id	sid	tid	token	lemma	pos
ejpam-6190	1	1	european	european	PROPN
ejpam-6190	1	2	journal	journal	PROPN
ejpam-6190	1	3	of	of	ADP
ejpam-6190	1	4	pure	pure	ADJ
ejpam-6190	1	5	and	and	CCONJ
ejpam-6190	1	6	applied	applied	ADJ
ejpam-6190	1	7	mathematics	mathematic	NOUN
ejpam-6190	1	8	2025	2025	NUM
ejpam-6190	1	9	,	,	PUNCT
ejpam-6190	1	10	vol	vol	NOUN
ejpam-6190	1	11	.	.	PROPN
ejpam-6190	1	12	18	18	NUM
ejpam-6190	1	13	,	,	PUNCT
ejpam-6190	1	14	issue	issue	NOUN
ejpam-6190	1	15	4	4	NUM
ejpam-6190	1	16	,	,	PUNCT
ejpam-6190	1	17	article	article	NOUN
ejpam-6190	1	18	number	number	NOUN
ejpam-6190	1	19	6190	6190	NUM
ejpam-6190	1	20	issn	issn	PROPN
ejpam-6190	1	21	1307	1307	NUM
ejpam-6190	1	22	-	-	SYM
ejpam-6190	1	23	5543	5543	NUM
ejpam-6190	1	24	–	–	PUNCT
ejpam-6190	1	25	ejpam.com	ejpam.com	X
ejpam-6190	1	26	published	publish	VERB
ejpam-6190	1	27	by	by	ADP
ejpam-6190	1	28	new	new	PROPN
ejpam-6190	1	29	york	york	PROPN
ejpam-6190	1	30	business	business	PROPN
ejpam-6190	1	31	global	global	ADJ
ejpam-6190	1	32	pseudo	pseudo	NOUN
ejpam-6190	1	33	-	-	ADJ
ejpam-6190	1	34	dual	dual	ADJ
ejpam-6190	1	35	b	b	NOUN
ejpam-6190	1	36	-	-	PUNCT
ejpam-6190	1	37	algebra	algebra	PROPN
ejpam-6190	1	38	jessa	jessa	PROPN
ejpam-6190	1	39	mae	mae	PROPN
ejpam-6190	1	40	sale	sale	PROPN
ejpam-6190	1	41	leuveras1,∗	leuveras1,∗	PROPN
ejpam-6190	1	42	,	,	PUNCT
ejpam-6190	1	43	katrina	katrina	PROPN
ejpam-6190	1	44	belleza	belleza	PROPN
ejpam-6190	1	45	fuentes1	fuentes1	PROPN
ejpam-6190	1	46	1	1	NUM
ejpam-6190	1	47	department	department	NOUN
ejpam-6190	1	48	of	of	ADP
ejpam-6190	1	49	computer	computer	NOUN
ejpam-6190	1	50	,	,	PUNCT
ejpam-6190	1	51	information	information	NOUN
ejpam-6190	1	52	sciences	science	NOUN
ejpam-6190	1	53	and	and	CCONJ
ejpam-6190	1	54	mathematics	mathematic	NOUN
ejpam-6190	1	55	,	,	PUNCT
ejpam-6190	1	56	school	school	NOUN
ejpam-6190	1	57	of	of	ADP
ejpam-6190	1	58	arts	art	NOUN
ejpam-6190	1	59	and	and	CCONJ
ejpam-6190	1	60	sciences	science	NOUN
ejpam-6190	1	61	,	,	PUNCT
ejpam-6190	1	62	university	university	NOUN
ejpam-6190	1	63	of	of	ADP
ejpam-6190	1	64	san	san	PROPN
ejpam-6190	1	65	carlos	carlos	PROPN
ejpam-6190	1	66	,	,	PUNCT
ejpam-6190	1	67	6000	6000	NUM
ejpam-6190	1	68	cebu	cebu	NOUN
ejpam-6190	1	69	city	city	NOUN
ejpam-6190	1	70	,	,	PUNCT
ejpam-6190	1	71	philippines	philippine	NOUN
ejpam-6190	1	72	abstract	abstract	ADJ
ejpam-6190	1	73	.	.	PUNCT
ejpam-6190	2	1	this	this	DET
ejpam-6190	2	2	paper	paper	NOUN
ejpam-6190	2	3	introduces	introduce	VERB
ejpam-6190	2	4	the	the	DET
ejpam-6190	2	5	structure	structure	NOUN
ejpam-6190	2	6	of	of	ADP
ejpam-6190	2	7	a	a	DET
ejpam-6190	2	8	pseudo	pseudo	NOUN
ejpam-6190	2	9	-	-	ADJ
ejpam-6190	2	10	dual	dual	ADJ
ejpam-6190	2	11	b	b	NOUN
ejpam-6190	2	12	-	-	PUNCT
ejpam-6190	2	13	algebra	algebra	NOUN
ejpam-6190	2	14	and	and	CCONJ
ejpam-6190	2	15	some	some	PRON
ejpam-6190	2	16	of	of	ADP
ejpam-6190	2	17	its	its	PRON
ejpam-6190	2	18	subsets	subset	NOUN
ejpam-6190	2	19	,	,	PUNCT
ejpam-6190	2	20	specifically	specifically	ADV
ejpam-6190	2	21	pseudo	pseudo	NOUN
ejpam-6190	2	22	-	-	ADJ
ejpam-6190	2	23	dual	dual	ADJ
ejpam-6190	2	24	b	b	NOUN
ejpam-6190	2	25	-	-	PUNCT
ejpam-6190	2	26	subalgebra	subalgebra	ADJ
ejpam-6190	2	27	and	and	CCONJ
ejpam-6190	2	28	pseudo	pseudo	NOUN
ejpam-6190	2	29	-	-	ADJ
ejpam-6190	2	30	dual	dual	ADJ
ejpam-6190	2	31	b	b	NOUN
ejpam-6190	2	32	-	-	NOUN
ejpam-6190	2	33	filter	filter	NOUN
ejpam-6190	2	34	.	.	PUNCT
ejpam-6190	3	1	furthermore	furthermore	ADV
ejpam-6190	3	2	,	,	PUNCT
ejpam-6190	3	3	it	it	PRON
ejpam-6190	3	4	presents	present	VERB
ejpam-6190	3	5	some	some	PRON
ejpam-6190	3	6	of	of	ADP
ejpam-6190	3	7	their	their	PRON
ejpam-6190	3	8	properties	property	NOUN
ejpam-6190	3	9	and	and	CCONJ
ejpam-6190	3	10	gives	give	VERB
ejpam-6190	3	11	a	a	DET
ejpam-6190	3	12	characterization	characterization	NOUN
ejpam-6190	3	13	of	of	ADP
ejpam-6190	3	14	a	a	DET
ejpam-6190	3	15	pseudo	pseudo	NOUN
ejpam-6190	3	16	-	-	ADJ
ejpam-6190	3	17	dual	dual	ADJ
ejpam-6190	3	18	b	b	NOUN
ejpam-6190	3	19	-	-	PUNCT
ejpam-6190	3	20	subalgebra	subalgebra	NOUN
ejpam-6190	3	21	.	.	PUNCT
ejpam-6190	4	1	this	this	DET
ejpam-6190	4	2	study	study	NOUN
ejpam-6190	4	3	also	also	ADV
ejpam-6190	4	4	provides	provide	VERB
ejpam-6190	4	5	the	the	DET
ejpam-6190	4	6	relationship	relationship	NOUN
ejpam-6190	4	7	between	between	ADP
ejpam-6190	4	8	a	a	DET
ejpam-6190	4	9	pseudo	pseudo	NOUN
ejpam-6190	4	10	-	-	ADJ
ejpam-6190	4	11	dual	dual	ADJ
ejpam-6190	4	12	b	b	NOUN
ejpam-6190	4	13	-	-	PUNCT
ejpam-6190	4	14	subalgebra	subalgebra	NOUN
ejpam-6190	4	15	and	and	CCONJ
ejpam-6190	4	16	a	a	DET
ejpam-6190	4	17	pseudo	pseudo	NOUN
ejpam-6190	4	18	-	-	ADJ
ejpam-6190	4	19	dual	dual	ADJ
ejpam-6190	4	20	b	b	NOUN
ejpam-6190	4	21	-	-	NOUN
ejpam-6190	4	22	filter	filter	NOUN
ejpam-6190	4	23	.	.	PUNCT
ejpam-6190	5	1	moreover	moreover	ADV
ejpam-6190	5	2	,	,	PUNCT
ejpam-6190	5	3	this	this	DET
ejpam-6190	5	4	paper	paper	NOUN
ejpam-6190	5	5	presents	present	VERB
ejpam-6190	5	6	a	a	DET
ejpam-6190	5	7	python	python	NOUN
ejpam-6190	5	8	program	program	NOUN
ejpam-6190	5	9	that	that	PRON
ejpam-6190	5	10	was	be	AUX
ejpam-6190	5	11	used	use	VERB
ejpam-6190	5	12	to	to	PART
ejpam-6190	5	13	perform	perform	VERB
ejpam-6190	5	14	the	the	DET
ejpam-6190	5	15	calculations	calculation	NOUN
ejpam-6190	5	16	needed	need	VERB
ejpam-6190	5	17	to	to	PART
ejpam-6190	5	18	verify	verify	VERB
ejpam-6190	5	19	the	the	DET
ejpam-6190	5	20	example	example	NOUN
ejpam-6190	5	21	of	of	ADP
ejpam-6190	5	22	a	a	DET
ejpam-6190	5	23	pseudo	pseudo	NOUN
ejpam-6190	5	24	-	-	ADJ
ejpam-6190	5	25	dual	dual	ADJ
ejpam-6190	5	26	b	b	NOUN
ejpam-6190	5	27	-	-	PUNCT
ejpam-6190	5	28	algebra	algebra	NOUN
ejpam-6190	5	29	and	and	CCONJ
ejpam-6190	5	30	to	to	PART
ejpam-6190	5	31	verify	verify	VERB
ejpam-6190	5	32	the	the	DET
ejpam-6190	5	33	independence	independence	NOUN
ejpam-6190	5	34	of	of	ADP
ejpam-6190	5	35	the	the	DET
ejpam-6190	5	36	axioms	axiom	NOUN
ejpam-6190	5	37	in	in	ADP
ejpam-6190	5	38	a	a	DET
ejpam-6190	5	39	pseudo	pseudo	NOUN
ejpam-6190	5	40	-	-	ADJ
ejpam-6190	5	41	dual	dual	ADJ
ejpam-6190	5	42	b	b	NOUN
ejpam-6190	5	43	-	-	PUNCT
ejpam-6190	5	44	algebra	algebra	NOUN
ejpam-6190	5	45	.	.	PUNCT
ejpam-6190	6	1	2020	2020	NUM
ejpam-6190	6	2	mathematics	mathematic	NOUN
ejpam-6190	6	3	subject	subject	NOUN
ejpam-6190	6	4	classifications	classification	NOUN
ejpam-6190	6	5	:	:	PUNCT
ejpam-6190	6	6	03g25	03g25	NUM
ejpam-6190	6	7	,	,	PUNCT
ejpam-6190	6	8	08a05	08a05	NUM
ejpam-6190	6	9	,	,	PUNCT
ejpam-6190	6	10	08a30	08a30	VERB
ejpam-6190	6	11	key	key	ADJ
ejpam-6190	6	12	words	word	NOUN
ejpam-6190	6	13	and	and	CCONJ
ejpam-6190	6	14	phrases	phrase	NOUN
ejpam-6190	6	15	:	:	PUNCT
ejpam-6190	6	16	dual	dual	ADJ
ejpam-6190	6	17	b	b	X
ejpam-6190	6	18	-	-	PUNCT
ejpam-6190	6	19	algebra	algebra	NOUN
ejpam-6190	6	20	,	,	PUNCT
ejpam-6190	6	21	pseudo	pseudo	NOUN
ejpam-6190	6	22	-	-	ADJ
ejpam-6190	6	23	dual	dual	ADJ
ejpam-6190	6	24	b	b	NOUN
ejpam-6190	6	25	-	-	PUNCT
ejpam-6190	6	26	algebra	algebra	NOUN
ejpam-6190	6	27	,	,	PUNCT
ejpam-6190	6	28	pseudo	pseudo	NOUN
ejpam-6190	6	29	-	-	ADJ
ejpam-6190	6	30	dual	dual	ADJ
ejpam-6190	6	31	b	b	NOUN
ejpam-6190	6	32	-	-	PUNCT
ejpam-6190	6	33	subalgebra	subalgebra	ADJ
ejpam-6190	6	34	,	,	PUNCT
ejpam-6190	6	35	pseudo	pseudo	NOUN
ejpam-6190	6	36	-	-	ADJ
ejpam-6190	6	37	dual	dual	ADJ
ejpam-6190	6	38	b	b	NOUN
ejpam-6190	6	39	-	-	NOUN
ejpam-6190	6	40	filter	filter	ADJ
ejpam-6190	6	41	1	1	NUM
ejpam-6190	6	42	.	.	PUNCT
ejpam-6190	6	43	introduction	introduction	NOUN
ejpam-6190	6	44	in	in	ADP
ejpam-6190	6	45	1966	1966	NUM
ejpam-6190	6	46	,	,	PUNCT
ejpam-6190	6	47	y.	y.	PROPN
ejpam-6190	6	48	imai	imai	PROPN
ejpam-6190	6	49	and	and	CCONJ
ejpam-6190	6	50	k.	k.	PROPN
ejpam-6190	6	51	iseki	iseki	PROPN
ejpam-6190	7	1	[	[	X
ejpam-6190	7	2	1	1	X
ejpam-6190	7	3	]	]	PUNCT
ejpam-6190	7	4	introduced	introduce	VERB
ejpam-6190	7	5	two	two	NUM
ejpam-6190	7	6	classes	class	NOUN
ejpam-6190	7	7	of	of	ADP
ejpam-6190	7	8	algebra	algebra	NOUN
ejpam-6190	7	9	:	:	PUNCT
ejpam-6190	7	10	bck	bck	NOUN
ejpam-6190	7	11	-	-	PUNCT
ejpam-6190	7	12	algebra	algebra	PROPN
ejpam-6190	7	13	and	and	CCONJ
ejpam-6190	7	14	bci	bci	PROPN
ejpam-6190	7	15	-algebra	-algebra	PROPN
ejpam-6190	7	16	.	.	PUNCT
ejpam-6190	8	1	in	in	ADP
ejpam-6190	8	2	2001	2001	NUM
ejpam-6190	8	3	,	,	PUNCT
ejpam-6190	8	4	g.	g.	PROPN
ejpam-6190	8	5	georgescu	georgescu	PROPN
ejpam-6190	8	6	and	and	CCONJ
ejpam-6190	8	7	a.	a.	NOUN
ejpam-6190	8	8	iorgulescu	iorgulescu	NOUN
ejpam-6190	9	1	[	[	X
ejpam-6190	9	2	2	2	X
ejpam-6190	9	3	]	]	PUNCT
ejpam-6190	9	4	extended	extend	VERB
ejpam-6190	9	5	the	the	DET
ejpam-6190	9	6	concept	concept	NOUN
ejpam-6190	9	7	of	of	ADP
ejpam-6190	9	8	bck	bck	NOUN
ejpam-6190	9	9	-	-	PUNCT
ejpam-6190	9	10	algebra	algebra	NOUN
ejpam-6190	9	11	to	to	ADP
ejpam-6190	9	12	pseudo	pseudo	NOUN
ejpam-6190	9	13	-	-	ADJ
ejpam-6190	9	14	bck	bck	NOUN
ejpam-6190	9	15	-	-	PUNCT
ejpam-6190	9	16	algebra	algebra	NOUN
ejpam-6190	9	17	.	.	PUNCT
ejpam-6190	10	1	in	in	ADP
ejpam-6190	10	2	2008	2008	NUM
ejpam-6190	10	3	,	,	PUNCT
ejpam-6190	10	4	w.	w.	PROPN
ejpam-6190	10	5	dudek	dudek	PROPN
ejpam-6190	10	6	and	and	CCONJ
ejpam-6190	10	7	y.	y.	PROPN
ejpam-6190	10	8	jun	jun	PROPN
ejpam-6190	11	1	[	[	X
ejpam-6190	11	2	3	3	X
ejpam-6190	11	3	]	]	PUNCT
ejpam-6190	11	4	introduced	introduce	VERB
ejpam-6190	11	5	the	the	DET
ejpam-6190	11	6	notion	notion	NOUN
ejpam-6190	11	7	of	of	ADP
ejpam-6190	11	8	pseudo	pseudo	NOUN
ejpam-6190	11	9	-	-	ADJ
ejpam-6190	11	10	bci	bci	ADJ
ejpam-6190	11	11	algebra	algebra	NOUN
ejpam-6190	11	12	as	as	ADP
ejpam-6190	11	13	an	an	DET
ejpam-6190	11	14	extension	extension	NOUN
ejpam-6190	11	15	of	of	ADP
ejpam-6190	11	16	bci	bci	NOUN
ejpam-6190	11	17	-algebra	-algebra	NOUN
ejpam-6190	11	18	and	and	CCONJ
ejpam-6190	11	19	investigated	investigate	VERB
ejpam-6190	11	20	some	some	PRON
ejpam-6190	11	21	of	of	ADP
ejpam-6190	11	22	its	its	PRON
ejpam-6190	11	23	properties	property	NOUN
ejpam-6190	11	24	.	.	PUNCT
ejpam-6190	12	1	in	in	ADP
ejpam-6190	12	2	2002	2002	NUM
ejpam-6190	12	3	,	,	PUNCT
ejpam-6190	12	4	j.neggers	j.negger	NOUN
ejpam-6190	12	5	and	and	CCONJ
ejpam-6190	12	6	h.s	h.s	PROPN
ejpam-6190	12	7	.	.	PROPN
ejpam-6190	12	8	kim	kim	PROPN
ejpam-6190	13	1	[	[	X
ejpam-6190	13	2	4	4	X
ejpam-6190	13	3	]	]	PUNCT
ejpam-6190	13	4	introduced	introduce	VERB
ejpam-6190	13	5	and	and	CCONJ
ejpam-6190	13	6	investigated	investigate	VERB
ejpam-6190	13	7	a	a	DET
ejpam-6190	13	8	new	new	ADJ
ejpam-6190	13	9	class	class	NOUN
ejpam-6190	13	10	of	of	ADP
ejpam-6190	13	11	algebra	algebra	NOUN
ejpam-6190	13	12	which	which	PRON
ejpam-6190	13	13	is	be	AUX
ejpam-6190	13	14	related	relate	VERB
ejpam-6190	13	15	to	to	ADP
ejpam-6190	13	16	several	several	ADJ
ejpam-6190	13	17	classes	class	NOUN
ejpam-6190	13	18	of	of	ADP
ejpam-6190	13	19	algebra	algebra	NOUN
ejpam-6190	13	20	such	such	ADJ
ejpam-6190	13	21	as	as	ADP
ejpam-6190	13	22	bch	bch	PROPN
ejpam-6190	13	23	/	/	SYM
ejpam-6190	13	24	bci	bci	PROPN
ejpam-6190	13	25	/	/	SYM
ejpam-6190	13	26	bckalgebra	bckalgebra	NOUN
ejpam-6190	13	27	called	call	VERB
ejpam-6190	13	28	b	b	NOUN
ejpam-6190	13	29	-	-	PUNCT
ejpam-6190	13	30	algebra	algebra	NOUN
ejpam-6190	13	31	.	.	PUNCT
ejpam-6190	14	1	in	in	ADP
ejpam-6190	14	2	2007	2007	NUM
ejpam-6190	14	3	,	,	PUNCT
ejpam-6190	14	4	a.	a.	PROPN
ejpam-6190	14	5	walendziak	walendziak	PROPN
ejpam-6190	15	1	[	[	X
ejpam-6190	15	2	5	5	NUM
ejpam-6190	15	3	]	]	PUNCT
ejpam-6190	15	4	introduced	introduce	VERB
ejpam-6190	15	5	a	a	DET
ejpam-6190	15	6	generalization	generalization	NOUN
ejpam-6190	15	7	of	of	ADP
ejpam-6190	15	8	balgebra	balgebra	NOUN
ejpam-6190	15	9	called	call	VERB
ejpam-6190	15	10	bf	bf	NOUN
ejpam-6190	15	11	-	-	PUNCT
ejpam-6190	15	12	algebra	algebra	NOUN
ejpam-6190	15	13	and	and	CCONJ
ejpam-6190	15	14	investigated	investigate	VERB
ejpam-6190	15	15	some	some	DET
ejpam-6190	15	16	properties	property	NOUN
ejpam-6190	15	17	of	of	ADP
ejpam-6190	15	18	ideals	ideal	NOUN
ejpam-6190	15	19	and	and	CCONJ
ejpam-6190	15	20	normal	normal	ADJ
ejpam-6190	15	21	-	-	PUNCT
ejpam-6190	15	22	ideals	ideal	NOUN
ejpam-6190	15	23	in	in	ADP
ejpam-6190	15	24	bf	bf	NOUN
ejpam-6190	15	25	-	-	PUNCT
ejpam-6190	15	26	algebra	algebra	NOUN
ejpam-6190	15	27	and	and	CCONJ
ejpam-6190	15	28	gave	give	VERB
ejpam-6190	15	29	some	some	DET
ejpam-6190	15	30	characterization	characterization	NOUN
ejpam-6190	15	31	of	of	ADP
ejpam-6190	15	32	them	they	PRON
ejpam-6190	15	33	.	.	PUNCT
ejpam-6190	16	1	simultaneously	simultaneously	ADV
ejpam-6190	16	2	,	,	PUNCT
ejpam-6190	16	3	h.s	h.s	PROPN
ejpam-6190	16	4	.	.	PROPN
ejpam-6190	16	5	kim	kim	PROPN
ejpam-6190	16	6	and	and	CCONJ
ejpam-6190	16	7	y.h	y.h	PROPN
ejpam-6190	16	8	.	.	PROPN
ejpam-6190	16	9	kim	kim	PROPN
ejpam-6190	17	1	[	[	X
ejpam-6190	17	2	6	6	NUM
ejpam-6190	17	3	]	]	PUNCT
ejpam-6190	17	4	introduced	introduce	VERB
ejpam-6190	17	5	be	be	NOUN
ejpam-6190	17	6	-	-	PUNCT
ejpam-6190	17	7	algebra	algebra	NOUN
ejpam-6190	17	8	as	as	ADP
ejpam-6190	17	9	a	a	DET
ejpam-6190	17	10	generalization	generalization	NOUN
ejpam-6190	17	11	of	of	ADP
ejpam-6190	17	12	bck	bck	NOUN
ejpam-6190	17	13	-	-	PUNCT
ejpam-6190	17	14	algebra	algebra	NOUN
ejpam-6190	17	15	and	and	CCONJ
ejpam-6190	17	16	studied	study	VERB
ejpam-6190	17	17	the	the	DET
ejpam-6190	17	18	filters	filter	NOUN
ejpam-6190	17	19	of	of	ADP
ejpam-6190	17	20	be	be	NOUN
ejpam-6190	17	21	-	-	PUNCT
ejpam-6190	17	22	algebra	algebra	NOUN
ejpam-6190	17	23	.	.	PUNCT
ejpam-6190	18	1	in	in	ADP
ejpam-6190	18	2	2020	2020	NUM
ejpam-6190	18	3	,	,	PUNCT
ejpam-6190	18	4	h.	h.	PROPN
ejpam-6190	18	5	al	al	PROPN
ejpam-6190	18	6	-	-	PUNCT
ejpam-6190	18	7	malki	malki	PROPN
ejpam-6190	18	8	and	and	CCONJ
ejpam-6190	18	9	d.	d.	PROPN
ejpam-6190	18	10	al	al	PROPN
ejpam-6190	18	11	-	-	PUNCT
ejpam-6190	18	12	kadi	kadi	NOUN
ejpam-6190	19	1	[	[	X
ejpam-6190	19	2	7	7	NUM
ejpam-6190	19	3	]	]	PUNCT
ejpam-6190	19	4	introduced	introduce	VERB
ejpam-6190	19	5	the	the	DET
ejpam-6190	19	6	structure	structure	NOUN
ejpam-6190	19	7	of	of	ADP
ejpam-6190	19	8	pseudo	pseudo	NOUN
ejpam-6190	19	9	-	-	PUNCT
ejpam-6190	19	10	bf	bf	NOUN
ejpam-6190	19	11	/	/	SYM
ejpam-6190	19	12	bf	bf	NOUN
ejpam-6190	19	13	∗-algebra	∗-algebra	NOUN
ejpam-6190	19	14	which	which	PRON
ejpam-6190	19	15	is	be	AUX
ejpam-6190	19	16	a	a	DET
ejpam-6190	19	17	generalization	generalization	NOUN
ejpam-6190	19	18	of	of	ADP
ejpam-6190	19	19	bf	bf	NOUN
ejpam-6190	19	20	-	-	PUNCT
ejpam-6190	19	21	algebra	algebra	NOUN
ejpam-6190	19	22	together	together	ADV
ejpam-6190	19	23	with	with	ADP
ejpam-6190	19	24	pseudosubalgebra	pseudosubalgebra	NOUN
ejpam-6190	19	25	,	,	PUNCT
ejpam-6190	19	26	pseudo	pseudo	NOUN
ejpam-6190	19	27	-	-	NOUN
ejpam-6190	19	28	ideal	ideal	ADJ
ejpam-6190	19	29	,	,	PUNCT
ejpam-6190	19	30	pseudo	pseudo	NOUN
ejpam-6190	19	31	-	-	ADJ
ejpam-6190	19	32	normal	normal	ADJ
ejpam-6190	19	33	-	-	PUNCT
ejpam-6190	19	34	ideal	ideal	NOUN
ejpam-6190	19	35	,	,	PUNCT
ejpam-6190	19	36	and	and	CCONJ
ejpam-6190	19	37	pseudo	pseudo	NOUN
ejpam-6190	19	38	-	-	NOUN
ejpam-6190	19	39	atoms	atom	NOUN
ejpam-6190	19	40	as	as	ADP
ejpam-6190	19	41	its	its	PRON
ejpam-6190	19	42	subsets	subset	NOUN
ejpam-6190	19	43	.	.	PUNCT
ejpam-6190	20	1	on	on	ADP
ejpam-6190	20	2	the	the	DET
ejpam-6190	20	3	∗corresponding	∗corresponde	VERB
ejpam-6190	20	4	author	author	NOUN
ejpam-6190	20	5	.	.	PUNCT
ejpam-6190	21	1	doi	doi	NOUN
ejpam-6190	21	2	:	:	PUNCT
ejpam-6190	21	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6190	https://doi.org/10.29020/nybg.ejpam.v18i4.6190	ADP
ejpam-6190	21	4	email	email	NOUN
ejpam-6190	21	5	addresses	address	VERB
ejpam-6190	21	6	:	:	PUNCT
ejpam-6190	21	7	23104906@usc.edu.ph	23104906@usc.edu.ph	NUM
ejpam-6190	21	8	(	(	PUNCT
ejpam-6190	21	9	j.	j.	PROPN
ejpam-6190	21	10	m.	m.	PROPN
ejpam-6190	21	11	s.	s.	PROPN
ejpam-6190	21	12	leuveras	leuveras	PROPN
ejpam-6190	21	13	)	)	PUNCT
ejpam-6190	21	14	,	,	PUNCT
ejpam-6190	21	15	kebelleza@usc.edu.ph	kebelleza@usc.edu.ph	PROPN
ejpam-6190	21	16	(	(	PUNCT
ejpam-6190	21	17	k.	k.	PROPN
ejpam-6190	21	18	b.	b.	PROPN
ejpam-6190	21	19	fuentes	fuentes	PROPN
ejpam-6190	21	20	)	)	PUNCT
ejpam-6190	21	21	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6190	22	1	1	1	NUM
ejpam-6190	22	2	copyright	copyright	NOUN
ejpam-6190	22	3	:	:	PUNCT
ejpam-6190	22	4	©	©	PROPN
ejpam-6190	22	5	2025	2025	NUM
ejpam-6190	22	6	the	the	DET
ejpam-6190	22	7	author(s	author(s	NOUN
ejpam-6190	22	8	)	)	PUNCT
ejpam-6190	22	9	.	.	PUNCT
ejpam-6190	23	1	(	(	PUNCT
ejpam-6190	23	2	cc	cc	NOUN
ejpam-6190	23	3	by	by	ADP
ejpam-6190	23	4	-	-	PUNCT
ejpam-6190	23	5	nc	nc	PROPN
ejpam-6190	23	6	4.0	4.0	NUM
ejpam-6190	23	7	)	)	PUNCT
ejpam-6190	23	8	j.	j.	PROPN
ejpam-6190	23	9	m.	m.	PROPN
ejpam-6190	23	10	s.	s.	PROPN
ejpam-6190	23	11	leuveras	leuveras	PROPN
ejpam-6190	23	12	,	,	PUNCT
ejpam-6190	23	13	k.	k.	PROPN
ejpam-6190	23	14	b.	b.	PROPN
ejpam-6190	23	15	fuentes	fuentes	PROPN
ejpam-6190	23	16	/	/	SYM
ejpam-6190	23	17	eur	eur	PROPN
ejpam-6190	23	18	.	.	PUNCT
ejpam-6190	24	1	j.	j.	PROPN
ejpam-6190	24	2	pure	pure	PROPN
ejpam-6190	24	3	appl	appl	PROPN
ejpam-6190	24	4	.	.	PROPN
ejpam-6190	24	5	math	math	PROPN
ejpam-6190	24	6	,	,	PUNCT
ejpam-6190	24	7	18	18	NUM
ejpam-6190	24	8	(	(	PUNCT
ejpam-6190	24	9	4	4	NUM
ejpam-6190	24	10	)	)	PUNCT
ejpam-6190	24	11	(	(	PUNCT
ejpam-6190	24	12	2025	2025	NUM
ejpam-6190	24	13	)	)	PUNCT
ejpam-6190	24	14	,	,	PUNCT
ejpam-6190	24	15	6190	6190	NUM
ejpam-6190	24	16	2	2	NUM
ejpam-6190	24	17	of	of	ADP
ejpam-6190	24	18	12	12	NUM
ejpam-6190	24	19	other	other	ADJ
ejpam-6190	24	20	hand	hand	NOUN
ejpam-6190	24	21	,	,	PUNCT
ejpam-6190	24	22	in	in	ADP
ejpam-6190	24	23	2013	2013	NUM
ejpam-6190	24	24	,	,	PUNCT
ejpam-6190	24	25	r.	r.	PROPN
ejpam-6190	24	26	borzooei	borzooei	PROPN
ejpam-6190	24	27	and	and	CCONJ
ejpam-6190	24	28	et	et	PROPN
ejpam-6190	24	29	al	al	PROPN
ejpam-6190	24	30	.	.	PROPN
ejpam-6190	24	31	,	,	PUNCT
ejpam-6190	25	1	[	[	X
ejpam-6190	25	2	8	8	NUM
ejpam-6190	25	3	]	]	PUNCT
ejpam-6190	25	4	introduced	introduce	VERB
ejpam-6190	25	5	the	the	DET
ejpam-6190	25	6	notion	notion	NOUN
ejpam-6190	25	7	of	of	ADP
ejpam-6190	25	8	pseudo	pseudo	NOUN
ejpam-6190	25	9	bealgebra	bealgebra	NOUN
ejpam-6190	25	10	which	which	PRON
ejpam-6190	25	11	is	be	AUX
ejpam-6190	25	12	a	a	DET
ejpam-6190	25	13	generalization	generalization	NOUN
ejpam-6190	25	14	of	of	ADP
ejpam-6190	25	15	be	be	NOUN
ejpam-6190	25	16	-	-	PUNCT
ejpam-6190	25	17	algebra	algebra	NOUN
ejpam-6190	25	18	.	.	PUNCT
ejpam-6190	26	1	they	they	PRON
ejpam-6190	26	2	also	also	ADV
ejpam-6190	26	3	studied	study	VERB
ejpam-6190	26	4	the	the	DET
ejpam-6190	26	5	concepts	concept	NOUN
ejpam-6190	26	6	of	of	ADP
ejpam-6190	26	7	pseudosubalgebra	pseudosubalgebra	NOUN
ejpam-6190	26	8	,	,	PUNCT
ejpam-6190	26	9	pseudo	pseudo	NOUN
ejpam-6190	26	10	-	-	NOUN
ejpam-6190	26	11	filter	filter	NOUN
ejpam-6190	26	12	,	,	PUNCT
ejpam-6190	26	13	and	and	CCONJ
ejpam-6190	26	14	pseudo	pseudo	NOUN
ejpam-6190	26	15	-	-	ADJ
ejpam-6190	26	16	upper	upper	ADV
ejpam-6190	26	17	-	-	PUNCT
ejpam-6190	26	18	set	set	VERB
ejpam-6190	26	19	and	and	CCONJ
ejpam-6190	26	20	proved	prove	VERB
ejpam-6190	26	21	that	that	SCONJ
ejpam-6190	26	22	,	,	PUNCT
ejpam-6190	26	23	under	under	ADP
ejpam-6190	26	24	some	some	DET
ejpam-6190	26	25	conditions	condition	NOUN
ejpam-6190	26	26	,	,	PUNCT
ejpam-6190	26	27	pseudo	pseudo	NOUN
ejpam-6190	26	28	-	-	NOUN
ejpam-6190	26	29	subalgebra	subalgebra	NOUN
ejpam-6190	26	30	can	can	AUX
ejpam-6190	26	31	be	be	AUX
ejpam-6190	26	32	a	a	DET
ejpam-6190	26	33	pseudo	pseudo	NOUN
ejpam-6190	26	34	-	-	NOUN
ejpam-6190	26	35	filter	filter	NOUN
ejpam-6190	26	36	.	.	PUNCT
ejpam-6190	27	1	furthermore	furthermore	ADV
ejpam-6190	27	2	,	,	PUNCT
ejpam-6190	27	3	in	in	ADP
ejpam-6190	27	4	2019	2019	NUM
ejpam-6190	27	5	,	,	PUNCT
ejpam-6190	27	6	k.	k.	PROPN
ejpam-6190	27	7	belleza	belleza	PROPN
ejpam-6190	27	8	and	and	CCONJ
ejpam-6190	27	9	j.	j.	PROPN
ejpam-6190	27	10	vilela	vilela	PROPN
ejpam-6190	28	1	[	[	X
ejpam-6190	28	2	9	9	NUM
ejpam-6190	28	3	]	]	PUNCT
ejpam-6190	28	4	introduced	introduce	VERB
ejpam-6190	28	5	and	and	CCONJ
ejpam-6190	28	6	characterized	characterize	VERB
ejpam-6190	28	7	the	the	DET
ejpam-6190	28	8	notion	notion	NOUN
ejpam-6190	28	9	of	of	ADP
ejpam-6190	28	10	a	a	DET
ejpam-6190	28	11	dual	dual	ADJ
ejpam-6190	28	12	b	b	NOUN
ejpam-6190	28	13	-	-	PUNCT
ejpam-6190	28	14	algebra	algebra	NOUN
ejpam-6190	28	15	.	.	PUNCT
ejpam-6190	29	1	in	in	ADP
ejpam-6190	29	2	2022	2022	NUM
ejpam-6190	29	3	,	,	PUNCT
ejpam-6190	29	4	k.	k.	PROPN
ejpam-6190	29	5	belleza	belleza	PROPN
ejpam-6190	29	6	and	and	CCONJ
ejpam-6190	29	7	j.	j.	PROPN
ejpam-6190	29	8	albaracin	albaracin	PROPN
ejpam-6190	29	9	[	[	X
ejpam-6190	29	10	10	10	NUM
ejpam-6190	29	11	]	]	PUNCT
ejpam-6190	29	12	introduced	introduce	VERB
ejpam-6190	29	13	the	the	DET
ejpam-6190	29	14	concepts	concept	NOUN
ejpam-6190	29	15	of	of	ADP
ejpam-6190	29	16	dual	dual	ADJ
ejpam-6190	29	17	b	b	NOUN
ejpam-6190	29	18	-	-	PUNCT
ejpam-6190	29	19	subalgebra	subalgebra	NOUN
ejpam-6190	29	20	and	and	CCONJ
ejpam-6190	29	21	dual	dual	ADJ
ejpam-6190	29	22	b	b	NOUN
ejpam-6190	29	23	-	-	NOUN
ejpam-6190	29	24	filter	filter	NOUN
ejpam-6190	29	25	.	.	PUNCT
ejpam-6190	30	1	motivated	motivate	VERB
ejpam-6190	30	2	by	by	ADP
ejpam-6190	30	3	the	the	DET
ejpam-6190	30	4	aforementioned	aforementioned	ADJ
ejpam-6190	30	5	studies	study	NOUN
ejpam-6190	30	6	,	,	PUNCT
ejpam-6190	30	7	this	this	DET
ejpam-6190	30	8	paper	paper	NOUN
ejpam-6190	30	9	aims	aim	VERB
ejpam-6190	30	10	to	to	PART
ejpam-6190	30	11	introduce	introduce	VERB
ejpam-6190	30	12	the	the	DET
ejpam-6190	30	13	structure	structure	NOUN
ejpam-6190	30	14	of	of	ADP
ejpam-6190	30	15	pseudo	pseudo	NOUN
ejpam-6190	30	16	-	-	ADJ
ejpam-6190	30	17	dual	dual	ADJ
ejpam-6190	30	18	b	b	NOUN
ejpam-6190	30	19	-	-	PUNCT
ejpam-6190	30	20	algebra	algebra	NOUN
ejpam-6190	30	21	and	and	CCONJ
ejpam-6190	30	22	some	some	PRON
ejpam-6190	30	23	of	of	ADP
ejpam-6190	30	24	its	its	PRON
ejpam-6190	30	25	subsets	subset	NOUN
ejpam-6190	30	26	,	,	PUNCT
ejpam-6190	30	27	particularly	particularly	ADV
ejpam-6190	30	28	pseudo	pseudo	NOUN
ejpam-6190	30	29	-	-	ADJ
ejpam-6190	30	30	dual	dual	ADJ
ejpam-6190	30	31	b	b	NOUN
ejpam-6190	30	32	-	-	PUNCT
ejpam-6190	30	33	subalgebra	subalgebra	ADJ
ejpam-6190	30	34	and	and	CCONJ
ejpam-6190	30	35	pseudo	pseudo	NOUN
ejpam-6190	30	36	-	-	ADJ
ejpam-6190	30	37	dual	dual	ADJ
ejpam-6190	30	38	b	b	NOUN
ejpam-6190	30	39	-	-	NOUN
ejpam-6190	30	40	filter	filter	NOUN
ejpam-6190	30	41	.	.	PUNCT
ejpam-6190	31	1	some	some	PRON
ejpam-6190	31	2	of	of	ADP
ejpam-6190	31	3	their	their	PRON
ejpam-6190	31	4	properties	property	NOUN
ejpam-6190	31	5	will	will	AUX
ejpam-6190	31	6	also	also	ADV
ejpam-6190	31	7	be	be	AUX
ejpam-6190	31	8	investigated	investigate	VERB
ejpam-6190	31	9	.	.	PUNCT
ejpam-6190	32	1	furthermore	furthermore	ADV
ejpam-6190	32	2	,	,	PUNCT
ejpam-6190	32	3	the	the	DET
ejpam-6190	32	4	relationship	relationship	NOUN
ejpam-6190	32	5	between	between	ADP
ejpam-6190	32	6	pseudo	pseudo	NOUN
ejpam-6190	32	7	-	-	ADJ
ejpam-6190	32	8	dual	dual	ADJ
ejpam-6190	32	9	b	b	NOUN
ejpam-6190	32	10	-	-	PUNCT
ejpam-6190	32	11	subalgebra	subalgebra	ADJ
ejpam-6190	32	12	and	and	CCONJ
ejpam-6190	32	13	pseudo	pseudo	NOUN
ejpam-6190	32	14	-	-	ADJ
ejpam-6190	32	15	dual	dual	ADJ
ejpam-6190	32	16	b	b	NOUN
ejpam-6190	32	17	-	-	PUNCT
ejpam-6190	32	18	filter	filter	NOUN
ejpam-6190	32	19	will	will	AUX
ejpam-6190	32	20	be	be	AUX
ejpam-6190	32	21	given	give	VERB
ejpam-6190	32	22	.	.	PUNCT
ejpam-6190	33	1	moreover	moreover	ADV
ejpam-6190	33	2	,	,	PUNCT
ejpam-6190	33	3	this	this	DET
ejpam-6190	33	4	study	study	NOUN
ejpam-6190	33	5	can	can	AUX
ejpam-6190	33	6	contribute	contribute	VERB
ejpam-6190	33	7	to	to	ADP
ejpam-6190	33	8	the	the	DET
ejpam-6190	33	9	understanding	understanding	NOUN
ejpam-6190	33	10	of	of	ADP
ejpam-6190	33	11	how	how	SCONJ
ejpam-6190	33	12	the	the	DET
ejpam-6190	33	13	term	term	NOUN
ejpam-6190	33	14	“	"	PUNCT
ejpam-6190	33	15	pseudo	pseudo	NOUN
ejpam-6190	33	16	”	"	PUNCT
ejpam-6190	33	17	is	be	AUX
ejpam-6190	33	18	used	use	VERB
ejpam-6190	33	19	in	in	ADP
ejpam-6190	33	20	algebraic	algebraic	ADJ
ejpam-6190	33	21	structures	structure	NOUN
ejpam-6190	33	22	,	,	PUNCT
ejpam-6190	33	23	and	and	CCONJ
ejpam-6190	33	24	the	the	DET
ejpam-6190	33	25	results	result	NOUN
ejpam-6190	33	26	of	of	ADP
ejpam-6190	33	27	this	this	DET
ejpam-6190	33	28	study	study	NOUN
ejpam-6190	33	29	could	could	AUX
ejpam-6190	33	30	be	be	AUX
ejpam-6190	33	31	used	use	VERB
ejpam-6190	33	32	to	to	PART
ejpam-6190	33	33	develop	develop	VERB
ejpam-6190	33	34	further	further	ADJ
ejpam-6190	33	35	studies	study	NOUN
ejpam-6190	33	36	.	.	PUNCT
ejpam-6190	34	1	2	2	X
ejpam-6190	34	2	.	.	X
ejpam-6190	34	3	preliminaries	preliminary	NOUN
ejpam-6190	34	4	definition	definition	NOUN
ejpam-6190	34	5	1	1	NUM
ejpam-6190	34	6	.	.	PUNCT
ejpam-6190	35	1	[	[	X
ejpam-6190	35	2	9	9	NUM
ejpam-6190	35	3	]	]	X
ejpam-6190	35	4	a	a	DET
ejpam-6190	35	5	dual	dual	ADJ
ejpam-6190	35	6	b	b	NOUN
ejpam-6190	35	7	-	-	PUNCT
ejpam-6190	35	8	algebra	algebra	NOUN
ejpam-6190	35	9	(	(	PUNCT
ejpam-6190	35	10	or	or	CCONJ
ejpam-6190	35	11	db	db	NOUN
ejpam-6190	35	12	-	-	PUNCT
ejpam-6190	35	13	algebra	algebra	NOUN
ejpam-6190	35	14	)	)	PUNCT
ejpam-6190	35	15	x	x	X
ejpam-6190	35	16	is	be	AUX
ejpam-6190	35	17	a	a	DET
ejpam-6190	35	18	triple	triple	ADJ
ejpam-6190	35	19	(	(	PUNCT
ejpam-6190	35	20	x	x	NOUN
ejpam-6190	35	21	,	,	PUNCT
ejpam-6190	35	22	•	•	NUM
ejpam-6190	35	23	,	,	PUNCT
ejpam-6190	35	24	1	1	NUM
ejpam-6190	35	25	)	)	PUNCT
ejpam-6190	35	26	where	where	SCONJ
ejpam-6190	35	27	x	x	PRON
ejpam-6190	35	28	is	be	AUX
ejpam-6190	35	29	a	a	DET
ejpam-6190	35	30	nonempty	nonempty	ADV
ejpam-6190	35	31	set	set	VERB
ejpam-6190	35	32	with	with	ADP
ejpam-6190	35	33	a	a	DET
ejpam-6190	35	34	binary	binary	ADJ
ejpam-6190	35	35	operation	operation	NOUN
ejpam-6190	35	36	“	"	PUNCT
ejpam-6190	35	37	•	•	NOUN
ejpam-6190	35	38	”	"	PUNCT
ejpam-6190	35	39	and	and	CCONJ
ejpam-6190	35	40	a	a	DET
ejpam-6190	35	41	constant	constant	ADJ
ejpam-6190	35	42	1	1	NUM
ejpam-6190	35	43	satisfying	satisfy	VERB
ejpam-6190	35	44	the	the	DET
ejpam-6190	35	45	following	follow	VERB
ejpam-6190	35	46	axioms	axiom	NOUN
ejpam-6190	35	47	for	for	ADP
ejpam-6190	35	48	all	all	DET
ejpam-6190	35	49	x	x	NOUN
ejpam-6190	35	50	,	,	PUNCT
ejpam-6190	35	51	y	y	PROPN
ejpam-6190	35	52	,	,	PUNCT
ejpam-6190	35	53	z	z	VERB
ejpam-6190	35	54	in	in	ADP
ejpam-6190	35	55	x	x	NOUN
ejpam-6190	35	56	:	:	PUNCT
ejpam-6190	35	57	(	(	PUNCT
ejpam-6190	35	58	db1	db1	NOUN
ejpam-6190	35	59	)	)	PUNCT
ejpam-6190	35	60	x	x	SYM
ejpam-6190	35	61	•	•	NUM
ejpam-6190	35	62	x	x	SYM
ejpam-6190	35	63	=	=	SYM
ejpam-6190	35	64	1	1	NUM
ejpam-6190	35	65	;	;	PUNCT
ejpam-6190	35	66	(	(	PUNCT
ejpam-6190	35	67	db2	db2	NOUN
ejpam-6190	35	68	)	)	PUNCT
ejpam-6190	35	69	1	1	NUM
ejpam-6190	35	70	•	•	NOUN
ejpam-6190	35	71	x	x	X
ejpam-6190	35	72	=	=	SYM
ejpam-6190	35	73	x	x	NOUN
ejpam-6190	35	74	;	;	PUNCT
ejpam-6190	35	75	and	and	CCONJ
ejpam-6190	35	76	(	(	PUNCT
ejpam-6190	35	77	db3	db3	PROPN
ejpam-6190	35	78	)	)	PUNCT
ejpam-6190	35	79	x	x	SYM
ejpam-6190	35	80	•	•	X
ejpam-6190	35	81	(	(	PUNCT
ejpam-6190	35	82	y	y	PROPN
ejpam-6190	35	83	•	•	PROPN
ejpam-6190	35	84	z	z	PROPN
ejpam-6190	35	85	)	)	PUNCT
ejpam-6190	35	86	=	=	SYM
ejpam-6190	35	87	(	(	PUNCT
ejpam-6190	35	88	(	(	PUNCT
ejpam-6190	35	89	y	y	NOUN
ejpam-6190	35	90	•	•	NUM
ejpam-6190	35	91	1	1	NUM
ejpam-6190	35	92	)	)	PUNCT
ejpam-6190	35	93	•	•	NUM
ejpam-6190	35	94	x	x	X
ejpam-6190	35	95	)	)	PUNCT
ejpam-6190	35	96	•	•	NUM
ejpam-6190	35	97	z.	z.	PROPN
ejpam-6190	35	98	definition	definition	NOUN
ejpam-6190	35	99	2	2	NUM
ejpam-6190	35	100	.	.	PUNCT
ejpam-6190	36	1	[	[	X
ejpam-6190	36	2	10	10	NUM
ejpam-6190	36	3	]	]	PUNCT
ejpam-6190	36	4	let	let	VERB
ejpam-6190	36	5	x	x	PRON
ejpam-6190	36	6	be	be	AUX
ejpam-6190	36	7	a	a	DET
ejpam-6190	36	8	db	db	NOUN
ejpam-6190	36	9	-	-	PUNCT
ejpam-6190	36	10	algebra	algebra	NOUN
ejpam-6190	36	11	and	and	CCONJ
ejpam-6190	36	12	s	s	VERB
ejpam-6190	36	13	a	a	DET
ejpam-6190	36	14	nonempty	nonempty	ADJ
ejpam-6190	36	15	subset	subset	NOUN
ejpam-6190	36	16	of	of	ADP
ejpam-6190	36	17	x.	x.	NOUN
ejpam-6190	36	18	then	then	ADV
ejpam-6190	36	19	s	s	VERB
ejpam-6190	36	20	is	be	AUX
ejpam-6190	36	21	called	call	VERB
ejpam-6190	36	22	a	a	DET
ejpam-6190	36	23	dual	dual	ADJ
ejpam-6190	36	24	b	b	NOUN
ejpam-6190	36	25	-	-	PUNCT
ejpam-6190	36	26	subalgebra	subalgebra	ADJ
ejpam-6190	36	27	(	(	PUNCT
ejpam-6190	36	28	or	or	CCONJ
ejpam-6190	36	29	db	db	NOUN
ejpam-6190	36	30	-	-	PUNCT
ejpam-6190	36	31	subalgebra	subalgebra	NOUN
ejpam-6190	36	32	)	)	PUNCT
ejpam-6190	36	33	of	of	ADP
ejpam-6190	36	34	x	x	PRON
ejpam-6190	36	35	if	if	SCONJ
ejpam-6190	36	36	s	s	PRON
ejpam-6190	36	37	itself	itself	PRON
ejpam-6190	36	38	is	be	AUX
ejpam-6190	36	39	a	a	DET
ejpam-6190	36	40	db	db	NOUN
ejpam-6190	36	41	-	-	PUNCT
ejpam-6190	36	42	algebra	algebra	NOUN
ejpam-6190	36	43	with	with	ADP
ejpam-6190	36	44	binary	binary	ADJ
ejpam-6190	36	45	operation	operation	NOUN
ejpam-6190	36	46	of	of	ADP
ejpam-6190	36	47	x	x	PUNCT
ejpam-6190	36	48	on	on	ADP
ejpam-6190	36	49	s.	s.	PROPN
ejpam-6190	36	50	definition	definition	NOUN
ejpam-6190	36	51	3	3	NUM
ejpam-6190	36	52	.	.	PUNCT
ejpam-6190	37	1	[	[	X
ejpam-6190	37	2	10	10	NUM
ejpam-6190	37	3	]	]	PUNCT
ejpam-6190	37	4	let	let	VERB
ejpam-6190	37	5	x	x	PRON
ejpam-6190	37	6	be	be	AUX
ejpam-6190	37	7	a	a	DET
ejpam-6190	37	8	db	db	NOUN
ejpam-6190	37	9	-	-	PUNCT
ejpam-6190	37	10	algebra	algebra	NOUN
ejpam-6190	37	11	.	.	PUNCT
ejpam-6190	38	1	a	a	DET
ejpam-6190	38	2	subset	subset	NOUN
ejpam-6190	38	3	f	f	NOUN
ejpam-6190	38	4	of	of	ADP
ejpam-6190	38	5	x	x	PROPN
ejpam-6190	38	6	is	be	AUX
ejpam-6190	38	7	called	call	VERB
ejpam-6190	38	8	a	a	DET
ejpam-6190	38	9	dual	dual	ADJ
ejpam-6190	38	10	b	b	NOUN
ejpam-6190	38	11	-	-	NOUN
ejpam-6190	38	12	filter	filter	NOUN
ejpam-6190	38	13	(	(	PUNCT
ejpam-6190	38	14	or	or	CCONJ
ejpam-6190	38	15	db	db	ADJ
ejpam-6190	38	16	-	-	PUNCT
ejpam-6190	38	17	filter	filter	NOUN
ejpam-6190	38	18	)	)	PUNCT
ejpam-6190	38	19	if	if	SCONJ
ejpam-6190	38	20	it	it	PRON
ejpam-6190	38	21	satisfies	satisfy	VERB
ejpam-6190	38	22	the	the	DET
ejpam-6190	38	23	following	following	ADJ
ejpam-6190	38	24	axioms	axiom	NOUN
ejpam-6190	38	25	for	for	ADP
ejpam-6190	38	26	all	all	DET
ejpam-6190	38	27	x	x	NOUN
ejpam-6190	38	28	,	,	PUNCT
ejpam-6190	38	29	y	y	PROPN
ejpam-6190	38	30	in	in	ADP
ejpam-6190	38	31	x	x	NOUN
ejpam-6190	38	32	:	:	PUNCT
ejpam-6190	38	33	(	(	PUNCT
ejpam-6190	38	34	i	i	NOUN
ejpam-6190	38	35	)	)	PUNCT
ejpam-6190	38	36	1	1	NUM
ejpam-6190	38	37	∈	∈	PROPN
ejpam-6190	38	38	f	f	NOUN
ejpam-6190	38	39	;	;	PUNCT
ejpam-6190	38	40	and	and	CCONJ
ejpam-6190	38	41	(	(	PUNCT
ejpam-6190	38	42	ii	ii	NOUN
ejpam-6190	38	43	)	)	PUNCT
ejpam-6190	38	44	x	x	SYM
ejpam-6190	39	1	•	•	NUM
ejpam-6190	39	2	y	y	PROPN
ejpam-6190	39	3	∈	∈	PROPN
ejpam-6190	39	4	f	f	PROPN
ejpam-6190	39	5	and	and	CCONJ
ejpam-6190	39	6	x	x	PROPN
ejpam-6190	39	7	∈	∈	NOUN
ejpam-6190	40	1	f	f	X
ejpam-6190	40	2	imply	imply	VERB
ejpam-6190	40	3	y	y	PROPN
ejpam-6190	40	4	∈	∈	PROPN
ejpam-6190	41	1	f	f	X
ejpam-6190	41	2	.	.	PUNCT
ejpam-6190	42	1	3	3	X
ejpam-6190	42	2	.	.	X
ejpam-6190	42	3	pseudo	pseudo	NOUN
ejpam-6190	42	4	-	-	ADJ
ejpam-6190	42	5	dual	dual	ADJ
ejpam-6190	42	6	b	b	NOUN
ejpam-6190	42	7	-	-	PUNCT
ejpam-6190	42	8	algebra	algebra	NOUN
ejpam-6190	42	9	definition	definition	NOUN
ejpam-6190	42	10	4	4	NUM
ejpam-6190	42	11	.	.	PUNCT
ejpam-6190	43	1	a	a	DET
ejpam-6190	43	2	pseudo	pseudo	NOUN
