id	sid	tid	token	lemma	pos
ejpam-3634	1	1	european	european	PROPN
ejpam-3634	1	2	journal	journal	PROPN
ejpam-3634	1	3	of	of	ADP
ejpam-3634	1	4	pure	pure	ADJ
ejpam-3634	1	5	and	and	CCONJ
ejpam-3634	1	6	applied	apply	VERB
ejpam-3634	1	7	mathematics	mathematic	NOUN
ejpam-3634	1	8	vol	vol	NOUN
ejpam-3634	1	9	.	.	PROPN
ejpam-3634	2	1	13	13	NUM
ejpam-3634	2	2	,	,	PUNCT
ejpam-3634	2	3	no	no	INTJ
ejpam-3634	2	4	.	.	NOUN
ejpam-3634	2	5	2	2	NUM
ejpam-3634	2	6	,	,	PUNCT
ejpam-3634	2	7	2020	2020	NUM
ejpam-3634	2	8	,	,	PUNCT
ejpam-3634	2	9	200	200	NUM
ejpam-3634	2	10	-	-	SYM
ejpam-3634	2	11	215	215	NUM
ejpam-3634	2	12	issn	issn	PROPN
ejpam-3634	2	13	1307	1307	NUM
ejpam-3634	2	14	-	-	SYM
ejpam-3634	2	15	5543	5543	NUM
ejpam-3634	2	16	–	–	PUNCT
ejpam-3634	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3634	2	18	published	publish	VERB
ejpam-3634	2	19	by	by	ADP
ejpam-3634	2	20	new	new	PROPN
ejpam-3634	2	21	york	york	PROPN
ejpam-3634	2	22	business	business	PROPN
ejpam-3634	2	23	global	global	ADJ
ejpam-3634	2	24	applications	application	NOUN
ejpam-3634	2	25	of	of	ADP
ejpam-3634	2	26	neutrosophic	neutrosophic	ADJ
ejpam-3634	2	27	n	n	PRON
ejpam-3634	2	28	-structures	-structure	NOUN
ejpam-3634	2	29	in	in	ADP
ejpam-3634	2	30	n	n	CCONJ
ejpam-3634	2	31	-	-	PUNCT
ejpam-3634	2	32	ary	ary	PROPN
ejpam-3634	2	33	groupoids	groupoid	NOUN
ejpam-3634	2	34	amornrat	amornrat	PROPN
ejpam-3634	2	35	rattana1,∗	rattana1,∗	NOUN
ejpam-3634	2	36	,	,	PUNCT
ejpam-3634	2	37	ronnason	ronnason	NOUN
ejpam-3634	2	38	chinram1,2	chinram1,2	PROPN
ejpam-3634	2	39	1	1	NUM
ejpam-3634	2	40	department	department	NOUN
ejpam-3634	2	41	of	of	ADP
ejpam-3634	2	42	mathematics	mathematic	NOUN
ejpam-3634	2	43	and	and	CCONJ
ejpam-3634	2	44	statistics	statistic	NOUN
ejpam-3634	2	45	,	,	PUNCT
ejpam-3634	2	46	faculty	faculty	NOUN
ejpam-3634	2	47	of	of	ADP
ejpam-3634	2	48	science	science	NOUN
ejpam-3634	2	49	,	,	PUNCT
ejpam-3634	2	50	prince	prince	NOUN
ejpam-3634	2	51	of	of	ADP
ejpam-3634	2	52	songkla	songkla	PROPN
ejpam-3634	2	53	university	university	PROPN
ejpam-3634	2	54	,	,	PUNCT
ejpam-3634	2	55	hat	hat	PROPN
ejpam-3634	2	56	yai	yai	PROPN
ejpam-3634	2	57	,	,	PUNCT
ejpam-3634	2	58	songkhla	songkhla	VERB
ejpam-3634	2	59	90110	90110	NUM
ejpam-3634	2	60	,	,	PUNCT
ejpam-3634	2	61	thailand	thailand	PROPN
ejpam-3634	2	62	2	2	NUM
ejpam-3634	2	63	centre	centre	NOUN
ejpam-3634	2	64	of	of	ADP
ejpam-3634	2	65	excellence	excellence	NOUN
ejpam-3634	2	66	in	in	ADP
ejpam-3634	2	67	mathematics	mathematics	PROPN
ejpam-3634	2	68	,	,	PUNCT
ejpam-3634	2	69	che	che	PROPN
ejpam-3634	2	70	,	,	PUNCT
ejpam-3634	2	71	si	si	PROPN
ejpam-3634	2	72	ayuthaya	ayuthaya	PROPN
ejpam-3634	2	73	road	road	PROPN
ejpam-3634	2	74	,	,	PUNCT
ejpam-3634	2	75	bangkok	bangkok	PROPN
ejpam-3634	2	76	10400	10400	NUM
ejpam-3634	2	77	,	,	PUNCT
ejpam-3634	2	78	thailand	thailand	PROPN
ejpam-3634	2	79	abstract	abstract	PROPN
ejpam-3634	2	80	.	.	PUNCT
ejpam-3634	3	1	this	this	DET
ejpam-3634	3	2	paper	paper	NOUN
ejpam-3634	3	3	includes	include	VERB
ejpam-3634	3	4	the	the	DET
ejpam-3634	3	5	notions	notion	NOUN
ejpam-3634	3	6	of	of	ADP
ejpam-3634	3	7	neutrosophic	neutrosophic	ADJ
ejpam-3634	3	8	n	n	CCONJ
ejpam-3634	3	9	-	-	PUNCT
ejpam-3634	3	10	aryn	aryn	PROPN
ejpam-3634	3	11	-subgroupoids	-subgroupoid	NOUN
ejpam-3634	3	12	of	of	ADP
ejpam-3634	3	13	n	n	CCONJ
ejpam-3634	3	14	-	-	PUNCT
ejpam-3634	3	15	ary	ary	NOUN
ejpam-3634	3	16	groupoids	groupoid	NOUN
ejpam-3634	3	17	and	and	CCONJ
ejpam-3634	3	18	some	some	DET
ejpam-3634	3	19	properties	property	NOUN
ejpam-3634	3	20	.	.	PUNCT
ejpam-3634	4	1	2020	2020	NUM
ejpam-3634	4	2	mathematics	mathematic	NOUN
ejpam-3634	4	3	subject	subject	NOUN
ejpam-3634	4	4	classifications	classification	NOUN
ejpam-3634	4	5	:	:	PUNCT
ejpam-3634	4	6	20n15	20n15	NUM
ejpam-3634	4	7	,	,	PUNCT
ejpam-3634	4	8	03b80	03b80	VERB
ejpam-3634	4	9	key	key	ADJ
ejpam-3634	4	10	words	word	NOUN
ejpam-3634	4	11	and	and	CCONJ
ejpam-3634	4	12	phrases	phrase	NOUN
ejpam-3634	4	13	:	:	PUNCT
ejpam-3634	4	14	neutrosophic	neutrosophic	ADJ
ejpam-3634	4	15	n	n	PRON
ejpam-3634	4	16	-structures	-structure	NOUN
ejpam-3634	4	17	,	,	PUNCT
ejpam-3634	4	18	n	n	CCONJ
ejpam-3634	4	19	-	-	PUNCT
ejpam-3634	4	20	ary	ary	PROPN
ejpam-3634	4	21	groupoids	groupoid	NOUN
ejpam-3634	4	22	,	,	PUNCT
ejpam-3634	4	23	neutrosophic	neutrosophic	ADJ
ejpam-3634	4	24	n	n	CCONJ
ejpam-3634	4	25	-	-	PUNCT
ejpam-3634	4	26	ary	ary	PROPN
ejpam-3634	5	1	n	n	PROPN
ejpam-3634	5	2	subgroupoids	subgroupoid	NOUN
ejpam-3634	5	3	,	,	PUNCT
ejpam-3634	5	4	ε	ε	PROPN
ejpam-3634	5	5	-	-	PUNCT
ejpam-3634	5	6	neutrosophic	neutrosophic	ADJ
ejpam-3634	5	7	n	n	CCONJ
ejpam-3634	5	8	-	-	PUNCT
ejpam-3634	5	9	ary	ary	NOUN
ejpam-3634	5	10	n	n	PRON
ejpam-3634	5	11	-subgroupoids	-subgroupoid	NOUN
ejpam-3634	5	12	.	.	PUNCT
ejpam-3634	6	1	1	1	NUM
ejpam-3634	6	2	.	.	X
ejpam-3634	6	3	introduction	introduction	NOUN
ejpam-3634	6	4	in	in	ADP
ejpam-3634	6	5	1965	1965	NUM
ejpam-3634	6	6	,	,	PUNCT
ejpam-3634	6	7	the	the	DET
ejpam-3634	6	8	degree	degree	NOUN
ejpam-3634	6	9	of	of	ADP
ejpam-3634	6	10	membership	membership	NOUN
ejpam-3634	6	11	/	/	SYM
ejpam-3634	6	12	truth	truth	NOUN
ejpam-3634	6	13	(	(	PUNCT
ejpam-3634	6	14	t	t	NOUN
ejpam-3634	6	15	)	)	PUNCT
ejpam-3634	6	16	and	and	CCONJ
ejpam-3634	6	17	the	the	DET
ejpam-3634	6	18	fuzzy	fuzzy	ADJ
ejpam-3634	6	19	set	set	NOUN
ejpam-3634	6	20	were	be	AUX
ejpam-3634	6	21	introduced	introduce	VERB
ejpam-3634	6	22	by	by	ADP
ejpam-3634	6	23	zadeh	zadeh	PROPN
ejpam-3634	7	1	[	[	X
ejpam-3634	7	2	12	12	NUM
ejpam-3634	7	3	]	]	PUNCT
ejpam-3634	7	4	.	.	PUNCT
ejpam-3634	8	1	atanassov	atanassov	PROPN
ejpam-3634	9	1	[	[	X
ejpam-3634	9	2	1	1	X
ejpam-3634	9	3	]	]	PUNCT
ejpam-3634	9	4	introduced	introduce	VERB
ejpam-3634	9	5	the	the	DET
ejpam-3634	9	6	degree	degree	NOUN
ejpam-3634	9	7	of	of	ADP
ejpam-3634	9	8	nonmembership	nonmembership	NOUN
ejpam-3634	9	9	/	/	SYM
ejpam-3634	9	10	falsehood	falsehood	NOUN
ejpam-3634	9	11	(	(	PUNCT
ejpam-3634	9	12	f	f	X
ejpam-3634	9	13	)	)	PUNCT
ejpam-3634	9	14	and	and	CCONJ
ejpam-3634	9	15	defined	define	VERB
ejpam-3634	9	16	the	the	DET
ejpam-3634	9	17	intuitionistic	intuitionistic	ADJ
ejpam-3634	9	18	fuzzy	fuzzy	ADJ
ejpam-3634	9	19	set	set	NOUN
ejpam-3634	9	20	in	in	ADP
ejpam-3634	9	21	1986	1986	NUM
ejpam-3634	9	22	.	.	PUNCT
ejpam-3634	10	1	neutrosophy	neutrosophy	NOUN
ejpam-3634	10	2	,	,	PUNCT
ejpam-3634	10	3	means	mean	VERB
ejpam-3634	10	4	knowledge	knowledge	NOUN
ejpam-3634	10	5	of	of	ADP
ejpam-3634	10	6	neutral	neutral	ADJ
ejpam-3634	10	7	,	,	PUNCT
ejpam-3634	10	8	is	be	AUX
ejpam-3634	10	9	a	a	DET
ejpam-3634	10	10	branch	branch	NOUN
ejpam-3634	10	11	of	of	ADP
ejpam-3634	10	12	philosophy	philosophy	NOUN
ejpam-3634	10	13	introduced	introduce	VERB
ejpam-3634	10	14	as	as	ADP
ejpam-3634	10	15	a	a	DET
ejpam-3634	10	16	theory	theory	NOUN
ejpam-3634	10	17	of	of	ADP
ejpam-3634	10	18	generalization	generalization	NOUN
ejpam-3634	10	19	of	of	ADP
ejpam-3634	10	20	dialectic	dialectic	NOUN
ejpam-3634	10	21	in	in	ADP
ejpam-3634	10	22	1995	1995	NUM
ejpam-3634	10	23	by	by	ADP
ejpam-3634	10	24	smarandache	smarandache	NOUN
ejpam-3634	10	25	.	.	PUNCT
ejpam-3634	11	1	he	he	PRON
ejpam-3634	11	2	proposed	propose	VERB
ejpam-3634	11	3	the	the	DET
ejpam-3634	11	4	term	term	NOUN
ejpam-3634	11	5	neutrosophic	neutrosophic	ADJ
ejpam-3634	11	6	because	because	SCONJ
ejpam-3634	11	7	neutrosophic	neutrosophic	ADJ
ejpam-3634	11	8	originally	originally	ADV
ejpam-3634	11	9	comes	come	VERB
ejpam-3634	11	10	from	from	ADP
ejpam-3634	11	11	neutrosophy	neutrosophy	NOUN
ejpam-3634	11	12	.	.	PUNCT
ejpam-3634	12	1	in	in	ADP
ejpam-3634	12	2	1999	1999	NUM
ejpam-3634	12	3	,	,	PUNCT
ejpam-3634	12	4	he	he	PRON
ejpam-3634	12	5	introduced	introduce	VERB
ejpam-3634	12	6	the	the	DET
ejpam-3634	12	7	concept	concept	NOUN
ejpam-3634	12	8	of	of	ADP
ejpam-3634	12	9	neutrosophic	neutrosophic	ADJ
ejpam-3634	12	10	logics	logic	NOUN
ejpam-3634	12	11	[	[	X
ejpam-3634	12	12	9	9	NUM
ejpam-3634	12	13	]	]	PUNCT
ejpam-3634	12	14	and	and	CCONJ
ejpam-3634	12	15	introduced	introduce	VERB
ejpam-3634	12	16	the	the	DET
ejpam-3634	12	17	degree	degree	NOUN
ejpam-3634	12	18	of	of	ADP
ejpam-3634	12	19	indeterminancy	indeterminancy	NOUN
ejpam-3634	12	20	/	/	SYM
ejpam-3634	12	21	neuterality	neuterality	NOUN
ejpam-3634	12	22	(	(	PUNCT
ejpam-3634	12	23	i	i	NOUN
ejpam-3634	12	24	)	)	PUNCT
ejpam-3634	12	25	and	and	CCONJ
ejpam-3634	12	26	proposed	propose	VERB
ejpam-3634	12	27	the	the	DET
ejpam-3634	12	28	neutrosophic	neutrosophic	ADJ
ejpam-3634	12	29	set	set	NOUN
ejpam-3634	12	30	on	on	ADP
ejpam-3634	12	31	three	three	NUM
ejpam-3634	12	32	components	component	NOUN
ejpam-3634	12	33	(	(	PUNCT
ejpam-3634	12	34	t	t	PROPN
ejpam-3634	12	35	,	,	PUNCT
ejpam-3634	12	36	i	i	PRON
ejpam-3634	12	37	,	,	PUNCT
ejpam-3634	12	38	f	f	X
ejpam-3634	12	39	)	)	PUNCT
ejpam-3634	12	40	=(	=(	ADJ
ejpam-3634	12	41	truth	truth	NOUN
ejpam-3634	12	42	,	,	PUNCT
ejpam-3634	12	43	indeterminacy	indeterminacy	NOUN
ejpam-3634	12	44	,	,	PUNCT
ejpam-3634	12	45	falsehood	falsehood	NOUN
ejpam-3634	12	46	)	)	PUNCT
ejpam-3634	12	47	.	.	PUNCT
ejpam-3634	13	1	jun	jun	PROPN
ejpam-3634	13	2	et	et	PROPN
ejpam-3634	13	3	al	al	PROPN
ejpam-3634	13	4	.	.	PUNCT
ejpam-3634	14	1	[	[	X
ejpam-3634	14	2	11	11	NUM
ejpam-3634	14	3	]	]	PUNCT
ejpam-3634	14	4	introduced	introduce	VERB
ejpam-3634	14	5	a	a	DET
ejpam-3634	14	6	negative	negative	ADV
ejpam-3634	14	7	-	-	PUNCT
ejpam-3634	14	8	valued	value	VERB
ejpam-3634	14	9	function	function	NOUN
ejpam-3634	14	10	and	and	CCONJ
ejpam-3634	14	11	defined	define	VERB
ejpam-3634	14	12	n	n	PRON
ejpam-3634	14	13	-structures	-structure	NOUN
ejpam-3634	14	14	in	in	ADP
ejpam-3634	14	15	2009	2009	NUM
ejpam-3634	14	16	.	.	PUNCT
ejpam-3634	15	1	khan	khan	PROPN
ejpam-3634	15	2	et	et	PROPN
ejpam-3634	15	3	al	al	PROPN
ejpam-3634	15	4	.	.	PUNCT
ejpam-3634	16	1	[	[	X
ejpam-3634	16	2	4	4	NUM
ejpam-3634	16	3	]	]	PUNCT
ejpam-3634	16	4	investigated	investigate	VERB
ejpam-3634	16	5	the	the	DET
ejpam-3634	16	6	notion	notion	NOUN
ejpam-3634	16	7	of	of	ADP
ejpam-3634	16	8	neutrosophic	neutrosophic	ADJ
ejpam-3634	16	9	n	n	PRON
ejpam-3634	16	10	-structures	-structure	NOUN
ejpam-3634	16	11	and	and	CCONJ
ejpam-3634	16	12	their	their	PRON
ejpam-3634	16	13	applications	application	NOUN
ejpam-3634	16	14	in	in	ADP
ejpam-3634	16	15	semigroups	semigroup	NOUN
ejpam-3634	16	16	in	in	ADP
ejpam-3634	16	17	2017	2017	NUM
ejpam-3634	16	18	.	.	PUNCT
ejpam-3634	17	1	jun	jun	PROPN
ejpam-3634	17	2	et	et	PROPN
ejpam-3634	17	3	al	al	PROPN
ejpam-3634	17	4	.	.	PUNCT
ejpam-3634	18	1	[	[	X
ejpam-3634	18	2	10	10	NUM
ejpam-3634	18	3	,	,	PUNCT
ejpam-3634	18	4	11	11	NUM
ejpam-3634	18	5	]	]	PUNCT
ejpam-3634	18	6	considered	consider	VERB
ejpam-3634	18	7	neutrosophic	neutrosophic	ADJ
ejpam-3634	18	8	n	n	DET
ejpam-3634	18	9	-structures	-structure	NOUN
ejpam-3634	18	10	applied	apply	VERB
ejpam-3634	18	11	to	to	PART
ejpam-3634	18	12	bck	bck	VERB
ejpam-3634	18	13	/	/	SYM
ejpam-3634	18	14	bci	bci	NOUN
ejpam-3634	18	15	-	-	PUNCT
ejpam-3634	18	16	algebras	algebras	PROPN
ejpam-3634	18	17	.	.	PUNCT
ejpam-3634	19	1	song	song	PROPN
ejpam-3634	19	2	et	et	PROPN
ejpam-3634	19	3	al	al	PROPN
ejpam-3634	19	4	.	.	PUNCT
ejpam-3634	20	1	[	[	X
ejpam-3634	20	2	8	8	NUM
ejpam-3634	20	3	]	]	PUNCT
ejpam-3634	20	4	proposed	propose	VERB
ejpam-3634	20	5	neutrosophic	neutrosophic	PROPN
ejpam-3634	20	6	commutative	commutative	ADJ
ejpam-3634	20	7	n	n	PRON
ejpam-3634	20	8	-ideals	-ideal	NOUN
ejpam-3634	20	9	in	in	ADP
ejpam-3634	20	10	bck	bck	NOUN
ejpam-3634	20	11	-	-	PUNCT
ejpam-3634	20	12	algebras	algebras	PROPN
ejpam-3634	20	13	in	in	ADP
ejpam-3634	20	14	2017	2017	NUM
ejpam-3634	20	15	.	.	PUNCT
ejpam-3634	21	1	rangsuk	rangsuk	NOUN
ejpam-3634	21	2	et	et	PROPN
ejpam-3634	21	3	al	al	PROPN
ejpam-3634	21	4	.	.	PUNCT
ejpam-3634	22	1	[	[	X
ejpam-3634	22	2	6	6	NUM
ejpam-3634	22	3	]	]	PUNCT
ejpam-3634	22	4	discussed	discuss	VERB
ejpam-3634	22	5	neutrosophic	neutrosophic	ADJ
ejpam-3634	22	6	n	n	PRON
ejpam-3634	22	7	-structures	-structure	NOUN
ejpam-3634	22	8	and	and	CCONJ
ejpam-3634	22	9	their	their	PRON
ejpam-3634	22	10	applications	application	NOUN
ejpam-3634	22	11	in	in	ADP
ejpam-3634	22	12	up	up	ADP
ejpam-3634	22	13	-	-	PUNCT
ejpam-3634	22	14	algebras	algebras	X
ejpam-3634	22	15	.	.	PUNCT
ejpam-3634	23	1	∗corresponding	∗corresponde	VERB
ejpam-3634	23	2	author	author	NOUN
ejpam-3634	23	3	.	.	PUNCT
ejpam-3634	24	1	doi	doi	NOUN
ejpam-3634	24	2	:	:	PUNCT
ejpam-3634	24	3	https://doi.org/10.29020/nybg.ejpam.v13i2.3634	https://doi.org/10.29020/nybg.ejpam.v13i2.3634	PROPN
ejpam-3634	24	4	email	email	NOUN
ejpam-3634	24	5	addresses	address	NOUN
ejpam-3634	24	6	:	:	PUNCT
ejpam-3634	24	7	amornrat.r@psu.ac.th	amornrat.r@psu.ac.th	INTJ
ejpam-3634	24	8	(	(	PUNCT
ejpam-3634	24	9	a.	a.	NOUN
ejpam-3634	24	10	rattana	rattana	PROPN
ejpam-3634	24	11	)	)	PUNCT
ejpam-3634	24	12	,	,	PUNCT
ejpam-3634	24	13	ronnason.c@psu.ac.th	ronnason.c@psu.ac.th	PROPN
ejpam-3634	24	14	(	(	PUNCT
ejpam-3634	24	15	r.	r.	PROPN
ejpam-3634	24	16	chinram	chinram	PROPN
ejpam-3634	24	17	)	)	PUNCT
ejpam-3634	24	18	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3634	25	1	200	200	NUM
ejpam-3634	25	2	c	c	NOUN
ejpam-3634	25	3	©	©	PROPN
ejpam-3634	25	4	2020	2020	NUM
ejpam-3634	25	5	ejpam	ejpam	VERB
ejpam-3634	25	6	all	all	DET
ejpam-3634	25	7	rights	right	NOUN
ejpam-3634	25	8	reserved	reserve	VERB
ejpam-3634	25	9	.	.	PUNCT
ejpam-3634	26	1	a.	a.	PROPN
ejpam-3634	26	2	rattana	rattana	PROPN
ejpam-3634	26	3	,	,	PUNCT
ejpam-3634	26	4	r.	r.	PROPN
ejpam-3634	26	5	chinram	chinram	PROPN
ejpam-3634	26	6	/	/	SYM
ejpam-3634	26	7	eur	eur	PROPN
ejpam-3634	26	8	.	.	PUNCT
ejpam-3634	27	1	j.	j.	PROPN
ejpam-3634	27	2	pure	pure	PROPN
ejpam-3634	27	3	appl	appl	PROPN
ejpam-3634	27	4	.	.	PROPN
ejpam-3634	27	5	math	math	PROPN
ejpam-3634	27	6	,	,	PUNCT
ejpam-3634	27	7	13	13	NUM
ejpam-3634	27	8	(	(	PUNCT
ejpam-3634	27	9	2	2	NUM
ejpam-3634	27	10	)	)	PUNCT
ejpam-3634	27	11	(	(	PUNCT
ejpam-3634	27	12	2020	2020	NUM
ejpam-3634	27	13	)	)	PUNCT
ejpam-3634	27	14	,	,	PUNCT
ejpam-3634	27	15	200	200	NUM
ejpam-3634	27	16	-	-	SYM
ejpam-3634	27	17	215	215	NUM
ejpam-3634	27	18	201	201	NUM
ejpam-3634	27	19	algebraic	algebraic	ADJ
ejpam-3634	27	20	systems	system	NOUN
ejpam-3634	27	21	with	with	ADP
ejpam-3634	27	22	one	one	NUM
ejpam-3634	27	23	n	n	CCONJ
ejpam-3634	27	24	-	-	PUNCT
ejpam-3634	27	25	ary	ary	PROPN
ejpam-3634	27	26	operation	operation	NOUN
ejpam-3634	27	27	,	,	PUNCT
ejpam-3634	27	28	for	for	ADP
ejpam-3634	27	29	n	n	PROPN
ejpam-3634	27	30	>	>	X
ejpam-3634	27	31	2	2	NUM
ejpam-3634	27	32	,	,	PUNCT
ejpam-3634	27	33	have	have	AUX
ejpam-3634	27	34	been	be	AUX
ejpam-3634	27	35	widely	widely	ADV
ejpam-3634	27	36	investigated	investigate	VERB
ejpam-3634	27	37	(	(	PUNCT
ejpam-3634	27	38	see	see	VERB
ejpam-3634	27	39	,	,	PUNCT
ejpam-3634	27	40	e.g.	e.g.	ADV
ejpam-3634	27	41	,	,	PUNCT
ejpam-3634	27	42	[	[	X
ejpam-3634	27	43	2	2	NUM
ejpam-3634	27	44	,	,	PUNCT
ejpam-3634	27	45	3	3	NUM
ejpam-3634	27	46	,	,	PUNCT
ejpam-3634	27	47	5	5	NUM
ejpam-3634	27	48	,	,	PUNCT
ejpam-3634	27	49	7	7	NUM
ejpam-3634	27	50	]	]	NUM
ejpam-3634	27	51	)	)	PUNCT
ejpam-3634	27	52	.	.	PUNCT
ejpam-3634	28	1	algebraic	algebraic	PROPN
ejpam-3634	28	2	n	n	CCONJ
ejpam-3634	28	3	-	-	PUNCT
ejpam-3634	28	4	ary	ary	PROPN
ejpam-3634	28	5	systems	system	NOUN
ejpam-3634	28	6	have	have	AUX
ejpam-3634	28	7	been	be	AUX
ejpam-3634	28	8	applied	apply	VERB
ejpam-3634	28	9	in	in	ADP
ejpam-3634	28	10	several	several	ADJ
ejpam-3634	28	11	fields	field	NOUN
ejpam-3634	28	12	of	of	ADP
ejpam-3634	28	13	mathematics	mathematic	NOUN
ejpam-3634	28	14	.	.	PUNCT
ejpam-3634	29	1	the	the	DET
ejpam-3634	29	2	purpose	purpose	NOUN
ejpam-3634	29	3	of	of	ADP
ejpam-3634	29	4	this	this	DET
ejpam-3634	29	5	paper	paper	NOUN
ejpam-3634	29	6	is	be	AUX
ejpam-3634	29	7	to	to	PART
ejpam-3634	29	8	investigate	investigate	VERB
ejpam-3634	29	9	the	the	DET
ejpam-3634	29	10	extension	extension	NOUN
ejpam-3634	29	11	of	of	ADP
ejpam-3634	29	12	neutrosophic	neutrosophic	ADJ
ejpam-3634	29	13	n	n	PRON
ejpam-3634	29	14	-structures	-structure	NOUN
ejpam-3634	29	15	in	in	ADP
ejpam-3634	29	16	semigroups	semigroup	NOUN
ejpam-3634	29	17	[	[	X
ejpam-3634	29	18	4	4	NUM
ejpam-3634	29	19	]	]	PUNCT
ejpam-3634	29	20	to	to	ADP
ejpam-3634	29	21	n	n	CCONJ
ejpam-3634	29	22	-	-	PUNCT
ejpam-3634	29	23	ary	ary	PROPN
ejpam-3634	29	24	groupoids	groupoid	NOUN
ejpam-3634	29	25	.	.	PUNCT
ejpam-3634	30	1	some	some	DET
ejpam-3634	30	2	basic	basic	ADJ
ejpam-3634	30	3	notations	notation	NOUN
ejpam-3634	30	4	and	and	CCONJ
ejpam-3634	30	5	definitions	definition	NOUN
ejpam-3634	30	6	will	will	AUX
ejpam-3634	30	7	be	be	AUX
ejpam-3634	30	8	presented	present	VERB
ejpam-3634	30	9	in	in	ADP
ejpam-3634	30	10	section	section	NOUN
ejpam-3634	30	11	2	2	NUM
ejpam-3634	30	12	.	.	PUNCT
ejpam-3634	31	1	in	in	ADP
ejpam-3634	31	2	section	section	NOUN
ejpam-3634	31	3	3	3	NUM
ejpam-3634	31	4	,	,	PUNCT
ejpam-3634	31	5	we	we	PRON
ejpam-3634	31	6	extend	extend	VERB
ejpam-3634	31	7	the	the	DET
ejpam-3634	31	8	results	result	NOUN
ejpam-3634	31	9	of	of	ADP
ejpam-3634	31	10	neutrosophic	neutrosophic	ADJ
ejpam-3634	31	11	n	n	PRON
ejpam-3634	31	12	-structures	-structure	NOUN
ejpam-3634	31	13	and	and	CCONJ
ejpam-3634	31	14	their	their	PRON
ejpam-3634	31	15	applications	application	NOUN
ejpam-3634	31	16	in	in	ADP
ejpam-3634	31	17	semigroups	semigroup	NOUN
ejpam-3634	31	18	to	to	ADP
ejpam-3634	31	19	n	n	CCONJ
ejpam-3634	31	20	-	-	PUNCT
ejpam-3634	31	21	ary	ary	PROPN
ejpam-3634	31	22	groupoids	groupoid	NOUN
ejpam-3634	31	23	.	.	PUNCT
ejpam-3634	32	1	section	section	NOUN
ejpam-3634	32	2	4	4	NUM
ejpam-3634	32	3	contains	contain	VERB
ejpam-3634	32	4	a	a	DET
ejpam-3634	32	5	brief	brief	ADJ
ejpam-3634	32	6	summary	summary	NOUN
ejpam-3634	32	7	of	of	ADP
ejpam-3634	32	8	this	this	DET
ejpam-3634	32	9	paper	paper	NOUN
ejpam-3634	32	10	.	.	PUNCT
ejpam-3634	33	1	2	2	X
ejpam-3634	33	2	.	.	X
ejpam-3634	33	3	preliminaries	preliminary	NOUN
ejpam-3634	33	4	the	the	DET
ejpam-3634	33	5	aim	aim	NOUN
ejpam-3634	33	6	of	of	ADP
ejpam-3634	33	7	this	this	DET
ejpam-3634	33	8	section	section	NOUN
ejpam-3634	33	9	is	be	AUX
ejpam-3634	33	10	to	to	PART
ejpam-3634	33	11	review	review	VERB
ejpam-3634	33	12	some	some	DET
ejpam-3634	33	13	notations	notation	NOUN
ejpam-3634	33	14	and	and	CCONJ
ejpam-3634	33	15	definitions	definition	NOUN
ejpam-3634	33	16	of	of	ADP
ejpam-3634	33	17	n	n	CCONJ
ejpam-3634	33	18	-	-	PUNCT
ejpam-3634	33	19	ary	ary	NOUN
ejpam-3634	33	20	groupoids	groupoid	NOUN
ejpam-3634	33	21	and	and	CCONJ
ejpam-3634	33	22	neutrosophic	neutrosophic	ADJ
ejpam-3634	33	23	n	n	PRON
ejpam-3634	33	24	-structures	-structure	NOUN
ejpam-3634	33	25	which	which	PRON
ejpam-3634	33	26	can	can	AUX
ejpam-3634	33	27	be	be	AUX
ejpam-3634	33	28	also	also	ADV
ejpam-3634	33	29	found	find	VERB
ejpam-3634	33	30	in	in	ADP
ejpam-3634	33	31	[	[	X
ejpam-3634	33	32	2–4	2–4	NUM
ejpam-3634	33	33	]	]	X
ejpam-3634	33	34	.	.	PUNCT
ejpam-3634	34	1	2.1	2.1	NUM
ejpam-3634	34	2	.	.	PUNCT
ejpam-3634	34	3	n	n	CCONJ
ejpam-3634	34	4	-	-	PUNCT
ejpam-3634	34	5	ary	ary	PROPN
ejpam-3634	34	6	groupoids	groupoids	PROPN
ejpam-3634	34	7	definition	definition	NOUN
ejpam-3634	34	8	1	1	NUM
ejpam-3634	34	9	.	.	PUNCT
ejpam-3634	35	1	let	let	VERB
ejpam-3634	35	2	s	s	PRON
ejpam-3634	35	3	be	be	AUX
ejpam-3634	35	4	a	a	DET
ejpam-3634	35	5	nonempty	nonempty	ADJ
ejpam-3634	35	6	set	set	VERB
ejpam-3634	35	7	.	.	PUNCT
ejpam-3634	36	1	the	the	DET
ejpam-3634	36	2	set	set	NOUN
ejpam-3634	36	3	s	s	VERB
ejpam-3634	36	4	together	together	ADV
ejpam-3634	36	5	with	with	ADP
ejpam-3634	36	6	an	an	DET
ejpam-3634	36	7	n	n	CCONJ
ejpam-3634	36	8	-	-	PUNCT
ejpam-3634	36	9	ary	ary	PROPN
ejpam-3634	36	10	operation	operation	NOUN
ejpam-3634	36	11	f	f	PROPN
ejpam-3634	36	12	:	:	PUNCT
ejpam-3634	36	13	sn	sn	PROPN
ejpam-3634	36	14	→	→	SYM
ejpam-3634	36	15	s	s	PROPN
ejpam-3634	36	16	,	,	PUNCT
ejpam-3634	36	17	where	where	SCONJ
ejpam-3634	36	18	n	n	PRON
ejpam-3634	36	19	≥	≥	NOUN
ejpam-3634	36	20	2	2	NUM
ejpam-3634	36	21	,	,	PUNCT
ejpam-3634	36	22	is	be	AUX
ejpam-3634	36	23	called	call	VERB
ejpam-3634	36	24	an	an	DET
ejpam-3634	36	25	n	n	CCONJ
ejpam-3634	36	26	-	-	PUNCT
ejpam-3634	36	27	ary	ary	NOUN
ejpam-3634	36	28	groupoid	groupoid	PROPN
ejpam-3634	36	29	and	and	CCONJ
ejpam-3634	36	30	is	be	AUX
ejpam-3634	36	31	denoted	denote	VERB
ejpam-3634	36	32	by	by	ADP
ejpam-3634	36	33	(	(	PUNCT
ejpam-3634	36	34	s	s	PROPN
ejpam-3634	36	35	,	,	PUNCT
ejpam-3634	36	36	f	f	NOUN
ejpam-3634	36	37	)	)	PUNCT
ejpam-3634	36	38	.	.	PUNCT
ejpam-3634	37	1	according	accord	VERB
ejpam-3634	37	2	to	to	ADP
ejpam-3634	37	3	the	the	DET
ejpam-3634	37	4	general	general	ADJ
ejpam-3634	37	5	convention	convention	NOUN
ejpam-3634	37	6	used	use	VERB
ejpam-3634	37	7	in	in	ADP
ejpam-3634	37	8	the	the	DET
ejpam-3634	37	9	theory	theory	NOUN
ejpam-3634	37	10	of	of	ADP
ejpam-3634	37	11	n	n	CCONJ
ejpam-3634	37	12	-	-	PUNCT
ejpam-3634	37	13	ary	ary	PROPN
ejpam-3634	37	14	groupoids	groupoid	NOUN
ejpam-3634	37	15	,	,	PUNCT
ejpam-3634	37	16	the	the	DET
ejpam-3634	37	17	sequence	sequence	NOUN
ejpam-3634	37	18	of	of	ADP
ejpam-3634	37	19	elements	element	NOUN
ejpam-3634	37	20	xi	xi	PROPN
ejpam-3634	37	21	,	,	PUNCT
ejpam-3634	37	22	xi+1	xi+1	PROPN
ejpam-3634	37	23	,	,	PUNCT
ejpam-3634	37	24	.	.	PUNCT
ejpam-3634	37	25	.	.	PUNCT
ejpam-3634	37	26	.	.	PUNCT
ejpam-3634	38	1	,	,	PUNCT
ejpam-3634	38	2	xj	xj	PROPN
ejpam-3634	38	3	is	be	AUX
ejpam-3634	38	4	denoted	denote	VERB
ejpam-3634	38	5	by	by	ADP
ejpam-3634	38	6	xji	xji	PROPN
ejpam-3634	38	7	.	.	PUNCT
ejpam-3634	39	1	in	in	ADP
ejpam-3634	39	2	the	the	DET
ejpam-3634	39	3	case	case	NOUN
ejpam-3634	39	4	j	j	X
ejpam-3634	39	5	<	<	X
ejpam-3634	39	6	i	i	X
ejpam-3634	39	7	,	,	PUNCT
ejpam-3634	39	8	it	it	PRON
ejpam-3634	39	9	is	be	AUX
ejpam-3634	39	10	the	the	DET
ejpam-3634	39	11	empty	empty	ADJ
ejpam-3634	39	12	symbol	symbol	NOUN
ejpam-3634	39	13	.	.	PUNCT
ejpam-3634	40	1	if	if	SCONJ
ejpam-3634	40	2	xi+1	xi+1	NUM
ejpam-3634	40	3	=	=	PUNCT
ejpam-3634	40	4	xi+2	xi+2	PROPN
ejpam-3634	41	1	=	=	PUNCT
ejpam-3634	41	2	.	.	PUNCT
ejpam-3634	41	3	.	.	PUNCT
ejpam-3634	41	4	.	.	PUNCT
ejpam-3634	42	1	=	=	PUNCT
ejpam-3634	42	2	xi+t	xi+t	PUNCT
ejpam-3634	43	1	=	=	PUNCT
ejpam-3634	43	2	x	x	X
ejpam-3634	43	3	,	,	PUNCT
ejpam-3634	43	4	then	then	ADV
ejpam-3634	43	5	we	we	PRON
ejpam-3634	43	6	write	write	VERB
ejpam-3634	43	7	x(t	x(t	PROPN
ejpam-3634	43	8	)	)	PUNCT
ejpam-3634	43	9	instead	instead	ADV
ejpam-3634	43	10	of	of	ADP
ejpam-3634	43	11	xi+ti+1	xi+ti+1	PROPN
ejpam-3634	43	12	.	.	PROPN
ejpam-3634	44	1	in	in	ADP
ejpam-3634	44	2	this	this	DET
ejpam-3634	44	3	convention	convention	NOUN
ejpam-3634	44	4	,	,	PUNCT
ejpam-3634	44	5	f(x1	f(x1	NOUN
ejpam-3634	44	6	,	,	PUNCT
ejpam-3634	44	7	x2	x2	PROPN
ejpam-3634	44	8	,	,	PUNCT
ejpam-3634	44	9	.	.	PUNCT
ejpam-3634	44	10	.	.	PUNCT
ejpam-3634	44	11	.	.	PUNCT
ejpam-3634	45	1	,	,	PUNCT
ejpam-3634	45	2	xn	xn	X
ejpam-3634	45	3	)	)	PUNCT
ejpam-3634	45	4	=	=	SYM
ejpam-3634	45	5	f(xn1	f(xn1	PROPN
ejpam-3634	45	6	)	)	PUNCT
ejpam-3634	45	7	,	,	PUNCT
ejpam-3634	45	8	and	and	CCONJ
ejpam-3634	45	9	f(x1	f(x1	ADJ
ejpam-3634	45	10	,	,	PUNCT
ejpam-3634	45	11	.	.	PUNCT
ejpam-3634	45	12	.	.	PUNCT
ejpam-3634	45	13	.	.	PUNCT
ejpam-3634	46	1	,	,	PUNCT
ejpam-3634	46	2	xi	xi	X
ejpam-3634	46	3	,	,	PUNCT
ejpam-3634	46	4	x	x	NOUN
ejpam-3634	46	5	,	,	PUNCT
ejpam-3634	46	6	.	.	PUNCT
ejpam-3634	46	7	.	.	PUNCT
ejpam-3634	46	8	.	.	PUNCT
ejpam-3634	47	1	,	,	PUNCT
ejpam-3634	47	2	x︸	x︸	VERB
ejpam-3634	47	3	︷︷	︷︷	PROPN
ejpam-3634	47	4	︸	︸	PRON
ejpam-3634	47	5	t	t	PROPN
ejpam-3634	47	6	,	,	PUNCT
ejpam-3634	47	7	xi+t+1	xi+t+1	X
ejpam-3634	47	8	,	,	PUNCT
ejpam-3634	47	9	.	.	PUNCT
ejpam-3634	47	10	.	.	PUNCT
ejpam-3634	48	1	.	.	PUNCT
ejpam-3634	49	1	,	,	PUNCT
ejpam-3634	49	2	xn	xn	X
ejpam-3634	49	3	)	)	PUNCT
ejpam-3634	49	4	=	=	SYM
ejpam-3634	49	5	f(xi1	f(xi1	NOUN
ejpam-3634	49	6	,	,	PUNCT
ejpam-3634	49	7	x	x	X
ejpam-3634	49	8	(	(	PUNCT
ejpam-3634	49	9	t	t	PROPN
ejpam-3634	49	10	)	)	PUNCT
ejpam-3634	49	11	,	,	PUNCT
ejpam-3634	49	12	xni+t+1	xni+t+1	PROPN
ejpam-3634	49	13	)	)	PUNCT
ejpam-3634	49	14	.	.	PUNCT
ejpam-3634	50	1	definition	definition	NOUN
ejpam-3634	50	2	2	2	NUM
ejpam-3634	50	3	.	.	PUNCT
ejpam-3634	51	1	a	a	DET
ejpam-3634	51	2	nonempty	nonempty	NOUN
ejpam-3634	51	3	subset	subset	VERB
ejpam-3634	51	4	t	t	NOUN
ejpam-3634	51	5	of	of	ADP
ejpam-3634	51	6	an	an	DET
ejpam-3634	51	7	n	n	CCONJ
ejpam-3634	51	8	-	-	PUNCT
ejpam-3634	51	9	ary	ary	NOUN
ejpam-3634	51	10	groupoids	groupoid	NOUN
ejpam-3634	51	11	(	(	PUNCT
ejpam-3634	51	12	s	s	PROPN
ejpam-3634	51	13	,	,	PUNCT
ejpam-3634	51	14	f	f	X
ejpam-3634	51	15	)	)	PUNCT
ejpam-3634	51	16	is	be	AUX
ejpam-3634	51	17	an	an	DET
ejpam-3634	51	18	n	n	CCONJ
ejpam-3634	51	19	-	-	PUNCT
ejpam-3634	51	20	ary	ary	NOUN
ejpam-3634	51	21	subgroupoid	subgroupoid	NOUN
ejpam-3634	51	22	of	of	ADP
ejpam-3634	51	23	s	s	PRON
ejpam-3634	51	24	if	if	SCONJ
ejpam-3634	51	25	(	(	PUNCT
ejpam-3634	51	26	t	t	PROPN
ejpam-3634	51	27	,	,	PUNCT
ejpam-3634	51	28	f	f	X
ejpam-3634	51	29	)	)	PUNCT
ejpam-3634	51	30	is	be	AUX
ejpam-3634	51	31	an	an	DET
ejpam-3634	51	32	n	n	CCONJ
ejpam-3634	51	33	-	-	PUNCT
ejpam-3634	51	34	ary	ary	NOUN
ejpam-3634	51	35	groupoid	groupoid	PROPN
ejpam-3634	51	36	,	,	PUNCT
ejpam-3634	51	37	i.e.	i.e.	X
ejpam-3634	51	38	,	,	PUNCT
ejpam-3634	51	39	if	if	SCONJ
ejpam-3634	51	40	it	it	PRON
ejpam-3634	51	41	is	be	AUX
ejpam-3634	51	42	closed	close	VERB
ejpam-3634	51	43	under	under	ADP
ejpam-3634	51	44	the	the	DET
ejpam-3634	51	45	operation	operation	NOUN
ejpam-3634	51	46	f	f	PROPN
ejpam-3634	51	47	.	.	PUNCT
ejpam-3634	52	1	2.2	2.2	NUM
ejpam-3634	52	2	.	.	NUM
ejpam-3634	52	3	neutrosophic	neutrosophic	ADJ
ejpam-3634	52	4	n	n	CCONJ
ejpam-3634	52	5	-structures	-structures	PROPN
ejpam-3634	52	6	definition	definition	NOUN
ejpam-3634	52	7	3	3	NUM
ejpam-3634	52	8	.	.	PUNCT
ejpam-3634	53	1	a	a	DET
ejpam-3634	53	2	neutrosophic	neutrosophic	ADJ
ejpam-3634	53	3	n	n	PRON
ejpam-3634	53	4	-structure	-structure	NOUN
ejpam-3634	53	5	over	over	ADV
ejpam-3634	53	6	x	x	PUNCT
ejpam-3634	53	7	is	be	AUX
ejpam-3634	53	8	defined	define	VERB
ejpam-3634	53	9	to	to	PART
ejpam-3634	53	10	be	be	AUX
ejpam-3634	53	11	the	the	DET
ejpam-3634	53	12	structure	structure	NOUN
ejpam-3634	53	13	xn	xn	PUNCT
ejpam-3634	54	1	:	:	PUNCT
ejpam-3634	54	2	=	=	SYM
ejpam-3634	54	3	x	x	X
ejpam-3634	54	4	(	(	PUNCT
ejpam-3634	54	5	tn	tn	NOUN
ejpam-3634	54	6	,	,	PUNCT
ejpam-3634	54	7	in	in	ADP
ejpam-3634	54	8	,	,	PUNCT
ejpam-3634	54	9	fn	fn	NOUN
ejpam-3634	54	10	)	)	PUNCT
ejpam-3634	54	11	=	=	PRON
ejpam-3634	54	12	{	{	PUNCT
ejpam-3634	54	13	x	x	X
ejpam-3634	54	14	(	(	PUNCT
ejpam-3634	54	15	tn	tn	PROPN
ejpam-3634	54	16	(	(	PUNCT
ejpam-3634	54	17	x	x	NOUN
ejpam-3634	54	18	)	)	PUNCT
ejpam-3634	54	19	,	,	PUNCT
ejpam-3634	54	20	in	in	ADP
ejpam-3634	54	21	(	(	PUNCT
ejpam-3634	54	22	x	x	NOUN
ejpam-3634	54	23	)	)	PUNCT
ejpam-3634	54	24	,	,	PUNCT
ejpam-3634	54	25	fn	fn	ADJ
ejpam-3634	54	26	(	(	PUNCT
ejpam-3634	54	27	x	x	NOUN
ejpam-3634	54	28	)	)	PUNCT
ejpam-3634	54	29	)	)	PUNCT
ejpam-3634	55	1	|	|	ADV
ejpam-3634	55	2	x	x	SYM
ejpam-3634	55	3	∈	∈	NOUN
ejpam-3634	55	4	x	x	PUNCT
ejpam-3634	55	5	}	}	PUNCT
ejpam-3634	55	6	where	where	SCONJ
ejpam-3634	55	7	tn	tn	NOUN
ejpam-3634	55	8	,	,	PUNCT
ejpam-3634	55	9	in	in	ADV
ejpam-3634	55	10	and	and	CCONJ
ejpam-3634	55	11	fn	fn	NOUN
ejpam-3634	55	12	are	be	AUX
ejpam-3634	55	13	n	n	PRON
ejpam-3634	55	14	-functions	-function	NOUN
ejpam-3634	55	15	on	on	ADP
ejpam-3634	55	16	x	x	PUNCT
ejpam-3634	55	17	which	which	PRON
ejpam-3634	55	18	are	be	AUX
ejpam-3634	55	19	called	call	VERB
ejpam-3634	55	20	the	the	DET
ejpam-3634	55	21	truth	truth	NOUN
ejpam-3634	55	22	membership	membership	NOUN
ejpam-3634	55	23	function	function	NOUN
ejpam-3634	55	24	,	,	PUNCT
ejpam-3634	55	25	the	the	DET
ejpam-3634	55	26	indeterminacy	indeterminacy	NOUN
ejpam-3634	55	27	membership	membership	NOUN
ejpam-3634	55	28	function	function	NOUN
ejpam-3634	55	29	and	and	CCONJ
ejpam-3634	55	30	the	the	DET
ejpam-3634	55	31	falsity	falsity	NOUN
ejpam-3634	55	32	membership	membership	NOUN
ejpam-3634	55	33	function	function	NOUN
ejpam-3634	55	34	on	on	ADP
ejpam-3634	55	35	x	x	NOUN
ejpam-3634	55	36	,	,	PUNCT
ejpam-3634	55	37	respectively	respectively	ADV
ejpam-3634	55	38	.	.	PUNCT
ejpam-3634	56	1	definition	definition	NOUN
ejpam-3634	56	2	4	4	NUM
ejpam-3634	56	3	.	.	PUNCT
ejpam-3634	57	1	let	let	VERB
ejpam-3634	57	2	xn	xn	PUNCT
ejpam-3634	58	1	=	=	PUNCT
ejpam-3634	58	2	x	x	X
ejpam-3634	58	3	(	(	PUNCT
ejpam-3634	58	4	tn	tn	NOUN
ejpam-3634	58	5	,	,	PUNCT
ejpam-3634	58	6	in	in	ADP
ejpam-3634	58	7	,	,	PUNCT
ejpam-3634	58	8	fn	fn	NOUN
ejpam-3634	58	9	)	)	PUNCT
ejpam-3634	59	1	and	and	CCONJ
ejpam-3634	59	2	xm	xm	X
ejpam-3634	59	3	=	=	PUNCT
ejpam-3634	60	1	x	x	X
ejpam-3634	60	2	(	(	PUNCT
ejpam-3634	60	3	tm	tm	NOUN
ejpam-3634	60	4	,	,	PUNCT
ejpam-3634	60	5	i	i	PRON
ejpam-3634	60	6	m	m	VERB
ejpam-3634	60	7	,	,	PUNCT
ejpam-3634	60	8	fm	fm	PROPN
ejpam-3634	60	9	)	)	PUNCT
ejpam-3634	60	10	be	be	AUX
ejpam-3634	60	11	neutrosophic	neutrosophic	ADJ
ejpam-3634	60	12	n	n	ADP
ejpam-3634	60	13	structures	structure	NOUN
ejpam-3634	60	14	over	over	ADP
ejpam-3634	60	15	x.	x.	NOUN
ejpam-3634	60	16	a.	a.	PROPN
ejpam-3634	60	17	rattana	rattana	PROPN
ejpam-3634	60	18	,	,	PUNCT
ejpam-3634	60	19	r.	r.	PROPN
ejpam-3634	60	20	chinram	chinram	PROPN
ejpam-3634	60	21	/	/	SYM
ejpam-3634	60	22	eur	eur	PROPN
ejpam-3634	60	23	.	.	PUNCT
ejpam-3634	61	1	j.	j.	PROPN
ejpam-3634	61	2	pure	pure	PROPN
ejpam-3634	61	3	appl	appl	PROPN
ejpam-3634	61	4	.	.	PROPN
ejpam-3634	61	5	math	math	PROPN
ejpam-3634	61	6	,	,	PUNCT
ejpam-3634	61	7	13	13	NUM
ejpam-3634	61	8	(	(	PUNCT
ejpam-3634	61	9	2	2	NUM
ejpam-3634	61	10	)	)	PUNCT
ejpam-3634	61	11	(	(	PUNCT
ejpam-3634	61	12	2020	2020	NUM
ejpam-3634	61	13	)	)	PUNCT
ejpam-3634	61	14	,	,	PUNCT
ejpam-3634	61	15	200	200	NUM
ejpam-3634	61	16	-	-	SYM
ejpam-3634	61	17	215	215	NUM
ejpam-3634	61	18	202	202	NUM
ejpam-3634	61	19	(	(	PUNCT
ejpam-3634	61	20	1	1	NUM
ejpam-3634	61	21	)	)	PUNCT
ejpam-3634	61	22	xn	xn	PUNCT
ejpam-3634	61	23	is	be	AUX
ejpam-3634	61	24	a	a	DET
ejpam-3634	61	25	neutrosophic	neutrosophic	ADJ
ejpam-3634	61	26	n	n	PRON
ejpam-3634	61	27	-substructure	-substructure	NOUN
ejpam-3634	61	28	of	of	ADP
ejpam-3634	61	29	xm	xm	PROPN
ejpam-3634	61	30	over	over	ADP
ejpam-3634	61	31	x	x	PROPN
ejpam-3634	61	32	,	,	PUNCT
ejpam-3634	61	33	denoted	denote	VERB
ejpam-3634	61	34	by	by	ADP
ejpam-3634	61	35	xn	xn	PROPN
ejpam-3634	61	36	⊆	⊆	NUM
ejpam-3634	61	37	xm	xm	PROPN
ejpam-3634	61	38	,	,	PUNCT
ejpam-3634	61	39	if	if	SCONJ
ejpam-3634	61	40	it	it	PRON
ejpam-3634	61	41	satisfies	satisfy	VERB
ejpam-3634	61	42	the	the	DET
ejpam-3634	61	43	conditions	condition	NOUN
ejpam-3634	61	44	tn	tn	PROPN
ejpam-3634	61	45	(	(	PUNCT
ejpam-3634	61	46	x	x	NOUN
ejpam-3634	61	47	)	)	PUNCT
ejpam-3634	61	48	≥	≥	PROPN
ejpam-3634	61	49	tm	tm	PROPN
ejpam-3634	61	50	(	(	PUNCT
ejpam-3634	61	51	x	x	NOUN
ejpam-3634	61	52	)	)	PUNCT
ejpam-3634	61	53	,	,	PUNCT
ejpam-3634	61	54	in	in	ADP
ejpam-3634	61	55	(	(	PUNCT
ejpam-3634	61	56	x	x	NOUN
ejpam-3634	61	57	)	)	PUNCT
ejpam-3634	61	58	≤	≤	NOUN
ejpam-3634	62	1	i	i	PRON
ejpam-3634	62	2	m	m	VERB
ejpam-3634	62	3	(	(	PUNCT
ejpam-3634	62	4	x	x	NOUN
ejpam-3634	62	5	)	)	PUNCT
ejpam-3634	62	6	,	,	PUNCT
ejpam-3634	62	7	fn	fn	ADJ
ejpam-3634	62	8	(	(	PUNCT
ejpam-3634	62	9	x	x	NOUN
ejpam-3634	62	10	)	)	PUNCT
ejpam-3634	62	11	≥	≥	PROPN
ejpam-3634	62	12	fm	fm	PROPN
ejpam-3634	62	13	(	(	PUNCT
ejpam-3634	62	14	x	x	X
ejpam-3634	62	15	)	)	PUNCT
ejpam-3634	62	16	for	for	ADP
ejpam-3634	62	17	all	all	PRON
ejpam-3634	62	18	x	x	SYM
ejpam-3634	62	19	∈	∈	ADJ
ejpam-3634	62	20	x.	x.	NOUN
ejpam-3634	62	21	we	we	PRON
ejpam-3634	62	22	have	have	VERB
ejpam-3634	62	23	that	that	PRON
ejpam-3634	62	24	xn	xn	PROPN
ejpam-3634	63	1	⊆	⊆	NUM
ejpam-3634	63	2	xm	xm	PROPN
ejpam-3634	63	3	and	and	CCONJ
ejpam-3634	63	4	xm	xm	PROPN
ejpam-3634	63	5	⊆	⊆	NUM
ejpam-3634	63	6	xn	xn	NOUN
ejpam-3634	64	1	if	if	SCONJ
ejpam-3634	64	2	and	and	CCONJ
ejpam-3634	64	3	only	only	ADV
ejpam-3634	64	4	if	if	SCONJ
ejpam-3634	64	5	xn	xn	PROPN
ejpam-3634	64	6	=	=	SYM
ejpam-3634	64	7	xm	xm	PROPN
ejpam-3634	64	8	.	.	PUNCT
ejpam-3634	65	1	(	(	PUNCT
ejpam-3634	65	2	2	2	X
ejpam-3634	65	3	)	)	PUNCT
ejpam-3634	65	4	the	the	DET
