN
ejpam-3735	130	8	a	a	DET
ejpam-3735	130	9	=	=	NOUN
ejpam-3735	130	10	0	0	NUM
ejpam-3735	130	11	?	?	PUNCT
ejpam-3735	131	1	b	b	X
ejpam-3735	131	2	,	,	PUNCT
ejpam-3735	131	3	implies	imply	VERB
ejpam-3735	131	4	a	a	DET
ejpam-3735	131	5	=	=	NOUN
ejpam-3735	131	6	b.	b.	NOUN
ejpam-3735	131	7	proof	proof	NOUN
ejpam-3735	131	8	.	.	PUNCT
ejpam-3735	132	1	(	(	PUNCT
ejpam-3735	132	2	1	1	X
ejpam-3735	132	3	)	)	PUNCT
ejpam-3735	132	4	by	by	ADP
ejpam-3735	132	5	(	(	PUNCT
ejpam-3735	132	6	pbf	pbf	NOUN
ejpam-3735	132	7	(	(	PUNCT
ejpam-3735	132	8	2	2	NUM
ejpam-3735	132	9	)	)	PUNCT
ejpam-3735	132	10	)	)	PUNCT
ejpam-3735	132	11	,	,	PUNCT
ejpam-3735	132	12	(	(	PUNCT
ejpam-3735	132	13	pbf	pbf	NOUN
ejpam-3735	132	14	(	(	PUNCT
ejpam-3735	132	15	3	3	NUM
ejpam-3735	132	16	)	)	PUNCT
ejpam-3735	132	17	)	)	PUNCT
ejpam-3735	132	18	and	and	CCONJ
ejpam-3735	132	19	let	let	VERB
ejpam-3735	132	20	a	a	DET
ejpam-3735	132	21	∈	∈	NOUN
ejpam-3735	132	22	e	e	NOUN
ejpam-3735	132	23	then	then	ADV
ejpam-3735	132	24	0	0	NUM
ejpam-3735	132	25	•	•	NOUN
ejpam-3735	132	26	(	(	PUNCT
ejpam-3735	132	27	0	0	NUM
ejpam-3735	132	28	•	•	NOUN
ejpam-3735	132	29	a	a	X
ejpam-3735	132	30	)	)	PUNCT
ejpam-3735	132	31	=	=	SYM
ejpam-3735	132	32	0	0	NUM
ejpam-3735	132	33	•	•	NOUN
ejpam-3735	133	1	[	[	X
ejpam-3735	133	2	0	0	NUM
ejpam-3735	133	3	?	?	PUNCT
ejpam-3735	134	1	(	(	PUNCT
ejpam-3735	134	2	a	a	DET
ejpam-3735	134	3	•	•	NOUN
ejpam-3735	134	4	0	0	NUM
ejpam-3735	134	5	)	)	PUNCT
ejpam-3735	134	6	]	]	PUNCT
ejpam-3735	135	1	=	=	SYM
ejpam-3735	135	2	0	0	NUM
ejpam-3735	135	3	•	•	NOUN
ejpam-3735	135	4	(	(	PUNCT
ejpam-3735	135	5	0	0	NUM
ejpam-3735	135	6	?	?	PUNCT
ejpam-3735	136	1	a	a	X
ejpam-3735	136	2	)	)	PUNCT
ejpam-3735	136	3	=	=	SYM
ejpam-3735	137	1	a	a	PRON
ejpam-3735	137	2	?	?	NOUN
ejpam-3735	137	3	0	0	NUM
ejpam-3735	138	1	=	=	NOUN
ejpam-3735	138	2	a	a	PRON
ejpam-3735	138	3	and	and	CCONJ
ejpam-3735	138	4	0	0	NUM
ejpam-3735	138	5	?	?	PUNCT
ejpam-3735	139	1	(	(	PUNCT
ejpam-3735	139	2	0	0	NUM
ejpam-3735	139	3	?	?	PUNCT
ejpam-3735	140	1	a	a	X
ejpam-3735	140	2	)	)	PUNCT
ejpam-3735	140	3	=	=	SYM
ejpam-3735	140	4	0	0	PUNCT
ejpam-3735	140	5	?	?	PUNCT
ejpam-3735	141	1	[	[	X
ejpam-3735	141	2	0	0	NUM
ejpam-3735	141	3	•	•	NOUN
ejpam-3735	141	4	(	(	PUNCT
ejpam-3735	141	5	a	a	PRON
ejpam-3735	141	6	?	?	NOUN
ejpam-3735	141	7	0	0	NUM
ejpam-3735	141	8	)	)	PUNCT
ejpam-3735	141	9	]	]	PUNCT
ejpam-3735	142	1	=	=	PUNCT
ejpam-3735	142	2	0	0	PUNCT
ejpam-3735	142	3	?	?	PUNCT
ejpam-3735	143	1	(	(	PUNCT
ejpam-3735	143	2	0	0	NUM
ejpam-3735	143	3	•	•	NOUN
ejpam-3735	143	4	a	a	NOUN
ejpam-3735	143	5	)	)	PUNCT
ejpam-3735	143	6	=	=	SYM
ejpam-3735	144	1	a	a	PRON
ejpam-3735	144	2	•	•	NOUN
ejpam-3735	144	3	0	0	NUM
ejpam-3735	144	4	=	=	SYM
ejpam-3735	144	5	a.	a.	NOUN
ejpam-3735	144	6	(	(	PUNCT
ejpam-3735	144	7	2	2	X
ejpam-3735	144	8	)	)	PUNCT
ejpam-3735	144	9	let	let	VERB
ejpam-3735	144	10	a	a	DET
ejpam-3735	144	11	∈	∈	PROPN
ejpam-3735	144	12	e.	e.	PROPN
ejpam-3735	144	13	by	by	ADP
ejpam-3735	144	14	(	(	PUNCT
ejpam-3735	144	15	pbf	pbf	PROPN
ejpam-3735	144	16	(	(	PUNCT
ejpam-3735	144	17	2	2	NUM
ejpam-3735	144	18	)	)	PUNCT
ejpam-3735	144	19	)	)	PUNCT
ejpam-3735	144	20	and	and	CCONJ
ejpam-3735	144	21	(	(	PUNCT
ejpam-3735	144	22	pbf	pbf	NOUN
ejpam-3735	144	23	(	(	PUNCT
ejpam-3735	144	24	3	3	NUM
ejpam-3735	144	25	)	)	PUNCT
ejpam-3735	144	26	)	)	PUNCT
ejpam-3735	144	27	we	we	PRON
ejpam-3735	144	28	obtain	obtain	VERB
ejpam-3735	144	29	0	0	NUM
ejpam-3735	144	30	?	?	PUNCT
ejpam-3735	145	1	(	(	PUNCT
ejpam-3735	145	2	0	0	NUM
ejpam-3735	145	3	•	•	NOUN
ejpam-3735	145	4	a	a	NOUN
ejpam-3735	145	5	)	)	PUNCT
ejpam-3735	145	6	=	=	SYM
ejpam-3735	145	7	a	a	DET
ejpam-3735	145	8	•	•	NOUN
ejpam-3735	145	9	0	0	NUM
ejpam-3735	145	10	=	=	NOUN
ejpam-3735	145	11	a	a	PRON
ejpam-3735	145	12	and	and	CCONJ
ejpam-3735	145	13	0	0	NUM
ejpam-3735	145	14	•	•	NOUN
ejpam-3735	145	15	(	(	PUNCT
ejpam-3735	145	16	0	0	NUM
ejpam-3735	145	17	?	?	PUNCT
ejpam-3735	146	1	a	a	X
ejpam-3735	146	2	)	)	PUNCT
ejpam-3735	146	3	=	=	SYM
ejpam-3735	147	1	a	a	PRON
ejpam-3735	147	2	?	?	NOUN
ejpam-3735	147	3	0	0	PUNCT
ejpam-3735	148	1	=	=	SYM
ejpam-3735	148	2	a	a	PRON
ejpam-3735	148	3	,	,	PUNCT
ejpam-3735	148	4	that	that	ADV
ejpam-3735	148	5	is	is	ADV
ejpam-3735	148	6	(	(	PUNCT
ejpam-3735	148	7	2	2	NUM
ejpam-3735	148	8	)	)	PUNCT
ejpam-3735	148	9	holds	hold	NOUN
ejpam-3735	148	10	.	.	PUNCT
ejpam-3735	149	1	(	(	PUNCT
ejpam-3735	149	2	3	3	X
ejpam-3735	149	3	)	)	PUNCT
ejpam-3735	149	4	let	let	VERB
ejpam-3735	149	5	0	0	NUM
ejpam-3735	149	6	•	•	NOUN
ejpam-3735	149	7	a	a	DET
ejpam-3735	149	8	=	=	NOUN
ejpam-3735	149	9	0	0	NUM
ejpam-3735	149	10	?	?	PUNCT
ejpam-3735	150	1	b	b	X
ejpam-3735	150	2	,	,	PUNCT
ejpam-3735	150	3	then	then	ADV
ejpam-3735	150	4	it	it	PRON
ejpam-3735	150	5	follows	follow	VERB
ejpam-3735	150	6	from	from	ADP
ejpam-3735	150	7	(	(	PUNCT
ejpam-3735	150	8	1	1	NUM
ejpam-3735	150	9	)	)	PUNCT
ejpam-3735	150	10	and	and	CCONJ
ejpam-3735	150	11	(	(	PUNCT
ejpam-3735	150	12	2	2	X
ejpam-3735	150	13	)	)	PUNCT
ejpam-3735	150	14	that	that	SCONJ
ejpam-3735	150	15	a	a	DET
ejpam-3735	150	16	=	=	NOUN
ejpam-3735	150	17	0	0	NUM
ejpam-3735	150	18	?	?	PUNCT
ejpam-3735	151	1	(	(	PUNCT
ejpam-3735	151	2	0	0	NUM
ejpam-3735	151	3	•	•	NOUN
ejpam-3735	151	4	a	a	X
ejpam-3735	151	5	)	)	PUNCT
ejpam-3735	151	6	=	=	SYM
ejpam-3735	151	7	0	0	NUM
ejpam-3735	151	8	?	?	PUNCT
ejpam-3735	152	1	(	(	PUNCT
ejpam-3735	152	2	0	0	NUM
ejpam-3735	152	3	?	?	PUNCT
ejpam-3735	153	1	b	b	X
ejpam-3735	153	2	)	)	PUNCT
ejpam-3735	153	3	=	=	SYM
ejpam-3735	153	4	b.	b.	PROPN
ejpam-3735	153	5	corollary	corollary	NOUN
ejpam-3735	153	6	2	2	NUM
ejpam-3735	153	7	.	.	PUNCT
ejpam-3735	154	1	in	in	ADP
ejpam-3735	154	2	a	a	DET
ejpam-3735	154	3	pseudo	pseudo	NOUN
ejpam-3735	154	4	-	-	NOUN
ejpam-3735	154	5	bf	bf	NOUN
ejpam-3735	154	6	-algebra	-algebra	NOUN
ejpam-3735	154	7	(	(	PUNCT
ejpam-3735	154	8	e	e	NOUN
ejpam-3735	154	9	;	;	PUNCT
ejpam-3735	154	10	•	•	NUM
ejpam-3735	154	11	,	,	PUNCT
ejpam-3735	154	12	?	?	PUNCT
ejpam-3735	154	13	,	,	PUNCT
ejpam-3735	154	14	0	0	NUM
ejpam-3735	154	15	)	)	PUNCT
ejpam-3735	154	16	,	,	PUNCT
ejpam-3735	154	17	a	a	DET
ejpam-3735	154	18	•	•	NOUN
ejpam-3735	154	19	b	b	X
ejpam-3735	154	20	=	=	SYM
ejpam-3735	154	21	0	0	PROPN
ejpam-3735	154	22	does	do	AUX
ejpam-3735	154	23	not	not	PART
ejpam-3735	154	24	imply	imply	VERB
ejpam-3735	154	25	b	b	NOUN
ejpam-3735	154	26	?	?	PUNCT
ejpam-3735	155	1	a	a	DET
ejpam-3735	155	2	=	=	NOUN
ejpam-3735	155	3	0	0	NUM
ejpam-3735	155	4	and	and	CCONJ
ejpam-3735	155	5	similarly	similarly	ADV
ejpam-3735	155	6	a	a	PRON
ejpam-3735	155	7	?	?	PUNCT
ejpam-3735	156	1	b	b	X
ejpam-3735	156	2	=	=	SYM
ejpam-3735	156	3	0	0	PROPN
ejpam-3735	156	4	does	do	AUX
ejpam-3735	156	5	not	not	PART
ejpam-3735	156	6	imply	imply	VERB
ejpam-3735	156	7	b	b	NOUN
ejpam-3735	156	8	•	•	NOUN
ejpam-3735	156	9	a	a	DET
ejpam-3735	156	10	=	=	NOUN
ejpam-3735	156	11	0	0	NUM
ejpam-3735	156	12	.	.	PUNCT
ejpam-3735	157	1	∀a	∀a	NOUN
ejpam-3735	157	2	,	,	PUNCT
ejpam-3735	157	3	b	b	PROPN
ejpam-3735	157	4	∈	∈	PROPN
ejpam-3735	157	5	e.	e.	PROPN
ejpam-3735	157	6	proof	proof	PROPN
ejpam-3735	157	7	.	.	PUNCT
ejpam-3735	158	1	let	let	VERB
ejpam-3735	158	2	a	a	DET
ejpam-3735	158	3	,	,	PUNCT
ejpam-3735	158	4	b	b	X
ejpam-3735	158	5	∈	∈	PROPN
ejpam-3735	158	6	e	e	NOUN
ejpam-3735	158	7	and	and	CCONJ
ejpam-3735	158	8	a	a	DET
ejpam-3735	158	9	•	•	NOUN
ejpam-3735	158	10	b	b	NOUN
ejpam-3735	158	11	=	=	SYM
ejpam-3735	158	12	0	0	PROPN
ejpam-3735	158	13	.	.	PUNCT
ejpam-3735	159	1	then	then	ADV
ejpam-3735	159	2	0	0	NUM
ejpam-3735	159	3	=	=	SYM
ejpam-3735	159	4	0	0	NUM
ejpam-3735	159	5	?	?	PUNCT
ejpam-3735	159	6	0	0	PUNCT
ejpam-3735	160	1	=	=	SYM
ejpam-3735	160	2	0	0	NUM
ejpam-3735	160	3	?	?	PUNCT
ejpam-3735	161	1	(	(	PUNCT
ejpam-3735	161	2	a	a	DET
ejpam-3735	161	3	•	•	NUM
ejpam-3735	161	4	b	b	NOUN
ejpam-3735	161	5	)	)	PUNCT
ejpam-3735	162	1	=	=	SYM
ejpam-3735	162	2	b	b	NOUN
ejpam-3735	162	3	•	•	NOUN
ejpam-3735	163	1	a.	a.	NOUN
ejpam-3735	164	1	then	then	ADV
ejpam-3735	164	2	it	it	PRON
ejpam-3735	164	3	is	be	AUX
ejpam-3735	164	4	not	not	PART
ejpam-3735	164	5	necessary	necessary	ADJ
ejpam-3735	164	6	that	that	SCONJ
ejpam-3735	164	7	b	b	X
ejpam-3735	164	8	?	?	PUNCT
ejpam-3735	165	1	a	a	DET
ejpam-3735	165	2	=	=	NOUN
ejpam-3735	165	3	0	0	X
ejpam-3735	165	4	.	.	PUNCT
ejpam-3735	166	1	similarly	similarly	ADV
ejpam-3735	166	2	,	,	PUNCT
ejpam-3735	166	3	if	if	SCONJ
ejpam-3735	166	4	a	a	PRON
ejpam-3735	166	5	?	?	PUNCT
ejpam-3735	167	1	b	b	X
ejpam-3735	167	2	=	=	SYM
ejpam-3735	167	3	0	0	PROPN
ejpam-3735	168	1	then	then	ADV
ejpam-3735	168	2	it	it	PRON
ejpam-3735	168	3	is	be	AUX
ejpam-3735	168	4	not	not	PART
ejpam-3735	168	5	necessary	necessary	ADJ
ejpam-3735	168	6	that	that	SCONJ
ejpam-3735	168	7	b	b	X
ejpam-3735	168	8	•	•	NOUN
ejpam-3735	168	9	a	a	DET
ejpam-3735	168	10	=	=	NOUN
ejpam-3735	168	11	0	0	X
ejpam-3735	168	12	.	.	PUNCT
ejpam-3735	169	1	note	note	NOUN
ejpam-3735	169	2	:	:	PUNCT
ejpam-3735	169	3	from	from	ADP
ejpam-3735	169	4	the	the	DET
ejpam-3735	169	5	proof	proof	NOUN
ejpam-3735	169	6	of	of	ADP
ejpam-3735	169	7	(	(	PUNCT
ejpam-3735	169	8	corollary	corollary	ADJ
ejpam-3735	169	9	2	2	NUM
ejpam-3735	169	10	)	)	PUNCT
ejpam-3735	169	11	we	we	PRON
ejpam-3735	169	12	see	see	VERB
ejpam-3735	169	13	that	that	SCONJ
ejpam-3735	169	14	if	if	SCONJ
ejpam-3735	169	15	a	a	DET
ejpam-3735	169	16	•	•	NOUN
ejpam-3735	169	17	b	b	NOUN
ejpam-3735	169	18	=	=	SYM
ejpam-3735	169	19	0	0	NUM
ejpam-3735	169	20	,	,	PUNCT
ejpam-3735	169	21	then	then	ADV
ejpam-3735	169	22	b	b	NUM
ejpam-3735	169	23	•	•	NOUN
ejpam-3735	169	24	a	a	DET
ejpam-3735	169	25	=	=	NOUN
ejpam-3735	169	26	0	0	PUNCT
ejpam-3735	170	1	and	and	CCONJ
ejpam-3735	170	2	if	if	SCONJ
ejpam-3735	170	3	a	a	PRON
ejpam-3735	170	4	?	?	PUNCT
ejpam-3735	171	1	b	b	X
ejpam-3735	171	2	=	=	SYM
ejpam-3735	171	3	0	0	NUM
ejpam-3735	171	4	,	,	PUNCT
ejpam-3735	171	5	then	then	ADV
ejpam-3735	171	6	b	b	X
ejpam-3735	171	7	?	?	PUNCT
ejpam-3735	172	1	a	a	DET
ejpam-3735	172	2	=	=	NOUN
ejpam-3735	172	3	0	0	NUM
ejpam-3735	172	4	,	,	PUNCT
ejpam-3735	172	5	for	for	ADP
ejpam-3735	172	6	all	all	DET
ejpam-3735	172	7	a	a	PRON
ejpam-3735	172	8	,	,	PUNCT
ejpam-3735	172	9	b	b	PROPN
ejpam-3735	172	10	∈	∈	PROPN
ejpam-3735	172	11	e.	e.	PROPN
ejpam-3735	172	12	as	as	ADP
ejpam-3735	172	13	in	in	ADP
ejpam-3735	172	14	bf	bf	NOUN
ejpam-3735	172	15	-algebra	-algebra	PROPN
ejpam-3735	172	16	,	,	PUNCT
ejpam-3735	172	17	a	a	DET
ejpam-3735	172	18	binary	binary	ADJ
ejpam-3735	172	19	relation	relation	NOUN
ejpam-3735	172	20	”	"	PUNCT
ejpam-3735	172	21	≤	≤	NOUN
ejpam-3735	172	22	”	"	PUNCT
ejpam-3735	172	23	could	could	AUX
ejpam-3735	172	24	be	be	AUX
ejpam-3735	172	25	defined	define	VERB
ejpam-3735	172	26	in	in	ADP
ejpam-3735	172	27	pseudo	pseudo	NOUN
ejpam-3735	172	28	-	-	NOUN
ejpam-3735	172	29	bf	bf	NOUN
ejpam-3735	172	30	-algebra	-algebra	NOUN
ejpam-3735	172	31	as	as	SCONJ
ejpam-3735	172	32	follows	follow	VERB
ejpam-3735	172	33	:	:	PUNCT
ejpam-3735	173	1	a	a	DET
ejpam-3735	173	2	≤	≤	PROPN
ejpam-3735	173	3	b	b	X
ejpam-3735	173	4	⇔	⇔	X
ejpam-3735	173	5	a	a	DET
ejpam-3735	173	6	•	•	NOUN
ejpam-3735	173	7	b	b	NOUN
ejpam-3735	173	8	=	=	SYM
ejpam-3735	173	9	0	0	PROPN
ejpam-3735	173	10	⇔	⇔	PROPN
ejpam-3735	173	11	a	a	PRON
ejpam-3735	173	12	?	?	PUNCT
ejpam-3735	173	13	b	b	X
ejpam-3735	173	14	=	=	SYM
ejpam-3735	173	15	0	0	NUM
ejpam-3735	173	16	∀a	∀a	NOUN
ejpam-3735	173	17	,	,	PUNCT
ejpam-3735	173	18	b	b	PROPN
ejpam-3735	173	19	∈	∈	PROPN
ejpam-3735	173	20	e.	e.	PROPN
ejpam-3735	173	21	therefore	therefore	ADV
ejpam-3735	173	22	we	we	PRON
ejpam-3735	173	23	can	can	AUX
ejpam-3735	173	24	rewrite	rewrite	VERB
ejpam-3735	173	25	the	the	DET
ejpam-3735	173	26	definition	definition	NOUN
ejpam-3735	173	27	of	of	ADP
ejpam-3735	173	28	a	a	DET
ejpam-3735	173	29	pseudo	pseudo	NOUN
ejpam-3735	173	30	-	-	NOUN
ejpam-3735	173	31	bf	bf	NOUN
ejpam-3735	173	32	-algebra	-algebra	NOUN
ejpam-3735	173	33	with	with	ADP
ejpam-3735	173	34	a	a	DET
ejpam-3735	173	35	binary	binary	ADJ
ejpam-3735	173	36	relation	relation	NOUN
ejpam-3735	173	37	”	"	PUNCT
ejpam-3735	173	38	≤	≤	NOUN
ejpam-3735	173	39	”	"	PUNCT
ejpam-3735	173	40	as	as	SCONJ
ejpam-3735	173	41	follows	follow	VERB
ejpam-3735	173	42	:	:	PUNCT
ejpam-3735	173	43	definition	definition	NOUN
ejpam-3735	173	44	5	5	NUM
ejpam-3735	173	45	.	.	PUNCT
ejpam-3735	174	1	the	the	DET
ejpam-3735	174	2	algebra	algebra	NOUN
ejpam-3735	174	3	(	(	PUNCT
ejpam-3735	174	4	e;≤	e;≤	NOUN
ejpam-3735	174	5	,	,	PUNCT
ejpam-3735	174	6	•	•	NOUN
ejpam-3735	174	7	,	,	PUNCT
ejpam-3735	174	8	?	?	PUNCT
ejpam-3735	174	9	,	,	PUNCT
ejpam-3735	174	10	0	0	X
ejpam-3735	174	11	)	)	PUNCT
ejpam-3735	174	12	where	where	SCONJ
ejpam-3735	174	13	”	"	PUNCT
ejpam-3735	174	14	≤	≤	NUM
ejpam-3735	174	15	”	"	PUNCT
ejpam-3735	174	16	is	be	AUX
ejpam-3735	174	17	a	a	DET
ejpam-3735	174	18	binary	binary	ADJ
ejpam-3735	174	19	relation	relation	NOUN
ejpam-3735	174	20	on	on	ADP
ejpam-3735	174	21	a	a	DET
ejpam-3735	174	22	set	set	NOUN
ejpam-3735	174	23	e	e	NOUN
ejpam-3735	174	24	,	,	PUNCT
ejpam-3735	174	25	”	"	PUNCT
ejpam-3735	174	26	•	•	NOUN
ejpam-3735	174	27	”	"	PUNCT
ejpam-3735	174	28	and	and	CCONJ
ejpam-3735	174	29	”	"	PUNCT
ejpam-3735	174	30	?	?	PUNCT
ejpam-3735	174	31	”	"	PUNCT
ejpam-3735	174	32	are	be	AUX
ejpam-3735	174	33	binary	binary	ADJ
ejpam-3735	174	34	operations	operation	NOUN
ejpam-3735	174	35	on	on	ADP
ejpam-3735	174	36	e	e	NOUN
ejpam-3735	174	37	and	and	CCONJ
ejpam-3735	174	38	”	"	PUNCT
ejpam-3735	174	39	0	0	NUM
ejpam-3735	174	40	”	"	PUNCT
ejpam-3735	174	41	is	be	AUX
ejpam-3735	174	42	an	an	DET
ejpam-3735	174	43	element	element	NOUN
ejpam-3735	174	44	of	of	ADP
ejpam-3735	174	45	e	e	PROPN
ejpam-3735	174	46	,	,	PUNCT
ejpam-3735	174	47	is	be	AUX
ejpam-3735	174	48	said	say	VERB
ejpam-3735	174	49	to	to	PART
ejpam-3735	174	50	be	be	AUX
ejpam-3735	174	51	a	a	DET
ejpam-3735	174	52	pseudobf	pseudobf	ADJ
ejpam-3735	174	53	-algebra	-algebra	NOUN
ejpam-3735	174	54	if	if	SCONJ
ejpam-3735	174	55	for	for	ADP
ejpam-3735	174	56	all	all	DET
ejpam-3735	174	57	a	a	DET
ejpam-3735	174	58	,	,	PUNCT
ejpam-3735	174	59	b	b	NOUN
ejpam-3735	174	60	,	,	PUNCT
ejpam-3735	174	61	c	c	PROPN
ejpam-3735	174	62	∈	∈	PROPN
ejpam-3735	174	63	e	e	NOUN
ejpam-3735	174	64	the	the	DET
ejpam-3735	174	65	following	following	ADJ
ejpam-3735	174	66	axioms	axiom	NOUN
ejpam-3735	174	67	are	be	AUX
ejpam-3735	174	68	satisfied	satisfied	ADJ
ejpam-3735	174	69	:	:	PUNCT
ejpam-3735	174	70	(	(	PUNCT
ejpam-3735	174	71	pbf	pbf	NOUN
ejpam-3735	174	72	(	(	PUNCT
ejpam-3735	174	73	1	1	NUM
ejpam-3735	174	74	’	'	PUNCT
ejpam-3735	174	75	)	)	PUNCT
ejpam-3735	174	76	)	)	PUNCT
ejpam-3735	175	1	a	a	DET
ejpam-3735	175	2	≤	≤	ADV
ejpam-3735	175	3	a	a	PRON
ejpam-3735	175	4	,	,	PUNCT
ejpam-3735	175	5	(	(	PUNCT
ejpam-3735	175	6	pbf	pbf	NOUN
ejpam-3735	175	7	(	(	PUNCT
ejpam-3735	175	8	2	2	NUM
ejpam-3735	175	9	’	'	PUNCT
ejpam-3735	175	10	)	)	PUNCT
ejpam-3735	175	11	)	)	PUNCT
ejpam-3735	176	1	a	a	DET
ejpam-3735	176	2	•	•	NOUN
ejpam-3735	176	3	0	0	NUM
ejpam-3735	176	4	≤	≤	NOUN
ejpam-3735	176	5	a	a	PRON
ejpam-3735	176	6	and	and	CCONJ
ejpam-3735	176	7	a	a	PRON
ejpam-3735	176	8	?	?	NOUN
ejpam-3735	176	9	0	0	NUM
ejpam-3735	176	10	≤	≤	NOUN
ejpam-3735	176	11	a	a	DET
ejpam-3735	176	12	,	,	PUNCT
ejpam-3735	176	13	(	(	PUNCT
ejpam-3735	176	14	pbf	pbf	NOUN
ejpam-3735	176	15	(	(	PUNCT
ejpam-3735	176	16	3	3	NUM
ejpam-3735	176	17	’	'	PUNCT
ejpam-3735	176	18	)	)	PUNCT
ejpam-3735	176	19	)	)	PUNCT
ejpam-3735	176	20	0	0	NUM
ejpam-3735	177	1	•	•	NOUN
ejpam-3735	177	2	(	(	PUNCT
ejpam-3735	177	3	a	a	PRON
ejpam-3735	177	4	?	?	NOUN
ejpam-3735	177	5	b	b	X
ejpam-3735	177	6	)	)	PUNCT
ejpam-3735	177	7	≤	≤	NUM
ejpam-3735	177	8	b	b	NOUN
ejpam-3735	177	9	?	?	PUNCT
ejpam-3735	178	1	a	a	PRON
ejpam-3735	178	2	and	and	CCONJ
ejpam-3735	178	3	0	0	NUM
ejpam-3735	178	4	?	?	PUNCT
ejpam-3735	179	1	(	(	PUNCT
ejpam-3735	179	2	a	a	DET
ejpam-3735	179	3	•	•	NUM
ejpam-3735	179	4	b	b	NOUN
ejpam-3735	179	5	)	)	PUNCT
ejpam-3735	179	6	≤	≤	NUM
ejpam-3735	179	7	b	b	NOUN
ejpam-3735	179	8	•	•	NOUN
ejpam-3735	179	9	a	a	PRON
ejpam-3735	179	10	,	,	PUNCT
ejpam-3735	179	11	(	(	PUNCT
ejpam-3735	179	12	pbf	pbf	NOUN
ejpam-3735	179	13	(	(	PUNCT
ejpam-3735	179	14	4	4	NUM
ejpam-3735	179	15	’	'	PUNCT
ejpam-3735	179	16	)	)	PUNCT
ejpam-3735	179	17	)	)	PUNCT
ejpam-3735	180	1	a	a	DET
ejpam-3735	180	2	≤	≤	PROPN
ejpam-3735	180	3	b	b	X
ejpam-3735	180	4	⇔	⇔	X
ejpam-3735	180	5	a	a	DET
ejpam-3735	180	6	•	•	NOUN
ejpam-3735	180	7	b	b	NOUN
ejpam-3735	180	8	=	=	SYM
ejpam-3735	180	9	0	0	PROPN
ejpam-3735	180	10	⇔	⇔	PROPN
ejpam-3735	180	11	a	a	PRON
ejpam-3735	180	12	?	?	PUNCT
ejpam-3735	181	1	b	b	X
ejpam-3735	181	2	=	=	SYM
ejpam-3735	181	3	0	0	PROPN
ejpam-3735	181	4	.	.	PUNCT
ejpam-3735	182	1	h.	h.	PROPN
ejpam-3735	182	2	m.	m.	PROPN
ejpam-3735	183	1	al	al	PROPN
ejpam-3735	183	2	-	-	PUNCT
ejpam-3735	183	3	malki	malki	PROPN
ejpam-3735	183	4	,	,	PUNCT
ejpam-3735	183	5	d.	d.	PROPN
ejpam-3735	183	6	s.	s.	PROPN
ejpam-3735	183	7	al	al	PROPN
ejpam-3735	183	8	-	-	PUNCT
ejpam-3735	183	9	kadi	kadi	PROPN
ejpam-3735	183	10	/	/	SYM
ejpam-3735	183	11	eur	eur	PROPN
ejpam-3735	183	12	.	.	PUNCT
ejpam-3735	184	1	j.	j.	PROPN
ejpam-3735	184	2	pure	pure	PROPN
ejpam-3735	184	3	appl	appl	PROPN
ejpam-3735	184	4	.	.	PROPN
ejpam-3735	184	5	math	math	PROPN
ejpam-3735	184	6	,	,	PUNCT
ejpam-3735	184	7	13	13	NUM
ejpam-3735	184	8	(	(	PUNCT
ejpam-3735	184	9	3	3	NUM
ejpam-3735	184	10	)	)	PUNCT
ejpam-3735	184	11	(	(	PUNCT
ejpam-3735	184	12	2020	2020	NUM
ejpam-3735	184	13	)	)	PUNCT
ejpam-3735	184	14	,	,	PUNCT
ejpam-3735	184	15	498	498	NUM
ejpam-3735	184	16	-	-	SYM
ejpam-3735	184	17	512	512	NUM
ejpam-3735	184	18	503	503	NUM
ejpam-3735	184	19	proposition	proposition	NOUN
ejpam-3735	184	20	3	3	NUM
ejpam-3735	184	21	.	.	PUNCT
ejpam-3735	185	1	the	the	DET
ejpam-3735	185	2	following	follow	VERB
ejpam-3735	185	3	proposition	proposition	NOUN
ejpam-3735	185	4	holds	hold	VERB
ejpam-3735	185	5	in	in	ADP
ejpam-3735	185	6	any	any	DET
ejpam-3735	185	7	pseudo	pseudo	NOUN
ejpam-3735	185	8	-	-	NOUN
ejpam-3735	185	9	bf	bf	ADJ
ejpam-3735	185	10	-algebra	-algebra	NOUN
ejpam-3735	185	11	(	(	PUNCT
ejpam-3735	185	12	e;≤	e;≤	NOUN
ejpam-3735	185	13	,	,	PUNCT
ejpam-3735	185	14	•	•	NOUN
ejpam-3735	185	15	,	,	PUNCT
ejpam-3735	185	16	?	?	PUNCT
ejpam-3735	185	17	,	,	PUNCT
ejpam-3735	185	18	0	0	NUM
ejpam-3735	185	19	)	)	PUNCT
ejpam-3735	185	20	,	,	PUNCT
ejpam-3735	185	21	:	:	PUNCT
ejpam-3735	185	22	0	0	NUM
ejpam-3735	185	23	≤	≤	NOUN
ejpam-3735	185	24	a	a	PRON
ejpam-3735	185	25	implies	imply	VERB
ejpam-3735	185	26	a	a	DET
ejpam-3735	185	27	=	=	SYM
ejpam-3735	185	28	0	0	NUM
ejpam-3735	185	29	∀a	∀a	NOUN
ejpam-3735	185	30	∈	∈	PROPN
ejpam-3735	185	31	e.	e.	PROPN
ejpam-3735	185	32	proof	proof	PROPN
ejpam-3735	185	33	.	.	PUNCT
ejpam-3735	186	1	since	since	SCONJ
ejpam-3735	186	2	0	0	NUM
ejpam-3735	186	3	≤	≤	NUM
ejpam-3735	186	4	a	a	PRON
ejpam-3735	186	5	,	,	PUNCT
ejpam-3735	186	6	we	we	PRON
ejpam-3735	186	7	have	have	VERB
ejpam-3735	186	8	0	0	NUM
ejpam-3735	186	9	•	•	NOUN
ejpam-3735	186	10	a	a	DET
ejpam-3735	186	11	=	=	NOUN
ejpam-3735	186	12	0	0	NUM
ejpam-3735	186	13	?	?	PUNCT
ejpam-3735	187	1	a	a	DET
ejpam-3735	187	2	=	=	NOUN
ejpam-3735	187	3	0	0	NUM
ejpam-3735	187	4	from	from	ADP
ejpam-3735	187	5	(	(	PUNCT
ejpam-3735	187	6	pbf	pbf	NOUN
ejpam-3735	187	7	(	(	PUNCT
ejpam-3735	187	8	4	4	NUM
ejpam-3735	187	9	’	'	PUNCT
ejpam-3735	187	10	)	)	PUNCT
ejpam-3735	187	11	)	)	PUNCT
ejpam-3735	187	12	.	.	PUNCT
ejpam-3735	188	1	using	use	VERB
ejpam-3735	188	2	(	(	PUNCT
ejpam-3735	188	3	proposition	proposition	NOUN
ejpam-3735	188	4	2	2	NUM
ejpam-3735	188	5	(	(	PUNCT
ejpam-3735	188	6	1	1	NUM
ejpam-3735	188	7	)	)	PUNCT
ejpam-3735	188	8	)	)	PUNCT
ejpam-3735	188	9	,	,	PUNCT
ejpam-3735	188	10	(	(	PUNCT
ejpam-3735	188	11	pbf	pbf	NOUN
ejpam-3735	188	12	(	(	PUNCT
ejpam-3735	188	13	1	1	NUM
ejpam-3735	188	14	’	'	PUNCT
ejpam-3735	188	15	)	)	PUNCT
ejpam-3735	188	16	)	)	PUNCT
ejpam-3735	188	17	and	and	CCONJ
ejpam-3735	188	18	(	(	PUNCT
ejpam-3735	188	19	pbf	pbf	NOUN
ejpam-3735	188	20	(	(	PUNCT
ejpam-3735	188	21	4	4	NUM
ejpam-3735	188	22	’	'	PUNCT
ejpam-3735	188	23	)	)	PUNCT
ejpam-3735	188	24	)	)	PUNCT
ejpam-3735	188	25	we	we	PRON
ejpam-3735	188	26	get	get	VERB
ejpam-3735	188	27	a	a	DET
ejpam-3735	188	28	=	=	NOUN
ejpam-3735	188	29	0	0	NUM
ejpam-3735	188	30	•	•	NOUN
ejpam-3735	188	31	(	(	PUNCT
ejpam-3735	188	32	0	0	NUM
ejpam-3735	188	33	•	•	NOUN
ejpam-3735	188	34	a	a	X
ejpam-3735	188	35	)	)	PUNCT
ejpam-3735	188	36	=	=	SYM
ejpam-3735	188	37	0	0	NUM
ejpam-3735	188	38	•	•	NOUN
ejpam-3735	188	39	0	0	NUM
ejpam-3735	189	1	=	=	SYM
ejpam-3735	189	2	0	0	PROPN
ejpam-3735	189	3	.	.	PUNCT
ejpam-3735	190	1	next	next	ADV
ejpam-3735	190	2	we	we	PRON
ejpam-3735	190	3	introduce	introduce	VERB
ejpam-3735	190	4	pseudo	pseudo	NOUN
ejpam-3735	190	5	-	-	NOUN
ejpam-3735	190	6	bf	bf	NOUN
ejpam-3735	190	7	∗-algebra	∗-algebra	NOUN
ejpam-3735	190	8	and	and	CCONJ
ejpam-3735	190	9	we	we	PRON
ejpam-3735	190	10	find	find	VERB
ejpam-3735	190	11	some	some	DET
ejpam-3735	190	12	results	result	NOUN
ejpam-3735	190	13	.	.	PUNCT
ejpam-3735	191	1	definition	definition	NOUN
ejpam-3735	191	2	6	6	NUM
ejpam-3735	191	3	.	.	PUNCT
ejpam-3735	192	1	a	a	DET
ejpam-3735	192	2	pseudo	pseudo	NOUN
ejpam-3735	192	3	-	-	PUNCT
ejpam-3735	192	4	bf	bf	NOUN
ejpam-3735	192	5	-algebra	-algebra	NOUN
ejpam-3735	192	6	(	(	PUNCT
ejpam-3735	192	7	e	e	NOUN
ejpam-3735	192	8	;	;	PUNCT
ejpam-3735	192	9	•	•	NUM
ejpam-3735	192	10	,	,	PUNCT
ejpam-3735	192	11	?	?	PUNCT
ejpam-3735	192	12	,	,	PUNCT
ejpam-3735	192	13	0	0	X
ejpam-3735	192	14	)	)	PUNCT
ejpam-3735	192	15	is	be	AUX
ejpam-3735	192	16	called	call	VERB
ejpam-3735	192	17	a	a	DET
ejpam-3735	192	18	pseudo	pseudo	NOUN
ejpam-3735	192	19	-	-	NOUN
ejpam-3735	192	20	bf	bf	NOUN
ejpam-3735	192	21	∗-algebra	∗-algebra	NOUN
ejpam-3735	192	22	,	,	PUNCT
ejpam-3735	192	23	for	for	ADP
ejpam-3735	192	24	all	all	DET
ejpam-3735	192	25	a	a	DET
ejpam-3735	192	26	,	,	PUNCT
ejpam-3735	192	27	b	b	NOUN
ejpam-3735	192	28	,	,	PUNCT
ejpam-3735	192	29	c	c	PROPN
ejpam-3735	192	30	∈	∈	PROPN
ejpam-3735	192	31	e	e	NOUN
ejpam-3735	192	32	if	if	SCONJ
ejpam-3735	192	33	it	it	PRON
ejpam-3735	192	34	satisfies	satisfy	VERB
ejpam-3735	192	35	the	the	DET
ejpam-3735	192	36	following	follow	VERB
ejpam-3735	192	37	identity	identity	NOUN
ejpam-3735	192	38	:	:	PUNCT
ejpam-3735	192	39	(	(	PUNCT
ejpam-3735	192	40	pbf	pbf	NOUN
ejpam-3735	192	41	∗	∗	NOUN
ejpam-3735	192	42	)	)	PUNCT
ejpam-3735	192	43	(	(	PUNCT
ejpam-3735	192	44	a	a	DET
ejpam-3735	192	45	•	•	NUM
ejpam-3735	192	46	b	b	NOUN
ejpam-3735	192	47	)	)	PUNCT
ejpam-3735	192	48	?	?	PUNCT
ejpam-3735	193	1	c	c	X
ejpam-3735	194	1	=	=	PUNCT
ejpam-3735	195	1	(	(	PUNCT
ejpam-3735	195	2	a	a	NOUN
ejpam-3735	195	3	?	?	PUNCT
ejpam-3735	195	4	c	c	X
ejpam-3735	195	5	)	)	PUNCT
ejpam-3735	195	6	•	•	NOUN
ejpam-3735	195	7	b.	b.	NOUN
ejpam-3735	196	1	we	we	PRON
ejpam-3735	196	2	can	can	AUX
ejpam-3735	196	3	see	see	VERB
ejpam-3735	196	4	that	that	SCONJ
ejpam-3735	196	5	any	any	DET
ejpam-3735	196	6	pseudo	pseudo	NOUN
ejpam-3735	196	7	-	-	NOUN
ejpam-3735	196	8	bf	bf	NOUN
ejpam-3735	196	9	∗-algebra	∗-algebra	NOUN
ejpam-3735	196	10	is	be	AUX
ejpam-3735	196	11	a	a	DET
ejpam-3735	196	12	pseudo	pseudo	NOUN
ejpam-3735	196	13	-	-	NOUN
ejpam-3735	196	14	bf	bf	NOUN
ejpam-3735	196	15	-algebra	-algebra	NOUN
ejpam-3735	196	16	and	and	CCONJ
ejpam-3735	196	17	any	any	DET
ejpam-3735	196	18	pseudo	pseudo	NOUN
ejpam-3735	196	19	-	-	NOUN
ejpam-3735	196	20	bf	bf	NOUN
ejpam-3735	196	21	algebra	algebra	NOUN
ejpam-3735	196	22	satisfying	satisfy	VERB
ejpam-3735	196	23	(	(	PUNCT
ejpam-3735	196	24	pbf	pbf	NOUN
ejpam-3735	196	25	∗	∗	NOUN
ejpam-3735	196	26	)	)	PUNCT
ejpam-3735	196	27	is	be	AUX
ejpam-3735	196	28	a	a	DET
ejpam-3735	196	29	pseudo	pseudo	NOUN
ejpam-3735	196	30	-	-	NOUN
ejpam-3735	196	31	bf	bf	NOUN
ejpam-3735	196	32	∗-algebra	∗-algebra	NOUN
ejpam-3735	196	33	.	.	PUNCT
ejpam-3735	196	34	example	example	NOUN
ejpam-3735	197	1	5	5	NUM
ejpam-3735	197	2	.	.	PUNCT
ejpam-3735	198	1	in	in	ADP
ejpam-3735	198	2	example	example	NOUN
ejpam-3735	198	3	1	1	NUM
ejpam-3735	198	4	,	,	PUNCT
ejpam-3735	198	5	it	it	PRON
ejpam-3735	198	6	is	be	AUX
ejpam-3735	198	7	straight	straight	ADV
ejpam-3735	198	8	forward	forward	ADV
ejpam-3735	198	9	to	to	PART
ejpam-3735	198	10	see	see	VERB
ejpam-3735	198	11	that	that	PRON
ejpam-3735	198	12	(	(	PUNCT
ejpam-3735	198	13	g	g	NOUN
ejpam-3735	198	14	;	;	PUNCT
ejpam-3735	198	15	•	•	NUM
ejpam-3735	198	16	,	,	PUNCT
ejpam-3735	198	17	?	?	PUNCT
ejpam-3735	198	18	,	,	PUNCT
ejpam-3735	198	19	0	0	X
ejpam-3735	198	20	)	)	PUNCT
ejpam-3735	198	21	is	be	AUX
ejpam-3735	198	22	a	a	DET
ejpam-3735	198	23	pseudo	pseudo	NOUN
ejpam-3735	198	24	-	-	NOUN
ejpam-3735	198	25	bf	bf	NOUN
ejpam-3735	198	26	∗algebra	∗algebra	PROPN
ejpam-3735	198	27	.	.	PUNCT
ejpam-3735	198	28	example	example	NOUN
ejpam-3735	199	1	6	6	NUM
ejpam-3735	199	2	.	.	PUNCT
ejpam-3735	200	1	in	in	ADP
ejpam-3735	200	2	example	example	NOUN
ejpam-3735	200	3	2	2	NUM
ejpam-3735	200	4	,	,	PUNCT
ejpam-3735	200	5	(	(	PUNCT
ejpam-3735	200	6	e	e	NOUN
ejpam-3735	200	7	;	;	PUNCT
ejpam-3735	200	8	•	•	NUM
ejpam-3735	200	9	,	,	PUNCT
ejpam-3735	200	10	?	?	PUNCT
ejpam-3735	200	11	,	,	PUNCT
ejpam-3735	200	12	0	0	X
ejpam-3735	200	13	)	)	PUNCT
ejpam-3735	200	14	is	be	AUX
ejpam-3735	200	15	not	not	PART
ejpam-3735	200	16	a	a	DET
ejpam-3735	200	17	pseudo	pseudo	NOUN
ejpam-3735	200	18	-	-	NOUN
ejpam-3735	200	19	bf	bf	NOUN
ejpam-3735	200	20	∗-algebra	∗-algebra	NOUN
ejpam-3735	200	21	,	,	PUNCT
ejpam-3735	200	22	as	as	ADP
ejpam-3735	200	23	(	(	PUNCT
ejpam-3735	200	24	1•1)?2	1•1)?2	NUM
ejpam-3735	200	25	=	=	PUNCT
ejpam-3735	200	26	0?2	0?2	PUNCT
ejpam-3735	200	27	=	=	SYM
ejpam-3735	200	28	2	2	NUM
ejpam-3735	200	29	6=	6=	SYM
ejpam-3735	200	30	(	(	PUNCT
ejpam-3735	200	31	1	1	NUM
ejpam-3735	200	32	?	?	SYM
ejpam-3735	200	33	2	2	NUM
ejpam-3735	200	34	)	)	PUNCT
ejpam-3735	200	35	•	•	NOUN
ejpam-3735	200	36	1	1	NUM
ejpam-3735	200	37	=	=	SYM
ejpam-3735	200	38	1	1	NUM
ejpam-3735	200	39	•	•	NUM
ejpam-3735	200	40	1	1	NUM
ejpam-3735	200	41	=	=	SYM
ejpam-3735	200	42	0	0	X
ejpam-3735	200	43	.	.	PUNCT
ejpam-3735	200	44	proposition	proposition	NOUN
ejpam-3735	200	45	4	4	NUM
ejpam-3735	200	46	.	.	PUNCT
ejpam-3735	201	1	let	let	AUX
ejpam-3735	201	2	(	(	PUNCT
ejpam-3735	201	3	e;≤	e;≤	NOUN
ejpam-3735	201	4	,	,	PUNCT
ejpam-3735	201	5	•	•	NOUN
ejpam-3735	201	6	,	,	PUNCT
ejpam-3735	201	7	?	?	PUNCT
ejpam-3735	201	8	,	,	PUNCT
ejpam-3735	201	9	0	0	X
ejpam-3735	201	10	)	)	PUNCT
ejpam-3735	201	11	be	be	AUX
ejpam-3735	201	12	a	a	DET
ejpam-3735	201	13	pseudo	pseudo	NOUN
ejpam-3735	201	14	-	-	NOUN
ejpam-3735	201	15	bf	bf	NOUN
ejpam-3735	201	16	∗-algebra	∗-algebra	NOUN
ejpam-3735	201	17	.	.	PUNCT
ejpam-3735	202	1	the	the	DET
ejpam-3735	202	2	following	follow	VERB
ejpam-3735	202	3	axioms	axiom	NOUN
ejpam-3735	202	4	are	be	AUX
ejpam-3735	202	5	satisfied	satisfied	ADJ
ejpam-3735	202	6	for	for	ADP
ejpam-3735	202	7	any	any	DET
ejpam-3735	202	8	a	a	DET
ejpam-3735	202	9	,	,	PUNCT
ejpam-3735	202	10	b	b	NOUN
ejpam-3735	202	11	,	,	PUNCT
ejpam-3735	202	12	c	c	PROPN
ejpam-3735	202	13	∈	∈	PROPN
ejpam-3735	203	1	e	e	NOUN
ejpam-3735	203	2	:	:	PUNCT
ejpam-3735	203	3	(	(	PUNCT
ejpam-3735	203	4	1	1	X
ejpam-3735	203	5	)	)	PUNCT
ejpam-3735	203	6	a	a	DET
ejpam-3735	203	7	≤	≤	NUM
ejpam-3735	203	8	0	0	NUM
ejpam-3735	203	9	implies	imply	VERB
ejpam-3735	203	10	a	a	DET
ejpam-3735	203	11	=	=	SYM
ejpam-3735	203	12	0	0	NUM
ejpam-3735	203	13	,	,	PUNCT
ejpam-3735	203	14	(	(	PUNCT
ejpam-3735	203	15	2	2	X
ejpam-3735	203	16	)	)	PUNCT
ejpam-3735	203	17	a	a	DET
ejpam-3735	203	18	•	•	NOUN
ejpam-3735	203	19	(	(	PUNCT
ejpam-3735	203	20	a	a	PRON
ejpam-3735	203	21	?	?	NOUN
ejpam-3735	203	22	b	b	X
ejpam-3735	203	23	)	)	PUNCT
ejpam-3735	203	24	≤	≤	NUM
ejpam-3735	203	25	b	b	NOUN
ejpam-3735	203	26	and	and	CCONJ
ejpam-3735	203	27	a	a	PRON
ejpam-3735	203	28	?	?	PUNCT
ejpam-3735	204	1	(	(	PUNCT
ejpam-3735	204	2	a	a	DET
ejpam-3735	204	3	•	•	NUM
ejpam-3735	204	4	b	b	NOUN
ejpam-3735	204	5	)	)	PUNCT
ejpam-3735	204	6	≤	≤	NOUN
ejpam-3735	204	7	b	b	NOUN
ejpam-3735	204	8	,	,	PUNCT
ejpam-3735	204	9	(	(	PUNCT
ejpam-3735	204	10	3	3	X
ejpam-3735	204	11	)	)	PUNCT
ejpam-3735	204	12	a	a	DET
ejpam-3735	204	13	•	•	NOUN
ejpam-3735	204	14	b	b	NOUN
ejpam-3735	204	15	≤	≤	NOUN
ejpam-3735	204	16	c	c	NOUN
ejpam-3735	205	1	if	if	SCONJ
ejpam-3735	205	2	and	and	CCONJ
ejpam-3735	205	3	only	only	ADV
ejpam-3735	205	4	if	if	SCONJ
ejpam-3735	205	5	a	a	PRON
ejpam-3735	205	6	?	?	PUNCT
ejpam-3735	206	1	c	c	NOUN
ejpam-3735	206	2	≤	≤	NUM
ejpam-3735	206	3	b	b	NOUN
ejpam-3735	206	4	,	,	PUNCT
ejpam-3735	206	5	(	(	PUNCT
ejpam-3735	206	6	4	4	NUM
ejpam-3735	206	7	)	)	PUNCT
ejpam-3735	206	8	0	0	NUM
ejpam-3735	207	1	•	•	NOUN
ejpam-3735	207	2	(	(	PUNCT
ejpam-3735	207	3	a	a	DET
ejpam-3735	207	4	•	•	NUM
ejpam-3735	207	5	b	b	NOUN
ejpam-3735	207	6	)	)	PUNCT
ejpam-3735	207	7	=	=	PUNCT
ejpam-3735	207	8	(	(	PUNCT
ejpam-3735	207	9	0	0	NUM
ejpam-3735	207	10	?	?	PUNCT
ejpam-3735	208	1	a	a	PRON
ejpam-3735	208	2	)	)	PUNCT
ejpam-3735	208	3	?	?	PUNCT
ejpam-3735	209	1	(	(	PUNCT
ejpam-3735	209	2	0	0	NUM
ejpam-3735	209	3	•	•	NUM
ejpam-3735	209	4	b	b	NOUN
ejpam-3735	209	5	)	)	PUNCT
ejpam-3735	209	6	,	,	PUNCT
ejpam-3735	209	7	(	(	PUNCT
ejpam-3735	209	8	5	5	NUM
ejpam-3735	209	9	)	)	PUNCT
ejpam-3735	209	10	0	0	NUM
ejpam-3735	209	11	?	?	PUNCT
ejpam-3735	210	1	(	(	PUNCT
ejpam-3735	210	2	a	a	DET
ejpam-3735	210	3	?	?	NOUN
ejpam-3735	210	4	b	b	X
ejpam-3735	210	5	)	)	PUNCT
ejpam-3735	210	6	=	=	SYM
ejpam-3735	211	1	(	(	PUNCT
ejpam-3735	211	2	0	0	NUM
ejpam-3735	211	3	•	•	NOUN
ejpam-3735	211	4	a	a	NOUN
ejpam-3735	211	5	)	)	PUNCT
ejpam-3735	211	6	•	•	NOUN
ejpam-3735	211	7	(	(	PUNCT
ejpam-3735	211	8	0	0	NUM
ejpam-3735	211	9	?	?	PUNCT
ejpam-3735	212	1	b	b	X
ejpam-3735	212	2	)	)	PUNCT
ejpam-3735	212	3	,	,	PUNCT
ejpam-3735	212	4	(	(	PUNCT
ejpam-3735	212	5	6	6	NUM
ejpam-3735	212	6	)	)	PUNCT
ejpam-3735	212	7	0	0	NUM
ejpam-3735	213	1	•	•	NOUN
ejpam-3735	213	2	a	a	DET
ejpam-3735	213	3	=	=	NOUN
ejpam-3735	213	4	0	0	NUM
ejpam-3735	213	5	?	?	PUNCT
ejpam-3735	214	1	a.	a.	NOUN
ejpam-3735	214	2	proof	proof	NOUN
ejpam-3735	214	3	.	.	PUNCT
ejpam-3735	215	1	(	(	PUNCT
ejpam-3735	215	2	1	1	X
ejpam-3735	215	3	)	)	PUNCT
ejpam-3735	215	4	let	let	VERB
ejpam-3735	215	5	a	a	DET
ejpam-3735	215	6	≤	≤	NUM
ejpam-3735	215	7	0	0	NUM
ejpam-3735	215	8	.	.	PUNCT
ejpam-3735	216	1	then	then	ADV
ejpam-3735	216	2	a•0	a•0	PRON
ejpam-3735	216	3	=	=	PUNCT
ejpam-3735	217	1	a?0	a?0	NOUN
ejpam-3735	217	2	=	=	NOUN
ejpam-3735	217	3	0	0	NUM
ejpam-3735	217	4	by	by	ADP
ejpam-3735	217	5	(	(	PUNCT
ejpam-3735	217	6	pbf	pbf	NOUN
ejpam-3735	217	7	(	(	PUNCT
ejpam-3735	217	8	4	4	NUM
ejpam-3735	217	9	’	'	PUNCT
ejpam-3735	217	10	)	)	PUNCT
ejpam-3735	217	11	)	)	PUNCT
ejpam-3735	217	12	.	.	PUNCT
ejpam-3735	218	1	multiplying	multiply	VERB
ejpam-3735	218	2	by	by	ADP
ejpam-3735	218	3	”	"	PUNCT
ejpam-3735	218	4	a	a	PRON
ejpam-3735	218	5	”	"	PUNCT
ejpam-3735	218	6	from	from	ADP
ejpam-3735	218	7	the	the	DET
ejpam-3735	218	8	right	right	NOUN
ejpam-3735	218	9	we	we	PRON
ejpam-3735	218	10	have	have	VERB
ejpam-3735	218	11	0?a	0?a	NUM
ejpam-3735	219	1	=	=	PUNCT
ejpam-3735	219	2	(	(	PUNCT
ejpam-3735	219	3	a•0)?a	a•0)?a	VERB
ejpam-3735	219	4	=	=	SYM
ejpam-3735	219	5	(	(	PUNCT
ejpam-3735	219	6	a?a)•0	a?a)•0	NOUN
ejpam-3735	219	7	=	=	PUNCT
ejpam-3735	220	1	0•0	0•0	NOUN
ejpam-3735	220	2	=	=	PUNCT
ejpam-3735	220	3	0	0	NUM
ejpam-3735	220	4	and	and	CCONJ
ejpam-3735	220	5	0•a	0•a	NUM
ejpam-3735	220	6	=	=	SYM
ejpam-3735	220	7	(	(	PUNCT
ejpam-3735	220	8	a?0)•a	a?0)•a	PROPN
ejpam-3735	220	9	=	=	SYM
ejpam-3735	220	10	(	(	PUNCT
ejpam-3735	220	11	a•a)?0	a•a)?0	VERB
ejpam-3735	220	12	=	=	SYM
ejpam-3735	220	13	0?0	0?0	NOUN
ejpam-3735	220	14	=	=	SYM
ejpam-3735	220	15	0	0	PROPN
ejpam-3735	220	16	,	,	PUNCT
ejpam-3735	220	17	using	use	VERB
ejpam-3735	220	18	(	(	PUNCT
ejpam-3735	220	19	pbf	pbf	NOUN
ejpam-3735	220	20	∗	∗	NOUN
ejpam-3735	220	21	)	)	PUNCT
ejpam-3735	220	22	and	and	CCONJ
ejpam-3735	220	23	(	(	PUNCT
ejpam-3735	220	24	pbf	pbf	NOUN
ejpam-3735	220	25	(	(	PUNCT
ejpam-3735	220	26	1	1	NUM
ejpam-3735	220	27	’	'	PUNCT
ejpam-3735	220	28	)	)	PUNCT
ejpam-3735	220	29	)	)	PUNCT
ejpam-3735	220	30	.	.	PUNCT
ejpam-3735	221	1	now	now	ADV
ejpam-3735	221	2	,	,	PUNCT
ejpam-3735	221	3	using	use	VERB
ejpam-3735	221	4	(	(	PUNCT
ejpam-3735	221	5	proposition	proposition	NOUN
ejpam-3735	221	6	2	2	NUM
ejpam-3735	221	7	(	(	PUNCT
ejpam-3735	221	8	1	1	NUM
ejpam-3735	221	9	)	)	PUNCT
ejpam-3735	221	10	)	)	PUNCT
ejpam-3735	222	1	and	and	CCONJ
ejpam-3735	222	2	(	(	PUNCT
ejpam-3735	222	3	pbf	pbf	NOUN
ejpam-3735	222	4	(	(	PUNCT
ejpam-3735	222	5	1	1	NUM
ejpam-3735	222	6	’	'	PUNCT
ejpam-3735	222	7	)	)	PUNCT
ejpam-3735	222	8	)	)	PUNCT
ejpam-3735	222	9	,	,	PUNCT
ejpam-3735	222	10	we	we	PRON
ejpam-3735	222	11	get	get	VERB
ejpam-3735	222	12	a	a	DET
ejpam-3735	222	13	=	=	NOUN
ejpam-3735	222	14	0	0	NUM
