id	sid	tid	token	lemma	pos
ejpam-4841	1	1	european	european	PROPN
ejpam-4841	1	2	journal	journal	PROPN
ejpam-4841	1	3	of	of	ADP
ejpam-4841	1	4	pure	pure	ADJ
ejpam-4841	1	5	and	and	CCONJ
ejpam-4841	1	6	applied	apply	VERB
ejpam-4841	1	7	mathematics	mathematic	NOUN
ejpam-4841	1	8	vol	vol	NOUN
ejpam-4841	1	9	.	.	PUNCT
ejpam-4841	2	1	16	16	NUM
ejpam-4841	2	2	,	,	PUNCT
ejpam-4841	2	3	no	no	INTJ
ejpam-4841	2	4	.	.	NOUN
ejpam-4841	2	5	3	3	NUM
ejpam-4841	2	6	,	,	PUNCT
ejpam-4841	2	7	2023	2023	NUM
ejpam-4841	2	8	,	,	PUNCT
ejpam-4841	2	9	1663	1663	NUM
ejpam-4841	2	10	-	-	SYM
ejpam-4841	2	11	1674	1674	NUM
ejpam-4841	2	12	issn	issn	PROPN
ejpam-4841	2	13	1307	1307	NUM
ejpam-4841	2	14	-	-	SYM
ejpam-4841	2	15	5543	5543	NUM
ejpam-4841	2	16	–	–	PUNCT
ejpam-4841	3	1	ejpam.com	ejpam.com	X
ejpam-4841	3	2	published	publish	VERB
ejpam-4841	3	3	by	by	ADP
ejpam-4841	3	4	new	new	PROPN
ejpam-4841	3	5	york	york	PROPN
ejpam-4841	3	6	business	business	PROPN
ejpam-4841	3	7	global	global	PROPN
ejpam-4841	3	8	on	on	ADP
ejpam-4841	3	9	b	b	NOUN
ejpam-4841	3	10	-	-	PUNCT
ejpam-4841	3	11	commutators	commutator	NOUN
ejpam-4841	3	12	of	of	ADP
ejpam-4841	3	13	b	b	NOUN
ejpam-4841	3	14	-	-	PUNCT
ejpam-4841	3	15	algebras	algebras	PROPN
ejpam-4841	3	16	joel	joel	PROPN
ejpam-4841	3	17	g.	g.	PROPN
ejpam-4841	3	18	adanza	adanza	PROPN
ejpam-4841	3	19	mathematics	mathematics	PROPN
ejpam-4841	3	20	department	department	PROPN
ejpam-4841	3	21	,	,	PUNCT
ejpam-4841	3	22	negros	negros	PROPN
ejpam-4841	3	23	oriental	oriental	ADJ
ejpam-4841	3	24	state	state	PROPN
ejpam-4841	3	25	university	university	PROPN
ejpam-4841	3	26	,	,	PUNCT
ejpam-4841	3	27	dumaguete	dumaguete	PROPN
ejpam-4841	3	28	city	city	PROPN
ejpam-4841	3	29	,	,	PUNCT
ejpam-4841	3	30	philippines	philippine	NOUN
ejpam-4841	3	31	abstract	abstract	ADJ
ejpam-4841	3	32	.	.	PUNCT
ejpam-4841	4	1	in	in	ADP
ejpam-4841	4	2	this	this	DET
ejpam-4841	4	3	paper	paper	NOUN
ejpam-4841	4	4	,	,	PUNCT
ejpam-4841	4	5	we	we	PRON
ejpam-4841	4	6	investigate	investigate	VERB
ejpam-4841	4	7	some	some	DET
ejpam-4841	4	8	properties	property	NOUN
ejpam-4841	4	9	of	of	ADP
ejpam-4841	4	10	b	b	NOUN
ejpam-4841	4	11	-	-	PUNCT
ejpam-4841	4	12	commutators	commutator	NOUN
ejpam-4841	4	13	of	of	ADP
ejpam-4841	4	14	b	b	NOUN
ejpam-4841	4	15	-	-	PUNCT
ejpam-4841	4	16	algebras	algebras	X
ejpam-4841	4	17	.	.	PUNCT
ejpam-4841	5	1	we	we	PRON
ejpam-4841	5	2	also	also	ADV
ejpam-4841	5	3	characterize	characterize	VERB
ejpam-4841	5	4	solvable	solvable	ADJ
ejpam-4841	5	5	b	b	NOUN
ejpam-4841	5	6	-	-	PUNCT
ejpam-4841	5	7	algebras	algebras	NOUN
ejpam-4841	5	8	via	via	ADP
ejpam-4841	5	9	b	b	NOUN
ejpam-4841	5	10	-	-	PUNCT
ejpam-4841	5	11	commutators	commutator	NOUN
ejpam-4841	5	12	.	.	PUNCT
ejpam-4841	6	1	2020	2020	NUM
ejpam-4841	6	2	mathematics	mathematic	NOUN
ejpam-4841	6	3	subject	subject	NOUN
ejpam-4841	6	4	classifications	classification	NOUN
ejpam-4841	6	5	:	:	PUNCT
ejpam-4841	6	6	08a05	08a05	NUM
ejpam-4841	6	7	,	,	PUNCT
ejpam-4841	6	8	03g25	03g25	NOUN
ejpam-4841	6	9	key	key	ADJ
ejpam-4841	6	10	words	word	NOUN
ejpam-4841	6	11	and	and	CCONJ
ejpam-4841	6	12	phrases	phrase	NOUN
ejpam-4841	6	13	:	:	PUNCT
ejpam-4841	6	14	solvable	solvable	ADJ
ejpam-4841	6	15	b	b	X
ejpam-4841	6	16	-	-	PUNCT
ejpam-4841	6	17	algebras	algebras	X
ejpam-4841	6	18	,	,	PUNCT
ejpam-4841	6	19	b	b	X
ejpam-4841	6	20	-	-	PUNCT
ejpam-4841	6	21	commutators	commutator	NOUN
ejpam-4841	6	22	,	,	PUNCT
ejpam-4841	6	23	kth	kth	PROPN
ejpam-4841	6	24	b	b	X
ejpam-4841	6	25	-	-	PUNCT
ejpam-4841	6	26	commutators	commutator	NOUN
ejpam-4841	6	27	1	1	NUM
ejpam-4841	6	28	.	.	PUNCT
ejpam-4841	6	29	introduction	introduction	NOUN
ejpam-4841	6	30	and	and	CCONJ
ejpam-4841	6	31	preliminaries	preliminary	NOUN
ejpam-4841	6	32	in	in	ADP
ejpam-4841	6	33	1966	1966	NUM
ejpam-4841	6	34	,	,	PUNCT
ejpam-4841	6	35	y.	y.	PROPN
ejpam-4841	6	36	imai	imai	PROPN
ejpam-4841	6	37	and	and	CCONJ
ejpam-4841	6	38	k.	k.	PROPN
ejpam-4841	6	39	iséki	iséki	PROPN
ejpam-4841	6	40	introduced	introduce	VERB
ejpam-4841	6	41	the	the	DET
ejpam-4841	6	42	concept	concept	NOUN
ejpam-4841	6	43	of	of	ADP
ejpam-4841	6	44	bck	bck	NOUN
ejpam-4841	6	45	-	-	PUNCT
ejpam-4841	6	46	algebras	algebras	NOUN
ejpam-4841	6	47	[	[	X
ejpam-4841	6	48	14	14	NUM
ejpam-4841	6	49	]	]	PUNCT
ejpam-4841	6	50	.	.	PUNCT
ejpam-4841	7	1	it	it	PRON
ejpam-4841	7	2	is	be	AUX
ejpam-4841	7	3	known	know	VERB
ejpam-4841	7	4	that	that	SCONJ
ejpam-4841	7	5	bck	bck	PROPN
ejpam-4841	7	6	-	-	PUNCT
ejpam-4841	7	7	algebras	algebra	NOUN
ejpam-4841	7	8	are	be	AUX
ejpam-4841	7	9	inspired	inspire	VERB
ejpam-4841	7	10	by	by	ADP
ejpam-4841	7	11	some	some	DET
ejpam-4841	7	12	implicational	implicational	ADJ
ejpam-4841	7	13	logic	logic	NOUN
ejpam-4841	7	14	.	.	PUNCT
ejpam-4841	8	1	from	from	ADP
ejpam-4841	8	2	then	then	ADV
ejpam-4841	8	3	on	on	ADV
ejpam-4841	8	4	,	,	PUNCT
ejpam-4841	8	5	several	several	ADJ
ejpam-4841	8	6	generalizations	generalization	NOUN
ejpam-4841	8	7	of	of	ADP
ejpam-4841	8	8	bck	bck	NOUN
ejpam-4841	8	9	-	-	PUNCT
ejpam-4841	8	10	algebras	algebra	NOUN
ejpam-4841	8	11	exist	exist	VERB
ejpam-4841	8	12	.	.	PUNCT
ejpam-4841	9	1	in	in	ADP
ejpam-4841	9	2	[	[	X
ejpam-4841	9	3	15	15	NUM
ejpam-4841	9	4	]	]	PUNCT
ejpam-4841	9	5	,	,	PUNCT
ejpam-4841	9	6	k.	k.	PROPN
ejpam-4841	9	7	iséki	iséki	PROPN
ejpam-4841	9	8	introduced	introduce	VERB
ejpam-4841	9	9	bci	bci	NOUN
ejpam-4841	9	10	-	-	PUNCT
ejpam-4841	9	11	algebras	algebra	NOUN
ejpam-4841	9	12	and	and	CCONJ
ejpam-4841	9	13	that	that	SCONJ
ejpam-4841	9	14	the	the	DET
ejpam-4841	9	15	class	class	NOUN
ejpam-4841	9	16	of	of	ADP
ejpam-4841	9	17	bck	bck	PROPN
ejpam-4841	9	18	-	-	PUNCT
ejpam-4841	9	19	algebras	algebras	PROPN
ejpam-4841	9	20	is	be	AUX
ejpam-4841	9	21	a	a	DET
ejpam-4841	9	22	proper	proper	ADJ
ejpam-4841	9	23	subclass	subclass	NOUN
ejpam-4841	9	24	of	of	ADP
ejpam-4841	9	25	the	the	DET
ejpam-4841	9	26	class	class	NOUN
ejpam-4841	9	27	of	of	ADP
ejpam-4841	9	28	bci	bci	PROPN
ejpam-4841	9	29	-	-	PUNCT
ejpam-4841	9	30	algebras	algebra	NOUN
ejpam-4841	9	31	.	.	PUNCT
ejpam-4841	10	1	in	in	ADP
ejpam-4841	10	2	1983	1983	NUM
ejpam-4841	10	3	,	,	PUNCT
ejpam-4841	10	4	q.p	q.p	PROPN
ejpam-4841	10	5	.	.	PROPN
ejpam-4841	10	6	hu	hu	PROPN
ejpam-4841	10	7	and	and	CCONJ
ejpam-4841	10	8	x.	x.	PROPN
ejpam-4841	10	9	li	li	PROPN
ejpam-4841	10	10	introduced	introduce	VERB
ejpam-4841	10	11	a	a	DET
ejpam-4841	10	12	wide	wide	ADJ
ejpam-4841	10	13	class	class	NOUN
ejpam-4841	10	14	of	of	ADP
ejpam-4841	10	15	abstract	abstract	ADJ
ejpam-4841	10	16	algebras	algebra	NOUN
ejpam-4841	10	17	:	:	PUNCT
ejpam-4841	10	18	bch	bch	NOUN
ejpam-4841	10	19	-	-	PUNCT
ejpam-4841	10	20	algebras	algebras	PROPN
ejpam-4841	11	1	[	[	X
ejpam-4841	11	2	13	13	NUM
ejpam-4841	11	3	]	]	PUNCT
ejpam-4841	11	4	.	.	PUNCT
ejpam-4841	12	1	they	they	PRON
ejpam-4841	12	2	have	have	AUX
ejpam-4841	12	3	shown	show	VERB
ejpam-4841	12	4	that	that	SCONJ
ejpam-4841	12	5	the	the	DET
ejpam-4841	12	6	class	class	NOUN
ejpam-4841	12	7	of	of	ADP
ejpam-4841	12	8	bci	bci	NOUN
ejpam-4841	12	9	-	-	PUNCT
ejpam-4841	12	10	algebras	algebras	PROPN
ejpam-4841	12	11	is	be	AUX
ejpam-4841	12	12	a	a	DET
ejpam-4841	12	13	proper	proper	ADJ
ejpam-4841	12	14	subclass	subclass	NOUN
ejpam-4841	12	15	of	of	ADP
ejpam-4841	12	16	the	the	DET
ejpam-4841	12	17	class	class	NOUN
ejpam-4841	12	18	of	of	ADP
ejpam-4841	12	19	bch	bch	PROPN
ejpam-4841	12	20	-	-	PUNCT
ejpam-4841	12	21	algebras	algebras	PROPN
ejpam-4841	12	22	.	.	PUNCT
ejpam-4841	13	1	these	these	DET
ejpam-4841	13	2	algebras	algebra	NOUN
ejpam-4841	13	3	are	be	AUX
ejpam-4841	13	4	of	of	ADP
ejpam-4841	13	5	type	type	NOUN
ejpam-4841	13	6	(	(	PUNCT
ejpam-4841	13	7	2	2	NUM
ejpam-4841	13	8	,	,	PUNCT
ejpam-4841	13	9	0	0	NUM
ejpam-4841	13	10	)	)	PUNCT
ejpam-4841	13	11	,	,	PUNCT
ejpam-4841	13	12	that	that	ADV
ejpam-4841	13	13	is	is	ADV
ejpam-4841	13	14	,	,	PUNCT
ejpam-4841	13	15	a	a	DET
ejpam-4841	13	16	nonempty	nonempty	NOUN
ejpam-4841	13	17	set	set	VERB
ejpam-4841	13	18	together	together	ADV
ejpam-4841	13	19	with	with	ADP
ejpam-4841	13	20	a	a	DET
ejpam-4841	13	21	binary	binary	ADJ
ejpam-4841	13	22	operation	operation	NOUN
ejpam-4841	13	23	and	and	CCONJ
ejpam-4841	13	24	a	a	DET
ejpam-4841	13	25	constant	constant	ADJ
ejpam-4841	13	26	,	,	PUNCT
ejpam-4841	13	27	satisfying	satisfy	VERB
ejpam-4841	13	28	some	some	DET
ejpam-4841	13	29	axioms	axiom	NOUN
ejpam-4841	13	30	.	.	PUNCT
ejpam-4841	14	1	up	up	ADP
ejpam-4841	14	2	to	to	ADP
ejpam-4841	14	3	this	this	DET
ejpam-4841	14	4	day	day	NOUN
ejpam-4841	14	5	,	,	PUNCT
ejpam-4841	14	6	inspired	inspire	VERB
ejpam-4841	14	7	by	by	ADP
ejpam-4841	14	8	bck	bck	PROPN
ejpam-4841	14	9	/	/	SYM
ejpam-4841	14	10	bci	bci	PROPN
ejpam-4841	14	11	/	/	SYM
ejpam-4841	14	12	bchalgebras	bchalgebra	NOUN
ejpam-4841	14	13	,	,	PUNCT
ejpam-4841	14	14	there	there	PRON
ejpam-4841	14	15	are	be	VERB
ejpam-4841	14	16	more	more	ADJ
ejpam-4841	14	17	than	than	ADP
ejpam-4841	14	18	twenty	twenty	NUM
ejpam-4841	14	19	type	type	NOUN
ejpam-4841	14	20	(	(	PUNCT
ejpam-4841	14	21	2	2	NUM
ejpam-4841	14	22	,	,	PUNCT
ejpam-4841	14	23	0	0	NUM
ejpam-4841	14	24	)	)	PUNCT
ejpam-4841	14	25	algebras	algebra	NOUN
ejpam-4841	14	26	introduced	introduce	VERB
ejpam-4841	14	27	and	and	CCONJ
ejpam-4841	14	28	investigated	investigate	VERB
ejpam-4841	14	29	.	.	PUNCT
ejpam-4841	15	1	one	one	NUM
ejpam-4841	15	2	of	of	ADP
ejpam-4841	15	3	these	these	DET
ejpam-4841	15	4	algebras	algebra	NOUN
ejpam-4841	15	5	is	be	AUX
ejpam-4841	15	6	the	the	DET
ejpam-4841	15	7	concept	concept	NOUN
ejpam-4841	15	8	of	of	ADP
ejpam-4841	15	9	b	b	NOUN
ejpam-4841	15	10	-	-	PUNCT
ejpam-4841	15	11	algebras	algebras	X
ejpam-4841	15	12	.	.	PUNCT
ejpam-4841	16	1	in	in	ADP
ejpam-4841	16	2	[	[	X
ejpam-4841	16	3	21	21	NUM
ejpam-4841	16	4	]	]	PUNCT
ejpam-4841	16	5	,	,	PUNCT
ejpam-4841	16	6	j.	j.	PROPN
ejpam-4841	16	7	neggers	neggers	PROPN
ejpam-4841	16	8	and	and	CCONJ
ejpam-4841	16	9	h.s	h.s	PROPN
ejpam-4841	16	10	.	.	PROPN
ejpam-4841	16	11	kim	kim	PROPN
ejpam-4841	16	12	introduced	introduce	VERB
ejpam-4841	16	13	and	and	CCONJ
ejpam-4841	16	14	established	establish	VERB
ejpam-4841	16	15	the	the	DET
ejpam-4841	16	16	notion	notion	NOUN
ejpam-4841	16	17	of	of	ADP
ejpam-4841	16	18	b	b	NOUN
ejpam-4841	16	19	-	-	PUNCT
ejpam-4841	16	20	algebras	algebras	X
ejpam-4841	16	21	.	.	PUNCT
ejpam-4841	17	1	a	a	DET
ejpam-4841	17	2	b	b	X
ejpam-4841	17	3	-	-	PUNCT
ejpam-4841	17	4	algebra	algebra	NOUN
ejpam-4841	17	5	is	be	AUX
ejpam-4841	17	6	an	an	DET
ejpam-4841	17	7	algebra	algebra	NOUN
ejpam-4841	17	8	(	(	PUNCT
ejpam-4841	17	9	x	x	NOUN
ejpam-4841	17	10	;	;	PUNCT
ejpam-4841	17	11	∗	∗	NOUN
ejpam-4841	17	12	,	,	PUNCT
ejpam-4841	17	13	0	0	NUM
ejpam-4841	17	14	)	)	PUNCT
ejpam-4841	17	15	of	of	ADP
ejpam-4841	17	16	type	type	NOUN
ejpam-4841	17	17	(	(	PUNCT
ejpam-4841	17	18	2	2	NUM
ejpam-4841	17	19	,	,	PUNCT
ejpam-4841	17	20	0	0	NUM
ejpam-4841	17	21	)	)	PUNCT
ejpam-4841	17	22	satisfying	satisfying	NOUN
ejpam-4841	17	23	:	:	PUNCT
ejpam-4841	17	24	(	(	PUNCT
ejpam-4841	17	25	i	i	NOUN
ejpam-4841	17	26	)	)	PUNCT
ejpam-4841	17	27	x	x	SYM
ejpam-4841	17	28	∗	∗	NOUN
ejpam-4841	17	29	x	x	SYM
ejpam-4841	17	30	=	=	SYM
ejpam-4841	17	31	0	0	NUM
ejpam-4841	17	32	,	,	PUNCT
ejpam-4841	17	33	(	(	PUNCT
ejpam-4841	17	34	ii	ii	NOUN
ejpam-4841	17	35	)	)	PUNCT
ejpam-4841	18	1	x	x	SYM
ejpam-4841	18	2	∗	∗	NOUN
ejpam-4841	18	3	0	0	NUM
ejpam-4841	19	1	=	=	SYM
ejpam-4841	19	2	x	x	NOUN
ejpam-4841	19	3	,	,	PUNCT
ejpam-4841	19	4	(	(	PUNCT
ejpam-4841	19	5	iii	iii	NOUN
ejpam-4841	19	6	)	)	PUNCT
ejpam-4841	19	7	(	(	PUNCT
ejpam-4841	19	8	x	x	SYM
ejpam-4841	19	9	∗	∗	PROPN
ejpam-4841	19	10	y	y	NOUN
ejpam-4841	19	11	)	)	PUNCT
ejpam-4841	19	12	∗	∗	NOUN
ejpam-4841	19	13	z	z	NOUN
ejpam-4841	20	1	=	=	SYM
ejpam-4841	20	2	x	x	X
ejpam-4841	20	3	∗	∗	NOUN
ejpam-4841	20	4	(	(	PUNCT
ejpam-4841	20	5	z	z	NOUN
ejpam-4841	20	6	∗	∗	NOUN
ejpam-4841	20	7	(	(	PUNCT
ejpam-4841	20	8	0	0	NUM
ejpam-4841	20	9	∗	∗	PROPN
ejpam-4841	20	10	y	y	PROPN
ejpam-4841	20	11	)	)	PUNCT
ejpam-4841	20	12	)	)	PUNCT
ejpam-4841	20	13	,	,	PUNCT
ejpam-4841	20	14	for	for	ADP
ejpam-4841	20	15	any	any	DET
ejpam-4841	20	16	x	x	NOUN
ejpam-4841	20	17	,	,	PUNCT
ejpam-4841	20	18	y	y	PROPN
ejpam-4841	20	19	,	,	PUNCT
ejpam-4841	20	20	z	z	NOUN
ejpam-4841	20	21	∈	∈	PROPN
ejpam-4841	20	22	x.	x.	NOUN
ejpam-4841	20	23	x	x	PRON
ejpam-4841	20	24	is	be	AUX
ejpam-4841	20	25	said	say	VERB
ejpam-4841	20	26	to	to	PART
ejpam-4841	20	27	be	be	AUX
ejpam-4841	20	28	commutative	commutative	ADJ
ejpam-4841	20	29	if	if	SCONJ
ejpam-4841	20	30	x	x	ADP
ejpam-4841	20	31	∗	∗	NOUN
ejpam-4841	20	32	(	(	PUNCT
ejpam-4841	20	33	0	0	NUM
ejpam-4841	20	34	∗	∗	NUM
ejpam-4841	20	35	y	y	NOUN
ejpam-4841	20	36	)	)	PUNCT
ejpam-4841	21	1	=	=	SYM
ejpam-4841	21	2	y	y	PROPN
ejpam-4841	21	3	∗	∗	NOUN
ejpam-4841	21	4	(	(	PUNCT
ejpam-4841	21	5	0	0	NUM
ejpam-4841	21	6	∗	∗	NOUN
ejpam-4841	21	7	x	x	NOUN
ejpam-4841	21	8	)	)	PUNCT
ejpam-4841	21	9	for	for	ADP
ejpam-4841	21	10	any	any	DET
ejpam-4841	21	11	x	x	NOUN
ejpam-4841	21	12	,	,	PUNCT
ejpam-4841	21	13	y	y	PROPN
ejpam-4841	21	14	∈	∈	PROPN
ejpam-4841	21	15	x.	x.	NOUN
ejpam-4841	21	16	let	let	VERB
ejpam-4841	21	17	x	x	PRON
ejpam-4841	21	18	be	be	AUX
ejpam-4841	21	19	a	a	DET
ejpam-4841	21	20	b	b	NOUN
ejpam-4841	21	21	-	-	PUNCT
ejpam-4841	21	22	algebra	algebra	NOUN
ejpam-4841	21	23	.	.	PUNCT
ejpam-4841	22	1	recall	recall	VERB
ejpam-4841	22	2	that	that	PRON
ejpam-4841	22	3	for	for	ADP
ejpam-4841	22	4	any	any	DET
ejpam-4841	22	5	x	x	NOUN
ejpam-4841	22	6	,	,	PUNCT
ejpam-4841	22	7	y	y	PROPN
ejpam-4841	22	8	,	,	PUNCT
ejpam-4841	22	9	z	z	PROPN
ejpam-4841	22	10	∈	∈	PROPN
ejpam-4841	23	1	x	x	X
ejpam-4841	23	2	,	,	PUNCT
ejpam-4841	23	3	we	we	PRON
ejpam-4841	23	4	have	have	VERB
ejpam-4841	23	5	the	the	DET
ejpam-4841	23	6	following	follow	VERB
ejpam-4841	23	7	properties	property	NOUN
ejpam-4841	23	8	:	:	PUNCT
ejpam-4841	23	9	(	(	PUNCT
ejpam-4841	23	10	p1	p1	NOUN
ejpam-4841	23	11	)	)	PUNCT
ejpam-4841	23	12	0	0	NUM
ejpam-4841	23	13	∗	∗	NOUN
ejpam-4841	23	14	(	(	PUNCT
ejpam-4841	23	15	0	0	NUM
ejpam-4841	23	16	∗	∗	NOUN
ejpam-4841	23	17	x	x	NOUN
ejpam-4841	23	18	)	)	PUNCT
ejpam-4841	23	19	=	=	PUNCT
ejpam-4841	24	1	x	x	PUNCT
ejpam-4841	25	1	[	[	X
ejpam-4841	25	2	21	21	NUM
ejpam-4841	25	3	]	]	PUNCT
ejpam-4841	25	4	,	,	PUNCT
ejpam-4841	25	5	(	(	PUNCT
ejpam-4841	25	6	p2	p2	PROPN
ejpam-4841	25	7	)	)	PUNCT
ejpam-4841	25	8	x	x	SYM
ejpam-4841	25	9	∗	∗	NOUN
ejpam-4841	25	10	y	y	NOUN
ejpam-4841	25	11	=	=	SYM
ejpam-4841	25	12	0	0	NUM
ejpam-4841	25	13	∗	∗	NOUN
ejpam-4841	25	14	(	(	PUNCT
ejpam-4841	25	15	y	y	PROPN
ejpam-4841	25	16	∗	∗	NOUN
ejpam-4841	25	17	x	x	NOUN
ejpam-4841	25	18	)	)	PUNCT
ejpam-4841	26	1	[	[	X
ejpam-4841	26	2	26	26	NUM
ejpam-4841	26	3	]	]	PUNCT
ejpam-4841	26	4	,	,	PUNCT
ejpam-4841	26	5	(	(	PUNCT
ejpam-4841	26	6	p3	p3	PROPN
ejpam-4841	26	7	)	)	PUNCT
ejpam-4841	26	8	x	x	SYM
ejpam-4841	26	9	∗	∗	NOUN
ejpam-4841	26	10	(	(	PUNCT
ejpam-4841	26	11	y	y	PROPN
ejpam-4841	26	12	∗	∗	PROPN
ejpam-4841	26	13	z	z	NOUN
ejpam-4841	26	14	)	)	PUNCT
ejpam-4841	26	15	=	=	SYM
ejpam-4841	26	16	(	(	PUNCT
ejpam-4841	26	17	x	x	SYM
ejpam-4841	26	18	∗	∗	NOUN
ejpam-4841	26	19	(	(	PUNCT
ejpam-4841	26	20	0	0	NUM
ejpam-4841	26	21	∗	∗	NOUN
ejpam-4841	26	22	z	z	NOUN
ejpam-4841	26	23	)	)	PUNCT
ejpam-4841	26	24	)	)	PUNCT
ejpam-4841	26	25	∗	∗	NOUN
ejpam-4841	26	26	y	y	PROPN
ejpam-4841	27	1	[	[	X
ejpam-4841	27	2	21	21	NUM
ejpam-4841	27	3	]	]	PUNCT
ejpam-4841	27	4	,	,	PUNCT
ejpam-4841	27	5	(	(	PUNCT
ejpam-4841	27	6	p4	p4	ADJ
ejpam-4841	27	7	)	)	PUNCT
ejpam-4841	27	8	(	(	PUNCT
ejpam-4841	27	9	x	x	SYM
ejpam-4841	27	10	∗	∗	PROPN
ejpam-4841	27	11	z	z	NOUN
ejpam-4841	27	12	)	)	PUNCT
ejpam-4841	27	13	∗	∗	NOUN
ejpam-4841	27	14	(	(	PUNCT
ejpam-4841	27	15	y	y	PROPN
ejpam-4841	27	16	∗	∗	PROPN
ejpam-4841	27	17	z	z	NOUN
ejpam-4841	27	18	)	)	PUNCT
ejpam-4841	27	19	=	=	PUNCT
ejpam-4841	28	1	x	x	X
ejpam-4841	28	2	∗	∗	NOUN
ejpam-4841	28	3	y	y	PROPN
ejpam-4841	29	1	[	[	X
ejpam-4841	29	2	26	26	NUM
ejpam-4841	29	3	]	]	PUNCT
ejpam-4841	29	4	.	.	PUNCT
ejpam-4841	30	1	we	we	PRON
ejpam-4841	30	2	now	now	ADV
ejpam-4841	30	3	present	present	VERB
ejpam-4841	30	4	two	two	NUM
ejpam-4841	30	5	examples	example	NOUN
ejpam-4841	30	6	of	of	ADP
ejpam-4841	30	7	b	b	NOUN
ejpam-4841	30	8	-	-	PUNCT
ejpam-4841	30	9	algebras	algebras	PROPN
ejpam-4841	30	10	,	,	PUNCT
ejpam-4841	30	11	one	one	NUM
ejpam-4841	30	12	is	be	AUX
ejpam-4841	30	13	commutative	commutative	ADJ
ejpam-4841	30	14	and	and	CCONJ
ejpam-4841	30	15	the	the	DET
ejpam-4841	30	16	other	other	ADJ
ejpam-4841	30	17	is	be	AUX
ejpam-4841	30	18	noncommutative	noncommutative	ADJ
ejpam-4841	30	19	.	.	PUNCT
ejpam-4841	31	1	doi	doi	PROPN
ejpam-4841	31	2	:	:	PUNCT
ejpam-4841	31	3	https://doi.org/10.29020/nybg.ejpam.v16i3.4841	https://doi.org/10.29020/nybg.ejpam.v16i3.4841	ADJ
ejpam-4841	31	4	email	email	NOUN
ejpam-4841	31	5	address	address	NOUN
ejpam-4841	31	6	:	:	PUNCT
ejpam-4841	32	1	joel.adanza@norsu.edu.ph	joel.adanza@norsu.edu.ph	PROPN
ejpam-4841	32	2	(	(	PUNCT
ejpam-4841	32	3	j.	j.	PROPN
ejpam-4841	32	4	adanza	adanza	PROPN
ejpam-4841	32	5	)	)	PUNCT
ejpam-4841	32	6	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-4841	32	7	1663	1663	NUM
ejpam-4841	32	8	©	©	ADP
ejpam-4841	32	9	2023	2023	NUM
ejpam-4841	32	10	ejpam	ejpam	NOUN
ejpam-4841	32	11	all	all	DET
ejpam-4841	32	12	rights	right	NOUN
ejpam-4841	32	13	reserved	reserve	VERB
ejpam-4841	32	14	.	.	PUNCT
ejpam-4841	33	1	j.	j.	PROPN
ejpam-4841	33	2	adanza	adanza	PROPN
ejpam-4841	33	3	/	/	SYM
ejpam-4841	33	4	eur	eur	PROPN
ejpam-4841	33	5	.	.	PUNCT
ejpam-4841	34	1	j.	j.	PROPN
ejpam-4841	34	2	pure	pure	PROPN
ejpam-4841	34	3	appl	appl	PROPN
ejpam-4841	34	4	.	.	PROPN
ejpam-4841	34	5	math	math	PROPN
ejpam-4841	34	6	,	,	PUNCT
ejpam-4841	34	7	16	16	NUM
ejpam-4841	34	8	(	(	PUNCT
ejpam-4841	34	9	3	3	NUM
ejpam-4841	34	10	)	)	PUNCT
ejpam-4841	34	11	(	(	PUNCT
ejpam-4841	34	12	2023	2023	NUM
ejpam-4841	34	13	)	)	PUNCT
ejpam-4841	34	14	,	,	PUNCT
ejpam-4841	34	15	1663	1663	NUM
ejpam-4841	34	16	-	-	SYM
ejpam-4841	34	17	1674	1674	NUM
ejpam-4841	34	18	1664	1664	NUM
ejpam-4841	34	19	example	example	NOUN
ejpam-4841	34	20	1	1	NUM
ejpam-4841	34	21	.	.	PUNCT
ejpam-4841	35	1	let	let	VERB
ejpam-4841	35	2	x	x	PUNCT
ejpam-4841	35	3	=	=	PUNCT
ejpam-4841	35	4	{	{	PUNCT
ejpam-4841	35	5	0	0	NUM
ejpam-4841	35	6	,	,	PUNCT
ejpam-4841	35	7	1	1	NUM
ejpam-4841	35	8	,	,	PUNCT
ejpam-4841	35	9	2	2	NUM
ejpam-4841	35	10	,	,	PUNCT
ejpam-4841	35	11	3	3	NUM
ejpam-4841	35	12	}	}	PUNCT
ejpam-4841	35	13	be	be	AUX
ejpam-4841	35	14	a	a	DET
ejpam-4841	35	15	set	set	NOUN
ejpam-4841	35	16	with	with	ADP
ejpam-4841	35	17	the	the	DET
ejpam-4841	35	18	following	follow	VERB
ejpam-4841	35	19	table	table	NOUN
ejpam-4841	35	20	of	of	ADP
ejpam-4841	35	21	operations	operation	NOUN
ejpam-4841	35	22	:	:	PUNCT
ejpam-4841	35	23	∗	∗	NOUN
ejpam-4841	35	24	0	0	NUM
ejpam-4841	36	1	1	1	NUM
ejpam-4841	36	2	2	2	NUM
ejpam-4841	36	3	3	3	NUM
ejpam-4841	36	4	0	0	NUM
ejpam-4841	36	5	0	0	NUM
ejpam-4841	36	6	1	1	NUM
ejpam-4841	36	7	2	2	NUM
ejpam-4841	36	8	3	3	NUM
ejpam-4841	36	9	1	1	NUM
ejpam-4841	36	10	1	1	NUM
ejpam-4841	36	11	0	0	NUM
ejpam-4841	36	12	3	3	NUM
ejpam-4841	36	13	2	2	NUM
ejpam-4841	36	14	2	2	NUM
ejpam-4841	36	15	2	2	NUM
ejpam-4841	36	16	3	3	NUM
ejpam-4841	36	17	0	0	NUM
ejpam-4841	36	18	1	1	NUM
ejpam-4841	36	19	3	3	NUM
ejpam-4841	36	20	3	3	NUM
ejpam-4841	36	21	2	2	NUM
ejpam-4841	36	22	1	1	NUM
ejpam-4841	36	23	0	0	NUM
ejpam-4841	36	24	then	then	ADV
ejpam-4841	37	1	(	(	PUNCT
ejpam-4841	37	2	x	x	NOUN
ejpam-4841	37	3	;	;	PUNCT
ejpam-4841	37	4	∗	∗	NOUN
ejpam-4841	37	5	,	,	PUNCT
ejpam-4841	37	6	0	0	NUM
ejpam-4841	37	7	)	)	PUNCT
ejpam-4841	37	8	is	be	AUX
ejpam-4841	37	9	a	a	DET
ejpam-4841	37	10	commutative	commutative	ADJ
ejpam-4841	37	11	b	b	NOUN
ejpam-4841	37	12	-	-	PUNCT
ejpam-4841	37	13	algebra	algebra	NOUN
ejpam-4841	37	14	[	[	X
ejpam-4841	37	15	10	10	NUM
ejpam-4841	37	16	]	]	PUNCT
ejpam-4841	37	17	.	.	PUNCT
ejpam-4841	38	1	example	example	NOUN
ejpam-4841	39	1	2	2	NUM
ejpam-4841	39	2	.	.	PUNCT
ejpam-4841	39	3	let	let	VERB
ejpam-4841	39	4	x	x	PUNCT
ejpam-4841	39	5	=	=	PUNCT
ejpam-4841	39	6	{	{	PUNCT
ejpam-4841	39	7	0	0	NUM
ejpam-4841	39	8	,	,	PUNCT
ejpam-4841	39	9	1	1	NUM
ejpam-4841	39	10	,	,	PUNCT
ejpam-4841	39	11	2	2	NUM
ejpam-4841	39	12	,	,	PUNCT
ejpam-4841	39	13	3	3	NUM
ejpam-4841	39	14	,	,	PUNCT
ejpam-4841	39	15	4	4	NUM
ejpam-4841	39	16	,	,	PUNCT
ejpam-4841	39	17	5	5	NUM
ejpam-4841	39	18	}	}	PUNCT
ejpam-4841	39	19	be	be	AUX
ejpam-4841	39	20	a	a	DET
ejpam-4841	39	21	set	set	NOUN
ejpam-4841	39	22	with	with	ADP
ejpam-4841	39	23	the	the	DET
ejpam-4841	39	24	following	follow	VERB
ejpam-4841	39	25	table	table	NOUN
ejpam-4841	39	26	of	of	ADP
ejpam-4841	39	27	operations	operation	NOUN
ejpam-4841	39	28	:	:	PUNCT
ejpam-4841	39	29	∗	∗	NOUN
ejpam-4841	39	30	0	0	NUM
ejpam-4841	39	31	1	1	NUM
ejpam-4841	39	32	2	2	NUM
ejpam-4841	39	33	3	3	NUM
ejpam-4841	39	34	4	4	NUM
ejpam-4841	39	35	5	5	NUM
ejpam-4841	39	36	0	0	NUM
ejpam-4841	39	37	0	0	NUM
ejpam-4841	39	38	2	2	NUM
ejpam-4841	39	39	1	1	NUM
ejpam-4841	39	40	3	3	NUM
ejpam-4841	39	41	4	4	NUM
ejpam-4841	39	42	5	5	NUM
ejpam-4841	39	43	1	1	NUM
ejpam-4841	39	44	1	1	NUM
ejpam-4841	39	45	0	0	NUM
ejpam-4841	39	46	2	2	NUM
ejpam-4841	39	47	4	4	NUM
ejpam-4841	39	48	5	5	NUM
ejpam-4841	39	49	3	3	NUM
ejpam-4841	39	50	2	2	NUM
ejpam-4841	39	51	2	2	NUM
ejpam-4841	39	52	1	1	NUM
ejpam-4841	39	53	0	0	NUM
ejpam-4841	39	54	5	5	NUM
ejpam-4841	39	55	3	3	NUM
ejpam-4841	39	56	4	4	NUM
ejpam-4841	39	57	3	3	NUM
ejpam-4841	39	58	3	3	NUM
ejpam-4841	39	59	4	4	NUM
ejpam-4841	39	60	5	5	NUM
ejpam-4841	39	61	0	0	NUM
ejpam-4841	39	62	2	2	NUM
ejpam-4841	39	63	1	1	NUM
ejpam-4841	39	64	4	4	NUM
ejpam-4841	39	65	4	4	NUM
ejpam-4841	39	66	5	5	NUM
ejpam-4841	39	67	3	3	NUM
ejpam-4841	39	68	1	1	NUM
ejpam-4841	39	69	0	0	NUM
ejpam-4841	39	70	2	2	NUM
ejpam-4841	39	71	5	5	NUM
ejpam-4841	39	72	5	5	NUM
ejpam-4841	39	73	3	3	NUM
ejpam-4841	39	74	4	4	NUM
ejpam-4841	39	75	2	2	NUM
ejpam-4841	39	76	1	1	NUM
ejpam-4841	39	77	0	0	NUM
ejpam-4841	39	78	then	then	ADV
ejpam-4841	39	79	(	(	PUNCT
ejpam-4841	39	80	x	x	NOUN
ejpam-4841	39	81	;	;	PUNCT
ejpam-4841	39	82	∗	∗	NOUN
ejpam-4841	39	83	,	,	PUNCT
ejpam-4841	39	84	0	0	NUM
ejpam-4841	39	85	)	)	PUNCT
ejpam-4841	39	86	is	be	AUX
ejpam-4841	39	87	a	a	DET
ejpam-4841	39	88	noncommutative	noncommutative	ADJ
ejpam-4841	39	89	b	b	NOUN
ejpam-4841	39	90	-	-	PUNCT
ejpam-4841	39	91	algebra	algebra	NOUN
ejpam-4841	39	92	[	[	X
ejpam-4841	39	93	20	20	NUM
ejpam-4841	39	94	]	]	PUNCT
ejpam-4841	39	95	.	.	PUNCT
ejpam-4841	40	1	throughout	throughout	ADP
ejpam-4841	40	2	this	this	DET
ejpam-4841	40	3	paper	paper	NOUN
ejpam-4841	40	4	,	,	PUNCT
ejpam-4841	40	5	let	let	VERB
ejpam-4841	40	6	x	x	PRON
ejpam-4841	40	7	be	be	AUX
ejpam-4841	40	8	a	a	DET
ejpam-4841	40	9	b	b	NOUN
ejpam-4841	40	10	-	-	PUNCT
ejpam-4841	40	11	algebra	algebra	NOUN
ejpam-4841	40	12	(	(	PUNCT
ejpam-4841	40	13	x	x	NOUN
ejpam-4841	40	14	;	;	PUNCT
ejpam-4841	40	15	∗	∗	NOUN
ejpam-4841	40	16	,	,	PUNCT
ejpam-4841	40	17	0	0	NUM
ejpam-4841	40	18	)	)	PUNCT
ejpam-4841	40	19	.	.	PUNCT
ejpam-4841	41	1	in	in	ADP
ejpam-4841	41	2	[	[	X
ejpam-4841	41	3	20	20	NUM
ejpam-4841	41	4	]	]	PUNCT
ejpam-4841	41	5	,	,	PUNCT
ejpam-4841	41	6	a	a	DET
ejpam-4841	41	7	nonempty	nonempty	NOUN
ejpam-4841	41	8	subset	subset	VERB
ejpam-4841	41	9	n	n	PROPN
ejpam-4841	41	10	of	of	ADP
ejpam-4841	41	11	x	x	PROPN
ejpam-4841	41	12	is	be	AUX
ejpam-4841	41	13	called	call	VERB
ejpam-4841	41	14	a	a	DET
ejpam-4841	41	15	subalgebra	subalgebra	NOUN
ejpam-4841	41	16	of	of	ADP
ejpam-4841	41	17	x	x	PRON
ejpam-4841	41	18	if	if	SCONJ
ejpam-4841	41	19	x	x	PROPN
ejpam-4841	41	20	∗	∗	VERB
ejpam-4841	41	21	y	y	PROPN
ejpam-4841	41	22	∈	∈	PROPN
ejpam-4841	41	23	n	n	PROPN
ejpam-4841	41	24	for	for	ADP
ejpam-4841	41	25	any	any	DET
ejpam-4841	41	26	x	x	NOUN
ejpam-4841	41	27	,	,	PUNCT
ejpam-4841	41	28	y	y	PROPN
ejpam-4841	41	29	∈	∈	PROPN
ejpam-4841	41	30	n	n	ADV
ejpam-4841	41	31	.	.	PUNCT
ejpam-4841	42	1	a	a	DET
ejpam-4841	42	2	subalgebra	subalgebra	NOUN
ejpam-4841	42	3	n	n	PROPN
ejpam-4841	42	4	of	of	ADP
ejpam-4841	42	5	x	x	VERB
ejpam-4841	42	6	is	be	AUX
ejpam-4841	42	7	called	call	VERB
ejpam-4841	42	8	normal	normal	ADJ
ejpam-4841	42	9	in	in	ADP
ejpam-4841	42	10	x	x	PUNCT
ejpam-4841	42	11	if	if	SCONJ
ejpam-4841	42	12	(	(	PUNCT
ejpam-4841	42	13	x	x	SYM
ejpam-4841	42	14	∗	∗	NOUN
ejpam-4841	42	15	a	a	NOUN
ejpam-4841	42	16	)	)	PUNCT
ejpam-4841	42	17	∗	∗	NOUN
ejpam-4841	42	18	(	(	PUNCT
ejpam-4841	42	19	y	y	PROPN
ejpam-4841	42	20	∗	∗	X
ejpam-4841	42	21	b	b	NOUN
ejpam-4841	42	22	)	)	PUNCT
ejpam-4841	42	23	∈	∈	PROPN
ejpam-4841	42	24	n	n	NOUN
ejpam-4841	42	25	for	for	ADP
ejpam-4841	42	26	any	any	DET
ejpam-4841	42	27	x	x	PROPN
ejpam-4841	42	28	∗	∗	PROPN
ejpam-4841	42	29	y	y	PROPN
ejpam-4841	42	30	,	,	PUNCT
ejpam-4841	42	31	a	a	DET
ejpam-4841	42	32	∗	∗	NOUN
ejpam-4841	42	33	b	b	NOUN
ejpam-4841	42	34	∈	∈	PROPN
ejpam-4841	42	35	n	n	NOUN
ejpam-4841	42	36	.	.	PUNCT
ejpam-4841	43	1	let	let	VERB
ejpam-4841	43	2	n	n	PRON
ejpam-4841	43	3	be	be	AUX
ejpam-4841	43	4	normal	normal	ADJ
ejpam-4841	43	5	in	in	ADP
ejpam-4841	43	6	x.	x.	NOUN
ejpam-4841	43	7	define	define	VERB
ejpam-4841	43	8	a	a	DET
ejpam-4841	43	9	relation	relation	NOUN
ejpam-4841	43	10	∼n	∼n	NOUN
ejpam-4841	43	11	on	on	ADP
ejpam-4841	43	12	x	x	PUNCT
ejpam-4841	43	13	by	by	ADP
ejpam-4841	43	14	x	x	X
ejpam-4841	43	15	∼n	∼n	NOUN
ejpam-4841	43	16	y	y	NOUN
ejpam-4841	43	17	if	if	SCONJ
ejpam-4841	44	1	and	and	CCONJ
ejpam-4841	44	2	only	only	ADV
ejpam-4841	44	3	if	if	SCONJ
ejpam-4841	44	4	x	x	X
ejpam-4841	44	5	∗	∗	VERB
ejpam-4841	44	6	y	y	PROPN
ejpam-4841	44	7	∈	∈	PROPN
ejpam-4841	44	8	n	n	NOUN
ejpam-4841	44	9	,	,	PUNCT
ejpam-4841	44	10	where	where	SCONJ
ejpam-4841	44	11	x	x	X
ejpam-4841	44	12	,	,	PUNCT
ejpam-4841	44	13	y	y	PROPN
ejpam-4841	44	14	∈	∈	PROPN
ejpam-4841	44	15	x.	x.	NOUN
ejpam-4841	44	16	then	then	ADV
ejpam-4841	44	17	∼n	∼n	PROPN
ejpam-4841	44	18	is	be	AUX
ejpam-4841	44	19	an	an	DET
ejpam-4841	44	20	equivalence	equivalence	NOUN
ejpam-4841	44	21	relation	relation	NOUN
ejpam-4841	44	22	on	on	ADP
ejpam-4841	44	23	x.	x.	PROPN
