id	sid	tid	token	lemma	pos
iajs-2702	1	1	45	45	NUM
iajs-2702	1	2	some	some	DET
iajs-2702	1	3	games	game	NOUN
iajs-2702	1	4	with	with	ADP
iajs-2702	1	5	soft	soft	ADJ
iajs-2702	1	6	-ᶅ	-ᶅ	NOUN
iajs-2702	1	7	-	-	PUNCT
iajs-2702	1	8	pre	pre	ADJ
iajs-2702	1	9	-	-	ADJ
iajs-2702	1	10	generalized	generalized	ADJ
iajs-2702	1	11	open	open	ADJ
iajs-2702	1	12	sets	set	NOUN
iajs-2702	1	13	hammood	hammood	PROPN
iajs-2702	1	14	a.a	a.a	PROPN
iajs-2702	1	15	.	.	PROPN
iajs-2702	1	16	esmaeel	esmaeel	PROPN
iajs-2702	1	17	r.b	r.b	PROPN
iajs-2702	1	18	.	.	PROPN
iajs-2702	1	19	department	department	PROPN
iajs-2702	1	20	of	of	ADP
iajs-2702	1	21	mathematics	mathematics	PROPN
iajs-2702	1	22	,	,	PUNCT
iajs-2702	1	23	college	college	NOUN
iajs-2702	1	24	of	of	ADP
iajs-2702	1	25	education	education	NOUN
iajs-2702	1	26	for	for	ADP
iajs-2702	1	27	pure	pure	ADJ
iajs-2702	1	28	science	science	NOUN
iajs-2702	1	29	(	(	PUNCT
iajs-2702	1	30	ibn	ibn	PROPN
iajs-2702	1	31	al	al	PROPN
iajs-2702	1	32	-	-	PUNCT
iajs-2702	1	33	haitham	haitham	PROPN
iajs-2702	1	34	)	)	PUNCT
iajs-2702	1	35	,	,	PUNCT
iajs-2702	1	36	university	university	NOUN
iajs-2702	1	37	of	of	ADP
iajs-2702	1	38	baghdad	baghdad	PROPN
iajs-2702	1	39	,	,	PUNCT
iajs-2702	1	40	iraq	iraq	PROPN
iajs-2702	1	41	.	.	PUNCT
iajs-2702	2	1	abd.ali113a@ihcoedu.uobaghdad.edu.iq	abd.ali113a@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-2702	2	2	ranamumosa@yahoo.com	ranamumosa@yahoo.com	X
iajs-2702	2	3	abstract	abstract	ADJ
iajs-2702	2	4	in	in	ADP
iajs-2702	2	5	this	this	DET
iajs-2702	2	6	paper	paper	NOUN
iajs-2702	2	7	,	,	PUNCT
iajs-2702	2	8	the	the	DET
iajs-2702	2	9	concept	concept	NOUN
iajs-2702	2	10	of	of	ADP
iajs-2702	2	11	soft	soft	ADJ
iajs-2702	2	12	closed	closed	ADJ
iajs-2702	2	13	groups	group	NOUN
iajs-2702	2	14	is	be	AUX
iajs-2702	2	15	presented	present	VERB
iajs-2702	2	16	using	use	VERB
iajs-2702	2	17	the	the	DET
iajs-2702	2	18	soft	soft	ADJ
iajs-2702	2	19	ideal	ideal	NOUN
iajs-2702	2	20	pregeneralized	pregeneralize	VERB
iajs-2702	2	21	open	open	ADJ
iajs-2702	2	22	and	and	CCONJ
iajs-2702	2	23	soft	soft	ADJ
iajs-2702	2	24	pre	pre	ADJ
iajs-2702	2	25	-	-	ADJ
iajs-2702	2	26	open	open	ADJ
iajs-2702	2	27	,	,	PUNCT
iajs-2702	2	28	which	which	PRON
iajs-2702	2	29	are	be	AUX
iajs-2702	2	30	𝑠𝑜𝑓𝑡-ᶅ-𝑝𝑟𝑒-𝑔-closed	𝑠𝑜𝑓𝑡-ᶅ-𝑝𝑟𝑒-𝑔-close	VERB
iajs-2702	2	31	sets	set	NOUN
iajs-2702	2	32	"	"	PUNCT
iajs-2702	2	33	𝑠ᶅ𝑝𝑔-closed	𝑠ᶅ𝑝𝑔-closed	ADJ
iajs-2702	2	34	"	"	PUNCT
iajs-2702	2	35	,	,	PUNCT
iajs-2702	2	36	which	which	PRON
iajs-2702	2	37	illustrating	illustrate	VERB
iajs-2702	2	38	several	several	ADJ
iajs-2702	2	39	characteristics	characteristic	NOUN
iajs-2702	2	40	of	of	ADP
iajs-2702	2	41	these	these	DET
iajs-2702	2	42	groups	group	NOUN
iajs-2702	2	43	.	.	PUNCT
iajs-2702	3	1	we	we	PRON
iajs-2702	3	2	also	also	ADV
iajs-2702	3	3	use	use	VERB
iajs-2702	3	4	some	some	DET
iajs-2702	3	5	games	game	NOUN
iajs-2702	3	6	and	and	CCONJ
iajs-2702	3	7	𝑠𝑜𝑓𝑡	𝑠𝑜𝑓𝑡	ADJ
iajs-2702	3	8	𝑝𝑟𝑒-𝑜𝑝𝑒𝑛	𝑝𝑟𝑒-𝑜𝑝𝑒𝑛	NOUN
iajs-2702	3	9	separation	separation	NOUN
iajs-2702	3	10	axiom	axiom	NOUN
iajs-2702	3	11	,	,	PUNCT
iajs-2702	3	12	such	such	ADJ
iajs-2702	3	13	as	as	ADP
iajs-2702	3	14	şᶃ(ʈ0	şᶃ(ʈ0	NOUN
iajs-2702	3	15	,	,	PUNCT
iajs-2702	3	16	ӽ	ӽ	X
iajs-2702	3	17	,	,	PUNCT
iajs-2702	3	18	ᶅ	ᶅ	NOUN
iajs-2702	3	19	)	)	PUNCT
iajs-2702	3	20	that	that	PRON
iajs-2702	3	21	use	use	VERB
iajs-2702	3	22	many	many	ADJ
iajs-2702	3	23	tables	table	NOUN
iajs-2702	3	24	and	and	CCONJ
iajs-2702	3	25	charts	chart	NOUN
iajs-2702	3	26	to	to	PART
iajs-2702	3	27	illustrate	illustrate	VERB
iajs-2702	3	28	this	this	PRON
iajs-2702	3	29	.	.	PUNCT
iajs-2702	4	1	also	also	ADV
iajs-2702	4	2	,	,	PUNCT
iajs-2702	4	3	we	we	PRON
iajs-2702	4	4	put	put	VERB
iajs-2702	4	5	some	some	DET
iajs-2702	4	6	proposals	proposal	NOUN
iajs-2702	4	7	to	to	PART
iajs-2702	4	8	study	study	VERB
iajs-2702	4	9	the	the	DET
iajs-2702	4	10	relationship	relationship	NOUN
iajs-2702	4	11	between	between	ADP
iajs-2702	4	12	these	these	DET
iajs-2702	4	13	games	game	NOUN
iajs-2702	4	14	and	and	CCONJ
iajs-2702	4	15	give	give	VERB
iajs-2702	4	16	some	some	DET
iajs-2702	4	17	examples	example	NOUN
iajs-2702	4	18	.	.	PUNCT
iajs-2702	5	1	keywords	keyword	NOUN
iajs-2702	5	2	:	:	PUNCT
iajs-2702	5	3	soft	soft	ADJ
iajs-2702	5	4	ideal	ideal	ADJ
iajs-2702	5	5	,	,	PUNCT
iajs-2702	5	6	soft	soft	ADJ
iajs-2702	5	7	-	-	PUNCT
iajs-2702	5	8	ʈ	ʈ	NOUN
iajs-2702	5	9	𝑖	𝑖	PRON
iajs-2702	5	10	-𝑠𝑝𝑎𝑐𝑒	-𝑠𝑝𝑎𝑐𝑒	ADJ
iajs-2702	5	11	,	,	PUNCT
iajs-2702	5	12	soft	soft	ADJ
iajs-2702	5	13	-	-	PUNCT
iajs-2702	5	14	ᶅ-𝑝𝑟𝑒-𝑔-ʈ	ᶅ-𝑝𝑟𝑒-𝑔-ʈ	NOUN
iajs-2702	5	15	𝑖	𝑖	PUNCT
iajs-2702	5	16	-𝑠𝑝𝑎𝑐𝑒	-𝑠𝑝𝑎𝑐𝑒	NOUN
iajs-2702	5	17	,	,	PUNCT
iajs-2702	5	18	şᶃ(ʈ	şᶃ(ʈ	PROPN
iajs-2702	5	19	𝑖	𝑖	SYM
iajs-2702	5	20	,	,	PUNCT
iajs-2702	5	21	ӽ	ӽ	X
iajs-2702	5	22	,	,	PUNCT
iajs-2702	5	23	ᶅ	ᶅ	NOUN
iajs-2702	5	24	)	)	PUNCT
iajs-2702	5	25	.	.	PUNCT
iajs-2702	6	1	where	where	SCONJ
iajs-2702	6	2	i=	i=	PROPN
iajs-2702	6	3	{	{	PUNCT
iajs-2702	6	4	0,1,2	0,1,2	NOUN
iajs-2702	6	5	}	}	PUNCT
iajs-2702	6	6	1.introduction	1.introduction	NUM
iajs-2702	6	7	shaber	shaber	NOUN
iajs-2702	6	8	[	[	X
iajs-2702	6	9	1	1	X
iajs-2702	6	10	]	]	PUNCT
iajs-2702	6	11	established	establish	VERB
iajs-2702	6	12	the	the	DET
iajs-2702	6	13	introduced	introduce	VERB
iajs-2702	6	14	soft	soft	ADJ
iajs-2702	6	15	topological	topological	ADJ
iajs-2702	6	16	space	space	NOUN
iajs-2702	6	17	in	in	ADP
iajs-2702	6	18	2011	2011	NUM
iajs-2702	6	19	.	.	PUNCT
iajs-2702	7	1	through	through	ADP
iajs-2702	7	2	the	the	DET
iajs-2702	7	3	use	use	NOUN
iajs-2702	7	4	of	of	ADP
iajs-2702	7	5	soft	soft	ADJ
iajs-2702	7	6	sets	set	NOUN
iajs-2702	7	7	,	,	PUNCT
iajs-2702	7	8	such	such	ADJ
iajs-2702	7	9	as	as	ADP
iajs-2702	7	10	derived	derived	ADJ
iajs-2702	7	11	sets	set	NOUN
iajs-2702	7	12	,	,	PUNCT
iajs-2702	7	13	compactness	compactness	NOUN
iajs-2702	7	14	,	,	PUNCT
iajs-2702	7	15	separation	separation	NOUN
iajs-2702	7	16	axioms	axiom	NOUN
iajs-2702	7	17	and	and	CCONJ
iajs-2702	7	18	other	other	ADJ
iajs-2702	7	19	characteristics	characteristic	NOUN
iajs-2702	7	20	,	,	PUNCT
iajs-2702	7	21	various	various	ADJ
iajs-2702	7	22	studies	study	NOUN
iajs-2702	7	23	are	be	AUX
iajs-2702	7	24	introduced	introduce	VERB
iajs-2702	7	25	to	to	PART
iajs-2702	7	26	study	study	VERB
iajs-2702	7	27	many	many	ADJ
iajs-2702	7	28	topological	topological	ADJ
iajs-2702	7	29	characteristics	characteristic	NOUN
iajs-2702	7	30	.	.	PUNCT
iajs-2702	8	1	[	[	X
iajs-2702	8	2	2	2	NUM
iajs-2702	8	3	-	-	SYM
iajs-2702	8	4	4	4	NUM
iajs-2702	8	5	]	]	PUNCT
iajs-2702	8	6	.	.	PUNCT
iajs-2702	9	1	in	in	ADP
iajs-2702	9	2	addition	addition	NOUN
iajs-2702	9	3	,	,	PUNCT
iajs-2702	9	4	usesoft	usesoft	ADJ
iajs-2702	9	5	ideals	ideal	NOUN
iajs-2702	9	6	as	as	ADP
iajs-2702	9	7	a	a	DET
iajs-2702	9	8	group	group	NOUN
iajs-2702	9	9	of	of	ADP
iajs-2702	9	10	soft	soft	ADJ
iajs-2702	9	11	sets	set	NOUN
iajs-2702	9	12	to	to	PART
iajs-2702	9	13	study	study	VERB
iajs-2702	9	14	the	the	DET
iajs-2702	9	15	concept	concept	NOUN
iajs-2702	9	16	of	of	ADP
iajs-2702	9	17	soft	soft	ADJ
iajs-2702	9	18	logic	logic	NOUN
iajs-2702	9	19	functions	function	NOUN
iajs-2702	9	20	[	[	X
iajs-2702	9	21	5	5	NUM
iajs-2702	9	22	]	]	PUNCT
iajs-2702	9	23	.	.	PUNCT
iajs-2702	10	1	this	this	PRON
iajs-2702	10	2	is	be	AUX
iajs-2702	10	3	the	the	DET
iajs-2702	10	4	starting	starting	NOUN
iajs-2702	10	5	point	point	NOUN
iajs-2702	10	6	for	for	ADP
iajs-2702	10	7	studying	study	VERB
iajs-2702	10	8	the	the	DET
iajs-2702	10	9	properties	property	NOUN
iajs-2702	10	10	of	of	ADP
iajs-2702	10	11	soft	soft	ADJ
iajs-2702	10	12	ideal	ideal	ADJ
iajs-2702	10	13	topological	topological	ADJ
iajs-2702	10	14	spaces	space	NOUN
iajs-2702	10	15	(	(	PUNCT
iajs-2702	10	16	ӽ	ӽ	NOUN
iajs-2702	10	17	,	,	PUNCT
iajs-2702	10	18	ʈ	ʈ	X
iajs-2702	10	19	,	,	PUNCT
iajs-2702	10	20	ɖ	ɖ	NOUN
iajs-2702	10	21	,	,	PUNCT
iajs-2702	10	22	ᶅ	ᶅ	NOUN
iajs-2702	10	23	)	)	PUNCT
iajs-2702	10	24	,	,	PUNCT
iajs-2702	10	25	and	and	CCONJ
iajs-2702	10	26	defining	define	VERB
iajs-2702	10	27	new	new	ADJ
iajs-2702	10	28	type	type	NOUN
iajs-2702	10	29	of	of	ADP
iajs-2702	10	30	near	near	ADV
iajs-2702	10	31	-	-	PUNCT
iajs-2702	10	32	open	open	ADJ
iajs-2702	10	33	soft	soft	ADJ
iajs-2702	10	34	sets	set	NOUN
iajs-2702	10	35	and	and	CCONJ
iajs-2702	10	36	studies	study	NOUN
iajs-2702	10	37	their	their	PRON
iajs-2702	10	38	properties	property	NOUN
iajs-2702	10	39	as	as	ADP
iajs-2702	10	40	[	[	X
iajs-2702	10	41	6	6	NUM
iajs-2702	10	42	-	-	SYM
iajs-2702	10	43	8	8	NUM
iajs-2702	10	44	]	]	PUNCT
iajs-2702	10	45	.	.	PUNCT
iajs-2702	11	1	in	in	ADP
iajs-2702	11	2	this	this	DET
iajs-2702	11	3	paper	paper	NOUN
iajs-2702	11	4	,	,	PUNCT
iajs-2702	11	5	we	we	PRON
iajs-2702	11	6	will	will	AUX
iajs-2702	11	7	present	present	VERB
iajs-2702	11	8	new	new	ADJ
iajs-2702	11	9	types	type	NOUN
iajs-2702	11	10	of	of	ADP
iajs-2702	11	11	games	game	NOUN
iajs-2702	11	12	şᶃ(ʈ0	şᶃ(ʈ0	PROPN
iajs-2702	11	13	,	,	PUNCT
iajs-2702	11	14	ӽ	ӽ	X
iajs-2702	11	15	,	,	PUNCT
iajs-2702	11	16	ᶅ	ᶅ	NOUN
iajs-2702	11	17	)	)	PUNCT
iajs-2702	11	18	,	,	PUNCT
iajs-2702	11	19	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	11	20	,	,	PUNCT
iajs-2702	11	21	ӽ	ӽ	X
iajs-2702	11	22	,	,	PUNCT
iajs-2702	11	23	ᶅ	ᶅ	NOUN
iajs-2702	11	24	)	)	PUNCT
iajs-2702	11	25	,	,	PUNCT
iajs-2702	11	26	şᶃ(ʈ2	şᶃ(ʈ2	X
iajs-2702	11	27	,	,	PUNCT
iajs-2702	11	28	ӽ	ӽ	X
iajs-2702	11	29	,	,	PUNCT
iajs-2702	11	30	ᶅ	ᶅ	NOUN
iajs-2702	11	31	)	)	PUNCT
iajs-2702	11	32	)	)	PUNCT
iajs-2702	11	33	and	and	CCONJ
iajs-2702	11	34	determine	determine	VERB
iajs-2702	11	35	the	the	DET
iajs-2702	11	36	winning	winning	NOUN
iajs-2702	11	37	and	and	CCONJ
iajs-2702	11	38	losing	lose	VERB
iajs-2702	11	39	strategies	strategy	NOUN
iajs-2702	11	40	for	for	ADP
iajs-2702	11	41	any	any	DET
iajs-2702	11	42	two	two	NUM
iajs-2702	11	43	players	player	NOUN
iajs-2702	11	44	.	.	PUNCT
iajs-2702	12	1	2.preliminaries	2.preliminaries	NUM
iajs-2702	12	2	some	some	DET
iajs-2702	12	3	basic	basic	ADJ
iajs-2702	12	4	of	of	ADP
iajs-2702	12	5	soft	soft	ADJ
iajs-2702	12	6	space	space	NOUN
iajs-2702	12	7	(	(	PUNCT
iajs-2702	12	8	ӽ	ӽ	NOUN
iajs-2702	12	9	,	,	PUNCT
iajs-2702	12	10	ʈ	ʈ	X
iajs-2702	12	11	,	,	PUNCT
iajs-2702	12	12	ɖ	ɖ	X
iajs-2702	12	13	)	)	PUNCT
iajs-2702	12	14	with	with	ADP
iajs-2702	12	15	soft	soft	ADJ
iajs-2702	12	16	ideal	ideal	NOUN
iajs-2702	12	17	are	be	AUX
iajs-2702	12	18	presented	present	VERB
iajs-2702	12	19	.	.	PUNCT
iajs-2702	13	1	definition	definition	NOUN
iajs-2702	13	2	2.1	2.1	NUM
iajs-2702	13	3	:	:	PUNCT
iajs-2702	14	1	[	[	X
iajs-2702	14	2	9	9	NUM
iajs-2702	14	3	]	]	PUNCT
iajs-2702	14	4	let	let	VERB
iajs-2702	14	5	ӽ	ӽ	NOUN
iajs-2702	14	6	≠	≠	PROPN
iajs-2702	14	7	∅	∅	NOUN
iajs-2702	14	8	and	and	CCONJ
iajs-2702	14	9	ɖ	ɖ	X
iajs-2702	14	10	be	be	AUX
iajs-2702	14	11	a	a	DET
iajs-2702	14	12	set	set	NOUN
iajs-2702	14	13	of	of	ADP
iajs-2702	14	14	𝑝𝑎𝑟𝑎𝑚𝑒𝑡𝑒𝑟𝑠	𝑝𝑎𝑟𝑎𝑚𝑒𝑡𝑒𝑟𝑠	PROPN
iajs-2702	14	15	,	,	PUNCT
iajs-2702	14	16	were	be	AUX
iajs-2702	14	17	𝓹(ӽ	𝓹(ӽ	NOUN
iajs-2702	14	18	)	)	PUNCT
iajs-2702	14	19	the	the	DET
iajs-2702	14	20	collection	collection	NOUN
iajs-2702	14	21	of	of	ADP
iajs-2702	14	22	ӽ	ӽ	NOUN
iajs-2702	14	23	and	and	CCONJ
iajs-2702	14	24	𝑃	𝑃	PROPN
iajs-2702	14	25	≠	≠	PROPN
iajs-2702	14	26	∅	∅	NOUN
iajs-2702	14	27	such	such	ADJ
iajs-2702	14	28	that	that	PRON
iajs-2702	14	29	𝑃	𝑃	VERB
iajs-2702	14	30	⊆	⊆	NUM
iajs-2702	14	31	ɖ	ɖ	NOUN
iajs-2702	14	32	.	.	PUNCT
iajs-2702	15	1	(	(	PUNCT
iajs-2702	15	2	f	f	X
iajs-2702	15	3	,	,	PUNCT
iajs-2702	15	4	ɖ	ɖ	X
iajs-2702	15	5	)	)	PUNCT
iajs-2702	15	6	(	(	PUNCT
iajs-2702	15	7	briefly	briefly	ADV
iajs-2702	15	8	fɖ	fɖ	INTJ
iajs-2702	15	9	)	)	PUNCT
iajs-2702	15	10	is	be	AUX
iajs-2702	15	11	a	a	DET
iajs-2702	15	12	soft	soft	ADJ
iajs-2702	15	13	set	set	NOUN
iajs-2702	15	14	over	over	ADP
iajs-2702	15	15	ӽ	ӽ	NOUN
iajs-2702	15	16	whenever	whenever	ADV
iajs-2702	15	17	,	,	PUNCT
iajs-2702	15	18	f	f	PROPN
iajs-2702	15	19	is	be	AUX
iajs-2702	15	20	a	a	DET
iajs-2702	15	21	function	function	NOUN
iajs-2702	15	22	such	such	ADJ
iajs-2702	15	23	that	that	SCONJ
iajs-2702	15	24	𝐹	𝐹	PROPN
iajs-2702	15	25	:	:	PUNCT
iajs-2702	15	26	ɖ	ɖ	X
iajs-2702	15	27	→	→	SYM
iajs-2702	15	28	𝓹(ӽ	𝓹(ӽ	NOUN
iajs-2702	15	29	)	)	PUNCT
iajs-2702	15	30	.	.	PUNCT
iajs-2702	16	1	so	so	ADV
iajs-2702	16	2	,	,	PUNCT
iajs-2702	16	3	fɖ	fɖ	INTJ
iajs-2702	16	4	=	=	SYM
iajs-2702	16	5	{	{	PUNCT
iajs-2702	16	6	f(𝑑	f(𝑑	PROPN
iajs-2702	16	7	):	):	PUNCT
iajs-2702	16	8	𝑑	𝑑	PROPN
iajs-2702	16	9	∈	∈	PROPN
iajs-2702	16	10	𝑃	𝑃	VERB
iajs-2702	16	11	⊆	⊆	NUM
iajs-2702	16	12	ɖ	ɖ	X
iajs-2702	16	13	,	,	PUNCT
iajs-2702	16	14	f	f	PROPN
iajs-2702	17	1	∶	∶	NOUN
iajs-2702	17	2	ɖ	ɖ	X
iajs-2702	17	3	→	→	SYM
iajs-2702	17	4	𝒑(ӽ	𝒑(ӽ	PROPN
iajs-2702	17	5	)	)	PUNCT
iajs-2702	17	6	}	}	PUNCT
iajs-2702	17	7	.	.	PUNCT
iajs-2702	18	1	the	the	DET
iajs-2702	18	2	𝑐𝑜𝑙𝑙𝑒𝑐𝑡𝑖𝑜𝑛	𝑐𝑜𝑙𝑙𝑒𝑐𝑡𝑖𝑜𝑛	NOUN
iajs-2702	18	3	of	of	ADP
iajs-2702	18	4	all	all	DET
iajs-2702	18	5	soft	soft	ADJ
iajs-2702	18	6	sets	set	NOUN
iajs-2702	18	7	is	be	AUX
iajs-2702	18	8	(	(	PUNCT
iajs-2702	18	9	briefly	briefly	ADV
iajs-2702	18	10	şş(ӽ)ɖ	şş(ӽ)ɖ	NOUN
iajs-2702	18	11	)	)	PUNCT
iajs-2702	18	12	.	.	PUNCT
iajs-2702	19	1	ibn	ibn	PROPN
iajs-2702	19	2	al	al	PROPN
iajs-2702	19	3	haitham	haitham	PROPN
iajs-2702	19	4	journal	journal	PROPN
iajs-2702	19	5	for	for	ADP
iajs-2702	19	6	pure	pure	ADJ
iajs-2702	19	7	and	and	CCONJ
iajs-2702	19	8	applied	apply	VERB
iajs-2702	19	9	science	science	NOUN
iajs-2702	19	10	journal	journal	PROPN
iajs-2702	19	11	homepage	homepage	NOUN
iajs-2702	19	12	:	:	PUNCT
iajs-2702	19	13	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	NOUN
iajs-2702	19	14	doi	doi	NOUN
iajs-2702	19	15	:	:	PUNCT
iajs-2702	19	16	10.30526/34.4.2702	10.30526/34.4.2702	NUM
iajs-2702	19	17	article	article	NOUN
iajs-2702	19	18	history	history	NOUN
iajs-2702	19	19	:	:	PUNCT
iajs-2702	19	20	received	receive	VERB
iajs-2702	19	21	29	29	NUM
iajs-2702	19	22	,	,	PUNCT
iajs-2702	19	23	march	march	NOUN
iajs-2702	19	24	,	,	PUNCT
iajs-2702	19	25	2021	2021	NUM
iajs-2702	19	26	,	,	PUNCT
iajs-2702	19	27	accepted	accept	VERB
iajs-2702	19	28	11,april	11,april	NUM
iajs-2702	19	29	,	,	PUNCT
iajs-2702	19	30	2021	2021	NUM
iajs-2702	19	31	,	,	PUNCT
iajs-2702	19	32	published	publish	VERB
iajs-2702	19	33	in	in	ADP
iajs-2702	19	34	october	october	PROPN
iajs-2702	19	35	2021	2021	NUM
iajs-2702	19	36	.	.	PUNCT
iajs-2702	20	1	mailto:abd.ali113a@ihcoedu.uobaghdad.edu.iq	mailto:abd.ali113a@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-2702	20	2	mailto:ranamumosa@yahoo.com	mailto:ranamumosa@yahoo.com	PROPN
iajs-2702	21	1	ibn	ibn	PROPN
iajs-2702	21	2	al	al	PROPN
iajs-2702	21	3	-	-	PUNCT
iajs-2702	21	4	haitham	haitham	PROPN
iajs-2702	21	5	jour	jour	X
iajs-2702	21	6	.	.	PROPN
iajs-2702	21	7	for	for	ADP
iajs-2702	21	8	pure	pure	ADJ
iajs-2702	21	9	&	&	CCONJ
iajs-2702	21	10	appl	appl	PROPN
iajs-2702	21	11	.	.	PUNCT
iajs-2702	22	1	sci	sci	PROPN
iajs-2702	22	2	.	.	PROPN
iajs-2702	23	1	34(4)2021	34(4)2021	NUM
iajs-2702	23	2	46	46	NUM
iajs-2702	23	3	definition	definition	NOUN
iajs-2702	23	4	2.2	2.2	NUM
iajs-2702	23	5	:	:	PUNCT
iajs-2702	24	1	[	[	X
iajs-2702	24	2	9	9	NUM
iajs-2702	24	3	]	]	X
iajs-2702	24	4	let	let	VERB
iajs-2702	24	5	(	(	PUNCT
iajs-2702	24	6	f	f	NOUN
iajs-2702	24	7	,	,	PUNCT
iajs-2702	24	8	ɖ	ɖ	X
iajs-2702	24	9	)	)	PUNCT
iajs-2702	24	10	,	,	PUNCT
iajs-2702	24	11	(	(	PUNCT
iajs-2702	24	12	𝒵	𝒵	PROPN
iajs-2702	24	13	,	,	PUNCT
iajs-2702	24	14	ɖ	ɖ	X
iajs-2702	24	15	)	)	PUNCT
iajs-2702	24	16	∈	∈	PROPN
iajs-2702	24	17	şş(ӽ)ɖ	şş(ӽ)ɖ	PROPN
iajs-2702	24	18	.	.	PUNCT
iajs-2702	25	1	then	then	ADV
iajs-2702	25	2	(	(	PUNCT
iajs-2702	25	3	f	f	X
iajs-2702	25	4	,	,	PUNCT
iajs-2702	25	5	ɖ	ɖ	X
iajs-2702	25	6	)	)	PUNCT
iajs-2702	25	7	is	be	AUX
iajs-2702	25	8	a	a	DET
iajs-2702	25	9	soft	soft	ADJ
iajs-2702	25	10	subset	subset	NOUN
iajs-2702	25	11	of	of	ADP
iajs-2702	25	12	(	(	PUNCT
iajs-2702	25	13	𝒵	𝒵	PROPN
iajs-2702	25	14	,	,	PUNCT
iajs-2702	25	15	ɖ	ɖ	NOUN
iajs-2702	25	16	)	)	PUNCT
iajs-2702	25	17	,	,	PUNCT
iajs-2702	25	18	(	(	PUNCT
iajs-2702	25	19	briefly(f	briefly(f	INTJ
iajs-2702	25	20	,	,	PUNCT
iajs-2702	25	21	ɖ	ɖ	X
iajs-2702	25	22	)	)	PUNCT
iajs-2702	25	23	⊆̃	⊆̃	NOUN
iajs-2702	25	24	(	(	PUNCT
iajs-2702	25	25	𝒵	𝒵	PROPN
iajs-2702	25	26	,	,	PUNCT
iajs-2702	25	27	ɖ	ɖ	NOUN
iajs-2702	25	28	)	)	PUNCT
iajs-2702	25	29	)	)	PUNCT
iajs-2702	25	30	,	,	PUNCT
iajs-2702	25	31	if	if	SCONJ
iajs-2702	25	32	f(d	f(d	NOUN
iajs-2702	25	33	)	)	PUNCT
iajs-2702	25	34	⊆̃	⊆̃	PROPN
iajs-2702	25	35	𝒵(d	𝒵(d	NUM
iajs-2702	25	36	)	)	PUNCT
iajs-2702	25	37	,	,	PUNCT
iajs-2702	25	38	for	for	ADP
iajs-2702	25	39	all	all	DET
iajs-2702	25	40	𝑑	𝑑	PROPN
iajs-2702	25	41	∈	∈	ADJ
iajs-2702	25	42	ɖ	ɖ	X
iajs-2702	25	43	.	.	PUNCT
iajs-2702	26	1	now	now	ADV
iajs-2702	26	2	(	(	PUNCT
iajs-2702	26	3	f	f	X
iajs-2702	26	4	,	,	PUNCT
iajs-2702	26	5	ɖ	ɖ	X
iajs-2702	26	6	)	)	PUNCT
iajs-2702	26	7	is	be	AUX
iajs-2702	26	8	a	a	DET
iajs-2702	26	9	soft	soft	ADJ
iajs-2702	26	10	subset	subset	NOUN
iajs-2702	26	11	of	of	ADP
iajs-2702	26	12	(	(	PUNCT
iajs-2702	26	13	𝒵	𝒵	PROPN
iajs-2702	26	14	,	,	PUNCT
iajs-2702	26	15	ɖ)and	ɖ)and	PROPN
iajs-2702	26	16	(	(	PUNCT
iajs-2702	26	17	𝒵	𝒵	PROPN
iajs-2702	26	18	,	,	PUNCT
iajs-2702	26	19	ɖ	ɖ	X
iajs-2702	26	20	)	)	PUNCT
iajs-2702	26	21	is	be	AUX
iajs-2702	26	22	a	a	DET
iajs-2702	26	23	soft	soft	ADJ
iajs-2702	26	24	super	super	ADJ
iajs-2702	26	25	set	set	NOUN
iajs-2702	26	26	of	of	ADP
iajs-2702	26	27	(	(	PUNCT
iajs-2702	26	28	f	f	PROPN
iajs-2702	26	29	,	,	PUNCT
iajs-2702	26	30	ɖ	ɖ	X
iajs-2702	26	31	)	)	PUNCT
iajs-2702	26	32	,	,	PUNCT
iajs-2702	26	33	(	(	PUNCT
iajs-2702	26	34	f	f	X
iajs-2702	26	35	,	,	PUNCT
iajs-2702	26	36	ɖ	ɖ	X
iajs-2702	26	37	)	)	PUNCT
iajs-2702	26	38	⊆̃	⊆̃	NOUN
iajs-2702	26	39	(	(	PUNCT
iajs-2702	26	40	𝒵	𝒵	PROPN
iajs-2702	26	41	,	,	PUNCT
iajs-2702	26	42	ɖ	ɖ	NOUN
iajs-2702	26	43	)	)	PUNCT
iajs-2702	26	44	.	.	PUNCT
iajs-2702	27	1	definition	definition	NOUN
iajs-2702	27	2	2.3	2.3	NUM
iajs-2702	27	3	:	:	PUNCT
iajs-2702	28	1	[	[	X
iajs-2702	28	2	10	10	NUM
iajs-2702	28	3	]	]	PUNCT
iajs-2702	28	4	the	the	DET
iajs-2702	28	5	complement	complement	NOUN
iajs-2702	28	6	of	of	ADP
iajs-2702	28	7	(	(	PUNCT
iajs-2702	28	8	f	f	PROPN
iajs-2702	28	9	,	,	PUNCT
iajs-2702	28	10	ɖ	ɖ	X
iajs-2702	28	11	)	)	PUNCT
iajs-2702	28	12	(	(	PUNCT
iajs-2702	28	13	briefly	briefly	ADV
iajs-2702	28	14	(	(	PUNCT
iajs-2702	28	15	f	f	X
iajs-2702	28	16	,	,	PUNCT
iajs-2702	28	17	ɖ)′	ɖ)′	PROPN
iajs-2702	28	18	)	)	PUNCT
iajs-2702	28	19	(	(	PUNCT
iajs-2702	28	20	f	f	X
iajs-2702	28	21	,	,	PUNCT
iajs-2702	28	22	ɖ)′	ɖ)′	PROPN
iajs-2702	28	23	=	=	PUNCT
iajs-2702	28	24	(	(	PUNCT
iajs-2702	28	25	f	f	PROPN
iajs-2702	28	26	′	′	NUM
iajs-2702	28	27	,	,	PUNCT
iajs-2702	28	28	ɖ	ɖ	X
iajs-2702	28	29	)	)	PUNCT
iajs-2702	28	30	,	,	PUNCT
iajs-2702	28	31	f	f	PROPN
iajs-2702	28	32	′	′	NOUN
iajs-2702	28	33	:	:	PUNCT
iajs-2702	28	34	ɖ	ɖ	X
iajs-2702	28	35	→	→	SYM
iajs-2702	28	36	𝓹(ӽ	𝓹(ӽ	NOUN
iajs-2702	28	37	)	)	PUNCT
iajs-2702	28	38	is	be	AUX
iajs-2702	28	39	a	a	DET
iajs-2702	28	40	function	function	NOUN
iajs-2702	28	41	such	such	ADJ
iajs-2702	28	42	that	that	SCONJ
iajs-2702	28	43	f	f	PROPN
iajs-2702	28	44	′(d	′(d	NOUN
iajs-2702	28	45	)	)	PUNCT
iajs-2702	28	46	=	=	SYM
iajs-2702	28	47	ӽ	ӽ	NOUN
iajs-2702	28	48	‒	‒	X
iajs-2702	28	49	f(d	f(d	PROPN
iajs-2702	28	50	)	)	PUNCT
iajs-2702	28	51	,	,	PUNCT
iajs-2702	28	52	for	for	ADP
iajs-2702	28	53	all	all	DET
iajs-2702	28	54	𝑑	𝑑	PROPN
iajs-2702	28	55	∈	∈	ADJ
iajs-2702	28	56	ɖ	ɖ	NOUN
iajs-2702	28	57	and	and	CCONJ
iajs-2702	28	58	f	f	PROPN
iajs-2702	28	59	′	′	NUM
iajs-2702	28	60	is	be	AUX
iajs-2702	28	61	namely	namely	ADV
iajs-2702	28	62	the	the	DET
iajs-2702	28	63	soft	soft	ADJ
iajs-2702	28	64	complement	complement	NOUN
iajs-2702	28	65	of	of	ADP
iajs-2702	28	66	f.	f.	PROPN
iajs-2702	28	67	definition	definition	NOUN
iajs-2702	28	68	2.5	2.5	NUM
iajs-2702	28	69	:	:	PUNCT
iajs-2702	29	1	[	[	X
iajs-2702	29	2	1	1	X
iajs-2702	29	3	]	]	PUNCT
iajs-2702	29	4	(	(	PUNCT
iajs-2702	29	5	f	f	X
iajs-2702	29	6	,	,	PUNCT
iajs-2702	29	7	ɖ	ɖ	X
iajs-2702	29	8	)	)	PUNCT
iajs-2702	29	9	𝑖𝑠	𝑖𝑠	CCONJ
iajs-2702	29	10	𝑎	𝑎	DET
iajs-2702	29	11	𝑁𝑈𝐿𝐿	𝑁𝑈𝐿𝐿	PROPN
iajs-2702	29	12	𝑠𝑜𝑓𝑡	𝑠𝑜𝑓𝑡	ADJ
iajs-2702	29	13	𝑠𝑒𝑡	𝑠𝑒𝑡	NOUN
iajs-2702	29	14	(	(	PUNCT
iajs-2702	29	15	briefly	briefly	NOUN
iajs-2702	29	16	∅	∅	NUM
iajs-2702	29	17	̃or	̃or	PROPN
iajs-2702	30	1	øɖ	øɖ	PROPN
iajs-2702	30	2	)	)	PUNCT
iajs-2702	31	1	whenever	whenever	SCONJ
iajs-2702	31	2	,	,	PUNCT
iajs-2702	31	3	∀𝑑	∀𝑑	X
iajs-2702	31	4	∈	∈	PROPN
iajs-2702	31	5	ɖ	ɖ	SYM
iajs-2702	31	6	,	,	PUNCT
iajs-2702	31	7	f(𝑑	f(𝑑	PROPN
iajs-2702	31	8	)	)	PUNCT
iajs-2702	31	9	=	=	SYM
iajs-2702	31	10	ø	ø	X
iajs-2702	31	11	.	.	PUNCT
iajs-2702	31	12	definition	definition	NOUN
iajs-2702	31	13	2.6	2.6	NUM
iajs-2702	31	14	:	:	PUNCT
iajs-2702	32	1	[	[	X
iajs-2702	32	2	1	1	X
iajs-2702	32	3	]	]	PUNCT
iajs-2702	32	4	(	(	PUNCT
iajs-2702	32	5	f	f	X
iajs-2702	32	6	,	,	PUNCT
iajs-2702	32	7	ɖ	ɖ	X
iajs-2702	32	8	)	)	PUNCT
iajs-2702	32	9	𝑖𝑠	𝑖𝑠	NOUN
iajs-2702	32	10	𝑎𝑛	𝑎𝑛	PROPN
iajs-2702	32	11	𝑎𝑏𝑠𝑜𝑙𝑢𝑡𝑒	𝑎𝑏𝑠𝑜𝑙𝑢𝑡𝑒	PROPN
iajs-2702	32	12	𝑠𝑜𝑓𝑡	𝑠𝑜𝑓𝑡	PROPN
iajs-2702	32	13	𝑠𝑒𝑡	𝑠𝑒𝑡	PROPN
iajs-2702	32	14	(	(	PUNCT
iajs-2702	32	15	briefly	briefly	ADV
iajs-2702	32	16	ӽ̃	ӽ̃	PROPN
iajs-2702	32	17	or	or	CCONJ
iajs-2702	32	18	ӽɖ	ӽɖ	PROPN
iajs-2702	32	19	)	)	PUNCT
iajs-2702	32	20	whenever	whenever	ADV
iajs-2702	32	21	,	,	PUNCT
iajs-2702	32	22	∀𝑑	∀𝑑	X
iajs-2702	32	23	∈	∈	PROPN
iajs-2702	32	24	ɖ	ɖ	SYM
iajs-2702	32	25	,	,	PUNCT
iajs-2702	32	26	f(𝑑	f(𝑑	PROPN
iajs-2702	32	27	)	)	PUNCT
iajs-2702	32	28	=	=	PUNCT
iajs-2702	32	29	ӽ.	ӽ.	NOUN
iajs-2702	32	30	definition	definition	NOUN
iajs-2702	32	31	2.7	2.7	NUM
iajs-2702	32	32	:	:	PUNCT
iajs-2702	33	1	[	[	X
iajs-2702	33	2	1	1	X
iajs-2702	33	3	]	]	X
iajs-2702	33	4	𝐿𝑒𝑡	𝐿𝑒𝑡	NOUN
iajs-2702	33	5	ʈ	ʈ	PROPN
iajs-2702	33	6	is	be	AUX
iajs-2702	33	7	the	the	DET
iajs-2702	33	8	set	set	NOUN
iajs-2702	33	9	of	of	ADP
iajs-2702	33	10	soft	soft	ADJ
iajs-2702	33	11	sets	set	NOUN
iajs-2702	33	12	on	on	ADP
iajs-2702	33	13	ӽ	ӽ	NOUN
iajs-2702	33	14	with	with	ADP
iajs-2702	33	15	the	the	DET
iajs-2702	33	16	same	same	ADJ
iajs-2702	33	17	ɖ	ɖ	NOUN
iajs-2702	33	18	,	,	PUNCT
iajs-2702	33	19	then	then	ADV
iajs-2702	33	20	ʈ	ʈ	ADP
iajs-2702	33	21	∈	∈	PROPN
iajs-2702	33	22	şş(ӽ)ɖ	şş(ӽ)ɖ	X
iajs-2702	33	23	is	be	AUX
iajs-2702	33	24	a	a	DET
iajs-2702	33	25	soft	soft	ADJ
iajs-2702	33	26	topology	topology	NOUN
iajs-2702	33	27	on	on	ADP
iajs-2702	33	28	ӽ	ӽ	NOUN
iajs-2702	33	29	if	if	SCONJ
iajs-2702	33	30	;	;	PUNCT
iajs-2702	33	31	i.	i.	PROPN
iajs-2702	33	32	ӽ̃	ӽ̃	PROPN
iajs-2702	33	33	,	,	PUNCT
iajs-2702	33	34	∅̃	∅̃	NOUN
iajs-2702	33	35	∈	∈	PROPN
iajs-2702	33	36	ʈ	ʈ	AUX
iajs-2702	33	37	where	where	SCONJ
iajs-2702	33	38	,	,	PUNCT
iajs-2702	33	39	∅̃(𝑑	∅̃(𝑑	ADJ
iajs-2702	33	40	)	)	PUNCT
iajs-2702	33	41	=	=	SYM
iajs-2702	33	42	ø	ø	PROPN
iajs-2702	33	43	and	and	CCONJ
iajs-2702	33	44	ӽ̃(𝑑	ӽ̃(𝑑	PROPN
iajs-2702	33	45	)	)	PUNCT
iajs-2702	34	1	=	=	SYM
iajs-2702	34	2	ӽ	ӽ	NOUN
iajs-2702	34	3	,	,	PUNCT
iajs-2702	34	4	for	for	ADP
iajs-2702	34	5	each	each	DET
iajs-2702	34	6	𝑑	𝑑	PROPN
iajs-2702	34	7	∈	∈	PROPN
iajs-2702	34	8	ɖ	ɖ	SYM
iajs-2702	34	9	ii	ii	NOUN
iajs-2702	34	10	.	.	PUNCT
iajs-2702	35	1	⋃	⋃	NOUN
iajs-2702	35	2	α∈ʌ	α∈ʌ	NOUN
iajs-2702	35	3	(	(	PUNCT
iajs-2702	35	4	ƞα	ƞα	NOUN
iajs-2702	35	5	,	,	PUNCT
iajs-2702	35	6	ɖ	ɖ	X
iajs-2702	35	7	)	)	PUNCT
iajs-2702	35	8	∈	∈	NOUN
iajs-2702	35	9	ʈ	ʈ	AUX
iajs-2702	35	10	whenever	whenever	ADV
iajs-2702	35	11	,	,	PUNCT
iajs-2702	35	12	(	(	PUNCT
iajs-2702	35	13	ƞα	ƞα	NOUN
iajs-2702	35	14	,	,	PUNCT
iajs-2702	35	15	ɖ	ɖ	X
iajs-2702	35	16	)	)	PUNCT
iajs-2702	35	17	∈	∈	PROPN
iajs-2702	35	18	ʈ	ʈ	ADP
iajs-2702	35	19	∀	∀	NOUN
iajs-2702	35	20	α	α	PRON
iajs-2702	35	21	∈	∈	PROPN
iajs-2702	35	22	ʌ	ʌ	PROPN
iajs-2702	35	23	,	,	PUNCT
iajs-2702	35	24	iii	iii	PROPN
iajs-2702	35	25	.	.	PUNCT
iajs-2702	35	26	(	(	PUNCT
iajs-2702	35	27	(	(	PUNCT
iajs-2702	35	28	f	f	X
iajs-2702	35	29	,	,	PUNCT
iajs-2702	35	30	ɖ	ɖ	X
iajs-2702	35	31	)	)	PUNCT
iajs-2702	35	32	∩	∩	ADJ
iajs-2702	35	33	̃(𝒵	̃(𝒵	PROPN
iajs-2702	35	34	,	,	PUNCT
iajs-2702	35	35	ɖ	ɖ	NOUN
iajs-2702	35	36	)	)	PUNCT
iajs-2702	35	37	)	)	PUNCT
iajs-2702	35	38	∈	∈	PROPN
iajs-2702	36	1	ʈ	ʈ	X
iajs-2702	36	2	for	for	ADP
iajs-2702	36	3	each	each	DET
iajs-2702	36	4	(	(	PUNCT
iajs-2702	36	5	f	f	PROPN
iajs-2702	36	6	,	,	PUNCT
iajs-2702	36	7	ɖ	ɖ	X
iajs-2702	36	8	)	)	PUNCT
iajs-2702	36	9	,	,	PUNCT
iajs-2702	36	10	(	(	PUNCT
iajs-2702	36	11	𝒵	𝒵	PROPN
iajs-2702	36	12	,	,	PUNCT
iajs-2702	36	13	ɖ	ɖ	X
iajs-2702	36	14	)	)	PUNCT
iajs-2702	36	15	∈	∈	PROPN
iajs-2702	36	16	ʈ	ʈ	PROPN
iajs-2702	36	17	.	.	PUNCT
iajs-2702	37	1	the	the	DET
iajs-2702	37	2	triple	triple	ADJ
iajs-2702	37	3	(	(	PUNCT
iajs-2702	37	4	ӽ	ӽ	NOUN
iajs-2702	37	5	,	,	PUNCT
iajs-2702	37	6	ʈ	ʈ	X
iajs-2702	37	7	,	,	PUNCT
iajs-2702	37	8	ɖ	ɖ	X
iajs-2702	37	9	)	)	PUNCT
iajs-2702	37	10	i𝑠	i𝑠	VERB
iajs-2702	37	11	𝑎	𝑎	ADJ
iajs-2702	37	12	𝑠𝑜𝑓𝑡	𝑠𝑜𝑓𝑡	ADJ
iajs-2702	37	13	𝑡𝑜𝑝𝑜𝑙𝑜𝑔𝑖𝑐𝑎𝑙	𝑡𝑜𝑝𝑜𝑙𝑜𝑔𝑖𝑐𝑎𝑙	ADJ
iajs-2702	37	14	𝑠𝑝𝑎ce	𝑠𝑝𝑎ce	NOUN
iajs-2702	37	15	if	if	SCONJ
iajs-2702	37	16	(	(	PUNCT
iajs-2702	37	17	ƞ	ƞ	NOUN
iajs-2702	37	18	,	,	PUNCT
iajs-2702	37	19	ɖ	ɖ	X
iajs-2702	37	20	)	)	PUNCT
iajs-2702	37	21	∈	∈	PROPN
iajs-2702	37	22	ʈ	ʈ	NOUN
iajs-2702	37	23	,	,	PUNCT
iajs-2702	37	24	then	then	ADV
iajs-2702	37	25	(	(	PUNCT
iajs-2702	37	26	ƞ	ƞ	NOUN
iajs-2702	37	27	,	,	PUNCT
iajs-2702	37	28	ɖ	ɖ	X
iajs-2702	37	29	)	)	PUNCT
iajs-2702	37	30	is	be	AUX
iajs-2702	37	31	an	an	DET
iajs-2702	37	32	open	open	ADJ
iajs-2702	37	33	soft	soft	ADJ
iajs-2702	37	34	set	set	NOUN
iajs-2702	37	35	.	.	PUNCT
iajs-2702	38	1	definition	definition	NOUN
iajs-2702	38	2	2.8	2.8	NUM
iajs-2702	38	3	:	:	PUNCT
iajs-2702	39	1	[	[	X
iajs-2702	39	2	11	11	NUM
iajs-2702	39	3	]	]	X
iajs-2702	39	4	let	let	VERB
iajs-2702	39	5	(	(	PUNCT
iajs-2702	39	6	ӽ	ӽ	NOUN
iajs-2702	39	7	,	,	PUNCT
iajs-2702	39	8	ʈ	ʈ	X
iajs-2702	39	9	,	,	PUNCT
iajs-2702	39	10	ɖ	ɖ	X
iajs-2702	39	11	)	)	PUNCT
iajs-2702	39	12	be	be	AUX
iajs-2702	39	13	a	a	DET
iajs-2702	39	14	soft	soft	ADJ
iajs-2702	39	15	topological	topological	ADJ
iajs-2702	39	16	space	space	NOUN
iajs-2702	39	17	.	.	PUNCT
iajs-2702	40	1	a	a	DET
iajs-2702	40	2	soft	soft	ADJ
iajs-2702	40	3	set	set	NOUN
iajs-2702	40	4	(	(	PUNCT
iajs-2702	40	5	f	f	NOUN
iajs-2702	40	6	,	,	PUNCT
iajs-2702	40	7	ɖ	ɖ	X
iajs-2702	40	8	)	)	PUNCT
iajs-2702	40	9	over	over	ADP
iajs-2702	40	10	ӽ	ӽ	PRON
iajs-2702	40	11	is	be	AUX
iajs-2702	40	12	a	a	DET
iajs-2702	40	13	soft	soft	ADJ
iajs-2702	40	14	closed	closed	ADJ
iajs-2702	40	15	set	set	NOUN
iajs-2702	40	16	in	in	ADP
iajs-2702	40	17	ӽ	ӽ	NOUN
iajs-2702	40	18	,	,	PUNCT
iajs-2702	40	19	if	if	SCONJ
iajs-2702	40	20	(	(	PUNCT
iajs-2702	40	21	f	f	X
iajs-2702	40	22	,	,	PUNCT
iajs-2702	40	23	ɖ)′	ɖ)′	PROPN
iajs-2702	40	24	∈	∈	PROPN
iajs-2702	40	25	ʈ	ʈ	PROPN
iajs-2702	40	26	,	,	PUNCT
iajs-2702	40	27	the	the	DET
iajs-2702	40	28	collection	collection	NOUN
iajs-2702	40	29	of	of	ADP
iajs-2702	40	30	each	each	DET
iajs-2702	40	31	𝑠𝑜𝑓𝑡	𝑠𝑜𝑓𝑡	NOUN
iajs-2702	40	32	closed	close	VERB
iajs-2702	40	33	sets	set	NOUN
iajs-2702	40	34	(	(	PUNCT
iajs-2702	40	35	briefly	briefly	NOUN
iajs-2702	40	36	şc	şc	PROPN
iajs-2702	40	37	(	(	PUNCT
iajs-2702	40	38	ӽ	ӽ	X
iajs-2702	40	39	)	)	PUNCT
iajs-2702	40	40	ɖ	ɖ	NOUN
iajs-2702	40	41	)	)	PUNCT
iajs-2702	40	42	.	.	PUNCT
iajs-2702	41	1	definition	definition	NOUN
iajs-2702	41	2	2.9	2.9	NUM
iajs-2702	41	3	:	:	PUNCT
iajs-2702	42	1	[	[	X
iajs-2702	42	2	11	11	NUM
iajs-2702	42	3	]	]	X
iajs-2702	42	4	𝐹𝑜𝑟	𝐹𝑜𝑟	PROPN
iajs-2702	42	5	𝑎𝑛𝑦	𝑎𝑛𝑦	VERB
iajs-2702	42	6	𝑠𝑜𝑓𝑡	𝑠𝑜𝑓𝑡	NOUN
iajs-2702	42	7	space	space	NOUN
iajs-2702	42	8	(	(	PUNCT
iajs-2702	42	9	ӽ	ӽ	NOUN
iajs-2702	42	10	,	,	PUNCT
iajs-2702	42	11	ʈ	ʈ	X
iajs-2702	42	12	,	,	PUNCT
iajs-2702	42	13	ɖ	ɖ	NOUN
iajs-2702	42	14	)	)	PUNCT
iajs-2702	42	15	.	.	PUNCT
iajs-2702	43	1	let	let	VERB
iajs-2702	43	2	(	(	PUNCT
iajs-2702	43	3	f	f	X
iajs-2702	43	4	,	,	PUNCT
iajs-2702	43	5	ɖ)′	ɖ)′	PROPN
iajs-2702	43	6	∈	∈	PROPN
iajs-2702	43	7	şş(ӽ)ɖ	şş(ӽ)ɖ	NOUN
iajs-2702	43	8	,	,	PUNCT
iajs-2702	43	9	then	then	ADV
iajs-2702	43	10	𝑡ℎ𝑒	𝑡ℎ𝑒	X
iajs-2702	43	11	𝑠𝑜𝑓𝑡	𝑠𝑜𝑓𝑡	NOUN
iajs-2702	43	12	𝑐𝑙𝑜𝑠𝑢𝑟𝑒	𝑐𝑙𝑜𝑠𝑢𝑟𝑒	NOUN
iajs-2702	43	13	of	of	ADP
iajs-2702	43	14	(	(	PUNCT
iajs-2702	43	15	f	f	X
iajs-2702	43	16	,	,	PUNCT
iajs-2702	43	17	ɖ)′	ɖ)′	PROPN
iajs-2702	43	18	,	,	PUNCT
iajs-2702	43	19	(	(	PUNCT
iajs-2702	43	20	briefly	briefly	ADV
iajs-2702	43	21	cl(f	cl(f	PROPN
iajs-2702	43	22	,	,	PUNCT
iajs-2702	43	23	ɖ	ɖ	X
iajs-2702	43	24	)	)	PUNCT
iajs-2702	43	25	)	)	PUNCT
iajs-2702	43	26	,	,	PUNCT
iajs-2702	43	27	cl((f	cl((f	VERB
iajs-2702	43	28	,	,	PUNCT
iajs-2702	43	29	ɖ	ɖ	NOUN
iajs-2702	43	30	)	)	PUNCT
iajs-2702	43	31	)	)	PUNCT
iajs-2702	44	1	=	=	SYM
iajs-2702	44	2	∩̃	∩̃	PUNCT
iajs-2702	44	3	{	{	PUNCT
iajs-2702	44	4	(	(	PUNCT
iajs-2702	44	5	ℳ	ℳ	PROPN
iajs-2702	44	6	,	,	PUNCT
iajs-2702	44	7	ɖ	ɖ	X
iajs-2702	44	8	)	)	PUNCT
iajs-2702	44	9	∶	∶	NOUN
iajs-2702	44	10	(	(	PUNCT
iajs-2702	44	11	ℳ	ℳ	PROPN
iajs-2702	44	12	,	,	PUNCT
iajs-2702	44	13	ɖ	ɖ	X
iajs-2702	44	14	)	)	PUNCT
iajs-2702	44	15	∈	∈	PROPN
iajs-2702	44	16	şc(ӽ)ɖ	şc(ӽ)ɖ	PROPN
iajs-2702	44	17	,	,	PUNCT
iajs-2702	44	18	(	(	PUNCT
iajs-2702	44	19	f	f	X
iajs-2702	44	20	,	,	PUNCT
iajs-2702	44	21	ɖ	ɖ	X
iajs-2702	44	22	)	)	PUNCT
iajs-2702	44	23	⊆̃	⊆̃	PROPN
iajs-2702	44	24	(	(	PUNCT
iajs-2702	44	25	ℳ	ℳ	PROPN
iajs-2702	44	26	,	,	PUNCT
iajs-2702	44	27	ɖ	ɖ	NOUN
iajs-2702	44	28	)	)	PUNCT
iajs-2702	44	29	}	}	PUNCT
iajs-2702	44	30	.	.	PUNCT
iajs-2702	45	1	definition	definition	NOUN
iajs-2702	45	2	2.10	2.10	NUM
iajs-2702	45	3	:	:	PUNCT
iajs-2702	46	1	[	[	X
iajs-2702	46	2	11	11	NUM
iajs-2702	46	3	]	]	PUNCT
iajs-2702	46	4	for	for	ADP
iajs-2702	46	5	any	any	DET
iajs-2702	46	6	(	(	PUNCT
iajs-2702	46	7	ӽ	ӽ	NOUN
iajs-2702	46	8	,	,	PUNCT
iajs-2702	46	9	ʈ	ʈ	X
iajs-2702	46	10	,	,	PUNCT
iajs-2702	46	11	ɖ	ɖ	NOUN
iajs-2702	46	12	)	)	PUNCT
iajs-2702	46	13	.	.	PUNCT
iajs-2702	47	1	let	let	VERB
iajs-2702	47	2	(	(	PUNCT
iajs-2702	47	3	f	f	X
iajs-2702	47	4	,	,	PUNCT
iajs-2702	47	5	ɖ	ɖ	X
iajs-2702	47	6	)	)	PUNCT
iajs-2702	47	7	∈	∈	PROPN
iajs-2702	47	8	şş(ӽ)ɖ,𝑡ℎ𝑒𝑛	şş(ӽ)ɖ,𝑡ℎ𝑒𝑛	PROPN
iajs-2702	47	9	𝑡ℎ𝑒	𝑡ℎ𝑒	NOUN
iajs-2702	47	10	𝑠𝑜𝑓𝑡	𝑠𝑜𝑓𝑡	NOUN
iajs-2702	47	11	𝑖𝑛𝑡𝑒𝑟𝑖𝑜𝑟	𝑖𝑛𝑡𝑒𝑟𝑖𝑜𝑟	NOUN
iajs-2702	47	12	of	of	ADP
iajs-2702	47	13	(	(	PUNCT
iajs-2702	47	14	𝒵	𝒵	PROPN
iajs-2702	47	15	,	,	PUNCT
iajs-2702	47	16	ɖ	ɖ	NOUN
iajs-2702	47	17	)	)	PUNCT
iajs-2702	47	18	,	,	PUNCT
iajs-2702	47	19	(	(	PUNCT
iajs-2702	47	20	briefly	briefly	ADV
iajs-2702	47	21	int(𝒵	int(𝒵	NUM
iajs-2702	47	22	,	,	PUNCT
iajs-2702	47	23	ɖ	ɖ	NOUN
iajs-2702	47	24	)	)	PUNCT
iajs-2702	47	25	)	)	PUNCT
iajs-2702	47	26	,	,	PUNCT
iajs-2702	47	27	int(𝒵	int(𝒵	X
iajs-2702	47	28	,	,	PUNCT
iajs-2702	47	29	ɖ	ɖ	X
iajs-2702	47	30	)	)	PUNCT
iajs-2702	47	31	=	=	SYM
iajs-2702	47	32	∪̃	∪̃	PROPN
iajs-2702	47	33	{	{	PUNCT
iajs-2702	47	34	(	(	PUNCT
iajs-2702	47	35	ℳ	ℳ	PROPN
iajs-2702	47	36	,	,	PUNCT
iajs-2702	47	37	ɖ	ɖ	X
iajs-2702	47	38	)	)	PUNCT
iajs-2702	47	39	∶	∶	NOUN
iajs-2702	47	40	(	(	PUNCT
iajs-2702	47	41	ℳ	ℳ	PROPN
iajs-2702	47	42	,	,	PUNCT
iajs-2702	47	43	ɖ	ɖ	X
iajs-2702	47	44	)	)	PUNCT
iajs-2702	47	45	∈	∈	PROPN
iajs-2702	47	46	ʈ	ʈ	X
iajs-2702	47	47	,	,	PUNCT
iajs-2702	47	48	(	(	PUNCT
iajs-2702	47	49	ℳ	ℳ	PROPN
iajs-2702	47	50	,	,	PUNCT
iajs-2702	47	51	ɖ	ɖ	NOUN
iajs-2702	47	52	)	)	PUNCT
iajs-2702	47	53	⊆̃	⊆̃	NOUN
iajs-2702	47	54	(	(	PUNCT
iajs-2702	47	55	𝒵	𝒵	PROPN
iajs-2702	47	56	,	,	PUNCT
iajs-2702	47	57	ɖ	ɖ	NOUN
iajs-2702	47	58	)	)	PUNCT
iajs-2702	47	59	}	}	PUNCT
iajs-2702	47	60	.	.	PUNCT
iajs-2702	48	1	definition	definition	NOUN
iajs-2702	48	2	2.11	2.11	NUM
iajs-2702	48	3	:	:	PUNCT
iajs-2702	49	1	[	[	X
iajs-2702	49	2	5	5	X
iajs-2702	49	3	]	]	X
iajs-2702	49	4	𝐿𝑒𝑡	𝐿𝑒𝑡	PROPN
iajs-2702	49	5	ᶅ≠	ᶅ≠	ADJ
iajs-2702	49	6	∅	∅	NOUN
iajs-2702	49	7	,	,	PUNCT
iajs-2702	49	8	𝑡ℎ𝑒𝑛	𝑡ℎ𝑒𝑛	VERB
iajs-2702	49	9	ᶅ	ᶅ	X
iajs-2702	49	10	⊆̃	⊆̃	VERB
iajs-2702	49	11	şş	şş	PRON
iajs-2702	49	12	(	(	PUNCT
iajs-2702	49	13	ӽ	ӽ	X
iajs-2702	49	14	)	)	PUNCT
iajs-2702	49	15	ɖ	ɖ	X
iajs-2702	49	16	is	be	AUX
iajs-2702	49	17	a	a	DET
iajs-2702	49	18	soft	soft	ADJ
iajs-2702	49	19	ideal	ideal	NOUN
iajs-2702	49	20	whenever	whenever	ADV
iajs-2702	49	21	,	,	PUNCT
iajs-2702	49	22	i.	i.	PROPN
iajs-2702	49	23	if	if	SCONJ
iajs-2702	49	24	(	(	PUNCT
iajs-2702	49	25	f	f	X
iajs-2702	49	26	,	,	PUNCT
iajs-2702	49	27	ɖ	ɖ	X
iajs-2702	49	28	)	)	PUNCT
iajs-2702	49	29	∈̃	∈̃	PROPN
iajs-2702	49	30	ᶅ	ᶅ	X
iajs-2702	49	31	and	and	CCONJ
iajs-2702	49	32	(	(	PUNCT
iajs-2702	49	33	𝒵	𝒵	PROPN
iajs-2702	49	34	,	,	PUNCT
iajs-2702	49	35	ɖ	ɖ	X
iajs-2702	49	36	)	)	PUNCT
iajs-2702	49	37	∈̃	∈̃	PROPN
iajs-2702	49	38	ᶅ	ᶅ	PROPN
iajs-2702	49	39	implies	imply	VERB
iajs-2702	49	40	,	,	PUNCT
iajs-2702	49	41	(	(	PUNCT
iajs-2702	49	42	f	f	X
iajs-2702	49	43	,	,	PUNCT
iajs-2702	49	44	ɖ	ɖ	X
iajs-2702	49	45	)	)	PUNCT
iajs-2702	49	46	∪̃	∪̃	PROPN
iajs-2702	49	47	(	(	PUNCT
iajs-2702	49	48	𝒵	𝒵	PROPN
iajs-2702	49	49	,	,	PUNCT
iajs-2702	49	50	ɖ	ɖ	X
iajs-2702	49	51	)	)	PUNCT
iajs-2702	49	52	∈̃	∈̃	PROPN
iajs-2702	49	53	ᶅ	ᶅ	PROPN
iajs-2702	49	54	.	.	PUNCT
iajs-2702	49	55	ii	ii	PROPN
iajs-2702	49	56	.	.	PUNCT
iajs-2702	50	1	if	if	SCONJ
iajs-2702	50	2	(	(	PUNCT
iajs-2702	50	3	f	f	X
iajs-2702	50	4	,	,	PUNCT
iajs-2702	50	5	ɖ	ɖ	X
iajs-2702	50	6	)	)	PUNCT
iajs-2702	50	7	∈̃	∈̃	PROPN
iajs-2702	50	8	ᶅ	ᶅ	X
iajs-2702	50	9	and	and	CCONJ
iajs-2702	50	10	(	(	PUNCT
iajs-2702	50	11	𝒵	𝒵	PROPN
iajs-2702	50	12	,	,	PUNCT
iajs-2702	50	13	ɖ	ɖ	X
iajs-2702	50	14	)	)	PUNCT
iajs-2702	50	15	⊆̃	⊆̃	PROPN
iajs-2702	50	16	(	(	PUNCT
iajs-2702	50	17	f	f	NUM
iajs-2702	50	18	,	,	PUNCT
iajs-2702	50	19	ɖ	ɖ	X
iajs-2702	50	20	)	)	PUNCT
iajs-2702	50	21	implies	imply	VERB
iajs-2702	50	22	,	,	PUNCT
iajs-2702	50	23	(	(	PUNCT
iajs-2702	50	24	𝒵	𝒵	PROPN
iajs-2702	50	25	,	,	PUNCT
iajs-2702	50	26	ɖ	ɖ	X
iajs-2702	50	27	)	)	PUNCT
iajs-2702	50	28	∈	∈	PROPN
iajs-2702	50	29	̃	̃	PROPN
iajs-2702	50	30	ᶅ	ᶅ	NOUN
iajs-2702	50	31	.	.	PUNCT
iajs-2702	51	1	any	any	DET
iajs-2702	51	2	(	(	PUNCT
iajs-2702	51	3	ӽ,ʈ	ӽ,ʈ	ADJ
iajs-2702	51	4	,	,	PUNCT
iajs-2702	51	5	ɖ	ɖ	NOUN
iajs-2702	51	6	)	)	PUNCT
iajs-2702	51	7	with	with	ADP
iajs-2702	51	8	a	a	DET
iajs-2702	51	9	soft	soft	ADJ
iajs-2702	51	10	ideal	ideal	ADJ
iajs-2702	51	11	ᶅis	ᶅis	NOUN
iajs-2702	51	12	a	a	DET
iajs-2702	51	13	soft	soft	ADJ
iajs-2702	51	14	ideal	ideal	ADJ
iajs-2702	51	15	topological	topological	ADJ
iajs-2702	51	16	space	space	NOUN
iajs-2702	51	17	(	(	PUNCT
iajs-2702	51	18	briefly	briefly	ADV
iajs-2702	51	19	(	(	PUNCT
iajs-2702	51	20	ӽ,ʈ	ӽ,ʈ	ADJ
iajs-2702	51	21	,	,	PUNCT
iajs-2702	51	22	ɖ	ɖ	NOUN
iajs-2702	51	23	,	,	PUNCT
iajs-2702	51	24	ᶅ	ᶅ	NOUN
iajs-2702	51	25	)	)	PUNCT
iajs-2702	51	26	)	)	PUNCT
iajs-2702	51	27	.	.	PUNCT
iajs-2702	52	1	definition	definition	NOUN
iajs-2702	52	2	2.12	2.12	NUM
iajs-2702	52	3	:	:	PUNCT
iajs-2702	53	1	[	[	X
iajs-2702	53	2	5	5	X
iajs-2702	53	3	]	]	PUNCT
iajs-2702	53	4	the	the	DET
iajs-2702	53	5	space	space	NOUN
iajs-2702	53	6	(	(	PUNCT
iajs-2702	53	7	ӽ	ӽ	NOUN
iajs-2702	53	8	,	,	PUNCT
iajs-2702	53	9	ʈ	ʈ	X
iajs-2702	53	10	,	,	PUNCT
iajs-2702	53	11	ɖ	ɖ	X
iajs-2702	53	12	)	)	PUNCT
iajs-2702	53	13	with	with	ADP
iajs-2702	53	14	a	a	DET
iajs-2702	53	15	soft	soft	ADJ
iajs-2702	53	16	ideal	ideal	NOUN
iajs-2702	53	17	ᶅ	ᶅ	X
iajs-2702	53	18	can	can	AUX
iajs-2702	53	19	be	be	AUX
iajs-2702	53	20	defined	define	VERB
iajs-2702	53	21	as	as	ADP
iajs-2702	53	22	(	(	PUNCT
iajs-2702	53	23	ӽ,ʈ	ӽ,ʈ	ADJ
iajs-2702	53	24	,	,	PUNCT
iajs-2702	53	25	ɖ	ɖ	NOUN
iajs-2702	53	26	,	,	PUNCT
iajs-2702	53	27	ᶅ	ᶅ	NOUN
iajs-2702	53	28	)	)	PUNCT
iajs-2702	53	29	a	a	DET
iajs-2702	53	30	soft	soft	ADJ
iajs-2702	53	31	topological	topological	ADJ
iajs-2702	53	32	space	space	NOUN
iajs-2702	53	33	.	.	PUNCT
iajs-2702	54	1	definition	definition	NOUN
iajs-2702	54	2	2.13	2.13	NUM
iajs-2702	54	3	:	:	PUNCT
iajs-2702	55	1	[	[	X
iajs-2702	55	2	12	12	NUM
iajs-2702	55	3	]	]	PUNCT
iajs-2702	55	4	for	for	ADP
iajs-2702	55	5	any	any	DET
iajs-2702	55	6	(	(	PUNCT
iajs-2702	55	7	ӽ	ӽ	NOUN
iajs-2702	55	8	,	,	PUNCT
iajs-2702	55	9	ʈ	ʈ	X
iajs-2702	55	10	,	,	PUNCT
iajs-2702	55	11	ɖ	ɖ	X
iajs-2702	55	12	)	)	PUNCT
iajs-2702	55	13	,	,	PUNCT
iajs-2702	55	14	then	then	ADV
iajs-2702	55	15	(	(	PUNCT
iajs-2702	55	16	f	f	X
iajs-2702	55	17	,	,	PUNCT
iajs-2702	55	18	ɖ	ɖ	X
iajs-2702	55	19	)	)	PUNCT
iajs-2702	55	20	is	be	AUX
iajs-2702	55	21	a	a	DET
iajs-2702	55	22	𝑠𝑜𝑓𝑡	𝑠𝑜𝑓𝑡	ADJ
iajs-2702	55	23	𝑝𝑟𝑒-open	𝑝𝑟𝑒-open	ADJ
iajs-2702	55	24	set	set	NOUN
iajs-2702	55	25	(	(	PUNCT
iajs-2702	55	26	briefly	briefly	ADV
iajs-2702	55	27	ş𝑝-open	ş𝑝-open	PROPN
iajs-2702	55	28	set	set	VERB
iajs-2702	55	29	if	if	SCONJ
iajs-2702	55	30	(	(	PUNCT
iajs-2702	55	31	f	f	X
iajs-2702	55	32	,	,	PUNCT
iajs-2702	55	33	ɖ	ɖ	X
iajs-2702	55	34	)	)	PUNCT
iajs-2702	55	35	⊆̃	⊆̃	PROPN
iajs-2702	55	36	int(cl(f	int(cl(f	PROPN
iajs-2702	55	37	,	,	PUNCT
iajs-2702	55	38	ɖ	ɖ	NOUN
iajs-2702	55	39	)	)	PUNCT
iajs-2702	55	40	)	)	PUNCT
iajs-2702	55	41	.	.	PUNCT
iajs-2702	56	1	a	a	DET
iajs-2702	56	2	𝑠𝑜𝑓𝑡	𝑠𝑜𝑓𝑡	NOUN
iajs-2702	56	3	𝑝𝑟𝑒-closed	𝑝𝑟𝑒-close	VERB
iajs-2702	56	4	set	set	NOUN
iajs-2702	56	5	(	(	PUNCT
iajs-2702	56	6	briefly	briefly	ADV
iajs-2702	56	7	(	(	PUNCT
iajs-2702	56	8	f	f	X