ejpam-6190	43	3	-	-	ADJ
ejpam-6190	43	4	dual	dual	ADJ
ejpam-6190	43	5	b	b	NOUN
ejpam-6190	43	6	-	-	PUNCT
ejpam-6190	43	7	algebra	algebra	NOUN
ejpam-6190	43	8	(	(	PUNCT
ejpam-6190	43	9	or	or	CCONJ
ejpam-6190	43	10	pseudo	pseudo	NOUN
ejpam-6190	43	11	-	-	ADJ
ejpam-6190	43	12	db	db	NOUN
ejpam-6190	43	13	-	-	PUNCT
ejpam-6190	43	14	algebra)x	algebra)x	PROPN
ejpam-6190	43	15	is	be	AUX
ejpam-6190	43	16	a	a	DET
ejpam-6190	43	17	quadruple	quadruple	NOUN
ejpam-6190	43	18	(	(	PUNCT
ejpam-6190	43	19	x	x	X
ejpam-6190	43	20	,	,	PUNCT
ejpam-6190	43	21	•	•	NUM
ejpam-6190	43	22	,	,	PUNCT
ejpam-6190	43	23	∗	∗	NOUN
ejpam-6190	43	24	,	,	PUNCT
ejpam-6190	43	25	1	1	NUM
ejpam-6190	43	26	)	)	PUNCT
ejpam-6190	43	27	where	where	SCONJ
ejpam-6190	43	28	x	x	PRON
ejpam-6190	43	29	is	be	AUX
ejpam-6190	43	30	a	a	DET
ejpam-6190	43	31	nonempty	nonempty	NOUN
ejpam-6190	43	32	set	set	VERB
ejpam-6190	43	33	with	with	ADP
ejpam-6190	43	34	two	two	NUM
ejpam-6190	43	35	binary	binary	ADJ
ejpam-6190	43	36	operations	operation	NOUN
ejpam-6190	43	37	“	"	PUNCT
ejpam-6190	43	38	•	•	NOUN
ejpam-6190	43	39	”	"	PUNCT
ejpam-6190	43	40	and	and	CCONJ
ejpam-6190	43	41	“	"	PUNCT
ejpam-6190	43	42	∗	∗	NOUN
ejpam-6190	43	43	”	"	PUNCT
ejpam-6190	43	44	and	and	CCONJ
ejpam-6190	43	45	a	a	DET
ejpam-6190	43	46	constant	constant	ADJ
ejpam-6190	43	47	1	1	NUM
ejpam-6190	43	48	satisfying	satisfy	VERB
ejpam-6190	43	49	the	the	DET
ejpam-6190	43	50	following	follow	VERB
ejpam-6190	43	51	axioms	axiom	NOUN
ejpam-6190	43	52	for	for	ADP
ejpam-6190	43	53	all	all	DET
ejpam-6190	43	54	x	x	NOUN
ejpam-6190	43	55	,	,	PUNCT
ejpam-6190	43	56	y	y	PROPN
ejpam-6190	43	57	,	,	PUNCT
ejpam-6190	43	58	z	z	VERB
ejpam-6190	43	59	in	in	ADP
ejpam-6190	43	60	x	x	NOUN
ejpam-6190	43	61	:	:	PUNCT
ejpam-6190	43	62	(	(	PUNCT
ejpam-6190	43	63	pdb1	pdb1	NOUN
ejpam-6190	43	64	)	)	PUNCT
ejpam-6190	43	65	x	x	PUNCT
ejpam-6190	44	1	•	•	NUM
ejpam-6190	44	2	x	x	SYM
ejpam-6190	44	3	=	=	SYM
ejpam-6190	44	4	1	1	NUM
ejpam-6190	44	5	and	and	CCONJ
ejpam-6190	44	6	x	x	NOUN
ejpam-6190	44	7	∗	∗	NOUN
ejpam-6190	44	8	x	x	X
ejpam-6190	44	9	=	=	NOUN
ejpam-6190	44	10	1	1	NUM
ejpam-6190	44	11	;	;	PUNCT
ejpam-6190	44	12	(	(	PUNCT
ejpam-6190	44	13	pdb2	pdb2	NOUN
ejpam-6190	44	14	)	)	PUNCT
ejpam-6190	44	15	1	1	NUM
ejpam-6190	44	16	•	•	NOUN
ejpam-6190	44	17	x	x	X
ejpam-6190	44	18	=	=	SYM
ejpam-6190	44	19	x	x	X
ejpam-6190	44	20	and	and	CCONJ
ejpam-6190	44	21	1	1	NUM
ejpam-6190	44	22	∗	∗	NOUN
ejpam-6190	44	23	x	x	X
ejpam-6190	45	1	=	=	SYM
ejpam-6190	45	2	x	x	NOUN
ejpam-6190	45	3	;	;	PUNCT
ejpam-6190	45	4	and	and	CCONJ
ejpam-6190	45	5	(	(	PUNCT
ejpam-6190	45	6	pdb3	pdb3	NOUN
ejpam-6190	45	7	)	)	PUNCT
ejpam-6190	45	8	x	x	SYM
ejpam-6190	46	1	•	•	X
ejpam-6190	46	2	(	(	PUNCT
ejpam-6190	46	3	y	y	PROPN
ejpam-6190	46	4	∗	∗	PROPN
ejpam-6190	46	5	z	z	NOUN
ejpam-6190	46	6	)	)	PUNCT
ejpam-6190	46	7	=	=	SYM
ejpam-6190	46	8	(	(	PUNCT
ejpam-6190	46	9	(	(	PUNCT
ejpam-6190	46	10	y	y	PROPN
ejpam-6190	46	11	∗	∗	PROPN
ejpam-6190	46	12	1	1	NUM
ejpam-6190	46	13	)	)	PUNCT
ejpam-6190	46	14	•	•	NUM
ejpam-6190	46	15	x	x	X
ejpam-6190	46	16	)	)	PUNCT
ejpam-6190	46	17	•	•	ADP
ejpam-6190	46	18	z	z	NOUN
ejpam-6190	46	19	and	and	CCONJ
ejpam-6190	46	20	x	x	SYM
ejpam-6190	46	21	∗	∗	NOUN
ejpam-6190	46	22	(	(	PUNCT
ejpam-6190	46	23	y	y	PROPN
ejpam-6190	46	24	•	•	PROPN
ejpam-6190	46	25	z	z	PROPN
ejpam-6190	46	26	)	)	PUNCT
ejpam-6190	46	27	=	=	SYM
ejpam-6190	46	28	(	(	PUNCT
ejpam-6190	46	29	(	(	PUNCT
ejpam-6190	46	30	y	y	NOUN
ejpam-6190	46	31	•	•	NUM
ejpam-6190	46	32	1	1	NUM
ejpam-6190	46	33	)	)	PUNCT
ejpam-6190	46	34	∗	∗	NOUN
ejpam-6190	46	35	x	x	NOUN
ejpam-6190	46	36	)	)	PUNCT
ejpam-6190	46	37	∗	∗	NOUN
ejpam-6190	46	38	z.	z.	PROPN
ejpam-6190	46	39	j.	j.	PROPN
ejpam-6190	46	40	m.	m.	PROPN
ejpam-6190	46	41	s.	s.	PROPN
ejpam-6190	46	42	leuveras	leuveras	PROPN
ejpam-6190	46	43	,	,	PUNCT
ejpam-6190	46	44	k.	k.	PROPN
ejpam-6190	46	45	b.	b.	PROPN
ejpam-6190	46	46	fuentes	fuentes	PROPN
ejpam-6190	46	47	/	/	SYM
ejpam-6190	46	48	eur	eur	PROPN
ejpam-6190	46	49	.	.	PUNCT
ejpam-6190	47	1	j.	j.	PROPN
ejpam-6190	47	2	pure	pure	PROPN
ejpam-6190	47	3	appl	appl	PROPN
ejpam-6190	47	4	.	.	PROPN
ejpam-6190	47	5	math	math	PROPN
ejpam-6190	47	6	,	,	PUNCT
ejpam-6190	47	7	18	18	NUM
ejpam-6190	47	8	(	(	PUNCT
ejpam-6190	47	9	4	4	NUM
ejpam-6190	47	10	)	)	PUNCT
ejpam-6190	47	11	(	(	PUNCT
ejpam-6190	47	12	2025	2025	NUM
ejpam-6190	47	13	)	)	PUNCT
ejpam-6190	47	14	,	,	PUNCT
ejpam-6190	47	15	6190	6190	NUM
ejpam-6190	47	16	3	3	NUM
ejpam-6190	47	17	of	of	ADP
ejpam-6190	47	18	12	12	NUM
ejpam-6190	47	19	in	in	ADP
ejpam-6190	47	20	a	a	DET
ejpam-6190	47	21	pseudo	pseudo	NOUN
ejpam-6190	47	22	-	-	ADJ
ejpam-6190	47	23	db	db	NOUN
ejpam-6190	47	24	-	-	PUNCT
ejpam-6190	47	25	algebra	algebra	NOUN
ejpam-6190	47	26	x	x	NOUN
ejpam-6190	47	27	,	,	PUNCT
ejpam-6190	47	28	define	define	VERB
ejpam-6190	47	29	a	a	DET
ejpam-6190	47	30	binary	binary	ADJ
ejpam-6190	47	31	relation	relation	NOUN
ejpam-6190	47	32	“	"	PUNCT
ejpam-6190	47	33	≤	≤	X
ejpam-6190	47	34	”	"	PUNCT
ejpam-6190	47	35	by	by	ADP
ejpam-6190	47	36	x	x	PROPN
ejpam-6190	47	37	≤	≤	NUM
ejpam-6190	47	38	y	y	NUM
ejpam-6190	47	39	⇐	⇐	ADJ
ejpam-6190	47	40	⇒	⇒	NOUN
ejpam-6190	47	41	x	x	PUNCT
ejpam-6190	48	1	•	•	NUM
ejpam-6190	48	2	y	y	NOUN
ejpam-6190	48	3	=	=	SYM
ejpam-6190	48	4	1	1	NUM
ejpam-6190	48	5	⇐	⇐	ADJ
ejpam-6190	48	6	⇒	⇒	NOUN
ejpam-6190	48	7	x	x	X
ejpam-6190	48	8	∗	∗	NOUN
ejpam-6190	48	9	y	y	NOUN
ejpam-6190	48	10	=	=	SYM
ejpam-6190	48	11	1	1	NUM
ejpam-6190	48	12	,	,	PUNCT
ejpam-6190	48	13	for	for	ADP
ejpam-6190	48	14	any	any	DET
ejpam-6190	48	15	x	x	NOUN
ejpam-6190	48	16	,	,	PUNCT
ejpam-6190	48	17	y	y	PROPN
ejpam-6190	48	18	∈	∈	PROPN
ejpam-6190	48	19	x.	x.	NOUN
ejpam-6190	48	20	note	note	VERB
ejpam-6190	48	21	:	:	PUNCT
ejpam-6190	48	22	a	a	DET
ejpam-6190	48	23	python	python	NOUN
ejpam-6190	48	24	program	program	NOUN
ejpam-6190	48	25	(	(	PUNCT
ejpam-6190	48	26	see	see	VERB
ejpam-6190	48	27	appendix	appendix	NOUN
ejpam-6190	48	28	)	)	PUNCT
ejpam-6190	48	29	was	be	AUX
ejpam-6190	48	30	used	use	VERB
ejpam-6190	48	31	to	to	PART
ejpam-6190	48	32	perform	perform	VERB
ejpam-6190	48	33	the	the	DET
ejpam-6190	48	34	calculations	calculation	NOUN
ejpam-6190	48	35	needed	need	VERB
ejpam-6190	48	36	to	to	PART
ejpam-6190	48	37	verify	verify	VERB
ejpam-6190	48	38	example	example	NOUN
ejpam-6190	48	39	1	1	NUM
ejpam-6190	48	40	,	,	PUNCT
ejpam-6190	48	41	example	example	NOUN
ejpam-6190	48	42	2	2	NUM
ejpam-6190	48	43	,	,	PUNCT
ejpam-6190	48	44	example	example	NOUN
ejpam-6190	48	45	3	3	NUM
ejpam-6190	48	46	,	,	PUNCT
ejpam-6190	48	47	and	and	CCONJ
ejpam-6190	48	48	example	example	NOUN
ejpam-6190	48	49	4	4	NUM
ejpam-6190	48	50	.	.	NOUN
ejpam-6190	48	51	example	example	NOUN
ejpam-6190	49	1	1	1	NUM
ejpam-6190	49	2	.	.	X
ejpam-6190	49	3	consider	consider	VERB
ejpam-6190	49	4	(	(	PUNCT
ejpam-6190	49	5	x	x	NOUN
ejpam-6190	49	6	,	,	PUNCT
ejpam-6190	49	7	•	•	NUM
ejpam-6190	49	8	,	,	PUNCT
ejpam-6190	49	9	∗	∗	NOUN
ejpam-6190	49	10	,	,	PUNCT
ejpam-6190	49	11	1	1	NUM
ejpam-6190	49	12	)	)	PUNCT
ejpam-6190	49	13	,	,	PUNCT
ejpam-6190	49	14	where	where	SCONJ
ejpam-6190	49	15	x	x	X
ejpam-6190	49	16	=	=	PRON
ejpam-6190	49	17	{	{	PUNCT
ejpam-6190	49	18	1,−1	1,−1	NUM
ejpam-6190	49	19	}	}	PUNCT
ejpam-6190	49	20	,	,	PUNCT
ejpam-6190	49	21	“	"	PUNCT
ejpam-6190	49	22	•	•	X
ejpam-6190	49	23	”	"	PUNCT
ejpam-6190	49	24	is	be	AUX
ejpam-6190	49	25	the	the	DET
ejpam-6190	49	26	usual	usual	ADJ
ejpam-6190	49	27	multiplication	multiplication	NOUN
ejpam-6190	49	28	,	,	PUNCT
ejpam-6190	49	29	and	and	CCONJ
ejpam-6190	49	30	“	"	PUNCT
ejpam-6190	49	31	∗	∗	NOUN
ejpam-6190	49	32	”	"	PUNCT
ejpam-6190	49	33	is	be	AUX
ejpam-6190	49	34	the	the	DET
ejpam-6190	49	35	usual	usual	ADJ
ejpam-6190	49	36	division	division	NOUN
ejpam-6190	49	37	.	.	PUNCT
ejpam-6190	50	1	then	then	ADV
ejpam-6190	50	2	x	x	X
ejpam-6190	50	3	is	be	AUX
ejpam-6190	50	4	a	a	DET
ejpam-6190	50	5	pseudo	pseudo	NOUN
ejpam-6190	50	6	-	-	ADJ
ejpam-6190	50	7	db	db	NOUN
ejpam-6190	50	8	-	-	PUNCT
ejpam-6190	50	9	algebra	algebra	NOUN
ejpam-6190	50	10	.	.	PUNCT
ejpam-6190	51	1	in	in	ADP
ejpam-6190	51	2	definition	definition	NOUN
ejpam-6190	51	3	4	4	NUM
ejpam-6190	51	4	,	,	PUNCT
ejpam-6190	51	5	the	the	DET
ejpam-6190	51	6	three	three	NUM
ejpam-6190	51	7	axioms	axiom	NOUN
ejpam-6190	51	8	(	(	PUNCT
ejpam-6190	51	9	pdb1	pdb1	NOUN
ejpam-6190	51	10	)	)	PUNCT
ejpam-6190	51	11	,	,	PUNCT
ejpam-6190	51	12	(	(	PUNCT
ejpam-6190	51	13	pdb2	pdb2	NOUN
ejpam-6190	51	14	)	)	PUNCT
ejpam-6190	51	15	,	,	PUNCT
ejpam-6190	51	16	and	and	CCONJ
ejpam-6190	51	17	(	(	PUNCT
ejpam-6190	51	18	pdb3	pdb3	NOUN
ejpam-6190	51	19	)	)	PUNCT
ejpam-6190	51	20	are	be	AUX
ejpam-6190	51	21	independent	independent	ADJ
ejpam-6190	51	22	,	,	PUNCT
ejpam-6190	51	23	which	which	PRON
ejpam-6190	51	24	ensures	ensure	VERB
ejpam-6190	51	25	that	that	SCONJ
ejpam-6190	51	26	one	one	NUM
ejpam-6190	51	27	axiom	axiom	NOUN
ejpam-6190	51	28	can	can	AUX
ejpam-6190	51	29	not	not	PART
ejpam-6190	51	30	be	be	AUX
ejpam-6190	51	31	derived	derive	VERB
ejpam-6190	51	32	from	from	ADP
ejpam-6190	51	33	the	the	DET
ejpam-6190	51	34	other	other	ADJ
ejpam-6190	51	35	to	to	PART
ejpam-6190	51	36	avoid	avoid	VERB
ejpam-6190	51	37	redundancy	redundancy	NOUN
ejpam-6190	51	38	.	.	PUNCT
ejpam-6190	52	1	this	this	PRON
ejpam-6190	52	2	is	be	AUX
ejpam-6190	52	3	illustrated	illustrate	VERB
ejpam-6190	52	4	in	in	ADP
ejpam-6190	52	5	example	example	NOUN
ejpam-6190	52	6	2	2	NUM
ejpam-6190	52	7	,	,	PUNCT
ejpam-6190	52	8	example	example	NOUN
ejpam-6190	52	9	3	3	NUM
ejpam-6190	52	10	,	,	PUNCT
ejpam-6190	52	11	and	and	CCONJ
ejpam-6190	52	12	example	example	NOUN
ejpam-6190	52	13	4	4	NUM
ejpam-6190	52	14	,	,	PUNCT
ejpam-6190	52	15	where	where	SCONJ
ejpam-6190	52	16	the	the	DET
ejpam-6190	52	17	axioms	axiom	NOUN
ejpam-6190	52	18	(	(	PUNCT
ejpam-6190	52	19	pdb1	pdb1	NOUN
ejpam-6190	52	20	)	)	PUNCT
ejpam-6190	52	21	and	and	CCONJ
ejpam-6190	52	22	(	(	PUNCT
ejpam-6190	52	23	pdb2	pdb2	NOUN
ejpam-6190	52	24	)	)	PUNCT
ejpam-6190	52	25	hold	hold	NOUN
ejpam-6190	52	26	but	but	CCONJ
ejpam-6190	52	27	axiom	axiom	NOUN
ejpam-6190	52	28	(	(	PUNCT
ejpam-6190	52	29	pdb3	pdb3	NOUN
ejpam-6190	52	30	)	)	PUNCT
ejpam-6190	52	31	fails	fail	VERB
ejpam-6190	52	32	,	,	PUNCT
ejpam-6190	52	33	the	the	DET
ejpam-6190	52	34	axioms	axiom	NOUN
ejpam-6190	52	35	(	(	PUNCT
ejpam-6190	52	36	pdb1	pdb1	NOUN
ejpam-6190	52	37	)	)	PUNCT
ejpam-6190	52	38	and	and	CCONJ
ejpam-6190	52	39	(	(	PUNCT
ejpam-6190	52	40	pdb3	pdb3	NOUN
ejpam-6190	52	41	)	)	PUNCT
ejpam-6190	52	42	hold	hold	VERB
ejpam-6190	52	43	but	but	CCONJ
ejpam-6190	52	44	axiom	axiom	NOUN
ejpam-6190	52	45	(	(	PUNCT
ejpam-6190	52	46	pdb2	pdb2	NOUN
ejpam-6190	52	47	)	)	PUNCT
ejpam-6190	52	48	fails	fail	VERB
ejpam-6190	52	49	,	,	PUNCT
ejpam-6190	52	50	and	and	CCONJ
ejpam-6190	52	51	the	the	DET
ejpam-6190	52	52	axioms	axiom	NOUN
ejpam-6190	52	53	(	(	PUNCT
ejpam-6190	52	54	pdb2	pdb2	NOUN
ejpam-6190	52	55	)	)	PUNCT
ejpam-6190	52	56	and	and	CCONJ
ejpam-6190	52	57	(	(	PUNCT
ejpam-6190	52	58	pdb3	pdb3	NOUN
ejpam-6190	52	59	)	)	PUNCT
ejpam-6190	52	60	hold	hold	VERB
ejpam-6190	52	61	but	but	CCONJ
ejpam-6190	52	62	axiom	axiom	NOUN
ejpam-6190	52	63	(	(	PUNCT
ejpam-6190	52	64	pdb1	pdb1	NOUN
ejpam-6190	52	65	)	)	PUNCT
ejpam-6190	52	66	fails	fail	VERB
ejpam-6190	52	67	,	,	PUNCT
ejpam-6190	52	68	respectively	respectively	ADV
ejpam-6190	52	69	.	.	PUNCT
ejpam-6190	53	1	moreover	moreover	ADV
ejpam-6190	53	2	,	,	PUNCT
ejpam-6190	53	3	example	example	NOUN
ejpam-6190	53	4	2	2	NUM
ejpam-6190	53	5	,	,	PUNCT
ejpam-6190	53	6	example	example	NOUN
ejpam-6190	53	7	3	3	NUM
ejpam-6190	53	8	,	,	PUNCT
ejpam-6190	53	9	and	and	CCONJ
ejpam-6190	53	10	example	example	NOUN
ejpam-6190	53	11	4	4	NUM
ejpam-6190	53	12	are	be	AUX
ejpam-6190	53	13	counterexamples	counterexample	NOUN
ejpam-6190	53	14	of	of	ADP
ejpam-6190	53	15	a	a	DET
ejpam-6190	53	16	pseudo	pseudo	NOUN
ejpam-6190	53	17	-	-	ADJ
ejpam-6190	53	18	db	db	NOUN
ejpam-6190	53	19	-	-	PUNCT
ejpam-6190	53	20	algebra	algebra	NOUN
ejpam-6190	53	21	.	.	PUNCT
ejpam-6190	54	1	example	example	NOUN
ejpam-6190	54	2	2	2	NUM
ejpam-6190	54	3	.	.	PUNCT
ejpam-6190	55	1	let	let	VERB
ejpam-6190	55	2	x	x	PUNCT
ejpam-6190	55	3	=	=	PRON
ejpam-6190	55	4	{	{	PUNCT
ejpam-6190	55	5	1	1	NUM
ejpam-6190	55	6	,	,	PUNCT
ejpam-6190	55	7	a	a	DET
ejpam-6190	55	8	,	,	PUNCT
ejpam-6190	55	9	b	b	NOUN
ejpam-6190	55	10	}	}	PUNCT
ejpam-6190	55	11	.	.	PUNCT
ejpam-6190	56	1	define	define	VERB
ejpam-6190	56	2	the	the	DET
ejpam-6190	56	3	binary	binary	ADJ
ejpam-6190	56	4	operations	operation	NOUN
ejpam-6190	56	5	“	"	PUNCT
ejpam-6190	56	6	•	•	NOUN
ejpam-6190	56	7	”	"	PUNCT
ejpam-6190	56	8	and	and	CCONJ
ejpam-6190	56	9	“	"	PUNCT
ejpam-6190	56	10	∗	∗	NOUN
ejpam-6190	56	11	”	"	PUNCT
ejpam-6190	56	12	on	on	ADP
ejpam-6190	56	13	x	x	PUNCT
ejpam-6190	56	14	by	by	ADP
ejpam-6190	56	15	the	the	DET
ejpam-6190	56	16	following	following	ADJ
ejpam-6190	56	17	cayley	cayley	ADJ
ejpam-6190	56	18	tables	table	NOUN
ejpam-6190	56	19	:	:	PUNCT
ejpam-6190	56	20	•	•	NUM
ejpam-6190	56	21	1	1	NUM
ejpam-6190	56	22	a	a	DET
ejpam-6190	56	23	b	b	NUM
ejpam-6190	56	24	1	1	NUM
ejpam-6190	56	25	1	1	NUM
ejpam-6190	56	26	a	a	DET
ejpam-6190	56	27	b	b	NOUN
ejpam-6190	56	28	a	a	PRON
ejpam-6190	56	29	a	a	DET
ejpam-6190	56	30	1	1	NUM
ejpam-6190	56	31	b	b	PROPN
ejpam-6190	56	32	b	b	PROPN
ejpam-6190	56	33	b	b	PROPN
ejpam-6190	56	34	b	b	PROPN
ejpam-6190	56	35	1	1	NUM
ejpam-6190	56	36	∗	∗	NOUN
ejpam-6190	56	37	1	1	NUM
ejpam-6190	56	38	a	a	DET
ejpam-6190	56	39	b	b	NUM
ejpam-6190	56	40	1	1	NUM
ejpam-6190	56	41	1	1	NUM
ejpam-6190	56	42	a	a	DET
ejpam-6190	56	43	b	b	NOUN
ejpam-6190	56	44	a	a	DET
ejpam-6190	56	45	a	a	DET
ejpam-6190	56	46	1	1	NUM
ejpam-6190	56	47	a	a	DET
ejpam-6190	56	48	b	b	PROPN
ejpam-6190	56	49	b	b	NOUN
ejpam-6190	56	50	a	a	DET
ejpam-6190	56	51	1	1	NUM
ejpam-6190	56	52	then	then	ADV
ejpam-6190	56	53	the	the	DET
ejpam-6190	56	54	axioms	axiom	NOUN
ejpam-6190	56	55	(	(	PUNCT
ejpam-6190	56	56	pdb1	pdb1	NOUN
ejpam-6190	56	57	)	)	PUNCT
ejpam-6190	56	58	and	and	CCONJ
ejpam-6190	56	59	(	(	PUNCT
ejpam-6190	56	60	pdb2	pdb2	NOUN
ejpam-6190	56	61	)	)	PUNCT
ejpam-6190	56	62	hold	hold	VERB
ejpam-6190	56	63	.	.	PUNCT
ejpam-6190	57	1	however	however	ADV
ejpam-6190	57	2	,	,	PUNCT
ejpam-6190	57	3	(	(	PUNCT
ejpam-6190	57	4	pdb3	pdb3	NOUN
ejpam-6190	57	5	)	)	PUNCT
ejpam-6190	57	6	fails	fail	VERB
ejpam-6190	57	7	since	since	SCONJ
ejpam-6190	57	8	a	a	DET
ejpam-6190	57	9	•	•	NOUN
ejpam-6190	57	10	(	(	PUNCT
ejpam-6190	57	11	b	b	NOUN
ejpam-6190	57	12	∗	∗	X
ejpam-6190	57	13	b	b	NOUN
ejpam-6190	57	14	)	)	PUNCT
ejpam-6190	57	15	=	=	SYM
ejpam-6190	57	16	a	a	DET
ejpam-6190	57	17	•	•	NUM
ejpam-6190	57	18	1	1	NUM
ejpam-6190	57	19	=	=	NOUN
ejpam-6190	57	20	a	a	DET
ejpam-6190	57	21	̸=	̸=	PROPN
ejpam-6190	57	22	1	1	NUM
ejpam-6190	57	23	=	=	SYM
ejpam-6190	57	24	b	b	PROPN
ejpam-6190	57	25	•	•	NUM
ejpam-6190	57	26	b	b	X
ejpam-6190	57	27	=	=	SYM
ejpam-6190	57	28	(	(	PUNCT
ejpam-6190	57	29	b	b	X
ejpam-6190	57	30	•	•	NOUN
ejpam-6190	57	31	a	a	NOUN
ejpam-6190	57	32	)	)	PUNCT
ejpam-6190	57	33	•	•	NOUN
ejpam-6190	57	34	b	b	X
ejpam-6190	57	35	=	=	SYM
ejpam-6190	57	36	(	(	PUNCT
ejpam-6190	57	37	(	(	PUNCT
ejpam-6190	57	38	b	b	NOUN
ejpam-6190	57	39	∗	∗	NOUN
ejpam-6190	57	40	1	1	NUM
ejpam-6190	57	41	)	)	PUNCT
ejpam-6190	57	42	•	•	NOUN
ejpam-6190	57	43	a	a	NOUN
ejpam-6190	57	44	)	)	PUNCT
ejpam-6190	57	45	•	•	PROPN
ejpam-6190	57	46	b.	b.	PROPN
ejpam-6190	57	47	example	example	NOUN
ejpam-6190	58	1	3	3	X
ejpam-6190	58	2	.	.	PUNCT
ejpam-6190	58	3	let	let	VERB
ejpam-6190	58	4	x	x	PUNCT
ejpam-6190	58	5	=	=	PRON
ejpam-6190	58	6	{	{	PUNCT
ejpam-6190	58	7	1	1	NUM
ejpam-6190	58	8	,	,	PUNCT
ejpam-6190	58	9	a	a	DET
ejpam-6190	58	10	,	,	PUNCT
ejpam-6190	58	11	b	b	NOUN
ejpam-6190	58	12	}	}	PUNCT
ejpam-6190	58	13	.	.	PUNCT
ejpam-6190	59	1	define	define	VERB
ejpam-6190	59	2	the	the	DET
ejpam-6190	59	3	binary	binary	ADJ
ejpam-6190	59	4	operations	operation	NOUN
ejpam-6190	59	5	“	"	PUNCT
ejpam-6190	59	6	•	•	NOUN
ejpam-6190	59	7	”	"	PUNCT
ejpam-6190	59	8	and	and	CCONJ
ejpam-6190	59	9	“	"	PUNCT
ejpam-6190	59	10	∗	∗	NOUN
ejpam-6190	59	11	”	"	PUNCT
ejpam-6190	59	12	on	on	ADP
ejpam-6190	59	13	x	x	PUNCT
ejpam-6190	59	14	by	by	ADP
ejpam-6190	59	15	the	the	DET
ejpam-6190	59	16	following	following	ADJ
ejpam-6190	59	17	cayley	cayley	ADJ
ejpam-6190	59	18	tables	table	NOUN
ejpam-6190	59	19	:	:	PUNCT
ejpam-6190	59	20	•	•	NUM
ejpam-6190	59	21	1	1	NUM
ejpam-6190	59	22	a	a	DET
ejpam-6190	59	23	b	b	NUM
ejpam-6190	59	24	1	1	NUM
ejpam-6190	59	25	1	1	NUM
ejpam-6190	59	26	1	1	NUM
ejpam-6190	59	27	1	1	NUM
ejpam-6190	59	28	a	a	DET
ejpam-6190	59	29	1	1	NUM
ejpam-6190	59	30	1	1	NUM
ejpam-6190	59	31	1	1	NUM
ejpam-6190	59	32	b	b	SYM
ejpam-6190	59	33	1	1	NUM
ejpam-6190	59	34	1	1	NUM
ejpam-6190	59	35	1	1	NUM
ejpam-6190	59	36	∗	∗	NOUN
ejpam-6190	59	37	1	1	NUM
ejpam-6190	59	38	a	a	DET
ejpam-6190	59	39	b	b	NUM
ejpam-6190	59	40	1	1	NUM
ejpam-6190	59	41	1	1	NUM
ejpam-6190	59	42	1	1	NUM
ejpam-6190	59	43	1	1	NUM
ejpam-6190	59	44	a	a	DET
ejpam-6190	59	45	1	1	NUM
ejpam-6190	59	46	1	1	NUM
ejpam-6190	59	47	a	a	DET
ejpam-6190	59	48	b	b	NOUN
ejpam-6190	59	49	1	1	NUM
ejpam-6190	59	50	a	a	DET
ejpam-6190	59	51	1	1	NUM
ejpam-6190	59	52	then	then	ADV
ejpam-6190	59	53	the	the	DET
ejpam-6190	59	54	axioms	axiom	NOUN
ejpam-6190	59	55	(	(	PUNCT
ejpam-6190	59	56	pdb1	pdb1	NOUN
ejpam-6190	59	57	)	)	PUNCT
ejpam-6190	59	58	and	and	CCONJ
ejpam-6190	59	59	(	(	PUNCT
ejpam-6190	59	60	pdb3	pdb3	NOUN
ejpam-6190	59	61	)	)	PUNCT
ejpam-6190	59	62	hold	hold	VERB
ejpam-6190	59	63	.	.	PUNCT
ejpam-6190	60	1	however	however	ADV
ejpam-6190	60	2	,	,	PUNCT
ejpam-6190	60	3	axiom	axiom	NOUN
ejpam-6190	60	4	(	(	PUNCT
ejpam-6190	60	5	pdb2	pdb2	NOUN
ejpam-6190	60	6	)	)	PUNCT
ejpam-6190	60	7	fails	fail	VERB
ejpam-6190	60	8	since	since	SCONJ
ejpam-6190	60	9	1	1	NUM
ejpam-6190	60	10	•	•	NOUN
ejpam-6190	60	11	a	a	DET
ejpam-6190	60	12	=	=	NOUN
ejpam-6190	60	13	1	1	NUM
ejpam-6190	60	14	̸=	̸=	PROPN
ejpam-6190	60	15	a.	a.	NOUN
ejpam-6190	60	16	example	example	NOUN
ejpam-6190	60	17	4	4	NUM
ejpam-6190	60	18	.	.	PUNCT
ejpam-6190	61	1	let	let	VERB
ejpam-6190	61	2	x	x	PUNCT
ejpam-6190	61	3	=	=	PRON
ejpam-6190	61	4	{	{	PUNCT
ejpam-6190	61	5	1	1	NUM
ejpam-6190	61	6	,	,	PUNCT
ejpam-6190	61	7	a	a	PRON
ejpam-6190	61	8	}	}	PUNCT
ejpam-6190	61	9	.	.	PUNCT
ejpam-6190	62	1	define	define	VERB
ejpam-6190	62	2	the	the	DET
ejpam-6190	62	3	binary	binary	ADJ
ejpam-6190	62	4	operations	operation	NOUN
ejpam-6190	62	5	“	"	PUNCT
ejpam-6190	62	6	•	•	NOUN
ejpam-6190	62	7	”	"	PUNCT
ejpam-6190	62	8	and	and	CCONJ
ejpam-6190	62	9	“	"	PUNCT
ejpam-6190	62	10	∗	∗	NOUN
ejpam-6190	62	11	”	"	PUNCT
ejpam-6190	62	12	on	on	ADP
ejpam-6190	62	13	x	x	PUNCT
ejpam-6190	62	14	by	by	ADP
ejpam-6190	62	15	x•y	x•y	PROPN
ejpam-6190	63	1	=	=	PUNCT
ejpam-6190	63	2	y	y	PROPN
ejpam-6190	63	3	and	and	CCONJ
ejpam-6190	63	4	x	x	PROPN
ejpam-6190	63	5	∗	∗	NOUN
ejpam-6190	63	6	y	y	NOUN
ejpam-6190	63	7	=	=	SYM
ejpam-6190	63	8	y	y	PROPN
ejpam-6190	63	9	for	for	ADP
ejpam-6190	63	10	all	all	DET
ejpam-6190	63	11	x	x	NOUN
ejpam-6190	63	12	,	,	PUNCT
ejpam-6190	63	13	y	y	PROPN
ejpam-6190	63	14	∈	∈	PROPN
ejpam-6190	63	15	x.	x.	NOUN
ejpam-6190	64	1	then	then	ADV
ejpam-6190	64	2	the	the	DET
ejpam-6190	64	3	axioms	axiom	NOUN
ejpam-6190	64	4	(	(	PUNCT
ejpam-6190	64	5	pdb2	pdb2	NOUN
ejpam-6190	64	6	)	)	PUNCT
ejpam-6190	64	7	and	and	CCONJ
ejpam-6190	64	8	(	(	PUNCT
ejpam-6190	64	9	pdb3	pdb3	NOUN
ejpam-6190	64	10	)	)	PUNCT
ejpam-6190	64	11	hold	hold	VERB
ejpam-6190	64	12	.	.	PUNCT
ejpam-6190	65	1	however	however	ADV
ejpam-6190	65	2	,	,	PUNCT
ejpam-6190	65	3	axiom	axiom	NOUN
ejpam-6190	65	4	(	(	PUNCT
ejpam-6190	65	5	pdb1	pdb1	NOUN
ejpam-6190	65	6	)	)	PUNCT
ejpam-6190	65	7	fails	fail	VERB
ejpam-6190	65	8	since	since	SCONJ
ejpam-6190	65	9	a	a	DET
ejpam-6190	65	10	•	•	NOUN
ejpam-6190	65	11	a	a	DET
ejpam-6190	65	12	=	=	NOUN
ejpam-6190	65	13	a	a	DET
ejpam-6190	65	14	̸=	̸=	PROPN
ejpam-6190	65	15	1	1	NUM
ejpam-6190	65	16	.	.	PUNCT
ejpam-6190	65	17	remark	remark	NOUN
ejpam-6190	65	18	1	1	NUM
ejpam-6190	65	19	.	.	PUNCT
ejpam-6190	66	1	in	in	ADP
ejpam-6190	66	2	any	any	DET
ejpam-6190	66	3	pseudo	pseudo	NOUN
ejpam-6190	66	4	-	-	ADJ
ejpam-6190	66	5	db	db	NOUN
ejpam-6190	66	6	-	-	PUNCT
ejpam-6190	66	7	algebra	algebra	NOUN
ejpam-6190	66	8	x	x	NOUN
ejpam-6190	66	9	,	,	PUNCT
ejpam-6190	66	10	if	if	SCONJ
ejpam-6190	66	11	x	x	X
ejpam-6190	66	12	•	•	NUM
ejpam-6190	66	13	y	y	NOUN
ejpam-6190	66	14	=	=	PUNCT
ejpam-6190	66	15	x	x	PROPN
ejpam-6190	66	16	∗	∗	X
ejpam-6190	66	17	y	y	PROPN
ejpam-6190	66	18	for	for	ADP
ejpam-6190	66	19	all	all	DET
ejpam-6190	66	20	x	x	NOUN
ejpam-6190	66	21	,	,	PUNCT
ejpam-6190	66	22	y	y	PROPN
ejpam-6190	66	23	in	in	ADP
ejpam-6190	66	24	x	x	NOUN
ejpam-6190	66	25	,	,	PUNCT
ejpam-6190	66	26	then	then	ADV
ejpam-6190	66	27	x	x	PUNCT
ejpam-6190	66	28	is	be	AUX
ejpam-6190	66	29	a	a	DET
ejpam-6190	66	30	db	db	NOUN
ejpam-6190	66	31	-	-	PUNCT
ejpam-6190	66	32	algebra	algebra	NOUN
ejpam-6190	66	33	.	.	PUNCT
ejpam-6190	67	1	remark	remark	NOUN
ejpam-6190	67	2	2	2	NUM
ejpam-6190	67	3	.	.	PUNCT
ejpam-6190	68	1	any	any	DET
ejpam-6190	68	2	two	two	NUM
ejpam-6190	68	3	db	db	NOUN
ejpam-6190	68	4	-	-	PUNCT
ejpam-6190	68	5	algebras	algebra	NOUN
ejpam-6190	68	6	do	do	AUX
ejpam-6190	68	7	not	not	PART
ejpam-6190	68	8	necessarily	necessarily	ADV
ejpam-6190	68	9	construct	construct	VERB
ejpam-6190	68	10	a	a	DET
ejpam-6190	68	11	pseudo	pseudo	NOUN
ejpam-6190	68	12	-	-	ADJ
ejpam-6190	68	13	db	db	NOUN
ejpam-6190	68	14	-	-	PUNCT
ejpam-6190	68	15	algebra	algebra	NOUN
ejpam-6190	68	16	.	.	PUNCT
ejpam-6190	69	1	this	this	PRON
ejpam-6190	69	2	is	be	AUX
ejpam-6190	69	3	illustrated	illustrate	VERB
ejpam-6190	69	4	in	in	ADP
ejpam-6190	69	5	the	the	DET
ejpam-6190	69	6	next	next	ADJ
ejpam-6190	69	7	example	example	NOUN
ejpam-6190	69	8	.	.	PUNCT
ejpam-6190	70	1	j.	j.	PROPN
ejpam-6190	70	2	m.	m.	PROPN
ejpam-6190	70	3	s.	s.	PROPN
ejpam-6190	70	4	leuveras	leuveras	PROPN
ejpam-6190	70	5	,	,	PUNCT
ejpam-6190	70	6	k.	k.	PROPN
ejpam-6190	70	7	b.	b.	PROPN
ejpam-6190	70	8	fuentes	fuentes	PROPN
ejpam-6190	70	9	/	/	SYM
ejpam-6190	70	10	eur	eur	PROPN
ejpam-6190	70	11	.	.	PUNCT
ejpam-6190	71	1	j.	j.	PROPN
ejpam-6190	71	2	pure	pure	PROPN
ejpam-6190	71	3	appl	appl	PROPN
ejpam-6190	71	4	.	.	PROPN
ejpam-6190	71	5	math	math	PROPN
ejpam-6190	71	6	,	,	PUNCT
ejpam-6190	71	7	18	18	NUM
ejpam-6190	71	8	(	(	PUNCT
ejpam-6190	71	9	4	4	NUM
ejpam-6190	71	10	)	)	PUNCT
ejpam-6190	71	11	(	(	PUNCT
ejpam-6190	71	12	2025	2025	NUM
ejpam-6190	71	13	)	)	PUNCT
ejpam-6190	71	14	,	,	PUNCT
ejpam-6190	71	15	6190	6190	NUM
ejpam-6190	71	16	4	4	NUM
ejpam-6190	71	17	of	of	ADP
ejpam-6190	71	18	12	12	NUM
ejpam-6190	71	19	example	example	NOUN
ejpam-6190	71	20	5	5	NUM
ejpam-6190	71	21	.	.	PUNCT
ejpam-6190	72	1	let	let	VERB
ejpam-6190	72	2	x	x	PUNCT
ejpam-6190	72	3	=	=	PRON
ejpam-6190	72	4	{	{	PUNCT
ejpam-6190	72	5	1	1	NUM
ejpam-6190	72	6	,	,	PUNCT
ejpam-6190	72	7	a	a	DET
ejpam-6190	72	8	,	,	PUNCT
ejpam-6190	72	9	b	b	NOUN
ejpam-6190	72	10	,	,	PUNCT
ejpam-6190	72	11	c	c	NOUN
ejpam-6190	72	12	}	}	PUNCT
ejpam-6190	72	13	.	.	PUNCT
ejpam-6190	73	1	define	define	VERB
ejpam-6190	73	2	the	the	DET
ejpam-6190	73	3	binary	binary	ADJ
ejpam-6190	73	4	operations	operation	NOUN
ejpam-6190	73	5	“	"	PUNCT
ejpam-6190	73	6	•	•	NOUN
ejpam-6190	73	7	”	"	PUNCT
ejpam-6190	73	8	and	and	CCONJ
ejpam-6190	73	9	“	"	PUNCT
ejpam-6190	73	10	∗	∗	NOUN
ejpam-6190	73	11	”	"	PUNCT
ejpam-6190	73	12	on	on	ADP
ejpam-6190	73	13	x	x	PUNCT
ejpam-6190	73	14	by	by	ADP
ejpam-6190	73	15	the	the	DET
ejpam-6190	73	16	following	following	ADJ
ejpam-6190	73	17	cayley	cayley	ADJ
ejpam-6190	73	18	tables	table	NOUN
ejpam-6190	73	19	:	:	PUNCT
ejpam-6190	73	20	•	•	NUM
ejpam-6190	73	21	1	1	NUM
ejpam-6190	73	22	a	a	DET
ejpam-6190	73	23	b	b	NOUN
ejpam-6190	73	24	c	c	NOUN
ejpam-6190	73	25	1	1	NUM
ejpam-6190	73	26	1	1	NUM
ejpam-6190	73	27	a	a	DET
ejpam-6190	73	28	b	b	NOUN
ejpam-6190	73	29	c	c	ADP
ejpam-6190	73	30	a	a	DET
ejpam-6190	73	31	a	a	DET
ejpam-6190	73	32	1	1	NUM
ejpam-6190	73	33	c	c	NOUN
ejpam-6190	73	34	b	b	PROPN
ejpam-6190	73	35	b	b	PROPN
ejpam-6190	73	36	b	b	PROPN
ejpam-6190	73	37	c	c	PROPN
ejpam-6190	73	38	1	1	NUM
ejpam-6190	73	39	a	a	DET
ejpam-6190	73	40	c	c	NOUN
ejpam-6190	73	41	c	c	NOUN
ejpam-6190	73	42	b	b	PROPN
ejpam-6190	73	43	a	a	DET
ejpam-6190	73	44	1	1	NUM
ejpam-6190	73	45	∗	∗	NOUN
ejpam-6190	73	46	1	1	NUM
ejpam-6190	73	47	a	a	DET
ejpam-6190	73	48	b	b	NOUN
ejpam-6190	73	49	c	c	NOUN
ejpam-6190	73	50	1	1	NUM
ejpam-6190	73	51	1	1	NUM
ejpam-6190	73	52	a	a	DET
ejpam-6190	73	53	b	b	NOUN
ejpam-6190	73	54	c	c	NOUN
ejpam-6190	73	55	a	a	DET
ejpam-6190	73	56	c	c	NOUN
ejpam-6190	73	57	1	1	NUM
ejpam-6190	73	58	a	a	DET
ejpam-6190	73	59	b	b	PROPN
ejpam-6190	73	60	b	b	PROPN
ejpam-6190	73	61	b	b	PROPN
ejpam-6190	73	62	c	c	PROPN
ejpam-6190	73	63	1	1	NUM
ejpam-6190	73	64	a	a	DET
ejpam-6190	73	65	c	c	NOUN
ejpam-6190	74	1	a	a	DET
ejpam-6190	74	2	b	b	NOUN
ejpam-6190	74	3	c	c	NOUN
ejpam-6190	74	4	1	1	NUM
ejpam-6190	74	5	then	then	ADV
ejpam-6190	74	6	(	(	PUNCT
ejpam-6190	74	7	x	x	NOUN
ejpam-6190	74	8	,	,	PUNCT
ejpam-6190	74	9	•	•	NUM
ejpam-6190	74	10	,	,	PUNCT
ejpam-6190	74	11	1	1	NUM
ejpam-6190	74	12	)	)	PUNCT
ejpam-6190	74	13	and	and	CCONJ
ejpam-6190	74	14	(	(	PUNCT
ejpam-6190	74	15	x	x	X
ejpam-6190	74	16	,	,	PUNCT
ejpam-6190	74	17	∗	∗	NOUN
ejpam-6190	74	18	,	,	PUNCT
ejpam-6190	74	19	1	1	NUM
ejpam-6190	74	20	)	)	PUNCT
ejpam-6190	74	21	are	be	AUX
ejpam-6190	74	22	db	db	NOUN
ejpam-6190	74	23	-	-	PUNCT
ejpam-6190	74	24	algebras	algebras	NOUN
ejpam-6190	74	25	by	by	ADP
ejpam-6190	74	26	[	[	PUNCT
ejpam-6190	74	27	9	9	NUM
ejpam-6190	74	28	]	]	PUNCT
ejpam-6190	74	29	and	and	CCONJ
ejpam-6190	75	1	[	[	X
ejpam-6190	75	2	11	11	NUM
ejpam-6190	75	3	]	]	PUNCT
ejpam-6190	75	4	,	,	PUNCT
ejpam-6190	75	5	respectively	respectively	ADV
ejpam-6190	75	6	.	.	PUNCT
ejpam-6190	76	1	since	since	SCONJ
ejpam-6190	76	2	a•	a•	PROPN
ejpam-6190	76	3	(	(	PUNCT
ejpam-6190	76	4	a∗c	a∗c	PROPN
ejpam-6190	76	5	)	)	PUNCT
ejpam-6190	76	6	=	=	SYM
ejpam-6190	76	7	a	a	DET
ejpam-6190	76	8	•	•	NUM
ejpam-6190	76	9	b	b	X
ejpam-6190	76	10	=	=	SYM
ejpam-6190	76	11	c	c	PROPN
ejpam-6190	76	12	̸=	̸=	PROPN
ejpam-6190	76	13	a	a	DET
ejpam-6190	76	14	=	=	SYM
ejpam-6190	76	15	b	b	PROPN
ejpam-6190	76	16	•	•	NUM
ejpam-6190	76	17	c	c	NOUN
ejpam-6190	76	18	=	=	SYM
ejpam-6190	76	19	(	(	PUNCT
ejpam-6190	76	20	c	c	NOUN
ejpam-6190	76	21	•	•	NUM
ejpam-6190	76	22	a	a	NOUN
ejpam-6190	76	23	)	)	PUNCT
ejpam-6190	76	24	•	•	NOUN
ejpam-6190	76	25	c	c	NOUN
ejpam-6190	76	26	=	=	SYM
ejpam-6190	76	27	(	(	PUNCT
ejpam-6190	76	28	(	(	PUNCT
ejpam-6190	76	29	a	a	DET
ejpam-6190	76	30	∗	∗	NOUN
ejpam-6190	76	31	1	1	NUM
ejpam-6190	76	32	)	)	PUNCT
ejpam-6190	76	33	•	•	NOUN
ejpam-6190	76	34	a	a	NOUN
ejpam-6190	76	35	)	)	PUNCT
ejpam-6190	76	36	•	•	ADP
ejpam-6190	76	37	c	c	NOUN
ejpam-6190	76	38	,	,	PUNCT
ejpam-6190	76	39	(	(	PUNCT
ejpam-6190	76	40	x•	x•	NOUN
ejpam-6190	76	41	,	,	PUNCT
ejpam-6190	76	42	∗	∗	NOUN
ejpam-6190	76	43	,	,	PUNCT
ejpam-6190	76	44	1	1	NUM
ejpam-6190	76	45	)	)	PUNCT
ejpam-6190	76	46	is	be	AUX
ejpam-6190	76	47	not	not	PART
ejpam-6190	76	48	a	a	DET
ejpam-6190	76	49	pseudo	pseudo	NOUN
ejpam-6190	76	50	-	-	ADJ
ejpam-6190	76	51	db	db	NOUN
ejpam-6190	76	52	-	-	PUNCT
ejpam-6190	76	53	algebra	algebra	NOUN
ejpam-6190	76	54	.	.	PUNCT
ejpam-6190	77	1	the	the	DET
ejpam-6190	77	2	following	follow	VERB
ejpam-6190	77	3	lemma	lemma	PROPN
ejpam-6190	77	4	provides	provide	VERB
ejpam-6190	77	5	some	some	DET
ejpam-6190	77	6	properties	property	NOUN
ejpam-6190	77	7	of	of	ADP
ejpam-6190	77	8	a	a	DET
ejpam-6190	77	9	pseudo	pseudo	NOUN
ejpam-6190	77	10	-	-	ADJ
ejpam-6190	77	11	db	db	NOUN
ejpam-6190	77	12	-	-	PUNCT
ejpam-6190	77	13	algebra	algebra	NOUN
ejpam-6190	77	14	.	.	PUNCT
ejpam-6190	78	1	lemma	lemma	PROPN
ejpam-6190	78	2	1	1	NUM
ejpam-6190	78	3	.	.	PUNCT
ejpam-6190	79	1	in	in	ADP
ejpam-6190	79	2	a	a	DET
ejpam-6190	79	3	pseudo	pseudo	NOUN
ejpam-6190	79	4	-	-	ADJ
ejpam-6190	79	5	db	db	NOUN
ejpam-6190	79	6	-	-	PUNCT
ejpam-6190	79	7	algebra	algebra	NOUN
ejpam-6190	79	8	x	x	NOUN
ejpam-6190	79	9	,	,	PUNCT
ejpam-6190	79	10	the	the	DET
ejpam-6190	79	11	following	follow	VERB
ejpam-6190	79	12	properties	property	NOUN
ejpam-6190	79	13	hold	hold	VERB
ejpam-6190	79	14	for	for	ADP
ejpam-6190	79	15	any	any	DET
ejpam-6190	79	16	x	x	NOUN
ejpam-6190	79	17	,	,	PUNCT
ejpam-6190	79	18	y	y	PROPN
ejpam-6190	79	19	,	,	PUNCT
ejpam-6190	79	20	z	z	VERB
ejpam-6190	79	21	in	in	ADP
ejpam-6190	79	22	x	x	NOUN
ejpam-6190	79	23	:	:	PUNCT
ejpam-6190	79	24	(	(	PUNCT
ejpam-6190	79	25	i	i	NOUN
ejpam-6190	79	26	)	)	PUNCT
ejpam-6190	79	27	if	if	SCONJ
ejpam-6190	79	28	1	1	NUM
ejpam-6190	79	29	≤	≤	NUM
ejpam-6190	79	30	x	x	NOUN
ejpam-6190	79	31	,	,	PUNCT
ejpam-6190	79	32	then	then	ADV
ejpam-6190	79	33	x	x	NOUN
ejpam-6190	79	34	=	=	SYM
ejpam-6190	79	35	1	1	NUM
ejpam-6190	79	36	;	;	PUNCT
ejpam-6190	79	37	(	(	PUNCT
ejpam-6190	79	38	ii	ii	NOUN
ejpam-6190	79	39	)	)	PUNCT
ejpam-6190	79	40	x	x	SYM
ejpam-6190	79	41	•	•	NUM
ejpam-6190	79	42	1	1	NUM
ejpam-6190	79	43	=	=	SYM
ejpam-6190	79	44	1	1	NUM
ejpam-6190	79	45	if	if	SCONJ
ejpam-6190	79	46	and	and	CCONJ
ejpam-6190	79	47	only	only	ADV
ejpam-6190	79	48	if	if	SCONJ
ejpam-6190	79	49	x	x	PROPN
ejpam-6190	79	50	∗	∗	NOUN
ejpam-6190	79	51	1	1	NUM
ejpam-6190	79	52	=	=	SYM
ejpam-6190	79	53	1	1	NUM
ejpam-6190	79	54	;	;	PUNCT
ejpam-6190	79	55	(	(	PUNCT
ejpam-6190	79	56	iii	iii	X
ejpam-6190	79	57	)	)	PUNCT
ejpam-6190	79	58	(	(	PUNCT
ejpam-6190	79	59	x	x	SYM
ejpam-6190	79	60	•	•	NUM
ejpam-6190	79	61	1	1	NUM
ejpam-6190	79	62	)	)	PUNCT
ejpam-6190	79	63	∗	∗	NOUN
ejpam-6190	79	64	(	(	PUNCT
ejpam-6190	79	65	x	x	SYM
ejpam-6190	79	66	•	•	NUM
ejpam-6190	79	67	y	y	NOUN
ejpam-6190	79	68	)	)	PUNCT
ejpam-6190	80	1	=	=	SYM
ejpam-6190	80	2	y	y	PROPN
ejpam-6190	80	3	and	and	CCONJ
ejpam-6190	80	4	(	(	PUNCT
ejpam-6190	80	5	x	x	NOUN
ejpam-6190	80	6	∗	∗	NOUN
ejpam-6190	80	7	1	1	NUM
ejpam-6190	80	8	)	)	PUNCT
ejpam-6190	80	9	•	•	NOUN
ejpam-6190	80	10	(	(	PUNCT
ejpam-6190	80	11	x	x	X
ejpam-6190	80	12	∗	∗	NOUN
ejpam-6190	80	13	y	y	NOUN
ejpam-6190	80	14	)	)	PUNCT
ejpam-6190	81	1	=	=	SYM
ejpam-6190	81	2	y	y	PROPN
ejpam-6190	81	3	;	;	PUNCT
ejpam-6190	81	4	(	(	PUNCT
ejpam-6190	81	5	iv	iv	X
ejpam-6190	81	6	)	)	PUNCT
ejpam-6190	81	7	(	(	PUNCT
ejpam-6190	81	8	x	x	X
ejpam-6190	81	9	•	•	NUM
ejpam-6190	81	10	y	y	NOUN
ejpam-6190	81	11	)	)	PUNCT
ejpam-6190	81	12	∗	∗	NOUN
ejpam-6190	81	13	1	1	NUM
ejpam-6190	81	14	=	=	SYM
ejpam-6190	81	15	y	y	NOUN
ejpam-6190	81	16	∗	∗	NOUN
ejpam-6190	81	17	x	x	PUNCT
ejpam-6190	81	18	and	and	CCONJ
ejpam-6190	81	19	(	(	PUNCT
ejpam-6190	81	20	x	x	PROPN
ejpam-6190	81	21	∗	∗	PROPN
ejpam-6190	81	22	y	y	NOUN
ejpam-6190	81	23	)	)	PUNCT
ejpam-6190	81	24	•	•	ADV
ejpam-6190	82	1	1	1	NUM
ejpam-6190	82	2	=	=	SYM
ejpam-6190	82	3	y	y	PROPN
ejpam-6190	82	4	•	•	NUM
ejpam-6190	82	5	x	x	ADP
ejpam-6190	82	6	;	;	PUNCT
ejpam-6190	82	7	(	(	PUNCT
ejpam-6190	82	8	v	v	NOUN
ejpam-6190	82	9	)	)	PUNCT
ejpam-6190	82	10	if	if	SCONJ
ejpam-6190	82	11	z	z	NOUN
ejpam-6190	82	12	•	•	VERB
ejpam-6190	82	13	x	x	X
ejpam-6190	82	14	=	=	PUNCT
ejpam-6190	82	15	z	z	NOUN
ejpam-6190	82	16	•	•	NUM
ejpam-6190	82	17	y	y	PROPN
ejpam-6190	82	18	(	(	PUNCT
ejpam-6190	82	19	or	or	CCONJ
ejpam-6190	82	20	z	z	NOUN
ejpam-6190	82	21	∗	∗	NOUN
ejpam-6190	82	22	x	x	X
ejpam-6190	83	1	=	=	PUNCT
ejpam-6190	83	2	z	z	NOUN
ejpam-6190	83	3	∗	∗	NOUN
ejpam-6190	83	4	y	y	PROPN
ejpam-6190	83	5	)	)	PUNCT
ejpam-6190	83	6	,	,	PUNCT
ejpam-6190	83	7	then	then	ADV
ejpam-6190	83	8	x	x	X
ejpam-6190	83	9	=	=	SYM
