id	sid	tid	token	lemma	pos
ejpam-3306	1	1	european	european	PROPN
ejpam-3306	1	2	journal	journal	PROPN
ejpam-3306	1	3	of	of	ADP
ejpam-3306	1	4	pure	pure	ADJ
ejpam-3306	1	5	and	and	CCONJ
ejpam-3306	1	6	applied	apply	VERB
ejpam-3306	1	7	mathematics	mathematic	NOUN
ejpam-3306	1	8	vol	vol	NOUN
ejpam-3306	1	9	.	.	PUNCT
ejpam-3306	2	1	11	11	NUM
ejpam-3306	2	2	,	,	PUNCT
ejpam-3306	2	3	no	no	INTJ
ejpam-3306	2	4	.	.	NOUN
ejpam-3306	2	5	3	3	NUM
ejpam-3306	2	6	,	,	PUNCT
ejpam-3306	2	7	2018	2018	NUM
ejpam-3306	2	8	,	,	PUNCT
ejpam-3306	2	9	598	598	NUM
ejpam-3306	2	10	-	-	SYM
ejpam-3306	2	11	611	611	NUM
ejpam-3306	2	12	issn	issn	PROPN
ejpam-3306	2	13	1307	1307	NUM
ejpam-3306	2	14	-	-	SYM
ejpam-3306	2	15	5543	5543	NUM
ejpam-3306	2	16	–	–	PUNCT
ejpam-3306	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3306	2	18	published	publish	VERB
ejpam-3306	2	19	by	by	ADP
ejpam-3306	2	20	new	new	PROPN
ejpam-3306	2	21	york	york	PROPN
ejpam-3306	2	22	business	business	PROPN
ejpam-3306	2	23	global	global	PROPN
ejpam-3306	2	24	green	green	PROPN
ejpam-3306	2	25	’s	’s	PART
ejpam-3306	2	26	relations	relation	NOUN
ejpam-3306	2	27	for	for	ADP
ejpam-3306	2	28	hypergroupoids	hypergroupoid	NOUN
ejpam-3306	2	29	niovi	niovi	NOUN
ejpam-3306	2	30	kehayopulu	kehayopulu	VERB
ejpam-3306	2	31	abstract	abstract	NOUN
ejpam-3306	2	32	.	.	PUNCT
ejpam-3306	3	1	we	we	PRON
ejpam-3306	3	2	give	give	VERB
ejpam-3306	3	3	some	some	DET
ejpam-3306	3	4	information	information	NOUN
ejpam-3306	3	5	concerning	concern	VERB
ejpam-3306	3	6	the	the	DET
ejpam-3306	3	7	green	green	PROPN
ejpam-3306	3	8	’s	’s	PART
ejpam-3306	3	9	relations	relation	NOUN
ejpam-3306	3	10	r	r	NOUN
ejpam-3306	3	11	and	and	CCONJ
ejpam-3306	3	12	l	l	NOUN
ejpam-3306	3	13	in	in	ADP
ejpam-3306	3	14	hypergroupoids	hypergroupoid	NOUN
ejpam-3306	3	15	extending	extend	VERB
ejpam-3306	3	16	the	the	DET
ejpam-3306	3	17	concepts	concept	NOUN
ejpam-3306	3	18	of	of	ADP
ejpam-3306	3	19	right	right	NOUN
ejpam-3306	3	20	(	(	PUNCT
ejpam-3306	3	21	left	left	ADJ
ejpam-3306	3	22	)	)	PUNCT
ejpam-3306	3	23	consistent	consistent	ADJ
ejpam-3306	3	24	or	or	CCONJ
ejpam-3306	3	25	intra	intra	ADJ
ejpam-3306	3	26	-	-	ADJ
ejpam-3306	3	27	consistent	consistent	ADJ
ejpam-3306	3	28	groupoids	groupoid	NOUN
ejpam-3306	3	29	in	in	ADP
ejpam-3306	3	30	case	case	NOUN
ejpam-3306	3	31	of	of	ADP
ejpam-3306	3	32	hypergroupoids	hypergroupoid	NOUN
ejpam-3306	3	33	.	.	PUNCT
ejpam-3306	4	1	we	we	PRON
ejpam-3306	4	2	prove	prove	VERB
ejpam-3306	4	3	,	,	PUNCT
ejpam-3306	4	4	for	for	ADP
ejpam-3306	4	5	example	example	NOUN
ejpam-3306	4	6	,	,	PUNCT
ejpam-3306	4	7	that	that	SCONJ
ejpam-3306	4	8	if	if	SCONJ
ejpam-3306	4	9	an	an	DET
ejpam-3306	4	10	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	4	11	h	h	NOUN
ejpam-3306	4	12	is	be	AUX
ejpam-3306	4	13	right	right	ADJ
ejpam-3306	4	14	(	(	PUNCT
ejpam-3306	4	15	left	left	ADJ
ejpam-3306	4	16	)	)	PUNCT
ejpam-3306	4	17	consistent	consistent	ADJ
ejpam-3306	4	18	or	or	CCONJ
ejpam-3306	4	19	intraconsistent	intraconsistent	NOUN
ejpam-3306	4	20	,	,	PUNCT
ejpam-3306	4	21	then	then	ADV
ejpam-3306	4	22	the	the	DET
ejpam-3306	4	23	green	green	PROPN
ejpam-3306	4	24	’s	’s	PART
ejpam-3306	4	25	relations	relation	NOUN
ejpam-3306	4	26	r	r	NOUN
ejpam-3306	4	27	and	and	CCONJ
ejpam-3306	4	28	l	l	NOUN
ejpam-3306	4	29	are	be	AUX
ejpam-3306	4	30	equivalence	equivalence	NOUN
ejpam-3306	4	31	relations	relation	NOUN
ejpam-3306	4	32	on	on	ADP
ejpam-3306	4	33	h	h	NOUN
ejpam-3306	4	34	and	and	CCONJ
ejpam-3306	4	35	give	give	VERB
ejpam-3306	4	36	some	some	DET
ejpam-3306	4	37	conditions	condition	NOUN
ejpam-3306	4	38	under	under	ADP
ejpam-3306	4	39	which	which	PRON
ejpam-3306	4	40	in	in	ADP
ejpam-3306	4	41	consistent	consistent	ADJ
ejpam-3306	4	42	commutative	commutative	ADJ
ejpam-3306	4	43	hypergroupoids	hypergroupoid	NOUN
ejpam-3306	4	44	the	the	DET
ejpam-3306	4	45	relation	relation	NOUN
ejpam-3306	5	1	r	r	NOUN
ejpam-3306	5	2	(=	(=	X
ejpam-3306	5	3	l	l	NOUN
ejpam-3306	5	4	)	)	PUNCT
ejpam-3306	5	5	is	be	AUX
ejpam-3306	5	6	a	a	DET
ejpam-3306	5	7	semilattice	semilattice	NOUN
ejpam-3306	5	8	congruence	congruence	NOUN
ejpam-3306	5	9	.	.	PUNCT
ejpam-3306	6	1	a	a	DET
ejpam-3306	6	2	commutative	commutative	ADJ
ejpam-3306	6	3	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	6	4	is	be	AUX
ejpam-3306	6	5	right	right	ADV
ejpam-3306	6	6	consistent	consistent	ADJ
ejpam-3306	6	7	if	if	SCONJ
ejpam-3306	7	1	and	and	CCONJ
ejpam-3306	7	2	only	only	ADV
ejpam-3306	7	3	if	if	SCONJ
ejpam-3306	7	4	it	it	PRON
ejpam-3306	7	5	is	be	AUX
ejpam-3306	7	6	left	leave	VERB
ejpam-3306	7	7	consistent	consistent	ADJ
ejpam-3306	7	8	and	and	CCONJ
ejpam-3306	7	9	if	if	SCONJ
ejpam-3306	7	10	an	an	DET
ejpam-3306	7	11	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	7	12	is	be	AUX
ejpam-3306	7	13	commutative	commutative	ADJ
ejpam-3306	7	14	and	and	CCONJ
ejpam-3306	7	15	right	right	ADJ
ejpam-3306	7	16	(	(	PUNCT
ejpam-3306	7	17	left	left	ADJ
ejpam-3306	7	18	)	)	PUNCT
ejpam-3306	7	19	consistent	consistent	ADJ
ejpam-3306	7	20	,	,	PUNCT
ejpam-3306	7	21	then	then	ADV
ejpam-3306	7	22	it	it	PRON
ejpam-3306	7	23	is	be	AUX
ejpam-3306	7	24	intra	intra	ADJ
ejpam-3306	7	25	-	-	ADJ
ejpam-3306	7	26	consistent	consistent	ADJ
ejpam-3306	7	27	.	.	PUNCT
ejpam-3306	8	1	a	a	DET
ejpam-3306	8	2	characterization	characterization	NOUN
ejpam-3306	8	3	of	of	ADP
ejpam-3306	8	4	right	right	ADJ
ejpam-3306	8	5	(	(	PUNCT
ejpam-3306	8	6	left	left	ADJ
ejpam-3306	8	7	)	)	PUNCT
ejpam-3306	8	8	consistent	consistent	ADJ
ejpam-3306	8	9	(	(	PUNCT
ejpam-3306	8	10	or	or	CCONJ
ejpam-3306	8	11	intra	intra	ADJ
ejpam-3306	8	12	-	-	ADJ
ejpam-3306	8	13	consistent	consistent	ADJ
ejpam-3306	8	14	)	)	PUNCT
ejpam-3306	8	15	right	right	NOUN
ejpam-3306	8	16	(	(	PUNCT
ejpam-3306	8	17	left	left	ADJ
ejpam-3306	8	18	)	)	PUNCT
ejpam-3306	8	19	simple	simple	ADJ
ejpam-3306	8	20	hypergroupoids	hypergroupoid	NOUN
ejpam-3306	8	21	has	have	AUX
ejpam-3306	8	22	been	be	AUX
ejpam-3306	8	23	also	also	ADV
ejpam-3306	8	24	given	give	VERB
ejpam-3306	8	25	.	.	PUNCT
ejpam-3306	9	1	illustrative	illustrative	ADJ
ejpam-3306	9	2	examples	example	NOUN
ejpam-3306	9	3	are	be	AUX
ejpam-3306	9	4	given	give	VERB
ejpam-3306	9	5	.	.	PUNCT
ejpam-3306	10	1	2010	2010	NUM
ejpam-3306	10	2	mathematics	mathematic	NOUN
ejpam-3306	10	3	subject	subject	NOUN
ejpam-3306	10	4	classifications	classification	NOUN
ejpam-3306	10	5	:	:	PUNCT
ejpam-3306	10	6	20m99	20m99	NUM
ejpam-3306	10	7	,	,	PUNCT
ejpam-3306	10	8	20m10	20m10	NUM
ejpam-3306	10	9	,	,	PUNCT
ejpam-3306	10	10	06f99	06f99	X
ejpam-3306	10	11	key	key	ADJ
ejpam-3306	10	12	words	word	NOUN
ejpam-3306	10	13	and	and	CCONJ
ejpam-3306	10	14	phrases	phrase	NOUN
ejpam-3306	10	15	:	:	PUNCT
ejpam-3306	10	16	hypergroupoid	hypergroupoid	ADJ
ejpam-3306	10	17	,	,	PUNCT
ejpam-3306	10	18	right	right	INTJ
ejpam-3306	10	19	(	(	PUNCT
ejpam-3306	10	20	left	left	ADJ
ejpam-3306	10	21	)	)	PUNCT
ejpam-3306	10	22	consistent	consistent	ADJ
ejpam-3306	10	23	,	,	PUNCT
ejpam-3306	10	24	intra	intra	ADJ
ejpam-3306	10	25	-	-	ADJ
ejpam-3306	10	26	consistent	consistent	ADJ
ejpam-3306	10	27	,	,	PUNCT
ejpam-3306	10	28	congruence	congruence	PROPN
ejpam-3306	10	29	,	,	PUNCT
ejpam-3306	10	30	semilattice	semilattice	NOUN
ejpam-3306	10	31	congruence	congruence	NOUN
ejpam-3306	10	32	,	,	PUNCT
ejpam-3306	10	33	right	right	INTJ
ejpam-3306	10	34	(	(	PUNCT
ejpam-3306	10	35	left	left	ADJ
ejpam-3306	10	36	)	)	PUNCT
ejpam-3306	10	37	ideal	ideal	NOUN
ejpam-3306	10	38	,	,	PUNCT
ejpam-3306	10	39	right	right	INTJ
ejpam-3306	10	40	(	(	PUNCT
ejpam-3306	10	41	left	left	ADJ
ejpam-3306	10	42	)	)	PUNCT
ejpam-3306	10	43	simple	simple	ADJ
ejpam-3306	10	44	1	1	NUM
ejpam-3306	10	45	.	.	PUNCT
ejpam-3306	11	1	introduction	introduction	NOUN
ejpam-3306	11	2	it	it	PRON
ejpam-3306	11	3	is	be	AUX
ejpam-3306	11	4	well	well	ADV
ejpam-3306	11	5	known	know	VERB
ejpam-3306	11	6	that	that	SCONJ
ejpam-3306	11	7	if	if	SCONJ
ejpam-3306	11	8	s	s	NOUN
ejpam-3306	11	9	is	be	AUX
ejpam-3306	11	10	a	a	DET
ejpam-3306	11	11	semigroup	semigroup	NOUN
ejpam-3306	11	12	then	then	ADV
ejpam-3306	11	13	the	the	DET
ejpam-3306	11	14	green	green	PROPN
ejpam-3306	11	15	’s	’s	PART
ejpam-3306	11	16	relations	relation	NOUN
ejpam-3306	11	17	r	r	NOUN
ejpam-3306	11	18	and	and	CCONJ
ejpam-3306	11	19	l	l	NOUN
ejpam-3306	11	20	are	be	AUX
ejpam-3306	11	21	equivalence	equivalence	NOUN
ejpam-3306	11	22	relations	relation	NOUN
ejpam-3306	11	23	on	on	ADP
ejpam-3306	11	24	s.	s.	PROPN
ejpam-3306	11	25	kenneth	kenneth	PROPN
ejpam-3306	11	26	kapp	kapp	PROPN
ejpam-3306	11	27	studied	study	VERB
ejpam-3306	11	28	the	the	DET
ejpam-3306	11	29	green	green	PROPN
ejpam-3306	11	30	’s	’s	PART
ejpam-3306	11	31	relations	relation	NOUN
ejpam-3306	11	32	in	in	ADP
ejpam-3306	11	33	case	case	NOUN
ejpam-3306	11	34	of	of	ADP
ejpam-3306	11	35	groupoids	groupoid	NOUN
ejpam-3306	11	36	[	[	X
ejpam-3306	11	37	1	1	NUM
ejpam-3306	11	38	]	]	PUNCT
ejpam-3306	11	39	.	.	PUNCT
ejpam-3306	12	1	he	he	PRON
ejpam-3306	12	2	introduced	introduce	VERB
ejpam-3306	12	3	the	the	DET
ejpam-3306	12	4	concepts	concept	NOUN
ejpam-3306	12	5	of	of	ADP
ejpam-3306	12	6	consistent	consistent	ADJ
ejpam-3306	12	7	(	(	PUNCT
ejpam-3306	12	8	weakly	weakly	ADV
ejpam-3306	12	9	consistent	consistent	ADJ
ejpam-3306	12	10	)	)	PUNCT
ejpam-3306	12	11	and	and	CCONJ
ejpam-3306	12	12	intra	intra	ADJ
ejpam-3306	12	13	-	-	ADJ
ejpam-3306	12	14	consistent	consistent	ADJ
ejpam-3306	12	15	(	(	PUNCT
ejpam-3306	12	16	weakly	weakly	ADJ
ejpam-3306	12	17	intra	intra	ADJ
ejpam-3306	12	18	-	-	ADJ
ejpam-3306	12	19	consistent	consistent	ADJ
ejpam-3306	12	20	)	)	PUNCT
ejpam-3306	12	21	groupoids	groupoid	NOUN
ejpam-3306	12	22	in	in	ADP
ejpam-3306	12	23	which	which	PRON
ejpam-3306	12	24	these	these	DET
ejpam-3306	12	25	concepts	concept	NOUN
ejpam-3306	12	26	play	play	VERB
ejpam-3306	12	27	the	the	DET
ejpam-3306	12	28	role	role	NOUN
ejpam-3306	12	29	of	of	ADP
ejpam-3306	12	30	the	the	DET
ejpam-3306	12	31	associativity	associativity	NOUN
ejpam-3306	12	32	of	of	ADP
ejpam-3306	12	33	semigroups	semigroup	NOUN
ejpam-3306	12	34	.	.	PUNCT
ejpam-3306	13	1	he	he	PRON
ejpam-3306	13	2	first	first	ADV
ejpam-3306	13	3	characterized	characterize	VERB
ejpam-3306	13	4	the	the	DET
ejpam-3306	13	5	relations	relation	NOUN
ejpam-3306	13	6	r	r	NOUN
ejpam-3306	13	7	and	and	CCONJ
ejpam-3306	13	8	l	l	NOUN
ejpam-3306	13	9	in	in	ADP
ejpam-3306	13	10	this	this	DET
ejpam-3306	13	11	type	type	NOUN
ejpam-3306	13	12	of	of	ADP
ejpam-3306	13	13	groupoids	groupoid	NOUN
ejpam-3306	13	14	and	and	CCONJ
ejpam-3306	13	15	proved	prove	VERB
ejpam-3306	13	16	,	,	PUNCT
ejpam-3306	13	17	among	among	ADP
ejpam-3306	13	18	others	other	NOUN
ejpam-3306	13	19	,	,	PUNCT
ejpam-3306	13	20	that	that	SCONJ
ejpam-3306	13	21	if	if	SCONJ
ejpam-3306	13	22	g	g	PROPN
ejpam-3306	13	23	is	be	AUX
ejpam-3306	13	24	either	either	CCONJ
ejpam-3306	13	25	a	a	DET
ejpam-3306	13	26	weakly	weakly	ADV
ejpam-3306	13	27	consistent	consistent	ADJ
ejpam-3306	13	28	or	or	CCONJ
ejpam-3306	13	29	a	a	DET
ejpam-3306	13	30	weakly	weakly	ADJ
ejpam-3306	13	31	intra	intra	ADJ
ejpam-3306	13	32	-	-	ADJ
ejpam-3306	13	33	consistent	consistent	ADJ
ejpam-3306	13	34	groupoid	groupoid	NOUN
ejpam-3306	13	35	,	,	PUNCT
ejpam-3306	13	36	then	then	ADV
ejpam-3306	13	37	r	r	NOUN
ejpam-3306	13	38	and	and	CCONJ
ejpam-3306	13	39	l	l	NOUN
ejpam-3306	13	40	are	be	AUX
ejpam-3306	13	41	equivalence	equivalence	NOUN
ejpam-3306	13	42	relations	relation	NOUN
ejpam-3306	13	43	on	on	ADP
ejpam-3306	13	44	g.	g.	PROPN
ejpam-3306	13	45	moreover	moreover	ADV
ejpam-3306	13	46	,	,	PUNCT
ejpam-3306	13	47	if	if	SCONJ
ejpam-3306	13	48	g	g	PROPN
ejpam-3306	13	49	is	be	AUX
ejpam-3306	13	50	weakly	weakly	ADV
ejpam-3306	13	51	consistent	consistent	ADJ
ejpam-3306	13	52	then	then	ADV
ejpam-3306	13	53	r	r	NOUN
ejpam-3306	13	54	is	be	AUX
ejpam-3306	13	55	a	a	DET
ejpam-3306	13	56	left	left	ADJ
ejpam-3306	13	57	congruence	congruence	NOUN
ejpam-3306	13	58	and	and	CCONJ
ejpam-3306	13	59	l	l	NOUN
ejpam-3306	13	60	is	be	AUX
ejpam-3306	13	61	a	a	DET
ejpam-3306	13	62	right	right	ADJ
ejpam-3306	13	63	congruence	congruence	NOUN
ejpam-3306	13	64	on	on	ADP
ejpam-3306	13	65	g.	g.	PROPN
ejpam-3306	13	66	he	he	PRON
ejpam-3306	13	67	studied	study	VERB
ejpam-3306	13	68	the	the	DET
ejpam-3306	13	69	case	case	NOUN
ejpam-3306	13	70	of	of	ADP
ejpam-3306	13	71	commutative	commutative	ADJ
ejpam-3306	13	72	consistent	consistent	ADJ
ejpam-3306	13	73	or	or	CCONJ
ejpam-3306	13	74	commutative	commutative	ADJ
ejpam-3306	13	75	weakly	weakly	ADJ
ejpam-3306	13	76	consistent	consistent	ADJ
ejpam-3306	13	77	groupoids	groupoid	NOUN
ejpam-3306	13	78	as	as	ADV
ejpam-3306	13	79	well	well	ADV
ejpam-3306	13	80	.	.	PUNCT
ejpam-3306	14	1	for	for	ADP
ejpam-3306	14	2	an	an	DET
ejpam-3306	14	3	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	14	4	h	h	NOUN
ejpam-3306	14	5	,	,	PUNCT
ejpam-3306	14	6	we	we	PRON
ejpam-3306	14	7	denote	denote	VERB
ejpam-3306	14	8	by	by	ADP
ejpam-3306	14	9	r	r	NOUN
ejpam-3306	14	10	the	the	DET
ejpam-3306	14	11	relation	relation	NOUN
ejpam-3306	14	12	on	on	ADP
ejpam-3306	14	13	h	h	NOUN
ejpam-3306	14	14	defined	define	VERB
ejpam-3306	14	15	by	by	ADP
ejpam-3306	14	16	arb	arb	PROPN
ejpam-3306	14	17	if	if	SCONJ
ejpam-3306	14	18	a	a	DET
ejpam-3306	14	19	=	=	SYM
ejpam-3306	14	20	b	b	NOUN
ejpam-3306	14	21	or	or	CCONJ
ejpam-3306	14	22	there	there	PRON
ejpam-3306	14	23	exist	exist	VERB
ejpam-3306	14	24	x	x	NOUN
ejpam-3306	14	25	,	,	PUNCT
ejpam-3306	14	26	y	y	PROPN
ejpam-3306	14	27	∈	∈	PROPN
ejpam-3306	14	28	h	h	NOUN
ejpam-3306	14	29	such	such	ADJ
ejpam-3306	14	30	that	that	SCONJ
ejpam-3306	14	31	a	a	DET
ejpam-3306	14	32	∈	∈	PROPN
ejpam-3306	14	33	b	b	NOUN
ejpam-3306	14	34	◦	◦	NOUN
ejpam-3306	14	35	x	x	X
ejpam-3306	14	36	and	and	CCONJ
ejpam-3306	14	37	b	b	X
ejpam-3306	14	38	∈	∈	PROPN
ejpam-3306	14	39	a	a	DET
ejpam-3306	14	40	◦	◦	NOUN
ejpam-3306	14	41	y	y	PROPN
ejpam-3306	14	42	and	and	CCONJ
ejpam-3306	14	43	by	by	ADP
ejpam-3306	14	44	l	l	NOUN
ejpam-3306	14	45	the	the	DET
ejpam-3306	14	46	relation	relation	NOUN
ejpam-3306	14	47	on	on	ADP
ejpam-3306	14	48	h	h	NOUN
ejpam-3306	14	49	defined	define	VERB
ejpam-3306	14	50	by	by	ADP
ejpam-3306	14	51	alb	alb	PROPN
ejpam-3306	14	52	if	if	SCONJ
ejpam-3306	14	53	a	a	DET
ejpam-3306	14	54	=	=	SYM
ejpam-3306	14	55	b	b	NOUN
ejpam-3306	14	56	or	or	CCONJ
ejpam-3306	14	57	there	there	PRON
ejpam-3306	14	58	exist	exist	VERB
ejpam-3306	14	59	x	x	NOUN
ejpam-3306	14	60	,	,	PUNCT
ejpam-3306	14	61	y	y	PROPN
ejpam-3306	14	62	∈	∈	PROPN
ejpam-3306	14	63	h	h	NOUN
ejpam-3306	14	64	such	such	ADJ
ejpam-3306	14	65	that	that	SCONJ
ejpam-3306	14	66	a	a	DET
ejpam-3306	14	67	∈	∈	PROPN
ejpam-3306	14	68	x	x	PUNCT
ejpam-3306	14	69	◦	◦	NOUN
ejpam-3306	14	70	b	b	NOUN
ejpam-3306	14	71	and	and	CCONJ
ejpam-3306	14	72	b	b	X
ejpam-3306	14	73	∈	∈	PROPN
ejpam-3306	14	74	y	y	PROPN
ejpam-3306	14	75	◦	◦	NOUN
ejpam-3306	14	76	a.	a.	NOUN
ejpam-3306	15	1	first	first	ADV
ejpam-3306	15	2	we	we	PRON
ejpam-3306	15	3	observe	observe	VERB
ejpam-3306	15	4	that	that	SCONJ
ejpam-3306	15	5	if	if	SCONJ
ejpam-3306	15	6	h	h	NOUN
ejpam-3306	15	7	is	be	AUX
ejpam-3306	15	8	an	an	DET
ejpam-3306	15	9	hypersemigroup	hypersemigroup	NOUN
ejpam-3306	15	10	and	and	CCONJ
ejpam-3306	15	11	a	a	DET
ejpam-3306	15	12	,	,	PUNCT
ejpam-3306	15	13	b	b	X
ejpam-3306	15	14	∈	∈	PROPN
ejpam-3306	15	15	h	h	NOUN
ejpam-3306	15	16	,	,	PUNCT
ejpam-3306	15	17	then	then	ADV
ejpam-3306	15	18	we	we	PRON
ejpam-3306	15	19	have	have	VERB
ejpam-3306	15	20	arb	arb	NOUN
ejpam-3306	15	21	if	if	SCONJ
ejpam-3306	15	22	and	and	CCONJ
ejpam-3306	15	23	only	only	ADV
ejpam-3306	15	24	if	if	SCONJ
ejpam-3306	15	25	(	(	PUNCT
ejpam-3306	15	26	a	a	DET
ejpam-3306	15	27	∗	∗	NOUN
ejpam-3306	15	28	h	h	NOUN
ejpam-3306	15	29	)	)	PUNCT
ejpam-3306	15	30	∪	∪	ADP
ejpam-3306	15	31	{	{	PUNCT
ejpam-3306	15	32	a	a	NOUN
ejpam-3306	15	33	}	}	PUNCT
ejpam-3306	15	34	=	=	SYM
ejpam-3306	15	35	(	(	PUNCT
ejpam-3306	15	36	b	b	NOUN
ejpam-3306	15	37	∗	∗	NUM
ejpam-3306	15	38	h	h	NOUN
ejpam-3306	15	39	)	)	PUNCT
ejpam-3306	15	40	∪	∪	ADP
ejpam-3306	15	41	{	{	PUNCT
ejpam-3306	15	42	b	b	NOUN
ejpam-3306	15	43	}	}	PUNCT
ejpam-3306	15	44	and	and	CCONJ
ejpam-3306	15	45	alb	alb	VERB
ejpam-3306	15	46	if	if	SCONJ
ejpam-3306	16	1	and	and	CCONJ
ejpam-3306	16	2	only	only	ADV
ejpam-3306	16	3	if	if	SCONJ
ejpam-3306	16	4	(	(	PUNCT
ejpam-3306	16	5	h	h	NOUN
ejpam-3306	16	6	∗	∗	X
ejpam-3306	16	7	a	a	NOUN
ejpam-3306	16	8	)	)	PUNCT
ejpam-3306	16	9	∪	∪	X
ejpam-3306	16	10	{	{	PUNCT
ejpam-3306	16	11	a	a	NOUN
ejpam-3306	16	12	}	}	PUNCT
ejpam-3306	16	13	=	=	SYM
ejpam-3306	16	14	(	(	PUNCT
ejpam-3306	16	15	h	h	NOUN
ejpam-3306	16	16	∗	∗	NOUN
ejpam-3306	16	17	b	b	NOUN
ejpam-3306	16	18	)	)	PUNCT
ejpam-3306	16	19	∪	∪	NOUN
ejpam-3306	16	20	{	{	PUNCT
ejpam-3306	16	21	b	b	NOUN
ejpam-3306	16	22	}	}	PUNCT
ejpam-3306	16	23	.	.	PUNCT
ejpam-3306	17	1	as	as	ADP
ejpam-3306	17	2	a	a	DET
ejpam-3306	17	3	consequence	consequence	NOUN
ejpam-3306	17	4	if	if	SCONJ
ejpam-3306	17	5	h	h	NOUN
ejpam-3306	17	6	is	be	AUX
ejpam-3306	17	7	an	an	DET
ejpam-3306	17	8	hypersemigroup	hypersemigroup	NOUN
ejpam-3306	17	9	,	,	PUNCT
ejpam-3306	17	10	then	then	ADV
ejpam-3306	17	11	the	the	DET
ejpam-3306	17	12	relations	relation	NOUN
ejpam-3306	17	13	r	r	NOUN
ejpam-3306	17	14	and	and	CCONJ
ejpam-3306	17	15	l	l	NOUN
ejpam-3306	17	16	are	be	AUX
ejpam-3306	17	17	equivalence	equivalence	NOUN
ejpam-3306	17	18	relations	relation	NOUN
ejpam-3306	17	19	on	on	ADP
ejpam-3306	17	20	h.	h.	PROPN
ejpam-3306	17	21	it	it	PRON
ejpam-3306	17	22	is	be	AUX
ejpam-3306	17	23	interesting	interesting	ADJ
ejpam-3306	17	24	to	to	PART
ejpam-3306	17	25	know	know	VERB
ejpam-3306	17	26	under	under	ADP
ejpam-3306	17	27	what	what	DET
ejpam-3306	17	28	conditions	condition	NOUN
ejpam-3306	17	29	the	the	DET
ejpam-3306	17	30	relations	relation	NOUN
ejpam-3306	17	31	doi	doi	NOUN
ejpam-3306	17	32	:	:	PUNCT
ejpam-3306	17	33	https://doi.org/10.29020/nybg.ejpam.v11i3.3306	https://doi.org/10.29020/nybg.ejpam.v11i3.3306	ADJ
ejpam-3306	17	34	email	email	NOUN
ejpam-3306	17	35	address	address	NOUN
ejpam-3306	17	36	:	:	PUNCT
ejpam-3306	17	37	nkehayop@math.uoa.gr	nkehayop@math.uoa.gr	ADV
ejpam-3306	17	38	(	(	PUNCT
ejpam-3306	17	39	n.	n.	PROPN
ejpam-3306	17	40	kehayopulu	kehayopulu	PROPN
ejpam-3306	17	41	)	)	PUNCT
ejpam-3306	17	42	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3306	18	1	598	598	NUM
ejpam-3306	18	2	c	c	NOUN
ejpam-3306	18	3	©	©	PROPN
ejpam-3306	18	4	2018	2018	NUM
ejpam-3306	18	5	ejpam	ejpam	VERB
ejpam-3306	18	6	all	all	DET
ejpam-3306	18	7	rights	right	NOUN
ejpam-3306	18	8	reserved	reserve	VERB
ejpam-3306	18	9	.	.	PUNCT
ejpam-3306	19	1	n.	n.	PROPN
ejpam-3306	19	2	kehayopulu	kehayopulu	PROPN
ejpam-3306	19	3	/	/	SYM
ejpam-3306	19	4	eur	eur	PROPN
ejpam-3306	19	5	.	.	PUNCT
ejpam-3306	20	1	j.	j.	PROPN
ejpam-3306	20	2	pure	pure	PROPN
ejpam-3306	20	3	appl	appl	PROPN
ejpam-3306	20	4	.	.	PROPN
ejpam-3306	20	5	math	math	PROPN
ejpam-3306	20	6	,	,	PUNCT
ejpam-3306	20	7	11	11	NUM
ejpam-3306	20	8	(	(	PUNCT
ejpam-3306	20	9	3	3	NUM
ejpam-3306	20	10	)	)	PUNCT
ejpam-3306	20	11	(	(	PUNCT
ejpam-3306	20	12	2018	2018	NUM
ejpam-3306	20	13	)	)	PUNCT
ejpam-3306	20	14	,	,	PUNCT
ejpam-3306	20	15	598	598	NUM
ejpam-3306	20	16	-	-	SYM
ejpam-3306	20	17	611	611	NUM
ejpam-3306	20	18	599	599	NUM
ejpam-3306	20	19	r	r	NOUN
ejpam-3306	20	20	and	and	CCONJ
ejpam-3306	20	21	l	l	NOUN
ejpam-3306	20	22	are	be	AUX
ejpam-3306	20	23	equivalence	equivalence	NOUN
ejpam-3306	20	24	relations	relation	NOUN
ejpam-3306	20	25	,	,	PUNCT
ejpam-3306	20	26	congruences	congruence	NOUN
ejpam-3306	20	27	or	or	CCONJ
ejpam-3306	20	28	even	even	ADV
ejpam-3306	20	29	semilattice	semilattice	NOUN
ejpam-3306	20	30	congruences	congruence	NOUN
ejpam-3306	20	31	in	in	ADP
ejpam-3306	20	32	case	case	NOUN
ejpam-3306	20	33	of	of	ADP
ejpam-3306	20	34	hypergroupoids	hypergroupoid	NOUN
ejpam-3306	20	35	for	for	ADP
ejpam-3306	20	36	which	which	PRON
ejpam-3306	20	37	the	the	DET
ejpam-3306	20	38	associativity	associativity	NOUN
ejpam-3306	20	39	condition	condition	NOUN
ejpam-3306	20	40	does	do	AUX
ejpam-3306	20	41	not	not	PART
ejpam-3306	20	42	hold	hold	VERB
ejpam-3306	20	43	in	in	ADP
ejpam-3306	20	44	general	general	ADJ
ejpam-3306	20	45	.	.	PUNCT
ejpam-3306	21	1	in	in	ADP
ejpam-3306	21	2	this	this	DET
ejpam-3306	21	3	respect	respect	NOUN
ejpam-3306	21	4	,	,	PUNCT
ejpam-3306	21	5	following	follow	VERB
ejpam-3306	21	6	kapp	kapp	PROPN
ejpam-3306	21	7	[	[	X
ejpam-3306	21	8	1	1	NUM
ejpam-3306	21	9	]	]	PUNCT
ejpam-3306	21	10	,	,	PUNCT
ejpam-3306	21	11	we	we	PRON
ejpam-3306	21	12	introduce	introduce	VERB
ejpam-3306	21	13	the	the	DET
ejpam-3306	21	14	concepts	concept	NOUN
ejpam-3306	21	15	of	of	ADP
ejpam-3306	21	16	right	right	NOUN
ejpam-3306	21	17	(	(	PUNCT
ejpam-3306	21	18	left	left	ADJ
ejpam-3306	21	19	)	)	PUNCT
ejpam-3306	21	20	consistent	consistent	ADJ
ejpam-3306	21	21	and	and	CCONJ
ejpam-3306	21	22	intraconsistent	intraconsistent	NOUN
ejpam-3306	21	23	hypergroupoids	hypergroupoid	NOUN
ejpam-3306	21	24	.	.	PUNCT
ejpam-3306	22	1	every	every	DET
ejpam-3306	22	2	hypersemigroup	hypersemigroup	NOUN
ejpam-3306	22	3	is	be	AUX
ejpam-3306	22	4	a	a	DET
ejpam-3306	22	5	right	right	ADV
ejpam-3306	22	6	consistent	consistent	ADJ
ejpam-3306	22	7	,	,	PUNCT
ejpam-3306	22	8	left	leave	VERB
ejpam-3306	22	9	consistent	consistent	ADJ
ejpam-3306	22	10	and	and	CCONJ
ejpam-3306	22	11	intra	intra	ADJ
ejpam-3306	22	12	-	-	ADJ
ejpam-3306	22	13	consistent	consistent	ADJ
ejpam-3306	22	14	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	22	15	.	.	PUNCT
ejpam-3306	23	1	and	and	CCONJ
ejpam-3306	23	2	from	from	ADP
ejpam-3306	23	3	every	every	DET
ejpam-3306	23	4	right	right	ADV
ejpam-3306	23	5	consistent	consistent	ADJ
ejpam-3306	23	6	,	,	PUNCT
ejpam-3306	23	7	left	leave	VERB
ejpam-3306	23	8	consistent	consistent	ADJ
ejpam-3306	23	9	or	or	CCONJ
ejpam-3306	23	10	intraconsistent	intraconsistent	ADJ
ejpam-3306	23	11	groupoid	groupoid	PROPN
ejpam-3306	23	12	,	,	PUNCT
ejpam-3306	23	13	a	a	DET
ejpam-3306	23	14	right	right	ADV
ejpam-3306	23	15	consistent	consistent	ADJ
ejpam-3306	23	16	,	,	PUNCT
ejpam-3306	23	17	left	leave	VERB
ejpam-3306	23	18	consistent	consistent	ADJ
ejpam-3306	23	19	or	or	CCONJ
ejpam-3306	23	20	intra	intra	ADJ
ejpam-3306	23	21	-	-	ADJ
ejpam-3306	23	22	consistent	consistent	ADJ
ejpam-3306	23	23	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	23	24	can	can	AUX
ejpam-3306	23	25	be	be	AUX
ejpam-3306	23	26	constructed	construct	VERB
ejpam-3306	23	27	.	.	PUNCT
ejpam-3306	24	1	we	we	PRON
ejpam-3306	24	2	prove	prove	VERB
ejpam-3306	24	3	that	that	SCONJ
ejpam-3306	24	4	if	if	SCONJ
ejpam-3306	24	5	an	an	DET
ejpam-3306	24	6	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	24	7	h	h	NOUN
ejpam-3306	24	8	is	be	AUX
ejpam-3306	24	9	right	right	ADV
ejpam-3306	24	10	consistent	consistent	ADJ
ejpam-3306	24	11	or	or	CCONJ
ejpam-3306	24	12	intraconsistent	intraconsistent	NOUN
ejpam-3306	24	13	,	,	PUNCT
ejpam-3306	24	14	then	then	ADV
ejpam-3306	24	15	we	we	PRON
ejpam-3306	24	16	have	have	VERB
ejpam-3306	24	17	arb	arb	NOUN
ejpam-3306	24	18	if	if	SCONJ
ejpam-3306	24	19	and	and	CCONJ
ejpam-3306	24	20	only	only	ADV
ejpam-3306	24	21	if	if	SCONJ
ejpam-3306	24	22	(	(	PUNCT
ejpam-3306	24	23	a	a	DET
ejpam-3306	24	24	∗	∗	NOUN
ejpam-3306	24	25	h	h	NOUN
ejpam-3306	24	26	)	)	PUNCT
ejpam-3306	24	27	∪	∪	ADP
ejpam-3306	24	28	{	{	PUNCT
ejpam-3306	24	29	a	a	NOUN
ejpam-3306	24	30	}	}	PUNCT
ejpam-3306	24	31	=	=	SYM
ejpam-3306	24	32	(	(	PUNCT
ejpam-3306	24	33	b	b	NOUN
ejpam-3306	24	34	∗	∗	NUM
ejpam-3306	24	35	h	h	NOUN
ejpam-3306	24	36	)	)	PUNCT
ejpam-3306	24	37	∪	∪	ADP
ejpam-3306	24	38	{	{	PUNCT
ejpam-3306	24	39	b	b	NOUN
ejpam-3306	24	40	}	}	PUNCT
ejpam-3306	24	41	and	and	CCONJ
ejpam-3306	24	42	if	if	SCONJ
ejpam-3306	24	43	it	it	PRON
ejpam-3306	24	44	is	be	AUX
ejpam-3306	24	45	left	leave	VERB
ejpam-3306	24	46	consistent	consistent	ADJ
ejpam-3306	24	47	,	,	PUNCT
ejpam-3306	24	48	then	then	ADV
ejpam-3306	24	49	we	we	PRON
ejpam-3306	24	50	have	have	VERB
ejpam-3306	24	51	alb	alb	VERB
ejpam-3306	24	52	if	if	SCONJ
ejpam-3306	25	1	and	and	CCONJ
ejpam-3306	25	2	only	only	ADV
ejpam-3306	25	3	if	if	SCONJ
ejpam-3306	25	4	(	(	PUNCT
ejpam-3306	25	5	h	h	NOUN
ejpam-3306	25	6	∗	∗	X
ejpam-3306	25	7	a	a	NOUN
ejpam-3306	25	8	)	)	PUNCT
ejpam-3306	25	9	∪	∪	X
ejpam-3306	25	10	{	{	PUNCT
ejpam-3306	25	11	a	a	NOUN
ejpam-3306	25	12	}	}	PUNCT
ejpam-3306	25	13	=	=	SYM
ejpam-3306	25	14	(	(	PUNCT
ejpam-3306	25	15	h	h	NOUN
ejpam-3306	25	16	∗	∗	NOUN
ejpam-3306	25	17	b	b	NOUN
ejpam-3306	25	18	)	)	PUNCT
ejpam-3306	25	19	∪	∪	NOUN
ejpam-3306	25	20	{	{	PUNCT
ejpam-3306	25	21	b	b	NOUN
ejpam-3306	25	22	}	}	PUNCT
ejpam-3306	25	23	.	.	PUNCT
ejpam-3306	26	1	we	we	PRON
ejpam-3306	26	2	also	also	ADV
ejpam-3306	26	3	have	have	VERB
ejpam-3306	26	4	arb	arb	NOUN
ejpam-3306	26	5	if	if	SCONJ
ejpam-3306	27	1	and	and	CCONJ
ejpam-3306	27	2	only	only	ADV
ejpam-3306	27	3	if	if	SCONJ
ejpam-3306	27	4	the	the	DET
ejpam-3306	27	5	right	right	ADJ
ejpam-3306	27	6	ideals	ideal	NOUN
ejpam-3306	27	7	generated	generate	VERB
ejpam-3306	27	8	by	by	ADP
ejpam-3306	27	9	the	the	DET
ejpam-3306	27	10	elements	element	NOUN
ejpam-3306	27	11	a	a	DET
ejpam-3306	27	12	and	and	CCONJ
ejpam-3306	27	13	b	b	NOUN
ejpam-3306	27	14	coincide	coincide	NOUN
ejpam-3306	28	1	and	and	CCONJ
ejpam-3306	28	2	we	we	PRON
ejpam-3306	28	3	have	have	AUX
ejpam-3306	28	4	alb	alb	VERB
ejpam-3306	28	5	if	if	SCONJ
ejpam-3306	29	1	and	and	CCONJ
ejpam-3306	29	2	only	only	ADV
ejpam-3306	29	3	if	if	SCONJ
ejpam-3306	29	4	the	the	DET
ejpam-3306	29	5	left	left	ADJ
ejpam-3306	29	6	ideals	ideal	NOUN
ejpam-3306	29	7	generated	generate	VERB
ejpam-3306	29	8	by	by	ADP
ejpam-3306	29	9	the	the	DET
ejpam-3306	29	10	elements	element	NOUN
ejpam-3306	29	11	a	a	PRON
ejpam-3306	29	12	and	and	CCONJ
ejpam-3306	29	13	b	b	NOUN
ejpam-3306	29	14	are	be	AUX
ejpam-3306	29	15	the	the	DET
ejpam-3306	29	16	same	same	ADJ
ejpam-3306	29	17	.	.	PUNCT
ejpam-3306	30	1	as	as	ADP
ejpam-3306	30	2	a	a	DET
ejpam-3306	30	3	consequence	consequence	NOUN
ejpam-3306	30	4	,	,	PUNCT
ejpam-3306	30	5	if	if	SCONJ
ejpam-3306	30	6	an	an	DET
ejpam-3306	30	7	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	30	8	h	h	NOUN
ejpam-3306	30	9	is	be	AUX
ejpam-3306	30	10	right	right	ADJ
ejpam-3306	30	11	(	(	PUNCT
ejpam-3306	30	12	left	left	ADJ
ejpam-3306	30	13	)	)	PUNCT
ejpam-3306	30	14	consistent	consistent	ADJ
ejpam-3306	30	15	or	or	CCONJ
ejpam-3306	30	16	intraconsistent	intraconsistent	NOUN
ejpam-3306	30	17	,	,	PUNCT
ejpam-3306	30	18	then	then	ADV
ejpam-3306	30	19	the	the	DET
ejpam-3306	30	20	relations	relation	NOUN
ejpam-3306	30	21	r	r	NOUN
ejpam-3306	30	22	and	and	CCONJ
ejpam-3306	30	23	l	l	NOUN
ejpam-3306	30	24	are	be	AUX
ejpam-3306	30	25	equivalence	equivalence	NOUN
ejpam-3306	30	26	relations	relation	NOUN
ejpam-3306	30	27	on	on	ADP
ejpam-3306	30	28	h.	h.	PROPN
ejpam-3306	30	29	we	we	PRON
ejpam-3306	30	30	prove	prove	VERB
ejpam-3306	30	31	that	that	SCONJ
ejpam-3306	30	32	a	a	DET
ejpam-3306	30	33	commutative	commutative	ADJ
ejpam-3306	30	34	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	30	35	h	h	NOUN
ejpam-3306	30	36	is	be	AUX
ejpam-3306	30	37	right	right	ADV
ejpam-3306	30	38	consistent	consistent	ADJ
ejpam-3306	30	39	if	if	SCONJ
ejpam-3306	30	40	and	and	CCONJ
ejpam-3306	30	41	only	only	ADV
ejpam-3306	30	42	if	if	SCONJ
ejpam-3306	30	43	it	it	PRON
ejpam-3306	30	44	is	be	AUX
ejpam-3306	30	45	left	leave	VERB
ejpam-3306	30	46	consistent	consistent	ADJ
ejpam-3306	30	47	and	and	CCONJ
ejpam-3306	30	48	therefore	therefore	ADV
ejpam-3306	30	49	consistent	consistent	ADJ
ejpam-3306	30	50	;	;	PUNCT
ejpam-3306	30	51	and	and	CCONJ
ejpam-3306	30	52	if	if	SCONJ
ejpam-3306	30	53	a	a	DET
ejpam-3306	30	54	commutative	commutative	ADJ
ejpam-3306	30	55	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	30	56	h	h	NOUN
ejpam-3306	30	57	is	be	AUX
ejpam-3306	30	58	right	right	ADJ
ejpam-3306	30	59	or	or	CCONJ
ejpam-3306	30	60	left	leave	VERB
ejpam-3306	30	61	consistent	consistent	ADJ
ejpam-3306	30	62	,	,	PUNCT
ejpam-3306	30	63	then	then	ADV
ejpam-3306	30	64	it	it	PRON
ejpam-3306	30	65	is	be	AUX
ejpam-3306	30	66	intra	intra	ADJ
ejpam-3306	30	67	-	-	ADJ
ejpam-3306	30	68	consistent	consistent	ADJ
ejpam-3306	30	69	.	.	PUNCT
ejpam-3306	31	1	in	in	ADP
ejpam-3306	31	2	addition	addition	NOUN
ejpam-3306	31	3	,	,	PUNCT
ejpam-3306	31	4	we	we	PRON
ejpam-3306	31	5	give	give	VERB
ejpam-3306	31	6	some	some	DET
ejpam-3306	31	7	conditions	condition	NOUN
ejpam-3306	31	8	under	under	ADP
ejpam-3306	31	9	which	which	PRON
ejpam-3306	31	10	in	in	ADP
ejpam-3306	31	11	consistent	consistent	ADJ
ejpam-3306	31	12	commutative	commutative	ADJ
ejpam-3306	31	13	hypergroupoids	hypergroupoid	NOUN
ejpam-3306	31	14	the	the	DET
ejpam-3306	31	15	green	green	PROPN
ejpam-3306	31	16	’s	’s	PART
ejpam-3306	31	17	relationr	relationr	PROPN
ejpam-3306	31	18	(=	(=	X
ejpam-3306	31	19	l	l	NOUN
ejpam-3306	31	20	)	)	PUNCT
ejpam-3306	31	21	is	be	AUX
ejpam-3306	31	22	a	a	DET
ejpam-3306	31	23	semilattice	semilattice	NOUN
ejpam-3306	31	24	congruence	congruence	NOUN
ejpam-3306	31	25	that	that	PRON
ejpam-3306	31	26	certainly	certainly	ADV
ejpam-3306	31	27	leads	lead	VERB
ejpam-3306	31	28	to	to	ADP
ejpam-3306	31	29	further	further	ADJ
ejpam-3306	31	30	investigation	investigation	NOUN
ejpam-3306	31	31	.	.	PUNCT
ejpam-3306	32	1	following	follow	VERB
ejpam-3306	32	2	[	[	X
ejpam-3306	32	3	2	2	NUM
ejpam-3306	32	4	,	,	PUNCT
ejpam-3306	32	5	3	3	NUM
ejpam-3306	32	6	]	]	PUNCT
ejpam-3306	32	7	,	,	PUNCT
ejpam-3306	32	8	some	some	DET
ejpam-3306	32	9	further	far	ADV
ejpam-3306	32	10	related	relate	VERB
ejpam-3306	32	11	results	result	NOUN
ejpam-3306	32	12	that	that	PRON
ejpam-3306	32	13	characterize	characterize	VERB
ejpam-3306	32	14	the	the	DET
ejpam-3306	32	15	right	right	NOUN
ejpam-3306	32	16	(	(	PUNCT
ejpam-3306	32	17	left	left	ADJ
ejpam-3306	32	18	)	)	PUNCT
ejpam-3306	32	19	consistent	consistent	ADJ
ejpam-3306	32	20	right	right	INTJ
ejpam-3306	32	21	(	(	PUNCT
ejpam-3306	32	22	left	left	ADJ
ejpam-3306	32	23	)	)	PUNCT
ejpam-3306	32	24	simple	simple	ADJ
ejpam-3306	32	25	hypergroupoids	hypergroupoid	NOUN
ejpam-3306	32	26	have	have	AUX
ejpam-3306	32	27	been	be	AUX
ejpam-3306	32	28	given	give	VERB
ejpam-3306	32	29	.	.	PUNCT
ejpam-3306	33	1	a	a	DET
ejpam-3306	33	2	similar	similar	ADJ
ejpam-3306	33	3	characterization	characterization	NOUN
ejpam-3306	33	4	of	of	ADP
ejpam-3306	33	5	intra	intra	ADJ
ejpam-3306	33	6	-	-	ADJ
ejpam-3306	33	7	consistent	consistent	ADJ
ejpam-3306	33	8	right	right	NOUN
ejpam-3306	33	9	(	(	PUNCT
ejpam-3306	33	10	left	left	ADJ
ejpam-3306	33	11	)	)	PUNCT
ejpam-3306	33	12	simple	simple	ADJ
ejpam-3306	33	13	hypergroupoids	hypergroupoid	NOUN
ejpam-3306	33	14	has	have	AUX
ejpam-3306	33	15	been	be	AUX
ejpam-3306	33	16	also	also	ADV
ejpam-3306	33	17	given	give	VERB
ejpam-3306	33	18	.	.	PUNCT
ejpam-3306	34	1	we	we	PRON
ejpam-3306	34	2	use	use	VERB
ejpam-3306	34	3	the	the	DET
ejpam-3306	34	4	term	term	NOUN
ejpam-3306	34	5	right	right	ADV
ejpam-3306	34	6	(	(	PUNCT
ejpam-3306	34	7	left	left	ADJ
ejpam-3306	34	8	)	)	PUNCT
ejpam-3306	34	9	consistent	consistent	ADJ
ejpam-3306	34	10	,	,	PUNCT
ejpam-3306	34	11	intra	intra	ADJ
ejpam-3306	34	12	-	-	ADJ
ejpam-3306	34	13	consistent	consistent	ADJ
ejpam-3306	34	14	instead	instead	ADV
ejpam-3306	34	15	of	of	ADP
ejpam-3306	34	16	weakly	weakly	ADJ
ejpam-3306	34	17	right	right	ADV
ejpam-3306	34	18	(	(	PUNCT
ejpam-3306	34	19	left	left	ADJ
ejpam-3306	34	20	)	)	PUNCT
ejpam-3306	34	21	consistent	consistent	ADJ
ejpam-3306	34	22	,	,	PUNCT
ejpam-3306	34	23	weakly	weakly	ADJ
ejpam-3306	34	24	intra	intra	ADJ
ejpam-3306	34	25	-	-	ADJ
ejpam-3306	34	26	consistent	consistent	ADJ
ejpam-3306	34	27	introduced	introduce	VERB
ejpam-3306	34	28	by	by	ADP
ejpam-3306	34	29	kapp	kapp	PROPN
ejpam-3306	34	30	.	.	PUNCT
ejpam-3306	35	1	in	in	ADP
ejpam-3306	35	2	fact	fact	NOUN
ejpam-3306	35	3	,	,	PUNCT
ejpam-3306	35	4	kapp	kapp	PROPN
ejpam-3306	35	5	calls	call	VERB
ejpam-3306	35	6	right	right	ADJ
ejpam-3306	35	7	(	(	PUNCT
ejpam-3306	35	8	left	left	ADJ
ejpam-3306	35	9	)	)	PUNCT
ejpam-3306	35	10	consistent	consistent	ADJ
ejpam-3306	35	11	if	if	SCONJ
ejpam-3306	35	12	the	the	DET
ejpam-3306	35	13	corresponding	correspond	VERB
ejpam-3306	35	14	property	property	NOUN
ejpam-3306	35	15	holds	hold	VERB
ejpam-3306	35	16	for	for	ADP
ejpam-3306	35	17	any	any	DET
ejpam-3306	35	18	subgroupoid	subgroupoid	NOUN
ejpam-3306	35	19	of	of	ADP
ejpam-3306	35	20	the	the	DET
ejpam-3306	35	21	groupoid	groupoid	NOUN
ejpam-3306	35	22	and	and	CCONJ
ejpam-3306	35	23	he	he	PRON
ejpam-3306	35	24	uses	use	VERB
ejpam-3306	35	25	the	the	DET
ejpam-3306	35	26	term	term	NOUN
ejpam-3306	35	27	“	"	PUNCT
ejpam-3306	35	28	weakly	weakly	ADJ
ejpam-3306	35	29	”	"	PUNCT
ejpam-3306	35	30	if	if	SCONJ
ejpam-3306	35	31	it	it	PRON
ejpam-3306	35	32	holds	hold	VERB
ejpam-3306	35	33	for	for	ADP
ejpam-3306	35	34	the	the	DET
ejpam-3306	35	35	groupoid	groupoid	PROPN
ejpam-3306	35	36	itself	itself	PRON
ejpam-3306	35	37	.	.	PUNCT
ejpam-3306	36	1	illustrative	illustrative	ADJ
ejpam-3306	36	2	example	example	NOUN
ejpam-3306	36	3	are	be	AUX
ejpam-3306	36	4	given	give	VERB
ejpam-3306	36	5	.	.	PUNCT
ejpam-3306	37	1	an	an	DET
ejpam-3306	37	2	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	37	3	is	be	AUX
ejpam-3306	37	4	a	a	DET
ejpam-3306	37	5	nonempty	nonempty	ADV
ejpam-3306	37	6	set	set	VERB
ejpam-3306	37	7	h	h	NOUN
ejpam-3306	37	8	with	with	ADP
ejpam-3306	37	9	an	an	DET
ejpam-3306	37	10	hyperoperation	hyperoperation	NOUN
ejpam-3306	37	11	“	"	PUNCT
ejpam-3306	37	12	◦	◦	NOUN
ejpam-3306	37	13	”	"	PUNCT
ejpam-3306	37	14	on	on	ADP
ejpam-3306	37	15	h	h	NOUN
ejpam-3306	37	16	and	and	CCONJ
ejpam-3306	37	17	an	an	DET
ejpam-3306	37	18	operation	operation	NOUN
ejpam-3306	37	19	“	"	PUNCT
ejpam-3306	37	20	∗	∗	NOUN
ejpam-3306	37	21	”	"	PUNCT
ejpam-3306	37	22	on	on	ADP
ejpam-3306	37	23	the	the	DET
ejpam-3306	37	24	set	set	PROPN
ejpam-3306	37	25	p∗(h	p∗(h	PROPN
ejpam-3306	37	26	)	)	PUNCT
ejpam-3306	37	27	of	of	ADP
ejpam-3306	37	28	nonempty	nonempty	ADJ
ejpam-3306	37	29	subsets	subset	NOUN
ejpam-3306	37	30	of	of	ADP
ejpam-3306	37	31	h	h	NOUN
ejpam-3306	37	32	induced	induce	VERB
ejpam-3306	37	33	by	by	ADP
ejpam-3306	37	34	“	"	PUNCT
ejpam-3306	37	35	◦	◦	NOUN
ejpam-3306	37	36	”	"	PUNCT
ejpam-3306	38	1	such	such	ADJ
ejpam-3306	38	2	that	that	SCONJ
ejpam-3306	38	3	a∗b	a∗b	PROPN
ejpam-3306	39	1	=	=	NOUN
ejpam-3306	39	2	⋃	⋃	PROPN
ejpam-3306	39	3	(	(	PUNCT
ejpam-3306	39	4	a	a	PRON
ejpam-3306	39	5	,	,	PUNCT
ejpam-3306	39	6	b)∈a×b	b)∈a×b	NUM
ejpam-3306	39	7	(	(	PUNCT
ejpam-3306	39	8	a	a	DET
ejpam-3306	39	9	◦	◦	NOUN
ejpam-3306	39	10	b	b	NOUN
ejpam-3306	39	11	)	)	PUNCT
ejpam-3306	39	12	for	for	ADP
ejpam-3306	39	13	every	every	DET
ejpam-3306	39	14	a	a	PROPN
ejpam-3306	39	15	,	,	PUNCT
ejpam-3306	39	16	b	b	PROPN
ejpam-3306	39	17	∈	∈	PROPN
ejpam-3306	39	18	p∗(h	p∗(h	PROPN
ejpam-3306	39	19	)	)	PUNCT
ejpam-3306	39	20	.	.	PUNCT
ejpam-3306	40	1	an	an	DET
ejpam-3306	40	2	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	40	3	h	h	NOUN
ejpam-3306	40	4	is	be	AUX
ejpam-3306	40	5	called	call	VERB
ejpam-3306	40	6	hypersemigroup	hypersemigroup	ADV
ejpam-3306	40	7	if	if	SCONJ
ejpam-3306	40	8	{	{	PUNCT
ejpam-3306	40	9	x	x	NOUN