ejpam-4841	44	24	denote	denote	VERB
ejpam-4841	44	25	the	the	DET
ejpam-4841	44	26	equivalence	equivalence	NOUN
ejpam-4841	44	27	class	class	NOUN
ejpam-4841	44	28	containing	contain	VERB
ejpam-4841	44	29	x	x	PUNCT
ejpam-4841	44	30	by	by	ADP
ejpam-4841	44	31	xn	xn	PROPN
ejpam-4841	44	32	,	,	PUNCT
ejpam-4841	44	33	that	that	ADV
ejpam-4841	44	34	is	is	ADV
ejpam-4841	44	35	,	,	PUNCT
ejpam-4841	44	36	xn	xn	PUNCT
ejpam-4841	45	1	=	=	PRON
ejpam-4841	45	2	{	{	PUNCT
ejpam-4841	45	3	y	y	PROPN
ejpam-4841	45	4	∈	∈	PROPN
ejpam-4841	45	5	x	x	X
ejpam-4841	45	6	:	:	PUNCT
ejpam-4841	45	7	x	x	PUNCT
ejpam-4841	45	8	∼n	∼n	PROPN
ejpam-4841	45	9	y	y	NOUN
ejpam-4841	45	10	}	}	PUNCT
ejpam-4841	45	11	.	.	PUNCT
ejpam-4841	46	1	let	let	VERB
ejpam-4841	46	2	x	x	X
ejpam-4841	46	3	/	/	SYM
ejpam-4841	46	4	n	n	NOUN
ejpam-4841	46	5	=	=	PRON
ejpam-4841	46	6	{	{	PUNCT
ejpam-4841	46	7	xn	xn	PROPN
ejpam-4841	46	8	:	:	PUNCT
ejpam-4841	46	9	x	x	PUNCT
ejpam-4841	46	10	∈	∈	NOUN
ejpam-4841	46	11	x	x	X
ejpam-4841	46	12	}	}	PUNCT
ejpam-4841	46	13	.	.	PUNCT
ejpam-4841	47	1	the	the	DET
ejpam-4841	47	2	binary	binary	PROPN
ejpam-4841	47	3	operation	operation	NOUN
ejpam-4841	47	4	in	in	ADP
ejpam-4841	47	5	x	x	NOUN
ejpam-4841	47	6	/	/	SYM
ejpam-4841	47	7	n	n	VERB
ejpam-4841	47	8	is	be	AUX
ejpam-4841	47	9	defined	define	VERB
ejpam-4841	47	10	by	by	ADP
ejpam-4841	47	11	xn	xn	PROPN
ejpam-4841	47	12	∗′	∗′	PROPN
ejpam-4841	47	13	yn	yn	X
ejpam-4841	47	14	=	=	SYM
ejpam-4841	47	15	(	(	PUNCT
ejpam-4841	47	16	x	x	X
ejpam-4841	47	17	∗	∗	NOUN
ejpam-4841	47	18	y)n	y)n	VERB
ejpam-4841	47	19	.	.	PUNCT
ejpam-4841	48	1	the	the	DET
ejpam-4841	48	2	b	b	X
ejpam-4841	48	3	-	-	PUNCT
ejpam-4841	48	4	algebra	algebra	NOUN
ejpam-4841	48	5	x	x	NOUN
ejpam-4841	48	6	/	/	SYM
ejpam-4841	48	7	n	n	PROPN
ejpam-4841	48	8	is	be	AUX
ejpam-4841	48	9	called	call	VERB
ejpam-4841	48	10	the	the	DET
ejpam-4841	48	11	quotient	quotient	NOUN
ejpam-4841	48	12	b	b	NOUN
ejpam-4841	48	13	-	-	PUNCT
ejpam-4841	48	14	algebra	algebra	NOUN
ejpam-4841	48	15	of	of	ADP
ejpam-4841	48	16	x	x	PUNCT
ejpam-4841	48	17	by	by	ADP
ejpam-4841	48	18	n	n	X
ejpam-4841	48	19	.	.	PUNCT
ejpam-4841	49	1	in	in	ADP
ejpam-4841	49	2	[	[	X
ejpam-4841	49	3	1	1	NUM
ejpam-4841	49	4	]	]	PUNCT
ejpam-4841	49	5	,	,	PUNCT
ejpam-4841	49	6	xh	xh	PROPN
ejpam-4841	49	7	=	=	PRON
ejpam-4841	49	8	{	{	PUNCT
ejpam-4841	49	9	x	x	X
ejpam-4841	49	10	∗	∗	NOUN
ejpam-4841	49	11	(	(	PUNCT
ejpam-4841	49	12	0	0	NUM
ejpam-4841	49	13	∗	∗	NUM
ejpam-4841	49	14	h	h	NOUN
ejpam-4841	49	15	)	)	PUNCT
ejpam-4841	49	16	:	:	PUNCT
ejpam-4841	49	17	h	h	PROPN
ejpam-4841	49	18	∈	∈	PROPN
ejpam-4841	49	19	h	h	NOUN
ejpam-4841	49	20	}	}	PUNCT
ejpam-4841	49	21	and	and	CCONJ
ejpam-4841	49	22	hx	hx	PROPN
ejpam-4841	49	23	=	=	SYM
ejpam-4841	49	24	{	{	PUNCT
ejpam-4841	49	25	h	h	NOUN
ejpam-4841	49	26	∗	∗	NOUN
ejpam-4841	49	27	(	(	PUNCT
ejpam-4841	49	28	0	0	NUM
ejpam-4841	49	29	∗	∗	NOUN
ejpam-4841	49	30	x	x	NOUN
ejpam-4841	49	31	)	)	PUNCT
ejpam-4841	49	32	:	:	PUNCT
ejpam-4841	50	1	h	h	PROPN
ejpam-4841	50	2	∈	∈	PROPN
ejpam-4841	50	3	h	h	NOUN
ejpam-4841	50	4	}	}	PUNCT
ejpam-4841	50	5	,	,	PUNCT
ejpam-4841	50	6	called	call	VERB
ejpam-4841	50	7	the	the	DET
ejpam-4841	50	8	left	left	NOUN
ejpam-4841	50	9	and	and	CCONJ
ejpam-4841	50	10	right	right	ADJ
ejpam-4841	50	11	b	b	NOUN
ejpam-4841	50	12	-	-	PUNCT
ejpam-4841	50	13	cosets	coset	NOUN
ejpam-4841	50	14	of	of	ADP
ejpam-4841	50	15	h	h	NOUN
ejpam-4841	50	16	in	in	ADP
ejpam-4841	50	17	x	x	NOUN
ejpam-4841	50	18	,	,	PUNCT
ejpam-4841	50	19	respectively	respectively	ADV
ejpam-4841	50	20	.	.	PUNCT
ejpam-4841	51	1	the	the	DET
ejpam-4841	51	2	subset	subset	NOUN
ejpam-4841	51	3	hk	hk	NOUN
ejpam-4841	52	1	[	[	X
ejpam-4841	52	2	11	11	NUM
ejpam-4841	52	3	]	]	PUNCT
ejpam-4841	52	4	of	of	ADP
ejpam-4841	52	5	x	x	PROPN
ejpam-4841	52	6	is	be	AUX
ejpam-4841	52	7	given	give	VERB
ejpam-4841	52	8	by	by	ADP
ejpam-4841	52	9	hk	hk	PROPN
ejpam-4841	52	10	=	=	PUNCT
ejpam-4841	52	11	{	{	PUNCT
ejpam-4841	52	12	x	x	PUNCT
ejpam-4841	52	13	∈	∈	NOUN
ejpam-4841	52	14	x	x	X
ejpam-4841	52	15	:	:	PUNCT
ejpam-4841	52	16	x	x	X
ejpam-4841	52	17	=	=	SYM
ejpam-4841	52	18	h	h	NOUN
ejpam-4841	52	19	∗	∗	NOUN
ejpam-4841	52	20	(	(	PUNCT
ejpam-4841	52	21	0	0	NUM
ejpam-4841	52	22	∗	∗	NOUN
ejpam-4841	52	23	k	k	NOUN
ejpam-4841	52	24	)	)	PUNCT
ejpam-4841	52	25	for	for	ADP
ejpam-4841	52	26	some	some	DET
ejpam-4841	52	27	h	h	NOUN
ejpam-4841	52	28	∈	∈	PROPN
ejpam-4841	52	29	h	h	NOUN
ejpam-4841	52	30	,	,	PUNCT
ejpam-4841	52	31	k	k	PROPN
ejpam-4841	52	32	∈	∈	PROPN
ejpam-4841	52	33	k	k	X
ejpam-4841	52	34	}	}	PUNCT
ejpam-4841	52	35	.	.	PUNCT
ejpam-4841	53	1	other	other	ADJ
ejpam-4841	53	2	properties	property	NOUN
ejpam-4841	53	3	and	and	CCONJ
ejpam-4841	53	4	characterizations	characterization	NOUN
ejpam-4841	53	5	of	of	ADP
ejpam-4841	53	6	b	b	NOUN
ejpam-4841	53	7	-	-	PUNCT
ejpam-4841	53	8	algebras	algebras	PROPN
ejpam-4841	53	9	can	can	AUX
ejpam-4841	53	10	be	be	AUX
ejpam-4841	53	11	found	find	VERB
ejpam-4841	53	12	in	in	ADP
ejpam-4841	53	13	some	some	DET
ejpam-4841	53	14	other	other	ADJ
ejpam-4841	53	15	papers	paper	NOUN
ejpam-4841	53	16	(	(	PUNCT
ejpam-4841	53	17	[	[	X
ejpam-4841	53	18	2–7	2–7	NOUN
ejpam-4841	53	19	,	,	PUNCT
ejpam-4841	53	20	9	9	NUM
ejpam-4841	53	21	,	,	PUNCT
ejpam-4841	53	22	10	10	NUM
ejpam-4841	53	23	,	,	PUNCT
ejpam-4841	53	24	12	12	NUM
ejpam-4841	53	25	,	,	PUNCT
ejpam-4841	53	26	16–19	16–19	NUM
ejpam-4841	53	27	]	]	PUNCT
ejpam-4841	53	28	,	,	PUNCT
ejpam-4841	53	29	[	[	X
ejpam-4841	53	30	22	22	NUM
ejpam-4841	53	31	,	,	PUNCT
ejpam-4841	53	32	23	23	NUM
ejpam-4841	53	33	]	]	PUNCT
ejpam-4841	53	34	,	,	PUNCT
ejpam-4841	53	35	[	[	X
ejpam-4841	53	36	25	25	NUM
ejpam-4841	53	37	,	,	PUNCT
ejpam-4841	53	38	26	26	NUM
ejpam-4841	53	39	]	]	PUNCT
ejpam-4841	53	40	.	.	PUNCT
ejpam-4841	53	41	)	)	PUNCT
ejpam-4841	54	1	in	in	ADP
ejpam-4841	54	2	particular	particular	ADJ
ejpam-4841	54	3	,	,	PUNCT
ejpam-4841	54	4	r.	r.	PROPN
ejpam-4841	54	5	soleimani	soleimani	PROPN
ejpam-4841	55	1	[	[	X
ejpam-4841	55	2	24	24	NUM
ejpam-4841	55	3	]	]	PUNCT
ejpam-4841	55	4	introduced	introduce	VERB
ejpam-4841	55	5	the	the	DET
ejpam-4841	55	6	notion	notion	NOUN
ejpam-4841	55	7	of	of	ADP
ejpam-4841	55	8	b	b	NOUN
ejpam-4841	55	9	-	-	PUNCT
ejpam-4841	55	10	commutators	commutator	NOUN
ejpam-4841	55	11	of	of	ADP
ejpam-4841	55	12	b	b	NOUN
ejpam-4841	55	13	-	-	PUNCT
ejpam-4841	55	14	algebras	algebras	X
ejpam-4841	55	15	.	.	PUNCT
ejpam-4841	56	1	he	he	PRON
ejpam-4841	56	2	also	also	ADV
ejpam-4841	56	3	established	establish	VERB
ejpam-4841	56	4	some	some	DET
ejpam-4841	56	5	basic	basic	ADJ
ejpam-4841	56	6	properties	property	NOUN
ejpam-4841	56	7	of	of	ADP
ejpam-4841	56	8	b	b	NOUN
ejpam-4841	56	9	-	-	PUNCT
ejpam-4841	56	10	commutators	commutator	NOUN
ejpam-4841	56	11	.	.	PUNCT
ejpam-4841	57	1	in	in	ADP
ejpam-4841	57	2	[	[	X
ejpam-4841	57	3	8	8	NUM
ejpam-4841	57	4	]	]	PUNCT
ejpam-4841	57	5	,	,	PUNCT
ejpam-4841	57	6	j.c	j.c	PROPN
ejpam-4841	57	7	.	.	PROPN
ejpam-4841	57	8	endam	endam	PROPN
ejpam-4841	57	9	and	and	CCONJ
ejpam-4841	57	10	g.s	g.s	PROPN
ejpam-4841	57	11	.	.	PROPN
ejpam-4841	57	12	dael	dael	PROPN
ejpam-4841	57	13	introduced	introduce	VERB
ejpam-4841	57	14	the	the	DET
ejpam-4841	57	15	notion	notion	NOUN
ejpam-4841	57	16	of	of	ADP
ejpam-4841	57	17	solvable	solvable	ADJ
ejpam-4841	57	18	b	b	NOUN
ejpam-4841	57	19	-	-	PUNCT
ejpam-4841	57	20	algebras	algebras	X
ejpam-4841	57	21	.	.	PUNCT
ejpam-4841	58	1	in	in	ADP
ejpam-4841	58	2	this	this	DET
ejpam-4841	58	3	paper	paper	NOUN
ejpam-4841	58	4	,	,	PUNCT
ejpam-4841	58	5	we	we	PRON
ejpam-4841	58	6	established	establish	VERB
ejpam-4841	58	7	some	some	DET
ejpam-4841	58	8	basic	basic	ADJ
ejpam-4841	58	9	properties	property	NOUN
ejpam-4841	58	10	of	of	ADP
ejpam-4841	58	11	b	b	NOUN
ejpam-4841	58	12	-	-	PUNCT
ejpam-4841	58	13	commutators	commutator	NOUN
ejpam-4841	58	14	of	of	ADP
ejpam-4841	58	15	b	b	NOUN
ejpam-4841	58	16	-	-	PUNCT
ejpam-4841	58	17	algebras	algebras	X
ejpam-4841	58	18	.	.	PUNCT
ejpam-4841	59	1	these	these	DET
ejpam-4841	59	2	properties	property	NOUN
ejpam-4841	59	3	are	be	AUX
ejpam-4841	59	4	used	use	VERB
ejpam-4841	59	5	in	in	ADP
ejpam-4841	59	6	characterizing	characterize	VERB
ejpam-4841	59	7	solvable	solvable	ADJ
ejpam-4841	59	8	b	b	NOUN
ejpam-4841	59	9	-	-	PUNCT
ejpam-4841	59	10	algebras	algebras	NOUN
ejpam-4841	59	11	via	via	ADP
ejpam-4841	59	12	bcommutators	bcommutator	NOUN
ejpam-4841	59	13	.	.	PUNCT
ejpam-4841	60	1	as	as	ADP
ejpam-4841	60	2	a	a	DET
ejpam-4841	60	3	result	result	NOUN
ejpam-4841	60	4	,	,	PUNCT
ejpam-4841	60	5	we	we	PRON
ejpam-4841	60	6	showed	show	VERB
ejpam-4841	60	7	that	that	SCONJ
ejpam-4841	60	8	a	a	DET
ejpam-4841	60	9	b	b	NOUN
ejpam-4841	60	10	-	-	PUNCT
ejpam-4841	60	11	algebra	algebra	NOUN
ejpam-4841	60	12	x	x	PUNCT
ejpam-4841	60	13	is	be	AUX
ejpam-4841	60	14	solvable	solvable	ADJ
ejpam-4841	60	15	if	if	SCONJ
ejpam-4841	60	16	and	and	CCONJ
ejpam-4841	60	17	only	only	ADV
ejpam-4841	60	18	if	if	SCONJ
ejpam-4841	60	19	there	there	PRON
ejpam-4841	60	20	is	be	VERB
ejpam-4841	60	21	positive	positive	ADJ
ejpam-4841	60	22	integer	integer	NOUN
ejpam-4841	60	23	m	m	VERB
ejpam-4841	60	24	such	such	ADJ
ejpam-4841	60	25	that	that	SCONJ
ejpam-4841	60	26	the	the	DET
ejpam-4841	60	27	mth	mth	NOUN
ejpam-4841	60	28	b	b	NOUN
ejpam-4841	60	29	-	-	PUNCT
ejpam-4841	60	30	commutator	commutator	NOUN
ejpam-4841	60	31	subalgebra	subalgebra	NOUN
ejpam-4841	60	32	x(m	x(m	PROPN
ejpam-4841	60	33	)	)	PUNCT
ejpam-4841	60	34	is	be	AUX
ejpam-4841	60	35	equal	equal	ADJ
ejpam-4841	60	36	to	to	ADP
ejpam-4841	60	37	{	{	PUNCT
ejpam-4841	60	38	0	0	NUM
ejpam-4841	60	39	}	}	PUNCT
ejpam-4841	60	40	.	.	PUNCT
ejpam-4841	61	1	2	2	NUM
ejpam-4841	61	2	.	.	X
ejpam-4841	61	3	b	b	X
ejpam-4841	61	4	-	-	PUNCT
ejpam-4841	61	5	commutators	commutator	NOUN
ejpam-4841	61	6	this	this	DET
ejpam-4841	61	7	section	section	NOUN
ejpam-4841	61	8	presents	present	VERB
ejpam-4841	61	9	some	some	DET
ejpam-4841	61	10	identities	identity	NOUN
ejpam-4841	61	11	satisfied	satisfy	VERB
ejpam-4841	61	12	by	by	ADP
ejpam-4841	61	13	the	the	DET
ejpam-4841	61	14	b	b	NOUN
ejpam-4841	61	15	-	-	PUNCT
ejpam-4841	61	16	commutators	commutator	NOUN
ejpam-4841	61	17	in	in	ADP
ejpam-4841	61	18	b	b	NOUN
ejpam-4841	61	19	-	-	PUNCT
ejpam-4841	61	20	algebras	algebras	X
ejpam-4841	61	21	.	.	PUNCT
ejpam-4841	62	1	we	we	PRON
ejpam-4841	62	2	recall	recall	VERB
ejpam-4841	62	3	first	first	ADV
ejpam-4841	62	4	from	from	ADP
ejpam-4841	62	5	[	[	X
ejpam-4841	62	6	24	24	NUM
ejpam-4841	62	7	]	]	PUNCT
ejpam-4841	62	8	the	the	DET
ejpam-4841	62	9	definition	definition	NOUN
ejpam-4841	62	10	of	of	ADP
ejpam-4841	62	11	b	b	NOUN
ejpam-4841	62	12	-	-	PUNCT
ejpam-4841	62	13	commutators	commutator	NOUN
ejpam-4841	62	14	.	.	PUNCT
ejpam-4841	63	1	let	let	VERB
ejpam-4841	63	2	x	x	PRON
ejpam-4841	63	3	,	,	PUNCT
ejpam-4841	63	4	y	y	PROPN
ejpam-4841	63	5	∈	∈	PROPN
ejpam-4841	63	6	x.	x.	NOUN
ejpam-4841	64	1	the	the	DET
ejpam-4841	64	2	b	b	NOUN
ejpam-4841	64	3	-	-	PUNCT
ejpam-4841	64	4	commutator	commutator	NOUN
ejpam-4841	64	5	of	of	ADP
ejpam-4841	64	6	x	x	PUNCT
ejpam-4841	64	7	and	and	CCONJ
ejpam-4841	64	8	y	y	PROPN
ejpam-4841	64	9	is	be	AUX
ejpam-4841	64	10	given	give	VERB
ejpam-4841	64	11	by	by	ADP
ejpam-4841	64	12	j.	j.	PROPN
ejpam-4841	64	13	adanza	adanza	PROPN
ejpam-4841	64	14	/	/	SYM
ejpam-4841	64	15	eur	eur	PROPN
ejpam-4841	64	16	.	.	PUNCT
ejpam-4841	65	1	j.	j.	PROPN
ejpam-4841	65	2	pure	pure	PROPN
ejpam-4841	65	3	appl	appl	PROPN
ejpam-4841	65	4	.	.	PROPN
ejpam-4841	65	5	math	math	PROPN
ejpam-4841	65	6	,	,	PUNCT
ejpam-4841	65	7	16	16	NUM
ejpam-4841	65	8	(	(	PUNCT
ejpam-4841	65	9	3	3	NUM
ejpam-4841	65	10	)	)	PUNCT
ejpam-4841	65	11	(	(	PUNCT
ejpam-4841	65	12	2023	2023	NUM
ejpam-4841	65	13	)	)	PUNCT
ejpam-4841	65	14	,	,	PUNCT
ejpam-4841	65	15	1663	1663	NUM
ejpam-4841	65	16	-	-	SYM
ejpam-4841	65	17	1674	1674	NUM
ejpam-4841	65	18	1665	1665	NUM
ejpam-4841	65	19	[	[	X
ejpam-4841	65	20	x	x	X
ejpam-4841	65	21	,	,	PUNCT
ejpam-4841	65	22	y	y	PROPN
ejpam-4841	65	23	]	]	X
ejpam-4841	65	24	=	=	SYM
ejpam-4841	65	25	(	(	PUNCT
ejpam-4841	65	26	(	(	PUNCT
ejpam-4841	65	27	0	0	NUM
ejpam-4841	65	28	∗	∗	NOUN
ejpam-4841	65	29	x	x	NOUN
ejpam-4841	65	30	)	)	PUNCT
ejpam-4841	65	31	∗	∗	PROPN
ejpam-4841	65	32	y	y	NOUN
ejpam-4841	65	33	)	)	PUNCT
ejpam-4841	65	34	∗	∗	NOUN
ejpam-4841	65	35	(	(	PUNCT
ejpam-4841	65	36	(	(	PUNCT
ejpam-4841	65	37	0	0	NUM
ejpam-4841	65	38	∗	∗	NUM
ejpam-4841	65	39	y	y	NOUN
ejpam-4841	65	40	)	)	PUNCT
ejpam-4841	65	41	∗	∗	NOUN
ejpam-4841	65	42	x	x	NOUN
ejpam-4841	65	43	)	)	PUNCT
ejpam-4841	65	44	.	.	PUNCT
ejpam-4841	66	1	the	the	DET
ejpam-4841	66	2	subalgebra	subalgebra	NOUN
ejpam-4841	66	3	of	of	ADP
ejpam-4841	66	4	x	x	PUNCT
ejpam-4841	66	5	generated	generate	VERB
ejpam-4841	66	6	by	by	ADP
ejpam-4841	66	7	{	{	PUNCT
ejpam-4841	66	8	[	[	X
ejpam-4841	66	9	x	x	X
ejpam-4841	66	10	,	,	PUNCT
ejpam-4841	66	11	y	y	PROPN
ejpam-4841	66	12	]	]	X
ejpam-4841	66	13	:	:	PUNCT
ejpam-4841	66	14	x	x	X
ejpam-4841	66	15	,	,	PUNCT
ejpam-4841	66	16	y	y	PROPN
ejpam-4841	66	17	∈	∈	PROPN
ejpam-4841	66	18	x	x	VERB
ejpam-4841	66	19	}	}	PUNCT
ejpam-4841	66	20	is	be	AUX
ejpam-4841	66	21	called	call	VERB
ejpam-4841	66	22	the	the	DET
ejpam-4841	66	23	derived	derived	ADJ
ejpam-4841	66	24	b	b	NOUN
ejpam-4841	66	25	-	-	PUNCT
ejpam-4841	66	26	algebra	algebra	NOUN
ejpam-4841	66	27	,	,	PUNCT
ejpam-4841	66	28	denoted	denote	VERB
ejpam-4841	66	29	by	by	ADP
ejpam-4841	66	30	d(x	d(x	PROPN
ejpam-4841	66	31	)	)	PUNCT
ejpam-4841	66	32	.	.	PUNCT
ejpam-4841	67	1	example	example	NOUN
ejpam-4841	68	1	3	3	X
ejpam-4841	68	2	.	.	PUNCT
ejpam-4841	69	1	let	let	AUX
ejpam-4841	69	2	(	(	PUNCT
ejpam-4841	69	3	x	x	X
ejpam-4841	69	4	;	;	PUNCT
ejpam-4841	69	5	∗	∗	NOUN
ejpam-4841	69	6	,	,	PUNCT
ejpam-4841	69	7	0	0	NUM
ejpam-4841	69	8	)	)	PUNCT
ejpam-4841	69	9	be	be	AUX
ejpam-4841	69	10	the	the	DET
ejpam-4841	69	11	b	b	NOUN
ejpam-4841	69	12	-	-	PUNCT
ejpam-4841	69	13	algebra	algebra	NOUN
ejpam-4841	69	14	in	in	ADP
ejpam-4841	69	15	example	example	NOUN
ejpam-4841	69	16	2	2	X
ejpam-4841	69	17	.	.	PUNCT
ejpam-4841	70	1	we	we	PRON
ejpam-4841	70	2	now	now	ADV
ejpam-4841	70	3	compute	compute	VERB
ejpam-4841	70	4	for	for	ADP
ejpam-4841	70	5	[	[	X
ejpam-4841	70	6	x	x	X
ejpam-4841	70	7	,	,	PUNCT
ejpam-4841	70	8	y	y	X
ejpam-4841	70	9	]	]	PUNCT
ejpam-4841	70	10	for	for	ADP
ejpam-4841	70	11	all	all	DET
ejpam-4841	70	12	x	x	NOUN
ejpam-4841	70	13	,	,	PUNCT
ejpam-4841	70	14	y	y	PROPN
ejpam-4841	70	15	∈	∈	PROPN
ejpam-4841	70	16	x.	x.	NOUN
ejpam-4841	71	1	these	these	DET
ejpam-4841	71	2	computations	computation	NOUN
ejpam-4841	71	3	are	be	AUX
ejpam-4841	71	4	used	use	VERB
ejpam-4841	71	5	in	in	ADP
ejpam-4841	71	6	the	the	DET
ejpam-4841	71	7	succeeding	succeed	VERB
ejpam-4841	71	8	examples	example	NOUN
ejpam-4841	71	9	.	.	PUNCT
ejpam-4841	72	1	[	[	X
ejpam-4841	72	2	0	0	NUM
ejpam-4841	72	3	,	,	PUNCT
ejpam-4841	72	4	0	0	NUM
ejpam-4841	72	5	]	]	PUNCT
ejpam-4841	72	6	=	=	SYM
ejpam-4841	72	7	0	0	PUNCT
ejpam-4841	73	1	[	[	X
ejpam-4841	73	2	1	1	NUM
ejpam-4841	73	3	,	,	PUNCT
ejpam-4841	73	4	1	1	NUM
ejpam-4841	73	5	]	]	PUNCT
ejpam-4841	73	6	=	=	SYM
ejpam-4841	73	7	0	0	PUNCT
ejpam-4841	74	1	[	[	X
ejpam-4841	74	2	2	2	NUM
ejpam-4841	74	3	,	,	PUNCT
ejpam-4841	74	4	2	2	NUM
ejpam-4841	74	5	]	]	PUNCT
ejpam-4841	74	6	=	=	SYM
ejpam-4841	74	7	0	0	PUNCT
ejpam-4841	75	1	[	[	X
ejpam-4841	75	2	3	3	NUM
ejpam-4841	75	3	,	,	PUNCT
ejpam-4841	75	4	3	3	NUM
ejpam-4841	75	5	]	]	PUNCT
ejpam-4841	75	6	=	=	SYM
ejpam-4841	75	7	0	0	PUNCT
ejpam-4841	75	8	[	[	X
ejpam-4841	75	9	4	4	NUM
ejpam-4841	75	10	,	,	PUNCT
ejpam-4841	75	11	4	4	NUM
ejpam-4841	75	12	]	]	PUNCT
ejpam-4841	75	13	=	=	SYM
ejpam-4841	75	14	0	0	PUNCT
ejpam-4841	76	1	[	[	X
ejpam-4841	76	2	5	5	NUM
ejpam-4841	76	3	,	,	PUNCT
ejpam-4841	76	4	5	5	NUM
ejpam-4841	76	5	]	]	PUNCT
ejpam-4841	76	6	=	=	SYM
ejpam-4841	76	7	0	0	PUNCT
ejpam-4841	77	1	[	[	X
ejpam-4841	77	2	0	0	NUM
ejpam-4841	77	3	,	,	PUNCT
ejpam-4841	77	4	1	1	NUM
ejpam-4841	77	5	]	]	PUNCT
ejpam-4841	77	6	=	=	SYM
ejpam-4841	77	7	0	0	PUNCT
ejpam-4841	78	1	[	[	X
ejpam-4841	78	2	1	1	NUM
ejpam-4841	78	3	,	,	PUNCT
ejpam-4841	78	4	0	0	NUM
ejpam-4841	78	5	]	]	PUNCT
ejpam-4841	78	6	=	=	SYM
ejpam-4841	78	7	0	0	PUNCT
ejpam-4841	79	1	[	[	X
ejpam-4841	79	2	2	2	NUM
ejpam-4841	79	3	,	,	PUNCT
ejpam-4841	79	4	0	0	NUM
ejpam-4841	79	5	]	]	PUNCT
ejpam-4841	79	6	=	=	SYM
ejpam-4841	79	7	0	0	PUNCT
ejpam-4841	80	1	[	[	X
ejpam-4841	80	2	3	3	NUM
ejpam-4841	80	3	,	,	PUNCT
ejpam-4841	80	4	0	0	NUM
ejpam-4841	80	5	]	]	PUNCT
ejpam-4841	80	6	=	=	SYM
ejpam-4841	80	7	0	0	PUNCT
ejpam-4841	81	1	[	[	X
ejpam-4841	81	2	4	4	NUM
ejpam-4841	81	3	,	,	PUNCT
ejpam-4841	81	4	0	0	NUM
ejpam-4841	81	5	]	]	PUNCT
ejpam-4841	81	6	=	=	SYM
ejpam-4841	81	7	0	0	PUNCT
ejpam-4841	82	1	[	[	X
ejpam-4841	82	2	5	5	NUM
ejpam-4841	82	3	,	,	PUNCT
ejpam-4841	82	4	0	0	NUM
ejpam-4841	82	5	]	]	PUNCT
ejpam-4841	82	6	=	=	SYM
ejpam-4841	82	7	0	0	PUNCT
ejpam-4841	83	1	[	[	X
ejpam-4841	83	2	0	0	NUM
ejpam-4841	83	3	,	,	PUNCT
ejpam-4841	83	4	2	2	NUM
ejpam-4841	83	5	]	]	PUNCT
ejpam-4841	83	6	=	=	SYM
ejpam-4841	83	7	0	0	PUNCT
ejpam-4841	84	1	[	[	X
ejpam-4841	84	2	1	1	NUM
ejpam-4841	84	3	,	,	PUNCT
ejpam-4841	84	4	2	2	NUM
ejpam-4841	84	5	]	]	PUNCT
ejpam-4841	84	6	=	=	SYM
ejpam-4841	84	7	0	0	PUNCT
ejpam-4841	85	1	[	[	X
ejpam-4841	85	2	2	2	NUM
ejpam-4841	85	3	,	,	PUNCT
ejpam-4841	85	4	1	1	NUM
ejpam-4841	85	5	]	]	PUNCT
ejpam-4841	85	6	=	=	SYM
ejpam-4841	85	7	0	0	PUNCT
ejpam-4841	86	1	[	[	X
ejpam-4841	86	2	3	3	NUM
ejpam-4841	86	3	,	,	PUNCT
ejpam-4841	86	4	1	1	NUM
ejpam-4841	86	5	]	]	PUNCT
ejpam-4841	86	6	=	=	SYM
ejpam-4841	86	7	2	2	NUM
ejpam-4841	87	1	[	[	SYM
ejpam-4841	87	2	4	4	NUM
ejpam-4841	87	3	,	,	PUNCT
ejpam-4841	87	4	1	1	NUM
ejpam-4841	87	5	]	]	PUNCT
ejpam-4841	87	6	=	=	SYM
ejpam-4841	87	7	2	2	NUM
ejpam-4841	88	1	[	[	SYM
ejpam-4841	88	2	5	5	NUM
ejpam-4841	88	3	,	,	PUNCT
ejpam-4841	88	4	1	1	NUM
ejpam-4841	88	5	]	]	PUNCT
ejpam-4841	88	6	=	=	SYM
ejpam-4841	89	1	2	2	NUM
ejpam-4841	89	2	[	[	X
ejpam-4841	89	3	0	0	NUM
ejpam-4841	89	4	,	,	PUNCT
ejpam-4841	89	5	3	3	NUM
ejpam-4841	89	6	]	]	PUNCT
ejpam-4841	89	7	=	=	SYM
ejpam-4841	89	8	0	0	PUNCT
ejpam-4841	90	1	[	[	X
ejpam-4841	90	2	1	1	NUM
ejpam-4841	90	3	,	,	PUNCT
ejpam-4841	90	4	3	3	NUM
ejpam-4841	90	5	]	]	PUNCT
ejpam-4841	90	6	=	=	SYM
ejpam-4841	90	7	1	1	NUM
ejpam-4841	91	1	[	[	X
ejpam-4841	91	2	2	2	NUM
ejpam-4841	91	3	,	,	PUNCT
ejpam-4841	91	4	3	3	NUM
ejpam-4841	91	5	]	]	PUNCT
ejpam-4841	91	6	=	=	SYM
ejpam-4841	91	7	2	2	NUM
ejpam-4841	92	1	[	[	X
ejpam-4841	92	2	3	3	NUM
ejpam-4841	92	3	,	,	PUNCT
ejpam-4841	92	4	2	2	NUM
ejpam-4841	92	5	]	]	PUNCT
ejpam-4841	92	6	=	=	SYM
ejpam-4841	93	1	1	1	NUM
ejpam-4841	94	1	[	[	SYM
ejpam-4841	94	2	4	4	NUM
ejpam-4841	94	3	,	,	PUNCT
ejpam-4841	94	4	2	2	NUM
ejpam-4841	94	5	]	]	PUNCT
ejpam-4841	94	6	=	=	SYM
ejpam-4841	95	1	1	1	NUM
ejpam-4841	96	1	[	[	X
ejpam-4841	96	2	5	5	NUM
ejpam-4841	96	3	,	,	PUNCT
ejpam-4841	96	4	2	2	NUM
ejpam-4841	96	5	]	]	PUNCT
ejpam-4841	96	6	=	=	SYM
ejpam-4841	97	1	1	1	NUM
ejpam-4841	97	2	[	[	X
ejpam-4841	97	3	0	0	NUM
ejpam-4841	97	4	,	,	PUNCT
ejpam-4841	97	5	4	4	NUM
ejpam-4841	97	6	]	]	PUNCT
ejpam-4841	97	7	=	=	SYM
ejpam-4841	97	8	0	0	PUNCT
ejpam-4841	98	1	[	[	X
ejpam-4841	98	2	1	1	NUM
ejpam-4841	98	3	,	,	PUNCT
ejpam-4841	98	4	4	4	NUM
ejpam-4841	98	5	]	]	PUNCT
ejpam-4841	98	6	=	=	SYM
ejpam-4841	99	1	1	1	NUM
ejpam-4841	100	1	[	[	X
ejpam-4841	100	2	2	2	NUM
ejpam-4841	100	3	,	,	PUNCT
ejpam-4841	100	4	4	4	NUM
ejpam-4841	100	5	]	]	PUNCT
ejpam-4841	100	6	=	=	SYM
ejpam-4841	100	7	2	2	NUM
ejpam-4841	101	1	[	[	X
ejpam-4841	101	2	3	3	NUM
ejpam-4841	101	3	,	,	PUNCT
ejpam-4841	101	4	4	4	NUM
ejpam-4841	101	5	]	]	PUNCT
ejpam-4841	101	6	=	=	SYM
ejpam-4841	101	7	1	1	NUM
ejpam-4841	102	1	[	[	SYM
ejpam-4841	102	2	4	4	NUM
ejpam-4841	102	3	,	,	PUNCT
ejpam-4841	102	4	3	3	NUM
ejpam-4841	102	5	]	]	PUNCT
ejpam-4841	102	6	=	=	SYM
ejpam-4841	102	7	2	2	NUM
ejpam-4841	103	1	[	[	SYM
ejpam-4841	103	2	5	5	NUM
ejpam-4841	103	3	,	,	PUNCT
ejpam-4841	103	4	3	3	NUM
ejpam-4841	103	5	]	]	PUNCT
ejpam-4841	103	6	=	=	SYM
ejpam-4841	104	1	1	1	NUM
ejpam-4841	104	2	[	[	X
ejpam-4841	104	3	0	0	NUM
ejpam-4841	104	4	,	,	PUNCT
ejpam-4841	104	5	5	5	NUM
ejpam-4841	104	6	]	]	PUNCT
ejpam-4841	104	7	=	=	SYM
ejpam-4841	104	8	0	0	PUNCT
ejpam-4841	105	1	[	[	X
ejpam-4841	105	2	1	1	NUM
ejpam-4841	105	3	,	,	PUNCT
ejpam-4841	105	4	5	5	NUM
ejpam-4841	105	5	]	]	PUNCT
ejpam-4841	105	6	=	=	SYM
ejpam-4841	105	7	1	1	NUM
ejpam-4841	106	1	[	[	X
ejpam-4841	106	2	2	2	NUM
ejpam-4841	106	3	,	,	PUNCT
ejpam-4841	106	4	5	5	NUM
ejpam-4841	106	5	]	]	PUNCT
ejpam-4841	106	6	=	=	SYM
ejpam-4841	106	7	2	2	NUM
ejpam-4841	106	8	[	[	X
ejpam-4841	106	9	3	3	NUM
ejpam-4841	106	10	,	,	PUNCT
ejpam-4841	106	11	5	5	NUM
ejpam-4841	106	12	]	]	PUNCT
ejpam-4841	106	13	=	=	SYM
ejpam-4841	106	14	2	2	NUM
ejpam-4841	107	1	[	[	SYM
ejpam-4841	107	2	4	4	NUM
ejpam-4841	107	3	,	,	PUNCT
ejpam-4841	107	4	5	5	NUM
ejpam-4841	107	5	]	]	PUNCT
ejpam-4841	107	6	=	=	SYM
ejpam-4841	108	1	1	1	NUM
ejpam-4841	109	1	[	[	X
ejpam-4841	109	2	5	5	NUM
ejpam-4841	109	3	,	,	PUNCT
ejpam-4841	109	4	4	4	NUM
ejpam-4841	109	5	]	]	PUNCT
ejpam-4841	109	6	=	=	SYM
ejpam-4841	109	7	2	2	NUM
ejpam-4841	109	8	a	a	DET
ejpam-4841	109	9	map	map	NOUN
ejpam-4841	109	10	φ	φ	X
ejpam-4841	109	11	:	:	PUNCT
ejpam-4841	109	12	x	x	X
ejpam-4841	109	13	→	→	SYM
ejpam-4841	109	14	y	y	PROPN
ejpam-4841	109	15	is	be	AUX
ejpam-4841	109	16	called	call	VERB
ejpam-4841	109	17	a	a	DET
ejpam-4841	109	18	b	b	NOUN
ejpam-4841	109	19	-	-	PUNCT
ejpam-4841	109	20	homomorphism	homomorphism	NOUN
ejpam-4841	109	21	[	[	X
ejpam-4841	109	22	20	20	NUM
ejpam-4841	109	23	]	]	PUNCT
ejpam-4841	109	24	if	if	SCONJ
ejpam-4841	109	25	φ(x	φ(x	PROPN
ejpam-4841	109	26	∗	∗	PROPN
ejpam-4841	109	27	y	y	NOUN
ejpam-4841	109	28	)	)	PUNCT
ejpam-4841	110	1	=	=	SYM
ejpam-4841	110	2	φ(x	φ(x	NOUN
ejpam-4841	110	3	)	)	PUNCT
ejpam-4841	110	4	∗	∗	NOUN
ejpam-4841	110	5	φ(y	φ(y	NOUN
ejpam-4841	110	6	)	)	PUNCT
ejpam-4841	110	7	for	for	ADP
ejpam-4841	110	8	any	any	DET
ejpam-4841	110	9	x	x	NOUN
ejpam-4841	110	10	,	,	PUNCT
ejpam-4841	110	11	y	y	PROPN
ejpam-4841	110	12	∈	∈	PROPN
ejpam-4841	110	13	x.	x.	NOUN
ejpam-4841	110	14	lemma	lemma	PROPN
ejpam-4841	111	1	1	1	NUM
ejpam-4841	111	2	.	.	PUNCT
ejpam-4841	112	1	[	[	X
ejpam-4841	112	2	24	24	NUM
ejpam-4841	112	3	]	]	PUNCT
ejpam-4841	112	4	let	let	VERB
ejpam-4841	112	5	φ	φ	NOUN
ejpam-4841	112	6	:	:	PUNCT
ejpam-4841	112	7	x	x	X
ejpam-4841	112	8	→	→	SYM
ejpam-4841	112	9	y	y	X
ejpam-4841	112	10	be	be	AUX
ejpam-4841	112	11	a	a	DET
ejpam-4841	112	12	b	b	NOUN
ejpam-4841	112	13	-	-	PUNCT
ejpam-4841	112	14	homomorphism	homomorphism	NOUN
ejpam-4841	112	15	and	and	CCONJ
ejpam-4841	112	16	let	let	VERB
ejpam-4841	112	17	x	x	PRON
ejpam-4841	112	18	,	,	PUNCT
ejpam-4841	112	19	y	y	PROPN
ejpam-4841	112	20	∈	∈	PROPN
ejpam-4841	112	21	x.	x.	NOUN
ejpam-4841	112	22	then	then	ADV
ejpam-4841	112	23	i.	i.	PROPN
ejpam-4841	113	1	[	[	X
ejpam-4841	113	2	x	x	X
ejpam-4841	113	3	,	,	PUNCT
ejpam-4841	113	4	y	y	PROPN
ejpam-4841	113	5	]	]	X
ejpam-4841	113	6	=	=	PUNCT
ejpam-4841	113	7	0	0	PUNCT
ejpam-4841	113	8	if	if	SCONJ
ejpam-4841	113	9	and	and	CCONJ
ejpam-4841	113	10	only	only	ADV
ejpam-4841	113	11	if	if	SCONJ
ejpam-4841	113	12	x	x	X
ejpam-4841	113	13	∗	∗	NOUN
ejpam-4841	113	14	(	(	PUNCT
ejpam-4841	113	15	0	0	NUM
ejpam-4841	113	16	∗	∗	NUM
ejpam-4841	113	17	y	y	NOUN
ejpam-4841	113	18	)	)	PUNCT
ejpam-4841	114	1	=	=	SYM
ejpam-4841	114	2	y	y	PROPN
ejpam-4841	114	3	∗	∗	NOUN
ejpam-4841	114	4	(	(	PUNCT
ejpam-4841	114	5	0	0	NUM
ejpam-4841	114	6	∗	∗	NOUN
ejpam-4841	114	7	x	x	NOUN
ejpam-4841	114	8	)	)	PUNCT
ejpam-4841	114	9	,	,	PUNCT
ejpam-4841	114	10	ii	ii	PROPN
ejpam-4841	114	11	.	.	PUNCT
ejpam-4841	115	1	φ([x	φ([x	PROPN
ejpam-4841	115	2	,	,	PUNCT
ejpam-4841	115	3	y	y	NOUN
ejpam-4841	115	4	]	]	X
ejpam-4841	115	5	)	)	PUNCT
ejpam-4841	115	6	=	=	PUNCT
ejpam-4841	116	1	[	[	X
ejpam-4841	116	2	φ(x	φ(x	NOUN
ejpam-4841	116	3	)	)	PUNCT
ejpam-4841	116	4	,	,	PUNCT
ejpam-4841	116	5	φ(y	φ(y	PROPN
ejpam-4841	116	6	)	)	PUNCT
ejpam-4841	116	7	]	]	PUNCT
ejpam-4841	116	8	,	,	PUNCT
ejpam-4841	116	9	iii	iii	X
ejpam-4841	116	10	.	.	PUNCT
ejpam-4841	117	1	if	if	SCONJ
ejpam-4841	117	2	φ	φ	PROPN
ejpam-4841	117	3	is	be	AUX
ejpam-4841	117	4	onto	onto	ADP
ejpam-4841	117	5	,	,	PUNCT
ejpam-4841	117	6	then	then	ADV
ejpam-4841	117	7	φ(d(x	φ(d(x	PROPN
ejpam-4841	117	8	)	)	PUNCT
ejpam-4841	117	9	)	)	PUNCT
ejpam-4841	118	1	=	=	SYM
ejpam-4841	118	2	d(φ(x	d(φ(x	PROPN
ejpam-4841	118	3	)	)	PUNCT
ejpam-4841	118	4	)	)	PUNCT
ejpam-4841	118	5	.	.	PUNCT
ejpam-4841	119	1	lemma	lemma	PROPN
ejpam-4841	119	2	2	2	X
ejpam-4841	119	3	.	.	PUNCT
ejpam-4841	120	1	let	let	VERB
ejpam-4841	120	2	x	x	PRON
ejpam-4841	120	3	,	,	PUNCT
ejpam-4841	120	4	y	y	PROPN
ejpam-4841	120	5	∈	∈	PROPN
ejpam-4841	120	6	x.	x.	NOUN
ejpam-4841	120	7	then	then	ADV
ejpam-4841	121	1	i.	i.	PROPN
ejpam-4841	122	1	[	[	X
ejpam-4841	122	2	x	x	X
ejpam-4841	122	3	,	,	PUNCT
ejpam-4841	122	4	x	x	X
ejpam-4841	122	5	]	]	X
ejpam-4841	123	1	=	=	PUNCT
ejpam-4841	124	1	[	[	X
ejpam-4841	124	2	x	x	X
ejpam-4841	124	3	,	,	PUNCT
ejpam-4841	124	4	0	0	NUM
ejpam-4841	124	5	]	]	PUNCT
ejpam-4841	124	6	=	=	PUNCT
ejpam-4841	125	1	[	[	X
ejpam-4841	125	2	0	0	NUM
ejpam-4841	125	3	,	,	PUNCT
ejpam-4841	125	4	x	x	X
ejpam-4841	125	5	]	]	X
ejpam-4841	125	6	=	=	SYM
ejpam-4841	125	7	0	0	NUM
ejpam-4841	125	8	,	,	PUNCT
ejpam-4841	125	9	ii	ii	PROPN
ejpam-4841	125	10	.	.	PROPN
ejpam-4841	125	11	0	0	NUM
ejpam-4841	125	12	∗	∗	NOUN
ejpam-4841	126	1	[	[	X
ejpam-4841	126	2	x	x	X
ejpam-4841	126	3	,	,	PUNCT
ejpam-4841	126	4	y	y	PROPN
ejpam-4841	126	5	]	]	X
ejpam-4841	126	6	=	=	PUNCT
ejpam-4841	127	1	[	[	X
ejpam-4841	127	2	y	y	PROPN
ejpam-4841	127	3	,	,	PUNCT
ejpam-4841	127	4	x	x	NOUN
ejpam-4841	127	5	]	]	X
ejpam-4841	127	6	.	.	PUNCT
ejpam-4841	128	1	proof	proof	NOUN
ejpam-4841	128	2	.	.	PUNCT
ejpam-4841	129	1	clearly	clearly	ADV
ejpam-4841	129	2	,	,	PUNCT
ejpam-4841	129	3	(	(	PUNCT
ejpam-4841	129	4	i	i	NOUN
ejpam-4841	129	5	)	)	PUNCT
ejpam-4841	129	6	follows	follow	VERB
ejpam-4841	129	7	from	from	ADP
ejpam-4841	129	8	lemma	lemma	PROPN