iajs-2702	56	9	,	,	PUNCT
iajs-2702	56	10	ɖ)′).the	ɖ)′).the	DET
iajs-2702	56	11	family	family	NOUN
iajs-2702	56	12	of	of	ADP
iajs-2702	56	13	each	each	DET
iajs-2702	56	14	pre	pre	X
iajs-2702	56	15	𝑠𝑜𝑓𝑡-open	𝑠𝑜𝑓𝑡-open	ADJ
iajs-2702	56	16	sets	set	NOUN
iajs-2702	56	17	in	in	ADP
iajs-2702	56	18	(	(	PUNCT
iajs-2702	56	19	ӽ	ӽ	NOUN
iajs-2702	56	20	,	,	PUNCT
iajs-2702	56	21	ʈ	ʈ	X
iajs-2702	56	22	,	,	PUNCT
iajs-2702	56	23	ɖ	ɖ	X
iajs-2702	56	24	)	)	PUNCT
iajs-2702	56	25	(	(	PUNCT
iajs-2702	56	26	briefly	briefly	NOUN
iajs-2702	56	27	ş𝑝o(ӽ	ş𝑝o(ӽ	PROPN
iajs-2702	56	28	)	)	PUNCT
iajs-2702	56	29	)	)	PUNCT
iajs-2702	56	30	.	.	PUNCT
iajs-2702	57	1	the	the	DET
iajs-2702	57	2	𝑐𝑜𝑙𝑙𝑒𝑐𝑡𝑖𝑜𝑛	𝑐𝑜𝑙𝑙𝑒𝑐𝑡𝑖𝑜𝑛	NOUN
iajs-2702	57	3	of	of	ADP
iajs-2702	57	4	each	each	DET
iajs-2702	57	5	𝑠𝑜𝑓𝑡	𝑠𝑜𝑓𝑡	NOUN
iajs-2702	57	6	𝑝𝑟𝑒-𝑐𝑙𝑜𝑠𝑒𝑑	𝑝𝑟𝑒-𝑐𝑙𝑜𝑠𝑒𝑑	ADJ
iajs-2702	57	7	sets	set	NOUN
iajs-2702	57	8	(	(	PUNCT
iajs-2702	57	9	𝑏𝑟𝑖𝑒𝑓𝑙𝑦	𝑏𝑟𝑖𝑒𝑓𝑙𝑦	NOUN
iajs-2702	57	10	ş𝑝c(ӽ	ş𝑝c(ӽ	NOUN
iajs-2702	57	11	)	)	PUNCT
iajs-2702	57	12	)	)	PUNCT
iajs-2702	57	13	.	.	PUNCT
iajs-2702	58	1	ibn	ibn	PROPN
iajs-2702	58	2	al	al	PROPN
iajs-2702	58	3	-	-	PUNCT
iajs-2702	58	4	haitham	haitham	PROPN
iajs-2702	58	5	jour	jour	X
iajs-2702	58	6	.	.	PROPN
iajs-2702	58	7	for	for	ADP
iajs-2702	58	8	pure	pure	ADJ
iajs-2702	58	9	&	&	CCONJ
iajs-2702	58	10	appl	appl	PROPN
iajs-2702	58	11	.	.	PUNCT
iajs-2702	59	1	sci	sci	PROPN
iajs-2702	59	2	.	.	PROPN
iajs-2702	60	1	34(4)2021	34(4)2021	NUM
iajs-2702	60	2	47	47	NUM
iajs-2702	60	3	definition	definition	NOUN
iajs-2702	60	4	2.14	2.14	NUM
iajs-2702	60	5	:	:	PUNCT
iajs-2702	61	1	[	[	X
iajs-2702	61	2	2	2	NUM
iajs-2702	61	3	]	]	X
iajs-2702	61	4	let	let	VERB
iajs-2702	61	5	(	(	PUNCT
iajs-2702	61	6	ӽ	ӽ	NOUN
iajs-2702	61	7	,	,	PUNCT
iajs-2702	61	8	ʈ	ʈ	X
iajs-2702	61	9	,	,	PUNCT
iajs-2702	61	10	ɖ	ɖ	X
iajs-2702	61	11	)	)	PUNCT
iajs-2702	61	12	be	be	AUX
iajs-2702	61	13	a	a	DET
iajs-2702	61	14	soft	soft	ADJ
iajs-2702	61	15	topological	topological	ADJ
iajs-2702	61	16	space	space	NOUN
iajs-2702	61	17	over	over	ADP
iajs-2702	61	18	ӽ	ӽ	PRON
iajs-2702	61	19	is	be	AUX
iajs-2702	61	20	a	a	DET
iajs-2702	61	21	softʈ0	softʈ0	NOUN
iajs-2702	61	22	-	-	PUNCT
iajs-2702	61	23	space	space	NOUN
iajs-2702	61	24	if	if	SCONJ
iajs-2702	61	25	for	for	ADP
iajs-2702	61	26	all	all	PRON
iajs-2702	61	27	,	,	PUNCT
iajs-2702	61	28	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	61	29	,	,	PUNCT
iajs-2702	61	30	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	61	31	∈̃	∈̃	PROPN
iajs-2702	61	32	ӽ̃	ӽ̃	PROPN
iajs-2702	61	33	such	such	ADJ
iajs-2702	61	34	that	that	PRON
iajs-2702	61	35	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	61	36	≠	≠	PART
iajs-2702	61	37	ᶁ𝓝.	ᶁ𝓝.	NOUN
iajs-2702	61	38	𝐼𝑓	𝐼𝑓	PROPN
iajs-2702	61	39	𝑡ℎ𝑒𝑟𝑒	𝑡ℎ𝑒𝑟𝑒	VERB
iajs-2702	61	40	𝑒𝑥𝑖𝑠𝑡	𝑒𝑥𝑖𝑠𝑡	NOUN
iajs-2702	61	41	𝑠𝑜𝑓𝑡	𝑠𝑜𝑓𝑡	NOUN
iajs-2702	61	42	𝑜𝑝𝑒𝑛	𝑜𝑝𝑒𝑛	NOUN
iajs-2702	61	43	𝑠𝑒𝑡	𝑠𝑒𝑡	PROPN
iajs-2702	61	44	(	(	PUNCT
iajs-2702	61	45	ƞ	ƞ	NOUN
iajs-2702	61	46	,	,	PUNCT
iajs-2702	61	47	ɖ	ɖ	NOUN
iajs-2702	61	48	)	)	PUNCT
iajs-2702	61	49	such	such	ADJ
iajs-2702	61	50	that	that	PRON
iajs-2702	61	51	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	61	52	∈̃	∈̃	PROPN
iajs-2702	61	53	(	(	PUNCT
iajs-2702	61	54	ƞ	ƞ	NOUN
iajs-2702	61	55	,	,	PUNCT
iajs-2702	61	56	ɖ	ɖ	NOUN
iajs-2702	61	57	)	)	PUNCT
iajs-2702	61	58	,	,	PUNCT
iajs-2702	61	59	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	61	60	∉̃	∉̃	ADJ
iajs-2702	61	61	(	(	PUNCT
iajs-2702	61	62	ƞ	ƞ	NOUN
iajs-2702	61	63	,	,	PUNCT
iajs-2702	61	64	ɖ	ɖ	NOUN
iajs-2702	61	65	)	)	PUNCT
iajs-2702	61	66	or	or	CCONJ
iajs-2702	61	67	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	61	68	∉̃	∉̃	NOUN
iajs-2702	61	69	(	(	PUNCT
iajs-2702	61	70	ƞ	ƞ	NOUN
iajs-2702	61	71	,	,	PUNCT
iajs-2702	61	72	ɖ	ɖ	NOUN
iajs-2702	61	73	)	)	PUNCT
iajs-2702	61	74	,	,	PUNCT
iajs-2702	61	75	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	61	76	∈̃	∈̃	PROPN
iajs-2702	61	77	(	(	PUNCT
iajs-2702	61	78	ƞ	ƞ	NOUN
iajs-2702	61	79	,	,	PUNCT
iajs-2702	61	80	ɖ	ɖ	NOUN
iajs-2702	61	81	)	)	PUNCT
iajs-2702	61	82	.	.	PUNCT
iajs-2702	62	1	definition	definition	NOUN
iajs-2702	62	2	2.15	2.15	NUM
iajs-2702	62	3	:	:	PUNCT
iajs-2702	63	1	[	[	X
iajs-2702	63	2	2	2	NUM
iajs-2702	63	3	]	]	X
iajs-2702	63	4	let	let	VERB
iajs-2702	63	5	(	(	PUNCT
iajs-2702	63	6	ӽ	ӽ	NOUN
iajs-2702	63	7	,	,	PUNCT
iajs-2702	63	8	ʈ	ʈ	X
iajs-2702	63	9	,	,	PUNCT
iajs-2702	63	10	ɖ	ɖ	X
iajs-2702	63	11	)	)	PUNCT
iajs-2702	63	12	be	be	AUX
iajs-2702	63	13	a	a	DET
iajs-2702	63	14	soft	soft	ADJ
iajs-2702	63	15	topological	topological	ADJ
iajs-2702	63	16	space	space	NOUN
iajs-2702	63	17	over	over	ADP
iajs-2702	63	18	ӽ	ӽ	PRON
iajs-2702	63	19	is	be	AUX
iajs-2702	63	20	a	a	DET
iajs-2702	63	21	𝑠𝑜𝑓𝑡	𝑠𝑜𝑓𝑡	ADJ
iajs-2702	63	22	ʈ1	ʈ1	NOUN
iajs-2702	63	23	-	-	PUNCT
iajs-2702	63	24	space	space	NOUN
iajs-2702	63	25	if	if	SCONJ
iajs-2702	63	26	for	for	ADP
iajs-2702	63	27	all	all	PRON
iajs-2702	63	28	,	,	PUNCT
iajs-2702	63	29	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	63	30	∈̃	∈̃	PROPN
iajs-2702	63	31	ӽ̃	ӽ̃	PROPN
iajs-2702	63	32	𝑠𝑢𝑐ℎ	𝑠𝑢𝑐ℎ	PROPN
iajs-2702	63	33	𝑡ℎ𝑎𝑡	𝑡ℎ𝑎𝑡	PROPN
iajs-2702	63	34	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	63	35	≠	≠	PROPN
iajs-2702	63	36	ᶁ𝓝.	ᶁ𝓝.	PROPN
iajs-2702	63	37	∃	∃	NOUN
iajs-2702	63	38	(	(	PUNCT
iajs-2702	63	39	f	f	PROPN
iajs-2702	63	40	,	,	PUNCT
iajs-2702	63	41	ɖ	ɖ	X
iajs-2702	63	42	)	)	PUNCT
iajs-2702	63	43	,	,	PUNCT
iajs-2702	63	44	(	(	PUNCT
iajs-2702	63	45	ƞ	ƞ	NOUN
iajs-2702	63	46	,	,	PUNCT
iajs-2702	63	47	ɖ	ɖ	X
iajs-2702	63	48	)	)	PUNCT
iajs-2702	63	49	∈	∈	NOUN
iajs-2702	63	50	ʈ	ʈ	AUX
iajs-2702	63	51	whenever	whenever	ADV
iajs-2702	63	52	,	,	PUNCT
iajs-2702	63	53	ᶁ	ᶁ	ADP
iajs-2702	63	54	∈̃	∈̃	PROPN
iajs-2702	63	55	(	(	PUNCT
iajs-2702	63	56	f	f	X
iajs-2702	63	57	,	,	PUNCT
iajs-2702	63	58	ɖ	ɖ	X
iajs-2702	63	59	)	)	PUNCT
iajs-2702	63	60	,	,	PUNCT
iajs-2702	63	61	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	63	62	∉̃	∉̃	NOUN
iajs-2702	63	63	(	(	PUNCT
iajs-2702	63	64	f	f	PROPN
iajs-2702	63	65	,	,	PUNCT
iajs-2702	63	66	ɖ	ɖ	X
iajs-2702	63	67	)	)	PUNCT
iajs-2702	63	68	and	and	CCONJ
iajs-2702	63	69	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	63	70	∉̃	∉̃	PROPN
iajs-2702	63	71	(	(	PUNCT
iajs-2702	63	72	ƞ	ƞ	NOUN
iajs-2702	63	73	,	,	PUNCT
iajs-2702	63	74	ɖ	ɖ	NOUN
iajs-2702	63	75	)	)	PUNCT
iajs-2702	63	76	,	,	PUNCT
iajs-2702	63	77	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	63	78	∈̃	∈̃	PROPN
iajs-2702	63	79	(	(	PUNCT
iajs-2702	63	80	ƞ	ƞ	NOUN
iajs-2702	63	81	,	,	PUNCT
iajs-2702	63	82	ɖ	ɖ	NOUN
iajs-2702	63	83	)	)	PUNCT
iajs-2702	63	84	.	.	PUNCT
iajs-2702	64	1	definition	definition	NOUN
iajs-2702	64	2	2.16	2.16	NUM
iajs-2702	64	3	:	:	PUNCT
iajs-2702	65	1	[	[	X
iajs-2702	65	2	2	2	NUM
iajs-2702	65	3	]	]	X
iajs-2702	65	4	𝐿𝑒𝑡	𝐿𝑒𝑡	PROPN
iajs-2702	65	5	(	(	PUNCT
iajs-2702	65	6	ӽ	ӽ	X
iajs-2702	65	7	,	,	PUNCT
iajs-2702	65	8	ʈ	ʈ	X
iajs-2702	65	9	,	,	PUNCT
iajs-2702	65	10	ɖ	ɖ	X
iajs-2702	65	11	)	)	PUNCT
iajs-2702	65	12	be	be	AUX
iajs-2702	65	13	a	a	DET
iajs-2702	65	14	𝑠𝑜𝑓𝑡	𝑠𝑜𝑓𝑡	NOUN
iajs-2702	65	15	topological	topological	ADJ
iajs-2702	65	16	𝑠𝑝𝑎𝑐𝑒	𝑠𝑝𝑎𝑐𝑒	NOUN
iajs-2702	65	17	𝑜𝑣𝑒𝑟	𝑜𝑣𝑒𝑟	NOUN
iajs-2702	65	18	ӽ	ӽ	X
iajs-2702	65	19	is	be	AUX
iajs-2702	65	20	𝑠𝑎𝑖𝑑	𝑠𝑎𝑖𝑑	ADJ
iajs-2702	65	21	to	to	PART
iajs-2702	65	22	be	be	AUX
iajs-2702	65	23	𝑠𝑜𝑓𝑡ʈ2	𝑠𝑜𝑓𝑡ʈ2	ADJ
iajs-2702	65	24	-	-	PUNCT
iajs-2702	65	25	space	space	NOUN
iajs-2702	65	26	if	if	SCONJ
iajs-2702	65	27	,	,	PUNCT
iajs-2702	65	28	for	for	ADP
iajs-2702	65	29	each	each	PRON
iajs-2702	65	30	,	,	PUNCT
iajs-2702	65	31	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	65	32	∈̃	∈̃	PROPN
iajs-2702	65	33	ӽ̃	ӽ̃	PROPN
iajs-2702	65	34	such	such	ADJ
iajs-2702	65	35	that	that	DET
iajs-2702	65	36	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	65	37	≠	≠	PROPN
iajs-2702	65	38	ᶁ𝓝.	ᶁ𝓝.	PROPN
iajs-2702	65	39	∃	∃	NOUN
iajs-2702	65	40	(	(	PUNCT
iajs-2702	65	41	f	f	PROPN
iajs-2702	65	42	,	,	PUNCT
iajs-2702	65	43	ɖ	ɖ	X
iajs-2702	65	44	)	)	PUNCT
iajs-2702	65	45	,	,	PUNCT
iajs-2702	65	46	(	(	PUNCT
iajs-2702	65	47	ƞ	ƞ	NOUN
iajs-2702	65	48	,	,	PUNCT
iajs-2702	65	49	ɖ	ɖ	X
iajs-2702	65	50	)	)	PUNCT
iajs-2702	65	51	∈	∈	NOUN
iajs-2702	65	52	ʈ	ʈ	AUX
iajs-2702	65	53	whenever	whenever	ADV
iajs-2702	65	54	,	,	PUNCT
iajs-2702	65	55	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	65	56	∈̃	∈̃	PROPN
iajs-2702	65	57	(	(	PUNCT
iajs-2702	65	58	f	f	X
iajs-2702	65	59	,	,	PUNCT
iajs-2702	65	60	ɖ	ɖ	X
iajs-2702	65	61	)	)	PUNCT
iajs-2702	65	62	,	,	PUNCT
iajs-2702	65	63	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	65	64	∈̃	∈̃	PROPN
iajs-2702	65	65	(	(	PUNCT
iajs-2702	65	66	ƞ	ƞ	NOUN
iajs-2702	65	67	,	,	PUNCT
iajs-2702	65	68	ɖ	ɖ	NOUN
iajs-2702	65	69	)	)	PUNCT
iajs-2702	65	70	and	and	CCONJ
iajs-2702	65	71	(	(	PUNCT
iajs-2702	65	72	f	f	X
iajs-2702	65	73	,	,	PUNCT
iajs-2702	65	74	ɖ	ɖ	X
iajs-2702	65	75	)	)	PUNCT
iajs-2702	65	76	∩̃	∩̃	PUNCT
iajs-2702	65	77	(	(	PUNCT
iajs-2702	65	78	ƞ	ƞ	NOUN
iajs-2702	65	79	,	,	PUNCT
iajs-2702	65	80	ɖ	ɖ	NOUN
iajs-2702	65	81	)	)	PUNCT
iajs-2702	65	82	=	=	SYM
iajs-2702	65	83	{	{	PUNCT
iajs-2702	65	84	∅̃	∅̃	NOUN
iajs-2702	65	85	}	}	PUNCT
iajs-2702	65	86	.	.	PUNCT
iajs-2702	66	1	proposition	proposition	NOUN
iajs-2702	66	2	2.17	2.17	NUM
iajs-2702	66	3	:	:	PUNCT
iajs-2702	67	1	[	[	X
iajs-2702	67	2	2	2	X
iajs-2702	67	3	]	]	PUNCT
iajs-2702	67	4	for	for	ADP
iajs-2702	67	5	all	all	DET
iajs-2702	67	6	softʈi	softʈi	NOUN
iajs-2702	67	7	+1	+1	PROPN
iajs-2702	67	8	-	-	PUNCT
iajs-2702	67	9	space	space	NOUN
iajs-2702	67	10	is	be	AUX
iajs-2702	67	11	a	a	DET
iajs-2702	67	12	softʈi	softʈi	NOUN
iajs-2702	67	13	-	-	PUNCT
iajs-2702	67	14	space	space	NOUN
iajs-2702	67	15	and	and	CCONJ
iajs-2702	67	16	i	i	NOUN
iajs-2702	67	17	∈	∈	PROPN
iajs-2702	67	18	{	{	PUNCT
iajs-2702	67	19	0,1,2	0,1,2	NOUN
iajs-2702	67	20	}	}	PUNCT
iajs-2702	67	21	definition	definition	NOUN
iajs-2702	67	22	2.18:[13	2.18:[13	NUM
iajs-2702	67	23	]	]	PUNCT
iajs-2702	67	24	for	for	ADP
iajs-2702	67	25	a	a	DET
iajs-2702	67	26	soft	soft	ADJ
iajs-2702	67	27	ideal	ideal	ADJ
iajs-2702	67	28	space	space	NOUN
iajs-2702	67	29	(	(	PUNCT
iajs-2702	67	30	ӽ	ӽ	NOUN
iajs-2702	67	31	,	,	PUNCT
iajs-2702	67	32	ʈ	ʈ	X
iajs-2702	67	33	,	,	PUNCT
iajs-2702	67	34	ɖ	ɖ	NOUN
iajs-2702	67	35	,	,	PUNCT
iajs-2702	67	36	ᶅ	ᶅ	NOUN
iajs-2702	67	37	)	)	PUNCT
iajs-2702	67	38	,	,	PUNCT
iajs-2702	67	39	determane	determane	NOUN
iajs-2702	67	40	a	a	DET
iajs-2702	67	41	game	game	NOUN
iajs-2702	67	42	şᶃ(ʈ0	şᶃ(ʈ0	NOUN
iajs-2702	67	43	,	,	PUNCT
iajs-2702	67	44	ӽ	ӽ	X
iajs-2702	67	45	)	)	PUNCT
iajs-2702	67	46	as	as	SCONJ
iajs-2702	67	47	follows	follow	VERB
iajs-2702	67	48	:	:	PUNCT
iajs-2702	67	49	pⅰ	pⅰ	NOUN
iajs-2702	67	50	and	and	CCONJ
iajs-2702	67	51	pⅱ	pⅱ	NOUN
iajs-2702	67	52	play	play	VERB
iajs-2702	67	53	an	an	DET
iajs-2702	67	54	inning	inning	NOUN
iajs-2702	67	55	for	for	SCONJ
iajs-2702	67	56	each	each	DET
iajs-2702	67	57	positive	positive	ADJ
iajs-2702	67	58	integer	integer	NOUN
iajs-2702	67	59	numbers	number	NOUN
iajs-2702	67	60	in	in	ADP
iajs-2702	67	61	the	the	DET
iajs-2702	67	62	𝑧-𝑡ℎ	𝑧-𝑡ℎ	NOUN
iajs-2702	67	63	inning	inne	VERB
iajs-2702	67	64	:	:	PUNCT
iajs-2702	67	65	the	the	DET
iajs-2702	67	66	first	first	ADJ
iajs-2702	67	67	step	step	NOUN
iajs-2702	67	68	,	,	PUNCT
iajs-2702	67	69	pⅰ	pⅰ	PROPN
iajs-2702	67	70	chooses(ᶁℳ)𝑧	chooses(ᶁℳ)𝑧	PROPN
iajs-2702	67	71	≠	≠	PROPN
iajs-2702	67	72	(	(	PUNCT
iajs-2702	67	73	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	67	74	where	where	SCONJ
iajs-2702	67	75	,	,	PUNCT
iajs-2702	67	76	(	(	PUNCT
iajs-2702	67	77	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	67	78	,	,	PUNCT
iajs-2702	67	79	(	(	PUNCT
iajs-2702	67	80	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	67	81	∈̃	∈̃	PROPN
iajs-2702	67	82	ӽ̃	ӽ̃	PROPN
iajs-2702	67	83	.in	.in	PUNCT
iajs-2702	67	84	the	the	DET
iajs-2702	67	85	second	second	ADJ
iajs-2702	67	86	step	step	NOUN
iajs-2702	67	87	,	,	PUNCT
iajs-2702	67	88	p	p	PROPN
iajs-2702	67	89	ⅱ	ⅱ	PROPN
iajs-2702	67	90	chooses	choose	VERB
iajs-2702	67	91	ƀ	ƀ	PRON
iajs-2702	67	92	𝑧	𝑧	VERB
iajs-2702	67	93	a	a	DET
iajs-2702	67	94	open	open	ADJ
iajs-2702	67	95	-	-	PUNCT
iajs-2702	67	96	soft	soft	ADJ
iajs-2702	67	97	containing	contain	VERB
iajs-2702	67	98	only	only	ADV
iajs-2702	67	99	one	one	NUM
iajs-2702	67	100	of	of	ADP
iajs-2702	67	101	the	the	DET
iajs-2702	67	102	two	two	NUM
iajs-2702	67	103	elements	element	NOUN
iajs-2702	67	104	(	(	PUNCT
iajs-2702	67	105	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	67	106	,	,	PUNCT
iajs-2702	67	107	(	(	PUNCT
iajs-2702	67	108	ᶁ𝒩)𝑧.	ᶁ𝒩)𝑧.	PROPN
iajs-2702	67	109	then	then	ADV
iajs-2702	67	110	pⅱ	pⅱ	NOUN
iajs-2702	67	111	wins	win	VERB
iajs-2702	67	112	in	in	ADP
iajs-2702	67	113	the	the	DET
iajs-2702	67	114	soft	soft	ADJ
iajs-2702	67	115	game	game	NOUN
iajs-2702	67	116	şᶃ(ʈ0	şᶃ(ʈ0	NOUN
iajs-2702	67	117	,	,	PUNCT
iajs-2702	67	118	ӽ	ӽ	X
iajs-2702	67	119	)	)	PUNCT
iajs-2702	67	120	if	if	SCONJ
iajs-2702	67	121	ƀ	ƀ	PRON
iajs-2702	67	122	=	=	X
iajs-2702	67	123	{	{	PUNCT
iajs-2702	67	124	ƀ	ƀ	NOUN
iajs-2702	67	125	1	1	NUM
iajs-2702	67	126	,	,	PUNCT
iajs-2702	67	127	ƀ	ƀ	PROPN
iajs-2702	67	128	2	2	NUM
iajs-2702	67	129	,	,	PUNCT
iajs-2702	67	130	ƀ	ƀ	NOUN
iajs-2702	67	131	3	3	NUM
iajs-2702	67	132	,	,	PUNCT
iajs-2702	67	133	…	…	PUNCT
iajs-2702	67	134	ƀ	ƀ	X
iajs-2702	67	135	𝑧	𝑧	ADJ
iajs-2702	67	136	,	,	PUNCT
iajs-2702	67	137	…	…	PUNCT
iajs-2702	67	138	..	..	PUNCT
iajs-2702	67	139	}	}	PUNCT
iajs-2702	67	140	is	be	AUX
iajs-2702	67	141	a	a	DET
iajs-2702	67	142	collection	collection	NOUN
iajs-2702	67	143	of	of	ADP
iajs-2702	67	144	an	an	DET
iajs-2702	67	145	open	open	ADJ
iajs-2702	67	146	-	-	PUNCT
iajs-2702	67	147	soft	soft	ADJ
iajs-2702	67	148	set	set	NOUN
iajs-2702	67	149	in	in	ADP
iajs-2702	67	150	ӽ	ӽ	PRON
iajs-2702	67	151	such	such	ADJ
iajs-2702	67	152	that	that	SCONJ
iajs-2702	67	153	∀	∀	NOUN
iajs-2702	67	154	,	,	PUNCT
iajs-2702	67	155	(	(	PUNCT
iajs-2702	67	156	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	67	157	,	,	PUNCT
iajs-2702	67	158	(	(	PUNCT
iajs-2702	67	159	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	67	160	∈̃	∈̃	PROPN
iajs-2702	67	161	ӽ	ӽ	NOUN
iajs-2702	67	162	,	,	PUNCT
iajs-2702	67	163	∃	∃	PROPN
iajs-2702	67	164	ƀ	ƀ	X
iajs-2702	67	165	𝑧	𝑧	PROPN
iajs-2702	67	166	∈	∈	PROPN
iajs-2702	67	167	ƀ	ƀ	NOUN
iajs-2702	67	168	containing	contain	VERB
iajs-2702	67	169	only	only	ADV
iajs-2702	67	170	one	one	NUM
iajs-2702	67	171	of	of	ADP
iajs-2702	67	172	two	two	NUM
iajs-2702	67	173	element	element	NOUN
iajs-2702	67	174	(	(	PUNCT
iajs-2702	67	175	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	67	176	,	,	PUNCT
iajs-2702	67	177	(	(	PUNCT
iajs-2702	67	178	ᶁ𝒩)𝑧.	ᶁ𝒩)𝑧.	PROPN
iajs-2702	67	179	otherwise	otherwise	ADV
iajs-2702	67	180	,	,	PUNCT
iajs-2702	67	181	pⅰ	pⅰ	NOUN
iajs-2702	67	182	wins	win	NOUN
iajs-2702	67	183	.	.	PUNCT
iajs-2702	68	1	definition	definition	NOUN
iajs-2702	68	2	2.19:[13	2.19:[13	NUM
iajs-2702	68	3	]	]	PUNCT
iajs-2702	68	4	for	for	ADP
iajs-2702	68	5	a	a	DET
iajs-2702	68	6	soft	soft	ADJ
iajs-2702	68	7	ideal	ideal	ADJ
iajs-2702	68	8	space	space	NOUN
iajs-2702	68	9	(	(	PUNCT
iajs-2702	68	10	ӽ	ӽ	NOUN
iajs-2702	68	11	,	,	PUNCT
iajs-2702	68	12	ʈ	ʈ	X
iajs-2702	68	13	,	,	PUNCT
iajs-2702	68	14	ɖ	ɖ	NOUN
iajs-2702	68	15	,	,	PUNCT
iajs-2702	68	16	ᶅ	ᶅ	NOUN
iajs-2702	68	17	)	)	PUNCT
iajs-2702	68	18	,	,	PUNCT
iajs-2702	68	19	determine	determine	VERB
iajs-2702	68	20	a	a	DET
iajs-2702	68	21	game	game	NOUN
iajs-2702	68	22	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	68	23	,	,	PUNCT
iajs-2702	68	24	ӽ	ӽ	NOUN
iajs-2702	68	25	)	)	PUNCT
iajs-2702	68	26	as	as	SCONJ
iajs-2702	68	27	follows	follow	VERB
iajs-2702	68	28	:	:	PUNCT
iajs-2702	68	29	pⅰ	pⅰ	NOUN
iajs-2702	68	30	and	and	CCONJ
iajs-2702	68	31	pⅱ	pⅱ	NOUN
iajs-2702	68	32	are	be	AUX
iajs-2702	68	33	play	play	VERB
iajs-2702	68	34	an	an	DET
iajs-2702	68	35	inning	inning	NOUN
iajs-2702	68	36	with	with	ADP
iajs-2702	68	37	each	each	DET
iajs-2702	68	38	positive	positive	ADJ
iajs-2702	68	39	integer	integer	NOUN
iajs-2702	68	40	numbers	number	NOUN
iajs-2702	68	41	in	in	ADP
iajs-2702	68	42	the	the	DET
iajs-2702	68	43	𝑧­𝑡ℎ	𝑧­𝑡ℎ	NOUN
iajs-2702	68	44	inning	inning	NOUN
iajs-2702	68	45	:	:	PUNCT
iajs-2702	68	46	the	the	DET
iajs-2702	68	47	first	first	ADJ
iajs-2702	68	48	step	step	NOUN
iajs-2702	68	49	,	,	PUNCT
iajs-2702	68	50	pⅰ	pⅰ	PROPN
iajs-2702	68	51	choose	choose	VERB
iajs-2702	68	52	(	(	PUNCT
iajs-2702	68	53	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	68	54	≠	≠	PROPN
iajs-2702	68	55	(	(	PUNCT
iajs-2702	68	56	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	68	57	where	where	SCONJ
iajs-2702	68	58	,	,	PUNCT
iajs-2702	68	59	(	(	PUNCT
iajs-2702	68	60	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	68	61	,	,	PUNCT
iajs-2702	68	62	(	(	PUNCT
iajs-2702	68	63	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	68	64	∈̃	∈̃	PROPN
iajs-2702	68	65	ӽ̃	ӽ̃	PROPN
iajs-2702	68	66	.	.	PUNCT
iajs-2702	69	1	in	in	ADP
iajs-2702	69	2	the	the	DET
iajs-2702	69	3	second	second	ADJ
iajs-2702	69	4	step	step	NOUN
iajs-2702	69	5	,	,	PUNCT
iajs-2702	69	6	pⅱ	pⅱ	NOUN
iajs-2702	69	7	chooses	choose	NOUN
iajs-2702	69	8	(	(	PUNCT
iajs-2702	69	9	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	69	10	,	,	PUNCT
iajs-2702	69	11	ɖ	ɖ	NOUN
iajs-2702	69	12	)	)	PUNCT
iajs-2702	69	13	,	,	PUNCT
iajs-2702	69	14	(	(	PUNCT
iajs-2702	69	15	ư𝑧	ư𝑧	ADJ
iajs-2702	69	16	,	,	PUNCT
iajs-2702	69	17	ɖ	ɖ	X
iajs-2702	69	18	)	)	PUNCT
iajs-2702	69	19	are	be	AUX
iajs-2702	69	20	two	two	NUM
iajs-2702	69	21	open	open	ADJ
iajs-2702	69	22	-	-	PUNCT
iajs-2702	69	23	soft	soft	ADJ
iajs-2702	69	24	sets	set	NOUN
iajs-2702	69	25	such	such	ADJ
iajs-2702	69	26	that	that	SCONJ
iajs-2702	69	27	(	(	PUNCT
iajs-2702	69	28	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	69	29	∈̃	∈̃	PROPN
iajs-2702	69	30	(	(	PUNCT
iajs-2702	69	31	(	(	PUNCT
iajs-2702	69	32	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	69	33	,	,	PUNCT
iajs-2702	69	34	ɖ	ɖ	NOUN
iajs-2702	69	35	)	)	PUNCT
iajs-2702	69	36	‒	‒	X
iajs-2702	69	37	(	(	PUNCT
iajs-2702	69	38	ư𝑧	ư𝑧	ADJ
iajs-2702	69	39	,	,	PUNCT
iajs-2702	69	40	ɖ	ɖ	X
iajs-2702	69	41	)	)	PUNCT
iajs-2702	69	42	)	)	PUNCT
iajs-2702	70	1	and	and	CCONJ
iajs-2702	70	2	(	(	PUNCT
iajs-2702	70	3	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	70	4	∈̃	∈̃	PROPN
iajs-2702	70	5	(	(	PUNCT
iajs-2702	70	6	(	(	PUNCT
iajs-2702	70	7	ư𝑧	ư𝑧	ADJ
iajs-2702	70	8	,	,	PUNCT
iajs-2702	70	9	ɖ	ɖ	X
iajs-2702	70	10	)	)	PUNCT
iajs-2702	70	11	‒	‒	NOUN
iajs-2702	70	12	(	(	PUNCT
iajs-2702	70	13	ƌ𝑧	ƌ𝑧	INTJ
iajs-2702	70	14	,	,	PUNCT
iajs-2702	70	15	ɖ)).then	ɖ)).then	ADV
iajs-2702	70	16	,	,	PUNCT
iajs-2702	70	17	pⅱ	pⅱ	NOUN
iajs-2702	70	18	wins	win	VERB
iajs-2702	70	19	in	in	ADP
iajs-2702	70	20	the	the	DET
iajs-2702	70	21	soft	soft	ADJ
iajs-2702	70	22	game	game	NOUN
iajs-2702	70	23	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	70	24	,	,	PUNCT
iajs-2702	70	25	ӽ	ӽ	NOUN
iajs-2702	70	26	)	)	PUNCT
iajs-2702	70	27	if	if	SCONJ
iajs-2702	70	28	ƀ	ƀ	PRON
iajs-2702	70	29	=	=	X
iajs-2702	70	30	{	{	PUNCT
iajs-2702	70	31	{	{	PUNCT
iajs-2702	70	32	(	(	PUNCT
iajs-2702	70	33	ƌ1,ɖ	ƌ1,ɖ	PROPN
iajs-2702	70	34	)	)	PUNCT
iajs-2702	70	35	,	,	PUNCT
iajs-2702	70	36	(	(	PUNCT
iajs-2702	70	37	ư1,ɖ	ư1,ɖ	NOUN
iajs-2702	70	38	)	)	PUNCT
iajs-2702	70	39	}	}	PUNCT
iajs-2702	70	40	,	,	PUNCT
iajs-2702	70	41	{	{	PUNCT
iajs-2702	70	42	(	(	PUNCT
iajs-2702	70	43	ƌ2,ɖ	ƌ2,ɖ	PROPN
iajs-2702	70	44	)	)	PUNCT
iajs-2702	70	45	,	,	PUNCT
iajs-2702	70	46	(	(	PUNCT
iajs-2702	70	47	ư2,ɖ	ư2,ɖ	PROPN
iajs-2702	70	48	)	)	PUNCT
iajs-2702	70	49	}	}	PUNCT
iajs-2702	70	50	,	,	PUNCT
iajs-2702	70	51	…	…	PUNCT
iajs-2702	70	52	,	,	PUNCT
iajs-2702	70	53	{	{	PUNCT
iajs-2702	70	54	(	(	PUNCT
iajs-2702	70	55	ƌ𝑧,ɖ	ƌ𝑧,ɖ	NUM
iajs-2702	70	56	)	)	PUNCT
iajs-2702	70	57	,	,	PUNCT
iajs-2702	70	58	(	(	PUNCT
iajs-2702	70	59	ư𝑧,ɖ	ư𝑧,ɖ	PUNCT
iajs-2702	70	60	)	)	PUNCT
iajs-2702	70	61	}	}	PUNCT
iajs-2702	70	62	,	,	PUNCT
iajs-2702	70	63	…	…	PUNCT
iajs-2702	70	64	}	}	PUNCT
iajs-2702	70	65	is	be	AUX
iajs-2702	70	66	a	a	DET
iajs-2702	70	67	collection	collection	NOUN
iajs-2702	70	68	of	of	ADP
iajs-2702	70	69	an	an	DET
iajs-2702	70	70	open	open	ADJ
iajs-2702	70	71	-	-	PUNCT
iajs-2702	70	72	soft	soft	ADJ
iajs-2702	70	73	sets	set	NOUN
iajs-2702	70	74	in	in	ADP
iajs-2702	70	75	ӽ	ӽ	NOUN
iajs-2702	70	76	such	such	ADJ
iajs-2702	70	77	that	that	SCONJ
iajs-2702	70	78	∀	∀	NOUN
iajs-2702	71	1	(	(	PUNCT
iajs-2702	71	2	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	71	3	≠	≠	PROPN
iajs-2702	71	4	(	(	PUNCT
iajs-2702	71	5	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	71	6	such	such	ADJ
iajs-2702	71	7	that	that	PRON
iajs-2702	71	8	,	,	PUNCT
iajs-2702	71	9	(	(	PUNCT
iajs-2702	71	10	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	71	11	,	,	PUNCT
iajs-2702	71	12	(	(	PUNCT
iajs-2702	71	13	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	71	14	∈̃	∈̃	PROPN
iajs-2702	71	15	ӽ̃	ӽ̃	PROPN
iajs-2702	71	16	,	,	PUNCT
iajs-2702	71	17	∃{(ƌ𝑧	∃{(ƌ𝑧	PRON
iajs-2702	71	18	,	,	PUNCT
iajs-2702	71	19	ɖ	ɖ	NOUN
iajs-2702	71	20	)	)	PUNCT
iajs-2702	71	21	,	,	PUNCT
iajs-2702	71	22	(	(	PUNCT
iajs-2702	71	23	ư𝑧	ư𝑧	ADJ
iajs-2702	71	24	,	,	PUNCT
iajs-2702	71	25	ɖ	ɖ	X
iajs-2702	71	26	)	)	PUNCT
iajs-2702	71	27	}	}	PUNCT
iajs-2702	71	28	∈	∈	PROPN
iajs-2702	71	29	ƀ	ƀ	PRON
iajs-2702	71	30	such	such	ADJ
iajs-2702	71	31	that	that	SCONJ
iajs-2702	71	32	(	(	PUNCT
iajs-2702	71	33	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	71	34	∈̃	∈̃	PROPN
iajs-2702	71	35	(	(	PUNCT
iajs-2702	71	36	(	(	PUNCT
iajs-2702	71	37	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	71	38	,	,	PUNCT
iajs-2702	71	39	ɖ	ɖ	NOUN
iajs-2702	71	40	)	)	PUNCT
iajs-2702	71	41	‒	‒	X
iajs-2702	71	42	(	(	PUNCT
iajs-2702	71	43	ư𝑧	ư𝑧	NOUN
iajs-2702	71	44	,	,	PUNCT
iajs-2702	71	45	ɖ))and	ɖ))and	INTJ
iajs-2702	71	46	(	(	PUNCT
iajs-2702	71	47	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	71	48	∈̃	∈̃	PROPN
iajs-2702	71	49	(	(	PUNCT
iajs-2702	71	50	(	(	PUNCT
iajs-2702	71	51	ư𝑧	ư𝑧	NOUN
iajs-2702	71	52	,	,	PUNCT
iajs-2702	71	53	ɖ)‒	ɖ)‒	PUNCT
iajs-2702	71	54	(	(	PUNCT
iajs-2702	71	55	ƌ𝑧	ƌ𝑧	INTJ
iajs-2702	71	56	,	,	PUNCT
iajs-2702	71	57	ɖ	ɖ	NOUN
iajs-2702	71	58	)	)	PUNCT
iajs-2702	71	59	)	)	PUNCT
iajs-2702	71	60	.	.	PUNCT
iajs-2702	72	1	otherwise	otherwise	ADV
iajs-2702	72	2	,	,	PUNCT
iajs-2702	72	3	pⅰ	pⅰ	NOUN
iajs-2702	72	4	wins	win	VERB
iajs-2702	72	5	in	in	ADP
iajs-2702	72	6	the	the	DET
iajs-2702	72	7	soft	soft	ADJ
iajs-2702	72	8	game	game	NOUN
iajs-2702	72	9	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	72	10	,	,	PUNCT
iajs-2702	72	11	ӽ	ӽ	NOUN
iajs-2702	72	12	)	)	PUNCT
iajs-2702	72	13	.	.	PUNCT
iajs-2702	73	1	definition2.20:[13	definition2.20:[13	NOUN
iajs-2702	73	2	]	]	PUNCT
iajs-2702	73	3	for	for	ADP
iajs-2702	73	4	a	a	DET
iajs-2702	73	5	soft	soft	ADJ
iajs-2702	73	6	ideal	ideal	ADJ
iajs-2702	73	7	space	space	NOUN
iajs-2702	73	8	(	(	PUNCT
iajs-2702	73	9	ӽ	ӽ	NOUN
iajs-2702	73	10	,	,	PUNCT
iajs-2702	73	11	ʈ	ʈ	X
iajs-2702	73	12	,	,	PUNCT
iajs-2702	73	13	ɖ	ɖ	NOUN
iajs-2702	73	14	,	,	PUNCT
iajs-2702	73	15	ᶅ	ᶅ	NOUN
iajs-2702	73	16	)	)	PUNCT
iajs-2702	73	17	,	,	PUNCT
iajs-2702	73	18	determine	determine	VERB
iajs-2702	73	19	a	a	DET
iajs-2702	73	20	game	game	NOUN
iajs-2702	73	21	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	73	22	,	,	PUNCT
iajs-2702	73	23	ӽ	ӽ	NOUN
iajs-2702	73	24	)	)	PUNCT
iajs-2702	73	25	as	as	SCONJ
iajs-2702	73	26	follows	follow	VERB
iajs-2702	73	27	:	:	PUNCT
iajs-2702	73	28	pⅰ	pⅰ	NOUN
iajs-2702	73	29	and	and	CCONJ
iajs-2702	73	30	pⅱ	pⅱ	NOUN
iajs-2702	73	31	are	be	AUX
iajs-2702	73	32	play	play	VERB
iajs-2702	73	33	an	an	DET
iajs-2702	73	34	inning	inning	NOUN
iajs-2702	73	35	with	with	ADP
iajs-2702	73	36	each	each	DET
iajs-2702	73	37	positive	positive	ADJ
iajs-2702	73	38	integer	integer	NOUN
iajs-2702	73	39	numbers	number	NOUN
iajs-2702	73	40	in	in	ADP
iajs-2702	73	41	the	the	DET
iajs-2702	73	42	𝑧­𝑡ℎ	𝑧­𝑡ℎ	NOUN
iajs-2702	73	43	inning	inning	NOUN
iajs-2702	73	44	:	:	PUNCT
iajs-2702	73	45	the	the	DET
iajs-2702	73	46	first	first	ADJ
iajs-2702	73	47	step	step	NOUN
iajs-2702	73	48	,	,	PUNCT
iajs-2702	73	49	pⅰ	pⅰ	PROPN
iajs-2702	73	50	choose	choose	VERB
iajs-2702	73	51	(	(	PUNCT
iajs-2702	73	52	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	73	53	≠	≠	PROPN
iajs-2702	73	54	(	(	PUNCT
iajs-2702	73	55	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	73	56	whenever	whenever	SCONJ
iajs-2702	73	57	,	,	PUNCT
iajs-2702	73	58	(	(	PUNCT
iajs-2702	73	59	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	73	60	,	,	PUNCT
iajs-2702	73	61	(	(	PUNCT
iajs-2702	73	62	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	73	63	∈̃	∈̃	PROPN
iajs-2702	73	64	ӽ̃.	ӽ̃.	PROPN
iajs-2702	73	65	in	in	ADP
iajs-2702	73	66	the	the	DET
iajs-2702	73	67	second	second	ADJ
iajs-2702	73	68	step	step	NOUN
iajs-2702	73	69	,	,	PUNCT
iajs-2702	73	70	pⅱ	pⅱ	NOUN
iajs-2702	73	71	choose	choose	NOUN
iajs-2702	73	72	(	(	PUNCT
iajs-2702	73	73	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	73	74	,	,	PUNCT
iajs-2702	73	75	ɖ	ɖ	NOUN
iajs-2702	73	76	)	)	PUNCT
iajs-2702	73	77	,	,	PUNCT
iajs-2702	73	78	(	(	PUNCT
iajs-2702	73	79	ư𝑧	ư𝑧	ADJ
iajs-2702	73	80	,	,	PUNCT
iajs-2702	73	81	ɖ	ɖ	X
iajs-2702	73	82	)	)	PUNCT
iajs-2702	73	83	are	be	AUX
iajs-2702	73	84	two	two	NUM
iajs-2702	73	85	open	open	ADJ
iajs-2702	73	86	-	-	PUNCT
iajs-2702	73	87	soft	soft	ADJ
iajs-2702	73	88	sets	set	NOUN
iajs-2702	73	89	such	such	ADJ
iajs-2702	73	90	that	that	SCONJ
iajs-2702	73	91	(	(	PUNCT
iajs-2702	73	92	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	73	93	∈̃	∈̃	PROPN
iajs-2702	73	94	(	(	PUNCT
iajs-2702	73	95	ƌ𝑧	ƌ𝑧	INTJ
iajs-2702	73	96	,	,	PUNCT
iajs-2702	73	97	ɖ	ɖ	X
iajs-2702	73	98	)	)	PUNCT
iajs-2702	73	99	,	,	PUNCT
iajs-2702	73	100	(	(	PUNCT
iajs-2702	73	101	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	73	102	∈̃	∈̃	PROPN
iajs-2702	73	103	(	(	PUNCT
iajs-2702	73	104	ư𝑧	ư𝑧	ADJ
iajs-2702	73	105	,	,	PUNCT
iajs-2702	73	106	ɖ	ɖ	X
iajs-2702	73	107	)	)	PUNCT
iajs-2702	73	108	and	and	CCONJ
iajs-2702	73	109	(	(	PUNCT
iajs-2702	73	110	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	73	111	,	,	PUNCT
iajs-2702	73	112	ɖ	ɖ	X
iajs-2702	73	113	)	)	PUNCT
iajs-2702	73	114	∩̃	∩̃	PUNCT
iajs-2702	73	115	(	(	PUNCT
iajs-2702	73	116	ư𝑧	ư𝑧	ADJ
iajs-2702	73	117	,	,	PUNCT
iajs-2702	73	118	ɖ	ɖ	X
iajs-2702	73	119	)	)	PUNCT
iajs-2702	73	120	=	=	SYM
iajs-2702	73	121	{	{	PUNCT
iajs-2702	73	122	∅̃	∅̃	NOUN
iajs-2702	73	123	}	}	PUNCT
iajs-2702	73	124	.	.	PUNCT
iajs-2702	74	1	then	then	ADV
iajs-2702	74	2	pⅱ	pⅱ	NOUN
iajs-2702	74	3	wins	win	VERB
iajs-2702	74	4	in	in	ADP
iajs-2702	74	5	the	the	DET
iajs-2702	74	6	game	game	NOUN
iajs-2702	74	7	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	74	8	,	,	PUNCT
iajs-2702	74	9	ӽ	ӽ	NOUN
iajs-2702	74	10	)	)	PUNCT
iajs-2702	74	11	if	if	SCONJ
iajs-2702	74	12	ƀ	ƀ	PRON
iajs-2702	74	13	=	=	X
iajs-2702	74	14	{	{	PUNCT
iajs-2702	74	15	{	{	PUNCT
iajs-2702	74	16	(	(	PUNCT
iajs-2702	74	17	ƌ	ƌ	PROPN
iajs-2702	74	18	,	,	PUNCT
iajs-2702	74	19	ɖ	ɖ	NOUN
iajs-2702	74	20	)	)	PUNCT
iajs-2702	74	21	,	,	PUNCT
iajs-2702	74	22	(	(	PUNCT
iajs-2702	74	23	ư	ư	X
iajs-2702	74	24	,	,	PUNCT
iajs-2702	74	25	ɖ	ɖ	NOUN
iajs-2702	74	26	)	)	PUNCT
iajs-2702	74	27	}	}	PUNCT
iajs-2702	74	28	,	,	PUNCT
iajs-2702	74	29	{	{	PUNCT
iajs-2702	74	30	(	(	PUNCT
iajs-2702	74	31	ư	ư	X
iajs-2702	74	32	,	,	PUNCT
iajs-2702	74	33	ɖ	ɖ	NOUN
iajs-2702	74	34	)	)	PUNCT
iajs-2702	74	35	,	,	PUNCT
iajs-2702	74	36	(	(	PUNCT
iajs-2702	74	37	ƈ	ƈ	NOUN
iajs-2702	74	38	,	,	PUNCT
iajs-2702	74	39	ɖ	ɖ	NOUN
iajs-2702	74	40	)	)	PUNCT
iajs-2702	74	41	}	}	PUNCT
iajs-2702	74	42	,	,	PUNCT
iajs-2702	74	43	{	{	PUNCT
iajs-2702	74	44	(	(	PUNCT
iajs-2702	74	45	ƌ	ƌ	PROPN
iajs-2702	74	46	,	,	PUNCT
iajs-2702	74	47	ɖ	ɖ	NOUN
iajs-2702	74	48	)	)	PUNCT
iajs-2702	74	49	,	,	PUNCT
iajs-2702	74	50	(	(	PUNCT
iajs-2702	74	51	ƈ	ƈ	NOUN
iajs-2702	74	52	,	,	PUNCT
iajs-2702	74	53	ɖ	ɖ	NOUN
iajs-2702	74	54	)	)	PUNCT
iajs-2702	74	55	}	}	PUNCT
iajs-2702	74	56	}	}	PUNCT
iajs-2702	74	57	be	be	AUX
iajs-2702	74	58	a	a	DET
iajs-2702	74	59	collection	collection	NOUN
iajs-2702	74	60	of	of	ADP
iajs-2702	74	61	a	a	DET
iajs-2702	74	62	open	open	ADJ
iajs-2702	74	63	-	-	PUNCT
iajs-2702	74	64	soft	soft	ADJ
iajs-2702	74	65	sets	set	NOUN
iajs-2702	74	66	in	in	ADP
iajs-2702	74	67	ӽ	ӽ	NOUN
iajs-2702	74	68	such	such	ADJ
iajs-2702	74	69	that	that	SCONJ
iajs-2702	74	70	∀	∀	NOUN
iajs-2702	75	1	(	(	PUNCT
iajs-2702	75	2	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	75	3	≠	≠	PROPN
iajs-2702	75	4	(	(	PUNCT
iajs-2702	75	5	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	75	6	whenever	whenever	ADV
iajs-2702	75	7	,	,	PUNCT
iajs-2702	75	8	(	(	PUNCT
iajs-2702	75	9	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	75	10	,	,	PUNCT
iajs-2702	75	11	(	(	PUNCT
iajs-2702	75	12	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	75	13	∈̃	∈̃	PROPN
iajs-2702	75	14	ӽ̃	ӽ̃	PROPN
iajs-2702	75	15	,	,	PUNCT
iajs-2702	75	16	∃{(ƌ𝑧	∃{(ƌ𝑧	PRON
iajs-2702	75	17	,	,	PUNCT
iajs-2702	75	18	ɖ	ɖ	NOUN
iajs-2702	75	19	)	)	PUNCT
iajs-2702	75	20	,	,	PUNCT
iajs-2702	75	21	(	(	PUNCT
iajs-2702	75	22	ư𝑧	ư𝑧	ADJ
iajs-2702	75	23	,	,	PUNCT
iajs-2702	75	24	ɖ	ɖ	X
iajs-2702	75	25	)	)	PUNCT
iajs-2702	75	26	}	}	PUNCT
iajs-2702	75	27	∈	∈	PROPN
iajs-2702	75	28	ƀ	ƀ	X
iajs-2702	75	29	ibn	ibn	PROPN
iajs-2702	75	30	al	al	PROPN
iajs-2702	75	31	-	-	PUNCT
iajs-2702	75	32	haitham	haitham	PROPN
iajs-2702	75	33	jour	jour	X
iajs-2702	75	34	.	.	PROPN
iajs-2702	75	35	for	for	ADP
iajs-2702	75	36	pure	pure	ADJ
iajs-2702	75	37	&	&	CCONJ
iajs-2702	75	38	appl	appl	PROPN
iajs-2702	75	39	.	.	PUNCT
iajs-2702	76	1	sci	sci	PROPN
iajs-2702	76	2	.	.	PROPN
iajs-2702	77	1	34(4)2021	34(4)2021	NUM
iajs-2702	77	2	48	48	NUM
iajs-2702	77	3	such	such	ADJ
iajs-2702	77	4	that	that	SCONJ
iajs-2702	77	5	(	(	PUNCT
iajs-2702	77	6	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	77	7	∈̃	∈̃	PROPN
iajs-2702	77	8	(	(	PUNCT
iajs-2702	77	9	(	(	PUNCT
iajs-2702	77	10	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	77	11	,	,	PUNCT
iajs-2702	77	12	ɖ	ɖ	NOUN
iajs-2702	77	13	)	)	PUNCT
iajs-2702	77	14	and	and	CCONJ
iajs-2702	77	15	(	(	PUNCT
iajs-2702	77	16	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	77	17	∈̃((ư𝑧	∈̃((ư𝑧	PROPN
iajs-2702	77	18	,	,	PUNCT
iajs-2702	77	19	ɖ	ɖ	X
iajs-2702	77	20	)	)	PUNCT
iajs-2702	77	21	and	and	CCONJ
iajs-2702	77	22	(	(	PUNCT
iajs-2702	77	23	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	77	24	,	,	PUNCT
iajs-2702	77	25	ɖ	ɖ	X
iajs-2702	77	26	)	)	PUNCT
iajs-2702	77	27	∩̃	∩̃	PUNCT
iajs-2702	77	28	(	(	PUNCT
iajs-2702	77	29	ư𝑧	ư𝑧	ADJ
iajs-2702	77	30	,	,	PUNCT
iajs-2702	77	31	ɖ	ɖ	X
iajs-2702	77	32	=	=	PRON
iajs-2702	77	33	{	{	PUNCT
iajs-2702	77	34	∅̃	∅̃	NOUN
iajs-2702	77	35	}	}	PUNCT
iajs-2702	77	36	.	.	PUNCT
iajs-2702	78	1	otherwise	otherwise	ADV
iajs-2702	78	2	,	,	PUNCT
iajs-2702	78	3	pⅰ	pⅰ	NOUN
iajs-2702	78	4	wins	win	NOUN
iajs-2702	78	5	in	in	ADP
iajs-2702	78	6	the	the	DET
iajs-2702	78	7	game	game	NOUN
iajs-2702	78	8	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	78	9	,	,	PUNCT
iajs-2702	78	10	ӽ	ӽ	X
iajs-2702	78	11	)	)	PUNCT
iajs-2702	78	12	.	.	PUNCT
iajs-2702	79	1	3.on	3.on	NUM
iajs-2702	79	2	softـ	softـ	NOUN
iajs-2702	80	1	ᶅ	ᶅ	X
iajs-2702	80	2	ـ𝒑𝒓𝒆	ـ𝒑𝒓𝒆	NOUN
iajs-2702	80	3	ـ	ـ	NOUN
iajs-2702	80	4	𝒈ـ	𝒈ـ	ADP
iajs-2702	80	5	closed	close	VERB
iajs-2702	80	6	set	set	VERB
iajs-2702	80	7	definition	definition	NOUN
iajs-2702	80	8	3.1	3.1	NUM
iajs-2702	80	9	:	:	PUNCT
iajs-2702	80	10	for	for	ADP
iajs-2702	80	11	the	the	DET
iajs-2702	80	12	soft	soft	ADJ
iajs-2702	80	13	ideal	ideal	ADJ
iajs-2702	80	14	topological	topological	ADJ
iajs-2702	80	15	space	space	NOUN
iajs-2702	80	16	(	(	PUNCT
iajs-2702	80	17	ӽ	ӽ	NOUN
iajs-2702	80	18	,	,	PUNCT
iajs-2702	80	19	ʈ	ʈ	X
iajs-2702	80	20	,	,	PUNCT
iajs-2702	80	21	ɖ	ɖ	NOUN
iajs-2702	80	22	,	,	PUNCT
iajs-2702	80	23	ᶅ	ᶅ	PROPN
iajs-2702	80	24	)	)	PUNCT
iajs-2702	80	25	,	,	PUNCT
iajs-2702	80	26	let	let	VERB
iajs-2702	80	27	(	(	PUNCT
iajs-2702	80	28	f	f	X
iajs-2702	80	29	,	,	PUNCT
iajs-2702	80	30	ɖ	ɖ	X
iajs-2702	80	31	)	)	PUNCT
iajs-2702	80	32	∈	∈	PROPN
iajs-2702	80	33	şş(ӽ)ɖ	şş(ӽ)ɖ	PROPN
iajs-2702	81	1	then	then	ADV
iajs-2702	81	2	,	,	PUNCT
iajs-2702	81	3	(	(	PUNCT
iajs-2702	81	4	f	f	X
iajs-2702	81	5	,	,	PUNCT
iajs-2702	81	6	ɖ	ɖ	X
iajs-2702	81	7	)	)	PUNCT
iajs-2702	81	8	is	be	AUX
iajs-2702	81	9	a	a	DET
iajs-2702	81	10	soft	soft	ADJ
iajs-2702	81	11	-	-	PUNCT
iajs-2702	81	12	ᶅ-𝑝𝑟𝑒-𝑔-closed	ᶅ-𝑝𝑟𝑒-𝑔-close	VERB
iajs-2702	81	13	set	set	NOUN
iajs-2702	81	14	(	(	PUNCT
iajs-2702	81	15	briefly	briefly	ADV
iajs-2702	81	16	sᶅ𝑝𝑔-closed	sᶅ𝑝𝑔-close	VERB
iajs-2702	81	17	)	)	PUNCT
iajs-2702	81	18	.	.	PUNCT
iajs-2702	82	1	if	if	SCONJ
iajs-2702	82	2	(	(	PUNCT
iajs-2702	82	3	𝐹	𝐹	PROPN
iajs-2702	82	4	,	,	PUNCT
iajs-2702	82	5	ɖ	ɖ	X
iajs-2702	82	6	)	)	PUNCT
iajs-2702	82	7	(	(	PUNCT
iajs-2702	82	8	ƞ	ƞ	NOUN
iajs-2702	82	9	,	,	PUNCT
iajs-2702	82	10	ɖ	ɖ	X
iajs-2702	82	11	)	)	PUNCT
iajs-2702	82	12	∈	∈	PROPN
iajs-2702	82	13	ᶅ	ᶅ	X
iajs-2702	82	14	then	then	ADV
iajs-2702	82	15	,	,	PUNCT
iajs-2702	82	16	cl(f	cl(f	PROPN
iajs-2702	82	17	,	,	PUNCT
iajs-2702	82	18	ɖ	ɖ	X
iajs-2702	82	19	)	)	PUNCT
iajs-2702	82	20	–	–	PUNCT
iajs-2702	82	21	(	(	PUNCT
iajs-2702	82	22	ƞ	ƞ	NOUN
iajs-2702	82	23	,	,	PUNCT
iajs-2702	82	24	ɖ	ɖ	X
iajs-2702	82	25	)	)	PUNCT
iajs-2702	82	26	∈	∈	PROPN
iajs-2702	82	27	ᶅ	ᶅ	NOUN
iajs-2702	82	28	for	for	ADP
iajs-2702	82	29	each	each	DET
iajs-2702	82	30	(	(	PUNCT
iajs-2702	82	31	ƞ	ƞ	NOUN
iajs-2702	82	32	,	,	PUNCT
iajs-2702	82	33	ɖ	ɖ	X
iajs-2702	82	34	)	)	PUNCT
iajs-2702	82	35	∈	∈	PROPN
iajs-2702	82	36	ş𝑝o(ӽ	ş𝑝o(ӽ	PROPN
iajs-2702	82	37	)	)	PUNCT
iajs-2702	82	38	,	,	PUNCT
iajs-2702	82	39	and	and	CCONJ
iajs-2702	82	40	ӽ̃	ӽ̃	PROPN
iajs-2702	82	41	–	–	PUNCT
iajs-2702	82	42	(	(	PUNCT
iajs-2702	82	43	f	f	X
iajs-2702	82	44	,	,	PUNCT
iajs-2702	82	45	ɖ	ɖ	X
iajs-2702	82	46	)	)	PUNCT
iajs-2702	82	47	is	be	AUX
iajs-2702	82	48	a	a	DET
iajs-2702	82	49	𝑠𝑜𝑓𝑡-ᶅ-𝑝𝑟𝑒-𝑔open	𝑠𝑜𝑓𝑡-ᶅ-𝑝𝑟𝑒-𝑔open	NOUN
iajs-2702	82	50	set	set	NOUN
iajs-2702	82	51	(	(	PUNCT
iajs-2702	82	52	briefly	briefly	ADV
iajs-2702	82	53	𝑠ᶅ𝑝𝑔-open	𝑠ᶅ𝑝𝑔-open	ADJ
iajs-2702	82	54	set	set	NOUN
iajs-2702	82	55	)	)	PUNCT
iajs-2702	82	56	.	.	PUNCT
iajs-2702	83	1	the	the	DET
iajs-2702	83	2	family	family	NOUN
iajs-2702	83	3	of	of	ADP
iajs-2702	83	4	all	all	DET
iajs-2702	83	5	𝑠ᶅ𝑝𝑔closed	𝑠ᶅ𝑝𝑔close	VERB
iajs-2702	83	6	sets	set	NOUN
iajs-2702	83	7	(	(	PUNCT
iajs-2702	83	8	briefly	briefly	NOUN
iajs-2702	83	9	𝑠ᶅ𝑝𝑔-c(ӽ	𝑠ᶅ𝑝𝑔-c(ӽ	NOUN
iajs-2702	83	10	)	)	PUNCT
iajs-2702	83	11	)	)	PUNCT
iajs-2702	83	12	and	and	CCONJ
iajs-2702	83	13	the	the	DET
iajs-2702	83	14	family	family	NOUN
iajs-2702	83	15	of	of	ADP
iajs-2702	83	16	all	all	DET
iajs-2702	83	17	sᶅ𝑝𝑔-open	sᶅ𝑝𝑔-open	ADJ
iajs-2702	83	18	soft	soft	ADJ
iajs-2702	83	19	sets	set	NOUN
iajs-2702	83	20	(	(	PUNCT
iajs-2702	83	21	briefly	briefly	NOUN
iajs-2702	83	22	𝑠ᶅ𝑝𝑔-o(ӽ	𝑠ᶅ𝑝𝑔-o(ӽ	PROPN
iajs-2702	83	23	)	)	PUNCT
iajs-2702	83	24	)	)	PUNCT
iajs-2702	83	25	.	.	PUNCT
iajs-2702	84	1	example	example	NOUN
iajs-2702	84	2	3.2	3.2	NUM
iajs-2702	84	3	:	:	PUNCT
iajs-2702	84	4	for	for	ADP
iajs-2702	84	5	a	a	DET
iajs-2702	84	6	space	space	NOUN
iajs-2702	84	7	(	(	PUNCT
iajs-2702	84	8	ӽ	ӽ	NOUN
iajs-2702	84	9	,	,	PUNCT
iajs-2702	84	10	ʈ	ʈ	X
iajs-2702	84	11	,	,	PUNCT
iajs-2702	84	12	ɖ	ɖ	NOUN
iajs-2702	84	13	,	,	PUNCT
iajs-2702	84	14	ᶅ	ᶅ	NOUN
iajs-2702	84	15	)	)	PUNCT
iajs-2702	84	16	,	,	PUNCT
iajs-2702	84	17	whenever	whenever	SCONJ
iajs-2702	84	18	ӽ	ӽ	X
iajs-2702	84	19	=	=	PRON
iajs-2702	84	20	{	{	PUNCT
iajs-2702	84	21	ᶒ	ᶒ	PROPN
iajs-2702	84	22	,	,	PUNCT
iajs-2702	84	23	ᶆ	ᶆ	PROPN
iajs-2702	84	24	}	}	PUNCT
iajs-2702	84	25	,	,	PUNCT
iajs-2702	84	26	ɖ	ɖ	X
iajs-2702	84	27	=	=	X
iajs-2702	84	28	{	{	PUNCT
iajs-2702	84	29	d1	d1	PROPN
iajs-2702	84	30	,	,	PUNCT
iajs-2702	84	31	d2	d2	PROPN
iajs-2702	84	32	}	}	PUNCT
iajs-2702	84	33	,	,	PUNCT
iajs-2702	84	34	ʈ={∅̃,x̃	ʈ={∅̃,x̃	PROPN
iajs-2702	84	35	,	,	PUNCT
iajs-2702	84	36	(	(	PUNCT
iajs-2702	84	37	f	f	X
iajs-2702	84	38	,	,	PUNCT
iajs-2702	84	39	ɖ	ɖ	X
iajs-2702	84	40	)	)	PUNCT
iajs-2702	84	41	,	,	PUNCT
iajs-2702	84	42	(	(	PUNCT
iajs-2702	84	43	ƞ	ƞ	NOUN
iajs-2702	84	44	,	,	PUNCT
iajs-2702	84	45	ɖ	ɖ	NOUN
iajs-2702	84	46	)	)	PUNCT
iajs-2702	84	47	}	}	PUNCT
iajs-2702	84	48	,	,	PUNCT
iajs-2702	84	49	ᶅ	ᶅ	X
iajs-2702	84	50	=	=	PRON
iajs-2702	84	51	{	{	PUNCT
iajs-2702	84	52	∅̃	∅̃	NOUN
iajs-2702	84	53	,	,	PUNCT
iajs-2702	84	54	ℳ	ℳ	PROPN
iajs-2702	84	55	}	}	PUNCT
iajs-2702	84	56	such	such	ADJ
iajs-2702	84	57	𝑡ℎ𝑎𝑡	𝑡ℎ𝑎𝑡	ADJ
iajs-2702	84	58	(	(	PUNCT
iajs-2702	84	59	f	f	X
iajs-2702	84	60	,	,	PUNCT
iajs-2702	84	61	ɖ)={(d1	ɖ)={(d1	NOUN
iajs-2702	84	62	,	,	PUNCT
iajs-2702	84	63	{	{	PUNCT
iajs-2702	84	64	∅	∅	NOUN
iajs-2702	84	65	}	}	PUNCT
iajs-2702	84	66	)	)	PUNCT
iajs-2702	84	67	,	,	PUNCT
iajs-2702	84	68	(	(	PUNCT
iajs-2702	84	69	d2	d2	PROPN
iajs-2702	84	70	,	,	PUNCT
iajs-2702	84	71	{	{	PUNCT
iajs-2702	84	72	ᶒ	ᶒ	PROPN
iajs-2702	84	73	}	}	PUNCT
iajs-2702	84	74	)	)	PUNCT
iajs-2702	84	75	}	}	PUNCT
iajs-2702	84	76	,	,	PUNCT
iajs-2702	84	77	and	and	CCONJ