ejpam-3634	65	5	union	union	NOUN
ejpam-3634	65	6	of	of	ADP
ejpam-3634	65	7	xn	xn	PROPN
ejpam-3634	65	8	and	and	CCONJ
ejpam-3634	65	9	xm	xm	PROPN
ejpam-3634	65	10	,	,	PUNCT
ejpam-3634	65	11	denoted	denote	VERB
ejpam-3634	65	12	it	it	PRON
ejpam-3634	65	13	briefly	briefly	ADV
ejpam-3634	65	14	by	by	ADP
ejpam-3634	65	15	xn∪m	xn∪m	PROPN
ejpam-3634	65	16	,	,	PUNCT
ejpam-3634	65	17	is	be	AUX
ejpam-3634	65	18	defined	define	VERB
ejpam-3634	65	19	to	to	PART
ejpam-3634	65	20	be	be	AUX
ejpam-3634	65	21	a	a	DET
ejpam-3634	65	22	neutrosophic	neutrosophic	ADJ
ejpam-3634	65	23	n	n	CCONJ
ejpam-3634	65	24	-structure	-structure	NOUN
ejpam-3634	65	25	xn∪m	xn∪m	PROPN
ejpam-3634	66	1	=	=	SYM
ejpam-3634	66	2	x	x	X
ejpam-3634	66	3	(	(	PUNCT
ejpam-3634	66	4	tn∪m	tn∪m	NOUN
ejpam-3634	66	5	,	,	PUNCT
ejpam-3634	66	6	in∪m	in∪m	PROPN
ejpam-3634	66	7	,	,	PUNCT
ejpam-3634	66	8	fn∪m	fn∪m	PROPN
ejpam-3634	66	9	)	)	PUNCT
ejpam-3634	66	10	where	where	SCONJ
ejpam-3634	66	11	tn∪m	tn∪m	PROPN
ejpam-3634	66	12	(	(	PUNCT
ejpam-3634	66	13	x	x	X
ejpam-3634	66	14	)	)	PUNCT
ejpam-3634	66	15	=	=	SYM
ejpam-3634	66	16	∧	∧	PROPN
ejpam-3634	66	17	{	{	PUNCT
ejpam-3634	66	18	tn	tn	PROPN
ejpam-3634	66	19	(	(	PUNCT
ejpam-3634	66	20	x	x	NOUN
ejpam-3634	66	21	)	)	PUNCT
ejpam-3634	66	22	,	,	PUNCT
ejpam-3634	66	23	tm	tm	PROPN
ejpam-3634	66	24	(	(	PUNCT
ejpam-3634	66	25	x	x	NOUN
ejpam-3634	66	26	)	)	PUNCT
ejpam-3634	66	27	}	}	PUNCT
ejpam-3634	66	28	,	,	PUNCT
ejpam-3634	66	29	in∪m	in∪m	PROPN
ejpam-3634	66	30	(	(	PUNCT
ejpam-3634	66	31	x	x	X
ejpam-3634	66	32	)	)	PUNCT
ejpam-3634	66	33	=	=	SYM
ejpam-3634	66	34	∨	∨	X
ejpam-3634	66	35	{	{	PUNCT
ejpam-3634	66	36	in	in	ADP
ejpam-3634	66	37	(	(	PUNCT
ejpam-3634	66	38	x	x	NOUN
ejpam-3634	66	39	)	)	PUNCT
ejpam-3634	66	40	,	,	PUNCT
ejpam-3634	66	41	i	i	PRON
ejpam-3634	66	42	m	m	VERB
ejpam-3634	66	43	(	(	PUNCT
ejpam-3634	66	44	x	x	NOUN
ejpam-3634	66	45	)	)	PUNCT
ejpam-3634	66	46	}	}	PUNCT
ejpam-3634	66	47	,	,	PUNCT
ejpam-3634	66	48	fn∪m	fn∪m	X
ejpam-3634	66	49	(	(	PUNCT
ejpam-3634	66	50	x	x	NOUN
ejpam-3634	66	51	)	)	PUNCT
ejpam-3634	66	52	=	=	SYM
ejpam-3634	66	53	∧	∧	NOUN
ejpam-3634	66	54	{	{	PUNCT
ejpam-3634	66	55	fn	fn	PROPN
ejpam-3634	66	56	(	(	PUNCT
ejpam-3634	66	57	x	x	NOUN
ejpam-3634	66	58	)	)	PUNCT
ejpam-3634	66	59	,	,	PUNCT
ejpam-3634	66	60	fm	fm	PROPN
ejpam-3634	66	61	(	(	PUNCT
ejpam-3634	66	62	x	x	X
ejpam-3634	66	63	)	)	PUNCT
ejpam-3634	66	64	}	}	PUNCT
ejpam-3634	66	65	.	.	PUNCT
ejpam-3634	67	1	(	(	PUNCT
ejpam-3634	67	2	3	3	X
ejpam-3634	67	3	)	)	PUNCT
ejpam-3634	67	4	the	the	DET
ejpam-3634	67	5	intersection	intersection	NOUN
ejpam-3634	67	6	of	of	ADP
ejpam-3634	67	7	xn	xn	PROPN
ejpam-3634	67	8	and	and	CCONJ
ejpam-3634	67	9	xm	xm	PROPN
ejpam-3634	67	10	,	,	PUNCT
ejpam-3634	67	11	written	write	VERB
ejpam-3634	67	12	it	it	PRON
ejpam-3634	67	13	simply	simply	ADV
ejpam-3634	67	14	as	as	ADP
ejpam-3634	67	15	xn∩m	xn∩m	PROPN
ejpam-3634	67	16	,	,	PUNCT
ejpam-3634	67	17	is	be	AUX
ejpam-3634	67	18	defined	define	VERB
ejpam-3634	67	19	to	to	PART
ejpam-3634	67	20	be	be	AUX
ejpam-3634	67	21	a	a	DET
ejpam-3634	67	22	neutrosophic	neutrosophic	ADJ
ejpam-3634	67	23	n	n	PRON
ejpam-3634	67	24	-structure	-structure	NOUN
ejpam-3634	67	25	xn∩m	xn∩m	PUNCT
ejpam-3634	67	26	=	=	SYM
ejpam-3634	67	27	x	x	X
ejpam-3634	67	28	(	(	PUNCT
ejpam-3634	67	29	tn∩m	tn∩m	NOUN
ejpam-3634	67	30	,	,	PUNCT
ejpam-3634	67	31	in∩m	in∩m	ADJ
ejpam-3634	67	32	,	,	PUNCT
ejpam-3634	67	33	fn∩m	fn∩m	ADV
ejpam-3634	67	34	)	)	PUNCT
ejpam-3634	68	1	where	where	SCONJ
ejpam-3634	68	2	tn∩m	tn∩m	NOUN
ejpam-3634	68	3	(	(	PUNCT
ejpam-3634	68	4	x	x	NOUN
ejpam-3634	68	5	)	)	PUNCT
ejpam-3634	68	6	=	=	SYM
ejpam-3634	68	7	∨	∨	X
ejpam-3634	68	8	{	{	PUNCT
ejpam-3634	68	9	tn	tn	PROPN
ejpam-3634	68	10	(	(	PUNCT
ejpam-3634	68	11	x	x	NOUN
ejpam-3634	68	12	)	)	PUNCT
ejpam-3634	68	13	,	,	PUNCT
ejpam-3634	68	14	tm	tm	PROPN
ejpam-3634	68	15	(	(	PUNCT
ejpam-3634	68	16	x	x	NOUN
ejpam-3634	68	17	)	)	PUNCT
ejpam-3634	68	18	}	}	PUNCT
ejpam-3634	68	19	,	,	PUNCT
ejpam-3634	68	20	in∩m	in∩m	X
ejpam-3634	68	21	(	(	PUNCT
ejpam-3634	68	22	x	x	X
ejpam-3634	68	23	)	)	PUNCT
ejpam-3634	68	24	=	=	SYM
ejpam-3634	68	25	∧	∧	NOUN
ejpam-3634	68	26	{	{	PUNCT
ejpam-3634	68	27	in	in	ADP
ejpam-3634	68	28	(	(	PUNCT
ejpam-3634	68	29	x	x	NOUN
ejpam-3634	68	30	)	)	PUNCT
ejpam-3634	68	31	,	,	PUNCT
ejpam-3634	68	32	i	i	PRON
ejpam-3634	68	33	m	m	VERB
ejpam-3634	68	34	(	(	PUNCT
ejpam-3634	68	35	x	x	NOUN
ejpam-3634	68	36	)	)	PUNCT
ejpam-3634	68	37	}	}	PUNCT
ejpam-3634	68	38	,	,	PUNCT
ejpam-3634	68	39	fn∩m	fn∩m	ADV
ejpam-3634	68	40	(	(	PUNCT
ejpam-3634	68	41	x	x	X
ejpam-3634	68	42	)	)	PUNCT
ejpam-3634	68	43	=	=	SYM
ejpam-3634	68	44	∨	∨	X
ejpam-3634	68	45	{	{	PUNCT
ejpam-3634	68	46	fn	fn	PROPN
ejpam-3634	68	47	(	(	PUNCT
ejpam-3634	68	48	x	x	NOUN
ejpam-3634	68	49	)	)	PUNCT
ejpam-3634	68	50	,	,	PUNCT
ejpam-3634	68	51	fm	fm	PROPN
ejpam-3634	68	52	(	(	PUNCT
ejpam-3634	68	53	x	x	X
ejpam-3634	68	54	)	)	PUNCT
ejpam-3634	68	55	}	}	PUNCT
ejpam-3634	68	56	.	.	PUNCT
ejpam-3634	69	1	definition	definition	NOUN
ejpam-3634	69	2	5	5	NUM
ejpam-3634	69	3	.	.	PUNCT
ejpam-3634	70	1	let	let	VERB
ejpam-3634	70	2	xn	xn	PROPN
ejpam-3634	71	1	:	:	PUNCT
ejpam-3634	71	2	=	=	SYM
ejpam-3634	71	3	x	x	X
ejpam-3634	71	4	(	(	PUNCT
ejpam-3634	71	5	tn	tn	NOUN
ejpam-3634	71	6	,	,	PUNCT
ejpam-3634	71	7	in	in	ADP
ejpam-3634	71	8	,	,	PUNCT
ejpam-3634	71	9	fn	fn	INTJ
ejpam-3634	71	10	)	)	PUNCT
ejpam-3634	71	11	be	be	AUX
ejpam-3634	71	12	a	a	DET
ejpam-3634	71	13	neutrosophic	neutrosophic	ADJ
ejpam-3634	71	14	n	n	CCONJ
ejpam-3634	71	15	-structure	-structure	NOUN
ejpam-3634	71	16	over	over	ADP
ejpam-3634	71	17	x.	x.	NOUN
ejpam-3634	72	1	the	the	DET
ejpam-3634	72	2	complement	complement	NOUN
ejpam-3634	72	3	of	of	ADP
ejpam-3634	72	4	xn	xn	PROPN
ejpam-3634	72	5	,	,	PUNCT
ejpam-3634	72	6	denoted	denote	VERB
ejpam-3634	72	7	by	by	ADP
ejpam-3634	72	8	xnc	xnc	PROPN
ejpam-3634	72	9	,	,	PUNCT
ejpam-3634	72	10	is	be	AUX
ejpam-3634	72	11	defined	define	VERB
ejpam-3634	72	12	to	to	PART
ejpam-3634	72	13	be	be	AUX
ejpam-3634	72	14	a	a	DET
ejpam-3634	72	15	neutrosophic	neutrosophic	ADJ
ejpam-3634	72	16	n	n	PRON
ejpam-3634	72	17	-structure	-structure	NOUN
ejpam-3634	72	18	xnc	xnc	NOUN
ejpam-3634	72	19	:	:	PUNCT
ejpam-3634	73	1	=	=	SYM
ejpam-3634	73	2	x	x	X
ejpam-3634	73	3	(	(	PUNCT
ejpam-3634	73	4	tnc	tnc	PROPN
ejpam-3634	73	5	,	,	PUNCT
ejpam-3634	73	6	inc	inc	PROPN
ejpam-3634	73	7	,	,	PUNCT
ejpam-3634	73	8	fnc	fnc	PROPN
ejpam-3634	73	9	)	)	PUNCT
ejpam-3634	73	10	over	over	ADP
ejpam-3634	73	11	x	x	NOUN
ejpam-3634	73	12	,	,	PUNCT
ejpam-3634	73	13	where	where	SCONJ
ejpam-3634	73	14	tnc(x	tnc(x	NOUN
ejpam-3634	73	15	)	)	PUNCT
ejpam-3634	73	16	=	=	PUNCT
ejpam-3634	73	17	−1−	−1−	PROPN
ejpam-3634	73	18	tn	tn	PROPN
ejpam-3634	73	19	(	(	PUNCT
ejpam-3634	73	20	x	x	NOUN
ejpam-3634	73	21	)	)	PUNCT
ejpam-3634	73	22	,	,	PUNCT
ejpam-3634	73	23	inc(x	inc(x	PROPN
ejpam-3634	73	24	)	)	PUNCT
ejpam-3634	73	25	=	=	PROPN
ejpam-3634	74	1	−1−	−1−	PROPN
ejpam-3634	74	2	in	in	ADP
ejpam-3634	74	3	(	(	PUNCT
ejpam-3634	74	4	x	x	NOUN
ejpam-3634	74	5	)	)	PUNCT
ejpam-3634	74	6	,	,	PUNCT
ejpam-3634	74	7	fnc(x	fnc(x	NOUN
ejpam-3634	74	8	)	)	PUNCT
ejpam-3634	74	9	=	=	PUNCT
ejpam-3634	75	1	−1−	−1−	PROPN
ejpam-3634	75	2	fn	fn	PROPN
ejpam-3634	75	3	(	(	PUNCT
ejpam-3634	75	4	x	x	NOUN
ejpam-3634	75	5	)	)	PUNCT
ejpam-3634	75	6	for	for	ADP
ejpam-3634	75	7	all	all	DET
ejpam-3634	75	8	x	x	SYM
ejpam-3634	75	9	∈	∈	PROPN
ejpam-3634	75	10	x.	x.	NOUN
ejpam-3634	75	11	a.	a.	NOUN
ejpam-3634	75	12	rattana	rattana	PROPN
ejpam-3634	75	13	,	,	PUNCT
ejpam-3634	75	14	r.	r.	PROPN
ejpam-3634	75	15	chinram	chinram	PROPN
ejpam-3634	75	16	/	/	SYM
ejpam-3634	75	17	eur	eur	PROPN
ejpam-3634	75	18	.	.	PUNCT
ejpam-3634	76	1	j.	j.	PROPN
ejpam-3634	76	2	pure	pure	PROPN
ejpam-3634	76	3	appl	appl	PROPN
ejpam-3634	76	4	.	.	PROPN
ejpam-3634	76	5	math	math	PROPN
ejpam-3634	76	6	,	,	PUNCT
ejpam-3634	76	7	13	13	NUM
ejpam-3634	76	8	(	(	PUNCT
ejpam-3634	76	9	2	2	NUM
ejpam-3634	76	10	)	)	PUNCT
ejpam-3634	76	11	(	(	PUNCT
ejpam-3634	76	12	2020	2020	NUM
ejpam-3634	76	13	)	)	PUNCT
ejpam-3634	76	14	,	,	PUNCT
ejpam-3634	76	15	200	200	NUM
ejpam-3634	76	16	-	-	SYM
ejpam-3634	76	17	215	215	NUM
ejpam-3634	76	18	203	203	NUM
ejpam-3634	76	19	definition	definition	NOUN
ejpam-3634	76	20	6	6	NUM
ejpam-3634	76	21	.	.	PUNCT
ejpam-3634	77	1	let	let	VERB
ejpam-3634	77	2	xn	xn	PUNCT
ejpam-3634	77	3	be	be	AUX
ejpam-3634	77	4	a	a	DET
ejpam-3634	77	5	neutrosophic	neutrosophic	ADJ
ejpam-3634	77	6	n	n	CCONJ
ejpam-3634	77	7	-structure	-structure	NOUN
ejpam-3634	77	8	over	over	ADP
ejpam-3634	77	9	x	x	PUNCT
ejpam-3634	77	10	and	and	CCONJ
ejpam-3634	77	11	let	let	VERB
ejpam-3634	77	12	α	α	PRON
ejpam-3634	77	13	,	,	PUNCT
ejpam-3634	77	14	β	β	X
ejpam-3634	77	15	,	,	PUNCT
ejpam-3634	77	16	γ	γ	X
ejpam-3634	77	17	be	be	VERB
ejpam-3634	77	18	real	real	ADJ
ejpam-3634	77	19	numbers	number	NOUN
ejpam-3634	77	20	such	such	ADJ
ejpam-3634	77	21	that	that	SCONJ
ejpam-3634	77	22	α	α	NOUN
ejpam-3634	77	23	,	,	PUNCT
ejpam-3634	77	24	β	β	X
ejpam-3634	77	25	,	,	PUNCT
ejpam-3634	77	26	γ	γ	PROPN
ejpam-3634	77	27	∈	∈	PROPN
ejpam-3634	78	1	[	[	X
ejpam-3634	78	2	−1	−1	NOUN
ejpam-3634	78	3	,	,	PUNCT
ejpam-3634	78	4	0	0	NUM
ejpam-3634	78	5	]	]	PUNCT
ejpam-3634	78	6	.	.	PUNCT
ejpam-3634	79	1	define	define	VERB
ejpam-3634	79	2	the	the	DET
ejpam-3634	79	3	sets	set	NOUN
ejpam-3634	79	4	tαn	tαn	NOUN
ejpam-3634	79	5	=	=	SYM
ejpam-3634	79	6	{	{	PUNCT
ejpam-3634	79	7	x	x	SYM
ejpam-3634	79	8	∈	∈	PROPN
ejpam-3634	79	9	x	x	INTJ
ejpam-3634	80	1	|	|	ADV
ejpam-3634	80	2	tn	tn	PROPN
ejpam-3634	80	3	(	(	PUNCT
ejpam-3634	80	4	x	x	NOUN
ejpam-3634	80	5	)	)	PUNCT
ejpam-3634	80	6	≤	≤	NOUN
ejpam-3634	80	7	α	α	X
ejpam-3634	80	8	}	}	PUNCT
ejpam-3634	80	9	,	,	PUNCT
ejpam-3634	80	10	iβn	iβn	NOUN
ejpam-3634	80	11	=	=	SYM
ejpam-3634	80	12	{	{	PUNCT
ejpam-3634	80	13	x	x	SYM
ejpam-3634	80	14	∈	∈	PROPN
ejpam-3634	80	15	x	x	PUNCT
ejpam-3634	80	16	|	|	ADV
ejpam-3634	80	17	in	in	ADV
ejpam-3634	80	18	(	(	PUNCT
ejpam-3634	80	19	x	x	NOUN
ejpam-3634	80	20	)	)	PUNCT
ejpam-3634	80	21	≥	≥	NOUN
ejpam-3634	80	22	β	β	NOUN
ejpam-3634	80	23	}	}	PUNCT
ejpam-3634	80	24	,	,	PUNCT
ejpam-3634	80	25	f	f	PROPN
ejpam-3634	80	26	γn	γn	AUX
ejpam-3634	80	27	=	=	PRON
ejpam-3634	80	28	{	{	PUNCT
ejpam-3634	80	29	x	x	SYM
ejpam-3634	80	30	∈	∈	PROPN
ejpam-3634	80	31	x	x	INTJ
ejpam-3634	80	32	|	|	ADV
ejpam-3634	80	33	fn	fn	INTJ
ejpam-3634	80	34	(	(	PUNCT
ejpam-3634	80	35	x	x	NOUN
ejpam-3634	80	36	)	)	PUNCT
ejpam-3634	80	37	≤	≤	NOUN
ejpam-3634	80	38	γ	γ	X
ejpam-3634	80	39	}	}	PUNCT
ejpam-3634	80	40	.	.	PUNCT
ejpam-3634	81	1	we	we	PRON
ejpam-3634	81	2	call	call	VERB
ejpam-3634	81	3	a	a	DET
ejpam-3634	81	4	set	set	NOUN
ejpam-3634	81	5	xn	xn	PROPN
ejpam-3634	81	6	(	(	PUNCT
ejpam-3634	81	7	α	α	NOUN
ejpam-3634	81	8	,	,	PUNCT
ejpam-3634	81	9	β	β	X
ejpam-3634	81	10	,	,	PUNCT
ejpam-3634	81	11	γ	γ	NOUN
ejpam-3634	81	12	)	)	PUNCT
ejpam-3634	81	13	=	=	SYM
ejpam-3634	81	14	{	{	PUNCT
ejpam-3634	81	15	x	x	PUNCT
ejpam-3634	81	16	∈	∈	PROPN
ejpam-3634	81	17	x	x	INTJ
ejpam-3634	81	18	|	|	ADV
ejpam-3634	81	19	tn	tn	PROPN
ejpam-3634	81	20	(	(	PUNCT
ejpam-3634	81	21	x	x	NOUN
ejpam-3634	81	22	)	)	PUNCT
ejpam-3634	81	23	≤	≤	NOUN
ejpam-3634	81	24	α	α	X
ejpam-3634	81	25	,	,	PUNCT
ejpam-3634	81	26	in	in	ADP
ejpam-3634	81	27	(	(	PUNCT
ejpam-3634	81	28	x	x	NOUN
ejpam-3634	81	29	)	)	PUNCT
ejpam-3634	81	30	≥	≥	PROPN
ejpam-3634	81	31	β	β	X
ejpam-3634	81	32	,	,	PUNCT
ejpam-3634	81	33	fn	fn	INTJ
ejpam-3634	81	34	(	(	PUNCT
ejpam-3634	81	35	x	x	NOUN
ejpam-3634	81	36	)	)	PUNCT
ejpam-3634	81	37	≤	≤	NOUN
ejpam-3634	81	38	γ	γ	X
ejpam-3634	81	39	}	}	PUNCT
ejpam-3634	81	40	an	an	DET
ejpam-3634	81	41	(	(	PUNCT
ejpam-3634	81	42	α	α	NOUN
ejpam-3634	81	43	,	,	PUNCT
ejpam-3634	81	44	β	β	X
ejpam-3634	81	45	,	,	PUNCT
ejpam-3634	81	46	γ)-level	γ)-level	VERB
ejpam-3634	81	47	set	set	VERB
ejpam-3634	81	48	of	of	ADP
ejpam-3634	81	49	xn	xn	PROPN
ejpam-3634	81	50	.	.	PUNCT
ejpam-3634	82	1	for	for	ADP
ejpam-3634	82	2	the	the	DET
ejpam-3634	82	3	convenience	convenience	NOUN
ejpam-3634	82	4	,	,	PUNCT
ejpam-3634	82	5	we	we	PRON
ejpam-3634	82	6	note	note	VERB
ejpam-3634	82	7	that	that	SCONJ
ejpam-3634	82	8	xn	xn	PROPN
ejpam-3634	82	9	(	(	PUNCT
ejpam-3634	82	10	α	α	X
ejpam-3634	82	11	,	,	PUNCT
ejpam-3634	82	12	β	β	X
ejpam-3634	82	13	,	,	PUNCT
ejpam-3634	82	14	γ	γ	NOUN
ejpam-3634	82	15	)	)	PUNCT
ejpam-3634	82	16	=	=	NOUN
ejpam-3634	82	17	tαn	tαn	NOUN
ejpam-3634	82	18	∩	∩	PROPN
ejpam-3634	82	19	i	i	PRON
ejpam-3634	82	20	β	β	NOUN
ejpam-3634	82	21	n	n	X
ejpam-3634	82	22	∩	∩	X
ejpam-3634	82	23	f	f	PROPN
ejpam-3634	82	24	γ	γ	PROPN
ejpam-3634	82	25	n	n	PROPN
ejpam-3634	82	26	.	.	PUNCT
ejpam-3634	83	1	from	from	ADP
ejpam-3634	83	2	now	now	ADV
ejpam-3634	83	3	on	on	ADV
ejpam-3634	83	4	,	,	PUNCT
ejpam-3634	83	5	an	an	DET
ejpam-3634	83	6	n	n	CCONJ
ejpam-3634	83	7	-	-	PUNCT
ejpam-3634	83	8	ary	ary	NOUN
ejpam-3634	83	9	groupoid	groupoid	PROPN
ejpam-3634	83	10	x	x	PROPN
ejpam-3634	83	11	denotes	denote	VERB
ejpam-3634	83	12	the	the	DET
ejpam-3634	83	13	universe	universe	NOUN
ejpam-3634	83	14	of	of	ADP
ejpam-3634	83	15	discourse	discourse	NOUN
ejpam-3634	83	16	unless	unless	SCONJ
ejpam-3634	83	17	otherwise	otherwise	ADV
ejpam-3634	83	18	specified	specify	VERB
ejpam-3634	83	19	.	.	PUNCT
ejpam-3634	84	1	3	3	X
ejpam-3634	84	2	.	.	X
ejpam-3634	84	3	main	main	ADJ
ejpam-3634	84	4	results	result	NOUN
ejpam-3634	84	5	in	in	ADP
ejpam-3634	84	6	this	this	DET
ejpam-3634	84	7	section	section	NOUN
ejpam-3634	84	8	,	,	PUNCT
ejpam-3634	84	9	we	we	PRON
ejpam-3634	84	10	will	will	AUX
ejpam-3634	84	11	look	look	VERB
ejpam-3634	84	12	closely	closely	ADV
ejpam-3634	84	13	at	at	ADP
ejpam-3634	84	14	neutrosophic	neutrosophic	ADJ
ejpam-3634	84	15	n	n	CCONJ
ejpam-3634	84	16	-	-	PUNCT
ejpam-3634	84	17	aryn	aryn	PROPN
ejpam-3634	84	18	-subgroupoids	-subgroupoid	NOUN
ejpam-3634	84	19	,	,	PUNCT
ejpam-3634	84	20	the	the	DET
ejpam-3634	84	21	(	(	PUNCT
ejpam-3634	84	22	α	α	NOUN
ejpam-3634	84	23	,	,	PUNCT
ejpam-3634	84	24	β	β	NOUN
ejpam-3634	84	25	,	,	PUNCT
ejpam-3634	84	26	γ)level	γ)level	PROPN
ejpam-3634	84	27	set	set	NOUN
ejpam-3634	84	28	,	,	PUNCT
ejpam-3634	84	29	the	the	DET
ejpam-3634	84	30	intersection	intersection	NOUN
ejpam-3634	84	31	of	of	ADP
ejpam-3634	84	32	neutrosophic	neutrosophic	ADJ
ejpam-3634	84	33	n	n	CCONJ
ejpam-3634	84	34	-	-	PUNCT
ejpam-3634	84	35	ary	ary	NOUN
ejpam-3634	84	36	n	n	CCONJ
ejpam-3634	84	37	-subgroupoids	-subgroupoid	NOUN
ejpam-3634	84	38	,	,	PUNCT
ejpam-3634	84	39	neutrosophic	neutrosophic	ADJ
ejpam-3634	84	40	n	n	CCONJ
ejpam-3634	84	41	-	-	PUNCT
ejpam-3634	84	42	ary	ary	PROPN
ejpam-3634	84	43	n	n	CCONJ
ejpam-3634	84	44	subgroupoid	subgroupoid	NOUN
ejpam-3634	84	45	products	product	NOUN
ejpam-3634	84	46	,	,	PUNCT
ejpam-3634	84	47	ε	ε	PROPN
ejpam-3634	84	48	-	-	PUNCT
ejpam-3634	84	49	neutrosophic	neutrosophic	ADJ
ejpam-3634	84	50	n	n	CCONJ
ejpam-3634	84	51	-	-	PUNCT
ejpam-3634	84	52	ary	ary	NOUN
ejpam-3634	84	53	n	n	CCONJ
ejpam-3634	84	54	-subgroupoids	-subgroupoid	NOUN
ejpam-3634	84	55	,	,	PUNCT
ejpam-3634	84	56	homomorphic	homomorphic	ADJ
ejpam-3634	84	57	preimage	preimage	NOUN
ejpam-3634	84	58	of	of	ADP
ejpam-3634	84	59	the	the	DET
ejpam-3634	84	60	neutrosophic	neutrosophic	ADJ
ejpam-3634	84	61	n	n	CCONJ
ejpam-3634	84	62	-	-	PUNCT
ejpam-3634	84	63	ary	ary	NOUN
ejpam-3634	84	64	n	n	CCONJ
ejpam-3634	84	65	-subgroupoids	-subgroupoid	NOUN
ejpam-3634	84	66	and	and	CCONJ
ejpam-3634	84	67	onto	onto	ADP
ejpam-3634	84	68	homomorphic	homomorphic	ADJ
ejpam-3634	84	69	image	image	NOUN
ejpam-3634	84	70	of	of	ADP
ejpam-3634	84	71	the	the	DET
ejpam-3634	84	72	neutrosophic	neutrosophic	ADJ
ejpam-3634	84	73	n	n	CCONJ
ejpam-3634	84	74	-	-	PUNCT
ejpam-3634	84	75	ary	ary	NOUN
ejpam-3634	84	76	n	n	CCONJ
ejpam-3634	84	77	-subgroupoids	-subgroupoid	NOUN
ejpam-3634	84	78	.	.	PUNCT
ejpam-3634	85	1	definition	definition	NOUN
ejpam-3634	85	2	7	7	NUM
ejpam-3634	85	3	.	.	PUNCT
ejpam-3634	86	1	let	let	VERB
ejpam-3634	86	2	xn	xn	PROPN
ejpam-3634	87	1	:	:	PUNCT
ejpam-3634	87	2	=	=	SYM
ejpam-3634	87	3	x	x	X
ejpam-3634	87	4	(	(	PUNCT
ejpam-3634	87	5	tn	tn	NOUN
ejpam-3634	87	6	,	,	PUNCT
ejpam-3634	87	7	in	in	ADP
ejpam-3634	87	8	,	,	PUNCT
ejpam-3634	87	9	fn	fn	INTJ
ejpam-3634	87	10	)	)	PUNCT
ejpam-3634	87	11	be	be	AUX
ejpam-3634	87	12	a	a	DET
ejpam-3634	87	13	neutrosophic	neutrosophic	ADJ
ejpam-3634	87	14	structure	structure	NOUN
ejpam-3634	87	15	over	over	ADP
ejpam-3634	87	16	an	an	DET
ejpam-3634	87	17	n	n	CCONJ
ejpam-3634	87	18	-	-	PUNCT
ejpam-3634	87	19	ary	ary	NOUN
ejpam-3634	87	20	groupoid	groupoid	PROPN
ejpam-3634	87	21	x.	x.	PROPN
ejpam-3634	87	22	then	then	ADV
ejpam-3634	87	23	xn	xn	PROPN
ejpam-3634	87	24	is	be	AUX
ejpam-3634	87	25	called	call	VERB
ejpam-3634	87	26	a	a	DET
ejpam-3634	87	27	neutrosophic	neutrosophic	ADJ
ejpam-3634	87	28	n	n	CCONJ
ejpam-3634	87	29	-	-	PUNCT
ejpam-3634	87	30	ary	ary	PROPN
ejpam-3634	87	31	n	n	NUM
ejpam-3634	87	32	-subgoupoid	-subgoupoid	NOUN
ejpam-3634	87	33	of	of	ADP
ejpam-3634	87	34	x	x	PRON
ejpam-3634	87	35	if	if	SCONJ
ejpam-3634	87	36	the	the	DET
ejpam-3634	87	37	following	follow	VERB
ejpam-3634	87	38	conditions	condition	NOUN
ejpam-3634	87	39	are	be	AUX
ejpam-3634	87	40	valid	valid	ADJ
ejpam-3634	87	41	:	:	PUNCT
ejpam-3634	88	1	tn	tn	PROPN
ejpam-3634	88	2	(	(	PUNCT
ejpam-3634	88	3	f(xn1	f(xn1	PROPN
ejpam-3634	88	4	)	)	PUNCT
ejpam-3634	88	5	)	)	PUNCT
ejpam-3634	88	6	≤	≤	NUM
ejpam-3634	88	7	∨	∨	NUM
ejpam-3634	88	8	{	{	PUNCT
ejpam-3634	88	9	tn	tn	PROPN
ejpam-3634	88	10	(	(	PUNCT
ejpam-3634	88	11	x1	x1	PROPN
ejpam-3634	88	12	)	)	PUNCT
ejpam-3634	88	13	,	,	PUNCT
ejpam-3634	88	14	.	.	PUNCT
ejpam-3634	88	15	.	.	PUNCT
ejpam-3634	89	1	.	.	PUNCT
ejpam-3634	90	1	,	,	PUNCT
ejpam-3634	90	2	tn	tn	PROPN
ejpam-3634	90	3	(	(	PUNCT
ejpam-3634	90	4	xn	xn	PROPN
ejpam-3634	90	5	)	)	PUNCT
ejpam-3634	90	6	}	}	PUNCT
ejpam-3634	90	7	,	,	PUNCT
ejpam-3634	90	8	in	in	ADP
ejpam-3634	90	9	(	(	PUNCT
ejpam-3634	90	10	f(xn1	f(xn1	PROPN
ejpam-3634	90	11	)	)	PUNCT
ejpam-3634	90	12	)	)	PUNCT
ejpam-3634	90	13	≥	≥	X
ejpam-3634	91	1	∧	∧	NOUN
ejpam-3634	91	2	{	{	PUNCT
ejpam-3634	91	3	in	in	ADP
ejpam-3634	91	4	(	(	PUNCT
ejpam-3634	91	5	x1	x1	PROPN
ejpam-3634	91	6	)	)	PUNCT
ejpam-3634	91	7	,	,	PUNCT
ejpam-3634	91	8	.	.	PUNCT
ejpam-3634	91	9	.	.	PUNCT
ejpam-3634	91	10	.	.	PUNCT
ejpam-3634	92	1	,	,	PUNCT
ejpam-3634	92	2	in	in	ADP
ejpam-3634	92	3	(	(	PUNCT
ejpam-3634	92	4	xn	xn	PROPN
ejpam-3634	92	5	)	)	PUNCT
ejpam-3634	92	6	}	}	PUNCT
ejpam-3634	92	7	,	,	PUNCT
ejpam-3634	92	8	fn	fn	INTJ
ejpam-3634	92	9	(	(	PUNCT
ejpam-3634	92	10	f(xn1	f(xn1	PROPN
ejpam-3634	92	11	)	)	PUNCT
ejpam-3634	92	12	)	)	PUNCT
ejpam-3634	92	13	≤	≤	NUM
ejpam-3634	92	14	∨	∨	NUM
ejpam-3634	92	15	{	{	PUNCT
ejpam-3634	92	16	fn	fn	PROPN
ejpam-3634	92	17	(	(	PUNCT
ejpam-3634	92	18	x1	x1	PROPN
ejpam-3634	92	19	)	)	PUNCT
ejpam-3634	92	20	,	,	PUNCT
ejpam-3634	92	21	.	.	PUNCT
ejpam-3634	92	22	.	.	PUNCT
ejpam-3634	92	23	.	.	PUNCT
ejpam-3634	93	1	,	,	PUNCT
ejpam-3634	93	2	fn	fn	INTJ
ejpam-3634	93	3	(	(	PUNCT
ejpam-3634	93	4	xn	xn	PROPN
ejpam-3634	93	5	)	)	PUNCT
ejpam-3634	93	6	}	}	PUNCT
ejpam-3634	93	7	,	,	PUNCT
ejpam-3634	93	8	for	for	ADP
ejpam-3634	93	9	all	all	DET
ejpam-3634	93	10	x1	x1	PROPN
ejpam-3634	93	11	,	,	PUNCT
ejpam-3634	93	12	x2	x2	PROPN
ejpam-3634	93	13	,	,	PUNCT
ejpam-3634	93	14	.	.	PUNCT
ejpam-3634	93	15	.	.	PUNCT
ejpam-3634	94	1	.	.	PUNCT
ejpam-3634	95	1	,	,	PUNCT
ejpam-3634	95	2	xn	xn	PROPN
ejpam-3634	95	3	∈	∈	PROPN
ejpam-3634	95	4	x.	x.	NOUN
ejpam-3634	95	5	theorem	theorem	VERB
ejpam-3634	95	6	1	1	X
ejpam-3634	95	7	.	.	PUNCT
ejpam-3634	96	1	let	let	VERB
ejpam-3634	96	2	xn	xn	PUNCT
ejpam-3634	96	3	be	be	AUX
ejpam-3634	96	4	a	a	DET
ejpam-3634	96	5	neutrosophic	neutrosophic	ADJ
ejpam-3634	96	6	n	n	CCONJ
ejpam-3634	96	7	-	-	PUNCT
ejpam-3634	96	8	ary	ary	PROPN
ejpam-3634	96	9	n	n	NUM
ejpam-3634	96	10	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	96	11	of	of	ADP
ejpam-3634	96	12	an	an	DET
ejpam-3634	96	13	n	n	CCONJ
ejpam-3634	96	14	-	-	PUNCT
ejpam-3634	96	15	ary	ary	ADJ
ejpam-3634	96	16	groupoid	groupoid	PROPN
ejpam-3634	96	17	x	x	PUNCT
ejpam-3634	96	18	and	and	CCONJ
ejpam-3634	96	19	let	let	VERB
ejpam-3634	96	20	α	α	PRON
ejpam-3634	96	21	,	,	PUNCT
ejpam-3634	96	22	β	β	X
ejpam-3634	96	23	,	,	PUNCT
ejpam-3634	96	24	γ	γ	PROPN
ejpam-3634	96	25	∈	∈	PROPN
ejpam-3634	97	1	[	[	X
ejpam-3634	97	2	−1	−1	NOUN
ejpam-3634	97	3	,	,	PUNCT
ejpam-3634	97	4	0	0	NUM
ejpam-3634	97	5	]	]	PUNCT
ejpam-3634	97	6	.	.	PUNCT
ejpam-3634	98	1	if	if	SCONJ
ejpam-3634	98	2	the	the	DET
ejpam-3634	98	3	(	(	PUNCT
ejpam-3634	98	4	α	α	NOUN
ejpam-3634	98	5	,	,	PUNCT
ejpam-3634	98	6	β	β	X
ejpam-3634	98	7	,	,	PUNCT
ejpam-3634	98	8	γ)-level	γ)-level	VERB
ejpam-3634	98	9	set	set	VERB
ejpam-3634	98	10	of	of	ADP
ejpam-3634	98	11	xn	xn	PROPN
ejpam-3634	98	12	is	be	AUX
ejpam-3634	98	13	nonempty	nonempty	ADJ
ejpam-3634	98	14	,	,	PUNCT
ejpam-3634	98	15	then	then	ADV
ejpam-3634	98	16	it	it	PRON
ejpam-3634	98	17	is	be	AUX
ejpam-3634	98	18	an	an	DET
ejpam-3634	98	19	n	n	CCONJ
ejpam-3634	98	20	-	-	PUNCT
ejpam-3634	98	21	ary	ary	NOUN
ejpam-3634	98	22	subgroupoid	subgroupoid	NOUN
ejpam-3634	98	23	of	of	ADP
ejpam-3634	98	24	x.	x.	PROPN
ejpam-3634	98	25	a.	a.	PROPN
ejpam-3634	98	26	rattana	rattana	PROPN
ejpam-3634	98	27	,	,	PUNCT
ejpam-3634	98	28	r.	r.	PROPN
ejpam-3634	98	29	chinram	chinram	PROPN
ejpam-3634	98	30	/	/	SYM
ejpam-3634	98	31	eur	eur	PROPN
ejpam-3634	98	32	.	.	PUNCT
ejpam-3634	99	1	j.	j.	PROPN
ejpam-3634	99	2	pure	pure	PROPN
ejpam-3634	99	3	appl	appl	PROPN
ejpam-3634	99	4	.	.	PROPN
ejpam-3634	99	5	math	math	PROPN
ejpam-3634	99	6	,	,	PUNCT
ejpam-3634	99	7	13	13	NUM
ejpam-3634	99	8	(	(	PUNCT
ejpam-3634	99	9	2	2	NUM
ejpam-3634	99	10	)	)	PUNCT
ejpam-3634	99	11	(	(	PUNCT
ejpam-3634	99	12	2020	2020	NUM
ejpam-3634	99	13	)	)	PUNCT
ejpam-3634	99	14	,	,	PUNCT
ejpam-3634	99	15	200	200	NUM
ejpam-3634	99	16	-	-	SYM
ejpam-3634	99	17	215	215	NUM
ejpam-3634	99	18	204	204	NUM
ejpam-3634	99	19	proof	proof	NOUN
ejpam-3634	99	20	.	.	PUNCT
ejpam-3634	100	1	let	let	VERB
ejpam-3634	100	2	x1	x1	NUM
ejpam-3634	100	3	,	,	PUNCT
ejpam-3634	100	4	.	.	PUNCT
ejpam-3634	100	5	.	.	PUNCT
ejpam-3634	101	1	.	.	PUNCT
ejpam-3634	102	1	,	,	PUNCT
ejpam-3634	102	2	xn	xn	PROPN
ejpam-3634	102	3	∈	∈	PROPN
ejpam-3634	102	4	xn	xn	PROPN
ejpam-3634	103	1	(	(	PUNCT
ejpam-3634	103	2	α	α	X
ejpam-3634	103	3	,	,	PUNCT
ejpam-3634	103	4	β	β	X
ejpam-3634	103	5	,	,	PUNCT
ejpam-3634	103	6	γ	γ	NOUN
ejpam-3634	103	7	)	)	PUNCT
ejpam-3634	103	8	.	.	PUNCT
ejpam-3634	104	1	then	then	ADV
ejpam-3634	104	2	tn	tn	PROPN
ejpam-3634	104	3	(	(	PUNCT
ejpam-3634	104	4	x1	x1	PROPN
ejpam-3634	104	5	)	)	PUNCT
ejpam-3634	104	6	≤	≤	NOUN
ejpam-3634	104	7	α	α	X
ejpam-3634	104	8	,	,	PUNCT
ejpam-3634	104	9	in	in	ADP
ejpam-3634	104	10	(	(	PUNCT
ejpam-3634	104	11	x1	x1	PROPN
ejpam-3634	104	12	)	)	PUNCT
ejpam-3634	104	13	≥	≥	PROPN
ejpam-3634	104	14	β	β	X
ejpam-3634	104	15	,	,	PUNCT
ejpam-3634	104	16	fn	fn	PROPN
ejpam-3634	104	17	(	(	PUNCT
ejpam-3634	104	18	x1	x1	PROPN
ejpam-3634	104	19	)	)	PUNCT
ejpam-3634	104	20	≤	≤	NUM
ejpam-3634	104	21	γ	γ	PROPN
ejpam-3634	104	22	,	,	PUNCT
ejpam-3634	104	23	.	.	PUNCT
ejpam-3634	104	24	.	.	PUNCT
ejpam-3634	104	25	.	.	PUNCT
ejpam-3634	105	1	,	,	PUNCT
ejpam-3634	105	2	tn	tn	PROPN
ejpam-3634	105	3	(	(	PUNCT
ejpam-3634	105	4	xn	xn	PROPN
ejpam-3634	105	5	)	)	PUNCT
ejpam-3634	105	6	≤	≤	NOUN
ejpam-3634	106	1	α	α	X
ejpam-3634	106	2	,	,	PUNCT
ejpam-3634	106	3	in	in	ADP
ejpam-3634	106	4	(	(	PUNCT
ejpam-3634	106	5	xn	xn	PROPN
ejpam-3634	106	6	)	)	PUNCT
ejpam-3634	106	7	≥	≥	NOUN
ejpam-3634	106	8	β	β	X
ejpam-3634	106	9	,	,	PUNCT
ejpam-3634	106	10	fn	fn	PROPN
ejpam-3634	106	11	(	(	PUNCT
ejpam-3634	106	12	xn	xn	PROPN
ejpam-3634	106	13	)	)	PUNCT
ejpam-3634	106	14	≤	≤	NUM
ejpam-3634	106	15	γ	γ	X
ejpam-3634	106	16	.	.	PUNCT
ejpam-3634	107	1	it	it	PRON
ejpam-3634	107	2	follows	follow	VERB
ejpam-3634	107	3	that	that	SCONJ
ejpam-3634	107	4	tn	tn	PROPN
ejpam-3634	107	5	(	(	PUNCT
ejpam-3634	107	6	f(xn1	f(xn1	PROPN
ejpam-3634	107	7	)	)	PUNCT
ejpam-3634	107	8	)	)	PUNCT
ejpam-3634	107	9	≤	≤	NUM
ejpam-3634	107	10	∨	∨	NUM
ejpam-3634	107	11	{	{	PUNCT
ejpam-3634	107	12	tn	tn	PROPN
ejpam-3634	107	13	(	(	PUNCT
ejpam-3634	107	14	x1	x1	PROPN
ejpam-3634	107	15	)	)	PUNCT
ejpam-3634	107	16	,	,	PUNCT
ejpam-3634	107	17	.	.	PUNCT
ejpam-3634	107	18	.	.	PUNCT
ejpam-3634	107	19	.	.	PUNCT
ejpam-3634	108	1	,	,	PUNCT
ejpam-3634	108	2	tn	tn	PROPN
ejpam-3634	108	3	(	(	PUNCT
ejpam-3634	108	4	xn	xn	PROPN
ejpam-3634	108	5	)	)	PUNCT
ejpam-3634	108	6	}	}	PUNCT
ejpam-3634	108	7	≤	≤	NUM
ejpam-3634	109	1	α	α	X
ejpam-3634	109	2	,	,	PUNCT
ejpam-3634	109	3	in	in	ADP
ejpam-3634	109	4	(	(	PUNCT
ejpam-3634	109	5	f(xn1	f(xn1	PROPN
ejpam-3634	109	6	)	)	PUNCT
ejpam-3634	109	7	)	)	PUNCT
ejpam-3634	109	8	≥	≥	X
ejpam-3634	109	9	∧	∧	NOUN
ejpam-3634	109	10	{	{	PUNCT
ejpam-3634	109	11	in	in	ADP
ejpam-3634	109	12	(	(	PUNCT
ejpam-3634	109	13	x1	x1	PROPN
ejpam-3634	109	14	)	)	PUNCT
ejpam-3634	109	15	,	,	PUNCT
ejpam-3634	109	16	.	.	PUNCT
ejpam-3634	109	17	.	.	PUNCT
ejpam-3634	109	18	.	.	PUNCT
ejpam-3634	110	1	,	,	PUNCT
ejpam-3634	110	2	in	in	ADP
ejpam-3634	110	3	(	(	PUNCT
ejpam-3634	110	4	xn	xn	NOUN
ejpam-3634	110	5	)	)	PUNCT
ejpam-3634	110	6	}	}	PUNCT
ejpam-3634	110	7	≥	≥	VERB
ejpam-3634	110	8	β	β	X
ejpam-3634	110	9	,	,	PUNCT
ejpam-3634	110	10	fn	fn	INTJ
ejpam-3634	110	11	(	(	PUNCT
ejpam-3634	110	12	f(xn1	f(xn1	PROPN
ejpam-3634	110	13	)	)	PUNCT
ejpam-3634	110	14	)	)	PUNCT
ejpam-3634	110	15	≤	≤	NUM
ejpam-3634	110	16	∨	∨	NUM
ejpam-3634	110	17	{	{	PUNCT
ejpam-3634	110	18	fn	fn	PROPN
ejpam-3634	110	19	(	(	PUNCT
ejpam-3634	110	20	x1	x1	PROPN
ejpam-3634	110	21	)	)	PUNCT
ejpam-3634	110	22	,	,	PUNCT
ejpam-3634	110	23	.	.	PUNCT
ejpam-3634	110	24	.	.	PUNCT
ejpam-3634	110	25	.	.	PUNCT
ejpam-3634	111	1	,	,	PUNCT
ejpam-3634	111	2	fn	fn	INTJ
ejpam-3634	111	3	(	(	PUNCT
ejpam-3634	111	4	xn	xn	NOUN
ejpam-3634	111	5	)	)	PUNCT
ejpam-3634	111	6	}	}	PUNCT
ejpam-3634	111	7	≤	≤	NUM
ejpam-3634	111	8	γ	γ	X
ejpam-3634	111	9	.	.	PROPN
ejpam-3634	111	10	therefore	therefore	ADV
ejpam-3634	111	11	f(xn1	f(xn1	PROPN
ejpam-3634	111	12	)	)	PUNCT
ejpam-3634	111	13	∈	∈	PROPN
ejpam-3634	111	14	xn	xn	PROPN
ejpam-3634	112	1	(	(	PUNCT
ejpam-3634	112	2	α	α	X
ejpam-3634	112	3	,	,	PUNCT
ejpam-3634	112	4	β	β	X
ejpam-3634	112	5	,	,	PUNCT
ejpam-3634	112	6	γ	γ	NOUN
ejpam-3634	112	7	)	)	PUNCT
ejpam-3634	112	8	.	.	PUNCT
ejpam-3634	113	1	this	this	PRON
ejpam-3634	113	2	implies	imply	VERB
ejpam-3634	113	3	that	that	SCONJ
ejpam-3634	113	4	xn	xn	PROPN
ejpam-3634	113	5	(	(	PUNCT
ejpam-3634	113	6	α	α	X
ejpam-3634	113	7	,	,	PUNCT
ejpam-3634	113	8	β	β	X
ejpam-3634	113	9	,	,	PUNCT
ejpam-3634	113	10	γ	γ	X
ejpam-3634	113	11	)	)	PUNCT
ejpam-3634	113	12	is	be	AUX
ejpam-3634	113	13	an	an	DET
ejpam-3634	113	14	n	n	CCONJ
ejpam-3634	113	15	-	-	PUNCT
ejpam-3634	113	16	ary	ary	NOUN
ejpam-3634	113	17	subgroupoid	subgroupoid	NOUN
ejpam-3634	113	18	of	of	ADP
ejpam-3634	113	19	x.	x.	PROPN
ejpam-3634	113	20	theorem	theorem	VERB
ejpam-3634	113	21	2	2	X
ejpam-3634	113	22	.	.	PUNCT
ejpam-3634	114	1	let	let	VERB
ejpam-3634	114	2	xn	xn	PUNCT
ejpam-3634	114	3	be	be	AUX
ejpam-3634	114	4	a	a	DET
ejpam-3634	114	5	neutrosophic	neutrosophic	ADJ
ejpam-3634	114	6	n	n	SYM
ejpam-3634	114	7	-structure	-structure	NOUN
ejpam-3634	114	8	over	over	ADP
ejpam-3634	114	9	an	an	DET
ejpam-3634	114	10	n	n	CCONJ
ejpam-3634	114	11	-	-	PUNCT
ejpam-3634	114	12	ary	ary	NOUN
ejpam-3634	114	13	groupoid	groupoid	PROPN
ejpam-3634	114	14	x.	x.	NOUN
ejpam-3634	114	15	if	if	SCONJ
ejpam-3634	114	16	tαn	tαn	PROPN
ejpam-3634	114	17	,	,	PUNCT
ejpam-3634	114	18	i	i	PRON
ejpam-3634	114	19	β	β	X
ejpam-3634	114	20	n	n	NOUN
ejpam-3634	114	21	and	and	CCONJ
ejpam-3634	114	22	f	f	PROPN
ejpam-3634	114	23	γn	γn	NOUN
ejpam-3634	114	24	are	be	AUX
ejpam-3634	114	25	n	n	PRON
ejpam-3634	114	26	-	-	PUNCT
ejpam-3634	114	27	ary	ary	PROPN
ejpam-3634	114	28	subgroupoids	subgroupoid	NOUN
ejpam-3634	114	29	of	of	ADP
ejpam-3634	114	30	x	x	PUNCT
ejpam-3634	114	31	for	for	ADP
ejpam-3634	114	32	all	all	DET
ejpam-3634	114	33	α	α	NOUN
ejpam-3634	114	34	,	,	PUNCT
ejpam-3634	114	35	β	β	X
ejpam-3634	114	36	,	,	PUNCT
ejpam-3634	114	37	γ	γ	PROPN
ejpam-3634	114	38	∈	∈	PROPN
ejpam-3634	115	1	[	[	X
ejpam-3634	115	2	−1	−1	NOUN
ejpam-3634	115	3	,	,	PUNCT
ejpam-3634	115	4	0	0	NUM
ejpam-3634	115	5	]	]	PUNCT
ejpam-3634	115	6	,	,	PUNCT
ejpam-3634	115	7	then	then	ADV
ejpam-3634	115	8	xn	xn	PROPN
ejpam-3634	115	9	is	be	AUX
ejpam-3634	115	10	a	a	DET
ejpam-3634	115	11	neutrosophic	neutrosophic	ADJ
ejpam-3634	115	12	n	n	CCONJ
ejpam-3634	115	13	-	-	PUNCT
ejpam-3634	115	14	ary	ary	PROPN
ejpam-3634	115	15	n	n	NUM
ejpam-3634	115	16	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	115	17	of	of	ADP
ejpam-3634	115	18	x.	x.	NOUN
ejpam-3634	115	19	proof	proof	NOUN
ejpam-3634	115	20	.	.	PUNCT
ejpam-3634	116	1	we	we	PRON
ejpam-3634	116	2	prove	prove	VERB
ejpam-3634	116	3	this	this	DET
ejpam-3634	116	4	theorem	theorem	NOUN
ejpam-3634	116	5	by	by	ADP
ejpam-3634	116	6	contradiction	contradiction	NOUN
ejpam-3634	116	7	.	.	PUNCT
ejpam-3634	117	1	assume	assume	VERB
ejpam-3634	117	2	that	that	SCONJ
ejpam-3634	117	3	there	there	PRON
ejpam-3634	117	4	exist	exist	VERB
ejpam-3634	117	5	x1	x1	PROPN
ejpam-3634	117	6	,	,	PUNCT
ejpam-3634	117	7	.	.	PUNCT
ejpam-3634	117	8	.	.	PUNCT
ejpam-3634	118	1	.	.	PUNCT
ejpam-3634	119	1	,	,	PUNCT
ejpam-3634	119	2	xn	xn	PUNCT
ejpam-3634	119	3	∈	∈	PROPN
ejpam-3634	119	4	x	x	PUNCT
ejpam-3634	119	5	such	such	ADJ
ejpam-3634	119	6	that	that	PRON
ejpam-3634	119	7	tn	tn	PROPN
ejpam-3634	119	8	(	(	PUNCT
ejpam-3634	119	9	f(xn1	f(xn1	PROPN
ejpam-3634	119	10	)	)	PUNCT
ejpam-3634	119	11	)	)	PUNCT
ejpam-3634	119	12	>	>	PUNCT
ejpam-3634	119	13	∨	∨	X
ejpam-3634	119	14	{	{	PUNCT
ejpam-3634	119	15	tn	tn	PROPN
ejpam-3634	119	16	(	(	PUNCT
ejpam-3634	119	17	x1	x1	PROPN
ejpam-3634	119	18	)	)	PUNCT
ejpam-3634	119	19	,	,	PUNCT
ejpam-3634	119	20	.	.	PUNCT
ejpam-3634	119	21	.	.	PUNCT
ejpam-3634	119	22	.	.	PUNCT
ejpam-3634	120	1	,	,	PUNCT
ejpam-3634	120	2	tn	tn	PROPN
ejpam-3634	120	3	(	(	PUNCT
ejpam-3634	120	4	xn	xn	PROPN
ejpam-3634	120	5	)	)	PUNCT
ejpam-3634	120	6	}	}	PUNCT
ejpam-3634	120	7	.	.	PUNCT
ejpam-3634	121	1	then	then	ADV
ejpam-3634	121	2	tn	tn	PROPN
ejpam-3634	121	3	(	(	PUNCT
ejpam-3634	121	4	f(xn1	f(xn1	PROPN
ejpam-3634	121	5	)	)	PUNCT
ejpam-3634	121	6	)	)	PUNCT
ejpam-3634	121	7	>	>	PUNCT
ejpam-3634	122	1	tα	tα	PROPN
ejpam-3634	122	2	≥	≥	PROPN
ejpam-3634	122	3	∨	∨	NUM
ejpam-3634	122	4	{	{	PUNCT
ejpam-3634	122	5	tn	tn	PROPN
ejpam-3634	122	6	(	(	PUNCT
ejpam-3634	122	7	x1	x1	PROPN
ejpam-3634	122	8	)	)	PUNCT
ejpam-3634	122	9	,	,	PUNCT
ejpam-3634	122	10	.	.	PUNCT
ejpam-3634	122	11	.	.	PUNCT
ejpam-3634	123	1	.	.	PUNCT
ejpam-3634	124	1	,	,	PUNCT
ejpam-3634	124	2	tn	tn	PROPN
ejpam-3634	124	3	(	(	PUNCT
ejpam-3634	124	4	xn	xn	PROPN
ejpam-3634	124	5	)	)	PUNCT
ejpam-3634	124	6	}	}	PUNCT
ejpam-3634	124	7	for	for	ADP
ejpam-3634	124	8	some	some	DET
ejpam-3634	124	9	tα	tα	PROPN
ejpam-3634	124	10	∈	∈	PROPN
ejpam-3634	125	1	[	[	X
ejpam-3634	125	2	−1	−1	NOUN
ejpam-3634	125	3	,	,	PUNCT
ejpam-3634	125	4	0	0	NUM
ejpam-3634	125	5	)	)	PUNCT
ejpam-3634	125	6	.	.	PUNCT
ejpam-3634	126	1	thus	thus	ADV
ejpam-3634	126	2	x1	x1	NUM
ejpam-3634	126	3	,	,	PUNCT
ejpam-3634	126	4	.	.	PUNCT
ejpam-3634	126	5	.	.	PUNCT
ejpam-3634	126	6	.	.	PUNCT
ejpam-3634	127	1	,	,	PUNCT
ejpam-3634	127	2	xn	xn	PROPN
ejpam-3634	127	3	∈	∈	PROPN
ejpam-3634	127	4	t	t	PROPN
ejpam-3634	127	5	tαn	tαn	NOUN
ejpam-3634	127	6	but	but	CCONJ
ejpam-3634	127	7	f(xn1	f(xn1	PROPN
ejpam-3634	127	8	)	)	PUNCT
ejpam-3634	127	9	/∈	/∈	PROPN
ejpam-3634	128	1	t	t	PROPN
ejpam-3634	128	2	tαn	tαn	NOUN
ejpam-3634	128	3	,	,	PUNCT
ejpam-3634	128	4	which	which	PRON
ejpam-3634	128	5	is	be	AUX
ejpam-3634	128	6	a	a	DET
ejpam-3634	128	7	contradiction	contradiction	NOUN
ejpam-3634	128	8	.	.	PUNCT
ejpam-3634	129	1	thus	thus	ADV
ejpam-3634	129	2	tn	tn	PROPN
ejpam-3634	129	3	(	(	PUNCT
ejpam-3634	129	4	f(xn1	f(xn1	PROPN
ejpam-3634	129	5	)	)	PUNCT
ejpam-3634	129	6	)	)	PUNCT
ejpam-3634	129	7	≤	≤	NUM
ejpam-3634	129	8	∨	∨	NUM
ejpam-3634	129	9	{	{	PUNCT
ejpam-3634	129	10	tn	tn	PROPN
ejpam-3634	129	11	(	(	PUNCT
ejpam-3634	129	12	x1	x1	PROPN
ejpam-3634	129	13	)	)	PUNCT
ejpam-3634	129	14	,	,	PUNCT
ejpam-3634	129	15	.	.	PUNCT
ejpam-3634	129	16	.	.	PUNCT