ejpam-4841	129	9	1(i	1(i	NUM
ejpam-4841	129	10	)	)	PUNCT
ejpam-4841	129	11	and	and	CCONJ
ejpam-4841	129	12	(	(	PUNCT
ejpam-4841	129	13	p1	p1	PROPN
ejpam-4841	129	14	)	)	PUNCT
ejpam-4841	129	15	;	;	PUNCT
ejpam-4841	129	16	(	(	PUNCT
ejpam-4841	129	17	ii	ii	NOUN
ejpam-4841	129	18	)	)	PUNCT
ejpam-4841	129	19	follows	follow	VERB
ejpam-4841	129	20	from	from	ADP
ejpam-4841	129	21	(	(	PUNCT
ejpam-4841	129	22	p2	p2	NOUN
ejpam-4841	129	23	)	)	PUNCT
ejpam-4841	129	24	.	.	PUNCT
ejpam-4841	130	1	let	let	VERB
ejpam-4841	130	2	x	x	PRON
ejpam-4841	130	3	,	,	PUNCT
ejpam-4841	130	4	w	w	PROPN
ejpam-4841	130	5	∈	∈	PROPN
ejpam-4841	130	6	x.	x.	NOUN
ejpam-4841	131	1	we	we	PRON
ejpam-4841	131	2	define	define	VERB
ejpam-4841	131	3	xw	xw	PROPN
ejpam-4841	131	4	to	to	PART
ejpam-4841	131	5	be	be	AUX
ejpam-4841	131	6	the	the	DET
ejpam-4841	131	7	element	element	NOUN
ejpam-4841	131	8	(	(	PUNCT
ejpam-4841	131	9	0	0	NUM
ejpam-4841	131	10	∗	∗	PROPN
ejpam-4841	131	11	w	w	NOUN
ejpam-4841	131	12	)	)	PUNCT
ejpam-4841	131	13	∗	∗	NOUN
ejpam-4841	131	14	(	(	PUNCT
ejpam-4841	131	15	(	(	PUNCT
ejpam-4841	131	16	0	0	NUM
ejpam-4841	131	17	∗	∗	PROPN
ejpam-4841	131	18	w	w	PROPN
ejpam-4841	131	19	)	)	PUNCT
ejpam-4841	131	20	∗	∗	NOUN
ejpam-4841	131	21	x	x	NOUN
ejpam-4841	131	22	)	)	PUNCT
ejpam-4841	131	23	.	.	PUNCT
ejpam-4841	132	1	for	for	ADP
ejpam-4841	132	2	instance	instance	NOUN
ejpam-4841	132	3	,	,	PUNCT
ejpam-4841	132	4	let	let	VERB
ejpam-4841	132	5	x	x	PRON
ejpam-4841	132	6	be	be	AUX
ejpam-4841	132	7	the	the	DET
ejpam-4841	132	8	b	b	NOUN
ejpam-4841	132	9	-	-	PUNCT
ejpam-4841	132	10	algebra	algebra	NOUN
ejpam-4841	132	11	in	in	ADP
ejpam-4841	132	12	example	example	NOUN
ejpam-4841	132	13	1	1	NUM
ejpam-4841	132	14	.	.	PUNCT
ejpam-4841	133	1	below	below	ADV
ejpam-4841	133	2	are	be	AUX
ejpam-4841	133	3	some	some	DET
ejpam-4841	133	4	sample	sample	NOUN
ejpam-4841	133	5	computations	computation	NOUN
ejpam-4841	133	6	to	to	PART
ejpam-4841	133	7	illustrate	illustrate	VERB
ejpam-4841	133	8	xw	xw	PROPN
ejpam-4841	133	9	:	:	PUNCT
ejpam-4841	133	10	23	23	NUM
ejpam-4841	133	11	=	=	SYM
ejpam-4841	133	12	(	(	PUNCT
ejpam-4841	133	13	0	0	NUM
ejpam-4841	133	14	∗	∗	NOUN
ejpam-4841	133	15	3	3	NUM
ejpam-4841	133	16	)	)	PUNCT
ejpam-4841	133	17	∗	∗	NOUN
ejpam-4841	133	18	(	(	PUNCT
ejpam-4841	133	19	(	(	PUNCT
ejpam-4841	133	20	0	0	NUM
ejpam-4841	133	21	∗	∗	NOUN
ejpam-4841	133	22	3	3	NUM
ejpam-4841	133	23	)	)	PUNCT
ejpam-4841	133	24	∗	∗	NOUN
ejpam-4841	133	25	2	2	NUM
ejpam-4841	133	26	)	)	PUNCT
ejpam-4841	133	27	=	=	SYM
ejpam-4841	133	28	3	3	NUM
ejpam-4841	133	29	∗	∗	NOUN
ejpam-4841	133	30	(	(	PUNCT
ejpam-4841	133	31	3	3	NUM
ejpam-4841	133	32	∗	∗	NOUN
ejpam-4841	133	33	2	2	NUM
ejpam-4841	133	34	)	)	PUNCT
ejpam-4841	133	35	=	=	SYM
ejpam-4841	133	36	3	3	NUM
ejpam-4841	133	37	∗	∗	NOUN
ejpam-4841	133	38	1	1	NUM
ejpam-4841	133	39	=	=	SYM
ejpam-4841	133	40	2	2	NUM
ejpam-4841	133	41	32	32	NUM
ejpam-4841	133	42	=	=	SYM
ejpam-4841	133	43	(	(	PUNCT
ejpam-4841	133	44	0	0	NUM
ejpam-4841	133	45	∗	∗	NOUN
ejpam-4841	133	46	2	2	NUM
ejpam-4841	133	47	)	)	PUNCT
ejpam-4841	133	48	∗	∗	NOUN
ejpam-4841	133	49	(	(	PUNCT
ejpam-4841	133	50	(	(	PUNCT
ejpam-4841	133	51	0	0	NUM
ejpam-4841	133	52	∗	∗	NOUN
ejpam-4841	133	53	2	2	NUM
ejpam-4841	133	54	)	)	PUNCT
ejpam-4841	133	55	∗	∗	NOUN
ejpam-4841	133	56	3	3	NUM
ejpam-4841	133	57	)	)	PUNCT
ejpam-4841	133	58	=	=	SYM
ejpam-4841	133	59	2	2	NUM
ejpam-4841	133	60	∗	∗	NOUN
ejpam-4841	133	61	(	(	PUNCT
ejpam-4841	133	62	2	2	NUM
ejpam-4841	133	63	∗	∗	NOUN
ejpam-4841	133	64	3	3	NUM
ejpam-4841	133	65	)	)	PUNCT
ejpam-4841	133	66	=	=	SYM
ejpam-4841	133	67	2	2	NUM
ejpam-4841	133	68	∗	∗	NOUN
ejpam-4841	133	69	1	1	NUM
ejpam-4841	133	70	=	=	SYM
ejpam-4841	133	71	3	3	NUM
ejpam-4841	133	72	13	13	NUM
ejpam-4841	133	73	=	=	SYM
ejpam-4841	133	74	(	(	PUNCT
ejpam-4841	133	75	0	0	NUM
ejpam-4841	133	76	∗	∗	NOUN
ejpam-4841	133	77	3	3	NUM
ejpam-4841	133	78	)	)	PUNCT
ejpam-4841	133	79	∗	∗	NOUN
ejpam-4841	133	80	(	(	PUNCT
ejpam-4841	133	81	(	(	PUNCT
ejpam-4841	133	82	0	0	NUM
ejpam-4841	133	83	∗	∗	NOUN
ejpam-4841	133	84	3	3	NUM
ejpam-4841	133	85	)	)	PUNCT
ejpam-4841	133	86	∗	∗	NOUN
ejpam-4841	133	87	1	1	NUM
ejpam-4841	133	88	)	)	PUNCT
ejpam-4841	133	89	=	=	SYM
ejpam-4841	133	90	3	3	NUM
ejpam-4841	133	91	∗	∗	NOUN
ejpam-4841	133	92	(	(	PUNCT
ejpam-4841	133	93	3	3	NUM
ejpam-4841	133	94	∗	∗	NOUN
ejpam-4841	133	95	1	1	NUM
ejpam-4841	133	96	)	)	PUNCT
ejpam-4841	133	97	=	=	SYM
ejpam-4841	133	98	3	3	NUM
ejpam-4841	133	99	∗	∗	NOUN
ejpam-4841	133	100	2	2	NUM
ejpam-4841	133	101	=	=	SYM
ejpam-4841	133	102	1	1	NUM
ejpam-4841	133	103	31	31	NUM
ejpam-4841	133	104	=	=	SYM
ejpam-4841	133	105	(	(	PUNCT
ejpam-4841	133	106	0	0	NUM
ejpam-4841	133	107	∗	∗	NOUN
ejpam-4841	133	108	1	1	NUM
ejpam-4841	133	109	)	)	PUNCT
ejpam-4841	133	110	∗	∗	NOUN
ejpam-4841	133	111	(	(	PUNCT
ejpam-4841	133	112	(	(	PUNCT
ejpam-4841	133	113	0	0	NUM
ejpam-4841	133	114	∗	∗	NOUN
ejpam-4841	133	115	1	1	NUM
ejpam-4841	133	116	)	)	PUNCT
ejpam-4841	133	117	∗	∗	NOUN
ejpam-4841	133	118	3	3	NUM
ejpam-4841	133	119	)	)	PUNCT
ejpam-4841	133	120	=	=	SYM
ejpam-4841	133	121	1	1	NUM
ejpam-4841	133	122	∗	∗	NOUN
ejpam-4841	133	123	(	(	PUNCT
ejpam-4841	133	124	1	1	NUM
ejpam-4841	133	125	∗	∗	NOUN
ejpam-4841	133	126	3	3	NUM
ejpam-4841	133	127	)	)	PUNCT
ejpam-4841	133	128	=	=	SYM
ejpam-4841	133	129	1	1	NUM
ejpam-4841	133	130	∗	∗	NOUN
ejpam-4841	133	131	2	2	NUM
ejpam-4841	133	132	=	=	SYM
ejpam-4841	133	133	3	3	NUM
ejpam-4841	133	134	12	12	NUM
ejpam-4841	133	135	=	=	SYM
ejpam-4841	133	136	(	(	PUNCT
ejpam-4841	133	137	0	0	NUM
ejpam-4841	133	138	∗	∗	NOUN
ejpam-4841	133	139	2	2	NUM
ejpam-4841	133	140	)	)	PUNCT
ejpam-4841	133	141	∗	∗	NOUN
ejpam-4841	133	142	(	(	PUNCT
ejpam-4841	133	143	(	(	PUNCT
ejpam-4841	133	144	0	0	NUM
ejpam-4841	133	145	∗	∗	NOUN
ejpam-4841	133	146	2	2	NUM
ejpam-4841	133	147	)	)	PUNCT
ejpam-4841	133	148	∗	∗	NOUN
ejpam-4841	133	149	1	1	NUM
ejpam-4841	133	150	)	)	PUNCT
ejpam-4841	133	151	=	=	SYM
ejpam-4841	133	152	2	2	NUM
ejpam-4841	133	153	∗	∗	NOUN
ejpam-4841	133	154	(	(	PUNCT
ejpam-4841	133	155	2	2	NUM
ejpam-4841	133	156	∗	∗	NOUN
ejpam-4841	133	157	1	1	NUM
ejpam-4841	133	158	)	)	PUNCT
ejpam-4841	133	159	=	=	SYM
ejpam-4841	133	160	2	2	NUM
ejpam-4841	133	161	∗	∗	NOUN
ejpam-4841	133	162	3	3	NUM
ejpam-4841	133	163	=	=	SYM
ejpam-4841	133	164	1	1	NUM
ejpam-4841	133	165	21	21	NUM
ejpam-4841	133	166	=	=	SYM
ejpam-4841	133	167	(	(	PUNCT
ejpam-4841	133	168	0	0	NUM
ejpam-4841	133	169	∗	∗	NOUN
ejpam-4841	133	170	1	1	NUM
ejpam-4841	133	171	)	)	PUNCT
ejpam-4841	133	172	∗	∗	NOUN
ejpam-4841	133	173	(	(	PUNCT
ejpam-4841	133	174	(	(	PUNCT
ejpam-4841	133	175	0	0	NUM
ejpam-4841	133	176	∗	∗	NOUN
ejpam-4841	133	177	1	1	NUM
ejpam-4841	133	178	)	)	PUNCT
ejpam-4841	133	179	∗	∗	NOUN
ejpam-4841	133	180	2	2	NUM
ejpam-4841	133	181	)	)	PUNCT
ejpam-4841	133	182	=	=	SYM
ejpam-4841	133	183	1	1	NUM
ejpam-4841	133	184	∗	∗	NOUN
ejpam-4841	133	185	(	(	PUNCT
ejpam-4841	133	186	1	1	NUM
ejpam-4841	133	187	∗	∗	NOUN
ejpam-4841	133	188	2	2	NUM
ejpam-4841	133	189	)	)	PUNCT
ejpam-4841	133	190	=	=	SYM
ejpam-4841	133	191	1	1	NUM
ejpam-4841	133	192	∗	∗	NOUN
ejpam-4841	133	193	3	3	NUM
ejpam-4841	133	194	=	=	SYM
ejpam-4841	133	195	2	2	NUM
ejpam-4841	133	196	the	the	DET
ejpam-4841	133	197	following	follow	VERB
ejpam-4841	133	198	lemma	lemma	PROPN
ejpam-4841	133	199	presents	present	VERB
ejpam-4841	133	200	the	the	DET
ejpam-4841	133	201	basic	basic	ADJ
ejpam-4841	133	202	properties	property	NOUN
ejpam-4841	133	203	of	of	ADP
ejpam-4841	133	204	xw	xw	PROPN
ejpam-4841	133	205	.	.	PUNCT
ejpam-4841	134	1	lemma	lemma	PROPN
ejpam-4841	134	2	3	3	X
ejpam-4841	134	3	.	.	PUNCT
ejpam-4841	135	1	let	let	VERB
ejpam-4841	135	2	x	x	PRON
ejpam-4841	135	3	,	,	PUNCT
ejpam-4841	135	4	y	y	PROPN
ejpam-4841	135	5	,	,	PUNCT
ejpam-4841	135	6	w	w	PROPN
ejpam-4841	135	7	∈	∈	PROPN
ejpam-4841	135	8	x.	x.	NOUN
ejpam-4841	136	1	then	then	ADV
ejpam-4841	136	2	the	the	DET
ejpam-4841	136	3	following	follow	VERB
ejpam-4841	136	4	properties	property	NOUN
ejpam-4841	136	5	hold	hold	VERB
ejpam-4841	136	6	:	:	PUNCT
ejpam-4841	136	7	i.	i.	NOUN
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ejpam-4841	136	9	∗	∗	PROPN
ejpam-4841	136	10	xw	xw	PROPN
ejpam-4841	136	11	=	=	SYM
ejpam-4841	136	12	(	(	PUNCT
ejpam-4841	136	13	0	0	NUM
ejpam-4841	136	14	∗	∗	NOUN
ejpam-4841	136	15	x)w	x)w	NOUN
ejpam-4841	136	16	,	,	PUNCT
ejpam-4841	136	17	j.	j.	PROPN
ejpam-4841	136	18	adanza	adanza	PROPN
ejpam-4841	136	19	/	/	SYM
ejpam-4841	136	20	eur	eur	PROPN
ejpam-4841	136	21	.	.	PUNCT
ejpam-4841	137	1	j.	j.	PROPN
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ejpam-4841	137	3	appl	appl	PROPN
ejpam-4841	137	4	.	.	PROPN
ejpam-4841	137	5	math	math	PROPN
ejpam-4841	137	6	,	,	PUNCT
ejpam-4841	137	7	16	16	NUM
ejpam-4841	137	8	(	(	PUNCT
ejpam-4841	137	9	3	3	NUM
ejpam-4841	137	10	)	)	PUNCT
ejpam-4841	137	11	(	(	PUNCT
ejpam-4841	137	12	2023	2023	NUM
ejpam-4841	137	13	)	)	PUNCT
ejpam-4841	137	14	,	,	PUNCT
ejpam-4841	137	15	1663	1663	NUM
ejpam-4841	137	16	-	-	SYM
ejpam-4841	137	17	1674	1674	NUM
ejpam-4841	137	18	1666	1666	NUM
ejpam-4841	137	19	ii	ii	NOUN
ejpam-4841	137	20	.	.	PUNCT
ejpam-4841	138	1	(	(	PUNCT
ejpam-4841	138	2	x	x	NOUN
ejpam-4841	138	3	∗	∗	NOUN
ejpam-4841	138	4	y)w	y)w	NOUN
ejpam-4841	139	1	=	=	SYM
ejpam-4841	139	2	0	0	NUM
ejpam-4841	139	3	∗	∗	NOUN
ejpam-4841	139	4	(	(	PUNCT
ejpam-4841	139	5	y	y	NOUN
ejpam-4841	139	6	∗	∗	NOUN
ejpam-4841	139	7	x)w	x)w	PUNCT
ejpam-4841	139	8	,	,	PUNCT
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ejpam-4841	139	10	.	.	PUNCT
ejpam-4841	140	1	(	(	PUNCT
ejpam-4841	140	2	0	0	NUM
ejpam-4841	140	3	∗	∗	NOUN
ejpam-4841	140	4	x)x	x)x	PUNCT
ejpam-4841	141	1	=	=	SYM
ejpam-4841	141	2	0	0	NUM
ejpam-4841	141	3	∗	∗	NOUN
ejpam-4841	141	4	x	x	SYM
ejpam-4841	141	5	,	,	PUNCT
ejpam-4841	141	6	iv	iv	X
ejpam-4841	141	7	.	.	PUNCT
ejpam-4841	141	8	xx	xx	NUM
ejpam-4841	142	1	=	=	SYM
ejpam-4841	142	2	x	x	NOUN
ejpam-4841	142	3	,	,	PUNCT
ejpam-4841	142	4	v.	v.	ADP
ejpam-4841	142	5	x0∗x	x0∗x	PUNCT
ejpam-4841	142	6	=	=	SYM
ejpam-4841	142	7	x	x	PROPN
ejpam-4841	142	8	,	,	PUNCT
ejpam-4841	142	9	vi	vi	PROPN
ejpam-4841	142	10	.	.	NOUN
ejpam-4841	142	11	x	x	SYM
ejpam-4841	143	1	∗	∗	NOUN
ejpam-4841	143	2	yx	yx	NOUN
ejpam-4841	143	3	=	=	SYM
ejpam-4841	143	4	(	(	PUNCT
ejpam-4841	143	5	0	0	NUM
ejpam-4841	143	6	∗	∗	PROPN
ejpam-4841	143	7	y	y	NOUN
ejpam-4841	143	8	)	)	PUNCT
ejpam-4841	143	9	∗	∗	NOUN
ejpam-4841	143	10	(	(	PUNCT
ejpam-4841	143	11	0	0	NUM
ejpam-4841	143	12	∗	∗	NOUN
ejpam-4841	143	13	x	x	NOUN
ejpam-4841	143	14	)	)	PUNCT
ejpam-4841	143	15	,	,	PUNCT
ejpam-4841	143	16	vii	vii	PROPN
ejpam-4841	143	17	.	.	PUNCT
ejpam-4841	143	18	xy	xy	PROPN
ejpam-4841	144	1	=	=	PUNCT
ejpam-4841	144	2	x	x	X
ejpam-4841	144	3	∗	∗	NOUN
ejpam-4841	145	1	[	[	X
ejpam-4841	145	2	y	y	NOUN
ejpam-4841	145	3	,	,	PUNCT
ejpam-4841	145	4	x	x	X
ejpam-4841	145	5	]	]	X
ejpam-4841	145	6	,	,	PUNCT
ejpam-4841	145	7	viii	viii	ADJ
ejpam-4841	145	8	.	.	PUNCT
ejpam-4841	145	9	x0∗y	x0∗y	PUNCT
ejpam-4841	146	1	=	=	SYM
ejpam-4841	146	2	y	y	PROPN
ejpam-4841	146	3	∗	∗	NOUN
ejpam-4841	146	4	(	(	PUNCT
ejpam-4841	146	5	y	y	PROPN
ejpam-4841	146	6	∗	∗	NOUN
ejpam-4841	146	7	x	x	NOUN
ejpam-4841	146	8	)	)	PUNCT
ejpam-4841	146	9	,	,	PUNCT
ejpam-4841	146	10	ix	ix	PROPN
ejpam-4841	146	11	.	.	PUNCT
ejpam-4841	147	1	[	[	X
ejpam-4841	147	2	xy	xy	X
ejpam-4841	147	3	,	,	PUNCT
ejpam-4841	147	4	0	0	NUM
ejpam-4841	147	5	∗	∗	NOUN
ejpam-4841	147	6	y	y	NOUN
ejpam-4841	147	7	]	]	X
ejpam-4841	148	1	=	=	PUNCT
ejpam-4841	149	1	[	[	X
ejpam-4841	149	2	y	y	PROPN
ejpam-4841	149	3	,	,	PUNCT
ejpam-4841	149	4	x	x	NOUN
ejpam-4841	149	5	]	]	X
ejpam-4841	149	6	.	.	PUNCT
ejpam-4841	150	1	proof	proof	NOUN
ejpam-4841	150	2	.	.	PUNCT
ejpam-4841	151	1	let	let	VERB
ejpam-4841	151	2	x	x	PRON
ejpam-4841	151	3	,	,	PUNCT
ejpam-4841	151	4	y	y	PROPN
ejpam-4841	151	5	,	,	PUNCT
ejpam-4841	151	6	w	w	PROPN
ejpam-4841	151	7	∈	∈	PROPN
ejpam-4841	151	8	x.	x.	NOUN
ejpam-4841	151	9	i.	i.	PROPN
ejpam-4841	151	10	by	by	ADP
ejpam-4841	151	11	(	(	PUNCT
ejpam-4841	151	12	p2	p2	PROPN
ejpam-4841	151	13	)	)	PUNCT
ejpam-4841	151	14	and	and	CCONJ
ejpam-4841	151	15	(	(	PUNCT
ejpam-4841	151	16	iii	iii	NOUN
ejpam-4841	151	17	)	)	PUNCT
ejpam-4841	151	18	,	,	PUNCT
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ejpam-4841	151	21	0	0	NUM
ejpam-4841	151	22	∗	∗	NOUN
ejpam-4841	151	23	xw	xw	NOUN
ejpam-4841	152	1	=	=	SYM
ejpam-4841	152	2	0	0	NUM
ejpam-4841	152	3	∗	∗	NOUN
ejpam-4841	152	4	(	(	PUNCT
ejpam-4841	152	5	(	(	PUNCT
ejpam-4841	152	6	0	0	NUM
ejpam-4841	152	7	∗	∗	PROPN
ejpam-4841	152	8	w	w	NOUN
ejpam-4841	152	9	)	)	PUNCT
ejpam-4841	152	10	∗	∗	NOUN
ejpam-4841	152	11	(	(	PUNCT
ejpam-4841	152	12	(	(	PUNCT
ejpam-4841	152	13	0	0	NUM
ejpam-4841	152	14	∗	∗	PROPN
ejpam-4841	152	15	w	w	PROPN
ejpam-4841	152	16	)	)	PUNCT
ejpam-4841	152	17	∗	∗	NOUN
ejpam-4841	152	18	x	x	NOUN
ejpam-4841	152	19	)	)	PUNCT
ejpam-4841	152	20	)	)	PUNCT
ejpam-4841	153	1	=	=	SYM
ejpam-4841	153	2	(	(	PUNCT
ejpam-4841	153	3	(	(	PUNCT
ejpam-4841	153	4	0	0	NUM
ejpam-4841	153	5	∗	∗	PROPN
ejpam-4841	153	6	w	w	PROPN
ejpam-4841	153	7	)	)	PUNCT
ejpam-4841	153	8	∗	∗	NOUN
ejpam-4841	153	9	x	x	NOUN
ejpam-4841	153	10	)	)	PUNCT
ejpam-4841	153	11	∗	∗	NOUN
ejpam-4841	153	12	(	(	PUNCT
ejpam-4841	153	13	0	0	NUM
ejpam-4841	153	14	∗	∗	PROPN
ejpam-4841	153	15	w	w	NOUN
ejpam-4841	153	16	)	)	PUNCT
ejpam-4841	153	17	=	=	SYM
ejpam-4841	153	18	(	(	PUNCT
ejpam-4841	153	19	0	0	NUM
ejpam-4841	153	20	∗	∗	PROPN
ejpam-4841	153	21	w	w	NOUN
ejpam-4841	153	22	)	)	PUNCT
ejpam-4841	153	23	∗	∗	NOUN
ejpam-4841	153	24	(	(	PUNCT
ejpam-4841	153	25	(	(	PUNCT
ejpam-4841	153	26	0	0	NUM
ejpam-4841	153	27	∗	∗	PROPN
ejpam-4841	153	28	w	w	NOUN
ejpam-4841	153	29	)	)	PUNCT
ejpam-4841	153	30	∗	∗	NOUN
ejpam-4841	153	31	(	(	PUNCT
ejpam-4841	153	32	0	0	NUM
ejpam-4841	153	33	∗	∗	NOUN
ejpam-4841	153	34	x	x	NOUN
ejpam-4841	153	35	)	)	PUNCT
ejpam-4841	153	36	)	)	PUNCT
ejpam-4841	154	1	=	=	SYM
ejpam-4841	154	2	(	(	PUNCT
ejpam-4841	154	3	0	0	NUM
ejpam-4841	154	4	∗	∗	NOUN
ejpam-4841	154	5	x)w	x)w	NOUN
ejpam-4841	154	6	.	.	PUNCT
ejpam-4841	155	1	ii	ii	PROPN
ejpam-4841	155	2	.	.	PUNCT
ejpam-4841	156	1	by	by	ADP
ejpam-4841	156	2	(	(	PUNCT
ejpam-4841	156	3	i	i	NOUN
ejpam-4841	156	4	)	)	PUNCT
ejpam-4841	156	5	,	,	PUNCT
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ejpam-4841	156	7	have	have	VERB
ejpam-4841	156	8	(	(	PUNCT
ejpam-4841	156	9	x	x	NOUN
ejpam-4841	156	10	∗	∗	NOUN
ejpam-4841	156	11	y)w	y)w	NOUN
ejpam-4841	157	1	=	=	SYM
ejpam-4841	157	2	(	(	PUNCT
ejpam-4841	157	3	0	0	NUM
ejpam-4841	157	4	∗	∗	NOUN
ejpam-4841	157	5	(	(	PUNCT
ejpam-4841	157	6	y	y	PROPN
ejpam-4841	157	7	∗	∗	X
ejpam-4841	157	8	x))w	x))w	PROPN
ejpam-4841	158	1	=	=	SYM
ejpam-4841	158	2	0	0	NUM
ejpam-4841	158	3	∗	∗	NOUN
ejpam-4841	158	4	(	(	PUNCT
ejpam-4841	158	5	y	y	NOUN
ejpam-4841	158	6	∗	∗	NOUN
ejpam-4841	158	7	x)w	x)w	PUNCT
ejpam-4841	158	8	.	.	PUNCT
ejpam-4841	159	1	iii	iii	X
ejpam-4841	159	2	.	.	PUNCT
ejpam-4841	160	1	by	by	ADP
ejpam-4841	160	2	(	(	PUNCT
ejpam-4841	160	3	i	i	NOUN
ejpam-4841	160	4	)	)	PUNCT
ejpam-4841	160	5	and	and	CCONJ
ejpam-4841	160	6	(	(	PUNCT
ejpam-4841	160	7	ii	ii	NOUN
ejpam-4841	160	8	)	)	PUNCT
ejpam-4841	160	9	,	,	PUNCT
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ejpam-4841	160	12	(	(	PUNCT
ejpam-4841	160	13	0	0	NUM
ejpam-4841	160	14	∗	∗	NOUN
ejpam-4841	160	15	x)x	x)x	PUNCT
ejpam-4841	161	1	=	=	PUNCT
ejpam-4841	161	2	(	(	PUNCT
ejpam-4841	161	3	0	0	NUM
ejpam-4841	161	4	∗	∗	NOUN
ejpam-4841	161	5	x	x	NOUN
ejpam-4841	161	6	)	)	PUNCT
ejpam-4841	161	7	∗	∗	NOUN
ejpam-4841	161	8	(	(	PUNCT
ejpam-4841	161	9	(	(	PUNCT
ejpam-4841	161	10	0	0	NUM
ejpam-4841	161	11	∗	∗	NOUN
ejpam-4841	161	12	x	x	NOUN
ejpam-4841	161	13	)	)	PUNCT
ejpam-4841	161	14	∗	∗	NOUN
ejpam-4841	161	15	(	(	PUNCT
ejpam-4841	161	16	0	0	NUM
ejpam-4841	161	17	∗	∗	NOUN
ejpam-4841	161	18	x	x	NOUN
ejpam-4841	161	19	)	)	PUNCT
ejpam-4841	161	20	)	)	PUNCT
ejpam-4841	162	1	=	=	SYM
ejpam-4841	162	2	(	(	PUNCT
ejpam-4841	162	3	0	0	NUM
ejpam-4841	162	4	∗	∗	NOUN
ejpam-4841	162	5	x	x	NOUN
ejpam-4841	162	6	)	)	PUNCT
ejpam-4841	162	7	∗	∗	NOUN
ejpam-4841	162	8	0	0	NUM
ejpam-4841	163	1	=	=	SYM
ejpam-4841	163	2	0	0	NUM
ejpam-4841	163	3	∗	∗	NOUN
ejpam-4841	163	4	x.	x.	NOUN
ejpam-4841	163	5	iv	iv	PROPN
ejpam-4841	163	6	.	.	PUNCT
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ejpam-4841	164	2	p3	p3	PROPN
ejpam-4841	164	3	,	,	PUNCT
ejpam-4841	164	4	(	(	PUNCT
ejpam-4841	164	5	i	i	NOUN
ejpam-4841	164	6	)	)	PUNCT
ejpam-4841	164	7	,	,	PUNCT
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ejpam-4841	164	9	p1	p1	NOUN
ejpam-4841	164	10	,	,	PUNCT
ejpam-4841	164	11	we	we	PRON
ejpam-4841	164	12	have	have	VERB
ejpam-4841	164	13	xx	xx	NUM
ejpam-4841	164	14	=	=	SYM
ejpam-4841	164	15	(	(	PUNCT
ejpam-4841	164	16	0	0	NUM
ejpam-4841	164	17	∗	∗	NOUN
ejpam-4841	164	18	x	x	NOUN
ejpam-4841	164	19	)	)	PUNCT
ejpam-4841	164	20	∗	∗	NOUN
ejpam-4841	164	21	(	(	PUNCT
ejpam-4841	164	22	(	(	PUNCT
ejpam-4841	164	23	0	0	NUM
ejpam-4841	164	24	∗	∗	NOUN
ejpam-4841	164	25	x	x	NOUN
ejpam-4841	164	26	)	)	PUNCT
ejpam-4841	164	27	∗	∗	NOUN
ejpam-4841	164	28	x	x	NOUN
ejpam-4841	164	29	)	)	PUNCT
ejpam-4841	164	30	=	=	SYM
ejpam-4841	164	31	(	(	PUNCT
ejpam-4841	164	32	(	(	PUNCT
ejpam-4841	164	33	0	0	NUM
ejpam-4841	164	34	∗	∗	NOUN
ejpam-4841	164	35	x	x	NOUN
ejpam-4841	164	36	)	)	PUNCT
ejpam-4841	164	37	∗	∗	NOUN
ejpam-4841	164	38	(	(	PUNCT
ejpam-4841	164	39	0	0	NUM
ejpam-4841	164	40	∗	∗	NOUN
ejpam-4841	164	41	x	x	NOUN
ejpam-4841	164	42	)	)	PUNCT
ejpam-4841	164	43	)	)	PUNCT
ejpam-4841	164	44	∗	∗	NOUN
ejpam-4841	164	45	(	(	PUNCT
ejpam-4841	164	46	0	0	NUM
ejpam-4841	164	47	∗	∗	NOUN
ejpam-4841	164	48	x	x	NOUN
ejpam-4841	164	49	)	)	PUNCT
ejpam-4841	164	50	=	=	SYM
ejpam-4841	164	51	0	0	NUM
ejpam-4841	164	52	∗	∗	NOUN
ejpam-4841	164	53	(	(	PUNCT
ejpam-4841	164	54	0	0	NUM
ejpam-4841	164	55	∗	∗	NOUN
ejpam-4841	164	56	x	x	NOUN
ejpam-4841	164	57	)	)	PUNCT
ejpam-4841	164	58	=	=	SYM
ejpam-4841	165	1	x.	x.	NOUN
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ejpam-4841	165	4	p1	p1	PROPN
ejpam-4841	165	5	,	,	PUNCT
ejpam-4841	165	6	(	(	PUNCT
ejpam-4841	165	7	i	i	NOUN
ejpam-4841	165	8	)	)	PUNCT
ejpam-4841	165	9	,	,	PUNCT
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ejpam-4841	165	11	(	(	PUNCT
ejpam-4841	165	12	ii	ii	NOUN
ejpam-4841	165	13	)	)	PUNCT
ejpam-4841	165	14	,	,	PUNCT
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ejpam-4841	165	17	x0∗x	x0∗x	PUNCT
ejpam-4841	165	18	=	=	SYM
ejpam-4841	165	19	(	(	PUNCT
ejpam-4841	165	20	0	0	NUM
ejpam-4841	165	21	∗	∗	NOUN
ejpam-4841	165	22	(	(	PUNCT
ejpam-4841	165	23	0	0	NUM
ejpam-4841	165	24	∗	∗	NOUN
ejpam-4841	165	25	x	x	NOUN
ejpam-4841	165	26	)	)	PUNCT
ejpam-4841	165	27	)	)	PUNCT
ejpam-4841	165	28	∗	∗	NOUN
ejpam-4841	165	29	(	(	PUNCT
ejpam-4841	165	30	(	(	PUNCT
ejpam-4841	165	31	0	0	NUM
ejpam-4841	165	32	∗	∗	NOUN
ejpam-4841	165	33	(	(	PUNCT
ejpam-4841	165	34	0	0	NUM
ejpam-4841	165	35	∗	∗	NOUN
ejpam-4841	165	36	x	x	NOUN
ejpam-4841	165	37	)	)	PUNCT
ejpam-4841	165	38	)	)	PUNCT
ejpam-4841	165	39	∗	∗	NOUN
ejpam-4841	165	40	x	x	NOUN
ejpam-4841	165	41	)	)	PUNCT
ejpam-4841	165	42	=	=	SYM
ejpam-4841	166	1	x	x	X
ejpam-4841	166	2	∗	∗	NOUN
ejpam-4841	166	3	(	(	PUNCT
ejpam-4841	166	4	x	x	X
ejpam-4841	166	5	∗	∗	NOUN
ejpam-4841	166	6	x	x	NOUN
ejpam-4841	166	7	)	)	PUNCT
ejpam-4841	166	8	=	=	PUNCT
ejpam-4841	167	1	x	x	X
ejpam-4841	167	2	∗	∗	NOUN
ejpam-4841	167	3	0	0	NUM
ejpam-4841	168	1	=	=	SYM
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ejpam-4841	168	5	/	/	SYM
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ejpam-4841	168	7	.	.	PUNCT
ejpam-4841	169	1	j.	j.	PROPN
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ejpam-4841	169	6	,	,	PUNCT
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ejpam-4841	169	8	(	(	PUNCT
ejpam-4841	169	9	3	3	NUM
ejpam-4841	169	10	)	)	PUNCT
ejpam-4841	169	11	(	(	PUNCT
ejpam-4841	169	12	2023	2023	NUM
ejpam-4841	169	13	)	)	PUNCT
ejpam-4841	169	14	,	,	PUNCT
ejpam-4841	169	15	1663	1663	NUM
ejpam-4841	169	16	-	-	SYM
ejpam-4841	169	17	1674	1674	NUM
ejpam-4841	169	18	1667	1667	NUM
ejpam-4841	169	19	vi	vi	NOUN
ejpam-4841	169	20	.	.	PROPN
ejpam-4841	169	21	by	by	ADP
ejpam-4841	169	22	p3	p3	PROPN
ejpam-4841	169	23	,	,	PUNCT
ejpam-4841	169	24	p2	p2	NOUN
ejpam-4841	169	25	,	,	PUNCT
ejpam-4841	169	26	(	(	PUNCT
ejpam-4841	169	27	iii	iii	NOUN
ejpam-4841	169	28	)	)	PUNCT
ejpam-4841	169	29	,	,	PUNCT
ejpam-4841	169	30	and	and	CCONJ
ejpam-4841	169	31	(	(	PUNCT
ejpam-4841	169	32	i	i	NOUN
ejpam-4841	169	33	)	)	PUNCT
ejpam-4841	169	34	,	,	PUNCT
ejpam-4841	169	35	we	we	PRON
ejpam-4841	169	36	have	have	VERB
ejpam-4841	169	37	x	x	NOUN
ejpam-4841	169	38	∗	∗	NOUN
ejpam-4841	169	39	yx	yx	NOUN
ejpam-4841	170	1	=	=	PUNCT
ejpam-4841	170	2	x	x	SYM
ejpam-4841	170	3	∗	∗	NOUN
ejpam-4841	170	4	(	(	PUNCT
ejpam-4841	170	5	(	(	PUNCT
ejpam-4841	170	6	0	0	NUM
ejpam-4841	170	7	∗	∗	NOUN
ejpam-4841	170	8	x	x	NOUN
ejpam-4841	170	9	)	)	PUNCT
ejpam-4841	170	10	∗	∗	NOUN
ejpam-4841	170	11	(	(	PUNCT
ejpam-4841	170	12	(	(	PUNCT
ejpam-4841	170	13	0	0	NUM
ejpam-4841	170	14	∗	∗	NOUN
ejpam-4841	170	15	x	x	NOUN
ejpam-4841	170	16	)	)	PUNCT
ejpam-4841	170	17	∗	∗	PROPN
ejpam-4841	170	18	y	y	NOUN
ejpam-4841	170	19	)	)	PUNCT
ejpam-4841	170	20	)	)	PUNCT
ejpam-4841	171	1	=	=	PRON
ejpam-4841	171	2	(	(	PUNCT
ejpam-4841	171	3	x	x	SYM
ejpam-4841	171	4	∗	∗	NOUN
ejpam-4841	171	5	(	(	PUNCT
ejpam-4841	171	6	0	0	NUM
ejpam-4841	171	7	∗	∗	NOUN
ejpam-4841	171	8	(	(	PUNCT
ejpam-4841	171	9	(	(	PUNCT
ejpam-4841	171	10	0	0	NUM
ejpam-4841	171	11	∗	∗	NOUN
ejpam-4841	171	12	x	x	NOUN
ejpam-4841	171	13	)	)	PUNCT
ejpam-4841	171	14	∗	∗	PROPN
ejpam-4841	171	15	y	y	PROPN
ejpam-4841	171	16	)	)	PUNCT
ejpam-4841	171	17	)	)	PUNCT
ejpam-4841	171	18	)	)	PUNCT
ejpam-4841	171	19	∗	∗	NOUN
ejpam-4841	171	20	(	(	PUNCT
ejpam-4841	171	21	0	0	NUM
ejpam-4841	171	22	∗	∗	NOUN
ejpam-4841	171	23	x	x	NOUN
ejpam-4841	171	24	)	)	PUNCT
ejpam-4841	171	25	=	=	SYM
ejpam-4841	172	1	(	(	PUNCT
ejpam-4841	172	2	x	x	SYM
ejpam-4841	172	3	∗	∗	NOUN
ejpam-4841	172	4	(	(	PUNCT
ejpam-4841	172	5	y	y	PROPN
ejpam-4841	172	6	∗	∗	NOUN
ejpam-4841	172	7	(	(	PUNCT
ejpam-4841	172	8	0	0	NUM
ejpam-4841	172	9	∗	∗	NOUN
ejpam-4841	172	10	x	x	NOUN
ejpam-4841	172	11	)	)	PUNCT
ejpam-4841	172	12	)	)	PUNCT
ejpam-4841	172	13	)	)	PUNCT
ejpam-4841	173	1	∗	∗	NOUN
ejpam-4841	173	2	(	(	PUNCT
ejpam-4841	173	3	0	0	NUM
ejpam-4841	173	4	∗	∗	NOUN
ejpam-4841	173	5	x	x	NOUN
ejpam-4841	173	6	)	)	PUNCT
ejpam-4841	173	7	=	=	SYM
ejpam-4841	173	8	(	(	PUNCT
ejpam-4841	173	9	(	(	PUNCT
ejpam-4841	173	10	x	x	NOUN
ejpam-4841	173	11	∗	∗	NOUN
ejpam-4841	173	12	x	x	NOUN
ejpam-4841	173	13	)	)	PUNCT
ejpam-4841	173	14	∗	∗	PROPN
ejpam-4841	173	15	b	b	NOUN
ejpam-4841	173	16	)	)	PUNCT
ejpam-4841	173	17	∗	∗	NOUN
ejpam-4841	173	18	(	(	PUNCT
ejpam-4841	173	19	0	0	NUM
ejpam-4841	173	20	∗	∗	NOUN
ejpam-4841	173	21	x	x	NOUN
ejpam-4841	173	22	)	)	PUNCT
ejpam-4841	173	23	=	=	SYM
ejpam-4841	173	24	(	(	PUNCT
ejpam-4841	173	25	0	0	NUM
ejpam-4841	173	26	∗	∗	PROPN
ejpam-4841	173	27	y	y	NOUN
ejpam-4841	173	28	)	)	PUNCT
ejpam-4841	173	29	∗	∗	NOUN
ejpam-4841	173	30	(	(	PUNCT
ejpam-4841	173	31	0	0	NUM
ejpam-4841	173	32	∗	∗	NOUN
ejpam-4841	173	33	x	x	NOUN
ejpam-4841	173	34	)	)	PUNCT
ejpam-4841	173	35	.	.	PUNCT
ejpam-4841	174	1	vii	vii	PROPN
ejpam-4841	174	2	.	.	PROPN
ejpam-4841	175	1	by	by	ADP
ejpam-4841	175	2	p3	p3	PROPN
ejpam-4841	175	3	,	,	PUNCT
ejpam-4841	175	4	p2	p2	NOUN
ejpam-4841	175	5	,	,	PUNCT
ejpam-4841	175	6	(	(	PUNCT
ejpam-4841	175	7	iii	iii	NOUN
ejpam-4841	175	8	)	)	PUNCT
ejpam-4841	175	9	,	,	PUNCT
ejpam-4841	175	10	and	and	CCONJ
ejpam-4841	175	11	(	(	PUNCT
ejpam-4841	175	12	i	i	NOUN
ejpam-4841	175	13	)	)	PUNCT
ejpam-4841	175	14	,	,	PUNCT
ejpam-4841	175	15	we	we	PRON
ejpam-4841	175	16	have	have	VERB
ejpam-4841	175	17	x	x	X
ejpam-4841	175	18	∗	∗	NOUN
ejpam-4841	175	19	[	[	X
ejpam-4841	175	20	y	y	NOUN
ejpam-4841	175	21	,	,	PUNCT
ejpam-4841	175	22	x	x	X
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ejpam-4841	175	24	=	=	PUNCT
ejpam-4841	175	25	x	x	SYM
ejpam-4841	175	26	∗	∗	NOUN
ejpam-4841	175	27	(	(	PUNCT
ejpam-4841	175	28	(	(	PUNCT
ejpam-4841	175	29	(	(	PUNCT
ejpam-4841	175	30	0	0	NUM
ejpam-4841	175	31	∗	∗	NUM
ejpam-4841	175	32	y	y	NOUN
ejpam-4841	175	33	)	)	PUNCT
ejpam-4841	175	34	∗	∗	NOUN
ejpam-4841	175	35	x	x	NOUN
ejpam-4841	175	36	)	)	PUNCT
ejpam-4841	175	37	∗	∗	NOUN
ejpam-4841	175	38	(	(	PUNCT
ejpam-4841	175	39	(	(	PUNCT
ejpam-4841	175	40	0	0	NUM
ejpam-4841	175	41	∗	∗	NOUN
ejpam-4841	175	42	x	x	NOUN
ejpam-4841	175	43	)	)	PUNCT
ejpam-4841	175	44	∗	∗	PROPN
ejpam-4841	175	45	y	y	NOUN
ejpam-4841	175	46	)	)	PUNCT
ejpam-4841	175	47	)	)	PUNCT
ejpam-4841	176	1	=	=	PRON
ejpam-4841	176	2	(	(	PUNCT
ejpam-4841	176	3	x	x	SYM
ejpam-4841	176	4	∗	∗	NOUN
ejpam-4841	176	5	(	(	PUNCT
ejpam-4841	176	6	0	0	NUM
ejpam-4841	176	7	∗	∗	NOUN
ejpam-4841	176	8	(	(	PUNCT
ejpam-4841	176	9	(	(	PUNCT
ejpam-4841	176	10	0	0	NUM
ejpam-4841	176	11	∗	∗	NOUN
ejpam-4841	176	12	x	x	NOUN
ejpam-4841	176	13	)	)	PUNCT
ejpam-4841	176	14	∗	∗	PROPN
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ejpam-4841	176	16	)	)	PUNCT
ejpam-4841	176	17	)	)	PUNCT
ejpam-4841	176	18	)	)	PUNCT
ejpam-4841	176	19	∗	∗	NOUN
ejpam-4841	176	20	(	(	PUNCT
ejpam-4841	176	21	(	(	PUNCT
ejpam-4841	176	22	0	0	NUM
ejpam-4841	176	23	∗	∗	NUM
ejpam-4841	176	24	y	y	NOUN
ejpam-4841	176	25	)	)	PUNCT
ejpam-4841	176	26	∗	∗	NOUN
ejpam-4841	176	27	x	x	NOUN
ejpam-4841	176	28	)	)	PUNCT
ejpam-4841	176	29	=	=	SYM
ejpam-4841	177	1	(	(	PUNCT
ejpam-4841	177	2	x	x	SYM
ejpam-4841	177	3	∗	∗	NOUN
ejpam-4841	177	4	(	(	PUNCT
ejpam-4841	177	5	y	y	PROPN
ejpam-4841	177	6	∗	∗	NOUN
ejpam-4841	177	7	(	(	PUNCT
ejpam-4841	177	8	0	0	NUM
ejpam-4841	177	9	∗	∗	NOUN
ejpam-4841	177	10	x	x	NOUN
ejpam-4841	177	11	)	)	PUNCT
ejpam-4841	177	12	)	)	PUNCT
ejpam-4841	177	13	)	)	PUNCT
ejpam-4841	177	14	∗	∗	NOUN
ejpam-4841	177	15	(	(	PUNCT
ejpam-4841	177	16	(	(	PUNCT
ejpam-4841	177	17	0	0	NUM
ejpam-4841	177	18	∗	∗	NUM
ejpam-4841	177	19	y	y	NOUN
ejpam-4841	177	20	)	)	PUNCT
ejpam-4841	177	21	∗	∗	NOUN
ejpam-4841	177	22	x	x	NOUN