ejpam-6190	83	10	y	y	PROPN
ejpam-6190	83	11	;	;	PUNCT
ejpam-6190	83	12	(	(	PUNCT
ejpam-6190	83	13	vi	vi	NOUN
ejpam-6190	83	14	)	)	PUNCT
ejpam-6190	83	15	if	if	SCONJ
ejpam-6190	83	16	x	x	X
ejpam-6190	83	17	•	•	NUM
ejpam-6190	83	18	y	y	NOUN
ejpam-6190	83	19	=	=	SYM
ejpam-6190	83	20	1	1	NUM
ejpam-6190	83	21	(	(	PUNCT
ejpam-6190	83	22	or	or	CCONJ
ejpam-6190	83	23	x	x	NOUN
ejpam-6190	83	24	∗	∗	NOUN
ejpam-6190	83	25	y	y	NOUN
ejpam-6190	83	26	=	=	SYM
ejpam-6190	83	27	1	1	NUM
ejpam-6190	83	28	)	)	PUNCT
ejpam-6190	83	29	,	,	PUNCT
ejpam-6190	83	30	then	then	ADV
ejpam-6190	83	31	x	x	X
ejpam-6190	83	32	=	=	SYM
ejpam-6190	83	33	y	y	PROPN
ejpam-6190	83	34	;	;	PUNCT
ejpam-6190	83	35	(	(	PUNCT
ejpam-6190	83	36	vii	vii	PROPN
ejpam-6190	83	37	)	)	PUNCT
ejpam-6190	83	38	if	if	SCONJ
ejpam-6190	83	39	x	x	X
ejpam-6190	83	40	•	•	NUM
ejpam-6190	83	41	y	y	NOUN
ejpam-6190	83	42	=	=	SYM
ejpam-6190	83	43	1	1	NUM
ejpam-6190	83	44	,	,	PUNCT
ejpam-6190	83	45	then	then	ADV
ejpam-6190	83	46	(	(	PUNCT
ejpam-6190	83	47	x	x	SYM
ejpam-6190	83	48	•	•	ADP
ejpam-6190	83	49	z	z	NOUN
ejpam-6190	83	50	)	)	PUNCT
ejpam-6190	83	51	∗	∗	NOUN
ejpam-6190	83	52	(	(	PUNCT
ejpam-6190	83	53	y	y	PROPN
ejpam-6190	83	54	•	•	PROPN
ejpam-6190	83	55	z	z	PROPN
ejpam-6190	83	56	)	)	PUNCT
ejpam-6190	83	57	=	=	SYM
ejpam-6190	83	58	1	1	NUM
ejpam-6190	83	59	;	;	PUNCT
ejpam-6190	83	60	(	(	PUNCT
ejpam-6190	83	61	viii	viii	NOUN
ejpam-6190	83	62	)	)	PUNCT
ejpam-6190	83	63	if	if	SCONJ
ejpam-6190	83	64	x	x	PROPN
ejpam-6190	83	65	∗	∗	VERB
ejpam-6190	83	66	y	y	NOUN
ejpam-6190	83	67	=	=	SYM
ejpam-6190	83	68	1	1	NUM
ejpam-6190	83	69	,	,	PUNCT
ejpam-6190	83	70	then	then	ADV
ejpam-6190	83	71	(	(	PUNCT
ejpam-6190	83	72	x	x	X
ejpam-6190	83	73	∗	∗	PROPN
ejpam-6190	83	74	z	z	NOUN
ejpam-6190	83	75	)	)	PUNCT
ejpam-6190	83	76	•	•	NOUN
ejpam-6190	83	77	(	(	PUNCT
ejpam-6190	83	78	y	y	PROPN
ejpam-6190	83	79	∗	∗	PROPN
ejpam-6190	83	80	z	z	NOUN
ejpam-6190	83	81	)	)	PUNCT
ejpam-6190	83	82	=	=	SYM
ejpam-6190	83	83	1	1	NUM
ejpam-6190	83	84	;	;	PUNCT
ejpam-6190	83	85	(	(	PUNCT
ejpam-6190	83	86	ix	ix	X
ejpam-6190	83	87	)	)	PUNCT
ejpam-6190	83	88	x	x	X
ejpam-6190	84	1	=	=	PUNCT
ejpam-6190	84	2	(	(	PUNCT
ejpam-6190	84	3	x	x	SYM
ejpam-6190	84	4	•	•	NUM
ejpam-6190	84	5	1	1	NUM
ejpam-6190	84	6	)	)	PUNCT
ejpam-6190	84	7	∗	∗	NOUN
ejpam-6190	84	8	1	1	NUM
ejpam-6190	84	9	and	and	CCONJ
ejpam-6190	84	10	x	x	SYM
ejpam-6190	84	11	=	=	PRON
ejpam-6190	84	12	(	(	PUNCT
ejpam-6190	84	13	x	x	NOUN
ejpam-6190	84	14	∗	∗	NOUN
ejpam-6190	84	15	1	1	NUM
ejpam-6190	84	16	)	)	PUNCT
ejpam-6190	84	17	•	•	NUM
ejpam-6190	84	18	1	1	NUM
ejpam-6190	84	19	;	;	PUNCT
ejpam-6190	84	20	and	and	CCONJ
ejpam-6190	84	21	(	(	PUNCT
ejpam-6190	84	22	x	x	X
ejpam-6190	84	23	)	)	PUNCT
ejpam-6190	84	24	if	if	SCONJ
ejpam-6190	84	25	x	x	NUM
ejpam-6190	84	26	•	•	NOUN
ejpam-6190	84	27	1	1	NUM
ejpam-6190	84	28	=	=	SYM
ejpam-6190	84	29	y	y	PROPN
ejpam-6190	84	30	•	•	NUM
ejpam-6190	84	31	1	1	NUM
ejpam-6190	84	32	(	(	PUNCT
ejpam-6190	84	33	or	or	CCONJ
ejpam-6190	84	34	x	x	NOUN
ejpam-6190	84	35	∗	∗	NOUN
ejpam-6190	84	36	1	1	NUM
ejpam-6190	84	37	=	=	SYM
ejpam-6190	84	38	y	y	PROPN
ejpam-6190	84	39	∗	∗	NOUN
ejpam-6190	84	40	1	1	NUM
ejpam-6190	84	41	)	)	PUNCT
ejpam-6190	84	42	,	,	PUNCT
ejpam-6190	84	43	then	then	ADV
ejpam-6190	84	44	x	x	X
ejpam-6190	84	45	=	=	PUNCT
ejpam-6190	84	46	y.	y.	NOUN
ejpam-6190	84	47	proof	proof	NOUN
ejpam-6190	84	48	.	.	PUNCT
ejpam-6190	85	1	let	let	VERB
ejpam-6190	85	2	x	x	PRON
ejpam-6190	85	3	be	be	AUX
ejpam-6190	85	4	a	a	DET
ejpam-6190	85	5	pseudo	pseudo	NOUN
ejpam-6190	85	6	-	-	ADJ
ejpam-6190	85	7	db	db	NOUN
ejpam-6190	85	8	-	-	PUNCT
ejpam-6190	85	9	algebra	algebra	NOUN
ejpam-6190	85	10	and	and	CCONJ
ejpam-6190	85	11	x	x	NOUN
ejpam-6190	85	12	,	,	PUNCT
ejpam-6190	85	13	y	y	PROPN
ejpam-6190	85	14	,	,	PUNCT
ejpam-6190	85	15	z	z	PROPN
ejpam-6190	85	16	∈	∈	PROPN
ejpam-6190	85	17	x.	x.	NOUN
ejpam-6190	85	18	(	(	PUNCT
ejpam-6190	85	19	i	i	NOUN
ejpam-6190	85	20	)	)	PUNCT
ejpam-6190	85	21	suppose	suppose	VERB
ejpam-6190	85	22	1	1	NUM
ejpam-6190	85	23	≤	≤	NUM
ejpam-6190	85	24	x.	x.	NOUN
ejpam-6190	85	25	then	then	ADV
ejpam-6190	85	26	1	1	NUM
ejpam-6190	85	27	•	•	NOUN
ejpam-6190	85	28	x	x	X
ejpam-6190	85	29	=	=	SYM
ejpam-6190	85	30	1	1	NUM
ejpam-6190	85	31	∗	∗	NOUN
ejpam-6190	85	32	x	x	X
ejpam-6190	86	1	=	=	NOUN
ejpam-6190	86	2	1	1	X
ejpam-6190	86	3	.	.	PUNCT
ejpam-6190	86	4	by	by	ADP
ejpam-6190	86	5	(	(	PUNCT
ejpam-6190	86	6	pdb2	pdb2	PROPN
ejpam-6190	86	7	)	)	PUNCT
ejpam-6190	86	8	,	,	PUNCT
ejpam-6190	86	9	x	x	PUNCT
ejpam-6190	86	10	=	=	SYM
ejpam-6190	86	11	1	1	NUM
ejpam-6190	86	12	•	•	NUM
ejpam-6190	86	13	x	x	X
ejpam-6190	86	14	=	=	SYM
ejpam-6190	86	15	1	1	NUM
ejpam-6190	86	16	∗	∗	NOUN
ejpam-6190	86	17	x.	x.	NOUN
ejpam-6190	86	18	hence	hence	ADV
ejpam-6190	86	19	,	,	PUNCT
ejpam-6190	86	20	x	x	PUNCT
ejpam-6190	86	21	=	=	SYM
ejpam-6190	86	22	1	1	X
ejpam-6190	86	23	.	.	PUNCT
ejpam-6190	86	24	(	(	PUNCT
ejpam-6190	86	25	ii	ii	NOUN
ejpam-6190	86	26	)	)	PUNCT
ejpam-6190	86	27	suppose	suppose	VERB
ejpam-6190	86	28	x•1	x•1	PROPN
ejpam-6190	86	29	=	=	SYM
ejpam-6190	86	30	1	1	X
ejpam-6190	86	31	.	.	PUNCT
ejpam-6190	86	32	by	by	ADP
ejpam-6190	86	33	(	(	PUNCT
ejpam-6190	86	34	pdb1	pdb1	PROPN
ejpam-6190	86	35	)	)	PUNCT
ejpam-6190	86	36	,	,	PUNCT
ejpam-6190	86	37	(	(	PUNCT
ejpam-6190	86	38	pdb3	pdb3	NOUN
ejpam-6190	86	39	)	)	PUNCT
ejpam-6190	86	40	,	,	PUNCT
ejpam-6190	86	41	and	and	CCONJ
ejpam-6190	86	42	(	(	PUNCT
ejpam-6190	86	43	pdb2	pdb2	PROPN
ejpam-6190	86	44	)	)	PUNCT
ejpam-6190	86	45	,	,	PUNCT
ejpam-6190	86	46	x∗1	x∗1	VERB
ejpam-6190	86	47	=	=	SYM
ejpam-6190	86	48	x∗(x•x	x∗(x•x	NUM
ejpam-6190	86	49	)	)	PUNCT
ejpam-6190	86	50	=	=	PUNCT
ejpam-6190	87	1	[	[	X
ejpam-6190	87	2	(	(	PUNCT
ejpam-6190	87	3	x	x	SYM
ejpam-6190	87	4	•	•	NUM
ejpam-6190	87	5	1	1	NUM
ejpam-6190	87	6	)	)	PUNCT
ejpam-6190	87	7	∗	∗	NOUN
ejpam-6190	87	8	x]∗	x]∗	PROPN
ejpam-6190	87	9	x	x	X
ejpam-6190	87	10	=	=	PUNCT
ejpam-6190	87	11	(	(	PUNCT
ejpam-6190	87	12	1∗x)∗x	1∗x)∗x	NUM
ejpam-6190	87	13	=	=	SYM
ejpam-6190	87	14	x∗x	x∗x	PUNCT
ejpam-6190	87	15	=	=	SYM
ejpam-6190	87	16	1	1	X
ejpam-6190	87	17	.	.	X
ejpam-6190	87	18	for	for	ADP
ejpam-6190	87	19	the	the	DET
ejpam-6190	87	20	converse	converse	NOUN
ejpam-6190	87	21	,	,	PUNCT
ejpam-6190	87	22	suppose	suppose	VERB
ejpam-6190	87	23	x∗1	x∗1	PROPN
ejpam-6190	87	24	=	=	PUNCT
ejpam-6190	88	1	1	1	X
ejpam-6190	88	2	.	.	PUNCT
ejpam-6190	88	3	by	by	ADP
ejpam-6190	88	4	(	(	PUNCT
ejpam-6190	88	5	pdb1	pdb1	PROPN
ejpam-6190	88	6	)	)	PUNCT
ejpam-6190	88	7	,	,	PUNCT
ejpam-6190	88	8	(	(	PUNCT
ejpam-6190	88	9	pdb3	pdb3	NOUN
ejpam-6190	88	10	)	)	PUNCT
ejpam-6190	88	11	,	,	PUNCT
ejpam-6190	88	12	and	and	CCONJ
ejpam-6190	88	13	(	(	PUNCT
ejpam-6190	88	14	pdb2	pdb2	PROPN
ejpam-6190	88	15	)	)	PUNCT
ejpam-6190	88	16	,	,	PUNCT
ejpam-6190	88	17	x	x	X
ejpam-6190	88	18	•	•	X
ejpam-6190	88	19	1	1	NUM
ejpam-6190	88	20	=	=	SYM
ejpam-6190	88	21	x	x	SYM
ejpam-6190	88	22	•	•	NOUN
ejpam-6190	88	23	(	(	PUNCT
ejpam-6190	88	24	x	x	NOUN
ejpam-6190	88	25	∗	∗	NOUN
ejpam-6190	88	26	x	x	NOUN
ejpam-6190	88	27	)	)	PUNCT
ejpam-6190	88	28	=	=	SYM
ejpam-6190	89	1	[	[	X
ejpam-6190	89	2	(	(	PUNCT
ejpam-6190	89	3	x	x	NOUN
ejpam-6190	89	4	∗	∗	NOUN
ejpam-6190	89	5	1	1	NUM
ejpam-6190	89	6	)	)	PUNCT
ejpam-6190	89	7	•	•	NOUN
ejpam-6190	89	8	x	x	X
ejpam-6190	89	9	]	]	X
ejpam-6190	89	10	•	•	NOUN
ejpam-6190	89	11	x	x	SYM
ejpam-6190	89	12	=	=	SYM
ejpam-6190	89	13	(	(	PUNCT
ejpam-6190	89	14	1	1	NUM
ejpam-6190	89	15	•	•	NUM
ejpam-6190	89	16	x	x	NOUN
ejpam-6190	89	17	)	)	PUNCT
ejpam-6190	89	18	•	•	NOUN
ejpam-6190	89	19	x	x	SYM
ejpam-6190	89	20	=	=	PUNCT
ejpam-6190	89	21	x	x	SYM
ejpam-6190	89	22	•	•	NUM
ejpam-6190	89	23	x	x	SYM
ejpam-6190	89	24	=	=	SYM
ejpam-6190	89	25	1	1	NUM
ejpam-6190	89	26	.	.	PUNCT
ejpam-6190	90	1	hence	hence	ADV
ejpam-6190	90	2	,	,	PUNCT
ejpam-6190	90	3	x	x	PUNCT
ejpam-6190	90	4	•	•	NUM
ejpam-6190	90	5	1	1	NUM
ejpam-6190	90	6	=	=	SYM
ejpam-6190	90	7	1	1	NUM
ejpam-6190	91	1	if	if	SCONJ
ejpam-6190	91	2	and	and	CCONJ
ejpam-6190	91	3	only	only	ADV
ejpam-6190	91	4	if	if	SCONJ
ejpam-6190	91	5	x	x	PROPN
ejpam-6190	91	6	∗	∗	NOUN
ejpam-6190	91	7	1	1	NUM
ejpam-6190	91	8	=	=	SYM
ejpam-6190	91	9	1	1	NUM
ejpam-6190	91	10	.	.	PUNCT
ejpam-6190	91	11	(	(	PUNCT
ejpam-6190	91	12	iii	iii	NOUN
ejpam-6190	91	13	)	)	PUNCT
ejpam-6190	91	14	by	by	ADP
ejpam-6190	91	15	(	(	PUNCT
ejpam-6190	91	16	pdb3	pdb3	NOUN
ejpam-6190	91	17	)	)	PUNCT
ejpam-6190	91	18	,	,	PUNCT
ejpam-6190	91	19	(	(	PUNCT
ejpam-6190	91	20	pdb1	pdb1	NOUN
ejpam-6190	91	21	)	)	PUNCT
ejpam-6190	91	22	,	,	PUNCT
ejpam-6190	91	23	and	and	CCONJ
ejpam-6190	91	24	(	(	PUNCT
ejpam-6190	91	25	pdb2	pdb2	PROPN
ejpam-6190	91	26	)	)	PUNCT
ejpam-6190	91	27	,	,	PUNCT
ejpam-6190	91	28	(	(	PUNCT
ejpam-6190	91	29	x	x	SYM
ejpam-6190	91	30	•	•	NUM
ejpam-6190	91	31	1	1	NUM
ejpam-6190	91	32	)	)	PUNCT
ejpam-6190	91	33	∗	∗	NOUN
ejpam-6190	91	34	(	(	PUNCT
ejpam-6190	91	35	x	x	SYM
ejpam-6190	91	36	•	•	NUM
ejpam-6190	91	37	y	y	NOUN
ejpam-6190	91	38	)	)	PUNCT
ejpam-6190	92	1	=	=	PUNCT
ejpam-6190	93	1	[	[	X
ejpam-6190	93	2	(	(	PUNCT
ejpam-6190	93	3	x	x	SYM
ejpam-6190	93	4	•	•	NUM
ejpam-6190	93	5	1	1	NUM
ejpam-6190	93	6	)	)	PUNCT
ejpam-6190	93	7	∗	∗	NOUN
ejpam-6190	93	8	(	(	PUNCT
ejpam-6190	93	9	x	x	SYM
ejpam-6190	93	10	•	•	NUM
ejpam-6190	93	11	1	1	NUM
ejpam-6190	93	12	)	)	PUNCT
ejpam-6190	93	13	]	]	PUNCT
ejpam-6190	93	14	∗	∗	NOUN
ejpam-6190	93	15	y	y	NOUN
ejpam-6190	93	16	=	=	SYM
ejpam-6190	93	17	1	1	NUM
ejpam-6190	93	18	∗	∗	NOUN
ejpam-6190	93	19	y	y	NOUN
ejpam-6190	93	20	=	=	SYM
ejpam-6190	93	21	y	y	PROPN
ejpam-6190	93	22	and	and	CCONJ
ejpam-6190	93	23	(	(	PUNCT
ejpam-6190	93	24	x	x	NOUN
ejpam-6190	93	25	∗	∗	NOUN
ejpam-6190	93	26	1	1	NUM
ejpam-6190	93	27	)	)	PUNCT
ejpam-6190	93	28	•	•	NOUN
ejpam-6190	93	29	(	(	PUNCT
ejpam-6190	93	30	x	x	X
ejpam-6190	93	31	∗	∗	NOUN
ejpam-6190	93	32	y	y	NOUN
ejpam-6190	93	33	)	)	PUNCT
ejpam-6190	93	34	=	=	PUNCT
ejpam-6190	94	1	[	[	X
ejpam-6190	94	2	(	(	PUNCT
ejpam-6190	94	3	x	x	NOUN
ejpam-6190	94	4	∗	∗	NOUN
ejpam-6190	94	5	1	1	NUM
ejpam-6190	94	6	)	)	PUNCT
ejpam-6190	94	7	•	•	NOUN
ejpam-6190	94	8	(	(	PUNCT
ejpam-6190	94	9	x	x	NOUN
ejpam-6190	94	10	∗	∗	NOUN
ejpam-6190	94	11	1	1	NUM
ejpam-6190	94	12	)	)	PUNCT
ejpam-6190	94	13	]	]	PUNCT
ejpam-6190	95	1	•	•	NUM
ejpam-6190	95	2	y	y	NOUN
ejpam-6190	95	3	=	=	SYM
ejpam-6190	95	4	1	1	NUM
ejpam-6190	95	5	•	•	NUM
ejpam-6190	95	6	y	y	PROPN
ejpam-6190	95	7	=	=	PUNCT
ejpam-6190	95	8	y.	y.	PROPN
ejpam-6190	95	9	(	(	PUNCT
ejpam-6190	95	10	iv	iv	X
ejpam-6190	95	11	)	)	PUNCT
ejpam-6190	95	12	by	by	ADP
ejpam-6190	95	13	(	(	PUNCT
ejpam-6190	95	14	pdb1	pdb1	NOUN
ejpam-6190	95	15	)	)	PUNCT
ejpam-6190	95	16	and	and	CCONJ
ejpam-6190	95	17	(	(	PUNCT
ejpam-6190	95	18	pdb3	pdb3	NOUN
ejpam-6190	95	19	)	)	PUNCT
ejpam-6190	95	20	,	,	PUNCT
ejpam-6190	95	21	and	and	CCONJ
ejpam-6190	95	22	(	(	PUNCT
ejpam-6190	95	23	iii	iii	NOUN
ejpam-6190	95	24	)	)	PUNCT
ejpam-6190	95	25	,	,	PUNCT
ejpam-6190	95	26	(	(	PUNCT
ejpam-6190	95	27	x•y)∗1	x•y)∗1	X
ejpam-6190	95	28	=	=	SYM
ejpam-6190	95	29	(	(	PUNCT
ejpam-6190	95	30	x•y)∗(x•x	x•y)∗(x•x	NUM
ejpam-6190	95	31	)	)	PUNCT
ejpam-6190	95	32	=	=	PUNCT
ejpam-6190	96	1	[	[	X
ejpam-6190	96	2	(	(	PUNCT
ejpam-6190	96	3	x	x	SYM
ejpam-6190	96	4	•	•	NUM
ejpam-6190	96	5	1	1	NUM
ejpam-6190	96	6	)	)	PUNCT
ejpam-6190	96	7	∗	∗	NOUN
ejpam-6190	96	8	(	(	PUNCT
ejpam-6190	96	9	x	x	SYM
ejpam-6190	96	10	•	•	NUM
ejpam-6190	96	11	y)]∗x	y)]∗x	PROPN
ejpam-6190	96	12	=	=	PUNCT
ejpam-6190	96	13	y	y	PROPN
ejpam-6190	96	14	∗	∗	NOUN
ejpam-6190	96	15	x	x	PUNCT
ejpam-6190	96	16	and	and	CCONJ
ejpam-6190	96	17	(	(	PUNCT
ejpam-6190	96	18	x	x	PROPN
ejpam-6190	96	19	∗	∗	PROPN
ejpam-6190	96	20	y	y	NOUN
ejpam-6190	96	21	)	)	PUNCT
ejpam-6190	96	22	•	•	ADV
ejpam-6190	96	23	1	1	NUM
ejpam-6190	96	24	=	=	SYM
ejpam-6190	96	25	(	(	PUNCT
ejpam-6190	96	26	x	x	X
ejpam-6190	96	27	∗	∗	PROPN
ejpam-6190	96	28	y	y	NOUN
ejpam-6190	96	29	)	)	PUNCT
ejpam-6190	96	30	•	•	NOUN
ejpam-6190	96	31	(	(	PUNCT
ejpam-6190	96	32	x	x	X
ejpam-6190	96	33	∗	∗	NOUN
ejpam-6190	96	34	x	x	NOUN
ejpam-6190	96	35	)	)	PUNCT
ejpam-6190	96	36	=	=	SYM
ejpam-6190	97	1	[	[	X
ejpam-6190	97	2	(	(	PUNCT
ejpam-6190	97	3	x	x	NOUN
ejpam-6190	97	4	∗	∗	NOUN
ejpam-6190	97	5	1	1	NUM
ejpam-6190	97	6	)	)	PUNCT
ejpam-6190	97	7	•	•	NOUN
ejpam-6190	97	8	(	(	PUNCT
ejpam-6190	97	9	x	x	X
ejpam-6190	97	10	∗	∗	NOUN
ejpam-6190	97	11	y	y	PROPN
ejpam-6190	97	12	)	)	PUNCT
ejpam-6190	97	13	]	]	PUNCT
ejpam-6190	98	1	•	•	NOUN
ejpam-6190	98	2	x	x	X
ejpam-6190	98	3	=	=	SYM
ejpam-6190	98	4	y	y	PROPN
ejpam-6190	98	5	•	•	NUM
ejpam-6190	98	6	x.	x.	PROPN
ejpam-6190	98	7	j.	j.	PROPN
ejpam-6190	98	8	m.	m.	PROPN
ejpam-6190	98	9	s.	s.	PROPN
ejpam-6190	98	10	leuveras	leuveras	PROPN
ejpam-6190	98	11	,	,	PUNCT
ejpam-6190	98	12	k.	k.	PROPN
ejpam-6190	98	13	b.	b.	PROPN
ejpam-6190	98	14	fuentes	fuentes	PROPN
ejpam-6190	98	15	/	/	SYM
ejpam-6190	98	16	eur	eur	PROPN
ejpam-6190	98	17	.	.	PUNCT
ejpam-6190	99	1	j.	j.	PROPN
ejpam-6190	99	2	pure	pure	PROPN
ejpam-6190	99	3	appl	appl	PROPN
ejpam-6190	99	4	.	.	PROPN
ejpam-6190	99	5	math	math	PROPN
ejpam-6190	99	6	,	,	PUNCT
ejpam-6190	99	7	18	18	NUM
ejpam-6190	99	8	(	(	PUNCT
ejpam-6190	99	9	4	4	NUM
ejpam-6190	99	10	)	)	PUNCT
ejpam-6190	99	11	(	(	PUNCT
ejpam-6190	99	12	2025	2025	NUM
ejpam-6190	99	13	)	)	PUNCT
ejpam-6190	99	14	,	,	PUNCT
ejpam-6190	99	15	6190	6190	NUM
ejpam-6190	99	16	5	5	NUM
ejpam-6190	99	17	of	of	ADP
ejpam-6190	99	18	12	12	NUM
ejpam-6190	99	19	(	(	PUNCT
ejpam-6190	99	20	v	v	NOUN
ejpam-6190	99	21	)	)	PUNCT
ejpam-6190	99	22	suppose	suppose	VERB
ejpam-6190	99	23	z	z	NOUN
ejpam-6190	99	24	•	•	NOUN
ejpam-6190	99	25	x	x	X
ejpam-6190	100	1	=	=	SYM
ejpam-6190	100	2	z	z	NOUN
ejpam-6190	100	3	•	•	NOUN
ejpam-6190	101	1	y.	y.	NOUN
ejpam-6190	101	2	then	then	ADV
ejpam-6190	101	3	(	(	PUNCT
ejpam-6190	101	4	z	z	NOUN
ejpam-6190	101	5	•	•	NUM
ejpam-6190	101	6	1	1	NUM
ejpam-6190	101	7	)	)	PUNCT
ejpam-6190	101	8	∗	∗	NOUN
ejpam-6190	101	9	(	(	PUNCT
ejpam-6190	101	10	z	z	NOUN
ejpam-6190	101	11	•	•	NUM
ejpam-6190	101	12	x	x	NOUN
ejpam-6190	101	13	)	)	PUNCT
ejpam-6190	101	14	=	=	SYM
ejpam-6190	102	1	(	(	PUNCT
ejpam-6190	102	2	z	z	NOUN
ejpam-6190	102	3	•	•	NUM
ejpam-6190	102	4	1	1	NUM
ejpam-6190	102	5	)	)	PUNCT
ejpam-6190	102	6	∗	∗	NOUN
ejpam-6190	102	7	(	(	PUNCT
ejpam-6190	102	8	z	z	NOUN
ejpam-6190	102	9	•	•	NUM
ejpam-6190	102	10	y	y	NOUN
ejpam-6190	102	11	)	)	PUNCT
ejpam-6190	102	12	implies	imply	VERB
ejpam-6190	102	13	x	x	PUNCT
ejpam-6190	102	14	=	=	SYM
ejpam-6190	102	15	y	y	PROPN
ejpam-6190	102	16	by	by	ADP
ejpam-6190	102	17	(	(	PUNCT
ejpam-6190	102	18	iii	iii	NOUN
ejpam-6190	102	19	)	)	PUNCT
ejpam-6190	102	20	.	.	PUNCT
ejpam-6190	103	1	suppose	suppose	VERB
ejpam-6190	103	2	also	also	ADV
ejpam-6190	103	3	that	that	SCONJ
ejpam-6190	103	4	z	z	NOUN
ejpam-6190	103	5	∗	∗	NOUN
ejpam-6190	103	6	x	x	PUNCT
ejpam-6190	104	1	=	=	NOUN
ejpam-6190	104	2	z	z	NOUN
ejpam-6190	104	3	∗	∗	NOUN
ejpam-6190	104	4	y.	y.	NOUN
ejpam-6190	104	5	then	then	ADV
ejpam-6190	104	6	(	(	PUNCT
ejpam-6190	104	7	z	z	NOUN
ejpam-6190	104	8	∗	∗	NOUN
ejpam-6190	104	9	1	1	NUM
ejpam-6190	104	10	)	)	PUNCT
ejpam-6190	104	11	•	•	NOUN
ejpam-6190	104	12	(	(	PUNCT
ejpam-6190	104	13	z	z	NOUN
ejpam-6190	104	14	∗	∗	NOUN
ejpam-6190	104	15	x	x	NOUN
ejpam-6190	104	16	)	)	PUNCT
ejpam-6190	104	17	=	=	SYM
ejpam-6190	105	1	(	(	PUNCT
ejpam-6190	105	2	z	z	NOUN
ejpam-6190	105	3	∗	∗	NOUN
ejpam-6190	105	4	1	1	NUM
ejpam-6190	105	5	)	)	PUNCT
ejpam-6190	105	6	•	•	NOUN
ejpam-6190	105	7	(	(	PUNCT
ejpam-6190	105	8	z	z	NOUN
ejpam-6190	105	9	∗	∗	PROPN
ejpam-6190	105	10	y	y	PROPN
ejpam-6190	105	11	)	)	PUNCT
ejpam-6190	105	12	implies	imply	VERB
ejpam-6190	105	13	x	x	PUNCT
ejpam-6190	105	14	=	=	SYM
ejpam-6190	105	15	y	y	PROPN
ejpam-6190	105	16	by	by	ADP
ejpam-6190	105	17	(	(	PUNCT
ejpam-6190	105	18	iii	iii	NOUN
ejpam-6190	105	19	)	)	PUNCT
ejpam-6190	105	20	.	.	PUNCT
ejpam-6190	106	1	(	(	PUNCT
ejpam-6190	106	2	vi	vi	X
ejpam-6190	106	3	)	)	PUNCT
ejpam-6190	106	4	suppose	suppose	VERB
ejpam-6190	106	5	x	x	SYM
ejpam-6190	107	1	•	•	NUM
ejpam-6190	107	2	y	y	NOUN
ejpam-6190	107	3	=	=	SYM
ejpam-6190	107	4	1	1	X
ejpam-6190	107	5	.	.	PUNCT
ejpam-6190	108	1	by	by	ADP
ejpam-6190	108	2	(	(	PUNCT
ejpam-6190	108	3	pdb1	pdb1	PROPN
ejpam-6190	108	4	)	)	PUNCT
ejpam-6190	108	5	,	,	PUNCT
ejpam-6190	108	6	x	x	X
ejpam-6190	108	7	•	•	NUM
ejpam-6190	108	8	y	y	NOUN
ejpam-6190	108	9	=	=	SYM
ejpam-6190	108	10	1	1	NUM
ejpam-6190	108	11	=	=	SYM
ejpam-6190	108	12	x	x	SYM
ejpam-6190	108	13	•	•	NOUN
ejpam-6190	108	14	x.	x.	NOUN
ejpam-6190	108	15	hence	hence	ADV
ejpam-6190	108	16	,	,	PUNCT
ejpam-6190	108	17	x	x	X
ejpam-6190	108	18	•	•	NUM
ejpam-6190	108	19	y	y	NOUN
ejpam-6190	108	20	=	=	PUNCT
ejpam-6190	108	21	x	x	SYM
ejpam-6190	108	22	•	•	NOUN
ejpam-6190	108	23	x	x	NOUN
ejpam-6190	108	24	implies	imply	VERB
ejpam-6190	108	25	y	y	PROPN
ejpam-6190	108	26	=	=	PUNCT
ejpam-6190	108	27	x	x	PUNCT
ejpam-6190	108	28	by	by	ADP
ejpam-6190	108	29	(	(	PUNCT
ejpam-6190	108	30	v	v	NOUN
ejpam-6190	108	31	)	)	PUNCT
ejpam-6190	108	32	.	.	PUNCT
ejpam-6190	109	1	by	by	ADP
ejpam-6190	109	2	a	a	DET
ejpam-6190	109	3	similar	similar	ADJ
ejpam-6190	109	4	way	way	NOUN
ejpam-6190	109	5	,	,	PUNCT
ejpam-6190	109	6	if	if	SCONJ
ejpam-6190	109	7	x	x	PROPN
ejpam-6190	109	8	∗	∗	VERB
ejpam-6190	109	9	y	y	NOUN
ejpam-6190	109	10	=	=	SYM
ejpam-6190	109	11	1	1	NUM
ejpam-6190	109	12	,	,	PUNCT
ejpam-6190	109	13	then	then	ADV
ejpam-6190	109	14	x	x	X
ejpam-6190	109	15	∗	∗	NOUN
ejpam-6190	109	16	y	y	NOUN
ejpam-6190	109	17	=	=	PUNCT
ejpam-6190	109	18	x	x	PROPN
ejpam-6190	109	19	∗	∗	NOUN
ejpam-6190	109	20	x	x	NOUN
ejpam-6190	109	21	,	,	PUNCT
ejpam-6190	109	22	which	which	PRON
ejpam-6190	109	23	implies	imply	VERB
ejpam-6190	109	24	y	y	PROPN
ejpam-6190	109	25	=	=	PUNCT
ejpam-6190	109	26	x.	x.	PROPN
ejpam-6190	109	27	(	(	PUNCT
ejpam-6190	109	28	vii	vii	PROPN
ejpam-6190	109	29	)	)	PUNCT
ejpam-6190	109	30	suppose	suppose	VERB
ejpam-6190	109	31	x	x	SYM
ejpam-6190	109	32	•	•	NUM
ejpam-6190	110	1	y	y	NOUN
ejpam-6190	110	2	=	=	NOUN
ejpam-6190	110	3	1	1	NUM
ejpam-6190	110	4	then	then	ADV
ejpam-6190	110	5	x	x	X
ejpam-6190	110	6	=	=	SYM
ejpam-6190	110	7	y	y	PROPN
ejpam-6190	110	8	by	by	ADP
ejpam-6190	110	9	(	(	PUNCT
ejpam-6190	110	10	vi	vi	NOUN
ejpam-6190	110	11	)	)	PUNCT
ejpam-6190	110	12	.	.	PUNCT
ejpam-6190	111	1	hence	hence	ADV
ejpam-6190	111	2	,	,	PUNCT
ejpam-6190	111	3	(	(	PUNCT
ejpam-6190	111	4	x	x	X
ejpam-6190	111	5	•	•	NUM
ejpam-6190	111	6	z	z	NOUN
ejpam-6190	111	7	)	)	PUNCT
ejpam-6190	111	8	∗	∗	NOUN
ejpam-6190	111	9	(	(	PUNCT
ejpam-6190	111	10	y	y	PROPN
ejpam-6190	111	11	•	•	PROPN
ejpam-6190	111	12	z	z	PROPN
ejpam-6190	111	13	)	)	PUNCT
ejpam-6190	111	14	=	=	SYM
ejpam-6190	112	1	(	(	PUNCT
ejpam-6190	112	2	x	x	SYM
ejpam-6190	112	3	•	•	NUM
ejpam-6190	112	4	z	z	NOUN
ejpam-6190	112	5	)	)	PUNCT
ejpam-6190	112	6	∗	∗	NOUN
ejpam-6190	112	7	(	(	PUNCT
ejpam-6190	112	8	x	x	SYM
ejpam-6190	112	9	•	•	NUM
ejpam-6190	112	10	z	z	NOUN
ejpam-6190	112	11	)	)	PUNCT
ejpam-6190	112	12	=	=	SYM
ejpam-6190	112	13	1	1	NUM
ejpam-6190	112	14	by	by	ADP
ejpam-6190	112	15	(	(	PUNCT
ejpam-6190	112	16	pdb1	pdb1	PROPN
ejpam-6190	112	17	)	)	PUNCT
ejpam-6190	112	18	.	.	PUNCT
ejpam-6190	113	1	(	(	PUNCT
ejpam-6190	113	2	viii	viii	NOUN
ejpam-6190	113	3	)	)	PUNCT
ejpam-6190	113	4	suppose	suppose	VERB
ejpam-6190	113	5	x	x	X
ejpam-6190	113	6	∗	∗	NOUN
ejpam-6190	113	7	y	y	NOUN
ejpam-6190	113	8	=	=	SYM
ejpam-6190	113	9	1	1	X
ejpam-6190	113	10	.	.	PUNCT
ejpam-6190	114	1	then	then	ADV
ejpam-6190	114	2	x	x	X
ejpam-6190	114	3	=	=	SYM
ejpam-6190	114	4	y	y	PROPN
ejpam-6190	114	5	by	by	ADP
ejpam-6190	114	6	(	(	PUNCT
ejpam-6190	114	7	vi	vi	NOUN
ejpam-6190	114	8	)	)	PUNCT
ejpam-6190	114	9	.	.	PUNCT
ejpam-6190	115	1	hence	hence	ADV
ejpam-6190	115	2	,	,	PUNCT
ejpam-6190	115	3	(	(	PUNCT
ejpam-6190	115	4	x	x	X
ejpam-6190	115	5	∗	∗	PROPN
ejpam-6190	115	6	z	z	NOUN
ejpam-6190	115	7	)	)	PUNCT
ejpam-6190	115	8	•	•	NOUN
ejpam-6190	115	9	(	(	PUNCT
ejpam-6190	115	10	y	y	PROPN
ejpam-6190	115	11	∗	∗	PROPN
ejpam-6190	115	12	z	z	NOUN
ejpam-6190	115	13	)	)	PUNCT
ejpam-6190	115	14	=	=	SYM
ejpam-6190	115	15	(	(	PUNCT
ejpam-6190	115	16	x	x	X
ejpam-6190	115	17	∗	∗	PROPN
ejpam-6190	115	18	z	z	NOUN
ejpam-6190	115	19	)	)	PUNCT
ejpam-6190	115	20	•	•	NOUN
ejpam-6190	115	21	(	(	PUNCT
ejpam-6190	115	22	x	x	X
ejpam-6190	115	23	∗	∗	NOUN
ejpam-6190	115	24	z	z	NOUN
ejpam-6190	115	25	)	)	PUNCT
ejpam-6190	115	26	=	=	SYM
ejpam-6190	115	27	1	1	NUM
ejpam-6190	115	28	by	by	ADP
ejpam-6190	115	29	(	(	PUNCT
ejpam-6190	115	30	pdb1	pdb1	PROPN
ejpam-6190	115	31	)	)	PUNCT
ejpam-6190	115	32	.	.	PUNCT
ejpam-6190	116	1	(	(	PUNCT
ejpam-6190	116	2	ix	ix	ADP
ejpam-6190	116	3	)	)	PUNCT
ejpam-6190	116	4	by	by	ADP
ejpam-6190	116	5	(	(	PUNCT
ejpam-6190	116	6	pdb1	pdb1	PROPN
ejpam-6190	116	7	)	)	PUNCT
ejpam-6190	116	8	,	,	PUNCT
ejpam-6190	116	9	(	(	PUNCT
ejpam-6190	116	10	pdb2	pdb2	NOUN
ejpam-6190	116	11	)	)	PUNCT
ejpam-6190	116	12	,	,	PUNCT
ejpam-6190	116	13	and	and	CCONJ
ejpam-6190	116	14	(	(	PUNCT
ejpam-6190	116	15	pdb3	pdb3	NOUN
ejpam-6190	116	16	)	)	PUNCT
ejpam-6190	116	17	,	,	PUNCT
ejpam-6190	116	18	1	1	X
ejpam-6190	116	19	=	=	SYM
ejpam-6190	116	20	x	x	SYM
ejpam-6190	116	21	•	•	NUM
ejpam-6190	116	22	x	x	X
ejpam-6190	116	23	=	=	SYM
ejpam-6190	116	24	1	1	NUM
ejpam-6190	116	25	∗	∗	NOUN
ejpam-6190	116	26	(	(	PUNCT
ejpam-6190	116	27	x	x	SYM
ejpam-6190	116	28	•	•	NUM
ejpam-6190	116	29	x	x	NOUN
ejpam-6190	116	30	)	)	PUNCT
ejpam-6190	116	31	=	=	SYM
ejpam-6190	117	1	[	[	X
ejpam-6190	117	2	(	(	PUNCT
ejpam-6190	117	3	x	x	SYM
ejpam-6190	117	4	•	•	NUM
ejpam-6190	117	5	1	1	NUM
ejpam-6190	117	6	)	)	PUNCT
ejpam-6190	117	7	∗	∗	NOUN
ejpam-6190	117	8	1	1	NUM
ejpam-6190	117	9	]	]	PUNCT
ejpam-6190	117	10	∗	∗	NOUN
ejpam-6190	117	11	x.	x.	NOUN
ejpam-6190	117	12	hence	hence	ADV
ejpam-6190	117	13	,	,	PUNCT
ejpam-6190	117	14	x	x	PUNCT
ejpam-6190	117	15	=	=	PRON
ejpam-6190	117	16	(	(	PUNCT
ejpam-6190	117	17	x	x	SYM
ejpam-6190	117	18	•	•	NUM
ejpam-6190	117	19	1	1	NUM
ejpam-6190	117	20	)	)	PUNCT
ejpam-6190	117	21	∗	∗	NOUN
ejpam-6190	117	22	1	1	NUM
ejpam-6190	117	23	by	by	ADP
ejpam-6190	117	24	(	(	PUNCT
ejpam-6190	117	25	vi	vi	NOUN
ejpam-6190	117	26	)	)	PUNCT
ejpam-6190	117	27	.	.	PUNCT
ejpam-6190	118	1	by	by	ADP
ejpam-6190	118	2	a	a	DET
ejpam-6190	118	3	similar	similar	ADJ
ejpam-6190	118	4	way	way	NOUN
ejpam-6190	118	5	,	,	PUNCT
ejpam-6190	118	6	1	1	NUM
ejpam-6190	118	7	=	=	SYM
ejpam-6190	118	8	x	x	SYM
ejpam-6190	118	9	∗	∗	NOUN
ejpam-6190	118	10	x	x	X
ejpam-6190	119	1	=	=	SYM
ejpam-6190	119	2	1	1	NUM
ejpam-6190	119	3	•	•	NOUN
ejpam-6190	119	4	(	(	PUNCT
ejpam-6190	119	5	x	x	NOUN
ejpam-6190	119	6	∗	∗	NOUN
ejpam-6190	119	7	x	x	NOUN
ejpam-6190	119	8	)	)	PUNCT
ejpam-6190	119	9	=	=	SYM
ejpam-6190	120	1	[	[	X
ejpam-6190	120	2	(	(	PUNCT
ejpam-6190	120	3	x	x	NOUN
ejpam-6190	120	4	∗	∗	NOUN
ejpam-6190	120	5	1	1	NUM
ejpam-6190	120	6	)	)	PUNCT
ejpam-6190	120	7	•	•	NUM
ejpam-6190	120	8	1	1	NUM
ejpam-6190	120	9	]	]	SYM
ejpam-6190	120	10	•	•	NOUN
ejpam-6190	120	11	x	x	NOUN
ejpam-6190	120	12	,	,	PUNCT
ejpam-6190	120	13	which	which	PRON
ejpam-6190	120	14	implies	imply	VERB
ejpam-6190	120	15	x	x	X
ejpam-6190	120	16	=	=	SYM
ejpam-6190	120	17	(	(	PUNCT
ejpam-6190	120	18	x	x	NOUN
ejpam-6190	120	19	∗	∗	NOUN
ejpam-6190	120	20	1	1	NUM
ejpam-6190	120	21	)	)	PUNCT
ejpam-6190	120	22	•	•	NUM
ejpam-6190	120	23	1	1	NUM
ejpam-6190	120	24	.	.	PUNCT
ejpam-6190	120	25	(	(	PUNCT
ejpam-6190	120	26	x	x	X
ejpam-6190	120	27	)	)	PUNCT
ejpam-6190	120	28	suppose	suppose	VERB
ejpam-6190	120	29	x	x	SYM
ejpam-6190	120	30	•	•	NUM
ejpam-6190	120	31	1	1	NUM
ejpam-6190	120	32	=	=	SYM
ejpam-6190	120	33	y	y	PROPN
ejpam-6190	120	34	•	•	NOUN
ejpam-6190	120	35	1	1	NUM
ejpam-6190	120	36	.	.	PUNCT
ejpam-6190	121	1	by	by	ADP
ejpam-6190	121	2	(	(	PUNCT
ejpam-6190	121	3	pdb1	pdb1	PROPN
ejpam-6190	121	4	)	)	PUNCT
ejpam-6190	121	5	,	,	PUNCT
ejpam-6190	121	6	(	(	PUNCT
ejpam-6190	121	7	pdb2),(pdb3	pdb2),(pdb3	NOUN
ejpam-6190	121	8	)	)	PUNCT
ejpam-6190	121	9	,	,	PUNCT
ejpam-6190	121	10	and	and	CCONJ
ejpam-6190	121	11	(	(	PUNCT
ejpam-6190	121	12	ix	ix	INTJ
ejpam-6190	121	13	)	)	PUNCT
ejpam-6190	121	14	we	we	PRON
ejpam-6190	121	15	have	have	VERB
ejpam-6190	121	16	1	1	NUM
ejpam-6190	121	17	=	=	SYM
ejpam-6190	121	18	x	x	SYM
ejpam-6190	121	19	•	•	NUM
ejpam-6190	121	20	x	x	SYM
ejpam-6190	121	21	=	=	SYM
ejpam-6190	121	22	1∗(x•x	1∗(x•x	NUM
ejpam-6190	121	23	)	)	PUNCT
ejpam-6190	121	24	=	=	NOUN
ejpam-6190	122	1	[	[	X
ejpam-6190	122	2	(	(	PUNCT
ejpam-6190	122	3	x	x	SYM
ejpam-6190	122	4	•	•	NUM
ejpam-6190	122	5	1	1	NUM
ejpam-6190	122	6	)	)	PUNCT
ejpam-6190	122	7	∗	∗	NOUN
ejpam-6190	122	8	1]∗x	1]∗x	NUM
ejpam-6190	122	9	=	=	SYM
ejpam-6190	123	1	[	[	X
ejpam-6190	123	2	(	(	PUNCT
ejpam-6190	123	3	y	y	NOUN
ejpam-6190	123	4	•	•	NUM
ejpam-6190	123	5	1	1	NUM
ejpam-6190	123	6	)	)	PUNCT
ejpam-6190	123	7	∗	∗	NOUN
ejpam-6190	123	8	1]∗x	1]∗x	NUM
ejpam-6190	123	9	=	=	PUNCT
ejpam-6190	123	10	y∗x	y∗x	NOUN
ejpam-6190	123	11	.	.	PUNCT
ejpam-6190	124	1	hence	hence	ADV
ejpam-6190	124	2	,	,	PUNCT
ejpam-6190	124	3	y	y	PROPN
ejpam-6190	124	4	=	=	PUNCT
ejpam-6190	124	5	x	x	PUNCT
ejpam-6190	124	6	by	by	ADP
ejpam-6190	124	7	(	(	PUNCT
ejpam-6190	124	8	vi	vi	NOUN
ejpam-6190	124	9	)	)	PUNCT
ejpam-6190	124	10	.	.	PUNCT
ejpam-6190	125	1	by	by	ADP
ejpam-6190	125	2	a	a	DET
ejpam-6190	125	3	similar	similar	ADJ
ejpam-6190	125	4	way	way	NOUN
ejpam-6190	125	5	,	,	PUNCT
ejpam-6190	125	6	if	if	SCONJ
ejpam-6190	125	7	x∗1	x∗1	ADJ
ejpam-6190	125	8	=	=	SYM
ejpam-6190	125	9	y∗1	y∗1	NOUN
ejpam-6190	125	10	,	,	PUNCT
ejpam-6190	125	11	then	then	ADV
ejpam-6190	125	12	1	1	NUM
ejpam-6190	125	13	=	=	SYM
ejpam-6190	125	14	x∗x	x∗x	NUM
ejpam-6190	125	15	=	=	SYM
ejpam-6190	125	16	1•(x∗x	1•(x∗x	NUM
ejpam-6190	125	17	)	)	PUNCT
ejpam-6190	125	18	=	=	PUNCT
ejpam-6190	126	1	[	[	X
ejpam-6190	126	2	(	(	PUNCT
ejpam-6190	126	3	x	x	NOUN
ejpam-6190	126	4	∗	∗	NOUN
ejpam-6190	126	5	1	1	NUM
ejpam-6190	126	6	)	)	PUNCT
ejpam-6190	126	7	•	•	NUM
ejpam-6190	126	8	1]•x	1]•x	NUM
ejpam-6190	126	9	=	=	PUNCT
ejpam-6190	127	1	[	[	X
ejpam-6190	127	2	(	(	PUNCT
ejpam-6190	127	3	y	y	PROPN
ejpam-6190	127	4	∗	∗	PROPN
ejpam-6190	127	5	1	1	NUM
ejpam-6190	127	6	)	)	PUNCT
ejpam-6190	127	7	•	•	NUM
ejpam-6190	127	8	1]•x	1]•x	PROPN
ejpam-6190	127	9	=	=	SYM
ejpam-6190	127	10	y•x	y•x	PROPN
ejpam-6190	127	11	,	,	PUNCT
ejpam-6190	127	12	which	which	PRON
ejpam-6190	127	13	implies	imply	VERB
ejpam-6190	127	14	y	y	PROPN
ejpam-6190	127	15	=	=	PUNCT
ejpam-6190	127	16	x.	x.	NOUN
ejpam-6190	128	1	the	the	DET
ejpam-6190	128	2	following	follow	VERB
ejpam-6190	128	3	proposition	proposition	NOUN
ejpam-6190	128	4	shows	show	VERB
ejpam-6190	128	5	that	that	SCONJ
ejpam-6190	128	6	the	the	DET
ejpam-6190	128	7	relation	relation	NOUN
ejpam-6190	128	8	“	"	PUNCT
ejpam-6190	128	9	≤	≤	X
ejpam-6190	128	10	”	"	PUNCT
ejpam-6190	128	11	on	on	ADP
ejpam-6190	128	12	a	a	DET
ejpam-6190	128	13	pseudo	pseudo	NOUN
ejpam-6190	128	14	-	-	ADJ
ejpam-6190	128	15	db	db	NOUN
ejpam-6190	128	16	-	-	PUNCT
ejpam-6190	128	17	algebra	algebra	NOUN
ejpam-6190	128	18	x	x	PUNCT
ejpam-6190	128	19	is	be	AUX
ejpam-6190	128	20	an	an	DET
ejpam-6190	128	21	equivalence	equivalence	NOUN
ejpam-6190	128	22	relation	relation	NOUN
ejpam-6190	128	23	.	.	PUNCT
ejpam-6190	129	1	proposition	proposition	NOUN
ejpam-6190	129	2	1	1	NUM
ejpam-6190	129	3	.	.	PUNCT
ejpam-6190	130	1	let	let	VERB
ejpam-6190	130	2	x	x	PRON
ejpam-6190	130	3	be	be	AUX
ejpam-6190	130	4	a	a	DET
ejpam-6190	130	5	pseudo	pseudo	NOUN
ejpam-6190	130	6	-	-	ADJ
ejpam-6190	130	7	db	db	NOUN
ejpam-6190	130	8	-	-	PUNCT
ejpam-6190	130	9	algebra	algebra	NOUN
ejpam-6190	130	10	.	.	PUNCT
ejpam-6190	131	1	then	then	ADV
ejpam-6190	131	2	the	the	DET
ejpam-6190	131	3	relation	relation	NOUN
ejpam-6190	131	4	“	"	PUNCT
ejpam-6190	131	5	≤	≤	X
ejpam-6190	131	6	”	"	PUNCT
ejpam-6190	131	7	on	on	ADP
ejpam-6190	131	8	a	a	DET
ejpam-6190	131	9	set	set	NOUN
ejpam-6190	131	10	x	x	PUNCT
ejpam-6190	131	11	is	be	AUX
ejpam-6190	131	12	an	an	DET
ejpam-6190	131	13	equivalence	equivalence	NOUN
ejpam-6190	131	14	relation	relation	NOUN
ejpam-6190	131	15	.	.	PUNCT
ejpam-6190	132	1	proof	proof	NOUN
ejpam-6190	132	2	.	.	PUNCT
ejpam-6190	133	1	let	let	VERB
ejpam-6190	133	2	x	x	PRON
ejpam-6190	133	3	be	be	AUX
ejpam-6190	133	4	a	a	DET
ejpam-6190	133	5	pseudo	pseudo	NOUN
ejpam-6190	133	6	-	-	ADJ
ejpam-6190	133	7	db	db	NOUN
ejpam-6190	133	8	-	-	PUNCT
ejpam-6190	133	9	algebra	algebra	NOUN
ejpam-6190	133	10	and	and	CCONJ
ejpam-6190	133	11	x	x	NOUN
ejpam-6190	133	12	,	,	PUNCT
ejpam-6190	133	13	y	y	PROPN
ejpam-6190	133	14	,	,	PUNCT
ejpam-6190	133	15	z	z	PROPN
ejpam-6190	133	16	∈	∈	PROPN
ejpam-6190	133	17	x.	x.	NOUN
ejpam-6190	133	18	note	note	VERB
ejpam-6190	133	19	that	that	SCONJ
ejpam-6190	133	20	x	x	NOUN
ejpam-6190	134	1	•	•	NOUN
ejpam-6190	134	2	x	x	X
ejpam-6190	134	3	=	=	SYM
ejpam-6190	134	4	x	x	SYM
ejpam-6190	134	5	∗	∗	NOUN
ejpam-6190	134	6	x	x	X
ejpam-6190	134	7	=	=	SYM
ejpam-6190	134	8	1	1	NUM
ejpam-6190	134	9	by	by	ADP
ejpam-6190	134	10	(	(	PUNCT
ejpam-6190	134	11	pdb1	pdb1	PROPN
ejpam-6190	134	12	)	)	PUNCT
ejpam-6190	134	13	.	.	PUNCT
ejpam-6190	135	1	hence	hence	ADV
ejpam-6190	135	2	,	,	PUNCT
ejpam-6190	135	3	x	x	X
ejpam-6190	135	4	≤	≤	NUM
ejpam-6190	135	5	x	x	PUNCT
ejpam-6190	135	6	and	and	CCONJ
ejpam-6190	135	7	so	so	ADV
ejpam-6190	135	8	“	"	PUNCT
ejpam-6190	135	9	≤	≤	NUM
ejpam-6190	135	10	”	"	PUNCT
ejpam-6190	135	11	is	be	AUX
ejpam-6190	135	12	reflexive	reflexive	ADJ
ejpam-6190	135	13	.	.	PUNCT
ejpam-6190	136	1	suppose	suppose	VERB
ejpam-6190	136	2	x	x	SYM
ejpam-6190	137	1	≤	≤	X
ejpam-6190	137	2	y.	y.	NOUN
ejpam-6190	137	3	then	then	ADV
ejpam-6190	137	4	x	x	X
ejpam-6190	137	5	•	•	NUM
ejpam-6190	137	6	y	y	NOUN
ejpam-6190	137	7	=	=	SYM
ejpam-6190	137	8	1	1	NUM
ejpam-6190	137	9	and	and	CCONJ
ejpam-6190	137	10	x	x	NOUN
ejpam-6190	137	11	∗	∗	NOUN
ejpam-6190	137	12	y	y	NOUN
ejpam-6190	137	13	=	=	SYM
ejpam-6190	137	14	1	1	X
ejpam-6190	137	15	.	.	PUNCT
ejpam-6190	137	16	by	by	ADP
ejpam-6190	137	17	lemma	lemma	PROPN
ejpam-6190	137	18	1(vi	1(vi	PROPN
ejpam-6190	137	19	)	)	PUNCT
ejpam-6190	137	20	,	,	PUNCT
ejpam-6190	137	21	x	x	X
ejpam-6190	137	22	=	=	PUNCT
ejpam-6190	137	23	y.	y.	PROPN
ejpam-6190	137	24	thus	thus	ADV
ejpam-6190	137	25	,	,	PUNCT
ejpam-6190	137	26	y	y	PROPN
ejpam-6190	137	27	≤	≤	PROPN
ejpam-6190	137	28	x	x	PUNCT
ejpam-6190	137	29	and	and	CCONJ
ejpam-6190	137	30	so	so	ADV
ejpam-6190	137	31	“	"	PUNCT
ejpam-6190	137	32	≤	≤	NUM
ejpam-6190	137	33	”	"	PUNCT
ejpam-6190	137	34	is	be	AUX
ejpam-6190	137	35	symmetric	symmetric	ADJ
ejpam-6190	137	36	.	.	PUNCT
ejpam-6190	138	1	moreover	moreover	ADV
ejpam-6190	138	2	,	,	PUNCT
ejpam-6190	138	3	suppose	suppose	VERB
ejpam-6190	138	4	x	x	PUNCT
ejpam-6190	138	5	≤	≤	ADJ
ejpam-6190	138	6	y	y	PROPN
ejpam-6190	138	7	and	and	CCONJ
ejpam-6190	138	8	y	y	PROPN
ejpam-6190	138	9	≤	≤	PROPN
ejpam-6190	138	10	z.	z.	PROPN
ejpam-6190	138	11	since	since	SCONJ
ejpam-6190	138	12	we	we	PRON
ejpam-6190	138	13	have	have	AUX
ejpam-6190	138	14	shown	show	VERB
ejpam-6190	138	15	that	that	SCONJ
ejpam-6190	138	16	x	x	X
ejpam-6190	138	17	≤	≤	ADJ
ejpam-6190	138	18	y	y	PROPN
ejpam-6190	138	19	implies	imply	VERB
ejpam-6190	138	20	x	x	PUNCT
ejpam-6190	138	21	=	=	SYM
ejpam-6190	138	22	y	y	PROPN
ejpam-6190	138	23	,	,	PUNCT
ejpam-6190	138	24	x	x	PUNCT
ejpam-6190	138	25	≤	≤	NUM
ejpam-6190	138	26	z.	z.	PROPN
ejpam-6190	138	27	hence	hence	ADV
ejpam-6190	138	28	,	,	PUNCT
ejpam-6190	138	29	“	"	PUNCT
ejpam-6190	138	30	≤	≤	X
ejpam-6190	138	31	”	"	PUNCT
ejpam-6190	138	32	is	be	AUX
ejpam-6190	138	33	transitive	transitive	ADJ