ejpam-3306	40	10	}	}	PUNCT
ejpam-3306	40	11	∗	∗	NOUN
ejpam-3306	40	12	(	(	PUNCT
ejpam-3306	40	13	y	y	PROPN
ejpam-3306	40	14	◦	◦	PROPN
ejpam-3306	40	15	z	z	PROPN
ejpam-3306	40	16	)	)	PUNCT
ejpam-3306	40	17	=	=	SYM
ejpam-3306	41	1	(	(	PUNCT
ejpam-3306	41	2	x	x	SYM
ejpam-3306	41	3	◦	◦	VERB
ejpam-3306	41	4	y	y	NOUN
ejpam-3306	41	5	)	)	PUNCT
ejpam-3306	41	6	∗	∗	NOUN
ejpam-3306	41	7	{	{	PUNCT
ejpam-3306	41	8	z	z	NOUN
ejpam-3306	41	9	}	}	PUNCT
ejpam-3306	41	10	for	for	ADP
ejpam-3306	41	11	every	every	DET
ejpam-3306	41	12	x	x	PROPN
ejpam-3306	41	13	,	,	PUNCT
ejpam-3306	41	14	y	y	PROPN
ejpam-3306	41	15	,	,	PUNCT
ejpam-3306	41	16	z	z	PROPN
ejpam-3306	41	17	∈	∈	PROPN
ejpam-3306	41	18	h.	h.	NOUN
ejpam-3306	41	19	if	if	SCONJ
ejpam-3306	41	20	h	h	NOUN
ejpam-3306	41	21	is	be	AUX
ejpam-3306	41	22	an	an	DET
ejpam-3306	41	23	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	41	24	then	then	ADV
ejpam-3306	41	25	,	,	PUNCT
ejpam-3306	41	26	for	for	ADP
ejpam-3306	41	27	every	every	DET
ejpam-3306	41	28	x	x	NOUN
ejpam-3306	41	29	,	,	PUNCT
ejpam-3306	41	30	y	y	PROPN
ejpam-3306	41	31	∈	∈	PROPN
ejpam-3306	41	32	h	h	NOUN
ejpam-3306	41	33	,	,	PUNCT
ejpam-3306	41	34	we	we	PRON
ejpam-3306	41	35	have	have	AUX
ejpam-3306	41	36	{	{	PUNCT
ejpam-3306	41	37	x	x	NOUN
ejpam-3306	41	38	}	}	PUNCT
ejpam-3306	41	39	∗	∗	NOUN
ejpam-3306	41	40	{	{	PUNCT
ejpam-3306	41	41	y	y	NOUN
ejpam-3306	41	42	}	}	PUNCT
ejpam-3306	41	43	=	=	SYM
ejpam-3306	41	44	x	x	PUNCT
ejpam-3306	41	45	◦	◦	NOUN
ejpam-3306	41	46	y.	y.	NOUN
ejpam-3306	41	47	the	the	DET
ejpam-3306	41	48	following	follow	VERB
ejpam-3306	41	49	two	two	NUM
ejpam-3306	41	50	properties	property	NOUN
ejpam-3306	41	51	,	,	PUNCT
ejpam-3306	41	52	though	though	SCONJ
ejpam-3306	41	53	clear	clear	ADJ
ejpam-3306	41	54	,	,	PUNCT
ejpam-3306	41	55	play	play	VERB
ejpam-3306	41	56	an	an	DET
ejpam-3306	41	57	essential	essential	ADJ
ejpam-3306	41	58	role	role	NOUN
ejpam-3306	41	59	in	in	ADP
ejpam-3306	41	60	the	the	DET
ejpam-3306	41	61	investigation	investigation	NOUN
ejpam-3306	41	62	:	:	PUNCT
ejpam-3306	41	63	if	if	SCONJ
ejpam-3306	41	64	a	a	PRON
ejpam-3306	41	65	and	and	CCONJ
ejpam-3306	41	66	b	b	NOUN
ejpam-3306	41	67	are	be	AUX
ejpam-3306	41	68	two	two	NUM
ejpam-3306	41	69	nonempty	nonempty	ADJ
ejpam-3306	41	70	subsets	subset	NOUN
ejpam-3306	41	71	of	of	ADP
ejpam-3306	41	72	an	an	DET
ejpam-3306	41	73	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	41	74	h	h	NOUN
ejpam-3306	41	75	,	,	PUNCT
ejpam-3306	41	76	then	then	ADV
ejpam-3306	41	77	we	we	PRON
ejpam-3306	41	78	have	have	VERB
ejpam-3306	41	79	the	the	DET
ejpam-3306	41	80	following	follow	VERB
ejpam-3306	41	81	(	(	PUNCT
ejpam-3306	41	82	1	1	X
ejpam-3306	41	83	)	)	PUNCT
ejpam-3306	41	84	if	if	SCONJ
ejpam-3306	41	85	x	x	SYM
ejpam-3306	41	86	∈	∈	PROPN
ejpam-3306	41	87	a	a	DET
ejpam-3306	41	88	◦	◦	NOUN
ejpam-3306	41	89	b	b	NOUN
ejpam-3306	41	90	for	for	ADP
ejpam-3306	41	91	some	some	DET
ejpam-3306	41	92	a	a	DET
ejpam-3306	41	93	∈	∈	PROPN
ejpam-3306	41	94	a	a	PRON
ejpam-3306	41	95	,	,	PUNCT
ejpam-3306	41	96	b	b	PROPN
ejpam-3306	41	97	∈	∈	PROPN
ejpam-3306	41	98	b	b	PROPN
ejpam-3306	41	99	,	,	PUNCT
ejpam-3306	41	100	then	then	ADV
ejpam-3306	41	101	x	x	PART
ejpam-3306	41	102	∈	∈	PROPN
ejpam-3306	41	103	a	a	DET
ejpam-3306	41	104	∗b	∗b	PROPN
ejpam-3306	41	105	and	and	CCONJ
ejpam-3306	41	106	(	(	PUNCT
ejpam-3306	41	107	2	2	X
ejpam-3306	41	108	)	)	PUNCT
ejpam-3306	41	109	if	if	SCONJ
ejpam-3306	41	110	x	x	SYM
ejpam-3306	41	111	∈	∈	PROPN
ejpam-3306	41	112	a	a	DET
ejpam-3306	41	113	∗b	∗b	NOUN
ejpam-3306	41	114	,	,	PUNCT
ejpam-3306	41	115	then	then	ADV
ejpam-3306	41	116	there	there	PRON
ejpam-3306	41	117	exist	exist	VERB
ejpam-3306	41	118	a	a	DET
ejpam-3306	41	119	∈	∈	PROPN
ejpam-3306	42	1	a	a	PRON
ejpam-3306	42	2	and	and	CCONJ
ejpam-3306	42	3	b	b	NOUN
ejpam-3306	42	4	∈	∈	PROPN
ejpam-3306	42	5	b	b	NOUN
ejpam-3306	42	6	such	such	ADJ
ejpam-3306	42	7	that	that	SCONJ
ejpam-3306	42	8	x	x	SYM
ejpam-3306	42	9	∈	∈	PROPN
ejpam-3306	42	10	a	a	DET
ejpam-3306	42	11	◦	◦	NOUN
ejpam-3306	42	12	b.	b.	PROPN
ejpam-3306	42	13	moroever	moroever	PROPN
ejpam-3306	42	14	,	,	PUNCT
ejpam-3306	42	15	for	for	ADP
ejpam-3306	42	16	nonempty	nonempty	NOUN
ejpam-3306	42	17	subsets	subset	NOUN
ejpam-3306	42	18	a	a	DET
ejpam-3306	42	19	,	,	PUNCT
ejpam-3306	42	20	b	b	NOUN
ejpam-3306	42	21	,	,	PUNCT
ejpam-3306	42	22	c	c	NOUN
ejpam-3306	42	23	of	of	ADP
ejpam-3306	42	24	h	h	PRON
ejpam-3306	42	25	such	such	ADJ
ejpam-3306	42	26	that	that	SCONJ
ejpam-3306	42	27	a	a	DET
ejpam-3306	42	28	⊆	⊆	NUM
ejpam-3306	42	29	b	b	NOUN
ejpam-3306	42	30	,	,	PUNCT
ejpam-3306	42	31	we	we	PRON
ejpam-3306	42	32	have	have	VERB
ejpam-3306	42	33	a	a	DET
ejpam-3306	42	34	∗	∗	NOUN
ejpam-3306	42	35	c	c	NOUN
ejpam-3306	42	36	⊆	⊆	NUM
ejpam-3306	42	37	b	b	NOUN
ejpam-3306	42	38	∗	∗	NOUN
ejpam-3306	42	39	c	c	NOUN
ejpam-3306	42	40	and	and	CCONJ
ejpam-3306	42	41	c	c	PROPN
ejpam-3306	42	42	∗	∗	NOUN
ejpam-3306	42	43	a	a	DET
ejpam-3306	42	44	⊆	⊆	NUM
ejpam-3306	42	45	c	c	NOUN
ejpam-3306	42	46	∗	∗	NOUN
ejpam-3306	42	47	b	b	NOUN
ejpam-3306	42	48	,	,	PUNCT
ejpam-3306	42	49	we	we	PRON
ejpam-3306	42	50	also	also	ADV
ejpam-3306	42	51	have	have	VERB
ejpam-3306	42	52	h	h	NOUN
ejpam-3306	42	53	∗	∗	NOUN
ejpam-3306	42	54	a	a	DET
ejpam-3306	42	55	⊆	⊆	NUM
ejpam-3306	42	56	h	h	NOUN
ejpam-3306	42	57	and	and	CCONJ
ejpam-3306	42	58	a	a	DET
ejpam-3306	42	59	∗h	∗h	NOUN
ejpam-3306	42	60	⊆	⊆	NUM
ejpam-3306	42	61	h.	h.	NOUN
ejpam-3306	42	62	a	a	DET
ejpam-3306	42	63	nonempty	nonempty	NOUN
ejpam-3306	42	64	subset	subset	VERB
ejpam-3306	42	65	a	a	PRON
ejpam-3306	42	66	of	of	ADP
ejpam-3306	42	67	h	h	NOUN
ejpam-3306	42	68	is	be	AUX
ejpam-3306	42	69	called	call	VERB
ejpam-3306	42	70	a	a	DET
ejpam-3306	42	71	right	right	NOUN
ejpam-3306	42	72	(	(	PUNCT
ejpam-3306	42	73	resp	resp	NOUN
ejpam-3306	42	74	.	.	PUNCT
ejpam-3306	43	1	left	left	ADJ
ejpam-3306	43	2	)	)	PUNCT
ejpam-3306	43	3	ideal	ideal	NOUN
ejpam-3306	43	4	of	of	ADP
ejpam-3306	43	5	h	h	NOUN
ejpam-3306	43	6	if	if	SCONJ
ejpam-3306	43	7	a	a	DET
ejpam-3306	43	8	∗	∗	NOUN
ejpam-3306	43	9	h	h	NOUN
ejpam-3306	44	1	⊆	⊆	NUM
ejpam-3306	44	2	a	a	DET
ejpam-3306	44	3	(	(	PUNCT
ejpam-3306	44	4	resp	resp	NOUN
ejpam-3306	44	5	.	.	PUNCT
ejpam-3306	45	1	h	h	PROPN
ejpam-3306	45	2	∗	∗	VERB
ejpam-3306	45	3	a	a	DET
ejpam-3306	45	4	⊆	⊆	NUM
ejpam-3306	45	5	a	a	NOUN
ejpam-3306	45	6	)	)	PUNCT
ejpam-3306	45	7	,	,	PUNCT
ejpam-3306	45	8	equivalently	equivalently	ADV
ejpam-3306	45	9	if	if	SCONJ
ejpam-3306	45	10	for	for	ADP
ejpam-3306	45	11	every	every	DET
ejpam-3306	45	12	a	a	DET
ejpam-3306	45	13	∈	∈	PROPN
ejpam-3306	45	14	a	a	PRON
ejpam-3306	45	15	and	and	CCONJ
ejpam-3306	45	16	every	every	DET
ejpam-3306	45	17	h	h	NOUN
ejpam-3306	45	18	∈	∈	PROPN
ejpam-3306	45	19	h	h	NOUN
ejpam-3306	45	20	,	,	PUNCT
ejpam-3306	45	21	we	we	PRON
ejpam-3306	45	22	have	have	VERB
ejpam-3306	45	23	a	a	DET
ejpam-3306	45	24	◦	◦	NOUN
ejpam-3306	45	25	h	h	NOUN
ejpam-3306	45	26	⊆	⊆	NUM
ejpam-3306	45	27	a	a	DET
ejpam-3306	45	28	(	(	PUNCT
ejpam-3306	45	29	resp	resp	NOUN
ejpam-3306	45	30	.	.	PUNCT
ejpam-3306	46	1	h	h	PROPN
ejpam-3306	46	2	◦	◦	VERB
ejpam-3306	46	3	a	a	DET
ejpam-3306	46	4	⊆	⊆	NUM
ejpam-3306	46	5	a	a	NOUN
ejpam-3306	46	6	)	)	PUNCT
ejpam-3306	46	7	.	.	PUNCT
ejpam-3306	47	1	a	a	DET
ejpam-3306	47	2	nonempty	nonempty	NOUN
ejpam-3306	47	3	subset	subset	VERB
ejpam-3306	47	4	t	t	NOUN
ejpam-3306	47	5	of	of	ADP
ejpam-3306	47	6	an	an	DET
ejpam-3306	47	7	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	47	8	h	h	NOUN
ejpam-3306	47	9	is	be	AUX
ejpam-3306	47	10	called	call	VERB
ejpam-3306	47	11	a	a	DET
ejpam-3306	47	12	subgroupoid	subgroupoid	NOUN
ejpam-3306	47	13	of	of	ADP
ejpam-3306	47	14	h	h	NOUN
ejpam-3306	47	15	if	if	SCONJ
ejpam-3306	47	16	a	a	PRON
ejpam-3306	47	17	,	,	PUNCT
ejpam-3306	47	18	b	b	PROPN
ejpam-3306	47	19	∈	∈	PROPN
ejpam-3306	47	20	t	t	PROPN
ejpam-3306	47	21	implies	imply	VERB
ejpam-3306	47	22	a	a	DET
ejpam-3306	47	23	◦	◦	NOUN
ejpam-3306	47	24	b	b	NUM
ejpam-3306	47	25	⊆	⊆	NUM
ejpam-3306	47	26	t	t	NOUN
ejpam-3306	47	27	,	,	PUNCT
ejpam-3306	47	28	equivalently	equivalently	ADV
ejpam-3306	47	29	if	if	SCONJ
ejpam-3306	47	30	t	t	PROPN
ejpam-3306	47	31	∗	∗	NOUN
ejpam-3306	47	32	t	t	PROPN
ejpam-3306	47	33	⊆	⊆	NUM
ejpam-3306	47	34	t	t	NOUN
ejpam-3306	47	35	.	.	PUNCT
ejpam-3306	48	1	clearly	clearly	ADV
ejpam-3306	48	2	,	,	PUNCT
ejpam-3306	48	3	every	every	DET
ejpam-3306	48	4	right	right	ADJ
ejpam-3306	48	5	ideal	ideal	NOUN
ejpam-3306	48	6	or	or	CCONJ
ejpam-3306	48	7	left	leave	VERB
ejpam-3306	48	8	ideal	ideal	NOUN
ejpam-3306	48	9	of	of	ADP
ejpam-3306	48	10	h	h	NOUN
ejpam-3306	48	11	is	be	AUX
ejpam-3306	48	12	a	a	DET
ejpam-3306	48	13	subgroupoid	subgroupoid	NOUN
ejpam-3306	48	14	of	of	ADP
ejpam-3306	48	15	h.	h.	PROPN
ejpam-3306	48	16	an	an	DET
ejpam-3306	48	17	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	48	18	h	h	PROPN
ejpam-3306	48	19	is	be	AUX
ejpam-3306	48	20	called	call	VERB
ejpam-3306	48	21	commutative	commutative	ADJ
ejpam-3306	48	22	if	if	SCONJ
ejpam-3306	48	23	,	,	PUNCT
ejpam-3306	48	24	for	for	ADP
ejpam-3306	48	25	any	any	DET
ejpam-3306	48	26	a	a	NOUN
ejpam-3306	48	27	,	,	PUNCT
ejpam-3306	48	28	b	b	X
ejpam-3306	48	29	∈	∈	PROPN
ejpam-3306	48	30	h	h	NOUN
ejpam-3306	48	31	,	,	PUNCT
ejpam-3306	48	32	we	we	PRON
ejpam-3306	48	33	have	have	VERB
ejpam-3306	48	34	a	a	DET
ejpam-3306	48	35	◦	◦	NOUN
ejpam-3306	48	36	b	b	NOUN
ejpam-3306	48	37	=	=	SYM
ejpam-3306	48	38	b	b	PROPN
ejpam-3306	48	39	◦	◦	NOUN
ejpam-3306	48	40	a.	a.	NOUN
ejpam-3306	48	41	for	for	ADP
ejpam-3306	48	42	further	further	ADJ
ejpam-3306	48	43	information	information	NOUN
ejpam-3306	48	44	we	we	PRON
ejpam-3306	48	45	refer	refer	VERB
ejpam-3306	48	46	to	to	ADP
ejpam-3306	48	47	[	[	X
ejpam-3306	48	48	4–8	4–8	NOUN
ejpam-3306	48	49	]	]	X
ejpam-3306	48	50	.	.	PUNCT
ejpam-3306	49	1	n.	n.	PROPN
ejpam-3306	49	2	kehayopulu	kehayopulu	PROPN
ejpam-3306	49	3	/	/	SYM
ejpam-3306	49	4	eur	eur	PROPN
ejpam-3306	49	5	.	.	PUNCT
ejpam-3306	50	1	j.	j.	PROPN
ejpam-3306	50	2	pure	pure	PROPN
ejpam-3306	50	3	appl	appl	PROPN
ejpam-3306	50	4	.	.	PROPN
ejpam-3306	50	5	math	math	PROPN
ejpam-3306	50	6	,	,	PUNCT
ejpam-3306	50	7	11	11	NUM
ejpam-3306	50	8	(	(	PUNCT
ejpam-3306	50	9	3	3	NUM
ejpam-3306	50	10	)	)	PUNCT
ejpam-3306	50	11	(	(	PUNCT
ejpam-3306	50	12	2018	2018	NUM
ejpam-3306	50	13	)	)	PUNCT
ejpam-3306	50	14	,	,	PUNCT
ejpam-3306	50	15	598	598	NUM
ejpam-3306	50	16	-	-	SYM
ejpam-3306	50	17	611	611	NUM
ejpam-3306	50	18	600	600	NUM
ejpam-3306	50	19	2	2	NUM
ejpam-3306	50	20	.	.	PUNCT
ejpam-3306	50	21	green	green	PROPN
ejpam-3306	50	22	’s	’s	PART
ejpam-3306	50	23	relations	relation	NOUN
ejpam-3306	50	24	for	for	ADP
ejpam-3306	50	25	hypersemigroups	hypersemigroup	NOUN
ejpam-3306	50	26	definition	definition	NOUN
ejpam-3306	50	27	2.1	2.1	NUM
ejpam-3306	50	28	.	.	PUNCT
ejpam-3306	51	1	for	for	ADP
ejpam-3306	51	2	an	an	DET
ejpam-3306	51	3	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	51	4	h	h	NOUN
ejpam-3306	51	5	,	,	PUNCT
ejpam-3306	51	6	we	we	PRON
ejpam-3306	51	7	define	define	VERB
ejpam-3306	51	8	the	the	DET
ejpam-3306	51	9	relations	relation	NOUN
ejpam-3306	51	10	r	r	NOUN
ejpam-3306	51	11	and	and	CCONJ
ejpam-3306	51	12	l	l	NOUN
ejpam-3306	51	13	on	on	ADP
ejpam-3306	51	14	h	h	NOUN
ejpam-3306	51	15	as	as	SCONJ
ejpam-3306	51	16	follows	follow	VERB
ejpam-3306	51	17	:	:	PUNCT
ejpam-3306	51	18	arb	arb	VERB
ejpam-3306	51	19	if	if	SCONJ
ejpam-3306	51	20	a	a	DET
ejpam-3306	51	21	=	=	SYM
ejpam-3306	51	22	b	b	NOUN
ejpam-3306	51	23	or	or	CCONJ
ejpam-3306	51	24	there	there	PRON
ejpam-3306	51	25	exist	exist	VERB
ejpam-3306	51	26	x	x	NOUN
ejpam-3306	51	27	,	,	PUNCT
ejpam-3306	51	28	y	y	PROPN
ejpam-3306	51	29	∈	∈	PROPN
ejpam-3306	51	30	h	h	NOUN
ejpam-3306	51	31	such	such	ADJ
ejpam-3306	51	32	that	that	SCONJ
ejpam-3306	51	33	a	a	DET
ejpam-3306	51	34	∈	∈	PROPN
ejpam-3306	51	35	b	b	NOUN
ejpam-3306	51	36	◦	◦	NOUN
ejpam-3306	51	37	x	x	X
ejpam-3306	51	38	and	and	CCONJ
ejpam-3306	51	39	b	b	X
ejpam-3306	51	40	∈	∈	PROPN
ejpam-3306	51	41	a	a	DET
ejpam-3306	51	42	◦	◦	NOUN
ejpam-3306	51	43	y	y	PROPN
ejpam-3306	51	44	and	and	CCONJ
ejpam-3306	51	45	alb	alb	VERB
ejpam-3306	51	46	if	if	SCONJ
ejpam-3306	51	47	a	a	DET
ejpam-3306	51	48	=	=	SYM
ejpam-3306	51	49	b	b	NOUN
ejpam-3306	51	50	or	or	CCONJ
ejpam-3306	51	51	there	there	PRON
ejpam-3306	51	52	exist	exist	VERB
ejpam-3306	51	53	x	x	NOUN
ejpam-3306	51	54	,	,	PUNCT
ejpam-3306	51	55	y	y	PROPN
ejpam-3306	51	56	∈	∈	PROPN
ejpam-3306	51	57	h	h	NOUN
ejpam-3306	51	58	such	such	ADJ
ejpam-3306	51	59	that	that	SCONJ
ejpam-3306	51	60	a	a	DET
ejpam-3306	51	61	∈	∈	PROPN
ejpam-3306	51	62	x	x	PUNCT
ejpam-3306	51	63	◦	◦	NOUN
ejpam-3306	51	64	b	b	NOUN
ejpam-3306	51	65	and	and	CCONJ
ejpam-3306	51	66	b	b	X
ejpam-3306	51	67	∈	∈	PROPN
ejpam-3306	51	68	y	y	PROPN
ejpam-3306	51	69	◦	◦	NOUN
ejpam-3306	51	70	a.	a.	NOUN
ejpam-3306	51	71	when	when	SCONJ
ejpam-3306	51	72	is	be	AUX
ejpam-3306	51	73	convenient	convenient	ADJ
ejpam-3306	51	74	,	,	PUNCT
ejpam-3306	51	75	we	we	PRON
ejpam-3306	51	76	write	write	VERB
ejpam-3306	51	77	for	for	ADP
ejpam-3306	51	78	short	short	ADJ
ejpam-3306	51	79	,	,	PUNCT
ejpam-3306	51	80	a	a	DET
ejpam-3306	51	81	∗h	∗h	NOUN
ejpam-3306	51	82	instead	instead	ADV
ejpam-3306	51	83	of	of	ADP
ejpam-3306	51	84	{	{	PUNCT
ejpam-3306	51	85	a	a	DET
ejpam-3306	51	86	}	}	PUNCT
ejpam-3306	51	87	∗h	∗h	NOUN
ejpam-3306	51	88	and	and	CCONJ
ejpam-3306	51	89	h	h	NOUN
ejpam-3306	51	90	∗	∗	NOUN
ejpam-3306	51	91	a	a	DET
ejpam-3306	51	92	instead	instead	NOUN
ejpam-3306	51	93	of	of	ADP
ejpam-3306	51	94	h	h	NOUN
ejpam-3306	51	95	∗	∗	NOUN
ejpam-3306	51	96	{	{	PUNCT
ejpam-3306	51	97	a	a	NOUN
ejpam-3306	51	98	}	}	PUNCT
ejpam-3306	51	99	.	.	PUNCT
ejpam-3306	52	1	proposition	proposition	NOUN
ejpam-3306	52	2	2.2	2.2	NUM
ejpam-3306	52	3	.	.	PUNCT
ejpam-3306	53	1	let	let	VERB
ejpam-3306	53	2	h	h	PRON
ejpam-3306	53	3	be	be	AUX
ejpam-3306	53	4	an	an	DET
ejpam-3306	53	5	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	53	6	and	and	CCONJ
ejpam-3306	53	7	a	a	DET
ejpam-3306	53	8	,	,	PUNCT
ejpam-3306	53	9	b	b	PROPN
ejpam-3306	53	10	∈	∈	PROPN
ejpam-3306	53	11	h.	h.	NOUN
ejpam-3306	54	1	then	then	ADV
ejpam-3306	54	2	we	we	PRON
ejpam-3306	54	3	have	have	VERB
ejpam-3306	54	4	the	the	DET
ejpam-3306	54	5	following	following	NOUN
ejpam-3306	54	6	:	:	PUNCT
ejpam-3306	54	7	(	(	PUNCT
ejpam-3306	54	8	1	1	X
ejpam-3306	54	9	)	)	PUNCT
ejpam-3306	54	10	if	if	SCONJ
ejpam-3306	54	11	(	(	PUNCT
ejpam-3306	54	12	a	a	DET
ejpam-3306	54	13	∗h	∗h	NOUN
ejpam-3306	54	14	)	)	PUNCT
ejpam-3306	54	15	∪	∪	NOUN
ejpam-3306	54	16	{	{	PUNCT
ejpam-3306	54	17	a	a	NOUN
ejpam-3306	54	18	}	}	PUNCT
ejpam-3306	54	19	=	=	SYM
ejpam-3306	54	20	(	(	PUNCT
ejpam-3306	54	21	b	b	NOUN
ejpam-3306	54	22	∗h	∗h	NOUN
ejpam-3306	54	23	)	)	PUNCT
ejpam-3306	54	24	∪	∪	NOUN
ejpam-3306	54	25	{	{	PUNCT
ejpam-3306	54	26	b	b	NOUN
ejpam-3306	54	27	}	}	PUNCT
ejpam-3306	54	28	,	,	PUNCT
ejpam-3306	54	29	then	then	ADV
ejpam-3306	54	30	arb	arb	PROPN
ejpam-3306	54	31	;	;	PUNCT
ejpam-3306	54	32	(	(	PUNCT
ejpam-3306	54	33	2	2	X
ejpam-3306	54	34	)	)	PUNCT
ejpam-3306	54	35	if	if	SCONJ
ejpam-3306	54	36	(	(	PUNCT
ejpam-3306	54	37	h	h	NOUN
ejpam-3306	54	38	∗	∗	X
ejpam-3306	54	39	a	a	NOUN
ejpam-3306	54	40	)	)	PUNCT
ejpam-3306	54	41	∪	∪	X
ejpam-3306	54	42	{	{	PUNCT
ejpam-3306	54	43	a	a	NOUN
ejpam-3306	54	44	}	}	PUNCT
ejpam-3306	54	45	=	=	SYM
ejpam-3306	54	46	(	(	PUNCT
ejpam-3306	54	47	h	h	NOUN
ejpam-3306	54	48	∗	∗	NOUN
ejpam-3306	54	49	b	b	NOUN
ejpam-3306	54	50	)	)	PUNCT
ejpam-3306	54	51	∪	∪	NOUN
ejpam-3306	54	52	{	{	PUNCT
ejpam-3306	54	53	b	b	NOUN
ejpam-3306	54	54	}	}	PUNCT
ejpam-3306	54	55	,	,	PUNCT
ejpam-3306	54	56	then	then	ADV
ejpam-3306	54	57	alb	alb	PROPN
ejpam-3306	54	58	.	.	PROPN
ejpam-3306	54	59	proof	proof	NOUN
ejpam-3306	54	60	.	.	PUNCT
ejpam-3306	55	1	if	if	SCONJ
ejpam-3306	55	2	a	a	DET
ejpam-3306	55	3	=	=	SYM
ejpam-3306	55	4	b	b	NOUN
ejpam-3306	55	5	,	,	PUNCT
ejpam-3306	55	6	then	then	ADV
ejpam-3306	55	7	clearly	clearly	ADV
ejpam-3306	55	8	arb	arb	VERB
ejpam-3306	55	9	and	and	CCONJ
ejpam-3306	55	10	alb	alb	AUX
ejpam-3306	55	11	.	.	PROPN
ejpam-3306	55	12	suppose	suppose	VERB
ejpam-3306	55	13	a	a	DET
ejpam-3306	55	14	6=	6=	PROPN
ejpam-3306	55	15	b.	b.	PROPN
ejpam-3306	55	16	then	then	ADV
ejpam-3306	55	17	(	(	PUNCT
ejpam-3306	55	18	1	1	X
ejpam-3306	55	19	)	)	PUNCT
ejpam-3306	55	20	let	let	VERB
ejpam-3306	55	21	(	(	PUNCT
ejpam-3306	55	22	a	a	DET
ejpam-3306	55	23	∗h	∗h	NOUN
ejpam-3306	55	24	)	)	PUNCT
ejpam-3306	55	25	∪	∪	NOUN
ejpam-3306	55	26	{	{	PUNCT
ejpam-3306	55	27	a	a	NOUN
ejpam-3306	55	28	}	}	PUNCT
ejpam-3306	55	29	=	=	SYM
ejpam-3306	55	30	(	(	PUNCT
ejpam-3306	55	31	b	b	NOUN
ejpam-3306	55	32	∗h	∗h	NOUN
ejpam-3306	55	33	)	)	PUNCT
ejpam-3306	55	34	∪	∪	NOUN
ejpam-3306	55	35	{	{	PUNCT
ejpam-3306	55	36	b	b	NOUN
ejpam-3306	55	37	}	}	PUNCT
ejpam-3306	55	38	.	.	PUNCT
ejpam-3306	56	1	since	since	SCONJ
ejpam-3306	56	2	a	a	DET
ejpam-3306	56	3	∈	∈	NOUN
ejpam-3306	56	4	(	(	PUNCT
ejpam-3306	56	5	b	b	NOUN
ejpam-3306	56	6	∗h	∗h	NOUN
ejpam-3306	56	7	)	)	PUNCT
ejpam-3306	56	8	∪	∪	NOUN
ejpam-3306	56	9	{	{	PUNCT
ejpam-3306	56	10	b	b	NOUN
ejpam-3306	56	11	}	}	PUNCT
ejpam-3306	56	12	and	and	CCONJ
ejpam-3306	56	13	a	a	DET
ejpam-3306	56	14	6=	6=	PROPN
ejpam-3306	56	15	b	b	PROPN
ejpam-3306	56	16	,	,	PUNCT
ejpam-3306	56	17	there	there	PRON
ejpam-3306	56	18	exists	exist	VERB
ejpam-3306	56	19	x	x	X
ejpam-3306	56	20	∈	∈	NOUN
ejpam-3306	56	21	h	h	NOUN
ejpam-3306	56	22	such	such	ADJ
ejpam-3306	56	23	that	that	SCONJ
ejpam-3306	56	24	a	a	DET
ejpam-3306	56	25	∈	∈	PROPN
ejpam-3306	56	26	b	b	NOUN
ejpam-3306	56	27	◦	◦	NOUN
ejpam-3306	56	28	x.	x.	NOUN
ejpam-3306	56	29	since	since	SCONJ
ejpam-3306	56	30	b	b	PROPN
ejpam-3306	56	31	∈	∈	PROPN
ejpam-3306	56	32	(	(	PUNCT
ejpam-3306	56	33	a	a	DET
ejpam-3306	56	34	∗h)∪{a	∗h)∪{a	NOUN
ejpam-3306	56	35	}	}	PUNCT
ejpam-3306	56	36	and	and	CCONJ
ejpam-3306	56	37	b	b	X
ejpam-3306	56	38	6=	6=	ADP
ejpam-3306	56	39	a	a	X
ejpam-3306	56	40	,	,	PUNCT
ejpam-3306	56	41	there	there	PRON
ejpam-3306	56	42	exists	exist	VERB
ejpam-3306	56	43	y	y	PROPN
ejpam-3306	56	44	∈	∈	PROPN
ejpam-3306	56	45	h	h	NOUN
ejpam-3306	56	46	such	such	ADJ
ejpam-3306	56	47	that	that	DET
ejpam-3306	56	48	b	b	X
ejpam-3306	56	49	∈	∈	PROPN
ejpam-3306	56	50	a	a	DET
ejpam-3306	56	51	◦	◦	NOUN
ejpam-3306	56	52	y.	y.	NOUN
ejpam-3306	56	53	since	since	SCONJ
ejpam-3306	56	54	x	x	X
ejpam-3306	56	55	,	,	PUNCT
ejpam-3306	56	56	y	y	PROPN
ejpam-3306	56	57	∈	∈	PROPN
ejpam-3306	56	58	h	h	NOUN
ejpam-3306	56	59	such	such	ADJ
ejpam-3306	56	60	that	that	SCONJ
ejpam-3306	56	61	a	a	DET
ejpam-3306	56	62	∈	∈	PROPN
ejpam-3306	56	63	b	b	NOUN
ejpam-3306	56	64	◦	◦	NOUN
ejpam-3306	56	65	x	x	X
ejpam-3306	56	66	and	and	CCONJ
ejpam-3306	56	67	b	b	X
ejpam-3306	56	68	∈	∈	PROPN
ejpam-3306	56	69	a	a	DET
ejpam-3306	56	70	◦	◦	NOUN
ejpam-3306	56	71	y	y	PROPN
ejpam-3306	56	72	,	,	PUNCT
ejpam-3306	56	73	we	we	PRON
ejpam-3306	56	74	have	have	VERB
ejpam-3306	56	75	arb	arb	PROPN
ejpam-3306	56	76	.	.	PUNCT
ejpam-3306	57	1	the	the	DET
ejpam-3306	57	2	proof	proof	NOUN
ejpam-3306	57	3	of	of	ADP
ejpam-3306	57	4	(	(	PUNCT
ejpam-3306	57	5	2	2	X
ejpam-3306	57	6	)	)	PUNCT
ejpam-3306	57	7	is	be	AUX
ejpam-3306	57	8	similar	similar	ADJ
ejpam-3306	57	9	.	.	PUNCT
ejpam-3306	58	1	�	�	PROPN
ejpam-3306	58	2	proposition	proposition	NOUN
ejpam-3306	58	3	2.3	2.3	NUM
ejpam-3306	58	4	.	.	PUNCT
ejpam-3306	59	1	let	let	VERB
ejpam-3306	59	2	h	h	PRON
ejpam-3306	59	3	be	be	AUX
ejpam-3306	59	4	an	an	DET
ejpam-3306	59	5	hypersemigroup	hypersemigroup	NOUN
ejpam-3306	59	6	and	and	CCONJ
ejpam-3306	59	7	arb	arb	PROPN
ejpam-3306	59	8	.	.	PUNCT
ejpam-3306	60	1	then	then	ADV
ejpam-3306	60	2	we	we	PRON
ejpam-3306	60	3	have	have	VERB
ejpam-3306	60	4	the	the	DET
ejpam-3306	60	5	following	follow	VERB
ejpam-3306	60	6	(	(	PUNCT
ejpam-3306	60	7	1	1	X
ejpam-3306	60	8	)	)	PUNCT
ejpam-3306	60	9	if	if	SCONJ
ejpam-3306	60	10	arb	arb	PROPN
ejpam-3306	60	11	,	,	PUNCT
ejpam-3306	60	12	then	then	ADV
ejpam-3306	60	13	(	(	PUNCT
ejpam-3306	60	14	a	a	DET
ejpam-3306	60	15	∗h	∗h	NOUN
ejpam-3306	60	16	)	)	PUNCT
ejpam-3306	60	17	∪	∪	NOUN
ejpam-3306	60	18	{	{	PUNCT
ejpam-3306	60	19	a	a	NOUN
ejpam-3306	60	20	}	}	PUNCT
ejpam-3306	60	21	=	=	SYM
ejpam-3306	60	22	(	(	PUNCT
ejpam-3306	60	23	b	b	NOUN
ejpam-3306	60	24	∗h	∗h	NOUN
ejpam-3306	60	25	)	)	PUNCT
ejpam-3306	60	26	∪	∪	NOUN
ejpam-3306	60	27	{	{	PUNCT
ejpam-3306	60	28	b	b	NOUN
ejpam-3306	60	29	}	}	PUNCT
ejpam-3306	60	30	and	and	CCONJ
ejpam-3306	60	31	(	(	PUNCT
ejpam-3306	60	32	2	2	X
ejpam-3306	60	33	)	)	PUNCT
ejpam-3306	60	34	if	if	SCONJ
ejpam-3306	60	35	alb	alb	VERB
ejpam-3306	60	36	,	,	PUNCT
ejpam-3306	60	37	then	then	ADV
ejpam-3306	60	38	(	(	PUNCT
ejpam-3306	60	39	h	h	NOUN
ejpam-3306	60	40	∗	∗	PROPN
ejpam-3306	60	41	a	a	NOUN
ejpam-3306	60	42	)	)	PUNCT
ejpam-3306	60	43	∪	∪	X
ejpam-3306	60	44	{	{	PUNCT
ejpam-3306	60	45	a	a	NOUN
ejpam-3306	60	46	}	}	PUNCT
ejpam-3306	60	47	=	=	SYM
ejpam-3306	60	48	(	(	PUNCT
ejpam-3306	60	49	h	h	NOUN
ejpam-3306	60	50	∗	∗	NOUN
ejpam-3306	60	51	b	b	NOUN
ejpam-3306	60	52	)	)	PUNCT
ejpam-3306	60	53	∪	∪	NOUN
ejpam-3306	60	54	{	{	PUNCT
ejpam-3306	60	55	b	b	NOUN
ejpam-3306	60	56	}	}	PUNCT
ejpam-3306	60	57	.	.	PUNCT
ejpam-3306	61	1	proof	proof	NOUN
ejpam-3306	61	2	.	.	PUNCT
ejpam-3306	62	1	(	(	PUNCT
ejpam-3306	62	2	1	1	X
ejpam-3306	62	3	)	)	PUNCT
ejpam-3306	62	4	let	let	VERB
ejpam-3306	62	5	arb	arb	NOUN
ejpam-3306	62	6	and	and	CCONJ
ejpam-3306	62	7	u	u	NOUN
ejpam-3306	62	8	∈	∈	PROPN
ejpam-3306	62	9	(	(	PUNCT
ejpam-3306	62	10	a	a	DET
ejpam-3306	62	11	∗	∗	NOUN
ejpam-3306	62	12	h	h	NOUN
ejpam-3306	62	13	)	)	PUNCT
ejpam-3306	62	14	∪	∪	ADP
ejpam-3306	62	15	{	{	PUNCT
ejpam-3306	62	16	a	a	NOUN
ejpam-3306	62	17	}	}	PUNCT
ejpam-3306	62	18	.	.	PUNCT
ejpam-3306	63	1	since	since	SCONJ
ejpam-3306	63	2	arb	arb	PROPN
ejpam-3306	63	3	,	,	PUNCT
ejpam-3306	63	4	we	we	PRON
ejpam-3306	63	5	have	have	VERB
ejpam-3306	63	6	a	a	DET
ejpam-3306	63	7	=	=	SYM
ejpam-3306	63	8	b	b	NOUN
ejpam-3306	63	9	or	or	CCONJ
ejpam-3306	63	10	there	there	PRON
ejpam-3306	63	11	exist	exist	VERB
ejpam-3306	63	12	x	x	NOUN
ejpam-3306	63	13	,	,	PUNCT
ejpam-3306	63	14	y	y	PROPN
ejpam-3306	63	15	∈	∈	PROPN
ejpam-3306	63	16	h	h	NOUN
ejpam-3306	63	17	such	such	ADJ
ejpam-3306	63	18	that	that	SCONJ
ejpam-3306	63	19	a	a	DET
ejpam-3306	63	20	∈	∈	PROPN
ejpam-3306	63	21	b	b	NOUN
ejpam-3306	63	22	◦	◦	NOUN
ejpam-3306	63	23	x	x	X
ejpam-3306	63	24	and	and	CCONJ
ejpam-3306	63	25	b	b	X
ejpam-3306	63	26	∈	∈	PROPN
ejpam-3306	63	27	a	a	DET
ejpam-3306	63	28	◦	◦	NOUN
ejpam-3306	63	29	y.	y.	NOUN
ejpam-3306	63	30	if	if	SCONJ
ejpam-3306	63	31	a	a	DET
ejpam-3306	63	32	=	=	SYM
ejpam-3306	63	33	b	b	NOUN
ejpam-3306	63	34	,	,	PUNCT
ejpam-3306	63	35	then	then	ADV
ejpam-3306	63	36	(	(	PUNCT
ejpam-3306	63	37	1	1	X
ejpam-3306	63	38	)	)	PUNCT
ejpam-3306	63	39	holds	hold	VERB
ejpam-3306	63	40	.	.	PUNCT
ejpam-3306	64	1	suppose	suppose	VERB
ejpam-3306	64	2	a	a	DET
ejpam-3306	64	3	6=	6=	PROPN
ejpam-3306	64	4	b	b	NOUN
ejpam-3306	64	5	and	and	CCONJ
ejpam-3306	64	6	a	a	DET
ejpam-3306	64	7	∈	∈	PROPN
ejpam-3306	64	8	b	b	PROPN
ejpam-3306	64	9	◦	◦	NOUN
ejpam-3306	64	10	x	x	NOUN
ejpam-3306	64	11	,	,	PUNCT
ejpam-3306	64	12	b	b	X
ejpam-3306	64	13	∈	∈	PROPN
ejpam-3306	64	14	a	a	DET
ejpam-3306	64	15	◦	◦	NOUN
ejpam-3306	64	16	y	y	NOUN
ejpam-3306	64	17	for	for	ADP
ejpam-3306	64	18	some	some	DET
ejpam-3306	64	19	x	x	NOUN
ejpam-3306	64	20	,	,	PUNCT
ejpam-3306	64	21	y	y	PROPN
ejpam-3306	64	22	∈	∈	PROPN
ejpam-3306	64	23	h.	h.	PROPN
ejpam-3306	64	24	since	since	SCONJ
ejpam-3306	64	25	u	u	PROPN
ejpam-3306	64	26	∈	∈	PROPN
ejpam-3306	64	27	(	(	PUNCT
ejpam-3306	64	28	a	a	DET
ejpam-3306	64	29	∗h	∗h	NOUN
ejpam-3306	64	30	)	)	PUNCT
ejpam-3306	64	31	∪	∪	NOUN
ejpam-3306	64	32	{	{	PUNCT
ejpam-3306	64	33	a	a	X
ejpam-3306	64	34	}	}	PUNCT
ejpam-3306	64	35	,	,	PUNCT
ejpam-3306	64	36	we	we	PRON
ejpam-3306	64	37	have	have	VERB
ejpam-3306	64	38	u	u	NOUN
ejpam-3306	64	39	∈	∈	PROPN
ejpam-3306	64	40	a	a	DET
ejpam-3306	64	41	◦	◦	NOUN
ejpam-3306	64	42	t	t	NOUN
ejpam-3306	64	43	for	for	ADP
ejpam-3306	64	44	some	some	DET
ejpam-3306	64	45	t	t	NOUN
ejpam-3306	64	46	∈	∈	PROPN
ejpam-3306	64	47	h	h	NOUN
ejpam-3306	64	48	or	or	CCONJ
ejpam-3306	64	49	u	u	NOUN
ejpam-3306	65	1	=	=	NOUN
ejpam-3306	65	2	a.	a.	NOUN
ejpam-3306	65	3	we	we	PRON
ejpam-3306	65	4	consider	consider	VERB
ejpam-3306	65	5	the	the	DET
ejpam-3306	65	6	cases	case	NOUN
ejpam-3306	65	7	:	:	PUNCT
ejpam-3306	65	8	(	(	PUNCT
ejpam-3306	65	9	a	a	X
ejpam-3306	65	10	)	)	PUNCT
ejpam-3306	65	11	a	a	DET
ejpam-3306	65	12	∈	∈	PROPN
ejpam-3306	65	13	b	b	NOUN
ejpam-3306	65	14	◦	◦	NOUN
ejpam-3306	65	15	x	x	NOUN
ejpam-3306	65	16	,	,	PUNCT
ejpam-3306	65	17	b	b	X
ejpam-3306	65	18	∈	∈	PROPN
ejpam-3306	65	19	a	a	DET
ejpam-3306	65	20	◦	◦	NOUN
ejpam-3306	65	21	y	y	PROPN
ejpam-3306	65	22	and	and	CCONJ
ejpam-3306	65	23	u	u	PROPN
ejpam-3306	65	24	∈	∈	PROPN
ejpam-3306	65	25	a	a	DET
ejpam-3306	65	26	◦	◦	NOUN
ejpam-3306	65	27	t.	t.	NOUN
ejpam-3306	65	28	then	then	ADV
ejpam-3306	65	29	we	we	PRON
ejpam-3306	65	30	have	have	VERB
ejpam-3306	65	31	u	u	NOUN
ejpam-3306	65	32	∈	∈	PROPN
ejpam-3306	65	33	a	a	DET
ejpam-3306	65	34	◦	◦	NOUN
ejpam-3306	65	35	t	t	NOUN
ejpam-3306	65	36	⊆	⊆	NUM
ejpam-3306	65	37	(	(	PUNCT
ejpam-3306	65	38	b	b	X
ejpam-3306	65	39	◦	◦	NOUN
ejpam-3306	65	40	x	x	NOUN
ejpam-3306	65	41	)	)	PUNCT
ejpam-3306	65	42	∗	∗	NOUN
ejpam-3306	65	43	{	{	PUNCT
ejpam-3306	65	44	t	t	PROPN
ejpam-3306	65	45	}	}	PUNCT
ejpam-3306	65	46	=	=	PUNCT
ejpam-3306	65	47	{	{	PUNCT
ejpam-3306	65	48	b	b	NOUN
ejpam-3306	65	49	}	}	PUNCT
ejpam-3306	65	50	∗	∗	NOUN
ejpam-3306	65	51	(	(	PUNCT
ejpam-3306	65	52	x	x	SYM
ejpam-3306	65	53	◦	◦	NOUN
ejpam-3306	65	54	t	t	PROPN
ejpam-3306	65	55	)	)	PUNCT
ejpam-3306	65	56	(	(	PUNCT
ejpam-3306	65	57	since	since	SCONJ
ejpam-3306	65	58	h	h	NOUN
ejpam-3306	65	59	is	be	AUX
ejpam-3306	65	60	an	an	DET
ejpam-3306	65	61	hypersemigroup	hypersemigroup	NOUN
ejpam-3306	65	62	)	)	PUNCT
ejpam-3306	65	63	.	.	PUNCT
ejpam-3306	66	1	since	since	SCONJ
ejpam-3306	66	2	x	x	X
ejpam-3306	66	3	,	,	PUNCT
ejpam-3306	66	4	t	t	PROPN
ejpam-3306	66	5	∈	∈	PROPN
ejpam-3306	66	6	h	h	NOUN
ejpam-3306	66	7	,	,	PUNCT
ejpam-3306	66	8	we	we	PRON
ejpam-3306	66	9	have	have	VERB
ejpam-3306	66	10	x	x	PART
ejpam-3306	66	11	◦	◦	VERB
ejpam-3306	66	12	t	t	PROPN
ejpam-3306	66	13	⊆	⊆	NUM
ejpam-3306	66	14	h	h	NOUN
ejpam-3306	66	15	,	,	PUNCT
ejpam-3306	66	16	and	and	CCONJ
ejpam-3306	66	17	then	then	ADV
ejpam-3306	66	18	u	u	PROPN
ejpam-3306	66	19	∈	∈	PROPN
ejpam-3306	66	20	{	{	PUNCT
ejpam-3306	66	21	b	b	NOUN
ejpam-3306	66	22	}	}	PUNCT
ejpam-3306	66	23	∗h	∗h	NOUN
ejpam-3306	66	24	⊆	⊆	NUM
ejpam-3306	66	25	(	(	PUNCT
ejpam-3306	66	26	b	b	NOUN
ejpam-3306	66	27	∗h	∗h	NOUN
ejpam-3306	66	28	)	)	PUNCT
ejpam-3306	66	29	∪	∪	NOUN
ejpam-3306	66	30	{	{	PUNCT
ejpam-3306	66	31	b	b	NOUN
ejpam-3306	66	32	}	}	PUNCT
ejpam-3306	66	33	.	.	PUNCT
ejpam-3306	67	1	(	(	PUNCT
ejpam-3306	67	2	b	b	X
ejpam-3306	67	3	)	)	PUNCT
ejpam-3306	67	4	a	a	DET
ejpam-3306	67	5	∈	∈	PROPN
ejpam-3306	67	6	b	b	NOUN
ejpam-3306	67	7	◦	◦	NOUN
ejpam-3306	67	8	x	x	NOUN
ejpam-3306	67	9	,	,	PUNCT
ejpam-3306	67	10	b	b	X
ejpam-3306	67	11	∈	∈	PROPN
ejpam-3306	67	12	a	a	DET
ejpam-3306	67	13	◦	◦	NOUN
ejpam-3306	67	14	y	y	NOUN
ejpam-3306	67	15	and	and	CCONJ
ejpam-3306	67	16	u	u	NOUN
ejpam-3306	67	17	=	=	NOUN
ejpam-3306	67	18	a.	a.	NOUN
ejpam-3306	68	1	then	then	ADV
ejpam-3306	68	2	we	we	PRON
ejpam-3306	68	3	have	have	VERB
ejpam-3306	68	4	u	u	NOUN
ejpam-3306	68	5	=	=	NOUN
ejpam-3306	68	6	a	a	DET
ejpam-3306	68	7	∈	∈	PROPN
ejpam-3306	68	8	b	b	NOUN
ejpam-3306	68	9	◦	◦	NOUN
ejpam-3306	68	10	x	x	SYM
ejpam-3306	68	11	⊆	⊆	NUM
ejpam-3306	68	12	{	{	PUNCT
ejpam-3306	68	13	b	b	NOUN
ejpam-3306	68	14	}	}	PUNCT
ejpam-3306	68	15	∗h	∗h	NOUN
ejpam-3306	68	16	⊆	⊆	NUM
ejpam-3306	68	17	(	(	PUNCT
ejpam-3306	68	18	b	b	NOUN
ejpam-3306	68	19	∗h	∗h	NOUN
ejpam-3306	68	20	)	)	PUNCT
ejpam-3306	68	21	∪	∪	NOUN
ejpam-3306	68	22	{	{	PUNCT
ejpam-3306	68	23	b	b	NOUN
ejpam-3306	68	24	}	}	PUNCT
ejpam-3306	68	25	.	.	PUNCT
ejpam-3306	69	1	thus	thus	ADV
ejpam-3306	69	2	we	we	PRON
ejpam-3306	69	3	have	have	VERB
ejpam-3306	69	4	(	(	PUNCT
ejpam-3306	69	5	a∗h)∪{a	a∗h)∪{a	ADJ
ejpam-3306	69	6	}	}	PUNCT
ejpam-3306	69	7	⊆	⊆	NUM
ejpam-3306	69	8	(	(	PUNCT
ejpam-3306	69	9	b∗h)∪{b	b∗h)∪{b	NOUN
ejpam-3306	69	10	}	}	PUNCT
ejpam-3306	69	11	.	.	PUNCT
ejpam-3306	70	1	by	by	ADP
ejpam-3306	70	2	symmetry	symmetry	NOUN
ejpam-3306	70	3	,	,	PUNCT
ejpam-3306	70	4	we	we	PRON
ejpam-3306	70	5	get	get	VERB
ejpam-3306	70	6	(	(	PUNCT
ejpam-3306	70	7	b∗h)∪{b	b∗h)∪{b	NOUN
ejpam-3306	70	8	}	}	SYM
ejpam-3306	70	9	⊆	⊆	NUM
ejpam-3306	70	10	(	(	PUNCT
ejpam-3306	70	11	a∗h)∪{a	a∗h)∪{a	NOUN
ejpam-3306	70	12	}	}	PUNCT
ejpam-3306	70	13	,	,	PUNCT
ejpam-3306	70	14	and	and	CCONJ
ejpam-3306	70	15	(	(	PUNCT
ejpam-3306	70	16	1	1	X
ejpam-3306	70	17	)	)	PUNCT
ejpam-3306	70	18	holds	hold	VERB
ejpam-3306	70	19	.	.	PUNCT
ejpam-3306	71	1	the	the	DET
ejpam-3306	71	2	property	property	NOUN
ejpam-3306	71	3	(	(	PUNCT
ejpam-3306	71	4	2	2	X
ejpam-3306	71	5	)	)	PUNCT
ejpam-3306	71	6	can	can	AUX
ejpam-3306	71	7	be	be	AUX
ejpam-3306	71	8	proved	prove	VERB
ejpam-3306	71	9	in	in	ADP
ejpam-3306	71	10	a	a	DET
ejpam-3306	71	11	similar	similar	ADJ
ejpam-3306	71	12	way	way	NOUN
ejpam-3306	71	13	.	.	PUNCT
ejpam-3306	72	1	�	�	NOUN
ejpam-3306	72	2	by	by	ADP
ejpam-3306	72	3	propositions	proposition	NOUN
ejpam-3306	72	4	2.2	2.2	NUM
ejpam-3306	72	5	and	and	CCONJ
ejpam-3306	72	6	2.3	2.3	NUM
ejpam-3306	72	7	we	we	PRON
ejpam-3306	72	8	have	have	VERB
ejpam-3306	72	9	the	the	DET
ejpam-3306	72	10	following	follow	VERB
ejpam-3306	72	11	corollary	corollary	ADJ
ejpam-3306	72	12	corollary	corollary	ADJ
ejpam-3306	72	13	2.4	2.4	NUM
ejpam-3306	72	14	.	.	PUNCT
ejpam-3306	73	1	if	if	SCONJ
ejpam-3306	73	2	h	h	NOUN
ejpam-3306	73	3	is	be	AUX
ejpam-3306	73	4	an	an	DET
ejpam-3306	73	5	hypersemigroup	hypersemigroup	NOUN
ejpam-3306	73	6	and	and	CCONJ
ejpam-3306	73	7	a	a	DET
ejpam-3306	73	8	,	,	PUNCT
ejpam-3306	73	9	b	b	X
ejpam-3306	73	10	∈	∈	PROPN
ejpam-3306	73	11	h	h	NOUN
ejpam-3306	73	12	,	,	PUNCT
ejpam-3306	73	13	then	then	ADV
ejpam-3306	73	14	we	we	PRON
ejpam-3306	73	15	have	have	VERB
ejpam-3306	73	16	arb	arb	NOUN
ejpam-3306	73	17	if	if	SCONJ
ejpam-3306	74	1	and	and	CCONJ
ejpam-3306	74	2	only	only	ADV
ejpam-3306	74	3	if	if	SCONJ
ejpam-3306	74	4	(	(	PUNCT
ejpam-3306	74	5	a	a	DET
ejpam-3306	74	6	∗h	∗h	NOUN
ejpam-3306	74	7	)	)	PUNCT
ejpam-3306	74	8	∪	∪	NOUN
ejpam-3306	74	9	{	{	PUNCT
ejpam-3306	74	10	a	a	NOUN
ejpam-3306	74	11	}	}	PUNCT
ejpam-3306	74	12	=	=	SYM
ejpam-3306	74	13	(	(	PUNCT
ejpam-3306	74	14	b	b	NOUN
ejpam-3306	74	15	∗h	∗h	NOUN
ejpam-3306	74	16	)	)	PUNCT
ejpam-3306	74	17	∪	∪	NOUN
ejpam-3306	74	18	{	{	PUNCT
ejpam-3306	74	19	b	b	NOUN
ejpam-3306	74	20	}	}	PUNCT
ejpam-3306	74	21	and	and	CCONJ
ejpam-3306	74	22	alb	alb	VERB
ejpam-3306	74	23	if	if	SCONJ
ejpam-3306	74	24	and	and	CCONJ
ejpam-3306	74	25	only	only	ADV
ejpam-3306	74	26	if	if	SCONJ
ejpam-3306	74	27	(	(	PUNCT
ejpam-3306	74	28	h	h	NOUN
ejpam-3306	74	29	∗	∗	X
ejpam-3306	74	30	a	a	NOUN
ejpam-3306	74	31	)	)	PUNCT
ejpam-3306	74	32	∪	∪	X
ejpam-3306	74	33	{	{	PUNCT
ejpam-3306	74	34	a	a	NOUN
ejpam-3306	74	35	}	}	PUNCT
ejpam-3306	74	36	=	=	SYM
ejpam-3306	74	37	(	(	PUNCT
ejpam-3306	74	38	h	h	NOUN
ejpam-3306	74	39	∗	∗	NOUN
ejpam-3306	74	40	b	b	NOUN
ejpam-3306	74	41	)	)	PUNCT
ejpam-3306	74	42	∪	∪	NOUN
ejpam-3306	74	43	{	{	PUNCT
ejpam-3306	74	44	b	b	NOUN
ejpam-3306	74	45	}	}	PUNCT
ejpam-3306	74	46	.	.	PUNCT
ejpam-3306	75	1	by	by	ADP
ejpam-3306	75	2	corollary	corollary	ADJ
ejpam-3306	75	3	2.4	2.4	NUM
ejpam-3306	75	4	we	we	PRON
ejpam-3306	75	5	have	have	VERB
ejpam-3306	75	6	the	the	DET
ejpam-3306	75	7	following	follow	VERB
ejpam-3306	75	8	corollary	corollary	ADJ
ejpam-3306	75	9	2.5	2.5	NUM
ejpam-3306	75	10	.	.	PUNCT
ejpam-3306	76	1	if	if	SCONJ
ejpam-3306	76	2	h	h	NOUN
ejpam-3306	76	3	is	be	AUX
ejpam-3306	76	4	an	an	DET
ejpam-3306	76	5	hypersemigroup	hypersemigroup	NOUN
ejpam-3306	76	6	,	,	PUNCT
ejpam-3306	76	7	then	then	ADV
ejpam-3306	76	8	the	the	DET
ejpam-3306	76	9	relations	relation	NOUN
ejpam-3306	76	10	r	r	NOUN
ejpam-3306	76	11	and	and	CCONJ
ejpam-3306	76	12	l	l	NOUN
ejpam-3306	76	13	are	be	AUX
ejpam-3306	76	14	equivalence	equivalence	NOUN
ejpam-3306	76	15	relations	relation	NOUN
ejpam-3306	76	16	on	on	ADP
ejpam-3306	76	17	h.	h.	PROPN
ejpam-3306	76	18	n.	n.	PROPN
ejpam-3306	76	19	kehayopulu	kehayopulu	PROPN
ejpam-3306	76	20	/	/	SYM
ejpam-3306	76	21	eur	eur	PROPN
ejpam-3306	76	22	.	.	PUNCT
ejpam-3306	77	1	j.	j.	PROPN
ejpam-3306	77	2	pure	pure	PROPN
ejpam-3306	77	3	appl	appl	PROPN
ejpam-3306	77	4	.	.	PROPN
ejpam-3306	77	5	math	math	PROPN
ejpam-3306	77	6	,	,	PUNCT
ejpam-3306	77	7	11	11	NUM
ejpam-3306	77	8	(	(	PUNCT
ejpam-3306	77	9	3	3	NUM
ejpam-3306	77	10	)	)	PUNCT
ejpam-3306	77	11	(	(	PUNCT
ejpam-3306	77	12	2018	2018	NUM
ejpam-3306	77	13	)	)	PUNCT
ejpam-3306	77	14	,	,	PUNCT
ejpam-3306	77	15	598	598	NUM
ejpam-3306	77	16	-	-	SYM
ejpam-3306	77	17	611	611	NUM
ejpam-3306	77	18	601	601	NUM
ejpam-3306	77	19	3	3	NUM
ejpam-3306	77	20	.	.	PUNCT
ejpam-3306	77	21	green	green	PROPN
ejpam-3306	77	22	’s	’s	PART
ejpam-3306	77	23	relations	relation	NOUN
ejpam-3306	77	24	for	for	ADP
ejpam-3306	77	25	hypergroupoids	hypergroupoid	NOUN
ejpam-3306	77	26	definition	definition	NOUN
ejpam-3306	77	27	3.1	3.1	NUM
ejpam-3306	77	28	.	.	PUNCT
ejpam-3306	78	1	an	an	DET
ejpam-3306	78	2	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	78	3	h	h	NOUN
ejpam-3306	78	4	is	be	AUX
ejpam-3306	78	5	said	say	VERB
ejpam-3306	78	6	to	to	PART
ejpam-3306	78	7	be	be	AUX
ejpam-3306	78	8	right	right	ADV
ejpam-3306	78	9	consistent	consistent	ADJ
ejpam-3306	78	10	if	if	SCONJ
ejpam-3306	78	11	,	,	PUNCT
ejpam-3306	78	12	for	for	ADP
ejpam-3306	78	13	every	every	DET
ejpam-3306	78	14	x	x	NOUN
ejpam-3306	78	15	,	,	PUNCT
ejpam-3306	78	16	y	y	PROPN
ejpam-3306	78	17	∈	∈	PROPN
ejpam-3306	78	18	h	h	NOUN
ejpam-3306	78	19	,	,	PUNCT
ejpam-3306	78	20	we	we	PRON
ejpam-3306	78	21	have	have	VERB
ejpam-3306	78	22	(	(	PUNCT
ejpam-3306	78	23	x	x	SYM
ejpam-3306	78	24	◦	◦	VERB
ejpam-3306	78	25	y	y	NOUN
ejpam-3306	78	26	)	)	PUNCT
ejpam-3306	78	27	∗h	∗h	NOUN
ejpam-3306	78	28	=	=	SYM
ejpam-3306	78	29	{	{	PUNCT
ejpam-3306	78	30	x	x	NOUN
ejpam-3306	78	31	}	}	PUNCT
ejpam-3306	78	32	∗	∗	NOUN
ejpam-3306	78	33	(	(	PUNCT
ejpam-3306	78	34	{	{	PUNCT
ejpam-3306	78	35	y	y	NOUN
ejpam-3306	78	36	}	}	PUNCT
ejpam-3306	78	37	∗h	∗h	NOUN
ejpam-3306	78	38	)	)	PUNCT
ejpam-3306	78	39	.	.	PUNCT
ejpam-3306	79	1	it	it	PRON
ejpam-3306	79	2	is	be	AUX
ejpam-3306	79	3	called	call	VERB
ejpam-3306	79	4	left	leave	VERB
ejpam-3306	79	5	consistent	consistent	ADJ
ejpam-3306	79	6	if	if	SCONJ
ejpam-3306	79	7	,	,	PUNCT
ejpam-3306	79	8	for	for	ADP
ejpam-3306	79	9	every	every	DET
ejpam-3306	79	10	x	x	NOUN
ejpam-3306	79	11	,	,	PUNCT
ejpam-3306	79	12	y	y	PROPN
ejpam-3306	79	13	∈	∈	PROPN
ejpam-3306	79	14	h	h	NOUN
ejpam-3306	79	15	,	,	PUNCT
ejpam-3306	79	16	we	we	PRON
ejpam-3306	79	17	have	have	VERB
ejpam-3306	79	18	h	h	NOUN
ejpam-3306	79	19	∗	∗	NOUN
ejpam-3306	79	20	(	(	PUNCT
ejpam-3306	79	21	x	x	SYM
ejpam-3306	79	22	◦	◦	VERB
ejpam-3306	79	23	y	y	NOUN
ejpam-3306	79	24	)	)	PUNCT
ejpam-3306	79	25	=	=	PRON
ejpam-3306	80	1	(	(	PUNCT
ejpam-3306	80	2	h	h	NOUN
ejpam-3306	80	3	∗	∗	X