ejpam-4841	177	23	)	)	PUNCT
ejpam-4841	177	24	=	=	SYM
ejpam-4841	177	25	(	(	PUNCT
ejpam-4841	177	26	(	(	PUNCT
ejpam-4841	177	27	x	x	NOUN
ejpam-4841	177	28	∗	∗	NOUN
ejpam-4841	177	29	x	x	NOUN
ejpam-4841	177	30	)	)	PUNCT
ejpam-4841	177	31	∗	∗	PROPN
ejpam-4841	177	32	y	y	NOUN
ejpam-4841	177	33	)	)	PUNCT
ejpam-4841	177	34	∗	∗	NOUN
ejpam-4841	177	35	(	(	PUNCT
ejpam-4841	177	36	(	(	PUNCT
ejpam-4841	177	37	0	0	NUM
ejpam-4841	177	38	∗	∗	NUM
ejpam-4841	177	39	y	y	NOUN
ejpam-4841	177	40	)	)	PUNCT
ejpam-4841	177	41	∗	∗	NOUN
ejpam-4841	177	42	x	x	NOUN
ejpam-4841	177	43	)	)	PUNCT
ejpam-4841	177	44	=	=	SYM
ejpam-4841	177	45	(	(	PUNCT
ejpam-4841	177	46	0	0	NUM
ejpam-4841	177	47	∗	∗	PROPN
ejpam-4841	177	48	y	y	NOUN
ejpam-4841	177	49	)	)	PUNCT
ejpam-4841	177	50	∗	∗	NOUN
ejpam-4841	177	51	(	(	PUNCT
ejpam-4841	177	52	(	(	PUNCT
ejpam-4841	177	53	0	0	NUM
ejpam-4841	177	54	∗	∗	NUM
ejpam-4841	177	55	y	y	NOUN
ejpam-4841	177	56	)	)	PUNCT
ejpam-4841	177	57	∗	∗	NOUN
ejpam-4841	177	58	x	x	NOUN
ejpam-4841	177	59	)	)	PUNCT
ejpam-4841	177	60	=	=	SYM
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ejpam-4841	178	2	.	.	PUNCT
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ejpam-4841	179	2	.	.	PUNCT
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ejpam-4841	180	4	p1	p1	PROPN
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ejpam-4841	182	2	p1	p1	PROPN
ejpam-4841	182	3	,	,	PUNCT
ejpam-4841	182	4	(	(	PUNCT
ejpam-4841	182	5	vi	vi	NOUN
ejpam-4841	182	6	)	)	PUNCT
ejpam-4841	182	7	,	,	PUNCT
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ejpam-4841	182	9	,	,	PUNCT
ejpam-4841	182	10	(	(	PUNCT
ejpam-4841	182	11	vii	vii	PROPN
ejpam-4841	182	12	)	)	PUNCT
ejpam-4841	182	13	,	,	PUNCT
ejpam-4841	182	14	p2	p2	NOUN
ejpam-4841	182	15	,	,	PUNCT
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ejpam-4841	182	17	(	(	PUNCT
ejpam-4841	182	18	ii	ii	NOUN
ejpam-4841	182	19	)	)	PUNCT
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ejpam-4841	182	23	[	[	X
ejpam-4841	182	24	xy	xy	NOUN
ejpam-4841	182	25	,	,	PUNCT
ejpam-4841	182	26	0	0	NUM
ejpam-4841	182	27	∗	∗	NOUN
ejpam-4841	182	28	y	y	PROPN
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ejpam-4841	183	1	=	=	SYM
ejpam-4841	183	2	(	(	PUNCT
ejpam-4841	183	3	(	(	PUNCT
ejpam-4841	183	4	0	0	NUM
ejpam-4841	183	5	∗	∗	NOUN
ejpam-4841	183	6	xy	xy	NOUN
ejpam-4841	183	7	)	)	PUNCT
ejpam-4841	183	8	∗	∗	NOUN
ejpam-4841	183	9	(	(	PUNCT
ejpam-4841	183	10	0	0	NUM
ejpam-4841	183	11	∗	∗	PROPN
ejpam-4841	183	12	y	y	PROPN
ejpam-4841	183	13	)	)	PUNCT
ejpam-4841	183	14	)	)	PUNCT
ejpam-4841	183	15	∗	∗	NOUN
ejpam-4841	183	16	(	(	PUNCT
ejpam-4841	183	17	(	(	PUNCT
ejpam-4841	183	18	0	0	NUM
ejpam-4841	183	19	∗	∗	NOUN
ejpam-4841	183	20	(	(	PUNCT
ejpam-4841	183	21	0	0	NUM
ejpam-4841	183	22	∗	∗	PROPN
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ejpam-4841	183	24	)	)	PUNCT
ejpam-4841	183	25	)	)	PUNCT
ejpam-4841	183	26	∗	∗	NOUN
ejpam-4841	183	27	xy	xy	PROPN
ejpam-4841	183	28	)	)	PUNCT
ejpam-4841	183	29	=	=	PRON
ejpam-4841	183	30	(	(	PUNCT
ejpam-4841	183	31	(	(	PUNCT
ejpam-4841	183	32	0	0	NUM
ejpam-4841	183	33	∗	∗	NOUN
ejpam-4841	183	34	xy	xy	NOUN
ejpam-4841	183	35	)	)	PUNCT
ejpam-4841	183	36	∗	∗	NOUN
ejpam-4841	183	37	(	(	PUNCT
ejpam-4841	183	38	0	0	NUM
ejpam-4841	183	39	∗	∗	PROPN
ejpam-4841	183	40	y	y	PROPN
ejpam-4841	183	41	)	)	PUNCT
ejpam-4841	183	42	)	)	PUNCT
ejpam-4841	183	43	∗	∗	NOUN
ejpam-4841	183	44	(	(	PUNCT
ejpam-4841	183	45	y	y	PROPN
ejpam-4841	183	46	∗	∗	NOUN
ejpam-4841	183	47	xy	xy	PROPN
ejpam-4841	183	48	)	)	PUNCT
ejpam-4841	183	49	=	=	PRON
ejpam-4841	183	50	(	(	PUNCT
ejpam-4841	183	51	(	(	PUNCT
ejpam-4841	183	52	0	0	NUM
ejpam-4841	183	53	∗	∗	NOUN
ejpam-4841	183	54	xy	xy	NOUN
ejpam-4841	183	55	)	)	PUNCT
ejpam-4841	183	56	∗	∗	NOUN
ejpam-4841	183	57	(	(	PUNCT
ejpam-4841	183	58	0	0	NUM
ejpam-4841	183	59	∗	∗	PROPN
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ejpam-4841	183	64	(	(	PUNCT
ejpam-4841	183	65	(	(	PUNCT
ejpam-4841	183	66	0	0	NUM
ejpam-4841	183	67	∗	∗	NOUN
ejpam-4841	183	68	x	x	NOUN
ejpam-4841	183	69	)	)	PUNCT
ejpam-4841	183	70	∗	∗	NOUN
ejpam-4841	183	71	(	(	PUNCT
ejpam-4841	183	72	0	0	NUM
ejpam-4841	183	73	∗	∗	PROPN
ejpam-4841	183	74	y	y	NOUN
ejpam-4841	183	75	)	)	PUNCT
ejpam-4841	183	76	)	)	PUNCT
ejpam-4841	184	1	=	=	PUNCT
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ejpam-4841	184	3	0	0	NUM
ejpam-4841	184	4	∗	∗	NOUN
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ejpam-4841	184	6	)	)	PUNCT
ejpam-4841	184	7	∗	∗	NOUN
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ejpam-4841	184	9	0	0	NUM
ejpam-4841	184	10	∗	∗	NOUN
ejpam-4841	184	11	x	x	NOUN
ejpam-4841	184	12	)	)	PUNCT
ejpam-4841	184	13	=	=	SYM
ejpam-4841	184	14	(	(	PUNCT
ejpam-4841	184	15	0	0	NUM
ejpam-4841	184	16	∗	∗	NOUN
ejpam-4841	184	17	(	(	PUNCT
ejpam-4841	184	18	x	x	X
ejpam-4841	184	19	∗	∗	NOUN
ejpam-4841	184	20	[	[	X
ejpam-4841	184	21	y	y	NOUN
ejpam-4841	184	22	,	,	PUNCT
ejpam-4841	184	23	x	x	NOUN
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ejpam-4841	184	25	)	)	PUNCT
ejpam-4841	184	26	)	)	PUNCT
ejpam-4841	185	1	∗	∗	NOUN
ejpam-4841	185	2	(	(	PUNCT
ejpam-4841	185	3	0	0	NUM
ejpam-4841	185	4	∗	∗	NOUN
ejpam-4841	185	5	x	x	NOUN
ejpam-4841	185	6	)	)	PUNCT
ejpam-4841	185	7	=	=	SYM
ejpam-4841	185	8	(	(	PUNCT
ejpam-4841	185	9	[	[	X
ejpam-4841	185	10	y	y	NOUN
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ejpam-4841	185	12	x	x	X
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ejpam-4841	185	14	∗	∗	NOUN
ejpam-4841	185	15	x	x	NOUN
ejpam-4841	185	16	)	)	PUNCT
ejpam-4841	185	17	∗	∗	NOUN
ejpam-4841	185	18	(	(	PUNCT
ejpam-4841	185	19	0	0	NUM
ejpam-4841	185	20	∗	∗	NOUN
ejpam-4841	185	21	x	x	NOUN
ejpam-4841	185	22	)	)	PUNCT
ejpam-4841	185	23	=	=	PUNCT
ejpam-4841	186	1	[	[	X
ejpam-4841	186	2	y	y	NOUN
ejpam-4841	186	3	,	,	PUNCT
ejpam-4841	186	4	x	x	X
ejpam-4841	186	5	]	]	X
ejpam-4841	186	6	∗	∗	NOUN
ejpam-4841	186	7	0	0	NUM
ejpam-4841	187	1	=	=	PUNCT
ejpam-4841	188	1	[	[	X
ejpam-4841	188	2	y	y	PROPN
ejpam-4841	188	3	,	,	PUNCT
ejpam-4841	188	4	x	x	NOUN
ejpam-4841	188	5	]	]	X
ejpam-4841	188	6	.	.	PUNCT
ejpam-4841	189	1	the	the	DET
ejpam-4841	189	2	following	follow	VERB
ejpam-4841	189	3	lemma	lemma	PROPN
ejpam-4841	189	4	is	be	AUX
ejpam-4841	189	5	used	use	VERB
ejpam-4841	189	6	to	to	PART
ejpam-4841	189	7	prove	prove	VERB
ejpam-4841	189	8	the	the	DET
ejpam-4841	189	9	succeeding	succeed	VERB
ejpam-4841	189	10	theorems	theorem	NOUN
ejpam-4841	189	11	.	.	PUNCT
ejpam-4841	190	1	lemma	lemma	PROPN
ejpam-4841	190	2	4	4	X
ejpam-4841	190	3	.	.	PUNCT
ejpam-4841	191	1	let	let	VERB
ejpam-4841	191	2	a	a	DET
ejpam-4841	191	3	,	,	PUNCT
ejpam-4841	191	4	b	b	NOUN
ejpam-4841	192	1	,	,	PUNCT
ejpam-4841	192	2	c	c	PROPN
ejpam-4841	192	3	∈	∈	PROPN
ejpam-4841	192	4	x.	x.	NOUN
ejpam-4841	192	5	then	then	ADV
ejpam-4841	192	6	the	the	DET
ejpam-4841	192	7	following	follow	VERB
ejpam-4841	192	8	properties	property	NOUN
ejpam-4841	192	9	hold	hold	VERB
ejpam-4841	192	10	:	:	PUNCT
ejpam-4841	192	11	i.	i.	NOUN
ejpam-4841	192	12	(	(	PUNCT
ejpam-4841	192	13	(	(	PUNCT
ejpam-4841	192	14	a	a	DET
ejpam-4841	192	15	∗	∗	NOUN
ejpam-4841	192	16	b	b	NOUN
ejpam-4841	192	17	)	)	PUNCT
ejpam-4841	192	18	∗	∗	NOUN
ejpam-4841	192	19	a	a	PRON
ejpam-4841	192	20	)	)	PUNCT
ejpam-4841	192	21	∗	∗	NOUN
ejpam-4841	192	22	(	(	PUNCT
ejpam-4841	192	23	a	a	DET
ejpam-4841	192	24	∗	∗	NOUN
ejpam-4841	192	25	(	(	PUNCT
ejpam-4841	192	26	a	a	DET
ejpam-4841	192	27	∗	∗	NOUN
ejpam-4841	192	28	c	c	NOUN
ejpam-4841	192	29	)	)	PUNCT
ejpam-4841	192	30	)	)	PUNCT
ejpam-4841	193	1	=	=	PUNCT
ejpam-4841	193	2	a	a	DET
ejpam-4841	193	3	∗	∗	NOUN
ejpam-4841	193	4	(	(	PUNCT
ejpam-4841	193	5	a	a	DET
ejpam-4841	193	6	∗	∗	NOUN
ejpam-4841	193	7	(	(	PUNCT
ejpam-4841	193	8	(	(	PUNCT
ejpam-4841	193	9	0	0	NUM
ejpam-4841	193	10	∗	∗	NUM
ejpam-4841	193	11	b	b	NOUN
ejpam-4841	193	12	)	)	PUNCT
ejpam-4841	193	13	∗	∗	NOUN
ejpam-4841	193	14	c	c	NOUN
ejpam-4841	193	15	)	)	PUNCT
ejpam-4841	193	16	)	)	PUNCT
ejpam-4841	193	17	,	,	PUNCT
ejpam-4841	193	18	ii	ii	PROPN
ejpam-4841	193	19	.	.	PUNCT
ejpam-4841	194	1	(	(	PUNCT
ejpam-4841	194	2	a	a	DET
ejpam-4841	194	3	∗	∗	NOUN
ejpam-4841	194	4	(	(	PUNCT
ejpam-4841	194	5	a	a	DET
ejpam-4841	194	6	∗	∗	NOUN
ejpam-4841	194	7	b	b	NOUN
ejpam-4841	194	8	)	)	PUNCT
ejpam-4841	194	9	)	)	PUNCT
ejpam-4841	194	10	∗	∗	NOUN
ejpam-4841	194	11	(	(	PUNCT
ejpam-4841	194	12	a	a	DET
ejpam-4841	194	13	∗	∗	NOUN
ejpam-4841	194	14	(	(	PUNCT
ejpam-4841	194	15	a	a	DET
ejpam-4841	194	16	∗	∗	NOUN
ejpam-4841	194	17	c	c	NOUN
ejpam-4841	194	18	)	)	PUNCT
ejpam-4841	194	19	)	)	PUNCT
ejpam-4841	195	1	=	=	PUNCT
ejpam-4841	195	2	a	a	DET
ejpam-4841	195	3	∗	∗	NOUN
ejpam-4841	195	4	(	(	PUNCT
ejpam-4841	195	5	a	a	DET
ejpam-4841	195	6	∗	∗	NOUN
ejpam-4841	195	7	(	(	PUNCT
ejpam-4841	195	8	b	b	NOUN
ejpam-4841	195	9	∗	∗	NOUN
ejpam-4841	195	10	c	c	NOUN
ejpam-4841	195	11	)	)	PUNCT
ejpam-4841	195	12	)	)	PUNCT
ejpam-4841	195	13	,	,	PUNCT
ejpam-4841	195	14	iii	iii	X
ejpam-4841	195	15	.	.	PUNCT
ejpam-4841	196	1	[	[	X
ejpam-4841	196	2	(	(	PUNCT
ejpam-4841	196	3	(	(	PUNCT
ejpam-4841	196	4	a	a	DET
ejpam-4841	196	5	∗	∗	NOUN
ejpam-4841	196	6	b	b	NOUN
ejpam-4841	196	7	)	)	PUNCT
ejpam-4841	196	8	∗	∗	NOUN
ejpam-4841	196	9	(	(	PUNCT
ejpam-4841	196	10	(	(	PUNCT
ejpam-4841	196	11	0	0	NUM
ejpam-4841	196	12	∗	∗	NUM
ejpam-4841	196	13	b	b	NOUN
ejpam-4841	196	14	)	)	PUNCT
ejpam-4841	196	15	∗	∗	NOUN
ejpam-4841	196	16	(	(	PUNCT
ejpam-4841	196	17	0	0	NUM
ejpam-4841	196	18	∗	∗	NOUN
ejpam-4841	196	19	a	a	NOUN
ejpam-4841	196	20	)	)	PUNCT
ejpam-4841	196	21	)	)	PUNCT
ejpam-4841	196	22	)	)	PUNCT
ejpam-4841	197	1	∗	∗	NOUN
ejpam-4841	197	2	c	c	X
ejpam-4841	197	3	]	]	X
ejpam-4841	197	4	∗	∗	NOUN
ejpam-4841	197	5	(	(	PUNCT
ejpam-4841	197	6	c	c	NOUN
ejpam-4841	197	7	∗	∗	NOUN
ejpam-4841	197	8	(	(	PUNCT
ejpam-4841	197	9	c	c	NOUN
ejpam-4841	197	10	∗	∗	X
ejpam-4841	197	11	b	b	NOUN
ejpam-4841	197	12	)	)	PUNCT
ejpam-4841	197	13	)	)	PUNCT
ejpam-4841	198	1	=	=	PRON
ejpam-4841	198	2	(	(	PUNCT
ejpam-4841	198	3	a	a	DET
ejpam-4841	198	4	∗	∗	NOUN
ejpam-4841	198	5	b	b	NOUN
ejpam-4841	198	6	)	)	PUNCT
ejpam-4841	198	7	∗	∗	NOUN
ejpam-4841	198	8	(	(	PUNCT
ejpam-4841	198	9	c	c	NOUN
ejpam-4841	198	10	∗	∗	NOUN
ejpam-4841	198	11	(	(	PUNCT
ejpam-4841	198	12	0	0	NUM
ejpam-4841	198	13	∗	∗	NOUN
ejpam-4841	198	14	a	a	NOUN
ejpam-4841	198	15	)	)	PUNCT
ejpam-4841	198	16	)	)	PUNCT
ejpam-4841	198	17	.	.	PUNCT
ejpam-4841	199	1	proof	proof	NOUN
ejpam-4841	199	2	.	.	PUNCT
ejpam-4841	200	1	i.	i.	PROPN
ejpam-4841	200	2	by	by	ADP
ejpam-4841	200	3	(	(	PUNCT
ejpam-4841	200	4	iii	iii	NOUN
ejpam-4841	200	5	)	)	PUNCT
ejpam-4841	200	6	,	,	PUNCT
ejpam-4841	200	7	p2	p2	NOUN
ejpam-4841	200	8	,	,	PUNCT
ejpam-4841	200	9	p4	p4	ADJ
ejpam-4841	200	10	,	,	PUNCT
ejpam-4841	200	11	and	and	CCONJ
ejpam-4841	200	12	p3	p3	PROPN
ejpam-4841	200	13	,	,	PUNCT
ejpam-4841	200	14	we	we	PRON
ejpam-4841	200	15	have	have	VERB
ejpam-4841	200	16	(	(	PUNCT
ejpam-4841	200	17	(	(	PUNCT
ejpam-4841	200	18	a	a	DET
ejpam-4841	200	19	∗	∗	NOUN
ejpam-4841	200	20	b	b	NOUN
ejpam-4841	200	21	)	)	PUNCT
ejpam-4841	200	22	∗	∗	NOUN
ejpam-4841	200	23	a	a	PRON
ejpam-4841	200	24	)	)	PUNCT
ejpam-4841	200	25	∗	∗	NOUN
ejpam-4841	200	26	(	(	PUNCT
ejpam-4841	200	27	a	a	DET
ejpam-4841	200	28	∗	∗	NOUN
ejpam-4841	200	29	(	(	PUNCT
ejpam-4841	200	30	a	a	DET
ejpam-4841	200	31	∗	∗	NOUN
ejpam-4841	200	32	c	c	NOUN
ejpam-4841	200	33	)	)	PUNCT
ejpam-4841	200	34	)	)	PUNCT
ejpam-4841	201	1	=	=	PRON
ejpam-4841	201	2	(	(	PUNCT
ejpam-4841	201	3	a	a	DET
ejpam-4841	201	4	∗	∗	NOUN
ejpam-4841	201	5	b	b	NOUN
ejpam-4841	201	6	)	)	PUNCT
ejpam-4841	201	7	∗	∗	NOUN
ejpam-4841	202	1	[	[	X
ejpam-4841	202	2	(	(	PUNCT
ejpam-4841	202	3	a	a	DET
ejpam-4841	202	4	∗	∗	NOUN
ejpam-4841	202	5	(	(	PUNCT
ejpam-4841	202	6	a	a	DET
ejpam-4841	202	7	∗	∗	NOUN
ejpam-4841	202	8	c	c	NOUN
ejpam-4841	202	9	)	)	PUNCT
ejpam-4841	202	10	)	)	PUNCT
ejpam-4841	202	11	∗	∗	NOUN
ejpam-4841	202	12	(	(	PUNCT
ejpam-4841	202	13	0	0	NUM
ejpam-4841	202	14	∗	∗	NOUN
ejpam-4841	202	15	a	a	NOUN
ejpam-4841	202	16	)	)	PUNCT
ejpam-4841	202	17	]	]	PUNCT
ejpam-4841	203	1	j.	j.	PROPN
ejpam-4841	203	2	adanza	adanza	PROPN
ejpam-4841	203	3	/	/	SYM
ejpam-4841	203	4	eur	eur	PROPN
ejpam-4841	203	5	.	.	PUNCT
ejpam-4841	204	1	j.	j.	PROPN
ejpam-4841	204	2	pure	pure	PROPN
ejpam-4841	204	3	appl	appl	PROPN
ejpam-4841	204	4	.	.	PROPN
ejpam-4841	204	5	math	math	PROPN
ejpam-4841	204	6	,	,	PUNCT
ejpam-4841	204	7	16	16	NUM
ejpam-4841	204	8	(	(	PUNCT
ejpam-4841	204	9	3	3	NUM
ejpam-4841	204	10	)	)	PUNCT
ejpam-4841	204	11	(	(	PUNCT
ejpam-4841	204	12	2023	2023	NUM
ejpam-4841	204	13	)	)	PUNCT
ejpam-4841	204	14	,	,	PUNCT
ejpam-4841	204	15	1663	1663	NUM
ejpam-4841	204	16	-	-	SYM
ejpam-4841	204	17	1674	1674	NUM
ejpam-4841	204	18	1668	1668	NUM
ejpam-4841	204	19	=	=	PUNCT
ejpam-4841	204	20	a	a	DET
ejpam-4841	204	21	∗	∗	NOUN
ejpam-4841	204	22	[	[	X
ejpam-4841	204	23	(	(	PUNCT
ejpam-4841	204	24	(	(	PUNCT
ejpam-4841	204	25	a	a	DET
ejpam-4841	204	26	∗	∗	NOUN
ejpam-4841	204	27	(	(	PUNCT
ejpam-4841	204	28	a	a	DET
ejpam-4841	204	29	∗	∗	NOUN
ejpam-4841	204	30	c	c	NOUN
ejpam-4841	204	31	)	)	PUNCT
ejpam-4841	204	32	)	)	PUNCT
ejpam-4841	204	33	∗	∗	NOUN
ejpam-4841	204	34	(	(	PUNCT
ejpam-4841	204	35	0	0	NUM
ejpam-4841	204	36	∗	∗	NOUN
ejpam-4841	204	37	a	a	NOUN
ejpam-4841	204	38	)	)	PUNCT
ejpam-4841	204	39	)	)	PUNCT
ejpam-4841	204	40	∗	∗	NOUN
ejpam-4841	204	41	(	(	PUNCT
ejpam-4841	204	42	0	0	NUM
ejpam-4841	204	43	∗	∗	NUM
ejpam-4841	204	44	b	b	NOUN
ejpam-4841	204	45	)	)	PUNCT
ejpam-4841	204	46	]	]	PUNCT
ejpam-4841	205	1	=	=	PUNCT
ejpam-4841	205	2	a	a	DET
ejpam-4841	205	3	∗	∗	NOUN
ejpam-4841	205	4	[	[	X
ejpam-4841	205	5	(	(	PUNCT
ejpam-4841	205	6	a	a	DET
ejpam-4841	205	7	∗	∗	NOUN
ejpam-4841	205	8	(	(	PUNCT
ejpam-4841	205	9	(	(	PUNCT
ejpam-4841	205	10	0	0	NUM
ejpam-4841	205	11	∗	∗	NOUN
ejpam-4841	205	12	a	a	NOUN
ejpam-4841	205	13	)	)	PUNCT
ejpam-4841	205	14	∗	∗	NOUN
ejpam-4841	205	15	(	(	PUNCT
ejpam-4841	205	16	0	0	NUM
ejpam-4841	205	17	∗	∗	NOUN
ejpam-4841	205	18	(	(	PUNCT
ejpam-4841	205	19	a	a	DET
ejpam-4841	205	20	∗	∗	NOUN
ejpam-4841	205	21	c	c	NOUN
ejpam-4841	205	22	)	)	PUNCT
ejpam-4841	205	23	)	)	PUNCT
ejpam-4841	205	24	)	)	PUNCT
ejpam-4841	205	25	)	)	PUNCT
ejpam-4841	206	1	∗	∗	NOUN
ejpam-4841	206	2	(	(	PUNCT
ejpam-4841	206	3	0	0	NUM
ejpam-4841	206	4	∗	∗	NUM
ejpam-4841	206	5	b	b	NOUN
ejpam-4841	206	6	)	)	PUNCT
ejpam-4841	206	7	]	]	PUNCT
ejpam-4841	207	1	=	=	PUNCT
ejpam-4841	207	2	a	a	DET
ejpam-4841	207	3	∗	∗	NOUN
ejpam-4841	207	4	[	[	X
ejpam-4841	207	5	(	(	PUNCT
ejpam-4841	207	6	a	a	DET
ejpam-4841	207	7	∗	∗	NOUN
ejpam-4841	207	8	(	(	PUNCT
ejpam-4841	207	9	(	(	PUNCT
ejpam-4841	207	10	0	0	NUM
ejpam-4841	207	11	∗	∗	NOUN
ejpam-4841	207	12	a	a	NOUN
ejpam-4841	207	13	)	)	PUNCT
ejpam-4841	207	14	∗	∗	NOUN
ejpam-4841	207	15	(	(	PUNCT
ejpam-4841	207	16	c	c	PROPN
ejpam-4841	207	17	∗	∗	X
ejpam-4841	207	18	a	a	NOUN
ejpam-4841	207	19	)	)	PUNCT
ejpam-4841	207	20	)	)	PUNCT
ejpam-4841	207	21	)	)	PUNCT
ejpam-4841	207	22	∗	∗	NOUN
ejpam-4841	207	23	(	(	PUNCT
ejpam-4841	207	24	0	0	NUM
ejpam-4841	207	25	∗	∗	NUM
ejpam-4841	207	26	b	b	NOUN
ejpam-4841	207	27	)	)	PUNCT
ejpam-4841	207	28	]	]	PUNCT
ejpam-4841	208	1	=	=	PUNCT
ejpam-4841	208	2	a	a	DET
ejpam-4841	208	3	∗	∗	NOUN
ejpam-4841	208	4	[	[	X
ejpam-4841	208	5	(	(	PUNCT
ejpam-4841	208	6	a	a	DET
ejpam-4841	208	7	∗	∗	NOUN
ejpam-4841	208	8	(	(	PUNCT
ejpam-4841	208	9	0	0	NUM
ejpam-4841	208	10	∗	∗	NOUN
ejpam-4841	208	11	c	c	NOUN
ejpam-4841	208	12	)	)	PUNCT
ejpam-4841	208	13	)	)	PUNCT
ejpam-4841	208	14	∗	∗	NOUN
ejpam-4841	208	15	(	(	PUNCT
ejpam-4841	208	16	0	0	NUM
ejpam-4841	208	17	∗	∗	NUM
ejpam-4841	208	18	b	b	NOUN
ejpam-4841	208	19	)	)	PUNCT
ejpam-4841	208	20	]	]	PUNCT
ejpam-4841	209	1	=	=	PUNCT
ejpam-4841	209	2	a	a	DET
ejpam-4841	209	3	∗	∗	NOUN
ejpam-4841	209	4	(	(	PUNCT
ejpam-4841	209	5	a	a	DET
ejpam-4841	209	6	∗	∗	NOUN
ejpam-4841	209	7	(	(	PUNCT
ejpam-4841	209	8	(	(	PUNCT
ejpam-4841	209	9	0	0	NUM
ejpam-4841	209	10	∗	∗	NUM
ejpam-4841	209	11	b	b	NOUN
ejpam-4841	209	12	)	)	PUNCT
ejpam-4841	209	13	∗	∗	NOUN
ejpam-4841	209	14	c	c	NOUN
ejpam-4841	209	15	)	)	PUNCT
ejpam-4841	209	16	)	)	PUNCT
ejpam-4841	209	17	.	.	PUNCT
ejpam-4841	210	1	ii	ii	PROPN
ejpam-4841	210	2	.	.	PUNCT
ejpam-4841	211	1	by	by	ADP
ejpam-4841	211	2	(	(	PUNCT
ejpam-4841	211	3	iii	iii	NOUN
ejpam-4841	211	4	)	)	PUNCT
ejpam-4841	211	5	,	,	PUNCT
ejpam-4841	211	6	p2	p2	X
ejpam-4841	211	7	,	,	PUNCT
ejpam-4841	211	8	and	and	CCONJ
ejpam-4841	211	9	p4	p4	ADJ
ejpam-4841	211	10	,	,	PUNCT
ejpam-4841	211	11	we	we	PRON
ejpam-4841	211	12	have	have	VERB
ejpam-4841	211	13	(	(	PUNCT
ejpam-4841	211	14	a	a	DET
ejpam-4841	211	15	∗	∗	NOUN
ejpam-4841	211	16	(	(	PUNCT
ejpam-4841	211	17	a	a	DET
ejpam-4841	211	18	∗	∗	NOUN
ejpam-4841	211	19	b	b	NOUN
ejpam-4841	211	20	)	)	PUNCT
ejpam-4841	211	21	)	)	PUNCT
ejpam-4841	211	22	∗	∗	NOUN
ejpam-4841	211	23	(	(	PUNCT
ejpam-4841	211	24	a	a	DET
ejpam-4841	211	25	∗	∗	NOUN
ejpam-4841	211	26	(	(	PUNCT
ejpam-4841	211	27	a	a	DET
ejpam-4841	211	28	∗	∗	NOUN
ejpam-4841	211	29	c	c	NOUN
ejpam-4841	211	30	)	)	PUNCT
ejpam-4841	211	31	)	)	PUNCT
ejpam-4841	212	1	=	=	PUNCT
ejpam-4841	212	2	a	a	DET
ejpam-4841	212	3	∗	∗	NOUN
ejpam-4841	212	4	[	[	X
ejpam-4841	212	5	(	(	PUNCT
ejpam-4841	212	6	a	a	DET
ejpam-4841	212	7	∗	∗	NOUN
ejpam-4841	212	8	(	(	PUNCT
ejpam-4841	212	9	a	a	DET
ejpam-4841	212	10	∗	∗	NOUN
ejpam-4841	212	11	c	c	NOUN
ejpam-4841	212	12	)	)	PUNCT
ejpam-4841	212	13	)	)	PUNCT
ejpam-4841	212	14	∗	∗	NOUN
ejpam-4841	212	15	(	(	PUNCT
ejpam-4841	212	16	0	0	NUM
ejpam-4841	212	17	∗	∗	NOUN
ejpam-4841	212	18	(	(	PUNCT
ejpam-4841	212	19	a	a	DET
ejpam-4841	212	20	∗	∗	NOUN
ejpam-4841	212	21	b	b	NOUN
ejpam-4841	212	22	)	)	PUNCT
ejpam-4841	212	23	)	)	PUNCT
ejpam-4841	212	24	]	]	PUNCT
ejpam-4841	213	1	=	=	PUNCT
ejpam-4841	213	2	a	a	DET
ejpam-4841	213	3	∗	∗	NOUN
ejpam-4841	213	4	(	(	PUNCT
ejpam-4841	213	5	(	(	PUNCT
ejpam-4841	213	6	a	a	DET
ejpam-4841	213	7	∗	∗	NOUN
ejpam-4841	213	8	(	(	PUNCT
ejpam-4841	213	9	a	a	DET
ejpam-4841	213	10	∗	∗	NOUN
ejpam-4841	213	11	c	c	NOUN
ejpam-4841	213	12	)	)	PUNCT
ejpam-4841	213	13	)	)	PUNCT
ejpam-4841	213	14	∗	∗	NOUN
ejpam-4841	213	15	(	(	PUNCT
ejpam-4841	213	16	b	b	NOUN
ejpam-4841	213	17	∗	∗	NOUN
ejpam-4841	213	18	a	a	NOUN
ejpam-4841	213	19	)	)	PUNCT
ejpam-4841	213	20	)	)	PUNCT
ejpam-4841	214	1	=	=	PUNCT
ejpam-4841	214	2	a	a	DET
ejpam-4841	214	3	∗	∗	NOUN
ejpam-4841	214	4	[	[	X
ejpam-4841	214	5	a	a	DET
ejpam-4841	214	6	∗	∗	NOUN
ejpam-4841	214	7	(	(	PUNCT
ejpam-4841	214	8	(	(	PUNCT
ejpam-4841	214	9	b	b	NOUN
ejpam-4841	214	10	∗	∗	X
ejpam-4841	214	11	a	a	NOUN
ejpam-4841	214	12	)	)	PUNCT
ejpam-4841	214	13	∗	∗	NOUN
ejpam-4841	214	14	(	(	PUNCT
ejpam-4841	214	15	0	0	NUM
ejpam-4841	214	16	∗	∗	NOUN
ejpam-4841	214	17	(	(	PUNCT
ejpam-4841	214	18	a	a	DET
ejpam-4841	214	19	∗	∗	NOUN
ejpam-4841	214	20	c	c	NOUN
ejpam-4841	214	21	)	)	PUNCT
ejpam-4841	214	22	)	)	PUNCT
ejpam-4841	214	23	)	)	PUNCT
ejpam-4841	214	24	]	]	PUNCT
ejpam-4841	215	1	=	=	PUNCT
ejpam-4841	215	2	a	a	DET
ejpam-4841	215	3	∗	∗	NOUN
ejpam-4841	215	4	(	(	PUNCT
ejpam-4841	215	5	a	a	DET
ejpam-4841	215	6	∗	∗	NOUN
ejpam-4841	215	7	(	(	PUNCT
ejpam-4841	215	8	(	(	PUNCT
ejpam-4841	215	9	b	b	NOUN
ejpam-4841	215	10	∗	∗	X
ejpam-4841	215	11	a	a	NOUN
ejpam-4841	215	12	)	)	PUNCT
ejpam-4841	215	13	∗	∗	NOUN
ejpam-4841	215	14	(	(	PUNCT
ejpam-4841	215	15	c	c	PROPN
ejpam-4841	215	16	∗	∗	X
ejpam-4841	215	17	a	a	NOUN
ejpam-4841	215	18	)	)	PUNCT
ejpam-4841	215	19	)	)	PUNCT
ejpam-4841	215	20	)	)	PUNCT
ejpam-4841	216	1	=	=	PUNCT
ejpam-4841	216	2	a	a	DET
ejpam-4841	216	3	∗	∗	NOUN
ejpam-4841	216	4	(	(	PUNCT
ejpam-4841	216	5	a	a	DET
ejpam-4841	216	6	∗	∗	NOUN
ejpam-4841	216	7	(	(	PUNCT
ejpam-4841	216	8	b	b	NOUN
ejpam-4841	216	9	∗	∗	NOUN
ejpam-4841	216	10	c	c	NOUN
ejpam-4841	216	11	)	)	PUNCT
ejpam-4841	216	12	)	)	PUNCT
ejpam-4841	216	13	.	.	PUNCT
ejpam-4841	217	1	iii	iii	X
ejpam-4841	217	2	.	.	PUNCT
ejpam-4841	218	1	by	by	ADP
ejpam-4841	218	2	(	(	PUNCT
ejpam-4841	218	3	iii	iii	NOUN
ejpam-4841	218	4	)	)	PUNCT
ejpam-4841	218	5	,	,	PUNCT
ejpam-4841	218	6	p2	p2	NOUN
ejpam-4841	218	7	,	,	PUNCT
ejpam-4841	218	8	p4	p4	ADJ
ejpam-4841	218	9	,	,	PUNCT
ejpam-4841	218	10	p3	p3	PROPN
ejpam-4841	218	11	,	,	PUNCT
ejpam-4841	218	12	(	(	PUNCT
ejpam-4841	218	13	i	i	NOUN
ejpam-4841	218	14	)	)	PUNCT
ejpam-4841	218	15	,	,	PUNCT
ejpam-4841	218	16	and	and	CCONJ
ejpam-4841	218	17	(	(	PUNCT
ejpam-4841	218	18	ii	ii	NOUN
ejpam-4841	218	19	)	)	PUNCT
ejpam-4841	218	20	,	,	PUNCT
ejpam-4841	218	21	we	we	PRON
ejpam-4841	218	22	have	have	VERB
ejpam-4841	218	23	[	[	X
ejpam-4841	218	24	(	(	PUNCT
ejpam-4841	218	25	(	(	PUNCT
ejpam-4841	218	26	a	a	DET
ejpam-4841	218	27	∗	∗	NOUN
ejpam-4841	218	28	b	b	NOUN
ejpam-4841	218	29	)	)	PUNCT
ejpam-4841	218	30	∗	∗	NOUN
ejpam-4841	218	31	(	(	PUNCT
ejpam-4841	218	32	(	(	PUNCT
ejpam-4841	218	33	0	0	NUM
ejpam-4841	218	34	∗	∗	NUM
ejpam-4841	218	35	b	b	NOUN
ejpam-4841	218	36	)	)	PUNCT
ejpam-4841	218	37	∗	∗	NOUN
ejpam-4841	218	38	(	(	PUNCT
ejpam-4841	218	39	0	0	NUM
ejpam-4841	218	40	∗	∗	NOUN
ejpam-4841	218	41	a	a	NOUN
ejpam-4841	218	42	)	)	PUNCT
ejpam-4841	218	43	)	)	PUNCT
ejpam-4841	218	44	)	)	PUNCT
ejpam-4841	219	1	∗	∗	NOUN
ejpam-4841	219	2	c	c	X
ejpam-4841	219	3	]	]	X
ejpam-4841	219	4	∗	∗	NOUN
ejpam-4841	219	5	(	(	PUNCT
ejpam-4841	219	6	c	c	NOUN
ejpam-4841	219	7	∗	∗	NOUN
ejpam-4841	219	8	(	(	PUNCT
ejpam-4841	219	9	c	c	NOUN
ejpam-4841	219	10	∗	∗	X
ejpam-4841	219	11	b	b	NOUN
ejpam-4841	219	12	)	)	PUNCT
ejpam-4841	219	13	)	)	PUNCT
ejpam-4841	220	1	=	=	PUNCT
ejpam-4841	221	1	[	[	X
ejpam-4841	221	2	(	(	PUNCT
ejpam-4841	221	3	a	a	DET
ejpam-4841	221	4	∗	∗	NOUN
ejpam-4841	221	5	b	b	NOUN
ejpam-4841	221	6	)	)	PUNCT
ejpam-4841	221	7	∗	∗	NOUN
ejpam-4841	221	8	(	(	PUNCT
ejpam-4841	221	9	c	c	NOUN
ejpam-4841	221	10	∗	∗	NOUN
ejpam-4841	221	11	(	(	PUNCT
ejpam-4841	221	12	0	0	NUM
ejpam-4841	221	13	∗	∗	NOUN
ejpam-4841	221	14	(	(	PUNCT
ejpam-4841	221	15	(	(	PUNCT
ejpam-4841	221	16	0	0	NUM
ejpam-4841	221	17	∗	∗	NUM
ejpam-4841	221	18	b	b	NOUN
ejpam-4841	221	19	)	)	PUNCT
ejpam-4841	221	20	∗	∗	NOUN
ejpam-4841	221	21	(	(	PUNCT
ejpam-4841	221	22	0	0	NUM
ejpam-4841	221	23	∗	∗	NOUN
ejpam-4841	221	24	a	a	NOUN
ejpam-4841	221	25	)	)	PUNCT
ejpam-4841	221	26	)	)	PUNCT
ejpam-4841	221	27	)	)	PUNCT
ejpam-4841	221	28	)	)	PUNCT
ejpam-4841	221	29	]	]	PUNCT
ejpam-4841	222	1	∗	∗	NOUN
ejpam-4841	222	2	(	(	PUNCT
ejpam-4841	222	3	c	c	NOUN
ejpam-4841	222	4	∗	∗	NOUN
ejpam-4841	222	5	(	(	PUNCT
ejpam-4841	222	6	c	c	NOUN
ejpam-4841	222	7	∗	∗	X
ejpam-4841	222	8	b	b	NOUN
ejpam-4841	222	9	)	)	PUNCT
ejpam-4841	222	10	)	)	PUNCT
ejpam-4841	223	1	=	=	PUNCT
ejpam-4841	224	1	[	[	X
ejpam-4841	224	2	(	(	PUNCT
ejpam-4841	224	3	a	a	DET
ejpam-4841	224	4	∗	∗	NOUN
ejpam-4841	224	5	b	b	NOUN
ejpam-4841	224	6	)	)	PUNCT
ejpam-4841	224	7	∗	∗	NOUN
ejpam-4841	224	8	(	(	PUNCT
ejpam-4841	224	9	c	c	NOUN
ejpam-4841	224	10	∗	∗	X
ejpam-4841	224	11	(	(	PUNCT
ejpam-4841	224	12	(	(	PUNCT
ejpam-4841	224	13	0	0	NUM
ejpam-4841	224	14	∗	∗	NOUN
ejpam-4841	224	15	a	a	NOUN
ejpam-4841	224	16	)	)	PUNCT
ejpam-4841	224	17	∗	∗	NOUN
ejpam-4841	224	18	(	(	PUNCT
ejpam-4841	224	19	0	0	NUM
ejpam-4841	224	20	∗	∗	NUM
ejpam-4841	224	21	b	b	NOUN
ejpam-4841	224	22	)	)	PUNCT
ejpam-4841	224	23	)	)	PUNCT
ejpam-4841	224	24	)	)	PUNCT
ejpam-4841	224	25	]	]	PUNCT
ejpam-4841	225	1	∗	∗	NOUN
ejpam-4841	225	2	(	(	PUNCT
ejpam-4841	225	3	c	c	NOUN
ejpam-4841	225	4	∗	∗	NOUN
ejpam-4841	225	5	(	(	PUNCT
ejpam-4841	225	6	c	c	NOUN
ejpam-4841	225	7	∗	∗	X
ejpam-4841	225	8	b	b	NOUN
ejpam-4841	225	9	)	)	PUNCT
ejpam-4841	225	10	)	)	PUNCT
ejpam-4841	226	1	=	=	PRON
ejpam-4841	226	2	(	(	PUNCT
ejpam-4841	226	3	a	a	DET
ejpam-4841	226	4	∗	∗	NOUN
ejpam-4841	226	5	b	b	NOUN
ejpam-4841	226	6	)	)	PUNCT
ejpam-4841	226	7	∗	∗	NOUN
ejpam-4841	227	1	[	[	X
ejpam-4841	227	2	(	(	PUNCT
ejpam-4841	227	3	c	c	NOUN
ejpam-4841	227	4	∗	∗	NOUN
ejpam-4841	227	5	(	(	PUNCT
ejpam-4841	227	6	c	c	NOUN
ejpam-4841	227	7	∗	∗	X
ejpam-4841	227	8	b	b	NOUN
ejpam-4841	227	9	)	)	PUNCT
ejpam-4841	227	10	)	)	PUNCT
ejpam-4841	227	11	∗	∗	NOUN
ejpam-4841	227	12	(	(	PUNCT
ejpam-4841	227	13	0	0	NUM
ejpam-4841	227	14	∗	∗	NOUN
ejpam-4841	227	15	(	(	PUNCT
ejpam-4841	227	16	c	c	NOUN
ejpam-4841	227	17	∗	∗	NOUN
ejpam-4841	227	18	∗((0	∗((0	NUM
ejpam-4841	227	19	∗	∗	NOUN
ejpam-4841	227	20	a	a	PRON
ejpam-4841	227	21	)	)	PUNCT
ejpam-4841	227	22	∗	∗	NOUN
ejpam-4841	227	23	(	(	PUNCT
ejpam-4841	227	24	0	0	NUM
ejpam-4841	227	25	∗	∗	NUM
ejpam-4841	227	26	b	b	NOUN
ejpam-4841	227	27	)	)	PUNCT
ejpam-4841	227	28	)	)	PUNCT
ejpam-4841	227	29	)	)	PUNCT
ejpam-4841	227	30	)	)	PUNCT
ejpam-4841	227	31	]	]	PUNCT
ejpam-4841	228	1	=	=	PUNCT
ejpam-4841	228	2	(	(	PUNCT
ejpam-4841	228	3	a	a	DET
ejpam-4841	228	4	∗	∗	NOUN
ejpam-4841	228	5	b	b	NOUN
ejpam-4841	228	6	)	)	PUNCT
ejpam-4841	228	7	∗	∗	NOUN
ejpam-4841	229	1	[	[	X
ejpam-4841	229	2	(	(	PUNCT
ejpam-4841	229	3	c	c	NOUN
ejpam-4841	229	4	∗	∗	NOUN
ejpam-4841	229	5	(	(	PUNCT
ejpam-4841	229	6	c	c	NOUN
ejpam-4841	229	7	∗	∗	X
ejpam-4841	229	8	b	b	NOUN
ejpam-4841	229	9	)	)	PUNCT
ejpam-4841	229	10	)	)	PUNCT
ejpam-4841	229	11	∗	∗	NOUN
ejpam-4841	229	12	(	(	PUNCT
ejpam-4841	229	13	(	(	PUNCT
ejpam-4841	229	14	(	(	PUNCT
ejpam-4841	229	15	0	0	NUM
ejpam-4841	229	16	∗	∗	NOUN
ejpam-4841	229	17	a	a	NOUN
ejpam-4841	229	18	)	)	PUNCT
ejpam-4841	229	19	∗	∗	NOUN
ejpam-4841	229	20	(	(	PUNCT
ejpam-4841	229	21	0	0	NUM
ejpam-4841	229	22	∗	∗	NUM
ejpam-4841	229	23	b	b	NOUN
ejpam-4841	229	24	)	)	PUNCT
ejpam-4841	229	25	)	)	PUNCT
ejpam-4841	229	26	∗	∗	NOUN
ejpam-4841	229	27	c	c	NOUN
ejpam-4841	229	28	)	)	PUNCT
ejpam-4841	229	29	]	]	PUNCT
ejpam-4841	230	1	=	=	PUNCT
ejpam-4841	230	2	(	(	PUNCT
ejpam-4841	230	3	a	a	DET
ejpam-4841	230	4	∗	∗	NOUN
ejpam-4841	230	5	b	b	NOUN
ejpam-4841	230	6	)	)	PUNCT
ejpam-4841	230	7	∗	∗	NOUN
ejpam-4841	231	1	[	[	X
ejpam-4841	231	2	c	c	X
ejpam-4841	231	3	∗	∗	X
ejpam-4841	231	4	(	(	PUNCT
ejpam-4841	231	5	(	(	PUNCT
ejpam-4841	231	6	(	(	PUNCT
ejpam-4841	231	7	(	(	PUNCT
ejpam-4841	231	8	0	0	NUM
ejpam-4841	231	9	∗	∗	NOUN
ejpam-4841	231	10	a	a	NOUN
ejpam-4841	231	11	)	)	PUNCT
ejpam-4841	231	12	∗	∗	NOUN
ejpam-4841	231	13	(	(	PUNCT
ejpam-4841	231	14	0	0	NUM
ejpam-4841	231	15	∗	∗	NUM