ejpam-6190	138	34	.	.	PUNCT
ejpam-6190	139	1	therefore	therefore	ADV
ejpam-6190	139	2	,	,	PUNCT
ejpam-6190	139	3	“	"	PUNCT
ejpam-6190	139	4	≤	≤	X
ejpam-6190	139	5	”	"	PUNCT
ejpam-6190	139	6	is	be	AUX
ejpam-6190	139	7	an	an	DET
ejpam-6190	139	8	equivalence	equivalence	NOUN
ejpam-6190	139	9	relation	relation	NOUN
ejpam-6190	139	10	.	.	PUNCT
ejpam-6190	140	1	theorem	theorem	NOUN
ejpam-6190	140	2	1	1	NUM
ejpam-6190	140	3	.	.	PUNCT
ejpam-6190	141	1	let	let	VERB
ejpam-6190	141	2	x	x	PUNCT
ejpam-6190	141	3	=	=	PUNCT
ejpam-6190	141	4	(	(	PUNCT
ejpam-6190	141	5	x	x	X
ejpam-6190	141	6	,	,	PUNCT
ejpam-6190	141	7	•	•	NUM
ejpam-6190	141	8	,	,	PUNCT
ejpam-6190	141	9	∗	∗	NOUN
ejpam-6190	141	10	,	,	PUNCT
ejpam-6190	141	11	1	1	NUM
ejpam-6190	141	12	)	)	PUNCT
ejpam-6190	141	13	be	be	AUX
ejpam-6190	141	14	any	any	DET
ejpam-6190	141	15	algebra	algebra	NOUN
ejpam-6190	141	16	of	of	ADP
ejpam-6190	141	17	type	type	NOUN
ejpam-6190	141	18	(	(	PUNCT
ejpam-6190	141	19	2	2	NUM
ejpam-6190	141	20	,	,	PUNCT
ejpam-6190	141	21	2	2	NUM
ejpam-6190	141	22	,	,	PUNCT
ejpam-6190	141	23	0	0	NUM
ejpam-6190	141	24	)	)	PUNCT
ejpam-6190	141	25	.	.	PUNCT
ejpam-6190	142	1	if	if	SCONJ
ejpam-6190	142	2	x	x	PRON
ejpam-6190	142	3	is	be	AUX
ejpam-6190	142	4	a	a	DET
ejpam-6190	142	5	pseudo	pseudo	NOUN
ejpam-6190	142	6	-	-	PUNCT
ejpam-6190	142	7	dbalgebra	dbalgebra	NOUN
ejpam-6190	142	8	,	,	PUNCT
ejpam-6190	142	9	then	then	ADV
ejpam-6190	142	10	for	for	ADP
ejpam-6190	142	11	any	any	DET
ejpam-6190	142	12	x	x	NOUN
ejpam-6190	142	13	,	,	PUNCT
ejpam-6190	142	14	y	y	PROPN
ejpam-6190	142	15	,	,	PUNCT
ejpam-6190	142	16	z	z	NOUN
ejpam-6190	142	17	in	in	ADP
ejpam-6190	142	18	x	x	PRON
ejpam-6190	142	19	,	,	PUNCT
ejpam-6190	142	20	(	(	PUNCT
ejpam-6190	142	21	i	i	NOUN
ejpam-6190	142	22	)	)	PUNCT
ejpam-6190	142	23	x	x	PUNCT
ejpam-6190	143	1	≤	≤	NUM
ejpam-6190	143	2	x	x	ADP
ejpam-6190	143	3	;	;	PUNCT
ejpam-6190	143	4	(	(	PUNCT
ejpam-6190	143	5	ii	ii	NOUN
ejpam-6190	143	6	)	)	PUNCT
ejpam-6190	143	7	x	x	X
ejpam-6190	144	1	=	=	PUNCT
ejpam-6190	144	2	(	(	PUNCT
ejpam-6190	144	3	x	x	SYM
ejpam-6190	144	4	•	•	NUM
ejpam-6190	144	5	1	1	NUM
ejpam-6190	144	6	)	)	PUNCT
ejpam-6190	144	7	∗	∗	NOUN
ejpam-6190	144	8	1	1	NUM
ejpam-6190	144	9	and	and	CCONJ
ejpam-6190	144	10	x	x	SYM
ejpam-6190	144	11	=	=	PRON
ejpam-6190	144	12	(	(	PUNCT
ejpam-6190	144	13	x	x	NOUN
ejpam-6190	144	14	∗	∗	NOUN
ejpam-6190	144	15	1	1	NUM
ejpam-6190	144	16	)	)	PUNCT
ejpam-6190	144	17	•	•	NUM
ejpam-6190	144	18	1	1	NUM
ejpam-6190	144	19	;	;	PUNCT
ejpam-6190	144	20	and	and	CCONJ
ejpam-6190	144	21	(	(	PUNCT
ejpam-6190	144	22	iii	iii	X
ejpam-6190	144	23	)	)	PUNCT
ejpam-6190	144	24	(	(	PUNCT
ejpam-6190	144	25	x	x	SYM
ejpam-6190	144	26	∗	∗	NUM
ejpam-6190	144	27	y	y	NOUN
ejpam-6190	144	28	)	)	PUNCT
ejpam-6190	144	29	•	•	NOUN
ejpam-6190	144	30	(	(	PUNCT
ejpam-6190	144	31	x	x	X
ejpam-6190	144	32	∗	∗	NOUN
ejpam-6190	144	33	z	z	NOUN
ejpam-6190	144	34	)	)	PUNCT
ejpam-6190	145	1	=	=	SYM
ejpam-6190	145	2	y	y	PROPN
ejpam-6190	145	3	•	•	NOUN
ejpam-6190	145	4	z	z	PROPN
ejpam-6190	145	5	and	and	CCONJ
ejpam-6190	145	6	(	(	PUNCT
ejpam-6190	145	7	x	x	SYM
ejpam-6190	145	8	•	•	NUM
ejpam-6190	145	9	y	y	NOUN
ejpam-6190	145	10	)	)	PUNCT
ejpam-6190	145	11	∗	∗	NOUN
ejpam-6190	145	12	(	(	PUNCT
ejpam-6190	145	13	x	x	SYM
ejpam-6190	145	14	•	•	NUM
ejpam-6190	145	15	z	z	NOUN
ejpam-6190	145	16	)	)	PUNCT
ejpam-6190	146	1	=	=	SYM
ejpam-6190	146	2	y	y	PROPN
ejpam-6190	146	3	∗	∗	NOUN
ejpam-6190	146	4	z.	z.	PROPN
ejpam-6190	146	5	proof	proof	PROPN
ejpam-6190	146	6	.	.	PUNCT
ejpam-6190	147	1	suppose	suppose	VERB
ejpam-6190	147	2	x	x	PRON
ejpam-6190	147	3	is	be	AUX
ejpam-6190	147	4	a	a	DET
ejpam-6190	147	5	pseudo	pseudo	NOUN
ejpam-6190	147	6	-	-	ADJ
ejpam-6190	147	7	db	db	NOUN
ejpam-6190	147	8	-	-	PUNCT
ejpam-6190	147	9	algebra	algebra	NOUN
ejpam-6190	147	10	and	and	CCONJ
ejpam-6190	147	11	and	and	CCONJ
ejpam-6190	147	12	x	x	NOUN
ejpam-6190	147	13	,	,	PUNCT
ejpam-6190	147	14	y	y	PROPN
ejpam-6190	147	15	,	,	PUNCT
ejpam-6190	147	16	z	z	PROPN
ejpam-6190	147	17	∈	∈	PROPN
ejpam-6190	147	18	x.	x.	NOUN
ejpam-6190	147	19	then	then	ADV
ejpam-6190	147	20	x	x	X
ejpam-6190	147	21	•	•	NOUN
ejpam-6190	147	22	x	x	SYM
ejpam-6190	147	23	=	=	SYM
ejpam-6190	147	24	1	1	NUM
ejpam-6190	147	25	and	and	CCONJ
ejpam-6190	147	26	x	x	NOUN
ejpam-6190	147	27	∗	∗	NOUN
ejpam-6190	147	28	x	x	X
ejpam-6190	147	29	=	=	SYM
ejpam-6190	147	30	1	1	NUM
ejpam-6190	147	31	by	by	ADP
ejpam-6190	147	32	(	(	PUNCT
ejpam-6190	147	33	pdb1	pdb1	PROPN
ejpam-6190	147	34	)	)	PUNCT
ejpam-6190	147	35	.	.	PUNCT
ejpam-6190	148	1	hence	hence	ADV
ejpam-6190	148	2	,	,	PUNCT
ejpam-6190	148	3	x	x	PUNCT
ejpam-6190	148	4	≤	≤	X
ejpam-6190	148	5	x.	x.	VERB
ejpam-6190	148	6	moreover	moreover	ADV
ejpam-6190	148	7	,	,	PUNCT
ejpam-6190	148	8	by	by	ADP
ejpam-6190	148	9	lemma	lemma	PROPN
ejpam-6190	148	10	1(ix	1(ix	NUM
ejpam-6190	148	11	)	)	PUNCT
ejpam-6190	148	12	,	,	PUNCT
ejpam-6190	148	13	x	x	PUNCT
ejpam-6190	148	14	=	=	PRON
ejpam-6190	148	15	(	(	PUNCT
ejpam-6190	148	16	x	x	SYM
ejpam-6190	148	17	•	•	NUM
ejpam-6190	148	18	1	1	NUM
ejpam-6190	148	19	)	)	PUNCT
ejpam-6190	148	20	∗	∗	NOUN
ejpam-6190	148	21	1	1	NUM
ejpam-6190	148	22	and	and	CCONJ
ejpam-6190	148	23	x	x	SYM
ejpam-6190	148	24	=	=	SYM
ejpam-6190	148	25	(	(	PUNCT
ejpam-6190	148	26	x∗1)•1	x∗1)•1	PROPN
ejpam-6190	148	27	.	.	PUNCT
ejpam-6190	149	1	by	by	ADP
ejpam-6190	149	2	(	(	PUNCT
ejpam-6190	149	3	pdb3	pdb3	PROPN
ejpam-6190	149	4	)	)	PUNCT
ejpam-6190	149	5	and	and	CCONJ
ejpam-6190	149	6	lemma	lemma	PROPN
ejpam-6190	149	7	1(iii	1(iii	NUM
ejpam-6190	149	8	)	)	PUNCT
ejpam-6190	149	9	,	,	PUNCT
ejpam-6190	149	10	(	(	PUNCT
ejpam-6190	149	11	x∗	x∗	PROPN
ejpam-6190	149	12	y)•	y)•	NUM
ejpam-6190	149	13	(	(	PUNCT
ejpam-6190	149	14	x∗	x∗	PROPN
ejpam-6190	149	15	z	z	X
ejpam-6190	149	16	)	)	PUNCT
ejpam-6190	149	17	=	=	PUNCT
ejpam-6190	150	1	[	[	X
ejpam-6190	150	2	(	(	PUNCT
ejpam-6190	150	3	x	x	NOUN
ejpam-6190	150	4	∗	∗	NOUN
ejpam-6190	150	5	1	1	NUM
ejpam-6190	150	6	)	)	PUNCT
ejpam-6190	150	7	•	•	NOUN
ejpam-6190	150	8	(	(	PUNCT
ejpam-6190	150	9	x	x	NOUN
ejpam-6190	150	10	∗	∗	NOUN
ejpam-6190	150	11	y)]•	y)]•	NOUN
ejpam-6190	150	12	z	z	NOUN
ejpam-6190	150	13	=	=	SYM
ejpam-6190	150	14	y	y	PROPN
ejpam-6190	150	15	•	•	NOUN
ejpam-6190	150	16	z	z	PROPN
ejpam-6190	150	17	and	and	CCONJ
ejpam-6190	150	18	(	(	PUNCT
ejpam-6190	150	19	x	x	SYM
ejpam-6190	150	20	•	•	NUM
ejpam-6190	150	21	y	y	NOUN
ejpam-6190	150	22	)	)	PUNCT
ejpam-6190	150	23	∗	∗	NOUN
ejpam-6190	150	24	(	(	PUNCT
ejpam-6190	150	25	x	x	SYM
ejpam-6190	150	26	•	•	NUM
ejpam-6190	150	27	z	z	NOUN
ejpam-6190	150	28	)	)	PUNCT
ejpam-6190	150	29	=	=	PUNCT
ejpam-6190	151	1	[	[	X
ejpam-6190	151	2	(	(	PUNCT
ejpam-6190	151	3	x	x	SYM
ejpam-6190	151	4	•	•	NUM
ejpam-6190	151	5	1	1	NUM
ejpam-6190	151	6	)	)	PUNCT
ejpam-6190	151	7	∗	∗	NOUN
ejpam-6190	151	8	(	(	PUNCT
ejpam-6190	151	9	x	x	SYM
ejpam-6190	151	10	•	•	NUM
ejpam-6190	151	11	y	y	NOUN
ejpam-6190	151	12	)	)	PUNCT
ejpam-6190	151	13	]	]	PUNCT
ejpam-6190	152	1	∗	∗	NOUN
ejpam-6190	152	2	z	z	X
ejpam-6190	152	3	=	=	SYM
ejpam-6190	152	4	y	y	PROPN
ejpam-6190	152	5	∗	∗	NOUN
ejpam-6190	152	6	z.	z.	PROPN
ejpam-6190	153	1	therefore	therefore	ADV
ejpam-6190	153	2	,	,	PUNCT
ejpam-6190	153	3	x	x	PRON
ejpam-6190	153	4	satisfies	satisfie	NOUN
ejpam-6190	153	5	(	(	PUNCT
ejpam-6190	153	6	i	i	NOUN
ejpam-6190	153	7	)	)	PUNCT
ejpam-6190	153	8	,	,	PUNCT
ejpam-6190	153	9	(	(	PUNCT
ejpam-6190	153	10	ii	ii	NOUN
ejpam-6190	153	11	)	)	PUNCT
ejpam-6190	153	12	,	,	PUNCT
ejpam-6190	153	13	and	and	CCONJ
ejpam-6190	153	14	(	(	PUNCT
ejpam-6190	153	15	iii	iii	NOUN
ejpam-6190	153	16	)	)	PUNCT
ejpam-6190	153	17	.	.	PUNCT
ejpam-6190	154	1	the	the	DET
ejpam-6190	154	2	next	next	ADJ
ejpam-6190	154	3	proposition	proposition	NOUN
ejpam-6190	154	4	gives	give	VERB
ejpam-6190	154	5	a	a	DET
ejpam-6190	154	6	condition	condition	NOUN
ejpam-6190	154	7	for	for	ADP
ejpam-6190	154	8	the	the	DET
ejpam-6190	154	9	converse	converse	NOUN
ejpam-6190	154	10	of	of	ADP
ejpam-6190	154	11	theorem	theorem	NOUN
ejpam-6190	154	12	1	1	NUM
ejpam-6190	154	13	to	to	PART
ejpam-6190	154	14	hold	hold	VERB
ejpam-6190	154	15	.	.	PUNCT
ejpam-6190	155	1	j.	j.	PROPN
ejpam-6190	155	2	m.	m.	PROPN
ejpam-6190	155	3	s.	s.	PROPN
ejpam-6190	155	4	leuveras	leuveras	PROPN
ejpam-6190	155	5	,	,	PUNCT
ejpam-6190	155	6	k.	k.	PROPN
ejpam-6190	155	7	b.	b.	PROPN
ejpam-6190	155	8	fuentes	fuentes	PROPN
ejpam-6190	155	9	/	/	SYM
ejpam-6190	155	10	eur	eur	PROPN
ejpam-6190	155	11	.	.	PUNCT
ejpam-6190	156	1	j.	j.	PROPN
ejpam-6190	156	2	pure	pure	PROPN
ejpam-6190	156	3	appl	appl	PROPN
ejpam-6190	156	4	.	.	PROPN
ejpam-6190	156	5	math	math	PROPN
ejpam-6190	156	6	,	,	PUNCT
ejpam-6190	156	7	18	18	NUM
ejpam-6190	156	8	(	(	PUNCT
ejpam-6190	156	9	4	4	NUM
ejpam-6190	156	10	)	)	PUNCT
ejpam-6190	156	11	(	(	PUNCT
ejpam-6190	156	12	2025	2025	NUM
ejpam-6190	156	13	)	)	PUNCT
ejpam-6190	156	14	,	,	PUNCT
ejpam-6190	156	15	6190	6190	NUM
ejpam-6190	156	16	6	6	NUM
ejpam-6190	156	17	of	of	ADP
ejpam-6190	156	18	12	12	NUM
ejpam-6190	156	19	proposition	proposition	NOUN
ejpam-6190	156	20	2	2	NUM
ejpam-6190	156	21	.	.	PUNCT
ejpam-6190	157	1	let	let	VERB
ejpam-6190	157	2	x	x	PUNCT
ejpam-6190	157	3	=	=	PUNCT
ejpam-6190	157	4	(	(	PUNCT
ejpam-6190	157	5	x	x	X
ejpam-6190	157	6	,	,	PUNCT
ejpam-6190	157	7	•	•	NUM
ejpam-6190	157	8	,	,	PUNCT
ejpam-6190	157	9	∗	∗	NOUN
ejpam-6190	157	10	,	,	PUNCT
ejpam-6190	157	11	1	1	NUM
ejpam-6190	157	12	)	)	PUNCT
ejpam-6190	157	13	be	be	AUX
ejpam-6190	157	14	any	any	DET
ejpam-6190	157	15	algebra	algebra	NOUN
ejpam-6190	157	16	of	of	ADP
ejpam-6190	157	17	type	type	NOUN
ejpam-6190	157	18	(	(	PUNCT
ejpam-6190	157	19	2	2	NUM
ejpam-6190	157	20	,	,	PUNCT
ejpam-6190	157	21	2	2	NUM
ejpam-6190	157	22	,	,	PUNCT
ejpam-6190	157	23	0	0	NUM
ejpam-6190	157	24	)	)	PUNCT
ejpam-6190	157	25	.	.	PUNCT
ejpam-6190	158	1	for	for	ADP
ejpam-6190	158	2	any	any	DET
ejpam-6190	158	3	x	x	NOUN
ejpam-6190	158	4	,	,	PUNCT
ejpam-6190	158	5	y	y	PROPN
ejpam-6190	158	6	,	,	PUNCT
ejpam-6190	158	7	z	z	NOUN
ejpam-6190	158	8	in	in	ADP
ejpam-6190	158	9	x	x	SYM
ejpam-6190	158	10	,	,	PUNCT
ejpam-6190	158	11	if	if	SCONJ
ejpam-6190	158	12	x	x	PRON
ejpam-6190	158	13	satisfies	satisfie	NOUN
ejpam-6190	158	14	x	x	PUNCT
ejpam-6190	158	15	•	•	X
ejpam-6190	158	16	(	(	PUNCT
ejpam-6190	158	17	y	y	PROPN
ejpam-6190	158	18	∗	∗	PROPN
ejpam-6190	158	19	z	z	NOUN
ejpam-6190	158	20	)	)	PUNCT
ejpam-6190	158	21	=	=	SYM
ejpam-6190	158	22	(	(	PUNCT
ejpam-6190	158	23	(	(	PUNCT
ejpam-6190	158	24	y	y	PROPN
ejpam-6190	158	25	∗	∗	PROPN
ejpam-6190	158	26	1	1	NUM
ejpam-6190	158	27	)	)	PUNCT
ejpam-6190	158	28	•	•	NUM
ejpam-6190	158	29	x	x	X
ejpam-6190	158	30	)	)	PUNCT
ejpam-6190	158	31	•	•	ADP
ejpam-6190	158	32	z	z	NOUN
ejpam-6190	158	33	,	,	PUNCT
ejpam-6190	158	34	x	x	SYM
ejpam-6190	158	35	∗	∗	NOUN
ejpam-6190	158	36	(	(	PUNCT
ejpam-6190	158	37	y	y	PROPN
ejpam-6190	158	38	•	•	PROPN
ejpam-6190	158	39	z	z	PROPN
ejpam-6190	158	40	)	)	PUNCT
ejpam-6190	158	41	=	=	SYM
ejpam-6190	158	42	(	(	PUNCT
ejpam-6190	158	43	(	(	PUNCT
ejpam-6190	158	44	y	y	NOUN
ejpam-6190	158	45	•	•	NUM
ejpam-6190	158	46	1	1	NUM
ejpam-6190	158	47	)	)	PUNCT
ejpam-6190	158	48	∗	∗	NOUN
ejpam-6190	158	49	x	x	NOUN
ejpam-6190	158	50	)	)	PUNCT
ejpam-6190	158	51	∗	∗	PROPN
ejpam-6190	158	52	z	z	PROPN
ejpam-6190	158	53	,	,	PUNCT
ejpam-6190	158	54	and	and	CCONJ
ejpam-6190	158	55	(	(	PUNCT
ejpam-6190	158	56	i	i	NOUN
ejpam-6190	158	57	)	)	PUNCT
ejpam-6190	158	58	,	,	PUNCT
ejpam-6190	158	59	(	(	PUNCT
ejpam-6190	158	60	ii	ii	NOUN
ejpam-6190	158	61	)	)	PUNCT
ejpam-6190	158	62	,	,	PUNCT
ejpam-6190	158	63	(	(	PUNCT
ejpam-6190	158	64	iii	iii	NOUN
ejpam-6190	158	65	)	)	PUNCT
ejpam-6190	158	66	of	of	ADP
ejpam-6190	158	67	theorem	theorem	NOUN
ejpam-6190	158	68	1	1	NUM
ejpam-6190	158	69	,	,	PUNCT
ejpam-6190	158	70	then	then	ADV
ejpam-6190	158	71	x	x	PUNCT
ejpam-6190	158	72	is	be	AUX
ejpam-6190	158	73	a	a	DET
ejpam-6190	158	74	pseudo	pseudo	NOUN
ejpam-6190	158	75	-	-	ADJ
ejpam-6190	158	76	db	db	NOUN
ejpam-6190	158	77	-	-	PUNCT
ejpam-6190	158	78	algebra	algebra	NOUN
ejpam-6190	158	79	.	.	PUNCT
ejpam-6190	159	1	proof	proof	NOUN
ejpam-6190	159	2	.	.	PUNCT
ejpam-6190	160	1	it	it	PRON
ejpam-6190	160	2	remains	remain	VERB
ejpam-6190	160	3	to	to	PART
ejpam-6190	160	4	show	show	VERB
ejpam-6190	160	5	(	(	PUNCT
ejpam-6190	160	6	pdb2	pdb2	NOUN
ejpam-6190	160	7	)	)	PUNCT
ejpam-6190	160	8	.	.	PUNCT
ejpam-6190	161	1	by	by	ADP
ejpam-6190	161	2	(	(	PUNCT
ejpam-6190	161	3	iii	iii	NOUN
ejpam-6190	161	4	)	)	PUNCT
ejpam-6190	161	5	,	,	PUNCT
ejpam-6190	161	6	(	(	PUNCT
ejpam-6190	161	7	i	i	NOUN
ejpam-6190	161	8	)	)	PUNCT
ejpam-6190	161	9	,	,	PUNCT
ejpam-6190	161	10	and	and	CCONJ
ejpam-6190	161	11	(	(	PUNCT
ejpam-6190	161	12	ii	ii	NOUN
ejpam-6190	161	13	)	)	PUNCT
ejpam-6190	161	14	,	,	PUNCT
ejpam-6190	161	15	1	1	NUM
ejpam-6190	161	16	•	•	NOUN
ejpam-6190	161	17	x	x	X
ejpam-6190	161	18	=	=	SYM
ejpam-6190	161	19	(	(	PUNCT
ejpam-6190	161	20	x	x	NOUN
ejpam-6190	161	21	∗	∗	NOUN
ejpam-6190	161	22	1	1	NUM
ejpam-6190	161	23	)	)	PUNCT
ejpam-6190	161	24	•	•	NOUN
ejpam-6190	161	25	(	(	PUNCT
ejpam-6190	161	26	x	x	X
ejpam-6190	161	27	∗	∗	NOUN
ejpam-6190	161	28	x	x	NOUN
ejpam-6190	161	29	)	)	PUNCT
ejpam-6190	161	30	=	=	SYM
ejpam-6190	161	31	(	(	PUNCT
ejpam-6190	161	32	x	x	X
ejpam-6190	161	33	∗	∗	NOUN
ejpam-6190	161	34	1	1	NUM
ejpam-6190	161	35	)	)	PUNCT
ejpam-6190	161	36	•	•	NOUN
ejpam-6190	161	37	1	1	NUM
ejpam-6190	161	38	=	=	SYM
ejpam-6190	161	39	x	x	X
ejpam-6190	161	40	and	and	CCONJ
ejpam-6190	161	41	1	1	NUM
ejpam-6190	161	42	∗	∗	NOUN
ejpam-6190	161	43	x	x	X
ejpam-6190	161	44	=	=	SYM
ejpam-6190	161	45	(	(	PUNCT
ejpam-6190	161	46	x	x	SYM
ejpam-6190	161	47	•	•	NUM
ejpam-6190	161	48	1	1	NUM
ejpam-6190	161	49	)	)	PUNCT
ejpam-6190	161	50	∗	∗	NOUN
ejpam-6190	161	51	(	(	PUNCT
ejpam-6190	161	52	x	x	SYM
ejpam-6190	161	53	•	•	NUM
ejpam-6190	161	54	x	x	NOUN
ejpam-6190	161	55	)	)	PUNCT
ejpam-6190	161	56	=	=	SYM
ejpam-6190	161	57	(	(	PUNCT
ejpam-6190	161	58	x	x	SYM
ejpam-6190	161	59	•	•	NUM
ejpam-6190	161	60	1	1	NUM
ejpam-6190	161	61	)	)	PUNCT
ejpam-6190	161	62	∗	∗	NOUN
ejpam-6190	161	63	1	1	NUM
ejpam-6190	161	64	=	=	SYM
ejpam-6190	161	65	x.	x.	NOUN
ejpam-6190	161	66	thus	thus	ADV
ejpam-6190	161	67	,	,	PUNCT
ejpam-6190	161	68	x	x	PRON
ejpam-6190	161	69	satisfies	satisfie	NOUN
ejpam-6190	161	70	(	(	PUNCT
ejpam-6190	161	71	pdb2	pdb2	PROPN
ejpam-6190	161	72	)	)	PUNCT
ejpam-6190	161	73	.	.	PUNCT
ejpam-6190	162	1	therefore	therefore	ADV
ejpam-6190	162	2	,	,	PUNCT
ejpam-6190	162	3	x	x	X
ejpam-6190	162	4	is	be	AUX
ejpam-6190	162	5	a	a	DET
ejpam-6190	162	6	pseudo	pseudo	NOUN
ejpam-6190	162	7	-	-	ADJ
ejpam-6190	162	8	db	db	NOUN
ejpam-6190	162	9	-	-	PUNCT
ejpam-6190	162	10	algebra	algebra	NOUN
ejpam-6190	162	11	.	.	PUNCT
ejpam-6190	163	1	4	4	X
ejpam-6190	163	2	.	.	X
ejpam-6190	163	3	pseudo	pseudo	NOUN
ejpam-6190	163	4	-	-	ADJ
ejpam-6190	163	5	dual	dual	ADJ
ejpam-6190	163	6	b	b	NOUN
ejpam-6190	163	7	-	-	PUNCT
ejpam-6190	163	8	subalgebra	subalgebra	ADJ
ejpam-6190	163	9	and	and	CCONJ
ejpam-6190	163	10	pseudo	pseudo	NOUN
ejpam-6190	163	11	-	-	ADJ
ejpam-6190	163	12	dual	dual	ADJ
ejpam-6190	163	13	b	b	NOUN
ejpam-6190	163	14	-	-	NOUN
ejpam-6190	163	15	filter	filter	NOUN
ejpam-6190	163	16	in	in	ADP
ejpam-6190	163	17	this	this	DET
ejpam-6190	163	18	section	section	NOUN
ejpam-6190	163	19	,	,	PUNCT
ejpam-6190	163	20	x	x	X
ejpam-6190	163	21	is	be	AUX
ejpam-6190	163	22	a	a	DET
ejpam-6190	163	23	pseudo	pseudo	NOUN
ejpam-6190	163	24	-	-	ADJ
ejpam-6190	163	25	db	db	NOUN
ejpam-6190	163	26	-	-	PUNCT
ejpam-6190	163	27	algebra	algebra	NOUN
ejpam-6190	163	28	,	,	PUNCT
ejpam-6190	163	29	unless	unless	SCONJ
ejpam-6190	163	30	otherwise	otherwise	ADV
ejpam-6190	163	31	is	be	AUX
ejpam-6190	163	32	stated	state	VERB
ejpam-6190	163	33	.	.	PUNCT
ejpam-6190	164	1	definition	definition	NOUN
ejpam-6190	164	2	5	5	NUM
ejpam-6190	164	3	.	.	PUNCT
ejpam-6190	165	1	let	let	VERB
ejpam-6190	165	2	s	s	PRON
ejpam-6190	165	3	be	be	AUX
ejpam-6190	165	4	a	a	DET
ejpam-6190	165	5	nonempty	nonempty	ADJ
ejpam-6190	165	6	subset	subset	NOUN
ejpam-6190	165	7	of	of	ADP
ejpam-6190	165	8	x.	x.	NOUN
ejpam-6190	165	9	then	then	ADV
ejpam-6190	165	10	s	s	VERB
ejpam-6190	165	11	is	be	AUX
ejpam-6190	165	12	called	call	VERB
ejpam-6190	165	13	a	a	DET
ejpam-6190	165	14	pseudo	pseudo	NOUN
ejpam-6190	165	15	-	-	ADJ
ejpam-6190	165	16	dual	dual	ADJ
ejpam-6190	165	17	bsubalgebra	bsubalgebra	NOUN
ejpam-6190	165	18	(	(	PUNCT
ejpam-6190	165	19	or	or	CCONJ
ejpam-6190	165	20	pseudo	pseudo	NOUN
ejpam-6190	165	21	-	-	ADJ
ejpam-6190	165	22	db	db	NOUN
ejpam-6190	165	23	-	-	PUNCT
ejpam-6190	165	24	subalgebra	subalgebra	NOUN
ejpam-6190	165	25	)	)	PUNCT
ejpam-6190	165	26	of	of	ADP
ejpam-6190	165	27	x	x	PRON
ejpam-6190	165	28	if	if	SCONJ
ejpam-6190	165	29	s	s	PRON
ejpam-6190	165	30	itself	itself	PRON
ejpam-6190	165	31	is	be	AUX
ejpam-6190	165	32	a	a	DET
ejpam-6190	165	33	pseudo	pseudo	NOUN
ejpam-6190	165	34	-	-	ADJ
ejpam-6190	165	35	db	db	NOUN
ejpam-6190	165	36	-	-	PUNCT
ejpam-6190	165	37	algebra	algebra	NOUN
ejpam-6190	165	38	with	with	ADP
ejpam-6190	165	39	the	the	DET
ejpam-6190	165	40	binary	binary	ADJ
ejpam-6190	165	41	operations	operation	NOUN
ejpam-6190	165	42	of	of	ADP
ejpam-6190	165	43	x	x	PUNCT
ejpam-6190	165	44	on	on	ADP
ejpam-6190	165	45	s.	s.	PROPN
ejpam-6190	165	46	remark	remark	PROPN
ejpam-6190	165	47	3	3	X
ejpam-6190	165	48	.	.	PUNCT
ejpam-6190	166	1	if	if	SCONJ
ejpam-6190	166	2	s	s	PROPN
ejpam-6190	166	3	is	be	AUX
ejpam-6190	166	4	a	a	DET
ejpam-6190	166	5	pseudo	pseudo	NOUN
ejpam-6190	166	6	-	-	ADJ
ejpam-6190	166	7	db	db	NOUN
ejpam-6190	166	8	-	-	PUNCT
ejpam-6190	166	9	subalgebra	subalgebra	NOUN
ejpam-6190	166	10	of	of	ADP
ejpam-6190	166	11	x	x	PRON
ejpam-6190	166	12	,	,	PUNCT
ejpam-6190	166	13	then	then	ADV
ejpam-6190	166	14	1	1	NUM
ejpam-6190	166	15	∈	∈	PROPN
ejpam-6190	166	16	s.	s.	PROPN
ejpam-6190	166	17	the	the	DET
ejpam-6190	166	18	following	follow	VERB
ejpam-6190	166	19	theorem	theorem	NOUN
ejpam-6190	166	20	is	be	AUX
ejpam-6190	166	21	a	a	DET
ejpam-6190	166	22	characterization	characterization	NOUN
ejpam-6190	166	23	of	of	ADP
ejpam-6190	166	24	a	a	DET
ejpam-6190	166	25	pseudo	pseudo	NOUN
ejpam-6190	166	26	-	-	ADJ
ejpam-6190	166	27	db	db	NOUN
ejpam-6190	166	28	-	-	PUNCT
ejpam-6190	166	29	subalgebra	subalgebra	NOUN
ejpam-6190	166	30	.	.	PUNCT
ejpam-6190	167	1	theorem	theorem	NOUN
ejpam-6190	167	2	2	2	NUM
ejpam-6190	167	3	.	.	PUNCT
ejpam-6190	168	1	let	let	VERB
ejpam-6190	168	2	s	s	PRON
ejpam-6190	168	3	be	be	AUX
ejpam-6190	168	4	a	a	DET
ejpam-6190	168	5	nonempty	nonempty	ADJ
ejpam-6190	168	6	subset	subset	NOUN
ejpam-6190	168	7	of	of	ADP
ejpam-6190	168	8	x.	x.	NOUN
ejpam-6190	168	9	then	then	ADV
ejpam-6190	168	10	s	s	VERB
ejpam-6190	168	11	is	be	AUX
ejpam-6190	168	12	a	a	DET
ejpam-6190	168	13	pseudo	pseudo	NOUN
ejpam-6190	168	14	-	-	ADJ
ejpam-6190	168	15	db	db	NOUN
ejpam-6190	168	16	-	-	PUNCT
ejpam-6190	168	17	subalgebra	subalgebra	NOUN
ejpam-6190	168	18	of	of	ADP
ejpam-6190	168	19	x	x	PRON
ejpam-6190	168	20	if	if	SCONJ
ejpam-6190	168	21	and	and	CCONJ
ejpam-6190	168	22	only	only	ADV
ejpam-6190	168	23	if	if	SCONJ
ejpam-6190	168	24	for	for	ADP
ejpam-6190	168	25	all	all	DET
ejpam-6190	168	26	x	x	NOUN
ejpam-6190	168	27	,	,	PUNCT
ejpam-6190	168	28	y	y	PROPN
ejpam-6190	168	29	in	in	ADP
ejpam-6190	168	30	s	s	PROPN
ejpam-6190	168	31	,	,	PUNCT
ejpam-6190	168	32	x	x	SYM
ejpam-6190	168	33	•	•	NUM
ejpam-6190	168	34	y	y	PROPN
ejpam-6190	168	35	∈	∈	PROPN
ejpam-6190	168	36	s	s	PART
ejpam-6190	168	37	and	and	CCONJ
ejpam-6190	168	38	x	x	SYM
ejpam-6190	168	39	∗	∗	NOUN
ejpam-6190	168	40	y	y	PROPN
ejpam-6190	168	41	∈	∈	PROPN
ejpam-6190	168	42	s.	s.	PROPN
ejpam-6190	168	43	proof	proof	PROPN
ejpam-6190	168	44	.	.	PUNCT
ejpam-6190	169	1	let	let	VERB
ejpam-6190	169	2	s	s	PRON
ejpam-6190	169	3	be	be	AUX
ejpam-6190	169	4	a	a	DET
ejpam-6190	169	5	nonempty	nonempty	ADJ
ejpam-6190	169	6	subset	subset	NOUN
ejpam-6190	169	7	of	of	ADP
ejpam-6190	169	8	x	x	PUNCT
ejpam-6190	169	9	with	with	ADP
ejpam-6190	169	10	x	x	SYM
ejpam-6190	169	11	•	•	NUM
ejpam-6190	169	12	y	y	PROPN
ejpam-6190	169	13	∈	∈	PROPN
ejpam-6190	169	14	s	s	PART
ejpam-6190	169	15	and	and	CCONJ
ejpam-6190	169	16	x	x	SYM
ejpam-6190	169	17	∗	∗	NOUN
ejpam-6190	169	18	y	y	PROPN
ejpam-6190	169	19	∈	∈	PROPN
ejpam-6190	169	20	s	s	PROPN
ejpam-6190	169	21	for	for	ADP
ejpam-6190	169	22	all	all	DET
ejpam-6190	169	23	x	x	NOUN
ejpam-6190	169	24	,	,	PUNCT
ejpam-6190	169	25	y	y	PROPN
ejpam-6190	169	26	in	in	ADP
ejpam-6190	169	27	s.	s.	PROPN
ejpam-6190	169	28	note	note	VERB
ejpam-6190	169	29	that	that	SCONJ
ejpam-6190	169	30	s	s	VERB
ejpam-6190	169	31	satisfies	satisfie	NOUN
ejpam-6190	169	32	(	(	PUNCT
ejpam-6190	169	33	pdb1	pdb1	PROPN
ejpam-6190	169	34	)	)	PUNCT
ejpam-6190	169	35	,	,	PUNCT
ejpam-6190	169	36	(	(	PUNCT
ejpam-6190	169	37	pdb2	pdb2	NOUN
ejpam-6190	169	38	)	)	PUNCT
ejpam-6190	169	39	,	,	PUNCT
ejpam-6190	169	40	and	and	CCONJ
ejpam-6190	169	41	(	(	PUNCT
ejpam-6190	169	42	pdb3	pdb3	NOUN
ejpam-6190	169	43	)	)	PUNCT
ejpam-6190	169	44	with	with	ADP
ejpam-6190	169	45	1	1	NUM
ejpam-6190	169	46	=	=	SYM
ejpam-6190	169	47	x	x	SYM
ejpam-6190	169	48	•	•	NOUN
ejpam-6190	169	49	x	x	X
ejpam-6190	169	50	=	=	SYM
ejpam-6190	169	51	x	x	SYM
ejpam-6190	169	52	∗	∗	NOUN
ejpam-6190	169	53	x	x	SYM
ejpam-6190	169	54	∈	∈	PROPN
ejpam-6190	169	55	s.	s.	PROPN
ejpam-6190	169	56	thus	thus	ADV
ejpam-6190	169	57	,	,	PUNCT
ejpam-6190	169	58	s	s	VERB
ejpam-6190	169	59	is	be	AUX
ejpam-6190	169	60	itself	itself	PRON
ejpam-6190	169	61	a	a	DET
ejpam-6190	169	62	pseudo	pseudo	NOUN
ejpam-6190	169	63	-	-	ADJ
ejpam-6190	169	64	db	db	NOUN
ejpam-6190	169	65	-	-	PUNCT
ejpam-6190	169	66	algebra	algebra	NOUN
ejpam-6190	169	67	.	.	PUNCT
ejpam-6190	170	1	the	the	DET
ejpam-6190	170	2	converse	converse	NOUN
ejpam-6190	170	3	follows	follow	VERB
ejpam-6190	170	4	immediately	immediately	ADV
ejpam-6190	170	5	by	by	ADP
ejpam-6190	170	6	definition	definition	NOUN
ejpam-6190	170	7	of	of	ADP
ejpam-6190	170	8	a	a	DET
ejpam-6190	170	9	binary	binary	ADJ
ejpam-6190	170	10	operator	operator	NOUN
ejpam-6190	170	11	.	.	PUNCT
ejpam-6190	171	1	proposition	proposition	NOUN
ejpam-6190	171	2	3	3	NUM
ejpam-6190	171	3	.	.	PUNCT
ejpam-6190	172	1	let	let	VERB
ejpam-6190	172	2	s	s	PRON
ejpam-6190	172	3	be	be	AUX
ejpam-6190	172	4	a	a	DET
ejpam-6190	172	5	pseudo	pseudo	NOUN
ejpam-6190	172	6	-	-	ADJ
ejpam-6190	172	7	db	db	NOUN
ejpam-6190	172	8	-	-	PUNCT
ejpam-6190	172	9	subalgebra	subalgebra	NOUN
ejpam-6190	172	10	of	of	ADP
ejpam-6190	172	11	x.	x.	NOUN
ejpam-6190	172	12	then	then	ADV
ejpam-6190	172	13	for	for	ADP
ejpam-6190	172	14	all	all	DET
ejpam-6190	172	15	x	x	NOUN
ejpam-6190	172	16	,	,	PUNCT
ejpam-6190	172	17	y	y	PROPN
ejpam-6190	172	18	in	in	ADP
ejpam-6190	172	19	s	s	PROPN
ejpam-6190	172	20	:	:	PUNCT
ejpam-6190	172	21	(	(	PUNCT
ejpam-6190	172	22	i	i	NOUN
ejpam-6190	172	23	)	)	PUNCT
ejpam-6190	172	24	if	if	SCONJ
ejpam-6190	172	25	x	x	PROPN
ejpam-6190	172	26	∗	∗	VERB
ejpam-6190	172	27	y	y	PROPN
ejpam-6190	172	28	∈	∈	PROPN
ejpam-6190	172	29	s	s	PROPN
ejpam-6190	172	30	,	,	PUNCT
ejpam-6190	172	31	then	then	ADV
ejpam-6190	172	32	y	y	PROPN
ejpam-6190	172	33	•	•	NOUN
ejpam-6190	172	34	x	x	PUNCT
ejpam-6190	172	35	∈	∈	PROPN
ejpam-6190	172	36	s	s	PART
ejpam-6190	172	37	;	;	PUNCT
ejpam-6190	172	38	and	and	CCONJ
ejpam-6190	172	39	(	(	PUNCT
ejpam-6190	172	40	ii	ii	NOUN
ejpam-6190	172	41	)	)	PUNCT
ejpam-6190	172	42	if	if	SCONJ
ejpam-6190	172	43	x	x	X
ejpam-6190	172	44	•	•	VERB
ejpam-6190	172	45	y	y	PROPN
ejpam-6190	172	46	∈	∈	PROPN
ejpam-6190	172	47	s	s	PROPN
ejpam-6190	172	48	,	,	PUNCT
ejpam-6190	172	49	then	then	ADV
ejpam-6190	172	50	y	y	PROPN
ejpam-6190	172	51	∗	∗	NOUN
ejpam-6190	172	52	x	x	PROPN
ejpam-6190	172	53	∈	∈	PROPN
ejpam-6190	172	54	s.	s.	PROPN
ejpam-6190	172	55	proof	proof	PROPN
ejpam-6190	172	56	.	.	PUNCT
ejpam-6190	173	1	for	for	ADP
ejpam-6190	173	2	x	x	X
ejpam-6190	173	3	,	,	PUNCT
ejpam-6190	173	4	y	y	PROPN
ejpam-6190	173	5	∈	∈	PROPN
ejpam-6190	173	6	s	s	VERB
ejpam-6190	173	7	,	,	PUNCT
ejpam-6190	173	8	let	let	VERB
ejpam-6190	173	9	x	x	PRON
ejpam-6190	173	10	∗	∗	VERB
ejpam-6190	173	11	y	y	PROPN
ejpam-6190	173	12	∈	∈	PROPN
ejpam-6190	173	13	s	s	PART
ejpam-6190	173	14	and	and	CCONJ
ejpam-6190	173	15	x	x	SYM
ejpam-6190	173	16	•	•	NUM
ejpam-6190	173	17	y	y	PROPN
ejpam-6190	173	18	∈	∈	PROPN
ejpam-6190	173	19	s.	s.	PROPN
ejpam-6190	173	20	by	by	ADP
ejpam-6190	173	21	lemma	lemma	PROPN
ejpam-6190	173	22	1(iv),(x	1(iv),(x	PROPN
ejpam-6190	173	23	∗	∗	PROPN
ejpam-6190	173	24	y	y	PROPN
ejpam-6190	173	25	)	)	PUNCT
ejpam-6190	173	26	•	•	ADV
ejpam-6190	173	27	1	1	NUM
ejpam-6190	173	28	=	=	SYM
ejpam-6190	173	29	y	y	PROPN
ejpam-6190	173	30	•	•	NOUN
ejpam-6190	173	31	x	x	PUNCT
ejpam-6190	173	32	and	and	CCONJ
ejpam-6190	173	33	(	(	PUNCT
ejpam-6190	173	34	x	x	SYM
ejpam-6190	173	35	•	•	NUM
ejpam-6190	173	36	y	y	NOUN
ejpam-6190	173	37	)	)	PUNCT
ejpam-6190	173	38	∗	∗	NOUN
ejpam-6190	173	39	1	1	NUM
ejpam-6190	173	40	=	=	SYM
ejpam-6190	173	41	y	y	PROPN
ejpam-6190	173	42	∗	∗	NOUN
ejpam-6190	173	43	x.	x.	NOUN
ejpam-6190	174	1	since	since	SCONJ
ejpam-6190	174	2	x	x	PROPN
ejpam-6190	174	3	∗	∗	PROPN
ejpam-6190	174	4	y	y	PROPN
ejpam-6190	174	5	,	,	PUNCT
ejpam-6190	174	6	x	x	PROPN
ejpam-6190	174	7	•	•	NUM
ejpam-6190	174	8	y	y	PROPN
ejpam-6190	174	9	,	,	PUNCT
ejpam-6190	174	10	1	1	NUM
ejpam-6190	174	11	∈	∈	PROPN
ejpam-6190	174	12	s	s	NOUN
ejpam-6190	174	13	,	,	PUNCT
ejpam-6190	174	14	(	(	PUNCT
ejpam-6190	174	15	x	x	X
ejpam-6190	174	16	∗	∗	PROPN
ejpam-6190	174	17	y	y	NOUN
ejpam-6190	174	18	)	)	PUNCT
ejpam-6190	174	19	•	•	NOUN
ejpam-6190	174	20	1	1	NUM
ejpam-6190	174	21	∈	∈	NOUN
ejpam-6190	174	22	s	s	X
ejpam-6190	174	23	and	and	CCONJ
ejpam-6190	174	24	(	(	PUNCT
ejpam-6190	174	25	x	x	SYM
ejpam-6190	174	26	•	•	NUM
ejpam-6190	174	27	y	y	NOUN
ejpam-6190	174	28	)	)	PUNCT
ejpam-6190	174	29	∗	∗	NOUN
ejpam-6190	174	30	1	1	NUM
ejpam-6190	174	31	∈	∈	PROPN
ejpam-6190	174	32	s.	s.	PROPN
ejpam-6190	174	33	hence	hence	ADV
ejpam-6190	174	34	,	,	PUNCT
ejpam-6190	174	35	y	y	PROPN
ejpam-6190	174	36	•	•	NOUN
ejpam-6190	174	37	x	x	PUNCT
ejpam-6190	174	38	∈	∈	PROPN
ejpam-6190	174	39	s	s	X
ejpam-6190	174	40	and	and	CCONJ
ejpam-6190	174	41	y	y	PROPN
ejpam-6190	174	42	∗	∗	NOUN
ejpam-6190	174	43	x	x	SYM
ejpam-6190	174	44	∈	∈	PROPN
ejpam-6190	174	45	s.	s.	PROPN
ejpam-6190	174	46	proposition	proposition	PROPN
ejpam-6190	174	47	4	4	X
ejpam-6190	174	48	.	.	PUNCT
ejpam-6190	174	49	let	let	VERB
ejpam-6190	174	50	s	s	PRON
ejpam-6190	174	51	be	be	AUX
ejpam-6190	174	52	a	a	DET
ejpam-6190	174	53	pseudo	pseudo	NOUN
ejpam-6190	174	54	-	-	ADJ
ejpam-6190	174	55	db	db	NOUN
ejpam-6190	174	56	-	-	PUNCT
ejpam-6190	174	57	subalgebra	subalgebra	NOUN
ejpam-6190	174	58	of	of	ADP
ejpam-6190	174	59	x.	x.	NOUN
ejpam-6190	174	60	if	if	SCONJ
ejpam-6190	174	61	t	t	PROPN
ejpam-6190	174	62	is	be	AUX
ejpam-6190	174	63	a	a	DET
ejpam-6190	174	64	pseudo	pseudo	NOUN
ejpam-6190	174	65	-	-	ADJ
ejpam-6190	174	66	db	db	NOUN
ejpam-6190	174	67	-	-	PUNCT
ejpam-6190	174	68	subalgebra	subalgebra	NOUN
ejpam-6190	174	69	of	of	ADP
ejpam-6190	174	70	s	s	PROPN
ejpam-6190	174	71	,	,	PUNCT
ejpam-6190	174	72	then	then	ADV
ejpam-6190	174	73	t	t	PROPN
ejpam-6190	174	74	is	be	AUX
ejpam-6190	174	75	a	a	DET
ejpam-6190	174	76	pseudo	pseudo	NOUN
ejpam-6190	174	77	-	-	ADJ
ejpam-6190	174	78	db	db	NOUN
ejpam-6190	174	79	-	-	PUNCT
ejpam-6190	174	80	subalgebra	subalgebra	NOUN
ejpam-6190	174	81	of	of	ADP
ejpam-6190	174	82	x	x	PRON
ejpam-6190	174	83	as	as	ADV
ejpam-6190	174	84	well	well	ADV
ejpam-6190	174	85	.	.	PUNCT
ejpam-6190	175	1	proof	proof	NOUN
ejpam-6190	175	2	.	.	PUNCT
ejpam-6190	176	1	suppose	suppose	VERB
ejpam-6190	176	2	s	s	PRON
ejpam-6190	176	3	is	be	AUX
ejpam-6190	176	4	a	a	DET
ejpam-6190	176	5	pseudo	pseudo	NOUN
ejpam-6190	176	6	-	-	ADJ
ejpam-6190	176	7	db	db	NOUN
ejpam-6190	176	8	-	-	PUNCT
ejpam-6190	176	9	subalgebra	subalgebra	NOUN
ejpam-6190	176	10	of	of	ADP
ejpam-6190	176	11	x.	x.	NOUN
ejpam-6190	176	12	suppose	suppose	VERB
ejpam-6190	176	13	further	far	ADV
ejpam-6190	176	14	that	that	SCONJ
ejpam-6190	176	15	t	t	PROPN
ejpam-6190	176	16	is	be	AUX
ejpam-6190	176	17	a	a	DET
ejpam-6190	176	18	pseudodb	pseudodb	NOUN
ejpam-6190	176	19	-	-	PUNCT
ejpam-6190	176	20	subalgebra	subalgebra	NOUN
ejpam-6190	176	21	of	of	ADP
ejpam-6190	176	22	s.	s.	PROPN
ejpam-6190	176	23	then	then	ADV
ejpam-6190	176	24	1	1	NUM
ejpam-6190	176	25	∈	∈	NOUN
ejpam-6190	176	26	t	t	NOUN
ejpam-6190	176	27	by	by	ADP
ejpam-6190	176	28	remark	remark	NOUN
ejpam-6190	176	29	3	3	NUM
ejpam-6190	176	30	.	.	PUNCT
ejpam-6190	177	1	hence	hence	ADV
ejpam-6190	177	2	,	,	PUNCT
ejpam-6190	177	3	t	t	PROPN
ejpam-6190	177	4	̸=	̸=	PROPN
ejpam-6190	177	5	∅.	∅.	ADV
ejpam-6190	177	6	let	let	VERB
ejpam-6190	177	7	x	x	PRON
ejpam-6190	177	8	,	,	PUNCT
ejpam-6190	177	9	y	y	PROPN
ejpam-6190	177	10	∈	∈	PROPN
ejpam-6190	177	11	t	t	PROPN
ejpam-6190	177	12	.	.	PUNCT
ejpam-6190	178	1	since	since	SCONJ
ejpam-6190	178	2	t	t	PROPN
ejpam-6190	178	3	is	be	AUX
ejpam-6190	178	4	a	a	DET
ejpam-6190	178	5	pseudo	pseudo	NOUN
ejpam-6190	178	6	-	-	ADJ
ejpam-6190	178	7	db	db	NOUN
ejpam-6190	178	8	-	-	PUNCT
ejpam-6190	178	9	subalgebra	subalgebra	NOUN
ejpam-6190	178	10	of	of	ADP
ejpam-6190	178	11	s	s	PROPN
ejpam-6190	178	12	,	,	PUNCT
ejpam-6190	178	13	x	x	PROPN
ejpam-6190	178	14	•	•	NUM
ejpam-6190	178	15	y	y	PROPN
ejpam-6190	178	16	,	,	PUNCT
ejpam-6190	178	17	x	x	PUNCT
ejpam-6190	178	18	∗	∗	NOUN
ejpam-6190	178	19	y	y	PROPN
ejpam-6190	178	20	∈	∈	PROPN
ejpam-6190	178	21	t	t	PROPN
ejpam-6190	178	22	for	for	ADP
ejpam-6190	178	23	all	all	DET
ejpam-6190	178	24	x	x	NOUN
ejpam-6190	178	25	,	,	PUNCT
ejpam-6190	178	26	y	y	PROPN
ejpam-6190	178	27	∈	∈	PROPN
ejpam-6190	178	28	t	t	PROPN
ejpam-6190	178	29	.	.	PUNCT
ejpam-6190	179	1	therefore	therefore	ADV
ejpam-6190	179	2	,	,	PUNCT
ejpam-6190	179	3	t	t	PROPN
ejpam-6190	179	4	is	be	AUX
ejpam-6190	179	5	a	a	DET
ejpam-6190	179	6	pseudo	pseudo	NOUN
ejpam-6190	179	7	-	-	ADJ
ejpam-6190	179	8	db	db	NOUN
ejpam-6190	179	9	-	-	PUNCT
ejpam-6190	179	10	subalgebra	subalgebra	NOUN
ejpam-6190	179	11	of	of	ADP
ejpam-6190	179	12	x.	x.	NOUN
ejpam-6190	179	13	the	the	DET
ejpam-6190	179	14	next	next	ADJ
ejpam-6190	179	15	theorem	theorem	NOUN
ejpam-6190	179	16	shows	show	VERB
ejpam-6190	179	17	that	that	SCONJ
ejpam-6190	179	18	the	the	DET
ejpam-6190	179	19	intersection	intersection	NOUN
ejpam-6190	179	20	of	of	ADP
ejpam-6190	179	21	a	a	DET
ejpam-6190	179	22	nonempty	nonempty	ADJ
ejpam-6190	179	23	collection	collection	NOUN
ejpam-6190	179	24	of	of	ADP
ejpam-6190	179	25	pseudo	pseudo	NOUN
ejpam-6190	179	26	-	-	NOUN
ejpam-6190	179	27	dbsubalgebra	dbsubalgebra	NOUN
ejpam-6190	179	28	of	of	ADP
ejpam-6190	179	29	x	x	SYM
ejpam-6190	179	30	is	be	AUX
ejpam-6190	179	31	a	a	DET
ejpam-6190	179	32	pseudo	pseudo	NOUN
ejpam-6190	179	33	-	-	ADJ
ejpam-6190	179	34	db	db	NOUN
ejpam-6190	179	35	-	-	PUNCT
ejpam-6190	179	36	subalgebra	subalgebra	NOUN
ejpam-6190	179	37	.	.	PUNCT
ejpam-6190	180	1	j.	j.	PROPN
ejpam-6190	180	2	m.	m.	PROPN
ejpam-6190	180	3	s.	s.	PROPN
ejpam-6190	180	4	leuveras	leuveras	PROPN
ejpam-6190	180	5	,	,	PUNCT
ejpam-6190	180	6	k.	k.	PROPN
ejpam-6190	180	7	b.	b.	PROPN
ejpam-6190	180	8	fuentes	fuentes	PROPN
ejpam-6190	180	9	/	/	SYM
ejpam-6190	180	10	eur	eur	PROPN
ejpam-6190	180	11	.	.	PUNCT
ejpam-6190	181	1	j.	j.	PROPN
ejpam-6190	181	2	pure	pure	PROPN
ejpam-6190	181	3	appl	appl	PROPN
ejpam-6190	181	4	.	.	PROPN
ejpam-6190	181	5	math	math	PROPN
ejpam-6190	181	6	,	,	PUNCT
ejpam-6190	181	7	18	18	NUM
ejpam-6190	181	8	(	(	PUNCT