ejpam-3306	80	4	{	{	PUNCT
ejpam-3306	80	5	x	x	NOUN
ejpam-3306	80	6	}	}	PUNCT
ejpam-3306	80	7	)	)	PUNCT
ejpam-3306	80	8	∗	∗	NOUN
ejpam-3306	80	9	{	{	PUNCT
ejpam-3306	80	10	y	y	NOUN
ejpam-3306	80	11	}	}	PUNCT
ejpam-3306	80	12	.	.	PUNCT
ejpam-3306	81	1	an	an	DET
ejpam-3306	81	2	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	81	3	h	h	NOUN
ejpam-3306	81	4	is	be	AUX
ejpam-3306	81	5	said	say	VERB
ejpam-3306	81	6	to	to	PART
ejpam-3306	81	7	be	be	AUX
ejpam-3306	81	8	intra	intra	ADJ
ejpam-3306	81	9	-	-	ADJ
ejpam-3306	81	10	consistent	consistent	ADJ
ejpam-3306	81	11	if	if	SCONJ
ejpam-3306	81	12	,	,	PUNCT
ejpam-3306	81	13	for	for	ADP
ejpam-3306	81	14	any	any	DET
ejpam-3306	81	15	x	x	NOUN
ejpam-3306	81	16	,	,	PUNCT
ejpam-3306	81	17	y	y	PROPN
ejpam-3306	81	18	∈	∈	PROPN
ejpam-3306	81	19	h	h	NOUN
ejpam-3306	81	20	,	,	PUNCT
ejpam-3306	81	21	we	we	PRON
ejpam-3306	81	22	have	have	VERB
ejpam-3306	81	23	(	(	PUNCT
ejpam-3306	81	24	{	{	PUNCT
ejpam-3306	81	25	x	x	NOUN
ejpam-3306	81	26	}	}	PUNCT
ejpam-3306	81	27	∗h	∗h	NOUN
ejpam-3306	81	28	)	)	PUNCT
ejpam-3306	81	29	∗	∗	NOUN
ejpam-3306	81	30	{	{	PUNCT
ejpam-3306	81	31	y	y	NOUN
ejpam-3306	81	32	}	}	PUNCT
ejpam-3306	81	33	=	=	SYM
ejpam-3306	81	34	{	{	PUNCT
ejpam-3306	81	35	x	x	NOUN
ejpam-3306	81	36	}	}	PUNCT
ejpam-3306	81	37	∗	∗	NOUN
ejpam-3306	81	38	(	(	PUNCT
ejpam-3306	81	39	h	h	NOUN
ejpam-3306	81	40	∗	∗	X
ejpam-3306	81	41	{	{	PUNCT
ejpam-3306	81	42	y	y	NOUN
ejpam-3306	81	43	}	}	PUNCT
ejpam-3306	81	44	)	)	PUNCT
ejpam-3306	81	45	.	.	PUNCT
ejpam-3306	82	1	if	if	SCONJ
ejpam-3306	82	2	h	h	NOUN
ejpam-3306	82	3	is	be	AUX
ejpam-3306	82	4	both	both	PRON
ejpam-3306	82	5	left	leave	VERB
ejpam-3306	82	6	and	and	CCONJ
ejpam-3306	82	7	right	right	ADV
ejpam-3306	82	8	consistent	consistent	ADJ
ejpam-3306	82	9	,	,	PUNCT
ejpam-3306	82	10	then	then	ADV
ejpam-3306	82	11	it	it	PRON
ejpam-3306	82	12	is	be	AUX
ejpam-3306	82	13	called	call	VERB
ejpam-3306	82	14	consistent	consistent	ADJ
ejpam-3306	82	15	.	.	PUNCT
ejpam-3306	82	16	example	example	NOUN
ejpam-3306	83	1	3.2	3.2	NUM
ejpam-3306	83	2	.	.	PUNCT
ejpam-3306	84	1	we	we	PRON
ejpam-3306	84	2	consider	consider	VERB
ejpam-3306	84	3	the	the	DET
ejpam-3306	84	4	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	84	5	h	h	NOUN
ejpam-3306	84	6	=	=	PRON
ejpam-3306	84	7	{	{	PUNCT
ejpam-3306	84	8	a	a	DET
ejpam-3306	84	9	,	,	PUNCT
ejpam-3306	84	10	b	b	NOUN
ejpam-3306	84	11	}	}	PUNCT
ejpam-3306	84	12	with	with	ADP
ejpam-3306	84	13	the	the	DET
ejpam-3306	84	14	hyperoperation	hyperoperation	NOUN
ejpam-3306	84	15	“	"	PUNCT
ejpam-3306	84	16	◦	◦	NOUN
ejpam-3306	84	17	”	"	PUNCT
ejpam-3306	84	18	on	on	ADP
ejpam-3306	84	19	g	g	NOUN
ejpam-3306	84	20	given	give	VERB
ejpam-3306	84	21	by	by	ADP
ejpam-3306	84	22	the	the	DET
ejpam-3306	84	23	following	follow	VERB
ejpam-3306	84	24	table	table	NOUN
ejpam-3306	84	25	◦	◦	VERB
ejpam-3306	84	26	a	a	DET
ejpam-3306	84	27	b	b	NOUN
ejpam-3306	84	28	a	a	DET
ejpam-3306	84	29	{	{	PUNCT
ejpam-3306	84	30	a	a	NOUN
ejpam-3306	84	31	}	}	PUNCT
ejpam-3306	84	32	{	{	PUNCT
ejpam-3306	84	33	a	a	PRON
ejpam-3306	84	34	,	,	PUNCT
ejpam-3306	84	35	b	b	NOUN
ejpam-3306	84	36	}	}	PUNCT
ejpam-3306	84	37	b	b	PROPN
ejpam-3306	84	38	{	{	PUNCT
ejpam-3306	84	39	a	a	NOUN
ejpam-3306	84	40	}	}	PUNCT
ejpam-3306	84	41	{	{	PUNCT
ejpam-3306	84	42	b	b	NOUN
ejpam-3306	84	43	}	}	PUNCT
ejpam-3306	84	44	table	table	NOUN
ejpam-3306	84	45	1	1	NUM
ejpam-3306	84	46	.	.	PUNCT
ejpam-3306	85	1	this	this	PRON
ejpam-3306	85	2	is	be	AUX
ejpam-3306	85	3	a	a	DET
ejpam-3306	85	4	right	right	ADV
ejpam-3306	85	5	consistent	consistent	ADJ
ejpam-3306	85	6	,	,	PUNCT
ejpam-3306	85	7	left	leave	VERB
ejpam-3306	85	8	consistent	consistent	ADJ
ejpam-3306	85	9	and	and	CCONJ
ejpam-3306	85	10	intra	intra	ADJ
ejpam-3306	85	11	-	-	ADJ
ejpam-3306	85	12	consistent	consistent	ADJ
ejpam-3306	85	13	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	85	14	.	.	PUNCT
ejpam-3306	86	1	example	example	NOUN
ejpam-3306	86	2	3.3	3.3	NUM
ejpam-3306	86	3	.	.	PUNCT
ejpam-3306	87	1	we	we	PRON
ejpam-3306	87	2	consider	consider	VERB
ejpam-3306	87	3	the	the	DET
ejpam-3306	87	4	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	87	5	h	h	NOUN
ejpam-3306	87	6	=	=	PRON
ejpam-3306	87	7	{	{	PUNCT
ejpam-3306	87	8	a	a	PRON
ejpam-3306	87	9	,	,	PUNCT
ejpam-3306	87	10	b	b	NOUN
ejpam-3306	87	11	,	,	PUNCT
ejpam-3306	87	12	c	c	NOUN
ejpam-3306	87	13	}	}	PUNCT
ejpam-3306	87	14	with	with	ADP
ejpam-3306	87	15	the	the	DET
ejpam-3306	87	16	hyperoperation	hyperoperation	NOUN
ejpam-3306	87	17	defined	define	VERB
ejpam-3306	87	18	in	in	ADP
ejpam-3306	87	19	the	the	DET
ejpam-3306	87	20	following	follow	VERB
ejpam-3306	87	21	table	table	NOUN
ejpam-3306	87	22	◦	◦	VERB
ejpam-3306	87	23	a	a	DET
ejpam-3306	87	24	b	b	NOUN
ejpam-3306	87	25	c	c	X
ejpam-3306	87	26	a	a	DET
ejpam-3306	87	27	{	{	PUNCT
ejpam-3306	87	28	a	a	NOUN
ejpam-3306	87	29	}	}	PUNCT
ejpam-3306	87	30	{	{	PUNCT
ejpam-3306	87	31	a	a	NOUN
ejpam-3306	87	32	}	}	PUNCT
ejpam-3306	87	33	{	{	PUNCT
ejpam-3306	87	34	c	c	NOUN
ejpam-3306	87	35	}	}	PUNCT
ejpam-3306	87	36	b	b	PROPN
ejpam-3306	87	37	{	{	PUNCT
ejpam-3306	87	38	c	c	NOUN
ejpam-3306	87	39	}	}	PUNCT
ejpam-3306	87	40	{	{	PUNCT
ejpam-3306	87	41	b	b	NOUN
ejpam-3306	87	42	}	}	PUNCT
ejpam-3306	87	43	{	{	PUNCT
ejpam-3306	87	44	a	a	PRON
ejpam-3306	87	45	}	}	PUNCT
ejpam-3306	87	46	c	c	NOUN
ejpam-3306	87	47	{	{	PUNCT
ejpam-3306	87	48	c	c	NOUN
ejpam-3306	87	49	}	}	PUNCT
ejpam-3306	87	50	{	{	PUNCT
ejpam-3306	87	51	b	b	NOUN
ejpam-3306	87	52	}	}	PUNCT
ejpam-3306	87	53	{	{	PUNCT
ejpam-3306	87	54	c	c	NOUN
ejpam-3306	87	55	}	}	PUNCT
ejpam-3306	87	56	table	table	NOUN
ejpam-3306	87	57	2	2	NUM
ejpam-3306	87	58	.	.	PUNCT
ejpam-3306	88	1	this	this	PRON
ejpam-3306	88	2	is	be	AUX
ejpam-3306	88	3	not	not	PART
ejpam-3306	88	4	right	right	ADV
ejpam-3306	88	5	consistent	consistent	ADJ
ejpam-3306	88	6	because	because	SCONJ
ejpam-3306	88	7	(	(	PUNCT
ejpam-3306	88	8	c	c	NOUN
ejpam-3306	88	9	◦	◦	NOUN
ejpam-3306	88	10	b	b	NOUN
ejpam-3306	88	11	)	)	PUNCT
ejpam-3306	88	12	∗h	∗h	NOUN
ejpam-3306	88	13	=	=	SYM
ejpam-3306	88	14	h	h	NOUN
ejpam-3306	88	15	and	and	CCONJ
ejpam-3306	88	16	{	{	PUNCT
ejpam-3306	88	17	c	c	NOUN
ejpam-3306	88	18	}	}	PUNCT
ejpam-3306	88	19	∗	∗	NOUN
ejpam-3306	88	20	(	(	PUNCT
ejpam-3306	88	21	{	{	PUNCT
ejpam-3306	88	22	b	b	NOUN
ejpam-3306	88	23	}	}	PUNCT
ejpam-3306	88	24	∗h	∗h	NOUN
ejpam-3306	88	25	)	)	PUNCT
ejpam-3306	88	26	=	=	SYM
ejpam-3306	88	27	{	{	PUNCT
ejpam-3306	88	28	b	b	NOUN
ejpam-3306	88	29	,	,	PUNCT
ejpam-3306	88	30	c	c	NOUN
ejpam-3306	88	31	}	}	PUNCT
ejpam-3306	88	32	,	,	PUNCT
ejpam-3306	88	33	not	not	PART
ejpam-3306	88	34	left	leave	VERB
ejpam-3306	88	35	consistent	consistent	ADJ
ejpam-3306	88	36	since	since	SCONJ
ejpam-3306	88	37	h	h	NOUN
ejpam-3306	88	38	∗	∗	NOUN
ejpam-3306	88	39	(	(	PUNCT
ejpam-3306	88	40	a	a	DET
ejpam-3306	88	41	◦	◦	NOUN
ejpam-3306	88	42	b	b	NOUN
ejpam-3306	88	43	)	)	PUNCT
ejpam-3306	88	44	=	=	PRON
ejpam-3306	88	45	{	{	PUNCT
ejpam-3306	88	46	a	a	X
ejpam-3306	88	47	,	,	PUNCT
ejpam-3306	88	48	c	c	NOUN
ejpam-3306	88	49	}	}	PUNCT
ejpam-3306	88	50	and	and	CCONJ
ejpam-3306	88	51	(	(	PUNCT
ejpam-3306	88	52	h	h	NOUN
ejpam-3306	88	53	∗	∗	NOUN
ejpam-3306	88	54	{	{	PUNCT
ejpam-3306	88	55	a	a	NOUN
ejpam-3306	88	56	}	}	PUNCT
ejpam-3306	88	57	)	)	PUNCT
ejpam-3306	88	58	∗	∗	NOUN
ejpam-3306	88	59	{	{	PUNCT
ejpam-3306	88	60	b	b	NOUN
ejpam-3306	88	61	}	}	PUNCT
ejpam-3306	88	62	=	=	SYM
ejpam-3306	88	63	{	{	PUNCT
ejpam-3306	88	64	a	a	DET
ejpam-3306	88	65	,	,	PUNCT
ejpam-3306	88	66	b	b	NOUN
ejpam-3306	88	67	}	}	PUNCT
ejpam-3306	88	68	and	and	CCONJ
ejpam-3306	88	69	not	not	PART
ejpam-3306	88	70	intra	intra	ADJ
ejpam-3306	88	71	-	-	ADJ
ejpam-3306	88	72	consistent	consistent	ADJ
ejpam-3306	88	73	as	as	ADP
ejpam-3306	88	74	(	(	PUNCT
ejpam-3306	88	75	{	{	PUNCT
ejpam-3306	88	76	a	a	DET
ejpam-3306	88	77	}	}	PUNCT
ejpam-3306	88	78	∗h	∗h	NOUN
ejpam-3306	88	79	)	)	PUNCT
ejpam-3306	88	80	∗	∗	NOUN
ejpam-3306	88	81	{	{	PUNCT
ejpam-3306	88	82	b	b	NOUN
ejpam-3306	88	83	}	}	PUNCT
ejpam-3306	88	84	=	=	SYM
ejpam-3306	88	85	{	{	PUNCT
ejpam-3306	88	86	a	a	DET
ejpam-3306	88	87	,	,	PUNCT
ejpam-3306	88	88	b	b	NOUN
ejpam-3306	88	89	}	}	PUNCT
ejpam-3306	88	90	and	and	CCONJ
ejpam-3306	88	91	{	{	PUNCT
ejpam-3306	88	92	a	a	DET
ejpam-3306	88	93	}	}	PUNCT
ejpam-3306	88	94	∗	∗	NOUN
ejpam-3306	88	95	(	(	PUNCT
ejpam-3306	88	96	h	h	NOUN
ejpam-3306	88	97	∗	∗	NOUN
ejpam-3306	88	98	{	{	PUNCT
ejpam-3306	88	99	b	b	NOUN
ejpam-3306	88	100	}	}	PUNCT
ejpam-3306	88	101	)	)	PUNCT
ejpam-3306	88	102	=	=	PRON
ejpam-3306	88	103	{	{	PUNCT
ejpam-3306	88	104	a	a	X
ejpam-3306	88	105	}	}	PUNCT
ejpam-3306	88	106	.	.	PUNCT
ejpam-3306	89	1	example	example	NOUN
ejpam-3306	89	2	3.4	3.4	NUM
ejpam-3306	89	3	.	.	PUNCT
ejpam-3306	90	1	the	the	DET
ejpam-3306	90	2	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	90	3	defined	define	VERB
ejpam-3306	90	4	by	by	ADP
ejpam-3306	90	5	table	table	NOUN
ejpam-3306	90	6	3	3	NUM
ejpam-3306	90	7	is	be	AUX
ejpam-3306	90	8	right	right	ADV
ejpam-3306	90	9	consistent	consistent	ADJ
ejpam-3306	90	10	,	,	PUNCT
ejpam-3306	90	11	left	leave	VERB
ejpam-3306	90	12	consistent	consistent	ADJ
ejpam-3306	90	13	and	and	CCONJ
ejpam-3306	90	14	intra	intra	ADJ
ejpam-3306	90	15	-	-	ADJ
ejpam-3306	90	16	consistent	consistent	ADJ
ejpam-3306	90	17	.	.	PUNCT
ejpam-3306	91	1	◦	◦	VERB
ejpam-3306	91	2	a	a	DET
ejpam-3306	91	3	b	b	NOUN
ejpam-3306	91	4	c	c	NOUN
ejpam-3306	91	5	d	d	X
ejpam-3306	91	6	a	a	X
ejpam-3306	91	7	{	{	PUNCT
ejpam-3306	91	8	a	a	NOUN
ejpam-3306	91	9	}	}	PUNCT
ejpam-3306	91	10	{	{	PUNCT
ejpam-3306	91	11	a	a	DET
ejpam-3306	91	12	,	,	PUNCT
ejpam-3306	91	13	b	b	NOUN
ejpam-3306	91	14	}	}	PUNCT
ejpam-3306	91	15	{	{	PUNCT
ejpam-3306	91	16	a	a	PROPN
ejpam-3306	91	17	,	,	PUNCT
ejpam-3306	91	18	c	c	NOUN
ejpam-3306	91	19	}	}	PUNCT
ejpam-3306	91	20	{	{	PUNCT
ejpam-3306	91	21	a	a	PRON
ejpam-3306	91	22	,	,	PUNCT
ejpam-3306	91	23	d	d	NOUN
ejpam-3306	91	24	}	}	PUNCT
ejpam-3306	91	25	b	b	PROPN
ejpam-3306	91	26	{	{	PUNCT
ejpam-3306	91	27	a	a	PROPN
ejpam-3306	91	28	,	,	PUNCT
ejpam-3306	91	29	b	b	NOUN
ejpam-3306	91	30	}	}	PUNCT
ejpam-3306	91	31	{	{	PUNCT
ejpam-3306	91	32	a	a	DET
ejpam-3306	91	33	,	,	PUNCT
ejpam-3306	91	34	b	b	NOUN
ejpam-3306	91	35	}	}	PUNCT
ejpam-3306	91	36	{	{	PUNCT
ejpam-3306	91	37	a	a	DET
ejpam-3306	91	38	,	,	PUNCT
ejpam-3306	91	39	b	b	NOUN
ejpam-3306	91	40	,	,	PUNCT
ejpam-3306	91	41	c	c	NOUN
ejpam-3306	91	42	}	}	PUNCT
ejpam-3306	91	43	{	{	PUNCT
ejpam-3306	91	44	a	a	DET
ejpam-3306	91	45	,	,	PUNCT
ejpam-3306	91	46	b	b	NOUN
ejpam-3306	91	47	,	,	PUNCT
ejpam-3306	91	48	d	d	NOUN
ejpam-3306	91	49	}	}	PUNCT
ejpam-3306	91	50	c	c	NOUN
ejpam-3306	91	51	{	{	PUNCT
ejpam-3306	91	52	a	a	NOUN
ejpam-3306	91	53	,	,	PUNCT
ejpam-3306	91	54	c	c	NOUN
ejpam-3306	91	55	}	}	PUNCT
ejpam-3306	91	56	{	{	PUNCT
ejpam-3306	91	57	a	a	DET
ejpam-3306	91	58	,	,	PUNCT
ejpam-3306	91	59	b	b	NOUN
ejpam-3306	91	60	,	,	PUNCT
ejpam-3306	91	61	c	c	NOUN
ejpam-3306	91	62	}	}	PUNCT
ejpam-3306	91	63	{	{	PUNCT
ejpam-3306	91	64	a	a	PROPN
ejpam-3306	91	65	,	,	PUNCT
ejpam-3306	91	66	c	c	NOUN
ejpam-3306	91	67	}	}	PUNCT
ejpam-3306	91	68	{	{	PUNCT
ejpam-3306	91	69	b	b	PROPN
ejpam-3306	91	70	,	,	PUNCT
ejpam-3306	91	71	c	c	NOUN
ejpam-3306	91	72	,	,	PUNCT
ejpam-3306	91	73	d	d	NOUN
ejpam-3306	91	74	}	}	PUNCT
ejpam-3306	91	75	d	d	NOUN
ejpam-3306	91	76	{	{	PUNCT
ejpam-3306	91	77	a	a	PRON
ejpam-3306	91	78	,	,	PUNCT
ejpam-3306	91	79	d	d	NOUN
ejpam-3306	91	80	}	}	PUNCT
ejpam-3306	91	81	{	{	PUNCT
ejpam-3306	91	82	a	a	PRON
ejpam-3306	91	83	,	,	PUNCT
ejpam-3306	91	84	b	b	NOUN
ejpam-3306	91	85	,	,	PUNCT
ejpam-3306	91	86	d	d	NOUN
ejpam-3306	91	87	}	}	PUNCT
ejpam-3306	91	88	{	{	PUNCT
ejpam-3306	91	89	b	b	PROPN
ejpam-3306	91	90	,	,	PUNCT
ejpam-3306	91	91	c	c	NOUN
ejpam-3306	91	92	,	,	PUNCT
ejpam-3306	91	93	d	d	NOUN
ejpam-3306	91	94	}	}	PUNCT
ejpam-3306	91	95	{	{	PUNCT
ejpam-3306	91	96	c	c	NOUN
ejpam-3306	91	97	,	,	PUNCT
ejpam-3306	91	98	d	d	NOUN
ejpam-3306	91	99	}	}	PUNCT
ejpam-3306	91	100	table	table	NOUN
ejpam-3306	91	101	3	3	NUM
ejpam-3306	91	102	.	.	PUNCT
ejpam-3306	92	1	n.	n.	PROPN
ejpam-3306	92	2	kehayopulu	kehayopulu	PROPN
ejpam-3306	92	3	/	/	SYM
ejpam-3306	92	4	eur	eur	PROPN
ejpam-3306	92	5	.	.	PUNCT
ejpam-3306	93	1	j.	j.	PROPN
ejpam-3306	93	2	pure	pure	PROPN
ejpam-3306	93	3	appl	appl	PROPN
ejpam-3306	93	4	.	.	PROPN
ejpam-3306	93	5	math	math	PROPN
ejpam-3306	93	6	,	,	PUNCT
ejpam-3306	93	7	11	11	NUM
ejpam-3306	93	8	(	(	PUNCT
ejpam-3306	93	9	3	3	NUM
ejpam-3306	93	10	)	)	PUNCT
ejpam-3306	93	11	(	(	PUNCT
ejpam-3306	93	12	2018	2018	NUM
ejpam-3306	93	13	)	)	PUNCT
ejpam-3306	93	14	,	,	PUNCT
ejpam-3306	93	15	598	598	NUM
ejpam-3306	93	16	-	-	SYM
ejpam-3306	93	17	611	611	NUM
ejpam-3306	93	18	602	602	NUM
ejpam-3306	93	19	proposition	proposition	NOUN
ejpam-3306	93	20	3.5	3.5	NUM
ejpam-3306	93	21	.	.	PUNCT
ejpam-3306	94	1	every	every	DET
ejpam-3306	94	2	hypersemigroup	hypersemigroup	NOUN
ejpam-3306	94	3	(	(	PUNCT
ejpam-3306	94	4	h	h	NOUN
ejpam-3306	94	5	,	,	PUNCT
ejpam-3306	94	6	◦	◦	NOUN
ejpam-3306	94	7	)	)	PUNCT
ejpam-3306	94	8	is	be	AUX
ejpam-3306	94	9	a	a	DET
ejpam-3306	94	10	right	right	ADV
ejpam-3306	94	11	consistent	consistent	ADJ
ejpam-3306	94	12	,	,	PUNCT
ejpam-3306	94	13	left	leave	VERB
ejpam-3306	94	14	consistent	consistent	ADJ
ejpam-3306	94	15	and	and	CCONJ
ejpam-3306	94	16	intra	intra	ADJ
ejpam-3306	94	17	-	-	ADJ
ejpam-3306	94	18	consistent	consistent	ADJ
ejpam-3306	94	19	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	94	20	.	.	PUNCT
ejpam-3306	95	1	proof	proof	NOUN
ejpam-3306	95	2	.	.	PUNCT
ejpam-3306	96	1	let	let	VERB
ejpam-3306	96	2	x	x	PRON
ejpam-3306	96	3	,	,	PUNCT
ejpam-3306	96	4	y	y	PROPN
ejpam-3306	96	5	∈	∈	PROPN
ejpam-3306	96	6	h	h	NOUN
ejpam-3306	96	7	and	and	CCONJ
ejpam-3306	96	8	t	t	PROPN
ejpam-3306	96	9	∈	∈	PROPN
ejpam-3306	96	10	(	(	PUNCT
ejpam-3306	96	11	x	x	SYM
ejpam-3306	96	12	◦	◦	VERB
ejpam-3306	96	13	y	y	NOUN
ejpam-3306	96	14	)	)	PUNCT
ejpam-3306	96	15	∗h	∗h	NOUN
ejpam-3306	96	16	.	.	PUNCT
ejpam-3306	97	1	then	then	ADV
ejpam-3306	97	2	t	t	PROPN
ejpam-3306	97	3	∈	∈	PROPN
ejpam-3306	97	4	u	u	PROPN
ejpam-3306	97	5	◦	◦	NOUN
ejpam-3306	97	6	h	h	NOUN
ejpam-3306	97	7	for	for	ADP
ejpam-3306	97	8	some	some	DET
ejpam-3306	97	9	u	u	NOUN
ejpam-3306	97	10	∈	∈	PROPN
ejpam-3306	97	11	x	x	PUNCT
ejpam-3306	97	12	◦	◦	NOUN
ejpam-3306	97	13	y	y	PROPN
ejpam-3306	97	14	,	,	PUNCT
ejpam-3306	97	15	h	h	PROPN
ejpam-3306	97	16	∈	∈	PROPN
ejpam-3306	97	17	h.	h.	PROPN
ejpam-3306	97	18	then	then	ADV
ejpam-3306	97	19	t	t	PROPN
ejpam-3306	97	20	∈	∈	PROPN
ejpam-3306	97	21	u	u	NOUN
ejpam-3306	97	22	◦	◦	NOUN
ejpam-3306	97	23	h	h	NOUN
ejpam-3306	97	24	⊆	⊆	NUM
ejpam-3306	97	25	(	(	PUNCT
ejpam-3306	97	26	x	x	SYM
ejpam-3306	97	27	◦	◦	NOUN
ejpam-3306	97	28	y)∗{h	y)∗{h	NUM
ejpam-3306	97	29	}	}	PUNCT
ejpam-3306	97	30	.	.	PUNCT
ejpam-3306	98	1	since	since	SCONJ
ejpam-3306	98	2	h	h	NOUN
ejpam-3306	98	3	is	be	AUX
ejpam-3306	98	4	an	an	DET
ejpam-3306	98	5	hypersemigroup	hypersemigroup	NOUN
ejpam-3306	98	6	,	,	PUNCT
ejpam-3306	98	7	we	we	PRON
ejpam-3306	98	8	have	have	VERB
ejpam-3306	98	9	(	(	PUNCT
ejpam-3306	98	10	x	x	SYM
ejpam-3306	98	11	◦	◦	NOUN
ejpam-3306	98	12	y)∗{h	y)∗{h	PRON
ejpam-3306	98	13	}	}	PUNCT
ejpam-3306	98	14	=	=	SYM
ejpam-3306	98	15	{	{	PUNCT
ejpam-3306	98	16	x}∗(y	x}∗(y	PROPN
ejpam-3306	98	17	◦	◦	PROPN
ejpam-3306	98	18	h	h	NOUN
ejpam-3306	98	19	)	)	PUNCT
ejpam-3306	98	20	.	.	PUNCT
ejpam-3306	99	1	since	since	SCONJ
ejpam-3306	99	2	y	y	PROPN
ejpam-3306	99	3	◦	◦	NOUN
ejpam-3306	99	4	h	h	NOUN
ejpam-3306	99	5	⊆	⊆	NUM
ejpam-3306	99	6	{	{	PUNCT
ejpam-3306	99	7	y	y	NOUN
ejpam-3306	99	8	}	}	PUNCT
ejpam-3306	99	9	∗h	∗h	NOUN
ejpam-3306	99	10	,	,	PUNCT
ejpam-3306	99	11	we	we	PRON
ejpam-3306	99	12	have	have	VERB
ejpam-3306	99	13	{	{	PUNCT
ejpam-3306	99	14	x	x	NOUN
ejpam-3306	99	15	}	}	PUNCT
ejpam-3306	99	16	∗	∗	NOUN
ejpam-3306	99	17	(	(	PUNCT
ejpam-3306	99	18	y	y	PROPN
ejpam-3306	99	19	◦	◦	NOUN
ejpam-3306	99	20	h	h	NOUN
ejpam-3306	99	21	)	)	PUNCT
ejpam-3306	99	22	⊆	⊆	NUM
ejpam-3306	99	23	{	{	PUNCT
ejpam-3306	99	24	x	x	NOUN
ejpam-3306	99	25	}	}	PUNCT
ejpam-3306	99	26	∗	∗	NOUN
ejpam-3306	99	27	(	(	PUNCT
ejpam-3306	99	28	y	y	NOUN
ejpam-3306	99	29	∗h	∗h	NOUN
ejpam-3306	99	30	)	)	PUNCT
ejpam-3306	99	31	and	and	CCONJ
ejpam-3306	99	32	so	so	ADV
ejpam-3306	99	33	t	t	PROPN
ejpam-3306	99	34	∈	∈	PROPN
ejpam-3306	99	35	{	{	PUNCT
ejpam-3306	99	36	x	x	NOUN
ejpam-3306	99	37	}	}	PUNCT
ejpam-3306	99	38	∗	∗	NOUN
ejpam-3306	99	39	(	(	PUNCT
ejpam-3306	99	40	y	y	NOUN
ejpam-3306	99	41	∗h	∗h	NOUN
ejpam-3306	99	42	)	)	PUNCT
ejpam-3306	99	43	.	.	PUNCT
ejpam-3306	100	1	let	let	VERB
ejpam-3306	100	2	now	now	ADV
ejpam-3306	100	3	t	t	X
ejpam-3306	100	4	∈	∈	PROPN
ejpam-3306	100	5	{	{	PUNCT
ejpam-3306	100	6	x	x	NOUN
ejpam-3306	100	7	}	}	PUNCT
ejpam-3306	100	8	∗	∗	NOUN
ejpam-3306	100	9	(	(	PUNCT
ejpam-3306	100	10	y	y	NOUN
ejpam-3306	100	11	∗h	∗h	NOUN
ejpam-3306	100	12	)	)	PUNCT
ejpam-3306	100	13	.	.	PUNCT
ejpam-3306	101	1	then	then	ADV
ejpam-3306	101	2	t	t	PROPN
ejpam-3306	101	3	∈	∈	PROPN
ejpam-3306	101	4	x	x	PUNCT
ejpam-3306	101	5	◦	◦	NOUN
ejpam-3306	101	6	u	u	NOUN
ejpam-3306	101	7	for	for	ADP
ejpam-3306	101	8	some	some	DET
ejpam-3306	101	9	u	u	NOUN
ejpam-3306	101	10	∈	∈	PROPN
ejpam-3306	101	11	y	y	PROPN
ejpam-3306	101	12	∗h	∗h	NOUN
ejpam-3306	101	13	and	and	CCONJ
ejpam-3306	101	14	u	u	NOUN
ejpam-3306	101	15	∈	∈	PROPN
ejpam-3306	101	16	y	y	PROPN
ejpam-3306	101	17	◦	◦	NOUN
ejpam-3306	101	18	h	h	NOUN
ejpam-3306	101	19	for	for	ADP
ejpam-3306	101	20	some	some	DET
ejpam-3306	101	21	h	h	NOUN
ejpam-3306	101	22	∈	∈	PROPN
ejpam-3306	101	23	h.	h.	NOUN
ejpam-3306	101	24	we	we	PRON
ejpam-3306	101	25	have	have	VERB
ejpam-3306	101	26	t	t	PROPN
ejpam-3306	101	27	∈	∈	PROPN
ejpam-3306	101	28	x	x	PUNCT
ejpam-3306	101	29	◦	◦	NOUN
ejpam-3306	101	30	u	u	NOUN
ejpam-3306	101	31	⊆	⊆	NUM
ejpam-3306	101	32	{	{	PUNCT
ejpam-3306	101	33	x	x	NOUN
ejpam-3306	101	34	}	}	PUNCT
ejpam-3306	101	35	∗	∗	NOUN
ejpam-3306	101	36	(	(	PUNCT
ejpam-3306	101	37	y	y	PROPN
ejpam-3306	101	38	◦	◦	NOUN
ejpam-3306	101	39	h	h	NOUN
ejpam-3306	101	40	)	)	PUNCT
ejpam-3306	101	41	=	=	SYM
ejpam-3306	102	1	(	(	PUNCT
ejpam-3306	102	2	x	x	SYM
ejpam-3306	102	3	◦	◦	VERB
ejpam-3306	102	4	y	y	NOUN
ejpam-3306	102	5	)	)	PUNCT
ejpam-3306	102	6	∗	∗	NOUN
ejpam-3306	102	7	{	{	PUNCT
ejpam-3306	102	8	h	h	NOUN
ejpam-3306	102	9	}	}	PUNCT
ejpam-3306	102	10	(	(	PUNCT
ejpam-3306	102	11	since	since	SCONJ
ejpam-3306	102	12	h	h	NOUN
ejpam-3306	102	13	is	be	AUX
ejpam-3306	102	14	an	an	DET
ejpam-3306	102	15	hypersemigroup	hypersemigroup	NOUN
ejpam-3306	102	16	)	)	PUNCT
ejpam-3306	102	17	⊆	⊆	NUM
ejpam-3306	102	18	(	(	PUNCT
ejpam-3306	102	19	x	x	SYM
ejpam-3306	102	20	◦	◦	VERB
ejpam-3306	102	21	y	y	NOUN
ejpam-3306	102	22	)	)	PUNCT
ejpam-3306	102	23	∗h	∗h	NOUN
ejpam-3306	102	24	,	,	PUNCT
ejpam-3306	102	25	then	then	ADV
ejpam-3306	102	26	t	t	PROPN
ejpam-3306	102	27	∈	∈	PROPN
ejpam-3306	102	28	(	(	PUNCT
ejpam-3306	102	29	x	x	SYM
ejpam-3306	102	30	◦	◦	VERB
ejpam-3306	102	31	y	y	NOUN
ejpam-3306	102	32	)	)	PUNCT
ejpam-3306	102	33	∗h	∗h	NOUN
ejpam-3306	103	1	and	and	CCONJ
ejpam-3306	103	2	so	so	ADV
ejpam-3306	103	3	h	h	NOUN
ejpam-3306	103	4	is	be	AUX
ejpam-3306	103	5	right	right	ADV
ejpam-3306	103	6	consistent	consistent	ADJ
ejpam-3306	103	7	.	.	PUNCT
ejpam-3306	104	1	in	in	ADP
ejpam-3306	104	2	a	a	DET
ejpam-3306	104	3	similar	similar	ADJ
ejpam-3306	104	4	way	way	NOUN
ejpam-3306	104	5	we	we	PRON
ejpam-3306	104	6	can	can	AUX
ejpam-3306	104	7	prove	prove	VERB
ejpam-3306	104	8	that	that	SCONJ
ejpam-3306	104	9	h	h	NOUN
ejpam-3306	104	10	is	be	AUX
ejpam-3306	104	11	left	leave	VERB
ejpam-3306	104	12	consistent	consistent	ADJ
ejpam-3306	104	13	.	.	PUNCT
ejpam-3306	105	1	let	let	VERB
ejpam-3306	105	2	now	now	ADV
ejpam-3306	105	3	x	x	NOUN
ejpam-3306	105	4	,	,	PUNCT
ejpam-3306	105	5	y	y	PROPN
ejpam-3306	105	6	∈	∈	PROPN
ejpam-3306	105	7	h	h	NOUN
ejpam-3306	105	8	such	such	ADJ
ejpam-3306	105	9	that	that	SCONJ
ejpam-3306	105	10	t	t	PROPN
ejpam-3306	105	11	∈	∈	PROPN
ejpam-3306	105	12	(	(	PUNCT
ejpam-3306	105	13	x	x	NOUN
ejpam-3306	105	14	∗h	∗h	NOUN
ejpam-3306	105	15	)	)	PUNCT
ejpam-3306	105	16	∗	∗	NOUN
ejpam-3306	105	17	{	{	PUNCT
ejpam-3306	105	18	y	y	NOUN
ejpam-3306	105	19	}	}	PUNCT
ejpam-3306	105	20	.	.	PUNCT
ejpam-3306	106	1	then	then	ADV
ejpam-3306	106	2	t	t	PROPN
ejpam-3306	106	3	∈	∈	PROPN
ejpam-3306	106	4	u	u	PROPN
ejpam-3306	106	5	◦	◦	NOUN
ejpam-3306	106	6	y	y	NOUN
ejpam-3306	106	7	for	for	ADP
ejpam-3306	106	8	some	some	DET
ejpam-3306	106	9	u	u	NOUN
ejpam-3306	106	10	∈	∈	NOUN
ejpam-3306	106	11	x	x	PUNCT
ejpam-3306	106	12	∗h	∗h	NOUN
ejpam-3306	106	13	and	and	CCONJ
ejpam-3306	106	14	u	u	NOUN
ejpam-3306	106	15	∈	∈	PROPN
ejpam-3306	106	16	x	x	PUNCT
ejpam-3306	106	17	◦	◦	NOUN
ejpam-3306	106	18	h	h	NOUN
ejpam-3306	106	19	for	for	ADP
ejpam-3306	106	20	some	some	DET
ejpam-3306	106	21	h	h	NOUN
ejpam-3306	106	22	∈	∈	PROPN
ejpam-3306	106	23	h.	h.	NOUN
ejpam-3306	107	1	we	we	PRON
ejpam-3306	107	2	have	have	VERB
ejpam-3306	107	3	t	t	PROPN
ejpam-3306	107	4	∈	∈	PROPN
ejpam-3306	107	5	u	u	NOUN
ejpam-3306	107	6	◦	◦	NOUN
ejpam-3306	107	7	y	y	PROPN
ejpam-3306	107	8	⊆	⊆	NUM
ejpam-3306	107	9	(	(	PUNCT
ejpam-3306	107	10	x	x	SYM
ejpam-3306	107	11	◦	◦	NOUN
ejpam-3306	107	12	h	h	NOUN
ejpam-3306	107	13	)	)	PUNCT
ejpam-3306	107	14	∗	∗	NOUN
ejpam-3306	107	15	{	{	PUNCT
ejpam-3306	107	16	y	y	NOUN
ejpam-3306	107	17	}	}	PUNCT
ejpam-3306	107	18	=	=	SYM
ejpam-3306	107	19	{	{	PUNCT
ejpam-3306	107	20	x	x	NOUN
ejpam-3306	107	21	}	}	PUNCT
ejpam-3306	107	22	∗	∗	NOUN
ejpam-3306	107	23	(	(	PUNCT
ejpam-3306	107	24	h	h	NOUN
ejpam-3306	107	25	◦	◦	NOUN
ejpam-3306	107	26	y	y	PROPN
ejpam-3306	107	27	)	)	PUNCT
ejpam-3306	107	28	(	(	PUNCT
ejpam-3306	107	29	since	since	SCONJ
ejpam-3306	107	30	h	h	NOUN
ejpam-3306	107	31	is	be	AUX
ejpam-3306	107	32	an	an	DET
ejpam-3306	107	33	hypersemigroup	hypersemigroup	NOUN
ejpam-3306	107	34	)	)	PUNCT
ejpam-3306	107	35	⊆	⊆	NUM
ejpam-3306	107	36	{	{	PUNCT
ejpam-3306	107	37	x	x	NOUN
ejpam-3306	107	38	}	}	PUNCT
ejpam-3306	107	39	∗	∗	NOUN
ejpam-3306	107	40	(	(	PUNCT
ejpam-3306	107	41	h	h	PROPN
ejpam-3306	107	42	∗	∗	PROPN
ejpam-3306	107	43	y	y	PROPN
ejpam-3306	107	44	)	)	PUNCT
ejpam-3306	107	45	,	,	PUNCT
ejpam-3306	107	46	and	and	CCONJ
ejpam-3306	107	47	so	so	ADV
ejpam-3306	107	48	(	(	PUNCT
ejpam-3306	107	49	x	x	NOUN
ejpam-3306	107	50	∗	∗	NOUN
ejpam-3306	107	51	h	h	NOUN
ejpam-3306	107	52	)	)	PUNCT
ejpam-3306	107	53	∗	∗	NOUN
ejpam-3306	107	54	{	{	PUNCT
ejpam-3306	107	55	y	y	NOUN
ejpam-3306	107	56	}	}	PUNCT
ejpam-3306	107	57	⊆	⊆	NUM
ejpam-3306	107	58	{	{	PUNCT
ejpam-3306	107	59	x	x	NOUN
ejpam-3306	107	60	}	}	PUNCT
ejpam-3306	107	61	∗	∗	NOUN
ejpam-3306	107	62	(	(	PUNCT
ejpam-3306	107	63	h	h	PROPN
ejpam-3306	107	64	∗	∗	PROPN
ejpam-3306	107	65	y	y	PROPN
ejpam-3306	107	66	)	)	PUNCT
ejpam-3306	107	67	.	.	PUNCT
ejpam-3306	108	1	let	let	VERB
ejpam-3306	108	2	t	t	PROPN
ejpam-3306	108	3	∈	∈	PROPN
ejpam-3306	108	4	{	{	PUNCT
ejpam-3306	108	5	x	x	NOUN
ejpam-3306	108	6	}	}	PUNCT
ejpam-3306	108	7	∗	∗	NOUN
ejpam-3306	108	8	(	(	PUNCT
ejpam-3306	108	9	h	h	PROPN
ejpam-3306	108	10	∗	∗	PROPN
ejpam-3306	108	11	y	y	PROPN
ejpam-3306	108	12	)	)	PUNCT
ejpam-3306	108	13	.	.	PUNCT
ejpam-3306	109	1	then	then	ADV
ejpam-3306	109	2	t	t	PROPN
ejpam-3306	109	3	∈	∈	PROPN
ejpam-3306	109	4	x	x	PUNCT
ejpam-3306	109	5	◦	◦	NOUN
ejpam-3306	109	6	u	u	NOUN
ejpam-3306	109	7	for	for	ADP
ejpam-3306	109	8	some	some	DET
ejpam-3306	109	9	u	u	PROPN
ejpam-3306	109	10	∈	∈	PROPN
ejpam-3306	109	11	h	h	NOUN
ejpam-3306	109	12	∗	∗	X
ejpam-3306	109	13	y	y	PROPN
ejpam-3306	109	14	and	and	CCONJ
ejpam-3306	109	15	u	u	PROPN
ejpam-3306	109	16	∈	∈	PROPN
ejpam-3306	109	17	h	h	NOUN
ejpam-3306	109	18	◦	◦	NOUN
ejpam-3306	109	19	y	y	PROPN
ejpam-3306	109	20	for	for	ADP
ejpam-3306	109	21	some	some	DET
ejpam-3306	109	22	h	h	NOUN
ejpam-3306	109	23	∈	∈	PROPN
ejpam-3306	109	24	h.	h.	NOUN
ejpam-3306	109	25	then	then	ADV
ejpam-3306	109	26	we	we	PRON
ejpam-3306	109	27	get	get	VERB
ejpam-3306	109	28	t	t	PRON
ejpam-3306	109	29	∈	∈	NOUN
ejpam-3306	109	30	x	x	PUNCT
ejpam-3306	109	31	◦	◦	NOUN
ejpam-3306	109	32	u	u	NOUN
ejpam-3306	109	33	⊆	⊆	NUM
ejpam-3306	109	34	{	{	PUNCT
ejpam-3306	109	35	x	x	NOUN
ejpam-3306	109	36	}	}	PUNCT
ejpam-3306	109	37	∗	∗	NOUN
ejpam-3306	109	38	(	(	PUNCT
ejpam-3306	109	39	h	h	NOUN
ejpam-3306	109	40	◦	◦	NOUN
ejpam-3306	109	41	y	y	NOUN
ejpam-3306	109	42	)	)	PUNCT
ejpam-3306	109	43	=	=	PRON
ejpam-3306	110	1	(	(	PUNCT
ejpam-3306	110	2	x	x	PUNCT
ejpam-3306	110	3	◦	◦	NOUN
ejpam-3306	110	4	h	h	NOUN
ejpam-3306	110	5	)	)	PUNCT
ejpam-3306	110	6	∗	∗	NOUN
ejpam-3306	110	7	{	{	PUNCT
ejpam-3306	110	8	y	y	NOUN
ejpam-3306	110	9	}	}	PUNCT
ejpam-3306	110	10	⊆	⊆	NUM
ejpam-3306	110	11	(	(	PUNCT
ejpam-3306	110	12	x	x	NOUN
ejpam-3306	110	13	∗h	∗h	NOUN
ejpam-3306	110	14	)	)	PUNCT
ejpam-3306	110	15	∗	∗	NOUN
ejpam-3306	110	16	{	{	PUNCT
ejpam-3306	110	17	y	y	NOUN
ejpam-3306	110	18	}	}	PUNCT
ejpam-3306	110	19	,	,	PUNCT
ejpam-3306	110	20	then	then	ADV
ejpam-3306	110	21	{	{	PUNCT
ejpam-3306	110	22	x	x	NOUN
ejpam-3306	110	23	}	}	PUNCT
ejpam-3306	110	24	∗	∗	NOUN
ejpam-3306	110	25	(	(	PUNCT
ejpam-3306	110	26	h	h	PROPN
ejpam-3306	110	27	∗	∗	PROPN
ejpam-3306	110	28	y	y	PROPN
ejpam-3306	110	29	)	)	PUNCT
ejpam-3306	110	30	⊆	⊆	NUM
ejpam-3306	110	31	(	(	PUNCT
ejpam-3306	110	32	x	x	NOUN
ejpam-3306	110	33	∗h	∗h	NOUN
ejpam-3306	110	34	)	)	PUNCT
ejpam-3306	110	35	∗	∗	NOUN
ejpam-3306	110	36	{	{	PUNCT
ejpam-3306	110	37	y	y	NOUN
ejpam-3306	110	38	}	}	PUNCT
ejpam-3306	110	39	and	and	CCONJ
ejpam-3306	110	40	so	so	ADV
ejpam-3306	110	41	h	h	NOUN
ejpam-3306	110	42	is	be	AUX
ejpam-3306	110	43	intra	intra	ADJ
ejpam-3306	110	44	-	-	ADJ
ejpam-3306	110	45	consistent	consistent	ADJ
ejpam-3306	110	46	.	.	PUNCT
ejpam-3306	111	1	�	�	PROPN
ejpam-3306	111	2	we	we	PRON
ejpam-3306	111	3	apply	apply	VERB
ejpam-3306	111	4	proposition	proposition	NOUN
ejpam-3306	111	5	3.5	3.5	NUM
ejpam-3306	111	6	to	to	ADP
ejpam-3306	111	7	the	the	DET
ejpam-3306	111	8	following	following	ADJ
ejpam-3306	111	9	example	example	NOUN
ejpam-3306	111	10	example	example	NOUN
ejpam-3306	111	11	3.6	3.6	NUM
ejpam-3306	111	12	.	.	PUNCT
ejpam-3306	112	1	the	the	DET
ejpam-3306	112	2	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	112	3	defined	define	VERB
ejpam-3306	112	4	by	by	ADP
ejpam-3306	112	5	table	table	NOUN
ejpam-3306	112	6	4	4	NUM
ejpam-3306	112	7	is	be	AUX
ejpam-3306	112	8	an	an	DET
ejpam-3306	112	9	hypersemigroup	hypersemigroup	NOUN
ejpam-3306	112	10	.	.	PUNCT
ejpam-3306	113	1	so	so	ADV
ejpam-3306	113	2	,	,	PUNCT
ejpam-3306	113	3	by	by	ADP
ejpam-3306	113	4	proposition	proposition	NOUN
ejpam-3306	113	5	3.5	3.5	NUM
ejpam-3306	113	6	,	,	PUNCT
ejpam-3306	113	7	it	it	PRON
ejpam-3306	113	8	is	be	AUX
ejpam-3306	113	9	right	right	ADV
ejpam-3306	113	10	consistent	consistent	ADJ
ejpam-3306	113	11	,	,	PUNCT
ejpam-3306	113	12	left	leave	VERB
ejpam-3306	113	13	consistent	consistent	ADJ
ejpam-3306	113	14	and	and	CCONJ
ejpam-3306	113	15	intra	intra	ADJ
ejpam-3306	113	16	-	-	ADJ
ejpam-3306	113	17	consistent	consistent	ADJ
ejpam-3306	113	18	.	.	PUNCT
ejpam-3306	114	1	◦	◦	VERB
ejpam-3306	114	2	a	a	DET
ejpam-3306	114	3	b	b	NOUN
ejpam-3306	114	4	c	c	NOUN
ejpam-3306	114	5	d	d	X
ejpam-3306	114	6	e	e	X
ejpam-3306	114	7	a	a	DET
ejpam-3306	114	8	{	{	PUNCT
ejpam-3306	114	9	c	c	NOUN
ejpam-3306	114	10	}	}	PUNCT
ejpam-3306	114	11	{	{	PUNCT
ejpam-3306	114	12	a	a	DET
ejpam-3306	114	13	,	,	PUNCT
ejpam-3306	114	14	b	b	NOUN
ejpam-3306	114	15	,	,	PUNCT
ejpam-3306	114	16	c	c	NOUN
ejpam-3306	114	17	}	}	PUNCT
ejpam-3306	114	18	{	{	PUNCT
ejpam-3306	114	19	c	c	NOUN
ejpam-3306	114	20	}	}	PUNCT
ejpam-3306	114	21	{	{	PUNCT
ejpam-3306	114	22	a	a	PROPN
ejpam-3306	114	23	,	,	PUNCT
ejpam-3306	114	24	c	c	NOUN
ejpam-3306	114	25	}	}	PUNCT
ejpam-3306	114	26	{	{	PUNCT
ejpam-3306	114	27	a	a	PROPN
ejpam-3306	114	28	,	,	PUNCT
ejpam-3306	114	29	c	c	NOUN
ejpam-3306	114	30	}	}	PUNCT
ejpam-3306	114	31	b	b	PROPN
ejpam-3306	114	32	{	{	PUNCT
ejpam-3306	114	33	c	c	NOUN
ejpam-3306	114	34	}	}	PUNCT
ejpam-3306	114	35	{	{	PUNCT
ejpam-3306	114	36	a	a	DET
ejpam-3306	114	37	,	,	PUNCT
ejpam-3306	114	38	b	b	NOUN
ejpam-3306	114	39	,	,	PUNCT
ejpam-3306	114	40	c	c	NOUN
ejpam-3306	114	41	}	}	PUNCT
ejpam-3306	114	42	{	{	PUNCT
ejpam-3306	114	43	c	c	NOUN
ejpam-3306	114	44	}	}	PUNCT
ejpam-3306	114	45	{	{	PUNCT
ejpam-3306	114	46	a	a	DET
ejpam-3306	114	47	,	,	PUNCT
ejpam-3306	114	48	b	b	NOUN
ejpam-3306	114	49	,	,	PUNCT
ejpam-3306	114	50	c	c	NOUN
ejpam-3306	114	51	}	}	PUNCT
ejpam-3306	114	52	{	{	PUNCT
ejpam-3306	114	53	a	a	PRON
ejpam-3306	114	54	,	,	PUNCT
ejpam-3306	114	55	b	b	NOUN
ejpam-3306	114	56	,	,	PUNCT
ejpam-3306	114	57	c	c	NOUN
ejpam-3306	114	58	}	}	PUNCT
ejpam-3306	114	59	c	c	NOUN
ejpam-3306	114	60	{	{	PUNCT
ejpam-3306	114	61	c	c	NOUN
ejpam-3306	114	62	}	}	PUNCT
ejpam-3306	114	63	{	{	PUNCT
ejpam-3306	114	64	a	a	DET
ejpam-3306	114	65	,	,	PUNCT
ejpam-3306	114	66	b	b	NOUN
ejpam-3306	114	67	,	,	PUNCT
ejpam-3306	114	68	c	c	NOUN
ejpam-3306	114	69	}	}	PUNCT
ejpam-3306	114	70	{	{	PUNCT
ejpam-3306	114	71	c	c	NOUN
ejpam-3306	114	72	}	}	PUNCT
ejpam-3306	114	73	{	{	PUNCT
ejpam-3306	114	74	c	c	NOUN
ejpam-3306	114	75	}	}	PUNCT
ejpam-3306	114	76	{	{	PUNCT
ejpam-3306	114	77	c	c	NOUN
ejpam-3306	114	78	}	}	PUNCT
ejpam-3306	114	79	d	d	NOUN
ejpam-3306	114	80	{	{	PUNCT
ejpam-3306	114	81	a	a	X
ejpam-3306	114	82	,	,	PUNCT
ejpam-3306	114	83	c	c	NOUN
ejpam-3306	114	84	}	}	PUNCT
ejpam-3306	114	85	{	{	PUNCT
ejpam-3306	114	86	a	a	PRON
ejpam-3306	114	87	,	,	PUNCT
ejpam-3306	114	88	b	b	NOUN
ejpam-3306	114	89	,	,	PUNCT
ejpam-3306	114	90	c	c	NOUN
ejpam-3306	114	91	}	}	PUNCT
ejpam-3306	114	92	{	{	PUNCT
ejpam-3306	114	93	c	c	NOUN
ejpam-3306	114	94	}	}	PUNCT
ejpam-3306	114	95	{	{	PUNCT
ejpam-3306	114	96	d	d	NOUN
ejpam-3306	114	97	,	,	PUNCT
ejpam-3306	114	98	e	e	NOUN
ejpam-3306	114	99	}	}	PUNCT
ejpam-3306	114	100	{	{	PUNCT
ejpam-3306	114	101	d	d	NOUN
ejpam-3306	114	102	,	,	PUNCT
ejpam-3306	114	103	e	e	NOUN
ejpam-3306	114	104	}	}	PUNCT
ejpam-3306	114	105	e	e	X
ejpam-3306	114	106	{	{	PUNCT
ejpam-3306	114	107	a	a	PRON
ejpam-3306	114	108	,	,	PUNCT
ejpam-3306	114	109	c	c	NOUN
ejpam-3306	114	110	}	}	PUNCT
ejpam-3306	114	111	{	{	PUNCT
ejpam-3306	114	112	a	a	DET
ejpam-3306	114	113	,	,	PUNCT
ejpam-3306	114	114	b	b	NOUN
ejpam-3306	114	115	,	,	PUNCT
ejpam-3306	114	116	c	c	NOUN
ejpam-3306	114	117	}	}	PUNCT
ejpam-3306	114	118	{	{	PUNCT
ejpam-3306	114	119	c	c	NOUN
ejpam-3306	114	120	}	}	PUNCT
ejpam-3306	114	121	{	{	PUNCT
ejpam-3306	114	122	d	d	NOUN
ejpam-3306	114	123	,	,	PUNCT
ejpam-3306	114	124	e	e	NOUN
ejpam-3306	114	125	}	}	PUNCT
ejpam-3306	114	126	{	{	PUNCT
ejpam-3306	114	127	e	e	NOUN
ejpam-3306	114	128	}	}	PUNCT
ejpam-3306	114	129	table	table	NOUN
ejpam-3306	114	130	4	4	NUM
ejpam-3306	114	131	.	.	PUNCT
ejpam-3306	115	1	a	a	DET
ejpam-3306	115	2	groupoid	groupoid	NOUN
ejpam-3306	115	3	(	(	PUNCT
ejpam-3306	115	4	g	g	NOUN
ejpam-3306	115	5	,	,	PUNCT
ejpam-3306	115	6	·	·	PUNCT
ejpam-3306	115	7	)	)	PUNCT
ejpam-3306	115	8	is	be	AUX
ejpam-3306	115	9	said	say	VERB
ejpam-3306	115	10	to	to	PART
ejpam-3306	115	11	be	be	AUX
ejpam-3306	115	12	right	right	ADJ
ejpam-3306	115	13	(	(	PUNCT
ejpam-3306	115	14	resp	resp	NOUN
ejpam-3306	115	15	.	.	PUNCT
ejpam-3306	116	1	left	leave	VERB
ejpam-3306	116	2	)	)	PUNCT
ejpam-3306	116	3	consistent	consistent	ADJ
ejpam-3306	116	4	if	if	SCONJ
ejpam-3306	116	5	,	,	PUNCT
ejpam-3306	116	6	for	for	ADP
ejpam-3306	116	7	any	any	DET
ejpam-3306	116	8	x	x	NOUN
ejpam-3306	116	9	,	,	PUNCT
ejpam-3306	116	10	y	y	PROPN
ejpam-3306	116	11	∈	∈	PROPN
ejpam-3306	116	12	g	g	PROPN
ejpam-3306	116	13	,	,	PUNCT
ejpam-3306	116	14	we	we	PRON
ejpam-3306	116	15	have	have	VERB
ejpam-3306	116	16	(	(	PUNCT
ejpam-3306	116	17	xy)g	xy)g	PROPN
ejpam-3306	116	18	=	=	SYM
ejpam-3306	116	19	x(yg	x(yg	PROPN
ejpam-3306	116	20	)	)	PUNCT
ejpam-3306	116	21	(	(	PUNCT
ejpam-3306	116	22	resp	resp	NOUN
ejpam-3306	116	23	.	.	PUNCT
ejpam-3306	117	1	g(xy	g(xy	PROPN
ejpam-3306	117	2	)	)	PUNCT
ejpam-3306	117	3	=	=	PRON
ejpam-3306	117	4	(	(	PUNCT
ejpam-3306	117	5	gx)y	gx)y	PROPN
ejpam-3306	117	6	)	)	PUNCT
ejpam-3306	117	7	;	;	PUNCT
ejpam-3306	117	8	it	it	PRON
ejpam-3306	117	9	is	be	AUX
ejpam-3306	117	10	called	call	VERB
ejpam-3306	117	11	intra	intra	ADJ
ejpam-3306	117	12	-	-	ADJ
ejpam-3306	117	13	consistent	consistent	ADJ
ejpam-3306	117	14	if	if	SCONJ
ejpam-3306	117	15	(	(	PUNCT
ejpam-3306	117	16	xg)y	xg)y	PROPN
ejpam-3306	117	17	=	=	SYM
ejpam-3306	117	18	x(gy	x(gy	PROPN
ejpam-3306	117	19	)	)	PUNCT
ejpam-3306	117	20	for	for	ADP
ejpam-3306	117	21	every	every	DET
ejpam-3306	117	22	x	x	PROPN
ejpam-3306	117	23	,	,	PUNCT
ejpam-3306	117	24	y	y	PROPN
ejpam-3306	117	25	∈	∈	PROPN
ejpam-3306	117	26	g	g	PROPN
ejpam-3306	117	27	(	(	PUNCT
ejpam-3306	117	28	cf	cf	NOUN
ejpam-3306	117	29	.	.	PUNCT
ejpam-3306	118	1	also	also	ADV
ejpam-3306	118	2	[	[	X
ejpam-3306	118	3	1	1	NUM
ejpam-3306	118	4	]	]	NUM
ejpam-3306	118	5	)	)	PUNCT
ejpam-3306	118	6	.	.	PUNCT
ejpam-3306	119	1	proposition	proposition	NOUN
ejpam-3306	119	2	3.7	3.7	NUM
ejpam-3306	119	3	.	.	PUNCT
ejpam-3306	120	1	let	let	AUX
ejpam-3306	120	2	(	(	PUNCT
ejpam-3306	120	3	g	g	NOUN
ejpam-3306	120	4	,	,	PUNCT
ejpam-3306	120	5	·	·	PUNCT
ejpam-3306	120	6	)	)	PUNCT
ejpam-3306	120	7	be	be	AUX
ejpam-3306	120	8	a	a	DET
ejpam-3306	120	9	right	right	ADJ
ejpam-3306	120	10	(	(	PUNCT
ejpam-3306	120	11	resp	resp	NOUN
ejpam-3306	120	12	.	.	PUNCT
ejpam-3306	121	1	left	leave	VERB
ejpam-3306	121	2	)	)	PUNCT
ejpam-3306	121	3	consistent	consistent	ADJ
ejpam-3306	121	4	or	or	CCONJ
ejpam-3306	121	5	intra	intra	ADJ
ejpam-3306	121	6	-	-	ADJ
ejpam-3306	121	7	consistent	consistent	ADJ
ejpam-3306	121	8	groupoid	groupoid	NOUN
ejpam-3306	121	9	and	and	CCONJ
ejpam-3306	121	10	“	"	PUNCT
ejpam-3306	121	11	◦	◦	NOUN
ejpam-3306	121	12	”	"	PUNCT
ejpam-3306	121	13	the	the	DET
ejpam-3306	121	14	hyperoperation	hyperoperation	NOUN
ejpam-3306	121	15	on	on	ADP
ejpam-3306	121	16	g	g	PROPN
ejpam-3306	121	17	defined	define	VERB
ejpam-3306	121	18	by	by	ADP
ejpam-3306	121	19	a	a	DET
ejpam-3306	121	20	◦	◦	NOUN
ejpam-3306	121	21	b	b	X
ejpam-3306	121	22	:	:	PUNCT
ejpam-3306	121	23	=	=	SYM
ejpam-3306	121	24	{	{	PUNCT
ejpam-3306	121	25	ab	ab	NOUN
ejpam-3306	121	26	}	}	PUNCT
ejpam-3306	121	27	.	.	PUNCT
ejpam-3306	122	1	then	then	ADV
ejpam-3306	122	2	(	(	PUNCT
ejpam-3306	122	3	g	g	NOUN
ejpam-3306	122	4	,	,	PUNCT
ejpam-3306	122	5	◦	◦	NOUN
ejpam-3306	122	6	)	)	PUNCT
ejpam-3306	122	7	is	be	AUX
ejpam-3306	122	8	a	a	DET
ejpam-3306	122	9	right	right	ADJ
ejpam-3306	122	10	(	(	PUNCT
ejpam-3306	122	11	resp	resp	NOUN
ejpam-3306	122	12	.	.	PUNCT
ejpam-3306	123	1	left	leave	VERB
ejpam-3306	123	2	)	)	PUNCT
ejpam-3306	123	3	consistent	consistent	ADJ
ejpam-3306	123	4	or	or	CCONJ
ejpam-3306	123	5	intra	intra	ADJ
ejpam-3306	123	6	-	-	ADJ
ejpam-3306	123	7	consistent	consistent	ADJ
ejpam-3306	123	8	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	123	9	.	.	PUNCT
ejpam-3306	124	1	n.	n.	PROPN
ejpam-3306	124	2	kehayopulu	kehayopulu	PROPN
ejpam-3306	124	3	/	/	SYM
ejpam-3306	124	4	eur	eur	PROPN
ejpam-3306	124	5	.	.	PUNCT
ejpam-3306	125	1	j.	j.	PROPN
ejpam-3306	125	2	pure	pure	PROPN
ejpam-3306	125	3	appl	appl	PROPN
ejpam-3306	125	4	.	.	PROPN
ejpam-3306	125	5	math	math	PROPN
ejpam-3306	125	6	,	,	PUNCT
ejpam-3306	125	7	11	11	NUM
ejpam-3306	125	8	(	(	PUNCT
