id	sid	tid	token	lemma	pos
iajs-2615	1	1	87	87	NUM
iajs-2615	1	2	ibn	ibn	PROPN
iajs-2615	1	3	al	al	PROPN
iajs-2615	1	4	-	-	PUNCT
iajs-2615	1	5	haitham	haitham	PROPN
iajs-2615	1	6	jour	jour	X
iajs-2615	1	7	.	.	PROPN
iajs-2615	1	8	for	for	ADP
iajs-2615	1	9	pure	pure	ADJ
iajs-2615	1	10	&	&	CCONJ
iajs-2615	1	11	appl	appl	PROPN
iajs-2615	1	12	.	.	PUNCT
iajs-2615	2	1	sci	sci	PROPN
iajs-2615	2	2	.	.	PROPN
iajs-2615	3	1	34	34	NUM
iajs-2615	3	2	(	(	PUNCT
iajs-2615	3	3	2	2	NUM
iajs-2615	3	4	)	)	PUNCT
iajs-2615	3	5	2021	2021	NUM
iajs-2615	3	6	weak	weak	ADJ
iajs-2615	3	7	pseudo	pseudo	NOUN
iajs-2615	3	8	–	–	PUNCT
iajs-2615	3	9	2	2	NUM
iajs-2615	3	10	–	–	PUNCT
iajs-2615	3	11	absorbing	absorb	VERB
iajs-2615	3	12	submodules	submodule	NOUN
iajs-2615	3	13	and	and	CCONJ
iajs-2615	3	14	related	related	ADJ
iajs-2615	3	15	concepts	concept	NOUN
iajs-2615	3	16	haibat	haibat	PROPN
iajs-2615	3	17	k.	k.	PROPN
iajs-2615	4	1	mohmmadal	mohmmadal	PROPN
iajs-2615	4	2	sada	sada	PROPN
iajs-2615	4	3	e.	e.	PROPN
iajs-2615	4	4	radeef	radeef	PROPN
iajs-2615	4	5	mfloweriraq767@gmail.co	mfloweriraq767@gmail.co	PROPN
iajs-2615	4	6	dr.mohammadali2013@gmail.com	dr.mohammadali2013@gmail.com	PROPN
iajs-2615	4	7	department	department	NOUN
iajs-2615	4	8	of	of	ADP
iajs-2615	4	9	mathematics	mathematics	PROPN
iajs-2615	4	10	,	,	PUNCT
iajs-2615	4	11	college	college	NOUN
iajs-2615	4	12	of	of	ADP
iajs-2615	4	13	computer	computer	NOUN
iajs-2615	4	14	sciences	sciences	PROPN
iajs-2615	4	15	and	and	CCONJ
iajs-2615	4	16	mathematics	mathematic	NOUN
iajs-2615	4	17	,	,	PUNCT
iajs-2615	4	18	university	university	NOUN
iajs-2615	4	19	of	of	ADP
iajs-2615	4	20	tikrit	tikrit	NOUN
iajs-2615	4	21	,	,	PUNCT
iajs-2615	4	22	tikrit	tikrit	NOUN
iajs-2615	4	23	.	.	PUNCT
iajs-2615	5	1	iraq	iraq	PROPN
iajs-2615	5	2	.	.	PUNCT
iajs-2615	6	1	abstract	abstract	ADV
iajs-2615	6	2	let	let	VERB
iajs-2615	6	3	r	r	PRON
iajs-2615	6	4	be	be	AUX
iajs-2615	6	5	a	a	DET
iajs-2615	6	6	commutative	commutative	ADJ
iajs-2615	6	7	ring	ring	NOUN
iajs-2615	6	8	with	with	ADP
iajs-2615	6	9	identity	identity	NOUN
iajs-2615	6	10	and	and	CCONJ
iajs-2615	6	11	e	e	NOUN
iajs-2615	6	12	be	be	AUX
iajs-2615	6	13	a	a	DET
iajs-2615	6	14	unitary	unitary	ADJ
iajs-2615	6	15	left	left	ADJ
iajs-2615	6	16	r	r	NOUN
iajs-2615	6	17	–	–	PUNCT
iajs-2615	6	18	module	module	NOUN
iajs-2615	6	19	.we	.we	PUNCT
iajs-2615	6	20	introduce	introduce	VERB
iajs-2615	6	21	and	and	CCONJ
iajs-2615	6	22	study	study	VERB
iajs-2615	6	23	the	the	DET
iajs-2615	6	24	concept	concept	NOUN
iajs-2615	6	25	weak	weak	ADJ
iajs-2615	6	26	pseudo	pseudo	NOUN
iajs-2615	6	27	–	–	PUNCT
iajs-2615	6	28	2	2	NUM
iajs-2615	6	29	–	–	PUNCT
iajs-2615	6	30	absorbing	absorb	VERB
iajs-2615	6	31	submodules	submodule	NOUN
iajs-2615	6	32	as	as	ADP
iajs-2615	6	33	generalization	generalization	NOUN
iajs-2615	6	34	of	of	ADP
iajs-2615	6	35	weakle	weakle	NOUN
iajs-2615	6	36	–	–	PUNCT
iajs-2615	6	37	2	2	NUM
iajs-2615	6	38	–	–	PUNCT
iajs-2615	6	39	absorbing	absorb	VERB
iajs-2615	6	40	submodules	submodule	NOUN
iajs-2615	6	41	,	,	PUNCT
iajs-2615	6	42	where	where	SCONJ
iajs-2615	6	43	a	a	DET
iajs-2615	6	44	proper	proper	ADJ
iajs-2615	6	45	submodule	submodule	NOUN
iajs-2615	6	46	a	a	PRON
iajs-2615	6	47	of	of	ADP
iajs-2615	6	48	an	an	DET
iajs-2615	6	49	r	r	NOUN
iajs-2615	6	50	–	–	PUNCT
iajs-2615	6	51	module	module	NOUN
iajs-2615	6	52	e	e	NOUN
iajs-2615	6	53	is	be	AUX
iajs-2615	6	54	called	call	VERB
iajs-2615	6	55	weak	weak	ADJ
iajs-2615	6	56	pseudo	pseudo	NOUN
iajs-2615	6	57	–	–	PUNCT
iajs-2615	6	58	2	2	NUM
iajs-2615	6	59	–	–	PUNCT
iajs-2615	6	60	absorbing	absorb	VERB
iajs-2615	6	61	if	if	SCONJ
iajs-2615	6	62	0	0	NUM
iajs-2615	6	63	≠	≠	PROPN
iajs-2615	6	64	rsx	rsx	NOUN
iajs-2615	6	65	∈	∈	PROPN
iajs-2615	6	66	a	a	PRON
iajs-2615	6	67	for	for	ADP
iajs-2615	6	68	r	r	NOUN
iajs-2615	6	69	,	,	PUNCT
iajs-2615	6	70	s	s	NOUN
iajs-2615	6	71	∈	∈	PROPN
iajs-2615	6	72	r	r	NOUN
iajs-2615	6	73	,	,	PUNCT
iajs-2615	6	74	x	x	SYM
iajs-2615	6	75	∈	∈	PROPN
iajs-2615	6	76	e	e	NOUN
iajs-2615	6	77	,	,	PUNCT
iajs-2615	6	78	implies	imply	VERB
iajs-2615	6	79	that	that	SCONJ
iajs-2615	6	80	rx	rx	VERB
iajs-2615	6	81	∈	∈	PROPN
iajs-2615	6	82	a	a	DET
iajs-2615	6	83	+	+	X
iajs-2615	6	84	soc	soc	NOUN
iajs-2615	6	85	(	(	PUNCT
iajs-2615	6	86	e	e	NOUN
iajs-2615	6	87	)	)	PUNCT
iajs-2615	6	88	or	or	CCONJ
iajs-2615	6	89	sx	sx	PROPN
iajs-2615	6	90	∈	∈	PROPN
iajs-2615	6	91	a	a	DET
iajs-2615	6	92	+	+	X
iajs-2615	6	93	soc	soc	NOUN
iajs-2615	6	94	(	(	PUNCT
iajs-2615	6	95	e	e	NOUN
iajs-2615	6	96	)	)	PUNCT
iajs-2615	6	97	or	or	CCONJ
iajs-2615	6	98	rs	rs	PROPN
iajs-2615	6	99	∈	∈	PROPN
iajs-2615	6	100	[	[	PUNCT
iajs-2615	6	101	a	a	DET
iajs-2615	6	102	+	+	X
iajs-2615	6	103	soc	soc	NOUN
iajs-2615	6	104	(	(	PUNCT
iajs-2615	6	105	e	e	NOUN
iajs-2615	6	106	)	)	PUNCT
iajs-2615	6	107	:	:	PUNCT
iajs-2615	6	108	𝑅	𝑅	PROPN
iajs-2615	6	109	e	e	PROPN
iajs-2615	6	110	]	]	PUNCT
iajs-2615	6	111	.	.	PUNCT
iajs-2615	7	1	many	many	ADJ
iajs-2615	7	2	basic	basic	ADJ
iajs-2615	7	3	properties	property	NOUN
iajs-2615	7	4	,	,	PUNCT
iajs-2615	7	5	characterizations	characterization	NOUN
iajs-2615	7	6	and	and	CCONJ
iajs-2615	7	7	examples	example	NOUN
iajs-2615	7	8	of	of	ADP
iajs-2615	7	9	weak	weak	ADJ
iajs-2615	7	10	pseudo	pseudo	NOUN
iajs-2615	7	11	–	–	PUNCT
iajs-2615	7	12	2	2	NUM
iajs-2615	7	13	–	–	PUNCT
iajs-2615	7	14	absorbing	absorb	VERB
iajs-2615	7	15	submodule	submodule	NOUN
iajs-2615	7	16	in	in	ADP
iajs-2615	7	17	some	some	DET
iajs-2615	7	18	types	type	NOUN
iajs-2615	7	19	of	of	ADP
iajs-2615	7	20	modules	module	NOUN
iajs-2615	7	21	are	be	AUX
iajs-2615	7	22	introduced	introduce	VERB
iajs-2615	7	23	.	.	PUNCT
iajs-2615	8	1	key	key	ADJ
iajs-2615	8	2	word	word	NOUN
iajs-2615	8	3	:	:	PUNCT
iajs-2615	8	4	weakly	weakly	ADJ
iajs-2615	8	5	–	–	PUNCT
iajs-2615	8	6	2	2	NUM
iajs-2615	8	7	–	–	PUNCT
iajs-2615	8	8	absorbing	absorb	VERB
iajs-2615	8	9	submodules	submodule	NOUN
iajs-2615	8	10	,	,	PUNCT
iajs-2615	8	11	essential	essential	ADJ
iajs-2615	8	12	submodule	submodule	NOUN
iajs-2615	8	13	,	,	PUNCT
iajs-2615	8	14	socal	socal	NOUN
iajs-2615	8	15	of	of	ADP
iajs-2615	8	16	modules	module	NOUN
iajs-2615	8	17	,	,	PUNCT
iajs-2615	8	18	multiplication	multiplication	NOUN
iajs-2615	8	19	modules	module	NOUN
iajs-2615	8	20	,	,	PUNCT
iajs-2615	8	21	z	z	NOUN
iajs-2615	8	22	–	–	PUNCT
iajs-2615	8	23	regular	regular	ADJ
iajs-2615	8	24	modules	module	NOUN
iajs-2615	8	25	,	,	PUNCT
iajs-2615	8	26	wp	wp	PROPN
iajs-2615	8	27	–	–	PUNCT
iajs-2615	8	28	2	2	NUM
iajs-2615	8	29	–	–	PUNCT
iajs-2615	8	30	absorbing	absorb	VERB
iajs-2615	8	31	submodules	submodule	NOUN
iajs-2615	8	32	.	.	PUNCT
iajs-2615	9	1	1	1	X
iajs-2615	9	2	.	.	X
iajs-2615	9	3	introduction	introduction	NOUN
iajs-2615	9	4	the	the	DET
iajs-2615	9	5	concept	concept	NOUN
iajs-2615	9	6	of	of	ADP
iajs-2615	9	7	weakly	weakly	ADJ
iajs-2615	9	8	–	–	PUNCT
iajs-2615	9	9	2	2	NUM
iajs-2615	9	10	–	–	PUNCT
iajs-2615	9	11	absorbing	absorb	VERB
iajs-2615	9	12	submodule	submodule	NOUN
iajs-2615	9	13	was	be	AUX
iajs-2615	9	14	first	first	ADV
iajs-2615	9	15	introduced	introduce	VERB
iajs-2615	9	16	by	by	ADP
iajs-2615	9	17	darani	darani	PROPN
iajs-2615	9	18	and	and	CCONJ
iajs-2615	9	19	soheilnia	soheilnia	NOUN
iajs-2615	9	20	as	as	ADP
iajs-2615	9	21	generalization	generalization	NOUN
iajs-2615	9	22	of	of	ADP
iajs-2615	9	23	weakly	weakly	ADJ
iajs-2615	9	24	prime	prime	ADJ
iajs-2615	9	25	submodule	submodule	NOUN
iajs-2615	9	26	,	,	PUNCT
iajs-2615	9	27	where	where	SCONJ
iajs-2615	9	28	a	a	DET
iajs-2615	9	29	proper	proper	ADJ
iajs-2615	9	30	submodule	submodule	NOUN
iajs-2615	9	31	a	a	PRON
iajs-2615	9	32	of	of	ADP
iajs-2615	9	33	an	an	DET
iajs-2615	9	34	r	r	NOUN
iajs-2615	9	35	–	–	PUNCT
iajs-2615	9	36	module	module	NOUN
iajs-2615	9	37	e	e	NOUN
iajs-2615	9	38	is	be	AUX
iajs-2615	9	39	called	call	VERB
iajs-2615	9	40	a	a	DET
iajs-2615	9	41	weakly	weakly	ADJ
iajs-2615	9	42	prime	prime	ADJ
iajs-2615	9	43	submodule	submodule	NOUN
iajs-2615	9	44	of	of	ADP
iajs-2615	9	45	e	e	PROPN
iajs-2615	9	46	if	if	SCONJ
iajs-2615	9	47	0	0	NUM
iajs-2615	9	48	≠	≠	NOUN
iajs-2615	9	49	te	te	ADP
iajs-2615	9	50	∈	∈	PROPN
iajs-2615	9	51	a	a	PRON
iajs-2615	9	52	,	,	PUNCT
iajs-2615	9	53	for	for	ADP
iajs-2615	9	54	t	t	PROPN
iajs-2615	9	55	∈	∈	PROPN
iajs-2615	9	56	r	r	NOUN
iajs-2615	9	57	,	,	PUNCT
iajs-2615	9	58	e	e	PROPN
iajs-2615	9	59	∈	∈	PROPN
iajs-2615	9	60	e	e	PROPN
iajs-2615	9	61	implies	imply	VERB
iajs-2615	9	62	that	that	SCONJ
iajs-2615	9	63	either	either	CCONJ
iajs-2615	9	64	e	e	PROPN
iajs-2615	9	65	∈	∈	PROPN
iajs-2615	9	66	a	a	DET
iajs-2615	9	67	or	or	CCONJ
iajs-2615	9	68	t	t	NOUN
iajs-2615	9	69	∈	∈	PROPN
iajs-2615	9	70	[	[	PUNCT
iajs-2615	9	71	a	a	DET
iajs-2615	9	72	:	:	PUNCT
iajs-2615	9	73	𝑅	𝑅	PROPN
iajs-2615	9	74	e	e	PROPN
iajs-2615	9	75	]	]	PUNCT
iajs-2615	9	76	,	,	PUNCT
iajs-2615	9	77	where	where	SCONJ
iajs-2615	9	78	[	[	PUNCT
iajs-2615	9	79	a	a	DET
iajs-2615	9	80	:	:	PUNCT
iajs-2615	9	81	𝑅	𝑅	PROPN
iajs-2615	9	82	e	e	NOUN
iajs-2615	9	83	]	]	PUNCT
iajs-2615	9	84	=	=	X
iajs-2615	9	85	{	{	PUNCT
iajs-2615	9	86	s	s	NOUN
iajs-2615	9	87	∈	∈	NOUN
iajs-2615	9	88	r	r	NOUN
iajs-2615	9	89	:	:	PUNCT
iajs-2615	9	90	se	se	X
iajs-2615	9	91			VERB
iajs-2615	9	92	a	a	PRON
iajs-2615	9	93	}	}	PUNCT
iajs-2615	9	94	[	[	X
iajs-2615	9	95	1	1	NUM
iajs-2615	9	96	]	]	PUNCT
iajs-2615	9	97	,	,	PUNCT
iajs-2615	9	98	and	and	CCONJ
iajs-2615	9	99	a	a	DET
iajs-2615	9	100	proper	proper	ADJ
iajs-2615	9	101	submodule	submodule	NOUN
iajs-2615	9	102	a	a	PRON
iajs-2615	9	103	of	of	ADP
iajs-2615	9	104	an	an	DET
iajs-2615	9	105	rmodule	rmodule	NOUN
iajs-2615	9	106	e	e	NOUN
iajs-2615	9	107	is	be	AUX
iajs-2615	9	108	called	call	VERB
iajs-2615	9	109	a	a	DET
iajs-2615	9	110	weakly	weakly	ADJ
iajs-2615	9	111	–	–	PUNCT
iajs-2615	9	112	2	2	NUM
iajs-2615	9	113	–	–	PUNCT
iajs-2615	9	114	absorbing	absorb	VERB
iajs-2615	9	115	submodule	submodule	NOUN
iajs-2615	9	116	of	of	ADP
iajs-2615	9	117	e	e	PROPN
iajs-2615	9	118	,	,	PUNCT
iajs-2615	9	119	if	if	SCONJ
iajs-2615	9	120	0	0	NUM
iajs-2615	9	121	≠	≠	PROPN
iajs-2615	9	122	ste	ste	PROPN
iajs-2615	9	123	∈	∈	PROPN
iajs-2615	9	124	a	a	PRON
iajs-2615	9	125	,	,	PUNCT
iajs-2615	9	126	for	for	ADP
iajs-2615	9	127	s	s	PRON
iajs-2615	9	128	,	,	PUNCT
iajs-2615	9	129	t	t	PROPN
iajs-2615	9	130	∈	∈	PROPN
iajs-2615	9	131	r	r	NOUN
iajs-2615	9	132	,	,	PUNCT
iajs-2615	9	133	e	e	PROPN
iajs-2615	9	134	∈	∈	PROPN
iajs-2615	9	135	e	e	PROPN
iajs-2615	9	136	implies	imply	VERB
iajs-2615	9	137	that	that	SCONJ
iajs-2615	9	138	either	either	CCONJ
iajs-2615	9	139	se	se	PROPN
iajs-2615	9	140	∈	∈	PROPN
iajs-2615	9	141	a	a	PRON
iajs-2615	9	142	or	or	CCONJ
iajs-2615	9	143	te	te	ADP
iajs-2615	9	144	∈	∈	PROPN
iajs-2615	9	145	a	a	DET
iajs-2615	9	146	or	or	CCONJ
iajs-2615	9	147	st	st	PROPN
iajs-2615	9	148	∈	∈	PROPN
iajs-2615	9	149	[	[	PUNCT
iajs-2615	9	150	a	a	DET
iajs-2615	9	151	:	:	PUNCT
iajs-2615	9	152	𝑅	𝑅	PROPN
iajs-2615	9	153	e	e	NOUN
iajs-2615	9	154	]	]	PUNCT
iajs-2615	10	1	[	[	X
iajs-2615	10	2	2	2	NUM
iajs-2615	10	3	]	]	PUNCT
iajs-2615	10	4	.	.	PUNCT
iajs-2615	11	1	recently	recently	ADV
iajs-2615	11	2	,	,	PUNCT
iajs-2615	11	3	several	several	ADJ
iajs-2615	11	4	generalizations	generalization	NOUN
iajs-2615	11	5	of	of	ADP
iajs-2615	11	6	weakly	weakly	ADJ
iajs-2615	11	7	–	–	PUNCT
iajs-2615	11	8	2	2	NUM
iajs-2615	11	9	–	–	PUNCT
iajs-2615	11	10	absorbing	absorb	VERB
iajs-2615	11	11	submodules	submodule	NOUN
iajs-2615	11	12	have	have	AUX
iajs-2615	11	13	been	be	AUX
iajs-2615	11	14	introduced	introduce	VERB
iajs-2615	11	15	[	[	PUNCT
iajs-2615	11	16	3,4,5	3,4,5	NUM
iajs-2615	11	17	]	]	PUNCT
iajs-2615	11	18	.	.	PUNCT
iajs-2615	12	1	in	in	ADP
iajs-2615	12	2	our	our	PRON
iajs-2615	12	3	paper	paper	NOUN
iajs-2615	12	4	,	,	PUNCT
iajs-2615	12	5	we	we	PRON
iajs-2615	12	6	introduce	introduce	VERB
iajs-2615	12	7	a	a	DET
iajs-2615	12	8	new	new	ADJ
iajs-2615	12	9	generalization	generalization	NOUN
iajs-2615	12	10	of	of	ADP
iajs-2615	12	11	weakly	weakly	ADJ
iajs-2615	12	12	–	–	PUNCT
iajs-2615	12	13	2	2	NUM
iajs-2615	12	14	–	–	PUNCT
iajs-2615	12	15	absorbing	absorb	VERB
iajs-2615	12	16	submodule	submodule	NOUN
iajs-2615	12	17	which	which	PRON
iajs-2615	12	18	we	we	PRON
iajs-2615	12	19	callweak	callweak	VERB
iajs-2615	12	20	pseudo	pseudo	NOUN
iajs-2615	12	21	–	–	PUNCT
iajs-2615	12	22	2	2	NUM
iajs-2615	12	23	–	–	PUNCT
iajs-2615	12	24	absorbing	absorb	VERB
iajs-2615	12	25	submodule	submodule	NOUN
iajs-2615	12	26	,	,	PUNCT
iajs-2615	12	27	where	where	SCONJ
iajs-2615	12	28	a	a	DET
iajs-2615	12	29	proper	proper	ADJ
iajs-2615	12	30	submodule	submodule	NOUN
iajs-2615	12	31	a	a	PRON
iajs-2615	12	32	of	of	ADP
iajs-2615	12	33	an	an	DET
iajs-2615	12	34	r	r	NOUN
iajs-2615	12	35	–	–	PUNCT
iajs-2615	12	36	module	module	NOUN
iajs-2615	12	37	e	e	NOUN
iajs-2615	12	38	is	be	AUX
iajs-2615	12	39	said	say	VERB
iajs-2615	12	40	to	to	PART
iajs-2615	12	41	be	be	AUX
iajs-2615	12	42	weak	weak	ADJ
iajs-2615	12	43	pseudo	pseudo	NOUN
iajs-2615	12	44	–	–	PUNCT
iajs-2615	12	45	2	2	NUM
iajs-2615	12	46	–	–	PUNCT
iajs-2615	12	47	absorbing	absorb	VERB
iajs-2615	12	48	ibn	ibn	PROPN
iajs-2615	12	49	al	al	PROPN
iajs-2615	12	50	haitham	haitham	PROPN
iajs-2615	12	51	journal	journal	PROPN
iajs-2615	12	52	for	for	ADP
iajs-2615	12	53	pure	pure	ADJ
iajs-2615	12	54	and	and	CCONJ
iajs-2615	12	55	applied	apply	VERB
iajs-2615	12	56	science	science	NOUN
iajs-2615	12	57	journal	journal	PROPN
iajs-2615	12	58	homepage	homepage	NOUN
iajs-2615	12	59	:	:	PUNCT
iajs-2615	12	60	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	NOUN
iajs-2615	12	61	doi	doi	NOUN
iajs-2615	12	62	:	:	PUNCT
iajs-2615	12	63	10.30526/34.2.2615	10.30526/34.2.2615	NUM
iajs-2615	12	64	article	article	NOUN
iajs-2615	12	65	history	history	NOUN
iajs-2615	12	66	:	:	PUNCT
iajs-2615	12	67	received,19,may,2020	received,19,may,2020	NUM
iajs-2615	12	68	,	,	PUNCT
iajs-2615	12	69	accepted	accept	VERB
iajs-2615	12	70	23,june,2020	23,june,2020	NOUN
iajs-2615	12	71	,	,	PUNCT
iajs-2615	12	72	published	publish	VERB
iajs-2615	12	73	in	in	ADP
iajs-2615	12	74	april	april	PROPN
iajs-2615	12	75	2021	2021	NUM
iajs-2615	13	1	mailto:floweriraq767@gmail.com	mailto:floweriraq767@gmail.com	X
iajs-2615	13	2	mailto:dr.mohammadali2013@gmail.com	mailto:dr.mohammadali2013@gmail.com	X
iajs-2615	13	3	mailto:dr.mohammadali2013@gmail.com	mailto:dr.mohammadali2013@gmail.com	X
iajs-2615	13	4	88	88	NUM
iajs-2615	13	5	ibn	ibn	PROPN
iajs-2615	13	6	al	al	PROPN
iajs-2615	13	7	-	-	PUNCT
iajs-2615	13	8	haitham	haitham	PROPN
iajs-2615	13	9	jour	jour	X
iajs-2615	13	10	.	.	PROPN
iajs-2615	14	1	for	for	ADP
iajs-2615	14	2	pure	pure	ADJ
iajs-2615	14	3	&	&	CCONJ
iajs-2615	14	4	appl	appl	PROPN
iajs-2615	14	5	.	.	PUNCT
iajs-2615	15	1	sci	sci	PROPN
iajs-2615	15	2	.	.	PROPN
iajs-2615	16	1	34	34	NUM
iajs-2615	16	2	(	(	PUNCT
iajs-2615	16	3	2	2	NUM
iajs-2615	16	4	)	)	PUNCT
iajs-2615	16	5	2021	2021	NUM
iajs-2615	16	6	submodule	submodule	NOUN
iajs-2615	16	7	if	if	SCONJ
iajs-2615	16	8	0	0	NUM
iajs-2615	16	9	≠	≠	PROPN
iajs-2615	16	10	ste	ste	PROPN
iajs-2615	16	11	∈	∈	PROPN
iajs-2615	16	12	a	a	PRON
iajs-2615	16	13	,	,	PUNCT
iajs-2615	16	14	for	for	ADP
iajs-2615	16	15	s	s	PRON
iajs-2615	16	16	,	,	PUNCT
iajs-2615	16	17	t	t	PROPN
iajs-2615	16	18	∈	∈	PROPN
iajs-2615	16	19	r	r	NOUN
iajs-2615	16	20	,	,	PUNCT
iajs-2615	16	21	e	e	PROPN
iajs-2615	16	22	∈	∈	PROPN
iajs-2615	16	23	e	e	PROPN
iajs-2615	16	24	,	,	PUNCT
iajs-2615	16	25	implies	imply	VERB
iajs-2615	16	26	that	that	SCONJ
iajs-2615	16	27	either	either	CCONJ
iajs-2615	16	28	se	se	PROPN
iajs-2615	16	29	∈	∈	PROPN
iajs-2615	16	30	a	a	DET
iajs-2615	16	31	+	+	X
iajs-2615	16	32	soc	soc	NOUN
iajs-2615	16	33	(	(	PUNCT
iajs-2615	16	34	e	e	NOUN
iajs-2615	16	35	)	)	PUNCT
iajs-2615	16	36	or	or	CCONJ
iajs-2615	16	37	te	te	ADP
iajs-2615	16	38	∈	∈	PROPN
iajs-2615	16	39	a	a	DET
iajs-2615	16	40	+	+	X
iajs-2615	16	41	soc	soc	NOUN
iajs-2615	16	42	(	(	PUNCT
iajs-2615	16	43	e	e	NOUN
iajs-2615	16	44	)	)	PUNCT
iajs-2615	16	45	or	or	CCONJ
iajs-2615	16	46	st	st	PROPN
iajs-2615	16	47	∈	∈	PROPN
iajs-2615	16	48	[	[	PUNCT
iajs-2615	16	49	a	a	DET
iajs-2615	16	50	+	+	X
iajs-2615	16	51	soc	soc	NOUN
iajs-2615	16	52	(	(	PUNCT
iajs-2615	16	53	e	e	NOUN
iajs-2615	16	54	)	)	PUNCT
iajs-2615	16	55	:	:	PUNCT
iajs-2615	16	56	𝑅	𝑅	PROPN