ejpam-6190	181	9	4	4	NUM
ejpam-6190	181	10	)	)	PUNCT
ejpam-6190	181	11	(	(	PUNCT
ejpam-6190	181	12	2025	2025	NUM
ejpam-6190	181	13	)	)	PUNCT
ejpam-6190	181	14	,	,	PUNCT
ejpam-6190	181	15	6190	6190	NUM
ejpam-6190	181	16	7	7	NUM
ejpam-6190	181	17	of	of	ADP
ejpam-6190	181	18	12	12	NUM
ejpam-6190	181	19	theorem	theorem	NOUN
ejpam-6190	181	20	3	3	X
ejpam-6190	181	21	.	.	PUNCT
ejpam-6190	182	1	let	let	VERB
ejpam-6190	182	2	{	{	PUNCT
ejpam-6190	182	3	sα	sα	ADV
ejpam-6190	182	4	:	:	PUNCT
ejpam-6190	182	5	α	α	PROPN
ejpam-6190	182	6	∈	∈	PROPN
ejpam-6190	183	1	i	i	PRON
ejpam-6190	183	2	}	}	PUNCT
ejpam-6190	183	3	be	be	AUX
ejpam-6190	183	4	a	a	DET
ejpam-6190	183	5	nonempty	nonempty	ADJ
ejpam-6190	183	6	collection	collection	NOUN
ejpam-6190	183	7	of	of	ADP
ejpam-6190	183	8	pseudo	pseudo	NOUN
ejpam-6190	183	9	-	-	ADJ
ejpam-6190	183	10	db	db	NOUN
ejpam-6190	183	11	-	-	PUNCT
ejpam-6190	183	12	subalgebra	subalgebra	NOUN
ejpam-6190	183	13	of	of	ADP
ejpam-6190	183	14	x.	x.	NOUN
ejpam-6190	183	15	then	then	ADV
ejpam-6190	183	16	∩	∩	NOUN
ejpam-6190	183	17	α∈i	α∈i	NOUN
ejpam-6190	183	18	sα	sα	ADV
ejpam-6190	183	19	is	be	AUX
ejpam-6190	183	20	also	also	ADV
ejpam-6190	183	21	a	a	DET
ejpam-6190	183	22	pseudo	pseudo	NOUN
ejpam-6190	183	23	-	-	ADJ
ejpam-6190	183	24	db	db	NOUN
ejpam-6190	183	25	-	-	PUNCT
ejpam-6190	183	26	subalgebra	subalgebra	NOUN
ejpam-6190	183	27	of	of	ADP
ejpam-6190	183	28	x.	x.	NOUN
ejpam-6190	183	29	proof	proof	NOUN
ejpam-6190	183	30	.	.	PUNCT
ejpam-6190	184	1	since	since	SCONJ
ejpam-6190	184	2	sα	sα	ADV
ejpam-6190	184	3	is	be	AUX
ejpam-6190	184	4	a	a	DET
ejpam-6190	184	5	pseudo	pseudo	NOUN
ejpam-6190	184	6	-	-	ADJ
ejpam-6190	184	7	db	db	NOUN
ejpam-6190	184	8	-	-	PUNCT
ejpam-6190	184	9	subalgebra	subalgebra	NOUN
ejpam-6190	184	10	for	for	ADP
ejpam-6190	184	11	each	each	DET
ejpam-6190	184	12	α	α	NOUN
ejpam-6190	184	13	,	,	PUNCT
ejpam-6190	184	14	1	1	NUM
ejpam-6190	184	15	∈	∈	NOUN
ejpam-6190	184	16	sα	sα	ADV
ejpam-6190	184	17	for	for	ADP
ejpam-6190	184	18	all	all	DET
ejpam-6190	184	19	α	α	PRON
ejpam-6190	184	20	∈	∈	PROPN
ejpam-6190	184	21	i.	i.	NOUN
ejpam-6190	184	22	hence	hence	ADV
ejpam-6190	184	23	,	,	PUNCT
ejpam-6190	184	24	1	1	NUM
ejpam-6190	184	25	∈	∈	NOUN
ejpam-6190	184	26	∩	∩	NOUN
ejpam-6190	184	27	α∈i	α∈i	NOUN
ejpam-6190	184	28	sα	sα	ADP
ejpam-6190	184	29	and	and	CCONJ
ejpam-6190	184	30	∩	∩	NOUN
ejpam-6190	184	31	α∈i	α∈i	NOUN
ejpam-6190	184	32	sα	sα	ADV
ejpam-6190	184	33	̸=	̸=	PROPN
ejpam-6190	184	34	∅.	∅.	ADV
ejpam-6190	184	35	let	let	VERB
ejpam-6190	184	36	x	x	PRON
ejpam-6190	184	37	,	,	PUNCT
ejpam-6190	184	38	y	y	PROPN
ejpam-6190	184	39	∈	∈	PROPN
ejpam-6190	184	40	∩	∩	NOUN
ejpam-6190	184	41	α∈i	α∈i	NUM
ejpam-6190	184	42	sα	sα	ADP
ejpam-6190	184	43	.	.	PUNCT
ejpam-6190	185	1	then	then	ADV
ejpam-6190	185	2	x	x	X
ejpam-6190	185	3	,	,	PUNCT
ejpam-6190	185	4	y	y	PROPN
ejpam-6190	185	5	∈	∈	PROPN
ejpam-6190	185	6	sα	sα	ADV
ejpam-6190	185	7	for	for	ADP
ejpam-6190	185	8	all	all	DET
ejpam-6190	185	9	α	α	PRON
ejpam-6190	185	10	∈	∈	PROPN
ejpam-6190	185	11	i.	i.	NOUN
ejpam-6190	185	12	since	since	SCONJ
ejpam-6190	185	13	sα	sα	PROPN
ejpam-6190	185	14	is	be	AUX
ejpam-6190	185	15	a	a	DET
ejpam-6190	185	16	pseudo	pseudo	NOUN
ejpam-6190	185	17	-	-	ADJ
ejpam-6190	185	18	db	db	NOUN
ejpam-6190	185	19	-	-	PUNCT
ejpam-6190	185	20	subalgebra	subalgebra	NOUN
ejpam-6190	185	21	for	for	ADP
ejpam-6190	185	22	each	each	DET
ejpam-6190	185	23	α	α	NOUN
ejpam-6190	185	24	,	,	PUNCT
ejpam-6190	185	25	x•y	x•y	PROPN
ejpam-6190	185	26	,	,	PUNCT
ejpam-6190	185	27	x∗y	x∗y	PROPN
ejpam-6190	185	28	∈	∈	PROPN
ejpam-6190	185	29	sα	sα	ADV
ejpam-6190	185	30	for	for	ADP
ejpam-6190	185	31	all	all	DET
ejpam-6190	185	32	α	α	PRON
ejpam-6190	185	33	∈	∈	PROPN
ejpam-6190	185	34	i.	i.	NOUN
ejpam-6190	185	35	thus	thus	ADV
ejpam-6190	185	36	,	,	PUNCT
ejpam-6190	185	37	x•y	x•y	PROPN
ejpam-6190	185	38	,	,	PUNCT
ejpam-6190	185	39	x∗y	x∗y	PROPN
ejpam-6190	185	40	∈	∈	PROPN
ejpam-6190	185	41	∩	∩	NOUN
ejpam-6190	185	42	α∈i	α∈i	NUM
ejpam-6190	185	43	sα	sα	PROPN
ejpam-6190	185	44	.	.	PUNCT
ejpam-6190	186	1	therefore	therefore	ADV
ejpam-6190	186	2	,	,	PUNCT
ejpam-6190	186	3	∩	∩	NOUN
ejpam-6190	186	4	α∈i	α∈i	NOUN
ejpam-6190	186	5	sα	sα	ADV
ejpam-6190	186	6	is	be	AUX
ejpam-6190	186	7	a	a	DET
ejpam-6190	186	8	pseudo	pseudo	NOUN
ejpam-6190	186	9	-	-	ADJ
ejpam-6190	186	10	db	db	NOUN
ejpam-6190	186	11	-	-	PUNCT
ejpam-6190	186	12	subalgebra	subalgebra	NOUN
ejpam-6190	186	13	of	of	ADP
ejpam-6190	186	14	x.	x.	NOUN
ejpam-6190	186	15	definition	definition	NOUN
ejpam-6190	186	16	6	6	NUM
ejpam-6190	186	17	.	.	PUNCT
ejpam-6190	187	1	let	let	VERB
ejpam-6190	187	2	f	f	PRON
ejpam-6190	187	3	be	be	AUX
ejpam-6190	187	4	a	a	DET
ejpam-6190	187	5	nonempty	nonempty	ADJ
ejpam-6190	187	6	subset	subset	NOUN
ejpam-6190	187	7	of	of	ADP
ejpam-6190	187	8	x.	x.	PROPN
ejpam-6190	187	9	then	then	ADV
ejpam-6190	187	10	f	f	PROPN
ejpam-6190	187	11	is	be	AUX
ejpam-6190	187	12	called	call	VERB
ejpam-6190	187	13	a	a	DET
ejpam-6190	187	14	pseudo	pseudo	NOUN
ejpam-6190	187	15	-	-	ADJ
ejpam-6190	187	16	dual	dual	ADJ
ejpam-6190	187	17	b	b	NOUN
ejpam-6190	187	18	-	-	NOUN
ejpam-6190	187	19	filter	filter	NOUN
ejpam-6190	187	20	(	(	PUNCT
ejpam-6190	187	21	or	or	CCONJ
ejpam-6190	187	22	pseudo	pseudo	NOUN
ejpam-6190	187	23	-	-	ADJ
ejpam-6190	187	24	db	db	ADJ
ejpam-6190	187	25	-	-	PUNCT
ejpam-6190	187	26	filter	filter	NOUN
ejpam-6190	187	27	)	)	PUNCT
ejpam-6190	187	28	of	of	ADP
ejpam-6190	187	29	x	x	PRON
ejpam-6190	187	30	if	if	SCONJ
ejpam-6190	187	31	it	it	PRON
ejpam-6190	187	32	satisfies	satisfy	VERB
ejpam-6190	187	33	the	the	DET
ejpam-6190	187	34	following	following	ADJ
ejpam-6190	187	35	axioms	axiom	NOUN
ejpam-6190	187	36	for	for	ADP
ejpam-6190	187	37	all	all	DET
ejpam-6190	187	38	x	x	NOUN
ejpam-6190	187	39	,	,	PUNCT
ejpam-6190	187	40	y	y	PROPN
ejpam-6190	187	41	in	in	ADP
ejpam-6190	187	42	x	x	NOUN
ejpam-6190	187	43	:	:	PUNCT
ejpam-6190	187	44	(	(	PUNCT
ejpam-6190	187	45	pdbf1	pdbf1	NOUN
ejpam-6190	187	46	)	)	PUNCT
ejpam-6190	187	47	1	1	NUM
ejpam-6190	187	48	∈	∈	PROPN
ejpam-6190	187	49	f	f	NOUN
ejpam-6190	187	50	;	;	PUNCT
ejpam-6190	187	51	and	and	CCONJ
ejpam-6190	187	52	(	(	PUNCT
ejpam-6190	187	53	pdbf2	pdbf2	NOUN
ejpam-6190	187	54	)	)	PUNCT
ejpam-6190	187	55	x	x	SYM
ejpam-6190	188	1	•	•	NUM
ejpam-6190	188	2	y	y	PROPN
ejpam-6190	188	3	∈	∈	PROPN
ejpam-6190	188	4	f	f	PROPN
ejpam-6190	188	5	,	,	PUNCT
ejpam-6190	188	6	x	x	PROPN
ejpam-6190	188	7	∗	∗	NOUN
ejpam-6190	188	8	y	y	PROPN
ejpam-6190	188	9	∈	∈	PROPN
ejpam-6190	188	10	f	f	X
ejpam-6190	188	11	,	,	PUNCT
ejpam-6190	188	12	and	and	CCONJ
ejpam-6190	188	13	x	x	X
ejpam-6190	188	14	∈	∈	NOUN
ejpam-6190	189	1	f	f	X
ejpam-6190	189	2	imply	imply	VERB
ejpam-6190	189	3	y	y	PROPN
ejpam-6190	189	4	∈	∈	PROPN
ejpam-6190	190	1	f	f	PROPN
ejpam-6190	190	2	.	.	PUNCT
ejpam-6190	191	1	lemma	lemma	PROPN
ejpam-6190	192	1	2	2	X
ejpam-6190	192	2	.	.	PUNCT
ejpam-6190	193	1	if	if	SCONJ
ejpam-6190	193	2	f	f	PROPN
ejpam-6190	193	3	is	be	AUX
ejpam-6190	193	4	a	a	DET
ejpam-6190	193	5	pseudo	pseudo	NOUN
ejpam-6190	193	6	-	-	ADJ
ejpam-6190	193	7	db	db	ADJ
ejpam-6190	193	8	-	-	PUNCT
ejpam-6190	193	9	filter	filter	NOUN
ejpam-6190	193	10	of	of	ADP
ejpam-6190	193	11	x	x	NOUN
ejpam-6190	193	12	,	,	PUNCT
ejpam-6190	193	13	then	then	ADV
ejpam-6190	193	14	for	for	ADP
ejpam-6190	193	15	all	all	DET
ejpam-6190	193	16	x	x	NOUN
ejpam-6190	193	17	,	,	PUNCT
ejpam-6190	193	18	y	y	PROPN
ejpam-6190	193	19	,	,	PUNCT
ejpam-6190	193	20	z	z	NOUN
ejpam-6190	193	21	in	in	ADP
ejpam-6190	193	22	x	x	PRON
ejpam-6190	193	23	,	,	PUNCT
ejpam-6190	193	24	(	(	PUNCT
ejpam-6190	193	25	i	i	NOUN
ejpam-6190	193	26	)	)	PUNCT
ejpam-6190	193	27	if	if	SCONJ
ejpam-6190	193	28	x	x	PROPN
ejpam-6190	193	29	≤	≤	ADJ
ejpam-6190	193	30	y	y	PROPN
ejpam-6190	193	31	and	and	CCONJ
ejpam-6190	193	32	x	x	SYM
ejpam-6190	193	33	∈	∈	PROPN
ejpam-6190	193	34	f	f	PROPN
ejpam-6190	193	35	,	,	PUNCT
ejpam-6190	193	36	then	then	ADV
ejpam-6190	193	37	y	y	PROPN
ejpam-6190	193	38	∈	∈	PROPN
ejpam-6190	193	39	f	f	X
ejpam-6190	193	40	;	;	PUNCT
ejpam-6190	193	41	and	and	CCONJ
ejpam-6190	193	42	(	(	PUNCT
ejpam-6190	193	43	ii	ii	NOUN
ejpam-6190	193	44	)	)	PUNCT
ejpam-6190	194	1	if	if	SCONJ
ejpam-6190	194	2	x	x	SYM
ejpam-6190	194	3	≤	≤	X
ejpam-6190	194	4	(	(	PUNCT
ejpam-6190	194	5	y	y	PROPN
ejpam-6190	194	6	•	•	PROPN
ejpam-6190	194	7	z	z	PROPN
ejpam-6190	194	8	)	)	PUNCT
ejpam-6190	194	9	,	,	PUNCT
ejpam-6190	194	10	x	x	SYM
ejpam-6190	194	11	≤	≤	X
ejpam-6190	194	12	(	(	PUNCT
ejpam-6190	194	13	y	y	PROPN
ejpam-6190	194	14	∗	∗	PROPN
ejpam-6190	194	15	z	z	PROPN
ejpam-6190	194	16	)	)	PUNCT
ejpam-6190	194	17	,	,	PUNCT
ejpam-6190	194	18	and	and	CCONJ
ejpam-6190	194	19	x	x	X
ejpam-6190	194	20	,	,	PUNCT
ejpam-6190	194	21	y	y	PROPN
ejpam-6190	194	22	∈	∈	PROPN
ejpam-6190	194	23	f	f	PROPN
ejpam-6190	194	24	,	,	PUNCT
ejpam-6190	194	25	then	then	ADV
ejpam-6190	194	26	z	z	PROPN
ejpam-6190	194	27	∈	∈	PROPN
ejpam-6190	194	28	f	f	X
ejpam-6190	194	29	.	.	PUNCT
ejpam-6190	195	1	proof	proof	NOUN
ejpam-6190	195	2	.	.	PUNCT
ejpam-6190	196	1	let	let	VERB
ejpam-6190	196	2	f	f	PRON
ejpam-6190	196	3	be	be	AUX
ejpam-6190	196	4	a	a	DET
ejpam-6190	196	5	pseudo	pseudo	NOUN
ejpam-6190	196	6	-	-	ADJ
ejpam-6190	196	7	db	db	ADJ
ejpam-6190	196	8	-	-	PUNCT
ejpam-6190	196	9	filter	filter	NOUN
ejpam-6190	196	10	of	of	ADP
ejpam-6190	196	11	x	x	X
ejpam-6190	196	12	and	and	CCONJ
ejpam-6190	196	13	x	x	PROPN
ejpam-6190	196	14	,	,	PUNCT
ejpam-6190	196	15	y	y	PROPN
ejpam-6190	196	16	,	,	PUNCT
ejpam-6190	196	17	z	z	PROPN
ejpam-6190	196	18	∈	∈	PROPN
ejpam-6190	196	19	x.	x.	NOUN
ejpam-6190	196	20	(	(	PUNCT
ejpam-6190	196	21	i	i	NOUN
ejpam-6190	196	22	)	)	PUNCT
ejpam-6190	196	23	suppose	suppose	VERB
ejpam-6190	196	24	x	x	SYM
ejpam-6190	196	25	≤	≤	ADJ
ejpam-6190	196	26	y	y	PROPN
ejpam-6190	196	27	and	and	CCONJ
ejpam-6190	196	28	x	x	SYM
ejpam-6190	196	29	∈	∈	PROPN
ejpam-6190	196	30	f	f	X
ejpam-6190	196	31	.	.	PUNCT
ejpam-6190	197	1	since	since	SCONJ
ejpam-6190	197	2	x	x	PROPN
ejpam-6190	197	3	≤	≤	NUM
ejpam-6190	197	4	y	y	PROPN
ejpam-6190	197	5	,	,	PUNCT
ejpam-6190	197	6	x	x	X
ejpam-6190	197	7	•	•	NUM
ejpam-6190	197	8	y	y	NOUN
ejpam-6190	197	9	=	=	SYM
ejpam-6190	197	10	1	1	NUM
ejpam-6190	197	11	and	and	CCONJ
ejpam-6190	197	12	x	x	NOUN
ejpam-6190	197	13	∗	∗	NOUN
ejpam-6190	197	14	y	y	NOUN
ejpam-6190	197	15	=	=	SYM
ejpam-6190	197	16	1	1	X
ejpam-6190	197	17	.	.	PUNCT
ejpam-6190	197	18	by	by	ADP
ejpam-6190	197	19	(	(	PUNCT
ejpam-6190	197	20	pdbf1	pdbf1	PROPN
ejpam-6190	197	21	)	)	PUNCT
ejpam-6190	197	22	,	,	PUNCT
ejpam-6190	197	23	1	1	NUM
ejpam-6190	197	24	∈	∈	PROPN
ejpam-6190	197	25	f	f	NOUN
ejpam-6190	197	26	.	.	PUNCT
ejpam-6190	198	1	hence	hence	ADV
ejpam-6190	198	2	,	,	PUNCT
ejpam-6190	198	3	x	x	X
ejpam-6190	198	4	•	•	NUM
ejpam-6190	198	5	y	y	PROPN
ejpam-6190	198	6	∈	∈	PROPN
ejpam-6190	198	7	f	f	PROPN
ejpam-6190	198	8	and	and	CCONJ
ejpam-6190	198	9	x	x	PROPN
ejpam-6190	198	10	∗	∗	NOUN
ejpam-6190	198	11	y	y	PROPN
ejpam-6190	198	12	∈	∈	PROPN
ejpam-6190	198	13	f	f	PROPN
ejpam-6190	198	14	.	.	PUNCT
ejpam-6190	199	1	thus	thus	ADV
ejpam-6190	199	2	,	,	PUNCT
ejpam-6190	199	3	y	y	PROPN
ejpam-6190	199	4	∈	∈	PROPN
ejpam-6190	199	5	f	f	X
ejpam-6190	199	6	by	by	ADP
ejpam-6190	199	7	(	(	PUNCT
ejpam-6190	199	8	pdbf2	pdbf2	NOUN
ejpam-6190	199	9	)	)	PUNCT
ejpam-6190	199	10	.	.	PUNCT
ejpam-6190	200	1	(	(	PUNCT
ejpam-6190	200	2	ii	ii	NOUN
ejpam-6190	200	3	)	)	PUNCT
ejpam-6190	200	4	suppose	suppose	VERB
ejpam-6190	200	5	x	x	SYM
ejpam-6190	200	6	≤	≤	X
ejpam-6190	200	7	(	(	PUNCT
ejpam-6190	200	8	y	y	PROPN
ejpam-6190	200	9	•	•	PROPN
ejpam-6190	200	10	z	z	PROPN
ejpam-6190	200	11	)	)	PUNCT
ejpam-6190	200	12	,	,	PUNCT
ejpam-6190	200	13	x	x	SYM
ejpam-6190	200	14	≤	≤	X
ejpam-6190	200	15	(	(	PUNCT
ejpam-6190	200	16	y	y	PROPN
ejpam-6190	200	17	∗	∗	PROPN
ejpam-6190	200	18	z	z	PROPN
ejpam-6190	200	19	)	)	PUNCT
ejpam-6190	200	20	,	,	PUNCT
ejpam-6190	200	21	and	and	CCONJ
ejpam-6190	200	22	x	x	X
ejpam-6190	200	23	,	,	PUNCT
ejpam-6190	200	24	y	y	PROPN
ejpam-6190	200	25	∈	∈	PROPN
ejpam-6190	200	26	f	f	X
ejpam-6190	200	27	.	.	PUNCT
ejpam-6190	201	1	by	by	ADP
ejpam-6190	201	2	(	(	PUNCT
ejpam-6190	201	3	i	i	NOUN
ejpam-6190	201	4	)	)	PUNCT
ejpam-6190	201	5	,	,	PUNCT
ejpam-6190	201	6	y	y	PROPN
ejpam-6190	201	7	•	•	PROPN
ejpam-6190	201	8	z	z	PROPN
ejpam-6190	201	9	,	,	PUNCT
ejpam-6190	201	10	y	y	PROPN
ejpam-6190	201	11	∗	∗	NOUN
ejpam-6190	201	12	z	z	PROPN
ejpam-6190	201	13	∈	∈	PROPN
ejpam-6190	201	14	f	f	PROPN
ejpam-6190	201	15	.	.	PUNCT
ejpam-6190	202	1	since	since	SCONJ
ejpam-6190	202	2	y	y	PROPN
ejpam-6190	202	3	•	•	PROPN
ejpam-6190	202	4	z	z	PROPN
ejpam-6190	202	5	,	,	PUNCT
ejpam-6190	202	6	y	y	PROPN
ejpam-6190	202	7	∗	∗	PROPN
ejpam-6190	202	8	z	z	PROPN
ejpam-6190	202	9	,	,	PUNCT
ejpam-6190	202	10	y	y	PROPN
ejpam-6190	202	11	∈	∈	PROPN
ejpam-6190	202	12	f	f	PROPN
ejpam-6190	202	13	,	,	PUNCT
ejpam-6190	202	14	z	z	PROPN
ejpam-6190	202	15	∈	∈	PROPN
ejpam-6190	202	16	f	f	X
ejpam-6190	202	17	by	by	ADP
ejpam-6190	202	18	(	(	PUNCT
ejpam-6190	202	19	pdbf2	pdbf2	NOUN
ejpam-6190	202	20	)	)	PUNCT
ejpam-6190	202	21	.	.	PUNCT
ejpam-6190	202	22	theorem	theorem	ADJ
ejpam-6190	202	23	4	4	NUM
ejpam-6190	202	24	.	.	PUNCT
ejpam-6190	203	1	let	let	VERB
ejpam-6190	203	2	f	f	PRON
ejpam-6190	203	3	be	be	AUX
ejpam-6190	203	4	a	a	DET
ejpam-6190	203	5	subset	subset	NOUN
ejpam-6190	203	6	of	of	ADP
ejpam-6190	203	7	x	x	PUNCT
ejpam-6190	203	8	containing	contain	VERB
ejpam-6190	203	9	1	1	NUM
ejpam-6190	203	10	.	.	PUNCT
ejpam-6190	204	1	then	then	ADV
ejpam-6190	204	2	f	f	PROPN
ejpam-6190	204	3	is	be	AUX
ejpam-6190	204	4	a	a	DET
ejpam-6190	204	5	pseudo	pseudo	NOUN
ejpam-6190	204	6	-	-	ADJ
ejpam-6190	204	7	db	db	ADJ
ejpam-6190	204	8	-	-	PUNCT
ejpam-6190	204	9	filter	filter	NOUN
ejpam-6190	204	10	of	of	ADP
ejpam-6190	204	11	x	x	SYM
ejpam-6190	204	12	if	if	SCONJ
ejpam-6190	204	13	and	and	CCONJ
ejpam-6190	204	14	only	only	ADV
ejpam-6190	204	15	if	if	SCONJ
ejpam-6190	204	16	for	for	ADP
ejpam-6190	204	17	all	all	DET
ejpam-6190	204	18	x	x	NOUN
ejpam-6190	204	19	,	,	PUNCT
ejpam-6190	204	20	y	y	PROPN
ejpam-6190	204	21	,	,	PUNCT
ejpam-6190	204	22	z	z	NOUN
ejpam-6190	204	23	in	in	ADP
ejpam-6190	204	24	x	x	SYM
ejpam-6190	204	25	,	,	PUNCT
ejpam-6190	205	1	if	if	SCONJ
ejpam-6190	205	2	x	x	SYM
ejpam-6190	205	3	≤	≤	X
ejpam-6190	205	4	(	(	PUNCT
ejpam-6190	205	5	y	y	PROPN
ejpam-6190	205	6	•	•	PROPN
ejpam-6190	205	7	z	z	PROPN
ejpam-6190	205	8	)	)	PUNCT
ejpam-6190	205	9	,	,	PUNCT
ejpam-6190	205	10	x	x	SYM
ejpam-6190	205	11	≤	≤	X
ejpam-6190	205	12	(	(	PUNCT
ejpam-6190	205	13	y	y	PROPN
ejpam-6190	205	14	∗	∗	PROPN
ejpam-6190	205	15	z	z	PROPN
ejpam-6190	205	16	)	)	PUNCT
ejpam-6190	205	17	,	,	PUNCT
ejpam-6190	205	18	and	and	CCONJ
ejpam-6190	205	19	x	x	X
ejpam-6190	205	20	,	,	PUNCT
ejpam-6190	205	21	y	y	PROPN
ejpam-6190	205	22	∈	∈	PROPN
ejpam-6190	205	23	f	f	PROPN
ejpam-6190	205	24	,	,	PUNCT
ejpam-6190	205	25	then	then	ADV
ejpam-6190	205	26	z	z	PROPN
ejpam-6190	205	27	∈	∈	PROPN
ejpam-6190	205	28	f	f	X
ejpam-6190	205	29	.	.	PUNCT
ejpam-6190	206	1	proof	proof	NOUN
ejpam-6190	206	2	.	.	PUNCT
ejpam-6190	207	1	let	let	VERB
ejpam-6190	207	2	f	f	PRON
ejpam-6190	207	3	be	be	AUX
ejpam-6190	207	4	a	a	DET
ejpam-6190	207	5	subset	subset	NOUN
ejpam-6190	207	6	of	of	ADP
ejpam-6190	207	7	x	x	PUNCT
ejpam-6190	207	8	containing	contain	VERB
ejpam-6190	207	9	1	1	NUM
ejpam-6190	207	10	.	.	PUNCT
ejpam-6190	208	1	suppose	suppose	VERB
ejpam-6190	208	2	f	f	PROPN
ejpam-6190	208	3	is	be	AUX
ejpam-6190	208	4	a	a	DET
ejpam-6190	208	5	pseudo	pseudo	NOUN
ejpam-6190	208	6	-	-	ADJ
ejpam-6190	208	7	db	db	ADJ
ejpam-6190	208	8	-	-	PUNCT
ejpam-6190	208	9	filter	filter	NOUN
ejpam-6190	208	10	of	of	ADP
ejpam-6190	208	11	x.	x.	NOUN
ejpam-6190	208	12	then	then	ADV
ejpam-6190	208	13	for	for	ADP
ejpam-6190	208	14	all	all	DET
ejpam-6190	208	15	x	x	NOUN
ejpam-6190	208	16	,	,	PUNCT
ejpam-6190	208	17	y	y	PROPN
ejpam-6190	208	18	,	,	PUNCT
ejpam-6190	208	19	z	z	NOUN
ejpam-6190	208	20	in	in	ADP
ejpam-6190	208	21	x	x	SYM
ejpam-6190	208	22	,	,	PUNCT
ejpam-6190	208	23	if	if	SCONJ
ejpam-6190	208	24	x	x	SYM
ejpam-6190	208	25	≤	≤	X
ejpam-6190	208	26	(	(	PUNCT
ejpam-6190	208	27	y	y	PROPN
ejpam-6190	208	28	•	•	PROPN
ejpam-6190	208	29	z	z	PROPN
ejpam-6190	208	30	)	)	PUNCT
ejpam-6190	208	31	,	,	PUNCT
ejpam-6190	208	32	x	x	SYM
ejpam-6190	208	33	≤	≤	X
ejpam-6190	208	34	(	(	PUNCT
ejpam-6190	208	35	y	y	PROPN
ejpam-6190	208	36	∗	∗	PROPN
ejpam-6190	208	37	z	z	PROPN
ejpam-6190	208	38	)	)	PUNCT
ejpam-6190	208	39	,	,	PUNCT
ejpam-6190	208	40	and	and	CCONJ
ejpam-6190	208	41	x	x	X
ejpam-6190	208	42	,	,	PUNCT
ejpam-6190	208	43	y	y	PROPN
ejpam-6190	208	44	∈	∈	PROPN
ejpam-6190	208	45	f	f	PROPN
ejpam-6190	208	46	,	,	PUNCT
ejpam-6190	208	47	then	then	ADV
ejpam-6190	208	48	z	z	PROPN
ejpam-6190	208	49	∈	∈	PROPN
ejpam-6190	208	50	f	f	X
ejpam-6190	208	51	by	by	ADP
ejpam-6190	208	52	lemma	lemma	PROPN
ejpam-6190	208	53	2	2	PROPN
ejpam-6190	208	54	(	(	PUNCT
ejpam-6190	208	55	ii	ii	NOUN
ejpam-6190	208	56	)	)	PUNCT
ejpam-6190	208	57	.	.	PUNCT
ejpam-6190	209	1	conversely	conversely	ADV
ejpam-6190	209	2	,	,	PUNCT
ejpam-6190	209	3	1	1	NUM
ejpam-6190	209	4	∈	∈	PROPN
ejpam-6190	209	5	f	f	X
ejpam-6190	209	6	by	by	ADP
ejpam-6190	209	7	assumption	assumption	NOUN
ejpam-6190	209	8	.	.	PUNCT
ejpam-6190	210	1	hence	hence	ADV
ejpam-6190	210	2	,	,	PUNCT
ejpam-6190	210	3	(	(	PUNCT
ejpam-6190	210	4	pdbf1	pdbf1	NOUN
ejpam-6190	210	5	)	)	PUNCT
ejpam-6190	210	6	holds	hold	VERB
ejpam-6190	210	7	.	.	PUNCT
ejpam-6190	211	1	let	let	VERB
ejpam-6190	211	2	x	x	PRON
ejpam-6190	211	3	,	,	PUNCT
ejpam-6190	211	4	x	x	PROPN
ejpam-6190	211	5	•	•	NUM
ejpam-6190	211	6	y	y	PROPN
ejpam-6190	211	7	,	,	PUNCT
ejpam-6190	211	8	x	x	PUNCT
ejpam-6190	212	1	∗	∗	NOUN
ejpam-6190	212	2	y	y	PROPN
ejpam-6190	212	3	∈	∈	PROPN
ejpam-6190	212	4	f	f	PROPN
ejpam-6190	212	5	and	and	CCONJ
ejpam-6190	212	6	y	y	PROPN
ejpam-6190	212	7	∈	∈	PROPN
ejpam-6190	212	8	x.	x.	NOUN
ejpam-6190	212	9	by	by	ADP
ejpam-6190	212	10	(	(	PUNCT
ejpam-6190	212	11	pdb1	pdb1	PROPN
ejpam-6190	212	12	)	)	PUNCT
ejpam-6190	212	13	,	,	PUNCT
ejpam-6190	212	14	(	(	PUNCT
ejpam-6190	212	15	x	x	X
ejpam-6190	212	16	•	•	NUM
ejpam-6190	212	17	y	y	NOUN
ejpam-6190	212	18	)	)	PUNCT
ejpam-6190	212	19	•	•	NOUN
ejpam-6190	212	20	(	(	PUNCT
ejpam-6190	212	21	x	x	SYM
ejpam-6190	212	22	•	•	NUM
ejpam-6190	212	23	y	y	NOUN
ejpam-6190	212	24	)	)	PUNCT
ejpam-6190	213	1	=	=	SYM
ejpam-6190	213	2	1	1	NUM
ejpam-6190	213	3	,	,	PUNCT
ejpam-6190	213	4	(	(	PUNCT
ejpam-6190	213	5	x	x	SYM
ejpam-6190	213	6	•	•	NUM
ejpam-6190	213	7	y	y	NOUN
ejpam-6190	213	8	)	)	PUNCT
ejpam-6190	213	9	∗	∗	NOUN
ejpam-6190	213	10	(	(	PUNCT
ejpam-6190	213	11	x	x	SYM
ejpam-6190	213	12	•	•	NUM
ejpam-6190	213	13	y	y	NOUN
ejpam-6190	213	14	)	)	PUNCT
ejpam-6190	214	1	=	=	SYM
ejpam-6190	214	2	1	1	NUM
ejpam-6190	214	3	,	,	PUNCT
ejpam-6190	214	4	(	(	PUNCT
ejpam-6190	214	5	x	x	X
ejpam-6190	214	6	∗	∗	PROPN
ejpam-6190	214	7	y	y	NOUN
ejpam-6190	214	8	)	)	PUNCT
ejpam-6190	214	9	•	•	NOUN
ejpam-6190	214	10	(	(	PUNCT
ejpam-6190	214	11	x	x	X
ejpam-6190	214	12	∗	∗	NOUN
ejpam-6190	214	13	y	y	NOUN
ejpam-6190	214	14	)	)	PUNCT
ejpam-6190	214	15	=	=	SYM
ejpam-6190	215	1	1	1	NUM
ejpam-6190	215	2	,	,	PUNCT
ejpam-6190	215	3	and	and	CCONJ
ejpam-6190	215	4	(	(	PUNCT
ejpam-6190	215	5	x	x	PROPN
ejpam-6190	215	6	∗	∗	PROPN
ejpam-6190	215	7	y	y	NOUN
ejpam-6190	215	8	)	)	PUNCT
ejpam-6190	215	9	∗	∗	NOUN
ejpam-6190	215	10	(	(	PUNCT
ejpam-6190	215	11	x	x	X
ejpam-6190	215	12	∗	∗	PROPN
ejpam-6190	215	13	y	y	NOUN
ejpam-6190	215	14	)	)	PUNCT
ejpam-6190	216	1	=	=	SYM
ejpam-6190	216	2	1	1	X
ejpam-6190	216	3	.	.	PUNCT
ejpam-6190	217	1	hence	hence	ADV
ejpam-6190	217	2	,	,	PUNCT
ejpam-6190	217	3	(	(	PUNCT
ejpam-6190	217	4	x	x	X
ejpam-6190	217	5	•	•	NUM
ejpam-6190	217	6	y	y	NOUN
ejpam-6190	217	7	)	)	PUNCT
ejpam-6190	217	8	≤	≤	NOUN
ejpam-6190	217	9	(	(	PUNCT
ejpam-6190	217	10	x	x	SYM
ejpam-6190	217	11	•	•	NUM
ejpam-6190	217	12	y	y	NOUN
ejpam-6190	217	13	)	)	PUNCT
ejpam-6190	217	14	and	and	CCONJ
ejpam-6190	217	15	(	(	PUNCT
ejpam-6190	217	16	x	x	PROPN
ejpam-6190	217	17	∗	∗	PROPN
ejpam-6190	217	18	y	y	NOUN
ejpam-6190	217	19	)	)	PUNCT
ejpam-6190	217	20	≤	≤	NOUN
ejpam-6190	217	21	(	(	PUNCT
ejpam-6190	217	22	x	x	X
ejpam-6190	217	23	∗	∗	NOUN
ejpam-6190	217	24	y	y	PROPN
ejpam-6190	217	25	)	)	PUNCT
ejpam-6190	217	26	.	.	PUNCT
ejpam-6190	218	1	since	since	SCONJ
ejpam-6190	218	2	x	x	X
ejpam-6190	218	3	,	,	PUNCT
ejpam-6190	218	4	x	x	PROPN
ejpam-6190	218	5	•	•	NUM
ejpam-6190	218	6	y	y	PROPN
ejpam-6190	218	7	,	,	PUNCT
ejpam-6190	218	8	x	x	PUNCT
ejpam-6190	218	9	∗	∗	NOUN
ejpam-6190	218	10	y	y	PROPN
ejpam-6190	218	11	∈	∈	PROPN
ejpam-6190	219	1	f	f	PROPN
ejpam-6190	219	2	,	,	PUNCT
ejpam-6190	219	3	y	y	PROPN
ejpam-6190	219	4	∈	∈	PROPN
ejpam-6190	219	5	f	f	PROPN
ejpam-6190	219	6	.	.	PUNCT
ejpam-6190	220	1	thus	thus	ADV
ejpam-6190	220	2	,	,	PUNCT
ejpam-6190	220	3	(	(	PUNCT
ejpam-6190	220	4	pdbf2	pdbf2	NOUN
ejpam-6190	220	5	)	)	PUNCT
ejpam-6190	220	6	holds	hold	VERB
ejpam-6190	220	7	.	.	PUNCT
ejpam-6190	221	1	therefore	therefore	ADV
ejpam-6190	221	2	,	,	PUNCT
ejpam-6190	221	3	f	f	PROPN
ejpam-6190	221	4	is	be	AUX
ejpam-6190	221	5	a	a	DET
ejpam-6190	221	6	pseudo	pseudo	NOUN
ejpam-6190	221	7	-	-	ADJ
ejpam-6190	221	8	db	db	ADJ
ejpam-6190	221	9	-	-	PUNCT
ejpam-6190	221	10	filter	filter	NOUN
ejpam-6190	221	11	of	of	ADP
ejpam-6190	221	12	x.	x.	NOUN
ejpam-6190	221	13	proposition	proposition	PROPN
ejpam-6190	221	14	5	5	NUM
ejpam-6190	221	15	.	.	PUNCT
ejpam-6190	222	1	let	let	VERB
ejpam-6190	222	2	f	f	PRON
ejpam-6190	222	3	be	be	AUX
ejpam-6190	222	4	a	a	DET
ejpam-6190	222	5	pseudo	pseudo	NOUN
ejpam-6190	222	6	-	-	ADJ
ejpam-6190	222	7	db	db	ADJ
ejpam-6190	222	8	-	-	PUNCT
ejpam-6190	222	9	filter	filter	NOUN
ejpam-6190	222	10	of	of	ADP
ejpam-6190	222	11	x.	x.	NOUN
ejpam-6190	222	12	if	if	SCONJ
ejpam-6190	222	13	g	g	PROPN
ejpam-6190	222	14	is	be	AUX
ejpam-6190	222	15	a	a	DET
ejpam-6190	222	16	pseudo	pseudo	NOUN
ejpam-6190	222	17	-	-	ADJ
ejpam-6190	222	18	db	db	ADJ
ejpam-6190	222	19	-	-	PUNCT
ejpam-6190	222	20	filter	filter	NOUN
ejpam-6190	222	21	of	of	ADP
ejpam-6190	222	22	f	f	PROPN
ejpam-6190	222	23	,	,	PUNCT
ejpam-6190	222	24	then	then	ADV
ejpam-6190	222	25	g	g	PROPN
ejpam-6190	222	26	is	be	AUX
ejpam-6190	222	27	a	a	DET
ejpam-6190	222	28	pseudo	pseudo	NOUN
ejpam-6190	222	29	-	-	ADJ
ejpam-6190	222	30	db	db	ADJ
ejpam-6190	222	31	-	-	PUNCT
ejpam-6190	222	32	filter	filter	NOUN
ejpam-6190	222	33	of	of	ADP
ejpam-6190	222	34	x	x	PRON
ejpam-6190	222	35	as	as	ADV
ejpam-6190	222	36	well	well	ADV
ejpam-6190	222	37	.	.	PUNCT
ejpam-6190	223	1	j.	j.	PROPN
ejpam-6190	223	2	m.	m.	PROPN
ejpam-6190	223	3	s.	s.	PROPN
ejpam-6190	223	4	leuveras	leuveras	PROPN
ejpam-6190	223	5	,	,	PUNCT
ejpam-6190	223	6	k.	k.	PROPN
ejpam-6190	223	7	b.	b.	PROPN
ejpam-6190	223	8	fuentes	fuentes	PROPN
ejpam-6190	223	9	/	/	SYM
ejpam-6190	223	10	eur	eur	PROPN
ejpam-6190	223	11	.	.	PUNCT
ejpam-6190	224	1	j.	j.	PROPN
ejpam-6190	224	2	pure	pure	PROPN
ejpam-6190	224	3	appl	appl	PROPN
ejpam-6190	224	4	.	.	PROPN
ejpam-6190	224	5	math	math	PROPN
ejpam-6190	224	6	,	,	PUNCT
ejpam-6190	224	7	18	18	NUM
ejpam-6190	224	8	(	(	PUNCT
ejpam-6190	224	9	4	4	NUM
ejpam-6190	224	10	)	)	PUNCT
ejpam-6190	224	11	(	(	PUNCT
ejpam-6190	224	12	2025	2025	NUM
ejpam-6190	224	13	)	)	PUNCT
ejpam-6190	224	14	,	,	PUNCT
ejpam-6190	224	15	6190	6190	NUM
ejpam-6190	224	16	8	8	NUM
ejpam-6190	224	17	of	of	ADP
ejpam-6190	224	18	12	12	NUM
ejpam-6190	224	19	proof	proof	NOUN
ejpam-6190	224	20	.	.	PUNCT
ejpam-6190	225	1	suppose	suppose	VERB
ejpam-6190	225	2	g	g	PROPN
ejpam-6190	225	3	is	be	AUX
ejpam-6190	225	4	a	a	DET
ejpam-6190	225	5	pseudo	pseudo	NOUN
ejpam-6190	225	6	-	-	ADJ
ejpam-6190	225	7	db	db	ADJ
ejpam-6190	225	8	-	-	PUNCT
ejpam-6190	225	9	filter	filter	NOUN
ejpam-6190	225	10	of	of	ADP
ejpam-6190	225	11	f	f	PROPN
ejpam-6190	225	12	.	.	PUNCT
ejpam-6190	226	1	then	then	ADV
ejpam-6190	226	2	1	1	NUM
ejpam-6190	226	3	∈	∈	NOUN
ejpam-6190	226	4	g	g	NOUN
ejpam-6190	226	5	by	by	ADP
ejpam-6190	226	6	(	(	PUNCT
ejpam-6190	226	7	pdbf1	pdbf1	PROPN
ejpam-6190	226	8	)	)	PUNCT
ejpam-6190	226	9	.	.	PUNCT
ejpam-6190	227	1	let	let	VERB
ejpam-6190	227	2	x	x	PRON
ejpam-6190	227	3	,	,	PUNCT
ejpam-6190	227	4	x	x	PROPN
ejpam-6190	227	5	•	•	NUM
ejpam-6190	227	6	y	y	PROPN
ejpam-6190	227	7	,	,	PUNCT
ejpam-6190	227	8	x	x	PUNCT
ejpam-6190	227	9	∗	∗	NOUN
ejpam-6190	227	10	y	y	PROPN
ejpam-6190	227	11	∈	∈	PROPN
ejpam-6190	227	12	g	g	PROPN
ejpam-6190	227	13	for	for	ADP
ejpam-6190	227	14	any	any	DET
ejpam-6190	227	15	y	y	PROPN
ejpam-6190	227	16	∈	∈	PROPN
ejpam-6190	227	17	x.	x.	NOUN
ejpam-6190	227	18	note	note	VERB
ejpam-6190	227	19	that	that	SCONJ
ejpam-6190	227	20	x	x	X
ejpam-6190	227	21	,	,	PUNCT
ejpam-6190	227	22	x	x	PROPN
ejpam-6190	227	23	•	•	NUM
ejpam-6190	227	24	y	y	PROPN
ejpam-6190	227	25	,	,	PUNCT
ejpam-6190	227	26	x	x	PUNCT
ejpam-6190	227	27	∗	∗	NOUN
ejpam-6190	227	28	y	y	PROPN
ejpam-6190	227	29	∈	∈	PROPN
ejpam-6190	227	30	g	g	PROPN
ejpam-6190	227	31	⊆	⊆	NUM
ejpam-6190	227	32	f	f	NOUN
ejpam-6190	227	33	.	.	PUNCT
ejpam-6190	228	1	hence	hence	ADV
ejpam-6190	228	2	,	,	PUNCT
ejpam-6190	228	3	x	x	X
ejpam-6190	228	4	,	,	PUNCT
ejpam-6190	228	5	x	x	SYM
ejpam-6190	228	6	•	•	NUM
ejpam-6190	228	7	y	y	PROPN
ejpam-6190	228	8	,	,	PUNCT
ejpam-6190	228	9	x	x	PUNCT
ejpam-6190	228	10	∗	∗	NOUN
ejpam-6190	228	11	y	y	PROPN
ejpam-6190	228	12	∈	∈	PROPN
ejpam-6190	229	1	f	f	PROPN
ejpam-6190	229	2	.	.	PUNCT
ejpam-6190	230	1	since	since	SCONJ
ejpam-6190	230	2	f	f	PROPN
ejpam-6190	230	3	is	be	AUX
ejpam-6190	230	4	a	a	DET
ejpam-6190	230	5	pseudo	pseudo	NOUN
ejpam-6190	230	6	-	-	ADJ
ejpam-6190	230	7	db	db	ADJ
ejpam-6190	230	8	-	-	PUNCT
ejpam-6190	230	9	filter	filter	NOUN
ejpam-6190	230	10	of	of	ADP
ejpam-6190	230	11	x	x	PROPN
ejpam-6190	230	12	,	,	PUNCT
ejpam-6190	230	13	y	y	PROPN
ejpam-6190	230	14	∈	∈	PROPN
ejpam-6190	230	15	f	f	X
ejpam-6190	230	16	by	by	ADP
ejpam-6190	230	17	(	(	PUNCT
ejpam-6190	230	18	pdbf2	pdbf2	NOUN
ejpam-6190	230	19	)	)	PUNCT
ejpam-6190	230	20	.	.	PUNCT
ejpam-6190	231	1	now	now	ADV
ejpam-6190	231	2	,	,	PUNCT
ejpam-6190	231	3	y	y	PROPN
ejpam-6190	231	4	∈	∈	PROPN
ejpam-6190	231	5	f	f	PROPN
ejpam-6190	231	6	implies	imply	VERB
ejpam-6190	231	7	y	y	PROPN
ejpam-6190	231	8	∈	∈	PROPN
ejpam-6190	231	9	g	g	PROPN
ejpam-6190	231	10	since	since	SCONJ
ejpam-6190	231	11	g	g	PROPN
ejpam-6190	231	12	is	be	AUX
ejpam-6190	231	13	a	a	DET
ejpam-6190	231	14	pseudo	pseudo	NOUN
ejpam-6190	231	15	-	-	ADJ
ejpam-6190	231	16	db	db	ADJ
ejpam-6190	231	17	-	-	PUNCT
ejpam-6190	231	18	filter	filter	NOUN
ejpam-6190	231	19	of	of	ADP
ejpam-6190	231	20	f	f	PROPN
ejpam-6190	231	21	.	.	PUNCT
ejpam-6190	232	1	therefore	therefore	ADV
ejpam-6190	232	2	,	,	PUNCT
ejpam-6190	232	3	g	g	PROPN
ejpam-6190	232	4	is	be	AUX
ejpam-6190	232	5	a	a	DET
ejpam-6190	232	6	pseudo	pseudo	NOUN
ejpam-6190	232	7	-	-	ADJ
ejpam-6190	232	8	db	db	ADJ
ejpam-6190	232	9	-	-	PUNCT
ejpam-6190	232	10	filter	filter	NOUN
ejpam-6190	232	11	of	of	ADP
ejpam-6190	232	12	x	x	PRON
ejpam-6190	232	13	as	as	ADV
ejpam-6190	232	14	well	well	ADV
ejpam-6190	232	15	.	.	PUNCT
ejpam-6190	233	1	the	the	DET
ejpam-6190	233	2	next	next	ADJ
ejpam-6190	233	3	theorem	theorem	NOUN
ejpam-6190	233	4	shows	show	VERB
ejpam-6190	233	5	that	that	SCONJ
ejpam-6190	233	6	the	the	DET
ejpam-6190	233	7	intersection	intersection	NOUN
ejpam-6190	233	8	of	of	ADP
ejpam-6190	233	9	a	a	DET
ejpam-6190	233	10	nonempty	nonempty	ADJ
ejpam-6190	233	11	collection	collection	NOUN
ejpam-6190	233	12	of	of	ADP
ejpam-6190	233	13	pseudo	pseudo	NOUN
ejpam-6190	233	14	-	-	NOUN
ejpam-6190	233	15	dbfilter	dbfilter	NOUN
ejpam-6190	233	16	of	of	ADP
ejpam-6190	233	17	x	x	PUNCT
ejpam-6190	233	18	is	be	AUX
ejpam-6190	233	19	a	a	DET
ejpam-6190	233	20	pseudo	pseudo	NOUN
ejpam-6190	233	21	-	-	ADJ
ejpam-6190	233	22	db	db	ADJ
ejpam-6190	233	23	-	-	PUNCT
ejpam-6190	233	24	filter	filter	NOUN
ejpam-6190	233	25	.	.	PUNCT
ejpam-6190	234	1	theorem	theorem	NOUN
ejpam-6190	234	2	5	5	NUM
ejpam-6190	234	3	.	.	PUNCT
ejpam-6190	235	1	let	let	VERB
ejpam-6190	235	2	{	{	PUNCT
ejpam-6190	235	3	fα	fα	PART
ejpam-6190	235	4	:	:	PUNCT
ejpam-6190	235	5	α	α	PROPN
ejpam-6190	235	6	∈	∈	PROPN
ejpam-6190	236	1	i	i	PRON
ejpam-6190	236	2	}	}	PUNCT
ejpam-6190	236	3	be	be	AUX
ejpam-6190	236	4	a	a	DET
ejpam-6190	236	5	nonempty	nonempty	ADJ
ejpam-6190	236	6	collection	collection	NOUN
ejpam-6190	236	7	of	of	ADP
ejpam-6190	236	8	pseudo	pseudo	NOUN
ejpam-6190	236	9	-	-	ADJ
ejpam-6190	236	10	db	db	NOUN
ejpam-6190	236	11	-	-	PUNCT
ejpam-6190	236	12	filter	filter	NOUN
ejpam-6190	236	13	of	of	ADP
ejpam-6190	236	14	x.	x.	NOUN
ejpam-6190	236	15	then∩	then∩	NUM
ejpam-6190	236	16	α∈i	α∈i	NUM
ejpam-6190	236	17	fα	fα	NOUN
ejpam-6190	236	18	is	be	AUX
ejpam-6190	236	19	also	also	ADV
ejpam-6190	236	20	a	a	DET
ejpam-6190	236	21	pseudo	pseudo	NOUN
ejpam-6190	236	22	-	-	ADJ
ejpam-6190	236	23	db	db	NOUN
ejpam-6190	236	24	-	-	PUNCT
ejpam-6190	236	25	filter	filter	NOUN
ejpam-6190	236	26	of	of	ADP
ejpam-6190	236	27	x.	x.	NOUN
ejpam-6190	236	28	proof	proof	NOUN
ejpam-6190	236	29	.	.	PUNCT
ejpam-6190	237	1	let	let	VERB
ejpam-6190	237	2	{	{	PUNCT
ejpam-6190	237	3	fα	fα	PART
ejpam-6190	237	4	:	:	PUNCT
ejpam-6190	237	5	α	α	PROPN
ejpam-6190	237	6	∈	∈	PROPN
ejpam-6190	238	1	i	i	PRON
ejpam-6190	238	2	}	}	PUNCT
ejpam-6190	238	3	be	be	AUX
ejpam-6190	238	4	a	a	DET
ejpam-6190	238	5	nonempty	nonempty	ADJ
ejpam-6190	238	6	collection	collection	NOUN
ejpam-6190	238	7	of	of	ADP
ejpam-6190	238	8	pseudo	pseudo	NOUN
ejpam-6190	238	9	-	-	ADJ
ejpam-6190	238	10	db	db	NOUN
ejpam-6190	238	11	-	-	PUNCT
ejpam-6190	238	12	filter	filter	NOUN
ejpam-6190	238	13	of	of	ADP
ejpam-6190	238	14	x.	x.	NOUN
ejpam-6190	238	15	since	since	SCONJ
ejpam-6190	238	16	fα	fα	ADV
ejpam-6190	238	17	is	be	AUX
ejpam-6190	238	18	a	a	DET
ejpam-6190	238	19	pseudo	pseudo	NOUN
ejpam-6190	238	20	-	-	ADJ
ejpam-6190	238	21	db	db	ADJ
ejpam-6190	238	22	-	-	PUNCT
ejpam-6190	238	23	filter	filter	NOUN
ejpam-6190	238	24	for	for	ADP
ejpam-6190	238	25	each	each	DET
ejpam-6190	238	26	α	α	NOUN
ejpam-6190	238	27	,	,	PUNCT
ejpam-6190	238	28	1	1	NUM
ejpam-6190	238	29	∈	∈	NOUN
ejpam-6190	238	30	fα	fα	NOUN
ejpam-6190	238	31	for	for	ADP
ejpam-6190	238	32	all	all	DET
ejpam-6190	238	33	α	α	PRON
ejpam-6190	238	34	∈	∈	PROPN
ejpam-6190	238	35	i.	i.	NOUN
ejpam-6190	238	36	hence	hence	ADV
ejpam-6190	238	37	,	,	PUNCT
ejpam-6190	238	38	1	1	NUM
ejpam-6190	238	39	∈	∈	NOUN
ejpam-6190	238	40	∩	∩	NOUN
ejpam-6190	238	41	α∈i	α∈i	NUM
ejpam-6190	238	42	fα	fα	NOUN
ejpam-6190	238	43	and	and	CCONJ
ejpam-6190	238	44	∩	∩	NOUN
ejpam-6190	238	45	α∈i	α∈i	NUM
ejpam-6190	238	46	fα	fα	ADP
ejpam-6190	238	47	̸=	̸=	PROPN
ejpam-6190	238	48	∅.	∅.	ADV
ejpam-6190	238	49	suppose	suppose	VERB
ejpam-6190	238	50	x	x	PRON
ejpam-6190	238	51	,	,	PUNCT
ejpam-6190	238	52	x	x	PROPN
ejpam-6190	238	53	•	•	NUM
ejpam-6190	238	54	y	y	PROPN
ejpam-6190	238	55	,	,	PUNCT
ejpam-6190	238	56	x	x	PUNCT
ejpam-6190	238	57	∗	∗	NOUN
ejpam-6190	238	58	y	y	PROPN
ejpam-6190	238	59	∈	∈	PROPN
ejpam-6190	238	60	∩	∩	NOUN
ejpam-6190	238	61	α∈i	α∈i	NUM
ejpam-6190	238	62	fα	fα	ADP
ejpam-6190	238	63	and	and	CCONJ
ejpam-6190	238	64	y	y	PROPN
ejpam-6190	238	65	∈	∈	PROPN
ejpam-6190	238	66	x.	x.	NOUN
ejpam-6190	238	67	then	then	ADV
ejpam-6190	238	68	x	x	X
ejpam-6190	238	69	,	,	PUNCT
ejpam-6190	238	70	x	x	PROPN
ejpam-6190	238	71	•	•	NUM
ejpam-6190	238	72	y	y	PROPN
ejpam-6190	238	73	,	,	PUNCT
ejpam-6190	238	74	x	x	PUNCT
ejpam-6190	238	75	∗	∗	NOUN
ejpam-6190	238	76	y	y	NOUN
ejpam-6190	238	77	∈	∈	PROPN
ejpam-6190	238	78	fα	fα	ADP
ejpam-6190	238	79	for	for	ADP