ejpam-4841	231	16	b	b	NOUN
ejpam-4841	231	17	)	)	PUNCT
ejpam-4841	231	18	)	)	PUNCT
ejpam-4841	231	19	∗	∗	NOUN
ejpam-4841	231	20	c	c	NOUN
ejpam-4841	231	21	)	)	PUNCT
ejpam-4841	231	22	∗	∗	NOUN
ejpam-4841	231	23	(	(	PUNCT
ejpam-4841	231	24	0	0	NUM
ejpam-4841	231	25	∗	∗	NOUN
ejpam-4841	231	26	(	(	PUNCT
ejpam-4841	231	27	c	c	NOUN
ejpam-4841	231	28	∗	∗	X
ejpam-4841	231	29	b	b	NOUN
ejpam-4841	231	30	)	)	PUNCT
ejpam-4841	231	31	)	)	PUNCT
ejpam-4841	231	32	)	)	PUNCT
ejpam-4841	231	33	]	]	PUNCT
ejpam-4841	232	1	=	=	PUNCT
ejpam-4841	232	2	(	(	PUNCT
ejpam-4841	232	3	a	a	DET
ejpam-4841	232	4	∗	∗	NOUN
ejpam-4841	232	5	b	b	NOUN
ejpam-4841	232	6	)	)	PUNCT
ejpam-4841	232	7	∗	∗	NOUN
ejpam-4841	233	1	[	[	X
ejpam-4841	233	2	c	c	X
ejpam-4841	233	3	∗	∗	X
ejpam-4841	233	4	(	(	PUNCT
ejpam-4841	233	5	(	(	PUNCT
ejpam-4841	233	6	(	(	PUNCT
ejpam-4841	233	7	(	(	PUNCT
ejpam-4841	233	8	0	0	NUM
ejpam-4841	233	9	∗	∗	NOUN
ejpam-4841	233	10	a	a	NOUN
ejpam-4841	233	11	)	)	PUNCT
ejpam-4841	233	12	∗	∗	NOUN
ejpam-4841	233	13	(	(	PUNCT
ejpam-4841	233	14	0	0	NUM
ejpam-4841	233	15	∗	∗	NUM
ejpam-4841	233	16	b	b	NOUN
ejpam-4841	233	17	)	)	PUNCT
ejpam-4841	233	18	)	)	PUNCT
ejpam-4841	233	19	∗	∗	NOUN
ejpam-4841	233	20	c	c	NOUN
ejpam-4841	233	21	)	)	PUNCT
ejpam-4841	233	22	∗	∗	NOUN
ejpam-4841	233	23	(	(	PUNCT
ejpam-4841	233	24	b	b	NOUN
ejpam-4841	233	25	∗	∗	NOUN
ejpam-4841	233	26	c	c	NOUN
ejpam-4841	233	27	)	)	PUNCT
ejpam-4841	233	28	)	)	PUNCT
ejpam-4841	233	29	]	]	PUNCT
ejpam-4841	234	1	=	=	PUNCT
ejpam-4841	234	2	(	(	PUNCT
ejpam-4841	234	3	a	a	DET
ejpam-4841	234	4	∗	∗	NOUN
ejpam-4841	234	5	b	b	NOUN
ejpam-4841	234	6	)	)	PUNCT
ejpam-4841	234	7	∗	∗	NOUN
ejpam-4841	235	1	[	[	X
ejpam-4841	235	2	c	c	X
ejpam-4841	235	3	∗	∗	X
ejpam-4841	235	4	(	(	PUNCT
ejpam-4841	235	5	(	(	PUNCT
ejpam-4841	235	6	(	(	PUNCT
ejpam-4841	235	7	0	0	NUM
ejpam-4841	235	8	∗	∗	NOUN
ejpam-4841	235	9	a	a	NOUN
ejpam-4841	235	10	)	)	PUNCT
ejpam-4841	235	11	∗	∗	NOUN
ejpam-4841	235	12	(	(	PUNCT
ejpam-4841	235	13	0	0	NUM
ejpam-4841	235	14	∗	∗	NUM
ejpam-4841	235	15	b	b	NOUN
ejpam-4841	235	16	)	)	PUNCT
ejpam-4841	235	17	)	)	PUNCT
ejpam-4841	235	18	∗	∗	PROPN
ejpam-4841	235	19	b	b	NOUN
ejpam-4841	235	20	)	)	PUNCT
ejpam-4841	235	21	]	]	PUNCT
ejpam-4841	236	1	=	=	X
ejpam-4841	236	2	(	(	PUNCT
ejpam-4841	236	3	a	a	DET
ejpam-4841	236	4	∗	∗	NOUN
ejpam-4841	236	5	b	b	NOUN
ejpam-4841	236	6	)	)	PUNCT
ejpam-4841	236	7	∗	∗	NOUN
ejpam-4841	237	1	[	[	X
ejpam-4841	237	2	c	c	X
ejpam-4841	237	3	∗	∗	X
ejpam-4841	237	4	(	(	PUNCT
ejpam-4841	237	5	(	(	PUNCT
ejpam-4841	237	6	0	0	NUM
ejpam-4841	237	7	∗	∗	NOUN
ejpam-4841	237	8	a	a	NOUN
ejpam-4841	237	9	)	)	PUNCT
ejpam-4841	237	10	∗	∗	NOUN
ejpam-4841	237	11	(	(	PUNCT
ejpam-4841	237	12	b	b	NOUN
ejpam-4841	237	13	∗	∗	NUM
ejpam-4841	237	14	b	b	NOUN
ejpam-4841	237	15	)	)	PUNCT
ejpam-4841	237	16	)	)	PUNCT
ejpam-4841	237	17	]	]	PUNCT
ejpam-4841	238	1	=	=	PUNCT
ejpam-4841	238	2	(	(	PUNCT
ejpam-4841	238	3	a	a	DET
ejpam-4841	238	4	∗	∗	NOUN
ejpam-4841	238	5	b	b	NOUN
ejpam-4841	238	6	)	)	PUNCT
ejpam-4841	238	7	∗	∗	NOUN
ejpam-4841	238	8	(	(	PUNCT
ejpam-4841	238	9	c	c	NOUN
ejpam-4841	238	10	∗	∗	X
ejpam-4841	238	11	(	(	PUNCT
ejpam-4841	238	12	(	(	PUNCT
ejpam-4841	238	13	0	0	NUM
ejpam-4841	238	14	∗	∗	NOUN
ejpam-4841	238	15	a	a	NOUN
ejpam-4841	238	16	)	)	PUNCT
ejpam-4841	238	17	∗	∗	NOUN
ejpam-4841	238	18	0	0	NUM
ejpam-4841	238	19	)	)	PUNCT
ejpam-4841	238	20	)	)	PUNCT
ejpam-4841	239	1	=	=	PRON
ejpam-4841	239	2	(	(	PUNCT
ejpam-4841	239	3	a	a	DET
ejpam-4841	239	4	∗	∗	NOUN
ejpam-4841	239	5	b	b	NOUN
ejpam-4841	239	6	)	)	PUNCT
ejpam-4841	239	7	∗	∗	NOUN
ejpam-4841	239	8	(	(	PUNCT
ejpam-4841	239	9	c	c	NOUN
ejpam-4841	239	10	∗	∗	NOUN
ejpam-4841	239	11	(	(	PUNCT
ejpam-4841	239	12	0	0	NUM
ejpam-4841	239	13	∗	∗	NOUN
ejpam-4841	239	14	a	a	NOUN
ejpam-4841	239	15	)	)	PUNCT
ejpam-4841	239	16	)	)	PUNCT
ejpam-4841	239	17	.	.	PUNCT
ejpam-4841	240	1	theorem	theorem	NOUN
ejpam-4841	240	2	1	1	NUM
ejpam-4841	240	3	.	.	PUNCT
ejpam-4841	241	1	let	let	VERB
ejpam-4841	241	2	w	w	NOUN
ejpam-4841	241	3	,	,	PUNCT
ejpam-4841	241	4	x	x	PRON
ejpam-4841	241	5	,	,	PUNCT
ejpam-4841	241	6	y	y	PROPN
ejpam-4841	241	7	∈	∈	PROPN
ejpam-4841	241	8	x.	x.	NOUN
ejpam-4841	242	1	then	then	ADV
ejpam-4841	242	2	[	[	X
ejpam-4841	242	3	x	x	X
ejpam-4841	242	4	,	,	PUNCT
ejpam-4841	242	5	y]w	y]w	X
ejpam-4841	242	6	=	=	PUNCT
ejpam-4841	243	1	[	[	X
ejpam-4841	243	2	xw	xw	PROPN
ejpam-4841	243	3	,	,	PUNCT
ejpam-4841	243	4	yw	yw	PROPN
ejpam-4841	243	5	]	]	PUNCT
ejpam-4841	243	6	.	.	PUNCT
ejpam-4841	244	1	proof	proof	NOUN
ejpam-4841	244	2	.	.	PUNCT
ejpam-4841	245	1	by	by	ADP
ejpam-4841	245	2	p2	p2	PROPN
ejpam-4841	245	3	,	,	PUNCT
ejpam-4841	245	4	we	we	PRON
ejpam-4841	245	5	have	have	VERB
ejpam-4841	245	6	[	[	X
ejpam-4841	245	7	xw	xw	PROPN
ejpam-4841	245	8	,	,	PUNCT
ejpam-4841	245	9	yw	yw	PROPN
ejpam-4841	245	10	]	]	X
ejpam-4841	246	1	=	=	SYM
ejpam-4841	246	2	(	(	PUNCT
ejpam-4841	246	3	(	(	PUNCT
ejpam-4841	246	4	0	0	NUM
ejpam-4841	246	5	∗	∗	PROPN
ejpam-4841	246	6	xw	xw	PROPN
ejpam-4841	246	7	)	)	PUNCT
ejpam-4841	246	8	∗	∗	PROPN
ejpam-4841	246	9	yw	yw	PROPN
ejpam-4841	246	10	)	)	PUNCT
ejpam-4841	246	11	∗	∗	NOUN
ejpam-4841	246	12	(	(	PUNCT
ejpam-4841	246	13	(	(	PUNCT
ejpam-4841	246	14	0	0	NUM
ejpam-4841	246	15	∗	∗	PROPN
ejpam-4841	246	16	yw	yw	PROPN
ejpam-4841	246	17	)	)	PUNCT
ejpam-4841	246	18	∗	∗	PROPN
ejpam-4841	246	19	xw	xw	PROPN
ejpam-4841	246	20	)	)	PUNCT
ejpam-4841	247	1	=	=	PUNCT
ejpam-4841	248	1	[	[	X
ejpam-4841	248	2	(	(	PUNCT
ejpam-4841	248	3	0	0	NUM
ejpam-4841	248	4	∗	∗	NOUN
ejpam-4841	248	5	(	(	PUNCT
ejpam-4841	248	6	(	(	PUNCT
ejpam-4841	248	7	0	0	NUM
ejpam-4841	248	8	∗	∗	PROPN
ejpam-4841	248	9	w	w	NOUN
ejpam-4841	248	10	)	)	PUNCT
ejpam-4841	248	11	∗	∗	NOUN
ejpam-4841	248	12	(	(	PUNCT
ejpam-4841	248	13	(	(	PUNCT
ejpam-4841	248	14	0	0	NUM
ejpam-4841	248	15	∗	∗	PROPN
ejpam-4841	248	16	w	w	PROPN
ejpam-4841	248	17	)	)	PUNCT
ejpam-4841	248	18	∗	∗	NOUN
ejpam-4841	248	19	x	x	NOUN
ejpam-4841	248	20	)	)	PUNCT
ejpam-4841	248	21	)	)	PUNCT
ejpam-4841	248	22	)	)	PUNCT
ejpam-4841	248	23	∗	∗	NOUN
ejpam-4841	248	24	yw	yw	PROPN
ejpam-4841	248	25	]	]	X
ejpam-4841	248	26	∗	∗	NOUN
ejpam-4841	248	27	[	[	X
ejpam-4841	248	28	(	(	PUNCT
ejpam-4841	248	29	0	0	NUM
ejpam-4841	248	30	∗	∗	NOUN
ejpam-4841	248	31	(	(	PUNCT
ejpam-4841	248	32	(	(	PUNCT
ejpam-4841	248	33	0	0	NUM
ejpam-4841	248	34	∗	∗	PROPN
ejpam-4841	248	35	w	w	NOUN
ejpam-4841	248	36	)	)	PUNCT
ejpam-4841	248	37	∗	∗	NOUN
ejpam-4841	248	38	(	(	PUNCT
ejpam-4841	248	39	(	(	PUNCT
ejpam-4841	248	40	0	0	NUM
ejpam-4841	248	41	∗	∗	PROPN
ejpam-4841	248	42	w	w	PROPN
ejpam-4841	248	43	)	)	PUNCT
ejpam-4841	248	44	∗	∗	PROPN
ejpam-4841	248	45	y	y	PROPN
ejpam-4841	248	46	)	)	PUNCT
ejpam-4841	248	47	)	)	PUNCT
ejpam-4841	248	48	)	)	PUNCT
ejpam-4841	248	49	∗	∗	PROPN
ejpam-4841	248	50	xw	xw	PROPN
ejpam-4841	248	51	]	]	X
ejpam-4841	249	1	=	=	PUNCT
ejpam-4841	250	1	[	[	X
ejpam-4841	250	2	(	(	PUNCT
ejpam-4841	250	3	(	(	PUNCT
ejpam-4841	250	4	(	(	PUNCT
ejpam-4841	250	5	0	0	NUM
ejpam-4841	250	6	∗	∗	PROPN
ejpam-4841	250	7	w	w	PROPN
ejpam-4841	250	8	)	)	PUNCT
ejpam-4841	250	9	∗	∗	NOUN
ejpam-4841	250	10	x	x	NOUN
ejpam-4841	250	11	)	)	PUNCT
ejpam-4841	250	12	∗	∗	NOUN
ejpam-4841	250	13	(	(	PUNCT
ejpam-4841	250	14	0	0	NUM
ejpam-4841	250	15	∗	∗	PROPN
ejpam-4841	250	16	w	w	NOUN
ejpam-4841	250	17	)	)	PUNCT
ejpam-4841	250	18	)	)	PUNCT
ejpam-4841	250	19	∗	∗	NOUN
ejpam-4841	250	20	yw]︸	yw]︸	VERB
ejpam-4841	251	1	︷︷	︷︷	PROPN
ejpam-4841	251	2	︸	︸	X
ejpam-4841	251	3	(	(	PUNCT
ejpam-4841	251	4	1	1	X
ejpam-4841	251	5	)	)	PUNCT
ejpam-4841	251	6	∗	∗	NOUN
ejpam-4841	251	7	[	[	X
ejpam-4841	251	8	(	(	PUNCT
ejpam-4841	251	9	(	(	PUNCT
ejpam-4841	251	10	(	(	PUNCT
ejpam-4841	251	11	0	0	NUM
ejpam-4841	251	12	∗	∗	PROPN
ejpam-4841	251	13	w	w	PROPN
ejpam-4841	251	14	)	)	PUNCT
ejpam-4841	251	15	∗	∗	PROPN
ejpam-4841	251	16	y	y	NOUN
ejpam-4841	251	17	)	)	PUNCT
ejpam-4841	251	18	∗	∗	NOUN
ejpam-4841	251	19	(	(	PUNCT
ejpam-4841	251	20	0	0	NUM
ejpam-4841	251	21	∗	∗	PROPN
ejpam-4841	251	22	w	w	NOUN
ejpam-4841	251	23	)	)	PUNCT
ejpam-4841	251	24	)	)	PUNCT
ejpam-4841	251	25	∗	∗	NOUN
ejpam-4841	251	26	xw]︸	xw]︸	PUNCT
ejpam-4841	252	1	︷︷	︷︷	PROPN
ejpam-4841	252	2	︸	︸	X
ejpam-4841	252	3	(	(	PUNCT
ejpam-4841	252	4	2	2	X
ejpam-4841	252	5	)	)	PUNCT
ejpam-4841	252	6	we	we	PRON
ejpam-4841	252	7	first	first	ADV
ejpam-4841	252	8	consider	consider	VERB
ejpam-4841	252	9	(	(	PUNCT
ejpam-4841	252	10	1	1	NUM
ejpam-4841	252	11	)	)	PUNCT
ejpam-4841	252	12	,	,	PUNCT
ejpam-4841	252	13	by	by	ADP
ejpam-4841	252	14	lemma	lemma	PROPN
ejpam-4841	252	15	4(i	4(i	NUM
ejpam-4841	252	16	)	)	PUNCT
ejpam-4841	253	1	[	[	X
ejpam-4841	253	2	with	with	ADP
ejpam-4841	253	3	a	a	DET
ejpam-4841	253	4	=	=	SYM
ejpam-4841	253	5	0	0	NUM
ejpam-4841	253	6	∗	∗	NOUN
ejpam-4841	253	7	w	w	PROPN
ejpam-4841	253	8	,	,	PUNCT
ejpam-4841	253	9	b	b	NOUN
ejpam-4841	253	10	=	=	SYM
ejpam-4841	253	11	x	x	NOUN
ejpam-4841	253	12	,	,	PUNCT
ejpam-4841	253	13	c	c	PROPN
ejpam-4841	253	14	=	=	SYM
ejpam-4841	253	15	y	y	PROPN
ejpam-4841	253	16	]	]	X
ejpam-4841	253	17	,	,	PUNCT
ejpam-4841	253	18	we	we	PRON
ejpam-4841	253	19	have	have	VERB
ejpam-4841	253	20	(	(	PUNCT
ejpam-4841	253	21	(	(	PUNCT
ejpam-4841	253	22	(	(	PUNCT
ejpam-4841	253	23	0	0	NUM
ejpam-4841	253	24	∗	∗	PROPN
ejpam-4841	253	25	w	w	PROPN
ejpam-4841	253	26	)	)	PUNCT
ejpam-4841	253	27	∗	∗	NOUN
ejpam-4841	253	28	x	x	NOUN
ejpam-4841	253	29	)	)	PUNCT
ejpam-4841	253	30	∗	∗	NOUN
ejpam-4841	253	31	(	(	PUNCT
ejpam-4841	253	32	0	0	NUM
ejpam-4841	253	33	∗	∗	PROPN
ejpam-4841	253	34	w	w	NOUN
ejpam-4841	253	35	)	)	PUNCT
ejpam-4841	253	36	)	)	PUNCT
ejpam-4841	253	37	∗	∗	NOUN
ejpam-4841	253	38	yw	yw	NOUN
ejpam-4841	253	39	=	=	SYM
ejpam-4841	253	40	(	(	PUNCT
ejpam-4841	253	41	(	(	PUNCT
ejpam-4841	253	42	(	(	PUNCT
ejpam-4841	253	43	0	0	NUM
ejpam-4841	253	44	∗	∗	PROPN
ejpam-4841	253	45	w	w	PROPN
ejpam-4841	253	46	)	)	PUNCT
ejpam-4841	253	47	∗	∗	NOUN
ejpam-4841	253	48	x	x	NOUN
ejpam-4841	253	49	)	)	PUNCT
ejpam-4841	253	50	∗	∗	NOUN
ejpam-4841	253	51	(	(	PUNCT
ejpam-4841	253	52	0	0	NUM
ejpam-4841	253	53	∗	∗	PROPN
ejpam-4841	253	54	w	w	NOUN
ejpam-4841	253	55	)	)	PUNCT
ejpam-4841	253	56	)	)	PUNCT
ejpam-4841	253	57	∗	∗	NOUN
ejpam-4841	253	58	(	(	PUNCT
ejpam-4841	253	59	(	(	PUNCT
ejpam-4841	253	60	0	0	NUM
ejpam-4841	253	61	∗	∗	PROPN
ejpam-4841	253	62	w	w	NOUN
ejpam-4841	253	63	)	)	PUNCT
ejpam-4841	253	64	∗	∗	NOUN
ejpam-4841	253	65	(	(	PUNCT
ejpam-4841	253	66	(	(	PUNCT
ejpam-4841	253	67	0	0	NUM
ejpam-4841	253	68	∗	∗	PROPN
ejpam-4841	253	69	w	w	PROPN
ejpam-4841	253	70	)	)	PUNCT
ejpam-4841	253	71	∗	∗	PROPN
ejpam-4841	253	72	y	y	PROPN
ejpam-4841	253	73	)	)	PUNCT
ejpam-4841	253	74	)	)	PUNCT
ejpam-4841	254	1	=	=	PUNCT
ejpam-4841	254	2	(	(	PUNCT
ejpam-4841	254	3	0	0	NUM
ejpam-4841	254	4	∗	∗	PROPN
ejpam-4841	254	5	w	w	NOUN
ejpam-4841	254	6	)	)	PUNCT
ejpam-4841	254	7	∗	∗	NOUN
ejpam-4841	254	8	(	(	PUNCT
ejpam-4841	254	9	(	(	PUNCT
ejpam-4841	254	10	0	0	NUM
ejpam-4841	254	11	∗	∗	PROPN
ejpam-4841	254	12	w	w	NOUN
ejpam-4841	254	13	)	)	PUNCT
ejpam-4841	254	14	∗	∗	NOUN
ejpam-4841	254	15	(	(	PUNCT
ejpam-4841	254	16	(	(	PUNCT
ejpam-4841	254	17	0	0	NUM
ejpam-4841	254	18	∗	∗	NOUN
ejpam-4841	254	19	x	x	NOUN
ejpam-4841	254	20	)	)	PUNCT
ejpam-4841	254	21	∗	∗	PROPN
ejpam-4841	254	22	y	y	PROPN
ejpam-4841	254	23	)	)	PUNCT
ejpam-4841	254	24	)	)	PUNCT
ejpam-4841	254	25	.	.	PUNCT
ejpam-4841	255	1	similarly	similarly	ADV
ejpam-4841	255	2	for	for	ADP
ejpam-4841	255	3	(	(	PUNCT
ejpam-4841	255	4	2	2	NUM
ejpam-4841	255	5	)	)	PUNCT
ejpam-4841	255	6	,	,	PUNCT
ejpam-4841	255	7	by	by	ADP
ejpam-4841	255	8	lemma	lemma	PROPN
ejpam-4841	255	9	4(i	4(i	NUM
ejpam-4841	255	10	)	)	PUNCT
ejpam-4841	256	1	[	[	X
ejpam-4841	256	2	with	with	ADP
ejpam-4841	256	3	a	a	DET
ejpam-4841	256	4	=	=	SYM
ejpam-4841	256	5	0	0	NUM
ejpam-4841	256	6	∗	∗	NOUN
ejpam-4841	256	7	w	w	PROPN
ejpam-4841	256	8	,	,	PUNCT
ejpam-4841	256	9	b	b	X
ejpam-4841	256	10	=	=	SYM
ejpam-4841	256	11	y	y	PROPN
ejpam-4841	256	12	,	,	PUNCT
ejpam-4841	256	13	c	c	X
ejpam-4841	256	14	=	=	SYM
ejpam-4841	256	15	x	x	X
ejpam-4841	256	16	]	]	X
ejpam-4841	256	17	,	,	PUNCT
ejpam-4841	256	18	we	we	PRON
ejpam-4841	256	19	have	have	VERB
ejpam-4841	256	20	(	(	PUNCT
ejpam-4841	256	21	(	(	PUNCT
ejpam-4841	256	22	(	(	PUNCT
ejpam-4841	256	23	0	0	NUM
ejpam-4841	256	24	∗	∗	PROPN
ejpam-4841	256	25	w	w	PROPN
ejpam-4841	256	26	)	)	PUNCT
ejpam-4841	256	27	∗	∗	PROPN
ejpam-4841	256	28	y	y	NOUN
ejpam-4841	256	29	)	)	PUNCT
ejpam-4841	256	30	∗	∗	NOUN
ejpam-4841	256	31	(	(	PUNCT
ejpam-4841	256	32	0	0	NUM
ejpam-4841	256	33	∗	∗	PROPN
ejpam-4841	256	34	w	w	NOUN
ejpam-4841	256	35	)	)	PUNCT
ejpam-4841	256	36	)	)	PUNCT
ejpam-4841	257	1	∗	∗	NOUN
ejpam-4841	257	2	xw	xw	PROPN
ejpam-4841	257	3	=	=	PUNCT
ejpam-4841	257	4	(	(	PUNCT
ejpam-4841	257	5	(	(	PUNCT
ejpam-4841	257	6	(	(	PUNCT
ejpam-4841	257	7	0	0	NUM
ejpam-4841	257	8	∗	∗	PROPN
ejpam-4841	257	9	w	w	PROPN
ejpam-4841	257	10	)	)	PUNCT
ejpam-4841	257	11	∗	∗	PROPN
ejpam-4841	257	12	y	y	NOUN
ejpam-4841	257	13	)	)	PUNCT
ejpam-4841	257	14	∗	∗	NOUN
ejpam-4841	257	15	(	(	PUNCT
ejpam-4841	257	16	0	0	NUM
ejpam-4841	257	17	∗	∗	PROPN
ejpam-4841	257	18	w	w	NOUN
ejpam-4841	257	19	)	)	PUNCT
ejpam-4841	257	20	)	)	PUNCT
ejpam-4841	257	21	∗	∗	NOUN
ejpam-4841	257	22	(	(	PUNCT
ejpam-4841	257	23	(	(	PUNCT
ejpam-4841	257	24	0	0	NUM
ejpam-4841	257	25	∗	∗	PROPN
ejpam-4841	257	26	w	w	NOUN
ejpam-4841	257	27	)	)	PUNCT
ejpam-4841	257	28	∗	∗	NOUN
ejpam-4841	257	29	(	(	PUNCT
ejpam-4841	257	30	(	(	PUNCT
ejpam-4841	257	31	0	0	NUM
ejpam-4841	257	32	∗	∗	PROPN
ejpam-4841	257	33	w	w	PROPN
ejpam-4841	257	34	)	)	PUNCT
ejpam-4841	257	35	∗	∗	NOUN
ejpam-4841	257	36	x	x	NOUN
ejpam-4841	257	37	)	)	PUNCT
ejpam-4841	257	38	)	)	PUNCT
ejpam-4841	258	1	j.	j.	PROPN
ejpam-4841	258	2	adanza	adanza	PROPN
ejpam-4841	258	3	/	/	SYM
ejpam-4841	258	4	eur	eur	PROPN
ejpam-4841	258	5	.	.	PUNCT
ejpam-4841	259	1	j.	j.	PROPN
ejpam-4841	259	2	pure	pure	PROPN
ejpam-4841	259	3	appl	appl	PROPN
ejpam-4841	259	4	.	.	PROPN
ejpam-4841	259	5	math	math	PROPN
ejpam-4841	259	6	,	,	PUNCT
ejpam-4841	259	7	16	16	NUM
ejpam-4841	259	8	(	(	PUNCT
ejpam-4841	259	9	3	3	NUM
ejpam-4841	259	10	)	)	PUNCT
ejpam-4841	259	11	(	(	PUNCT
ejpam-4841	259	12	2023	2023	NUM
ejpam-4841	259	13	)	)	PUNCT
ejpam-4841	259	14	,	,	PUNCT
ejpam-4841	259	15	1663	1663	NUM
ejpam-4841	259	16	-	-	SYM
ejpam-4841	259	17	1674	1674	NUM
ejpam-4841	259	18	1669	1669	NUM
ejpam-4841	259	19	=	=	SYM
ejpam-4841	259	20	(	(	PUNCT
ejpam-4841	259	21	0	0	NUM
ejpam-4841	259	22	∗	∗	PROPN
ejpam-4841	259	23	w	w	NOUN
ejpam-4841	259	24	)	)	PUNCT
ejpam-4841	259	25	∗	∗	NOUN
ejpam-4841	259	26	(	(	PUNCT
ejpam-4841	259	27	(	(	PUNCT
ejpam-4841	259	28	0	0	NUM
ejpam-4841	259	29	∗	∗	PROPN
ejpam-4841	259	30	w	w	NOUN
ejpam-4841	259	31	)	)	PUNCT
ejpam-4841	259	32	∗	∗	NOUN
ejpam-4841	259	33	(	(	PUNCT
ejpam-4841	259	34	(	(	PUNCT
ejpam-4841	259	35	0	0	NUM
ejpam-4841	259	36	∗	∗	NUM
ejpam-4841	259	37	y	y	NOUN
ejpam-4841	259	38	)	)	PUNCT
ejpam-4841	259	39	∗	∗	NOUN
ejpam-4841	259	40	x	x	NOUN
ejpam-4841	259	41	)	)	PUNCT
ejpam-4841	259	42	)	)	PUNCT
ejpam-4841	259	43	.	.	PUNCT
ejpam-4841	260	1	thus	thus	ADV
ejpam-4841	260	2	,	,	PUNCT
ejpam-4841	260	3	[	[	X
ejpam-4841	260	4	xw	xw	PROPN
ejpam-4841	260	5	,	,	PUNCT
ejpam-4841	260	6	yw	yw	PROPN
ejpam-4841	260	7	]	]	X
ejpam-4841	260	8	=	=	PUNCT
ejpam-4841	261	1	[	[	X
ejpam-4841	261	2	(	(	PUNCT
ejpam-4841	261	3	(	(	PUNCT
ejpam-4841	261	4	(	(	PUNCT
ejpam-4841	261	5	0	0	NUM
ejpam-4841	261	6	∗	∗	PROPN
ejpam-4841	261	7	w	w	PROPN
ejpam-4841	261	8	)	)	PUNCT
ejpam-4841	261	9	∗	∗	NOUN
ejpam-4841	261	10	x	x	NOUN
ejpam-4841	261	11	)	)	PUNCT
ejpam-4841	261	12	∗	∗	NOUN
ejpam-4841	261	13	(	(	PUNCT
ejpam-4841	261	14	0	0	NUM
ejpam-4841	261	15	∗	∗	PROPN
ejpam-4841	261	16	w	w	NOUN
ejpam-4841	261	17	)	)	PUNCT
ejpam-4841	261	18	)	)	PUNCT
ejpam-4841	261	19	∗	∗	NOUN
ejpam-4841	261	20	yw]︸	yw]︸	VERB
ejpam-4841	262	1	︷︷	︷︷	PROPN
ejpam-4841	262	2	︸	︸	X
ejpam-4841	262	3	(	(	PUNCT
ejpam-4841	262	4	1	1	X
ejpam-4841	262	5	)	)	PUNCT
ejpam-4841	262	6	∗	∗	NOUN
ejpam-4841	262	7	[	[	X
ejpam-4841	262	8	(	(	PUNCT
ejpam-4841	262	9	(	(	PUNCT
ejpam-4841	262	10	(	(	PUNCT
ejpam-4841	262	11	0	0	NUM
ejpam-4841	262	12	∗	∗	PROPN
ejpam-4841	262	13	w	w	PROPN
ejpam-4841	262	14	)	)	PUNCT
ejpam-4841	262	15	∗	∗	PROPN
ejpam-4841	262	16	y	y	NOUN
ejpam-4841	262	17	)	)	PUNCT
ejpam-4841	262	18	∗	∗	NOUN
ejpam-4841	262	19	(	(	PUNCT
ejpam-4841	262	20	0	0	NUM
ejpam-4841	262	21	∗	∗	PROPN
ejpam-4841	262	22	w	w	NOUN
ejpam-4841	262	23	)	)	PUNCT
ejpam-4841	262	24	)	)	PUNCT
ejpam-4841	262	25	∗	∗	NOUN
ejpam-4841	262	26	xw]︸	xw]︸	PUNCT
ejpam-4841	263	1	︷︷	︷︷	PROPN
ejpam-4841	263	2	︸	︸	X
ejpam-4841	263	3	(	(	PUNCT
ejpam-4841	263	4	2	2	NUM
ejpam-4841	263	5	)	)	PUNCT
ejpam-4841	263	6	=	=	NOUN
ejpam-4841	264	1	[	[	X
ejpam-4841	264	2	(	(	PUNCT
ejpam-4841	264	3	0	0	NUM
ejpam-4841	264	4	∗	∗	PROPN
ejpam-4841	264	5	w	w	NOUN
ejpam-4841	264	6	)	)	PUNCT
ejpam-4841	264	7	∗	∗	NOUN
ejpam-4841	264	8	(	(	PUNCT
ejpam-4841	264	9	(	(	PUNCT
ejpam-4841	264	10	0	0	NUM
ejpam-4841	264	11	∗	∗	PROPN
ejpam-4841	264	12	w	w	NOUN
ejpam-4841	264	13	)	)	PUNCT
ejpam-4841	264	14	∗	∗	NOUN
ejpam-4841	264	15	(	(	PUNCT
ejpam-4841	264	16	(	(	PUNCT
ejpam-4841	264	17	0	0	NUM
ejpam-4841	264	18	∗	∗	NOUN
ejpam-4841	264	19	x	x	NOUN
ejpam-4841	264	20	)	)	PUNCT
ejpam-4841	264	21	∗	∗	PROPN
ejpam-4841	264	22	y	y	PROPN
ejpam-4841	264	23	)	)	PUNCT
ejpam-4841	264	24	)	)	PUNCT
ejpam-4841	264	25	]	]	PUNCT
ejpam-4841	265	1	∗	∗	NOUN
ejpam-4841	265	2	[	[	X
ejpam-4841	265	3	(	(	PUNCT
ejpam-4841	265	4	0	0	NUM
ejpam-4841	265	5	∗	∗	PROPN
ejpam-4841	265	6	w	w	NOUN
ejpam-4841	265	7	)	)	PUNCT
ejpam-4841	265	8	∗	∗	NOUN
ejpam-4841	265	9	(	(	PUNCT
ejpam-4841	265	10	(	(	PUNCT
ejpam-4841	265	11	0	0	NUM
ejpam-4841	265	12	∗	∗	PROPN
ejpam-4841	265	13	w	w	NOUN
ejpam-4841	265	14	)	)	PUNCT
ejpam-4841	265	15	∗	∗	NOUN
ejpam-4841	265	16	(	(	PUNCT
ejpam-4841	265	17	(	(	PUNCT
ejpam-4841	265	18	0	0	NUM
ejpam-4841	265	19	∗	∗	NUM
ejpam-4841	265	20	y	y	NOUN
ejpam-4841	265	21	)	)	PUNCT
ejpam-4841	265	22	∗	∗	NOUN
ejpam-4841	265	23	x	x	NOUN
ejpam-4841	265	24	)	)	PUNCT
ejpam-4841	265	25	)	)	PUNCT
ejpam-4841	265	26	]	]	PUNCT
ejpam-4841	265	27	.	.	PUNCT
ejpam-4841	266	1	applying	apply	VERB
ejpam-4841	266	2	lemma	lemma	PROPN
ejpam-4841	266	3	4(ii	4(ii	PROPN
ejpam-4841	266	4	)	)	PUNCT
ejpam-4841	267	1	[	[	X
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ejpam-4841	267	3	a	a	DET
ejpam-4841	267	4	=	=	SYM
ejpam-4841	267	5	0	0	NUM
ejpam-4841	267	6	∗	∗	NOUN
ejpam-4841	267	7	w	w	PROPN
ejpam-4841	267	8	,	,	PUNCT
ejpam-4841	267	9	b	b	X
ejpam-4841	267	10	=	=	SYM
ejpam-4841	267	11	(	(	PUNCT
ejpam-4841	267	12	0	0	NUM
ejpam-4841	267	13	∗	∗	NOUN
ejpam-4841	267	14	x	x	NOUN
ejpam-4841	267	15	)	)	PUNCT
ejpam-4841	267	16	∗	∗	PROPN
ejpam-4841	267	17	y	y	PROPN
ejpam-4841	267	18	,	,	PUNCT
ejpam-4841	267	19	c	c	X
ejpam-4841	267	20	=	=	SYM
ejpam-4841	267	21	(	(	PUNCT
ejpam-4841	267	22	0	0	NUM
ejpam-4841	267	23	∗	∗	PROPN
ejpam-4841	267	24	y	y	NOUN
ejpam-4841	267	25	)	)	PUNCT
ejpam-4841	267	26	∗	∗	NOUN
ejpam-4841	267	27	x	x	NOUN
ejpam-4841	267	28	]	]	X
ejpam-4841	267	29	,	,	PUNCT
ejpam-4841	267	30	we	we	PRON
ejpam-4841	267	31	have	have	VERB
ejpam-4841	267	32	[	[	X
ejpam-4841	267	33	xw	xw	PROPN
ejpam-4841	267	34	,	,	PUNCT
ejpam-4841	267	35	yw	yw	PROPN
ejpam-4841	267	36	]	]	X
ejpam-4841	267	37	=	=	PUNCT
ejpam-4841	268	1	[	[	X
ejpam-4841	268	2	(	(	PUNCT
ejpam-4841	268	3	0	0	NUM
ejpam-4841	268	4	∗	∗	PROPN
ejpam-4841	268	5	w	w	NOUN
ejpam-4841	268	6	)	)	PUNCT
ejpam-4841	268	7	∗	∗	NOUN
ejpam-4841	268	8	(	(	PUNCT
ejpam-4841	268	9	(	(	PUNCT
ejpam-4841	268	10	0	0	NUM
ejpam-4841	268	11	∗	∗	PROPN
ejpam-4841	268	12	w	w	NOUN
ejpam-4841	268	13	)	)	PUNCT
ejpam-4841	268	14	∗	∗	NOUN
ejpam-4841	268	15	(	(	PUNCT
ejpam-4841	268	16	(	(	PUNCT
ejpam-4841	268	17	0	0	NUM
ejpam-4841	268	18	∗	∗	NOUN
ejpam-4841	268	19	x	x	NOUN
ejpam-4841	268	20	)	)	PUNCT
ejpam-4841	268	21	∗	∗	PROPN
ejpam-4841	268	22	y	y	PROPN
ejpam-4841	268	23	)	)	PUNCT
ejpam-4841	268	24	)	)	PUNCT
ejpam-4841	268	25	]	]	PUNCT
ejpam-4841	269	1	∗	∗	NOUN
ejpam-4841	269	2	[	[	X
ejpam-4841	269	3	(	(	PUNCT
ejpam-4841	269	4	0	0	NUM
ejpam-4841	269	5	∗	∗	PROPN
ejpam-4841	269	6	w	w	NOUN
ejpam-4841	269	7	)	)	PUNCT
ejpam-4841	269	8	∗	∗	NOUN
ejpam-4841	269	9	(	(	PUNCT
ejpam-4841	269	10	(	(	PUNCT
ejpam-4841	269	11	0	0	NUM
ejpam-4841	269	12	∗	∗	PROPN
ejpam-4841	269	13	w	w	NOUN
ejpam-4841	269	14	)	)	PUNCT
ejpam-4841	269	15	∗	∗	NOUN
ejpam-4841	269	16	(	(	PUNCT
ejpam-4841	269	17	(	(	PUNCT
ejpam-4841	269	18	0	0	NUM
ejpam-4841	269	19	∗	∗	NUM
ejpam-4841	269	20	y	y	NOUN
ejpam-4841	269	21	)	)	PUNCT
ejpam-4841	269	22	∗	∗	NOUN
ejpam-4841	269	23	x	x	NOUN
ejpam-4841	269	24	)	)	PUNCT
ejpam-4841	269	25	)	)	PUNCT
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ejpam-4841	270	1	=	=	PUNCT
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ejpam-4841	270	3	0	0	NUM
ejpam-4841	270	4	∗	∗	PROPN
ejpam-4841	270	5	w	w	NOUN
ejpam-4841	270	6	)	)	PUNCT
ejpam-4841	270	7	∗	∗	NOUN
ejpam-4841	270	8	[	[	X
ejpam-4841	270	9	(	(	PUNCT
ejpam-4841	270	10	0	0	NUM
ejpam-4841	270	11	∗	∗	PROPN
ejpam-4841	270	12	w	w	NOUN
ejpam-4841	270	13	)	)	PUNCT
ejpam-4841	270	14	∗	∗	NOUN
ejpam-4841	270	15	(	(	PUNCT
ejpam-4841	270	16	(	(	PUNCT
ejpam-4841	270	17	(	(	PUNCT
ejpam-4841	270	18	0	0	NUM
ejpam-4841	270	19	∗	∗	NOUN
ejpam-4841	270	20	x	x	NOUN
ejpam-4841	270	21	)	)	PUNCT
ejpam-4841	270	22	∗	∗	PROPN
ejpam-4841	270	23	y	y	NOUN
ejpam-4841	270	24	)	)	PUNCT
ejpam-4841	270	25	∗	∗	NOUN
ejpam-4841	270	26	(	(	PUNCT
ejpam-4841	270	27	(	(	PUNCT
ejpam-4841	270	28	0	0	NUM
ejpam-4841	270	29	∗	∗	NUM
ejpam-4841	270	30	y	y	NOUN
ejpam-4841	270	31	)	)	PUNCT
ejpam-4841	270	32	∗	∗	NOUN
ejpam-4841	270	33	x	x	NOUN
ejpam-4841	270	34	)	)	PUNCT
ejpam-4841	270	35	)	)	PUNCT
ejpam-4841	270	36	]	]	PUNCT
ejpam-4841	271	1	=	=	PUNCT
ejpam-4841	271	2	(	(	PUNCT
ejpam-4841	271	3	0	0	NUM
ejpam-4841	271	4	∗	∗	PROPN
ejpam-4841	271	5	w	w	NOUN
ejpam-4841	271	6	)	)	PUNCT
ejpam-4841	271	7	∗	∗	NOUN
ejpam-4841	271	8	(	(	PUNCT
ejpam-4841	271	9	(	(	PUNCT
ejpam-4841	271	10	0	0	NUM
ejpam-4841	271	11	∗	∗	PROPN
ejpam-4841	271	12	w	w	NOUN
ejpam-4841	271	13	)	)	PUNCT
ejpam-4841	271	14	∗	∗	NOUN
ejpam-4841	272	1	[	[	X
ejpam-4841	272	2	x	x	X
ejpam-4841	272	3	,	,	PUNCT
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ejpam-4841	272	5	]	]	X
ejpam-4841	272	6	)	)	PUNCT
ejpam-4841	272	7	=	=	PUNCT
ejpam-4841	273	1	[	[	X
ejpam-4841	273	2	x	x	X
ejpam-4841	273	3	,	,	PUNCT
ejpam-4841	273	4	y]w	y]w	PROPN
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ejpam-4841	273	6	theorem	theorem	PROPN
ejpam-4841	273	7	2	2	NUM
ejpam-4841	273	8	.	.	PUNCT
ejpam-4841	274	1	let	let	VERB
ejpam-4841	274	2	w	w	NOUN
ejpam-4841	274	3	,	,	PUNCT
ejpam-4841	274	4	x	x	NOUN
ejpam-4841	274	5	,	,	PUNCT
ejpam-4841	274	6	y	y	PROPN
ejpam-4841	274	7	,	,	PUNCT
ejpam-4841	274	8	z	z	PROPN
ejpam-4841	274	9	∈	∈	PROPN
ejpam-4841	275	1	x.	x.	NOUN
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ejpam-4841	276	2	[	[	X
ejpam-4841	276	3	x	x	X
ejpam-4841	276	4	∗	∗	NOUN
ejpam-4841	276	5	(	(	PUNCT
ejpam-4841	276	6	0	0	NUM
ejpam-4841	276	7	∗	∗	PROPN
ejpam-4841	276	8	y	y	PROPN
ejpam-4841	276	9	)	)	PUNCT
ejpam-4841	276	10	,	,	PUNCT
ejpam-4841	277	1	z	z	X
ejpam-4841	277	2	]	]	X
ejpam-4841	277	3	=	=	PUNCT
ejpam-4841	278	1	[	[	X
ejpam-4841	278	2	x	x	X
ejpam-4841	278	3	,	,	PUNCT
ejpam-4841	278	4	z]y	z]y	NOUN
ejpam-4841	278	5	∗	∗	NOUN
ejpam-4841	279	1	[	[	X
ejpam-4841	279	2	z	z	X
ejpam-4841	279	3	,	,	PUNCT
ejpam-4841	279	4	y	y	PROPN
ejpam-4841	279	5	]	]	PUNCT
ejpam-4841	279	6	.	.	PUNCT
ejpam-4841	280	1	proof	proof	NOUN
ejpam-4841	280	2	.	.	PUNCT
ejpam-4841	281	1	by	by	ADP
ejpam-4841	281	2	(	(	PUNCT
ejpam-4841	281	3	iii	iii	NOUN
ejpam-4841	281	4	)	)	PUNCT
ejpam-4841	281	5	and	and	CCONJ
ejpam-4841	281	6	p2	p2	NOUN
ejpam-4841	281	7	,	,	PUNCT
ejpam-4841	281	8	we	we	PRON
ejpam-4841	281	9	have	have	VERB
ejpam-4841	281	10	[	[	X
ejpam-4841	281	11	x	x	X
ejpam-4841	281	12	,	,	PUNCT
ejpam-4841	281	13	z]y	z]y	NOUN
ejpam-4841	281	14	∗	∗	NOUN
ejpam-4841	282	1	[	[	X
ejpam-4841	282	2	z	z	X
ejpam-4841	282	3	,	,	PUNCT
ejpam-4841	282	4	y	y	PROPN
ejpam-4841	282	5	]	]	X
ejpam-4841	282	6	=	=	SYM
ejpam-4841	282	7	(	(	PUNCT
ejpam-4841	282	8	(	(	PUNCT
ejpam-4841	282	9	0	0	NUM
ejpam-4841	282	10	∗	∗	PROPN
ejpam-4841	282	11	y	y	NOUN
ejpam-4841	282	12	)	)	PUNCT
ejpam-4841	282	13	∗	∗	NOUN
ejpam-4841	282	14	(	(	PUNCT
ejpam-4841	282	15	(	(	PUNCT
ejpam-4841	282	16	0	0	NUM
ejpam-4841	282	17	∗	∗	NUM
ejpam-4841	282	18	y	y	NOUN
ejpam-4841	282	19	)	)	PUNCT
ejpam-4841	282	20	∗	∗	NOUN
ejpam-4841	283	1	[	[	X
ejpam-4841	283	2	x	x	X
ejpam-4841	283	3	,	,	PUNCT
ejpam-4841	283	4	z	z	NOUN
ejpam-4841	283	5	]	]	X
ejpam-4841	283	6	)	)	PUNCT
ejpam-4841	283	7	)	)	PUNCT
ejpam-4841	283	8	∗	∗	NOUN
ejpam-4841	284	1	[	[	X
ejpam-4841	284	2	z	z	X
ejpam-4841	284	3	,	,	PUNCT
ejpam-4841	284	4	y	y	PROPN
ejpam-4841	284	5	]	]	X
ejpam-4841	284	6	=	=	SYM
ejpam-4841	284	7	(	(	PUNCT
ejpam-4841	284	8	0	0	NUM
ejpam-4841	284	9	∗	∗	PROPN
ejpam-4841	284	10	y	y	NOUN
ejpam-4841	284	11	)	)	PUNCT
ejpam-4841	284	12	∗	∗	NOUN
ejpam-4841	284	13	(	(	PUNCT
ejpam-4841	284	14	[	[	X
ejpam-4841	284	15	z	z	X
ejpam-4841	284	16	,	,	PUNCT
ejpam-4841	284	17	y	y	PROPN
ejpam-4841	284	18	]	]	X
ejpam-4841	284	19	∗	∗	NOUN
ejpam-4841	284	20	(	(	PUNCT
ejpam-4841	284	21	0	0	NUM
ejpam-4841	284	22	∗	∗	NOUN
ejpam-4841	284	23	(	(	PUNCT
ejpam-4841	284	24	(	(	PUNCT
ejpam-4841	284	25	0	0	NUM
ejpam-4841	284	26	∗	∗	NUM
ejpam-4841	284	27	y	y	NOUN
ejpam-4841	284	28	)	)	PUNCT
ejpam-4841	284	29	∗	∗	NOUN
ejpam-4841	285	1	[	[	X
ejpam-4841	285	2	x	x	X
ejpam-4841	285	3	,	,	PUNCT
ejpam-4841	285	4	z	z	NOUN
ejpam-4841	285	5	]	]	X
ejpam-4841	285	6	)	)	PUNCT
ejpam-4841	285	7	)	)	PUNCT
ejpam-4841	285	8	)	)	PUNCT
ejpam-4841	286	1	=	=	PUNCT
ejpam-4841	286	2	(	(	PUNCT
ejpam-4841	286	3	0	0	NUM
ejpam-4841	286	4	∗	∗	PROPN
ejpam-4841	286	5	y	y	NOUN
ejpam-4841	286	6	)	)	PUNCT
ejpam-4841	286	7	∗	∗	NOUN
ejpam-4841	286	8	(	(	PUNCT
ejpam-4841	286	9	[	[	X
ejpam-4841	286	10	z	z	X
ejpam-4841	286	11	,	,	PUNCT
ejpam-4841	286	12	y	y	PROPN
ejpam-4841	286	13	]	]	X
ejpam-4841	286	14	∗	∗	NOUN