iajs-2702	84	78	(	(	PUNCT
iajs-2702	84	79	ƞ	ƞ	NOUN
iajs-2702	84	80	,	,	PUNCT
iajs-2702	84	81	ɖ)=	ɖ)=	NOUN
iajs-2702	84	82	{	{	PUNCT
iajs-2702	84	83	(	(	PUNCT
iajs-2702	84	84	d1,{ᶒ}),(d2,{ᶒ	d1,{ᶒ}),(d2,{ᶒ	PROPN
iajs-2702	84	85	}	}	PUNCT
iajs-2702	84	86	)	)	PUNCT
iajs-2702	84	87	}	}	PUNCT
iajs-2702	84	88	and	and	CCONJ
iajs-2702	84	89	(	(	PUNCT
iajs-2702	84	90	𝑀	𝑀	PROPN
iajs-2702	84	91	,	,	PUNCT
iajs-2702	84	92	ɖ)={(d1	ɖ)={(d1	PROPN
iajs-2702	84	93	,	,	PUNCT
iajs-2702	84	94	{	{	PUNCT
iajs-2702	84	95	ø	ø	NOUN
iajs-2702	84	96	}	}	PUNCT
iajs-2702	84	97	)	)	PUNCT
iajs-2702	84	98	,	,	PUNCT
iajs-2702	84	99	(	(	PUNCT
iajs-2702	84	100	d2	d2	PROPN
iajs-2702	84	101	,	,	PUNCT
iajs-2702	84	102	{	{	PUNCT
iajs-2702	84	103	ᶒ	ᶒ	PROPN
iajs-2702	84	104	}	}	PUNCT
iajs-2702	84	105	)	)	PUNCT
iajs-2702	84	106	}	}	PUNCT
iajs-2702	84	107	then	then	ADV
iajs-2702	84	108	,	,	PUNCT
iajs-2702	84	109	ş𝑝o(ӽ	ş𝑝o(ӽ	PROPN
iajs-2702	84	110	)	)	PUNCT
iajs-2702	84	111	=	=	PRON
iajs-2702	84	112	{	{	PUNCT
iajs-2702	84	113	∅̃	∅̃	NOUN
iajs-2702	84	114	,	,	PUNCT
iajs-2702	84	115	ӽ̃	ӽ̃	PROPN
iajs-2702	84	116	,	,	PUNCT
iajs-2702	84	117	(	(	PUNCT
iajs-2702	84	118	𝐹	𝐹	PROPN
iajs-2702	84	119	,	,	PUNCT
iajs-2702	84	120	ɖ	ɖ	NOUN
iajs-2702	84	121	)	)	PUNCT
iajs-2702	84	122	,	,	PUNCT
iajs-2702	84	123	(	(	PUNCT
iajs-2702	84	124	ƞ	ƞ	NOUN
iajs-2702	84	125	,	,	PUNCT
iajs-2702	84	126	ɖ	ɖ	NOUN
iajs-2702	84	127	)	)	PUNCT
iajs-2702	84	128	,	,	PUNCT
iajs-2702	84	129	(	(	PUNCT
iajs-2702	84	130	𝒵	𝒵	PROPN
iajs-2702	84	131	,	,	PUNCT
iajs-2702	84	132	ɖ	ɖ	NOUN
iajs-2702	84	133	)	)	PUNCT
iajs-2702	84	134	,	,	PUNCT
iajs-2702	84	135	(	(	PUNCT
iajs-2702	84	136	ℋ	ℋ	NOUN
iajs-2702	84	137	,	,	PUNCT
iajs-2702	84	138	ɖ	ɖ	NOUN
iajs-2702	84	139	)	)	PUNCT
iajs-2702	84	140	,	,	PUNCT
iajs-2702	84	141	(	(	PUNCT
iajs-2702	84	142	ℰ	ℰ	NOUN
iajs-2702	84	143	,	,	PUNCT
iajs-2702	84	144	ɖ	ɖ	NOUN
iajs-2702	84	145	)	)	PUNCT
iajs-2702	84	146	,	,	PUNCT
iajs-2702	84	147	(	(	PUNCT
iajs-2702	84	148	𝒩	𝒩	PROPN
iajs-2702	84	149	,	,	PUNCT
iajs-2702	84	150	ɖ	ɖ	NOUN
iajs-2702	84	151	)	)	PUNCT
iajs-2702	84	152	,	,	PUNCT
iajs-2702	84	153	(	(	PUNCT
iajs-2702	84	154	𝒢	𝒢	NOUN
iajs-2702	84	155	,	,	PUNCT
iajs-2702	84	156	ɖ	ɖ	NOUN
iajs-2702	84	157	)	)	PUNCT
iajs-2702	84	158	}	}	PUNCT
iajs-2702	84	159	,	,	PUNCT
iajs-2702	84	160	sᶅ𝑝𝑔-𝐶(ӽ)=	sᶅ𝑝𝑔-𝐶(ӽ)=	X
iajs-2702	84	161	{	{	PUNCT
iajs-2702	84	162	ӽ,̃	ӽ,̃	NOUN
iajs-2702	84	163	∅̃	∅̃	NOUN
iajs-2702	84	164	,	,	PUNCT
iajs-2702	84	165	(	(	PUNCT
iajs-2702	84	166	f′	f′	ADV
iajs-2702	84	167	,	,	PUNCT
iajs-2702	84	168	ɖ	ɖ	NOUN
iajs-2702	84	169	)	)	PUNCT
iajs-2702	84	170	,	,	PUNCT
iajs-2702	84	171	(	(	PUNCT
iajs-2702	84	172	ƞ′	ƞ′	NOUN
iajs-2702	84	173	,	,	PUNCT
iajs-2702	84	174	ɖ	ɖ	NOUN
iajs-2702	84	175	)	)	PUNCT
iajs-2702	84	176	}	}	PUNCT
iajs-2702	84	177	;	;	PUNCT
iajs-2702	84	178	(	(	PUNCT
iajs-2702	84	179	f′	f′	ADV
iajs-2702	84	180	,	,	PUNCT
iajs-2702	84	181	ɖ))={(d1	ɖ))={(d1	NOUN
iajs-2702	84	182	,	,	PUNCT
iajs-2702	84	183	{	{	PUNCT
iajs-2702	84	184	ӽ	ӽ	X
iajs-2702	84	185	}	}	PUNCT
iajs-2702	84	186	)	)	PUNCT
iajs-2702	84	187	,	,	PUNCT
iajs-2702	84	188	(	(	PUNCT
iajs-2702	84	189	d2	d2	PROPN
iajs-2702	84	190	,	,	PUNCT
iajs-2702	84	191	{	{	PUNCT
iajs-2702	84	192	ᶆ	ᶆ	X
iajs-2702	84	193	}	}	PUNCT
iajs-2702	84	194	)	)	PUNCT
iajs-2702	84	195	}	}	PUNCT
iajs-2702	84	196	,	,	PUNCT
iajs-2702	84	197	(	(	PUNCT
iajs-2702	84	198	ƞ′	ƞ′	NOUN
iajs-2702	84	199	,	,	PUNCT
iajs-2702	84	200	ɖ)=	ɖ)=	NOUN
iajs-2702	84	201	{	{	PUNCT
iajs-2702	84	202	(	(	PUNCT
iajs-2702	84	203	d1,{ᶆ}),(d2,{ᶆ	d1,{ᶆ}),(d2,{ᶆ	PROPN
iajs-2702	84	204	}	}	PUNCT
iajs-2702	84	205	)	)	PUNCT
iajs-2702	84	206	}	}	PUNCT
iajs-2702	85	1	such	such	ADJ
iajs-2702	85	2	that	that	SCONJ
iajs-2702	85	3	,	,	PUNCT
iajs-2702	85	4	(	(	PUNCT
iajs-2702	85	5	𝒵	𝒵	PROPN
iajs-2702	85	6	,	,	PUNCT
iajs-2702	85	7	ɖ)={(𝑑1,∅),(𝑑2	ɖ)={(𝑑1,∅),(𝑑2	PROPN
iajs-2702	85	8	,	,	PUNCT
iajs-2702	85	9	ӽ	ӽ	NOUN
iajs-2702	85	10	)	)	PUNCT
iajs-2702	85	11	}	}	PUNCT
iajs-2702	85	12	,	,	PUNCT
iajs-2702	85	13	(	(	PUNCT
iajs-2702	85	14	ℋ	ℋ	PROPN
iajs-2702	85	15	,	,	PUNCT
iajs-2702	85	16	ɖ)=	ɖ)=	NOUN
iajs-2702	85	17	{	{	PUNCT
iajs-2702	85	18	(	(	PUNCT
iajs-2702	85	19	d1	d1	PROPN
iajs-2702	85	20	,	,	PUNCT
iajs-2702	85	21	{	{	PUNCT
iajs-2702	85	22	ᶒ	ᶒ	PROPN
iajs-2702	85	23	}	}	PUNCT
iajs-2702	85	24	)	)	PUNCT
iajs-2702	85	25	,	,	PUNCT
iajs-2702	85	26	(	(	PUNCT
iajs-2702	85	27	d2	d2	PROPN
iajs-2702	85	28	,	,	PUNCT
iajs-2702	85	29	ӽ	ӽ	NOUN
iajs-2702	85	30	)	)	PUNCT
iajs-2702	85	31	}	}	PUNCT
iajs-2702	85	32	,	,	PUNCT
iajs-2702	85	33	(	(	PUNCT
iajs-2702	85	34	ℰ	ℰ	NOUN
iajs-2702	85	35	,	,	PUNCT
iajs-2702	85	36	ɖ	ɖ	X
iajs-2702	85	37	)	)	PUNCT
iajs-2702	85	38	=	=	NOUN
iajs-2702	85	39	{	{	PUNCT
iajs-2702	85	40	(	(	PUNCT
iajs-2702	85	41	𝑑1,{ᶆ}),(𝑑2,{ᶒ	𝑑1,{ᶆ}),(𝑑2,{ᶒ	PROPN
iajs-2702	85	42	}	}	PUNCT
iajs-2702	85	43	)	)	PUNCT
iajs-2702	85	44	}	}	PUNCT
iajs-2702	85	45	,	,	PUNCT
iajs-2702	85	46	(	(	PUNCT
iajs-2702	85	47	𝒩	𝒩	PROPN
iajs-2702	85	48	,	,	PUNCT
iajs-2702	85	49	ɖ)={(𝑑1,{ᶆ}),(𝑑2	ɖ)={(𝑑1,{ᶆ}),(𝑑2	NOUN
iajs-2702	85	50	,	,	PUNCT
iajs-2702	85	51	ӽ	ӽ	X
iajs-2702	85	52	)	)	PUNCT
iajs-2702	85	53	}	}	PUNCT
iajs-2702	85	54	and	and	CCONJ
iajs-2702	85	55	(	(	PUNCT
iajs-2702	85	56	𝒢	𝒢	PROPN
iajs-2702	85	57	,	,	PUNCT
iajs-2702	85	58	ɖ	ɖ	X
iajs-2702	85	59	)	)	PUNCT
iajs-2702	85	60	=	=	SYM
iajs-2702	85	61	{	{	PUNCT
iajs-2702	85	62	(	(	PUNCT
iajs-2702	85	63	𝑑1	𝑑1	NOUN
iajs-2702	85	64	,	,	PUNCT
iajs-2702	85	65	ӽ),(𝑑2,{ᶒ	ӽ),(𝑑2,{ᶒ	X
iajs-2702	85	66	}	}	PUNCT
iajs-2702	85	67	)	)	PUNCT
iajs-2702	85	68	}	}	PUNCT
iajs-2702	85	69	,	,	PUNCT
iajs-2702	85	70	and	and	CCONJ
iajs-2702	85	71	𝑠ᶅ𝑝𝑔-o(ӽ	𝑠ᶅ𝑝𝑔-o(ӽ	NOUN
iajs-2702	85	72	)	)	PUNCT
iajs-2702	86	1	=	=	SYM
iajs-2702	86	2	ʈ	ʈ	NOUN
iajs-2702	86	3	.	.	PUNCT
iajs-2702	86	4	remark	remark	VERB
iajs-2702	86	5	3.3	3.3	NUM
iajs-2702	86	6	:	:	PUNCT
iajs-2702	86	7	for	for	ADP
iajs-2702	86	8	any	any	DET
iajs-2702	86	9	(	(	PUNCT
iajs-2702	86	10	ӽ	ӽ	NOUN
iajs-2702	86	11	,	,	PUNCT
iajs-2702	86	12	ʈ	ʈ	X
iajs-2702	86	13	,	,	PUNCT
iajs-2702	86	14	ɖ	ɖ	NOUN
iajs-2702	86	15	,	,	PUNCT
iajs-2702	86	16	ᶅ	ᶅ	NOUN
iajs-2702	86	17	)	)	PUNCT
iajs-2702	86	18	then	then	ADV
iajs-2702	86	19	i.	i.	PROPN
iajs-2702	86	20	every	every	DET
iajs-2702	86	21	closed	closed	ADJ
iajs-2702	86	22	𝑠𝑜𝑓𝑡	𝑠𝑜𝑓𝑡	NOUN
iajs-2702	86	23	𝑠𝑒𝑡	𝑠𝑒𝑡	NOUN
iajs-2702	86	24	is	be	AUX
iajs-2702	86	25	a	a	DET
iajs-2702	86	26	sᶅ𝑝𝑔-closed	sᶅ𝑝𝑔-closed	ADJ
iajs-2702	86	27	.	.	PUNCT
iajs-2702	86	28	ii	ii	PROPN
iajs-2702	86	29	.	.	PUNCT
iajs-2702	87	1	every	every	DET
iajs-2702	87	2	𝑜𝑝𝑒𝑛	𝑜𝑝𝑒𝑛	NOUN
iajs-2702	87	3	𝑠𝑜𝑓𝑡	𝑠𝑜𝑓𝑡	NOUN
iajs-2702	87	4	𝑠𝑒𝑡	𝑠𝑒𝑡	NOUN
iajs-2702	87	5	is	be	AUX
iajs-2702	87	6	a	a	DET
iajs-2702	87	7	sᶅ𝑝𝑔-open	sᶅ𝑝𝑔-open	NOUN
iajs-2702	87	8	.	.	PUNCT
iajs-2702	88	1	proof	proof	NOUN
iajs-2702	88	2	(	(	PUNCT
iajs-2702	88	3	i	i	NOUN
iajs-2702	88	4	)	)	PUNCT
iajs-2702	88	5	let	let	VERB
iajs-2702	88	6	(	(	PUNCT
iajs-2702	88	7	ℳ	ℳ	NOUN
iajs-2702	88	8	,	,	PUNCT
iajs-2702	88	9	ɖ	ɖ	X
iajs-2702	88	10	)	)	PUNCT
iajs-2702	88	11	be	be	VERB
iajs-2702	88	12	any	any	DET
iajs-2702	88	13	closed	closed	ADJ
iajs-2702	88	14	soft	soft	ADJ
iajs-2702	88	15	set	set	NOUN
iajs-2702	88	16	in	in	ADP
iajs-2702	88	17	(	(	PUNCT
iajs-2702	88	18	ӽ	ӽ	NOUN
iajs-2702	88	19	,	,	PUNCT
iajs-2702	88	20	ʈ	ʈ	X
iajs-2702	88	21	,	,	PUNCT
iajs-2702	88	22	ɖ	ɖ	NOUN
iajs-2702	88	23	,	,	PUNCT
iajs-2702	88	24	ᶅ	ᶅ	NOUN
iajs-2702	88	25	)	)	PUNCT
iajs-2702	88	26	and	and	CCONJ
iajs-2702	88	27	(	(	PUNCT
iajs-2702	88	28	ƞ	ƞ	NOUN
iajs-2702	88	29	,	,	PUNCT
iajs-2702	88	30	ɖ	ɖ	X
iajs-2702	88	31	)	)	PUNCT
iajs-2702	88	32	be	be	VERB
iajs-2702	88	33	a	a	DET
iajs-2702	88	34	soft-𝑝𝑟𝑒-open	soft-𝑝𝑟𝑒-open	NOUN
iajs-2702	88	35	set	set	NOUN
iajs-2702	88	36	such	such	ADJ
iajs-2702	88	37	that	that	SCONJ
iajs-2702	88	38	(	(	PUNCT
iajs-2702	88	39	ℳ	ℳ	PROPN
iajs-2702	88	40	,	,	PUNCT
iajs-2702	88	41	ɖ	ɖ	NOUN
iajs-2702	88	42	)	)	PUNCT
iajs-2702	88	43	–	–	PUNCT
iajs-2702	88	44	(	(	PUNCT
iajs-2702	88	45	ƞ	ƞ	NOUN
iajs-2702	88	46	,	,	PUNCT
iajs-2702	88	47	ɖ	ɖ	X
iajs-2702	88	48	)	)	PUNCT
iajs-2702	88	49	∈	∈	PROPN
iajs-2702	88	50	ᶅ	ᶅ	NOUN
iajs-2702	88	51	,	,	PUNCT
iajs-2702	88	52	but	but	CCONJ
iajs-2702	88	53	cl(ℳ	cl(ℳ	PROPN
iajs-2702	88	54	,	,	PUNCT
iajs-2702	88	55	ɖ	ɖ	X
iajs-2702	88	56	)	)	PUNCT
iajs-2702	88	57	=	=	SYM
iajs-2702	88	58	(	(	PUNCT
iajs-2702	88	59	ℳ	ℳ	PROPN
iajs-2702	88	60	,	,	PUNCT
iajs-2702	88	61	ɖ	ɖ	NOUN
iajs-2702	88	62	)	)	PUNCT
iajs-2702	88	63	,	,	PUNCT
iajs-2702	88	64	since	since	SCONJ
iajs-2702	88	65	(	(	PUNCT
iajs-2702	88	66	ℳ	ℳ	PROPN
iajs-2702	88	67	,	,	PUNCT
iajs-2702	88	68	ɖ	ɖ	X
iajs-2702	88	69	)	)	PUNCT
iajs-2702	88	70	is	be	AUX
iajs-2702	88	71	a	a	DET
iajs-2702	88	72	closed	closed	ADJ
iajs-2702	88	73	soft	soft	ADJ
iajs-2702	88	74	set	set	NOUN
iajs-2702	88	75	so	so	ADV
iajs-2702	88	76	,	,	PUNCT
iajs-2702	88	77	cl(ℳ	cl(ℳ	PROPN
iajs-2702	88	78	,	,	PUNCT
iajs-2702	88	79	ɖ)(ƞ	ɖ)(ƞ	NOUN
iajs-2702	88	80	,	,	PUNCT
iajs-2702	88	81	ɖ	ɖ	X
iajs-2702	88	82	)	)	PUNCT
iajs-2702	88	83	=	=	SYM
iajs-2702	88	84	(	(	PUNCT
iajs-2702	88	85	ℳ	ℳ	PROPN
iajs-2702	88	86	,	,	PUNCT
iajs-2702	88	87	ɖ	ɖ	NOUN
iajs-2702	88	88	)	)	PUNCT
iajs-2702	88	89	–	–	PUNCT
iajs-2702	88	90	(	(	PUNCT
iajs-2702	88	91	ƞ	ƞ	NOUN
iajs-2702	88	92	,	,	PUNCT
iajs-2702	88	93	ɖ	ɖ	X
iajs-2702	88	94	)	)	PUNCT
iajs-2702	88	95	∈	∈	PROPN
iajs-2702	88	96	ᶅ	ᶅ	NOUN
iajs-2702	88	97	;	;	PUNCT
iajs-2702	88	98	this	this	PRON
iajs-2702	88	99	implies	imply	VERB
iajs-2702	88	100	(	(	PUNCT
iajs-2702	88	101	ℳ	ℳ	NOUN
iajs-2702	88	102	,	,	PUNCT
iajs-2702	88	103	ɖ	ɖ	X
iajs-2702	88	104	)	)	PUNCT
iajs-2702	88	105	is	be	AUX
iajs-2702	88	106	a	a	DET
iajs-2702	88	107	soft	soft	ADJ
iajs-2702	88	108	-	-	PUNCT
iajs-2702	88	109	ᶅ-𝑝𝑟𝑒-𝑔-closed	ᶅ-𝑝𝑟𝑒-𝑔-close	VERB
iajs-2702	88	110	soft	soft	ADJ
iajs-2702	88	111	set	set	NOUN
iajs-2702	88	112	.	.	PUNCT
iajs-2702	89	1	(	(	PUNCT
iajs-2702	89	2	ii	ii	NOUN
iajs-2702	89	3	)	)	PUNCT
iajs-2702	89	4	let	let	VERB
iajs-2702	89	5	(	(	PUNCT
iajs-2702	89	6	ƞ	ƞ	NOUN
iajs-2702	89	7	,	,	PUNCT
iajs-2702	89	8	ɖ	ɖ	X
iajs-2702	89	9	)	)	PUNCT
iajs-2702	89	10	be	be	VERB
iajs-2702	89	11	any	any	DET
iajs-2702	89	12	open	open	ADJ
iajs-2702	89	13	soft	soft	ADJ
iajs-2702	89	14	set	set	NOUN
iajs-2702	89	15	in	in	ADP
iajs-2702	89	16	(	(	PUNCT
iajs-2702	89	17	ӽ	ӽ	NOUN
iajs-2702	89	18	,	,	PUNCT
iajs-2702	89	19	ʈ	ʈ	X
iajs-2702	89	20	,	,	PUNCT
iajs-2702	89	21	ɖ	ɖ	NOUN
iajs-2702	89	22	,	,	PUNCT
iajs-2702	89	23	ᶅ	ᶅ	NOUN
iajs-2702	89	24	)	)	PUNCT
iajs-2702	89	25	then	then	ADV
iajs-2702	89	26	ӽ̃	ӽ̃	PROPN
iajs-2702	89	27	–	–	PUNCT
iajs-2702	89	28	(	(	PUNCT
iajs-2702	89	29	ƞ	ƞ	NOUN
iajs-2702	89	30	,	,	PUNCT
iajs-2702	89	31	ɖ)is	ɖ)is	PROPN
iajs-2702	89	32	a	a	DET
iajs-2702	89	33	closed	close	VERB
iajs-2702	89	34	soft	soft	ADJ
iajs-2702	89	35	set	set	NOUN
iajs-2702	89	36	this	this	PRON
iajs-2702	89	37	implies	imply	VERB
iajs-2702	89	38	by	by	ADP
iajs-2702	89	39	(	(	PUNCT
iajs-2702	89	40	i	i	NOUN
iajs-2702	89	41	)	)	PUNCT
iajs-2702	89	42	(	(	PUNCT
iajs-2702	89	43	ӽ	ӽ	X
iajs-2702	89	44	̃	̃	PROPN
iajs-2702	89	45	(	(	PUNCT
iajs-2702	89	46	ℳ	ℳ	PROPN
iajs-2702	89	47	,	,	PUNCT
iajs-2702	89	48	ɖ))is	ɖ))i	VERB
iajs-2702	89	49	a	a	DET
iajs-2702	89	50	sᶅ𝑝𝑔-closed	sᶅ𝑝𝑔-closed	ADJ
iajs-2702	89	51	set	set	NOUN
iajs-2702	89	52	;	;	PUNCT
iajs-2702	89	53	thus	thus	ADV
iajs-2702	89	54	(	(	PUNCT
iajs-2702	89	55	ℳ	ℳ	PROPN
iajs-2702	89	56	,	,	PUNCT
iajs-2702	89	57	ɖ)is	ɖ)is	PROPN
iajs-2702	89	58	a	a	DET
iajs-2702	89	59	sᶅ𝑝𝑔-open	sᶅ𝑝𝑔-open	ADJ
iajs-2702	89	60	soft	soft	ADJ
iajs-2702	89	61	set	set	NOUN
iajs-2702	89	62	.	.	PUNCT
iajs-2702	90	1	the	the	DET
iajs-2702	90	2	converse	converse	NOUN
iajs-2702	90	3	of	of	ADP
iajs-2702	90	4	remark	remark	NOUN
iajs-2702	90	5	3.3	3.3	NUM
iajs-2702	90	6	is	be	AUX
iajs-2702	90	7	not	not	PART
iajs-2702	90	8	hold	hold	ADJ
iajs-2702	90	9	.	.	PUNCT
iajs-2702	91	1	see	see	VERB
iajs-2702	91	2	example	example	NOUN
iajs-2702	91	3	3.4	3.4	NUM
iajs-2702	91	4	example	example	NOUN
iajs-2702	91	5	3.4	3.4	NUM
iajs-2702	91	6	:	:	PUNCT
iajs-2702	91	7	𝐶𝑜𝑛𝑠𝑖𝑑𝑒𝑟	𝐶𝑜𝑛𝑠𝑖𝑑𝑒𝑟	PROPN
iajs-2702	91	8	ӽ	ӽ	NOUN
iajs-2702	91	9	=	=	PUNCT
iajs-2702	91	10	{	{	PUNCT
iajs-2702	91	11	ᶒ	ᶒ	PROPN
iajs-2702	91	12	,	,	PUNCT
iajs-2702	91	13	ᶆ	ᶆ	PROPN
iajs-2702	91	14	}	}	PUNCT
iajs-2702	91	15	,	,	PUNCT
iajs-2702	91	16	ɖ	ɖ	X
iajs-2702	91	17	=	=	PRON
iajs-2702	91	18	{	{	PUNCT
iajs-2702	91	19	𝑑1	𝑑1	NOUN
iajs-2702	91	20	,	,	PUNCT
iajs-2702	91	21	d2},ʈ={∅̃,χ̃	d2},ʈ={∅̃,χ̃	PROPN
iajs-2702	91	22	,	,	PUNCT
iajs-2702	91	23	f(d	f(d	PROPN
iajs-2702	91	24	)	)	PUNCT
iajs-2702	91	25	=	=	PRON
iajs-2702	91	26	{	{	PUNCT
iajs-2702	91	27	ᶒ	ᶒ	X
iajs-2702	91	28	}	}	PUNCT
iajs-2702	91	29	∀d}then	∀d}then	VERB
iajs-2702	91	30	ş𝑝o(ӽ)=	ş𝑝o(ӽ)=	NUM
iajs-2702	91	31	{	{	PUNCT
iajs-2702	91	32	(	(	PUNCT
iajs-2702	91	33	∅	∅	NOUN
iajs-2702	91	34	)	)	PUNCT
iajs-2702	91	35	̃	̃	PROPN
iajs-2702	91	36	,	,	PUNCT
iajs-2702	91	37	ӽ	ӽ	X
iajs-2702	91	38	̃	̃	PROPN
iajs-2702	91	39	,	,	PUNCT
iajs-2702	91	40	(	(	PUNCT
iajs-2702	91	41	𝑀	𝑀	PROPN
iajs-2702	91	42	,	,	PUNCT
iajs-2702	91	43	ɖ	ɖ	NOUN
iajs-2702	91	44	)	)	PUNCT
iajs-2702	91	45	,	,	PUNCT
iajs-2702	91	46	(	(	PUNCT
iajs-2702	91	47	ƞ	ƞ	NOUN
iajs-2702	91	48	,	,	PUNCT
iajs-2702	91	49	ɖ	ɖ	NOUN
iajs-2702	91	50	)	)	PUNCT
iajs-2702	91	51	,	,	PUNCT
iajs-2702	91	52	(	(	PUNCT
iajs-2702	91	53	𝑍	𝑍	NOUN
iajs-2702	91	54	,	,	PUNCT
iajs-2702	91	55	ɖ	ɖ	NOUN
iajs-2702	91	56	)	)	PUNCT
iajs-2702	91	57	,	,	PUNCT
iajs-2702	91	58	(	(	PUNCT
iajs-2702	91	59	𝐻	𝐻	NOUN
iajs-2702	91	60	,	,	PUNCT
iajs-2702	91	61	ɖ	ɖ	NOUN
iajs-2702	91	62	)	)	PUNCT
iajs-2702	91	63	,	,	PUNCT
iajs-2702	91	64	(	(	PUNCT
iajs-2702	91	65	𝐸	𝐸	PROPN
iajs-2702	91	66	,	,	PUNCT
iajs-2702	91	67	ɖ	ɖ	NOUN
iajs-2702	91	68	)	)	PUNCT
iajs-2702	91	69	,	,	PUNCT
iajs-2702	91	70	(	(	PUNCT
iajs-2702	91	71	𝑁	𝑁	PROPN
iajs-2702	91	72	,	,	PUNCT
iajs-2702	91	73	ɖ	ɖ	NOUN
iajs-2702	91	74	)	)	PUNCT
iajs-2702	91	75	,	,	PUNCT
iajs-2702	91	76	(	(	PUNCT
iajs-2702	91	77	𝐺	𝐺	NOUN
iajs-2702	91	78	,	,	PUNCT
iajs-2702	91	79	ɖ	ɖ	X
iajs-2702	91	80	)	)	PUNCT
iajs-2702	91	81	,	,	PUNCT
iajs-2702	91	82	(	(	PUNCT
iajs-2702	91	83	ȼ	ȼ	NOUN
iajs-2702	91	84	,	,	PUNCT
iajs-2702	91	85	ɖ	ɖ	NOUN
iajs-2702	91	86	)	)	PUNCT
iajs-2702	91	87	,	,	PUNCT
iajs-2702	91	88	(	(	PUNCT
iajs-2702	91	89	𝜔	𝜔	X
iajs-2702	91	90	,	,	PUNCT
iajs-2702	91	91	ɖ	ɖ	NOUN
iajs-2702	91	92	)	)	PUNCT
iajs-2702	91	93	,	,	PUNCT
iajs-2702	91	94	(	(	PUNCT
iajs-2702	91	95	ƌ	ƌ	X
iajs-2702	91	96	,	,	PUNCT
iajs-2702	91	97	ɖ	ɖ	NOUN
iajs-2702	91	98	)	)	PUNCT
iajs-2702	91	99	,	,	PUNCT
iajs-2702	91	100	(	(	PUNCT
iajs-2702	91	101	𝛼	𝛼	X
iajs-2702	91	102	,	,	PUNCT
iajs-2702	91	103	ɖ	ɖ	NOUN
iajs-2702	91	104	)	)	PUNCT
iajs-2702	91	105	}	}	PUNCT
iajs-2702	91	106	,	,	PUNCT
iajs-2702	91	107	such	such	ADJ
iajs-2702	91	108	that	that	SCONJ
iajs-2702	91	109	(	(	PUNCT
iajs-2702	91	110	ℳ	ℳ	PROPN
iajs-2702	91	111	,	,	PUNCT
iajs-2702	91	112	ɖ)={(𝑑1,∅),(d2	ɖ)={(𝑑1,∅),(d2	INTJ
iajs-2702	91	113	,	,	PUNCT
iajs-2702	91	114	{	{	PUNCT
iajs-2702	91	115	ᶒ})},(ƞ	ᶒ})},(ƞ	NOUN
iajs-2702	91	116	,	,	PUNCT
iajs-2702	91	117	ɖ)={(𝑑1,∅),(d2,{ӽ	ɖ)={(𝑑1,∅),(d2,{ӽ	NUM
iajs-2702	91	118	}	}	PUNCT
iajs-2702	91	119	)	)	PUNCT
iajs-2702	91	120	}	}	PUNCT
iajs-2702	91	121	,	,	PUNCT
iajs-2702	91	122	(	(	PUNCT
iajs-2702	91	123	𝒵	𝒵	PROPN
iajs-2702	91	124	,	,	PUNCT
iajs-2702	91	125	ɖ)={(𝑑1,{ᶒ}),(d2	ɖ)={(𝑑1,{ᶒ}),(d2	INTJ
iajs-2702	91	126	,	,	PUNCT
iajs-2702	91	127	{	{	PUNCT
iajs-2702	91	128	∅	∅	NOUN
iajs-2702	91	129	}	}	PUNCT
iajs-2702	91	130	)	)	PUNCT
iajs-2702	91	131	}	}	PUNCT
iajs-2702	91	132	,	,	PUNCT
iajs-2702	91	133	(	(	PUNCT
iajs-2702	91	134	ℋ	ℋ	NOUN
iajs-2702	91	135	,	,	PUNCT
iajs-2702	91	136	ɖ	ɖ	NOUN
iajs-2702	91	137	)	)	PUNCT
iajs-2702	91	138	=	=	NOUN
iajs-2702	91	139	{	{	PUNCT
iajs-2702	91	140	(	(	PUNCT
iajs-2702	91	141	𝑑1,{ᶒ}),(d2,{ᶒ	𝑑1,{ᶒ}),(d2,{ᶒ	PROPN
iajs-2702	91	142	}	}	PUNCT
iajs-2702	91	143	)	)	PUNCT
iajs-2702	91	144	}	}	PUNCT
iajs-2702	91	145	,	,	PUNCT
iajs-2702	91	146	(	(	PUNCT
iajs-2702	91	147	ℰ	ℰ	NOUN
iajs-2702	91	148	,	,	PUNCT
iajs-2702	91	149	ɖ)=	ɖ)=	NOUN
iajs-2702	91	150	{	{	PUNCT
iajs-2702	91	151	(	(	PUNCT
iajs-2702	91	152	𝑑1	𝑑1	NOUN
iajs-2702	91	153	,	,	PUNCT
iajs-2702	91	154	{	{	PUNCT
iajs-2702	91	155	ᶒ	ᶒ	PROPN
iajs-2702	91	156	}	}	PUNCT
iajs-2702	91	157	)	)	PUNCT
iajs-2702	91	158	,	,	PUNCT
iajs-2702	91	159	(	(	PUNCT
iajs-2702	91	160	d2,{ᶆ	d2,{ᶆ	ADJ
iajs-2702	91	161	}	}	PUNCT
iajs-2702	91	162	)	)	PUNCT
iajs-2702	91	163	}	}	PUNCT
iajs-2702	91	164	,	,	PUNCT
iajs-2702	91	165	(	(	PUNCT
iajs-2702	91	166	𝒩	𝒩	PROPN
iajs-2702	91	167	,	,	PUNCT
iajs-2702	91	168	ɖ)={(𝑑1	ɖ)={(𝑑1	PROPN
iajs-2702	91	169	,	,	PUNCT
iajs-2702	91	170	{	{	PUNCT
iajs-2702	91	171	ᶒ}),(d2,{ӽ	ᶒ}),(d2,{ӽ	NOUN
iajs-2702	91	172	}	}	PUNCT
iajs-2702	91	173	)	)	PUNCT
iajs-2702	91	174	}	}	PUNCT
iajs-2702	91	175	,	,	PUNCT
iajs-2702	91	176	(	(	PUNCT
iajs-2702	91	177	𝒢	𝒢	PROPN
iajs-2702	91	178	,	,	PUNCT
iajs-2702	91	179	ɖ)={(𝑑1,{ᶆ}),(d2,{ᶒ	ɖ)={(𝑑1,{ᶆ}),(d2,{ᶒ	PROPN
iajs-2702	91	180	}	}	PUNCT
iajs-2702	91	181	)	)	PUNCT
iajs-2702	91	182	}	}	PUNCT
iajs-2702	91	183	,	,	PUNCT
iajs-2702	91	184	(	(	PUNCT
iajs-2702	91	185	ȼ	ȼ	NOUN
iajs-2702	91	186	,	,	PUNCT
iajs-2702	91	187	ɖ)={(𝑑1,{ᶆ}),(d2,{ӽ	ɖ)={(𝑑1,{ᶆ}),(d2,{ӽ	NOUN
iajs-2702	91	188	}	}	PUNCT
iajs-2702	91	189	)	)	PUNCT
iajs-2702	91	190	}	}	PUNCT
iajs-2702	91	191	,	,	PUNCT
iajs-2702	91	192	(	(	PUNCT
iajs-2702	91	193	𝜔	𝜔	NOUN
iajs-2702	91	194	,	,	PUNCT
iajs-2702	91	195	ɖ)={(𝑑1,ӽ),(d2,{∅	ɖ)={(𝑑1,ӽ),(d2,{∅	NOUN
iajs-2702	91	196	}	}	PUNCT
iajs-2702	91	197	)	)	PUNCT
iajs-2702	91	198	}	}	PUNCT
iajs-2702	91	199	,	,	PUNCT
iajs-2702	91	200	(	(	PUNCT
iajs-2702	91	201	ƌ	ƌ	X
iajs-2702	91	202	,	,	PUNCT
iajs-2702	91	203	ɖ)={(𝑑1,ӽ),(d2,{ᶒ	ɖ)={(𝑑1,ӽ),(d2,{ᶒ	ADJ
iajs-2702	91	204	}	}	PUNCT
iajs-2702	91	205	)	)	PUNCT
iajs-2702	91	206	}	}	PUNCT
iajs-2702	91	207	,	,	PUNCT
iajs-2702	91	208	(	(	PUNCT
iajs-2702	91	209	𝛼	𝛼	NOUN
iajs-2702	91	210	,	,	PUNCT
iajs-2702	91	211	ɖ)={(𝑑1,ӽ),(d2,{ᶆ	ɖ)={(𝑑1,ӽ),(d2,{ᶆ	ADV
iajs-2702	91	212	}	}	PUNCT
iajs-2702	91	213	)	)	PUNCT
iajs-2702	91	214	}	}	PUNCT
iajs-2702	91	215	,	,	PUNCT
iajs-2702	91	216	ᶅ	ᶅ	PROPN
iajs-2702	91	217	=	=	SYM
iajs-2702	91	218	şş(ӽ)ɖ	şş(ӽ)ɖ	PROPN
iajs-2702	91	219	,	,	PUNCT
iajs-2702	91	220	𝑠ᶅ𝑝𝑔-c(ӽ)=	𝑠ᶅ𝑝𝑔-c(ӽ)=	PROPN
iajs-2702	91	221	𝑠ᶅ𝑝𝑔-o(ӽ)=	𝑠ᶅ𝑝𝑔-o(ӽ)=	PROPN
iajs-2702	91	222	şş(ӽ)ɖ	şş(ӽ)ɖ	PROPN
iajs-2702	91	223	.	.	PUNCT
iajs-2702	91	224	i.	i.	PROPN
iajs-2702	91	225	let	let	VERB
iajs-2702	91	226	(	(	PUNCT
iajs-2702	91	227	ℰ	ℰ	NOUN
iajs-2702	91	228	,	,	PUNCT
iajs-2702	91	229	ɖ	ɖ	X
iajs-2702	91	230	)	)	PUNCT
iajs-2702	91	231	=	=	SYM
iajs-2702	91	232	{	{	PUNCT
iajs-2702	91	233	(	(	PUNCT
iajs-2702	91	234	d1	d1	PROPN
iajs-2702	91	235	,	,	PUNCT
iajs-2702	91	236	{	{	PUNCT
iajs-2702	91	237	ᶒ	ᶒ	PROPN
iajs-2702	91	238	}	}	PUNCT
iajs-2702	91	239	)	)	PUNCT
iajs-2702	91	240	,	,	PUNCT
iajs-2702	91	241	(	(	PUNCT
iajs-2702	91	242	d2	d2	PROPN
iajs-2702	91	243	,	,	PUNCT
iajs-2702	91	244	{	{	PUNCT
iajs-2702	91	245	ᶆ	ᶆ	X
iajs-2702	91	246	}	}	PUNCT
iajs-2702	91	247	)	)	PUNCT
iajs-2702	91	248	}	}	PUNCT
iajs-2702	91	249	is	be	AUX
iajs-2702	91	250	a	a	DET
iajs-2702	91	251	sᶅ𝑝𝑔-closed	sᶅ𝑝𝑔-closed	ADJ
iajs-2702	91	252	set	set	NOUN
iajs-2702	91	253	,	,	PUNCT
iajs-2702	91	254	but	but	CCONJ
iajs-2702	91	255	(	(	PUNCT
iajs-2702	91	256	ℰ	ℰ	NOUN
iajs-2702	91	257	,	,	PUNCT
iajs-2702	91	258	ɖ	ɖ	X
iajs-2702	91	259	)	)	PUNCT
iajs-2702	91	260	is	be	AUX
iajs-2702	91	261	not	not	PART
iajs-2702	91	262	𝑐𝑙𝑜𝑠𝑒𝑑	𝑐𝑙𝑜𝑠𝑒𝑑	VERB
iajs-2702	91	263	softset	softset	ADJ
iajs-2702	91	264	.	.	PUNCT
iajs-2702	92	1	ii	ii	X
iajs-2702	92	2	.	.	PUNCT
iajs-2702	93	1	let	let	AUX
iajs-2702	93	2	(	(	PUNCT
iajs-2702	93	3	𝒢	𝒢	NOUN
iajs-2702	93	4	,	,	PUNCT
iajs-2702	93	5	ɖ)=	ɖ)=	NOUN
iajs-2702	93	6	{	{	PUNCT
iajs-2702	93	7	(	(	PUNCT
iajs-2702	93	8	d1	d1	PROPN
iajs-2702	93	9	,	,	PUNCT
iajs-2702	93	10	{	{	PUNCT
iajs-2702	93	11	ᶆ	ᶆ	X
iajs-2702	93	12	}	}	PUNCT
iajs-2702	93	13	)	)	PUNCT
iajs-2702	93	14	,	,	PUNCT
iajs-2702	93	15	(	(	PUNCT
iajs-2702	93	16	d2	d2	PROPN
iajs-2702	93	17	,	,	PUNCT
iajs-2702	93	18	{	{	PUNCT
iajs-2702	93	19	ᶒ	ᶒ	PROPN
iajs-2702	93	20	}	}	PUNCT
iajs-2702	93	21	)	)	PUNCT
iajs-2702	93	22	}	}	PUNCT
iajs-2702	93	23	is	be	AUX
iajs-2702	93	24	a	a	DET
iajs-2702	93	25	sᶅ𝑝𝑔-open	sᶅ𝑝𝑔-open	ADJ
iajs-2702	93	26	set	set	NOUN
iajs-2702	93	27	,	,	PUNCT
iajs-2702	93	28	but	but	CCONJ
iajs-2702	93	29	(	(	PUNCT
iajs-2702	93	30	𝒢	𝒢	PROPN
iajs-2702	93	31	,	,	PUNCT
iajs-2702	93	32	ɖ	ɖ	X
iajs-2702	93	33	)	)	PUNCT
iajs-2702	93	34	∉	∉	PROPN
iajs-2702	93	35	ʈ	ʈ	PROPN
iajs-2702	93	36	.	.	PROPN
iajs-2702	93	37	1	1	X
iajs-2702	93	38	.	.	PUNCT
iajs-2702	94	1	𝐒𝐞𝐩𝐚𝐫𝐚𝐭𝐢𝐨𝐧	𝐒𝐞𝐩𝐚𝐫𝐚𝐭𝐢𝐨𝐧	PROPN
iajs-2702	94	2	𝐀𝐱𝐢𝐨𝐦𝐬	𝐀𝐱𝐢𝐨𝐦𝐬	PROPN
iajs-2702	94	3	𝐰𝐢𝐭𝐡	𝐰𝐢𝐭𝐡	NUM
iajs-2702	94	4	𝐬𝐨𝐟𝐭-ᶅ𝐩𝐫𝐞-𝐠-𝐨𝐩𝐞𝐧	𝐬𝐨𝐟𝐭-ᶅ𝐩𝐫𝐞-𝐠-𝐨𝐩𝐞𝐧	NOUN
iajs-2702	94	5	𝐒𝐞𝐭𝐬.	𝐒𝐞𝐭𝐬.	NOUN
iajs-2702	94	6	definition	definition	NOUN
iajs-2702	94	7	4.1	4.1	NUM
iajs-2702	94	8	.	.	PUNCT
iajs-2702	95	1	a	a	DET
iajs-2702	95	2	space	space	NOUN
iajs-2702	95	3	(	(	PUNCT
iajs-2702	95	4	ӽ	ӽ	NOUN
iajs-2702	95	5	,	,	PUNCT
iajs-2702	95	6	ʈ	ʈ	X
iajs-2702	95	7	,	,	PUNCT
iajs-2702	95	8	ɖ	ɖ	NOUN
iajs-2702	95	9	,	,	PUNCT
iajs-2702	95	10	ᶅ	ᶅ	NOUN
iajs-2702	95	11	)	)	PUNCT
iajs-2702	95	12	is	be	AUX
iajs-2702	95	13	a	a	DET
iajs-2702	95	14	soft	soft	ADJ
iajs-2702	95	15	-	-	PUNCT
iajs-2702	95	16	ᶅ-𝑝𝑟𝑒-𝑔-ʈ0	ᶅ-𝑝𝑟𝑒-𝑔-ʈ0	NOUN
iajs-2702	95	17	-	-	PUNCT
iajs-2702	95	18	space	space	NOUN
iajs-2702	95	19	(	(	PUNCT
iajs-2702	95	20	briefly	briefly	NOUN
iajs-2702	95	21	sᶅ𝑝𝑔-ʈ0	sᶅ𝑝𝑔-ʈ0	NOUN
iajs-2702	95	22	-	-	NOUN
iajs-2702	95	23	space	space	NOUN
iajs-2702	95	24	)	)	PUNCT
iajs-2702	95	25	,	,	PUNCT
iajs-2702	95	26	if	if	SCONJ
iajs-2702	95	27	for	for	ADP
iajs-2702	95	28	each	each	DET
iajs-2702	95	29	ᶁ𝓜≠	ᶁ𝓜≠	NUM
iajs-2702	95	30	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	95	31	and	and	CCONJ
iajs-2702	95	32	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	95	33	,	,	PUNCT
iajs-2702	95	34	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	95	35	∈̃	∈̃	PROPN
iajs-2702	95	36	ӽ̃	ӽ̃	PROPN
iajs-2702	95	37	,	,	PUNCT
iajs-2702	95	38	∃	∃	PROPN
iajs-2702	95	39	(	(	PUNCT
iajs-2702	95	40	ա	ա	PROPN
iajs-2702	95	41	,	,	PUNCT
iajs-2702	95	42	ɖ	ɖ	X
iajs-2702	95	43	)	)	PUNCT
iajs-2702	95	44	∈	∈	NOUN
iajs-2702	95	45	𝑠ᶅ𝑝𝑔-o(ӽ	𝑠ᶅ𝑝𝑔-o(ӽ	PROPN
iajs-2702	95	46	)	)	PUNCT
iajs-2702	95	47	whenever	whenever	SCONJ
iajs-2702	95	48	,	,	PUNCT
iajs-2702	95	49	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	95	50	∈̃	∈̃	PROPN
iajs-2702	95	51	(	(	PUNCT
iajs-2702	95	52	ա	ա	PROPN
iajs-2702	95	53	,	,	PUNCT
iajs-2702	95	54	ɖ	ɖ	X
iajs-2702	95	55	)	)	PUNCT
iajs-2702	95	56	∧	∧	PROPN
iajs-2702	95	57	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	95	58	∉̃	∉̃	ADJ
iajs-2702	95	59	(	(	PUNCT
iajs-2702	95	60	ա	ա	PROPN
iajs-2702	95	61	,	,	PUNCT
iajs-2702	95	62	ɖ	ɖ	NOUN
iajs-2702	95	63	)	)	PUNCT
iajs-2702	95	64	or	or	CCONJ
iajs-2702	95	65	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	95	66	∉̃	∉̃	NOUN
iajs-2702	95	67	(	(	PUNCT
iajs-2702	95	68	ա	ա	PROPN
iajs-2702	95	69	,	,	PUNCT
iajs-2702	95	70	ɖ	ɖ	X
iajs-2702	95	71	)	)	PUNCT
iajs-2702	95	72	∧	∧	PROPN
iajs-2702	95	73	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	95	74	∈̃	∈̃	PROPN
iajs-2702	95	75	(	(	PUNCT
iajs-2702	95	76	ա	ա	PROPN
iajs-2702	95	77	,	,	PUNCT
iajs-2702	95	78	ɖ	ɖ	NOUN
iajs-2702	95	79	)	)	PUNCT
iajs-2702	95	80	.	.	PUNCT
iajs-2702	96	1	ibn	ibn	PROPN
iajs-2702	96	2	al	al	PROPN
iajs-2702	96	3	-	-	PUNCT
iajs-2702	96	4	haitham	haitham	PROPN
iajs-2702	96	5	jour	jour	X
iajs-2702	96	6	.	.	PROPN
iajs-2702	96	7	for	for	ADP
iajs-2702	96	8	pure	pure	ADJ
iajs-2702	96	9	&	&	CCONJ
iajs-2702	96	10	appl	appl	PROPN
iajs-2702	96	11	.	.	PUNCT
iajs-2702	97	1	sci	sci	PROPN
iajs-2702	97	2	.	.	PROPN
iajs-2702	98	1	34(4)2021	34(4)2021	NUM
iajs-2702	98	2	49	49	NUM
iajs-2702	98	3	example	example	NOUN
iajs-2702	98	4	4.2	4.2	NUM
iajs-2702	98	5	.	.	PUNCT
iajs-2702	99	1	in	in	ADP
iajs-2702	99	2	(	(	PUNCT
iajs-2702	99	3	ӽ	ӽ	NOUN
iajs-2702	99	4	,	,	PUNCT
iajs-2702	99	5	ʈ	ʈ	X
iajs-2702	99	6	,	,	PUNCT
iajs-2702	99	7	ɖ	ɖ	NOUN
iajs-2702	99	8	,	,	PUNCT
iajs-2702	99	9	ᶅ	ᶅ	NOUN
iajs-2702	99	10	)	)	PUNCT
iajs-2702	99	11	let	let	VERB
iajs-2702	99	12	ӽ=	ӽ=	PROPN
iajs-2702	99	13	{	{	PUNCT
iajs-2702	99	14	ᶒ	ᶒ	PROPN
iajs-2702	99	15	,	,	PUNCT
iajs-2702	99	16	ᶆ	ᶆ	PROPN
iajs-2702	99	17	,	,	PUNCT
iajs-2702	99	18	ᶉ	ᶉ	NOUN
iajs-2702	99	19	}	}	PUNCT
iajs-2702	99	20	,	,	PUNCT
iajs-2702	99	21	ɖ=	ɖ=	PRON
iajs-2702	99	22	{	{	PUNCT
iajs-2702	99	23	ᶁ1	ᶁ1	PROPN
iajs-2702	99	24	,	,	PUNCT
iajs-2702	99	25	ᶁ2	ᶁ2	PROPN
iajs-2702	99	26	}	}	PUNCT
iajs-2702	99	27	,	,	PUNCT
iajs-2702	99	28	ʈ=	ʈ=	NOUN
iajs-2702	99	29	{	{	PUNCT
iajs-2702	99	30	ӽ̃	ӽ̃	PROPN
iajs-2702	99	31	,	,	PUNCT
iajs-2702	99	32	∅̃	∅̃	NOUN
iajs-2702	99	33	,	,	PUNCT
iajs-2702	99	34	(	(	PUNCT
iajs-2702	99	35	ը	ը	NOUN
iajs-2702	99	36	,	,	PUNCT
iajs-2702	99	37	ɖ	ɖ	NOUN
iajs-2702	99	38	)	)	PUNCT
iajs-2702	99	39	,	,	PUNCT
iajs-2702	99	40	(	(	PUNCT
iajs-2702	99	41	𝒵	𝒵	PROPN
iajs-2702	99	42	,	,	PUNCT
iajs-2702	99	43	ɖ	ɖ	NOUN
iajs-2702	99	44	)	)	PUNCT
iajs-2702	99	45	}	}	PUNCT
iajs-2702	99	46	where	where	SCONJ
iajs-2702	99	47	,	,	PUNCT
iajs-2702	99	48	(	(	PUNCT
iajs-2702	99	49	(	(	PUNCT
iajs-2702	99	50	ը	ը	NOUN
iajs-2702	99	51	,	,	PUNCT
iajs-2702	99	52	ɖ	ɖ	NOUN
iajs-2702	99	53	)	)	PUNCT
iajs-2702	99	54	=	=	SYM
iajs-2702	99	55	{	{	PUNCT
iajs-2702	99	56	(	(	PUNCT
iajs-2702	99	57	ᶁ1,{ᶒ	ᶁ1,{ᶒ	PROPN
iajs-2702	99	58	}	}	PUNCT
iajs-2702	99	59	)	)	PUNCT
iajs-2702	99	60	,	,	PUNCT
iajs-2702	99	61	(	(	PUNCT
iajs-2702	99	62	ᶁ2	ᶁ2	INTJ
iajs-2702	99	63	,	,	PUNCT
iajs-2702	99	64	{	{	PUNCT
iajs-2702	99	65	ᶒ	ᶒ	PROPN
iajs-2702	99	66	}	}	PUNCT
iajs-2702	99	67	)	)	PUNCT
iajs-2702	99	68	}	}	PUNCT
iajs-2702	99	69	,	,	PUNCT
iajs-2702	99	70	(	(	PUNCT
iajs-2702	99	71	𝒵	𝒵	PROPN
iajs-2702	99	72	,	,	PUNCT
iajs-2702	99	73	ɖ	ɖ	X
iajs-2702	99	74	)	)	PUNCT
iajs-2702	99	75	=	=	SYM
iajs-2702	99	76	{	{	PUNCT
iajs-2702	99	77	(	(	PUNCT
iajs-2702	99	78	ᶁ1,{ᶒ	ᶁ1,{ᶒ	PROPN
iajs-2702	99	79	,	,	PUNCT
iajs-2702	99	80	ᶆ	ᶆ	NOUN
iajs-2702	99	81	}	}	PUNCT
iajs-2702	99	82	)	)	PUNCT
iajs-2702	99	83	,	,	PUNCT
iajs-2702	99	84	(	(	PUNCT
iajs-2702	99	85	ᶁ2	ᶁ2	INTJ
iajs-2702	99	86	,	,	PUNCT
iajs-2702	99	87	{	{	PUNCT
iajs-2702	99	88	ᶒ	ᶒ	PROPN
iajs-2702	99	89	,	,	PUNCT
iajs-2702	99	90	ᶆ	ᶆ	PROPN
iajs-2702	99	91	}	}	PUNCT
iajs-2702	99	92	)	)	PUNCT
iajs-2702	99	93	}	}	PUNCT
iajs-2702	99	94	and	and	CCONJ
iajs-2702	99	95	ᶅ=	ᶅ=	NOUN
iajs-2702	99	96	{	{	PUNCT
iajs-2702	99	97	∅̃	∅̃	NOUN
iajs-2702	99	98	}	}	PUNCT
iajs-2702	99	99	.	.	PUNCT
iajs-2702	100	1	then	then	ADV
iajs-2702	100	2	ş𝑝𝑂(ӽ)=	ş𝑝𝑂(ӽ)=	VERB
iajs-2702	100	3	{	{	PUNCT
iajs-2702	100	4	(	(	PUNCT
iajs-2702	100	5	f	f	X
iajs-2702	100	6	,	,	PUNCT
iajs-2702	100	7	ɖ	ɖ	X
iajs-2702	100	8	)	)	PUNCT
iajs-2702	100	9	;	;	PUNCT
iajs-2702	100	10	ᶒ	ᶒ	X
iajs-2702	100	11	∈	∈	NOUN
iajs-2702	100	12	(	(	PUNCT
iajs-2702	100	13	f	f	NOUN
iajs-2702	100	14	,	,	PUNCT
iajs-2702	100	15	ɖ	ɖ	X
iajs-2702	100	16	)	)	PUNCT
iajs-2702	100	17	for	for	ADP
iajs-2702	100	18	some	some	DET
iajs-2702	100	19	ᶁ	ᶁ	PRON
iajs-2702	100	20	∈	∈	NOUN
iajs-2702	100	21	ɖ	ɖ	NOUN
iajs-2702	100	22	}	}	PUNCT
iajs-2702	100	23	.	.	PUNCT
iajs-2702	101	1	so	so	ADV
iajs-2702	101	2	,	,	PUNCT
iajs-2702	101	3	𝑠ᶅ𝑝𝑔-𝐶(ӽ	𝑠ᶅ𝑝𝑔-𝐶(ӽ	NOUN
iajs-2702	101	4	)	)	PUNCT
iajs-2702	101	5	=	=	PRON
iajs-2702	101	6	{	{	PUNCT
iajs-2702	101	7	∅̃	∅̃	NOUN
iajs-2702	101	8	,	,	PUNCT
iajs-2702	101	9	𝜒	𝜒	X
iajs-2702	101	10	̃,(ը′	̃,(ը′	PROPN
iajs-2702	101	11	,	,	PUNCT
iajs-2702	101	12	ɖ	ɖ	NOUN
iajs-2702	101	13	)	)	PUNCT
iajs-2702	101	14	,	,	PUNCT
iajs-2702	101	15	(	(	PUNCT
iajs-2702	101	16	𝒵′	𝒵′	NOUN
iajs-2702	101	17	,	,	PUNCT
iajs-2702	101	18	ɖ	ɖ	NOUN
iajs-2702	101	19	)	)	PUNCT
iajs-2702	101	20	}	}	PUNCT
iajs-2702	101	21	and	and	CCONJ
iajs-2702	101	22	𝑠ᶅ𝑝𝑔-𝑂(𝜒	𝑠ᶅ𝑝𝑔-𝑂(𝜒	NOUN
iajs-2702	101	23	)	)	PUNCT
iajs-2702	101	24	=	=	SYM
iajs-2702	101	25	ʈ	ʈ	NOUN
iajs-2702	101	26	,	,	PUNCT
iajs-2702	101	27	hence	hence	ADV
iajs-2702	101	28	,	,	PUNCT
iajs-2702	101	29	(	(	PUNCT
iajs-2702	101	30	(	(	PUNCT
iajs-2702	101	31	ӽ	ӽ	X
iajs-2702	101	32	,	,	PUNCT
iajs-2702	101	33	ʈ	ʈ	X
iajs-2702	101	34	,	,	PUNCT
iajs-2702	101	35	ɖ	ɖ	NOUN
iajs-2702	101	36	,	,	PUNCT
iajs-2702	101	37	ᶅ	ᶅ	NOUN
iajs-2702	101	38	)	)	PUNCT
iajs-2702	101	39	)	)	PUNCT
iajs-2702	101	40	is	be	AUX
iajs-2702	101	41	a	a	DET
iajs-2702	101	42	𝑠ᶅ𝑝𝑔-ʈ0	𝑠ᶅ𝑝𝑔-ʈ0	ADJ
iajs-2702	101	43	-	-	NOUN
iajs-2702	101	44	space	space	NOUN
iajs-2702	101	45	.	.	PUNCT
iajs-2702	102	1	since	since	SCONJ
iajs-2702	102	2	∀	∀	NUM
iajs-2702	102	3	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	102	4	≠	≠	PROPN
iajs-2702	102	5	ᶁ	ᶁ	PROPN
iajs-2702	102	6	,	,	PUNCT
iajs-2702	102	7	∃	∃	PROPN
iajs-2702	102	8	(	(	PUNCT
iajs-2702	102	9	ƞ	ƞ	PROPN
iajs-2702	102	10	,	,	PUNCT
iajs-2702	102	11	ɖ	ɖ	X
iajs-2702	102	12	)	)	PUNCT
iajs-2702	102	13	∈	∈	NOUN
iajs-2702	102	14	𝑠ᶅ𝑝𝑔-o(ӽ	𝑠ᶅ𝑝𝑔-o(ӽ	PROPN
iajs-2702	102	15	)	)	PUNCT
iajs-2702	102	16	whenever	whenever	SCONJ
iajs-2702	102	17	,	,	PUNCT
iajs-2702	102	18	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	102	19	∈̃	∈̃	PROPN
iajs-2702	102	20	(	(	PUNCT
iajs-2702	102	21	ƞ	ƞ	PROPN
iajs-2702	102	22	,	,	PUNCT
iajs-2702	102	23	ɖ	ɖ	NOUN
iajs-2702	102	24	,	,	PUNCT
iajs-2702	102	25	)	)	PUNCT
iajs-2702	102	26	∧	∧	NOUN
iajs-2702	102	27	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	102	28	∉̃	∉̃	NOUN
iajs-2702	102	29	(	(	PUNCT
iajs-2702	102	30	ƞ	ƞ	NOUN
iajs-2702	102	31	,	,	PUNCT
iajs-2702	102	32	ɖ	ɖ	NOUN
iajs-2702	102	33	)	)	PUNCT
iajs-2702	102	34	or	or	CCONJ
iajs-2702	102	35	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	102	36	∉̃	∉̃	NOUN
iajs-2702	102	37	(	(	PUNCT
iajs-2702	102	38	ƞ	ƞ	NOUN
iajs-2702	102	39	,	,	PUNCT
iajs-2702	102	40	ɖ	ɖ	X
iajs-2702	102	41	)	)	PUNCT
iajs-2702	102	42	∧	∧	PROPN
iajs-2702	102	43	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	102	44	∈̃	∈̃	PROPN
iajs-2702	102	45	(	(	PUNCT
iajs-2702	102	46	ƞ	ƞ	NOUN
iajs-2702	102	47	,	,	PUNCT
iajs-2702	102	48	ɖ	ɖ	NOUN
iajs-2702	102	49	)	)	PUNCT
iajs-2702	102	50	.	.	PUNCT
iajs-2702	103	1	proposition	proposition	NOUN
iajs-2702	103	2	4.3	4.3	NUM
iajs-2702	103	3	.	.	PUNCT
iajs-2702	104	1	if	if	SCONJ
iajs-2702	104	2	(	(	PUNCT
iajs-2702	104	3	ӽ	ӽ	NOUN
iajs-2702	104	4	,	,	PUNCT
iajs-2702	104	5	ʈ	ʈ	X
iajs-2702	104	6	,	,	PUNCT
iajs-2702	104	7	ɖ	ɖ	X
iajs-2702	104	8	)	)	PUNCT
iajs-2702	104	9	is	be	AUX
iajs-2702	104	10	a	a	DET
iajs-2702	104	11	soft	soft	ADJ
iajs-2702	104	12	-	-	PUNCT
iajs-2702	104	13	ʈ0	ʈ0	NOUN
iajs-2702	104	14	-	-	PUNCT
iajs-2702	104	15	space	space	NOUN
iajs-2702	104	16	then	then	ADV
iajs-2702	104	17	(	(	PUNCT
iajs-2702	104	18	ӽ	ӽ	X
iajs-2702	104	19	,	,	PUNCT
iajs-2702	104	20	ʈ	ʈ	X
iajs-2702	104	21	,	,	PUNCT
iajs-2702	104	22	ɖ	ɖ	NOUN
iajs-2702	104	23	,	,	PUNCT
iajs-2702	104	24	ᶅ	ᶅ	NOUN
iajs-2702	104	25	)	)	PUNCT
iajs-2702	104	26	is	be	AUX
iajs-2702	104	27	a	a	DET
iajs-2702	104	28	𝑠ᶅ𝑝𝑔-ʈ0	𝑠ᶅ𝑝𝑔-ʈ0	ADJ
iajs-2702	104	29	-	-	NOUN
iajs-2702	104	30	space	space	NOUN
iajs-2702	104	31	.	.	PUNCT
iajs-2702	105	1	proof	proof	NOUN
iajs-2702	105	2	:	:	PUNCT
iajs-2702	105	3	let	let	VERB
iajs-2702	105	4	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	105	5	,	,	PUNCT
iajs-2702	105	6	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	105	7	∈̃	∈̃	PROPN
iajs-2702	105	8	ӽ̃	ӽ̃	PROPN
iajs-2702	105	9	such	such	ADJ
iajs-2702	105	10	that	that	PRON
iajs-2702	105	11	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	105	12	≠	≠	PROPN
iajs-2702	105	13	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	105	14	since	since	SCONJ
iajs-2702	105	15	(	(	PUNCT
iajs-2702	105	16	ӽ	ӽ	NOUN
iajs-2702	105	17	,	,	PUNCT
iajs-2702	105	18	ʈ	ʈ	X
iajs-2702	105	19	,	,	PUNCT
iajs-2702	105	20	ɖ	ɖ	X
iajs-2702	105	21	)	)	PUNCT
iajs-2702	105	22	is	be	AUX
iajs-2702	105	23	a	a	DET
iajs-2702	105	24	soft	soft	ADJ
iajs-2702	105	25	-	-	PUNCT
iajs-2702	105	26	ʈ0	ʈ0	NOUN
iajs-2702	105	27	-	-	PUNCT
iajs-2702	105	28	space	space	NOUN
iajs-2702	105	29	,	,	PUNCT
iajs-2702	105	30	then	then	ADV
iajs-2702	105	31	∃	∃	PROPN
iajs-2702	105	32	(	(	PUNCT
iajs-2702	105	33	ƞ	ƞ	PROPN
iajs-2702	105	34	,	,	PUNCT
iajs-2702	105	35	ɖ	ɖ	X
iajs-2702	105	36	)	)	PUNCT
iajs-2702	105	37	∈	∈	NOUN
iajs-2702	105	38	ʈ	ʈ	AUX
iajs-2702	105	39	whenever	whenever	ADV
iajs-2702	105	40	,	,	PUNCT
iajs-2702	105	41	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	105	42	∈̃	∈̃	PROPN
iajs-2702	105	43	(	(	PUNCT
iajs-2702	105	44	ƞ	ƞ	NOUN
iajs-2702	105	45	,	,	PUNCT
iajs-2702	105	46	ɖ	ɖ	NOUN
iajs-2702	105	47	)	)	PUNCT
iajs-2702	105	48	,	,	PUNCT
iajs-2702	105	49	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	105	50	∉̃	∉̃	ADJ
iajs-2702	105	51	(	(	PUNCT
iajs-2702	105	52	ƞ	ƞ	NOUN
iajs-2702	105	53	,	,	PUNCT
iajs-2702	105	54	ɖ	ɖ	NOUN
iajs-2702	105	55	)	)	PUNCT
iajs-2702	105	56	or	or	CCONJ
iajs-2702	105	57	d𝓜	d𝓜	ADJ
iajs-2702	105	58	∉̃	∉̃	ADJ
iajs-2702	105	59	(	(	PUNCT
iajs-2702	105	60	ƞ	ƞ	NOUN
iajs-2702	105	61	,	,	PUNCT
iajs-2702	105	62	ɖ	ɖ	NOUN
iajs-2702	105	63	)	)	PUNCT
iajs-2702	105	64	,	,	PUNCT
iajs-2702	105	65	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	105	66	∈̃	∈̃	PROPN
iajs-2702	105	67	(	(	PUNCT
iajs-2702	105	68	ƞ	ƞ	NOUN
iajs-2702	105	69	,	,	PUNCT
iajs-2702	105	70	ɖ	ɖ	NOUN
iajs-2702	105	71	)	)	PUNCT
iajs-2702	105	72	.	.	PUNCT
iajs-2702	106	1	by	by	ADP
iajs-2702	106	2	𝑅𝑒𝑚𝑎𝑟𝑘	𝑅𝑒𝑚𝑎𝑟𝑘	PROPN
iajs-2702	106	3	3.3	3.3	NUM
iajs-2702	106	4	,	,	PUNCT
iajs-2702	106	5	(	(	PUNCT
iajs-2702	106	6	ƞ	ƞ	NOUN
iajs-2702	106	7	,	,	PUNCT
iajs-2702	106	8	ɖ	ɖ	X
iajs-2702	106	9	)	)	PUNCT
iajs-2702	106	10	is	be	AUX
iajs-2702	106	11	a	a	DET
iajs-2702	106	12	𝑠ᶅ𝑝𝑔-open	𝑠ᶅ𝑝𝑔-open	ADJ
iajs-2702	106	13	set	set	NOUN
iajs-2702	106	14	𝑠𝑢𝑐ℎ	𝑠𝑢𝑐ℎ	PROPN
iajs-2702	106	15	𝑡ℎ𝑎𝑡	𝑡ℎ𝑎𝑡	PROPN
iajs-2702	106	16	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	106	17	∈̃	∈̃	PROPN
iajs-2702	106	18	(	(	PUNCT
iajs-2702	106	19	ƞ	ƞ	NOUN
iajs-2702	106	20	,	,	PUNCT
iajs-2702	106	21	ɖ	ɖ	NOUN
iajs-2702	106	22	)	)	PUNCT
iajs-2702	106	23	and	and	CCONJ
iajs-2702	106	24	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	106	25	∉̃	∉̃	ADJ
iajs-2702	106	26	(	(	PUNCT
iajs-2702	106	27	ƞ	ƞ	NOUN
iajs-2702	106	28	,	,	PUNCT
iajs-2702	106	29	ɖ	ɖ	NOUN
iajs-2702	106	30	)	)	PUNCT
iajs-2702	106	31	or	or	CCONJ
iajs-2702	106	32	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	106	33	∉̃	∉̃	NOUN
iajs-2702	106	34	(	(	PUNCT
iajs-2702	106	35	ƞ	ƞ	NOUN
iajs-2702	106	36	,	,	PUNCT
iajs-2702	106	37	ɖ	ɖ	NOUN
iajs-2702	106	38	)	)	PUNCT
iajs-2702	106	39	and	and	CCONJ
iajs-2702	106	40	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	106	41	∈̃	∈̃	PROPN
iajs-2702	106	42	(	(	PUNCT
iajs-2702	106	43	ƞ	ƞ	NOUN
iajs-2702	106	44	,	,	PUNCT
iajs-2702	106	45	ɖ	ɖ	NOUN
iajs-2702	106	46	)	)	PUNCT
iajs-2702	106	47	.	.	PUNCT
iajs-2702	107	1	definition	definition	NOUN
iajs-2702	107	2	4.4	4.4	NUM
iajs-2702	107	3	.	.	PUNCT
iajs-2702	108	1	(	(	PUNCT
iajs-2702	108	2	ӽ	ӽ	NOUN
iajs-2702	108	3	,	,	PUNCT
iajs-2702	108	4	ʈ	ʈ	X
iajs-2702	108	5	,	,	PUNCT
iajs-2702	108	6	ɖ	ɖ	NOUN
iajs-2702	108	7	,	,	PUNCT
iajs-2702	108	8	ᶅ	ᶅ	NOUN
iajs-2702	108	9	)	)	PUNCT
iajs-2702	108	10	is	be	AUX
iajs-2702	108	11	a	a	DET
iajs-2702	108	12	soft	soft	ADJ
iajs-2702	108	13	-	-	PUNCT
iajs-2702	108	14	ᶅ-𝑝𝑟𝑒-𝑔-ʈ1	ᶅ-𝑝𝑟𝑒-𝑔-ʈ1	NOUN
iajs-2702	108	15	-	-	PUNCT
iajs-2702	108	16	space	space	NOUN
iajs-2702	108	17	(	(	PUNCT
iajs-2702	108	18	briefly	briefly	ADV
iajs-2702	108	19	𝑠ᶅ𝑝𝑔-ʈ1	𝑠ᶅ𝑝𝑔-ʈ1	VERB
iajs-2702	108	20	-	-	PUNCT
iajs-2702	108	21	space),if	space),if	NUM
iajs-2702	108	22	for	for	ADP
iajs-2702	108	23	each	each	DET
iajs-2702	108	24	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	108	25	,	,	PUNCT
iajs-2702	108	26	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	108	27	∈̃	∈̃	PART
iajs-2702	108	28	ӽ̃̃	ӽ̃̃	NOUN
iajs-2702	108	29	and	and	CCONJ
iajs-2702	108	30	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	108	31	≠	≠	PROPN
iajs-2702	108	32	ᶁ𝓝.	ᶁ𝓝.	NOUN
iajs-2702	108	33	then	then	ADV
iajs-2702	108	34	there	there	PRON
iajs-2702	108	35	are	be	VERB
iajs-2702	108	36	𝑠ℐ𝑠𝑔-open	𝑠ℐ𝑠𝑔-open	ADJ
iajs-2702	108	37	sets	set	NOUN
iajs-2702	108	38	(	(	PUNCT
iajs-2702	108	39	ƞ1,ɖ	ƞ1,ɖ	NOUN
iajs-2702	108	40	)	)	PUNCT
iajs-2702	108	41	,	,	PUNCT
iajs-2702	108	42	(	(	PUNCT
iajs-2702	108	43	ƞ2,ɖ	ƞ2,ɖ	PROPN
iajs-2702	108	44	)	)	PUNCT
iajs-2702	108	45	whenever	whenever	ADV
iajs-2702	108	46	,	,	PUNCT
iajs-2702	108	47	ɖ𝓜	ɖ𝓜	NOUN
iajs-2702	108	48	∈̃	∈̃	NOUN
iajs-2702	108	49	(	(	PUNCT
iajs-2702	108	50	(	(	PUNCT
iajs-2702	108	51	ƞ1,ɖ	ƞ1,ɖ	NOUN
iajs-2702	108	52	)	)	PUNCT
iajs-2702	108	53	–	–	PUNCT
iajs-2702	108	54	(	(	PUNCT
iajs-2702	108	55	ƞ2,ɖ	ƞ2,ɖ	PROPN
iajs-2702	108	56	)	)	PUNCT
iajs-2702	108	57	)	)	PUNCT
iajs-2702	108	58	and	and	CCONJ
iajs-2702	108	59	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	108	60	∈̃	∈̃	PROPN
iajs-2702	108	61	(	(	PUNCT
iajs-2702	108	62	(	(	PUNCT
iajs-2702	108	63	ƞ2,ɖ	ƞ2,ɖ	PROPN
iajs-2702	108	64	)	)	PUNCT
iajs-2702	108	65	–	–	PUNCT
iajs-2702	108	66	(	(	PUNCT
iajs-2702	108	67	ƞ1,ɖ	ƞ1,ɖ	NOUN
iajs-2702	108	68	)	)	PUNCT
iajs-2702	108	69	)	)	PUNCT
iajs-2702	108	70	.	.	PUNCT
iajs-2702	109	1	example	example	NOUN
iajs-2702	110	1	4.5	4.5	NUM
iajs-2702	110	2	.	.	PUNCT
iajs-2702	111	1	a	a	DET
iajs-2702	111	2	topological	topological	ADJ
iajs-2702	111	3	space	space	NOUN
iajs-2702	111	4	(	(	PUNCT
iajs-2702	111	5	ӽ	ӽ	NOUN