ejpam-6190	238	80	all	all	DET
ejpam-6190	238	81	α	α	PRON
ejpam-6190	238	82	∈	∈	PROPN
ejpam-6190	238	83	i.	i.	NOUN
ejpam-6190	238	84	since	since	SCONJ
ejpam-6190	238	85	fα	fα	ADV
ejpam-6190	238	86	is	be	AUX
ejpam-6190	238	87	a	a	DET
ejpam-6190	238	88	pseudo	pseudo	NOUN
ejpam-6190	238	89	-	-	ADJ
ejpam-6190	238	90	db	db	ADJ
ejpam-6190	238	91	-	-	PUNCT
ejpam-6190	238	92	filter	filter	NOUN
ejpam-6190	238	93	for	for	ADP
ejpam-6190	238	94	each	each	DET
ejpam-6190	238	95	α	α	NOUN
ejpam-6190	238	96	,	,	PUNCT
ejpam-6190	238	97	y	y	PROPN
ejpam-6190	238	98	∈	∈	PROPN
ejpam-6190	238	99	fα	fα	ADP
ejpam-6190	238	100	for	for	ADP
ejpam-6190	238	101	all	all	DET
ejpam-6190	238	102	α	α	PRON
ejpam-6190	238	103	∈	∈	PROPN
ejpam-6190	238	104	i.	i.	NOUN
ejpam-6190	238	105	thus	thus	ADV
ejpam-6190	238	106	,	,	PUNCT
ejpam-6190	238	107	y	y	PROPN
ejpam-6190	238	108	∈	∈	PROPN
ejpam-6190	238	109	∩	∩	NOUN
ejpam-6190	238	110	α∈i	α∈i	NUM
ejpam-6190	238	111	fα	fα	NOUN
ejpam-6190	238	112	.	.	PUNCT
ejpam-6190	238	113	therefore,∩	therefore,∩	NOUN
ejpam-6190	238	114	α∈i	α∈i	NUM
ejpam-6190	238	115	fα	fα	NOUN
ejpam-6190	238	116	is	be	AUX
ejpam-6190	238	117	a	a	DET
ejpam-6190	238	118	pseudo	pseudo	NOUN
ejpam-6190	238	119	-	-	ADJ
ejpam-6190	238	120	db	db	ADJ
ejpam-6190	238	121	-	-	PUNCT
ejpam-6190	238	122	filter	filter	NOUN
ejpam-6190	238	123	of	of	ADP
ejpam-6190	238	124	x.	x.	NOUN
ejpam-6190	238	125	the	the	DET
ejpam-6190	238	126	following	follow	VERB
ejpam-6190	238	127	theorem	theorem	NOUN
ejpam-6190	238	128	presents	present	VERB
ejpam-6190	238	129	the	the	DET
ejpam-6190	238	130	relationship	relationship	NOUN
ejpam-6190	238	131	between	between	ADP
ejpam-6190	238	132	a	a	DET
ejpam-6190	238	133	pseudo	pseudo	NOUN
ejpam-6190	238	134	-	-	ADJ
ejpam-6190	238	135	db	db	ADJ
ejpam-6190	238	136	-	-	PUNCT
ejpam-6190	238	137	filter	filter	NOUN
ejpam-6190	238	138	and	and	CCONJ
ejpam-6190	238	139	a	a	DET
ejpam-6190	238	140	pseudo	pseudo	NOUN
ejpam-6190	238	141	-	-	ADJ
ejpam-6190	238	142	db	db	NOUN
ejpam-6190	238	143	-	-	PUNCT
ejpam-6190	238	144	subalgebra	subalgebra	NOUN
ejpam-6190	238	145	.	.	PUNCT
ejpam-6190	239	1	theorem	theorem	NOUN
ejpam-6190	239	2	6	6	NUM
ejpam-6190	239	3	.	.	PUNCT
ejpam-6190	240	1	any	any	DET
ejpam-6190	240	2	pseudo	pseudo	NOUN
ejpam-6190	240	3	-	-	ADJ
ejpam-6190	240	4	db	db	ADJ
ejpam-6190	240	5	-	-	PUNCT
ejpam-6190	240	6	filter	filter	NOUN
ejpam-6190	240	7	of	of	ADP
ejpam-6190	240	8	x	x	PUNCT
ejpam-6190	240	9	is	be	AUX
ejpam-6190	240	10	a	a	DET
ejpam-6190	240	11	pseudo	pseudo	NOUN
ejpam-6190	240	12	-	-	ADJ
ejpam-6190	240	13	db	db	NOUN
ejpam-6190	240	14	-	-	PUNCT
ejpam-6190	240	15	subalgebra	subalgebra	NOUN
ejpam-6190	240	16	.	.	PUNCT
ejpam-6190	241	1	proof	proof	NOUN
ejpam-6190	241	2	.	.	PUNCT
ejpam-6190	242	1	suppose	suppose	VERB
ejpam-6190	242	2	f	f	PROPN
ejpam-6190	242	3	is	be	AUX
ejpam-6190	242	4	a	a	DET
ejpam-6190	242	5	pseudo	pseudo	NOUN
ejpam-6190	242	6	-	-	ADJ
ejpam-6190	242	7	db	db	ADJ
ejpam-6190	242	8	-	-	PUNCT
ejpam-6190	242	9	filter	filter	NOUN
ejpam-6190	242	10	of	of	ADP
ejpam-6190	242	11	x	x	PUNCT
ejpam-6190	242	12	and	and	CCONJ
ejpam-6190	242	13	let	let	VERB
ejpam-6190	242	14	x	x	PRON
ejpam-6190	242	15	,	,	PUNCT
ejpam-6190	242	16	y	y	PROPN
ejpam-6190	242	17	∈	∈	PROPN
ejpam-6190	242	18	f	f	X
ejpam-6190	242	19	.	.	PUNCT
ejpam-6190	243	1	by	by	ADP
ejpam-6190	243	2	(	(	PUNCT
ejpam-6190	243	3	pdbf1	pdbf1	PROPN
ejpam-6190	243	4	)	)	PUNCT
ejpam-6190	243	5	,	,	PUNCT
ejpam-6190	243	6	1	1	NUM
ejpam-6190	243	7	∈	∈	PROPN
ejpam-6190	243	8	f	f	NOUN
ejpam-6190	243	9	.	.	PUNCT
ejpam-6190	244	1	since	since	SCONJ
ejpam-6190	244	2	1	1	NUM
ejpam-6190	244	3	∈	∈	PROPN
ejpam-6190	244	4	f	f	NOUN
ejpam-6190	244	5	and	and	CCONJ
ejpam-6190	244	6	f	f	PROPN
ejpam-6190	244	7	is	be	AUX
ejpam-6190	244	8	a	a	DET
ejpam-6190	244	9	pseudo	pseudo	NOUN
ejpam-6190	244	10	-	-	ADJ
ejpam-6190	244	11	db	db	ADJ
ejpam-6190	244	12	-	-	PUNCT
ejpam-6190	244	13	filter	filter	NOUN
ejpam-6190	244	14	,	,	PUNCT
ejpam-6190	244	15	1	1	NUM
ejpam-6190	244	16	•	•	NOUN
ejpam-6190	244	17	(	(	PUNCT
ejpam-6190	244	18	x	x	SYM
ejpam-6190	244	19	•	•	NUM
ejpam-6190	244	20	y	y	NOUN
ejpam-6190	244	21	)	)	PUNCT
ejpam-6190	244	22	∈	∈	PROPN
ejpam-6190	244	23	f	f	PROPN
ejpam-6190	244	24	and	and	CCONJ
ejpam-6190	244	25	1	1	NUM
ejpam-6190	244	26	∗	∗	NOUN
ejpam-6190	244	27	(	(	PUNCT
ejpam-6190	244	28	x	x	X
ejpam-6190	244	29	∗	∗	PROPN
ejpam-6190	244	30	y	y	NOUN
ejpam-6190	244	31	)	)	PUNCT
ejpam-6190	244	32	∈	∈	PROPN
ejpam-6190	245	1	f	f	AUX
ejpam-6190	245	2	imply	imply	VERB
ejpam-6190	245	3	x	x	SYM
ejpam-6190	245	4	•	•	NUM
ejpam-6190	245	5	y	y	PROPN
ejpam-6190	245	6	,	,	PUNCT
ejpam-6190	245	7	x	x	PUNCT
ejpam-6190	245	8	∗	∗	NOUN
ejpam-6190	245	9	y	y	PROPN
ejpam-6190	245	10	∈	∈	PROPN
ejpam-6190	246	1	f	f	PROPN
ejpam-6190	246	2	.	.	PUNCT
ejpam-6190	247	1	the	the	DET
ejpam-6190	247	2	following	follow	VERB
ejpam-6190	247	3	theorem	theorem	NOUN
ejpam-6190	247	4	provides	provide	VERB
ejpam-6190	247	5	a	a	DET
ejpam-6190	247	6	condition	condition	NOUN
ejpam-6190	247	7	for	for	ADP
ejpam-6190	247	8	a	a	DET
ejpam-6190	247	9	pseudo	pseudo	NOUN
ejpam-6190	247	10	-	-	ADJ
ejpam-6190	247	11	db	db	NOUN
ejpam-6190	247	12	-	-	PUNCT
ejpam-6190	247	13	subalgebra	subalgebra	NOUN
ejpam-6190	247	14	to	to	PART
ejpam-6190	247	15	be	be	AUX
ejpam-6190	247	16	a	a	DET
ejpam-6190	247	17	pseudodb	pseudodb	NOUN
ejpam-6190	247	18	-	-	PUNCT
ejpam-6190	247	19	filter	filter	NOUN
ejpam-6190	247	20	.	.	PUNCT
ejpam-6190	248	1	theorem	theorem	ADJ
ejpam-6190	248	2	7	7	NUM
ejpam-6190	248	3	.	.	PUNCT
ejpam-6190	249	1	let	let	VERB
ejpam-6190	249	2	f	f	PRON
ejpam-6190	249	3	be	be	AUX
ejpam-6190	249	4	a	a	DET
ejpam-6190	249	5	pseudo	pseudo	NOUN
ejpam-6190	249	6	-	-	ADJ
ejpam-6190	249	7	db	db	NOUN
ejpam-6190	249	8	-	-	PUNCT
ejpam-6190	249	9	subalgebra	subalgebra	NOUN
ejpam-6190	249	10	of	of	ADP
ejpam-6190	249	11	x.	x.	NOUN
ejpam-6190	249	12	then	then	ADV
ejpam-6190	249	13	f	f	PROPN
ejpam-6190	249	14	is	be	AUX
ejpam-6190	249	15	a	a	DET
ejpam-6190	249	16	pseudo	pseudo	NOUN
ejpam-6190	249	17	-	-	ADJ
ejpam-6190	249	18	db	db	ADJ
ejpam-6190	249	19	-	-	PUNCT
ejpam-6190	249	20	filter	filter	NOUN
ejpam-6190	249	21	of	of	ADP
ejpam-6190	249	22	x	x	SYM
ejpam-6190	249	23	if	if	SCONJ
ejpam-6190	249	24	and	and	CCONJ
ejpam-6190	249	25	only	only	ADV
ejpam-6190	249	26	if	if	SCONJ
ejpam-6190	249	27	for	for	ADP
ejpam-6190	249	28	all	all	DET
ejpam-6190	249	29	x	x	NOUN
ejpam-6190	249	30	,	,	PUNCT
ejpam-6190	249	31	y	y	PROPN
ejpam-6190	249	32	∈	∈	PROPN
ejpam-6190	249	33	x	x	INTJ
ejpam-6190	249	34	if	if	SCONJ
ejpam-6190	249	35	x	x	SYM
ejpam-6190	249	36	∈	∈	PROPN
ejpam-6190	249	37	f	f	PROPN
ejpam-6190	249	38	and	and	CCONJ
ejpam-6190	249	39	y	y	PROPN
ejpam-6190	249	40	/∈	/∈	PUNCT
ejpam-6190	250	1	f	f	PROPN
ejpam-6190	251	1	then	then	ADV
ejpam-6190	251	2	x	x	X
ejpam-6190	251	3	•	•	NUM
ejpam-6190	251	4	y	y	PROPN
ejpam-6190	251	5	,	,	PUNCT
ejpam-6190	251	6	x	x	PUNCT
ejpam-6190	251	7	∗	∗	NOUN
ejpam-6190	251	8	y	y	PROPN
ejpam-6190	251	9	/∈	/∈	PUNCT
ejpam-6190	252	1	f	f	PROPN
ejpam-6190	252	2	.	.	PUNCT
ejpam-6190	253	1	proof	proof	NOUN
ejpam-6190	253	2	.	.	PUNCT
ejpam-6190	254	1	let	let	VERB
ejpam-6190	254	2	f	f	PRON
ejpam-6190	254	3	be	be	AUX
ejpam-6190	254	4	a	a	DET
ejpam-6190	254	5	pseudo	pseudo	NOUN
ejpam-6190	254	6	-	-	ADJ
ejpam-6190	254	7	db	db	NOUN
ejpam-6190	254	8	-	-	PUNCT
ejpam-6190	254	9	subalgebra	subalgebra	NOUN
ejpam-6190	254	10	of	of	ADP
ejpam-6190	254	11	x.	x.	NOUN
ejpam-6190	254	12	suppose	suppose	VERB
ejpam-6190	254	13	x	x	PRON
ejpam-6190	254	14	,	,	PUNCT
ejpam-6190	254	15	y	y	PROPN
ejpam-6190	254	16	∈	∈	PROPN
ejpam-6190	254	17	x	x	X
ejpam-6190	254	18	and	and	CCONJ
ejpam-6190	254	19	f	f	PROPN
ejpam-6190	254	20	is	be	AUX
ejpam-6190	254	21	a	a	DET
ejpam-6190	254	22	pseudodb	pseudodb	NOUN
ejpam-6190	254	23	-	-	PUNCT
ejpam-6190	254	24	filter	filter	NOUN
ejpam-6190	254	25	of	of	ADP
ejpam-6190	254	26	x	x	SYM
ejpam-6190	254	27	where	where	SCONJ
ejpam-6190	254	28	x	x	SYM
ejpam-6190	254	29	∈	∈	PROPN
ejpam-6190	254	30	f	f	PROPN
ejpam-6190	254	31	and	and	CCONJ
ejpam-6190	254	32	y	y	PROPN
ejpam-6190	254	33	/∈	/∈	PUNCT
ejpam-6190	255	1	f	f	PROPN
ejpam-6190	255	2	.	.	PUNCT
ejpam-6190	256	1	if	if	SCONJ
ejpam-6190	256	2	x	x	PRON
ejpam-6190	256	3	•	•	NUM
ejpam-6190	256	4	y	y	PROPN
ejpam-6190	256	5	,	,	PUNCT
ejpam-6190	256	6	x	x	PUNCT
ejpam-6190	256	7	∗	∗	NOUN
ejpam-6190	256	8	y	y	PROPN
ejpam-6190	256	9	∈	∈	PROPN
ejpam-6190	256	10	f	f	PROPN
ejpam-6190	256	11	,	,	PUNCT
ejpam-6190	256	12	then	then	ADV
ejpam-6190	256	13	y	y	PROPN
ejpam-6190	256	14	∈	∈	PROPN
ejpam-6190	256	15	f	f	X
ejpam-6190	256	16	by	by	ADP
ejpam-6190	256	17	(	(	PUNCT
ejpam-6190	256	18	pdbf2	pdbf2	NOUN
ejpam-6190	256	19	)	)	PUNCT
ejpam-6190	256	20	,	,	PUNCT
ejpam-6190	256	21	which	which	PRON
ejpam-6190	256	22	is	be	AUX
ejpam-6190	256	23	a	a	DET
ejpam-6190	256	24	contradiction	contradiction	NOUN
ejpam-6190	256	25	.	.	PUNCT
ejpam-6190	257	1	hence	hence	ADV
ejpam-6190	257	2	,	,	PUNCT
ejpam-6190	257	3	x	x	PROPN
ejpam-6190	257	4	•	•	NUM
ejpam-6190	257	5	y	y	PROPN
ejpam-6190	257	6	,	,	PUNCT
ejpam-6190	257	7	x	x	PUNCT
ejpam-6190	257	8	∗	∗	NOUN
ejpam-6190	257	9	y	y	PROPN
ejpam-6190	257	10	/∈	/∈	PUNCT
ejpam-6190	258	1	f	f	PROPN
ejpam-6190	258	2	.	.	PUNCT
ejpam-6190	259	1	conversely	conversely	ADV
ejpam-6190	259	2	,	,	PUNCT
ejpam-6190	259	3	note	note	VERB
ejpam-6190	259	4	that	that	SCONJ
ejpam-6190	259	5	1	1	NUM
ejpam-6190	259	6	∈	∈	NOUN
ejpam-6190	259	7	f	f	X
ejpam-6190	259	8	by	by	ADP
ejpam-6190	259	9	remark	remark	NOUN
ejpam-6190	259	10	3	3	NUM
ejpam-6190	259	11	.	.	PUNCT
ejpam-6190	259	12	hence	hence	ADV
ejpam-6190	259	13	,	,	PUNCT
ejpam-6190	259	14	(	(	PUNCT
ejpam-6190	259	15	pdbf1	pdbf1	NOUN
ejpam-6190	259	16	)	)	PUNCT
ejpam-6190	259	17	holds	hold	VERB
ejpam-6190	259	18	.	.	PUNCT
ejpam-6190	260	1	it	it	PRON
ejpam-6190	260	2	remains	remain	VERB
ejpam-6190	260	3	to	to	PART
ejpam-6190	260	4	show	show	VERB
ejpam-6190	260	5	(	(	PUNCT
ejpam-6190	260	6	pdbf2	pdbf2	NOUN
ejpam-6190	260	7	)	)	PUNCT
ejpam-6190	260	8	.	.	PUNCT
ejpam-6190	261	1	suppose	suppose	VERB
ejpam-6190	261	2	that	that	SCONJ
ejpam-6190	261	3	for	for	ADP
ejpam-6190	261	4	any	any	DET
ejpam-6190	261	5	x	x	NOUN
ejpam-6190	261	6	,	,	PUNCT
ejpam-6190	261	7	y	y	PROPN
ejpam-6190	261	8	∈	∈	PROPN
ejpam-6190	261	9	x	x	AUX
ejpam-6190	261	10	,	,	PUNCT
ejpam-6190	261	11	x•y	x•y	PROPN
ejpam-6190	261	12	,	,	PUNCT
ejpam-6190	261	13	x∗y	x∗y	X
ejpam-6190	261	14	,	,	PUNCT
ejpam-6190	261	15	x	x	SYM
ejpam-6190	261	16	∈	∈	PROPN
ejpam-6190	261	17	f	f	X
ejpam-6190	261	18	.	.	PUNCT
ejpam-6190	262	1	if	if	SCONJ
ejpam-6190	262	2	y	y	PROPN
ejpam-6190	262	3	/∈	/∈	PROPN
ejpam-6190	263	1	f	f	PROPN
ejpam-6190	263	2	,	,	PUNCT
ejpam-6190	263	3	then	then	ADV
ejpam-6190	263	4	x•y	x•y	PROPN
ejpam-6190	263	5	,	,	PUNCT
ejpam-6190	263	6	x∗y	x∗y	PROPN
ejpam-6190	263	7	/∈	/∈	PUNCT
ejpam-6190	264	1	f	f	NOUN
ejpam-6190	264	2	by	by	ADP
ejpam-6190	264	3	the	the	DET
ejpam-6190	264	4	hypothesis	hypothesis	NOUN
ejpam-6190	264	5	,	,	PUNCT
ejpam-6190	264	6	which	which	PRON
ejpam-6190	264	7	is	be	AUX
ejpam-6190	264	8	a	a	DET
ejpam-6190	264	9	contradiction	contradiction	NOUN
ejpam-6190	264	10	.	.	PUNCT
ejpam-6190	265	1	thus	thus	ADV
ejpam-6190	265	2	,	,	PUNCT
ejpam-6190	265	3	for	for	ADP
ejpam-6190	265	4	any	any	DET
ejpam-6190	265	5	x	x	NOUN
ejpam-6190	265	6	,	,	PUNCT
ejpam-6190	265	7	y	y	PROPN
ejpam-6190	265	8	∈	∈	PROPN
ejpam-6190	265	9	x	x	PROPN
ejpam-6190	265	10	,	,	PUNCT
ejpam-6190	265	11	x•y	x•y	PROPN
ejpam-6190	265	12	,	,	PUNCT
ejpam-6190	265	13	x∗y	x∗y	X
ejpam-6190	265	14	,	,	PUNCT
ejpam-6190	265	15	x	x	SYM
ejpam-6190	265	16	∈	∈	PROPN
ejpam-6190	265	17	f	f	X
ejpam-6190	265	18	imply	imply	VERB
ejpam-6190	265	19	y	y	PROPN
ejpam-6190	265	20	∈	∈	PROPN
ejpam-6190	265	21	f	f	PROPN
ejpam-6190	265	22	.	.	PUNCT
ejpam-6190	266	1	hence	hence	ADV
ejpam-6190	266	2	,	,	PUNCT
ejpam-6190	266	3	(	(	PUNCT
ejpam-6190	266	4	pdbf2	pdbf2	NOUN
ejpam-6190	266	5	)	)	PUNCT
ejpam-6190	266	6	holds	hold	VERB
ejpam-6190	266	7	.	.	PUNCT
ejpam-6190	267	1	therefore	therefore	ADV
ejpam-6190	267	2	,	,	PUNCT
ejpam-6190	267	3	f	f	PROPN
ejpam-6190	267	4	is	be	AUX
ejpam-6190	267	5	a	a	DET
ejpam-6190	267	6	pseudo	pseudo	NOUN
ejpam-6190	267	7	-	-	ADJ
ejpam-6190	267	8	db	db	NOUN
ejpam-6190	267	9	-	-	PUNCT
ejpam-6190	267	10	filter	filter	NOUN
ejpam-6190	267	11	.	.	PUNCT
ejpam-6190	268	1	j.	j.	PROPN
ejpam-6190	268	2	m.	m.	PROPN
ejpam-6190	268	3	s.	s.	PROPN
ejpam-6190	268	4	leuveras	leuveras	PROPN
ejpam-6190	268	5	,	,	PUNCT
ejpam-6190	268	6	k.	k.	PROPN
ejpam-6190	268	7	b.	b.	PROPN
ejpam-6190	268	8	fuentes	fuentes	PROPN
ejpam-6190	268	9	/	/	SYM
ejpam-6190	268	10	eur	eur	PROPN
ejpam-6190	268	11	.	.	PUNCT
ejpam-6190	269	1	j.	j.	PROPN
ejpam-6190	269	2	pure	pure	PROPN
ejpam-6190	269	3	appl	appl	PROPN
ejpam-6190	269	4	.	.	PROPN
ejpam-6190	269	5	math	math	PROPN
ejpam-6190	269	6	,	,	PUNCT
ejpam-6190	269	7	18	18	NUM
ejpam-6190	269	8	(	(	PUNCT
ejpam-6190	269	9	4	4	NUM
ejpam-6190	269	10	)	)	PUNCT
ejpam-6190	269	11	(	(	PUNCT
ejpam-6190	269	12	2025	2025	NUM
ejpam-6190	269	13	)	)	PUNCT
ejpam-6190	269	14	,	,	PUNCT
ejpam-6190	269	15	6190	6190	NUM
ejpam-6190	269	16	9	9	NUM
ejpam-6190	269	17	of	of	ADP
ejpam-6190	269	18	12	12	NUM
ejpam-6190	269	19	5	5	NUM
ejpam-6190	269	20	.	.	PUNCT
ejpam-6190	269	21	conclusion	conclusion	NOUN
ejpam-6190	269	22	in	in	ADP
ejpam-6190	269	23	this	this	DET
ejpam-6190	269	24	paper	paper	NOUN
ejpam-6190	269	25	,	,	PUNCT
ejpam-6190	269	26	the	the	DET
ejpam-6190	269	27	structure	structure	NOUN
ejpam-6190	269	28	of	of	ADP
ejpam-6190	269	29	pseudo	pseudo	NOUN
ejpam-6190	269	30	-	-	ADJ
ejpam-6190	269	31	db	db	NOUN
ejpam-6190	269	32	-	-	PUNCT
ejpam-6190	269	33	algebra	algebra	NOUN
ejpam-6190	269	34	and	and	CCONJ
ejpam-6190	269	35	some	some	PRON
ejpam-6190	269	36	of	of	ADP
ejpam-6190	269	37	its	its	PRON
ejpam-6190	269	38	subsets	subset	NOUN
ejpam-6190	269	39	,	,	PUNCT
ejpam-6190	269	40	particularly	particularly	ADV
ejpam-6190	269	41	pseudo	pseudo	NOUN
ejpam-6190	269	42	-	-	ADJ
ejpam-6190	269	43	db	db	ADJ
ejpam-6190	269	44	-	-	PUNCT
ejpam-6190	269	45	subalgebra	subalgebra	NOUN
ejpam-6190	269	46	and	and	CCONJ
ejpam-6190	269	47	pseudo	pseudo	NOUN
ejpam-6190	269	48	-	-	ADJ
ejpam-6190	269	49	db	db	NOUN
ejpam-6190	269	50	-	-	PUNCT
ejpam-6190	269	51	filter	filter	NOUN
ejpam-6190	269	52	,	,	PUNCT
ejpam-6190	269	53	are	be	AUX
ejpam-6190	269	54	introduced	introduce	VERB
ejpam-6190	269	55	.	.	PUNCT
ejpam-6190	270	1	it	it	PRON
ejpam-6190	270	2	was	be	AUX
ejpam-6190	270	3	illustrated	illustrate	VERB
ejpam-6190	270	4	that	that	SCONJ
ejpam-6190	270	5	any	any	DET
ejpam-6190	270	6	two	two	NUM
ejpam-6190	270	7	db	db	NOUN
ejpam-6190	270	8	-	-	PUNCT
ejpam-6190	270	9	algebras	algebra	NOUN
ejpam-6190	270	10	do	do	AUX
ejpam-6190	270	11	not	not	PART
ejpam-6190	270	12	necessarily	necessarily	ADV
ejpam-6190	270	13	construct	construct	VERB
ejpam-6190	270	14	a	a	DET
ejpam-6190	270	15	pseudo	pseudo	NOUN
ejpam-6190	270	16	-	-	ADJ
ejpam-6190	270	17	db	db	NOUN
ejpam-6190	270	18	-	-	PUNCT
ejpam-6190	270	19	algebra	algebra	NOUN
ejpam-6190	270	20	.	.	PUNCT
ejpam-6190	271	1	this	this	DET
ejpam-6190	271	2	study	study	NOUN
ejpam-6190	271	3	also	also	ADV
ejpam-6190	271	4	presented	present	VERB
ejpam-6190	271	5	some	some	DET
ejpam-6190	271	6	properties	property	NOUN
ejpam-6190	271	7	of	of	ADP
ejpam-6190	271	8	pseudo	pseudo	NOUN
ejpam-6190	271	9	-	-	ADJ
ejpam-6190	271	10	db	db	NOUN
ejpam-6190	271	11	-	-	PUNCT
ejpam-6190	271	12	algebra	algebra	NOUN
ejpam-6190	271	13	and	and	CCONJ
ejpam-6190	271	14	its	its	PRON
ejpam-6190	271	15	subsets	subset	NOUN
ejpam-6190	271	16	under	under	ADP
ejpam-6190	271	17	consideration	consideration	NOUN
ejpam-6190	271	18	,	,	PUNCT
ejpam-6190	271	19	and	and	CCONJ
ejpam-6190	271	20	established	establish	VERB
ejpam-6190	271	21	a	a	DET
ejpam-6190	271	22	characterization	characterization	NOUN
ejpam-6190	271	23	of	of	ADP
ejpam-6190	271	24	a	a	DET
ejpam-6190	271	25	pseudo	pseudo	NOUN
ejpam-6190	271	26	-	-	ADJ
ejpam-6190	271	27	db	db	NOUN
ejpam-6190	271	28	-	-	PUNCT
ejpam-6190	271	29	subalgebra	subalgebra	NOUN
ejpam-6190	271	30	.	.	PUNCT
ejpam-6190	272	1	furthermore	furthermore	ADV
ejpam-6190	272	2	,	,	PUNCT
ejpam-6190	272	3	it	it	PRON
ejpam-6190	272	4	was	be	AUX
ejpam-6190	272	5	shown	show	VERB
ejpam-6190	272	6	that	that	SCONJ
ejpam-6190	272	7	any	any	DET
ejpam-6190	272	8	pseudo	pseudo	NOUN
ejpam-6190	272	9	-	-	ADJ
ejpam-6190	272	10	db	db	ADJ
ejpam-6190	272	11	-	-	PUNCT
ejpam-6190	272	12	filter	filter	NOUN
ejpam-6190	272	13	is	be	AUX
ejpam-6190	272	14	a	a	DET
ejpam-6190	272	15	pseudo	pseudo	NOUN
ejpam-6190	272	16	-	-	ADJ
ejpam-6190	272	17	db	db	NOUN
ejpam-6190	272	18	-	-	PUNCT
ejpam-6190	272	19	subalgebra	subalgebra	NOUN
ejpam-6190	272	20	,	,	PUNCT
ejpam-6190	272	21	and	and	CCONJ
ejpam-6190	272	22	under	under	ADP
ejpam-6190	272	23	some	some	DET
ejpam-6190	272	24	condition	condition	NOUN
ejpam-6190	272	25	,	,	PUNCT
ejpam-6190	272	26	a	a	DET
ejpam-6190	272	27	pseudodb	pseudodb	NOUN
ejpam-6190	272	28	-	-	PUNCT
ejpam-6190	272	29	subalgebra	subalgebra	NOUN
ejpam-6190	272	30	is	be	AUX
ejpam-6190	272	31	a	a	DET
ejpam-6190	272	32	pseudo	pseudo	NOUN
ejpam-6190	272	33	-	-	ADJ
ejpam-6190	272	34	db	db	NOUN
ejpam-6190	272	35	-	-	PUNCT
ejpam-6190	272	36	filter	filter	NOUN
ejpam-6190	272	37	.	.	PUNCT
ejpam-6190	273	1	moreover	moreover	ADV
ejpam-6190	273	2	,	,	PUNCT
ejpam-6190	273	3	interested	interested	ADJ
ejpam-6190	273	4	researchers	researcher	NOUN
ejpam-6190	273	5	may	may	AUX
ejpam-6190	273	6	explore	explore	VERB
ejpam-6190	273	7	the	the	DET
ejpam-6190	273	8	relationship	relationship	NOUN
ejpam-6190	273	9	of	of	ADP
ejpam-6190	273	10	the	the	DET
ejpam-6190	273	11	pseudo	pseudo	NOUN
ejpam-6190	273	12	-	-	ADJ
ejpam-6190	273	13	db	db	NOUN
ejpam-6190	273	14	-	-	PUNCT
ejpam-6190	273	15	algebra	algebra	NOUN
ejpam-6190	273	16	with	with	ADP
ejpam-6190	273	17	the	the	DET
ejpam-6190	273	18	other	other	ADJ
ejpam-6190	273	19	pseudo	pseudo	NOUN
ejpam-6190	273	20	-	-	NOUN
ejpam-6190	273	21	algebras	algebra	NOUN
ejpam-6190	273	22	.	.	PUNCT
ejpam-6190	274	1	acknowledgements	acknowledgement	NOUN
ejpam-6190	274	2	the	the	DET
ejpam-6190	274	3	authors	author	NOUN
ejpam-6190	274	4	would	would	AUX
ejpam-6190	274	5	like	like	VERB
ejpam-6190	274	6	to	to	PART
ejpam-6190	274	7	thank	thank	VERB
ejpam-6190	274	8	the	the	DET
ejpam-6190	274	9	department	department	NOUN
ejpam-6190	274	10	of	of	ADP
ejpam-6190	274	11	science	science	NOUN
ejpam-6190	274	12	and	and	CCONJ
ejpam-6190	274	13	technology	technology	NOUN
ejpam-6190	274	14	accelerated	accelerate	VERB
ejpam-6190	274	15	science	science	NOUN
ejpam-6190	274	16	and	and	CCONJ
ejpam-6190	274	17	technology	technology	NOUN
ejpam-6190	274	18	human	human	ADJ
ejpam-6190	274	19	resource	resource	NOUN
ejpam-6190	274	20	development	development	NOUN
ejpam-6190	274	21	program	program	NOUN
ejpam-6190	274	22	(	(	PUNCT
ejpam-6190	274	23	dost	dost	NOUN
ejpam-6190	274	24	-	-	PUNCT
ejpam-6190	274	25	asthrdp	asthrdp	NOUN
ejpam-6190	274	26	)	)	PUNCT
ejpam-6190	274	27	and	and	CCONJ
ejpam-6190	274	28	the	the	DET
ejpam-6190	274	29	university	university	NOUN
ejpam-6190	274	30	of	of	ADP
ejpam-6190	274	31	san	san	PROPN
ejpam-6190	274	32	carlos	carlos	PROPN
ejpam-6190	274	33	for	for	ADP
ejpam-6190	274	34	funding	fund	VERB
ejpam-6190	274	35	this	this	DET
ejpam-6190	274	36	research	research	NOUN
ejpam-6190	274	37	.	.	PUNCT
ejpam-6190	275	1	references	reference	NOUN
ejpam-6190	275	2	[	[	X
ejpam-6190	275	3	1	1	NUM
ejpam-6190	275	4	]	]	X
ejpam-6190	275	5	yasuyuki	yasuyuki	PROPN
ejpam-6190	275	6	imai	imai	PROPN
ejpam-6190	275	7	and	and	CCONJ
ejpam-6190	275	8	kiyoshi	kiyoshi	PROPN
ejpam-6190	275	9	iseki	iseki	PROPN
ejpam-6190	275	10	.	.	PUNCT
ejpam-6190	276	1	on	on	ADP
ejpam-6190	276	2	axiom	axiom	NOUN
ejpam-6190	276	3	systems	system	NOUN
ejpam-6190	276	4	of	of	ADP
ejpam-6190	276	5	propositional	propositional	ADJ
ejpam-6190	276	6	calculi	calculi	PROPN
ejpam-6190	276	7	.	.	PUNCT
ejpam-6190	277	1	proceedings	proceeding	NOUN
ejpam-6190	277	2	of	of	ADP
ejpam-6190	277	3	japan	japan	PROPN
ejpam-6190	277	4	academy	academy	PROPN
ejpam-6190	277	5	,	,	PUNCT
ejpam-6190	277	6	42(1):19–22	42(1):19–22	NUM
ejpam-6190	277	7	,	,	PUNCT
ejpam-6190	277	8	1966	1966	NUM
ejpam-6190	277	9	.	.	PUNCT
ejpam-6190	278	1	[	[	X
ejpam-6190	278	2	2	2	NUM
ejpam-6190	278	3	]	]	PUNCT
ejpam-6190	278	4	george	george	PROPN
ejpam-6190	278	5	georgescu	georgescu	PROPN
ejpam-6190	278	6	and	and	CCONJ
ejpam-6190	278	7	afrodita	afrodita	PROPN
ejpam-6190	278	8	iorgulescu	iorgulescu	NOUN
ejpam-6190	278	9	.	.	PUNCT
ejpam-6190	279	1	pseudo	pseudo	NOUN
ejpam-6190	279	2	-	-	ADJ
ejpam-6190	279	3	bck	bck	ADJ
ejpam-6190	279	4	algebras	algebra	NOUN
ejpam-6190	279	5	:	:	PUNCT
ejpam-6190	279	6	an	an	DET
ejpam-6190	279	7	extension	extension	NOUN
ejpam-6190	279	8	of	of	ADP
ejpam-6190	279	9	bck	bck	PROPN
ejpam-6190	279	10	algebras	algebra	NOUN
ejpam-6190	279	11	.	.	PUNCT
ejpam-6190	280	1	in	in	ADP
ejpam-6190	280	2	combinatorics	combinatoric	NOUN
ejpam-6190	280	3	,	,	PUNCT
ejpam-6190	280	4	computability	computability	NOUN
ejpam-6190	280	5	and	and	CCONJ
ejpam-6190	280	6	logic	logic	NOUN
ejpam-6190	280	7	,	,	PUNCT
ejpam-6190	280	8	2001	2001	NUM
ejpam-6190	280	9	.	.	PUNCT
ejpam-6190	281	1	[	[	X
ejpam-6190	281	2	3	3	NUM
ejpam-6190	281	3	]	]	X
ejpam-6190	281	4	wieslaw	wieslaw	NOUN
ejpam-6190	281	5	dudek	dudek	PROPN
ejpam-6190	281	6	and	and	CCONJ
ejpam-6190	281	7	young	young	ADJ
ejpam-6190	281	8	-	-	PUNCT
ejpam-6190	281	9	bae	bae	PROPN
ejpam-6190	281	10	jun	jun	PROPN
ejpam-6190	281	11	.	.	PROPN
ejpam-6190	281	12	pseudo	pseudo	PROPN
ejpam-6190	281	13	-	-	PUNCT
ejpam-6190	281	14	bci	bci	ADJ
ejpam-6190	281	15	algebras	algebra	NOUN
ejpam-6190	281	16	.	.	PUNCT
ejpam-6190	281	17	east	east	PROPN
ejpam-6190	281	18	asian	asian	PROPN
ejpam-6190	281	19	mathematical	mathematical	ADJ
ejpam-6190	281	20	journal	journal	NOUN
ejpam-6190	281	21	,	,	PUNCT
ejpam-6190	281	22	24(2):187–190	24(2):187–190	PROPN
ejpam-6190	281	23	,	,	PUNCT
ejpam-6190	281	24	2008	2008	NUM
ejpam-6190	281	25	.	.	PUNCT
ejpam-6190	282	1	[	[	X
ejpam-6190	282	2	4	4	NUM
ejpam-6190	282	3	]	]	X
ejpam-6190	282	4	j	j	PROPN
ejpam-6190	282	5	neggers	negger	NOUN
ejpam-6190	282	6	and	and	CCONJ
ejpam-6190	282	7	kim	kim	PROPN
ejpam-6190	282	8	hee	hee	PROPN
ejpam-6190	282	9	sik	sik	PROPN
ejpam-6190	282	10	.	.	PUNCT
ejpam-6190	283	1	on	on	ADP
ejpam-6190	283	2	b	b	NOUN
ejpam-6190	283	3	-	-	PUNCT
ejpam-6190	283	4	algebras	algebra	NOUN
ejpam-6190	283	5	.	.	PUNCT
ejpam-6190	284	1	matematički	matematički	PROPN
ejpam-6190	284	2	vesnik	vesnik	PROPN
ejpam-6190	284	3	,	,	PUNCT
ejpam-6190	284	4	54(1	54(1	PROPN
ejpam-6190	284	5	-	-	SYM
ejpam-6190	284	6	2):21–29	2):21–29	NUM
ejpam-6190	284	7	,	,	PUNCT
ejpam-6190	284	8	2002	2002	NUM
ejpam-6190	284	9	.	.	PUNCT
ejpam-6190	285	1	[	[	X
ejpam-6190	285	2	5	5	NUM
ejpam-6190	285	3	]	]	PUNCT
ejpam-6190	285	4	andrzej	andrzej	PROPN
ejpam-6190	285	5	walendziak	walendziak	PROPN
ejpam-6190	285	6	.	.	PUNCT
ejpam-6190	286	1	on	on	ADP
ejpam-6190	286	2	bf	bf	NOUN
ejpam-6190	286	3	-	-	PUNCT
ejpam-6190	286	4	algebras	algebras	PROPN
ejpam-6190	286	5	.	.	PUNCT
ejpam-6190	287	1	mathematica	mathematica	PROPN
ejpam-6190	287	2	slovaca	slovaca	PROPN
ejpam-6190	287	3	,	,	PUNCT
ejpam-6190	287	4	57:119–128	57:119–128	PROPN
ejpam-6190	287	5	,	,	PUNCT
ejpam-6190	287	6	2007	2007	NUM
ejpam-6190	287	7	.	.	PUNCT
ejpam-6190	288	1	[	[	X
ejpam-6190	288	2	6	6	NUM
ejpam-6190	288	3	]	]	X
ejpam-6190	288	4	hee	hee	PROPN
ejpam-6190	288	5	sik	sik	ADP
ejpam-6190	288	6	kim	kim	PROPN
ejpam-6190	288	7	and	and	CCONJ
ejpam-6190	288	8	young	young	ADJ
ejpam-6190	288	9	hee	hee	PROPN
ejpam-6190	288	10	kim	kim	PROPN
ejpam-6190	288	11	.	.	PUNCT
ejpam-6190	289	1	on	on	ADP
ejpam-6190	289	2	be	be	AUX
ejpam-6190	289	3	-	-	PUNCT
ejpam-6190	289	4	algebras	algebra	NOUN
ejpam-6190	289	5	.	.	PUNCT
ejpam-6190	290	1	scientiae	scientiae	PROPN
ejpam-6190	290	2	mathematicae	mathematicae	PROPN
ejpam-6190	290	3	japonicae	japonicae	PROPN
ejpam-6190	290	4	,	,	PUNCT
ejpam-6190	290	5	66(1):113–116	66(1):113–116	PROPN
ejpam-6190	290	6	,	,	PUNCT
ejpam-6190	290	7	2007	2007	NUM
ejpam-6190	290	8	.	.	PUNCT
ejpam-6190	291	1	[	[	X
ejpam-6190	291	2	7	7	X
ejpam-6190	291	3	]	]	X
ejpam-6190	291	4	hessah	hessah	PROPN
ejpam-6190	291	5	al	al	PROPN
ejpam-6190	291	6	-	-	PUNCT
ejpam-6190	291	7	malki	malki	PROPN
ejpam-6190	291	8	and	and	CCONJ
ejpam-6190	291	9	deena	deena	PROPN
ejpam-6190	291	10	al	al	PROPN
ejpam-6190	291	11	-	-	PUNCT
ejpam-6190	291	12	kadi	kadi	NOUN
ejpam-6190	291	13	.	.	PUNCT
ejpam-6190	292	1	the	the	DET
ejpam-6190	292	2	structure	structure	NOUN
ejpam-6190	292	3	of	of	ADP
ejpam-6190	292	4	pseudo	pseudo	NOUN
ejpam-6190	292	5	-	-	PUNCT
ejpam-6190	292	6	bf	bf	NOUN
ejpam-6190	292	7	/	/	SYM
ejpam-6190	292	8	bf*-algebra	bf*-algebra	NOUN
ejpam-6190	292	9	.	.	PUNCT
ejpam-6190	293	1	european	european	PROPN
ejpam-6190	293	2	journal	journal	PROPN
ejpam-6190	293	3	of	of	ADP
ejpam-6190	293	4	pure	pure	ADJ
ejpam-6190	293	5	and	and	CCONJ
ejpam-6190	293	6	applied	applied	ADJ
ejpam-6190	293	7	mathematics	mathematic	NOUN
ejpam-6190	293	8	,	,	PUNCT
ejpam-6190	293	9	13(3):498–512	13(3):498–512	NUM
ejpam-6190	293	10	,	,	PUNCT
ejpam-6190	293	11	2020	2020	NUM
ejpam-6190	293	12	.	.	PUNCT
ejpam-6190	294	1	[	[	X
ejpam-6190	294	2	8	8	NUM
ejpam-6190	294	3	]	]	X
ejpam-6190	294	4	rajab	rajab	PROPN
ejpam-6190	294	5	borzooei	borzooei	PROPN
ejpam-6190	294	6	,	,	PUNCT
ejpam-6190	294	7	arsham	arsham	PROPN
ejpam-6190	294	8	saeid	saeid	PROPN
ejpam-6190	294	9	,	,	PUNCT
ejpam-6190	294	10	akbar	akbar	NOUN
ejpam-6190	294	11	rezaei	rezaei	NOUN
ejpam-6190	294	12	,	,	PUNCT
ejpam-6190	294	13	akefe	akefe	NOUN
ejpam-6190	294	14	radfar	radfar	ADV
ejpam-6190	294	15	,	,	PUNCT
ejpam-6190	294	16	and	and	CCONJ
ejpam-6190	294	17	reza	reza	PROPN
ejpam-6190	294	18	ameri	ameri	PROPN
ejpam-6190	294	19	.	.	PUNCT
ejpam-6190	295	1	on	on	ADP
ejpam-6190	295	2	pseudo	pseudo	NOUN
ejpam-6190	295	3	be	be	AUX
ejpam-6190	295	4	-	-	PUNCT
ejpam-6190	295	5	algebras	algebra	NOUN
ejpam-6190	295	6	.	.	PUNCT
ejpam-6190	296	1	discussiones	discussione	NOUN
ejpam-6190	296	2	mathematicae	mathematicae	PROPN
ejpam-6190	296	3	-	-	ADJ
ejpam-6190	296	4	general	general	ADJ
ejpam-6190	296	5	algebra	algebra	NOUN
ejpam-6190	296	6	and	and	CCONJ
ejpam-6190	296	7	applications	application	NOUN
ejpam-6190	296	8	,	,	PUNCT
ejpam-6190	296	9	33(1):95–108	33(1):95–108	NUM
ejpam-6190	296	10	,	,	PUNCT
ejpam-6190	296	11	2013	2013	NUM
ejpam-6190	296	12	.	.	PUNCT
ejpam-6190	297	1	[	[	X
ejpam-6190	297	2	9	9	NUM
ejpam-6190	297	3	]	]	X
ejpam-6190	297	4	katrina	katrina	PROPN
ejpam-6190	297	5	belleza	belleza	PROPN
ejpam-6190	297	6	and	and	CCONJ
ejpam-6190	297	7	jocelyn	jocelyn	PROPN
ejpam-6190	297	8	vilela	vilela	PROPN
ejpam-6190	297	9	.	.	PUNCT
ejpam-6190	298	1	the	the	DET
ejpam-6190	298	2	dual	dual	ADJ
ejpam-6190	298	3	b	b	NOUN
ejpam-6190	298	4	-	-	PUNCT
ejpam-6190	298	5	algebra	algebra	NOUN
ejpam-6190	298	6	.	.	PUNCT
ejpam-6190	299	1	european	european	ADJ
ejpam-6190	299	2	journal	journal	PROPN
ejpam-6190	299	3	of	of	ADP
ejpam-6190	299	4	pure	pure	ADJ
ejpam-6190	299	5	and	and	CCONJ
ejpam-6190	299	6	applied	applied	ADJ
ejpam-6190	299	7	mathematics	mathematic	NOUN
ejpam-6190	299	8	,	,	PUNCT
ejpam-6190	299	9	12(4):1497–1507	12(4):1497–1507	NUM
ejpam-6190	299	10	,	,	PUNCT
ejpam-6190	299	11	2019	2019	NUM
ejpam-6190	299	12	.	.	PUNCT
ejpam-6190	300	1	[	[	X
ejpam-6190	300	2	10	10	NUM
ejpam-6190	300	3	]	]	X
ejpam-6190	300	4	katrina	katrina	PROPN
ejpam-6190	300	5	belleza	belleza	PROPN
ejpam-6190	300	6	and	and	CCONJ
ejpam-6190	300	7	jimboy	jimboy	PROPN
ejpam-6190	300	8	albaracin	albaracin	PROPN
ejpam-6190	300	9	.	.	PUNCT
ejpam-6190	301	1	on	on	ADP
ejpam-6190	301	2	dual	dual	ADJ
ejpam-6190	301	3	b	b	NOUN
ejpam-6190	301	4	-	-	PUNCT
ejpam-6190	301	5	filters	filter	NOUN
ejpam-6190	301	6	and	and	CCONJ
ejpam-6190	301	7	dual	dual	ADJ
ejpam-6190	301	8	b	b	NOUN
ejpam-6190	301	9	-	-	PUNCT
ejpam-6190	301	10	subalgebras	subalgebras	PROPN
ejpam-6190	301	11	in	in	ADP
ejpam-6190	301	12	a	a	DET
ejpam-6190	301	13	topological	topological	ADJ
ejpam-6190	301	14	dual	dual	ADJ
ejpam-6190	301	15	b	b	NOUN
ejpam-6190	301	16	-	-	PUNCT
ejpam-6190	301	17	algebra	algebra	NOUN
ejpam-6190	301	18	.	.	PUNCT
ejpam-6190	302	1	journal	journal	NOUN
ejpam-6190	302	2	of	of	ADP
ejpam-6190	302	3	mathematics	mathematic	NOUN
ejpam-6190	302	4	and	and	CCONJ
ejpam-6190	302	5	computer	computer	NOUN
ejpam-6190	302	6	science	science	NOUN
ejpam-6190	302	7	,	,	PUNCT
ejpam-6190	302	8	28:1–10	28:1–10	NUM
ejpam-6190	302	9	,	,	PUNCT
ejpam-6190	302	10	04	04	NUM
ejpam-6190	302	11	2022	2022	NUM
ejpam-6190	302	12	.	.	PUNCT
ejpam-6190	303	1	[	[	X
ejpam-6190	303	2	11	11	NUM
ejpam-6190	303	3	]	]	X
ejpam-6190	303	4	jethro	jethro	PROPN
ejpam-6190	303	5	elijah	elijah	PROPN
ejpam-6190	303	6	bolima	bolima	PROPN
ejpam-6190	303	7	.	.	PUNCT
ejpam-6190	304	1	the	the	DET
ejpam-6190	304	2	isomorphism	isomorphism	NOUN
ejpam-6190	304	3	theorems	theorem	VERB
ejpam-6190	304	4	for	for	ADP
ejpam-6190	304	5	the	the	DET
ejpam-6190	304	6	dual	dual	ADJ
ejpam-6190	304	7	b	b	NOUN
ejpam-6190	304	8	-	-	PUNCT
ejpam-6190	304	9	algebra	algebra	NOUN
ejpam-6190	304	10	.	.	PUNCT
ejpam-6190	305	1	master	master	NOUN
ejpam-6190	305	2	’s	’s	PART
ejpam-6190	305	3	thesis	thesis	NOUN
ejpam-6190	305	4	,	,	PUNCT
ejpam-6190	305	5	university	university	PROPN
ejpam-6190	305	6	of	of	ADP
ejpam-6190	305	7	san	san	PROPN
ejpam-6190	305	8	carlos	carlos	PROPN
ejpam-6190	305	9	,	,	PUNCT
ejpam-6190	305	10	2023	2023	NUM
ejpam-6190	305	11	.	.	PUNCT
ejpam-6190	306	1	j.	j.	PROPN
ejpam-6190	306	2	m.	m.	PROPN
ejpam-6190	306	3	s.	s.	PROPN
ejpam-6190	306	4	leuveras	leuveras	PROPN
ejpam-6190	306	5	,	,	PUNCT
ejpam-6190	306	6	k.	k.	PROPN
ejpam-6190	306	7	b.	b.	PROPN
ejpam-6190	306	8	fuentes	fuentes	PROPN
ejpam-6190	306	9	/	/	SYM
ejpam-6190	306	10	eur	eur	PROPN
ejpam-6190	306	11	.	.	PUNCT
ejpam-6190	307	1	j.	j.	PROPN
ejpam-6190	307	2	pure	pure	PROPN
ejpam-6190	307	3	appl	appl	PROPN
ejpam-6190	307	4	.	.	PROPN
ejpam-6190	307	5	math	math	PROPN
ejpam-6190	307	6	,	,	PUNCT
ejpam-6190	307	7	18	18	NUM
ejpam-6190	307	8	(	(	PUNCT
ejpam-6190	307	9	4	4	NUM
ejpam-6190	307	10	)	)	PUNCT
ejpam-6190	307	11	(	(	PUNCT
ejpam-6190	307	12	2025	2025	NUM
ejpam-6190	307	13	)	)	PUNCT
ejpam-6190	307	14	,	,	PUNCT
ejpam-6190	307	15	6190	6190	NUM
ejpam-6190	307	16	10	10	NUM
ejpam-6190	307	17	of	of	ADP
ejpam-6190	307	18	12	12	NUM
ejpam-6190	307	19	appendix	appendix	NOUN
ejpam-6190	307	20	the	the	DET
ejpam-6190	307	21	following	follow	VERB
ejpam-6190	307	22	python	python	NOUN
ejpam-6190	307	23	program	program	NOUN
ejpam-6190	307	24	was	be	AUX
ejpam-6190	307	25	used	use	VERB
ejpam-6190	307	26	to	to	PART
ejpam-6190	307	27	verify	verify	VERB
ejpam-6190	307	28	example	example	NOUN
ejpam-6190	307	29	1	1	NUM
ejpam-6190	307	30	.	.	PUNCT
ejpam-6190	308	1	the	the	DET
ejpam-6190	308	2	same	same	ADJ
ejpam-6190	308	3	script	script	NOUN
ejpam-6190	308	4	was	be	AUX
ejpam-6190	308	5	used	use	VERB
ejpam-6190	308	6	to	to	PART
ejpam-6190	308	7	perform	perform	VERB
ejpam-6190	308	8	the	the	DET
ejpam-6190	308	9	calculations	calculation	NOUN
ejpam-6190	308	10	needed	need	VERB
ejpam-6190	308	11	in	in	ADP
ejpam-6190	308	12	example	example	NOUN
ejpam-6190	308	13	2	2	NUM
ejpam-6190	308	14	,	,	PUNCT
ejpam-6190	308	15	example	example	NOUN
ejpam-6190	308	16	3	3	NUM
ejpam-6190	308	17	,	,	PUNCT
ejpam-6190	308	18	and	and	CCONJ
ejpam-6190	308	19	example	example	NOUN
ejpam-6190	308	20	4	4	NUM
ejpam-6190	308	21	.	.	X