iajs-2615	16	57	e	e	PROPN
iajs-2615	16	58	]	]	PUNCT
iajs-2615	16	59	.	.	PUNCT
iajs-2615	17	1	soc	soc	NOUN
iajs-2615	17	2	(	(	PUNCT
iajs-2615	17	3	e	e	NOUN
iajs-2615	17	4	)	)	PUNCT
iajs-2615	17	5	is	be	AUX
iajs-2615	17	6	the	the	DET
iajs-2615	17	7	intersection	intersection	NOUN
iajs-2615	17	8	of	of	ADP
iajs-2615	17	9	all	all	DET
iajs-2615	17	10	essential	essential	ADJ
iajs-2615	17	11	submodules	submodule	NOUN
iajs-2615	17	12	of	of	ADP
iajs-2615	17	13	e	e	NOUN
iajs-2615	17	14	[	[	X
iajs-2615	17	15	6	6	NUM
iajs-2615	17	16	]	]	PUNCT
iajs-2615	17	17	.	.	PUNCT
iajs-2615	18	1	a	a	DET
iajs-2615	18	2	nonzero	nonzero	PROPN
iajs-2615	18	3	submodule	submodule	PROPN
iajs-2615	18	4	n	n	PROPN
iajs-2615	18	5	of	of	ADP
iajs-2615	18	6	an	an	DET
iajs-2615	18	7	r	r	NOUN
iajs-2615	18	8	–	–	PUNCT
iajs-2615	18	9	module	module	NOUN
iajs-2615	18	10	e	e	NOUN
iajs-2615	18	11	is	be	AUX
iajs-2615	18	12	called	call	VERB
iajs-2615	18	13	an	an	DET
iajs-2615	18	14	essential	essential	ADJ
iajs-2615	18	15	if	if	SCONJ
iajs-2615	18	16	n	n	ADP
iajs-2615	18	17	∩	∩	NOUN
iajs-2615	18	18	k	k	PROPN
iajs-2615	18	19	≠	≠	PROPN
iajs-2615	18	20	(	(	PUNCT
iajs-2615	18	21	0	0	NUM
iajs-2615	18	22	)	)	PUNCT
iajs-2615	18	23	for	for	ADP
iajs-2615	18	24	all	all	DET
iajs-2615	18	25	nonzero	nonzero	PROPN
iajs-2615	18	26	submodules	submodule	NOUN
iajs-2615	18	27	k	k	PROPN
iajs-2615	18	28	of	of	ADP
iajs-2615	18	29	e	e	PROPN
iajs-2615	19	1	[	[	X
iajs-2615	19	2	6	6	NUM
iajs-2615	19	3	]	]	PUNCT
iajs-2615	19	4	.	.	PUNCT
iajs-2615	20	1	every	every	DET
iajs-2615	20	2	weakly	weakly	ADJ
iajs-2615	20	3	prime	prime	ADJ
iajs-2615	20	4	submodule	submodule	NOUN
iajs-2615	20	5	of	of	ADP
iajs-2615	20	6	an	an	DET
iajs-2615	20	7	r	r	NOUN
iajs-2615	20	8	–	–	PUNCT
iajs-2615	20	9	module	module	NOUN
iajs-2615	20	10	is	be	AUX
iajs-2615	20	11	weakly	weakly	ADJ
iajs-2615	20	12	–	–	PUNCT
iajs-2615	20	13	2	2	NUM
iajs-2615	20	14	–	–	PUNCT
iajs-2615	20	15	absorbing	absorb	VERB
iajs-2615	20	16	[	[	X
iajs-2615	20	17	7	7	NUM
iajs-2615	20	18	]	]	PUNCT
iajs-2615	20	19	.	.	PUNCT
iajs-2615	21	1	recall	recall	VERB
iajs-2615	21	2	that	that	SCONJ
iajs-2615	21	3	an	an	DET
iajs-2615	21	4	r	r	NOUN
iajs-2615	21	5	–	–	PUNCT
iajs-2615	21	6	module	module	NOUN
iajs-2615	21	7	e	e	NOUN
iajs-2615	21	8	is	be	AUX
iajs-2615	21	9	cyclic	cyclic	ADJ
iajs-2615	21	10	if	if	SCONJ
iajs-2615	21	11	e	e	NOUN
iajs-2615	21	12	=	=	SYM
iajs-2615	21	13	˂	˂	PROPN
iajs-2615	21	14	x	x	X
iajs-2615	21	15	>	>	X
iajs-2615	21	16	for	for	ADP
iajs-2615	21	17	x	x	SYM
iajs-2615	21	18	∈	∈	PROPN
iajs-2615	21	19	e	e	X
iajs-2615	21	20	[	[	X
iajs-2615	21	21	8	8	NUM
iajs-2615	21	22	]	]	PUNCT
iajs-2615	21	23	.	.	PUNCT
iajs-2615	22	1	recall	recall	VERB
iajs-2615	22	2	that	that	SCONJ
iajs-2615	22	3	an	an	DET
iajs-2615	22	4	r	r	NOUN
iajs-2615	22	5	–	–	PUNCT
iajs-2615	22	6	module	module	NOUN
iajs-2615	22	7	e	e	NOUN
iajs-2615	22	8	is	be	AUX
iajs-2615	22	9	a	a	DET
iajs-2615	22	10	semi	semi	ADJ
iajs-2615	22	11	simple	simple	ADJ
iajs-2615	22	12	if	if	SCONJ
iajs-2615	22	13	soc	soc	NOUN
iajs-2615	22	14	(	(	PUNCT
iajs-2615	22	15	e	e	NOUN
iajs-2615	22	16	)	)	PUNCT
iajs-2615	22	17	=	=	SYM
iajs-2615	22	18	(	(	PUNCT
iajs-2615	22	19	0	0	NUM
iajs-2615	22	20	)	)	PUNCT
iajs-2615	23	1	[	[	X
iajs-2615	23	2	6	6	NUM
iajs-2615	23	3	]	]	PUNCT
iajs-2615	23	4	.	.	PUNCT
iajs-2615	24	1	it	it	PRON
iajs-2615	24	2	is	be	AUX
iajs-2615	24	3	well	well	ADV
iajs-2615	24	4	known	know	VERB
iajs-2615	24	5	that	that	SCONJ
iajs-2615	24	6	an	an	DET
iajs-2615	24	7	r	r	NOUN
iajs-2615	24	8	–	–	PUNCT
iajs-2615	24	9	module	module	NOUN
iajs-2615	24	10	e	e	NOUN
iajs-2615	24	11	is	be	AUX
iajs-2615	24	12	a	a	DET
iajs-2615	24	13	semi	semi	ADJ
iajs-2615	24	14	simple	simple	ADJ
iajs-2615	24	15	if	if	SCONJ
iajs-2615	24	16	and	and	CCONJ
iajs-2615	25	1	only	only	ADV
iajs-2615	25	2	if	if	SCONJ
iajs-2615	25	3	soc	soc	NOUN
iajs-2615	25	4	(	(	PUNCT
iajs-2615	25	5	𝐸	𝐸	PROPN
iajs-2615	25	6	𝑁	𝑁	PROPN
iajs-2615	25	7	)	)	PUNCT
iajs-2615	25	8	=	=	PUNCT
iajs-2615	25	9	(	(	PUNCT
iajs-2615	25	10	𝑠𝑜𝑐	𝑠𝑜𝑐	X
iajs-2615	25	11	(	(	PUNCT
iajs-2615	25	12	𝐸	𝐸	PROPN
iajs-2615	25	13	)	)	PUNCT
iajs-2615	25	14	+	+	CCONJ
iajs-2615	25	15	𝑁	𝑁	PROPN
iajs-2615	25	16	𝑁	𝑁	PROPN
iajs-2615	25	17	)	)	PUNCT
iajs-2615	25	18	for	for	ADP
iajs-2615	25	19	each	each	DET
iajs-2615	25	20	submodule	submodule	NOUN
iajs-2615	25	21	n	n	PROPN
iajs-2615	25	22	of	of	ADP
iajs-2615	25	23	e	e	PROPN
iajs-2615	25	24	[	[	PUNCT
iajs-2615	25	25	6	6	NUM
iajs-2615	25	26	,	,	PUNCT
iajs-2615	25	27	ex.12(c	ex.12(c	PROPN
iajs-2615	25	28	)	)	PUNCT
iajs-2615	25	29	]	]	PUNCT
iajs-2615	25	30	.	.	PUNCT
iajs-2615	26	1	the	the	DET
iajs-2615	26	2	set	set	NOUN
iajs-2615	26	3	[	[	PUNCT
iajs-2615	26	4	n	n	CCONJ
iajs-2615	26	5	:	:	PUNCT
iajs-2615	26	6	𝐸	𝐸	PROPN
iajs-2615	26	7	i	i	PRON
iajs-2615	26	8	]	]	X
iajs-2615	26	9	=	=	PUNCT
iajs-2615	27	1	[	[	PUNCT
iajs-2615	27	2	x	x	SYM
iajs-2615	27	3	∈	∈	NOUN
iajs-2615	27	4	e	e	NOUN
iajs-2615	27	5	:	:	PUNCT
iajs-2615	27	6	x	x	X
iajs-2615	27	7	i	i	PRON
iajs-2615	27	8			VERB
iajs-2615	27	9	n	n	CCONJ
iajs-2615	27	10	}	}	PUNCT
iajs-2615	27	11	,	,	PUNCT
iajs-2615	27	12	where	where	SCONJ
iajs-2615	27	13	n	n	PRON
iajs-2615	27	14	is	be	AUX
iajs-2615	27	15	a	a	DET
iajs-2615	27	16	submodule	submodule	NOUN
iajs-2615	27	17	of	of	ADP
iajs-2615	27	18	e	e	PROPN
iajs-2615	27	19	,	,	PUNCT
iajs-2615	27	20	and	and	CCONJ
iajs-2615	27	21	i	i	PRON
iajs-2615	27	22	is	be	AUX
iajs-2615	27	23	an	an	DET
iajs-2615	27	24	ideal	ideal	NOUN
iajs-2615	27	25	of	of	ADP
iajs-2615	27	26	r	r	NOUN
iajs-2615	27	27	[	[	PUNCT
iajs-2615	27	28	n	n	NOUN
iajs-2615	27	29	:	:	PUNCT
iajs-2615	27	30	𝐸	𝐸	PROPN
iajs-2615	27	31	i	i	X
iajs-2615	27	32	]	]	PUNCT
iajs-2615	27	33	and	and	CCONJ
iajs-2615	27	34	is	be	AUX
iajs-2615	27	35	a	a	DET
iajs-2615	27	36	submodule	submodule	NOUN
iajs-2615	27	37	of	of	ADP
iajs-2615	27	38	e	e	NOUN
iajs-2615	27	39	containing	contain	VERB
iajs-2615	27	40	n.	n.	NOUN
iajs-2615	27	41	[	[	PUNCT
iajs-2615	27	42	n	n	NOUN
iajs-2615	27	43	:	:	PUNCT
iajs-2615	27	44	e	e	X
iajs-2615	27	45	r	r	NOUN
iajs-2615	27	46	]	]	PUNCT
iajs-2615	27	47	=	=	SYM
iajs-2615	27	48	n	n	PROPN
iajs-2615	28	1	and	and	CCONJ
iajs-2615	28	2	[	[	PUNCT
iajs-2615	28	3	i	i	PRON
iajs-2615	28	4	:	:	PUNCT
iajs-2615	28	5	𝐸	𝐸	ADJ
iajs-2615	28	6	r	r	NOUN
iajs-2615	28	7	]	]	PUNCT
iajs-2615	29	1	=	=	PUNCT
iajs-2615	29	2	i	i	PRON
iajs-2615	29	3	[	[	X
iajs-2615	29	4	9	9	NUM
iajs-2615	29	5	]	]	PUNCT
iajs-2615	29	6	.	.	PUNCT
iajs-2615	30	1	recall	recall	VERB
iajs-2615	30	2	that	that	SCONJ
iajs-2615	30	3	an	an	DET
iajs-2615	30	4	r	r	NOUN
iajs-2615	30	5	–	–	PUNCT
iajs-2615	30	6	module	module	NOUN
iajs-2615	30	7	e	e	NOUN
iajs-2615	30	8	is	be	AUX
iajs-2615	30	9	a	a	DET
iajs-2615	30	10	multiplication	multiplication	NOUN
iajs-2615	30	11	if	if	SCONJ
iajs-2615	30	12	every	every	DET
iajs-2615	30	13	submodule	submodule	NOUN
iajs-2615	30	14	a	a	PRON
iajs-2615	30	15	of	of	ADP
iajs-2615	30	16	e	e	NOUN
iajs-2615	30	17	is	be	AUX
iajs-2615	30	18	of	of	ADP
iajs-2615	30	19	the	the	DET
iajs-2615	30	20	form	form	NOUN
iajs-2615	30	21	a	a	DET
iajs-2615	30	22	=	=	X
iajs-2615	30	23	ie	ie	X
iajs-2615	30	24	for	for	ADP
iajs-2615	30	25	some	some	DET
iajs-2615	30	26	ideal	ideal	ADJ
iajs-2615	30	27	i	i	PRON
iajs-2615	30	28	of	of	ADP
iajs-2615	30	29	r	r	NOUN
iajs-2615	30	30	,	,	PUNCT
iajs-2615	30	31	equivalently	equivalently	ADV
iajs-2615	30	32	a	a	DET
iajs-2615	30	33	=	=	X
iajs-2615	30	34	[	[	PUNCT
iajs-2615	30	35	a	a	DET
iajs-2615	30	36	:	:	PUNCT
iajs-2615	30	37	𝑅	𝑅	PROPN
iajs-2615	30	38	e	e	NOUN
iajs-2615	30	39	]	]	X
iajs-2615	30	40	e	e	X
iajs-2615	31	1	[	[	X
iajs-2615	31	2	10	10	NUM
iajs-2615	31	3	]	]	PUNCT
iajs-2615	31	4	.	.	PUNCT
iajs-2615	32	1	recall	recall	VERB
iajs-2615	32	2	that	that	SCONJ
iajs-2615	32	3	an	an	DET
iajs-2615	32	4	r	r	NOUN
iajs-2615	32	5	–	–	PUNCT
iajs-2615	32	6	module	module	NOUN
iajs-2615	32	7	e	e	NOUN
iajs-2615	32	8	is	be	AUX
iajs-2615	32	9	a	a	DET
iajs-2615	32	10	faithful	faithful	ADJ
iajs-2615	33	1	if	if	SCONJ
iajs-2615	33	2	ann	ann	PROPN
iajs-2615	33	3	(	(	PUNCT
iajs-2615	33	4	e	e	NOUN
iajs-2615	33	5	)	)	PUNCT
iajs-2615	33	6	=	=	PRON
iajs-2615	33	7	{	{	PUNCT
iajs-2615	33	8	r	r	NOUN
iajs-2615	33	9	∈	∈	NOUN
iajs-2615	33	10	r	r	NOUN
iajs-2615	33	11	:	:	PUNCT
iajs-2615	33	12	re	re	X
iajs-2615	33	13	=	=	SYM
iajs-2615	33	14	(	(	PUNCT
iajs-2615	33	15	0	0	NUM
iajs-2615	33	16	)	)	PUNCT
iajs-2615	33	17	}	}	PUNCT
iajs-2615	34	1	[	[	X
iajs-2615	34	2	8	8	NUM
iajs-2615	34	3	]	]	SYM
iajs-2615	34	4	.	.	PUNCT
iajs-2615	34	5	2	2	X
iajs-2615	34	6	.	.	X
iajs-2615	34	7	basic	basic	ADJ
iajs-2615	34	8	properties	property	NOUN
iajs-2615	34	9	of	of	ADP
iajs-2615	34	10	wp	wp	PROPN
iajs-2615	34	11	–	–	PUNCT
iajs-2615	34	12	2	2	NUM
iajs-2615	34	13	–	–	PUNCT
iajs-2615	34	14	absorbing	absorb	VERB
iajs-2615	34	15	submodules	submodule	NOUN
iajs-2615	34	16	.	.	PUNCT
iajs-2615	35	1	in	in	ADP
iajs-2615	35	2	this	this	DET
iajs-2615	35	3	part	part	NOUN
iajs-2615	35	4	of	of	ADP
iajs-2615	35	5	the	the	DET
iajs-2615	35	6	paper	paper	NOUN
iajs-2615	35	7	,	,	PUNCT
iajs-2615	35	8	we	we	PRON
iajs-2615	35	9	introduce	introduce	VERB
iajs-2615	35	10	the	the	DET
iajs-2615	35	11	definition	definition	NOUN
iajs-2615	35	12	of	of	ADP
iajs-2615	35	13	wp	wp	PROPN
iajs-2615	35	14	–	–	PUNCT
iajs-2615	35	15	2	2	NUM
iajs-2615	35	16	–	–	PUNCT
iajs-2615	35	17	absorbing	absorb	VERB
iajs-2615	35	18	submodules	submodule	NOUN
iajs-2615	35	19	and	and	CCONJ
iajs-2615	35	20	,	,	PUNCT
iajs-2615	35	21	thus	thus	ADV
iajs-2615	35	22	truth	truth	NOUN
iajs-2615	35	23	some	some	PRON
iajs-2615	35	24	of	of	ADP
iajs-2615	35	25	i𝑡	i𝑡	NOUN
iajs-2615	35	26	,	,	PUNCT
iajs-2615	35	27	s	s	VERB
iajs-2615	35	28	basic	basic	ADJ
iajs-2615	35	29	properties	property	NOUN
iajs-2615	35	30	,	,	PUNCT
iajs-2615	35	31	examples	example	NOUN
iajs-2615	35	32	and	and	CCONJ
iajs-2615	35	33	characterizations	characterization	NOUN
iajs-2615	35	34	.	.	PUNCT
iajs-2615	36	1	definition	definition	NOUN
iajs-2615	36	2	.1	.1	PROPN
iajs-2615	36	3	.	.	PUNCT
iajs-2615	37	1	a	a	DET
iajs-2615	37	2	proper	proper	ADJ
iajs-2615	37	3	submodule	submodule	NOUN
iajs-2615	37	4	a	a	PRON
iajs-2615	37	5	of	of	ADP
iajs-2615	37	6	an	an	DET
iajs-2615	37	7	r	r	NOUN
iajs-2615	37	8	–	–	PUNCT
iajs-2615	37	9	module	module	NOUN
iajs-2615	37	10	e	e	NOUN
iajs-2615	37	11	is	be	AUX
iajs-2615	37	12	said	say	VERB
iajs-2615	37	13	to	to	PART
iajs-2615	37	14	be	be	AUX
iajs-2615	37	15	weak	weak	ADJ
iajs-2615	37	16	pseudo	pseudo	NOUN
iajs-2615	37	17	–	–	PUNCT
iajs-2615	37	18	2	2	NUM
iajs-2615	37	19	–	–	PUNCT
iajs-2615	37	20	absorbing	absorb	VERB
iajs-2615	37	21	(	(	PUNCT
iajs-2615	37	22	for	for	ADP
iajs-2615	37	23	shorten	shorten	VERB
iajs-2615	37	24	wp	wp	NOUN
iajs-2615	37	25	–	–	PUNCT
iajs-2615	37	26	2	2	NUM
iajs-2615	37	27	–	–	PUNCT
iajs-2615	37	28	absorbing	absorbing	ADJ
iajs-2615	37	29	)	)	PUNCT
iajs-2615	37	30	submodule	submodule	NOUN
iajs-2615	37	31	of	of	ADP
iajs-2615	37	32	e	e	PROPN
iajs-2615	37	33	,	,	PUNCT
iajs-2615	37	34	if	if	SCONJ
iajs-2615	37	35	0	0	NUM
iajs-2615	37	36	≠	≠	PROPN
iajs-2615	37	37	ste	ste	PROPN
iajs-2615	37	38	∈	∈	PROPN
iajs-2615	37	39	a	a	PRON
iajs-2615	37	40	,	,	PUNCT
iajs-2615	37	41	for	for	ADP
iajs-2615	37	42	s	s	PRON
iajs-2615	37	43	,	,	PUNCT
iajs-2615	37	44	t	t	PROPN
iajs-2615	37	45	∈	∈	PROPN
iajs-2615	37	46	r	r	NOUN
iajs-2615	37	47	,	,	PUNCT
iajs-2615	37	48	e	e	PROPN
iajs-2615	37	49	∈	∈	PROPN
iajs-2615	37	50	e	e	PROPN
iajs-2615	37	51	,	,	PUNCT
iajs-2615	37	52	implies	imply	VERB
iajs-2615	37	53	that	that	SCONJ
iajs-2615	37	54	se	se	PROPN
iajs-2615	37	55	∈	∈	PROPN
iajs-2615	37	56	a	a	DET
iajs-2615	37	57	+	+	X
iajs-2615	37	58	soc	soc	NOUN
iajs-2615	37	59	(	(	PUNCT
iajs-2615	37	60	e	e	NOUN
iajs-2615	37	61	)	)	PUNCT
iajs-2615	37	62	or	or	CCONJ
iajs-2615	38	1	te	te	ADP
iajs-2615	38	2	∈	∈	PROPN
iajs-2615	38	3	a	a	DET
iajs-2615	38	4	+	+	X
iajs-2615	38	5	soc	soc	NOUN
iajs-2615	38	6	(	(	PUNCT
iajs-2615	38	7	e	e	NOUN
iajs-2615	38	8	)	)	PUNCT
iajs-2615	38	9	or	or	CCONJ
iajs-2615	38	10	st	st	PROPN
iajs-2615	38	11	∈	∈	PROPN
iajs-2615	38	12	[	[	PUNCT
iajs-2615	38	13	a	a	DET
iajs-2615	38	14	+	+	X
iajs-2615	38	15	soc	soc	NOUN
iajs-2615	38	16	(	(	PUNCT
iajs-2615	38	17	e	e	NOUN
iajs-2615	38	18	)	)	PUNCT
iajs-2615	38	19	:	:	PUNCT
iajs-2615	38	20	r	r	NOUN
iajs-2615	38	21	e	e	NOUN
iajs-2615	38	22	]	]	PUNCT
iajs-2615	38	23	.	.	PUNCT
iajs-2615	39	1	and	and	CCONJ
iajs-2615	39	2	an	an	DET
iajs-2615	39	3	ideal	ideal	ADJ
iajs-2615	39	4	j	j	PROPN
iajs-2615	39	5	of	of	ADP
iajs-2615	39	6	a	a	DET
iajs-2615	39	7	ring	ring	NOUN
iajs-2615	39	8	r	r	NOUN
iajs-2615	39	9	is	be	AUX
iajs-2615	39	10	said	say	VERB
iajs-2615	39	11	to	to	PART
iajs-2615	39	12	be	be	AUX
iajs-2615	39	13	wp	wp	PROPN
iajs-2615	39	14	–	–	PUNCT
iajs-2615	39	15	2	2	NUM
iajs-2615	39	16	–	–	PUNCT
iajs-2615	39	17	absorbing	absorb	VERB
iajs-2615	39	18	ideal	ideal	NOUN
iajs-2615	39	19	of	of	ADP
iajs-2615	39	20	r	r	NOUN
iajs-2615	39	21	,	,	PUNCT
iajs-2615	39	22	if	if	SCONJ
iajs-2615	39	23	j	j	PROPN
iajs-2615	39	24	is	be	AUX
iajs-2615	39	25	a	a	DET
iajs-2615	39	26	wp	wp	NOUN
iajs-2615	39	27	–	–	PUNCT
iajs-2615	39	28	2	2	NUM
iajs-2615	39	29	–	–	PUNCT
iajs-2615	39	30	absorbing	absorb	VERB
iajs-2615	39	31	r	r	NOUN
iajs-2615	39	32	–	–	PUNCT
iajs-2615	39	33	submodule	submodule	NOUN
iajs-2615	39	34	of	of	ADP
iajs-2615	39	35	an	an	DET
iajs-2615	39	36	r	r	NOUN
iajs-2615	39	37	–	–	PUNCT
iajs-2615	39	38	module	module	NOUN
iajs-2615	39	39	r.	r.	PROPN
iajs-2615	39	40	example	example	NOUN
iajs-2615	39	41	and	and	CCONJ
iajs-2615	39	42	remarks	remark	VERB
iajs-2615	39	43	.2	.2	NUM
iajs-2615	39	44	.	.	PUNCT
iajs-2615	40	1	1	1	X
iajs-2615	40	2	.	.	X
iajs-2615	40	3	in	in	ADP
iajs-2615	40	4	the	the	DET
iajs-2615	40	5	z	z	NOUN
iajs-2615	40	6	–	–	PUNCT
iajs-2615	40	7	module	module	NOUN
iajs-2615	40	8	𝑍36	𝑍36	PROPN
iajs-2615	40	9	,	,	PUNCT
iajs-2615	40	10	the	the	DET
iajs-2615	40	11	only	only	ADJ
iajs-2615	40	12	essential	essential	ADJ
iajs-2615	40	13	submodules	submodule	NOUN
iajs-2615	40	14	are	be	AUX
iajs-2615	40	15	˂	˂	PROPN
iajs-2615	40	16	2̅	2̅	NUM
iajs-2615	40	17	>	>	X
iajs-2615	40	18	,	,	PUNCT
iajs-2615	40	19	˂	˂	NOUN
iajs-2615	40	20	3	3	NUM
iajs-2615	40	21	̅	̅	NOUN
iajs-2615	40	22	>	>	X
iajs-2615	40	23	,	,	PUNCT
iajs-2615	40	24	˂	˂	PROPN
iajs-2615	40	25	6̅	6̅	PROPN
iajs-2615	40	26	>	>	X
iajs-2615	40	27	and	and	CCONJ
iajs-2615	40	28	z36	z36	PROPN
iajs-2615	40	29	itself	itself	PRON
iajs-2615	40	30	thus	thus	ADV
iajs-2615	40	31	soc	soc	NOUN
iajs-2615	40	32	(	(	PUNCT
iajs-2615	40	33	z36	z36	NOUN
iajs-2615	40	34	)	)	PUNCT
iajs-2615	41	1	=	=	PUNCT
iajs-2615	42	1	˂	˂	NOUN
iajs-2615	42	2	6̅	6̅	NOUN
iajs-2615	42	3	>	>	X
iajs-2615	42	4	=	=	PUNCT
iajs-2615	42	5	{	{	PUNCT
iajs-2615	42	6	0̅	0̅	NOUN
iajs-2615	42	7	,	,	PUNCT
iajs-2615	42	8	6̅	6̅	NUM
iajs-2615	42	9	,	,	PUNCT
iajs-2615	42	10	12̅̅̅̅	12̅̅̅̅	PROPN
iajs-2615	42	11	,	,	PUNCT
iajs-2615	42	12	18̅̅̅̅	18̅̅̅̅	NUM
iajs-2615	42	13	,	,	PUNCT
iajs-2615	42	14	24	24	NUM
iajs-2615	42	15	̅̅	̅̅	PROPN
iajs-2615	42	16	̅̅	̅̅	NOUN
iajs-2615	42	17	,	,	PUNCT
iajs-2615	42	18	30̅̅̅̅	30̅̅̅̅	PROPN
iajs-2615	42	19	}	}	PUNCT
iajs-2615	42	20	2	2	NUM
iajs-2615	42	21	.	.	PUNCT
iajs-2615	43	1	it	it	PRON
iajs-2615	43	2	is	be	AUX
iajs-2615	43	3	clear	clear	ADJ
iajs-2615	43	4	that	that	SCONJ
iajs-2615	43	5	the	the	DET
iajs-2615	43	6	submodules	submodule	NOUN
iajs-2615	43	7	of	of	ADP
iajs-2615	43	8	the	the	DET
iajs-2615	43	9	z	z	NOUN
iajs-2615	43	10	–	–	PUNCT
iajs-2615	43	11	module	module	NOUN
iajs-2615	43	12	z36	z36	NOUN
iajs-2615	43	13	are	be	AUX
iajs-2615	43	14	˂	˂	PROPN
iajs-2615	43	15	4̅	4̅	PROPN
iajs-2615	43	16	>	>	X
iajs-2615	43	17	,	,	PUNCT
iajs-2615	43	18	˂	˂	PROPN
iajs-2615	43	19	6̅	6̅	NUM
iajs-2615	43	20	>	>	X
iajs-2615	43	21	,	,	PUNCT
iajs-2615	43	22	˂	˂	PROPN
iajs-2615	43	23	9̅	9̅	SYM
iajs-2615	43	24	>	>	X
iajs-2615	43	25	,	,	PUNCT
iajs-2615	43	26	˂	˂	PROPN
iajs-2615	43	27	12̅̅̅̅	12̅̅̅̅	PROPN
iajs-2615	43	28	>	>	X
iajs-2615	43	29	and	and	CCONJ
iajs-2615	43	30	˂	˂	PROPN
iajs-2615	43	31	18̅̅̅̅	18̅̅̅̅	PROPN
iajs-2615	43	32	>	>	X
iajs-2615	43	33	are	be	AUX
iajs-2615	43	34	wp	wp	PROPN
iajs-2615	43	35	–	–	PUNCT
iajs-2615	43	36	2	2	NUM
iajs-2615	43	37	–	–	PUNCT
iajs-2615	43	38	absorbing	absorb	VERB
iajs-2615	43	39	submodules	submodule	NOUN