ejpam-3735	222	15	•	•	NOUN
ejpam-3735	222	16	(	(	PUNCT
ejpam-3735	222	17	0	0	NUM
ejpam-3735	222	18	•	•	NOUN
ejpam-3735	222	19	a	a	X
ejpam-3735	222	20	)	)	PUNCT
ejpam-3735	222	21	=	=	SYM
ejpam-3735	222	22	0	0	NUM
ejpam-3735	222	23	•	•	NOUN
ejpam-3735	222	24	0	0	NUM
ejpam-3735	223	1	=	=	SYM
ejpam-3735	223	2	0	0	PROPN
ejpam-3735	223	3	.	.	PUNCT
ejpam-3735	224	1	(	(	PUNCT
ejpam-3735	224	2	2	2	NUM
ejpam-3735	224	3	)	)	PUNCT
ejpam-3735	224	4	from	from	ADP
ejpam-3735	224	5	(	(	PUNCT
ejpam-3735	224	6	pbf	pbf	NOUN
ejpam-3735	224	7	∗	∗	NOUN
ejpam-3735	224	8	)	)	PUNCT
ejpam-3735	224	9	,	,	PUNCT
ejpam-3735	224	10	(	(	PUNCT
ejpam-3735	224	11	pbf	pbf	NOUN
ejpam-3735	224	12	(	(	PUNCT
ejpam-3735	224	13	1	1	NUM
ejpam-3735	224	14	’	'	PUNCT
ejpam-3735	224	15	)	)	PUNCT
ejpam-3735	224	16	)	)	PUNCT
ejpam-3735	225	1	and	and	CCONJ
ejpam-3735	225	2	(	(	PUNCT
ejpam-3735	225	3	pbf	pbf	NOUN
ejpam-3735	225	4	(	(	PUNCT
ejpam-3735	225	5	4	4	NUM
ejpam-3735	225	6	’	'	PUNCT
ejpam-3735	225	7	)	)	PUNCT
ejpam-3735	225	8	)	)	PUNCT
ejpam-3735	225	9	,	,	PUNCT
ejpam-3735	225	10	we	we	PRON
ejpam-3735	225	11	have	have	VERB
ejpam-3735	225	12	[	[	X
ejpam-3735	225	13	a	a	DET
ejpam-3735	225	14	•	•	NOUN
ejpam-3735	225	15	(	(	PUNCT
ejpam-3735	225	16	a	a	PRON
ejpam-3735	225	17	?	?	PUNCT
ejpam-3735	225	18	b	b	X
ejpam-3735	225	19	)	)	PUNCT
ejpam-3735	225	20	]	]	PUNCT
ejpam-3735	225	21	?	?	PUNCT
ejpam-3735	226	1	b	b	X
ejpam-3735	226	2	=	=	PUNCT
ejpam-3735	226	3	(	(	PUNCT
ejpam-3735	226	4	a	a	PRON
ejpam-3735	226	5	?	?	PUNCT
ejpam-3735	227	1	b	b	X
ejpam-3735	227	2	)	)	PUNCT
ejpam-3735	227	3	•	•	NOUN
ejpam-3735	227	4	(	(	PUNCT
ejpam-3735	227	5	a	a	PRON
ejpam-3735	227	6	?	?	PUNCT
ejpam-3735	228	1	b	b	X
ejpam-3735	228	2	)	)	PUNCT
ejpam-3735	228	3	=	=	SYM
ejpam-3735	228	4	0	0	NUM
ejpam-3735	229	1	and	and	CCONJ
ejpam-3735	229	2	[	[	X
ejpam-3735	229	3	a	a	X
ejpam-3735	229	4	?	?	PUNCT
ejpam-3735	230	1	(	(	PUNCT
ejpam-3735	230	2	a	a	DET
ejpam-3735	230	3	•	•	NUM
ejpam-3735	230	4	b	b	NOUN
ejpam-3735	230	5	)	)	PUNCT
ejpam-3735	230	6	]	]	PUNCT
ejpam-3735	231	1	•	•	NUM
ejpam-3735	231	2	b	b	X
ejpam-3735	231	3	=	=	PUNCT
ejpam-3735	231	4	(	(	PUNCT
ejpam-3735	231	5	a	a	DET
ejpam-3735	231	6	•	•	NUM
ejpam-3735	231	7	b	b	NOUN
ejpam-3735	231	8	)	)	PUNCT
ejpam-3735	231	9	?	?	PUNCT
ejpam-3735	232	1	(	(	PUNCT
ejpam-3735	232	2	a	a	DET
ejpam-3735	232	3	•	•	NUM
ejpam-3735	232	4	b	b	NOUN
ejpam-3735	232	5	)	)	PUNCT
ejpam-3735	232	6	=	=	SYM
ejpam-3735	232	7	0	0	X
ejpam-3735	232	8	.	.	PUNCT
ejpam-3735	233	1	thus	thus	ADV
ejpam-3735	233	2	a	a	DET
ejpam-3735	233	3	•	•	NOUN
ejpam-3735	233	4	(	(	PUNCT
ejpam-3735	233	5	a	a	PRON
ejpam-3735	233	6	?	?	NOUN
ejpam-3735	233	7	b	b	X
ejpam-3735	233	8	)	)	PUNCT
ejpam-3735	233	9	≤	≤	NUM
ejpam-3735	233	10	b	b	NOUN
ejpam-3735	233	11	and	and	CCONJ
ejpam-3735	233	12	a	a	PRON
ejpam-3735	233	13	?	?	PUNCT
ejpam-3735	234	1	(	(	PUNCT
ejpam-3735	234	2	a	a	DET
ejpam-3735	234	3	•	•	NUM
ejpam-3735	234	4	b	b	NOUN
ejpam-3735	234	5	)	)	PUNCT
ejpam-3735	234	6	≤	≤	PROPN
ejpam-3735	234	7	b.	b.	PROPN
ejpam-3735	234	8	(	(	PUNCT
ejpam-3735	234	9	3	3	NUM
ejpam-3735	234	10	)	)	PUNCT
ejpam-3735	234	11	by	by	ADP
ejpam-3735	234	12	(	(	PUNCT
ejpam-3735	234	13	pbf	pbf	NOUN
ejpam-3735	234	14	∗	∗	NOUN
ejpam-3735	234	15	)	)	PUNCT
ejpam-3735	234	16	and	and	CCONJ
ejpam-3735	234	17	(	(	PUNCT
ejpam-3735	234	18	pbf	pbf	NOUN
ejpam-3735	234	19	(	(	PUNCT
ejpam-3735	234	20	4	4	NUM
ejpam-3735	234	21	’	'	PUNCT
ejpam-3735	234	22	)	)	PUNCT
ejpam-3735	234	23	)	)	PUNCT
ejpam-3735	235	1	we	we	PRON
ejpam-3735	235	2	have	have	VERB
ejpam-3735	235	3	a	a	DET
ejpam-3735	235	4	•	•	NOUN
ejpam-3735	235	5	b	b	NOUN
ejpam-3735	235	6	≤	≤	NOUN
ejpam-3735	235	7	c	c	X
ejpam-3735	235	8	⇔	⇔	X
ejpam-3735	235	9	(	(	PUNCT
ejpam-3735	235	10	a	a	DET
ejpam-3735	235	11	•	•	NUM
ejpam-3735	235	12	b	b	NOUN
ejpam-3735	235	13	)	)	PUNCT
ejpam-3735	235	14	?	?	PUNCT
ejpam-3735	236	1	c	c	NOUN
ejpam-3735	236	2	=	=	SYM
ejpam-3735	236	3	0	0	NUM
ejpam-3735	236	4	⇔	⇔	X
ejpam-3735	236	5	(	(	PUNCT
ejpam-3735	236	6	a	a	NOUN
ejpam-3735	236	7	?	?	PUNCT
ejpam-3735	237	1	c	c	X
ejpam-3735	237	2	)	)	PUNCT
ejpam-3735	237	3	•	•	PROPN
ejpam-3735	237	4	b	b	X
ejpam-3735	237	5	=	=	SYM
ejpam-3735	237	6	0	0	PROPN
ejpam-3735	237	7	⇔	⇔	PROPN
ejpam-3735	237	8	a	a	X
ejpam-3735	237	9	?	?	PUNCT
ejpam-3735	238	1	c	c	NOUN
ejpam-3735	238	2	≤	≤	PROPN
ejpam-3735	238	3	b.	b.	PROPN
ejpam-3735	238	4	h.	h.	PROPN
ejpam-3735	238	5	m.	m.	PROPN
ejpam-3735	238	6	al	al	PROPN
ejpam-3735	238	7	-	-	PUNCT
ejpam-3735	238	8	malki	malki	PROPN
ejpam-3735	238	9	,	,	PUNCT
ejpam-3735	238	10	d.	d.	PROPN
ejpam-3735	238	11	s.	s.	PROPN
ejpam-3735	238	12	al	al	PROPN
ejpam-3735	238	13	-	-	PUNCT
ejpam-3735	238	14	kadi	kadi	PROPN
ejpam-3735	238	15	/	/	SYM
ejpam-3735	238	16	eur	eur	PROPN
ejpam-3735	238	17	.	.	PUNCT
ejpam-3735	239	1	j.	j.	PROPN
ejpam-3735	239	2	pure	pure	PROPN
ejpam-3735	239	3	appl	appl	PROPN
ejpam-3735	239	4	.	.	PROPN
ejpam-3735	239	5	math	math	PROPN
ejpam-3735	239	6	,	,	PUNCT
ejpam-3735	239	7	13	13	NUM
ejpam-3735	239	8	(	(	PUNCT
ejpam-3735	239	9	3	3	NUM
ejpam-3735	239	10	)	)	PUNCT
ejpam-3735	239	11	(	(	PUNCT
ejpam-3735	239	12	2020	2020	NUM
ejpam-3735	239	13	)	)	PUNCT
ejpam-3735	239	14	,	,	PUNCT
ejpam-3735	239	15	498	498	NUM
ejpam-3735	239	16	-	-	SYM
ejpam-3735	239	17	512	512	NUM
ejpam-3735	239	18	504	504	NUM
ejpam-3735	239	19	(	(	PUNCT
ejpam-3735	239	20	4	4	NUM
ejpam-3735	239	21	)	)	PUNCT
ejpam-3735	239	22	let	let	VERB
ejpam-3735	239	23	a	a	DET
ejpam-3735	239	24	,	,	PUNCT
ejpam-3735	239	25	b	b	X
ejpam-3735	239	26	∈	∈	PROPN
ejpam-3735	239	27	e.	e.	PROPN
ejpam-3735	239	28	then	then	ADV
ejpam-3735	239	29	by	by	ADP
ejpam-3735	239	30	using	use	VERB
ejpam-3735	239	31	(	(	PUNCT
ejpam-3735	239	32	pbf	pbf	NOUN
ejpam-3735	239	33	(	(	PUNCT
ejpam-3735	239	34	1	1	NUM
ejpam-3735	239	35	’	'	PUNCT
ejpam-3735	239	36	)	)	PUNCT
ejpam-3735	239	37	)	)	PUNCT
ejpam-3735	239	38	,	,	PUNCT
ejpam-3735	239	39	(	(	PUNCT
ejpam-3735	239	40	pbf	pbf	NOUN
ejpam-3735	239	41	(	(	PUNCT
ejpam-3735	239	42	4	4	NUM
ejpam-3735	239	43	’	'	PUNCT
ejpam-3735	239	44	)	)	PUNCT
ejpam-3735	239	45	)	)	PUNCT
ejpam-3735	240	1	and	and	CCONJ
ejpam-3735	240	2	(	(	PUNCT
ejpam-3735	240	3	pbf	pbf	NOUN
ejpam-3735	240	4	∗	∗	NOUN
ejpam-3735	240	5	)	)	PUNCT
ejpam-3735	240	6	when	when	SCONJ
ejpam-3735	240	7	needed	need	VERB
ejpam-3735	240	8	we	we	PRON
ejpam-3735	240	9	have	have	VERB
ejpam-3735	240	10	(	(	PUNCT
ejpam-3735	240	11	0	0	NUM
ejpam-3735	240	12	?	?	PUNCT
ejpam-3735	241	1	a	a	PRON
ejpam-3735	241	2	)	)	PUNCT
ejpam-3735	241	3	?	?	PUNCT
ejpam-3735	242	1	(	(	PUNCT
ejpam-3735	242	2	0	0	NUM
ejpam-3735	242	3	•	•	NUM
ejpam-3735	242	4	b	b	NOUN
ejpam-3735	242	5	)	)	PUNCT
ejpam-3735	242	6	=	=	SYM
ejpam-3735	243	1	(	(	PUNCT
ejpam-3735	243	2	[	[	X
ejpam-3735	243	3	(	(	PUNCT
ejpam-3735	243	4	a	a	DET
ejpam-3735	243	5	•	•	NUM
ejpam-3735	243	6	b	b	NOUN
ejpam-3735	243	7	)	)	PUNCT
ejpam-3735	243	8	•	•	NOUN
ejpam-3735	243	9	(	(	PUNCT
ejpam-3735	243	10	a	a	DET
ejpam-3735	243	11	•	•	NUM
ejpam-3735	243	12	b	b	NOUN
ejpam-3735	243	13	)	)	PUNCT
ejpam-3735	243	14	]	]	PUNCT
ejpam-3735	243	15	?	?	PUNCT
ejpam-3735	244	1	a	a	X
ejpam-3735	244	2	)	)	PUNCT
ejpam-3735	244	3	?	?	PUNCT
ejpam-3735	245	1	(	(	PUNCT
ejpam-3735	245	2	0	0	NUM
ejpam-3735	245	3	•	•	NUM
ejpam-3735	245	4	b	b	NOUN
ejpam-3735	245	5	)	)	PUNCT
ejpam-3735	245	6	=	=	SYM
ejpam-3735	246	1	(	(	PUNCT
ejpam-3735	246	2	[	[	X
ejpam-3735	246	3	(	(	PUNCT
ejpam-3735	246	4	a	a	DET
ejpam-3735	246	5	•	•	NUM
ejpam-3735	246	6	b	b	NOUN
ejpam-3735	246	7	)	)	PUNCT
ejpam-3735	246	8	?	?	PUNCT
ejpam-3735	247	1	a	a	PRON
ejpam-3735	247	2	]	]	X
ejpam-3735	247	3	•	•	NOUN
ejpam-3735	247	4	(	(	PUNCT
ejpam-3735	247	5	a	a	DET
ejpam-3735	247	6	•	•	NUM
ejpam-3735	247	7	b	b	NOUN
ejpam-3735	247	8	)	)	PUNCT
ejpam-3735	247	9	)	)	PUNCT
ejpam-3735	247	10	?	?	PUNCT
ejpam-3735	248	1	(	(	PUNCT
ejpam-3735	248	2	0	0	NUM
ejpam-3735	248	3	•	•	NUM
ejpam-3735	248	4	b	b	NOUN
ejpam-3735	248	5	)	)	PUNCT
ejpam-3735	248	6	=	=	SYM
ejpam-3735	249	1	(	(	PUNCT
ejpam-3735	249	2	[	[	X
ejpam-3735	249	3	(	(	PUNCT
ejpam-3735	249	4	a?a)•b]•(a•b))?(0•b	a?a)•b]•(a•b))?(0•b	NOUN
ejpam-3735	249	5	)	)	PUNCT
ejpam-3735	249	6	=	=	PRON
ejpam-3735	250	1	(	(	PUNCT
ejpam-3735	250	2	(	(	PUNCT
ejpam-3735	250	3	0•b)•(a•b))?(0•b	0•b)•(a•b))?(0•b	NOUN
ejpam-3735	250	4	)	)	PUNCT
ejpam-3735	250	5	=	=	SYM
ejpam-3735	250	6	(	(	PUNCT
ejpam-3735	250	7	(	(	PUNCT
ejpam-3735	250	8	0•b)?(0•b))•(a•b	0•b)?(0•b))•(a•b	NUM
ejpam-3735	250	9	)	)	PUNCT
ejpam-3735	250	10	=	=	SYM
ejpam-3735	250	11	0•(a•b	0•(a•b	PROPN
ejpam-3735	250	12	)	)	PUNCT
ejpam-3735	250	13	.	.	PUNCT
ejpam-3735	251	1	(	(	PUNCT
ejpam-3735	251	2	5	5	X
ejpam-3735	251	3	)	)	PUNCT
ejpam-3735	251	4	can	can	AUX
ejpam-3735	251	5	be	be	AUX
ejpam-3735	251	6	proved	prove	VERB
ejpam-3735	251	7	as	as	ADP
ejpam-3735	251	8	(	(	PUNCT
ejpam-3735	251	9	4	4	NUM
ejpam-3735	251	10	)	)	PUNCT
ejpam-3735	251	11	.	.	PUNCT
ejpam-3735	252	1	(	(	PUNCT
ejpam-3735	252	2	6	6	X
ejpam-3735	252	3	)	)	PUNCT
ejpam-3735	252	4	let	let	VERB
ejpam-3735	252	5	a	a	DET
ejpam-3735	252	6	∈	∈	PROPN
ejpam-3735	252	7	e.	e.	PROPN
ejpam-3735	252	8	from	from	ADP
ejpam-3735	252	9	(	(	PUNCT
ejpam-3735	252	10	pbf	pbf	NOUN
ejpam-3735	252	11	(	(	PUNCT
ejpam-3735	252	12	1	1	NUM
ejpam-3735	252	13	’	'	PUNCT
ejpam-3735	252	14	)	)	PUNCT
ejpam-3735	252	15	)	)	PUNCT
ejpam-3735	252	16	,	,	PUNCT
ejpam-3735	252	17	(	(	PUNCT
ejpam-3735	252	18	pbf	pbf	NOUN
ejpam-3735	252	19	(	(	PUNCT
ejpam-3735	252	20	4	4	NUM
ejpam-3735	252	21	’	'	PUNCT
ejpam-3735	252	22	)	)	PUNCT
ejpam-3735	252	23	)	)	PUNCT
ejpam-3735	252	24	and	and	CCONJ
ejpam-3735	252	25	(	(	PUNCT
ejpam-3735	252	26	pbf	pbf	NOUN
ejpam-3735	252	27	∗	∗	NOUN
ejpam-3735	252	28	)	)	PUNCT
ejpam-3735	252	29	we	we	PRON
ejpam-3735	252	30	have	have	VERB
ejpam-3735	252	31	0	0	NUM
ejpam-3735	252	32	•	•	NOUN
ejpam-3735	252	33	a	a	DET
ejpam-3735	252	34	=	=	X
ejpam-3735	252	35	(	(	PUNCT
ejpam-3735	252	36	a	a	NOUN
ejpam-3735	252	37	?	?	PUNCT
ejpam-3735	252	38	a	a	X
ejpam-3735	252	39	)	)	PUNCT
ejpam-3735	252	40	•	•	NOUN
ejpam-3735	252	41	a	a	DET
ejpam-3735	252	42	=	=	X
ejpam-3735	252	43	(	(	PUNCT
ejpam-3735	252	44	a	a	DET
ejpam-3735	252	45	•	•	NOUN
ejpam-3735	252	46	a	a	NOUN
ejpam-3735	252	47	)	)	PUNCT
ejpam-3735	252	48	?	?	PUNCT
ejpam-3735	253	1	a	a	DET
ejpam-3735	253	2	=	=	NOUN
ejpam-3735	253	3	0	0	NUM
ejpam-3735	253	4	?	?	PUNCT
ejpam-3735	254	1	a.	a.	NOUN
ejpam-3735	254	2	theorem	theorem	NOUN
ejpam-3735	254	3	3	3	NUM
ejpam-3735	254	4	.	.	PUNCT
ejpam-3735	255	1	in	in	ADP
ejpam-3735	255	2	a	a	DET
ejpam-3735	255	3	pseudo	pseudo	NOUN
ejpam-3735	255	4	-	-	NOUN
ejpam-3735	255	5	bf	bf	NOUN
ejpam-3735	255	6	∗-algebra	∗-algebra	NOUN
ejpam-3735	255	7	(	(	PUNCT
ejpam-3735	255	8	e;≤	e;≤	NOUN
ejpam-3735	255	9	,	,	PUNCT
ejpam-3735	255	10	•	•	NOUN
ejpam-3735	255	11	,	,	PUNCT
ejpam-3735	255	12	?	?	PUNCT
ejpam-3735	255	13	,	,	PUNCT
ejpam-3735	255	14	0	0	NUM
ejpam-3735	255	15	)	)	PUNCT
ejpam-3735	255	16	,	,	PUNCT
ejpam-3735	255	17	we	we	PRON
ejpam-3735	255	18	have	have	VERB
ejpam-3735	255	19	:	:	PUNCT
ejpam-3735	255	20	a	a	DET
ejpam-3735	255	21	≤	≤	PROPN
ejpam-3735	255	22	b	b	NOUN
ejpam-3735	255	23	and	and	CCONJ
ejpam-3735	255	24	b	b	NOUN
ejpam-3735	255	25	≤	≤	NOUN
ejpam-3735	255	26	a	a	DET
ejpam-3735	255	27	imply	imply	NOUN
ejpam-3735	255	28	a	a	DET
ejpam-3735	255	29	=	=	SYM
ejpam-3735	255	30	b	b	NOUN
ejpam-3735	255	31	,	,	PUNCT
ejpam-3735	255	32	for	for	ADP
ejpam-3735	255	33	all	all	DET
ejpam-3735	255	34	a	a	PRON
ejpam-3735	255	35	,	,	PUNCT
ejpam-3735	255	36	b	b	PROPN
ejpam-3735	255	37	∈	∈	PROPN
ejpam-3735	255	38	e.	e.	PROPN
ejpam-3735	255	39	proof	proof	PROPN
ejpam-3735	255	40	.	.	PUNCT
ejpam-3735	256	1	let	let	VERB
ejpam-3735	256	2	a	a	DET
ejpam-3735	256	3	≤	≤	NUM
ejpam-3735	256	4	b	b	NOUN
ejpam-3735	256	5	and	and	CCONJ
ejpam-3735	256	6	b	b	NOUN
ejpam-3735	256	7	≤	≤	NOUN
ejpam-3735	256	8	a	a	DET
ejpam-3735	256	9	then	then	ADV
ejpam-3735	256	10	a	a	DET
ejpam-3735	256	11	•	•	NOUN
ejpam-3735	256	12	b	b	NOUN
ejpam-3735	256	13	=	=	SYM
ejpam-3735	256	14	0	0	PROPN
ejpam-3735	256	15	,	,	PUNCT
ejpam-3735	256	16	a	a	PRON
ejpam-3735	256	17	?	?	PUNCT
ejpam-3735	257	1	b	b	X
ejpam-3735	257	2	=	=	SYM
ejpam-3735	257	3	0	0	NUM
ejpam-3735	257	4	and	and	CCONJ
ejpam-3735	257	5	b	b	NUM
ejpam-3735	257	6	•	•	NOUN
ejpam-3735	257	7	a	a	DET
ejpam-3735	257	8	=	=	NOUN
ejpam-3735	257	9	0	0	NUM
ejpam-3735	257	10	,	,	PUNCT
ejpam-3735	257	11	b	b	NOUN
ejpam-3735	257	12	?	?	PUNCT
ejpam-3735	258	1	a	a	DET
ejpam-3735	258	2	=	=	NOUN
ejpam-3735	258	3	0	0	NUM
ejpam-3735	258	4	.	.	PUNCT
ejpam-3735	259	1	by	by	ADP
ejpam-3735	259	2	(	(	PUNCT
ejpam-3735	259	3	proposition	proposition	NOUN
ejpam-3735	259	4	2	2	NUM
ejpam-3735	259	5	(	(	PUNCT
ejpam-3735	259	6	2	2	NUM
ejpam-3735	259	7	)	)	PUNCT
ejpam-3735	259	8	)	)	PUNCT
ejpam-3735	259	9	,	,	PUNCT
ejpam-3735	259	10	we	we	PRON
ejpam-3735	259	11	have	have	VERB
ejpam-3735	259	12	a	a	DET
ejpam-3735	259	13	=	=	NOUN
ejpam-3735	259	14	0	0	NUM
ejpam-3735	259	15	?	?	PUNCT
ejpam-3735	260	1	(	(	PUNCT
ejpam-3735	260	2	0	0	NUM
ejpam-3735	260	3	•	•	NOUN
ejpam-3735	260	4	a	a	X
ejpam-3735	260	5	)	)	PUNCT
ejpam-3735	260	6	=	=	SYM
ejpam-3735	260	7	0	0	PUNCT
ejpam-3735	260	8	?	?	PUNCT
ejpam-3735	261	1	[	[	X
ejpam-3735	261	2	(	(	PUNCT
ejpam-3735	261	3	a	a	DET
ejpam-3735	261	4	?	?	PUNCT
ejpam-3735	261	5	b	b	X
ejpam-3735	261	6	)	)	PUNCT
ejpam-3735	261	7	•	•	NOUN
ejpam-3735	261	8	a	a	PRON
ejpam-3735	261	9	]	]	X
ejpam-3735	261	10	.	.	PUNCT
ejpam-3735	262	1	by	by	ADP
ejpam-3735	262	2	using	use	VERB
ejpam-3735	262	3	(	(	PUNCT
ejpam-3735	262	4	pbf	pbf	NOUN
ejpam-3735	262	5	∗	∗	NOUN
ejpam-3735	262	6	)	)	PUNCT
ejpam-3735	262	7	,	,	PUNCT
ejpam-3735	262	8	(	(	PUNCT
ejpam-3735	262	9	pbf	pbf	NOUN
ejpam-3735	262	10	(	(	PUNCT
ejpam-3735	262	11	1	1	NUM
ejpam-3735	262	12	’	'	PUNCT
ejpam-3735	262	13	)	)	PUNCT
ejpam-3735	262	14	)	)	PUNCT
ejpam-3735	262	15	and	and	CCONJ
ejpam-3735	262	16	(	(	PUNCT
ejpam-3735	262	17	pbf	pbf	NOUN
ejpam-3735	262	18	(	(	PUNCT
ejpam-3735	262	19	4	4	NUM
ejpam-3735	262	20	’	'	PUNCT
ejpam-3735	262	21	)	)	PUNCT
ejpam-3735	262	22	)	)	PUNCT
ejpam-3735	263	1	we	we	PRON
ejpam-3735	263	2	get	get	VERB
ejpam-3735	263	3	0	0	NUM
ejpam-3735	263	4	?	?	PUNCT
ejpam-3735	264	1	[	[	X
ejpam-3735	264	2	(	(	PUNCT
ejpam-3735	264	3	a	a	DET
ejpam-3735	264	4	?	?	PUNCT
ejpam-3735	264	5	b	b	X
ejpam-3735	264	6	)	)	PUNCT
ejpam-3735	264	7	•	•	NOUN
ejpam-3735	264	8	a	a	X
ejpam-3735	264	9	]	]	X
ejpam-3735	264	10	=	=	SYM
ejpam-3735	264	11	0	0	NUM
ejpam-3735	264	12	?	?	PUNCT
ejpam-3735	265	1	[	[	X
ejpam-3735	265	2	(	(	PUNCT
ejpam-3735	265	3	a	a	DET
ejpam-3735	265	4	•	•	NOUN
ejpam-3735	265	5	a	a	NOUN
ejpam-3735	265	6	)	)	PUNCT
ejpam-3735	265	7	?	?	PUNCT
ejpam-3735	266	1	b	b	X
ejpam-3735	266	2	]	]	X
ejpam-3735	266	3	=	=	SYM
ejpam-3735	266	4	0	0	NUM
ejpam-3735	266	5	?	?	PUNCT
ejpam-3735	267	1	(	(	PUNCT
ejpam-3735	267	2	0	0	NUM
ejpam-3735	267	3	?	?	PUNCT
ejpam-3735	268	1	b	b	X
ejpam-3735	268	2	)	)	PUNCT
ejpam-3735	268	3	.	.	PUNCT
ejpam-3735	269	1	by	by	ADP
ejpam-3735	269	2	(	(	PUNCT
ejpam-3735	269	3	proposition	proposition	NOUN
ejpam-3735	269	4	2	2	NUM
ejpam-3735	269	5	(	(	PUNCT
ejpam-3735	269	6	1	1	NUM
ejpam-3735	269	7	)	)	PUNCT
ejpam-3735	269	8	)	)	PUNCT
ejpam-3735	269	9	,	,	PUNCT
ejpam-3735	269	10	we	we	PRON
ejpam-3735	269	11	get	get	VERB
ejpam-3735	269	12	0	0	NUM
ejpam-3735	269	13	?	?	PUNCT
ejpam-3735	270	1	(	(	PUNCT
ejpam-3735	270	2	0	0	NUM
ejpam-3735	270	3	?	?	PUNCT
ejpam-3735	271	1	b	b	X
ejpam-3735	271	2	)	)	PUNCT
ejpam-3735	271	3	=	=	SYM
ejpam-3735	271	4	b.	b.	NOUN
ejpam-3735	272	1	the	the	DET
ejpam-3735	272	2	proof	proof	NOUN
ejpam-3735	272	3	is	be	AUX
ejpam-3735	272	4	complete	complete	ADJ
ejpam-3735	272	5	.	.	PUNCT
ejpam-3735	273	1	the	the	DET
ejpam-3735	273	2	relation	relation	NOUN
ejpam-3735	273	3	between	between	ADP
ejpam-3735	273	4	pseudo	pseudo	NOUN
ejpam-3735	273	5	-	-	ADJ
ejpam-3735	273	6	bck	bck	NOUN
ejpam-3735	273	7	-	-	PUNCT
ejpam-3735	273	8	algebra	algebra	NOUN
ejpam-3735	273	9	and	and	CCONJ
ejpam-3735	273	10	pseudo	pseudo	NOUN
ejpam-3735	273	11	-	-	NOUN
ejpam-3735	273	12	bf	bf	NOUN
ejpam-3735	273	13	/	/	SYM
ejpam-3735	273	14	bf	bf	NOUN
ejpam-3735	273	15	∗-algebra	∗-algebra	NOUN
ejpam-3735	273	16	is	be	AUX
ejpam-3735	273	17	given	give	VERB
ejpam-3735	273	18	in	in	ADP
ejpam-3735	273	19	the	the	DET
ejpam-3735	273	20	following	follow	VERB
ejpam-3735	273	21	theorems	theorem	NOUN
ejpam-3735	273	22	.	.	PUNCT
ejpam-3735	274	1	theorem	theorem	NOUN
ejpam-3735	274	2	4	4	NUM
ejpam-3735	274	3	.	.	PUNCT
ejpam-3735	275	1	any	any	DET
ejpam-3735	275	2	pseudo	pseudo	NOUN
ejpam-3735	275	3	-	-	ADJ
ejpam-3735	275	4	bck	bck	NOUN
ejpam-3735	275	5	-	-	PUNCT
ejpam-3735	275	6	algebra	algebra	NOUN
ejpam-3735	275	7	is	be	AUX
ejpam-3735	275	8	a	a	DET
ejpam-3735	275	9	pseudo	pseudo	NOUN
ejpam-3735	275	10	-	-	PUNCT
ejpam-3735	275	11	bf	bf	NOUN
ejpam-3735	275	12	-algebra	-algebra	NOUN
ejpam-3735	275	13	.	.	PUNCT
ejpam-3735	276	1	proof	proof	NOUN
ejpam-3735	276	2	.	.	PUNCT
ejpam-3735	277	1	let	let	VERB
ejpam-3735	277	2	(	(	PUNCT
ejpam-3735	277	3	e;≤	e;≤	NOUN
ejpam-3735	277	4	,	,	PUNCT
ejpam-3735	277	5	•	•	NOUN
ejpam-3735	277	6	,	,	PUNCT
ejpam-3735	277	7	?	?	PUNCT
ejpam-3735	277	8	,	,	PUNCT
ejpam-3735	277	9	0	0	X
ejpam-3735	277	10	)	)	PUNCT
ejpam-3735	277	11	be	be	AUX
ejpam-3735	277	12	a	a	DET
ejpam-3735	277	13	pseudo	pseudo	NOUN
ejpam-3735	277	14	-	-	ADJ
ejpam-3735	277	15	bck	bck	NOUN
ejpam-3735	277	16	-	-	PUNCT
ejpam-3735	277	17	algebra	algebra	NOUN
ejpam-3735	277	18	.	.	PUNCT
ejpam-3735	278	1	the	the	DET
ejpam-3735	278	2	axioms	axiom	NOUN
ejpam-3735	278	3	(	(	PUNCT
ejpam-3735	278	4	pbf	pbf	NOUN
ejpam-3735	278	5	(	(	PUNCT
ejpam-3735	278	6	1	1	NUM
ejpam-3735	278	7	’	'	PUNCT
ejpam-3735	278	8	)	)	PUNCT
ejpam-3735	278	9	)	)	PUNCT
ejpam-3735	278	10	,	,	PUNCT
ejpam-3735	278	11	(	(	PUNCT
ejpam-3735	278	12	pbf	pbf	NOUN
ejpam-3735	278	13	(	(	PUNCT
ejpam-3735	278	14	4	4	NUM
ejpam-3735	278	15	’	'	PUNCT
ejpam-3735	278	16	)	)	PUNCT
ejpam-3735	278	17	)	)	PUNCT
ejpam-3735	278	18	are	be	AUX
ejpam-3735	278	19	clearly	clearly	ADV
ejpam-3735	278	20	the	the	DET
ejpam-3735	278	21	axioms	axiom	NOUN
ejpam-3735	278	22	(	(	PUNCT
ejpam-3735	278	23	pbck(3	pbck(3	NOUN
ejpam-3735	278	24	)	)	PUNCT
ejpam-3735	278	25	)	)	PUNCT
ejpam-3735	278	26	,	,	PUNCT
ejpam-3735	278	27	(	(	PUNCT
ejpam-3735	278	28	pbck(6	pbck(6	PROPN
ejpam-3735	278	29	)	)	PUNCT
ejpam-3735	278	30	)	)	PUNCT
ejpam-3735	278	31	.	.	PUNCT
ejpam-3735	279	1	put	put	VERB
ejpam-3735	279	2	b	b	NOUN
ejpam-3735	279	3	=	=	NOUN
ejpam-3735	279	4	0	0	NUM
ejpam-3735	279	5	in	in	ADP
ejpam-3735	279	6	(	(	PUNCT
ejpam-3735	279	7	theorem	theorem	ADJ
ejpam-3735	279	8	2	2	NUM
ejpam-3735	279	9	(	(	PUNCT
ejpam-3735	279	10	2	2	NUM
ejpam-3735	279	11	)	)	PUNCT
ejpam-3735	279	12	)	)	PUNCT
ejpam-3735	280	1	we	we	PRON
ejpam-3735	280	2	get	get	VERB
ejpam-3735	280	3	a•0	a•0	ADV
ejpam-3735	280	4	≤	≤	NUM
ejpam-3735	280	5	a	a	DET
ejpam-3735	280	6	and	and	CCONJ
ejpam-3735	280	7	a?0	a?0	PROPN
ejpam-3735	280	8	≤	≤	NUM
ejpam-3735	280	9	a.	a.	NOUN
ejpam-3735	280	10	then	then	ADV
ejpam-3735	280	11	the	the	DET
ejpam-3735	280	12	axiom	axiom	NOUN
ejpam-3735	280	13	(	(	PUNCT
ejpam-3735	280	14	pbf	pbf	NOUN
ejpam-3735	280	15	(	(	PUNCT
ejpam-3735	280	16	2	2	NUM
ejpam-3735	280	17	’	'	PUNCT
ejpam-3735	280	18	)	)	PUNCT
ejpam-3735	280	19	)	)	PUNCT
ejpam-3735	280	20	holds	hold	VERB
ejpam-3735	280	21	.	.	PUNCT
ejpam-3735	281	1	now	now	ADV
ejpam-3735	281	2	,	,	PUNCT
ejpam-3735	281	3	we	we	PRON
ejpam-3735	281	4	will	will	AUX
ejpam-3735	281	5	show	show	VERB
ejpam-3735	281	6	(	(	PUNCT
ejpam-3735	281	7	pbf	pbf	NOUN
ejpam-3735	281	8	(	(	PUNCT
ejpam-3735	281	9	3	3	NUM
ejpam-3735	281	10	’	'	PUNCT
ejpam-3735	281	11	)	)	PUNCT
ejpam-3735	281	12	)	)	PUNCT
ejpam-3735	281	13	.	.	PUNCT
ejpam-3735	282	1	by	by	ADP
ejpam-3735	282	2	(	(	PUNCT
ejpam-3735	282	3	pbck(4	pbck(4	PROPN
ejpam-3735	282	4	)	)	PUNCT
ejpam-3735	282	5	)	)	PUNCT
ejpam-3735	282	6	and	and	CCONJ
ejpam-3735	282	7	(	(	PUNCT
ejpam-3735	282	8	pbck(6	pbck(6	PROPN
ejpam-3735	282	9	)	)	PUNCT
ejpam-3735	282	10	)	)	PUNCT
ejpam-3735	283	1	we	we	PRON
ejpam-3735	283	2	get	get	VERB
ejpam-3735	283	3	[	[	X
ejpam-3735	283	4	0•(a?b)]•(b?a	0•(a?b)]•(b?a	NOUN
ejpam-3735	283	5	)	)	PUNCT
ejpam-3735	283	6	=	=	SYM
ejpam-3735	283	7	0•(b?a	0•(b?a	NOUN
ejpam-3735	283	8	)	)	PUNCT
ejpam-3735	283	9	=	=	SYM
ejpam-3735	283	10	0	0	NUM
ejpam-3735	284	1	and	and	CCONJ
ejpam-3735	285	1	[	[	X
ejpam-3735	285	2	0?(a•b)]?(b•a	0?(a•b)]?(b•a	NOUN
ejpam-3735	285	3	)	)	PUNCT
ejpam-3735	285	4	=	=	SYM
ejpam-3735	285	5	0?(b•a	0?(b•a	NUM
ejpam-3735	285	6	)	)	PUNCT
ejpam-3735	286	1	=	=	SYM
ejpam-3735	286	2	0	0	NUM
ejpam-3735	286	3	and	and	CCONJ
ejpam-3735	286	4	so	so	ADV
ejpam-3735	286	5	0•(a?b	0•(a?b	NOUN
ejpam-3735	286	6	)	)	PUNCT
ejpam-3735	286	7	≤	≤	NOUN
ejpam-3735	286	8	b?a	b?a	NOUN
ejpam-3735	286	9	and	and	CCONJ
ejpam-3735	286	10	0?(a•b	0?(a•b	NUM
ejpam-3735	286	11	)	)	PUNCT
ejpam-3735	286	12	≤	≤	NUM
ejpam-3735	286	13	b•a	b•a	PROPN
ejpam-3735	286	14	.	.	PUNCT
ejpam-3735	287	1	thus	thus	ADV
ejpam-3735	287	2	e	e	X
ejpam-3735	287	3	is	be	AUX
ejpam-3735	287	4	a	a	DET
ejpam-3735	287	5	pseudo	pseudo	NOUN
ejpam-3735	287	6	-	-	NOUN
ejpam-3735	287	7	bf	bf	NOUN
ejpam-3735	287	8	-algebra	-algebra	NOUN
ejpam-3735	287	9	.	.	PUNCT
ejpam-3735	288	1	theorem	theorem	NOUN
ejpam-3735	288	2	5	5	NUM
ejpam-3735	288	3	.	.	PUNCT
ejpam-3735	289	1	any	any	DET
ejpam-3735	289	2	pseudo	pseudo	NOUN
ejpam-3735	289	3	-	-	ADJ
ejpam-3735	289	4	bck	bck	NOUN
ejpam-3735	289	5	-	-	PUNCT
ejpam-3735	289	6	algebra	algebra	NOUN
ejpam-3735	289	7	is	be	AUX
ejpam-3735	289	8	a	a	DET
ejpam-3735	289	9	pseudo	pseudo	NOUN
ejpam-3735	289	10	-	-	NOUN
ejpam-3735	289	11	bf	bf	NOUN
ejpam-3735	289	12	∗-algebra	∗-algebra	NOUN
ejpam-3735	289	13	.	.	PUNCT
ejpam-3735	290	1	proof	proof	NOUN
ejpam-3735	290	2	.	.	PUNCT
ejpam-3735	291	1	it	it	PRON
ejpam-3735	291	2	is	be	AUX
ejpam-3735	291	3	obvious	obvious	ADJ
ejpam-3735	291	4	from	from	ADP
ejpam-3735	291	5	(	(	PUNCT
ejpam-3735	291	6	theorem	theorem	NOUN
ejpam-3735	291	7	4	4	NUM
ejpam-3735	291	8	)	)	PUNCT
ejpam-3735	291	9	above	above	ADV
ejpam-3735	291	10	and	and	CCONJ
ejpam-3735	291	11	by	by	ADP
ejpam-3735	291	12	using	use	VERB
ejpam-3735	291	13	(	(	PUNCT
ejpam-3735	291	14	theorem	theorem	NOUN
ejpam-3735	291	15	1	1	NUM
ejpam-3735	291	16	)	)	PUNCT
ejpam-3735	292	1	that	that	SCONJ
ejpam-3735	292	2	(	(	PUNCT
ejpam-3735	292	3	a•b)?c	a•b)?c	PROPN
ejpam-3735	292	4	=	=	SYM
ejpam-3735	292	5	(	(	PUNCT
ejpam-3735	292	6	a?c)•b	a?c)•b	PROPN
ejpam-3735	292	7	(	(	PUNCT
ejpam-3735	292	8	that	that	ADV
ejpam-3735	292	9	is	is	ADV
ejpam-3735	292	10	(	(	PUNCT
ejpam-3735	292	11	pbf	pbf	NOUN
ejpam-3735	292	12	∗	∗	NOUN
ejpam-3735	292	13	)	)	PUNCT
ejpam-3735	292	14	)	)	PUNCT
ejpam-3735	292	15	.	.	PUNCT
ejpam-3735	293	1	therefore	therefore	ADV
ejpam-3735	293	2	every	every	DET
ejpam-3735	293	3	pseudo	pseudo	NOUN
ejpam-3735	293	4	-	-	ADJ
ejpam-3735	293	5	bck	bck	NOUN
ejpam-3735	293	6	-	-	PUNCT
ejpam-3735	293	7	algebra	algebra	NOUN
ejpam-3735	293	8	is	be	AUX
ejpam-3735	293	9	a	a	DET
ejpam-3735	293	10	pseudo	pseudo	NOUN
ejpam-3735	293	11	-	-	NOUN
ejpam-3735	293	12	bf	bf	NOUN
ejpam-3735	293	13	∗-algebra	∗-algebra	NOUN
ejpam-3735	293	14	.	.	PUNCT
ejpam-3735	294	1	3	3	X
ejpam-3735	294	2	.	.	X
ejpam-3735	294	3	pseudo	pseudo	NOUN
ejpam-3735	294	4	-	-	NOUN
ejpam-3735	294	5	ideal	ideal	NOUN
ejpam-3735	294	6	of	of	ADP
ejpam-3735	294	7	pseudo	pseudo	NOUN
ejpam-3735	294	8	-	-	NOUN
ejpam-3735	294	9	bf	bf	NOUN
ejpam-3735	294	10	-algebra	-algebra	NOUN
ejpam-3735	294	11	in	in	ADP
ejpam-3735	294	12	this	this	DET
ejpam-3735	294	13	section	section	NOUN
ejpam-3735	294	14	,	,	PUNCT
ejpam-3735	294	15	we	we	PRON
ejpam-3735	294	16	start	start	VERB
ejpam-3735	294	17	with	with	ADP
ejpam-3735	294	18	the	the	DET
ejpam-3735	294	19	definition	definition	NOUN
ejpam-3735	294	20	of	of	ADP
ejpam-3735	294	21	pseudo	pseudo	NOUN
ejpam-3735	294	22	-	-	NOUN
ejpam-3735	294	23	subalgebra	subalgebra	NOUN
ejpam-3735	294	24	of	of	ADP
ejpam-3735	294	25	pseudo	pseudo	NOUN
ejpam-3735	294	26	-	-	NOUN
ejpam-3735	294	27	bf	bf	NOUN
ejpam-3735	294	28	-algebra	-algebra	NOUN
ejpam-3735	294	29	.	.	PUNCT
ejpam-3735	295	1	then	then	ADV
ejpam-3735	295	2	we	we	PRON
ejpam-3735	295	3	study	study	VERB
ejpam-3735	295	4	pseudo	pseudo	NOUN
ejpam-3735	295	5	-	-	NOUN
ejpam-3735	295	6	ideal	ideal	ADJ
ejpam-3735	295	7	and	and	CCONJ
ejpam-3735	295	8	pseudo	pseudo	NOUN
ejpam-3735	295	9	-	-	ADJ
ejpam-3735	295	10	normal	normal	ADJ
ejpam-3735	295	11	-	-	PUNCT
ejpam-3735	295	12	ideal	ideal	NOUN
ejpam-3735	295	13	.	.	PUNCT
ejpam-3735	296	1	we	we	PRON
ejpam-3735	296	2	start	start	VERB
ejpam-3735	296	3	with	with	ADP
ejpam-3735	296	4	the	the	DET
ejpam-3735	296	5	following	follow	VERB
ejpam-3735	296	6	definition	definition	NOUN
ejpam-3735	296	7	.	.	PUNCT
ejpam-3735	297	1	definition	definition	NOUN
ejpam-3735	297	2	7	7	NUM
ejpam-3735	297	3	.	.	PUNCT
ejpam-3735	298	1	in	in	ADP
ejpam-3735	298	2	a	a	DET
ejpam-3735	298	3	pseudo	pseudo	NOUN
ejpam-3735	298	4	-	-	NOUN
ejpam-3735	298	5	bf	bf	NOUN
ejpam-3735	298	6	-algebra	-algebra	NOUN
ejpam-3735	298	7	(	(	PUNCT
ejpam-3735	298	8	e	e	NOUN
ejpam-3735	298	9	;	;	PUNCT
ejpam-3735	298	10	•	•	NUM
ejpam-3735	298	11	,	,	PUNCT
ejpam-3735	298	12	?	?	PUNCT
ejpam-3735	298	13	,	,	PUNCT
ejpam-3735	298	14	0	0	NUM
ejpam-3735	298	15	)	)	PUNCT
ejpam-3735	298	16	,	,	PUNCT
ejpam-3735	298	17	let	let	VERB
ejpam-3735	298	18	φ	φ	PROPN
ejpam-3735	298	19	6=	6=	ADP
ejpam-3735	298	20	s	s	PROPN
ejpam-3735	298	21	⊆	⊆	NUM
ejpam-3735	298	22	e.	e.	PROPN
ejpam-3735	298	23	then	then	ADV
ejpam-3735	298	24	s	s	VERB
ejpam-3735	298	25	is	be	AUX
ejpam-3735	298	26	said	say	VERB
ejpam-3735	298	27	to	to	PART
ejpam-3735	298	28	be	be	AUX
ejpam-3735	298	29	a	a	DET
ejpam-3735	298	30	pseudo	pseudo	NOUN
ejpam-3735	298	31	-	-	NOUN
ejpam-3735	298	32	subalgebra	subalgebra	NOUN
ejpam-3735	298	33	of	of	ADP
ejpam-3735	298	34	e	e	PRON
ejpam-3735	298	35	if	if	SCONJ
ejpam-3735	298	36	:	:	PUNCT
ejpam-3735	298	37	a	a	DET
ejpam-3735	298	38	•	•	NOUN
ejpam-3735	298	39	b	b	X
ejpam-3735	298	40	∈	∈	NOUN
ejpam-3735	298	41	s	s	X
ejpam-3735	298	42	and	and	CCONJ
ejpam-3735	298	43	a	a	PRON
ejpam-3735	298	44	?	?	PUNCT
ejpam-3735	299	1	b	b	X
ejpam-3735	299	2	∈	∈	NOUN
ejpam-3735	299	3	s	s	VERB
ejpam-3735	299	4	for	for	ADP
ejpam-3735	299	5	all	all	DET
ejpam-3735	299	6	a	a	PRON
ejpam-3735	299	7	,	,	PUNCT
ejpam-3735	299	8	b	b	X
ejpam-3735	299	9	∈	∈	PROPN
ejpam-3735	299	10	s.	s.	PROPN
ejpam-3735	299	11	h.	h.	PROPN
ejpam-3735	299	12	m.	m.	PROPN
ejpam-3735	300	1	al	al	PROPN
ejpam-3735	300	2	-	-	PUNCT
ejpam-3735	300	3	malki	malki	PROPN
ejpam-3735	300	4	,	,	PUNCT
ejpam-3735	300	5	d.	d.	PROPN
ejpam-3735	300	6	s.	s.	PROPN
ejpam-3735	300	7	al	al	PROPN
ejpam-3735	300	8	-	-	PUNCT
ejpam-3735	300	9	kadi	kadi	PROPN
ejpam-3735	300	10	/	/	SYM
ejpam-3735	300	11	eur	eur	PROPN
ejpam-3735	300	12	.	.	PUNCT
ejpam-3735	301	1	j.	j.	PROPN
ejpam-3735	301	2	pure	pure	PROPN
ejpam-3735	301	3	appl	appl	PROPN
ejpam-3735	301	4	.	.	PROPN
ejpam-3735	301	5	math	math	PROPN
ejpam-3735	301	6	,	,	PUNCT
ejpam-3735	301	7	13	13	NUM
ejpam-3735	301	8	(	(	PUNCT
ejpam-3735	301	9	3	3	NUM
ejpam-3735	301	10	)	)	PUNCT
ejpam-3735	301	11	(	(	PUNCT
ejpam-3735	301	12	2020	2020	NUM
ejpam-3735	301	13	)	)	PUNCT
ejpam-3735	301	14	,	,	PUNCT
ejpam-3735	301	15	498	498	NUM
ejpam-3735	301	16	-	-	SYM
ejpam-3735	301	17	512	512	NUM
ejpam-3735	301	18	505	505	NUM
ejpam-3735	301	19	note	note	NOUN
ejpam-3735	301	20	:	:	PUNCT
ejpam-3735	301	21	it	it	PRON
ejpam-3735	301	22	is	be	AUX
ejpam-3735	301	23	easy	easy	ADJ
ejpam-3735	301	24	to	to	PART
ejpam-3735	301	25	see	see	VERB
ejpam-3735	301	26	that	that	SCONJ
ejpam-3735	301	27	if	if	SCONJ
ejpam-3735	301	28	s	s	NOUN
ejpam-3735	301	29	is	be	AUX
ejpam-3735	301	30	a	a	DET
ejpam-3735	301	31	pseudo	pseudo	NOUN
ejpam-3735	301	32	-	-	NOUN
ejpam-3735	301	33	subalgebra	subalgebra	NOUN
ejpam-3735	301	34	of	of	ADP
ejpam-3735	301	35	e	e	NOUN
ejpam-3735	301	36	,	,	PUNCT
ejpam-3735	301	37	then	then	ADV
ejpam-3735	301	38	0	0	NUM
ejpam-3735	301	39	∈	∈	PROPN
ejpam-3735	301	40	s.	s.	PROPN
ejpam-3735	301	41	lemma	lemma	PROPN
ejpam-3735	301	42	1	1	X
ejpam-3735	301	43	.	.	PUNCT
ejpam-3735	302	1	in	in	ADP
ejpam-3735	302	2	a	a	DET
ejpam-3735	302	3	pseudo	pseudo	NOUN
ejpam-3735	302	4	-	-	NOUN
ejpam-3735	302	5	bf	bf	NOUN
ejpam-3735	302	6	-algebra	-algebra	NOUN
ejpam-3735	302	7	(	(	PUNCT
ejpam-3735	302	8	e	e	NOUN
ejpam-3735	302	9	;	;	PUNCT
ejpam-3735	302	10	•	•	NUM
ejpam-3735	302	11	,	,	PUNCT
ejpam-3735	302	12	?	?	PUNCT
ejpam-3735	302	13	,	,	PUNCT
ejpam-3735	302	14	0	0	NUM
ejpam-3735	302	15	)	)	PUNCT
ejpam-3735	302	16	,	,	PUNCT
ejpam-3735	302	17	let	let	VERB
ejpam-3735	302	18	s	s	PRON
ejpam-3735	302	19	be	be	AUX
ejpam-3735	302	20	a	a	DET
ejpam-3735	302	21	pseudo	pseudo	NOUN
ejpam-3735	302	22	-	-	NOUN
ejpam-3735	302	23	subalgebra	subalgebra	NOUN
ejpam-3735	302	24	of	of	ADP
ejpam-3735	302	25	e.	e.	PROPN
ejpam-3735	302	26	then	then	ADV
ejpam-3735	302	27	for	for	ADP
ejpam-3735	302	28	a	a	DET
ejpam-3735	302	29	,	,	PUNCT
ejpam-3735	302	30	b	b	X
ejpam-3735	302	31	∈	∈	NOUN
ejpam-3735	302	32	e	e	X
ejpam-3735	302	33	we	we	PRON
ejpam-3735	302	34	have	have	VERB
ejpam-3735	302	35	:	:	PUNCT
ejpam-3735	302	36	(	(	PUNCT
ejpam-3735	302	37	1	1	X
ejpam-3735	302	38	)	)	PUNCT
ejpam-3735	302	39	if	if	SCONJ
ejpam-3735	302	40	a	a	DET
ejpam-3735	302	41	•	•	NOUN
ejpam-3735	302	42	b	b	X
ejpam-3735	302	43	∈	∈	PROPN
ejpam-3735	302	44	s	s	NOUN
ejpam-3735	302	45	,	,	PUNCT
ejpam-3735	302	46	then	then	ADV
ejpam-3735	302	47	b	b	NUM
ejpam-3735	302	48	•	•	NOUN
ejpam-3735	302	49	a	a	DET
ejpam-3735	302	50	∈	∈	ADJ
ejpam-3735	302	51	s	s	NOUN
ejpam-3735	302	52	,	,	PUNCT
ejpam-3735	302	53	(	(	PUNCT
ejpam-3735	302	54	2	2	X
ejpam-3735	302	55	)	)	PUNCT
ejpam-3735	302	56	if	if	SCONJ
ejpam-3735	302	57	a	a	PRON
ejpam-3735	302	58	?	?	PUNCT
ejpam-3735	303	1	b	b	X
ejpam-3735	303	2	∈	∈	PROPN
ejpam-3735	303	3	s	s	NOUN
ejpam-3735	303	4	,	,	PUNCT
ejpam-3735	303	5	then	then	ADV
ejpam-3735	303	6	b	b	X
ejpam-3735	303	7	?	?	PUNCT
ejpam-3735	304	1	a	a	DET
ejpam-3735	304	2	∈	∈	PROPN
ejpam-3735	304	3	s.	s.	PROPN
ejpam-3735	304	4	proof	proof	NOUN
ejpam-3735	304	5	.	.	PUNCT
ejpam-3735	305	1	for	for	ADP
ejpam-3735	305	2	a	a	DET
ejpam-3735	305	3	,	,	PUNCT
ejpam-3735	305	4	b	b	PROPN
ejpam-3735	305	5	∈	∈	PROPN
ejpam-3735	305	6	s	s	VERB
ejpam-3735	305	7	,	,	PUNCT
ejpam-3735	305	8	let	let	VERB
ejpam-3735	305	9	a	a	DET
ejpam-3735	305	10	•	•	NOUN
ejpam-3735	305	11	b	b	NOUN
ejpam-3735	305	12	∈	∈	NOUN
ejpam-3735	305	13	s	s	X
ejpam-3735	305	14	and	and	CCONJ
ejpam-3735	305	15	a	a	PRON
ejpam-3735	305	16	?	?	PUNCT
ejpam-3735	306	1	b	b	X
ejpam-3735	306	2	∈	∈	PROPN
ejpam-3735	306	3	s.	s.	PROPN
ejpam-3735	306	4	by	by	ADP
ejpam-3735	306	5	(	(	PUNCT
ejpam-3735	306	6	pbf	pbf	PROPN
ejpam-3735	306	7	(	(	PUNCT
ejpam-3735	306	8	3	3	NUM
ejpam-3735	306	9	)	)	PUNCT
ejpam-3735	306	10	)	)	PUNCT
ejpam-3735	306	11	,	,	PUNCT
ejpam-3735	306	12	b	b	X
ejpam-3735	306	13	•	•	NOUN
ejpam-3735	306	14	a	a	DET
ejpam-3735	306	15	=	=	NOUN
ejpam-3735	306	16	0	0	NUM
ejpam-3735	306	17	?	?	PUNCT
ejpam-3735	307	1	(	(	PUNCT
ejpam-3735	307	2	a	a	DET
ejpam-3735	307	3	•	•	NUM
ejpam-3735	307	4	b	b	NOUN
ejpam-3735	307	5	)	)	PUNCT
ejpam-3735	307	6	.	.	PUNCT
ejpam-3735	308	1	since	since	SCONJ
ejpam-3735	308	2	0	0	NUM
ejpam-3735	308	3	∈	∈	PROPN
ejpam-3735	308	4	s	s	NOUN
ejpam-3735	308	5	and	and	CCONJ
ejpam-3735	308	6	a	a	DET
ejpam-3735	308	7	•	•	NOUN
ejpam-3735	308	8	b	b	X
ejpam-3735	308	9	∈	∈	NOUN
ejpam-3735	308	10	s	s	X
ejpam-3735	308	11	,	,	PUNCT
ejpam-3735	308	12	we	we	PRON
ejpam-3735	308	13	see	see	VERB
ejpam-3735	308	14	that	that	PRON
ejpam-3735	308	15	0	0	NUM
ejpam-3735	308	16	?	?	PUNCT
ejpam-3735	309	1	(	(	PUNCT
ejpam-3735	309	2	a	a	DET
ejpam-3735	309	3	•	•	NUM
ejpam-3735	309	4	b	b	NOUN
ejpam-3735	309	5	)	)	PUNCT
ejpam-3735	309	6	∈	∈	PROPN
ejpam-3735	309	7	s	s	PART
ejpam-3735	309	8	and	and	CCONJ
ejpam-3735	309	9	so	so	ADV
ejpam-3735	309	10	b	b	NOUN
ejpam-3735	309	11	•	•	NOUN
ejpam-3735	309	12	a	a	DET
ejpam-3735	309	13	∈	∈	NOUN
ejpam-3735	309	14	s	s	NOUN
ejpam-3735	309	15	and	and	CCONJ
ejpam-3735	309	16	b	b	NOUN
ejpam-3735	309	17	?	?	PUNCT
ejpam-3735	310	1	a	a	PRON
ejpam-3735	310	2	=	=	SYM
ejpam-3735	310	3	0	0	NUM
ejpam-3735	310	4	•	•	NOUN
ejpam-3735	310	5	(	(	PUNCT
ejpam-3735	310	6	a	a	PRON
ejpam-3735	310	7	?	?	PUNCT
ejpam-3735	311	1	b	b	X
ejpam-3735	311	2	)	)	PUNCT
ejpam-3735	311	3	.	.	PUNCT
ejpam-3735	312	1	since	since	SCONJ
ejpam-3735	312	2	0	0	NUM
ejpam-3735	312	3	∈	∈	PROPN
ejpam-3735	312	4	s	s	NOUN
ejpam-3735	312	5	and	and	CCONJ
ejpam-3735	312	6	a	a	PRON
ejpam-3735	312	7	?	?	PUNCT
ejpam-3735	313	1	b	b	X
ejpam-3735	313	2	∈	∈	NOUN
ejpam-3735	313	3	s	s	X
ejpam-3735	313	4	,	,	PUNCT
ejpam-3735	313	5	we	we	PRON
ejpam-3735	313	6	see	see	VERB
ejpam-3735	313	7	that	that	PRON
ejpam-3735	313	8	0	0	NUM
ejpam-3735	314	1	•	•	NOUN
ejpam-3735	314	2	(	(	PUNCT
ejpam-3735	314	3	a	a	PRON
ejpam-3735	314	4	?	?	NOUN
ejpam-3735	314	5	b	b	X