iajs-2702	111	6	,	,	PUNCT
iajs-2702	111	7	ʈ	ʈ	X
iajs-2702	111	8	,	,	PUNCT
iajs-2702	111	9	ɖ	ɖ	NOUN
iajs-2702	111	10	,	,	PUNCT
iajs-2702	111	11	ᶅ	ᶅ	NOUN
iajs-2702	111	12	)	)	PUNCT
iajs-2702	111	13	when	when	SCONJ
iajs-2702	111	14	ӽ=	ӽ=	PROPN
iajs-2702	111	15	ℕ	ℕ	PROPN
iajs-2702	111	16	𝑡ℎ𝑒	𝑡ℎ𝑒	VERB
iajs-2702	111	17	𝑠𝑒𝑡	𝑠𝑒𝑡	NOUN
iajs-2702	111	18	of	of	ADP
iajs-2702	111	19	all	all	DET
iajs-2702	111	20	𝑡𝑢𝑟𝑎𝑙	𝑡𝑢𝑟𝑎𝑙	NOUN
iajs-2702	111	21	𝑛𝑢𝑚𝑏𝑒𝑟𝑠	𝑛𝑢𝑚𝑏𝑒𝑟𝑠	ADJ
iajs-2702	111	22	,	,	PUNCT
iajs-2702	111	23	ʈ	ʈ	ADP
iajs-2702	111	24	=	=	NOUN
iajs-2702	111	25	ʈscof	ʈscof	ADJ
iajs-2702	112	1	=	=	NOUN
iajs-2702	112	2	{	{	PUNCT
iajs-2702	112	3	f𝓐	f𝓐	NOUN
iajs-2702	112	4	:	:	PUNCT
iajs-2702	112	5	f′(ᶁ	f′(ᶁ	X
iajs-2702	112	6	)	)	PUNCT
iajs-2702	112	7	is	be	AUX
iajs-2702	112	8	finite	finite	NOUN
iajs-2702	112	9	set	set	VERB
iajs-2702	112	10	∀	∀	NOUN
iajs-2702	112	11	ᶁ	ᶁ	ADP
iajs-2702	112	12	}	}	PUNCT
iajs-2702	112	13	⋃̃	⋃̃	PROPN
iajs-2702	112	14	{	{	PUNCT
iajs-2702	112	15	∅̃	∅̃	NOUN
iajs-2702	112	16	}	}	PUNCT
iajs-2702	112	17	and	and	CCONJ
iajs-2702	112	18	ᶅ	ᶅ	X
iajs-2702	112	19	=	=	SYM
iajs-2702	112	20	{	{	PUNCT
iajs-2702	112	21	∅̃	∅̃	NOUN
iajs-2702	112	22	}	}	PUNCT
iajs-2702	112	23	.	.	PUNCT
iajs-2702	113	1	so	so	ADV
iajs-2702	113	2	(	(	PUNCT
iajs-2702	113	3	ӽ	ӽ	NOUN
iajs-2702	113	4	,	,	PUNCT
iajs-2702	113	5	ʈ	ʈ	X
iajs-2702	113	6	,	,	PUNCT
iajs-2702	113	7	ɖ	ɖ	NOUN
iajs-2702	113	8	,	,	PUNCT
iajs-2702	113	9	ᶅ	ᶅ	NOUN
iajs-2702	113	10	)	)	PUNCT
iajs-2702	113	11	is	be	AUX
iajs-2702	113	12	a	a	DET
iajs-2702	113	13	𝑠ᶅ𝑝𝑔-ʈ1	𝑠ᶅ𝑝𝑔-ʈ1	ADJ
iajs-2702	113	14	-	-	PUNCT
iajs-2702	113	15	space	space	NOUN
iajs-2702	113	16	.	.	PUNCT
iajs-2702	114	1	if	if	SCONJ
iajs-2702	114	2	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	114	3	,	,	PUNCT
iajs-2702	114	4	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	114	5	∈̃	∈̃	PROPN
iajs-2702	114	6	ӽ̃	ӽ̃	PROPN
iajs-2702	114	7	and	and	CCONJ
iajs-2702	114	8	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	114	9	≠	≠	PROPN
iajs-2702	114	10	ᶁ𝓝.	ᶁ𝓝.	NOUN
iajs-2702	114	11	then	then	ADV
iajs-2702	114	12	there	there	PRON
iajs-2702	114	13	are	be	VERB
iajs-2702	114	14	𝑠ᶅ𝑝𝑔-𝑜𝑝𝑒𝑛	𝑠ᶅ𝑝𝑔-𝑜𝑝𝑒𝑛	ADJ
iajs-2702	114	15	sets	set	NOUN
iajs-2702	114	16	(	(	PUNCT
iajs-2702	114	17	ӽ̃	ӽ̃	PROPN
iajs-2702	114	18	–	–	PUNCT
iajs-2702	114	19	ȴ𝓝	ȴ𝓝	NUM
iajs-2702	114	20	)	)	PUNCT
iajs-2702	114	21	,	,	PUNCT
iajs-2702	114	22	(	(	PUNCT
iajs-2702	114	23	ӽ̃	ӽ̃	PROPN
iajs-2702	114	24	–	–	PUNCT
iajs-2702	114	25	ȴ𝓜	ȴ𝓜	NOUN
iajs-2702	114	26	)	)	PUNCT
iajs-2702	114	27	whenever	whenever	ADV
iajs-2702	114	28	,	,	PUNCT
iajs-2702	114	29	ȴ𝓝	ȴ𝓝	ADJ
iajs-2702	114	30	and	and	CCONJ
iajs-2702	114	31	ȴ𝓜	ȴ𝓜	NOUN
iajs-2702	114	32	are	be	AUX
iajs-2702	114	33	two	two	NUM
iajs-2702	114	34	𝑓𝑖𝑛𝑖𝑡𝑒	𝑓𝑖𝑛𝑖𝑡𝑒	ADJ
iajs-2702	114	35	sets	set	NOUN
iajs-2702	114	36	such	such	ADJ
iajs-2702	114	37	that	that	SCONJ
iajs-2702	114	38	ȴ𝓝⊆	ȴ𝓝⊆	ADJ
iajs-2702	114	39	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	114	40	,	,	PUNCT
iajs-2702	114	41	ȴ𝓜⊆	ȴ𝓜⊆	NOUN
iajs-2702	114	42	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	114	43	such	such	ADJ
iajs-2702	114	44	that	that	DET
iajs-2702	114	45	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	114	46	∈̃	∈̃	NOUN
iajs-2702	114	47	(	(	PUNCT
iajs-2702	114	48	ӽ̃	ӽ̃	PROPN
iajs-2702	114	49	–	–	PUNCT
iajs-2702	114	50	ȴ𝓝	ȴ𝓝	ADJ
iajs-2702	114	51	)	)	PUNCT
iajs-2702	114	52	and	and	CCONJ
iajs-2702	114	53	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	114	54	∈̃	∈̃	PROPN
iajs-2702	114	55	(	(	PUNCT
iajs-2702	114	56	ӽ̃	ӽ̃	PROPN
iajs-2702	114	57	–	–	PUNCT
iajs-2702	114	58	ȴ𝓜	ȴ𝓜	NOUN
iajs-2702	114	59	)	)	PUNCT
iajs-2702	114	60	and	and	CCONJ
iajs-2702	114	61	(	(	PUNCT
iajs-2702	114	62	ӽ̃	ӽ̃	PROPN
iajs-2702	114	63	–	–	PUNCT
iajs-2702	114	64	ȴ𝓝	ȴ𝓝	NUM
iajs-2702	114	65	)	)	PUNCT
iajs-2702	114	66	∩̃	∩̃	PUNCT
iajs-2702	115	1	(	(	PUNCT
iajs-2702	115	2	ӽ̃	ӽ̃	PROPN
iajs-2702	115	3	–	–	PUNCT
iajs-2702	115	4	ȴ𝓜	ȴ𝓜	NOUN
iajs-2702	115	5	)	)	PUNCT
iajs-2702	115	6	≠	≠	PROPN
iajs-2702	115	7	{	{	PUNCT
iajs-2702	115	8	∅	∅	NOUN
iajs-2702	115	9	}	}	PUNCT
iajs-2702	115	10	.	.	PUNCT
iajs-2702	116	1	𝐏𝐫𝐨𝐩𝐨𝐬𝐢𝐭𝐢𝐨𝐧	𝐏𝐫𝐨𝐩𝐨𝐬𝐢𝐭𝐢𝐨𝐧	NOUN
iajs-2702	116	2	𝟒.	𝟒.	SYM
iajs-2702	116	3	𝟔.	𝟔.	X
iajs-2702	116	4	if	if	SCONJ
iajs-2702	116	5	(	(	PUNCT
iajs-2702	116	6	ӽ	ӽ	NOUN
iajs-2702	116	7	,	,	PUNCT
iajs-2702	116	8	ʈ	ʈ	X
iajs-2702	116	9	,	,	PUNCT
iajs-2702	116	10	ɖ	ɖ	X
iajs-2702	116	11	)	)	PUNCT
iajs-2702	116	12	is	be	AUX
iajs-2702	116	13	a	a	DET
iajs-2702	116	14	𝑠𝑜𝑓𝑡-ʈ1	𝑠𝑜𝑓𝑡-ʈ1	NOUN
iajs-2702	116	15	-	-	NOUN
iajs-2702	116	16	space	space	NOUN
iajs-2702	116	17	,	,	PUNCT
iajs-2702	116	18	then	then	ADV
iajs-2702	116	19	,	,	PUNCT
iajs-2702	116	20	(	(	PUNCT
iajs-2702	116	21	ӽ	ӽ	X
iajs-2702	116	22	,	,	PUNCT
iajs-2702	116	23	ʈ	ʈ	X
iajs-2702	116	24	,	,	PUNCT
iajs-2702	116	25	ɖ	ɖ	NOUN
iajs-2702	116	26	,	,	PUNCT
iajs-2702	116	27	ᶅ	ᶅ	NOUN
iajs-2702	116	28	)	)	PUNCT
iajs-2702	116	29	is	be	AUX
iajs-2702	116	30	a	a	DET
iajs-2702	116	31	soft	soft	ADJ
iajs-2702	116	32	-	-	PUNCT
iajs-2702	116	33	ᶅ-𝑝𝑟𝑒-𝑔-ʈ1space	ᶅ-𝑝𝑟𝑒-𝑔-ʈ1space	NOUN
iajs-2702	116	34	.	.	PUNCT
iajs-2702	117	1	proof	proof	NOUN
iajs-2702	117	2	:	:	PUNCT
iajs-2702	117	3	let	let	VERB
iajs-2702	117	4	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	117	5	,	,	PUNCT
iajs-2702	117	6	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	117	7	∈̃	∈̃	PROPN
iajs-2702	117	8	ӽ̃	ӽ̃	PROPN
iajs-2702	117	9	such	such	ADJ
iajs-2702	117	10	that	that	PRON
iajs-2702	117	11	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	117	12	≠ᶁ𝓝	≠ᶁ𝓝	VERB
iajs-2702	117	13	since	since	SCONJ
iajs-2702	117	14	(	(	PUNCT
iajs-2702	117	15	ӽ	ӽ	NOUN
iajs-2702	117	16	,	,	PUNCT
iajs-2702	117	17	ʈ	ʈ	X
iajs-2702	117	18	,	,	PUNCT
iajs-2702	117	19	ɖ	ɖ	X
iajs-2702	117	20	)	)	PUNCT
iajs-2702	117	21	is	be	AUX
iajs-2702	117	22	a	a	DET
iajs-2702	117	23	soft	soft	ADJ
iajs-2702	117	24	-	-	PUNCT
iajs-2702	117	25	ʈ1	ʈ1	NOUN
iajs-2702	117	26	-	-	PUNCT
iajs-2702	117	27	space	space	NOUN
iajs-2702	117	28	,	,	PUNCT
iajs-2702	117	29	then	then	ADV
iajs-2702	117	30	∃	∃	PROPN
iajs-2702	117	31	(	(	PUNCT
iajs-2702	117	32	ƞ1,ɖ	ƞ1,ɖ	PROPN
iajs-2702	117	33	)	)	PUNCT
iajs-2702	117	34	,	,	PUNCT
iajs-2702	117	35	(	(	PUNCT
iajs-2702	117	36	ƞ2,ɖ	ƞ2,ɖ	PROPN
iajs-2702	117	37	)	)	PUNCT
iajs-2702	117	38	∈	∈	PROPN
iajs-2702	117	39	ʈ	ʈ	ADP
iajs-2702	117	40	such	such	ADJ
iajs-2702	117	41	that	that	DET
iajs-2702	117	42	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	117	43	∈̃	∈̃	PROPN
iajs-2702	117	44	(	(	PUNCT
iajs-2702	117	45	(	(	PUNCT
iajs-2702	117	46	ƞ1,ɖ	ƞ1,ɖ	NOUN
iajs-2702	117	47	)	)	PUNCT
iajs-2702	117	48	–	–	PUNCT
iajs-2702	117	49	(	(	PUNCT
iajs-2702	117	50	ƞ2,ɖ	ƞ2,ɖ	PROPN
iajs-2702	117	51	)	)	PUNCT
iajs-2702	117	52	)	)	PUNCT
iajs-2702	117	53	and	and	CCONJ
iajs-2702	117	54	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	117	55	∈̃	∈̃	PROPN
iajs-2702	117	56	(	(	PUNCT
iajs-2702	117	57	(	(	PUNCT
iajs-2702	117	58	ƞ2,ɖ	ƞ2,ɖ	PROPN
iajs-2702	117	59	)	)	PUNCT
iajs-2702	117	60	–	–	PUNCT
iajs-2702	117	61	(	(	PUNCT
iajs-2702	117	62	ƞ1,ɖ	ƞ1,ɖ	NOUN
iajs-2702	117	63	)	)	PUNCT
iajs-2702	117	64	)	)	PUNCT
iajs-2702	117	65	.	.	PUNCT
iajs-2702	118	1	𝐵𝑦	𝐵𝑦	PROPN
iajs-2702	118	2	𝑅𝑒𝑚𝑎𝑟𝑘	𝑅𝑒𝑚𝑎𝑟𝑘	PROPN
iajs-2702	118	3	3.3	3.3	NUM
iajs-2702	118	4	,	,	PUNCT
iajs-2702	118	5	(	(	PUNCT
iajs-2702	118	6	ƞ1,ɖ	ƞ1,ɖ	NOUN
iajs-2702	118	7	)	)	PUNCT
iajs-2702	118	8	and	and	CCONJ
iajs-2702	118	9	(	(	PUNCT
iajs-2702	118	10	ƞ2,ɖ	ƞ2,ɖ	PROPN
iajs-2702	118	11	)	)	PUNCT
iajs-2702	118	12	are	be	AUX
iajs-2702	118	13	𝑠ᶅ𝑝𝑔-open	𝑠ᶅ𝑝𝑔-open	ADJ
iajs-2702	118	14	sets	set	NOUN
iajs-2702	118	15	,	,	PUNCT
iajs-2702	118	16	and	and	CCONJ
iajs-2702	118	17	the	the	DET
iajs-2702	118	18	proof	proof	NOUN
iajs-2702	118	19	is	be	AUX
iajs-2702	118	20	over	over	ADV
iajs-2702	118	21	.	.	PUNCT
iajs-2702	119	1	proposition	proposition	NOUN
iajs-2702	119	2	4.7	4.7	NUM
iajs-2702	119	3	.	.	PUNCT
iajs-2702	120	1	if	if	SCONJ
iajs-2702	120	2	(	(	PUNCT
iajs-2702	120	3	ӽ	ӽ	NOUN
iajs-2702	120	4	,	,	PUNCT
iajs-2702	120	5	ʈ	ʈ	X
iajs-2702	120	6	,	,	PUNCT
iajs-2702	120	7	ɖ	ɖ	NOUN
iajs-2702	120	8	,	,	PUNCT
iajs-2702	120	9	ᶅ	ᶅ	NOUN
iajs-2702	120	10	)	)	PUNCT
iajs-2702	120	11	is	be	AUX
iajs-2702	120	12	a	a	DET
iajs-2702	120	13	𝑠ᶅ𝑝𝑔-ʈ1	𝑠ᶅ𝑝𝑔-ʈ1	ADJ
iajs-2702	120	14	-	-	PUNCT
iajs-2702	120	15	space	space	NOUN
iajs-2702	120	16	then	then	ADV
iajs-2702	120	17	it	it	PRON
iajs-2702	120	18	is	be	AUX
iajs-2702	120	19	a	a	DET
iajs-2702	120	20	𝑠ᶅ𝑝𝑔-ʈ0-𝑠𝑝𝑎𝑐𝑒.	𝑠ᶅ𝑝𝑔-ʈ0-𝑠𝑝𝑎𝑐𝑒.	NOUN
iajs-2702	120	21	proof	proof	NOUN
iajs-2702	120	22	:	:	PUNCT
iajs-2702	120	23	let	let	VERB
iajs-2702	120	24	ᶁ	ᶁ	ADP
iajs-2702	120	25	,	,	PUNCT
iajs-2702	120	26	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	120	27	∈̃	∈̃	PROPN
iajs-2702	120	28	ӽ̃	ӽ̃	PROPN
iajs-2702	120	29	such	such	ADJ
iajs-2702	120	30	that	that	PRON
iajs-2702	120	31	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	120	32	≠	≠	PROPN
iajs-2702	120	33	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	120	34	since	since	SCONJ
iajs-2702	120	35	(	(	PUNCT
iajs-2702	120	36	ӽ	ӽ	NOUN
iajs-2702	120	37	,	,	PUNCT
iajs-2702	120	38	ʈ	ʈ	X
iajs-2702	120	39	,	,	PUNCT
iajs-2702	120	40	ɖ	ɖ	NOUN
iajs-2702	120	41	,	,	PUNCT
iajs-2702	120	42	ᶅ	ᶅ	NOUN
iajs-2702	120	43	)	)	PUNCT
iajs-2702	120	44	is	be	AUX
iajs-2702	120	45	a	a	DET
iajs-2702	120	46	𝑠ᶅ𝑝𝑔-ʈ1-𝑠𝑝𝑎𝑐𝑒	𝑠ᶅ𝑝𝑔-ʈ1-𝑠𝑝𝑎𝑐𝑒	NUM
iajs-2702	120	47	,	,	PUNCT
iajs-2702	120	48	then	then	ADV
iajs-2702	120	49	∃(ƞ1	∃(ƞ1	PROPN
iajs-2702	120	50	,	,	PUNCT
iajs-2702	120	51	ɖ	ɖ	X
iajs-2702	120	52	)	)	PUNCT
iajs-2702	120	53	,	,	PUNCT
iajs-2702	120	54	(	(	PUNCT
iajs-2702	120	55	ƞ2	ƞ2	NOUN
iajs-2702	120	56	,	,	PUNCT
iajs-2702	120	57	ɖ	ɖ	X
iajs-2702	120	58	)	)	PUNCT
iajs-2702	120	59	∈	∈	PROPN
iajs-2702	120	60	𝑠ᶅ𝑝𝑔-o(ӽ	𝑠ᶅ𝑝𝑔-o(ӽ	PROPN
iajs-2702	120	61	)	)	PUNCT
iajs-2702	120	62	such	such	ADJ
iajs-2702	120	63	that	that	SCONJ
iajs-2702	120	64	,	,	PUNCT
iajs-2702	120	65	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	120	66	∈̃	∈̃	PROPN
iajs-2702	120	67	(	(	PUNCT
iajs-2702	120	68	(	(	PUNCT
iajs-2702	120	69	ƞ1	ƞ1	NOUN
iajs-2702	120	70	,	,	PUNCT
iajs-2702	120	71	ɖ	ɖ	NOUN
iajs-2702	120	72	)	)	PUNCT
iajs-2702	120	73	–	–	PUNCT
iajs-2702	120	74	(	(	PUNCT
iajs-2702	120	75	ƞ2	ƞ2	NOUN
iajs-2702	120	76	,	,	PUNCT
iajs-2702	120	77	ɖ	ɖ	NOUN
iajs-2702	120	78	)	)	PUNCT
iajs-2702	120	79	)	)	PUNCT
iajs-2702	120	80	and	and	CCONJ
iajs-2702	120	81	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	120	82	∈̃	∈̃	PROPN
iajs-2702	120	83	(	(	PUNCT
iajs-2702	120	84	(	(	PUNCT
iajs-2702	120	85	ƞ2	ƞ2	NOUN
iajs-2702	120	86	,	,	PUNCT
iajs-2702	120	87	ɖ	ɖ	NOUN
iajs-2702	120	88	)	)	PUNCT
iajs-2702	120	89	–	–	PUNCT
iajs-2702	120	90	(	(	PUNCT
iajs-2702	120	91	ƞ1	ƞ1	NOUN
iajs-2702	120	92	,	,	PUNCT
iajs-2702	120	93	ɖ	ɖ	NOUN
iajs-2702	120	94	)	)	PUNCT
iajs-2702	120	95	)	)	PUNCT
iajs-2702	120	96	.	.	PUNCT
iajs-2702	121	1	then	then	ADV
iajs-2702	121	2	∃	∃	PROPN
iajs-2702	121	3	(	(	PUNCT
iajs-2702	121	4	ƞ	ƞ	NOUN
iajs-2702	121	5	,	,	PUNCT
iajs-2702	121	6	ɖ	ɖ	X
iajs-2702	121	7	)	)	PUNCT
iajs-2702	121	8	∈	∈	NOUN
iajs-2702	121	9	𝑠ᶅ𝑝𝑔-o(ӽ)-open	𝑠ᶅ𝑝𝑔-o(ӽ)-open	ADJ
iajs-2702	121	10	set	set	NOUN
iajs-2702	121	11	𝑤ℎ𝑒𝑛𝑒𝑣𝑒𝑟	𝑤ℎ𝑒𝑛𝑒𝑣𝑒𝑟	NOUN
iajs-2702	121	12	,	,	PUNCT
iajs-2702	121	13	ᶁ𝓜∈̃	ᶁ𝓜∈̃	PROPN
iajs-2702	121	14	(	(	PUNCT
iajs-2702	121	15	ƞ	ƞ	NOUN
iajs-2702	121	16	,	,	PUNCT
iajs-2702	121	17	ɖ	ɖ	X
iajs-2702	121	18	)	)	PUNCT
iajs-2702	121	19	,	,	PUNCT
iajs-2702	121	20	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	121	21	∉̃	∉̃	ADJ
iajs-2702	121	22	(	(	PUNCT
iajs-2702	121	23	ƞ	ƞ	NOUN
iajs-2702	121	24	,	,	PUNCT
iajs-2702	121	25	ɖ	ɖ	NOUN
iajs-2702	121	26	)	)	PUNCT
iajs-2702	121	27	or	or	CCONJ
iajs-2702	121	28	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	121	29	∉̃	∉̃	NOUN
iajs-2702	121	30	(	(	PUNCT
iajs-2702	121	31	ƞ	ƞ	NOUN
iajs-2702	121	32	,	,	PUNCT
iajs-2702	121	33	ɖ	ɖ	NOUN
iajs-2702	121	34	)	)	PUNCT
iajs-2702	121	35	,	,	PUNCT
iajs-2702	121	36	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	121	37	∈̃	∈̃	PROPN
iajs-2702	121	38	(	(	PUNCT
iajs-2702	121	39	ƞ	ƞ	NOUN
iajs-2702	121	40	,	,	PUNCT
iajs-2702	121	41	ɖ	ɖ	NOUN
iajs-2702	121	42	)	)	PUNCT
iajs-2702	121	43	.	.	PUNCT
iajs-2702	122	1	the	the	DET
iajs-2702	122	2	conclusions	conclusion	NOUN
iajs-2702	122	3	in	in	ADP
iajs-2702	122	4	proposition	proposition	NOUN
iajs-2702	122	5	4.7	4.7	NUM
iajs-2702	122	6	,	,	PUNCT
iajs-2702	122	7	is	be	AUX
iajs-2702	122	8	not	not	PART
iajs-2702	122	9	𝑟𝑒𝑣𝑒𝑟𝑠𝑖𝑏𝑙𝑒	𝑟𝑒𝑣𝑒𝑟𝑠𝑖𝑏𝑙𝑒	VERB
iajs-2702	122	10	by	by	ADP
iajs-2702	122	11	𝑒𝑥𝑎𝑚𝑝𝑙𝑒	𝑒𝑥𝑎𝑚𝑝𝑙𝑒	NOUN
iajs-2702	122	12	4.8	4.8	NUM
iajs-2702	122	13	example	example	NOUN
iajs-2702	122	14	4.8	4.8	NUM
iajs-2702	122	15	.	.	PUNCT
iajs-2702	123	1	in	in	ADP
iajs-2702	123	2	the	the	DET
iajs-2702	123	3	space	space	NOUN
iajs-2702	123	4	(	(	PUNCT
iajs-2702	123	5	ӽ	ӽ	NOUN
iajs-2702	123	6	,	,	PUNCT
iajs-2702	123	7	ʈ	ʈ	X
iajs-2702	123	8	,	,	PUNCT
iajs-2702	123	9	ɖ	ɖ	NOUN
iajs-2702	123	10	,	,	PUNCT
iajs-2702	123	11	ᶅ	ᶅ	PROPN
iajs-2702	123	12	)	)	PUNCT
iajs-2702	123	13	;	;	PUNCT
iajs-2702	123	14	ӽ=	ӽ=	NOUN
iajs-2702	123	15	{	{	PUNCT
iajs-2702	123	16	ᶒ	ᶒ	PROPN
iajs-2702	123	17	,	,	PUNCT
iajs-2702	123	18	ᶆ	ᶆ	PROPN
iajs-2702	123	19	,	,	PUNCT
iajs-2702	123	20	ᶉ	ᶉ	NOUN
iajs-2702	123	21	}	}	PUNCT
iajs-2702	123	22	,	,	PUNCT
iajs-2702	123	23	ʈ=	ʈ=	NOUN
iajs-2702	123	24	{	{	PUNCT
iajs-2702	123	25	ӽ̃,∅̃	ӽ̃,∅̃	PROPN
iajs-2702	123	26	,	,	PUNCT
iajs-2702	123	27	(	(	PUNCT
iajs-2702	123	28	ƞ	ƞ	NOUN
iajs-2702	123	29	,	,	PUNCT
iajs-2702	123	30	ɖ	ɖ	NOUN
iajs-2702	123	31	)	)	PUNCT
iajs-2702	123	32	}	}	PUNCT
iajs-2702	123	33	such	such	ADJ
iajs-2702	123	34	that	that	SCONJ
iajs-2702	123	35	(	(	PUNCT
iajs-2702	123	36	ƞ	ƞ	NOUN
iajs-2702	123	37	,	,	PUNCT
iajs-2702	123	38	ɖ	ɖ	NOUN
iajs-2702	123	39	)	)	PUNCT
iajs-2702	123	40	=	=	NOUN
iajs-2702	123	41	{	{	PUNCT
iajs-2702	123	42	(	(	PUNCT
iajs-2702	123	43	ᶁ1	ᶁ1	PROPN
iajs-2702	123	44	,	,	PUNCT
iajs-2702	123	45	{	{	PUNCT
iajs-2702	123	46	ᶒ	ᶒ	PROPN
iajs-2702	123	47	,	,	PUNCT
iajs-2702	123	48	ᶆ}),(ᶁ2	ᶆ}),(ᶁ2	NOUN
iajs-2702	123	49	,	,	PUNCT
iajs-2702	123	50	{	{	PUNCT
iajs-2702	123	51	ᶒ	ᶒ	PROPN
iajs-2702	123	52	,	,	PUNCT
iajs-2702	123	53	ᶆ	ᶆ	PROPN
iajs-2702	123	54	}	}	PUNCT
iajs-2702	123	55	)	)	PUNCT
iajs-2702	123	56	}	}	PUNCT
iajs-2702	123	57	and	and	CCONJ
iajs-2702	123	58	ᶅ	ᶅ	X
iajs-2702	123	59	=	=	NOUN
iajs-2702	123	60	şş({ᶆ	şş({ᶆ	PROPN
iajs-2702	123	61	,	,	PUNCT
iajs-2702	123	62	ᶉ})ɖ	ᶉ})ɖ	PROPN
iajs-2702	123	63	.	.	PUNCT
iajs-2702	123	64	then	then	ADV
iajs-2702	123	65	şpo(ӽ)={şş(ӽ)ɖ{(ƞ′	şpo(ӽ)={şş(ӽ)ɖ{(ƞ′	PROPN
iajs-2702	123	66	,	,	PUNCT
iajs-2702	123	67	ɖ	ɖ	X
iajs-2702	123	68	)	)	PUNCT
iajs-2702	123	69	,	,	PUNCT
iajs-2702	123	70	(	(	PUNCT
iajs-2702	123	71	𝒵	𝒵	PROPN
iajs-2702	123	72	,	,	PUNCT
iajs-2702	123	73	ɖ	ɖ	NOUN
iajs-2702	123	74	)	)	PUNCT
iajs-2702	123	75	,	,	PUNCT
iajs-2702	123	76	(	(	PUNCT
iajs-2702	123	77	ℳ	ℳ	NOUN
iajs-2702	123	78	,	,	PUNCT
iajs-2702	123	79	ɖ	ɖ	NOUN
iajs-2702	123	80	)	)	PUNCT
iajs-2702	123	81	}	}	PUNCT
iajs-2702	123	82	}	}	PUNCT
iajs-2702	123	83	such	such	ADJ
iajs-2702	123	84	that	that	SCONJ
iajs-2702	123	85	(	(	PUNCT
iajs-2702	123	86	𝒵	𝒵	PROPN
iajs-2702	123	87	,	,	PUNCT
iajs-2702	123	88	ɖ	ɖ	X
iajs-2702	123	89	)	)	PUNCT
iajs-2702	123	90	=	=	NOUN
iajs-2702	123	91	{	{	PUNCT
iajs-2702	123	92	(	(	PUNCT
iajs-2702	123	93	ᶁ1,{∅	ᶁ1,{∅	ADJ
iajs-2702	123	94	}	}	PUNCT
iajs-2702	123	95	)	)	PUNCT
iajs-2702	123	96	,	,	PUNCT
iajs-2702	123	97	(	(	PUNCT
iajs-2702	123	98	ᶁ2,{ᶉ	ᶁ2,{ᶉ	NOUN
iajs-2702	123	99	}	}	PUNCT
iajs-2702	123	100	)	)	PUNCT
iajs-2702	123	101	}	}	PUNCT
iajs-2702	123	102	,	,	PUNCT
iajs-2702	123	103	and	and	CCONJ
iajs-2702	123	104	(	(	PUNCT
iajs-2702	123	105	ℳ,ɖ)={(ᶁ1,{ᶉ}),(ᶁ2	ℳ,ɖ)={(ᶁ1,{ᶉ}),(ᶁ2	PROPN
iajs-2702	123	106	,	,	PUNCT
iajs-2702	123	107	{	{	PUNCT
iajs-2702	123	108	∅	∅	NOUN
iajs-2702	123	109	}	}	PUNCT
iajs-2702	123	110	)	)	PUNCT
iajs-2702	123	111	}	}	PUNCT
iajs-2702	123	112	.	.	PUNCT
iajs-2702	124	1	so	so	ADV
iajs-2702	124	2	,	,	PUNCT
iajs-2702	124	3	sᶅpgc(ӽ	sᶅpgc(ӽ	NOUN
iajs-2702	124	4	)	)	PUNCT
iajs-2702	124	5	=	=	NOUN
iajs-2702	124	6	{	{	PUNCT
iajs-2702	124	7	∅̃	∅̃	NOUN
iajs-2702	124	8	,	,	PUNCT
iajs-2702	124	9	ӽ	ӽ	X
iajs-2702	124	10	̃	̃	PROPN
iajs-2702	124	11	,	,	PUNCT
iajs-2702	124	12	(	(	PUNCT
iajs-2702	124	13	ƞ′	ƞ′	NOUN
iajs-2702	124	14	,	,	PUNCT
iajs-2702	124	15	ɖ	ɖ	NOUN
iajs-2702	124	16	)	)	PUNCT
iajs-2702	124	17	,	,	PUNCT
iajs-2702	124	18	(	(	PUNCT
iajs-2702	124	19	𝒵	𝒵	PROPN
iajs-2702	124	20	,	,	PUNCT
iajs-2702	124	21	ɖ	ɖ	NOUN
iajs-2702	124	22	)	)	PUNCT
iajs-2702	124	23	,	,	PUNCT
iajs-2702	124	24	(	(	PUNCT
iajs-2702	124	25	ℳ	ℳ	NOUN
iajs-2702	124	26	,	,	PUNCT
iajs-2702	124	27	ɖ	ɖ	NOUN
iajs-2702	124	28	)	)	PUNCT
iajs-2702	124	29	}	}	PUNCT
iajs-2702	124	30	and	and	CCONJ
iajs-2702	124	31	sᶅpg	sᶅpg	NOUN
iajs-2702	124	32	-	-	PUNCT
iajs-2702	124	33	o(ӽ	o(ӽ	NOUN
iajs-2702	124	34	)	)	PUNCT
iajs-2702	124	35	=	=	PRON
iajs-2702	124	36	{	{	PUNCT
iajs-2702	124	37	∅̃	∅̃	NOUN
iajs-2702	124	38	,	,	PUNCT
iajs-2702	124	39	ӽ̃,(ƞ	ӽ̃,(ƞ	PROPN
iajs-2702	124	40	,	,	PUNCT
iajs-2702	124	41	ɖ	ɖ	X
iajs-2702	124	42	)	)	PUNCT
iajs-2702	124	43	,	,	PUNCT
iajs-2702	124	44	(	(	PUNCT
iajs-2702	124	45	𝒵′	𝒵′	NOUN
iajs-2702	124	46	,	,	PUNCT
iajs-2702	124	47	ɖ),(ℳ′	ɖ),(ℳ′	NOUN
iajs-2702	124	48	,	,	PUNCT
iajs-2702	124	49	ɖ	ɖ	X
iajs-2702	124	50	)	)	PUNCT
iajs-2702	124	51	}	}	PUNCT
iajs-2702	124	52	.	.	PUNCT
iajs-2702	125	1	implies	imply	VERB
iajs-2702	125	2	(	(	PUNCT
iajs-2702	125	3	ӽ	ӽ	NOUN
iajs-2702	125	4	,	,	PUNCT
iajs-2702	125	5	ʈ	ʈ	X
iajs-2702	125	6	,	,	PUNCT
iajs-2702	125	7	ɖ	ɖ	NOUN
iajs-2702	125	8	,	,	PUNCT
iajs-2702	125	9	ᶅ	ᶅ	NOUN
iajs-2702	125	10	)	)	PUNCT
iajs-2702	125	11	is	be	AUX
iajs-2702	125	12	a	a	DET
iajs-2702	125	13	softʈ0	softʈ0	NOUN
iajs-2702	125	14	-	-	NOUN
iajs-2702	125	15	space	space	NOUN
iajs-2702	125	16	,	,	PUNCT
iajs-2702	125	17	which	which	PRON
iajs-2702	125	18	is	be	AUX
iajs-2702	125	19	not	not	PART
iajs-2702	125	20	sᶅpgʈ1	sᶅpgʈ1	NOUN
iajs-2702	125	21	-	-	PUNCT
iajs-2702	125	22	space	space	NOUN
iajs-2702	125	23	.	.	PUNCT
iajs-2702	126	1	ibn	ibn	PROPN
iajs-2702	126	2	al	al	PROPN
iajs-2702	126	3	-	-	PUNCT
iajs-2702	126	4	haitham	haitham	PROPN
iajs-2702	126	5	jour	jour	X
iajs-2702	126	6	.	.	PROPN
iajs-2702	126	7	for	for	ADP
iajs-2702	126	8	pure	pure	ADJ
iajs-2702	126	9	&	&	CCONJ
iajs-2702	126	10	appl	appl	PROPN
iajs-2702	126	11	.	.	PUNCT
iajs-2702	127	1	sci	sci	PROPN
iajs-2702	127	2	.	.	PROPN
iajs-2702	128	1	34(4)2021	34(4)2021	NUM
iajs-2702	128	2	50	50	NUM
iajs-2702	128	3	𝐃𝐞𝐟𝐢𝐧𝐢𝐭𝐢𝐨𝐧	𝐃𝐞𝐟𝐢𝐧𝐢𝐭𝐢𝐨𝐧	PROPN
iajs-2702	128	4	4.9	4.9	NUM
iajs-2702	128	5	.	.	PUNCT
iajs-2702	129	1	(	(	PUNCT
iajs-2702	129	2	ӽ	ӽ	X
iajs-2702	129	3	,	,	PUNCT
iajs-2702	129	4	ʈ	ʈ	X
iajs-2702	129	5	,	,	PUNCT
iajs-2702	129	6	ɖ	ɖ	NOUN
iajs-2702	129	7	,	,	PUNCT
iajs-2702	129	8	ᶅ	ᶅ	NOUN
iajs-2702	129	9	)	)	PUNCT
iajs-2702	129	10	is	be	AUX
iajs-2702	129	11	a	a	DET
iajs-2702	129	12	soft	soft	ADJ
iajs-2702	129	13	-	-	PUNCT
iajs-2702	129	14	ᶅ-𝑝𝑟𝑒-𝑔-ʈ2	ᶅ-𝑝𝑟𝑒-𝑔-ʈ2	NOUN
iajs-2702	129	15	-	-	PUNCT
iajs-2702	129	16	space	space	NOUN
iajs-2702	129	17	(	(	PUNCT
iajs-2702	129	18	briefly	briefly	NOUN
iajs-2702	129	19	𝑠ᶅ𝑝𝑔-ʈ2	𝑠ᶅ𝑝𝑔-ʈ2	NOUN
iajs-2702	129	20	-	-	PUNCT
iajs-2702	129	21	space	space	NOUN
iajs-2702	129	22	)	)	PUNCT
iajs-2702	129	23	.	.	PUNCT
iajs-2702	130	1	if	if	SCONJ
iajs-2702	130	2	for	for	ADP
iajs-2702	130	3	any	any	DET
iajs-2702	130	4	two	two	NUM
iajs-2702	130	5	𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑡	𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑡	ADJ
iajs-2702	130	6	𝑒𝑙𝑒𝑚𝑒𝑛𝑡𝑠	𝑒𝑙𝑒𝑚𝑒𝑛𝑡𝑠	NOUN
iajs-2702	130	7	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	130	8	≠	≠	PROPN
iajs-2702	130	9	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	130	10	there	there	PRON
iajs-2702	130	11	are	be	VERB
iajs-2702	130	12	𝑠ᶅ𝑝𝑔-𝑜𝑝𝑒𝑛	𝑠ᶅ𝑝𝑔-𝑜𝑝𝑒𝑛	ADJ
iajs-2702	130	13	sets	set	NOUN
iajs-2702	130	14	(	(	PUNCT
iajs-2702	130	15	ƌ1,ɖ	ƌ1,ɖ	PROPN
iajs-2702	130	16	)	)	PUNCT
iajs-2702	130	17	,	,	PUNCT
iajs-2702	130	18	(	(	PUNCT
iajs-2702	130	19	ƌ2,ɖ	ƌ2,ɖ	PROPN
iajs-2702	130	20	)	)	PUNCT
iajs-2702	130	21	such	such	ADJ
iajs-2702	130	22	that	that	SCONJ
iajs-2702	130	23	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	130	24	∈̃	∈̃	PROPN
iajs-2702	130	25	(	(	PUNCT
iajs-2702	130	26	ƌ1,ɖ	ƌ1,ɖ	PROPN
iajs-2702	130	27	)	)	PUNCT
iajs-2702	130	28	,	,	PUNCT
iajs-2702	130	29	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	130	30	∈̃	∈̃	PROPN
iajs-2702	130	31	(	(	PUNCT
iajs-2702	130	32	ƌ2,ɖ)and	ƌ2,ɖ)and	NUM
iajs-2702	130	33	(	(	PUNCT
iajs-2702	130	34	ƌ1,ɖ	ƌ1,ɖ	PROPN
iajs-2702	130	35	)	)	PUNCT
iajs-2702	130	36	∩	∩	NOUN
iajs-2702	130	37	(	(	PUNCT
iajs-2702	130	38	ƌ2,ɖ	ƌ2,ɖ	PROPN
iajs-2702	130	39	)	)	PUNCT
iajs-2702	130	40	=	=	PRON
iajs-2702	130	41	{	{	PUNCT
iajs-2702	130	42	∅̃	∅̃	NOUN
iajs-2702	130	43	}	}	PUNCT
iajs-2702	130	44	.	.	PUNCT
iajs-2702	131	1	example	example	NOUN
iajs-2702	132	1	4.10	4.10	NUM
iajs-2702	132	2	.	.	PUNCT
iajs-2702	133	1	a	a	DET
iajs-2702	133	2	𝑡𝑜𝑝𝑜𝑙𝑜𝑔𝑖𝑐𝑎𝑙	𝑡𝑜𝑝𝑜𝑙𝑜𝑔𝑖𝑐𝑎𝑙	ADJ
iajs-2702	133	3	space	space	NOUN
iajs-2702	133	4	(	(	PUNCT
iajs-2702	133	5	ӽ	ӽ	NOUN
iajs-2702	133	6	,	,	PUNCT
iajs-2702	133	7	ʈ	ʈ	X
iajs-2702	133	8	,	,	PUNCT
iajs-2702	133	9	ɖ	ɖ	NOUN
iajs-2702	133	10	,	,	PUNCT
iajs-2702	133	11	ᶅ	ᶅ	NOUN
iajs-2702	133	12	)	)	PUNCT
iajs-2702	133	13	;	;	PUNCT
iajs-2702	133	14	ӽ	ӽ	X
iajs-2702	133	15	=	=	PRON
iajs-2702	133	16	{	{	PUNCT
iajs-2702	133	17	ᶒ	ᶒ	PROPN
iajs-2702	133	18	,	,	PUNCT
iajs-2702	133	19	ᶆ	ᶆ	PROPN
iajs-2702	133	20	,	,	PUNCT
iajs-2702	133	21	ᶉ	ᶉ	NOUN
iajs-2702	133	22	}	}	PUNCT
iajs-2702	133	23	,	,	PUNCT
iajs-2702	133	24	ʈ=	ʈ=	NOUN
iajs-2702	133	25	{	{	PUNCT
iajs-2702	133	26	ӽ̃	ӽ̃	PROPN
iajs-2702	133	27	,	,	PUNCT
iajs-2702	133	28	∅̃	∅̃	NOUN
iajs-2702	133	29	}	}	PUNCT
iajs-2702	133	30	and	and	CCONJ
iajs-2702	133	31	ᶅ=	ᶅ=	NOUN
iajs-2702	133	32	şş(ӽ)ɖ	şş(ӽ)ɖ	PROPN
iajs-2702	133	33	.	.	PUNCT
iajs-2702	133	34	then	then	ADV
iajs-2702	133	35	ş𝑝𝑂(ӽ)=	ş𝑝𝑂(ӽ)=	PROPN
iajs-2702	133	36	şş(ӽ)ɖ	şş(ӽ)ɖ	PROPN
iajs-2702	133	37	.	.	PUNCT
iajs-2702	134	1	so	so	ADV
iajs-2702	134	2	,	,	PUNCT
iajs-2702	134	3	𝑠ᶅ𝑝𝑔-𝐶(ӽ)=𝑠ᶅ𝑝𝑔-𝑂(ӽ)=şş(ӽ)ɖ	𝑠ᶅ𝑝𝑔-𝐶(ӽ)=𝑠ᶅ𝑝𝑔-𝑂(ӽ)=şş(ӽ)ɖ	PROPN
iajs-2702	134	4	.	.	PUNCT
iajs-2702	135	1	then	then	ADV
iajs-2702	135	2	(	(	PUNCT
iajs-2702	135	3	ӽ	ӽ	X
iajs-2702	135	4	,	,	PUNCT
iajs-2702	135	5	ʈ	ʈ	X
iajs-2702	135	6	,	,	PUNCT
iajs-2702	135	7	ɖ	ɖ	NOUN
iajs-2702	135	8	,	,	PUNCT
iajs-2702	135	9	ᶅ	ᶅ	NOUN
iajs-2702	135	10	)	)	PUNCT
iajs-2702	135	11	is	be	AUX
iajs-2702	135	12	a	a	DET
iajs-2702	135	13	𝑠ᶅ𝑝𝑔-ʈ2𝑠𝑝𝑎𝑐𝑒.	𝑠ᶅ𝑝𝑔-ʈ2𝑠𝑝𝑎𝑐𝑒.	PROPN
iajs-2702	135	14	remark	remark	NOUN
iajs-2702	135	15	4.11	4.11	NUM
iajs-2702	135	16	.	.	PUNCT
iajs-2702	136	1	if	if	SCONJ
iajs-2702	136	2	(	(	PUNCT
iajs-2702	136	3	ӽ	ӽ	NOUN
iajs-2702	136	4	,	,	PUNCT
iajs-2702	136	5	ʈ	ʈ	X
iajs-2702	136	6	,	,	PUNCT
iajs-2702	136	7	ɖ	ɖ	X
iajs-2702	136	8	)	)	PUNCT
iajs-2702	136	9	is	be	AUX
iajs-2702	136	10	a	a	DET
iajs-2702	136	11	soft	soft	ADJ
iajs-2702	136	12	-	-	PUNCT
iajs-2702	136	13	ʈ2-𝑠𝑝𝑎𝑐𝑒	ʈ2-𝑠𝑝𝑎𝑐𝑒	NOUN
iajs-2702	136	14	,	,	PUNCT
iajs-2702	136	15	then	then	ADV
iajs-2702	136	16	(	(	PUNCT
iajs-2702	136	17	ӽ	ӽ	X
iajs-2702	136	18	,	,	PUNCT
iajs-2702	136	19	ʈ	ʈ	X
iajs-2702	136	20	,	,	PUNCT
iajs-2702	136	21	ɖ	ɖ	NOUN
iajs-2702	136	22	,	,	PUNCT
iajs-2702	136	23	ᶅ	ᶅ	NOUN
iajs-2702	136	24	)	)	PUNCT
iajs-2702	136	25	is	be	AUX
iajs-2702	136	26	a	a	DET
iajs-2702	136	27	𝑠ᶅ𝑝𝑔-ʈ2-𝑠𝑝𝑎𝑐𝑒.	𝑠ᶅ𝑝𝑔-ʈ2-𝑠𝑝𝑎𝑐𝑒.	NOUN
iajs-2702	136	28	proof	proof	NOUN
iajs-2702	136	29	:	:	PUNCT
iajs-2702	136	30	let	let	VERB
iajs-2702	136	31	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	136	32	,	,	PUNCT
iajs-2702	136	33	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	136	34	∈̃	∈̃	NOUN
iajs-2702	136	35	ӽ̃	ӽ̃	PROPN
iajs-2702	136	36	whenever	whenever	SCONJ
iajs-2702	136	37	,	,	PUNCT
iajs-2702	136	38	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	136	39	≠	≠	PROPN
iajs-2702	136	40	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	136	41	since	since	SCONJ
iajs-2702	136	42	(	(	PUNCT
iajs-2702	136	43	ӽ	ӽ	NOUN
iajs-2702	136	44	,	,	PUNCT
iajs-2702	136	45	ʈ	ʈ	X
iajs-2702	136	46	,	,	PUNCT
iajs-2702	136	47	ɖ	ɖ	NOUN
iajs-2702	136	48	,	,	PUNCT
iajs-2702	136	49	ᶅ	ᶅ	NOUN
iajs-2702	136	50	)	)	PUNCT
iajs-2702	136	51	is	be	AUX
iajs-2702	136	52	a	a	DET
iajs-2702	136	53	soft	soft	ADJ
iajs-2702	136	54	-	-	PUNCT
iajs-2702	136	55	ʈ2-𝑠𝑝𝑎𝑐𝑒	ʈ2-𝑠𝑝𝑎𝑐𝑒	NOUN
iajs-2702	136	56	,	,	PUNCT
iajs-2702	136	57	then	then	ADV
iajs-2702	136	58	∃	∃	PROPN
iajs-2702	136	59	(	(	PUNCT
iajs-2702	136	60	ƌ1,ɖ),(ƌ2,ɖ	ƌ1,ɖ),(ƌ2,ɖ	PROPN
iajs-2702	136	61	)	)	PUNCT
iajs-2702	136	62	∈	∈	PROPN
iajs-2702	136	63	ʈ	ʈ	ADP
iajs-2702	136	64	such	such	ADJ
iajs-2702	136	65	that	that	DET
iajs-2702	136	66	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	136	67	∈̃	∈̃	PROPN
iajs-2702	136	68	(	(	PUNCT
iajs-2702	136	69	ƌ1,ɖ	ƌ1,ɖ	PROPN
iajs-2702	136	70	)	)	PUNCT
iajs-2702	136	71	,	,	PUNCT
iajs-2702	136	72	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	136	73	∈̃	∈̃	PROPN
iajs-2702	136	74	(	(	PUNCT
iajs-2702	136	75	ƌ2,ɖ	ƌ2,ɖ	PROPN
iajs-2702	136	76	)	)	PUNCT
iajs-2702	136	77	and	and	CCONJ
iajs-2702	136	78	(	(	PUNCT
iajs-2702	136	79	ƌ1,ɖ	ƌ1,ɖ	PROPN
iajs-2702	136	80	)	)	PUNCT
iajs-2702	136	81	∩̃(ƌ2,ɖ	∩̃(ƌ2,ɖ	NOUN
iajs-2702	136	82	)	)	PUNCT
iajs-2702	136	83	=	=	PRON
iajs-2702	136	84	{	{	PUNCT
iajs-2702	136	85	∅̃	∅̃	NOUN
iajs-2702	136	86	}	}	PUNCT
iajs-2702	136	87	.	.	PUNCT
iajs-2702	137	1	by	by	ADP
iajs-2702	137	2	remark	remark	NOUN
iajs-2702	137	3	3.3	3.3	NUM
iajs-2702	137	4	,	,	PUNCT
iajs-2702	137	5	there	there	PRON
iajs-2702	137	6	are	be	VERB
iajs-2702	137	7	𝑠ᶅ𝑝𝑔-open	𝑠ᶅ𝑝𝑔-open	ADJ
iajs-2702	137	8	sets	set	NOUN
iajs-2702	137	9	(	(	PUNCT
iajs-2702	137	10	ƌ1,ɖ	ƌ1,ɖ	PROPN
iajs-2702	137	11	)	)	PUNCT
iajs-2702	137	12	,	,	PUNCT
iajs-2702	137	13	(	(	PUNCT
iajs-2702	137	14	ƌ2,ɖ	ƌ2,ɖ	PROPN
iajs-2702	137	15	)	)	PUNCT
iajs-2702	137	16	,	,	PUNCT
iajs-2702	137	17	such	such	ADJ
iajs-2702	137	18	that	that	DET
iajs-2702	137	19	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	137	20	∈̃	∈̃	PROPN
iajs-2702	137	21	(	(	PUNCT
iajs-2702	137	22	ƌ1,ɖ	ƌ1,ɖ	PROPN
iajs-2702	137	23	)	)	PUNCT
iajs-2702	137	24	,	,	PUNCT
iajs-2702	137	25	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	137	26	∈̃	∈̃	PROPN
iajs-2702	137	27	(	(	PUNCT
iajs-2702	137	28	ƌ2,ɖ	ƌ2,ɖ	PROPN
iajs-2702	137	29	)	)	PUNCT
iajs-2702	137	30	and	and	CCONJ
iajs-2702	137	31	(	(	PUNCT
iajs-2702	137	32	ƌ1,ɖ	ƌ1,ɖ	PROPN
iajs-2702	137	33	)	)	PUNCT
iajs-2702	137	34	∩̃	∩̃	PUNCT
iajs-2702	137	35	(	(	PUNCT
iajs-2702	137	36	ƌ2,ɖ	ƌ2,ɖ	PROPN
iajs-2702	137	37	)	)	PUNCT
iajs-2702	137	38	=	=	PRON
iajs-2702	137	39	{	{	PUNCT
iajs-2702	137	40	∅̃	∅̃	NOUN
iajs-2702	137	41	}	}	PUNCT
iajs-2702	137	42	.	.	PUNCT
iajs-2702	138	1	remark	remark	PROPN
iajs-2702	138	2	4.12	4.12	NUM
iajs-2702	138	3	.	.	PUNCT
iajs-2702	139	1	if	if	SCONJ
iajs-2702	139	2	(	(	PUNCT
iajs-2702	139	3	ӽ	ӽ	NOUN
iajs-2702	139	4	,	,	PUNCT
iajs-2702	139	5	ʈ	ʈ	X
iajs-2702	139	6	,	,	PUNCT
iajs-2702	139	7	ɖ	ɖ	NOUN
iajs-2702	139	8	,	,	PUNCT
iajs-2702	139	9	ᶅ	ᶅ	NOUN
iajs-2702	139	10	)	)	PUNCT
iajs-2702	139	11	is	be	AUX
iajs-2702	139	12	a	a	DET
iajs-2702	139	13	𝑠ᶅ𝑝𝑔-ʈ2-𝑠𝑝𝑎𝑐𝑒	𝑠ᶅ𝑝𝑔-ʈ2-𝑠𝑝𝑎𝑐𝑒	PROPN
iajs-2702	139	14	then	then	ADV
iajs-2702	139	15	it	it	PRON
iajs-2702	139	16	is	be	AUX
iajs-2702	139	17	a	a	DET
iajs-2702	139	18	𝑠ᶅ𝑝𝑔-ʈ1-𝑠𝑝𝑎𝑐𝑒.	𝑠ᶅ𝑝𝑔-ʈ1-𝑠𝑝𝑎𝑐𝑒.	ADJ
iajs-2702	139	19	proof	proof	NOUN
iajs-2702	139	20	:	:	PUNCT
iajs-2702	139	21	let	let	VERB
iajs-2702	139	22	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	139	23	,	,	PUNCT
iajs-2702	139	24	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	139	25	∈̃	∈̃	NOUN
iajs-2702	139	26	ӽ̃	ӽ̃	PROPN
iajs-2702	139	27	whenever	whenever	SCONJ
iajs-2702	139	28	,	,	PUNCT
iajs-2702	139	29	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	139	30	≠	≠	PROPN
iajs-2702	139	31	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	139	32	since	since	SCONJ
iajs-2702	139	33	(	(	PUNCT
iajs-2702	139	34	ӽ	ӽ	NOUN
iajs-2702	139	35	,	,	PUNCT
iajs-2702	139	36	ʈ	ʈ	X
iajs-2702	139	37	,	,	PUNCT
iajs-2702	139	38	ɖ	ɖ	NOUN
iajs-2702	139	39	,	,	PUNCT
iajs-2702	139	40	ᶅ	ᶅ	NOUN
iajs-2702	139	41	)	)	PUNCT
iajs-2702	139	42	is	be	AUX
iajs-2702	139	43	a	a	DET
iajs-2702	139	44	𝑠ᶅ𝑝𝑔-ʈ2-𝑠𝑝𝑎𝑐𝑒	𝑠ᶅ𝑝𝑔-ʈ2-𝑠𝑝𝑎𝑐𝑒	PROPN
iajs-2702	139	45	,	,	PUNCT
iajs-2702	139	46	then	then	ADV
iajs-2702	139	47	there	there	PRON
iajs-2702	139	48	are	be	VERB
iajs-2702	139	49	𝑠ᶅ𝑝𝑔-open	𝑠ᶅ𝑝𝑔-open	ADJ
iajs-2702	139	50	sets	set	NOUN
iajs-2702	139	51	(	(	PUNCT
iajs-2702	139	52	ƌ1,ɖ	ƌ1,ɖ	PROPN
iajs-2702	139	53	)	)	PUNCT
iajs-2702	139	54	,	,	PUNCT
iajs-2702	139	55	(	(	PUNCT
iajs-2702	139	56	ƌ2,ɖ	ƌ2,ɖ	PROPN
iajs-2702	139	57	)	)	PUNCT
iajs-2702	139	58	such	such	ADJ
iajs-2702	139	59	that	that	SCONJ
iajs-2702	139	60	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	139	61	∈̃	∈̃	PROPN
iajs-2702	139	62	(	(	PUNCT
iajs-2702	139	63	ƌ1,ɖ	ƌ1,ɖ	PROPN
iajs-2702	139	64	)	)	PUNCT
iajs-2702	139	65	,	,	PUNCT
iajs-2702	139	66	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	139	67	∈̃	∈̃	PROPN
iajs-2702	139	68	(	(	PUNCT
iajs-2702	139	69	ƌ2,ɖ	ƌ2,ɖ	PROPN
iajs-2702	139	70	)	)	PUNCT
iajs-2702	139	71	and	and	CCONJ
iajs-2702	139	72	(	(	PUNCT
iajs-2702	139	73	ƌ1,ɖ	ƌ1,ɖ	PROPN
iajs-2702	139	74	)	)	PUNCT
iajs-2702	139	75	∩(ƌ2,ɖ	∩(ƌ2,ɖ	NOUN
iajs-2702	139	76	)	)	PUNCT
iajs-2702	139	77	=	=	PRON
iajs-2702	139	78	{	{	PUNCT
iajs-2702	139	79	∅̃	∅̃	NOUN
iajs-2702	139	80	}	}	PUNCT
iajs-2702	139	81	.	.	PUNCT
iajs-2702	140	1	implies	imply	VERB
iajs-2702	140	2	,	,	PUNCT
iajs-2702	140	3	d𝓜	d𝓜	PROPN
iajs-2702	140	4	∈̃	∈̃	PROPN
iajs-2702	140	5	(	(	PUNCT
iajs-2702	140	6	(	(	PUNCT
iajs-2702	140	7	ƌ1,ɖ	ƌ1,ɖ	PROPN
iajs-2702	140	8	)	)	PUNCT
iajs-2702	140	9	–	–	PUNCT
iajs-2702	140	10	(	(	PUNCT
iajs-2702	140	11	ƌ2,ɖ	ƌ2,ɖ	PROPN
iajs-2702	140	12	)	)	PUNCT
iajs-2702	140	13	)	)	PUNCT
iajs-2702	140	14	and	and	CCONJ
iajs-2702	140	15	d𝓝	d𝓝	PROPN
iajs-2702	140	16	∈̃	∈̃	PROPN
iajs-2702	140	17	(	(	PUNCT
iajs-2702	140	18	(	(	PUNCT
iajs-2702	140	19	ƌ2,ɖ	ƌ2,ɖ	PROPN
iajs-2702	140	20	)	)	PUNCT
iajs-2702	140	21	–	–	PUNCT
iajs-2702	140	22	(	(	PUNCT
iajs-2702	140	23	ƌ1,ɖ	ƌ1,ɖ	PROPN
iajs-2702	140	24	)	)	PUNCT
iajs-2702	140	25	)	)	PUNCT
iajs-2702	140	26	.	.	PUNCT
iajs-2702	141	1	the	the	DET
iajs-2702	141	2	𝑐𝑜𝑛𝑐𝑙𝑢𝑠𝑖𝑜𝑛𝑠	𝑐𝑜𝑛𝑐𝑙𝑢𝑠𝑖𝑜𝑛𝑠	NOUN
iajs-2702	141	3	in	in	ADP
iajs-2702	141	4	remark	remark	NOUN
iajs-2702	141	5	4.12	4.12	NUM
iajs-2702	141	6	are	be	AUX
iajs-2702	141	7	not	not	PART
iajs-2702	141	8	𝑟𝑒𝑣𝑒𝑟𝑠𝑖𝑏𝑙𝑒	𝑟𝑒𝑣𝑒𝑟𝑠𝑖𝑏𝑙𝑒	ADJ
iajs-2702	141	9	by	by	ADP
iajs-2702	141	10	example	example	NOUN
iajs-2702	141	11	4.5	4.5	NUM
iajs-2702	141	12	.	.	PUNCT
iajs-2702	142	1	a	a	DET
iajs-2702	142	2	space	space	NOUN
iajs-2702	142	3	(	(	PUNCT
iajs-2702	142	4	ӽ	ӽ	NOUN
iajs-2702	142	5	,	,	PUNCT
iajs-2702	142	6	ʈ	ʈ	X
iajs-2702	142	7	,	,	PUNCT
iajs-2702	142	8	ɖ	ɖ	NOUN
iajs-2702	142	9	,	,	PUNCT
iajs-2702	142	10	ᶅ	ᶅ	NOUN
iajs-2702	142	11	)	)	PUNCT
iajs-2702	142	12	is	be	AUX
iajs-2702	142	13	a	a	DET
iajs-2702	142	14	𝑠ᶅ𝑝𝑔-ʈ1	𝑠ᶅ𝑝𝑔-ʈ1	ADJ
iajs-2702	142	15	-	-	PUNCT
iajs-2702	142	16	space	space	NOUN
iajs-2702	142	17	.	.	PUNCT
iajs-2702	143	1	if	if	SCONJ
iajs-2702	143	2	for	for	ADP
iajs-2702	143	3	each	each	DET
iajs-2702	143	4	,	,	PUNCT
iajs-2702	143	5	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	143	6	,	,	PUNCT
iajs-2702	143	7	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	143	8	∈̃	∈̃	PROPN
iajs-2702	143	9	ӽ̃	ӽ̃	PROPN
iajs-2702	143	10	and	and	CCONJ
iajs-2702	143	11	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	143	12	≠	≠	PROPN
iajs-2702	143	13	ᶁ𝓝.	ᶁ𝓝.	NOUN
iajs-2702	143	14	then	then	ADV
iajs-2702	143	15	there	there	PRON
iajs-2702	143	16	are	be	VERB
iajs-2702	143	17	𝑠ᶅ𝑝𝑔-𝑜𝑝𝑒𝑛	𝑠ᶅ𝑝𝑔-𝑜𝑝𝑒𝑛	ADJ
iajs-2702	143	18	sets	set	NOUN
iajs-2702	143	19	(	(	PUNCT
iajs-2702	143	20	ӽ̃	ӽ̃	PROPN
iajs-2702	143	21	–	–	PUNCT
iajs-2702	143	22	ȴ𝓝	ȴ𝓝	NUM
iajs-2702	143	23	)	)	PUNCT
iajs-2702	143	24	,	,	PUNCT
iajs-2702	143	25	(	(	PUNCT
iajs-2702	143	26	ӽ̃	ӽ̃	PROPN
iajs-2702	143	27	–	–	PUNCT
iajs-2702	143	28	ȴ𝓜	ȴ𝓜	NOUN
iajs-2702	143	29	)	)	PUNCT
iajs-2702	143	30	whenever	whenever	ADV
iajs-2702	143	31	,	,	PUNCT
iajs-2702	143	32	ȴ𝓝	ȴ𝓝	ADJ
iajs-2702	143	33	and	and	CCONJ
iajs-2702	143	34	ȴ𝓜	ȴ𝓜	NOUN
iajs-2702	143	35	are	be	AUX
iajs-2702	143	36	two	two	NUM
iajs-2702	143	37	𝑓𝑖𝑛𝑖𝑡𝑒	𝑓𝑖𝑛𝑖𝑡𝑒	ADJ
iajs-2702	143	38	sets	set	NOUN
iajs-2702	143	39	such	such	ADJ
iajs-2702	143	40	that	that	SCONJ
iajs-2702	143	41	ȴ𝓝	ȴ𝓝	ADJ
iajs-2702	143	42	⊆	⊆	NUM
iajs-2702	143	43	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	143	44	,	,	PUNCT
iajs-2702	143	45	ȴ𝓜	ȴ𝓜	PROPN
iajs-2702	143	46	⊆	⊆	NUM
iajs-2702	143	47	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	143	48	such	such	ADJ
iajs-2702	143	49	that	that	PRON
iajs-2702	143	50	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	143	51	∈̃	∈̃	NOUN
iajs-2702	143	52	(	(	PUNCT
iajs-2702	143	53	ӽ̃	ӽ̃	PROPN
iajs-2702	143	54	–	–	PUNCT
iajs-2702	143	55	ȴ𝓝	ȴ𝓝	ADJ
iajs-2702	143	56	)	)	PUNCT
iajs-2702	143	57	and	and	CCONJ
iajs-2702	143	58	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	143	59	∈̃	∈̃	PROPN
iajs-2702	143	60	(	(	PUNCT
iajs-2702	143	61	ӽ̃	ӽ̃	PROPN
iajs-2702	143	62	–	–	PUNCT
iajs-2702	143	63	ȴ𝓜	ȴ𝓜	NOUN
iajs-2702	143	64	)	)	PUNCT
iajs-2702	143	65	and	and	CCONJ
iajs-2702	143	66	(	(	PUNCT
iajs-2702	143	67	ӽ̃	ӽ̃	PROPN
iajs-2702	143	68	–	–	PUNCT
iajs-2702	143	69	ȴ𝓝	ȴ𝓝	NUM
iajs-2702	143	70	)	)	PUNCT
iajs-2702	143	71	∩̃	∩̃	PUNCT
iajs-2702	144	1	(	(	PUNCT
iajs-2702	144	2	ӽ̃	ӽ̃	PROPN
iajs-2702	144	3	–	–	PUNCT
iajs-2702	144	4	ȴ𝓜	ȴ𝓜	NOUN
iajs-2702	144	5	)	)	PUNCT
iajs-2702	144	6	≠	≠	PROPN
iajs-2702	144	7	{	{	PUNCT
iajs-2702	144	8	∅	∅	NOUN
iajs-2702	144	9	}	}	PUNCT
iajs-2702	144	10	.	.	PUNCT
iajs-2702	145	1	so	so	ADV
iajs-2702	145	2	,	,	PUNCT
iajs-2702	145	3	(	(	PUNCT
iajs-2702	145	4	ӽ	ӽ	X
iajs-2702	145	5	,	,	PUNCT
iajs-2702	145	6	ʈ	ʈ	X
iajs-2702	145	7	,	,	PUNCT
iajs-2702	145	8	ɖ	ɖ	NOUN
iajs-2702	145	9	,	,	PUNCT
iajs-2702	145	10	ᶅ	ᶅ	NOUN
iajs-2702	145	11	)	)	PUNCT
iajs-2702	145	12	is	be	AUX
iajs-2702	145	13	not	not	PART
iajs-2702	145	14	𝑠ᶅ𝑝𝑔-ʈ2-𝑠𝑝𝑎𝑐𝑒.	𝑠ᶅ𝑝𝑔-ʈ2-𝑠𝑝𝑎𝑐𝑒.	NOUN
iajs-2702	145	15	we	we	PRON
iajs-2702	145	16	have	have	VERB
iajs-2702	145	17	𝑝𝑟𝑒𝑣𝑖𝑜𝑢𝑠𝑙𝑦	𝑝𝑟𝑒𝑣𝑖𝑜𝑢𝑠𝑙𝑦	ADJ
iajs-2702	145	18	𝑛𝑜𝑡𝑒𝑑	𝑛𝑜𝑡𝑒𝑑	NOUN
iajs-2702	145	19	that	that	SCONJ
iajs-2702	145	20	ӽ	ӽ	PRON
iajs-2702	145	21	is	be	AUX
iajs-2702	145	22	a	a	DET
iajs-2702	145	23	𝑠ᶅ𝑝𝑔ʈi-𝑠𝑝𝑎𝑐𝑒	𝑠ᶅ𝑝𝑔ʈi-𝑠𝑝𝑎𝑐𝑒	NOUN
iajs-2702	145	24	whenever	whenever	SCONJ
iajs-2702	145	25	,	,	PUNCT
iajs-2702	145	26	it	it	PRON
iajs-2702	145	27	is	be	AUX
iajs-2702	145	28	a	a	DET
iajs-2702	145	29	ʈi+1-𝑠𝑝𝑎𝑐𝑒	ʈi+1-𝑠𝑝𝑎𝑐𝑒	NOUN
iajs-2702	145	30	(	(	PUNCT
iajs-2702	145	31	∀	∀	NOUN
iajs-2702	145	32	𝑖	𝑖	NOUN
iajs-2702	145	33	=	=	NOUN
iajs-2702	145	34	0	0	NUM
iajs-2702	145	35	,	,	PUNCT
iajs-2702	145	36	1	1	NUM
iajs-2702	145	37	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
iajs-2702	145	38	2	2	NUM
iajs-2702	145	39	)	)	PUNCT
iajs-2702	145	40	.	.	PUNCT
iajs-2702	146	1	the	the	DET
iajs-2702	146	2	opposite	opposite	NOUN
iajs-2702	146	3	is	be	AUX
iajs-2702	146	4	not	not	PART
iajs-2702	146	5	necessarily	necessarily	ADV
iajs-2702	146	6	true	true	ADJ
iajs-2702	146	7	by	by	ADP
iajs-2702	146	8	the	the	DET
iajs-2702	146	9	following	follow	VERB
iajs-2702	146	10	example	example	NOUN
iajs-2702	146	11	:	:	PUNCT
iajs-2702	146	12	example	example	NOUN
iajs-2702	146	13	4.13	4.13	NUM
iajs-2702	146	14	.	.	PUNCT
iajs-2702	147	1	(	(	PUNCT
iajs-2702	147	2	ӽ	ӽ	NOUN
iajs-2702	147	3	,	,	PUNCT
iajs-2702	147	4	ʈ	ʈ	X
iajs-2702	147	5	,	,	PUNCT
iajs-2702	147	6	ɖ	ɖ	NOUN
iajs-2702	147	7	,	,	PUNCT
iajs-2702	147	8	ᶅ	ᶅ	NOUN
iajs-2702	147	9	)	)	PUNCT
iajs-2702	147	10	𝑖𝑠	𝑖𝑠	NOUN
iajs-2702	148	1	𝑎	𝑎	DET
iajs-2702	148	2	𝑠ᶅ𝑝𝑔-ʈi	𝑠ᶅ𝑝𝑔-ʈi	NOUN
iajs-2702	148	3	-𝑠𝑝𝑎𝑐𝑒	-𝑠𝑝𝑎𝑐𝑒	NOUN
iajs-2702	148	4	(	(	PUNCT
iajs-2702	148	5	𝑖	𝑖	SYM
iajs-2702	148	6	∈	∈	PROPN
iajs-2702	148	7	{	{	PUNCT
iajs-2702	148	8	0,1,2	0,1,2	NOUN
iajs-2702	148	9	}	}	PUNCT
iajs-2702	148	10	)	)	PUNCT
iajs-2702	148	11	,	,	PUNCT
iajs-2702	148	12	where	where	SCONJ
iajs-2702	148	13	,	,	PUNCT
iajs-2702	148	14	ӽ=	ӽ=	PROPN
iajs-2702	148	15	{	{	PUNCT
iajs-2702	148	16	ᶒ	ᶒ	PROPN
iajs-2702	148	17	,	,	PUNCT
iajs-2702	148	18	ᶆ	ᶆ	PROPN
iajs-2702	148	19	,	,	PUNCT
iajs-2702	148	20	ᶉ	ᶉ	NOUN
iajs-2702	148	21	}	}	PUNCT
iajs-2702	148	22	,	,	PUNCT
iajs-2702	148	23	ʈ=	ʈ=	NOUN
iajs-2702	148	24	{	{	PUNCT
iajs-2702	148	25	∅̃	∅̃	NOUN
iajs-2702	148	26	,	,	PUNCT
iajs-2702	148	27	�	�	PROPN
iajs-2702	148	28	̃	̃	PROPN
iajs-2702	148	29	�	�	PROPN
iajs-2702	148	30	}	}	PUNCT
iajs-2702	148	31	and	and	CCONJ
iajs-2702	148	32	ᶅ=	ᶅ=	NOUN
iajs-2702	148	33	şş(ӽ)ɖ	şş(ӽ)ɖ	PROPN
iajs-2702	148	34	so	so	ADV
iajs-2702	148	35	,	,	PUNCT
iajs-2702	148	36	𝑠ᶅ𝑝𝑔-𝐶(ӽ	𝑠ᶅ𝑝𝑔-𝐶(ӽ	ADJ
iajs-2702	148	37	)	)	PUNCT
iajs-2702	148	38	=	=	SYM
iajs-2702	148	39	𝑠ᶅ𝑝𝑔-𝑂(ӽ	𝑠ᶅ𝑝𝑔-𝑂(ӽ	PROPN
iajs-2702	148	40	)	)	PUNCT
iajs-2702	148	41	=	=	PUNCT
iajs-2702	148	42	şş(ӽ)ɖ	şş(ӽ)ɖ	PROPN
iajs-2702	148	43	.	.	NOUN
iajs-2702	149	1	but	but	CCONJ
iajs-2702	149	2	the	the	DET
iajs-2702	149	3	space	space	NOUN
iajs-2702	149	4	(	(	PUNCT
iajs-2702	149	5	ӽ	ӽ	NOUN
iajs-2702	149	6	,	,	PUNCT
iajs-2702	149	7	ʈ	ʈ	X
iajs-2702	149	8	,	,	PUNCT
iajs-2702	149	9	ɖ	ɖ	X
iajs-2702	149	10	)	)	PUNCT
iajs-2702	149	11	𝑖𝑠	𝑖𝑠	NOUN
iajs-2702	149	12	𝑛𝑜𝑡	𝑛𝑜𝑡	PROPN
iajs-2702	149	13	𝑠𝑜𝑓𝑡ʈi-𝑠𝑝𝑎𝑐𝑒	𝑠𝑜𝑓𝑡ʈi-𝑠𝑝𝑎𝑐𝑒	ADV
iajs-2702	149	14	(	(	PUNCT
iajs-2702	149	15	i	i	PRON