ejpam-3634	129	17	.	.	PUNCT
ejpam-3634	130	1	,	,	PUNCT
ejpam-3634	130	2	tn	tn	PROPN
ejpam-3634	130	3	(	(	PUNCT
ejpam-3634	130	4	xn	xn	PROPN
ejpam-3634	130	5	)	)	PUNCT
ejpam-3634	130	6	}	}	PUNCT
ejpam-3634	130	7	for	for	ADP
ejpam-3634	130	8	all	all	DET
ejpam-3634	130	9	x1	x1	PROPN
ejpam-3634	130	10	,	,	PUNCT
ejpam-3634	130	11	.	.	PUNCT
ejpam-3634	130	12	.	.	PUNCT
ejpam-3634	131	1	.	.	PUNCT
ejpam-3634	132	1	,	,	PUNCT
ejpam-3634	132	2	xn	xn	PUNCT
ejpam-3634	132	3	∈	∈	PROPN
ejpam-3634	132	4	x.	x.	NOUN
ejpam-3634	133	1	we	we	PRON
ejpam-3634	133	2	now	now	ADV
ejpam-3634	133	3	assume	assume	VERB
ejpam-3634	133	4	that	that	SCONJ
ejpam-3634	133	5	in	in	ADP
ejpam-3634	133	6	(	(	PUNCT
ejpam-3634	133	7	f(xn1	f(xn1	PROPN
ejpam-3634	133	8	)	)	PUNCT
ejpam-3634	133	9	)	)	PUNCT
ejpam-3634	133	10	<	<	X
ejpam-3634	133	11	∨	∨	X
ejpam-3634	133	12	{	{	PUNCT
ejpam-3634	133	13	in	in	ADP
ejpam-3634	133	14	(	(	PUNCT
ejpam-3634	133	15	x1	x1	PROPN
ejpam-3634	133	16	)	)	PUNCT
ejpam-3634	133	17	,	,	PUNCT
ejpam-3634	133	18	.	.	PUNCT
ejpam-3634	133	19	.	.	PUNCT
ejpam-3634	133	20	.	.	PUNCT
ejpam-3634	134	1	,	,	PUNCT
ejpam-3634	134	2	in	in	ADP
ejpam-3634	134	3	(	(	PUNCT
ejpam-3634	134	4	xn	xn	NOUN
ejpam-3634	134	5	)	)	PUNCT
ejpam-3634	134	6	}	}	PUNCT
ejpam-3634	134	7	for	for	ADP
ejpam-3634	134	8	some	some	DET
ejpam-3634	134	9	x1	x1	PROPN
ejpam-3634	134	10	,	,	PUNCT
ejpam-3634	134	11	.	.	PUNCT
ejpam-3634	134	12	.	.	PUNCT
ejpam-3634	135	1	.	.	PUNCT
ejpam-3634	136	1	,	,	PUNCT
ejpam-3634	136	2	xn	xn	PUNCT
ejpam-3634	136	3	∈	∈	PROPN
ejpam-3634	136	4	x.	x.	NOUN
ejpam-3634	136	5	then	then	ADV
ejpam-3634	136	6	in	in	ADP
ejpam-3634	136	7	(	(	PUNCT
ejpam-3634	136	8	f(xn1	f(xn1	PROPN
ejpam-3634	136	9	)	)	PUNCT
ejpam-3634	136	10	)	)	PUNCT
ejpam-3634	136	11	<	<	X
ejpam-3634	137	1	tβ	tβ	PROPN
ejpam-3634	137	2	≤	≤	ADV
ejpam-3634	137	3	∨	∨	NUM
ejpam-3634	137	4	{	{	PUNCT
ejpam-3634	137	5	in	in	ADP
ejpam-3634	137	6	(	(	PUNCT
ejpam-3634	137	7	x1	x1	PROPN
ejpam-3634	137	8	)	)	PUNCT
ejpam-3634	137	9	,	,	PUNCT
ejpam-3634	137	10	.	.	PUNCT
ejpam-3634	137	11	.	.	PUNCT
ejpam-3634	137	12	.	.	PUNCT
ejpam-3634	138	1	,	,	PUNCT
ejpam-3634	138	2	in	in	ADP
ejpam-3634	138	3	(	(	PUNCT
ejpam-3634	138	4	xn	xn	NOUN
ejpam-3634	138	5	)	)	PUNCT
ejpam-3634	138	6	}	}	PUNCT
ejpam-3634	138	7	for	for	ADP
ejpam-3634	138	8	some	some	DET
ejpam-3634	138	9	tβ	tβ	NOUN
ejpam-3634	138	10	∈	∈	PROPN
ejpam-3634	139	1	[	[	X
ejpam-3634	139	2	−1	−1	NOUN
ejpam-3634	139	3	,	,	PUNCT
ejpam-3634	139	4	0	0	NUM
ejpam-3634	139	5	)	)	PUNCT
ejpam-3634	139	6	.	.	PUNCT
ejpam-3634	140	1	thus	thus	ADV
ejpam-3634	140	2	x1	x1	NUM
ejpam-3634	140	3	,	,	PUNCT
ejpam-3634	140	4	.	.	PUNCT
ejpam-3634	140	5	.	.	PUNCT
ejpam-3634	140	6	.	.	PUNCT
ejpam-3634	141	1	,	,	PUNCT
ejpam-3634	141	2	xn	xn	PUNCT
ejpam-3634	141	3	∈	∈	PROPN
ejpam-3634	142	1	i	i	PRON
ejpam-3634	142	2	tβ	tβ	VERB
ejpam-3634	142	3	n	n	NOUN
ejpam-3634	142	4	but	but	CCONJ
ejpam-3634	142	5	f(xn1	f(xn1	PROPN
ejpam-3634	142	6	)	)	PUNCT
ejpam-3634	142	7	/∈	/∈	PUNCT
ejpam-3634	143	1	i	i	PRON
ejpam-3634	143	2	tβ	tβ	VERB
ejpam-3634	143	3	n	n	ADV
ejpam-3634	143	4	.	.	PUNCT
ejpam-3634	144	1	this	this	PRON
ejpam-3634	144	2	is	be	AUX
ejpam-3634	144	3	a	a	DET
ejpam-3634	144	4	contradiction	contradiction	NOUN
ejpam-3634	144	5	.	.	PUNCT
ejpam-3634	145	1	hence	hence	ADV
ejpam-3634	145	2	in	in	ADP
ejpam-3634	145	3	(	(	PUNCT
ejpam-3634	145	4	f(xn1	f(xn1	PROPN
ejpam-3634	145	5	)	)	PUNCT
ejpam-3634	145	6	)	)	PUNCT
ejpam-3634	145	7	≥	≥	X
ejpam-3634	146	1	∧	∧	NOUN
ejpam-3634	146	2	{	{	PUNCT
ejpam-3634	146	3	in	in	ADP
ejpam-3634	146	4	(	(	PUNCT
ejpam-3634	146	5	x1	x1	PROPN
ejpam-3634	146	6	)	)	PUNCT
ejpam-3634	146	7	,	,	PUNCT
ejpam-3634	146	8	.	.	PUNCT
ejpam-3634	146	9	.	.	PUNCT
ejpam-3634	146	10	.	.	PUNCT
ejpam-3634	147	1	,	,	PUNCT
ejpam-3634	147	2	in	in	ADP
ejpam-3634	147	3	(	(	PUNCT
ejpam-3634	147	4	xn	xn	NOUN
ejpam-3634	147	5	)	)	PUNCT
ejpam-3634	147	6	}	}	PUNCT
ejpam-3634	147	7	for	for	ADP
ejpam-3634	147	8	all	all	DET
ejpam-3634	147	9	x1	x1	PROPN
ejpam-3634	147	10	,	,	PUNCT
ejpam-3634	147	11	.	.	PUNCT
ejpam-3634	147	12	.	.	PUNCT
ejpam-3634	148	1	.	.	PUNCT
ejpam-3634	149	1	,	,	PUNCT
ejpam-3634	149	2	xn	xn	PUNCT
ejpam-3634	149	3	∈	∈	PROPN
ejpam-3634	149	4	x.	x.	NOUN
ejpam-3634	150	1	it	it	PRON
ejpam-3634	150	2	remains	remain	VERB
ejpam-3634	150	3	to	to	PART
ejpam-3634	150	4	prove	prove	VERB
ejpam-3634	150	5	that	that	SCONJ
ejpam-3634	150	6	fn	fn	INTJ
ejpam-3634	150	7	(	(	PUNCT
ejpam-3634	150	8	f(xn1	f(xn1	PROPN
ejpam-3634	150	9	)	)	PUNCT
ejpam-3634	150	10	)	)	PUNCT
ejpam-3634	150	11	≤	≤	NUM
ejpam-3634	150	12	∨	∨	NUM
ejpam-3634	150	13	{	{	PUNCT
ejpam-3634	150	14	fn	fn	PROPN
ejpam-3634	150	15	(	(	PUNCT
ejpam-3634	150	16	x1	x1	PROPN
ejpam-3634	150	17	)	)	PUNCT
ejpam-3634	150	18	,	,	PUNCT
ejpam-3634	150	19	.	.	PUNCT
ejpam-3634	150	20	.	.	PUNCT
ejpam-3634	151	1	.	.	PUNCT
ejpam-3634	152	1	,	,	PUNCT
ejpam-3634	152	2	fn	fn	INTJ
ejpam-3634	152	3	(	(	PUNCT
ejpam-3634	152	4	xn	xn	PROPN
ejpam-3634	152	5	)	)	PUNCT
ejpam-3634	152	6	}	}	PUNCT
ejpam-3634	152	7	for	for	ADP
ejpam-3634	152	8	all	all	DET
ejpam-3634	152	9	x1	x1	PROPN
ejpam-3634	152	10	,	,	PUNCT
ejpam-3634	152	11	.	.	PUNCT
ejpam-3634	152	12	.	.	PUNCT
ejpam-3634	153	1	.	.	PUNCT
ejpam-3634	154	1	,	,	PUNCT
ejpam-3634	154	2	xn	xn	PUNCT
ejpam-3634	154	3	∈	∈	PROPN
ejpam-3634	154	4	x.	x.	NOUN
ejpam-3634	154	5	suppose	suppose	VERB
ejpam-3634	154	6	contrary	contrary	ADV
ejpam-3634	154	7	to	to	ADP
ejpam-3634	154	8	our	our	PRON
ejpam-3634	154	9	claim	claim	NOUN
ejpam-3634	154	10	that	that	SCONJ
ejpam-3634	154	11	there	there	PRON
ejpam-3634	154	12	are	be	VERB
ejpam-3634	154	13	x1	x1	PROPN
ejpam-3634	154	14	,	,	PUNCT
ejpam-3634	154	15	.	.	PUNCT
ejpam-3634	154	16	.	.	PUNCT
ejpam-3634	155	1	.	.	PUNCT
ejpam-3634	156	1	,	,	PUNCT
ejpam-3634	156	2	xn	xn	PUNCT
ejpam-3634	156	3	∈	∈	PROPN
ejpam-3634	156	4	x	x	PUNCT
ejpam-3634	156	5	such	such	ADJ
ejpam-3634	156	6	that	that	DET
ejpam-3634	156	7	fn	fn	PROPN
ejpam-3634	156	8	(	(	PUNCT
ejpam-3634	156	9	f(xn1	f(xn1	PROPN
ejpam-3634	156	10	)	)	PUNCT
ejpam-3634	156	11	)	)	PUNCT
ejpam-3634	156	12	>	>	PUNCT
ejpam-3634	157	1	∨	∨	X
ejpam-3634	157	2	{	{	PUNCT
ejpam-3634	157	3	fn	fn	PROPN
ejpam-3634	157	4	(	(	PUNCT
ejpam-3634	157	5	x1	x1	PROPN
ejpam-3634	157	6	)	)	PUNCT
ejpam-3634	157	7	,	,	PUNCT
ejpam-3634	157	8	.	.	PUNCT
ejpam-3634	157	9	.	.	PUNCT
ejpam-3634	157	10	.	.	PUNCT
ejpam-3634	158	1	,	,	PUNCT
ejpam-3634	158	2	fn	fn	INTJ
ejpam-3634	158	3	(	(	PUNCT
ejpam-3634	158	4	xn	xn	PROPN
ejpam-3634	158	5	)	)	PUNCT
ejpam-3634	158	6	}	}	PUNCT
ejpam-3634	158	7	.	.	PUNCT
ejpam-3634	159	1	then	then	ADV
ejpam-3634	159	2	fn	fn	INTJ
ejpam-3634	159	3	(	(	PUNCT
ejpam-3634	159	4	f(xn1	f(xn1	PROPN
ejpam-3634	159	5	)	)	PUNCT
ejpam-3634	159	6	)	)	PUNCT
ejpam-3634	159	7	>	>	PUNCT
ejpam-3634	160	1	tγ	tγ	PROPN
ejpam-3634	160	2	≥	≥	PROPN
ejpam-3634	160	3	∨	∨	PROPN
ejpam-3634	160	4	{	{	PUNCT
ejpam-3634	160	5	fn	fn	PROPN
ejpam-3634	160	6	(	(	PUNCT
ejpam-3634	160	7	x1	x1	PROPN
ejpam-3634	160	8	)	)	PUNCT
ejpam-3634	160	9	,	,	PUNCT
ejpam-3634	160	10	.	.	PUNCT
ejpam-3634	160	11	.	.	PUNCT
ejpam-3634	160	12	.	.	PUNCT
ejpam-3634	161	1	,	,	PUNCT
ejpam-3634	161	2	fn	fn	INTJ
ejpam-3634	161	3	(	(	PUNCT
ejpam-3634	161	4	xn	xn	PROPN
ejpam-3634	161	5	)	)	PUNCT
ejpam-3634	161	6	}	}	PUNCT
ejpam-3634	161	7	for	for	ADP
ejpam-3634	161	8	some	some	DET
ejpam-3634	161	9	tγ	tγ	PROPN
ejpam-3634	161	10	∈	∈	PROPN
ejpam-3634	162	1	[	[	X
ejpam-3634	162	2	−1	−1	NOUN
ejpam-3634	162	3	,	,	PUNCT
ejpam-3634	162	4	0	0	NUM
ejpam-3634	162	5	)	)	PUNCT
ejpam-3634	162	6	.	.	PUNCT
ejpam-3634	163	1	thus	thus	ADV
ejpam-3634	163	2	x1	x1	NUM
ejpam-3634	163	3	,	,	PUNCT
ejpam-3634	163	4	.	.	PUNCT
ejpam-3634	163	5	.	.	PUNCT
ejpam-3634	163	6	.	.	PUNCT
ejpam-3634	164	1	,	,	PUNCT
ejpam-3634	164	2	xn	xn	PUNCT
ejpam-3634	165	1	∈	∈	PROPN
ejpam-3634	165	2	f	f	X
ejpam-3634	165	3	tγ	tγ	NOUN
ejpam-3634	165	4	n	n	PROPN
ejpam-3634	165	5	but	but	CCONJ
ejpam-3634	165	6	f(xn1	f(xn1	PROPN
ejpam-3634	165	7	)	)	PUNCT
ejpam-3634	165	8	/∈	/∈	PUNCT
ejpam-3634	166	1	f	f	PROPN
ejpam-3634	166	2	tγn	tγn	INTJ
ejpam-3634	166	3	,	,	PUNCT
ejpam-3634	166	4	which	which	PRON
ejpam-3634	166	5	is	be	AUX
ejpam-3634	166	6	a	a	DET
ejpam-3634	166	7	contradiction	contradiction	NOUN
ejpam-3634	166	8	.	.	PUNCT
ejpam-3634	167	1	therefore	therefore	ADV
ejpam-3634	167	2	xn	xn	PROPN
ejpam-3634	167	3	is	be	AUX
ejpam-3634	167	4	a	a	DET
ejpam-3634	167	5	neutrosophic	neutrosophic	ADJ
ejpam-3634	167	6	n	n	CCONJ
ejpam-3634	167	7	-	-	PUNCT
ejpam-3634	167	8	ary	ary	PROPN
ejpam-3634	167	9	n	n	NUM
ejpam-3634	167	10	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	167	11	of	of	ADP
ejpam-3634	167	12	x.	x.	PROPN
ejpam-3634	167	13	a.	a.	PROPN
ejpam-3634	167	14	rattana	rattana	PROPN
ejpam-3634	167	15	,	,	PUNCT
ejpam-3634	167	16	r.	r.	PROPN
ejpam-3634	167	17	chinram	chinram	PROPN
ejpam-3634	167	18	/	/	SYM
ejpam-3634	167	19	eur	eur	PROPN
ejpam-3634	167	20	.	.	PUNCT
ejpam-3634	168	1	j.	j.	PROPN
ejpam-3634	168	2	pure	pure	PROPN
ejpam-3634	168	3	appl	appl	PROPN
ejpam-3634	168	4	.	.	PROPN
ejpam-3634	168	5	math	math	PROPN
ejpam-3634	168	6	,	,	PUNCT
ejpam-3634	168	7	13	13	NUM
ejpam-3634	168	8	(	(	PUNCT
ejpam-3634	168	9	2	2	NUM
ejpam-3634	168	10	)	)	PUNCT
ejpam-3634	168	11	(	(	PUNCT
ejpam-3634	168	12	2020	2020	NUM
ejpam-3634	168	13	)	)	PUNCT
ejpam-3634	168	14	,	,	PUNCT
ejpam-3634	168	15	200	200	NUM
ejpam-3634	168	16	-	-	SYM
ejpam-3634	168	17	215	215	NUM
ejpam-3634	168	18	205	205	NUM
ejpam-3634	168	19	theorem	theorem	NOUN
ejpam-3634	168	20	3	3	X
ejpam-3634	168	21	.	.	PUNCT
ejpam-3634	169	1	let	let	VERB
ejpam-3634	169	2	xn	xn	PROPN
ejpam-3634	170	1	:	:	PUNCT
ejpam-3634	170	2	=	=	SYM
ejpam-3634	170	3	x	x	X
ejpam-3634	170	4	(	(	PUNCT
ejpam-3634	170	5	tn	tn	NOUN
ejpam-3634	170	6	,	,	PUNCT
ejpam-3634	170	7	in	in	ADP
ejpam-3634	170	8	,	,	PUNCT
ejpam-3634	170	9	fn	fn	NOUN
ejpam-3634	170	10	)	)	PUNCT
ejpam-3634	170	11	and	and	CCONJ
ejpam-3634	170	12	xm	xm	NUM
ejpam-3634	170	13	:	:	PUNCT
ejpam-3634	170	14	=	=	SYM
ejpam-3634	170	15	x	x	X
ejpam-3634	170	16	(	(	PUNCT
ejpam-3634	170	17	tm	tm	NOUN
ejpam-3634	170	18	,	,	PUNCT
ejpam-3634	170	19	i	i	PRON
ejpam-3634	170	20	m	m	VERB
ejpam-3634	170	21	,	,	PUNCT
ejpam-3634	170	22	fm	fm	PROPN
ejpam-3634	170	23	)	)	PUNCT
ejpam-3634	170	24	be	be	AUX
ejpam-3634	170	25	two	two	NUM
ejpam-3634	170	26	neutrosophic	neutrosophic	ADJ
ejpam-3634	170	27	n	n	CCONJ
ejpam-3634	170	28	-	-	PUNCT
ejpam-3634	170	29	ary	ary	NOUN
ejpam-3634	170	30	n	n	PRON
ejpam-3634	170	31	-subgroupoids	-subgroupoid	NOUN
ejpam-3634	170	32	over	over	ADP
ejpam-3634	170	33	x.	x.	NOUN
ejpam-3634	171	1	then	then	ADV
ejpam-3634	171	2	xn∩m	xn∩m	PRON
ejpam-3634	171	3	is	be	AUX
ejpam-3634	171	4	also	also	ADV
ejpam-3634	171	5	a	a	DET
ejpam-3634	171	6	neutrosophic	neutrosophic	ADJ
ejpam-3634	171	7	n	n	CCONJ
ejpam-3634	171	8	-	-	PUNCT
ejpam-3634	171	9	ary	ary	PROPN
ejpam-3634	171	10	n	n	NUM
ejpam-3634	171	11	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	171	12	of	of	ADP
ejpam-3634	171	13	x.	x.	NOUN
ejpam-3634	171	14	proof	proof	NOUN
ejpam-3634	171	15	.	.	PUNCT
ejpam-3634	172	1	let	let	VERB
ejpam-3634	172	2	x1	x1	NUM
ejpam-3634	172	3	,	,	PUNCT
ejpam-3634	172	4	.	.	PUNCT
ejpam-3634	172	5	.	.	PUNCT
ejpam-3634	173	1	.	.	PUNCT
ejpam-3634	174	1	,	,	PUNCT
ejpam-3634	174	2	xn	xn	PUNCT
ejpam-3634	174	3	∈	∈	PROPN
ejpam-3634	174	4	x.	x.	NOUN
ejpam-3634	174	5	we	we	PRON
ejpam-3634	174	6	obtain	obtain	VERB
ejpam-3634	174	7	tn∩m	tn∩m	NOUN
ejpam-3634	174	8	(	(	PUNCT
ejpam-3634	174	9	f(xn1	f(xn1	PROPN
ejpam-3634	174	10	)	)	PUNCT
ejpam-3634	174	11	)	)	PUNCT
ejpam-3634	175	1	=	=	PUNCT
ejpam-3634	175	2	∨	∨	X
ejpam-3634	175	3	{	{	PUNCT
ejpam-3634	175	4	tn	tn	PROPN
ejpam-3634	175	5	(	(	PUNCT
ejpam-3634	175	6	f(xn1	f(xn1	PROPN
ejpam-3634	175	7	)	)	PUNCT
ejpam-3634	175	8	)	)	PUNCT
ejpam-3634	175	9	,	,	PUNCT
ejpam-3634	175	10	tm	tm	PROPN
ejpam-3634	175	11	(	(	PUNCT
ejpam-3634	175	12	f(xn1	f(xn1	PROPN
ejpam-3634	175	13	)	)	PUNCT
ejpam-3634	175	14	)	)	PUNCT
ejpam-3634	175	15	}	}	PUNCT
ejpam-3634	175	16	≤	≤	X
ejpam-3634	175	17	∨{∨	∨{∨	PROPN
ejpam-3634	175	18	{	{	PUNCT
ejpam-3634	175	19	tn	tn	PROPN
ejpam-3634	175	20	(	(	PUNCT
ejpam-3634	175	21	x1	x1	PROPN
ejpam-3634	175	22	)	)	PUNCT
ejpam-3634	175	23	,	,	PUNCT
ejpam-3634	175	24	.	.	PUNCT
ejpam-3634	175	25	.	.	PUNCT
ejpam-3634	176	1	.	.	PUNCT
ejpam-3634	177	1	,	,	PUNCT
ejpam-3634	177	2	tn	tn	PROPN
ejpam-3634	177	3	(	(	PUNCT
ejpam-3634	177	4	xn	xn	PROPN
ejpam-3634	177	5	)	)	PUNCT
ejpam-3634	177	6	}	}	PUNCT
ejpam-3634	177	7	,	,	PUNCT
ejpam-3634	177	8	∨	∨	X
ejpam-3634	177	9	{	{	PUNCT
ejpam-3634	177	10	tm	tm	PROPN
ejpam-3634	177	11	(	(	PUNCT
ejpam-3634	177	12	x1	x1	PROPN
ejpam-3634	177	13	)	)	PUNCT
ejpam-3634	177	14	,	,	PUNCT
ejpam-3634	177	15	.	.	PUNCT
ejpam-3634	177	16	.	.	PUNCT
ejpam-3634	177	17	.	.	PUNCT
ejpam-3634	178	1	,	,	PUNCT
ejpam-3634	178	2	tm	tm	PROPN
ejpam-3634	178	3	(	(	PUNCT
ejpam-3634	178	4	xn	xn	PROPN
ejpam-3634	178	5	)	)	PUNCT
ejpam-3634	178	6	}	}	PUNCT
ejpam-3634	178	7	}	}	PUNCT
ejpam-3634	178	8	=	=	PUNCT
ejpam-3634	178	9	∨{∨	∨{∨	PROPN
ejpam-3634	178	10	{	{	PUNCT
ejpam-3634	178	11	tn	tn	PROPN
ejpam-3634	178	12	(	(	PUNCT
ejpam-3634	178	13	x1	x1	PROPN
ejpam-3634	178	14	)	)	PUNCT
ejpam-3634	178	15	,	,	PUNCT
ejpam-3634	178	16	tm	tm	PROPN
ejpam-3634	178	17	(	(	PUNCT
ejpam-3634	178	18	x1	x1	PROPN
ejpam-3634	178	19	)	)	PUNCT
ejpam-3634	178	20	}	}	PUNCT
ejpam-3634	178	21	,	,	PUNCT
ejpam-3634	178	22	.	.	PUNCT
ejpam-3634	178	23	.	.	PUNCT
ejpam-3634	179	1	.	.	PUNCT
ejpam-3634	180	1	,	,	PUNCT
ejpam-3634	180	2	∨	∨	X
ejpam-3634	180	3	{	{	PUNCT
ejpam-3634	180	4	tn	tn	PROPN
ejpam-3634	180	5	(	(	PUNCT
ejpam-3634	180	6	xn	xn	PROPN
ejpam-3634	180	7	)	)	PUNCT
ejpam-3634	180	8	,	,	PUNCT
ejpam-3634	180	9	tm	tm	PROPN
ejpam-3634	180	10	(	(	PUNCT
ejpam-3634	180	11	xn	xn	PROPN
ejpam-3634	180	12	)	)	PUNCT
ejpam-3634	180	13	}	}	PUNCT
ejpam-3634	180	14	}	}	PUNCT
ejpam-3634	180	15	=	=	SYM
ejpam-3634	180	16	∨	∨	NUM
ejpam-3634	180	17	{	{	PUNCT
ejpam-3634	180	18	tn∩m	tn∩m	NOUN
ejpam-3634	180	19	(	(	PUNCT
ejpam-3634	180	20	x1	x1	PROPN
ejpam-3634	180	21	)	)	PUNCT
ejpam-3634	180	22	,	,	PUNCT
ejpam-3634	180	23	.	.	PUNCT
ejpam-3634	180	24	.	.	PUNCT
ejpam-3634	181	1	.	.	PUNCT
ejpam-3634	182	1	,	,	PUNCT
ejpam-3634	182	2	tn∩m	tn∩m	NOUN
ejpam-3634	182	3	(	(	PUNCT
ejpam-3634	182	4	xn	xn	PROPN
ejpam-3634	182	5	)	)	PUNCT
ejpam-3634	182	6	}	}	PUNCT
ejpam-3634	182	7	,	,	PUNCT
ejpam-3634	182	8	in∩m	in∩m	X
ejpam-3634	182	9	(	(	PUNCT
ejpam-3634	182	10	f(xn1	f(xn1	PROPN
ejpam-3634	182	11	)	)	PUNCT
ejpam-3634	182	12	)	)	PUNCT
ejpam-3634	183	1	=	=	PUNCT
ejpam-3634	183	2	∧	∧	NOUN
ejpam-3634	183	3	{	{	PUNCT
ejpam-3634	183	4	in	in	ADP
ejpam-3634	183	5	(	(	PUNCT
ejpam-3634	183	6	f(xn1	f(xn1	PROPN
ejpam-3634	183	7	)	)	PUNCT
ejpam-3634	183	8	)	)	PUNCT
ejpam-3634	183	9	,	,	PUNCT
ejpam-3634	183	10	i	i	PRON
ejpam-3634	183	11	m	m	VERB
ejpam-3634	183	12	(	(	PUNCT
ejpam-3634	183	13	f(xn1	f(xn1	PROPN
ejpam-3634	183	14	)	)	PUNCT
ejpam-3634	183	15	)	)	PUNCT
ejpam-3634	183	16	}	}	PUNCT
ejpam-3634	183	17	≥	≥	X
ejpam-3634	183	18	∧	∧	NOUN
ejpam-3634	183	19	{	{	PUNCT
ejpam-3634	183	20	∧	∧	PROPN
ejpam-3634	183	21	{	{	PUNCT
ejpam-3634	183	22	in	in	ADP
ejpam-3634	183	23	(	(	PUNCT
ejpam-3634	183	24	x1	x1	PROPN
ejpam-3634	183	25	)	)	PUNCT
ejpam-3634	183	26	,	,	PUNCT
ejpam-3634	183	27	.	.	PUNCT
ejpam-3634	183	28	.	.	PUNCT
ejpam-3634	183	29	.	.	PUNCT
ejpam-3634	184	1	,	,	PUNCT
ejpam-3634	184	2	in	in	ADP
ejpam-3634	184	3	(	(	PUNCT
ejpam-3634	184	4	xn	xn	PROPN
ejpam-3634	184	5	)	)	PUNCT
ejpam-3634	184	6	}	}	PUNCT
ejpam-3634	184	7	,	,	PUNCT
ejpam-3634	184	8	∧	∧	PROPN
ejpam-3634	184	9	{	{	PUNCT
ejpam-3634	184	10	i	i	NOUN
ejpam-3634	184	11	m	m	VERB
ejpam-3634	184	12	(	(	PUNCT
ejpam-3634	184	13	x1	x1	PROPN
ejpam-3634	184	14	)	)	PUNCT
ejpam-3634	184	15	,	,	PUNCT
ejpam-3634	184	16	.	.	PUNCT
ejpam-3634	184	17	.	.	PUNCT
ejpam-3634	184	18	.	.	PUNCT
ejpam-3634	185	1	,	,	PUNCT
ejpam-3634	185	2	i	i	PRON
ejpam-3634	185	3	m	m	VERB
ejpam-3634	185	4	(	(	PUNCT
ejpam-3634	185	5	xn	xn	PROPN
ejpam-3634	185	6	)	)	PUNCT
ejpam-3634	185	7	}	}	PUNCT
ejpam-3634	185	8	}	}	PUNCT
ejpam-3634	185	9	=	=	SYM
ejpam-3634	185	10	∧	∧	NOUN
ejpam-3634	185	11	{	{	PUNCT
ejpam-3634	185	12	∧	∧	PROPN
ejpam-3634	185	13	{	{	PUNCT
ejpam-3634	185	14	in	in	ADP
ejpam-3634	185	15	(	(	PUNCT
ejpam-3634	185	16	x1	x1	PROPN
ejpam-3634	185	17	)	)	PUNCT
ejpam-3634	185	18	,	,	PUNCT
ejpam-3634	185	19	i	i	PRON
ejpam-3634	185	20	m	m	VERB
ejpam-3634	185	21	(	(	PUNCT
ejpam-3634	185	22	x1	x1	PROPN
ejpam-3634	185	23	)	)	PUNCT
ejpam-3634	185	24	}	}	PUNCT
ejpam-3634	185	25	,	,	PUNCT
ejpam-3634	185	26	.	.	PUNCT
ejpam-3634	185	27	.	.	PUNCT
ejpam-3634	186	1	.	.	PUNCT
ejpam-3634	187	1	,	,	PUNCT
ejpam-3634	187	2	∧	∧	NOUN
ejpam-3634	187	3	{	{	PUNCT
ejpam-3634	187	4	in	in	ADP
ejpam-3634	187	5	(	(	PUNCT
ejpam-3634	187	6	xn	xn	PROPN
ejpam-3634	187	7	)	)	PUNCT
ejpam-3634	187	8	,	,	PUNCT
ejpam-3634	187	9	i	i	PRON
ejpam-3634	187	10	m	m	VERB
ejpam-3634	187	11	(	(	PUNCT
ejpam-3634	187	12	xn	xn	PROPN
ejpam-3634	187	13	)	)	PUNCT
ejpam-3634	187	14	}	}	PUNCT
ejpam-3634	187	15	}	}	PUNCT
ejpam-3634	187	16	=	=	SYM
ejpam-3634	187	17	∧	∧	NOUN
ejpam-3634	187	18	{	{	PUNCT
ejpam-3634	187	19	in∩m	in∩m	X
ejpam-3634	187	20	(	(	PUNCT
ejpam-3634	187	21	x1	x1	PROPN
ejpam-3634	187	22	)	)	PUNCT
ejpam-3634	187	23	,	,	PUNCT
ejpam-3634	187	24	.	.	PUNCT
ejpam-3634	187	25	.	.	PUNCT
ejpam-3634	187	26	.	.	PUNCT
ejpam-3634	188	1	,	,	PUNCT
ejpam-3634	188	2	in∩m	in∩m	X
ejpam-3634	188	3	(	(	PUNCT
ejpam-3634	188	4	xn	xn	NUM
ejpam-3634	188	5	)	)	PUNCT
ejpam-3634	188	6	}	}	PUNCT
ejpam-3634	188	7	,	,	PUNCT
ejpam-3634	188	8	fn∩m	fn∩m	ADV
ejpam-3634	188	9	(	(	PUNCT
ejpam-3634	188	10	f(xn1	f(xn1	PROPN
ejpam-3634	188	11	)	)	PUNCT
ejpam-3634	188	12	)	)	PUNCT
ejpam-3634	189	1	=	=	PUNCT
ejpam-3634	189	2	∨	∨	X
ejpam-3634	189	3	{	{	PUNCT
ejpam-3634	189	4	fn	fn	PROPN
ejpam-3634	189	5	(	(	PUNCT
ejpam-3634	189	6	f(xn1	f(xn1	PROPN
ejpam-3634	189	7	)	)	PUNCT
ejpam-3634	189	8	)	)	PUNCT
ejpam-3634	189	9	,	,	PUNCT
ejpam-3634	189	10	fm	fm	PROPN
ejpam-3634	189	11	(	(	PUNCT
ejpam-3634	189	12	f(xn1	f(xn1	PROPN
ejpam-3634	189	13	)	)	PUNCT
ejpam-3634	189	14	)	)	PUNCT
ejpam-3634	189	15	}	}	PUNCT
ejpam-3634	189	16	≤	≤	X
ejpam-3634	189	17	∨{∨	∨{∨	PROPN
ejpam-3634	189	18	{	{	PUNCT
ejpam-3634	189	19	fn	fn	NOUN
ejpam-3634	189	20	(	(	PUNCT
ejpam-3634	189	21	x1	x1	PROPN
ejpam-3634	189	22	)	)	PUNCT
ejpam-3634	189	23	,	,	PUNCT
ejpam-3634	189	24	.	.	PUNCT
ejpam-3634	189	25	.	.	PUNCT
ejpam-3634	189	26	.	.	PUNCT
ejpam-3634	190	1	,	,	PUNCT
ejpam-3634	190	2	fn	fn	INTJ
ejpam-3634	190	3	(	(	PUNCT
ejpam-3634	190	4	xn	xn	PROPN
ejpam-3634	190	5	)	)	PUNCT
ejpam-3634	190	6	}	}	PUNCT
ejpam-3634	190	7	,	,	PUNCT
ejpam-3634	190	8	∨	∨	X
ejpam-3634	190	9	{	{	PUNCT
ejpam-3634	190	10	fm	fm	PROPN
ejpam-3634	190	11	(	(	PUNCT
ejpam-3634	190	12	x1	x1	PROPN
ejpam-3634	190	13	)	)	PUNCT
ejpam-3634	190	14	,	,	PUNCT
ejpam-3634	190	15	.	.	PUNCT
ejpam-3634	190	16	.	.	PUNCT
ejpam-3634	190	17	.	.	PUNCT
ejpam-3634	191	1	,	,	PUNCT
ejpam-3634	191	2	fm	fm	PROPN
ejpam-3634	191	3	(	(	PUNCT
ejpam-3634	191	4	xn	xn	PROPN
ejpam-3634	191	5	)	)	PUNCT
ejpam-3634	191	6	}	}	PUNCT
ejpam-3634	191	7	}	}	PUNCT
ejpam-3634	191	8	=	=	PUNCT
ejpam-3634	191	9	∨{∨	∨{∨	PROPN
ejpam-3634	191	10	{	{	PUNCT
ejpam-3634	191	11	fn	fn	NOUN
ejpam-3634	191	12	(	(	PUNCT
ejpam-3634	191	13	x1	x1	PROPN
ejpam-3634	191	14	)	)	PUNCT
ejpam-3634	191	15	,	,	PUNCT
ejpam-3634	191	16	fm	fm	PROPN
ejpam-3634	191	17	(	(	PUNCT
ejpam-3634	191	18	x1	x1	PROPN
ejpam-3634	191	19	)	)	PUNCT
ejpam-3634	191	20	}	}	PUNCT
ejpam-3634	191	21	,	,	PUNCT
ejpam-3634	191	22	.	.	PUNCT
ejpam-3634	191	23	.	.	PUNCT
ejpam-3634	192	1	.	.	PUNCT
ejpam-3634	193	1	,	,	PUNCT
ejpam-3634	193	2	∨	∨	X
ejpam-3634	193	3	{	{	PUNCT
ejpam-3634	193	4	fn	fn	PROPN
ejpam-3634	193	5	(	(	PUNCT
ejpam-3634	193	6	xn	xn	PROPN
ejpam-3634	193	7	)	)	PUNCT
ejpam-3634	193	8	,	,	PUNCT
ejpam-3634	193	9	fm	fm	PROPN
ejpam-3634	193	10	(	(	PUNCT
ejpam-3634	193	11	xn	xn	PROPN
ejpam-3634	193	12	)	)	PUNCT
ejpam-3634	193	13	}	}	PUNCT
ejpam-3634	193	14	}	}	PUNCT
ejpam-3634	193	15	=	=	SYM
ejpam-3634	193	16	∨	∨	X
ejpam-3634	193	17	{	{	PUNCT
ejpam-3634	193	18	fn∩m	fn∩m	ADV
ejpam-3634	193	19	(	(	PUNCT
ejpam-3634	193	20	x1	x1	PROPN
ejpam-3634	193	21	)	)	PUNCT
ejpam-3634	193	22	,	,	PUNCT
ejpam-3634	193	23	.	.	PUNCT
ejpam-3634	193	24	.	.	PUNCT
ejpam-3634	194	1	.	.	PUNCT
ejpam-3634	195	1	,	,	PUNCT
ejpam-3634	195	2	fn∩m	fn∩m	ADV
ejpam-3634	195	3	(	(	PUNCT
ejpam-3634	195	4	xn	xn	NUM
ejpam-3634	195	5	)	)	PUNCT
ejpam-3634	195	6	}	}	PUNCT
ejpam-3634	195	7	for	for	ADP
ejpam-3634	195	8	all	all	DET
ejpam-3634	195	9	x1	x1	PROPN
ejpam-3634	195	10	,	,	PUNCT
ejpam-3634	195	11	.	.	PUNCT
ejpam-3634	195	12	.	.	PUNCT
ejpam-3634	196	1	.	.	PUNCT
ejpam-3634	197	1	,	,	PUNCT
ejpam-3634	197	2	xn	xn	PUNCT
ejpam-3634	197	3	∈	∈	PROPN
ejpam-3634	197	4	x.	x.	NOUN
ejpam-3634	197	5	therefore	therefore	ADV
ejpam-3634	197	6	xn∩m	xn∩m	PRON
ejpam-3634	197	7	is	be	AUX
ejpam-3634	197	8	a	a	DET
ejpam-3634	197	9	neutrosophic	neutrosophic	ADJ
ejpam-3634	197	10	n	n	CCONJ
ejpam-3634	197	11	-	-	PUNCT
ejpam-3634	197	12	ary	ary	PROPN
ejpam-3634	197	13	n	n	NUM
ejpam-3634	197	14	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	197	15	of	of	ADP
ejpam-3634	197	16	x.	x.	PROPN
ejpam-3634	197	17	corollary	corollary	PROPN
ejpam-3634	197	18	1	1	X
ejpam-3634	197	19	.	.	PUNCT
ejpam-3634	198	1	let	let	VERB
ejpam-3634	198	2	{	{	PUNCT
ejpam-3634	198	3	xni	xni	VERB
ejpam-3634	199	1	|	|	ADV
ejpam-3634	199	2	i	i	PRON
ejpam-3634	199	3	∈	∈	PROPN
ejpam-3634	199	4	n	n	CCONJ
ejpam-3634	199	5	}	}	PUNCT
ejpam-3634	199	6	be	be	AUX
ejpam-3634	199	7	a	a	DET
ejpam-3634	199	8	family	family	NOUN
ejpam-3634	199	9	of	of	ADP
ejpam-3634	199	10	neutrosophic	neutrosophic	ADJ
ejpam-3634	199	11	n	n	CCONJ
ejpam-3634	199	12	-	-	PUNCT
ejpam-3634	199	13	ary	ary	NOUN
ejpam-3634	199	14	n	n	PRON
ejpam-3634	199	15	-subgroupoids	-subgroupoid	NOUN
ejpam-3634	199	16	of	of	ADP
ejpam-3634	199	17	an	an	DET
ejpam-3634	199	18	n	n	CCONJ
ejpam-3634	199	19	-	-	PUNCT
ejpam-3634	199	20	ary	ary	PROPN
ejpam-3634	199	21	groupoid	groupoid	PROPN
ejpam-3634	199	22	x.then	x.then	PROPN
ejpam-3634	200	1	⋂	⋂	PROPN
ejpam-3634	200	2	i∈nxni	i∈nxni	PROPN
ejpam-3634	200	3	is	be	AUX
ejpam-3634	200	4	also	also	ADV
ejpam-3634	200	5	a	a	DET
ejpam-3634	200	6	neutrosophic	neutrosophic	ADJ
ejpam-3634	200	7	n	n	CCONJ
ejpam-3634	200	8	-	-	PUNCT
ejpam-3634	200	9	ary	ary	PROPN
ejpam-3634	200	10	n	n	NUM
ejpam-3634	200	11	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	200	12	of	of	ADP
ejpam-3634	200	13	x.	x.	NOUN
ejpam-3634	200	14	for	for	ADP
ejpam-3634	200	15	each	each	DET
ejpam-3634	200	16	i	i	PRON
ejpam-3634	200	17	∈	∈	PROPN
ejpam-3634	200	18	{	{	PUNCT
ejpam-3634	200	19	1	1	NUM
ejpam-3634	200	20	,	,	PUNCT
ejpam-3634	200	21	2	2	NUM
ejpam-3634	200	22	,	,	PUNCT
ejpam-3634	200	23	.	.	PUNCT
ejpam-3634	200	24	.	.	PUNCT
ejpam-3634	201	1	.	.	PUNCT
ejpam-3634	202	1	,	,	PUNCT
ejpam-3634	202	2	n	n	CCONJ
ejpam-3634	202	3	}	}	PUNCT
ejpam-3634	202	4	,	,	PUNCT
ejpam-3634	202	5	let	let	VERB
ejpam-3634	202	6	xni	xni	NOUN
ejpam-3634	202	7	:	:	PUNCT
ejpam-3634	202	8	=	=	SYM
ejpam-3634	202	9	x	x	X
ejpam-3634	202	10	(	(	PUNCT
ejpam-3634	202	11	tni	tni	NOUN
ejpam-3634	202	12	,	,	PUNCT
ejpam-3634	202	13	ini	ini	PROPN
ejpam-3634	202	14	,	,	PUNCT
ejpam-3634	202	15	fni	fni	PROPN
ejpam-3634	202	16	)	)	PUNCT
ejpam-3634	202	17	be	be	VERB
ejpam-3634	202	18	a	a	DET
ejpam-3634	202	19	neutrosophic	neutrosophic	ADJ
ejpam-3634	202	20	n	n	SYM
ejpam-3634	202	21	-structure	-structure	NOUN
ejpam-3634	202	22	over	over	ADP
ejpam-3634	202	23	an	an	DET
ejpam-3634	202	24	n	n	CCONJ
ejpam-3634	202	25	-	-	PUNCT
ejpam-3634	202	26	ary	ary	NOUN
ejpam-3634	202	27	groupoid	groupoid	PROPN
ejpam-3634	202	28	(	(	PUNCT
ejpam-3634	202	29	x	x	NOUN
ejpam-3634	202	30	,	,	PUNCT
ejpam-3634	202	31	f	f	NOUN
ejpam-3634	202	32	)	)	PUNCT
ejpam-3634	202	33	.	.	PUNCT
ejpam-3634	203	1	then	then	ADV
ejpam-3634	203	2	a	a	DET
ejpam-3634	203	3	neutrosophic	neutrosophic	ADJ
ejpam-3634	203	4	n	n	PRON
ejpam-3634	203	5	-structure	-structure	NOUN
ejpam-3634	203	6	over	over	ADP
ejpam-3634	203	7	x	x	SYM
ejpam-3634	203	8	xn1	xn1	DET
ejpam-3634	203	9	�	�	PROPN
ejpam-3634	203	10	.	.	PUNCT
ejpam-3634	203	11	.	.	PUNCT
ejpam-3634	203	12	.	.	PUNCT
ejpam-3634	204	1	�	�	PROPN
ejpam-3634	204	2	xnn	xnn	PROPN
ejpam-3634	204	3	=	=	SYM
ejpam-3634	204	4	x	x	X
ejpam-3634	204	5	(	(	PUNCT
ejpam-3634	204	6	tn1	tn1	X
ejpam-3634	204	7	�	�	PROPN
ejpam-3634	204	8	.	.	PUNCT
ejpam-3634	204	9	.	.	PUNCT
ejpam-3634	204	10	.	.	PUNCT
ejpam-3634	205	1	�	�	PROPN
ejpam-3634	205	2	tnn	tnn	PROPN
ejpam-3634	205	3	,	,	PUNCT
ejpam-3634	205	4	in1	in1	PROPN
ejpam-3634	205	5	�	�	PROPN
ejpam-3634	205	6	.	.	PUNCT
ejpam-3634	205	7	.	.	PUNCT
ejpam-3634	205	8	.	.	PUNCT
ejpam-3634	206	1	�	�	PROPN
ejpam-3634	206	2	inn	inn	PROPN
ejpam-3634	206	3	,	,	PUNCT
ejpam-3634	206	4	fn1	fn1	PROPN
ejpam-3634	206	5	�	�	PROPN
ejpam-3634	206	6	.	.	PUNCT
ejpam-3634	206	7	.	.	PUNCT
ejpam-3634	206	8	.	.	PUNCT
ejpam-3634	207	1	�	�	PROPN
ejpam-3634	207	2	fnn	fnn	PROPN
ejpam-3634	207	3	)	)	PUNCT
ejpam-3634	207	4	=	=	PRON
ejpam-3634	207	5	{	{	PUNCT
ejpam-3634	207	6	x	x	X
ejpam-3634	207	7	tn1	tn1	X
ejpam-3634	207	8	�	�	PROPN
ejpam-3634	207	9	.	.	PUNCT
ejpam-3634	207	10	.	.	PUNCT
ejpam-3634	207	11	.	.	PUNCT
ejpam-3634	208	1	�	�	PROPN
ejpam-3634	208	2	tnn(x	tnn(x	PROPN
ejpam-3634	208	3	)	)	PUNCT
ejpam-3634	208	4	,	,	PUNCT
ejpam-3634	208	5	in1	in1	PROPN
ejpam-3634	208	6	�	�	PROPN
ejpam-3634	208	7	.	.	PUNCT
ejpam-3634	208	8	.	.	PUNCT
ejpam-3634	208	9	.	.	PUNCT
ejpam-3634	209	1	�	�	PROPN
ejpam-3634	209	2	inn(x	inn(x	PROPN
ejpam-3634	209	3	)	)	PUNCT
ejpam-3634	209	4	,	,	PUNCT
ejpam-3634	209	5	fn1	fn1	PROPN
ejpam-3634	209	6	�	�	PROPN
ejpam-3634	209	7	.	.	PUNCT
ejpam-3634	209	8	.	.	PUNCT
ejpam-3634	209	9	.	.	PUNCT
ejpam-3634	210	1	�	�	PROPN
ejpam-3634	210	2	fnn(x	fnn(x	PROPN
ejpam-3634	210	3	)	)	PUNCT
ejpam-3634	211	1	∣∣∣x	∣∣∣x	ADP
ejpam-3634	211	2	∈	∈	NOUN
ejpam-3634	211	3	x	x	PRON
ejpam-3634	211	4	}	}	PUNCT
ejpam-3634	211	5	is	be	AUX
ejpam-3634	211	6	defined	define	VERB
ejpam-3634	211	7	to	to	PART
ejpam-3634	211	8	be	be	AUX
ejpam-3634	211	9	a	a	DET
ejpam-3634	211	10	neutrosophic	neutrosophic	ADJ
ejpam-3634	211	11	n	n	PRON
ejpam-3634	211	12	-product	-product	NOUN
ejpam-3634	211	13	of	of	ADP
ejpam-3634	211	14	xn1	xn1	NUM
ejpam-3634	211	15	,	,	PUNCT
ejpam-3634	211	16	xn2	xn2	PROPN
ejpam-3634	211	17	,	,	PUNCT
ejpam-3634	211	18	.	.	PUNCT
ejpam-3634	211	19	.	.	PUNCT
ejpam-3634	212	1	.	.	PUNCT
ejpam-3634	213	1	,	,	PUNCT
ejpam-3634	213	2	xnn	xnn	INTJ
ejpam-3634	213	3	where	where	SCONJ
ejpam-3634	213	4	tn1	tn1	NOUN
ejpam-3634	213	5	�	�	PROPN
ejpam-3634	213	6	.	.	PUNCT
ejpam-3634	213	7	.	.	PUNCT
ejpam-3634	213	8	.	.	PUNCT
ejpam-3634	214	1	�	�	PROPN
ejpam-3634	214	2	tnn(x	tnn(x	X
ejpam-3634	214	3	)	)	PUNCT
ejpam-3634	214	4	=	=	PUNCT
ejpam-3634	214	5			PUNCT
ejpam-3634	214	6	∧	∧	PROPN
ejpam-3634	214	7	x	x	SYM
ejpam-3634	214	8	=	=	SYM
ejpam-3634	214	9	f(xn1	f(xn1	X
ejpam-3634	214	10	)	)	PUNCT
ejpam-3634	214	11	{	{	PUNCT
ejpam-3634	214	12	tn1(x1	tn1(x1	NOUN
ejpam-3634	214	13	)	)	PUNCT
ejpam-3634	214	14	∨	∨	NUM
ejpam-3634	214	15	...	...	PUNCT
ejpam-3634	214	16	∨	∨	NUM
ejpam-3634	214	17	tnn(xn	tnn(xn	NOUN
ejpam-3634	214	18	)	)	PUNCT
ejpam-3634	214	19	}	}	PUNCT
ejpam-3634	214	20	,	,	PUNCT
ejpam-3634	214	21	if	if	SCONJ
ejpam-3634	214	22	x	x	ADP
ejpam-3634	214	23	=	=	SYM
ejpam-3634	214	24	f(xn1	f(xn1	PROPN
ejpam-3634	214	25	)	)	PUNCT
ejpam-3634	214	26	∃x1	∃x1	NOUN
ejpam-3634	214	27	,	,	PUNCT
ejpam-3634	214	28	...	...	PUNCT
ejpam-3634	214	29	,	,	PUNCT
ejpam-3634	214	30	xn	xn	PROPN
ejpam-3634	214	31	∈	∈	PROPN
ejpam-3634	214	32	x	x	SYM
ejpam-3634	214	33	,	,	PUNCT
ejpam-3634	214	34	0	0	NUM
ejpam-3634	214	35	,	,	PUNCT
ejpam-3634	214	36	otherwise	otherwise	ADV
ejpam-3634	214	37	,	,	PUNCT
ejpam-3634	214	38	a.	a.	NOUN
ejpam-3634	214	39	rattana	rattana	PROPN
ejpam-3634	214	40	,	,	PUNCT
ejpam-3634	214	41	r.	r.	PROPN
ejpam-3634	214	42	chinram	chinram	PROPN
ejpam-3634	214	43	/	/	SYM
ejpam-3634	214	44	eur	eur	PROPN
ejpam-3634	214	45	.	.	PUNCT
ejpam-3634	215	1	j.	j.	PROPN
ejpam-3634	215	2	pure	pure	PROPN
ejpam-3634	215	3	appl	appl	PROPN
ejpam-3634	215	4	.	.	PROPN
ejpam-3634	215	5	math	math	PROPN
ejpam-3634	215	6	,	,	PUNCT
ejpam-3634	215	7	13	13	NUM
ejpam-3634	215	8	(	(	PUNCT
ejpam-3634	215	9	2	2	NUM
ejpam-3634	215	10	)	)	PUNCT
ejpam-3634	215	11	(	(	PUNCT
ejpam-3634	215	12	2020	2020	NUM
ejpam-3634	215	13	)	)	PUNCT
ejpam-3634	215	14	,	,	PUNCT
ejpam-3634	215	15	200	200	NUM
ejpam-3634	215	16	-	-	SYM
ejpam-3634	215	17	215	215	NUM
ejpam-3634	215	18	206	206	NUM
ejpam-3634	215	19	in1	in1	ADJ
ejpam-3634	215	20	�	�	PROPN
ejpam-3634	215	21	.	.	PUNCT
ejpam-3634	215	22	.	.	PUNCT
ejpam-3634	215	23	.	.	PUNCT
ejpam-3634	216	1	�	�	PROPN
ejpam-3634	216	2	inn(x	inn(x	PROPN
ejpam-3634	216	3	)	)	PUNCT
ejpam-3634	216	4	=	=	PUNCT
ejpam-3634	216	5			PUNCT
ejpam-3634	216	6	∨	∨	NUM
ejpam-3634	216	7	x	x	SYM
ejpam-3634	216	8	=	=	NOUN
ejpam-3634	216	9	f(xn1	f(xn1	NOUN
ejpam-3634	216	10	)	)	PUNCT
ejpam-3634	216	11	{	{	PUNCT
ejpam-3634	216	12	in1(x1	in1(x1	NOUN
ejpam-3634	216	13	)	)	PUNCT
ejpam-3634	216	14	∧	∧	NOUN
ejpam-3634	216	15	...	...	PUNCT
ejpam-3634	216	16	∧	∧	NOUN
ejpam-3634	216	17	inn(xn	inn(xn	NOUN
ejpam-3634	216	18	)	)	PUNCT
ejpam-3634	216	19	}	}	PUNCT
ejpam-3634	216	20	,	,	PUNCT
ejpam-3634	216	21	if	if	SCONJ
ejpam-3634	216	22	x	x	ADP
ejpam-3634	216	23	=	=	SYM
ejpam-3634	216	24	f(xn1	f(xn1	PROPN
ejpam-3634	216	25	)	)	PUNCT
ejpam-3634	216	26	∃x1	∃x1	NOUN
ejpam-3634	216	27	,	,	PUNCT
ejpam-3634	216	28	...	...	PUNCT
ejpam-3634	216	29	,	,	PUNCT
ejpam-3634	216	30	xn	xn	PROPN
ejpam-3634	216	31	∈	∈	PROPN
ejpam-3634	216	32	x	x	X
ejpam-3634	216	33	,	,	PUNCT
ejpam-3634	216	34	−1	−1	ADP
ejpam-3634	216	35	,	,	PUNCT
ejpam-3634	216	36	otherwise	otherwise	ADV
ejpam-3634	216	37	,	,	PUNCT
ejpam-3634	216	38	and	and	CCONJ
ejpam-3634	216	39	fn1	fn1	PROPN
ejpam-3634	216	40	�	�	PROPN
ejpam-3634	216	41	.	.	PUNCT
ejpam-3634	216	42	.	.	PUNCT
ejpam-3634	216	43	.	.	PUNCT
ejpam-3634	217	1	�	�	PROPN
ejpam-3634	217	2	fnn(x	fnn(x	PROPN
ejpam-3634	217	3	)	)	PUNCT
ejpam-3634	217	4	=	=	PUNCT
ejpam-3634	218	1			PUNCT
ejpam-3634	218	2	∧	∧	PROPN
ejpam-3634	218	3	x	x	SYM
ejpam-3634	218	4	=	=	SYM
ejpam-3634	218	5	f(xn1	f(xn1	X
ejpam-3634	218	6	)	)	PUNCT
ejpam-3634	218	7	{	{	PUNCT
ejpam-3634	218	8	fn1(x1	fn1(x1	NOUN
ejpam-3634	218	9	)	)	PUNCT
ejpam-3634	218	10	∨	∨	NUM
ejpam-3634	218	11	...	...	PUNCT
ejpam-3634	218	12	∨	∨	NUM
ejpam-3634	218	13	fnn(xn	fnn(xn	X
ejpam-3634	218	14	)	)	PUNCT
ejpam-3634	218	15	}	}	PUNCT
ejpam-3634	218	16	,	,	PUNCT
ejpam-3634	218	17	if	if	SCONJ
ejpam-3634	218	18	x	x	ADP
ejpam-3634	218	19	=	=	SYM
ejpam-3634	218	20	f(xn1	f(xn1	PROPN
ejpam-3634	218	21	)	)	PUNCT
ejpam-3634	218	22	∃x1	∃x1	NOUN
ejpam-3634	218	23	,	,	PUNCT
ejpam-3634	218	24	...	...	PUNCT
ejpam-3634	218	25	,	,	PUNCT
ejpam-3634	218	26	xn	xn	PROPN
ejpam-3634	218	27	∈	∈	PROPN
ejpam-3634	218	28	x	x	SYM
ejpam-3634	218	29	,	,	PUNCT
ejpam-3634	218	30	0	0	NUM
ejpam-3634	218	31	,	,	PUNCT
ejpam-3634	218	32	otherwise	otherwise	ADV
ejpam-3634	218	33	.	.	PUNCT
ejpam-3634	219	1	if	if	SCONJ
ejpam-3634	219	2	xn	xn	PROPN
ejpam-3634	219	3	=	=	SYM
ejpam-3634	219	4	xn1	xn1	PROPN
ejpam-3634	219	5	=	=	PUNCT
ejpam-3634	219	6	xn2	xn2	PUNCT
ejpam-3634	220	1	=	=	PUNCT
ejpam-3634	220	2	.	.	PUNCT
ejpam-3634	220	3	.	.	PUNCT
ejpam-3634	220	4	.	.	PUNCT
ejpam-3634	221	1	=	=	PUNCT
ejpam-3634	221	2	xnn	xnn	INTJ
ejpam-3634	221	3	,	,	PUNCT
ejpam-3634	221	4	then	then	ADV
ejpam-3634	221	5	xn1	xn1	DET
ejpam-3634	221	6	�	�	PROPN
ejpam-3634	221	7	.	.	PUNCT
ejpam-3634	221	8	.	.	PUNCT
ejpam-3634	221	9	.	.	PUNCT
ejpam-3634	222	1	�	�	PROPN
ejpam-3634	222	2	xnn	xnn	PROPN
ejpam-3634	222	3	is	be	AUX
ejpam-3634	222	4	denoted	denote	VERB
ejpam-3634	222	5	by	by	ADP
ejpam-3634	222	6	�	�	PROPN
ejpam-3634	222	7	(	(	PUNCT
ejpam-3634	222	8	xn	xn	PROPN
ejpam-3634	222	9	)	)	PUNCT
ejpam-3634	222	10	(	(	PUNCT
ejpam-3634	222	11	n	n	CCONJ
ejpam-3634	222	12	)	)	PUNCT
ejpam-3634	222	13	.	.	PUNCT
ejpam-3634	223	1	for	for	ADP
ejpam-3634	223	2	any	any	DET
ejpam-3634	223	3	x	x	SYM
ejpam-3634	223	4	∈	∈	PROPN
ejpam-3634	223	5	x	x	NOUN
ejpam-3634	223	6	,	,	PUNCT
ejpam-3634	223	7	the	the	DET
ejpam-3634	223	8	element	element	NOUN
ejpam-3634	223	9	x	x	SYM
ejpam-3634	223	10	�	�	PROPN