ejpam-3735	314	6	)	)	PUNCT
ejpam-3735	314	7	∈	∈	PROPN
ejpam-3735	314	8	s	s	PART
ejpam-3735	314	9	and	and	CCONJ
ejpam-3735	314	10	so	so	ADV
ejpam-3735	314	11	b	b	NOUN
ejpam-3735	314	12	?	?	PUNCT
ejpam-3735	315	1	a	a	DET
ejpam-3735	315	2	∈	∈	PROPN
ejpam-3735	315	3	s.	s.	PROPN
ejpam-3735	315	4	definition	definition	NOUN
ejpam-3735	315	5	8	8	NUM
ejpam-3735	315	6	.	.	PUNCT
ejpam-3735	316	1	in	in	ADP
ejpam-3735	316	2	a	a	DET
ejpam-3735	316	3	pseudo	pseudo	NOUN
ejpam-3735	316	4	-	-	NOUN
ejpam-3735	316	5	bf	bf	NOUN
ejpam-3735	316	6	-algebra	-algebra	NOUN
ejpam-3735	316	7	(	(	PUNCT
ejpam-3735	316	8	e	e	NOUN
ejpam-3735	316	9	;	;	PUNCT
ejpam-3735	316	10	•	•	NUM
ejpam-3735	316	11	,	,	PUNCT
ejpam-3735	316	12	?	?	PUNCT
ejpam-3735	316	13	,	,	PUNCT
ejpam-3735	316	14	0	0	NUM
ejpam-3735	316	15	)	)	PUNCT
ejpam-3735	316	16	,	,	PUNCT
ejpam-3735	316	17	let	let	VERB
ejpam-3735	316	18	φ	φ	PROPN
ejpam-3735	316	19	6=	6=	PROPN
ejpam-3735	316	20	i	i	PROPN
ejpam-3735	316	21	⊆	⊆	NUM
ejpam-3735	316	22	e.	e.	PROPN
ejpam-3735	316	23	then	then	ADV
ejpam-3735	316	24	we	we	PRON
ejpam-3735	316	25	say	say	VERB
ejpam-3735	316	26	that	that	SCONJ
ejpam-3735	316	27	i	i	PRON
ejpam-3735	316	28	is	be	AUX
ejpam-3735	316	29	a	a	DET
ejpam-3735	316	30	pseudo	pseudo	NOUN
ejpam-3735	316	31	-	-	NOUN
ejpam-3735	316	32	ideal	ideal	NOUN
ejpam-3735	316	33	of	of	ADP
ejpam-3735	316	34	e	e	NOUN
ejpam-3735	316	35	if	if	SCONJ
ejpam-3735	316	36	it	it	PRON
ejpam-3735	316	37	satisfies	satisfy	VERB
ejpam-3735	316	38	for	for	ADP
ejpam-3735	316	39	all	all	DET
ejpam-3735	316	40	a	a	PRON
ejpam-3735	317	1	,	,	PUNCT
ejpam-3735	317	2	b	b	X
ejpam-3735	317	3	∈	∈	PROPN
ejpam-3735	317	4	e	e	NOUN
ejpam-3735	317	5	:	:	PUNCT
ejpam-3735	317	6	(	(	PUNCT
ejpam-3735	317	7	pi1	pi1	X
ejpam-3735	317	8	)	)	PUNCT
ejpam-3735	317	9	0	0	PUNCT
ejpam-3735	318	1	∈	∈	PROPN
ejpam-3735	319	1	i	i	PRON
ejpam-3735	319	2	,	,	PUNCT
ejpam-3735	319	3	(	(	PUNCT
ejpam-3735	319	4	pi2	pi2	PROPN
ejpam-3735	319	5	)	)	PUNCT
ejpam-3735	319	6	a	a	DET
ejpam-3735	319	7	•	•	NOUN
ejpam-3735	319	8	b	b	X
ejpam-3735	319	9	∈	∈	PROPN
ejpam-3735	320	1	i	i	PRON
ejpam-3735	320	2	,	,	PUNCT
ejpam-3735	320	3	a	a	PRON
ejpam-3735	320	4	?	?	PUNCT
ejpam-3735	321	1	b	b	X
ejpam-3735	321	2	∈	∈	PROPN
ejpam-3735	322	1	i	i	PRON
ejpam-3735	322	2	and	and	CCONJ
ejpam-3735	322	3	b	b	X
ejpam-3735	322	4	∈	∈	PROPN
ejpam-3735	322	5	i	i	PRON
ejpam-3735	322	6	implies	imply	VERB
ejpam-3735	322	7	a	a	DET
ejpam-3735	322	8	∈	∈	PROPN
ejpam-3735	322	9	i.	i.	NOUN
ejpam-3735	322	10	example	example	NOUN
ejpam-3735	322	11	7	7	NUM
ejpam-3735	322	12	.	.	PUNCT
ejpam-3735	323	1	in	in	ADP
ejpam-3735	323	2	example	example	NOUN
ejpam-3735	323	3	2	2	NUM
ejpam-3735	323	4	,	,	PUNCT
ejpam-3735	323	5	let	let	VERB
ejpam-3735	323	6	c	c	NOUN
ejpam-3735	323	7	=	=	PRON
ejpam-3735	323	8	{	{	PUNCT
ejpam-3735	323	9	0	0	NUM
ejpam-3735	323	10	,	,	PUNCT
ejpam-3735	323	11	1	1	NUM
ejpam-3735	323	12	}	}	PUNCT
ejpam-3735	323	13	,	,	PUNCT
ejpam-3735	323	14	a	a	DET
ejpam-3735	323	15	=	=	X
ejpam-3735	323	16	{	{	PUNCT
ejpam-3735	323	17	0	0	NUM
ejpam-3735	323	18	,	,	PUNCT
ejpam-3735	323	19	3	3	NUM
ejpam-3735	323	20	}	}	PUNCT
ejpam-3735	323	21	and	and	CCONJ
ejpam-3735	323	22	f	f	X
ejpam-3735	323	23	=	=	PUNCT
ejpam-3735	323	24	{	{	PUNCT
ejpam-3735	323	25	0	0	NUM
ejpam-3735	323	26	,	,	PUNCT
ejpam-3735	323	27	1	1	NUM
ejpam-3735	323	28	,	,	PUNCT
ejpam-3735	323	29	2	2	NUM
ejpam-3735	323	30	}	}	PUNCT
ejpam-3735	323	31	be	be	AUX
ejpam-3735	323	32	subsets	subset	NOUN
ejpam-3735	323	33	of	of	ADP
ejpam-3735	323	34	e.	e.	PROPN
ejpam-3735	324	1	then	then	ADV
ejpam-3735	324	2	c	c	PROPN
ejpam-3735	324	3	is	be	AUX
ejpam-3735	324	4	a	a	DET
ejpam-3735	324	5	pseudo	pseudo	NOUN
ejpam-3735	324	6	-	-	NOUN
ejpam-3735	324	7	subalgebra	subalgebra	NOUN
ejpam-3735	324	8	of	of	ADP
ejpam-3735	324	9	e	e	NOUN
ejpam-3735	324	10	,	,	PUNCT
ejpam-3735	324	11	whereas	whereas	SCONJ
ejpam-3735	324	12	f	f	PROPN
ejpam-3735	324	13	is	be	AUX
ejpam-3735	324	14	not	not	PART
ejpam-3735	324	15	,	,	PUNCT
ejpam-3735	324	16	as	as	ADP
ejpam-3735	324	17	1	1	NUM
ejpam-3735	324	18	•	•	NUM
ejpam-3735	324	19	2	2	NUM
ejpam-3735	324	20	=	=	SYM
ejpam-3735	324	21	3	3	NUM
ejpam-3735	324	22	/∈	/∈	SYM
ejpam-3735	324	23	f	f	PROPN
ejpam-3735	324	24	.	.	PUNCT
ejpam-3735	325	1	also	also	ADV
ejpam-3735	325	2	,	,	PUNCT
ejpam-3735	325	3	a	a	PRON
ejpam-3735	325	4	is	be	AUX
ejpam-3735	325	5	a	a	DET
ejpam-3735	325	6	pseudo	pseudo	NOUN
ejpam-3735	325	7	-	-	NOUN
ejpam-3735	325	8	ideal	ideal	NOUN
ejpam-3735	325	9	of	of	ADP
ejpam-3735	325	10	e	e	NOUN
ejpam-3735	325	11	,	,	PUNCT
ejpam-3735	325	12	but	but	CCONJ
ejpam-3735	325	13	c	c	NOUN
ejpam-3735	325	14	is	be	AUX
ejpam-3735	325	15	not	not	PART
ejpam-3735	325	16	,	,	PUNCT
ejpam-3735	325	17	because	because	SCONJ
ejpam-3735	325	18	3	3	NUM
ejpam-3735	325	19	•	•	NOUN
ejpam-3735	325	20	1	1	NUM
ejpam-3735	325	21	=	=	SYM
ejpam-3735	325	22	0	0	NUM
ejpam-3735	325	23	,	,	PUNCT
ejpam-3735	325	24	3	3	NUM
ejpam-3735	325	25	?	?	SYM
ejpam-3735	325	26	1	1	NUM
ejpam-3735	325	27	=	=	SYM
ejpam-3735	325	28	1	1	NUM
ejpam-3735	325	29	∈	∈	NOUN
ejpam-3735	325	30	c	c	NOUN
ejpam-3735	325	31	,	,	PUNCT
ejpam-3735	325	32	1	1	NUM
ejpam-3735	325	33	∈	∈	NOUN
ejpam-3735	325	34	c	c	NOUN
ejpam-3735	325	35	,	,	PUNCT
ejpam-3735	325	36	but	but	CCONJ
ejpam-3735	325	37	3	3	NUM
ejpam-3735	325	38	/∈	/∈	NOUN
ejpam-3735	325	39	c.	c.	NOUN
ejpam-3735	325	40	definition	definition	NOUN
ejpam-3735	325	41	9	9	NUM
ejpam-3735	325	42	.	.	PUNCT
ejpam-3735	326	1	in	in	ADP
ejpam-3735	326	2	a	a	DET
ejpam-3735	326	3	pseudo	pseudo	NOUN
ejpam-3735	326	4	-	-	NOUN
ejpam-3735	326	5	bf	bf	NOUN
ejpam-3735	326	6	-algebra	-algebra	NOUN
ejpam-3735	326	7	(	(	PUNCT
ejpam-3735	326	8	e	e	NOUN
ejpam-3735	326	9	;	;	PUNCT
ejpam-3735	326	10	•	•	NUM
ejpam-3735	326	11	,	,	PUNCT
ejpam-3735	326	12	?	?	PUNCT
ejpam-3735	326	13	,	,	PUNCT
ejpam-3735	326	14	0	0	NUM
ejpam-3735	326	15	)	)	PUNCT
ejpam-3735	326	16	,	,	PUNCT
ejpam-3735	326	17	let	let	VERB
ejpam-3735	326	18	i	i	PRON
ejpam-3735	326	19	be	be	AUX
ejpam-3735	326	20	a	a	DET
ejpam-3735	326	21	pseudo	pseudo	NOUN
ejpam-3735	326	22	-	-	NOUN
ejpam-3735	326	23	ideal	ideal	ADJ
ejpam-3735	326	24	.	.	PUNCT
ejpam-3735	327	1	we	we	PRON
ejpam-3735	327	2	say	say	VERB
ejpam-3735	327	3	that	that	SCONJ
ejpam-3735	327	4	i	i	PRON
ejpam-3735	327	5	is	be	AUX
ejpam-3735	327	6	a	a	DET
ejpam-3735	327	7	pseudo	pseudo	NOUN
ejpam-3735	327	8	-	-	ADJ
ejpam-3735	327	9	normal	normal	ADJ
ejpam-3735	327	10	,	,	PUNCT
ejpam-3735	327	11	if	if	SCONJ
ejpam-3735	327	12	for	for	ADP
ejpam-3735	327	13	any	any	DET
ejpam-3735	327	14	a	a	DET
ejpam-3735	327	15	,	,	PUNCT
ejpam-3735	327	16	b	b	NOUN
ejpam-3735	327	17	,	,	PUNCT
ejpam-3735	327	18	c	c	PROPN
ejpam-3735	327	19	∈	∈	PROPN
ejpam-3735	328	1	e	e	NOUN
ejpam-3735	328	2	:	:	PUNCT
ejpam-3735	328	3	a	a	DET
ejpam-3735	328	4	•	•	NUM
ejpam-3735	328	5	b	b	NOUN
ejpam-3735	328	6	,	,	PUNCT
ejpam-3735	328	7	a	a	PRON
ejpam-3735	328	8	?	?	PUNCT
ejpam-3735	328	9	b	b	X
ejpam-3735	328	10	∈	∈	NOUN
ejpam-3735	328	11	i	i	PRON
ejpam-3735	328	12	implies	imply	VERB
ejpam-3735	328	13	(	(	PUNCT
ejpam-3735	328	14	c	c	NOUN
ejpam-3735	328	15	•	•	NOUN
ejpam-3735	328	16	a	a	NOUN
ejpam-3735	328	17	)	)	PUNCT
ejpam-3735	328	18	?	?	PUNCT
ejpam-3735	329	1	(	(	PUNCT
ejpam-3735	329	2	c	c	NOUN
ejpam-3735	329	3	•	•	NUM
ejpam-3735	329	4	b	b	NOUN
ejpam-3735	329	5	)	)	PUNCT
ejpam-3735	329	6	and	and	CCONJ
ejpam-3735	329	7	(	(	PUNCT
ejpam-3735	329	8	c	c	NOUN
ejpam-3735	329	9	?	?	PUNCT
ejpam-3735	330	1	a	a	X
ejpam-3735	330	2	)	)	PUNCT
ejpam-3735	330	3	•	•	NOUN
ejpam-3735	330	4	(	(	PUNCT
ejpam-3735	330	5	c	c	NOUN
ejpam-3735	330	6	?	?	PUNCT
ejpam-3735	331	1	b	b	X
ejpam-3735	331	2	)	)	PUNCT
ejpam-3735	331	3	∈	∈	PROPN
ejpam-3735	331	4	i.	i.	NOUN
ejpam-3735	331	5	note	note	PROPN
ejpam-3735	331	6	:	:	PUNCT
ejpam-3735	331	7	{	{	PUNCT
ejpam-3735	331	8	0	0	NUM
ejpam-3735	331	9	}	}	PUNCT
ejpam-3735	331	10	and	and	CCONJ
ejpam-3735	331	11	e	e	NOUN
ejpam-3735	331	12	are	be	AUX
ejpam-3735	331	13	always	always	ADV
ejpam-3735	331	14	pseudo	pseudo	NOUN
ejpam-3735	331	15	-	-	NOUN
ejpam-3735	331	16	ideals	ideal	NOUN
ejpam-3735	331	17	of	of	ADP
ejpam-3735	331	18	e.	e.	PROPN
ejpam-3735	331	19	whereas	whereas	SCONJ
ejpam-3735	331	20	if	if	SCONJ
ejpam-3735	331	21	e	e	NOUN
ejpam-3735	331	22	is	be	AUX
ejpam-3735	331	23	a	a	DET
ejpam-3735	331	24	pseudo	pseudo	NOUN
ejpam-3735	331	25	-	-	ADJ
ejpam-3735	331	26	normal	normal	ADJ
ejpam-3735	331	27	,	,	PUNCT
ejpam-3735	331	28	{	{	PUNCT
ejpam-3735	331	29	0	0	NUM
ejpam-3735	331	30	}	}	PUNCT
ejpam-3735	331	31	is	be	AUX
ejpam-3735	331	32	not	not	PART
ejpam-3735	331	33	a	a	DET
ejpam-3735	331	34	pseudo	pseudo	NOUN
ejpam-3735	331	35	-	-	ADJ
ejpam-3735	331	36	normal	normal	ADJ
ejpam-3735	331	37	in	in	ADP
ejpam-3735	331	38	general	general	ADJ
ejpam-3735	331	39	.	.	PUNCT
ejpam-3735	332	1	lemma	lemma	PROPN
ejpam-3735	332	2	2	2	X
ejpam-3735	332	3	.	.	PUNCT
ejpam-3735	333	1	let	let	VERB
ejpam-3735	333	2	i	i	PRON
ejpam-3735	333	3	be	be	AUX
ejpam-3735	333	4	a	a	DET
ejpam-3735	333	5	pseudo	pseudo	NOUN
ejpam-3735	333	6	-	-	ADJ
ejpam-3735	333	7	normal	normal	ADJ
ejpam-3735	333	8	-	-	PUNCT
ejpam-3735	333	9	ideal	ideal	NOUN
ejpam-3735	333	10	of	of	ADP
ejpam-3735	333	11	a	a	DET
ejpam-3735	333	12	pseudo	pseudo	NOUN
ejpam-3735	333	13	-	-	NOUN
ejpam-3735	333	14	bf	bf	NOUN
ejpam-3735	333	15	-algebra	-algebra	NOUN
ejpam-3735	333	16	(	(	PUNCT
ejpam-3735	333	17	e	e	NOUN
ejpam-3735	333	18	;	;	PUNCT
ejpam-3735	333	19	•	•	NUM
ejpam-3735	333	20	,	,	PUNCT
ejpam-3735	333	21	?	?	PUNCT
ejpam-3735	333	22	,	,	PUNCT
ejpam-3735	333	23	0	0	NUM
ejpam-3735	333	24	)	)	PUNCT
ejpam-3735	333	25	and	and	CCONJ
ejpam-3735	333	26	a	a	DET
ejpam-3735	333	27	,	,	PUNCT
ejpam-3735	333	28	b	b	PROPN
ejpam-3735	333	29	∈	∈	PROPN
ejpam-3735	333	30	e.	e.	PROPN
ejpam-3735	333	31	then	then	ADV
ejpam-3735	333	32	,	,	PUNCT
ejpam-3735	333	33	(	(	PUNCT
ejpam-3735	333	34	1	1	X
ejpam-3735	333	35	)	)	PUNCT
ejpam-3735	333	36	a	a	DET
ejpam-3735	333	37	∈	∈	NOUN
ejpam-3735	333	38	i	i	PRON
ejpam-3735	333	39	⇒	⇒	VERB
ejpam-3735	333	40	0	0	NUM
ejpam-3735	334	1	•	•	NOUN
ejpam-3735	334	2	a	a	DET
ejpam-3735	334	3	∈	∈	NOUN
ejpam-3735	335	1	i	i	PRON
ejpam-3735	335	2	and	and	CCONJ
ejpam-3735	335	3	0	0	NUM
ejpam-3735	335	4	?	?	PUNCT
ejpam-3735	336	1	a	a	DET
ejpam-3735	336	2	∈	∈	PROPN
ejpam-3735	337	1	i	i	PRON
ejpam-3735	337	2	,	,	PUNCT
ejpam-3735	337	3	(	(	PUNCT
ejpam-3735	337	4	2	2	X
ejpam-3735	337	5	)	)	PUNCT
ejpam-3735	337	6	a	a	DET
ejpam-3735	337	7	•	•	NOUN
ejpam-3735	337	8	b	b	NOUN
ejpam-3735	337	9	,	,	PUNCT
ejpam-3735	337	10	a	a	PRON
ejpam-3735	337	11	?	?	PUNCT
ejpam-3735	337	12	b	b	X
ejpam-3735	337	13	∈	∈	NOUN
ejpam-3735	338	1	i	i	PRON
ejpam-3735	338	2	⇒	⇒	VERB
ejpam-3735	338	3	b	b	X
ejpam-3735	338	4	•	•	NOUN
ejpam-3735	338	5	a	a	DET
ejpam-3735	338	6	∈	∈	NOUN
ejpam-3735	339	1	i	i	PRON
ejpam-3735	339	2	and	and	CCONJ
ejpam-3735	339	3	b	b	NOUN
ejpam-3735	339	4	?	?	PUNCT
ejpam-3735	340	1	a	a	DET
ejpam-3735	340	2	∈	∈	PROPN
ejpam-3735	340	3	i.	i.	NOUN
ejpam-3735	340	4	proof	proof	NOUN
ejpam-3735	340	5	.	.	PUNCT
ejpam-3735	341	1	(	(	PUNCT
ejpam-3735	341	2	1	1	X
ejpam-3735	341	3	)	)	PUNCT
ejpam-3735	341	4	let	let	VERB
ejpam-3735	341	5	a	a	DET
ejpam-3735	341	6	∈	∈	PROPN
ejpam-3735	341	7	i.	i.	NOUN
ejpam-3735	341	8	then	then	ADV
ejpam-3735	341	9	by	by	ADP
ejpam-3735	341	10	(	(	PUNCT
ejpam-3735	341	11	pbf	pbf	NOUN
ejpam-3735	341	12	(	(	PUNCT
ejpam-3735	341	13	2	2	NUM
ejpam-3735	341	14	)	)	PUNCT
ejpam-3735	341	15	)	)	PUNCT
ejpam-3735	342	1	we	we	PRON
ejpam-3735	342	2	have	have	VERB
ejpam-3735	342	3	a	a	DET
ejpam-3735	342	4	=	=	NOUN
ejpam-3735	342	5	a	a	DET
ejpam-3735	342	6	•	•	NOUN
ejpam-3735	342	7	0	0	NUM
ejpam-3735	342	8	∈	∈	NOUN
ejpam-3735	342	9	i	i	PRON
ejpam-3735	342	10	and	and	CCONJ
ejpam-3735	342	11	so	so	ADV
ejpam-3735	342	12	a	a	PRON
ejpam-3735	342	13	=	=	X
ejpam-3735	342	14	a	a	PRON
ejpam-3735	342	15	?	?	NOUN
ejpam-3735	342	16	0	0	NUM
ejpam-3735	343	1	∈	∈	PROPN
ejpam-3735	343	2	i.	i.	NOUN
ejpam-3735	343	3	since	since	SCONJ
ejpam-3735	343	4	i	i	PRON
ejpam-3735	343	5	is	be	AUX
ejpam-3735	343	6	a	a	DET
ejpam-3735	343	7	pseudo	pseudo	NOUN
ejpam-3735	343	8	-	-	ADJ
ejpam-3735	343	9	normal	normal	ADJ
ejpam-3735	343	10	-	-	PUNCT
ejpam-3735	343	11	ideal	ideal	NOUN
ejpam-3735	343	12	,	,	PUNCT
ejpam-3735	343	13	we	we	PRON
ejpam-3735	343	14	get	get	VERB
ejpam-3735	343	15	(	(	PUNCT
ejpam-3735	343	16	0	0	NUM
ejpam-3735	343	17	•	•	NOUN
ejpam-3735	343	18	a	a	PRON
ejpam-3735	343	19	)	)	PUNCT
ejpam-3735	343	20	?	?	PUNCT
ejpam-3735	344	1	(	(	PUNCT
ejpam-3735	344	2	0	0	NUM
ejpam-3735	344	3	•	•	NOUN
ejpam-3735	344	4	0	0	NUM
ejpam-3735	344	5	)	)	PUNCT
ejpam-3735	344	6	and	and	CCONJ
ejpam-3735	344	7	(	(	PUNCT
ejpam-3735	344	8	0	0	NUM
ejpam-3735	344	9	?	?	PUNCT
ejpam-3735	345	1	a	a	PRON
ejpam-3735	345	2	)	)	PUNCT
ejpam-3735	345	3	•	•	NOUN
ejpam-3735	345	4	(	(	PUNCT
ejpam-3735	345	5	0	0	NUM
ejpam-3735	345	6	?	?	SYM
ejpam-3735	345	7	0	0	X
ejpam-3735	345	8	)	)	PUNCT
ejpam-3735	345	9	∈	∈	PROPN
ejpam-3735	345	10	i.	i.	NOUN
ejpam-3735	345	11	by	by	ADP
ejpam-3735	345	12	(	(	PUNCT
ejpam-3735	345	13	pbf	pbf	NOUN
ejpam-3735	345	14	(	(	PUNCT
ejpam-3735	345	15	1	1	NUM
ejpam-3735	345	16	)	)	PUNCT
ejpam-3735	345	17	)	)	PUNCT
ejpam-3735	346	1	then	then	ADV
ejpam-3735	346	2	(	(	PUNCT
ejpam-3735	346	3	0	0	NUM
ejpam-3735	346	4	•	•	NOUN
ejpam-3735	346	5	a	a	NOUN
ejpam-3735	346	6	)	)	PUNCT
ejpam-3735	346	7	?	?	PUNCT
ejpam-3735	346	8	0	0	PUNCT
ejpam-3735	347	1	and	and	CCONJ
ejpam-3735	347	2	(	(	PUNCT
ejpam-3735	347	3	0	0	NUM
ejpam-3735	347	4	?	?	PUNCT
ejpam-3735	348	1	a	a	X
ejpam-3735	348	2	)	)	PUNCT
ejpam-3735	348	3	•	•	NOUN
ejpam-3735	348	4	0	0	NUM
ejpam-3735	348	5	∈	∈	NOUN
ejpam-3735	349	1	i	i	PRON
ejpam-3735	349	2	and	and	CCONJ
ejpam-3735	349	3	0	0	NUM
ejpam-3735	349	4	∈	∈	PROPN
ejpam-3735	349	5	i	i	PRON
ejpam-3735	349	6	from	from	ADP
ejpam-3735	349	7	(	(	PUNCT
ejpam-3735	349	8	pi1	pi1	NOUN
ejpam-3735	349	9	)	)	PUNCT
ejpam-3735	349	10	.	.	PUNCT
ejpam-3735	350	1	by	by	ADP
ejpam-3735	350	2	(	(	PUNCT
ejpam-3735	350	3	pi2	pi2	NOUN
ejpam-3735	350	4	)	)	PUNCT
ejpam-3735	350	5	we	we	PRON
ejpam-3735	350	6	get	get	VERB
ejpam-3735	350	7	(	(	PUNCT
ejpam-3735	350	8	0	0	NUM
ejpam-3735	350	9	•	•	NOUN
ejpam-3735	350	10	a	a	NOUN
ejpam-3735	350	11	)	)	PUNCT
ejpam-3735	350	12	,	,	PUNCT
ejpam-3735	350	13	(	(	PUNCT
ejpam-3735	350	14	0	0	NUM
ejpam-3735	350	15	?	?	PUNCT
ejpam-3735	351	1	a	a	DET
ejpam-3735	351	2	)	)	PUNCT
ejpam-3735	351	3	∈	∈	PROPN
ejpam-3735	351	4	i.	i.	NOUN
ejpam-3735	351	5	(	(	PUNCT
ejpam-3735	351	6	2	2	X
ejpam-3735	351	7	)	)	PUNCT
ejpam-3735	351	8	let	let	VERB
ejpam-3735	351	9	a	a	DET
ejpam-3735	351	10	•	•	NOUN
ejpam-3735	351	11	b	b	NOUN
ejpam-3735	351	12	,	,	PUNCT
ejpam-3735	351	13	a	a	PRON
ejpam-3735	351	14	?	?	PUNCT
ejpam-3735	351	15	b	b	X
ejpam-3735	351	16	∈	∈	PROPN
ejpam-3735	351	17	i.	i.	NOUN
ejpam-3735	351	18	by	by	ADP
ejpam-3735	351	19	(	(	PUNCT
ejpam-3735	351	20	1	1	X
ejpam-3735	351	21	)	)	PUNCT
ejpam-3735	351	22	we	we	PRON
ejpam-3735	351	23	get	get	VERB
ejpam-3735	351	24	0	0	NUM
ejpam-3735	351	25	?	?	PUNCT
ejpam-3735	352	1	(	(	PUNCT
ejpam-3735	352	2	a	a	DET
ejpam-3735	352	3	•	•	NUM
ejpam-3735	352	4	b	b	NOUN
ejpam-3735	352	5	)	)	PUNCT
ejpam-3735	352	6	,	,	PUNCT
ejpam-3735	352	7	0	0	NUM
ejpam-3735	352	8	•	•	NOUN
ejpam-3735	352	9	(	(	PUNCT
ejpam-3735	352	10	a	a	DET
ejpam-3735	352	11	?	?	NOUN
ejpam-3735	352	12	b	b	X
ejpam-3735	352	13	)	)	PUNCT
ejpam-3735	352	14	∈	∈	PROPN
ejpam-3735	352	15	i.	i.	NOUN
ejpam-3735	352	16	applying	apply	VERB
ejpam-3735	352	17	(	(	PUNCT
ejpam-3735	352	18	pbf	pbf	NOUN
ejpam-3735	352	19	(	(	PUNCT
ejpam-3735	352	20	3	3	NUM
ejpam-3735	352	21	)	)	PUNCT
ejpam-3735	352	22	)	)	PUNCT
ejpam-3735	353	1	we	we	PRON
ejpam-3735	353	2	have	have	VERB
ejpam-3735	353	3	b	b	NUM
ejpam-3735	353	4	•	•	NOUN
ejpam-3735	353	5	a	a	PRON
ejpam-3735	353	6	,	,	PUNCT
ejpam-3735	353	7	b	b	NOUN
ejpam-3735	353	8	?	?	PUNCT
ejpam-3735	354	1	a	a	DET
ejpam-3735	354	2	∈	∈	PROPN
ejpam-3735	354	3	i.	i.	PROPN
ejpam-3735	354	4	h.	h.	PROPN
ejpam-3735	354	5	m.	m.	PROPN
ejpam-3735	354	6	al	al	PROPN
ejpam-3735	354	7	-	-	PUNCT
ejpam-3735	354	8	malki	malki	PROPN
ejpam-3735	354	9	,	,	PUNCT
ejpam-3735	354	10	d.	d.	PROPN
ejpam-3735	354	11	s.	s.	PROPN
ejpam-3735	354	12	al	al	PROPN
ejpam-3735	354	13	-	-	PUNCT
ejpam-3735	354	14	kadi	kadi	PROPN
ejpam-3735	354	15	/	/	SYM
ejpam-3735	354	16	eur	eur	PROPN
ejpam-3735	354	17	.	.	PUNCT
ejpam-3735	355	1	j.	j.	PROPN
ejpam-3735	355	2	pure	pure	PROPN
ejpam-3735	355	3	appl	appl	PROPN
ejpam-3735	355	4	.	.	PROPN
ejpam-3735	355	5	math	math	PROPN
ejpam-3735	355	6	,	,	PUNCT
ejpam-3735	355	7	13	13	NUM
ejpam-3735	355	8	(	(	PUNCT
ejpam-3735	355	9	3	3	NUM
ejpam-3735	355	10	)	)	PUNCT
ejpam-3735	355	11	(	(	PUNCT
ejpam-3735	355	12	2020	2020	NUM
ejpam-3735	355	13	)	)	PUNCT
ejpam-3735	355	14	,	,	PUNCT
ejpam-3735	355	15	498	498	NUM
ejpam-3735	355	16	-	-	SYM
ejpam-3735	355	17	512	512	NUM
ejpam-3735	355	18	506	506	NUM
ejpam-3735	355	19	proposition	proposition	NOUN
ejpam-3735	355	20	5	5	NUM
ejpam-3735	355	21	.	.	PUNCT
ejpam-3735	356	1	in	in	ADP
ejpam-3735	356	2	a	a	DET
ejpam-3735	356	3	pseudo	pseudo	NOUN
ejpam-3735	356	4	-	-	NOUN
ejpam-3735	356	5	bf	bf	NOUN
ejpam-3735	356	6	-algebra	-algebra	NOUN
ejpam-3735	356	7	(	(	PUNCT
ejpam-3735	356	8	e	e	NOUN
ejpam-3735	356	9	;	;	PUNCT
ejpam-3735	356	10	•	•	NUM
ejpam-3735	356	11	,	,	PUNCT
ejpam-3735	356	12	?	?	PUNCT
ejpam-3735	356	13	,	,	PUNCT
ejpam-3735	356	14	0	0	NUM
ejpam-3735	356	15	)	)	PUNCT
ejpam-3735	356	16	,	,	PUNCT
ejpam-3735	356	17	let	let	VERB
ejpam-3735	356	18	i	i	PRON
ejpam-3735	356	19	be	be	AUX
ejpam-3735	356	20	a	a	DET
ejpam-3735	356	21	pseudo	pseudo	NOUN
ejpam-3735	356	22	-	-	ADJ
ejpam-3735	356	23	normal	normal	ADJ
ejpam-3735	356	24	-	-	PUNCT
ejpam-3735	356	25	ideal	ideal	NOUN
ejpam-3735	356	26	.	.	PUNCT
ejpam-3735	357	1	then	then	ADV
ejpam-3735	357	2	i	i	PRON
ejpam-3735	357	3	is	be	AUX
ejpam-3735	357	4	a	a	DET
ejpam-3735	357	5	pseudo	pseudo	NOUN
ejpam-3735	357	6	-	-	NOUN
ejpam-3735	357	7	subalgebra	subalgebra	NOUN
ejpam-3735	357	8	that	that	PRON
ejpam-3735	357	9	satisfies	satisfy	VERB
ejpam-3735	357	10	the	the	DET
ejpam-3735	357	11	following	follow	VERB
ejpam-3735	357	12	condition	condition	NOUN
ejpam-3735	357	13	:	:	PUNCT
ejpam-3735	357	14	(	(	PUNCT
ejpam-3735	357	15	pni	pni	NOUN
ejpam-3735	357	16	)	)	PUNCT
ejpam-3735	357	17	if	if	SCONJ
ejpam-3735	357	18	a	a	DET
ejpam-3735	357	19	∈	∈	PROPN
ejpam-3735	357	20	e	e	NOUN
ejpam-3735	357	21	and	and	CCONJ
ejpam-3735	357	22	b	b	X
ejpam-3735	357	23	∈	∈	PROPN
ejpam-3735	358	1	i	i	PRON
ejpam-3735	358	2	,	,	PUNCT
ejpam-3735	358	3	then	then	ADV
ejpam-3735	358	4	a	a	PRON
ejpam-3735	358	5	?	?	PUNCT
ejpam-3735	359	1	(	(	PUNCT
ejpam-3735	359	2	a	a	DET
ejpam-3735	359	3	•	•	NUM
ejpam-3735	359	4	b	b	NOUN
ejpam-3735	359	5	)	)	PUNCT
ejpam-3735	359	6	,	,	PUNCT
ejpam-3735	359	7	a	a	DET
ejpam-3735	359	8	•	•	NOUN
ejpam-3735	359	9	(	(	PUNCT
ejpam-3735	359	10	a	a	DET
ejpam-3735	359	11	?	?	NOUN
ejpam-3735	359	12	b	b	X
ejpam-3735	359	13	)	)	PUNCT
ejpam-3735	359	14	∈	∈	PROPN
ejpam-3735	359	15	i.	i.	NOUN
ejpam-3735	359	16	proof	proof	NOUN
ejpam-3735	359	17	.	.	PUNCT
ejpam-3735	360	1	let	let	VERB
ejpam-3735	360	2	a	a	DET
ejpam-3735	360	3	∈	∈	NOUN
ejpam-3735	360	4	e	e	NOUN
ejpam-3735	360	5	and	and	CCONJ
ejpam-3735	360	6	b	b	PROPN
ejpam-3735	360	7	∈	∈	PROPN
ejpam-3735	360	8	i.	i.	NOUN
ejpam-3735	360	9	by	by	ADP
ejpam-3735	360	10	(	(	PUNCT
ejpam-3735	360	11	lemma	lemma	PROPN
ejpam-3735	360	12	2	2	NUM
ejpam-3735	360	13	(	(	PUNCT
ejpam-3735	360	14	1	1	NUM
ejpam-3735	360	15	)	)	PUNCT
ejpam-3735	360	16	)	)	PUNCT
ejpam-3735	360	17	,	,	PUNCT
ejpam-3735	360	18	0•	0•	PUNCT
ejpam-3735	361	1	b	b	X
ejpam-3735	361	2	,	,	PUNCT
ejpam-3735	361	3	0?b	0?b	PROPN
ejpam-3735	361	4	∈	∈	PROPN
ejpam-3735	361	5	i.	i.	NOUN
ejpam-3735	361	6	we	we	PRON
ejpam-3735	361	7	have	have	VERB
ejpam-3735	361	8	(	(	PUNCT
ejpam-3735	361	9	a•0	a•0	ADV
ejpam-3735	361	10	)	)	PUNCT
ejpam-3735	361	11	?	?	PUNCT
ejpam-3735	362	1	(	(	PUNCT
ejpam-3735	362	2	a•	a•	PROPN
ejpam-3735	362	3	b	b	PROPN
ejpam-3735	362	4	)	)	PUNCT
ejpam-3735	362	5	and	and	CCONJ
ejpam-3735	362	6	(	(	PUNCT
ejpam-3735	362	7	a	a	PRON
ejpam-3735	362	8	?	?	NOUN
ejpam-3735	362	9	0	0	NUM
ejpam-3735	362	10	)	)	PUNCT
ejpam-3735	362	11	•	•	NOUN
ejpam-3735	362	12	(	(	PUNCT
ejpam-3735	362	13	a	a	DET
ejpam-3735	362	14	?	?	NOUN
ejpam-3735	362	15	b	b	X
ejpam-3735	362	16	)	)	PUNCT
ejpam-3735	362	17	∈	∈	PROPN
ejpam-3735	363	1	i	i	PRON
ejpam-3735	363	2	as	as	SCONJ
ejpam-3735	363	3	i	i	PRON
ejpam-3735	363	4	is	be	AUX
ejpam-3735	363	5	a	a	DET
ejpam-3735	363	6	pseudo	pseudo	NOUN
ejpam-3735	363	7	-	-	ADJ
ejpam-3735	363	8	normal	normal	ADJ
ejpam-3735	363	9	-	-	PUNCT
ejpam-3735	363	10	ideal	ideal	NOUN
ejpam-3735	363	11	.	.	PUNCT
ejpam-3735	364	1	by	by	ADP
ejpam-3735	364	2	(	(	PUNCT
ejpam-3735	364	3	pbf	pbf	NOUN
ejpam-3735	364	4	(	(	PUNCT
ejpam-3735	364	5	2	2	NUM
ejpam-3735	364	6	)	)	PUNCT
ejpam-3735	364	7	)	)	PUNCT
ejpam-3735	364	8	,	,	PUNCT
ejpam-3735	364	9	a	a	PRON
ejpam-3735	364	10	?	?	PUNCT
ejpam-3735	365	1	(	(	PUNCT
ejpam-3735	365	2	a	a	DET
ejpam-3735	365	3	•	•	NUM
ejpam-3735	365	4	b	b	NOUN
ejpam-3735	365	5	)	)	PUNCT
ejpam-3735	365	6	and	and	CCONJ
ejpam-3735	365	7	a	a	DET
ejpam-3735	365	8	•	•	NOUN
ejpam-3735	365	9	(	(	PUNCT
ejpam-3735	365	10	a	a	DET
ejpam-3735	365	11	?	?	NOUN
ejpam-3735	365	12	b	b	X
ejpam-3735	365	13	)	)	PUNCT
ejpam-3735	365	14	∈	∈	PROPN
ejpam-3735	365	15	i.	i.	NOUN
ejpam-3735	365	16	thus	thus	ADV
ejpam-3735	365	17	(	(	PUNCT
ejpam-3735	365	18	pni	pni	NOUN
ejpam-3735	365	19	)	)	PUNCT
ejpam-3735	365	20	holds	hold	VERB
ejpam-3735	365	21	.	.	PUNCT
ejpam-3735	366	1	now	now	ADV
ejpam-3735	366	2	let	let	VERB
ejpam-3735	366	3	a	a	DET
ejpam-3735	366	4	,	,	PUNCT
ejpam-3735	366	5	b	b	X
ejpam-3735	366	6	∈	∈	PROPN
ejpam-3735	366	7	i.	i.	NOUN
ejpam-3735	367	1	therefore	therefore	ADV
ejpam-3735	367	2	a	a	PRON
ejpam-3735	367	3	?	?	PUNCT
ejpam-3735	368	1	(	(	PUNCT
ejpam-3735	368	2	a	a	DET
ejpam-3735	368	3	•	•	NUM
ejpam-3735	368	4	b	b	NOUN
ejpam-3735	368	5	)	)	PUNCT
ejpam-3735	368	6	,	,	PUNCT
ejpam-3735	368	7	a	a	DET
ejpam-3735	368	8	•	•	NOUN
ejpam-3735	368	9	(	(	PUNCT
ejpam-3735	368	10	a	a	DET
ejpam-3735	368	11	?	?	NOUN
ejpam-3735	368	12	b	b	X
ejpam-3735	368	13	)	)	PUNCT
ejpam-3735	368	14	∈	∈	PROPN
ejpam-3735	368	15	i.	i.	NOUN
ejpam-3735	368	16	by	by	ADP
ejpam-3735	368	17	(	(	PUNCT
ejpam-3735	368	18	lemma	lemma	PROPN
ejpam-3735	368	19	2	2	NUM
ejpam-3735	368	20	(	(	PUNCT
ejpam-3735	368	21	2	2	NUM
ejpam-3735	368	22	)	)	PUNCT
ejpam-3735	368	23	)	)	PUNCT
ejpam-3735	368	24	,	,	PUNCT
ejpam-3735	368	25	(	(	PUNCT
ejpam-3735	368	26	a	a	DET
ejpam-3735	368	27	•	•	NUM
ejpam-3735	368	28	b	b	NOUN
ejpam-3735	368	29	)	)	PUNCT
ejpam-3735	368	30	?	?	PUNCT
ejpam-3735	369	1	a	a	PRON
ejpam-3735	369	2	,	,	PUNCT
ejpam-3735	369	3	(	(	PUNCT
ejpam-3735	369	4	a?b)•a	a?b)•a	VERB
ejpam-3735	369	5	∈	∈	PROPN
ejpam-3735	369	6	i	i	PRON
ejpam-3735	369	7	;	;	PUNCT
ejpam-3735	369	8	a	a	DET
ejpam-3735	369	9	∈	∈	PROPN
ejpam-3735	369	10	i.	i.	NOUN
ejpam-3735	369	11	from	from	ADP
ejpam-3735	369	12	(	(	PUNCT
ejpam-3735	369	13	pi2	pi2	PROPN
ejpam-3735	369	14	)	)	PUNCT
ejpam-3735	369	15	we	we	PRON
ejpam-3735	369	16	have	have	VERB
ejpam-3735	369	17	(	(	PUNCT
ejpam-3735	369	18	a•b	a•b	PROPN
ejpam-3735	369	19	)	)	PUNCT
ejpam-3735	369	20	,	,	PUNCT
ejpam-3735	369	21	(	(	PUNCT
ejpam-3735	369	22	a?b	a?b	ADV
ejpam-3735	369	23	)	)	PUNCT
ejpam-3735	369	24	∈	∈	PROPN
ejpam-3735	369	25	i.	i.	NOUN
ejpam-3735	370	1	thus	thus	ADV
ejpam-3735	370	2	i	i	PRON
ejpam-3735	370	3	is	be	AUX
ejpam-3735	370	4	a	a	DET
ejpam-3735	370	5	pseudo	pseudo	NOUN
ejpam-3735	370	6	-	-	NOUN
ejpam-3735	370	7	subalgebra	subalgebra	ADJ
ejpam-3735	371	1	satisfying	satisfying	ADJ
ejpam-3735	371	2	(	(	PUNCT
ejpam-3735	371	3	pni	pni	NOUN
ejpam-3735	371	4	)	)	PUNCT
ejpam-3735	371	5	.	.	PUNCT
ejpam-3735	372	1	proposition	proposition	NOUN
ejpam-3735	372	2	6	6	NUM
ejpam-3735	372	3	.	.	PUNCT
ejpam-3735	373	1	in	in	ADP
ejpam-3735	373	2	a	a	DET
ejpam-3735	373	3	pseudo	pseudo	NOUN
ejpam-3735	373	4	-	-	NOUN
ejpam-3735	373	5	bf	bf	NOUN
ejpam-3735	373	6	-algebra	-algebra	NOUN
ejpam-3735	373	7	(	(	PUNCT
ejpam-3735	373	8	e	e	NOUN
ejpam-3735	373	9	;	;	PUNCT
ejpam-3735	373	10	•	•	NUM
ejpam-3735	373	11	,	,	PUNCT
ejpam-3735	373	12	?	?	PUNCT
ejpam-3735	373	13	,	,	PUNCT
ejpam-3735	373	14	0	0	NUM
ejpam-3735	373	15	)	)	PUNCT
ejpam-3735	373	16	,	,	PUNCT
ejpam-3735	373	17	let	let	VERB
ejpam-3735	373	18	i	i	PRON
ejpam-3735	373	19	be	be	AUX
ejpam-3735	373	20	a	a	DET
ejpam-3735	373	21	pseudo	pseudo	NOUN
ejpam-3735	373	22	-	-	NOUN
ejpam-3735	373	23	ideal	ideal	NOUN
ejpam-3735	373	24	.	.	PUNCT
ejpam-3735	374	1	then	then	ADV
ejpam-3735	374	2	for	for	ADP
ejpam-3735	374	3	a	a	DET
ejpam-3735	374	4	,	,	PUNCT
ejpam-3735	374	5	b	b	X
ejpam-3735	374	6	∈	∈	PROPN
ejpam-3735	374	7	e	e	X
ejpam-3735	374	8	where	where	SCONJ
ejpam-3735	374	9	b	b	X
ejpam-3735	374	10	≤	≤	ADV
ejpam-3735	374	11	a	a	PRON
ejpam-3735	374	12	,	,	PUNCT
ejpam-3735	374	13	if	if	SCONJ
ejpam-3735	374	14	a	a	DET
ejpam-3735	374	15	∈	∈	X
ejpam-3735	374	16	i	i	PRON
ejpam-3735	374	17	,	,	PUNCT
ejpam-3735	374	18	we	we	PRON
ejpam-3735	374	19	have	have	VERB
ejpam-3735	374	20	b	b	NUM
ejpam-3735	374	21	∈	∈	PROPN
ejpam-3735	374	22	i.	i.	NOUN
ejpam-3735	374	23	proof	proof	NOUN
ejpam-3735	374	24	.	.	PUNCT
ejpam-3735	375	1	let	let	VERB
ejpam-3735	375	2	a	a	DET
ejpam-3735	375	3	∈	∈	ADJ
ejpam-3735	376	1	i	i	PRON
ejpam-3735	376	2	and	and	CCONJ
ejpam-3735	376	3	b	b	PROPN
ejpam-3735	376	4	≤	≤	NUM
ejpam-3735	376	5	a.	a.	NOUN
ejpam-3735	376	6	thus	thus	ADV
ejpam-3735	376	7	b	b	NUM
ejpam-3735	376	8	•	•	NOUN
ejpam-3735	376	9	a	a	PRON
ejpam-3735	376	10	=	=	NOUN
ejpam-3735	376	11	0	0	NUM
ejpam-3735	376	12	,	,	PUNCT
ejpam-3735	376	13	b	b	NOUN
ejpam-3735	376	14	?	?	PUNCT
ejpam-3735	377	1	a	a	DET
ejpam-3735	377	2	=	=	NOUN
ejpam-3735	377	3	0	0	NUM
ejpam-3735	377	4	.	.	PUNCT
ejpam-3735	378	1	by	by	ADP
ejpam-3735	378	2	(	(	PUNCT
ejpam-3735	378	3	pi1	pi1	NOUN
ejpam-3735	378	4	)	)	PUNCT
ejpam-3735	378	5	and	and	CCONJ
ejpam-3735	378	6	(	(	PUNCT
ejpam-3735	378	7	pi2	pi2	PROPN
ejpam-3735	378	8	)	)	PUNCT
ejpam-3735	378	9	,	,	PUNCT
ejpam-3735	378	10	we	we	PRON
ejpam-3735	378	11	have	have	VERB
ejpam-3735	378	12	0	0	NUM
ejpam-3735	378	13	∈	∈	NOUN
ejpam-3735	378	14	i	i	PRON
ejpam-3735	378	15	and	and	CCONJ
ejpam-3735	378	16	so	so	ADV
ejpam-3735	378	17	having	have	VERB
ejpam-3735	378	18	b	b	NOUN
ejpam-3735	378	19	•	•	ADP
ejpam-3735	378	20	a	a	PRON
ejpam-3735	378	21	,	,	PUNCT
ejpam-3735	378	22	b	b	NOUN
ejpam-3735	378	23	?	?	PUNCT
ejpam-3735	379	1	a	a	DET
ejpam-3735	379	2	∈	∈	NOUN
ejpam-3735	380	1	i	i	PRON
ejpam-3735	380	2	,	,	PUNCT
ejpam-3735	380	3	a	a	DET
ejpam-3735	380	4	∈	∈	NOUN
ejpam-3735	380	5	i	i	PRON
ejpam-3735	380	6	we	we	PRON
ejpam-3735	380	7	get	get	VERB
ejpam-3735	380	8	b	b	PROPN
ejpam-3735	380	9	∈	∈	PROPN
ejpam-3735	380	10	i.	i.	NOUN
ejpam-3735	380	11	theorem	theorem	VERB
ejpam-3735	380	12	6	6	NUM
ejpam-3735	380	13	.	.	PUNCT
ejpam-3735	381	1	in	in	ADP
ejpam-3735	381	2	a	a	DET
ejpam-3735	381	3	pseudo	pseudo	NOUN
ejpam-3735	381	4	-	-	NOUN
ejpam-3735	381	5	bf	bf	NOUN
ejpam-3735	381	6	-algebra	-algebra	NOUN
ejpam-3735	381	7	(	(	PUNCT
ejpam-3735	381	8	e	e	NOUN
ejpam-3735	381	9	;	;	PUNCT
ejpam-3735	381	10	•	•	NUM
ejpam-3735	381	11	,	,	PUNCT
ejpam-3735	381	12	?	?	PUNCT
ejpam-3735	381	13	,	,	PUNCT
ejpam-3735	381	14	0	0	NUM
ejpam-3735	381	15	)	)	PUNCT
ejpam-3735	381	16	,	,	PUNCT
ejpam-3735	381	17	let	let	VERB
ejpam-3735	381	18	φ	φ	PROPN
ejpam-3735	381	19	6=	6=	PROPN
ejpam-3735	381	20	i	i	PROPN
ejpam-3735	381	21	⊆	⊆	NUM
ejpam-3735	381	22	e.	e.	PROPN
ejpam-3735	382	1	then	then	ADV
ejpam-3735	382	2	i	i	PRON
ejpam-3735	382	3	is	be	AUX
ejpam-3735	382	4	a	a	DET
ejpam-3735	382	5	pseudo	pseudo	NOUN
ejpam-3735	382	6	-	-	NOUN
ejpam-3735	382	7	ideal	ideal	NOUN
ejpam-3735	382	8	of	of	ADP
ejpam-3735	382	9	e	e	NOUN
ejpam-3735	382	10	if	if	SCONJ
ejpam-3735	383	1	and	and	CCONJ
ejpam-3735	383	2	only	only	ADV
ejpam-3735	383	3	if	if	SCONJ
ejpam-3735	383	4	the	the	DET
ejpam-3735	383	5	following	follow	VERB
ejpam-3735	383	6	hold	hold	NOUN
ejpam-3735	383	7	:	:	PUNCT
ejpam-3735	383	8	(	(	PUNCT
ejpam-3735	383	9	1	1	X
ejpam-3735	383	10	)	)	PUNCT
ejpam-3735	383	11	for	for	ADP
ejpam-3735	383	12	all	all	DET
ejpam-3735	383	13	a	a	DET
ejpam-3735	383	14	,	,	PUNCT
ejpam-3735	383	15	b	b	NOUN
ejpam-3735	383	16	,	,	PUNCT
ejpam-3735	383	17	c	c	PROPN
ejpam-3735	383	18	∈	∈	PROPN
ejpam-3735	383	19	e	e	PROPN
ejpam-3735	383	20	,	,	PUNCT
ejpam-3735	383	21	a	a	PRON
ejpam-3735	383	22	,	,	PUNCT
ejpam-3735	383	23	b	b	X
ejpam-3735	383	24	∈	∈	NOUN
ejpam-3735	384	1	i	i	PRON
ejpam-3735	384	2	and	and	CCONJ
ejpam-3735	384	3	c	c	PROPN
ejpam-3735	384	4	•	•	NUM
ejpam-3735	384	5	b	b	X
ejpam-3735	384	6	≤	≤	NOUN
ejpam-3735	384	7	a	a	DET
ejpam-3735	384	8	=	=	NOUN
ejpam-3735	384	9	⇒	⇒	NOUN
ejpam-3735	384	10	c	c	PROPN
ejpam-3735	384	11	∈	∈	PROPN
ejpam-3735	384	12	i.	i.	NOUN
ejpam-3735	384	13	(	(	PUNCT
ejpam-3735	384	14	2	2	NUM
ejpam-3735	384	15	)	)	PUNCT
ejpam-3735	384	16	for	for	ADP
ejpam-3735	384	17	all	all	DET
ejpam-3735	384	18	a	a	DET
ejpam-3735	384	19	,	,	PUNCT
ejpam-3735	384	20	b	b	NOUN
ejpam-3735	384	21	,	,	PUNCT
ejpam-3735	384	22	c	c	PROPN
ejpam-3735	384	23	∈	∈	PROPN
ejpam-3735	384	24	e	e	PROPN
ejpam-3735	384	25	,	,	PUNCT
ejpam-3735	384	26	a	a	PRON
ejpam-3735	384	27	,	,	PUNCT
ejpam-3735	384	28	b	b	X
ejpam-3735	384	29	∈	∈	NOUN
ejpam-3735	385	1	i	i	PRON
ejpam-3735	385	2	and	and	CCONJ
ejpam-3735	385	3	c	c	NOUN
ejpam-3735	385	4	?	?	PUNCT
ejpam-3735	386	1	b	b	X
ejpam-3735	386	2	≤	≤	NOUN
ejpam-3735	386	3	a	a	DET
ejpam-3735	386	4	=	=	NOUN
ejpam-3735	386	5	⇒	⇒	NOUN
ejpam-3735	386	6	c	c	PROPN
ejpam-3735	386	7	∈	∈	PROPN
ejpam-3735	386	8	i.	i.	NOUN
ejpam-3735	386	9	proof	proof	NOUN
ejpam-3735	386	10	.	.	PUNCT
ejpam-3735	387	1	let	let	VERB
ejpam-3735	387	2	i	i	PRON
ejpam-3735	387	3	be	be	AUX
ejpam-3735	387	4	a	a	DET
ejpam-3735	387	5	pseudo	pseudo	NOUN
ejpam-3735	387	6	-	-	NOUN
ejpam-3735	387	7	ideal	ideal	NOUN
ejpam-3735	387	8	of	of	ADP
ejpam-3735	387	9	e.	e.	PROPN
ejpam-3735	387	10	let	let	VERB
ejpam-3735	387	11	a	a	DET
ejpam-3735	387	12	,	,	PUNCT
ejpam-3735	387	13	b	b	NOUN
ejpam-3735	387	14	,	,	PUNCT
ejpam-3735	387	15	c	c	PROPN
ejpam-3735	387	16	∈	∈	PROPN
ejpam-3735	387	17	e	e	PROPN
ejpam-3735	387	18	,	,	PUNCT
ejpam-3735	387	19	a	a	PRON
ejpam-3735	387	20	,	,	PUNCT
ejpam-3735	387	21	b	b	X
ejpam-3735	387	22	∈	∈	NOUN
ejpam-3735	388	1	i	i	PRON
ejpam-3735	388	2	and	and	CCONJ
ejpam-3735	388	3	c	c	PROPN
ejpam-3735	388	4	•	•	NUM
ejpam-3735	388	5	b	b	X
ejpam-3735	388	6	≤	≤	NOUN
ejpam-3735	388	7	a	a	PRON
ejpam-3735	388	8	we	we	PRON
ejpam-3735	388	9	have	have	VERB
ejpam-3735	388	10	(	(	PUNCT
ejpam-3735	388	11	c	c	NOUN
ejpam-3735	388	12	•	•	NUM
ejpam-3735	388	13	b	b	NOUN
ejpam-3735	388	14	)	)	PUNCT
ejpam-3735	388	15	?	?	PUNCT
ejpam-3735	389	1	a	a	DET
ejpam-3735	389	2	=	=	SYM
ejpam-3735	389	3	0	0	NUM
ejpam-3735	389	4	∈	∈	PROPN
ejpam-3735	389	5	i	i	PRON
ejpam-3735	389	6	from	from	ADP
ejpam-3735	389	7	(	(	PUNCT
ejpam-3735	389	8	pi1	pi1	NOUN
ejpam-3735	389	9	)	)	PUNCT
ejpam-3735	389	10	.	.	PUNCT
ejpam-3735	390	1	since	since	SCONJ
ejpam-3735	390	2	a	a	DET
ejpam-3735	390	3	∈	∈	NOUN
ejpam-3735	390	4	i	i	PRON
ejpam-3735	390	5	then	then	ADV
ejpam-3735	390	6	c	c	PROPN
ejpam-3735	390	7	•	•	NUM
ejpam-3735	390	8	b	b	X
ejpam-3735	391	1	∈	∈	NOUN
ejpam-3735	391	2	i	i	PRON
ejpam-3735	391	3	by	by	ADP
ejpam-3735	391	4	(	(	PUNCT
ejpam-3735	391	5	pi2	pi2	PROPN
ejpam-3735	391	6	)	)	PUNCT
ejpam-3735	391	7	.	.	PUNCT
ejpam-3735	392	1	since	since	SCONJ
ejpam-3735	392	2	b	b	PROPN
ejpam-3735	392	3	∈	∈	PROPN
ejpam-3735	393	1	i	i	PRON
ejpam-3735	393	2	then	then	ADV
ejpam-3735	393	3	c	c	VERB
ejpam-3735	393	4	∈	∈	PROPN
ejpam-3735	393	5	i	i	PRON
ejpam-3735	393	6	by	by	ADP
ejpam-3735	393	7	(	(	PUNCT
ejpam-3735	393	8	pi2	pi2	PROPN
ejpam-3735	393	9	)	)	PUNCT
ejpam-3735	393	10	.	.	PUNCT
ejpam-3735	394	1	thus	thus	ADV
ejpam-3735	394	2	(	(	PUNCT
ejpam-3735	394	3	1	1	X
ejpam-3735	394	4	)	)	PUNCT
ejpam-3735	394	5	is	be	AUX
ejpam-3735	394	6	valid	valid	ADJ
ejpam-3735	394	7	.	.	PUNCT
ejpam-3735	395	1	now	now	ADV
ejpam-3735	395	2	,	,	PUNCT
ejpam-3735	395	3	let	let	VERB
ejpam-3735	395	4	a	a	DET
ejpam-3735	395	5	,	,	PUNCT
ejpam-3735	395	6	b	b	NOUN
ejpam-3735	395	7	,	,	PUNCT
ejpam-3735	395	8	c	c	PROPN
ejpam-3735	395	9	∈	∈	PROPN
ejpam-3735	395	10	e	e	PROPN
ejpam-3735	395	11	,	,	PUNCT
ejpam-3735	395	12	a	a	PRON
ejpam-3735	395	13	,	,	PUNCT
ejpam-3735	395	14	b	b	X
ejpam-3735	395	15	∈	∈	NOUN
ejpam-3735	396	1	i	i	PRON
ejpam-3735	396	2	and	and	CCONJ
ejpam-3735	396	3	c	c	NOUN
ejpam-3735	396	4	?	?	PUNCT
ejpam-3735	397	1	b	b	X
ejpam-3735	397	2	≤	≤	NOUN
ejpam-3735	398	1	a	a	PRON
ejpam-3735	398	2	we	we	PRON
ejpam-3735	398	3	have	have	VERB
ejpam-3735	398	4	(	(	PUNCT
ejpam-3735	398	5	c	c	NOUN
ejpam-3735	398	6	?	?	PUNCT
ejpam-3735	399	1	b	b	X
ejpam-3735	399	2	)	)	PUNCT
ejpam-3735	399	3	•	•	NOUN