iajs-2702	149	16	∈	∈	PROPN
iajs-2702	149	17	{	{	PUNCT
iajs-2702	149	18	0,1,2	0,1,2	NOUN
iajs-2702	149	19	}	}	PUNCT
iajs-2702	149	20	)	)	PUNCT
iajs-2702	149	21	.	.	PUNCT
iajs-2702	150	1	the	the	DET
iajs-2702	150	2	following	follow	VERB
iajs-2702	150	3	chart	chart	NOUN
iajs-2702	150	4	shows	show	VERB
iajs-2702	150	5	the	the	DET
iajs-2702	150	6	relationships	relationship	NOUN
iajs-2702	150	7	among	among	ADP
iajs-2702	150	8	the	the	DET
iajs-2702	150	9	various	various	ADJ
iajs-2702	150	10	types	type	NOUN
iajs-2702	150	11	of	of	ADP
iajs-2702	150	12	notions	notion	NOUN
iajs-2702	150	13	of	of	ADP
iajs-2702	150	14	our	our	PRON
iajs-2702	150	15	previously	previously	ADV
iajs-2702	150	16	mentioning	mention	VERB
iajs-2702	150	17	figure	figure	NOUN
iajs-2702	150	18	1	1	NUM
iajs-2702	150	19	.	.	PUNCT
iajs-2702	150	20	separation	separation	NOUN
iajs-2702	150	21	axioms	axiom	NOUN
iajs-2702	150	22	with	with	ADP
iajs-2702	150	23	soft	soft	ADJ
iajs-2702	150	24	-	-	PUNCT
iajs-2702	150	25	ᶅpre	ᶅpre	NOUN
iajs-2702	150	26	-	-	PUNCT
iajs-2702	150	27	g	g	ADP
iajs-2702	150	28	-	-	PUNCT
iajs-2702	150	29	open	open	ADJ
iajs-2702	150	30	sets	set	NOUN
iajs-2702	150	31	(	(	PUNCT
iajs-2702	150	32	ӽ	ӽ	NOUN
iajs-2702	150	33	,	,	PUNCT
iajs-2702	150	34	ʈ	ʈ	X
iajs-2702	150	35	,	,	PUNCT
iajs-2702	150	36	ɖ	ɖ	X
iajs-2702	150	37	)	)	PUNCT
iajs-2702	150	38	is	be	AUX
iajs-2702	150	39	𝑎𝑠𝑝𝑎𝑐𝑒	𝑎𝑠𝑝𝑎𝑐𝑒	ADV
iajs-2702	150	40	-2ʈ-𝑠𝑜𝑓𝑡	-2ʈ-𝑠𝑜𝑓𝑡	X
iajs-2702	150	41	(	(	PUNCT
iajs-2702	150	42	ӽ	ӽ	NOUN
iajs-2702	150	43	,	,	PUNCT
iajs-2702	150	44	ʈ	ʈ	X
iajs-2702	150	45	,	,	PUNCT
iajs-2702	150	46	ɖ	ɖ	X
iajs-2702	150	47	)	)	PUNCT
iajs-2702	150	48	is	be	AUX
iajs-2702	150	49	𝑎	𝑎	PROPN
iajs-2702	150	50	𝑠𝑝𝑎𝑐𝑒-0ʈ-𝑠𝑜𝑓𝑡	𝑠𝑝𝑎𝑐𝑒-0ʈ-𝑠𝑜𝑓𝑡	PROPN
iajs-2702	150	51	(	(	PUNCT
iajs-2702	150	52	ӽ	ӽ	NOUN
iajs-2702	150	53	,	,	PUNCT
iajs-2702	150	54	ʈ	ʈ	X
iajs-2702	150	55	,	,	PUNCT
iajs-2702	150	56	ɖ)is	ɖ)is	PROPN
iajs-2702	150	57	𝑎	𝑎	PRON
iajs-2702	150	58	𝑠𝑝𝑎𝑐𝑒-1ʈ-𝑠𝑜𝑓𝑡	𝑠𝑝𝑎𝑐𝑒-1ʈ-𝑠𝑜𝑓𝑡	PROPN
iajs-2702	150	59	(	(	PUNCT
iajs-2702	150	60	ӽ	ӽ	NOUN
iajs-2702	150	61	,	,	PUNCT
iajs-2702	150	62	ʈ	ʈ	X
iajs-2702	150	63	,	,	PUNCT
iajs-2702	150	64	ɖ	ɖ	NOUN
iajs-2702	150	65	,	,	PUNCT
iajs-2702	150	66	ᶅ	ᶅ	NOUN
iajs-2702	150	67	)	)	PUNCT
iajs-2702	150	68	is	be	AUX
iajs-2702	150	69	𝑎	𝑎	PRON
iajs-2702	150	70	𝑠ᶅ𝑝𝑔	𝑠ᶅ𝑝𝑔	NOUN
iajs-2702	150	71	𝑠𝑝𝑎𝑐𝑒	𝑠𝑝𝑎𝑐𝑒	ADV
iajs-2702	150	72	-2ʈ	-2ʈ	PROPN
iajs-2702	150	73	(	(	PUNCT
iajs-2702	150	74	ӽ	ӽ	X
iajs-2702	150	75	,	,	PUNCT
iajs-2702	150	76	ʈ	ʈ	X
iajs-2702	150	77	,	,	PUNCT
iajs-2702	150	78	ɖ	ɖ	NOUN
iajs-2702	150	79	,	,	PUNCT
iajs-2702	150	80	ᶅ)is	ᶅ)is	PROPN
iajs-2702	150	81	𝑎	𝑎	NUM
iajs-2702	150	82	𝑠ᶅ𝑝𝑔	𝑠ᶅ𝑝𝑔	NOUN
iajs-2702	151	1	𝑠𝑝𝑎𝑐𝑒-1ʈ	𝑠𝑝𝑎𝑐𝑒-1ʈ	PROPN
iajs-2702	151	2	(	(	PUNCT
iajs-2702	151	3	ӽ	ӽ	X
iajs-2702	151	4	,	,	PUNCT
iajs-2702	151	5	ʈ	ʈ	X
iajs-2702	151	6	,	,	PUNCT
iajs-2702	151	7	ɖ	ɖ	NOUN
iajs-2702	151	8	,	,	PUNCT
iajs-2702	151	9	ᶅ)is	ᶅ)is	PROPN
iajs-2702	151	10	𝑎	𝑎	NUM
iajs-2702	151	11	𝑠ᶅ𝑝𝑔	𝑠ᶅ𝑝𝑔	NOUN
iajs-2702	151	12	𝑠𝑝𝑎𝑐𝑒-0ʈ	𝑠𝑝𝑎𝑐𝑒-0ʈ	PROPN
iajs-2702	151	13	ibn	ibn	PROPN
iajs-2702	151	14	al	al	PROPN
iajs-2702	151	15	-	-	PUNCT
iajs-2702	151	16	haitham	haitham	PROPN
iajs-2702	151	17	jour	jour	X
iajs-2702	151	18	.	.	PROPN
iajs-2702	152	1	for	for	ADP
iajs-2702	152	2	pure	pure	ADJ
iajs-2702	152	3	&	&	CCONJ
iajs-2702	152	4	appl	appl	PROPN
iajs-2702	152	5	.	.	PUNCT
iajs-2702	153	1	sci	sci	PROPN
iajs-2702	153	2	.	.	PROPN
iajs-2702	154	1	34(4)2021	34(4)2021	NUM
iajs-2702	154	2	51	51	NUM
iajs-2702	154	3	5	5	NUM
iajs-2702	154	4	.	.	PUNCT
iajs-2702	154	5	games	game	NOUN
iajs-2702	154	6	in	in	ADP
iajs-2702	154	7	soft	soft	ADJ
iajs-2702	154	8	-ᶅ	-ᶅ	VERB
iajs-2702	154	9	-	-	PUNCT
iajs-2702	154	10	pre	pre	ADJ
iajs-2702	154	11	-	-	ADJ
iajs-2702	154	12	generalized	generalized	ADJ
iajs-2702	154	13	open	open	ADJ
iajs-2702	154	14	sets	set	NOUN
iajs-2702	154	15	topological	topological	ADJ
iajs-2702	154	16	spaces	space	NOUN
iajs-2702	154	17	in	in	ADP
iajs-2702	154	18	this	this	DET
iajs-2702	154	19	section	section	NOUN
iajs-2702	154	20	,	,	PUNCT
iajs-2702	154	21	a	a	DET
iajs-2702	154	22	new	new	ADJ
iajs-2702	154	23	game	game	NOUN
iajs-2702	154	24	that	that	PRON
iajs-2702	154	25	connects	connect	VERB
iajs-2702	154	26	them	they	PRON
iajs-2702	154	27	with	with	ADP
iajs-2702	154	28	soft	soft	ADJ
iajs-2702	154	29	separation	separation	NOUN
iajs-2702	154	30	axioms	axiom	NOUN
iajs-2702	154	31	through	through	ADP
iajs-2702	154	32	𝑠ᶅ𝑝𝑔	𝑠ᶅ𝑝𝑔	NOUN
iajs-2702	154	33	open	open	ADJ
iajs-2702	154	34	sets	set	NOUN
iajs-2702	154	35	is	be	AUX
iajs-2702	154	36	inserted	insert	VERB
iajs-2702	154	37	.	.	PUNCT
iajs-2702	155	1	definition	definition	NOUN
iajs-2702	155	2	5.1	5.1	NUM
iajs-2702	155	3	.	.	PUNCT
iajs-2702	156	1	in	in	ADP
iajs-2702	156	2	the	the	DET
iajs-2702	156	3	space	space	NOUN
iajs-2702	156	4	(	(	PUNCT
iajs-2702	156	5	ӽ	ӽ	NOUN
iajs-2702	156	6	,	,	PUNCT
iajs-2702	156	7	ʈ	ʈ	X
iajs-2702	156	8	,	,	PUNCT
iajs-2702	156	9	ɖ	ɖ	NOUN
iajs-2702	156	10	,	,	PUNCT
iajs-2702	156	11	ᶅ	ᶅ	NOUN
iajs-2702	156	12	)	)	PUNCT
iajs-2702	156	13	,	,	PUNCT
iajs-2702	156	14	define	define	VERB
iajs-2702	156	15	a	a	DET
iajs-2702	156	16	game	game	NOUN
iajs-2702	156	17	şᶃ(ʈ0	şᶃ(ʈ0	NOUN
iajs-2702	156	18	,	,	PUNCT
iajs-2702	156	19	ӽ	ӽ	X
iajs-2702	156	20	,	,	PUNCT
iajs-2702	156	21	ᶅ	ᶅ	NOUN
iajs-2702	156	22	)	)	PUNCT
iajs-2702	156	23	as	as	SCONJ
iajs-2702	156	24	follows	follow	VERB
iajs-2702	156	25	:	:	PUNCT
iajs-2702	156	26	pⅰ	pⅰ	NOUN
iajs-2702	156	27	and	and	CCONJ
iajs-2702	156	28	pⅱ	pⅱ	NOUN
iajs-2702	156	29	are	be	AUX
iajs-2702	156	30	play	play	VERB
iajs-2702	156	31	an	an	DET
iajs-2702	156	32	inning	inning	NOUN
iajs-2702	156	33	for	for	SCONJ
iajs-2702	156	34	every	every	DET
iajs-2702	156	35	natural	natural	ADJ
iajs-2702	156	36	number	number	NOUN
iajs-2702	156	37	in	in	ADP
iajs-2702	156	38	the	the	DET
iajs-2702	156	39	𝑧-𝑡ℎ	𝑧-𝑡ℎ	NOUN
iajs-2702	156	40	inning	inne	VERB
iajs-2702	156	41	:	:	PUNCT
iajs-2702	156	42	the	the	DET
iajs-2702	156	43	first	first	ADJ
iajs-2702	156	44	step	step	NOUN
iajs-2702	156	45	,	,	PUNCT
iajs-2702	156	46	pⅰ	pⅰ	PROPN
iajs-2702	156	47	choose	choose	VERB
iajs-2702	156	48	(	(	PUNCT
iajs-2702	156	49	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	156	50	≠	≠	PROPN
iajs-2702	156	51	(	(	PUNCT
iajs-2702	156	52	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	156	53	whenever	whenever	SCONJ
iajs-2702	156	54	,	,	PUNCT
iajs-2702	156	55	(	(	PUNCT
iajs-2702	156	56	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	156	57	,	,	PUNCT
iajs-2702	156	58	(	(	PUNCT
iajs-2702	156	59	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	156	60	∈̃	∈̃	PROPN
iajs-2702	156	61	ӽ̃	ӽ̃	PROPN
iajs-2702	156	62	.	.	PUNCT
iajs-2702	157	1	in	in	ADP
iajs-2702	157	2	the	the	DET
iajs-2702	157	3	second	second	ADJ
iajs-2702	157	4	step	step	NOUN
iajs-2702	157	5	,	,	PUNCT
iajs-2702	157	6	pⅱ	pⅱ	NOUN
iajs-2702	157	7	chooses(ƀ	chooses(ƀ	NOUN
iajs-2702	157	8	𝑧,ɖ	𝑧,ɖ	NOUN
iajs-2702	157	9	)	)	PUNCT
iajs-2702	157	10	is	be	AUX
iajs-2702	157	11	a	a	DET
iajs-2702	157	12	𝑠ᶅ𝑝𝑔-𝑂	𝑠ᶅ𝑝𝑔-𝑂	ADJ
iajs-2702	157	13	set	set	NOUN
iajs-2702	157	14	s.t	s.t	PROPN
iajs-2702	157	15	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	157	16	∈̃	∈̃	VERB
iajs-2702	157	17	ƀ	ƀ	X
iajs-2702	157	18	𝑧	𝑧	PROPN
iajs-2702	157	19	∧	∧	PROPN
iajs-2702	157	20	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	157	21	∉̃	∉̃	NOUN
iajs-2702	157	22	ƀ	ƀ	PROPN
iajs-2702	157	23	𝑧	𝑧	PROPN
iajs-2702	157	24	or	or	CCONJ
iajs-2702	157	25	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	157	26	∉̃	∉̃	NOUN
iajs-2702	157	27	ƀ	ƀ	X
iajs-2702	157	28	𝑧	𝑧	PROPN
iajs-2702	157	29	∧	∧	PROPN
iajs-2702	157	30	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	157	31	∈̃	∈̃	PROPN
iajs-2702	157	32	ƀ	ƀ	X
iajs-2702	157	33	𝑧.then	𝑧.then	ADV
iajs-2702	157	34	pⅱ	pⅱ	NOUN
iajs-2702	157	35	wins	win	VERB
iajs-2702	157	36	in	in	ADP
iajs-2702	157	37	the	the	DET
iajs-2702	157	38	game	game	NOUN
iajs-2702	157	39	şᶃ(ʈ0	şᶃ(ʈ0	NOUN
iajs-2702	157	40	,	,	PUNCT
iajs-2702	157	41	ӽ	ӽ	X
iajs-2702	157	42	,	,	PUNCT
iajs-2702	157	43	ᶅ	ᶅ	PROPN
iajs-2702	157	44	)	)	PUNCT
iajs-2702	157	45	if	if	SCONJ
iajs-2702	157	46	ƀ	ƀ	PRON
iajs-2702	157	47	=	=	X
iajs-2702	157	48	{	{	PUNCT
iajs-2702	157	49	(	(	PUNCT
iajs-2702	157	50	ƀ	ƀ	NOUN
iajs-2702	157	51	1	1	NUM
iajs-2702	157	52	,	,	PUNCT
iajs-2702	157	53	ɖ	ɖ	NOUN
iajs-2702	157	54	)	)	PUNCT
iajs-2702	157	55	,	,	PUNCT
iajs-2702	157	56	(	(	PUNCT
iajs-2702	157	57	ƀ	ƀ	NOUN
iajs-2702	157	58	2	2	NUM
iajs-2702	157	59	,	,	PUNCT
iajs-2702	157	60	ɖ	ɖ	NOUN
iajs-2702	157	61	)	)	PUNCT
iajs-2702	157	62	,	,	PUNCT
iajs-2702	157	63	…	…	PUNCT
iajs-2702	157	64	(	(	PUNCT
iajs-2702	157	65	ƀ	ƀ	X
iajs-2702	157	66	𝑧,ɖ	𝑧,ɖ	NOUN
iajs-2702	157	67	)	)	PUNCT
iajs-2702	157	68	…	…	PUNCT
iajs-2702	157	69	..	..	PUNCT
iajs-2702	157	70	}	}	PUNCT
iajs-2702	157	71	is	be	AUX
iajs-2702	157	72	a	a	DET
iajs-2702	157	73	collection	collection	NOUN
iajs-2702	157	74	of	of	ADP
iajs-2702	157	75	a	a	DET
iajs-2702	157	76	soft	soft	ADJ
iajs-2702	157	77	-	-	PUNCT
iajs-2702	157	78	ᶅ𝑝𝑟𝑒	ᶅ𝑝𝑟𝑒	NOUN
iajs-2702	157	79	open	open	NOUN
iajs-2702	157	80	set	set	VERB
iajs-2702	157	81	in	in	ADP
iajs-2702	157	82	ӽsuch	ӽsuch	ADJ
iajs-2702	157	83	that	that	DET
iajs-2702	157	84	∀	∀	NOUN
iajs-2702	158	1	(	(	PUNCT
iajs-2702	158	2	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	158	3	,	,	PUNCT
iajs-2702	158	4	(	(	PUNCT
iajs-2702	158	5	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	158	6	∈̃	∈̃	PROPN
iajs-2702	158	7	ӽ	ӽ	PROPN
iajs-2702	158	8	,	,	PUNCT
iajs-2702	158	9	∃	∃	PROPN
iajs-2702	158	10	(	(	PUNCT
iajs-2702	158	11	ƀ	ƀ	NOUN
iajs-2702	158	12	𝑧,ɖ	𝑧,ɖ	NOUN
iajs-2702	158	13	)	)	PUNCT
iajs-2702	158	14	∈	∈	PROPN
iajs-2702	158	15	ƀ	ƀ	X
iajs-2702	158	16	s.t	s.t	PROPN
iajs-2702	158	17	(	(	PUNCT
iajs-2702	158	18	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	158	19	∈̃	∈̃	PROPN
iajs-2702	158	20	(	(	PUNCT
iajs-2702	158	21	ƀ	ƀ	NOUN
iajs-2702	158	22	𝑧,ɖ	𝑧,ɖ	NOUN
iajs-2702	158	23	)	)	PUNCT
iajs-2702	158	24	,	,	PUNCT
iajs-2702	158	25	(	(	PUNCT
iajs-2702	158	26	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	158	27	∉̃	∉̃	NOUN
iajs-2702	158	28	(	(	PUNCT
iajs-2702	158	29	ƀ	ƀ	NOUN
iajs-2702	158	30	𝑧,ɖ	𝑧,ɖ	NOUN
iajs-2702	158	31	)	)	PUNCT
iajs-2702	158	32	or	or	CCONJ
iajs-2702	158	33	(	(	PUNCT
iajs-2702	158	34	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	158	35	∉̃	∉̃	NOUN
iajs-2702	158	36	(	(	PUNCT
iajs-2702	158	37	ƀ	ƀ	NOUN
iajs-2702	158	38	𝑧,ɖ	𝑧,ɖ	NOUN
iajs-2702	158	39	)	)	PUNCT
iajs-2702	158	40	,	,	PUNCT
iajs-2702	158	41	(	(	PUNCT
iajs-2702	158	42	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	158	43	∈̃	∈̃	PROPN
iajs-2702	158	44	(	(	PUNCT
iajs-2702	158	45	ƀ	ƀ	X
iajs-2702	158	46	𝑧,ɖ	𝑧,ɖ	NOUN
iajs-2702	158	47	)	)	PUNCT
iajs-2702	158	48	.	.	PUNCT
iajs-2702	159	1	otherwise	otherwise	ADV
iajs-2702	159	2	,	,	PUNCT
iajs-2702	159	3	pⅰ	pⅰ	NOUN
iajs-2702	159	4	wins	win	NOUN
iajs-2702	159	5	.	.	PUNCT
iajs-2702	160	1	example	example	NOUN
iajs-2702	161	1	5.2	5.2	NUM
iajs-2702	161	2	.	.	PUNCT
iajs-2702	162	1	let	let	VERB
iajs-2702	162	2	ӽ=	ӽ=	PROPN
iajs-2702	162	3	{	{	PUNCT
iajs-2702	162	4	ᶒ	ᶒ	PROPN
iajs-2702	162	5	,	,	PUNCT
iajs-2702	162	6	ᶆ	ᶆ	PROPN
iajs-2702	162	7	,	,	PUNCT
iajs-2702	162	8	ᶉ	ᶉ	NOUN
iajs-2702	162	9	}	}	PUNCT
iajs-2702	162	10	,	,	PUNCT
iajs-2702	162	11	let	let	VERB
iajs-2702	162	12	şᶃ(ʈ0	şᶃ(ʈ0	PROPN
iajs-2702	162	13	,	,	PUNCT
iajs-2702	162	14	ӽ	ӽ	X
iajs-2702	162	15	,	,	PUNCT
iajs-2702	162	16	ᶅ	ᶅ	X
iajs-2702	162	17	)	)	PUNCT
iajs-2702	162	18	be	be	AUX
iajs-2702	162	19	a	a	DET
iajs-2702	162	20	soft	soft	ADJ
iajs-2702	162	21	game	game	NOUN
iajs-2702	162	22	and	and	CCONJ
iajs-2702	162	23	ɖ=	ɖ=	NOUN
iajs-2702	162	24	{	{	PUNCT
iajs-2702	162	25	ᶁ1	ᶁ1	NOUN
iajs-2702	162	26	,	,	PUNCT
iajs-2702	162	27	ᶁ2	ᶁ2	PROPN
iajs-2702	162	28	}	}	PUNCT
iajs-2702	162	29	,	,	PUNCT
iajs-2702	162	30	ʈ=	ʈ=	NOUN
iajs-2702	162	31	{	{	PUNCT
iajs-2702	162	32	ӽ̃	ӽ̃	PROPN
iajs-2702	162	33	,	,	PUNCT
iajs-2702	162	34	∅̃	∅̃	NOUN
iajs-2702	162	35	,	,	PUNCT
iajs-2702	162	36	(	(	PUNCT
iajs-2702	162	37	ƌ	ƌ	PROPN
iajs-2702	162	38	,	,	PUNCT
iajs-2702	162	39	ɖ	ɖ	NOUN
iajs-2702	162	40	)	)	PUNCT
iajs-2702	162	41	,	,	PUNCT
iajs-2702	162	42	(	(	PUNCT
iajs-2702	162	43	𝒵	𝒵	PROPN
iajs-2702	162	44	,	,	PUNCT
iajs-2702	162	45	ɖ	ɖ	NOUN
iajs-2702	162	46	)	)	PUNCT
iajs-2702	162	47	}	}	PUNCT
iajs-2702	163	1	where	where	SCONJ
iajs-2702	163	2	,	,	PUNCT
iajs-2702	163	3	(	(	PUNCT
iajs-2702	163	4	(	(	PUNCT
iajs-2702	163	5	ƌ	ƌ	PROPN
iajs-2702	163	6	,	,	PUNCT
iajs-2702	163	7	ɖ	ɖ	X
iajs-2702	163	8	)	)	PUNCT
iajs-2702	163	9	=	=	SYM
iajs-2702	163	10	{	{	PUNCT
iajs-2702	163	11	(	(	PUNCT
iajs-2702	163	12	ᶁ1,{ᶒ	ᶁ1,{ᶒ	PROPN
iajs-2702	163	13	}	}	PUNCT
iajs-2702	163	14	)	)	PUNCT
iajs-2702	163	15	,	,	PUNCT
iajs-2702	163	16	(	(	PUNCT
iajs-2702	163	17	ᶁ2	ᶁ2	INTJ
iajs-2702	163	18	,	,	PUNCT
iajs-2702	163	19	{	{	PUNCT
iajs-2702	163	20	ᶒ	ᶒ	PROPN
iajs-2702	163	21	}	}	PUNCT
iajs-2702	163	22	)	)	PUNCT
iajs-2702	163	23	}	}	PUNCT
iajs-2702	163	24	,	,	PUNCT
iajs-2702	163	25	(	(	PUNCT
iajs-2702	163	26	𝒵	𝒵	PROPN
iajs-2702	163	27	,	,	PUNCT
iajs-2702	163	28	ɖ	ɖ	X
iajs-2702	163	29	)	)	PUNCT
iajs-2702	163	30	=	=	SYM
iajs-2702	163	31	{	{	PUNCT
iajs-2702	163	32	(	(	PUNCT
iajs-2702	163	33	ᶁ1,{ᶒ	ᶁ1,{ᶒ	PROPN
iajs-2702	163	34	,	,	PUNCT
iajs-2702	163	35	ᶆ	ᶆ	X
iajs-2702	163	36	}	}	PUNCT
iajs-2702	163	37	)	)	PUNCT
iajs-2702	163	38	,	,	PUNCT
iajs-2702	163	39	(	(	PUNCT
iajs-2702	163	40	ᶁ2	ᶁ2	INTJ
iajs-2702	163	41	,	,	PUNCT
iajs-2702	163	42	{	{	PUNCT
iajs-2702	163	43	ᶒ	ᶒ	PROPN
iajs-2702	163	44	,	,	PUNCT
iajs-2702	163	45	ᶆ	ᶆ	PROPN
iajs-2702	163	46	}	}	PUNCT
iajs-2702	163	47	)	)	PUNCT
iajs-2702	163	48	}	}	PUNCT
iajs-2702	163	49	and	and	CCONJ
iajs-2702	163	50	ᶅ=	ᶅ=	NOUN
iajs-2702	163	51	{	{	PUNCT
iajs-2702	163	52	∅̃	∅̃	NOUN
iajs-2702	163	53	}	}	PUNCT
iajs-2702	163	54	.	.	PUNCT
iajs-2702	164	1	then	then	ADV
iajs-2702	164	2	,	,	PUNCT
iajs-2702	164	3	ş𝑝𝑂(ӽ)=	ş𝑝𝑂(ӽ)=	ADJ
iajs-2702	164	4	{	{	PUNCT
iajs-2702	164	5	(	(	PUNCT
iajs-2702	164	6	f	f	X
iajs-2702	164	7	,	,	PUNCT
iajs-2702	164	8	ɖ	ɖ	X
iajs-2702	164	9	)	)	PUNCT
iajs-2702	164	10	;	;	PUNCT
iajs-2702	164	11	ᶒ	ᶒ	X
iajs-2702	164	12	∈	∈	NOUN
iajs-2702	164	13	(	(	PUNCT
iajs-2702	164	14	f	f	NOUN
iajs-2702	164	15	,	,	PUNCT
iajs-2702	164	16	ɖ	ɖ	X
iajs-2702	164	17	)	)	PUNCT
iajs-2702	164	18	for	for	ADP
iajs-2702	164	19	some	some	DET
iajs-2702	164	20	ᶁ	ᶁ	PRON
iajs-2702	164	21	∈	∈	NOUN
iajs-2702	164	22	ɖ	ɖ	NOUN
iajs-2702	164	23	}	}	PUNCT
iajs-2702	164	24	.	.	PUNCT
iajs-2702	165	1	so	so	ADV
iajs-2702	165	2	,	,	PUNCT
iajs-2702	165	3	𝑠ᶅ𝑝𝑔𝐶(ӽ	𝑠ᶅ𝑝𝑔𝐶(ӽ	PROPN
iajs-2702	165	4	)	)	PUNCT
iajs-2702	166	1	=	=	PRON
iajs-2702	166	2	{	{	PUNCT
iajs-2702	166	3	∅̃	∅̃	NOUN
iajs-2702	166	4	,	,	PUNCT
iajs-2702	166	5	ӽ	ӽ	X
iajs-2702	166	6	̃,(ƌ′	̃,(ƌ′	PROPN
iajs-2702	166	7	,	,	PUNCT
iajs-2702	166	8	ɖ	ɖ	X
iajs-2702	166	9	)	)	PUNCT
iajs-2702	166	10	,	,	PUNCT
iajs-2702	166	11	(	(	PUNCT
iajs-2702	166	12	𝒵′	𝒵′	NOUN
iajs-2702	166	13	,	,	PUNCT
iajs-2702	166	14	ɖ	ɖ	NOUN
iajs-2702	166	15	)	)	PUNCT
iajs-2702	166	16	}	}	PUNCT
iajs-2702	166	17	and	and	CCONJ
iajs-2702	166	18	𝑠ᶅ𝑝𝑔-𝑂(ӽ	𝑠ᶅ𝑝𝑔-𝑂(ӽ	NOUN
iajs-2702	166	19	)	)	PUNCT
iajs-2702	166	20	=	=	SYM
iajs-2702	167	1	ʈ	ʈ	X
iajs-2702	167	2	.	.	PUNCT
iajs-2702	168	1	then	then	ADV
iajs-2702	168	2	in	in	ADP
iajs-2702	168	3	the	the	DET
iajs-2702	168	4	first	first	ADJ
iajs-2702	168	5	inning	inning	NOUN
iajs-2702	168	6	:	:	PUNCT
iajs-2702	168	7	the	the	DET
iajs-2702	168	8	first	first	ADJ
iajs-2702	168	9	step	step	NOUN
iajs-2702	168	10	,	,	PUNCT
iajs-2702	168	11	pⅰ	pⅰ	PROPN
iajs-2702	168	12	chooses	choose	VERB
iajs-2702	168	13	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	168	14	≠	≠	PROPN
iajs-2702	168	15	ᶁ𝒩	ᶁ𝒩	PROPN
iajs-2702	169	1	whenever	whenever	ADV
iajs-2702	169	2	,	,	PUNCT
iajs-2702	169	3	ᶁ	ᶁ	INTJ
iajs-2702	169	4	,	,	PUNCT
iajs-2702	169	5	ᶁ𝒩	ᶁ𝒩	PROPN
iajs-2702	169	6	∈̃	∈̃	PROPN
iajs-2702	169	7	ӽ̃	ӽ̃	PROPN
iajs-2702	169	8	s.t	s.t	PROPN
iajs-2702	169	9	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	169	10	=	=	PRON
iajs-2702	169	11	{	{	PUNCT
iajs-2702	169	12	ᶒ	ᶒ	PROPN
iajs-2702	169	13	}	}	PUNCT
iajs-2702	169	14	and	and	CCONJ
iajs-2702	169	15	ᶁ𝒩	ᶁ𝒩	PROPN
iajs-2702	169	16	=	=	SYM
iajs-2702	169	17	{	{	PUNCT
iajs-2702	169	18	ᶆ	ᶆ	X
iajs-2702	169	19	}	}	PUNCT
iajs-2702	169	20	.	.	PUNCT
iajs-2702	170	1	in	in	ADP
iajs-2702	170	2	the	the	DET
iajs-2702	170	3	second	second	ADJ
iajs-2702	170	4	step	step	NOUN
iajs-2702	170	5	,	,	PUNCT
iajs-2702	170	6	p	p	NOUN
iajs-2702	170	7	ⅱ	ⅱ	PROPN
iajs-2702	170	8	chooses	choose	VERB
iajs-2702	170	9	(	(	PUNCT
iajs-2702	170	10	ƌ	ƌ	PROPN
iajs-2702	170	11	,	,	PUNCT
iajs-2702	170	12	ɖ	ɖ	X
iajs-2702	170	13	)	)	PUNCT
iajs-2702	170	14	=	=	SYM
iajs-2702	170	15	{	{	PUNCT
iajs-2702	170	16	(	(	PUNCT
iajs-2702	170	17	ᶁ1,{ᶒ}),(ᶁ2,{ᶒ	ᶁ1,{ᶒ}),(ᶁ2,{ᶒ	PROPN
iajs-2702	170	18	}	}	PUNCT
iajs-2702	170	19	)	)	PUNCT
iajs-2702	170	20	}	}	PUNCT
iajs-2702	170	21	is	be	AUX
iajs-2702	170	22	a	a	DET
iajs-2702	170	23	𝑠ᶅ𝑝𝑔-𝑂	𝑠ᶅ𝑝𝑔-𝑂	ADJ
iajs-2702	170	24	set	set	NOUN
iajs-2702	170	25	.	.	PUNCT
iajs-2702	171	1	in	in	ADP
iajs-2702	171	2	the	the	DET
iajs-2702	171	3	second	second	ADJ
iajs-2702	171	4	inning	inning	NOUN
iajs-2702	171	5	:	:	PUNCT
iajs-2702	171	6	the	the	DET
iajs-2702	171	7	first	first	ADJ
iajs-2702	171	8	step	step	NOUN
iajs-2702	171	9	,	,	PUNCT
iajs-2702	171	10	pⅰ	pⅰ	PROPN
iajs-2702	171	11	chooses	choose	VERB
iajs-2702	171	12	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	171	13	≠	≠	PROPN
iajs-2702	171	14	ᶁ𝓞	ᶁ𝓞	VERB
iajs-2702	171	15	whenever	whenever	SCONJ
iajs-2702	171	16	,	,	PUNCT
iajs-2702	171	17	ᶁ	ᶁ	ADP
iajs-2702	171	18	,	,	PUNCT
iajs-2702	171	19	ᶁ𝓞	ᶁ𝓞	NOUN
iajs-2702	171	20	∈̃	∈̃	PROPN
iajs-2702	171	21	ӽ̃	ӽ̃	PROPN
iajs-2702	171	22	s.t	s.t	PROPN
iajs-2702	171	23	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	171	24	=	=	PRON
iajs-2702	171	25	{	{	PUNCT
iajs-2702	171	26	ᶒ	ᶒ	PROPN
iajs-2702	171	27	}	}	PUNCT
iajs-2702	171	28	and	and	CCONJ
iajs-2702	171	29	ᶁ𝒪	ᶁ𝒪	NOUN
iajs-2702	171	30	=	=	PUNCT
iajs-2702	171	31	{	{	PUNCT
iajs-2702	171	32	ᶉ	ᶉ	NOUN
iajs-2702	171	33	}	}	PUNCT
iajs-2702	171	34	.	.	PUNCT
iajs-2702	172	1	in	in	ADP
iajs-2702	172	2	the	the	DET
iajs-2702	172	3	second	second	ADJ
iajs-2702	172	4	step	step	NOUN
iajs-2702	172	5	,	,	PUNCT
iajs-2702	172	6	pⅱ	pⅱ	NOUN
iajs-2702	172	7	chooses	choose	VERB
iajs-2702	172	8	(	(	PUNCT
iajs-2702	172	9	ƌ	ƌ	PROPN
iajs-2702	172	10	,	,	PUNCT
iajs-2702	172	11	ɖ	ɖ	X
iajs-2702	172	12	)	)	PUNCT
iajs-2702	172	13	=	=	SYM
iajs-2702	172	14	{	{	PUNCT
iajs-2702	172	15	(	(	PUNCT
iajs-2702	172	16	ᶁ1,{ᶒ}),(ᶁ2,{ᶒ	ᶁ1,{ᶒ}),(ᶁ2,{ᶒ	PROPN
iajs-2702	172	17	}	}	PUNCT
iajs-2702	172	18	)	)	PUNCT
iajs-2702	172	19	}	}	PUNCT
iajs-2702	172	20	which	which	PRON
iajs-2702	172	21	is	be	AUX
iajs-2702	172	22	a	a	DET
iajs-2702	172	23	𝑠ᶅ𝑝𝑔-𝑂	𝑠ᶅ𝑝𝑔-𝑂	ADJ
iajs-2702	172	24	set	set	NOUN
iajs-2702	172	25	.	.	PUNCT
iajs-2702	173	1	in	in	ADP
iajs-2702	173	2	the	the	DET
iajs-2702	173	3	third	third	ADJ
iajs-2702	173	4	inning	inning	NOUN
iajs-2702	173	5	:	:	PUNCT
iajs-2702	173	6	the	the	DET
iajs-2702	173	7	first	first	ADJ
iajs-2702	173	8	step	step	NOUN
iajs-2702	173	9	,	,	PUNCT
iajs-2702	173	10	pⅰ	pⅰ	PROPN
iajs-2702	173	11	chooses	choose	VERB
iajs-2702	173	12	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	173	13	≠	≠	PROPN
iajs-2702	173	14	ᶁ𝒪	ᶁ𝒪	NOUN
iajs-2702	173	15	whenever	whenever	ADV
iajs-2702	173	16	,	,	PUNCT
iajs-2702	173	17	ᶁ	ᶁ	ADP
iajs-2702	173	18	,	,	PUNCT
iajs-2702	173	19	ᶁ𝒪	ᶁ𝒪	NOUN
iajs-2702	173	20	∈̃	∈̃	PROPN
iajs-2702	173	21	ӽ̃	ӽ̃	PROPN
iajs-2702	173	22	s.t	s.t	PROPN
iajs-2702	173	23	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	173	24	=	=	PUNCT
iajs-2702	173	25	{	{	PUNCT
iajs-2702	173	26	ᶆ	ᶆ	NOUN
iajs-2702	173	27	}	}	PUNCT
iajs-2702	173	28	and	and	CCONJ
iajs-2702	173	29	d𝒪	d𝒪	ADJ
iajs-2702	173	30	=	=	PUNCT
iajs-2702	173	31	{	{	PUNCT
iajs-2702	173	32	ᶉ	ᶉ	NOUN
iajs-2702	173	33	}	}	PUNCT
iajs-2702	173	34	.	.	PUNCT
iajs-2702	174	1	in	in	ADP
iajs-2702	174	2	the	the	DET
iajs-2702	174	3	second	second	ADJ
iajs-2702	174	4	step	step	NOUN
iajs-2702	174	5	,	,	PUNCT
iajs-2702	174	6	pⅱ	pⅱ	NOUN
iajs-2702	174	7	choose𝑠	choose𝑠	NOUN
iajs-2702	174	8	(	(	PUNCT
iajs-2702	174	9	𝒵	𝒵	PROPN
iajs-2702	174	10	,	,	PUNCT
iajs-2702	174	11	ɖ	ɖ	X
iajs-2702	174	12	)	)	PUNCT
iajs-2702	174	13	=	=	SYM
iajs-2702	174	14	{	{	PUNCT
iajs-2702	174	15	(	(	PUNCT
iajs-2702	174	16	ᶁ1,{ᶒ	ᶁ1,{ᶒ	PROPN
iajs-2702	174	17	,	,	PUNCT
iajs-2702	174	18	ᶆ	ᶆ	X
iajs-2702	174	19	}	}	PUNCT
iajs-2702	174	20	)	)	PUNCT
iajs-2702	174	21	,	,	PUNCT
iajs-2702	174	22	(	(	PUNCT
iajs-2702	174	23	ᶁ2	ᶁ2	INTJ
iajs-2702	174	24	,	,	PUNCT
iajs-2702	174	25	{	{	PUNCT
iajs-2702	174	26	ᶒ	ᶒ	PROPN
iajs-2702	174	27	,	,	PUNCT
iajs-2702	174	28	ᶆ	ᶆ	PROPN
iajs-2702	174	29	}	}	PUNCT
iajs-2702	174	30	)	)	PUNCT
iajs-2702	174	31	}	}	PUNCT
iajs-2702	174	32	which	which	PRON
iajs-2702	174	33	is	be	AUX
iajs-2702	174	34	a	a	DET
iajs-2702	174	35	𝑠ᶅ𝑝𝑔-𝑂	𝑠ᶅ𝑝𝑔-𝑂	ADJ
iajs-2702	174	36	set	set	NOUN
iajs-2702	174	37	.	.	PUNCT
iajs-2702	175	1	in	in	ADP
iajs-2702	175	2	the	the	DET
iajs-2702	175	3	fourth	fourth	ADJ
iajs-2702	175	4	inning	inning	NOUN
iajs-2702	175	5	:	:	PUNCT
iajs-2702	175	6	the	the	DET
iajs-2702	175	7	first	first	ADJ
iajs-2702	175	8	step	step	NOUN
iajs-2702	175	9	,	,	PUNCT
iajs-2702	175	10	pⅰ	pⅰ	PROPN
iajs-2702	175	11	chooses	choose	VERB
iajs-2702	175	12	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	175	13	≠	≠	NOUN
iajs-2702	175	14	ᶁ𝓡	ᶁ𝓡	VERB
iajs-2702	175	15	whenever	whenever	ADV
iajs-2702	175	16	,	,	PUNCT
iajs-2702	175	17	ᶁ	ᶁ	ADP
iajs-2702	175	18	,	,	PUNCT
iajs-2702	175	19	ᶁ𝓡	ᶁ𝓡	PROPN
iajs-2702	175	20	∈̃	∈̃	PROPN
iajs-2702	175	21	ӽ̃	ӽ̃	PROPN
iajs-2702	175	22	s.t	s.t	PROPN
iajs-2702	175	23	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	175	24	=	=	PRON
iajs-2702	175	25	{	{	PUNCT
iajs-2702	175	26	ᶒ	ᶒ	PROPN
iajs-2702	175	27	}	}	PUNCT
iajs-2702	175	28	and	and	CCONJ
iajs-2702	175	29	ᶁ𝓡	ᶁ𝓡	PROPN
iajs-2702	175	30	=	=	SYM
iajs-2702	175	31	{	{	PUNCT
iajs-2702	175	32	ᶆ	ᶆ	X
iajs-2702	175	33	,	,	PUNCT
iajs-2702	175	34	ᶉ	ᶉ	NOUN
iajs-2702	175	35	}	}	PUNCT
iajs-2702	175	36	.	.	PUNCT
iajs-2702	176	1	in	in	ADP
iajs-2702	176	2	the	the	DET
iajs-2702	176	3	second	second	ADJ
iajs-2702	176	4	step	step	NOUN
iajs-2702	176	5	,	,	PUNCT
iajs-2702	176	6	pⅱ	pⅱ	NOUN
iajs-2702	176	7	choose𝑠	choose𝑠	NOUN
iajs-2702	176	8	(	(	PUNCT
iajs-2702	176	9	ƌ	ƌ	PROPN
iajs-2702	176	10	,	,	PUNCT
iajs-2702	176	11	ɖ	ɖ	X
iajs-2702	176	12	)	)	PUNCT
iajs-2702	176	13	=	=	SYM
iajs-2702	176	14	{	{	PUNCT
iajs-2702	176	15	(	(	PUNCT
iajs-2702	176	16	ᶁ1,{ᶒ}),(ᶁ2,{ᶒ	ᶁ1,{ᶒ}),(ᶁ2,{ᶒ	PROPN
iajs-2702	176	17	}	}	PUNCT
iajs-2702	176	18	)	)	PUNCT
iajs-2702	176	19	}	}	PUNCT
iajs-2702	176	20	which	which	PRON
iajs-2702	176	21	is	be	AUX
iajs-2702	176	22	a	a	DET
iajs-2702	176	23	𝑠ᶅ𝑝𝑔-𝑂	𝑠ᶅ𝑝𝑔-𝑂	ADJ
iajs-2702	176	24	set	set	NOUN
iajs-2702	176	25	.	.	PUNCT
iajs-2702	177	1	in	in	ADP
iajs-2702	177	2	the	the	DET
iajs-2702	177	3	fifth	fifth	ADJ
iajs-2702	177	4	inning	inning	NOUN
iajs-2702	177	5	:	:	PUNCT
iajs-2702	177	6	the	the	DET
iajs-2702	177	7	first	first	ADJ
iajs-2702	177	8	step	step	NOUN
iajs-2702	177	9	,	,	PUNCT
iajs-2702	177	10	pⅰ	pⅰ	PROPN
iajs-2702	177	11	choose	choose	VERB
iajs-2702	177	12	ᶁ𝓞	ᶁ𝓞	NOUN
iajs-2702	177	13	≠	≠	NOUN
iajs-2702	177	14	ᶁ𝓢	ᶁ𝓢	NOUN
iajs-2702	177	15	whenever	whenever	ADV
iajs-2702	177	16	,	,	PUNCT
iajs-2702	177	17	ᶁ	ᶁ	ADP
iajs-2702	177	18	,	,	PUNCT
iajs-2702	177	19	ᶁ𝓢	ᶁ𝓢	NOUN
iajs-2702	177	20	∈̃	∈̃	NOUN
iajs-2702	178	1	ӽ̃	ӽ̃	PROPN
iajs-2702	178	2	s.t	s.t	PROPN
iajs-2702	178	3	ᶁ𝓞	ᶁ𝓞	PROPN
iajs-2702	178	4	=	=	PRON
iajs-2702	178	5	{	{	PUNCT
iajs-2702	178	6	ᶉ	ᶉ	NOUN
iajs-2702	178	7	}	}	PUNCT
iajs-2702	178	8	and	and	CCONJ
iajs-2702	178	9	ᶁ𝓢	ᶁ𝓢	NOUN
iajs-2702	178	10	=	=	SYM
iajs-2702	178	11	{	{	PUNCT
iajs-2702	178	12	ᶒ	ᶒ	PROPN
iajs-2702	178	13	,	,	PUNCT
iajs-2702	178	14	ᶆ	ᶆ	NOUN
iajs-2702	178	15	}	}	PUNCT
iajs-2702	178	16	.	.	PUNCT
iajs-2702	179	1	in	in	ADP
iajs-2702	179	2	the	the	DET
iajs-2702	179	3	second	second	ADJ
iajs-2702	179	4	step	step	NOUN
iajs-2702	179	5	,	,	PUNCT
iajs-2702	179	6	pⅱ	pⅱ	NOUN
iajs-2702	179	7	choose	choose	NOUN
iajs-2702	179	8	(	(	PUNCT
iajs-2702	179	9	𝒵	𝒵	PROPN
iajs-2702	179	10	,	,	PUNCT
iajs-2702	179	11	ɖ	ɖ	X
iajs-2702	179	12	)	)	PUNCT
iajs-2702	179	13	=	=	SYM
iajs-2702	179	14	{	{	PUNCT
iajs-2702	179	15	(	(	PUNCT
iajs-2702	179	16	ᶁ1,{ᶒ	ᶁ1,{ᶒ	PROPN
iajs-2702	179	17	,	,	PUNCT
iajs-2702	179	18	ᶆ	ᶆ	X
iajs-2702	179	19	}	}	PUNCT
iajs-2702	179	20	)	)	PUNCT
iajs-2702	179	21	,	,	PUNCT
iajs-2702	179	22	(	(	PUNCT
iajs-2702	179	23	ᶁ2	ᶁ2	INTJ
iajs-2702	179	24	,	,	PUNCT
iajs-2702	179	25	{	{	PUNCT
iajs-2702	179	26	ᶒ	ᶒ	PROPN
iajs-2702	179	27	,	,	PUNCT
iajs-2702	179	28	ᶆ	ᶆ	PROPN
iajs-2702	179	29	}	}	PUNCT
iajs-2702	179	30	)	)	PUNCT
iajs-2702	179	31	}	}	PUNCT
iajs-2702	179	32	which	which	PRON
iajs-2702	179	33	is	be	AUX
iajs-2702	179	34	a	a	DET
iajs-2702	179	35	𝑠ᶅ𝑝𝑔-𝑂	𝑠ᶅ𝑝𝑔-𝑂	ADJ
iajs-2702	179	36	set	set	NOUN
iajs-2702	179	37	.	.	PUNCT
iajs-2702	180	1	in	in	ADP
iajs-2702	180	2	the	the	DET
iajs-2702	180	3	sixth	sixth	ADJ
iajs-2702	180	4	inning	inning	NOUN
iajs-2702	180	5	:	:	PUNCT
iajs-2702	180	6	ibn	ibn	PROPN
iajs-2702	180	7	al	al	PROPN
iajs-2702	180	8	-	-	PUNCT
iajs-2702	180	9	haitham	haitham	PROPN
iajs-2702	180	10	jour	jour	X
iajs-2702	180	11	.	.	PROPN
iajs-2702	181	1	for	for	ADP
iajs-2702	181	2	pure	pure	ADJ
iajs-2702	181	3	&	&	CCONJ
iajs-2702	181	4	appl	appl	PROPN
iajs-2702	181	5	.	.	PUNCT
iajs-2702	182	1	sci	sci	PROPN
iajs-2702	182	2	.	.	PROPN
iajs-2702	183	1	34(4)2021	34(4)2021	NUM
iajs-2702	183	2	52	52	NUM
iajs-2702	183	3	the	the	DET
iajs-2702	183	4	first	first	ADJ
iajs-2702	183	5	step	step	NOUN
iajs-2702	183	6	,	,	PUNCT
iajs-2702	183	7	pⅰ	pⅰ	PROPN
iajs-2702	183	8	choose	choose	VERB
iajs-2702	183	9	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	183	10	≠	≠	PROPN
iajs-2702	183	11	ᶁ𝓛	ᶁ𝓛	VERB
iajs-2702	183	12	whenever	whenever	ADV
iajs-2702	183	13	,	,	PUNCT
iajs-2702	183	14	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	183	15	,	,	PUNCT
iajs-2702	183	16	ᶁ𝓛	ᶁ𝓛	PROPN
iajs-2702	183	17	∈̃	∈̃	PROPN
iajs-2702	183	18	ӽ̃	ӽ̃	PROPN
iajs-2702	183	19	such	such	ADJ
iajs-2702	183	20	that	that	DET
iajs-2702	183	21	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	183	22	=	=	PRON
iajs-2702	183	23	{	{	PUNCT
iajs-2702	183	24	ᶆ	ᶆ	X
iajs-2702	183	25	}	}	PUNCT
iajs-2702	183	26	and	and	CCONJ
iajs-2702	183	27	ᶁ𝓛	ᶁ𝓛	NOUN
iajs-2702	183	28	=	=	SYM
iajs-2702	183	29	{	{	PUNCT
iajs-2702	183	30	ᶒ	ᶒ	PROPN
iajs-2702	183	31	,	,	PUNCT
iajs-2702	183	32	ᶉ	ᶉ	NOUN
iajs-2702	183	33	}	}	PUNCT
iajs-2702	183	34	.	.	PUNCT
iajs-2702	184	1	in	in	ADP
iajs-2702	184	2	the	the	DET
iajs-2702	184	3	second	second	ADJ
iajs-2702	184	4	step	step	NOUN
iajs-2702	184	5	,	,	PUNCT
iajs-2702	184	6	pⅱ	pⅱ	PROPN
iajs-2702	184	7	choose(𝒵	choose(𝒵	PROPN
iajs-2702	184	8	,	,	PUNCT
iajs-2702	184	9	ɖ	ɖ	X
iajs-2702	184	10	)	)	PUNCT
iajs-2702	184	11	=	=	SYM
iajs-2702	184	12	{	{	PUNCT
iajs-2702	184	13	(	(	PUNCT
iajs-2702	184	14	ᶁ1,{ᶒ	ᶁ1,{ᶒ	PROPN
iajs-2702	184	15	,	,	PUNCT
iajs-2702	184	16	ᶆ	ᶆ	X
iajs-2702	184	17	}	}	PUNCT
iajs-2702	184	18	)	)	PUNCT
iajs-2702	184	19	,	,	PUNCT
iajs-2702	184	20	(	(	PUNCT
iajs-2702	184	21	ᶁ2	ᶁ2	INTJ
iajs-2702	184	22	,	,	PUNCT
iajs-2702	184	23	{	{	PUNCT
iajs-2702	184	24	ᶒ	ᶒ	PROPN
iajs-2702	184	25	,	,	PUNCT
iajs-2702	184	26	ᶆ	ᶆ	PROPN
iajs-2702	184	27	}	}	PUNCT
iajs-2702	184	28	)	)	PUNCT
iajs-2702	184	29	}	}	PUNCT
iajs-2702	184	30	which	which	PRON
iajs-2702	184	31	is	be	AUX
iajs-2702	184	32	a	a	DET
iajs-2702	184	33	𝑠ᶅ𝑝𝑔-𝑂	𝑠ᶅ𝑝𝑔-𝑂	ADJ
iajs-2702	184	34	set	set	NOUN
iajs-2702	184	35	.	.	PUNCT
iajs-2702	185	1	then	then	ADV
iajs-2702	185	2	ƀ	ƀ	X
iajs-2702	185	3	=	=	PUNCT
iajs-2702	185	4	{	{	PUNCT
iajs-2702	185	5	(	(	PUNCT
iajs-2702	185	6	ƌ	ƌ	PROPN
iajs-2702	185	7	,	,	PUNCT
iajs-2702	185	8	ɖ	ɖ	NOUN
iajs-2702	185	9	)	)	PUNCT
iajs-2702	185	10	,	,	PUNCT
iajs-2702	185	11	(	(	PUNCT
iajs-2702	185	12	𝒵	𝒵	PROPN
iajs-2702	185	13	,	,	PUNCT
iajs-2702	185	14	ɖ	ɖ	NOUN
iajs-2702	185	15	)	)	PUNCT
iajs-2702	185	16	}	}	PUNCT
iajs-2702	185	17	is	be	AUX
iajs-2702	185	18	the	the	DET
iajs-2702	185	19	winning	win	VERB
iajs-2702	185	20	strategy	strategy	NOUN
iajs-2702	185	21	for	for	ADP
iajs-2702	185	22	pⅱ	pⅱ	NOUN
iajs-2702	185	23	in	in	ADP
iajs-2702	185	24	şᶃ(ʈ0	şᶃ(ʈ0	NOUN
iajs-2702	185	25	,	,	PUNCT
iajs-2702	185	26	ӽ	ӽ	X
iajs-2702	185	27	,	,	PUNCT
iajs-2702	185	28	ᶅ	ᶅ	NOUN
iajs-2702	185	29	)	)	PUNCT
iajs-2702	185	30	.	.	PUNCT
iajs-2702	186	1	hence	hence	ADV
iajs-2702	186	2	pⅱ	pⅱ	PROPN
iajs-2702	186	3	↑	↑	PROPN
iajs-2702	186	4	şᶃ(ʈ0	şᶃ(ʈ0	PROPN
iajs-2702	186	5	,	,	PUNCT
iajs-2702	186	6	ӽ	ӽ	X
iajs-2702	186	7	,	,	PUNCT
iajs-2702	186	8	ᶅ	ᶅ	NOUN
iajs-2702	186	9	)	)	PUNCT
iajs-2702	186	10	.	.	PUNCT
iajs-2702	187	1	remark	remark	PROPN
iajs-2702	187	2	5.4	5.4	NUM
iajs-2702	187	3	.	.	PUNCT
iajs-2702	188	1	in	in	ADP
iajs-2702	188	2	the	the	DET
iajs-2702	188	3	space	space	NOUN
iajs-2702	188	4	(	(	PUNCT
iajs-2702	188	5	ӽ	ӽ	NOUN
iajs-2702	188	6	,	,	PUNCT
iajs-2702	188	7	ʈ	ʈ	X
iajs-2702	188	8	,	,	PUNCT
iajs-2702	188	9	ɖ	ɖ	NOUN
iajs-2702	188	10	,	,	PUNCT
iajs-2702	188	11	ᶅ	ᶅ	NOUN
iajs-2702	188	12	):	):	PUNCT
iajs-2702	188	13	i.	i.	NOUN
iajs-2702	188	14	if	if	SCONJ
iajs-2702	188	15	pⅱ	pⅱ	PROPN
iajs-2702	188	16	↑	↑	PROPN
iajs-2702	188	17	şᶃ(ʈ0	şᶃ(ʈ0	PROPN
iajs-2702	188	18	,	,	PUNCT
iajs-2702	188	19	ӽ	ӽ	X
iajs-2702	188	20	)	)	PUNCT
iajs-2702	188	21	then	then	ADV
iajs-2702	188	22	pⅱ	pⅱ	PROPN
iajs-2702	188	23	↑	↑	PROPN
iajs-2702	188	24	şᶃ(ʈ0	şᶃ(ʈ0	PROPN
iajs-2702	188	25	,	,	PUNCT
iajs-2702	188	26	ӽ	ӽ	X
iajs-2702	188	27	,	,	PUNCT
iajs-2702	188	28	ᶅ	ᶅ	NOUN
iajs-2702	188	29	)	)	PUNCT
iajs-2702	188	30	.	.	PUNCT
iajs-2702	189	1	ii	ii	PROPN
iajs-2702	189	2	.	.	PUNCT
iajs-2702	190	1	if	if	SCONJ
iajs-2702	190	2	pⅰ	pⅰ	PROPN
iajs-2702	190	3	↑	↑	PROPN
iajs-2702	190	4	şᶃ(ʈ0	şᶃ(ʈ0	PROPN
iajs-2702	190	5	,	,	PUNCT
iajs-2702	190	6	ӽ	ӽ	X
iajs-2702	190	7	,	,	PUNCT
iajs-2702	190	8	ᶅ	ᶅ	PROPN
iajs-2702	190	9	)	)	PUNCT
iajs-2702	190	10	then	then	ADV
iajs-2702	190	11	pⅰ	pⅰ	PROPN
iajs-2702	190	12	↑	↑	PROPN
iajs-2702	190	13	şᶃ	şᶃ	PROPN
iajs-2702	190	14	(	(	PUNCT
iajs-2702	190	15	ʈ0	ʈ0	INTJ
iajs-2702	190	16	,	,	PUNCT
iajs-2702	190	17	ӽ	ӽ	X
iajs-2702	190	18	)	)	PUNCT
iajs-2702	190	19	.	.	PUNCT
iajs-2702	191	1	remark	remark	VERB
iajs-2702	191	2	5.5	5.5	NUM
iajs-2702	191	3	.	.	PUNCT
iajs-2702	192	1	in	in	ADP
iajs-2702	192	2	the	the	DET
iajs-2702	192	3	space	space	NOUN
iajs-2702	192	4	(	(	PUNCT
iajs-2702	192	5	ӽ	ӽ	NOUN
iajs-2702	192	6	,	,	PUNCT
iajs-2702	192	7	ʈ	ʈ	X
iajs-2702	192	8	,	,	PUNCT
iajs-2702	192	9	ɖ	ɖ	NOUN
iajs-2702	192	10	,	,	PUNCT
iajs-2702	192	11	ᶅ	ᶅ	NOUN
iajs-2702	192	12	)	)	PUNCT
iajs-2702	192	13	,	,	PUNCT
iajs-2702	192	14	if	if	SCONJ
iajs-2702	192	15	pⅱ	pⅱ	PROPN
iajs-2702	192	16	↓	↓	PROPN
iajs-2702	192	17	şᶃ(ʈ0	şᶃ(ʈ0	PROPN
iajs-2702	192	18	,	,	PUNCT
iajs-2702	192	19	ӽ	ӽ	X
iajs-2702	192	20	)	)	PUNCT
iajs-2702	192	21	then	then	ADV
iajs-2702	192	22	pⅱ	pⅱ	PROPN
iajs-2702	192	23	↓	↓	PROPN
iajs-2702	192	24	şᶃ(ʈ0	şᶃ(ʈ0	PROPN
iajs-2702	192	25	,	,	PUNCT
iajs-2702	192	26	ӽ	ӽ	X
iajs-2702	192	27	,	,	PUNCT
iajs-2702	192	28	ᶅ	ᶅ	NOUN
iajs-2702	192	29	)	)	PUNCT
iajs-2702	192	30	theorem	theorem	VERB
iajs-2702	192	31	5.6	5.6	NUM
iajs-2702	192	32	.	.	PUNCT
iajs-2702	193	1	a	a	DET
iajs-2702	193	2	space	space	NOUN
iajs-2702	193	3	(	(	PUNCT
iajs-2702	193	4	ӽ	ӽ	NOUN
iajs-2702	193	5	,	,	PUNCT
iajs-2702	193	6	ʈ	ʈ	X
iajs-2702	193	7	,	,	PUNCT
iajs-2702	193	8	ɖ	ɖ	NOUN
iajs-2702	193	9	,	,	PUNCT
iajs-2702	193	10	ᶅ	ᶅ	NOUN
iajs-2702	193	11	)	)	PUNCT
iajs-2702	193	12	is	be	AUX
iajs-2702	193	13	𝒯0	𝒯0	NOUN
iajs-2702	193	14	-	-	PUNCT
iajs-2702	193	15	space	space	NOUN
iajs-2702	193	16	if	if	SCONJ
iajs-2702	193	17	and	and	CCONJ
iajs-2702	193	18	only	only	ADV
iajs-2702	193	19	if	if	SCONJ
iajs-2702	193	20	pⅱ	pⅱ	PROPN
iajs-2702	193	21	↑	↑	PROPN
iajs-2702	193	22	şᶃ(ʈ0	şᶃ(ʈ0	PROPN
iajs-2702	193	23	,	,	PUNCT
iajs-2702	193	24	ӽ	ӽ	X
iajs-2702	193	25	,	,	PUNCT
iajs-2702	193	26	ᶅ	ᶅ	NOUN
iajs-2702	193	27	)	)	PUNCT
iajs-2702	193	28	.	.	PUNCT
iajs-2702	194	1	proof	proof	NOUN
iajs-2702	194	2	:	:	PUNCT
iajs-2702	194	3	(	(	PUNCT
iajs-2702	194	4	⇒	⇒	NOUN
iajs-2702	194	5	)	)	PUNCT
iajs-2702	194	6	in	in	ADP
iajs-2702	194	7	the	the	DET
iajs-2702	194	8	𝑧-𝑡ℎ	𝑧-𝑡ℎ	NOUN
iajs-2702	194	9	inning	inne	VERB
iajs-2702	194	10	pⅰin	pⅰin	NOUN
iajs-2702	194	11	şᶃ(ʈ0	şᶃ(ʈ0	NOUN
iajs-2702	194	12	,	,	PUNCT
iajs-2702	194	13	ӽ	ӽ	X
iajs-2702	194	14	,	,	PUNCT
iajs-2702	194	15	ᶅ	ᶅ	NOUN
iajs-2702	194	16	)	)	PUNCT
iajs-2702	194	17	choose	choose	VERB
iajs-2702	194	18	(	(	PUNCT
iajs-2702	194	19	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	194	20	≠	≠	PROPN
iajs-2702	194	21	(	(	PUNCT
iajs-2702	194	22	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	194	23	whenever	whenever	SCONJ
iajs-2702	194	24	,	,	PUNCT
iajs-2702	194	25	(	(	PUNCT
iajs-2702	194	26	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	194	27	,	,	PUNCT
iajs-2702	194	28	(	(	PUNCT
iajs-2702	194	29	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	194	30	∈̃	∈̃	PROPN
iajs-2702	194	31	ӽ̃	ӽ̃	PROPN
iajs-2702	194	32	,	,	PUNCT
iajs-2702	194	33	pⅱ	pⅱ	NOUN
iajs-2702	194	34	in	in	ADP
iajs-2702	194	35	şᶃ(ʈ0	şᶃ(ʈ0	NOUN
iajs-2702	194	36	,	,	PUNCT
iajs-2702	194	37	ӽ	ӽ	X
iajs-2702	194	38	,	,	PUNCT
iajs-2702	194	39	ᶅ	ᶅ	NOUN
iajs-2702	194	40	)	)	PUNCT
iajs-2702	194	41	choose	choose	VERB
iajs-2702	194	42	(	(	PUNCT
iajs-2702	194	43	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	194	44	,	,	PUNCT
iajs-2702	194	45	ɖ	ɖ	X
iajs-2702	194	46	)	)	PUNCT
iajs-2702	194	47	is	be	AUX
iajs-2702	194	48	a	a	DET
iajs-2702	194	49	𝑠ᶅ𝑝𝑔-open	𝑠ᶅ𝑝𝑔-open	ADJ
iajs-2702	194	50	set	set	NOUN
iajs-2702	194	51	s.t	s.t	PROPN
iajs-2702	194	52	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	194	53	∈̃	∈̃	PROPN
iajs-2702	194	54	(	(	PUNCT
iajs-2702	194	55	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	194	56	,	,	PUNCT
iajs-2702	194	57	ɖ	ɖ	X
iajs-2702	194	58	)	)	PUNCT
iajs-2702	194	59	∧	∧	PROPN
iajs-2702	194	60	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	194	61	∉̃	∉̃	NOUN
iajs-2702	194	62	(	(	PUNCT
iajs-2702	194	63	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	194	64	,	,	PUNCT
iajs-2702	194	65	ɖ	ɖ	NOUN
iajs-2702	194	66	)	)	PUNCT
iajs-2702	194	67	or	or	CCONJ
iajs-2702	194	68	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	194	69	∉̃	∉̃	PROPN
iajs-2702	194	70	(	(	PUNCT
iajs-2702	194	71	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	194	72	,	,	PUNCT
iajs-2702	194	73	ɖ	ɖ	X
iajs-2702	194	74	)	)	PUNCT
iajs-2702	194	75	∧	∧	PROPN
iajs-2702	194	76	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	194	77	∈̃	∈̃	PROPN
iajs-2702	194	78	(	(	PUNCT
iajs-2702	194	79	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	194	80	,	,	PUNCT
iajs-2702	194	81	ɖ	ɖ	NOUN
iajs-2702	194	82	)	)	PUNCT
iajs-2702	194	83	.	.	PUNCT
iajs-2702	195	1	since	since	SCONJ
iajs-2702	195	2	(	(	PUNCT
iajs-2702	195	3	ӽ	ӽ	NOUN
iajs-2702	195	4	,	,	PUNCT
iajs-2702	195	5	ʈ	ʈ	X
iajs-2702	195	6	,	,	PUNCT
iajs-2702	195	7	ɖ	ɖ	NOUN
iajs-2702	195	8	,	,	PUNCT
iajs-2702	195	9	ᶅ	ᶅ	NOUN
iajs-2702	195	10	)	)	PUNCT
iajs-2702	195	11	is	be	AUX
iajs-2702	195	12	a	a	DET
iajs-2702	195	13	𝑠ᶅ𝑝𝑔-ʈ0	𝑠ᶅ𝑝𝑔-ʈ0	ADJ
iajs-2702	195	14	-	-	NOUN
iajs-2702	195	15	space	space	NOUN
iajs-2702	195	16	.	.	PUNCT
iajs-2702	196	1	hence	hence	ADV
iajs-2702	196	2	pⅱ	pⅱ	PROPN
iajs-2702	196	3	↑	↑	PROPN
iajs-2702	196	4	şᶃ(ʈ0	şᶃ(ʈ0	PROPN
iajs-2702	196	5	,	,	PUNCT
iajs-2702	196	6	ӽ	ӽ	X
iajs-2702	196	7	,	,	PUNCT
iajs-2702	196	8	ᶅ	ᶅ	NOUN
iajs-2702	196	9	)	)	PUNCT
iajs-2702	196	10	.	.	PUNCT
iajs-2702	197	1	(	(	PUNCT
iajs-2702	197	2	⇐	⇐	INTJ
iajs-2702	197	3	)	)	PUNCT
iajs-2702	197	4	clear	clear	ADJ
iajs-2702	197	5	.	.	PUNCT
iajs-2702	198	1	corollary	corollary	ADJ
iajs-2702	198	2	5.7	5.7	NUM
iajs-2702	198	3	.	.	PUNCT
iajs-2702	199	1	a	a	DET
iajs-2702	199	2	space	space	NOUN
iajs-2702	199	3	(	(	PUNCT
iajs-2702	199	4	ӽ	ӽ	NOUN
iajs-2702	199	5	,	,	PUNCT
iajs-2702	199	6	ʈ	ʈ	X
iajs-2702	199	7	,	,	PUNCT
iajs-2702	199	8	ɖ	ɖ	NOUN
iajs-2702	199	9	,	,	PUNCT
iajs-2702	199	10	ᶅ	ᶅ	NOUN
iajs-2702	199	11	)	)	PUNCT
iajs-2702	199	12	is	be	AUX
iajs-2702	199	13	a	a	DET
iajs-2702	199	14	𝑠ᶅ𝑝𝑔-ʈ0­space	𝑠ᶅ𝑝𝑔-ʈ0­space	NOUN
iajs-2702	199	15	if	if	SCONJ
iajs-2702	199	16	and	and	CCONJ
iajs-2702	199	17	only	only	ADV
iajs-2702	199	18	if	if	SCONJ
iajs-2702	199	19	pⅰ	pⅰ	NOUN
iajs-2702	199	20	⤉	⤉	VERB
iajs-2702	199	21	şᶃ	şᶃ	NOUN
iajs-2702	199	22	(	(	PUNCT
iajs-2702	199	23	ʈ0	ʈ0	INTJ
iajs-2702	199	24	,	,	PUNCT
iajs-2702	199	25	ӽ	ӽ	X
iajs-2702	199	26	,	,	PUNCT
iajs-2702	199	27	ᶅ	ᶅ	NOUN
iajs-2702	199	28	)	)	PUNCT
iajs-2702	199	29	.	.	PUNCT
iajs-2702	200	1	proof	proof	NOUN
iajs-2702	200	2	:	:	PUNCT
iajs-2702	200	3	by	by	ADP
iajs-2702	200	4	theorem	theorem	NOUN
iajs-2702	200	5	5.6	5.6	NUM
iajs-2702	200	6	,	,	PUNCT
iajs-2702	200	7	the	the	DET
iajs-2702	200	8	proof	proof	NOUN
iajs-2702	200	9	is	be	AUX
iajs-2702	200	10	over	over	ADV
iajs-2702	200	11	.	.	PUNCT
iajs-2702	201	1	theorem	theorem	VERB
iajs-2702	201	2	5.8	5.8	NUM
iajs-2702	201	3	.	.	PUNCT
iajs-2702	202	1	in	in	ADP
iajs-2702	202	2	the	the	DET
iajs-2702	202	3	space	space	NOUN
iajs-2702	202	4	(	(	PUNCT
iajs-2702	202	5	ӽ	ӽ	NOUN
iajs-2702	202	6	,	,	PUNCT
iajs-2702	202	7	ʈ	ʈ	X