iajs-2615	43	40	.	.	PUNCT
iajs-2615	44	1	3	3	X
iajs-2615	44	2	.	.	PUNCT
iajs-2615	45	1	the	the	DET
iajs-2615	45	2	submodules	submodules	NOUN
iajs-2615	45	3	˂	˂	PROPN
iajs-2615	45	4	12̅̅̅̅	12̅̅̅̅	PROPN
iajs-2615	45	5	>	>	X
iajs-2615	45	6	and	and	CCONJ
iajs-2615	45	7	˂	˂	PROPN
iajs-2615	45	8	18̅̅̅̅	18̅̅̅̅	PROPN
iajs-2615	45	9	>	>	PUNCT
iajs-2615	45	10	of	of	ADP
iajs-2615	45	11	the	the	DET
iajs-2615	45	12	z	z	NOUN
iajs-2615	45	13	–	–	PUNCT
iajs-2615	45	14	module	module	NOUN
iajs-2615	45	15	z36	z36	NOUN
iajs-2615	45	16	are	be	AUX
iajs-2615	45	17	not	not	PART
iajs-2615	45	18	weakly	weakly	ADJ
iajs-2615	45	19	–	–	PUNCT
iajs-2615	45	20	2	2	NUM
iajs-2615	45	21	–	–	PUNCT
iajs-2615	45	22	absorbing	absorb	VERB
iajs-2615	45	23	submodules	submodule	NOUN
iajs-2615	45	24	,	,	PUNCT
iajs-2615	45	25	since	since	SCONJ
iajs-2615	45	26	0	0	NUM
iajs-2615	45	27	≠	≠	PROPN
iajs-2615	45	28	2	2	NUM
iajs-2615	45	29	.	.	SYM
iajs-2615	45	30	3	3	NUM
iajs-2615	45	31	.	.	PUNCT
iajs-2615	46	1	2̅	2̅	NUM
iajs-2615	46	2	∈	∈	PROPN
iajs-2615	46	3	˂	˂	PROPN
iajs-2615	46	4	12̅̅̅̅	12̅̅̅̅	PROPN
iajs-2615	46	5	>	>	X
iajs-2615	46	6	for	for	ADP
iajs-2615	46	7	2	2	NUM
iajs-2615	46	8	,	,	PUNCT
iajs-2615	46	9	3	3	NUM
iajs-2615	46	10	∈	∈	NOUN
iajs-2615	46	11	z	z	NOUN
iajs-2615	46	12	,	,	PUNCT
iajs-2615	46	13	2̅	2̅	PROPN
iajs-2615	46	14	∈	∈	NOUN
iajs-2615	46	15	z36	z36	NOUN
iajs-2615	46	16	but	but	CCONJ
iajs-2615	46	17	2	2	NUM
iajs-2615	46	18	.	.	PUNCT
iajs-2615	47	1	2̅	2̅	NUM
iajs-2615	47	2	=	=	SYM
iajs-2615	47	3	4̅	4̅	ADJ
iajs-2615	47	4			NUM
iajs-2615	47	5	˂	˂	PROPN
iajs-2615	47	6	12̅̅̅̅	12̅̅̅̅	PROPN
iajs-2615	47	7	>	>	X
iajs-2615	47	8	and	and	CCONJ
iajs-2615	47	9	3	3	NUM
iajs-2615	47	10	.	.	PUNCT
iajs-2615	48	1	2̅	2̅	NUM
iajs-2615	48	2	=	=	SYM
iajs-2615	48	3	6̅	6̅	NUM
iajs-2615	48	4			NUM
iajs-2615	48	5	˂	˂	PROPN
iajs-2615	48	6	12̅̅̅̅	12̅̅̅̅	PROPN
iajs-2615	48	7	>	>	X
iajs-2615	48	8	and	and	CCONJ
iajs-2615	48	9	2	2	NUM
iajs-2615	48	10	.	.	NOUN
iajs-2615	48	11	3	3	NUM
iajs-2615	48	12	=	=	SYM
iajs-2615	48	13	6	6	NUM
iajs-2615	48	14			NOUN
iajs-2615	49	1	[	[	X
iajs-2615	49	2	˂	˂	PROPN
iajs-2615	49	3	12̅̅̅̅	12̅̅̅̅	PROPN
iajs-2615	49	4	>	>	X
iajs-2615	49	5	:	:	PUNCT
iajs-2615	49	6	z	z	NOUN
iajs-2615	49	7	z36	z36	NOUN
iajs-2615	49	8	]	]	PUNCT
iajs-2615	49	9	=	=	PUNCT
iajs-2615	50	1	12	12	NUM
iajs-2615	50	2	z	z	NOUN
iajs-2615	50	3	.	.	PUNCT
iajs-2615	51	1	4	4	X
iajs-2615	51	2	.	.	PUNCT
iajs-2615	52	1	the	the	DET
iajs-2615	52	2	submodule	submodule	NOUN
iajs-2615	52	3	˂	˂	PROPN
iajs-2615	52	4	2̅	2̅	NUM
iajs-2615	52	5	>	>	X
iajs-2615	52	6	,	,	PUNCT
iajs-2615	52	7	˂	˂	NOUN
iajs-2615	52	8	3	3	NUM
iajs-2615	52	9	̅	̅	NOUN
iajs-2615	52	10	>	>	X
iajs-2615	52	11	of	of	ADP
iajs-2615	52	12	the	the	DET
iajs-2615	52	13	zmodule	zmodule	NOUN
iajs-2615	52	14	z36	z36	NOUN
iajs-2615	52	15	are	be	AUX
iajs-2615	52	16	weakly	weakly	ADJ
iajs-2615	52	17	–	–	PUNCT
iajs-2615	52	18	2	2	NUM
iajs-2615	52	19	–	–	PUNCT
iajs-2615	52	20	absorbing	absorb	VERB
iajs-2615	52	21	submodules	submodule	NOUN
iajs-2615	52	22	of	of	ADP
iajs-2615	52	23	z36	z36	NOUN
iajs-2615	52	24	because	because	SCONJ
iajs-2615	52	25	they	they	PRON
iajs-2615	52	26	are	be	AUX
iajs-2615	52	27	weakly	weakly	ADJ
iajs-2615	52	28	prime	prime	ADJ
iajs-2615	52	29	submodules	submodule	NOUN
iajs-2615	52	30	of	of	ADP
iajs-2615	52	31	z	z	PROPN
iajs-2615	52	32	z36	z36	PROPN
iajs-2615	52	33	.	.	PUNCT
iajs-2615	53	1	5	5	NUM
iajs-2615	53	2	.	.	PUNCT
iajs-2615	54	1	it	it	PRON
iajs-2615	54	2	is	be	AUX
iajs-2615	54	3	clear	clear	ADJ
iajs-2615	54	4	that	that	SCONJ
iajs-2615	54	5	the	the	DET
iajs-2615	54	6	submodules	submodules	NOUN
iajs-2615	54	7	˂	˂	PROPN
iajs-2615	54	8	4̅	4̅	PROPN
iajs-2615	54	9	>	>	X
iajs-2615	54	10	,	,	PUNCT
iajs-2615	54	11	˂	˂	PROPN
iajs-2615	54	12	6̅	6̅	NUM
iajs-2615	54	13	>	>	X
iajs-2615	54	14	and	and	CCONJ
iajs-2615	54	15	˂	˂	PROPN
iajs-2615	54	16	9̅	9̅	PROPN
iajs-2615	54	17	>	>	X
iajs-2615	54	18	of	of	ADP
iajs-2615	54	19	the	the	DET
iajs-2615	54	20	z	z	NOUN
iajs-2615	54	21	–	–	PUNCT
iajs-2615	54	22	module	module	NOUN
iajs-2615	54	23	z36	z36	NOUN
iajs-2615	54	24	are	be	AUX
iajs-2615	54	25	weakly	weakly	ADJ
iajs-2615	54	26	–	–	PUNCT
iajs-2615	54	27	2	2	NUM
iajs-2615	54	28	–	–	PUNCT
iajs-2615	54	29	absorbing	absorb	VERB
iajs-2615	54	30	submodules	submodule	NOUN
iajs-2615	54	31	.	.	PUNCT
iajs-2615	55	1	6	6	NUM
iajs-2615	55	2	.	.	PUNCT
iajs-2615	56	1	it	it	PRON
iajs-2615	56	2	is	be	AUX
iajs-2615	56	3	clear	clear	ADJ
iajs-2615	56	4	that	that	SCONJ
iajs-2615	56	5	every	every	DET
iajs-2615	56	6	weakly	weakly	ADJ
iajs-2615	56	7	–	–	PUNCT
iajs-2615	56	8	2	2	NUM
iajs-2615	56	9	–	–	PUNCT
iajs-2615	56	10	absorbing	absorb	VERB
iajs-2615	56	11	submodule	submodule	NOUN
iajs-2615	56	12	of	of	ADP
iajs-2615	56	13	an	an	DET
iajs-2615	56	14	r	r	NOUN
iajs-2615	56	15	–	–	PUNCT
iajs-2615	56	16	module	module	NOUN
iajs-2615	56	17	e	e	NOUN
iajs-2615	56	18	is	be	AUX
iajs-2615	56	19	a	a	DET
iajs-2615	56	20	wp	wp	NOUN
iajs-2615	56	21	–	–	PUNCT
iajs-2615	56	22	2	2	NUM
iajs-2615	56	23	–	–	PUNCT
iajs-2615	56	24	absorbing	absorbing	ADJ
iajs-2615	56	25	,	,	PUNCT
iajs-2615	56	26	but	but	CCONJ
iajs-2615	56	27	not	not	PART
iajs-2615	56	28	conversely	conversely	ADV
iajs-2615	56	29	,	,	PUNCT
iajs-2615	56	30	the	the	DET
iajs-2615	56	31	following	follow	VERB
iajs-2615	56	32	example	example	NOUN
iajs-2615	56	33	shows	show	VERB
iajs-2615	56	34	that	that	SCONJ
iajs-2615	56	35	:	:	PUNCT
iajs-2615	56	36	-in	-in	ADP
iajs-2615	56	37	the	the	DET
iajs-2615	56	38	z	z	NOUN
iajs-2615	56	39	–	–	PUNCT
iajs-2615	56	40	module	module	NOUN
iajs-2615	56	41	z36	z36	NOUN
iajs-2615	56	42	,	,	PUNCT
iajs-2615	56	43	the	the	DET
iajs-2615	56	44	submodule	submodule	NOUN
iajs-2615	56	45	˂	˂	PROPN
iajs-2615	56	46	18̅̅̅̅	18̅̅̅̅	PROPN
iajs-2615	56	47	>	>	X
iajs-2615	56	48	is	be	AUX
iajs-2615	56	49	a	a	DET
iajs-2615	56	50	wp	wp	NOUN
iajs-2615	56	51	–	–	PUNCT
iajs-2615	56	52	2absorbing	2absorbing	NUM
iajs-2615	56	53	by	by	ADP
iajs-2615	56	54	(	(	PUNCT
iajs-2615	56	55	2	2	NUM
iajs-2615	56	56	)	)	PUNCT
iajs-2615	56	57	,	,	PUNCT
iajs-2615	56	58	but	but	CCONJ
iajs-2615	56	59	˂	˂	PROPN
iajs-2615	56	60	18̅̅̅̅	18̅̅̅̅	PROPN
iajs-2615	56	61	>	>	X
iajs-2615	56	62	is	be	AUX
iajs-2615	56	63	not	not	PART
iajs-2615	56	64	weakly	weakly	ADJ
iajs-2615	56	65	–	–	PUNCT
iajs-2615	56	66	2	2	NUM
iajs-2615	56	67	–	–	PUNCT
iajs-2615	56	68	absorbing	absorb	VERB
iajs-2615	56	69	submodule	submodule	NOUN
iajs-2615	56	70	by	by	ADP
iajs-2615	56	71	(	(	PUNCT
iajs-2615	56	72	3	3	NUM
iajs-2615	56	73	)	)	PUNCT
iajs-2615	56	74	.	.	PUNCT
iajs-2615	57	1	89	89	NUM
iajs-2615	58	1	ibn	ibn	PROPN
iajs-2615	58	2	al	al	PROPN
iajs-2615	58	3	-	-	PUNCT
iajs-2615	58	4	haitham	haitham	PROPN
iajs-2615	58	5	jour	jour	X
iajs-2615	58	6	.	.	PROPN
iajs-2615	58	7	for	for	ADP
iajs-2615	58	8	pure	pure	ADJ
iajs-2615	58	9	&	&	CCONJ
iajs-2615	58	10	appl	appl	PROPN
iajs-2615	58	11	.	.	PUNCT
iajs-2615	59	1	sci	sci	PROPN
iajs-2615	59	2	.	.	PROPN
iajs-2615	60	1	34	34	NUM
iajs-2615	60	2	(	(	PUNCT
iajs-2615	60	3	2	2	NUM
iajs-2615	60	4	)	)	PUNCT
iajs-2615	60	5	2021	2021	NUM
iajs-2615	60	6	7	7	NUM
iajs-2615	60	7	.	.	PUNCT
iajs-2615	61	1	it	it	PRON
iajs-2615	61	2	is	be	AUX
iajs-2615	61	3	clear	clear	ADJ
iajs-2615	61	4	that	that	SCONJ
iajs-2615	61	5	every	every	DET
iajs-2615	61	6	weakly	weakly	ADJ
iajs-2615	61	7	prime	prime	ADJ
iajs-2615	61	8	submodule	submodule	NOUN
iajs-2615	61	9	of	of	ADP
iajs-2615	61	10	an	an	DET
iajs-2615	61	11	r	r	NOUN
iajs-2615	61	12	–	–	PUNCT
iajs-2615	61	13	module	module	NOUN
iajs-2615	61	14	e	e	NOUN
iajs-2615	61	15	is	be	AUX
iajs-2615	61	16	a	a	DET
iajs-2615	61	17	wp	wp	NOUN
iajs-2615	61	18	–	–	PUNCT
iajs-2615	61	19	2	2	NUM
iajs-2615	61	20	–	–	PUNCT
iajs-2615	61	21	absorbing	absorbing	ADJ
iajs-2615	61	22	but	but	CCONJ
iajs-2615	61	23	not	not	PART
iajs-2615	61	24	conversely	conversely	ADV
iajs-2615	61	25	.	.	PUNCT
iajs-2615	62	1	the	the	DET
iajs-2615	62	2	following	following	ADJ
iajs-2615	62	3	example	example	NOUN
iajs-2615	62	4	explains	explain	VERB
iajs-2615	62	5	that	that	SCONJ
iajs-2615	62	6	in	in	ADP
iajs-2615	62	7	the	the	DET
iajs-2615	62	8	zmodule	zmodule	NOUN
iajs-2615	62	9	z36	z36	NOUN
iajs-2615	62	10	,	,	PUNCT
iajs-2615	62	11	the	the	DET
iajs-2615	62	12	submodule	submodule	NOUN
iajs-2615	62	13	˂	˂	PROPN
iajs-2615	62	14	4̅	4̅	PROPN
iajs-2615	62	15	>	>	X
iajs-2615	62	16	is	be	AUX
iajs-2615	62	17	a	a	DET
iajs-2615	62	18	wp	wp	NOUN
iajs-2615	62	19	–	–	PUNCT
iajs-2615	62	20	2	2	NUM
iajs-2615	62	21	–	–	PUNCT
iajs-2615	62	22	absorbing	absorb	VERB
iajs-2615	62	23	by	by	ADP
iajs-2615	62	24	(	(	PUNCT
iajs-2615	62	25	2	2	NUM
iajs-2615	62	26	)	)	PUNCT
iajs-2615	62	27	.	.	PUNCT
iajs-2615	63	1	but	but	CCONJ
iajs-2615	63	2	˂	˂	PROPN
iajs-2615	63	3	4̅	4̅	PROPN
iajs-2615	63	4	>	>	X
iajs-2615	63	5	is	be	AUX
iajs-2615	63	6	not	not	PART
iajs-2615	63	7	weakly	weakly	ADJ
iajs-2615	63	8	prime	prime	ADJ
iajs-2615	63	9	submodule	submodule	NOUN
iajs-2615	63	10	,	,	PUNCT
iajs-2615	63	11	since	since	SCONJ
iajs-2615	63	12	0	0	NUM
iajs-2615	63	13	≠	≠	PROPN
iajs-2615	63	14	2	2	NUM
iajs-2615	63	15	.	.	PUNCT
iajs-2615	64	1	2̅	2̅	NUM
iajs-2615	64	2			NOUN
iajs-2615	64	3	˂	˂	PROPN
iajs-2615	64	4	4̅	4̅	PROPN
iajs-2615	64	5	>	>	X
iajs-2615	64	6	for	for	ADP
iajs-2615	64	7	2	2	NUM
iajs-2615	64	8			NOUN
iajs-2615	64	9	z	z	NOUN
iajs-2615	64	10	,	,	PUNCT
iajs-2615	64	11	2̅	2̅	PROPN
iajs-2615	64	12			NOUN
iajs-2615	64	13	z36	z36	NOUN
iajs-2615	64	14	,	,	PUNCT
iajs-2615	64	15	but	but	CCONJ
iajs-2615	64	16	2̅	2̅	NOUN
iajs-2615	64	17			NOUN
iajs-2615	64	18	˂	˂	NOUN
iajs-2615	64	19	4̅	4̅	PROPN
iajs-2615	64	20	>	>	X
iajs-2615	64	21	and	and	CCONJ
iajs-2615	64	22	2	2	NUM
iajs-2615	64	23			NOUN
iajs-2615	65	1	[	[	X
iajs-2615	65	2	˂	˂	PROPN
iajs-2615	65	3	4̅	4̅	PROPN
iajs-2615	65	4	>	>	X
iajs-2615	65	5	:	:	PUNCT
iajs-2615	65	6	z	z	NOUN
iajs-2615	65	7	z36	z36	NOUN
iajs-2615	65	8	]	]	PUNCT
iajs-2615	66	1	=	=	SYM
iajs-2615	66	2	4z	4z	NOUN
iajs-2615	66	3	.	.	PUNCT
iajs-2615	66	4	8	8	NUM
iajs-2615	66	5	.	.	PUNCT
iajs-2615	67	1	in	in	ADP
iajs-2615	67	2	general	general	ADJ
iajs-2615	67	3	,	,	PUNCT
iajs-2615	67	4	the	the	DET
iajs-2615	67	5	submodule	submodule	PROPN
iajs-2615	67	6	nz	nz	PROPN
iajs-2615	67	7	of	of	ADP
iajs-2615	67	8	the	the	DET
iajs-2615	67	9	z	z	NOUN
iajs-2615	67	10	–	–	PUNCT
iajs-2615	67	11	module	module	NOUN
iajs-2615	67	12	z	z	NOUN
iajs-2615	67	13	is	be	AUX
iajs-2615	67	14	weakly	weakly	ADJ
iajs-2615	67	15	–	–	PUNCT
iajs-2615	67	16	2	2	NUM
iajs-2615	67	17	–	–	PUNCT
iajs-2615	67	18	absorbing	absorb	VERB
iajs-2615	67	19	if	if	SCONJ
iajs-2615	67	20	n	n	NOUN
iajs-2615	67	21	=	=	SYM
iajs-2615	67	22	0	0	NUM
iajs-2615	67	23	,	,	PUNCT
iajs-2615	67	24	p	p	X
iajs-2615	67	25	,	,	PUNCT
iajs-2615	67	26	p2	p2	PROPN
iajs-2615	67	27	and	and	CCONJ
iajs-2615	67	28	pq	pq	INTJ
iajs-2615	67	29	by	by	ADP
iajs-2615	67	30	[	[	X
iajs-2615	67	31	7	7	NUM
iajs-2615	67	32	,	,	PUNCT
iajs-2615	67	33	rems	rem	NOUN
iajs-2615	67	34	.	.	PUNCT
iajs-2615	68	1	and	and	CCONJ
iajs-2615	68	2	exs	exs	PROPN
iajs-2615	68	3	.	.	PUNCT
iajs-2615	69	1	(	(	PUNCT
iajs-2615	69	2	1.2.2	1.2.2	NUM
iajs-2615	69	3	)	)	PUNCT
iajs-2615	69	4	(	(	PUNCT
iajs-2615	69	5	3	3	NUM
iajs-2615	69	6	)	)	PUNCT
iajs-2615	69	7	]	]	PUNCT
iajs-2615	69	8	.	.	PUNCT
iajs-2615	70	1	hence	hence	ADV
iajs-2615	70	2	the	the	DET
iajs-2615	70	3	submodules	submodule	NOUN
iajs-2615	70	4	nz	nz	PROPN
iajs-2615	70	5	of	of	ADP
iajs-2615	70	6	the	the	DET
iajs-2615	70	7	z	z	NOUN
iajs-2615	70	8	–	–	PUNCT
iajs-2615	70	9	module	module	NOUN
iajs-2615	70	10	z	z	NOUN
iajs-2615	70	11	is	be	AUX
iajs-2615	70	12	a	a	DET
iajs-2615	70	13	wp	wp	NOUN
iajs-2615	70	14	–	–	PUNCT
iajs-2615	70	15	2	2	NUM
iajs-2615	70	16	–	–	PUNCT
iajs-2615	70	17	absorbing	absorb	VERB
iajs-2615	70	18	if	if	SCONJ
iajs-2615	70	19	n	n	NOUN
iajs-2615	70	20	=	=	SYM
iajs-2615	70	21	0	0	NUM
iajs-2615	70	22	,	,	PUNCT
iajs-2615	70	23	p	p	NOUN
iajs-2615	70	24	,	,	PUNCT
iajs-2615	70	25	p2	p2	PROPN
iajs-2615	70	26	and	and	CCONJ
iajs-2615	70	27	pq	pq	INTJ
iajs-2615	70	28	by	by	ADV
iajs-2615	70	29	(	(	PUNCT
iajs-2615	70	30	6	6	NUM
iajs-2615	70	31	)	)	PUNCT
iajs-2615	70	32	.	.	PUNCT
iajs-2615	71	1	9	9	X
iajs-2615	71	2	.	.	PUNCT
iajs-2615	72	1	the	the	DET
iajs-2615	72	2	submodules	submodule	NOUN
iajs-2615	72	3	12z	12z	PROPN
iajs-2615	72	4	and	and	CCONJ
iajs-2615	72	5	18z	18z	NOUN
iajs-2615	72	6	of	of	ADP
iajs-2615	72	7	the	the	DET
iajs-2615	72	8	z	z	NOUN
iajs-2615	72	9	–	–	PUNCT
iajs-2615	72	10	module	module	NOUN
iajs-2615	72	11	z	z	NOUN
iajs-2615	72	12	are	be	AUX
iajs-2615	72	13	not	not	PART
iajs-2615	72	14	wp	wp	PROPN
iajs-2615	72	15	–	–	PUNCT
iajs-2615	72	16	2	2	NUM
iajs-2615	72	17	–	–	PUNCT
iajs-2615	72	18	absorbing	absorb	VERB
iajs-2615	72	19	because	because	SCONJ
iajs-2615	72	20	soc	soc	NOUN
iajs-2615	72	21	(	(	PUNCT
iajs-2615	72	22	z	z	NOUN
iajs-2615	72	23	)	)	PUNCT
iajs-2615	72	24	=	=	SYM
iajs-2615	73	1	(	(	PUNCT
iajs-2615	73	2	0	0	X
iajs-2615	73	3	)	)	PUNCT
iajs-2615	74	1	[	[	X
iajs-2615	74	2	8	8	NUM
iajs-2615	74	3	]	]	PUNCT
iajs-2615	74	4	.	.	PUNCT
iajs-2615	75	1	that	that	ADV
iajs-2615	75	2	is	is	ADV
iajs-2615	75	3	,	,	PUNCT
iajs-2615	75	4	0	0	NUM
iajs-2615	75	5	≠	≠	PROPN
iajs-2615	75	6	2	2	NUM
iajs-2615	75	7	.	.	SYM
iajs-2615	75	8	3	3	NUM
iajs-2615	75	9	.	.	SYM
iajs-2615	75	10	2	2	NUM
iajs-2615	75	11			NOUN
iajs-2615	75	12	12z	12z	NUM
iajs-2615	75	13	for	for	ADP
iajs-2615	75	14	2	2	NUM
iajs-2615	75	15	,	,	PUNCT
iajs-2615	75	16	3	3	NUM
iajs-2615	75	17	,	,	PUNCT
iajs-2615	75	18	2	2	NUM
iajs-2615	75	19			NOUN
iajs-2615	75	20	z	z	NOUN
iajs-2615	75	21	,	,	PUNCT
iajs-2615	75	22	but	but	CCONJ
iajs-2615	75	23	2	2	NUM
iajs-2615	75	24	.	.	SYM
iajs-2615	75	25	2	2	NUM
iajs-2615	75	26			NUM
iajs-2615	75	27	12z	12z	X
iajs-2615	76	1	+	+	CCONJ
iajs-2615	76	2	soc	soc	NOUN
iajs-2615	76	3	(	(	PUNCT
iajs-2615	76	4	z	z	NOUN
iajs-2615	76	5	)	)	PUNCT
iajs-2615	76	6	and	and	CCONJ
iajs-2615	76	7	3	3	NUM
iajs-2615	76	8	.2	.2	NUM
iajs-2615	76	9	12z	12z	NOUN
iajs-2615	76	10	+	+	CCONJ
iajs-2615	76	11	soc	soc	NOUN
iajs-2615	76	12	(	(	PUNCT
iajs-2615	76	13	z	z	NOUN
iajs-2615	76	14	)	)	PUNCT
iajs-2615	76	15	and	and	CCONJ
iajs-2615	76	16	2	2	NUM
iajs-2615	76	17	.	.	SYM
iajs-2615	76	18	3	3	NUM
iajs-2615	76	19			NOUN
iajs-2615	76	20	[	[	PUNCT
iajs-2615	76	21	12z	12z	X
iajs-2615	76	22	+	+	CCONJ
iajs-2615	76	23	soc	soc	NOUN
iajs-2615	76	24	(	(	PUNCT
iajs-2615	76	25	z	z	NOUN
iajs-2615	76	26	)	)	PUNCT
iajs-2615	76	27	:	:	PUNCT
iajs-2615	77	1	z	z	X
iajs-2615	77	2	z	z	X
iajs-2615	77	3	]	]	PUNCT
iajs-2615	77	4	=	=	SYM
iajs-2615	77	5	12z	12z	X
iajs-2615	77	6	.	.	PUNCT
iajs-2615	78	1	also	also	ADV
iajs-2615	78	2	,	,	PUNCT
iajs-2615	78	3	0	0	NUM
iajs-2615	78	4	≠	≠	PROPN
iajs-2615	78	5	2	2	NUM
iajs-2615	78	6	.	.	SYM
iajs-2615	78	7	3	3	NUM
iajs-2615	78	8	.	.	X
iajs-2615	78	9	3	3	NUM
iajs-2615	78	10			NOUN
iajs-2615	78	11	18z	18z	VERB
iajs-2615	78	12	for	for	ADP
iajs-2615	78	13	2	2	NUM
iajs-2615	78	14	,	,	PUNCT
iajs-2615	78	15	3	3	NUM
iajs-2615	78	16			NOUN
iajs-2615	78	17	z	z	NOUN
iajs-2615	78	18	,	,	PUNCT
iajs-2615	78	19	but	but	CCONJ
iajs-2615	78	20	2.3	2.3	NUM
iajs-2615	78	21			NUM
iajs-2615	78	22	18z	18z	NOUN
iajs-2615	78	23	+	+	CCONJ
iajs-2615	78	24	soc	soc	NOUN
iajs-2615	78	25	(	(	PUNCT
iajs-2615	78	26	z	z	NOUN
iajs-2615	78	27	)	)	PUNCT
iajs-2615	78	28	and	and	CCONJ
iajs-2615	78	29	3.3	3.3	NUM
iajs-2615	78	30			NUM
iajs-2615	78	31	18z	18z	NOUN
iajs-2615	78	32	+	+	CCONJ
iajs-2615	78	33	soc	soc	NOUN
iajs-2615	78	34	(	(	PUNCT
iajs-2615	78	35	z	z	NOUN
iajs-2615	78	36	)	)	PUNCT
iajs-2615	78	37	and	and	CCONJ
iajs-2615	79	1	2	2	NUM
iajs-2615	79	2	.	.	SYM
iajs-2615	79	3	3	3	NUM
iajs-2615	79	4			NOUN
iajs-2615	79	5	[	[	PUNCT
iajs-2615	79	6	18z	18z	NOUN
iajs-2615	79	7	+	+	CCONJ
iajs-2615	79	8	soc	soc	NOUN
iajs-2615	79	9	(	(	PUNCT
iajs-2615	79	10	z	z	NOUN
iajs-2615	79	11	)	)	PUNCT
iajs-2615	79	12	:	:	PUNCT
iajs-2615	80	1	z	z	X
iajs-2615	80	2	z	z	X
iajs-2615	80	3	]	]	PUNCT
iajs-2615	80	4	=	=	SYM
iajs-2615	80	5	18z	18z	NOUN
iajs-2615	80	6	.	.	PUNCT
iajs-2615	81	1	10	10	NUM
iajs-2615	81	2	.	.	PUNCT
iajs-2615	82	1	if	if	SCONJ
iajs-2615	82	2	a	a	PRON
iajs-2615	82	3	is	be	AUX
iajs-2615	82	4	a	a	DET
iajs-2615	82	5	wp	wp	NOUN
iajs-2615	82	6	–	–	PUNCT
iajs-2615	82	7	2	2	NUM
iajs-2615	82	8	–	–	PUNCT