ejpam-3735	399	4	a	a	PRON
ejpam-3735	399	5	=	=	SYM
ejpam-3735	399	6	0	0	NUM
ejpam-3735	399	7	∈	∈	PROPN
ejpam-3735	400	1	i	i	PRON
ejpam-3735	400	2	from	from	ADP
ejpam-3735	400	3	(	(	PUNCT
ejpam-3735	400	4	pi1	pi1	NOUN
ejpam-3735	400	5	)	)	PUNCT
ejpam-3735	400	6	.	.	PUNCT
ejpam-3735	401	1	since	since	SCONJ
ejpam-3735	401	2	a	a	DET
ejpam-3735	401	3	∈	∈	NOUN
ejpam-3735	401	4	i	i	PRON
ejpam-3735	401	5	then	then	ADV
ejpam-3735	401	6	c	c	VERB
ejpam-3735	401	7	?	?	PUNCT
ejpam-3735	402	1	b	b	X
ejpam-3735	402	2	∈	∈	ADJ
ejpam-3735	402	3	i	i	PRON
ejpam-3735	402	4	by	by	ADP
ejpam-3735	402	5	(	(	PUNCT
ejpam-3735	402	6	pi2	pi2	PROPN
ejpam-3735	402	7	)	)	PUNCT
ejpam-3735	402	8	.	.	PUNCT
ejpam-3735	403	1	since	since	SCONJ
ejpam-3735	403	2	b	b	PROPN
ejpam-3735	403	3	∈	∈	PROPN
ejpam-3735	404	1	i	i	PRON
ejpam-3735	404	2	then	then	ADV
ejpam-3735	404	3	c	c	VERB
ejpam-3735	404	4	∈	∈	PROPN
ejpam-3735	404	5	i	i	PRON
ejpam-3735	404	6	by	by	ADP
ejpam-3735	404	7	(	(	PUNCT
ejpam-3735	404	8	pi2	pi2	PROPN
ejpam-3735	404	9	)	)	PUNCT
ejpam-3735	404	10	.	.	PUNCT
ejpam-3735	405	1	thus	thus	ADV
ejpam-3735	405	2	(	(	PUNCT
ejpam-3735	405	3	2	2	X
ejpam-3735	405	4	)	)	PUNCT
ejpam-3735	405	5	is	be	AUX
ejpam-3735	405	6	true	true	ADJ
ejpam-3735	405	7	.	.	PUNCT
ejpam-3735	406	1	conversely	conversely	ADV
ejpam-3735	406	2	,	,	PUNCT
ejpam-3735	406	3	suppose	suppose	VERB
ejpam-3735	406	4	that	that	SCONJ
ejpam-3735	406	5	(	(	PUNCT
ejpam-3735	406	6	1	1	NUM
ejpam-3735	406	7	)	)	PUNCT
ejpam-3735	406	8	,	,	PUNCT
ejpam-3735	406	9	(	(	PUNCT
ejpam-3735	406	10	2	2	X
ejpam-3735	406	11	)	)	PUNCT
ejpam-3735	406	12	hold	hold	NOUN
ejpam-3735	406	13	.	.	PUNCT
ejpam-3735	406	14	suppose	suppose	VERB
ejpam-3735	406	15	that	that	SCONJ
ejpam-3735	406	16	b	b	PROPN
ejpam-3735	406	17	∈	∈	PROPN
ejpam-3735	406	18	i.	i.	NOUN
ejpam-3735	406	19	by	by	ADP
ejpam-3735	406	20	using	use	VERB
ejpam-3735	406	21	(	(	PUNCT
ejpam-3735	406	22	1	1	NUM
ejpam-3735	406	23	)	)	PUNCT
ejpam-3735	406	24	,	,	PUNCT
ejpam-3735	406	25	(	(	PUNCT
ejpam-3735	406	26	2	2	X
ejpam-3735	406	27	)	)	PUNCT
ejpam-3735	406	28	we	we	PRON
ejpam-3735	406	29	have	have	VERB
ejpam-3735	406	30	0	0	NUM
ejpam-3735	406	31	•	•	NUM
ejpam-3735	406	32	b	b	PROPN
ejpam-3735	406	33	≤	≤	NUM
ejpam-3735	406	34	b	b	NOUN
ejpam-3735	406	35	and	and	CCONJ
ejpam-3735	406	36	0	0	NUM
ejpam-3735	406	37	?	?	PUNCT
ejpam-3735	407	1	b	b	X
ejpam-3735	407	2	≤	≤	NUM
ejpam-3735	407	3	b	b	NOUN
ejpam-3735	407	4	,	,	PUNCT
ejpam-3735	407	5	then	then	ADV
ejpam-3735	407	6	0	0	NUM
ejpam-3735	407	7	∈	∈	PROPN
ejpam-3735	407	8	i.	i.	NOUN
ejpam-3735	407	9	now	now	ADV
ejpam-3735	407	10	,	,	PUNCT
ejpam-3735	407	11	let	let	VERB
ejpam-3735	407	12	a	a	DET
ejpam-3735	407	13	•	•	NOUN
ejpam-3735	407	14	b	b	NOUN
ejpam-3735	407	15	,	,	PUNCT
ejpam-3735	407	16	a	a	PRON
ejpam-3735	407	17	?	?	PUNCT
ejpam-3735	408	1	b	b	X
ejpam-3735	408	2	∈	∈	PROPN
ejpam-3735	409	1	i	i	PRON
ejpam-3735	409	2	and	and	CCONJ
ejpam-3735	409	3	b	b	PROPN
ejpam-3735	409	4	∈	∈	PROPN
ejpam-3735	409	5	i.	i.	NOUN
ejpam-3735	409	6	by	by	ADP
ejpam-3735	409	7	using	use	VERB
ejpam-3735	409	8	(	(	PUNCT
ejpam-3735	409	9	1	1	NUM
ejpam-3735	409	10	)	)	PUNCT
ejpam-3735	409	11	,	,	PUNCT
ejpam-3735	409	12	(	(	PUNCT
ejpam-3735	409	13	2	2	X
ejpam-3735	409	14	)	)	PUNCT
ejpam-3735	409	15	we	we	PRON
ejpam-3735	409	16	have	have	VERB
ejpam-3735	409	17	a	a	DET
ejpam-3735	409	18	•	•	NUM
ejpam-3735	409	19	b	b	NOUN
ejpam-3735	409	20	≤	≤	NOUN
ejpam-3735	409	21	a	a	DET
ejpam-3735	409	22	•	•	NOUN
ejpam-3735	409	23	b	b	NOUN
ejpam-3735	409	24	and	and	CCONJ
ejpam-3735	409	25	a	a	PRON
ejpam-3735	409	26	?	?	PUNCT
ejpam-3735	410	1	b	b	NOUN
ejpam-3735	410	2	≤	≤	NUM
ejpam-3735	410	3	a	a	PRON
ejpam-3735	410	4	?	?	PUNCT
ejpam-3735	411	1	b	b	X
ejpam-3735	411	2	,	,	PUNCT
ejpam-3735	411	3	then	then	ADV
ejpam-3735	411	4	a	a	DET
ejpam-3735	411	5	∈	∈	PROPN
ejpam-3735	411	6	i.	i.	NOUN
ejpam-3735	411	7	therefore	therefore	ADV
ejpam-3735	411	8	i	i	PRON
ejpam-3735	411	9	is	be	AUX
ejpam-3735	411	10	a	a	DET
ejpam-3735	411	11	pseudo	pseudo	NOUN
ejpam-3735	411	12	-	-	NOUN
ejpam-3735	411	13	ideal	ideal	NOUN
ejpam-3735	411	14	of	of	ADP
ejpam-3735	411	15	e.	e.	PROPN
ejpam-3735	411	16	theorem	theorem	PROPN
ejpam-3735	411	17	7	7	NUM
ejpam-3735	411	18	.	.	PUNCT
ejpam-3735	411	19	in	in	ADP
ejpam-3735	411	20	a	a	DET
ejpam-3735	411	21	pseudo	pseudo	NOUN
ejpam-3735	411	22	-	-	NOUN
ejpam-3735	411	23	bf	bf	NOUN
ejpam-3735	411	24	-algebra	-algebra	NOUN
ejpam-3735	411	25	(	(	PUNCT
ejpam-3735	411	26	e	e	NOUN
ejpam-3735	411	27	;	;	PUNCT
ejpam-3735	411	28	•	•	NUM
ejpam-3735	411	29	,	,	PUNCT
ejpam-3735	411	30	?	?	PUNCT
ejpam-3735	411	31	,	,	PUNCT
ejpam-3735	411	32	0	0	NUM
ejpam-3735	411	33	)	)	PUNCT
ejpam-3735	411	34	,	,	PUNCT
ejpam-3735	411	35	let	let	VERB
ejpam-3735	411	36	i	i	PRON
ejpam-3735	411	37	be	be	AUX
ejpam-3735	411	38	a	a	DET
ejpam-3735	411	39	pseudo	pseudo	NOUN
ejpam-3735	411	40	-	-	NOUN
ejpam-3735	411	41	subalgebra	subalgebra	NOUN
ejpam-3735	411	42	.	.	PUNCT
ejpam-3735	412	1	then	then	ADV
ejpam-3735	412	2	i	i	PRON
ejpam-3735	412	3	is	be	AUX
ejpam-3735	412	4	a	a	DET
ejpam-3735	412	5	pseudo	pseudo	NOUN
ejpam-3735	412	6	-	-	NOUN
ejpam-3735	412	7	ideal	ideal	NOUN
ejpam-3735	412	8	of	of	ADP
ejpam-3735	412	9	e	e	NOUN
ejpam-3735	412	10	if	if	SCONJ
ejpam-3735	413	1	and	and	CCONJ
ejpam-3735	413	2	only	only	ADV
ejpam-3735	413	3	if	if	SCONJ
ejpam-3735	413	4	for	for	ADP
ejpam-3735	413	5	a	a	DET
ejpam-3735	413	6	,	,	PUNCT
ejpam-3735	413	7	b	b	X
ejpam-3735	413	8	∈	∈	PROPN
ejpam-3735	413	9	e	e	NOUN
ejpam-3735	413	10	if	if	SCONJ
ejpam-3735	413	11	a	a	DET
ejpam-3735	413	12	∈	∈	X
ejpam-3735	413	13	i	i	PRON
ejpam-3735	413	14	and	and	CCONJ
ejpam-3735	413	15	b	b	NOUN
ejpam-3735	413	16	/∈	/∈	PUNCT
ejpam-3735	414	1	i	i	PRON
ejpam-3735	414	2	then	then	ADV
ejpam-3735	414	3	b	b	NUM
ejpam-3735	414	4	•	•	NOUN
ejpam-3735	414	5	a	a	PRON
ejpam-3735	414	6	and	and	CCONJ
ejpam-3735	414	7	b	b	NOUN
ejpam-3735	414	8	?	?	PUNCT
ejpam-3735	415	1	a	a	DET
ejpam-3735	415	2	/∈	/∈	NOUN
ejpam-3735	415	3	i.	i.	NOUN
ejpam-3735	415	4	proof	proof	NOUN
ejpam-3735	415	5	.	.	PUNCT
ejpam-3735	416	1	let	let	VERB
ejpam-3735	416	2	a	a	DET
ejpam-3735	416	3	,	,	PUNCT
ejpam-3735	416	4	b	b	X
ejpam-3735	416	5	∈	∈	PROPN
ejpam-3735	416	6	e	e	NOUN
ejpam-3735	416	7	and	and	CCONJ
ejpam-3735	416	8	let	let	VERB
ejpam-3735	416	9	i	i	PRON
ejpam-3735	416	10	be	be	AUX
ejpam-3735	416	11	a	a	DET
ejpam-3735	416	12	pseudo	pseudo	NOUN
ejpam-3735	416	13	-	-	NOUN
ejpam-3735	416	14	ideal	ideal	NOUN
ejpam-3735	416	15	of	of	ADP
ejpam-3735	416	16	e	e	PROPN
ejpam-3735	416	17	where	where	SCONJ
ejpam-3735	416	18	a	a	DET
ejpam-3735	416	19	∈	∈	NOUN
ejpam-3735	416	20	i	i	PRON
ejpam-3735	416	21	and	and	CCONJ
ejpam-3735	416	22	b	b	X
ejpam-3735	416	23	∈	∈	PROPN
ejpam-3735	416	24	e	e	X
ejpam-3735	416	25	−	−	PROPN
ejpam-3735	416	26	i.	i.	NOUN
ejpam-3735	416	27	we	we	PRON
ejpam-3735	416	28	prove	prove	VERB
ejpam-3735	416	29	by	by	ADP
ejpam-3735	416	30	contradiction	contradiction	NOUN
ejpam-3735	416	31	.	.	PUNCT
ejpam-3735	417	1	let	let	VERB
ejpam-3735	417	2	b	b	X
ejpam-3735	417	3	•	•	ADP
ejpam-3735	417	4	a	a	PRON
ejpam-3735	417	5	,	,	PUNCT
ejpam-3735	417	6	b	b	NOUN
ejpam-3735	417	7	?	?	PUNCT
ejpam-3735	418	1	a	a	PRON
ejpam-3735	418	2	/∈	/∈	NOUN
ejpam-3735	419	1	e	e	NOUN
ejpam-3735	419	2	−	−	PUNCT
ejpam-3735	420	1	i	i	PRON
ejpam-3735	420	2	,	,	PUNCT
ejpam-3735	420	3	we	we	PRON
ejpam-3735	420	4	have	have	VERB
ejpam-3735	420	5	b	b	NUM
ejpam-3735	420	6	•	•	NOUN
ejpam-3735	420	7	a	a	DET
ejpam-3735	420	8	,	,	PUNCT
ejpam-3735	420	9	b	b	NOUN
ejpam-3735	420	10	?	?	PUNCT
ejpam-3735	421	1	a	a	DET
ejpam-3735	421	2	∈	∈	PROPN
ejpam-3735	421	3	i.	i.	NOUN
ejpam-3735	421	4	since	since	SCONJ
ejpam-3735	421	5	a	a	DET
ejpam-3735	421	6	∈	∈	NOUN
ejpam-3735	422	1	i	i	PRON
ejpam-3735	422	2	then	then	ADV
ejpam-3735	422	3	b	b	X
ejpam-3735	422	4	∈	∈	PROPN
ejpam-3735	422	5	i	i	PRON
ejpam-3735	422	6	by	by	ADP
ejpam-3735	422	7	(	(	PUNCT
ejpam-3735	422	8	pi2	pi2	PROPN
ejpam-3735	422	9	)	)	PUNCT
ejpam-3735	422	10	.	.	PUNCT
ejpam-3735	423	1	this	this	PRON
ejpam-3735	423	2	contradicts	contradict	VERB
ejpam-3735	423	3	the	the	DET
ejpam-3735	423	4	hypothesis	hypothesis	NOUN
ejpam-3735	423	5	(	(	PUNCT
ejpam-3735	423	6	b	b	X
ejpam-3735	423	7	∈	∈	PROPN
ejpam-3735	423	8	e	e	NOUN
ejpam-3735	423	9	−	−	PROPN
ejpam-3735	423	10	i	i	PROPN
ejpam-3735	423	11	)	)	PUNCT
ejpam-3735	423	12	.	.	PUNCT
ejpam-3735	424	1	hence	hence	ADV
ejpam-3735	424	2	b	b	X
ejpam-3735	424	3	•	•	NOUN
ejpam-3735	424	4	a	a	PRON
ejpam-3735	424	5	,	,	PUNCT
ejpam-3735	424	6	b	b	NOUN
ejpam-3735	424	7	?	?	PUNCT
ejpam-3735	424	8	a	a	DET
ejpam-3735	424	9	∈	∈	PROPN
ejpam-3735	424	10	e	e	NOUN
ejpam-3735	424	11	−	−	PROPN
ejpam-3735	424	12	i.	i.	NOUN
ejpam-3735	424	13	conversely	conversely	ADV
ejpam-3735	424	14	,	,	PUNCT
ejpam-3735	424	15	let	let	VERB
ejpam-3735	424	16	a	a	DET
ejpam-3735	424	17	∈	∈	ADJ
ejpam-3735	425	1	i	i	PRON
ejpam-3735	425	2	and	and	CCONJ
ejpam-3735	425	3	b	b	X
ejpam-3735	425	4	∈	∈	PROPN
ejpam-3735	425	5	e−	e−	X
ejpam-3735	426	1	i	i	PRON
ejpam-3735	426	2	⇒	⇒	VERB
ejpam-3735	426	3	b	b	X
ejpam-3735	426	4	•a	•a	ADJ
ejpam-3735	426	5	,	,	PUNCT
ejpam-3735	426	6	b	b	NOUN
ejpam-3735	426	7	?	?	PUNCT
ejpam-3735	427	1	a	a	DET
ejpam-3735	427	2	∈	∈	NOUN
ejpam-3735	427	3	e−	e−	PROPN
ejpam-3735	427	4	i.	i.	NOUN
ejpam-3735	427	5	since	since	SCONJ
ejpam-3735	427	6	i	i	PRON
ejpam-3735	427	7	is	be	AUX
ejpam-3735	427	8	a	a	DET
ejpam-3735	427	9	pseudo	pseudo	NOUN
ejpam-3735	427	10	-	-	NOUN
ejpam-3735	427	11	subalgebra	subalgebra	NOUN
ejpam-3735	427	12	,	,	PUNCT
ejpam-3735	427	13	we	we	PRON
ejpam-3735	427	14	have	have	VERB
ejpam-3735	427	15	0	0	NUM
ejpam-3735	427	16	∈	∈	NOUN
ejpam-3735	427	17	i	i	PRON
ejpam-3735	427	18	(	(	PUNCT
ejpam-3735	427	19	by	by	ADP
ejpam-3735	427	20	definition	definition	NOUN
ejpam-3735	427	21	7	7	NUM
ejpam-3735	427	22	)	)	PUNCT
ejpam-3735	427	23	.	.	PUNCT
ejpam-3735	428	1	now	now	ADV
ejpam-3735	428	2	,	,	PUNCT
ejpam-3735	428	3	assume	assume	VERB
ejpam-3735	428	4	that	that	SCONJ
ejpam-3735	428	5	a	a	DET
ejpam-3735	428	6	,	,	PUNCT
ejpam-3735	428	7	b	b	X
ejpam-3735	428	8	∈	∈	PROPN
ejpam-3735	428	9	e	e	NOUN
ejpam-3735	428	10	,	,	PUNCT
ejpam-3735	428	11	a	a	DET
ejpam-3735	428	12	∈	∈	NOUN
ejpam-3735	428	13	i	i	PRON
ejpam-3735	428	14	and	and	CCONJ
ejpam-3735	428	15	b	b	X
ejpam-3735	428	16	•	•	NOUN
ejpam-3735	428	17	a	a	PRON
ejpam-3735	428	18	,	,	PUNCT
ejpam-3735	428	19	b	b	NOUN
ejpam-3735	428	20	?	?	PUNCT
ejpam-3735	428	21	a	a	DET
ejpam-3735	428	22	∈	∈	PROPN
ejpam-3735	428	23	i.	i.	NOUN
ejpam-3735	428	24	we	we	PRON
ejpam-3735	428	25	prove	prove	VERB
ejpam-3735	428	26	by	by	ADP
ejpam-3735	428	27	contradiction	contradiction	NOUN
ejpam-3735	428	28	.	.	PUNCT
ejpam-3735	429	1	let	let	VERB
ejpam-3735	429	2	b	b	X
ejpam-3735	429	3	/∈	/∈	PUNCT
ejpam-3735	430	1	i	i	PRON
ejpam-3735	430	2	,	,	PUNCT
ejpam-3735	430	3	i.e.	i.e.	X
ejpam-3735	430	4	b	b	X
ejpam-3735	430	5	∈	∈	ADJ
ejpam-3735	430	6	e	e	X
ejpam-3735	430	7	−	−	PROPN
ejpam-3735	430	8	i.	i.	NOUN
ejpam-3735	431	1	then	then	ADV
ejpam-3735	431	2	b	b	PROPN
ejpam-3735	431	3	•	•	NOUN
ejpam-3735	431	4	a	a	PRON
ejpam-3735	431	5	,	,	PUNCT
ejpam-3735	431	6	b	b	NOUN
ejpam-3735	431	7	?	?	PUNCT
ejpam-3735	432	1	a	a	DET
ejpam-3735	432	2	∈	∈	PROPN
ejpam-3735	432	3	e	e	NOUN
ejpam-3735	432	4	−	−	NOUN
ejpam-3735	432	5	i	i	PRON
ejpam-3735	432	6	by	by	ADP
ejpam-3735	432	7	hypothesis	hypothesis	NOUN
ejpam-3735	432	8	.	.	PUNCT
ejpam-3735	433	1	this	this	PRON
ejpam-3735	433	2	contradicts	contradict	VERB
ejpam-3735	433	3	the	the	DET
ejpam-3735	433	4	hypothesis	hypothesis	NOUN
ejpam-3735	433	5	(	(	PUNCT
ejpam-3735	433	6	b	b	NOUN
ejpam-3735	433	7	•	•	ADP
ejpam-3735	433	8	a	a	PRON
ejpam-3735	433	9	,	,	PUNCT
ejpam-3735	433	10	b	b	NOUN
ejpam-3735	433	11	?	?	PUNCT
ejpam-3735	434	1	a	a	DET
ejpam-3735	434	2	∈	∈	PROPN
ejpam-3735	434	3	i	i	NOUN
ejpam-3735	434	4	)	)	PUNCT
ejpam-3735	434	5	.	.	PUNCT
ejpam-3735	435	1	hence	hence	ADV
ejpam-3735	435	2	b	b	PROPN
ejpam-3735	435	3	∈	∈	PROPN
ejpam-3735	435	4	i.	i.	NOUN
ejpam-3735	435	5	therefore	therefore	ADV
ejpam-3735	435	6	i	i	PRON
ejpam-3735	435	7	is	be	AUX
ejpam-3735	435	8	a	a	DET
ejpam-3735	435	9	pseudo	pseudo	NOUN
ejpam-3735	435	10	-	-	NOUN
ejpam-3735	435	11	ideal	ideal	NOUN
ejpam-3735	435	12	of	of	ADP
ejpam-3735	435	13	e.	e.	PROPN
ejpam-3735	435	14	h.	h.	PROPN
ejpam-3735	435	15	m.	m.	PROPN
ejpam-3735	436	1	al	al	PROPN
ejpam-3735	436	2	-	-	PUNCT
ejpam-3735	436	3	malki	malki	PROPN
ejpam-3735	436	4	,	,	PUNCT
ejpam-3735	436	5	d.	d.	PROPN
ejpam-3735	436	6	s.	s.	PROPN
ejpam-3735	436	7	al	al	PROPN
ejpam-3735	436	8	-	-	PUNCT
ejpam-3735	436	9	kadi	kadi	PROPN
ejpam-3735	436	10	/	/	SYM
ejpam-3735	436	11	eur	eur	PROPN
ejpam-3735	436	12	.	.	PUNCT
ejpam-3735	437	1	j.	j.	PROPN
ejpam-3735	437	2	pure	pure	PROPN
ejpam-3735	437	3	appl	appl	PROPN
ejpam-3735	437	4	.	.	PROPN
ejpam-3735	437	5	math	math	PROPN
ejpam-3735	437	6	,	,	PUNCT
ejpam-3735	437	7	13	13	NUM
ejpam-3735	437	8	(	(	PUNCT
ejpam-3735	437	9	3	3	NUM
ejpam-3735	437	10	)	)	PUNCT
ejpam-3735	437	11	(	(	PUNCT
ejpam-3735	437	12	2020	2020	NUM
ejpam-3735	437	13	)	)	PUNCT
ejpam-3735	437	14	,	,	PUNCT
ejpam-3735	437	15	498	498	NUM
ejpam-3735	437	16	-	-	SYM
ejpam-3735	437	17	512	512	NUM
ejpam-3735	437	18	507	507	NUM
ejpam-3735	437	19	proposition	proposition	NOUN
ejpam-3735	437	20	7	7	NUM
ejpam-3735	437	21	.	.	PUNCT
ejpam-3735	438	1	in	in	ADP
ejpam-3735	438	2	a	a	DET
ejpam-3735	438	3	pseudo	pseudo	NOUN
ejpam-3735	438	4	-	-	NOUN
ejpam-3735	438	5	bf	bf	NOUN
ejpam-3735	438	6	-algebra	-algebra	NOUN
ejpam-3735	438	7	(	(	PUNCT
ejpam-3735	438	8	e	e	NOUN
ejpam-3735	438	9	;	;	PUNCT
ejpam-3735	438	10	•	•	NUM
ejpam-3735	438	11	,	,	PUNCT
ejpam-3735	438	12	?	?	PUNCT
ejpam-3735	438	13	,	,	PUNCT
ejpam-3735	438	14	0	0	NUM
ejpam-3735	438	15	)	)	PUNCT
ejpam-3735	438	16	,	,	PUNCT
ejpam-3735	438	17	let	let	VERB
ejpam-3735	438	18	i	i	PRON
ejpam-3735	438	19	be	be	AUX
ejpam-3735	438	20	a	a	DET
ejpam-3735	438	21	pseudo	pseudo	NOUN
ejpam-3735	438	22	-	-	NOUN
ejpam-3735	438	23	ideal	ideal	ADJ
ejpam-3735	438	24	.	.	PUNCT
ejpam-3735	439	1	if	if	SCONJ
ejpam-3735	439	2	j	j	PROPN
ejpam-3735	439	3	is	be	AUX
ejpam-3735	439	4	a	a	DET
ejpam-3735	439	5	pseudo	pseudo	NOUN
ejpam-3735	439	6	-	-	NOUN
ejpam-3735	439	7	ideal	ideal	NOUN
ejpam-3735	439	8	of	of	ADP
ejpam-3735	439	9	i	i	PRON
ejpam-3735	439	10	,	,	PUNCT
ejpam-3735	439	11	then	then	ADV
ejpam-3735	439	12	j	j	PROPN
ejpam-3735	439	13	is	be	AUX
ejpam-3735	439	14	a	a	DET
ejpam-3735	439	15	pseudo	pseudo	NOUN
ejpam-3735	439	16	-	-	NOUN
ejpam-3735	439	17	ideal	ideal	NOUN
ejpam-3735	439	18	of	of	ADP
ejpam-3735	439	19	e	e	NOUN
ejpam-3735	439	20	as	as	ADV
ejpam-3735	439	21	well	well	ADV
ejpam-3735	439	22	.	.	PUNCT
ejpam-3735	440	1	proof	proof	NOUN
ejpam-3735	440	2	.	.	PUNCT
ejpam-3735	441	1	assume	assume	VERB
ejpam-3735	441	2	that	that	SCONJ
ejpam-3735	441	3	j	j	PROPN
ejpam-3735	441	4	is	be	AUX
ejpam-3735	441	5	a	a	DET
ejpam-3735	441	6	pseudo	pseudo	NOUN
ejpam-3735	441	7	-	-	NOUN
ejpam-3735	441	8	ideal	ideal	NOUN
ejpam-3735	441	9	of	of	ADP
ejpam-3735	441	10	i	i	PRON
ejpam-3735	441	11	,	,	PUNCT
ejpam-3735	441	12	then	then	ADV
ejpam-3735	441	13	0	0	NUM
ejpam-3735	441	14	∈	∈	PROPN
ejpam-3735	441	15	j	j	PROPN
ejpam-3735	441	16	.	.	PUNCT
ejpam-3735	442	1	let	let	VERB
ejpam-3735	442	2	b	b	X
ejpam-3735	442	3	∈	∈	PROPN
ejpam-3735	442	4	j	j	PROPN
ejpam-3735	442	5	and	and	CCONJ
ejpam-3735	442	6	a	a	DET
ejpam-3735	442	7	•	•	NOUN
ejpam-3735	442	8	b	b	NOUN
ejpam-3735	442	9	,	,	PUNCT
ejpam-3735	442	10	a	a	PRON
ejpam-3735	442	11	?	?	PUNCT
ejpam-3735	443	1	b	b	X
ejpam-3735	443	2	∈	∈	PROPN
ejpam-3735	443	3	j	j	PROPN
ejpam-3735	443	4	for	for	ADP
ejpam-3735	443	5	any	any	DET
ejpam-3735	443	6	a	a	DET
ejpam-3735	443	7	∈	∈	PROPN
ejpam-3735	443	8	e.	e.	NOUN
ejpam-3735	444	1	if	if	SCONJ
ejpam-3735	444	2	a	a	DET
ejpam-3735	444	3	∈	∈	PROPN
ejpam-3735	444	4	i	i	PRON
ejpam-3735	444	5	,	,	PUNCT
ejpam-3735	444	6	then	then	ADV
ejpam-3735	444	7	a	a	DET
ejpam-3735	444	8	∈	∈	PROPN
ejpam-3735	444	9	j	j	PROPN
ejpam-3735	444	10	since	since	SCONJ
ejpam-3735	444	11	j	j	PROPN
ejpam-3735	444	12	is	be	AUX
ejpam-3735	444	13	a	a	DET
ejpam-3735	444	14	pseudo	pseudo	NOUN
ejpam-3735	444	15	-	-	NOUN
ejpam-3735	444	16	ideal	ideal	NOUN
ejpam-3735	444	17	of	of	ADP
ejpam-3735	444	18	i.	i.	NOUN
ejpam-3735	444	19	if	if	SCONJ
ejpam-3735	444	20	a	a	PRON
ejpam-3735	444	21	/∈	/∈	INTJ
ejpam-3735	445	1	i	i	PRON
ejpam-3735	445	2	,	,	PUNCT
ejpam-3735	445	3	i.e.	i.e.	X
ejpam-3735	445	4	a	a	DET
ejpam-3735	445	5	∈	∈	NOUN
ejpam-3735	445	6	e	e	NOUN
ejpam-3735	445	7	−	−	NOUN
ejpam-3735	446	1	i	i	PRON
ejpam-3735	446	2	,	,	PUNCT
ejpam-3735	446	3	then	then	ADV
ejpam-3735	446	4	b	b	X
ejpam-3735	446	5	,	,	PUNCT
ejpam-3735	446	6	a	a	DET
ejpam-3735	446	7	•	•	NOUN
ejpam-3735	446	8	b	b	NOUN
ejpam-3735	446	9	,	,	PUNCT
ejpam-3735	446	10	a	a	PRON
ejpam-3735	446	11	?	?	PUNCT
ejpam-3735	446	12	b	b	X
ejpam-3735	446	13	∈	∈	PROPN
ejpam-3735	446	14	j	j	NOUN
ejpam-3735	446	15	⊆	⊆	NUM
ejpam-3735	446	16	i	i	PROPN
ejpam-3735	446	17	and	and	CCONJ
ejpam-3735	446	18	so	so	ADV
ejpam-3735	446	19	a	a	DET
ejpam-3735	446	20	∈	∈	PROPN
ejpam-3735	446	21	i.	i.	NOUN
ejpam-3735	446	22	hence	hence	ADV
ejpam-3735	446	23	a	a	DET
ejpam-3735	446	24	∈	∈	PROPN
ejpam-3735	446	25	j	j	NOUN
ejpam-3735	446	26	.	.	PUNCT
ejpam-3735	447	1	thus	thus	ADV
ejpam-3735	447	2	j	j	PROPN
ejpam-3735	447	3	is	be	AUX
ejpam-3735	447	4	a	a	DET
ejpam-3735	447	5	pseudo	pseudo	NOUN
ejpam-3735	447	6	-	-	NOUN
ejpam-3735	447	7	ideal	ideal	ADJ
ejpam-3735	447	8	.	.	PUNCT
ejpam-3735	448	1	proposition	proposition	NOUN
ejpam-3735	448	2	8	8	NUM
ejpam-3735	448	3	.	.	PUNCT
ejpam-3735	449	1	in	in	ADP
ejpam-3735	449	2	a	a	DET
ejpam-3735	449	3	pseudo	pseudo	NOUN
ejpam-3735	449	4	-	-	NOUN
ejpam-3735	449	5	bf	bf	NOUN
ejpam-3735	449	6	-algebra	-algebra	NOUN
ejpam-3735	449	7	(	(	PUNCT
ejpam-3735	449	8	e	e	NOUN
ejpam-3735	449	9	;	;	PUNCT
ejpam-3735	449	10	•	•	NUM
ejpam-3735	449	11	,	,	PUNCT
ejpam-3735	449	12	?	?	PUNCT
ejpam-3735	449	13	,	,	PUNCT
ejpam-3735	449	14	0	0	NUM
ejpam-3735	449	15	)	)	PUNCT
ejpam-3735	449	16	,	,	PUNCT
ejpam-3735	449	17	let	let	VERB
ejpam-3735	449	18	i	i	PRON
ejpam-3735	449	19	be	be	AUX
ejpam-3735	449	20	a	a	DET
ejpam-3735	449	21	pseudo	pseudo	NOUN
ejpam-3735	449	22	-	-	NOUN
ejpam-3735	449	23	ideal	ideal	NOUN
ejpam-3735	449	24	.	.	PUNCT
ejpam-3735	450	1	then	then	ADV
ejpam-3735	450	2	∀a	∀a	VERB
ejpam-3735	450	3	∈	∈	PROPN
ejpam-3735	450	4	e	e	NOUN
ejpam-3735	450	5	,	,	PUNCT
ejpam-3735	450	6	a	a	DET
ejpam-3735	450	7	∈	∈	NOUN
ejpam-3735	451	1	i	i	PRON
ejpam-3735	451	2	we	we	PRON
ejpam-3735	451	3	have	have	VERB
ejpam-3735	451	4	0	0	NUM
ejpam-3735	451	5	•	•	NOUN
ejpam-3735	451	6	(	(	PUNCT
ejpam-3735	451	7	0	0	NUM
ejpam-3735	451	8	?	?	PUNCT
ejpam-3735	452	1	a	a	X
ejpam-3735	452	2	)	)	PUNCT
ejpam-3735	452	3	,	,	PUNCT
ejpam-3735	452	4	0	0	NUM
ejpam-3735	452	5	?	?	PUNCT
ejpam-3735	453	1	(	(	PUNCT
ejpam-3735	453	2	0	0	NUM
ejpam-3735	453	3	•	•	NUM
ejpam-3735	453	4	a	a	PRON
ejpam-3735	453	5	)	)	PUNCT
ejpam-3735	453	6	∈	∈	PROPN
ejpam-3735	453	7	i.	i.	NOUN
ejpam-3735	453	8	proof	proof	NOUN
ejpam-3735	453	9	.	.	PUNCT
ejpam-3735	454	1	let	let	VERB
ejpam-3735	454	2	a	a	DET
ejpam-3735	454	3	∈	∈	ADJ
ejpam-3735	455	1	i	i	PRON
ejpam-3735	455	2	and	and	CCONJ
ejpam-3735	455	3	0	0	NUM
ejpam-3735	455	4	?	?	PUNCT
ejpam-3735	456	1	a	a	DET
ejpam-3735	456	2	,	,	PUNCT
ejpam-3735	456	3	0	0	NUM
ejpam-3735	456	4	•	•	NOUN
ejpam-3735	456	5	a	a	DET
ejpam-3735	456	6	∈	∈	NOUN
ejpam-3735	457	1	i	i	PRON
ejpam-3735	457	2	,	,	PUNCT
ejpam-3735	457	3	then	then	ADV
ejpam-3735	457	4	0	0	NUM
ejpam-3735	457	5	∈	∈	PROPN
ejpam-3735	457	6	i	i	PRON
ejpam-3735	457	7	from	from	ADP
ejpam-3735	457	8	(	(	PUNCT
ejpam-3735	457	9	pi1	pi1	NOUN
ejpam-3735	457	10	)	)	PUNCT
ejpam-3735	457	11	and	and	CCONJ
ejpam-3735	457	12	(	(	PUNCT
ejpam-3735	457	13	pi2	pi2	PROPN
ejpam-3735	457	14	)	)	PUNCT
ejpam-3735	457	15	.	.	PUNCT
ejpam-3735	458	1	since	since	SCONJ
ejpam-3735	458	2	a	a	DET
ejpam-3735	458	3	∈	∈	NOUN
ejpam-3735	458	4	i	i	PRON
ejpam-3735	458	5	and	and	CCONJ
ejpam-3735	458	6	0	0	NUM
ejpam-3735	458	7	∈	∈	PROPN
ejpam-3735	459	1	i	i	PRON
ejpam-3735	459	2	,	,	PUNCT
ejpam-3735	459	3	by	by	ADP
ejpam-3735	459	4	using	use	VERB
ejpam-3735	459	5	(	(	PUNCT
ejpam-3735	459	6	pbf	pbf	NOUN
ejpam-3735	459	7	(	(	PUNCT
ejpam-3735	459	8	1	1	NUM
ejpam-3735	459	9	)	)	PUNCT
ejpam-3735	459	10	)	)	PUNCT
ejpam-3735	459	11	we	we	PRON
ejpam-3735	459	12	have	have	VERB
ejpam-3735	459	13	0	0	NUM
ejpam-3735	459	14	=	=	SYM
ejpam-3735	459	15	a	a	PRON
ejpam-3735	459	16	?	?	PUNCT
ejpam-3735	460	1	a	a	PRON
ejpam-3735	460	2	,	,	PUNCT
ejpam-3735	460	3	0	0	NUM
ejpam-3735	460	4	=	=	SYM
ejpam-3735	460	5	a	a	DET
ejpam-3735	460	6	•	•	NOUN
ejpam-3735	460	7	a	a	DET
ejpam-3735	460	8	∈	∈	PROPN
ejpam-3735	460	9	i.	i.	NOUN
ejpam-3735	460	10	(	(	PUNCT
ejpam-3735	460	11	by	by	ADP
ejpam-3735	460	12	proposition	proposition	NOUN
ejpam-3735	460	13	2	2	NUM
ejpam-3735	460	14	(	(	PUNCT
ejpam-3735	460	15	2	2	NUM
ejpam-3735	460	16	)	)	PUNCT
ejpam-3735	460	17	)	)	PUNCT
ejpam-3735	461	1	we	we	PRON
ejpam-3735	461	2	obtain	obtain	VERB
ejpam-3735	461	3	a	a	PRON
ejpam-3735	461	4	?	?	PUNCT
ejpam-3735	462	1	a	a	PRON
ejpam-3735	462	2	=	=	X
ejpam-3735	463	1	[	[	X
ejpam-3735	463	2	0	0	NUM
ejpam-3735	463	3	•	•	NOUN
ejpam-3735	463	4	(	(	PUNCT
ejpam-3735	463	5	0	0	NUM
ejpam-3735	463	6	?	?	PUNCT
ejpam-3735	464	1	a	a	X
ejpam-3735	464	2	)	)	PUNCT
ejpam-3735	464	3	]	]	PUNCT
ejpam-3735	464	4	?	?	PUNCT
ejpam-3735	465	1	a	a	PRON
ejpam-3735	465	2	,	,	PUNCT
ejpam-3735	465	3	a	a	DET
ejpam-3735	465	4	•	•	NOUN
ejpam-3735	465	5	a	a	PRON
ejpam-3735	465	6	=	=	PUNCT
ejpam-3735	466	1	[	[	X
ejpam-3735	466	2	0	0	NUM
ejpam-3735	466	3	?	?	PUNCT
ejpam-3735	467	1	(	(	PUNCT
ejpam-3735	467	2	0	0	NUM
ejpam-3735	467	3	•	•	NOUN
ejpam-3735	467	4	a	a	NOUN
ejpam-3735	467	5	)	)	PUNCT
ejpam-3735	467	6	]	]	PUNCT
ejpam-3735	467	7	•	•	ADP
ejpam-3735	467	8	a	a	DET
ejpam-3735	467	9	∈	∈	PROPN
ejpam-3735	467	10	i.	i.	NOUN
ejpam-3735	467	11	thus	thus	ADV
ejpam-3735	467	12	0	0	NUM
ejpam-3735	467	13	•	•	NOUN
ejpam-3735	467	14	(	(	PUNCT
ejpam-3735	467	15	0	0	NUM
ejpam-3735	467	16	?	?	PUNCT
ejpam-3735	468	1	a	a	X
ejpam-3735	468	2	)	)	PUNCT
ejpam-3735	468	3	,	,	PUNCT
ejpam-3735	468	4	0	0	NUM
ejpam-3735	468	5	?	?	PUNCT
ejpam-3735	469	1	(	(	PUNCT
ejpam-3735	469	2	0	0	NUM
ejpam-3735	469	3	•	•	NUM
ejpam-3735	469	4	a	a	PRON
ejpam-3735	469	5	)	)	PUNCT
ejpam-3735	469	6	∈	∈	PROPN
ejpam-3735	469	7	i	i	PRON
ejpam-3735	469	8	from	from	ADP
ejpam-3735	469	9	(	(	PUNCT
ejpam-3735	469	10	pi2	pi2	PROPN
ejpam-3735	469	11	)	)	PUNCT
ejpam-3735	469	12	.	.	PUNCT
ejpam-3735	470	1	4	4	X
ejpam-3735	470	2	.	.	X
ejpam-3735	470	3	pseudo	pseudo	NOUN
ejpam-3735	470	4	-	-	NOUN
ejpam-3735	470	5	atoms	atom	NOUN
ejpam-3735	470	6	of	of	ADP
ejpam-3735	470	7	pseudo	pseudo	NOUN
ejpam-3735	470	8	-	-	PUNCT
ejpam-3735	470	9	bf	bf	NOUN
ejpam-3735	470	10	/	/	SYM
ejpam-3735	470	11	bf	bf	NOUN
ejpam-3735	470	12	∗-algebra	∗-algebra	NOUN
ejpam-3735	470	13	in	in	ADP
ejpam-3735	470	14	this	this	DET
ejpam-3735	470	15	section	section	NOUN
ejpam-3735	470	16	we	we	PRON
ejpam-3735	470	17	introduce	introduce	VERB
ejpam-3735	470	18	pseudo	pseudo	NOUN
ejpam-3735	470	19	-	-	NOUN
ejpam-3735	470	20	atoms	atom	NOUN
ejpam-3735	470	21	of	of	ADP
ejpam-3735	470	22	pseudo	pseudo	NOUN
ejpam-3735	470	23	-	-	PUNCT
ejpam-3735	470	24	bf	bf	NOUN
ejpam-3735	470	25	/	/	SYM
ejpam-3735	470	26	bf	bf	NOUN
ejpam-3735	470	27	∗-algebra	∗-algebra	NOUN
ejpam-3735	470	28	and	and	CCONJ
ejpam-3735	470	29	prove	prove	VERB
ejpam-3735	470	30	related	related	ADJ
ejpam-3735	470	31	properties	property	NOUN
ejpam-3735	470	32	.	.	PUNCT
ejpam-3735	471	1	we	we	PRON
ejpam-3735	471	2	start	start	VERB
ejpam-3735	471	3	with	with	ADP
ejpam-3735	471	4	the	the	DET
ejpam-3735	471	5	following	follow	VERB
ejpam-3735	471	6	definition	definition	NOUN
ejpam-3735	471	7	.	.	PUNCT
ejpam-3735	472	1	definition	definition	NOUN
ejpam-3735	472	2	10	10	NUM
ejpam-3735	472	3	.	.	PUNCT
ejpam-3735	473	1	in	in	ADP
ejpam-3735	473	2	a	a	DET
ejpam-3735	473	3	pseudo	pseudo	NOUN
ejpam-3735	473	4	-	-	NOUN
ejpam-3735	473	5	bf	bf	NOUN
ejpam-3735	473	6	-algebra	-algebra	NOUN
ejpam-3735	473	7	(	(	PUNCT
ejpam-3735	473	8	e	e	NOUN
ejpam-3735	473	9	;	;	PUNCT
ejpam-3735	473	10	•	•	NUM
ejpam-3735	473	11	,	,	PUNCT
ejpam-3735	473	12	?	?	PUNCT
ejpam-3735	473	13	,	,	PUNCT
ejpam-3735	473	14	0	0	NUM
ejpam-3735	473	15	)	)	PUNCT
ejpam-3735	473	16	,	,	PUNCT
ejpam-3735	473	17	let	let	VERB
ejpam-3735	473	18	τ	τ	PRON
ejpam-3735	473	19	be	be	AUX
ejpam-3735	473	20	an	an	DET
ejpam-3735	473	21	element	element	NOUN
ejpam-3735	473	22	in	in	ADP
ejpam-3735	473	23	e.	e.	PROPN
ejpam-3735	473	24	if	if	SCONJ
ejpam-3735	473	25	a	a	DET
ejpam-3735	473	26	≤	≤	NUM
ejpam-3735	473	27	τ	τ	PROPN
ejpam-3735	473	28	implies	imply	VERB
ejpam-3735	473	29	a	a	PRON
ejpam-3735	473	30	=	=	SYM
ejpam-3735	473	31	τ	τ	X
ejpam-3735	473	32	∀a	∀a	NOUN
ejpam-3735	473	33	∈	∈	NOUN
ejpam-3735	473	34	e	e	NOUN
ejpam-3735	473	35	then	then	ADV
ejpam-3735	473	36	we	we	PRON
ejpam-3735	473	37	call	call	VERB
ejpam-3735	473	38	τ	τ	PROPN
ejpam-3735	473	39	a	a	DET
ejpam-3735	473	40	pseudo	pseudo	NOUN
ejpam-3735	473	41	-	-	NOUN
ejpam-3735	473	42	atom	atom	NOUN
ejpam-3735	473	43	of	of	ADP
ejpam-3735	473	44	e	e	PROPN
ejpam-3735	473	45	and	and	CCONJ
ejpam-3735	473	46	the	the	DET
ejpam-3735	473	47	collection	collection	NOUN
ejpam-3735	473	48	of	of	ADP
ejpam-3735	473	49	all	all	DET
ejpam-3735	473	50	pseudo	pseudo	NOUN
ejpam-3735	473	51	-	-	NOUN
ejpam-3735	473	52	atoms	atom	NOUN
ejpam-3735	473	53	of	of	ADP
ejpam-3735	473	54	e	e	NOUN
ejpam-3735	473	55	is	be	AUX
ejpam-3735	473	56	called	call	VERB
ejpam-3735	473	57	the	the	DET
ejpam-3735	473	58	center	center	NOUN
ejpam-3735	473	59	of	of	ADP
ejpam-3735	473	60	e	e	PROPN
ejpam-3735	473	61	and	and	CCONJ
ejpam-3735	473	62	denoted	denote	VERB
ejpam-3735	473	63	by	by	ADP
ejpam-3735	473	64	lp(e	lp(e	NOUN
ejpam-3735	473	65	)	)	PUNCT
ejpam-3735	473	66	.	.	PUNCT
ejpam-3735	474	1	theorem	theorem	ADJ
ejpam-3735	474	2	8	8	NUM
ejpam-3735	474	3	.	.	PUNCT
ejpam-3735	475	1	in	in	ADP
ejpam-3735	475	2	a	a	DET
ejpam-3735	475	3	pseudo	pseudo	NOUN
ejpam-3735	475	4	-	-	NOUN
ejpam-3735	475	5	bf	bf	NOUN
ejpam-3735	475	6	∗-algebra	∗-algebra	NOUN
ejpam-3735	475	7	(	(	PUNCT
ejpam-3735	475	8	e	e	NOUN
ejpam-3735	475	9	;	;	PUNCT
ejpam-3735	475	10	•	•	NUM
ejpam-3735	475	11	,	,	PUNCT
ejpam-3735	475	12	?	?	PUNCT
ejpam-3735	475	13	,	,	PUNCT
ejpam-3735	475	14	0	0	X
ejpam-3735	475	15	)	)	PUNCT
ejpam-3735	475	16	the	the	DET
ejpam-3735	475	17	following	follow	VERB
ejpam-3735	475	18	are	be	AUX
ejpam-3735	475	19	equivalent	equivalent	ADJ
ejpam-3735	475	20	for	for	ADP
ejpam-3735	475	21	all	all	DET
ejpam-3735	475	22	a	a	DET
ejpam-3735	475	23	,	,	PUNCT
ejpam-3735	475	24	b	b	NOUN
ejpam-3735	475	25	,	,	PUNCT
ejpam-3735	475	26	c	c	NOUN
ejpam-3735	475	27	,	,	PUNCT
ejpam-3735	475	28	d	d	PROPN
ejpam-3735	475	29	,	,	PUNCT
ejpam-3735	476	1	τ	τ	PROPN
ejpam-3735	476	2	∈	∈	PROPN
ejpam-3735	476	3	e	e	NOUN
ejpam-3735	476	4	:	:	PUNCT
ejpam-3735	476	5	(	(	PUNCT
ejpam-3735	476	6	1	1	X
ejpam-3735	476	7	)	)	PUNCT
ejpam-3735	476	8	there	there	PRON
ejpam-3735	476	9	exists	exist	VERB
ejpam-3735	476	10	a	a	DET
ejpam-3735	476	11	pseudo	pseudo	NOUN
ejpam-3735	476	12	-	-	NOUN
ejpam-3735	476	13	atom	atom	NOUN
ejpam-3735	476	14	τ	τ	NOUN
ejpam-3735	476	15	,	,	PUNCT
ejpam-3735	476	16	(	(	PUNCT
ejpam-3735	476	17	2	2	X
ejpam-3735	476	18	)	)	PUNCT
ejpam-3735	476	19	τ	τ	X
ejpam-3735	477	1	=	=	PUNCT
ejpam-3735	477	2	a	a	PRON
ejpam-3735	477	3	?	?	PUNCT
ejpam-3735	478	1	(	(	PUNCT
ejpam-3735	478	2	a	a	DET
ejpam-3735	478	3	•	•	NOUN
ejpam-3735	478	4	τ	τ	NOUN
ejpam-3735	478	5	)	)	PUNCT
ejpam-3735	478	6	and	and	CCONJ
ejpam-3735	478	7	τ	τ	PROPN
ejpam-3735	478	8	=	=	PUNCT
ejpam-3735	478	9	a	a	PRON
ejpam-3735	478	10	•	•	NOUN
ejpam-3735	478	11	(	(	PUNCT
ejpam-3735	478	12	a	a	PRON
ejpam-3735	478	13	?	?	PUNCT
ejpam-3735	478	14	τ	τ	X
ejpam-3735	478	15	)	)	PUNCT
ejpam-3735	478	16	;	;	PUNCT
ejpam-3735	478	17	(	(	PUNCT
ejpam-3735	478	18	3	3	X
ejpam-3735	478	19	)	)	PUNCT
ejpam-3735	478	20	(	(	PUNCT
ejpam-3735	478	21	a	a	DET
ejpam-3735	478	22	•	•	NUM
ejpam-3735	478	23	b	b	NOUN
ejpam-3735	478	24	)	)	PUNCT
ejpam-3735	478	25	?	?	PUNCT
ejpam-3735	479	1	(	(	PUNCT
ejpam-3735	479	2	a	a	DET
ejpam-3735	479	3	•	•	NOUN
ejpam-3735	479	4	τ	τ	NOUN
ejpam-3735	479	5	)	)	PUNCT
ejpam-3735	479	6	=	=	PUNCT
ejpam-3735	480	1	τ	τ	PROPN
ejpam-3735	480	2	•	•	NUM
ejpam-3735	480	3	b	b	PROPN
ejpam-3735	480	4	and	and	CCONJ
ejpam-3735	480	5	(	(	PUNCT
ejpam-3735	480	6	a	a	PRON
ejpam-3735	480	7	?	?	NOUN
ejpam-3735	481	1	b	b	X
ejpam-3735	481	2	)	)	PUNCT
ejpam-3735	481	3	•	•	NOUN
ejpam-3735	481	4	(	(	PUNCT
ejpam-3735	481	5	a	a	PRON
ejpam-3735	481	6	?	?	PUNCT
ejpam-3735	481	7	τ	τ	X
ejpam-3735	481	8	)	)	PUNCT
ejpam-3735	482	1	=	=	PUNCT
ejpam-3735	482	2	τ	τ	X
ejpam-3735	482	3	?	?	PUNCT
ejpam-3735	483	1	b	b	X
ejpam-3735	483	2	;	;	PUNCT
ejpam-3735	483	3	(	(	PUNCT
ejpam-3735	483	4	4	4	X
ejpam-3735	483	5	)	)	PUNCT
ejpam-3735	483	6	τ	τ	X
ejpam-3735	483	7	•	•	NOUN
ejpam-3735	483	8	(	(	PUNCT
ejpam-3735	483	9	a	a	PRON
ejpam-3735	483	10	?	?	PUNCT
ejpam-3735	484	1	b	b	X
ejpam-3735	484	2	)	)	PUNCT
ejpam-3735	484	3	=	=	SYM
ejpam-3735	484	4	b	b	X
ejpam-3735	484	5	?	?	PUNCT
ejpam-3735	485	1	(	(	PUNCT
ejpam-3735	485	2	a	a	DET
ejpam-3735	485	3	•	•	NOUN
ejpam-3735	485	4	τ	τ	NOUN
ejpam-3735	485	5	)	)	PUNCT
ejpam-3735	485	6	and	and	CCONJ
ejpam-3735	485	7	τ	τ	PROPN
ejpam-3735	485	8	?	?	PUNCT
ejpam-3735	486	1	(	(	PUNCT
ejpam-3735	486	2	a	a	DET
ejpam-3735	486	3	•	•	NUM
ejpam-3735	486	4	b	b	NOUN
ejpam-3735	486	5	)	)	PUNCT
ejpam-3735	486	6	=	=	SYM
ejpam-3735	486	7	b	b	NOUN
ejpam-3735	486	8	•	•	NOUN
ejpam-3735	486	9	(	(	PUNCT
ejpam-3735	486	10	a	a	PRON
ejpam-3735	486	11	?	?	PUNCT
ejpam-3735	486	12	τ	τ	X
ejpam-3735	486	13	)	)	PUNCT
ejpam-3735	486	14	,	,	PUNCT
ejpam-3735	486	15	(	(	PUNCT
ejpam-3735	486	16	5	5	NUM
ejpam-3735	486	17	)	)	PUNCT
ejpam-3735	486	18	0	0	NUM
ejpam-3735	486	19	?	?	PUNCT
ejpam-3735	487	1	(	(	PUNCT
ejpam-3735	487	2	b	b	X
ejpam-3735	487	3	•	•	NUM
ejpam-3735	487	4	τ	τ	PROPN
ejpam-3735	487	5	)	)	PUNCT
ejpam-3735	487	6	=	=	PUNCT
ejpam-3735	488	1	τ	τ	PROPN
ejpam-3735	488	2	•	•	NUM
ejpam-3735	488	3	b	b	PROPN
ejpam-3735	488	4	and	and	CCONJ
ejpam-3735	488	5	0	0	NUM
ejpam-3735	488	6	•	•	NOUN
ejpam-3735	488	7	(	(	PUNCT
ejpam-3735	488	8	b	b	X
ejpam-3735	488	9	?	?	PUNCT
ejpam-3735	488	10	τ	τ	X
ejpam-3735	488	11	)	)	PUNCT
ejpam-3735	489	1	=	=	SYM
ejpam-3735	489	2	τ	τ	X
ejpam-3735	489	3	?	?	PUNCT
ejpam-3735	490	1	b	b	X
ejpam-3735	490	2	,	,	PUNCT
ejpam-3735	490	3	(	(	PUNCT
ejpam-3735	490	4	6	6	NUM
ejpam-3735	490	5	)	)	PUNCT
ejpam-3735	490	6	0	0	NUM
ejpam-3735	490	7	?	?	PUNCT
ejpam-3735	491	1	(	(	PUNCT
ejpam-3735	491	2	0	0	NUM
ejpam-3735	491	3	•	•	NUM
ejpam-3735	491	4	τ	τ	PROPN
ejpam-3735	491	5	)	)	PUNCT
ejpam-3735	491	6	=	=	SYM
ejpam-3735	491	7	τ	τ	PROPN
ejpam-3735	491	8	and	and	CCONJ
ejpam-3735	491	9	0	0	NUM
ejpam-3735	491	10	•	•	NOUN
ejpam-3735	491	11	(	(	PUNCT
ejpam-3735	491	12	0	0	NUM
ejpam-3735	491	13	?	?	PUNCT
ejpam-3735	492	1	τ	τ	X
ejpam-3735	492	2	)	)	PUNCT
ejpam-3735	492	3	=	=	SYM
ejpam-3735	492	4	τ	τ	PROPN
ejpam-3735	492	5	,	,	PUNCT
ejpam-3735	492	6	(	(	PUNCT
ejpam-3735	492	7	7	7	NUM
ejpam-3735	492	8	)	)	PUNCT
ejpam-3735	492	9	0	0	NUM
ejpam-3735	492	10	?	?	PUNCT
ejpam-3735	493	1	(	(	PUNCT
ejpam-3735	493	2	0	0	NUM
ejpam-3735	493	3	•	•	NOUN
ejpam-3735	493	4	(	(	PUNCT
ejpam-3735	493	5	τ	τ	X
ejpam-3735	493	6	?	?	PUNCT
ejpam-3735	493	7	c	c	X
ejpam-3735	493	8	)	)	PUNCT
ejpam-3735	493	9	)	)	PUNCT
ejpam-3735	494	1	=	=	PUNCT
ejpam-3735	494	2	τ	τ	PROPN
ejpam-3735	494	3	?	?	PUNCT
ejpam-3735	495	1	c	c	NOUN
ejpam-3735	495	2	and	and	CCONJ
ejpam-3735	495	3	0	0	NUM
ejpam-3735	495	4	•	•	NOUN
ejpam-3735	495	5	(	(	PUNCT
ejpam-3735	495	6	0	0	NUM
ejpam-3735	495	7	?	?	PUNCT
ejpam-3735	496	1	(	(	PUNCT
ejpam-3735	496	2	τ	τ	X
ejpam-3735	496	3	•	•	NUM
ejpam-3735	496	4	c	c	NOUN
ejpam-3735	496	5	)	)	PUNCT
ejpam-3735	496	6	=	=	PUNCT
ejpam-3735	497	1	τ	τ	PROPN
ejpam-3735	497	2	•	•	NUM
ejpam-3735	497	3	c	c	X
ejpam-3735	497	4	,	,	PUNCT
ejpam-3735	497	5	(	(	PUNCT
ejpam-3735	497	6	8)	8)	NUM
ejpam-3735	497	7	c	c	NOUN
ejpam-3735	497	8	?	?	PUNCT
ejpam-3735	498	1	(	(	PUNCT
ejpam-3735	498	2	c	c	NOUN
ejpam-3735	498	3	•	•	VERB
ejpam-3735	498	4	(	(	PUNCT
ejpam-3735	498	5	τ	τ	X
ejpam-3735	498	6	?	?	PUNCT
ejpam-3735	499	1	d	d	X
ejpam-3735	499	2	)	)	PUNCT
ejpam-3735	499	3	)	)	PUNCT
ejpam-3735	500	1	=	=	PUNCT
ejpam-3735	500	2	τ	τ	X
ejpam-3735	500	3	?	?	PUNCT
ejpam-3735	501	1	d	d	NOUN
ejpam-3735	501	2	and	and	CCONJ
ejpam-3735	501	3	c	c	NOUN
ejpam-3735	501	4	•	•	VERB
ejpam-3735	501	5	(	(	PUNCT
ejpam-3735	501	6	c	c	NOUN
ejpam-3735	501	7	?	?	PUNCT
ejpam-3735	502	1	(	(	PUNCT
ejpam-3735	502	2	τ	τ	PROPN
ejpam-3735	502	3	•	•	NUM
ejpam-3735	502	4	d	d	NOUN
ejpam-3735	502	5	)	)	PUNCT
ejpam-3735	502	6	)	)	PUNCT
ejpam-3735	503	1	=	=	PUNCT
ejpam-3735	503	2	τ	τ	PROPN