ejpam-6190	308	22	#	#	NOUN
ejpam-6190	308	23	define	define	VERB
ejpam-6190	308	24	the	the	DET
ejpam-6190	308	25	e	e	NOUN
ejpam-6190	308	26	lements	lement	NOUN
ejpam-6190	308	27	in	in	ADP
ejpam-6190	308	28	the	the	DET
ejpam-6190	308	29	s	s	X
ejpam-6190	308	30	e	e	NOUN
ejpam-6190	308	31	t	t	NOUN
ejpam-6190	308	32	x	x	PUNCT
ejpam-6190	308	33	x	x	PUNCT
ejpam-6190	308	34	=	=	PUNCT
ejpam-6190	309	1	[	[	X
ejpam-6190	309	2	1	1	NUM
ejpam-6190	309	3	,	,	PUNCT
ejpam-6190	309	4	’	'	PUNCT
ejpam-6190	309	5	−1	−1	NOUN
ejpam-6190	309	6	’	'	PUNCT
ejpam-6190	309	7	]	]	PUNCT
ejpam-6190	310	1	#	#	NOUN
ejpam-6190	310	2	define	define	VERB
ejpam-6190	310	3	the	the	DET
ejpam-6190	310	4	b	b	PROPN
ejpam-6190	310	5	u	u	NOUN
ejpam-6190	310	6	l	l	NOUN
ejpam-6190	310	7	l	l	NOUN
ejpam-6190	310	8	e	e	NOUN
ejpam-6190	310	9	t	t	PROPN
ejpam-6190	310	10	opera	opera	NOUN
ejpam-6190	310	11	t	t	PROPN
ejpam-6190	310	12	ion	ion	NOUN
ejpam-6190	310	13	def	def	PROPN
ejpam-6190	310	14	bu	bu	PROPN
ejpam-6190	310	15	l	l	PROPN
ejpam-6190	310	16	l	l	NOUN
ejpam-6190	310	17	e	e	X
ejpam-6190	310	18	t	t	X
ejpam-6190	310	19	(	(	PUNCT
ejpam-6190	310	20	x	x	INTJ
ejpam-6190	310	21	,	,	PUNCT
ejpam-6190	310	22	y	y	PROPN
ejpam-6190	310	23	)	)	PUNCT
ejpam-6190	310	24	:	:	PUNCT
ejpam-6190	311	1	bu	bu	PROPN
ejpam-6190	311	2	l	l	NOUN
ejpam-6190	311	3	l	l	NOUN
ejpam-6190	311	4	e	e	X
ejpam-6190	311	5	t_tab	t_tab	NOUN
ejpam-6190	311	6	l	l	NOUN
ejpam-6190	311	7	e	e	NOUN
ejpam-6190	311	8	=	=	PRON
ejpam-6190	311	9	{	{	PUNCT
ejpam-6190	311	10	(	(	PUNCT
ejpam-6190	311	11	1	1	NUM
ejpam-6190	311	12	,	,	PUNCT
ejpam-6190	311	13	1	1	NUM
ejpam-6190	311	14	)	)	PUNCT
ejpam-6190	311	15	:	:	PUNCT
ejpam-6190	311	16	1	1	NUM
ejpam-6190	311	17	,	,	PUNCT
ejpam-6190	311	18	(	(	PUNCT
ejpam-6190	311	19	1	1	NUM
ejpam-6190	311	20	,	,	PUNCT
ejpam-6190	311	21	’	'	PUNCT
ejpam-6190	311	22	−1	−1	NOUN
ejpam-6190	311	23	’	'	PUNCT
ejpam-6190	311	24	)	)	PUNCT
ejpam-6190	311	25	:	:	PUNCT
ejpam-6190	311	26	’	'	PUNCT
ejpam-6190	311	27	−1	−1	NOUN
ejpam-6190	311	28	’	'	PUNCT
ejpam-6190	311	29	,	,	PUNCT
ejpam-6190	311	30	(	(	PUNCT
ejpam-6190	311	31	’	'	PUNCT
ejpam-6190	311	32	−1	−1	NOUN
ejpam-6190	311	33	’	'	PUNCT
ejpam-6190	311	34	,	,	PUNCT
ejpam-6190	311	35	1	1	NUM
ejpam-6190	311	36	)	)	PUNCT
ejpam-6190	311	37	:	:	PUNCT
ejpam-6190	311	38	’	'	PUNCT
ejpam-6190	311	39	−1	−1	NOUN
ejpam-6190	311	40	’	'	PUNCT
ejpam-6190	311	41	,	,	PUNCT
ejpam-6190	311	42	(	(	PUNCT
ejpam-6190	311	43	’	'	PUNCT
ejpam-6190	311	44	−1	−1	NOUN
ejpam-6190	311	45	’	'	PUNCT
ejpam-6190	311	46	,	,	PUNCT
ejpam-6190	311	47	’	'	PUNCT
ejpam-6190	311	48	−1	−1	NOUN
ejpam-6190	311	49	’	'	PUNCT
ejpam-6190	311	50	)	)	PUNCT
ejpam-6190	311	51	:	:	PUNCT
ejpam-6190	311	52	1	1	X
ejpam-6190	311	53	,	,	PUNCT
ejpam-6190	311	54	}	}	PUNCT
ejpam-6190	311	55	return	return	VERB
ejpam-6190	311	56	bu	bu	ADP
ejpam-6190	311	57	l	l	NOUN
ejpam-6190	311	58	l	l	NOUN
ejpam-6190	311	59	e	e	X
ejpam-6190	311	60	t_tab	t_tab	PROPN
ejpam-6190	311	61	l	l	NOUN
ejpam-6190	311	62	e	e	X
ejpam-6190	311	63	[	[	PUNCT
ejpam-6190	311	64	(	(	PUNCT
ejpam-6190	311	65	x	x	SYM
ejpam-6190	311	66	,	,	PUNCT
ejpam-6190	311	67	y	y	PROPN
ejpam-6190	311	68	)	)	PUNCT
ejpam-6190	311	69	]	]	PUNCT
ejpam-6190	312	1	#	#	NOUN
ejpam-6190	312	2	define	define	VERB
ejpam-6190	312	3	the	the	DET
ejpam-6190	312	4	a	a	DET
ejpam-6190	312	5	s	s	PROPN
ejpam-6190	312	6	t	t	NOUN
ejpam-6190	312	7	opera	opera	NOUN
ejpam-6190	312	8	t	t	PROPN
ejpam-6190	312	9	ion	ion	NOUN
ejpam-6190	312	10	def	def	NOUN
ejpam-6190	312	11	as	as	ADP
ejpam-6190	312	12	t	t	PROPN
ejpam-6190	312	13	(	(	PUNCT
ejpam-6190	312	14	x	x	INTJ
ejpam-6190	312	15	,	,	PUNCT
ejpam-6190	312	16	y	y	PROPN
ejpam-6190	312	17	)	)	PUNCT
ejpam-6190	312	18	:	:	PUNCT
ejpam-6190	312	19	as	as	ADP
ejpam-6190	312	20	t_table	t_table	ADJ
ejpam-6190	312	21	=	=	NOUN
ejpam-6190	312	22	{	{	PUNCT
ejpam-6190	312	23	(	(	PUNCT
ejpam-6190	312	24	1	1	NUM
ejpam-6190	312	25	,	,	PUNCT
ejpam-6190	312	26	1	1	NUM
ejpam-6190	312	27	)	)	PUNCT
ejpam-6190	312	28	:	:	PUNCT
ejpam-6190	312	29	1	1	NUM
ejpam-6190	312	30	,	,	PUNCT
ejpam-6190	312	31	(	(	PUNCT
ejpam-6190	312	32	1	1	NUM
ejpam-6190	312	33	,	,	PUNCT
ejpam-6190	312	34	’	'	PUNCT
ejpam-6190	312	35	−1	−1	NOUN
ejpam-6190	312	36	’	'	PUNCT
ejpam-6190	312	37	)	)	PUNCT
ejpam-6190	312	38	:	:	PUNCT
ejpam-6190	312	39	’	'	PUNCT
ejpam-6190	312	40	−1	−1	NOUN
ejpam-6190	312	41	’	'	PUNCT
ejpam-6190	312	42	,	,	PUNCT
ejpam-6190	312	43	(	(	PUNCT
ejpam-6190	312	44	’	'	PUNCT
ejpam-6190	312	45	−1	−1	NOUN
ejpam-6190	312	46	’	'	PUNCT
ejpam-6190	312	47	,	,	PUNCT
ejpam-6190	312	48	1	1	NUM
ejpam-6190	312	49	)	)	PUNCT
ejpam-6190	312	50	:	:	PUNCT
ejpam-6190	312	51	’	'	PUNCT
ejpam-6190	312	52	−1	−1	NOUN
ejpam-6190	312	53	’	'	PUNCT
ejpam-6190	312	54	,	,	PUNCT
ejpam-6190	312	55	(	(	PUNCT
ejpam-6190	312	56	’	'	PUNCT
ejpam-6190	312	57	−1	−1	NOUN
ejpam-6190	312	58	’	'	PUNCT
ejpam-6190	312	59	,	,	PUNCT
ejpam-6190	312	60	’	'	PUNCT
ejpam-6190	312	61	−1	−1	NOUN
ejpam-6190	312	62	’	'	PUNCT
ejpam-6190	312	63	)	)	PUNCT
ejpam-6190	312	64	:	:	PUNCT
ejpam-6190	312	65	1	1	NUM
ejpam-6190	312	66	,	,	PUNCT
ejpam-6190	312	67	}	}	PUNCT
ejpam-6190	312	68	return	return	VERB
ejpam-6190	312	69	ast_table	ast_table	ADJ
ejpam-6190	312	70	[	[	PUNCT
ejpam-6190	312	71	(	(	PUNCT
ejpam-6190	312	72	x	x	SYM
ejpam-6190	312	73	,	,	PUNCT
ejpam-6190	312	74	y	y	PROPN
ejpam-6190	312	75	)	)	PUNCT
ejpam-6190	312	76	]	]	PUNCT
ejpam-6190	313	1	#	#	NOUN
ejpam-6190	313	2	define	define	VERB
ejpam-6190	313	3	the	the	DET
ejpam-6190	313	4	cons	con	NOUN
ejpam-6190	313	5	tant	tant	NOUN
ejpam-6190	313	6	1	1	NUM
ejpam-6190	313	7	constant	constant	ADJ
ejpam-6190	313	8	=	=	SYM
ejpam-6190	313	9	1	1	NUM
ejpam-6190	313	10	#	#	NOUN
ejpam-6190	313	11	ver	ver	NOUN
ejpam-6190	313	12	i	i	PRON
ejpam-6190	313	13	fy	fy	PROPN
ejpam-6190	313	14	axiom	axiom	NOUN
ejpam-6190	313	15	pdb1	pdb1	PROPN
ejpam-6190	313	16	:	:	PUNCT
ejpam-6190	313	17	x	x	PUNCT
ejpam-6190	313	18	b	b	X
ejpam-6190	313	19	u	u	NOUN
ejpam-6190	313	20	l	l	NOUN
ejpam-6190	313	21	l	l	NOUN
ejpam-6190	313	22	e	e	NOUN
ejpam-6190	313	23	t	t	NOUN
ejpam-6190	313	24	x	x	SYM
ejpam-6190	313	25	=	=	SYM
ejpam-6190	313	26	1	1	NUM
ejpam-6190	313	27	and	and	CCONJ
ejpam-6190	313	28	x	x	SYM
ejpam-6190	313	29	a	a	DET
ejpam-6190	313	30	s	s	X
ejpam-6190	313	31	t	t	NOUN
ejpam-6190	313	32	x	x	SYM
ejpam-6190	313	33	=	=	SYM
ejpam-6190	313	34	1	1	NUM
ejpam-6190	313	35	def	def	PROPN
ejpam-6190	313	36	check_pdb1	check_pdb1	NOUN
ejpam-6190	313	37	(	(	PUNCT
ejpam-6190	313	38	)	)	PUNCT
ejpam-6190	313	39	:	:	PUNCT
ejpam-6190	313	40	print	print	NOUN
ejpam-6190	313	41	(	(	PUNCT
ejpam-6190	313	42	”	"	PUNCT
ejpam-6190	313	43	checking	check	VERB
ejpam-6190	313	44	␣	␣	ADJ
ejpam-6190	313	45	pdb1	pdb1	NOUN
ejpam-6190	313	46	:	:	PUNCT
ejpam-6190	313	47	␣	␣	ADJ
ejpam-6190	313	48	x	x	SYM
ejpam-6190	313	49	␣	␣	ADJ
ejpam-6190	313	50	bu	bu	PROPN
ejpam-6190	313	51	l	l	NOUN
ejpam-6190	313	52	l	l	NOUN
ejpam-6190	313	53	e	e	X
ejpam-6190	313	54	t	t	PROPN
ejpam-6190	313	55	␣	␣	PROPN
ejpam-6190	313	56	x	x	PROPN
ejpam-6190	313	57	␣	␣	ADJ
ejpam-6190	313	58	=	=	ADJ
ejpam-6190	313	59	␣	␣	ADJ
ejpam-6190	313	60	1	1	NUM
ejpam-6190	313	61	␣	␣	ADJ
ejpam-6190	313	62	and	and	CCONJ
ejpam-6190	313	63	␣	␣	ADJ
ejpam-6190	313	64	x	x	SYM
ejpam-6190	313	65	␣	␣	PROPN
ejpam-6190	313	66	as	as	ADP
ejpam-6190	313	67	t	t	PROPN
ejpam-6190	313	68	␣	␣	PROPN
ejpam-6190	313	69	x	x	PROPN
ejpam-6190	313	70	␣	␣	ADJ
ejpam-6190	313	71	=	=	ADJ
ejpam-6190	313	72	␣	␣	ADJ
ejpam-6190	313	73	1	1	NUM
ejpam-6190	313	74	”	"	PUNCT
ejpam-6190	313	75	)	)	PUNCT
ejpam-6190	313	76	for	for	ADP
ejpam-6190	313	77	x	x	PRON
ejpam-6190	313	78	in	in	ADP
ejpam-6190	313	79	x	x	NOUN
ejpam-6190	313	80	:	:	PUNCT
ejpam-6190	313	81	bu	bu	PROPN
ejpam-6190	313	82	l	l	NOUN
ejpam-6190	313	83	l	l	NOUN
ejpam-6190	313	84	e	e	NOUN
ejpam-6190	313	85	t	t	NOUN
ejpam-6190	313	86	_	_	PUNCT
ejpam-6190	313	87	r	r	NOUN
ejpam-6190	313	88	e	e	X
ejpam-6190	313	89	s	s	X
ejpam-6190	313	90	u	u	X
ejpam-6190	313	91	l	l	NOUN
ejpam-6190	313	92	t	t	NOUN
ejpam-6190	313	93	=	=	PUNCT
ejpam-6190	313	94	bu	bu	PROPN
ejpam-6190	313	95	l	l	NOUN
ejpam-6190	313	96	l	l	NOUN
ejpam-6190	313	97	e	e	X
ejpam-6190	313	98	t	t	X
ejpam-6190	313	99	(	(	PUNCT
ejpam-6190	313	100	x	x	X
ejpam-6190	313	101	,	,	PUNCT
ejpam-6190	313	102	x	x	PROPN
ejpam-6190	313	103	)	)	PUNCT
ejpam-6190	313	104	a	a	DET
ejpam-6190	313	105	s	s	NOUN
ejpam-6190	313	106	t_re	t_re	PROPN
ejpam-6190	313	107	su	su	PROPN
ejpam-6190	313	108	l	l	PROPN
ejpam-6190	313	109	t	t	PROPN
ejpam-6190	313	110	=	=	PUNCT
ejpam-6190	313	111	as	as	ADP
ejpam-6190	313	112	t	t	PROPN
ejpam-6190	313	113	(	(	PUNCT
ejpam-6190	313	114	x	x	X
ejpam-6190	313	115	,	,	PUNCT
ejpam-6190	313	116	x	x	SYM
ejpam-6190	313	117	)	)	PUNCT
ejpam-6190	313	118	print	print	NOUN
ejpam-6190	313	119	(	(	PUNCT
ejpam-6190	313	120	f	f	NOUN
ejpam-6190	313	121	”	"	PUNCT
ejpam-6190	313	122	x	x	PROPN
ejpam-6190	313	123	␣	␣	ADJ
ejpam-6190	313	124	=	=	ADJ
ejpam-6190	313	125	␣	␣	ADJ
ejpam-6190	313	126	{x	{x	PROPN
ejpam-6190	313	127	}	}	PUNCT
ejpam-6190	313	128	:	:	PUNCT
ejpam-6190	314	1	␣	␣	ADJ
ejpam-6190	314	2	{	{	PUNCT
ejpam-6190	314	3	x	x	NOUN
ejpam-6190	314	4	}	}	PUNCT
ejpam-6190	314	5	␣	␣	NUM
ejpam-6190	314	6	bu	bu	PROPN
ejpam-6190	314	7	l	l	NOUN
ejpam-6190	314	8	l	l	NOUN
ejpam-6190	314	9	e	e	X
ejpam-6190	314	10	t	t	PROPN
ejpam-6190	314	11	␣	␣	PROPN
ejpam-6190	314	12	{	{	PUNCT
ejpam-6190	314	13	x}	x}	PROPN
ejpam-6190	314	14	␣	␣	PROPN
ejpam-6190	314	15	=	=	SYM
ejpam-6190	314	16	␣	␣	ADJ
ejpam-6190	314	17	{	{	PUNCT
ejpam-6190	314	18	bu	bu	ADP
ejpam-6190	314	19	l	l	NOUN
ejpam-6190	314	20	l	l	NOUN
ejpam-6190	314	21	e	e	NOUN
ejpam-6190	314	22	t	t	NOUN
ejpam-6190	314	23	_	_	PUNCT
ejpam-6190	314	24	r	r	NOUN
ejpam-6190	314	25	e	e	X
ejpam-6190	314	26	s	s	X
ejpam-6190	314	27	u	u	X
ejpam-6190	314	28	l	l	NOUN
ejpam-6190	314	29	t	t	NOUN
ejpam-6190	314	30	}	}	PUNCT
ejpam-6190	314	31	,	,	PUNCT
ejpam-6190	314	32	␣	␣	ADJ
ejpam-6190	314	33	{	{	PUNCT
ejpam-6190	314	34	x	x	NOUN
ejpam-6190	314	35	}	}	PUNCT
ejpam-6190	314	36	␣	␣	NUM
ejpam-6190	314	37	as	as	ADP
ejpam-6190	314	38	t	t	PROPN
ejpam-6190	314	39	␣	␣	NUM
ejpam-6190	314	40	{	{	PUNCT
ejpam-6190	314	41	x	x	NOUN
ejpam-6190	314	42	}	}	PUNCT
ejpam-6190	314	43	␣	␣	ADJ
ejpam-6190	314	44	=	=	SYM
ejpam-6190	314	45	␣	␣	PROPN
ejpam-6190	314	46	{	{	PUNCT
ejpam-6190	314	47	a	a	DET
ejpam-6190	314	48	s	s	PROPN
ejpam-6190	314	49	t_re	t_re	PROPN
ejpam-6190	314	50	su	su	PROPN
ejpam-6190	314	51	l	l	PROPN
ejpam-6190	314	52	t	t	PROPN
ejpam-6190	314	53	}	}	PUNCT
ejpam-6190	314	54	”	"	PUNCT
ejpam-6190	314	55	)	)	PUNCT
ejpam-6190	314	56	i	i	PRON
ejpam-6190	314	57	f	f	PROPN
ejpam-6190	314	58	bu	bu	PROPN
ejpam-6190	314	59	l	l	X
ejpam-6190	314	60	l	l	NOUN
ejpam-6190	314	61	e	e	NOUN
ejpam-6190	314	62	t	t	NOUN
ejpam-6190	314	63	_	_	PUNCT
ejpam-6190	314	64	r	r	NOUN
ejpam-6190	314	65	e	e	X
ejpam-6190	314	66	s	s	X
ejpam-6190	314	67	u	u	X
ejpam-6190	314	68	l	l	NOUN
ejpam-6190	314	69	t	t	NOUN
ejpam-6190	314	70	!	!	PUNCT
ejpam-6190	315	1	=	=	NOUN
ejpam-6190	315	2	constant	constant	ADJ
ejpam-6190	315	3	or	or	CCONJ
ejpam-6190	315	4	a	a	DET
ejpam-6190	315	5	s	s	NOUN
ejpam-6190	315	6	t_re	t_re	PROPN
ejpam-6190	315	7	su	su	PROPN
ejpam-6190	315	8	l	l	PROPN
ejpam-6190	315	9	t	t	NOUN
ejpam-6190	315	10	!	!	PUNCT
ejpam-6190	316	1	=	=	NOUN
ejpam-6190	316	2	constant	constant	ADJ
ejpam-6190	316	3	:	:	PUNCT
ejpam-6190	316	4	print	print	NOUN
ejpam-6190	316	5	(	(	PUNCT
ejpam-6190	316	6	”	"	PUNCT
ejpam-6190	316	7	pdb1	pdb1	PROPN
ejpam-6190	316	8	␣	␣	NUM
ejpam-6190	316	9	f	f	PROPN
ejpam-6190	317	1	a	a	PRON
ejpam-6190	317	2	i	i	NOUN
ejpam-6190	317	3	l	l	NOUN
ejpam-6190	317	4	s	s	PART
ejpam-6190	317	5	.	.	PUNCT
ejpam-6190	317	6	”	"	PUNCT
ejpam-6190	318	1	)	)	PUNCT
ejpam-6190	318	2	return	return	VERB
ejpam-6190	318	3	false	false	ADJ
ejpam-6190	318	4	print	print	NOUN
ejpam-6190	318	5	(	(	PUNCT
ejpam-6190	318	6	”	"	PUNCT
ejpam-6190	318	7	pdb1	pdb1	NOUN
ejpam-6190	318	8	␣	␣	NOUN
ejpam-6190	318	9	holds	hold	VERB
ejpam-6190	318	10	.	.	PUNCT
ejpam-6190	318	11	”	"	PUNCT
ejpam-6190	319	1	)	)	PUNCT
ejpam-6190	319	2	return	return	VERB
ejpam-6190	319	3	true	true	ADJ
ejpam-6190	319	4	#	#	NOUN
ejpam-6190	319	5	ver	ver	NOUN
ejpam-6190	319	6	i	i	PRON
ejpam-6190	319	7	fy	fy	PROPN
ejpam-6190	319	8	axiom	axiom	PROPN
ejpam-6190	319	9	pdb2	pdb2	PROPN
ejpam-6190	319	10	:	:	PUNCT
ejpam-6190	319	11	1	1	NUM
ejpam-6190	319	12	b	b	X
ejpam-6190	319	13	u	u	NOUN
ejpam-6190	319	14	l	l	NOUN
ejpam-6190	319	15	l	l	NOUN
ejpam-6190	319	16	e	e	NOUN
ejpam-6190	319	17	t	t	NOUN
ejpam-6190	319	18	x	x	PUNCT
ejpam-6190	320	1	=	=	PUNCT
ejpam-6190	320	2	x	x	X
ejpam-6190	320	3	and	and	CCONJ
ejpam-6190	320	4	1	1	NUM
ejpam-6190	320	5	as	as	ADP
ejpam-6190	320	6	t	t	NOUN
ejpam-6190	320	7	x	x	PUNCT
ejpam-6190	320	8	=	=	PUNCT
ejpam-6190	320	9	x	x	SYM
ejpam-6190	320	10	def	def	PROPN
ejpam-6190	320	11	check_pdb2	check_pdb2	NOUN
ejpam-6190	320	12	(	(	PUNCT
ejpam-6190	320	13	)	)	PUNCT
ejpam-6190	320	14	:	:	PUNCT
ejpam-6190	320	15	print	print	NOUN
ejpam-6190	320	16	(	(	PUNCT
ejpam-6190	320	17	”	"	PUNCT
ejpam-6190	320	18	\nchecking	\nchecking	PROPN
ejpam-6190	320	19	␣	␣	ADJ
ejpam-6190	320	20	pdb2	pdb2	NOUN
ejpam-6190	320	21	:	:	PUNCT
ejpam-6190	320	22	␣	␣	ADJ
ejpam-6190	320	23	1	1	NUM
ejpam-6190	320	24	␣	␣	NUM
ejpam-6190	320	25	bu	bu	PROPN
ejpam-6190	320	26	l	l	NOUN
ejpam-6190	320	27	l	l	NOUN
ejpam-6190	320	28	e	e	X
ejpam-6190	320	29	t	t	PROPN
ejpam-6190	320	30	␣	␣	PROPN
ejpam-6190	320	31	x	x	PROPN
ejpam-6190	320	32	␣	␣	ADJ
ejpam-6190	320	33	=	=	ADJ
ejpam-6190	320	34	␣	␣	ADJ
ejpam-6190	320	35	x	x	ADJ
ejpam-6190	320	36	␣	␣	ADJ
ejpam-6190	320	37	and	and	CCONJ
ejpam-6190	320	38	␣	␣	ADJ
ejpam-6190	320	39	1	1	NUM
ejpam-6190	320	40	␣	␣	NUM
ejpam-6190	320	41	as	as	ADP
ejpam-6190	320	42	t	t	PROPN
ejpam-6190	320	43	␣	␣	PROPN
ejpam-6190	320	44	x	x	PROPN
ejpam-6190	320	45	␣	␣	ADJ
ejpam-6190	320	46	=	=	SYM
ejpam-6190	320	47	␣	␣	NOUN
ejpam-6190	320	48	x	x	NOUN
ejpam-6190	320	49	”	"	PUNCT
ejpam-6190	320	50	)	)	PUNCT
ejpam-6190	320	51	for	for	ADP
ejpam-6190	320	52	x	x	PRON
ejpam-6190	320	53	in	in	ADP
ejpam-6190	320	54	x	x	NOUN
ejpam-6190	320	55	:	:	PUNCT
ejpam-6190	320	56	bu	bu	PROPN
ejpam-6190	320	57	l	l	NOUN
ejpam-6190	320	58	l	l	NOUN
ejpam-6190	320	59	e	e	NOUN
ejpam-6190	320	60	t	t	NOUN
ejpam-6190	320	61	_	_	PUNCT
ejpam-6190	320	62	r	r	NOUN
ejpam-6190	320	63	e	e	X
ejpam-6190	320	64	s	s	X
ejpam-6190	320	65	u	u	X
ejpam-6190	320	66	l	l	NOUN
ejpam-6190	320	67	t	t	NOUN
ejpam-6190	320	68	=	=	PUNCT
ejpam-6190	320	69	bu	bu	PROPN
ejpam-6190	320	70	l	l	NOUN
ejpam-6190	320	71	l	l	NOUN
ejpam-6190	320	72	e	e	X
ejpam-6190	320	73	t	t	X
ejpam-6190	320	74	(	(	PUNCT
ejpam-6190	320	75	constant	constant	ADJ
ejpam-6190	320	76	,	,	PUNCT
ejpam-6190	320	77	x	x	X
ejpam-6190	320	78	)	)	PUNCT
ejpam-6190	320	79	a	a	DET
ejpam-6190	320	80	s	s	NOUN
ejpam-6190	320	81	t_re	t_re	PROPN
ejpam-6190	320	82	su	su	PROPN
ejpam-6190	320	83	l	l	PROPN
ejpam-6190	320	84	t	t	PROPN
ejpam-6190	320	85	=	=	PUNCT
ejpam-6190	320	86	as	as	ADP
ejpam-6190	320	87	t	t	PROPN
ejpam-6190	320	88	(	(	PUNCT
ejpam-6190	320	89	constant	constant	ADJ
ejpam-6190	320	90	,	,	PUNCT
ejpam-6190	320	91	x	x	SYM
ejpam-6190	320	92	)	)	PUNCT
ejpam-6190	320	93	print	print	NOUN
ejpam-6190	320	94	(	(	PUNCT
ejpam-6190	320	95	f	f	NOUN
ejpam-6190	320	96	”	"	PUNCT
ejpam-6190	320	97	x	x	PROPN
ejpam-6190	320	98	␣	␣	ADJ
ejpam-6190	320	99	=	=	ADJ
ejpam-6190	320	100	␣	␣	ADJ
ejpam-6190	320	101	{x	{x	PROPN
ejpam-6190	320	102	}	}	PUNCT
ejpam-6190	320	103	:	:	PUNCT
ejpam-6190	320	104	␣	␣	ADJ
ejpam-6190	320	105	1	1	NUM
ejpam-6190	320	106	␣	␣	NUM
ejpam-6190	320	107	bu	bu	PROPN
ejpam-6190	320	108	l	l	NOUN
ejpam-6190	320	109	l	l	NOUN
ejpam-6190	320	110	e	e	X
ejpam-6190	320	111	t	t	PROPN
ejpam-6190	320	112	␣	␣	PROPN
ejpam-6190	320	113	{	{	PUNCT
ejpam-6190	320	114	x}	x}	PROPN
ejpam-6190	320	115	␣	␣	PROPN
ejpam-6190	320	116	=	=	SYM
ejpam-6190	320	117	␣	␣	ADJ
ejpam-6190	320	118	{	{	PUNCT
ejpam-6190	320	119	bu	bu	ADP
ejpam-6190	320	120	l	l	NOUN
ejpam-6190	320	121	l	l	NOUN
ejpam-6190	320	122	e	e	NOUN
ejpam-6190	320	123	t	t	NOUN
ejpam-6190	320	124	_	_	PUNCT
ejpam-6190	320	125	r	r	NOUN
ejpam-6190	320	126	e	e	X
ejpam-6190	320	127	s	s	X
ejpam-6190	320	128	u	u	X
ejpam-6190	320	129	l	l	NOUN
ejpam-6190	320	130	t	t	NOUN
ejpam-6190	320	131	}	}	PUNCT
ejpam-6190	320	132	,	,	PUNCT
ejpam-6190	320	133	␣	␣	PROPN
ejpam-6190	320	134	1	1	NUM
ejpam-6190	320	135	␣	␣	NUM
ejpam-6190	320	136	as	as	ADP
ejpam-6190	320	137	t	t	PROPN
ejpam-6190	320	138	␣	␣	PROPN
ejpam-6190	320	139	{	{	PUNCT
ejpam-6190	320	140	x}	x}	PROPN
ejpam-6190	320	141	␣	␣	PROPN
ejpam-6190	320	142	=	=	SYM
ejpam-6190	320	143	␣	␣	PROPN
ejpam-6190	320	144	{	{	PUNCT
ejpam-6190	320	145	a	a	DET
ejpam-6190	320	146	s	s	PROPN
ejpam-6190	320	147	t_re	t_re	PROPN
ejpam-6190	320	148	su	su	PROPN
ejpam-6190	320	149	l	l	PROPN
ejpam-6190	320	150	t	t	PROPN
ejpam-6190	320	151	}	}	PUNCT
ejpam-6190	320	152	”	"	PUNCT
ejpam-6190	320	153	)	)	PUNCT
ejpam-6190	321	1	i	i	PRON
ejpam-6190	321	2	f	f	PROPN
ejpam-6190	321	3	bu	bu	PROPN
ejpam-6190	321	4	l	l	X
ejpam-6190	321	5	l	l	NOUN
ejpam-6190	321	6	e	e	NOUN
ejpam-6190	321	7	t	t	NOUN
ejpam-6190	321	8	_	_	PUNCT
ejpam-6190	321	9	r	r	NOUN
ejpam-6190	321	10	e	e	X
ejpam-6190	321	11	s	s	X
ejpam-6190	321	12	u	u	X
ejpam-6190	321	13	l	l	NOUN
ejpam-6190	321	14	t	t	NOUN
ejpam-6190	321	15	!	!	PUNCT
ejpam-6190	322	1	=	=	PUNCT
ejpam-6190	323	1	x	x	X
ejpam-6190	323	2	or	or	CCONJ
ejpam-6190	323	3	a	a	DET
ejpam-6190	323	4	s	s	NOUN
ejpam-6190	323	5	t_re	t_re	PROPN
ejpam-6190	323	6	su	su	PROPN
ejpam-6190	323	7	l	l	PROPN
ejpam-6190	323	8	t	t	NOUN
ejpam-6190	323	9	!	!	PUNCT
ejpam-6190	324	1	=	=	PUNCT
ejpam-6190	325	1	x	x	X
ejpam-6190	325	2	:	:	PUNCT
ejpam-6190	325	3	print	print	NOUN
ejpam-6190	325	4	(	(	PUNCT
ejpam-6190	325	5	”	"	PUNCT
ejpam-6190	325	6	pdb2	pdb2	PROPN
ejpam-6190	325	7	␣	␣	NUM
ejpam-6190	325	8	f	f	PROPN
ejpam-6190	325	9	a	a	PRON
ejpam-6190	326	1	i	i	NOUN
ejpam-6190	326	2	l	l	NOUN
ejpam-6190	326	3	s	s	PART
ejpam-6190	326	4	.	.	PUNCT
ejpam-6190	326	5	”	"	PUNCT
ejpam-6190	327	1	)	)	PUNCT
ejpam-6190	327	2	return	return	VERB
ejpam-6190	327	3	false	false	ADJ
ejpam-6190	327	4	print	print	NOUN
ejpam-6190	327	5	(	(	PUNCT
ejpam-6190	327	6	”	"	PUNCT
ejpam-6190	327	7	pdb2	pdb2	PROPN
ejpam-6190	327	8	␣	␣	NOUN
ejpam-6190	327	9	holds	hold	VERB
ejpam-6190	327	10	.	.	PUNCT
ejpam-6190	327	11	”	"	PUNCT
ejpam-6190	328	1	)	)	PUNCT
ejpam-6190	328	2	return	return	VERB
ejpam-6190	328	3	true	true	ADJ
ejpam-6190	328	4	j.	j.	PROPN
ejpam-6190	328	5	m.	m.	PROPN
ejpam-6190	328	6	s.	s.	PROPN
ejpam-6190	328	7	leuveras	leuveras	PROPN
ejpam-6190	328	8	,	,	PUNCT
ejpam-6190	328	9	k.	k.	PROPN
ejpam-6190	328	10	b.	b.	PROPN
ejpam-6190	328	11	fuentes	fuentes	PROPN
ejpam-6190	328	12	/	/	SYM
ejpam-6190	328	13	eur	eur	PROPN
ejpam-6190	328	14	.	.	PUNCT
ejpam-6190	329	1	j.	j.	PROPN
ejpam-6190	329	2	pure	pure	PROPN
ejpam-6190	329	3	appl	appl	PROPN
ejpam-6190	329	4	.	.	PROPN
ejpam-6190	329	5	math	math	PROPN
ejpam-6190	329	6	,	,	PUNCT
ejpam-6190	329	7	18	18	NUM
ejpam-6190	329	8	(	(	PUNCT
ejpam-6190	329	9	4	4	NUM
ejpam-6190	329	10	)	)	PUNCT
ejpam-6190	329	11	(	(	PUNCT
ejpam-6190	329	12	2025	2025	NUM
ejpam-6190	329	13	)	)	PUNCT
ejpam-6190	329	14	,	,	PUNCT
ejpam-6190	329	15	6190	6190	NUM
ejpam-6190	329	16	11	11	NUM
ejpam-6190	329	17	of	of	ADP
ejpam-6190	329	18	12	12	NUM
ejpam-6190	329	19	#	#	NOUN
ejpam-6190	329	20	ver	ver	NOUN
ejpam-6190	329	21	i	i	PRON
ejpam-6190	329	22	fy	fy	PROPN
ejpam-6190	329	23	axiom	axiom	NOUN
ejpam-6190	329	24	pdb3	pdb3	PROPN
ejpam-6190	329	25	#	#	NOUN
ejpam-6190	329	26	x	x	SYM
ejpam-6190	329	27	b	b	NOUN
ejpam-6190	329	28	u	u	NOUN
ejpam-6190	329	29	l	l	NOUN
ejpam-6190	329	30	l	l	NOUN
ejpam-6190	329	31	e	e	X
ejpam-6190	329	32	t	t	PROPN
ejpam-6190	329	33	(	(	PUNCT
ejpam-6190	329	34	y	y	PROPN
ejpam-6190	329	35	a	a	X
ejpam-6190	329	36	s	s	PROPN
ejpam-6190	329	37	t	t	NOUN
ejpam-6190	329	38	z	z	NOUN
ejpam-6190	329	39	)	)	PUNCT
ejpam-6190	330	1	=	=	PUNCT
ejpam-6190	330	2	(	(	PUNCT
ejpam-6190	330	3	(	(	PUNCT
ejpam-6190	330	4	y	y	PROPN
ejpam-6190	330	5	a	a	X
ejpam-6190	330	6	s	s	X
ejpam-6190	330	7	t	t	NOUN
ejpam-6190	330	8	1	1	NUM
ejpam-6190	330	9	)	)	PUNCT
ejpam-6190	330	10	b	b	NOUN
ejpam-6190	330	11	u	u	NOUN
ejpam-6190	330	12	l	l	NOUN
ejpam-6190	330	13	l	l	NOUN
ejpam-6190	330	14	e	e	NOUN
ejpam-6190	330	15	t	t	NOUN
ejpam-6190	330	16	x	x	X
ejpam-6190	330	17	)	)	PUNCT
ejpam-6190	331	1	b	b	SYM
ejpam-6190	331	2	u	u	NOUN
ejpam-6190	331	3	l	l	NOUN
ejpam-6190	331	4	l	l	NOUN
ejpam-6190	331	5	e	e	NOUN
ejpam-6190	331	6	t	t	NOUN
ejpam-6190	331	7	z	z	NOUN
ejpam-6190	331	8	#	#	NOUN
ejpam-6190	331	9	x	x	PROPN
ejpam-6190	331	10	as	as	ADP
ejpam-6190	331	11	t	t	PROPN
ejpam-6190	331	12	(	(	PUNCT
ejpam-6190	331	13	y	y	PROPN
ejpam-6190	331	14	b	b	PROPN
ejpam-6190	331	15	u	u	PROPN
ejpam-6190	331	16	l	l	NOUN
ejpam-6190	331	17	l	l	NOUN
ejpam-6190	331	18	e	e	X
ejpam-6190	331	19	t	t	PROPN
ejpam-6190	331	20	z	z	PROPN
ejpam-6190	331	21	)	)	PUNCT
ejpam-6190	332	1	=	=	PUNCT
ejpam-6190	332	2	(	(	PUNCT
ejpam-6190	332	3	(	(	PUNCT
ejpam-6190	332	4	y	y	PROPN
ejpam-6190	332	5	b	b	PROPN
ejpam-6190	332	6	u	u	PROPN
ejpam-6190	332	7	l	l	NOUN
ejpam-6190	332	8	l	l	NOUN
ejpam-6190	332	9	e	e	NOUN
ejpam-6190	332	10	t	t	PROPN
ejpam-6190	332	11	1	1	NUM
ejpam-6190	332	12	)	)	PUNCT
ejpam-6190	332	13	a	a	DET
ejpam-6190	332	14	s	s	NOUN
ejpam-6190	332	15	t	t	NOUN
ejpam-6190	332	16	x	x	SYM
ejpam-6190	332	17	)	)	PUNCT
ejpam-6190	332	18	a	a	DET
ejpam-6190	332	19	s	s	ADP
ejpam-6190	332	20	t	t	NOUN
ejpam-6190	332	21	z	z	NOUN
ejpam-6190	332	22	def	def	PROPN
ejpam-6190	332	23	check_pdb3	check_pdb3	NOUN
ejpam-6190	332	24	(	(	PUNCT
ejpam-6190	332	25	)	)	PUNCT
ejpam-6190	332	26	:	:	PUNCT
ejpam-6190	332	27	print	print	NOUN
ejpam-6190	332	28	(	(	PUNCT
ejpam-6190	332	29	”	"	PUNCT
ejpam-6190	332	30	\nchecking	\nchecking	PROPN
ejpam-6190	332	31	␣	␣	PROPN
ejpam-6190	332	32	pdb3	pdb3	NOUN
ejpam-6190	332	33	:	:	PUNCT
ejpam-6190	332	34	”	"	PUNCT
ejpam-6190	332	35	)	)	PUNCT
ejpam-6190	332	36	for	for	ADP
ejpam-6190	332	37	x	x	PRON
ejpam-6190	332	38	in	in	ADP
ejpam-6190	332	39	x	x	NOUN
ejpam-6190	332	40	:	:	PUNCT
ejpam-6190	332	41	for	for	ADP
ejpam-6190	332	42	y	y	PROPN
ejpam-6190	332	43	in	in	ADP
ejpam-6190	332	44	x	x	NOUN
ejpam-6190	332	45	:	:	PUNCT
ejpam-6190	332	46	for	for	ADP
ejpam-6190	332	47	z	z	PROPN
ejpam-6190	332	48	in	in	ADP
ejpam-6190	332	49	x	x	NOUN
ejpam-6190	332	50	:	:	PUNCT
ejpam-6190	332	51	#	#	NOUN
ejpam-6190	332	52	check	check	NOUN
ejpam-6190	332	53	the	the	DET
ejpam-6190	332	54	f	f	X
ejpam-6190	333	1	i	i	PRON
ejpam-6190	333	2	r	r	NOUN
ejpam-6190	333	3	s	s	PROPN
ejpam-6190	333	4	t	t	NOUN
ejpam-6190	333	5	par	par	NOUN
ejpam-6190	333	6	t	t	PROPN
ejpam-6190	333	7	o	o	X
ejpam-6190	334	1	f	f	X
ejpam-6190	334	2	pdb3	pdb3	PROPN
ejpam-6190	334	3	l	l	NOUN
ejpam-6190	334	4	e	e	PROPN
ejpam-6190	334	5	f	f	PROPN
ejpam-6190	334	6	t	t	PROPN
ejpam-6190	334	7	1	1	NUM
ejpam-6190	334	8	=	=	SYM
ejpam-6190	334	9	bu	bu	NOUN
ejpam-6190	334	10	l	l	NOUN
ejpam-6190	334	11	l	l	NOUN
ejpam-6190	334	12	e	e	X
ejpam-6190	334	13	t	t	X
ejpam-6190	334	14	(	(	PUNCT
ejpam-6190	334	15	x	x	INTJ
ejpam-6190	334	16	,	,	PUNCT
ejpam-6190	334	17	a	a	PRON
ejpam-6190	334	18	s	s	X
ejpam-6190	334	19	t	t	NOUN
ejpam-6190	334	20	(	(	PUNCT
ejpam-6190	334	21	y	y	PROPN
ejpam-6190	334	22	,	,	PUNCT
ejpam-6190	334	23	z	z	PROPN
ejpam-6190	334	24	)	)	PUNCT
ejpam-6190	334	25	)	)	PUNCT
ejpam-6190	335	1	r	r	NOUN
ejpam-6190	336	1	i	i	PRON
ejpam-6190	336	2	gh	gh	PROPN
ejpam-6190	336	3	t	t	PROPN
ejpam-6190	336	4	1	1	NUM
ejpam-6190	336	5	=	=	SYM
ejpam-6190	336	6	bu	bu	NOUN
ejpam-6190	336	7	l	l	NOUN
ejpam-6190	336	8	l	l	NOUN
ejpam-6190	336	9	e	e	X
ejpam-6190	336	10	t	t	PROPN
ejpam-6190	336	11	(	(	PUNCT
ejpam-6190	336	12	b	b	NOUN
ejpam-6190	336	13	u	u	NOUN
ejpam-6190	336	14	l	l	NOUN
ejpam-6190	336	15	l	l	NOUN
ejpam-6190	336	16	e	e	X
ejpam-6190	336	17	t	t	X
ejpam-6190	336	18	(	(	PUNCT
ejpam-6190	336	19	a	a	PRON
ejpam-6190	336	20	s	s	PROPN
ejpam-6190	336	21	t	t	NOUN
ejpam-6190	336	22	(	(	PUNCT
ejpam-6190	336	23	y	y	NOUN
ejpam-6190	336	24	,	,	PUNCT
ejpam-6190	336	25	constant	constant	ADJ
ejpam-6190	336	26	)	)	PUNCT
ejpam-6190	336	27	,	,	PUNCT
ejpam-6190	336	28	x	x	X
ejpam-6190	336	29	)	)	PUNCT
ejpam-6190	336	30	,	,	PUNCT
ejpam-6190	336	31	z	z	NOUN
ejpam-6190	336	32	)	)	PUNCT
ejpam-6190	336	33	print	print	NOUN
ejpam-6190	336	34	(	(	PUNCT
ejpam-6190	336	35	f	f	NOUN
ejpam-6190	336	36	”	"	PUNCT
ejpam-6190	336	37	x	x	PROPN
ejpam-6190	336	38	␣	␣	ADJ
ejpam-6190	336	39	=	=	ADJ
ejpam-6190	336	40	␣	␣	ADJ
ejpam-6190	336	41	{x	{x	PROPN
ejpam-6190	336	42	}	}	PUNCT
ejpam-6190	336	43	,	,	PUNCT
ejpam-6190	336	44	␣	␣	PROPN
ejpam-6190	336	45	y	y	PROPN
ejpam-6190	336	46	␣	␣	ADJ
ejpam-6190	336	47	=	=	ADJ
ejpam-6190	336	48	␣	␣	ADJ
ejpam-6190	336	49	{y	{y	PROPN
ejpam-6190	336	50	}	}	PUNCT
ejpam-6190	336	51	,	,	PUNCT
ejpam-6190	336	52	␣	␣	PROPN
ejpam-6190	336	53	z	z	PROPN
ejpam-6190	336	54	␣	␣	ADJ
ejpam-6190	336	55	=	=	SYM
ejpam-6190	336	56	␣	␣	PROPN
ejpam-6190	336	57	{z	{z	PROPN
ejpam-6190	336	58	}	}	PUNCT
ejpam-6190	336	59	:	:	PUNCT
ejpam-6190	336	60	␣	␣	ADJ
ejpam-6190	336	61	x	x	SYM
ejpam-6190	336	62	␣	␣	ADJ
ejpam-6190	336	63	bu	bu	PROPN
ejpam-6190	336	64	l	l	NOUN
ejpam-6190	336	65	l	l	NOUN
ejpam-6190	336	66	e	e	X
ejpam-6190	336	67	t	t	PROPN
ejpam-6190	336	68	␣	␣	NUM
ejpam-6190	336	69	(	(	PUNCT
ejpam-6190	336	70	y	y	PROPN
ejpam-6190	336	71	␣	␣	PROPN
ejpam-6190	336	72	as	as	ADP
ejpam-6190	336	73	t	t	PROPN
ejpam-6190	336	74	␣	␣	PROPN
ejpam-6190	336	75	z	z	PROPN
ejpam-6190	336	76	)	)	PUNCT
ejpam-6190	336	77	␣	␣	PROPN
ejpam-6190	336	78	=	=	SYM
ejpam-6190	336	79	␣	␣	ADJ
ejpam-6190	336	80	{	{	PUNCT
ejpam-6190	336	81	l	l	NOUN
ejpam-6190	336	82	e	e	X
ejpam-6190	336	83	f	f	PROPN
ejpam-6190	336	84	t	t	PROPN
ejpam-6190	336	85	1	1	NUM
ejpam-6190	336	86	}	}	PUNCT
ejpam-6190	336	87	,	,	PUNCT
ejpam-6190	336	88	␣	␣	NUM
ejpam-6190	336	89	(	(	PUNCT
ejpam-6190	336	90	(	(	PUNCT
ejpam-6190	336	91	y	y	PROPN
ejpam-6190	336	92	␣	␣	PROPN
ejpam-6190	336	93	as	as	ADP
ejpam-6190	336	94	t	t	PROPN
ejpam-6190	336	95	␣	␣	PROPN
ejpam-6190	336	96	1	1	NUM
ejpam-6190	336	97	)	)	PUNCT
ejpam-6190	336	98	␣	␣	NUM
ejpam-6190	336	99	bu	bu	PROPN
ejpam-6190	336	100	l	l	NOUN
ejpam-6190	336	101	l	l	NOUN
ejpam-6190	336	102	e	e	X
ejpam-6190	336	103	t	t	PROPN
ejpam-6190	336	104	␣	␣	PROPN
ejpam-6190	336	105	x	x	PROPN
ejpam-6190	336	106	)	)	PUNCT
ejpam-6190	336	107	␣	␣	NUM
ejpam-6190	336	108	bu	bu	PROPN
ejpam-6190	336	109	l	l	NOUN
ejpam-6190	336	110	l	l	NOUN
ejpam-6190	336	111	e	e	NOUN
ejpam-6190	336	112	t	t	PROPN
ejpam-6190	336	113	␣	␣	PROPN
ejpam-6190	336	114	z	z	PROPN
ejpam-6190	336	115	␣	␣	PROPN
ejpam-6190	336	116	=	=	SYM
ejpam-6190	336	117	␣	␣	ADJ
ejpam-6190	336	118	{	{	PUNCT
ejpam-6190	336	119	r	r	NOUN
ejpam-6190	336	120	i	i	PROPN
ejpam-6190	336	121	gh	gh	PROPN
ejpam-6190	336	122	t1	t1	PROPN
ejpam-6190	336	123	}	}	PUNCT
ejpam-6190	336	124	”	"	PUNCT
ejpam-6190	336	125	)	)	PUNCT
ejpam-6190	337	1	i	i	PRON
ejpam-6190	337	2	f	f	X
ejpam-6190	337	3	l	l	NOUN
ejpam-6190	337	4	e	e	X
ejpam-6190	337	5	f	f	PROPN
ejpam-6190	337	6	t	t	PROPN
ejpam-6190	337	7	1	1	NUM
ejpam-6190	337	8	!	!	PUNCT
ejpam-6190	337	9	=	=	PUNCT
ejpam-6190	338	1	r	r	NOUN
ejpam-6190	338	2	i	i	PROPN
ejpam-6190	338	3	gh	gh	PROPN
ejpam-6190	338	4	t1	t1	NOUN
ejpam-6190	338	5	:	:	PUNCT
ejpam-6190	338	6	print	print	NOUN
ejpam-6190	338	7	(	(	PUNCT
ejpam-6190	338	8	”	"	PUNCT
ejpam-6190	338	9	pdb3	pdb3	PROPN
ejpam-6190	338	10	␣	␣	NUM
ejpam-6190	339	1	f	f	PROPN
ejpam-6190	340	1	a	a	DET
ejpam-6190	340	2	i	i	NOUN
ejpam-6190	340	3	l	l	NOUN
ejpam-6190	340	4	s	s	VERB
ejpam-6190	340	5	␣	␣	ADJ
ejpam-6190	340	6	on	on	ADP
ejpam-6190	340	7	␣	␣	NUM
ejpam-6190	340	8	f	f	NOUN
ejpam-6190	341	1	i	i	PRON
ejpam-6190	341	2	r	r	NOUN
ejpam-6190	341	3	s	s	PROPN
ejpam-6190	341	4	t	t	NOUN
ejpam-6190	341	5	␣	␣	ADJ
ejpam-6190	341	6	part	part	NOUN
ejpam-6190	341	7	.	.	PUNCT
ejpam-6190	341	8	”	"	PUNCT
ejpam-6190	342	1	)	)	PUNCT
ejpam-6190	342	2	return	return	VERB
ejpam-6190	342	3	false	false	ADJ
ejpam-6190	342	4	#	#	NOUN
ejpam-6190	342	5	check	check	NOUN
ejpam-6190	342	6	the	the	DET
ejpam-6190	342	7	second	second	ADJ
ejpam-6190	342	8	par	par	NOUN
ejpam-6190	342	9	t	t	PROPN
ejpam-6190	342	10	o	o	X
ejpam-6190	342	11	f	f	X
ejpam-6190	342	12	pdb3	pdb3	PROPN
ejpam-6190	342	13	l	l	NOUN
ejpam-6190	342	14	e	e	PROPN
ejpam-6190	342	15	f	f	PROPN
ejpam-6190	342	16	t	t	PROPN
ejpam-6190	342	17	2	2	NUM
ejpam-6190	342	18	=	=	SYM
ejpam-6190	342	19	ast	ast	NOUN
ejpam-6190	342	20	(	(	PUNCT
ejpam-6190	342	21	x	x	NOUN
ejpam-6190	342	22	,	,	PUNCT
ejpam-6190	342	23	b	b	SYM
ejpam-6190	342	24	u	u	NOUN
ejpam-6190	342	25	l	l	NOUN
ejpam-6190	342	26	l	l	NOUN
ejpam-6190	342	27	e	e	X
ejpam-6190	342	28	t	t	PROPN
ejpam-6190	342	29	(	(	PUNCT
ejpam-6190	342	30	y	y	PROPN
ejpam-6190	342	31	,	,	PUNCT
ejpam-6190	342	32	z	z	PROPN
ejpam-6190	342	33	)	)	PUNCT
ejpam-6190	342	34	)	)	PUNCT
ejpam-6190	343	1	r	r	NOUN
ejpam-6190	344	1	i	i	PRON
ejpam-6190	344	2	gh	gh	PROPN
ejpam-6190	344	3	t	t	PROPN
ejpam-6190	344	4	2	2	NUM
ejpam-6190	344	5	=	=	SYM
ejpam-6190	344	6	ast	ast	NOUN
ejpam-6190	344	7	(	(	PUNCT
ejpam-6190	344	8	a	a	DET
ejpam-6190	344	9	s	s	X
ejpam-6190	344	10	t	t	NOUN
ejpam-6190	344	11	(	(	PUNCT
ejpam-6190	344	12	b	b	NOUN
ejpam-6190	344	13	u	u	NOUN
ejpam-6190	344	14	l	l	NOUN
ejpam-6190	344	15	l	l	NOUN
ejpam-6190	344	16	e	e	X
ejpam-6190	344	17	t	t	PROPN
ejpam-6190	344	18	(	(	PUNCT
ejpam-6190	344	19	y	y	NOUN
ejpam-6190	344	20	,	,	PUNCT
ejpam-6190	344	21	constant	constant	ADJ
ejpam-6190	344	22	)	)	PUNCT
ejpam-6190	344	23	,	,	PUNCT
ejpam-6190	344	24	x	x	X
ejpam-6190	344	25	)	)	PUNCT
ejpam-6190	344	26	,	,	PUNCT
ejpam-6190	344	27	z	z	NOUN
ejpam-6190	344	28	)	)	PUNCT
ejpam-6190	344	29	print	print	NOUN
ejpam-6190	344	30	(	(	PUNCT
ejpam-6190	344	31	f	f	NOUN
ejpam-6190	344	32	”	"	PUNCT
ejpam-6190	344	33	x	x	PROPN
ejpam-6190	344	34	␣	␣	ADJ
ejpam-6190	344	35	=	=	ADJ
ejpam-6190	344	36	␣	␣	ADJ
ejpam-6190	344	37	{x	{x	PROPN
ejpam-6190	344	38	}	}	PUNCT
ejpam-6190	344	39	,	,	PUNCT
ejpam-6190	344	40	␣	␣	PROPN
ejpam-6190	344	41	y	y	PROPN
ejpam-6190	344	42	␣	␣	ADJ
ejpam-6190	344	43	=	=	ADJ
ejpam-6190	344	44	␣	␣	ADJ
ejpam-6190	344	45	{y	{y	PROPN
ejpam-6190	344	46	}	}	PUNCT
ejpam-6190	344	47	,	,	PUNCT
ejpam-6190	344	48	␣	␣	PROPN
ejpam-6190	344	49	z	z	PROPN
ejpam-6190	344	50	␣	␣	ADJ
ejpam-6190	344	51	=	=	SYM
ejpam-6190	344	52	␣	␣	PROPN
ejpam-6190	344	53	{z	{z	PROPN
ejpam-6190	344	54	}	}	PUNCT
ejpam-6190	344	55	:	:	PUNCT
ejpam-6190	344	56	␣	␣	ADJ
ejpam-6190	344	57	x	x	SYM
ejpam-6190	344	58	␣	␣	PROPN
ejpam-6190	344	59	as	as	ADP
ejpam-6190	344	60	t	t	PROPN
ejpam-6190	344	61	␣	␣	NUM
ejpam-6190	344	62	(	(	PUNCT
ejpam-6190	344	63	y	y	PROPN
ejpam-6190	344	64	␣	␣	PROPN
ejpam-6190	344	65	bu	bu	PROPN
ejpam-6190	344	66	l	l	NOUN
ejpam-6190	344	67	l	l	NOUN
ejpam-6190	345	1	e	e	X
ejpam-6190	346	1	t	t	PROPN
ejpam-6190	346	2	␣	␣	PROPN
ejpam-6190	346	3	z	z	PROPN
ejpam-6190	346	4	)	)	PUNCT
ejpam-6190	346	5	␣	␣	PROPN
ejpam-6190	346	6	=	=	SYM
ejpam-6190	346	7	␣	␣	ADJ
ejpam-6190	346	8	{	{	PUNCT
ejpam-6190	346	9	l	l	NOUN
ejpam-6190	346	10	e	e	X
ejpam-6190	346	11	f	f	PROPN
ejpam-6190	346	12	t	t	PROPN
ejpam-6190	346	13	2	2	NUM
ejpam-6190	346	14	}	}	PUNCT
ejpam-6190	346	15	,	,	PUNCT
ejpam-6190	346	16	␣	␣	NUM
ejpam-6190	346	17	(	(	PUNCT
ejpam-6190	346	18	(	(	PUNCT
ejpam-6190	346	19	y	y	PROPN
ejpam-6190	346	20	␣	␣	PROPN
ejpam-6190	346	21	bu	bu	PROPN
ejpam-6190	346	22	l	l	NOUN
ejpam-6190	346	23	l	l	NOUN
ejpam-6190	346	24	e	e	X
ejpam-6190	346	25	t	t	PROPN
ejpam-6190	346	26	␣	␣	PROPN
ejpam-6190	346	27	1	1	NUM