ejpam-3306	125	9	3	3	NUM
ejpam-3306	125	10	)	)	PUNCT
ejpam-3306	125	11	(	(	PUNCT
ejpam-3306	125	12	2018	2018	NUM
ejpam-3306	125	13	)	)	PUNCT
ejpam-3306	125	14	,	,	PUNCT
ejpam-3306	125	15	598	598	NUM
ejpam-3306	125	16	-	-	SYM
ejpam-3306	125	17	611	611	NUM
ejpam-3306	125	18	603	603	NUM
ejpam-3306	125	19	proof	proof	NOUN
ejpam-3306	125	20	.	.	PUNCT
ejpam-3306	126	1	let	let	VERB
ejpam-3306	126	2	(	(	PUNCT
ejpam-3306	126	3	g	g	NOUN
ejpam-3306	126	4	,	,	PUNCT
ejpam-3306	126	5	·	·	PUNCT
ejpam-3306	126	6	)	)	PUNCT
ejpam-3306	126	7	be	be	AUX
ejpam-3306	126	8	right	right	ADV
ejpam-3306	126	9	consistent	consistent	ADJ
ejpam-3306	126	10	and	and	CCONJ
ejpam-3306	126	11	x	x	X
ejpam-3306	126	12	,	,	PUNCT
ejpam-3306	126	13	y	y	PROPN
ejpam-3306	126	14	∈	∈	PROPN
ejpam-3306	126	15	g.	g.	NOUN
ejpam-3306	127	1	then	then	ADV
ejpam-3306	127	2	(	(	PUNCT
ejpam-3306	127	3	x	x	X
ejpam-3306	127	4	◦	◦	VERB
ejpam-3306	127	5	y	y	NOUN
ejpam-3306	127	6	)	)	PUNCT
ejpam-3306	127	7	∗	∗	NOUN
ejpam-3306	127	8	g	g	NOUN
ejpam-3306	127	9	=	=	SYM
ejpam-3306	127	10	{	{	PUNCT
ejpam-3306	127	11	x	x	NOUN
ejpam-3306	127	12	}	}	PUNCT
ejpam-3306	127	13	∗	∗	NOUN
ejpam-3306	127	14	(	(	PUNCT
ejpam-3306	127	15	y	y	NOUN
ejpam-3306	127	16	∗	∗	NOUN
ejpam-3306	127	17	g	g	NOUN
ejpam-3306	127	18	)	)	PUNCT
ejpam-3306	127	19	.	.	PUNCT
ejpam-3306	128	1	indeed	indeed	ADV
ejpam-3306	128	2	:	:	PUNCT
ejpam-3306	128	3	if	if	SCONJ
ejpam-3306	128	4	t	t	PROPN
ejpam-3306	128	5	∈	∈	PROPN
ejpam-3306	128	6	(	(	PUNCT
ejpam-3306	128	7	x	x	SYM
ejpam-3306	128	8	◦	◦	VERB
ejpam-3306	128	9	y	y	NOUN
ejpam-3306	128	10	)	)	PUNCT
ejpam-3306	128	11	∗	∗	NOUN
ejpam-3306	128	12	g	g	NOUN
ejpam-3306	128	13	,	,	PUNCT
ejpam-3306	128	14	then	then	ADV
ejpam-3306	128	15	t	t	PROPN
ejpam-3306	128	16	∈	∈	PROPN
ejpam-3306	128	17	u	u	PROPN
ejpam-3306	128	18	◦	◦	NOUN
ejpam-3306	128	19	h	h	NOUN
ejpam-3306	128	20	for	for	ADP
ejpam-3306	128	21	some	some	DET
ejpam-3306	128	22	u	u	NOUN
ejpam-3306	128	23	∈	∈	PROPN
ejpam-3306	128	24	x	x	PUNCT
ejpam-3306	128	25	◦	◦	NOUN
ejpam-3306	128	26	y	y	PROPN
ejpam-3306	128	27	,	,	PUNCT
ejpam-3306	128	28	h	h	PROPN
ejpam-3306	128	29	∈	∈	PROPN
ejpam-3306	128	30	g.	g.	NOUN
ejpam-3306	128	31	then	then	ADV
ejpam-3306	128	32	t	t	PROPN
ejpam-3306	128	33	=	=	PUNCT
ejpam-3306	128	34	uh	uh	INTJ
ejpam-3306	128	35	and	and	CCONJ
ejpam-3306	128	36	u	u	NOUN
ejpam-3306	128	37	=	=	PUNCT
ejpam-3306	128	38	xy	xy	PROPN
ejpam-3306	129	1	and	and	CCONJ
ejpam-3306	129	2	so	so	ADV
ejpam-3306	129	3	t	t	PROPN
ejpam-3306	129	4	=	=	SYM
ejpam-3306	129	5	(	(	PUNCT
ejpam-3306	129	6	xy)h	xy)h	PROPN
ejpam-3306	129	7	∈	∈	PROPN
ejpam-3306	129	8	(	(	PUNCT
ejpam-3306	129	9	xy)g	xy)g	PROPN
ejpam-3306	129	10	=	=	SYM
ejpam-3306	129	11	x(yg	x(yg	PROPN
ejpam-3306	129	12	)	)	PUNCT
ejpam-3306	129	13	since	since	SCONJ
ejpam-3306	129	14	g	g	PROPN
ejpam-3306	129	15	is	be	AUX
ejpam-3306	129	16	right	right	ADV
ejpam-3306	129	17	consistent	consistent	ADJ
ejpam-3306	129	18	.	.	PUNCT
ejpam-3306	130	1	then	then	ADV
ejpam-3306	130	2	t	t	PROPN
ejpam-3306	130	3	=	=	PUNCT
ejpam-3306	130	4	x(yk	x(yk	PROPN
ejpam-3306	130	5	)	)	PUNCT
ejpam-3306	130	6	for	for	ADP
ejpam-3306	130	7	some	some	DET
ejpam-3306	130	8	k	k	PROPN
ejpam-3306	130	9	∈	∈	PROPN
ejpam-3306	130	10	g.	g.	NOUN
ejpam-3306	130	11	then	then	ADV
ejpam-3306	130	12	we	we	PRON
ejpam-3306	130	13	have	have	VERB
ejpam-3306	130	14	t	t	PROPN
ejpam-3306	130	15	∈	∈	PROPN
ejpam-3306	130	16	{	{	PUNCT
ejpam-3306	130	17	x(yk	x(yk	PROPN
ejpam-3306	130	18	)	)	PUNCT
ejpam-3306	130	19	}	}	PUNCT
ejpam-3306	130	20	=	=	SYM
ejpam-3306	131	1	x	x	PUNCT
ejpam-3306	131	2	◦	◦	NOUN
ejpam-3306	131	3	(	(	PUNCT
ejpam-3306	131	4	yk	yk	PROPN
ejpam-3306	131	5	)	)	PUNCT
ejpam-3306	131	6	=	=	PRON
ejpam-3306	131	7	{	{	PUNCT
ejpam-3306	131	8	x	x	NOUN
ejpam-3306	131	9	}	}	PUNCT
ejpam-3306	131	10	∗	∗	NOUN
ejpam-3306	131	11	{	{	PUNCT
ejpam-3306	131	12	yk	yk	NOUN
ejpam-3306	131	13	}	}	PUNCT
ejpam-3306	131	14	=	=	PUNCT
ejpam-3306	131	15	{	{	PUNCT
ejpam-3306	131	16	x	x	NOUN
ejpam-3306	131	17	}	}	PUNCT
ejpam-3306	131	18	∗	∗	NOUN
ejpam-3306	131	19	(	(	PUNCT
ejpam-3306	131	20	y	y	PROPN
ejpam-3306	131	21	◦	◦	PROPN
ejpam-3306	131	22	k	k	X
ejpam-3306	131	23	)	)	PUNCT
ejpam-3306	131	24	⊆	⊆	NUM
ejpam-3306	131	25	{	{	PUNCT
ejpam-3306	131	26	x	x	NOUN
ejpam-3306	131	27	}	}	PUNCT
ejpam-3306	131	28	∗	∗	NOUN
ejpam-3306	131	29	(	(	PUNCT
ejpam-3306	131	30	y	y	PROPN
ejpam-3306	131	31	∗g	∗g	PROPN
ejpam-3306	131	32	)	)	PUNCT
ejpam-3306	131	33	,	,	PUNCT
ejpam-3306	131	34	and	and	CCONJ
ejpam-3306	131	35	so	so	ADV
ejpam-3306	131	36	(	(	PUNCT
ejpam-3306	131	37	x	x	X
ejpam-3306	131	38	◦	◦	VERB
ejpam-3306	131	39	y	y	NOUN
ejpam-3306	131	40	)	)	PUNCT
ejpam-3306	131	41	∗g	∗g	ADP
ejpam-3306	131	42	⊆	⊆	NUM
ejpam-3306	131	43	{	{	PUNCT
ejpam-3306	131	44	x	x	NOUN
ejpam-3306	131	45	}	}	PUNCT
ejpam-3306	131	46	∗	∗	NOUN
ejpam-3306	131	47	(	(	PUNCT
ejpam-3306	131	48	y	y	PROPN
ejpam-3306	131	49	∗g	∗g	PROPN
ejpam-3306	131	50	)	)	PUNCT
ejpam-3306	131	51	.	.	PUNCT
ejpam-3306	132	1	similarly	similarly	ADV
ejpam-3306	132	2	{	{	PUNCT
ejpam-3306	132	3	x	x	NOUN
ejpam-3306	132	4	}	}	PUNCT
ejpam-3306	132	5	∗	∗	NOUN
ejpam-3306	132	6	(	(	PUNCT
ejpam-3306	132	7	y	y	PROPN
ejpam-3306	132	8	∗g	∗g	PROPN
ejpam-3306	132	9	)	)	PUNCT
ejpam-3306	132	10	⊆	⊆	NUM
ejpam-3306	132	11	(	(	PUNCT
ejpam-3306	132	12	x	x	SYM
ejpam-3306	132	13	◦	◦	VERB
ejpam-3306	132	14	y	y	NOUN
ejpam-3306	132	15	)	)	PUNCT
ejpam-3306	132	16	∗g	∗g	NOUN
ejpam-3306	132	17	and	and	CCONJ
ejpam-3306	132	18	equality	equality	NOUN
ejpam-3306	132	19	holds	hold	VERB
ejpam-3306	132	20	;	;	PUNCT
ejpam-3306	132	21	thus	thus	ADV
ejpam-3306	132	22	(	(	PUNCT
ejpam-3306	132	23	g	g	NOUN
ejpam-3306	132	24	,	,	PUNCT
ejpam-3306	132	25	◦	◦	NOUN
ejpam-3306	132	26	)	)	PUNCT
ejpam-3306	132	27	is	be	AUX
ejpam-3306	132	28	right	right	ADV
ejpam-3306	132	29	consistent	consistent	ADJ
ejpam-3306	132	30	.	.	PUNCT
ejpam-3306	133	1	if	if	SCONJ
ejpam-3306	133	2	(	(	PUNCT
ejpam-3306	133	3	g	g	NOUN
ejpam-3306	133	4	,	,	PUNCT
ejpam-3306	133	5	·	·	PUNCT
ejpam-3306	133	6	)	)	PUNCT
ejpam-3306	133	7	is	be	AUX
ejpam-3306	133	8	a	a	DET
ejpam-3306	133	9	left	left	ADJ
ejpam-3306	133	10	consistent	consistent	ADJ
ejpam-3306	133	11	,	,	PUNCT
ejpam-3306	133	12	then	then	ADV
ejpam-3306	133	13	in	in	ADP
ejpam-3306	133	14	a	a	DET
ejpam-3306	133	15	similar	similar	ADJ
ejpam-3306	133	16	way	way	NOUN
ejpam-3306	133	17	we	we	PRON
ejpam-3306	133	18	prove	prove	VERB
ejpam-3306	133	19	that	that	SCONJ
ejpam-3306	133	20	(	(	PUNCT
ejpam-3306	133	21	g	g	NOUN
ejpam-3306	133	22	,	,	PUNCT
ejpam-3306	133	23	◦	◦	NOUN
ejpam-3306	133	24	)	)	PUNCT
ejpam-3306	133	25	is	be	AUX
ejpam-3306	133	26	left	leave	VERB
ejpam-3306	133	27	consistent	consistent	ADJ
ejpam-3306	133	28	as	as	ADV
ejpam-3306	133	29	well	well	ADV
ejpam-3306	133	30	.	.	PUNCT
ejpam-3306	134	1	let	let	AUX
ejpam-3306	134	2	now	now	ADV
ejpam-3306	134	3	(	(	PUNCT
ejpam-3306	134	4	g	g	NOUN
ejpam-3306	134	5	,	,	PUNCT
ejpam-3306	134	6	·	·	PUNCT
ejpam-3306	134	7	)	)	PUNCT
ejpam-3306	134	8	be	be	AUX
ejpam-3306	134	9	an	an	DET
ejpam-3306	134	10	intra	intra	ADJ
ejpam-3306	134	11	-	-	ADJ
ejpam-3306	134	12	consistent	consistent	ADJ
ejpam-3306	134	13	groupoid	groupoid	NOUN
ejpam-3306	134	14	and	and	CCONJ
ejpam-3306	134	15	x	x	NOUN
ejpam-3306	134	16	,	,	PUNCT
ejpam-3306	134	17	y	y	PROPN
ejpam-3306	134	18	∈	∈	PROPN
ejpam-3306	134	19	g.	g.	NOUN
ejpam-3306	135	1	then	then	ADV
ejpam-3306	135	2	(	(	PUNCT
ejpam-3306	135	3	g	g	NOUN
ejpam-3306	135	4	,	,	PUNCT
ejpam-3306	135	5	◦	◦	NOUN
ejpam-3306	135	6	)	)	PUNCT
ejpam-3306	135	7	is	be	AUX
ejpam-3306	135	8	intraconsistent	intraconsistent	NOUN
ejpam-3306	135	9	,	,	PUNCT
ejpam-3306	135	10	that	that	ADV
ejpam-3306	135	11	is	is	ADV
ejpam-3306	135	12	(	(	PUNCT
ejpam-3306	135	13	x∗g)∗{y	x∗g)∗{y	PROPN
ejpam-3306	135	14	}	}	PUNCT
ejpam-3306	135	15	=	=	SYM
ejpam-3306	135	16	{	{	PUNCT
ejpam-3306	135	17	x}∗	x}∗	PROPN
ejpam-3306	135	18	(	(	PUNCT
ejpam-3306	135	19	g∗y	g∗y	NUM
ejpam-3306	135	20	)	)	PUNCT
ejpam-3306	135	21	.	.	PUNCT
ejpam-3306	136	1	in	in	ADP
ejpam-3306	136	2	fact	fact	NOUN
ejpam-3306	136	3	:	:	PUNCT
ejpam-3306	136	4	let	let	VERB
ejpam-3306	136	5	t	t	PROPN
ejpam-3306	136	6	∈	∈	PROPN
ejpam-3306	136	7	(	(	PUNCT
ejpam-3306	136	8	x∗g)∗{y	x∗g)∗{y	NOUN
ejpam-3306	136	9	}	}	PUNCT
ejpam-3306	136	10	.	.	PUNCT
ejpam-3306	137	1	then	then	ADV
ejpam-3306	137	2	t	t	PROPN
ejpam-3306	137	3	∈	∈	PROPN
ejpam-3306	137	4	u	u	PROPN
ejpam-3306	137	5	◦	◦	NOUN
ejpam-3306	137	6	y	y	NOUN
ejpam-3306	137	7	for	for	ADP
ejpam-3306	137	8	some	some	DET
ejpam-3306	137	9	u	u	NOUN
ejpam-3306	137	10	∈	∈	PROPN
ejpam-3306	137	11	x	x	PUNCT
ejpam-3306	137	12	∗g	∗g	NOUN
ejpam-3306	137	13	and	and	CCONJ
ejpam-3306	137	14	u	u	NOUN
ejpam-3306	137	15	∈	∈	PROPN
ejpam-3306	137	16	x	x	PUNCT
ejpam-3306	137	17	◦	◦	NOUN
ejpam-3306	137	18	v	v	NOUN
ejpam-3306	137	19	for	for	ADP
ejpam-3306	137	20	some	some	DET
ejpam-3306	137	21	v	v	NOUN
ejpam-3306	137	22	∈	∈	NOUN
ejpam-3306	137	23	g.	g.	NOUN
ejpam-3306	137	24	then	then	ADV
ejpam-3306	137	25	t	t	PROPN
ejpam-3306	138	1	=	=	PUNCT
ejpam-3306	138	2	uy	uy	PROPN
ejpam-3306	138	3	=	=	SYM
ejpam-3306	138	4	(	(	PUNCT
ejpam-3306	138	5	xv)y	xv)y	PROPN
ejpam-3306	138	6	∈	∈	PROPN
ejpam-3306	138	7	(	(	PUNCT
ejpam-3306	138	8	xg)y	xg)y	PROPN
ejpam-3306	138	9	=	=	SYM
ejpam-3306	138	10	x(gy	x(gy	PROPN
ejpam-3306	138	11	)	)	PUNCT
ejpam-3306	138	12	since	since	SCONJ
ejpam-3306	138	13	g	g	PROPN
ejpam-3306	138	14	is	be	AUX
ejpam-3306	138	15	intra	intra	ADJ
ejpam-3306	138	16	-	-	ADJ
ejpam-3306	138	17	consistent	consistent	ADJ
ejpam-3306	138	18	.	.	PUNCT
ejpam-3306	139	1	then	then	ADV
ejpam-3306	139	2	there	there	PRON
ejpam-3306	139	3	exists	exist	VERB
ejpam-3306	139	4	h	h	NOUN
ejpam-3306	139	5	∈	∈	PROPN
ejpam-3306	139	6	g	g	PROPN
ejpam-3306	139	7	such	such	ADJ
ejpam-3306	139	8	that	that	DET
ejpam-3306	139	9	t	t	NOUN
ejpam-3306	139	10	=	=	PUNCT
ejpam-3306	139	11	x(hy	x(hy	PROPN
ejpam-3306	139	12	)	)	PUNCT
ejpam-3306	139	13	.	.	PUNCT
ejpam-3306	140	1	hence	hence	ADV
ejpam-3306	140	2	we	we	PRON
ejpam-3306	140	3	obtain	obtain	VERB
ejpam-3306	140	4	t	t	X
ejpam-3306	140	5	∈	∈	PROPN
ejpam-3306	140	6	{	{	PUNCT
ejpam-3306	140	7	x(hy	x(hy	PROPN
ejpam-3306	140	8	)	)	PUNCT
ejpam-3306	140	9	}	}	PUNCT
ejpam-3306	140	10	=	=	PUNCT
ejpam-3306	140	11	x	x	PUNCT
ejpam-3306	140	12	◦	◦	NOUN
ejpam-3306	140	13	(	(	PUNCT
ejpam-3306	140	14	hy	hy	NOUN
ejpam-3306	140	15	)	)	PUNCT
ejpam-3306	140	16	=	=	SYM
ejpam-3306	140	17	{	{	PUNCT
ejpam-3306	140	18	x	x	NOUN
ejpam-3306	140	19	}	}	PUNCT
ejpam-3306	140	20	∗	∗	NOUN
ejpam-3306	140	21	{	{	PUNCT
ejpam-3306	140	22	hy	hy	NOUN
ejpam-3306	140	23	}	}	PUNCT
ejpam-3306	140	24	=	=	SYM
ejpam-3306	140	25	{	{	PUNCT
ejpam-3306	140	26	x	x	NOUN
ejpam-3306	140	27	}	}	PUNCT
ejpam-3306	140	28	∗	∗	NOUN
ejpam-3306	140	29	(	(	PUNCT
ejpam-3306	140	30	h	h	NOUN
ejpam-3306	140	31	◦	◦	NOUN
ejpam-3306	140	32	y	y	PROPN
ejpam-3306	140	33	)	)	PUNCT
ejpam-3306	140	34	⊆	⊆	NUM
ejpam-3306	140	35	{	{	PUNCT
ejpam-3306	140	36	x	x	NOUN
ejpam-3306	140	37	}	}	PUNCT
ejpam-3306	140	38	∗	∗	NOUN
ejpam-3306	140	39	(	(	PUNCT
ejpam-3306	140	40	g	g	PROPN
ejpam-3306	140	41	∗	∗	X
ejpam-3306	140	42	y	y	PROPN
ejpam-3306	140	43	)	)	PUNCT
ejpam-3306	140	44	,	,	PUNCT
ejpam-3306	140	45	and	and	CCONJ
ejpam-3306	140	46	(	(	PUNCT
ejpam-3306	140	47	x∗g)∗{y	x∗g)∗{y	NOUN
ejpam-3306	140	48	}	}	PUNCT
ejpam-3306	140	49	⊆	⊆	NUM
ejpam-3306	140	50	{	{	PUNCT
ejpam-3306	140	51	x}∗(g∗y	x}∗(g∗y	NUM
ejpam-3306	140	52	)	)	PUNCT
ejpam-3306	140	53	.	.	PUNCT
ejpam-3306	141	1	in	in	ADP
ejpam-3306	141	2	a	a	DET
ejpam-3306	141	3	similar	similar	ADJ
ejpam-3306	141	4	way	way	NOUN
ejpam-3306	141	5	we	we	PRON
ejpam-3306	141	6	prove	prove	VERB
ejpam-3306	141	7	that	that	SCONJ
ejpam-3306	141	8	{	{	PUNCT
ejpam-3306	141	9	x}∗(g∗y	x}∗(g∗y	NUM
ejpam-3306	141	10	)	)	PUNCT
ejpam-3306	141	11	⊆	⊆	NUM
ejpam-3306	141	12	(	(	PUNCT
ejpam-3306	141	13	x∗g)∗{y	x∗g)∗{y	NOUN
ejpam-3306	141	14	}	}	PUNCT
ejpam-3306	141	15	,	,	PUNCT
ejpam-3306	141	16	and	and	CCONJ
ejpam-3306	141	17	equality	equality	NOUN
ejpam-3306	141	18	holds	hold	VERB
ejpam-3306	141	19	.	.	PUNCT
ejpam-3306	142	1	�	�	PROPN
ejpam-3306	142	2	we	we	PRON
ejpam-3306	142	3	apply	apply	VERB
ejpam-3306	142	4	proposition	proposition	NOUN
ejpam-3306	142	5	3.7	3.7	NUM
ejpam-3306	142	6	to	to	ADP
ejpam-3306	142	7	the	the	DET
ejpam-3306	142	8	following	following	ADJ
ejpam-3306	142	9	example	example	NOUN
ejpam-3306	142	10	example	example	NOUN
ejpam-3306	142	11	3.8	3.8	NUM
ejpam-3306	142	12	.	.	PUNCT
ejpam-3306	143	1	we	we	PRON
ejpam-3306	143	2	consider	consider	VERB
ejpam-3306	143	3	the	the	DET
ejpam-3306	143	4	groupoid	groupoid	NOUN
ejpam-3306	143	5	g	g	PROPN
ejpam-3306	143	6	=	=	PUNCT
ejpam-3306	143	7	{	{	PUNCT
ejpam-3306	143	8	a	a	PRON
ejpam-3306	143	9	,	,	PUNCT
ejpam-3306	143	10	b	b	NOUN
ejpam-3306	143	11	,	,	PUNCT
ejpam-3306	143	12	c	c	NOUN
ejpam-3306	143	13	,	,	PUNCT
ejpam-3306	143	14	d	d	NOUN
ejpam-3306	143	15	}	}	PUNCT
ejpam-3306	143	16	with	with	ADP
ejpam-3306	143	17	the	the	DET
ejpam-3306	143	18	multiplication	multiplication	NOUN
ejpam-3306	143	19	defined	define	VERB
ejpam-3306	143	20	by	by	ADP
ejpam-3306	143	21	the	the	DET
ejpam-3306	143	22	following	follow	VERB
ejpam-3306	143	23	table	table	NOUN
ejpam-3306	143	24	.	.	PUNCT
ejpam-3306	144	1	·	·	PUNCT
ejpam-3306	145	1	a	a	DET
ejpam-3306	145	2	b	b	X
ejpam-3306	145	3	c	c	NOUN
ejpam-3306	145	4	d	d	NOUN
ejpam-3306	145	5	a	a	PRON
ejpam-3306	145	6	a	a	DET
ejpam-3306	145	7	a	a	DET
ejpam-3306	145	8	b	b	PROPN
ejpam-3306	145	9	b	b	PROPN
ejpam-3306	145	10	b	b	PROPN
ejpam-3306	145	11	b	b	PROPN
ejpam-3306	145	12	b	b	PROPN
ejpam-3306	145	13	a	a	DET
ejpam-3306	145	14	a	a	NOUN
ejpam-3306	145	15	c	c	NOUN
ejpam-3306	145	16	c	c	NOUN
ejpam-3306	145	17	c	c	NOUN
ejpam-3306	145	18	d	d	PUNCT
ejpam-3306	145	19	d	d	PROPN
ejpam-3306	145	20	d	d	PROPN
ejpam-3306	145	21	d	d	PROPN
ejpam-3306	145	22	d	d	X
ejpam-3306	145	23	c	c	PROPN
ejpam-3306	145	24	c	c	NOUN
ejpam-3306	145	25	table	table	NOUN
ejpam-3306	145	26	5	5	NUM
ejpam-3306	145	27	.	.	PUNCT
ejpam-3306	146	1	as	as	SCONJ
ejpam-3306	146	2	we	we	PRON
ejpam-3306	146	3	have	have	AUX
ejpam-3306	146	4	seen	see	VERB
ejpam-3306	146	5	in	in	ADP
ejpam-3306	146	6	[	[	X
ejpam-3306	146	7	1	1	NUM
ejpam-3306	146	8	;	;	PUNCT
ejpam-3306	146	9	(	(	PUNCT
ejpam-3306	146	10	1.9	1.9	NUM
ejpam-3306	146	11	)	)	PUNCT
ejpam-3306	146	12	example	example	NOUN
ejpam-3306	146	13	]	]	PUNCT
ejpam-3306	146	14	this	this	PRON
ejpam-3306	146	15	is	be	AUX
ejpam-3306	146	16	a	a	DET
ejpam-3306	146	17	left	left	ADJ
ejpam-3306	146	18	consistent	consistent	ADJ
ejpam-3306	146	19	groupoid	groupoid	NOUN
ejpam-3306	146	20	.	.	PUNCT
ejpam-3306	147	1	if	if	SCONJ
ejpam-3306	147	2	we	we	PRON
ejpam-3306	147	3	remark	remark	VERB
ejpam-3306	147	4	that	that	SCONJ
ejpam-3306	147	5	gx	gx	PROPN
ejpam-3306	147	6	=	=	SYM
ejpam-3306	147	7	g	g	PROPN
ejpam-3306	147	8	for	for	ADP
ejpam-3306	147	9	any	any	DET
ejpam-3306	147	10	x	x	SYM
ejpam-3306	147	11	∈	∈	PROPN
ejpam-3306	147	12	g	g	NOUN
ejpam-3306	147	13	then	then	ADV
ejpam-3306	147	14	,	,	PUNCT
ejpam-3306	147	15	for	for	ADP
ejpam-3306	147	16	any	any	DET
ejpam-3306	147	17	x	x	NOUN
ejpam-3306	147	18	,	,	PUNCT
ejpam-3306	147	19	y	y	PROPN
ejpam-3306	147	20	∈	∈	PROPN
ejpam-3306	147	21	g	g	PROPN
ejpam-3306	147	22	,	,	PUNCT
ejpam-3306	147	23	we	we	PRON
ejpam-3306	147	24	have	have	VERB
ejpam-3306	147	25	g(xy	g(xy	X
ejpam-3306	147	26	)	)	PUNCT
ejpam-3306	147	27	=	=	SYM
ejpam-3306	147	28	g	g	PROPN
ejpam-3306	147	29	and	and	CCONJ
ejpam-3306	147	30	(	(	PUNCT
ejpam-3306	147	31	gx)y	gx)y	PROPN
ejpam-3306	147	32	=	=	PUNCT
ejpam-3306	147	33	gy	gy	PROPN
ejpam-3306	147	34	=	=	PUNCT
ejpam-3306	147	35	g	g	PROPN
ejpam-3306	147	36	,	,	PUNCT
ejpam-3306	147	37	so	so	ADV
ejpam-3306	147	38	g(xy	g(xy	NOUN
ejpam-3306	147	39	)	)	PUNCT
ejpam-3306	147	40	=	=	PUNCT
ejpam-3306	147	41	(	(	PUNCT
ejpam-3306	147	42	gx)y	gx)y	PROPN
ejpam-3306	147	43	and	and	CCONJ
ejpam-3306	147	44	(	(	PUNCT
ejpam-3306	147	45	g	g	NOUN
ejpam-3306	147	46	,	,	PUNCT
ejpam-3306	147	47	·	·	PUNCT
ejpam-3306	147	48	)	)	PUNCT
ejpam-3306	147	49	is	be	AUX
ejpam-3306	147	50	left	leave	VERB
ejpam-3306	147	51	consistent	consistent	ADJ
ejpam-3306	147	52	.	.	PUNCT
ejpam-3306	148	1	applying	apply	VERB
ejpam-3306	148	2	proposition	proposition	NOUN
ejpam-3306	148	3	3.7	3.7	NUM
ejpam-3306	148	4	,	,	PUNCT
ejpam-3306	148	5	the	the	DET
ejpam-3306	148	6	set	set	NOUN
ejpam-3306	148	7	g	g	NOUN
ejpam-3306	148	8	with	with	ADP
ejpam-3306	148	9	the	the	DET
ejpam-3306	148	10	hyperoperation	hyperoperation	NOUN
ejpam-3306	148	11	defined	define	VERB
ejpam-3306	148	12	by	by	ADP
ejpam-3306	148	13	table	table	NOUN
ejpam-3306	148	14	6	6	NUM
ejpam-3306	148	15	is	be	AUX
ejpam-3306	148	16	a	a	DET
ejpam-3306	148	17	left	left	ADJ
ejpam-3306	148	18	consistent	consistent	ADJ
ejpam-3306	148	19	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	148	20	.	.	PUNCT
ejpam-3306	149	1	◦	◦	VERB
ejpam-3306	149	2	a	a	DET
ejpam-3306	149	3	b	b	NOUN
ejpam-3306	149	4	c	c	NOUN
ejpam-3306	149	5	d	d	X
ejpam-3306	149	6	a	a	X
ejpam-3306	149	7	{	{	PUNCT
ejpam-3306	149	8	a	a	NOUN
ejpam-3306	149	9	}	}	PUNCT
ejpam-3306	149	10	{	{	PUNCT
ejpam-3306	149	11	a	a	NOUN
ejpam-3306	149	12	}	}	PUNCT
ejpam-3306	149	13	{	{	PUNCT
ejpam-3306	149	14	b	b	NOUN
ejpam-3306	149	15	}	}	PUNCT
ejpam-3306	149	16	{	{	PUNCT
ejpam-3306	149	17	b	b	NOUN
ejpam-3306	149	18	}	}	PUNCT
ejpam-3306	149	19	b	b	PROPN
ejpam-3306	149	20	{	{	PUNCT
ejpam-3306	149	21	b	b	NOUN
ejpam-3306	149	22	}	}	PUNCT
ejpam-3306	149	23	{	{	PUNCT
ejpam-3306	149	24	b	b	NOUN
ejpam-3306	149	25	}	}	PUNCT
ejpam-3306	149	26	{	{	PUNCT
ejpam-3306	149	27	a	a	NOUN
ejpam-3306	149	28	}	}	PUNCT
ejpam-3306	149	29	{	{	PUNCT
ejpam-3306	149	30	a	a	DET
ejpam-3306	149	31	}	}	PUNCT
ejpam-3306	149	32	c	c	NOUN
ejpam-3306	149	33	{	{	PUNCT
ejpam-3306	149	34	c	c	NOUN
ejpam-3306	149	35	}	}	PUNCT
ejpam-3306	149	36	{	{	PUNCT
ejpam-3306	149	37	c	c	NOUN
ejpam-3306	149	38	}	}	PUNCT
ejpam-3306	149	39	{	{	PUNCT
ejpam-3306	149	40	d	d	NOUN
ejpam-3306	149	41	}	}	PUNCT
ejpam-3306	149	42	{	{	PUNCT
ejpam-3306	149	43	d	d	NOUN
ejpam-3306	149	44	}	}	PUNCT
ejpam-3306	149	45	d	d	NOUN
ejpam-3306	149	46	{	{	PUNCT
ejpam-3306	149	47	d	d	NOUN
ejpam-3306	149	48	}	}	PUNCT
ejpam-3306	149	49	{	{	PUNCT
ejpam-3306	149	50	d	d	NOUN
ejpam-3306	149	51	}	}	PUNCT
ejpam-3306	149	52	{	{	PUNCT
ejpam-3306	149	53	c	c	NOUN
ejpam-3306	149	54	}	}	PUNCT
ejpam-3306	149	55	{	{	PUNCT
ejpam-3306	149	56	c	c	NOUN
ejpam-3306	149	57	}	}	PUNCT
ejpam-3306	149	58	table	table	NOUN
ejpam-3306	149	59	6	6	NUM
ejpam-3306	149	60	.	.	PUNCT
ejpam-3306	150	1	n.	n.	PROPN
ejpam-3306	150	2	kehayopulu	kehayopulu	PROPN
ejpam-3306	150	3	/	/	SYM
ejpam-3306	150	4	eur	eur	PROPN
ejpam-3306	150	5	.	.	PUNCT
ejpam-3306	151	1	j.	j.	PROPN
ejpam-3306	151	2	pure	pure	PROPN
ejpam-3306	151	3	appl	appl	PROPN
ejpam-3306	151	4	.	.	PROPN
ejpam-3306	151	5	math	math	PROPN
ejpam-3306	151	6	,	,	PUNCT
ejpam-3306	151	7	11	11	NUM
ejpam-3306	151	8	(	(	PUNCT
ejpam-3306	151	9	3	3	NUM
ejpam-3306	151	10	)	)	PUNCT
ejpam-3306	151	11	(	(	PUNCT
ejpam-3306	151	12	2018	2018	NUM
ejpam-3306	151	13	)	)	PUNCT
ejpam-3306	151	14	,	,	PUNCT
ejpam-3306	151	15	598	598	NUM
ejpam-3306	151	16	-	-	SYM
ejpam-3306	151	17	611	611	NUM
ejpam-3306	151	18	604	604	NUM
ejpam-3306	151	19	in	in	ADP
ejpam-3306	151	20	addition	addition	NOUN
ejpam-3306	151	21	,	,	PUNCT
ejpam-3306	151	22	this	this	PRON
ejpam-3306	151	23	is	be	AUX
ejpam-3306	151	24	an	an	DET
ejpam-3306	151	25	example	example	NOUN
ejpam-3306	151	26	of	of	ADP
ejpam-3306	151	27	a	a	DET
ejpam-3306	151	28	left	left	ADJ
ejpam-3306	151	29	consistent	consistent	ADJ
ejpam-3306	151	30	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	151	31	which	which	PRON
ejpam-3306	151	32	is	be	AUX
ejpam-3306	151	33	not	not	PART
ejpam-3306	151	34	right	right	ADV
ejpam-3306	151	35	consistent	consistent	ADJ
ejpam-3306	151	36	.	.	PUNCT
ejpam-3306	152	1	in	in	ADP
ejpam-3306	152	2	fact	fact	NOUN
ejpam-3306	152	3	,	,	PUNCT
ejpam-3306	152	4	we	we	PRON
ejpam-3306	152	5	have	have	VERB
ejpam-3306	152	6	(	(	PUNCT
ejpam-3306	152	7	b	b	X
ejpam-3306	152	8	◦	◦	NOUN
ejpam-3306	152	9	d	d	NOUN
ejpam-3306	152	10	)	)	PUNCT
ejpam-3306	152	11	∗g	∗g	NOUN
ejpam-3306	152	12	=	=	PUNCT
ejpam-3306	152	13	{	{	PUNCT
ejpam-3306	152	14	a	a	PRON
ejpam-3306	152	15	,	,	PUNCT
ejpam-3306	152	16	b	b	NOUN
ejpam-3306	152	17	}	}	PUNCT
ejpam-3306	152	18	but	but	CCONJ
ejpam-3306	152	19	{	{	PUNCT
ejpam-3306	152	20	b	b	NOUN
ejpam-3306	152	21	}	}	PUNCT
ejpam-3306	152	22	∗	∗	NOUN
ejpam-3306	152	23	(	(	PUNCT
ejpam-3306	152	24	d	d	NOUN
ejpam-3306	152	25	∗g	∗g	ADV
ejpam-3306	152	26	)	)	PUNCT
ejpam-3306	152	27	=	=	PRON
ejpam-3306	152	28	{	{	PUNCT
ejpam-3306	152	29	a	a	X
ejpam-3306	152	30	}	}	PUNCT
ejpam-3306	152	31	.	.	PUNCT
ejpam-3306	153	1	by	by	ADP
ejpam-3306	153	2	interchanging	interchange	VERB
ejpam-3306	153	3	rows	row	NOUN
ejpam-3306	153	4	and	and	CCONJ
ejpam-3306	153	5	columns	column	NOUN
ejpam-3306	153	6	in	in	ADP
ejpam-3306	153	7	table	table	NOUN
ejpam-3306	153	8	5	5	NUM
ejpam-3306	153	9	we	we	PRON
ejpam-3306	153	10	get	get	VERB
ejpam-3306	153	11	the	the	DET
ejpam-3306	153	12	groupoid	groupoid	NOUN
ejpam-3306	153	13	(	(	PUNCT
ejpam-3306	153	14	g	g	NOUN
ejpam-3306	153	15	,	,	PUNCT
ejpam-3306	153	16	·	·	PUNCT
ejpam-3306	153	17	)	)	PUNCT
ejpam-3306	153	18	given	give	VERB
ejpam-3306	153	19	by	by	ADP
ejpam-3306	153	20	the	the	DET
ejpam-3306	153	21	following	follow	VERB
ejpam-3306	153	22	table	table	NOUN
ejpam-3306	153	23	7	7	NUM
ejpam-3306	153	24	.	.	PUNCT
ejpam-3306	153	25	·	·	PUNCT
ejpam-3306	154	1	a	a	DET
ejpam-3306	154	2	b	b	X
ejpam-3306	154	3	c	c	NOUN
ejpam-3306	154	4	d	d	NOUN
ejpam-3306	154	5	a	a	PRON
ejpam-3306	154	6	a	a	DET
ejpam-3306	154	7	b	b	NOUN
ejpam-3306	154	8	c	c	NOUN
ejpam-3306	154	9	d	d	PROPN
ejpam-3306	154	10	b	b	PROPN
ejpam-3306	154	11	a	a	DET
ejpam-3306	154	12	b	b	NOUN
ejpam-3306	154	13	c	c	NOUN
ejpam-3306	154	14	d	d	NOUN
ejpam-3306	154	15	c	c	PROPN
ejpam-3306	154	16	b	b	PROPN
ejpam-3306	154	17	a	a	X
ejpam-3306	154	18	d	d	X
ejpam-3306	154	19	c	c	NOUN
ejpam-3306	154	20	d	d	PROPN
ejpam-3306	154	21	b	b	PROPN
ejpam-3306	154	22	a	a	DET
ejpam-3306	154	23	d	d	X
ejpam-3306	154	24	c	c	PROPN
ejpam-3306	154	25	table	table	NOUN
ejpam-3306	154	26	7	7	NUM
ejpam-3306	154	27	.	.	PUNCT
ejpam-3306	155	1	we	we	PRON
ejpam-3306	155	2	have	have	VERB
ejpam-3306	155	3	xg	xg	NOUN
ejpam-3306	155	4	=	=	SYM
ejpam-3306	155	5	g	g	PROPN
ejpam-3306	155	6	for	for	ADP
ejpam-3306	155	7	any	any	DET
ejpam-3306	155	8	x	x	SYM
ejpam-3306	155	9	∈	∈	PROPN
ejpam-3306	155	10	g.	g.	NOUN
ejpam-3306	155	11	thus	thus	ADV
ejpam-3306	155	12	,	,	PUNCT
ejpam-3306	155	13	for	for	ADP
ejpam-3306	155	14	any	any	DET
ejpam-3306	155	15	x	x	NOUN
ejpam-3306	155	16	,	,	PUNCT
ejpam-3306	155	17	y	y	PROPN
ejpam-3306	155	18	∈	∈	PROPN
ejpam-3306	155	19	g	g	PROPN
ejpam-3306	155	20	,	,	PUNCT
ejpam-3306	155	21	we	we	PRON
ejpam-3306	155	22	have	have	VERB
ejpam-3306	155	23	(	(	PUNCT
ejpam-3306	155	24	xy)g	xy)g	PROPN
ejpam-3306	155	25	=	=	SYM
ejpam-3306	155	26	g	g	PROPN
ejpam-3306	155	27	and	and	CCONJ
ejpam-3306	155	28	x(yg	x(yg	NUM
ejpam-3306	155	29	)	)	PUNCT
ejpam-3306	156	1	=	=	SYM
ejpam-3306	156	2	xg	xg	PROPN
ejpam-3306	157	1	=	=	PROPN
ejpam-3306	158	1	g.	g.	PROPN
ejpam-3306	159	1	then	then	ADV
ejpam-3306	159	2	we	we	PRON
ejpam-3306	159	3	have	have	VERB
ejpam-3306	159	4	(	(	PUNCT
ejpam-3306	159	5	xy)g	xy)g	PROPN
ejpam-3306	159	6	=	=	SYM
ejpam-3306	159	7	x(yg	x(yg	PROPN
ejpam-3306	159	8	)	)	PUNCT
ejpam-3306	159	9	,	,	PUNCT
ejpam-3306	159	10	and	and	CCONJ
ejpam-3306	159	11	g	g	NOUN
ejpam-3306	159	12	is	be	AUX
ejpam-3306	159	13	right	right	ADV
ejpam-3306	159	14	consistent	consistent	ADJ
ejpam-3306	159	15	(	(	PUNCT
ejpam-3306	159	16	cf	cf	NOUN
ejpam-3306	159	17	.	.	PUNCT
ejpam-3306	160	1	also	also	ADV
ejpam-3306	160	2	[	[	X
ejpam-3306	160	3	1	1	NUM
ejpam-3306	160	4	]	]	PUNCT
ejpam-3306	160	5	)	)	PUNCT
ejpam-3306	160	6	.	.	PUNCT
ejpam-3306	161	1	by	by	ADP
ejpam-3306	161	2	proposition	proposition	NOUN
ejpam-3306	161	3	3.7	3.7	NUM
ejpam-3306	161	4	,	,	PUNCT
ejpam-3306	161	5	the	the	DET
ejpam-3306	161	6	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	161	7	(	(	PUNCT
ejpam-3306	161	8	g	g	NOUN
ejpam-3306	161	9	,	,	PUNCT
ejpam-3306	161	10	◦	◦	NOUN
ejpam-3306	161	11	)	)	PUNCT
ejpam-3306	161	12	given	give	VERB
ejpam-3306	161	13	by	by	ADP
ejpam-3306	161	14	table	table	NOUN
ejpam-3306	161	15	8	8	NUM
ejpam-3306	161	16	is	be	AUX
ejpam-3306	161	17	right	right	ADV
ejpam-3306	161	18	consistent	consistent	ADJ
ejpam-3306	161	19	.	.	PUNCT
ejpam-3306	162	1	◦	◦	VERB
ejpam-3306	162	2	a	a	DET
ejpam-3306	162	3	b	b	NOUN
ejpam-3306	162	4	c	c	NOUN
ejpam-3306	162	5	d	d	X
ejpam-3306	162	6	a	a	X
ejpam-3306	162	7	{	{	PUNCT
ejpam-3306	162	8	a	a	NOUN
ejpam-3306	162	9	}	}	PUNCT
ejpam-3306	162	10	{	{	PUNCT
ejpam-3306	162	11	b	b	NOUN
ejpam-3306	162	12	}	}	PUNCT
ejpam-3306	162	13	{	{	PUNCT
ejpam-3306	162	14	c	c	NOUN
ejpam-3306	162	15	}	}	PUNCT
ejpam-3306	162	16	{	{	PUNCT
ejpam-3306	162	17	d	d	NOUN
ejpam-3306	162	18	}	}	PUNCT
ejpam-3306	162	19	b	b	PROPN
ejpam-3306	162	20	{	{	PUNCT
ejpam-3306	162	21	a	a	NOUN
ejpam-3306	162	22	}	}	PUNCT
ejpam-3306	162	23	{	{	PUNCT
ejpam-3306	162	24	b	b	NOUN
ejpam-3306	162	25	}	}	PUNCT
ejpam-3306	162	26	{	{	PUNCT
ejpam-3306	162	27	c	c	NOUN
ejpam-3306	162	28	}	}	PUNCT
ejpam-3306	162	29	{	{	PUNCT
ejpam-3306	162	30	d	d	NOUN
ejpam-3306	162	31	}	}	PUNCT
ejpam-3306	162	32	c	c	NOUN
ejpam-3306	162	33	{	{	PUNCT
ejpam-3306	162	34	b	b	NOUN
ejpam-3306	162	35	}	}	PUNCT
ejpam-3306	162	36	{	{	PUNCT
ejpam-3306	162	37	a	a	NOUN
ejpam-3306	162	38	}	}	PUNCT
ejpam-3306	162	39	{	{	PUNCT
ejpam-3306	162	40	d	d	NOUN
ejpam-3306	162	41	}	}	PUNCT
ejpam-3306	162	42	{	{	PUNCT
ejpam-3306	162	43	c	c	NOUN
ejpam-3306	162	44	}	}	PUNCT
ejpam-3306	162	45	d	d	NOUN
ejpam-3306	162	46	{	{	PUNCT
ejpam-3306	162	47	b	b	NOUN
ejpam-3306	162	48	}	}	PUNCT
ejpam-3306	162	49	{	{	PUNCT
ejpam-3306	162	50	a	a	NOUN
ejpam-3306	162	51	}	}	PUNCT
ejpam-3306	162	52	{	{	PUNCT
ejpam-3306	162	53	d	d	NOUN
ejpam-3306	162	54	}	}	PUNCT
ejpam-3306	162	55	{	{	PUNCT
ejpam-3306	162	56	c	c	NOUN
ejpam-3306	162	57	}	}	PUNCT
ejpam-3306	162	58	table	table	NOUN
ejpam-3306	162	59	8	8	NUM
ejpam-3306	162	60	.	.	PUNCT
ejpam-3306	163	1	but	but	CCONJ
ejpam-3306	163	2	this	this	PRON
ejpam-3306	163	3	is	be	AUX
ejpam-3306	163	4	not	not	PART
ejpam-3306	163	5	left	leave	VERB
ejpam-3306	163	6	consistent	consistent	ADJ
ejpam-3306	163	7	as	as	ADP
ejpam-3306	163	8	g	g	PROPN
ejpam-3306	163	9	∗	∗	NOUN
ejpam-3306	163	10	(	(	PUNCT
ejpam-3306	163	11	b	b	X
ejpam-3306	163	12	◦	◦	NOUN
ejpam-3306	163	13	d	d	NOUN
ejpam-3306	163	14	)	)	PUNCT
ejpam-3306	163	15	=	=	SYM
ejpam-3306	163	16	{	{	PUNCT
ejpam-3306	163	17	c	c	X
ejpam-3306	163	18	,	,	PUNCT
ejpam-3306	163	19	d	d	NOUN
ejpam-3306	163	20	}	}	PUNCT
ejpam-3306	163	21	and	and	CCONJ
ejpam-3306	163	22	(	(	PUNCT
ejpam-3306	163	23	g	g	PROPN
ejpam-3306	163	24	∗	∗	PRON
ejpam-3306	163	25	b	b	NOUN
ejpam-3306	163	26	)	)	PUNCT
ejpam-3306	163	27	∗	∗	NOUN
ejpam-3306	163	28	{	{	PUNCT
ejpam-3306	163	29	d	d	NOUN
ejpam-3306	163	30	}	}	PUNCT
ejpam-3306	163	31	=	=	PUNCT
ejpam-3306	163	32	{	{	PUNCT
ejpam-3306	163	33	d	d	NOUN
ejpam-3306	163	34	}	}	PUNCT
ejpam-3306	163	35	.	.	PUNCT
ejpam-3306	164	1	the	the	DET
ejpam-3306	164	2	reader	reader	NOUN
ejpam-3306	164	3	can	can	AUX
ejpam-3306	164	4	check	check	VERB
ejpam-3306	164	5	16	16	NUM
ejpam-3306	164	6	cases	case	NOUN
ejpam-3306	164	7	(	(	PUNCT
ejpam-3306	164	8	or	or	CCONJ
ejpam-3306	164	9	better	well	ADV
ejpam-3306	164	10	write	write	VERB
ejpam-3306	164	11	a	a	DET
ejpam-3306	164	12	program	program	NOUN
ejpam-3306	164	13	for	for	ADP
ejpam-3306	164	14	similar	similar	ADJ
ejpam-3306	164	15	cases	case	NOUN
ejpam-3306	164	16	)	)	PUNCT
ejpam-3306	164	17	to	to	PART
ejpam-3306	164	18	see	see	VERB
ejpam-3306	164	19	that	that	SCONJ
ejpam-3306	164	20	the	the	DET
ejpam-3306	164	21	groupoids	groupoid	NOUN
ejpam-3306	164	22	given	give	VERB
ejpam-3306	164	23	by	by	ADP
ejpam-3306	164	24	tables	table	NOUN
ejpam-3306	164	25	5	5	NUM
ejpam-3306	164	26	and	and	CCONJ
ejpam-3306	164	27	7	7	NUM
ejpam-3306	164	28	are	be	AUX
ejpam-3306	164	29	intra	intra	ADJ
ejpam-3306	164	30	-	-	ADJ
ejpam-3306	164	31	consistent	consistent	ADJ
ejpam-3306	164	32	(	(	PUNCT
ejpam-3306	164	33	cf	cf	NOUN
ejpam-3306	164	34	.	.	PUNCT
ejpam-3306	165	1	[	[	X
ejpam-3306	165	2	1	1	NUM
ejpam-3306	165	3	]	]	PUNCT
ejpam-3306	165	4	)	)	PUNCT
ejpam-3306	165	5	.	.	PUNCT
ejpam-3306	166	1	by	by	ADP
ejpam-3306	166	2	proposition	proposition	NOUN
ejpam-3306	166	3	3.7	3.7	NUM
ejpam-3306	166	4	,	,	PUNCT
ejpam-3306	166	5	the	the	DET
ejpam-3306	166	6	hypergroupoids	hypergroupoid	NOUN
ejpam-3306	166	7	defined	define	VERB
ejpam-3306	166	8	by	by	ADP
ejpam-3306	166	9	tables	table	NOUN
ejpam-3306	166	10	6	6	NUM
ejpam-3306	166	11	and	and	CCONJ
ejpam-3306	166	12	8	8	NUM
ejpam-3306	166	13	are	be	AUX
ejpam-3306	166	14	intra	intra	ADJ
ejpam-3306	166	15	-	-	ADJ
ejpam-3306	166	16	consistent	consistent	ADJ
ejpam-3306	166	17	as	as	ADV
ejpam-3306	166	18	well	well	ADV
ejpam-3306	166	19	.	.	PUNCT
ejpam-3306	167	1	proposition	proposition	NOUN
ejpam-3306	167	2	3.9	3.9	NUM
ejpam-3306	167	3	.	.	PUNCT
ejpam-3306	168	1	let	let	VERB
ejpam-3306	168	2	h	h	PRON
ejpam-3306	168	3	be	be	AUX
ejpam-3306	168	4	a	a	DET
ejpam-3306	168	5	right	right	ADV
ejpam-3306	168	6	consistent	consistent	ADJ
ejpam-3306	168	7	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	168	8	and	and	CCONJ
ejpam-3306	168	9	arb	arb	PROPN
ejpam-3306	168	10	.	.	PUNCT
ejpam-3306	169	1	then	then	ADV
ejpam-3306	169	2	(	(	PUNCT
ejpam-3306	169	3	a	a	DET
ejpam-3306	169	4	∗h	∗h	NOUN
ejpam-3306	169	5	)	)	PUNCT
ejpam-3306	169	6	∪	∪	NOUN
ejpam-3306	169	7	{	{	PUNCT
ejpam-3306	169	8	a	a	NOUN
ejpam-3306	169	9	}	}	PUNCT
ejpam-3306	169	10	=	=	SYM
ejpam-3306	169	11	(	(	PUNCT
ejpam-3306	169	12	b	b	NOUN
ejpam-3306	169	13	∗h	∗h	NOUN
ejpam-3306	169	14	)	)	PUNCT
ejpam-3306	169	15	∪	∪	NOUN
ejpam-3306	169	16	{	{	PUNCT
ejpam-3306	169	17	b	b	NOUN
ejpam-3306	169	18	}	}	PUNCT
ejpam-3306	169	19	(	(	PUNCT
ejpam-3306	169	20	∗	∗	NOUN
ejpam-3306	169	21	)	)	PUNCT
ejpam-3306	169	22	proof	proof	NOUN
ejpam-3306	169	23	.	.	PUNCT
ejpam-3306	170	1	for	for	ADP
ejpam-3306	170	2	a	a	DET
ejpam-3306	170	3	=	=	SYM
ejpam-3306	170	4	b	b	PROPN
ejpam-3306	170	5	the	the	DET
ejpam-3306	170	6	relation	relation	NOUN
ejpam-3306	170	7	(	(	PUNCT
ejpam-3306	170	8	∗	∗	NOUN
ejpam-3306	170	9	)	)	PUNCT
ejpam-3306	170	10	holds	hold	VERB
ejpam-3306	170	11	.	.	PUNCT
ejpam-3306	171	1	if	if	SCONJ
ejpam-3306	171	2	a	a	DET
ejpam-3306	171	3	6=	6=	SYM
ejpam-3306	171	4	b	b	NOUN
ejpam-3306	171	5	,	,	PUNCT
ejpam-3306	171	6	then	then	ADV
ejpam-3306	171	7	there	there	PRON
ejpam-3306	171	8	exist	exist	VERB
ejpam-3306	171	9	x	x	NOUN
ejpam-3306	171	10	,	,	PUNCT
ejpam-3306	171	11	y	y	PROPN
ejpam-3306	171	12	∈	∈	PROPN
ejpam-3306	171	13	h	h	NOUN
ejpam-3306	171	14	such	such	ADJ
ejpam-3306	171	15	that	that	SCONJ
ejpam-3306	171	16	a	a	DET
ejpam-3306	171	17	∈	∈	PROPN
ejpam-3306	171	18	b	b	NOUN
ejpam-3306	171	19	◦	◦	NOUN
ejpam-3306	171	20	x	x	X
ejpam-3306	171	21	and	and	CCONJ
ejpam-3306	171	22	b	b	X
ejpam-3306	171	23	∈	∈	PROPN
ejpam-3306	171	24	a	a	DET
ejpam-3306	171	25	◦	◦	NOUN
ejpam-3306	171	26	y.	y.	NOUN
ejpam-3306	171	27	then	then	ADV
ejpam-3306	171	28	we	we	PRON
ejpam-3306	171	29	have	have	VERB
ejpam-3306	171	30	a	a	DET
ejpam-3306	171	31	∗h	∗h	NOUN
ejpam-3306	171	32	=	=	SYM
ejpam-3306	171	33	b	b	NOUN
ejpam-3306	171	34	∗h	∗h	NOUN
ejpam-3306	171	35	.	.	PUNCT
ejpam-3306	172	1	indeed	indeed	ADV
ejpam-3306	172	2	:	:	PUNCT
ejpam-3306	172	3	a	a	DET
ejpam-3306	172	4	∗h	∗h	NOUN
ejpam-3306	172	5	⊆	⊆	NUM
ejpam-3306	172	6	(	(	PUNCT
ejpam-3306	172	7	b	b	NOUN
ejpam-3306	172	8	◦	◦	NOUN
ejpam-3306	172	9	x	x	NOUN
ejpam-3306	172	10	)	)	PUNCT
ejpam-3306	172	11	∗h	∗h	NOUN
ejpam-3306	172	12	=	=	SYM
ejpam-3306	172	13	{	{	PUNCT
ejpam-3306	172	14	b	b	NOUN
ejpam-3306	172	15	}	}	PUNCT
ejpam-3306	172	16	∗	∗	NOUN
ejpam-3306	172	17	(	(	PUNCT
ejpam-3306	172	18	x	x	NOUN
ejpam-3306	172	19	∗h	∗h	NOUN
ejpam-3306	172	20	)	)	PUNCT
ejpam-3306	172	21	(	(	PUNCT
ejpam-3306	172	22	since	since	SCONJ
ejpam-3306	172	23	h	h	NOUN
ejpam-3306	172	24	is	be	AUX
ejpam-3306	172	25	right	right	ADV
ejpam-3306	172	26	consistent	consistent	ADJ
ejpam-3306	172	27	)	)	PUNCT
ejpam-3306	172	28	⊆	⊆	NUM
ejpam-3306	172	29	{	{	PUNCT
ejpam-3306	172	30	b	b	NOUN
ejpam-3306	172	31	}	}	PUNCT
ejpam-3306	172	32	∗h	∗h	NOUN
ejpam-3306	172	33	(	(	PUNCT
ejpam-3306	172	34	since	since	SCONJ
ejpam-3306	172	35	x	x	SYM
ejpam-3306	172	36	∈	∈	PROPN
ejpam-3306	172	37	h	h	NOUN
ejpam-3306	172	38	and	and	CCONJ
ejpam-3306	172	39	h	h	NOUN
ejpam-3306	172	40	∗h	∗h	VERB
ejpam-3306	172	41	⊆	⊆	NUM
ejpam-3306	172	42	h	h	NOUN
ejpam-3306	172	43	)	)	PUNCT
ejpam-3306	172	44	⊆	⊆	NUM
ejpam-3306	172	45	(	(	PUNCT
ejpam-3306	172	46	a	a	DET
ejpam-3306	172	47	◦	◦	NOUN
ejpam-3306	172	48	y	y	NOUN
ejpam-3306	172	49	)	)	PUNCT
ejpam-3306	172	50	∗h	∗h	NOUN
ejpam-3306	172	51	=	=	SYM
ejpam-3306	172	52	{	{	PUNCT
ejpam-3306	172	53	a	a	PRON
ejpam-3306	172	54	}	}	PUNCT
ejpam-3306	172	55	∗	∗	NOUN
ejpam-3306	172	56	(	(	PUNCT
ejpam-3306	172	57	y	y	NOUN
ejpam-3306	172	58	∗h	∗h	PROPN
ejpam-3306	172	59	)	)	PUNCT
ejpam-3306	172	60	(	(	PUNCT
ejpam-3306	172	61	since	since	SCONJ
ejpam-3306	172	62	h	h	NOUN
ejpam-3306	172	63	is	be	AUX
ejpam-3306	172	64	right	right	ADV
ejpam-3306	172	65	consistent	consistent	ADJ
ejpam-3306	172	66	)	)	PUNCT
ejpam-3306	172	67	⊆	⊆	NUM
ejpam-3306	172	68	{	{	PUNCT
ejpam-3306	172	69	a	a	DET
ejpam-3306	172	70	}	}	PUNCT
ejpam-3306	172	71	∗h	∗h	NOUN
ejpam-3306	172	72	(	(	PUNCT
ejpam-3306	172	73	since	since	SCONJ
ejpam-3306	172	74	y	y	PROPN
ejpam-3306	172	75	∈	∈	PROPN
ejpam-3306	172	76	h	h	NOUN
ejpam-3306	172	77	and	and	CCONJ
ejpam-3306	172	78	h	h	NOUN
ejpam-3306	172	79	∗h	∗h	VERB
ejpam-3306	172	80	⊆	⊆	NUM
ejpam-3306	172	81	h	h	NOUN
ejpam-3306	172	82	)	)	PUNCT
ejpam-3306	172	83	.	.	PUNCT
ejpam-3306	173	1	and	and	CCONJ
ejpam-3306	173	2	so	so	ADV
ejpam-3306	173	3	a	a	DET
ejpam-3306	173	4	∗h	∗h	NOUN
ejpam-3306	173	5	=	=	SYM
ejpam-3306	173	6	b	b	NOUN
ejpam-3306	173	7	∗h	∗h	NOUN
ejpam-3306	173	8	.	.	PUNCT
ejpam-3306	174	1	hence	hence	ADV
ejpam-3306	174	2	we	we	PRON
ejpam-3306	174	3	obtain	obtain	VERB
ejpam-3306	174	4	(	(	PUNCT
ejpam-3306	174	5	a	a	DET
ejpam-3306	174	6	∗h	∗h	NOUN
ejpam-3306	174	7	)	)	PUNCT
ejpam-3306	174	8	∪	∪	NOUN
ejpam-3306	174	9	{	{	PUNCT
ejpam-3306	174	10	a	a	NOUN
ejpam-3306	174	11	}	}	PUNCT
ejpam-3306	174	12	=	=	SYM
ejpam-3306	174	13	(	(	PUNCT
ejpam-3306	174	14	b	b	NOUN
ejpam-3306	174	15	∗h	∗h	NOUN
ejpam-3306	174	16	)	)	PUNCT
ejpam-3306	174	17	∪	∪	NOUN
ejpam-3306	174	18	{	{	PUNCT
ejpam-3306	174	19	a	a	PRON
ejpam-3306	174	20	}	}	PUNCT
ejpam-3306	174	21	⊆	⊆	NUM
ejpam-3306	174	22	(	(	PUNCT
ejpam-3306	174	23	b	b	NOUN
ejpam-3306	174	24	∗h	∗h	NOUN
ejpam-3306	174	25	)	)	PUNCT
ejpam-3306	174	26	∪	∪	NOUN
ejpam-3306	174	27	(	(	PUNCT
ejpam-3306	174	28	b	b	NOUN
ejpam-3306	174	29	∗h	∗h	NOUN
ejpam-3306	174	30	)	)	PUNCT
ejpam-3306	174	31	(	(	PUNCT
ejpam-3306	174	32	since	since	SCONJ
ejpam-3306	174	33	a	a	DET
ejpam-3306	174	34	∈	∈	PROPN
ejpam-3306	174	35	b	b	NOUN
ejpam-3306	174	36	◦	◦	NOUN
ejpam-3306	174	37	x	x	NOUN
ejpam-3306	174	38	)	)	PUNCT
ejpam-3306	175	1	=	=	SYM
ejpam-3306	175	2	b	b	NOUN
ejpam-3306	175	3	∗h	∗h	VERB