ejpam-3735	503	3	•	•	NUM
ejpam-3735	503	4	d.	d.	PROPN
ejpam-3735	503	5	proof	proof	NOUN
ejpam-3735	503	6	.	.	PUNCT
ejpam-3735	504	1	(	(	PUNCT
ejpam-3735	504	2	1	1	X
ejpam-3735	504	3	)	)	PUNCT
ejpam-3735	504	4	⇒	⇒	NOUN
ejpam-3735	504	5	(	(	PUNCT
ejpam-3735	504	6	2	2	NUM
ejpam-3735	504	7	)	)	PUNCT
ejpam-3735	504	8	.	.	PUNCT
ejpam-3735	505	1	assume	assume	VERB
ejpam-3735	505	2	that	that	SCONJ
ejpam-3735	505	3	τ	τ	PROPN
ejpam-3735	505	4	is	be	AUX
ejpam-3735	505	5	a	a	DET
ejpam-3735	505	6	pseudo	pseudo	NOUN
ejpam-3735	505	7	-	-	NOUN
ejpam-3735	505	8	atom	atom	NOUN
ejpam-3735	505	9	of	of	ADP
ejpam-3735	505	10	e.	e.	PROPN
ejpam-3735	505	11	as	as	ADP
ejpam-3735	505	12	a	a	PRON
ejpam-3735	505	13	?	?	PUNCT
ejpam-3735	506	1	(	(	PUNCT
ejpam-3735	506	2	a	a	DET
ejpam-3735	506	3	•	•	NUM
ejpam-3735	506	4	τ	τ	NOUN
ejpam-3735	506	5	)	)	PUNCT
ejpam-3735	506	6	≤	≤	NOUN
ejpam-3735	506	7	τ	τ	PROPN
ejpam-3735	506	8	and	and	CCONJ
ejpam-3735	506	9	a	a	DET
ejpam-3735	506	10	•	•	NOUN
ejpam-3735	506	11	(	(	PUNCT
ejpam-3735	506	12	a	a	PRON
ejpam-3735	506	13	?	?	PUNCT
ejpam-3735	506	14	τ	τ	NOUN
ejpam-3735	506	15	)	)	PUNCT
ejpam-3735	506	16	≤	≤	NOUN
ejpam-3735	506	17	τ	τ	X
ejpam-3735	506	18	by	by	ADP
ejpam-3735	506	19	(	(	PUNCT
ejpam-3735	506	20	proposition	proposition	NOUN
ejpam-3735	506	21	4	4	NUM
ejpam-3735	506	22	(	(	PUNCT
ejpam-3735	506	23	2	2	NUM
ejpam-3735	506	24	)	)	PUNCT
ejpam-3735	506	25	)	)	PUNCT
ejpam-3735	506	26	,	,	PUNCT
ejpam-3735	506	27	we	we	PRON
ejpam-3735	506	28	have	have	VERB
ejpam-3735	506	29	τ	τ	X
ejpam-3735	506	30	=	=	X
ejpam-3735	506	31	a	a	PRON
ejpam-3735	506	32	?	?	PUNCT
ejpam-3735	507	1	(	(	PUNCT
ejpam-3735	507	2	a	a	DET
ejpam-3735	507	3	•	•	NOUN
ejpam-3735	507	4	τ	τ	NOUN
ejpam-3735	507	5	)	)	PUNCT
ejpam-3735	507	6	and	and	CCONJ
ejpam-3735	507	7	τ	τ	PROPN
ejpam-3735	507	8	=	=	PUNCT
ejpam-3735	507	9	a	a	PRON
ejpam-3735	507	10	•	•	NOUN
ejpam-3735	507	11	(	(	PUNCT
ejpam-3735	507	12	a	a	PRON
ejpam-3735	507	13	?	?	PUNCT
ejpam-3735	507	14	τ	τ	PROPN
ejpam-3735	507	15	)	)	PUNCT
ejpam-3735	507	16	.	.	PUNCT
ejpam-3735	508	1	h.	h.	PROPN
ejpam-3735	508	2	m.	m.	PROPN
ejpam-3735	509	1	al	al	PROPN
ejpam-3735	509	2	-	-	PUNCT
ejpam-3735	509	3	malki	malki	PROPN
ejpam-3735	509	4	,	,	PUNCT
ejpam-3735	509	5	d.	d.	PROPN
ejpam-3735	509	6	s.	s.	PROPN
ejpam-3735	509	7	al	al	PROPN
ejpam-3735	509	8	-	-	PUNCT
ejpam-3735	509	9	kadi	kadi	PROPN
ejpam-3735	509	10	/	/	SYM
ejpam-3735	509	11	eur	eur	PROPN
ejpam-3735	509	12	.	.	PUNCT
ejpam-3735	510	1	j.	j.	PROPN
ejpam-3735	510	2	pure	pure	PROPN
ejpam-3735	510	3	appl	appl	PROPN
ejpam-3735	510	4	.	.	PROPN
ejpam-3735	510	5	math	math	PROPN
ejpam-3735	510	6	,	,	PUNCT
ejpam-3735	510	7	13	13	NUM
ejpam-3735	510	8	(	(	PUNCT
ejpam-3735	510	9	3	3	NUM
ejpam-3735	510	10	)	)	PUNCT
ejpam-3735	510	11	(	(	PUNCT
ejpam-3735	510	12	2020	2020	NUM
ejpam-3735	510	13	)	)	PUNCT
ejpam-3735	510	14	,	,	PUNCT
ejpam-3735	510	15	498	498	NUM
ejpam-3735	510	16	-	-	SYM
ejpam-3735	510	17	512	512	NUM
ejpam-3735	510	18	508	508	NUM
ejpam-3735	510	19	(	(	PUNCT
ejpam-3735	510	20	2	2	NUM
ejpam-3735	510	21	)	)	PUNCT
ejpam-3735	510	22	⇒	⇒	NOUN
ejpam-3735	510	23	(	(	PUNCT
ejpam-3735	510	24	3	3	NUM
ejpam-3735	510	25	)	)	PUNCT
ejpam-3735	510	26	.	.	PUNCT
ejpam-3735	511	1	for	for	ADP
ejpam-3735	511	2	all	all	DET
ejpam-3735	511	3	a	a	DET
ejpam-3735	511	4	∈	∈	PROPN
ejpam-3735	511	5	e.	e.	PROPN
ejpam-3735	511	6	by	by	ADP
ejpam-3735	511	7	(	(	PUNCT
ejpam-3735	511	8	pbf	pbf	NOUN
ejpam-3735	511	9	∗	∗	NOUN
ejpam-3735	511	10	)	)	PUNCT
ejpam-3735	511	11	and	and	CCONJ
ejpam-3735	511	12	(	(	PUNCT
ejpam-3735	511	13	2	2	NUM
ejpam-3735	511	14	)	)	PUNCT
ejpam-3735	511	15	,	,	PUNCT
ejpam-3735	511	16	we	we	PRON
ejpam-3735	511	17	have	have	VERB
ejpam-3735	511	18	(	(	PUNCT
ejpam-3735	511	19	a•b)?(a•τ	a•b)?(a•τ	PROPN
ejpam-3735	511	20	)	)	PUNCT
ejpam-3735	511	21	=	=	PUNCT
ejpam-3735	512	1	[	[	X
ejpam-3735	512	2	a?(a•τ)]•b	a?(a•τ)]•b	X
ejpam-3735	512	3	=	=	SYM
ejpam-3735	512	4	τ	τ	PROPN
ejpam-3735	512	5	•b	•b	PROPN
ejpam-3735	512	6	and	and	CCONJ
ejpam-3735	512	7	(	(	PUNCT
ejpam-3735	512	8	a	a	PRON
ejpam-3735	512	9	?	?	NOUN
ejpam-3735	512	10	b	b	X
ejpam-3735	512	11	)	)	PUNCT
ejpam-3735	512	12	•	•	NOUN
ejpam-3735	512	13	(	(	PUNCT
ejpam-3735	512	14	a	a	PRON
ejpam-3735	512	15	?	?	PUNCT
ejpam-3735	512	16	τ	τ	X
ejpam-3735	512	17	)	)	PUNCT
ejpam-3735	513	1	=	=	PUNCT
ejpam-3735	514	1	[	[	X
ejpam-3735	514	2	a	a	PRON
ejpam-3735	514	3	•	•	NOUN
ejpam-3735	514	4	(	(	PUNCT
ejpam-3735	514	5	a	a	PRON
ejpam-3735	514	6	?	?	PUNCT
ejpam-3735	514	7	τ	τ	X
ejpam-3735	514	8	)	)	PUNCT
ejpam-3735	514	9	]	]	PUNCT
ejpam-3735	514	10	?	?	PUNCT
ejpam-3735	515	1	b	b	X
ejpam-3735	515	2	=	=	SYM
ejpam-3735	515	3	τ	τ	PROPN
ejpam-3735	515	4	?	?	PUNCT
ejpam-3735	516	1	b.	b.	PROPN
ejpam-3735	516	2	(	(	PUNCT
ejpam-3735	516	3	3	3	X
ejpam-3735	516	4	)	)	PUNCT
ejpam-3735	516	5	⇒	⇒	NOUN
ejpam-3735	516	6	(	(	PUNCT
ejpam-3735	516	7	4	4	NUM
ejpam-3735	516	8	)	)	PUNCT
ejpam-3735	516	9	.	.	PUNCT
ejpam-3735	517	1	replacing	replace	VERB
ejpam-3735	517	2	b	b	NUM
ejpam-3735	517	3	by	by	ADP
ejpam-3735	517	4	a	a	DET
ejpam-3735	517	5	?	?	PUNCT
ejpam-3735	517	6	b	b	NOUN
ejpam-3735	517	7	in	in	ADP
ejpam-3735	517	8	(	(	PUNCT
ejpam-3735	517	9	3	3	NUM
ejpam-3735	517	10	)	)	PUNCT
ejpam-3735	517	11	,	,	PUNCT
ejpam-3735	517	12	we	we	PRON
ejpam-3735	517	13	get	get	VERB
ejpam-3735	517	14	τ	τ	X
ejpam-3735	517	15	•	•	NOUN
ejpam-3735	517	16	(	(	PUNCT
ejpam-3735	517	17	a	a	NOUN
ejpam-3735	517	18	?	?	NOUN
ejpam-3735	518	1	b	b	X
ejpam-3735	518	2	)	)	PUNCT
ejpam-3735	518	3	=	=	PUNCT
ejpam-3735	519	1	[	[	X
ejpam-3735	519	2	a	a	PRON
ejpam-3735	519	3	•	•	NOUN
ejpam-3735	519	4	(	(	PUNCT
ejpam-3735	519	5	a	a	NOUN
ejpam-3735	519	6	?	?	NOUN
ejpam-3735	519	7	b	b	X
ejpam-3735	519	8	)	)	PUNCT
ejpam-3735	519	9	]	]	PUNCT
ejpam-3735	519	10	?	?	PUNCT
ejpam-3735	520	1	(	(	PUNCT
ejpam-3735	520	2	a	a	DET
ejpam-3735	520	3	•	•	NOUN
ejpam-3735	520	4	τ	τ	NOUN
ejpam-3735	520	5	)	)	PUNCT
ejpam-3735	520	6	.	.	PUNCT
ejpam-3735	521	1	by	by	ADP
ejpam-3735	521	2	(	(	PUNCT
ejpam-3735	521	3	pbf	pbf	NOUN
ejpam-3735	521	4	∗	∗	NOUN
ejpam-3735	521	5	)	)	PUNCT
ejpam-3735	521	6	and	and	CCONJ
ejpam-3735	521	7	(	(	PUNCT
ejpam-3735	521	8	3	3	NUM
ejpam-3735	521	9	)	)	PUNCT
ejpam-3735	521	10	,	,	PUNCT
ejpam-3735	521	11	we	we	PRON
ejpam-3735	521	12	have	have	VERB
ejpam-3735	521	13	[	[	X
ejpam-3735	521	14	a•	a•	X
ejpam-3735	521	15	(	(	PUNCT
ejpam-3735	521	16	a?b	a?b	ADV
ejpam-3735	521	17	)	)	PUNCT
ejpam-3735	521	18	]	]	PUNCT
ejpam-3735	521	19	?	?	PUNCT
ejpam-3735	522	1	(	(	PUNCT
ejpam-3735	522	2	a•τ	a•τ	PROPN
ejpam-3735	522	3	)	)	PUNCT
ejpam-3735	522	4	=	=	PUNCT
ejpam-3735	523	1	[	[	X
ejpam-3735	523	2	a	a	X
ejpam-3735	523	3	?	?	PUNCT
ejpam-3735	523	4	(	(	PUNCT
ejpam-3735	523	5	a•τ)]•	a•τ)]•	X
ejpam-3735	523	6	(	(	PUNCT
ejpam-3735	523	7	a?b	a?b	ADV
ejpam-3735	523	8	)	)	PUNCT
ejpam-3735	523	9	=	=	SYM
ejpam-3735	524	1	b	b	X
ejpam-3735	524	2	?	?	PUNCT
ejpam-3735	524	3	(	(	PUNCT
ejpam-3735	524	4	a•τ	a•τ	PROPN
ejpam-3735	524	5	)	)	PUNCT
ejpam-3735	524	6	.	.	PUNCT
ejpam-3735	525	1	also	also	ADV
ejpam-3735	525	2	,	,	PUNCT
ejpam-3735	525	3	replacing	replace	VERB
ejpam-3735	525	4	b	b	NOUN
ejpam-3735	525	5	by	by	ADP
ejpam-3735	525	6	a	a	DET
ejpam-3735	525	7	•	•	NOUN
ejpam-3735	525	8	b	b	NOUN
ejpam-3735	525	9	in	in	ADP
ejpam-3735	525	10	(	(	PUNCT
ejpam-3735	525	11	3	3	NUM
ejpam-3735	525	12	)	)	PUNCT
ejpam-3735	525	13	,	,	PUNCT
ejpam-3735	525	14	we	we	PRON
ejpam-3735	525	15	get	get	VERB
ejpam-3735	525	16	τ	τ	PROPN
ejpam-3735	525	17	?	?	PUNCT
ejpam-3735	526	1	(	(	PUNCT
ejpam-3735	526	2	a	a	DET
ejpam-3735	526	3	•	•	NUM
ejpam-3735	526	4	b	b	NOUN
ejpam-3735	526	5	)	)	PUNCT
ejpam-3735	526	6	=	=	PUNCT
ejpam-3735	527	1	[	[	X
ejpam-3735	527	2	a	a	X
ejpam-3735	527	3	?	?	PUNCT
ejpam-3735	528	1	(	(	PUNCT
ejpam-3735	528	2	a	a	DET
ejpam-3735	528	3	•	•	NUM
ejpam-3735	528	4	b	b	NOUN
ejpam-3735	528	5	)	)	PUNCT
ejpam-3735	528	6	]	]	PUNCT
ejpam-3735	529	1	•	•	X
ejpam-3735	529	2	(	(	PUNCT
ejpam-3735	529	3	a	a	NOUN
ejpam-3735	529	4	?	?	PUNCT
ejpam-3735	529	5	τ	τ	NOUN
ejpam-3735	529	6	)	)	PUNCT
ejpam-3735	529	7	.	.	PUNCT
ejpam-3735	530	1	by	by	ADP
ejpam-3735	530	2	(	(	PUNCT
ejpam-3735	530	3	pbf	pbf	NOUN
ejpam-3735	530	4	∗	∗	NOUN
ejpam-3735	530	5	)	)	PUNCT
ejpam-3735	530	6	and	and	CCONJ
ejpam-3735	530	7	(	(	PUNCT
ejpam-3735	530	8	3	3	NUM
ejpam-3735	530	9	)	)	PUNCT
ejpam-3735	530	10	,	,	PUNCT
ejpam-3735	530	11	we	we	PRON
ejpam-3735	530	12	have	have	VERB
ejpam-3735	530	13	[	[	X
ejpam-3735	530	14	a	a	X
ejpam-3735	530	15	?	?	PUNCT
ejpam-3735	531	1	(	(	PUNCT
ejpam-3735	531	2	a	a	DET
ejpam-3735	531	3	•	•	NUM
ejpam-3735	531	4	b	b	NOUN
ejpam-3735	531	5	)	)	PUNCT
ejpam-3735	531	6	]	]	PUNCT
ejpam-3735	532	1	•	•	X
ejpam-3735	532	2	(	(	PUNCT
ejpam-3735	532	3	a	a	PRON
ejpam-3735	532	4	?	?	PUNCT
ejpam-3735	532	5	τ	τ	X
ejpam-3735	532	6	)	)	PUNCT
ejpam-3735	532	7	=	=	PUNCT
ejpam-3735	533	1	[	[	X
ejpam-3735	533	2	a	a	PRON
ejpam-3735	533	3	•	•	NOUN
ejpam-3735	533	4	(	(	PUNCT
ejpam-3735	533	5	a	a	PRON
ejpam-3735	533	6	?	?	PUNCT
ejpam-3735	533	7	τ	τ	X
ejpam-3735	533	8	)	)	PUNCT
ejpam-3735	533	9	]	]	PUNCT
ejpam-3735	533	10	?	?	PUNCT
ejpam-3735	534	1	(	(	PUNCT
ejpam-3735	534	2	a	a	DET
ejpam-3735	534	3	•	•	NUM
ejpam-3735	534	4	b	b	NOUN
ejpam-3735	534	5	)	)	PUNCT
ejpam-3735	534	6	=	=	SYM
ejpam-3735	534	7	b	b	NOUN
ejpam-3735	534	8	•	•	NOUN
ejpam-3735	534	9	(	(	PUNCT
ejpam-3735	534	10	a	a	PRON
ejpam-3735	534	11	?	?	PUNCT
ejpam-3735	534	12	τ	τ	PROPN
ejpam-3735	534	13	)	)	PUNCT
ejpam-3735	534	14	.	.	PUNCT
ejpam-3735	535	1	(	(	PUNCT
ejpam-3735	535	2	4	4	X
ejpam-3735	535	3	)	)	PUNCT
ejpam-3735	535	4	⇒	⇒	NOUN
ejpam-3735	535	5	(	(	PUNCT
ejpam-3735	535	6	5	5	NUM
ejpam-3735	535	7	)	)	PUNCT
ejpam-3735	535	8	.	.	PUNCT
ejpam-3735	536	1	put	put	VERB
ejpam-3735	536	2	b	b	NOUN
ejpam-3735	536	3	=	=	SYM
ejpam-3735	536	4	0	0	PROPN
ejpam-3735	536	5	and	and	CCONJ
ejpam-3735	536	6	a	a	DET
ejpam-3735	536	7	=	=	SYM
ejpam-3735	536	8	b	b	NOUN
ejpam-3735	536	9	in	in	ADP
ejpam-3735	536	10	(	(	PUNCT
ejpam-3735	536	11	4	4	NUM
ejpam-3735	536	12	)	)	PUNCT
ejpam-3735	536	13	.	.	PUNCT
ejpam-3735	537	1	hence	hence	ADV
ejpam-3735	537	2	τ	τ	PROPN
ejpam-3735	537	3	•(b?0	•(b?0	PROPN
ejpam-3735	537	4	)	)	PUNCT
ejpam-3735	537	5	=	=	SYM
ejpam-3735	537	6	0?(b•τ	0?(b•τ	NUM
ejpam-3735	537	7	)	)	PUNCT
ejpam-3735	537	8	and	and	CCONJ
ejpam-3735	537	9	τ	τ	PROPN
ejpam-3735	537	10	?	?	PUNCT
ejpam-3735	537	11	(	(	PUNCT
ejpam-3735	537	12	b•0	b•0	NOUN
ejpam-3735	537	13	)	)	PUNCT
ejpam-3735	537	14	=	=	SYM
ejpam-3735	537	15	0•(b?τ	0•(b?τ	NOUN
ejpam-3735	537	16	)	)	PUNCT
ejpam-3735	537	17	.	.	PUNCT
ejpam-3735	538	1	from	from	ADP
ejpam-3735	538	2	(	(	PUNCT
ejpam-3735	538	3	pbf	pbf	NOUN
ejpam-3735	538	4	(	(	PUNCT
ejpam-3735	538	5	3	3	NUM
ejpam-3735	538	6	)	)	PUNCT
ejpam-3735	538	7	)	)	PUNCT
ejpam-3735	538	8	,	,	PUNCT
ejpam-3735	538	9	then	then	ADV
ejpam-3735	538	10	0	0	PUNCT
ejpam-3735	538	11	?	?	PUNCT
ejpam-3735	539	1	(	(	PUNCT
ejpam-3735	539	2	b	b	X
ejpam-3735	539	3	•	•	NUM
ejpam-3735	539	4	τ	τ	PROPN
ejpam-3735	539	5	)	)	PUNCT
ejpam-3735	539	6	=	=	PUNCT
ejpam-3735	540	1	τ	τ	PROPN
ejpam-3735	540	2	•	•	NUM
ejpam-3735	540	3	b	b	PROPN
ejpam-3735	540	4	and	and	CCONJ
ejpam-3735	540	5	0	0	NUM
ejpam-3735	540	6	•	•	NOUN
ejpam-3735	540	7	(	(	PUNCT
ejpam-3735	540	8	b	b	X
ejpam-3735	540	9	?	?	PUNCT
ejpam-3735	540	10	τ	τ	X
ejpam-3735	540	11	)	)	PUNCT
ejpam-3735	540	12	=	=	PUNCT
ejpam-3735	541	1	τ	τ	PROPN
ejpam-3735	541	2	?	?	PUNCT
ejpam-3735	542	1	b.	b.	PROPN
ejpam-3735	542	2	(	(	PUNCT
ejpam-3735	542	3	5	5	NUM
ejpam-3735	542	4	)	)	PUNCT
ejpam-3735	542	5	⇒	⇒	NOUN
ejpam-3735	542	6	(	(	PUNCT
ejpam-3735	542	7	6	6	NUM
ejpam-3735	542	8	)	)	PUNCT
ejpam-3735	542	9	.	.	PUNCT
ejpam-3735	543	1	put	put	VERB
ejpam-3735	543	2	b	b	NOUN
ejpam-3735	543	3	=	=	NOUN
ejpam-3735	543	4	0	0	NUM
ejpam-3735	543	5	in	in	ADP
ejpam-3735	543	6	(	(	PUNCT
ejpam-3735	543	7	5	5	NUM
ejpam-3735	543	8	)	)	PUNCT
ejpam-3735	543	9	.	.	PUNCT
ejpam-3735	544	1	then	then	ADV
ejpam-3735	544	2	it	it	PRON
ejpam-3735	544	3	is	be	AUX
ejpam-3735	544	4	straightforward	straightforward	ADJ
ejpam-3735	544	5	that	that	SCONJ
ejpam-3735	544	6	0	0	NUM
ejpam-3735	544	7	?	?	PUNCT
ejpam-3735	545	1	(	(	PUNCT
ejpam-3735	545	2	0	0	NUM
ejpam-3735	545	3	•	•	NUM
ejpam-3735	545	4	τ	τ	PROPN
ejpam-3735	545	5	)	)	PUNCT
ejpam-3735	546	1	=	=	PUNCT
ejpam-3735	546	2	τ	τ	PROPN
ejpam-3735	546	3	•	•	NOUN
ejpam-3735	546	4	0	0	NUM
ejpam-3735	547	1	=	=	SYM
ejpam-3735	547	2	τ	τ	PROPN
ejpam-3735	547	3	and	and	CCONJ
ejpam-3735	547	4	0	0	NUM
ejpam-3735	547	5	•	•	NOUN
ejpam-3735	547	6	(	(	PUNCT
ejpam-3735	547	7	0	0	NUM
ejpam-3735	547	8	?	?	PUNCT
ejpam-3735	548	1	τ	τ	X
ejpam-3735	548	2	)	)	PUNCT
ejpam-3735	549	1	=	=	PUNCT
ejpam-3735	549	2	τ	τ	PROPN
ejpam-3735	549	3	?	?	PUNCT
ejpam-3735	549	4	0	0	PUNCT
ejpam-3735	550	1	=	=	SYM
ejpam-3735	550	2	τ	τ	X
ejpam-3735	550	3	by	by	ADP
ejpam-3735	550	4	(	(	PUNCT
ejpam-3735	550	5	pbf	pbf	NOUN
ejpam-3735	550	6	(	(	PUNCT
ejpam-3735	550	7	2	2	NUM
ejpam-3735	550	8	)	)	PUNCT
ejpam-3735	550	9	)	)	PUNCT
ejpam-3735	550	10	.	.	PUNCT
ejpam-3735	551	1	(	(	PUNCT
ejpam-3735	551	2	6	6	X
ejpam-3735	551	3	)	)	PUNCT
ejpam-3735	551	4	⇒	⇒	NOUN
ejpam-3735	551	5	(	(	PUNCT
ejpam-3735	551	6	7	7	NUM
ejpam-3735	551	7	)	)	PUNCT
ejpam-3735	551	8	.	.	PUNCT
ejpam-3735	552	1	for	for	ADP
ejpam-3735	552	2	any	any	DET
ejpam-3735	552	3	τ	τ	PROPN
ejpam-3735	552	4	,	,	PUNCT
ejpam-3735	552	5	c	c	PROPN
ejpam-3735	552	6	∈	∈	PROPN
ejpam-3735	552	7	e.	e.	PROPN
ejpam-3735	552	8	by	by	PROPN
ejpam-3735	552	9	(	(	PUNCT
ejpam-3735	552	10	proposition	proposition	NOUN
ejpam-3735	552	11	4	4	NUM
ejpam-3735	552	12	(	(	PUNCT
ejpam-3735	552	13	6	6	NUM
ejpam-3735	552	14	)	)	PUNCT
ejpam-3735	552	15	)	)	PUNCT
ejpam-3735	552	16	,	,	PUNCT
ejpam-3735	552	17	we	we	PRON
ejpam-3735	552	18	have	have	VERB
ejpam-3735	552	19	0?[0•(τ?c	0?[0•(τ?c	VERB
ejpam-3735	552	20	)	)	PUNCT
ejpam-3735	552	21	]	]	PUNCT
ejpam-3735	553	1	=	=	PUNCT
ejpam-3735	553	2	0•[0•(τ?c	0•[0•(τ?c	PROPN
ejpam-3735	553	3	)	)	PUNCT
ejpam-3735	553	4	]	]	PUNCT
ejpam-3735	554	1	=	=	PUNCT
ejpam-3735	554	2	0	0	NUM
ejpam-3735	554	3	•	•	NOUN
ejpam-3735	555	1	[	[	X
ejpam-3735	555	2	0	0	NUM
ejpam-3735	555	3	?	?	PUNCT
ejpam-3735	556	1	(	(	PUNCT
ejpam-3735	556	2	τ	τ	X
ejpam-3735	556	3	?	?	PUNCT
ejpam-3735	557	1	c	c	X
ejpam-3735	557	2	)	)	PUNCT
ejpam-3735	557	3	]	]	PUNCT
ejpam-3735	557	4	.	.	PUNCT
ejpam-3735	558	1	by	by	ADP
ejpam-3735	558	2	(	(	PUNCT
ejpam-3735	558	3	proposition	proposition	NOUN
ejpam-3735	558	4	4	4	NUM
ejpam-3735	558	5	(	(	PUNCT
ejpam-3735	558	6	5	5	NUM
ejpam-3735	558	7	)	)	PUNCT
ejpam-3735	558	8	)	)	PUNCT
ejpam-3735	558	9	,	,	PUNCT
ejpam-3735	558	10	then	then	ADV
ejpam-3735	558	11	0	0	NUM
ejpam-3735	558	12	•	•	NOUN
ejpam-3735	558	13	[	[	X
ejpam-3735	558	14	0	0	NUM
ejpam-3735	558	15	?	?	PUNCT
ejpam-3735	559	1	(	(	PUNCT
ejpam-3735	559	2	τ	τ	X
ejpam-3735	559	3	?	?	PUNCT
ejpam-3735	560	1	c	c	X
ejpam-3735	560	2	)	)	PUNCT
ejpam-3735	560	3	]	]	PUNCT
ejpam-3735	561	1	=	=	PUNCT
ejpam-3735	561	2	0	0	NUM
ejpam-3735	561	3	•	•	NOUN
ejpam-3735	562	1	[	[	X
ejpam-3735	562	2	(	(	PUNCT
ejpam-3735	562	3	0	0	NUM
ejpam-3735	562	4	•	•	NUM
ejpam-3735	562	5	τ	τ	PROPN
ejpam-3735	562	6	)	)	PUNCT
ejpam-3735	562	7	•	•	NOUN
ejpam-3735	562	8	(	(	PUNCT
ejpam-3735	562	9	0	0	NUM
ejpam-3735	562	10	?	?	PUNCT
ejpam-3735	563	1	c	c	X
ejpam-3735	563	2	)	)	PUNCT
ejpam-3735	563	3	]	]	PUNCT
ejpam-3735	563	4	.	.	PUNCT
ejpam-3735	564	1	by	by	ADP
ejpam-3735	564	2	(	(	PUNCT
ejpam-3735	564	3	proposition	proposition	NOUN
ejpam-3735	564	4	4	4	NUM
ejpam-3735	564	5	(	(	PUNCT
ejpam-3735	564	6	4	4	NUM
ejpam-3735	564	7	)	)	PUNCT
ejpam-3735	564	8	)	)	PUNCT
ejpam-3735	564	9	,	,	PUNCT
ejpam-3735	564	10	we	we	PRON
ejpam-3735	564	11	get	get	VERB
ejpam-3735	564	12	0	0	NUM
ejpam-3735	564	13	•	•	NOUN
ejpam-3735	564	14	[	[	X
ejpam-3735	564	15	(	(	PUNCT
ejpam-3735	564	16	0	0	NUM
ejpam-3735	564	17	•	•	NUM
ejpam-3735	564	18	τ	τ	PROPN
ejpam-3735	564	19	)	)	PUNCT
ejpam-3735	564	20	•	•	NOUN
ejpam-3735	564	21	(	(	PUNCT
ejpam-3735	564	22	0	0	NUM
ejpam-3735	564	23	?	?	PUNCT
ejpam-3735	565	1	c	c	X
ejpam-3735	565	2	)	)	PUNCT
ejpam-3735	565	3	]	]	PUNCT
ejpam-3735	566	1	=	=	PUNCT
ejpam-3735	567	1	[	[	X
ejpam-3735	567	2	0	0	NUM
ejpam-3735	567	3	?	?	PUNCT
ejpam-3735	568	1	(	(	PUNCT
ejpam-3735	568	2	0	0	NUM
ejpam-3735	568	3	•	•	NUM
ejpam-3735	568	4	τ	τ	PROPN
ejpam-3735	568	5	)	)	PUNCT
ejpam-3735	568	6	]	]	PUNCT
ejpam-3735	568	7	?	?	PUNCT
ejpam-3735	569	1	[	[	X
ejpam-3735	569	2	0	0	NUM
ejpam-3735	569	3	•	•	NUM
ejpam-3735	569	4	(	(	PUNCT
ejpam-3735	569	5	0	0	NUM
ejpam-3735	569	6	?	?	PUNCT
ejpam-3735	570	1	c	c	X
ejpam-3735	570	2	)	)	PUNCT
ejpam-3735	570	3	]	]	PUNCT
ejpam-3735	570	4	.	.	PUNCT
ejpam-3735	571	1	by	by	ADP
ejpam-3735	571	2	(	(	PUNCT
ejpam-3735	571	3	6	6	NUM
ejpam-3735	571	4	)	)	PUNCT
ejpam-3735	571	5	,	,	PUNCT
ejpam-3735	571	6	then	then	ADV
ejpam-3735	571	7	[	[	X
ejpam-3735	571	8	0	0	NUM
ejpam-3735	571	9	?	?	PUNCT
ejpam-3735	572	1	(	(	PUNCT
ejpam-3735	572	2	0	0	NUM
ejpam-3735	572	3	•	•	NUM
ejpam-3735	572	4	τ	τ	PROPN
ejpam-3735	572	5	)	)	PUNCT
ejpam-3735	572	6	]	]	PUNCT
ejpam-3735	572	7	?	?	PUNCT
ejpam-3735	573	1	[	[	X
ejpam-3735	573	2	0	0	NUM
ejpam-3735	573	3	•	•	NUM
ejpam-3735	573	4	(	(	PUNCT
ejpam-3735	573	5	0	0	NUM
ejpam-3735	573	6	?	?	PUNCT
ejpam-3735	574	1	c	c	X
ejpam-3735	574	2	)	)	PUNCT
ejpam-3735	574	3	]	]	PUNCT
ejpam-3735	575	1	=	=	PUNCT
ejpam-3735	575	2	τ	τ	X
ejpam-3735	575	3	?	?	PUNCT
ejpam-3735	576	1	c.	c.	PROPN
ejpam-3735	576	2	also	also	ADV
ejpam-3735	576	3	,	,	PUNCT
ejpam-3735	576	4	by	by	ADP
ejpam-3735	576	5	(	(	PUNCT
ejpam-3735	576	6	proposition	proposition	NOUN
ejpam-3735	576	7	4	4	NUM
ejpam-3735	576	8	(	(	PUNCT
ejpam-3735	576	9	6),(4	6),(4	PROPN
ejpam-3735	576	10	)	)	PUNCT
ejpam-3735	576	11	and	and	CCONJ
ejpam-3735	576	12	(	(	PUNCT
ejpam-3735	576	13	5	5	NUM
ejpam-3735	576	14	)	)	PUNCT
ejpam-3735	576	15	,	,	PUNCT
ejpam-3735	576	16	respectively	respectively	ADV
ejpam-3735	576	17	)	)	PUNCT
ejpam-3735	576	18	and	and	CCONJ
ejpam-3735	576	19	(	(	PUNCT
ejpam-3735	576	20	6	6	X
ejpam-3735	576	21	)	)	PUNCT
ejpam-3735	576	22	we	we	PRON
ejpam-3735	576	23	have	have	VERB
ejpam-3735	576	24	0	0	NUM
ejpam-3735	576	25	•	•	NOUN
ejpam-3735	577	1	[	[	X
ejpam-3735	577	2	0	0	NUM
ejpam-3735	577	3	?	?	PUNCT
ejpam-3735	578	1	(	(	PUNCT
ejpam-3735	578	2	τ	τ	X
ejpam-3735	578	3	•	•	NUM
ejpam-3735	578	4	c	c	NOUN
ejpam-3735	578	5	)	)	PUNCT
ejpam-3735	578	6	]	]	PUNCT
ejpam-3735	579	1	=	=	PUNCT
ejpam-3735	579	2	0	0	PUNCT
ejpam-3735	579	3	?	?	PUNCT
ejpam-3735	580	1	[	[	X
ejpam-3735	580	2	0	0	NUM
ejpam-3735	580	3	?	?	PUNCT
ejpam-3735	581	1	(	(	PUNCT
ejpam-3735	581	2	τ	τ	X
ejpam-3735	581	3	•	•	NUM
ejpam-3735	581	4	c	c	NOUN
ejpam-3735	581	5	)	)	PUNCT
ejpam-3735	581	6	]	]	PUNCT
ejpam-3735	582	1	=	=	PUNCT
ejpam-3735	582	2	0	0	PUNCT
ejpam-3735	582	3	?	?	PUNCT
ejpam-3735	583	1	[	[	X
ejpam-3735	583	2	0	0	NUM
ejpam-3735	583	3	•	•	NOUN
ejpam-3735	583	4	(	(	PUNCT
ejpam-3735	583	5	τ	τ	PROPN
ejpam-3735	583	6	•	•	NUM
ejpam-3735	583	7	c	c	NOUN
ejpam-3735	583	8	)	)	PUNCT
ejpam-3735	583	9	]	]	PUNCT
ejpam-3735	584	1	=	=	PUNCT
ejpam-3735	584	2	0	0	PUNCT
ejpam-3735	584	3	?	?	PUNCT
ejpam-3735	585	1	[	[	X
ejpam-3735	585	2	(	(	PUNCT
ejpam-3735	585	3	0	0	NUM
ejpam-3735	585	4	?	?	PUNCT
ejpam-3735	585	5	τ	τ	X
ejpam-3735	585	6	)	)	PUNCT
ejpam-3735	585	7	?	?	PUNCT
ejpam-3735	586	1	(	(	PUNCT
ejpam-3735	586	2	0	0	NUM
ejpam-3735	586	3	•	•	NUM
ejpam-3735	586	4	c	c	NOUN
ejpam-3735	586	5	)	)	PUNCT
ejpam-3735	586	6	]	]	PUNCT
ejpam-3735	587	1	=	=	PUNCT
ejpam-3735	588	1	[	[	X
ejpam-3735	588	2	0	0	NUM
ejpam-3735	588	3	•	•	NOUN
ejpam-3735	588	4	(	(	PUNCT
ejpam-3735	588	5	0	0	NUM
ejpam-3735	588	6	?	?	PUNCT
ejpam-3735	589	1	τ	τ	X
ejpam-3735	589	2	)	)	PUNCT
ejpam-3735	589	3	]	]	PUNCT
ejpam-3735	590	1	•	•	NUM
ejpam-3735	591	1	[	[	X
ejpam-3735	591	2	0	0	NUM
ejpam-3735	591	3	?	?	PUNCT
ejpam-3735	592	1	(	(	PUNCT
ejpam-3735	592	2	0	0	NUM
ejpam-3735	592	3	•	•	NUM
ejpam-3735	592	4	c	c	NOUN
ejpam-3735	592	5	)	)	PUNCT
ejpam-3735	592	6	]	]	PUNCT
ejpam-3735	593	1	=	=	PUNCT
ejpam-3735	593	2	τ	τ	PROPN
ejpam-3735	593	3	•	•	PROPN
ejpam-3735	593	4	c.	c.	NOUN
ejpam-3735	593	5	thus	thus	ADV
ejpam-3735	593	6	(	(	PUNCT
ejpam-3735	593	7	7	7	X
ejpam-3735	593	8	)	)	PUNCT
ejpam-3735	593	9	holds	hold	NOUN
ejpam-3735	593	10	.	.	PUNCT
ejpam-3735	594	1	(	(	PUNCT
ejpam-3735	594	2	7	7	X
ejpam-3735	594	3	)	)	PUNCT
ejpam-3735	594	4	⇒	⇒	NOUN
ejpam-3735	594	5	(	(	PUNCT
ejpam-3735	594	6	8)	8)	NUM
ejpam-3735	594	7	.	.	PUNCT
ejpam-3735	595	1	for	for	ADP
ejpam-3735	595	2	any	any	DET
ejpam-3735	595	3	c	c	NOUN
ejpam-3735	595	4	,	,	PUNCT
ejpam-3735	595	5	d	d	PROPN
ejpam-3735	595	6	,	,	PUNCT
ejpam-3735	595	7	τ	τ	PROPN
ejpam-3735	595	8	∈	∈	PROPN
ejpam-3735	595	9	e	e	NOUN
ejpam-3735	595	10	,	,	PUNCT
ejpam-3735	595	11	we	we	PRON
ejpam-3735	595	12	have	have	VERB
ejpam-3735	595	13	τ	τ	X
ejpam-3735	595	14	?	?	PUNCT
ejpam-3735	596	1	d	d	X
ejpam-3735	596	2	=	=	NOUN
ejpam-3735	596	3	0	0	PUNCT
ejpam-3735	596	4	?	?	PUNCT
ejpam-3735	597	1	[	[	X
ejpam-3735	597	2	0	0	NUM
ejpam-3735	597	3	•	•	NOUN
ejpam-3735	597	4	(	(	PUNCT
ejpam-3735	597	5	τ	τ	X
ejpam-3735	597	6	?	?	PUNCT
ejpam-3735	598	1	d	d	X
ejpam-3735	598	2	)	)	PUNCT
ejpam-3735	598	3	]	]	PUNCT
ejpam-3735	599	1	=	=	PUNCT
ejpam-3735	599	2	0	0	PUNCT
ejpam-3735	599	3	?	?	PUNCT
ejpam-3735	600	1	[	[	X
ejpam-3735	600	2	(	(	PUNCT
ejpam-3735	600	3	c	c	NOUN
ejpam-3735	600	4	?	?	PUNCT
ejpam-3735	601	1	c	c	X
ejpam-3735	601	2	)	)	PUNCT
ejpam-3735	601	3	•	•	NOUN
ejpam-3735	601	4	(	(	PUNCT
ejpam-3735	601	5	τ	τ	X
ejpam-3735	601	6	?	?	PUNCT
ejpam-3735	602	1	d	d	X
ejpam-3735	602	2	)	)	PUNCT
ejpam-3735	602	3	]	]	PUNCT
ejpam-3735	602	4	=	=	PUNCT
ejpam-3735	602	5	0	0	NUM
ejpam-3735	602	6	?	?	PUNCT
ejpam-3735	603	1	(	(	PUNCT
ejpam-3735	603	2	[	[	X
ejpam-3735	603	3	c	c	X
ejpam-3735	603	4	•	•	VERB
ejpam-3735	603	5	(	(	PUNCT
ejpam-3735	603	6	τ	τ	X
ejpam-3735	603	7	?	?	PUNCT
ejpam-3735	604	1	d	d	X
ejpam-3735	604	2	)	)	PUNCT
ejpam-3735	604	3	]	]	PUNCT
ejpam-3735	604	4	?	?	PUNCT
ejpam-3735	605	1	c	c	X
ejpam-3735	605	2	)	)	PUNCT
ejpam-3735	605	3	from	from	ADP
ejpam-3735	605	4	(	(	PUNCT
ejpam-3735	605	5	7	7	NUM
ejpam-3735	605	6	)	)	PUNCT
ejpam-3735	605	7	,	,	PUNCT
ejpam-3735	605	8	(	(	PUNCT
ejpam-3735	605	9	pbf	pbf	NOUN
ejpam-3735	605	10	(	(	PUNCT
ejpam-3735	605	11	1	1	NUM
ejpam-3735	605	12	)	)	PUNCT
ejpam-3735	605	13	)	)	PUNCT
ejpam-3735	605	14	and	and	CCONJ
ejpam-3735	605	15	(	(	PUNCT
ejpam-3735	605	16	pbf	pbf	NOUN
ejpam-3735	605	17	∗	∗	NOUN
ejpam-3735	605	18	)	)	PUNCT
ejpam-3735	605	19	.	.	PUNCT
ejpam-3735	606	1	by	by	ADP
ejpam-3735	606	2	(	(	PUNCT
ejpam-3735	606	3	proposition	proposition	NOUN
ejpam-3735	606	4	4	4	NUM
ejpam-3735	606	5	(	(	PUNCT
ejpam-3735	606	6	5	5	NUM
ejpam-3735	606	7	)	)	PUNCT
ejpam-3735	606	8	and	and	CCONJ
ejpam-3735	606	9	(	(	PUNCT
ejpam-3735	606	10	6	6	NUM
ejpam-3735	606	11	)	)	PUNCT
ejpam-3735	606	12	,	,	PUNCT
ejpam-3735	606	13	respectively	respectively	ADV
ejpam-3735	606	14	)	)	PUNCT
ejpam-3735	606	15	then	then	ADV
ejpam-3735	606	16	0?([c•(τ	0?([c•(τ	NUM
ejpam-3735	606	17	?	?	PUNCT
ejpam-3735	606	18	d)]?c	d)]?c	NOUN
ejpam-3735	606	19	)	)	PUNCT
ejpam-3735	606	20	=	=	PUNCT
ejpam-3735	606	21	(	(	PUNCT
ejpam-3735	606	22	0•	0•	X
ejpam-3735	607	1	[	[	X
ejpam-3735	607	2	c•(τ	c•(τ	ADJ
ejpam-3735	607	3	?	?	PUNCT
ejpam-3735	607	4	d)])•(0?c	d)])•(0?c	NOUN
ejpam-3735	607	5	)	)	PUNCT
ejpam-3735	607	6	=	=	PUNCT
ejpam-3735	608	1	(	(	PUNCT
ejpam-3735	608	2	0	0	NUM
ejpam-3735	608	3	?	?	PUNCT
ejpam-3735	609	1	[	[	X
ejpam-3735	609	2	c•(τ	c•(τ	ADJ
ejpam-3735	609	3	?	?	PUNCT
ejpam-3735	609	4	d)])•(0?c	d)])•(0?c	NOUN
ejpam-3735	609	5	)	)	PUNCT
ejpam-3735	609	6	.	.	PUNCT
ejpam-3735	610	1	using	use	VERB
ejpam-3735	610	2	(	(	PUNCT
ejpam-3735	610	3	pbf	pbf	NOUN
ejpam-3735	610	4	∗	∗	NOUN
ejpam-3735	610	5	)	)	PUNCT
ejpam-3735	610	6	,	,	PUNCT
ejpam-3735	610	7	(	(	PUNCT
ejpam-3735	610	8	0	0	NUM
ejpam-3735	610	9	?	?	PUNCT
ejpam-3735	611	1	[	[	X
ejpam-3735	611	2	c	c	X
ejpam-3735	611	3	•	•	VERB
ejpam-3735	611	4	(	(	PUNCT
ejpam-3735	611	5	τ	τ	X
ejpam-3735	611	6	?	?	PUNCT
ejpam-3735	612	1	d	d	X
ejpam-3735	612	2	)	)	PUNCT
ejpam-3735	612	3	]	]	PUNCT
ejpam-3735	612	4	)	)	PUNCT
ejpam-3735	612	5	•	•	X
ejpam-3735	612	6	(	(	PUNCT
ejpam-3735	612	7	0	0	NUM
ejpam-3735	612	8	?	?	PUNCT
ejpam-3735	613	1	c	c	X
ejpam-3735	613	2	)	)	PUNCT
ejpam-3735	613	3	=	=	SYM
ejpam-3735	614	1	(	(	PUNCT
ejpam-3735	614	2	0	0	NUM
ejpam-3735	614	3	•	•	NOUN
ejpam-3735	614	4	(	(	PUNCT
ejpam-3735	614	5	0	0	NUM
ejpam-3735	614	6	?	?	PUNCT
ejpam-3735	615	1	c	c	X
ejpam-3735	615	2	)	)	PUNCT
ejpam-3735	615	3	)	)	PUNCT
ejpam-3735	615	4	?	?	PUNCT
ejpam-3735	616	1	[	[	X
ejpam-3735	616	2	c	c	X
ejpam-3735	616	3	•	•	VERB
ejpam-3735	616	4	(	(	PUNCT
ejpam-3735	616	5	τ	τ	X
ejpam-3735	616	6	?	?	PUNCT
ejpam-3735	617	1	d	d	X
ejpam-3735	617	2	)	)	PUNCT
ejpam-3735	617	3	]	]	PUNCT
ejpam-3735	617	4	.	.	PUNCT
ejpam-3735	618	1	by	by	ADP
ejpam-3735	618	2	(	(	PUNCT
ejpam-3735	618	3	proposition	proposition	NOUN
ejpam-3735	618	4	4	4	NUM
ejpam-3735	618	5	(	(	PUNCT
ejpam-3735	618	6	6	6	NUM
ejpam-3735	618	7	)	)	PUNCT
ejpam-3735	618	8	)	)	PUNCT
ejpam-3735	618	9	,	,	PUNCT
ejpam-3735	618	10	we	we	PRON
ejpam-3735	618	11	get	get	VERB
ejpam-3735	618	12	(	(	PUNCT
ejpam-3735	618	13	0	0	NUM
ejpam-3735	618	14	•	•	NOUN
ejpam-3735	618	15	(	(	PUNCT
ejpam-3735	618	16	0	0	NUM
ejpam-3735	618	17	?	?	PUNCT
ejpam-3735	619	1	c	c	X
ejpam-3735	619	2	)	)	PUNCT
ejpam-3735	619	3	)	)	PUNCT
ejpam-3735	619	4	?	?	PUNCT
ejpam-3735	620	1	[	[	X
ejpam-3735	620	2	c	c	X
ejpam-3735	620	3	•	•	VERB
ejpam-3735	620	4	(	(	PUNCT
ejpam-3735	620	5	τ	τ	X
ejpam-3735	620	6	?	?	PUNCT
ejpam-3735	620	7	d	d	X
ejpam-3735	620	8	)	)	PUNCT
ejpam-3735	620	9	]	]	PUNCT
ejpam-3735	621	1	=	=	PUNCT
ejpam-3735	621	2	(	(	PUNCT
ejpam-3735	621	3	0	0	NUM
ejpam-3735	621	4	?	?	PUNCT
ejpam-3735	622	1	(	(	PUNCT
ejpam-3735	622	2	0	0	NUM
ejpam-3735	622	3	?	?	PUNCT
ejpam-3735	623	1	c	c	X
ejpam-3735	623	2	)	)	PUNCT
ejpam-3735	623	3	)	)	PUNCT
ejpam-3735	623	4	?	?	PUNCT
ejpam-3735	624	1	[	[	X
ejpam-3735	624	2	c	c	X
ejpam-3735	624	3	•	•	VERB
ejpam-3735	624	4	(	(	PUNCT
ejpam-3735	624	5	τ	τ	X
ejpam-3735	624	6	?	?	PUNCT
ejpam-3735	625	1	d	d	X
ejpam-3735	625	2	)	)	PUNCT
ejpam-3735	625	3	]	]	PUNCT
ejpam-3735	625	4	.	.	PUNCT
ejpam-3735	626	1	using	use	VERB
ejpam-3735	626	2	(	(	PUNCT
ejpam-3735	626	3	pbf	pbf	NOUN
ejpam-3735	626	4	(	(	PUNCT
ejpam-3735	626	5	3	3	NUM
ejpam-3735	626	6	)	)	PUNCT
ejpam-3735	626	7	)	)	PUNCT
ejpam-3735	626	8	,	,	PUNCT
ejpam-3735	626	9	the	the	DET
ejpam-3735	626	10	hypothesis	hypothesis	NOUN
ejpam-3735	626	11	and	and	CCONJ
ejpam-3735	626	12	(	(	PUNCT
ejpam-3735	626	13	pbf	pbf	PROPN
ejpam-3735	626	14	(	(	PUNCT
ejpam-3735	626	15	2	2	NUM
ejpam-3735	626	16	)	)	PUNCT
ejpam-3735	626	17	)	)	PUNCT
ejpam-3735	626	18	,	,	PUNCT
ejpam-3735	626	19	respectively	respectively	ADV
ejpam-3735	626	20	we	we	PRON
ejpam-3735	626	21	have	have	VERB
ejpam-3735	626	22	(	(	PUNCT
ejpam-3735	626	23	0	0	NUM
ejpam-3735	626	24	?	?	PUNCT
ejpam-3735	627	1	(	(	PUNCT
ejpam-3735	627	2	0	0	NUM
ejpam-3735	627	3	?	?	PUNCT
ejpam-3735	628	1	c	c	X
ejpam-3735	628	2	)	)	PUNCT
ejpam-3735	628	3	)	)	PUNCT
ejpam-3735	628	4	?	?	PUNCT
ejpam-3735	629	1	[	[	X
ejpam-3735	629	2	c	c	X
ejpam-3735	629	3	•	•	VERB
ejpam-3735	629	4	(	(	PUNCT
ejpam-3735	629	5	τ	τ	X
ejpam-3735	629	6	?	?	PUNCT
ejpam-3735	629	7	d	d	X
ejpam-3735	629	8	)	)	PUNCT
ejpam-3735	629	9	]	]	PUNCT
ejpam-3735	630	1	=	=	PUNCT
ejpam-3735	630	2	(	(	PUNCT
ejpam-3735	630	3	0	0	NUM
ejpam-3735	630	4	?	?	PUNCT
ejpam-3735	631	1	[	[	X
ejpam-3735	631	2	0	0	NUM
ejpam-3735	631	3	•	•	NOUN
ejpam-3735	631	4	(	(	PUNCT
ejpam-3735	631	5	c	c	NOUN
ejpam-3735	631	6	?	?	PUNCT
ejpam-3735	631	7	0	0	NUM
ejpam-3735	631	8	)	)	PUNCT
ejpam-3735	631	9	]	]	PUNCT
ejpam-3735	631	10	)	)	PUNCT
ejpam-3735	631	11	?	?	PUNCT
ejpam-3735	632	1	[	[	X
ejpam-3735	632	2	c	c	X
ejpam-3735	632	3	•	•	VERB
ejpam-3735	632	4	(	(	PUNCT
ejpam-3735	632	5	τ	τ	X
ejpam-3735	632	6	?	?	PUNCT
ejpam-3735	632	7	d	d	X
ejpam-3735	632	8	)	)	PUNCT
ejpam-3735	632	9	]	]	PUNCT
ejpam-3735	633	1	=	=	PUNCT
ejpam-3735	633	2	(	(	PUNCT
ejpam-3735	633	3	c	c	NOUN
ejpam-3735	633	4	?	?	PUNCT
ejpam-3735	633	5	0	0	NUM
ejpam-3735	633	6	)	)	PUNCT
ejpam-3735	633	7	?	?	PUNCT
ejpam-3735	634	1	[	[	X
ejpam-3735	634	2	c	c	X
ejpam-3735	634	3	•	•	VERB
ejpam-3735	634	4	(	(	PUNCT
ejpam-3735	634	5	τ	τ	X
ejpam-3735	634	6	?	?	PUNCT
ejpam-3735	634	7	d	d	X
ejpam-3735	634	8	)	)	PUNCT
ejpam-3735	634	9	]	]	PUNCT
ejpam-3735	635	1	=	=	PUNCT
ejpam-3735	635	2	c	c	NOUN
ejpam-3735	635	3	?	?	PUNCT
ejpam-3735	636	1	[	[	X
ejpam-3735	636	2	c	c	X
ejpam-3735	636	3	•	•	VERB
ejpam-3735	636	4	(	(	PUNCT
ejpam-3735	636	5	τ	τ	X
ejpam-3735	636	6	?	?	PUNCT
ejpam-3735	637	1	d	d	X
ejpam-3735	637	2	)	)	PUNCT
ejpam-3735	637	3	]	]	PUNCT
ejpam-3735	637	4	.	.	PUNCT
ejpam-3735	638	1	similarly	similarly	ADV
ejpam-3735	638	2	c	c	NOUN
ejpam-3735	638	3	•	•	NOUN
ejpam-3735	639	1	[	[	X
ejpam-3735	639	2	c	c	NOUN
ejpam-3735	639	3	?	?	PUNCT
ejpam-3735	640	1	(	(	PUNCT
ejpam-3735	640	2	τ	τ	PROPN
ejpam-3735	640	3	•	•	NUM
ejpam-3735	640	4	d	d	PROPN
ejpam-3735	640	5	)	)	PUNCT
ejpam-3735	640	6	]	]	PUNCT
ejpam-3735	641	1	=	=	PUNCT
ejpam-3735	641	2	τ	τ	X
ejpam-3735	641	3	•	•	NUM
ejpam-3735	641	4	d	d	NOUN
ejpam-3735	641	5	is	be	AUX
ejpam-3735	641	6	proved	prove	VERB
ejpam-3735	641	7	.	.	PUNCT
ejpam-3735	642	1	(	(	PUNCT
ejpam-3735	642	2	8)	8)	NUM
ejpam-3735	642	3	⇒	⇒	NOUN
ejpam-3735	642	4	(	(	PUNCT
ejpam-3735	642	5	1	1	NUM
ejpam-3735	642	6	)	)	PUNCT
ejpam-3735	642	7	.	.	PUNCT
ejpam-3735	643	1	let	let	VERB
ejpam-3735	643	2	c	c	NOUN
ejpam-3735	643	3	≤	≤	X
ejpam-3735	643	4	τ	τ	X
ejpam-3735	643	5	we	we	PRON
ejpam-3735	643	6	have	have	VERB
ejpam-3735	643	7	c	c	NOUN
ejpam-3735	643	8	•	•	NOUN
ejpam-3735	644	1	τ	τ	X
ejpam-3735	644	2	=	=	PUNCT
ejpam-3735	644	3	c	c	NOUN
ejpam-3735	644	4	?	?	PUNCT
ejpam-3735	645	1	τ	τ	X
ejpam-3735	645	2	=	=	SYM
ejpam-3735	646	1	0	0	X
ejpam-3735	646	2	.	.	PUNCT
ejpam-3735	647	1	by	by	ADP
ejpam-3735	647	2	(	(	PUNCT
ejpam-3735	647	3	pbf	pbf	NOUN
ejpam-3735	647	4	(	(	PUNCT
ejpam-3735	647	5	2	2	NUM
ejpam-3735	647	6	)	)	PUNCT
ejpam-3735	647	7	)	)	PUNCT
ejpam-3735	648	1	we	we	PRON
ejpam-3735	648	2	have	have	VERB
ejpam-3735	648	3	τ	τ	X
ejpam-3735	648	4	=	=	SYM
ejpam-3735	648	5	τ	τ	PROPN
ejpam-3735	648	6	•	•	NOUN
ejpam-3735	648	7	0	0	NUM
ejpam-3735	648	8	.	.	PUNCT
ejpam-3735	649	1	then	then	ADV
ejpam-3735	649	2	by	by	ADP
ejpam-3735	649	3	(	(	PUNCT
ejpam-3735	649	4	8)	8)	NUM
ejpam-3735	649	5	with	with	ADP
ejpam-3735	649	6	d	d	PROPN
ejpam-3735	649	7	=	=	SYM
ejpam-3735	649	8	0	0	NUM
ejpam-3735	649	9	we	we	PRON
ejpam-3735	649	10	obtain	obtain	VERB
ejpam-3735	649	11	τ	τ	PROPN
ejpam-3735	649	12	•	•	NOUN
ejpam-3735	649	13	0	0	NUM
ejpam-3735	650	1	=	=	SYM
ejpam-3735	650	2	c	c	NOUN
ejpam-3735	650	3	•	•	NOUN
ejpam-3735	651	1	[	[	X
ejpam-3735	651	2	c	c	NOUN
ejpam-3735	651	3	?	?	PUNCT
ejpam-3735	652	1	(	(	PUNCT
ejpam-3735	652	2	τ	τ	X
ejpam-3735	652	3	•	•	NOUN
ejpam-3735	652	4	0	0	NUM
ejpam-3735	652	5	)	)	PUNCT
ejpam-3735	652	6	]	]	PUNCT
ejpam-3735	652	7	.	.	PUNCT
ejpam-3735	653	1	using	use	VERB
ejpam-3735	653	2	(	(	PUNCT
ejpam-3735	653	3	pbf	pbf	NOUN
ejpam-3735	653	4	(	(	PUNCT
ejpam-3735	653	5	2	2	NUM
ejpam-3735	653	6	)	)	PUNCT
ejpam-3735	653	7	)	)	PUNCT
ejpam-3735	654	1	we	we	PRON
ejpam-3735	654	2	have	have	VERB
ejpam-3735	654	3	c	c	NOUN
ejpam-3735	654	4	•	•	NOUN
ejpam-3735	655	1	[	[	X
ejpam-3735	655	2	c	c	NOUN
ejpam-3735	655	3	?	?	PUNCT
ejpam-3735	656	1	(	(	PUNCT
ejpam-3735	656	2	τ	τ	X
ejpam-3735	656	3	•	•	NOUN
ejpam-3735	656	4	0	0	NUM
ejpam-3735	656	5	)	)	PUNCT
ejpam-3735	656	6	]	]	PUNCT
ejpam-3735	657	1	=	=	PUNCT
ejpam-3735	657	2	c	c	NOUN
ejpam-3735	657	3	•	•	NOUN
ejpam-3735	658	1	[	[	X
ejpam-3735	658	2	c	c	NOUN
ejpam-3735	658	3	?	?	PUNCT
ejpam-3735	659	1	τ	τ	X
ejpam-3735	659	2	]	]	PUNCT
ejpam-3735	660	1	=	=	PUNCT
ejpam-3735	660	2	c	c	NOUN
ejpam-3735	660	3	•	•	NOUN
ejpam-3735	660	4	0	0	X
ejpam-3735	661	1	=	=	SYM
ejpam-3735	661	2	c.	c.	PROPN
ejpam-3735	661	3	thus	thus	ADV
ejpam-3735	661	4	τ	τ	PROPN
ejpam-3735	661	5	is	be	AUX
ejpam-3735	661	6	a	a	DET
ejpam-3735	661	7	pseudo	pseudo	NOUN
ejpam-3735	661	8	-	-	NOUN
ejpam-3735	661	9	atom	atom	NOUN
ejpam-3735	661	10	of	of	ADP
ejpam-3735	661	11	e.	e.	PROPN
ejpam-3735	661	12	corollary	corollary	PROPN
ejpam-3735	661	13	3	3	PROPN
ejpam-3735	661	14	.	.	PUNCT
ejpam-3735	662	1	in	in	ADP
ejpam-3735	662	2	a	a	DET
ejpam-3735	662	3	pseudo	pseudo	NOUN
ejpam-3735	662	4	-	-	NOUN
ejpam-3735	662	5	bf	bf	NOUN
ejpam-3735	662	6	∗-algebra	∗-algebra	NOUN
ejpam-3735	662	7	(	(	PUNCT
ejpam-3735	662	8	e	e	NOUN
ejpam-3735	662	9	;	;	PUNCT
ejpam-3735	662	10	•	•	NUM
ejpam-3735	662	11	,	,	PUNCT
ejpam-3735	662	12	?	?	PUNCT
ejpam-3735	662	13	,	,	PUNCT
ejpam-3735	662	14	0	0	NUM
ejpam-3735	662	15	)	)	PUNCT
ejpam-3735	662	16	,	,	PUNCT
ejpam-3735	662	17	let	let	VERB
ejpam-3735	662	18	τ	τ	PROPN
ejpam-3735	662	19	be	be	AUX
ejpam-3735	662	20	a	a	DET
ejpam-3735	662	21	pseudo	pseudo	NOUN
ejpam-3735	662	22	-	-	NOUN