ejpam-3634	223	11	(	(	PUNCT
ejpam-3634	223	12	tn	tn	NOUN
ejpam-3634	223	13	)	)	PUNCT
ejpam-3634	223	14	(	(	PUNCT
ejpam-3634	223	15	n)(x),	n)(x),	PROPN
ejpam-3634	223	16	�	�	PROPN
ejpam-3634	223	17	(in	(in	PUNCT
ejpam-3634	223	18	)	)	PUNCT
ejpam-3634	223	19	(	(	PUNCT
ejpam-3634	223	20	n)(x),	n)(x),	PROPN
ejpam-3634	223	21	�	�	PROPN
ejpam-3634	223	22	(fn	(fn	PUNCT
ejpam-3634	223	23	)	)	PUNCT
ejpam-3634	223	24	(	(	PUNCT
ejpam-3634	223	25	n)(x	n)(x	PROPN
ejpam-3634	223	26	)	)	PUNCT
ejpam-3634	223	27	is	be	AUX
ejpam-3634	223	28	denoted	denote	VERB
ejpam-3634	223	29	by	by	ADP
ejpam-3634	223	30	�	�	PROPN
ejpam-3634	223	31	(	(	PUNCT
ejpam-3634	223	32	xn	xn	PROPN
ejpam-3634	223	33	)	)	PUNCT
ejpam-3634	223	34	(	(	PUNCT
ejpam-3634	223	35	n)(x	n)(x	PROPN
ejpam-3634	223	36	)	)	PUNCT
ejpam-3634	224	1	:	:	PUNCT
ejpam-3634	224	2	=	=	SYM
ejpam-3634	224	3	(	(	PUNCT
ejpam-3634	224	4	�	�	PROPN
ejpam-3634	224	5	(	(	PUNCT
ejpam-3634	224	6	tn	tn	NOUN
ejpam-3634	224	7	)	)	PUNCT
ejpam-3634	224	8	(	(	PUNCT
ejpam-3634	224	9	n)(x),	n)(x),	PROPN
ejpam-3634	224	10	�	�	PROPN
ejpam-3634	224	11	(in	(in	PUNCT
ejpam-3634	224	12	)	)	PUNCT
ejpam-3634	224	13	(	(	PUNCT
ejpam-3634	224	14	n)(x),	n)(x),	PROPN
ejpam-3634	224	15	�	�	PROPN
ejpam-3634	224	16	(fn	(fn	PUNCT
ejpam-3634	224	17	)	)	PUNCT
ejpam-3634	224	18	(	(	PUNCT
ejpam-3634	224	19	n)(x	n)(x	PROPN
ejpam-3634	224	20	)	)	PUNCT
ejpam-3634	224	21	)	)	PUNCT
ejpam-3634	224	22	.	.	PUNCT
ejpam-3634	225	1	theorem	theorem	VERB
ejpam-3634	225	2	4	4	NUM
ejpam-3634	225	3	.	.	PUNCT
ejpam-3634	225	4	a	a	DET
ejpam-3634	225	5	neutrosophic	neutrosophic	ADJ
ejpam-3634	225	6	n	n	PRON
ejpam-3634	225	7	-structure	-structure	NOUN
ejpam-3634	225	8	xn	xn	NOUN
ejpam-3634	225	9	over	over	ADP
ejpam-3634	225	10	x	x	PRON
ejpam-3634	225	11	is	be	AUX
ejpam-3634	225	12	a	a	DET
ejpam-3634	225	13	neutrosophic	neutrosophic	ADJ
ejpam-3634	225	14	n	n	PRON
ejpam-3634	225	15	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	225	16	of	of	ADP
ejpam-3634	225	17	x	x	SYM
ejpam-3634	225	18	if	if	SCONJ
ejpam-3634	225	19	and	and	CCONJ
ejpam-3634	225	20	only	only	ADV
ejpam-3634	225	21	if	if	SCONJ
ejpam-3634	225	22	�	�	PROPN
ejpam-3634	225	23	(	(	PUNCT
ejpam-3634	225	24	xn	xn	PROPN
ejpam-3634	225	25	)	)	PUNCT
ejpam-3634	225	26	(	(	PUNCT
ejpam-3634	225	27	n	n	CCONJ
ejpam-3634	225	28	)	)	PUNCT
ejpam-3634	226	1	⊆	⊆	NUM
ejpam-3634	226	2	xn	xn	X
ejpam-3634	226	3	.	.	PUNCT
ejpam-3634	227	1	proof	proof	NOUN
ejpam-3634	227	2	.	.	PUNCT
ejpam-3634	228	1	we	we	PRON
ejpam-3634	228	2	first	first	ADV
ejpam-3634	228	3	prove	prove	VERB
ejpam-3634	228	4	that	that	SCONJ
ejpam-3634	228	5	if	if	SCONJ
ejpam-3634	228	6	a	a	DET
ejpam-3634	228	7	neutrosophic	neutrosophic	ADJ
ejpam-3634	228	8	n	n	PRON
ejpam-3634	228	9	-structure	-structure	NOUN
ejpam-3634	228	10	xn	xn	NOUN
ejpam-3634	228	11	over	over	ADP
ejpam-3634	228	12	x	x	PRON
ejpam-3634	228	13	is	be	AUX
ejpam-3634	228	14	a	a	DET
ejpam-3634	228	15	neutrosophic	neutrosophic	ADJ
ejpam-3634	228	16	n	n	CCONJ
ejpam-3634	228	17	-	-	PUNCT
ejpam-3634	228	18	ary	ary	PROPN
ejpam-3634	228	19	n	n	NUM
ejpam-3634	228	20	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	228	21	of	of	ADP
ejpam-3634	228	22	x	x	NOUN
ejpam-3634	228	23	,	,	PUNCT
ejpam-3634	228	24	then	then	ADV
ejpam-3634	228	25	�	�	PROPN
ejpam-3634	228	26	(	(	PUNCT
ejpam-3634	228	27	xn	xn	PROPN
ejpam-3634	228	28	)	)	PUNCT
ejpam-3634	228	29	(	(	PUNCT
ejpam-3634	228	30	n	n	CCONJ
ejpam-3634	228	31	)	)	PUNCT
ejpam-3634	228	32	⊆	⊆	NUM
ejpam-3634	228	33	xn	xn	NUM
ejpam-3634	228	34	.	.	PUNCT
ejpam-3634	229	1	we	we	PRON
ejpam-3634	229	2	assume	assume	VERB
ejpam-3634	229	3	that	that	SCONJ
ejpam-3634	229	4	xn	xn	PROPN
ejpam-3634	229	5	is	be	AUX
ejpam-3634	229	6	a	a	DET
ejpam-3634	229	7	neutrosophic	neutrosophic	ADJ
ejpam-3634	229	8	n	n	CCONJ
ejpam-3634	229	9	-	-	PUNCT
ejpam-3634	229	10	ary	ary	PROPN
ejpam-3634	229	11	n	n	NUM
ejpam-3634	229	12	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	229	13	of	of	ADP
ejpam-3634	229	14	x	x	PUNCT
ejpam-3634	229	15	and	and	CCONJ
ejpam-3634	229	16	let	let	VERB
ejpam-3634	229	17	x	x	X
ejpam-3634	229	18	∈	∈	PROPN
ejpam-3634	229	19	x.	x.	NOUN
ejpam-3634	230	1	if	if	SCONJ
ejpam-3634	230	2	x	x	SYM
ejpam-3634	230	3	6=	6=	ADP
ejpam-3634	230	4	f(xn1	f(xn1	PROPN
ejpam-3634	230	5	)	)	PUNCT
ejpam-3634	230	6	for	for	ADP
ejpam-3634	230	7	all	all	DET
ejpam-3634	230	8	x1	x1	PROPN
ejpam-3634	230	9	,	,	PUNCT
ejpam-3634	230	10	.	.	PUNCT
ejpam-3634	230	11	.	.	PUNCT
ejpam-3634	230	12	.	.	PUNCT
ejpam-3634	231	1	,	,	PUNCT
ejpam-3634	231	2	xn	xn	PUNCT
ejpam-3634	231	3	∈	∈	PROPN
ejpam-3634	231	4	x	x	X
ejpam-3634	231	5	,	,	PUNCT
ejpam-3634	231	6	then	then	ADV
ejpam-3634	231	7	this	this	PRON
ejpam-3634	231	8	clearly	clearly	ADV
ejpam-3634	231	9	forces	force	VERB
ejpam-3634	231	10	�	�	PROPN
ejpam-3634	231	11	(	(	PUNCT
ejpam-3634	231	12	xn	xn	PROPN
ejpam-3634	231	13	)	)	PUNCT
ejpam-3634	231	14	(	(	PUNCT
ejpam-3634	231	15	n	n	CCONJ
ejpam-3634	231	16	)	)	PUNCT
ejpam-3634	231	17	⊆	⊆	NUM
ejpam-3634	231	18	xn	xn	PUNCT
ejpam-3634	231	19	.	.	PUNCT
ejpam-3634	232	1	suppose	suppose	VERB
ejpam-3634	232	2	that	that	SCONJ
ejpam-3634	232	3	there	there	PRON
ejpam-3634	232	4	are	be	VERB
ejpam-3634	232	5	x1	x1	PROPN
ejpam-3634	232	6	,	,	PUNCT
ejpam-3634	232	7	.	.	PUNCT
ejpam-3634	232	8	.	.	PUNCT
ejpam-3634	233	1	.	.	PUNCT
ejpam-3634	234	1	,	,	PUNCT
ejpam-3634	234	2	xn	xn	PUNCT
ejpam-3634	234	3	∈	∈	PROPN
ejpam-3634	234	4	x	x	PUNCT
ejpam-3634	234	5	such	such	ADJ
ejpam-3634	234	6	that	that	SCONJ
ejpam-3634	234	7	x	x	PROPN
ejpam-3634	234	8	=	=	SYM
ejpam-3634	234	9	f(xn1	f(xn1	PROPN
ejpam-3634	234	10	)	)	PUNCT
ejpam-3634	234	11	,	,	PUNCT
ejpam-3634	234	12	we	we	PRON
ejpam-3634	234	13	obtain	obtain	VERB
ejpam-3634	234	14	�	�	PROPN
ejpam-3634	234	15	(	(	PUNCT
ejpam-3634	234	16	tn	tn	NOUN
ejpam-3634	234	17	)	)	PUNCT
ejpam-3634	234	18	(	(	PUNCT
ejpam-3634	234	19	n)(x	n)(x	PROPN
ejpam-3634	234	20	)	)	PUNCT
ejpam-3634	234	21	=	=	PUNCT
ejpam-3634	235	1	∧	∧	PROPN
ejpam-3634	235	2	x	x	SYM
ejpam-3634	235	3	=	=	SYM
ejpam-3634	235	4	f(xn1	f(xn1	X
ejpam-3634	235	5	)	)	PUNCT
ejpam-3634	235	6	{	{	PUNCT
ejpam-3634	235	7	tn	tn	PROPN
ejpam-3634	235	8	(	(	PUNCT
ejpam-3634	235	9	x1	x1	PROPN
ejpam-3634	235	10	)	)	PUNCT
ejpam-3634	235	11	∨	∨	NOUN
ejpam-3634	235	12	.	.	PUNCT
ejpam-3634	235	13	.	.	PUNCT
ejpam-3634	235	14	.	.	PUNCT
ejpam-3634	236	1	∨	∨	NUM
ejpam-3634	236	2	tn	tn	PROPN
ejpam-3634	236	3	(	(	PUNCT
ejpam-3634	236	4	xn	xn	PROPN
ejpam-3634	236	5	)	)	PUNCT
ejpam-3634	236	6	}	}	PUNCT
ejpam-3634	236	7	≥	≥	X
ejpam-3634	237	1	∧	∧	NOUN
ejpam-3634	237	2	x	x	SYM
ejpam-3634	237	3	=	=	SYM
ejpam-3634	237	4	f(xn1	f(xn1	ADJ
ejpam-3634	237	5	)	)	PUNCT
ejpam-3634	237	6	tn	tn	PROPN
ejpam-3634	237	7	(	(	PUNCT
ejpam-3634	237	8	f(xn1	f(xn1	PROPN
ejpam-3634	237	9	)	)	PUNCT
ejpam-3634	237	10	)	)	PUNCT
ejpam-3634	238	1	=	=	SYM
ejpam-3634	238	2	tn	tn	PROPN
ejpam-3634	238	3	(	(	PUNCT
ejpam-3634	238	4	x	x	NOUN
ejpam-3634	238	5	)	)	PUNCT
ejpam-3634	238	6	,	,	PUNCT
ejpam-3634	238	7	�	�	PROPN
ejpam-3634	238	8	(	(	PUNCT
ejpam-3634	238	9	in	in	ADP
ejpam-3634	238	10	)	)	PUNCT
ejpam-3634	238	11	(	(	PUNCT
ejpam-3634	238	12	n)(x	n)(x	PROPN
ejpam-3634	238	13	)	)	PUNCT
ejpam-3634	238	14	=	=	PUNCT
ejpam-3634	239	1	∨	∨	NUM
ejpam-3634	239	2	x	x	X
ejpam-3634	239	3	=	=	SYM
ejpam-3634	239	4	f(xn1	f(xn1	X
ejpam-3634	239	5	)	)	PUNCT
ejpam-3634	239	6	{	{	PUNCT
ejpam-3634	239	7	in	in	ADP
ejpam-3634	239	8	(	(	PUNCT
ejpam-3634	239	9	x1	x1	ADJ
ejpam-3634	239	10	)	)	PUNCT
ejpam-3634	239	11	∧	∧	PROPN
ejpam-3634	239	12	.	.	PUNCT
ejpam-3634	239	13	.	.	PUNCT
ejpam-3634	240	1	.	.	PUNCT
ejpam-3634	241	1	∧	∧	NOUN
ejpam-3634	241	2	in	in	ADP
ejpam-3634	241	3	(	(	PUNCT
ejpam-3634	241	4	xn	xn	NOUN
ejpam-3634	241	5	)	)	PUNCT
ejpam-3634	241	6	}	}	PUNCT
ejpam-3634	241	7	≤	≤	NOUN
ejpam-3634	241	8	∨	∨	NUM
ejpam-3634	241	9	x	x	SYM
ejpam-3634	241	10	=	=	NOUN
ejpam-3634	241	11	f(xn1	f(xn1	NOUN
ejpam-3634	241	12	)	)	PUNCT
ejpam-3634	241	13	in	in	ADP
ejpam-3634	241	14	(	(	PUNCT
ejpam-3634	241	15	f(xn1	f(xn1	PROPN
ejpam-3634	241	16	)	)	PUNCT
ejpam-3634	241	17	)	)	PUNCT
ejpam-3634	242	1	=	=	NOUN
ejpam-3634	242	2	in	in	ADP
ejpam-3634	242	3	(	(	PUNCT
ejpam-3634	242	4	x	x	NOUN
ejpam-3634	242	5	)	)	PUNCT
ejpam-3634	242	6	,	,	PUNCT
ejpam-3634	242	7	�	�	PROPN
ejpam-3634	242	8	(	(	PUNCT
ejpam-3634	242	9	fn	fn	NOUN
ejpam-3634	242	10	)	)	PUNCT
ejpam-3634	242	11	(	(	PUNCT
ejpam-3634	242	12	n)(x	n)(x	PROPN
ejpam-3634	242	13	)	)	PUNCT
ejpam-3634	242	14	=	=	PUNCT
ejpam-3634	243	1	∧	∧	PROPN
ejpam-3634	243	2	x	x	SYM
ejpam-3634	243	3	=	=	SYM
ejpam-3634	243	4	f(xn1	f(xn1	X
ejpam-3634	243	5	)	)	PUNCT
ejpam-3634	243	6	{	{	PUNCT
ejpam-3634	243	7	fn	fn	NOUN
ejpam-3634	243	8	(	(	PUNCT
ejpam-3634	243	9	x1	x1	PROPN
ejpam-3634	243	10	)	)	PUNCT
ejpam-3634	243	11	∨	∨	NOUN
ejpam-3634	243	12	.	.	PUNCT
ejpam-3634	243	13	.	.	PUNCT
ejpam-3634	243	14	.	.	PUNCT
ejpam-3634	244	1	∨	∨	NUM
ejpam-3634	244	2	fn	fn	PROPN
ejpam-3634	244	3	(	(	PUNCT
ejpam-3634	244	4	xn	xn	PROPN
ejpam-3634	244	5	)	)	PUNCT
ejpam-3634	244	6	}	}	PUNCT
ejpam-3634	244	7	≥	≥	X
ejpam-3634	244	8	∧	∧	NOUN
ejpam-3634	244	9	x	x	SYM
ejpam-3634	244	10	=	=	SYM
ejpam-3634	244	11	f(xn1	f(xn1	ADJ
ejpam-3634	244	12	)	)	PUNCT
ejpam-3634	244	13	fn	fn	PROPN
ejpam-3634	244	14	(	(	PUNCT
ejpam-3634	244	15	f(xn1	f(xn1	PROPN
ejpam-3634	244	16	)	)	PUNCT
ejpam-3634	244	17	)	)	PUNCT
ejpam-3634	245	1	=	=	SYM
ejpam-3634	245	2	fn	fn	INTJ
ejpam-3634	245	3	(	(	PUNCT
ejpam-3634	245	4	x	x	NOUN
ejpam-3634	245	5	)	)	PUNCT
ejpam-3634	245	6	.	.	PUNCT
ejpam-3634	246	1	therefore	therefore	ADV
ejpam-3634	246	2	�	�	PROPN
ejpam-3634	246	3	(	(	PUNCT
ejpam-3634	246	4	xn	xn	PROPN
ejpam-3634	246	5	)	)	PUNCT
ejpam-3634	246	6	(	(	PUNCT
ejpam-3634	246	7	n	n	CCONJ
ejpam-3634	246	8	)	)	PUNCT
ejpam-3634	246	9	⊆	⊆	NUM
ejpam-3634	246	10	xn	xn	NUM
ejpam-3634	246	11	.	.	PUNCT
ejpam-3634	247	1	conversely	conversely	ADV
ejpam-3634	247	2	,	,	PUNCT
ejpam-3634	247	3	letxn	letxn	NOUN
ejpam-3634	247	4	be	be	AUX
ejpam-3634	247	5	any	any	DET
ejpam-3634	247	6	neutrosophic	neutrosophic	ADJ
ejpam-3634	247	7	n	n	CCONJ
ejpam-3634	247	8	-	-	PUNCT
ejpam-3634	247	9	aryn	aryn	PROPN
ejpam-3634	247	10	-subgroupoid	-subgroupoid	PROPN
ejpam-3634	247	11	ofx	ofx	PROPN
ejpam-3634	247	12	such	such	ADJ
ejpam-3634	247	13	that	that	DET
ejpam-3634	247	14	�	�	PROPN
ejpam-3634	247	15	(xn	(xn	PUNCT
ejpam-3634	247	16	)	)	PUNCT
ejpam-3634	247	17	(	(	PUNCT
ejpam-3634	247	18	n	n	CCONJ
ejpam-3634	247	19	)	)	PUNCT
ejpam-3634	248	1	⊆	⊆	NUM
ejpam-3634	248	2	xn	xn	NUM
ejpam-3634	248	3	.	.	PUNCT
ejpam-3634	249	1	we	we	PRON
ejpam-3634	249	2	only	only	ADV
ejpam-3634	249	3	need	need	VERB
ejpam-3634	249	4	to	to	PART
ejpam-3634	249	5	show	show	VERB
ejpam-3634	249	6	that	that	SCONJ
ejpam-3634	249	7	xn	xn	PROPN
ejpam-3634	249	8	is	be	AUX
ejpam-3634	249	9	a	a	DET
ejpam-3634	249	10	neutrosophic	neutrosophic	ADJ
ejpam-3634	249	11	n	n	CCONJ
ejpam-3634	249	12	-	-	PUNCT
ejpam-3634	249	13	ary	ary	PROPN
ejpam-3634	249	14	n	n	NUM
ejpam-3634	249	15	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	249	16	of	of	ADP
ejpam-3634	249	17	x.	x.	NOUN
ejpam-3634	249	18	let	let	VERB
ejpam-3634	249	19	x1	x1	PROPN
ejpam-3634	249	20	,	,	PUNCT
ejpam-3634	249	21	.	.	PUNCT
ejpam-3634	249	22	.	.	PUNCT
ejpam-3634	249	23	.	.	PUNCT
ejpam-3634	250	1	,	,	PUNCT
ejpam-3634	250	2	xn	xn	PROPN
ejpam-3634	250	3	be	be	AUX
ejpam-3634	250	4	elements	element	NOUN
ejpam-3634	250	5	of	of	ADP
ejpam-3634	250	6	x	x	PUNCT
ejpam-3634	250	7	and	and	CCONJ
ejpam-3634	250	8	let	let	VERB
ejpam-3634	250	9	x	x	SYM
ejpam-3634	250	10	=	=	SYM
ejpam-3634	250	11	f(xn1	f(xn1	PROPN
ejpam-3634	250	12	)	)	PUNCT
ejpam-3634	250	13	.	.	PUNCT
ejpam-3634	251	1	then	then	ADV
ejpam-3634	251	2	tn	tn	PROPN
ejpam-3634	251	3	(	(	PUNCT
ejpam-3634	251	4	f(xn1	f(xn1	PROPN
ejpam-3634	251	5	)	)	PUNCT
ejpam-3634	251	6	)	)	PUNCT
ejpam-3634	252	1	=	=	SYM
ejpam-3634	252	2	tn	tn	PROPN
ejpam-3634	252	3	(	(	PUNCT
ejpam-3634	252	4	x	x	NOUN
ejpam-3634	252	5	)	)	PUNCT
ejpam-3634	252	6	≤	≤	NUM
ejpam-3634	252	7	�	�	PROPN
ejpam-3634	252	8	(	(	PUNCT
ejpam-3634	252	9	tn	tn	PROPN
ejpam-3634	252	10	)	)	PUNCT
ejpam-3634	252	11	(	(	PUNCT
ejpam-3634	252	12	n)(x	n)(x	PROPN
ejpam-3634	252	13	)	)	PUNCT
ejpam-3634	252	14	=	=	PUNCT
ejpam-3634	253	1	∧	∧	PROPN
ejpam-3634	253	2	x	x	SYM
ejpam-3634	253	3	=	=	SYM
ejpam-3634	253	4	f(xn1	f(xn1	X
ejpam-3634	253	5	)	)	PUNCT
ejpam-3634	253	6	{	{	PUNCT
ejpam-3634	253	7	tn	tn	PROPN
ejpam-3634	253	8	(	(	PUNCT
ejpam-3634	253	9	x1	x1	PROPN
ejpam-3634	253	10	)	)	PUNCT
ejpam-3634	253	11	∨	∨	NOUN
ejpam-3634	253	12	.	.	PUNCT
ejpam-3634	253	13	.	.	PUNCT
ejpam-3634	253	14	.	.	PUNCT
ejpam-3634	254	1	∨	∨	NUM
ejpam-3634	254	2	tn	tn	PROPN
ejpam-3634	254	3	(	(	PUNCT
ejpam-3634	254	4	xn	xn	PROPN
ejpam-3634	254	5	)	)	PUNCT
ejpam-3634	254	6	}	}	PUNCT
ejpam-3634	254	7	≤	≤	NUM
ejpam-3634	254	8	tn	tn	PROPN
ejpam-3634	254	9	(	(	PUNCT
ejpam-3634	254	10	x1	x1	PROPN
ejpam-3634	254	11	)	)	PUNCT
ejpam-3634	254	12	∨	∨	NOUN
ejpam-3634	254	13	.	.	PUNCT
ejpam-3634	254	14	.	.	PUNCT
ejpam-3634	254	15	.	.	PUNCT
ejpam-3634	255	1	∨	∨	NUM
ejpam-3634	255	2	tn	tn	PROPN
ejpam-3634	255	3	(	(	PUNCT
ejpam-3634	255	4	xn	xn	PROPN
ejpam-3634	255	5	)	)	PUNCT
ejpam-3634	255	6	,	,	PUNCT
ejpam-3634	255	7	in	in	ADP
ejpam-3634	255	8	(	(	PUNCT
ejpam-3634	255	9	f(xn1	f(xn1	PROPN
ejpam-3634	255	10	)	)	PUNCT
ejpam-3634	255	11	)	)	PUNCT
ejpam-3634	256	1	=	=	NOUN
ejpam-3634	256	2	in	in	ADP
ejpam-3634	256	3	(	(	PUNCT
ejpam-3634	256	4	x	x	NOUN
ejpam-3634	256	5	)	)	PUNCT
ejpam-3634	256	6	≥	≥	PROPN
ejpam-3634	256	7	�	�	PROPN
ejpam-3634	256	8	(	(	PUNCT
ejpam-3634	256	9	in	in	ADP
ejpam-3634	256	10	)	)	PUNCT
ejpam-3634	256	11	(	(	PUNCT
ejpam-3634	256	12	n)(x	n)(x	PROPN
ejpam-3634	256	13	)	)	PUNCT
ejpam-3634	256	14	=	=	PUNCT
ejpam-3634	257	1	∨	∨	NUM
ejpam-3634	257	2	x	x	X
ejpam-3634	257	3	=	=	SYM
ejpam-3634	257	4	f(xn1	f(xn1	X
ejpam-3634	257	5	)	)	PUNCT
ejpam-3634	257	6	{	{	PUNCT
ejpam-3634	257	7	in	in	ADP
ejpam-3634	257	8	(	(	PUNCT
ejpam-3634	257	9	x1	x1	ADJ
ejpam-3634	257	10	)	)	PUNCT
ejpam-3634	257	11	∧	∧	PROPN
ejpam-3634	257	12	.	.	PUNCT
ejpam-3634	257	13	.	.	PUNCT
ejpam-3634	258	1	.	.	PUNCT
ejpam-3634	259	1	∧	∧	NOUN
ejpam-3634	259	2	in	in	ADP
ejpam-3634	259	3	(	(	PUNCT
ejpam-3634	259	4	xn	xn	NOUN
ejpam-3634	259	5	)	)	PUNCT
ejpam-3634	259	6	}	}	PUNCT
ejpam-3634	259	7	≥	≥	NOUN
ejpam-3634	259	8	in	in	ADP
ejpam-3634	259	9	(	(	PUNCT
ejpam-3634	259	10	x1	x1	ADJ
ejpam-3634	259	11	)	)	PUNCT
ejpam-3634	259	12	∧	∧	PROPN
ejpam-3634	259	13	.	.	PUNCT
ejpam-3634	259	14	.	.	PUNCT
ejpam-3634	259	15	.	.	PUNCT
ejpam-3634	260	1	∧	∧	NOUN
ejpam-3634	260	2	in	in	ADP
ejpam-3634	260	3	(	(	PUNCT
ejpam-3634	260	4	xn	xn	PROPN
ejpam-3634	260	5	)	)	PUNCT
ejpam-3634	260	6	,	,	PUNCT
ejpam-3634	260	7	a.	a.	NOUN
ejpam-3634	260	8	rattana	rattana	PROPN
ejpam-3634	260	9	,	,	PUNCT
ejpam-3634	260	10	r.	r.	PROPN
ejpam-3634	260	11	chinram	chinram	PROPN
ejpam-3634	260	12	/	/	SYM
ejpam-3634	260	13	eur	eur	PROPN
ejpam-3634	260	14	.	.	PUNCT
ejpam-3634	261	1	j.	j.	PROPN
ejpam-3634	261	2	pure	pure	PROPN
ejpam-3634	261	3	appl	appl	PROPN
ejpam-3634	261	4	.	.	PROPN
ejpam-3634	261	5	math	math	PROPN
ejpam-3634	261	6	,	,	PUNCT
ejpam-3634	261	7	13	13	NUM
ejpam-3634	261	8	(	(	PUNCT
ejpam-3634	261	9	2	2	NUM
ejpam-3634	261	10	)	)	PUNCT
ejpam-3634	261	11	(	(	PUNCT
ejpam-3634	261	12	2020	2020	NUM
ejpam-3634	261	13	)	)	PUNCT
ejpam-3634	261	14	,	,	PUNCT
ejpam-3634	261	15	200	200	NUM
ejpam-3634	261	16	-	-	SYM
ejpam-3634	261	17	215	215	NUM
ejpam-3634	261	18	207	207	NUM
ejpam-3634	261	19	fn	fn	NOUN
ejpam-3634	261	20	(	(	PUNCT
ejpam-3634	261	21	f(xn1	f(xn1	PROPN
ejpam-3634	261	22	)	)	PUNCT
ejpam-3634	261	23	)	)	PUNCT
ejpam-3634	262	1	=	=	SYM
ejpam-3634	262	2	fn	fn	INTJ
ejpam-3634	262	3	(	(	PUNCT
ejpam-3634	262	4	x	x	NOUN
ejpam-3634	262	5	)	)	PUNCT
ejpam-3634	262	6	≤	≤	NUM
ejpam-3634	262	7	�	�	PROPN
ejpam-3634	262	8	(	(	PUNCT
ejpam-3634	262	9	fn	fn	NOUN
ejpam-3634	262	10	)	)	PUNCT
ejpam-3634	262	11	(	(	PUNCT
ejpam-3634	262	12	n)(x	n)(x	PROPN
ejpam-3634	262	13	)	)	PUNCT
ejpam-3634	262	14	=	=	PUNCT
ejpam-3634	263	1	∧	∧	PROPN
ejpam-3634	263	2	x	x	SYM
ejpam-3634	263	3	=	=	SYM
ejpam-3634	263	4	f(xn1	f(xn1	X
ejpam-3634	263	5	)	)	PUNCT
ejpam-3634	263	6	{	{	PUNCT
ejpam-3634	263	7	fn	fn	NOUN
ejpam-3634	263	8	(	(	PUNCT
ejpam-3634	263	9	x1	x1	PROPN
ejpam-3634	263	10	)	)	PUNCT
ejpam-3634	263	11	∨	∨	NOUN
ejpam-3634	263	12	.	.	PUNCT
ejpam-3634	263	13	.	.	PUNCT
ejpam-3634	263	14	.	.	PUNCT
ejpam-3634	264	1	∨	∨	NUM
ejpam-3634	264	2	fn	fn	PROPN
ejpam-3634	264	3	(	(	PUNCT
ejpam-3634	264	4	xn	xn	PROPN
ejpam-3634	264	5	)	)	PUNCT
ejpam-3634	264	6	}	}	PUNCT
ejpam-3634	264	7	≤	≤	NUM
ejpam-3634	265	1	fn	fn	NOUN
ejpam-3634	265	2	(	(	PUNCT
ejpam-3634	265	3	x1	x1	PROPN
ejpam-3634	265	4	)	)	PUNCT
ejpam-3634	265	5	∨	∨	NOUN
ejpam-3634	265	6	.	.	PUNCT
ejpam-3634	265	7	.	.	PUNCT
ejpam-3634	265	8	.	.	PUNCT
ejpam-3634	266	1	∨	∨	NUM
ejpam-3634	266	2	fn	fn	PROPN
ejpam-3634	266	3	(	(	PUNCT
ejpam-3634	266	4	xn	xn	PROPN
ejpam-3634	266	5	)	)	PUNCT
ejpam-3634	266	6	.	.	PUNCT
ejpam-3634	267	1	therefore	therefore	ADV
ejpam-3634	267	2	xn	xn	PROPN
ejpam-3634	267	3	is	be	AUX
ejpam-3634	267	4	a	a	DET
ejpam-3634	267	5	neutrosophic	neutrosophic	ADJ
ejpam-3634	267	6	n	n	CCONJ
ejpam-3634	267	7	-	-	PUNCT
ejpam-3634	267	8	ary	ary	PROPN
ejpam-3634	267	9	n	n	NUM
ejpam-3634	267	10	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	267	11	of	of	ADP
ejpam-3634	267	12	x.	x.	PROPN
ejpam-3634	267	13	theorem	theorem	VERB
ejpam-3634	267	14	5	5	NUM
ejpam-3634	267	15	.	.	PUNCT
ejpam-3634	268	1	let	let	VERB
ejpam-3634	268	2	x	x	PRON
ejpam-3634	268	3	be	be	AUX
ejpam-3634	268	4	an	an	DET
ejpam-3634	268	5	n	n	CCONJ
ejpam-3634	268	6	-	-	PUNCT
ejpam-3634	268	7	ary	ary	NOUN
ejpam-3634	268	8	groupoid	groupoid	NOUN
ejpam-3634	268	9	with	with	ADP
ejpam-3634	268	10	identity	identity	NOUN
ejpam-3634	268	11	e	e	NOUN
ejpam-3634	268	12	and	and	CCONJ
ejpam-3634	268	13	let	let	VERB
ejpam-3634	268	14	xn	xn	PROPN
ejpam-3634	269	1	:	:	PUNCT
ejpam-3634	269	2	=	=	SYM
ejpam-3634	269	3	x	x	X
ejpam-3634	269	4	(	(	PUNCT
ejpam-3634	269	5	tn	tn	NOUN
ejpam-3634	269	6	,	,	PUNCT
ejpam-3634	269	7	in	in	ADP
ejpam-3634	269	8	,	,	PUNCT
ejpam-3634	269	9	fn	fn	INTJ
ejpam-3634	269	10	)	)	PUNCT
ejpam-3634	269	11	be	be	AUX
ejpam-3634	269	12	a	a	DET
ejpam-3634	269	13	neutrosophic	neutrosophic	ADJ
ejpam-3634	269	14	n	n	CCONJ
ejpam-3634	269	15	-	-	PUNCT
ejpam-3634	269	16	ary	ary	PROPN
ejpam-3634	269	17	n	n	CCONJ
ejpam-3634	269	18	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	269	19	over	over	ADP
ejpam-3634	269	20	x	x	ADP
ejpam-3634	269	21	such	such	ADJ
ejpam-3634	269	22	that	that	SCONJ
ejpam-3634	269	23	xn	xn	PROPN
ejpam-3634	270	1	(	(	PUNCT
ejpam-3634	270	2	e	e	NOUN
ejpam-3634	270	3	)	)	PUNCT
ejpam-3634	270	4	≥	≥	NOUN
ejpam-3634	270	5	xn	xn	PROPN
ejpam-3634	271	1	(	(	PUNCT
ejpam-3634	271	2	x	x	X
ejpam-3634	271	3	)	)	PUNCT
ejpam-3634	271	4	for	for	ADP
ejpam-3634	271	5	all	all	DET
ejpam-3634	271	6	x	x	SYM
ejpam-3634	271	7	∈	∈	PROPN
ejpam-3634	271	8	x	x	NOUN
ejpam-3634	271	9	,	,	PUNCT
ejpam-3634	271	10	that	that	ADV
ejpam-3634	271	11	is	is	ADV
ejpam-3634	271	12	,	,	PUNCT
ejpam-3634	271	13	tn	tn	PROPN
ejpam-3634	271	14	(	(	PUNCT
ejpam-3634	271	15	e	e	NOUN
ejpam-3634	271	16	)	)	PUNCT
ejpam-3634	271	17	≤	≤	PROPN
ejpam-3634	271	18	tn	tn	PROPN
ejpam-3634	271	19	(	(	PUNCT
ejpam-3634	271	20	x	x	NOUN
ejpam-3634	271	21	)	)	PUNCT
ejpam-3634	271	22	,	,	PUNCT
ejpam-3634	271	23	in	in	ADP
ejpam-3634	271	24	(	(	PUNCT
ejpam-3634	271	25	e	e	NOUN
ejpam-3634	271	26	)	)	PUNCT
ejpam-3634	271	27	≥	≥	NOUN
ejpam-3634	271	28	in	in	ADP
ejpam-3634	271	29	(	(	PUNCT
ejpam-3634	271	30	x	x	NOUN
ejpam-3634	271	31	)	)	PUNCT
ejpam-3634	271	32	and	and	CCONJ
ejpam-3634	271	33	fn	fn	INTJ
ejpam-3634	271	34	(	(	PUNCT
ejpam-3634	271	35	e	e	NOUN
ejpam-3634	271	36	)	)	PUNCT
ejpam-3634	271	37	≤	≤	NUM
ejpam-3634	271	38	fn	fn	NOUN
ejpam-3634	271	39	(	(	PUNCT
ejpam-3634	271	40	x	x	NOUN
ejpam-3634	271	41	)	)	PUNCT
ejpam-3634	271	42	for	for	ADP
ejpam-3634	271	43	all	all	DET
ejpam-3634	271	44	x	x	SYM
ejpam-3634	271	45	∈	∈	PROPN
ejpam-3634	271	46	x.	x.	NOUN
ejpam-3634	272	1	if	if	SCONJ
ejpam-3634	272	2	xn	xn	PROPN
ejpam-3634	272	3	is	be	AUX
ejpam-3634	272	4	a	a	DET
ejpam-3634	272	5	neutrosophic	neutrosophic	ADJ
ejpam-3634	272	6	n	n	CCONJ
ejpam-3634	272	7	-	-	PUNCT
ejpam-3634	272	8	ary	ary	PROPN
ejpam-3634	272	9	n	n	NUM
ejpam-3634	272	10	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	272	11	of	of	ADP
ejpam-3634	272	12	x	x	NOUN
ejpam-3634	272	13	,	,	PUNCT
ejpam-3634	272	14	then	then	ADV
ejpam-3634	272	15	�	�	PROPN
ejpam-3634	272	16	(	(	PUNCT
ejpam-3634	272	17	xn	xn	PROPN
ejpam-3634	272	18	)	)	PUNCT
ejpam-3634	272	19	(	(	PUNCT
ejpam-3634	272	20	n	n	CCONJ
ejpam-3634	272	21	)	)	PUNCT
ejpam-3634	273	1	=	=	SYM
ejpam-3634	273	2	xn	xn	PROPN
ejpam-3634	273	3	.	.	PUNCT
ejpam-3634	274	1	proof	proof	NOUN
ejpam-3634	274	2	.	.	PUNCT
ejpam-3634	275	1	for	for	ADP
ejpam-3634	275	2	any	any	DET
ejpam-3634	275	3	x	x	SYM
ejpam-3634	275	4	∈	∈	PROPN
ejpam-3634	275	5	x	x	NOUN
ejpam-3634	275	6	,	,	PUNCT
ejpam-3634	275	7	we	we	PRON
ejpam-3634	275	8	have	have	VERB
ejpam-3634	275	9	�	�	PROPN
ejpam-3634	275	10	(	(	PUNCT
ejpam-3634	275	11	tn	tn	NOUN
ejpam-3634	275	12	)	)	PUNCT
ejpam-3634	275	13	(	(	PUNCT
ejpam-3634	275	14	n)(x	n)(x	PROPN
ejpam-3634	275	15	)	)	PUNCT
ejpam-3634	275	16	=	=	PUNCT
ejpam-3634	276	1	∧	∧	PROPN
ejpam-3634	276	2	x	x	SYM
ejpam-3634	276	3	=	=	SYM
ejpam-3634	276	4	f(xn1	f(xn1	X
ejpam-3634	276	5	)	)	PUNCT
ejpam-3634	276	6	{	{	PUNCT
ejpam-3634	276	7	tn	tn	PROPN
ejpam-3634	276	8	(	(	PUNCT
ejpam-3634	276	9	x1	x1	PROPN
ejpam-3634	276	10	)	)	PUNCT
ejpam-3634	276	11	∨	∨	NOUN
ejpam-3634	276	12	.	.	PUNCT
ejpam-3634	276	13	.	.	PUNCT
ejpam-3634	276	14	.	.	PUNCT
ejpam-3634	277	1	∨	∨	NUM
ejpam-3634	277	2	tn	tn	PROPN
ejpam-3634	277	3	(	(	PUNCT
ejpam-3634	277	4	xn	xn	PROPN
ejpam-3634	277	5	)	)	PUNCT
ejpam-3634	277	6	}	}	PUNCT
ejpam-3634	277	7	≤	≤	NUM
ejpam-3634	277	8	tn	tn	NOUN
ejpam-3634	277	9	(	(	PUNCT
ejpam-3634	277	10	x	x	NOUN
ejpam-3634	277	11	)	)	PUNCT
ejpam-3634	277	12	∨	∨	NUM
ejpam-3634	277	13	tn	tn	PROPN
ejpam-3634	277	14	(	(	PUNCT
ejpam-3634	277	15	e	e	NOUN
ejpam-3634	277	16	)	)	PUNCT
ejpam-3634	277	17	=	=	SYM
ejpam-3634	277	18	tn	tn	PROPN
ejpam-3634	277	19	(	(	PUNCT
ejpam-3634	277	20	x	x	NOUN
ejpam-3634	277	21	)	)	PUNCT
ejpam-3634	277	22	,	,	PUNCT
ejpam-3634	277	23	�	�	PROPN
ejpam-3634	277	24	(	(	PUNCT
ejpam-3634	277	25	in	in	ADP
ejpam-3634	277	26	)	)	PUNCT
ejpam-3634	277	27	(	(	PUNCT
ejpam-3634	277	28	n)(x	n)(x	PROPN
ejpam-3634	277	29	)	)	PUNCT
ejpam-3634	277	30	=	=	PUNCT
ejpam-3634	278	1	∨	∨	NUM
ejpam-3634	278	2	x	x	X
ejpam-3634	278	3	=	=	SYM
ejpam-3634	278	4	f(xn1	f(xn1	X
ejpam-3634	278	5	)	)	PUNCT
ejpam-3634	278	6	{	{	PUNCT
ejpam-3634	278	7	in	in	ADP
ejpam-3634	278	8	(	(	PUNCT
ejpam-3634	278	9	x1	x1	ADJ
ejpam-3634	278	10	)	)	PUNCT
ejpam-3634	278	11	∧	∧	PROPN
ejpam-3634	278	12	.	.	PUNCT
ejpam-3634	278	13	.	.	PUNCT
ejpam-3634	279	1	.	.	PUNCT
ejpam-3634	280	1	∧	∧	NOUN
ejpam-3634	280	2	in	in	ADP
ejpam-3634	280	3	(	(	PUNCT
ejpam-3634	280	4	xn	xn	NOUN
ejpam-3634	280	5	)	)	PUNCT
ejpam-3634	280	6	}	}	PUNCT
ejpam-3634	280	7	≥	≥	NOUN
ejpam-3634	280	8	in	in	ADP
ejpam-3634	280	9	(	(	PUNCT
ejpam-3634	280	10	x	x	NOUN
ejpam-3634	280	11	)	)	PUNCT
ejpam-3634	280	12	∧	∧	NOUN
ejpam-3634	280	13	in	in	ADP
ejpam-3634	280	14	(	(	PUNCT
ejpam-3634	280	15	e	e	NOUN
ejpam-3634	280	16	)	)	PUNCT
ejpam-3634	280	17	=	=	NOUN
ejpam-3634	280	18	in	in	ADP
ejpam-3634	280	19	(	(	PUNCT
ejpam-3634	280	20	x	x	NOUN
ejpam-3634	280	21	)	)	PUNCT
ejpam-3634	280	22	,	,	PUNCT
ejpam-3634	280	23	�	�	PROPN
ejpam-3634	280	24	(	(	PUNCT
ejpam-3634	280	25	fn	fn	NOUN
ejpam-3634	280	26	)	)	PUNCT
ejpam-3634	280	27	(	(	PUNCT
ejpam-3634	280	28	n)(x	n)(x	PROPN
ejpam-3634	280	29	)	)	PUNCT
ejpam-3634	280	30	=	=	PUNCT
ejpam-3634	281	1	∧	∧	PROPN
ejpam-3634	281	2	x	x	SYM
ejpam-3634	281	3	=	=	SYM
ejpam-3634	281	4	f(xn1	f(xn1	X
ejpam-3634	281	5	)	)	PUNCT
ejpam-3634	281	6	{	{	PUNCT
ejpam-3634	281	7	fn	fn	NOUN
ejpam-3634	281	8	(	(	PUNCT
ejpam-3634	281	9	x1	x1	PROPN
ejpam-3634	281	10	)	)	PUNCT
ejpam-3634	281	11	∨	∨	NOUN
ejpam-3634	281	12	.	.	PUNCT
ejpam-3634	281	13	.	.	PUNCT
ejpam-3634	281	14	.	.	PUNCT
ejpam-3634	282	1	∨	∨	NUM
ejpam-3634	282	2	fn	fn	PROPN
ejpam-3634	282	3	(	(	PUNCT
ejpam-3634	282	4	xn	xn	PROPN
ejpam-3634	282	5	)	)	PUNCT
ejpam-3634	282	6	}	}	PUNCT
ejpam-3634	282	7	≤	≤	NUM
ejpam-3634	283	1	fn	fn	NOUN
ejpam-3634	283	2	(	(	PUNCT
ejpam-3634	283	3	x	x	NOUN
ejpam-3634	283	4	)	)	PUNCT
ejpam-3634	283	5	∨	∨	NUM
ejpam-3634	283	6	fn	fn	NOUN
ejpam-3634	283	7	(	(	PUNCT
ejpam-3634	283	8	e	e	NOUN
ejpam-3634	283	9	)	)	PUNCT
ejpam-3634	283	10	=	=	SYM
ejpam-3634	283	11	fn	fn	INTJ
ejpam-3634	283	12	(	(	PUNCT
ejpam-3634	283	13	x	x	NOUN
ejpam-3634	283	14	)	)	PUNCT
ejpam-3634	283	15	.	.	PUNCT
ejpam-3634	284	1	this	this	PRON
ejpam-3634	284	2	shows	show	VERB
ejpam-3634	284	3	that	that	SCONJ
ejpam-3634	284	4	xn	xn	PROPN
ejpam-3634	284	5	⊆	⊆	NUM
ejpam-3634	284	6	�	�	PROPN
ejpam-3634	284	7	(	(	PUNCT
ejpam-3634	284	8	xn	xn	PROPN
ejpam-3634	284	9	)	)	PUNCT
ejpam-3634	284	10	(	(	PUNCT
ejpam-3634	284	11	n	n	CCONJ
ejpam-3634	284	12	)	)	PUNCT
ejpam-3634	284	13	.	.	PUNCT
ejpam-3634	285	1	from	from	ADP
ejpam-3634	285	2	theorem	theorem	ADJ
ejpam-3634	285	3	4	4	NUM
ejpam-3634	285	4	,	,	PUNCT
ejpam-3634	285	5	we	we	PRON
ejpam-3634	285	6	already	already	ADV
ejpam-3634	285	7	have	have	VERB
ejpam-3634	285	8	�	�	PROPN
ejpam-3634	285	9	(	(	PUNCT
ejpam-3634	285	10	xn	xn	PROPN
ejpam-3634	285	11	)	)	PUNCT
ejpam-3634	285	12	(	(	PUNCT
ejpam-3634	285	13	n	n	CCONJ
ejpam-3634	285	14	)	)	PUNCT
ejpam-3634	286	1	⊆	⊆	NUM
ejpam-3634	286	2	xn	xn	PUNCT
ejpam-3634	286	3	.	.	PUNCT
ejpam-3634	287	1	then	then	ADV
ejpam-3634	287	2	�	�	PROPN
ejpam-3634	287	3	(	(	PUNCT
ejpam-3634	287	4	xn	xn	PROPN
ejpam-3634	287	5	)	)	PUNCT
ejpam-3634	287	6	(	(	PUNCT
ejpam-3634	287	7	n	n	CCONJ
ejpam-3634	287	8	)	)	PUNCT
ejpam-3634	287	9	=	=	SYM
ejpam-3634	287	10	xn	xn	PROPN
ejpam-3634	287	11	.	.	PUNCT
ejpam-3634	288	1	definition	definition	NOUN
ejpam-3634	288	2	8	8	NUM
ejpam-3634	288	3	.	.	PUNCT
ejpam-3634	289	1	a	a	DET
ejpam-3634	289	2	neutrosophic	neutrosophic	ADJ
ejpam-3634	289	3	n	n	PRON
ejpam-3634	289	4	-structure	-structure	NOUN
ejpam-3634	289	5	xn	xn	NOUN
ejpam-3634	289	6	over	over	ADP
ejpam-3634	289	7	x	x	VERB
ejpam-3634	289	8	is	be	AUX
ejpam-3634	289	9	said	say	VERB
ejpam-3634	289	10	to	to	PART
ejpam-3634	289	11	be	be	AUX
ejpam-3634	289	12	an	an	DET
ejpam-3634	289	13	ε	ε	PROPN
ejpam-3634	289	14	-	-	PUNCT
ejpam-3634	289	15	neutrosophic	neutrosophic	ADJ
ejpam-3634	289	16	n	n	CCONJ
ejpam-3634	289	17	-	-	PUNCT
ejpam-3634	289	18	ary	ary	PROPN
ejpam-3634	289	19	n	n	NUM
ejpam-3634	289	20	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	289	21	of	of	ADP
ejpam-3634	289	22	x	x	PRON
ejpam-3634	289	23	if	if	SCONJ
ejpam-3634	289	24	the	the	DET
ejpam-3634	289	25	conditions	condition	NOUN
ejpam-3634	289	26	tn	tn	NOUN
ejpam-3634	289	27	(	(	PUNCT
ejpam-3634	289	28	f(xn1	f(xn1	PROPN
ejpam-3634	289	29	)	)	PUNCT
ejpam-3634	289	30	)	)	PUNCT
ejpam-3634	289	31	≤	≤	NUM
ejpam-3634	289	32	∨	∨	NUM
ejpam-3634	289	33	{	{	PUNCT
ejpam-3634	289	34	tn	tn	PROPN
ejpam-3634	289	35	(	(	PUNCT
ejpam-3634	289	36	x1	x1	PROPN
ejpam-3634	289	37	)	)	PUNCT
ejpam-3634	289	38	,	,	PUNCT
ejpam-3634	289	39	.	.	PUNCT
ejpam-3634	289	40	.	.	PUNCT
ejpam-3634	290	1	.	.	PUNCT
ejpam-3634	291	1	,	,	PUNCT
ejpam-3634	291	2	tn	tn	PROPN
ejpam-3634	291	3	(	(	PUNCT
ejpam-3634	291	4	xn	xn	PROPN
ejpam-3634	291	5	)	)	PUNCT
ejpam-3634	291	6	,	,	PUNCT
ejpam-3634	291	7	εt	εt	PROPN
ejpam-3634	291	8	}	}	PUNCT
ejpam-3634	291	9	,	,	PUNCT
ejpam-3634	291	10	in	in	ADP
ejpam-3634	291	11	(	(	PUNCT
ejpam-3634	291	12	f(xn1	f(xn1	PROPN
ejpam-3634	291	13	)	)	PUNCT
ejpam-3634	291	14	)	)	PUNCT
ejpam-3634	291	15	≥	≥	X
ejpam-3634	292	1	∧	∧	NOUN
ejpam-3634	292	2	{	{	PUNCT
ejpam-3634	292	3	in	in	ADP
ejpam-3634	292	4	(	(	PUNCT
ejpam-3634	292	5	x1	x1	PROPN
ejpam-3634	292	6	)	)	PUNCT
ejpam-3634	292	7	,	,	PUNCT
ejpam-3634	292	8	.	.	PUNCT
ejpam-3634	292	9	.	.	PUNCT
ejpam-3634	292	10	.	.	PUNCT
ejpam-3634	293	1	,	,	PUNCT
ejpam-3634	293	2	in	in	ADP
ejpam-3634	293	3	(	(	PUNCT
ejpam-3634	293	4	xn	xn	PROPN
ejpam-3634	293	5	)	)	PUNCT
ejpam-3634	293	6	,	,	PUNCT
ejpam-3634	293	7	εi	εi	VERB
ejpam-3634	293	8	}	}	PUNCT
ejpam-3634	293	9	,	,	PUNCT
ejpam-3634	293	10	fn	fn	INTJ
ejpam-3634	293	11	(	(	PUNCT
ejpam-3634	293	12	f(xn1	f(xn1	PROPN
ejpam-3634	293	13	)	)	PUNCT
ejpam-3634	293	14	)	)	PUNCT
ejpam-3634	293	15	≤	≤	NUM
ejpam-3634	293	16	∨	∨	NUM
ejpam-3634	293	17	{	{	PUNCT
ejpam-3634	293	18	fn	fn	PROPN
ejpam-3634	293	19	(	(	PUNCT
ejpam-3634	293	20	x1	x1	PROPN
ejpam-3634	293	21	)	)	PUNCT
ejpam-3634	293	22	,	,	PUNCT
ejpam-3634	293	23	.	.	PUNCT
ejpam-3634	293	24	.	.	PUNCT
ejpam-3634	294	1	.	.	PUNCT
ejpam-3634	295	1	,	,	PUNCT
ejpam-3634	295	2	fn	fn	INTJ
ejpam-3634	295	3	(	(	PUNCT
ejpam-3634	295	4	xn	xn	PROPN
ejpam-3634	295	5	)	)	PUNCT
ejpam-3634	295	6	,	,	PUNCT
ejpam-3634	295	7	εf	εf	X
ejpam-3634	295	8	}	}	PUNCT
ejpam-3634	295	9	,	,	PUNCT
ejpam-3634	295	10	hold	hold	VERB
ejpam-3634	295	11	for	for	ADP
ejpam-3634	295	12	all	all	DET
ejpam-3634	295	13	x1	x1	PROPN
ejpam-3634	295	14	,	,	PUNCT
ejpam-3634	295	15	.	.	PUNCT
ejpam-3634	295	16	.	.	PUNCT
ejpam-3634	296	1	.	.	PUNCT
ejpam-3634	297	1	,	,	PUNCT
ejpam-3634	297	2	xn	xn	PUNCT
ejpam-3634	297	3	∈	∈	PROPN
ejpam-3634	297	4	x	x	PUNCT
ejpam-3634	297	5	where	where	SCONJ
ejpam-3634	297	6	εt	εt	PROPN
ejpam-3634	297	7	,	,	PUNCT
ejpam-3634	297	8	εi	εi	INTJ
ejpam-3634	297	9	,	,	PUNCT
ejpam-3634	297	10	εf	εf	X
ejpam-3634	297	11	∈	∈	PROPN
ejpam-3634	298	1	[	[	X
ejpam-3634	298	2	−1	−1	NOUN
ejpam-3634	298	3	,	,	PUNCT
ejpam-3634	298	4	0	0	NUM
ejpam-3634	298	5	]	]	PUNCT
ejpam-3634	298	6	.	.	PUNCT
ejpam-3634	299	1	proposition	proposition	NOUN
ejpam-3634	299	2	1	1	NUM
ejpam-3634	299	3	.	.	PUNCT
ejpam-3634	300	1	let	let	VERB
ejpam-3634	300	2	xn	xn	PUNCT
ejpam-3634	300	3	be	be	AUX
ejpam-3634	300	4	an	an	DET
ejpam-3634	300	5	ε	ε	PROPN
ejpam-3634	300	6	-	-	PUNCT
ejpam-3634	300	7	neutrosophic	neutrosophic	ADJ
ejpam-3634	300	8	n	n	CCONJ
ejpam-3634	300	9	-	-	PUNCT
ejpam-3634	300	10	ary	ary	PROPN
ejpam-3634	300	11	n	n	NUM
ejpam-3634	300	12	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	300	13	of	of	ADP
ejpam-3634	300	14	x.	x.	NOUN
ejpam-3634	300	15	if	if	SCONJ
ejpam-3634	300	16	xn	xn	PROPN
ejpam-3634	300	17	(	(	PUNCT
ejpam-3634	300	18	x	x	NOUN
ejpam-3634	300	19	)	)	PUNCT
ejpam-3634	300	20	≤	≤	NOUN
ejpam-3634	300	21	(	(	PUNCT
ejpam-3634	300	22	εt	εt	INTJ
ejpam-3634	300	23	,	,	PUNCT
ejpam-3634	300	24	εi	εi	INTJ
ejpam-3634	300	25	,	,	PUNCT
ejpam-3634	300	26	εf	εf	PROPN
ejpam-3634	300	27	)	)	PUNCT
ejpam-3634	300	28	,	,	PUNCT
ejpam-3634	300	29	that	that	ADV
ejpam-3634	300	30	is	is	ADV
ejpam-3634	300	31	,	,	PUNCT
ejpam-3634	300	32	tn	tn	PROPN
ejpam-3634	300	33	(	(	PUNCT
ejpam-3634	300	34	x	x	NOUN
ejpam-3634	300	35	)	)	PUNCT
ejpam-3634	300	36	≥	≥	NOUN
ejpam-3634	300	37	εt	εt	INTJ
ejpam-3634	300	38	,	,	PUNCT
ejpam-3634	300	39	in	in	ADP
ejpam-3634	300	40	(	(	PUNCT
ejpam-3634	300	41	x	x	NOUN
ejpam-3634	300	42	)	)	PUNCT
ejpam-3634	300	43	≤	≤	NOUN
ejpam-3634	300	44	εi	εi	VERB
ejpam-3634	300	45	,	,	PUNCT
ejpam-3634	300	46	fn	fn	INTJ
ejpam-3634	300	47	(	(	PUNCT
ejpam-3634	300	48	x	x	NOUN
ejpam-3634	300	49	)	)	PUNCT
ejpam-3634	300	50	≥	≥	NOUN
ejpam-3634	300	51	εf	εf	VERB
ejpam-3634	300	52	for	for	ADP
ejpam-3634	300	53	all	all	DET
ejpam-3634	300	54	x	x	SYM
ejpam-3634	300	55	∈	∈	PROPN
ejpam-3634	300	56	x	x	NOUN
ejpam-3634	300	57	,	,	PUNCT
ejpam-3634	300	58	then	then	ADV
ejpam-3634	300	59	xn	xn	PROPN
ejpam-3634	300	60	is	be	AUX
ejpam-3634	300	61	a	a	DET
ejpam-3634	300	62	neutrosophic	neutrosophic	ADJ
ejpam-3634	300	63	n	n	CCONJ
ejpam-3634	300	64	-	-	PUNCT
ejpam-3634	300	65	ary	ary	PROPN
ejpam-3634	300	66	n	n	NUM
ejpam-3634	300	67	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	300	68	of	of	ADP
ejpam-3634	300	69	x.	x.	PROPN
ejpam-3634	300	70	theorem	theorem	VERB
ejpam-3634	300	71	6	6	NUM
ejpam-3634	300	72	.	.	PUNCT
ejpam-3634	301	1	let	let	VERB
ejpam-3634	301	2	xn	xn	PUNCT
ejpam-3634	301	3	be	be	AUX
ejpam-3634	301	4	a	a	DET
ejpam-3634	301	5	neutrosophic	neutrosophic	ADJ
ejpam-3634	301	6	n	n	CCONJ
ejpam-3634	301	7	-structure	-structure	NOUN
ejpam-3634	301	8	over	over	ADP
ejpam-3634	301	9	x	x	PUNCT