ejpam-3306	175	4	⊆	⊆	NUM
ejpam-3306	175	5	(	(	PUNCT
ejpam-3306	175	6	b	b	NOUN
ejpam-3306	175	7	∗h	∗h	NOUN
ejpam-3306	175	8	)	)	PUNCT
ejpam-3306	175	9	∪	∪	NOUN
ejpam-3306	175	10	{	{	PUNCT
ejpam-3306	175	11	b	b	NOUN
ejpam-3306	175	12	}	}	PUNCT
ejpam-3306	175	13	n.	n.	NOUN
ejpam-3306	175	14	kehayopulu	kehayopulu	PROPN
ejpam-3306	175	15	/	/	SYM
ejpam-3306	175	16	eur	eur	PROPN
ejpam-3306	175	17	.	.	PUNCT
ejpam-3306	176	1	j.	j.	PROPN
ejpam-3306	176	2	pure	pure	PROPN
ejpam-3306	176	3	appl	appl	PROPN
ejpam-3306	176	4	.	.	PROPN
ejpam-3306	176	5	math	math	PROPN
ejpam-3306	176	6	,	,	PUNCT
ejpam-3306	176	7	11	11	NUM
ejpam-3306	176	8	(	(	PUNCT
ejpam-3306	176	9	3	3	NUM
ejpam-3306	176	10	)	)	PUNCT
ejpam-3306	176	11	(	(	PUNCT
ejpam-3306	176	12	2018	2018	NUM
ejpam-3306	176	13	)	)	PUNCT
ejpam-3306	176	14	,	,	PUNCT
ejpam-3306	176	15	598	598	NUM
ejpam-3306	176	16	-	-	SYM
ejpam-3306	176	17	611	611	NUM
ejpam-3306	176	18	605	605	NUM
ejpam-3306	176	19	and	and	CCONJ
ejpam-3306	176	20	(	(	PUNCT
ejpam-3306	176	21	b	b	NOUN
ejpam-3306	176	22	∗h	∗h	NOUN
ejpam-3306	176	23	)	)	PUNCT
ejpam-3306	176	24	∪	∪	NOUN
ejpam-3306	176	25	{	{	PUNCT
ejpam-3306	176	26	b	b	NOUN
ejpam-3306	176	27	}	}	PUNCT
ejpam-3306	176	28	=	=	SYM
ejpam-3306	176	29	(	(	PUNCT
ejpam-3306	176	30	a	a	DET
ejpam-3306	176	31	∗h	∗h	NOUN
ejpam-3306	176	32	)	)	PUNCT
ejpam-3306	176	33	∪	∪	NOUN
ejpam-3306	176	34	{	{	PUNCT
ejpam-3306	176	35	b	b	NOUN
ejpam-3306	176	36	}	}	PUNCT
ejpam-3306	176	37	⊆	⊆	NUM
ejpam-3306	176	38	(	(	PUNCT
ejpam-3306	176	39	a	a	DET
ejpam-3306	176	40	∗h	∗h	NOUN
ejpam-3306	176	41	)	)	PUNCT
ejpam-3306	176	42	∪	∪	NOUN
ejpam-3306	176	43	(	(	PUNCT
ejpam-3306	176	44	a	a	DET
ejpam-3306	176	45	∗h	∗h	NOUN
ejpam-3306	176	46	)	)	PUNCT
ejpam-3306	176	47	=	=	PUNCT
ejpam-3306	177	1	a	a	DET
ejpam-3306	177	2	∗h	∗h	NOUN
ejpam-3306	177	3	⊆	⊆	NUM
ejpam-3306	177	4	(	(	PUNCT
ejpam-3306	177	5	a	a	DET
ejpam-3306	177	6	∗h	∗h	NOUN
ejpam-3306	177	7	)	)	PUNCT
ejpam-3306	177	8	∪	∪	NOUN
ejpam-3306	177	9	{	{	PUNCT
ejpam-3306	177	10	a	a	NOUN
ejpam-3306	177	11	}	}	PUNCT
ejpam-3306	177	12	,	,	PUNCT
ejpam-3306	177	13	and	and	CCONJ
ejpam-3306	177	14	then	then	ADV
ejpam-3306	177	15	(	(	PUNCT
ejpam-3306	177	16	a	a	DET
ejpam-3306	177	17	∗h	∗h	NOUN
ejpam-3306	177	18	)	)	PUNCT
ejpam-3306	177	19	∪	∪	NOUN
ejpam-3306	177	20	{	{	PUNCT
ejpam-3306	177	21	a	a	NOUN
ejpam-3306	177	22	}	}	PUNCT
ejpam-3306	177	23	=	=	SYM
ejpam-3306	177	24	(	(	PUNCT
ejpam-3306	177	25	b	b	NOUN
ejpam-3306	177	26	∗h	∗h	NOUN
ejpam-3306	177	27	)	)	PUNCT
ejpam-3306	177	28	∪	∪	NOUN
ejpam-3306	177	29	{	{	PUNCT
ejpam-3306	177	30	b	b	NOUN
ejpam-3306	177	31	}	}	PUNCT
ejpam-3306	177	32	.	.	PUNCT
ejpam-3306	178	1	�	�	PROPN
ejpam-3306	178	2	in	in	ADP
ejpam-3306	178	3	a	a	DET
ejpam-3306	178	4	similar	similar	ADJ
ejpam-3306	178	5	way	way	NOUN
ejpam-3306	178	6	the	the	DET
ejpam-3306	178	7	following	follow	VERB
ejpam-3306	178	8	proposition	proposition	NOUN
ejpam-3306	178	9	holds	hold	VERB
ejpam-3306	178	10	proposition	proposition	NOUN
ejpam-3306	178	11	3.10	3.10	NUM
ejpam-3306	178	12	.	.	PUNCT
ejpam-3306	179	1	if	if	SCONJ
ejpam-3306	179	2	h	h	NOUN
ejpam-3306	179	3	is	be	AUX
ejpam-3306	179	4	a	a	DET
ejpam-3306	179	5	left	left	ADJ
ejpam-3306	179	6	consistent	consistent	ADJ
ejpam-3306	179	7	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	179	8	and	and	CCONJ
ejpam-3306	179	9	alb	alb	VERB
ejpam-3306	179	10	,	,	PUNCT
ejpam-3306	179	11	then	then	ADV
ejpam-3306	179	12	(	(	PUNCT
ejpam-3306	179	13	h	h	NOUN
ejpam-3306	179	14	∗	∗	PROPN
ejpam-3306	179	15	a	a	NOUN
ejpam-3306	179	16	)	)	PUNCT
ejpam-3306	179	17	∪	∪	X
ejpam-3306	179	18	{	{	PUNCT
ejpam-3306	179	19	a	a	NOUN
ejpam-3306	179	20	}	}	PUNCT
ejpam-3306	179	21	=	=	SYM
ejpam-3306	179	22	(	(	PUNCT
ejpam-3306	179	23	h	h	NOUN
ejpam-3306	179	24	∗	∗	NOUN
ejpam-3306	179	25	b	b	NOUN
ejpam-3306	179	26	)	)	PUNCT
ejpam-3306	179	27	∪	∪	ADP
ejpam-3306	179	28	{	{	PUNCT
ejpam-3306	179	29	b	b	NOUN
ejpam-3306	179	30	}	}	PUNCT
ejpam-3306	179	31	(	(	PUNCT
ejpam-3306	179	32	∗	∗	NOUN
ejpam-3306	179	33	)	)	PUNCT
ejpam-3306	179	34	by	by	ADP
ejpam-3306	179	35	propositions	proposition	NOUN
ejpam-3306	179	36	2.2	2.2	NUM
ejpam-3306	179	37	,	,	PUNCT
ejpam-3306	179	38	3.9	3.9	NUM
ejpam-3306	179	39	and	and	CCONJ
ejpam-3306	179	40	3.10	3.10	NUM
ejpam-3306	179	41	we	we	PRON
ejpam-3306	179	42	have	have	VERB
ejpam-3306	179	43	the	the	DET
ejpam-3306	179	44	following	follow	VERB
ejpam-3306	179	45	corollary	corollary	NOUN
ejpam-3306	179	46	3.11	3.11	NUM
ejpam-3306	179	47	.	.	PUNCT
ejpam-3306	180	1	if	if	SCONJ
ejpam-3306	180	2	h	h	NOUN
ejpam-3306	180	3	is	be	AUX
ejpam-3306	180	4	a	a	DET
ejpam-3306	180	5	right	right	ADJ
ejpam-3306	180	6	(	(	PUNCT
ejpam-3306	180	7	resp	resp	NOUN
ejpam-3306	180	8	.	.	PUNCT
ejpam-3306	181	1	left	leave	VERB
ejpam-3306	181	2	)	)	PUNCT
ejpam-3306	181	3	consistent	consistent	ADJ
ejpam-3306	181	4	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	181	5	then	then	ADV
ejpam-3306	181	6	,	,	PUNCT
ejpam-3306	181	7	for	for	ADP
ejpam-3306	181	8	every	every	DET
ejpam-3306	181	9	a	a	PROPN
ejpam-3306	181	10	,	,	PUNCT
ejpam-3306	181	11	b	b	X
ejpam-3306	181	12	∈	∈	PROPN
ejpam-3306	181	13	h	h	NOUN
ejpam-3306	181	14	,	,	PUNCT
ejpam-3306	181	15	we	we	PRON
ejpam-3306	181	16	have	have	VERB
ejpam-3306	181	17	arb	arb	NOUN
ejpam-3306	181	18	if	if	SCONJ
ejpam-3306	182	1	and	and	CCONJ
ejpam-3306	182	2	only	only	ADV
ejpam-3306	182	3	if	if	SCONJ
ejpam-3306	182	4	(	(	PUNCT
ejpam-3306	182	5	a	a	DET
ejpam-3306	182	6	∗h	∗h	NOUN
ejpam-3306	182	7	)	)	PUNCT
ejpam-3306	182	8	∪	∪	NOUN
ejpam-3306	182	9	{	{	PUNCT
ejpam-3306	182	10	a	a	NOUN
ejpam-3306	182	11	}	}	PUNCT
ejpam-3306	182	12	=	=	SYM
ejpam-3306	182	13	(	(	PUNCT
ejpam-3306	182	14	b	b	NOUN
ejpam-3306	182	15	∗h	∗h	NOUN
ejpam-3306	182	16	)	)	PUNCT
ejpam-3306	182	17	∪	∪	NOUN
ejpam-3306	182	18	{	{	PUNCT
ejpam-3306	182	19	b	b	NOUN
ejpam-3306	182	20	}	}	PUNCT
ejpam-3306	182	21	(	(	PUNCT
ejpam-3306	182	22	resp	resp	NOUN
ejpam-3306	182	23	.	.	PUNCT
ejpam-3306	183	1	alb	alb	VERB
ejpam-3306	183	2	if	if	SCONJ
ejpam-3306	183	3	and	and	CCONJ
ejpam-3306	183	4	only	only	ADV
ejpam-3306	183	5	if	if	SCONJ
ejpam-3306	183	6	(	(	PUNCT
ejpam-3306	183	7	h	h	NOUN
ejpam-3306	183	8	∗	∗	X
ejpam-3306	183	9	a	a	NOUN
ejpam-3306	183	10	)	)	PUNCT
ejpam-3306	183	11	∪	∪	X
ejpam-3306	183	12	{	{	PUNCT
ejpam-3306	183	13	a	a	NOUN
ejpam-3306	183	14	}	}	PUNCT
ejpam-3306	183	15	=	=	SYM
ejpam-3306	183	16	(	(	PUNCT
ejpam-3306	183	17	h	h	NOUN
ejpam-3306	183	18	∗	∗	NOUN
ejpam-3306	183	19	b	b	NOUN
ejpam-3306	183	20	)	)	PUNCT
ejpam-3306	183	21	∪	∪	ADP
ejpam-3306	183	22	{	{	PUNCT
ejpam-3306	183	23	b	b	NOUN
ejpam-3306	183	24	}	}	PUNCT
ejpam-3306	183	25	)	)	PUNCT
ejpam-3306	183	26	.	.	PUNCT
ejpam-3306	184	1	proposition	proposition	NOUN
ejpam-3306	184	2	3.12	3.12	NUM
ejpam-3306	184	3	.	.	PUNCT
ejpam-3306	185	1	let	let	VERB
ejpam-3306	185	2	h	h	PRON
ejpam-3306	185	3	be	be	AUX
ejpam-3306	185	4	an	an	DET
ejpam-3306	185	5	intra	intra	ADJ
ejpam-3306	185	6	-	-	ADJ
ejpam-3306	185	7	consistent	consistent	ADJ
ejpam-3306	185	8	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	185	9	and	and	CCONJ
ejpam-3306	185	10	arb	arb	PROPN
ejpam-3306	185	11	.	.	PUNCT
ejpam-3306	186	1	then	then	ADV
ejpam-3306	186	2	(	(	PUNCT
ejpam-3306	186	3	a	a	DET
ejpam-3306	186	4	∗h	∗h	NOUN
ejpam-3306	186	5	)	)	PUNCT
ejpam-3306	186	6	∪	∪	NOUN
ejpam-3306	186	7	{	{	PUNCT
ejpam-3306	186	8	a	a	NOUN
ejpam-3306	186	9	}	}	PUNCT
ejpam-3306	186	10	=	=	SYM
ejpam-3306	186	11	(	(	PUNCT
ejpam-3306	186	12	b	b	NOUN
ejpam-3306	186	13	∗h	∗h	NOUN
ejpam-3306	186	14	)	)	PUNCT
ejpam-3306	186	15	∪	∪	NOUN
ejpam-3306	186	16	{	{	PUNCT
ejpam-3306	186	17	b	b	NOUN
ejpam-3306	186	18	}	}	PUNCT
ejpam-3306	186	19	(	(	PUNCT
ejpam-3306	186	20	∗	∗	NOUN
ejpam-3306	186	21	)	)	PUNCT
ejpam-3306	186	22	proof	proof	NOUN
ejpam-3306	186	23	.	.	PUNCT
ejpam-3306	187	1	if	if	SCONJ
ejpam-3306	187	2	a	a	DET
ejpam-3306	187	3	=	=	SYM
ejpam-3306	187	4	b	b	NOUN
ejpam-3306	187	5	,	,	PUNCT
ejpam-3306	187	6	the	the	DET
ejpam-3306	187	7	result	result	NOUN
ejpam-3306	187	8	holds	hold	VERB
ejpam-3306	187	9	.	.	PUNCT
ejpam-3306	188	1	if	if	SCONJ
ejpam-3306	188	2	a	a	DET
ejpam-3306	188	3	6=	6=	SYM
ejpam-3306	188	4	b	b	NOUN
ejpam-3306	188	5	,	,	PUNCT
ejpam-3306	188	6	then	then	ADV
ejpam-3306	188	7	there	there	PRON
ejpam-3306	188	8	exist	exist	VERB
ejpam-3306	188	9	x	x	NOUN
ejpam-3306	188	10	,	,	PUNCT
ejpam-3306	188	11	y	y	PROPN
ejpam-3306	188	12	∈	∈	PROPN
ejpam-3306	188	13	h	h	NOUN
ejpam-3306	188	14	such	such	ADJ
ejpam-3306	188	15	that	that	SCONJ
ejpam-3306	188	16	a	a	DET
ejpam-3306	188	17	∈	∈	PROPN
ejpam-3306	188	18	b	b	NOUN
ejpam-3306	188	19	◦	◦	NOUN
ejpam-3306	188	20	x	x	X
ejpam-3306	188	21	and	and	CCONJ
ejpam-3306	188	22	b	b	X
ejpam-3306	188	23	∈	∈	PROPN
ejpam-3306	188	24	a	a	DET
ejpam-3306	188	25	◦	◦	NOUN
ejpam-3306	188	26	y.	y.	NOUN
ejpam-3306	188	27	then	then	ADV
ejpam-3306	188	28	a	a	DET
ejpam-3306	188	29	∗h	∗h	NOUN
ejpam-3306	188	30	=	=	SYM
ejpam-3306	188	31	b	b	NOUN
ejpam-3306	188	32	∗h	∗h	NOUN
ejpam-3306	188	33	.	.	PUNCT
ejpam-3306	189	1	indeed	indeed	ADV
ejpam-3306	189	2	:	:	PUNCT
ejpam-3306	189	3	if	if	SCONJ
ejpam-3306	189	4	t	t	PROPN
ejpam-3306	189	5	∈	∈	VERB
ejpam-3306	189	6	a	a	DET
ejpam-3306	189	7	∗h	∗h	NOUN
ejpam-3306	189	8	,	,	PUNCT
ejpam-3306	189	9	then	then	ADV
ejpam-3306	189	10	t	t	PROPN
ejpam-3306	189	11	∈	∈	PROPN
ejpam-3306	189	12	a	a	DET
ejpam-3306	189	13	◦	◦	NOUN
ejpam-3306	189	14	u	u	NOUN
ejpam-3306	189	15	for	for	ADP
ejpam-3306	189	16	some	some	DET
ejpam-3306	189	17	u	u	PROPN
ejpam-3306	189	18	∈	∈	PROPN
ejpam-3306	189	19	h	h	NOUN
ejpam-3306	189	20	,	,	PUNCT
ejpam-3306	189	21	then	then	ADV
ejpam-3306	189	22	t	t	PROPN
ejpam-3306	189	23	∈	∈	PROPN
ejpam-3306	189	24	a	a	DET
ejpam-3306	189	25	◦	◦	NOUN
ejpam-3306	189	26	u	u	NOUN
ejpam-3306	189	27	⊆	⊆	NUM
ejpam-3306	189	28	(	(	PUNCT
ejpam-3306	189	29	b	b	X
ejpam-3306	189	30	◦	◦	NOUN
ejpam-3306	189	31	x	x	NOUN
ejpam-3306	189	32	)	)	PUNCT
ejpam-3306	189	33	∗	∗	NOUN
ejpam-3306	189	34	{	{	PUNCT
ejpam-3306	189	35	u	u	NOUN
ejpam-3306	189	36	}	}	PUNCT
ejpam-3306	189	37	⊆	⊆	NUM
ejpam-3306	189	38	(	(	PUNCT
ejpam-3306	189	39	b	b	NOUN
ejpam-3306	189	40	∗h	∗h	NOUN
ejpam-3306	189	41	)	)	PUNCT
ejpam-3306	189	42	∗	∗	NOUN
ejpam-3306	189	43	{	{	PUNCT
ejpam-3306	189	44	u	u	NOUN
ejpam-3306	189	45	}	}	PUNCT
ejpam-3306	189	46	=	=	SYM
ejpam-3306	189	47	{	{	PUNCT
ejpam-3306	189	48	b	b	NOUN
ejpam-3306	189	49	}	}	PUNCT
ejpam-3306	189	50	∗	∗	NOUN
ejpam-3306	189	51	(	(	PUNCT
ejpam-3306	189	52	h	h	PROPN
ejpam-3306	189	53	∗	∗	NOUN
ejpam-3306	189	54	u	u	NOUN
ejpam-3306	189	55	)	)	PUNCT
ejpam-3306	189	56	(	(	PUNCT
ejpam-3306	189	57	since	since	SCONJ
ejpam-3306	189	58	h	h	PROPN
ejpam-3306	189	59	is	be	AUX
ejpam-3306	189	60	intra	intra	ADJ
ejpam-3306	189	61	-	-	ADJ
ejpam-3306	189	62	consistent	consistent	ADJ
ejpam-3306	189	63	)	)	PUNCT
ejpam-3306	189	64	⊆	⊆	NUM
ejpam-3306	189	65	{	{	PUNCT
ejpam-3306	189	66	b	b	NOUN
ejpam-3306	189	67	}	}	PUNCT
ejpam-3306	189	68	∗	∗	NOUN
ejpam-3306	189	69	(	(	PUNCT
ejpam-3306	189	70	h	h	NOUN
ejpam-3306	189	71	∗h	∗h	NOUN
ejpam-3306	189	72	)	)	PUNCT
ejpam-3306	189	73	⊆	⊆	NUM
ejpam-3306	189	74	b	b	NOUN
ejpam-3306	189	75	∗h	∗h	NOUN
ejpam-3306	189	76	so	so	SCONJ
ejpam-3306	189	77	a	a	DET
ejpam-3306	189	78	∗h	∗h	NOUN
ejpam-3306	189	79	⊆	⊆	NUM
ejpam-3306	189	80	b	b	NOUN
ejpam-3306	189	81	∗h	∗h	NOUN
ejpam-3306	189	82	.	.	PUNCT
ejpam-3306	190	1	similarly	similarly	ADV
ejpam-3306	190	2	b	b	X
ejpam-3306	190	3	∗h	∗h	VERB
ejpam-3306	190	4	⊆	⊆	NUM
ejpam-3306	190	5	a	a	DET
ejpam-3306	190	6	∗h	∗h	NOUN
ejpam-3306	190	7	and	and	CCONJ
ejpam-3306	190	8	so	so	ADV
ejpam-3306	190	9	a	a	DET
ejpam-3306	190	10	∗h	∗h	NOUN
ejpam-3306	190	11	=	=	SYM
ejpam-3306	190	12	b	b	NOUN
ejpam-3306	190	13	∗h	∗h	NOUN
ejpam-3306	190	14	.	.	PUNCT
ejpam-3306	191	1	then	then	ADV
ejpam-3306	191	2	,	,	PUNCT
ejpam-3306	191	3	exactly	exactly	ADV
ejpam-3306	191	4	as	as	ADP
ejpam-3306	191	5	in	in	ADP
ejpam-3306	191	6	the	the	DET
ejpam-3306	191	7	proof	proof	NOUN
ejpam-3306	191	8	of	of	ADP
ejpam-3306	191	9	proposition	proposition	NOUN
ejpam-3306	191	10	3.9	3.9	NUM
ejpam-3306	191	11	,	,	PUNCT
ejpam-3306	191	12	we	we	PRON
ejpam-3306	191	13	have	have	VERB
ejpam-3306	191	14	(	(	PUNCT
ejpam-3306	191	15	a	a	DET
ejpam-3306	191	16	∗h	∗h	NOUN
ejpam-3306	191	17	)	)	PUNCT
ejpam-3306	191	18	∪	∪	NOUN
ejpam-3306	191	19	{	{	PUNCT
ejpam-3306	191	20	a	a	NOUN
ejpam-3306	191	21	}	}	PUNCT
ejpam-3306	191	22	=	=	SYM
ejpam-3306	191	23	(	(	PUNCT
ejpam-3306	191	24	b	b	NOUN
ejpam-3306	191	25	∗h	∗h	NOUN
ejpam-3306	191	26	)	)	PUNCT
ejpam-3306	191	27	∪	∪	NOUN
ejpam-3306	191	28	{	{	PUNCT
ejpam-3306	191	29	b	b	NOUN
ejpam-3306	191	30	}	}	PUNCT
ejpam-3306	191	31	.	.	PUNCT
ejpam-3306	192	1	�	�	NOUN
ejpam-3306	192	2	by	by	ADP
ejpam-3306	192	3	propositions	proposition	NOUN
ejpam-3306	192	4	2.2	2.2	NUM
ejpam-3306	192	5	and	and	CCONJ
ejpam-3306	192	6	3.12	3.12	NUM
ejpam-3306	192	7	we	we	PRON
ejpam-3306	192	8	have	have	VERB
ejpam-3306	192	9	the	the	DET
ejpam-3306	192	10	following	follow	VERB
ejpam-3306	192	11	proposition	proposition	NOUN
ejpam-3306	192	12	3.13	3.13	NUM
ejpam-3306	192	13	.	.	PUNCT
ejpam-3306	193	1	let	let	VERB
ejpam-3306	193	2	h	h	PRON
ejpam-3306	193	3	be	be	AUX
ejpam-3306	193	4	an	an	DET
ejpam-3306	193	5	intra	intra	ADJ
ejpam-3306	193	6	-	-	ADJ
ejpam-3306	193	7	consistent	consistent	ADJ
ejpam-3306	193	8	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	193	9	.	.	PUNCT
ejpam-3306	194	1	then	then	ADV
ejpam-3306	194	2	we	we	PRON
ejpam-3306	194	3	have	have	VERB
ejpam-3306	194	4	arb	arb	NOUN
ejpam-3306	194	5	if	if	SCONJ
ejpam-3306	195	1	and	and	CCONJ
ejpam-3306	195	2	only	only	ADV
ejpam-3306	195	3	if	if	SCONJ
ejpam-3306	195	4	(	(	PUNCT
ejpam-3306	195	5	a	a	DET
ejpam-3306	195	6	∗h	∗h	NOUN
ejpam-3306	195	7	)	)	PUNCT
ejpam-3306	195	8	∪	∪	NOUN
ejpam-3306	195	9	{	{	PUNCT
ejpam-3306	195	10	a	a	NOUN
ejpam-3306	195	11	}	}	PUNCT
ejpam-3306	195	12	=	=	SYM
ejpam-3306	195	13	(	(	PUNCT
ejpam-3306	195	14	b	b	NOUN
ejpam-3306	195	15	∗h	∗h	NOUN
ejpam-3306	195	16	)	)	PUNCT
ejpam-3306	195	17	∪	∪	NOUN
ejpam-3306	195	18	{	{	PUNCT
ejpam-3306	195	19	b	b	NOUN
ejpam-3306	195	20	}	}	PUNCT
ejpam-3306	195	21	.	.	PUNCT
ejpam-3306	196	1	proposition	proposition	NOUN
ejpam-3306	196	2	3.14	3.14	NUM
ejpam-3306	196	3	.	.	PUNCT
ejpam-3306	197	1	if	if	SCONJ
ejpam-3306	197	2	h	h	NOUN
ejpam-3306	197	3	is	be	AUX
ejpam-3306	197	4	a	a	DET
ejpam-3306	197	5	right	right	ADJ
ejpam-3306	197	6	(	(	PUNCT
ejpam-3306	197	7	resp	resp	NOUN
ejpam-3306	197	8	.	.	PUNCT
ejpam-3306	198	1	left	leave	VERB
ejpam-3306	198	2	)	)	PUNCT
ejpam-3306	198	3	consistent	consistent	ADJ
ejpam-3306	198	4	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	198	5	then	then	ADV
ejpam-3306	198	6	,	,	PUNCT
ejpam-3306	198	7	for	for	ADP
ejpam-3306	198	8	every	every	DET
ejpam-3306	198	9	a	a	DET
ejpam-3306	198	10	∈	∈	PROPN
ejpam-3306	198	11	h	h	NOUN
ejpam-3306	198	12	,	,	PUNCT
ejpam-3306	198	13	the	the	DET
ejpam-3306	198	14	set	set	NOUN
ejpam-3306	198	15	a	a	DET
ejpam-3306	198	16	∗h	∗h	NOUN
ejpam-3306	198	17	(	(	PUNCT
ejpam-3306	198	18	resp	resp	NOUN
ejpam-3306	198	19	.	.	PUNCT
ejpam-3306	199	1	h	h	PROPN
ejpam-3306	199	2	∗	∗	PROPN
ejpam-3306	199	3	a	a	PRON
ejpam-3306	199	4	)	)	PUNCT
ejpam-3306	199	5	is	be	AUX
ejpam-3306	199	6	a	a	DET
ejpam-3306	199	7	subgroupoid	subgroupoid	NOUN
ejpam-3306	199	8	of	of	ADP
ejpam-3306	199	9	h.	h.	NOUN
ejpam-3306	199	10	proof	proof	NOUN
ejpam-3306	199	11	.	.	PUNCT
ejpam-3306	200	1	let	let	VERB
ejpam-3306	200	2	h	h	PRON
ejpam-3306	200	3	be	be	AUX
ejpam-3306	200	4	a	a	DET
ejpam-3306	200	5	right	right	ADV
ejpam-3306	200	6	consistent	consistent	ADJ
ejpam-3306	200	7	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	200	8	and	and	CCONJ
ejpam-3306	200	9	x	x	X
ejpam-3306	200	10	,	,	PUNCT
ejpam-3306	200	11	y	y	PROPN
ejpam-3306	200	12	∈	∈	PROPN
ejpam-3306	200	13	a	a	DET
ejpam-3306	200	14	∗h	∗h	NOUN
ejpam-3306	200	15	.	.	PUNCT
ejpam-3306	201	1	then	then	ADV
ejpam-3306	201	2	x	x	SYM
ejpam-3306	201	3	∈	∈	PROPN
ejpam-3306	201	4	a	a	DET
ejpam-3306	201	5	◦	◦	NOUN
ejpam-3306	201	6	u	u	NOUN
ejpam-3306	201	7	and	and	CCONJ
ejpam-3306	201	8	y	y	PROPN
ejpam-3306	201	9	∈	∈	PROPN
ejpam-3306	201	10	a	a	DET
ejpam-3306	201	11	◦	◦	NOUN
ejpam-3306	201	12	v	v	NOUN
ejpam-3306	201	13	for	for	ADP
ejpam-3306	201	14	some	some	DET
ejpam-3306	201	15	u	u	NOUN
ejpam-3306	201	16	,	,	PUNCT
ejpam-3306	201	17	v	v	PROPN
ejpam-3306	201	18	∈	∈	PROPN
ejpam-3306	201	19	h.	h.	NOUN
ejpam-3306	202	1	then	then	ADV
ejpam-3306	202	2	we	we	PRON
ejpam-3306	202	3	have	have	VERB
ejpam-3306	202	4	x	x	PART
ejpam-3306	202	5	◦	◦	VERB
ejpam-3306	202	6	y	y	PROPN
ejpam-3306	202	7	⊆	⊆	NUM
ejpam-3306	202	8	(	(	PUNCT
ejpam-3306	202	9	a	a	DET
ejpam-3306	202	10	◦	◦	NOUN
ejpam-3306	202	11	u	u	NOUN
ejpam-3306	202	12	)	)	PUNCT
ejpam-3306	202	13	∗	∗	NOUN
ejpam-3306	202	14	(	(	PUNCT
ejpam-3306	202	15	a	a	DET
ejpam-3306	202	16	◦	◦	NOUN
ejpam-3306	202	17	v	v	NOUN
ejpam-3306	202	18	)	)	PUNCT
ejpam-3306	202	19	⊆	⊆	NUM
ejpam-3306	202	20	(	(	PUNCT
ejpam-3306	202	21	a	a	DET
ejpam-3306	202	22	◦	◦	NOUN
ejpam-3306	202	23	u	u	NOUN
ejpam-3306	202	24	)	)	PUNCT
ejpam-3306	202	25	∗	∗	NOUN
ejpam-3306	202	26	(	(	PUNCT
ejpam-3306	202	27	h	h	NOUN
ejpam-3306	202	28	∗h	∗h	NOUN
ejpam-3306	202	29	)	)	PUNCT
ejpam-3306	202	30	⊆	⊆	NUM
ejpam-3306	202	31	(	(	PUNCT
ejpam-3306	202	32	a	a	DET
ejpam-3306	202	33	◦	◦	NOUN
ejpam-3306	202	34	u	u	NOUN
ejpam-3306	202	35	)	)	PUNCT
ejpam-3306	202	36	∗h	∗h	NOUN
ejpam-3306	202	37	=	=	SYM
ejpam-3306	202	38	{	{	PUNCT
ejpam-3306	202	39	a	a	PRON
ejpam-3306	202	40	}	}	PUNCT
ejpam-3306	202	41	∗	∗	NOUN
ejpam-3306	202	42	(	(	PUNCT
ejpam-3306	202	43	u	u	NOUN
ejpam-3306	202	44	∗h	∗h	VERB
ejpam-3306	202	45	)	)	PUNCT
ejpam-3306	202	46	(	(	PUNCT
ejpam-3306	202	47	since	since	SCONJ
ejpam-3306	202	48	h	h	NOUN
ejpam-3306	202	49	is	be	AUX
ejpam-3306	202	50	right	right	ADV
ejpam-3306	202	51	consistent	consistent	ADJ
ejpam-3306	202	52	)	)	PUNCT
ejpam-3306	202	53	⊆	⊆	NUM
ejpam-3306	202	54	{	{	PUNCT
ejpam-3306	202	55	a	a	DET
ejpam-3306	202	56	}	}	PUNCT
ejpam-3306	202	57	∗	∗	NOUN
ejpam-3306	202	58	(	(	PUNCT
ejpam-3306	202	59	h	h	NOUN
ejpam-3306	202	60	∗h	∗h	NOUN
ejpam-3306	202	61	)	)	PUNCT
ejpam-3306	202	62	⊆	⊆	NUM
ejpam-3306	202	63	a	a	DET
ejpam-3306	202	64	∗h	∗h	NOUN
ejpam-3306	202	65	,	,	PUNCT
ejpam-3306	202	66	so	so	SCONJ
ejpam-3306	202	67	a	a	DET
ejpam-3306	202	68	∗h	∗h	NOUN
ejpam-3306	202	69	is	be	AUX
ejpam-3306	202	70	a	a	DET
ejpam-3306	202	71	subgroupoid	subgroupoid	NOUN
ejpam-3306	202	72	of	of	ADP
ejpam-3306	202	73	h.	h.	PROPN
ejpam-3306	202	74	�	�	PROPN
ejpam-3306	202	75	proposition	proposition	NOUN
ejpam-3306	202	76	3.15	3.15	NUM
ejpam-3306	202	77	.	.	PUNCT
ejpam-3306	203	1	if	if	SCONJ
ejpam-3306	203	2	an	an	DET
ejpam-3306	203	3	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	203	4	h	h	NOUN
ejpam-3306	203	5	is	be	AUX
ejpam-3306	203	6	right	right	ADV
ejpam-3306	203	7	consistent	consistent	ADJ
ejpam-3306	203	8	(	(	PUNCT
ejpam-3306	203	9	resp	resp	NOUN
ejpam-3306	203	10	.	.	PUNCT
ejpam-3306	204	1	left	leave	VERB
ejpam-3306	204	2	consistent	consistent	ADJ
ejpam-3306	204	3	)	)	PUNCT
ejpam-3306	204	4	then	then	ADV
ejpam-3306	204	5	,	,	PUNCT
ejpam-3306	204	6	for	for	ADP
ejpam-3306	204	7	any	any	DET
ejpam-3306	204	8	nonempty	nonempty	NOUN
ejpam-3306	204	9	subset	subset	VERB
ejpam-3306	204	10	a	a	PRON
ejpam-3306	204	11	of	of	ADP
ejpam-3306	204	12	h	h	NOUN
ejpam-3306	204	13	,	,	PUNCT
ejpam-3306	204	14	the	the	DET
ejpam-3306	204	15	set	set	NOUN
ejpam-3306	204	16	a∪	a∪	PROPN
ejpam-3306	204	17	(	(	PUNCT
ejpam-3306	204	18	a∗h	a∗h	PROPN
ejpam-3306	204	19	)	)	PUNCT
ejpam-3306	204	20	(	(	PUNCT
ejpam-3306	204	21	resp	resp	NOUN
ejpam-3306	204	22	.	.	PUNCT
ejpam-3306	205	1	a∪	a∪	PROPN
ejpam-3306	206	1	(	(	PUNCT
ejpam-3306	206	2	h	h	NOUN
ejpam-3306	206	3	∗a	∗a	ADJ
ejpam-3306	206	4	)	)	PUNCT
ejpam-3306	206	5	)	)	PUNCT
ejpam-3306	206	6	is	be	AUX
ejpam-3306	206	7	the	the	DET
ejpam-3306	206	8	right	right	ADJ
ejpam-3306	206	9	(	(	PUNCT
ejpam-3306	206	10	resp	resp	NOUN
ejpam-3306	206	11	.	.	PUNCT
ejpam-3306	207	1	left	left	ADJ
ejpam-3306	207	2	)	)	PUNCT
ejpam-3306	207	3	ideal	ideal	NOUN
ejpam-3306	207	4	of	of	ADP
ejpam-3306	207	5	h	h	PROPN
ejpam-3306	207	6	generated	generate	VERB
ejpam-3306	207	7	by	by	ADP
ejpam-3306	207	8	a.	a.	PROPN
ejpam-3306	207	9	n.	n.	PROPN
ejpam-3306	207	10	kehayopulu	kehayopulu	PROPN
ejpam-3306	207	11	/	/	SYM
ejpam-3306	207	12	eur	eur	PROPN
ejpam-3306	207	13	.	.	PUNCT
ejpam-3306	208	1	j.	j.	PROPN
ejpam-3306	208	2	pure	pure	PROPN
ejpam-3306	208	3	appl	appl	PROPN
ejpam-3306	208	4	.	.	PROPN
ejpam-3306	208	5	math	math	PROPN
ejpam-3306	208	6	,	,	PUNCT
ejpam-3306	208	7	11	11	NUM
ejpam-3306	208	8	(	(	PUNCT
ejpam-3306	208	9	3	3	NUM
ejpam-3306	208	10	)	)	PUNCT
ejpam-3306	208	11	(	(	PUNCT
ejpam-3306	208	12	2018	2018	NUM
ejpam-3306	208	13	)	)	PUNCT
ejpam-3306	208	14	,	,	PUNCT
ejpam-3306	208	15	598	598	NUM
ejpam-3306	208	16	-	-	SYM
ejpam-3306	208	17	611	611	NUM
ejpam-3306	208	18	606	606	NUM
ejpam-3306	208	19	proof	proof	NOUN
ejpam-3306	208	20	.	.	PUNCT
ejpam-3306	209	1	let	let	VERB
ejpam-3306	209	2	h	h	PRON
ejpam-3306	209	3	be	be	AUX
ejpam-3306	209	4	right	right	ADV
ejpam-3306	209	5	consistent	consistent	ADJ
ejpam-3306	209	6	.	.	PUNCT
ejpam-3306	210	1	clearly	clearly	ADV
ejpam-3306	210	2	,	,	PUNCT
ejpam-3306	210	3	the	the	DET
ejpam-3306	210	4	set	set	NOUN
ejpam-3306	210	5	a∪	a∪	INTJ
ejpam-3306	210	6	(	(	PUNCT
ejpam-3306	210	7	a	a	DET
ejpam-3306	210	8	∗h	∗h	NOUN
ejpam-3306	210	9	)	)	PUNCT
ejpam-3306	210	10	is	be	AUX
ejpam-3306	210	11	a	a	DET
ejpam-3306	210	12	nonempty	nonempty	ADJ
ejpam-3306	210	13	subset	subset	NOUN
ejpam-3306	210	14	of	of	ADP
ejpam-3306	210	15	h	h	NOUN
ejpam-3306	210	16	containing	contain	VERB
ejpam-3306	210	17	a.	a.	NOUN
ejpam-3306	210	18	moreover	moreover	ADV
ejpam-3306	210	19	,	,	PUNCT
ejpam-3306	210	20	(	(	PUNCT
ejpam-3306	210	21	a∪(a∗h	a∪(a∗h	NOUN
ejpam-3306	210	22	)	)	PUNCT
ejpam-3306	210	23	)	)	PUNCT
ejpam-3306	211	1	∗h	∗h	VERB
ejpam-3306	211	2	⊆	⊆	NUM
ejpam-3306	211	3	a∪(a∗h	a∪(a∗h	NOUN
ejpam-3306	211	4	)	)	PUNCT
ejpam-3306	211	5	.	.	PUNCT
ejpam-3306	212	1	indeed	indeed	ADV
ejpam-3306	212	2	:	:	PUNCT
ejpam-3306	212	3	let	let	VERB
ejpam-3306	212	4	t	t	PROPN
ejpam-3306	212	5	∈	∈	PROPN
ejpam-3306	212	6	(	(	PUNCT
ejpam-3306	212	7	a∪(a∗h	a∪(a∗h	NOUN
ejpam-3306	212	8	)	)	PUNCT
ejpam-3306	212	9	)	)	PUNCT
ejpam-3306	213	1	∗h	∗h	NOUN
ejpam-3306	213	2	.	.	PUNCT
ejpam-3306	214	1	then	then	ADV
ejpam-3306	214	2	t	t	PROPN
ejpam-3306	214	3	∈	∈	PROPN
ejpam-3306	214	4	u	u	NOUN
ejpam-3306	214	5	◦	◦	NOUN
ejpam-3306	214	6	h	h	NOUN
ejpam-3306	214	7	for	for	ADP
ejpam-3306	214	8	some	some	DET
ejpam-3306	214	9	u	u	NOUN
ejpam-3306	214	10	∈	∈	PROPN
ejpam-3306	214	11	a∪(a∗h	a∪(a∗h	PROPN
ejpam-3306	214	12	)	)	PUNCT
ejpam-3306	214	13	,	,	PUNCT
ejpam-3306	214	14	h	h	PROPN
ejpam-3306	214	15	∈	∈	PROPN
ejpam-3306	214	16	h.	h.	NOUN
ejpam-3306	215	1	if	if	SCONJ
ejpam-3306	215	2	u	u	PROPN
ejpam-3306	215	3	∈	∈	PROPN
ejpam-3306	215	4	a	a	PRON
ejpam-3306	215	5	,	,	PUNCT
ejpam-3306	215	6	then	then	ADV
ejpam-3306	215	7	t	t	PROPN
ejpam-3306	215	8	∈	∈	PROPN
ejpam-3306	215	9	u	u	NOUN
ejpam-3306	215	10	◦	◦	NOUN
ejpam-3306	215	11	h	h	PRON
ejpam-3306	216	1	⊆	⊆	NUM
ejpam-3306	216	2	a∗h	a∗h	NUM
ejpam-3306	216	3	⊆	⊆	NUM
ejpam-3306	216	4	a∪(a∗h	a∪(a∗h	NUM
ejpam-3306	216	5	)	)	PUNCT
ejpam-3306	216	6	.	.	PUNCT
ejpam-3306	217	1	let	let	VERB
ejpam-3306	217	2	u	u	PRON
ejpam-3306	217	3	∈	∈	PROPN
ejpam-3306	217	4	a	a	DET
ejpam-3306	217	5	∗h	∗h	NOUN
ejpam-3306	217	6	.	.	PUNCT
ejpam-3306	218	1	then	then	ADV
ejpam-3306	218	2	u	u	PROPN
ejpam-3306	218	3	∈	∈	PROPN
ejpam-3306	218	4	a	a	DET
ejpam-3306	218	5	◦	◦	NOUN
ejpam-3306	218	6	v	v	NOUN
ejpam-3306	218	7	for	for	ADP
ejpam-3306	218	8	some	some	DET
ejpam-3306	218	9	a	a	DET
ejpam-3306	218	10	∈	∈	PROPN
ejpam-3306	218	11	a	a	PRON
ejpam-3306	218	12	,	,	PUNCT
ejpam-3306	218	13	v	v	PROPN
ejpam-3306	218	14	∈	∈	PROPN
ejpam-3306	218	15	h.	h.	NOUN
ejpam-3306	219	1	then	then	ADV
ejpam-3306	219	2	we	we	PRON
ejpam-3306	219	3	have	have	VERB
ejpam-3306	219	4	t	t	PROPN
ejpam-3306	219	5	∈	∈	PROPN
ejpam-3306	219	6	u	u	NOUN
ejpam-3306	219	7	◦	◦	NOUN
ejpam-3306	219	8	h	h	NOUN
ejpam-3306	219	9	⊆	⊆	NUM
ejpam-3306	219	10	(	(	PUNCT
ejpam-3306	219	11	a	a	DET
ejpam-3306	219	12	◦	◦	NOUN
ejpam-3306	219	13	v	v	NOUN
ejpam-3306	219	14	)	)	PUNCT
ejpam-3306	219	15	∗h	∗h	NOUN
ejpam-3306	219	16	=	=	SYM
ejpam-3306	219	17	{	{	PUNCT
ejpam-3306	219	18	a	a	PRON
ejpam-3306	219	19	}	}	PUNCT
ejpam-3306	219	20	∗	∗	NOUN
ejpam-3306	219	21	(	(	PUNCT
ejpam-3306	219	22	v	v	NOUN
ejpam-3306	219	23	∗h	∗h	NOUN
ejpam-3306	219	24	)	)	PUNCT
ejpam-3306	219	25	(	(	PUNCT
ejpam-3306	219	26	since	since	SCONJ
ejpam-3306	219	27	h	h	NOUN
ejpam-3306	219	28	is	be	AUX
ejpam-3306	219	29	right	right	ADV
ejpam-3306	219	30	consistent	consistent	ADJ
ejpam-3306	219	31	)	)	PUNCT
ejpam-3306	219	32	⊆	⊆	NUM
ejpam-3306	219	33	a	a	DET
ejpam-3306	219	34	∗	∗	NOUN
ejpam-3306	219	35	(	(	PUNCT
ejpam-3306	219	36	h	h	NOUN
ejpam-3306	219	37	∗h	∗h	NOUN
ejpam-3306	219	38	)	)	PUNCT
ejpam-3306	219	39	⊆	⊆	NUM
ejpam-3306	219	40	a	a	DET
ejpam-3306	219	41	∗h	∗h	NOUN
ejpam-3306	219	42	⊆	⊆	NUM
ejpam-3306	219	43	a	a	DET
ejpam-3306	219	44	∪	∪	NOUN
ejpam-3306	219	45	(	(	PUNCT
ejpam-3306	219	46	a	a	DET
ejpam-3306	219	47	∗h	∗h	NOUN
ejpam-3306	219	48	)	)	PUNCT
ejpam-3306	219	49	,	,	PUNCT
ejpam-3306	219	50	thus	thus	ADV
ejpam-3306	219	51	a	a	DET
ejpam-3306	219	52	∪	∪	X
ejpam-3306	219	53	(	(	PUNCT
ejpam-3306	219	54	a	a	DET
ejpam-3306	219	55	∗h	∗h	NOUN
ejpam-3306	219	56	)	)	PUNCT
ejpam-3306	219	57	is	be	AUX
ejpam-3306	219	58	a	a	DET
ejpam-3306	219	59	right	right	ADJ
ejpam-3306	219	60	ideal	ideal	NOUN
ejpam-3306	219	61	of	of	ADP
ejpam-3306	219	62	h.	h.	PROPN
ejpam-3306	219	63	let	let	VERB
ejpam-3306	219	64	now	now	ADV
ejpam-3306	219	65	t	t	AUX
ejpam-3306	219	66	be	be	AUX
ejpam-3306	219	67	a	a	DET
ejpam-3306	219	68	right	right	ADJ
ejpam-3306	219	69	ideal	ideal	NOUN
ejpam-3306	219	70	of	of	ADP
ejpam-3306	219	71	h	h	NOUN
ejpam-3306	219	72	such	such	ADJ
ejpam-3306	219	73	that	that	SCONJ
ejpam-3306	219	74	t	t	PROPN
ejpam-3306	219	75	⊇	⊇	PROPN
ejpam-3306	219	76	a.	a.	NOUN
ejpam-3306	220	1	then	then	ADV
ejpam-3306	220	2	we	we	PRON
ejpam-3306	220	3	have	have	VERB
ejpam-3306	220	4	a∪	a∪	INTJ
ejpam-3306	220	5	(	(	PUNCT
ejpam-3306	220	6	a	a	DET
ejpam-3306	220	7	∗h	∗h	NOUN
ejpam-3306	220	8	)	)	PUNCT
ejpam-3306	220	9	⊆	⊆	NUM
ejpam-3306	220	10	t	t	NOUN
ejpam-3306	220	11	∪	∪	NOUN
ejpam-3306	220	12	(	(	PUNCT
ejpam-3306	220	13	t	t	NOUN
ejpam-3306	220	14	∗h	∗h	NOUN
ejpam-3306	220	15	)	)	PUNCT
ejpam-3306	220	16	⊆	⊆	NUM
ejpam-3306	220	17	t	t	NOUN
ejpam-3306	220	18	and	and	CCONJ
ejpam-3306	220	19	so	so	ADV
ejpam-3306	220	20	the	the	DET
ejpam-3306	220	21	set	set	VERB
ejpam-3306	220	22	a∪	a∪	INTJ
ejpam-3306	220	23	(	(	PUNCT
ejpam-3306	220	24	a	a	DET
ejpam-3306	220	25	∗h	∗h	NOUN
ejpam-3306	220	26	)	)	PUNCT
ejpam-3306	220	27	is	be	AUX
ejpam-3306	220	28	the	the	DET
ejpam-3306	220	29	right	right	ADJ
ejpam-3306	220	30	ideal	ideal	NOUN
ejpam-3306	220	31	of	of	ADP
ejpam-3306	220	32	h	h	PROPN
ejpam-3306	220	33	generated	generate	VERB
ejpam-3306	220	34	by	by	ADP
ejpam-3306	220	35	a.	a.	NOUN
ejpam-3306	220	36	if	if	SCONJ
ejpam-3306	220	37	h	h	NOUN
ejpam-3306	220	38	is	be	AUX
ejpam-3306	220	39	left	leave	VERB
ejpam-3306	220	40	consistent	consistent	ADJ
ejpam-3306	220	41	,	,	PUNCT
ejpam-3306	220	42	then	then	ADV
ejpam-3306	220	43	in	in	ADP
ejpam-3306	220	44	a	a	DET
ejpam-3306	220	45	similar	similar	ADJ
ejpam-3306	220	46	way	way	NOUN
ejpam-3306	220	47	we	we	PRON
ejpam-3306	220	48	prove	prove	VERB
ejpam-3306	220	49	that	that	SCONJ
ejpam-3306	220	50	the	the	DET
ejpam-3306	220	51	set	set	NOUN
ejpam-3306	220	52	a	a	DET
ejpam-3306	220	53	∪	∪	ADJ
ejpam-3306	220	54	(	(	PUNCT
ejpam-3306	220	55	h	h	NOUN
ejpam-3306	220	56	∗a	∗a	ADJ
ejpam-3306	220	57	)	)	PUNCT
ejpam-3306	220	58	is	be	AUX
ejpam-3306	220	59	the	the	DET
ejpam-3306	220	60	left	left	ADJ
ejpam-3306	220	61	ideal	ideal	NOUN
ejpam-3306	220	62	of	of	ADP
ejpam-3306	220	63	h	h	PROPN
ejpam-3306	220	64	generated	generate	VERB
ejpam-3306	220	65	by	by	ADP
ejpam-3306	220	66	a.	a.	PROPN
ejpam-3306	220	67	�	�	PROPN
ejpam-3306	220	68	corollary	corollary	PROPN
ejpam-3306	220	69	3.16	3.16	NUM
ejpam-3306	220	70	.	.	PUNCT
ejpam-3306	221	1	if	if	SCONJ
ejpam-3306	221	2	an	an	DET
ejpam-3306	221	3	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	221	4	h	h	NOUN
ejpam-3306	221	5	is	be	AUX
ejpam-3306	221	6	right	right	ADV
ejpam-3306	221	7	consistent	consistent	ADJ
ejpam-3306	221	8	(	(	PUNCT
ejpam-3306	221	9	resp	resp	NOUN
ejpam-3306	221	10	.	.	PUNCT
ejpam-3306	222	1	left	leave	VERB
ejpam-3306	222	2	consistent	consistent	ADJ
ejpam-3306	222	3	)	)	PUNCT
ejpam-3306	222	4	then	then	ADV
ejpam-3306	222	5	,	,	PUNCT
ejpam-3306	222	6	for	for	ADP
ejpam-3306	222	7	any	any	DET
ejpam-3306	222	8	a	a	DET
ejpam-3306	222	9	∈	∈	PROPN
ejpam-3306	222	10	h	h	NOUN
ejpam-3306	222	11	,	,	PUNCT
ejpam-3306	222	12	the	the	DET
ejpam-3306	222	13	set	set	NOUN
ejpam-3306	222	14	{	{	PUNCT
ejpam-3306	222	15	a	a	PRON
ejpam-3306	222	16	}	}	PUNCT
ejpam-3306	222	17	∪	∪	NOUN
ejpam-3306	222	18	(	(	PUNCT
ejpam-3306	222	19	a	a	DET
ejpam-3306	222	20	∗h	∗h	NOUN
ejpam-3306	222	21	)	)	PUNCT
ejpam-3306	222	22	(	(	PUNCT
ejpam-3306	222	23	resp	resp	NOUN
ejpam-3306	222	24	.	.	PUNCT
ejpam-3306	223	1	{	{	PUNCT
ejpam-3306	223	2	a	a	DET
ejpam-3306	223	3	}	}	PUNCT
ejpam-3306	223	4	∪	∪	NOUN
ejpam-3306	223	5	(	(	PUNCT
ejpam-3306	223	6	h	h	NOUN
ejpam-3306	223	7	∗	∗	NOUN
ejpam-3306	223	8	a	a	NOUN
ejpam-3306	223	9	)	)	PUNCT
ejpam-3306	223	10	)	)	PUNCT
ejpam-3306	223	11	is	be	AUX
ejpam-3306	223	12	the	the	DET
ejpam-3306	223	13	right	right	ADJ
ejpam-3306	223	14	(	(	PUNCT
ejpam-3306	223	15	resp	resp	NOUN
ejpam-3306	223	16	.	.	PUNCT
ejpam-3306	224	1	left	left	ADJ
ejpam-3306	224	2	)	)	PUNCT
ejpam-3306	224	3	ideal	ideal	NOUN
ejpam-3306	224	4	of	of	ADP
ejpam-3306	224	5	h	h	PROPN
ejpam-3306	224	6	generated	generate	VERB
ejpam-3306	224	7	by	by	ADP
ejpam-3306	224	8	a.	a.	NOUN
ejpam-3306	224	9	as	as	ADP
ejpam-3306	224	10	a	a	DET
ejpam-3306	224	11	result	result	NOUN
ejpam-3306	224	12	,	,	PUNCT
ejpam-3306	224	13	if	if	SCONJ
ejpam-3306	224	14	h	h	NOUN
ejpam-3306	224	15	is	be	AUX
ejpam-3306	224	16	a	a	DET
ejpam-3306	224	17	right	right	NOUN
ejpam-3306	224	18	or	or	CCONJ
ejpam-3306	224	19	left	leave	VERB
ejpam-3306	224	20	consistent	consistent	ADJ
ejpam-3306	225	1	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	225	2	then	then	ADV
ejpam-3306	225	3	,	,	PUNCT
ejpam-3306	225	4	for	for	ADP
ejpam-3306	225	5	every	every	DET
ejpam-3306	225	6	a	a	DET
ejpam-3306	225	7	∈	∈	PROPN
ejpam-3306	225	8	h	h	NOUN
ejpam-3306	225	9	,	,	PUNCT
ejpam-3306	225	10	the	the	DET
ejpam-3306	225	11	sets	set	NOUN
ejpam-3306	225	12	{	{	PUNCT
ejpam-3306	225	13	a	a	PRON
ejpam-3306	225	14	}	}	PUNCT
ejpam-3306	225	15	∪	∪	NOUN
ejpam-3306	225	16	(	(	PUNCT
ejpam-3306	225	17	a	a	DET
ejpam-3306	225	18	∗h	∗h	NOUN
ejpam-3306	225	19	)	)	PUNCT
ejpam-3306	225	20	and	and	CCONJ
ejpam-3306	225	21	{	{	PUNCT
ejpam-3306	225	22	a	a	DET
ejpam-3306	225	23	}	}	PUNCT
ejpam-3306	225	24	∪	∪	NOUN
ejpam-3306	225	25	(	(	PUNCT
ejpam-3306	225	26	h	h	NOUN
ejpam-3306	225	27	∗	∗	NOUN
ejpam-3306	225	28	a	a	NOUN
ejpam-3306	225	29	)	)	PUNCT
ejpam-3306	225	30	are	be	AUX
ejpam-3306	225	31	subgroupoids	subgroupoid	NOUN
ejpam-3306	225	32	of	of	ADP
ejpam-3306	225	33	h.	h.	PROPN
ejpam-3306	225	34	notation	notation	PROPN
ejpam-3306	225	35	3.17	3.17	NUM
ejpam-3306	225	36	.	.	PUNCT
ejpam-3306	226	1	we	we	PRON
ejpam-3306	226	2	denote	denote	VERB
ejpam-3306	226	3	by	by	ADP
ejpam-3306	226	4	r(a	r(a	PROPN
ejpam-3306	226	5	)	)	PUNCT
ejpam-3306	226	6	(	(	PUNCT
ejpam-3306	226	7	resp	resp	NOUN
ejpam-3306	226	8	.	.	PUNCT
ejpam-3306	227	1	l(a	l(a	PROPN
ejpam-3306	227	2	)	)	PUNCT
ejpam-3306	227	3	)	)	PUNCT
ejpam-3306	228	1	the	the	DET
ejpam-3306	228	2	right	right	NOUN
ejpam-3306	228	3	(	(	PUNCT
ejpam-3306	228	4	resp	resp	NOUN
ejpam-3306	228	5	.	.	PUNCT
ejpam-3306	229	1	left	left	ADJ
ejpam-3306	229	2	)	)	PUNCT
ejpam-3306	229	3	ideal	ideal	NOUN
ejpam-3306	229	4	of	of	ADP
ejpam-3306	229	5	h	h	PROPN
ejpam-3306	229	6	generated	generate	VERB
ejpam-3306	229	7	by	by	ADP
ejpam-3306	229	8	a.	a.	NOUN
ejpam-3306	229	9	for	for	ADP
ejpam-3306	229	10	a	a	DET
ejpam-3306	229	11	=	=	X
ejpam-3306	229	12	{	{	PUNCT
ejpam-3306	229	13	a	a	NOUN
ejpam-3306	229	14	}	}	PUNCT
ejpam-3306	229	15	,	,	PUNCT
ejpam-3306	229	16	we	we	PRON
ejpam-3306	229	17	write	write	VERB
ejpam-3306	229	18	r(a	r(a	PROPN
ejpam-3306	229	19	)	)	PUNCT
ejpam-3306	229	20	,	,	PUNCT
ejpam-3306	229	21	l(a	l(a	PROPN
ejpam-3306	229	22	)	)	PUNCT
ejpam-3306	229	23	instead	instead	ADV
ejpam-3306	229	24	of	of	ADP
ejpam-3306	229	25	r({a	r({a	PROPN
ejpam-3306	229	26	}	}	PUNCT
ejpam-3306	229	27	)	)	PUNCT
ejpam-3306	229	28	,	,	PUNCT
ejpam-3306	229	29	l({a	l({a	PROPN
ejpam-3306	229	30	}	}	PUNCT
ejpam-3306	229	31	)	)	PUNCT
ejpam-3306	229	32	.	.	PUNCT
ejpam-3306	230	1	by	by	ADP
ejpam-3306	230	2	proposition	proposition	NOUN
ejpam-3306	230	3	3.15	3.15	NUM
ejpam-3306	230	4	we	we	PRON
ejpam-3306	230	5	have	have	VERB
ejpam-3306	230	6	the	the	DET
ejpam-3306	230	7	following	follow	VERB
ejpam-3306	230	8	corollary	corollary	NOUN
ejpam-3306	230	9	3.18	3.18	NUM
ejpam-3306	230	10	.	.	PUNCT
ejpam-3306	231	1	if	if	SCONJ
ejpam-3306	231	2	an	an	DET
ejpam-3306	231	3	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	231	4	h	h	NOUN
ejpam-3306	231	5	is	be	AUX
ejpam-3306	231	6	right	right	ADV
ejpam-3306	231	7	consistent	consistent	ADJ
ejpam-3306	231	8	(	(	PUNCT
ejpam-3306	231	9	resp	resp	NOUN
ejpam-3306	231	10	.	.	PUNCT
ejpam-3306	232	1	left	leave	VERB
ejpam-3306	232	2	consistent	consistent	ADJ
ejpam-3306	232	3	)	)	PUNCT
ejpam-3306	232	4	then	then	ADV
ejpam-3306	232	5	,	,	PUNCT
ejpam-3306	232	6	for	for	SCONJ
ejpam-3306	232	7	every	every	DET
ejpam-3306	232	8	nonempty	nonempty	NOUN
ejpam-3306	232	9	subset	subset	VERB
ejpam-3306	232	10	a	a	PRON
ejpam-3306	232	11	of	of	ADP
ejpam-3306	232	12	h	h	NOUN
ejpam-3306	232	13	,	,	PUNCT
ejpam-3306	232	14	we	we	PRON
ejpam-3306	232	15	have	have	AUX
ejpam-3306	232	16	r(a	r(a	VERB
ejpam-3306	232	17	)	)	PUNCT
ejpam-3306	233	1	=	=	SYM
ejpam-3306	233	2	a∪	a∪	INTJ
ejpam-3306	233	3	(	(	PUNCT
ejpam-3306	233	4	a	a	DET
ejpam-3306	233	5	∗h	∗h	NOUN
ejpam-3306	233	6	)	)	PUNCT
ejpam-3306	233	7	(	(	PUNCT
ejpam-3306	233	8	resp	resp	NOUN
ejpam-3306	233	9	.	.	PUNCT
ejpam-3306	234	1	l(a	l(a	PROPN
ejpam-3306	234	2	)	)	PUNCT
ejpam-3306	235	1	=	=	SYM
ejpam-3306	235	2	a∪	a∪	INTJ
ejpam-3306	235	3	(	(	PUNCT
ejpam-3306	235	4	h	h	NOUN
ejpam-3306	235	5	∗a	∗a	ADJ
ejpam-3306	235	6	)	)	PUNCT
ejpam-3306	235	7	)	)	PUNCT
ejpam-3306	235	8	.	.	PUNCT
ejpam-3306	236	1	by	by	ADP
ejpam-3306	236	2	corollaries	corollary	NOUN
ejpam-3306	236	3	3.11	3.11	NUM
ejpam-3306	236	4	,	,	PUNCT
ejpam-3306	236	5	3.16	3.16	NUM
ejpam-3306	236	6	and	and	CCONJ
ejpam-3306	236	7	proposition	proposition	NOUN
ejpam-3306	236	8	3.13	3.13	NUM
ejpam-3306	236	9	we	we	PRON
ejpam-3306	236	10	have	have	VERB
ejpam-3306	236	11	the	the	DET
ejpam-3306	236	12	following	follow	VERB
ejpam-3306	236	13	corollary	corollary	NOUN
ejpam-3306	236	14	3.19	3.19	NUM
ejpam-3306	236	15	.	.	PUNCT
ejpam-3306	237	1	if	if	SCONJ
ejpam-3306	237	2	h	h	NOUN
ejpam-3306	237	3	is	be	AUX