ejpam-4841	286	15	(	(	PUNCT
ejpam-4841	286	16	[	[	X
ejpam-4841	286	17	x	x	X
ejpam-4841	286	18	,	,	PUNCT
ejpam-4841	286	19	z	z	X
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ejpam-4841	286	21	∗	∗	NOUN
ejpam-4841	286	22	(	(	PUNCT
ejpam-4841	286	23	0	0	NUM
ejpam-4841	286	24	∗	∗	PROPN
ejpam-4841	286	25	y	y	PROPN
ejpam-4841	286	26	)	)	PUNCT
ejpam-4841	286	27	)	)	PUNCT
ejpam-4841	286	28	)	)	PUNCT
ejpam-4841	287	1	=	=	PUNCT
ejpam-4841	287	2	(	(	PUNCT
ejpam-4841	287	3	0	0	NUM
ejpam-4841	287	4	∗	∗	PROPN
ejpam-4841	287	5	y	y	NOUN
ejpam-4841	287	6	)	)	PUNCT
ejpam-4841	287	7	∗	∗	NOUN
ejpam-4841	288	1	[	[	X
ejpam-4841	288	2	(	(	PUNCT
ejpam-4841	288	3	(	(	PUNCT
ejpam-4841	288	4	(	(	PUNCT
ejpam-4841	288	5	0	0	NUM
ejpam-4841	288	6	∗	∗	NOUN
ejpam-4841	288	7	z	z	NOUN
ejpam-4841	288	8	)	)	PUNCT
ejpam-4841	288	9	∗	∗	PROPN
ejpam-4841	288	10	y	y	NOUN
ejpam-4841	288	11	)	)	PUNCT
ejpam-4841	288	12	∗	∗	NOUN
ejpam-4841	288	13	(	(	PUNCT
ejpam-4841	288	14	(	(	PUNCT
ejpam-4841	288	15	0	0	NUM
ejpam-4841	288	16	∗	∗	NUM
ejpam-4841	288	17	y	y	NOUN
ejpam-4841	288	18	)	)	PUNCT
ejpam-4841	288	19	∗	∗	NOUN
ejpam-4841	288	20	z	z	NOUN
ejpam-4841	288	21	)	)	PUNCT
ejpam-4841	288	22	)	)	PUNCT
ejpam-4841	288	23	∗	∗	NOUN
ejpam-4841	288	24	(	(	PUNCT
ejpam-4841	288	25	(	(	PUNCT
ejpam-4841	288	26	(	(	PUNCT
ejpam-4841	288	27	(	(	PUNCT
ejpam-4841	288	28	0	0	NUM
ejpam-4841	288	29	∗	∗	NOUN
ejpam-4841	288	30	x	x	NOUN
ejpam-4841	288	31	)	)	PUNCT
ejpam-4841	288	32	∗	∗	PROPN
ejpam-4841	288	33	z	z	NOUN
ejpam-4841	288	34	)	)	PUNCT
ejpam-4841	288	35	∗	∗	NOUN
ejpam-4841	288	36	(	(	PUNCT
ejpam-4841	288	37	(	(	PUNCT
ejpam-4841	288	38	0	0	NUM
ejpam-4841	288	39	∗	∗	NOUN
ejpam-4841	288	40	z	z	NOUN
ejpam-4841	288	41	)	)	PUNCT
ejpam-4841	288	42	∗	∗	NOUN
ejpam-4841	288	43	x	x	NOUN
ejpam-4841	288	44	)	)	PUNCT
ejpam-4841	288	45	)	)	PUNCT
ejpam-4841	288	46	∗	∗	NOUN
ejpam-4841	288	47	(	(	PUNCT
ejpam-4841	288	48	0	0	NUM
ejpam-4841	288	49	∗	∗	PROPN
ejpam-4841	288	50	y	y	PROPN
ejpam-4841	288	51	)	)	PUNCT
ejpam-4841	288	52	)	)	PUNCT
ejpam-4841	288	53	)	)	PUNCT
ejpam-4841	288	54	]	]	PUNCT
ejpam-4841	288	55	for	for	ADP
ejpam-4841	288	56	simplicity	simplicity	NOUN
ejpam-4841	288	57	,	,	PUNCT
ejpam-4841	288	58	we	we	PRON
ejpam-4841	288	59	write	write	VERB
ejpam-4841	288	60	x′	x′	PROPN
ejpam-4841	289	1	=	=	SYM
ejpam-4841	289	2	0	0	NUM
ejpam-4841	289	3	∗x	∗x	NOUN
ejpam-4841	289	4	,	,	PUNCT
ejpam-4841	289	5	y′	y′	NOUN
ejpam-4841	289	6	=	=	SYM
ejpam-4841	289	7	0	0	NUM
ejpam-4841	289	8	∗	∗	NOUN
ejpam-4841	289	9	y	y	PROPN
ejpam-4841	289	10	,	,	PUNCT
ejpam-4841	289	11	z′	z′	PROPN
ejpam-4841	289	12	=	=	SYM
ejpam-4841	289	13	0	0	NUM
ejpam-4841	289	14	∗	∗	NOUN
ejpam-4841	289	15	z.	z.	PROPN
ejpam-4841	290	1	thus	thus	ADV
ejpam-4841	290	2	,	,	PUNCT
ejpam-4841	290	3	by	by	ADP
ejpam-4841	290	4	(	(	PUNCT
ejpam-4841	290	5	iii	iii	NOUN
ejpam-4841	290	6	)	)	PUNCT
ejpam-4841	290	7	,	,	PUNCT
ejpam-4841	290	8	p1	p1	NOUN
ejpam-4841	290	9	,	,	PUNCT
ejpam-4841	290	10	and	and	CCONJ
ejpam-4841	290	11	p2	p2	NOUN
ejpam-4841	290	12	,	,	PUNCT
ejpam-4841	290	13	we	we	PRON
ejpam-4841	290	14	get	get	VERB
ejpam-4841	290	15	[	[	X
ejpam-4841	290	16	x	x	NOUN
ejpam-4841	290	17	,	,	PUNCT
ejpam-4841	290	18	z]y	z]y	NOUN
ejpam-4841	290	19	∗	∗	NOUN
ejpam-4841	291	1	[	[	X
ejpam-4841	291	2	z	z	X
ejpam-4841	291	3	,	,	PUNCT
ejpam-4841	291	4	y	y	PROPN
ejpam-4841	291	5	]	]	X
ejpam-4841	291	6	=	=	PUNCT
ejpam-4841	291	7	y′	y′	NOUN
ejpam-4841	291	8	∗	∗	NOUN
ejpam-4841	291	9	[	[	X
ejpam-4841	291	10	(	(	PUNCT
ejpam-4841	291	11	(	(	PUNCT
ejpam-4841	291	12	z′	z′	NUM
ejpam-4841	291	13	∗	∗	NOUN
ejpam-4841	291	14	y	y	NOUN
ejpam-4841	291	15	)	)	PUNCT
ejpam-4841	291	16	∗	∗	NOUN
ejpam-4841	291	17	(	(	PUNCT
ejpam-4841	291	18	y′	y′	X
ejpam-4841	291	19	∗	∗	NOUN
ejpam-4841	291	20	z	z	NOUN
ejpam-4841	291	21	)	)	PUNCT
ejpam-4841	291	22	)	)	PUNCT
ejpam-4841	291	23	∗	∗	NOUN
ejpam-4841	291	24	(	(	PUNCT
ejpam-4841	291	25	(	(	PUNCT
ejpam-4841	291	26	(	(	PUNCT
ejpam-4841	291	27	x′	x′	PROPN
ejpam-4841	291	28	∗	∗	PROPN
ejpam-4841	291	29	z	z	PROPN
ejpam-4841	291	30	)	)	PUNCT
ejpam-4841	291	31	∗	∗	NOUN
ejpam-4841	291	32	(	(	PUNCT
ejpam-4841	291	33	z′	z′	NUM
ejpam-4841	291	34	∗	∗	NOUN
ejpam-4841	291	35	x	x	NOUN
ejpam-4841	291	36	)	)	PUNCT
ejpam-4841	291	37	)	)	PUNCT
ejpam-4841	291	38	∗	∗	NOUN
ejpam-4841	291	39	y′	y′	NUM
ejpam-4841	291	40	)	)	PUNCT
ejpam-4841	291	41	]	]	PUNCT
ejpam-4841	292	1	=	=	PUNCT
ejpam-4841	292	2	y′	y′	NOUN
ejpam-4841	292	3	∗	∗	NOUN
ejpam-4841	292	4	[	[	X
ejpam-4841	292	5	(	(	PUNCT
ejpam-4841	292	6	z′	z′	NUM
ejpam-4841	292	7	∗	∗	NOUN
ejpam-4841	292	8	(	(	PUNCT
ejpam-4841	292	9	(	(	PUNCT
ejpam-4841	292	10	y′	y′	NOUN
ejpam-4841	292	11	∗	∗	NOUN
ejpam-4841	292	12	z	z	NOUN
ejpam-4841	292	13	)	)	PUNCT
ejpam-4841	292	14	∗	∗	NOUN
ejpam-4841	292	15	y′	y′	NUM
ejpam-4841	292	16	)	)	PUNCT
ejpam-4841	292	17	)	)	PUNCT
ejpam-4841	292	18	∗	∗	NOUN
ejpam-4841	292	19	(	(	PUNCT
ejpam-4841	292	20	(	(	PUNCT
ejpam-4841	292	21	(	(	PUNCT
ejpam-4841	292	22	x′	x′	PROPN
ejpam-4841	292	23	∗	∗	PROPN
ejpam-4841	292	24	z	z	PROPN
ejpam-4841	292	25	)	)	PUNCT
ejpam-4841	292	26	∗	∗	NOUN
ejpam-4841	292	27	(	(	PUNCT
ejpam-4841	292	28	z′	z′	NUM
ejpam-4841	292	29	∗	∗	NOUN
ejpam-4841	292	30	x	x	NOUN
ejpam-4841	292	31	)	)	PUNCT
ejpam-4841	292	32	)	)	PUNCT
ejpam-4841	292	33	∗	∗	NOUN
ejpam-4841	292	34	y′	y′	NUM
ejpam-4841	292	35	)	)	PUNCT
ejpam-4841	292	36	]	]	PUNCT
ejpam-4841	293	1	=	=	PUNCT
ejpam-4841	293	2	y′	y′	NOUN
ejpam-4841	293	3	∗	∗	NOUN
ejpam-4841	293	4	[	[	X
ejpam-4841	293	5	z′	z′	NUM
ejpam-4841	293	6	∗	∗	NOUN
ejpam-4841	293	7	(	(	PUNCT
ejpam-4841	293	8	(	(	PUNCT
ejpam-4841	293	9	(	(	PUNCT
ejpam-4841	293	10	(	(	PUNCT
ejpam-4841	293	11	x′	x′	PROPN
ejpam-4841	293	12	∗	∗	PROPN
ejpam-4841	293	13	z	z	PROPN
ejpam-4841	293	14	)	)	PUNCT
ejpam-4841	293	15	∗	∗	NOUN
ejpam-4841	293	16	(	(	PUNCT
ejpam-4841	293	17	z′	z′	NUM
ejpam-4841	293	18	∗	∗	NOUN
ejpam-4841	293	19	x	x	NOUN
ejpam-4841	293	20	)	)	PUNCT
ejpam-4841	293	21	)	)	PUNCT
ejpam-4841	293	22	∗	∗	NOUN
ejpam-4841	293	23	y′	y′	NUM
ejpam-4841	293	24	)	)	PUNCT
ejpam-4841	293	25	∗	∗	NOUN
ejpam-4841	293	26	(	(	PUNCT
ejpam-4841	293	27	y′	y′	NOUN
ejpam-4841	293	28	∗	∗	NOUN
ejpam-4841	293	29	(	(	PUNCT
ejpam-4841	293	30	y′	y′	X
ejpam-4841	293	31	∗	∗	NOUN
ejpam-4841	293	32	z	z	NOUN
ejpam-4841	293	33	)	)	PUNCT
ejpam-4841	293	34	)	)	PUNCT
ejpam-4841	293	35	)	)	PUNCT
ejpam-4841	293	36	]	]	PUNCT
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ejpam-4841	293	38	lemma	lemma	PROPN
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ejpam-4841	293	40	)	)	PUNCT
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ejpam-4841	294	5	x′	x′	PROPN
ejpam-4841	294	6	,	,	PUNCT
ejpam-4841	294	7	b	b	X
ejpam-4841	294	8	=	=	SYM
ejpam-4841	294	9	z	z	PROPN
ejpam-4841	294	10	,	,	PUNCT
ejpam-4841	294	11	c	c	X
ejpam-4841	294	12	=	=	SYM
ejpam-4841	294	13	y′	y′	PROPN
ejpam-4841	294	14	]	]	PUNCT
ejpam-4841	294	15	,	,	PUNCT
ejpam-4841	294	16	p2	p2	NOUN
ejpam-4841	294	17	,	,	PUNCT
ejpam-4841	294	18	and	and	CCONJ
ejpam-4841	294	19	(	(	PUNCT
ejpam-4841	294	20	iii	iii	NOUN
ejpam-4841	294	21	)	)	PUNCT
ejpam-4841	294	22	,	,	PUNCT
ejpam-4841	294	23	we	we	PRON
ejpam-4841	294	24	get	get	VERB
ejpam-4841	294	25	[	[	X
ejpam-4841	294	26	x	x	NOUN
ejpam-4841	294	27	,	,	PUNCT
ejpam-4841	294	28	z]y	z]y	NOUN
ejpam-4841	294	29	∗	∗	NOUN
ejpam-4841	295	1	[	[	X
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ejpam-4841	295	3	,	,	PUNCT
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ejpam-4841	295	6	=	=	PUNCT
ejpam-4841	295	7	y′	y′	NOUN
ejpam-4841	295	8	∗	∗	NOUN
ejpam-4841	295	9	[	[	X
ejpam-4841	295	10	z′	z′	NUM
ejpam-4841	295	11	∗	∗	NOUN
ejpam-4841	295	12	(	(	PUNCT
ejpam-4841	295	13	(	(	PUNCT
ejpam-4841	295	14	x′	x′	PROPN
ejpam-4841	295	15	∗	∗	PROPN
ejpam-4841	295	16	z	z	PROPN
ejpam-4841	295	17	)	)	PUNCT
ejpam-4841	295	18	∗	∗	NOUN
ejpam-4841	295	19	(	(	PUNCT
ejpam-4841	295	20	y′	y′	NOUN
ejpam-4841	295	21	∗	∗	NOUN
ejpam-4841	295	22	x	x	NOUN
ejpam-4841	295	23	)	)	PUNCT
ejpam-4841	295	24	)	)	PUNCT
ejpam-4841	295	25	]	]	PUNCT
ejpam-4841	296	1	=	=	PUNCT
ejpam-4841	296	2	y′	y′	NOUN
ejpam-4841	296	3	∗	∗	NOUN
ejpam-4841	296	4	[	[	X
ejpam-4841	296	5	z′	z′	NUM
ejpam-4841	296	6	∗	∗	NOUN
ejpam-4841	296	7	(	(	PUNCT
ejpam-4841	296	8	(	(	PUNCT
ejpam-4841	296	9	x′	x′	PROPN
ejpam-4841	296	10	∗	∗	PROPN
ejpam-4841	296	11	z	z	PROPN
ejpam-4841	296	12	)	)	PUNCT
ejpam-4841	296	13	∗	∗	NOUN
ejpam-4841	296	14	(	(	PUNCT
ejpam-4841	296	15	0	0	NUM
ejpam-4841	296	16	∗	∗	NOUN
ejpam-4841	296	17	(	(	PUNCT
ejpam-4841	296	18	x	x	X
ejpam-4841	296	19	∗	∗	NOUN
ejpam-4841	296	20	y′	y′	NUM
ejpam-4841	296	21	)	)	PUNCT
ejpam-4841	296	22	)	)	PUNCT
ejpam-4841	296	23	)	)	PUNCT
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ejpam-4841	297	1	=	=	PUNCT
ejpam-4841	297	2	y′	y′	NOUN
ejpam-4841	297	3	∗	∗	NOUN
ejpam-4841	297	4	[	[	X
ejpam-4841	297	5	(	(	PUNCT
ejpam-4841	297	6	z′	z′	NUM
ejpam-4841	297	7	∗	∗	NOUN
ejpam-4841	297	8	(	(	PUNCT
ejpam-4841	297	9	x	x	X
ejpam-4841	297	10	∗	∗	NOUN
ejpam-4841	297	11	y′	y′	NUM
ejpam-4841	297	12	)	)	PUNCT
ejpam-4841	297	13	)	)	PUNCT
ejpam-4841	297	14	∗	∗	NOUN
ejpam-4841	297	15	(	(	PUNCT
ejpam-4841	297	16	x′	x′	PROPN
ejpam-4841	297	17	∗	∗	PROPN
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ejpam-4841	298	1	=	=	PUNCT
ejpam-4841	298	2	y′	y′	NOUN
ejpam-4841	298	3	∗	∗	NOUN
ejpam-4841	298	4	[	[	X
ejpam-4841	298	5	(	(	PUNCT
ejpam-4841	298	6	z′	z′	NUM
ejpam-4841	298	7	∗	∗	NOUN
ejpam-4841	298	8	(	(	PUNCT
ejpam-4841	298	9	x	x	X
ejpam-4841	298	10	∗	∗	NOUN
ejpam-4841	298	11	y′	y′	NUM
ejpam-4841	298	12	)	)	PUNCT
ejpam-4841	298	13	)	)	PUNCT
ejpam-4841	298	14	∗	∗	NOUN
ejpam-4841	298	15	(	(	PUNCT
ejpam-4841	298	16	0	0	NUM
ejpam-4841	298	17	∗	∗	NOUN
ejpam-4841	298	18	(	(	PUNCT
ejpam-4841	298	19	z	z	NOUN
ejpam-4841	298	20	∗	∗	PROPN
ejpam-4841	298	21	x′	x′	NUM
ejpam-4841	298	22	)	)	PUNCT
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ejpam-4841	299	1	=	=	PUNCT
ejpam-4841	299	2	(	(	PUNCT
ejpam-4841	299	3	y′	y′	NOUN
ejpam-4841	299	4	∗	∗	NOUN
ejpam-4841	299	5	(	(	PUNCT
ejpam-4841	299	6	z	z	NOUN
ejpam-4841	299	7	∗	∗	PROPN
ejpam-4841	299	8	x′	x′	NUM
ejpam-4841	299	9	)	)	PUNCT
ejpam-4841	299	10	)	)	PUNCT
ejpam-4841	299	11	∗	∗	NOUN
ejpam-4841	299	12	(	(	PUNCT
ejpam-4841	299	13	z′	z′	NUM
ejpam-4841	299	14	∗	∗	NOUN
ejpam-4841	299	15	(	(	PUNCT
ejpam-4841	299	16	x	x	X
ejpam-4841	299	17	∗	∗	NOUN
ejpam-4841	299	18	y′	y′	NUM
ejpam-4841	299	19	)	)	PUNCT
ejpam-4841	299	20	)	)	PUNCT
ejpam-4841	300	1	=	=	SYM
ejpam-4841	300	2	(	(	PUNCT
ejpam-4841	300	3	(	(	PUNCT
ejpam-4841	300	4	0	0	NUM
ejpam-4841	300	5	∗	∗	PROPN
ejpam-4841	300	6	y	y	NOUN
ejpam-4841	300	7	)	)	PUNCT
ejpam-4841	300	8	∗	∗	NOUN
ejpam-4841	300	9	(	(	PUNCT
ejpam-4841	300	10	z	z	NOUN
ejpam-4841	300	11	∗	∗	NOUN
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ejpam-4841	300	13	0	0	NUM
ejpam-4841	300	14	∗	∗	NOUN
ejpam-4841	300	15	x	x	NOUN
ejpam-4841	300	16	)	)	PUNCT
ejpam-4841	300	17	)	)	PUNCT
ejpam-4841	300	18	)	)	PUNCT
ejpam-4841	301	1	∗	∗	NOUN
ejpam-4841	301	2	(	(	PUNCT
ejpam-4841	301	3	(	(	PUNCT
ejpam-4841	301	4	0	0	NUM
ejpam-4841	301	5	∗	∗	NOUN
ejpam-4841	301	6	z	z	NOUN
ejpam-4841	301	7	)	)	PUNCT
ejpam-4841	301	8	∗	∗	NOUN
ejpam-4841	301	9	(	(	PUNCT
ejpam-4841	301	10	x	x	X
ejpam-4841	301	11	∗	∗	NOUN
ejpam-4841	301	12	(	(	PUNCT
ejpam-4841	301	13	0	0	NUM
ejpam-4841	301	14	∗	∗	PROPN
ejpam-4841	301	15	y	y	PROPN
ejpam-4841	301	16	)	)	PUNCT
ejpam-4841	301	17	)	)	PUNCT
ejpam-4841	301	18	)	)	PUNCT
ejpam-4841	302	1	=	=	PUNCT
ejpam-4841	302	2	(	(	PUNCT
ejpam-4841	302	3	(	(	PUNCT
ejpam-4841	302	4	(	(	PUNCT
ejpam-4841	302	5	0	0	NUM
ejpam-4841	302	6	∗	∗	NUM
ejpam-4841	302	7	y	y	NOUN
ejpam-4841	302	8	)	)	PUNCT
ejpam-4841	302	9	∗	∗	NOUN
ejpam-4841	302	10	x	x	NOUN
ejpam-4841	302	11	)	)	PUNCT
ejpam-4841	302	12	∗	∗	PROPN
ejpam-4841	302	13	z	z	NOUN
ejpam-4841	302	14	)	)	PUNCT
ejpam-4841	302	15	∗	∗	NOUN
ejpam-4841	302	16	(	(	PUNCT
ejpam-4841	302	17	(	(	PUNCT
ejpam-4841	302	18	0	0	NUM
ejpam-4841	302	19	∗	∗	NOUN
ejpam-4841	302	20	z	z	NOUN
ejpam-4841	302	21	)	)	PUNCT
ejpam-4841	302	22	∗	∗	NOUN
ejpam-4841	302	23	(	(	PUNCT
ejpam-4841	302	24	x	x	X
ejpam-4841	302	25	∗	∗	NOUN
ejpam-4841	302	26	(	(	PUNCT
ejpam-4841	302	27	0	0	NUM
ejpam-4841	302	28	∗	∗	PROPN
ejpam-4841	302	29	y	y	PROPN
ejpam-4841	302	30	)	)	PUNCT
ejpam-4841	302	31	)	)	PUNCT
ejpam-4841	302	32	)	)	PUNCT
ejpam-4841	303	1	=	=	PUNCT
ejpam-4841	303	2	(	(	PUNCT
ejpam-4841	303	3	(	(	PUNCT
ejpam-4841	303	4	0	0	NUM
ejpam-4841	303	5	∗	∗	NOUN
ejpam-4841	303	6	(	(	PUNCT
ejpam-4841	303	7	x	x	X
ejpam-4841	303	8	∗	∗	NOUN
ejpam-4841	303	9	(	(	PUNCT
ejpam-4841	303	10	0	0	NUM
ejpam-4841	303	11	∗	∗	PROPN
ejpam-4841	303	12	y	y	PROPN
ejpam-4841	303	13	)	)	PUNCT
ejpam-4841	303	14	)	)	PUNCT
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ejpam-4841	304	1	∗	∗	PROPN
ejpam-4841	304	2	z	z	NOUN
ejpam-4841	304	3	)	)	PUNCT
ejpam-4841	304	4	∗	∗	NOUN
ejpam-4841	304	5	(	(	PUNCT
ejpam-4841	304	6	(	(	PUNCT
ejpam-4841	304	7	0	0	NUM
ejpam-4841	304	8	∗	∗	NOUN
ejpam-4841	304	9	z	z	NOUN
ejpam-4841	304	10	)	)	PUNCT
ejpam-4841	304	11	∗	∗	NOUN
ejpam-4841	304	12	(	(	PUNCT
ejpam-4841	304	13	x	x	X
ejpam-4841	304	14	∗	∗	NOUN
ejpam-4841	304	15	(	(	PUNCT
ejpam-4841	304	16	0	0	NUM
ejpam-4841	304	17	∗	∗	PROPN
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ejpam-4841	304	19	)	)	PUNCT
ejpam-4841	304	20	)	)	PUNCT
ejpam-4841	304	21	)	)	PUNCT
ejpam-4841	305	1	=	=	PUNCT
ejpam-4841	306	1	[	[	X
ejpam-4841	306	2	x	x	X
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ejpam-4841	306	4	(	(	PUNCT
ejpam-4841	306	5	0	0	NUM
ejpam-4841	306	6	∗	∗	PROPN
ejpam-4841	306	7	y	y	PROPN
ejpam-4841	306	8	)	)	PUNCT
ejpam-4841	306	9	,	,	PUNCT
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ejpam-4841	306	11	]	]	X
ejpam-4841	306	12	.	.	PUNCT
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ejpam-4841	307	2	adanza	adanza	PROPN
ejpam-4841	307	3	/	/	SYM
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ejpam-4841	307	5	.	.	PUNCT
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ejpam-4841	308	3	appl	appl	PROPN
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ejpam-4841	308	5	math	math	PROPN
ejpam-4841	308	6	,	,	PUNCT
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ejpam-4841	308	8	(	(	PUNCT
ejpam-4841	308	9	3	3	NUM
ejpam-4841	308	10	)	)	PUNCT
ejpam-4841	308	11	(	(	PUNCT
ejpam-4841	308	12	2023	2023	NUM
ejpam-4841	308	13	)	)	PUNCT
ejpam-4841	308	14	,	,	PUNCT
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ejpam-4841	308	16	-	-	SYM
ejpam-4841	308	17	1674	1674	NUM
ejpam-4841	308	18	1670	1670	NUM
ejpam-4841	308	19	corollary	corollary	NOUN
ejpam-4841	308	20	1	1	NUM
ejpam-4841	308	21	.	.	PUNCT
ejpam-4841	309	1	let	let	VERB
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ejpam-4841	309	3	,	,	PUNCT
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ejpam-4841	309	5	,	,	PUNCT
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ejpam-4841	310	6	∗	∗	NOUN
ejpam-4841	310	7	(	(	PUNCT
ejpam-4841	310	8	0	0	NUM
ejpam-4841	310	9	∗	∗	NOUN
ejpam-4841	310	10	z	z	NOUN
ejpam-4841	310	11	)	)	PUNCT
ejpam-4841	310	12	]	]	PUNCT
ejpam-4841	311	1	=	=	PUNCT
ejpam-4841	312	1	[	[	X
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ejpam-4841	312	5	]	]	X
ejpam-4841	312	6	∗	∗	NOUN
ejpam-4841	313	1	[	[	X
ejpam-4841	313	2	y	y	NOUN
ejpam-4841	313	3	,	,	PUNCT
ejpam-4841	313	4	x]z	x]z	NOUN
ejpam-4841	313	5	.	.	PUNCT
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ejpam-4841	314	2	.	.	PUNCT
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ejpam-4841	315	2	lemma	lemma	PROPN
ejpam-4841	315	3	2(ii	2(ii	NUM
ejpam-4841	315	4	)	)	PUNCT
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ejpam-4841	315	20	0	0	NUM
ejpam-4841	315	21	∗	∗	NOUN
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ejpam-4841	316	1	=	=	SYM
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ejpam-4841	316	6	∗	∗	X
ejpam-4841	316	7	(	(	PUNCT
ejpam-4841	316	8	0	0	NUM
ejpam-4841	316	9	∗	∗	NOUN
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ejpam-4841	316	18	(	(	PUNCT
ejpam-4841	316	19	[	[	X
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ejpam-4841	316	21	,	,	PUNCT
ejpam-4841	316	22	x]z	x]z	NOUN
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ejpam-4841	317	1	[	[	X
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ejpam-4841	317	4	z	z	NOUN
ejpam-4841	317	5	]	]	X
ejpam-4841	317	6	)	)	PUNCT
ejpam-4841	317	7	=	=	PUNCT
ejpam-4841	318	1	[	[	X
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ejpam-4841	318	3	,	,	PUNCT
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ejpam-4841	318	5	]	]	X
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ejpam-4841	329	10	∗	∗	NUM
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ejpam-4841	329	15	)	)	PUNCT
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ejpam-4841	329	17	(	(	PUNCT
ejpam-4841	329	18	(	(	PUNCT
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ejpam-4841	329	20	∗	∗	NOUN
ejpam-4841	329	21	x0∗y	x0∗y	PROPN
ejpam-4841	329	22	)	)	PUNCT
ejpam-4841	329	23	∗	∗	PROPN
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ejpam-4841	329	26	=	=	SYM
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ejpam-4841	329	28	(	(	PUNCT
ejpam-4841	329	29	0	0	NUM
ejpam-4841	329	30	∗	∗	NOUN
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ejpam-4841	329	32	)	)	PUNCT
ejpam-4841	329	33	∗	∗	NOUN
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ejpam-4841	329	35	0	0	NUM
ejpam-4841	329	36	∗	∗	NOUN
ejpam-4841	329	37	(	(	PUNCT
ejpam-4841	329	38	0	0	NUM
ejpam-4841	329	39	∗	∗	PROPN
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ejpam-4841	329	41	)	)	PUNCT
ejpam-4841	329	42	)	)	PUNCT
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ejpam-4841	330	1	∗	∗	NOUN
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ejpam-4841	330	14	0	0	NUM
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ejpam-4841	330	18	∗	∗	PROPN
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ejpam-4841	330	20	)	)	PUNCT
ejpam-4841	330	21	∗	∗	NOUN
ejpam-4841	330	22	(	(	PUNCT
ejpam-4841	330	23	(	(	PUNCT
ejpam-4841	330	24	0	0	NUM
ejpam-4841	330	25	∗	∗	NOUN
ejpam-4841	330	26	x0∗y	x0∗y	PROPN
ejpam-4841	330	27	)	)	PUNCT
ejpam-4841	330	28	∗	∗	PROPN
ejpam-4841	330	29	y	y	NOUN
ejpam-4841	330	30	)	)	PUNCT
ejpam-4841	330	31	=	=	SYM
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ejpam-4841	330	33	0	0	NUM
ejpam-4841	330	34	∗	∗	NOUN
ejpam-4841	330	35	x	x	NOUN
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ejpam-4841	330	37	∗	∗	NOUN
ejpam-4841	330	38	(	(	PUNCT
ejpam-4841	330	39	0	0	NUM
ejpam-4841	330	40	∗	∗	NOUN
ejpam-4841	330	41	x0∗y	x0∗y	PROPN
ejpam-4841	330	42	)	)	PUNCT
ejpam-4841	330	43	=	=	SYM
ejpam-4841	330	44	(	(	PUNCT
ejpam-4841	330	45	0	0	NUM
ejpam-4841	330	46	∗	∗	NOUN
ejpam-4841	330	47	x	x	NOUN
ejpam-4841	330	48	)	)	PUNCT
ejpam-4841	330	49	∗	∗	NOUN
ejpam-4841	330	50	(	(	PUNCT
ejpam-4841	330	51	0	0	NUM
ejpam-4841	330	52	∗	∗	NOUN
ejpam-4841	330	53	(	(	PUNCT
ejpam-4841	330	54	y	y	PROPN
ejpam-4841	330	55	∗	∗	NOUN
ejpam-4841	330	56	(	(	PUNCT
ejpam-4841	330	57	y	y	PROPN
ejpam-4841	330	58	∗	∗	NOUN
ejpam-4841	330	59	x	x	NOUN
ejpam-4841	330	60	)	)	PUNCT
ejpam-4841	330	61	)	)	PUNCT
ejpam-4841	330	62	)	)	PUNCT
ejpam-4841	331	1	=	=	PUNCT
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ejpam-4841	331	3	0	0	NUM
ejpam-4841	331	4	∗	∗	NOUN
ejpam-4841	331	5	x	x	NOUN
ejpam-4841	331	6	)	)	PUNCT
ejpam-4841	331	7	∗	∗	NOUN
ejpam-4841	331	8	(	(	PUNCT
ejpam-4841	331	9	(	(	PUNCT
ejpam-4841	331	10	y	y	PROPN
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ejpam-4841	331	12	x	x	NOUN
ejpam-4841	331	13	)	)	PUNCT
ejpam-4841	331	14	∗	∗	PROPN
ejpam-4841	331	15	y	y	NOUN
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ejpam-4841	331	17	=	=	SYM
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ejpam-4841	331	20	0	0	NUM
ejpam-4841	331	21	∗	∗	NOUN
ejpam-4841	331	22	x	x	NOUN
ejpam-4841	331	23	)	)	PUNCT
ejpam-4841	331	24	∗	∗	NOUN
ejpam-4841	331	25	(	(	PUNCT
ejpam-4841	331	26	0	0	NUM
ejpam-4841	331	27	∗	∗	PROPN
ejpam-4841	331	28	y	y	PROPN
ejpam-4841	331	29	)	)	PUNCT
ejpam-4841	331	30	)	)	PUNCT
ejpam-4841	331	31	∗	∗	NOUN
ejpam-4841	331	32	(	(	PUNCT
ejpam-4841	331	33	y	y	PROPN
ejpam-4841	331	34	∗	∗	NOUN
ejpam-4841	331	35	x	x	NOUN
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ejpam-4841	331	37	=	=	SYM
ejpam-4841	331	38	(	(	PUNCT
ejpam-4841	331	39	(	(	PUNCT
ejpam-4841	331	40	0	0	NUM
ejpam-4841	331	41	∗	∗	NOUN
ejpam-4841	331	42	x	x	NOUN
ejpam-4841	331	43	)	)	PUNCT
ejpam-4841	331	44	∗	∗	NOUN
ejpam-4841	331	45	(	(	PUNCT
ejpam-4841	331	46	0	0	NUM
ejpam-4841	331	47	∗	∗	PROPN
ejpam-4841	331	48	y	y	PROPN
ejpam-4841	331	49	)	)	PUNCT
ejpam-4841	331	50	)	)	PUNCT
ejpam-4841	331	51	∗	∗	NOUN
ejpam-4841	331	52	(	(	PUNCT
ejpam-4841	331	53	(	(	PUNCT
ejpam-4841	331	54	0	0	NUM
ejpam-4841	331	55	∗	∗	NOUN
ejpam-4841	331	56	(	(	PUNCT
ejpam-4841	331	57	0	0	NUM
ejpam-4841	331	58	∗	∗	PROPN
ejpam-4841	331	59	y	y	PROPN
ejpam-4841	331	60	)	)	PUNCT
ejpam-4841	331	61	)	)	PUNCT
ejpam-4841	331	62	∗	∗	NOUN
ejpam-4841	331	63	x	x	NOUN
ejpam-4841	331	64	)	)	PUNCT
ejpam-4841	331	65	=	=	PUNCT
ejpam-4841	332	1	[	[	X
ejpam-4841	332	2	x	x	X
ejpam-4841	332	3	,	,	PUNCT
ejpam-4841	332	4	0	0	NUM
ejpam-4841	332	5	∗	∗	NOUN
ejpam-4841	332	6	y	y	PROPN
ejpam-4841	332	7	]	]	PUNCT
ejpam-4841	332	8	.	.	PUNCT
ejpam-4841	333	1	corollary	corollary	ADJ
ejpam-4841	333	2	2	2	NUM
ejpam-4841	333	3	.	.	PUNCT
ejpam-4841	334	1	let	let	VERB
ejpam-4841	334	2	x	x	PRON
ejpam-4841	334	3	,	,	PUNCT
ejpam-4841	334	4	y	y	PROPN
ejpam-4841	334	5	∈	∈	PROPN
ejpam-4841	334	6	x.	x.	NOUN
ejpam-4841	335	1	then	then	ADV
ejpam-4841	335	2	[	[	X
ejpam-4841	335	3	0	0	NUM
ejpam-4841	335	4	∗	∗	NOUN
ejpam-4841	335	5	x	x	SYM
ejpam-4841	335	6	,	,	PUNCT
ejpam-4841	335	7	y	y	PROPN
ejpam-4841	335	8	]	]	X
ejpam-4841	335	9	=	=	PUNCT
ejpam-4841	336	1	[	[	X
ejpam-4841	336	2	y	y	NOUN
ejpam-4841	336	3	,	,	PUNCT
ejpam-4841	336	4	x]0∗x	x]0∗x	PROPN
ejpam-4841	336	5	.	.	PUNCT
ejpam-4841	337	1	proof	proof	NOUN
ejpam-4841	337	2	.	.	PUNCT
ejpam-4841	338	1	by	by	ADP
ejpam-4841	338	2	lemma	lemma	PROPN
ejpam-4841	338	3	2(ii	2(ii	NUM
ejpam-4841	338	4	)	)	PUNCT
ejpam-4841	338	5	,	,	PUNCT
ejpam-4841	338	6	theorem	theorem	VERB
ejpam-4841	338	7	3	3	NUM
ejpam-4841	338	8	,	,	PUNCT
ejpam-4841	338	9	and	and	CCONJ
ejpam-4841	338	10	lemma	lemma	PROPN
ejpam-4841	338	11	3(i	3(i	NUM
ejpam-4841	338	12	)	)	PUNCT
ejpam-4841	338	13	,	,	PUNCT
ejpam-4841	338	14	we	we	PRON
ejpam-4841	338	15	get	get	VERB
ejpam-4841	338	16	[	[	X
ejpam-4841	338	17	0	0	NUM
ejpam-4841	338	18	∗	∗	NOUN
ejpam-4841	338	19	x	x	SYM
ejpam-4841	338	20	,	,	PUNCT
ejpam-4841	338	21	y	y	PROPN
ejpam-4841	338	22	]	]	X
ejpam-4841	338	23	=	=	SYM
ejpam-4841	338	24	0	0	NUM
ejpam-4841	338	25	∗	∗	NOUN
ejpam-4841	339	1	[	[	X
ejpam-4841	339	2	y	y	PROPN
ejpam-4841	339	3	,	,	PUNCT
ejpam-4841	339	4	0	0	NUM
ejpam-4841	339	5	∗	∗	NOUN
ejpam-4841	339	6	x	x	X
ejpam-4841	339	7	]	]	X
ejpam-4841	339	8	=	=	SYM
ejpam-4841	339	9	0	0	NUM
ejpam-4841	339	10	∗	∗	NOUN
ejpam-4841	340	1	[	[	X
ejpam-4841	340	2	x	x	X
ejpam-4841	340	3	,	,	PUNCT
ejpam-4841	340	4	y]0∗x	y]0∗x	PUNCT
ejpam-4841	340	5	=	=	SYM
ejpam-4841	340	6	(	(	PUNCT
ejpam-4841	340	7	0	0	NUM
ejpam-4841	340	8	∗	∗	NOUN
ejpam-4841	340	9	[	[	X
ejpam-4841	340	10	x	x	X
ejpam-4841	340	11	,	,	PUNCT
ejpam-4841	340	12	y])0∗x	y])0∗x	PROPN
ejpam-4841	340	13	=	=	PUNCT
ejpam-4841	341	1	[	[	X
ejpam-4841	341	2	y	y	NOUN
ejpam-4841	341	3	,	,	PUNCT
ejpam-4841	341	4	x]0∗x	x]0∗x	PROPN
ejpam-4841	341	5	.	.	PUNCT
ejpam-4841	342	1	j.	j.	PROPN
ejpam-4841	342	2	adanza	adanza	PROPN
ejpam-4841	342	3	/	/	SYM
ejpam-4841	342	4	eur	eur	PROPN
ejpam-4841	342	5	.	.	PUNCT
ejpam-4841	343	1	j.	j.	PROPN
ejpam-4841	343	2	pure	pure	PROPN
ejpam-4841	343	3	appl	appl	PROPN
ejpam-4841	343	4	.	.	PROPN
ejpam-4841	343	5	math	math	PROPN
ejpam-4841	343	6	,	,	PUNCT
ejpam-4841	343	7	16	16	NUM
ejpam-4841	343	8	(	(	PUNCT
ejpam-4841	343	9	3	3	NUM
ejpam-4841	343	10	)	)	PUNCT
ejpam-4841	343	11	(	(	PUNCT
ejpam-4841	343	12	2023	2023	NUM
ejpam-4841	343	13	)	)	PUNCT
ejpam-4841	343	14	,	,	PUNCT
ejpam-4841	343	15	1663	1663	NUM
ejpam-4841	343	16	-	-	SYM
ejpam-4841	343	17	1674	1674	NUM
ejpam-4841	343	18	1671	1671	NUM
ejpam-4841	343	19	3	3	NUM
ejpam-4841	343	20	.	.	PUNCT
ejpam-4841	344	1	kth	kth	PROPN
ejpam-4841	344	2	b	b	X
ejpam-4841	344	3	-	-	PUNCT
ejpam-4841	344	4	commutators	commutator	NOUN
ejpam-4841	344	5	we	we	PRON
ejpam-4841	344	6	recall	recall	VERB
ejpam-4841	344	7	first	first	ADV
ejpam-4841	344	8	the	the	DET
ejpam-4841	344	9	concept	concept	NOUN
ejpam-4841	344	10	of	of	ADP
ejpam-4841	344	11	solvable	solvable	ADJ
ejpam-4841	344	12	b	b	NOUN
ejpam-4841	344	13	-	-	PUNCT
ejpam-4841	344	14	algebras	algebras	X
ejpam-4841	345	1	[	[	X
ejpam-4841	345	2	8	8	NUM
ejpam-4841	345	3	]	]	PUNCT
ejpam-4841	345	4	.	.	PUNCT
ejpam-4841	346	1	let	let	VERB
ejpam-4841	346	2	x	x	PRON
ejpam-4841	346	3	=	=	PRON
ejpam-4841	346	4	h0	h0	PROPN
ejpam-4841	346	5	⊇	⊇	PROPN
ejpam-4841	346	6	h1	h1	PROPN
ejpam-4841	346	7	⊇	⊇	PROPN
ejpam-4841	346	8	h2	h2	PROPN
ejpam-4841	346	9	⊇	⊇	X
ejpam-4841	346	10	·	·	PUNCT
ejpam-4841	346	11	·	·	PUNCT
ejpam-4841	346	12	·	·	PUNCT
ejpam-4841	347	1	⊇	⊇	NOUN
ejpam-4841	347	2	hn	hn	NOUN
ejpam-4841	347	3	=	=	PUNCT
ejpam-4841	347	4	{	{	PUNCT
ejpam-4841	347	5	0	0	NUM
ejpam-4841	347	6	}	}	PUNCT
ejpam-4841	347	7	be	be	AUX
ejpam-4841	347	8	a	a	DET
ejpam-4841	347	9	series	series	NOUN
ejpam-4841	347	10	of	of	ADP
ejpam-4841	347	11	subalgebras	subalgebras	PROPN
ejpam-4841	347	12	of	of	ADP
ejpam-4841	347	13	x.	x.	PROPN
ejpam-4841	347	14	the	the	DET
ejpam-4841	347	15	series	series	NOUN
ejpam-4841	347	16	is	be	AUX
ejpam-4841	347	17	called	call	VERB
ejpam-4841	347	18	a	a	DET
ejpam-4841	347	19	subnormal	subnormal	ADJ
ejpam-4841	347	20	b	b	NOUN
ejpam-4841	347	21	-	-	PUNCT
ejpam-4841	347	22	series	series	NOUN
ejpam-4841	347	23	if	if	SCONJ
ejpam-4841	347	24	each	each	PRON
ejpam-4841	347	25	hi	hi	INTJ
ejpam-4841	347	26	is	be	AUX
ejpam-4841	347	27	normal	normal	ADJ
ejpam-4841	347	28	in	in	ADP
ejpam-4841	347	29	hi−1	hi−1	PROPN
ejpam-4841	347	30	.	.	PUNCT
ejpam-4841	348	1	the	the	DET