ejpam-3634	301	10	and	and	CCONJ
ejpam-3634	301	11	let	let	VERB
ejpam-3634	301	12	α	α	PRON
ejpam-3634	301	13	,	,	PUNCT
ejpam-3634	301	14	β	β	X
ejpam-3634	301	15	,	,	PUNCT
ejpam-3634	301	16	γ	γ	X
ejpam-3634	301	17	be	be	VERB
ejpam-3634	301	18	real	real	ADJ
ejpam-3634	301	19	numbers	number	NOUN
ejpam-3634	301	20	on	on	ADP
ejpam-3634	301	21	the	the	DET
ejpam-3634	301	22	interval	interval	NOUN
ejpam-3634	301	23	[	[	X
ejpam-3634	301	24	−1	−1	NOUN
ejpam-3634	301	25	,	,	PUNCT
ejpam-3634	301	26	0	0	NUM
ejpam-3634	301	27	]	]	PUNCT
ejpam-3634	301	28	.	.	PUNCT
ejpam-3634	302	1	if	if	SCONJ
ejpam-3634	302	2	xn	xn	PROPN
ejpam-3634	302	3	is	be	AUX
ejpam-3634	302	4	an	an	DET
ejpam-3634	302	5	ε	ε	PROPN
ejpam-3634	302	6	-	-	PUNCT
ejpam-3634	302	7	neutrosophic	neutrosophic	ADJ
ejpam-3634	302	8	n	n	CCONJ
ejpam-3634	302	9	-	-	PUNCT
ejpam-3634	302	10	ary	ary	PROPN
ejpam-3634	302	11	n	n	NUM
ejpam-3634	302	12	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	302	13	of	of	ADP
ejpam-3634	302	14	x	x	NOUN
ejpam-3634	302	15	,	,	PUNCT
ejpam-3634	302	16	then	then	ADV
ejpam-3634	302	17	the	the	DET
ejpam-3634	302	18	(	(	PUNCT
ejpam-3634	302	19	α	α	NOUN
ejpam-3634	302	20	,	,	PUNCT
ejpam-3634	302	21	β	β	X
ejpam-3634	302	22	,	,	PUNCT
ejpam-3634	302	23	γ)-level	γ)-level	VERB
ejpam-3634	302	24	set	set	VERB
ejpam-3634	302	25	of	of	ADP
ejpam-3634	302	26	xn	xn	PROPN
ejpam-3634	302	27	is	be	AUX
ejpam-3634	302	28	an	an	DET
ejpam-3634	302	29	n	n	CCONJ
ejpam-3634	302	30	-	-	PUNCT
ejpam-3634	302	31	ary	ary	NOUN
ejpam-3634	302	32	subgroupoid	subgroupoid	NOUN
ejpam-3634	302	33	of	of	ADP
ejpam-3634	302	34	x	x	SYM
ejpam-3634	302	35	whenever	whenever	SCONJ
ejpam-3634	302	36	(	(	PUNCT
ejpam-3634	302	37	α	α	NOUN
ejpam-3634	302	38	,	,	PUNCT
ejpam-3634	302	39	β	β	X
ejpam-3634	302	40	,	,	PUNCT
ejpam-3634	302	41	γ	γ	NOUN
ejpam-3634	302	42	)	)	PUNCT
ejpam-3634	302	43	≤	≤	NOUN
ejpam-3634	302	44	(	(	PUNCT
ejpam-3634	302	45	εt	εt	INTJ
ejpam-3634	302	46	,	,	PUNCT
ejpam-3634	302	47	εi	εi	INTJ
ejpam-3634	302	48	,	,	PUNCT
ejpam-3634	302	49	εf	εf	PROPN
ejpam-3634	302	50	)	)	PUNCT
ejpam-3634	302	51	,	,	PUNCT
ejpam-3634	302	52	that	that	PRON
ejpam-3634	302	53	is	be	AUX
ejpam-3634	302	54	α	α	DET
ejpam-3634	302	55	≥	≥	NOUN
ejpam-3634	302	56	εt	εt	INTJ
ejpam-3634	302	57	,	,	PUNCT
ejpam-3634	302	58	β	β	X
ejpam-3634	302	59	≤	≤	ADV
ejpam-3634	302	60	εi	εi	VERB
ejpam-3634	302	61	,	,	PUNCT
ejpam-3634	302	62	and	and	CCONJ
ejpam-3634	302	63	γ	γ	X
ejpam-3634	302	64	≥	≥	PROPN
ejpam-3634	302	65	εf	εf	PROPN
ejpam-3634	302	66	.	.	PUNCT
ejpam-3634	303	1	a.	a.	PROPN
ejpam-3634	303	2	rattana	rattana	PROPN
ejpam-3634	303	3	,	,	PUNCT
ejpam-3634	303	4	r.	r.	PROPN
ejpam-3634	303	5	chinram	chinram	PROPN
ejpam-3634	303	6	/	/	SYM
ejpam-3634	303	7	eur	eur	PROPN
ejpam-3634	303	8	.	.	PUNCT
ejpam-3634	304	1	j.	j.	PROPN
ejpam-3634	304	2	pure	pure	PROPN
ejpam-3634	304	3	appl	appl	PROPN
ejpam-3634	304	4	.	.	PROPN
ejpam-3634	304	5	math	math	PROPN
ejpam-3634	304	6	,	,	PUNCT
ejpam-3634	304	7	13	13	NUM
ejpam-3634	304	8	(	(	PUNCT
ejpam-3634	304	9	2	2	NUM
ejpam-3634	304	10	)	)	PUNCT
ejpam-3634	304	11	(	(	PUNCT
ejpam-3634	304	12	2020	2020	NUM
ejpam-3634	304	13	)	)	PUNCT
ejpam-3634	304	14	,	,	PUNCT
ejpam-3634	304	15	200	200	NUM
ejpam-3634	304	16	-	-	SYM
ejpam-3634	304	17	215	215	NUM
ejpam-3634	304	18	208	208	NUM
ejpam-3634	304	19	proof	proof	NOUN
ejpam-3634	304	20	.	.	PUNCT
ejpam-3634	305	1	assume	assume	VERB
ejpam-3634	305	2	that	that	SCONJ
ejpam-3634	305	3	xn	xn	PROPN
ejpam-3634	305	4	(	(	PUNCT
ejpam-3634	305	5	α	α	X
ejpam-3634	305	6	,	,	PUNCT
ejpam-3634	305	7	β	β	X
ejpam-3634	305	8	,	,	PUNCT
ejpam-3634	305	9	γ	γ	NOUN
ejpam-3634	305	10	)	)	PUNCT
ejpam-3634	305	11	6=	6=	NOUN
ejpam-3634	305	12	∅	∅	NOUN
ejpam-3634	305	13	for	for	ADP
ejpam-3634	305	14	α	α	PROPN
ejpam-3634	305	15	,	,	PUNCT
ejpam-3634	305	16	β	β	X
ejpam-3634	305	17	,	,	PUNCT
ejpam-3634	305	18	γ	γ	PROPN
ejpam-3634	305	19	∈	∈	PROPN
ejpam-3634	306	1	[	[	X
ejpam-3634	306	2	−1	−1	NOUN
ejpam-3634	306	3	,	,	PUNCT
ejpam-3634	306	4	0	0	NUM
ejpam-3634	306	5	]	]	PUNCT
ejpam-3634	306	6	.	.	PUNCT
ejpam-3634	307	1	let	let	VERB
ejpam-3634	307	2	x1	x1	NUM
ejpam-3634	307	3	,	,	PUNCT
ejpam-3634	307	4	.	.	PUNCT
ejpam-3634	307	5	.	.	PUNCT
ejpam-3634	308	1	.	.	PUNCT
ejpam-3634	309	1	,	,	PUNCT
ejpam-3634	309	2	xn	xn	PROPN
ejpam-3634	309	3	∈	∈	PROPN
ejpam-3634	309	4	xn	xn	PROPN
ejpam-3634	310	1	(	(	PUNCT
ejpam-3634	310	2	α	α	X
ejpam-3634	310	3	,	,	PUNCT
ejpam-3634	310	4	β	β	X
ejpam-3634	310	5	,	,	PUNCT
ejpam-3634	310	6	γ	γ	NOUN
ejpam-3634	310	7	)	)	PUNCT
ejpam-3634	310	8	.	.	PUNCT
ejpam-3634	311	1	then	then	ADV
ejpam-3634	311	2	tn	tn	PROPN
ejpam-3634	311	3	(	(	PUNCT
ejpam-3634	311	4	x1	x1	PROPN
ejpam-3634	311	5	)	)	PUNCT
ejpam-3634	311	6	≤	≤	NOUN
ejpam-3634	311	7	α	α	X
ejpam-3634	311	8	,	,	PUNCT
ejpam-3634	311	9	in	in	ADP
ejpam-3634	311	10	(	(	PUNCT
ejpam-3634	311	11	x1	x1	PROPN
ejpam-3634	311	12	)	)	PUNCT
ejpam-3634	311	13	≥	≥	PROPN
ejpam-3634	311	14	β	β	X
ejpam-3634	311	15	,	,	PUNCT
ejpam-3634	311	16	fn	fn	PROPN
ejpam-3634	311	17	(	(	PUNCT
ejpam-3634	311	18	x1	x1	PROPN
ejpam-3634	311	19	)	)	PUNCT
ejpam-3634	311	20	≤	≤	NUM
ejpam-3634	311	21	γ	γ	PROPN
ejpam-3634	311	22	,	,	PUNCT
ejpam-3634	311	23	.	.	PUNCT
ejpam-3634	311	24	.	.	PUNCT
ejpam-3634	311	25	.	.	PUNCT
ejpam-3634	312	1	,	,	PUNCT
ejpam-3634	312	2	tn	tn	PROPN
ejpam-3634	312	3	(	(	PUNCT
ejpam-3634	312	4	xn	xn	PROPN
ejpam-3634	312	5	)	)	PUNCT
ejpam-3634	312	6	≤	≤	NOUN
ejpam-3634	313	1	α	α	X
ejpam-3634	313	2	,	,	PUNCT
ejpam-3634	313	3	in	in	ADP
ejpam-3634	313	4	(	(	PUNCT
ejpam-3634	313	5	xn	xn	PROPN
ejpam-3634	313	6	)	)	PUNCT
ejpam-3634	313	7	≥	≥	NOUN
ejpam-3634	313	8	β	β	X
ejpam-3634	313	9	,	,	PUNCT
ejpam-3634	313	10	fn	fn	PROPN
ejpam-3634	313	11	(	(	PUNCT
ejpam-3634	313	12	xn	xn	PROPN
ejpam-3634	313	13	)	)	PUNCT
ejpam-3634	313	14	≤	≤	NUM
ejpam-3634	313	15	γ	γ	X
ejpam-3634	313	16	.	.	PUNCT
ejpam-3634	314	1	it	it	PRON
ejpam-3634	314	2	follows	follow	VERB
ejpam-3634	314	3	that	that	SCONJ
ejpam-3634	314	4	tn	tn	PROPN
ejpam-3634	314	5	(	(	PUNCT
ejpam-3634	314	6	f(xn1	f(xn1	PROPN
ejpam-3634	314	7	)	)	PUNCT
ejpam-3634	314	8	)	)	PUNCT
ejpam-3634	314	9	≤	≤	NUM
ejpam-3634	314	10	∨	∨	NUM
ejpam-3634	314	11	{	{	PUNCT
ejpam-3634	314	12	tn	tn	PROPN
ejpam-3634	314	13	(	(	PUNCT
ejpam-3634	314	14	x1	x1	PROPN
ejpam-3634	314	15	)	)	PUNCT
ejpam-3634	314	16	,	,	PUNCT
ejpam-3634	314	17	.	.	PUNCT
ejpam-3634	314	18	.	.	PUNCT
ejpam-3634	314	19	.	.	PUNCT
ejpam-3634	315	1	,	,	PUNCT
ejpam-3634	315	2	tn	tn	PROPN
ejpam-3634	315	3	(	(	PUNCT
ejpam-3634	315	4	xn	xn	PROPN
ejpam-3634	315	5	)	)	PUNCT
ejpam-3634	315	6	,	,	PUNCT
ejpam-3634	315	7	εt	εt	PROPN
ejpam-3634	315	8	}	}	PUNCT
ejpam-3634	315	9	≤	≤	ADV
ejpam-3634	315	10	∨	∨	NUM
ejpam-3634	315	11	{	{	PUNCT
ejpam-3634	315	12	α	α	NOUN
ejpam-3634	315	13	,	,	PUNCT
ejpam-3634	315	14	εt	εt	PROPN
ejpam-3634	315	15	}	}	PUNCT
ejpam-3634	315	16	=	=	SYM
ejpam-3634	315	17	α	α	X
ejpam-3634	315	18	,	,	PUNCT
ejpam-3634	315	19	in	in	ADP
ejpam-3634	315	20	(	(	PUNCT
ejpam-3634	315	21	f(xn1	f(xn1	PROPN
ejpam-3634	315	22	)	)	PUNCT
ejpam-3634	315	23	)	)	PUNCT
ejpam-3634	315	24	≥	≥	X
ejpam-3634	316	1	∧	∧	NOUN
ejpam-3634	316	2	{	{	PUNCT
ejpam-3634	316	3	in	in	ADP
ejpam-3634	316	4	(	(	PUNCT
ejpam-3634	316	5	x1	x1	PROPN
ejpam-3634	316	6	)	)	PUNCT
ejpam-3634	316	7	,	,	PUNCT
ejpam-3634	316	8	.	.	PUNCT
ejpam-3634	316	9	.	.	PUNCT
ejpam-3634	316	10	.	.	PUNCT
ejpam-3634	317	1	,	,	PUNCT
ejpam-3634	317	2	in	in	ADP
ejpam-3634	317	3	(	(	PUNCT
ejpam-3634	317	4	xn	xn	PROPN
ejpam-3634	317	5	)	)	PUNCT
ejpam-3634	317	6	,	,	PUNCT
ejpam-3634	317	7	εi	εi	VERB
ejpam-3634	317	8	}	}	PUNCT
ejpam-3634	317	9	≥	≥	NOUN
ejpam-3634	317	10	∧	∧	PROPN
ejpam-3634	317	11	{	{	PUNCT
ejpam-3634	317	12	β	β	X
ejpam-3634	317	13	,	,	PUNCT
ejpam-3634	317	14	εi	εi	VERB
ejpam-3634	317	15	}	}	PUNCT
ejpam-3634	317	16	=	=	SYM
ejpam-3634	317	17	β	β	NOUN
ejpam-3634	317	18	,	,	PUNCT
ejpam-3634	317	19	fn	fn	INTJ
ejpam-3634	317	20	(	(	PUNCT
ejpam-3634	317	21	f(xn1	f(xn1	PROPN
ejpam-3634	317	22	)	)	PUNCT
ejpam-3634	317	23	)	)	PUNCT
ejpam-3634	317	24	≤	≤	NUM
ejpam-3634	317	25	∨	∨	NUM
ejpam-3634	317	26	{	{	PUNCT
ejpam-3634	317	27	fn	fn	PROPN
ejpam-3634	317	28	(	(	PUNCT
ejpam-3634	317	29	x1	x1	PROPN
ejpam-3634	317	30	)	)	PUNCT
ejpam-3634	317	31	,	,	PUNCT
ejpam-3634	317	32	.	.	PUNCT
ejpam-3634	317	33	.	.	PUNCT
ejpam-3634	318	1	.	.	PUNCT
ejpam-3634	319	1	,	,	PUNCT
ejpam-3634	319	2	fn	fn	INTJ
ejpam-3634	319	3	(	(	PUNCT
ejpam-3634	319	4	xn	xn	PROPN
ejpam-3634	319	5	)	)	PUNCT
ejpam-3634	319	6	,	,	PUNCT
ejpam-3634	319	7	εf	εf	X
ejpam-3634	319	8	}	}	PUNCT
ejpam-3634	319	9	≤	≤	PROPN
ejpam-3634	319	10	∨	∨	NUM
ejpam-3634	319	11	{	{	PUNCT
ejpam-3634	319	12	γ	γ	PROPN
ejpam-3634	319	13	,	,	PUNCT
ejpam-3634	319	14	εf	εf	NOUN
ejpam-3634	320	1	}	}	PUNCT
ejpam-3634	320	2	=	=	SYM
ejpam-3634	320	3	γ	γ	X
ejpam-3634	320	4	.	.	NOUN
ejpam-3634	320	5	hence	hence	ADV
ejpam-3634	320	6	f(xn1	f(xn1	PROPN
ejpam-3634	320	7	)	)	PUNCT
ejpam-3634	320	8	∈	∈	PROPN
ejpam-3634	320	9	xn	xn	PROPN
ejpam-3634	321	1	(	(	PUNCT
ejpam-3634	321	2	α	α	X
ejpam-3634	321	3	,	,	PUNCT
ejpam-3634	321	4	β	β	X
ejpam-3634	321	5	,	,	PUNCT
ejpam-3634	321	6	γ	γ	NOUN
ejpam-3634	321	7	)	)	PUNCT
ejpam-3634	321	8	.	.	PUNCT
ejpam-3634	322	1	it	it	PRON
ejpam-3634	322	2	follows	follow	VERB
ejpam-3634	322	3	that	that	SCONJ
ejpam-3634	322	4	xn	xn	PROPN
ejpam-3634	322	5	(	(	PUNCT
ejpam-3634	322	6	α	α	X
ejpam-3634	322	7	,	,	PUNCT
ejpam-3634	322	8	β	β	X
ejpam-3634	322	9	,	,	PUNCT
ejpam-3634	322	10	γ	γ	X
ejpam-3634	322	11	)	)	PUNCT
ejpam-3634	322	12	is	be	AUX
ejpam-3634	322	13	an	an	DET
ejpam-3634	322	14	n	n	CCONJ
ejpam-3634	322	15	-	-	PUNCT
ejpam-3634	322	16	ary	ary	NOUN
ejpam-3634	322	17	subgroupoid	subgroupoid	NOUN
ejpam-3634	322	18	of	of	ADP
ejpam-3634	322	19	x.	x.	PROPN
ejpam-3634	322	20	theorem	theorem	VERB
ejpam-3634	322	21	7	7	NUM
ejpam-3634	322	22	.	.	PUNCT
ejpam-3634	323	1	let	let	VERB
ejpam-3634	323	2	xn	xn	PUNCT
ejpam-3634	323	3	be	be	AUX
ejpam-3634	323	4	a	a	DET
ejpam-3634	323	5	neutrosophic	neutrosophic	ADJ
ejpam-3634	323	6	n	n	CCONJ
ejpam-3634	323	7	-structure	-structure	NOUN
ejpam-3634	323	8	over	over	ADP
ejpam-3634	323	9	x	x	PUNCT
ejpam-3634	323	10	and	and	CCONJ
ejpam-3634	323	11	let	let	VERB
ejpam-3634	323	12	α	α	PRON
ejpam-3634	323	13	,	,	PUNCT
ejpam-3634	323	14	β	β	X
ejpam-3634	323	15	,	,	PUNCT
ejpam-3634	323	16	γ	γ	X
ejpam-3634	323	17	be	be	VERB
ejpam-3634	323	18	real	real	ADJ
ejpam-3634	323	19	numbers	number	NOUN
ejpam-3634	323	20	on	on	ADP
ejpam-3634	323	21	the	the	DET
ejpam-3634	323	22	interval	interval	NOUN
ejpam-3634	323	23	[	[	X
ejpam-3634	323	24	−1	−1	NOUN
ejpam-3634	323	25	,	,	PUNCT
ejpam-3634	323	26	0	0	NUM
ejpam-3634	323	27	]	]	PUNCT
ejpam-3634	323	28	.	.	PUNCT
ejpam-3634	324	1	if	if	SCONJ
ejpam-3634	324	2	tαn	tαn	NOUN
ejpam-3634	324	3	,	,	PUNCT
ejpam-3634	324	4	i	i	PRON
ejpam-3634	324	5	β	β	X
ejpam-3634	324	6	n	n	NOUN
ejpam-3634	324	7	and	and	CCONJ
ejpam-3634	324	8	f	f	PROPN
ejpam-3634	324	9	γn	γn	NOUN
ejpam-3634	324	10	are	be	AUX
ejpam-3634	324	11	n	n	PRON
ejpam-3634	324	12	-	-	PUNCT
ejpam-3634	324	13	ary	ary	PROPN
ejpam-3634	324	14	subgroupoids	subgroupoid	NOUN
ejpam-3634	324	15	of	of	ADP
ejpam-3634	324	16	x	x	PUNCT
ejpam-3634	324	17	for	for	ADP
ejpam-3634	324	18	all	all	PRON
ejpam-3634	324	19	εt	εt	PROPN
ejpam-3634	324	20	,	,	PUNCT
ejpam-3634	324	21	εi	εi	INTJ
ejpam-3634	324	22	,	,	PUNCT
ejpam-3634	324	23	εf	εf	X
ejpam-3634	324	24	∈	∈	PROPN
ejpam-3634	325	1	[	[	X
ejpam-3634	325	2	−1	−1	NOUN
ejpam-3634	325	3	,	,	PUNCT
ejpam-3634	325	4	0	0	NUM
ejpam-3634	325	5	]	]	PUNCT
ejpam-3634	325	6	and	and	CCONJ
ejpam-3634	325	7	(	(	PUNCT
ejpam-3634	325	8	α	α	NOUN
ejpam-3634	325	9	,	,	PUNCT
ejpam-3634	325	10	β	β	X
ejpam-3634	325	11	,	,	PUNCT
ejpam-3634	325	12	γ	γ	NOUN
ejpam-3634	325	13	)	)	PUNCT
ejpam-3634	325	14	≤	≤	NOUN
ejpam-3634	325	15	(	(	PUNCT
ejpam-3634	325	16	εt	εt	INTJ
ejpam-3634	325	17	,	,	PUNCT
ejpam-3634	325	18	εi	εi	INTJ
ejpam-3634	325	19	,	,	PUNCT
ejpam-3634	325	20	εf	εf	PROPN
ejpam-3634	325	21	)	)	PUNCT
ejpam-3634	325	22	,	,	PUNCT
ejpam-3634	325	23	then	then	ADV
ejpam-3634	325	24	xn	xn	PROPN
ejpam-3634	325	25	is	be	AUX
ejpam-3634	325	26	an	an	DET
ejpam-3634	325	27	ε	ε	PROPN
ejpam-3634	325	28	-	-	PUNCT
ejpam-3634	325	29	neutrosophic	neutrosophic	ADJ
ejpam-3634	325	30	n	n	CCONJ
ejpam-3634	325	31	-	-	PUNCT
ejpam-3634	325	32	ary	ary	PROPN
ejpam-3634	325	33	n	n	NUM
ejpam-3634	325	34	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	325	35	of	of	ADP
ejpam-3634	325	36	x.	x.	NOUN
ejpam-3634	325	37	proof	proof	NOUN
ejpam-3634	325	38	.	.	PUNCT
ejpam-3634	326	1	we	we	PRON
ejpam-3634	326	2	prove	prove	VERB
ejpam-3634	326	3	this	this	DET
ejpam-3634	326	4	theorem	theorem	NOUN
ejpam-3634	326	5	by	by	ADP
ejpam-3634	326	6	contradiction	contradiction	NOUN
ejpam-3634	326	7	.	.	PUNCT
ejpam-3634	327	1	we	we	PRON
ejpam-3634	327	2	begin	begin	VERB
ejpam-3634	327	3	the	the	DET
ejpam-3634	327	4	proof	proof	NOUN
ejpam-3634	327	5	by	by	ADP
ejpam-3634	327	6	assuming	assume	VERB
ejpam-3634	327	7	that	that	SCONJ
ejpam-3634	327	8	tn	tn	PROPN
ejpam-3634	327	9	(	(	PUNCT
ejpam-3634	327	10	f(xn1	f(xn1	PROPN
ejpam-3634	327	11	)	)	PUNCT
ejpam-3634	327	12	)	)	PUNCT
ejpam-3634	327	13	>	>	PUNCT
ejpam-3634	328	1	∨	∨	X
ejpam-3634	328	2	{	{	PUNCT
ejpam-3634	328	3	tn	tn	PROPN
ejpam-3634	328	4	(	(	PUNCT
ejpam-3634	328	5	x1	x1	PROPN
ejpam-3634	328	6	)	)	PUNCT
ejpam-3634	328	7	,	,	PUNCT
ejpam-3634	328	8	.	.	PUNCT
ejpam-3634	328	9	.	.	PUNCT
ejpam-3634	329	1	.	.	PUNCT
ejpam-3634	330	1	,	,	PUNCT
ejpam-3634	330	2	tn	tn	PROPN
ejpam-3634	330	3	(	(	PUNCT
ejpam-3634	330	4	xn	xn	PROPN
ejpam-3634	330	5	)	)	PUNCT
ejpam-3634	330	6	,	,	PUNCT
ejpam-3634	330	7	εt	εt	PROPN
ejpam-3634	330	8	}	}	PUNCT
ejpam-3634	330	9	.	.	PUNCT
ejpam-3634	331	1	for	for	ADP
ejpam-3634	331	2	some	some	DET
ejpam-3634	331	3	x1	x1	PROPN
ejpam-3634	331	4	,	,	PUNCT
ejpam-3634	331	5	.	.	PUNCT
ejpam-3634	331	6	.	.	PUNCT
ejpam-3634	331	7	.	.	PUNCT
ejpam-3634	332	1	,	,	PUNCT
ejpam-3634	332	2	xn	xn	PUNCT
ejpam-3634	332	3	∈	∈	PROPN
ejpam-3634	332	4	x.	x.	NOUN
ejpam-3634	332	5	then	then	ADV
ejpam-3634	332	6	tn	tn	PROPN
ejpam-3634	332	7	(	(	PUNCT
ejpam-3634	332	8	f(xn1	f(xn1	PROPN
ejpam-3634	332	9	)	)	PUNCT
ejpam-3634	332	10	)	)	PUNCT
ejpam-3634	333	1	>	>	PUNCT
ejpam-3634	333	2	tα	tα	PROPN
ejpam-3634	333	3	≥	≥	PROPN
ejpam-3634	333	4	∨	∨	NUM
ejpam-3634	333	5	{	{	PUNCT
ejpam-3634	333	6	tn	tn	PROPN
ejpam-3634	333	7	(	(	PUNCT
ejpam-3634	333	8	x1	x1	PROPN
ejpam-3634	333	9	)	)	PUNCT
ejpam-3634	333	10	,	,	PUNCT
ejpam-3634	333	11	.	.	PUNCT
ejpam-3634	333	12	.	.	PUNCT
ejpam-3634	333	13	.	.	PUNCT
ejpam-3634	334	1	,	,	PUNCT
ejpam-3634	334	2	tn	tn	PROPN
ejpam-3634	334	3	(	(	PUNCT
ejpam-3634	334	4	xn	xn	PROPN
ejpam-3634	334	5	)	)	PUNCT
ejpam-3634	334	6	,	,	PUNCT
ejpam-3634	334	7	εt	εt	INTJ
ejpam-3634	334	8	}	}	PUNCT
ejpam-3634	334	9	for	for	ADP
ejpam-3634	334	10	some	some	DET
ejpam-3634	334	11	tα	tα	PROPN
ejpam-3634	334	12	∈	∈	PROPN
ejpam-3634	335	1	[	[	X
ejpam-3634	335	2	−1	−1	NOUN
ejpam-3634	335	3	,	,	PUNCT
ejpam-3634	335	4	0	0	NUM
ejpam-3634	335	5	)	)	PUNCT
ejpam-3634	335	6	.	.	PUNCT
ejpam-3634	336	1	it	it	PRON
ejpam-3634	336	2	follows	follow	VERB
ejpam-3634	336	3	that	that	SCONJ
ejpam-3634	336	4	x1	x1	PROPN
ejpam-3634	336	5	,	,	PUNCT
ejpam-3634	336	6	.	.	PUNCT
ejpam-3634	336	7	.	.	PUNCT
ejpam-3634	337	1	.	.	PUNCT
ejpam-3634	338	1	,	,	PUNCT
ejpam-3634	338	2	xn	xn	PROPN
ejpam-3634	338	3	∈	∈	PROPN
ejpam-3634	338	4	t	t	PROPN
ejpam-3634	338	5	tαn	tαn	NOUN
ejpam-3634	338	6	,	,	PUNCT
ejpam-3634	338	7	f(xn1	f(xn1	PROPN
ejpam-3634	338	8	)	)	PUNCT
ejpam-3634	338	9	/∈	/∈	PUNCT
ejpam-3634	339	1	t	t	PROPN
ejpam-3634	339	2	tαn	tαn	NOUN
ejpam-3634	339	3	and	and	CCONJ
ejpam-3634	339	4	tα	tα	PRON
ejpam-3634	339	5	≥	≥	NUM
ejpam-3634	340	1	εt	εt	INTJ
ejpam-3634	340	2	.	.	PUNCT
ejpam-3634	341	1	this	this	PRON
ejpam-3634	341	2	is	be	AUX
ejpam-3634	341	3	a	a	DET
ejpam-3634	341	4	contradiction	contradiction	NOUN
ejpam-3634	341	5	since	since	SCONJ
ejpam-3634	341	6	t	t	PROPN
ejpam-3634	341	7	tαn	tαn	NOUN
ejpam-3634	341	8	is	be	AUX
ejpam-3634	341	9	an	an	DET
ejpam-3634	341	10	n	n	CCONJ
ejpam-3634	341	11	-	-	PUNCT
ejpam-3634	341	12	ary	ary	NOUN
ejpam-3634	341	13	subgroupoid	subgroupoid	NOUN
ejpam-3634	341	14	of	of	ADP
ejpam-3634	341	15	x	x	PUNCT
ejpam-3634	341	16	by	by	ADP
ejpam-3634	341	17	hypothesis	hypothesis	NOUN
ejpam-3634	341	18	.	.	PUNCT
ejpam-3634	342	1	thus	thus	ADV
ejpam-3634	342	2	tn	tn	PROPN
ejpam-3634	342	3	(	(	PUNCT
ejpam-3634	342	4	f(xn1	f(xn1	PROPN
ejpam-3634	342	5	)	)	PUNCT
ejpam-3634	342	6	)	)	PUNCT
ejpam-3634	342	7	≤	≤	NUM
ejpam-3634	342	8	∨	∨	NUM
ejpam-3634	342	9	{	{	PUNCT
ejpam-3634	342	10	tn	tn	PROPN
ejpam-3634	342	11	(	(	PUNCT
ejpam-3634	342	12	x1	x1	PROPN
ejpam-3634	342	13	)	)	PUNCT
ejpam-3634	342	14	,	,	PUNCT
ejpam-3634	342	15	.	.	PUNCT
ejpam-3634	342	16	.	.	PUNCT
ejpam-3634	342	17	.	.	PUNCT
ejpam-3634	343	1	,	,	PUNCT
ejpam-3634	343	2	tn	tn	PROPN
ejpam-3634	343	3	(	(	PUNCT
ejpam-3634	343	4	xn	xn	PROPN
ejpam-3634	343	5	)	)	PUNCT
ejpam-3634	343	6	,	,	PUNCT
ejpam-3634	343	7	εt	εt	INTJ
ejpam-3634	343	8	}	}	PUNCT
ejpam-3634	343	9	for	for	ADP
ejpam-3634	343	10	all	all	DET
ejpam-3634	343	11	x1	x1	PROPN
ejpam-3634	343	12	,	,	PUNCT
ejpam-3634	343	13	.	.	PUNCT
ejpam-3634	343	14	.	.	PUNCT
ejpam-3634	344	1	.	.	PUNCT
ejpam-3634	345	1	,	,	PUNCT
ejpam-3634	345	2	xn	xn	PUNCT
ejpam-3634	345	3	∈	∈	PROPN
ejpam-3634	345	4	x.	x.	NOUN
ejpam-3634	345	5	suppose	suppose	VERB
ejpam-3634	345	6	now	now	ADV
ejpam-3634	345	7	that	that	SCONJ
ejpam-3634	345	8	there	there	PRON
ejpam-3634	345	9	are	be	VERB
ejpam-3634	345	10	x1	x1	PROPN
ejpam-3634	345	11	,	,	PUNCT
ejpam-3634	345	12	.	.	PUNCT
ejpam-3634	345	13	.	.	PUNCT
ejpam-3634	346	1	.	.	PUNCT
ejpam-3634	347	1	,	,	PUNCT
ejpam-3634	347	2	xn	xn	PUNCT
ejpam-3634	347	3	∈	∈	PROPN
ejpam-3634	347	4	x	x	PUNCT
ejpam-3634	347	5	such	such	ADJ
ejpam-3634	347	6	that	that	SCONJ
ejpam-3634	347	7	in	in	ADP
ejpam-3634	347	8	(	(	PUNCT
ejpam-3634	347	9	f(xn1	f(xn1	PROPN
ejpam-3634	347	10	)	)	PUNCT
ejpam-3634	347	11	)	)	PUNCT
ejpam-3634	348	1	<	<	X
ejpam-3634	349	1	∧	∧	PROPN
ejpam-3634	349	2	{	{	PUNCT
ejpam-3634	349	3	in	in	ADP
ejpam-3634	349	4	(	(	PUNCT
ejpam-3634	349	5	x1	x1	PROPN
ejpam-3634	349	6	)	)	PUNCT
ejpam-3634	349	7	,	,	PUNCT
ejpam-3634	349	8	.	.	PUNCT
ejpam-3634	349	9	.	.	PUNCT
ejpam-3634	349	10	.	.	PUNCT
ejpam-3634	350	1	,	,	PUNCT
ejpam-3634	350	2	in	in	ADP
ejpam-3634	350	3	(	(	PUNCT
ejpam-3634	350	4	xn	xn	PROPN
ejpam-3634	350	5	)	)	PUNCT
ejpam-3634	350	6	,	,	PUNCT
ejpam-3634	350	7	εi	εi	VERB
ejpam-3634	350	8	}	}	PUNCT
ejpam-3634	350	9	.	.	PUNCT
ejpam-3634	351	1	then	then	ADV
ejpam-3634	351	2	in	in	ADP
ejpam-3634	351	3	(	(	PUNCT
ejpam-3634	351	4	f(xn1	f(xn1	PROPN
ejpam-3634	351	5	)	)	PUNCT
ejpam-3634	351	6	)	)	PUNCT
ejpam-3634	351	7	<	<	X
ejpam-3634	351	8	tβ	tβ	PROPN
ejpam-3634	351	9	≤	≤	ADJ
ejpam-3634	351	10	∧	∧	PROPN
ejpam-3634	351	11	{	{	PUNCT
ejpam-3634	351	12	in	in	ADP
ejpam-3634	351	13	(	(	PUNCT
ejpam-3634	351	14	x1	x1	PROPN
ejpam-3634	351	15	)	)	PUNCT
ejpam-3634	351	16	,	,	PUNCT
ejpam-3634	351	17	.	.	PUNCT
ejpam-3634	351	18	.	.	PUNCT
ejpam-3634	351	19	.	.	PUNCT
ejpam-3634	352	1	,	,	PUNCT
ejpam-3634	352	2	in	in	ADP
ejpam-3634	352	3	(	(	PUNCT
ejpam-3634	352	4	xn	xn	PROPN
ejpam-3634	352	5	)	)	PUNCT
ejpam-3634	352	6	,	,	PUNCT
ejpam-3634	352	7	εi	εi	VERB
ejpam-3634	352	8	}	}	PUNCT
ejpam-3634	352	9	for	for	ADP
ejpam-3634	352	10	some	some	DET
ejpam-3634	352	11	tβ	tβ	NOUN
ejpam-3634	352	12	∈	∈	PROPN
ejpam-3634	353	1	[	[	X
ejpam-3634	353	2	−1	−1	NOUN
ejpam-3634	353	3	,	,	PUNCT
ejpam-3634	353	4	0	0	NUM
ejpam-3634	353	5	)	)	PUNCT
ejpam-3634	353	6	.	.	PUNCT
ejpam-3634	354	1	it	it	PRON
ejpam-3634	354	2	follows	follow	VERB
ejpam-3634	354	3	that	that	SCONJ
ejpam-3634	354	4	x1	x1	PROPN
ejpam-3634	354	5	,	,	PUNCT
ejpam-3634	354	6	.	.	PUNCT
ejpam-3634	354	7	.	.	PUNCT
ejpam-3634	355	1	.	.	PUNCT
ejpam-3634	356	1	,	,	PUNCT
ejpam-3634	356	2	xn	xn	PUNCT
ejpam-3634	356	3	∈	∈	PROPN
ejpam-3634	357	1	i	i	PRON
ejpam-3634	357	2	tβ	tβ	VERB
ejpam-3634	357	3	n	n	PROPN
ejpam-3634	357	4	,	,	PUNCT
ejpam-3634	357	5	f(xn1	f(xn1	PROPN
ejpam-3634	357	6	)	)	PUNCT
ejpam-3634	357	7	/∈	/∈	PUNCT
ejpam-3634	358	1	i	i	PRON
ejpam-3634	358	2	tβ	tβ	VERB
ejpam-3634	358	3	n	n	ADJ
ejpam-3634	359	1	and	and	CCONJ
ejpam-3634	359	2	tβ	tβ	PROPN
ejpam-3634	359	3	≤	≤	NOUN
ejpam-3634	359	4	εi	εi	VERB
ejpam-3634	359	5	.	.	PUNCT
ejpam-3634	360	1	this	this	PRON
ejpam-3634	360	2	contradicts	contradict	VERB
ejpam-3634	360	3	to	to	ADP
ejpam-3634	360	4	the	the	DET
ejpam-3634	360	5	fact	fact	NOUN
ejpam-3634	360	6	that	that	SCONJ
ejpam-3634	360	7	i	i	PRON
ejpam-3634	360	8	tβ	tβ	VERB
ejpam-3634	360	9	n	n	VERB
ejpam-3634	360	10	is	be	AUX
ejpam-3634	360	11	an	an	DET
ejpam-3634	360	12	n	n	CCONJ
ejpam-3634	360	13	-	-	PUNCT
ejpam-3634	360	14	ary	ary	NOUN
ejpam-3634	360	15	subgroupoid	subgroupoid	NOUN
ejpam-3634	360	16	of	of	ADP
ejpam-3634	360	17	x.	x.	NOUN
ejpam-3634	360	18	thus	thus	ADV
ejpam-3634	360	19	in	in	ADP
ejpam-3634	360	20	(	(	PUNCT
ejpam-3634	360	21	f(xn1	f(xn1	PROPN
ejpam-3634	360	22	)	)	PUNCT
ejpam-3634	360	23	)	)	PUNCT
ejpam-3634	360	24	≥	≥	X
ejpam-3634	360	25	∧	∧	NOUN
ejpam-3634	360	26	{	{	PUNCT
ejpam-3634	360	27	in	in	ADP
ejpam-3634	360	28	(	(	PUNCT
ejpam-3634	360	29	x1	x1	PROPN
ejpam-3634	360	30	)	)	PUNCT
ejpam-3634	360	31	,	,	PUNCT
ejpam-3634	360	32	.	.	PUNCT
ejpam-3634	360	33	.	.	PUNCT
ejpam-3634	361	1	.	.	PUNCT
ejpam-3634	362	1	,	,	PUNCT
ejpam-3634	362	2	in	in	ADP
ejpam-3634	362	3	(	(	PUNCT
ejpam-3634	362	4	xn	xn	PROPN
ejpam-3634	362	5	)	)	PUNCT
ejpam-3634	362	6	,	,	PUNCT
ejpam-3634	362	7	εi	εi	VERB
ejpam-3634	362	8	}	}	PUNCT
ejpam-3634	362	9	for	for	ADP
ejpam-3634	362	10	all	all	DET
ejpam-3634	362	11	x1	x1	PROPN
ejpam-3634	362	12	,	,	PUNCT
ejpam-3634	362	13	.	.	PUNCT
ejpam-3634	362	14	.	.	PUNCT
ejpam-3634	363	1	.	.	PUNCT
ejpam-3634	364	1	,	,	PUNCT
ejpam-3634	364	2	xn	xn	PUNCT
ejpam-3634	364	3	∈	∈	PROPN
ejpam-3634	364	4	x.	x.	NOUN
ejpam-3634	364	5	similarly	similarly	ADV
ejpam-3634	364	6	,	,	PUNCT
ejpam-3634	364	7	assume	assume	VERB
ejpam-3634	364	8	that	that	SCONJ
ejpam-3634	364	9	fn	fn	INTJ
ejpam-3634	364	10	(	(	PUNCT
ejpam-3634	364	11	f(xn1	f(xn1	PROPN
ejpam-3634	364	12	)	)	PUNCT
ejpam-3634	364	13	)	)	PUNCT
ejpam-3634	364	14	>	>	PUNCT
ejpam-3634	365	1	∨	∨	X
ejpam-3634	365	2	{	{	PUNCT
ejpam-3634	365	3	fn	fn	PROPN
ejpam-3634	365	4	(	(	PUNCT
ejpam-3634	365	5	x1	x1	PROPN
ejpam-3634	365	6	)	)	PUNCT
ejpam-3634	365	7	,	,	PUNCT
ejpam-3634	365	8	.	.	PUNCT
ejpam-3634	365	9	.	.	PUNCT
ejpam-3634	365	10	.	.	PUNCT
ejpam-3634	366	1	,	,	PUNCT
ejpam-3634	366	2	fn	fn	INTJ
ejpam-3634	366	3	(	(	PUNCT
ejpam-3634	366	4	xn	xn	PROPN
ejpam-3634	366	5	)	)	PUNCT
ejpam-3634	366	6	,	,	PUNCT
ejpam-3634	366	7	εf	εf	X
ejpam-3634	366	8	}	}	PUNCT
ejpam-3634	366	9	a.	a.	NOUN
ejpam-3634	366	10	rattana	rattana	PROPN
ejpam-3634	366	11	,	,	PUNCT
ejpam-3634	366	12	r.	r.	PROPN
ejpam-3634	366	13	chinram	chinram	PROPN
ejpam-3634	366	14	/	/	SYM
ejpam-3634	366	15	eur	eur	PROPN
ejpam-3634	366	16	.	.	PUNCT
ejpam-3634	367	1	j.	j.	PROPN
ejpam-3634	367	2	pure	pure	PROPN
ejpam-3634	367	3	appl	appl	PROPN
ejpam-3634	367	4	.	.	PROPN
ejpam-3634	367	5	math	math	PROPN
ejpam-3634	367	6	,	,	PUNCT
ejpam-3634	367	7	13	13	NUM
ejpam-3634	367	8	(	(	PUNCT
ejpam-3634	367	9	2	2	NUM
ejpam-3634	367	10	)	)	PUNCT
ejpam-3634	367	11	(	(	PUNCT
ejpam-3634	367	12	2020	2020	NUM
ejpam-3634	367	13	)	)	PUNCT
ejpam-3634	367	14	,	,	PUNCT
ejpam-3634	367	15	200	200	NUM
ejpam-3634	367	16	-	-	SYM
ejpam-3634	367	17	215	215	NUM
ejpam-3634	367	18	209	209	NUM
ejpam-3634	367	19	for	for	ADP
ejpam-3634	367	20	some	some	DET
ejpam-3634	367	21	x1	x1	PROPN
ejpam-3634	367	22	,	,	PUNCT
ejpam-3634	367	23	.	.	PUNCT
ejpam-3634	367	24	.	.	PUNCT
ejpam-3634	368	1	.	.	PUNCT
ejpam-3634	369	1	,	,	PUNCT
ejpam-3634	369	2	xn	xn	PUNCT
ejpam-3634	369	3	∈	∈	PROPN
ejpam-3634	369	4	x.	x.	NOUN
ejpam-3634	370	1	then	then	ADV
ejpam-3634	370	2	fn	fn	INTJ
ejpam-3634	370	3	(	(	PUNCT
ejpam-3634	370	4	xn1	xn1	PROPN
ejpam-3634	370	5	)	)	PUNCT
ejpam-3634	370	6	>	>	X
ejpam-3634	371	1	tγ	tγ	PROPN
ejpam-3634	371	2	≥	≥	PROPN
ejpam-3634	371	3	∨	∨	PROPN
ejpam-3634	371	4	{	{	PUNCT
ejpam-3634	371	5	fn	fn	PROPN
ejpam-3634	371	6	(	(	PUNCT
ejpam-3634	371	7	x1	x1	PROPN
ejpam-3634	371	8	)	)	PUNCT
ejpam-3634	371	9	,	,	PUNCT
ejpam-3634	371	10	.	.	PUNCT
ejpam-3634	371	11	.	.	PUNCT
ejpam-3634	371	12	.	.	PUNCT
ejpam-3634	372	1	,	,	PUNCT
ejpam-3634	372	2	fn	fn	INTJ
ejpam-3634	372	3	(	(	PUNCT
ejpam-3634	372	4	xn	xn	PROPN
ejpam-3634	372	5	)	)	PUNCT
ejpam-3634	372	6	,	,	PUNCT
ejpam-3634	372	7	εf	εf	X
ejpam-3634	372	8	}	}	PUNCT
ejpam-3634	372	9	for	for	ADP
ejpam-3634	372	10	some	some	DET
ejpam-3634	372	11	tγ	tγ	PROPN
ejpam-3634	372	12	∈	∈	PROPN
ejpam-3634	373	1	[	[	X
ejpam-3634	373	2	−1	−1	NOUN
ejpam-3634	373	3	,	,	PUNCT
ejpam-3634	373	4	0	0	NUM
ejpam-3634	373	5	)	)	PUNCT
ejpam-3634	373	6	.	.	PUNCT
ejpam-3634	374	1	it	it	PRON
ejpam-3634	374	2	implies	imply	VERB
ejpam-3634	374	3	that	that	SCONJ
ejpam-3634	374	4	x1	x1	PROPN
ejpam-3634	374	5	,	,	PUNCT
ejpam-3634	374	6	.	.	PUNCT
ejpam-3634	374	7	.	.	PUNCT
ejpam-3634	374	8	.	.	PUNCT
ejpam-3634	375	1	,	,	PUNCT
ejpam-3634	375	2	xn	xn	PUNCT
ejpam-3634	376	1	∈	∈	PROPN
ejpam-3634	376	2	f	f	X
ejpam-3634	376	3	tγ	tγ	NOUN
ejpam-3634	376	4	n	n	PROPN
ejpam-3634	376	5	,	,	PUNCT
ejpam-3634	376	6	f(xn1	f(xn1	PROPN
ejpam-3634	376	7	)	)	PUNCT
ejpam-3634	376	8	/∈	/∈	PUNCT
ejpam-3634	377	1	f	f	PROPN
ejpam-3634	377	2	tγn	tγn	NOUN
ejpam-3634	378	1	and	and	CCONJ
ejpam-3634	378	2	tγ	tγ	PROPN
ejpam-3634	378	3	≥	≥	NOUN
ejpam-3634	378	4	εf	εf	PROPN
ejpam-3634	378	5	.	.	PUNCT
ejpam-3634	379	1	this	this	PRON
ejpam-3634	379	2	is	be	AUX
ejpam-3634	379	3	a	a	DET
ejpam-3634	379	4	contradiction	contradiction	NOUN
ejpam-3634	379	5	since	since	SCONJ
ejpam-3634	379	6	f	f	PROPN
ejpam-3634	379	7	tγ	tγ	PROPN
ejpam-3634	379	8	n	n	PROPN
ejpam-3634	379	9	is	be	AUX
ejpam-3634	379	10	an	an	DET
ejpam-3634	379	11	n	n	CCONJ
ejpam-3634	379	12	-	-	PUNCT
ejpam-3634	379	13	ary	ary	NOUN
ejpam-3634	379	14	subgroupoid	subgroupoid	NOUN
ejpam-3634	379	15	of	of	ADP
ejpam-3634	379	16	x.	x.	NOUN
ejpam-3634	379	17	thus	thus	ADV
ejpam-3634	379	18	fn	fn	PROPN
ejpam-3634	379	19	(	(	PUNCT
ejpam-3634	379	20	f(xn1	f(xn1	PROPN
ejpam-3634	379	21	)	)	PUNCT
ejpam-3634	379	22	)	)	PUNCT
ejpam-3634	379	23	≤	≤	NUM
ejpam-3634	379	24	∨	∨	NUM
ejpam-3634	379	25	{	{	PUNCT
ejpam-3634	379	26	fn	fn	PROPN
ejpam-3634	379	27	(	(	PUNCT
ejpam-3634	379	28	x1	x1	PROPN
ejpam-3634	379	29	)	)	PUNCT
ejpam-3634	379	30	,	,	PUNCT
ejpam-3634	379	31	.	.	PUNCT
ejpam-3634	379	32	.	.	PUNCT
ejpam-3634	379	33	.	.	PUNCT
ejpam-3634	380	1	,	,	PUNCT
ejpam-3634	380	2	fn	fn	INTJ
ejpam-3634	380	3	(	(	PUNCT
ejpam-3634	380	4	xn	xn	PROPN
ejpam-3634	380	5	)	)	PUNCT
ejpam-3634	380	6	,	,	PUNCT
ejpam-3634	380	7	εf	εf	X
ejpam-3634	380	8	}	}	PUNCT
ejpam-3634	380	9	for	for	ADP
ejpam-3634	380	10	all	all	DET
ejpam-3634	380	11	x1	x1	PROPN
ejpam-3634	380	12	,	,	PUNCT
ejpam-3634	380	13	.	.	PUNCT
ejpam-3634	380	14	.	.	PUNCT
ejpam-3634	381	1	.	.	PUNCT
ejpam-3634	382	1	,	,	PUNCT
ejpam-3634	382	2	xn	xn	PUNCT
ejpam-3634	382	3	∈	∈	PROPN
ejpam-3634	382	4	x.	x.	NOUN
ejpam-3634	383	1	therefore	therefore	ADV
ejpam-3634	383	2	xn	xn	PROPN
ejpam-3634	383	3	is	be	AUX
ejpam-3634	383	4	an	an	DET
ejpam-3634	383	5	ε	ε	PROPN
ejpam-3634	383	6	-	-	PUNCT
ejpam-3634	383	7	neutrosophic	neutrosophic	ADJ
ejpam-3634	383	8	n	n	CCONJ
ejpam-3634	383	9	-	-	PUNCT
ejpam-3634	383	10	ary	ary	PROPN
ejpam-3634	383	11	n	n	NUM
ejpam-3634	383	12	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	383	13	of	of	ADP
ejpam-3634	383	14	x.	x.	PROPN
ejpam-3634	383	15	theorem	theorem	VERB
ejpam-3634	383	16	8	8	NUM
ejpam-3634	383	17	.	.	PUNCT
ejpam-3634	384	1	let	let	VERB
ejpam-3634	384	2	εt	εt	PROPN
ejpam-3634	384	3	,	,	PUNCT
ejpam-3634	384	4	εi	εi	INTJ
ejpam-3634	384	5	,	,	PUNCT
ejpam-3634	384	6	εf	εf	PROPN
ejpam-3634	384	7	,	,	PUNCT
ejpam-3634	384	8	δt	δt	X
ejpam-3634	384	9	,	,	PUNCT
ejpam-3634	384	10	δi	δi	INTJ
ejpam-3634	384	11	,	,	PUNCT
ejpam-3634	384	12	δf	δf	ADP
ejpam-3634	384	13	∈	∈	PROPN
ejpam-3634	385	1	[	[	X
ejpam-3634	385	2	−1	−1	NOUN
ejpam-3634	385	3	,	,	PUNCT
ejpam-3634	385	4	0	0	NUM
ejpam-3634	385	5	]	]	PUNCT
ejpam-3634	385	6	.	.	PUNCT
ejpam-3634	386	1	let	let	VERB
ejpam-3634	386	2	xn	xn	PROPN
ejpam-3634	387	1	and	and	CCONJ
ejpam-3634	387	2	xm	xm	PROPN
ejpam-3634	387	3	be	be	AUX
ejpam-3634	387	4	an	an	DET
ejpam-3634	387	5	ε	ε	PROPN
ejpam-3634	387	6	-	-	PUNCT
ejpam-3634	387	7	neutrosophic	neutrosophic	ADJ
ejpam-3634	387	8	n	n	CCONJ
ejpam-3634	387	9	-	-	PUNCT
ejpam-3634	387	10	ary	ary	PROPN
ejpam-3634	387	11	n	n	CCONJ
ejpam-3634	387	12	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	387	13	and	and	CCONJ
ejpam-3634	387	14	a	a	DET
ejpam-3634	387	15	δ	δ	PROPN
ejpam-3634	387	16	-	-	PUNCT
ejpam-3634	387	17	neutrosophic	neutrosophic	ADJ
ejpam-3634	387	18	n	n	CCONJ
ejpam-3634	387	19	-	-	PUNCT
ejpam-3634	387	20	ary	ary	PROPN
ejpam-3634	387	21	n	n	NUM
ejpam-3634	387	22	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	387	23	of	of	ADP
ejpam-3634	387	24	x	x	NOUN
ejpam-3634	387	25	,	,	PUNCT
ejpam-3634	387	26	respectively	respectively	ADV
ejpam-3634	387	27	.	.	PUNCT
ejpam-3634	388	1	the	the	DET
ejpam-3634	388	2	intersection	intersection	NOUN
ejpam-3634	388	3	of	of	ADP
ejpam-3634	388	4	xn	xn	PROPN
ejpam-3634	388	5	and	and	CCONJ
ejpam-3634	388	6	xm	xm	PROPN
ejpam-3634	388	7	is	be	AUX
ejpam-3634	388	8	a	a	DET
ejpam-3634	388	9	ξ	ξ	PROPN
ejpam-3634	388	10	-	-	ADJ
ejpam-3634	388	11	neutrosophic	neutrosophic	ADJ
ejpam-3634	388	12	n	n	CCONJ
ejpam-3634	388	13	-	-	PUNCT
ejpam-3634	388	14	ary	ary	PROPN
ejpam-3634	388	15	n	n	NUM
ejpam-3634	388	16	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	388	17	of	of	ADP
ejpam-3634	388	18	x	x	PUNCT
ejpam-3634	388	19	for	for	ADP
ejpam-3634	388	20	ξ	ξ	PRON
ejpam-3634	388	21	:	:	PUNCT
ejpam-3634	388	22	=	=	SYM
ejpam-3634	388	23	ε	ε	PROPN
ejpam-3634	388	24	∧	∧	PROPN
ejpam-3634	388	25	δ	δ	PROPN
ejpam-3634	388	26	where	where	SCONJ
ejpam-3634	388	27	(	(	PUNCT
ejpam-3634	388	28	ξt	ξt	INTJ
ejpam-3634	388	29	,	,	PUNCT
ejpam-3634	388	30	ξi	ξi	INTJ
ejpam-3634	388	31	,	,	PUNCT
ejpam-3634	388	32	ξf	ξf	PROPN
ejpam-3634	388	33	)	)	PUNCT
ejpam-3634	388	34	=	=	SYM
ejpam-3634	389	1	(	(	PUNCT
ejpam-3634	389	2	εt	εt	PROPN
ejpam-3634	389	3	∨	∨	NUM
ejpam-3634	389	4	δt	δt	PROPN
ejpam-3634	389	5	,	,	PUNCT
ejpam-3634	389	6	εi	εi	VERB
ejpam-3634	389	7	∧	∧	PROPN
ejpam-3634	389	8	δi	δi	NOUN
ejpam-3634	389	9	,	,	PUNCT
ejpam-3634	389	10	εf	εf	PROPN
ejpam-3634	389	11	∨	∨	NUM
ejpam-3634	389	12	δf	δf	PROPN
ejpam-3634	389	13	)	)	PUNCT
ejpam-3634	389	14	.	.	PUNCT
ejpam-3634	390	1	proof	proof	NOUN
ejpam-3634	390	2	.	.	PUNCT
ejpam-3634	391	1	for	for	ADP
ejpam-3634	391	2	any	any	DET
ejpam-3634	391	3	x1	x1	PROPN
ejpam-3634	391	4	,	,	PUNCT
ejpam-3634	391	5	.	.	PUNCT
ejpam-3634	391	6	.	.	PUNCT
ejpam-3634	391	7	.	.	PUNCT
ejpam-3634	392	1	,	,	PUNCT
ejpam-3634	392	2	xn	xn	PUNCT
ejpam-3634	392	3	∈	∈	PROPN
ejpam-3634	392	4	x	x	NOUN
ejpam-3634	392	5	,	,	PUNCT
ejpam-3634	392	6	we	we	PRON
ejpam-3634	392	7	have	have	VERB
ejpam-3634	392	8	tn∩m	tn∩m	NOUN
ejpam-3634	392	9	(	(	PUNCT
ejpam-3634	392	10	f(xn1	f(xn1	PROPN
ejpam-3634	392	11	)	)	PUNCT
ejpam-3634	392	12	)	)	PUNCT
ejpam-3634	393	1	=	=	PUNCT
ejpam-3634	393	2	∨	∨	X
ejpam-3634	393	3	{	{	PUNCT
ejpam-3634	393	4	tn	tn	PROPN
ejpam-3634	393	5	(	(	PUNCT
ejpam-3634	393	6	f(xn1	f(xn1	PROPN
ejpam-3634	393	7	)	)	PUNCT
ejpam-3634	393	8	)	)	PUNCT
ejpam-3634	393	9	,	,	PUNCT
ejpam-3634	393	10	tm	tm	PROPN
ejpam-3634	393	11	(	(	PUNCT
ejpam-3634	393	12	f(xn1	f(xn1	PROPN
ejpam-3634	393	13	)	)	PUNCT
ejpam-3634	393	14	)	)	PUNCT
ejpam-3634	393	15	}	}	PUNCT
ejpam-3634	393	16	≤	≤	X
ejpam-3634	393	17	∨{∨	∨{∨	PROPN
ejpam-3634	393	18	{	{	PUNCT
ejpam-3634	393	19	tn	tn	PROPN
ejpam-3634	393	20	(	(	PUNCT
ejpam-3634	393	21	x1	x1	PROPN
ejpam-3634	393	22	)	)	PUNCT
ejpam-3634	393	23	,	,	PUNCT
ejpam-3634	393	24	.	.	PUNCT
ejpam-3634	393	25	.	.	PUNCT
ejpam-3634	394	1	.	.	PUNCT
ejpam-3634	395	1	,	,	PUNCT
ejpam-3634	395	2	tn	tn	PROPN
ejpam-3634	395	3	(	(	PUNCT
ejpam-3634	395	4	xn	xn	PROPN
ejpam-3634	395	5	)	)	PUNCT
ejpam-3634	395	6	,	,	PUNCT
ejpam-3634	395	7	εt	εt	PROPN
ejpam-3634	395	8	}	}	PUNCT
ejpam-3634	395	9	,	,	PUNCT
ejpam-3634	395	10	∨	∨	X
ejpam-3634	395	11	{	{	PUNCT
ejpam-3634	395	12	tm	tm	PROPN