ejpam-3306	237	4	a	a	DET
ejpam-3306	237	5	right	right	ADV
ejpam-3306	237	6	consistent	consistent	ADJ
ejpam-3306	237	7	or	or	CCONJ
ejpam-3306	237	8	intra	intra	ADJ
ejpam-3306	237	9	-	-	ADJ
ejpam-3306	237	10	consistent	consistent	ADJ
ejpam-3306	237	11	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	237	12	,	,	PUNCT
ejpam-3306	237	13	then	then	ADV
ejpam-3306	237	14	arb	arb	VERB
ejpam-3306	237	15	if	if	SCONJ
ejpam-3306	237	16	and	and	CCONJ
ejpam-3306	237	17	only	only	ADV
ejpam-3306	237	18	if	if	SCONJ
ejpam-3306	237	19	r(a	r(a	PROPN
ejpam-3306	237	20	)	)	PUNCT
ejpam-3306	237	21	=	=	SYM
ejpam-3306	237	22	r(b	r(b	PROPN
ejpam-3306	237	23	)	)	PUNCT
ejpam-3306	237	24	.	.	PUNCT
ejpam-3306	238	1	if	if	SCONJ
ejpam-3306	238	2	h	h	NOUN
ejpam-3306	238	3	is	be	AUX
ejpam-3306	238	4	a	a	DET
ejpam-3306	238	5	left	left	ADJ
ejpam-3306	238	6	consistent	consistent	ADJ
ejpam-3306	238	7	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	238	8	,	,	PUNCT
ejpam-3306	238	9	then	then	ADV
ejpam-3306	238	10	alb	alb	VERB
ejpam-3306	238	11	if	if	SCONJ
ejpam-3306	238	12	and	and	CCONJ
ejpam-3306	238	13	only	only	ADV
ejpam-3306	238	14	if	if	SCONJ
ejpam-3306	238	15	l(a	l(a	PROPN
ejpam-3306	238	16	)	)	PUNCT
ejpam-3306	238	17	=	=	SYM
ejpam-3306	238	18	l(b	l(b	PROPN
ejpam-3306	238	19	)	)	PUNCT
ejpam-3306	238	20	.	.	PUNCT
ejpam-3306	239	1	by	by	ADP
ejpam-3306	239	2	propositions	proposition	NOUN
ejpam-3306	239	3	3.9	3.9	NUM
ejpam-3306	239	4	,	,	PUNCT
ejpam-3306	239	5	3.10	3.10	NUM
ejpam-3306	239	6	and	and	CCONJ
ejpam-3306	239	7	3.12	3.12	NUM
ejpam-3306	239	8	or	or	CCONJ
ejpam-3306	239	9	by	by	ADP
ejpam-3306	239	10	corollary	corollary	ADJ
ejpam-3306	239	11	3.19	3.19	NUM
ejpam-3306	239	12	.	.	PUNCT
ejpam-3306	240	1	we	we	PRON
ejpam-3306	240	2	have	have	VERB
ejpam-3306	240	3	the	the	DET
ejpam-3306	240	4	following	follow	VERB
ejpam-3306	240	5	theorem	theorem	ADJ
ejpam-3306	240	6	3.20	3.20	NUM
ejpam-3306	240	7	.	.	PUNCT
ejpam-3306	241	1	if	if	SCONJ
ejpam-3306	241	2	an	an	DET
ejpam-3306	241	3	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	241	4	h	h	NOUN
ejpam-3306	241	5	is	be	AUX
ejpam-3306	241	6	right	right	ADJ
ejpam-3306	241	7	(	(	PUNCT
ejpam-3306	241	8	left	left	ADJ
ejpam-3306	241	9	)	)	PUNCT
ejpam-3306	241	10	consistent	consistent	ADJ
ejpam-3306	241	11	or	or	CCONJ
ejpam-3306	241	12	intra	intra	ADJ
ejpam-3306	241	13	-	-	ADJ
ejpam-3306	241	14	consistent	consistent	ADJ
ejpam-3306	241	15	,	,	PUNCT
ejpam-3306	241	16	then	then	ADV
ejpam-3306	241	17	the	the	DET
ejpam-3306	241	18	relations	relation	NOUN
ejpam-3306	241	19	r	r	NOUN
ejpam-3306	241	20	and	and	CCONJ
ejpam-3306	241	21	l	l	NOUN
ejpam-3306	241	22	are	be	AUX
ejpam-3306	241	23	equivalence	equivalence	NOUN
ejpam-3306	241	24	relations	relation	NOUN
ejpam-3306	241	25	on	on	ADP
ejpam-3306	241	26	h.	h.	PROPN
ejpam-3306	241	27	proposition	proposition	PROPN
ejpam-3306	241	28	3.21	3.21	NUM
ejpam-3306	241	29	.	.	PUNCT
ejpam-3306	242	1	a	a	DET
ejpam-3306	242	2	commutative	commutative	ADJ
ejpam-3306	242	3	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	242	4	h	h	NOUN
ejpam-3306	242	5	is	be	AUX
ejpam-3306	242	6	right	right	ADV
ejpam-3306	242	7	consistent	consistent	ADJ
ejpam-3306	242	8	if	if	SCONJ
ejpam-3306	243	1	and	and	CCONJ
ejpam-3306	243	2	only	only	ADV
ejpam-3306	243	3	if	if	SCONJ
ejpam-3306	243	4	it	it	PRON
ejpam-3306	243	5	is	be	AUX
ejpam-3306	243	6	left	leave	VERB
ejpam-3306	243	7	consistent	consistent	ADJ
ejpam-3306	243	8	and	and	CCONJ
ejpam-3306	243	9	therefore	therefore	ADV
ejpam-3306	243	10	consistent	consistent	ADJ
ejpam-3306	243	11	.	.	PUNCT
ejpam-3306	244	1	proof	proof	NOUN
ejpam-3306	244	2	.	.	PUNCT
ejpam-3306	245	1	=	=	NOUN
ejpam-3306	245	2	⇒.	⇒.	NOUN
ejpam-3306	245	3	let	let	VERB
ejpam-3306	245	4	h	h	NOUN
ejpam-3306	245	5	be	be	AUX
ejpam-3306	245	6	right	right	ADV
ejpam-3306	245	7	consistent	consistent	ADJ
ejpam-3306	245	8	and	and	CCONJ
ejpam-3306	245	9	x	x	X
ejpam-3306	245	10	,	,	PUNCT
ejpam-3306	245	11	y	y	PROPN
ejpam-3306	245	12	∈	∈	PROPN
ejpam-3306	245	13	h.	h.	NOUN
ejpam-3306	246	1	then	then	ADV
ejpam-3306	246	2	we	we	PRON
ejpam-3306	246	3	have	have	VERB
ejpam-3306	246	4	h	h	NOUN
ejpam-3306	246	5	∗	∗	NOUN
ejpam-3306	246	6	(	(	PUNCT
ejpam-3306	246	7	x	x	SYM
ejpam-3306	246	8	◦	◦	VERB
ejpam-3306	246	9	y	y	NOUN
ejpam-3306	246	10	)	)	PUNCT
ejpam-3306	246	11	=	=	PRON
ejpam-3306	247	1	(	(	PUNCT
ejpam-3306	247	2	x	x	SYM
ejpam-3306	247	3	◦	◦	NOUN
ejpam-3306	247	4	y	y	NOUN
ejpam-3306	247	5	)	)	PUNCT
ejpam-3306	247	6	∗h	∗h	NOUN
ejpam-3306	247	7	=	=	SYM
ejpam-3306	247	8	(	(	PUNCT
ejpam-3306	247	9	y	y	PROPN
ejpam-3306	247	10	◦	◦	NOUN
ejpam-3306	247	11	x	x	SYM
ejpam-3306	247	12	)	)	PUNCT
ejpam-3306	247	13	∗h	∗h	NOUN
ejpam-3306	247	14	(	(	PUNCT
ejpam-3306	247	15	since	since	SCONJ
ejpam-3306	247	16	h	h	NOUN
ejpam-3306	247	17	is	be	AUX
ejpam-3306	247	18	commutative	commutative	ADJ
ejpam-3306	247	19	)	)	PUNCT
ejpam-3306	247	20	=	=	SYM
ejpam-3306	247	21	{	{	PUNCT
ejpam-3306	247	22	y	y	NOUN
ejpam-3306	247	23	}	}	PUNCT
ejpam-3306	247	24	∗	∗	NOUN
ejpam-3306	247	25	(	(	PUNCT
ejpam-3306	247	26	x	x	NOUN
ejpam-3306	247	27	∗h	∗h	NOUN
ejpam-3306	247	28	)	)	PUNCT
ejpam-3306	247	29	(	(	PUNCT
ejpam-3306	247	30	since	since	SCONJ
ejpam-3306	247	31	h	h	NOUN
ejpam-3306	247	32	is	be	AUX
ejpam-3306	247	33	right	right	ADV
ejpam-3306	247	34	consistent	consistent	ADJ
ejpam-3306	247	35	)	)	PUNCT
ejpam-3306	247	36	=	=	SYM
ejpam-3306	247	37	{	{	PUNCT
ejpam-3306	247	38	y	y	NOUN
ejpam-3306	247	39	}	}	PUNCT
ejpam-3306	247	40	∗	∗	NOUN
ejpam-3306	247	41	(	(	PUNCT
ejpam-3306	247	42	h	h	NOUN
ejpam-3306	247	43	∗	∗	NOUN
ejpam-3306	247	44	x	x	NOUN
ejpam-3306	247	45	)	)	PUNCT
ejpam-3306	247	46	=	=	SYM
ejpam-3306	248	1	(	(	PUNCT
ejpam-3306	248	2	h	h	NOUN
ejpam-3306	248	3	∗	∗	NOUN
ejpam-3306	248	4	x	x	NOUN
ejpam-3306	248	5	)	)	PUNCT
ejpam-3306	248	6	∗	∗	NOUN
ejpam-3306	248	7	{	{	PUNCT
ejpam-3306	248	8	y	y	NOUN
ejpam-3306	248	9	}	}	PUNCT
ejpam-3306	248	10	(	(	PUNCT
ejpam-3306	248	11	since	since	SCONJ
ejpam-3306	248	12	h	h	NOUN
ejpam-3306	248	13	is	be	AUX
ejpam-3306	248	14	commutative	commutative	ADJ
ejpam-3306	248	15	)	)	PUNCT
ejpam-3306	248	16	so	so	SCONJ
ejpam-3306	248	17	h	h	NOUN
ejpam-3306	248	18	∗	∗	NOUN
ejpam-3306	248	19	(	(	PUNCT
ejpam-3306	248	20	x	x	SYM
ejpam-3306	248	21	◦	◦	VERB
ejpam-3306	248	22	y	y	NOUN
ejpam-3306	248	23	)	)	PUNCT
ejpam-3306	248	24	=	=	PRON
ejpam-3306	248	25	(	(	PUNCT
ejpam-3306	248	26	h	h	NOUN
ejpam-3306	248	27	∗	∗	NOUN
ejpam-3306	248	28	x	x	NOUN
ejpam-3306	248	29	)	)	PUNCT
ejpam-3306	248	30	∗	∗	NOUN
ejpam-3306	248	31	{	{	PUNCT
ejpam-3306	248	32	y	y	NOUN
ejpam-3306	248	33	}	}	PUNCT
ejpam-3306	248	34	,	,	PUNCT
ejpam-3306	248	35	and	and	CCONJ
ejpam-3306	248	36	h	h	NOUN
ejpam-3306	248	37	is	be	AUX
ejpam-3306	248	38	left	leave	VERB
ejpam-3306	248	39	consistent	consistent	ADJ
ejpam-3306	248	40	.	.	PUNCT
ejpam-3306	249	1	⇐	⇐	PROPN
ejpam-3306	249	2	=	=	PRON
ejpam-3306	249	3	.	.	PUNCT
ejpam-3306	250	1	let	let	VERB
ejpam-3306	250	2	h	h	NOUN
ejpam-3306	250	3	be	be	AUX
ejpam-3306	250	4	left	leave	VERB
ejpam-3306	250	5	consistent	consistent	ADJ
ejpam-3306	250	6	and	and	CCONJ
ejpam-3306	250	7	x	x	X
ejpam-3306	251	1	,	,	PUNCT
ejpam-3306	251	2	y	y	PROPN
ejpam-3306	251	3	∈	∈	PROPN
ejpam-3306	251	4	h.	h.	NOUN
ejpam-3306	251	5	then	then	ADV
ejpam-3306	251	6	we	we	PRON
ejpam-3306	251	7	have	have	VERB
ejpam-3306	251	8	(	(	PUNCT
ejpam-3306	251	9	x	x	SYM
ejpam-3306	251	10	◦	◦	VERB
ejpam-3306	251	11	y	y	NOUN
ejpam-3306	251	12	)	)	PUNCT
ejpam-3306	251	13	∗h	∗h	NOUN
ejpam-3306	251	14	=	=	SYM
ejpam-3306	251	15	h	h	NOUN
ejpam-3306	251	16	∗	∗	NOUN
ejpam-3306	251	17	(	(	PUNCT
ejpam-3306	251	18	y	y	PROPN
ejpam-3306	251	19	◦	◦	NOUN
ejpam-3306	251	20	x	x	X
ejpam-3306	251	21	)	)	PUNCT
ejpam-3306	251	22	=	=	SYM
ejpam-3306	251	23	(	(	PUNCT
ejpam-3306	251	24	h	h	PROPN
ejpam-3306	251	25	∗	∗	PROPN
ejpam-3306	251	26	y	y	NOUN
ejpam-3306	251	27	)	)	PUNCT
ejpam-3306	251	28	∗	∗	NOUN
ejpam-3306	251	29	{	{	PUNCT
ejpam-3306	251	30	x	x	NOUN
ejpam-3306	251	31	}	}	PUNCT
ejpam-3306	251	32	=	=	SYM
ejpam-3306	251	33	{	{	PUNCT
ejpam-3306	251	34	x	x	NOUN
ejpam-3306	251	35	}	}	PUNCT
ejpam-3306	251	36	∗	∗	NOUN
ejpam-3306	251	37	(	(	PUNCT
ejpam-3306	251	38	y	y	NOUN
ejpam-3306	251	39	∗h	∗h	NOUN
ejpam-3306	251	40	)	)	PUNCT
ejpam-3306	251	41	,	,	PUNCT
ejpam-3306	251	42	n.	n.	PROPN
ejpam-3306	251	43	kehayopulu	kehayopulu	PROPN
ejpam-3306	251	44	/	/	SYM
ejpam-3306	251	45	eur	eur	PROPN
ejpam-3306	251	46	.	.	PUNCT
ejpam-3306	252	1	j.	j.	PROPN
ejpam-3306	252	2	pure	pure	PROPN
ejpam-3306	252	3	appl	appl	PROPN
ejpam-3306	252	4	.	.	PROPN
ejpam-3306	252	5	math	math	PROPN
ejpam-3306	252	6	,	,	PUNCT
ejpam-3306	252	7	11	11	NUM
ejpam-3306	252	8	(	(	PUNCT
ejpam-3306	252	9	3	3	NUM
ejpam-3306	252	10	)	)	PUNCT
ejpam-3306	252	11	(	(	PUNCT
ejpam-3306	252	12	2018	2018	NUM
ejpam-3306	252	13	)	)	PUNCT
ejpam-3306	252	14	,	,	PUNCT
ejpam-3306	252	15	598	598	NUM
ejpam-3306	252	16	-	-	SYM
ejpam-3306	252	17	611	611	NUM
ejpam-3306	252	18	607	607	NUM
ejpam-3306	252	19	so	so	CCONJ
ejpam-3306	252	20	(	(	PUNCT
ejpam-3306	252	21	x	x	SYM
ejpam-3306	252	22	◦	◦	NOUN
ejpam-3306	252	23	y	y	NOUN
ejpam-3306	252	24	)	)	PUNCT
ejpam-3306	252	25	∗h	∗h	NOUN
ejpam-3306	252	26	=	=	SYM
ejpam-3306	252	27	{	{	PUNCT
ejpam-3306	252	28	x	x	NOUN
ejpam-3306	252	29	}	}	PUNCT
ejpam-3306	252	30	∗	∗	NOUN
ejpam-3306	252	31	(	(	PUNCT
ejpam-3306	252	32	y	y	NOUN
ejpam-3306	252	33	∗h	∗h	NOUN
ejpam-3306	252	34	)	)	PUNCT
ejpam-3306	252	35	,	,	PUNCT
ejpam-3306	252	36	and	and	CCONJ
ejpam-3306	252	37	h	h	NOUN
ejpam-3306	252	38	is	be	AUX
ejpam-3306	252	39	right	right	ADV
ejpam-3306	252	40	consistent	consistent	ADJ
ejpam-3306	252	41	.	.	PUNCT
ejpam-3306	253	1	�	�	PROPN
ejpam-3306	253	2	proposition	proposition	PROPN
ejpam-3306	253	3	3.22	3.22	NUM
ejpam-3306	253	4	.	.	PUNCT
ejpam-3306	254	1	let	let	VERB
ejpam-3306	254	2	h	h	PRON
ejpam-3306	254	3	be	be	AUX
ejpam-3306	254	4	a	a	DET
ejpam-3306	254	5	commutative	commutative	ADJ
ejpam-3306	254	6	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	254	7	.	.	PUNCT
ejpam-3306	255	1	if	if	SCONJ
ejpam-3306	255	2	h	h	NOUN
ejpam-3306	255	3	is	be	AUX
ejpam-3306	255	4	right	right	ADJ
ejpam-3306	255	5	(	(	PUNCT
ejpam-3306	255	6	resp	resp	NOUN
ejpam-3306	255	7	.	.	PUNCT
ejpam-3306	256	1	left	leave	VERB
ejpam-3306	256	2	)	)	PUNCT
ejpam-3306	256	3	consistent	consistent	ADJ
ejpam-3306	256	4	,	,	PUNCT
ejpam-3306	256	5	then	then	ADV
ejpam-3306	256	6	h	h	PROPN
ejpam-3306	256	7	is	be	AUX
ejpam-3306	256	8	intra	intra	ADJ
ejpam-3306	256	9	-	-	ADJ
ejpam-3306	256	10	consistent	consistent	ADJ
ejpam-3306	256	11	.	.	PUNCT
ejpam-3306	257	1	the	the	DET
ejpam-3306	257	2	converse	converse	NOUN
ejpam-3306	257	3	statement	statement	NOUN
ejpam-3306	257	4	does	do	AUX
ejpam-3306	257	5	not	not	PART
ejpam-3306	257	6	hold	hold	VERB
ejpam-3306	257	7	in	in	ADP
ejpam-3306	257	8	general	general	ADJ
ejpam-3306	257	9	.	.	PUNCT
ejpam-3306	258	1	however	however	ADV
ejpam-3306	258	2	,	,	PUNCT
ejpam-3306	258	3	there	there	PRON
ejpam-3306	258	4	are	be	VERB
ejpam-3306	258	5	commutative	commutative	ADJ
ejpam-3306	258	6	intra	intra	ADJ
ejpam-3306	258	7	-	-	ADJ
ejpam-3306	258	8	consistent	consistent	ADJ
ejpam-3306	258	9	hypergroupoids	hypergroupoid	NOUN
ejpam-3306	258	10	that	that	PRON
ejpam-3306	258	11	are	be	AUX
ejpam-3306	258	12	consistent	consistent	ADJ
ejpam-3306	258	13	.	.	PUNCT
ejpam-3306	259	1	proof	proof	NOUN
ejpam-3306	259	2	.	.	PUNCT
ejpam-3306	260	1	let	let	VERB
ejpam-3306	260	2	h	h	PRON
ejpam-3306	260	3	be	be	AUX
ejpam-3306	260	4	right	right	ADV
ejpam-3306	260	5	consistent	consistent	ADJ
ejpam-3306	260	6	and	and	CCONJ
ejpam-3306	260	7	x	x	X
ejpam-3306	261	1	,	,	PUNCT
ejpam-3306	261	2	y	y	PROPN
ejpam-3306	261	3	∈	∈	PROPN
ejpam-3306	261	4	h.	h.	NOUN
ejpam-3306	261	5	then	then	ADV
ejpam-3306	261	6	we	we	PRON
ejpam-3306	261	7	have	have	VERB
ejpam-3306	261	8	(	(	PUNCT
ejpam-3306	261	9	x	x	X
ejpam-3306	261	10	∗h	∗h	NOUN
ejpam-3306	261	11	)	)	PUNCT
ejpam-3306	261	12	∗	∗	NOUN
ejpam-3306	261	13	{	{	PUNCT
ejpam-3306	261	14	y	y	NOUN
ejpam-3306	261	15	}	}	PUNCT
ejpam-3306	261	16	=	=	SYM
ejpam-3306	261	17	{	{	PUNCT
ejpam-3306	261	18	y	y	NOUN
ejpam-3306	261	19	}	}	PUNCT
ejpam-3306	261	20	∗	∗	NOUN
ejpam-3306	261	21	(	(	PUNCT
ejpam-3306	261	22	x	x	NOUN
ejpam-3306	261	23	∗h	∗h	NOUN
ejpam-3306	261	24	)	)	PUNCT
ejpam-3306	261	25	(	(	PUNCT
ejpam-3306	261	26	since	since	SCONJ
ejpam-3306	261	27	h	h	NOUN
ejpam-3306	261	28	is	be	AUX
ejpam-3306	261	29	commutative	commutative	ADJ
ejpam-3306	261	30	)	)	PUNCT
ejpam-3306	261	31	=	=	SYM
ejpam-3306	262	1	(	(	PUNCT
ejpam-3306	262	2	y	y	PROPN
ejpam-3306	262	3	◦	◦	NOUN
ejpam-3306	262	4	x	x	SYM
ejpam-3306	262	5	)	)	PUNCT
ejpam-3306	262	6	∗h	∗h	NOUN
ejpam-3306	262	7	(	(	PUNCT
ejpam-3306	262	8	since	since	SCONJ
ejpam-3306	262	9	h	h	NOUN
ejpam-3306	262	10	is	be	AUX
ejpam-3306	262	11	right	right	ADV
ejpam-3306	262	12	consistent	consistent	ADJ
ejpam-3306	262	13	)	)	PUNCT
ejpam-3306	262	14	=	=	SYM
ejpam-3306	263	1	(	(	PUNCT
ejpam-3306	263	2	x	x	SYM
ejpam-3306	263	3	◦	◦	VERB
ejpam-3306	263	4	y	y	NOUN
ejpam-3306	263	5	)	)	PUNCT
ejpam-3306	263	6	∗h	∗h	NOUN
ejpam-3306	263	7	(	(	PUNCT
ejpam-3306	263	8	since	since	SCONJ
ejpam-3306	263	9	h	h	NOUN
ejpam-3306	263	10	is	be	AUX
ejpam-3306	263	11	commutative	commutative	ADJ
ejpam-3306	263	12	)	)	PUNCT
ejpam-3306	263	13	=	=	SYM
ejpam-3306	263	14	{	{	PUNCT
ejpam-3306	263	15	x	x	NOUN
ejpam-3306	263	16	}	}	PUNCT
ejpam-3306	263	17	∗	∗	NOUN
ejpam-3306	263	18	(	(	PUNCT
ejpam-3306	263	19	y	y	NOUN
ejpam-3306	263	20	∗h	∗h	PROPN
ejpam-3306	263	21	)	)	PUNCT
ejpam-3306	263	22	(	(	PUNCT
ejpam-3306	263	23	since	since	SCONJ
ejpam-3306	263	24	h	h	NOUN
ejpam-3306	263	25	is	be	AUX
ejpam-3306	263	26	right	right	ADV
ejpam-3306	263	27	consistent	consistent	ADJ
ejpam-3306	263	28	)	)	PUNCT
ejpam-3306	263	29	=	=	SYM
ejpam-3306	263	30	{	{	PUNCT
ejpam-3306	263	31	x	x	NOUN
ejpam-3306	263	32	}	}	PUNCT
ejpam-3306	263	33	∗	∗	NOUN
ejpam-3306	263	34	(	(	PUNCT
ejpam-3306	263	35	h	h	PROPN
ejpam-3306	263	36	∗	∗	PROPN
ejpam-3306	263	37	y	y	PROPN
ejpam-3306	263	38	)	)	PUNCT
ejpam-3306	263	39	(	(	PUNCT
ejpam-3306	263	40	since	since	SCONJ
ejpam-3306	263	41	h	h	NOUN
ejpam-3306	263	42	is	be	AUX
ejpam-3306	263	43	commutative	commutative	ADJ
ejpam-3306	263	44	)	)	PUNCT
ejpam-3306	263	45	,	,	PUNCT
ejpam-3306	263	46	so	so	CCONJ
ejpam-3306	263	47	(	(	PUNCT
ejpam-3306	263	48	x	x	NOUN
ejpam-3306	263	49	∗h	∗h	NOUN
ejpam-3306	263	50	)	)	PUNCT
ejpam-3306	263	51	∗	∗	NOUN
ejpam-3306	263	52	{	{	PUNCT
ejpam-3306	263	53	y	y	NOUN
ejpam-3306	263	54	}	}	PUNCT
ejpam-3306	263	55	=	=	SYM
ejpam-3306	263	56	{	{	PUNCT
ejpam-3306	263	57	x	x	NOUN
ejpam-3306	263	58	}	}	PUNCT
ejpam-3306	263	59	∗	∗	NOUN
ejpam-3306	263	60	(	(	PUNCT
ejpam-3306	263	61	h	h	PROPN
ejpam-3306	263	62	∗	∗	PROPN
ejpam-3306	263	63	y	y	PROPN
ejpam-3306	263	64	)	)	PUNCT
ejpam-3306	263	65	,	,	PUNCT
ejpam-3306	263	66	and	and	CCONJ
ejpam-3306	263	67	h	h	NOUN
ejpam-3306	263	68	is	be	AUX
ejpam-3306	263	69	intra	intra	ADJ
ejpam-3306	263	70	-	-	ADJ
ejpam-3306	263	71	consistent	consistent	ADJ
ejpam-3306	263	72	.	.	PUNCT
ejpam-3306	264	1	let	let	VERB
ejpam-3306	264	2	now	now	ADV
ejpam-3306	264	3	h	h	NOUN
ejpam-3306	264	4	be	be	AUX
ejpam-3306	264	5	left	leave	VERB
ejpam-3306	264	6	consistent	consistent	ADJ
ejpam-3306	264	7	and	and	CCONJ
ejpam-3306	264	8	x	x	X
ejpam-3306	265	1	,	,	PUNCT
ejpam-3306	265	2	y	y	PROPN
ejpam-3306	265	3	∈	∈	PROPN
ejpam-3306	265	4	h.	h.	NOUN
ejpam-3306	265	5	then	then	ADV
ejpam-3306	265	6	we	we	PRON
ejpam-3306	265	7	have	have	VERB
ejpam-3306	265	8	(	(	PUNCT
ejpam-3306	265	9	x	x	X
ejpam-3306	265	10	∗h	∗h	NOUN
ejpam-3306	265	11	)	)	PUNCT
ejpam-3306	265	12	∗	∗	NOUN
ejpam-3306	265	13	{	{	PUNCT
ejpam-3306	265	14	y	y	NOUN
ejpam-3306	265	15	}	}	PUNCT
ejpam-3306	265	16	=	=	SYM
ejpam-3306	265	17	(	(	PUNCT
ejpam-3306	265	18	h	h	NOUN
ejpam-3306	265	19	∗	∗	NOUN
ejpam-3306	265	20	x	x	NOUN
ejpam-3306	265	21	)	)	PUNCT
ejpam-3306	265	22	∗	∗	NOUN
ejpam-3306	265	23	{	{	PUNCT
ejpam-3306	265	24	y	y	NOUN
ejpam-3306	265	25	}	}	PUNCT
ejpam-3306	265	26	=	=	SYM
ejpam-3306	265	27	h	h	NOUN
ejpam-3306	265	28	∗	∗	NOUN
ejpam-3306	265	29	(	(	PUNCT
ejpam-3306	265	30	x	x	SYM
ejpam-3306	265	31	◦	◦	VERB
ejpam-3306	265	32	y	y	NOUN
ejpam-3306	265	33	)	)	PUNCT
ejpam-3306	265	34	=	=	SYM
ejpam-3306	266	1	h	h	NOUN
ejpam-3306	266	2	∗	∗	NOUN
ejpam-3306	266	3	(	(	PUNCT
ejpam-3306	266	4	y	y	PROPN
ejpam-3306	266	5	◦	◦	NOUN
ejpam-3306	266	6	x	x	X
ejpam-3306	266	7	)	)	PUNCT
ejpam-3306	266	8	=	=	SYM
ejpam-3306	266	9	(	(	PUNCT
ejpam-3306	266	10	h	h	PROPN
ejpam-3306	266	11	∗	∗	PROPN
ejpam-3306	266	12	y	y	NOUN
ejpam-3306	266	13	)	)	PUNCT
ejpam-3306	266	14	∗	∗	NOUN
ejpam-3306	266	15	{	{	PUNCT
ejpam-3306	266	16	x	x	NOUN
ejpam-3306	266	17	}	}	PUNCT
ejpam-3306	266	18	=	=	SYM
ejpam-3306	266	19	{	{	PUNCT
ejpam-3306	266	20	x	x	NOUN
ejpam-3306	266	21	}	}	PUNCT
ejpam-3306	266	22	∗	∗	NOUN
ejpam-3306	266	23	(	(	PUNCT
ejpam-3306	266	24	h	h	PROPN
ejpam-3306	266	25	∗	∗	PROPN
ejpam-3306	266	26	y	y	PROPN
ejpam-3306	266	27	)	)	PUNCT
ejpam-3306	266	28	,	,	PUNCT
ejpam-3306	266	29	and	and	CCONJ
ejpam-3306	266	30	again	again	ADV
ejpam-3306	266	31	h	h	NOUN
ejpam-3306	266	32	is	be	AUX
ejpam-3306	266	33	intra	intra	ADJ
ejpam-3306	266	34	-	-	ADJ
ejpam-3306	266	35	consistent	consistent	ADJ
ejpam-3306	266	36	.	.	PUNCT
ejpam-3306	267	1	for	for	ADP
ejpam-3306	267	2	the	the	DET
ejpam-3306	267	3	converse	converse	NOUN
ejpam-3306	267	4	statement	statement	NOUN
ejpam-3306	267	5	we	we	PRON
ejpam-3306	267	6	give	give	VERB
ejpam-3306	267	7	the	the	DET
ejpam-3306	267	8	following	follow	VERB
ejpam-3306	267	9	example	example	NOUN
ejpam-3306	267	10	.	.	PUNCT
ejpam-3306	268	1	we	we	PRON
ejpam-3306	268	2	consider	consider	VERB
ejpam-3306	268	3	the	the	DET
ejpam-3306	268	4	commutative	commutative	ADJ
ejpam-3306	268	5	groupoid	groupoid	NOUN
ejpam-3306	268	6	g	g	PROPN
ejpam-3306	268	7	=	=	PUNCT
ejpam-3306	268	8	{	{	PUNCT
ejpam-3306	268	9	a	a	PRON
ejpam-3306	268	10	,	,	PUNCT
ejpam-3306	268	11	b	b	NOUN
ejpam-3306	268	12	,	,	PUNCT
ejpam-3306	268	13	c	c	AUX
ejpam-3306	268	14	}	}	PUNCT
ejpam-3306	268	15	given	give	VERB
ejpam-3306	268	16	by	by	ADP
ejpam-3306	268	17	table	table	NOUN
ejpam-3306	268	18	9	9	NUM
ejpam-3306	268	19	(	(	PUNCT
ejpam-3306	268	20	cf	cf	NOUN
ejpam-3306	268	21	.	.	PUNCT
ejpam-3306	269	1	also	also	ADV
ejpam-3306	269	2	[	[	X
ejpam-3306	269	3	1	1	NUM
ejpam-3306	269	4	;	;	PUNCT
ejpam-3306	269	5	(	(	PUNCT
ejpam-3306	269	6	1.7	1.7	NUM
ejpam-3306	269	7	)	)	PUNCT
ejpam-3306	269	8	example	example	NOUN
ejpam-3306	269	9	]	]	X
ejpam-3306	269	10	)	)	PUNCT
ejpam-3306	269	11	.	.	PUNCT
ejpam-3306	270	1	·	·	PUNCT
ejpam-3306	271	1	a	a	DET
ejpam-3306	271	2	b	b	X
ejpam-3306	271	3	c	c	NOUN
ejpam-3306	271	4	a	a	DET
ejpam-3306	271	5	c	c	PROPN
ejpam-3306	271	6	b	b	PROPN
ejpam-3306	271	7	c	c	PROPN
ejpam-3306	271	8	b	b	PROPN
ejpam-3306	271	9	b	b	PROPN
ejpam-3306	271	10	b	b	PROPN
ejpam-3306	271	11	c	c	NOUN
ejpam-3306	271	12	c	c	NOUN
ejpam-3306	271	13	c	c	NOUN
ejpam-3306	271	14	c	c	NOUN
ejpam-3306	271	15	c	c	PROPN
ejpam-3306	271	16	table	table	NOUN
ejpam-3306	271	17	9	9	NUM
ejpam-3306	271	18	.	.	PUNCT
ejpam-3306	272	1	one	one	PRON
ejpam-3306	272	2	can	can	AUX
ejpam-3306	272	3	check	check	VERB
ejpam-3306	272	4	9	9	NUM
ejpam-3306	272	5	cases	case	NOUN
ejpam-3306	272	6	to	to	PART
ejpam-3306	272	7	see	see	VERB
ejpam-3306	272	8	that	that	SCONJ
ejpam-3306	272	9	this	this	PRON
ejpam-3306	272	10	is	be	AUX
ejpam-3306	272	11	an	an	DET
ejpam-3306	272	12	intra	intra	ADJ
ejpam-3306	272	13	-	-	ADJ
ejpam-3306	272	14	consistent	consistent	ADJ
ejpam-3306	272	15	groupoid	groupoid	NOUN
ejpam-3306	272	16	.	.	PUNCT
ejpam-3306	273	1	according	accord	VERB
ejpam-3306	273	2	to	to	ADP
ejpam-3306	273	3	proposition	proposition	NOUN
ejpam-3306	273	4	3.7	3.7	NUM
ejpam-3306	273	5	,	,	PUNCT
ejpam-3306	273	6	the	the	DET
ejpam-3306	273	7	set	set	NOUN
ejpam-3306	273	8	g	g	NOUN
ejpam-3306	273	9	with	with	ADP
ejpam-3306	273	10	the	the	DET
ejpam-3306	273	11	hyperoperation	hyperoperation	NOUN
ejpam-3306	273	12	defined	define	VERB
ejpam-3306	273	13	by	by	ADP
ejpam-3306	273	14	table	table	NOUN
ejpam-3306	273	15	10	10	NUM
ejpam-3306	273	16	is	be	AUX
ejpam-3306	273	17	an	an	DET
ejpam-3306	273	18	intra	intra	ADJ
ejpam-3306	273	19	-	-	ADJ
ejpam-3306	273	20	consistent	consistent	ADJ
ejpam-3306	273	21	commutative	commutative	ADJ
ejpam-3306	273	22	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	273	23	.	.	PUNCT
ejpam-3306	274	1	◦	◦	VERB
ejpam-3306	274	2	a	a	DET
ejpam-3306	274	3	b	b	NOUN
ejpam-3306	274	4	c	c	X
ejpam-3306	274	5	a	a	DET
ejpam-3306	274	6	{	{	PUNCT
ejpam-3306	274	7	c	c	NOUN
ejpam-3306	274	8	}	}	PUNCT
ejpam-3306	274	9	{	{	PUNCT
ejpam-3306	274	10	b	b	NOUN
ejpam-3306	274	11	}	}	PUNCT
ejpam-3306	274	12	{	{	PUNCT
ejpam-3306	274	13	c	c	NOUN
ejpam-3306	274	14	}	}	PUNCT
ejpam-3306	274	15	b	b	PROPN
ejpam-3306	274	16	{	{	PUNCT
ejpam-3306	274	17	b	b	NOUN
ejpam-3306	274	18	}	}	PUNCT
ejpam-3306	274	19	{	{	PUNCT
ejpam-3306	274	20	b	b	NOUN
ejpam-3306	274	21	}	}	PUNCT
ejpam-3306	274	22	{	{	PUNCT
ejpam-3306	274	23	c	c	NOUN
ejpam-3306	274	24	}	}	PUNCT
ejpam-3306	274	25	c	c	NOUN
ejpam-3306	274	26	{	{	PUNCT
ejpam-3306	274	27	c	c	NOUN
ejpam-3306	274	28	}	}	PUNCT
ejpam-3306	274	29	{	{	PUNCT
ejpam-3306	274	30	c	c	NOUN
ejpam-3306	274	31	}	}	PUNCT
ejpam-3306	274	32	{	{	PUNCT
ejpam-3306	274	33	c	c	NOUN
ejpam-3306	274	34	}	}	PUNCT
ejpam-3306	274	35	table	table	NOUN
ejpam-3306	274	36	10	10	NUM
ejpam-3306	274	37	.	.	PUNCT
ejpam-3306	275	1	this	this	PRON
ejpam-3306	275	2	is	be	AUX
ejpam-3306	275	3	not	not	PART
ejpam-3306	275	4	right	right	ADV
ejpam-3306	275	5	regular	regular	ADJ
ejpam-3306	275	6	because	because	SCONJ
ejpam-3306	275	7	(	(	PUNCT
ejpam-3306	275	8	a	a	DET
ejpam-3306	275	9	◦	◦	NOUN
ejpam-3306	275	10	a	a	X
ejpam-3306	275	11	)	)	PUNCT
ejpam-3306	275	12	∗h	∗h	NOUN
ejpam-3306	275	13	=	=	SYM
ejpam-3306	275	14	{	{	PUNCT
ejpam-3306	275	15	c	c	NOUN
ejpam-3306	275	16	}	}	PUNCT
ejpam-3306	275	17	and	and	CCONJ
ejpam-3306	275	18	{	{	PUNCT
ejpam-3306	275	19	a	a	PRON
ejpam-3306	275	20	}	}	PUNCT
ejpam-3306	275	21	∗	∗	NOUN
ejpam-3306	275	22	(	(	PUNCT
ejpam-3306	275	23	a	a	DET
ejpam-3306	275	24	∗h	∗h	NOUN
ejpam-3306	275	25	)	)	PUNCT
ejpam-3306	275	26	=	=	SYM
ejpam-3306	275	27	{	{	PUNCT
ejpam-3306	275	28	b	b	NOUN
ejpam-3306	275	29	,	,	PUNCT
ejpam-3306	275	30	c	c	NOUN
ejpam-3306	275	31	}	}	PUNCT
ejpam-3306	275	32	.	.	PUNCT
ejpam-3306	276	1	as	as	SCONJ
ejpam-3306	276	2	(	(	PUNCT
ejpam-3306	276	3	g	g	NOUN
ejpam-3306	276	4	,	,	PUNCT
ejpam-3306	276	5	◦	◦	NOUN
ejpam-3306	276	6	)	)	PUNCT
ejpam-3306	276	7	is	be	AUX
ejpam-3306	276	8	commutative	commutative	ADJ
ejpam-3306	276	9	,	,	PUNCT
ejpam-3306	276	10	this	this	PRON
ejpam-3306	276	11	is	be	AUX
ejpam-3306	276	12	not	not	PART
ejpam-3306	276	13	left	leave	VERB
ejpam-3306	276	14	consistent	consistent	ADJ
ejpam-3306	276	15	as	as	ADV
ejpam-3306	276	16	well	well	ADV
ejpam-3306	276	17	.	.	PUNCT
ejpam-3306	277	1	we	we	PRON
ejpam-3306	277	2	prove	prove	VERB
ejpam-3306	277	3	the	the	DET
ejpam-3306	277	4	last	last	ADJ
ejpam-3306	277	5	part	part	NOUN
ejpam-3306	277	6	of	of	ADP
ejpam-3306	277	7	the	the	DET
ejpam-3306	277	8	proposition	proposition	NOUN
ejpam-3306	277	9	by	by	ADP
ejpam-3306	277	10	the	the	DET
ejpam-3306	277	11	following	follow	VERB
ejpam-3306	277	12	example	example	NOUN
ejpam-3306	277	13	.	.	PUNCT
ejpam-3306	278	1	applying	apply	VERB
ejpam-3306	278	2	proposition	proposition	NOUN
ejpam-3306	278	3	3.7	3.7	NUM
ejpam-3306	278	4	in	in	ADP
ejpam-3306	278	5	the	the	DET
ejpam-3306	278	6	groupoid	groupoid	NOUN
ejpam-3306	278	7	given	give	VERB
ejpam-3306	278	8	in	in	ADP
ejpam-3306	278	9	[	[	NOUN
ejpam-3306	278	10	1	1	NUM
ejpam-3306	278	11	;	;	PUNCT
ejpam-3306	278	12	(	(	PUNCT
ejpam-3306	278	13	1.8	1.8	NUM
ejpam-3306	278	14	)	)	PUNCT
ejpam-3306	278	15	example	example	NOUN
ejpam-3306	278	16	]	]	PUNCT
ejpam-3306	278	17	we	we	PRON
ejpam-3306	278	18	get	get	VERB
ejpam-3306	278	19	the	the	DET
ejpam-3306	278	20	hypergroupopoid	hypergroupopoid	NOUN
ejpam-3306	278	21	g	g	PROPN
ejpam-3306	278	22	=	=	PUNCT
ejpam-3306	278	23	{	{	PUNCT
ejpam-3306	278	24	a	a	DET
ejpam-3306	278	25	,	,	PUNCT
ejpam-3306	278	26	b	b	NOUN
ejpam-3306	278	27	,	,	PUNCT
ejpam-3306	278	28	c	c	NOUN
ejpam-3306	278	29	}	}	PUNCT
ejpam-3306	278	30	defined	define	VERB
ejpam-3306	278	31	by	by	ADP
ejpam-3306	278	32	table	table	NOUN
ejpam-3306	278	33	11	11	NUM
ejpam-3306	278	34	.	.	PUNCT
ejpam-3306	279	1	n.	n.	PROPN
ejpam-3306	279	2	kehayopulu	kehayopulu	PROPN
ejpam-3306	279	3	/	/	SYM
ejpam-3306	279	4	eur	eur	PROPN
ejpam-3306	279	5	.	.	PUNCT
ejpam-3306	280	1	j.	j.	PROPN
ejpam-3306	280	2	pure	pure	PROPN
ejpam-3306	280	3	appl	appl	PROPN
ejpam-3306	280	4	.	.	PROPN
ejpam-3306	280	5	math	math	PROPN
ejpam-3306	280	6	,	,	PUNCT
ejpam-3306	280	7	11	11	NUM
ejpam-3306	280	8	(	(	PUNCT
ejpam-3306	280	9	3	3	NUM
ejpam-3306	280	10	)	)	PUNCT
ejpam-3306	280	11	(	(	PUNCT
ejpam-3306	280	12	2018	2018	NUM
ejpam-3306	280	13	)	)	PUNCT
ejpam-3306	280	14	,	,	PUNCT
ejpam-3306	280	15	598	598	NUM
ejpam-3306	280	16	-	-	SYM
ejpam-3306	280	17	611	611	NUM
ejpam-3306	280	18	608	608	NUM
ejpam-3306	280	19	◦	◦	NOUN
ejpam-3306	280	20	a	a	DET
ejpam-3306	280	21	b	b	NOUN
ejpam-3306	280	22	c	c	X
ejpam-3306	280	23	a	a	DET
ejpam-3306	280	24	{	{	PUNCT
ejpam-3306	280	25	c	c	NOUN
ejpam-3306	280	26	}	}	PUNCT
ejpam-3306	280	27	{	{	PUNCT
ejpam-3306	280	28	c	c	NOUN
ejpam-3306	280	29	}	}	PUNCT
ejpam-3306	280	30	{	{	PUNCT
ejpam-3306	280	31	a	a	DET
ejpam-3306	280	32	}	}	PUNCT
ejpam-3306	280	33	b	b	PROPN
ejpam-3306	280	34	{	{	PUNCT
ejpam-3306	280	35	c	c	NOUN
ejpam-3306	280	36	}	}	PUNCT
ejpam-3306	280	37	{	{	PUNCT
ejpam-3306	280	38	a	a	NOUN
ejpam-3306	280	39	}	}	PUNCT
ejpam-3306	280	40	{	{	PUNCT
ejpam-3306	280	41	a	a	PRON
ejpam-3306	280	42	}	}	PUNCT
ejpam-3306	280	43	c	c	NOUN
ejpam-3306	280	44	{	{	PUNCT
ejpam-3306	280	45	a	a	NOUN
ejpam-3306	280	46	}	}	PUNCT
ejpam-3306	280	47	{	{	PUNCT
ejpam-3306	280	48	a	a	NOUN
ejpam-3306	280	49	}	}	PUNCT
ejpam-3306	280	50	{	{	PUNCT
ejpam-3306	280	51	c	c	NOUN
ejpam-3306	280	52	}	}	PUNCT
ejpam-3306	280	53	table	table	NOUN
ejpam-3306	280	54	11	11	NUM
ejpam-3306	280	55	.	.	PUNCT
ejpam-3306	281	1	this	this	PRON
ejpam-3306	281	2	is	be	AUX
ejpam-3306	281	3	a	a	DET
ejpam-3306	281	4	commutative	commutative	ADJ
ejpam-3306	281	5	,	,	PUNCT
ejpam-3306	281	6	intra	intra	ADJ
ejpam-3306	281	7	-	-	ADJ
ejpam-3306	281	8	consistent	consistent	ADJ
ejpam-3306	281	9	and	and	CCONJ
ejpam-3306	281	10	consistent	consistent	ADJ
ejpam-3306	281	11	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	281	12	.	.	PUNCT
ejpam-3306	282	1	�	�	PROPN
ejpam-3306	282	2	lemma	lemma	PROPN
ejpam-3306	282	3	3.23	3.23	NUM
ejpam-3306	282	4	.	.	PUNCT
ejpam-3306	283	1	if	if	SCONJ
ejpam-3306	283	2	h	h	NOUN
ejpam-3306	283	3	is	be	AUX
ejpam-3306	283	4	an	an	DET
ejpam-3306	283	5	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	283	6	then	then	ADV
ejpam-3306	283	7	,	,	PUNCT
ejpam-3306	283	8	for	for	ADP
ejpam-3306	283	9	any	any	DET
ejpam-3306	283	10	nonempty	nonempty	ADJ
ejpam-3306	283	11	subsets	subset	NOUN
ejpam-3306	283	12	a	a	DET
ejpam-3306	283	13	,	,	PUNCT
ejpam-3306	283	14	b	b	NOUN
ejpam-3306	283	15	,	,	PUNCT
ejpam-3306	283	16	c	c	PROPN
ejpam-3306	283	17	of	of	ADP
ejpam-3306	283	18	h	h	NOUN
ejpam-3306	283	19	,	,	PUNCT
ejpam-3306	283	20	we	we	PRON
ejpam-3306	283	21	have	have	VERB
ejpam-3306	283	22	(	(	PUNCT
ejpam-3306	283	23	1	1	X
ejpam-3306	283	24	)	)	PUNCT
ejpam-3306	283	25	a	a	DET
ejpam-3306	283	26	∗	∗	NOUN
ejpam-3306	283	27	(	(	PUNCT
ejpam-3306	283	28	b	b	NOUN
ejpam-3306	283	29	∪	∪	X
ejpam-3306	283	30	c	c	NOUN
ejpam-3306	283	31	)	)	PUNCT
ejpam-3306	283	32	=	=	SYM
ejpam-3306	283	33	(	(	PUNCT
ejpam-3306	283	34	a	a	DET
ejpam-3306	283	35	∗b	∗b	NOUN
ejpam-3306	283	36	)	)	PUNCT
ejpam-3306	283	37	∪	∪	NOUN
ejpam-3306	283	38	(	(	PUNCT
ejpam-3306	283	39	a	a	DET
ejpam-3306	283	40	∗	∗	NOUN
ejpam-3306	283	41	c	c	NOUN
ejpam-3306	283	42	)	)	PUNCT
ejpam-3306	283	43	and	and	CCONJ
ejpam-3306	283	44	(	(	PUNCT
ejpam-3306	283	45	2	2	X
ejpam-3306	283	46	)	)	PUNCT
ejpam-3306	283	47	(	(	PUNCT
ejpam-3306	283	48	a	a	DET
ejpam-3306	283	49	∪b	∪b	NOUN
ejpam-3306	283	50	)	)	PUNCT
ejpam-3306	284	1	∗	∗	NOUN
ejpam-3306	284	2	c	c	NOUN
ejpam-3306	285	1	=	=	SYM
ejpam-3306	286	1	(	(	PUNCT
ejpam-3306	286	2	a	a	DET
ejpam-3306	286	3	∗	∗	NOUN
ejpam-3306	286	4	c	c	NOUN
ejpam-3306	286	5	)	)	PUNCT
ejpam-3306	286	6	∪	∪	NOUN
ejpam-3306	286	7	(	(	PUNCT
ejpam-3306	286	8	b	b	NOUN
ejpam-3306	286	9	∗	∗	NOUN
ejpam-3306	286	10	c	c	NOUN
ejpam-3306	286	11	)	)	PUNCT
ejpam-3306	286	12	.	.	PUNCT
ejpam-3306	287	1	proof	proof	NOUN
ejpam-3306	287	2	.	.	PUNCT
ejpam-3306	288	1	(	(	PUNCT
ejpam-3306	288	2	1	1	X
ejpam-3306	288	3	)	)	PUNCT
ejpam-3306	288	4	since	since	SCONJ
ejpam-3306	288	5	b	b	PROPN
ejpam-3306	288	6	∪	∪	ADP
ejpam-3306	288	7	c	c	PROPN
ejpam-3306	288	8	⊇	⊇	PROPN
ejpam-3306	288	9	b	b	PROPN
ejpam-3306	288	10	,	,	PUNCT
ejpam-3306	288	11	c	c	AUX
ejpam-3306	288	12	,	,	PUNCT
ejpam-3306	288	13	we	we	PRON
ejpam-3306	288	14	have	have	VERB
ejpam-3306	288	15	a	a	DET
ejpam-3306	288	16	∗	∗	NOUN
ejpam-3306	288	17	(	(	PUNCT
ejpam-3306	288	18	b	b	NOUN
ejpam-3306	288	19	∪	∪	ADJ
ejpam-3306	288	20	c	c	NOUN
ejpam-3306	288	21	)	)	PUNCT
ejpam-3306	288	22	⊇	⊇	NOUN
ejpam-3306	288	23	a	a	DET
ejpam-3306	288	24	∗	∗	NOUN
ejpam-3306	288	25	b	b	NOUN
ejpam-3306	288	26	,	,	PUNCT
ejpam-3306	288	27	a	a	DET
ejpam-3306	288	28	∗	∗	NOUN
ejpam-3306	288	29	c	c	NOUN
ejpam-3306	288	30	,	,	PUNCT
ejpam-3306	288	31	so	so	SCONJ
ejpam-3306	288	32	a	a	DET
ejpam-3306	288	33	∗	∗	NOUN
ejpam-3306	288	34	(	(	PUNCT
ejpam-3306	288	35	b	b	NOUN
ejpam-3306	288	36	∪	∪	ADJ
ejpam-3306	288	37	c	c	NOUN
ejpam-3306	288	38	)	)	PUNCT
ejpam-3306	288	39	⊇	⊇	NOUN
ejpam-3306	288	40	(	(	PUNCT
ejpam-3306	288	41	a	a	DET
ejpam-3306	288	42	∗	∗	NOUN
ejpam-3306	288	43	b	b	NOUN
ejpam-3306	288	44	)	)	PUNCT
ejpam-3306	288	45	∪	∪	NOUN
ejpam-3306	288	46	(	(	PUNCT
ejpam-3306	288	47	a	a	DET
ejpam-3306	288	48	∗	∗	NOUN
ejpam-3306	288	49	c	c	NOUN
ejpam-3306	288	50	)	)	PUNCT
ejpam-3306	288	51	.	.	PUNCT
ejpam-3306	289	1	let	let	VERB
ejpam-3306	289	2	now	now	ADV
ejpam-3306	289	3	x	x	X
ejpam-3306	289	4	∈	∈	PROPN
ejpam-3306	289	5	(	(	PUNCT
ejpam-3306	289	6	a	a	DET
ejpam-3306	289	7	∗	∗	NOUN
ejpam-3306	289	8	b	b	NOUN
ejpam-3306	289	9	)	)	PUNCT
ejpam-3306	289	10	∪	∪	NOUN
ejpam-3306	289	11	(	(	PUNCT
ejpam-3306	289	12	a	a	DET
ejpam-3306	289	13	∗	∗	NOUN
ejpam-3306	289	14	c	c	NOUN
ejpam-3306	289	15	)	)	PUNCT
ejpam-3306	289	16	.	.	PUNCT
ejpam-3306	290	1	if	if	SCONJ
ejpam-3306	290	2	x	x	SYM
ejpam-3306	290	3	∈	∈	PROPN
ejpam-3306	290	4	a	a	DET
ejpam-3306	290	5	∗	∗	NOUN
ejpam-3306	290	6	b	b	NOUN
ejpam-3306	290	7	,	,	PUNCT
ejpam-3306	290	8	then	then	ADV
ejpam-3306	290	9	x	x	PART
ejpam-3306	290	10	∈	∈	PROPN
ejpam-3306	290	11	a	a	DET
ejpam-3306	290	12	◦	◦	NOUN
ejpam-3306	290	13	b	b	NOUN
ejpam-3306	290	14	for	for	ADP
ejpam-3306	290	15	some	some	DET
ejpam-3306	290	16	a	a	DET
ejpam-3306	290	17	∈	∈	PROPN
ejpam-3306	290	18	a	a	PRON
ejpam-3306	290	19	,	,	PUNCT
ejpam-3306	290	20	b	b	PROPN
ejpam-3306	290	21	∈	∈	ADP
ejpam-3306	290	22	b	b	X
ejpam-3306	290	23	⊆	⊆	NUM
ejpam-3306	290	24	b	b	NOUN
ejpam-3306	290	25	∪	∪	X
ejpam-3306	290	26	c	c	NOUN
ejpam-3306	290	27	,	,	PUNCT
ejpam-3306	290	28	so	so	ADV
ejpam-3306	290	29	x	x	SYM
ejpam-3306	290	30	∈	∈	PROPN
ejpam-3306	290	31	a	a	DET
ejpam-3306	290	32	◦	◦	NOUN
ejpam-3306	290	33	b	b	NOUN
ejpam-3306	290	34	⊆	⊆	NUM
ejpam-3306	290	35	a	a	DET
ejpam-3306	290	36	∗	∗	NOUN
ejpam-3306	290	37	(	(	PUNCT
ejpam-3306	290	38	b	b	NOUN
ejpam-3306	290	39	∪	∪	X
ejpam-3306	290	40	c	c	NOUN
ejpam-3306	290	41	)	)	PUNCT
ejpam-3306	290	42	.	.	PUNCT
ejpam-3306	291	1	if	if	SCONJ
ejpam-3306	291	2	x	x	SYM
ejpam-3306	291	3	∈	∈	PROPN
ejpam-3306	291	4	a	a	DET
ejpam-3306	291	5	∗	∗	NOUN
ejpam-3306	291	6	c	c	NOUN
ejpam-3306	291	7	,	,	PUNCT
ejpam-3306	291	8	then	then	ADV
ejpam-3306	291	9	x	x	PART
ejpam-3306	291	10	∈	∈	PROPN
ejpam-3306	291	11	a	a	DET
ejpam-3306	291	12	◦	◦	NOUN
ejpam-3306	291	13	c	c	NOUN
ejpam-3306	291	14	for	for	ADP
ejpam-3306	291	15	some	some	DET
ejpam-3306	291	16	a	a	DET
ejpam-3306	291	17	∈	∈	PROPN
ejpam-3306	291	18	a	a	PRON
ejpam-3306	291	19	,	,	PUNCT
ejpam-3306	291	20	c	c	PROPN
ejpam-3306	291	21	∈	∈	PROPN
ejpam-3306	291	22	c	c	NOUN
ejpam-3306	291	23	,	,	PUNCT
ejpam-3306	291	24	then	then	ADV
ejpam-3306	291	25	again	again	ADV
ejpam-3306	291	26	x	x	X
ejpam-3306	291	27	∈	∈	PROPN
ejpam-3306	291	28	a	a	DET
ejpam-3306	291	29	∗	∗	NOUN
ejpam-3306	291	30	(	(	PUNCT
ejpam-3306	291	31	b	b	NOUN
ejpam-3306	291	32	∪	∪	X
ejpam-3306	291	33	c	c	NOUN
ejpam-3306	291	34	)	)	PUNCT
ejpam-3306	291	35	and	and	CCONJ
ejpam-3306	291	36	(	(	PUNCT
ejpam-3306	291	37	1	1	X
ejpam-3306	291	38	)	)	PUNCT
ejpam-3306	291	39	holds	hold	VERB
ejpam-3306	291	40	.	.	PUNCT
ejpam-3306	292	1	the	the	DET
ejpam-3306	292	2	proof	proof	NOUN
ejpam-3306	292	3	of	of	ADP
ejpam-3306	292	4	condition	condition	NOUN
ejpam-3306	292	5	(	(	PUNCT
ejpam-3306	292	6	2	2	X
ejpam-3306	292	7	)	)	PUNCT
ejpam-3306	292	8	is	be	AUX
ejpam-3306	292	9	similar	similar	ADJ
ejpam-3306	292	10	.	.	PUNCT
ejpam-3306	293	1	�	�	PROPN
ejpam-3306	293	2	proposition	proposition	NOUN
ejpam-3306	293	3	3.24	3.24	NUM
ejpam-3306	293	4	.	.	PUNCT
ejpam-3306	294	1	if	if	SCONJ
ejpam-3306	294	2	an	an	DET
ejpam-3306	294	3	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	294	4	h	h	NOUN
ejpam-3306	294	5	is	be	AUX
ejpam-3306	294	6	right	right	ADJ
ejpam-3306	294	7	(	(	PUNCT
ejpam-3306	294	8	resp	resp	NOUN
ejpam-3306	294	9	.	.	PUNCT
ejpam-3306	295	1	left	leave	VERB
ejpam-3306	295	2	)	)	PUNCT
ejpam-3306	296	1	consistent	consistent	ADJ
ejpam-3306	296	2	,	,	PUNCT
ejpam-3306	296	3	(	(	PUNCT
ejpam-3306	296	4	a	a	DET
ejpam-3306	296	5	,	,	PUNCT
ejpam-3306	296	6	b	b	NOUN
ejpam-3306	296	7	)	)	PUNCT
ejpam-3306	296	8	∈	∈	PROPN
ejpam-3306	296	9	r	r	NOUN
ejpam-3306	296	10	(	(	PUNCT
ejpam-3306	296	11	resp	resp	NOUN
ejpam-3306	296	12	.	.	PUNCT
ejpam-3306	297	1	(	(	PUNCT
ejpam-3306	297	2	a	a	PRON
ejpam-3306	297	3	,	,	PUNCT
ejpam-3306	297	4	b	b	NOUN
ejpam-3306	297	5	)	)	PUNCT
ejpam-3306	297	6	∈	∈	PROPN
ejpam-3306	297	7	l	l	NOUN
ejpam-3306	297	8	)	)	PUNCT
ejpam-3306	298	1	and	and	CCONJ
ejpam-3306	298	2	c	c	NOUN
ejpam-3306	298	3	∈	∈	PROPN
ejpam-3306	298	4	h	h	NOUN
ejpam-3306	298	5	,	,	PUNCT
ejpam-3306	298	6	then	then	ADV
ejpam-3306	298	7	we	we	PRON
ejpam-3306	298	8	have	have	VERB
ejpam-3306	298	9	r(c	r(c	ADJ
ejpam-3306	298	10	◦	◦	NOUN
ejpam-3306	298	11	a	a	X
ejpam-3306	298	12	)	)	PUNCT
ejpam-3306	298	13	=	=	PUNCT
ejpam-3306	299	1	r(c	r(c	NUM
ejpam-3306	299	2	◦	◦	NOUN
ejpam-3306	299	3	b	b	NOUN
ejpam-3306	299	4	)	)	PUNCT
ejpam-3306	299	5	(	(	PUNCT
ejpam-3306	299	6	resp	resp	NOUN
ejpam-3306	299	7	.	.	PUNCT
ejpam-3306	300	1	l(a	l(a	PROPN
ejpam-3306	300	2	◦	◦	NOUN
ejpam-3306	300	3	c	c	X
ejpam-3306	300	4	)	)	PUNCT
ejpam-3306	300	5	=	=	SYM
ejpam-3306	300	6	l(b	l(b	PROPN
ejpam-3306	300	7	◦	◦	NOUN
ejpam-3306	300	8	c	c	NOUN
ejpam-3306	300	9	)	)	PUNCT
ejpam-3306	300	10	)	)	PUNCT
ejpam-3306	300	11	.	.	PUNCT
ejpam-3306	301	1	proof	proof	NOUN
ejpam-3306	301	2	.	.	PUNCT
ejpam-3306	302	1	let	let	VERB
ejpam-3306	302	2	h	h	PRON
ejpam-3306	302	3	be	be	AUX
ejpam-3306	302	4	right	right	ADV
ejpam-3306	302	5	consistent	consistent	ADJ
ejpam-3306	302	6	,	,	PUNCT
ejpam-3306	302	7	(	(	PUNCT
ejpam-3306	302	8	a	a	DET