ejpam-3735	662	23	atom	atom	NOUN
ejpam-3735	662	24	of	of	ADP
ejpam-3735	662	25	e.	e.	PROPN
ejpam-3735	662	26	then	then	ADV
ejpam-3735	662	27	τ	τ	PROPN
ejpam-3735	662	28	•	•	PROPN
ejpam-3735	662	29	a	a	PROPN
ejpam-3735	662	30	and	and	CCONJ
ejpam-3735	662	31	τ	τ	PROPN
ejpam-3735	662	32	?	?	PUNCT
ejpam-3735	663	1	a	a	PRON
ejpam-3735	663	2	are	be	AUX
ejpam-3735	663	3	pseudo	pseudo	NOUN
ejpam-3735	663	4	-	-	NOUN
ejpam-3735	663	5	atoms	atom	NOUN
ejpam-3735	663	6	,	,	PUNCT
ejpam-3735	663	7	for	for	ADP
ejpam-3735	663	8	all	all	DET
ejpam-3735	663	9	a	a	DET
ejpam-3735	663	10	∈	∈	PROPN
ejpam-3735	663	11	e.	e.	NOUN
ejpam-3735	663	12	hence	hence	ADV
ejpam-3735	663	13	lp(e	lp(e	PUNCT
ejpam-3735	663	14	)	)	PUNCT
ejpam-3735	663	15	is	be	AUX
ejpam-3735	663	16	a	a	DET
ejpam-3735	663	17	pseudo	pseudo	NOUN
ejpam-3735	663	18	-	-	NOUN
ejpam-3735	663	19	subalgebra	subalgebra	NOUN
ejpam-3735	663	20	of	of	ADP
ejpam-3735	663	21	e.	e.	PROPN
ejpam-3735	663	22	proof	proof	PROPN
ejpam-3735	663	23	.	.	PUNCT
ejpam-3735	664	1	for	for	ADP
ejpam-3735	664	2	a	a	DET
ejpam-3735	664	3	,	,	PUNCT
ejpam-3735	664	4	b	b	PROPN
ejpam-3735	664	5	∈	∈	PROPN
ejpam-3735	664	6	e	e	NOUN
ejpam-3735	664	7	,	,	PUNCT
ejpam-3735	664	8	let	let	VERB
ejpam-3735	664	9	b	b	NOUN
ejpam-3735	664	10	≤	≤	X
ejpam-3735	664	11	τ	τ	PROPN
ejpam-3735	664	12	•	•	NOUN
ejpam-3735	664	13	a	a	PRON
ejpam-3735	664	14	and	and	CCONJ
ejpam-3735	664	15	b	b	NOUN
ejpam-3735	664	16	≤	≤	X
ejpam-3735	664	17	τ	τ	X
ejpam-3735	664	18	?	?	PUNCT
ejpam-3735	665	1	a	a	DET
ejpam-3735	665	2	then	then	ADV
ejpam-3735	665	3	b	b	NOUN
ejpam-3735	665	4	?	?	PUNCT
ejpam-3735	666	1	(	(	PUNCT
ejpam-3735	666	2	τ	τ	PROPN
ejpam-3735	666	3	•	•	NUM
ejpam-3735	666	4	a	a	PRON
ejpam-3735	666	5	)	)	PUNCT
ejpam-3735	666	6	=	=	SYM
ejpam-3735	666	7	0	0	NUM
ejpam-3735	667	1	and	and	CCONJ
ejpam-3735	667	2	b	b	NUM
ejpam-3735	667	3	•	•	NOUN
ejpam-3735	667	4	(	(	PUNCT
ejpam-3735	667	5	τ	τ	X
ejpam-3735	667	6	?	?	PUNCT
ejpam-3735	668	1	a	a	X
ejpam-3735	668	2	)	)	PUNCT
ejpam-3735	668	3	=	=	SYM
ejpam-3735	668	4	0	0	X
ejpam-3735	668	5	.	.	X
ejpam-3735	669	1	multiplying	multiply	VERB
ejpam-3735	669	2	by	by	ADP
ejpam-3735	669	3	”	"	PUNCT
ejpam-3735	669	4	b	b	NOUN
ejpam-3735	669	5	”	"	PUNCT
ejpam-3735	669	6	from	from	ADP
ejpam-3735	669	7	the	the	DET
ejpam-3735	669	8	right	right	NOUN
ejpam-3735	669	9	we	we	PRON
ejpam-3735	669	10	have	have	VERB
ejpam-3735	669	11	(	(	PUNCT
ejpam-3735	669	12	τ	τ	PROPN
ejpam-3735	669	13	•	•	NUM
ejpam-3735	669	14	a	a	NOUN
ejpam-3735	669	15	)	)	PUNCT
ejpam-3735	669	16	?	?	PUNCT
ejpam-3735	670	1	b	b	X
ejpam-3735	671	1	=	=	NOUN
ejpam-3735	671	2	0	0	NUM
ejpam-3735	671	3	?	?	PUNCT
ejpam-3735	672	1	(	(	PUNCT
ejpam-3735	672	2	0	0	NUM
ejpam-3735	672	3	•	•	NOUN
ejpam-3735	672	4	[	[	X
ejpam-3735	672	5	(	(	PUNCT
ejpam-3735	672	6	τ	τ	PROPN
ejpam-3735	672	7	•	•	NUM
ejpam-3735	672	8	a	a	NOUN
ejpam-3735	672	9	)	)	PUNCT
ejpam-3735	672	10	?	?	PUNCT
ejpam-3735	673	1	b	b	X
ejpam-3735	673	2	]	]	PUNCT
ejpam-3735	673	3	)	)	PUNCT
ejpam-3735	673	4	and	and	CCONJ
ejpam-3735	673	5	(	(	PUNCT
ejpam-3735	673	6	τ	τ	X
ejpam-3735	673	7	?	?	PUNCT
ejpam-3735	674	1	a	a	X
ejpam-3735	674	2	)	)	PUNCT
ejpam-3735	674	3	•	•	NUM
ejpam-3735	674	4	b	b	X
ejpam-3735	674	5	=	=	NOUN
ejpam-3735	674	6	0•(0?[(τ	0•(0?[(τ	NOUN
ejpam-3735	674	7	?	?	PUNCT
ejpam-3735	675	1	a)•b	a)•b	PROPN
ejpam-3735	675	2	]	]	PUNCT
ejpam-3735	675	3	)	)	PUNCT
ejpam-3735	675	4	from	from	ADP
ejpam-3735	675	5	(	(	PUNCT
ejpam-3735	675	6	theorem	theorem	ADJ
ejpam-3735	675	7	8	8	NUM
ejpam-3735	675	8	(	(	PUNCT
ejpam-3735	675	9	7	7	NUM
ejpam-3735	675	10	)	)	PUNCT
ejpam-3735	675	11	)	)	PUNCT
ejpam-3735	675	12	.	.	PUNCT
ejpam-3735	676	1	by	by	ADP
ejpam-3735	676	2	(	(	PUNCT
ejpam-3735	676	3	pbf	pbf	NOUN
ejpam-3735	676	4	(	(	PUNCT
ejpam-3735	676	5	3	3	NUM
ejpam-3735	676	6	)	)	PUNCT
ejpam-3735	676	7	)	)	PUNCT
ejpam-3735	676	8	we	we	PRON
ejpam-3735	676	9	get	get	VERB
ejpam-3735	676	10	0?(0•[(τ•a)?b	0?(0•[(τ•a)?b	NOUN
ejpam-3735	676	11	]	]	X
ejpam-3735	676	12	)	)	PUNCT
ejpam-3735	676	13	=	=	SYM
ejpam-3735	677	1	0?[b?(τ•a	0?[b?(τ•a	NUM
ejpam-3735	677	2	)	)	PUNCT
ejpam-3735	677	3	]	]	PUNCT
ejpam-3735	677	4	and	and	CCONJ
ejpam-3735	677	5	0•(0	0•(0	ADJ
ejpam-3735	677	6	?	?	PUNCT
ejpam-3735	678	1	[	[	X
ejpam-3735	678	2	(	(	PUNCT
ejpam-3735	678	3	τ	τ	X
ejpam-3735	678	4	?	?	PUNCT
ejpam-3735	678	5	a)•b	a)•b	PROPN
ejpam-3735	678	6	]	]	X
ejpam-3735	678	7	)	)	PUNCT
ejpam-3735	678	8	=	=	SYM
ejpam-3735	678	9	0•	0•	X
ejpam-3735	679	1	[	[	X
ejpam-3735	679	2	b•(τ	b•(τ	PROPN
ejpam-3735	679	3	?	?	PUNCT
ejpam-3735	679	4	a	a	X
ejpam-3735	679	5	)	)	PUNCT
ejpam-3735	679	6	]	]	PUNCT
ejpam-3735	679	7	.	.	PUNCT
ejpam-3735	680	1	by	by	ADP
ejpam-3735	680	2	the	the	DET
ejpam-3735	680	3	hypothesis	hypothesis	NOUN
ejpam-3735	680	4	(	(	PUNCT
ejpam-3735	680	5	b?(τ	b?(τ	NOUN
ejpam-3735	680	6	•a	•a	ADJ
ejpam-3735	680	7	)	)	PUNCT
ejpam-3735	680	8	=	=	SYM
ejpam-3735	680	9	0	0	NUM
ejpam-3735	680	10	and	and	CCONJ
ejpam-3735	680	11	b•(τ	b•(τ	PROPN
ejpam-3735	680	12	?	?	PUNCT
ejpam-3735	680	13	a	a	X
ejpam-3735	680	14	)	)	PUNCT
ejpam-3735	680	15	=	=	SYM
ejpam-3735	680	16	0	0	NUM
ejpam-3735	680	17	)	)	PUNCT
ejpam-3735	680	18	and	and	CCONJ
ejpam-3735	680	19	(	(	PUNCT
ejpam-3735	680	20	bf	bf	NOUN
ejpam-3735	680	21	(	(	PUNCT
ejpam-3735	680	22	1	1	NUM
ejpam-3735	680	23	)	)	PUNCT
ejpam-3735	680	24	)	)	PUNCT
ejpam-3735	680	25	we	we	PRON
ejpam-3735	680	26	have	have	VERB
ejpam-3735	680	27	0	0	NUM
ejpam-3735	680	28	?	?	PUNCT
ejpam-3735	681	1	[	[	X
ejpam-3735	681	2	b	b	X
ejpam-3735	681	3	?	?	PUNCT
ejpam-3735	682	1	(	(	PUNCT
ejpam-3735	682	2	τ	τ	PROPN
ejpam-3735	682	3	•	•	NUM
ejpam-3735	682	4	a	a	PRON
ejpam-3735	682	5	)	)	PUNCT
ejpam-3735	682	6	]	]	PUNCT
ejpam-3735	683	1	=	=	PUNCT
ejpam-3735	683	2	0	0	NUM
ejpam-3735	683	3	?	?	SYM
ejpam-3735	683	4	0	0	PUNCT
ejpam-3735	684	1	=	=	SYM
ejpam-3735	684	2	0	0	NUM
ejpam-3735	684	3	and	and	CCONJ
ejpam-3735	684	4	0	0	NUM
ejpam-3735	684	5	•	•	NOUN
ejpam-3735	685	1	[	[	X
ejpam-3735	685	2	b	b	X
ejpam-3735	685	3	•	•	VERB
ejpam-3735	685	4	(	(	PUNCT
ejpam-3735	685	5	τ	τ	X
ejpam-3735	685	6	?	?	PUNCT
ejpam-3735	686	1	a	a	X
ejpam-3735	686	2	)	)	PUNCT
ejpam-3735	686	3	]	]	PUNCT
ejpam-3735	687	1	=	=	PUNCT
ejpam-3735	687	2	0	0	NUM
ejpam-3735	688	1	•	•	NOUN
ejpam-3735	688	2	0	0	NUM
ejpam-3735	689	1	=	=	SYM
ejpam-3735	689	2	0	0	PROPN
ejpam-3735	689	3	.	.	PUNCT
ejpam-3735	690	1	then	then	ADV
ejpam-3735	690	2	τ	τ	PROPN
ejpam-3735	690	3	•	•	NOUN
ejpam-3735	690	4	a	a	DET
ejpam-3735	690	5	≤	≤	NUM
ejpam-3735	690	6	b	b	NOUN
ejpam-3735	690	7	and	and	CCONJ
ejpam-3735	690	8	τ	τ	PROPN
ejpam-3735	690	9	?	?	PUNCT
ejpam-3735	691	1	a	a	DET
ejpam-3735	691	2	≤	≤	PROPN
ejpam-3735	691	3	b	b	NOUN
ejpam-3735	691	4	and	and	CCONJ
ejpam-3735	691	5	so	so	ADV
ejpam-3735	691	6	b	b	X
ejpam-3735	691	7	=	=	SYM
ejpam-3735	691	8	τ	τ	PROPN
ejpam-3735	691	9	•	•	NUM
ejpam-3735	691	10	a	a	PRON
ejpam-3735	691	11	and	and	CCONJ
ejpam-3735	691	12	b	b	X
ejpam-3735	691	13	=	=	SYM
ejpam-3735	691	14	τ	τ	PROPN
ejpam-3735	691	15	?	?	PUNCT
ejpam-3735	692	1	a	a	X
ejpam-3735	692	2	,	,	PUNCT
ejpam-3735	692	3	thus	thus	ADV
ejpam-3735	692	4	τ	τ	X
ejpam-3735	692	5	•	•	NOUN
ejpam-3735	692	6	a	a	NOUN
ejpam-3735	692	7	and	and	CCONJ
ejpam-3735	692	8	τ	τ	PROPN
ejpam-3735	692	9	?	?	PUNCT
ejpam-3735	693	1	a	a	PRON
ejpam-3735	693	2	are	be	AUX
ejpam-3735	693	3	pseudoatoms	pseudoatom	NOUN
ejpam-3735	693	4	.	.	PUNCT
ejpam-3735	694	1	by	by	ADP
ejpam-3735	694	2	(	(	PUNCT
ejpam-3735	694	3	definition	definition	NOUN
ejpam-3735	694	4	10	10	NUM
ejpam-3735	694	5	)	)	PUNCT
ejpam-3735	694	6	we	we	PRON
ejpam-3735	694	7	have	have	AUX
ejpam-3735	694	8	lp(e	lp(e	PUNCT
ejpam-3735	694	9	)	)	PUNCT
ejpam-3735	694	10	is	be	AUX
ejpam-3735	694	11	the	the	DET
ejpam-3735	694	12	set	set	NOUN
ejpam-3735	694	13	of	of	ADP
ejpam-3735	694	14	all	all	DET
ejpam-3735	694	15	pseudo	pseudo	NOUN
ejpam-3735	694	16	-	-	NOUN
ejpam-3735	694	17	atoms	atom	NOUN
ejpam-3735	694	18	of	of	ADP
ejpam-3735	694	19	e	e	NOUN
ejpam-3735	694	20	then	then	ADV
ejpam-3735	694	21	τ	τ	PROPN
ejpam-3735	694	22	•	•	NOUN
ejpam-3735	694	23	a	a	PROPN
ejpam-3735	694	24	and	and	CCONJ
ejpam-3735	694	25	τ	τ	PROPN
ejpam-3735	694	26	?	?	PUNCT
ejpam-3735	695	1	a	a	DET
ejpam-3735	695	2	∈	∈	PROPN
ejpam-3735	695	3	l(e	l(e	NOUN
ejpam-3735	695	4	)	)	PUNCT
ejpam-3735	695	5	.	.	PUNCT
ejpam-3735	696	1	therefore	therefore	ADV
ejpam-3735	696	2	lp(e	lp(e	PUNCT
ejpam-3735	696	3	)	)	PUNCT
ejpam-3735	696	4	is	be	AUX
ejpam-3735	696	5	a	a	DET
ejpam-3735	696	6	pseudo	pseudo	NOUN
ejpam-3735	696	7	-	-	NOUN
ejpam-3735	696	8	subalgebra	subalgebra	NOUN
ejpam-3735	696	9	of	of	ADP
ejpam-3735	696	10	e.	e.	PROPN
ejpam-3735	696	11	h.	h.	PROPN
ejpam-3735	696	12	m.	m.	PROPN
ejpam-3735	697	1	al	al	PROPN
ejpam-3735	697	2	-	-	PUNCT
ejpam-3735	697	3	malki	malki	PROPN
ejpam-3735	697	4	,	,	PUNCT
ejpam-3735	697	5	d.	d.	PROPN
ejpam-3735	697	6	s.	s.	PROPN
ejpam-3735	697	7	al	al	PROPN
ejpam-3735	697	8	-	-	PUNCT
ejpam-3735	697	9	kadi	kadi	PROPN
ejpam-3735	697	10	/	/	SYM
ejpam-3735	697	11	eur	eur	PROPN
ejpam-3735	697	12	.	.	PUNCT
ejpam-3735	698	1	j.	j.	PROPN
ejpam-3735	698	2	pure	pure	PROPN
ejpam-3735	698	3	appl	appl	PROPN
ejpam-3735	698	4	.	.	PROPN
ejpam-3735	698	5	math	math	PROPN
ejpam-3735	698	6	,	,	PUNCT
ejpam-3735	698	7	13	13	NUM
ejpam-3735	698	8	(	(	PUNCT
ejpam-3735	698	9	3	3	NUM
ejpam-3735	698	10	)	)	PUNCT
ejpam-3735	698	11	(	(	PUNCT
ejpam-3735	698	12	2020	2020	NUM
ejpam-3735	698	13	)	)	PUNCT
ejpam-3735	698	14	,	,	PUNCT
ejpam-3735	698	15	498	498	NUM
ejpam-3735	698	16	-	-	SYM
ejpam-3735	698	17	512	512	NUM
ejpam-3735	698	18	509	509	NUM
ejpam-3735	698	19	corollary	corollary	ADJ
ejpam-3735	698	20	4	4	NUM
ejpam-3735	698	21	.	.	PUNCT
ejpam-3735	699	1	if	if	SCONJ
ejpam-3735	699	2	pseudo	pseudo	NOUN
ejpam-3735	699	3	-	-	NOUN
ejpam-3735	699	4	bf	bf	ADJ
ejpam-3735	699	5	-algebra	-algebra	NOUN
ejpam-3735	699	6	(	(	PUNCT
ejpam-3735	699	7	e	e	NOUN
ejpam-3735	699	8	;	;	PUNCT
ejpam-3735	699	9	•	•	NUM
ejpam-3735	699	10	,	,	PUNCT
ejpam-3735	699	11	?	?	PUNCT
ejpam-3735	699	12	,	,	PUNCT
ejpam-3735	699	13	0	0	X
ejpam-3735	699	14	)	)	PUNCT
ejpam-3735	699	15	is	be	AUX
ejpam-3735	699	16	generated	generate	VERB
ejpam-3735	699	17	by	by	ADP
ejpam-3735	699	18	an	an	DET
ejpam-3735	699	19	element	element	NOUN
ejpam-3735	699	20	g	g	PROPN
ejpam-3735	699	21	then	then	ADV
ejpam-3735	699	22	g	g	PROPN
ejpam-3735	699	23	is	be	AUX
ejpam-3735	699	24	a	a	DET
ejpam-3735	699	25	pseudo	pseudo	NOUN
ejpam-3735	699	26	-	-	NOUN
ejpam-3735	699	27	atom	atom	NOUN
ejpam-3735	699	28	.	.	PUNCT
ejpam-3735	700	1	proof	proof	NOUN
ejpam-3735	700	2	.	.	PUNCT
ejpam-3735	701	1	for	for	ADP
ejpam-3735	701	2	g	g	PROPN
ejpam-3735	701	3	∈	∈	PROPN
ejpam-3735	701	4	e	e	NOUN
ejpam-3735	701	5	,	,	PUNCT
ejpam-3735	701	6	suppose	suppose	VERB
ejpam-3735	701	7	that	that	SCONJ
ejpam-3735	701	8	g	g	PROPN
ejpam-3735	701	9	generates	generate	VERB
ejpam-3735	701	10	e	e	NOUN
ejpam-3735	701	11	and	and	CCONJ
ejpam-3735	701	12	let	let	VERB
ejpam-3735	701	13	τ	τ	PROPN
ejpam-3735	701	14	be	be	AUX
ejpam-3735	701	15	a	a	DET
ejpam-3735	701	16	pseudo	pseudo	NOUN
ejpam-3735	701	17	-	-	NOUN
ejpam-3735	701	18	atom	atom	NOUN
ejpam-3735	701	19	of	of	ADP
ejpam-3735	701	20	e.	e.	PROPN
ejpam-3735	701	21	thus	thus	ADV
ejpam-3735	701	22	we	we	PRON
ejpam-3735	701	23	have	have	VERB
ejpam-3735	701	24	g	g	NOUN
ejpam-3735	701	25	≤	≤	NUM
ejpam-3735	701	26	τ	τ	PROPN
ejpam-3735	701	27	.	.	PUNCT
ejpam-3735	702	1	then	then	ADV
ejpam-3735	702	2	g	g	PROPN
ejpam-3735	702	3	•	•	PROPN
ejpam-3735	702	4	τ	τ	PROPN
ejpam-3735	702	5	=	=	SYM
ejpam-3735	702	6	0	0	NUM
ejpam-3735	702	7	and	and	CCONJ
ejpam-3735	702	8	g	g	NOUN
ejpam-3735	702	9	?	?	PUNCT
ejpam-3735	703	1	τ	τ	X
ejpam-3735	703	2	=	=	SYM
ejpam-3735	704	1	0	0	X
ejpam-3735	704	2	.	.	PUNCT
ejpam-3735	705	1	by	by	ADP
ejpam-3735	705	2	(	(	PUNCT
ejpam-3735	705	3	corollary	corollary	ADJ
ejpam-3735	705	4	2	2	NUM
ejpam-3735	705	5	)	)	PUNCT
ejpam-3735	705	6	we	we	PRON
ejpam-3735	705	7	get	get	VERB
ejpam-3735	705	8	τ	τ	PROPN
ejpam-3735	705	9	•	•	NOUN
ejpam-3735	705	10	g	g	NOUN
ejpam-3735	705	11	=	=	SYM
ejpam-3735	705	12	0	0	PROPN
ejpam-3735	705	13	and	and	CCONJ
ejpam-3735	705	14	τ	τ	PROPN
ejpam-3735	705	15	?	?	PUNCT
ejpam-3735	706	1	g	g	NOUN
ejpam-3735	706	2	=	=	NOUN
ejpam-3735	706	3	0	0	PROPN
ejpam-3735	706	4	.	.	PUNCT
ejpam-3735	707	1	therefore	therefore	ADV
ejpam-3735	707	2	τ	τ	X
ejpam-3735	707	3	≤	≤	PROPN
ejpam-3735	707	4	g	g	NOUN
ejpam-3735	708	1	and	and	CCONJ
ejpam-3735	708	2	so	so	ADV
ejpam-3735	708	3	τ	τ	PROPN
ejpam-3735	708	4	=	=	PUNCT
ejpam-3735	708	5	g.	g.	PROPN
ejpam-3735	708	6	hence	hence	ADV
ejpam-3735	708	7	g	g	PROPN
ejpam-3735	708	8	is	be	AUX
ejpam-3735	708	9	a	a	DET
ejpam-3735	708	10	pseudo	pseudo	NOUN
ejpam-3735	708	11	-	-	NOUN
ejpam-3735	708	12	atom	atom	NOUN
ejpam-3735	708	13	.	.	PUNCT
ejpam-3735	709	1	proposition	proposition	NOUN
ejpam-3735	709	2	9	9	NUM
ejpam-3735	709	3	.	.	PUNCT
ejpam-3735	710	1	in	in	ADP
ejpam-3735	710	2	a	a	DET
ejpam-3735	710	3	pseudo	pseudo	NOUN
ejpam-3735	710	4	-	-	NOUN
ejpam-3735	710	5	bf	bf	NOUN
ejpam-3735	710	6	-algebra	-algebra	NOUN
ejpam-3735	710	7	(	(	PUNCT
ejpam-3735	710	8	e	e	NOUN
ejpam-3735	710	9	;	;	PUNCT
ejpam-3735	710	10	•	•	NUM
ejpam-3735	710	11	,	,	PUNCT
ejpam-3735	710	12	?	?	PUNCT
ejpam-3735	710	13	,	,	PUNCT
ejpam-3735	710	14	0	0	NUM
ejpam-3735	710	15	)	)	PUNCT
ejpam-3735	710	16	,	,	PUNCT
ejpam-3735	710	17	let	let	VERB
ejpam-3735	710	18	τ	τ	PROPN
ejpam-3735	710	19	∈	∈	PROPN
ejpam-3735	710	20	e.	e.	PROPN
ejpam-3735	710	21	if	if	SCONJ
ejpam-3735	710	22	{	{	PUNCT
ejpam-3735	710	23	0	0	NUM
ejpam-3735	710	24	,	,	PUNCT
ejpam-3735	710	25	τ	τ	PROPN
ejpam-3735	710	26	}	}	PUNCT
ejpam-3735	710	27	is	be	AUX
ejpam-3735	710	28	a	a	DET
ejpam-3735	710	29	pseudo	pseudo	NOUN
ejpam-3735	710	30	-	-	NOUN
ejpam-3735	710	31	ideal	ideal	NOUN
ejpam-3735	710	32	then	then	ADV
ejpam-3735	710	33	0	0	NUM
ejpam-3735	710	34	6=	6=	NUM
ejpam-3735	710	35	τ	τ	PROPN
ejpam-3735	710	36	is	be	AUX
ejpam-3735	710	37	a	a	DET
ejpam-3735	710	38	pseudo	pseudo	NOUN
ejpam-3735	710	39	-	-	NOUN
ejpam-3735	710	40	atom	atom	NOUN
ejpam-3735	710	41	.	.	PUNCT
ejpam-3735	711	1	proof	proof	NOUN
ejpam-3735	711	2	.	.	PUNCT
ejpam-3735	712	1	let	let	AUX
ejpam-3735	712	2	{	{	PUNCT
ejpam-3735	712	3	0	0	NUM
ejpam-3735	712	4	,	,	PUNCT
ejpam-3735	712	5	τ	τ	PROPN
ejpam-3735	712	6	}	}	PUNCT
ejpam-3735	712	7	be	be	AUX
ejpam-3735	712	8	a	a	DET
ejpam-3735	712	9	pseudo	pseudo	NOUN
ejpam-3735	712	10	-	-	NOUN
ejpam-3735	712	11	ideal	ideal	NOUN
ejpam-3735	712	12	of	of	ADP
ejpam-3735	712	13	e	e	PROPN
ejpam-3735	712	14	and	and	CCONJ
ejpam-3735	712	15	for	for	ADP
ejpam-3735	712	16	all	all	DET
ejpam-3735	712	17	a	a	DET
ejpam-3735	712	18	∈	∈	NOUN
ejpam-3735	712	19	e	e	NOUN
ejpam-3735	712	20	let	let	VERB
ejpam-3735	712	21	a	a	DET
ejpam-3735	712	22	≤	≤	ADJ
ejpam-3735	712	23	τ	τ	PUNCT
ejpam-3735	712	24	we	we	PRON
ejpam-3735	712	25	have	have	VERB
ejpam-3735	712	26	a	a	DET
ejpam-3735	712	27	•	•	NOUN
ejpam-3735	712	28	τ	τ	X
ejpam-3735	712	29	=	=	PUNCT
ejpam-3735	712	30	a	a	PROPN
ejpam-3735	712	31	?	?	PUNCT
ejpam-3735	713	1	τ	τ	X
ejpam-3735	713	2	=	=	SYM
ejpam-3735	713	3	0	0	SYM
ejpam-3735	713	4	∈	∈	PROPN
ejpam-3735	713	5	{	{	PUNCT
ejpam-3735	713	6	0	0	NUM
ejpam-3735	713	7	,	,	PUNCT
ejpam-3735	713	8	τ	τ	PROPN
ejpam-3735	713	9	}	}	PUNCT
ejpam-3735	713	10	from	from	ADP
ejpam-3735	713	11	(	(	PUNCT
ejpam-3735	713	12	pi1	pi1	NOUN
ejpam-3735	713	13	)	)	PUNCT
ejpam-3735	713	14	.	.	PUNCT
ejpam-3735	714	1	by	by	ADP
ejpam-3735	714	2	(	(	PUNCT
ejpam-3735	714	3	pi2	pi2	NOUN
ejpam-3735	714	4	)	)	PUNCT
ejpam-3735	714	5	we	we	PRON
ejpam-3735	714	6	have	have	VERB
ejpam-3735	714	7	a	a	DET
ejpam-3735	714	8	∈	∈	PROPN
ejpam-3735	714	9	{	{	PUNCT
ejpam-3735	714	10	0	0	NUM
ejpam-3735	714	11	,	,	PUNCT
ejpam-3735	714	12	τ	τ	PROPN
ejpam-3735	714	13	}	}	PUNCT
ejpam-3735	714	14	,	,	PUNCT
ejpam-3735	714	15	then	then	ADV
ejpam-3735	714	16	a	a	DET
ejpam-3735	714	17	=	=	SYM
ejpam-3735	714	18	0	0	NUM
ejpam-3735	714	19	or	or	CCONJ
ejpam-3735	714	20	a	a	DET
ejpam-3735	714	21	=	=	SYM
ejpam-3735	714	22	τ	τ	PROPN
ejpam-3735	714	23	.	.	PUNCT
ejpam-3735	715	1	since	since	SCONJ
ejpam-3735	715	2	τ	τ	PROPN
ejpam-3735	715	3	6=	6=	ADP
ejpam-3735	715	4	0	0	NUM
ejpam-3735	715	5	and	and	CCONJ
ejpam-3735	715	6	(	(	PUNCT
ejpam-3735	715	7	pbf	pbf	PROPN
ejpam-3735	715	8	(	(	PUNCT
ejpam-3735	715	9	1	1	NUM
ejpam-3735	715	10	)	)	PUNCT
ejpam-3735	715	11	)	)	PUNCT
ejpam-3735	715	12	,	,	PUNCT
ejpam-3735	715	13	we	we	PRON
ejpam-3735	715	14	get	get	VERB
ejpam-3735	715	15	a	a	DET
ejpam-3735	715	16	=	=	SYM
ejpam-3735	715	17	τ	τ	X
ejpam-3735	715	18	.	.	PUNCT
ejpam-3735	716	1	thus	thus	ADV
ejpam-3735	716	2	τ	τ	PROPN
ejpam-3735	716	3	is	be	AUX
ejpam-3735	716	4	a	a	DET
ejpam-3735	716	5	pseudo	pseudo	NOUN
ejpam-3735	716	6	-	-	NOUN
ejpam-3735	716	7	atom	atom	NOUN
ejpam-3735	716	8	of	of	ADP
ejpam-3735	716	9	e.	e.	PROPN
ejpam-3735	716	10	proposition	proposition	PROPN
ejpam-3735	716	11	10	10	NUM
ejpam-3735	716	12	.	.	PUNCT
ejpam-3735	717	1	in	in	ADP
ejpam-3735	717	2	a	a	DET
ejpam-3735	717	3	pseudo	pseudo	NOUN
ejpam-3735	717	4	-	-	NOUN
ejpam-3735	717	5	bf	bf	NOUN
ejpam-3735	717	6	∗-algebra	∗-algebra	NOUN
ejpam-3735	717	7	(	(	PUNCT
ejpam-3735	717	8	e	e	NOUN
ejpam-3735	717	9	;	;	PUNCT
ejpam-3735	717	10	•	•	NUM
ejpam-3735	717	11	,	,	PUNCT
ejpam-3735	717	12	?	?	PUNCT
ejpam-3735	717	13	,	,	PUNCT
ejpam-3735	717	14	0	0	NUM
ejpam-3735	717	15	)	)	PUNCT
ejpam-3735	717	16	,	,	PUNCT
ejpam-3735	717	17	if	if	SCONJ
ejpam-3735	717	18	a	a	DET
ejpam-3735	717	19	non	non	ADJ
ejpam-3735	717	20	-	-	ADJ
ejpam-3735	717	21	zero	zero	NUM
ejpam-3735	717	22	element	element	NOUN
ejpam-3735	717	23	is	be	AUX
ejpam-3735	717	24	a	a	DET
ejpam-3735	717	25	pseudoatom	pseudoatom	NOUN
ejpam-3735	717	26	of	of	ADP
ejpam-3735	717	27	e	e	NOUN
ejpam-3735	717	28	,	,	PUNCT
ejpam-3735	717	29	then	then	ADV
ejpam-3735	717	30	any	any	DET
ejpam-3735	717	31	pseudo	pseudo	NOUN
ejpam-3735	717	32	-	-	NOUN
ejpam-3735	717	33	subalgebra	subalgebra	NOUN
ejpam-3735	717	34	is	be	AUX
ejpam-3735	717	35	a	a	DET
ejpam-3735	717	36	pseudo	pseudo	NOUN
ejpam-3735	717	37	-	-	NOUN
ejpam-3735	717	38	ideal	ideal	ADJ
ejpam-3735	717	39	.	.	PUNCT
ejpam-3735	718	1	proof	proof	NOUN
ejpam-3735	718	2	.	.	PUNCT
ejpam-3735	719	1	we	we	PRON
ejpam-3735	719	2	prove	prove	VERB
ejpam-3735	719	3	(	(	PUNCT
ejpam-3735	719	4	pi1	pi1	NOUN
ejpam-3735	719	5	)	)	PUNCT
ejpam-3735	719	6	and	and	CCONJ
ejpam-3735	719	7	(	(	PUNCT
ejpam-3735	719	8	pi2	pi2	NOUN
ejpam-3735	719	9	)	)	PUNCT
ejpam-3735	719	10	.	.	PUNCT
ejpam-3735	720	1	let	let	VERB
ejpam-3735	720	2	s	s	PRON
ejpam-3735	720	3	be	be	AUX
ejpam-3735	720	4	a	a	DET
ejpam-3735	720	5	pseudo	pseudo	NOUN
ejpam-3735	720	6	-	-	NOUN
ejpam-3735	720	7	subalgebra	subalgebra	NOUN
ejpam-3735	720	8	of	of	ADP
ejpam-3735	720	9	e	e	NOUN
ejpam-3735	720	10	,	,	PUNCT
ejpam-3735	720	11	then	then	ADV
ejpam-3735	720	12	0	0	NUM
ejpam-3735	720	13	∈	∈	NOUN
ejpam-3735	720	14	s	s	VERB
ejpam-3735	720	15	from	from	ADP
ejpam-3735	720	16	(	(	PUNCT
ejpam-3735	720	17	definition	definition	NOUN
ejpam-3735	720	18	7	7	NUM
ejpam-3735	720	19	)	)	PUNCT
ejpam-3735	720	20	.	.	PUNCT
ejpam-3735	721	1	for	for	ADP
ejpam-3735	721	2	(	(	PUNCT
ejpam-3735	721	3	pi2	pi2	NOUN
ejpam-3735	721	4	)	)	PUNCT
ejpam-3735	721	5	,	,	PUNCT
ejpam-3735	721	6	let	let	VERB
ejpam-3735	721	7	b	b	X
ejpam-3735	721	8	•	•	ADP
ejpam-3735	721	9	a	a	DET
ejpam-3735	721	10	,	,	PUNCT
ejpam-3735	721	11	b	b	NOUN
ejpam-3735	721	12	?	?	PUNCT
ejpam-3735	722	1	a	a	DET
ejpam-3735	722	2	∈	∈	PROPN
ejpam-3735	722	3	s	s	NOUN
ejpam-3735	722	4	and	and	CCONJ
ejpam-3735	722	5	a	a	DET
ejpam-3735	722	6	∈	∈	NOUN
ejpam-3735	722	7	s.	s.	PROPN
ejpam-3735	722	8	by	by	ADP
ejpam-3735	722	9	(	(	PUNCT
ejpam-3735	722	10	theorem	theorem	ADJ
ejpam-3735	722	11	8	8	NUM
ejpam-3735	722	12	(	(	PUNCT
ejpam-3735	722	13	2	2	NUM
ejpam-3735	722	14	)	)	PUNCT
ejpam-3735	722	15	and	and	CCONJ
ejpam-3735	722	16	(	(	PUNCT
ejpam-3735	722	17	5	5	NUM
ejpam-3735	722	18	)	)	PUNCT
ejpam-3735	722	19	,	,	PUNCT
ejpam-3735	722	20	respectively	respectively	ADV
ejpam-3735	722	21	)	)	PUNCT
ejpam-3735	722	22	we	we	PRON
ejpam-3735	722	23	have	have	VERB
ejpam-3735	722	24	b	b	NOUN
ejpam-3735	722	25	=	=	SYM
ejpam-3735	722	26	a	a	PRON
ejpam-3735	722	27	•	•	NOUN
ejpam-3735	722	28	(	(	PUNCT
ejpam-3735	722	29	a	a	PRON
ejpam-3735	722	30	?	?	PUNCT
ejpam-3735	723	1	b	b	X
ejpam-3735	723	2	)	)	PUNCT
ejpam-3735	723	3	=	=	NOUN
ejpam-3735	723	4	a	a	DET
ejpam-3735	723	5	•	•	NOUN
ejpam-3735	724	1	[	[	X
ejpam-3735	724	2	0	0	NUM
ejpam-3735	724	3	•	•	NOUN
ejpam-3735	724	4	(	(	PUNCT
ejpam-3735	724	5	b	b	NOUN
ejpam-3735	724	6	?	?	PUNCT
ejpam-3735	725	1	a	a	X
ejpam-3735	725	2	)	)	PUNCT
ejpam-3735	725	3	]	]	PUNCT
ejpam-3735	725	4	.	.	PUNCT
ejpam-3735	726	1	since	since	SCONJ
ejpam-3735	726	2	0	0	NUM
ejpam-3735	726	3	,	,	PUNCT
ejpam-3735	726	4	b	b	NOUN
ejpam-3735	726	5	?	?	PUNCT
ejpam-3735	727	1	a	a	DET
ejpam-3735	727	2	∈	∈	PROPN
ejpam-3735	727	3	s	s	PART
ejpam-3735	727	4	and	and	CCONJ
ejpam-3735	727	5	s	s	VERB
ejpam-3735	727	6	is	be	AUX
ejpam-3735	727	7	a	a	DET
ejpam-3735	727	8	pseudo	pseudo	NOUN
ejpam-3735	727	9	-	-	NOUN
ejpam-3735	727	10	subalgebra	subalgebra	NOUN
ejpam-3735	727	11	of	of	ADP
ejpam-3735	727	12	e	e	NOUN
ejpam-3735	727	13	,	,	PUNCT
ejpam-3735	727	14	we	we	PRON
ejpam-3735	727	15	obtain	obtain	VERB
ejpam-3735	727	16	0	0	NUM
ejpam-3735	727	17	•	•	NOUN
ejpam-3735	727	18	(	(	PUNCT
ejpam-3735	727	19	b	b	NOUN
ejpam-3735	727	20	?	?	PUNCT
ejpam-3735	728	1	a	a	X
ejpam-3735	728	2	)	)	PUNCT
ejpam-3735	728	3	∈	∈	PROPN
ejpam-3735	728	4	s.	s.	PROPN
ejpam-3735	729	1	so	so	ADV
ejpam-3735	729	2	a	a	DET
ejpam-3735	729	3	•	•	NOUN
ejpam-3735	730	1	[	[	X
ejpam-3735	730	2	0	0	NUM
ejpam-3735	730	3	•	•	NOUN
ejpam-3735	730	4	(	(	PUNCT
ejpam-3735	730	5	b	b	NOUN
ejpam-3735	730	6	?	?	PUNCT
ejpam-3735	731	1	a	a	X
ejpam-3735	731	2	)	)	PUNCT
ejpam-3735	731	3	]	]	PUNCT
ejpam-3735	731	4	∈	∈	PROPN
ejpam-3735	731	5	s.	s.	PROPN
ejpam-3735	731	6	also	also	ADV
ejpam-3735	731	7	,	,	PUNCT
ejpam-3735	731	8	similarly	similarly	ADV
ejpam-3735	731	9	we	we	PRON
ejpam-3735	731	10	can	can	AUX
ejpam-3735	731	11	show	show	VERB
ejpam-3735	731	12	it	it	PRON
ejpam-3735	731	13	if	if	SCONJ
ejpam-3735	731	14	b	b	X
ejpam-3735	731	15	•	•	ADP
ejpam-3735	731	16	a	a	DET
ejpam-3735	731	17	∈	∈	NOUN
ejpam-3735	731	18	s.	s.	PROPN
ejpam-3735	732	1	then	then	ADV
ejpam-3735	732	2	b	b	PROPN
ejpam-3735	732	3	∈	∈	PROPN
ejpam-3735	732	4	s.	s.	PROPN
ejpam-3735	732	5	hence	hence	ADV
ejpam-3735	732	6	the	the	DET
ejpam-3735	732	7	proposition	proposition	NOUN
ejpam-3735	732	8	is	be	AUX
ejpam-3735	732	9	proved	prove	VERB
ejpam-3735	732	10	.	.	PUNCT
ejpam-3735	733	1	for	for	ADP
ejpam-3735	733	2	any	any	DET
ejpam-3735	733	3	pseudo	pseudo	NOUN
ejpam-3735	733	4	-	-	NOUN
ejpam-3735	733	5	bf	bf	ADJ
ejpam-3735	733	6	-algebra	-algebra	NOUN
ejpam-3735	733	7	(	(	PUNCT
ejpam-3735	733	8	e	e	NOUN
ejpam-3735	733	9	;	;	PUNCT
ejpam-3735	733	10	•	•	NUM
ejpam-3735	733	11	,	,	PUNCT
ejpam-3735	733	12	?	?	PUNCT
ejpam-3735	733	13	,	,	PUNCT
ejpam-3735	733	14	0	0	NUM
ejpam-3735	733	15	)	)	PUNCT
ejpam-3735	733	16	,	,	PUNCT
ejpam-3735	733	17	define	define	VERB
ejpam-3735	733	18	the	the	DET
ejpam-3735	733	19	subsets	subset	NOUN
ejpam-3735	733	20	k(e	k(e	PROPN
ejpam-3735	733	21	)	)	PUNCT
ejpam-3735	733	22	,	,	PUNCT
ejpam-3735	733	23	v	v	X
ejpam-3735	733	24	(	(	PUNCT
ejpam-3735	733	25	τ	τ	X
ejpam-3735	733	26	)	)	PUNCT
ejpam-3735	733	27	of	of	ADP
ejpam-3735	733	28	e	e	PROPN
ejpam-3735	733	29	as	as	SCONJ
ejpam-3735	733	30	follows	follow	VERB
ejpam-3735	733	31	:	:	PUNCT
ejpam-3735	733	32	k(e	k(e	PROPN
ejpam-3735	733	33	)	)	PUNCT
ejpam-3735	734	1	=	=	PRON
ejpam-3735	734	2	{	{	PUNCT
ejpam-3735	734	3	a	a	DET
ejpam-3735	734	4	∈	∈	PROPN
ejpam-3735	734	5	e	e	NOUN
ejpam-3735	734	6	:	:	PUNCT
ejpam-3735	734	7	0	0	NUM
ejpam-3735	734	8	≤	≤	ADV
ejpam-3735	734	9	a	a	PRON
ejpam-3735	734	10	}	}	PUNCT
ejpam-3735	734	11	and	and	CCONJ
ejpam-3735	734	12	v	v	NOUN
ejpam-3735	734	13	(	(	PUNCT
ejpam-3735	734	14	τ	τ	X
ejpam-3735	734	15	)	)	PUNCT
ejpam-3735	734	16	=	=	PRON
ejpam-3735	734	17	{	{	PUNCT
ejpam-3735	734	18	a	a	DET
ejpam-3735	734	19	∈	∈	PROPN
ejpam-3735	734	20	e	e	NOUN
ejpam-3735	734	21	:	:	PUNCT
ejpam-3735	735	1	τ	τ	PROPN
ejpam-3735	735	2	≤	≤	PROPN
ejpam-3735	735	3	a	a	PRON
ejpam-3735	735	4	}	}	PUNCT
ejpam-3735	735	5	.	.	PUNCT
ejpam-3735	736	1	theorem	theorem	NOUN
ejpam-3735	736	2	9	9	NUM
ejpam-3735	736	3	.	.	PUNCT
ejpam-3735	737	1	in	in	ADP
ejpam-3735	737	2	a	a	DET
ejpam-3735	737	3	pseudo	pseudo	NOUN
ejpam-3735	737	4	-	-	NOUN
ejpam-3735	737	5	bf	bf	NOUN
ejpam-3735	737	6	∗-algebra	∗-algebra	NOUN
ejpam-3735	737	7	(	(	PUNCT
ejpam-3735	737	8	e	e	NOUN
ejpam-3735	737	9	;	;	PUNCT
ejpam-3735	737	10	•	•	NUM
ejpam-3735	737	11	,	,	PUNCT
ejpam-3735	737	12	?	?	PUNCT
ejpam-3735	737	13	,	,	PUNCT
ejpam-3735	737	14	0	0	X
ejpam-3735	737	15	)	)	PUNCT
ejpam-3735	737	16	if	if	SCONJ
ejpam-3735	737	17	τ	τ	PROPN
ejpam-3735	737	18	and	and	CCONJ
ejpam-3735	737	19	ω	ω	PROPN
ejpam-3735	737	20	is	be	AUX
ejpam-3735	737	21	pseudo	pseudo	NOUN
ejpam-3735	737	22	-	-	NOUN
ejpam-3735	737	23	atoms	atom	NOUN
ejpam-3735	737	24	then	then	ADV
ejpam-3735	737	25	the	the	DET
ejpam-3735	737	26	following	follow	VERB
ejpam-3735	737	27	hold	hold	NOUN
ejpam-3735	737	28	:	:	PUNCT
ejpam-3735	737	29	(	(	PUNCT
ejpam-3735	737	30	1	1	X
ejpam-3735	737	31	)	)	PUNCT
ejpam-3735	737	32	a	a	DET
ejpam-3735	737	33	∈	∈	PROPN
ejpam-3735	737	34	v	v	NOUN
ejpam-3735	737	35	(	(	PUNCT
ejpam-3735	737	36	τ	τ	PROPN
ejpam-3735	737	37	)	)	PUNCT
ejpam-3735	737	38	,	,	PUNCT
ejpam-3735	737	39	b	b	X
ejpam-3735	737	40	∈	∈	PROPN
ejpam-3735	737	41	v	v	ADP
ejpam-3735	737	42	(	(	PUNCT
ejpam-3735	737	43	ω	ω	NOUN
ejpam-3735	737	44	)	)	PUNCT
ejpam-3735	737	45	,	,	PUNCT
ejpam-3735	737	46	imply	imply	VERB
ejpam-3735	737	47	a	a	DET
ejpam-3735	737	48	•	•	NOUN
ejpam-3735	737	49	b	b	NOUN
ejpam-3735	737	50	∈	∈	NOUN
ejpam-3735	737	51	v	v	NOUN
ejpam-3735	737	52	(	(	PUNCT
ejpam-3735	737	53	τ	τ	PROPN
ejpam-3735	737	54	•	•	NUM
ejpam-3735	737	55	ω	ω	NOUN
ejpam-3735	737	56	)	)	PUNCT
ejpam-3735	737	57	and	and	CCONJ
ejpam-3735	737	58	a	a	DET
ejpam-3735	737	59	?	?	PUNCT
ejpam-3735	737	60	b	b	X
ejpam-3735	737	61	∈	∈	ADJ
ejpam-3735	737	62	v	v	NOUN
ejpam-3735	737	63	(	(	PUNCT
ejpam-3735	737	64	τ	τ	PROPN
ejpam-3735	737	65	?	?	PUNCT
ejpam-3735	738	1	ω	ω	X
ejpam-3735	738	2	)	)	PUNCT
ejpam-3735	738	3	,	,	PUNCT
ejpam-3735	738	4	(	(	PUNCT
ejpam-3735	738	5	2	2	X
ejpam-3735	738	6	)	)	PUNCT
ejpam-3735	738	7	a	a	PRON
ejpam-3735	738	8	,	,	PUNCT
ejpam-3735	738	9	b	b	PROPN
ejpam-3735	738	10	∈	∈	PROPN
ejpam-3735	738	11	v	v	NOUN
ejpam-3735	738	12	(	(	PUNCT
ejpam-3735	738	13	τ	τ	PROPN
ejpam-3735	738	14	)	)	PUNCT
ejpam-3735	738	15	,	,	PUNCT
ejpam-3735	738	16	implies	imply	VERB
ejpam-3735	738	17	a	a	DET
ejpam-3735	738	18	?	?	PUNCT
ejpam-3735	738	19	b	b	NOUN
ejpam-3735	738	20	,	,	PUNCT
ejpam-3735	738	21	a	a	DET
ejpam-3735	738	22	•	•	NOUN
ejpam-3735	738	23	b	b	NOUN
ejpam-3735	738	24	∈	∈	PROPN
ejpam-3735	738	25	k(e	k(e	PROPN
ejpam-3735	738	26	)	)	PUNCT
ejpam-3735	738	27	,	,	PUNCT
ejpam-3735	738	28	(	(	PUNCT
ejpam-3735	738	29	3	3	X
ejpam-3735	738	30	)	)	PUNCT
ejpam-3735	738	31	if	if	SCONJ
ejpam-3735	738	32	τ	τ	PROPN
ejpam-3735	738	33	6=	6=	PROPN
ejpam-3735	738	34	ω	ω	PROPN
ejpam-3735	738	35	,	,	PUNCT
ejpam-3735	738	36	then	then	ADV
ejpam-3735	738	37	we	we	PRON
ejpam-3735	738	38	have	have	VERB
ejpam-3735	738	39	a	a	DET
ejpam-3735	738	40	•	•	NOUN
ejpam-3735	738	41	b	b	NOUN
ejpam-3735	738	42	,	,	PUNCT
ejpam-3735	738	43	a	a	PRON
ejpam-3735	739	1	?	?	PUNCT
ejpam-3735	739	2	b	b	X
ejpam-3735	739	3	∈	∈	PROPN
ejpam-3735	739	4	k(e),for	k(e),for	ADP
ejpam-3735	739	5	all	all	DET
ejpam-3735	739	6	a	a	DET
ejpam-3735	739	7	∈	∈	PROPN
ejpam-3735	739	8	v	v	NOUN
ejpam-3735	739	9	(	(	PUNCT
ejpam-3735	739	10	τ	τ	PROPN
ejpam-3735	739	11	)	)	PUNCT
ejpam-3735	739	12	,	,	PUNCT
ejpam-3735	739	13	b	b	X
ejpam-3735	739	14	∈	∈	PROPN
ejpam-3735	739	15	v	v	ADP
ejpam-3735	739	16	(	(	PUNCT
ejpam-3735	739	17	ω	ω	NOUN
ejpam-3735	739	18	)	)	PUNCT
ejpam-3735	739	19	,	,	PUNCT
ejpam-3735	739	20	(	(	PUNCT
ejpam-3735	739	21	4	4	X
ejpam-3735	739	22	)	)	PUNCT
ejpam-3735	739	23	a	a	DET
ejpam-3735	739	24	∈	∈	PROPN
ejpam-3735	739	25	v	v	ADP
ejpam-3735	739	26	(	(	PUNCT
ejpam-3735	739	27	ω	ω	NOUN
ejpam-3735	739	28	)	)	PUNCT
ejpam-3735	739	29	,	,	PUNCT
ejpam-3735	739	30	implies	imply	VERB
ejpam-3735	739	31	τ	τ	PROPN
ejpam-3735	739	32	•	•	NUM
ejpam-3735	739	33	a	a	DET
ejpam-3735	739	34	=	=	SYM
ejpam-3735	739	35	τ	τ	PROPN
ejpam-3735	739	36	•	•	NUM
ejpam-3735	739	37	ω	ω	PROPN
ejpam-3735	739	38	and	and	CCONJ
ejpam-3735	739	39	τ	τ	PROPN
ejpam-3735	739	40	?	?	PUNCT
ejpam-3735	740	1	a	a	PRON
ejpam-3735	740	2	=	=	X
ejpam-3735	740	3	τ	τ	X
ejpam-3735	740	4	?	?	PUNCT
ejpam-3735	741	1	ω	ω	NUM
ejpam-3735	741	2	,	,	PUNCT
ejpam-3735	741	3	(	(	PUNCT
ejpam-3735	741	4	5	5	NUM
ejpam-3735	741	5	)	)	PUNCT
ejpam-3735	741	6	if	if	SCONJ
ejpam-3735	741	7	τ	τ	PROPN
ejpam-3735	741	8	6=	6=	PROPN
ejpam-3735	741	9	ω	ω	PROPN
ejpam-3735	741	10	,	,	PUNCT
ejpam-3735	741	11	then	then	ADV
ejpam-3735	741	12	v	v	X
ejpam-3735	741	13	(	(	PUNCT
ejpam-3735	741	14	τ	τ	NOUN
ejpam-3735	741	15	)	)	PUNCT
ejpam-3735	741	16	∩	∩	ADJ
ejpam-3735	741	17	v	v	X
ejpam-3735	741	18	(	(	PUNCT
ejpam-3735	741	19	ω	ω	NOUN
ejpam-3735	741	20	)	)	PUNCT
ejpam-3735	741	21	=	=	SYM
ejpam-3735	741	22	φ	φ	PROPN
ejpam-3735	741	23	.	.	PUNCT
ejpam-3735	741	24	proof	proof	NOUN
ejpam-3735	741	25	.	.	PUNCT
ejpam-3735	742	1	(	(	PUNCT
ejpam-3735	742	2	1	1	X
ejpam-3735	742	3	)	)	PUNCT
ejpam-3735	742	4	let	let	VERB
ejpam-3735	742	5	a	a	DET
ejpam-3735	742	6	∈	∈	PROPN
ejpam-3735	742	7	v	v	NOUN
ejpam-3735	742	8	(	(	PUNCT
ejpam-3735	742	9	τ	τ	PROPN
ejpam-3735	742	10	)	)	PUNCT
ejpam-3735	742	11	,	,	PUNCT
ejpam-3735	742	12	b	b	X
ejpam-3735	742	13	∈	∈	PROPN
ejpam-3735	742	14	v	v	PROPN
ejpam-3735	742	15	(	(	PUNCT
ejpam-3735	742	16	ω	ω	NOUN
ejpam-3735	742	17	)	)	PUNCT
ejpam-3735	742	18	.	.	PUNCT
ejpam-3735	743	1	then	then	ADV
ejpam-3735	743	2	τ	τ	PROPN
ejpam-3735	743	3	≤	≤	PROPN
ejpam-3735	743	4	a	a	PRON
ejpam-3735	743	5	we	we	PRON
ejpam-3735	743	6	have	have	VERB
ejpam-3735	743	7	τ	τ	PROPN
ejpam-3735	743	8	•	•	NOUN
ejpam-3735	743	9	a	a	PRON
ejpam-3735	743	10	=	=	X
ejpam-3735	743	11	τ	τ	PROPN
ejpam-3735	743	12	?	?	PUNCT
ejpam-3735	744	1	a	a	DET
ejpam-3735	744	2	=	=	NOUN
ejpam-3735	744	3	0	0	NUM
ejpam-3735	744	4	and	and	CCONJ
ejpam-3735	744	5	ω	ω	NUM
ejpam-3735	744	6	≤	≤	PROPN
ejpam-3735	744	7	b	b	NOUN
ejpam-3735	744	8	we	we	PRON
ejpam-3735	744	9	have	have	VERB
ejpam-3735	744	10	ω•b	ω•b	ADJ
ejpam-3735	744	11	=	=	SYM
ejpam-3735	744	12	ω?b	ω?b	PROPN
ejpam-3735	744	13	=	=	SYM
ejpam-3735	744	14	0	0	X
ejpam-3735	744	15	.	.	PUNCT
ejpam-3735	745	1	from	from	ADP
ejpam-3735	745	2	(	(	PUNCT
ejpam-3735	745	3	theorem	theorem	ADJ
ejpam-3735	745	4	8	8	NUM
ejpam-3735	745	5	(	(	PUNCT
ejpam-3735	745	6	7	7	NUM
ejpam-3735	745	7	)	)	PUNCT
ejpam-3735	745	8	)	)	PUNCT
ejpam-3735	745	9	we	we	PRON
ejpam-3735	745	10	obtain	obtain	VERB
ejpam-3735	745	11	(	(	PUNCT
ejpam-3735	745	12	τ•ω)?(a•b	τ•ω)?(a•b	NOUN
ejpam-3735	745	13	)	)	PUNCT
ejpam-3735	745	14	=	=	PUNCT
ejpam-3735	746	1	[	[	X
ejpam-3735	746	2	0•(0?(τ•ω))]?(a•b	0•(0?(τ•ω))]?(a•b	NOUN
ejpam-3735	746	3	)	)	PUNCT
ejpam-3735	746	4	.	.	PUNCT
ejpam-3735	747	1	using	use	VERB
ejpam-3735	747	2	(	(	PUNCT
ejpam-3735	747	3	pbf	pbf	NOUN
ejpam-3735	747	4	∗	∗	NOUN
ejpam-3735	747	5	)	)	PUNCT
ejpam-3735	747	6	,	,	PUNCT
ejpam-3735	748	1	[	[	X
ejpam-3735	748	2	0	0	NUM
ejpam-3735	748	3	•	•	NUM
ejpam-3735	748	4	(	(	PUNCT
ejpam-3735	748	5	0	0	NUM
ejpam-3735	748	6	?	?	PUNCT
ejpam-3735	749	1	(	(	PUNCT
ejpam-3735	749	2	τ	τ	PROPN
ejpam-3735	749	3	•	•	NUM
ejpam-3735	749	4	ω	ω	NOUN
ejpam-3735	749	5	)	)	PUNCT
ejpam-3735	749	6	)	)	PUNCT
ejpam-3735	749	7	]	]	PUNCT
ejpam-3735	749	8	?	?	PUNCT
ejpam-3735	750	1	(	(	PUNCT
ejpam-3735	750	2	a	a	DET
ejpam-3735	750	3	•	•	NUM
ejpam-3735	750	4	b	b	NOUN
ejpam-3735	750	5	)	)	PUNCT
ejpam-3735	750	6	=	=	PUNCT
ejpam-3735	751	1	[	[	X
ejpam-3735	751	2	0	0	NUM
ejpam-3735	751	3	?	?	PUNCT
ejpam-3735	752	1	(	(	PUNCT
ejpam-3735	752	2	a	a	DET
ejpam-3735	752	3	•	•	NUM
ejpam-3735	752	4	b	b	NOUN
ejpam-3735	752	5	)	)	PUNCT
ejpam-3735	752	6	]	]	PUNCT
ejpam-3735	753	1	•	•	NUM
ejpam-3735	754	1	[	[	X
ejpam-3735	754	2	0	0	NUM
ejpam-3735	754	3	?	?	PUNCT
ejpam-3735	755	1	(	(	PUNCT
ejpam-3735	755	2	τ	τ	PROPN
ejpam-3735	755	3	•	•	NUM
ejpam-3735	755	4	ω	ω	NOUN
ejpam-3735	755	5	)	)	PUNCT
ejpam-3735	755	6	]	]	PUNCT
ejpam-3735	755	7	.	.	PUNCT
ejpam-3735	756	1	by	by	ADP
ejpam-3735	756	2	(	(	PUNCT
ejpam-3735	756	3	proposition	proposition	NOUN
ejpam-3735	756	4	4	4	NUM
ejpam-3735	756	5	(	(	PUNCT
ejpam-3735	756	6	6	6	NUM
ejpam-3735	756	7	)	)	PUNCT
ejpam-3735	756	8	and	and	CCONJ
ejpam-3735	756	9	(	(	PUNCT
ejpam-3735	756	10	4	4	NUM
ejpam-3735	756	11	)	)	PUNCT
ejpam-3735	756	12	,	,	PUNCT
ejpam-3735	756	13	respectively	respectively	ADV
ejpam-3735	756	14	)	)	PUNCT
ejpam-3735	756	15	then	then	ADV
ejpam-3735	756	16	[	[	X