ejpam-4841	348	2	series	series	NOUN
ejpam-4841	348	3	is	be	AUX
ejpam-4841	348	4	called	call	VERB
ejpam-4841	348	5	a	a	DET
ejpam-4841	348	6	normal	normal	ADJ
ejpam-4841	348	7	b	b	NOUN
ejpam-4841	348	8	-	-	PUNCT
ejpam-4841	348	9	series	series	NOUN
ejpam-4841	348	10	if	if	SCONJ
ejpam-4841	348	11	each	each	PRON
ejpam-4841	348	12	hi	hi	INTJ
ejpam-4841	348	13	is	be	AUX
ejpam-4841	348	14	normal	normal	ADJ
ejpam-4841	348	15	in	in	ADP
ejpam-4841	348	16	x.	x.	NOUN
ejpam-4841	348	17	since	since	SCONJ
ejpam-4841	348	18	{	{	PUNCT
ejpam-4841	348	19	0	0	NUM
ejpam-4841	348	20	}	}	PUNCT
ejpam-4841	348	21	is	be	AUX
ejpam-4841	348	22	normal	normal	ADJ
ejpam-4841	348	23	in	in	ADP
ejpam-4841	348	24	x	x	PRON
ejpam-4841	348	25	,	,	PUNCT
ejpam-4841	348	26	every	every	DET
ejpam-4841	348	27	b	b	X
ejpam-4841	348	28	-	-	PUNCT
ejpam-4841	348	29	algebra	algebra	NOUN
ejpam-4841	348	30	has	have	VERB
ejpam-4841	348	31	a	a	DET
ejpam-4841	348	32	normal	normal	ADJ
ejpam-4841	348	33	b	b	NOUN
ejpam-4841	348	34	-	-	PUNCT
ejpam-4841	348	35	series	series	NOUN
ejpam-4841	348	36	.	.	PUNCT
ejpam-4841	349	1	if	if	SCONJ
ejpam-4841	349	2	x	x	PRON
ejpam-4841	349	3	has	have	VERB
ejpam-4841	349	4	a	a	DET
ejpam-4841	349	5	subnormal	subnormal	ADJ
ejpam-4841	349	6	b	b	NOUN
ejpam-4841	349	7	-	-	PUNCT
ejpam-4841	349	8	series	series	NOUN
ejpam-4841	349	9	x	x	X
ejpam-4841	349	10	=	=	SYM
ejpam-4841	349	11	h0	h0	PROPN
ejpam-4841	349	12	⊇	⊇	PROPN
ejpam-4841	349	13	h1	h1	PROPN
ejpam-4841	349	14	⊇	⊇	PROPN
ejpam-4841	349	15	h2	h2	PROPN
ejpam-4841	349	16	⊇	⊇	X
ejpam-4841	349	17	·	·	PUNCT
ejpam-4841	349	18	·	·	PUNCT
ejpam-4841	349	19	·	·	PUNCT
ejpam-4841	349	20	⊇	⊇	PROPN
ejpam-4841	349	21	hn−1	hn−1	PROPN
ejpam-4841	349	22	⊇	⊇	NOUN
ejpam-4841	350	1	hn	hn	NOUN
ejpam-4841	350	2	=	=	PUNCT
ejpam-4841	350	3	{	{	PUNCT
ejpam-4841	350	4	0	0	NUM
ejpam-4841	350	5	}	}	PUNCT
ejpam-4841	350	6	such	such	ADJ
ejpam-4841	350	7	that	that	PRON
ejpam-4841	350	8	hi	hi	PROPN
ejpam-4841	350	9	/	/	SYM
ejpam-4841	350	10	hi+1	hi+1	NOUN
ejpam-4841	350	11	is	be	AUX
ejpam-4841	350	12	commutative	commutative	ADJ
ejpam-4841	350	13	,	,	PUNCT
ejpam-4841	350	14	i	i	PRON
ejpam-4841	350	15	=	=	NOUN
ejpam-4841	350	16	0	0	NUM
ejpam-4841	350	17	,	,	PUNCT
ejpam-4841	350	18	1	1	NUM
ejpam-4841	350	19	,	,	PUNCT
ejpam-4841	350	20	.	.	PUNCT
ejpam-4841	350	21	.	.	PUNCT
ejpam-4841	351	1	.	.	PUNCT
ejpam-4841	352	1	,	,	PUNCT
ejpam-4841	352	2	n	n	CCONJ
ejpam-4841	352	3	−	−	PROPN
ejpam-4841	352	4	1	1	NUM
ejpam-4841	352	5	,	,	PUNCT
ejpam-4841	352	6	then	then	ADV
ejpam-4841	352	7	we	we	PRON
ejpam-4841	352	8	say	say	VERB
ejpam-4841	352	9	that	that	SCONJ
ejpam-4841	352	10	x	x	PRON
ejpam-4841	352	11	is	be	AUX
ejpam-4841	352	12	solvable	solvable	ADJ
ejpam-4841	352	13	.	.	PUNCT
ejpam-4841	353	1	such	such	DET
ejpam-4841	353	2	a	a	DET
ejpam-4841	353	3	subnormal	subnormal	ADJ
ejpam-4841	353	4	b	b	NOUN
ejpam-4841	353	5	-	-	PUNCT
ejpam-4841	353	6	series	series	NOUN
ejpam-4841	353	7	is	be	AUX
ejpam-4841	353	8	called	call	VERB
ejpam-4841	353	9	a	a	DET
ejpam-4841	353	10	solvable	solvable	ADJ
ejpam-4841	353	11	b	b	NOUN
ejpam-4841	353	12	-	-	PUNCT
ejpam-4841	353	13	series	series	NOUN
ejpam-4841	353	14	for	for	ADP
ejpam-4841	353	15	x.	x.	NOUN
ejpam-4841	353	16	for	for	ADP
ejpam-4841	353	17	simplicity	simplicity	NOUN
ejpam-4841	353	18	,	,	PUNCT
ejpam-4841	353	19	we	we	PRON
ejpam-4841	353	20	write	write	VERB
ejpam-4841	353	21	the	the	DET
ejpam-4841	353	22	derived	derived	ADJ
ejpam-4841	353	23	b	b	NOUN
ejpam-4841	353	24	-	-	PUNCT
ejpam-4841	353	25	algebra	algebra	NOUN
ejpam-4841	353	26	d(x	d(x	NOUN
ejpam-4841	353	27	)	)	PUNCT
ejpam-4841	353	28	as	as	ADP
ejpam-4841	353	29	x	x	X
ejpam-4841	353	30	′.	′.	NOUN
ejpam-4841	353	31	definition	definition	NOUN
ejpam-4841	353	32	1	1	X
ejpam-4841	353	33	.	.	PUNCT
ejpam-4841	353	34	set	set	VERB
ejpam-4841	353	35	x(1	x(1	PROPN
ejpam-4841	353	36	)	)	PUNCT
ejpam-4841	353	37	=	=	PUNCT
ejpam-4841	354	1	x	x	SYM
ejpam-4841	354	2	′	′	NOUN
ejpam-4841	354	3	and	and	CCONJ
ejpam-4841	354	4	define	define	VERB
ejpam-4841	354	5	inductively	inductively	ADV
ejpam-4841	354	6	x(k+1	x(k+1	NUM
ejpam-4841	354	7	)	)	PUNCT
ejpam-4841	354	8	=	=	SYM
ejpam-4841	354	9	x(k)′	x(k)′	PROPN
ejpam-4841	354	10	,	,	PUNCT
ejpam-4841	354	11	the	the	DET
ejpam-4841	354	12	b	b	NOUN
ejpam-4841	354	13	-	-	PUNCT
ejpam-4841	354	14	commutator	commutator	NOUN
ejpam-4841	354	15	subalgebra	subalgebra	NOUN
ejpam-4841	354	16	of	of	ADP
ejpam-4841	354	17	x(k	x(k	PROPN
ejpam-4841	354	18	)	)	PUNCT
ejpam-4841	354	19	,	,	PUNCT
ejpam-4841	354	20	k	k	X
ejpam-4841	354	21	>	>	X
ejpam-4841	354	22	0	0	X
ejpam-4841	354	23	.	.	PUNCT
ejpam-4841	355	1	for	for	ADP
ejpam-4841	355	2	any	any	DET
ejpam-4841	355	3	positive	positive	ADJ
ejpam-4841	355	4	integer	integer	NOUN
ejpam-4841	355	5	k	k	PROPN
ejpam-4841	355	6	,	,	PUNCT
ejpam-4841	355	7	x(k	x(k	PROPN
ejpam-4841	355	8	)	)	PUNCT
ejpam-4841	355	9	is	be	AUX
ejpam-4841	355	10	called	call	VERB
ejpam-4841	355	11	the	the	DET
ejpam-4841	355	12	kth	kth	PROPN
ejpam-4841	355	13	b	b	PROPN
ejpam-4841	355	14	-	-	PUNCT
ejpam-4841	355	15	commutator	commutator	NOUN
ejpam-4841	355	16	subalgebra	subalgebra	NOUN
ejpam-4841	355	17	of	of	ADP
ejpam-4841	355	18	x.	x.	NOUN
ejpam-4841	355	19	by	by	ADP
ejpam-4841	355	20	lemma	lemma	PROPN
ejpam-4841	355	21	1	1	NUM
ejpam-4841	355	22	,	,	PUNCT
ejpam-4841	355	23	a	a	DET
ejpam-4841	355	24	b	b	NOUN
ejpam-4841	355	25	-	-	PUNCT
ejpam-4841	355	26	algebra	algebra	NOUN
ejpam-4841	355	27	x	x	PUNCT
ejpam-4841	355	28	is	be	AUX
ejpam-4841	355	29	commutative	commutative	ADJ
ejpam-4841	355	30	if	if	SCONJ
ejpam-4841	355	31	and	and	CCONJ
ejpam-4841	355	32	only	only	ADV
ejpam-4841	355	33	if	if	SCONJ
ejpam-4841	355	34	x	x	PRON
ejpam-4841	355	35	′	′	NOUN
ejpam-4841	355	36	=	=	SYM
ejpam-4841	355	37	{	{	PUNCT
ejpam-4841	355	38	0	0	NUM
ejpam-4841	355	39	}	}	PUNCT
ejpam-4841	355	40	.	.	PUNCT
ejpam-4841	356	1	example	example	NOUN
ejpam-4841	357	1	4	4	X
ejpam-4841	357	2	.	.	PUNCT
ejpam-4841	358	1	let	let	VERB
ejpam-4841	358	2	(	(	PUNCT
ejpam-4841	358	3	x	x	X
ejpam-4841	358	4	;	;	PUNCT
ejpam-4841	358	5	∗	∗	NOUN
ejpam-4841	358	6	,	,	PUNCT
ejpam-4841	358	7	0	0	NUM
ejpam-4841	358	8	)	)	PUNCT
ejpam-4841	358	9	be	be	VERB
ejpam-4841	358	10	the	the	DET
ejpam-4841	358	11	noncommutative	noncommutative	ADJ
ejpam-4841	358	12	b	b	NOUN
ejpam-4841	358	13	-	-	PUNCT
ejpam-4841	358	14	algebra	algebra	NOUN
ejpam-4841	358	15	in	in	ADP
ejpam-4841	358	16	example	example	NOUN
ejpam-4841	359	1	2	2	NUM
ejpam-4841	359	2	.	.	PUNCT
ejpam-4841	359	3	then	then	ADV
ejpam-4841	359	4	from	from	ADP
ejpam-4841	359	5	the	the	DET
ejpam-4841	359	6	computations	computation	NOUN
ejpam-4841	359	7	in	in	ADP
ejpam-4841	359	8	example	example	NOUN
ejpam-4841	359	9	3	3	NUM
ejpam-4841	359	10	,	,	PUNCT
ejpam-4841	359	11	we	we	PRON
ejpam-4841	359	12	see	see	VERB
ejpam-4841	359	13	that	that	PRON
ejpam-4841	359	14	x	x	PUNCT
ejpam-4841	360	1	′	′	NUM
ejpam-4841	360	2	=	=	SYM
ejpam-4841	360	3	{	{	PUNCT
ejpam-4841	360	4	0	0	NUM
ejpam-4841	360	5	,	,	PUNCT
ejpam-4841	360	6	1	1	NUM
ejpam-4841	360	7	,	,	PUNCT
ejpam-4841	360	8	2	2	NUM
ejpam-4841	360	9	}	}	PUNCT
ejpam-4841	360	10	and	and	CCONJ
ejpam-4841	360	11	x(2	x(2	PROPN
ejpam-4841	360	12	)	)	PUNCT
ejpam-4841	360	13	=	=	SYM
ejpam-4841	360	14	{	{	PUNCT
ejpam-4841	360	15	0	0	NUM
ejpam-4841	360	16	,	,	PUNCT
ejpam-4841	360	17	1	1	NUM
ejpam-4841	360	18	,	,	PUNCT
ejpam-4841	360	19	2}′	2}′	NUM
ejpam-4841	360	20	=	=	SYM
ejpam-4841	360	21	{	{	PUNCT
ejpam-4841	360	22	0	0	NUM
ejpam-4841	360	23	}	}	PUNCT
ejpam-4841	360	24	.	.	PUNCT
ejpam-4841	361	1	thus	thus	ADV
ejpam-4841	361	2	,	,	PUNCT
ejpam-4841	361	3	x(k	x(k	PROPN
ejpam-4841	361	4	)	)	PUNCT
ejpam-4841	361	5	=	=	SYM
ejpam-4841	361	6	{	{	PUNCT
ejpam-4841	361	7	0	0	NUM
ejpam-4841	361	8	}	}	PUNCT
ejpam-4841	361	9	for	for	ADP
ejpam-4841	361	10	all	all	DET
ejpam-4841	361	11	k	k	PROPN
ejpam-4841	361	12	≥	≥	NUM
ejpam-4841	361	13	2	2	NUM
ejpam-4841	361	14	.	.	PUNCT
ejpam-4841	362	1	the	the	DET
ejpam-4841	362	2	following	follow	VERB
ejpam-4841	362	3	theorem	theorem	NOUN
ejpam-4841	362	4	characterizes	characterize	VERB
ejpam-4841	362	5	solvable	solvable	ADJ
ejpam-4841	362	6	b	b	NOUN
ejpam-4841	362	7	-	-	PUNCT
ejpam-4841	362	8	algebra	algebra	NOUN
ejpam-4841	362	9	.	.	PUNCT
ejpam-4841	363	1	theorem	theorem	ADJ
ejpam-4841	363	2	4	4	NUM
ejpam-4841	363	3	.	.	PUNCT
ejpam-4841	364	1	x	x	PRON
ejpam-4841	364	2	is	be	AUX
ejpam-4841	364	3	solvable	solvable	ADJ
ejpam-4841	364	4	if	if	SCONJ
ejpam-4841	364	5	and	and	CCONJ
ejpam-4841	364	6	only	only	ADV
ejpam-4841	364	7	if	if	SCONJ
ejpam-4841	364	8	there	there	PRON
ejpam-4841	364	9	is	be	VERB
ejpam-4841	364	10	positive	positive	ADJ
ejpam-4841	364	11	integer	integer	NOUN
ejpam-4841	364	12	m	m	VERB
ejpam-4841	364	13	such	such	ADJ
ejpam-4841	364	14	that	that	SCONJ
ejpam-4841	364	15	x(m	x(m	PROPN
ejpam-4841	364	16	)	)	PUNCT
ejpam-4841	365	1	=	=	PUNCT
ejpam-4841	365	2	{	{	PUNCT
ejpam-4841	365	3	0	0	NUM
ejpam-4841	365	4	}	}	PUNCT
ejpam-4841	365	5	.	.	PUNCT
ejpam-4841	366	1	proof	proof	NOUN
ejpam-4841	366	2	.	.	PUNCT
ejpam-4841	367	1	suppose	suppose	VERB
ejpam-4841	367	2	that	that	SCONJ
ejpam-4841	367	3	x	x	PRON
ejpam-4841	367	4	is	be	AUX
ejpam-4841	367	5	solvable	solvable	ADJ
ejpam-4841	367	6	.	.	PUNCT
ejpam-4841	368	1	then	then	ADV
ejpam-4841	368	2	x	x	PRON
ejpam-4841	368	3	has	have	VERB
ejpam-4841	368	4	a	a	DET
ejpam-4841	368	5	solvable	solvable	ADJ
ejpam-4841	368	6	series	series	NOUN
ejpam-4841	368	7	,	,	PUNCT
ejpam-4841	368	8	say	say	VERB
ejpam-4841	368	9	,	,	PUNCT
ejpam-4841	368	10	x	x	PUNCT
ejpam-4841	368	11	=	=	SYM
ejpam-4841	368	12	h0	h0	PROPN
ejpam-4841	368	13	⊇	⊇	PROPN
ejpam-4841	368	14	h1	h1	PROPN
ejpam-4841	368	15	⊇	⊇	PROPN
ejpam-4841	368	16	h2	h2	PROPN
ejpam-4841	368	17	⊇	⊇	X
ejpam-4841	368	18	·	·	PUNCT
ejpam-4841	368	19	·	·	PUNCT
ejpam-4841	368	20	·	·	PUNCT
ejpam-4841	368	21	⊇	⊇	PROPN
ejpam-4841	368	22	hn−1	hn−1	PROPN
ejpam-4841	368	23	⊇	⊇	NOUN
ejpam-4841	368	24	hn	hn	NOUN
ejpam-4841	368	25	=	=	PUNCT
ejpam-4841	368	26	{	{	PUNCT
ejpam-4841	368	27	0	0	NUM
ejpam-4841	368	28	}	}	PUNCT
ejpam-4841	368	29	.	.	PUNCT
ejpam-4841	369	1	since	since	SCONJ
ejpam-4841	369	2	hi+1	hi+1	NOUN
ejpam-4841	369	3	is	be	AUX
ejpam-4841	369	4	normal	normal	ADJ
ejpam-4841	369	5	in	in	ADP
ejpam-4841	369	6	hi	hi	INTJ
ejpam-4841	369	7	and	and	CCONJ
ejpam-4841	369	8	hi	hi	ADJ
ejpam-4841	369	9	/	/	SYM
ejpam-4841	369	10	hi+1	hi+1	PROPN
ejpam-4841	369	11	is	be	AUX
ejpam-4841	369	12	commutative	commutative	ADJ
ejpam-4841	369	13	,	,	PUNCT
ejpam-4841	369	14	h	h	NOUN
ejpam-4841	370	1	′	′	NUM
ejpam-4841	370	2	i	i	PRON
ejpam-4841	370	3	⊆	⊆	NUM
ejpam-4841	370	4	hi+1	hi+1	NOUN
ejpam-4841	370	5	by	by	ADP
ejpam-4841	370	6	[	[	X
ejpam-4841	370	7	24	24	NUM
ejpam-4841	370	8	,	,	PUNCT
ejpam-4841	370	9	theorem	theorem	VERB
ejpam-4841	370	10	4.14	4.14	NUM
ejpam-4841	370	11	]	]	PUNCT
ejpam-4841	370	12	.	.	PUNCT
ejpam-4841	371	1	hence	hence	ADV
ejpam-4841	371	2	,	,	PUNCT
ejpam-4841	371	3	h1	h1	VERB
ejpam-4841	371	4	⊇	⊇	NOUN
ejpam-4841	371	5	h	h	NOUN
ejpam-4841	371	6	′	′	NOUN
ejpam-4841	371	7	0	0	NUM
ejpam-4841	372	1	=	=	SYM
ejpam-4841	372	2	x(1	x(1	PROPN
ejpam-4841	372	3	)	)	PUNCT
ejpam-4841	372	4	,	,	PUNCT
ejpam-4841	372	5	h2	h2	PROPN
ejpam-4841	372	6	⊇	⊇	PROPN
ejpam-4841	372	7	h	h	NOUN
ejpam-4841	372	8	′	′	NOUN
ejpam-4841	372	9	1	1	NUM
ejpam-4841	372	10	⊇	⊇	PROPN
ejpam-4841	372	11	x(2	x(2	PROPN
ejpam-4841	372	12	)	)	PUNCT
ejpam-4841	372	13	,	,	PUNCT
ejpam-4841	372	14	.	.	PUNCT
ejpam-4841	372	15	.	.	PUNCT
ejpam-4841	373	1	.,{0	.,{0	PUNCT
ejpam-4841	373	2	}	}	PUNCT
ejpam-4841	373	3	=	=	SYM
ejpam-4841	373	4	hn	hn	PROPN
ejpam-4841	373	5	⊇	⊇	PROPN
ejpam-4841	373	6	h	h	PROPN
ejpam-4841	373	7	′	′	PROPN
ejpam-4841	373	8	n−1	n−1	PROPN
ejpam-4841	373	9	⊇	⊇	ADJ
ejpam-4841	373	10	x(n	x(n	NOUN
ejpam-4841	373	11	)	)	PUNCT
ejpam-4841	373	12	.	.	PUNCT
ejpam-4841	374	1	thus	thus	ADV
ejpam-4841	374	2	,	,	PUNCT
ejpam-4841	374	3	x(n	x(n	NOUN
ejpam-4841	374	4	)	)	PUNCT
ejpam-4841	374	5	=	=	PRON
ejpam-4841	374	6	{	{	PUNCT
ejpam-4841	374	7	0	0	NUM
ejpam-4841	374	8	}	}	PUNCT
ejpam-4841	374	9	.	.	PUNCT
ejpam-4841	375	1	conversely	conversely	ADV
ejpam-4841	375	2	,	,	PUNCT
ejpam-4841	375	3	suppose	suppose	VERB
ejpam-4841	375	4	that	that	SCONJ
ejpam-4841	375	5	x(m	x(m	PROPN
ejpam-4841	375	6	)	)	PUNCT
ejpam-4841	376	1	=	=	PUNCT
ejpam-4841	376	2	{	{	PUNCT
ejpam-4841	376	3	0	0	NUM
ejpam-4841	376	4	}	}	PUNCT
ejpam-4841	376	5	.	.	PUNCT
ejpam-4841	377	1	the	the	DET
ejpam-4841	377	2	series	series	NOUN
ejpam-4841	377	3	x	x	PROPN
ejpam-4841	377	4	⊇	⊇	PROPN
ejpam-4841	377	5	x(1	x(1	PROPN
ejpam-4841	377	6	)	)	PUNCT
ejpam-4841	377	7	⊇	⊇	X
ejpam-4841	377	8	·	·	PUNCT
ejpam-4841	377	9	·	·	PUNCT
ejpam-4841	377	10	·	·	PUNCT
ejpam-4841	377	11	⊇	⊇	NOUN
ejpam-4841	377	12	x(m−1	x(m−1	PROPN
ejpam-4841	377	13	)	)	PUNCT
ejpam-4841	378	1	=	=	PRON
ejpam-4841	378	2	{	{	PUNCT
ejpam-4841	378	3	0	0	NUM
ejpam-4841	378	4	}	}	PUNCT
ejpam-4841	378	5	is	be	AUX
ejpam-4841	378	6	a	a	DET
ejpam-4841	378	7	solvable	solvable	ADJ
ejpam-4841	378	8	b	b	NOUN
ejpam-4841	378	9	-	-	PUNCT
ejpam-4841	378	10	series	series	NOUN
ejpam-4841	378	11	.	.	PUNCT
ejpam-4841	379	1	thus	thus	ADV
ejpam-4841	379	2	,	,	PUNCT
ejpam-4841	379	3	x	x	PRON
ejpam-4841	379	4	is	be	AUX
ejpam-4841	379	5	solvable	solvable	ADJ
ejpam-4841	379	6	.	.	PUNCT
ejpam-4841	380	1	proposition	proposition	NOUN
ejpam-4841	380	2	1	1	NUM
ejpam-4841	380	3	.	.	PUNCT
ejpam-4841	381	1	let	let	AUX
ejpam-4841	381	2	h	h	PRON
ejpam-4841	381	3	̸=	̸=	PROPN
ejpam-4841	381	4	{	{	PUNCT
ejpam-4841	381	5	0	0	NUM
ejpam-4841	381	6	}	}	PUNCT
ejpam-4841	381	7	be	be	AUX
ejpam-4841	381	8	a	a	DET
ejpam-4841	381	9	subalgebra	subalgebra	NOUN
ejpam-4841	381	10	of	of	ADP
ejpam-4841	381	11	a	a	DET
ejpam-4841	381	12	solvable	solvable	ADJ
ejpam-4841	381	13	b	b	NOUN
ejpam-4841	381	14	-	-	PUNCT
ejpam-4841	381	15	algebra	algebra	NOUN
ejpam-4841	381	16	x.	x.	NOUN
ejpam-4841	382	1	then	then	ADV
ejpam-4841	382	2	h	h	NOUN
ejpam-4841	382	3	′	′	NUM
ejpam-4841	382	4	̸=	̸=	PROPN
ejpam-4841	382	5	h.	h.	NOUN
ejpam-4841	382	6	proof	proof	NOUN
ejpam-4841	382	7	.	.	PUNCT
ejpam-4841	383	1	suppose	suppose	VERB
ejpam-4841	384	1	h	h	NOUN
ejpam-4841	384	2	′	′	NUM
ejpam-4841	385	1	=	=	PUNCT
ejpam-4841	385	2	h.	h.	NOUN
ejpam-4841	385	3	then	then	ADV
ejpam-4841	385	4	h(2	h(2	PROPN
ejpam-4841	385	5	)	)	PUNCT
ejpam-4841	385	6	=	=	PUNCT
ejpam-4841	386	1	(	(	PUNCT
ejpam-4841	386	2	h	h	NOUN
ejpam-4841	386	3	′)′	′)′	PUNCT
ejpam-4841	387	1	=	=	PUNCT
ejpam-4841	387	2	h	h	NOUN
ejpam-4841	387	3	′	′	NUM
ejpam-4841	388	1	=	=	PUNCT
ejpam-4841	388	2	h	h	NOUN
ejpam-4841	388	3	̸=	̸=	PROPN
ejpam-4841	388	4	{	{	PUNCT
ejpam-4841	388	5	0	0	NUM
ejpam-4841	388	6	}	}	PUNCT
ejpam-4841	388	7	.	.	PUNCT
ejpam-4841	389	1	by	by	ADP
ejpam-4841	389	2	induction	induction	NOUN
ejpam-4841	389	3	,	,	PUNCT
ejpam-4841	389	4	h(n	h(n	PROPN
ejpam-4841	389	5	)	)	PUNCT
ejpam-4841	389	6	=	=	SYM
ejpam-4841	389	7	h	h	NOUN
ejpam-4841	389	8	̸=	̸=	PROPN
ejpam-4841	389	9	{	{	PUNCT
ejpam-4841	389	10	0	0	NUM
ejpam-4841	389	11	}	}	PUNCT
ejpam-4841	389	12	for	for	ADP
ejpam-4841	389	13	any	any	DET
ejpam-4841	389	14	positive	positive	ADJ
ejpam-4841	389	15	integer	integer	NOUN
ejpam-4841	389	16	n.	n.	NOUN
ejpam-4841	389	17	by	by	ADP
ejpam-4841	389	18	[	[	X
ejpam-4841	389	19	8	8	NUM
ejpam-4841	389	20	,	,	PUNCT
ejpam-4841	389	21	theorem	theorem	VERB
ejpam-4841	389	22	12	12	NUM
ejpam-4841	389	23	]	]	PUNCT
ejpam-4841	389	24	,	,	PUNCT
ejpam-4841	389	25	h	h	NOUN
ejpam-4841	389	26	is	be	AUX
ejpam-4841	389	27	solvable	solvable	ADJ
ejpam-4841	389	28	.	.	PUNCT
ejpam-4841	390	1	thus	thus	ADV
ejpam-4841	390	2	,	,	PUNCT
ejpam-4841	390	3	by	by	ADP
ejpam-4841	390	4	theorem	theorem	NOUN
ejpam-4841	390	5	4	4	NUM
ejpam-4841	390	6	,	,	PUNCT
ejpam-4841	390	7	there	there	PRON
ejpam-4841	390	8	exists	exist	VERB
ejpam-4841	390	9	a	a	DET
ejpam-4841	390	10	positive	positive	ADJ
ejpam-4841	390	11	integer	integer	NOUN
ejpam-4841	390	12	n	n	CCONJ
ejpam-4841	390	13	such	such	ADJ
ejpam-4841	390	14	that	that	SCONJ
ejpam-4841	390	15	h(n	h(n	PROPN
ejpam-4841	390	16	)	)	PUNCT
ejpam-4841	391	1	=	=	PRON
ejpam-4841	391	2	{	{	PUNCT
ejpam-4841	391	3	0	0	NUM
ejpam-4841	391	4	}	}	PUNCT
ejpam-4841	391	5	,	,	PUNCT
ejpam-4841	391	6	a	a	DET
ejpam-4841	391	7	contradiction	contradiction	NOUN
ejpam-4841	391	8	.	.	PUNCT
ejpam-4841	392	1	hence	hence	ADV
ejpam-4841	392	2	,	,	PUNCT
ejpam-4841	392	3	h	h	NOUN
ejpam-4841	392	4	′	′	NUM
ejpam-4841	393	1	̸=	̸=	PROPN
ejpam-4841	393	2	h.	h.	PROPN
ejpam-4841	393	3	references	reference	NOUN
ejpam-4841	393	4	1672	1672	NUM
ejpam-4841	393	5	theorem	theorem	VERB
ejpam-4841	393	6	5	5	NUM
ejpam-4841	393	7	.	.	PUNCT
ejpam-4841	394	1	a	a	DET
ejpam-4841	394	2	finite	finite	ADJ
ejpam-4841	394	3	b	b	NOUN
ejpam-4841	394	4	-	-	PUNCT
ejpam-4841	394	5	algebra	algebra	NOUN
ejpam-4841	394	6	x	x	PUNCT
ejpam-4841	394	7	is	be	AUX
ejpam-4841	394	8	solvable	solvable	ADJ
ejpam-4841	394	9	if	if	SCONJ
ejpam-4841	394	10	and	and	CCONJ
ejpam-4841	394	11	only	only	ADV
ejpam-4841	394	12	if	if	SCONJ
ejpam-4841	394	13	h	h	NOUN
ejpam-4841	394	14	′	′	VERB
ejpam-4841	395	1	̸=	̸=	PROPN
ejpam-4841	395	2	h	h	NOUN
ejpam-4841	395	3	for	for	ADP
ejpam-4841	395	4	any	any	DET
ejpam-4841	395	5	subalgebra	subalgebra	NOUN
ejpam-4841	395	6	h	h	NOUN
ejpam-4841	395	7	̸=	̸=	PROPN
ejpam-4841	395	8	{	{	PUNCT
ejpam-4841	395	9	0	0	NUM
ejpam-4841	395	10	}	}	PUNCT
ejpam-4841	395	11	of	of	ADP
ejpam-4841	395	12	x.	x.	NOUN
ejpam-4841	395	13	proof	proof	NOUN
ejpam-4841	395	14	.	.	PUNCT
ejpam-4841	396	1	let	let	VERB
ejpam-4841	396	2	x	x	PRON
ejpam-4841	396	3	be	be	AUX
ejpam-4841	396	4	a	a	DET
ejpam-4841	396	5	finite	finite	ADJ
ejpam-4841	396	6	b	b	NOUN
ejpam-4841	396	7	-	-	PUNCT
ejpam-4841	396	8	algebra	algebra	NOUN
ejpam-4841	396	9	.	.	PUNCT
ejpam-4841	397	1	suppose	suppose	VERB
ejpam-4841	397	2	that	that	SCONJ
ejpam-4841	397	3	x	x	PRON
ejpam-4841	397	4	is	be	AUX
ejpam-4841	397	5	solvable	solvable	ADJ
ejpam-4841	397	6	.	.	PUNCT
ejpam-4841	398	1	by	by	ADP
ejpam-4841	398	2	proposition	proposition	NOUN
ejpam-4841	398	3	1	1	NUM
ejpam-4841	398	4	,	,	PUNCT
ejpam-4841	398	5	h	h	NOUN
ejpam-4841	398	6	′	′	NOUN
ejpam-4841	398	7	̸=	̸=	PROPN
ejpam-4841	398	8	h	h	NOUN
ejpam-4841	398	9	for	for	ADP
ejpam-4841	398	10	any	any	DET
ejpam-4841	398	11	subalgebra	subalgebra	NOUN
ejpam-4841	398	12	h	h	NOUN
ejpam-4841	398	13	̸=	̸=	PROPN
ejpam-4841	398	14	{	{	PUNCT
ejpam-4841	398	15	0	0	NUM
ejpam-4841	398	16	}	}	PUNCT
ejpam-4841	398	17	of	of	ADP
ejpam-4841	398	18	x.	x.	NOUN
ejpam-4841	398	19	conversely	conversely	ADV
ejpam-4841	398	20	,	,	PUNCT
ejpam-4841	398	21	suppose	suppose	VERB
ejpam-4841	398	22	that	that	SCONJ
ejpam-4841	398	23	h	h	NOUN
ejpam-4841	398	24	′	′	NUM
ejpam-4841	398	25	̸=	̸=	PROPN
ejpam-4841	398	26	h	h	NOUN
ejpam-4841	398	27	for	for	ADP
ejpam-4841	398	28	any	any	DET
ejpam-4841	398	29	subalgebra	subalgebra	NOUN
ejpam-4841	398	30	h	h	NOUN
ejpam-4841	398	31	̸=	̸=	PROPN
ejpam-4841	398	32	{	{	PUNCT
ejpam-4841	398	33	0	0	NUM
ejpam-4841	398	34	}	}	PUNCT
ejpam-4841	398	35	of	of	ADP
ejpam-4841	398	36	x.	x.	NOUN
ejpam-4841	398	37	then	then	ADV
ejpam-4841	398	38	x	x	SYM
ejpam-4841	398	39	̸=	̸=	PROPN
ejpam-4841	398	40	x	x	SYM
ejpam-4841	398	41	′.	′.	NOUN
ejpam-4841	398	42	thus	thus	ADV
ejpam-4841	398	43	,	,	PUNCT
ejpam-4841	398	44	x	x	PRON
ejpam-4841	398	45	′	′	X
ejpam-4841	399	1	⊂	⊂	X
ejpam-4841	399	2	x.	x.	NOUN
ejpam-4841	400	1	if	if	SCONJ
ejpam-4841	400	2	x(n	x(n	NOUN
ejpam-4841	400	3	)	)	PUNCT
ejpam-4841	400	4	̸=	̸=	PROPN
ejpam-4841	400	5	{	{	PUNCT
ejpam-4841	400	6	0	0	NUM
ejpam-4841	400	7	}	}	PUNCT
ejpam-4841	400	8	,	,	PUNCT
ejpam-4841	400	9	then	then	ADV
ejpam-4841	400	10	x(n	x(n	NOUN
ejpam-4841	400	11	)	)	PUNCT
ejpam-4841	400	12	̸=	̸=	PROPN
ejpam-4841	400	13	x(n+1	x(n+1	NUM
ejpam-4841	400	14	)	)	PUNCT
ejpam-4841	400	15	,	,	PUNCT
ejpam-4841	400	16	that	that	PRON
ejpam-4841	400	17	is	is	ADV
ejpam-4841	400	18	x(n+1	x(n+1	NUM
ejpam-4841	400	19	)	)	PUNCT
ejpam-4841	400	20	⊂	⊂	PROPN
ejpam-4841	400	21	x(n	x(n	NOUN
ejpam-4841	400	22	)	)	PUNCT
ejpam-4841	400	23	.	.	PUNCT
ejpam-4841	401	1	hence	hence	ADV
ejpam-4841	401	2	,	,	PUNCT
ejpam-4841	401	3	we	we	PRON
ejpam-4841	401	4	have	have	VERB
ejpam-4841	401	5	the	the	DET
ejpam-4841	401	6	following	follow	VERB
ejpam-4841	401	7	strictly	strictly	ADV
ejpam-4841	401	8	descending	descend	VERB
ejpam-4841	401	9	series	series	NOUN
ejpam-4841	401	10	of	of	ADP
ejpam-4841	401	11	subalgebras	subalgebras	PROPN
ejpam-4841	401	12	:	:	PUNCT
ejpam-4841	401	13	x	x	SYM
ejpam-4841	401	14	⊃	⊃	NOUN
ejpam-4841	401	15	x	x	SYM
ejpam-4841	401	16	′	′	NUM
ejpam-4841	401	17	⊃	⊃	X
ejpam-4841	401	18	·	·	PUNCT
ejpam-4841	401	19	·	·	PUNCT
ejpam-4841	401	20	·	·	PUNCT
ejpam-4841	401	21	⊃	⊃	X
ejpam-4841	401	22	x(n	x(n	NOUN
ejpam-4841	401	23	)	)	PUNCT
ejpam-4841	401	24	⊃	⊃	NOUN
ejpam-4841	401	25	x(n+1	x(n+1	PUNCT
ejpam-4841	401	26	)	)	PUNCT
ejpam-4841	401	27	⊃	⊃	PROPN
ejpam-4841	401	28	·	·	PUNCT
ejpam-4841	401	29	·	·	PUNCT
ejpam-4841	401	30	·	·	PUNCT
ejpam-4841	401	31	.	.	PUNCT
ejpam-4841	402	1	since	since	SCONJ
ejpam-4841	402	2	x	x	PRON
ejpam-4841	402	3	is	be	AUX
ejpam-4841	402	4	finite	finite	ADJ
ejpam-4841	402	5	and	and	CCONJ
ejpam-4841	402	6	h	h	NOUN
ejpam-4841	402	7	′	′	NUM
ejpam-4841	402	8	̸=	̸=	PROPN
ejpam-4841	402	9	h	h	NOUN
ejpam-4841	402	10	for	for	ADP
ejpam-4841	402	11	any	any	DET
ejpam-4841	402	12	subalgebra	subalgebra	NOUN
ejpam-4841	402	13	h	h	NOUN
ejpam-4841	402	14	̸=	̸=	PROPN
ejpam-4841	402	15	{	{	PUNCT
ejpam-4841	402	16	0	0	NUM
ejpam-4841	402	17	}	}	PUNCT
ejpam-4841	402	18	of	of	ADP
ejpam-4841	402	19	x	x	NOUN
ejpam-4841	402	20	,	,	PUNCT
ejpam-4841	402	21	there	there	PRON
ejpam-4841	402	22	exists	exist	VERB
ejpam-4841	402	23	a	a	DET
ejpam-4841	402	24	positive	positive	ADJ
ejpam-4841	402	25	integer	integer	NOUN
ejpam-4841	402	26	n	n	CCONJ
ejpam-4841	402	27	such	such	ADJ
ejpam-4841	402	28	that	that	SCONJ
ejpam-4841	402	29	x(n	x(n	NOUN
ejpam-4841	402	30	)	)	PUNCT
ejpam-4841	402	31	=	=	PRON
ejpam-4841	402	32	{	{	PUNCT
ejpam-4841	402	33	0	0	NUM
ejpam-4841	402	34	}	}	PUNCT
ejpam-4841	402	35	.	.	PUNCT
ejpam-4841	403	1	hence	hence	ADV
ejpam-4841	403	2	,	,	PUNCT
ejpam-4841	403	3	x	x	PRON
ejpam-4841	403	4	is	be	AUX
ejpam-4841	403	5	solvable	solvable	ADJ
ejpam-4841	403	6	.	.	PUNCT
ejpam-4841	404	1	example	example	NOUN
ejpam-4841	405	1	5	5	NUM
ejpam-4841	405	2	.	.	PUNCT
ejpam-4841	406	1	let	let	VERB
ejpam-4841	406	2	(	(	PUNCT
ejpam-4841	406	3	x	x	X
ejpam-4841	406	4	;	;	PUNCT
ejpam-4841	406	5	∗	∗	NOUN
ejpam-4841	406	6	,	,	PUNCT
ejpam-4841	406	7	0	0	NUM
ejpam-4841	406	8	)	)	PUNCT
ejpam-4841	406	9	be	be	VERB
ejpam-4841	406	10	the	the	DET
ejpam-4841	406	11	noncommutative	noncommutative	ADJ
ejpam-4841	406	12	b	b	NOUN
ejpam-4841	406	13	-	-	PUNCT
ejpam-4841	406	14	algebra	algebra	NOUN
ejpam-4841	406	15	in	in	ADP
ejpam-4841	406	16	example	example	NOUN
ejpam-4841	406	17	2	2	NUM
ejpam-4841	406	18	.	.	PUNCT
ejpam-4841	407	1	the	the	DET
ejpam-4841	407	2	nontrivial	nontrivial	ADJ
ejpam-4841	407	3	subalgebras	subalgebra	NOUN
ejpam-4841	407	4	of	of	ADP
ejpam-4841	407	5	x	x	SYM
ejpam-4841	407	6	are	be	AUX
ejpam-4841	407	7	the	the	DET
ejpam-4841	407	8	following	following	NOUN
ejpam-4841	407	9	:	:	PUNCT
ejpam-4841	407	10	h1	h1	PROPN
ejpam-4841	407	11	=	=	SYM
ejpam-4841	407	12	{	{	PUNCT
ejpam-4841	407	13	0	0	NUM
ejpam-4841	407	14	,	,	PUNCT
ejpam-4841	407	15	3	3	NUM
ejpam-4841	407	16	}	}	PUNCT
ejpam-4841	407	17	,	,	PUNCT
ejpam-4841	407	18	h2	h2	NOUN
ejpam-4841	407	19	=	=	PUNCT
ejpam-4841	407	20	{	{	PUNCT
ejpam-4841	407	21	0	0	NUM
ejpam-4841	407	22	,	,	PUNCT
ejpam-4841	407	23	4	4	NUM
ejpam-4841	407	24	}	}	PUNCT
ejpam-4841	407	25	,	,	PUNCT
ejpam-4841	407	26	h3	h3	NOUN
ejpam-4841	407	27	=	=	SYM
ejpam-4841	407	28	{	{	PUNCT
ejpam-4841	407	29	0	0	NUM
ejpam-4841	407	30	,	,	PUNCT
ejpam-4841	407	31	5	5	NUM
ejpam-4841	407	32	}	}	PUNCT
ejpam-4841	407	33	,	,	PUNCT
ejpam-4841	407	34	h4	h4	PROPN
ejpam-4841	407	35	=	=	SYM
ejpam-4841	407	36	{	{	PUNCT
ejpam-4841	407	37	0	0	NUM
ejpam-4841	407	38	,	,	PUNCT
ejpam-4841	407	39	1	1	NUM
ejpam-4841	407	40	,	,	PUNCT
ejpam-4841	407	41	2	2	NUM
ejpam-4841	407	42	}	}	PUNCT
ejpam-4841	407	43	.	.	PUNCT
ejpam-4841	408	1	clearly	clearly	ADV
ejpam-4841	408	2	,	,	PUNCT
ejpam-4841	408	3	from	from	ADP
ejpam-4841	408	4	the	the	DET
ejpam-4841	408	5	computations	computation	NOUN
ejpam-4841	408	6	in	in	ADP
ejpam-4841	408	7	example	example	NOUN
ejpam-4841	408	8	3	3	NUM
ejpam-4841	408	9	,	,	PUNCT
ejpam-4841	408	10	we	we	PRON
ejpam-4841	408	11	get	get	VERB
ejpam-4841	408	12	h	h	NOUN
ejpam-4841	408	13	′	′	NOUN
ejpam-4841	409	1	1	1	NUM
ejpam-4841	409	2	=	=	SYM
ejpam-4841	409	3	{	{	PUNCT
ejpam-4841	409	4	0	0	NUM
ejpam-4841	409	5	}	}	PUNCT
ejpam-4841	409	6	=	=	ADJ
ejpam-4841	409	7	̸	̸	X
ejpam-4841	409	8	h1	h1	ADJ
ejpam-4841	409	9	,	,	PUNCT
ejpam-4841	409	10	h	h	NOUN
ejpam-4841	410	1	′	′	NOUN
ejpam-4841	410	2	2	2	NUM
ejpam-4841	410	3	=	=	SYM
ejpam-4841	410	4	{	{	PUNCT
ejpam-4841	410	5	0	0	NUM
ejpam-4841	410	6	}	}	PUNCT
ejpam-4841	410	7	=	=	ADJ
ejpam-4841	410	8	̸	̸	NUM
ejpam-4841	410	9	h2	h2	NOUN
ejpam-4841	410	10	,	,	PUNCT
ejpam-4841	410	11	h	h	NOUN
ejpam-4841	411	1	′	′	NOUN
ejpam-4841	411	2	3	3	NUM
ejpam-4841	411	3	=	=	SYM
ejpam-4841	411	4	{	{	PUNCT
ejpam-4841	411	5	0	0	NUM
ejpam-4841	411	6	}	}	PUNCT
ejpam-4841	411	7	=	=	NOUN
ejpam-4841	411	8	̸	̸	NUM
ejpam-4841	411	9	h3	h3	NOUN
ejpam-4841	411	10	,	,	PUNCT
ejpam-4841	411	11	and	and	CCONJ
ejpam-4841	411	12	h	h	NOUN
ejpam-4841	411	13	′	′	NOUN
ejpam-4841	412	1	4	4	NUM
ejpam-4841	412	2	=	=	SYM
ejpam-4841	412	3	{	{	PUNCT
ejpam-4841	412	4	0	0	NUM
ejpam-4841	412	5	}	}	PUNCT
ejpam-4841	412	6	=	=	ADJ
ejpam-4841	412	7	̸	̸	NUM
ejpam-4841	412	8	h4	h4	NOUN
ejpam-4841	412	9	.	.	PUNCT
ejpam-4841	413	1	in	in	ADP
ejpam-4841	413	2	example	example	NOUN
ejpam-4841	413	3	4	4	NUM
ejpam-4841	413	4	,	,	PUNCT
ejpam-4841	413	5	x	x	NOUN
ejpam-4841	413	6	′	′	NOUN
ejpam-4841	413	7	=	=	SYM
ejpam-4841	413	8	{	{	PUNCT
ejpam-4841	413	9	0	0	NUM
ejpam-4841	413	10	,	,	PUNCT
ejpam-4841	413	11	1	1	NUM
ejpam-4841	413	12	,	,	PUNCT
ejpam-4841	413	13	2	2	NUM
ejpam-4841	413	14	}	}	PUNCT