iajs-2615	82	9	absorbing	absorb	VERB
iajs-2615	82	10	submodule	submodule	NOUN
iajs-2615	82	11	of	of	ADP
iajs-2615	82	12	an	an	DET
iajs-2615	82	13	r	r	NOUN
iajs-2615	82	14	–	–	PUNCT
iajs-2615	82	15	module	module	NOUN
iajs-2615	82	16	e	e	NOUN
iajs-2615	82	17	,	,	PUNCT
iajs-2615	82	18	then	then	ADV
iajs-2615	82	19	[	[	PUNCT
iajs-2615	82	20	a	a	X
iajs-2615	82	21	:	:	PUNCT
iajs-2615	82	22	r	r	NOUN
iajs-2615	82	23	e	e	NOUN
iajs-2615	82	24	]	]	PUNCT
iajs-2615	82	25	need	need	VERB
iajs-2615	82	26	not	not	PART
iajs-2615	82	27	to	to	PART
iajs-2615	82	28	be	be	AUX
iajs-2615	82	29	wp	wp	PROPN
iajs-2615	82	30	–	–	PUNCT
iajs-2615	82	31	2	2	NUM
iajs-2615	82	32	–	–	PUNCT
iajs-2615	82	33	absorbing	absorb	VERB
iajs-2615	82	34	ideal	ideal	NOUN
iajs-2615	82	35	of	of	ADP
iajs-2615	82	36	r	r	NOUN
iajs-2615	82	37	.	.	PUNCT
iajs-2615	83	1	for	for	ADP
iajs-2615	83	2	example	example	NOUN
iajs-2615	83	3	the	the	DET
iajs-2615	83	4	submodule	submodule	NOUN
iajs-2615	83	5	˂	˂	PROPN
iajs-2615	83	6	18̅̅̅̅	18̅̅̅̅	PROPN
iajs-2615	83	7	>	>	PUNCT
iajs-2615	83	8	of	of	ADP
iajs-2615	83	9	the	the	DET
iajs-2615	83	10	z	z	NOUN
iajs-2615	83	11	–	–	PUNCT
iajs-2615	83	12	module	module	NOUN
iajs-2615	83	13	z36	z36	NOUN
iajs-2615	83	14	is	be	AUX
iajs-2615	83	15	a	a	DET
iajs-2615	83	16	wp	wp	NOUN
iajs-2615	83	17	–	–	PUNCT
iajs-2615	83	18	2	2	NUM
iajs-2615	83	19	–	–	PUNCT
iajs-2615	83	20	absorbing	absorb	VERB
iajs-2615	83	21	submodule	submodule	NOUN
iajs-2615	83	22	by	by	ADP
iajs-2615	83	23	(	(	PUNCT
iajs-2615	83	24	2	2	NUM
iajs-2615	83	25	)	)	PUNCT
iajs-2615	83	26	,	,	PUNCT
iajs-2615	83	27	but	but	CCONJ
iajs-2615	84	1	[	[	X
iajs-2615	84	2	˂	˂	PROPN
iajs-2615	84	3	18̅̅̅̅	18̅̅̅̅	PROPN
iajs-2615	84	4	>	>	PUNCT
iajs-2615	84	5	:	:	PUNCT
iajs-2615	84	6	z	z	NOUN
iajs-2615	84	7	z36	z36	NOUN
iajs-2615	84	8	]	]	PUNCT
iajs-2615	84	9	=	=	SYM
iajs-2615	84	10	18z	18z	NOUN
iajs-2615	84	11	is	be	AUX
iajs-2615	84	12	not	not	PART
iajs-2615	84	13	wp	wp	PROPN
iajs-2615	84	14	–	–	PUNCT
iajs-2615	84	15	2	2	NUM
iajs-2615	84	16	–	–	PUNCT
iajs-2615	84	17	absorbing	absorb	VERB
iajs-2615	84	18	ideal	ideal	NOUN
iajs-2615	84	19	of	of	ADP
iajs-2615	84	20	z	z	NOUN
iajs-2615	84	21	by	by	ADP
iajs-2615	84	22	(	(	PUNCT
iajs-2615	84	23	9	9	NUM
iajs-2615	84	24	)	)	PUNCT
iajs-2615	84	25	.	.	PUNCT
iajs-2615	85	1	11	11	NUM
iajs-2615	85	2	.	.	PUNCT
iajs-2615	86	1	the	the	DET
iajs-2615	86	2	intersection	intersection	NOUN
iajs-2615	86	3	of	of	ADP
iajs-2615	86	4	two	two	NUM
iajs-2615	86	5	wp	wp	NOUN
iajs-2615	86	6	–	–	PUNCT
iajs-2615	86	7	2	2	NUM
iajs-2615	86	8	–	–	PUNCT
iajs-2615	86	9	absorbing	absorb	VERB
iajs-2615	86	10	submodules	submodule	NOUN
iajs-2615	86	11	of	of	ADP
iajs-2615	86	12	an	an	DET
iajs-2615	86	13	rmodule	rmodule	NOUN
iajs-2615	86	14	e	e	NOUN
iajs-2615	86	15	need	need	VERB
iajs-2615	86	16	not	not	PART
iajs-2615	86	17	to	to	PART
iajs-2615	86	18	be	be	AUX
iajs-2615	86	19	wp	wp	PROPN
iajs-2615	86	20	–	–	PUNCT
iajs-2615	86	21	2	2	NUM
iajs-2615	86	22	–	–	PUNCT
iajs-2615	86	23	absorbing	absorb	VERB
iajs-2615	86	24	submodule	submodule	NOUN
iajs-2615	86	25	.for	.for	PUNCT
iajs-2615	86	26	example	example	NOUN
iajs-2615	86	27	the	the	DET
iajs-2615	86	28	submodules	submodule	NOUN
iajs-2615	86	29	3z	3z	NUM
iajs-2615	86	30	,	,	PUNCT
iajs-2615	86	31	4z	4z	X
iajs-2615	86	32	are	be	AUX
iajs-2615	86	33	wp	wp	NOUN
iajs-2615	86	34	–	–	PUNCT
iajs-2615	86	35	2	2	NUM
iajs-2615	86	36	–	–	PUNCT
iajs-2615	86	37	absorbing	absorb	VERB
iajs-2615	86	38	submodule	submodule	NOUN
iajs-2615	86	39	of	of	ADP
iajs-2615	86	40	the	the	DET
iajs-2615	86	41	z	z	NOUN
iajs-2615	86	42	–	–	PUNCT
iajs-2615	86	43	module	module	NOUN
iajs-2615	86	44	z	z	NOUN
iajs-2615	86	45	by	by	ADP
iajs-2615	86	46	(	(	PUNCT
iajs-2615	86	47	8)	8)	NUM
iajs-2615	86	48	,	,	PUNCT
iajs-2615	86	49	but	but	CCONJ
iajs-2615	86	50	3z	3z	ADJ
iajs-2615	86	51			NOUN
iajs-2615	86	52	4z	4z	NOUN
iajs-2615	86	53	=	=	SYM
iajs-2615	86	54	12z	12z	X
iajs-2615	86	55	is	be	AUX
iajs-2615	86	56	not	not	PART
iajs-2615	86	57	wp	wp	PROPN
iajs-2615	86	58	–	–	PUNCT
iajs-2615	86	59	2	2	NUM
iajs-2615	86	60	–	–	PUNCT
iajs-2615	86	61	absorbing	absorb	VERB
iajs-2615	86	62	submodul	submodul	NOUN
iajs-2615	86	63	by	by	ADP
iajs-2615	86	64	(	(	PUNCT
iajs-2615	86	65	9	9	NUM
iajs-2615	86	66	)	)	PUNCT
iajs-2615	86	67	.	.	PUNCT
iajs-2615	87	1	the	the	DET
iajs-2615	87	2	following	follow	VERB
iajs-2615	87	3	results	result	NOUN
iajs-2615	87	4	are	be	AUX
iajs-2615	87	5	characterizations	characterization	NOUN
iajs-2615	87	6	of	of	ADP
iajs-2615	87	7	wp	wp	PROPN
iajs-2615	87	8	–	–	PUNCT
iajs-2615	87	9	2	2	NUM
iajs-2615	87	10	–	–	PUNCT
iajs-2615	87	11	absorbing	absorb	VERB
iajs-2615	87	12	submodules	submodule	NOUN
iajs-2615	87	13	.	.	PUNCT
iajs-2615	88	1	proposition	proposition	NOUN
iajs-2615	88	2	3	3	NUM
iajs-2615	88	3	.	.	PUNCT
iajs-2615	89	1	a	a	DET
iajs-2615	89	2	proper	proper	ADJ
iajs-2615	89	3	submodule	submodule	NOUN
iajs-2615	89	4	a	a	PRON
iajs-2615	89	5	of	of	ADP
iajs-2615	89	6	an	an	DET
iajs-2615	89	7	rmodule	rmodule	NOUN
iajs-2615	89	8	e	e	NOUN
iajs-2615	89	9	is	be	AUX
iajs-2615	89	10	a	a	DET
iajs-2615	89	11	wp	wp	NOUN
iajs-2615	89	12	–	–	PUNCT
iajs-2615	89	13	2	2	NUM
iajs-2615	89	14	–	–	PUNCT
iajs-2615	89	15	absorbing	absorb	VERB
iajs-2615	89	16	submodule	submodule	NOUN
iajs-2615	89	17	of	of	ADP
iajs-2615	89	18	e	e	PROPN
iajs-2615	89	19	if	if	SCONJ
iajs-2615	90	1	and	and	CCONJ
iajs-2615	90	2	only	only	ADV
iajs-2615	90	3	if	if	SCONJ
iajs-2615	90	4	for	for	ADP
iajs-2615	90	5	any	any	DET
iajs-2615	90	6	t	t	NOUN
iajs-2615	90	7	,	,	PUNCT
iajs-2615	90	8	s	s	PART
iajs-2615	90	9			PROPN
iajs-2615	90	10	r	r	NOUN
iajs-2615	90	11	with	with	ADP
iajs-2615	90	12	ts	ts	X
iajs-2615	90	13			VERB
iajs-2615	90	14	[	[	PUNCT
iajs-2615	90	15	a	a	DET
iajs-2615	90	16	+	+	X
iajs-2615	90	17	soc	soc	NOUN
iajs-2615	90	18	(	(	PUNCT
iajs-2615	90	19	e	e	NOUN
iajs-2615	90	20	)	)	PUNCT
iajs-2615	90	21	:	:	PUNCT
iajs-2615	91	1	r	r	NOUN
iajs-2615	91	2	e	e	NOUN
iajs-2615	91	3	]	]	X
iajs-2615	91	4	we	we	PRON
iajs-2615	91	5	have	have	VERB
iajs-2615	91	6	[	[	PUNCT
iajs-2615	91	7	a	a	X
iajs-2615	91	8	:	:	PUNCT
iajs-2615	91	9	e	e	NOUN
iajs-2615	91	10	ts	ts	X
iajs-2615	91	11	]	]	PUNCT
iajs-2615	91	12			PROPN
iajs-2615	91	13	[	[	PUNCT
iajs-2615	91	14	0	0	NUM
iajs-2615	91	15	:	:	PUNCT
iajs-2615	91	16	e	e	X
iajs-2615	91	17	ts	ts	X
iajs-2615	91	18	]	]	PUNCT
iajs-2615	91	19			NOUN
iajs-2615	91	20	[	[	PUNCT
iajs-2615	91	21	a	a	DET
iajs-2615	91	22	+	+	X
iajs-2615	91	23	soc	soc	NOUN
iajs-2615	91	24	(	(	PUNCT
iajs-2615	91	25	e	e	NOUN
iajs-2615	91	26	)	)	PUNCT
iajs-2615	91	27	:	:	PUNCT
iajs-2615	92	1	e	e	X
iajs-2615	92	2	t	t	PROPN
iajs-2615	92	3	]	]	PUNCT
iajs-2615	92	4			NOUN
iajs-2615	92	5	[	[	PUNCT
iajs-2615	92	6	a	a	DET
iajs-2615	92	7	+	+	X
iajs-2615	92	8	soc	soc	NOUN
iajs-2615	92	9	(	(	PUNCT
iajs-2615	92	10	e	e	NOUN
iajs-2615	92	11	)	)	PUNCT
iajs-2615	92	12	:	:	PUNCT
iajs-2615	92	13	e	e	X
iajs-2615	92	14	s	s	X
iajs-2615	92	15	]	]	X
iajs-2615	92	16	proof	proof	NOUN
iajs-2615	92	17	:	:	PUNCT
iajs-2615	92	18	(	(	PUNCT
iajs-2615	92	19			NOUN
iajs-2615	92	20	)	)	PUNCT
iajs-2615	92	21	tse	tse	PROPN
iajs-2615	92	22	,	,	PUNCT
iajs-2615	92	23	it	it	PRON
iajs-2615	92	24	follows	follow	VERB
iajs-2615	92	25	≠	≠	PROPN
iajs-2615	92	26	a	a	PRON
iajs-2615	92	27	.	.	PUNCT
iajs-2615	93	1	if	if	SCONJ
iajs-2615	93	2	0	0	NUM
iajs-2615	93	3	e	e	NUM
iajs-2615	93	4	]	]	PUNCT
iajs-2615	93	5	,	,	PUNCT
iajs-2615	93	6	then	then	ADV
iajs-2615	93	7	tse	tse	VERB
iajs-2615	93	8	r	r	PROPN
iajs-2615	93	9	a	a	DET
iajs-2615	93	10	+	+	NUM
iajs-2615	93	11	soc	soc	NOUN
iajs-2615	93	12	(	(	PUNCT
iajs-2615	93	13	e	e	NOUN
iajs-2615	93	14	)	)	PUNCT
iajs-2615	93	15	:	:	PUNCT
iajs-2615	94	1	[	[	PUNCT
iajs-2615	94	2	ts	ts	ADP
iajs-2615	94	3	]	]	PUNCT
iajs-2615	94	4	with	with	ADP
iajs-2615	94	5	ts	ts	ADP
iajs-2615	94	6	e	e	X
iajs-2615	94	7	a	a	X
iajs-2615	94	8	:	:	PUNCT
iajs-2615	94	9	[	[	PUNCT
iajs-2615	94	10	let	let	NOUN
iajs-2615	94	11	e	e	PROPN
iajs-2615	94	12	t	t	NOUN
iajs-2615	94	13	]	]	PUNCT
iajs-2615	94	14	or	or	CCONJ
iajs-2615	94	15	e	e	X
iajs-2615	94	16	e	e	X
iajs-2615	94	17	[	[	PUNCT
iajs-2615	94	18	a	a	DET
iajs-2615	94	19	+	+	X
iajs-2615	94	20	soc	soc	NOUN
iajs-2615	94	21	(	(	PUNCT
iajs-2615	94	22	e	e	NOUN
iajs-2615	94	23	)	)	PUNCT
iajs-2615	94	24	:	:	PUNCT
iajs-2615	94	25	a	a	X
iajs-2615	94	26	+	+	NUM
iajs-2615	94	27	soc	soc	NOUN
iajs-2615	94	28	(	(	PUNCT
iajs-2615	94	29	e	e	NOUN
iajs-2615	94	30	)	)	PUNCT
iajs-2615	94	31	,	,	PUNCT
iajs-2615	94	32	that	that	PRON
iajs-2615	94	33	is	be	AUX
iajs-2615	94	34	either	either	PRON
iajs-2615	94	35	e	e	X
iajs-2615	94	36	a	a	X
iajs-2615	94	37	+	+	X
iajs-2615	94	38	soc	soc	NOUN
iajs-2615	94	39	(	(	PUNCT
iajs-2615	94	40	e	e	NOUN
iajs-2615	94	41	)	)	PUNCT
iajs-2615	94	42	or	or	CCONJ
iajs-2615	94	43	se	se	X
iajs-2615	94	44	that	that	INTJ
iajs-2615	94	45	either	either	CCONJ
iajs-2615	94	46	te	te	PROPN
iajs-2615	94	47	[	[	PUNCT
iajs-2615	94	48	a	a	DET
iajs-2615	94	49	+	+	X
iajs-2615	94	50	soc	soc	NOUN
iajs-2615	94	51	(	(	PUNCT
iajs-2615	94	52	e	e	NOUN
iajs-2615	94	53	ts	ts	NOUN
iajs-2615	94	54	]	]	PUNCT
iajs-2615	94	55	e	e	X
iajs-2615	94	56	[	[	X
iajs-2615	94	57	0	0	NUM
iajs-2615	94	58	:	:	PUNCT
iajs-2615	94	59	ts	ts	NUM
iajs-2615	94	60	]	]	PUNCT
iajs-2615	94	61	.	.	PUNCT
iajs-2615	95	1	hence	hence	ADV
iajs-2615	95	2	e	e	X
iajs-2615	95	3	e	e	X
iajs-2615	95	4	[	[	PUNCT
iajs-2615	95	5	0	0	NUM
iajs-2615	95	6	:	:	PUNCT
iajs-2615	95	7	s	s	X
iajs-2615	95	8	]	]	PUNCT
iajs-2615	95	9	.	.	PUNCT
iajs-2615	96	1	if	if	SCONJ
iajs-2615	96	2	tse	tse	PROPN
iajs-2615	96	3	=	=	SYM
iajs-2615	96	4	0	0	PUNCT
iajs-2615	96	5	then	then	ADV
iajs-2615	96	6	e	e	X
iajs-2615	96	7	e	e	PROPN
iajs-2615	96	8	[	[	PUNCT
iajs-2615	96	9	a	a	DET
iajs-2615	96	10	+	+	X
iajs-2615	96	11	soc	soc	NOUN
iajs-2615	96	12	(	(	PUNCT
iajs-2615	96	13	e	e	NOUN
iajs-2615	96	14	)	)	PUNCT
iajs-2615	96	15	:	:	PUNCT
iajs-2615	96	16			NOUN
iajs-2615	96	17	[	[	PUNCT
iajs-2615	96	18	a	a	DET
iajs-2615	96	19	t	t	NOUN
iajs-2615	96	20	]	]	PUNCT
iajs-2615	96	21	e	e	X
iajs-2615	96	22	[	[	PUNCT
iajs-2615	96	23	a	a	DET
iajs-2615	96	24	+	+	X
iajs-2615	96	25	soc	soc	NOUN
iajs-2615	96	26	(	(	PUNCT
iajs-2615	96	27	e	e	NOUN
iajs-2615	96	28	)	)	PUNCT
iajs-2615	96	29	:	:	PUNCT
iajs-2615	96	30	ts	ts	NOUN
iajs-2615	96	31	]	]	PUNCT
iajs-2615	96	32	e	e	X
iajs-2615	96	33	[	[	PUNCT
iajs-2615	96	34	0	0	NUM
iajs-2615	96	35	:	:	PUNCT
iajs-2615	96	36	st	st	NUM
iajs-2615	96	37	]	]	PUNCT
iajs-2615	96	38	e	e	X
iajs-2615	96	39	s	s	X
iajs-2615	96	40	]	]	PUNCT
iajs-2615	96	41	.	.	PUNCT
iajs-2615	97	1	therefore	therefore	ADV
iajs-2615	97	2	[	[	PUNCT
iajs-2615	97	3	a	a	DET
iajs-2615	97	4	:	:	PUNCT
iajs-2615	97	5	e	e	X
iajs-2615	97	6	[	[	PUNCT
iajs-2615	97	7	a	a	DET
iajs-2615	97	8	+	+	X
iajs-2615	97	9	soc	soc	NOUN
iajs-2615	97	10	(	(	PUNCT
iajs-2615	97	11	e	e	NOUN
iajs-2615	97	12	)	)	PUNCT
iajs-2615	97	13	:	:	PUNCT
iajs-2615	97	14	t	t	NOUN
iajs-2615	97	15	]	]	PUNCT
iajs-2615	97	16	e	e	X
iajs-2615	97	17	)	)	PUNCT
iajs-2615	97	18	:	:	PUNCT
iajs-2615	97	19	]	]	PUNCT
iajs-2615	97	20	.	.	PUNCT
iajs-2615	98	1	se	se	PROPN
iajs-2615	98	2	soc	soc	PROPN
iajs-2615	98	3	(	(	PUNCT
iajs-2615	98	4	e	e	NOUN
iajs-2615	98	5	)	)	PUNCT
iajs-2615	98	6	:	:	PUNCT
iajs-2615	99	1	+	+	CCONJ
iajs-2615	99	2	(	(	PUNCT
iajs-2615	99	3			NOUN
iajs-2615	99	4	)	)	PUNCT
iajs-2615	99	5	let	let	VERB
iajs-2615	99	6	0	0	NUM
iajs-2615	99	7	≠	≠	PROPN
iajs-2615	99	8	tse	tse	PROPN
iajs-2615	99	9			NOUN
iajs-2615	99	10	a	a	PRON
iajs-2615	99	11	for	for	ADP
iajs-2615	99	12	t	t	PROPN
iajs-2615	99	13	,	,	PUNCT
iajs-2615	99	14	s	s	PART
iajs-2615	99	15			PROPN
iajs-2615	99	16	r	r	NOUN
iajs-2615	99	17	,	,	PUNCT
iajs-2615	99	18	e	e	X
iajs-2615	99	19			PROPN
iajs-2615	99	20	e	e	NOUN
iajs-2615	99	21	with	with	ADP
iajs-2615	99	22	ts	ts	X
iajs-2615	99	23			PUNCT
iajs-2615	99	24	[	[	PUNCT
iajs-2615	99	25	a	a	DET
iajs-2615	99	26	+	+	X
iajs-2615	99	27	soc	soc	NOUN
iajs-2615	99	28	(	(	PUNCT
iajs-2615	99	29	e	e	NOUN
iajs-2615	99	30	)	)	PUNCT
iajs-2615	99	31	:	:	PUNCT
iajs-2615	99	32	r	r	NOUN
iajs-2615	99	33	e	e	NOUN
iajs-2615	99	34	]	]	PUNCT
iajs-2615	99	35	.	.	PUNCT
iajs-2615	100	1	it	it	PRON
iajs-2615	100	2	follows	follow	VERB
iajs-2615	100	3	by	by	ADP
iajs-2615	100	4	hypothesis	hypothesis	NOUN
iajs-2615	100	5	e	e	NOUN
iajs-2615	100	6			NOUN
iajs-2615	100	7	[	[	PUNCT
iajs-2615	100	8	a	a	X
iajs-2615	100	9	:	:	PUNCT
iajs-2615	100	10	e	e	NOUN
iajs-2615	100	11	ts	ts	X
iajs-2615	100	12	]	]	PUNCT
iajs-2615	100	13	and	and	CCONJ
iajs-2615	100	14	e	e	X
iajs-2615	100	15			PROPN
iajs-2615	100	16	[	[	PUNCT
iajs-2615	100	17	0	0	NUM
iajs-2615	100	18	:	:	PUNCT
iajs-2615	100	19	e	e	X
iajs-2615	100	20	ts	ts	X
iajs-2615	100	21	]	]	PUNCT
iajs-2615	100	22	,	,	PUNCT
iajs-2615	100	23	implies	imply	VERB
iajs-2615	100	24	that	that	SCONJ
iajs-2615	100	25	e	e	X
iajs-2615	100	26			NOUN
iajs-2615	100	27	[	[	X
iajs-2615	100	28	a	a	DET
iajs-2615	100	29	+	+	X
iajs-2615	100	30	soc	soc	NOUN
iajs-2615	100	31	(	(	PUNCT
iajs-2615	100	32	e	e	NOUN
iajs-2615	100	33	)	)	PUNCT
iajs-2615	100	34	:	:	PUNCT
iajs-2615	100	35	e	e	X
iajs-2615	100	36	t	t	PROPN
iajs-2615	100	37	]	]	PUNCT
iajs-2615	100	38			NOUN
iajs-2615	100	39	[	[	PUNCT
iajs-2615	100	40	a	a	DET
iajs-2615	100	41	+	+	X
iajs-2615	100	42	soc	soc	NOUN
iajs-2615	100	43	(	(	PUNCT
iajs-2615	100	44	e	e	NOUN
iajs-2615	100	45	)	)	PUNCT
iajs-2615	100	46	:	:	PUNCT
iajs-2615	101	1	e	e	X
iajs-2615	101	2	s	s	X
iajs-2615	101	3	]	]	X
iajs-2615	101	4	.	.	PUNCT
iajs-2615	102	1	hence	hence	ADV
iajs-2615	102	2	either	either	CCONJ
iajs-2615	102	3	te	te	ADP
iajs-2615	102	4			NOUN
iajs-2615	102	5	a	a	DET
iajs-2615	102	6	+	+	X
iajs-2615	102	7	soc	soc	NOUN
iajs-2615	102	8	(	(	PUNCT
iajs-2615	102	9	e	e	NOUN
iajs-2615	102	10	)	)	PUNCT
iajs-2615	102	11	or	or	CCONJ
iajs-2615	102	12	se	se	ADP
iajs-2615	102	13			NOUN
iajs-2615	102	14	a	a	DET
iajs-2615	102	15	+	+	X
iajs-2615	102	16	soc	soc	NOUN
iajs-2615	102	17	(	(	PUNCT
iajs-2615	102	18	e	e	NOUN
iajs-2615	102	19	)	)	PUNCT
iajs-2615	102	20	.	.	PUNCT
iajs-2615	103	1	therefore	therefore	ADV
iajs-2615	103	2	a	a	PRON
iajs-2615	103	3	is	be	AUX
iajs-2615	103	4	awp	awp	NOUN
iajs-2615	103	5	–	–	PUNCT
iajs-2615	103	6	2	2	NUM
iajs-2615	103	7	–	–	PUNCT
iajs-2615	103	8	absorbing	absorb	VERB
iajs-2615	103	9	submodule	submodule	NOUN
iajs-2615	103	10	of	of	ADP
iajs-2615	103	11	e	e	PROPN
iajs-2615	103	12	.	.	PUNCT
iajs-2615	104	1	90	90	NUM
iajs-2615	104	2	ibn	ibn	PROPN
iajs-2615	104	3	al	al	PROPN
iajs-2615	104	4	-	-	PUNCT
iajs-2615	104	5	haitham	haitham	PROPN
iajs-2615	104	6	jour	jour	X
iajs-2615	104	7	.	.	PROPN
iajs-2615	104	8	for	for	ADP
iajs-2615	104	9	pure	pure	ADJ
iajs-2615	104	10	&	&	CCONJ
iajs-2615	104	11	appl	appl	PROPN
iajs-2615	104	12	.	.	PUNCT
iajs-2615	105	1	sci	sci	PROPN
iajs-2615	105	2	.	.	PROPN
iajs-2615	106	1	34	34	NUM
iajs-2615	106	2	(	(	PUNCT
iajs-2615	106	3	2	2	NUM
iajs-2615	106	4	)	)	PUNCT
iajs-2615	106	5	2021	2021	NUM
iajs-2615	106	6	proposition	proposition	NOUN
iajs-2615	106	7	4	4	NUM
iajs-2615	106	8	.	.	PUNCT
iajs-2615	107	1	a	a	DET
iajs-2615	107	2	proper	proper	ADJ
iajs-2615	107	3	submodule	submodule	NOUN
iajs-2615	107	4	a	a	PRON
iajs-2615	107	5	of	of	ADP
iajs-2615	107	6	an	an	DET
iajs-2615	107	7	r	r	NOUN
iajs-2615	107	8	–	–	PUNCT
iajs-2615	107	9	module	module	NOUN
iajs-2615	107	10	e	e	NOUN
iajs-2615	107	11	is	be	AUX
iajs-2615	107	12	a	a	DET
iajs-2615	107	13	wp	wp	NOUN
iajs-2615	107	14	–	–	PUNCT
iajs-2615	107	15	2	2	NUM
iajs-2615	107	16	–	–	PUNCT
iajs-2615	107	17	absorbing	absorb	VERB
iajs-2615	107	18	if	if	SCONJ
iajs-2615	107	19	0	0	NUM
iajs-2615	107	20	≠	≠	PROPN
iajs-2615	107	21	tsk	tsk	NOUN
iajs-2615	107	22			VERB
iajs-2615	107	23	a	a	PRON
iajs-2615	107	24	for	for	ADP
iajs-2615	107	25	t	t	NOUN
iajs-2615	107	26	,	,	PUNCT
iajs-2615	107	27	s	s	PART
iajs-2615	107	28			PROPN
iajs-2615	107	29	r	r	NOUN
iajs-2615	107	30	and	and	CCONJ
iajs-2615	107	31	k	k	PROPN
iajs-2615	107	32	is	be	AUX
iajs-2615	107	33	a	a	DET
iajs-2615	107	34	submodule	submodule	NOUN
iajs-2615	107	35	of	of	ADP
iajs-2615	107	36	e	e	PROPN
iajs-2615	107	37	,	,	PUNCT
iajs-2615	107	38	implies	imply	VERB
iajs-2615	107	39	that	that	SCONJ
iajs-2615	107	40	either	either	DET
iajs-2615	107	41	tk	tk	PROPN
iajs-2615	107	42			PROPN
iajs-2615	107	43	a	a	DET