ejpam-3634	395	13	(	(	PUNCT
ejpam-3634	395	14	x1	x1	PROPN
ejpam-3634	395	15	)	)	PUNCT
ejpam-3634	395	16	,	,	PUNCT
ejpam-3634	395	17	.	.	PUNCT
ejpam-3634	395	18	.	.	PUNCT
ejpam-3634	395	19	.	.	PUNCT
ejpam-3634	396	1	,	,	PUNCT
ejpam-3634	396	2	tm	tm	PROPN
ejpam-3634	396	3	(	(	PUNCT
ejpam-3634	396	4	xn	xn	PROPN
ejpam-3634	396	5	)	)	PUNCT
ejpam-3634	396	6	,	,	PUNCT
ejpam-3634	396	7	δt	δt	ADP
ejpam-3634	396	8	}	}	PUNCT
ejpam-3634	396	9	}	}	PUNCT
ejpam-3634	396	10	≤	≤	NUM
ejpam-3634	396	11	∨{∨	∨{∨	PROPN
ejpam-3634	396	12	{	{	PUNCT
ejpam-3634	396	13	tn	tn	PROPN
ejpam-3634	396	14	(	(	PUNCT
ejpam-3634	396	15	x1	x1	PROPN
ejpam-3634	396	16	)	)	PUNCT
ejpam-3634	396	17	,	,	PUNCT
ejpam-3634	396	18	.	.	PUNCT
ejpam-3634	396	19	.	.	PUNCT
ejpam-3634	397	1	.	.	PUNCT
ejpam-3634	398	1	,	,	PUNCT
ejpam-3634	398	2	tn	tn	PROPN
ejpam-3634	398	3	(	(	PUNCT
ejpam-3634	398	4	xn	xn	PROPN
ejpam-3634	398	5	)	)	PUNCT
ejpam-3634	398	6	,	,	PUNCT
ejpam-3634	398	7	ξt	ξt	X
ejpam-3634	398	8	}	}	PUNCT
ejpam-3634	398	9	,	,	PUNCT
ejpam-3634	398	10	∨	∨	X
ejpam-3634	398	11	{	{	PUNCT
ejpam-3634	398	12	tm	tm	PROPN
ejpam-3634	398	13	(	(	PUNCT
ejpam-3634	398	14	x1	x1	PROPN
ejpam-3634	398	15	)	)	PUNCT
ejpam-3634	398	16	,	,	PUNCT
ejpam-3634	398	17	.	.	PUNCT
ejpam-3634	398	18	.	.	PUNCT
ejpam-3634	398	19	.	.	PUNCT
ejpam-3634	399	1	,	,	PUNCT
ejpam-3634	399	2	tm	tm	PROPN
ejpam-3634	399	3	(	(	PUNCT
ejpam-3634	399	4	xn	xn	PROPN
ejpam-3634	399	5	)	)	PUNCT
ejpam-3634	399	6	,	,	PUNCT
ejpam-3634	399	7	ξt	ξt	X
ejpam-3634	399	8	}	}	PUNCT
ejpam-3634	399	9	}	}	PUNCT
ejpam-3634	399	10	=	=	PUNCT
ejpam-3634	399	11	∨{∨	∨{∨	PROPN
ejpam-3634	399	12	{	{	PUNCT
ejpam-3634	399	13	tn	tn	PROPN
ejpam-3634	399	14	(	(	PUNCT
ejpam-3634	399	15	x1	x1	PROPN
ejpam-3634	399	16	)	)	PUNCT
ejpam-3634	399	17	,	,	PUNCT
ejpam-3634	399	18	tm	tm	PROPN
ejpam-3634	399	19	(	(	PUNCT
ejpam-3634	399	20	x1	x1	PROPN
ejpam-3634	399	21	)	)	PUNCT
ejpam-3634	399	22	,	,	PUNCT
ejpam-3634	399	23	ξt	ξt	X
ejpam-3634	399	24	}	}	PUNCT
ejpam-3634	399	25	,	,	PUNCT
ejpam-3634	399	26	.	.	PUNCT
ejpam-3634	399	27	.	.	PUNCT
ejpam-3634	400	1	.	.	PUNCT
ejpam-3634	401	1	,	,	PUNCT
ejpam-3634	401	2	∨	∨	X
ejpam-3634	401	3	{	{	PUNCT
ejpam-3634	401	4	tn	tn	PROPN
ejpam-3634	401	5	(	(	PUNCT
ejpam-3634	401	6	xn	xn	PROPN
ejpam-3634	401	7	)	)	PUNCT
ejpam-3634	401	8	,	,	PUNCT
ejpam-3634	401	9	tm	tm	PROPN
ejpam-3634	401	10	(	(	PUNCT
ejpam-3634	401	11	xn	xn	PROPN
ejpam-3634	401	12	)	)	PUNCT
ejpam-3634	401	13	,	,	PUNCT
ejpam-3634	401	14	ξt	ξt	X
ejpam-3634	401	15	}	}	PUNCT
ejpam-3634	401	16	}	}	PUNCT
ejpam-3634	401	17	=	=	PUNCT
ejpam-3634	401	18	∨{∨	∨{∨	PROPN
ejpam-3634	401	19	{	{	PUNCT
ejpam-3634	401	20	tn	tn	PROPN
ejpam-3634	401	21	(	(	PUNCT
ejpam-3634	401	22	x1	x1	PROPN
ejpam-3634	401	23	)	)	PUNCT
ejpam-3634	401	24	,	,	PUNCT
ejpam-3634	401	25	tm	tm	PROPN
ejpam-3634	401	26	(	(	PUNCT
ejpam-3634	401	27	x1	x1	PROPN
ejpam-3634	401	28	)	)	PUNCT
ejpam-3634	401	29	}	}	PUNCT
ejpam-3634	401	30	,	,	PUNCT
ejpam-3634	401	31	.	.	PUNCT
ejpam-3634	401	32	.	.	PUNCT
ejpam-3634	402	1	.	.	PUNCT
ejpam-3634	403	1	,	,	PUNCT
ejpam-3634	403	2	∨	∨	X
ejpam-3634	403	3	{	{	PUNCT
ejpam-3634	403	4	tn	tn	PROPN
ejpam-3634	403	5	(	(	PUNCT
ejpam-3634	403	6	xn	xn	PROPN
ejpam-3634	403	7	)	)	PUNCT
ejpam-3634	403	8	,	,	PUNCT
ejpam-3634	403	9	tm	tm	PROPN
ejpam-3634	403	10	(	(	PUNCT
ejpam-3634	403	11	xn	xn	PROPN
ejpam-3634	403	12	)	)	PUNCT
ejpam-3634	403	13	}	}	PUNCT
ejpam-3634	403	14	,	,	PUNCT
ejpam-3634	403	15	ξt	ξt	X
ejpam-3634	403	16	}	}	PUNCT
ejpam-3634	403	17	=	=	SYM
ejpam-3634	403	18	∨	∨	NUM
ejpam-3634	403	19	{	{	PUNCT
ejpam-3634	403	20	tn∩m	tn∩m	NOUN
ejpam-3634	403	21	(	(	PUNCT
ejpam-3634	403	22	x1	x1	PROPN
ejpam-3634	403	23	)	)	PUNCT
ejpam-3634	403	24	,	,	PUNCT
ejpam-3634	403	25	.	.	PUNCT
ejpam-3634	403	26	.	.	PUNCT
ejpam-3634	404	1	.	.	PUNCT
ejpam-3634	405	1	,	,	PUNCT
ejpam-3634	405	2	tn∩m	tn∩m	NOUN
ejpam-3634	405	3	(	(	PUNCT
ejpam-3634	405	4	xn	xn	PROPN
ejpam-3634	405	5	)	)	PUNCT
ejpam-3634	405	6	,	,	PUNCT
ejpam-3634	405	7	ξt	ξt	X
ejpam-3634	405	8	}	}	PUNCT
ejpam-3634	405	9	,	,	PUNCT
ejpam-3634	405	10	in∩m	in∩m	X
ejpam-3634	405	11	(	(	PUNCT
ejpam-3634	405	12	f(xn1	f(xn1	PROPN
ejpam-3634	405	13	)	)	PUNCT
ejpam-3634	405	14	)	)	PUNCT
ejpam-3634	406	1	=	=	PUNCT
ejpam-3634	406	2	∧	∧	NOUN
ejpam-3634	406	3	{	{	PUNCT
ejpam-3634	406	4	in	in	ADP
ejpam-3634	406	5	(	(	PUNCT
ejpam-3634	406	6	f(xn1	f(xn1	PROPN
ejpam-3634	406	7	)	)	PUNCT
ejpam-3634	406	8	)	)	PUNCT
ejpam-3634	406	9	,	,	PUNCT
ejpam-3634	406	10	i	i	PRON
ejpam-3634	406	11	m	m	VERB
ejpam-3634	406	12	(	(	PUNCT
ejpam-3634	406	13	f(xn1	f(xn1	PROPN
ejpam-3634	406	14	)	)	PUNCT
ejpam-3634	406	15	)	)	PUNCT
ejpam-3634	406	16	}	}	PUNCT
ejpam-3634	406	17	≥	≥	X
ejpam-3634	406	18	∧{∧	∧{∧	X
ejpam-3634	406	19	{	{	PUNCT
ejpam-3634	406	20	in	in	ADP
ejpam-3634	406	21	(	(	PUNCT
ejpam-3634	406	22	x1	x1	PROPN
ejpam-3634	406	23	)	)	PUNCT
ejpam-3634	406	24	,	,	PUNCT
ejpam-3634	406	25	.	.	PUNCT
ejpam-3634	406	26	.	.	PUNCT
ejpam-3634	406	27	.	.	PUNCT
ejpam-3634	407	1	,	,	PUNCT
ejpam-3634	407	2	in	in	ADP
ejpam-3634	407	3	(	(	PUNCT
ejpam-3634	407	4	xn	xn	PROPN
ejpam-3634	407	5	)	)	PUNCT
ejpam-3634	407	6	,	,	PUNCT
ejpam-3634	407	7	εi	εi	VERB
ejpam-3634	407	8	}	}	PUNCT
ejpam-3634	407	9	,	,	PUNCT
ejpam-3634	407	10	∧	∧	PROPN
ejpam-3634	407	11	{	{	PUNCT
ejpam-3634	407	12	i	i	NOUN
ejpam-3634	407	13	m	m	VERB
ejpam-3634	407	14	(	(	PUNCT
ejpam-3634	407	15	x1	x1	PROPN
ejpam-3634	407	16	)	)	PUNCT
ejpam-3634	407	17	,	,	PUNCT
ejpam-3634	407	18	.	.	PUNCT
ejpam-3634	407	19	.	.	PUNCT
ejpam-3634	408	1	.	.	PUNCT
ejpam-3634	409	1	,	,	PUNCT
ejpam-3634	410	1	i	i	PRON
ejpam-3634	410	2	m	m	VERB
ejpam-3634	410	3	(	(	PUNCT
ejpam-3634	410	4	xn	xn	PROPN
ejpam-3634	410	5	)	)	PUNCT
ejpam-3634	410	6	,	,	PUNCT
ejpam-3634	410	7	δi	δi	ADP
ejpam-3634	410	8	}	}	PUNCT
ejpam-3634	410	9	}	}	PUNCT
ejpam-3634	410	10	≥	≥	X
ejpam-3634	410	11	∧{∧	∧{∧	X
ejpam-3634	410	12	{	{	PUNCT
ejpam-3634	410	13	in	in	ADP
ejpam-3634	410	14	(	(	PUNCT
ejpam-3634	410	15	x1	x1	PROPN
ejpam-3634	410	16	)	)	PUNCT
ejpam-3634	410	17	,	,	PUNCT
ejpam-3634	410	18	.	.	PUNCT
ejpam-3634	410	19	.	.	PUNCT
ejpam-3634	410	20	.	.	PUNCT
ejpam-3634	411	1	,	,	PUNCT
ejpam-3634	411	2	in	in	ADP
ejpam-3634	411	3	(	(	PUNCT
ejpam-3634	411	4	xn	xn	PROPN
ejpam-3634	411	5	)	)	PUNCT
ejpam-3634	411	6	,	,	PUNCT
ejpam-3634	411	7	ξi	ξi	NOUN
ejpam-3634	411	8	}	}	PUNCT
ejpam-3634	411	9	,	,	PUNCT
ejpam-3634	411	10	∧	∧	PROPN
ejpam-3634	411	11	{	{	PUNCT
ejpam-3634	411	12	i	i	NOUN
ejpam-3634	411	13	m	m	VERB
ejpam-3634	411	14	(	(	PUNCT
ejpam-3634	411	15	x1	x1	PROPN
ejpam-3634	411	16	)	)	PUNCT
ejpam-3634	411	17	,	,	PUNCT
ejpam-3634	411	18	.	.	PUNCT
ejpam-3634	411	19	.	.	PUNCT
ejpam-3634	411	20	.	.	PUNCT
ejpam-3634	412	1	,	,	PUNCT
ejpam-3634	412	2	i	i	PRON
ejpam-3634	412	3	m	m	VERB
ejpam-3634	412	4	(	(	PUNCT
ejpam-3634	412	5	xn	xn	PROPN
ejpam-3634	412	6	)	)	PUNCT
ejpam-3634	412	7	,	,	PUNCT
ejpam-3634	412	8	ξi	ξi	NOUN
ejpam-3634	412	9	}	}	PUNCT
ejpam-3634	412	10	}	}	PUNCT
ejpam-3634	412	11	=	=	SYM
ejpam-3634	412	12	∧{∧	∧{∧	X
ejpam-3634	412	13	{	{	PUNCT
ejpam-3634	412	14	in	in	ADP
ejpam-3634	412	15	(	(	PUNCT
ejpam-3634	412	16	x1	x1	PROPN
ejpam-3634	412	17	)	)	PUNCT
ejpam-3634	412	18	,	,	PUNCT
ejpam-3634	412	19	i	i	PRON
ejpam-3634	412	20	m	m	VERB
ejpam-3634	412	21	(	(	PUNCT
ejpam-3634	412	22	x1	x1	PROPN
ejpam-3634	412	23	)	)	PUNCT
ejpam-3634	412	24	,	,	PUNCT
ejpam-3634	412	25	ξi	ξi	NOUN
ejpam-3634	412	26	}	}	PUNCT
ejpam-3634	412	27	,	,	PUNCT
ejpam-3634	412	28	.	.	PUNCT
ejpam-3634	412	29	.	.	PUNCT
ejpam-3634	412	30	.	.	PUNCT
ejpam-3634	413	1	,	,	PUNCT
ejpam-3634	413	2	∧	∧	NOUN
ejpam-3634	413	3	{	{	PUNCT
ejpam-3634	413	4	in	in	ADP
ejpam-3634	413	5	(	(	PUNCT
ejpam-3634	413	6	xn	xn	PROPN
ejpam-3634	413	7	)	)	PUNCT
ejpam-3634	413	8	,	,	PUNCT
ejpam-3634	413	9	i	i	PRON
ejpam-3634	413	10	m	m	VERB
ejpam-3634	413	11	(	(	PUNCT
ejpam-3634	413	12	xn	xn	PROPN
ejpam-3634	413	13	)	)	PUNCT
ejpam-3634	413	14	,	,	PUNCT
ejpam-3634	413	15	ξi	ξi	NOUN
ejpam-3634	413	16	}	}	PUNCT
ejpam-3634	413	17	}	}	PUNCT
ejpam-3634	413	18	=	=	SYM
ejpam-3634	413	19	∧{∧	∧{∧	X
ejpam-3634	413	20	{	{	PUNCT
ejpam-3634	413	21	in	in	ADP
ejpam-3634	413	22	(	(	PUNCT
ejpam-3634	413	23	x1	x1	PROPN
ejpam-3634	413	24	)	)	PUNCT
ejpam-3634	413	25	,	,	PUNCT
ejpam-3634	413	26	i	i	PRON
ejpam-3634	413	27	m	m	VERB
ejpam-3634	413	28	(	(	PUNCT
ejpam-3634	413	29	x1	x1	PROPN
ejpam-3634	413	30	)	)	PUNCT
ejpam-3634	413	31	}	}	PUNCT
ejpam-3634	413	32	,	,	PUNCT
ejpam-3634	413	33	.	.	PUNCT
ejpam-3634	413	34	.	.	PUNCT
ejpam-3634	413	35	.	.	PUNCT
ejpam-3634	414	1	,	,	PUNCT
ejpam-3634	414	2	∧	∧	NOUN
ejpam-3634	414	3	{	{	PUNCT
ejpam-3634	414	4	in	in	ADP
ejpam-3634	414	5	(	(	PUNCT
ejpam-3634	414	6	xn	xn	PROPN
ejpam-3634	414	7	)	)	PUNCT
ejpam-3634	414	8	,	,	PUNCT
ejpam-3634	414	9	i	i	PRON
ejpam-3634	414	10	m	m	VERB
ejpam-3634	414	11	(	(	PUNCT
ejpam-3634	414	12	xn	xn	PROPN
ejpam-3634	414	13	)	)	PUNCT
ejpam-3634	414	14	}	}	PUNCT
ejpam-3634	414	15	,	,	PUNCT
ejpam-3634	414	16	ξi	ξi	INTJ
ejpam-3634	414	17	}	}	PUNCT
ejpam-3634	414	18	=	=	SYM
ejpam-3634	414	19	∧	∧	NOUN
ejpam-3634	414	20	{	{	PUNCT
ejpam-3634	414	21	in∩m	in∩m	X
ejpam-3634	414	22	(	(	PUNCT
ejpam-3634	414	23	x1	x1	PROPN
ejpam-3634	414	24	)	)	PUNCT
ejpam-3634	414	25	,	,	PUNCT
ejpam-3634	414	26	.	.	PUNCT
ejpam-3634	414	27	.	.	PUNCT
ejpam-3634	414	28	.	.	PUNCT
ejpam-3634	415	1	,	,	PUNCT
ejpam-3634	415	2	in∩m	in∩m	X
ejpam-3634	415	3	(	(	PUNCT
ejpam-3634	415	4	xn	xn	NUM
ejpam-3634	415	5	)	)	PUNCT
ejpam-3634	415	6	,	,	PUNCT
ejpam-3634	415	7	ξi	ξi	NOUN
ejpam-3634	415	8	}	}	PUNCT
ejpam-3634	415	9	,	,	PUNCT
ejpam-3634	415	10	fn∩m	fn∩m	ADV
ejpam-3634	415	11	(	(	PUNCT
ejpam-3634	415	12	f(xn1	f(xn1	PROPN
ejpam-3634	415	13	)	)	PUNCT
ejpam-3634	415	14	)	)	PUNCT
ejpam-3634	416	1	=	=	PUNCT
ejpam-3634	416	2	∨	∨	X
ejpam-3634	416	3	{	{	PUNCT
ejpam-3634	416	4	fn	fn	PROPN
ejpam-3634	416	5	(	(	PUNCT
ejpam-3634	416	6	f(xn1	f(xn1	PROPN
ejpam-3634	416	7	)	)	PUNCT
ejpam-3634	416	8	)	)	PUNCT
ejpam-3634	416	9	,	,	PUNCT
ejpam-3634	416	10	fm	fm	PROPN
ejpam-3634	416	11	(	(	PUNCT
ejpam-3634	416	12	f(xn1	f(xn1	PROPN
ejpam-3634	416	13	)	)	PUNCT
ejpam-3634	416	14	)	)	PUNCT
ejpam-3634	416	15	}	}	PUNCT
ejpam-3634	416	16	≤	≤	X
ejpam-3634	416	17	∨{∨	∨{∨	PROPN
ejpam-3634	416	18	{	{	PUNCT
ejpam-3634	416	19	fn	fn	NOUN
ejpam-3634	416	20	(	(	PUNCT
ejpam-3634	416	21	x1	x1	PROPN
ejpam-3634	416	22	)	)	PUNCT
ejpam-3634	416	23	,	,	PUNCT
ejpam-3634	416	24	.	.	PUNCT
ejpam-3634	416	25	.	.	PUNCT
ejpam-3634	416	26	.	.	PUNCT
ejpam-3634	417	1	,	,	PUNCT
ejpam-3634	417	2	fn	fn	INTJ
ejpam-3634	417	3	(	(	PUNCT
ejpam-3634	417	4	xn	xn	PROPN
ejpam-3634	417	5	)	)	PUNCT
ejpam-3634	417	6	,	,	PUNCT
ejpam-3634	417	7	εf	εf	X
ejpam-3634	417	8	}	}	PUNCT
ejpam-3634	417	9	,	,	PUNCT
ejpam-3634	417	10	∨	∨	X
ejpam-3634	417	11	{	{	PUNCT
ejpam-3634	417	12	fm	fm	PROPN
ejpam-3634	417	13	(	(	PUNCT
ejpam-3634	417	14	x1	x1	PROPN
ejpam-3634	417	15	)	)	PUNCT
ejpam-3634	417	16	,	,	PUNCT
ejpam-3634	417	17	.	.	PUNCT
ejpam-3634	417	18	.	.	PUNCT
ejpam-3634	418	1	.	.	PUNCT
ejpam-3634	419	1	,	,	PUNCT
ejpam-3634	419	2	fm	fm	PROPN
ejpam-3634	419	3	(	(	PUNCT
ejpam-3634	419	4	xn	xn	PROPN
ejpam-3634	419	5	)	)	PUNCT
ejpam-3634	419	6	,	,	PUNCT
ejpam-3634	419	7	δf	δf	ADP
ejpam-3634	419	8	}	}	PUNCT
ejpam-3634	419	9	}	}	PUNCT
ejpam-3634	419	10	≤	≤	NUM
ejpam-3634	419	11	∨{∨	∨{∨	PROPN
ejpam-3634	419	12	{	{	PUNCT
ejpam-3634	419	13	fn	fn	NOUN
ejpam-3634	419	14	(	(	PUNCT
ejpam-3634	419	15	x1	x1	PROPN
ejpam-3634	419	16	)	)	PUNCT
ejpam-3634	419	17	,	,	PUNCT
ejpam-3634	419	18	.	.	PUNCT
ejpam-3634	419	19	.	.	PUNCT
ejpam-3634	420	1	.	.	PUNCT
ejpam-3634	421	1	,	,	PUNCT
ejpam-3634	421	2	fn	fn	INTJ
ejpam-3634	421	3	(	(	PUNCT
ejpam-3634	421	4	xn	xn	PROPN
ejpam-3634	421	5	)	)	PUNCT
ejpam-3634	421	6	,	,	PUNCT
ejpam-3634	421	7	ξf	ξf	ADP
ejpam-3634	421	8	}	}	PUNCT
ejpam-3634	421	9	,	,	PUNCT
ejpam-3634	421	10	∨	∨	X
ejpam-3634	421	11	{	{	PUNCT
ejpam-3634	421	12	fm	fm	PROPN
ejpam-3634	421	13	(	(	PUNCT
ejpam-3634	421	14	x1	x1	PROPN
ejpam-3634	421	15	)	)	PUNCT
ejpam-3634	421	16	,	,	PUNCT
ejpam-3634	421	17	.	.	PUNCT
ejpam-3634	421	18	.	.	PUNCT
ejpam-3634	422	1	.	.	PUNCT
ejpam-3634	423	1	,	,	PUNCT
ejpam-3634	423	2	fm	fm	PROPN
ejpam-3634	423	3	(	(	PUNCT
ejpam-3634	423	4	xn	xn	PROPN
ejpam-3634	423	5	)	)	PUNCT
ejpam-3634	423	6	,	,	PUNCT
ejpam-3634	423	7	ξf	ξf	ADP
ejpam-3634	423	8	}	}	PUNCT
ejpam-3634	423	9	}	}	PUNCT
ejpam-3634	423	10	=	=	PUNCT
ejpam-3634	423	11	∨{∨	∨{∨	PROPN
ejpam-3634	423	12	{	{	PUNCT
ejpam-3634	423	13	fn	fn	NOUN
ejpam-3634	423	14	(	(	PUNCT
ejpam-3634	423	15	x1	x1	PROPN
ejpam-3634	423	16	)	)	PUNCT
ejpam-3634	423	17	,	,	PUNCT
ejpam-3634	423	18	fm	fm	PROPN
ejpam-3634	423	19	(	(	PUNCT
ejpam-3634	423	20	x1	x1	PROPN
ejpam-3634	423	21	)	)	PUNCT
ejpam-3634	423	22	,	,	PUNCT
ejpam-3634	423	23	ξf	ξf	ADP
ejpam-3634	423	24	}	}	PUNCT
ejpam-3634	423	25	,	,	PUNCT
ejpam-3634	423	26	.	.	PUNCT
ejpam-3634	423	27	.	.	PUNCT
ejpam-3634	424	1	.	.	PUNCT
ejpam-3634	425	1	,	,	PUNCT
ejpam-3634	425	2	∨	∨	X
ejpam-3634	425	3	{	{	PUNCT
ejpam-3634	425	4	fn	fn	PROPN
ejpam-3634	425	5	(	(	PUNCT
ejpam-3634	425	6	xn	xn	PROPN
ejpam-3634	425	7	)	)	PUNCT
ejpam-3634	425	8	,	,	PUNCT
ejpam-3634	425	9	fm	fm	PROPN
ejpam-3634	425	10	(	(	PUNCT
ejpam-3634	425	11	xn	xn	PROPN
ejpam-3634	425	12	)	)	PUNCT
ejpam-3634	425	13	,	,	PUNCT
ejpam-3634	425	14	ξf	ξf	ADP
ejpam-3634	425	15	}	}	PUNCT
ejpam-3634	425	16	}	}	PUNCT
ejpam-3634	425	17	a.	a.	NOUN
ejpam-3634	425	18	rattana	rattana	PROPN
ejpam-3634	425	19	,	,	PUNCT
ejpam-3634	425	20	r.	r.	PROPN
ejpam-3634	425	21	chinram	chinram	PROPN
ejpam-3634	425	22	/	/	SYM
ejpam-3634	425	23	eur	eur	PROPN
ejpam-3634	425	24	.	.	PUNCT
ejpam-3634	426	1	j.	j.	PROPN
ejpam-3634	426	2	pure	pure	PROPN
ejpam-3634	426	3	appl	appl	PROPN
ejpam-3634	426	4	.	.	PROPN
ejpam-3634	426	5	math	math	PROPN
ejpam-3634	426	6	,	,	PUNCT
ejpam-3634	426	7	13	13	NUM
ejpam-3634	426	8	(	(	PUNCT
ejpam-3634	426	9	2	2	NUM
ejpam-3634	426	10	)	)	PUNCT
ejpam-3634	426	11	(	(	PUNCT
ejpam-3634	426	12	2020	2020	NUM
ejpam-3634	426	13	)	)	PUNCT
ejpam-3634	426	14	,	,	PUNCT
ejpam-3634	426	15	200	200	NUM
ejpam-3634	426	16	-	-	SYM
ejpam-3634	426	17	215	215	NUM
ejpam-3634	426	18	210	210	NUM
ejpam-3634	426	19	=	=	SYM
ejpam-3634	426	20	∨{∨	∨{∨	PROPN
ejpam-3634	426	21	{	{	PUNCT
ejpam-3634	426	22	fn	fn	NOUN
ejpam-3634	426	23	(	(	PUNCT
ejpam-3634	426	24	x1	x1	PROPN
ejpam-3634	426	25	)	)	PUNCT
ejpam-3634	426	26	,	,	PUNCT
ejpam-3634	426	27	fm	fm	PROPN
ejpam-3634	426	28	(	(	PUNCT
ejpam-3634	426	29	x1	x1	PROPN
ejpam-3634	426	30	)	)	PUNCT
ejpam-3634	426	31	}	}	PUNCT
ejpam-3634	426	32	,	,	PUNCT
ejpam-3634	426	33	.	.	PUNCT
ejpam-3634	426	34	.	.	PUNCT
ejpam-3634	426	35	.	.	PUNCT
ejpam-3634	427	1	,	,	PUNCT
ejpam-3634	427	2	∨	∨	X
ejpam-3634	427	3	{	{	PUNCT
ejpam-3634	427	4	fn	fn	PROPN
ejpam-3634	427	5	(	(	PUNCT
ejpam-3634	427	6	xn	xn	PROPN
ejpam-3634	427	7	)	)	PUNCT
ejpam-3634	427	8	,	,	PUNCT
ejpam-3634	427	9	fm	fm	PROPN
ejpam-3634	427	10	(	(	PUNCT
ejpam-3634	427	11	xn	xn	PROPN
ejpam-3634	427	12	)	)	PUNCT
ejpam-3634	427	13	}	}	PUNCT
ejpam-3634	427	14	,	,	PUNCT
ejpam-3634	427	15	ξf	ξf	INTJ
ejpam-3634	427	16	}	}	PUNCT
ejpam-3634	427	17	=	=	SYM
ejpam-3634	427	18	∨	∨	X
ejpam-3634	427	19	{	{	PUNCT
ejpam-3634	427	20	fn∩m	fn∩m	ADV
ejpam-3634	427	21	(	(	PUNCT
ejpam-3634	427	22	x1	x1	PROPN
ejpam-3634	427	23	)	)	PUNCT
ejpam-3634	427	24	,	,	PUNCT
ejpam-3634	427	25	.	.	PUNCT
ejpam-3634	427	26	.	.	PUNCT
ejpam-3634	428	1	.	.	PUNCT
ejpam-3634	429	1	,	,	PUNCT
ejpam-3634	429	2	fn∩m	fn∩m	ADV
ejpam-3634	429	3	(	(	PUNCT
ejpam-3634	429	4	xn	xn	PROPN
ejpam-3634	429	5	)	)	PUNCT
ejpam-3634	429	6	,	,	PUNCT
ejpam-3634	429	7	ξf	ξf	ADP
ejpam-3634	429	8	}	}	PUNCT
ejpam-3634	429	9	.	.	PUNCT
ejpam-3634	430	1	therefore	therefore	ADV
ejpam-3634	430	2	xn∩m	xn∩m	PRON
ejpam-3634	430	3	is	be	AUX
ejpam-3634	430	4	a	a	DET
ejpam-3634	430	5	ξ	ξ	PROPN
ejpam-3634	430	6	-	-	ADJ
ejpam-3634	430	7	neutrosophic	neutrosophic	ADJ
ejpam-3634	430	8	n	n	CCONJ
ejpam-3634	430	9	-	-	PUNCT
ejpam-3634	430	10	ary	ary	PROPN
ejpam-3634	430	11	n	n	NUM
ejpam-3634	430	12	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	430	13	of	of	ADP
ejpam-3634	430	14	x.	x.	PROPN
ejpam-3634	430	15	theorem	theorem	VERB
ejpam-3634	430	16	9	9	NUM
ejpam-3634	430	17	.	.	PUNCT
ejpam-3634	431	1	let	let	VERB
ejpam-3634	431	2	xn	xn	PUNCT
ejpam-3634	431	3	be	be	AUX
ejpam-3634	431	4	an	an	DET
ejpam-3634	431	5	ε	ε	PROPN
ejpam-3634	431	6	-	-	PUNCT
ejpam-3634	431	7	neutrosophic	neutrosophic	ADJ
ejpam-3634	431	8	n	n	CCONJ
ejpam-3634	431	9	-	-	PUNCT
ejpam-3634	431	10	ary	ary	PROPN
ejpam-3634	431	11	n	n	NUM
ejpam-3634	431	12	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	431	13	of	of	ADP
ejpam-3634	431	14	x.	x.	NOUN
ejpam-3634	431	15	if	if	SCONJ
ejpam-3634	431	16	κ	κ	X
ejpam-3634	431	17	:	:	PUNCT
ejpam-3634	431	18	=	=	SYM
ejpam-3634	431	19	(	(	PUNCT
ejpam-3634	431	20	κt	κt	INTJ
ejpam-3634	431	21	,	,	PUNCT
ejpam-3634	431	22	κi	κi	NOUN
ejpam-3634	431	23	,	,	PUNCT
ejpam-3634	431	24	κf	κf	ADV
ejpam-3634	431	25	)	)	PUNCT
ejpam-3634	431	26	=	=	SYM
ejpam-3634	432	1	(	(	PUNCT
ejpam-3634	432	2	∨	∨	PROPN
ejpam-3634	432	3	x∈x	x∈x	PROPN
ejpam-3634	432	4	{	{	PUNCT
ejpam-3634	432	5	tn	tn	PROPN
ejpam-3634	432	6	(	(	PUNCT
ejpam-3634	432	7	x	x	NOUN
ejpam-3634	432	8	)	)	PUNCT
ejpam-3634	432	9	}	}	PUNCT
ejpam-3634	432	10	,	,	PUNCT
ejpam-3634	432	11	∧	∧	PROPN
ejpam-3634	432	12	x∈x	x∈x	NOUN
ejpam-3634	432	13	{	{	PUNCT
ejpam-3634	432	14	in	in	ADP
ejpam-3634	432	15	(	(	PUNCT
ejpam-3634	432	16	x	x	NOUN
ejpam-3634	432	17	)	)	PUNCT
ejpam-3634	432	18	}	}	PUNCT
ejpam-3634	432	19	,	,	PUNCT
ejpam-3634	432	20	∨	∨	NUM
ejpam-3634	432	21	x∈x	x∈x	PROPN
ejpam-3634	432	22	{	{	PUNCT
ejpam-3634	432	23	fn	fn	PROPN
ejpam-3634	432	24	(	(	PUNCT
ejpam-3634	432	25	x	x	NOUN
ejpam-3634	432	26	)	)	PUNCT
ejpam-3634	432	27	}	}	PUNCT
ejpam-3634	432	28	)	)	PUNCT
ejpam-3634	432	29	then	then	ADV
ejpam-3634	432	30	the	the	DET
ejpam-3634	432	31	set	set	PROPN
ejpam-3634	432	32	ω	ω	NOUN
ejpam-3634	432	33	:	:	PUNCT
ejpam-3634	432	34	=	=	SYM
ejpam-3634	432	35	{	{	PUNCT
ejpam-3634	432	36	x	x	SYM
ejpam-3634	432	37	∈	∈	PROPN
ejpam-3634	432	38	x	x	INTJ
ejpam-3634	432	39	|	|	ADV
ejpam-3634	432	40	tn	tn	PROPN
ejpam-3634	432	41	(	(	PUNCT
ejpam-3634	432	42	x	x	NOUN
ejpam-3634	432	43	)	)	PUNCT
ejpam-3634	432	44	≤	≤	NUM
ejpam-3634	432	45	κt	κt	NOUN
ejpam-3634	432	46	∨	∨	NUM
ejpam-3634	432	47	εt	εt	PROPN
ejpam-3634	432	48	,	,	PUNCT
ejpam-3634	432	49	in	in	ADP
ejpam-3634	432	50	(	(	PUNCT
ejpam-3634	432	51	x	x	NOUN
ejpam-3634	432	52	)	)	PUNCT
ejpam-3634	432	53	≥	≥	NOUN
ejpam-3634	432	54	κi	κi	NOUN
ejpam-3634	432	55	∧	∧	PROPN
ejpam-3634	432	56	εi	εi	VERB
ejpam-3634	432	57	,	,	PUNCT
ejpam-3634	432	58	fn	fn	ADJ
ejpam-3634	432	59	(	(	PUNCT
ejpam-3634	432	60	x	x	NOUN
ejpam-3634	432	61	)	)	PUNCT
ejpam-3634	432	62	≤	≤	NOUN
ejpam-3634	432	63	κf	κf	ADP
ejpam-3634	432	64	∨	∨	PROPN
ejpam-3634	432	65	εf	εf	PROPN
ejpam-3634	432	66	}	}	PUNCT
ejpam-3634	432	67	is	be	AUX
ejpam-3634	432	68	an	an	DET
ejpam-3634	432	69	n	n	CCONJ
ejpam-3634	432	70	-	-	PUNCT
ejpam-3634	432	71	ary	ary	NOUN
ejpam-3634	432	72	subgroupoid	subgroupoid	NOUN
ejpam-3634	432	73	of	of	ADP
ejpam-3634	432	74	x.	x.	NOUN
ejpam-3634	432	75	proof	proof	PROPN
ejpam-3634	432	76	.	.	PUNCT
ejpam-3634	433	1	let	let	VERB
ejpam-3634	433	2	x1	x1	NUM
ejpam-3634	433	3	,	,	PUNCT
ejpam-3634	433	4	.	.	PUNCT
ejpam-3634	433	5	.	.	PUNCT
ejpam-3634	434	1	.	.	PUNCT
ejpam-3634	435	1	,	,	PUNCT
ejpam-3634	435	2	xn	xn	PROPN
ejpam-3634	435	3	∈	∈	PROPN
ejpam-3634	435	4	ω	ω	PROPN
ejpam-3634	435	5	for	for	ADP
ejpam-3634	435	6	any	any	DET
ejpam-3634	435	7	x1	x1	PROPN
ejpam-3634	435	8	,	,	PUNCT
ejpam-3634	435	9	.	.	PUNCT
ejpam-3634	435	10	.	.	PUNCT
ejpam-3634	435	11	.	.	PUNCT
ejpam-3634	436	1	,	,	PUNCT
ejpam-3634	436	2	xn	xn	PUNCT
ejpam-3634	436	3	∈	∈	PROPN
ejpam-3634	436	4	x.	x.	NOUN
ejpam-3634	436	5	then	then	ADV
ejpam-3634	436	6	tn	tn	PROPN
ejpam-3634	436	7	(	(	PUNCT
ejpam-3634	436	8	x1	x1	PROPN
ejpam-3634	436	9	)	)	PUNCT
ejpam-3634	436	10	≤	≤	NUM
ejpam-3634	436	11	κt	κt	NOUN
ejpam-3634	436	12	∨	∨	NUM
ejpam-3634	436	13	εt	εt	PROPN
ejpam-3634	436	14	=	=	SYM
ejpam-3634	436	15	∨	∨	PROPN
ejpam-3634	436	16	x1∈x	x1∈x	PROPN
ejpam-3634	436	17	{	{	PUNCT
ejpam-3634	436	18	tn	tn	PROPN
ejpam-3634	436	19	(	(	PUNCT
ejpam-3634	436	20	x1	x1	PROPN
ejpam-3634	436	21	)	)	PUNCT
ejpam-3634	436	22	}	}	PUNCT
ejpam-3634	436	23	∨	∨	NUM
ejpam-3634	436	24	εt	εt	PROPN
ejpam-3634	436	25	,	,	PUNCT
ejpam-3634	436	26	in	in	ADP
ejpam-3634	436	27	(	(	PUNCT
ejpam-3634	436	28	x1	x1	PROPN
ejpam-3634	436	29	)	)	PUNCT
ejpam-3634	436	30	≥	≥	NOUN
ejpam-3634	436	31	κi	κi	VERB
ejpam-3634	436	32	∧	∧	PROPN
ejpam-3634	436	33	εi	εi	VERB
ejpam-3634	436	34	=	=	PUNCT
ejpam-3634	436	35	∧	∧	NOUN
ejpam-3634	436	36	x1∈x	x1∈x	PROPN
ejpam-3634	436	37	{	{	PUNCT
ejpam-3634	436	38	in	in	ADP
ejpam-3634	436	39	(	(	PUNCT
ejpam-3634	436	40	x1	x1	ADJ
ejpam-3634	436	41	)	)	PUNCT
ejpam-3634	436	42	}	}	PUNCT
ejpam-3634	436	43	∧	∧	NOUN
ejpam-3634	436	44	εi	εi	VERB
ejpam-3634	436	45	,	,	PUNCT
ejpam-3634	436	46	fn	fn	INTJ
ejpam-3634	436	47	(	(	PUNCT
ejpam-3634	436	48	x1	x1	PROPN
ejpam-3634	436	49	)	)	PUNCT
ejpam-3634	436	50	≤	≤	NOUN
ejpam-3634	436	51	κf	κf	ADP
ejpam-3634	436	52	∨	∨	NUM
ejpam-3634	436	53	εf	εf	X
ejpam-3634	436	54	=	=	SYM
ejpam-3634	436	55	∨	∨	PROPN
ejpam-3634	436	56	x1∈x	x1∈x	PROPN
ejpam-3634	436	57	{	{	PUNCT
ejpam-3634	436	58	fn	fn	X
ejpam-3634	436	59	(	(	PUNCT
ejpam-3634	436	60	x1	x1	PROPN
ejpam-3634	436	61	)	)	PUNCT
ejpam-3634	436	62	}	}	PUNCT
ejpam-3634	436	63	∨	∨	NUM
ejpam-3634	436	64	εf	εf	PROPN
ejpam-3634	436	65	,	,	PUNCT
ejpam-3634	436	66	...	...	PUNCT
ejpam-3634	437	1	tn	tn	PROPN
ejpam-3634	437	2	(	(	PUNCT
ejpam-3634	437	3	xn	xn	PROPN
ejpam-3634	437	4	)	)	PUNCT
ejpam-3634	437	5	≤	≤	NUM
ejpam-3634	437	6	κt	κt	VERB
ejpam-3634	437	7	∨	∨	NUM
ejpam-3634	437	8	εt	εt	PROPN
ejpam-3634	438	1	=	=	PROPN
ejpam-3634	439	1	∨	∨	PROPN
ejpam-3634	439	2	xn∈x	xn∈x	X
ejpam-3634	439	3	{	{	PUNCT
ejpam-3634	439	4	tn	tn	PROPN
ejpam-3634	439	5	(	(	PUNCT
ejpam-3634	439	6	xn	xn	NOUN
ejpam-3634	439	7	)	)	PUNCT
ejpam-3634	439	8	}	}	PUNCT
ejpam-3634	439	9	∨	∨	NUM
ejpam-3634	439	10	εt	εt	PROPN
ejpam-3634	439	11	,	,	PUNCT
ejpam-3634	439	12	in	in	ADP
ejpam-3634	439	13	(	(	PUNCT
ejpam-3634	439	14	xn	xn	X
ejpam-3634	439	15	)	)	PUNCT
ejpam-3634	439	16	≥	≥	NOUN
ejpam-3634	439	17	κi	κi	VERB
ejpam-3634	439	18	∧	∧	PROPN
ejpam-3634	439	19	εi	εi	VERB
ejpam-3634	439	20	=	=	PUNCT
ejpam-3634	439	21	∧	∧	PROPN
ejpam-3634	439	22	xn∈x	xn∈x	X
ejpam-3634	439	23	{	{	PUNCT
ejpam-3634	439	24	in	in	ADP
ejpam-3634	439	25	(	(	PUNCT
ejpam-3634	439	26	xn	xn	NOUN
ejpam-3634	439	27	)	)	PUNCT
ejpam-3634	439	28	}	}	PUNCT
ejpam-3634	439	29	∧	∧	NOUN
ejpam-3634	439	30	εi	εi	VERB
ejpam-3634	439	31	,	,	PUNCT
ejpam-3634	439	32	fn	fn	ADJ
ejpam-3634	439	33	(	(	PUNCT
ejpam-3634	439	34	xn	xn	NOUN
ejpam-3634	439	35	)	)	PUNCT
ejpam-3634	439	36	≤	≤	NOUN
ejpam-3634	439	37	κf	κf	ADP
ejpam-3634	439	38	∨	∨	NUM
ejpam-3634	439	39	εf	εf	X
ejpam-3634	439	40	=	=	SYM
ejpam-3634	439	41	∨	∨	PROPN
ejpam-3634	439	42	xn∈x	xn∈x	X
ejpam-3634	439	43	{	{	PUNCT
ejpam-3634	439	44	fn	fn	X
ejpam-3634	439	45	(	(	PUNCT
ejpam-3634	439	46	xn	xn	NOUN
ejpam-3634	439	47	)	)	PUNCT
ejpam-3634	439	48	}	}	PUNCT
ejpam-3634	439	49	∨	∨	NUM
ejpam-3634	439	50	εf	εf	NOUN
ejpam-3634	439	51	.	.	PUNCT
ejpam-3634	440	1	it	it	PRON
ejpam-3634	440	2	follows	follow	VERB
ejpam-3634	440	3	that	that	SCONJ
ejpam-3634	440	4	tn	tn	PROPN
ejpam-3634	440	5	(	(	PUNCT
ejpam-3634	440	6	f(xn1	f(xn1	PROPN
ejpam-3634	440	7	)	)	PUNCT
ejpam-3634	440	8	)	)	PUNCT
ejpam-3634	440	9	≤	≤	NUM
ejpam-3634	440	10	∨	∨	NUM
ejpam-3634	440	11	{	{	PUNCT
ejpam-3634	440	12	tn	tn	PROPN
ejpam-3634	440	13	(	(	PUNCT
ejpam-3634	440	14	x1	x1	PROPN
ejpam-3634	440	15	)	)	PUNCT
ejpam-3634	440	16	,	,	PUNCT
ejpam-3634	440	17	.	.	PUNCT
ejpam-3634	440	18	.	.	PUNCT
ejpam-3634	441	1	.	.	PUNCT
ejpam-3634	442	1	,	,	PUNCT
ejpam-3634	442	2	tn	tn	PROPN
ejpam-3634	442	3	(	(	PUNCT
ejpam-3634	442	4	xn	xn	PROPN
ejpam-3634	442	5	)	)	PUNCT
ejpam-3634	442	6	,	,	PUNCT
ejpam-3634	442	7	εt	εt	PROPN
ejpam-3634	442	8	}	}	PUNCT
ejpam-3634	442	9	≤	≤	ADV
ejpam-3634	442	10	∨	∨	NUM
ejpam-3634	442	11	{	{	PUNCT
ejpam-3634	442	12	κt	κt	NOUN
ejpam-3634	442	13	∨	∨	NUM
ejpam-3634	442	14	εt	εt	PROPN
ejpam-3634	442	15	,	,	PUNCT
ejpam-3634	442	16	.	.	PUNCT
ejpam-3634	442	17	.	.	PUNCT
ejpam-3634	443	1	.	.	PUNCT
ejpam-3634	444	1	,	,	PUNCT
ejpam-3634	444	2	κt	κt	VERB
ejpam-3634	444	3	∨	∨	NUM
ejpam-3634	444	4	εt	εt	PROPN
ejpam-3634	444	5	,	,	PUNCT
ejpam-3634	444	6	εt	εt	PROPN
ejpam-3634	444	7	}	}	PUNCT
ejpam-3634	444	8	=	=	PUNCT
ejpam-3634	444	9	κt	κt	NOUN
ejpam-3634	444	10	∨	∨	NUM
ejpam-3634	444	11	εt	εt	INTJ
ejpam-3634	444	12	,	,	PUNCT
ejpam-3634	444	13	in	in	ADP
ejpam-3634	444	14	(	(	PUNCT
ejpam-3634	444	15	f(xn1	f(xn1	PROPN
ejpam-3634	444	16	)	)	PUNCT
ejpam-3634	444	17	)	)	PUNCT
ejpam-3634	444	18	≥	≥	X
ejpam-3634	444	19	∧	∧	NOUN
ejpam-3634	444	20	{	{	PUNCT
ejpam-3634	444	21	in	in	ADP
ejpam-3634	444	22	(	(	PUNCT
ejpam-3634	444	23	x1	x1	PROPN
ejpam-3634	444	24	)	)	PUNCT
ejpam-3634	444	25	,	,	PUNCT
ejpam-3634	444	26	.	.	PUNCT
ejpam-3634	444	27	.	.	PUNCT
ejpam-3634	445	1	.	.	PUNCT
ejpam-3634	446	1	,	,	PUNCT
ejpam-3634	446	2	in	in	ADP
ejpam-3634	446	3	(	(	PUNCT
ejpam-3634	446	4	xn	xn	PROPN
ejpam-3634	446	5	)	)	PUNCT
ejpam-3634	446	6	,	,	PUNCT
ejpam-3634	446	7	εi	εi	VERB
ejpam-3634	446	8	}	}	PUNCT
ejpam-3634	446	9	≥	≥	NOUN
ejpam-3634	446	10	∧	∧	NOUN
ejpam-3634	446	11	{	{	PUNCT
ejpam-3634	446	12	κi	κi	NOUN
ejpam-3634	446	13	∧	∧	PROPN
ejpam-3634	446	14	εi	εi	VERB
ejpam-3634	446	15	,	,	PUNCT
ejpam-3634	446	16	.	.	PUNCT
ejpam-3634	446	17	.	.	PUNCT
ejpam-3634	447	1	.	.	PUNCT
ejpam-3634	448	1	,	,	PUNCT
ejpam-3634	448	2	κi	κi	X
ejpam-3634	448	3	∧	∧	PROPN
ejpam-3634	448	4	εi	εi	VERB
ejpam-3634	448	5	,	,	PUNCT
ejpam-3634	448	6	εi	εi	ADJ
ejpam-3634	448	7	}	}	PUNCT
ejpam-3634	448	8	=	=	SYM
ejpam-3634	448	9	κi	κi	NOUN
ejpam-3634	448	10	∧	∧	PROPN
ejpam-3634	448	11	εi	εi	VERB
ejpam-3634	448	12	,	,	PUNCT
ejpam-3634	448	13	a.	a.	NOUN
ejpam-3634	448	14	rattana	rattana	PROPN
ejpam-3634	448	15	,	,	PUNCT
ejpam-3634	448	16	r.	r.	PROPN
ejpam-3634	448	17	chinram	chinram	PROPN
ejpam-3634	448	18	/	/	SYM
ejpam-3634	448	19	eur	eur	PROPN
ejpam-3634	448	20	.	.	PUNCT
ejpam-3634	449	1	j.	j.	PROPN
ejpam-3634	449	2	pure	pure	PROPN
ejpam-3634	449	3	appl	appl	PROPN
ejpam-3634	449	4	.	.	PROPN
ejpam-3634	449	5	math	math	PROPN
ejpam-3634	449	6	,	,	PUNCT
ejpam-3634	449	7	13	13	NUM
ejpam-3634	449	8	(	(	PUNCT
ejpam-3634	449	9	2	2	NUM
ejpam-3634	449	10	)	)	PUNCT
ejpam-3634	449	11	(	(	PUNCT
ejpam-3634	449	12	2020	2020	NUM
ejpam-3634	449	13	)	)	PUNCT
ejpam-3634	449	14	,	,	PUNCT
ejpam-3634	449	15	200	200	NUM
ejpam-3634	449	16	-	-	SYM
ejpam-3634	449	17	215	215	NUM
ejpam-3634	449	18	211	211	NUM
ejpam-3634	449	19	fn	fn	NOUN
ejpam-3634	449	20	(	(	PUNCT
ejpam-3634	449	21	f(xn1	f(xn1	PROPN
ejpam-3634	449	22	)	)	PUNCT
ejpam-3634	449	23	)	)	PUNCT
ejpam-3634	449	24	≤	≤	NUM
ejpam-3634	449	25	∨	∨	NUM
ejpam-3634	449	26	{	{	PUNCT
ejpam-3634	449	27	fn	fn	PROPN
ejpam-3634	449	28	(	(	PUNCT
ejpam-3634	449	29	x1	x1	PROPN
ejpam-3634	449	30	)	)	PUNCT
ejpam-3634	449	31	,	,	PUNCT
ejpam-3634	449	32	.	.	PUNCT
ejpam-3634	449	33	.	.	PUNCT
ejpam-3634	450	1	.	.	PUNCT
ejpam-3634	451	1	,	,	PUNCT
ejpam-3634	451	2	fn	fn	INTJ
ejpam-3634	451	3	(	(	PUNCT
ejpam-3634	451	4	xn	xn	PROPN
ejpam-3634	451	5	)	)	PUNCT
ejpam-3634	451	6	,	,	PUNCT
ejpam-3634	451	7	εf	εf	X
ejpam-3634	451	8	}	}	PUNCT
ejpam-3634	451	9	≤	≤	PROPN
ejpam-3634	451	10	∨	∨	NUM
ejpam-3634	451	11	{	{	PUNCT
ejpam-3634	451	12	κf	κf	PROPN
ejpam-3634	451	13	∨	∨	NUM
ejpam-3634	451	14	εf	εf	NOUN
ejpam-3634	451	15	,	,	PUNCT
ejpam-3634	451	16	.	.	PUNCT
ejpam-3634	451	17	.	.	PUNCT
ejpam-3634	452	1	.	.	PUNCT
ejpam-3634	453	1	,	,	PUNCT
ejpam-3634	453	2	κf	κf	ADP
ejpam-3634	453	3	∨	∨	NUM
ejpam-3634	453	4	εf	εf	NOUN
ejpam-3634	453	5	,	,	PUNCT
ejpam-3634	453	6	εf	εf	PROPN
ejpam-3634	453	7	}	}	PUNCT
ejpam-3634	453	8	=	=	PUNCT
ejpam-3634	453	9	κf	κf	ADP
ejpam-3634	453	10	∨	∨	NUM
ejpam-3634	453	11	εf	εf	NOUN
ejpam-3634	453	12	,	,	PUNCT
ejpam-3634	453	13	then	then	ADV
ejpam-3634	453	14	f(xn1	f(xn1	PROPN
ejpam-3634	453	15	)	)	PUNCT
ejpam-3634	453	16	∈	∈	PROPN
ejpam-3634	453	17	ω	ω	PROPN
ejpam-3634	453	18	.	.	PUNCT
ejpam-3634	454	1	hence	hence	ADV
ejpam-3634	454	2	ω	ω	PROPN
ejpam-3634	454	3	is	be	AUX
ejpam-3634	454	4	an	an	DET
ejpam-3634	454	5	n	n	CCONJ
ejpam-3634	454	6	-	-	PUNCT
ejpam-3634	454	7	ary	ary	NOUN
ejpam-3634	454	8	subgroupoid	subgroupoid	NOUN
ejpam-3634	454	9	of	of	ADP
ejpam-3634	454	10	x.	x.	NOUN
ejpam-3634	454	11	let	let	VERB
ejpam-3634	454	12	x	x	PRON
ejpam-3634	454	13	and	and	CCONJ
ejpam-3634	454	14	y	y	PROPN
ejpam-3634	454	15	be	be	AUX
ejpam-3634	454	16	sets	set	NOUN
ejpam-3634	454	17	,	,	PUNCT
ejpam-3634	454	18	g	g	NOUN
ejpam-3634	454	19	:	:	PUNCT
ejpam-3634	454	20	x	x	X
ejpam-3634	454	21	→	→	SYM
ejpam-3634	454	22	y	y	X
ejpam-3634	454	23	be	be	AUX
ejpam-3634	454	24	a	a	DET
ejpam-3634	454	25	function	function	NOUN
ejpam-3634	454	26	,	,	PUNCT
ejpam-3634	454	27	yn	yn	X
ejpam-3634	454	28	:	:	PUNCT
ejpam-3634	454	29	=	=	SYM
ejpam-3634	454	30	y	y	PROPN
ejpam-3634	454	31	(	(	PUNCT
ejpam-3634	454	32	tn	tn	PROPN
ejpam-3634	454	33	,	,	PUNCT
ejpam-3634	454	34	in	in	ADP
ejpam-3634	454	35	,	,	PUNCT
ejpam-3634	454	36	fn	fn	INTJ
ejpam-3634	454	37	)	)	PUNCT
ejpam-3634	454	38	be	be	AUX
ejpam-3634	454	39	a	a	DET
ejpam-3634	454	40	neutrosophic	neutrosophic	ADJ
ejpam-3634	454	41	n	n	SYM
ejpam-3634	454	42	-structure	-structure	NOUN
ejpam-3634	454	43	over	over	ADP
ejpam-3634	454	44	y	y	PROPN
ejpam-3634	454	45	with	with	ADP
ejpam-3634	454	46	ε	ε	PROPN
ejpam-3634	454	47	=	=	PUNCT
ejpam-3634	454	48	(	(	PUNCT
ejpam-3634	454	49	εt	εt	INTJ
ejpam-3634	454	50	,	,	PUNCT
ejpam-3634	454	51	εi	εi	INTJ
ejpam-3634	454	52	,	,	PUNCT
ejpam-3634	454	53	εf	εf	PROPN
ejpam-3634	454	54	)	)	PUNCT
ejpam-3634	454	55	.	.	PUNCT
ejpam-3634	455	1	an	an	DET
ejpam-3634	455	2	ε	ε	PROPN
ejpam-3634	455	3	-	-	PUNCT
ejpam-3634	455	4	neutrosophic	neutrosophic	ADJ
ejpam-3634	455	5	n	n	CCONJ
ejpam-3634	455	6	-structure	-structure	NOUN
ejpam-3634	455	7	over	over	ADV
ejpam-3634	455	8	x	x	PUNCT
ejpam-3634	455	9	is	be	AUX
ejpam-3634	455	10	defined	define	VERB
ejpam-3634	455	11	by	by	ADP
ejpam-3634	455	12	xε	xε	NOUN
ejpam-3634	456	1	n	n	PROPN
ejpam-3634	456	2	:	:	PUNCT
ejpam-3634	456	3	=	=	SYM
ejpam-3634	456	4	x	x	X
ejpam-3634	456	5	(	(	PUNCT
ejpam-3634	456	6	t	t	X
ejpam-3634	456	7	εn	εn	ADV
ejpam-3634	456	8	,	,	PUNCT
ejpam-3634	456	9	i	i	PRON
ejpam-3634	456	10	ε	ε	VERB
ejpam-3634	456	11	n	n	PROPN
ejpam-3634	456	12	,	,	PUNCT
ejpam-3634	456	13	f	f	PROPN
ejpam-3634	456	14	ε	ε	PROPN
ejpam-3634	456	15	n	n	PROPN
ejpam-3634	456	16	)	)	PUNCT
ejpam-3634	456	17	where	where	SCONJ
ejpam-3634	456	18	t	t	NOUN
ejpam-3634	456	19	εn	εn	VERB
ejpam-3634	456	20	:	:	PUNCT
ejpam-3634	456	21	x	x	X
ejpam-3634	456	22	→	→	SYM
ejpam-3634	457	1	[	[	X
ejpam-3634	457	2	−1	−1	NOUN
ejpam-3634	457	3	,	,	PUNCT
ejpam-3634	457	4	0	0	NUM
ejpam-3634	457	5	]	]	PUNCT
ejpam-3634	457	6	,	,	PUNCT
ejpam-3634	457	7	x	x	SYM
ejpam-3634	457	8	7→	7→	X
ejpam-3634	457	9	∨{tn	∨{tn	PROPN
ejpam-3634	457	10	(	(	PUNCT
ejpam-3634	457	11	g(x	g(x	NOUN
ejpam-3634	457	12	)	)	PUNCT
ejpam-3634	457	13	)	)	PUNCT
ejpam-3634	457	14	,	,	PUNCT
ejpam-3634	457	15	εt	εt	PROPN
ejpam-3634	457	16	}	}	PUNCT
ejpam-3634	457	17	,	,	PUNCT
ejpam-3634	457	18	iεn	iεn	ADP
ejpam-3634	457	19	:	:	PUNCT
ejpam-3634	457	20	x	x	X
ejpam-3634	457	21	→	→	PUNCT
ejpam-3634	458	1	[	[	X
ejpam-3634	458	2	−1	−1	NOUN
ejpam-3634	458	3	,	,	PUNCT
ejpam-3634	458	4	0	0	NUM
ejpam-3634	458	5	]	]	PUNCT
ejpam-3634	458	6	,	,	PUNCT
ejpam-3634	458	7	x	x	PROPN
ejpam-3634	458	8	7→	7→	NUM
ejpam-3634	458	9	∧{in	∧{in	PROPN
ejpam-3634	458	10	(	(	PUNCT
ejpam-3634	458	11	g(x	g(x	NOUN
ejpam-3634	458	12	)	)	PUNCT
ejpam-3634	458	13	)	)	PUNCT
ejpam-3634	458	14	,	,	PUNCT
ejpam-3634	458	15	εi	εi	VERB
ejpam-3634	458	16	}	}	PUNCT
ejpam-3634	458	17	,	,	PUNCT
ejpam-3634	458	18	f	f	PROPN
ejpam-3634	458	19	εn	εn	ADJ
ejpam-3634	458	20	:	:	PUNCT
ejpam-3634	458	21	x	x	X
ejpam-3634	458	22	→	→	SYM
ejpam-3634	458	23	[	[	X
ejpam-3634	458	24	−1	−1	NOUN
ejpam-3634	458	25	,	,	PUNCT
ejpam-3634	458	26	0	0	NUM
ejpam-3634	458	27	]	]	PUNCT
ejpam-3634	458	28	,	,	PUNCT
ejpam-3634	458	29	x	x	PUNCT
ejpam-3634	458	30	7→	7→	X
ejpam-3634	458	31	∨{fn	∨{fn	PROPN
ejpam-3634	458	32	(	(	PUNCT
ejpam-3634	458	33	g(x	g(x	NOUN