ejpam-4841	413	15	=	=	NUM
ejpam-4841	413	16	̸	̸	X
ejpam-4841	413	17	x.	x.	NOUN
ejpam-4841	414	1	hence	hence	ADV
ejpam-4841	414	2	,	,	PUNCT
ejpam-4841	414	3	h	h	NOUN
ejpam-4841	414	4	′	′	NUM
ejpam-4841	415	1	̸=	̸=	PROPN
ejpam-4841	415	2	h	h	NOUN
ejpam-4841	415	3	for	for	ADP
ejpam-4841	415	4	any	any	DET
ejpam-4841	415	5	subalgebra	subalgebra	NOUN
ejpam-4841	415	6	h	h	NOUN
ejpam-4841	415	7	̸=	̸=	PROPN
ejpam-4841	415	8	{	{	PUNCT
ejpam-4841	415	9	0	0	NUM
ejpam-4841	415	10	}	}	PUNCT
ejpam-4841	415	11	of	of	ADP
ejpam-4841	415	12	x.	x.	NOUN
ejpam-4841	415	13	therefore	therefore	ADV
ejpam-4841	415	14	,	,	PUNCT
ejpam-4841	415	15	by	by	ADP
ejpam-4841	415	16	theorem	theorem	NOUN
ejpam-4841	415	17	5	5	NUM
ejpam-4841	415	18	,	,	PUNCT
ejpam-4841	415	19	x	x	X
ejpam-4841	415	20	is	be	AUX
ejpam-4841	415	21	solvable	solvable	ADJ
ejpam-4841	415	22	,	,	PUNCT
ejpam-4841	415	23	which	which	PRON
ejpam-4841	415	24	confirms	confirm	VERB
ejpam-4841	415	25	the	the	DET
ejpam-4841	415	26	result	result	NOUN
ejpam-4841	415	27	in	in	ADP
ejpam-4841	415	28	[	[	X
ejpam-4841	415	29	8	8	NUM
ejpam-4841	415	30	,	,	PUNCT
ejpam-4841	415	31	example	example	NOUN
ejpam-4841	415	32	11	11	NUM
ejpam-4841	415	33	]	]	PUNCT
ejpam-4841	415	34	.	.	PUNCT
ejpam-4841	416	1	4	4	X
ejpam-4841	416	2	.	.	X
ejpam-4841	416	3	conclusion	conclusion	NOUN
ejpam-4841	416	4	we	we	PRON
ejpam-4841	416	5	established	establish	VERB
ejpam-4841	416	6	some	some	DET
ejpam-4841	416	7	basic	basic	ADJ
ejpam-4841	416	8	properties	property	NOUN
ejpam-4841	416	9	of	of	ADP
ejpam-4841	416	10	b	b	NOUN
ejpam-4841	416	11	-	-	PUNCT
ejpam-4841	416	12	commutators	commutator	NOUN
ejpam-4841	416	13	of	of	ADP
ejpam-4841	416	14	b	b	NOUN
ejpam-4841	416	15	-	-	PUNCT
ejpam-4841	416	16	algebras	algebras	X
ejpam-4841	416	17	.	.	PUNCT
ejpam-4841	417	1	these	these	DET
ejpam-4841	417	2	properties	property	NOUN
ejpam-4841	417	3	are	be	AUX
ejpam-4841	417	4	used	use	VERB
ejpam-4841	417	5	in	in	ADP
ejpam-4841	417	6	characterizing	characterize	VERB
ejpam-4841	417	7	solvable	solvable	ADJ
ejpam-4841	417	8	b	b	NOUN
ejpam-4841	417	9	-	-	PUNCT
ejpam-4841	417	10	algebras	algebras	NOUN
ejpam-4841	417	11	via	via	ADP
ejpam-4841	417	12	b	b	NOUN
ejpam-4841	417	13	-	-	PUNCT
ejpam-4841	417	14	commutators	commutator	NOUN
ejpam-4841	417	15	.	.	PUNCT
ejpam-4841	418	1	as	as	ADP
ejpam-4841	418	2	a	a	DET
ejpam-4841	418	3	result	result	NOUN
ejpam-4841	418	4	,	,	PUNCT
ejpam-4841	418	5	we	we	PRON
ejpam-4841	418	6	showed	show	VERB
ejpam-4841	418	7	that	that	SCONJ
ejpam-4841	418	8	a	a	DET
ejpam-4841	418	9	b	b	NOUN
ejpam-4841	418	10	-	-	PUNCT
ejpam-4841	418	11	algebra	algebra	NOUN
ejpam-4841	418	12	x	x	PUNCT
ejpam-4841	418	13	is	be	AUX
ejpam-4841	418	14	solvable	solvable	ADJ
ejpam-4841	418	15	if	if	SCONJ
ejpam-4841	418	16	and	and	CCONJ
ejpam-4841	418	17	only	only	ADV
ejpam-4841	418	18	if	if	SCONJ
ejpam-4841	418	19	there	there	PRON
ejpam-4841	418	20	is	be	VERB
ejpam-4841	418	21	positive	positive	ADJ
ejpam-4841	418	22	integer	integer	NOUN
ejpam-4841	418	23	m	m	VERB
ejpam-4841	418	24	such	such	ADJ
ejpam-4841	418	25	that	that	SCONJ
ejpam-4841	418	26	the	the	DET
ejpam-4841	418	27	mth	mth	NOUN
ejpam-4841	418	28	b	b	NOUN
ejpam-4841	418	29	-	-	PUNCT
ejpam-4841	418	30	commutator	commutator	NOUN
ejpam-4841	418	31	subalgebra	subalgebra	NOUN
ejpam-4841	418	32	x(m	x(m	PROPN
ejpam-4841	418	33	)	)	PUNCT
ejpam-4841	418	34	is	be	AUX
ejpam-4841	418	35	equal	equal	ADJ
ejpam-4841	418	36	to	to	ADP
ejpam-4841	418	37	{	{	PUNCT
ejpam-4841	418	38	0	0	NUM
ejpam-4841	418	39	}	}	PUNCT
ejpam-4841	418	40	.	.	PUNCT
ejpam-4841	419	1	acknowledgements	acknowledgement	VERB
ejpam-4841	419	2	the	the	DET
ejpam-4841	419	3	author	author	NOUN
ejpam-4841	419	4	would	would	AUX
ejpam-4841	419	5	like	like	VERB
ejpam-4841	419	6	to	to	PART
ejpam-4841	419	7	thank	thank	VERB
ejpam-4841	419	8	the	the	DET
ejpam-4841	419	9	referees	referee	NOUN
ejpam-4841	419	10	for	for	ADP
ejpam-4841	419	11	the	the	DET
ejpam-4841	419	12	comments	comment	NOUN
ejpam-4841	419	13	and	and	CCONJ
ejpam-4841	419	14	suggestions	suggestion	NOUN
ejpam-4841	419	15	which	which	PRON
ejpam-4841	419	16	were	be	AUX
ejpam-4841	419	17	incorporated	incorporate	VERB
ejpam-4841	419	18	into	into	ADP
ejpam-4841	419	19	this	this	DET
ejpam-4841	419	20	revised	revise	VERB
ejpam-4841	419	21	version	version	NOUN
ejpam-4841	419	22	.	.	PUNCT
ejpam-4841	420	1	references	reference	NOUN
ejpam-4841	420	2	[	[	X
ejpam-4841	420	3	1	1	NUM
ejpam-4841	420	4	]	]	X
ejpam-4841	420	5	j	j	PROPN
ejpam-4841	420	6	bantug	bantug	PROPN
ejpam-4841	420	7	and	and	CCONJ
ejpam-4841	420	8	j	j	PROPN
ejpam-4841	420	9	endam	endam	PROPN
ejpam-4841	420	10	.	.	PUNCT
ejpam-4841	421	1	lagrange	lagrange	PROPN
ejpam-4841	421	2	’s	’s	PART
ejpam-4841	421	3	theorem	theorem	NOUN
ejpam-4841	421	4	for	for	ADP
ejpam-4841	421	5	b	b	NOUN
ejpam-4841	421	6	-	-	PUNCT
ejpam-4841	421	7	algebras	algebras	PROPN
ejpam-4841	421	8	.	.	PUNCT
ejpam-4841	422	1	int	int	NOUN
ejpam-4841	422	2	.	.	PUNCT
ejpam-4841	423	1	j.	j.	PROPN
ejpam-4841	423	2	algebra	algebra	PROPN
ejpam-4841	423	3	,	,	PUNCT
ejpam-4841	423	4	11:15–23	11:15–23	NUM
ejpam-4841	423	5	,	,	PUNCT
ejpam-4841	423	6	2007	2007	NUM
ejpam-4841	423	7	.	.	PUNCT
ejpam-4841	424	1	[	[	X
ejpam-4841	424	2	2	2	NUM
ejpam-4841	424	3	]	]	SYM
ejpam-4841	424	4	j	j	PROPN
ejpam-4841	424	5	bantug	bantug	PROPN
ejpam-4841	424	6	and	and	CCONJ
ejpam-4841	424	7	j	j	PROPN
ejpam-4841	424	8	endam	endam	PROPN
ejpam-4841	424	9	.	.	PUNCT
ejpam-4841	425	1	maximal	maximal	ADJ
ejpam-4841	425	2	bp	bp	PROPN
ejpam-4841	425	3	-	-	PUNCT
ejpam-4841	425	4	subalgebras	subalgebras	PROPN
ejpam-4841	425	5	of	of	ADP
ejpam-4841	425	6	b	b	PROPN
ejpam-4841	425	7	-	-	PUNCT
ejpam-4841	425	8	algebras	algebras	X
ejpam-4841	425	9	.	.	PUNCT
ejpam-4841	426	1	discuss	discuss	PROPN
ejpam-4841	426	2	.	.	PUNCT
ejpam-4841	426	3	math	math	NOUN
ejpam-4841	426	4	.	.	PUNCT
ejpam-4841	427	1	gen	gen	PROPN
ejpam-4841	427	2	.	.	PROPN
ejpam-4841	427	3	algebra	algebra	PROPN
ejpam-4841	427	4	appl	appl	PROPN
ejpam-4841	427	5	.	.	PROPN
ejpam-4841	427	6	,	,	PUNCT
ejpam-4841	427	7	40:25–36	40:25–36	NUM
ejpam-4841	427	8	,	,	PUNCT
ejpam-4841	427	9	2020	2020	NUM
ejpam-4841	427	10	.	.	PUNCT
ejpam-4841	428	1	[	[	X
ejpam-4841	428	2	3	3	X
ejpam-4841	428	3	]	]	X
ejpam-4841	428	4	j	j	PROPN
ejpam-4841	428	5	cho	cho	PROPN
ejpam-4841	428	6	and	and	CCONJ
ejpam-4841	428	7	h	h	PROPN
ejpam-4841	428	8	kim	kim	PROPN
ejpam-4841	428	9	.	.	PUNCT
ejpam-4841	429	1	on	on	ADP
ejpam-4841	429	2	b	b	NOUN
ejpam-4841	429	3	-	-	PUNCT
ejpam-4841	429	4	algebras	algebra	NOUN
ejpam-4841	429	5	and	and	CCONJ
ejpam-4841	429	6	quasigroups	quasigroup	NOUN
ejpam-4841	429	7	.	.	PUNCT
ejpam-4841	430	1	quasigroups	quasigroup	NOUN
ejpam-4841	430	2	and	and	CCONJ
ejpam-4841	430	3	related	related	ADJ
ejpam-4841	430	4	systems	system	NOUN
ejpam-4841	430	5	,	,	PUNCT
ejpam-4841	430	6	8:1–6	8:1–6	NUM
ejpam-4841	430	7	,	,	PUNCT
ejpam-4841	430	8	2001	2001	NUM
ejpam-4841	430	9	.	.	PUNCT
ejpam-4841	431	1	[	[	X
ejpam-4841	431	2	4	4	NUM
ejpam-4841	431	3	]	]	X
ejpam-4841	431	4	j	j	PROPN
ejpam-4841	431	5	endam	endam	PROPN
ejpam-4841	431	6	.	.	PUNCT
ejpam-4841	431	7	centralizer	centralizer	NOUN
ejpam-4841	431	8	and	and	CCONJ
ejpam-4841	431	9	normalizer	normalizer	NOUN
ejpam-4841	431	10	of	of	ADP
ejpam-4841	431	11	b	b	PROPN
ejpam-4841	431	12	-	-	PUNCT
ejpam-4841	431	13	algebras	algebra	NOUN
ejpam-4841	431	14	.	.	PUNCT
ejpam-4841	432	1	sci	sci	PROPN
ejpam-4841	432	2	.	.	PROPN
ejpam-4841	432	3	math	math	PROPN
ejpam-4841	432	4	.	.	PUNCT
ejpam-4841	433	1	jpn	jpn	PROPN
ejpam-4841	433	2	.	.	PROPN
ejpam-4841	433	3	,	,	PUNCT
ejpam-4841	433	4	81:17–23	81:17–23	PROPN
ejpam-4841	433	5	,	,	PUNCT
ejpam-4841	433	6	2018	2018	NUM
ejpam-4841	433	7	.	.	PUNCT
ejpam-4841	434	1	references	reference	NOUN
ejpam-4841	434	2	1673	1673	NUM
ejpam-4841	434	3	[	[	X
ejpam-4841	434	4	5	5	NUM
ejpam-4841	434	5	]	]	X
ejpam-4841	434	6	j	j	PROPN
ejpam-4841	434	7	endam	endam	NOUN
ejpam-4841	434	8	.	.	PUNCT
ejpam-4841	435	1	a	a	DET
ejpam-4841	435	2	note	note	NOUN
ejpam-4841	435	3	on	on	ADP
ejpam-4841	435	4	maximal	maximal	ADJ
ejpam-4841	435	5	bp	bp	PROPN
ejpam-4841	435	6	-	-	PUNCT
ejpam-4841	435	7	subalgebras	subalgebras	PROPN
ejpam-4841	435	8	of	of	ADP
ejpam-4841	435	9	b	b	PROPN
ejpam-4841	435	10	-	-	PUNCT
ejpam-4841	435	11	algebras	algebras	PROPN
ejpam-4841	435	12	.	.	PUNCT
ejpam-4841	436	1	afr	afr	PROPN
ejpam-4841	436	2	.	.	PUNCT
ejpam-4841	437	1	mat	mat	PROPN
ejpam-4841	437	2	.	.	PROPN
ejpam-4841	437	3	,	,	PUNCT
ejpam-4841	437	4	34:5	34:5	NUM
ejpam-4841	437	5	,	,	PUNCT
ejpam-4841	437	6	2023	2023	NUM
ejpam-4841	437	7	.	.	PUNCT
ejpam-4841	438	1	[	[	X
ejpam-4841	438	2	6	6	NUM
ejpam-4841	438	3	]	]	X
ejpam-4841	438	4	j	j	PROPN
ejpam-4841	438	5	endam	endam	PROPN
ejpam-4841	438	6	and	and	CCONJ
ejpam-4841	438	7	e	e	PROPN
ejpam-4841	438	8	banagua	banagua	NOUN
ejpam-4841	438	9	.	.	PUNCT
ejpam-4841	439	1	b	b	X
ejpam-4841	439	2	-	-	PUNCT
ejpam-4841	439	3	algebras	algebras	ADV
ejpam-4841	439	4	acting	act	VERB
ejpam-4841	439	5	on	on	ADP
ejpam-4841	439	6	sets	set	NOUN
ejpam-4841	439	7	.	.	PUNCT
ejpam-4841	440	1	sci	sci	PROPN
ejpam-4841	440	2	.	.	PROPN
ejpam-4841	440	3	math	math	PROPN
ejpam-4841	440	4	.	.	PUNCT
ejpam-4841	441	1	jpn	jpn	PROPN
ejpam-4841	441	2	.	.	PROPN
ejpam-4841	441	3	,	,	PUNCT
ejpam-4841	441	4	2:1–7	2:1–7	NUM
ejpam-4841	441	5	,	,	PUNCT
ejpam-4841	441	6	2018	2018	NUM
ejpam-4841	441	7	.	.	PUNCT
ejpam-4841	442	1	[	[	X
ejpam-4841	442	2	7	7	X
ejpam-4841	442	3	]	]	X
ejpam-4841	442	4	j	j	PROPN
ejpam-4841	442	5	endam	endam	PROPN
ejpam-4841	442	6	and	and	CCONJ
ejpam-4841	442	7	j	j	PROPN
ejpam-4841	442	8	bantug	bantug	PROPN
ejpam-4841	442	9	.	.	PUNCT
ejpam-4841	443	1	cauchy	cauchy	PROPN
ejpam-4841	443	2	’s	’s	PART
ejpam-4841	443	3	theorem	theorem	NOUN
ejpam-4841	443	4	for	for	ADP
ejpam-4841	443	5	b	b	NOUN
ejpam-4841	443	6	-	-	PUNCT
ejpam-4841	443	7	algebras	algebra	NOUN
ejpam-4841	443	8	.	.	PUNCT
ejpam-4841	444	1	sci	sci	PROPN
ejpam-4841	444	2	.	.	PROPN
ejpam-4841	444	3	math	math	PROPN
ejpam-4841	444	4	.	.	PUNCT
ejpam-4841	445	1	jpn	jpn	PROPN
ejpam-4841	445	2	.	.	PROPN
ejpam-4841	445	3	,	,	PUNCT
ejpam-4841	445	4	82:221	82:221	NUM
ejpam-4841	445	5	–	–	PUNCT
ejpam-4841	445	6	228	228	NUM
ejpam-4841	445	7	,	,	PUNCT
ejpam-4841	445	8	2019	2019	NUM
ejpam-4841	445	9	.	.	PUNCT
ejpam-4841	446	1	[	[	X
ejpam-4841	446	2	8	8	NUM
ejpam-4841	446	3	]	]	X
ejpam-4841	446	4	j	j	PROPN
ejpam-4841	446	5	endam	endam	NOUN
ejpam-4841	446	6	and	and	CCONJ
ejpam-4841	446	7	g	g	PROPN
ejpam-4841	446	8	dael	dael	PROPN
ejpam-4841	446	9	.	.	PUNCT
ejpam-4841	447	1	solvability	solvability	NOUN
ejpam-4841	447	2	of	of	ADP
ejpam-4841	447	3	b	b	NOUN
ejpam-4841	447	4	-	-	PUNCT
ejpam-4841	447	5	algebras	algebras	X
ejpam-4841	447	6	.	.	PUNCT
ejpam-4841	448	1	discuss	discuss	PROPN
ejpam-4841	448	2	.	.	PUNCT
ejpam-4841	448	3	math	math	NOUN
ejpam-4841	448	4	.	.	PUNCT
ejpam-4841	449	1	gen	gen	PROPN
ejpam-4841	449	2	.	.	PROPN
ejpam-4841	449	3	algebra	algebra	PROPN
ejpam-4841	449	4	appl	appl	PROPN
ejpam-4841	449	5	.	.	PROPN
ejpam-4841	449	6	,	,	PUNCT
ejpam-4841	449	7	to	to	PART
ejpam-4841	449	8	appear	appear	VERB
ejpam-4841	449	9	.	.	PUNCT
ejpam-4841	450	1	[	[	X
ejpam-4841	450	2	9	9	NUM
ejpam-4841	450	3	]	]	X
ejpam-4841	450	4	j	j	PROPN
ejpam-4841	450	5	endam	endam	NOUN
ejpam-4841	450	6	and	and	CCONJ
ejpam-4841	450	7	a	a	DET
ejpam-4841	450	8	mamhot	mamhot	NOUN
ejpam-4841	450	9	.	.	PUNCT
ejpam-4841	451	1	on	on	ADP
ejpam-4841	451	2	blo	blo	NOUN
ejpam-4841	451	3	-	-	PUNCT
ejpam-4841	451	4	algebras	algebra	NOUN
ejpam-4841	451	5	.	.	PUNCT
ejpam-4841	452	1	asian	asian	ADJ
ejpam-4841	452	2	-	-	PUNCT
ejpam-4841	452	3	eur	eur	NOUN
ejpam-4841	452	4	.	.	PUNCT
ejpam-4841	453	1	j.	j.	PROPN
ejpam-4841	453	2	math	math	PROPN
ejpam-4841	453	3	.	.	PUNCT
ejpam-4841	453	4	,	,	PUNCT
ejpam-4841	453	5	16:225–234	16:225–234	NUM
ejpam-4841	453	6	,	,	PUNCT
ejpam-4841	453	7	2023	2023	NUM
ejpam-4841	453	8	.	.	PUNCT
ejpam-4841	454	1	[	[	X
ejpam-4841	454	2	10	10	NUM
ejpam-4841	454	3	]	]	X
ejpam-4841	454	4	j	j	PROPN
ejpam-4841	454	5	endam	endam	NOUN
ejpam-4841	454	6	and	and	CCONJ
ejpam-4841	454	7	r	r	NOUN
ejpam-4841	454	8	teves	teve	NOUN
ejpam-4841	454	9	.	.	PUNCT
ejpam-4841	455	1	some	some	DET
ejpam-4841	455	2	properties	property	NOUN
ejpam-4841	455	3	of	of	ADP
ejpam-4841	455	4	cyclic	cyclic	ADJ
ejpam-4841	455	5	b	b	NOUN
ejpam-4841	455	6	-	-	PUNCT
ejpam-4841	455	7	algebras	algebras	PROPN
ejpam-4841	455	8	.	.	PUNCT
ejpam-4841	456	1	int	int	NOUN
ejpam-4841	456	2	.	.	PUNCT
ejpam-4841	457	1	math	math	NOUN
ejpam-4841	457	2	.	.	PUNCT
ejpam-4841	458	1	forum	forum	PROPN
ejpam-4841	458	2	,	,	PUNCT
ejpam-4841	458	3	11:387–394	11:387–394	NUM
ejpam-4841	458	4	,	,	PUNCT
ejpam-4841	458	5	2016	2016	NUM
ejpam-4841	458	6	.	.	PUNCT
ejpam-4841	459	1	[	[	X
ejpam-4841	459	2	11	11	NUM
ejpam-4841	459	3	]	]	X
ejpam-4841	459	4	j	j	PROPN
ejpam-4841	459	5	endam	endam	PROPN
ejpam-4841	459	6	and	and	CCONJ
ejpam-4841	459	7	j	j	PROPN
ejpam-4841	459	8	vilela	vilela	NOUN
ejpam-4841	459	9	.	.	PUNCT
ejpam-4841	460	1	the	the	DET
ejpam-4841	460	2	second	second	ADJ
ejpam-4841	460	3	isomorphism	isomorphism	NOUN
ejpam-4841	460	4	theorem	theorem	NOUN
ejpam-4841	460	5	for	for	ADP
ejpam-4841	460	6	b	b	NOUN
ejpam-4841	460	7	-	-	PUNCT
ejpam-4841	460	8	algebras	algebras	PROPN
ejpam-4841	460	9	.	.	PUNCT
ejpam-4841	461	1	appl	appl	PROPN
ejpam-4841	461	2	.	.	PROPN
ejpam-4841	461	3	math	math	PROPN
ejpam-4841	461	4	.	.	PUNCT
ejpam-4841	462	1	sci	sci	PROPN
ejpam-4841	462	2	.	.	PROPN
ejpam-4841	462	3	,	,	PUNCT
ejpam-4841	462	4	8:1865–1872	8:1865–1872	NUM
ejpam-4841	462	5	,	,	PUNCT
ejpam-4841	462	6	2014	2014	NUM
ejpam-4841	462	7	.	.	PUNCT
ejpam-4841	463	1	[	[	X
ejpam-4841	463	2	12	12	NUM
ejpam-4841	463	3	]	]	PUNCT
ejpam-4841	463	4	n	n	PRON
ejpam-4841	463	5	gonzaga	gonzaga	NOUN
ejpam-4841	463	6	and	and	CCONJ
ejpam-4841	463	7	j	j	PROPN
ejpam-4841	463	8	vilela	vilela	NOUN
ejpam-4841	463	9	.	.	PUNCT
ejpam-4841	464	1	on	on	ADP
ejpam-4841	464	2	cyclic	cyclic	PROPN
ejpam-4841	464	3	b	b	NOUN
ejpam-4841	464	4	-	-	PUNCT
ejpam-4841	464	5	algebras	algebras	PROPN
ejpam-4841	464	6	.	.	PUNCT
ejpam-4841	464	7	appl	appl	PROPN
ejpam-4841	464	8	.	.	PROPN
ejpam-4841	464	9	math	math	PROPN
ejpam-4841	464	10	.	.	PUNCT
ejpam-4841	465	1	sci	sci	PROPN
ejpam-4841	465	2	.	.	PROPN
ejpam-4841	465	3	,	,	PUNCT
ejpam-4841	465	4	9:5507–5522	9:5507–5522	NUM
ejpam-4841	465	5	,	,	PUNCT
ejpam-4841	465	6	2015	2015	NUM
ejpam-4841	465	7	.	.	PUNCT
ejpam-4841	466	1	[	[	X
ejpam-4841	466	2	13	13	NUM
ejpam-4841	466	3	]	]	X
ejpam-4841	466	4	q	q	PROPN
ejpam-4841	466	5	hu	hu	PROPN
ejpam-4841	466	6	and	and	CCONJ
ejpam-4841	466	7	x	x	PROPN
ejpam-4841	466	8	li	li	PROPN
ejpam-4841	466	9	.	.	PROPN
ejpam-4841	466	10	on	on	ADP
ejpam-4841	466	11	bch	bch	PROPN
ejpam-4841	466	12	-	-	PUNCT
ejpam-4841	466	13	algebras	algebras	PROPN
ejpam-4841	466	14	.	.	PUNCT
ejpam-4841	467	1	math	math	NOUN
ejpam-4841	467	2	.	.	PUNCT
ejpam-4841	468	1	seminar	seminar	NOUN
ejpam-4841	468	2	notes	note	NOUN
ejpam-4841	468	3	,	,	PUNCT
ejpam-4841	468	4	11:313–320	11:313–320	PROPN
ejpam-4841	468	5	,	,	PUNCT
ejpam-4841	468	6	1983	1983	NUM
ejpam-4841	468	7	.	.	PUNCT
ejpam-4841	469	1	[	[	X
ejpam-4841	469	2	14	14	NUM
ejpam-4841	469	3	]	]	X
ejpam-4841	469	4	y	y	PROPN
ejpam-4841	469	5	imai	imai	PROPN
ejpam-4841	469	6	and	and	CCONJ
ejpam-4841	469	7	k	k	PROPN
ejpam-4841	469	8	iseki	iseki	PROPN
ejpam-4841	469	9	.	.	PUNCT
ejpam-4841	470	1	on	on	ADP
ejpam-4841	470	2	axiom	axiom	NOUN
ejpam-4841	470	3	system	system	NOUN
ejpam-4841	470	4	of	of	ADP
ejpam-4841	470	5	propositional	propositional	ADJ
ejpam-4841	470	6	calculi	calculi	PROPN
ejpam-4841	470	7	.	.	PUNCT
ejpam-4841	471	1	proc	proc	PROPN
ejpam-4841	471	2	.	.	PUNCT
ejpam-4841	472	1	japan	japan	PROPN
ejpam-4841	472	2	acad	acad	PROPN
ejpam-4841	472	3	.	.	PUNCT
ejpam-4841	473	1	ser	ser	PROPN
ejpam-4841	473	2	.	.	PUNCT
ejpam-4841	474	1	a	a	DET
ejpam-4841	474	2	math	math	NOUN
ejpam-4841	474	3	.	.	PUNCT
ejpam-4841	475	1	sci	sci	PROPN
ejpam-4841	475	2	.	.	PROPN
ejpam-4841	475	3	,	,	PUNCT
ejpam-4841	475	4	42:19–22	42:19–22	NUM
ejpam-4841	475	5	,	,	PUNCT
ejpam-4841	475	6	1966	1966	NUM
ejpam-4841	475	7	.	.	PUNCT
ejpam-4841	476	1	[	[	X
ejpam-4841	476	2	15	15	NUM
ejpam-4841	476	3	]	]	X
ejpam-4841	476	4	k	k	PROPN
ejpam-4841	476	5	iseki	iseki	PROPN
ejpam-4841	476	6	.	.	PUNCT
ejpam-4841	477	1	an	an	DET
ejpam-4841	477	2	algebra	algebra	NOUN
ejpam-4841	477	3	related	relate	VERB
ejpam-4841	477	4	with	with	ADP
ejpam-4841	477	5	a	a	DET
ejpam-4841	477	6	propositional	propositional	ADJ
ejpam-4841	477	7	calculus	calculus	NOUN
ejpam-4841	477	8	.	.	PUNCT
ejpam-4841	478	1	proc	proc	PROPN
ejpam-4841	478	2	.	.	PUNCT
ejpam-4841	479	1	japan	japan	PROPN
ejpam-4841	479	2	acad	acad	PROPN
ejpam-4841	479	3	.	.	PUNCT
ejpam-4841	480	1	ser	ser	PROPN
ejpam-4841	480	2	.	.	PUNCT
ejpam-4841	481	1	a	a	DET
ejpam-4841	481	2	math	math	NOUN
ejpam-4841	481	3	.	.	PUNCT
ejpam-4841	482	1	sci	sci	PROPN
ejpam-4841	482	2	.	.	PROPN
ejpam-4841	482	3	,	,	PUNCT
ejpam-4841	482	4	42:26–29	42:26–29	PROPN
ejpam-4841	482	5	,	,	PUNCT
ejpam-4841	482	6	1966	1966	NUM
ejpam-4841	482	7	.	.	PUNCT
ejpam-4841	483	1	[	[	X
ejpam-4841	483	2	16	16	NUM
ejpam-4841	483	3	]	]	X
ejpam-4841	483	4	h	h	NOUN
ejpam-4841	483	5	kim	kim	PROPN
ejpam-4841	483	6	and	and	CCONJ
ejpam-4841	483	7	h	h	PROPN
ejpam-4841	483	8	park	park	NOUN
ejpam-4841	483	9	.	.	PUNCT
ejpam-4841	484	1	b	b	X
ejpam-4841	484	2	-	-	PUNCT
ejpam-4841	484	3	algebras	algebra	NOUN
ejpam-4841	484	4	and	and	CCONJ
ejpam-4841	484	5	groups	group	NOUN
ejpam-4841	484	6	.	.	PUNCT
ejpam-4841	485	1	sci	sci	PROPN
ejpam-4841	485	2	.	.	PROPN
ejpam-4841	485	3	math	math	PROPN
ejpam-4841	485	4	.	.	PUNCT
ejpam-4841	486	1	jpn	jpn	PROPN
ejpam-4841	486	2	.	.	PROPN
ejpam-4841	486	3	,	,	PUNCT
ejpam-4841	487	1	62:7–12	62:7–12	NUM
ejpam-4841	487	2	,	,	PUNCT
ejpam-4841	487	3	2005	2005	NUM
ejpam-4841	487	4	.	.	PUNCT
ejpam-4841	488	1	[	[	X
ejpam-4841	488	2	17	17	NUM
ejpam-4841	488	3	]	]	X
ejpam-4841	488	4	j	j	PROPN
ejpam-4841	488	5	lingcong	lingcong	PROPN
ejpam-4841	488	6	and	and	CCONJ
ejpam-4841	488	7	j	j	PROPN
ejpam-4841	488	8	endam	endam	PROPN
ejpam-4841	488	9	.	.	PUNCT
ejpam-4841	489	1	direct	direct	ADJ
ejpam-4841	489	2	product	product	NOUN
ejpam-4841	489	3	of	of	ADP
ejpam-4841	489	4	b	b	NOUN
ejpam-4841	489	5	-	-	PUNCT
ejpam-4841	489	6	algebras	algebras	PROPN
ejpam-4841	489	7	.	.	PUNCT
ejpam-4841	490	1	int	int	NOUN
ejpam-4841	490	2	.	.	PUNCT
ejpam-4841	491	1	j.	j.	PROPN
ejpam-4841	491	2	algebra	algebra	PROPN
ejpam-4841	491	3	,	,	PUNCT
ejpam-4841	491	4	10:33–40	10:33–40	NUM
ejpam-4841	491	5	,	,	PUNCT
ejpam-4841	491	6	2016	2016	NUM
ejpam-4841	491	7	.	.	PUNCT
ejpam-4841	492	1	[	[	X
ejpam-4841	492	2	18	18	NUM
ejpam-4841	492	3	]	]	X
ejpam-4841	492	4	j	j	PROPN
ejpam-4841	492	5	lingcong	lingcong	PROPN
ejpam-4841	492	6	and	and	CCONJ
ejpam-4841	492	7	j	j	PROPN
ejpam-4841	492	8	endam	endam	PROPN
ejpam-4841	492	9	.	.	PUNCT
ejpam-4841	493	1	mappings	mapping	NOUN
ejpam-4841	493	2	of	of	ADP
ejpam-4841	493	3	the	the	DET
ejpam-4841	493	4	direct	direct	ADJ
ejpam-4841	493	5	product	product	NOUN
ejpam-4841	493	6	of	of	ADP
ejpam-4841	493	7	b	b	NOUN
ejpam-4841	493	8	-	-	PUNCT
ejpam-4841	493	9	algebras	algebras	PROPN
ejpam-4841	493	10	.	.	PUNCT
ejpam-4841	494	1	int	int	NOUN
ejpam-4841	494	2	.	.	PUNCT
ejpam-4841	495	1	j.	j.	PROPN
ejpam-4841	495	2	algebra	algebra	PROPN
ejpam-4841	495	3	,	,	PUNCT
ejpam-4841	495	4	10:133–140	10:133–140	NUM
ejpam-4841	495	5	,	,	PUNCT
ejpam-4841	495	6	2016	2016	NUM
ejpam-4841	495	7	.	.	PUNCT
ejpam-4841	496	1	[	[	X
ejpam-4841	496	2	19	19	NUM
ejpam-4841	496	3	]	]	PUNCT
ejpam-4841	496	4	a	a	DET
ejpam-4841	496	5	mamhot	mamhot	NOUN
ejpam-4841	496	6	and	and	CCONJ
ejpam-4841	496	7	j	j	PROPN
ejpam-4841	496	8	endam	endam	NOUN
ejpam-4841	496	9	.	.	PUNCT
ejpam-4841	497	1	on	on	ADP
ejpam-4841	497	2	bpo	bpo	PROPN
ejpam-4841	497	3	-	-	PUNCT
ejpam-4841	497	4	algebras	algebras	PROPN
ejpam-4841	497	5	.	.	PUNCT
ejpam-4841	497	6	afr	afr	PROPN
ejpam-4841	497	7	.	.	PUNCT
ejpam-4841	498	1	mat	mat	PROPN
ejpam-4841	498	2	.	.	PROPN
ejpam-4841	498	3	,	,	PUNCT
ejpam-4841	498	4	30:1237–1248	30:1237–1248	NUM
ejpam-4841	498	5	,	,	PUNCT
ejpam-4841	498	6	2019	2019	NUM
ejpam-4841	498	7	.	.	PUNCT
ejpam-4841	499	1	[	[	X
ejpam-4841	499	2	20	20	NUM
ejpam-4841	499	3	]	]	X
ejpam-4841	499	4	j	j	PROPN
ejpam-4841	499	5	neggers	negger	NOUN
ejpam-4841	499	6	and	and	CCONJ
ejpam-4841	499	7	h	h	PROPN
ejpam-4841	499	8	kim	kim	PROPN
ejpam-4841	499	9	.	.	PUNCT
ejpam-4841	500	1	a	a	DET
ejpam-4841	500	2	fundamental	fundamental	ADJ
ejpam-4841	500	3	theorem	theorem	NOUN
ejpam-4841	500	4	of	of	ADP
ejpam-4841	500	5	b	b	NOUN
ejpam-4841	500	6	-	-	PUNCT
ejpam-4841	500	7	homomorphism	homomorphism	NOUN
ejpam-4841	500	8	for	for	ADP
ejpam-4841	500	9	b	b	NOUN
ejpam-4841	500	10	-	-	PUNCT
ejpam-4841	500	11	algebras	algebras	PROPN
ejpam-4841	500	12	.	.	PUNCT
ejpam-4841	501	1	int	int	NOUN
ejpam-4841	501	2	.	.	PUNCT
ejpam-4841	502	1	math	math	NOUN
ejpam-4841	502	2	.	.	PUNCT
ejpam-4841	503	1	j.	j.	PROPN
ejpam-4841	503	2	,	,	PUNCT
ejpam-4841	503	3	2:207–214	2:207–214	NUM
ejpam-4841	503	4	,	,	PUNCT
ejpam-4841	503	5	2002	2002	NUM
ejpam-4841	503	6	.	.	PUNCT
ejpam-4841	504	1	[	[	X
ejpam-4841	504	2	21	21	NUM
ejpam-4841	504	3	]	]	X
ejpam-4841	504	4	j	j	PROPN
ejpam-4841	504	5	neggers	negger	NOUN
ejpam-4841	504	6	and	and	CCONJ
ejpam-4841	504	7	h	h	PROPN
ejpam-4841	504	8	kim	kim	PROPN
ejpam-4841	504	9	.	.	PUNCT
ejpam-4841	505	1	on	on	ADP
ejpam-4841	505	2	b	b	NOUN
ejpam-4841	505	3	-	-	PUNCT
ejpam-4841	505	4	algebras	algebras	PROPN
ejpam-4841	505	5	.	.	PUNCT
ejpam-4841	505	6	mat	mat	PROPN
ejpam-4841	505	7	.	.	PROPN
ejpam-4841	505	8	vesnik	vesnik	PROPN
ejpam-4841	505	9	,	,	PUNCT
ejpam-4841	505	10	54:21–29	54:21–29	NUM
ejpam-4841	505	11	,	,	PUNCT
ejpam-4841	505	12	2002	2002	NUM
ejpam-4841	505	13	.	.	PUNCT
ejpam-4841	506	1	[	[	X
ejpam-4841	506	2	22	22	NUM
ejpam-4841	506	3	]	]	X
ejpam-4841	506	4	j	j	PROPN
ejpam-4841	506	5	neggers	negger	NOUN
ejpam-4841	506	6	p	p	PROPN
ejpam-4841	506	7	allen	allen	PROPN
ejpam-4841	506	8	and	and	CCONJ
ejpam-4841	506	9	h	h	PROPN
ejpam-4841	506	10	kim	kim	PROPN
ejpam-4841	506	11	.	.	PUNCT
ejpam-4841	507	1	b	b	X
ejpam-4841	507	2	-	-	PUNCT
ejpam-4841	507	3	algebras	algebra	NOUN
ejpam-4841	507	4	and	and	CCONJ
ejpam-4841	507	5	groups	group	NOUN
ejpam-4841	507	6	.	.	PUNCT
ejpam-4841	508	1	sci	sci	PROPN
ejpam-4841	508	2	.	.	PROPN
ejpam-4841	508	3	math	math	PROPN
ejpam-4841	508	4	.	.	PUNCT
ejpam-4841	509	1	jpn	jpn	PROPN
ejpam-4841	509	2	.	.	PROPN
ejpam-4841	509	3	,	,	PUNCT
ejpam-4841	509	4	9:159–165	9:159–165	NUM
ejpam-4841	509	5	,	,	PUNCT
ejpam-4841	509	6	2003	2003	NUM
ejpam-4841	509	7	.	.	PUNCT
ejpam-4841	510	1	[	[	X
ejpam-4841	510	2	23	23	NUM
ejpam-4841	510	3	]	]	PUNCT
ejpam-4841	510	4	a	a	DET
ejpam-4841	510	5	saied	saie	VERB
ejpam-4841	510	6	r	r	NOUN
ejpam-4841	510	7	ameri	ameri	PROPN
ejpam-4841	510	8	,	,	PUNCT
ejpam-4841	510	9	s	s	PROPN
ejpam-4841	510	10	nematolah	nematolah	PROPN
ejpam-4841	510	11	zadeh	zadeh	PROPN
ejpam-4841	510	12	,	,	PUNCT
ejpam-4841	510	13	a	a	DET
ejpam-4841	510	14	radfar	radfar	ADJ
ejpam-4841	510	15	,	,	PUNCT
ejpam-4841	510	16	and	and	CCONJ
ejpam-4841	510	17	r	r	NOUN
ejpam-4841	510	18	borzooei	borzooei	ADJ
ejpam-4841	510	19	.	.	PUNCT
ejpam-4841	511	1	on	on	ADP
ejpam-4841	511	2	finite	finite	PROPN
ejpam-4841	511	3	b	b	NOUN
ejpam-4841	511	4	-	-	PUNCT
ejpam-4841	511	5	algebra	algebra	NOUN
ejpam-4841	511	6	.	.	PUNCT
ejpam-4841	512	1	afr	afr	PROPN
ejpam-4841	512	2	.	.	PUNCT
ejpam-4841	513	1	mat	mat	PROPN
ejpam-4841	513	2	.	.	PROPN
ejpam-4841	513	3	,	,	PUNCT
ejpam-4841	513	4	26:825–847	26:825–847	PROPN
ejpam-4841	513	5	,	,	PUNCT
ejpam-4841	513	6	2015	2015	NUM
ejpam-4841	513	7	.	.	PUNCT
ejpam-4841	514	1	references	reference	NOUN
ejpam-4841	514	2	1674	1674	NUM
ejpam-4841	514	3	[	[	X
ejpam-4841	514	4	24	24	NUM
ejpam-4841	514	5	]	]	X
ejpam-4841	514	6	r	r	NOUN
ejpam-4841	514	7	soleimani	soleimani	NOUN
ejpam-4841	514	8	.	.	PUNCT
ejpam-4841	515	1	a	a	DET
ejpam-4841	515	2	note	note	NOUN
ejpam-4841	515	3	on	on	ADP
ejpam-4841	515	4	automorphisms	automorphism	NOUN
ejpam-4841	515	5	of	of	ADP
ejpam-4841	515	6	finite	finite	PROPN
ejpam-4841	515	7	b	b	PROPN
ejpam-4841	515	8	-	-	PUNCT
ejpam-4841	515	9	algebras	algebras	X
ejpam-4841	515	10	.	.	PUNCT
ejpam-4841	516	1	afr	afr	PROPN
ejpam-4841	516	2	.	.	PUNCT
ejpam-4841	517	1	mat	mat	PROPN
ejpam-4841	517	2	.	.	PROPN
ejpam-4841	517	3	,	,	PUNCT
ejpam-4841	517	4	29:263–275	29:263–275	NUM
ejpam-4841	517	5	,	,	PUNCT
ejpam-4841	517	6	2018	2018	NUM
ejpam-4841	517	7	.	.	PUNCT
ejpam-4841	518	1	[	[	X
ejpam-4841	518	2	25	25	NUM
ejpam-4841	518	3	]	]	PUNCT
ejpam-4841	518	4	a	a	DET
ejpam-4841	518	5	walendziak	walendziak	NOUN
ejpam-4841	518	6	.	.	PUNCT
ejpam-4841	519	1	a	a	DET
ejpam-4841	519	2	note	note	NOUN
ejpam-4841	519	3	on	on	ADP
ejpam-4841	519	4	normal	normal	ADJ
ejpam-4841	519	5	subalgebras	subalgebra	NOUN
ejpam-4841	519	6	in	in	ADP
ejpam-4841	519	7	b	b	NOUN
ejpam-4841	519	8	-	-	PUNCT
ejpam-4841	519	9	algebras	algebra	NOUN
ejpam-4841	519	10	.	.	PUNCT
ejpam-4841	520	1	sci	sci	PROPN
ejpam-4841	520	2	.	.	PROPN
ejpam-4841	520	3	math	math	PROPN
ejpam-4841	520	4	.	.	PUNCT
ejpam-4841	521	1	jpn	jpn	PROPN
ejpam-4841	521	2	.	.	PROPN
ejpam-4841	521	3	,	,	PUNCT
ejpam-4841	521	4	62:1–6	62:1–6	NUM
ejpam-4841	521	5	,	,	PUNCT
ejpam-4841	521	6	2005	2005	NUM
ejpam-4841	521	7	.	.	PUNCT
ejpam-4841	522	1	[	[	X
ejpam-4841	522	2	26	26	NUM
ejpam-4841	522	3	]	]	PUNCT
ejpam-4841	522	4	a	a	DET
ejpam-4841	522	5	walendziak	walendziak	NOUN
ejpam-4841	522	6	.	.	PUNCT
ejpam-4841	523	1	some	some	DET
ejpam-4841	523	2	axiomatizations	axiomatization	NOUN
ejpam-4841	523	3	of	of	ADP
ejpam-4841	523	4	b	b	NOUN
ejpam-4841	523	5	-	-	PUNCT
ejpam-4841	523	6	algebras	algebras	PROPN
ejpam-4841	523	7	.	.	PUNCT
ejpam-4841	523	8	math	math	NOUN
ejpam-4841	523	9	.	.	PUNCT
ejpam-4841	524	1	slovaca	slovaca	PROPN
ejpam-4841	524	2	,	,	PUNCT
ejpam-4841	524	3	56:301–306	56:301–306	PROPN
ejpam-4841	524	4	,	,	PUNCT
ejpam-4841	524	5	2006	2006	NUM
ejpam-4841	524	6	.	.	PUNCT