iajs-2615	107	44	+	+	X
iajs-2615	107	45	soc	soc	NOUN
iajs-2615	107	46	(	(	PUNCT
iajs-2615	107	47	e	e	NOUN
iajs-2615	107	48	)	)	PUNCT
iajs-2615	107	49	or	or	CCONJ
iajs-2615	107	50	sk	sk	INTJ
iajs-2615	107	51			PROPN
iajs-2615	107	52	a	a	DET
iajs-2615	107	53	+	+	X
iajs-2615	107	54	soc	soc	NOUN
iajs-2615	107	55	(	(	PUNCT
iajs-2615	107	56	e	e	NOUN
iajs-2615	107	57	)	)	PUNCT
iajs-2615	107	58	or	or	CCONJ
iajs-2615	107	59	ts	ts	ADP
iajs-2615	107	60			NOUN
iajs-2615	107	61	[	[	PUNCT
iajs-2615	107	62	a	a	DET
iajs-2615	107	63	+	+	X
iajs-2615	107	64	soc	soc	NOUN
iajs-2615	107	65	(	(	PUNCT
iajs-2615	107	66	e	e	NOUN
iajs-2615	107	67	)	)	PUNCT
iajs-2615	107	68	:	:	PUNCT
iajs-2615	107	69	r	r	NOUN
iajs-2615	107	70	e	e	NOUN
iajs-2615	107	71	]	]	PUNCT
iajs-2615	107	72	.	.	PUNCT
iajs-2615	108	1	proof	proof	NOUN
iajs-2615	108	2	:	:	PUNCT
iajs-2615	108	3	(	(	PUNCT
iajs-2615	108	4			NOUN
iajs-2615	108	5	)	)	PUNCT
iajs-2615	108	6	r	r	NOUN
iajs-2615	108	7	[	[	PUNCT
iajs-2615	108	8	a	a	DET
iajs-2615	108	9	+	+	X
iajs-2615	108	10	soc	soc	NOUN
iajs-2615	108	11	(	(	PUNCT
iajs-2615	108	12	e	e	NOUN
iajs-2615	108	13	)	)	PUNCT
iajs-2615	108	14	:	:	PUNCT
iajs-2615	109	1	r	r	X
iajs-2615	109	2	,	,	PUNCT
iajs-2615	109	3	k	k	PROPN
iajs-2615	109	4	is	be	AUX
iajs-2615	109	5	a	a	DET
iajs-2615	109	6	submodule	submodule	NOUN
iajs-2615	109	7	of	of	ADP
iajs-2615	109	8	e	e	PROPN
iajs-2615	109	9	.	.	PUNCT
iajs-2615	110	1	suppose	suppose	VERB
iajs-2615	110	2	that	that	SCONJ
iajs-2615	110	3	ts	ts	ADP
iajs-2615	110	4	a	a	X
iajs-2615	110	5	,	,	PUNCT
iajs-2615	110	6	for	for	ADP
iajs-2615	110	7	t	t	NOUN
iajs-2615	110	8	,	,	PUNCT
iajs-2615	110	9	s	s	PART
iajs-2615	110	10	let	let	NOUN
iajs-2615	110	11	0	0	PUNCT
iajs-2615	110	12	≠	≠	PROPN
iajs-2615	110	13	tsk	tsk	NOUN
iajs-2615	110	14			VERB
iajs-2615	110	15	1k	1k	NUM
iajs-2615	110	16	such	such	ADJ
iajs-2615	110	17	that	that	SCONJ
iajs-2615	110	18	te	te	PROPN
iajs-2615	110	19	2	2	NUM
iajs-2615	110	20	,	,	PUNCT
iajs-2615	110	21	e1	e1	VERB
iajs-2615	110	22	a	a	DET
iajs-2615	110	23	+	+	NUM
iajs-2615	110	24	soc	soc	NOUN
iajs-2615	110	25	(	(	PUNCT
iajs-2615	110	26	e	e	NOUN
iajs-2615	110	27	)	)	PUNCT
iajs-2615	110	28	.then	.then	X
iajs-2615	110	29	,	,	PUNCT
iajs-2615	110	30	there	there	PRON
iajs-2615	110	31	exists	exist	VERB
iajs-2615	110	32	e	e	X
iajs-2615	110	33	a	a	NOUN
iajs-2615	110	34	+	+	NUM
iajs-2615	110	35	soc	soc	NOUN
iajs-2615	110	36	(	(	PUNCT
iajs-2615	110	37	e	e	NOUN
iajs-2615	110	38	)	)	PUNCT
iajs-2615	110	39	and	and	CCONJ
iajs-2615	110	40	sk	sk	VERB
iajs-2615	110	41	e	e	NUM
iajs-2615	110	42	]	]	PUNCT
iajs-2615	110	43	,	,	PUNCT
iajs-2615	110	44	tk	tk	PROPN
iajs-2615	110	45	e	e	PROPN
iajs-2615	110	46	]	]	PUNCT
iajs-2615	110	47	,	,	PUNCT
iajs-2615	110	48	then	then	ADV
iajs-2615	110	49	r	r	X
iajs-2615	110	50	[	[	PUNCT
iajs-2615	110	51	a	a	DET
iajs-2615	110	52	+	+	X
iajs-2615	110	53	soc	soc	NOUN
iajs-2615	110	54	(	(	PUNCT
iajs-2615	110	55	e	e	NOUN
iajs-2615	110	56	)	)	PUNCT
iajs-2615	110	57	:	:	PUNCT
iajs-2615	111	1	a	a	PROPN
iajs-2615	111	2	and	and	CCONJ
iajs-2615	111	3	ts	ts	ADP
iajs-2615	111	4	1	1	PRON
iajs-2615	111	5	a	a	DET
iajs-2615	111	6	+	+	X
iajs-2615	111	7	soc	soc	NOUN
iajs-2615	111	8	(	(	PUNCT
iajs-2615	111	9	e	e	NOUN
iajs-2615	111	10	)	)	PUNCT
iajs-2615	111	11	.	.	PUNCT
iajs-2615	112	1	now	now	ADV
iajs-2615	112	2	0	0	NUM
iajs-2615	113	1	≠	≠	PROPN
iajs-2615	113	2	tse	tse	NOUN
iajs-2615	113	3	2	2	NOUN
iajs-2615	113	4	a	a	DET
iajs-2615	113	5	+	+	NUM
iajs-2615	113	6	soc	soc	NOUN
iajs-2615	113	7	(	(	PUNCT
iajs-2615	113	8	e	e	NOUN
iajs-2615	113	9	)	)	PUNCT
iajs-2615	113	10	and	and	CCONJ
iajs-2615	113	11	se	se	X
iajs-2615	113	12	[	[	PUNCT
iajs-2615	113	13	a	a	DET
iajs-2615	113	14	+	+	X
iajs-2615	113	15	soc	soc	NOUN
iajs-2615	113	16	(	(	PUNCT
iajs-2615	113	17	e	e	X
iajs-2615	113	18	t	t	X
iajs-2615	113	19	]	]	PUNCT
iajs-2615	113	20	e	e	X
iajs-2615	113	21	[	[	PUNCT
iajs-2615	113	22	a	a	DET
iajs-2615	113	23	+	+	X
iajs-2615	113	24	soc	soc	NOUN
iajs-2615	113	25	(	(	PUNCT
iajs-2615	113	26	e	e	NOUN
iajs-2615	113	27	)	)	PUNCT
iajs-2615	113	28	:	:	PUNCT
iajs-2615	113	29	ts	ts	NOUN
iajs-2615	113	30	]	]	PUNCT
iajs-2615	113	31	e	e	X
iajs-2615	113	32	[	[	PUNCT
iajs-2615	113	33	0	0	NUM
iajs-2615	113	34	:	:	PUNCT
iajs-2615	113	35	st	st	NUM
iajs-2615	113	36	]	]	PUNCT
iajs-2615	113	37	e	e	X
iajs-2615	113	38	[	[	PUNCT
iajs-2615	113	39	a	a	X
iajs-2615	113	40	:	:	PUNCT
iajs-2615	113	41	1	1	VERB
iajs-2615	113	42	by	by	ADP
iajs-2615	113	43	proposition	proposition	NOUN
iajs-2615	113	44	(	(	PUNCT
iajs-2615	113	45	3	3	X
iajs-2615	113	46	)	)	PUNCT
iajs-2615	113	47	we	we	PRON
iajs-2615	113	48	have	have	VERB
iajs-2615	113	49	e	e	NOUN
iajs-2615	113	50	e	e	X
iajs-2615	113	51	[	[	PUNCT
iajs-2615	113	52	a	a	DET
iajs-2615	113	53	+	+	X
iajs-2615	113	54	soc	soc	NOUN
iajs-2615	113	55	(	(	PUNCT
iajs-2615	113	56	e	e	NOUN
iajs-2615	113	57	)	)	PUNCT
iajs-2615	113	58	:	:	PUNCT
iajs-2615	114	1	1	1	PUNCT
iajs-2615	114	2	t	t	X
iajs-2615	114	3	]	]	PUNCT
iajs-2615	114	4	.it	.it	PUNCT
iajs-2615	114	5	follows	follow	VERB
iajs-2615	114	6	that	that	SCONJ
iajs-2615	114	7	e	e	PROPN
iajs-2615	114	8	e	e	NOUN
iajs-2615	114	9	[	[	PUNCT
iajs-2615	114	10	a	a	DET
iajs-2615	114	11	+	+	X
iajs-2615	114	12	soc	soc	NOUN
iajs-2615	114	13	(	(	PUNCT
iajs-2615	114	14	e	e	NOUN
iajs-2615	114	15	)	)	PUNCT
iajs-2615	114	16	:	:	PUNCT
iajs-2615	114	17	1ts	1ts	NUM
iajs-2615	114	18	]	]	PUNCT
iajs-2615	114	19	and	and	CCONJ
iajs-2615	114	20	e	e	X
iajs-2615	114	21	e	e	X
iajs-2615	114	22	[	[	PUNCT
iajs-2615	114	23	0	0	NUM
iajs-2615	114	24	:	:	PUNCT
iajs-2615	114	25	1s	1s	PROPN
iajs-2615	114	26	]	]	PUNCT
iajs-2615	114	27	.	.	PUNCT
iajs-2615	115	1	but	but	CCONJ
iajs-2615	115	2	e	e	NOUN
iajs-2615	115	3	e	e	NOUN
iajs-2615	115	4	)	)	PUNCT
iajs-2615	115	5	:	:	PUNCT
iajs-2615	115	6	[	[	PUNCT
iajs-2615	115	7	a	a	DET
iajs-2615	115	8	+	+	NUM
iajs-2615	115	9	soc	soc	NOUN
iajs-2615	115	10			NOUN
iajs-2615	115	11	2e	2e	NOUN
iajs-2615	115	12	]	]	PUNCT
iajs-2615	115	13	and	and	CCONJ
iajs-2615	115	14	e	e	X
iajs-2615	115	15	r	r	NOUN
iajs-2615	115	16	[	[	PUNCT
iajs-2615	115	17	a	a	DET
iajs-2615	115	18	+	+	X
iajs-2615	115	19	soc	soc	NOUN
iajs-2615	115	20	(	(	PUNCT
iajs-2615	115	21	e	e	NOUN
iajs-2615	115	22	)	)	PUNCT
iajs-2615	115	23	:	:	PUNCT
iajs-2615	115	24	and	and	NOUN
iajs-2615	115	25	ts	ts	ADP
iajs-2615	115	26	2a	2a	NUM
iajs-2615	115	27	+	+	CCONJ
iajs-2615	115	28	soc	soc	NOUN
iajs-2615	115	29	(	(	PUNCT
iajs-2615	115	30	e	e	NOUN
iajs-2615	115	31	)	)	PUNCT
iajs-2615	115	32	.	.	PUNCT
iajs-2615	116	1	again	again	ADV
iajs-2615	116	2	0	0	NUM
iajs-2615	116	3	≠	≠	PROPN
iajs-2615	116	4	tse	tse	X
iajs-2615	116	5	1se	1se	X
iajs-2615	116	6	,	,	PUNCT
iajs-2615	116	7	s	s	X
iajs-2615	116	8	]	]	PUNCT
iajs-2615	116	9	,	,	PUNCT
iajs-2615	116	10	that	that	ADV
iajs-2615	116	11	is	is	ADV
iajs-2615	116	12	[	[	PUNCT
iajs-2615	116	13	a	a	DET
iajs-2615	116	14	+	+	X
iajs-2615	116	15	soc	soc	NOUN
iajs-2615	116	16	(	(	PUNCT
iajs-2615	116	17	e	e	X
iajs-2615	116	18	a	a	PROPN
iajs-2615	116	19	and	and	CCONJ
iajs-2615	116	20	ts	ts	ADP
iajs-2615	116	21			NOUN
iajs-2615	116	22	)	)	PUNCT
iajs-2615	116	23	2	2	NUM
iajs-2615	117	1	+	+	PUNCT
iajs-2615	117	2	e1	e1	VERB
iajs-2615	117	3	a	a	DET
iajs-2615	117	4	+	+	NOUN
iajs-2615	117	5	soc	soc	NOUN
iajs-2615	117	6	(	(	PUNCT
iajs-2615	117	7	e	e	NOUN
iajs-2615	117	8	)	)	PUNCT
iajs-2615	117	9	.	.	PUNCT
iajs-2615	118	1	now	now	ADV
iajs-2615	118	2	,	,	PUNCT
iajs-2615	118	3	0	0	NUM
iajs-2615	118	4	≠	≠	PROPN
iajs-2615	118	5	ts	ts	X
iajs-2615	118	6	(	(	PUNCT
iajs-2615	118	7	e	e	PROPN
iajs-2615	118	8			NOUN
iajs-2615	118	9	2s	2s	X
iajs-2615	118	10	]	]	PUNCT
iajs-2615	118	11	,	,	PUNCT
iajs-2615	118	12	it	it	PRON
iajs-2615	118	13	follow	follow	VERB
iajs-2615	118	14	tha	tha	NOUN
iajs-2615	118	15	tee	tee	NOUN
iajs-2615	118	16	(	(	PUNCT
iajs-2615	118	17	e	e	NOUN
iajs-2615	118	18	)	)	PUNCT
iajs-2615	118	19	:	:	PUNCT
iajs-2615	118	20	ts	ts	X
iajs-2615	118	21	]	]	PUNCT
iajs-2615	118	22	,	,	PUNCT
iajs-2615	118	23	it	it	PRON
iajs-2615	118	24	follows	follow	VERB
iajs-2615	118	25	by	by	ADP
iajs-2615	118	26	proposition	proposition	NOUN
iajs-2615	118	27	(	(	PUNCT
iajs-2615	118	28	3	3	NUM
iajs-2615	118	29	)	)	PUNCT
iajs-2615	118	30	e	e	NOUN
iajs-2615	118	31	[	[	PUNCT
iajs-2615	118	32	0	0	NUM
iajs-2615	118	33	:	:	PUNCT
iajs-2615	118	34			VERB
iajs-2615	118	35	)	)	PUNCT
iajs-2615	118	36	2	2	NUM
iajs-2615	119	1	+	+	CCONJ
iajs-2615	119	2	e	e	NOUN
iajs-2615	119	3	1ts	1ts	NOUN
iajs-2615	119	4	]	]	PUNCT
iajs-2615	119	5	and	and	CCONJ
iajs-2615	119	6	(	(	PUNCT
iajs-2615	119	7	e	e	NOUN
iajs-2615	119	8	e	e	X
iajs-2615	119	9	[	[	PUNCT
iajs-2615	119	10	a	a	DET
iajs-2615	119	11	:	:	PUNCT
iajs-2615	119	12			NOUN
iajs-2615	119	13	)	)	PUNCT
iajs-2615	119	14	2	2	NUM
iajs-2615	120	1	+	+	CCONJ
iajs-2615	120	2	e	e	X
iajs-2615	120	3	1e	1e	NOUN
iajs-2615	120	4	]	]	PUNCT
iajs-2615	120	5	,	,	PUNCT
iajs-2615	120	6	then	then	ADV
iajs-2615	120	7	(	(	PUNCT
iajs-2615	120	8	e	e	NOUN
iajs-2615	120	9	r	r	NOUN
iajs-2615	120	10	)	)	PUNCT
iajs-2615	120	11	:	:	PUNCT
iajs-2615	120	12	1s	1	NOUN
iajs-2615	120	13	]	]	PUNCT
iajs-2615	120	14	.	.	PUNCT
iajs-2615	121	1	that	that	PRON
iajs-2615	121	2	is	be	AUX
iajs-2615	121	3	either	either	CCONJ
iajs-2615	121	4	t(e	t(e	PROPN
iajs-2615	122	1	e	e	X
iajs-2615	122	2	[	[	PUNCT
iajs-2615	122	3	a	a	DET
iajs-2615	122	4	+	+	X
iajs-2615	122	5	soc	soc	NOUN
iajs-2615	122	6	(	(	PUNCT
iajs-2615	122	7	e	e	NOUN
iajs-2615	122	8	)	)	PUNCT
iajs-2615	122	9	:	:	PUNCT
iajs-2615	122	10			NOUN
iajs-2615	122	11	)	)	PUNCT
iajs-2615	122	12	2	2	NUM
iajs-2615	123	1	+	+	CCONJ
iajs-2615	123	2	e	e	NOUN
iajs-2615	123	3	1	1	NUM
iajs-2615	123	4	t	t	NOUN
iajs-2615	123	5	]	]	PUNCT
iajs-2615	123	6	or	or	CCONJ
iajs-2615	123	7	(	(	PUNCT
iajs-2615	123	8	e	e	X
iajs-2615	123	9	e	e	X
iajs-2615	123	10	[	[	PUNCT
iajs-2615	123	11	a	a	DET
iajs-2615	123	12	+	+	X
iajs-2615	123	13	soc	soc	NOUN
iajs-2615	123	14	(	(	PUNCT
iajs-2615	123	15	e	e	NOUN
iajs-2615	123	16	)	)	PUNCT
iajs-2615	123	17	:	:	PUNCT
iajs-2615	123	18			NOUN
iajs-2615	123	19	)	)	PUNCT
iajs-2615	123	20	2	2	NUM
iajs-2615	124	1	+	+	CCONJ
iajs-2615	124	2	e	e	X
iajs-2615	124	3	1either	1either	NUM
iajs-2615	124	4	(	(	PUNCT
iajs-2615	124	5	e	e	NOUN
iajs-2615	124	6	a	a	DET
iajs-2615	124	7	+	+	X
iajs-2615	124	8	soc	soc	NOUN
iajs-2615	124	9	(	(	PUNCT
iajs-2615	124	10	e	e	NOUN
iajs-2615	124	11	)	)	PUNCT
iajs-2615	124	12	,	,	PUNCT
iajs-2615	124	13			NOUN
iajs-2615	124	14	2	2	NUM
iajs-2615	124	15	+	+	CCONJ
iajs-2615	124	16	te	te	PROPN
iajs-2615	124	17	1	1	NUM
iajs-2615	124	18	)	)	PUNCT
iajs-2615	124	19	=	=	PUNCT
iajs-2615	124	20	te2	te2	NOUN
iajs-2615	124	21	+	+	CCONJ
iajs-2615	124	22	e	e	X
iajs-2615	124	23	1a	1a	X
iajs-2615	124	24	+	+	CCONJ
iajs-2615	124	25	soc	soc	NOUN
iajs-2615	124	26	(	(	PUNCT
iajs-2615	124	27	e	e	NOUN
iajs-2615	124	28	)	)	PUNCT
iajs-2615	124	29	.	.	PUNCT
iajs-2615	125	1	if	if	SCONJ
iajs-2615	125	2	t(e	t(e	PROPN
iajs-2615	125	3			NOUN
iajs-2615	125	4	)	)	PUNCT
iajs-2615	125	5	2	2	NUM
iajs-2615	126	1	+	+	CCONJ
iajs-2615	126	2	e	e	X
iajs-2615	126	3	1a	1a	X
iajs-2615	126	4	+	+	CCONJ
iajs-2615	126	5	soc	soc	NOUN
iajs-2615	126	6	(	(	PUNCT
iajs-2615	126	7	e	e	NOUN
iajs-2615	126	8	)	)	PUNCT
iajs-2615	126	9	or	or	CCONJ
iajs-2615	126	10	s(e	s(e	PROPN
iajs-2615	126	11			NOUN
iajs-2615	126	12	)	)	PUNCT
iajs-2615	126	13	2	2	NUM
iajs-2615	126	14	e+	e+	X
iajs-2615	126	15	.	.	PUNCT
iajs-2615	126	16	is	be	AUX
iajs-2615	126	17	a	a	DET
iajs-2615	126	18	contradiction	contradiction	NOUN
iajs-2615	126	19	a	a	DET
iajs-2615	126	20	+	+	X
iajs-2615	126	21	soc	soc	NOUN
iajs-2615	126	22	(	(	PUNCT
iajs-2615	126	23	e	e	NOUN
iajs-2615	126	24	)	)	PUNCT
iajs-2615	126	25	which	which	DET
iajs-2615	126	26			NOUN
iajs-2615	126	27	1a	1a	X
iajs-2615	126	28	+	+	CCONJ
iajs-2615	126	29	soc	soc	NOUN
iajs-2615	126	30	(	(	PUNCT
iajs-2615	126	31	e	e	NOUN
iajs-2615	126	32	)	)	PUNCT
iajs-2615	126	33	,	,	PUNCT
iajs-2615	126	34	then	then	ADV
iajs-2615	126	35	te	te	ADP
iajs-2615	126	36			PROPN
iajs-2615	126	37	2	2	NUM
iajs-2615	126	38	and	and	CCONJ
iajs-2615	126	39	te	te	ADP
iajs-2615	126	40	a	a	DET
iajs-2615	126	41	+	+	X
iajs-2615	126	42	soc	soc	NOUN
iajs-2615	126	43	(	(	PUNCT
iajs-2615	126	44	e	e	NOUN
iajs-2615	126	45	)	)	PUNCT
iajs-2615	126	46			NOUN
iajs-2615	126	47	2a	2a	NUM
iajs-2615	126	48	+	+	CCONJ
iajs-2615	126	49	soc	soc	NOUN
iajs-2615	126	50	(	(	PUNCT
iajs-2615	126	51	e	e	NOUN
iajs-2615	126	52	)	)	PUNCT
iajs-2615	126	53	,	,	PUNCT
iajs-2615	126	54	then	then	ADV
iajs-2615	126	55	se	se	X
iajs-2615	126	56	1a	1a	X
iajs-2615	126	57	+	+	PUNCT
iajs-2615	126	58	soc	soc	NOUN
iajs-2615	126	59	(	(	PUNCT
iajs-2615	126	60	e	e	NOUN
iajs-2615	126	61	)	)	PUNCT
iajs-2615	126	62	and	and	CCONJ
iajs-2615	126	63	se	se	X
iajs-2615	126	64			NOUN
iajs-2615	126	65	2	2	NUM
iajs-2615	126	66	+	+	NUM
iajs-2615	126	67	se1	se1	NOUN
iajs-2615	126	68	)	)	PUNCT
iajs-2615	127	1	=	=	PUNCT
iajs-2615	127	2	se2	se2	PROPN
iajs-2615	128	1	+	+	CCONJ
iajs-2615	128	2	e	e	PROPN
iajs-2615	128	3	1if	1if	NOUN
iajs-2615	128	4	s	s	PART
iajs-2615	128	5	(	(	PUNCT
iajs-2615	128	6	e	e	X
iajs-2615	128	7	which	which	PRON
iajs-2615	128	8	is	be	AUX
iajs-2615	128	9	a	a	DET
iajs-2615	128	10	contradiction	contradiction	NOUN
iajs-2615	128	11	.	.	PUNCT
iajs-2615	129	1	hence	hence	ADV
iajs-2615	129	2	either	either	CCONJ
iajs-2615	129	3	tk	tk	PROPN
iajs-2615	129	4			PROPN
iajs-2615	129	5	a	a	DET
iajs-2615	129	6	+	+	X
iajs-2615	129	7	soc	soc	NOUN
iajs-2615	129	8	(	(	PUNCT
iajs-2615	129	9	e	e	NOUN
iajs-2615	129	10	)	)	PUNCT
iajs-2615	129	11	or	or	CCONJ
iajs-2615	129	12	sk	sk	INTJ
iajs-2615	129	13			PROPN
iajs-2615	129	14	a	a	DET
iajs-2615	129	15	+	+	X
iajs-2615	129	16	soc	soc	NOUN
iajs-2615	129	17	(	(	PUNCT
iajs-2615	129	18	e	e	NOUN
iajs-2615	129	19	)	)	PUNCT
iajs-2615	129	20	or	or	CCONJ
iajs-2615	129	21	ts	ts	ADP
iajs-2615	129	22			NOUN
iajs-2615	129	23	[	[	PUNCT
iajs-2615	129	24	a	a	DET
iajs-2615	129	25	+	+	X
iajs-2615	129	26	soc	soc	NOUN
iajs-2615	129	27	(	(	PUNCT
iajs-2615	129	28	e	e	NOUN
iajs-2615	129	29	)	)	PUNCT
iajs-2615	129	30	:	:	PUNCT
iajs-2615	129	31	r	r	NOUN
iajs-2615	129	32	e	e	NOUN
iajs-2615	129	33	]	]	PUNCT
iajs-2615	129	34	.	.	PUNCT
iajs-2615	130	1	(	(	PUNCT
iajs-2615	130	2			PROPN
iajs-2615	130	3	)	)	PUNCT
iajs-2615	130	4	trivial	trivial	ADJ
iajs-2615	130	5	,	,	PUNCT
iajs-2615	130	6	so	so	CCONJ
iajs-2615	130	7	we	we	PRON
iajs-2615	130	8	omitted	omit	VERB
iajs-2615	130	9	it	it	PRON
iajs-2615	130	10	.	.	PUNCT
iajs-2615	131	1	proposition	proposition	NOUN
iajs-2615	131	2	5	5	NUM
iajs-2615	131	3	.	.	PUNCT
iajs-2615	132	1	a	a	DET
iajs-2615	132	2	proper	proper	ADJ
iajs-2615	132	3	submodule	submodule	NOUN
iajs-2615	132	4	a	a	PRON
iajs-2615	132	5	of	of	ADP
iajs-2615	132	6	a	a	DET
iajs-2615	132	7	cyclic	cyclic	ADJ
iajs-2615	132	8	r	r	NOUN
iajs-2615	132	9	–	–	PUNCT
iajs-2615	132	10	module	module	NOUN
iajs-2615	132	11	e	e	NOUN
iajs-2615	132	12	is	be	AUX
iajs-2615	132	13	a	a	DET
iajs-2615	132	14	wp	wp	NOUN
iajs-2615	132	15	–	–	PUNCT
iajs-2615	132	16	2	2	NUM
iajs-2615	132	17	–	–	PUNCT
iajs-2615	132	18	absorbing	absorb	VERB
iajs-2615	132	19	if	if	SCONJ
iajs-2615	132	20	and	and	CCONJ
iajs-2615	132	21	only	only	ADV
iajs-2615	132	22	if	if	SCONJ
iajs-2615	132	23	for	for	ADP
iajs-2615	132	24	each	each	DET
iajs-2615	132	25	t	t	NOUN
iajs-2615	132	26	,	,	PUNCT
iajs-2615	132	27	s	s	PART
iajs-2615	132	28			PROPN
iajs-2615	132	29	r	r	NOUN
iajs-2615	132	30	with	with	ADP
iajs-2615	132	31	ts	ts	X
iajs-2615	132	32			VERB
iajs-2615	132	33	[	[	PUNCT
iajs-2615	132	34	a	a	DET
iajs-2615	132	35	+	+	X
iajs-2615	132	36	soc	soc	NOUN
iajs-2615	132	37	(	(	PUNCT
iajs-2615	132	38	e	e	NOUN
iajs-2615	132	39	)	)	PUNCT
iajs-2615	132	40	:	:	PUNCT
iajs-2615	132	41	r	r	NOUN
iajs-2615	132	42	e	e	NOUN
iajs-2615	132	43	]	]	X
iajs-2615	132	44	we	we	PRON
iajs-2615	132	45	have	have	VERB
iajs-2615	132	46	[	[	PUNCT
iajs-2615	132	47	a	a	X
iajs-2615	132	48	:	:	PUNCT
iajs-2615	132	49	r	r	NOUN
iajs-2615	132	50	tse	tse	PROPN
iajs-2615	132	51	]	]	PUNCT
iajs-2615	132	52			PROPN
iajs-2615	132	53	[	[	PUNCT
iajs-2615	132	54	0	0	NUM
iajs-2615	132	55	:	:	PUNCT
iajs-2615	132	56	r	r	NOUN
iajs-2615	132	57	tse	tse	X
iajs-2615	132	58	]	]	PUNCT
iajs-2615	133	1			NOUN
iajs-2615	133	2	[	[	PUNCT