ejpam-3634	458	34	)	)	PUNCT
ejpam-3634	458	35	)	)	PUNCT
ejpam-3634	458	36	,	,	PUNCT
ejpam-3634	458	37	εf	εf	X
ejpam-3634	458	38	}	}	PUNCT
ejpam-3634	458	39	.	.	PUNCT
ejpam-3634	459	1	theorem	theorem	ADJ
ejpam-3634	459	2	10	10	NUM
ejpam-3634	459	3	.	.	PUNCT
ejpam-3634	460	1	let	let	VERB
ejpam-3634	460	2	x	x	PRON
ejpam-3634	460	3	,	,	PUNCT
ejpam-3634	460	4	y	y	PROPN
ejpam-3634	460	5	be	be	VERB
ejpam-3634	460	6	two	two	NUM
ejpam-3634	460	7	n	n	CCONJ
ejpam-3634	460	8	-	-	PUNCT
ejpam-3634	460	9	ary	ary	NOUN
ejpam-3634	460	10	groupoids	groupoid	NOUN
ejpam-3634	460	11	and	and	CCONJ
ejpam-3634	460	12	g	g	NOUN
ejpam-3634	460	13	:	:	PUNCT
ejpam-3634	460	14	x	x	X
ejpam-3634	460	15	→	→	SYM
ejpam-3634	460	16	y	y	X
ejpam-3634	460	17	be	be	AUX
ejpam-3634	460	18	a	a	DET
ejpam-3634	460	19	homomorphism	homomorphism	NOUN
ejpam-3634	460	20	.	.	PUNCT
ejpam-3634	461	1	if	if	SCONJ
ejpam-3634	461	2	a	a	DET
ejpam-3634	461	3	neutrosophic	neutrosophic	ADJ
ejpam-3634	461	4	n	n	PRON
ejpam-3634	461	5	-structure	-structure	NOUN
ejpam-3634	461	6	yn	yn	NOUN
ejpam-3634	461	7	:	:	PUNCT
ejpam-3634	461	8	=	=	SYM
ejpam-3634	461	9	y	y	PROPN
ejpam-3634	461	10	(	(	PUNCT
ejpam-3634	461	11	tn	tn	PROPN
ejpam-3634	461	12	,	,	PUNCT
ejpam-3634	461	13	in	in	ADP
ejpam-3634	461	14	,	,	PUNCT
ejpam-3634	461	15	fn	fn	NOUN
ejpam-3634	461	16	)	)	PUNCT
ejpam-3634	461	17	over	over	ADP
ejpam-3634	461	18	y	y	PROPN
ejpam-3634	461	19	is	be	AUX
ejpam-3634	461	20	an	an	DET
ejpam-3634	461	21	ε	ε	PROPN
ejpam-3634	461	22	-	-	PUNCT
ejpam-3634	461	23	neutrosophic	neutrosophic	ADJ
ejpam-3634	461	24	n	n	CCONJ
ejpam-3634	461	25	-	-	PUNCT
ejpam-3634	461	26	ary	ary	NOUN
ejpam-3634	461	27	n	n	NOUN
ejpam-3634	461	28	subgroupoid	subgroupoid	NOUN
ejpam-3634	461	29	of	of	ADP
ejpam-3634	461	30	y	y	PROPN
ejpam-3634	461	31	,	,	PUNCT
ejpam-3634	461	32	then	then	ADV
ejpam-3634	461	33	xε	xε	PUNCT
ejpam-3634	462	1	n	n	PROPN
ejpam-3634	462	2	:	:	PUNCT
ejpam-3634	462	3	=	=	SYM
ejpam-3634	462	4	x	x	X
ejpam-3634	462	5	(	(	PUNCT
ejpam-3634	462	6	t	t	X
ejpam-3634	462	7	εn	εn	ADV
ejpam-3634	462	8	,	,	PUNCT
ejpam-3634	462	9	i	i	PRON
ejpam-3634	462	10	ε	ε	VERB
ejpam-3634	462	11	n	n	PROPN
ejpam-3634	462	12	,	,	PUNCT
ejpam-3634	462	13	f	f	PROPN
ejpam-3634	462	14	ε	ε	PROPN
ejpam-3634	462	15	n	n	CCONJ
ejpam-3634	462	16	)	)	PUNCT
ejpam-3634	462	17	is	be	AUX
ejpam-3634	462	18	an	an	DET
ejpam-3634	462	19	ε	ε	PROPN
ejpam-3634	462	20	-	-	PUNCT
ejpam-3634	462	21	neutrosophic	neutrosophic	ADJ
ejpam-3634	462	22	n	n	CCONJ
ejpam-3634	462	23	-	-	PUNCT
ejpam-3634	462	24	ary	ary	PROPN
ejpam-3634	462	25	n	n	NUM
ejpam-3634	462	26	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	462	27	of	of	ADP
ejpam-3634	462	28	x.	x.	NOUN
ejpam-3634	462	29	proof	proof	NOUN
ejpam-3634	462	30	.	.	PUNCT
ejpam-3634	463	1	for	for	ADP
ejpam-3634	463	2	any	any	DET
ejpam-3634	463	3	x1	x1	PROPN
ejpam-3634	463	4	,	,	PUNCT
ejpam-3634	463	5	.	.	PUNCT
ejpam-3634	463	6	.	.	PUNCT
ejpam-3634	463	7	.	.	PUNCT
ejpam-3634	464	1	,	,	PUNCT
ejpam-3634	464	2	xn	xn	PUNCT
ejpam-3634	464	3	∈	∈	PROPN
ejpam-3634	464	4	x	x	NOUN
ejpam-3634	464	5	,	,	PUNCT
ejpam-3634	464	6	we	we	PRON
ejpam-3634	464	7	have	have	VERB
ejpam-3634	464	8	t	t	NOUN
ejpam-3634	464	9	εn	εn	ADJ
ejpam-3634	464	10	(	(	PUNCT
ejpam-3634	464	11	f(xn1	f(xn1	PROPN
ejpam-3634	464	12	)	)	PUNCT
ejpam-3634	464	13	)	)	PUNCT
ejpam-3634	465	1	=	=	PUNCT
ejpam-3634	465	2	∨	∨	X
ejpam-3634	465	3	{	{	PUNCT
ejpam-3634	465	4	tn	tn	PROPN
ejpam-3634	465	5	(	(	PUNCT
ejpam-3634	465	6	g(f(xn1	g(f(xn1	PROPN
ejpam-3634	465	7	)	)	PUNCT
ejpam-3634	465	8	)	)	PUNCT
ejpam-3634	465	9	)	)	PUNCT
ejpam-3634	465	10	,	,	PUNCT
ejpam-3634	465	11	εt	εt	PROPN
ejpam-3634	465	12	}	}	PUNCT
ejpam-3634	465	13	=	=	SYM
ejpam-3634	465	14	∨	∨	X
ejpam-3634	465	15	{	{	PUNCT
ejpam-3634	465	16	tn	tn	PROPN
ejpam-3634	465	17	(	(	PUNCT
ejpam-3634	465	18	g(x1	g(x1	NOUN
ejpam-3634	465	19	)	)	PUNCT
ejpam-3634	465	20	.	.	PUNCT
ejpam-3634	465	21	.	.	PUNCT
ejpam-3634	465	22	.	.	PUNCT
ejpam-3634	466	1	g(xn	g(xn	NOUN
ejpam-3634	466	2	)	)	PUNCT
ejpam-3634	466	3	)	)	PUNCT
ejpam-3634	466	4	,	,	PUNCT
ejpam-3634	466	5	εt	εt	PROPN
ejpam-3634	466	6	}	}	PUNCT
ejpam-3634	466	7	≤	≤	ADV
ejpam-3634	466	8	∨	∨	NUM
ejpam-3634	466	9	{	{	PUNCT
ejpam-3634	466	10	∨	∨	PROPN
ejpam-3634	466	11	{	{	PUNCT
ejpam-3634	466	12	tn	tn	PROPN
ejpam-3634	466	13	(	(	PUNCT
ejpam-3634	466	14	g(x1	g(x1	NOUN
ejpam-3634	466	15	)	)	PUNCT
ejpam-3634	466	16	)	)	PUNCT
ejpam-3634	466	17	,	,	PUNCT
ejpam-3634	466	18	.	.	PUNCT
ejpam-3634	466	19	.	.	PUNCT
ejpam-3634	467	1	.	.	PUNCT
ejpam-3634	468	1	,	,	PUNCT
ejpam-3634	468	2	tn	tn	PROPN
ejpam-3634	468	3	(	(	PUNCT
ejpam-3634	468	4	g(xn	g(xn	NOUN
ejpam-3634	468	5	)	)	PUNCT
ejpam-3634	468	6	)	)	PUNCT
ejpam-3634	468	7	,	,	PUNCT
ejpam-3634	468	8	εt	εt	PROPN
ejpam-3634	468	9	}	}	PUNCT
ejpam-3634	468	10	,	,	PUNCT
ejpam-3634	468	11	εt	εt	PROPN
ejpam-3634	468	12	}	}	PUNCT
ejpam-3634	468	13	=	=	PUNCT
ejpam-3634	468	14	∨	∨	X
ejpam-3634	468	15	{	{	PUNCT
ejpam-3634	468	16	∨	∨	PROPN
ejpam-3634	468	17	{	{	PUNCT
ejpam-3634	468	18	tn	tn	PROPN
ejpam-3634	468	19	(	(	PUNCT
ejpam-3634	468	20	g(x1	g(x1	NOUN
ejpam-3634	468	21	)	)	PUNCT
ejpam-3634	468	22	)	)	PUNCT
ejpam-3634	468	23	,	,	PUNCT
ejpam-3634	468	24	εt	εt	PROPN
ejpam-3634	468	25	}	}	PUNCT
ejpam-3634	468	26	,	,	PUNCT
ejpam-3634	468	27	.	.	PUNCT
ejpam-3634	468	28	.	.	PUNCT
ejpam-3634	468	29	.	.	PUNCT
ejpam-3634	469	1	,	,	PUNCT
ejpam-3634	469	2	∨	∨	X
ejpam-3634	469	3	{	{	PUNCT
ejpam-3634	469	4	tn	tn	PROPN
ejpam-3634	469	5	(	(	PUNCT
ejpam-3634	469	6	g(xn	g(xn	NOUN
ejpam-3634	469	7	)	)	PUNCT
ejpam-3634	469	8	)	)	PUNCT
ejpam-3634	469	9	,	,	PUNCT
ejpam-3634	469	10	εt	εt	PROPN
ejpam-3634	469	11	}	}	PUNCT
ejpam-3634	469	12	,	,	PUNCT
ejpam-3634	469	13	εt	εt	PROPN
ejpam-3634	469	14	}	}	PUNCT
ejpam-3634	469	15	=	=	SYM
ejpam-3634	469	16	∨	∨	X
ejpam-3634	469	17	{	{	PUNCT
ejpam-3634	469	18	t	t	PROPN
ejpam-3634	469	19	εn	εn	ADJ
ejpam-3634	469	20	(	(	PUNCT
ejpam-3634	469	21	x1	x1	PROPN
ejpam-3634	469	22	)	)	PUNCT
ejpam-3634	469	23	,	,	PUNCT
ejpam-3634	469	24	.	.	PUNCT
ejpam-3634	469	25	.	.	PUNCT
ejpam-3634	470	1	.	.	PUNCT
ejpam-3634	471	1	,	,	PUNCT
ejpam-3634	471	2	t	t	PROPN
ejpam-3634	471	3	ε	ε	PROPN
ejpam-3634	471	4	n	n	PROPN
ejpam-3634	471	5	(	(	PUNCT
ejpam-3634	471	6	xn	xn	PROPN
ejpam-3634	471	7	)	)	PUNCT
ejpam-3634	471	8	,	,	PUNCT
ejpam-3634	471	9	εt	εt	PROPN
ejpam-3634	471	10	}	}	PUNCT
ejpam-3634	471	11	,	,	PUNCT
ejpam-3634	471	12	iεn	iεn	X
ejpam-3634	471	13	(	(	PUNCT
ejpam-3634	471	14	f(xn1	f(xn1	PROPN
ejpam-3634	471	15	)	)	PUNCT
ejpam-3634	471	16	)	)	PUNCT
ejpam-3634	472	1	=	=	PUNCT
ejpam-3634	472	2	∧	∧	NOUN
ejpam-3634	472	3	{	{	PUNCT
ejpam-3634	472	4	in	in	ADP
ejpam-3634	472	5	(	(	PUNCT
ejpam-3634	472	6	g(f(xn1	g(f(xn1	PROPN
ejpam-3634	472	7	)	)	PUNCT
ejpam-3634	472	8	)	)	PUNCT
ejpam-3634	472	9	)	)	PUNCT
ejpam-3634	472	10	,	,	PUNCT
ejpam-3634	472	11	εi	εi	VERB
ejpam-3634	472	12	}	}	PUNCT
ejpam-3634	472	13	=	=	SYM
ejpam-3634	472	14	∧	∧	NOUN
ejpam-3634	472	15	{	{	PUNCT
ejpam-3634	472	16	in	in	ADP
ejpam-3634	472	17	(	(	PUNCT
ejpam-3634	472	18	g(x1	g(x1	NOUN
ejpam-3634	472	19	)	)	PUNCT
ejpam-3634	472	20	.	.	PUNCT
ejpam-3634	472	21	.	.	PUNCT
ejpam-3634	472	22	.	.	PUNCT
ejpam-3634	473	1	g(xn	g(xn	NOUN
ejpam-3634	473	2	)	)	PUNCT
ejpam-3634	473	3	)	)	PUNCT
ejpam-3634	473	4	,	,	PUNCT
ejpam-3634	473	5	εi	εi	VERB
ejpam-3634	473	6	}	}	PUNCT
ejpam-3634	473	7	≥	≥	NOUN
ejpam-3634	473	8	∧	∧	NOUN
ejpam-3634	473	9	{	{	PUNCT
ejpam-3634	473	10	∧	∧	PROPN
ejpam-3634	473	11	{	{	PUNCT
ejpam-3634	473	12	in	in	ADP
ejpam-3634	473	13	(	(	PUNCT
ejpam-3634	473	14	g(x1	g(x1	NOUN
ejpam-3634	473	15	)	)	PUNCT
ejpam-3634	473	16	)	)	PUNCT
ejpam-3634	473	17	,	,	PUNCT
ejpam-3634	473	18	.	.	PUNCT
ejpam-3634	473	19	.	.	PUNCT
ejpam-3634	474	1	.	.	PUNCT
ejpam-3634	475	1	,	,	PUNCT
ejpam-3634	475	2	in	in	ADP
ejpam-3634	475	3	(	(	PUNCT
ejpam-3634	475	4	g(xn	g(xn	NOUN
ejpam-3634	475	5	)	)	PUNCT
ejpam-3634	475	6	)	)	PUNCT
ejpam-3634	475	7	,	,	PUNCT
ejpam-3634	475	8	εi	εi	VERB
ejpam-3634	475	9	}	}	PUNCT
ejpam-3634	475	10	,	,	PUNCT
ejpam-3634	475	11	εi	εi	VERB
ejpam-3634	475	12	}	}	PUNCT
ejpam-3634	475	13	=	=	SYM
ejpam-3634	475	14	∧	∧	NOUN
ejpam-3634	475	15	{	{	PUNCT
ejpam-3634	475	16	∧	∧	PROPN
ejpam-3634	475	17	{	{	PUNCT
ejpam-3634	475	18	in	in	ADP
ejpam-3634	475	19	(	(	PUNCT
ejpam-3634	475	20	g(x1	g(x1	NOUN
ejpam-3634	475	21	)	)	PUNCT
ejpam-3634	475	22	)	)	PUNCT
ejpam-3634	475	23	,	,	PUNCT
ejpam-3634	475	24	εi	εi	VERB
ejpam-3634	475	25	}	}	PUNCT
ejpam-3634	475	26	,	,	PUNCT
ejpam-3634	475	27	.	.	PUNCT
ejpam-3634	475	28	.	.	PUNCT
ejpam-3634	476	1	.	.	PUNCT
ejpam-3634	477	1	,	,	PUNCT
ejpam-3634	477	2	∧	∧	NOUN
ejpam-3634	477	3	{	{	PUNCT
ejpam-3634	477	4	in	in	ADP
ejpam-3634	477	5	(	(	PUNCT
ejpam-3634	477	6	g(xn	g(xn	NOUN
ejpam-3634	477	7	)	)	PUNCT
ejpam-3634	477	8	)	)	PUNCT
ejpam-3634	477	9	,	,	PUNCT
ejpam-3634	477	10	εi	εi	VERB
ejpam-3634	477	11	}	}	PUNCT
ejpam-3634	477	12	,	,	PUNCT
ejpam-3634	477	13	εi	εi	VERB
ejpam-3634	477	14	}	}	PUNCT
ejpam-3634	477	15	=	=	SYM
ejpam-3634	477	16	∧	∧	PROPN
ejpam-3634	477	17	{	{	PUNCT
ejpam-3634	477	18	iεn	iεn	NOUN
ejpam-3634	477	19	(	(	PUNCT
ejpam-3634	477	20	x1	x1	PROPN
ejpam-3634	477	21	)	)	PUNCT
ejpam-3634	477	22	,	,	PUNCT
ejpam-3634	477	23	.	.	PUNCT
ejpam-3634	477	24	.	.	PUNCT
ejpam-3634	478	1	.	.	PUNCT
ejpam-3634	479	1	,	,	PUNCT
ejpam-3634	479	2	i	i	PRON
ejpam-3634	479	3	ε	ε	VERB
ejpam-3634	479	4	n	n	PROPN
ejpam-3634	479	5	(	(	PUNCT
ejpam-3634	479	6	xn	xn	PROPN
ejpam-3634	479	7	)	)	PUNCT
ejpam-3634	479	8	,	,	PUNCT
ejpam-3634	479	9	εi	εi	VERB
ejpam-3634	479	10	}	}	PUNCT
ejpam-3634	479	11	,	,	PUNCT
ejpam-3634	479	12	f	f	PROPN
ejpam-3634	479	13	εn	εn	ADJ
ejpam-3634	479	14	(	(	PUNCT
ejpam-3634	479	15	f(xn1	f(xn1	PROPN
ejpam-3634	479	16	)	)	PUNCT
ejpam-3634	479	17	)	)	PUNCT
ejpam-3634	480	1	=	=	PUNCT
ejpam-3634	480	2	∨	∨	X
ejpam-3634	480	3	{	{	PUNCT
ejpam-3634	480	4	fn	fn	PROPN
ejpam-3634	480	5	(	(	PUNCT
ejpam-3634	480	6	g(f(xn1	g(f(xn1	PROPN
ejpam-3634	480	7	)	)	PUNCT
ejpam-3634	480	8	)	)	PUNCT
ejpam-3634	480	9	)	)	PUNCT
ejpam-3634	480	10	,	,	PUNCT
ejpam-3634	480	11	εf	εf	X
ejpam-3634	480	12	}	}	PUNCT
ejpam-3634	480	13	=	=	SYM
ejpam-3634	480	14	∨	∨	X
ejpam-3634	480	15	{	{	PUNCT
ejpam-3634	480	16	fn	fn	PROPN
ejpam-3634	480	17	(	(	PUNCT
ejpam-3634	480	18	g(x1	g(x1	NOUN
ejpam-3634	480	19	)	)	PUNCT
ejpam-3634	480	20	.	.	PUNCT
ejpam-3634	480	21	.	.	PUNCT
ejpam-3634	480	22	.	.	PUNCT
ejpam-3634	481	1	g(xn	g(xn	NOUN
ejpam-3634	481	2	)	)	PUNCT
ejpam-3634	481	3	)	)	PUNCT
ejpam-3634	482	1	,	,	PUNCT
ejpam-3634	482	2	εf	εf	X
ejpam-3634	482	3	}	}	PUNCT
ejpam-3634	482	4	a.	a.	NOUN
ejpam-3634	482	5	rattana	rattana	PROPN
ejpam-3634	482	6	,	,	PUNCT
ejpam-3634	482	7	r.	r.	PROPN
ejpam-3634	482	8	chinram	chinram	PROPN
ejpam-3634	482	9	/	/	SYM
ejpam-3634	482	10	eur	eur	PROPN
ejpam-3634	482	11	.	.	PUNCT
ejpam-3634	483	1	j.	j.	PROPN
ejpam-3634	483	2	pure	pure	PROPN
ejpam-3634	483	3	appl	appl	PROPN
ejpam-3634	483	4	.	.	PROPN
ejpam-3634	483	5	math	math	PROPN
ejpam-3634	483	6	,	,	PUNCT
ejpam-3634	483	7	13	13	NUM
ejpam-3634	483	8	(	(	PUNCT
ejpam-3634	483	9	2	2	NUM
ejpam-3634	483	10	)	)	PUNCT
ejpam-3634	483	11	(	(	PUNCT
ejpam-3634	483	12	2020	2020	NUM
ejpam-3634	483	13	)	)	PUNCT
ejpam-3634	483	14	,	,	PUNCT
ejpam-3634	483	15	200	200	NUM
ejpam-3634	483	16	-	-	SYM
ejpam-3634	483	17	215	215	NUM
ejpam-3634	483	18	212	212	NUM
ejpam-3634	483	19	≤	≤	NUM
ejpam-3634	483	20	∨	∨	NUM
ejpam-3634	483	21	{	{	PUNCT
ejpam-3634	483	22	∨	∨	X
ejpam-3634	483	23	{	{	PUNCT
ejpam-3634	483	24	fn	fn	PROPN
ejpam-3634	483	25	(	(	PUNCT
ejpam-3634	483	26	g(x1	g(x1	NOUN
ejpam-3634	483	27	)	)	PUNCT
ejpam-3634	483	28	)	)	PUNCT
ejpam-3634	483	29	,	,	PUNCT
ejpam-3634	483	30	.	.	PUNCT
ejpam-3634	483	31	.	.	PUNCT
ejpam-3634	483	32	.	.	PUNCT
ejpam-3634	484	1	,	,	PUNCT
ejpam-3634	484	2	fn	fn	INTJ
ejpam-3634	484	3	(	(	PUNCT
ejpam-3634	484	4	g(xn	g(xn	NOUN
ejpam-3634	484	5	)	)	PUNCT
ejpam-3634	484	6	)	)	PUNCT
ejpam-3634	484	7	,	,	PUNCT
ejpam-3634	484	8	εf	εf	X
ejpam-3634	484	9	}	}	PUNCT
ejpam-3634	484	10	,	,	PUNCT
ejpam-3634	484	11	εf	εf	X
ejpam-3634	484	12	}	}	PUNCT
ejpam-3634	484	13	=	=	SYM
ejpam-3634	484	14	∨	∨	X
ejpam-3634	484	15	{	{	PUNCT
ejpam-3634	484	16	∨	∨	NOUN
ejpam-3634	484	17	{	{	PUNCT
ejpam-3634	484	18	fn	fn	PROPN
ejpam-3634	484	19	(	(	PUNCT
ejpam-3634	484	20	g(x1	g(x1	NOUN
ejpam-3634	484	21	)	)	PUNCT
ejpam-3634	484	22	)	)	PUNCT
ejpam-3634	484	23	,	,	PUNCT
ejpam-3634	484	24	εf	εf	X
ejpam-3634	484	25	}	}	PUNCT
ejpam-3634	484	26	,	,	PUNCT
ejpam-3634	484	27	.	.	PUNCT
ejpam-3634	484	28	.	.	PUNCT
ejpam-3634	485	1	.	.	PUNCT
ejpam-3634	486	1	,	,	PUNCT
ejpam-3634	486	2	∨	∨	X
ejpam-3634	486	3	{	{	PUNCT
ejpam-3634	486	4	fn	fn	NOUN
ejpam-3634	486	5	(	(	PUNCT
ejpam-3634	486	6	g(xn	g(xn	NOUN
ejpam-3634	486	7	)	)	PUNCT
ejpam-3634	486	8	)	)	PUNCT
ejpam-3634	486	9	,	,	PUNCT
ejpam-3634	486	10	εf	εf	X
ejpam-3634	486	11	}	}	PUNCT
ejpam-3634	486	12	,	,	PUNCT
ejpam-3634	486	13	εf	εf	X
ejpam-3634	486	14	}	}	PUNCT
ejpam-3634	486	15	=	=	SYM
ejpam-3634	486	16	∨	∨	X
ejpam-3634	486	17	{	{	PUNCT
ejpam-3634	486	18	f	f	X
ejpam-3634	486	19	εn	εn	ADJ
ejpam-3634	486	20	(	(	PUNCT
ejpam-3634	486	21	x1	x1	PROPN
ejpam-3634	486	22	)	)	PUNCT
ejpam-3634	486	23	,	,	PUNCT
ejpam-3634	486	24	.	.	PUNCT
ejpam-3634	486	25	.	.	PUNCT
ejpam-3634	487	1	.	.	PUNCT
ejpam-3634	488	1	,	,	PUNCT
ejpam-3634	488	2	f	f	PROPN
ejpam-3634	488	3	ε	ε	PROPN
ejpam-3634	488	4	n	n	PROPN
ejpam-3634	488	5	(	(	PUNCT
ejpam-3634	488	6	xn	xn	PROPN
ejpam-3634	488	7	)	)	PUNCT
ejpam-3634	488	8	,	,	PUNCT
ejpam-3634	488	9	εf	εf	X
ejpam-3634	488	10	}	}	PUNCT
ejpam-3634	488	11	.	.	PUNCT
ejpam-3634	489	1	therefore	therefore	ADV
ejpam-3634	489	2	xε	xε	PUNCT
ejpam-3634	490	1	n	n	PROPN
ejpam-3634	490	2	:	:	PUNCT
ejpam-3634	490	3	=	=	SYM
ejpam-3634	490	4	x	x	X
ejpam-3634	490	5	(	(	PUNCT
ejpam-3634	490	6	t	t	X
ejpam-3634	490	7	εn	εn	ADV
ejpam-3634	490	8	,	,	PUNCT
ejpam-3634	490	9	i	i	PRON
ejpam-3634	490	10	ε	ε	VERB
ejpam-3634	490	11	n	n	PROPN
ejpam-3634	490	12	,	,	PUNCT
ejpam-3634	490	13	f	f	PROPN
ejpam-3634	490	14	ε	ε	PROPN
ejpam-3634	490	15	n	n	CCONJ
ejpam-3634	490	16	)	)	PUNCT
ejpam-3634	490	17	is	be	AUX
ejpam-3634	490	18	an	an	DET
ejpam-3634	490	19	ε	ε	PROPN
ejpam-3634	490	20	-	-	PUNCT
ejpam-3634	490	21	neutrosophic	neutrosophic	ADJ
ejpam-3634	490	22	n	n	CCONJ
ejpam-3634	490	23	-	-	PUNCT
ejpam-3634	490	24	ary	ary	PROPN
ejpam-3634	490	25	n	n	NUM
ejpam-3634	490	26	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	490	27	of	of	ADP
ejpam-3634	490	28	x.	x.	NOUN
ejpam-3634	490	29	let	let	VERB
ejpam-3634	490	30	x	x	PRON
ejpam-3634	490	31	,	,	PUNCT
ejpam-3634	490	32	y	y	PROPN
ejpam-3634	490	33	be	be	VERB
ejpam-3634	490	34	two	two	NUM
ejpam-3634	490	35	sets	set	NOUN
ejpam-3634	490	36	and	and	CCONJ
ejpam-3634	490	37	g	g	NOUN
ejpam-3634	490	38	:	:	PUNCT
ejpam-3634	490	39	x	x	X
ejpam-3634	490	40	→	→	SYM
ejpam-3634	490	41	y	y	X
ejpam-3634	490	42	be	be	AUX
ejpam-3634	490	43	a	a	DET
ejpam-3634	490	44	function	function	NOUN
ejpam-3634	490	45	.	.	PUNCT
ejpam-3634	491	1	if	if	SCONJ
ejpam-3634	491	2	ym	ym	PRON
ejpam-3634	491	3	:	:	PUNCT
ejpam-3634	491	4	=	=	SYM
ejpam-3634	491	5	y	y	PROPN
ejpam-3634	491	6	(	(	PUNCT
ejpam-3634	491	7	tm	tm	PROPN
ejpam-3634	491	8	,	,	PUNCT
ejpam-3634	491	9	i	i	PRON
ejpam-3634	491	10	m	m	VERB
ejpam-3634	491	11	,	,	PUNCT
ejpam-3634	491	12	fm	fm	PROPN
ejpam-3634	491	13	)	)	PUNCT
ejpam-3634	491	14	is	be	AUX
ejpam-3634	491	15	a	a	DET
ejpam-3634	491	16	neutrosophic	neutrosophic	ADJ
ejpam-3634	491	17	n	n	PRON
ejpam-3634	491	18	-structure	-structure	NOUN
ejpam-3634	491	19	over	over	ADP
ejpam-3634	491	20	y	y	PROPN
ejpam-3634	491	21	,	,	PUNCT
ejpam-3634	491	22	then	then	ADV
ejpam-3634	491	23	the	the	DET
ejpam-3634	491	24	preimage	preimage	NOUN
ejpam-3634	491	25	of	of	ADP
ejpam-3634	491	26	ym	ym	PRON
ejpam-3634	491	27	under	under	ADP
ejpam-3634	491	28	g	g	PROPN
ejpam-3634	491	29	is	be	AUX
ejpam-3634	491	30	a	a	DET
ejpam-3634	491	31	neutrosophic	neutrosophic	ADJ
ejpam-3634	491	32	n	n	CCONJ
ejpam-3634	491	33	-structure	-structure	NOUN
ejpam-3634	491	34	over	over	ADV
ejpam-3634	491	35	x	x	PUNCT
ejpam-3634	491	36	defined	define	VERB
ejpam-3634	491	37	by	by	ADP
ejpam-3634	491	38	g−1(ym	g−1(ym	PROPN
ejpam-3634	491	39	)	)	PUNCT
ejpam-3634	491	40	:	:	PUNCT
ejpam-3634	492	1	=	=	SYM
ejpam-3634	492	2	x	x	X
ejpam-3634	492	3	(	(	PUNCT
ejpam-3634	492	4	g−1(tm	g−1(tm	PROPN
ejpam-3634	492	5	)	)	PUNCT
ejpam-3634	492	6	,	,	PUNCT
ejpam-3634	492	7	g−1(im	g−1(im	PROPN
ejpam-3634	492	8	)	)	PUNCT
ejpam-3634	492	9	,	,	PUNCT
ejpam-3634	492	10	g−1(fm	g−1(fm	PROPN
ejpam-3634	492	11	)	)	PUNCT
ejpam-3634	492	12	)	)	PUNCT
ejpam-3634	492	13	where	where	SCONJ
ejpam-3634	492	14	g−1(tm	g−1(tm	NOUN
ejpam-3634	492	15	)	)	PUNCT
ejpam-3634	492	16	(	(	PUNCT
ejpam-3634	492	17	x	x	X
ejpam-3634	492	18	)	)	PUNCT
ejpam-3634	492	19	=	=	NOUN
ejpam-3634	492	20	tm	tm	NOUN
ejpam-3634	492	21	(	(	PUNCT
ejpam-3634	492	22	g(x	g(x	NOUN
ejpam-3634	492	23	)	)	PUNCT
ejpam-3634	492	24	)	)	PUNCT
ejpam-3634	492	25	,	,	PUNCT
ejpam-3634	492	26	g−1(im	g−1(im	PROPN
ejpam-3634	492	27	)	)	PUNCT
ejpam-3634	492	28	(	(	PUNCT
ejpam-3634	492	29	x	x	X
ejpam-3634	492	30	)	)	PUNCT
ejpam-3634	492	31	=	=	VERB
ejpam-3634	493	1	i	i	PRON
ejpam-3634	493	2	m	m	VERB
ejpam-3634	493	3	(	(	PUNCT
ejpam-3634	493	4	g(x	g(x	NOUN
ejpam-3634	493	5	)	)	PUNCT
ejpam-3634	493	6	)	)	PUNCT
ejpam-3634	493	7	,	,	PUNCT
ejpam-3634	493	8	and	and	CCONJ
ejpam-3634	493	9	g−1(fm	g−1(fm	PROPN
ejpam-3634	493	10	)	)	PUNCT
ejpam-3634	493	11	(	(	PUNCT
ejpam-3634	493	12	x	x	X
ejpam-3634	493	13	)	)	PUNCT
ejpam-3634	493	14	=	=	SYM
ejpam-3634	493	15	fm	fm	X
ejpam-3634	493	16	(	(	PUNCT
ejpam-3634	493	17	g(x	g(x	NOUN
ejpam-3634	493	18	)	)	PUNCT
ejpam-3634	493	19	)	)	PUNCT
ejpam-3634	493	20	for	for	ADP
ejpam-3634	493	21	all	all	PRON
ejpam-3634	493	22	x	x	SYM
ejpam-3634	493	23	∈	∈	PROPN
ejpam-3634	493	24	x.	x.	NOUN
ejpam-3634	493	25	theorem	theorem	VERB
ejpam-3634	493	26	11	11	NUM
ejpam-3634	493	27	.	.	PUNCT
ejpam-3634	494	1	let	let	VERB
ejpam-3634	494	2	x	x	PRON
ejpam-3634	494	3	,	,	PUNCT
ejpam-3634	494	4	y	y	PROPN
ejpam-3634	494	5	be	be	VERB
ejpam-3634	494	6	two	two	NUM
ejpam-3634	494	7	n	n	CCONJ
ejpam-3634	494	8	-	-	PUNCT
ejpam-3634	494	9	ary	ary	NOUN
ejpam-3634	494	10	groupoids	groupoid	NOUN
ejpam-3634	494	11	and	and	CCONJ
ejpam-3634	494	12	g	g	NOUN
ejpam-3634	494	13	:	:	PUNCT
ejpam-3634	494	14	x	x	X
ejpam-3634	494	15	→	→	SYM
ejpam-3634	494	16	y	y	X
ejpam-3634	494	17	be	be	AUX
ejpam-3634	494	18	a	a	DET
ejpam-3634	494	19	homomorphism	homomorphism	NOUN
ejpam-3634	494	20	.	.	PUNCT
ejpam-3634	495	1	if	if	SCONJ
ejpam-3634	495	2	ym	ym	PRON
ejpam-3634	495	3	:	:	PUNCT
ejpam-3634	495	4	=	=	SYM
ejpam-3634	495	5	y	y	PROPN
ejpam-3634	495	6	(	(	PUNCT
ejpam-3634	495	7	tm	tm	PROPN
ejpam-3634	495	8	,	,	PUNCT
ejpam-3634	495	9	i	i	PRON
ejpam-3634	495	10	m	m	VERB
ejpam-3634	495	11	,	,	PUNCT
ejpam-3634	495	12	fm	fm	PROPN
ejpam-3634	495	13	)	)	PUNCT
ejpam-3634	495	14	is	be	AUX
ejpam-3634	495	15	a	a	DET
ejpam-3634	495	16	neutrosophic	neutrosophic	ADJ
ejpam-3634	495	17	n	n	CCONJ
ejpam-3634	495	18	-	-	PUNCT
ejpam-3634	495	19	ary	ary	PROPN
ejpam-3634	495	20	n	n	NUM
ejpam-3634	495	21	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	495	22	of	of	ADP
ejpam-3634	495	23	y	y	PROPN
ejpam-3634	495	24	,	,	PUNCT
ejpam-3634	495	25	then	then	ADV
ejpam-3634	495	26	the	the	DET
ejpam-3634	495	27	preimage	preimage	NOUN
ejpam-3634	495	28	of	of	ADP
ejpam-3634	495	29	ym	ym	PRON
ejpam-3634	495	30	under	under	ADP
ejpam-3634	495	31	g	g	NOUN
ejpam-3634	495	32	,	,	PUNCT
ejpam-3634	495	33	g−1(ym	g−1(ym	PROPN
ejpam-3634	495	34	)	)	PUNCT
ejpam-3634	495	35	=	=	PUNCT
ejpam-3634	496	1	x	x	X
ejpam-3634	496	2	(	(	PUNCT
ejpam-3634	496	3	g−1(tm	g−1(tm	PROPN
ejpam-3634	496	4	)	)	PUNCT
ejpam-3634	496	5	,	,	PUNCT
ejpam-3634	496	6	g−1(im	g−1(im	PROPN
ejpam-3634	496	7	)	)	PUNCT
ejpam-3634	496	8	,	,	PUNCT
ejpam-3634	496	9	g−1(fm	g−1(fm	PROPN
ejpam-3634	496	10	)	)	PUNCT
ejpam-3634	496	11	)	)	PUNCT
ejpam-3634	496	12	,	,	PUNCT
ejpam-3634	496	13	is	be	AUX
ejpam-3634	496	14	a	a	DET
ejpam-3634	496	15	neutrosophic	neutrosophic	ADJ
ejpam-3634	496	16	n	n	CCONJ
ejpam-3634	496	17	-	-	PUNCT
ejpam-3634	496	18	ary	ary	PROPN
ejpam-3634	496	19	n	n	NUM
ejpam-3634	496	20	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	496	21	of	of	ADP
ejpam-3634	496	22	x.	x.	NOUN
ejpam-3634	496	23	proof	proof	NOUN
ejpam-3634	496	24	.	.	PUNCT
ejpam-3634	497	1	for	for	ADP
ejpam-3634	497	2	any	any	DET
ejpam-3634	497	3	x1	x1	PROPN
ejpam-3634	497	4	,	,	PUNCT
ejpam-3634	497	5	.	.	PUNCT
ejpam-3634	497	6	.	.	PUNCT
ejpam-3634	497	7	.	.	PUNCT
ejpam-3634	498	1	,	,	PUNCT
ejpam-3634	498	2	xn	xn	PUNCT
ejpam-3634	498	3	∈	∈	PROPN
ejpam-3634	498	4	x	x	NOUN
ejpam-3634	498	5	,	,	PUNCT
ejpam-3634	498	6	we	we	PRON
ejpam-3634	498	7	have	have	VERB
ejpam-3634	498	8	g−1(tm	g−1(tm	NOUN
ejpam-3634	498	9	)	)	PUNCT
ejpam-3634	498	10	(	(	PUNCT
ejpam-3634	498	11	f(xn1	f(xn1	PROPN
ejpam-3634	498	12	)	)	PUNCT
ejpam-3634	498	13	)	)	PUNCT
ejpam-3634	499	1	=	=	SYM
ejpam-3634	499	2	tm	tm	PROPN
ejpam-3634	499	3	(	(	PUNCT
ejpam-3634	499	4	g(f(xn1	g(f(xn1	PROPN
ejpam-3634	499	5	)	)	PUNCT
ejpam-3634	499	6	)	)	PUNCT
ejpam-3634	499	7	)	)	PUNCT
ejpam-3634	500	1	=	=	SYM
ejpam-3634	500	2	tm	tm	PROPN
ejpam-3634	500	3	(	(	PUNCT
ejpam-3634	500	4	g(x1	g(x1	NOUN
ejpam-3634	500	5	)	)	PUNCT
ejpam-3634	500	6	.	.	PUNCT
ejpam-3634	500	7	.	.	PUNCT
ejpam-3634	500	8	.	.	PUNCT
ejpam-3634	501	1	g(xn	g(xn	NOUN
ejpam-3634	501	2	)	)	PUNCT
ejpam-3634	501	3	)	)	PUNCT
ejpam-3634	501	4	≤	≤	NUM
ejpam-3634	501	5	∨	∨	NUM
ejpam-3634	501	6	{	{	PUNCT
ejpam-3634	501	7	tm	tm	PROPN
ejpam-3634	501	8	(	(	PUNCT
ejpam-3634	501	9	g(x1	g(x1	NOUN
ejpam-3634	501	10	)	)	PUNCT
ejpam-3634	501	11	)	)	PUNCT
ejpam-3634	501	12	,	,	PUNCT
ejpam-3634	501	13	.	.	PUNCT
ejpam-3634	501	14	.	.	PUNCT
ejpam-3634	501	15	.	.	PUNCT
ejpam-3634	502	1	,	,	PUNCT
ejpam-3634	502	2	tm	tm	PROPN
ejpam-3634	502	3	(	(	PUNCT
ejpam-3634	502	4	g(xn	g(xn	NOUN
ejpam-3634	502	5	)	)	PUNCT
ejpam-3634	502	6	)	)	PUNCT
ejpam-3634	502	7	}	}	PUNCT
ejpam-3634	502	8	=	=	SYM
ejpam-3634	502	9	∨	∨	X
ejpam-3634	502	10	{	{	PUNCT
ejpam-3634	502	11	g−1(tm	g−1(tm	PROPN
ejpam-3634	502	12	)	)	PUNCT
ejpam-3634	502	13	(	(	PUNCT
ejpam-3634	502	14	x1	x1	PROPN
ejpam-3634	502	15	)	)	PUNCT
ejpam-3634	502	16	,	,	PUNCT
ejpam-3634	502	17	.	.	PUNCT
ejpam-3634	502	18	.	.	PUNCT
ejpam-3634	503	1	.	.	PUNCT
ejpam-3634	504	1	,	,	PUNCT
ejpam-3634	504	2	g	g	NOUN
ejpam-3634	504	3	−1(tm	−1(tm	NOUN
ejpam-3634	504	4	)	)	PUNCT
ejpam-3634	504	5	(	(	PUNCT
ejpam-3634	504	6	xn	xn	X
ejpam-3634	504	7	)	)	PUNCT
ejpam-3634	504	8	}	}	PUNCT
ejpam-3634	504	9	,	,	PUNCT
ejpam-3634	504	10	g−1(im	g−1(im	PROPN
ejpam-3634	504	11	)	)	PUNCT
ejpam-3634	504	12	(	(	PUNCT
ejpam-3634	504	13	f(xn1	f(xn1	PROPN
ejpam-3634	504	14	)	)	PUNCT
ejpam-3634	504	15	)	)	PUNCT
ejpam-3634	505	1	=	=	PUNCT
ejpam-3634	505	2	i	i	PRON
ejpam-3634	505	3	m	m	VERB
ejpam-3634	505	4	(	(	PUNCT
ejpam-3634	505	5	g(f(xn1	g(f(xn1	PROPN
ejpam-3634	505	6	)	)	PUNCT
ejpam-3634	505	7	)	)	PUNCT
ejpam-3634	505	8	)	)	PUNCT
ejpam-3634	506	1	=	=	PUNCT
ejpam-3634	506	2	i	i	PRON
ejpam-3634	506	3	m	m	VERB
ejpam-3634	506	4	(	(	PUNCT
ejpam-3634	506	5	g(x1	g(x1	NOUN
ejpam-3634	506	6	)	)	PUNCT
ejpam-3634	506	7	.	.	PUNCT
ejpam-3634	506	8	.	.	PUNCT
ejpam-3634	506	9	.	.	PUNCT
ejpam-3634	507	1	g(xn	g(xn	NOUN
ejpam-3634	507	2	)	)	PUNCT
ejpam-3634	507	3	)	)	PUNCT
ejpam-3634	507	4	≥	≥	X
ejpam-3634	508	1	∧	∧	NOUN
ejpam-3634	508	2	{	{	PUNCT
ejpam-3634	508	3	i	i	NOUN
ejpam-3634	508	4	m	m	VERB
ejpam-3634	508	5	(	(	PUNCT
ejpam-3634	508	6	g(x1	g(x1	NOUN
ejpam-3634	508	7	)	)	PUNCT
ejpam-3634	508	8	)	)	PUNCT
ejpam-3634	508	9	,	,	PUNCT
ejpam-3634	508	10	.	.	PUNCT
ejpam-3634	508	11	.	.	PUNCT
ejpam-3634	508	12	.	.	PUNCT
ejpam-3634	509	1	,	,	PUNCT
ejpam-3634	509	2	i	i	PRON
ejpam-3634	509	3	m	m	VERB
ejpam-3634	509	4	(	(	PUNCT
ejpam-3634	509	5	g(xn	g(xn	NOUN
ejpam-3634	509	6	)	)	PUNCT
ejpam-3634	509	7	)	)	PUNCT
ejpam-3634	509	8	}	}	PUNCT
ejpam-3634	509	9	=	=	PUNCT
ejpam-3634	509	10	∧	∧	PROPN
ejpam-3634	509	11	{	{	PUNCT
ejpam-3634	509	12	g−1(im	g−1(im	NOUN
ejpam-3634	509	13	)	)	PUNCT
ejpam-3634	509	14	(	(	PUNCT
ejpam-3634	509	15	x1	x1	PROPN
ejpam-3634	509	16	)	)	PUNCT
ejpam-3634	509	17	,	,	PUNCT
ejpam-3634	509	18	.	.	PUNCT
ejpam-3634	509	19	.	.	PUNCT
ejpam-3634	510	1	.	.	PUNCT
ejpam-3634	511	1	,	,	PUNCT
ejpam-3634	511	2	g	g	PROPN
ejpam-3634	511	3	−1(im	−1(im	PROPN
ejpam-3634	511	4	)	)	PUNCT
ejpam-3634	511	5	(	(	PUNCT
ejpam-3634	511	6	xn	xn	X
ejpam-3634	511	7	)	)	PUNCT
ejpam-3634	511	8	}	}	PUNCT
ejpam-3634	511	9	,	,	PUNCT
ejpam-3634	511	10	g−1(fm	g−1(fm	PROPN
ejpam-3634	511	11	)	)	PUNCT
ejpam-3634	511	12	(	(	PUNCT
ejpam-3634	511	13	f(xn1	f(xn1	PROPN
ejpam-3634	511	14	)	)	PUNCT
ejpam-3634	511	15	)	)	PUNCT
ejpam-3634	512	1	=	=	SYM
ejpam-3634	512	2	fm	fm	X
ejpam-3634	512	3	(	(	PUNCT
ejpam-3634	512	4	g(f(xn1	g(f(xn1	PROPN
ejpam-3634	512	5	)	)	PUNCT
ejpam-3634	512	6	)	)	PUNCT
ejpam-3634	512	7	)	)	PUNCT
ejpam-3634	513	1	=	=	SYM
ejpam-3634	513	2	fm	fm	PROPN
ejpam-3634	513	3	(	(	PUNCT
ejpam-3634	513	4	g(x1	g(x1	NOUN
ejpam-3634	513	5	)	)	PUNCT
ejpam-3634	513	6	.	.	PUNCT
ejpam-3634	513	7	.	.	PUNCT
ejpam-3634	513	8	.	.	PUNCT
ejpam-3634	514	1	g(xn	g(xn	NOUN
ejpam-3634	514	2	)	)	PUNCT
ejpam-3634	514	3	)	)	PUNCT
ejpam-3634	514	4	≤	≤	NUM
ejpam-3634	514	5	∨	∨	NUM
ejpam-3634	514	6	{	{	PUNCT
ejpam-3634	514	7	fm	fm	PROPN
ejpam-3634	514	8	(	(	PUNCT
ejpam-3634	514	9	g(x1	g(x1	NOUN
ejpam-3634	514	10	)	)	PUNCT
ejpam-3634	514	11	)	)	PUNCT
ejpam-3634	514	12	,	,	PUNCT
ejpam-3634	514	13	.	.	PUNCT
ejpam-3634	514	14	.	.	PUNCT
ejpam-3634	514	15	.	.	PUNCT
ejpam-3634	515	1	,	,	PUNCT
ejpam-3634	515	2	fm	fm	PROPN
ejpam-3634	515	3	(	(	PUNCT
ejpam-3634	515	4	g(xn	g(xn	NOUN
ejpam-3634	515	5	)	)	PUNCT
ejpam-3634	515	6	)	)	PUNCT
ejpam-3634	515	7	}	}	PUNCT
ejpam-3634	515	8	=	=	SYM
ejpam-3634	515	9	∨	∨	X
ejpam-3634	515	10	{	{	PUNCT
ejpam-3634	515	11	g−1(fm	g−1(fm	PROPN
ejpam-3634	515	12	)	)	PUNCT
ejpam-3634	515	13	(	(	PUNCT
ejpam-3634	515	14	x1	x1	PROPN
ejpam-3634	515	15	)	)	PUNCT
ejpam-3634	515	16	,	,	PUNCT
ejpam-3634	515	17	.	.	PUNCT
ejpam-3634	515	18	.	.	PUNCT
ejpam-3634	516	1	.	.	PUNCT
ejpam-3634	517	1	,	,	PUNCT
ejpam-3634	517	2	g	g	NOUN
ejpam-3634	517	3	−1(fm	−1(fm	NOUN
ejpam-3634	517	4	)	)	PUNCT
ejpam-3634	517	5	(	(	PUNCT
ejpam-3634	517	6	xn	xn	X
ejpam-3634	517	7	)	)	PUNCT
ejpam-3634	517	8	}	}	PUNCT
ejpam-3634	517	9	.	.	PUNCT
ejpam-3634	518	1	therefore	therefore	ADV
ejpam-3634	518	2	g−1(ym	g−1(ym	PROPN
ejpam-3634	518	3	)	)	PUNCT
ejpam-3634	518	4	is	be	AUX
ejpam-3634	518	5	a	a	DET
ejpam-3634	518	6	neutrosophic	neutrosophic	ADJ
ejpam-3634	518	7	n	n	CCONJ
ejpam-3634	518	8	-	-	PUNCT
ejpam-3634	518	9	ary	ary	PROPN
ejpam-3634	518	10	n	n	NUM
ejpam-3634	518	11	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	518	12	of	of	ADP
ejpam-3634	518	13	x.	x.	PROPN
ejpam-3634	518	14	a.	a.	PROPN
ejpam-3634	518	15	rattana	rattana	PROPN
ejpam-3634	518	16	,	,	PUNCT
ejpam-3634	518	17	r.	r.	PROPN
ejpam-3634	518	18	chinram	chinram	PROPN
ejpam-3634	518	19	/	/	SYM
ejpam-3634	518	20	eur	eur	PROPN
ejpam-3634	518	21	.	.	PUNCT
ejpam-3634	519	1	j.	j.	PROPN
ejpam-3634	519	2	pure	pure	PROPN
ejpam-3634	519	3	appl	appl	PROPN
ejpam-3634	519	4	.	.	PROPN
ejpam-3634	519	5	math	math	PROPN
ejpam-3634	519	6	,	,	PUNCT
ejpam-3634	519	7	13	13	NUM
ejpam-3634	519	8	(	(	PUNCT
ejpam-3634	519	9	2	2	NUM
ejpam-3634	519	10	)	)	PUNCT
ejpam-3634	519	11	(	(	PUNCT
ejpam-3634	519	12	2020	2020	NUM
ejpam-3634	519	13	)	)	PUNCT
ejpam-3634	519	14	,	,	PUNCT
ejpam-3634	519	15	200	200	NUM
ejpam-3634	519	16	-	-	SYM
ejpam-3634	519	17	215	215	NUM
ejpam-3634	519	18	213	213	NUM
ejpam-3634	519	19	let	let	VERB
ejpam-3634	519	20	x	x	PRON
ejpam-3634	519	21	,	,	PUNCT
ejpam-3634	519	22	y	y	PROPN
ejpam-3634	519	23	be	be	VERB
ejpam-3634	519	24	two	two	NUM
ejpam-3634	519	25	sets	set	NOUN
ejpam-3634	519	26	and	and	CCONJ
ejpam-3634	519	27	g	g	NOUN
ejpam-3634	519	28	:	:	PUNCT
ejpam-3634	519	29	x	x	X
ejpam-3634	519	30	→	→	SYM
ejpam-3634	519	31	y	y	X
ejpam-3634	519	32	be	be	AUX
ejpam-3634	519	33	an	an	PRON
ejpam-3634	519	34	onto	onto	ADP
ejpam-3634	519	35	function	function	NOUN
ejpam-3634	519	36	.	.	PUNCT
ejpam-3634	520	1	if	if	SCONJ
ejpam-3634	520	2	xn	xn	PROPN
ejpam-3634	520	3	:	:	PUNCT
ejpam-3634	520	4	=	=	SYM
ejpam-3634	520	5	x	x	X
ejpam-3634	520	6	(	(	PUNCT
ejpam-3634	520	7	tn	tn	NOUN
ejpam-3634	520	8	,	,	PUNCT
ejpam-3634	520	9	in	in	ADP
ejpam-3634	520	10	,	,	PUNCT
ejpam-3634	520	11	fn	fn	INTJ
ejpam-3634	520	12	)	)	PUNCT
ejpam-3634	520	13	is	be	AUX
ejpam-3634	520	14	a	a	DET
ejpam-3634	520	15	neutrosophic	neutrosophic	ADJ
ejpam-3634	520	16	n	n	CCONJ
ejpam-3634	520	17	-structure	-structure	NOUN
ejpam-3634	520	18	over	over	ADP
ejpam-3634	520	19	x	x	NOUN
ejpam-3634	520	20	,	,	PUNCT
ejpam-3634	520	21	then	then	ADV
ejpam-3634	520	22	the	the	DET
ejpam-3634	520	23	image	image	NOUN
ejpam-3634	520	24	of	of	ADP
ejpam-3634	520	25	xn	xn	PROPN
ejpam-3634	520	26	under	under	ADP
ejpam-3634	520	27	g	g	PROPN
ejpam-3634	520	28	is	be	AUX
ejpam-3634	520	29	a	a	DET
ejpam-3634	520	30	neutrosophic	neutrosophic	ADJ
ejpam-3634	520	31	n	n	PRON
ejpam-3634	520	32	-structure	-structure	NOUN
ejpam-3634	520	33	over	over	ADP
ejpam-3634	520	34	y	y	PROPN
ejpam-3634	520	35	defined	define	VERB
ejpam-3634	520	36	by	by	ADP
ejpam-3634	520	37	g(xn	g(xn	NOUN
ejpam-3634	520	38	)	)	PUNCT
ejpam-3634	520	39	:	:	PUNCT
ejpam-3634	520	40	=	=	SYM
ejpam-3634	520	41	y	y	PROPN
ejpam-3634	520	42	(	(	PUNCT
ejpam-3634	520	43	g(tn	g(tn	PROPN
ejpam-3634	520	44	)	)	PUNCT
ejpam-3634	520	45	,	,	PUNCT
ejpam-3634	520	46	g(in	g(in	PROPN
ejpam-3634	520	47	)	)	PUNCT
ejpam-3634	520	48	,	,	PUNCT
ejpam-3634	520	49	g(fn	g(fn	NOUN
ejpam-3634	520	50	)	)	PUNCT
ejpam-3634	520	51	)	)	PUNCT
ejpam-3634	520	52	where	where	SCONJ
ejpam-3634	520	53	g(tn	g(tn	NOUN
ejpam-3634	520	54	)	)	PUNCT
ejpam-3634	520	55	(	(	PUNCT
ejpam-3634	520	56	y	y	NOUN
ejpam-3634	520	57	)	)	PUNCT
ejpam-3634	520	58	=	=	SYM
ejpam-3634	521	1	∧	∧	PROPN
ejpam-3634	521	2	x∈g−1(y	x∈g−1(y	PROPN
ejpam-3634	521	3	)	)	PUNCT
ejpam-3634	521	4	tn	tn	PROPN
ejpam-3634	521	5	(	(	PUNCT
ejpam-3634	521	6	x	x	NOUN
ejpam-3634	521	7	)	)	PUNCT
ejpam-3634	521	8	,	,	PUNCT
ejpam-3634	521	9	g(in	g(in	NOUN
ejpam-3634	521	10	)	)	PUNCT
ejpam-3634	521	11	(	(	PUNCT
ejpam-3634	521	12	y	y	NOUN
ejpam-3634	521	13	)	)	PUNCT
ejpam-3634	521	14	=	=	SYM
ejpam-3634	521	15	∨	∨	PROPN
ejpam-3634	521	16	x∈g−1(y	x∈g−1(y	PROPN
ejpam-3634	521	17	)	)	PUNCT
ejpam-3634	521	18	in	in	ADP
ejpam-3634	521	19	(	(	PUNCT
ejpam-3634	521	20	x	x	NOUN
ejpam-3634	521	21	)	)	PUNCT
ejpam-3634	521	22	,	,	PUNCT
ejpam-3634	521	23	g(fn	g(fn	NOUN
ejpam-3634	521	24	)	)	PUNCT
ejpam-3634	521	25	(	(	PUNCT
ejpam-3634	521	26	y	y	NOUN
ejpam-3634	521	27	)	)	PUNCT
ejpam-3634	521	28	=	=	SYM
ejpam-3634	521	29	∧	∧	PROPN
ejpam-3634	521	30	x∈g−1(y	x∈g−1(y	X
ejpam-3634	521	31	)	)	PUNCT
ejpam-3634	522	1	fn	fn	NOUN
ejpam-3634	522	2	(	(	PUNCT
ejpam-3634	522	3	x	x	NOUN
ejpam-3634	522	4	)	)	PUNCT
ejpam-3634	522	5	.	.	PUNCT
ejpam-3634	523	1	theorem	theorem	NOUN
ejpam-3634	523	2	12	12	NUM
ejpam-3634	523	3	.	.	PUNCT
ejpam-3634	524	1	let	let	VERB
ejpam-3634	524	2	x	x	PRON
ejpam-3634	524	3	,	,	PUNCT
ejpam-3634	524	4	y	y	PROPN
ejpam-3634	524	5	be	be	VERB
ejpam-3634	524	6	two	two	NUM
ejpam-3634	524	7	n	n	CCONJ
ejpam-3634	524	8	-	-	PUNCT
ejpam-3634	524	9	ary	ary	NOUN
ejpam-3634	524	10	groupoids	groupoid	NOUN
ejpam-3634	524	11	and	and	CCONJ
ejpam-3634	524	12	let	let	VERB
ejpam-3634	524	13	g	g	NOUN
ejpam-3634	524	14	:	:	PUNCT
ejpam-3634	524	15	x	x	SYM
ejpam-3634	524	16	→	→	SYM
ejpam-3634	524	17	y	y	X
ejpam-3634	524	18	be	be	AUX
ejpam-3634	524	19	an	an	PRON
ejpam-3634	524	20	onto	onto	ADP
ejpam-3634	524	21	homomorphism	homomorphism	NOUN
ejpam-3634	524	22	.	.	PUNCT
ejpam-3634	525	1	let	let	VERB
ejpam-3634	525	2	xn	xn	PROPN
ejpam-3634	526	1	:	:	PUNCT
ejpam-3634	526	2	=	=	SYM
ejpam-3634	526	3	x	x	X
ejpam-3634	526	4	(	(	PUNCT
ejpam-3634	526	5	tn	tn	NOUN
ejpam-3634	526	6	,	,	PUNCT
ejpam-3634	526	7	in	in	ADP
ejpam-3634	526	8	,	,	PUNCT
ejpam-3634	526	9	fn	fn	INTJ
ejpam-3634	526	10	)	)	PUNCT
ejpam-3634	526	11	be	be	AUX
ejpam-3634	526	12	a	a	DET
ejpam-3634	526	13	neutrosophic	neutrosophic	ADJ
ejpam-3634	526	14	n	n	PRON
ejpam-3634	526	15	-structure	-structure	NOUN
ejpam-3634	526	16	of	of	ADP
ejpam-3634	526	17	x	x	PRON
ejpam-3634	526	18	such	such	ADJ