iajs-2702	202	8	,	,	PUNCT
iajs-2702	202	9	ɖ	ɖ	NOUN
iajs-2702	202	10	,	,	PUNCT
iajs-2702	202	11	ᶅ	ᶅ	NOUN
iajs-2702	202	12	)	)	PUNCT
iajs-2702	202	13	:	:	PUNCT
iajs-2702	202	14	a	a	DET
iajs-2702	202	15	space	space	NOUN
iajs-2702	202	16	(	(	PUNCT
iajs-2702	202	17	ӽ	ӽ	NOUN
iajs-2702	202	18	,	,	PUNCT
iajs-2702	202	19	ʈ	ʈ	X
iajs-2702	202	20	,	,	PUNCT
iajs-2702	202	21	ɖ	ɖ	NOUN
iajs-2702	202	22	,	,	PUNCT
iajs-2702	202	23	ᶅ	ᶅ	NOUN
iajs-2702	202	24	)	)	PUNCT
iajs-2702	202	25	is	be	AUX
iajs-2702	202	26	not	not	PART
iajs-2702	202	27	𝑠ᶅ𝑝𝑔-ʈ0­space	𝑠ᶅ𝑝𝑔-ʈ0­space	NOUN
iajs-2702	202	28	if	if	SCONJ
iajs-2702	203	1	and	and	CCONJ
iajs-2702	203	2	only	only	ADV
iajs-2702	203	3	if	if	SCONJ
iajs-2702	203	4	pⅰ	pⅰ	PROPN
iajs-2702	203	5	↑	↑	NOUN
iajs-2702	203	6	şᶃ	şᶃ	PROPN
iajs-2702	203	7	(	(	PUNCT
iajs-2702	203	8	ʈ0	ʈ0	INTJ
iajs-2702	203	9	,	,	PUNCT
iajs-2702	203	10	ӽ	ӽ	X
iajs-2702	203	11	,	,	PUNCT
iajs-2702	203	12	ᶅ	ᶅ	NOUN
iajs-2702	203	13	)	)	PUNCT
iajs-2702	203	14	.	.	PUNCT
iajs-2702	204	1	proof:(⟹)in	proof:(⟹)in	NOUN
iajs-2702	204	2	the	the	DET
iajs-2702	204	3	𝑧-th	𝑧-th	PROPN
iajs-2702	204	4	inning	inne	VERB
iajs-2702	204	5	pⅰ	pⅰ	NOUN
iajs-2702	204	6	in	in	ADP
iajs-2702	204	7	şᶃ	şᶃ	PROPN
iajs-2702	204	8	(	(	PUNCT
iajs-2702	204	9	ʈ0	ʈ0	INTJ
iajs-2702	204	10	,	,	PUNCT
iajs-2702	204	11	ӽ	ӽ	X
iajs-2702	204	12	,	,	PUNCT
iajs-2702	204	13	ᶅ	ᶅ	NOUN
iajs-2702	204	14	)	)	PUNCT
iajs-2702	204	15	choose	choose	VERB
iajs-2702	204	16	(	(	PUNCT
iajs-2702	204	17	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	204	18	≠	≠	PROPN
iajs-2702	204	19	(	(	PUNCT
iajs-2702	204	20	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	204	21	whenever	whenever	SCONJ
iajs-2702	204	22	,	,	PUNCT
iajs-2702	204	23	(	(	PUNCT
iajs-2702	204	24	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	204	25	,	,	PUNCT
iajs-2702	204	26	(	(	PUNCT
iajs-2702	204	27	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	204	28	∈̃	∈̃	PROPN
iajs-2702	204	29	ӽ̃	ӽ̃	PROPN
iajs-2702	204	30	,	,	PUNCT
iajs-2702	204	31	pⅱ	pⅱ	NOUN
iajs-2702	204	32	in	in	ADP
iajs-2702	204	33	şᶃ	şᶃ	PROPN
iajs-2702	204	34	(	(	PUNCT
iajs-2702	204	35	ʈ0	ʈ0	INTJ
iajs-2702	204	36	,	,	PUNCT
iajs-2702	204	37	ӽ	ӽ	X
iajs-2702	204	38	,	,	PUNCT
iajs-2702	204	39	ᶅ	ᶅ	NOUN
iajs-2702	204	40	)	)	PUNCT
iajs-2702	204	41	can	can	AUX
iajs-2702	204	42	not	not	PART
iajs-2702	204	43	find	find	VERB
iajs-2702	204	44	(	(	PUNCT
iajs-2702	204	45	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	204	46	,	,	PUNCT
iajs-2702	204	47	ɖ	ɖ	X
iajs-2702	204	48	)	)	PUNCT
iajs-2702	204	49	is	be	AUX
iajs-2702	204	50	a	a	DET
iajs-2702	204	51	𝑠ᶅ𝑝𝑔­𝑜𝑝𝑒𝑛	𝑠ᶅ𝑝𝑔­𝑜𝑝𝑒𝑛	NOUN
iajs-2702	204	52	set	set	NOUN
iajs-2702	204	53	(	(	PUNCT
iajs-2702	204	54	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	204	55	∈̃	∈̃	PROPN
iajs-2702	204	56	(	(	PUNCT
iajs-2702	204	57	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	204	58	,	,	PUNCT
iajs-2702	204	59	ɖ	ɖ	NOUN
iajs-2702	204	60	)	)	PUNCT
iajs-2702	204	61	,	,	PUNCT
iajs-2702	204	62	(	(	PUNCT
iajs-2702	204	63	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	204	64	∉̃	∉̃	NOUN
iajs-2702	204	65	(	(	PUNCT
iajs-2702	204	66	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	204	67	,	,	PUNCT
iajs-2702	204	68	ɖ	ɖ	NOUN
iajs-2702	204	69	)	)	PUNCT
iajs-2702	204	70	or	or	CCONJ
iajs-2702	204	71	(	(	PUNCT
iajs-2702	204	72	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	204	73	∉̃	∉̃	NOUN
iajs-2702	204	74	(	(	PUNCT
iajs-2702	204	75	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	204	76	,	,	PUNCT
iajs-2702	204	77	ɖ	ɖ	NOUN
iajs-2702	204	78	)	)	PUNCT
iajs-2702	204	79	,	,	PUNCT
iajs-2702	204	80	(	(	PUNCT
iajs-2702	204	81	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	204	82	∈̃	∈̃	PROPN
iajs-2702	204	83	(	(	PUNCT
iajs-2702	204	84	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	204	85	,	,	PUNCT
iajs-2702	204	86	ɖ	ɖ	NOUN
iajs-2702	204	87	)	)	PUNCT
iajs-2702	204	88	,	,	PUNCT
iajs-2702	204	89	because	because	SCONJ
iajs-2702	204	90	(	(	PUNCT
iajs-2702	204	91	ӽ	ӽ	NOUN
iajs-2702	204	92	,	,	PUNCT
iajs-2702	204	93	ʈ	ʈ	X
iajs-2702	204	94	,	,	PUNCT
iajs-2702	204	95	ɖ	ɖ	NOUN
iajs-2702	204	96	,	,	PUNCT
iajs-2702	204	97	ᶅ	ᶅ	NOUN
iajs-2702	204	98	)	)	PUNCT
iajs-2702	204	99	is	be	AUX
iajs-2702	204	100	not	not	PART
iajs-2702	204	101	𝑠ᶅ𝑝𝑔ʈ0­space	𝑠ᶅ𝑝𝑔ʈ0­space	PROPN
iajs-2702	204	102	.	.	PUNCT
iajs-2702	205	1	hence	hence	ADV
iajs-2702	205	2	pⅰ	pⅰ	PROPN
iajs-2702	205	3	↑	↑	NOUN
iajs-2702	205	4	şᶃ	şᶃ	NOUN
iajs-2702	205	5	(	(	PUNCT
iajs-2702	205	6	ʈ0	ʈ0	INTJ
iajs-2702	205	7	,	,	PUNCT
iajs-2702	205	8	ᶅ	ᶅ	NOUN
iajs-2702	205	9	)	)	PUNCT
iajs-2702	205	10	.	.	PUNCT
iajs-2702	206	1	(	(	PUNCT
iajs-2702	206	2	⟸	⟸	ADJ
iajs-2702	206	3	)	)	PUNCT
iajs-2702	206	4	clear	clear	ADJ
iajs-2702	206	5	.	.	PUNCT
iajs-2702	207	1	corollary	corollary	ADJ
iajs-2702	207	2	5.9	5.9	NUM
iajs-2702	207	3	.	.	PUNCT
iajs-2702	208	1	a	a	DET
iajs-2702	208	2	space	space	NOUN
iajs-2702	208	3	(	(	PUNCT
iajs-2702	208	4	ӽ	ӽ	NOUN
iajs-2702	208	5	,	,	PUNCT
iajs-2702	208	6	ʈ	ʈ	X
iajs-2702	208	7	,	,	PUNCT
iajs-2702	208	8	ɖ	ɖ	NOUN
iajs-2702	208	9	,	,	PUNCT
iajs-2702	208	10	ᶅ	ᶅ	NOUN
iajs-2702	208	11	)	)	PUNCT
iajs-2702	208	12	is	be	AUX
iajs-2702	208	13	not	not	PART
iajs-2702	208	14	𝑠ᶅ𝑝𝑔-ʈ0­space	𝑠ᶅ𝑝𝑔-ʈ0­space	NOUN
iajs-2702	208	15	if	if	SCONJ
iajs-2702	209	1	and	and	CCONJ
iajs-2702	209	2	only	only	ADV
iajs-2702	209	3	if	if	SCONJ
iajs-2702	209	4	pⅱ	pⅱ	NOUN
iajs-2702	209	5	⤉	⤉	VERB
iajs-2702	209	6	şᶃ	şᶃ	NOUN
iajs-2702	209	7	(	(	PUNCT
iajs-2702	209	8	ʈ0	ʈ0	INTJ
iajs-2702	209	9	,	,	PUNCT
iajs-2702	209	10	ӽ	ӽ	X
iajs-2702	209	11	,	,	PUNCT
iajs-2702	209	12	ᶅ	ᶅ	NOUN
iajs-2702	209	13	)	)	PUNCT
iajs-2702	209	14	.	.	PUNCT
iajs-2702	210	1	proof	proof	NOUN
iajs-2702	210	2	:	:	PUNCT
iajs-2702	210	3	by	by	ADP
iajs-2702	210	4	theorem	theorem	NOUN
iajs-2702	210	5	5.8	5.8	NUM
iajs-2702	210	6	,	,	PUNCT
iajs-2702	210	7	the	the	DET
iajs-2702	210	8	proof	proof	NOUN
iajs-2702	210	9	is	be	AUX
iajs-2702	210	10	over	over	ADV
iajs-2702	210	11	.	.	PUNCT
iajs-2702	211	1	definition	definition	NOUN
iajs-2702	211	2	5.10	5.10	NUM
iajs-2702	211	3	.	.	PUNCT
iajs-2702	212	1	in	in	ADP
iajs-2702	212	2	the	the	DET
iajs-2702	212	3	space	space	NOUN
iajs-2702	212	4	(	(	PUNCT
iajs-2702	212	5	ӽ	ӽ	NOUN
iajs-2702	212	6	,	,	PUNCT
iajs-2702	212	7	ʈ	ʈ	X
iajs-2702	212	8	,	,	PUNCT
iajs-2702	212	9	ɖ	ɖ	NOUN
iajs-2702	212	10	,	,	PUNCT
iajs-2702	212	11	ᶅ	ᶅ	NOUN
iajs-2702	212	12	)	)	PUNCT
iajs-2702	212	13	,	,	PUNCT
iajs-2702	212	14	define	define	VERB
iajs-2702	212	15	a	a	DET
iajs-2702	212	16	game	game	NOUN
iajs-2702	212	17	şᶃ(ʈ1	şᶃ(ʈ1	NOUN
iajs-2702	212	18	,	,	PUNCT
iajs-2702	212	19	ӽ	ӽ	X
iajs-2702	212	20	,	,	PUNCT
iajs-2702	212	21	ᶅ	ᶅ	NOUN
iajs-2702	212	22	)	)	PUNCT
iajs-2702	212	23	as	as	SCONJ
iajs-2702	212	24	follows	follow	VERB
iajs-2702	212	25	:	:	PUNCT
iajs-2702	212	26	pⅰ	pⅰ	NOUN
iajs-2702	212	27	and	and	CCONJ
iajs-2702	212	28	pⅱ	pⅱ	NOUN
iajs-2702	212	29	are	be	AUX
iajs-2702	212	30	play	play	VERB
iajs-2702	212	31	an	an	DET
iajs-2702	212	32	inning	inning	NOUN
iajs-2702	212	33	for	for	SCONJ
iajs-2702	212	34	every	every	DET
iajs-2702	212	35	natural	natural	ADJ
iajs-2702	212	36	number	number	NOUN
iajs-2702	212	37	in	in	ADP
iajs-2702	212	38	the	the	DET
iajs-2702	212	39	𝑧-𝑡ℎ	𝑧-𝑡ℎ	NOUN
iajs-2702	212	40	inning	inne	VERB
iajs-2702	212	41	:	:	PUNCT
iajs-2702	212	42	the	the	DET
iajs-2702	212	43	first	first	ADJ
iajs-2702	212	44	step	step	NOUN
iajs-2702	212	45	,	,	PUNCT
iajs-2702	212	46	pⅰ	pⅰ	PROPN
iajs-2702	212	47	choose	choose	VERB
iajs-2702	212	48	(	(	PUNCT
iajs-2702	212	49	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	212	50	≠	≠	PROPN
iajs-2702	212	51	(	(	PUNCT
iajs-2702	212	52	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	212	53	whenever	whenever	SCONJ
iajs-2702	212	54	,	,	PUNCT
iajs-2702	212	55	(	(	PUNCT
iajs-2702	212	56	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	212	57	,	,	PUNCT
iajs-2702	212	58	(	(	PUNCT
iajs-2702	212	59	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	212	60	∈̃	∈̃	PROPN
iajs-2702	212	61	ӽ̃.	ӽ̃.	PROPN
iajs-2702	212	62	ibn	ibn	PROPN
iajs-2702	212	63	al	al	PROPN
iajs-2702	212	64	-	-	PUNCT
iajs-2702	212	65	haitham	haitham	PROPN
iajs-2702	212	66	jour	jour	X
iajs-2702	212	67	.	.	PROPN
iajs-2702	213	1	for	for	ADP
iajs-2702	213	2	pure	pure	ADJ
iajs-2702	213	3	&	&	CCONJ
iajs-2702	213	4	appl	appl	PROPN
iajs-2702	213	5	.	.	PUNCT
iajs-2702	214	1	sci	sci	PROPN
iajs-2702	214	2	.	.	PROPN
iajs-2702	215	1	34(4)2021	34(4)2021	NUM
iajs-2702	215	2	53	53	NUM
iajs-2702	215	3	in	in	ADP
iajs-2702	215	4	the	the	DET
iajs-2702	215	5	second	second	ADJ
iajs-2702	215	6	step	step	NOUN
iajs-2702	215	7	,	,	PUNCT
iajs-2702	215	8	pⅱ	pⅱ	NOUN
iajs-2702	215	9	choose	choose	NOUN
iajs-2702	215	10	(	(	PUNCT
iajs-2702	215	11	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	215	12	,	,	PUNCT
iajs-2702	215	13	ɖ	ɖ	NOUN
iajs-2702	215	14	)	)	PUNCT
iajs-2702	215	15	,	,	PUNCT
iajs-2702	215	16	(	(	PUNCT
iajs-2702	215	17	ư𝑧	ư𝑧	ADJ
iajs-2702	215	18	,	,	PUNCT
iajs-2702	215	19	ɖ	ɖ	X
iajs-2702	215	20	)	)	PUNCT
iajs-2702	215	21	are	be	AUX
iajs-2702	215	22	two	two	NUM
iajs-2702	215	23	𝑠ᶅ𝑝𝑔-open	𝑠ᶅ𝑝𝑔-open	ADJ
iajs-2702	215	24	soft	soft	ADJ
iajs-2702	215	25	sets	set	NOUN
iajs-2702	215	26	s.t	s.t	PROPN
iajs-2702	215	27	(	(	PUNCT
iajs-2702	215	28	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	215	29	)	)	PUNCT
iajs-2702	215	30	z	z	PROPN
iajs-2702	216	1	∈̃	∈̃	NOUN
iajs-2702	216	2	(	(	PUNCT
iajs-2702	216	3	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	216	4	,	,	PUNCT
iajs-2702	216	5	ɖ	ɖ	NOUN
iajs-2702	216	6	)	)	PUNCT
iajs-2702	216	7	⋀	⋀	PROPN
iajs-2702	216	8	(	(	PUNCT
iajs-2702	216	9	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	216	10	)	)	PUNCT
iajs-2702	216	11	z	z	PROPN
iajs-2702	216	12	∉̃	∉̃	NOUN
iajs-2702	216	13	(	(	PUNCT
iajs-2702	216	14	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	216	15	,	,	PUNCT
iajs-2702	216	16	ɖ	ɖ	NOUN
iajs-2702	216	17	)	)	PUNCT
iajs-2702	216	18	and	and	CCONJ
iajs-2702	216	19	(	(	PUNCT
iajs-2702	216	20	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	216	21	)	)	PUNCT
iajs-2702	216	22	z	z	PROPN
iajs-2702	216	23	∉̃	∉̃	PROPN
iajs-2702	216	24	(	(	PUNCT
iajs-2702	216	25	ư𝑧	ư𝑧	PROPN
iajs-2702	216	26	,	,	PUNCT
iajs-2702	216	27	ɖ	ɖ	X
iajs-2702	216	28	)	)	PUNCT
iajs-2702	216	29	∧	∧	NOUN
iajs-2702	216	30	(	(	PUNCT
iajs-2702	216	31	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	216	32	)	)	PUNCT
iajs-2702	216	33	z	z	PROPN
iajs-2702	216	34	∈̃	∈̃	PROPN
iajs-2702	216	35	(	(	PUNCT
iajs-2702	216	36	ư𝑧	ư𝑧	ADJ
iajs-2702	216	37	,	,	PUNCT
iajs-2702	216	38	ɖ	ɖ	NOUN
iajs-2702	216	39	)	)	PUNCT
iajs-2702	216	40	.	.	PUNCT
iajs-2702	217	1	then	then	ADV
iajs-2702	217	2	pⅱ	pⅱ	NOUN
iajs-2702	217	3	wins	win	VERB
iajs-2702	217	4	in	in	ADP
iajs-2702	217	5	the	the	DET
iajs-2702	217	6	game	game	NOUN
iajs-2702	217	7	şᶃ(ʈ0	şᶃ(ʈ0	NOUN
iajs-2702	217	8	,	,	PUNCT
iajs-2702	217	9	ӽ	ӽ	X
iajs-2702	217	10	,	,	PUNCT
iajs-2702	217	11	ᶅ	ᶅ	PROPN
iajs-2702	217	12	)	)	PUNCT
iajs-2702	217	13	if	if	SCONJ
iajs-2702	217	14	ƀ	ƀ	PRON
iajs-2702	217	15	=	=	X
iajs-2702	217	16	{	{	PUNCT
iajs-2702	217	17	{	{	PUNCT
iajs-2702	217	18	(	(	PUNCT
iajs-2702	217	19	ƌ1	ƌ1	ADJ
iajs-2702	217	20	,	,	PUNCT
iajs-2702	217	21	ɖ	ɖ	NOUN
iajs-2702	217	22	)	)	PUNCT
iajs-2702	217	23	,	,	PUNCT
iajs-2702	217	24	(	(	PUNCT
iajs-2702	217	25	ư1	ư1	PROPN
iajs-2702	217	26	,	,	PUNCT
iajs-2702	217	27	ɖ)},{(ƌ2	ɖ)},{(ƌ2	NOUN
iajs-2702	217	28	,	,	PUNCT
iajs-2702	217	29	ɖ	ɖ	X
iajs-2702	217	30	)	)	PUNCT
iajs-2702	217	31	,	,	PUNCT
iajs-2702	217	32	(	(	PUNCT
iajs-2702	217	33	ư2	ư2	NOUN
iajs-2702	217	34	,	,	PUNCT
iajs-2702	217	35	ɖ	ɖ	NOUN
iajs-2702	217	36	)	)	PUNCT
iajs-2702	217	37	}	}	PUNCT
iajs-2702	217	38	,	,	PUNCT
iajs-2702	217	39	…	…	PUNCT
iajs-2702	217	40	{	{	PUNCT
iajs-2702	217	41	(	(	PUNCT
iajs-2702	217	42	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	217	43	,	,	PUNCT
iajs-2702	217	44	ɖ	ɖ	NOUN
iajs-2702	217	45	)	)	PUNCT
iajs-2702	217	46	,	,	PUNCT
iajs-2702	217	47	(	(	PUNCT
iajs-2702	217	48	ư𝑧	ư𝑧	ADJ
iajs-2702	217	49	,	,	PUNCT
iajs-2702	217	50	ɖ	ɖ	NOUN
iajs-2702	217	51	)	)	PUNCT
iajs-2702	217	52	}	}	PUNCT
iajs-2702	217	53	…	…	PUNCT
iajs-2702	217	54	...	...	PUNCT
iajs-2702	217	55	}	}	PUNCT
iajs-2702	217	56	is	be	AUX
iajs-2702	217	57	a	a	DET
iajs-2702	217	58	collection	collection	NOUN
iajs-2702	217	59	of	of	ADP
iajs-2702	217	60	a	a	DET
iajs-2702	217	61	soft	soft	ADJ
iajs-2702	217	62	-	-	PUNCT
iajs-2702	217	63	ᶅ𝑝𝑟𝑒	ᶅ𝑝𝑟𝑒	NOUN
iajs-2702	217	64	open	open	ADJ
iajs-2702	217	65	sets	set	NOUN
iajs-2702	217	66	in	in	ADP
iajs-2702	217	67	ӽ	ӽ	DET
iajs-2702	217	68	s.t	s.t	PROPN
iajs-2702	217	69	∀	∀	X
iajs-2702	217	70	(	(	PUNCT
iajs-2702	217	71	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	217	72	,	,	PUNCT
iajs-2702	217	73	(	(	PUNCT
iajs-2702	217	74	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	217	75	∈̃	∈̃	PROPN
iajs-2702	217	76	ӽ	ӽ	NOUN
iajs-2702	217	77	,	,	PUNCT
iajs-2702	217	78	∃	∃	PROPN
iajs-2702	217	79	(	(	PUNCT
iajs-2702	217	80	ƌ𝑧	ƌ𝑧	PROPN
iajs-2702	217	81	,	,	PUNCT
iajs-2702	217	82	ɖ	ɖ	NOUN
iajs-2702	217	83	)	)	PUNCT
iajs-2702	217	84	,	,	PUNCT
iajs-2702	217	85	(	(	PUNCT
iajs-2702	217	86	ư𝑧	ư𝑧	ADJ
iajs-2702	217	87	,	,	PUNCT
iajs-2702	217	88	ɖ	ɖ	X
iajs-2702	217	89	)	)	PUNCT
iajs-2702	217	90	∈	∈	PROPN
iajs-2702	217	91	ƀ	ƀ	X
iajs-2702	217	92	s.t	s.t	PROPN
iajs-2702	217	93	(	(	PUNCT
iajs-2702	217	94	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	217	95	)	)	PUNCT
iajs-2702	217	96	z	z	PROPN
iajs-2702	218	1	∈̃	∈̃	NOUN
iajs-2702	218	2	(	(	PUNCT
iajs-2702	218	3	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	218	4	,	,	PUNCT
iajs-2702	218	5	ɖ	ɖ	NOUN
iajs-2702	218	6	)	)	PUNCT
iajs-2702	218	7	⋀	⋀	PROPN
iajs-2702	218	8	(	(	PUNCT
iajs-2702	218	9	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	218	10	)	)	PUNCT
iajs-2702	218	11	z	z	PROPN
iajs-2702	218	12	∉̃	∉̃	NOUN
iajs-2702	218	13	(	(	PUNCT
iajs-2702	218	14	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	218	15	,	,	PUNCT
iajs-2702	218	16	ɖ	ɖ	NOUN
iajs-2702	218	17	)	)	PUNCT
iajs-2702	218	18	and	and	CCONJ
iajs-2702	218	19	(	(	PUNCT
iajs-2702	218	20	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	218	21	)	)	PUNCT
iajs-2702	218	22	z	z	PROPN
iajs-2702	218	23	∉̃	∉̃	PROPN
iajs-2702	218	24	(	(	PUNCT
iajs-2702	218	25	ư𝑧	ư𝑧	PROPN
iajs-2702	218	26	,	,	PUNCT
iajs-2702	218	27	ɖ	ɖ	X
iajs-2702	218	28	)	)	PUNCT
iajs-2702	218	29	∧	∧	NOUN
iajs-2702	218	30	(	(	PUNCT
iajs-2702	218	31	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	218	32	)	)	PUNCT
iajs-2702	218	33	z	z	PROPN
iajs-2702	218	34	∈̃	∈̃	PROPN
iajs-2702	218	35	(	(	PUNCT
iajs-2702	218	36	ư𝑧	ư𝑧	ADJ
iajs-2702	218	37	,	,	PUNCT
iajs-2702	218	38	ɖ	ɖ	NOUN
iajs-2702	218	39	)	)	PUNCT
iajs-2702	218	40	.	.	PUNCT
iajs-2702	219	1	otherwise	otherwise	ADV
iajs-2702	219	2	,	,	PUNCT
iajs-2702	219	3	pⅰ	pⅰ	NOUN
iajs-2702	219	4	wins	win	VERB
iajs-2702	219	5	in	in	ADP
iajs-2702	219	6	the	the	DET
iajs-2702	219	7	game	game	NOUN
iajs-2702	219	8	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	219	9	,	,	PUNCT
iajs-2702	219	10	ӽ	ӽ	NOUN
iajs-2702	219	11	,	,	PUNCT
iajs-2702	219	12	ᶅ	ᶅ	NOUN
iajs-2702	219	13	)	)	PUNCT
iajs-2702	219	14	.	.	PUNCT
iajs-2702	220	1	example	example	NOUN
iajs-2702	221	1	5.11	5.11	NUM
iajs-2702	221	2	.	.	PUNCT
iajs-2702	222	1	let	let	VERB
iajs-2702	222	2	şᶃ(ʈ1	şᶃ(ʈ1	NOUN
iajs-2702	222	3	,	,	PUNCT
iajs-2702	222	4	ӽ	ӽ	NOUN
iajs-2702	222	5	,	,	PUNCT
iajs-2702	222	6	ᶅ	ᶅ	NOUN
iajs-2702	222	7	)	)	PUNCT
iajs-2702	222	8	be	be	AUX
iajs-2702	222	9	a	a	DET
iajs-2702	222	10	game	game	NOUN
iajs-2702	222	11	whenever	whenever	ADV
iajs-2702	222	12	,	,	PUNCT
iajs-2702	222	13	ӽ	ӽ	X
iajs-2702	222	14	=	=	PRON
iajs-2702	222	15	{	{	PUNCT
iajs-2702	222	16	ᶒ	ᶒ	PROPN
iajs-2702	222	17	,	,	PUNCT
iajs-2702	222	18	ᶆ	ᶆ	PROPN
iajs-2702	222	19	,	,	PUNCT
iajs-2702	222	20	ᶉ	ᶉ	NOUN
iajs-2702	222	21	}	}	PUNCT
iajs-2702	222	22	,	,	PUNCT
iajs-2702	222	23	ʈ=	ʈ=	NOUN
iajs-2702	222	24	şş(ӽ)ɖ	şş(ӽ)ɖ	PROPN
iajs-2702	222	25	,	,	PUNCT
iajs-2702	222	26	ᶅ	ᶅ	X
iajs-2702	222	27	=	=	PRON
iajs-2702	222	28	{	{	PUNCT
iajs-2702	222	29	∅̃	∅̃	NOUN
iajs-2702	222	30	}	}	PUNCT
iajs-2702	222	31	,	,	PUNCT
iajs-2702	222	32	ɖ	ɖ	X
iajs-2702	222	33	=	=	X
iajs-2702	222	34	{	{	PUNCT
iajs-2702	222	35	ᶁ1	ᶁ1	PROPN
iajs-2702	222	36	,	,	PUNCT
iajs-2702	222	37	ᶁ2	ᶁ2	NOUN
iajs-2702	222	38	}	}	PUNCT
iajs-2702	222	39	.	.	PUNCT
iajs-2702	223	1	then	then	ADV
iajs-2702	223	2	ş𝑝𝑜(ӽ	ş𝑝𝑜(ӽ	X
iajs-2702	223	3	)	)	PUNCT
iajs-2702	223	4	=	=	SYM
iajs-2702	223	5	𝑠ᶅ𝑝𝑔­𝐶(ӽ	𝑠ᶅ𝑝𝑔­𝐶(ӽ	PROPN
iajs-2702	223	6	)	)	PUNCT
iajs-2702	223	7	=	=	SYM
iajs-2702	223	8	𝑠ᶅ𝑝𝑔­𝑂(ӽ	𝑠ᶅ𝑝𝑔­𝑂(ӽ	PROPN
iajs-2702	223	9	)	)	PUNCT
iajs-2702	223	10	=	=	SYM
iajs-2702	224	1	şş(ӽ)ɖ	şş(ӽ)ɖ	NOUN
iajs-2702	224	2	.	.	NOUN
iajs-2702	225	1	in	in	ADP
iajs-2702	225	2	the	the	DET
iajs-2702	225	3	first	first	ADJ
iajs-2702	225	4	inning	inning	NOUN
iajs-2702	225	5	:	:	PUNCT
iajs-2702	225	6	the	the	DET
iajs-2702	225	7	first	first	ADJ
iajs-2702	225	8	step	step	NOUN
iajs-2702	225	9	,	,	PUNCT
iajs-2702	225	10	p	p	NOUN
iajs-2702	225	11	ⅰ	ⅰ	X
iajs-2702	225	12	choose	choose	NOUN
iajs-2702	225	13	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	225	14	≠	≠	PROPN
iajs-2702	225	15	ᶁ𝒩	ᶁ𝒩	PROPN
iajs-2702	225	16	whenever	whenever	SCONJ
iajs-2702	225	17	,	,	PUNCT
iajs-2702	225	18	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	225	19	,	,	PUNCT
iajs-2702	225	20	ᶁ𝒩	ᶁ𝒩	PROPN
iajs-2702	225	21	∈̃	∈̃	PROPN
iajs-2702	225	22	ӽ̃	ӽ̃	PROPN
iajs-2702	225	23	s.t	s.t	PROPN
iajs-2702	225	24	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	225	25	=	=	PRON
iajs-2702	225	26	{	{	PUNCT
iajs-2702	225	27	ᶒ	ᶒ	PROPN
iajs-2702	225	28	}	}	PUNCT
iajs-2702	225	29	and	and	CCONJ
iajs-2702	225	30	ᶁ𝒩	ᶁ𝒩	PUNCT
iajs-2702	226	1	=	=	NOUN
iajs-2702	226	2	{	{	PUNCT
iajs-2702	226	3	ᶆ	ᶆ	NOUN
iajs-2702	226	4	}	}	PUNCT
iajs-2702	226	5	in	in	ADP
iajs-2702	226	6	the	the	DET
iajs-2702	226	7	second	second	ADJ
iajs-2702	226	8	step	step	NOUN
iajs-2702	226	9	,	,	PUNCT
iajs-2702	226	10	pⅱ	pⅱ	NOUN
iajs-2702	226	11	choose	choose	NOUN
iajs-2702	226	12	(	(	PUNCT
iajs-2702	226	13	ƌ	ƌ	PROPN
iajs-2702	226	14	,	,	PUNCT
iajs-2702	226	15	ɖ	ɖ	NOUN
iajs-2702	226	16	)	)	PUNCT
iajs-2702	226	17	,	,	PUNCT
iajs-2702	226	18	(	(	PUNCT
iajs-2702	226	19	ư	ư	X
iajs-2702	226	20	,	,	PUNCT
iajs-2702	226	21	ɖ	ɖ	X
iajs-2702	226	22	)	)	PUNCT
iajs-2702	226	23	s.t	s.t	PROPN
iajs-2702	226	24	ƌ(ᶁ	ƌ(ᶁ	PROPN
iajs-2702	226	25	)	)	PUNCT
iajs-2702	226	26	=	=	PRON
iajs-2702	226	27	{	{	PUNCT
iajs-2702	226	28	ᶒ}∀	ᶒ}∀	PROPN
iajs-2702	226	29	ᶁ	ᶁ	PROPN
iajs-2702	226	30	,	,	PUNCT
iajs-2702	226	31	ư(ᶁ	ư(ᶁ	NOUN
iajs-2702	226	32	)	)	PUNCT
iajs-2702	226	33	=	=	PUNCT
iajs-2702	226	34	{	{	PUNCT
iajs-2702	226	35	ᶆ	ᶆ	NOUN
iajs-2702	226	36	}	}	PUNCT
iajs-2702	226	37	∀	∀	NUM
iajs-2702	226	38	ᶁ	ᶁ	NOUN
iajs-2702	226	39	which	which	PRON
iajs-2702	226	40	are	be	AUX
iajs-2702	226	41	𝑠ᶅ𝑝𝑔­𝑜𝑝𝑒𝑛	𝑠ᶅ𝑝𝑔­𝑜𝑝𝑒𝑛	NOUN
iajs-2702	226	42	sets	set	NOUN
iajs-2702	226	43	.	.	PUNCT
iajs-2702	227	1	in	in	ADP
iajs-2702	227	2	the	the	DET
iajs-2702	227	3	second	second	ADJ
iajs-2702	227	4	inning	inning	NOUN
iajs-2702	227	5	:	:	PUNCT
iajs-2702	227	6	the	the	DET
iajs-2702	227	7	first	first	ADJ
iajs-2702	227	8	step	step	NOUN
iajs-2702	227	9	,	,	PUNCT
iajs-2702	227	10	pⅰ	pⅰ	PROPN
iajs-2702	227	11	choose	choose	VERB
iajs-2702	227	12	ᶁ𝒩	ᶁ𝒩	PROPN
iajs-2702	227	13	≠	≠	PROPN
iajs-2702	227	14	ᶁ	ᶁ	ADP
iajs-2702	227	15	whenever	whenever	ADV
iajs-2702	227	16	,	,	PUNCT
iajs-2702	227	17	ᶁ𝒩	ᶁ𝒩	PROPN
iajs-2702	227	18	,	,	PUNCT
iajs-2702	227	19	ᶁ	ᶁ	ADP
iajs-2702	227	20	𝓞	𝓞	DET
iajs-2702	227	21	∈̃	∈̃	PROPN
iajs-2702	227	22	ӽ̃	ӽ̃	PROPN
iajs-2702	227	23	s.t	s.t	PROPN
iajs-2702	227	24	ᶁ𝒩=	ᶁ𝒩=	VERB
iajs-2702	227	25	{	{	PUNCT
iajs-2702	227	26	ᶆ	ᶆ	NOUN
iajs-2702	227	27	}	}	PUNCT
iajs-2702	227	28	and	and	CCONJ
iajs-2702	227	29	ᶁ	ᶁ	ADP
iajs-2702	227	30	𝒪	𝒪	NOUN
iajs-2702	227	31	=	=	PUNCT
iajs-2702	227	32	{	{	PUNCT
iajs-2702	227	33	ᶉ	ᶉ	NOUN
iajs-2702	227	34	}	}	PUNCT
iajs-2702	227	35	.	.	PUNCT
iajs-2702	228	1	in	in	ADP
iajs-2702	228	2	the	the	DET
iajs-2702	228	3	second	second	ADJ
iajs-2702	228	4	step	step	NOUN
iajs-2702	228	5	,	,	PUNCT
iajs-2702	228	6	pⅱ	pⅱ	NOUN
iajs-2702	228	7	choose	choose	NOUN
iajs-2702	228	8	(	(	PUNCT
iajs-2702	228	9	ư	ư	X
iajs-2702	228	10	,	,	PUNCT
iajs-2702	228	11	ɖ	ɖ	NOUN
iajs-2702	228	12	)	)	PUNCT
iajs-2702	228	13	,	,	PUNCT
iajs-2702	228	14	(	(	PUNCT
iajs-2702	228	15	ƈ	ƈ	NOUN
iajs-2702	228	16	,	,	PUNCT
iajs-2702	228	17	ɖ	ɖ	X
iajs-2702	228	18	)	)	PUNCT
iajs-2702	228	19	s.t	s.t	PROPN
iajs-2702	228	20	ư(ᶁ	ư(ᶁ	PROPN
iajs-2702	228	21	)	)	PUNCT
iajs-2702	228	22	=	=	PRON
iajs-2702	228	23	{	{	PUNCT
iajs-2702	228	24	ᶆ}∀	ᶆ}∀	NOUN
iajs-2702	228	25	ᶁ	ᶁ	ADP
iajs-2702	228	26	,	,	PUNCT
iajs-2702	228	27	ƈ(ᶁ	ƈ(ᶁ	PROPN
iajs-2702	228	28	)	)	PUNCT
iajs-2702	228	29	=	=	PRON
iajs-2702	228	30	{	{	PUNCT
iajs-2702	228	31	ᶉ	ᶉ	NOUN
iajs-2702	228	32	}	}	PUNCT
iajs-2702	228	33	∀	∀	NUM
iajs-2702	228	34	ᶁ	ᶁ	NOUN
iajs-2702	228	35	which	which	PRON
iajs-2702	228	36	are	be	AUX
iajs-2702	228	37	𝑠ᶅ𝑝𝑔­𝑜𝑝𝑒𝑛	𝑠ᶅ𝑝𝑔­𝑜𝑝𝑒𝑛	NOUN
iajs-2702	228	38	sets	set	NOUN
iajs-2702	228	39	.	.	PUNCT
iajs-2702	229	1	in	in	ADP
iajs-2702	229	2	the	the	DET
iajs-2702	229	3	third	third	ADJ
iajs-2702	229	4	inning	inning	NOUN
iajs-2702	229	5	:	:	PUNCT
iajs-2702	229	6	the	the	DET
iajs-2702	229	7	first	first	ADJ
iajs-2702	229	8	step	step	NOUN
iajs-2702	229	9	,	,	PUNCT
iajs-2702	229	10	pⅰ	pⅰ	PROPN
iajs-2702	229	11	choose	choose	VERB
iajs-2702	229	12	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	229	13	≠	≠	NOUN
iajs-2702	229	14	ᶁ	ᶁ	ADP
iajs-2702	229	15	𝒪	𝒪	PROPN
iajs-2702	229	16	whenever	whenever	ADV
iajs-2702	229	17	,	,	PUNCT
iajs-2702	229	18	ᶁ	ᶁ	ADP
iajs-2702	229	19	,	,	PUNCT
iajs-2702	229	20	ᶁ𝒪	ᶁ𝒪	NOUN
iajs-2702	229	21	∈̃	∈̃	PROPN
iajs-2702	229	22	ӽ̃	ӽ̃	PROPN
iajs-2702	229	23	s.t	s.t	PROPN
iajs-2702	229	24	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	229	25	=	=	PRON
iajs-2702	229	26	{	{	PUNCT
iajs-2702	229	27	ᶒ	ᶒ	PROPN
iajs-2702	229	28	}	}	PUNCT
iajs-2702	229	29	and	and	CCONJ
iajs-2702	229	30	ᶁ𝒪	ᶁ𝒪	NOUN
iajs-2702	229	31	=	=	PUNCT
iajs-2702	229	32	{	{	PUNCT
iajs-2702	229	33	ᶉ	ᶉ	NOUN
iajs-2702	229	34	}	}	PUNCT
iajs-2702	229	35	.	.	PUNCT
iajs-2702	230	1	in	in	ADP
iajs-2702	230	2	the	the	DET
iajs-2702	230	3	second	second	ADJ
iajs-2702	230	4	step	step	NOUN
iajs-2702	230	5	,	,	PUNCT
iajs-2702	230	6	pⅱ	pⅱ	NOUN
iajs-2702	230	7	chooses	choose	VERB
iajs-2702	230	8	(	(	PUNCT
iajs-2702	230	9	ƌ	ƌ	PROPN
iajs-2702	230	10	,	,	PUNCT
iajs-2702	230	11	ɖ	ɖ	NOUN
iajs-2702	230	12	)	)	PUNCT
iajs-2702	230	13	,	,	PUNCT
iajs-2702	230	14	(	(	PUNCT
iajs-2702	230	15	ƈ	ƈ	NOUN
iajs-2702	230	16	,	,	PUNCT
iajs-2702	230	17	ɖ	ɖ	X
iajs-2702	230	18	)	)	PUNCT
iajs-2702	230	19	s.t	s.t	PROPN
iajs-2702	230	20	ƌ(ᶁ	ƌ(ᶁ	PROPN
iajs-2702	230	21	)	)	PUNCT
iajs-2702	231	1	=	=	PRON
iajs-2702	231	2	{	{	PUNCT
iajs-2702	231	3	ᶒ}∀	ᶒ}∀	PROPN
iajs-2702	231	4	ᶁ	ᶁ	PROPN
iajs-2702	231	5	,	,	PUNCT
iajs-2702	231	6	ƈ(ᶁ	ƈ(ᶁ	PROPN
iajs-2702	231	7	)	)	PUNCT
iajs-2702	231	8	=	=	PRON
iajs-2702	231	9	{	{	PUNCT
iajs-2702	231	10	ᶉ	ᶉ	NOUN
iajs-2702	231	11	}	}	PUNCT
iajs-2702	231	12	∀	∀	NUM
iajs-2702	231	13	ᶁ	ᶁ	NOUN
iajs-2702	231	14	which	which	PRON
iajs-2702	231	15	are	be	AUX
iajs-2702	231	16	𝑠ᶅ𝑝𝑔­𝑜𝑝𝑒𝑛	𝑠ᶅ𝑝𝑔­𝑜𝑝𝑒𝑛	NOUN
iajs-2702	231	17	sets	set	NOUN
iajs-2702	231	18	.	.	PUNCT
iajs-2702	232	1	in	in	ADP
iajs-2702	232	2	the	the	DET
iajs-2702	232	3	fourth	fourth	ADJ
iajs-2702	232	4	inning	inning	NOUN
iajs-2702	232	5	:	:	PUNCT
iajs-2702	232	6	the	the	DET
iajs-2702	232	7	first	first	ADJ
iajs-2702	232	8	step	step	NOUN
iajs-2702	232	9	,	,	PUNCT
iajs-2702	232	10	pⅰ	pⅰ	PROPN
iajs-2702	232	11	chooses	choose	VERB
iajs-2702	232	12	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	232	13	≠	≠	NOUN
iajs-2702	232	14	ᶁ𝓡	ᶁ𝓡	VERB
iajs-2702	232	15	whenever	whenever	ADV
iajs-2702	232	16	,	,	PUNCT
iajs-2702	232	17	ᶁ	ᶁ	ADP
iajs-2702	232	18	,	,	PUNCT
iajs-2702	232	19	ᶁ𝓡	ᶁ𝓡	PROPN
iajs-2702	232	20	∈̃	∈̃	PROPN
iajs-2702	232	21	ӽ̃	ӽ̃	PROPN
iajs-2702	232	22	s.t	s.t	PROPN
iajs-2702	232	23	ᶁ𝓜	ᶁ𝓜	PROPN
iajs-2702	232	24	=	=	PRON
iajs-2702	232	25	{	{	PUNCT
iajs-2702	232	26	ᶒ	ᶒ	PROPN
iajs-2702	232	27	}	}	PUNCT
iajs-2702	232	28	and	and	CCONJ
iajs-2702	232	29	ᶁ𝓡	ᶁ𝓡	PROPN
iajs-2702	232	30	=	=	SYM
iajs-2702	232	31	{	{	PUNCT
iajs-2702	232	32	ᶆ	ᶆ	X
iajs-2702	232	33	,	,	PUNCT
iajs-2702	232	34	ᶉ	ᶉ	NOUN
iajs-2702	232	35	}	}	PUNCT
iajs-2702	232	36	.	.	PUNCT
iajs-2702	233	1	in	in	ADP
iajs-2702	233	2	the	the	DET
iajs-2702	233	3	second	second	ADJ
iajs-2702	233	4	step	step	NOUN
iajs-2702	233	5	,	,	PUNCT
iajs-2702	233	6	p	p	NOUN
iajs-2702	233	7	ⅱ	ⅱ	PROPN
iajs-2702	233	8	chooses	choose	VERB
iajs-2702	233	9	(	(	PUNCT
iajs-2702	233	10	ƌ	ƌ	PROPN
iajs-2702	233	11	,	,	PUNCT
iajs-2702	233	12	ɖ	ɖ	NOUN
iajs-2702	233	13	)	)	PUNCT
iajs-2702	233	14	,	,	PUNCT
iajs-2702	233	15	(	(	PUNCT
iajs-2702	233	16	f	f	X
iajs-2702	233	17	,	,	PUNCT
iajs-2702	233	18	ɖ	ɖ	X
iajs-2702	233	19	)	)	PUNCT
iajs-2702	233	20	s.t	s.t	PROPN
iajs-2702	233	21	ƌ(ᶁ	ƌ(ᶁ	PROPN
iajs-2702	233	22	)	)	PUNCT
iajs-2702	234	1	=	=	PRON
iajs-2702	234	2	{	{	PUNCT
iajs-2702	234	3	ᶒ}∀	ᶒ}∀	PROPN
iajs-2702	234	4	ᶁ	ᶁ	PROPN
iajs-2702	234	5	,	,	PUNCT
iajs-2702	234	6	f(ᶁ	f(ᶁ	PROPN
iajs-2702	234	7	)	)	PUNCT
iajs-2702	234	8	=	=	SYM
iajs-2702	234	9	{	{	PUNCT
iajs-2702	234	10	ᶆ	ᶆ	X
iajs-2702	234	11	,	,	PUNCT
iajs-2702	234	12	ᶉ	ᶉ	NOUN
iajs-2702	234	13	}	}	PUNCT
iajs-2702	234	14	∀	∀	NUM
iajs-2702	234	15	ᶁ	ᶁ	NOUN
iajs-2702	234	16	which	which	PRON
iajs-2702	234	17	are	be	AUX
iajs-2702	234	18	𝑠ᶅ𝑝𝑔­𝑜𝑝𝑒𝑛	𝑠ᶅ𝑝𝑔­𝑜𝑝𝑒𝑛	NOUN
iajs-2702	234	19	sets	set	NOUN
iajs-2702	234	20	.	.	PUNCT
iajs-2702	235	1	in	in	ADP
iajs-2702	235	2	the	the	DET
iajs-2702	235	3	fifth	fifth	ADJ
iajs-2702	235	4	inning	inning	NOUN
iajs-2702	235	5	:	:	PUNCT
iajs-2702	235	6	the	the	DET
iajs-2702	235	7	first	first	ADJ
iajs-2702	235	8	step	step	NOUN
iajs-2702	235	9	,	,	PUNCT
iajs-2702	235	10	pⅰ	pⅰ	PROPN
iajs-2702	235	11	chooses	choose	VERB
iajs-2702	235	12	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	235	13	≠	≠	PROPN
iajs-2702	235	14	ᶁ𝓢	ᶁ𝓢	NOUN
iajs-2702	235	15	whenever	whenever	ADV
iajs-2702	235	16	,	,	PUNCT
iajs-2702	235	17	ᶁ	ᶁ	ADP
iajs-2702	235	18	,	,	PUNCT
iajs-2702	235	19	ᶁ𝓢	ᶁ𝓢	NOUN
iajs-2702	235	20	∈̃	∈̃	NOUN
iajs-2702	235	21	ӽ̃	ӽ̃	PROPN
iajs-2702	235	22	s.t	s.t	PROPN
iajs-2702	235	23	ᶁ𝓝	ᶁ𝓝	PROPN
iajs-2702	235	24	=	=	PUNCT
iajs-2702	235	25	{	{	PUNCT
iajs-2702	235	26	ᶆ	ᶆ	NOUN
iajs-2702	235	27	}	}	PUNCT
iajs-2702	235	28	and	and	CCONJ
iajs-2702	235	29	ᶁ𝓢	ᶁ𝓢	NOUN
iajs-2702	235	30	=	=	SYM
iajs-2702	235	31	{	{	PUNCT
iajs-2702	235	32	ᶒ	ᶒ	PROPN
iajs-2702	235	33	,	,	PUNCT
iajs-2702	235	34	ᶉ	ᶉ	NOUN
iajs-2702	235	35	}	}	PUNCT
iajs-2702	235	36	.	.	PUNCT
iajs-2702	236	1	in	in	ADP
iajs-2702	236	2	the	the	DET
iajs-2702	236	3	second	second	ADJ
iajs-2702	236	4	step	step	NOUN
iajs-2702	236	5	,	,	PUNCT
iajs-2702	236	6	pⅱ	pⅱ	NOUN
iajs-2702	236	7	chooses	choose	VERB
iajs-2702	236	8	(	(	PUNCT
iajs-2702	236	9	ư	ư	X
iajs-2702	236	10	,	,	PUNCT
iajs-2702	236	11	ɖ	ɖ	NOUN
iajs-2702	236	12	)	)	PUNCT
iajs-2702	236	13	,	,	PUNCT
iajs-2702	236	14	(	(	PUNCT
iajs-2702	236	15	ƞ	ƞ	NOUN
iajs-2702	236	16	,	,	PUNCT
iajs-2702	236	17	ɖ	ɖ	X
iajs-2702	236	18	)	)	PUNCT
iajs-2702	236	19	s.t	s.t	PROPN
iajs-2702	236	20	ư(ᶁ	ư(ᶁ	PROPN
iajs-2702	236	21	)	)	PUNCT
iajs-2702	236	22	=	=	PRON
iajs-2702	236	23	{	{	PUNCT
iajs-2702	236	24	ᶆ}∀	ᶆ}∀	NOUN
iajs-2702	236	25	ᶁ	ᶁ	ADP
iajs-2702	236	26	,	,	PUNCT
iajs-2702	236	27	ƞ(ᶁ	ƞ(ᶁ	PROPN
iajs-2702	236	28	)	)	PUNCT
iajs-2702	236	29	=	=	PRON
iajs-2702	236	30	{	{	PUNCT
iajs-2702	236	31	ᶒ	ᶒ	PROPN
iajs-2702	236	32	,	,	PUNCT
iajs-2702	236	33	ᶉ	ᶉ	NOUN
iajs-2702	236	34	}	}	PUNCT
iajs-2702	236	35	∀	∀	NUM
iajs-2702	236	36	ᶁ	ᶁ	NOUN
iajs-2702	236	37	which	which	PRON
iajs-2702	236	38	are	be	AUX
iajs-2702	236	39	𝑠ᶅ𝑝𝑔­𝑜𝑝𝑒𝑛	𝑠ᶅ𝑝𝑔­𝑜𝑝𝑒𝑛	NOUN
iajs-2702	236	40	sets	set	NOUN
iajs-2702	236	41	.	.	PUNCT
iajs-2702	237	1	in	in	ADP
iajs-2702	237	2	the	the	DET
iajs-2702	237	3	sixth	sixth	ADJ
iajs-2702	237	4	inning	inning	NOUN
iajs-2702	237	5	:	:	PUNCT
iajs-2702	237	6	the	the	DET
iajs-2702	237	7	first	first	ADJ
iajs-2702	237	8	step	step	NOUN
iajs-2702	237	9	,	,	PUNCT
iajs-2702	237	10	pⅰ	pⅰ	PROPN
iajs-2702	237	11	chooses	choose	VERB
iajs-2702	237	12	ᶁ𝓞	ᶁ𝓞	NOUN
iajs-2702	237	13	≠	≠	PROPN
iajs-2702	237	14	ᶁ𝓛	ᶁ𝓛	VERB
iajs-2702	237	15	whenever	whenever	ADV
iajs-2702	237	16	,	,	PUNCT
iajs-2702	237	17	ᶁ	ᶁ	X
iajs-2702	237	18	,	,	PUNCT
iajs-2702	237	19	ᶁ𝓛	ᶁ𝓛	PROPN
iajs-2702	237	20	∈̃	∈̃	PROPN
iajs-2702	237	21	ӽ̃	ӽ̃	PROPN
iajs-2702	237	22	s.t	s.t	PROPN
iajs-2702	237	23	ᶁ𝒪	ᶁ𝒪	NOUN
iajs-2702	237	24	=	=	PUNCT
iajs-2702	237	25	{	{	PUNCT
iajs-2702	237	26	ᶉ	ᶉ	NOUN
iajs-2702	237	27	}	}	PUNCT
iajs-2702	237	28	and	and	CCONJ
iajs-2702	237	29	ᶁ𝓛	ᶁ𝓛	NOUN
iajs-2702	237	30	=	=	SYM
iajs-2702	237	31	{	{	PUNCT
iajs-2702	237	32	ᶒ	ᶒ	PROPN
iajs-2702	237	33	,	,	PUNCT
iajs-2702	237	34	ᶆ	ᶆ	NOUN
iajs-2702	237	35	}	}	PUNCT
iajs-2702	237	36	.	.	PUNCT
iajs-2702	238	1	in	in	ADP
iajs-2702	238	2	the	the	DET
iajs-2702	238	3	second	second	ADJ
iajs-2702	238	4	step	step	NOUN
iajs-2702	238	5	,	,	PUNCT
iajs-2702	238	6	pⅱ	pⅱ	NOUN
iajs-2702	238	7	chooses	choose	VERB
iajs-2702	238	8	(	(	PUNCT
iajs-2702	238	9	ƈ	ƈ	NOUN
iajs-2702	238	10	,	,	PUNCT
iajs-2702	238	11	ɖ	ɖ	NOUN
iajs-2702	238	12	)	)	PUNCT
iajs-2702	238	13	,	,	PUNCT
iajs-2702	238	14	(	(	PUNCT
iajs-2702	238	15	ƥ	ƥ	NOUN
iajs-2702	238	16	,	,	PUNCT
iajs-2702	238	17	ɖ	ɖ	X
iajs-2702	238	18	)	)	PUNCT
iajs-2702	238	19	s.t	s.t	PROPN
iajs-2702	238	20	ƈ(ᶁ	ƈ(ᶁ	PROPN
iajs-2702	238	21	)	)	PUNCT
iajs-2702	239	1	=	=	PRON
iajs-2702	239	2	{	{	PUNCT
iajs-2702	239	3	ᶉ	ᶉ	NOUN
iajs-2702	239	4	}	}	PUNCT
iajs-2702	239	5	,	,	PUNCT
iajs-2702	239	6	ƥ(ᶁ	ƥ(ᶁ	PROPN
iajs-2702	239	7	)	)	PUNCT
iajs-2702	239	8	=	=	SYM
iajs-2702	239	9	{	{	PUNCT
iajs-2702	239	10	ᶒ	ᶒ	PROPN
iajs-2702	239	11	,	,	PUNCT
iajs-2702	239	12	ᶆ	ᶆ	NOUN
iajs-2702	239	13	}	}	PUNCT
iajs-2702	239	14	∀	∀	NUM
iajs-2702	239	15	ᶁ	ᶁ	NOUN
iajs-2702	239	16	which	which	PRON
iajs-2702	239	17	are	be	AUX
iajs-2702	239	18	𝑠ᶅ𝑝𝑔­𝑜𝑝𝑒𝑛	𝑠ᶅ𝑝𝑔­𝑜𝑝𝑒𝑛	NOUN
iajs-2702	239	19	sets	set	NOUN
iajs-2702	239	20	.	.	PUNCT
iajs-2702	240	1	then	then	ADV
iajs-2702	240	2	ƀ	ƀ	X
iajs-2702	240	3	=	=	PUNCT
iajs-2702	240	4	{	{	PUNCT
iajs-2702	240	5	{	{	PUNCT
iajs-2702	240	6	(	(	PUNCT
iajs-2702	240	7	ƌ	ƌ	PROPN
iajs-2702	240	8	,	,	PUNCT
iajs-2702	240	9	ɖ	ɖ	NOUN
iajs-2702	240	10	)	)	PUNCT
iajs-2702	240	11	,	,	PUNCT
iajs-2702	240	12	(	(	PUNCT
iajs-2702	240	13	ư	ư	X
iajs-2702	240	14	,	,	PUNCT
iajs-2702	240	15	ɖ	ɖ	NOUN
iajs-2702	240	16	)	)	PUNCT
iajs-2702	240	17	}	}	PUNCT
iajs-2702	240	18	,	,	PUNCT
iajs-2702	240	19	{	{	PUNCT
iajs-2702	240	20	(	(	PUNCT
iajs-2702	240	21	ư	ư	X
iajs-2702	240	22	,	,	PUNCT
iajs-2702	240	23	ɖ	ɖ	NOUN
iajs-2702	240	24	)	)	PUNCT
iajs-2702	240	25	,	,	PUNCT
iajs-2702	240	26	(	(	PUNCT
iajs-2702	240	27	ƈ	ƈ	NOUN
iajs-2702	240	28	,	,	PUNCT
iajs-2702	240	29	ɖ	ɖ	NOUN
iajs-2702	240	30	)	)	PUNCT
iajs-2702	240	31	}	}	PUNCT
iajs-2702	240	32	,	,	PUNCT
iajs-2702	240	33	{	{	PUNCT
iajs-2702	240	34	(	(	PUNCT
iajs-2702	240	35	ƌ	ƌ	PROPN
iajs-2702	240	36	,	,	PUNCT
iajs-2702	240	37	ɖ	ɖ	NOUN
iajs-2702	240	38	)	)	PUNCT
iajs-2702	240	39	,	,	PUNCT
iajs-2702	240	40	(	(	PUNCT
iajs-2702	240	41	ƈ	ƈ	NOUN
iajs-2702	240	42	,	,	PUNCT
iajs-2702	240	43	ɖ)},{(ƌ	ɖ)},{(ƌ	PRON
iajs-2702	240	44	,	,	PUNCT
iajs-2702	240	45	ɖ),(f	ɖ),(f	NOUN
iajs-2702	240	46	,	,	PUNCT
iajs-2702	240	47	ɖ	ɖ	NOUN
iajs-2702	240	48	)	)	PUNCT
iajs-2702	240	49	}	}	PUNCT
iajs-2702	240	50	,	,	PUNCT
iajs-2702	240	51	{	{	PUNCT
iajs-2702	240	52	(	(	PUNCT
iajs-2702	240	53	ư	ư	X
iajs-2702	240	54	,	,	PUNCT
iajs-2702	240	55	ɖ	ɖ	NOUN
iajs-2702	240	56	)	)	PUNCT
iajs-2702	240	57	,	,	PUNCT
iajs-2702	240	58	(	(	PUNCT
iajs-2702	240	59	ƞ	ƞ	NOUN
iajs-2702	240	60	,	,	PUNCT
iajs-2702	240	61	ɖ	ɖ	NOUN
iajs-2702	240	62	)	)	PUNCT
iajs-2702	240	63	}	}	PUNCT
iajs-2702	240	64	,	,	PUNCT
iajs-2702	240	65	{	{	PUNCT
iajs-2702	240	66	(	(	PUNCT
iajs-2702	240	67	ƈ	ƈ	NOUN
iajs-2702	240	68	,	,	PUNCT
iajs-2702	240	69	ɖ	ɖ	NOUN
iajs-2702	240	70	)	)	PUNCT
iajs-2702	240	71	,	,	PUNCT
iajs-2702	240	72	(	(	PUNCT
iajs-2702	240	73	ƥ	ƥ	X
iajs-2702	240	74	,	,	PUNCT
iajs-2702	240	75	ɖ	ɖ	NOUN
iajs-2702	240	76	)	)	PUNCT
iajs-2702	240	77	}	}	PUNCT
iajs-2702	240	78	}	}	PUNCT
iajs-2702	240	79	.	.	PUNCT
iajs-2702	241	1	is	be	AUX
iajs-2702	241	2	the	the	DET
iajs-2702	241	3	winning	win	VERB
iajs-2702	241	4	strategy	strategy	NOUN
iajs-2702	241	5	for	for	ADP
iajs-2702	241	6	pⅱ	pⅱ	NOUN
iajs-2702	241	7	in	in	ADP
iajs-2702	241	8	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	241	9	,	,	PUNCT
iajs-2702	241	10	ӽ	ӽ	X
iajs-2702	241	11	,	,	PUNCT
iajs-2702	241	12	ᶅ	ᶅ	NOUN
iajs-2702	241	13	)	)	PUNCT
iajs-2702	241	14	.	.	PUNCT
iajs-2702	242	1	hence	hence	ADV
iajs-2702	242	2	player	player	NOUN
iajs-2702	242	3	ⅱ	ⅱ	PROPN
iajs-2702	242	4	↑	↑	PROPN
iajs-2702	242	5	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	242	6	,	,	PUNCT
iajs-2702	242	7	ӽ	ӽ	X
iajs-2702	242	8	,	,	PUNCT
iajs-2702	242	9	ᶅ	ᶅ	NOUN
iajs-2702	242	10	)	)	PUNCT
iajs-2702	242	11	.	.	PUNCT
iajs-2702	243	1	by	by	ADP
iajs-2702	243	2	the	the	DET
iajs-2702	243	3	same	same	ADJ
iajs-2702	243	4	way	way	NOUN
iajs-2702	243	5	in	in	ADP
iajs-2702	243	6	example	example	NOUN
iajs-2702	243	7	5.3	5.3	NUM
iajs-2702	243	8	,	,	PUNCT
iajs-2702	243	9	pⅰ	pⅰ	PROPN
iajs-2702	243	10	↑	↑	NOUN
iajs-2702	243	11	şᶃ(ʈ1	şᶃ(ʈ1	NOUN
iajs-2702	243	12	,	,	PUNCT
iajs-2702	243	13	ӽ	ӽ	X
iajs-2702	243	14	,	,	PUNCT
iajs-2702	243	15	ᶅ	ᶅ	NOUN
iajs-2702	243	16	)	)	PUNCT
iajs-2702	243	17	.	.	PUNCT
iajs-2702	244	1	remark	remark	PROPN
iajs-2702	244	2	5.12	5.12	NUM
iajs-2702	244	3	.	.	PUNCT
iajs-2702	245	1	for	for	ADP
iajs-2702	245	2	a	a	DET
iajs-2702	245	3	space	space	NOUN
iajs-2702	245	4	(	(	PUNCT
iajs-2702	245	5	ӽ	ӽ	X
iajs-2702	245	6	,	,	PUNCT
iajs-2702	245	7	ʈ	ʈ	X
iajs-2702	245	8	,	,	PUNCT
iajs-2702	245	9	ɖ	ɖ	NOUN
iajs-2702	245	10	,	,	PUNCT
iajs-2702	245	11	ᶅ	ᶅ	NOUN
iajs-2702	245	12	)	)	PUNCT
iajs-2702	245	13	:	:	PUNCT
iajs-2702	245	14	iif	iif	PROPN
iajs-2702	245	15	pⅱ	pⅱ	PROPN
iajs-2702	245	16	↑	↑	PROPN
iajs-2702	245	17	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	245	18	,	,	PUNCT
iajs-2702	245	19	ӽ	ӽ	X
iajs-2702	245	20	)	)	PUNCT
iajs-2702	245	21	then	then	ADV
iajs-2702	245	22	pⅱ	pⅱ	PROPN
iajs-2702	245	23	↑	↑	PROPN
iajs-2702	245	24	şᶃ(ʈ1,ӽ	şᶃ(ʈ1,ӽ	PROPN
iajs-2702	245	25	,	,	PUNCT
iajs-2702	245	26	ᶅ	ᶅ	NOUN
iajs-2702	245	27	)	)	PUNCT
iajs-2702	245	28	.	.	PUNCT
iajs-2702	246	1	iiif	iiif	PROPN
iajs-2702	246	2	pⅰ	pⅰ	PROPN
iajs-2702	246	3	↑	↑	PROPN
iajs-2702	246	4	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	246	5	ӽ	ӽ	NOUN
iajs-2702	246	6	,	,	PUNCT
iajs-2702	246	7	,	,	PUNCT
iajs-2702	246	8	ᶅ	ᶅ	X
iajs-2702	246	9	)	)	PUNCT
iajs-2702	246	10	then	then	ADV
iajs-2702	246	11	pⅰ	pⅰ	PROPN
iajs-2702	246	12	↑	↑	PROPN
iajs-2702	246	13	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	246	14	,	,	PUNCT
iajs-2702	246	15	ӽ	ӽ	X
iajs-2702	246	16	)	)	PUNCT
iajs-2702	246	17	.	.	PUNCT
iajs-2702	247	1	remark	remark	PROPN
iajs-2702	247	2	5.13	5.13	NUM
iajs-2702	247	3	.	.	PUNCT
iajs-2702	248	1	for	for	ADP
iajs-2702	248	2	a	a	DET
iajs-2702	248	3	space	space	NOUN
iajs-2702	248	4	(	(	PUNCT
iajs-2702	248	5	ӽ	ӽ	X
iajs-2702	248	6	,	,	PUNCT
iajs-2702	248	7	ʈ	ʈ	X
iajs-2702	248	8	,	,	PUNCT
iajs-2702	248	9	ɖ	ɖ	NOUN
iajs-2702	248	10	,	,	PUNCT
iajs-2702	248	11	ᶅ	ᶅ	NOUN
iajs-2702	248	12	)	)	PUNCT
iajs-2702	248	13	,	,	PUNCT
iajs-2702	248	14	if	if	SCONJ
iajs-2702	248	15	pⅱ	pⅱ	PROPN
iajs-2702	248	16	↓	↓	PROPN
iajs-2702	248	17	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	248	18	,	,	PUNCT
iajs-2702	248	19	ӽ	ӽ	X
iajs-2702	248	20	)	)	PUNCT
iajs-2702	248	21	then	then	ADV
iajs-2702	248	22	pⅱ	pⅱ	NOUN
iajs-2702	248	23	↓	↓	PROPN
iajs-2702	248	24	şᶃ(ʈ1,ӽ	şᶃ(ʈ1,ӽ	PROPN
iajs-2702	248	25	,	,	PUNCT
iajs-2702	248	26	ᶅ	ᶅ	NOUN
iajs-2702	248	27	)	)	PUNCT
iajs-2702	248	28	.	.	PUNCT
iajs-2702	249	1	ibn	ibn	PROPN
iajs-2702	249	2	al	al	PROPN
iajs-2702	249	3	-	-	PUNCT
iajs-2702	249	4	haitham	haitham	PROPN
iajs-2702	249	5	jour	jour	X
iajs-2702	249	6	.	.	PROPN
iajs-2702	249	7	for	for	ADP
iajs-2702	249	8	pure	pure	ADJ
iajs-2702	249	9	&	&	CCONJ
iajs-2702	249	10	appl	appl	PROPN
iajs-2702	249	11	.	.	PUNCT
iajs-2702	250	1	sci	sci	PROPN
iajs-2702	250	2	.	.	PROPN
iajs-2702	251	1	34(4)2021	34(4)2021	NUM
iajs-2702	251	2	54	54	NUM
iajs-2702	251	3	theorem	theorem	VERB
iajs-2702	251	4	5.14	5.14	NUM
iajs-2702	251	5	.	.	PUNCT
iajs-2702	252	1	a	a	DET
iajs-2702	252	2	space	space	NOUN
iajs-2702	252	3	(	(	PUNCT
iajs-2702	252	4	ӽ	ӽ	X
iajs-2702	252	5	,	,	PUNCT
iajs-2702	252	6	ʈ	ʈ	X
iajs-2702	252	7	,	,	PUNCT
iajs-2702	252	8	ɖ	ɖ	NOUN
iajs-2702	252	9	,	,	PUNCT
iajs-2702	252	10	ᶅ	ᶅ	NOUN
iajs-2702	252	11	)	)	PUNCT
iajs-2702	252	12	is	be	AUX
iajs-2702	252	13	a	a	DET
iajs-2702	252	14	𝑠ᶅ𝑝𝑔-ʈ1­space	𝑠ᶅ𝑝𝑔-ʈ1­space	NOUN
iajs-2702	252	15	)	)	PUNCT
iajs-2702	252	16	if	if	SCONJ
iajs-2702	252	17	and	and	CCONJ
iajs-2702	252	18	only	only	ADV
iajs-2702	252	19	if	if	SCONJ
iajs-2702	252	20	pⅱ	pⅱ	PROPN
iajs-2702	252	21	↑	↑	PROPN
iajs-2702	252	22	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	252	23	,	,	PUNCT
iajs-2702	252	24	ӽ	ӽ	X
iajs-2702	252	25	,	,	PUNCT
iajs-2702	252	26	ᶅ	ᶅ	NOUN