iajs-2615	133	3	a	a	DET
iajs-2615	133	4	+	+	X
iajs-2615	133	5	soc	soc	NOUN
iajs-2615	133	6	(	(	PUNCT
iajs-2615	133	7	e	e	NOUN
iajs-2615	133	8	)	)	PUNCT
iajs-2615	133	9	:	:	PUNCT
iajs-2615	133	10	r	r	NOUN
iajs-2615	133	11	te	te	X
iajs-2615	133	12	]	]	PUNCT
iajs-2615	133	13			NOUN
iajs-2615	133	14	[	[	PUNCT
iajs-2615	133	15	a	a	DET
iajs-2615	133	16	+	+	X
iajs-2615	133	17	soc	soc	NOUN
iajs-2615	133	18	(	(	PUNCT
iajs-2615	133	19	e	e	NOUN
iajs-2615	133	20	)	)	PUNCT
iajs-2615	133	21	:	:	PUNCT
iajs-2615	133	22	r	r	NOUN
iajs-2615	133	23	se	se	X
iajs-2615	133	24	]	]	PUNCT
iajs-2615	133	25	.	.	PUNCT
iajs-2615	134	1	proof	proof	NOUN
iajs-2615	134	2	:	:	PUNCT
iajs-2615	134	3	(	(	PUNCT
iajs-2615	134	4			NOUN
iajs-2615	134	5	)	)	PUNCT
iajs-2615	134	6	let	let	VERB
iajs-2615	134	7	t	t	PROPN
iajs-2615	134	8	,	,	PUNCT
iajs-2615	134	9	s	s	PART
iajs-2615	134	10			PROPN
iajs-2615	134	11	r	r	NOUN
iajs-2615	134	12	,	,	PUNCT
iajs-2615	134	13	with	with	ADP
iajs-2615	134	14	ts	ts	ADP
iajs-2615	134	15			PUNCT
iajs-2615	134	16	[	[	PUNCT
iajs-2615	134	17	a	a	DET
iajs-2615	134	18	+	+	X
iajs-2615	134	19	soc	soc	NOUN
iajs-2615	134	20	(	(	PUNCT
iajs-2615	134	21	e	e	NOUN
iajs-2615	134	22	)	)	PUNCT
iajs-2615	134	23	:	:	PUNCT
iajs-2615	134	24	r	r	NOUN
iajs-2615	134	25	e	e	NOUN
iajs-2615	134	26	]	]	PUNCT
iajs-2615	134	27	and	and	CCONJ
iajs-2615	134	28	let	let	VERB
iajs-2615	134	29	r	r	PRON
iajs-2615	134	30			NOUN
iajs-2615	134	31	[	[	PUNCT
iajs-2615	134	32	a	a	PRON
iajs-2615	134	33	:	:	PUNCT
iajs-2615	134	34	r	r	NOUN
iajs-2615	134	35	tse	tse	PROPN
iajs-2615	134	36	]	]	PUNCT
iajs-2615	134	37	,	,	PUNCT
iajs-2615	134	38	it	it	PRON
iajs-2615	134	39	follows	follow	VERB
iajs-2615	134	40	that	that	SCONJ
iajs-2615	134	41	ts	ts	NOUN
iajs-2615	134	42	(	(	PUNCT
iajs-2615	134	43	re	re	NOUN
iajs-2615	134	44	)	)	PUNCT
iajs-2615	134	45			NOUN
iajs-2615	134	46	a.	a.	NOUN
iajs-2615	135	1	if	if	SCONJ
iajs-2615	135	2	0	0	NUM
iajs-2615	135	3	≠	≠	PROPN
iajs-2615	135	4	ts	ts	X
iajs-2615	135	5	(	(	PUNCT
iajs-2615	135	6	re	re	NOUN
iajs-2615	135	7	)	)	PUNCT
iajs-2615	135	8			NOUN
iajs-2615	135	9	a	a	PRON
iajs-2615	135	10	and	and	CCONJ
iajs-2615	135	11	a	a	PRON
iajs-2615	135	12	is	be	AUX
iajs-2615	135	13	a	a	DET
iajs-2615	135	14	wp	wp	NOUN
iajs-2615	135	15	–	–	PUNCT
iajs-2615	135	16	2	2	NUM
iajs-2615	135	17	–	–	PUNCT
iajs-2615	135	18	absorbing	absorbing	ADJ
iajs-2615	135	19	and	and	CCONJ
iajs-2615	135	20	ts	ts	X
iajs-2615	135	21			PROPN
iajs-2615	135	22	[	[	PUNCT
iajs-2615	135	23	a	a	DET
iajs-2615	135	24	+	+	X
iajs-2615	135	25	soc	soc	NOUN
iajs-2615	135	26	(	(	PUNCT
iajs-2615	135	27	e	e	NOUN
iajs-2615	135	28	)	)	PUNCT
iajs-2615	135	29	:	:	PUNCT
iajs-2615	135	30	r	r	NOUN
iajs-2615	135	31	e	e	NOUN
iajs-2615	135	32	]	]	X
iajs-2615	135	33	,	,	PUNCT
iajs-2615	135	34	then	then	ADV
iajs-2615	135	35	either	either	CCONJ
iajs-2615	135	36	tre	tre	PROPN
iajs-2615	135	37			PROPN
iajs-2615	135	38	a	a	DET
iajs-2615	135	39	+	+	X
iajs-2615	135	40	soc	soc	NOUN
iajs-2615	135	41	(	(	PUNCT
iajs-2615	135	42	e	e	NOUN
iajs-2615	135	43	)	)	PUNCT
iajs-2615	135	44	or	or	CCONJ
iajs-2615	135	45	sre	sre	VERB
iajs-2615	135	46			PROPN
iajs-2615	135	47	a	a	DET
iajs-2615	135	48	+	+	X
iajs-2615	135	49	soc	soc	NOUN
iajs-2615	135	50	(	(	PUNCT
iajs-2615	135	51	e	e	NOUN
iajs-2615	135	52	)	)	PUNCT
iajs-2615	135	53	,	,	PUNCT
iajs-2615	135	54	that	that	PRON
iajs-2615	135	55	is	be	AUX
iajs-2615	135	56	either	either	PRON
iajs-2615	135	57	r	r	NOUN
iajs-2615	135	58			NOUN
iajs-2615	135	59	[	[	PUNCT
iajs-2615	135	60	a	a	DET
iajs-2615	135	61	+	+	X
iajs-2615	135	62	soc	soc	NOUN
iajs-2615	135	63	(	(	PUNCT
iajs-2615	135	64	e	e	NOUN
iajs-2615	135	65	)	)	PUNCT
iajs-2615	136	1	:	:	PUNCT
iajs-2615	136	2	r	r	NOUN
iajs-2615	136	3	te	te	X
iajs-2615	136	4	]	]	PUNCT
iajs-2615	136	5	or	or	CCONJ
iajs-2615	136	6	r	r	NOUN
iajs-2615	136	7			NOUN
iajs-2615	136	8	[	[	PUNCT
iajs-2615	136	9	a	a	DET
iajs-2615	136	10	+	+	X
iajs-2615	136	11	soc	soc	NOUN
iajs-2615	136	12	(	(	PUNCT
iajs-2615	136	13	e	e	NOUN
iajs-2615	136	14	)	)	PUNCT
iajs-2615	136	15	:	:	PUNCT
iajs-2615	136	16	r	r	NOUN
iajs-2615	136	17	se	se	X
iajs-2615	136	18	]	]	PUNCT
iajs-2615	136	19	.	.	PUNCT
iajs-2615	137	1	if	if	SCONJ
iajs-2615	137	2	tsre	tsre	NOUN
iajs-2615	137	3	=	=	SYM
iajs-2615	137	4	0	0	NUM
iajs-2615	137	5	,	,	PUNCT
iajs-2615	137	6	implies	imply	VERB
iajs-2615	137	7	that	that	SCONJ
iajs-2615	137	8	r	r	NOUN
iajs-2615	137	9			NOUN
iajs-2615	137	10	[	[	PUNCT
iajs-2615	137	11	0	0	NUM
iajs-2615	137	12	:	:	PUNCT
iajs-2615	137	13	tse	tse	PROPN
iajs-2615	137	14	]	]	PUNCT
iajs-2615	137	15	.	.	PUNCT
iajs-2615	138	1	hence	hence	ADV
iajs-2615	138	2	r	r	VERB
iajs-2615	138	3			NOUN
iajs-2615	138	4	[	[	PUNCT
iajs-2615	138	5	0	0	NUM
iajs-2615	138	6	:	:	PUNCT
iajs-2615	138	7	r	r	NOUN
iajs-2615	138	8	tse	tse	X
iajs-2615	138	9	]	]	PUNCT
iajs-2615	138	10			NOUN
iajs-2615	138	11	[	[	PUNCT
iajs-2615	138	12	a	a	DET
iajs-2615	138	13	+	+	X
iajs-2615	138	14	soc	soc	NOUN
iajs-2615	138	15	(	(	PUNCT
iajs-2615	138	16	e	e	NOUN
iajs-2615	138	17	)	)	PUNCT
iajs-2615	138	18	:	:	PUNCT
iajs-2615	138	19	r	r	NOUN
iajs-2615	138	20	te	te	X
iajs-2615	138	21	]	]	PUNCT
iajs-2615	138	22			NOUN
iajs-2615	138	23	[	[	PUNCT
iajs-2615	138	24	a	a	DET
iajs-2615	138	25	+	+	X
iajs-2615	138	26	soc	soc	NOUN
iajs-2615	138	27	(	(	PUNCT
iajs-2615	138	28	e	e	NOUN
iajs-2615	138	29	)	)	PUNCT
iajs-2615	138	30	:	:	PUNCT
iajs-2615	138	31	r	r	NOUN
iajs-2615	138	32	se	se	X
iajs-2615	138	33	]	]	PUNCT
iajs-2615	138	34	.	.	PUNCT
iajs-2615	139	1	therefore	therefore	ADV
iajs-2615	139	2	[	[	PUNCT
iajs-2615	139	3	a	a	X
iajs-2615	139	4	:	:	PUNCT
iajs-2615	139	5	r	r	NOUN
iajs-2615	139	6	tse	tse	PROPN
iajs-2615	139	7	]	]	PUNCT
iajs-2615	139	8			PROPN
iajs-2615	139	9	[	[	PUNCT
iajs-2615	139	10	0	0	NUM
iajs-2615	139	11	:	:	PUNCT
iajs-2615	139	12	r	r	NOUN
iajs-2615	139	13	tse	tse	X
iajs-2615	139	14	]	]	PUNCT
iajs-2615	139	15			NOUN
iajs-2615	139	16	[	[	PUNCT
iajs-2615	139	17	a	a	DET
iajs-2615	139	18	+	+	X
iajs-2615	139	19	soc	soc	NOUN
iajs-2615	139	20	(	(	PUNCT
iajs-2615	139	21	e	e	NOUN
iajs-2615	139	22	)	)	PUNCT
iajs-2615	139	23	:	:	PUNCT
iajs-2615	139	24	r	r	NOUN
iajs-2615	139	25	te	te	X
iajs-2615	139	26	]	]	PUNCT
iajs-2615	139	27			NOUN
iajs-2615	139	28	[	[	PUNCT
iajs-2615	139	29	a	a	DET
iajs-2615	139	30	+	+	X
iajs-2615	139	31	soc	soc	NOUN
iajs-2615	139	32	(	(	PUNCT
iajs-2615	139	33	e	e	NOUN
iajs-2615	139	34	)	)	PUNCT
iajs-2615	139	35	:	:	PUNCT
iajs-2615	139	36	r	r	NOUN
iajs-2615	139	37	se	se	X
iajs-2615	139	38	]	]	PUNCT
iajs-2615	139	39	.	.	PUNCT
iajs-2615	140	1	(	(	PUNCT
iajs-2615	140	2			PROPN
iajs-2615	140	3	)	)	PUNCT
iajs-2615	140	4	since	since	SCONJ
iajs-2615	140	5	e	e	NOUN
iajs-2615	140	6	is	be	AUX
iajs-2615	140	7	cyclic	cyclic	ADJ
iajs-2615	140	8	,	,	PUNCT
iajs-2615	140	9	then	then	ADV
iajs-2615	140	10	e	e	PROPN
iajs-2615	140	11	=	=	SYM
iajs-2615	140	12			PROPN
iajs-2615	140	13	e1	e1	VERB
iajs-2615	140	14			NOUN
iajs-2615	140	15	for	for	ADP
iajs-2615	140	16	some	some	DET
iajs-2615	140	17	e1	e1	NOUN
iajs-2615	140	18			NOUN
iajs-2615	140	19	e	e	NOUN
iajs-2615	140	20	.	.	PUNCT
iajs-2615	141	1	let	let	VERB
iajs-2615	141	2	0	0	NUM
iajs-2615	141	3	≠	≠	PROPN
iajs-2615	141	4	tse	tse	PROPN
iajs-2615	141	5			NOUN
iajs-2615	141	6	a	a	PRON
iajs-2615	141	7	for	for	ADP
iajs-2615	141	8	t	t	PROPN
iajs-2615	141	9	,	,	PUNCT
iajs-2615	141	10	s	s	PART
iajs-2615	141	11			PROPN
iajs-2615	141	12	r	r	NOUN
iajs-2615	141	13	,	,	PUNCT
iajs-2615	141	14	e	e	X
iajs-2615	141	15			PROPN
iajs-2615	141	16	e	e	NOUN
iajs-2615	141	17	with	with	ADP
iajs-2615	141	18	ts	ts	X
iajs-2615	141	19			PUNCT
iajs-2615	141	20	[	[	PUNCT
iajs-2615	141	21	a	a	DET
iajs-2615	141	22	+	+	X
iajs-2615	141	23	soc	soc	NOUN
iajs-2615	141	24	(	(	PUNCT
iajs-2615	141	25	e	e	NOUN
iajs-2615	141	26	)	)	PUNCT
iajs-2615	141	27	:	:	PUNCT
iajs-2615	142	1	r	r	NOUN
iajs-2615	142	2	e	e	NOUN
iajs-2615	142	3	]	]	X
iajs-2615	142	4	.since	.since	PRON
iajs-2615	142	5	e	e	NOUN
iajs-2615	142	6			NOUN
iajs-2615	142	7	e	e	NOUN
iajs-2615	142	8	then	then	ADV
iajs-2615	142	9	e	e	PROPN
iajs-2615	142	10	=	=	SYM
iajs-2615	142	11	re1	re1	PROPN
iajs-2615	142	12	for	for	ADP
iajs-2615	142	13	some	some	DET
iajs-2615	142	14	r	r	NOUN
iajs-2615	142	15			NOUN
iajs-2615	142	16	r	r	NOUN
iajs-2615	142	17	,	,	PUNCT
iajs-2615	142	18	that	that	ADV
iajs-2615	142	19	is	is	ADV
iajs-2615	142	20	0	0	NUM
iajs-2615	142	21	≠	≠	PROPN
iajs-2615	142	22	ts	ts	X
iajs-2615	142	23	(	(	PUNCT
iajs-2615	142	24	re1	re1	PROPN
iajs-2615	142	25	)	)	PUNCT
iajs-2615	142	26			NOUN
iajs-2615	142	27	a	a	PRON
iajs-2615	142	28	,	,	PUNCT
iajs-2615	142	29	it	it	PRON
iajs-2615	142	30	follows	follow	VERB
iajs-2615	142	31	that	that	SCONJ
iajs-2615	142	32	r	r	NOUN
iajs-2615	142	33			NOUN
iajs-2615	142	34	[	[	PUNCT
iajs-2615	142	35	a	a	PRON
iajs-2615	142	36	:	:	PUNCT
iajs-2615	142	37	r	r	NOUN
iajs-2615	142	38	tse1	tse1	NOUN
iajs-2615	142	39	]	]	PUNCT
iajs-2615	142	40			PROPN
iajs-2615	142	41	[	[	PUNCT
iajs-2615	142	42	0	0	NUM
iajs-2615	142	43	:	:	PUNCT
iajs-2615	142	44	r	r	NOUN
iajs-2615	142	45	tse1	tse1	PROPN
iajs-2615	142	46	]	]	PUNCT
iajs-2615	142	47			NOUN
iajs-2615	142	48	[	[	PUNCT
iajs-2615	142	49	a	a	DET
iajs-2615	142	50	+	+	X
iajs-2615	142	51	soc	soc	NOUN
iajs-2615	142	52	(	(	PUNCT
iajs-2615	142	53	e	e	NOUN
iajs-2615	142	54	)	)	PUNCT
iajs-2615	142	55	:	:	PUNCT
iajs-2615	143	1	r	r	NOUN
iajs-2615	143	2	te1	te1	X
iajs-2615	143	3	]	]	PUNCT
iajs-2615	143	4			NOUN
iajs-2615	143	5	[	[	PUNCT
iajs-2615	143	6	a	a	DET
iajs-2615	143	7	+	+	X
iajs-2615	143	8	soc	soc	NOUN
iajs-2615	143	9	(	(	PUNCT
iajs-2615	143	10	e	e	NOUN
iajs-2615	143	11	)	)	PUNCT
iajs-2615	143	12	:	:	PUNCT
iajs-2615	143	13	r	r	X
iajs-2615	143	14	se1	se1	NOUN
iajs-2615	143	15	]	]	PUNCT
iajs-2615	143	16	.	.	PUNCT
iajs-2615	144	1	but	but	CCONJ
iajs-2615	144	2	r	r	NOUN
iajs-2615	144	3			PROPN
iajs-2615	144	4	[	[	PUNCT
iajs-2615	144	5	0	0	NUM
iajs-2615	144	6	:	:	PUNCT
iajs-2615	144	7	r	r	NOUN
iajs-2615	144	8	tse1	tse1	NOUN
iajs-2615	144	9	]	]	X
iajs-2615	144	10	(	(	PUNCT
iajs-2615	144	11	since	since	SCONJ
iajs-2615	144	12	0	0	NUM
iajs-2615	144	13	≠	≠	PROPN
iajs-2615	144	14	tsre1	tsre1	NOUN
iajs-2615	144	15	)	)	PUNCT
iajs-2615	144	16	,	,	PUNCT
iajs-2615	144	17	therefore	therefore	ADV
iajs-2615	144	18	,	,	PUNCT
iajs-2615	144	19	r	r	NOUN
iajs-2615	144	20			NOUN
iajs-2615	144	21	[	[	PUNCT
iajs-2615	144	22	a	a	DET
iajs-2615	144	23	+	+	X
iajs-2615	144	24	soc	soc	NOUN
iajs-2615	144	25	(	(	PUNCT
iajs-2615	144	26	e	e	NOUN
iajs-2615	144	27	)	)	PUNCT
iajs-2615	144	28	:	:	PUNCT
iajs-2615	144	29	r	r	NOUN
iajs-2615	144	30	te1	te1	NOUN
iajs-2615	144	31	]	]	PUNCT
iajs-2615	144	32	or	or	CCONJ
iajs-2615	144	33	r	r	NOUN
iajs-2615	144	34			NOUN
iajs-2615	144	35	[	[	PUNCT
iajs-2615	144	36	a	a	DET
iajs-2615	144	37	+	+	NUM
iajs-2615	144	38	91	91	NUM
iajs-2615	144	39	ibn	ibn	PROPN
iajs-2615	144	40	al	al	PROPN
iajs-2615	144	41	-	-	PUNCT
iajs-2615	144	42	haitham	haitham	PROPN
iajs-2615	144	43	jour	jour	X
iajs-2615	144	44	.	.	PROPN
iajs-2615	144	45	for	for	ADP
iajs-2615	144	46	pure	pure	ADJ
iajs-2615	144	47	&	&	CCONJ
iajs-2615	144	48	appl	appl	PROPN
iajs-2615	144	49	.	.	PUNCT
iajs-2615	145	1	sci	sci	PROPN
iajs-2615	145	2	.	.	PROPN
iajs-2615	146	1	34	34	NUM
iajs-2615	146	2	(	(	PUNCT
iajs-2615	146	3	2	2	NUM
iajs-2615	146	4	)	)	PUNCT
iajs-2615	146	5	2021	2021	NUM
iajs-2615	146	6	soc	soc	NOUN
iajs-2615	146	7	(	(	PUNCT
iajs-2615	146	8	e	e	NOUN
iajs-2615	146	9	)	)	PUNCT
iajs-2615	146	10	:	:	PUNCT
iajs-2615	146	11	r	r	X
iajs-2615	146	12	se1	se1	NOUN
iajs-2615	146	13	]	]	PUNCT
iajs-2615	146	14	,	,	PUNCT
iajs-2615	146	15	it	it	PRON
iajs-2615	146	16	follows	follow	VERB
iajs-2615	146	17	that	that	PRON
iajs-2615	146	18	tre1	tre1	PROPN
iajs-2615	146	19			PROPN
iajs-2615	146	20	a	a	DET
iajs-2615	146	21	+	+	X
iajs-2615	146	22	soc	soc	NOUN
iajs-2615	146	23	(	(	PUNCT
iajs-2615	146	24	e	e	NOUN
iajs-2615	146	25	)	)	PUNCT
iajs-2615	146	26	or	or	CCONJ
iajs-2615	146	27	sre1	sre1	VERB
iajs-2615	146	28			NOUN
iajs-2615	146	29	a	a	DET
iajs-2615	146	30	+	+	X
iajs-2615	146	31	soc	soc	NOUN
iajs-2615	146	32	(	(	PUNCT
iajs-2615	146	33	e	e	NOUN
iajs-2615	146	34	)	)	PUNCT
iajs-2615	146	35	.	.	PUNCT
iajs-2615	147	1	that	that	PRON
iajs-2615	147	2	is	be	AUX
iajs-2615	147	3	te	te	ADP
iajs-2615	147	4			NOUN
iajs-2615	147	5	a	a	DET
iajs-2615	147	6	+	+	X
iajs-2615	147	7	soc	soc	NOUN
iajs-2615	147	8	(	(	PUNCT
iajs-2615	147	9	e	e	NOUN
iajs-2615	147	10	)	)	PUNCT
iajs-2615	147	11	or	or	CCONJ
iajs-2615	147	12	se	se	ADP
iajs-2615	147	13			NOUN
iajs-2615	147	14	a	a	DET
iajs-2615	147	15	+	+	X
iajs-2615	147	16	soc	soc	NOUN
iajs-2615	147	17	(	(	PUNCT
iajs-2615	147	18	e	e	NOUN
iajs-2615	147	19	)	)	PUNCT
iajs-2615	147	20	.	.	PUNCT
iajs-2615	148	1	therefore	therefore	ADV
iajs-2615	148	2	a	a	PRON
iajs-2615	148	3	is	be	AUX
iajs-2615	148	4	a	a	DET
iajs-2615	148	5	wp	wp	NOUN
iajs-2615	148	6	–	–	PUNCT
iajs-2615	148	7	2	2	NUM
iajs-2615	148	8	–	–	PUNCT
iajs-2615	148	9	absorbing	absorb	VERB
iajs-2615	148	10	submodule	submodule	NOUN
iajs-2615	148	11	of	of	ADP
iajs-2615	148	12	e	e	PROPN
iajs-2615	148	13	.	.	PUNCT
iajs-2615	149	1	proposition	proposition	NOUN
iajs-2615	149	2	6	6	NUM
iajs-2615	149	3	.	.	PUNCT
iajs-2615	150	1	a	a	DET
iajs-2615	150	2	proper	proper	ADJ
iajs-2615	150	3	submodule	submodule	NOUN
iajs-2615	150	4	n	n	PROPN
iajs-2615	150	5	of	of	ADP
iajs-2615	150	6	an	an	DET
iajs-2615	150	7	r	r	NOUN
iajs-2615	150	8	–	–	PUNCT
iajs-2615	150	9	module	module	NOUN
iajs-2615	150	10	e	e	NOUN
iajs-2615	150	11	is	be	AUX
iajs-2615	150	12	a	a	DET
iajs-2615	150	13	wp	wp	NOUN
iajs-2615	150	14	–	–	PUNCT
iajs-2615	150	15	2	2	NUM
iajs-2615	150	16	–	–	PUNCT
iajs-2615	150	17	absorbing	absorb	VERB
iajs-2615	150	18	submodule	submodule	NOUN
iajs-2615	150	19	of	of	ADP
iajs-2615	150	20	e	e	PROPN
iajs-2615	150	21	if	if	SCONJ
iajs-2615	150	22	and	and	CCONJ
iajs-2615	150	23	only	only	ADV
iajs-2615	150	24	if	if	SCONJ
iajs-2615	150	25	(	(	PUNCT
iajs-2615	150	26	0	0	X
iajs-2615	150	27	)	)	PUNCT
iajs-2615	150	28	≠	≠	PROPN
iajs-2615	150	29	ijl	ijl	NOUN
iajs-2615	150	30			NOUN
iajs-2615	150	31	n	n	CCONJ
iajs-2615	150	32	for	for	ADP
iajs-2615	150	33	some	some	DET
iajs-2615	150	34	ideals	ideal	NOUN
iajs-2615	150	35	i	i	PRON
iajs-2615	150	36	,	,	PUNCT
iajs-2615	150	37	j	j	PROPN
iajs-2615	150	38	of	of	ADP
iajs-2615	150	39	r	r	NOUN
iajs-2615	150	40	and	and	CCONJ
iajs-2615	150	41	some	some	DET
iajs-2615	150	42	submodule	submodule	NOUN
iajs-2615	150	43	l	l	NOUN
iajs-2615	150	44	of	of	ADP
iajs-2615	150	45	e	e	PROPN
iajs-2615	150	46	implies	imply	VERB
iajs-2615	150	47	that	that	SCONJ
iajs-2615	150	48	either	either	CCONJ
iajs-2615	150	49	il	il	PROPN
iajs-2615	150	50			PROPN
iajs-2615	150	51	n	n	PROPN
iajs-2615	150	52	+	+	CCONJ
iajs-2615	150	53	soc	soc	NOUN
iajs-2615	150	54	(	(	PUNCT
iajs-2615	150	55	e	e	NOUN
iajs-2615	150	56	)	)	PUNCT
iajs-2615	150	57	or	or	CCONJ
iajs-2615	150	58	jl	jl	NOUN
iajs-2615	150	59			PROPN
iajs-2615	150	60	n	n	PROPN
iajs-2615	150	61	+	+	CCONJ
iajs-2615	150	62	soc	soc	NOUN
iajs-2615	150	63	(	(	PUNCT
iajs-2615	150	64	e	e	NOUN
iajs-2615	150	65	)	)	PUNCT
iajs-2615	150	66	or	or	CCONJ
iajs-2615	150	67	ij	ij	INTJ
iajs-2615	150	68			PROPN
iajs-2615	150	69	[	[	PUNCT
iajs-2615	150	70	n	n	NOUN
iajs-2615	150	71	+	+	CCONJ
iajs-2615	150	72	soc	soc	NOUN
iajs-2615	150	73	(	(	PUNCT
iajs-2615	150	74	e	e	NOUN
iajs-2615	150	75	)	)	PUNCT
iajs-2615	150	76	:	:	PUNCT
iajs-2615	150	77	r	r	NOUN
iajs-2615	150	78	e	e	NOUN
iajs-2615	150	79	]	]	PUNCT
iajs-2615	150	80	.	.	PUNCT
iajs-2615	151	1	proof	proof	NOUN
iajs-2615	151	2	:	:	PUNCT
iajs-2615	151	3	(	(	PUNCT
iajs-2615	151	4			NOUN
iajs-2615	151	5	)	)	PUNCT
iajs-2615	151	6	let	let	VERB
iajs-2615	151	7	(	(	PUNCT
iajs-2615	151	8	0	0	NUM
iajs-2615	151	9	)	)	PUNCT
iajs-2615	151	10	≠	≠	PROPN
iajs-2615	151	11	ijl	ijl	NOUN
iajs-2615	151	12			NOUN
iajs-2615	151	13	n	n	CCONJ
iajs-2615	151	14	for	for	ADP
iajs-2615	151	15	some	some	DET
iajs-2615	151	16	ideals	ideal	NOUN
iajs-2615	152	1	i	i	PRON
iajs-2615	152	2	,	,	PUNCT
iajs-2615	152	3	j	j	PROPN
iajs-2615	152	4	of	of	ADP
iajs-2615	152	5	r	r	NOUN
iajs-2615	152	6	and	and	CCONJ
iajs-2615	152	7	some	some	DET
iajs-2615	152	8	submodule	submodule	NOUN
iajs-2615	152	9	l	l	NOUN
iajs-2615	152	10	of	of	ADP
iajs-2615	152	11	e	e	PROPN