ejpam-3735	756	17	0	0	NUM
ejpam-3735	756	18	?	?	PUNCT
ejpam-3735	757	1	(	(	PUNCT
ejpam-3735	757	2	a	a	DET
ejpam-3735	757	3	•	•	NUM
ejpam-3735	757	4	b	b	NOUN
ejpam-3735	757	5	)	)	PUNCT
ejpam-3735	757	6	]	]	PUNCT
ejpam-3735	758	1	•	•	NUM
ejpam-3735	759	1	[	[	X
ejpam-3735	759	2	0	0	NUM
ejpam-3735	759	3	?	?	PUNCT
ejpam-3735	760	1	(	(	PUNCT
ejpam-3735	760	2	τ	τ	PROPN
ejpam-3735	760	3	•ω	•ω	PROPN
ejpam-3735	760	4	)	)	PUNCT
ejpam-3735	760	5	]	]	PUNCT
ejpam-3735	761	1	=	=	PUNCT
ejpam-3735	762	1	[	[	X
ejpam-3735	762	2	0	0	NUM
ejpam-3735	762	3	•	•	NOUN
ejpam-3735	762	4	(	(	PUNCT
ejpam-3735	762	5	a	a	DET
ejpam-3735	762	6	•	•	NUM
ejpam-3735	762	7	b	b	NOUN
ejpam-3735	762	8	)	)	PUNCT
ejpam-3735	762	9	]	]	PUNCT
ejpam-3735	763	1	•	•	NUM
ejpam-3735	764	1	[	[	X
ejpam-3735	764	2	0	0	NUM
ejpam-3735	764	3	?	?	PUNCT
ejpam-3735	765	1	(	(	PUNCT
ejpam-3735	765	2	τ	τ	PROPN
ejpam-3735	765	3	•ω	•ω	PROPN
ejpam-3735	765	4	)	)	PUNCT
ejpam-3735	765	5	]	]	PUNCT
ejpam-3735	766	1	=	=	PUNCT
ejpam-3735	767	1	[	[	X
ejpam-3735	767	2	(	(	PUNCT
ejpam-3735	767	3	0?a)?(0•b)]•	0?a)?(0•b)]•	X
ejpam-3735	768	1	[	[	X
ejpam-3735	768	2	0?(τ	0?(τ	X
ejpam-3735	768	3	•ω	•ω	ADJ
ejpam-3735	768	4	)	)	PUNCT
ejpam-3735	768	5	]	]	PUNCT
ejpam-3735	768	6	.	.	PUNCT
ejpam-3735	769	1	by	by	ADP
ejpam-3735	769	2	applying	apply	VERB
ejpam-3735	769	3	(	(	PUNCT
ejpam-3735	769	4	pbf	pbf	NOUN
ejpam-3735	769	5	∗	∗	NOUN
ejpam-3735	769	6	)	)	PUNCT
ejpam-3735	769	7	,	,	PUNCT
ejpam-3735	769	8	we	we	PRON
ejpam-3735	769	9	get	get	VERB
ejpam-3735	769	10	[	[	X
ejpam-3735	769	11	(	(	PUNCT
ejpam-3735	769	12	0?a)?(0•b)]•	0?a)?(0•b)]•	X
ejpam-3735	770	1	[	[	X
ejpam-3735	770	2	0?(τ	0?(τ	X
ejpam-3735	770	3	•ω	•ω	ADJ
ejpam-3735	770	4	)	)	PUNCT
ejpam-3735	770	5	]	]	PUNCT
ejpam-3735	771	1	=	=	PUNCT
ejpam-3735	771	2	h.	h.	PROPN
ejpam-3735	771	3	m.	m.	PROPN
ejpam-3735	771	4	al	al	PROPN
ejpam-3735	771	5	-	-	PUNCT
ejpam-3735	771	6	malki	malki	PROPN
ejpam-3735	771	7	,	,	PUNCT
ejpam-3735	771	8	d.	d.	PROPN
ejpam-3735	771	9	s.	s.	PROPN
ejpam-3735	771	10	al	al	PROPN
ejpam-3735	771	11	-	-	PUNCT
ejpam-3735	771	12	kadi	kadi	PROPN
ejpam-3735	771	13	/	/	SYM
ejpam-3735	771	14	eur	eur	PROPN
ejpam-3735	771	15	.	.	PUNCT
ejpam-3735	772	1	j.	j.	PROPN
ejpam-3735	772	2	pure	pure	PROPN
ejpam-3735	772	3	appl	appl	PROPN
ejpam-3735	772	4	.	.	PROPN
ejpam-3735	772	5	math	math	PROPN
ejpam-3735	772	6	,	,	PUNCT
ejpam-3735	772	7	13	13	NUM
ejpam-3735	772	8	(	(	PUNCT
ejpam-3735	772	9	3	3	NUM
ejpam-3735	772	10	)	)	PUNCT
ejpam-3735	772	11	(	(	PUNCT
ejpam-3735	772	12	2020	2020	NUM
ejpam-3735	772	13	)	)	PUNCT
ejpam-3735	772	14	,	,	PUNCT
ejpam-3735	772	15	498	498	NUM
ejpam-3735	772	16	-	-	SYM
ejpam-3735	772	17	512	512	NUM
ejpam-3735	772	18	510	510	NUM
ejpam-3735	772	19	[	[	X
ejpam-3735	772	20	(	(	PUNCT
ejpam-3735	772	21	0	0	NUM
ejpam-3735	772	22	?	?	PUNCT
ejpam-3735	773	1	a	a	X
ejpam-3735	773	2	)	)	PUNCT
ejpam-3735	773	3	•	•	NOUN
ejpam-3735	774	1	[	[	X
ejpam-3735	774	2	0	0	NUM
ejpam-3735	774	3	?	?	PUNCT
ejpam-3735	775	1	(	(	PUNCT
ejpam-3735	775	2	τ	τ	PROPN
ejpam-3735	775	3	•	•	NUM
ejpam-3735	775	4	ω	ω	NOUN
ejpam-3735	775	5	)	)	PUNCT
ejpam-3735	775	6	]	]	PUNCT
ejpam-3735	775	7	]	]	PUNCT
ejpam-3735	775	8	?	?	PUNCT
ejpam-3735	776	1	(	(	PUNCT
ejpam-3735	776	2	0	0	NUM
ejpam-3735	776	3	•	•	NUM
ejpam-3735	776	4	b	b	NOUN
ejpam-3735	776	5	)	)	PUNCT
ejpam-3735	776	6	=	=	SYM
ejpam-3735	777	1	[	[	X
ejpam-3735	777	2	(	(	PUNCT
ejpam-3735	777	3	0	0	NUM
ejpam-3735	777	4	•	•	NOUN
ejpam-3735	778	1	[	[	X
ejpam-3735	778	2	0	0	NUM
ejpam-3735	778	3	?	?	PUNCT
ejpam-3735	779	1	(	(	PUNCT
ejpam-3735	779	2	τ	τ	PROPN
ejpam-3735	779	3	•	•	NUM
ejpam-3735	779	4	ω	ω	NOUN
ejpam-3735	779	5	)	)	PUNCT
ejpam-3735	779	6	]	]	PUNCT
ejpam-3735	779	7	)	)	PUNCT
ejpam-3735	779	8	?	?	PUNCT
ejpam-3735	780	1	a	a	PRON
ejpam-3735	780	2	]	]	X
ejpam-3735	780	3	?	?	PUNCT
ejpam-3735	781	1	(	(	PUNCT
ejpam-3735	781	2	0	0	NUM
ejpam-3735	781	3	•	•	NUM
ejpam-3735	781	4	b	b	NOUN
ejpam-3735	781	5	)	)	PUNCT
ejpam-3735	781	6	.	.	PUNCT
ejpam-3735	782	1	by	by	ADP
ejpam-3735	782	2	(	(	PUNCT
ejpam-3735	782	3	theorem	theorem	ADJ
ejpam-3735	782	4	8	8	NUM
ejpam-3735	782	5	(	(	PUNCT
ejpam-3735	782	6	7	7	NUM
ejpam-3735	782	7	)	)	PUNCT
ejpam-3735	782	8	)	)	PUNCT
ejpam-3735	782	9	we	we	PRON
ejpam-3735	782	10	have	have	VERB
ejpam-3735	782	11	[	[	X
ejpam-3735	782	12	(	(	PUNCT
ejpam-3735	782	13	0	0	NUM
ejpam-3735	782	14	•	•	NOUN
ejpam-3735	783	1	[	[	X
ejpam-3735	783	2	0	0	NUM
ejpam-3735	783	3	?	?	PUNCT
ejpam-3735	784	1	(	(	PUNCT
ejpam-3735	784	2	τ	τ	PROPN
ejpam-3735	784	3	•	•	NUM
ejpam-3735	784	4	ω	ω	NOUN
ejpam-3735	784	5	)	)	PUNCT
ejpam-3735	784	6	]	]	PUNCT
ejpam-3735	784	7	)	)	PUNCT
ejpam-3735	784	8	?	?	PUNCT
ejpam-3735	785	1	a	a	PRON
ejpam-3735	785	2	]	]	X
ejpam-3735	785	3	?	?	PUNCT
ejpam-3735	786	1	(	(	PUNCT
ejpam-3735	786	2	0	0	NUM
ejpam-3735	786	3	•	•	NUM
ejpam-3735	786	4	b	b	NOUN
ejpam-3735	786	5	)	)	PUNCT
ejpam-3735	786	6	=	=	NOUN
ejpam-3735	787	1	[	[	X
ejpam-3735	787	2	(	(	PUNCT
ejpam-3735	787	3	τ	τ	PROPN
ejpam-3735	787	4	•	•	NUM
ejpam-3735	787	5	ω	ω	NUM
ejpam-3735	787	6	)	)	PUNCT
ejpam-3735	787	7	?	?	PUNCT
ejpam-3735	788	1	a	a	PRON
ejpam-3735	788	2	]	]	X
ejpam-3735	788	3	?	?	PUNCT
ejpam-3735	789	1	(	(	PUNCT
ejpam-3735	789	2	0	0	NUM
ejpam-3735	789	3	•	•	NUM
ejpam-3735	789	4	b	b	NOUN
ejpam-3735	789	5	)	)	PUNCT
ejpam-3735	789	6	.	.	PUNCT
ejpam-3735	790	1	using	use	VERB
ejpam-3735	790	2	(	(	PUNCT
ejpam-3735	790	3	pbf	pbf	NOUN
ejpam-3735	790	4	∗	∗	NOUN
ejpam-3735	790	5	)	)	PUNCT
ejpam-3735	790	6	we	we	PRON
ejpam-3735	790	7	get	get	VERB
ejpam-3735	790	8	[	[	X
ejpam-3735	790	9	(	(	PUNCT
ejpam-3735	790	10	τ	τ	PROPN
ejpam-3735	790	11	•	•	NUM
ejpam-3735	790	12	ω	ω	NUM
ejpam-3735	790	13	)	)	PUNCT
ejpam-3735	790	14	?	?	PUNCT
ejpam-3735	791	1	a	a	PRON
ejpam-3735	791	2	]	]	X
ejpam-3735	791	3	?	?	PUNCT
ejpam-3735	792	1	(	(	PUNCT
ejpam-3735	792	2	0	0	NUM
ejpam-3735	792	3	•	•	NUM
ejpam-3735	792	4	b	b	NOUN
ejpam-3735	792	5	)	)	PUNCT
ejpam-3735	792	6	=	=	SYM
ejpam-3735	793	1	[	[	X
ejpam-3735	793	2	(	(	PUNCT
ejpam-3735	793	3	τ	τ	X
ejpam-3735	793	4	?	?	PUNCT
ejpam-3735	794	1	a	a	X
ejpam-3735	794	2	)	)	PUNCT
ejpam-3735	794	3	•	•	NUM
ejpam-3735	794	4	ω	ω	NOUN
ejpam-3735	794	5	]	]	PUNCT
ejpam-3735	794	6	?	?	PUNCT
ejpam-3735	795	1	(	(	PUNCT
ejpam-3735	795	2	0	0	NUM
ejpam-3735	795	3	•	•	NUM
ejpam-3735	795	4	b	b	NOUN
ejpam-3735	795	5	)	)	PUNCT
ejpam-3735	795	6	.	.	PUNCT
ejpam-3735	796	1	from	from	ADP
ejpam-3735	796	2	the	the	DET
ejpam-3735	796	3	hypothesis	hypothesis	NOUN
ejpam-3735	796	4	we	we	PRON
ejpam-3735	796	5	have	have	VERB
ejpam-3735	796	6	[	[	X
ejpam-3735	796	7	(	(	PUNCT
ejpam-3735	796	8	τ	τ	X
ejpam-3735	796	9	?	?	PUNCT
ejpam-3735	796	10	a	a	X
ejpam-3735	796	11	)	)	PUNCT
ejpam-3735	796	12	•ω	•ω	PROPN
ejpam-3735	796	13	]	]	PUNCT
ejpam-3735	796	14	?	?	PUNCT
ejpam-3735	797	1	(	(	PUNCT
ejpam-3735	797	2	0	0	NUM
ejpam-3735	797	3	•	•	NUM
ejpam-3735	797	4	b	b	NOUN
ejpam-3735	797	5	)	)	PUNCT
ejpam-3735	797	6	=	=	SYM
ejpam-3735	797	7	(	(	PUNCT
ejpam-3735	797	8	0	0	NUM
ejpam-3735	797	9	•ω	•ω	ADJ
ejpam-3735	797	10	)	)	PUNCT
ejpam-3735	797	11	?	?	PUNCT
ejpam-3735	798	1	(	(	PUNCT
ejpam-3735	798	2	0	0	NUM
ejpam-3735	798	3	•	•	NUM
ejpam-3735	798	4	b	b	NOUN
ejpam-3735	798	5	)	)	PUNCT
ejpam-3735	798	6	.	.	PUNCT
ejpam-3735	799	1	by	by	ADP
ejpam-3735	799	2	(	(	PUNCT
ejpam-3735	799	3	proposition	proposition	NOUN
ejpam-3735	799	4	4	4	NUM
ejpam-3735	799	5	(	(	PUNCT
ejpam-3735	799	6	6	6	NUM
ejpam-3735	799	7	)	)	PUNCT
ejpam-3735	799	8	and	and	CCONJ
ejpam-3735	799	9	(	(	PUNCT
ejpam-3735	799	10	4	4	NUM
ejpam-3735	799	11	)	)	PUNCT
ejpam-3735	799	12	,	,	PUNCT
ejpam-3735	799	13	respectively	respectively	ADV
ejpam-3735	799	14	)	)	PUNCT
ejpam-3735	799	15	we	we	PRON
ejpam-3735	799	16	get	get	VERB
ejpam-3735	799	17	(	(	PUNCT
ejpam-3735	799	18	0•ω	0•ω	NOUN
ejpam-3735	799	19	)	)	PUNCT
ejpam-3735	799	20	?	?	PUNCT
ejpam-3735	800	1	(	(	PUNCT
ejpam-3735	800	2	0•	0•	NOUN
ejpam-3735	800	3	b	b	X
ejpam-3735	800	4	)	)	PUNCT
ejpam-3735	800	5	=	=	SYM
ejpam-3735	800	6	(	(	PUNCT
ejpam-3735	800	7	0?ω	0?ω	NOUN
ejpam-3735	800	8	)	)	PUNCT
ejpam-3735	800	9	?	?	PUNCT
ejpam-3735	801	1	(	(	PUNCT
ejpam-3735	801	2	0•	0•	NOUN
ejpam-3735	801	3	b	b	X
ejpam-3735	801	4	)	)	PUNCT
ejpam-3735	801	5	=	=	SYM
ejpam-3735	801	6	0•	0•	X
ejpam-3735	802	1	(	(	PUNCT
ejpam-3735	802	2	ω	ω	NUM
ejpam-3735	802	3	•	•	NUM
ejpam-3735	802	4	b	b	NOUN
ejpam-3735	802	5	)	)	PUNCT
ejpam-3735	802	6	.	.	PUNCT
ejpam-3735	803	1	using	use	VERB
ejpam-3735	803	2	the	the	DET
ejpam-3735	803	3	hypothesis	hypothesis	NOUN
ejpam-3735	803	4	and	and	CCONJ
ejpam-3735	803	5	(	(	PUNCT
ejpam-3735	803	6	pbf	pbf	PROPN
ejpam-3735	803	7	(	(	PUNCT
ejpam-3735	803	8	1	1	NUM
ejpam-3735	803	9	)	)	PUNCT
ejpam-3735	803	10	)	)	PUNCT
ejpam-3735	803	11	,	,	PUNCT
ejpam-3735	803	12	respectively	respectively	ADV
ejpam-3735	803	13	we	we	PRON
ejpam-3735	803	14	get	get	VERB
ejpam-3735	803	15	0	0	NUM
ejpam-3735	803	16	•	•	NOUN
ejpam-3735	803	17	(	(	PUNCT
ejpam-3735	803	18	ω	ω	NUM
ejpam-3735	803	19	•	•	NUM
ejpam-3735	803	20	b	b	NOUN
ejpam-3735	803	21	)	)	PUNCT
ejpam-3735	803	22	=	=	SYM
ejpam-3735	803	23	0	0	NUM
ejpam-3735	804	1	•	•	NOUN
ejpam-3735	804	2	0	0	NUM
ejpam-3735	804	3	=	=	SYM
ejpam-3735	804	4	0	0	NUM
ejpam-3735	804	5	,	,	PUNCT
ejpam-3735	804	6	and	and	CCONJ
ejpam-3735	804	7	so	so	ADV
ejpam-3735	804	8	τ	τ	PROPN
ejpam-3735	804	9	•ω	•ω	PROPN
ejpam-3735	804	10	≤	≤	PROPN
ejpam-3735	804	11	a	a	DET
ejpam-3735	804	12	•	•	NOUN
ejpam-3735	804	13	b.	b.	NOUN
ejpam-3735	804	14	thus	thus	ADV
ejpam-3735	804	15	a	a	DET
ejpam-3735	804	16	•	•	NOUN
ejpam-3735	804	17	b	b	NOUN
ejpam-3735	804	18	∈	∈	NOUN
ejpam-3735	804	19	v	v	NOUN
ejpam-3735	804	20	(	(	PUNCT
ejpam-3735	804	21	τ	τ	PROPN
ejpam-3735	804	22	•ω	•ω	PROPN
ejpam-3735	804	23	)	)	PUNCT
ejpam-3735	804	24	and	and	CCONJ
ejpam-3735	804	25	similarly	similarly	ADV
ejpam-3735	804	26	a	a	PRON
ejpam-3735	804	27	?	?	PUNCT
ejpam-3735	805	1	b	b	X
ejpam-3735	805	2	∈	∈	ADJ
ejpam-3735	805	3	v	v	NOUN
ejpam-3735	805	4	(	(	PUNCT
ejpam-3735	805	5	τ	τ	PROPN
ejpam-3735	805	6	?	?	PUNCT
ejpam-3735	805	7	ω	ω	NUM
ejpam-3735	805	8	)	)	PUNCT
ejpam-3735	805	9	.	.	PUNCT
ejpam-3735	806	1	(	(	PUNCT
ejpam-3735	806	2	2	2	X
ejpam-3735	806	3	)	)	PUNCT
ejpam-3735	806	4	let	let	VERB
ejpam-3735	806	5	a	a	DET
ejpam-3735	806	6	,	,	PUNCT
ejpam-3735	806	7	b	b	PROPN
ejpam-3735	806	8	∈	∈	PROPN
ejpam-3735	806	9	v	v	NOUN
ejpam-3735	806	10	(	(	PUNCT
ejpam-3735	806	11	τ	τ	PROPN
ejpam-3735	806	12	)	)	PUNCT
ejpam-3735	806	13	,	,	PUNCT
ejpam-3735	806	14	by	by	ADP
ejpam-3735	806	15	(	(	PUNCT
ejpam-3735	806	16	1	1	X
ejpam-3735	806	17	)	)	PUNCT
ejpam-3735	806	18	we	we	PRON
ejpam-3735	806	19	have	have	VERB
ejpam-3735	806	20	a	a	DET
ejpam-3735	806	21	•	•	NOUN
ejpam-3735	806	22	b	b	NOUN
ejpam-3735	806	23	∈	∈	NOUN
ejpam-3735	806	24	v	v	NOUN
ejpam-3735	806	25	(	(	PUNCT
ejpam-3735	806	26	τ	τ	PROPN
ejpam-3735	806	27	•	•	NUM
ejpam-3735	806	28	τ	τ	PROPN
ejpam-3735	806	29	)	)	PUNCT
ejpam-3735	806	30	,	,	PUNCT
ejpam-3735	807	1	a	a	DET
ejpam-3735	807	2	?	?	PUNCT
ejpam-3735	807	3	b	b	X
ejpam-3735	807	4	∈	∈	ADJ
ejpam-3735	807	5	v	v	NOUN
ejpam-3735	807	6	(	(	PUNCT
ejpam-3735	807	7	τ	τ	PROPN
ejpam-3735	807	8	?	?	PUNCT
ejpam-3735	807	9	τ	τ	PROPN
ejpam-3735	807	10	)	)	PUNCT
ejpam-3735	807	11	.	.	PUNCT
ejpam-3735	808	1	using	use	VERB
ejpam-3735	808	2	(	(	PUNCT
ejpam-3735	808	3	pbf	pbf	NOUN
ejpam-3735	808	4	(	(	PUNCT
ejpam-3735	808	5	1	1	NUM
ejpam-3735	808	6	)	)	PUNCT
ejpam-3735	808	7	)	)	PUNCT
ejpam-3735	808	8	then	then	ADV
ejpam-3735	808	9	a	a	DET
ejpam-3735	808	10	•	•	NOUN
ejpam-3735	808	11	b	b	NOUN
ejpam-3735	808	12	∈	∈	NOUN
ejpam-3735	808	13	v	v	NOUN
ejpam-3735	808	14	(	(	PUNCT
ejpam-3735	808	15	0	0	NUM
ejpam-3735	808	16	)	)	PUNCT
ejpam-3735	808	17	,	,	PUNCT
ejpam-3735	808	18	a	a	DET
ejpam-3735	808	19	?	?	PUNCT
ejpam-3735	808	20	b	b	X
ejpam-3735	808	21	∈	∈	ADJ
ejpam-3735	808	22	v	v	NOUN
ejpam-3735	808	23	(	(	PUNCT
ejpam-3735	808	24	0	0	NUM
ejpam-3735	808	25	)	)	PUNCT
ejpam-3735	808	26	.	.	PUNCT
ejpam-3735	809	1	we	we	PRON
ejpam-3735	809	2	get	get	VERB
ejpam-3735	809	3	0	0	NUM
ejpam-3735	809	4	≤	≤	NOUN
ejpam-3735	809	5	a	a	DET
ejpam-3735	809	6	•	•	NOUN
ejpam-3735	809	7	b	b	NOUN
ejpam-3735	809	8	,	,	PUNCT
ejpam-3735	809	9	0	0	NUM
ejpam-3735	809	10	≤	≤	NUM
ejpam-3735	809	11	a	a	PRON
ejpam-3735	809	12	?	?	PUNCT
ejpam-3735	810	1	b.	b.	PROPN
ejpam-3735	810	2	then	then	ADV
ejpam-3735	810	3	a	a	DET
ejpam-3735	810	4	•	•	NOUN
ejpam-3735	810	5	b	b	NOUN
ejpam-3735	810	6	,	,	PUNCT
ejpam-3735	810	7	a	a	PRON
ejpam-3735	810	8	?	?	PUNCT
ejpam-3735	810	9	b	b	X
ejpam-3735	810	10	∈	∈	PROPN
ejpam-3735	810	11	k(e	k(e	PROPN
ejpam-3735	810	12	)	)	PUNCT
ejpam-3735	810	13	.	.	PUNCT
ejpam-3735	811	1	(	(	PUNCT
ejpam-3735	811	2	3	3	X
ejpam-3735	811	3	)	)	PUNCT
ejpam-3735	811	4	let	let	VERB
ejpam-3735	811	5	0	0	PUNCT
ejpam-3735	811	6	be	be	AUX
ejpam-3735	811	7	a	a	DET
ejpam-3735	811	8	pseudo	pseudo	NOUN
ejpam-3735	811	9	-	-	NOUN
ejpam-3735	811	10	atom	atom	NOUN
ejpam-3735	811	11	from	from	ADP
ejpam-3735	811	12	(	(	PUNCT
ejpam-3735	811	13	definition	definition	NOUN
ejpam-3735	811	14	10	10	NUM
ejpam-3735	811	15	)	)	PUNCT
ejpam-3735	811	16	we	we	PRON
ejpam-3735	811	17	get	get	VERB
ejpam-3735	811	18	a	a	DET
ejpam-3735	811	19	•	•	NOUN
ejpam-3735	811	20	b	b	NOUN
ejpam-3735	811	21	≤	≤	NUM
ejpam-3735	811	22	0	0	NUM
ejpam-3735	812	1	then	then	ADV
ejpam-3735	812	2	a	a	DET
ejpam-3735	812	3	•	•	NOUN
ejpam-3735	812	4	b	b	NOUN
ejpam-3735	812	5	=	=	SYM
ejpam-3735	812	6	0	0	NUM
ejpam-3735	812	7	.	.	PUNCT
ejpam-3735	813	1	by	by	ADP
ejpam-3735	813	2	(	(	PUNCT
ejpam-3735	813	3	corollary	corollary	ADJ
ejpam-3735	813	4	2	2	NUM
ejpam-3735	813	5	)	)	PUNCT
ejpam-3735	813	6	we	we	PRON
ejpam-3735	813	7	get	get	VERB
ejpam-3735	813	8	b	b	NOUN
ejpam-3735	813	9	•	•	NOUN
ejpam-3735	813	10	a	a	DET
ejpam-3735	813	11	=	=	NOUN
ejpam-3735	813	12	0	0	NOUN
ejpam-3735	813	13	.	.	PUNCT
ejpam-3735	814	1	using	use	VERB
ejpam-3735	814	2	(	(	PUNCT
ejpam-3735	814	3	pbf	pbf	NOUN
ejpam-3735	814	4	(	(	PUNCT
ejpam-3735	814	5	3	3	NUM
ejpam-3735	814	6	)	)	PUNCT
ejpam-3735	814	7	)	)	PUNCT
ejpam-3735	815	1	then	then	ADV
ejpam-3735	815	2	0	0	NUM
ejpam-3735	815	3	?	?	PUNCT
ejpam-3735	816	1	(	(	PUNCT
ejpam-3735	816	2	a	a	DET
ejpam-3735	816	3	•	•	NUM
ejpam-3735	816	4	b	b	NOUN
ejpam-3735	816	5	)	)	PUNCT
ejpam-3735	816	6	=	=	SYM
ejpam-3735	816	7	0	0	NUM
ejpam-3735	817	1	and	and	CCONJ
ejpam-3735	817	2	so	so	ADV
ejpam-3735	817	3	0	0	NUM
ejpam-3735	817	4	≤	≤	NOUN
ejpam-3735	817	5	a	a	DET
ejpam-3735	817	6	•	•	NOUN
ejpam-3735	817	7	b.	b.	NOUN
ejpam-3735	817	8	therefore	therefore	ADV
ejpam-3735	817	9	a•b	a•b	PROPN
ejpam-3735	817	10	∈	∈	PROPN
ejpam-3735	817	11	v	v	NOUN
ejpam-3735	817	12	(	(	PUNCT
ejpam-3735	817	13	0	0	NUM
ejpam-3735	817	14	)	)	PUNCT
ejpam-3735	817	15	and	and	CCONJ
ejpam-3735	817	16	so	so	ADV
ejpam-3735	817	17	a•b	a•b	PROPN
ejpam-3735	817	18	∈	∈	PROPN
ejpam-3735	817	19	k(e	k(e	PROPN
ejpam-3735	817	20	)	)	PUNCT
ejpam-3735	817	21	.	.	PUNCT
ejpam-3735	818	1	similarly	similarly	ADV
ejpam-3735	818	2	we	we	PRON
ejpam-3735	818	3	can	can	AUX
ejpam-3735	818	4	show	show	VERB
ejpam-3735	818	5	that	that	SCONJ
ejpam-3735	818	6	a?b	a?b	PROPN
ejpam-3735	818	7	∈	∈	PROPN
ejpam-3735	818	8	k(e	k(e	PROPN
ejpam-3735	818	9	)	)	PUNCT
ejpam-3735	818	10	.	.	PUNCT
ejpam-3735	819	1	(	(	PUNCT
ejpam-3735	819	2	4	4	X
ejpam-3735	819	3	)	)	PUNCT
ejpam-3735	819	4	let	let	VERB
ejpam-3735	819	5	a	a	DET
ejpam-3735	819	6	∈	∈	PROPN
ejpam-3735	819	7	v	v	NOUN
ejpam-3735	819	8	(	(	PUNCT
ejpam-3735	819	9	ω	ω	NOUN
ejpam-3735	819	10	)	)	PUNCT
ejpam-3735	819	11	,	,	PUNCT
ejpam-3735	819	12	then	then	ADV
ejpam-3735	819	13	ω	ω	NUM
ejpam-3735	819	14	≤	≤	PROPN
ejpam-3735	819	15	a	a	DET
ejpam-3735	819	16	we	we	PRON
ejpam-3735	819	17	have	have	VERB
ejpam-3735	819	18	ω	ω	NUM
ejpam-3735	819	19	•	•	NOUN
ejpam-3735	819	20	a	a	DET
ejpam-3735	819	21	=	=	SYM
ejpam-3735	819	22	0	0	NUM
ejpam-3735	819	23	and	and	CCONJ
ejpam-3735	819	24	ω	ω	NUM
ejpam-3735	819	25	?	?	PUNCT
ejpam-3735	820	1	a	a	DET
ejpam-3735	820	2	=	=	NOUN
ejpam-3735	820	3	0	0	NUM
ejpam-3735	820	4	.	.	PUNCT
ejpam-3735	821	1	by	by	ADP
ejpam-3735	821	2	(	(	PUNCT
ejpam-3735	821	3	theorem	theorem	ADJ
ejpam-3735	821	4	8	8	NUM
ejpam-3735	821	5	(	(	PUNCT
ejpam-3735	821	6	3	3	NUM
ejpam-3735	821	7	)	)	PUNCT
ejpam-3735	821	8	)	)	PUNCT
ejpam-3735	821	9	we	we	PRON
ejpam-3735	821	10	get	get	VERB
ejpam-3735	821	11	(	(	PUNCT
ejpam-3735	821	12	τ	τ	PROPN
ejpam-3735	821	13	•	•	NUM
ejpam-3735	821	14	a	a	NOUN
ejpam-3735	821	15	)	)	PUNCT
ejpam-3735	821	16	?	?	PUNCT
ejpam-3735	822	1	(	(	PUNCT
ejpam-3735	822	2	τ	τ	PROPN
ejpam-3735	822	3	•	•	NUM
ejpam-3735	822	4	ω	ω	NOUN
ejpam-3735	822	5	)	)	PUNCT
ejpam-3735	822	6	=	=	SYM
ejpam-3735	823	1	ω	ω	NUM
ejpam-3735	823	2	•	•	NOUN
ejpam-3735	823	3	a	a	DET
ejpam-3735	823	4	=	=	NOUN
ejpam-3735	823	5	0	0	NUM
ejpam-3735	823	6	.	.	PUNCT
ejpam-3735	824	1	so	so	ADV
ejpam-3735	824	2	τ	τ	PROPN
ejpam-3735	824	3	•	•	NUM
ejpam-3735	824	4	a	a	DET
ejpam-3735	824	5	≤	≤	NUM
ejpam-3735	824	6	τ	τ	PROPN
ejpam-3735	824	7	•	•	NUM
ejpam-3735	824	8	ω	ω	PROPN
ejpam-3735	824	9	.	.	PUNCT
ejpam-3735	825	1	moreover	moreover	ADV
ejpam-3735	825	2	,	,	PUNCT
ejpam-3735	825	3	τ	τ	PROPN
ejpam-3735	825	4	•	•	PROPN
ejpam-3735	825	5	ω	ω	PROPN
ejpam-3735	825	6	is	be	AUX
ejpam-3735	825	7	a	a	DET
ejpam-3735	825	8	pseudo	pseudo	NOUN
ejpam-3735	825	9	-	-	NOUN
ejpam-3735	825	10	atom	atom	NOUN
ejpam-3735	825	11	by	by	ADP
ejpam-3735	825	12	(	(	PUNCT
ejpam-3735	825	13	corollary	corollary	ADJ
ejpam-3735	825	14	3	3	NUM
ejpam-3735	825	15	)	)	PUNCT
ejpam-3735	825	16	.	.	PUNCT
ejpam-3735	826	1	therefore	therefore	ADV
ejpam-3735	826	2	τ	τ	PROPN
ejpam-3735	826	3	•	•	PROPN
ejpam-3735	826	4	a	a	PRON
ejpam-3735	826	5	=	=	SYM
ejpam-3735	826	6	τ	τ	PROPN
ejpam-3735	826	7	•	•	NUM
ejpam-3735	826	8	ω	ω	X
ejpam-3735	826	9	.	.	PUNCT
ejpam-3735	827	1	similarly	similarly	ADV
ejpam-3735	827	2	τ	τ	PROPN
ejpam-3735	827	3	?	?	PUNCT
ejpam-3735	828	1	a	a	PRON
ejpam-3735	828	2	=	=	X
ejpam-3735	828	3	τ	τ	X
ejpam-3735	828	4	?	?	PUNCT
ejpam-3735	829	1	ω	ω	X
ejpam-3735	829	2	.	.	PUNCT
ejpam-3735	830	1	(	(	PUNCT
ejpam-3735	830	2	5	5	X
ejpam-3735	830	3	)	)	PUNCT
ejpam-3735	830	4	we	we	PRON
ejpam-3735	830	5	prove	prove	VERB
ejpam-3735	830	6	by	by	ADP
ejpam-3735	830	7	contradiction	contradiction	NOUN
ejpam-3735	830	8	.	.	PUNCT
ejpam-3735	831	1	let	let	VERB
ejpam-3735	831	2	τ	τ	PROPN
ejpam-3735	831	3	6=	6=	ADP
ejpam-3735	831	4	ω	ω	PROPN
ejpam-3735	831	5	and	and	CCONJ
ejpam-3735	831	6	let	let	VERB
ejpam-3735	831	7	v	v	X
ejpam-3735	831	8	(	(	PUNCT
ejpam-3735	831	9	τ	τ	NOUN
ejpam-3735	831	10	)	)	PUNCT
ejpam-3735	831	11	∩	∩	ADJ
ejpam-3735	831	12	v	v	X
ejpam-3735	831	13	(	(	PUNCT
ejpam-3735	831	14	ω	ω	NOUN
ejpam-3735	831	15	)	)	PUNCT
ejpam-3735	831	16	6=	6=	ADP
ejpam-3735	832	1	φ	φ	PROPN
ejpam-3735	832	2	then	then	ADV
ejpam-3735	832	3	there	there	PRON
ejpam-3735	832	4	exists	exist	VERB
ejpam-3735	832	5	c	c	PROPN
ejpam-3735	832	6	∈	∈	PROPN
ejpam-3735	832	7	v	v	PROPN
ejpam-3735	832	8	(	(	PUNCT
ejpam-3735	832	9	τ	τ	NOUN
ejpam-3735	832	10	)	)	PUNCT
ejpam-3735	832	11	∩	∩	ADJ
ejpam-3735	832	12	v	v	X
ejpam-3735	832	13	(	(	PUNCT
ejpam-3735	832	14	ω	ω	NOUN
ejpam-3735	832	15	)	)	PUNCT
ejpam-3735	832	16	.	.	PUNCT
ejpam-3735	833	1	from	from	ADP
ejpam-3735	833	2	(	(	PUNCT
ejpam-3735	833	3	1	1	NUM
ejpam-3735	833	4	)	)	PUNCT
ejpam-3735	833	5	,	,	PUNCT
ejpam-3735	833	6	we	we	PRON
ejpam-3735	833	7	have	have	VERB
ejpam-3735	833	8	c	c	NOUN
ejpam-3735	833	9	•	•	NOUN
ejpam-3735	833	10	c	c	NOUN
ejpam-3735	833	11	∈	∈	PROPN
ejpam-3735	833	12	v	v	NOUN
ejpam-3735	833	13	(	(	PUNCT
ejpam-3735	833	14	τ	τ	PROPN
ejpam-3735	833	15	•	•	NUM
ejpam-3735	833	16	ω	ω	NUM
ejpam-3735	833	17	)	)	PUNCT
ejpam-3735	833	18	,	,	PUNCT
ejpam-3735	833	19	c	c	NOUN
ejpam-3735	833	20	?	?	PUNCT
ejpam-3735	834	1	c	c	X
ejpam-3735	834	2	∈	∈	PROPN
ejpam-3735	834	3	v	v	X
ejpam-3735	834	4	(	(	PUNCT
ejpam-3735	834	5	τ	τ	PROPN
ejpam-3735	834	6	?	?	PUNCT
ejpam-3735	834	7	ω	ω	NUM
ejpam-3735	834	8	)	)	PUNCT
ejpam-3735	834	9	.	.	PUNCT
ejpam-3735	835	1	using	use	VERB
ejpam-3735	835	2	(	(	PUNCT
ejpam-3735	835	3	pbf	pbf	NOUN
ejpam-3735	835	4	(	(	PUNCT
ejpam-3735	835	5	1	1	NUM
ejpam-3735	835	6	)	)	PUNCT
ejpam-3735	835	7	)	)	PUNCT
ejpam-3735	836	1	then	then	ADV
ejpam-3735	836	2	c	c	X
ejpam-3735	836	3	•	•	NOUN
ejpam-3735	836	4	c	c	NOUN
ejpam-3735	836	5	=	=	SYM
ejpam-3735	836	6	0	0	PUNCT
ejpam-3735	836	7	=	=	PUNCT
ejpam-3735	836	8	c	c	NOUN
ejpam-3735	836	9	?	?	PUNCT
ejpam-3735	837	1	c	c	NOUN
ejpam-3735	838	1	and	and	CCONJ
ejpam-3735	838	2	so	so	ADV
ejpam-3735	838	3	0	0	NUM
ejpam-3735	838	4	∈	∈	PROPN
ejpam-3735	838	5	v	v	NOUN
ejpam-3735	838	6	(	(	PUNCT
ejpam-3735	838	7	τ	τ	PROPN
ejpam-3735	838	8	•	•	NUM
ejpam-3735	838	9	ω	ω	NOUN
ejpam-3735	838	10	)	)	PUNCT
ejpam-3735	838	11	,	,	PUNCT
ejpam-3735	838	12	v	v	X
ejpam-3735	838	13	(	(	PUNCT
ejpam-3735	838	14	τ	τ	PROPN
ejpam-3735	838	15	?	?	PUNCT
ejpam-3735	838	16	ω	ω	NUM
ejpam-3735	838	17	)	)	PUNCT
ejpam-3735	838	18	.	.	PUNCT
ejpam-3735	839	1	hence	hence	ADV
ejpam-3735	839	2	τ	τ	PROPN
ejpam-3735	839	3	•	•	NUM
ejpam-3735	839	4	ω	ω	NUM
ejpam-3735	839	5	≤	≤	NUM
ejpam-3735	839	6	0	0	NUM
ejpam-3735	840	1	and	and	CCONJ
ejpam-3735	840	2	τ	τ	PROPN
ejpam-3735	840	3	?	?	PUNCT
ejpam-3735	841	1	ω	ω	NUM
ejpam-3735	841	2	≤	≤	NUM
ejpam-3735	841	3	0	0	NUM
ejpam-3735	841	4	.	.	PUNCT
ejpam-3735	842	1	that	that	PRON
ejpam-3735	842	2	is	be	AUX
ejpam-3735	842	3	τ	τ	PROPN
ejpam-3735	842	4	•	•	PROPN
ejpam-3735	842	5	ω	ω	PROPN
ejpam-3735	842	6	,	,	PUNCT
ejpam-3735	842	7	τ	τ	PROPN
ejpam-3735	842	8	?	?	PUNCT
ejpam-3735	843	1	ω	ω	NOUN
ejpam-3735	843	2	are	be	AUX
ejpam-3735	843	3	pseudo	pseudo	NOUN
ejpam-3735	843	4	-	-	NOUN
ejpam-3735	843	5	atoms	atom	NOUN
ejpam-3735	843	6	from	from	ADP
ejpam-3735	843	7	(	(	PUNCT
ejpam-3735	843	8	1	1	NUM
ejpam-3735	843	9	)	)	PUNCT
ejpam-3735	843	10	,	,	PUNCT
ejpam-3735	843	11	then	then	ADV
ejpam-3735	843	12	τ	τ	PROPN
ejpam-3735	843	13	•	•	PROPN
ejpam-3735	843	14	ω	ω	X
ejpam-3735	843	15	=	=	SYM
ejpam-3735	843	16	0	0	PUNCT
ejpam-3735	844	1	=	=	SYM
ejpam-3735	844	2	τ	τ	PROPN
ejpam-3735	844	3	?	?	PUNCT
ejpam-3735	845	1	ω	ω	INTJ
ejpam-3735	845	2	we	we	PRON
ejpam-3735	845	3	have	have	VERB
ejpam-3735	845	4	τ	τ	PROPN
ejpam-3735	845	5	≤	≤	NUM
ejpam-3735	845	6	ω	ω	PROPN
ejpam-3735	845	7	.	.	PUNCT
ejpam-3735	846	1	that	that	PRON
ejpam-3735	846	2	is	is	ADV
ejpam-3735	846	3	ω	ω	NOUN
ejpam-3735	846	4	is	be	AUX
ejpam-3735	846	5	a	a	DET
ejpam-3735	846	6	pseudo	pseudo	NOUN
ejpam-3735	846	7	-	-	NOUN
ejpam-3735	846	8	atom	atom	NOUN
ejpam-3735	846	9	then	then	ADV
ejpam-3735	847	1	τ	τ	PROPN
ejpam-3735	847	2	=	=	SYM
ejpam-3735	847	3	ω	ω	PROPN
ejpam-3735	847	4	this	this	PRON
ejpam-3735	847	5	is	be	AUX
ejpam-3735	847	6	a	a	DET
ejpam-3735	847	7	contradiction	contradiction	NOUN
ejpam-3735	847	8	with	with	ADP
ejpam-3735	847	9	hypothesis	hypothesis	NOUN
ejpam-3735	847	10	(	(	PUNCT
ejpam-3735	847	11	τ	τ	PROPN
ejpam-3735	847	12	6=	6=	PROPN
ejpam-3735	847	13	ω	ω	NUM
ejpam-3735	847	14	)	)	PUNCT
ejpam-3735	847	15	.	.	PUNCT
ejpam-3735	848	1	thus	thus	ADV
ejpam-3735	848	2	v	v	X
ejpam-3735	848	3	(	(	PUNCT
ejpam-3735	848	4	τ	τ	NOUN
ejpam-3735	848	5	)	)	PUNCT
ejpam-3735	848	6	∩	∩	ADJ
ejpam-3735	848	7	v	v	X
ejpam-3735	848	8	(	(	PUNCT
ejpam-3735	848	9	ω	ω	NOUN
ejpam-3735	848	10	)	)	PUNCT
ejpam-3735	848	11	=	=	SYM
ejpam-3735	848	12	φ	φ	PROPN
ejpam-3735	848	13	.	.	PUNCT
ejpam-3735	848	14	proposition	proposition	NOUN
ejpam-3735	848	15	11	11	NUM
ejpam-3735	848	16	.	.	PUNCT
ejpam-3735	849	1	in	in	ADP
ejpam-3735	849	2	a	a	DET
ejpam-3735	849	3	pseudo	pseudo	NOUN
ejpam-3735	849	4	-	-	NOUN
ejpam-3735	849	5	bf	bf	NOUN
ejpam-3735	849	6	∗-algebra	∗-algebra	NOUN
ejpam-3735	849	7	(	(	PUNCT
ejpam-3735	849	8	e	e	NOUN
ejpam-3735	849	9	;	;	PUNCT
ejpam-3735	849	10	•	•	NUM
ejpam-3735	849	11	,	,	PUNCT
ejpam-3735	849	12	?	?	PUNCT
ejpam-3735	849	13	,	,	PUNCT
ejpam-3735	849	14	0	0	NUM
ejpam-3735	849	15	)	)	PUNCT
ejpam-3735	849	16	,	,	PUNCT
ejpam-3735	849	17	let	let	VERB
ejpam-3735	849	18	τ	τ	PROPN
ejpam-3735	849	19	∈	∈	PROPN
ejpam-3735	849	20	e.	e.	PROPN
ejpam-3735	849	21	then	then	ADV
ejpam-3735	849	22	τ	τ	PROPN
ejpam-3735	849	23	is	be	AUX
ejpam-3735	849	24	a	a	DET
ejpam-3735	849	25	pseudoatom	pseudoatom	NOUN
ejpam-3735	849	26	if	if	SCONJ
ejpam-3735	849	27	and	and	CCONJ
ejpam-3735	849	28	only	only	ADV
ejpam-3735	849	29	if	if	SCONJ
ejpam-3735	849	30	there	there	PRON
ejpam-3735	849	31	is	be	VERB
ejpam-3735	849	32	a	a	DET
ejpam-3735	849	33	∈	∈	NOUN
ejpam-3735	849	34	e	e	NOUN
ejpam-3735	849	35	such	such	ADJ
ejpam-3735	849	36	that	that	SCONJ
ejpam-3735	849	37	τ	τ	PROPN
ejpam-3735	849	38	=	=	SYM
ejpam-3735	849	39	0	0	NUM
ejpam-3735	849	40	•	•	NUM
ejpam-3735	849	41	a.	a.	NOUN
ejpam-3735	849	42	proof	proof	NOUN
ejpam-3735	849	43	.	.	PUNCT
ejpam-3735	850	1	let	let	VERB
ejpam-3735	850	2	τ	τ	PRON
ejpam-3735	850	3	be	be	AUX
ejpam-3735	850	4	a	a	DET
ejpam-3735	850	5	pseudo	pseudo	NOUN
ejpam-3735	850	6	-	-	NOUN
ejpam-3735	850	7	atom	atom	NOUN
ejpam-3735	850	8	of	of	ADP
ejpam-3735	850	9	e.	e.	PROPN
ejpam-3735	850	10	then	then	ADV
ejpam-3735	850	11	τ	τ	PROPN
ejpam-3735	850	12	=	=	SYM
ejpam-3735	850	13	0	0	NUM
ejpam-3735	850	14	•	•	NUM
ejpam-3735	850	15	(	(	PUNCT
ejpam-3735	850	16	0	0	NUM
ejpam-3735	850	17	?	?	PUNCT
ejpam-3735	851	1	τ	τ	X
ejpam-3735	851	2	)	)	PUNCT
ejpam-3735	851	3	,	,	PUNCT
ejpam-3735	851	4	from	from	ADP
ejpam-3735	851	5	(	(	PUNCT
ejpam-3735	851	6	theorem	theorem	ADJ
ejpam-3735	851	7	8	8	NUM
ejpam-3735	851	8	(	(	PUNCT
ejpam-3735	851	9	6	6	NUM
ejpam-3735	851	10	)	)	PUNCT
ejpam-3735	851	11	)	)	PUNCT
ejpam-3735	851	12	.	.	PUNCT
ejpam-3735	852	1	set	set	VERB
ejpam-3735	852	2	a	a	DET
ejpam-3735	852	3	=	=	NOUN
ejpam-3735	852	4	0	0	NUM
ejpam-3735	852	5	?	?	PUNCT
ejpam-3735	853	1	τ	τ	PROPN
ejpam-3735	853	2	,	,	PUNCT
ejpam-3735	853	3	we	we	PRON
ejpam-3735	853	4	get	get	VERB
ejpam-3735	853	5	τ	τ	X
ejpam-3735	853	6	=	=	SYM
ejpam-3735	853	7	0	0	NUM
ejpam-3735	853	8	•	•	NOUN
ejpam-3735	853	9	a.	a.	NOUN
ejpam-3735	853	10	conversely	conversely	ADV
ejpam-3735	853	11	,	,	PUNCT
ejpam-3735	853	12	let	let	VERB
ejpam-3735	853	13	τ	τ	PROPN
ejpam-3735	853	14	=	=	SYM
ejpam-3735	853	15	0	0	NUM
ejpam-3735	853	16	•	•	NUM
ejpam-3735	853	17	a	a	PRON
ejpam-3735	853	18	for	for	ADP
ejpam-3735	853	19	some	some	DET
ejpam-3735	853	20	a	a	DET
ejpam-3735	853	21	∈	∈	PROPN
ejpam-3735	853	22	e.	e.	NOUN
ejpam-3735	853	23	we	we	PRON
ejpam-3735	853	24	use	use	VERB
ejpam-3735	853	25	(	(	PUNCT
ejpam-3735	853	26	proposition	proposition	NOUN
ejpam-3735	853	27	2	2	NUM
ejpam-3735	853	28	(	(	PUNCT
ejpam-3735	853	29	2	2	NUM
ejpam-3735	853	30	)	)	PUNCT
ejpam-3735	853	31	)	)	PUNCT
ejpam-3735	853	32	to	to	PART
ejpam-3735	853	33	have	have	VERB
ejpam-3735	853	34	0	0	NUM
ejpam-3735	853	35	•	•	NOUN
ejpam-3735	853	36	(	(	PUNCT
ejpam-3735	853	37	0	0	NUM
ejpam-3735	853	38	?	?	PUNCT
ejpam-3735	854	1	τ	τ	X
ejpam-3735	854	2	)	)	PUNCT
ejpam-3735	854	3	=	=	SYM
ejpam-3735	854	4	0•(0?(0•a	0•(0?(0•a	NOUN
ejpam-3735	854	5	)	)	PUNCT
ejpam-3735	854	6	)	)	PUNCT
ejpam-3735	855	1	=	=	PUNCT
ejpam-3735	855	2	0•a	0•a	NUM
ejpam-3735	856	1	=	=	SYM
ejpam-3735	856	2	τ	τ	X
ejpam-3735	856	3	.	.	PUNCT
ejpam-3735	857	1	by	by	ADP
ejpam-3735	857	2	(	(	PUNCT
ejpam-3735	857	3	theorem	theorem	ADJ
ejpam-3735	857	4	8	8	NUM
ejpam-3735	857	5	(	(	PUNCT
ejpam-3735	857	6	6	6	NUM
ejpam-3735	857	7	)	)	PUNCT
ejpam-3735	857	8	and	and	CCONJ
ejpam-3735	857	9	(	(	PUNCT
ejpam-3735	857	10	1	1	NUM
ejpam-3735	857	11	)	)	PUNCT
ejpam-3735	857	12	)	)	PUNCT
ejpam-3735	858	1	we	we	PRON
ejpam-3735	858	2	conclude	conclude	VERB
ejpam-3735	858	3	that	that	SCONJ
ejpam-3735	858	4	τ	τ	PROPN
ejpam-3735	858	5	is	be	AUX
ejpam-3735	858	6	a	a	DET
ejpam-3735	858	7	pseudo	pseudo	NOUN
ejpam-3735	858	8	-	-	NOUN
ejpam-3735	858	9	atom	atom	NOUN
ejpam-3735	858	10	.	.	PUNCT
ejpam-3735	859	1	proposition	proposition	NOUN
ejpam-3735	859	2	12	12	NUM
ejpam-3735	859	3	.	.	PUNCT
ejpam-3735	860	1	in	in	ADP
ejpam-3735	860	2	a	a	DET
ejpam-3735	860	3	pseudo	pseudo	NOUN
ejpam-3735	860	4	-	-	NOUN
ejpam-3735	860	5	bf	bf	NOUN
ejpam-3735	860	6	∗-algebra	∗-algebra	NOUN
ejpam-3735	860	7	(	(	PUNCT
ejpam-3735	860	8	e	e	NOUN
ejpam-3735	860	9	;	;	PUNCT
ejpam-3735	860	10	•	•	NUM
ejpam-3735	860	11	,	,	PUNCT
ejpam-3735	860	12	?	?	PUNCT
ejpam-3735	860	13	,	,	PUNCT
ejpam-3735	860	14	0	0	NUM
ejpam-3735	860	15	)	)	PUNCT
ejpam-3735	860	16	,	,	PUNCT
ejpam-3735	860	17	the	the	DET
ejpam-3735	860	18	following	follow	VERB
ejpam-3735	860	19	properties	property	NOUN
ejpam-3735	860	20	hold	hold	VERB
ejpam-3735	860	21	for	for	ADP
ejpam-3735	860	22	any	any	DET
ejpam-3735	860	23	a	a	DET
ejpam-3735	860	24	,	,	PUNCT
ejpam-3735	860	25	b	b	NOUN
ejpam-3735	860	26	,	,	PUNCT
ejpam-3735	860	27	c	c	PROPN
ejpam-3735	860	28	∈	∈	PROPN
ejpam-3735	861	1	e	e	NOUN
ejpam-3735	861	2	:	:	PUNCT
ejpam-3735	861	3	(	(	PUNCT
ejpam-3735	861	4	1	1	X
ejpam-3735	861	5	)	)	PUNCT
ejpam-3735	861	6	if	if	SCONJ
ejpam-3735	861	7	a	a	DET
ejpam-3735	861	8	≤	≤	PROPN
ejpam-3735	861	9	b	b	NOUN
ejpam-3735	861	10	then	then	ADV
ejpam-3735	861	11	c	c	PROPN
ejpam-3735	861	12	•	•	NUM
ejpam-3735	861	13	b	b	X
ejpam-3735	861	14	≤	≤	NUM
ejpam-3735	861	15	c	c	NOUN
ejpam-3735	861	16	•	•	NOUN
ejpam-3735	861	17	a	a	PRON
ejpam-3735	861	18	and	and	CCONJ
ejpam-3735	861	19	c	c	NOUN
ejpam-3735	861	20	?	?	PUNCT
ejpam-3735	862	1	b	b	X
ejpam-3735	862	2	≤	≤	NUM
ejpam-3735	862	3	c	c	NOUN
ejpam-3735	862	4	?	?	PUNCT
ejpam-3735	863	1	a	a	DET
ejpam-3735	863	2	,	,	PUNCT
ejpam-3735	863	3	(	(	PUNCT
ejpam-3735	863	4	2	2	X
ejpam-3735	863	5	)	)	PUNCT
ejpam-3735	863	6	if	if	SCONJ
ejpam-3735	863	7	a	a	DET
ejpam-3735	863	8	≤	≤	NUM
ejpam-3735	863	9	b	b	NOUN
ejpam-3735	863	10	,	,	PUNCT
ejpam-3735	863	11	b	b	PROPN
ejpam-3735	863	12	≤	≤	NOUN
ejpam-3735	863	13	c	c	NOUN
ejpam-3735	863	14	then	then	ADV
ejpam-3735	863	15	a	a	DET
ejpam-3735	863	16	≤	≤	PROPN
ejpam-3735	863	17	c	c	NOUN
ejpam-3735	863	18	,	,	PUNCT
ejpam-3735	863	19	(	(	PUNCT
ejpam-3735	863	20	3	3	X
ejpam-3735	863	21	)	)	PUNCT
ejpam-3735	863	22	if	if	SCONJ
ejpam-3735	863	23	a	a	DET
ejpam-3735	863	24	•	•	NOUN
ejpam-3735	863	25	b	b	X
ejpam-3735	864	1	=	=	SYM
ejpam-3735	864	2	c	c	NOUN
ejpam-3735	864	3	=	=	PUNCT
ejpam-3735	865	1	a	a	PRON
ejpam-3735	865	2	?	?	PUNCT
ejpam-3735	866	1	b	b	NOUN
ejpam-3735	866	2	then	then	ADV
ejpam-3735	867	1	c	c	PROPN
ejpam-3735	867	2	•	•	NOUN
ejpam-3735	867	3	a	a	DET
ejpam-3735	867	4	=	=	NOUN
ejpam-3735	867	5	c	c	NOUN
ejpam-3735	867	6	?	?	PUNCT
ejpam-3735	868	1	a	a	DET
ejpam-3735	868	2	,	,	PUNCT
ejpam-3735	868	3	(	(	PUNCT
ejpam-3735	868	4	4	4	NUM
ejpam-3735	868	5	)	)	PUNCT
ejpam-3735	868	6	(	(	PUNCT
ejpam-3735	868	7	a	a	DET
ejpam-3735	868	8	•	•	NUM
ejpam-3735	868	9	b	b	NOUN
ejpam-3735	868	10	)	)	PUNCT
ejpam-3735	868	11	•	•	NOUN
ejpam-3735	868	12	(	(	PUNCT
ejpam-3735	868	13	c	c	NOUN
ejpam-3735	868	14	•	•	NUM
ejpam-3735	868	15	b	b	NOUN
ejpam-3735	868	16	)	)	PUNCT
ejpam-3735	868	17	≤	≤	NOUN
ejpam-3735	868	18	a	a	DET
ejpam-3735	868	19	•	•	NOUN
ejpam-3735	868	20	c	c	NOUN
ejpam-3735	868	21	and	and	CCONJ
ejpam-3735	868	22	(	(	PUNCT
ejpam-3735	868	23	a	a	PRON
ejpam-3735	868	24	?	?	PUNCT
ejpam-3735	869	1	b	b	X
ejpam-3735	869	2	)	)	PUNCT
ejpam-3735	869	3	?	?	PUNCT
ejpam-3735	870	1	(	(	PUNCT
ejpam-3735	870	2	c	c	NOUN
ejpam-3735	870	3	?	?	PUNCT
ejpam-3735	871	1	b	b	X
ejpam-3735	871	2	)	)	PUNCT
ejpam-3735	871	3	≤	≤	NOUN
ejpam-3735	872	1	a	a	PRON
ejpam-3735	872	2	?	?	PUNCT
ejpam-3735	873	1	c	c	X
ejpam-3735	873	2	,	,	PUNCT
ejpam-3735	873	3	(	(	PUNCT
ejpam-3735	873	4	5	5	X
ejpam-3735	873	5	)	)	PUNCT
ejpam-3735	873	6	if	if	SCONJ
ejpam-3735	873	7	a	a	DET
ejpam-3735	873	8	≤	≤	NUM
ejpam-3735	873	9	b	b	NOUN
ejpam-3735	873	10	then	then	ADV
ejpam-3735	873	11	a	a	DET
ejpam-3735	873	12	•	•	NOUN
ejpam-3735	873	13	c	c	NOUN
ejpam-3735	873	14	≤	≤	NUM
ejpam-3735	873	15	b	b	NOUN
ejpam-3735	873	16	•	•	NUM
ejpam-3735	873	17	c	c	NOUN
ejpam-3735	873	18	and	and	CCONJ
ejpam-3735	873	19	a	a	PRON
ejpam-3735	873	20	?	?	PUNCT
ejpam-3735	874	1	c	c	NOUN
ejpam-3735	874	2	≤	≤	NUM
ejpam-3735	874	3	b	b	X
ejpam-3735	874	4	?	?	PUNCT
ejpam-3735	875	1	c.	c.	NOUN
ejpam-3735	875	2	references	reference	VERB
ejpam-3735	875	3	511	511	NUM
ejpam-3735	875	4	proof	proof	NOUN
ejpam-3735	875	5	.	.	PUNCT
ejpam-3735	876	1	(	(	PUNCT
ejpam-3735	876	2	1	1	X
ejpam-3735	876	3	)	)	PUNCT
ejpam-3735	876	4	let	let	VERB
ejpam-3735	876	5	a	a	DET
ejpam-3735	876	6	,	,	PUNCT
ejpam-3735	876	7	b	b	X
ejpam-3735	876	8	∈	∈	PROPN
ejpam-3735	876	9	e	e	NOUN
ejpam-3735	876	10	,	,	PUNCT
ejpam-3735	876	11	a	a	DET
ejpam-3735	876	12	≤	≤	PROPN
ejpam-3735	876	13	b	b	NOUN
ejpam-3735	876	14	then	then	ADV
ejpam-3735	876	15	a	a	DET
ejpam-3735	876	16	•	•	NOUN
ejpam-3735	876	17	b	b	X
ejpam-3735	876	18	=	=	SYM
ejpam-3735	876	19	0	0	PROPN
ejpam-3735	876	20	and	and	CCONJ
ejpam-3735	876	21	a	a	PRON
ejpam-3735	876	22	?	?	PUNCT
ejpam-3735	877	1	b	b	X
ejpam-3735	877	2	=	=	SYM
ejpam-3735	877	3	0	0	NUM
ejpam-3735	877	4	.	.	PUNCT
ejpam-3735	878	1	by	by	ADP
ejpam-3735	878	2	(	(	PUNCT
ejpam-3735	878	3	theorem	theorem	ADJ