ejpam-3306	302	9	,	,	PUNCT
ejpam-3306	302	10	b	b	NOUN
ejpam-3306	302	11	)	)	PUNCT
ejpam-3306	302	12	∈	∈	PROPN
ejpam-3306	302	13	r	r	NOUN
ejpam-3306	302	14	and	and	CCONJ
ejpam-3306	302	15	c	c	PROPN
ejpam-3306	302	16	∈	∈	PROPN
ejpam-3306	302	17	h.	h.	PROPN
ejpam-3306	302	18	then	then	ADV
ejpam-3306	302	19	r(c	r(c	VERB
ejpam-3306	302	20	◦	◦	NOUN
ejpam-3306	302	21	a	a	X
ejpam-3306	302	22	)	)	PUNCT
ejpam-3306	302	23	=	=	PUNCT
ejpam-3306	303	1	r(c	r(c	NUM
ejpam-3306	303	2	◦	◦	NOUN
ejpam-3306	303	3	b	b	NOUN
ejpam-3306	303	4	)	)	PUNCT
ejpam-3306	303	5	.	.	PUNCT
ejpam-3306	304	1	indeed	indeed	ADV
ejpam-3306	304	2	:	:	PUNCT
ejpam-3306	304	3	r(c	r(c	ADJ
ejpam-3306	304	4	◦	◦	NOUN
ejpam-3306	304	5	a	a	X
ejpam-3306	304	6	)	)	PUNCT
ejpam-3306	304	7	=	=	SYM
ejpam-3306	305	1	(	(	PUNCT
ejpam-3306	305	2	c	c	AUX
ejpam-3306	305	3	◦	◦	VERB
ejpam-3306	305	4	a	a	X
ejpam-3306	305	5	)	)	PUNCT
ejpam-3306	305	6	∪	∪	NOUN
ejpam-3306	305	7	(	(	PUNCT
ejpam-3306	305	8	(	(	PUNCT
ejpam-3306	305	9	c	c	X
ejpam-3306	305	10	◦	◦	NOUN
ejpam-3306	305	11	a	a	X
ejpam-3306	305	12	)	)	PUNCT
ejpam-3306	305	13	∗h	∗h	NOUN
ejpam-3306	305	14	)	)	PUNCT
ejpam-3306	305	15	(	(	PUNCT
ejpam-3306	305	16	by	by	ADP
ejpam-3306	305	17	corollary	corollary	ADJ
ejpam-3306	305	18	3.18	3.18	NUM
ejpam-3306	305	19	)	)	PUNCT
ejpam-3306	305	20	=	=	SYM
ejpam-3306	305	21	(	(	PUNCT
ejpam-3306	305	22	{	{	PUNCT
ejpam-3306	305	23	c	c	NOUN
ejpam-3306	305	24	}	}	PUNCT
ejpam-3306	305	25	∗	∗	NOUN
ejpam-3306	305	26	{	{	PUNCT
ejpam-3306	305	27	a	a	NOUN
ejpam-3306	305	28	}	}	PUNCT
ejpam-3306	305	29	)	)	PUNCT
ejpam-3306	305	30	∪	∪	NOUN
ejpam-3306	305	31	(	(	PUNCT
ejpam-3306	305	32	{	{	PUNCT
ejpam-3306	305	33	c	c	NOUN
ejpam-3306	305	34	}	}	PUNCT
ejpam-3306	305	35	∗	∗	NOUN
ejpam-3306	305	36	(	(	PUNCT
ejpam-3306	305	37	a	a	DET
ejpam-3306	305	38	∗h	∗h	NOUN
ejpam-3306	305	39	)	)	PUNCT
ejpam-3306	305	40	)	)	PUNCT
ejpam-3306	306	1	(	(	PUNCT
ejpam-3306	306	2	since	since	SCONJ
ejpam-3306	306	3	h	h	NOUN
ejpam-3306	306	4	is	be	AUX
ejpam-3306	306	5	right	right	ADV
ejpam-3306	306	6	consistent	consistent	ADJ
ejpam-3306	306	7	)	)	PUNCT
ejpam-3306	306	8	=	=	SYM
ejpam-3306	306	9	{	{	PUNCT
ejpam-3306	306	10	c	c	NOUN
ejpam-3306	306	11	}	}	PUNCT
ejpam-3306	306	12	∗	∗	NOUN
ejpam-3306	306	13	(	(	PUNCT
ejpam-3306	306	14	{	{	PUNCT
ejpam-3306	306	15	a	a	PRON
ejpam-3306	306	16	}	}	PUNCT
ejpam-3306	306	17	∪	∪	NOUN
ejpam-3306	306	18	(	(	PUNCT
ejpam-3306	306	19	a	a	DET
ejpam-3306	306	20	∗h	∗h	NOUN
ejpam-3306	306	21	)	)	PUNCT
ejpam-3306	306	22	)	)	PUNCT
ejpam-3306	306	23	(	(	PUNCT
ejpam-3306	306	24	by	by	ADP
ejpam-3306	306	25	lemma	lemma	PROPN
ejpam-3306	306	26	3.23	3.23	NUM
ejpam-3306	306	27	)	)	PUNCT
ejpam-3306	306	28	=	=	PRON
ejpam-3306	306	29	{	{	PUNCT
ejpam-3306	306	30	c	c	NOUN
ejpam-3306	306	31	}	}	PUNCT
ejpam-3306	306	32	∗	∗	NOUN
ejpam-3306	306	33	(	(	PUNCT
ejpam-3306	306	34	{	{	PUNCT
ejpam-3306	306	35	b	b	NOUN
ejpam-3306	306	36	}	}	PUNCT
ejpam-3306	306	37	∪	∪	NOUN
ejpam-3306	306	38	(	(	PUNCT
ejpam-3306	306	39	b	b	NOUN
ejpam-3306	306	40	∗h	∗h	NOUN
ejpam-3306	306	41	)	)	PUNCT
ejpam-3306	306	42	)	)	PUNCT
ejpam-3306	306	43	(	(	PUNCT
ejpam-3306	306	44	by	by	ADP
ejpam-3306	306	45	proposition	proposition	NOUN
ejpam-3306	306	46	3.9	3.9	NUM
ejpam-3306	306	47	)	)	PUNCT
ejpam-3306	306	48	=	=	NOUN
ejpam-3306	306	49	(	(	PUNCT
ejpam-3306	306	50	{	{	PUNCT
ejpam-3306	306	51	c	c	NOUN
ejpam-3306	306	52	}	}	PUNCT
ejpam-3306	306	53	∗	∗	NOUN
ejpam-3306	306	54	{	{	PUNCT
ejpam-3306	306	55	b	b	NOUN
ejpam-3306	306	56	}	}	PUNCT
ejpam-3306	306	57	)	)	PUNCT
ejpam-3306	306	58	∪	∪	NOUN
ejpam-3306	306	59	(	(	PUNCT
ejpam-3306	306	60	{	{	PUNCT
ejpam-3306	306	61	c	c	NOUN
ejpam-3306	306	62	}	}	PUNCT
ejpam-3306	306	63	∗	∗	NOUN
ejpam-3306	306	64	(	(	PUNCT
ejpam-3306	306	65	b	b	NOUN
ejpam-3306	306	66	∗h	∗h	NOUN
ejpam-3306	306	67	)	)	PUNCT
ejpam-3306	306	68	)	)	PUNCT
ejpam-3306	307	1	(	(	PUNCT
ejpam-3306	307	2	by	by	ADP
ejpam-3306	307	3	lemma	lemma	PROPN
ejpam-3306	307	4	3.23	3.23	NUM
ejpam-3306	307	5	)	)	PUNCT
ejpam-3306	307	6	=	=	PUNCT
ejpam-3306	307	7	(	(	PUNCT
ejpam-3306	307	8	c	c	NOUN
ejpam-3306	307	9	◦	◦	NOUN
ejpam-3306	307	10	b	b	NOUN
ejpam-3306	307	11	)	)	PUNCT
ejpam-3306	307	12	∪	∪	NOUN
ejpam-3306	307	13	(	(	PUNCT
ejpam-3306	307	14	(	(	PUNCT
ejpam-3306	307	15	c	c	NOUN
ejpam-3306	307	16	◦	◦	NOUN
ejpam-3306	307	17	b	b	NUM
ejpam-3306	307	18	)	)	PUNCT
ejpam-3306	307	19	∗h	∗h	NOUN
ejpam-3306	307	20	)	)	PUNCT
ejpam-3306	307	21	(	(	PUNCT
ejpam-3306	307	22	since	since	SCONJ
ejpam-3306	307	23	h	h	NOUN
ejpam-3306	307	24	is	be	AUX
ejpam-3306	307	25	right	right	ADV
ejpam-3306	307	26	consistent	consistent	ADJ
ejpam-3306	307	27	)	)	PUNCT
ejpam-3306	307	28	=	=	PUNCT
ejpam-3306	308	1	r(c	r(c	NUM
ejpam-3306	308	2	◦	◦	NOUN
ejpam-3306	308	3	b	b	NOUN
ejpam-3306	308	4	)	)	PUNCT
ejpam-3306	308	5	(	(	PUNCT
ejpam-3306	308	6	by	by	ADP
ejpam-3306	308	7	corollary	corollary	ADJ
ejpam-3306	308	8	3.18	3.18	NUM
ejpam-3306	308	9	)	)	PUNCT
ejpam-3306	308	10	.	.	PUNCT
ejpam-3306	309	1	�	�	PROPN
ejpam-3306	309	2	proposition	proposition	NOUN
ejpam-3306	309	3	3.25	3.25	NUM
ejpam-3306	309	4	.	.	PUNCT
ejpam-3306	310	1	if	if	SCONJ
ejpam-3306	310	2	h	h	NOUN
ejpam-3306	310	3	is	be	AUX
ejpam-3306	310	4	a	a	DET
ejpam-3306	310	5	right	right	ADV
ejpam-3306	310	6	consistent	consistent	ADJ
ejpam-3306	310	7	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	310	8	such	such	ADJ
ejpam-3306	310	9	that	that	SCONJ
ejpam-3306	310	10	x	x	SYM
ejpam-3306	310	11	∈	∈	PROPN
ejpam-3306	310	12	x	x	PUNCT
ejpam-3306	310	13	◦	◦	NOUN
ejpam-3306	310	14	x	x	SYM
ejpam-3306	310	15	for	for	ADP
ejpam-3306	310	16	every	every	DET
ejpam-3306	310	17	x	x	SYM
ejpam-3306	310	18	∈	∈	PROPN
ejpam-3306	310	19	h	h	NOUN
ejpam-3306	310	20	then	then	ADV
ejpam-3306	310	21	,	,	PUNCT
ejpam-3306	310	22	for	for	ADP
ejpam-3306	310	23	every	every	DET
ejpam-3306	310	24	a	a	DET
ejpam-3306	310	25	∈	∈	PROPN
ejpam-3306	310	26	h	h	NOUN
ejpam-3306	310	27	,	,	PUNCT
ejpam-3306	310	28	we	we	PRON
ejpam-3306	310	29	have	have	AUX
ejpam-3306	310	30	r(a	r(a	VERB
ejpam-3306	310	31	)	)	PUNCT
ejpam-3306	311	1	=	=	PUNCT
ejpam-3306	311	2	r(a	r(a	VERB
ejpam-3306	311	3	◦	◦	NOUN
ejpam-3306	311	4	a	a	X
ejpam-3306	311	5	)	)	PUNCT
ejpam-3306	311	6	.	.	PUNCT
ejpam-3306	312	1	proof	proof	NOUN
ejpam-3306	312	2	.	.	PUNCT
ejpam-3306	313	1	let	let	VERB
ejpam-3306	313	2	a	a	DET
ejpam-3306	313	3	∈	∈	PROPN
ejpam-3306	313	4	h.	h.	NOUN
ejpam-3306	313	5	then	then	ADV
ejpam-3306	313	6	,	,	PUNCT
ejpam-3306	313	7	we	we	PRON
ejpam-3306	313	8	have	have	AUX
ejpam-3306	313	9	r(a	r(a	VERB
ejpam-3306	313	10	◦	◦	NOUN
ejpam-3306	313	11	a	a	X
ejpam-3306	313	12	)	)	PUNCT
ejpam-3306	314	1	=	=	SYM
ejpam-3306	314	2	(	(	PUNCT
ejpam-3306	314	3	a	a	DET
ejpam-3306	314	4	◦	◦	NOUN
ejpam-3306	314	5	a	a	X
ejpam-3306	314	6	)	)	PUNCT
ejpam-3306	314	7	∪	∪	NOUN
ejpam-3306	314	8	(	(	PUNCT
ejpam-3306	314	9	(	(	PUNCT
ejpam-3306	314	10	a	a	DET
ejpam-3306	314	11	◦	◦	NOUN
ejpam-3306	314	12	a	a	X
ejpam-3306	314	13	)	)	PUNCT
ejpam-3306	314	14	∗h	∗h	NOUN
ejpam-3306	314	15	)	)	PUNCT
ejpam-3306	314	16	(	(	PUNCT
ejpam-3306	314	17	by	by	ADP
ejpam-3306	314	18	corollary	corollary	ADJ
ejpam-3306	314	19	3.18	3.18	NUM
ejpam-3306	314	20	)	)	PUNCT
ejpam-3306	314	21	=	=	SYM
ejpam-3306	314	22	(	(	PUNCT
ejpam-3306	314	23	{	{	PUNCT
ejpam-3306	314	24	a	a	PRON
ejpam-3306	314	25	}	}	PUNCT
ejpam-3306	314	26	∗	∗	NOUN
ejpam-3306	314	27	{	{	PUNCT
ejpam-3306	314	28	a	a	NOUN
ejpam-3306	314	29	}	}	PUNCT
ejpam-3306	314	30	)	)	PUNCT
ejpam-3306	314	31	∪	∪	NOUN
ejpam-3306	314	32	(	(	PUNCT
ejpam-3306	314	33	{	{	PUNCT
ejpam-3306	314	34	a	a	PRON
ejpam-3306	314	35	}	}	PUNCT
ejpam-3306	314	36	∗	∗	NOUN
ejpam-3306	314	37	(	(	PUNCT
ejpam-3306	314	38	a	a	DET
ejpam-3306	314	39	∗h	∗h	NOUN
ejpam-3306	314	40	)	)	PUNCT
ejpam-3306	314	41	)	)	PUNCT
ejpam-3306	314	42	(	(	PUNCT
ejpam-3306	314	43	since	since	SCONJ
ejpam-3306	314	44	h	h	NOUN
ejpam-3306	314	45	is	be	AUX
ejpam-3306	314	46	right	right	ADV
ejpam-3306	314	47	consistent	consistent	ADJ
ejpam-3306	314	48	)	)	PUNCT
ejpam-3306	314	49	⊆	⊆	NUM
ejpam-3306	314	50	(	(	PUNCT
ejpam-3306	314	51	a	a	DET
ejpam-3306	314	52	∗h	∗h	NOUN
ejpam-3306	314	53	)	)	PUNCT
ejpam-3306	314	54	∪	∪	NOUN
ejpam-3306	314	55	(	(	PUNCT
ejpam-3306	314	56	{	{	PUNCT
ejpam-3306	314	57	a	a	PRON
ejpam-3306	314	58	}	}	PUNCT
ejpam-3306	314	59	∗	∗	NOUN
ejpam-3306	314	60	(	(	PUNCT
ejpam-3306	314	61	h	h	NOUN
ejpam-3306	314	62	∗h	∗h	NOUN
ejpam-3306	314	63	)	)	PUNCT
ejpam-3306	314	64	)	)	PUNCT
ejpam-3306	315	1	n.	n.	NOUN
ejpam-3306	315	2	kehayopulu	kehayopulu	PROPN
ejpam-3306	315	3	/	/	SYM
ejpam-3306	315	4	eur	eur	PROPN
ejpam-3306	315	5	.	.	PUNCT
ejpam-3306	316	1	j.	j.	PROPN
ejpam-3306	316	2	pure	pure	PROPN
ejpam-3306	316	3	appl	appl	PROPN
ejpam-3306	316	4	.	.	PROPN
ejpam-3306	316	5	math	math	PROPN
ejpam-3306	316	6	,	,	PUNCT
ejpam-3306	316	7	11	11	NUM
ejpam-3306	316	8	(	(	PUNCT
ejpam-3306	316	9	3	3	NUM
ejpam-3306	316	10	)	)	PUNCT
ejpam-3306	316	11	(	(	PUNCT
ejpam-3306	316	12	2018	2018	NUM
ejpam-3306	316	13	)	)	PUNCT
ejpam-3306	316	14	,	,	PUNCT
ejpam-3306	316	15	598	598	NUM
ejpam-3306	316	16	-	-	SYM
ejpam-3306	316	17	611	611	NUM
ejpam-3306	316	18	609	609	NUM
ejpam-3306	316	19	⊆	⊆	NUM
ejpam-3306	316	20	(	(	PUNCT
ejpam-3306	316	21	a	a	DET
ejpam-3306	316	22	∗h	∗h	NOUN
ejpam-3306	316	23	)	)	PUNCT
ejpam-3306	316	24	∪	∪	NOUN
ejpam-3306	316	25	(	(	PUNCT
ejpam-3306	316	26	a	a	DET
ejpam-3306	316	27	∗h	∗h	NOUN
ejpam-3306	316	28	)	)	PUNCT
ejpam-3306	316	29	=	=	SYM
ejpam-3306	316	30	(	(	PUNCT
ejpam-3306	316	31	a	a	DET
ejpam-3306	316	32	∗h	∗h	NOUN
ejpam-3306	316	33	)	)	PUNCT
ejpam-3306	316	34	⊆	⊆	NUM
ejpam-3306	316	35	{	{	PUNCT
ejpam-3306	316	36	a	a	NOUN
ejpam-3306	316	37	}	}	PUNCT
ejpam-3306	316	38	∪	∪	NOUN
ejpam-3306	316	39	(	(	PUNCT
ejpam-3306	316	40	a	a	DET
ejpam-3306	316	41	∗h	∗h	NOUN
ejpam-3306	316	42	)	)	PUNCT
ejpam-3306	316	43	=	=	SYM
ejpam-3306	316	44	r(a	r(a	VERB
ejpam-3306	316	45	)	)	PUNCT
ejpam-3306	316	46	and	and	CCONJ
ejpam-3306	316	47	r(a	r(a	NUM
ejpam-3306	316	48	)	)	PUNCT
ejpam-3306	316	49	=	=	PRON
ejpam-3306	317	1	{	{	PUNCT
ejpam-3306	317	2	a	a	DET
ejpam-3306	317	3	}	}	PUNCT
ejpam-3306	317	4	∪	∪	NOUN
ejpam-3306	317	5	(	(	PUNCT
ejpam-3306	317	6	a	a	DET
ejpam-3306	317	7	∗h	∗h	NOUN
ejpam-3306	317	8	)	)	PUNCT
ejpam-3306	317	9	⊆	⊆	NUM
ejpam-3306	317	10	(	(	PUNCT
ejpam-3306	317	11	a	a	DET
ejpam-3306	317	12	◦	◦	NOUN
ejpam-3306	317	13	a	a	X
ejpam-3306	317	14	)	)	PUNCT
ejpam-3306	317	15	∪	∪	NOUN
ejpam-3306	317	16	(	(	PUNCT
ejpam-3306	317	17	(	(	PUNCT
ejpam-3306	317	18	a	a	DET
ejpam-3306	317	19	◦	◦	NOUN
ejpam-3306	317	20	a	a	X
ejpam-3306	317	21	)	)	PUNCT
ejpam-3306	317	22	∗h	∗h	NOUN
ejpam-3306	317	23	)	)	PUNCT
ejpam-3306	317	24	=	=	PUNCT
ejpam-3306	318	1	r(a	r(a	VERB
ejpam-3306	318	2	◦	◦	NOUN
ejpam-3306	318	3	a	a	X
ejpam-3306	318	4	)	)	PUNCT
ejpam-3306	318	5	,	,	PUNCT
ejpam-3306	318	6	so	so	ADV
ejpam-3306	318	7	r(a	r(a	PROPN
ejpam-3306	318	8	)	)	PUNCT
ejpam-3306	319	1	=	=	PUNCT
ejpam-3306	319	2	r(a	r(a	VERB
ejpam-3306	319	3	◦	◦	NOUN
ejpam-3306	319	4	a	a	X
ejpam-3306	319	5	)	)	PUNCT
ejpam-3306	319	6	.	.	PUNCT
ejpam-3306	320	1	�	�	PROPN
ejpam-3306	320	2	in	in	ADP
ejpam-3306	320	3	a	a	DET
ejpam-3306	320	4	similar	similar	ADJ
ejpam-3306	320	5	way	way	NOUN
ejpam-3306	320	6	we	we	PRON
ejpam-3306	320	7	have	have	VERB
ejpam-3306	320	8	the	the	DET
ejpam-3306	320	9	following	follow	VERB
ejpam-3306	320	10	proposition	proposition	NOUN
ejpam-3306	320	11	3.26	3.26	NUM
ejpam-3306	320	12	.	.	PUNCT
ejpam-3306	321	1	if	if	SCONJ
ejpam-3306	321	2	h	h	NOUN
ejpam-3306	321	3	is	be	AUX
ejpam-3306	321	4	a	a	DET
ejpam-3306	321	5	left	left	ADJ
ejpam-3306	321	6	consistent	consistent	ADJ
ejpam-3306	321	7	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	321	8	such	such	ADJ
ejpam-3306	321	9	that	that	SCONJ
ejpam-3306	321	10	x	x	SYM
ejpam-3306	321	11	∈	∈	PROPN
ejpam-3306	321	12	x	x	PUNCT
ejpam-3306	321	13	◦	◦	NOUN
ejpam-3306	321	14	x	x	SYM
ejpam-3306	321	15	for	for	ADP
ejpam-3306	321	16	every	every	DET
ejpam-3306	321	17	x	x	SYM
ejpam-3306	321	18	∈	∈	PROPN
ejpam-3306	321	19	h	h	NOUN
ejpam-3306	321	20	then	then	ADV
ejpam-3306	321	21	,	,	PUNCT
ejpam-3306	321	22	for	for	ADP
ejpam-3306	321	23	every	every	DET
ejpam-3306	321	24	a	a	DET
ejpam-3306	321	25	∈	∈	PROPN
ejpam-3306	321	26	h	h	NOUN
ejpam-3306	321	27	,	,	PUNCT
ejpam-3306	321	28	we	we	PRON
ejpam-3306	321	29	have	have	VERB
ejpam-3306	321	30	l(a	l(a	PROPN
ejpam-3306	321	31	)	)	PUNCT
ejpam-3306	322	1	=	=	PUNCT
ejpam-3306	322	2	l(a	l(a	PROPN
ejpam-3306	322	3	◦	◦	NOUN
ejpam-3306	322	4	a	a	X
ejpam-3306	322	5	)	)	PUNCT
ejpam-3306	322	6	.	.	PUNCT
ejpam-3306	323	1	remark	remark	PROPN
ejpam-3306	323	2	3.27	3.27	NUM
ejpam-3306	323	3	.	.	PUNCT
ejpam-3306	324	1	if	if	SCONJ
ejpam-3306	324	2	h	h	NOUN
ejpam-3306	324	3	is	be	AUX
ejpam-3306	324	4	a	a	DET
ejpam-3306	324	5	commutative	commutative	ADJ
ejpam-3306	324	6	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	324	7	and	and	CCONJ
ejpam-3306	324	8	a	a	DET
ejpam-3306	324	9	,	,	PUNCT
ejpam-3306	324	10	b	b	X
ejpam-3306	324	11	∈	∈	PROPN
ejpam-3306	324	12	h	h	NOUN
ejpam-3306	324	13	,	,	PUNCT
ejpam-3306	324	14	then	then	ADV
ejpam-3306	324	15	we	we	PRON
ejpam-3306	324	16	have	have	AUX
ejpam-3306	324	17	r(a	r(a	VERB
ejpam-3306	324	18	)	)	PUNCT
ejpam-3306	324	19	=	=	SYM
ejpam-3306	324	20	l(a	l(a	PROPN
ejpam-3306	324	21	)	)	PUNCT
ejpam-3306	324	22	and	and	CCONJ
ejpam-3306	324	23	r(a	r(a	X
ejpam-3306	324	24	◦	◦	NOUN
ejpam-3306	324	25	b	b	X
ejpam-3306	324	26	)	)	PUNCT
ejpam-3306	324	27	=	=	SYM
ejpam-3306	324	28	(	(	PUNCT
ejpam-3306	324	29	a	a	DET
ejpam-3306	324	30	◦	◦	NOUN
ejpam-3306	324	31	b	b	NOUN
ejpam-3306	324	32	)	)	PUNCT
ejpam-3306	324	33	∪	∪	NOUN
ejpam-3306	324	34	(	(	PUNCT
ejpam-3306	324	35	a	a	DET
ejpam-3306	324	36	◦	◦	NOUN
ejpam-3306	324	37	b	b	NOUN
ejpam-3306	324	38	)	)	PUNCT
ejpam-3306	324	39	∗h	∗h	NOUN
ejpam-3306	324	40	=	=	SYM
ejpam-3306	324	41	(	(	PUNCT
ejpam-3306	324	42	b	b	X
ejpam-3306	324	43	◦	◦	NOUN
ejpam-3306	324	44	a	a	X
ejpam-3306	324	45	)	)	PUNCT
ejpam-3306	324	46	∪	∪	NOUN
ejpam-3306	324	47	(	(	PUNCT
ejpam-3306	324	48	b	b	X
ejpam-3306	324	49	◦	◦	NOUN
ejpam-3306	324	50	a	a	X
ejpam-3306	324	51	)	)	PUNCT
ejpam-3306	324	52	∗h	∗h	NOUN
ejpam-3306	324	53	=	=	PUNCT
ejpam-3306	324	54	r(b	r(b	NOUN
ejpam-3306	324	55	◦	◦	NOUN
ejpam-3306	324	56	a	a	PRON
ejpam-3306	324	57	)	)	PUNCT
ejpam-3306	324	58	.	.	PUNCT
ejpam-3306	325	1	the	the	DET
ejpam-3306	325	2	concepts	concept	NOUN
ejpam-3306	325	3	of	of	ADP
ejpam-3306	325	4	right	right	NOUN
ejpam-3306	325	5	(	(	PUNCT
ejpam-3306	325	6	left	left	ADJ
ejpam-3306	325	7	)	)	PUNCT
ejpam-3306	325	8	congruences	congruence	NOUN
ejpam-3306	325	9	and	and	CCONJ
ejpam-3306	325	10	semilattice	semilattice	NOUN
ejpam-3306	325	11	congruences	congruence	NOUN
ejpam-3306	325	12	on	on	ADP
ejpam-3306	325	13	groupoids	groupoid	NOUN
ejpam-3306	325	14	can	can	AUX
ejpam-3306	325	15	be	be	AUX
ejpam-3306	325	16	naturally	naturally	ADV
ejpam-3306	325	17	transferred	transfer	VERB
ejpam-3306	325	18	to	to	ADP
ejpam-3306	325	19	hypergroupoids	hypergroupoid	NOUN
ejpam-3306	325	20	as	as	SCONJ
ejpam-3306	325	21	follows	follow	VERB
ejpam-3306	325	22	:	:	PUNCT
ejpam-3306	325	23	an	an	DET
ejpam-3306	325	24	equivalence	equivalence	NOUN
ejpam-3306	325	25	relation	relation	NOUN
ejpam-3306	325	26	σ	σ	NOUN
ejpam-3306	325	27	on	on	ADP
ejpam-3306	325	28	an	an	DET
ejpam-3306	325	29	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	325	30	h	h	NOUN
ejpam-3306	325	31	is	be	AUX
ejpam-3306	325	32	called	call	VERB
ejpam-3306	325	33	right	right	ADJ
ejpam-3306	325	34	(	(	PUNCT
ejpam-3306	325	35	resp	resp	NOUN
ejpam-3306	325	36	.	.	PUNCT
ejpam-3306	326	1	left	leave	VERB
ejpam-3306	326	2	)	)	PUNCT
ejpam-3306	326	3	congruence	congruence	NOUN
ejpam-3306	327	1	if	if	SCONJ
ejpam-3306	327	2	(	(	PUNCT
ejpam-3306	327	3	a	a	DET
ejpam-3306	327	4	,	,	PUNCT
ejpam-3306	327	5	b	b	NOUN
ejpam-3306	327	6	)	)	PUNCT
ejpam-3306	327	7	∈	∈	PROPN
ejpam-3306	327	8	σ	σ	NOUN
ejpam-3306	327	9	implies	imply	VERB
ejpam-3306	327	10	(	(	PUNCT
ejpam-3306	327	11	a	a	DET
ejpam-3306	327	12	◦	◦	NOUN
ejpam-3306	327	13	c	c	NOUN
ejpam-3306	327	14	,	,	PUNCT
ejpam-3306	327	15	b	b	X
ejpam-3306	327	16	◦	◦	NOUN
ejpam-3306	327	17	c	c	NOUN
ejpam-3306	327	18	)	)	PUNCT
ejpam-3306	327	19	∈	∈	PROPN
ejpam-3306	327	20	σ	σ	PROPN
ejpam-3306	327	21	(	(	PUNCT
ejpam-3306	327	22	resp	resp	NOUN
ejpam-3306	327	23	.	.	PUNCT
ejpam-3306	328	1	(	(	PUNCT
ejpam-3306	328	2	c	c	AUX
ejpam-3306	328	3	◦	◦	NOUN
ejpam-3306	328	4	a	a	PRON
ejpam-3306	328	5	,	,	PUNCT
ejpam-3306	328	6	c	c	PROPN
ejpam-3306	328	7	◦	◦	NOUN
ejpam-3306	328	8	b	b	X
ejpam-3306	328	9	)	)	PUNCT
ejpam-3306	328	10	∈	∈	PROPN
ejpam-3306	328	11	σ	σ	PROPN
ejpam-3306	328	12	)	)	PUNCT
ejpam-3306	328	13	for	for	ADP
ejpam-3306	328	14	every	every	DET
ejpam-3306	328	15	c	c	PROPN
ejpam-3306	328	16	∈	∈	PROPN
ejpam-3306	328	17	h	h	NOUN
ejpam-3306	328	18	;	;	PUNCT
ejpam-3306	328	19	it	it	PRON
ejpam-3306	328	20	is	be	AUX
ejpam-3306	328	21	called	call	VERB
ejpam-3306	328	22	a	a	DET
ejpam-3306	328	23	congruence	congruence	NOUN
ejpam-3306	328	24	on	on	ADP
ejpam-3306	328	25	h	h	NOUN
ejpam-3306	328	26	if	if	SCONJ
ejpam-3306	328	27	it	it	PRON
ejpam-3306	328	28	is	be	AUX
ejpam-3306	328	29	both	both	CCONJ
ejpam-3306	328	30	a	a	DET
ejpam-3306	328	31	right	right	ADJ
ejpam-3306	328	32	congruence	congruence	NOUN
ejpam-3306	328	33	and	and	CCONJ
ejpam-3306	328	34	a	a	DET
ejpam-3306	328	35	left	left	ADJ
ejpam-3306	328	36	congruence	congruence	NOUN
ejpam-3306	328	37	on	on	ADP
ejpam-3306	328	38	h.	h.	PROPN
ejpam-3306	328	39	a	a	DET
ejpam-3306	328	40	congruence	congruence	PROPN
ejpam-3306	328	41	σ	σ	PROPN
ejpam-3306	328	42	on	on	ADP
ejpam-3306	328	43	h	h	NOUN
ejpam-3306	328	44	is	be	AUX
ejpam-3306	328	45	called	call	VERB
ejpam-3306	328	46	semilattice	semilattice	NOUN
ejpam-3306	328	47	congruence	congruence	NOUN
ejpam-3306	328	48	if	if	SCONJ
ejpam-3306	328	49	,	,	PUNCT
ejpam-3306	328	50	for	for	ADP
ejpam-3306	328	51	any	any	DET
ejpam-3306	328	52	a	a	NOUN
ejpam-3306	328	53	,	,	PUNCT
ejpam-3306	328	54	b	b	X
ejpam-3306	328	55	∈	∈	PROPN
ejpam-3306	328	56	h	h	NOUN
ejpam-3306	328	57	,	,	PUNCT
ejpam-3306	328	58	we	we	PRON
ejpam-3306	328	59	have	have	VERB
ejpam-3306	328	60	(	(	PUNCT
ejpam-3306	328	61	a	a	PRON
ejpam-3306	328	62	,	,	PUNCT
ejpam-3306	328	63	a	a	DET
ejpam-3306	328	64	◦	◦	NOUN
ejpam-3306	328	65	a	a	X
ejpam-3306	328	66	)	)	PUNCT
ejpam-3306	328	67	∈	∈	PROPN
ejpam-3306	328	68	σ	σ	NOUN
ejpam-3306	328	69	and	and	CCONJ
ejpam-3306	328	70	(	(	PUNCT
ejpam-3306	328	71	a	a	DET
ejpam-3306	328	72	◦	◦	NOUN
ejpam-3306	328	73	b	b	NUM
ejpam-3306	328	74	,	,	PUNCT
ejpam-3306	328	75	b	b	X
ejpam-3306	328	76	◦	◦	NOUN
ejpam-3306	328	77	a	a	X
ejpam-3306	328	78	)	)	PUNCT
ejpam-3306	328	79	∈	∈	PROPN
ejpam-3306	328	80	σ	σ	PROPN
ejpam-3306	328	81	.	.	PUNCT
ejpam-3306	328	82	by	by	ADP
ejpam-3306	328	83	propositions	proposition	NOUN
ejpam-3306	328	84	3.25	3.25	NUM
ejpam-3306	328	85	,	,	PUNCT
ejpam-3306	328	86	3.26	3.26	NUM
ejpam-3306	328	87	and	and	CCONJ
ejpam-3306	328	88	remark	remark	VERB
ejpam-3306	328	89	3.27	3.27	NUM
ejpam-3306	328	90	we	we	PRON
ejpam-3306	328	91	have	have	VERB
ejpam-3306	328	92	the	the	DET
ejpam-3306	328	93	following	follow	VERB
ejpam-3306	328	94	proposition	proposition	NOUN
ejpam-3306	328	95	3.28	3.28	NUM
ejpam-3306	328	96	.	.	PUNCT
ejpam-3306	329	1	let	let	VERB
ejpam-3306	329	2	h	h	PRON
ejpam-3306	329	3	be	be	AUX
ejpam-3306	329	4	a	a	DET
ejpam-3306	329	5	consistent	consistent	ADJ
ejpam-3306	329	6	commutative	commutative	ADJ
ejpam-3306	329	7	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	329	8	such	such	ADJ
ejpam-3306	329	9	that	that	SCONJ
ejpam-3306	329	10	(	(	PUNCT
ejpam-3306	329	11	1	1	X
ejpam-3306	329	12	)	)	PUNCT
ejpam-3306	329	13	for	for	ADP
ejpam-3306	329	14	every	every	DET
ejpam-3306	329	15	a	a	DET
ejpam-3306	329	16	∈	∈	PROPN
ejpam-3306	329	17	h	h	NOUN
ejpam-3306	329	18	,	,	PUNCT
ejpam-3306	329	19	we	we	PRON
ejpam-3306	329	20	have	have	VERB
ejpam-3306	329	21	a	a	DET
ejpam-3306	329	22	∈	∈	PROPN
ejpam-3306	329	23	a	a	DET
ejpam-3306	329	24	◦	◦	NOUN
ejpam-3306	330	1	a	a	DET
ejpam-3306	330	2	and	and	CCONJ
ejpam-3306	330	3	(	(	PUNCT
ejpam-3306	330	4	2	2	NUM
ejpam-3306	330	5	)	)	PUNCT
ejpam-3306	330	6	for	for	ADP
ejpam-3306	330	7	any	any	DET
ejpam-3306	330	8	nonempty	nonempty	ADJ
ejpam-3306	330	9	subsets	subset	NOUN
ejpam-3306	330	10	a	a	DET
ejpam-3306	330	11	,	,	PUNCT
ejpam-3306	330	12	b	b	PROPN
ejpam-3306	330	13	of	of	ADP
ejpam-3306	330	14	h	h	NOUN
ejpam-3306	330	15	,	,	PUNCT
ejpam-3306	330	16	r(a	r(a	PROPN
ejpam-3306	330	17	)	)	PUNCT
ejpam-3306	330	18	=	=	SYM
ejpam-3306	330	19	r(b	r(b	PROPN
ejpam-3306	330	20	)	)	PUNCT
ejpam-3306	330	21	implies	imply	VERB
ejpam-3306	330	22	(	(	PUNCT
ejpam-3306	330	23	a	a	DET
ejpam-3306	330	24	,	,	PUNCT
ejpam-3306	330	25	b	b	NOUN
ejpam-3306	330	26	)	)	PUNCT
ejpam-3306	330	27	∈	∈	PROPN
ejpam-3306	330	28	r.	r.	NOUN
ejpam-3306	330	29	then	then	ADV
ejpam-3306	330	30	the	the	DET
ejpam-3306	330	31	relation	relation	NOUN
ejpam-3306	330	32	r	r	NOUN
ejpam-3306	330	33	(=	(=	X
ejpam-3306	330	34	l	l	NOUN
ejpam-3306	330	35	)	)	PUNCT
ejpam-3306	330	36	is	be	AUX
ejpam-3306	330	37	a	a	DET
ejpam-3306	330	38	semilattice	semilattice	NOUN
ejpam-3306	330	39	congruence	congruence	NOUN
ejpam-3306	330	40	on	on	ADP
ejpam-3306	330	41	h.	h.	PROPN
ejpam-3306	330	42	for	for	ADP
ejpam-3306	330	43	an	an	DET
ejpam-3306	330	44	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	330	45	h	h	NOUN
ejpam-3306	330	46	and	and	CCONJ
ejpam-3306	330	47	a	a	DET
ejpam-3306	330	48	subset	subset	NOUN
ejpam-3306	330	49	a	a	PRON
ejpam-3306	330	50	of	of	ADP
ejpam-3306	330	51	h	h	NOUN
ejpam-3306	330	52	,	,	PUNCT
ejpam-3306	330	53	we	we	PRON
ejpam-3306	330	54	denote	denote	VERB
ejpam-3306	330	55	by	by	ADP
ejpam-3306	330	56	σa	σa	PROPN
ejpam-3306	330	57	the	the	DET
ejpam-3306	330	58	equivalence	equivalence	NOUN
ejpam-3306	330	59	relation	relation	NOUN
ejpam-3306	330	60	on	on	ADP
ejpam-3306	330	61	h	h	NOUN
ejpam-3306	330	62	defined	define	VERB
ejpam-3306	330	63	by	by	ADP
ejpam-3306	330	64	σa	σa	PROPN
ejpam-3306	330	65	:	:	PUNCT
ejpam-3306	330	66	=	=	SYM
ejpam-3306	330	67	{	{	PUNCT
ejpam-3306	330	68	(	(	PUNCT
ejpam-3306	330	69	x	x	NOUN
ejpam-3306	330	70	,	,	PUNCT
ejpam-3306	330	71	y	y	NOUN
ejpam-3306	330	72	)	)	PUNCT
ejpam-3306	330	73	|	|	ADV
ejpam-3306	330	74	x	x	X
ejpam-3306	330	75	,	,	PUNCT
ejpam-3306	330	76	y	y	PROPN
ejpam-3306	330	77	∈	∈	PROPN
ejpam-3306	330	78	a	a	PRON
ejpam-3306	330	79	or	or	CCONJ
ejpam-3306	330	80	x	x	NOUN
ejpam-3306	330	81	,	,	PUNCT
ejpam-3306	330	82	y	y	PROPN
ejpam-3306	330	83	/∈	/∈	PUNCT
ejpam-3306	331	1	a	a	PRON
ejpam-3306	331	2	}	}	PUNCT
ejpam-3306	331	3	.	.	PUNCT
ejpam-3306	332	1	proposition	proposition	NOUN
ejpam-3306	332	2	3.29	3.29	NUM
ejpam-3306	332	3	.	.	PUNCT
ejpam-3306	333	1	if	if	SCONJ
ejpam-3306	333	2	an	an	DET
ejpam-3306	333	3	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	333	4	h	h	NOUN
ejpam-3306	333	5	is	be	AUX
ejpam-3306	333	6	right	right	ADV
ejpam-3306	333	7	consistent	consistent	ADJ
ejpam-3306	333	8	(	(	PUNCT
ejpam-3306	333	9	resp	resp	NOUN
ejpam-3306	333	10	.	.	PUNCT
ejpam-3306	334	1	left	leave	VERB
ejpam-3306	334	2	consistent	consistent	ADJ
ejpam-3306	334	3	)	)	PUNCT
ejpam-3306	334	4	,	,	PUNCT
ejpam-3306	334	5	a	a	PRON
ejpam-3306	334	6	is	be	AUX
ejpam-3306	334	7	the	the	DET
ejpam-3306	334	8	set	set	NOUN
ejpam-3306	334	9	of	of	ADP
ejpam-3306	334	10	right	right	ADJ
ejpam-3306	334	11	ideals	ideal	NOUN
ejpam-3306	334	12	and	and	CCONJ
ejpam-3306	334	13	b	b	NOUN
ejpam-3306	334	14	is	be	AUX
ejpam-3306	334	15	the	the	DET
ejpam-3306	334	16	set	set	NOUN
ejpam-3306	334	17	of	of	ADP
ejpam-3306	334	18	left	left	ADJ
ejpam-3306	334	19	ideals	ideal	NOUN
ejpam-3306	334	20	of	of	ADP
ejpam-3306	334	21	h	h	NOUN
ejpam-3306	334	22	,	,	PUNCT
ejpam-3306	334	23	then	then	ADV
ejpam-3306	334	24	we	we	PRON
ejpam-3306	334	25	have	have	VERB
ejpam-3306	334	26	r	r	NOUN
ejpam-3306	334	27	=	=	SYM
ejpam-3306	334	28	⋂	⋂	PROPN
ejpam-3306	334	29	{	{	PUNCT
ejpam-3306	334	30	σi	σi	INTJ
ejpam-3306	335	1	|	|	ADV
ejpam-3306	335	2	i	i	PRON
ejpam-3306	335	3	∈	∈	VERB
ejpam-3306	335	4	a	a	PRON
ejpam-3306	335	5	}	}	PUNCT
ejpam-3306	335	6	and	and	CCONJ
ejpam-3306	335	7	l	l	NOUN
ejpam-3306	335	8	=	=	SYM
ejpam-3306	335	9	⋂	⋂	PROPN
ejpam-3306	335	10	{	{	PUNCT
ejpam-3306	335	11	σi	σi	INTJ
ejpam-3306	336	1	|	|	ADV
ejpam-3306	337	1	i	i	PRON
ejpam-3306	337	2	∈	∈	PROPN
ejpam-3306	337	3	b	b	X
ejpam-3306	337	4	}	}	PUNCT
ejpam-3306	337	5	,	,	PUNCT
ejpam-3306	337	6	respectively	respectively	ADV
ejpam-3306	337	7	.	.	PUNCT
ejpam-3306	338	1	proof	proof	NOUN
ejpam-3306	338	2	.	.	PUNCT
ejpam-3306	339	1	let	let	VERB
ejpam-3306	339	2	h	h	PRON
ejpam-3306	339	3	be	be	AUX
ejpam-3306	339	4	right	right	ADV
ejpam-3306	339	5	consistent	consistent	ADJ
ejpam-3306	339	6	,	,	PUNCT
ejpam-3306	339	7	(	(	PUNCT
ejpam-3306	339	8	x	x	NOUN
ejpam-3306	339	9	,	,	PUNCT
ejpam-3306	339	10	y	y	NOUN
ejpam-3306	339	11	)	)	PUNCT
ejpam-3306	339	12	∈	∈	PROPN
ejpam-3306	339	13	r	r	NOUN
ejpam-3306	339	14	and	and	CCONJ
ejpam-3306	339	15	i	i	NOUN
ejpam-3306	339	16	∈	∈	PROPN
ejpam-3306	339	17	a.	a.	NOUN
ejpam-3306	339	18	if	if	SCONJ
ejpam-3306	339	19	x	x	SYM
ejpam-3306	339	20	∈	∈	PROPN
ejpam-3306	339	21	i	i	PRON
ejpam-3306	339	22	,	,	PUNCT
ejpam-3306	339	23	then	then	ADV
ejpam-3306	339	24	we	we	PRON
ejpam-3306	339	25	have	have	VERB
ejpam-3306	339	26	y	y	PROPN
ejpam-3306	339	27	∈	∈	PROPN
ejpam-3306	339	28	r(y	r(y	VERB
ejpam-3306	339	29	)	)	PUNCT
ejpam-3306	339	30	=	=	SYM
ejpam-3306	339	31	r(x	r(x	PROPN
ejpam-3306	339	32	)	)	PUNCT
ejpam-3306	340	1	=	=	PRON
ejpam-3306	340	2	{	{	PUNCT
ejpam-3306	340	3	x	x	NOUN
ejpam-3306	340	4	}	}	PUNCT
ejpam-3306	340	5	∪	∪	ADJ
ejpam-3306	340	6	(	(	PUNCT
ejpam-3306	340	7	x	x	NOUN
ejpam-3306	340	8	∗h	∗h	NOUN
ejpam-3306	340	9	)	)	PUNCT
ejpam-3306	340	10	(	(	PUNCT
ejpam-3306	340	11	by	by	ADP
ejpam-3306	340	12	corollary	corollary	ADJ
ejpam-3306	340	13	3.16	3.16	NUM
ejpam-3306	340	14	)	)	PUNCT
ejpam-3306	340	15	⊆	⊆	NUM
ejpam-3306	340	16	i	i	PRON
ejpam-3306	340	17	∪	∪	VERB
ejpam-3306	340	18	(	(	PUNCT
ejpam-3306	340	19	i	i	PRON
ejpam-3306	340	20	∗h	∗h	VERB
ejpam-3306	340	21	)	)	PUNCT
ejpam-3306	341	1	=	=	SYM
ejpam-3306	341	2	i	i	PROPN
ejpam-3306	341	3	,	,	PUNCT
ejpam-3306	341	4	so	so	ADV
ejpam-3306	341	5	y	y	PROPN
ejpam-3306	341	6	∈	∈	PROPN
ejpam-3306	341	7	i.	i.	NOUN
ejpam-3306	341	8	then	then	ADV
ejpam-3306	341	9	x	x	PRON
ejpam-3306	341	10	,	,	PUNCT
ejpam-3306	341	11	y	y	PROPN
ejpam-3306	341	12	∈	∈	PROPN
ejpam-3306	342	1	i	i	PRON
ejpam-3306	342	2	and	and	CCONJ
ejpam-3306	342	3	so	so	ADV
ejpam-3306	342	4	(	(	PUNCT
ejpam-3306	342	5	x	x	NOUN
ejpam-3306	342	6	,	,	PUNCT
ejpam-3306	342	7	y	y	NOUN
ejpam-3306	342	8	)	)	PUNCT
ejpam-3306	342	9	∈	∈	PROPN
ejpam-3306	342	10	σi	σi	INTJ
ejpam-3306	342	11	.	.	PUNCT
ejpam-3306	343	1	if	if	SCONJ
ejpam-3306	343	2	x	x	X
ejpam-3306	343	3	/∈	/∈	PUNCT
ejpam-3306	344	1	i	i	PRON
ejpam-3306	344	2	,	,	PUNCT
ejpam-3306	344	3	then	then	ADV
ejpam-3306	344	4	y	y	PROPN
ejpam-3306	344	5	/∈	/∈	PUNCT
ejpam-3306	345	1	i	i	PRON
ejpam-3306	345	2	as	as	ADV
ejpam-3306	345	3	well	well	ADV
ejpam-3306	345	4	.	.	PUNCT
ejpam-3306	346	1	this	this	PRON
ejpam-3306	346	2	is	be	AUX
ejpam-3306	346	3	because	because	SCONJ
ejpam-3306	346	4	if	if	SCONJ
ejpam-3306	346	5	y	y	PROPN
ejpam-3306	346	6	∈	∈	PROPN
ejpam-3306	346	7	i	i	PRON
ejpam-3306	346	8	then	then	ADV
ejpam-3306	346	9	,	,	PUNCT
ejpam-3306	346	10	by	by	ADP
ejpam-3306	346	11	symmetry	symmetry	NOUN
ejpam-3306	346	12	to	to	ADP
ejpam-3306	346	13	the	the	DET
ejpam-3306	346	14	previous	previous	ADJ
ejpam-3306	346	15	case	case	NOUN
ejpam-3306	346	16	,	,	PUNCT
ejpam-3306	346	17	we	we	PRON
ejpam-3306	346	18	get	get	VERB
ejpam-3306	346	19	x	x	PUNCT
ejpam-3306	346	20	∈	∈	PROPN
ejpam-3306	346	21	i	i	PRON
ejpam-3306	346	22	which	which	PRON
ejpam-3306	346	23	is	be	AUX
ejpam-3306	346	24	impossible	impossible	ADJ
ejpam-3306	346	25	.	.	PUNCT
ejpam-3306	347	1	thus	thus	ADV
ejpam-3306	347	2	we	we	PRON
ejpam-3306	347	3	have	have	VERB
ejpam-3306	347	4	x	x	X
ejpam-3306	347	5	,	,	PUNCT
ejpam-3306	347	6	y	y	PROPN
ejpam-3306	347	7	/∈	/∈	PUNCT
ejpam-3306	348	1	i	i	PRON
ejpam-3306	348	2	and	and	CCONJ
ejpam-3306	348	3	so	so	ADV
ejpam-3306	348	4	(	(	PUNCT
ejpam-3306	348	5	x	x	NOUN
ejpam-3306	348	6	,	,	PUNCT
ejpam-3306	348	7	y	y	NOUN
ejpam-3306	348	8	)	)	PUNCT
ejpam-3306	348	9	∈	∈	PROPN
ejpam-3306	349	1	σi	σi	INTJ
ejpam-3306	349	2	.	.	PUNCT
ejpam-3306	350	1	let	let	VERB
ejpam-3306	350	2	now	now	ADV
ejpam-3306	350	3	(	(	PUNCT
ejpam-3306	350	4	x	x	NOUN
ejpam-3306	350	5	,	,	PUNCT
ejpam-3306	350	6	y	y	NOUN
ejpam-3306	350	7	)	)	PUNCT
ejpam-3306	350	8	∈	∈	PROPN
ejpam-3306	350	9	σi	σi	NOUN
ejpam-3306	350	10	for	for	ADP
ejpam-3306	350	11	every	every	DET
ejpam-3306	350	12	i	i	PROPN
ejpam-3306	350	13	∈	∈	PROPN
ejpam-3306	350	14	a.	a.	NOUN
ejpam-3306	350	15	since	since	SCONJ
ejpam-3306	350	16	r(x	r(x	PROPN
ejpam-3306	350	17	)	)	PUNCT
ejpam-3306	350	18	is	be	AUX
ejpam-3306	350	19	a	a	DET
ejpam-3306	350	20	right	right	ADJ
ejpam-3306	350	21	ideal	ideal	NOUN
ejpam-3306	350	22	of	of	ADP
ejpam-3306	350	23	h	h	NOUN
ejpam-3306	350	24	,	,	PUNCT
ejpam-3306	350	25	we	we	PRON
ejpam-3306	350	26	have	have	VERB
ejpam-3306	350	27	(	(	PUNCT
ejpam-3306	350	28	x	x	NOUN
ejpam-3306	350	29	,	,	PUNCT
ejpam-3306	350	30	y	y	PROPN
ejpam-3306	350	31	)	)	PUNCT
ejpam-3306	350	32	∈	∈	PROPN
ejpam-3306	350	33	σr(x	σr(x	NOUN
ejpam-3306	350	34	)	)	PUNCT
ejpam-3306	350	35	.	.	PUNCT
ejpam-3306	351	1	since	since	SCONJ
ejpam-3306	351	2	x	x	PROPN
ejpam-3306	351	3	∈	∈	PROPN
ejpam-3306	351	4	r(x	r(x	PROPN
ejpam-3306	351	5	)	)	PUNCT
ejpam-3306	351	6	,	,	PUNCT
ejpam-3306	351	7	we	we	PRON
ejpam-3306	351	8	have	have	VERB
ejpam-3306	351	9	y	y	PROPN
ejpam-3306	351	10	∈	∈	PROPN
ejpam-3306	351	11	r(x	r(x	PROPN
ejpam-3306	351	12	)	)	PUNCT
ejpam-3306	351	13	,	,	PUNCT
ejpam-3306	351	14	then	then	ADV
ejpam-3306	351	15	r(y	r(y	ADJ
ejpam-3306	351	16	)	)	PUNCT
ejpam-3306	351	17	⊆	⊆	NUM
ejpam-3306	351	18	r(x	r(x	PROPN
ejpam-3306	351	19	)	)	PUNCT
ejpam-3306	351	20	.	.	PUNCT
ejpam-3306	352	1	n.	n.	PROPN
ejpam-3306	352	2	kehayopulu	kehayopulu	PROPN
ejpam-3306	352	3	/	/	SYM
ejpam-3306	352	4	eur	eur	PROPN
ejpam-3306	352	5	.	.	PUNCT
ejpam-3306	353	1	j.	j.	PROPN
ejpam-3306	353	2	pure	pure	PROPN
ejpam-3306	353	3	appl	appl	PROPN
ejpam-3306	353	4	.	.	PROPN
ejpam-3306	353	5	math	math	PROPN
ejpam-3306	353	6	,	,	PUNCT
ejpam-3306	353	7	11	11	NUM
ejpam-3306	353	8	(	(	PUNCT
ejpam-3306	353	9	3	3	NUM
ejpam-3306	353	10	)	)	PUNCT
ejpam-3306	353	11	(	(	PUNCT
ejpam-3306	353	12	2018	2018	NUM
ejpam-3306	353	13	)	)	PUNCT
ejpam-3306	353	14	,	,	PUNCT
ejpam-3306	353	15	598	598	NUM
ejpam-3306	353	16	-	-	SYM
ejpam-3306	353	17	611	611	NUM
ejpam-3306	353	18	610	610	NUM
ejpam-3306	353	19	since	since	SCONJ
ejpam-3306	353	20	y	y	PROPN
ejpam-3306	353	21	∈	∈	PROPN
ejpam-3306	353	22	r(y	r(y	VERB
ejpam-3306	353	23	)	)	PUNCT
ejpam-3306	353	24	and	and	CCONJ
ejpam-3306	353	25	(	(	PUNCT
ejpam-3306	353	26	x	x	NOUN
ejpam-3306	353	27	,	,	PUNCT
ejpam-3306	353	28	y	y	NOUN
ejpam-3306	353	29	)	)	PUNCT
ejpam-3306	353	30	∈	∈	PROPN
ejpam-3306	353	31	σr(y	σr(y	NUM
ejpam-3306	353	32	)	)	PUNCT
ejpam-3306	353	33	,	,	PUNCT
ejpam-3306	353	34	we	we	PRON
ejpam-3306	353	35	have	have	VERB
ejpam-3306	353	36	x	x	X
ejpam-3306	353	37	∈	∈	PROPN
ejpam-3306	353	38	r(y	r(y	VERB
ejpam-3306	353	39	)	)	PUNCT
ejpam-3306	353	40	,	,	PUNCT
ejpam-3306	353	41	then	then	ADV
ejpam-3306	353	42	r(x	r(x	PROPN
ejpam-3306	353	43	)	)	PUNCT
ejpam-3306	353	44	⊆	⊆	NUM
ejpam-3306	353	45	r(y	r(y	ADJ
ejpam-3306	353	46	)	)	PUNCT
ejpam-3306	353	47	.	.	PUNCT
ejpam-3306	354	1	thus	thus	ADV
ejpam-3306	354	2	we	we	PRON
ejpam-3306	354	3	get	get	VERB
ejpam-3306	354	4	r(x	r(x	PROPN
ejpam-3306	354	5	)	)	PUNCT
ejpam-3306	354	6	=	=	PUNCT
ejpam-3306	354	7	r(y	r(y	VERB
ejpam-3306	354	8	)	)	PUNCT
ejpam-3306	354	9	and	and	CCONJ
ejpam-3306	354	10	so	so	ADV
ejpam-3306	354	11	(	(	PUNCT
ejpam-3306	354	12	x	x	NOUN
ejpam-3306	354	13	,	,	PUNCT
ejpam-3306	354	14	y	y	NOUN
ejpam-3306	354	15	)	)	PUNCT
ejpam-3306	354	16	∈	∈	PROPN
ejpam-3306	354	17	r.	r.	PROPN
ejpam-3306	354	18	if	if	SCONJ
ejpam-3306	354	19	h	h	NOUN
ejpam-3306	354	20	is	be	AUX
ejpam-3306	354	21	left	leave	VERB
ejpam-3306	354	22	consistent	consistent	ADJ
ejpam-3306	354	23	,	,	PUNCT
ejpam-3306	354	24	the	the	DET
ejpam-3306	354	25	proof	proof	NOUN
ejpam-3306	354	26	is	be	AUX
ejpam-3306	354	27	analogous	analogous	ADJ
ejpam-3306	354	28	.	.	PUNCT
ejpam-3306	355	1	�	�	PROPN
ejpam-3306	355	2	corollary	corollary	ADJ
ejpam-3306	355	3	3.30	3.30	NUM
ejpam-3306	355	4	.	.	PUNCT
ejpam-3306	356	1	if	if	SCONJ
ejpam-3306	356	2	an	an	DET
ejpam-3306	356	3	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	356	4	h	h	NOUN
ejpam-3306	356	5	is	be	AUX
ejpam-3306	356	6	right	right	ADV
ejpam-3306	356	7	consistent	consistent	ADJ
ejpam-3306	356	8	(	(	PUNCT
ejpam-3306	356	9	resp	resp	NOUN
ejpam-3306	356	10	.	.	PUNCT
ejpam-3306	357	1	left	leave	VERB
ejpam-3306	357	2	consistent	consistent	ADJ
ejpam-3306	357	3	)	)	PUNCT
ejpam-3306	357	4	,	,	PUNCT
ejpam-3306	357	5	a	a	PRON
ejpam-3306	357	6	is	be	AUX
ejpam-3306	357	7	a	a	DET
ejpam-3306	357	8	right	right	ADJ
ejpam-3306	357	9	ideal	ideal	NOUN
ejpam-3306	357	10	and	and	CCONJ
ejpam-3306	357	11	b	b	NOUN
ejpam-3306	357	12	is	be	AUX
ejpam-3306	357	13	a	a	DET
ejpam-3306	357	14	left	left	ADJ
ejpam-3306	357	15	ideal	ideal	NOUN
ejpam-3306	357	16	of	of	ADP
ejpam-3306	357	17	h	h	NOUN
ejpam-3306	357	18	,	,	PUNCT
ejpam-3306	357	19	then	then	ADV
ejpam-3306	357	20	we	we	PRON
ejpam-3306	357	21	have	have	VERB
ejpam-3306	357	22	(	(	PUNCT
ejpam-3306	357	23	1	1	X
ejpam-3306	357	24	)	)	PUNCT
ejpam-3306	357	25	a	a	DET
ejpam-3306	357	26	=	=	SYM
ejpam-3306	357	27	⋂	⋂	PROPN
ejpam-3306	357	28	{	{	PUNCT
ejpam-3306	357	29	(	(	PUNCT
ejpam-3306	357	30	x)r	x)r	PUNCT
ejpam-3306	357	31	|	|	ADV
ejpam-3306	357	32	x	x	SYM
ejpam-3306	357	33	∈	∈	PROPN
ejpam-3306	357	34	a	a	X
ejpam-3306	357	35	}	}	PUNCT
ejpam-3306	357	36	and	and	CCONJ
ejpam-3306	357	37	(	(	PUNCT
ejpam-3306	357	38	2	2	X
ejpam-3306	357	39	)	)	PUNCT
ejpam-3306	357	40	b	b	NOUN
ejpam-3306	357	41	=	=	SYM
ejpam-3306	357	42	⋂	⋂	PROPN
ejpam-3306	357	43	{	{	PUNCT
ejpam-3306	357	44	(	(	PUNCT
ejpam-3306	357	45	x)l	x)l	NOUN
ejpam-3306	358	1	|	|	ADV
ejpam-3306	358	2	x	x	SYM
ejpam-3306	358	3	∈	∈	PROPN
ejpam-3306	358	4	b	b	NOUN
ejpam-3306	358	5	}	}	PUNCT
ejpam-3306	358	6	,	,	PUNCT
ejpam-3306	358	7	respectively	respectively	ADV
ejpam-3306	358	8	.	.	PUNCT
ejpam-3306	359	1	proof	proof	NOUN
ejpam-3306	359	2	.	.	PUNCT
ejpam-3306	360	1	(	(	PUNCT
ejpam-3306	360	2	1	1	X
ejpam-3306	360	3	)	)	PUNCT
ejpam-3306	360	4	let	let	VERB
ejpam-3306	360	5	h	h	NOUN
ejpam-3306	360	6	be	be	AUX
ejpam-3306	360	7	right	right	ADV
ejpam-3306	360	8	consistent	consistent	ADJ
ejpam-3306	360	9	and	and	CCONJ
ejpam-3306	360	10	a	a	DET
ejpam-3306	360	11	be	be	AUX
ejpam-3306	360	12	a	a	DET
ejpam-3306	360	13	right	right	ADJ
ejpam-3306	360	14	ideal	ideal	NOUN
ejpam-3306	360	15	of	of	ADP
ejpam-3306	360	16	h.	h.	PROPN
ejpam-3306	360	17	if	if	SCONJ
ejpam-3306	360	18	t	t	PROPN
ejpam-3306	360	19	∈	∈	PROPN
ejpam-3306	360	20	a	a	PRON
ejpam-3306	360	21	,	,	PUNCT
ejpam-3306	360	22	then	then	ADV
ejpam-3306	360	23	clearly	clearly	ADV
ejpam-3306	360	24	t	t	X
ejpam-3306	360	25	∈	∈	PROPN