iajs-2702	252	27	)	)	PUNCT
iajs-2702	252	28	.	.	PUNCT
iajs-2702	253	1	proof	proof	NOUN
iajs-2702	253	2	:	:	PUNCT
iajs-2702	253	3	(	(	PUNCT
iajs-2702	253	4	⟹	⟹	X
iajs-2702	253	5	)	)	PUNCT
iajs-2702	253	6	in	in	ADP
iajs-2702	253	7	the	the	DET
iajs-2702	253	8	𝑧-th	𝑧-th	PROPN
iajs-2702	253	9	inning	inne	VERB
iajs-2702	253	10	pⅰ	pⅰ	NOUN
iajs-2702	253	11	in	in	ADP
iajs-2702	253	12	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	253	13	,	,	PUNCT
iajs-2702	253	14	ӽ	ӽ	X
iajs-2702	253	15	,	,	PUNCT
iajs-2702	253	16	ᶅ	ᶅ	NOUN
iajs-2702	253	17	)	)	PUNCT
iajs-2702	253	18	choose(ᶁℳ)𝑧	choose(ᶁℳ)𝑧	NOUN
iajs-2702	253	19	≠	≠	PROPN
iajs-2702	253	20	(	(	PUNCT
iajs-2702	253	21	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	253	22	whenever	whenever	SCONJ
iajs-2702	253	23	,	,	PUNCT
iajs-2702	253	24	(	(	PUNCT
iajs-2702	253	25	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	253	26	,	,	PUNCT
iajs-2702	253	27	(	(	PUNCT
iajs-2702	253	28	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	253	29	∈̃	∈̃	PROPN
iajs-2702	253	30	ӽ̃	ӽ̃	PROPN
iajs-2702	253	31	,	,	PUNCT
iajs-2702	253	32	pⅱ	pⅱ	NOUN
iajs-2702	253	33	in	in	ADP
iajs-2702	253	34	şᶃ(ʈ0	şᶃ(ʈ0	NOUN
iajs-2702	253	35	,	,	PUNCT
iajs-2702	253	36	ӽ	ӽ	X
iajs-2702	253	37	,	,	PUNCT
iajs-2702	253	38	ᶅ	ᶅ	NOUN
iajs-2702	253	39	)	)	PUNCT
iajs-2702	253	40	choose	choose	VERB
iajs-2702	253	41	(	(	PUNCT
iajs-2702	253	42	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	253	43	,	,	PUNCT
iajs-2702	253	44	ɖ	ɖ	NOUN
iajs-2702	253	45	)	)	PUNCT
iajs-2702	253	46	,	,	PUNCT
iajs-2702	253	47	(	(	PUNCT
iajs-2702	253	48	ƞ𝑧	ƞ𝑧	X
iajs-2702	253	49	,	,	PUNCT
iajs-2702	253	50	ɖ	ɖ	X
iajs-2702	253	51	)	)	PUNCT
iajs-2702	253	52	are	be	AUX
iajs-2702	253	53	two	two	NUM
iajs-2702	253	54	𝑠ᶅ𝑝𝑔-open	𝑠ᶅ𝑝𝑔-open	ADJ
iajs-2702	253	55	sets	set	NOUN
iajs-2702	253	56	s.t	s.t	PROPN
iajs-2702	253	57	(	(	PUNCT
iajs-2702	253	58	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	253	59	∈̃	∈̃	PROPN
iajs-2702	253	60	(	(	PUNCT
iajs-2702	253	61	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	253	62	,	,	PUNCT
iajs-2702	253	63	ɖ	ɖ	NOUN
iajs-2702	253	64	)	)	PUNCT
iajs-2702	253	65	∧	∧	PROPN
iajs-2702	253	66	(	(	PUNCT
iajs-2702	253	67	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	253	68	∉̃	∉̃	PROPN
iajs-2702	253	69	(	(	PUNCT
iajs-2702	253	70	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	253	71	,	,	PUNCT
iajs-2702	253	72	ɖ	ɖ	NOUN
iajs-2702	253	73	)	)	PUNCT
iajs-2702	253	74	and	and	CCONJ
iajs-2702	253	75	(	(	PUNCT
iajs-2702	253	76	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	253	77	∈̃	∈̃	PROPN
iajs-2702	253	78	,	,	PUNCT
iajs-2702	253	79	(	(	PUNCT
iajs-2702	253	80	ƞ𝑧	ƞ𝑧	X
iajs-2702	253	81	,	,	PUNCT
iajs-2702	253	82	ɖ	ɖ	NOUN
iajs-2702	253	83	)	)	PUNCT
iajs-2702	253	84	∧	∧	NOUN
iajs-2702	253	85	(	(	PUNCT
iajs-2702	253	86	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	253	87	∉̃	∉̃	ADJ
iajs-2702	253	88	(	(	PUNCT
iajs-2702	253	89	ƞ𝑧	ƞ𝑧	ADJ
iajs-2702	253	90	,	,	PUNCT
iajs-2702	253	91	ɖ	ɖ	NOUN
iajs-2702	253	92	)	)	PUNCT
iajs-2702	253	93	since(ӽ	since(ӽ	PROPN
iajs-2702	253	94	,	,	PUNCT
iajs-2702	253	95	ʈ	ʈ	X
iajs-2702	253	96	,	,	PUNCT
iajs-2702	253	97	ɖ	ɖ	X
iajs-2702	253	98	,	,	PUNCT
iajs-2702	253	99	ᶅ)is	ᶅ)is	PROPN
iajs-2702	253	100	a	a	DET
iajs-2702	253	101	𝑠ᶅ𝑝𝑔-ʈ1­space	𝑠ᶅ𝑝𝑔-ʈ1­space	NOUN
iajs-2702	253	102	.	.	PUNCT
iajs-2702	254	1	then	then	ADV
iajs-2702	254	2	ƀ	ƀ	X
iajs-2702	254	3	=	=	PUNCT
iajs-2702	254	4	{	{	PUNCT
iajs-2702	254	5	{	{	PUNCT
iajs-2702	254	6	(	(	PUNCT
iajs-2702	254	7	ƌ1	ƌ1	ADJ
iajs-2702	254	8	,	,	PUNCT
iajs-2702	254	9	ɖ	ɖ	NOUN
iajs-2702	254	10	)	)	PUNCT
iajs-2702	254	11	,	,	PUNCT
iajs-2702	254	12	(	(	PUNCT
iajs-2702	254	13	ƞ1	ƞ1	NOUN
iajs-2702	254	14	,	,	PUNCT
iajs-2702	254	15	ɖ	ɖ	NOUN
iajs-2702	254	16	)	)	PUNCT
iajs-2702	254	17	}	}	PUNCT
iajs-2702	254	18	,	,	PUNCT
iajs-2702	254	19	{	{	PUNCT
iajs-2702	254	20	(	(	PUNCT
iajs-2702	254	21	ƌ2	ƌ2	NOUN
iajs-2702	254	22	,	,	PUNCT
iajs-2702	254	23	ɖ	ɖ	NOUN
iajs-2702	254	24	)	)	PUNCT
iajs-2702	254	25	,	,	PUNCT
iajs-2702	254	26	(	(	PUNCT
iajs-2702	254	27	ƞ2	ƞ2	NOUN
iajs-2702	254	28	,	,	PUNCT
iajs-2702	254	29	ɖ	ɖ	NOUN
iajs-2702	254	30	)	)	PUNCT
iajs-2702	254	31	}	}	PUNCT
iajs-2702	254	32	,	,	PUNCT
iajs-2702	254	33	…	…	PUNCT
iajs-2702	254	34	,	,	PUNCT
iajs-2702	254	35	{	{	PUNCT
iajs-2702	254	36	(	(	PUNCT
iajs-2702	254	37	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	254	38	,	,	PUNCT
iajs-2702	254	39	ɖ	ɖ	NOUN
iajs-2702	254	40	)	)	PUNCT
iajs-2702	254	41	,	,	PUNCT
iajs-2702	254	42	(	(	PUNCT
iajs-2702	254	43	ƞ𝑧	ƞ𝑧	X
iajs-2702	254	44	,	,	PUNCT
iajs-2702	254	45	ɖ	ɖ	NOUN
iajs-2702	254	46	)	)	PUNCT
iajs-2702	254	47	}	}	PUNCT
iajs-2702	254	48	,	,	PUNCT
iajs-2702	254	49	…	…	PUNCT
iajs-2702	254	50	}	}	PUNCT
iajs-2702	254	51	is	be	AUX
iajs-2702	254	52	the	the	DET
iajs-2702	254	53	winning	win	VERB
iajs-2702	254	54	strategy	strategy	NOUN
iajs-2702	254	55	for	for	ADP
iajs-2702	254	56	pⅱ	pⅱ	NOUN
iajs-2702	254	57	in	in	ADP
iajs-2702	254	58	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	254	59	,	,	PUNCT
iajs-2702	254	60	ӽ	ӽ	X
iajs-2702	254	61	,	,	PUNCT
iajs-2702	254	62	ᶅ	ᶅ	NOUN
iajs-2702	254	63	)	)	PUNCT
iajs-2702	254	64	.	.	PUNCT
iajs-2702	255	1	hence	hence	ADV
iajs-2702	255	2	pⅱ	pⅱ	PROPN
iajs-2702	255	3	↑	↑	PROPN
iajs-2702	255	4	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	255	5	,	,	PUNCT
iajs-2702	255	6	ӽ	ӽ	X
iajs-2702	255	7	,	,	PUNCT
iajs-2702	255	8	ᶅ	ᶅ	NOUN
iajs-2702	255	9	)	)	PUNCT
iajs-2702	255	10	.	.	PUNCT
iajs-2702	256	1	(	(	PUNCT
iajs-2702	256	2	⟸	⟸	ADJ
iajs-2702	256	3	)	)	PUNCT
iajs-2702	256	4	clear	clear	ADJ
iajs-2702	256	5	.	.	PUNCT
iajs-2702	257	1	corollary	corollary	ADJ
iajs-2702	257	2	5.15	5.15	NUM
iajs-2702	257	3	.	.	PUNCT
iajs-2702	258	1	a	a	DET
iajs-2702	258	2	space	space	NOUN
iajs-2702	258	3	(	(	PUNCT
iajs-2702	258	4	ӽ	ӽ	X
iajs-2702	258	5	,	,	PUNCT
iajs-2702	258	6	ʈ	ʈ	X
iajs-2702	258	7	,	,	PUNCT
iajs-2702	258	8	ɖ	ɖ	NOUN
iajs-2702	258	9	,	,	PUNCT
iajs-2702	258	10	ᶅ	ᶅ	NOUN
iajs-2702	258	11	)	)	PUNCT
iajs-2702	258	12	is	be	AUX
iajs-2702	258	13	a	a	DET
iajs-2702	258	14	𝑠ᶅ𝑝𝑔-ʈ1­space	𝑠ᶅ𝑝𝑔-ʈ1­space	NOUN
iajs-2702	258	15	if	if	SCONJ
iajs-2702	258	16	and	and	CCONJ
iajs-2702	258	17	only	only	ADV
iajs-2702	258	18	if	if	SCONJ
iajs-2702	258	19	pⅰ	pⅰ	PROPN
iajs-2702	258	20	⤉	⤉	VERB
iajs-2702	258	21	şᶃ(ʈ1	şᶃ(ʈ1	NOUN
iajs-2702	258	22	,	,	PUNCT
iajs-2702	258	23	ӽ	ӽ	PRON
iajs-2702	258	24	,	,	PUNCT
iajs-2702	258	25	ᶅ	ᶅ	NOUN
iajs-2702	258	26	)	)	PUNCT
iajs-2702	258	27	.	.	PUNCT
iajs-2702	259	1	proof	proof	NOUN
iajs-2702	259	2	:	:	PUNCT
iajs-2702	259	3	by	by	ADP
iajs-2702	259	4	theorem	theorem	NOUN
iajs-2702	259	5	5.14	5.14	NUM
iajs-2702	259	6	,	,	PUNCT
iajs-2702	259	7	the	the	DET
iajs-2702	259	8	proof	proof	NOUN
iajs-2702	259	9	is	be	AUX
iajs-2702	259	10	over	over	ADV
iajs-2702	259	11	.	.	PUNCT
iajs-2702	260	1	theorem	theorem	VERB
iajs-2702	260	2	5.16	5.16	NUM
iajs-2702	260	3	.	.	PUNCT
iajs-2702	261	1	for	for	ADP
iajs-2702	261	2	a	a	DET
iajs-2702	261	3	space	space	NOUN
iajs-2702	261	4	(	(	PUNCT
iajs-2702	261	5	ӽ	ӽ	X
iajs-2702	261	6	,	,	PUNCT
iajs-2702	261	7	ʈ	ʈ	X
iajs-2702	261	8	,	,	PUNCT
iajs-2702	261	9	ɖ	ɖ	NOUN
iajs-2702	261	10	,	,	PUNCT
iajs-2702	261	11	ᶅ	ᶅ	NOUN
iajs-2702	261	12	):	):	PUNCT
iajs-2702	261	13	a	a	DET
iajs-2702	261	14	space	space	NOUN
iajs-2702	261	15	(	(	PUNCT
iajs-2702	261	16	ӽ	ӽ	X
iajs-2702	261	17	,	,	PUNCT
iajs-2702	261	18	ʈ	ʈ	X
iajs-2702	261	19	,	,	PUNCT
iajs-2702	261	20	ɖ	ɖ	NOUN
iajs-2702	261	21	,	,	PUNCT
iajs-2702	261	22	ᶅ	ᶅ	NOUN
iajs-2702	261	23	)	)	PUNCT
iajs-2702	261	24	is	be	AUX
iajs-2702	261	25	not	not	PART
iajs-2702	261	26	𝑠ᶅ𝑝𝑔-ʈ1­space	𝑠ᶅ𝑝𝑔-ʈ1­space	NOUN
iajs-2702	261	27	if	if	SCONJ
iajs-2702	261	28	and	and	CCONJ
iajs-2702	261	29	only	only	ADV
iajs-2702	261	30	if	if	SCONJ
iajs-2702	261	31	pⅰ	pⅰ	PROPN
iajs-2702	261	32	↑	↑	PROPN
iajs-2702	261	33	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	261	34	,	,	PUNCT
iajs-2702	261	35	ӽ,ᶅ	ӽ,ᶅ	NOUN
iajs-2702	261	36	)	)	PUNCT
iajs-2702	261	37	.	.	PUNCT
iajs-2702	262	1	proof:(⟹	proof:(⟹	NOUN
iajs-2702	262	2	)	)	PUNCT
iajs-2702	262	3	in	in	ADP
iajs-2702	262	4	the	the	DET
iajs-2702	262	5	𝑧-th	𝑧-th	PROPN
iajs-2702	262	6	inning	inne	VERB
iajs-2702	262	7	𝑃ⅰ	𝑃ⅰ	PROPN
iajs-2702	262	8	in	in	ADP
iajs-2702	262	9	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	262	10	,	,	PUNCT
iajs-2702	262	11	ӽ	ӽ	X
iajs-2702	262	12	,	,	PUNCT
iajs-2702	262	13	ᶅ	ᶅ	NOUN
iajs-2702	262	14	)	)	PUNCT
iajs-2702	262	15	choose(ᶁℳ)𝑧	choose(ᶁℳ)𝑧	NOUN
iajs-2702	262	16	≠	≠	PROPN
iajs-2702	262	17	(	(	PUNCT
iajs-2702	262	18	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	262	19	whenever	whenever	SCONJ
iajs-2702	262	20	,	,	PUNCT
iajs-2702	262	21	(	(	PUNCT
iajs-2702	262	22	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	262	23	,	,	PUNCT
iajs-2702	262	24	(	(	PUNCT
iajs-2702	262	25	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	262	26	∈̃	∈̃	PROPN
iajs-2702	262	27	ӽ̃	ӽ̃	PROPN
iajs-2702	262	28	,	,	PUNCT
iajs-2702	262	29	𝑃ⅱ	𝑃ⅱ	AUX
iajs-2702	262	30	in	in	ADP
iajs-2702	262	31	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	262	32	,	,	PUNCT
iajs-2702	262	33	ӽ	ӽ	X
iajs-2702	262	34	,	,	PUNCT
iajs-2702	262	35	ᶅ	ᶅ	PROPN
iajs-2702	262	36	)	)	PUNCT
iajs-2702	262	37	can	can	AUX
iajs-2702	262	38	not	not	PART
iajs-2702	262	39	find	find	VERB
iajs-2702	262	40	(	(	PUNCT
iajs-2702	262	41	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	262	42	,	,	PUNCT
iajs-2702	262	43	ɖ	ɖ	NOUN
iajs-2702	262	44	)	)	PUNCT
iajs-2702	262	45	,	,	PUNCT
iajs-2702	262	46	(	(	PUNCT
iajs-2702	262	47	ƞ𝑧	ƞ𝑧	X
iajs-2702	262	48	,	,	PUNCT
iajs-2702	262	49	ɖ	ɖ	X
iajs-2702	262	50	)	)	PUNCT
iajs-2702	262	51	are	be	AUX
iajs-2702	262	52	two	two	NUM
iajs-2702	262	53	𝑠ᶅ𝑝𝑔-open	𝑠ᶅ𝑝𝑔-open	ADJ
iajs-2702	262	54	sets	set	NOUN
iajs-2702	262	55	s.t	s.t	PROPN
iajs-2702	262	56	(	(	PUNCT
iajs-2702	262	57	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	262	58	∈̃	∈̃	PROPN
iajs-2702	262	59	(	(	PUNCT
iajs-2702	262	60	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	262	61	,	,	PUNCT
iajs-2702	262	62	ɖ	ɖ	NOUN
iajs-2702	262	63	)	)	PUNCT
iajs-2702	262	64	∧	∧	PROPN
iajs-2702	262	65	(	(	PUNCT
iajs-2702	262	66	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	262	67	∉̃	∉̃	PROPN
iajs-2702	262	68	(	(	PUNCT
iajs-2702	262	69	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	262	70	,	,	PUNCT
iajs-2702	262	71	ɖ	ɖ	NOUN
iajs-2702	262	72	)	)	PUNCT
iajs-2702	262	73	and	and	CCONJ
iajs-2702	262	74	(	(	PUNCT
iajs-2702	262	75	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	262	76	∈̃	∈̃	PROPN
iajs-2702	262	77	,	,	PUNCT
iajs-2702	262	78	(	(	PUNCT
iajs-2702	262	79	ƞ𝑧	ƞ𝑧	X
iajs-2702	262	80	,	,	PUNCT
iajs-2702	262	81	ɖ	ɖ	NOUN
iajs-2702	262	82	)	)	PUNCT
iajs-2702	262	83	∧	∧	NOUN
iajs-2702	262	84	(	(	PUNCT
iajs-2702	262	85	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	262	86	∉̃	∉̃	ADJ
iajs-2702	262	87	(	(	PUNCT
iajs-2702	262	88	ƞ𝑧	ƞ𝑧	ADJ
iajs-2702	262	89	,	,	PUNCT
iajs-2702	262	90	ɖ	ɖ	NOUN
iajs-2702	262	91	)	)	PUNCT
iajs-2702	262	92	because	because	SCONJ
iajs-2702	262	93	(	(	PUNCT
iajs-2702	262	94	ӽ	ӽ	X
iajs-2702	262	95	,	,	PUNCT
iajs-2702	262	96	ʈ	ʈ	X
iajs-2702	262	97	,	,	PUNCT
iajs-2702	262	98	ɖ	ɖ	NOUN
iajs-2702	262	99	,	,	PUNCT
iajs-2702	262	100	ᶅ	ᶅ	NOUN
iajs-2702	262	101	)	)	PUNCT
iajs-2702	262	102	is	be	AUX
iajs-2702	262	103	not	not	PART
iajs-2702	262	104	𝑠ᶅ𝑝𝑔-ʈ1­space	𝑠ᶅ𝑝𝑔-ʈ1­space	NOUN
iajs-2702	262	105	.	.	PUNCT
iajs-2702	263	1	hence	hence	ADV
iajs-2702	263	2	pⅰ	pⅰ	PROPN
iajs-2702	263	3	↑	↑	PROPN
iajs-2702	263	4	şᶃ(ʈ1	şᶃ(ʈ1	NOUN
iajs-2702	263	5	,	,	PUNCT
iajs-2702	263	6	ӽ	ӽ	X
iajs-2702	263	7	,	,	PUNCT
iajs-2702	263	8	ᶅ	ᶅ	NOUN
iajs-2702	263	9	)	)	PUNCT
iajs-2702	263	10	.	.	PUNCT
iajs-2702	264	1	(	(	PUNCT
iajs-2702	264	2	⟸	⟸	ADJ
iajs-2702	264	3	)	)	PUNCT
iajs-2702	264	4	clear	clear	ADJ
iajs-2702	264	5	.	.	PUNCT
iajs-2702	265	1	corollary	corollary	ADJ
iajs-2702	265	2	5.17	5.17	NUM
iajs-2702	265	3	.	.	PUNCT
iajs-2702	266	1	if	if	SCONJ
iajs-2702	266	2	a	a	DET
iajs-2702	266	3	space	space	NOUN
iajs-2702	266	4	(	(	PUNCT
iajs-2702	266	5	ӽ	ӽ	X
iajs-2702	266	6	,	,	PUNCT
iajs-2702	266	7	ʈ	ʈ	X
iajs-2702	266	8	,	,	PUNCT
iajs-2702	266	9	ɖ	ɖ	NOUN
iajs-2702	266	10	,	,	PUNCT
iajs-2702	266	11	ᶅ	ᶅ	NOUN
iajs-2702	266	12	)	)	PUNCT
iajs-2702	266	13	is	be	AUX
iajs-2702	266	14	not	not	PART
iajs-2702	266	15	𝑠ᶅ𝑝𝑔-ʈ1­space	𝑠ᶅ𝑝𝑔-ʈ1­space	NOUN
iajs-2702	266	16	if	if	SCONJ
iajs-2702	266	17	and	and	CCONJ
iajs-2702	266	18	only	only	ADV
iajs-2702	266	19	if	if	SCONJ
iajs-2702	266	20	𝑃ⅱ	𝑃ⅱ	ADJ
iajs-2702	266	21	⤉	⤉	VERB
iajs-2702	266	22	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	266	23	ӽ	ӽ	NOUN
iajs-2702	266	24	,	,	PUNCT
iajs-2702	266	25	,	,	PUNCT
iajs-2702	266	26	ᶅ	ᶅ	NOUN
iajs-2702	266	27	)	)	PUNCT
iajs-2702	266	28	.	.	PUNCT
iajs-2702	267	1	proof	proof	NOUN
iajs-2702	267	2	:	:	PUNCT
iajs-2702	267	3	similar	similar	ADJ
iajs-2702	267	4	way	way	NOUN
iajs-2702	267	5	of	of	ADP
iajs-2702	267	6	proof	proof	NOUN
iajs-2702	267	7	theorem	theorem	VERB
iajs-2702	267	8	4.16	4.16	NUM
iajs-2702	267	9	.	.	PUNCT
iajs-2702	268	1	definition	definition	NOUN
iajs-2702	268	2	5.18	5.18	NUM
iajs-2702	268	3	.	.	PUNCT
iajs-2702	269	1	in	in	ADP
iajs-2702	269	2	the	the	DET
iajs-2702	269	3	space	space	NOUN
iajs-2702	269	4	(	(	PUNCT
iajs-2702	269	5	ӽ	ӽ	NOUN
iajs-2702	269	6	,	,	PUNCT
iajs-2702	269	7	ʈ	ʈ	X
iajs-2702	269	8	,	,	PUNCT
iajs-2702	269	9	ɖ	ɖ	NOUN
iajs-2702	269	10	,	,	PUNCT
iajs-2702	269	11	ᶅ	ᶅ	NOUN
iajs-2702	269	12	)	)	PUNCT
iajs-2702	269	13	,	,	PUNCT
iajs-2702	269	14	define	define	VERB
iajs-2702	269	15	a	a	DET
iajs-2702	269	16	game	game	NOUN
iajs-2702	269	17	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	269	18	,	,	PUNCT
iajs-2702	269	19	ӽ	ӽ	NOUN
iajs-2702	269	20	,	,	PUNCT
iajs-2702	269	21	ᶅ	ᶅ	NOUN
iajs-2702	269	22	)	)	PUNCT
iajs-2702	269	23	as	as	SCONJ
iajs-2702	269	24	follows	follow	VERB
iajs-2702	269	25	:	:	PUNCT
iajs-2702	269	26	pⅰ	pⅰ	NOUN
iajs-2702	269	27	and	and	CCONJ
iajs-2702	269	28	pⅱ	pⅱ	NOUN
iajs-2702	269	29	are	be	AUX
iajs-2702	269	30	playing	play	VERB
iajs-2702	269	31	an	an	DET
iajs-2702	269	32	inning	inning	NOUN
iajs-2702	269	33	for	for	SCONJ
iajs-2702	269	34	every	every	DET
iajs-2702	269	35	natural	natural	ADJ
iajs-2702	269	36	number	number	NOUN
iajs-2702	269	37	in	in	ADP
iajs-2702	269	38	the	the	DET
iajs-2702	269	39	𝑧-𝑡ℎ	𝑧-𝑡ℎ	NOUN
iajs-2702	269	40	inning	inne	VERB
iajs-2702	269	41	:	:	PUNCT
iajs-2702	269	42	the	the	DET
iajs-2702	269	43	first	first	ADJ
iajs-2702	269	44	step	step	NOUN
iajs-2702	269	45	,	,	PUNCT
iajs-2702	269	46	pⅰ	pⅰ	PROPN
iajs-2702	269	47	choose	choose	VERB
iajs-2702	269	48	(	(	PUNCT
iajs-2702	269	49	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	269	50	≠	≠	PROPN
iajs-2702	269	51	(	(	PUNCT
iajs-2702	269	52	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	269	53	whenever	whenever	SCONJ
iajs-2702	269	54	,	,	PUNCT
iajs-2702	269	55	(	(	PUNCT
iajs-2702	269	56	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	269	57	,	,	PUNCT
iajs-2702	269	58	(	(	PUNCT
iajs-2702	269	59	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	269	60	∈̃	∈̃	PROPN
iajs-2702	269	61	ӽ̃.	ӽ̃.	PROPN
iajs-2702	269	62	in	in	ADP
iajs-2702	269	63	the	the	DET
iajs-2702	269	64	second	second	ADJ
iajs-2702	269	65	step	step	NOUN
iajs-2702	269	66	,	,	PUNCT
iajs-2702	269	67	pⅱ	pⅱ	NOUN
iajs-2702	269	68	choose	choose	NOUN
iajs-2702	269	69	(	(	PUNCT
iajs-2702	269	70	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	269	71	,	,	PUNCT
iajs-2702	269	72	ɖ	ɖ	NOUN
iajs-2702	269	73	)	)	PUNCT
iajs-2702	269	74	,	,	PUNCT
iajs-2702	269	75	(	(	PUNCT
iajs-2702	269	76	ư𝑧	ư𝑧	ADJ
iajs-2702	269	77	,	,	PUNCT
iajs-2702	269	78	ɖ	ɖ	X
iajs-2702	269	79	)	)	PUNCT
iajs-2702	269	80	are	be	AUX
iajs-2702	269	81	two	two	NUM
iajs-2702	269	82	𝑠ᶅ𝑝𝑔-open	𝑠ᶅ𝑝𝑔-open	ADJ
iajs-2702	269	83	soft	soft	ADJ
iajs-2702	269	84	sets	set	NOUN
iajs-2702	269	85	s.t	s.t	PROPN
iajs-2702	269	86	(	(	PUNCT
iajs-2702	269	87	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	269	88	)	)	PUNCT
iajs-2702	269	89	z	z	PROPN
iajs-2702	270	1	∈̃	∈̃	NOUN
iajs-2702	270	2	(	(	PUNCT
iajs-2702	270	3	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	270	4	,	,	PUNCT
iajs-2702	270	5	ɖ	ɖ	NOUN
iajs-2702	270	6	)	)	PUNCT
iajs-2702	270	7	,	,	PUNCT
iajs-2702	270	8	(	(	PUNCT
iajs-2702	270	9	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	270	10	)	)	PUNCT
iajs-2702	270	11	z	z	PROPN
iajs-2702	270	12	∈̃	∈̃	PROPN
iajs-2702	270	13	(	(	PUNCT
iajs-2702	270	14	ư𝑧	ư𝑧	ADJ
iajs-2702	270	15	,	,	PUNCT
iajs-2702	270	16	ɖ	ɖ	X
iajs-2702	270	17	)	)	PUNCT
iajs-2702	270	18	and	and	CCONJ
iajs-2702	270	19	(	(	PUNCT
iajs-2702	270	20	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	270	21	,	,	PUNCT
iajs-2702	270	22	ɖ	ɖ	NOUN
iajs-2702	270	23	)	)	PUNCT
iajs-2702	270	24	∩	∩	X
iajs-2702	270	25	̃	̃	PROPN
iajs-2702	270	26	(	(	PUNCT
iajs-2702	270	27	ư𝑧	ư𝑧	NOUN
iajs-2702	270	28	,	,	PUNCT
iajs-2702	270	29	ɖ)=	ɖ)=	NOUN
iajs-2702	270	30	{	{	PUNCT
iajs-2702	270	31	∅̃	∅̃	NOUN
iajs-2702	270	32	}	}	PUNCT
iajs-2702	270	33	.	.	PUNCT
iajs-2702	271	1	then	then	ADV
iajs-2702	271	2	pⅱ	pⅱ	NOUN
iajs-2702	271	3	wins	win	VERB
iajs-2702	271	4	in	in	ADP
iajs-2702	271	5	the	the	DET
iajs-2702	271	6	game	game	NOUN
iajs-2702	271	7	şᶃ(ʈ0	şᶃ(ʈ0	NOUN
iajs-2702	271	8	,	,	PUNCT
iajs-2702	271	9	ӽ	ӽ	X
iajs-2702	271	10	,	,	PUNCT
iajs-2702	271	11	ᶅ	ᶅ	PROPN
iajs-2702	271	12	)	)	PUNCT
iajs-2702	271	13	if	if	SCONJ
iajs-2702	271	14	ƀ	ƀ	PRON
iajs-2702	271	15	=	=	X
iajs-2702	271	16	{	{	PUNCT
iajs-2702	271	17	{	{	PUNCT
iajs-2702	271	18	(	(	PUNCT
iajs-2702	271	19	ƌ1	ƌ1	ADJ
iajs-2702	271	20	,	,	PUNCT
iajs-2702	271	21	ɖ	ɖ	NOUN
iajs-2702	271	22	)	)	PUNCT
iajs-2702	271	23	,	,	PUNCT
iajs-2702	271	24	(	(	PUNCT
iajs-2702	271	25	ư1	ư1	PROPN
iajs-2702	271	26	,	,	PUNCT
iajs-2702	271	27	ɖ)},{(ƌ2	ɖ)},{(ƌ2	NOUN
iajs-2702	271	28	,	,	PUNCT
iajs-2702	271	29	ɖ	ɖ	X
iajs-2702	271	30	)	)	PUNCT
iajs-2702	271	31	,	,	PUNCT
iajs-2702	271	32	(	(	PUNCT
iajs-2702	271	33	ư2	ư2	NOUN
iajs-2702	271	34	,	,	PUNCT
iajs-2702	271	35	ɖ	ɖ	NOUN
iajs-2702	271	36	)	)	PUNCT
iajs-2702	271	37	}	}	PUNCT
iajs-2702	271	38	,	,	PUNCT
iajs-2702	271	39	…	…	PUNCT
iajs-2702	271	40	{	{	PUNCT
iajs-2702	271	41	(	(	PUNCT
iajs-2702	271	42	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	271	43	,	,	PUNCT
iajs-2702	271	44	ɖ	ɖ	NOUN
iajs-2702	271	45	)	)	PUNCT
iajs-2702	271	46	,	,	PUNCT
iajs-2702	271	47	(	(	PUNCT
iajs-2702	271	48	ư𝑧	ư𝑧	ADJ
iajs-2702	271	49	,	,	PUNCT
iajs-2702	271	50	ɖ	ɖ	NOUN
iajs-2702	271	51	)	)	PUNCT
iajs-2702	271	52	}	}	PUNCT
iajs-2702	271	53	…	…	PUNCT
iajs-2702	271	54	...	...	PUNCT
iajs-2702	271	55	}	}	PUNCT
iajs-2702	271	56	be	be	AUX
iajs-2702	271	57	a	a	DET
iajs-2702	271	58	collection	collection	NOUN
iajs-2702	271	59	of	of	ADP
iajs-2702	271	60	a	a	DET
iajs-2702	271	61	soft	soft	ADJ
iajs-2702	271	62	-	-	PUNCT
iajs-2702	271	63	ᶅ𝑝𝑟𝑒	ᶅ𝑝𝑟𝑒	NOUN
iajs-2702	271	64	open	open	ADJ
iajs-2702	271	65	set	set	VERB
iajs-2702	271	66	in	in	ADP
iajs-2702	271	67	ӽ	ӽ	X
iajs-2702	271	68	s.t	s.t	PROPN
iajs-2702	271	69	∀	∀	X
iajs-2702	271	70	(	(	PUNCT
iajs-2702	271	71	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	271	72	,	,	PUNCT
iajs-2702	271	73	(	(	PUNCT
iajs-2702	271	74	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	271	75	∈̃	∈̃	PROPN
iajs-2702	271	76	ӽ	ӽ	NOUN
iajs-2702	271	77	,	,	PUNCT
iajs-2702	271	78	∃	∃	PROPN
iajs-2702	271	79	(	(	PUNCT
iajs-2702	271	80	ƌ𝑧	ƌ𝑧	PROPN
iajs-2702	271	81	,	,	PUNCT
iajs-2702	271	82	ɖ	ɖ	NOUN
iajs-2702	271	83	)	)	PUNCT
iajs-2702	271	84	,	,	PUNCT
iajs-2702	271	85	(	(	PUNCT
iajs-2702	271	86	ư𝑧	ư𝑧	ADJ
iajs-2702	271	87	,	,	PUNCT
iajs-2702	271	88	ɖ	ɖ	X
iajs-2702	271	89	)	)	PUNCT
iajs-2702	271	90	∈	∈	PROPN
iajs-2702	271	91	ƀ	ƀ	X
iajs-2702	271	92	s.t	s.t	PROPN
iajs-2702	271	93	(	(	PUNCT
iajs-2702	271	94	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	271	95	)	)	PUNCT
iajs-2702	271	96	z	z	PROPN
iajs-2702	272	1	∈̃	∈̃	NOUN
iajs-2702	272	2	(	(	PUNCT
iajs-2702	272	3	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	272	4	,	,	PUNCT
iajs-2702	272	5	ɖ	ɖ	NOUN
iajs-2702	272	6	)	)	PUNCT
iajs-2702	272	7	,	,	PUNCT
iajs-2702	272	8	(	(	PUNCT
iajs-2702	272	9	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	272	10	)	)	PUNCT
iajs-2702	272	11	z	z	PROPN
iajs-2702	272	12	∈̃	∈̃	PROPN
iajs-2702	272	13	(	(	PUNCT
iajs-2702	272	14	ư𝑧	ư𝑧	ADJ
iajs-2702	272	15	,	,	PUNCT
iajs-2702	272	16	ɖ	ɖ	X
iajs-2702	272	17	)	)	PUNCT
iajs-2702	272	18	and	and	CCONJ
iajs-2702	272	19	(	(	PUNCT
iajs-2702	272	20	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	272	21	,	,	PUNCT
iajs-2702	272	22	ɖ	ɖ	NOUN
iajs-2702	272	23	)	)	PUNCT
iajs-2702	272	24	∩	∩	X
iajs-2702	272	25	̃	̃	PROPN
iajs-2702	272	26	(	(	PUNCT
iajs-2702	272	27	ư𝑧	ư𝑧	NOUN
iajs-2702	272	28	,	,	PUNCT
iajs-2702	272	29	ɖ)=	ɖ)=	NOUN
iajs-2702	272	30	{	{	PUNCT
iajs-2702	272	31	∅̃	∅̃	NOUN
iajs-2702	272	32	}	}	PUNCT
iajs-2702	272	33	.	.	PUNCT
iajs-2702	273	1	otherwise	otherwise	ADV
iajs-2702	273	2	,	,	PUNCT
iajs-2702	273	3	pⅰ	pⅰ	NOUN
iajs-2702	273	4	wins	win	NOUN
iajs-2702	273	5	in	in	ADP
iajs-2702	273	6	the	the	DET
iajs-2702	273	7	game	game	NOUN
iajs-2702	273	8	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	273	9	,	,	PUNCT
iajs-2702	273	10	ӽ	ӽ	NOUN
iajs-2702	273	11	,	,	PUNCT
iajs-2702	273	12	ᶅ	ᶅ	NOUN
iajs-2702	273	13	)	)	PUNCT
iajs-2702	273	14	.	.	PUNCT
iajs-2702	274	1	for	for	ADP
iajs-2702	274	2	example	example	NOUN
iajs-2702	274	3	,	,	PUNCT
iajs-2702	274	4	5.11	5.11	NUM
iajs-2702	274	5	.	.	PUNCT
iajs-2702	275	1	∀(ᶁℳ)𝑧	∀(ᶁℳ)𝑧	NOUN
iajs-2702	275	2	≠	≠	PROPN
iajs-2702	275	3	(	(	PUNCT
iajs-2702	275	4	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	275	5	whenever	whenever	SCONJ
iajs-2702	275	6	(	(	PUNCT
iajs-2702	275	7	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	275	8	,	,	PUNCT
iajs-2702	275	9	(	(	PUNCT
iajs-2702	275	10	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	275	11	∈̃	∈̃	PROPN
iajs-2702	275	12	ӽ	ӽ	NOUN
iajs-2702	275	13	,	,	PUNCT
iajs-2702	275	14	∃	∃	PROPN
iajs-2702	275	15	(	(	PUNCT
iajs-2702	275	16	ƌ𝑧	ƌ𝑧	PROPN
iajs-2702	275	17	,	,	PUNCT
iajs-2702	275	18	ɖ	ɖ	NOUN
iajs-2702	275	19	)	)	PUNCT
iajs-2702	275	20	,	,	PUNCT
iajs-2702	275	21	(	(	PUNCT
iajs-2702	275	22	ư𝑧	ư𝑧	ADJ
iajs-2702	275	23	,	,	PUNCT
iajs-2702	275	24	ɖ	ɖ	X
iajs-2702	275	25	)	)	PUNCT
iajs-2702	275	26	∈	∈	PROPN
iajs-2702	275	27	ƀ	ƀ	X
iajs-2702	275	28	s.t	s.t	PROPN
iajs-2702	275	29	(	(	PUNCT
iajs-2702	275	30	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	275	31	)	)	PUNCT
iajs-2702	275	32	z	z	PROPN
iajs-2702	275	33	∈̃	∈̃	NOUN
iajs-2702	275	34	(	(	PUNCT
iajs-2702	275	35	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	275	36	,	,	PUNCT
iajs-2702	275	37	ɖ	ɖ	NOUN
iajs-2702	275	38	)	)	PUNCT
iajs-2702	275	39	,	,	PUNCT
iajs-2702	275	40	(	(	PUNCT
iajs-2702	275	41	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	275	42	)	)	PUNCT
iajs-2702	275	43	z	z	PROPN
iajs-2702	275	44	∈̃	∈̃	PROPN
iajs-2702	275	45	(	(	PUNCT
iajs-2702	275	46	ư𝑧	ư𝑧	ADJ
iajs-2702	275	47	,	,	PUNCT
iajs-2702	275	48	ɖ	ɖ	X
iajs-2702	275	49	)	)	PUNCT
iajs-2702	275	50	and	and	CCONJ
iajs-2702	275	51	(	(	PUNCT
iajs-2702	275	52	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	275	53	,	,	PUNCT
iajs-2702	275	54	ɖ	ɖ	NOUN
iajs-2702	275	55	)	)	PUNCT
iajs-2702	275	56	∩	∩	X
iajs-2702	275	57	̃	̃	PROPN
iajs-2702	275	58	(	(	PUNCT
iajs-2702	275	59	ư𝑧	ư𝑧	NOUN
iajs-2702	275	60	,	,	PUNCT
iajs-2702	275	61	ɖ)=	ɖ)=	NOUN
iajs-2702	275	62	{	{	PUNCT
iajs-2702	275	63	∅̃	∅̃	NOUN
iajs-2702	275	64	}	}	PUNCT
iajs-2702	275	65	.	.	PUNCT
iajs-2702	276	1	so	so	ADV
iajs-2702	276	2	ƀ	ƀ	PRON
iajs-2702	276	3	=	=	PRON
iajs-2702	276	4	{	{	PUNCT
iajs-2702	276	5	{	{	PUNCT
iajs-2702	276	6	(	(	PUNCT
iajs-2702	276	7	ƌ	ƌ	PROPN
iajs-2702	276	8	,	,	PUNCT
iajs-2702	276	9	ɖ	ɖ	NOUN
iajs-2702	276	10	)	)	PUNCT
iajs-2702	276	11	,	,	PUNCT
iajs-2702	276	12	(	(	PUNCT
iajs-2702	276	13	ư	ư	X
iajs-2702	276	14	,	,	PUNCT
iajs-2702	276	15	ɖ)},{(ư	ɖ)},{(ư	NUM
iajs-2702	276	16	,	,	PUNCT
iajs-2702	276	17	ɖ),(ƈ	ɖ),(ƈ	NOUN
iajs-2702	276	18	,	,	PUNCT
iajs-2702	276	19	ɖ)},{(ƌ	ɖ)},{(ƌ	PRON
iajs-2702	276	20	,	,	PUNCT
iajs-2702	276	21	ɖ),(ƈ	ɖ),(ƈ	NOUN
iajs-2702	276	22	,	,	PUNCT
iajs-2702	276	23	ɖ)},{(ƌ	ɖ)},{(ƌ	NOUN
iajs-2702	276	24	,	,	PUNCT
iajs-2702	276	25	ɖ),(f	ɖ),(f	NOUN
iajs-2702	276	26	,	,	PUNCT
iajs-2702	276	27	ɖ	ɖ	NOUN
iajs-2702	276	28	)	)	PUNCT
iajs-2702	276	29	}	}	PUNCT
iajs-2702	276	30	,	,	PUNCT
iajs-2702	276	31	{	{	PUNCT
iajs-2702	276	32	(	(	PUNCT
iajs-2702	276	33	ư	ư	PROPN
iajs-2702	276	34	,	,	PUNCT
iajs-2702	276	35	ɖ),(ƞ	ɖ),(ƞ	NOUN
iajs-2702	276	36	,	,	PUNCT
iajs-2702	276	37	ɖ	ɖ	NOUN
iajs-2702	276	38	)	)	PUNCT
iajs-2702	276	39	}	}	PUNCT
iajs-2702	276	40	,	,	PUNCT
iajs-2702	276	41	{	{	PUNCT
iajs-2702	276	42	(	(	PUNCT
iajs-2702	276	43	ƈ	ƈ	NOUN
iajs-2702	276	44	,	,	PUNCT
iajs-2702	276	45	ɖ	ɖ	NOUN
iajs-2702	276	46	)	)	PUNCT
iajs-2702	276	47	,	,	PUNCT
iajs-2702	276	48	(	(	PUNCT
iajs-2702	276	49	ƥ	ƥ	X
iajs-2702	276	50	,	,	PUNCT
iajs-2702	276	51	ɖ	ɖ	NOUN
iajs-2702	276	52	)	)	PUNCT
iajs-2702	276	53	}	}	PUNCT
iajs-2702	276	54	}	}	PUNCT
iajs-2702	276	55	.	.	PUNCT
iajs-2702	277	1	is	be	AUX
iajs-2702	277	2	the	the	DET
iajs-2702	277	3	winning	win	VERB
iajs-2702	277	4	startegy	startegy	NOUN
iajs-2702	277	5	for	for	ADP
iajs-2702	277	6	pⅱ	pⅱ	NOUN
iajs-2702	277	7	in	in	ADP
iajs-2702	277	8	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	277	9	,	,	PUNCT
iajs-2702	277	10	ӽ	ӽ	NOUN
iajs-2702	277	11	,	,	PUNCT
iajs-2702	277	12	ᶅ	ᶅ	NOUN
iajs-2702	277	13	)	)	PUNCT
iajs-2702	277	14	.	.	PUNCT
iajs-2702	278	1	hence	hence	ADV
iajs-2702	278	2	pⅱ	pⅱ	NOUN
iajs-2702	278	3	↑	↑	NOUN
iajs-2702	278	4	şᶃ(ʈ2	şᶃ(ʈ2	X
iajs-2702	278	5	,	,	PUNCT
iajs-2702	278	6	ӽ	ӽ	X
iajs-2702	278	7	,	,	PUNCT
iajs-2702	278	8	ᶅ	ᶅ	NOUN
iajs-2702	278	9	)	)	PUNCT
iajs-2702	278	10	.	.	PUNCT
iajs-2702	279	1	by	by	ADP
iajs-2702	279	2	the	the	DET
iajs-2702	279	3	same	same	ADJ
iajs-2702	279	4	way	way	NOUN
iajs-2702	279	5	in	in	ADP
iajs-2702	279	6	example	example	NOUN
iajs-2702	279	7	5.3	5.3	NUM
iajs-2702	279	8	,	,	PUNCT
iajs-2702	279	9	pⅰ	pⅰ	PROPN
iajs-2702	279	10	↑	↑	NOUN
iajs-2702	279	11	şᶃ(ʈ2	şᶃ(ʈ2	X
iajs-2702	279	12	,	,	PUNCT
iajs-2702	279	13	ӽ	ӽ	X
iajs-2702	279	14	,	,	PUNCT
iajs-2702	279	15	ᶅ	ᶅ	NOUN
iajs-2702	279	16	)	)	PUNCT
iajs-2702	279	17	.	.	PUNCT
iajs-2702	280	1	ibn	ibn	PROPN
iajs-2702	280	2	al	al	PROPN
iajs-2702	280	3	-	-	PUNCT
iajs-2702	280	4	haitham	haitham	PROPN
iajs-2702	280	5	jour	jour	X
iajs-2702	280	6	.	.	PROPN
iajs-2702	280	7	for	for	ADP
iajs-2702	280	8	pure	pure	ADJ
iajs-2702	280	9	&	&	CCONJ
iajs-2702	280	10	appl	appl	PROPN
iajs-2702	280	11	.	.	PUNCT
iajs-2702	281	1	sci	sci	PROPN
iajs-2702	281	2	.	.	PROPN
iajs-2702	282	1	34(4)2021	34(4)2021	NUM
iajs-2702	282	2	55	55	NUM
iajs-2702	282	3	remark	remark	NOUN
iajs-2702	282	4	5.19	5.19	NUM
iajs-2702	282	5	.	.	PUNCT
iajs-2702	283	1	for	for	ADP
iajs-2702	283	2	a	a	DET
iajs-2702	283	3	space	space	NOUN
iajs-2702	283	4	(	(	PUNCT
iajs-2702	283	5	ӽ	ӽ	NOUN
iajs-2702	283	6	,	,	PUNCT
iajs-2702	283	7	ʈ	ʈ	X
iajs-2702	283	8	,	,	PUNCT
iajs-2702	283	9	ɖ	ɖ	NOUN
iajs-2702	283	10	,	,	PUNCT
iajs-2702	283	11	ᶅ	ᶅ	NOUN
iajs-2702	283	12	):	):	PUNCT
iajs-2702	283	13	iif	iif	PROPN
iajs-2702	283	14	pⅱ	pⅱ	PROPN
iajs-2702	283	15	↑	↑	NOUN
iajs-2702	283	16	şᶃ(ʈ2	şᶃ(ʈ2	X
iajs-2702	283	17	,	,	PUNCT
iajs-2702	283	18	ӽ	ӽ	X
iajs-2702	283	19	)	)	PUNCT
iajs-2702	283	20	then	then	ADV
iajs-2702	283	21	pⅱ	pⅱ	PROPN
iajs-2702	283	22	↑	↑	PROPN
iajs-2702	283	23	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	283	24	,	,	PUNCT
iajs-2702	283	25	ӽ	ӽ	NOUN
iajs-2702	283	26	,	,	PUNCT
iajs-2702	283	27	ᶅ	ᶅ	NOUN
iajs-2702	283	28	)	)	PUNCT
iajs-2702	283	29	.	.	PUNCT
iajs-2702	284	1	iiif	iiif	PROPN
iajs-2702	284	2	pⅰ	pⅰ	PROPN
iajs-2702	284	3	↑	↑	PROPN
iajs-2702	284	4	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	284	5	,	,	PUNCT
iajs-2702	284	6	ӽ	ӽ	NOUN
iajs-2702	284	7	,	,	PUNCT
iajs-2702	284	8	ᶅ	ᶅ	PROPN
iajs-2702	284	9	)	)	PUNCT
iajs-2702	284	10	then	then	ADV
iajs-2702	284	11	pⅰ	pⅰ	PROPN
iajs-2702	284	12	↑	↑	PROPN
iajs-2702	284	13	şᶃ(ʈ2	şᶃ(ʈ2	X
iajs-2702	284	14	,	,	PUNCT
iajs-2702	284	15	ӽ	ӽ	X
iajs-2702	284	16	)	)	PUNCT
iajs-2702	284	17	.	.	PUNCT
iajs-2702	285	1	remark	remark	PROPN
iajs-2702	285	2	5.20	5.20	NUM
iajs-2702	285	3	.	.	PUNCT
iajs-2702	286	1	for	for	ADP
iajs-2702	286	2	a	a	DET
iajs-2702	286	3	space	space	NOUN
iajs-2702	286	4	(	(	PUNCT
iajs-2702	286	5	ӽ	ӽ	NOUN
iajs-2702	286	6	,	,	PUNCT
iajs-2702	286	7	ʈ	ʈ	X
iajs-2702	286	8	,	,	PUNCT
iajs-2702	286	9	ɖ	ɖ	NOUN
iajs-2702	286	10	,	,	PUNCT
iajs-2702	286	11	ᶅ	ᶅ	NOUN
iajs-2702	286	12	)	)	PUNCT
iajs-2702	286	13	,	,	PUNCT
iajs-2702	286	14	if	if	SCONJ
iajs-2702	286	15	playerⅱ	playerⅱ	PRON
iajs-2702	286	16	↓	↓	NOUN
iajs-2702	286	17	şᶃ(ʈ2	şᶃ(ʈ2	X
iajs-2702	286	18	,	,	PUNCT
iajs-2702	286	19	ӽ	ӽ	X
iajs-2702	286	20	)	)	PUNCT
iajs-2702	286	21	then	then	ADV
iajs-2702	286	22	pⅱ	pⅱ	NOUN
iajs-2702	286	23	↓	↓	PROPN
iajs-2702	286	24	şᶃ(ʈ2	şᶃ(ʈ2	ADP
iajs-2702	286	25	ӽ	ӽ	NOUN
iajs-2702	286	26	,	,	PUNCT
iajs-2702	286	27	,	,	PUNCT
iajs-2702	286	28	ᶅ	ᶅ	NOUN
iajs-2702	286	29	)	)	PUNCT
iajs-2702	286	30	.	.	PUNCT
iajs-2702	287	1	theorem	theorem	VERB
iajs-2702	287	2	5.21	5.21	NUM
iajs-2702	287	3	.	.	PUNCT
iajs-2702	288	1	a	a	DET
iajs-2702	288	2	space	space	NOUN
iajs-2702	288	3	(	(	PUNCT
iajs-2702	288	4	ӽ	ӽ	NOUN
iajs-2702	288	5	,	,	PUNCT
iajs-2702	288	6	ʈ	ʈ	X
iajs-2702	288	7	,	,	PUNCT
iajs-2702	288	8	ɖ	ɖ	NOUN
iajs-2702	288	9	,	,	PUNCT
iajs-2702	288	10	ᶅ	ᶅ	NOUN
iajs-2702	288	11	)	)	PUNCT
iajs-2702	288	12	is	be	AUX
iajs-2702	288	13	𝑠ᶅ𝑝𝑔-ʈ2-𝑠𝑝𝑎𝑐𝑒	𝑠ᶅ𝑝𝑔-ʈ2-𝑠𝑝𝑎𝑐𝑒	ADJ
iajs-2702	288	14	if	if	SCONJ
iajs-2702	288	15	and	and	CCONJ
iajs-2702	288	16	only	only	ADV
iajs-2702	288	17	if	if	SCONJ
iajs-2702	288	18	pⅱ	pⅱ	PROPN
iajs-2702	288	19	↑	↑	NOUN
iajs-2702	288	20	şᶃ(ʈ2	şᶃ(ʈ2	X
iajs-2702	288	21	,	,	PUNCT
iajs-2702	288	22	ӽ	ӽ	X
iajs-2702	288	23	,	,	PUNCT
iajs-2702	288	24	ᶅ	ᶅ	NOUN
iajs-2702	288	25	)	)	PUNCT
iajs-2702	288	26	.	.	PUNCT
iajs-2702	289	1	proof	proof	NOUN
iajs-2702	289	2	:	:	PUNCT
iajs-2702	289	3	(	(	PUNCT
iajs-2702	289	4	⟹	⟹	X
iajs-2702	289	5	)	)	PUNCT
iajs-2702	289	6	in	in	ADP
iajs-2702	289	7	the	the	DET
iajs-2702	289	8	𝑧-th	𝑧-th	PROPN
iajs-2702	289	9	inning	inning	NOUN
iajs-2702	289	10	,	,	PUNCT
iajs-2702	289	11	pⅰin	pⅰin	ADP
iajs-2702	289	12	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	289	13	,	,	PUNCT
iajs-2702	289	14	ӽ	ӽ	X
iajs-2702	289	15	,	,	PUNCT
iajs-2702	289	16	ᶅ	ᶅ	NOUN
iajs-2702	289	17	)	)	PUNCT
iajs-2702	289	18	choose	choose	NOUN
iajs-2702	289	19	(	(	PUNCT
iajs-2702	289	20	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	289	21	≠	≠	PROPN
iajs-2702	289	22	(	(	PUNCT
iajs-2702	289	23	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	289	24	whenever	whenever	SCONJ
iajs-2702	289	25	,	,	PUNCT
iajs-2702	289	26	(	(	PUNCT
iajs-2702	289	27	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	289	28	,	,	PUNCT
iajs-2702	289	29	(	(	PUNCT
iajs-2702	289	30	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	289	31	∈̃	∈̃	PROPN
iajs-2702	289	32	ӽ̃	ӽ̃	PROPN
iajs-2702	289	33	,	,	PUNCT
iajs-2702	289	34	pⅱ	pⅱ	NOUN
iajs-2702	289	35	in	in	ADP
iajs-2702	289	36	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	289	37	,	,	PUNCT
iajs-2702	289	38	ӽ	ӽ	X
iajs-2702	289	39	,	,	PUNCT
iajs-2702	289	40	ᶅ	ᶅ	NOUN
iajs-2702	289	41	)	)	PUNCT
iajs-2702	289	42	choose	choose	NOUN
iajs-2702	289	43	(	(	PUNCT
iajs-2702	289	44	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	289	45	,	,	PUNCT
iajs-2702	289	46	ɖ	ɖ	NOUN
iajs-2702	289	47	)	)	PUNCT
iajs-2702	289	48	,	,	PUNCT
iajs-2702	289	49	(	(	PUNCT
iajs-2702	289	50	ư𝑧	ư𝑧	ADJ
iajs-2702	289	51	,	,	PUNCT
iajs-2702	289	52	ɖ	ɖ	X
iajs-2702	289	53	)	)	PUNCT
iajs-2702	289	54	are	be	AUX
iajs-2702	289	55	two	two	NUM
iajs-2702	289	56	𝑠ᶅ𝑝𝑔-open	𝑠ᶅ𝑝𝑔-open	ADJ
iajs-2702	289	57	sets	set	NOUN
iajs-2702	289	58	s.t	s.t	PROPN
iajs-2702	289	59	(	(	PUNCT
iajs-2702	289	60	ᶁ𝓜	ᶁ𝓜	NOUN
iajs-2702	289	61	)	)	PUNCT
iajs-2702	289	62	z	z	PROPN
iajs-2702	289	63	∈̃	∈̃	NOUN
iajs-2702	289	64	(	(	PUNCT
iajs-2702	289	65	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	289	66	,	,	PUNCT
iajs-2702	289	67	ɖ	ɖ	NOUN
iajs-2702	289	68	)	)	PUNCT
iajs-2702	289	69	,	,	PUNCT
iajs-2702	289	70	(	(	PUNCT
iajs-2702	289	71	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	289	72	)	)	PUNCT
iajs-2702	289	73	z	z	PROPN
iajs-2702	289	74	∈̃	∈̃	PROPN
iajs-2702	289	75	(	(	PUNCT
iajs-2702	289	76	ư𝑧	ư𝑧	ADJ
iajs-2702	289	77	,	,	PUNCT
iajs-2702	289	78	ɖ	ɖ	X
iajs-2702	289	79	)	)	PUNCT
iajs-2702	289	80	and	and	CCONJ
iajs-2702	289	81	(	(	PUNCT
iajs-2702	289	82	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	289	83	,	,	PUNCT
iajs-2702	289	84	ɖ	ɖ	NOUN
iajs-2702	289	85	)	)	PUNCT
iajs-2702	289	86	∩	∩	X
iajs-2702	289	87	̃	̃	PROPN
iajs-2702	289	88	(	(	PUNCT
iajs-2702	289	89	ư𝑧	ư𝑧	NOUN
iajs-2702	289	90	,	,	PUNCT
iajs-2702	289	91	ɖ)=	ɖ)=	NOUN
iajs-2702	289	92	{	{	PUNCT
iajs-2702	289	93	∅̃	∅̃	NOUN
iajs-2702	289	94	}	}	PUNCT
iajs-2702	289	95	.	.	PUNCT
iajs-2702	290	1	since	since	SCONJ
iajs-2702	290	2	(	(	PUNCT
iajs-2702	290	3	ӽ	ӽ	NOUN
iajs-2702	290	4	,	,	PUNCT
iajs-2702	290	5	ʈ	ʈ	X
iajs-2702	290	6	,	,	PUNCT
iajs-2702	290	7	ɖ	ɖ	NOUN
iajs-2702	290	8	,	,	PUNCT
iajs-2702	290	9	ᶅ	ᶅ	NOUN
iajs-2702	290	10	)	)	PUNCT
iajs-2702	290	11	is	be	AUX
iajs-2702	290	12	𝑠ᶅ𝑝𝑔ʈ2	𝑠ᶅ𝑝𝑔ʈ2	NOUN
iajs-2702	290	13	-	-	NOUN
iajs-2702	290	14	space	space	NOUN
iajs-2702	290	15	.	.	PUNCT
iajs-2702	291	1	then	then	ADV
iajs-2702	291	2	ƀ	ƀ	X
iajs-2702	291	3	=	=	PUNCT
iajs-2702	291	4	{	{	PUNCT
iajs-2702	291	5	{	{	PUNCT
iajs-2702	291	6	(	(	PUNCT
iajs-2702	291	7	ƌ1	ƌ1	ADJ
iajs-2702	291	8	,	,	PUNCT
iajs-2702	291	9	ɖ	ɖ	NOUN
iajs-2702	291	10	)	)	PUNCT
iajs-2702	291	11	,	,	PUNCT
iajs-2702	291	12	(	(	PUNCT
iajs-2702	291	13	ư1	ư1	PROPN
iajs-2702	291	14	,	,	PUNCT
iajs-2702	291	15	ɖ)},{(ƌ2	ɖ)},{(ƌ2	NOUN
iajs-2702	291	16	,	,	PUNCT
iajs-2702	291	17	ɖ	ɖ	X
iajs-2702	291	18	)	)	PUNCT
iajs-2702	291	19	,	,	PUNCT
iajs-2702	291	20	(	(	PUNCT
iajs-2702	291	21	ư2	ư2	NOUN
iajs-2702	291	22	,	,	PUNCT
iajs-2702	291	23	ɖ	ɖ	NOUN
iajs-2702	291	24	)	)	PUNCT
iajs-2702	291	25	}	}	PUNCT
iajs-2702	291	26	,	,	PUNCT
iajs-2702	291	27	…	…	PUNCT
iajs-2702	291	28	{	{	PUNCT
iajs-2702	291	29	(	(	PUNCT
iajs-2702	291	30	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	291	31	,	,	PUNCT
iajs-2702	291	32	ɖ	ɖ	NOUN
iajs-2702	291	33	)	)	PUNCT
iajs-2702	291	34	,	,	PUNCT
iajs-2702	291	35	(	(	PUNCT
iajs-2702	291	36	ư𝑧	ư𝑧	ADJ
iajs-2702	291	37	,	,	PUNCT
iajs-2702	291	38	ɖ	ɖ	NOUN
iajs-2702	291	39	)	)	PUNCT
iajs-2702	291	40	}	}	PUNCT
iajs-2702	291	41	…	…	PUNCT
iajs-2702	291	42	...	...	PUNCT
iajs-2702	291	43	}	}	PUNCT
iajs-2702	291	44	is	be	AUX
iajs-2702	291	45	the	the	DET
iajs-2702	291	46	winning	win	VERB
iajs-2702	291	47	strategy	strategy	NOUN
iajs-2702	291	48	for	for	ADP
iajs-2702	291	49	pⅱ	pⅱ	NOUN
iajs-2702	291	50	in	in	ADP
iajs-2702	291	51	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	291	52	,	,	PUNCT
iajs-2702	291	53	ӽ	ӽ	NOUN
iajs-2702	291	54	,	,	PUNCT
iajs-2702	291	55	ᶅ	ᶅ	NOUN
iajs-2702	291	56	)	)	PUNCT
iajs-2702	291	57	.	.	PUNCT
iajs-2702	292	1	hence	hence	ADV
iajs-2702	292	2	pⅱ	pⅱ	NOUN
iajs-2702	292	3	↑	↑	NOUN
iajs-2702	292	4	şᶃ(ʈ2	şᶃ(ʈ2	X
iajs-2702	292	5	,	,	PUNCT
iajs-2702	292	6	ӽ	ӽ	X
iajs-2702	292	7	,	,	PUNCT
iajs-2702	292	8	ᶅ	ᶅ	NOUN
iajs-2702	292	9	)	)	PUNCT
iajs-2702	292	10	.	.	PUNCT
iajs-2702	293	1	(	(	PUNCT
iajs-2702	293	2	⟸	⟸	ADJ
iajs-2702	293	3	)	)	PUNCT
iajs-2702	293	4	clear	clear	ADJ
iajs-2702	293	5	.	.	PUNCT
iajs-2702	294	1	corollary	corollary	ADJ
iajs-2702	294	2	5.22	5.22	NUM
iajs-2702	294	3	.	.	PUNCT
iajs-2702	295	1	a	a	DET
iajs-2702	295	2	space	space	NOUN
iajs-2702	295	3	(	(	PUNCT
iajs-2702	295	4	ӽ	ӽ	NOUN
iajs-2702	295	5	,	,	PUNCT
iajs-2702	295	6	ʈ	ʈ	X
iajs-2702	295	7	,	,	PUNCT
iajs-2702	295	8	ɖ	ɖ	NOUN
iajs-2702	295	9	,	,	PUNCT
iajs-2702	295	10	ᶅ	ᶅ	NOUN
iajs-2702	295	11	)	)	PUNCT
iajs-2702	295	12	is	be	AUX
iajs-2702	295	13	a	a	DET
iajs-2702	295	14	𝑠ᶅ𝑝𝑔-ʈ2­space	𝑠ᶅ𝑝𝑔-ʈ2­space	NOUN
iajs-2702	295	15	if	if	SCONJ
iajs-2702	295	16	and	and	CCONJ
iajs-2702	295	17	only	only	ADV
iajs-2702	295	18	if	if	SCONJ
iajs-2702	295	19	pⅰ	pⅰ	NOUN
iajs-2702	295	20	⤉	⤉	ADJ
iajs-2702	295	21	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	295	22	,	,	PUNCT
iajs-2702	295	23	ӽ	ӽ	NOUN
iajs-2702	295	24	,	,	PUNCT
iajs-2702	295	25	,	,	PUNCT
iajs-2702	295	26	ᶅ	ᶅ	NOUN
iajs-2702	295	27	)	)	PUNCT
iajs-2702	295	28	.	.	PUNCT
iajs-2702	296	1	proof	proof	NOUN
iajs-2702	296	2	:	:	PUNCT
iajs-2702	296	3	by	by	ADP
iajs-2702	296	4	theorem	theorem	NOUN
iajs-2702	296	5	5.21	5.21	NUM
iajs-2702	296	6	,	,	PUNCT
iajs-2702	296	7	the	the	DET
iajs-2702	296	8	proof	proof	NOUN
iajs-2702	296	9	is	be	AUX
iajs-2702	296	10	over	over	ADV
iajs-2702	296	11	.	.	PUNCT
iajs-2702	297	1	theorem	theorem	VERB
iajs-2702	297	2	5.23	5.23	NUM
iajs-2702	297	3	.	.	PUNCT
iajs-2702	298	1	for	for	ADP
iajs-2702	298	2	a	a	DET
iajs-2702	298	3	space	space	NOUN
iajs-2702	298	4	(	(	PUNCT
iajs-2702	298	5	ӽ	ӽ	NOUN
iajs-2702	298	6	,	,	PUNCT
iajs-2702	298	7	ʈ	ʈ	X
iajs-2702	298	8	,	,	PUNCT
iajs-2702	298	9	ɖ	ɖ	NOUN
iajs-2702	298	10	,	,	PUNCT
iajs-2702	298	11	ᶅ	ᶅ	NOUN
iajs-2702	298	12	):	):	PUNCT