ejpam-3735	878	4	8	8	NUM
ejpam-3735	878	5	(	(	PUNCT
ejpam-3735	878	6	3	3	NUM
ejpam-3735	878	7	)	)	PUNCT
ejpam-3735	878	8	)	)	PUNCT
ejpam-3735	878	9	then	then	ADV
ejpam-3735	878	10	(	(	PUNCT
ejpam-3735	878	11	c	c	NOUN
ejpam-3735	878	12	•	•	NUM
ejpam-3735	878	13	b	b	NOUN
ejpam-3735	878	14	)	)	PUNCT
ejpam-3735	878	15	?	?	PUNCT
ejpam-3735	879	1	(	(	PUNCT
ejpam-3735	879	2	c	c	NOUN
ejpam-3735	879	3	•	•	NUM
ejpam-3735	879	4	a	a	NOUN
ejpam-3735	879	5	)	)	PUNCT
ejpam-3735	879	6	=	=	SYM
ejpam-3735	879	7	a	a	DET
ejpam-3735	879	8	•	•	NUM
ejpam-3735	879	9	b	b	X
ejpam-3735	879	10	=	=	SYM
ejpam-3735	879	11	0	0	PROPN
ejpam-3735	880	1	and	and	CCONJ
ejpam-3735	880	2	(	(	PUNCT
ejpam-3735	880	3	c	c	NOUN
ejpam-3735	880	4	?	?	PUNCT
ejpam-3735	881	1	b	b	X
ejpam-3735	881	2	)	)	PUNCT
ejpam-3735	881	3	•	•	NOUN
ejpam-3735	881	4	(	(	PUNCT
ejpam-3735	881	5	c	c	NOUN
ejpam-3735	881	6	?	?	PUNCT
ejpam-3735	882	1	a	a	X
ejpam-3735	882	2	)	)	PUNCT
ejpam-3735	882	3	=	=	SYM
ejpam-3735	883	1	a	a	PRON
ejpam-3735	883	2	?	?	PUNCT
ejpam-3735	884	1	b	b	X
ejpam-3735	884	2	=	=	SYM
ejpam-3735	884	3	0	0	NUM
ejpam-3735	884	4	we	we	PRON
ejpam-3735	884	5	get	get	VERB
ejpam-3735	884	6	c	c	NOUN
ejpam-3735	884	7	•	•	NUM
ejpam-3735	884	8	b	b	X
ejpam-3735	884	9	≤	≤	NUM
ejpam-3735	884	10	c	c	NOUN
ejpam-3735	884	11	•	•	NOUN
ejpam-3735	884	12	a	a	PRON
ejpam-3735	884	13	and	and	CCONJ
ejpam-3735	884	14	c	c	NOUN
ejpam-3735	884	15	?	?	PUNCT
ejpam-3735	885	1	b	b	X
ejpam-3735	885	2	≤	≤	NUM
ejpam-3735	885	3	c	c	NOUN
ejpam-3735	885	4	?	?	PUNCT
ejpam-3735	886	1	a.	a.	NOUN
ejpam-3735	886	2	(	(	PUNCT
ejpam-3735	886	3	2	2	X
ejpam-3735	886	4	)	)	PUNCT
ejpam-3735	886	5	let	let	VERB
ejpam-3735	886	6	a	a	DET
ejpam-3735	886	7	,	,	PUNCT
ejpam-3735	886	8	b	b	NOUN
ejpam-3735	886	9	,	,	PUNCT
ejpam-3735	886	10	c	c	PROPN
ejpam-3735	886	11	∈	∈	PROPN
ejpam-3735	886	12	e	e	NOUN
ejpam-3735	886	13	,	,	PUNCT
ejpam-3735	886	14	a	a	DET
ejpam-3735	886	15	≤	≤	PROPN
ejpam-3735	886	16	b	b	NOUN
ejpam-3735	886	17	and	and	CCONJ
ejpam-3735	886	18	b	b	NOUN
ejpam-3735	886	19	≤	≤	NOUN
ejpam-3735	887	1	c	c	NOUN
ejpam-3735	887	2	we	we	PRON
ejpam-3735	887	3	have	have	VERB
ejpam-3735	887	4	a	a	DET
ejpam-3735	887	5	•	•	NOUN
ejpam-3735	887	6	b	b	NOUN
ejpam-3735	887	7	=	=	SYM
ejpam-3735	887	8	0	0	PROPN
ejpam-3735	887	9	,	,	PUNCT
ejpam-3735	887	10	a	a	DET
ejpam-3735	887	11	?	?	PUNCT
ejpam-3735	888	1	b	b	X
ejpam-3735	888	2	=	=	SYM
ejpam-3735	888	3	0	0	NUM
ejpam-3735	888	4	and	and	CCONJ
ejpam-3735	888	5	b	b	NUM
ejpam-3735	888	6	•	•	NUM
ejpam-3735	888	7	c	c	NOUN
ejpam-3735	888	8	=	=	SYM
ejpam-3735	888	9	0	0	NUM
ejpam-3735	888	10	,	,	PUNCT
ejpam-3735	888	11	b	b	NOUN
ejpam-3735	888	12	?	?	PUNCT
ejpam-3735	888	13	c	c	X
ejpam-3735	889	1	=	=	PUNCT
ejpam-3735	889	2	0	0	X
ejpam-3735	889	3	.	.	PUNCT
ejpam-3735	890	1	also	also	ADV
ejpam-3735	890	2	,	,	PUNCT
ejpam-3735	890	3	by	by	ADP
ejpam-3735	890	4	(	(	PUNCT
ejpam-3735	890	5	1	1	X
ejpam-3735	890	6	)	)	PUNCT
ejpam-3735	890	7	since	since	SCONJ
ejpam-3735	890	8	b	b	NOUN
ejpam-3735	890	9	≤	≤	NOUN
ejpam-3735	890	10	c	c	NOUN
ejpam-3735	890	11	then	then	ADV
ejpam-3735	890	12	a	a	DET
ejpam-3735	890	13	•	•	NOUN
ejpam-3735	890	14	c	c	NOUN
ejpam-3735	890	15	≤	≤	NOUN
ejpam-3735	890	16	a	a	DET
ejpam-3735	890	17	•	•	NOUN
ejpam-3735	890	18	b	b	PROPN
ejpam-3735	890	19	⇒	⇒	NOUN
ejpam-3735	890	20	a	a	DET
ejpam-3735	890	21	•	•	NOUN
ejpam-3735	890	22	c	c	NOUN
ejpam-3735	890	23	≤	≤	NOUN
ejpam-3735	890	24	0	0	NUM
ejpam-3735	890	25	.	.	PUNCT
ejpam-3735	891	1	by	by	ADP
ejpam-3735	891	2	(	(	PUNCT
ejpam-3735	891	3	proposition	proposition	NOUN
ejpam-3735	891	4	4	4	NUM
ejpam-3735	891	5	(	(	PUNCT
ejpam-3735	891	6	1	1	NUM
ejpam-3735	891	7	)	)	PUNCT
ejpam-3735	891	8	)	)	PUNCT
ejpam-3735	891	9	we	we	PRON
ejpam-3735	891	10	get	get	VERB
ejpam-3735	891	11	a	a	DET
ejpam-3735	891	12	•	•	NOUN
ejpam-3735	891	13	c	c	NOUN
ejpam-3735	891	14	=	=	SYM
ejpam-3735	891	15	0	0	PUNCT
ejpam-3735	892	1	and	and	CCONJ
ejpam-3735	892	2	so	so	ADV
ejpam-3735	892	3	a	a	DET
ejpam-3735	892	4	≤	≤	ADJ
ejpam-3735	892	5	c.	c.	NOUN
ejpam-3735	892	6	(	(	PUNCT
ejpam-3735	892	7	3	3	X
ejpam-3735	892	8	)	)	PUNCT
ejpam-3735	892	9	let	let	VERB
ejpam-3735	892	10	a	a	DET
ejpam-3735	892	11	•	•	NOUN
ejpam-3735	892	12	b	b	NOUN
ejpam-3735	893	1	=	=	SYM
ejpam-3735	893	2	c	c	NOUN
ejpam-3735	893	3	=	=	PUNCT
ejpam-3735	893	4	a	a	PRON
ejpam-3735	893	5	?	?	PUNCT
ejpam-3735	893	6	b.	b.	NOUN
ejpam-3735	893	7	by	by	ADP
ejpam-3735	893	8	using	use	VERB
ejpam-3735	893	9	(	(	PUNCT
ejpam-3735	893	10	pbf	pbf	NOUN
ejpam-3735	893	11	(	(	PUNCT
ejpam-3735	893	12	1	1	NUM
ejpam-3735	893	13	)	)	PUNCT
ejpam-3735	893	14	)	)	PUNCT
ejpam-3735	893	15	and	and	CCONJ
ejpam-3735	893	16	(	(	PUNCT
ejpam-3735	893	17	pbf	pbf	NOUN
ejpam-3735	893	18	∗	∗	NOUN
ejpam-3735	893	19	)	)	PUNCT
ejpam-3735	893	20	we	we	PRON
ejpam-3735	893	21	obtain	obtain	VERB
ejpam-3735	893	22	c	c	NOUN
ejpam-3735	893	23	?	?	PUNCT
ejpam-3735	894	1	a	a	PRON
ejpam-3735	894	2	=	=	PUNCT
ejpam-3735	894	3	(	(	PUNCT
ejpam-3735	894	4	a	a	DET
ejpam-3735	894	5	•	•	NUM
ejpam-3735	894	6	b	b	NOUN
ejpam-3735	894	7	)	)	PUNCT
ejpam-3735	894	8	?	?	PUNCT
ejpam-3735	895	1	a	a	DET
ejpam-3735	895	2	=	=	X
ejpam-3735	895	3	(	(	PUNCT
ejpam-3735	895	4	a	a	NOUN
ejpam-3735	895	5	?	?	PUNCT
ejpam-3735	895	6	a	a	X
ejpam-3735	895	7	)	)	PUNCT
ejpam-3735	895	8	•	•	NOUN
ejpam-3735	895	9	b	b	X
ejpam-3735	895	10	=	=	SYM
ejpam-3735	895	11	0	0	PROPN
ejpam-3735	895	12	•	•	NOUN
ejpam-3735	895	13	b.	b.	PROPN
ejpam-3735	895	14	by	by	ADP
ejpam-3735	895	15	(	(	PUNCT
ejpam-3735	895	16	proposition	proposition	NOUN
ejpam-3735	895	17	4	4	NUM
ejpam-3735	895	18	(	(	PUNCT
ejpam-3735	895	19	6	6	NUM
ejpam-3735	895	20	)	)	PUNCT
ejpam-3735	895	21	)	)	PUNCT
ejpam-3735	895	22	,	,	PUNCT
ejpam-3735	895	23	0	0	NUM
ejpam-3735	895	24	•	•	NUM
ejpam-3735	895	25	b	b	X
ejpam-3735	895	26	=	=	NOUN
ejpam-3735	895	27	0	0	PUNCT
ejpam-3735	895	28	?	?	PUNCT
ejpam-3735	896	1	b.	b.	NOUN
ejpam-3735	896	2	using	use	VERB
ejpam-3735	896	3	(	(	PUNCT
ejpam-3735	896	4	pbf	pbf	NOUN
ejpam-3735	896	5	(	(	PUNCT
ejpam-3735	896	6	1	1	NUM
ejpam-3735	896	7	)	)	PUNCT
ejpam-3735	896	8	)	)	PUNCT
ejpam-3735	896	9	and	and	CCONJ
ejpam-3735	896	10	(	(	PUNCT
ejpam-3735	896	11	pbf	pbf	NOUN
ejpam-3735	896	12	∗	∗	NOUN
ejpam-3735	896	13	)	)	PUNCT
ejpam-3735	896	14	we	we	PRON
ejpam-3735	896	15	have	have	VERB
ejpam-3735	896	16	0	0	NUM
ejpam-3735	896	17	?	?	PUNCT
ejpam-3735	897	1	b	b	X
ejpam-3735	897	2	=	=	PUNCT
ejpam-3735	897	3	(	(	PUNCT
ejpam-3735	897	4	a	a	PRON
ejpam-3735	897	5	•	•	NOUN
ejpam-3735	897	6	a	a	NOUN
ejpam-3735	897	7	)	)	PUNCT
ejpam-3735	897	8	?	?	PUNCT
ejpam-3735	898	1	b	b	X
ejpam-3735	898	2	=	=	PUNCT
ejpam-3735	898	3	(	(	PUNCT
ejpam-3735	898	4	a	a	PRON
ejpam-3735	898	5	?	?	PUNCT
ejpam-3735	899	1	b	b	X
ejpam-3735	899	2	)	)	PUNCT
ejpam-3735	899	3	•	•	NOUN
ejpam-3735	899	4	a	a	DET
ejpam-3735	899	5	=	=	SYM
ejpam-3735	899	6	c	c	NOUN
ejpam-3735	899	7	•	•	NOUN
ejpam-3735	899	8	a.	a.	NOUN
ejpam-3735	899	9	(	(	PUNCT
ejpam-3735	899	10	4	4	NUM
ejpam-3735	899	11	)	)	PUNCT
ejpam-3735	899	12	by	by	ADP
ejpam-3735	899	13	(	(	PUNCT
ejpam-3735	899	14	pbf	pbf	NOUN
ejpam-3735	899	15	∗	∗	NOUN
ejpam-3735	899	16	)	)	PUNCT
ejpam-3735	899	17	,	,	PUNCT
ejpam-3735	899	18	(	(	PUNCT
ejpam-3735	899	19	theorem	theorem	ADJ
ejpam-3735	899	20	8	8	NUM
ejpam-3735	899	21	(	(	PUNCT
ejpam-3735	899	22	3	3	NUM
ejpam-3735	899	23	)	)	PUNCT
ejpam-3735	899	24	)	)	PUNCT
ejpam-3735	900	1	and	and	CCONJ
ejpam-3735	900	2	(	(	PUNCT
ejpam-3735	900	3	pbf	pbf	NOUN
ejpam-3735	900	4	(	(	PUNCT
ejpam-3735	900	5	1	1	NUM
ejpam-3735	900	6	)	)	PUNCT
ejpam-3735	900	7	)	)	PUNCT
ejpam-3735	900	8	,	,	PUNCT
ejpam-3735	900	9	respectively	respectively	ADV
ejpam-3735	900	10	we	we	PRON
ejpam-3735	900	11	have	have	VERB
ejpam-3735	900	12	[	[	X
ejpam-3735	900	13	(	(	PUNCT
ejpam-3735	900	14	a	a	DET
ejpam-3735	900	15	•	•	NUM
ejpam-3735	900	16	b	b	NOUN
ejpam-3735	900	17	)	)	PUNCT
ejpam-3735	900	18	•	•	NOUN
ejpam-3735	900	19	(	(	PUNCT
ejpam-3735	900	20	c	c	NOUN
ejpam-3735	900	21	•	•	NUM
ejpam-3735	900	22	b	b	NOUN
ejpam-3735	900	23	)	)	PUNCT
ejpam-3735	900	24	]	]	PUNCT
ejpam-3735	900	25	?	?	PUNCT
ejpam-3735	901	1	(	(	PUNCT
ejpam-3735	901	2	a	a	DET
ejpam-3735	901	3	•	•	NOUN
ejpam-3735	901	4	c	c	NOUN
ejpam-3735	901	5	)	)	PUNCT
ejpam-3735	901	6	=	=	PUNCT
ejpam-3735	902	1	[	[	X
ejpam-3735	902	2	(	(	PUNCT
ejpam-3735	902	3	a	a	DET
ejpam-3735	902	4	•	•	NUM
ejpam-3735	902	5	b	b	NOUN
ejpam-3735	902	6	)	)	PUNCT
ejpam-3735	902	7	?	?	PUNCT
ejpam-3735	903	1	(	(	PUNCT
ejpam-3735	903	2	a	a	DET
ejpam-3735	903	3	•	•	NOUN
ejpam-3735	903	4	c	c	NOUN
ejpam-3735	903	5	)	)	PUNCT
ejpam-3735	903	6	]	]	PUNCT
ejpam-3735	904	1	•	•	X
ejpam-3735	904	2	(	(	PUNCT
ejpam-3735	904	3	c	c	NOUN
ejpam-3735	904	4	•	•	NUM
ejpam-3735	904	5	b	b	NOUN
ejpam-3735	904	6	)	)	PUNCT
ejpam-3735	904	7	=	=	SYM
ejpam-3735	904	8	(	(	PUNCT
ejpam-3735	904	9	c	c	NOUN
ejpam-3735	904	10	•	•	NUM
ejpam-3735	904	11	b	b	NOUN
ejpam-3735	904	12	)	)	PUNCT
ejpam-3735	904	13	•	•	NOUN
ejpam-3735	904	14	(	(	PUNCT
ejpam-3735	904	15	c	c	NOUN
ejpam-3735	904	16	•	•	NUM
ejpam-3735	904	17	b	b	NOUN
ejpam-3735	904	18	)	)	PUNCT
ejpam-3735	904	19	=	=	SYM
ejpam-3735	905	1	0	0	X
ejpam-3735	905	2	.	.	PUNCT
ejpam-3735	906	1	then	then	ADV
ejpam-3735	906	2	(	(	PUNCT
ejpam-3735	906	3	a	a	DET
ejpam-3735	906	4	•	•	NUM
ejpam-3735	906	5	b	b	NOUN
ejpam-3735	906	6	)	)	PUNCT
ejpam-3735	906	7	•	•	NOUN
ejpam-3735	906	8	(	(	PUNCT
ejpam-3735	906	9	c	c	NOUN
ejpam-3735	906	10	•	•	NUM
ejpam-3735	906	11	b	b	NOUN
ejpam-3735	906	12	)	)	PUNCT
ejpam-3735	906	13	≤	≤	NOUN
ejpam-3735	906	14	a	a	DET
ejpam-3735	906	15	•	•	NOUN
ejpam-3735	906	16	c.	c.	NOUN
ejpam-3735	906	17	similarly	similarly	ADV
ejpam-3735	906	18	,	,	PUNCT
ejpam-3735	906	19	(	(	PUNCT
ejpam-3735	906	20	a	a	PRON
ejpam-3735	906	21	?	?	PUNCT
ejpam-3735	906	22	b	b	X
ejpam-3735	906	23	)	)	PUNCT
ejpam-3735	906	24	?	?	PUNCT
ejpam-3735	907	1	(	(	PUNCT
ejpam-3735	907	2	c	c	NOUN
ejpam-3735	907	3	?	?	PUNCT
ejpam-3735	908	1	b	b	X
ejpam-3735	908	2	)	)	PUNCT
ejpam-3735	908	3	≤	≤	NOUN
ejpam-3735	909	1	a	a	PRON
ejpam-3735	909	2	?	?	PUNCT
ejpam-3735	910	1	c.	c.	NOUN
ejpam-3735	910	2	(	(	PUNCT
ejpam-3735	910	3	5	5	X
ejpam-3735	910	4	)	)	PUNCT
ejpam-3735	910	5	suppose	suppose	VERB
ejpam-3735	910	6	that	that	SCONJ
ejpam-3735	910	7	a	a	DET
ejpam-3735	910	8	,	,	PUNCT
ejpam-3735	910	9	b	b	X
ejpam-3735	910	10	∈	∈	PROPN
ejpam-3735	910	11	e	e	NOUN
ejpam-3735	910	12	,	,	PUNCT
ejpam-3735	910	13	a	a	DET
ejpam-3735	910	14	≤	≤	PROPN
ejpam-3735	910	15	b	b	NOUN
ejpam-3735	910	16	we	we	PRON
ejpam-3735	910	17	have	have	VERB
ejpam-3735	910	18	a	a	DET
ejpam-3735	910	19	•	•	NOUN
ejpam-3735	910	20	b	b	NOUN
ejpam-3735	910	21	=	=	SYM
ejpam-3735	910	22	0	0	PROPN
ejpam-3735	910	23	,	,	PUNCT
ejpam-3735	910	24	a	a	PRON
ejpam-3735	910	25	?	?	PUNCT
ejpam-3735	911	1	b	b	X
ejpam-3735	911	2	=	=	SYM
ejpam-3735	911	3	0	0	X
ejpam-3735	911	4	.	.	PUNCT
ejpam-3735	912	1	using	use	VERB
ejpam-3735	912	2	(	(	PUNCT
ejpam-3735	912	3	4	4	NUM
ejpam-3735	912	4	)	)	PUNCT
ejpam-3735	912	5	,	,	PUNCT
ejpam-3735	912	6	we	we	PRON
ejpam-3735	912	7	have	have	VERB
ejpam-3735	912	8	(	(	PUNCT
ejpam-3735	912	9	a	a	DET
ejpam-3735	912	10	•	•	NOUN
ejpam-3735	912	11	c	c	NOUN
ejpam-3735	912	12	)	)	PUNCT
ejpam-3735	913	1	•	•	NOUN
ejpam-3735	914	1	(	(	PUNCT
ejpam-3735	914	2	b	b	NOUN
ejpam-3735	914	3	•	•	NUM
ejpam-3735	914	4	c	c	NOUN
ejpam-3735	914	5	)	)	PUNCT
ejpam-3735	914	6	≤	≤	NOUN
ejpam-3735	914	7	a	a	DET
ejpam-3735	914	8	•	•	NOUN
ejpam-3735	914	9	b	b	NOUN
ejpam-3735	914	10	but	but	CCONJ
ejpam-3735	914	11	a	a	DET
ejpam-3735	914	12	•	•	NOUN
ejpam-3735	914	13	b	b	NOUN
ejpam-3735	914	14	=	=	SYM
ejpam-3735	914	15	0	0	NUM
ejpam-3735	914	16	.	.	PUNCT
ejpam-3735	915	1	by	by	ADP
ejpam-3735	915	2	(	(	PUNCT
ejpam-3735	915	3	proposition	proposition	NOUN
ejpam-3735	915	4	4	4	NUM
ejpam-3735	915	5	(	(	PUNCT
ejpam-3735	915	6	1	1	NUM
ejpam-3735	915	7	)	)	PUNCT
ejpam-3735	915	8	)	)	PUNCT
ejpam-3735	916	1	then	then	ADV
ejpam-3735	916	2	(	(	PUNCT
ejpam-3735	916	3	a	a	DET
ejpam-3735	916	4	•	•	NUM
ejpam-3735	916	5	c	c	NOUN
ejpam-3735	916	6	)	)	PUNCT
ejpam-3735	916	7	•	•	NOUN
ejpam-3735	916	8	(	(	PUNCT
ejpam-3735	916	9	b	b	NOUN
ejpam-3735	916	10	•	•	NUM
ejpam-3735	916	11	c	c	NOUN
ejpam-3735	916	12	)	)	PUNCT
ejpam-3735	916	13	=	=	SYM
ejpam-3735	916	14	0	0	NUM
ejpam-3735	917	1	and	and	CCONJ
ejpam-3735	917	2	so	so	ADV
ejpam-3735	917	3	a	a	DET
ejpam-3735	917	4	•	•	NOUN
ejpam-3735	917	5	c	c	NOUN
ejpam-3735	917	6	≤	≤	NUM
ejpam-3735	917	7	b	b	NOUN
ejpam-3735	917	8	•	•	NOUN
ejpam-3735	917	9	c.	c.	NOUN
ejpam-3735	917	10	by	by	ADP
ejpam-3735	917	11	a	a	DET
ejpam-3735	917	12	similar	similar	ADJ
ejpam-3735	917	13	way	way	NOUN
ejpam-3735	917	14	,	,	PUNCT
ejpam-3735	917	15	we	we	PRON
ejpam-3735	917	16	can	can	AUX
ejpam-3735	917	17	show	show	VERB
ejpam-3735	917	18	that	that	SCONJ
ejpam-3735	917	19	a	a	DET
ejpam-3735	917	20	?	?	PUNCT
ejpam-3735	917	21	c	c	NOUN
ejpam-3735	917	22	≤	≤	NUM
ejpam-3735	917	23	b	b	X
ejpam-3735	917	24	?	?	PUNCT
ejpam-3735	918	1	c.	c.	PROPN
ejpam-3735	918	2	theorem	theorem	VERB
ejpam-3735	918	3	10	10	NUM
ejpam-3735	918	4	.	.	PUNCT
ejpam-3735	919	1	in	in	ADP
ejpam-3735	919	2	a	a	DET
ejpam-3735	919	3	pseudo	pseudo	NOUN
ejpam-3735	919	4	-	-	NOUN
ejpam-3735	919	5	bf	bf	NOUN
ejpam-3735	919	6	∗-algebra	∗-algebra	NOUN
ejpam-3735	919	7	(	(	PUNCT
ejpam-3735	919	8	e	e	NOUN
ejpam-3735	919	9	;	;	PUNCT
ejpam-3735	919	10	•	•	NUM
ejpam-3735	919	11	,	,	PUNCT
ejpam-3735	919	12	?	?	PUNCT
ejpam-3735	919	13	,	,	PUNCT
ejpam-3735	919	14	0	0	NUM
ejpam-3735	919	15	)	)	PUNCT
ejpam-3735	919	16	,	,	PUNCT
ejpam-3735	919	17	the	the	DET
ejpam-3735	919	18	set	set	NOUN
ejpam-3735	919	19	k(e	k(e	PROPN
ejpam-3735	919	20	)	)	PUNCT
ejpam-3735	919	21	is	be	AUX
ejpam-3735	919	22	a	a	DET
ejpam-3735	919	23	pseudo	pseudo	NOUN
ejpam-3735	919	24	-	-	NOUN
ejpam-3735	919	25	subalgebra	subalgebra	NOUN
ejpam-3735	919	26	.	.	PUNCT
ejpam-3735	920	1	proof	proof	NOUN
ejpam-3735	920	2	.	.	PUNCT
ejpam-3735	921	1	for	for	ADP
ejpam-3735	921	2	a	a	DET
ejpam-3735	921	3	,	,	PUNCT
ejpam-3735	921	4	b	b	PROPN
ejpam-3735	921	5	∈	∈	PROPN
ejpam-3735	921	6	k(e	k(e	PROPN
ejpam-3735	921	7	)	)	PUNCT
ejpam-3735	921	8	,	,	PUNCT
ejpam-3735	921	9	we	we	PRON
ejpam-3735	921	10	have	have	VERB
ejpam-3735	921	11	0	0	NUM
ejpam-3735	921	12	≤	≤	NOUN
ejpam-3735	921	13	a	a	DET
ejpam-3735	921	14	,	,	PUNCT
ejpam-3735	921	15	0	0	NUM
ejpam-3735	921	16	≤	≤	NUM
ejpam-3735	921	17	b	b	NOUN
ejpam-3735	921	18	,	,	PUNCT
ejpam-3735	921	19	then	then	ADV
ejpam-3735	921	20	0	0	NUM
ejpam-3735	921	21	•	•	NOUN
ejpam-3735	921	22	a	a	DET
ejpam-3735	921	23	=	=	NOUN
ejpam-3735	921	24	0	0	NUM
ejpam-3735	921	25	,	,	PUNCT
ejpam-3735	921	26	0	0	NUM
ejpam-3735	921	27	?	?	PUNCT
ejpam-3735	922	1	a	a	PRON
ejpam-3735	922	2	=	=	NOUN
ejpam-3735	922	3	0	0	NUM
ejpam-3735	922	4	and	and	CCONJ
ejpam-3735	922	5	0	0	NUM
ejpam-3735	922	6	•	•	NUM
ejpam-3735	922	7	b	b	X
ejpam-3735	922	8	=	=	SYM
ejpam-3735	922	9	0	0	NUM
ejpam-3735	922	10	,	,	PUNCT
ejpam-3735	922	11	0	0	NUM
ejpam-3735	922	12	?	?	PUNCT
ejpam-3735	923	1	b	b	X
ejpam-3735	923	2	=	=	SYM
ejpam-3735	923	3	0	0	NUM
ejpam-3735	923	4	.	.	PUNCT
ejpam-3735	924	1	by	by	ADP
ejpam-3735	924	2	using	use	VERB
ejpam-3735	924	3	(	(	PUNCT
ejpam-3735	924	4	proposition	proposition	NOUN
ejpam-3735	924	5	12	12	NUM
ejpam-3735	924	6	(	(	PUNCT
ejpam-3735	924	7	5	5	NUM
ejpam-3735	924	8	)	)	PUNCT
ejpam-3735	924	9	)	)	PUNCT
ejpam-3735	924	10	since	since	SCONJ
ejpam-3735	924	11	0	0	NUM
ejpam-3735	924	12	≤	≤	NOUN
ejpam-3735	924	13	a	a	PRON
ejpam-3735	924	14	we	we	PRON
ejpam-3735	924	15	get	get	VERB
ejpam-3735	924	16	0	0	NUM
ejpam-3735	924	17	•	•	NUM
ejpam-3735	924	18	b	b	NOUN
ejpam-3735	924	19	≤	≤	NUM
ejpam-3735	924	20	a	a	DET
ejpam-3735	924	21	•	•	NOUN
ejpam-3735	924	22	b	b	NOUN
ejpam-3735	924	23	and	and	CCONJ
ejpam-3735	924	24	0	0	NUM
ejpam-3735	924	25	?	?	PUNCT
ejpam-3735	925	1	b	b	X
ejpam-3735	925	2	≤	≤	NUM
ejpam-3735	926	1	a	a	DET
ejpam-3735	926	2	?	?	PUNCT
ejpam-3735	926	3	b.	b.	NOUN
ejpam-3735	927	1	hence	hence	ADV
ejpam-3735	927	2	0	0	NUM
ejpam-3735	927	3	≤	≤	NUM
ejpam-3735	927	4	a•b	a•b	NOUN
ejpam-3735	927	5	and	and	CCONJ
ejpam-3735	927	6	0	0	NUM
ejpam-3735	927	7	≤	≤	NUM
ejpam-3735	927	8	a?b	a?b	ADV
ejpam-3735	927	9	and	and	CCONJ
ejpam-3735	927	10	so	so	ADV
ejpam-3735	927	11	a•b	a•b	PROPN
ejpam-3735	927	12	,	,	PUNCT
ejpam-3735	927	13	a?b	a?b	PROPN
ejpam-3735	927	14	∈	∈	PROPN
ejpam-3735	927	15	k(e	k(e	PROPN
ejpam-3735	927	16	)	)	PUNCT
ejpam-3735	927	17	.	.	PUNCT
ejpam-3735	928	1	thus	thus	ADV
ejpam-3735	928	2	k(e	k(e	NOUN
ejpam-3735	928	3	)	)	PUNCT
ejpam-3735	928	4	is	be	AUX
ejpam-3735	928	5	a	a	DET
ejpam-3735	928	6	pseudo	pseudo	NOUN
ejpam-3735	928	7	-	-	NOUN
ejpam-3735	928	8	subalgebra	subalgebra	NOUN
ejpam-3735	928	9	of	of	ADP
ejpam-3735	928	10	e.	e.	PROPN
ejpam-3735	928	11	references	reference	NOUN
ejpam-3735	928	12	[	[	X
ejpam-3735	928	13	1	1	NUM
ejpam-3735	928	14	]	]	PUNCT
ejpam-3735	928	15	r.	r.	PROPN
ejpam-3735	928	16	a.	a.	PROPN
ejpam-3735	928	17	borzooei	borzooei	PROPN
ejpam-3735	928	18	,	,	PUNCT
ejpam-3735	928	19	a.	a.	PROPN
ejpam-3735	928	20	b.	b.	PROPN
ejpam-3735	928	21	saeid	saeid	PROPN
ejpam-3735	928	22	,	,	PUNCT
ejpam-3735	928	23	a.	a.	PROPN
ejpam-3735	928	24	rezaei	rezaei	PROPN
ejpam-3735	928	25	,	,	PUNCT
ejpam-3735	928	26	a.	a.	NOUN
ejpam-3735	928	27	radfar	radfar	ADV
ejpam-3735	928	28	,	,	PUNCT
ejpam-3735	928	29	and	and	CCONJ
ejpam-3735	928	30	r.	r.	PROPN
ejpam-3735	928	31	ameri	ameri	PROPN
ejpam-3735	928	32	.	.	PUNCT
ejpam-3735	929	1	on	on	ADP
ejpam-3735	929	2	pseudo	pseudo	NOUN
ejpam-3735	929	3	bealgebras	bealgebras	X
ejpam-3735	929	4	.	.	PUNCT
ejpam-3735	930	1	discussiones	discussione	NOUN
ejpam-3735	930	2	mathematicae	mathematicae	VERB
ejpam-3735	930	3	general	general	ADJ
ejpam-3735	930	4	algebra	algebra	PROPN
ejpam-3735	930	5	and	and	CCONJ
ejpam-3735	930	6	applications	application	NOUN
ejpam-3735	930	7	,	,	PUNCT
ejpam-3735	930	8	33(1):95–108	33(1):95–108	NUM
ejpam-3735	930	9	,	,	PUNCT
ejpam-3735	930	10	2013	2013	NUM
ejpam-3735	930	11	.	.	PUNCT
ejpam-3735	931	1	[	[	X
ejpam-3735	931	2	2	2	NUM
ejpam-3735	931	3	]	]	PUNCT
ejpam-3735	931	4	m.	m.	NOUN
ejpam-3735	931	5	chandramouleeswaran	chandramouleeswaran	NOUN
ejpam-3735	931	6	and	and	CCONJ
ejpam-3735	931	7	p.	p.	NOUN
ejpam-3735	931	8	muralikrishna	muralikrishna	NOUN
ejpam-3735	931	9	.	.	PUNCT
ejpam-3735	932	1	the	the	DET
ejpam-3735	932	2	intuitionistic	intuitionistic	ADJ
ejpam-3735	932	3	l	l	ADJ
ejpam-3735	932	4	-	-	ADJ
ejpam-3735	932	5	fuzzy	fuzzy	ADJ
ejpam-3735	932	6	bf	bf	NOUN
ejpam-3735	932	7	subalgebras	subalgebras	PROPN
ejpam-3735	932	8	.	.	PUNCT
ejpam-3735	933	1	global	global	ADJ
ejpam-3735	933	2	journal	journal	PROPN
ejpam-3735	933	3	pure	pure	ADJ
ejpam-3735	933	4	and	and	CCONJ
ejpam-3735	933	5	applied	applied	ADJ
ejpam-3735	933	6	mathematics	mathematic	NOUN
ejpam-3735	933	7	,	,	PUNCT
ejpam-3735	933	8	6(1):1–6	6(1):1–6	NUM
ejpam-3735	933	9	,	,	PUNCT
ejpam-3735	933	10	2010	2010	NUM
ejpam-3735	933	11	.	.	PUNCT
ejpam-3735	934	1	[	[	X
ejpam-3735	934	2	3	3	NUM
ejpam-3735	934	3	]	]	X
ejpam-3735	934	4	l.	l.	PROPN
ejpam-3735	934	5	c.	c.	PROPN
ejpam-3735	934	6	ciungu	ciungu	PROPN
ejpam-3735	934	7	.	.	PUNCT
ejpam-3735	935	1	commutative	commutative	ADJ
ejpam-3735	935	2	pseudo	pseudo	NOUN
ejpam-3735	935	3	-	-	PUNCT
ejpam-3735	935	4	be	be	NOUN
ejpam-3735	935	5	-	-	PUNCT
ejpam-3735	935	6	algebras	algebra	NOUN
ejpam-3735	935	7	.	.	PUNCT
ejpam-3735	936	1	iranian	iranian	ADJ
ejpam-3735	936	2	journal	journal	PROPN
ejpam-3735	936	3	of	of	ADP
ejpam-3735	936	4	fuzzy	fuzzy	ADJ
ejpam-3735	936	5	systems	system	NOUN
ejpam-3735	936	6	,	,	PUNCT
ejpam-3735	936	7	13(1):131–144	13(1):131–144	NUM
ejpam-3735	936	8	,	,	PUNCT
ejpam-3735	936	9	2016	2016	NUM
ejpam-3735	936	10	.	.	PUNCT
ejpam-3735	937	1	[	[	X
ejpam-3735	937	2	4	4	X
ejpam-3735	937	3	]	]	PUNCT
ejpam-3735	937	4	w.	w.	PROPN
ejpam-3735	937	5	a.	a.	PROPN
ejpam-3735	937	6	dudek	dudek	PROPN
ejpam-3735	937	7	and	and	CCONJ
ejpam-3735	937	8	y.	y.	PROPN
ejpam-3735	937	9	b.	b.	PROPN
ejpam-3735	937	10	jun	jun	PROPN
ejpam-3735	937	11	.	.	PROPN
ejpam-3735	937	12	pseudo	pseudo	PROPN
ejpam-3735	937	13	-	-	PUNCT
ejpam-3735	937	14	bci	bci	ADJ
ejpam-3735	937	15	algebras	algebra	NOUN
ejpam-3735	937	16	.	.	PUNCT
ejpam-3735	937	17	east	east	PROPN
ejpam-3735	937	18	asian	asian	PROPN
ejpam-3735	937	19	mathematical	mathematical	ADJ
ejpam-3735	937	20	journal	journal	NOUN
ejpam-3735	937	21	,	,	PUNCT
ejpam-3735	937	22	24(2):187–190	24(2):187–190	PROPN
ejpam-3735	937	23	,	,	PUNCT
ejpam-3735	937	24	2008	2008	NUM
ejpam-3735	937	25	.	.	PUNCT
ejpam-3735	938	1	[	[	X
ejpam-3735	938	2	5	5	X
ejpam-3735	938	3	]	]	PUNCT
ejpam-3735	938	4	g.	g.	PROPN
ejpam-3735	938	5	georgescu	georgescu	PROPN
ejpam-3735	938	6	.	.	PUNCT
ejpam-3735	939	1	pseudo	pseudo	NOUN
ejpam-3735	939	2	-	-	PROPN
ejpam-3735	939	3	mv	mv	PROPN
ejpam-3735	939	4	algebras	algebra	NOUN
ejpam-3735	939	5	:	:	PUNCT
ejpam-3735	939	6	a	a	DET
ejpam-3735	939	7	noncommutative	noncommutative	ADJ
ejpam-3735	939	8	extension	extension	NOUN
ejpam-3735	939	9	of	of	ADP
ejpam-3735	939	10	mv	mv	PROPN
ejpam-3735	939	11	algebras	algebras	PROPN
ejpam-3735	939	12	.	.	PUNCT
ejpam-3735	940	1	in	in	ADP
ejpam-3735	940	2	in	in	ADP
ejpam-3735	940	3	the	the	DET
ejpam-3735	940	4	proceedings	proceeding	NOUN
ejpam-3735	940	5	of	of	ADP
ejpam-3735	940	6	the	the	DET
ejpam-3735	940	7	fourth	fourth	ADJ
ejpam-3735	940	8	international	international	ADJ
ejpam-3735	940	9	symposium	symposium	NOUN
ejpam-3735	940	10	on	on	ADP
ejpam-3735	940	11	economic	economic	ADJ
ejpam-3735	940	12	informatics	informatic	NOUN
ejpam-3735	940	13	,	,	PUNCT
ejpam-3735	940	14	bucharest	buchar	ADJ
ejpam-3735	940	15	,	,	PUNCT
ejpam-3735	940	16	romania	romania	PROPN
ejpam-3735	940	17	,	,	PUNCT
ejpam-3735	940	18	1999	1999	NUM
ejpam-3735	940	19	.	.	PUNCT
ejpam-3735	941	1	references	reference	NOUN
ejpam-3735	941	2	512	512	NUM
ejpam-3735	941	3	[	[	SYM
ejpam-3735	941	4	6	6	NUM
ejpam-3735	941	5	]	]	PUNCT
ejpam-3735	941	6	g.	g.	PROPN
ejpam-3735	941	7	georgescu	georgescu	PROPN
ejpam-3735	941	8	and	and	CCONJ
ejpam-3735	941	9	a.	a.	NOUN
ejpam-3735	941	10	iorgulescu	iorgulescu	NOUN
ejpam-3735	941	11	.	.	PUNCT
ejpam-3735	942	1	pseudo	pseudo	NOUN
ejpam-3735	942	2	-	-	ADJ
ejpam-3735	942	3	bck	bck	ADJ
ejpam-3735	942	4	algebras	algebra	NOUN
ejpam-3735	942	5	:	:	PUNCT
ejpam-3735	942	6	an	an	DET
ejpam-3735	942	7	extension	extension	NOUN
ejpam-3735	942	8	of	of	ADP
ejpam-3735	942	9	bck	bck	PROPN
ejpam-3735	942	10	algebras	algebra	NOUN
ejpam-3735	942	11	,	,	PUNCT
ejpam-3735	942	12	in	in	ADP
ejpam-3735	942	13	combinatorics	combinatoric	NOUN
ejpam-3735	942	14	,	,	PUNCT
ejpam-3735	942	15	computability	computability	NOUN
ejpam-3735	942	16	and	and	CCONJ
ejpam-3735	942	17	logic	logic	NOUN
ejpam-3735	942	18	.	.	PUNCT
ejpam-3735	943	1	springer	springer	PROPN
ejpam-3735	943	2	,	,	PUNCT
ejpam-3735	943	3	london	london	PROPN
ejpam-3735	943	4	,	,	PUNCT
ejpam-3735	943	5	2001	2001	NUM
ejpam-3735	943	6	.	.	PUNCT
ejpam-3735	944	1	[	[	X
ejpam-3735	944	2	7	7	X
ejpam-3735	944	3	]	]	X
ejpam-3735	944	4	y.	y.	PROPN
ejpam-3735	944	5	imai	imai	PROPN
ejpam-3735	944	6	.	.	PUNCT
ejpam-3735	945	1	on	on	ADP
ejpam-3735	945	2	axiom	axiom	NOUN
ejpam-3735	945	3	systems	system	NOUN
ejpam-3735	945	4	of	of	ADP
ejpam-3735	945	5	propositional	propositional	ADJ
ejpam-3735	945	6	calculi	calculi	PROPN
ejpam-3735	945	7	xiv	xiv	PROPN
ejpam-3735	945	8	.	.	PUNCT
ejpam-3735	946	1	proc	proc	PROPN
ejpam-3735	946	2	.	.	PUNCT
ejpam-3735	947	1	japan	japan	PROPN
ejpam-3735	947	2	academy	academy	PROPN
ejpam-3735	947	3	,	,	PUNCT
ejpam-3735	947	4	42:19	42:19	NUM
ejpam-3735	947	5	–	–	PUNCT
ejpam-3735	947	6	22	22	NUM
ejpam-3735	947	7	,	,	PUNCT
ejpam-3735	947	8	1966	1966	NUM
ejpam-3735	947	9	.	.	PUNCT
ejpam-3735	948	1	[	[	X
ejpam-3735	948	2	8	8	NUM
ejpam-3735	948	3	]	]	PUNCT
ejpam-3735	948	4	k.	k.	PROPN
ejpam-3735	948	5	iski	iski	PROPN
ejpam-3735	948	6	.	.	PUNCT
ejpam-3735	949	1	an	an	DET
ejpam-3735	949	2	algebra	algebra	NOUN
ejpam-3735	949	3	related	relate	VERB
ejpam-3735	949	4	with	with	ADP
ejpam-3735	949	5	a	a	DET
ejpam-3735	949	6	propositional	propositional	ADJ
ejpam-3735	949	7	calculus	calculus	NOUN
ejpam-3735	949	8	.	.	PUNCT
ejpam-3735	950	1	proceedings	proceeding	NOUN
ejpam-3735	950	2	of	of	ADP
ejpam-3735	950	3	the	the	DET
ejpam-3735	950	4	japan	japan	PROPN
ejpam-3735	950	5	academy	academy	PROPN
ejpam-3735	950	6	,	,	PUNCT
ejpam-3735	950	7	42(1):26–29	42(1):26–29	NUM
ejpam-3735	950	8	,	,	PUNCT
ejpam-3735	950	9	1966	1966	NUM
ejpam-3735	950	10	.	.	PUNCT
ejpam-3735	951	1	[	[	X
ejpam-3735	951	2	9	9	X
ejpam-3735	951	3	]	]	X
ejpam-3735	951	4	y.	y.	PROPN
ejpam-3735	951	5	b.	b.	PROPN
ejpam-3735	951	6	jun	jun	PROPN
ejpam-3735	951	7	,	,	PUNCT
ejpam-3735	951	8	,	,	PUNCT
ejpam-3735	951	9	and	and	CCONJ
ejpam-3735	951	10	s.	s.	PROPN
ejpam-3735	951	11	s.	s.	PROPN
ejpam-3735	951	12	ahn	ahn	PROPN
ejpam-3735	951	13	.	.	PROPN
ejpam-3735	952	1	on	on	ADP
ejpam-3735	952	2	pseudo	pseudo	NOUN
ejpam-3735	952	3	bh	bh	NOUN
ejpam-3735	952	4	-	-	PUNCT
ejpam-3735	952	5	algebras	algebras	PROPN
ejpam-3735	952	6	.	.	PUNCT
ejpam-3735	953	1	honam	honam	PROPN
ejpam-3735	953	2	mathematical	mathematical	PROPN
ejpam-3735	953	3	journal	journal	PROPN
ejpam-3735	953	4	,	,	PUNCT
ejpam-3735	953	5	37(2):207–219	37(2):207–219	PROPN
ejpam-3735	953	6	,	,	PUNCT
ejpam-3735	953	7	2015	2015	NUM
ejpam-3735	953	8	.	.	PUNCT
ejpam-3735	954	1	[	[	X
ejpam-3735	954	2	10	10	NUM
ejpam-3735	954	3	]	]	X
ejpam-3735	954	4	y.	y.	PROPN
ejpam-3735	954	5	b.	b.	PROPN
ejpam-3735	954	6	jun	jun	PROPN
ejpam-3735	954	7	,	,	PUNCT
ejpam-3735	954	8	,	,	PUNCT
ejpam-3735	954	9	h.	h.	PROPN
ejpam-3735	954	10	s.	s.	PROPN
ejpam-3735	954	11	kim	kim	PROPN
ejpam-3735	954	12	,	,	PUNCT
ejpam-3735	954	13	and	and	CCONJ
ejpam-3735	954	14	j.	j.	PROPN
ejpam-3735	954	15	neggers	neggers	PROPN
ejpam-3735	954	16	.	.	PUNCT
ejpam-3735	955	1	on	on	ADP
ejpam-3735	955	2	pseudo	pseudo	NOUN
ejpam-3735	955	3	-	-	ADJ
ejpam-3735	955	4	bci	bci	ADJ
ejpam-3735	955	5	ideals	ideal	NOUN
ejpam-3735	955	6	of	of	ADP
ejpam-3735	955	7	pseudo	pseudo	NOUN
ejpam-3735	955	8	bci	bci	NOUN
ejpam-3735	955	9	-	-	PUNCT
ejpam-3735	955	10	algebras	algebra	NOUN
ejpam-3735	955	11	.	.	PUNCT
ejpam-3735	955	12	mat	mat	PROPN
ejpam-3735	955	13	.	.	PROPN
ejpam-3735	955	14	vesnik	vesnik	PROPN
ejpam-3735	955	15	,	,	PUNCT
ejpam-3735	955	16	58(1	58(1	PROPN
ejpam-3735	955	17	-	-	SYM
ejpam-3735	955	18	2):39–46	2):39–46	NUM
ejpam-3735	955	19	,	,	PUNCT
ejpam-3735	955	20	2006	2006	NUM
ejpam-3735	955	21	.	.	PUNCT
ejpam-3735	956	1	[	[	X
ejpam-3735	956	2	11	11	NUM
ejpam-3735	956	3	]	]	X
ejpam-3735	956	4	y.	y.	PROPN
ejpam-3735	956	5	b.	b.	PROPN
ejpam-3735	956	6	jun	jun	PROPN
ejpam-3735	956	7	,	,	PUNCT
ejpam-3735	956	8	h.	h.	PROPN
ejpam-3735	956	9	s.	s.	PROPN
ejpam-3735	956	10	kim	kim	PROPN
ejpam-3735	956	11	,	,	PUNCT
ejpam-3735	956	12	and	and	CCONJ
ejpam-3735	956	13	j.	j.	PROPN
ejpam-3735	956	14	neggers	neggers	PROPN
ejpam-3735	956	15	.	.	PUNCT
ejpam-3735	957	1	pseudo	pseudo	NOUN
ejpam-3735	957	2	d	d	NOUN
ejpam-3735	957	3	-	-	PUNCT
ejpam-3735	957	4	algebras	algebra	NOUN
ejpam-3735	957	5	.	.	PUNCT
ejpam-3735	958	1	information	information	NOUN
ejpam-3735	958	2	sciences	sciences	PROPN
ejpam-3735	958	3	,	,	PUNCT
ejpam-3735	958	4	179(11):1751–1759	179(11):1751–1759	NUM
ejpam-3735	958	5	,	,	PUNCT
ejpam-3735	958	6	2009	2009	NUM
ejpam-3735	958	7	.	.	PUNCT
ejpam-3735	959	1	[	[	X
ejpam-3735	959	2	12	12	NUM
ejpam-3735	959	3	]	]	X
ejpam-3735	959	4	y.	y.	PROPN
ejpam-3735	959	5	h.	h.	PROPN
ejpam-3735	959	6	kim	kim	PROPN
ejpam-3735	959	7	and	and	CCONJ
ejpam-3735	959	8	k.	k.	PROPN
ejpam-3735	959	9	s.	s.	PROPN
ejpam-3735	960	1	so	so	ADV
ejpam-3735	960	2	.	.	PUNCT
ejpam-3735	961	1	on	on	ADP
ejpam-3735	961	2	minimality	minimality	NOUN
ejpam-3735	961	3	in	in	ADP
ejpam-3735	961	4	pseudo	pseudo	NOUN
ejpam-3735	961	5	-	-	ADJ
ejpam-3735	961	6	bci	bci	NOUN
ejpam-3735	961	7	-	-	PUNCT
ejpam-3735	961	8	algebras	algebra	NOUN
ejpam-3735	961	9	.	.	PUNCT
ejpam-3735	962	1	communications	communication	NOUN
ejpam-3735	962	2	of	of	ADP
ejpam-3735	962	3	the	the	DET
ejpam-3735	962	4	korean	korean	ADJ
ejpam-3735	962	5	mathematical	mathematical	ADJ
ejpam-3735	962	6	society	society	NOUN
ejpam-3735	962	7	,	,	PUNCT
ejpam-3735	962	8	27(1):7–13	27(1):7–13	NUM
ejpam-3735	962	9	,	,	PUNCT
ejpam-3735	962	10	2012	2012	NUM
ejpam-3735	962	11	.	.	PUNCT
ejpam-3735	963	1	[	[	X
ejpam-3735	963	2	13	13	NUM
ejpam-3735	963	3	]	]	PUNCT
ejpam-3735	963	4	j.	j.	PROPN
ejpam-3735	963	5	neggers	neggers	PROPN
ejpam-3735	963	6	and	and	CCONJ
ejpam-3735	963	7	k.	k.	PROPN
ejpam-3735	963	8	sik	sik	PROPN
ejpam-3735	963	9	.	.	PUNCT
ejpam-3735	964	1	on	on	ADP
ejpam-3735	964	2	b	b	NOUN
ejpam-3735	964	3	-	-	PUNCT
ejpam-3735	964	4	algebras	algebras	PROPN
ejpam-3735	964	5	.	.	PUNCT
ejpam-3735	965	1	matematicki	matematicki	PROPN
ejpam-3735	965	2	vesnik	vesnik	PROPN
ejpam-3735	965	3	,	,	PUNCT
ejpam-3735	965	4	54(1	54(1	PROPN
ejpam-3735	965	5	-	-	SYM
ejpam-3735	965	6	2):21–29	2):21–29	NUM
ejpam-3735	965	7	,	,	PUNCT
ejpam-3735	965	8	2002	2002	NUM
ejpam-3735	965	9	.	.	PUNCT
ejpam-3735	966	1	[	[	X
ejpam-3735	966	2	14	14	NUM
ejpam-3735	966	3	]	]	PUNCT
ejpam-3735	966	4	a.	a.	PROPN
ejpam-3735	966	5	di	di	PROPN
ejpam-3735	966	6	nola	nola	PROPN
ejpam-3735	966	7	,	,	PUNCT
ejpam-3735	966	8	g.	g.	PROPN
ejpam-3735	966	9	georgescu	georgescu	PROPN
ejpam-3735	966	10	,	,	PUNCT
ejpam-3735	966	11	and	and	CCONJ
ejpam-3735	966	12	a.	a.	NOUN
ejpam-3735	966	13	iorgulescu	iorgulescu	NOUN
ejpam-3735	966	14	.	.	PUNCT
ejpam-3735	967	1	pseudo	pseudo	NOUN
ejpam-3735	967	2	-	-	NOUN
ejpam-3735	967	3	bl	bl	NOUN
ejpam-3735	967	4	algebras	algebras	PROPN
ejpam-3735	967	5	:	:	PUNCT
ejpam-3735	967	6	part	part	NOUN
ejpam-3735	967	7	i.	i.	PROPN
ejpam-3735	967	8	multiple	multiple	PROPN
ejpam-3735	967	9	valued	value	VERB
ejpam-3735	967	10	logic	logic	NOUN
ejpam-3735	967	11	,	,	PUNCT
ejpam-3735	967	12	8(5/6):673–716	8(5/6):673–716	NUM
ejpam-3735	967	13	,	,	PUNCT
ejpam-3735	967	14	2002	2002	NUM
ejpam-3735	967	15	.	.	PUNCT
ejpam-3735	968	1	[	[	X
ejpam-3735	968	2	15	15	NUM
ejpam-3735	968	3	]	]	X
ejpam-3735	968	4	j.	j.	PROPN
ejpam-3735	968	5	rachunek	rachunek	PROPN
ejpam-3735	968	6	.	.	PUNCT
ejpam-3735	969	1	a	a	DET
ejpam-3735	969	2	non	non	ADJ
ejpam-3735	969	3	-	-	ADJ
ejpam-3735	969	4	commutative	commutative	ADJ
ejpam-3735	969	5	generalization	generalization	NOUN
ejpam-3735	969	6	of	of	ADP
ejpam-3735	969	7	mv	mv	PROPN
ejpam-3735	969	8	-	-	PUNCT
ejpam-3735	969	9	algebras	algebra	NOUN
ejpam-3735	969	10	.	.	PUNCT
ejpam-3735	970	1	czechoslovak	czechoslovak	PROPN
ejpam-3735	970	2	mathematical	mathematical	PROPN
ejpam-3735	970	3	journal	journal	PROPN
ejpam-3735	970	4	,	,	PUNCT
ejpam-3735	970	5	52(2):255–273	52(2):255–273	PROPN
ejpam-3735	970	6	,	,	PUNCT
ejpam-3735	970	7	2002	2002	NUM
ejpam-3735	970	8	.	.	PUNCT
ejpam-3735	971	1	[	[	X
ejpam-3735	971	2	16	16	NUM
ejpam-3735	971	3	]	]	X
ejpam-3735	971	4	e.	e.	PROPN
ejpam-3735	971	5	turunen	turunen	PROPN
ejpam-3735	971	6	and	and	CCONJ
ejpam-3735	971	7	s.	s.	PROPN
ejpam-3735	971	8	sessa	sessa	PROPN
ejpam-3735	971	9	.	.	PUNCT
ejpam-3735	972	1	local	local	ADJ
ejpam-3735	972	2	bl	bl	PROPN
ejpam-3735	972	3	-	-	PUNCT
ejpam-3735	972	4	algebras	algebras	PROPN
ejpam-3735	972	5	.	.	PUNCT
ejpam-3735	973	1	multiple	multiple	ADJ
ejpam-3735	973	2	valued	value	VERB
ejpam-3735	973	3	logic	logic	NOUN
ejpam-3735	973	4	,	,	PUNCT
ejpam-3735	973	5	6(1	6(1	NUM
ejpam-3735	973	6	-	-	SYM
ejpam-3735	973	7	2):229–249	2):229–249	NUM
ejpam-3735	973	8	,	,	PUNCT
ejpam-3735	973	9	2001	2001	NUM
ejpam-3735	973	10	.	.	PUNCT
ejpam-3735	974	1	[	[	X
ejpam-3735	974	2	17	17	NUM
ejpam-3735	974	3	]	]	PUNCT
ejpam-3735	974	4	a.	a.	NOUN
ejpam-3735	974	5	walendziak	walendziak	PROPN
ejpam-3735	974	6	.	.	PUNCT
ejpam-3735	975	1	on	on	ADP
ejpam-3735	975	2	bf	bf	NOUN
ejpam-3735	975	3	-	-	PUNCT
ejpam-3735	975	4	algebras	algebras	PROPN
ejpam-3735	975	5	.	.	PUNCT
ejpam-3735	976	1	mathematica	mathematica	PROPN
ejpam-3735	976	2	slovaca	slovaca	PROPN
ejpam-3735	976	3	,	,	PUNCT
ejpam-3735	976	4	57(2):119–128	57(2):119–128	PROPN
ejpam-3735	976	5	,	,	PUNCT
ejpam-3735	976	6	2007	2007	NUM
ejpam-3735	976	7	.	.	PUNCT
ejpam-3735	977	1	[	[	X
ejpam-3735	977	2	18	18	NUM
ejpam-3735	977	3	]	]	PUNCT
ejpam-3735	977	4	a.	a.	NOUN
ejpam-3735	977	5	walendziak	walendziak	PROPN
ejpam-3735	977	6	.	.	PUNCT
ejpam-3735	978	1	pseudo	pseudo	NOUN
ejpam-3735	978	2	-	-	PUNCT
ejpam-3735	978	3	bch	bch	NOUN
ejpam-3735	978	4	-	-	PUNCT
ejpam-3735	978	5	algebras	algebras	PROPN
ejpam-3735	978	6	.	.	PUNCT
ejpam-3735	979	1	discussiones	discussione	NOUN
ejpam-3735	979	2	mathematicae	mathematicae	VERB
ejpam-3735	979	3	general	general	ADJ
ejpam-3735	979	4	algebra	algebra	PROPN
ejpam-3735	979	5	and	and	CCONJ
ejpam-3735	979	6	applications	application	NOUN
ejpam-3735	979	7	,	,	PUNCT
ejpam-3735	979	8	35(1):5–19	35(1):5–19	NUM
ejpam-3735	979	9	,	,	PUNCT
ejpam-3735	979	10	2015	2015	NUM
ejpam-3735	979	11	.	.	PUNCT