ejpam-3306	360	26	(	(	PUNCT
ejpam-3306	360	27	t)r	t)r	NOUN
ejpam-3306	360	28	⊆	⊆	NUM
ejpam-3306	360	29	⋂	⋂	PROPN
ejpam-3306	360	30	{	{	PUNCT
ejpam-3306	360	31	(	(	PUNCT
ejpam-3306	360	32	x)r	x)r	PUNCT
ejpam-3306	360	33	|	|	ADV
ejpam-3306	360	34	x	x	SYM
ejpam-3306	360	35	∈	∈	PROPN
ejpam-3306	360	36	a	a	PRON
ejpam-3306	360	37	}	}	PUNCT
ejpam-3306	360	38	.	.	PUNCT
ejpam-3306	361	1	conversely	conversely	ADV
ejpam-3306	361	2	,	,	PUNCT
ejpam-3306	361	3	let	let	VERB
ejpam-3306	361	4	t	t	PROPN
ejpam-3306	361	5	∈	∈	PROPN
ejpam-3306	361	6	(	(	PUNCT
ejpam-3306	361	7	x)r	x)r	PUNCT
ejpam-3306	361	8	for	for	SCONJ
ejpam-3306	361	9	every	every	DET
ejpam-3306	361	10	x	x	SYM
ejpam-3306	361	11	∈	∈	PROPN
ejpam-3306	361	12	a.	a.	NOUN
ejpam-3306	361	13	take	take	VERB
ejpam-3306	361	14	an	an	DET
ejpam-3306	361	15	element	element	NOUN
ejpam-3306	361	16	a	a	DET
ejpam-3306	361	17	∈	∈	PROPN
ejpam-3306	361	18	a	a	DET
ejpam-3306	361	19	(	(	PUNCT
ejpam-3306	361	20	a	a	PRON
ejpam-3306	361	21	6=	6=	NUM
ejpam-3306	361	22	∅	∅	NOUN
ejpam-3306	361	23	)	)	PUNCT
ejpam-3306	361	24	.	.	PUNCT
ejpam-3306	362	1	since	since	SCONJ
ejpam-3306	362	2	t	t	PROPN
ejpam-3306	362	3	∈	∈	PROPN
ejpam-3306	362	4	(	(	PUNCT
ejpam-3306	362	5	a)r	a)r	NOUN
ejpam-3306	362	6	,	,	PUNCT
ejpam-3306	362	7	we	we	PRON
ejpam-3306	362	8	have	have	VERB
ejpam-3306	362	9	(	(	PUNCT
ejpam-3306	362	10	t	t	PROPN
ejpam-3306	362	11	,	,	PUNCT
ejpam-3306	362	12	a	a	PRON
ejpam-3306	362	13	)	)	PUNCT
ejpam-3306	362	14	∈	∈	PROPN
ejpam-3306	362	15	r.	r.	NOUN
ejpam-3306	362	16	on	on	ADP
ejpam-3306	362	17	the	the	DET
ejpam-3306	362	18	other	other	ADJ
ejpam-3306	362	19	hand	hand	NOUN
ejpam-3306	362	20	,	,	PUNCT
ejpam-3306	362	21	by	by	ADP
ejpam-3306	362	22	proposition	proposition	NOUN
ejpam-3306	362	23	3.29	3.29	NUM
ejpam-3306	362	24	,	,	PUNCT
ejpam-3306	362	25	we	we	PRON
ejpam-3306	362	26	have	have	VERB
ejpam-3306	362	27	r	r	NOUN
ejpam-3306	362	28	=	=	SYM
ejpam-3306	362	29	⋂	⋂	NUM
ejpam-3306	363	1	σi	σi	INTJ
ejpam-3306	364	1	|	|	ADV
ejpam-3306	364	2	i	i	PRON
ejpam-3306	364	3	∈	∈	VERB
ejpam-3306	364	4	a	a	PRON
ejpam-3306	364	5	}	}	PUNCT
ejpam-3306	364	6	.	.	PUNCT
ejpam-3306	365	1	since	since	SCONJ
ejpam-3306	365	2	(	(	PUNCT
ejpam-3306	365	3	t	t	PROPN
ejpam-3306	365	4	,	,	PUNCT
ejpam-3306	365	5	a	a	PRON
ejpam-3306	365	6	)	)	PUNCT
ejpam-3306	365	7	∈	∈	NOUN
ejpam-3306	365	8	r	r	NOUN
ejpam-3306	365	9	and	and	CCONJ
ejpam-3306	365	10	a	a	DET
ejpam-3306	365	11	∈	∈	PROPN
ejpam-3306	365	12	a	a	X
ejpam-3306	365	13	,	,	PUNCT
ejpam-3306	365	14	we	we	PRON
ejpam-3306	365	15	have	have	VERB
ejpam-3306	365	16	(	(	PUNCT
ejpam-3306	365	17	t	t	PROPN
ejpam-3306	365	18	,	,	PUNCT
ejpam-3306	365	19	a	a	PRON
ejpam-3306	365	20	)	)	PUNCT
ejpam-3306	365	21	∈	∈	NOUN
ejpam-3306	365	22	σa	σa	NOUN
ejpam-3306	365	23	;	;	PUNCT
ejpam-3306	365	24	since	since	SCONJ
ejpam-3306	365	25	a	a	DET
ejpam-3306	365	26	∈	∈	PROPN
ejpam-3306	365	27	a	a	X
ejpam-3306	365	28	,	,	PUNCT
ejpam-3306	365	29	we	we	PRON
ejpam-3306	365	30	have	have	VERB
ejpam-3306	365	31	t	t	PROPN
ejpam-3306	365	32	∈	∈	PROPN
ejpam-3306	365	33	a	a	PRON
ejpam-3306	365	34	and	and	CCONJ
ejpam-3306	365	35	property	property	NOUN
ejpam-3306	365	36	(	(	PUNCT
ejpam-3306	365	37	1	1	NUM
ejpam-3306	365	38	)	)	PUNCT
ejpam-3306	365	39	is	be	AUX
ejpam-3306	365	40	satisfied	satisfied	ADJ
ejpam-3306	365	41	.	.	PUNCT
ejpam-3306	366	1	if	if	SCONJ
ejpam-3306	366	2	h	h	NOUN
ejpam-3306	366	3	is	be	AUX
ejpam-3306	366	4	left	leave	VERB
ejpam-3306	366	5	consistent	consistent	ADJ
ejpam-3306	366	6	,	,	PUNCT
ejpam-3306	366	7	then	then	ADV
ejpam-3306	366	8	property	property	NOUN
ejpam-3306	366	9	(	(	PUNCT
ejpam-3306	366	10	2	2	X
ejpam-3306	366	11	)	)	PUNCT
ejpam-3306	366	12	holds	hold	VERB
ejpam-3306	366	13	at	at	ADP
ejpam-3306	366	14	a	a	DET
ejpam-3306	366	15	similar	similar	ADJ
ejpam-3306	366	16	way	way	NOUN
ejpam-3306	366	17	.	.	PUNCT
ejpam-3306	367	1	�	�	PROPN
ejpam-3306	367	2	in	in	ADP
ejpam-3306	367	3	what	what	PRON
ejpam-3306	367	4	follows	follow	VERB
ejpam-3306	367	5	,	,	PUNCT
ejpam-3306	367	6	following	follow	VERB
ejpam-3306	367	7	[	[	X
ejpam-3306	367	8	2	2	NUM
ejpam-3306	367	9	,	,	PUNCT
ejpam-3306	367	10	3	3	NUM
ejpam-3306	367	11	]	]	PUNCT
ejpam-3306	367	12	,	,	PUNCT
ejpam-3306	367	13	we	we	PRON
ejpam-3306	367	14	characterize	characterize	VERB
ejpam-3306	367	15	the	the	DET
ejpam-3306	367	16	right	right	NOUN
ejpam-3306	367	17	(	(	PUNCT
ejpam-3306	367	18	left	left	ADJ
ejpam-3306	367	19	)	)	PUNCT
ejpam-3306	367	20	consistent	consistent	ADJ
ejpam-3306	367	21	right	right	INTJ
ejpam-3306	367	22	(	(	PUNCT
ejpam-3306	367	23	left	left	ADJ
ejpam-3306	367	24	)	)	PUNCT
ejpam-3306	367	25	simple	simple	ADJ
ejpam-3306	367	26	hypergroupoids	hypergroupoid	NOUN
ejpam-3306	367	27	and	and	CCONJ
ejpam-3306	367	28	the	the	DET
ejpam-3306	367	29	intra	intra	ADJ
ejpam-3306	367	30	-	-	ADJ
ejpam-3306	367	31	consistent	consistent	ADJ
ejpam-3306	367	32	right	right	NOUN
ejpam-3306	367	33	(	(	PUNCT
ejpam-3306	367	34	left	left	ADJ
ejpam-3306	367	35	)	)	PUNCT
ejpam-3306	367	36	simple	simple	ADJ
ejpam-3306	367	37	hypergroupoids	hypergroupoid	NOUN
ejpam-3306	367	38	.	.	PUNCT
ejpam-3306	368	1	an	an	DET
ejpam-3306	368	2	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	368	3	h	h	NOUN
ejpam-3306	368	4	is	be	AUX
ejpam-3306	368	5	called	call	VERB
ejpam-3306	368	6	right	right	ADJ
ejpam-3306	368	7	(	(	PUNCT
ejpam-3306	368	8	resp	resp	NOUN
ejpam-3306	368	9	.	.	PUNCT
ejpam-3306	369	1	left	leave	VERB
ejpam-3306	369	2	)	)	PUNCT
ejpam-3306	369	3	simple	simple	ADJ
ejpam-3306	369	4	if	if	SCONJ
ejpam-3306	369	5	h	h	NOUN
ejpam-3306	369	6	is	be	AUX
ejpam-3306	369	7	the	the	DET
ejpam-3306	369	8	only	only	ADJ
ejpam-3306	369	9	right	right	ADJ
ejpam-3306	369	10	(	(	PUNCT
ejpam-3306	369	11	resp	resp	NOUN
ejpam-3306	369	12	.	.	PUNCT
ejpam-3306	370	1	left	left	ADJ
ejpam-3306	370	2	)	)	PUNCT
ejpam-3306	370	3	ideal	ideal	NOUN
ejpam-3306	370	4	of	of	ADP
ejpam-3306	370	5	h	h	NOUN
ejpam-3306	370	6	;	;	PUNCT
ejpam-3306	370	7	in	in	ADP
ejpam-3306	370	8	other	other	ADJ
ejpam-3306	370	9	words	word	NOUN
ejpam-3306	370	10	,	,	PUNCT
ejpam-3306	370	11	if	if	SCONJ
ejpam-3306	370	12	t	t	PROPN
ejpam-3306	370	13	is	be	AUX
ejpam-3306	370	14	a	a	DET
ejpam-3306	370	15	right	right	ADJ
ejpam-3306	370	16	(	(	PUNCT
ejpam-3306	370	17	resp	resp	NOUN
ejpam-3306	370	18	.	.	PUNCT
ejpam-3306	371	1	left	left	ADJ
ejpam-3306	371	2	)	)	PUNCT
ejpam-3306	371	3	ideal	ideal	NOUN
ejpam-3306	371	4	of	of	ADP
ejpam-3306	371	5	h	h	NOUN
ejpam-3306	371	6	,	,	PUNCT
ejpam-3306	371	7	then	then	ADV
ejpam-3306	371	8	t	t	PROPN
ejpam-3306	371	9	=	=	SYM
ejpam-3306	371	10	h.	h.	PROPN
ejpam-3306	371	11	proposition	proposition	NOUN
ejpam-3306	371	12	3.31	3.31	NUM
ejpam-3306	371	13	.	.	PUNCT
ejpam-3306	372	1	if	if	SCONJ
ejpam-3306	372	2	h	h	NOUN
ejpam-3306	372	3	is	be	AUX
ejpam-3306	372	4	an	an	DET
ejpam-3306	372	5	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	372	6	such	such	ADJ
ejpam-3306	372	7	that	that	SCONJ
ejpam-3306	372	8	a	a	DET
ejpam-3306	372	9	∗h	∗h	NOUN
ejpam-3306	372	10	=	=	SYM
ejpam-3306	372	11	h	h	NOUN
ejpam-3306	372	12	(	(	PUNCT
ejpam-3306	372	13	resp	resp	NOUN
ejpam-3306	372	14	.	.	PUNCT
ejpam-3306	373	1	h	h	PROPN
ejpam-3306	373	2	∗	∗	VERB
ejpam-3306	373	3	a	a	DET
ejpam-3306	373	4	=	=	ADJ
ejpam-3306	373	5	h	h	NOUN
ejpam-3306	373	6	)	)	PUNCT
ejpam-3306	373	7	for	for	ADP
ejpam-3306	373	8	every	every	DET
ejpam-3306	373	9	a	a	DET
ejpam-3306	373	10	∈	∈	PROPN
ejpam-3306	373	11	h	h	NOUN
ejpam-3306	373	12	,	,	PUNCT
ejpam-3306	373	13	then	then	ADV
ejpam-3306	373	14	h	h	NOUN
ejpam-3306	373	15	right	right	ADJ
ejpam-3306	373	16	(	(	PUNCT
ejpam-3306	373	17	resp	resp	NOUN
ejpam-3306	373	18	.	.	PUNCT
ejpam-3306	374	1	left	leave	VERB
ejpam-3306	374	2	)	)	PUNCT
ejpam-3306	374	3	simple	simple	ADJ
ejpam-3306	374	4	.	.	PUNCT
ejpam-3306	375	1	proof	proof	NOUN
ejpam-3306	375	2	.	.	PUNCT
ejpam-3306	376	1	let	let	VERB
ejpam-3306	376	2	a	a	DET
ejpam-3306	376	3	∗	∗	NOUN
ejpam-3306	376	4	h	h	NOUN
ejpam-3306	377	1	=	=	NOUN
ejpam-3306	377	2	h	h	PROPN
ejpam-3306	377	3	for	for	ADP
ejpam-3306	377	4	every	every	DET
ejpam-3306	377	5	a	a	DET
ejpam-3306	377	6	∈	∈	PROPN
ejpam-3306	377	7	h	h	NOUN
ejpam-3306	378	1	and	and	CCONJ
ejpam-3306	378	2	let	let	VERB
ejpam-3306	378	3	t	t	PROPN
ejpam-3306	378	4	be	be	AUX
ejpam-3306	378	5	a	a	DET
ejpam-3306	378	6	right	right	ADJ
ejpam-3306	378	7	ideal	ideal	NOUN
ejpam-3306	378	8	of	of	ADP
ejpam-3306	378	9	h.	h.	PROPN
ejpam-3306	379	1	then	then	ADV
ejpam-3306	379	2	t	t	PROPN
ejpam-3306	379	3	=	=	SYM
ejpam-3306	379	4	h.	h.	PROPN
ejpam-3306	379	5	indeed	indeed	ADV
ejpam-3306	379	6	:	:	PUNCT
ejpam-3306	379	7	let	let	VERB
ejpam-3306	379	8	b	b	X
ejpam-3306	379	9	∈	∈	PROPN
ejpam-3306	379	10	h.	h.	NOUN
ejpam-3306	379	11	take	take	VERB
ejpam-3306	379	12	an	an	DET
ejpam-3306	379	13	element	element	NOUN
ejpam-3306	379	14	t	t	PROPN
ejpam-3306	379	15	∈	∈	PROPN
ejpam-3306	379	16	t	t	PROPN
ejpam-3306	379	17	(	(	PUNCT
ejpam-3306	379	18	t	t	PROPN
ejpam-3306	379	19	6=	6=	NUM
ejpam-3306	379	20	∅	∅	NOUN
ejpam-3306	379	21	)	)	PUNCT
ejpam-3306	379	22	.	.	PUNCT
ejpam-3306	380	1	since	since	SCONJ
ejpam-3306	380	2	t	t	PROPN
ejpam-3306	380	3	∈	∈	PROPN
ejpam-3306	380	4	h	h	NOUN
ejpam-3306	380	5	,	,	PUNCT
ejpam-3306	380	6	by	by	ADP
ejpam-3306	380	7	hypothesis	hypothesis	NOUN
ejpam-3306	380	8	,	,	PUNCT
ejpam-3306	380	9	we	we	PRON
ejpam-3306	380	10	have	have	VERB
ejpam-3306	380	11	t	t	PROPN
ejpam-3306	380	12	∗	∗	NOUN
ejpam-3306	380	13	h	h	NOUN
ejpam-3306	381	1	=	=	PROPN
ejpam-3306	381	2	h.	h.	PROPN
ejpam-3306	381	3	since	since	SCONJ
ejpam-3306	381	4	b	b	PROPN
ejpam-3306	381	5	∈	∈	PROPN
ejpam-3306	381	6	h	h	NOUN
ejpam-3306	381	7	,	,	PUNCT
ejpam-3306	381	8	we	we	PRON
ejpam-3306	381	9	have	have	VERB
ejpam-3306	381	10	b	b	PROPN
ejpam-3306	381	11	∈	∈	PROPN
ejpam-3306	381	12	t	t	PROPN
ejpam-3306	381	13	◦	◦	NOUN
ejpam-3306	381	14	h	h	NOUN
ejpam-3306	381	15	for	for	ADP
ejpam-3306	381	16	some	some	DET
ejpam-3306	381	17	h	h	NOUN
ejpam-3306	381	18	∈	∈	PROPN
ejpam-3306	381	19	h.	h.	NOUN
ejpam-3306	382	1	then	then	ADV
ejpam-3306	382	2	we	we	PRON
ejpam-3306	382	3	have	have	VERB
ejpam-3306	382	4	b	b	PROPN
ejpam-3306	382	5	∈	∈	PROPN
ejpam-3306	382	6	t	t	PROPN
ejpam-3306	382	7	◦	◦	NOUN
ejpam-3306	382	8	h	h	NOUN
ejpam-3306	382	9	⊆	⊆	NUM
ejpam-3306	382	10	t	t	NOUN
ejpam-3306	382	11	∗h	∗h	VERB
ejpam-3306	382	12	⊆	⊆	NUM
ejpam-3306	382	13	t	t	NOUN
ejpam-3306	382	14	and	and	CCONJ
ejpam-3306	382	15	so	so	ADV
ejpam-3306	382	16	t	t	PROPN
ejpam-3306	382	17	=	=	SYM
ejpam-3306	382	18	h.	h.	PROPN
ejpam-3306	382	19	similarly	similarly	ADV
ejpam-3306	382	20	if	if	SCONJ
ejpam-3306	382	21	h	h	NOUN
ejpam-3306	382	22	is	be	AUX
ejpam-3306	382	23	left	leave	VERB
ejpam-3306	382	24	simple	simple	ADJ
ejpam-3306	382	25	,	,	PUNCT
ejpam-3306	382	26	then	then	ADV
ejpam-3306	382	27	h	h	NOUN
ejpam-3306	382	28	∗	∗	VERB
ejpam-3306	382	29	a	a	DET
ejpam-3306	382	30	=	=	ADJ
ejpam-3306	382	31	h	h	NOUN
ejpam-3306	382	32	for	for	ADP
ejpam-3306	382	33	every	every	DET
ejpam-3306	382	34	a	a	DET
ejpam-3306	382	35	∈	∈	PROPN
ejpam-3306	382	36	h.	h.	PROPN
ejpam-3306	382	37	�	�	PROPN
ejpam-3306	382	38	proposition	proposition	PROPN
ejpam-3306	382	39	3.32	3.32	NUM
ejpam-3306	382	40	.	.	PUNCT
ejpam-3306	383	1	let	let	VERB
ejpam-3306	383	2	h	h	PRON
ejpam-3306	383	3	be	be	AUX
ejpam-3306	383	4	a	a	DET
ejpam-3306	383	5	right	right	ADJ
ejpam-3306	383	6	(	(	PUNCT
ejpam-3306	383	7	resp	resp	NOUN
ejpam-3306	383	8	.	.	PUNCT
ejpam-3306	384	1	left	leave	VERB
ejpam-3306	384	2	)	)	PUNCT
ejpam-3306	384	3	consistent	consistent	ADJ
ejpam-3306	384	4	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	384	5	.	.	PUNCT
ejpam-3306	385	1	if	if	SCONJ
ejpam-3306	385	2	h	h	NOUN
ejpam-3306	385	3	is	be	AUX
ejpam-3306	385	4	right	right	ADJ
ejpam-3306	385	5	(	(	PUNCT
ejpam-3306	385	6	resp	resp	NOUN
ejpam-3306	385	7	.	.	PUNCT
ejpam-3306	386	1	left	leave	VERB
ejpam-3306	386	2	)	)	PUNCT
ejpam-3306	386	3	simple	simple	ADJ
ejpam-3306	386	4	then	then	ADV
ejpam-3306	386	5	,	,	PUNCT
ejpam-3306	386	6	for	for	ADP
ejpam-3306	386	7	every	every	DET
ejpam-3306	386	8	a	a	DET
ejpam-3306	386	9	∈	∈	PROPN
ejpam-3306	386	10	h	h	NOUN
ejpam-3306	386	11	,	,	PUNCT
ejpam-3306	386	12	we	we	PRON
ejpam-3306	386	13	have	have	VERB
ejpam-3306	386	14	a	a	DET
ejpam-3306	386	15	∗h	∗h	NOUN
ejpam-3306	386	16	=	=	SYM
ejpam-3306	386	17	h	h	NOUN
ejpam-3306	386	18	(	(	PUNCT
ejpam-3306	386	19	resp	resp	NOUN
ejpam-3306	386	20	.	.	PUNCT
ejpam-3306	387	1	h	h	PROPN
ejpam-3306	387	2	∗	∗	VERB
ejpam-3306	387	3	a	a	DET
ejpam-3306	387	4	=	=	ADJ
ejpam-3306	387	5	h	h	NOUN
ejpam-3306	387	6	)	)	PUNCT
ejpam-3306	387	7	.	.	PUNCT
ejpam-3306	388	1	proof	proof	NOUN
ejpam-3306	388	2	.	.	PUNCT
ejpam-3306	389	1	suppose	suppose	VERB
ejpam-3306	389	2	h	h	NOUN
ejpam-3306	389	3	is	be	AUX
ejpam-3306	389	4	right	right	ADV
ejpam-3306	389	5	simple	simple	ADJ
ejpam-3306	389	6	and	and	CCONJ
ejpam-3306	389	7	let	let	VERB
ejpam-3306	389	8	a	a	DET
ejpam-3306	389	9	∈	∈	PROPN
ejpam-3306	389	10	h.	h.	NOUN
ejpam-3306	389	11	the	the	DET
ejpam-3306	389	12	set	set	NOUN
ejpam-3306	389	13	a	a	DET
ejpam-3306	389	14	∗	∗	NOUN
ejpam-3306	389	15	h	h	NOUN
ejpam-3306	389	16	is	be	AUX
ejpam-3306	389	17	a	a	DET
ejpam-3306	389	18	right	right	ADJ
ejpam-3306	389	19	ideal	ideal	NOUN
ejpam-3306	389	20	of	of	ADP
ejpam-3306	389	21	h.	h.	PROPN
ejpam-3306	390	1	indeed	indeed	ADV
ejpam-3306	390	2	:	:	PUNCT
ejpam-3306	390	3	let	let	VERB
ejpam-3306	390	4	t	t	PROPN
ejpam-3306	390	5	∈	∈	PROPN
ejpam-3306	390	6	(	(	PUNCT
ejpam-3306	390	7	a	a	DET
ejpam-3306	390	8	∗h	∗h	NOUN
ejpam-3306	390	9	)	)	PUNCT
ejpam-3306	390	10	∗h	∗h	NOUN
ejpam-3306	390	11	.	.	PUNCT
ejpam-3306	391	1	then	then	ADV
ejpam-3306	391	2	t	t	PROPN
ejpam-3306	391	3	∈	∈	PROPN
ejpam-3306	391	4	u	u	PROPN
ejpam-3306	391	5	◦	◦	NOUN
ejpam-3306	391	6	v	v	NOUN
ejpam-3306	391	7	for	for	ADP
ejpam-3306	391	8	some	some	DET
ejpam-3306	391	9	u	u	NOUN
ejpam-3306	391	10	∈	∈	PROPN
ejpam-3306	391	11	a	a	DET
ejpam-3306	391	12	∗h	∗h	NOUN
ejpam-3306	391	13	,	,	PUNCT
ejpam-3306	391	14	v	v	PROPN
ejpam-3306	391	15	∈	∈	PROPN
ejpam-3306	391	16	h.	h.	NOUN
ejpam-3306	391	17	since	since	SCONJ
ejpam-3306	391	18	u	u	PROPN
ejpam-3306	391	19	∈	∈	PROPN
ejpam-3306	391	20	a	a	DET
ejpam-3306	391	21	∗h	∗h	NOUN
ejpam-3306	391	22	,	,	PUNCT
ejpam-3306	391	23	we	we	PRON
ejpam-3306	391	24	have	have	VERB
ejpam-3306	391	25	u	u	NOUN
ejpam-3306	391	26	∈	∈	PROPN
ejpam-3306	391	27	a	a	DET
ejpam-3306	391	28	◦	◦	NOUN
ejpam-3306	391	29	w	w	NOUN
ejpam-3306	391	30	for	for	ADP
ejpam-3306	391	31	some	some	DET
ejpam-3306	391	32	w	w	PROPN
ejpam-3306	391	33	∈	∈	PROPN
ejpam-3306	391	34	h.	h.	NOUN
ejpam-3306	391	35	then	then	ADV
ejpam-3306	391	36	we	we	PRON
ejpam-3306	391	37	have	have	VERB
ejpam-3306	391	38	t	t	PROPN
ejpam-3306	391	39	∈	∈	PROPN
ejpam-3306	391	40	u	u	NOUN
ejpam-3306	391	41	◦	◦	NOUN
ejpam-3306	391	42	v	v	NUM
ejpam-3306	391	43	⊆	⊆	NUM
ejpam-3306	391	44	(	(	PUNCT
ejpam-3306	391	45	a	a	DET
ejpam-3306	391	46	◦	◦	NOUN
ejpam-3306	391	47	w	w	NOUN
ejpam-3306	391	48	)	)	PUNCT
ejpam-3306	391	49	∗	∗	NOUN
ejpam-3306	391	50	{	{	PUNCT
ejpam-3306	391	51	v	v	NOUN
ejpam-3306	391	52	}	}	PUNCT
ejpam-3306	391	53	⊆	⊆	NUM
ejpam-3306	391	54	(	(	PUNCT
ejpam-3306	391	55	a	a	DET
ejpam-3306	391	56	◦	◦	NOUN
ejpam-3306	391	57	w	w	NOUN
ejpam-3306	391	58	)	)	PUNCT
ejpam-3306	391	59	∗h	∗h	NOUN
ejpam-3306	391	60	=	=	SYM
ejpam-3306	391	61	{	{	PUNCT
ejpam-3306	391	62	a	a	DET
ejpam-3306	391	63	}	}	PUNCT
ejpam-3306	391	64	∗	∗	NOUN
ejpam-3306	391	65	(	(	PUNCT
ejpam-3306	391	66	w	w	NOUN
ejpam-3306	391	67	∗h	∗h	NOUN
ejpam-3306	391	68	)	)	PUNCT
ejpam-3306	391	69	(	(	PUNCT
ejpam-3306	391	70	since	since	SCONJ
ejpam-3306	391	71	h	h	NOUN
ejpam-3306	391	72	is	be	AUX
ejpam-3306	391	73	right	right	ADV
ejpam-3306	391	74	consistent	consistent	ADJ
ejpam-3306	391	75	)	)	PUNCT
ejpam-3306	391	76	⊆	⊆	NUM
ejpam-3306	391	77	{	{	PUNCT
ejpam-3306	391	78	a	a	DET
ejpam-3306	391	79	}	}	PUNCT
ejpam-3306	391	80	∗	∗	NOUN
ejpam-3306	391	81	(	(	PUNCT
ejpam-3306	391	82	h	h	NOUN
ejpam-3306	391	83	∗h	∗h	NOUN
ejpam-3306	391	84	)	)	PUNCT
ejpam-3306	391	85	⊆	⊆	NUM
ejpam-3306	391	86	a	a	DET
ejpam-3306	391	87	∗h	∗h	NOUN
ejpam-3306	391	88	,	,	PUNCT
ejpam-3306	391	89	then	then	ADV
ejpam-3306	391	90	t	t	PROPN
ejpam-3306	391	91	∈	∈	PROPN
ejpam-3306	391	92	a∗h	a∗h	PRON
ejpam-3306	392	1	and	and	CCONJ
ejpam-3306	392	2	so	so	ADV
ejpam-3306	392	3	a∗h	a∗h	PROPN
ejpam-3306	392	4	is	be	AUX
ejpam-3306	392	5	a	a	DET
ejpam-3306	392	6	right	right	ADJ
ejpam-3306	392	7	ideal	ideal	NOUN
ejpam-3306	392	8	of	of	ADP
ejpam-3306	392	9	h.	h.	PROPN
ejpam-3306	392	10	since	since	SCONJ
ejpam-3306	392	11	h	h	PROPN
ejpam-3306	392	12	is	be	AUX
ejpam-3306	392	13	right	right	ADJ
ejpam-3306	392	14	simple	simple	ADJ
ejpam-3306	392	15	,	,	PUNCT
ejpam-3306	392	16	we	we	PRON
ejpam-3306	392	17	have	have	VERB
ejpam-3306	392	18	a∗h	a∗h	PROPN
ejpam-3306	392	19	=	=	SYM
ejpam-3306	392	20	h.	h.	NOUN
ejpam-3306	392	21	if	if	SCONJ
ejpam-3306	392	22	h	h	NOUN
ejpam-3306	392	23	is	be	AUX
ejpam-3306	392	24	left	leave	VERB
ejpam-3306	392	25	consistent	consistent	ADJ
ejpam-3306	392	26	then	then	ADV
ejpam-3306	392	27	,	,	PUNCT
ejpam-3306	392	28	in	in	ADP
ejpam-3306	392	29	a	a	DET
ejpam-3306	392	30	similar	similar	ADJ
ejpam-3306	392	31	way	way	NOUN
ejpam-3306	392	32	we	we	PRON
ejpam-3306	392	33	get	get	VERB
ejpam-3306	392	34	h	h	NOUN
ejpam-3306	392	35	∗	∗	NOUN
ejpam-3306	392	36	a	a	DET
ejpam-3306	392	37	=	=	X
ejpam-3306	392	38	h.	h.	PROPN
ejpam-3306	392	39	�	�	PROPN
ejpam-3306	392	40	by	by	ADP
ejpam-3306	392	41	propositions	proposition	NOUN
ejpam-3306	392	42	3.31	3.31	NUM
ejpam-3306	392	43	and	and	CCONJ
ejpam-3306	392	44	3.32	3.32	NUM
ejpam-3306	392	45	we	we	PRON
ejpam-3306	392	46	have	have	VERB
ejpam-3306	392	47	the	the	DET
ejpam-3306	392	48	following	follow	VERB
ejpam-3306	392	49	proposition	proposition	NOUN
ejpam-3306	392	50	3.33	3.33	NUM
ejpam-3306	392	51	.	.	PUNCT
ejpam-3306	393	1	a	a	DET
ejpam-3306	393	2	right	right	NOUN
ejpam-3306	393	3	(	(	PUNCT
ejpam-3306	393	4	resp	resp	NOUN
ejpam-3306	393	5	.	.	PUNCT
ejpam-3306	394	1	left	leave	VERB
ejpam-3306	394	2	)	)	PUNCT
ejpam-3306	394	3	consistent	consistent	ADJ
ejpam-3306	394	4	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	394	5	h	h	PROPN
ejpam-3306	394	6	is	be	AUX
ejpam-3306	394	7	right	right	ADJ
ejpam-3306	394	8	(	(	PUNCT
ejpam-3306	394	9	resp	resp	NOUN
ejpam-3306	394	10	.	.	PUNCT
ejpam-3306	395	1	left	leave	VERB
ejpam-3306	395	2	)	)	PUNCT
ejpam-3306	395	3	simple	simple	ADJ
ejpam-3306	395	4	if	if	SCONJ
ejpam-3306	395	5	and	and	CCONJ
ejpam-3306	395	6	only	only	ADV
ejpam-3306	395	7	if	if	SCONJ
ejpam-3306	395	8	,	,	PUNCT
ejpam-3306	395	9	for	for	ADP
ejpam-3306	395	10	any	any	DET
ejpam-3306	395	11	a	a	DET
ejpam-3306	395	12	∈	∈	PROPN
ejpam-3306	395	13	h	h	NOUN
ejpam-3306	395	14	,	,	PUNCT
ejpam-3306	395	15	we	we	PRON
ejpam-3306	395	16	have	have	VERB
ejpam-3306	395	17	a	a	DET
ejpam-3306	395	18	∗h	∗h	NOUN
ejpam-3306	395	19	=	=	SYM
ejpam-3306	395	20	h	h	NOUN
ejpam-3306	395	21	(	(	PUNCT
ejpam-3306	395	22	resp	resp	NOUN
ejpam-3306	395	23	.	.	PUNCT
ejpam-3306	396	1	h	h	PROPN
ejpam-3306	396	2	∗	∗	VERB
ejpam-3306	396	3	a	a	DET
ejpam-3306	396	4	=	=	ADJ
ejpam-3306	396	5	h	h	NOUN
ejpam-3306	396	6	)	)	PUNCT
ejpam-3306	396	7	.	.	PUNCT
ejpam-3306	397	1	proposition	proposition	NOUN
ejpam-3306	397	2	3.34	3.34	NUM
ejpam-3306	397	3	.	.	PUNCT
ejpam-3306	398	1	let	let	VERB
ejpam-3306	398	2	h	h	PRON
ejpam-3306	398	3	be	be	AUX
ejpam-3306	398	4	an	an	DET
ejpam-3306	398	5	intra	intra	ADJ
ejpam-3306	398	6	-	-	ADJ
ejpam-3306	398	7	consistent	consistent	ADJ
ejpam-3306	398	8	hypergroupoid	hypergroupoid	NOUN
ejpam-3306	398	9	.	.	PUNCT
ejpam-3306	399	1	if	if	SCONJ
ejpam-3306	399	2	h	h	NOUN
ejpam-3306	399	3	is	be	AUX
ejpam-3306	399	4	right	right	ADJ
ejpam-3306	399	5	(	(	PUNCT
ejpam-3306	399	6	resp	resp	NOUN
ejpam-3306	399	7	.	.	PUNCT
ejpam-3306	400	1	left	leave	VERB
ejpam-3306	400	2	)	)	PUNCT
ejpam-3306	400	3	simple	simple	ADJ
ejpam-3306	400	4	then	then	ADV
ejpam-3306	400	5	,	,	PUNCT
ejpam-3306	400	6	for	for	ADP
ejpam-3306	400	7	every	every	DET
ejpam-3306	400	8	a	a	DET
ejpam-3306	400	9	∈	∈	PROPN
ejpam-3306	400	10	h	h	NOUN
ejpam-3306	400	11	,	,	PUNCT
ejpam-3306	400	12	we	we	PRON
ejpam-3306	400	13	have	have	VERB
ejpam-3306	400	14	a	a	DET
ejpam-3306	400	15	∗h	∗h	NOUN
ejpam-3306	400	16	=	=	SYM
ejpam-3306	400	17	h	h	NOUN
ejpam-3306	400	18	(	(	PUNCT
ejpam-3306	400	19	resp	resp	NOUN
ejpam-3306	400	20	.	.	PUNCT
ejpam-3306	401	1	h	h	PROPN
ejpam-3306	401	2	∗	∗	VERB
ejpam-3306	401	3	a	a	DET
ejpam-3306	401	4	=	=	ADJ
ejpam-3306	401	5	h	h	NOUN
ejpam-3306	401	6	)	)	PUNCT
ejpam-3306	401	7	.	.	PUNCT
ejpam-3306	402	1	references	reference	NOUN
ejpam-3306	402	2	611	611	NUM
ejpam-3306	402	3	proof	proof	NOUN
ejpam-3306	402	4	.	.	PUNCT
ejpam-3306	403	1	let	let	VERB
ejpam-3306	403	2	h	h	PRON
ejpam-3306	403	3	be	be	AUX
ejpam-3306	403	4	right	right	ADV
ejpam-3306	403	5	simple	simple	ADJ
ejpam-3306	403	6	and	and	CCONJ
ejpam-3306	403	7	a	a	DET
ejpam-3306	403	8	∈	∈	PROPN
ejpam-3306	403	9	h.	h.	NOUN
ejpam-3306	404	1	the	the	DET
ejpam-3306	404	2	set	set	NOUN
ejpam-3306	404	3	a	a	DET
ejpam-3306	404	4	∗	∗	NOUN
ejpam-3306	404	5	h	h	NOUN
ejpam-3306	404	6	is	be	AUX
ejpam-3306	404	7	a	a	DET
ejpam-3306	404	8	right	right	ADJ
ejpam-3306	404	9	ideal	ideal	NOUN
ejpam-3306	404	10	of	of	ADP
ejpam-3306	404	11	h.	h.	PROPN
ejpam-3306	404	12	indeed	indeed	ADV
ejpam-3306	404	13	:	:	PUNCT
ejpam-3306	404	14	let	let	VERB
ejpam-3306	404	15	t	t	PROPN
ejpam-3306	404	16	∈	∈	PROPN
ejpam-3306	404	17	(	(	PUNCT
ejpam-3306	404	18	a	a	DET
ejpam-3306	404	19	∗h	∗h	NOUN
ejpam-3306	404	20	)	)	PUNCT
ejpam-3306	404	21	∗h	∗h	NOUN
ejpam-3306	404	22	.	.	PUNCT
ejpam-3306	405	1	then	then	ADV
ejpam-3306	405	2	t	t	PROPN
ejpam-3306	405	3	∈	∈	PROPN
ejpam-3306	405	4	u	u	PROPN
ejpam-3306	405	5	◦	◦	NOUN
ejpam-3306	405	6	v	v	NOUN
ejpam-3306	405	7	for	for	ADP
ejpam-3306	405	8	some	some	DET
ejpam-3306	405	9	u	u	NOUN
ejpam-3306	405	10	∈	∈	PROPN
ejpam-3306	405	11	a	a	DET
ejpam-3306	405	12	∗h	∗h	NOUN
ejpam-3306	405	13	and	and	CCONJ
ejpam-3306	405	14	u	u	NOUN
ejpam-3306	405	15	∈	∈	PROPN
ejpam-3306	405	16	a	a	DET
ejpam-3306	405	17	◦	◦	NOUN
ejpam-3306	405	18	w	w	NOUN
ejpam-3306	405	19	for	for	ADP
ejpam-3306	405	20	some	some	DET
ejpam-3306	405	21	w	w	PROPN
ejpam-3306	405	22	∈	∈	PROPN
ejpam-3306	405	23	h.	h.	NOUN
ejpam-3306	405	24	then	then	ADV
ejpam-3306	405	25	we	we	PRON
ejpam-3306	405	26	have	have	VERB
ejpam-3306	405	27	t	t	PROPN
ejpam-3306	405	28	∈	∈	PROPN
ejpam-3306	405	29	u	u	NOUN
ejpam-3306	405	30	◦	◦	NOUN
ejpam-3306	405	31	v	v	NUM
ejpam-3306	405	32	⊆	⊆	NUM
ejpam-3306	405	33	(	(	PUNCT
ejpam-3306	405	34	a	a	DET
ejpam-3306	405	35	◦	◦	NOUN
ejpam-3306	405	36	w	w	NOUN
ejpam-3306	405	37	)	)	PUNCT
ejpam-3306	405	38	∗	∗	NOUN
ejpam-3306	405	39	{	{	PUNCT
ejpam-3306	405	40	v	v	NOUN
ejpam-3306	405	41	}	}	PUNCT
ejpam-3306	405	42	=	=	SYM
ejpam-3306	405	43	(	(	PUNCT
ejpam-3306	405	44	{	{	PUNCT
ejpam-3306	405	45	a	a	PRON
ejpam-3306	405	46	}	}	PUNCT
ejpam-3306	405	47	∗	∗	NOUN
ejpam-3306	405	48	{	{	PUNCT
ejpam-3306	405	49	w	w	NOUN
ejpam-3306	405	50	}	}	PUNCT
ejpam-3306	405	51	)	)	PUNCT
ejpam-3306	405	52	∗	∗	NOUN
ejpam-3306	405	53	{	{	PUNCT
ejpam-3306	405	54	v	v	NOUN
ejpam-3306	405	55	}	}	PUNCT
ejpam-3306	405	56	⊆	⊆	NUM
ejpam-3306	405	57	(	(	PUNCT
ejpam-3306	405	58	{	{	PUNCT
ejpam-3306	405	59	a	a	PRON
ejpam-3306	405	60	}	}	PUNCT
ejpam-3306	405	61	∗h	∗h	NOUN
ejpam-3306	405	62	)	)	PUNCT
ejpam-3306	405	63	∗	∗	NOUN
ejpam-3306	405	64	{	{	PUNCT
ejpam-3306	405	65	v	v	NOUN
ejpam-3306	405	66	}	}	PUNCT
ejpam-3306	405	67	=	=	PUNCT
ejpam-3306	405	68	{	{	PUNCT
ejpam-3306	405	69	a	a	DET
ejpam-3306	405	70	}	}	PUNCT
ejpam-3306	405	71	∗	∗	NOUN
ejpam-3306	405	72	(	(	PUNCT
ejpam-3306	405	73	h	h	NOUN
ejpam-3306	405	74	∗	∗	X
ejpam-3306	405	75	{	{	PUNCT
ejpam-3306	405	76	v	v	NOUN
ejpam-3306	405	77	}	}	PUNCT
ejpam-3306	405	78	)	)	PUNCT
ejpam-3306	405	79	(	(	PUNCT
ejpam-3306	405	80	since	since	SCONJ
ejpam-3306	405	81	h	h	PROPN
ejpam-3306	405	82	is	be	AUX
ejpam-3306	405	83	intra	intra	ADJ
ejpam-3306	405	84	-	-	ADJ
ejpam-3306	405	85	consistent	consistent	ADJ
ejpam-3306	405	86	)	)	PUNCT
ejpam-3306	405	87	⊆	⊆	NUM
ejpam-3306	405	88	{	{	PUNCT
ejpam-3306	405	89	a	a	DET
ejpam-3306	405	90	}	}	PUNCT
ejpam-3306	405	91	∗	∗	NOUN
ejpam-3306	405	92	(	(	PUNCT
ejpam-3306	405	93	h	h	NOUN
ejpam-3306	405	94	∗h	∗h	NOUN
ejpam-3306	405	95	)	)	PUNCT
ejpam-3306	405	96	⊆	⊆	NUM
ejpam-3306	405	97	a	a	DET
ejpam-3306	405	98	∗h	∗h	NOUN
ejpam-3306	405	99	,	,	PUNCT
ejpam-3306	405	100	so	so	SCONJ
ejpam-3306	405	101	t	t	PROPN
ejpam-3306	405	102	∈	∈	PROPN
ejpam-3306	405	103	a	a	DET
ejpam-3306	405	104	∗h	∗h	NOUN
ejpam-3306	405	105	and	and	CCONJ
ejpam-3306	405	106	h	h	NOUN
ejpam-3306	405	107	is	be	AUX
ejpam-3306	405	108	a	a	DET
ejpam-3306	405	109	right	right	ADJ
ejpam-3306	405	110	ideal	ideal	NOUN
ejpam-3306	405	111	of	of	ADP
ejpam-3306	405	112	h.	h.	PROPN
ejpam-3306	405	113	since	since	SCONJ
ejpam-3306	405	114	h	h	PROPN
ejpam-3306	405	115	is	be	AUX
ejpam-3306	405	116	right	right	ADJ
ejpam-3306	405	117	simple	simple	ADJ
ejpam-3306	405	118	,	,	PUNCT
ejpam-3306	405	119	we	we	PRON
ejpam-3306	405	120	have	have	VERB
ejpam-3306	405	121	a	a	DET
ejpam-3306	405	122	∗h	∗h	NOUN
ejpam-3306	405	123	=	=	SYM
ejpam-3306	405	124	h.	h.	NOUN
ejpam-3306	405	125	the	the	DET
ejpam-3306	405	126	“	"	PUNCT
ejpam-3306	405	127	dual	dual	ADJ
ejpam-3306	405	128	”	"	PUNCT
ejpam-3306	405	129	case	case	NOUN
ejpam-3306	405	130	can	can	AUX
ejpam-3306	405	131	be	be	AUX
ejpam-3306	405	132	proved	prove	VERB
ejpam-3306	405	133	similarly	similarly	ADV
ejpam-3306	405	134	.	.	PUNCT
ejpam-3306	406	1	�	�	PROPN
ejpam-3306	406	2	by	by	ADP
ejpam-3306	406	3	propositions	proposition	NOUN
ejpam-3306	406	4	3.31	3.31	NUM
ejpam-3306	406	5	and	and	CCONJ
ejpam-3306	406	6	3.34	3.34	NUM
ejpam-3306	406	7	we	we	PRON
ejpam-3306	406	8	have	have	VERB
ejpam-3306	406	9	the	the	DET
ejpam-3306	406	10	following	follow	VERB
ejpam-3306	406	11	proposition	proposition	NOUN
ejpam-3306	406	12	3.35	3.35	NUM
ejpam-3306	406	13	.	.	PUNCT
ejpam-3306	407	1	an	an	DET
ejpam-3306	407	2	intra	intra	ADJ
ejpam-3306	407	3	-	-	ADJ
ejpam-3306	407	4	consistent	consistent	ADJ
ejpam-3306	407	5	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	407	6	h	h	PROPN
ejpam-3306	407	7	is	be	AUX
ejpam-3306	407	8	right	right	ADJ
ejpam-3306	407	9	(	(	PUNCT
ejpam-3306	407	10	rep	rep	PROPN
ejpam-3306	407	11	.	.	PROPN
ejpam-3306	407	12	left	left	PROPN
ejpam-3306	407	13	)	)	PUNCT
ejpam-3306	407	14	simple	simple	ADJ
ejpam-3306	407	15	if	if	SCONJ
ejpam-3306	407	16	and	and	CCONJ
ejpam-3306	407	17	only	only	ADV
ejpam-3306	407	18	if	if	SCONJ
ejpam-3306	407	19	,	,	PUNCT
ejpam-3306	407	20	for	for	ADP
ejpam-3306	407	21	any	any	DET
ejpam-3306	407	22	a	a	DET
ejpam-3306	407	23	∈	∈	PROPN
ejpam-3306	407	24	h	h	NOUN
ejpam-3306	407	25	,	,	PUNCT
ejpam-3306	407	26	we	we	PRON
ejpam-3306	407	27	have	have	VERB
ejpam-3306	407	28	a	a	DET
ejpam-3306	407	29	∗h	∗h	NOUN
ejpam-3306	407	30	=	=	SYM
ejpam-3306	407	31	h	h	NOUN
ejpam-3306	407	32	(	(	PUNCT
ejpam-3306	407	33	resp	resp	NOUN
ejpam-3306	407	34	.	.	PUNCT
ejpam-3306	408	1	h	h	PROPN
ejpam-3306	408	2	∗	∗	VERB
ejpam-3306	408	3	a	a	DET
ejpam-3306	408	4	=	=	ADJ
ejpam-3306	408	5	h	h	NOUN
ejpam-3306	408	6	)	)	PUNCT
ejpam-3306	408	7	.	.	PUNCT
ejpam-3306	409	1	problem	problem	NOUN
ejpam-3306	409	2	.	.	PUNCT
ejpam-3306	410	1	find	find	VERB
ejpam-3306	410	2	conditions	condition	NOUN
ejpam-3306	410	3	under	under	ADP
ejpam-3306	410	4	which	which	PRON
ejpam-3306	410	5	for	for	ADP
ejpam-3306	410	6	a	a	DET
ejpam-3306	410	7	right	right	NOUN
ejpam-3306	410	8	(	(	PUNCT
ejpam-3306	410	9	left	left	ADJ
ejpam-3306	410	10	)	)	PUNCT
ejpam-3306	410	11	consistent	consistent	ADJ
ejpam-3306	410	12	or	or	CCONJ
ejpam-3306	410	13	intra	intra	ADJ
ejpam-3306	410	14	-	-	ADJ
ejpam-3306	410	15	consistent	consistent	ADJ
ejpam-3306	410	16	hypergroupoid	hypergroupoid	PROPN
ejpam-3306	410	17	h	h	NOUN
ejpam-3306	410	18	the	the	DET
ejpam-3306	410	19	equivalence	equivalence	NOUN
ejpam-3306	410	20	relations	relation	NOUN
ejpam-3306	410	21	r	r	NOUN
ejpam-3306	410	22	and	and	CCONJ
ejpam-3306	410	23	l	l	NOUN
ejpam-3306	410	24	are	be	AUX
ejpam-3306	410	25	semilattice	semilattice	NOUN
ejpam-3306	410	26	congruences	congruence	NOUN
ejpam-3306	410	27	on	on	ADP
ejpam-3306	410	28	h.	h.	PROPN
ejpam-3306	410	29	references	reference	NOUN
ejpam-3306	410	30	[	[	X
ejpam-3306	410	31	1	1	NUM
ejpam-3306	410	32	]	]	X
ejpam-3306	410	33	k.m	k.m	PROPN
ejpam-3306	410	34	.	.	PROPN
ejpam-3306	410	35	kapp	kapp	PROPN
ejpam-3306	410	36	.	.	PUNCT
ejpam-3306	411	1	green	green	PROPN
ejpam-3306	411	2	’s	’s	PART
ejpam-3306	411	3	lemma	lemma	PROPN
ejpam-3306	411	4	for	for	ADP
ejpam-3306	411	5	groupoids	groupoid	NOUN
ejpam-3306	411	6	.	.	PUNCT
ejpam-3306	412	1	rocky	rocky	ADJ
ejpam-3306	412	2	mountain	mountain	PROPN
ejpam-3306	412	3	j.	j.	PROPN
ejpam-3306	412	4	math	math	PROPN
ejpam-3306	412	5	.	.	PUNCT
ejpam-3306	413	1	1(3):551–559	1(3):551–559	NUM
ejpam-3306	413	2	,	,	PUNCT
ejpam-3306	413	3	1971	1971	NUM
ejpam-3306	413	4	.	.	PUNCT
ejpam-3306	414	1	[	[	X
ejpam-3306	414	2	2	2	NUM
ejpam-3306	414	3	]	]	PUNCT
ejpam-3306	414	4	n.	n.	NOUN
ejpam-3306	414	5	kehayopulu	kehayopulu	PROPN
ejpam-3306	414	6	.	.	PUNCT
ejpam-3306	415	1	note	note	NOUN
ejpam-3306	415	2	on	on	ADP
ejpam-3306	415	3	green	green	PROPN
ejpam-3306	415	4	’s	’s	PART
ejpam-3306	415	5	relations	relation	NOUN
ejpam-3306	415	6	in	in	ADP
ejpam-3306	415	7	ordered	order	VERB
ejpam-3306	415	8	semigroups	semigroup	NOUN
ejpam-3306	415	9	.	.	PUNCT
ejpam-3306	416	1	math	math	NOUN
ejpam-3306	416	2	.	.	PUNCT
ejpam-3306	417	1	japon	japon	PROPN
ejpam-3306	417	2	.	.	PUNCT
ejpam-3306	418	1	36(2):211–214	36(2):211–214	ADJ
ejpam-3306	418	2	,	,	PUNCT
ejpam-3306	418	3	1991	1991	NUM
ejpam-3306	418	4	.	.	PUNCT
ejpam-3306	419	1	[	[	X
ejpam-3306	419	2	3	3	X
ejpam-3306	419	3	]	]	X
ejpam-3306	419	4	n.	n.	NOUN
ejpam-3306	419	5	kehayopulu	kehayopulu	PROPN
ejpam-3306	419	6	.	.	PUNCT
ejpam-3306	420	1	green	green	PROPN
ejpam-3306	420	2	’s	’s	PART
ejpam-3306	420	3	relations	relation	NOUN
ejpam-3306	420	4	and	and	CCONJ
ejpam-3306	420	5	the	the	DET
ejpam-3306	420	6	relation	relation	NOUN
ejpam-3306	420	7	n	n	CCONJ
ejpam-3306	420	8	in	in	ADP
ejpam-3306	420	9	γ	γ	NOUN
ejpam-3306	420	10	-	-	PUNCT
ejpam-3306	420	11	semigroups	semigroup	NOUN
ejpam-3306	420	12	.	.	PUNCT
ejpam-3306	421	1	quasigroups	quasigroup	NOUN
ejpam-3306	421	2	and	and	CCONJ
ejpam-3306	421	3	related	related	ADJ
ejpam-3306	421	4	systems	system	NOUN
ejpam-3306	421	5	22(1):89–96	22(1):89–96	NUM
ejpam-3306	421	6	,	,	PUNCT
ejpam-3306	421	7	2014	2014	NUM
ejpam-3306	421	8	.	.	PUNCT
ejpam-3306	422	1	[	[	X
ejpam-3306	422	2	4	4	X
ejpam-3306	422	3	]	]	X
ejpam-3306	422	4	n.	n.	NOUN
ejpam-3306	422	5	kehayopulu	kehayopulu	PROPN
ejpam-3306	422	6	.	.	PUNCT
ejpam-3306	423	1	left	leave	VERB
ejpam-3306	423	2	regular	regular	ADJ
ejpam-3306	423	3	and	and	CCONJ
ejpam-3306	423	4	intra	intra	ADJ
ejpam-3306	423	5	-	-	ADJ
ejpam-3306	423	6	regular	regular	ADJ
ejpam-3306	423	7	ordered	order	VERB
ejpam-3306	423	8	hypersemigroups	hypersemigroup	NOUN
ejpam-3306	423	9	in	in	ADP
ejpam-3306	423	10	terms	term	NOUN
ejpam-3306	423	11	of	of	ADP
ejpam-3306	423	12	semiprime	semiprime	NOUN
ejpam-3306	423	13	and	and	CCONJ
ejpam-3306	423	14	fuzzy	fuzzy	ADJ
ejpam-3306	423	15	semiprime	semiprime	NOUN
ejpam-3306	423	16	subsets	subset	NOUN
ejpam-3306	423	17	.	.	PUNCT
ejpam-3306	424	1	sci	sci	PROPN
ejpam-3306	424	2	.	.	PROPN
ejpam-3306	424	3	math	math	PROPN
ejpam-3306	424	4	.	.	PUNCT
ejpam-3306	425	1	jpn	jpn	PROPN
ejpam-3306	425	2	.	.	PUNCT
ejpam-3306	426	1	80(3):295–305	80(3):295–305	PROPN
ejpam-3306	426	2	,	,	PUNCT
ejpam-3306	426	3	2017	2017	NUM
ejpam-3306	426	4	.	.	PUNCT
ejpam-3306	427	1	[	[	X
ejpam-3306	427	2	5	5	X
ejpam-3306	427	3	]	]	PUNCT
ejpam-3306	427	4	n.	n.	NOUN
ejpam-3306	427	5	kehayopulu	kehayopulu	PROPN
ejpam-3306	427	6	.	.	PUNCT
ejpam-3306	428	1	how	how	SCONJ
ejpam-3306	428	2	we	we	PRON
ejpam-3306	428	3	pass	pass	VERB
ejpam-3306	428	4	from	from	ADP
ejpam-3306	428	5	semigroups	semigroup	NOUN
ejpam-3306	428	6	to	to	ADP
ejpam-3306	428	7	hypersemigroups	hypersemigroup	NOUN
ejpam-3306	428	8	.	.	PUNCT
ejpam-3306	429	1	lobachevskii	lobachevskii	PROPN
ejpam-3306	429	2	j.	j.	PROPN
ejpam-3306	429	3	math	math	PROPN
ejpam-3306	429	4	.	.	PUNCT
ejpam-3306	430	1	39(1):121–128	39(1):121–128	NUM
ejpam-3306	430	2	,	,	PUNCT
ejpam-3306	430	3	2018	2018	NUM
ejpam-3306	430	4	.	.	PUNCT
ejpam-3306	431	1	[	[	X
ejpam-3306	431	2	6	6	NUM
ejpam-3306	431	3	]	]	X
ejpam-3306	431	4	n.	n.	NOUN
ejpam-3306	431	5	kehayopulu	kehayopulu	PROPN
ejpam-3306	431	6	.	.	PUNCT
ejpam-3306	432	1	on	on	ADP
ejpam-3306	432	2	ordered	order	VERB
ejpam-3306	432	3	hypersemigroups	hypersemigroup	NOUN
ejpam-3306	432	4	with	with	ADP
ejpam-3306	432	5	idempotent	idempotent	ADJ
ejpam-3306	432	6	ideals	ideal	NOUN
ejpam-3306	432	7	,	,	PUNCT
ejpam-3306	432	8	prime	prime	ADJ
ejpam-3306	432	9	or	or	CCONJ
ejpam-3306	432	10	weakly	weakly	ADJ
ejpam-3306	432	11	prime	prime	ADJ
ejpam-3306	432	12	ideals	ideal	NOUN
ejpam-3306	432	13	.	.	PUNCT
ejpam-3306	433	1	eur	eur	PROPN
ejpam-3306	433	2	.	.	PUNCT
ejpam-3306	434	1	j.	j.	PROPN
ejpam-3306	434	2	pure	pure	PROPN
ejpam-3306	434	3	appl	appl	PROPN
ejpam-3306	434	4	.	.	PUNCT
ejpam-3306	434	5	math	math	NOUN
ejpam-3306	434	6	.	.	PUNCT
ejpam-3306	435	1	11(1):10–22	11(1):10–22	NUM
ejpam-3306	435	2	,	,	PUNCT
ejpam-3306	435	3	2018	2018	NUM
ejpam-3306	435	4	.	.	PUNCT
ejpam-3306	436	1	[	[	X
ejpam-3306	436	2	7	7	X
ejpam-3306	436	3	]	]	X
ejpam-3306	436	4	n.	n.	NOUN
ejpam-3306	436	5	kehayopulu	kehayopulu	PROPN
ejpam-3306	436	6	.	.	PUNCT
ejpam-3306	437	1	on	on	ADP
ejpam-3306	437	2	semilattice	semilattice	NOUN
ejpam-3306	437	3	congruences	congruence	NOUN
ejpam-3306	437	4	on	on	ADP
ejpam-3306	437	5	hypersemigroups	hypersemigroup	NOUN
ejpam-3306	437	6	and	and	CCONJ
ejpam-3306	437	7	on	on	ADP
ejpam-3306	437	8	ordered	order	VERB
ejpam-3306	437	9	hypersemigroups	hypersemigroup	NOUN
ejpam-3306	437	10	.	.	PUNCT
ejpam-3306	438	1	eur	eur	PROPN
ejpam-3306	438	2	.	.	PUNCT
ejpam-3306	439	1	j.	j.	PROPN
ejpam-3306	439	2	pure	pure	PROPN
ejpam-3306	439	3	appl	appl	PROPN
ejpam-3306	439	4	.	.	PUNCT
ejpam-3306	439	5	math	math	NOUN
ejpam-3306	439	6	.	.	PUNCT
ejpam-3306	440	1	11(2):476–492	11(2):476–492	NUM
ejpam-3306	440	2	,	,	PUNCT
ejpam-3306	440	3	2018	2018	NUM
ejpam-3306	440	4	.	.	PUNCT
ejpam-3306	441	1	[	[	X
ejpam-3306	441	2	8	8	NUM
ejpam-3306	441	3	]	]	X
ejpam-3306	441	4	n.	n.	NOUN
ejpam-3306	441	5	kehayopulu	kehayopulu	PROPN
ejpam-3306	441	6	.	.	PUNCT
ejpam-3306	442	1	on	on	ADP
ejpam-3306	442	2	ordered	order	VERB
ejpam-3306	442	3	hypersemigroups	hypersemigroup	NOUN
ejpam-3306	442	4	given	give	VERB
ejpam-3306	442	5	by	by	ADP
ejpam-3306	442	6	a	a	DET
ejpam-3306	442	7	table	table	NOUN
ejpam-3306	442	8	of	of	ADP
ejpam-3306	442	9	multiplication	multiplication	NOUN
ejpam-3306	442	10	and	and	CCONJ
ejpam-3306	442	11	an	an	DET
ejpam-3306	442	12	order	order	NOUN
ejpam-3306	442	13	.	.	PUNCT
ejpam-3306	443	1	turkish	turkish	ADJ
ejpam-3306	443	2	j.	j.	PROPN
ejpam-3306	443	3	math	math	PROPN
ejpam-3306	443	4	.	.	PUNCT
ejpam-3306	444	1	42(4):2045–2060	42(4):2045–2060	NOUN
ejpam-3306	444	2	,	,	PUNCT
ejpam-3306	444	3	2018	2018	NUM
ejpam-3306	444	4	.	.	PUNCT