iajs-2615	152	12	with	with	ADP
iajs-2615	152	13	ij	ij	NUM
iajs-2615	152	14			PROPN
iajs-2615	152	15	[	[	PUNCT
iajs-2615	152	16	n	n	CCONJ
iajs-2615	152	17	+	+	CCONJ
iajs-2615	152	18	soc	soc	NOUN
iajs-2615	152	19	(	(	PUNCT
iajs-2615	152	20	e	e	NOUN
iajs-2615	152	21	)	)	PUNCT
iajs-2615	152	22	:	:	PUNCT
iajs-2615	152	23	r	r	NOUN
iajs-2615	152	24	e	e	NOUN
iajs-2615	152	25	]	]	PUNCT
iajs-2615	152	26	.	.	PUNCT
iajs-2615	153	1	to	to	PART
iajs-2615	153	2	prove	prove	VERB
iajs-2615	153	3	that	that	SCONJ
iajs-2615	153	4	il	il	PROPN
iajs-2615	153	5			PROPN
iajs-2615	153	6	n	n	PROPN
iajs-2615	153	7	+	+	CCONJ
iajs-2615	153	8	soc	soc	NOUN
iajs-2615	153	9	(	(	PUNCT
iajs-2615	153	10	e	e	NOUN
iajs-2615	153	11	)	)	PUNCT
iajs-2615	153	12	or	or	CCONJ
iajs-2615	153	13	jl	jl	NOUN
iajs-2615	153	14			PROPN
iajs-2615	153	15	n	n	PROPN
iajs-2615	153	16	+	+	CCONJ
iajs-2615	153	17	soc	soc	NOUN
iajs-2615	153	18	(	(	PUNCT
iajs-2615	153	19	e	e	NOUN
iajs-2615	153	20	)	)	PUNCT
iajs-2615	153	21	.suppose	.suppose	PUNCT
iajs-2615	153	22	that	that	SCONJ
iajs-2615	153	23	il	il	PROPN
iajs-2615	153	24			PROPN
iajs-2615	153	25	n	n	PROPN
iajs-2615	153	26	+	+	NUM
iajs-2615	153	27	soc	soc	NOUN
iajs-2615	153	28	(	(	PUNCT
iajs-2615	153	29	e	e	NOUN
iajs-2615	153	30	)	)	PUNCT
iajs-2615	153	31	and	and	CCONJ
iajs-2615	153	32	jl	jl	PROPN
iajs-2615	153	33			PROPN
iajs-2615	153	34	n	n	PROPN
iajs-2615	153	35	+	+	NUM
iajs-2615	153	36	soc	soc	NOUN
iajs-2615	153	37	(	(	PUNCT
iajs-2615	153	38	e	e	NOUN
iajs-2615	153	39	)	)	PUNCT
iajs-2615	153	40	,	,	PUNCT
iajs-2615	153	41	that	that	ADV
iajs-2615	153	42	is	be	AUX
iajs-2615	153	43	there	there	PRON
iajs-2615	153	44	exist	exist	VERB
iajs-2615	153	45	a1	a1	NOUN
iajs-2615	153	46			NOUN
iajs-2615	153	47	i	i	PRON
iajs-2615	153	48	and	and	CCONJ
iajs-2615	153	49	a2	a2	PROPN
iajs-2615	153	50	j	j	PROPN
iajs-2615	153	51	such	such	ADJ
iajs-2615	153	52	that	that	SCONJ
iajs-2615	153	53	a1l	a1l	PROPN
iajs-2615	153	54			PROPN
iajs-2615	153	55	n	n	NOUN
iajs-2615	153	56	+	+	NUM
iajs-2615	153	57	soc	soc	NOUN
iajs-2615	153	58	(	(	PUNCT
iajs-2615	153	59	e	e	NOUN
iajs-2615	153	60	)	)	PUNCT
iajs-2615	153	61	and	and	CCONJ
iajs-2615	153	62	a2l	a2l	PROPN
iajs-2615	153	63			PROPN
iajs-2615	153	64	n	n	PRON
iajs-2615	153	65	+	+	NUM
iajs-2615	153	66	soc	soc	NOUN
iajs-2615	153	67	(	(	PUNCT
iajs-2615	153	68	e	e	NOUN
iajs-2615	153	69	)	)	PUNCT
iajs-2615	153	70	.now	.now	PUNCT
iajs-2615	154	1	,	,	PUNCT
iajs-2615	154	2	(	(	PUNCT
iajs-2615	154	3	0	0	X
iajs-2615	154	4	)	)	PUNCT
iajs-2615	154	5	≠	≠	PROPN
iajs-2615	154	6	a1a2l	a1a2l	PUNCT
iajs-2615	154	7			PROPN
iajs-2615	154	8	n	n	X
iajs-2615	154	9	,	,	PUNCT
iajs-2615	154	10	and	and	CCONJ
iajs-2615	154	11	n	n	PRON
iajs-2615	154	12	is	be	AUX
iajs-2615	154	13	awp	awp	NOUN
iajs-2615	154	14	–	–	PUNCT
iajs-2615	154	15	2	2	NUM
iajs-2615	154	16	–	–	PUNCT
iajs-2615	154	17	absorbing	absorb	VERB
iajs-2615	154	18	submodule	submodule	NOUN
iajs-2615	154	19	of	of	ADP
iajs-2615	154	20	e	e	PROPN
iajs-2615	154	21	,	,	PUNCT
iajs-2615	154	22	then	then	ADV
iajs-2615	154	23	by	by	ADP
iajs-2615	154	24	proposition	proposition	NOUN
iajs-2615	154	25	(	(	PUNCT
iajs-2615	154	26	4	4	X
iajs-2615	154	27	)	)	PUNCT
iajs-2615	154	28	either	either	CCONJ
iajs-2615	154	29	a1	a1	NOUN
iajs-2615	154	30	l	l	NOUN
iajs-2615	154	31			PROPN
iajs-2615	154	32	n	n	PROPN
iajs-2615	154	33	+	+	CCONJ
iajs-2615	154	34	soc	soc	NOUN
iajs-2615	154	35	(	(	PUNCT
iajs-2615	154	36	e	e	NOUN
iajs-2615	154	37	)	)	PUNCT
iajs-2615	154	38	or	or	CCONJ
iajs-2615	154	39	a2l	a2l	PROPN
iajs-2615	154	40			PROPN
iajs-2615	154	41	n	n	PROPN
iajs-2615	154	42	+	+	CCONJ
iajs-2615	154	43	soc	soc	NOUN
iajs-2615	154	44	(	(	PUNCT
iajs-2615	154	45	e	e	NOUN
iajs-2615	154	46	)	)	PUNCT
iajs-2615	154	47	or	or	CCONJ
iajs-2615	154	48	a1a2	a1a2	ADP
iajs-2615	154	49			NOUN
iajs-2615	154	50	[	[	PUNCT
iajs-2615	154	51	n	n	SYM
iajs-2615	154	52	+	+	CCONJ
iajs-2615	154	53	soc	soc	NOUN
iajs-2615	154	54	(	(	PUNCT
iajs-2615	154	55	e	e	NOUN
iajs-2615	154	56	)	)	PUNCT
iajs-2615	154	57	:	:	PUNCT
iajs-2615	154	58	r	r	NOUN
iajs-2615	154	59	e	e	NOUN
iajs-2615	154	60	]	]	X
iajs-2615	154	61	.	.	PUNCT
iajs-2615	155	1	since	since	SCONJ
iajs-2615	155	2	ij	ij	NUM
iajs-2615	155	3			PROPN
iajs-2615	155	4	[	[	PUNCT
iajs-2615	155	5	n	n	CCONJ
iajs-2615	155	6	+	+	CCONJ
iajs-2615	155	7	soc	soc	NOUN
iajs-2615	155	8	(	(	PUNCT
iajs-2615	155	9	e	e	NOUN
iajs-2615	155	10	)	)	PUNCT
iajs-2615	155	11	:	:	PUNCT
iajs-2615	155	12	r	r	NOUN
iajs-2615	155	13	e	e	NOUN
iajs-2615	155	14	]	]	PUNCT
iajs-2615	155	15	,	,	PUNCT
iajs-2615	155	16	there	there	PRON
iajs-2615	155	17	exists	exist	VERB
iajs-2615	155	18	b1	b1	NOUN
iajs-2615	155	19			PROPN
iajs-2615	155	20	i	i	PRON
iajs-2615	155	21	and	and	CCONJ
iajs-2615	155	22	b2	b2	VERB
iajs-2615	155	23			NOUN
iajs-2615	155	24	j	j	PROPN
iajs-2615	155	25	such	such	ADJ
iajs-2615	155	26	that	that	PRON
iajs-2615	155	27	b1b2	b1b2	PROPN
iajs-2615	155	28			VERB
iajs-2615	155	29	[	[	PUNCT
iajs-2615	155	30	n	n	CCONJ
iajs-2615	155	31	+	+	CCONJ
iajs-2615	155	32	soc	soc	NOUN
iajs-2615	155	33	(	(	PUNCT
iajs-2615	155	34	e	e	NOUN
iajs-2615	155	35	)	)	PUNCT
iajs-2615	155	36	:	:	PUNCT
iajs-2615	155	37	r	r	NOUN
iajs-2615	155	38	e	e	NOUN
iajs-2615	155	39	]	]	X
iajs-2615	155	40	.but	.but	PUNCT
iajs-2615	156	1	(	(	PUNCT
iajs-2615	156	2	0	0	X
iajs-2615	156	3	)	)	PUNCT
iajs-2615	156	4	≠	≠	PROPN
iajs-2615	156	5	b1b2l	b1b2l	PUNCT
iajs-2615	156	6			PROPN
iajs-2615	156	7	n	n	PROPN
iajs-2615	156	8	and	and	CCONJ
iajs-2615	156	9	n	n	PROPN
iajs-2615	156	10	is	be	AUX
iajs-2615	156	11	a	a	DET
iajs-2615	156	12	wp	wp	NOUN
iajs-2615	156	13	–	–	PUNCT
iajs-2615	156	14	2	2	NUM
iajs-2615	156	15	–	–	PUNCT
iajs-2615	156	16	absorbing	absorb	VERB
iajs-2615	156	17	submodule	submodule	NOUN
iajs-2615	156	18	of	of	ADP
iajs-2615	156	19	e	e	PROPN
iajs-2615	156	20	,	,	PUNCT
iajs-2615	156	21	and	and	CCONJ
iajs-2615	156	22	b1b2	b1b2	X
iajs-2615	156	23			VERB
iajs-2615	156	24	[	[	PUNCT
iajs-2615	156	25	n	n	CCONJ
iajs-2615	156	26	+	+	CCONJ
iajs-2615	156	27	soc	soc	NOUN
iajs-2615	156	28	(	(	PUNCT
iajs-2615	156	29	e	e	NOUN
iajs-2615	156	30	)	)	PUNCT
iajs-2615	156	31	:	:	PUNCT
iajs-2615	156	32	r	r	NOUN
iajs-2615	156	33	e	e	NOUN
iajs-2615	156	34	]	]	PUNCT
iajs-2615	156	35	,	,	PUNCT
iajs-2615	156	36	then	then	ADV
iajs-2615	156	37	by	by	ADP
iajs-2615	156	38	proposition	proposition	NOUN
iajs-2615	156	39	(	(	PUNCT
iajs-2615	156	40	4	4	NUM
iajs-2615	156	41	)	)	PUNCT
iajs-2615	156	42	either	either	CCONJ
iajs-2615	156	43	b1l	b1l	ADP
iajs-2615	156	44			PROPN
iajs-2615	156	45	n	n	PROPN
iajs-2615	156	46	+	+	CCONJ
iajs-2615	156	47	soc	soc	NOUN
iajs-2615	156	48	(	(	PUNCT
iajs-2615	156	49	e	e	NOUN
iajs-2615	156	50	)	)	PUNCT
iajs-2615	156	51	or	or	CCONJ
iajs-2615	156	52	b2l	b2l	ADP
iajs-2615	156	53			PROPN
iajs-2615	156	54	n	n	PROPN
iajs-2615	156	55	+	+	CCONJ
iajs-2615	156	56	soc	soc	NOUN
iajs-2615	156	57	(	(	PUNCT
iajs-2615	156	58	e	e	NOUN
iajs-2615	156	59	)	)	PUNCT
iajs-2615	156	60	.	.	PUNCT
iajs-2615	157	1	now	now	ADV
iajs-2615	157	2	:	:	PUNCT
iajs-2615	157	3	-	-	PUNCT
iajs-2615	157	4	(	(	PUNCT
iajs-2615	157	5	1	1	X
iajs-2615	157	6	)	)	PUNCT
iajs-2615	157	7	if	if	SCONJ
iajs-2615	157	8	b1l	b1l	VERB
iajs-2615	157	9			PROPN
iajs-2615	157	10	n	n	PROPN
iajs-2615	157	11	+	+	CCONJ
iajs-2615	157	12	soc	soc	NOUN
iajs-2615	157	13	(	(	PUNCT
iajs-2615	157	14	e	e	NOUN
iajs-2615	157	15	)	)	PUNCT
iajs-2615	157	16	and	and	CCONJ
iajs-2615	157	17	b2l	b2l	ADP
iajs-2615	157	18			PROPN
iajs-2615	157	19	n	n	CCONJ
iajs-2615	157	20	+	+	CCONJ
iajs-2615	157	21	soc	soc	NOUN
iajs-2615	157	22	(	(	PUNCT
iajs-2615	157	23	e	e	NOUN
iajs-2615	157	24	)	)	PUNCT
iajs-2615	157	25	.	.	PUNCT
iajs-2615	158	1	since	since	SCONJ
iajs-2615	158	2	(	(	PUNCT
iajs-2615	158	3	0	0	NUM
iajs-2615	158	4	)	)	PUNCT
iajs-2615	158	5	≠	≠	PROPN
iajs-2615	158	6	a1b2l	a1b2l	NUM
iajs-2615	158	7			PROPN
iajs-2615	158	8	n	n	PROPN
iajs-2615	158	9	and	and	CCONJ
iajs-2615	158	10	b2l	b2l	ADP
iajs-2615	158	11			PROPN
iajs-2615	158	12	n	n	CCONJ
iajs-2615	158	13	+	+	CCONJ
iajs-2615	158	14	soc	soc	NOUN
iajs-2615	158	15	(	(	PUNCT
iajs-2615	158	16	e	e	NOUN
iajs-2615	158	17	)	)	PUNCT
iajs-2615	158	18	and	and	CCONJ
iajs-2615	158	19	a1l	a1l	DET
iajs-2615	158	20			PROPN
iajs-2615	158	21	n	n	PRON
iajs-2615	158	22	+	+	NUM
iajs-2615	158	23	soc	soc	NOUN
iajs-2615	158	24	(	(	PUNCT
iajs-2615	158	25	e	e	NOUN
iajs-2615	158	26	)	)	PUNCT
iajs-2615	158	27	,	,	PUNCT
iajs-2615	158	28	then	then	ADV
iajs-2615	158	29	by	by	ADP
iajs-2615	158	30	proposition	proposition	NOUN
iajs-2615	158	31	(	(	PUNCT
iajs-2615	158	32	4	4	NUM
iajs-2615	158	33	)	)	PUNCT
iajs-2615	158	34	a1b2	a1b2	PROPN
iajs-2615	158	35			NOUN
iajs-2615	158	36	[	[	X
iajs-2615	158	37	n	n	CCONJ
iajs-2615	158	38	+	+	CCONJ
iajs-2615	158	39	soc	soc	NOUN
iajs-2615	158	40	(	(	PUNCT
iajs-2615	158	41	e	e	NOUN
iajs-2615	158	42	)	)	PUNCT
iajs-2615	158	43	:	:	PUNCT
iajs-2615	158	44	r	r	NOUN
iajs-2615	158	45	e	e	NOUN
iajs-2615	158	46	]	]	X
iajs-2615	158	47	.	.	PUNCT
iajs-2615	159	1	since	since	SCONJ
iajs-2615	159	2	b1l	b1l	PROPN
iajs-2615	159	3			PROPN
iajs-2615	159	4	n	n	PROPN
iajs-2615	159	5	+	+	CCONJ
iajs-2615	159	6	soc	soc	NOUN
iajs-2615	159	7	(	(	PUNCT
iajs-2615	159	8	e	e	NOUN
iajs-2615	159	9	)	)	PUNCT
iajs-2615	159	10	and	and	CCONJ
iajs-2615	159	11	a1l	a1l	DET
iajs-2615	159	12			PROPN
iajs-2615	159	13	n	n	PRON
iajs-2615	159	14	+	+	NUM
iajs-2615	159	15	soc	soc	NOUN
iajs-2615	159	16	(	(	PUNCT
iajs-2615	159	17	e	e	NOUN
iajs-2615	159	18	)	)	PUNCT
iajs-2615	159	19	,	,	PUNCT
iajs-2615	159	20	we	we	PRON
iajs-2615	159	21	get	get	VERB
iajs-2615	159	22	(	(	PUNCT
iajs-2615	159	23	a1	a1	NOUN
iajs-2615	159	24	+	+	CCONJ
iajs-2615	159	25	b1	b1	NOUN
iajs-2615	159	26	)	)	PUNCT
iajs-2615	159	27	l	l	PROPN
iajs-2615	159	28			PROPN
iajs-2615	159	29	n	n	PROPN
iajs-2615	159	30	+	+	NUM
iajs-2615	159	31	soc	soc	NOUN
iajs-2615	159	32	(	(	PUNCT
iajs-2615	159	33	e	e	NOUN
iajs-2615	159	34	)	)	PUNCT
iajs-2615	159	35	.for	.for	PUNCT
iajs-2615	160	1	there	there	ADV
iajs-2615	160	2	more	more	ADJ
iajs-2615	160	3	(	(	PUNCT
iajs-2615	160	4	0	0	NUM
iajs-2615	160	5	)	)	PUNCT
iajs-2615	160	6	≠	≠	PROPN
iajs-2615	160	7	(	(	PUNCT
iajs-2615	160	8	a1	a1	NOUN
iajs-2615	160	9	+	+	CCONJ
iajs-2615	160	10	b1	b1	NOUN
iajs-2615	160	11	)	)	PUNCT
iajs-2615	160	12	b2	b2	NOUN
iajs-2615	160	13	l	l	NOUN
iajs-2615	160	14			PROPN
iajs-2615	160	15	n	n	PROPN
iajs-2615	160	16	and	and	CCONJ
iajs-2615	160	17	n	n	PROPN
iajs-2615	160	18	is	be	AUX
iajs-2615	160	19	a	a	DET
iajs-2615	160	20	wp	wp	NOUN
iajs-2615	160	21	–	–	PUNCT
iajs-2615	160	22	2	2	NUM
iajs-2615	160	23	–	–	PUNCT
iajs-2615	160	24	absorbing	absorb	VERB
iajs-2615	160	25	with	with	ADP
iajs-2615	160	26	(	(	PUNCT
iajs-2615	160	27	a1	a1	NOUN
iajs-2615	160	28	+	+	CCONJ
iajs-2615	160	29	b1	b1	NOUN
iajs-2615	160	30	)	)	PUNCT
iajs-2615	160	31	l	l	PROPN
iajs-2615	160	32			PROPN
iajs-2615	160	33	n	n	PROPN
iajs-2615	160	34	+	+	NUM
iajs-2615	160	35	soc	soc	NOUN
iajs-2615	160	36	(	(	PUNCT
iajs-2615	160	37	e	e	NOUN
iajs-2615	160	38	)	)	PUNCT
iajs-2615	160	39	,	,	PUNCT
iajs-2615	160	40	b2l	b2l	PROPN
iajs-2615	160	41			PROPN
iajs-2615	160	42	n	n	CCONJ
iajs-2615	160	43	+	+	CCONJ
iajs-2615	160	44	soc	soc	NOUN
iajs-2615	160	45	(	(	PUNCT
iajs-2615	160	46	e	e	NOUN
iajs-2615	160	47	)	)	PUNCT
iajs-2615	160	48	,	,	PUNCT
iajs-2615	160	49	it	it	PRON
iajs-2615	160	50	follows	follow	VERB
iajs-2615	160	51	that	that	SCONJ
iajs-2615	160	52	by	by	ADP
iajs-2615	160	53	proposition	proposition	NOUN
iajs-2615	160	54	(	(	PUNCT
iajs-2615	160	55	4	4	NUM
iajs-2615	160	56	)	)	PUNCT
iajs-2615	160	57	(	(	PUNCT
iajs-2615	160	58	a1	a1	NOUN
iajs-2615	160	59	+	+	CCONJ
iajs-2615	160	60	b1	b1	NOUN
iajs-2615	160	61	)	)	PUNCT
iajs-2615	160	62	b2	b2	NOUN
iajs-2615	160	63	=	=	SYM
iajs-2615	160	64	a1b2	a1b2	PROPN
iajs-2615	160	65	+	+	CCONJ
iajs-2615	160	66	b1b2	b1b2	PROPN
iajs-2615	160	67			NOUN
iajs-2615	160	68	[	[	PUNCT
iajs-2615	160	69	n	n	NOUN
iajs-2615	160	70	+	+	CCONJ
iajs-2615	160	71	soc	soc	NOUN
iajs-2615	160	72	(	(	PUNCT
iajs-2615	160	73	e	e	NOUN
iajs-2615	160	74	)	)	PUNCT
iajs-2615	160	75	:	:	PUNCT
iajs-2615	160	76	r	r	NOUN
iajs-2615	160	77	e	e	NOUN
iajs-2615	160	78	]	]	PUNCT
iajs-2615	160	79	,	,	PUNCT
iajs-2615	160	80	but	but	CCONJ
iajs-2615	160	81	a1b2	a1b2	PROPN
iajs-2615	160	82			NOUN
iajs-2615	160	83	[	[	PUNCT
iajs-2615	160	84	n	n	NOUN
iajs-2615	160	85	+	+	CCONJ
iajs-2615	160	86	soc	soc	NOUN
iajs-2615	160	87	(	(	PUNCT
iajs-2615	160	88	e	e	NOUN
iajs-2615	160	89	)	)	PUNCT
iajs-2615	160	90	:	:	PUNCT
iajs-2615	160	91	r	r	NOUN
iajs-2615	160	92	e	e	NOUN
iajs-2615	160	93	]	]	PUNCT
iajs-2615	160	94	,	,	PUNCT
iajs-2615	160	95	then	then	ADV
iajs-2615	160	96	b1b2	b1b2	VERB
iajs-2615	160	97			PROPN
iajs-2615	160	98	[	[	PUNCT
iajs-2615	160	99	n	n	NOUN
iajs-2615	160	100	+	+	CCONJ
iajs-2615	160	101	soc	soc	NOUN
iajs-2615	160	102	(	(	PUNCT
iajs-2615	160	103	e	e	NOUN
iajs-2615	160	104	)	)	PUNCT
iajs-2615	160	105	:	:	PUNCT
iajs-2615	160	106	r	r	NOUN
iajs-2615	160	107	e	e	NOUN
iajs-2615	160	108	]	]	PUNCT
iajs-2615	160	109	,	,	PUNCT
iajs-2615	160	110	this	this	PRON
iajs-2615	160	111	is	be	AUX
iajs-2615	160	112	a	a	DET
iajs-2615	160	113	contradiction	contradiction	NOUN
iajs-2615	160	114	.	.	PUNCT
iajs-2615	161	1	(	(	PUNCT
iajs-2615	161	2	2	2	X
iajs-2615	161	3	)	)	PUNCT
iajs-2615	161	4	if	if	SCONJ
iajs-2615	161	5	b2l	b2l	PROPN
iajs-2615	161	6			PROPN
iajs-2615	161	7	n	n	PROPN
iajs-2615	161	8	+	+	CCONJ
iajs-2615	161	9	soc	soc	NOUN
iajs-2615	161	10	(	(	PUNCT
iajs-2615	161	11	e	e	NOUN
iajs-2615	161	12	)	)	PUNCT
iajs-2615	161	13	and	and	CCONJ
iajs-2615	161	14	b1l	b1l	VERB
iajs-2615	161	15			PROPN
iajs-2615	161	16	n	n	NOUN
iajs-2615	161	17	+	+	CCONJ
iajs-2615	161	18	soc	soc	NOUN
iajs-2615	161	19	(	(	PUNCT
iajs-2615	161	20	e	e	NOUN
iajs-2615	161	21	)	)	PUNCT
iajs-2615	161	22	,	,	PUNCT
iajs-2615	161	23	so	so	CCONJ
iajs-2615	161	24	by	by	ADP
iajs-2615	161	25	similar	similar	ADJ
iajs-2615	161	26	steps	step	NOUN
iajs-2615	161	27	of	of	ADP
iajs-2615	161	28	(	(	PUNCT
iajs-2615	161	29	1	1	X
iajs-2615	161	30	)	)	PUNCT
iajs-2615	161	31	we	we	PRON
iajs-2615	161	32	get	get	VERB
iajs-2615	161	33	a	a	DET
iajs-2615	161	34	contradiction	contradiction	NOUN
iajs-2615	161	35	.	.	PUNCT
iajs-2615	162	1	(	(	PUNCT
iajs-2615	162	2	3	3	X
iajs-2615	162	3	)	)	PUNCT
iajs-2615	162	4	if	if	SCONJ
iajs-2615	162	5	b1l	b1l	VERB
iajs-2615	162	6			PROPN
iajs-2615	162	7	n	n	PROPN
iajs-2615	162	8	+	+	CCONJ
iajs-2615	162	9	soc	soc	NOUN
iajs-2615	162	10	(	(	PUNCT
iajs-2615	162	11	e	e	NOUN
iajs-2615	162	12	)	)	PUNCT
iajs-2615	162	13	and	and	CCONJ
iajs-2615	162	14	b2l	b2l	ADP
iajs-2615	162	15			PROPN
iajs-2615	162	16	n	n	PROPN
iajs-2615	162	17	+	+	CCONJ
iajs-2615	162	18	soc	soc	NOUN
iajs-2615	162	19	(	(	PUNCT
iajs-2615	162	20	e	e	NOUN
iajs-2615	162	21	)	)	PUNCT
iajs-2615	162	22	,	,	PUNCT
iajs-2615	162	23	since	since	SCONJ
iajs-2615	162	24	b2l	b2l	PROPN
iajs-2615	162	25			PROPN
iajs-2615	162	26	n	n	PROPN
iajs-2615	162	27	+	+	CCONJ
iajs-2615	162	28	soc	soc	NOUN
iajs-2615	162	29	(	(	PUNCT
iajs-2615	162	30	e	e	NOUN
iajs-2615	162	31	)	)	PUNCT
iajs-2615	162	32	and	and	CCONJ
iajs-2615	162	33	a2l	a2l	PROPN
iajs-2615	162	34			PROPN
iajs-2615	162	35	n	n	PRON
iajs-2615	162	36	+	+	NUM
iajs-2615	162	37	soc	soc	NOUN
iajs-2615	162	38	(	(	PUNCT
iajs-2615	162	39	e	e	NOUN
iajs-2615	162	40	)	)	PUNCT
iajs-2615	162	41	,	,	PUNCT
iajs-2615	162	42	we	we	PRON
iajs-2615	162	43	get	get	VERB
iajs-2615	162	44	(	(	PUNCT
iajs-2615	162	45	a2	a2	NOUN
iajs-2615	162	46	+	+	CCONJ
iajs-2615	162	47	b2	b2	NOUN
iajs-2615	162	48	)	)	PUNCT
iajs-2615	162	49	l	l	PROPN
iajs-2615	162	50			PROPN
iajs-2615	162	51	n	n	PROPN
iajs-2615	162	52	+	+	NUM
iajs-2615	162	53	soc	soc	NOUN
iajs-2615	162	54	(	(	PUNCT
iajs-2615	162	55	e	e	NOUN
iajs-2615	162	56	)	)	PUNCT
iajs-2615	162	57	.	.	PUNCT
iajs-2615	163	1	but	but	CCONJ
iajs-2615	163	2	(	(	PUNCT
iajs-2615	163	3	0	0	X
iajs-2615	163	4	)	)	PUNCT
iajs-2615	163	5	≠	≠	PROPN
iajs-2615	163	6	a1	a1	NOUN
iajs-2615	163	7	(	(	PUNCT
iajs-2615	163	8	a2	a2	NOUN
iajs-2615	163	9	+	+	CCONJ
iajs-2615	163	10	b2	b2	NOUN
iajs-2615	163	11	)	)	PUNCT
iajs-2615	163	12	l	l	NOUN
iajs-2615	163	13			PROPN
iajs-2615	163	14	n	n	PROPN
iajs-2615	163	15	and	and	CCONJ
iajs-2615	163	16	n	n	PROPN