ejpam-6190	346	28	)	)	PUNCT
ejpam-6190	346	29	␣	␣	NUM
ejpam-6190	346	30	as	as	ADP
ejpam-6190	346	31	t	t	PROPN
ejpam-6190	346	32	␣	␣	PROPN
ejpam-6190	346	33	x	x	X
ejpam-6190	346	34	)	)	PUNCT
ejpam-6190	347	1	␣	␣	NUM
ejpam-6190	347	2	as	as	ADP
ejpam-6190	347	3	t	t	PROPN
ejpam-6190	347	4	␣	␣	PROPN
ejpam-6190	347	5	z	z	PROPN
ejpam-6190	347	6	␣	␣	PROPN
ejpam-6190	347	7	=	=	SYM
ejpam-6190	347	8	␣	␣	ADJ
ejpam-6190	347	9	{	{	PUNCT
ejpam-6190	347	10	r	r	NOUN
ejpam-6190	347	11	i	i	PROPN
ejpam-6190	347	12	gh	gh	PROPN
ejpam-6190	347	13	t2	t2	PROPN
ejpam-6190	347	14	}	}	PUNCT
ejpam-6190	347	15	”	"	PUNCT
ejpam-6190	347	16	)	)	PUNCT
ejpam-6190	348	1	i	i	PRON
ejpam-6190	348	2	f	f	X
ejpam-6190	348	3	l	l	NOUN
ejpam-6190	348	4	e	e	X
ejpam-6190	348	5	f	f	PROPN
ejpam-6190	348	6	t	t	PROPN
ejpam-6190	348	7	2	2	NUM
ejpam-6190	348	8	!	!	PUNCT
ejpam-6190	348	9	=	=	NOUN
ejpam-6190	349	1	r	r	NOUN
ejpam-6190	349	2	i	i	NOUN
ejpam-6190	349	3	gh	gh	PROPN
ejpam-6190	349	4	t2	t2	PROPN
ejpam-6190	349	5	:	:	PUNCT
ejpam-6190	349	6	print	print	NOUN
ejpam-6190	349	7	(	(	PUNCT
ejpam-6190	349	8	”	"	PUNCT
ejpam-6190	349	9	pdb3	pdb3	PROPN
ejpam-6190	349	10	␣	␣	NUM
ejpam-6190	350	1	f	f	PROPN
ejpam-6190	351	1	a	a	DET
ejpam-6190	351	2	i	i	NOUN
ejpam-6190	351	3	l	l	NOUN
ejpam-6190	351	4	s	s	VERB
ejpam-6190	351	5	␣	␣	ADJ
ejpam-6190	351	6	on	on	ADP
ejpam-6190	351	7	␣	␣	ADJ
ejpam-6190	351	8	second	second	ADJ
ejpam-6190	351	9	␣	␣	ADJ
ejpam-6190	351	10	part	part	NOUN
ejpam-6190	351	11	.	.	PUNCT
ejpam-6190	351	12	”	"	PUNCT
ejpam-6190	352	1	)	)	PUNCT
ejpam-6190	352	2	return	return	VERB
ejpam-6190	352	3	false	false	ADJ
ejpam-6190	352	4	print	print	NOUN
ejpam-6190	352	5	(	(	PUNCT
ejpam-6190	352	6	”	"	PUNCT
ejpam-6190	352	7	pdb3	pdb3	PROPN
ejpam-6190	352	8	␣	␣	NOUN
ejpam-6190	352	9	holds	hold	VERB
ejpam-6190	352	10	.	.	PUNCT
ejpam-6190	352	11	”	"	PUNCT
ejpam-6190	353	1	)	)	PUNCT
ejpam-6190	353	2	return	return	VERB
ejpam-6190	353	3	true	true	ADJ
ejpam-6190	353	4	#	#	NOUN
ejpam-6190	353	5	main	main	ADJ
ejpam-6190	353	6	func	func	NOUN
ejpam-6190	354	1	t	t	NOUN
ejpam-6190	355	1	i	i	PRON
ejpam-6190	355	2	on	on	ADP
ejpam-6190	355	3	to	to	PART
ejpam-6190	355	4	check	check	VERB
ejpam-6190	355	5	a	a	DET
ejpam-6190	355	6	l	l	NOUN
ejpam-6190	355	7	l	l	NOUN
ejpam-6190	355	8	axioms	axiom	NOUN
ejpam-6190	355	9	def	def	ADJ
ejpam-6190	355	10	verify_pseudo_dual_b_algebra	verify_pseudo_dual_b_algebra	NOUN
ejpam-6190	355	11	(	(	PUNCT
ejpam-6190	355	12	)	)	PUNCT
ejpam-6190	355	13	:	:	PUNCT
ejpam-6190	355	14	print	print	NOUN
ejpam-6190	355	15	(	(	PUNCT
ejpam-6190	355	16	”	"	PUNCT
ejpam-6190	355	17	ver	ver	NOUN
ejpam-6190	356	1	i	i	PRON
ejpam-6190	356	2	f	f	PROPN
ejpam-6190	356	3	y	y	PROPN
ejpam-6190	356	4	ing	ing	PROPN
ejpam-6190	356	5	␣	␣	PROPN
ejpam-6190	356	6	pseudo−dual	pseudo−dual	X
ejpam-6190	356	7	␣	␣	ADJ
ejpam-6190	356	8	b−algebra	b−algebra	ADJ
ejpam-6190	356	9	␣	␣	ADJ
ejpam-6190	356	10	axioms	axiom	NOUN
ejpam-6190	356	11	.	.	PUNCT
ejpam-6190	356	12	.	.	PUNCT
ejpam-6190	356	13	.	.	PUNCT
ejpam-6190	357	1	\	\	PROPN
ejpam-6190	357	2	n	n	CCONJ
ejpam-6190	357	3	”	"	PUNCT
ejpam-6190	357	4	)	)	PUNCT
ejpam-6190	357	5	pdb1	pdb1	NOUN
ejpam-6190	357	6	=	=	SYM
ejpam-6190	357	7	check_pdb1	check_pdb1	PROPN
ejpam-6190	357	8	(	(	PUNCT
ejpam-6190	357	9	)	)	PUNCT
ejpam-6190	357	10	pdb2	pdb2	NOUN
ejpam-6190	357	11	=	=	SYM
ejpam-6190	357	12	check_pdb2	check_pdb2	NOUN
ejpam-6190	357	13	(	(	PUNCT
ejpam-6190	357	14	)	)	PUNCT
ejpam-6190	357	15	pdb3	pdb3	NOUN
ejpam-6190	357	16	=	=	SYM
ejpam-6190	357	17	check_pdb3	check_pdb3	NOUN
ejpam-6190	357	18	(	(	PUNCT
ejpam-6190	357	19	)	)	PUNCT
ejpam-6190	358	1	i	i	PRON
ejpam-6190	358	2	f	f	PROPN
ejpam-6190	358	3	pdb1	pdb1	PROPN
ejpam-6190	358	4	and	and	CCONJ
ejpam-6190	358	5	pdb2	pdb2	NOUN
ejpam-6190	358	6	and	and	CCONJ
ejpam-6190	358	7	pdb3	pdb3	NOUN
ejpam-6190	358	8	:	:	PUNCT
ejpam-6190	358	9	print	print	NOUN
ejpam-6190	358	10	(	(	PUNCT
ejpam-6190	358	11	”	"	PUNCT
ejpam-6190	358	12	\nx	\nx	PROPN
ejpam-6190	358	13	␣	␣	PROPN
ejpam-6190	359	1	i	i	PRON
ejpam-6190	359	2	s	s	PROPN
ejpam-6190	359	3	␣	␣	PROPN
ejpam-6190	359	4	a	a	DET
ejpam-6190	359	5	␣	␣	ADJ
ejpam-6190	359	6	pseudo−db−algebra	pseudo−db−algebra	PROPN
ejpam-6190	359	7	.	.	PUNCT
ejpam-6190	359	8	”	"	PUNCT
ejpam-6190	359	9	)	)	PUNCT
ejpam-6190	359	10	else	else	ADV
ejpam-6190	359	11	:	:	PUNCT
ejpam-6190	359	12	print	print	NOUN
ejpam-6190	359	13	(	(	PUNCT
ejpam-6190	359	14	”	"	PUNCT
ejpam-6190	359	15	\nx	\nx	PROPN
ejpam-6190	359	16	␣	␣	PROPN
ejpam-6190	360	1	i	i	PRON
ejpam-6190	360	2	s	s	PROPN
ejpam-6190	360	3	␣	␣	ADJ
ejpam-6190	360	4	not	not	PART
ejpam-6190	360	5	␣	␣	ADJ
ejpam-6190	360	6	a	a	DET
ejpam-6190	360	7	␣	␣	PROPN
ejpam-6190	360	8	pseudo−db−algebra	pseudo−db−algebra	PROPN
ejpam-6190	360	9	.	.	PUNCT
ejpam-6190	360	10	”	"	PUNCT
ejpam-6190	360	11	)	)	PUNCT
ejpam-6190	361	1	print	print	NOUN
ejpam-6190	361	2	(	(	PUNCT
ejpam-6190	361	3	f	f	X
ejpam-6190	361	4	”	"	PUNCT
ejpam-6190	361	5	pdb1	pdb1	NOUN
ejpam-6190	361	6	:	:	PUNCT
ejpam-6190	361	7	␣	␣	ADJ
ejpam-6190	361	8	{	{	PUNCT
ejpam-6190	361	9	pdb1	pdb1	NOUN
ejpam-6190	361	10	}	}	PUNCT
ejpam-6190	361	11	,	,	PUNCT
ejpam-6190	361	12	␣	␣	ADJ
ejpam-6190	361	13	pdb2	pdb2	NOUN
ejpam-6190	361	14	:	:	PUNCT
ejpam-6190	361	15	␣	␣	ADJ
ejpam-6190	361	16	{	{	PUNCT
ejpam-6190	361	17	pdb2	pdb2	NOUN
ejpam-6190	361	18	}	}	PUNCT
ejpam-6190	361	19	,	,	PUNCT
ejpam-6190	361	20	␣	␣	ADJ
ejpam-6190	361	21	pdb3	pdb3	NOUN
ejpam-6190	361	22	:	:	PUNCT
ejpam-6190	361	23	␣	␣	ADJ
ejpam-6190	361	24	{	{	PUNCT
ejpam-6190	361	25	pdb3	pdb3	NOUN
ejpam-6190	361	26	}	}	PUNCT
ejpam-6190	361	27	”	"	PUNCT
ejpam-6190	361	28	)	)	PUNCT
ejpam-6190	361	29	#	#	NOUN
ejpam-6190	361	30	run	run	VERB
ejpam-6190	361	31	the	the	DET
ejpam-6190	361	32	v	v	NOUN
ejpam-6190	361	33	e	e	NOUN
ejpam-6190	361	34	r	r	NOUN
ejpam-6190	362	1	i	i	PRON
ejpam-6190	362	2	f	f	VERB
ejpam-6190	363	1	i	i	PRON
ejpam-6190	363	2	c	c	VERB
ejpam-6190	363	3	a	a	DET
ejpam-6190	363	4	t	t	NOUN
ejpam-6190	364	1	i	i	PRON
ejpam-6190	364	2	o	o	VERB
ejpam-6190	364	3	n	n	PRON
ejpam-6190	364	4	verify_pseudo_dual_b_algebra	verify_pseudo_dual_b_algebra	NOUN
ejpam-6190	364	5	(	(	PUNCT
ejpam-6190	364	6	)	)	PUNCT
ejpam-6190	364	7	output	output	NOUN
ejpam-6190	364	8	:	:	PUNCT
ejpam-6190	364	9	checking	check	VERB
ejpam-6190	364	10	pdb1	pdb1	NOUN
ejpam-6190	364	11	:	:	PUNCT
ejpam-6190	364	12	x	x	X
ejpam-6190	364	13	bu	bu	ADP
ejpam-6190	364	14	l	l	NOUN
ejpam-6190	364	15	l	l	NOUN
ejpam-6190	364	16	e	e	NOUN
ejpam-6190	364	17	t	t	NOUN
ejpam-6190	364	18	x	x	SYM
ejpam-6190	364	19	=	=	SYM
ejpam-6190	364	20	1	1	NUM
ejpam-6190	364	21	and	and	CCONJ
ejpam-6190	364	22	x	x	NOUN
ejpam-6190	364	23	as	as	ADP
ejpam-6190	364	24	t	t	NOUN
ejpam-6190	364	25	x	x	PUNCT
ejpam-6190	365	1	=	=	SYM
ejpam-6190	365	2	1	1	NUM
ejpam-6190	365	3	x	x	SYM
ejpam-6190	365	4	=	=	SYM
ejpam-6190	365	5	1	1	NUM
ejpam-6190	365	6	:	:	SYM
ejpam-6190	365	7	1	1	NUM
ejpam-6190	365	8	bu	bu	NOUN
ejpam-6190	365	9	l	l	NOUN
ejpam-6190	365	10	l	l	NOUN
ejpam-6190	365	11	e	e	NOUN
ejpam-6190	365	12	t	t	PROPN
ejpam-6190	365	13	1	1	NUM
ejpam-6190	365	14	=	=	SYM
ejpam-6190	365	15	1	1	NUM
ejpam-6190	365	16	,	,	PUNCT
ejpam-6190	365	17	1	1	NUM
ejpam-6190	365	18	as	as	ADP
ejpam-6190	365	19	t	t	PROPN
ejpam-6190	365	20	1	1	NUM
ejpam-6190	365	21	=	=	SYM
ejpam-6190	365	22	1	1	NUM
ejpam-6190	365	23	x	x	X
ejpam-6190	365	24	=	=	SYM
ejpam-6190	365	25	−1	−1	NOUN
ejpam-6190	365	26	:	:	PUNCT
ejpam-6190	365	27	−1	−1	NOUN
ejpam-6190	365	28	bu	bu	PROPN
ejpam-6190	365	29	l	l	NOUN
ejpam-6190	365	30	l	l	NOUN
ejpam-6190	365	31	e	e	NOUN
ejpam-6190	365	32	t	t	NOUN
ejpam-6190	365	33	−1	−1	NOUN
ejpam-6190	365	34	=	=	SYM
ejpam-6190	365	35	1	1	NUM
ejpam-6190	365	36	,	,	PUNCT
ejpam-6190	365	37	−1	−1	NOUN
ejpam-6190	365	38	as	as	ADP
ejpam-6190	365	39	t	t	NOUN
ejpam-6190	365	40	−1	−1	NOUN
ejpam-6190	365	41	=	=	SYM
ejpam-6190	365	42	1	1	NUM
ejpam-6190	365	43	pdb1	pdb1	NOUN
ejpam-6190	365	44	holds	hold	VERB
ejpam-6190	365	45	.	.	PUNCT
ejpam-6190	366	1	checking	check	VERB
ejpam-6190	366	2	pdb2	pdb2	NOUN
ejpam-6190	366	3	:	:	PUNCT
ejpam-6190	366	4	1	1	NUM
ejpam-6190	366	5	bu	bu	NOUN
ejpam-6190	366	6	l	l	NOUN
ejpam-6190	366	7	l	l	NOUN
ejpam-6190	366	8	e	e	NOUN
ejpam-6190	366	9	t	t	NOUN
ejpam-6190	366	10	x	x	PUNCT
ejpam-6190	367	1	=	=	PUNCT
ejpam-6190	367	2	x	x	X
ejpam-6190	367	3	and	and	CCONJ
ejpam-6190	367	4	1	1	NUM
ejpam-6190	367	5	as	as	ADP
ejpam-6190	367	6	t	t	NOUN
ejpam-6190	367	7	x	x	PUNCT
ejpam-6190	368	1	=	=	PUNCT
ejpam-6190	368	2	x	x	PUNCT
ejpam-6190	368	3	x	x	SYM
ejpam-6190	368	4	=	=	SYM
ejpam-6190	368	5	1	1	NUM
ejpam-6190	368	6	:	:	SYM
ejpam-6190	368	7	1	1	NUM
ejpam-6190	368	8	bu	bu	NOUN
ejpam-6190	368	9	l	l	NOUN
ejpam-6190	368	10	l	l	NOUN
ejpam-6190	368	11	e	e	NOUN
ejpam-6190	368	12	t	t	PROPN
ejpam-6190	368	13	1	1	NUM
ejpam-6190	368	14	=	=	SYM
ejpam-6190	368	15	1	1	NUM
ejpam-6190	368	16	,	,	PUNCT
ejpam-6190	368	17	1	1	NUM
ejpam-6190	368	18	as	as	ADP
ejpam-6190	368	19	t	t	PROPN
ejpam-6190	368	20	1	1	NUM
ejpam-6190	368	21	=	=	SYM
ejpam-6190	368	22	1	1	NUM
ejpam-6190	368	23	x	x	X
ejpam-6190	368	24	=	=	SYM
ejpam-6190	368	25	−1	−1	NOUN
ejpam-6190	368	26	:	:	PUNCT
ejpam-6190	368	27	1	1	NUM
ejpam-6190	368	28	bu	bu	NOUN
ejpam-6190	368	29	l	l	NOUN
ejpam-6190	368	30	l	l	NOUN
ejpam-6190	368	31	e	e	NOUN
ejpam-6190	368	32	t	t	NOUN
ejpam-6190	368	33	−1	−1	NOUN
ejpam-6190	368	34	=	=	SYM
ejpam-6190	368	35	−1	−1	NOUN
ejpam-6190	368	36	,	,	PUNCT
ejpam-6190	368	37	1	1	NUM
ejpam-6190	368	38	as	as	ADP
ejpam-6190	368	39	t	t	NOUN
ejpam-6190	368	40	−1	−1	NOUN
ejpam-6190	368	41	=	=	SYM
ejpam-6190	368	42	−1	−1	NOUN
ejpam-6190	368	43	j.	j.	PROPN
ejpam-6190	368	44	m.	m.	PROPN
ejpam-6190	368	45	s.	s.	PROPN
ejpam-6190	368	46	leuveras	leuveras	PROPN
ejpam-6190	368	47	,	,	PUNCT
ejpam-6190	368	48	k.	k.	PROPN
ejpam-6190	368	49	b.	b.	PROPN
ejpam-6190	368	50	fuentes	fuentes	PROPN
ejpam-6190	368	51	/	/	SYM
ejpam-6190	368	52	eur	eur	PROPN
ejpam-6190	368	53	.	.	PUNCT
ejpam-6190	369	1	j.	j.	PROPN
ejpam-6190	369	2	pure	pure	PROPN
ejpam-6190	369	3	appl	appl	PROPN
ejpam-6190	369	4	.	.	PROPN
ejpam-6190	369	5	math	math	PROPN
ejpam-6190	369	6	,	,	PUNCT
ejpam-6190	369	7	18	18	NUM
ejpam-6190	369	8	(	(	PUNCT
ejpam-6190	369	9	4	4	NUM
ejpam-6190	369	10	)	)	PUNCT
ejpam-6190	369	11	(	(	PUNCT
ejpam-6190	369	12	2025	2025	NUM
ejpam-6190	369	13	)	)	PUNCT
ejpam-6190	369	14	,	,	PUNCT
ejpam-6190	369	15	6190	6190	NUM
ejpam-6190	369	16	12	12	NUM
ejpam-6190	369	17	of	of	ADP
ejpam-6190	369	18	12	12	NUM
ejpam-6190	369	19	pdb2	pdb2	NOUN
ejpam-6190	369	20	holds	hold	VERB
ejpam-6190	369	21	.	.	PUNCT
ejpam-6190	370	1	checking	check	VERB
ejpam-6190	370	2	pdb3	pdb3	NOUN
ejpam-6190	370	3	:	:	PUNCT
ejpam-6190	370	4	x	x	SYM
ejpam-6190	370	5	=	=	SYM
ejpam-6190	370	6	1	1	NUM
ejpam-6190	370	7	,	,	PUNCT
ejpam-6190	370	8	y	y	PROPN
ejpam-6190	370	9	=	=	SYM
ejpam-6190	370	10	1	1	NUM
ejpam-6190	370	11	,	,	PUNCT
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ejpam-6190	370	15	:	:	PUNCT
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ejpam-6190	370	18	l	l	NOUN
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ejpam-6190	370	21	t	t	PROPN
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ejpam-6190	370	24	as	as	ADP
ejpam-6190	370	25	t	t	PROPN
ejpam-6190	370	26	z	z	NOUN
ejpam-6190	370	27	)	)	PUNCT
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ejpam-6190	371	3	,	,	PUNCT
ejpam-6190	371	4	(	(	PUNCT
ejpam-6190	371	5	(	(	PUNCT
ejpam-6190	371	6	y	y	PROPN
ejpam-6190	371	7	as	as	ADP
ejpam-6190	371	8	t	t	PROPN
ejpam-6190	371	9	1	1	NUM
ejpam-6190	371	10	)	)	PUNCT
ejpam-6190	371	11	b	b	NOUN
ejpam-6190	371	12	u	u	NOUN
ejpam-6190	371	13	l	l	NOUN
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ejpam-6190	371	15	e	e	NOUN
ejpam-6190	371	16	t	t	NOUN
ejpam-6190	371	17	x	x	X
ejpam-6190	371	18	)	)	PUNCT
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ejpam-6190	371	20	u	u	NOUN
ejpam-6190	371	21	l	l	NOUN
ejpam-6190	371	22	l	l	NOUN
ejpam-6190	371	23	e	e	NOUN
ejpam-6190	371	24	t	t	PROPN
ejpam-6190	371	25	z	z	NOUN
ejpam-6190	371	26	=	=	SYM
ejpam-6190	371	27	1	1	NUM
ejpam-6190	371	28	x	x	SYM
ejpam-6190	371	29	=	=	SYM
ejpam-6190	371	30	1	1	NUM
ejpam-6190	371	31	,	,	PUNCT
ejpam-6190	371	32	y	y	PROPN
ejpam-6190	371	33	=	=	SYM
ejpam-6190	371	34	1	1	NUM
ejpam-6190	371	35	,	,	PUNCT
ejpam-6190	371	36	z	z	NOUN
ejpam-6190	371	37	=	=	SYM
ejpam-6190	371	38	1	1	NUM
ejpam-6190	371	39	:	:	SYM
ejpam-6190	371	40	x	x	PUNCT
ejpam-6190	371	41	as	as	ADP
ejpam-6190	371	42	t	t	PROPN
ejpam-6190	371	43	(	(	PUNCT
ejpam-6190	371	44	y	y	PROPN
ejpam-6190	371	45	bu	bu	PROPN
ejpam-6190	371	46	l	l	NOUN
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ejpam-6190	371	49	t	t	PROPN
ejpam-6190	371	50	z	z	PROPN
ejpam-6190	371	51	)	)	PUNCT
ejpam-6190	371	52	=	=	SYM
ejpam-6190	371	53	1	1	NUM
ejpam-6190	371	54	,	,	PUNCT
ejpam-6190	371	55	(	(	PUNCT
ejpam-6190	371	56	(	(	PUNCT
ejpam-6190	371	57	y	y	PROPN
ejpam-6190	371	58	bu	bu	PROPN
ejpam-6190	371	59	l	l	NOUN
ejpam-6190	371	60	l	l	NOUN
ejpam-6190	371	61	e	e	X
ejpam-6190	371	62	t	t	PROPN
ejpam-6190	371	63	1	1	NUM
ejpam-6190	371	64	)	)	PUNCT
ejpam-6190	371	65	a	a	DET
ejpam-6190	371	66	s	s	NOUN
ejpam-6190	371	67	t	t	NOUN
ejpam-6190	371	68	x	x	SYM
ejpam-6190	371	69	)	)	PUNCT
ejpam-6190	371	70	a	a	DET
ejpam-6190	371	71	s	s	X
ejpam-6190	371	72	t	t	NOUN
ejpam-6190	371	73	z	z	NOUN
ejpam-6190	371	74	=	=	SYM
ejpam-6190	371	75	1	1	NUM
ejpam-6190	371	76	x	x	SYM
ejpam-6190	371	77	=	=	SYM
ejpam-6190	371	78	1	1	NUM
ejpam-6190	371	79	,	,	PUNCT
ejpam-6190	371	80	y	y	PROPN
ejpam-6190	371	81	=	=	SYM
ejpam-6190	371	82	1	1	NUM
ejpam-6190	371	83	,	,	PUNCT
ejpam-6190	371	84	z	z	NOUN
ejpam-6190	371	85	=	=	SYM
ejpam-6190	371	86	−1	−1	NOUN
ejpam-6190	371	87	:	:	PUNCT
ejpam-6190	371	88	x	x	X
ejpam-6190	371	89	bu	bu	ADP
ejpam-6190	371	90	l	l	NOUN
ejpam-6190	371	91	l	l	NOUN
ejpam-6190	371	92	e	e	X
ejpam-6190	371	93	t	t	PROPN
ejpam-6190	371	94	(	(	PUNCT
ejpam-6190	371	95	y	y	PROPN
ejpam-6190	371	96	as	as	ADP
ejpam-6190	371	97	t	t	PROPN
ejpam-6190	371	98	z	z	PROPN
ejpam-6190	371	99	)	)	PUNCT
ejpam-6190	372	1	=	=	SYM
ejpam-6190	372	2	−1	−1	NOUN
ejpam-6190	372	3	,	,	PUNCT
ejpam-6190	372	4	(	(	PUNCT
ejpam-6190	372	5	(	(	PUNCT
ejpam-6190	372	6	y	y	PROPN
ejpam-6190	372	7	as	as	ADP
ejpam-6190	372	8	t	t	PROPN
ejpam-6190	372	9	1	1	NUM
ejpam-6190	372	10	)	)	PUNCT
ejpam-6190	372	11	b	b	NOUN
ejpam-6190	372	12	u	u	NOUN
ejpam-6190	372	13	l	l	NOUN
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ejpam-6190	372	15	e	e	NOUN
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ejpam-6190	372	17	x	x	X
ejpam-6190	372	18	)	)	PUNCT
ejpam-6190	372	19	b	b	SYM
ejpam-6190	372	20	u	u	NOUN
ejpam-6190	372	21	l	l	NOUN
ejpam-6190	372	22	l	l	NOUN
ejpam-6190	372	23	e	e	NOUN
ejpam-6190	372	24	t	t	PROPN
ejpam-6190	372	25	z	z	NOUN
ejpam-6190	372	26	=	=	SYM
ejpam-6190	372	27	−1	−1	NOUN
ejpam-6190	372	28	x	x	SYM
ejpam-6190	372	29	=	=	SYM
ejpam-6190	372	30	1	1	NUM
ejpam-6190	372	31	,	,	PUNCT
ejpam-6190	372	32	y	y	PROPN
ejpam-6190	372	33	=	=	SYM
ejpam-6190	372	34	1	1	NUM
ejpam-6190	372	35	,	,	PUNCT
ejpam-6190	372	36	z	z	NOUN
ejpam-6190	372	37	=	=	SYM
ejpam-6190	372	38	−1	−1	NOUN
ejpam-6190	372	39	:	:	PUNCT
ejpam-6190	372	40	x	x	X
ejpam-6190	372	41	as	as	ADP
ejpam-6190	372	42	t	t	PROPN
ejpam-6190	372	43	(	(	PUNCT
ejpam-6190	372	44	y	y	PROPN
ejpam-6190	372	45	bu	bu	PROPN
ejpam-6190	372	46	l	l	NOUN
ejpam-6190	372	47	l	l	NOUN
ejpam-6190	372	48	e	e	X
ejpam-6190	372	49	t	t	PROPN
ejpam-6190	372	50	z	z	PROPN
ejpam-6190	372	51	)	)	PUNCT
ejpam-6190	373	1	=	=	SYM
ejpam-6190	373	2	−1	−1	NOUN
ejpam-6190	373	3	,	,	PUNCT
ejpam-6190	373	4	(	(	PUNCT
ejpam-6190	373	5	(	(	PUNCT
ejpam-6190	373	6	y	y	PROPN
ejpam-6190	373	7	bu	bu	PROPN
ejpam-6190	373	8	l	l	NOUN
ejpam-6190	373	9	l	l	NOUN
ejpam-6190	373	10	e	e	X
ejpam-6190	373	11	t	t	PROPN
ejpam-6190	373	12	1	1	NUM
ejpam-6190	373	13	)	)	PUNCT
ejpam-6190	373	14	a	a	DET
ejpam-6190	373	15	s	s	NOUN
ejpam-6190	373	16	t	t	NOUN
ejpam-6190	373	17	x	x	SYM
ejpam-6190	373	18	)	)	PUNCT
ejpam-6190	373	19	a	a	DET
ejpam-6190	373	20	s	s	NOUN
ejpam-6190	373	21	t	t	NOUN
ejpam-6190	373	22	z	z	NOUN
ejpam-6190	373	23	=	=	SYM
ejpam-6190	373	24	−1	−1	NOUN
ejpam-6190	373	25	x	x	SYM
ejpam-6190	373	26	=	=	SYM
ejpam-6190	373	27	1	1	NUM
ejpam-6190	373	28	,	,	PUNCT
ejpam-6190	373	29	y	y	PROPN
ejpam-6190	373	30	=	=	SYM
ejpam-6190	373	31	−1	−1	NOUN
ejpam-6190	373	32	,	,	PUNCT
ejpam-6190	373	33	z	z	NOUN
ejpam-6190	373	34	=	=	SYM
ejpam-6190	373	35	1	1	NUM
ejpam-6190	373	36	:	:	PUNCT
ejpam-6190	373	37	x	x	PUNCT
ejpam-6190	373	38	bu	bu	ADP
ejpam-6190	373	39	l	l	NOUN
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ejpam-6190	373	41	e	e	X
ejpam-6190	373	42	t	t	PROPN
ejpam-6190	373	43	(	(	PUNCT
ejpam-6190	373	44	y	y	PROPN
ejpam-6190	373	45	as	as	ADP
ejpam-6190	373	46	t	t	PROPN
ejpam-6190	373	47	z	z	PROPN
ejpam-6190	373	48	)	)	PUNCT
ejpam-6190	373	49	=	=	SYM
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ejpam-6190	374	2	,	,	PUNCT
ejpam-6190	374	3	(	(	PUNCT
ejpam-6190	374	4	(	(	PUNCT
ejpam-6190	374	5	y	y	PROPN
ejpam-6190	374	6	as	as	ADP
ejpam-6190	374	7	t	t	PROPN
ejpam-6190	374	8	1	1	NUM
ejpam-6190	374	9	)	)	PUNCT
ejpam-6190	374	10	b	b	NOUN
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ejpam-6190	374	17	)	)	PUNCT
ejpam-6190	374	18	b	b	SYM
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ejpam-6190	374	20	l	l	NOUN
ejpam-6190	374	21	l	l	NOUN
ejpam-6190	374	22	e	e	NOUN
ejpam-6190	374	23	t	t	PROPN
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ejpam-6190	374	25	=	=	SYM
ejpam-6190	374	26	−1	−1	NOUN
ejpam-6190	374	27	x	x	SYM
ejpam-6190	374	28	=	=	SYM
ejpam-6190	374	29	1	1	NUM
ejpam-6190	374	30	,	,	PUNCT
ejpam-6190	374	31	y	y	PROPN
ejpam-6190	374	32	=	=	SYM
ejpam-6190	374	33	−1	−1	NOUN
ejpam-6190	374	34	,	,	PUNCT
ejpam-6190	374	35	z	z	NOUN
ejpam-6190	374	36	=	=	SYM
ejpam-6190	374	37	1	1	NUM
ejpam-6190	374	38	:	:	SYM
ejpam-6190	374	39	x	x	PUNCT
ejpam-6190	374	40	as	as	ADP
ejpam-6190	374	41	t	t	PROPN
ejpam-6190	374	42	(	(	PUNCT
ejpam-6190	374	43	y	y	PROPN
ejpam-6190	374	44	bu	bu	PROPN
ejpam-6190	374	45	l	l	NOUN
ejpam-6190	374	46	l	l	NOUN
ejpam-6190	374	47	e	e	X
ejpam-6190	374	48	t	t	PROPN
ejpam-6190	374	49	z	z	PROPN
ejpam-6190	374	50	)	)	PUNCT
ejpam-6190	375	1	=	=	SYM
ejpam-6190	375	2	−1	−1	NOUN
ejpam-6190	375	3	,	,	PUNCT
ejpam-6190	375	4	(	(	PUNCT
ejpam-6190	375	5	(	(	PUNCT
ejpam-6190	375	6	y	y	PROPN
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ejpam-6190	375	10	e	e	X
ejpam-6190	375	11	t	t	PROPN
ejpam-6190	375	12	1	1	NUM
ejpam-6190	375	13	)	)	PUNCT
ejpam-6190	375	14	a	a	DET
ejpam-6190	375	15	s	s	NOUN
ejpam-6190	375	16	t	t	NOUN
ejpam-6190	375	17	x	x	SYM
ejpam-6190	375	18	)	)	PUNCT
ejpam-6190	375	19	a	a	DET
ejpam-6190	375	20	s	s	NOUN
ejpam-6190	375	21	t	t	NOUN
ejpam-6190	375	22	z	z	NOUN
ejpam-6190	375	23	=	=	SYM
ejpam-6190	375	24	−1	−1	NOUN
ejpam-6190	375	25	x	x	SYM
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ejpam-6190	375	27	1	1	NUM
ejpam-6190	375	28	,	,	PUNCT
ejpam-6190	375	29	y	y	PROPN
ejpam-6190	375	30	=	=	SYM
ejpam-6190	375	31	−1	−1	NOUN
ejpam-6190	375	32	,	,	PUNCT
ejpam-6190	375	33	z	z	NOUN
ejpam-6190	375	34	=	=	SYM
ejpam-6190	375	35	−1	−1	NOUN
ejpam-6190	375	36	:	:	PUNCT
ejpam-6190	375	37	x	x	X
ejpam-6190	375	38	bu	bu	ADP
ejpam-6190	375	39	l	l	NOUN
ejpam-6190	375	40	l	l	NOUN
ejpam-6190	375	41	e	e	X
ejpam-6190	375	42	t	t	PROPN
ejpam-6190	375	43	(	(	PUNCT
ejpam-6190	375	44	y	y	PROPN
ejpam-6190	375	45	as	as	ADP
ejpam-6190	375	46	t	t	PROPN
ejpam-6190	375	47	z	z	NOUN
ejpam-6190	375	48	)	)	PUNCT
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ejpam-6190	376	3	,	,	PUNCT
ejpam-6190	376	4	(	(	PUNCT
ejpam-6190	376	5	(	(	PUNCT
ejpam-6190	376	6	y	y	PROPN
ejpam-6190	376	7	as	as	ADP
ejpam-6190	376	8	t	t	PROPN
ejpam-6190	376	9	1	1	NUM
ejpam-6190	376	10	)	)	PUNCT
ejpam-6190	376	11	b	b	NOUN
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ejpam-6190	376	13	l	l	NOUN
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ejpam-6190	376	15	e	e	NOUN
ejpam-6190	376	16	t	t	NOUN
ejpam-6190	376	17	x	x	X
ejpam-6190	376	18	)	)	PUNCT
ejpam-6190	376	19	b	b	SYM
ejpam-6190	376	20	u	u	NOUN
ejpam-6190	376	21	l	l	NOUN
ejpam-6190	376	22	l	l	NOUN
ejpam-6190	376	23	e	e	NOUN
ejpam-6190	376	24	t	t	PROPN
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ejpam-6190	376	26	=	=	SYM
ejpam-6190	376	27	1	1	NUM
ejpam-6190	376	28	x	x	SYM
ejpam-6190	376	29	=	=	SYM
ejpam-6190	376	30	1	1	NUM
ejpam-6190	376	31	,	,	PUNCT
ejpam-6190	376	32	y	y	PROPN
ejpam-6190	376	33	=	=	SYM
ejpam-6190	376	34	−1	−1	NOUN
ejpam-6190	376	35	,	,	PUNCT
ejpam-6190	376	36	z	z	NOUN
ejpam-6190	376	37	=	=	SYM
ejpam-6190	376	38	−1	−1	NOUN
ejpam-6190	376	39	:	:	PUNCT
ejpam-6190	376	40	x	x	X
ejpam-6190	376	41	as	as	ADP
ejpam-6190	376	42	t	t	PROPN
ejpam-6190	376	43	(	(	PUNCT
ejpam-6190	376	44	y	y	PROPN
ejpam-6190	376	45	bu	bu	PROPN
ejpam-6190	376	46	l	l	NOUN
ejpam-6190	376	47	l	l	NOUN
ejpam-6190	376	48	e	e	X
ejpam-6190	376	49	t	t	PROPN
ejpam-6190	376	50	z	z	PROPN
ejpam-6190	376	51	)	)	PUNCT
ejpam-6190	377	1	=	=	SYM
ejpam-6190	377	2	1	1	NUM
ejpam-6190	377	3	,	,	PUNCT
ejpam-6190	377	4	(	(	PUNCT
ejpam-6190	377	5	(	(	PUNCT
ejpam-6190	377	6	y	y	PROPN
ejpam-6190	377	7	bu	bu	PROPN
ejpam-6190	377	8	l	l	NOUN
ejpam-6190	377	9	l	l	NOUN
ejpam-6190	377	10	e	e	X
ejpam-6190	377	11	t	t	PROPN
ejpam-6190	377	12	1	1	NUM
ejpam-6190	377	13	)	)	PUNCT
ejpam-6190	377	14	a	a	DET
ejpam-6190	377	15	s	s	NOUN
ejpam-6190	377	16	t	t	NOUN
ejpam-6190	377	17	x	x	SYM
ejpam-6190	377	18	)	)	PUNCT
ejpam-6190	377	19	a	a	DET
ejpam-6190	377	20	s	s	X
ejpam-6190	377	21	t	t	NOUN
ejpam-6190	377	22	z	z	NOUN
ejpam-6190	377	23	=	=	SYM
ejpam-6190	377	24	1	1	NUM
ejpam-6190	377	25	x	x	X
ejpam-6190	377	26	=	=	SYM
ejpam-6190	377	27	−1	−1	NOUN
ejpam-6190	377	28	,	,	PUNCT
ejpam-6190	377	29	y	y	PROPN
ejpam-6190	377	30	=	=	SYM
ejpam-6190	377	31	1	1	NUM
ejpam-6190	377	32	,	,	PUNCT
ejpam-6190	377	33	z	z	NOUN
ejpam-6190	377	34	=	=	SYM
ejpam-6190	377	35	1	1	NUM
ejpam-6190	377	36	:	:	PUNCT
ejpam-6190	377	37	x	x	PUNCT
ejpam-6190	377	38	bu	bu	ADP
ejpam-6190	377	39	l	l	NOUN
ejpam-6190	377	40	l	l	NOUN
ejpam-6190	377	41	e	e	X
ejpam-6190	377	42	t	t	PROPN
ejpam-6190	377	43	(	(	PUNCT
ejpam-6190	377	44	y	y	PROPN
ejpam-6190	377	45	as	as	ADP
ejpam-6190	377	46	t	t	PROPN
ejpam-6190	377	47	z	z	PROPN
ejpam-6190	377	48	)	)	PUNCT
ejpam-6190	378	1	=	=	SYM
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ejpam-6190	378	3	,	,	PUNCT
ejpam-6190	378	4	(	(	PUNCT
ejpam-6190	378	5	(	(	PUNCT
ejpam-6190	378	6	y	y	PROPN
ejpam-6190	378	7	as	as	ADP
ejpam-6190	378	8	t	t	PROPN
ejpam-6190	378	9	1	1	NUM
ejpam-6190	378	10	)	)	PUNCT
ejpam-6190	378	11	b	b	NOUN
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ejpam-6190	378	18	)	)	PUNCT
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ejpam-6190	378	24	t	t	PROPN
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ejpam-6190	378	42	t	t	PROPN
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ejpam-6190	378	51	)	)	PUNCT
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ejpam-6190	379	13	)	)	PUNCT
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ejpam-6190	379	17	x	x	SYM
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ejpam-6190	379	20	s	s	NOUN
ejpam-6190	379	21	t	t	NOUN
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ejpam-6190	379	28	,	,	PUNCT
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ejpam-6190	379	32	,	,	PUNCT
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ejpam-6190	379	34	=	=	SYM
ejpam-6190	379	35	−1	−1	NOUN
ejpam-6190	379	36	:	:	PUNCT
ejpam-6190	379	37	x	x	X
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ejpam-6190	379	42	t	t	PROPN
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ejpam-6190	379	44	y	y	PROPN
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ejpam-6190	379	46	t	t	PROPN
ejpam-6190	379	47	z	z	NOUN
ejpam-6190	379	48	)	)	PUNCT
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ejpam-6190	380	3	,	,	PUNCT
ejpam-6190	380	4	(	(	PUNCT
ejpam-6190	380	5	(	(	PUNCT
ejpam-6190	380	6	y	y	PROPN
ejpam-6190	380	7	as	as	ADP
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ejpam-6190	380	9	1	1	NUM
ejpam-6190	380	10	)	)	PUNCT
ejpam-6190	380	11	b	b	NOUN
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ejpam-6190	380	17	x	x	X
ejpam-6190	380	18	)	)	PUNCT
ejpam-6190	380	19	b	b	SYM
ejpam-6190	380	20	u	u	NOUN
ejpam-6190	380	21	l	l	NOUN
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ejpam-6190	380	23	e	e	NOUN
ejpam-6190	380	24	t	t	PROPN
ejpam-6190	380	25	z	z	NOUN
ejpam-6190	380	26	=	=	SYM
ejpam-6190	380	27	1	1	NUM
ejpam-6190	380	28	x	x	X
ejpam-6190	380	29	=	=	SYM
ejpam-6190	380	30	−1	−1	NOUN
ejpam-6190	380	31	,	,	PUNCT
ejpam-6190	380	32	y	y	PROPN
ejpam-6190	380	33	=	=	SYM
ejpam-6190	380	34	1	1	NUM
ejpam-6190	380	35	,	,	PUNCT
ejpam-6190	380	36	z	z	NOUN
ejpam-6190	380	37	=	=	SYM
ejpam-6190	380	38	−1	−1	NOUN
ejpam-6190	380	39	:	:	PUNCT
ejpam-6190	380	40	x	x	X
ejpam-6190	380	41	as	as	ADP
ejpam-6190	380	42	t	t	PROPN
ejpam-6190	380	43	(	(	PUNCT
ejpam-6190	380	44	y	y	PROPN
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ejpam-6190	380	46	l	l	NOUN
ejpam-6190	380	47	l	l	NOUN
ejpam-6190	380	48	e	e	X
ejpam-6190	380	49	t	t	PROPN
ejpam-6190	380	50	z	z	PROPN
ejpam-6190	380	51	)	)	PUNCT
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ejpam-6190	381	2	1	1	NUM
ejpam-6190	381	3	,	,	PUNCT
ejpam-6190	381	4	(	(	PUNCT
ejpam-6190	381	5	(	(	PUNCT
ejpam-6190	381	6	y	y	PROPN
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ejpam-6190	381	13	)	)	PUNCT
ejpam-6190	381	14	a	a	DET
ejpam-6190	381	15	s	s	NOUN
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ejpam-6190	381	17	x	x	SYM
ejpam-6190	381	18	)	)	PUNCT
ejpam-6190	381	19	a	a	DET
ejpam-6190	381	20	s	s	X
ejpam-6190	381	21	t	t	NOUN
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ejpam-6190	381	23	=	=	SYM
ejpam-6190	381	24	1	1	NUM
ejpam-6190	381	25	x	x	X
ejpam-6190	381	26	=	=	SYM
ejpam-6190	381	27	−1	−1	NOUN
ejpam-6190	381	28	,	,	PUNCT
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ejpam-6190	381	30	=	=	SYM
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ejpam-6190	381	32	,	,	PUNCT
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ejpam-6190	381	35	1	1	NUM
ejpam-6190	381	36	:	:	PUNCT
ejpam-6190	381	37	x	x	PUNCT
ejpam-6190	381	38	bu	bu	ADP
ejpam-6190	381	39	l	l	NOUN
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ejpam-6190	381	42	t	t	PROPN
ejpam-6190	381	43	(	(	PUNCT
ejpam-6190	381	44	y	y	PROPN
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ejpam-6190	381	46	t	t	PROPN
ejpam-6190	381	47	z	z	NOUN
ejpam-6190	381	48	)	)	PUNCT
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ejpam-6190	382	3	,	,	PUNCT
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ejpam-6190	382	5	(	(	PUNCT
ejpam-6190	382	6	y	y	PROPN
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ejpam-6190	382	9	1	1	NUM
ejpam-6190	382	10	)	)	PUNCT
ejpam-6190	382	11	b	b	NOUN
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ejpam-6190	382	17	x	x	X
ejpam-6190	382	18	)	)	PUNCT
ejpam-6190	382	19	b	b	SYM
ejpam-6190	382	20	u	u	NOUN
ejpam-6190	382	21	l	l	NOUN
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ejpam-6190	382	23	e	e	NOUN
ejpam-6190	382	24	t	t	PROPN
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ejpam-6190	382	26	=	=	SYM
ejpam-6190	382	27	1	1	NUM
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ejpam-6190	382	29	=	=	SYM
ejpam-6190	382	30	−1	−1	NOUN
ejpam-6190	382	31	,	,	PUNCT
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ejpam-6190	382	33	=	=	SYM
ejpam-6190	382	34	−1	−1	NOUN
ejpam-6190	382	35	,	,	PUNCT
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ejpam-6190	382	39	:	:	SYM
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ejpam-6190	382	42	t	t	PROPN
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ejpam-6190	382	44	y	y	PROPN
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ejpam-6190	382	48	e	e	X
ejpam-6190	382	49	t	t	PROPN
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ejpam-6190	382	51	)	)	PUNCT
ejpam-6190	382	52	=	=	SYM
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ejpam-6190	382	54	,	,	PUNCT
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ejpam-6190	382	57	y	y	PROPN
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ejpam-6190	382	61	e	e	X
ejpam-6190	382	62	t	t	PROPN
ejpam-6190	382	63	1	1	NUM
ejpam-6190	382	64	)	)	PUNCT
ejpam-6190	382	65	a	a	DET
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ejpam-6190	382	72	t	t	NOUN
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ejpam-6190	382	75	1	1	NUM
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ejpam-6190	382	79	,	,	PUNCT
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ejpam-6190	382	83	,	,	PUNCT
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ejpam-6190	382	87	:	:	PUNCT
ejpam-6190	382	88	x	x	X
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ejpam-6190	382	92	e	e	X
ejpam-6190	382	93	t	t	PROPN
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ejpam-6190	382	95	y	y	PROPN
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ejpam-6190	382	97	t	t	PROPN
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ejpam-6190	382	99	)	)	PUNCT
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ejpam-6190	383	3	,	,	PUNCT
ejpam-6190	383	4	(	(	PUNCT
ejpam-6190	383	5	(	(	PUNCT
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ejpam-6190	383	8	t	t	PROPN
ejpam-6190	383	9	1	1	NUM
ejpam-6190	383	10	)	)	PUNCT
ejpam-6190	383	11	b	b	NOUN
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ejpam-6190	383	17	x	x	X
ejpam-6190	383	18	)	)	PUNCT
ejpam-6190	383	19	b	b	SYM
ejpam-6190	383	20	u	u	NOUN
ejpam-6190	383	21	l	l	NOUN
ejpam-6190	383	22	l	l	NOUN
ejpam-6190	383	23	e	e	NOUN
ejpam-6190	383	24	t	t	PROPN
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ejpam-6190	383	26	=	=	SYM
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ejpam-6190	383	28	x	x	SYM
ejpam-6190	383	29	=	=	SYM
ejpam-6190	383	30	−1	−1	NOUN
ejpam-6190	383	31	,	,	PUNCT
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ejpam-6190	383	33	=	=	SYM
ejpam-6190	383	34	−1	−1	NOUN
ejpam-6190	383	35	,	,	PUNCT
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ejpam-6190	383	37	=	=	SYM
ejpam-6190	383	38	−1	−1	NOUN
ejpam-6190	383	39	:	:	PUNCT
ejpam-6190	383	40	x	x	X
ejpam-6190	383	41	as	as	ADP
ejpam-6190	383	42	t	t	PROPN
ejpam-6190	383	43	(	(	PUNCT
ejpam-6190	383	44	y	y	PROPN
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ejpam-6190	383	46	l	l	NOUN
ejpam-6190	383	47	l	l	NOUN
ejpam-6190	383	48	e	e	X
ejpam-6190	383	49	t	t	PROPN
ejpam-6190	383	50	z	z	PROPN
ejpam-6190	383	51	)	)	PUNCT
ejpam-6190	384	1	=	=	SYM
ejpam-6190	384	2	−1	−1	NOUN
ejpam-6190	384	3	,	,	PUNCT
ejpam-6190	384	4	(	(	PUNCT
ejpam-6190	384	5	(	(	PUNCT
ejpam-6190	384	6	y	y	PROPN
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ejpam-6190	384	8	l	l	NOUN
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ejpam-6190	384	10	e	e	X
ejpam-6190	384	11	t	t	PROPN
ejpam-6190	384	12	1	1	NUM
ejpam-6190	384	13	)	)	PUNCT
ejpam-6190	384	14	a	a	DET
ejpam-6190	384	15	s	s	NOUN
ejpam-6190	384	16	t	t	NOUN
ejpam-6190	384	17	x	x	SYM
ejpam-6190	384	18	)	)	PUNCT
ejpam-6190	384	19	a	a	DET
ejpam-6190	384	20	s	s	NOUN
ejpam-6190	384	21	t	t	NOUN
ejpam-6190	384	22	z	z	NOUN
ejpam-6190	384	23	=	=	SYM
ejpam-6190	384	24	−1	−1	NOUN
ejpam-6190	384	25	pdb3	pdb3	NOUN
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ejpam-6190	384	27	.	.	PUNCT
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