ejpam-3634	526	19	that	that	PRON
ejpam-3634	526	20	for	for	ADP
ejpam-3634	526	21	all	all	DET
ejpam-3634	526	22	a	a	DET
ejpam-3634	526	23	⊆	⊆	NUM
ejpam-3634	526	24	x	x	NOUN
ejpam-3634	526	25	,	,	PUNCT
ejpam-3634	526	26	there	there	PRON
ejpam-3634	526	27	is	be	VERB
ejpam-3634	526	28	x0	x0	PROPN
ejpam-3634	526	29	∈	∈	PROPN
ejpam-3634	526	30	a	a	DET
ejpam-3634	526	31	such	such	ADJ
ejpam-3634	526	32	that	that	DET
ejpam-3634	526	33	tn	tn	PROPN
ejpam-3634	526	34	(	(	PUNCT
ejpam-3634	526	35	x0	x0	PROPN
ejpam-3634	526	36	)	)	PUNCT
ejpam-3634	527	1	=	=	SYM
ejpam-3634	527	2	∧	∧	PROPN
ejpam-3634	527	3	z∈a	z∈a	PROPN
ejpam-3634	527	4	tn	tn	PROPN
ejpam-3634	527	5	(	(	PUNCT
ejpam-3634	527	6	z	z	NOUN
ejpam-3634	527	7	)	)	PUNCT
ejpam-3634	527	8	,	,	PUNCT
ejpam-3634	527	9	in	in	ADP
ejpam-3634	527	10	(	(	PUNCT
ejpam-3634	527	11	x0	x0	PROPN
ejpam-3634	527	12	)	)	PUNCT
ejpam-3634	527	13	=	=	PUNCT
ejpam-3634	527	14	∨	∨	NUM
ejpam-3634	527	15	z∈a	z∈a	X
ejpam-3634	527	16	in	in	ADP
ejpam-3634	527	17	(	(	PUNCT
ejpam-3634	527	18	z	z	NOUN
ejpam-3634	527	19	)	)	PUNCT
ejpam-3634	527	20	,	,	PUNCT
ejpam-3634	527	21	fn	fn	PROPN
ejpam-3634	527	22	(	(	PUNCT
ejpam-3634	527	23	x0	x0	PROPN
ejpam-3634	527	24	)	)	PUNCT
ejpam-3634	528	1	=	=	SYM
ejpam-3634	528	2	∧	∧	PROPN
ejpam-3634	528	3	z∈a	z∈a	PROPN
ejpam-3634	528	4	fn	fn	PROPN
ejpam-3634	528	5	(	(	PUNCT
ejpam-3634	528	6	z	z	NOUN
ejpam-3634	528	7	)	)	PUNCT
ejpam-3634	528	8	.	.	PUNCT
ejpam-3634	529	1	if	if	SCONJ
ejpam-3634	529	2	xn	xn	PROPN
ejpam-3634	529	3	is	be	AUX
ejpam-3634	529	4	a	a	DET
ejpam-3634	529	5	neutrosophic	neutrosophic	ADJ
ejpam-3634	529	6	n	n	CCONJ
ejpam-3634	529	7	-	-	PUNCT
ejpam-3634	529	8	ary	ary	PROPN
ejpam-3634	529	9	n	n	NUM
ejpam-3634	529	10	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	529	11	of	of	ADP
ejpam-3634	529	12	x	x	PRON
ejpam-3634	529	13	,	,	PUNCT
ejpam-3634	529	14	then	then	ADV
ejpam-3634	529	15	the	the	DET
ejpam-3634	529	16	image	image	NOUN
ejpam-3634	529	17	of	of	ADP
ejpam-3634	529	18	xn	xn	PROPN
ejpam-3634	529	19	under	under	ADP
ejpam-3634	529	20	g	g	NOUN
ejpam-3634	529	21	,	,	PUNCT
ejpam-3634	529	22	g(xn	g(xn	NOUN
ejpam-3634	529	23	)	)	PUNCT
ejpam-3634	529	24	=	=	SYM
ejpam-3634	529	25	y	y	PROPN
ejpam-3634	529	26	(	(	PUNCT
ejpam-3634	529	27	g(tn	g(tn	PROPN
ejpam-3634	529	28	)	)	PUNCT
ejpam-3634	529	29	,	,	PUNCT
ejpam-3634	529	30	g(in	g(in	PROPN
ejpam-3634	529	31	)	)	PUNCT
ejpam-3634	529	32	,	,	PUNCT
ejpam-3634	529	33	g(fn	g(fn	NOUN
ejpam-3634	529	34	)	)	PUNCT
ejpam-3634	529	35	)	)	PUNCT
ejpam-3634	529	36	,	,	PUNCT
ejpam-3634	529	37	is	be	AUX
ejpam-3634	529	38	a	a	DET
ejpam-3634	529	39	neutrosophic	neutrosophic	ADJ
ejpam-3634	529	40	n	n	CCONJ
ejpam-3634	529	41	-	-	PUNCT
ejpam-3634	529	42	ary	ary	PROPN
ejpam-3634	529	43	n	n	NUM
ejpam-3634	529	44	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	529	45	of	of	ADP
ejpam-3634	529	46	y	y	PROPN
ejpam-3634	529	47	.	.	PUNCT
ejpam-3634	530	1	proof	proof	NOUN
ejpam-3634	530	2	.	.	PUNCT
ejpam-3634	531	1	let	let	VERB
ejpam-3634	531	2	g(xn	g(xn	NOUN
ejpam-3634	531	3	)	)	PUNCT
ejpam-3634	532	1	=	=	SYM
ejpam-3634	532	2	y	y	PROPN
ejpam-3634	532	3	(	(	PUNCT
ejpam-3634	532	4	g(tn	g(tn	PROPN
ejpam-3634	532	5	)	)	PUNCT
ejpam-3634	532	6	,	,	PUNCT
ejpam-3634	532	7	g(in	g(in	PROPN
ejpam-3634	532	8	)	)	PUNCT
ejpam-3634	532	9	,	,	PUNCT
ejpam-3634	532	10	g(fn	g(fn	NOUN
ejpam-3634	532	11	)	)	PUNCT
ejpam-3634	532	12	)	)	PUNCT
ejpam-3634	532	13	be	be	AUX
ejpam-3634	532	14	the	the	DET
ejpam-3634	532	15	image	image	NOUN
ejpam-3634	532	16	of	of	ADP
ejpam-3634	532	17	xn	xn	PROPN
ejpam-3634	532	18	under	under	ADP
ejpam-3634	532	19	g.	g.	PROPN
ejpam-3634	532	20	let	let	VERB
ejpam-3634	532	21	y1	y1	PROPN
ejpam-3634	532	22	,	,	PUNCT
ejpam-3634	532	23	.	.	PUNCT
ejpam-3634	532	24	.	.	PUNCT
ejpam-3634	533	1	.	.	PUNCT
ejpam-3634	534	1	,	,	PUNCT
ejpam-3634	534	2	yn	yn	PROPN
ejpam-3634	534	3	∈	∈	PROPN
ejpam-3634	534	4	y	y	PROPN
ejpam-3634	534	5	.	.	PUNCT
ejpam-3634	535	1	then	then	ADV
ejpam-3634	535	2	g−1(y1	g−1(y1	PROPN
ejpam-3634	535	3	)	)	PUNCT
ejpam-3634	535	4	6=	6=	NUM
ejpam-3634	535	5	∅	∅	NOUN
ejpam-3634	535	6	,	,	PUNCT
ejpam-3634	535	7	.	.	PUNCT
ejpam-3634	535	8	.	.	PUNCT
ejpam-3634	535	9	.	.	PUNCT
ejpam-3634	536	1	,	,	PUNCT
ejpam-3634	536	2	,	,	PUNCT
ejpam-3634	536	3	g−1(yn	g−1(yn	PROPN
ejpam-3634	536	4	)	)	PUNCT
ejpam-3634	536	5	6=	6=	NOUN
ejpam-3634	536	6	∅	∅	NOUN
ejpam-3634	536	7	in	in	ADP
ejpam-3634	536	8	x	x	ADP
ejpam-3634	536	9	which	which	PRON
ejpam-3634	536	10	implies	imply	VERB
ejpam-3634	536	11	that	that	SCONJ
ejpam-3634	536	12	there	there	PRON
ejpam-3634	536	13	are	be	VERB
ejpam-3634	536	14	xy1	xy1	PROPN
ejpam-3634	536	15	∈	∈	PROPN
ejpam-3634	536	16	g−1(y1	g−1(y1	PROPN
ejpam-3634	536	17	)	)	PUNCT
ejpam-3634	536	18	,	,	PUNCT
ejpam-3634	536	19	.	.	PUNCT
ejpam-3634	536	20	.	.	PUNCT
ejpam-3634	537	1	.	.	PUNCT
ejpam-3634	538	1	,	,	PUNCT
ejpam-3634	538	2	xyn	xyn	PROPN
ejpam-3634	538	3	∈	∈	PROPN
ejpam-3634	538	4	g−1(yn	g−1(yn	PROPN
ejpam-3634	538	5	)	)	PUNCT
ejpam-3634	539	1	such	such	ADJ
ejpam-3634	539	2	that	that	PRON
ejpam-3634	539	3	tn	tn	PROPN
ejpam-3634	539	4	(	(	PUNCT
ejpam-3634	539	5	xy1	xy1	PROPN
ejpam-3634	539	6	)	)	PUNCT
ejpam-3634	539	7	=	=	PUNCT
ejpam-3634	539	8	∧	∧	PROPN
ejpam-3634	539	9	z1∈g−1(y1	z1∈g−1(y1	PROPN
ejpam-3634	539	10	)	)	PUNCT
ejpam-3634	539	11	tn	tn	PROPN
ejpam-3634	539	12	(	(	PUNCT
ejpam-3634	539	13	z1	z1	PROPN
ejpam-3634	539	14	)	)	PUNCT
ejpam-3634	539	15	,	,	PUNCT
ejpam-3634	539	16	in	in	ADP
ejpam-3634	539	17	(	(	PUNCT
ejpam-3634	539	18	xy1	xy1	PROPN
ejpam-3634	539	19	)	)	PUNCT
ejpam-3634	539	20	=	=	PUNCT
ejpam-3634	539	21	∨	∨	NUM
ejpam-3634	539	22	z1∈g−1(y1	z1∈g−1(y1	PROPN
ejpam-3634	539	23	)	)	PUNCT
ejpam-3634	539	24	in	in	ADP
ejpam-3634	539	25	(	(	PUNCT
ejpam-3634	539	26	z1	z1	NOUN
ejpam-3634	539	27	)	)	PUNCT
ejpam-3634	539	28	,	,	PUNCT
ejpam-3634	539	29	fn	fn	PROPN
ejpam-3634	539	30	(	(	PUNCT
ejpam-3634	539	31	xy1	xy1	PROPN
ejpam-3634	539	32	)	)	PUNCT
ejpam-3634	539	33	=	=	PUNCT
ejpam-3634	539	34	∧	∧	PROPN
ejpam-3634	539	35	z1∈g−1(y1	z1∈g−1(y1	PROPN
ejpam-3634	539	36	)	)	PUNCT
ejpam-3634	539	37	fn	fn	PROPN
ejpam-3634	539	38	(	(	PUNCT
ejpam-3634	539	39	z1	z1	PROPN
ejpam-3634	539	40	)	)	PUNCT
ejpam-3634	539	41	,	,	PUNCT
ejpam-3634	539	42	...	...	PUNCT
ejpam-3634	539	43	tn	tn	PROPN
ejpam-3634	539	44	(	(	PUNCT
ejpam-3634	539	45	xyn	xyn	PROPN
ejpam-3634	539	46	)	)	PUNCT
ejpam-3634	539	47	=	=	PUNCT
ejpam-3634	539	48	∧	∧	PROPN
ejpam-3634	539	49	zn∈g−1(yn	zn∈g−1(yn	PROPN
ejpam-3634	539	50	)	)	PUNCT
ejpam-3634	539	51	tn	tn	PROPN
ejpam-3634	539	52	(	(	PUNCT
ejpam-3634	539	53	zn	zn	NOUN
ejpam-3634	539	54	)	)	PUNCT
ejpam-3634	539	55	,	,	PUNCT
ejpam-3634	539	56	in	in	ADP
ejpam-3634	539	57	(	(	PUNCT
ejpam-3634	539	58	xyn	xyn	PROPN
ejpam-3634	539	59	)	)	PUNCT
ejpam-3634	539	60	=	=	PUNCT
ejpam-3634	539	61	∨	∨	NUM
ejpam-3634	539	62	zn∈g−1(yn	zn∈g−1(yn	NOUN
ejpam-3634	539	63	)	)	PUNCT
ejpam-3634	539	64	in	in	ADP
ejpam-3634	539	65	(	(	PUNCT
ejpam-3634	539	66	zn	zn	NOUN
ejpam-3634	539	67	)	)	PUNCT
ejpam-3634	539	68	,	,	PUNCT
ejpam-3634	539	69	fn	fn	PROPN
ejpam-3634	539	70	(	(	PUNCT
ejpam-3634	539	71	xyn	xyn	PROPN
ejpam-3634	539	72	)	)	PUNCT
ejpam-3634	540	1	=	=	PUNCT
ejpam-3634	540	2	∧	∧	PROPN
ejpam-3634	540	3	zn∈g−1(yn	zn∈g−1(yn	NOUN
ejpam-3634	540	4	)	)	PUNCT
ejpam-3634	540	5	fn	fn	NOUN
ejpam-3634	540	6	(	(	PUNCT
ejpam-3634	540	7	zn	zn	NOUN
ejpam-3634	540	8	)	)	PUNCT
ejpam-3634	540	9	.	.	PUNCT
ejpam-3634	541	1	a.	a.	PROPN
ejpam-3634	541	2	rattana	rattana	PROPN
ejpam-3634	541	3	,	,	PUNCT
ejpam-3634	541	4	r.	r.	PROPN
ejpam-3634	541	5	chinram	chinram	PROPN
ejpam-3634	541	6	/	/	SYM
ejpam-3634	541	7	eur	eur	PROPN
ejpam-3634	541	8	.	.	PUNCT
ejpam-3634	542	1	j.	j.	PROPN
ejpam-3634	542	2	pure	pure	PROPN
ejpam-3634	542	3	appl	appl	PROPN
ejpam-3634	542	4	.	.	PROPN
ejpam-3634	542	5	math	math	PROPN
ejpam-3634	542	6	,	,	PUNCT
ejpam-3634	542	7	13	13	NUM
ejpam-3634	542	8	(	(	PUNCT
ejpam-3634	542	9	2	2	NUM
ejpam-3634	542	10	)	)	PUNCT
ejpam-3634	542	11	(	(	PUNCT
ejpam-3634	542	12	2020	2020	NUM
ejpam-3634	542	13	)	)	PUNCT
ejpam-3634	542	14	,	,	PUNCT
ejpam-3634	542	15	200	200	NUM
ejpam-3634	542	16	-	-	SYM
ejpam-3634	542	17	215	215	NUM
ejpam-3634	542	18	214	214	NUM
ejpam-3634	542	19	hence	hence	ADV
ejpam-3634	542	20	g(tn	g(tn	NOUN
ejpam-3634	542	21	)	)	PUNCT
ejpam-3634	542	22	(	(	PUNCT
ejpam-3634	542	23	yn1	yn1	X
ejpam-3634	542	24	)	)	PUNCT
ejpam-3634	542	25	=	=	SYM
ejpam-3634	543	1	∧	∧	PROPN
ejpam-3634	543	2	x∈g−1(yn1	x∈g−1(yn1	X
ejpam-3634	543	3	)	)	PUNCT
ejpam-3634	543	4	tn	tn	PROPN
ejpam-3634	543	5	(	(	PUNCT
ejpam-3634	543	6	x	x	NOUN
ejpam-3634	543	7	)	)	PUNCT
ejpam-3634	543	8	≤	≤	PROPN
ejpam-3634	543	9	tn	tn	PROPN
ejpam-3634	543	10	(	(	PUNCT
ejpam-3634	543	11	xy1	xy1	PROPN
ejpam-3634	543	12	.	.	PUNCT
ejpam-3634	543	13	.	.	PUNCT
ejpam-3634	543	14	.	.	PUNCT
ejpam-3634	544	1	xyn	xyn	PROPN
ejpam-3634	544	2	)	)	PUNCT
ejpam-3634	544	3	≤	≤	NOUN
ejpam-3634	544	4	∨	∨	NUM
ejpam-3634	544	5	{	{	PUNCT
ejpam-3634	544	6	tn	tn	PROPN
ejpam-3634	544	7	(	(	PUNCT
ejpam-3634	544	8	xy1	xy1	PROPN
ejpam-3634	544	9	)	)	PUNCT
ejpam-3634	544	10	,	,	PUNCT
ejpam-3634	544	11	.	.	PUNCT
ejpam-3634	544	12	.	.	PUNCT
ejpam-3634	545	1	.	.	PUNCT
ejpam-3634	546	1	,	,	PUNCT
ejpam-3634	546	2	tn	tn	PROPN
ejpam-3634	546	3	(	(	PUNCT
ejpam-3634	546	4	xyn	xyn	PROPN
ejpam-3634	546	5	)	)	PUNCT
ejpam-3634	546	6	}	}	PUNCT
ejpam-3634	546	7	=	=	SYM
ejpam-3634	546	8	∨	∨	VERB
ejpam-3634	546	9	∧	∧	PROPN
ejpam-3634	546	10	z1∈g−1(y1	z1∈g−1(y1	PROPN
ejpam-3634	546	11	)	)	PUNCT
ejpam-3634	546	12	tn	tn	PROPN
ejpam-3634	546	13	(	(	PUNCT
ejpam-3634	546	14	z1	z1	PROPN
ejpam-3634	546	15	)	)	PUNCT
ejpam-3634	546	16	,	,	PUNCT
ejpam-3634	546	17	.	.	PUNCT
ejpam-3634	546	18	.	.	PUNCT
ejpam-3634	547	1	.	.	PUNCT
ejpam-3634	548	1	,	,	PUNCT
ejpam-3634	548	2	∧	∧	PROPN
ejpam-3634	548	3	zn∈g−1(yn	zn∈g−1(yn	PROPN
ejpam-3634	548	4	)	)	PUNCT
ejpam-3634	548	5	tn	tn	PROPN
ejpam-3634	548	6	(	(	PUNCT
ejpam-3634	548	7	zn	zn	NOUN
ejpam-3634	548	8	)	)	PUNCT
ejpam-3634	549	1			NOUN
ejpam-3634	549	2	=	=	PUNCT
ejpam-3634	549	3	∨	∨	X
ejpam-3634	549	4	{	{	PUNCT
ejpam-3634	549	5	g(tn	g(tn	NOUN
ejpam-3634	549	6	)	)	PUNCT
ejpam-3634	549	7	(	(	PUNCT
ejpam-3634	549	8	y1	y1	NOUN
ejpam-3634	549	9	)	)	PUNCT
ejpam-3634	549	10	,	,	PUNCT
ejpam-3634	549	11	.	.	PUNCT
ejpam-3634	549	12	.	.	PUNCT
ejpam-3634	549	13	.	.	PUNCT
ejpam-3634	550	1	,	,	PUNCT
ejpam-3634	550	2	g(tn	g(tn	NOUN
ejpam-3634	550	3	)	)	PUNCT
ejpam-3634	550	4	(	(	PUNCT
ejpam-3634	550	5	yn	yn	NOUN
ejpam-3634	550	6	)	)	PUNCT
ejpam-3634	550	7	}	}	PUNCT
ejpam-3634	550	8	,	,	PUNCT
ejpam-3634	550	9	g(in	g(in	NOUN
ejpam-3634	550	10	)	)	PUNCT
ejpam-3634	550	11	(	(	PUNCT
ejpam-3634	550	12	yn1	yn1	X
ejpam-3634	550	13	)	)	PUNCT
ejpam-3634	550	14	=	=	PUNCT
ejpam-3634	550	15	∨	∨	NUM
ejpam-3634	550	16	x∈g−1(yn1	x∈g−1(yn1	X
ejpam-3634	550	17	)	)	PUNCT
ejpam-3634	550	18	in	in	ADP
ejpam-3634	550	19	(	(	PUNCT
ejpam-3634	550	20	x	x	X
ejpam-3634	550	21	)	)	PUNCT
ejpam-3634	550	22	≥	≥	NOUN
ejpam-3634	550	23	in	in	ADP
ejpam-3634	550	24	(	(	PUNCT
ejpam-3634	550	25	xy1	xy1	X
ejpam-3634	550	26	.	.	PUNCT
ejpam-3634	550	27	.	.	PUNCT
ejpam-3634	550	28	.	.	PUNCT
ejpam-3634	551	1	xyn	xyn	PROPN
ejpam-3634	551	2	)	)	PUNCT
ejpam-3634	551	3	≥	≥	X
ejpam-3634	551	4	∧	∧	NOUN
ejpam-3634	551	5	{	{	PUNCT
ejpam-3634	551	6	in	in	ADP
ejpam-3634	551	7	(	(	PUNCT
ejpam-3634	551	8	xy1	xy1	PROPN
ejpam-3634	551	9	)	)	PUNCT
ejpam-3634	551	10	,	,	PUNCT
ejpam-3634	551	11	.	.	PUNCT
ejpam-3634	551	12	.	.	PUNCT
ejpam-3634	551	13	.	.	PUNCT
ejpam-3634	552	1	,	,	PUNCT
ejpam-3634	552	2	in	in	ADP
ejpam-3634	552	3	(	(	PUNCT
ejpam-3634	552	4	xyn	xyn	NOUN
ejpam-3634	552	5	)	)	PUNCT
ejpam-3634	552	6	}	}	PUNCT
ejpam-3634	552	7	=	=	PUNCT
ejpam-3634	552	8	∧	∧	PROPN
ejpam-3634	552	9	∨	∨	NUM
ejpam-3634	552	10	z1∈g−1(y1	z1∈g−1(y1	PROPN
ejpam-3634	552	11	)	)	PUNCT
ejpam-3634	552	12	in	in	ADP
ejpam-3634	552	13	(	(	PUNCT
ejpam-3634	552	14	z1	z1	NOUN
ejpam-3634	552	15	)	)	PUNCT
ejpam-3634	552	16	,	,	PUNCT
ejpam-3634	552	17	.	.	PUNCT
ejpam-3634	552	18	.	.	PUNCT
ejpam-3634	552	19	.	.	PUNCT
ejpam-3634	553	1	,	,	PUNCT
ejpam-3634	553	2	∨	∨	NUM
ejpam-3634	553	3	zn∈g−1(yn	zn∈g−1(yn	NOUN
ejpam-3634	553	4	)	)	PUNCT
ejpam-3634	553	5	in	in	ADP
ejpam-3634	553	6	(	(	PUNCT
ejpam-3634	553	7	zn	zn	X
ejpam-3634	553	8	)	)	PUNCT
ejpam-3634	553	9			NOUN
ejpam-3634	553	10	=	=	SYM
ejpam-3634	553	11	∧	∧	PROPN
ejpam-3634	553	12	{	{	PUNCT
ejpam-3634	553	13	g(in	g(in	PROPN
ejpam-3634	553	14	)	)	PUNCT
ejpam-3634	553	15	(	(	PUNCT
ejpam-3634	553	16	y1	y1	NOUN
ejpam-3634	553	17	)	)	PUNCT
ejpam-3634	553	18	,	,	PUNCT
ejpam-3634	553	19	.	.	PUNCT
ejpam-3634	553	20	.	.	PUNCT
ejpam-3634	554	1	.	.	PUNCT
ejpam-3634	555	1	,	,	PUNCT
ejpam-3634	555	2	g(in	g(in	NOUN
ejpam-3634	555	3	)	)	PUNCT
ejpam-3634	555	4	(	(	PUNCT
ejpam-3634	555	5	yn	yn	NOUN
ejpam-3634	555	6	)	)	PUNCT
ejpam-3634	555	7	}	}	PUNCT
ejpam-3634	555	8	,	,	PUNCT
ejpam-3634	555	9	g(fn	g(fn	NOUN
ejpam-3634	555	10	)	)	PUNCT
ejpam-3634	555	11	(	(	PUNCT
ejpam-3634	555	12	yn1	yn1	X
ejpam-3634	555	13	)	)	PUNCT
ejpam-3634	556	1	=	=	SYM
ejpam-3634	556	2	∧	∧	NOUN
ejpam-3634	556	3	x∈g−1(yn1	x∈g−1(yn1	X
ejpam-3634	556	4	)	)	PUNCT
ejpam-3634	557	1	fn	fn	INTJ
ejpam-3634	557	2	(	(	PUNCT
ejpam-3634	557	3	x	x	NOUN
ejpam-3634	557	4	)	)	PUNCT
ejpam-3634	557	5	≤	≤	NUM
ejpam-3634	557	6	fn	fn	NOUN
ejpam-3634	557	7	(	(	PUNCT
ejpam-3634	557	8	xy1	xy1	PROPN
ejpam-3634	557	9	.	.	PUNCT
ejpam-3634	557	10	.	.	PUNCT
ejpam-3634	557	11	.	.	PUNCT
ejpam-3634	558	1	xyn	xyn	PROPN
ejpam-3634	558	2	)	)	PUNCT
ejpam-3634	558	3	≤	≤	NOUN
ejpam-3634	558	4	∨	∨	NUM
ejpam-3634	558	5	{	{	PUNCT
ejpam-3634	558	6	fn	fn	PROPN
ejpam-3634	558	7	(	(	PUNCT
ejpam-3634	558	8	xy1	xy1	PROPN
ejpam-3634	558	9	)	)	PUNCT
ejpam-3634	558	10	,	,	PUNCT
ejpam-3634	558	11	.	.	PUNCT
ejpam-3634	558	12	.	.	PUNCT
ejpam-3634	558	13	.	.	PUNCT
ejpam-3634	559	1	,	,	PUNCT
ejpam-3634	559	2	fn	fn	PROPN
ejpam-3634	559	3	(	(	PUNCT
ejpam-3634	559	4	xyn	xyn	NOUN
ejpam-3634	559	5	)	)	PUNCT
ejpam-3634	559	6	}	}	PUNCT
ejpam-3634	559	7	=	=	SYM
ejpam-3634	559	8	∨	∨	VERB
ejpam-3634	559	9	∧	∧	PROPN
ejpam-3634	559	10	z1∈g−1(y1	z1∈g−1(y1	PROPN
ejpam-3634	559	11	)	)	PUNCT
ejpam-3634	559	12	fn	fn	PROPN
ejpam-3634	559	13	(	(	PUNCT
ejpam-3634	559	14	z1	z1	PROPN
ejpam-3634	559	15	)	)	PUNCT
ejpam-3634	559	16	,	,	PUNCT
ejpam-3634	559	17	.	.	PUNCT
ejpam-3634	559	18	.	.	PUNCT
ejpam-3634	560	1	.	.	PUNCT
ejpam-3634	561	1	,	,	PUNCT
ejpam-3634	561	2	∧	∧	PROPN
ejpam-3634	561	3	zn∈g−1(yn	zn∈g−1(yn	NOUN
ejpam-3634	561	4	)	)	PUNCT
ejpam-3634	561	5	fn	fn	NOUN
ejpam-3634	561	6	(	(	PUNCT
ejpam-3634	561	7	zn	zn	NOUN
ejpam-3634	561	8	)	)	PUNCT
ejpam-3634	562	1			NOUN
ejpam-3634	562	2	=	=	PUNCT
ejpam-3634	562	3	∨	∨	X
ejpam-3634	562	4	{	{	PUNCT
ejpam-3634	562	5	g(fn	g(fn	NOUN
ejpam-3634	562	6	)	)	PUNCT
ejpam-3634	562	7	(	(	PUNCT
ejpam-3634	562	8	y1	y1	NOUN
ejpam-3634	562	9	)	)	PUNCT
ejpam-3634	562	10	,	,	PUNCT
ejpam-3634	562	11	.	.	PUNCT
ejpam-3634	562	12	.	.	PUNCT
ejpam-3634	563	1	.	.	PUNCT
ejpam-3634	564	1	,	,	PUNCT
ejpam-3634	564	2	g(fn	g(fn	NOUN
ejpam-3634	564	3	)	)	PUNCT
ejpam-3634	564	4	(	(	PUNCT
ejpam-3634	564	5	yn	yn	NOUN
ejpam-3634	564	6	)	)	PUNCT
ejpam-3634	564	7	}	}	PUNCT
ejpam-3634	564	8	.	.	PUNCT
ejpam-3634	565	1	hence	hence	ADV
ejpam-3634	565	2	g(xn	g(xn	NOUN
ejpam-3634	565	3	)	)	PUNCT
ejpam-3634	565	4	is	be	AUX
ejpam-3634	565	5	a	a	DET
ejpam-3634	565	6	neutrosophic	neutrosophic	ADJ
ejpam-3634	565	7	n	n	CCONJ
ejpam-3634	565	8	-	-	PUNCT
ejpam-3634	565	9	ary	ary	PROPN
ejpam-3634	565	10	n	n	NUM
ejpam-3634	565	11	-subgroupoid	-subgroupoid	NOUN
ejpam-3634	565	12	of	of	ADP
ejpam-3634	565	13	y	y	PROPN
ejpam-3634	565	14	.	.	PUNCT
ejpam-3634	566	1	4	4	X
ejpam-3634	566	2	.	.	X
ejpam-3634	566	3	conclusions	conclusion	NOUN
ejpam-3634	566	4	we	we	PRON
ejpam-3634	566	5	have	have	AUX
ejpam-3634	566	6	studied	study	VERB
ejpam-3634	566	7	the	the	DET
ejpam-3634	566	8	neutrosophic	neutrosophic	ADJ
ejpam-3634	566	9	n	n	CCONJ
ejpam-3634	566	10	-structure	-structure	NOUN
ejpam-3634	566	11	and	and	CCONJ
ejpam-3634	566	12	applied	apply	VERB
ejpam-3634	566	13	it	it	PRON
ejpam-3634	566	14	to	to	ADP
ejpam-3634	566	15	n	n	CCONJ
ejpam-3634	566	16	-	-	PUNCT
ejpam-3634	566	17	ary	ary	PROPN
ejpam-3634	566	18	groupoids	groupoid	NOUN
ejpam-3634	566	19	.	.	PUNCT
ejpam-3634	567	1	we	we	PRON
ejpam-3634	567	2	also	also	ADV
ejpam-3634	567	3	investigated	investigate	VERB
ejpam-3634	567	4	the	the	DET
ejpam-3634	567	5	notion	notion	NOUN
ejpam-3634	567	6	of	of	ADP
ejpam-3634	567	7	neutrosophic	neutrosophic	ADJ
ejpam-3634	567	8	n	n	PRON
ejpam-3634	567	9	-structures	-structure	NOUN
ejpam-3634	567	10	in	in	ADP
ejpam-3634	567	11	n	n	CCONJ
ejpam-3634	567	12	-	-	PUNCT
ejpam-3634	567	13	ary	ary	NOUN
ejpam-3634	567	14	groupoids	groupoid	NOUN
ejpam-3634	567	15	and	and	CCONJ
ejpam-3634	567	16	showed	show	VERB
ejpam-3634	567	17	some	some	DET
ejpam-3634	567	18	properties	property	NOUN
ejpam-3634	567	19	.	.	PUNCT
ejpam-3634	568	1	we	we	PRON
ejpam-3634	568	2	have	have	AUX
ejpam-3634	568	3	investigated	investigate	VERB
ejpam-3634	568	4	the	the	DET
ejpam-3634	568	5	conditions	condition	NOUN
ejpam-3634	568	6	for	for	ADP
ejpam-3634	568	7	neutrosophic	neutrosophic	ADJ
ejpam-3634	568	8	n	n	PART
ejpam-3634	568	9	-structures	-structure	NOUN
ejpam-3634	568	10	to	to	PART
ejpam-3634	568	11	be	be	AUX
ejpam-3634	568	12	neutrosophic	neutrosophic	ADJ
ejpam-3634	568	13	n	n	CCONJ
ejpam-3634	568	14	-	-	PUNCT
ejpam-3634	568	15	ary	ary	NOUN
ejpam-3634	568	16	n	n	PRON
ejpam-3634	568	17	-subgroupiods	-subgroupiod	NOUN
ejpam-3634	568	18	.	.	PUNCT
ejpam-3634	569	1	a	a	DET
ejpam-3634	569	2	neutrosophic	neutrosophic	ADJ
ejpam-3634	569	3	n	n	PRON
ejpam-3634	569	4	-product	-product	NOUN
ejpam-3634	569	5	has	have	AUX
ejpam-3634	569	6	been	be	AUX
ejpam-3634	569	7	introduced	introduce	VERB
ejpam-3634	569	8	.	.	PUNCT
ejpam-3634	570	1	in	in	ADP
ejpam-3634	570	2	addition	addition	NOUN
ejpam-3634	570	3	,	,	PUNCT
ejpam-3634	570	4	we	we	PRON
ejpam-3634	570	5	have	have	AUX
ejpam-3634	570	6	introduced	introduce	VERB
ejpam-3634	570	7	neutrosophic	neutrosophic	ADJ
ejpam-3634	570	8	n	n	CCONJ
ejpam-3634	570	9	-	-	PUNCT
ejpam-3634	570	10	ary	ary	NOUN
ejpam-3634	570	11	n	n	CCONJ
ejpam-3634	570	12	-subgroupoids	-subgroupoid	NOUN
ejpam-3634	570	13	,	,	PUNCT
ejpam-3634	570	14	ε	ε	PROPN
ejpam-3634	570	15	-	-	PUNCT
ejpam-3634	570	16	neutrosophic	neutrosophic	ADJ
ejpam-3634	570	17	n	n	CCONJ
ejpam-3634	570	18	-	-	PUNCT
ejpam-3634	570	19	ary	ary	NOUN
ejpam-3634	570	20	n	n	CCONJ
ejpam-3634	570	21	-subgroupoids	-subgroupoid	NOUN
ejpam-3634	570	22	and	and	CCONJ
ejpam-3634	570	23	shown	show	VERB
ejpam-3634	570	24	the	the	DET
ejpam-3634	570	25	relation	relation	NOUN
ejpam-3634	570	26	between	between	ADP
ejpam-3634	570	27	n	n	CCONJ
ejpam-3634	570	28	-	-	PUNCT
ejpam-3634	570	29	ary	ary	NOUN
ejpam-3634	570	30	subgroupoids	subgroupoid	NOUN
ejpam-3634	570	31	and	and	CCONJ
ejpam-3634	570	32	neutrosophic	neutrosophic	ADJ
ejpam-3634	570	33	n	n	CCONJ
ejpam-3634	570	34	-	-	PUNCT
ejpam-3634	570	35	ary	ary	NOUN
ejpam-3634	570	36	n	n	PRON
ejpam-3634	570	37	-subgroupoids	-subgroupoid	NOUN
ejpam-3634	570	38	.	.	PUNCT
ejpam-3634	571	1	finally	finally	ADV
ejpam-3634	571	2	,	,	PUNCT
ejpam-3634	571	3	we	we	PRON
ejpam-3634	571	4	showed	show	VERB
ejpam-3634	571	5	that	that	SCONJ
ejpam-3634	571	6	the	the	DET
ejpam-3634	571	7	homomorphic	homomorphic	ADJ
ejpam-3634	571	8	preimage	preimage	NOUN
ejpam-3634	571	9	of	of	ADP
ejpam-3634	571	10	the	the	DET
ejpam-3634	571	11	neutrosophic	neutrosophic	ADJ
ejpam-3634	571	12	n	n	CCONJ
ejpam-3634	571	13	-	-	PUNCT
ejpam-3634	571	14	ary	ary	NOUN
ejpam-3634	571	15	n	n	PRON
ejpam-3634	571	16	-subgroupoids	-subgroupoid	NOUN
ejpam-3634	571	17	is	be	AUX
ejpam-3634	571	18	a	a	DET
ejpam-3634	571	19	neutrosophic	neutrosophic	ADJ
ejpam-3634	571	20	n	n	CCONJ
ejpam-3634	571	21	-	-	PUNCT
ejpam-3634	571	22	ary	ary	NOUN
ejpam-3634	571	23	n	n	CCONJ
ejpam-3634	571	24	-subgroupoids	-subgroupoid	NOUN
ejpam-3634	571	25	and	and	CCONJ
ejpam-3634	571	26	the	the	DET
ejpam-3634	571	27	onto	onto	ADP
ejpam-3634	571	28	references	reference	NOUN
ejpam-3634	571	29	215	215	NUM
ejpam-3634	571	30	homomorphic	homomorphic	ADJ
ejpam-3634	571	31	image	image	NOUN
ejpam-3634	571	32	of	of	ADP
ejpam-3634	571	33	the	the	DET
ejpam-3634	571	34	neutrosophic	neutrosophic	ADJ
ejpam-3634	571	35	n	n	CCONJ
ejpam-3634	571	36	-	-	PUNCT
ejpam-3634	571	37	ary	ary	NOUN
ejpam-3634	571	38	n	n	PRON
ejpam-3634	571	39	-subgroupoids	-subgroupoid	NOUN
ejpam-3634	571	40	is	be	AUX
ejpam-3634	571	41	also	also	ADV
ejpam-3634	571	42	a	a	DET
ejpam-3634	571	43	neutrosophic	neutrosophic	ADJ
ejpam-3634	571	44	nary	nary	ADJ
ejpam-3634	571	45	n	n	PRON
ejpam-3634	571	46	-subgroupoids	-subgroupoid	NOUN
ejpam-3634	571	47	.	.	PUNCT
ejpam-3634	572	1	acknowledgments	acknowledgment	NOUN
ejpam-3634	572	2	this	this	DET
ejpam-3634	572	3	paper	paper	NOUN
ejpam-3634	572	4	was	be	AUX
ejpam-3634	572	5	supported	support	VERB
ejpam-3634	572	6	by	by	ADP
ejpam-3634	572	7	algebra	algebra	NOUN
ejpam-3634	572	8	and	and	CCONJ
ejpam-3634	572	9	applications	application	NOUN
ejpam-3634	572	10	research	research	NOUN
ejpam-3634	572	11	unit	unit	NOUN
ejpam-3634	572	12	,	,	PUNCT
ejpam-3634	572	13	prince	prince	NOUN
ejpam-3634	572	14	of	of	ADP
ejpam-3634	572	15	songkla	songkla	PROPN
ejpam-3634	572	16	university	university	PROPN
ejpam-3634	572	17	.	.	PUNCT
ejpam-3634	573	1	references	reference	NOUN
ejpam-3634	573	2	[	[	X
ejpam-3634	573	3	1	1	NUM
ejpam-3634	573	4	]	]	PUNCT
ejpam-3634	573	5	k.	k.	PROPN
ejpam-3634	573	6	atanassov	atanassov	PROPN
ejpam-3634	573	7	.	.	PUNCT
ejpam-3634	574	1	intuitionistic	intuitionistic	ADJ
ejpam-3634	574	2	fuzzy	fuzzy	ADJ
ejpam-3634	574	3	sets	set	NOUN
ejpam-3634	574	4	.	.	PUNCT
ejpam-3634	575	1	fuzzy	fuzzy	ADJ
ejpam-3634	575	2	sets	set	NOUN
ejpam-3634	575	3	syst	syst	PROPN
ejpam-3634	575	4	.	.	PUNCT
ejpam-3634	575	5	,	,	PUNCT
ejpam-3634	575	6	20(1):87–96	20(1):87–96	NUM
ejpam-3634	575	7	,	,	PUNCT
ejpam-3634	575	8	1986	1986	NUM
ejpam-3634	575	9	.	.	PUNCT
ejpam-3634	576	1	[	[	X
ejpam-3634	576	2	2	2	X
ejpam-3634	576	3	]	]	PUNCT
ejpam-3634	576	4	v.	v.	PROPN
ejpam-3634	576	5	d.	d.	PROPN
ejpam-3634	576	6	belousov	belousov	PROPN
ejpam-3634	576	7	.	.	PUNCT
ejpam-3634	577	1	n	n	CCONJ
ejpam-3634	577	2	-	-	PUNCT
ejpam-3634	577	3	ary	ary	PROPN
ejpam-3634	577	4	quasigroups	quasigroups	PROPN
ejpam-3634	577	5	.	.	PUNCT
ejpam-3634	578	1	shtiintsa	shtiintsa	NOUN
ejpam-3634	578	2	,	,	PUNCT
ejpam-3634	578	3	kishinev	kishinev	PROPN
ejpam-3634	578	4	,	,	PUNCT
ejpam-3634	578	5	1972	1972	NUM
ejpam-3634	579	1	[	[	X
ejpam-3634	579	2	in	in	ADP
ejpam-3634	579	3	russian	russian	PROPN
ejpam-3634	579	4	]	]	PUNCT
ejpam-3634	579	5	.	.	PUNCT
ejpam-3634	580	1	[	[	X
ejpam-3634	580	2	3	3	X
ejpam-3634	580	3	]	]	PUNCT
ejpam-3634	580	4	s.	s.	PROPN
ejpam-3634	580	5	s.	s.	PROPN
ejpam-3634	580	6	davidov	davidov	PROPN
ejpam-3634	580	7	.	.	PUNCT
ejpam-3634	581	1	on	on	ADP
ejpam-3634	581	2	the	the	DET
ejpam-3634	581	3	structure	structure	NOUN
ejpam-3634	581	4	of	of	ADP
ejpam-3634	581	5	medial	medial	ADJ
ejpam-3634	581	6	divisible	divisible	ADJ
ejpam-3634	581	7	n	n	CCONJ
ejpam-3634	581	8	-	-	PUNCT
ejpam-3634	581	9	ary	ary	PROPN
ejpam-3634	581	10	groupoids	groupoid	NOUN
ejpam-3634	581	11	.	.	PUNCT
ejpam-3634	581	12	math	math	NOUN
ejpam-3634	581	13	.	.	PUNCT
ejpam-3634	582	1	notes	note	NOUN
ejpam-3634	582	2	,	,	PUNCT
ejpam-3634	582	3	104(1):29–38	104(1):29–38	NOUN
ejpam-3634	582	4	,	,	PUNCT
ejpam-3634	582	5	2018	2018	NUM
ejpam-3634	582	6	.	.	PUNCT
ejpam-3634	583	1	[	[	X
ejpam-3634	583	2	4	4	NUM
ejpam-3634	583	3	]	]	X
ejpam-3634	583	4	m.	m.	NOUN
ejpam-3634	583	5	khan	khan	PROPN
ejpam-3634	583	6	,	,	PUNCT
ejpam-3634	583	7	s.	s.	PROPN
ejpam-3634	583	8	anis	anis	PROPN
ejpam-3634	583	9	,	,	PUNCT
ejpam-3634	583	10	f.	f.	PROPN
ejpam-3634	583	11	smarandache	smarandache	PROPN
ejpam-3634	583	12	,	,	PUNCT
ejpam-3634	583	13	and	and	CCONJ
ejpam-3634	583	14	y.	y.	PROPN
ejpam-3634	583	15	b.	b.	PROPN
ejpam-3634	583	16	jun	jun	PROPN
ejpam-3634	583	17	.	.	PROPN
ejpam-3634	583	18	neutrosophic	neutrosophic	PROPN
ejpam-3634	583	19	n	n	PRON
ejpam-3634	583	20	-structures	-structure	NOUN
ejpam-3634	583	21	and	and	CCONJ
ejpam-3634	583	22	their	their	PRON
ejpam-3634	583	23	applications	application	NOUN
ejpam-3634	583	24	in	in	ADP
ejpam-3634	583	25	semigroups	semigroup	NOUN
ejpam-3634	583	26	.	.	PUNCT
ejpam-3634	584	1	ann	ann	PROPN
ejpam-3634	584	2	.	.	PUNCT
ejpam-3634	584	3	fuzzy	fuzzy	ADJ
ejpam-3634	584	4	math	math	PROPN
ejpam-3634	584	5	.	.	PUNCT
ejpam-3634	585	1	inform	inform	NOUN
ejpam-3634	585	2	,	,	PUNCT
ejpam-3634	585	3	14:583–598	14:583–598	NUM
ejpam-3634	585	4	,	,	PUNCT
ejpam-3634	585	5	2017	2017	NUM
ejpam-3634	585	6	.	.	PUNCT
ejpam-3634	586	1	[	[	X
ejpam-3634	586	2	5	5	NUM
ejpam-3634	586	3	]	]	PUNCT
ejpam-3634	586	4	a.	a.	NOUN
ejpam-3634	586	5	marini	marini	PROPN
ejpam-3634	586	6	and	and	CCONJ
ejpam-3634	586	7	v.	v.	ADP
ejpam-3634	586	8	shcherbacov	shcherbacov	ADJ
ejpam-3634	586	9	.	.	PUNCT
ejpam-3634	587	1	on	on	ADP
ejpam-3634	587	2	autotopies	autotopie	NOUN
ejpam-3634	587	3	and	and	CCONJ
ejpam-3634	587	4	automorphisms	automorphism	NOUN
ejpam-3634	587	5	of	of	ADP
ejpam-3634	587	6	n	n	CCONJ
ejpam-3634	587	7	-	-	PUNCT
ejpam-3634	587	8	ary	ary	PROPN
ejpam-3634	587	9	linear	linear	PROPN
ejpam-3634	587	10	quasigroups	quasigroup	NOUN
ejpam-3634	587	11	.	.	PUNCT
ejpam-3634	588	1	algebra	algebra	NOUN
ejpam-3634	588	2	discrete	discrete	ADJ
ejpam-3634	588	3	math	math	NOUN
ejpam-3634	588	4	.	.	PUNCT
ejpam-3634	588	5	,	,	PUNCT
ejpam-3634	588	6	2:59–83	2:59–83	NUM
ejpam-3634	588	7	,	,	PUNCT
ejpam-3634	588	8	2004	2004	NUM
ejpam-3634	588	9	.	.	PUNCT
ejpam-3634	589	1	[	[	X
ejpam-3634	589	2	6	6	NUM
ejpam-3634	589	3	]	]	PUNCT
ejpam-3634	589	4	p.	p.	NOUN
ejpam-3634	589	5	rangsuk	rangsuk	PROPN
ejpam-3634	589	6	,	,	PUNCT
ejpam-3634	589	7	p.	p.	NOUN
ejpam-3634	589	8	huana	huana	PROPN
ejpam-3634	589	9	,	,	PUNCT
ejpam-3634	589	10	and	and	CCONJ
ejpam-3634	589	11	a.	a.	NOUN
ejpam-3634	589	12	iampan	iampan	PROPN
ejpam-3634	589	13	.	.	PUNCT
ejpam-3634	590	1	neutrosophic	neutrosophic	ADJ
ejpam-3634	590	2	n	n	PRON
ejpam-3634	590	3	-structures	-structure	NOUN
ejpam-3634	590	4	over	over	ADP
ejpam-3634	590	5	up	up	ADV
ejpam-3634	590	6	-	-	PUNCT
ejpam-3634	590	7	algebras	algebras	X
ejpam-3634	590	8	.	.	PUNCT
ejpam-3634	591	1	neutrosophic	neutrosophic	PROPN
ejpam-3634	591	2	sets	set	VERB
ejpam-3634	591	3	syst	syst	PROPN
ejpam-3634	591	4	.	.	PUNCT
ejpam-3634	591	5	,	,	PUNCT
ejpam-3634	591	6	28:87–127	28:87–127	NUM
ejpam-3634	591	7	,	,	PUNCT
ejpam-3634	591	8	2019	2019	NUM
ejpam-3634	591	9	.	.	PUNCT
ejpam-3634	592	1	[	[	X
ejpam-3634	592	2	7	7	X
ejpam-3634	592	3	]	]	PUNCT
ejpam-3634	592	4	s.	s.	PROPN
ejpam-3634	592	5	a.	a.	PROPN
ejpam-3634	592	6	rusakov	rusakov	PROPN
ejpam-3634	592	7	.	.	PUNCT
ejpam-3634	593	1	algebraic	algebraic	PROPN
ejpam-3634	593	2	n	n	CCONJ
ejpam-3634	593	3	-	-	PUNCT
ejpam-3634	593	4	ary	ary	PROPN
ejpam-3634	593	5	groups	group	NOUN
ejpam-3634	593	6	,	,	PUNCT
ejpam-3634	593	7	sylow	sylow	NOUN
ejpam-3634	593	8	theory	theory	NOUN
ejpam-3634	593	9	of	of	ADP
ejpam-3634	593	10	n	n	CCONJ
ejpam-3634	593	11	-	-	PUNCT
ejpam-3634	593	12	ary	ary	NOUN
ejpam-3634	593	13	groups	group	NOUN
ejpam-3634	593	14	.	.	PUNCT
ejpam-3634	594	1	nauka	nauka	PROPN
ejpam-3634	594	2	i	i	PRON
ejpam-3634	594	3	tekhnika	tekhnika	PROPN
ejpam-3634	594	4	,	,	PUNCT
ejpam-3634	594	5	minsk	minsk	NOUN
ejpam-3634	594	6	,	,	PUNCT
ejpam-3634	594	7	1992	1992	NUM
ejpam-3634	594	8	[	[	X
ejpam-3634	594	9	in	in	ADP
ejpam-3634	594	10	russian	russian	PROPN
ejpam-3634	594	11	]	]	PUNCT
ejpam-3634	594	12	.	.	PUNCT
ejpam-3634	595	1	[	[	X
ejpam-3634	595	2	8	8	X
ejpam-3634	595	3	]	]	PUNCT
ejpam-3634	595	4	s.	s.	PROPN
ejpam-3634	595	5	z.	z.	PROPN
ejpam-3634	595	6	song	song	PROPN
ejpam-3634	595	7	,	,	PUNCT
ejpam-3634	595	8	f.	f.	PROPN
ejpam-3634	595	9	smarandache	smarandache	PROPN
ejpam-3634	595	10	,	,	PUNCT
ejpam-3634	595	11	and	and	CCONJ
ejpam-3634	595	12	y.	y.	PROPN
ejpam-3634	595	13	b.	b.	PROPN
ejpam-3634	595	14	jun	jun	PROPN
ejpam-3634	595	15	.	.	PROPN
ejpam-3634	595	16	neutrosophic	neutrosophic	PROPN
ejpam-3634	595	17	commutative	commutative	ADJ
ejpam-3634	595	18	n	n	PRON
ejpam-3634	595	19	-ideals	-ideal	NOUN
ejpam-3634	595	20	in	in	ADP
ejpam-3634	595	21	bck	bck	NOUN
ejpam-3634	595	22	-	-	PUNCT
ejpam-3634	595	23	algebras	algebras	PROPN
ejpam-3634	595	24	.	.	PUNCT
ejpam-3634	596	1	information	information	NOUN
ejpam-3634	596	2	,	,	PUNCT
ejpam-3634	596	3	8(130):1–9	8(130):1–9	NUM
ejpam-3634	596	4	,	,	PUNCT
ejpam-3634	596	5	2017	2017	NUM
ejpam-3634	596	6	.	.	PUNCT
ejpam-3634	597	1	[	[	X
ejpam-3634	597	2	9	9	NUM
ejpam-3634	597	3	]	]	PUNCT
ejpam-3634	597	4	f.	f.	PROPN
ejpam-3634	597	5	smarandache	smarandache	PROPN
ejpam-3634	597	6	.	.	PUNCT
ejpam-3634	598	1	a	a	DET
ejpam-3634	598	2	unifying	unifying	ADJ
ejpam-3634	598	3	field	field	NOUN
ejpam-3634	598	4	in	in	ADP
ejpam-3634	598	5	logics	logic	NOUN
ejpam-3634	598	6	:	:	PUNCT
ejpam-3634	598	7	neutrosophic	neutrosophic	ADJ
ejpam-3634	598	8	logic	logic	NOUN
ejpam-3634	598	9	,	,	PUNCT
ejpam-3634	598	10	neutrosophy	neutrosophy	NOUN
ejpam-3634	598	11	,	,	PUNCT
ejpam-3634	598	12	neutrosophic	neutrosophic	ADJ
ejpam-3634	598	13	set	set	NOUN
ejpam-3634	598	14	,	,	PUNCT
ejpam-3634	598	15	neutrosophic	neutrosophic	ADJ
ejpam-3634	598	16	probability	probability	NOUN
ejpam-3634	598	17	.	.	PUNCT
ejpam-3634	599	1	american	american	PROPN
ejpam-3634	599	2	research	research	PROPN
ejpam-3634	599	3	press	press	PROPN
ejpam-3634	599	4	,	,	PUNCT
ejpam-3634	599	5	rehoboth	rehoboth	NOUN
ejpam-3634	599	6	,	,	PUNCT
ejpam-3634	599	7	1999	1999	NUM
ejpam-3634	599	8	.	.	PUNCT
ejpam-3634	600	1	[	[	X
ejpam-3634	600	2	10	10	NUM
ejpam-3634	600	3	]	]	X
ejpam-3634	600	4	y.	y.	PROPN
ejpam-3634	600	5	b.	b.	PROPN
ejpam-3634	600	6	jun	jun	PROPN
ejpam-3634	600	7	,	,	PUNCT
ejpam-3634	600	8	f.	f.	PROPN
ejpam-3634	600	9	smarandache	smarandache	PROPN
ejpam-3634	600	10	,	,	PUNCT
ejpam-3634	600	11	and	and	CCONJ
ejpam-3634	600	12	h.	h.	PROPN
ejpam-3634	600	13	bordbar	bordbar	PROPN
ejpam-3634	600	14	.	.	PUNCT
ejpam-3634	601	1	neutrosophic	neutrosophic	PROPN
ejpam-3634	601	2	n	n	PRON
ejpam-3634	601	3	-structures	-structure	NOUN
ejpam-3634	601	4	applied	apply	VERB
ejpam-3634	601	5	to	to	PART
ejpam-3634	601	6	bck	bck	VERB
ejpam-3634	601	7	/	/	SYM
ejpam-3634	601	8	bci	bci	NOUN
ejpam-3634	601	9	-	-	PUNCT
ejpam-3634	601	10	algebras	algebra	NOUN
ejpam-3634	601	11	.	.	PUNCT
ejpam-3634	602	1	information	information	NOUN
ejpam-3634	602	2	,	,	PUNCT
ejpam-3634	602	3	8(128):1–12	8(128):1–12	NUM
ejpam-3634	602	4	,	,	PUNCT
ejpam-3634	602	5	2017	2017	NUM
ejpam-3634	602	6	.	.	PUNCT
ejpam-3634	603	1	[	[	X
ejpam-3634	603	2	11	11	NUM
ejpam-3634	603	3	]	]	X
ejpam-3634	603	4	y.	y.	PROPN
ejpam-3634	603	5	b.	b.	PROPN
ejpam-3634	603	6	jun	jun	PROPN
ejpam-3634	603	7	,	,	PUNCT
ejpam-3634	603	8	k.	k.	PROPN
ejpam-3634	603	9	j.	j.	PROPN
ejpam-3634	603	10	lee	lee	PROPN
ejpam-3634	603	11	,	,	PUNCT
ejpam-3634	603	12	and	and	CCONJ
ejpam-3634	603	13	s.	s.	PROPN
ejpam-3634	603	14	z.	z.	PROPN
ejpam-3634	603	15	song	song	PROPN
ejpam-3634	603	16	.	.	PUNCT
ejpam-3634	604	1	n	n	PRON
ejpam-3634	604	2	-ideals	-ideal	NOUN
ejpam-3634	604	3	of	of	ADP
ejpam-3634	604	4	bck	bck	PROPN
ejpam-3634	604	5	/	/	SYM
ejpam-3634	604	6	bci	bci	NOUN
ejpam-3634	604	7	-	-	PUNCT
ejpam-3634	604	8	algebras	algebras	X
ejpam-3634	604	9	.	.	PUNCT
ejpam-3634	605	1	j.	j.	PROPN
ejpam-3634	605	2	chungcheong	chungcheong	PROPN
ejpam-3634	605	3	math	math	PROPN
ejpam-3634	605	4	.	.	PUNCT
ejpam-3634	606	1	soc	soc	PROPN
ejpam-3634	606	2	.	.	PUNCT
ejpam-3634	606	3	,	,	PUNCT
ejpam-3634	606	4	22(3):417–437	22(3):417–437	NUM
ejpam-3634	606	5	,	,	PUNCT
ejpam-3634	606	6	2009	2009	NUM
ejpam-3634	606	7	.	.	PUNCT
ejpam-3634	607	1	[	[	X
ejpam-3634	607	2	12	12	NUM
ejpam-3634	607	3	]	]	PUNCT
ejpam-3634	607	4	l.	l.	PROPN
ejpam-3634	607	5	a.	a.	PROPN
ejpam-3634	607	6	zadeh	zadeh	PROPN
ejpam-3634	607	7	.	.	PUNCT
ejpam-3634	607	8	fuzzy	fuzzy	ADJ
ejpam-3634	607	9	sets	set	NOUN
ejpam-3634	607	10	.	.	PUNCT
ejpam-3634	608	1	inf	inf	PROPN
ejpam-3634	608	2	.	.	PUNCT
ejpam-3634	608	3	control	control	PROPN
ejpam-3634	608	4	,	,	PUNCT
ejpam-3634	608	5	8(3):338–353	8(3):338–353	NUM
ejpam-3634	608	6	,	,	PUNCT
ejpam-3634	608	7	1965	1965	NUM
ejpam-3634	608	8	.	.	PUNCT