iajs-2702	298	13	a	a	DET
iajs-2702	298	14	space	space	NOUN
iajs-2702	298	15	(	(	PUNCT
iajs-2702	298	16	ӽ	ӽ	NOUN
iajs-2702	298	17	,	,	PUNCT
iajs-2702	298	18	ʈ	ʈ	X
iajs-2702	298	19	,	,	PUNCT
iajs-2702	298	20	ɖ	ɖ	NOUN
iajs-2702	298	21	,	,	PUNCT
iajs-2702	298	22	ᶅ	ᶅ	NOUN
iajs-2702	298	23	)	)	PUNCT
iajs-2702	298	24	is	be	AUX
iajs-2702	298	25	not	not	PART
iajs-2702	298	26	a	a	DET
iajs-2702	298	27	𝑠ᶅ𝑝𝑔-ʈ2­space	𝑠ᶅ𝑝𝑔-ʈ2­space	NOUN
iajs-2702	298	28	if	if	SCONJ
iajs-2702	298	29	and	and	CCONJ
iajs-2702	298	30	only	only	ADV
iajs-2702	298	31	if	if	SCONJ
iajs-2702	298	32	pⅰ	pⅰ	PROPN
iajs-2702	298	33	↑	↑	NOUN
iajs-2702	298	34	şᶃ(ʈ2,ӽ	şᶃ(ʈ2,ӽ	PROPN
iajs-2702	298	35	,	,	PUNCT
iajs-2702	298	36	ᶅ	ᶅ	NOUN
iajs-2702	298	37	)	)	PUNCT
iajs-2702	298	38	.	.	PUNCT
iajs-2702	299	1	proof	proof	NOUN
iajs-2702	299	2	:	:	PUNCT
iajs-2702	299	3	(	(	PUNCT
iajs-2702	299	4	⟹	⟹	X
iajs-2702	299	5	)	)	PUNCT
iajs-2702	299	6	in	in	ADP
iajs-2702	299	7	the	the	DET
iajs-2702	299	8	𝑧-th	𝑧-th	PROPN
iajs-2702	299	9	inning	inning	NOUN
iajs-2702	299	10	,	,	PUNCT
iajs-2702	299	11	pⅰin	pⅰin	ADP
iajs-2702	299	12	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	299	13	,	,	PUNCT
iajs-2702	299	14	ӽ	ӽ	X
iajs-2702	299	15	,	,	PUNCT
iajs-2702	299	16	ᶅ	ᶅ	PART
iajs-2702	299	17	choose	choose	VERB
iajs-2702	299	18	(	(	PUNCT
iajs-2702	299	19	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	299	20	≠	≠	PROPN
iajs-2702	299	21	(	(	PUNCT
iajs-2702	299	22	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	299	23	whenever	whenever	ADV
iajs-2702	299	24	,	,	PUNCT
iajs-2702	299	25	(	(	PUNCT
iajs-2702	299	26	ᶁℳ)𝑧	ᶁℳ)𝑧	PROPN
iajs-2702	299	27	,	,	PUNCT
iajs-2702	299	28	(	(	PUNCT
iajs-2702	299	29	ᶁ𝒩)𝑧	ᶁ𝒩)𝑧	PROPN
iajs-2702	299	30	∈̃	∈̃	PROPN
iajs-2702	299	31	ӽ̃	ӽ̃	PROPN
iajs-2702	299	32	,	,	PUNCT
iajs-2702	299	33	pⅱ	pⅱ	NOUN
iajs-2702	299	34	in	in	ADP
iajs-2702	299	35	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	299	36	,	,	PUNCT
iajs-2702	299	37	ӽ	ӽ	X
iajs-2702	299	38	,	,	PUNCT
iajs-2702	299	39	ᶅ	ᶅ	NOUN
iajs-2702	299	40	)	)	PUNCT
iajs-2702	299	41	can	can	AUX
iajs-2702	299	42	not	not	PART
iajs-2702	299	43	find	find	VERB
iajs-2702	299	44	(	(	PUNCT
iajs-2702	299	45	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	299	46	,	,	PUNCT
iajs-2702	299	47	ɖ),(ư𝑧	ɖ),(ư𝑧	NUM
iajs-2702	299	48	,	,	PUNCT
iajs-2702	299	49	ɖ	ɖ	X
iajs-2702	299	50	)	)	PUNCT
iajs-2702	299	51	are	be	AUX
iajs-2702	299	52	two	two	NUM
iajs-2702	299	53	𝑠ᶅ𝑝𝑔-open	𝑠ᶅ𝑝𝑔-open	ADJ
iajs-2702	299	54	sets	set	NOUN
iajs-2702	299	55	s.t	s.t	PROPN
iajs-2702	299	56	(	(	PUNCT
iajs-2702	299	57	ᶁ𝓜)z	ᶁ𝓜)z	PROPN
iajs-2702	299	58	∈̃	∈̃	PROPN
iajs-2702	299	59	(	(	PUNCT
iajs-2702	299	60	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	299	61	,	,	PUNCT
iajs-2702	299	62	ɖ	ɖ	NOUN
iajs-2702	299	63	)	)	PUNCT
iajs-2702	299	64	,	,	PUNCT
iajs-2702	299	65	(	(	PUNCT
iajs-2702	299	66	ᶁ𝓝	ᶁ𝓝	NOUN
iajs-2702	299	67	)	)	PUNCT
iajs-2702	300	1	z	z	PROPN
iajs-2702	300	2	∈̃	∈̃	PROPN
iajs-2702	300	3	(	(	PUNCT
iajs-2702	300	4	ư𝑧	ư𝑧	ADJ
iajs-2702	300	5	,	,	PUNCT
iajs-2702	300	6	ɖ	ɖ	X
iajs-2702	300	7	)	)	PUNCT
iajs-2702	300	8	and	and	CCONJ
iajs-2702	300	9	(	(	PUNCT
iajs-2702	300	10	ƌ𝑧	ƌ𝑧	NOUN
iajs-2702	300	11	,	,	PUNCT
iajs-2702	300	12	ɖ	ɖ	NOUN
iajs-2702	300	13	)	)	PUNCT
iajs-2702	300	14	∩	∩	X
iajs-2702	300	15	̃	̃	PROPN
iajs-2702	300	16	(	(	PUNCT
iajs-2702	300	17	ư𝑧	ư𝑧	NOUN
iajs-2702	300	18	,	,	PUNCT
iajs-2702	300	19	ɖ)=	ɖ)=	NOUN
iajs-2702	300	20	{	{	PUNCT
iajs-2702	300	21	∅̃	∅̃	NOUN
iajs-2702	300	22	}	}	PUNCT
iajs-2702	300	23	,	,	PUNCT
iajs-2702	300	24	because(ӽ	because(ӽ	PROPN
iajs-2702	300	25	,	,	PUNCT
iajs-2702	300	26	ʈ	ʈ	X
iajs-2702	300	27	,	,	PUNCT
iajs-2702	300	28	ɖ	ɖ	NOUN
iajs-2702	300	29	,	,	PUNCT
iajs-2702	300	30	ᶅ	ᶅ	NOUN
iajs-2702	300	31	)	)	PUNCT
iajs-2702	300	32	is	be	AUX
iajs-2702	300	33	not	not	PART
iajs-2702	300	34	𝑠ᶅ𝑝𝑔-ʈ2	𝑠ᶅ𝑝𝑔-ʈ2	NOUN
iajs-2702	300	35	-	-	PUNCT
iajs-2702	300	36	space	space	NOUN
iajs-2702	300	37	.	.	PUNCT
iajs-2702	301	1	hence	hence	ADV
iajs-2702	301	2	pⅰ	pⅰ	PROPN
iajs-2702	301	3	↑	↑	NOUN
iajs-2702	301	4	şᶃ(ʈ2	şᶃ(ʈ2	X
iajs-2702	301	5	,	,	PUNCT
iajs-2702	301	6	ӽ	ӽ	X
iajs-2702	301	7	,	,	PUNCT
iajs-2702	301	8	ᶅ	ᶅ	NOUN
iajs-2702	301	9	)	)	PUNCT
iajs-2702	301	10	.	.	PUNCT
iajs-2702	302	1	(	(	PUNCT
iajs-2702	302	2	⟸	⟸	ADJ
iajs-2702	302	3	)	)	PUNCT
iajs-2702	302	4	clear	clear	ADJ
iajs-2702	302	5	.	.	PUNCT
iajs-2702	303	1	corollary	corollary	ADJ
iajs-2702	303	2	5.24	5.24	NUM
iajs-2702	303	3	.	.	PUNCT
iajs-2702	304	1	a	a	DET
iajs-2702	304	2	space	space	NOUN
iajs-2702	304	3	(	(	PUNCT
iajs-2702	304	4	ӽ	ӽ	NOUN
iajs-2702	304	5	,	,	PUNCT
iajs-2702	304	6	ʈ	ʈ	X
iajs-2702	304	7	,	,	PUNCT
iajs-2702	304	8	ɖ	ɖ	NOUN
iajs-2702	304	9	,	,	PUNCT
iajs-2702	304	10	ᶅ	ᶅ	NOUN
iajs-2702	304	11	)	)	PUNCT
iajs-2702	304	12	is	be	AUX
iajs-2702	304	13	not	not	PART
iajs-2702	304	14	a	a	DET
iajs-2702	304	15	𝑠ᶅ𝑝𝑔-ʈ2­space	𝑠ᶅ𝑝𝑔-ʈ2­space	NOUN
iajs-2702	304	16	if	if	SCONJ
iajs-2702	304	17	and	and	CCONJ
iajs-2702	304	18	only	only	ADV
iajs-2702	304	19	if	if	SCONJ
iajs-2702	304	20	pⅱ	pⅱ	NOUN
iajs-2702	304	21	⤉	⤉	VERB
iajs-2702	304	22	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	304	23	,	,	PUNCT
iajs-2702	304	24	ӽ	ӽ	NOUN
iajs-2702	304	25	,	,	PUNCT
iajs-2702	304	26	ᶅ	ᶅ	NOUN
iajs-2702	304	27	)	)	PUNCT
iajs-2702	304	28	.	.	PUNCT
iajs-2702	305	1	proof	proof	NOUN
iajs-2702	305	2	:	:	PUNCT
iajs-2702	305	3	by	by	ADP
iajs-2702	305	4	theorem	theorem	NOUN
iajs-2702	305	5	5.23	5.23	NUM
iajs-2702	305	6	,	,	PUNCT
iajs-2702	305	7	the	the	DET
iajs-2702	305	8	proof	proof	NOUN
iajs-2702	305	9	is	be	AUX
iajs-2702	305	10	over	over	ADV
iajs-2702	305	11	.	.	PUNCT
iajs-2702	306	1	remark	remark	PROPN
iajs-2702	306	2	5.25	5.25	NUM
iajs-2702	306	3	.	.	PUNCT
iajs-2702	307	1	for	for	ADP
iajs-2702	307	2	a	a	DET
iajs-2702	307	3	space	space	NOUN
iajs-2702	307	4	(	(	PUNCT
iajs-2702	307	5	ӽ	ӽ	NOUN
iajs-2702	307	6	,	,	PUNCT
iajs-2702	307	7	ʈ	ʈ	X
iajs-2702	307	8	,	,	PUNCT
iajs-2702	307	9	ɖ	ɖ	NOUN
iajs-2702	307	10	,	,	PUNCT
iajs-2702	307	11	ᶅ	ᶅ	NOUN
iajs-2702	307	12	)	)	PUNCT
iajs-2702	307	13	:	:	PUNCT
iajs-2702	307	14	i.	i.	NOUN
iajs-2702	307	15	if	if	SCONJ
iajs-2702	307	16	pⅱ	pⅱ	PROPN
iajs-2702	307	17	↑	↑	PROPN
iajs-2702	307	18	şᶃ(ʈ𝒊+𝟏	şᶃ(ʈ𝒊+𝟏	PROPN
iajs-2702	307	19	,	,	PUNCT
iajs-2702	307	20	ӽ	ӽ	NOUN
iajs-2702	307	21	,	,	PUNCT
iajs-2702	307	22	ᶅ	ᶅ	NOUN
iajs-2702	307	23	)	)	PUNCT
iajs-2702	307	24	then	then	ADV
iajs-2702	307	25	pⅱ	pⅱ	NOUN
iajs-2702	307	26	↑	↑	PROPN
iajs-2702	307	27	şᶃ(ʈ𝒊	şᶃ(ʈ𝒊	PROPN
iajs-2702	307	28	,	,	PUNCT
iajs-2702	307	29	ӽ	ӽ	NOUN
iajs-2702	307	30	,	,	PUNCT
iajs-2702	307	31	ᶅ	ᶅ	NOUN
iajs-2702	307	32	)	)	PUNCT
iajs-2702	307	33	,	,	PUNCT
iajs-2702	307	34	where	where	SCONJ
iajs-2702	307	35	𝑖	𝑖	ADP
iajs-2702	307	36	=	=	SYM
iajs-2702	307	37	{	{	PUNCT
iajs-2702	307	38	0,1	0,1	NUM
iajs-2702	307	39	}	}	PUNCT
iajs-2702	307	40	.	.	PUNCT
iajs-2702	308	1	ii	ii	PROPN
iajs-2702	308	2	.	.	PUNCT
iajs-2702	309	1	if	if	SCONJ
iajs-2702	309	2	pⅱ	pⅱ	PROPN
iajs-2702	309	3	↑	↑	PROPN
iajs-2702	309	4	şᶃ(ʈ𝒊	şᶃ(ʈ𝒊	PROPN
iajs-2702	309	5	,	,	PUNCT
iajs-2702	309	6	ӽ	ӽ	NOUN
iajs-2702	309	7	)	)	PUNCT
iajs-2702	309	8	;	;	PUNCT
iajs-2702	309	9	then	then	ADV
iajs-2702	309	10	pⅱ	pⅱ	NOUN
iajs-2702	309	11	↑	↑	PROPN
iajs-2702	309	12	şᶃ(ʈ𝒊	şᶃ(ʈ𝒊	PROPN
iajs-2702	309	13	,	,	PUNCT
iajs-2702	309	14	ᶅ	ᶅ	NOUN
iajs-2702	309	15	)	)	PUNCT
iajs-2702	309	16	,	,	PUNCT
iajs-2702	309	17	where	where	SCONJ
iajs-2702	309	18	𝑖	𝑖	ADP
iajs-2702	309	19	=	=	PUNCT
iajs-2702	309	20	{	{	PUNCT
iajs-2702	309	21	0,1,2	0,1,2	NOUN
iajs-2702	309	22	}	}	PUNCT
iajs-2702	309	23	.	.	PUNCT
iajs-2702	310	1	the	the	DET
iajs-2702	310	2	following	follow	VERB
iajs-2702	310	3	(	(	PUNCT
iajs-2702	310	4	figure	figure	NOUN
iajs-2702	310	5	)	)	PUNCT
iajs-2702	310	6	clarifies	clarify	VERB
iajs-2702	310	7	relationships	relationship	NOUN
iajs-2702	310	8	in	in	ADP
iajs-2702	310	9	theorem	theorem	ADJ
iajs-2702	310	10	5.6	5.6	NUM
iajs-2702	310	11	,	,	PUNCT
iajs-2702	310	12	theorem	theorem	VERB
iajs-2702	310	13	5.14	5.14	NUM
iajs-2702	310	14	,	,	PUNCT
iajs-2702	310	15	theorem	theorem	VERB
iajs-2702	310	16	5.21	5.21	NUM
iajs-2702	310	17	and	and	CCONJ
iajs-2702	310	18	remark	remark	NOUN
iajs-2702	310	19	5.25	5.25	NUM
iajs-2702	310	20	.	.	PUNCT
iajs-2702	311	1	pⅱ	pⅱ	NOUN
iajs-2702	311	2	↑	↑	NOUN
iajs-2702	311	3	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	311	4	,	,	PUNCT
iajs-2702	311	5	ӽ	ӽ	X
iajs-2702	311	6	)	)	PUNCT
iajs-2702	311	7	pⅱ	pⅱ	NOUN
iajs-2702	311	8	↑	↑	NOUN
iajs-2702	311	9	şᶃ(ʈ	şᶃ(ʈ	NUM
iajs-2702	311	10	1	1	NUM
iajs-2702	311	11	,	,	PUNCT
iajs-2702	311	12	ӽ	ӽ	X
iajs-2702	311	13	)	)	PUNCT
iajs-2702	311	14	pⅱ	pⅱ	NOUN
iajs-2702	311	15	↑	↑	NOUN
iajs-2702	311	16	şᶃ(ʈ	şᶃ(ʈ	PROPN
iajs-2702	311	17	0	0	NUM
iajs-2702	311	18	,	,	PUNCT
iajs-2702	311	19	ӽ	ӽ	X
iajs-2702	311	20	)	)	PUNCT
iajs-2702	311	21	(	(	PUNCT
iajs-2702	311	22	ӽ	ӽ	X
iajs-2702	311	23	,	,	PUNCT
iajs-2702	311	24	ʈ	ʈ	X
iajs-2702	311	25	,	,	PUNCT
iajs-2702	311	26	ɖ	ɖ	X
iajs-2702	311	27	)	)	PUNCT
iajs-2702	311	28	is	be	AUX
iajs-2702	311	29	a	a	DET
iajs-2702	311	30	soft	soft	ADJ
iajs-2702	311	31	-	-	PUNCT
iajs-2702	311	32	ʈ2­𝑠𝑝𝑎𝑐𝑒	ʈ2­𝑠𝑝𝑎𝑐𝑒	ADV
iajs-2702	311	33	(	(	PUNCT
iajs-2702	311	34	ӽ	ӽ	NOUN
iajs-2702	311	35	,	,	PUNCT
iajs-2702	311	36	ʈ	ʈ	X
iajs-2702	311	37	,	,	PUNCT
iajs-2702	311	38	ɖ	ɖ	X
iajs-2702	311	39	)	)	PUNCT
iajs-2702	311	40	is	be	AUX
iajs-2702	311	41	a	a	DET
iajs-2702	311	42	soft	soft	ADJ
iajs-2702	311	43	-	-	PUNCT
iajs-2702	311	44	ʈ1­𝑠𝑝𝑎𝑐𝑒	ʈ1­𝑠𝑝𝑎𝑐𝑒	NOUN
iajs-2702	311	45	(	(	PUNCT
iajs-2702	311	46	ӽ	ӽ	NOUN
iajs-2702	311	47	,	,	PUNCT
iajs-2702	311	48	ʈ	ʈ	X
iajs-2702	311	49	,	,	PUNCT
iajs-2702	311	50	ɖ	ɖ	X
iajs-2702	311	51	)	)	PUNCT
iajs-2702	311	52	is	be	AUX
iajs-2702	311	53	a	a	DET
iajs-2702	311	54	soft	soft	ADJ
iajs-2702	311	55	-	-	PUNCT
iajs-2702	311	56	ʈ0­𝑠𝑝𝑎𝑐𝑒	ʈ0­𝑠𝑝𝑎𝑐𝑒	ADV
iajs-2702	311	57	pⅰ	pⅰ	NOUN
iajs-2702	311	58	⤉	⤉	ADJ
iajs-2702	311	59	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	311	60	,	,	PUNCT
iajs-2702	311	61	ӽ	ӽ	X
iajs-2702	311	62	)	)	PUNCT
iajs-2702	311	63	pⅰ	pⅰ	PROPN
iajs-2702	311	64	⤉	⤉	ADJ
iajs-2702	311	65	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	311	66	,	,	PUNCT
iajs-2702	311	67	ӽ	ӽ	NOUN
iajs-2702	311	68	)	)	PUNCT
iajs-2702	311	69	pⅰ	pⅰ	PROPN
iajs-2702	311	70	⤉	⤉	PROPN
iajs-2702	311	71	şᶃ(ʈ0	şᶃ(ʈ0	PROPN
iajs-2702	311	72	,	,	PUNCT
iajs-2702	311	73	ӽ	ӽ	X
iajs-2702	311	74	)	)	PUNCT
iajs-2702	311	75	ibn	ibn	PROPN
iajs-2702	311	76	al	al	PROPN
iajs-2702	311	77	-	-	PUNCT
iajs-2702	311	78	haitham	haitham	PROPN
iajs-2702	311	79	jour	jour	X
iajs-2702	311	80	.	.	PROPN
iajs-2702	312	1	for	for	ADP
iajs-2702	312	2	pure	pure	ADJ
iajs-2702	312	3	&	&	CCONJ
iajs-2702	312	4	appl	appl	PROPN
iajs-2702	312	5	.	.	PUNCT
iajs-2702	313	1	sci	sci	PROPN
iajs-2702	313	2	.	.	PROPN
iajs-2702	314	1	34(4)2021	34(4)2021	NUM
iajs-2702	314	2	56	56	NUM
iajs-2702	314	3	figure	figure	NOUN
iajs-2702	314	4	2.the	2.the	NOUN
iajs-2702	314	5	winning	winning	NOUN
iajs-2702	314	6	and	and	CCONJ
iajs-2702	314	7	losing	lose	VERB
iajs-2702	314	8	strategy	strategy	NOUN
iajs-2702	314	9	for	for	ADP
iajs-2702	314	10	any	any	DET
iajs-2702	314	11	player	player	NOUN
iajs-2702	314	12	in	in	ADP
iajs-2702	314	13	şᶃ(ʈ𝑖	şᶃ(ʈ𝑖	PROPN
iajs-2702	314	14	,	,	PUNCT
iajs-2702	314	15	ӽ	ӽ	X
iajs-2702	314	16	)	)	PUNCT
iajs-2702	314	17	and	and	CCONJ
iajs-2702	314	18	şᶃ(ʈ𝑖	şᶃ(ʈ𝑖	PROPN
iajs-2702	314	19	,	,	PUNCT
iajs-2702	314	20	ᶅ	ᶅ	NOUN
iajs-2702	314	21	)	)	PUNCT
iajs-2702	314	22	where	where	SCONJ
iajs-2702	314	23	i={0,1,2	i={0,1,2	ADJ
iajs-2702	314	24	}	}	PUNCT
iajs-2702	314	25	.	.	PUNCT
iajs-2702	315	1	remark	remark	PROPN
iajs-2702	315	2	5.26	5.26	NUM
iajs-2702	315	3	.	.	PUNCT
iajs-2702	316	1	for	for	ADP
iajs-2702	316	2	a	a	DET
iajs-2702	316	3	space	space	NOUN
iajs-2702	316	4	(	(	PUNCT
iajs-2702	316	5	ӽ	ӽ	NOUN
iajs-2702	316	6	,	,	PUNCT
iajs-2702	316	7	ʈ	ʈ	X
iajs-2702	316	8	,	,	PUNCT
iajs-2702	316	9	ᶅ	ᶅ	NOUN
iajs-2702	316	10	):	):	PUNCT
iajs-2702	316	11	iif	iif	PROPN
iajs-2702	316	12	pⅰ	pⅰ	PROPN
iajs-2702	316	13	↑	↑	PROPN
iajs-2702	316	14	şᶃ(ʈ𝑖	şᶃ(ʈ𝑖	PROPN
iajs-2702	316	15	,	,	PUNCT
iajs-2702	316	16	ӽ	ӽ	X
iajs-2702	316	17	,	,	PUNCT
iajs-2702	316	18	ᶅ	ᶅ	NOUN
iajs-2702	316	19	)	)	PUNCT
iajs-2702	316	20	then	then	ADV
iajs-2702	316	21	pⅰ	pⅰ	PROPN
iajs-2702	316	22	↑	↑	PROPN
iajs-2702	316	23	şᶃ(ʈ𝑖+1	şᶃ(ʈ𝑖+1	PROPN
iajs-2702	316	24	,	,	PUNCT
iajs-2702	316	25	ӽ	ӽ	NOUN
iajs-2702	316	26	,	,	PUNCT
iajs-2702	316	27	ᶅ	ᶅ	NOUN
iajs-2702	316	28	)	)	PUNCT
iajs-2702	316	29	,	,	PUNCT
iajs-2702	316	30	where	where	SCONJ
iajs-2702	316	31	𝑖	𝑖	ADP
iajs-2702	316	32	=	=	SYM
iajs-2702	316	33	{	{	PUNCT
iajs-2702	316	34	0,1	0,1	NUM
iajs-2702	316	35	}	}	PUNCT
iajs-2702	316	36	.	.	PUNCT
iajs-2702	317	1	iiif	iiif	PROPN
iajs-2702	317	2	pⅰ	pⅰ	PROPN
iajs-2702	317	3	↑	↑	PROPN
iajs-2702	317	4	şᶃ(ʈ𝑖	şᶃ(ʈ𝑖	PROPN
iajs-2702	317	5	,	,	PUNCT
iajs-2702	317	6	ӽ	ӽ	X
iajs-2702	317	7	,	,	PUNCT
iajs-2702	317	8	ᶅ	ᶅ	NOUN
iajs-2702	317	9	)	)	PUNCT
iajs-2702	317	10	then	then	ADV
iajs-2702	317	11	pⅰ	pⅰ	PROPN
iajs-2702	317	12	↑	↑	PROPN
iajs-2702	317	13	şᶃ(ʈ𝑖	şᶃ(ʈ𝑖	PROPN
iajs-2702	317	14	,	,	PUNCT
iajs-2702	317	15	ӽ	ӽ	NOUN
iajs-2702	317	16	)	)	PUNCT
iajs-2702	317	17	,	,	PUNCT
iajs-2702	317	18	where	where	SCONJ
iajs-2702	317	19	𝑖	𝑖	ADP
iajs-2702	317	20	=	=	PUNCT
iajs-2702	317	21	{	{	PUNCT
iajs-2702	317	22	0,1,2	0,1,2	NOUN
iajs-2702	317	23	}	}	PUNCT
iajs-2702	317	24	.	.	PUNCT
iajs-2702	318	1	the	the	DET
iajs-2702	318	2	following	follow	VERB
iajs-2702	318	3	(	(	PUNCT
iajs-2702	318	4	figure	figure	NOUN
iajs-2702	318	5	)	)	PUNCT
iajs-2702	318	6	clarifies	clarify	VERB
iajs-2702	318	7	relationships	relationship	NOUN
iajs-2702	318	8	in	in	ADP
iajs-2702	318	9	theorem	theorem	ADJ
iajs-2702	318	10	5.8	5.8	NUM
iajs-2702	318	11	,	,	PUNCT
iajs-2702	318	12	theorem	theorem	VERB
iajs-2702	318	13	5.16	5.16	NUM
iajs-2702	318	14	,	,	PUNCT
iajs-2702	318	15	theorem	theorem	VERB
iajs-2702	318	16	5.23	5.23	NUM
iajs-2702	318	17	and	and	CCONJ
iajs-2702	318	18	remark	remark	NOUN
iajs-2702	318	19	5.26	5.26	NUM
iajs-2702	318	20	.	.	PUNCT
iajs-2702	319	1	figure	figure	VERB
iajs-2702	319	2	3.the	3.the	PRON
iajs-2702	319	3	winning	win	VERB
iajs-2702	319	4	and	and	CCONJ
iajs-2702	319	5	losing	lose	VERB
iajs-2702	319	6	strategy	strategy	NOUN
iajs-2702	319	7	where	where	SCONJ
iajs-2702	319	8	ӽ	ӽ	NOUN
iajs-2702	319	9	is	be	AUX
iajs-2702	319	10	not	not	PART
iajs-2702	319	11	𝑠ᶅ𝑝𝑔-ʈi	𝑠ᶅ𝑝𝑔-ʈi	NOUN
iajs-2702	319	12	-	-	PUNCT
iajs-2702	319	13	space	space	NOUN
iajs-2702	319	14	and	and	CCONJ
iajs-2702	319	15	not	not	PART
iajs-2702	319	16	soft	soft	ADJ
iajs-2702	319	17	ʈi	ʈi	NOUN
iajs-2702	319	18	-	-	PUNCT
iajs-2702	319	19	space	space	NOUN
iajs-2702	319	20	.	.	PUNCT
iajs-2702	320	1	pⅱ	pⅱ	NOUN
iajs-2702	320	2	↑	↑	PROPN
iajs-2702	320	3	şᶃ(ʈ	şᶃ(ʈ	NUM
iajs-2702	320	4	2	2	NUM
iajs-2702	320	5	,	,	PUNCT
iajs-2702	320	6	ӽ	ӽ	NOUN
iajs-2702	320	7	,	,	PUNCT
iajs-2702	320	8	ᶅ	ᶅ	NOUN
iajs-2702	320	9	)	)	PUNCT
iajs-2702	320	10	pⅱ	pⅱ	NOUN
iajs-2702	320	11	↑	↑	NOUN
iajs-2702	320	12	şᶃ(ʈ	şᶃ(ʈ	NUM
iajs-2702	320	13	1	1	NUM
iajs-2702	320	14	,	,	PUNCT
iajs-2702	320	15	ӽ	ӽ	NOUN
iajs-2702	320	16	,	,	PUNCT
iajs-2702	320	17	ᶅ	ᶅ	NOUN
iajs-2702	320	18	)	)	PUNCT
iajs-2702	320	19	pⅱ	pⅱ	NOUN
iajs-2702	320	20	↑	↑	NOUN
iajs-2702	320	21	şᶃ(ʈ	şᶃ(ʈ	PROPN
iajs-2702	320	22	0	0	NUM
iajs-2702	320	23	,	,	PUNCT
iajs-2702	320	24	ӽ	ӽ	X
iajs-2702	320	25	,	,	PUNCT
iajs-2702	320	26	ᶅ	ᶅ	NOUN
iajs-2702	320	27	)	)	PUNCT
iajs-2702	320	28	plⅱ	plⅱ	PROPN
iajs-2702	320	29	⤉	⤉	ADJ
iajs-2702	320	30	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	320	31	,	,	PUNCT
iajs-2702	320	32	ӽ	ӽ	X
iajs-2702	320	33	)	)	PUNCT
iajs-2702	320	34	pⅱ	pⅱ	NOUN
iajs-2702	320	35	⤉	⤉	VERB
iajs-2702	320	36	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	320	37	,	,	PUNCT
iajs-2702	320	38	ӽ	ӽ	X
iajs-2702	320	39	)	)	PUNCT
iajs-2702	320	40	pⅱ	pⅱ	NOUN
iajs-2702	320	41	⤉	⤉	PROPN
iajs-2702	320	42	şᶃ(ʈ0	şᶃ(ʈ0	PROPN
iajs-2702	320	43	,	,	PUNCT
iajs-2702	320	44	ӽ	ӽ	X
iajs-2702	320	45	)	)	PUNCT
iajs-2702	320	46	(	(	PUNCT
iajs-2702	320	47	ӽ	ӽ	X
iajs-2702	320	48	,	,	PUNCT
iajs-2702	320	49	ʈ	ʈ	X
iajs-2702	320	50	,	,	PUNCT
iajs-2702	320	51	ɖ	ɖ	NOUN
iajs-2702	320	52	,	,	PUNCT
iajs-2702	320	53	ᶅ	ᶅ	NOUN
iajs-2702	320	54	)	)	PUNCT
iajs-2702	320	55	is	be	AUX
iajs-2702	320	56	𝑠ᶅ𝑝𝑔­ʈ2­𝑠𝑝𝑎𝑐𝑒	𝑠ᶅ𝑝𝑔­ʈ2­𝑠𝑝𝑎𝑐𝑒	ADV
iajs-2702	320	57	(	(	PUNCT
iajs-2702	320	58	ӽ	ӽ	X
iajs-2702	320	59	,	,	PUNCT
iajs-2702	320	60	ʈ	ʈ	X
iajs-2702	320	61	,	,	PUNCT
iajs-2702	320	62	ɖ	ɖ	NOUN
iajs-2702	320	63	,	,	PUNCT
iajs-2702	320	64	ᶅ	ᶅ	NOUN
iajs-2702	320	65	)	)	PUNCT
iajs-2702	320	66	is	be	AUX
iajs-2702	320	67	𝑠ᶅ𝑝𝑔­ʈ1­𝑠𝑝𝑎𝑐𝑒	𝑠ᶅ𝑝𝑔­ʈ1­𝑠𝑝𝑎𝑐𝑒	ADJ
iajs-2702	320	68	(	(	PUNCT
iajs-2702	320	69	ӽ	ӽ	NOUN
iajs-2702	320	70	,	,	PUNCT
iajs-2702	320	71	ʈ	ʈ	X
iajs-2702	320	72	,	,	PUNCT
iajs-2702	320	73	ɖ	ɖ	NOUN
iajs-2702	320	74	,	,	PUNCT
iajs-2702	320	75	ᶅ	ᶅ	NOUN
iajs-2702	320	76	)	)	PUNCT
iajs-2702	320	77	is	be	AUX
iajs-2702	320	78	𝑠ᶅ𝑝𝑔­ʈ0­𝑠𝑝𝑎𝑐𝑒	𝑠ᶅ𝑝𝑔­ʈ0­𝑠𝑝𝑎𝑐𝑒	ADJ
iajs-2702	320	79	pⅱ	pⅱ	NOUN
iajs-2702	320	80	⤉	⤉	ADJ
iajs-2702	320	81	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	320	82	,	,	PUNCT
iajs-2702	320	83	ӽ	ӽ	NOUN
iajs-2702	320	84	,	,	PUNCT
iajs-2702	320	85	ᶅ	ᶅ	NOUN
iajs-2702	320	86	)	)	PUNCT
iajs-2702	320	87	pⅰ	pⅰ	PROPN
iajs-2702	320	88	⤉	⤉	ADJ
iajs-2702	320	89	şᶃ(ʈ	şᶃ(ʈ	NOUN
iajs-2702	320	90	2	2	NUM
iajs-2702	320	91	,	,	PUNCT
iajs-2702	320	92	ӽ	ӽ	NOUN
iajs-2702	320	93	,	,	PUNCT
iajs-2702	320	94	ᶅ	ᶅ	NOUN
iajs-2702	320	95	)	)	PUNCT
iajs-2702	321	1	pⅰ	pⅰ	PROPN
iajs-2702	321	2	⤉	⤉	ADJ
iajs-2702	321	3	şᶃ(ʈ	şᶃ(ʈ	NOUN
iajs-2702	321	4	1	1	NUM
iajs-2702	321	5	,	,	PUNCT
iajs-2702	321	6	ӽ	ӽ	NOUN
iajs-2702	321	7	,	,	PUNCT
iajs-2702	321	8	ᶅ	ᶅ	NOUN
iajs-2702	321	9	)	)	PUNCT
iajs-2702	321	10	pⅰ	pⅰ	NOUN
iajs-2702	321	11	⤉	⤉	ADJ
iajs-2702	321	12	şᶃ(ʈ	şᶃ(ʈ	NOUN
iajs-2702	321	13	0	0	NUM
iajs-2702	321	14	,	,	PUNCT
iajs-2702	321	15	ӽ	ӽ	X
iajs-2702	321	16	,	,	PUNCT
iajs-2702	321	17	ᶅ	ᶅ	NOUN
iajs-2702	321	18	)	)	PUNCT
iajs-2702	321	19	pⅱ	pⅱ	NOUN
iajs-2702	321	20	⤉	⤉	VERB
iajs-2702	321	21	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	321	22	,	,	PUNCT
iajs-2702	321	23	ӽ	ӽ	X
iajs-2702	321	24	,	,	PUNCT
iajs-2702	321	25	ᶅ	ᶅ	NOUN
iajs-2702	321	26	)	)	PUNCT
iajs-2702	321	27	pⅱ	pⅱ	NOUN
iajs-2702	321	28	⤉	⤉	PROPN
iajs-2702	321	29	şᶃ(ʈ0	şᶃ(ʈ0	PROPN
iajs-2702	321	30	,	,	PUNCT
iajs-2702	321	31	ӽ	ӽ	X
iajs-2702	321	32	,	,	PUNCT
iajs-2702	321	33	ᶅ	ᶅ	NOUN
iajs-2702	321	34	)	)	PUNCT
iajs-2702	321	35	pⅰ	pⅰ	PROPN
iajs-2702	321	36	↑	↑	NOUN
iajs-2702	321	37	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	321	38	,	,	PUNCT
iajs-2702	321	39	ӽ	ӽ	X
iajs-2702	321	40	)	)	PUNCT
iajs-2702	321	41	pⅰ	pⅰ	PROPN
iajs-2702	321	42	↑	↑	NOUN
iajs-2702	321	43	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	321	44	,	,	PUNCT
iajs-2702	321	45	ӽ	ӽ	X
iajs-2702	321	46	)	)	PUNCT
iajs-2702	321	47	pⅰ	pⅰ	PROPN
iajs-2702	321	48	↑	↑	PROPN
iajs-2702	321	49	şᶃ(ʈ0	şᶃ(ʈ0	PROPN
iajs-2702	321	50	,	,	PUNCT
iajs-2702	321	51	ӽ	ӽ	X
iajs-2702	321	52	)	)	PUNCT
iajs-2702	321	53	pⅰ	pⅰ	PROPN
iajs-2702	321	54	↑	↑	NOUN
iajs-2702	321	55	şᶃ(ʈ2	şᶃ(ʈ2	NOUN
iajs-2702	321	56	,	,	PUNCT
iajs-2702	321	57	ӽ	ӽ	NOUN
iajs-2702	321	58	,	,	PUNCT
iajs-2702	321	59	ᶅ	ᶅ	NOUN
iajs-2702	321	60	)	)	PUNCT
iajs-2702	321	61	pⅰ	pⅰ	PROPN
iajs-2702	321	62	↑	↑	NOUN
iajs-2702	321	63	şᶃ(ʈ1	şᶃ(ʈ1	PROPN
iajs-2702	321	64	,	,	PUNCT
iajs-2702	321	65	ӽ	ӽ	X
iajs-2702	321	66	,	,	PUNCT
iajs-2702	321	67	ᶅ	ᶅ	NOUN
iajs-2702	321	68	)	)	PUNCT
iajs-2702	321	69	pⅰ	pⅰ	PROPN
iajs-2702	321	70	↑	↑	PROPN
iajs-2702	321	71	şᶃ(ʈ0	şᶃ(ʈ0	PROPN
iajs-2702	321	72	,	,	PUNCT
iajs-2702	321	73	ӽ	ӽ	X
iajs-2702	321	74	,	,	PUNCT
iajs-2702	321	75	ᶅ	ᶅ	NOUN
iajs-2702	321	76	)	)	PUNCT
iajs-2702	321	77	(	(	PUNCT
iajs-2702	321	78	ӽ	ӽ	X
iajs-2702	321	79	,	,	PUNCT
iajs-2702	321	80	ʈ	ʈ	X
iajs-2702	321	81	,	,	PUNCT
iajs-2702	321	82	ɖ	ɖ	X
iajs-2702	321	83	)	)	PUNCT
iajs-2702	321	84	is	be	AUX
iajs-2702	321	85	not	not	PART
iajs-2702	321	86	a	a	DET
iajs-2702	321	87	soft	soft	ADJ
iajs-2702	321	88	-	-	PUNCT
iajs-2702	321	89	ʈ2­𝑠𝑝𝑎𝑐𝑒	ʈ2­𝑠𝑝𝑎𝑐𝑒	ADV
iajs-2702	321	90	(	(	PUNCT
iajs-2702	321	91	ӽ	ӽ	NOUN
iajs-2702	321	92	,	,	PUNCT
iajs-2702	321	93	ʈ	ʈ	X
iajs-2702	321	94	,	,	PUNCT
iajs-2702	321	95	ɖ	ɖ	X
iajs-2702	321	96	)	)	PUNCT
iajs-2702	321	97	is	be	AUX
iajs-2702	321	98	not	not	PART
iajs-2702	321	99	a	a	DET
iajs-2702	321	100	soft	soft	ADJ
iajs-2702	321	101	-	-	PUNCT
iajs-2702	321	102	ʈ1­𝑠𝑝𝑎𝑐𝑒	ʈ1­𝑠𝑝𝑎𝑐𝑒	NOUN
iajs-2702	321	103	(	(	PUNCT
iajs-2702	321	104	ӽ	ӽ	NOUN
iajs-2702	321	105	,	,	PUNCT
iajs-2702	321	106	ʈ	ʈ	X
iajs-2702	321	107	,	,	PUNCT
iajs-2702	321	108	ɖ	ɖ	X
iajs-2702	321	109	)	)	PUNCT
iajs-2702	321	110	is	be	AUX
iajs-2702	321	111	not	not	PART
iajs-2702	321	112	a	a	DET
iajs-2702	321	113	soft	soft	ADJ
iajs-2702	321	114	-	-	PUNCT
iajs-2702	321	115	ʈ0­𝑠𝑝𝑎𝑐𝑒	ʈ0­𝑠𝑝𝑎𝑐𝑒	NOUN
iajs-2702	321	116	(	(	PUNCT
iajs-2702	321	117	ӽ	ӽ	NOUN
iajs-2702	321	118	,	,	PUNCT
iajs-2702	321	119	ʈ	ʈ	X
iajs-2702	321	120	,	,	PUNCT
iajs-2702	321	121	ɖ	ɖ	NOUN
iajs-2702	321	122	,	,	PUNCT
iajs-2702	321	123	ᶅ	ᶅ	NOUN
iajs-2702	321	124	)	)	PUNCT
iajs-2702	321	125	is	be	AUX
iajs-2702	321	126	not	not	PART
iajs-2702	321	127	a	a	DET
iajs-2702	321	128	𝑠ᶅ𝑝𝑔­ʈ2­𝑠𝑝𝑎𝑐𝑒	𝑠ᶅ𝑝𝑔­ʈ2­𝑠𝑝𝑎𝑐𝑒	NOUN
iajs-2702	321	129	(	(	PUNCT
iajs-2702	321	130	ӽ	ӽ	NOUN
iajs-2702	321	131	,	,	PUNCT
iajs-2702	321	132	ʈ	ʈ	X
iajs-2702	321	133	,	,	PUNCT
iajs-2702	321	134	ɖ	ɖ	NOUN
iajs-2702	321	135	,	,	PUNCT
iajs-2702	321	136	ᶅ	ᶅ	NOUN
iajs-2702	321	137	)	)	PUNCT
iajs-2702	321	138	is	be	AUX
iajs-2702	321	139	not	not	PART
iajs-2702	321	140	a	a	DET
iajs-2702	321	141	𝑠ᶅ𝑝𝑔­ʈ1­𝑠𝑝𝑎𝑐𝑒	𝑠ᶅ𝑝𝑔­ʈ1­𝑠𝑝𝑎𝑐𝑒	ADV
iajs-2702	321	142	(	(	PUNCT
iajs-2702	321	143	ӽ	ӽ	NOUN
iajs-2702	321	144	,	,	PUNCT
iajs-2702	321	145	ʈ	ʈ	X
iajs-2702	321	146	,	,	PUNCT
iajs-2702	321	147	ɖ	ɖ	NOUN
iajs-2702	321	148	,	,	PUNCT
iajs-2702	321	149	ᶅ	ᶅ	NOUN
iajs-2702	321	150	)	)	PUNCT
iajs-2702	321	151	is	be	AUX
iajs-2702	321	152	not	not	PART
iajs-2702	321	153	a	a	DET
iajs-2702	321	154	𝑠ᶅ𝑝𝑔­ʈ0­𝑠𝑝𝑎𝑐𝑒	𝑠ᶅ𝑝𝑔­ʈ0­𝑠𝑝𝑎𝑐𝑒	ADJ
iajs-2702	321	155	ibn	ibn	PROPN
iajs-2702	321	156	al	al	PROPN
iajs-2702	321	157	-	-	PUNCT
iajs-2702	321	158	haitham	haitham	PROPN
iajs-2702	321	159	jour	jour	X
iajs-2702	321	160	.	.	PROPN
iajs-2702	322	1	for	for	ADP
iajs-2702	322	2	pure	pure	ADJ
iajs-2702	322	3	&	&	CCONJ
iajs-2702	322	4	appl	appl	PROPN
iajs-2702	322	5	.	.	PUNCT
iajs-2702	323	1	sci	sci	PROPN
iajs-2702	323	2	.	.	PROPN
iajs-2702	324	1	34(4)2021	34(4)2021	NUM
iajs-2702	324	2	57	57	NUM
iajs-2702	324	3	𝐑𝐞𝐟𝐞𝐫𝐞𝐧𝐜𝐞𝐬	𝐑𝐞𝐟𝐞𝐫𝐞𝐧𝐜𝐞𝐬	PROPN
iajs-2702	324	4	1	1	NUM
iajs-2702	324	5	.	.	PUNCT
iajs-2702	324	6	shabir	shabir	PROPN
iajs-2702	324	7	,	,	PUNCT
iajs-2702	324	8	m	m	PROPN
iajs-2702	324	9	;	;	PUNCT
iajs-2702	324	10	naz	naz	PROPN
iajs-2702	324	11	,	,	PUNCT
iajs-2702	324	12	m.	m.	NOUN
iajs-2702	324	13	on	on	ADP
iajs-2702	324	14	soft	soft	ADJ
iajs-2702	324	15	to	to	ADP
iajs-2702	324	16	topological	topological	ADJ
iajs-2702	324	17	spaces	space	NOUN
iajs-2702	324	18	.	.	PUNCT
iajs-2702	324	19	com	com	NOUN
iajs-2702	324	20	put	put	VERB
iajs-2702	324	21	math	math	NOUN
iajs-2702	324	22	.appl	.appl	NOUN
iajs-2702	324	23	.	.	PUNCT
iajs-2702	324	24	2011	2011	NUM
iajs-2702	324	25	,	,	PUNCT
iajs-2702	324	26	61:1786	61:1786	NOUN
iajs-2702	324	27	-	-	SYM
iajs-2702	324	28	1799	1799	NUM
iajs-2702	324	29	.	.	PUNCT
iajs-2702	325	1	2	2	NUM
iajs-2702	325	2	.	.	X
iajs-2702	325	3	hussain	hussain	PROPN
iajs-2702	325	4	,	,	PUNCT
iajs-2702	325	5	s.	s.	PROPN
iajs-2702	325	6	;	;	PUNCT
iajs-2702	325	7	ahmad	ahmad	PROPN
iajs-2702	325	8	,	,	PUNCT
iajs-2702	325	9	b.	b.	PROPN
iajs-2702	325	10	soft	soft	ADJ
iajs-2702	325	11	separation	separation	NOUN
iajs-2702	325	12	axioms	axiom	NOUN
iajs-2702	325	13	in	in	ADP
iajs-2702	325	14	soft	soft	ADJ
iajs-2702	325	15	topological	topological	ADJ
iajs-2702	325	16	spaces	space	NOUN
iajs-2702	325	17	.	.	PUNCT
iajs-2702	326	1	hjms	hjms	NOUN
iajs-2702	326	2	.	.	PUNCT
iajs-2702	327	1	2015	2015	NUM
iajs-2702	327	2	,	,	PUNCT
iajs-2702	327	3	44(3	44(3	NUM
iajs-2702	327	4	):	):	PUNCT
iajs-2702	327	5	559	559	NUM
iajs-2702	327	6	-	-	SYM
iajs-2702	327	7	568	568	NUM
iajs-2702	327	8	.	.	PUNCT
iajs-2702	328	1	3	3	X
iajs-2702	328	2	.	.	X
iajs-2702	328	3	kadil	kadil	PROPN
iajs-2702	328	4	,	,	PUNCT
iajs-2702	328	5	a.	a.	NOUN
iajs-2702	328	6	;	;	PUNCT
iajs-2702	328	7	tantawy	tantawy	NUM
iajs-2702	328	8	,	,	PUNCT
iajs-2702	328	9	o.	o.	PROPN
iajs-2702	328	10	a.	a.	PROPN
iajs-2702	328	11	e.	e.	PROPN
iajs-2702	328	12	;	;	PUNCT
iajs-2702	329	1	el	el	PROPN
iajs-2702	329	2	-	-	PUNCT
iajs-2702	329	3	sheikn	sheikn	PROPN
iajs-2702	329	4	,	,	PUNCT
iajs-2702	329	5	s.	s.	PROPN
iajs-2702	329	6	a	a	PROPN
iajs-2702	329	7	;	;	PUNCT
iajs-2702	329	8	abd	abd	PROPN
iajs-2702	329	9	el	el	PROPN
iajs-2702	329	10	-	-	PROPN
iajs-2702	329	11	latif	latif	PROPN
iajs-2702	329	12	,	,	PUNCT
iajs-2702	329	13	a.	a.	NOUN
iajs-2702	329	14	m.	m.	NOUN
iajs-2702	329	15	γoperation	γoperation	NOUN
iajs-2702	329	16	and	and	CCONJ
iajs-2702	329	17	decompositions	decomposition	NOUN
iajs-2702	329	18	of	of	ADP
iajs-2702	329	19	some	some	DET
iajs-2702	329	20	forms	form	NOUN
iajs-2702	329	21	of	of	ADP
iajs-2702	329	22	soft	soft	ADJ
iajs-2702	329	23	continuity	continuity	NOUN
iajs-2702	329	24	in	in	ADP
iajs-2702	329	25	soft	soft	ADJ
iajs-2702	329	26	topological	topological	ADJ
iajs-2702	329	27	spaces	space	NOUN
iajs-2702	329	28	,	,	PUNCT
iajs-2702	329	29	afmi	afmi	PROPN
iajs-2702	329	30	.	.	PUNCT
iajs-2702	330	1	2014	2014	NUM
iajs-2702	331	1	7:181	7:181	NUM
iajs-2702	331	2	-	-	SYM
iajs-2702	331	3	196	196	NUM
iajs-2702	331	4	.	.	PUNCT
iajs-2702	332	1	4	4	X
iajs-2702	332	2	.	.	X
iajs-2702	332	3	abd	abd	PROPN
iajs-2702	332	4	el	el	PROPN
iajs-2702	332	5	-	-	PROPN
iajs-2702	332	6	latif	latif	PROPN
iajs-2702	332	7	,	,	PUNCT
iajs-2702	332	8	a.m.	a.m.	PROPN
iajs-2702	332	9	supra	supra	PROPN
iajs-2702	332	10	soft	soft	ADJ
iajs-2702	332	11	topological	topological	ADJ
iajs-2702	332	12	spaces	space	NOUN
iajs-2702	332	13	jo	jo	PROPN
iajs-2702	332	14	̈kull	̈kull	PROPN
iajs-2702	332	15	journal	journal	PROPN
iajs-2702	332	16	.	.	PUNCT
iajs-2702	333	1	2014	2014	NUM
iajs-2702	333	2	,	,	PUNCT
iajs-2702	333	3	8(4	8(4	NUM
iajs-2702	333	4	):	):	PUNCT
iajs-2702	333	5	17311740	17311740	NUM
iajs-2702	333	6	.	.	PUNCT
iajs-2702	334	1	5	5	NUM
iajs-2702	334	2	.	.	X
iajs-2702	334	3	kandil	kandil	PROPN
iajs-2702	334	4	,	,	PUNCT
iajs-2702	334	5	a.	a.	NOUN
iajs-2702	334	6	;	;	PUNCT
iajs-2702	334	7	tantawy	tantawy	NUM
iajs-2702	334	8	,	,	PUNCT
iajs-2702	334	9	o.	o.	PROPN
iajs-2702	334	10	a.	a.	PROPN
iajs-2702	334	11	e.	e.	PROPN
iajs-2702	334	12	;	;	PUNCT
iajs-2702	334	13	el	el	PROPN
iajs-2702	334	14	-	-	PUNCT
iajs-2702	334	15	sheikh	sheikh	PROPN
iajs-2702	334	16	,	,	PUNCT
iajs-2702	334	17	s.a	s.a	PROPN
iajs-2702	334	18	;	;	PUNCT
iajs-2702	334	19	abd	abd	PROPN
iajs-2702	334	20	el	el	PROPN
iajs-2702	334	21	-	-	PROPN
iajs-2702	334	22	latif	latif	PROPN
iajs-2702	334	23	,	,	PUNCT
iajs-2702	334	24	a	a	DET
iajs-2702	334	25	.m	.m	NOUN
iajs-2702	334	26	.	.	PUNCT
iajs-2702	335	1	(	(	PUNCT
iajs-2702	335	2	soft	soft	ADJ
iajs-2702	335	3	ideal	ideal	NOUN
iajs-2702	335	4	theory	theory	NOUN
iajs-2702	335	5	,	,	PUNCT
iajs-2702	335	6	soft	soft	ADJ
iajs-2702	335	7	local	local	ADJ
iajs-2702	335	8	function	function	NOUN
iajs-2702	335	9	and	and	CCONJ
iajs-2702	335	10	generated	generate	VERB
iajs-2702	335	11	soft	soft	ADJ
iajs-2702	335	12	topological	topological	ADJ
iajs-2702	335	13	spaces	space	NOUN
iajs-2702	335	14	,	,	PUNCT
iajs-2702	335	15	appl	appl	PROPN
iajs-2702	335	16	.math	.math	PRON
iajs-2702	335	17	.	.	PUNCT
iajs-2702	336	1	inf	inf	PROPN
iajs-2702	336	2	.sci	.sci	PUNCT
iajs-2702	336	3	.	.	PUNCT
iajs-2702	337	1	2014,8(4	2014,8(4	NUM
iajs-2702	337	2	):	):	PUNCT
iajs-2702	337	3	1595	1595	NUM
iajs-2702	337	4	-	-	SYM
iajs-2702	337	5	1603	1603	NUM
iajs-2702	337	6	.	.	PUNCT
iajs-2702	338	1	6	6	NUM
iajs-2702	338	2	.	.	X
iajs-2702	338	3	nasaf	nasaf	NOUN
iajs-2702	338	4	,	,	PUNCT
iajs-2702	338	5	a.	a.	NOUN
iajs-2702	338	6	a.	a.	NOUN
iajs-2702	338	7	;	;	PUNCT
iajs-2702	338	8	radwan	radwan	NOUN
iajs-2702	338	9	,	,	PUNCT
iajs-2702	338	10	a.	a.	PROPN
iajs-2702	338	11	e.	e.	PROPN
iajs-2702	338	12	;	;	PUNCT
iajs-2702	338	13	ibrahem	ibrahem	PROPN
iajs-2702	338	14	,	,	PUNCT
iajs-2702	338	15	f.	f.	PROPN
iajs-2702	338	16	;	;	PUNCT
iajs-2702	338	17	esmaeel	esmaeel	VERB
iajs-2702	338	18	,	,	PUNCT
iajs-2702	338	19	r.	r.	PROPN
iajs-2702	338	20	b.	b.	PROPN
iajs-2702	338	21	(	(	PUNCT
iajs-2702	338	22	)	)	PUNCT
iajs-2702	338	23	soft	soft	ADJ
iajs-2702	338	24	α	α	NOUN
iajs-2702	338	25	-	-	NOUN
iajs-2702	338	26	compactness	compactness	NOUN
iajs-2702	338	27	,	,	PUNCT
iajs-2702	338	28	via	via	ADP
iajs-2702	338	29	soft	soft	ADJ
iajs-2702	338	30	ideals	ideal	NOUN
iajs-2702	338	31	,	,	PUNCT
iajs-2702	338	32	jou	jou	INTJ
iajs-2702	338	33	.	.	PUNCT
iajs-2702	338	34	of	of	ADP
iajs-2702	338	35	advances	advance	NOUN
iajs-2702	338	36	in	in	ADP
iajs-2702	338	37	math	math	NOUN
iajs-2702	338	38	,	,	PUNCT
iajs-2702	338	39	june	june	PROPN
iajs-2702	338	40	.	.	PROPN
iajs-2702	339	1	2016	2016	NUM
iajs-2702	339	2	,	,	PUNCT
iajs-2702	339	3	12(4	12(4	NUM
iajs-2702	339	4	):	):	PUNCT
iajs-2702	339	5	6178	6178	NUM
iajs-2702	339	6	-	-	SYM
iajs-2702	339	7	6184	6184	NUM
iajs-2702	339	8	.	.	PUNCT
iajs-2702	340	1	7	7	X
iajs-2702	340	2	.	.	X
iajs-2702	340	3	esmaeel	esmaeel	PROPN
iajs-2702	340	4	,	,	PUNCT
iajs-2702	340	5	r.	r.	PROPN
iajs-2702	340	6	b.	b.	PROPN
iajs-2702	340	7	;	;	PUNCT
iajs-2702	340	8	naser	naser	PROPN
iajs-2702	340	9	,	,	PUNCT
iajs-2702	340	10	a.	a.	NOUN
iajs-2702	340	11	i.	i.	PROPN
iajs-2702	340	12	some	some	DET
iajs-2702	340	13	properties	property	NOUN
iajs-2702	340	14	of	of	ADP
iajs-2702	340	15	-	-	PUNCT
iajs-2702	340	16	ĩ	ĩ	NOUN
iajs-2702	340	17	-	-	PUNCT
iajs-2702	340	18	semi	semi	ADV
iajs-2702	340	19	open	open	ADJ
iajs-2702	340	20	soft	soft	ADJ
iajs-2702	340	21	sets	set	NOUN
iajs-2702	340	22	with	with	ADP
iajs-2702	340	23	respect	respect	NOUN
iajs-2702	340	24	to	to	ADP
iajs-2702	340	25	soft	soft	ADJ
iajs-2702	340	26	ideals	ideal	NOUN
iajs-2702	340	27	,	,	PUNCT
iajs-2702	340	28	ijpam	ijpam	NOUN
iajs-2702	340	29	.	.	PUNCT
iajs-2702	341	1	2016,4	2016,4	NOUN
iajs-2702	341	2	:	:	PUNCT
iajs-2702	341	3	545	545	NUM
iajs-2702	341	4	-	-	SYM
iajs-2702	341	5	561	561	NUM
iajs-2702	341	6	.	.	NOUN
iajs-2702	342	1	8	8	NUM
iajs-2702	342	2	.	.	X
iajs-2702	342	3	esmaeel	esmaeel	PROPN
iajs-2702	342	4	,	,	PUNCT
iajs-2702	342	5	r.	r.	PROPN
iajs-2702	342	6	b.	b.	PROPN
iajs-2702	342	7	;	;	PUNCT
iajs-2702	343	1	nasir	nasir	PROPN
iajs-2702	343	2	,	,	PUNCT
iajs-2702	343	3	a.	a.	NOUN
iajs-2702	343	4	i.	i.	PROPN
iajs-2702	343	5	;	;	PUNCT
iajs-2702	343	6	bayda	bayda	VERB
iajs-2702	343	7	atiya	atiya	PROPN
iajs-2702	343	8	kalaf	kalaf	PROPN
iajs-2702	343	9	.	.	PUNCT
iajs-2702	344	1	(	(	PUNCT
iajs-2702	344	2	)	)	PUNCT
iajs-2702	344	3	on	on	ADP
iajs-2702	344	4	α	α	PROPN
iajs-2702	344	5	-	-	PUNCT
iajs-2702	344	6	gĩ	gĩ	PRON
iajs-2702	344	7	-	-	PUNCT
iajs-2702	344	8	closed	close	VERB
iajs-2702	344	9	soft	soft	ADJ
iajs-2702	344	10	sets	set	NOUN
iajs-2702	344	11	,	,	PUNCT
iajs-2702	344	12	sci	sci	PROPN
iajs-2702	344	13	.	.	PUNCT
iajs-2702	344	14	inter	inter	PROPN
iajs-2702	344	15	.	.	PUNCT
iajs-2702	345	1	(	(	PUNCT
iajs-2702	345	2	lahore	lahore	NOUN
iajs-2702	345	3	)	)	PUNCT
iajs-2702	345	4	,	,	PUNCT
iajs-2702	345	5	2018	2018	NUM
iajs-2702	345	6	,	,	PUNCT
iajs-2702	345	7	30(5	30(5	NUM
iajs-2702	345	8	):	):	PUNCT
iajs-2702	345	9	703	703	NUM
iajs-2702	345	10	-	-	SYM
iajs-2702	345	11	705	705	NUM
iajs-2702	345	12	.	.	PUNCT
iajs-2702	346	1	9	9	NUM
iajs-2702	346	2	.	.	X
iajs-2702	346	3	maji	maji	PROPN
iajs-2702	346	4	,	,	PUNCT
iajs-2702	346	5	p.	p.	PROPN
iajs-2702	346	6	k.	k.	PROPN
iajs-2702	346	7	;	;	PUNCT
iajs-2702	347	1	biswas	biswas	PROPN
iajs-2702	347	2	,	,	PUNCT
iajs-2702	347	3	r	r	NOUN
iajs-2702	347	4	.	.	PUNCT
iajs-2702	347	5	;	;	PUNCT
iajs-2702	347	6	roy	roy	PROPN
iajs-2702	347	7	,	,	PUNCT
iajs-2702	347	8	a.r	a.r	PROPN
iajs-2702	347	9	.	.	PROPN
iajs-2702	347	10	(	(	PUNCT
iajs-2702	347	11	)	)	PUNCT
iajs-2702	347	12	soft	soft	ADJ
iajs-2702	347	13	set	set	NOUN
iajs-2702	347	14	theory	theory	NOUN
iajs-2702	347	15	.	.	PUNCT
iajs-2702	348	1	comput	comput	NOUN
iajs-2702	348	2	.	.	PUNCT
iajs-2702	349	1	math	math	NOUN
iajs-2702	349	2	.	.	PUNCT
iajs-2702	350	1	appl	appl	PROPN
iajs-2702	350	2	.	.	PUNCT
iajs-2702	351	1	2003,45	2003,45	NOUN
iajs-2702	351	2	:	:	PUNCT
iajs-2702	351	3	555	555	NUM
iajs-2702	351	4	-	-	SYM
iajs-2702	351	5	562	562	NUM
iajs-2702	351	6	.	.	PUNCT
iajs-2702	352	1	10	10	NUM
iajs-2702	352	2	.	.	X
iajs-2702	352	3	ali	ali	PROPN
iajs-2702	352	4	,	,	PUNCT
iajs-2702	352	5	m.	m.	NOUN
iajs-2702	352	6	i.	i.	PROPN
iajs-2702	352	7	;	;	PUNCT
iajs-2702	352	8	feng	feng	PROPN
iajs-2702	352	9	,	,	PUNCT
iajs-2702	352	10	f.	f.	PROPN
iajs-2702	352	11	;	;	PUNCT
iajs-2702	352	12	liu	liu	PROPN
iajs-2702	352	13	,	,	PUNCT
iajs-2702	352	14	x.	x.	PROPN
iajs-2702	352	15	;	;	PUNCT
iajs-2702	352	16	min	min	PROPN
iajs-2702	352	17	,	,	PUNCT
iajs-2702	352	18	w.	w.	PROPN
iajs-2702	352	19	k	k	PROPN
iajs-2702	352	20	.	.	PUNCT
iajs-2702	352	21	;	;	PUNCT
iajs-2702	352	22	shaber	shaber	PROPN
iajs-2702	352	23	.m	.m	PROPN
iajs-2702	352	24	.	.	PUNCT
iajs-2702	353	1	(	(	PUNCT
iajs-2702	353	2	)	)	PUNCT
iajs-2702	353	3	on	on	ADP
iajs-2702	353	4	some	some	DET
iajs-2702	353	5	new	new	ADJ
iajs-2702	353	6	operations	operation	NOUN
iajs-2702	353	7	in	in	ADP
iajs-2702	353	8	soft	soft	ADJ
iajs-2702	353	9	set	set	NOUN
iajs-2702	353	10	theory	theory	NOUN
iajs-2702	353	11	.com	.com	PROPN
iajs-2702	353	12	put	put	VERB
iajs-2702	353	13	.	.	PUNCT
iajs-2702	354	1	math	math	PROPN
iajs-2702	354	2	.	.	PUNCT
iajs-2702	355	1	appl	appl	PROPN
iajs-2702	355	2	.	.	PUNCT
iajs-2702	356	1	2009,57(9):1547	2009,57(9):1547	X
iajs-2702	356	2	-	-	PUNCT
iajs-2702	356	3	1553	1553	NUM
iajs-2702	356	4	.	.	PUNCT
iajs-2702	357	1	11	11	NUM
iajs-2702	357	2	.	.	PUNCT
iajs-2702	358	1	zorlutuna	zorlutuna	NOUN
iajs-2702	358	2	,	,	PUNCT
iajs-2702	358	3	i.;akdag	i.;akdag	PROPN
iajs-2702	358	4	,	,	PUNCT
iajs-2702	358	5	m.	m.	NOUN
iajs-2702	358	6	;	;	PUNCT
iajs-2702	358	7	min	min	NOUN
iajs-2702	358	8	,	,	PUNCT
iajs-2702	358	9	w	w	PROPN
iajs-2702	358	10	.	.	PUNCT
iajs-2702	359	1	k.	k.	PROPN
iajs-2702	359	2	;	;	PUNCT
iajs-2702	359	3	atmaca	atmaca	PROPN
iajs-2702	359	4	.s	.s	PROPN
iajs-2702	359	5	.	.	PUNCT
iajs-2702	360	1	(	(	PUNCT
iajs-2702	360	2	)	)	PUNCT
iajs-2702	360	3	remark	remark	NOUN
iajs-2702	360	4	on	on	ADP
iajs-2702	360	5	soft	soft	ADJ
iajs-2702	360	6	topological	topological	ADJ
iajs-2702	360	7	spaces	space	NOUN
iajs-2702	360	8	,	,	PUNCT
iajs-2702	360	9	ann	ann	PROPN
iajs-2702	360	10	.	.	PROPN
iajs-2702	360	11	fuzzy	fuzzy	ADJ
iajs-2702	360	12	math	math	NOUN
iajs-2702	360	13	.	.	PUNCT
iajs-2702	361	1	inform	inform	NOUN
iajs-2702	361	2	.	.	PUNCT
iajs-2702	362	1	2012	2012	NUM
iajs-2702	362	2	,	,	PUNCT
iajs-2702	362	3	3(2	3(2	NUM
iajs-2702	362	4	):	):	PUNCT
iajs-2702	362	5	171	171	NUM
iajs-2702	362	6	-	-	SYM
iajs-2702	362	7	185	185	NUM
iajs-2702	362	8	.	.	PUNCT
iajs-2702	363	1	12	12	NUM
iajs-2702	363	2	.	.	PUNCT
iajs-2702	364	1	subhashini	subhashini	PROPN
iajs-2702	364	2	,	,	PUNCT
iajs-2702	364	3	j.	j.	PROPN
iajs-2702	364	4	soft	soft	PROPN
iajs-2702	364	5	pre	pre	ADJ
iajs-2702	364	6	generalized	generalized	ADJ
iajs-2702	364	7	closed	close	VERB
iajs-2702	364	8	sets	set	NOUN
iajs-2702	364	9	in	in	ADP
iajs-2702	364	10	a	a	DET
iajs-2702	364	11	soft	soft	ADJ
iajs-2702	364	12	topological	topological	ADJ
iajs-2702	364	13	space	space	NOUN
iajs-2702	364	14	,	,	PUNCT
iajs-2702	364	15	international	international	ADJ
iajs-2702	364	16	journal	journal	NOUN
iajs-2702	364	17	of	of	ADP
iajs-2702	364	18	engineering	engineering	NOUN
iajs-2702	364	19	trends	trend	NOUN
iajs-2702	364	20	and	and	CCONJ
iajs-2702	364	21	technology	technology	NOUN
iajs-2702	364	22	,	,	PUNCT
iajs-2702	364	23	2014	2014	NUM
iajs-2702	364	24	,	,	PUNCT
iajs-2702	364	25	12	12	NUM
iajs-2702	364	26	,	,	PUNCT
iajs-2702	364	27	number	number	NOUN
iajs-2702	364	28	7jun	7jun	NUM
iajs-2702	364	29	.	.	PUNCT
iajs-2702	365	1	13	13	NUM
iajs-2702	365	2	.	.	PUNCT
iajs-2702	366	1	mohammad	mohammad	PROPN
iajs-2702	366	2	,	,	PUNCT
iajs-2702	366	3	r.j	r.j	PROPN
iajs-2702	366	4	.	.	PROPN
iajs-2702	366	5	;	;	PUNCT
iajs-2702	366	6	esmaeel	esmaeel	VERB
iajs-2702	366	7	,	,	PUNCT
iajs-2702	366	8	r.b	r.b	PROPN
iajs-2702	366	9	.	.	PROPN
iajs-2702	366	10	new	new	ADJ
iajs-2702	366	11	games	game	NOUN
iajs-2702	366	12	via	via	ADP
iajs-2702	366	13	softℐ-semi	softℐ-semi	ADP
iajs-2702	366	14	-	-	PUNCT
iajs-2702	366	15	g	g	NOUN
iajs-2702	366	16	-	-	PUNCT
iajs-2702	366	17	separation	separation	NOUN
iajs-2702	366	18	axioms	axiom	NOUN
iajs-2702	366	19	,	,	PUNCT
iajs-2702	366	20	ibn	ibn	PROPN
iajs-2702	366	21	al	al	PROPN
iajs-2702	366	22	-	-	PUNCT
iajs-2702	366	23	haitham	haitham	PROPN
iajs-2702	366	24	journal	journal	PROPN
iajs-2702	366	25	for	for	ADP
iajs-2702	366	26	pure	pure	ADJ
iajs-2702	366	27	and	and	CCONJ
iajs-2702	366	28	applied	applied	ADJ
iajs-2702	366	29	science	science	NOUN
iajs-2702	366	30	.	.	PUNCT
iajs-2702	367	1	2020,33(4	2020,33(4	NOUN
iajs-2702	367	2	):	):	PUNCT
iajs-2702	367	3	12	12	NUM
iajs-2702	367	4	.	.	PUNCT