iajs-2615	163	17	is	be	AUX
iajs-2615	163	18	a	a	DET
iajs-2615	163	19	wp	wp	NOUN
iajs-2615	163	20	–	–	PUNCT
iajs-2615	163	21	2	2	NUM
iajs-2615	163	22	–	–	PUNCT
iajs-2615	163	23	absorbing	absorb	VERB
iajs-2615	163	24	with	with	ADP
iajs-2615	163	25	a1l	a1l	PRON
iajs-2615	163	26			PROPN
iajs-2615	163	27	n	n	PRON
iajs-2615	163	28	+	+	CCONJ
iajs-2615	163	29	soc	soc	NOUN
iajs-2615	163	30	(	(	PUNCT
iajs-2615	163	31	e	e	NOUN
iajs-2615	163	32	)	)	PUNCT
iajs-2615	163	33	and	and	CCONJ
iajs-2615	163	34	(	(	PUNCT
iajs-2615	163	35	a2	a2	PROPN
iajs-2615	163	36	+	+	CCONJ
iajs-2615	163	37	b2	b2	NOUN
iajs-2615	163	38	)	)	PUNCT
iajs-2615	163	39	l	l	PROPN
iajs-2615	163	40			PROPN
iajs-2615	163	41	n	n	PROPN
iajs-2615	163	42	+	+	NUM
iajs-2615	163	43	soc	soc	NOUN
iajs-2615	163	44	(	(	PUNCT
iajs-2615	163	45	e	e	NOUN
iajs-2615	163	46	)	)	PUNCT
iajs-2615	163	47	then	then	ADV
iajs-2615	163	48	,	,	PUNCT
iajs-2615	163	49	we	we	PRON
iajs-2615	163	50	get	get	VERB
iajs-2615	163	51	a1	a1	NOUN
iajs-2615	163	52	(	(	PUNCT
iajs-2615	163	53	a2	a2	NOUN
iajs-2615	163	54	+	+	CCONJ
iajs-2615	163	55	b2	b2	NOUN
iajs-2615	163	56	)	)	PUNCT
iajs-2615	163	57			NOUN
iajs-2615	163	58	[	[	PUNCT
iajs-2615	163	59	n	n	NOUN
iajs-2615	163	60	+	+	CCONJ
iajs-2615	163	61	soc	soc	NOUN
iajs-2615	163	62	(	(	PUNCT
iajs-2615	163	63	e	e	NOUN
iajs-2615	163	64	)	)	PUNCT
iajs-2615	163	65	:	:	PUNCT
iajs-2615	163	66	r	r	NOUN
iajs-2615	163	67	e	e	NOUN
iajs-2615	163	68	]	]	PUNCT
iajs-2615	163	69	.	.	PUNCT
iajs-2615	164	1	since	since	SCONJ
iajs-2615	164	2	a1a2	a1a2	ADP
iajs-2615	164	3			NOUN
iajs-2615	164	4	[	[	PUNCT
iajs-2615	164	5	n	n	NOUN
iajs-2615	164	6	+	+	CCONJ
iajs-2615	164	7	soc	soc	NOUN
iajs-2615	164	8	(	(	PUNCT
iajs-2615	164	9	e	e	NOUN
iajs-2615	164	10	)	)	PUNCT
iajs-2615	164	11	:	:	PUNCT
iajs-2615	164	12	r	r	NOUN
iajs-2615	164	13	e	e	NOUN
iajs-2615	164	14	]	]	PUNCT
iajs-2615	164	15	and	and	CCONJ
iajs-2615	164	16	a1a2	a1a2	ADP
iajs-2615	164	17	+	+	CCONJ
iajs-2615	164	18	a1b2	a1b2	PROPN
iajs-2615	164	19			NOUN
iajs-2615	164	20	[	[	PUNCT
iajs-2615	164	21	n	n	NOUN
iajs-2615	164	22	+	+	CCONJ
iajs-2615	164	23	soc	soc	NOUN
iajs-2615	164	24	(	(	PUNCT
iajs-2615	164	25	e	e	NOUN
iajs-2615	164	26	)	)	PUNCT
iajs-2615	164	27	:	:	PUNCT
iajs-2615	164	28	r	r	NOUN
iajs-2615	164	29	e	e	NOUN
iajs-2615	164	30	]	]	PUNCT
iajs-2615	164	31	,	,	PUNCT
iajs-2615	164	32	it	it	PRON
iajs-2615	164	33	follows	follow	VERB
iajs-2615	164	34	that	that	SCONJ
iajs-2615	164	35	a1b2	a1b2	PROPN
iajs-2615	164	36			PROPN
iajs-2615	164	37	[	[	PUNCT
iajs-2615	164	38	n	n	NOUN
iajs-2615	164	39	+	+	CCONJ
iajs-2615	164	40	soc	soc	NOUN
iajs-2615	164	41	(	(	PUNCT
iajs-2615	164	42	e	e	NOUN
iajs-2615	164	43	)	)	PUNCT
iajs-2615	164	44	:	:	PUNCT
iajs-2615	164	45	r	r	NOUN
iajs-2615	164	46	e	e	NOUN
iajs-2615	164	47	]	]	PUNCT
iajs-2615	164	48	.	.	PUNCT
iajs-2615	165	1	now	now	ADV
iajs-2615	165	2	,	,	PUNCT
iajs-2615	165	3	(	(	PUNCT
iajs-2615	165	4	0	0	X
iajs-2615	165	5	)	)	PUNCT
iajs-2615	165	6	≠	≠	PROPN
iajs-2615	165	7	(	(	PUNCT
iajs-2615	165	8	a1	a1	NOUN
iajs-2615	165	9	+	+	CCONJ
iajs-2615	165	10	b1	b1	NOUN
iajs-2615	165	11	)	)	PUNCT
iajs-2615	165	12	a2	a2	PROPN
iajs-2615	165	13			NOUN
iajs-2615	165	14	n	n	CCONJ
iajs-2615	165	15	and	and	CCONJ
iajs-2615	165	16	a2l	a2l	PROPN
iajs-2615	165	17			PROPN
iajs-2615	165	18	n	n	PRON
iajs-2615	165	19	+	+	NUM
iajs-2615	165	20	soc	soc	NOUN
iajs-2615	165	21	(	(	PUNCT
iajs-2615	165	22	e	e	NOUN
iajs-2615	165	23	)	)	PUNCT
iajs-2615	165	24	and	and	CCONJ
iajs-2615	165	25	(	(	PUNCT
iajs-2615	165	26	a1	a1	NOUN
iajs-2615	165	27	+	+	CCONJ
iajs-2615	165	28	b1	b1	NOUN
iajs-2615	165	29	)	)	PUNCT
iajs-2615	165	30	l	l	PROPN
iajs-2615	165	31			PROPN
iajs-2615	165	32	n	n	PROPN
iajs-2615	165	33	+	+	NUM
iajs-2615	165	34	soc	soc	NOUN
iajs-2615	165	35	(	(	PUNCT
iajs-2615	165	36	e	e	NOUN
iajs-2615	165	37	)	)	PUNCT
iajs-2615	165	38	,	,	PUNCT
iajs-2615	165	39	it	it	PRON
iajs-2615	165	40	follows	follow	VERB
iajs-2615	165	41	by	by	ADP
iajs-2615	165	42	proposition	proposition	NOUN
iajs-2615	165	43	(	(	PUNCT
iajs-2615	165	44	4	4	NUM
iajs-2615	165	45	)	)	PUNCT
iajs-2615	165	46	(	(	PUNCT
iajs-2615	165	47	a1	a1	NOUN
iajs-2615	165	48	+	+	CCONJ
iajs-2615	165	49	b1	b1	NOUN
iajs-2615	165	50	)	)	PUNCT
iajs-2615	165	51	a2	a2	PROPN
iajs-2615	165	52	=	=	SYM
iajs-2615	166	1	a1a2	a1a2	PROPN
iajs-2615	166	2	+	+	X
iajs-2615	166	3	b1a2	b1a2	X
iajs-2615	166	4			NOUN
iajs-2615	166	5	[	[	PUNCT
iajs-2615	166	6	n	n	NOUN
iajs-2615	166	7	+	+	CCONJ
iajs-2615	166	8	soc	soc	NOUN
iajs-2615	166	9	(	(	PUNCT
iajs-2615	166	10	e	e	NOUN
iajs-2615	166	11	)	)	PUNCT
iajs-2615	166	12	:	:	PUNCT
iajs-2615	167	1	r	r	NOUN
iajs-2615	167	2	e	e	NOUN
iajs-2615	167	3	]	]	PUNCT
iajs-2615	167	4	and	and	CCONJ
iajs-2615	167	5	since	since	SCONJ
iajs-2615	167	6	a1a2	a1a2	PROPN
iajs-2615	167	7	[	[	PUNCT
iajs-2615	167	8	n	n	PROPN
iajs-2615	167	9	+	+	CCONJ
iajs-2615	167	10	soc	soc	NOUN
iajs-2615	167	11	(	(	PUNCT
iajs-2615	167	12	e	e	NOUN
iajs-2615	167	13	)	)	PUNCT
iajs-2615	167	14	:	:	PUNCT
iajs-2615	167	15	r	r	NOUN
iajs-2615	167	16	e	e	NOUN
iajs-2615	167	17	]	]	PUNCT
iajs-2615	167	18	,	,	PUNCT
iajs-2615	167	19	we	we	PRON
iajs-2615	167	20	get	get	VERB
iajs-2615	167	21	b1a2	b1a2	PRON
iajs-2615	167	22			NOUN
iajs-2615	167	23	[	[	PUNCT
iajs-2615	167	24	n	n	NOUN
iajs-2615	167	25	+	+	CCONJ
iajs-2615	167	26	soc	soc	NOUN
iajs-2615	167	27	(	(	PUNCT
iajs-2615	167	28	e	e	NOUN
iajs-2615	167	29	)	)	PUNCT
iajs-2615	167	30	:	:	PUNCT
iajs-2615	167	31	r	r	NOUN
iajs-2615	167	32	e	e	NOUN
iajs-2615	167	33	]	]	X
iajs-2615	167	34	.	.	PUNCT
iajs-2615	168	1	since	since	SCONJ
iajs-2615	168	2	(	(	PUNCT
iajs-2615	168	3	0	0	NUM
iajs-2615	168	4	)	)	PUNCT
iajs-2615	168	5	≠	≠	PROPN
iajs-2615	168	6	(	(	PUNCT
iajs-2615	168	7	a1	a1	NOUN
iajs-2615	168	8	+	+	CCONJ
iajs-2615	168	9	b1	b1	NOUN
iajs-2615	168	10	)	)	PUNCT
iajs-2615	168	11	(	(	PUNCT
iajs-2615	168	12	a2	a2	PROPN
iajs-2615	168	13	+	+	CCONJ
iajs-2615	168	14	b2	b2	NOUN
iajs-2615	168	15	)	)	PUNCT
iajs-2615	168	16	l	l	NOUN
iajs-2615	168	17			PROPN
iajs-2615	168	18	n	n	PROPN
iajs-2615	168	19	and	and	CCONJ
iajs-2615	168	20	(	(	PUNCT
iajs-2615	168	21	a1	a1	NOUN
iajs-2615	168	22	+	+	CCONJ
iajs-2615	168	23	b1	b1	NOUN
iajs-2615	168	24	)	)	PUNCT
iajs-2615	168	25	l	l	PROPN
iajs-2615	168	26			PROPN
iajs-2615	168	27	n	n	PROPN
iajs-2615	168	28	+	+	NUM
iajs-2615	168	29	soc	soc	NOUN
iajs-2615	168	30	(	(	PUNCT
iajs-2615	168	31	e	e	NOUN
iajs-2615	168	32	)	)	PUNCT
iajs-2615	168	33	and	and	CCONJ
iajs-2615	168	34	(	(	PUNCT
iajs-2615	168	35	a2	a2	PROPN
iajs-2615	168	36	+	+	CCONJ
iajs-2615	168	37	b2	b2	NOUN
iajs-2615	168	38	)	)	PUNCT
iajs-2615	168	39	l	l	PROPN
iajs-2615	168	40			PROPN
iajs-2615	168	41	n	n	PROPN
iajs-2615	168	42	+	+	NUM
iajs-2615	168	43	soc	soc	NOUN
iajs-2615	168	44	(	(	PUNCT
iajs-2615	168	45	e	e	NOUN
iajs-2615	168	46	)	)	PUNCT
iajs-2615	168	47	then	then	ADV
iajs-2615	168	48	by	by	ADP
iajs-2615	168	49	proposition	proposition	NOUN
iajs-2615	168	50	(	(	PUNCT
iajs-2615	168	51	4	4	X
iajs-2615	168	52	)	)	PUNCT
iajs-2615	168	53	we	we	PRON
iajs-2615	168	54	have	have	AUX
iajs-2615	168	55	(	(	PUNCT
iajs-2615	168	56	a1	a1	NOUN
iajs-2615	168	57	+	+	CCONJ
iajs-2615	168	58	b1	b1	NOUN
iajs-2615	168	59	)	)	PUNCT
iajs-2615	168	60	(	(	PUNCT
iajs-2615	168	61	a2	a2	PROPN
iajs-2615	168	62	+	+	CCONJ
iajs-2615	168	63	b2	b2	NOUN
iajs-2615	168	64	)	)	PUNCT
iajs-2615	168	65	=	=	PUNCT
iajs-2615	169	1	a1a2	a1a2	PROPN
iajs-2615	169	2	+	+	NUM
iajs-2615	169	3	a1b2	a1b2	PROPN
iajs-2615	169	4	+	+	CCONJ
iajs-2615	169	5	b1a2	b1a2	PROPN
iajs-2615	169	6	+	+	CCONJ
iajs-2615	169	7	b1b2	b1b2	PROPN
iajs-2615	169	8			NOUN
iajs-2615	169	9	[	[	PUNCT
iajs-2615	169	10	n	n	NOUN
iajs-2615	169	11	+	+	CCONJ
iajs-2615	169	12	soc	soc	NOUN
iajs-2615	169	13	(	(	PUNCT
iajs-2615	169	14	e	e	NOUN
iajs-2615	169	15	)	)	PUNCT
iajs-2615	169	16	:	:	PUNCT
iajs-2615	169	17	r	r	NOUN
iajs-2615	169	18	e	e	NOUN
iajs-2615	169	19	]	]	PUNCT
iajs-2615	169	20	.	.	PUNCT
iajs-2615	170	1	but	but	CCONJ
iajs-2615	170	2	a1a2	a1a2	INTJ
iajs-2615	170	3	,	,	PUNCT
iajs-2615	170	4	b1a2	b1a2	X
iajs-2615	170	5	,	,	PUNCT
iajs-2615	170	6	a1b2	a1b2	PROPN
iajs-2615	170	7			PROPN
iajs-2615	170	8	[	[	PUNCT
iajs-2615	170	9	n	n	NOUN
iajs-2615	170	10	+	+	CCONJ
iajs-2615	170	11	soc	soc	NOUN
iajs-2615	170	12	(	(	PUNCT
iajs-2615	170	13	e	e	NOUN
iajs-2615	170	14	)	)	PUNCT
iajs-2615	170	15	:	:	PUNCT
iajs-2615	170	16	r	r	NOUN
iajs-2615	170	17	e	e	NOUN
iajs-2615	170	18	]	]	PUNCT
iajs-2615	170	19	,	,	PUNCT
iajs-2615	170	20	we	we	PRON
iajs-2615	170	21	get	get	VERB
iajs-2615	170	22	b1b2	b1b2	VERB
iajs-2615	170	23			NOUN
iajs-2615	170	24	[	[	PUNCT
iajs-2615	170	25	n	n	NOUN
iajs-2615	170	26	+	+	CCONJ
iajs-2615	170	27	soc	soc	NOUN
iajs-2615	170	28	(	(	PUNCT
iajs-2615	170	29	e	e	NOUN
iajs-2615	170	30	)	)	PUNCT
iajs-2615	170	31	:	:	PUNCT
iajs-2615	170	32	r	r	NOUN
iajs-2615	170	33	e	e	X
iajs-2615	170	34	]	]	PUNCT
iajs-2615	170	35	which	which	PRON
iajs-2615	170	36	is	be	AUX
iajs-2615	170	37	a	a	DET
iajs-2615	170	38	contradiction	contradiction	NOUN
iajs-2615	170	39	.	.	PUNCT
iajs-2615	171	1	thus	thus	ADV
iajs-2615	171	2	il	il	PROPN
iajs-2615	171	3			PROPN
iajs-2615	171	4	n	n	PROPN
iajs-2615	171	5	+	+	CCONJ
iajs-2615	171	6	soc	soc	NOUN
iajs-2615	171	7	(	(	PUNCT
iajs-2615	171	8	e	e	NOUN
iajs-2615	171	9	)	)	PUNCT
iajs-2615	171	10	or	or	CCONJ
iajs-2615	171	11	jl	jl	NOUN
iajs-2615	171	12			PROPN
iajs-2615	171	13	n	n	PROPN
iajs-2615	171	14	+	+	CCONJ
iajs-2615	171	15	soc	soc	NOUN
iajs-2615	171	16	(	(	PUNCT
iajs-2615	171	17	e	e	NOUN
iajs-2615	171	18	)	)	PUNCT
iajs-2615	171	19	.	.	PUNCT
iajs-2615	172	1	92	92	NUM
iajs-2615	172	2	ibn	ibn	PROPN
iajs-2615	172	3	al	al	PROPN
iajs-2615	172	4	-	-	PUNCT
iajs-2615	172	5	haitham	haitham	PROPN
iajs-2615	172	6	jour	jour	X
iajs-2615	172	7	.	.	PROPN
iajs-2615	172	8	for	for	ADP
iajs-2615	172	9	pure	pure	ADJ
iajs-2615	172	10	&	&	CCONJ
iajs-2615	172	11	appl	appl	PROPN
iajs-2615	172	12	.	.	PUNCT
iajs-2615	173	1	sci	sci	PROPN
iajs-2615	173	2	.	.	PROPN
iajs-2615	174	1	34	34	NUM
iajs-2615	174	2	(	(	PUNCT
iajs-2615	174	3	2	2	NUM
iajs-2615	174	4	)	)	PUNCT
iajs-2615	174	5	2021	2021	NUM
iajs-2615	174	6	(	(	PUNCT
iajs-2615	174	7			PROPN
iajs-2615	174	8	)	)	PUNCT
iajs-2615	175	1	trivial	trivial	ADJ
iajs-2615	175	2	,	,	PUNCT
iajs-2615	175	3	so	so	ADV
iajs-2615	175	4	we	we	PRON
iajs-2615	175	5	omittedit	omittedit	VERB
iajs-2615	175	6	the	the	DET
iajs-2615	175	7	following	follow	VERB
iajs-2615	175	8	corollaries	corollary	NOUN
iajs-2615	175	9	are	be	AUX
iajs-2615	175	10	adirect	adirect	ADJ
iajs-2615	175	11	consequence	consequence	NOUN
iajs-2615	175	12	of	of	ADP
iajs-2615	175	13	proposition	proposition	NOUN
iajs-2615	175	14	(	(	PUNCT
iajs-2615	175	15	6	6	NUM
iajs-2615	175	16	)	)	PUNCT
iajs-2615	175	17	.	.	PUNCT
iajs-2615	176	1	corollary	corollary	ADJ
iajs-2615	176	2	7	7	NUM
iajs-2615	176	3	.	.	PUNCT
iajs-2615	177	1	a	a	DET
iajs-2615	177	2	proper	proper	ADJ
iajs-2615	177	3	submodule	submodule	NOUN
iajs-2615	177	4	a	a	PRON
iajs-2615	177	5	of	of	ADP
iajs-2615	177	6	an	an	DET
iajs-2615	177	7	r	r	NOUN
iajs-2615	177	8	–	–	PUNCT
iajs-2615	177	9	module	module	NOUN
iajs-2615	177	10	e	e	NOUN
iajs-2615	177	11	is	be	AUX
iajs-2615	177	12	a	a	DET
iajs-2615	177	13	wp	wp	NOUN
iajs-2615	177	14	–	–	PUNCT
iajs-2615	177	15	2	2	NUM
iajs-2615	177	16	–	–	PUNCT
iajs-2615	177	17	absorbing	absorb	VERB
iajs-2615	177	18	submodule	submodule	NOUN
iajs-2615	177	19	of	of	ADP
iajs-2615	177	20	e	e	PROPN
iajs-2615	177	21	if	if	SCONJ
iajs-2615	177	22	and	and	CCONJ
iajs-2615	177	23	only	only	ADV
iajs-2615	177	24	if	if	SCONJ
iajs-2615	177	25	(	(	PUNCT
iajs-2615	177	26	0	0	X
iajs-2615	177	27	)	)	PUNCT
iajs-2615	177	28	≠	≠	PROPN
iajs-2615	177	29	ijx	ijx	NOUN
iajs-2615	177	30			VERB
iajs-2615	177	31	a	a	PRON
iajs-2615	177	32	for	for	ADP
iajs-2615	177	33	some	some	DET
iajs-2615	177	34	ideals	ideal	NOUN
iajs-2615	178	1	i	i	PRON
iajs-2615	178	2	,	,	PUNCT
iajs-2615	178	3	j	j	PROPN
iajs-2615	178	4	of	of	ADP
iajs-2615	178	5	r	r	PROPN
iajs-2615	178	6	and	and	CCONJ
iajs-2615	178	7	x	x	ADP
iajs-2615	178	8			PROPN
iajs-2615	178	9	e	e	NOUN
iajs-2615	178	10	,	,	PUNCT
iajs-2615	178	11	implies	imply	VERB
iajs-2615	178	12	that	that	SCONJ
iajs-2615	178	13	either	either	CCONJ
iajs-2615	178	14	ix	ix	ADP
iajs-2615	178	15			PROPN
iajs-2615	178	16	a	a	DET
iajs-2615	178	17	+	+	X
iajs-2615	178	18	soc	soc	NOUN
iajs-2615	178	19	(	(	PUNCT
iajs-2615	178	20	e	e	NOUN
iajs-2615	178	21	)	)	PUNCT
iajs-2615	178	22	or	or	CCONJ
iajs-2615	178	23	jx	jx	PROPN
iajs-2615	178	24			PROPN
iajs-2615	178	25	a	a	DET
iajs-2615	178	26	+	+	X
iajs-2615	178	27	soc	soc	NOUN
iajs-2615	178	28	(	(	PUNCT
iajs-2615	178	29	e	e	NOUN
iajs-2615	178	30	)	)	PUNCT
iajs-2615	178	31	or	or	CCONJ
iajs-2615	178	32	ij	ij	INTJ
iajs-2615	178	33			PROPN
iajs-2615	178	34	[	[	X
iajs-2615	178	35	a	a	DET
iajs-2615	178	36	+	+	X
iajs-2615	178	37	soc	soc	NOUN
iajs-2615	178	38	(	(	PUNCT
iajs-2615	178	39	e	e	NOUN
iajs-2615	178	40	)	)	PUNCT
iajs-2615	178	41	:	:	PUNCT
iajs-2615	178	42	r	r	NOUN
iajs-2615	178	43	e	e	NOUN
iajs-2615	178	44	]	]	PUNCT
iajs-2615	178	45	.	.	PUNCT
iajs-2615	179	1	corollary	corollary	ADJ
iajs-2615	179	2	8	8	NUM
iajs-2615	179	3	.	.	PUNCT
iajs-2615	180	1	a	a	DET
iajs-2615	180	2	proper	proper	ADJ
iajs-2615	180	3	submodule	submodule	NOUN
iajs-2615	180	4	a	a	PRON
iajs-2615	180	5	of	of	ADP
iajs-2615	180	6	an	an	DET
iajs-2615	180	7	r	r	NOUN
iajs-2615	180	8	–	–	PUNCT
iajs-2615	180	9	module	module	NOUN
iajs-2615	180	10	e	e	NOUN
iajs-2615	180	11	is	be	AUX
iajs-2615	180	12	a	a	DET
iajs-2615	180	13	wp	wp	NOUN
iajs-2615	180	14	–	–	PUNCT
iajs-2615	180	15	2	2	NUM
iajs-2615	180	16	–	–	PUNCT
iajs-2615	180	17	absorbing	absorb	VERB
iajs-2615	180	18	submodule	submodule	NOUN
iajs-2615	180	19	of	of	ADP
iajs-2615	180	20	e	e	PROPN
iajs-2615	180	21	if	if	SCONJ
iajs-2615	180	22	and	and	CCONJ
iajs-2615	180	23	only	only	ADV
iajs-2615	180	24	if	if	SCONJ
iajs-2615	180	25	(	(	PUNCT
iajs-2615	180	26	0	0	X
iajs-2615	180	27	)	)	PUNCT
iajs-2615	180	28	≠	≠	PROPN
iajs-2615	180	29	sil	sil	PROPN
iajs-2615	180	30			PROPN
iajs-2615	180	31	a	a	PRON
iajs-2615	180	32	for	for	SCONJ
iajs-2615	180	33	some	some	PRON
iajs-2615	180	34	s	s	VERB
iajs-2615	180	35			NOUN
iajs-2615	180	36	r	r	NOUN
iajs-2615	180	37	and	and	CCONJ
iajs-2615	180	38	ideal	ideal	NOUN
iajs-2615	180	39	i	i	PRON
iajs-2615	180	40	of	of	ADP
iajs-2615	180	41	r	r	NOUN
iajs-2615	180	42	and	and	CCONJ
iajs-2615	180	43	some	some	DET
iajs-2615	180	44	submodule	submodule	NOUN
iajs-2615	180	45	l	l	NOUN
iajs-2615	180	46	of	of	ADP
iajs-2615	180	47	e	e	PROPN
iajs-2615	180	48	,	,	PUNCT
iajs-2615	180	49	implies	imply	VERB
iajs-2615	180	50	that	that	SCONJ
iajs-2615	180	51	either	either	CCONJ
iajs-2615	180	52	sl	sl	INTJ
iajs-2615	180	53			PROPN
iajs-2615	180	54	a	a	DET
iajs-2615	180	55	+	+	X
iajs-2615	180	56	soc	soc	NOUN
iajs-2615	180	57	(	(	PUNCT
iajs-2615	180	58	e	e	NOUN
iajs-2615	180	59	)	)	PUNCT
iajs-2615	180	60	or	or	CCONJ
iajs-2615	180	61	il	il	PROPN
iajs-2615	180	62			PROPN
iajs-2615	180	63	a	a	DET
iajs-2615	180	64	+	+	X
iajs-2615	180	65	soc	soc	NOUN
iajs-2615	180	66	(	(	PUNCT
iajs-2615	180	67	e	e	NOUN
iajs-2615	180	68	)	)	PUNCT
iajs-2615	180	69	or	or	CCONJ
iajs-2615	180	70	si	si	X
iajs-2615	180	71			PROPN
iajs-2615	180	72	[	[	PUNCT
iajs-2615	180	73	a	a	DET
iajs-2615	180	74	+	+	X
iajs-2615	180	75	soc	soc	NOUN
iajs-2615	180	76	(	(	PUNCT
iajs-2615	180	77	e	e	NOUN
iajs-2615	180	78	)	)	PUNCT
iajs-2615	180	79	:	:	PUNCT
iajs-2615	180	80	r	r	NOUN
iajs-2615	180	81	e	e	NOUN
iajs-2615	180	82	]	]	PUNCT
iajs-2615	180	83	.	.	PUNCT
iajs-2615	181	1	corollary	corollary	ADJ
iajs-2615	181	2	9	9	NUM
iajs-2615	181	3	.	.	PUNCT
iajs-2615	182	1	a	a	DET
iajs-2615	182	2	proper	proper	ADJ
iajs-2615	182	3	submodule	submodule	NOUN
iajs-2615	182	4	a	a	PRON
iajs-2615	182	5	of	of	ADP
iajs-2615	182	6	an	an	DET
iajs-2615	182	7	r	r	NOUN
iajs-2615	182	8	–	–	PUNCT
iajs-2615	182	9	module	module	NOUN
iajs-2615	182	10	e	e	NOUN
iajs-2615	182	11	is	be	AUX
iajs-2615	182	12	a	a	DET
iajs-2615	182	13	wp	wp	NOUN
iajs-2615	182	14	–	–	PUNCT
iajs-2615	182	15	2	2	NUM
iajs-2615	182	16	–	–	PUNCT
iajs-2615	182	17	absorbing	absorb	VERB
iajs-2615	182	18	submodule	submodule	NOUN
iajs-2615	182	19	of	of	ADP
iajs-2615	182	20	e	e	PROPN
iajs-2615	182	21	if	if	SCONJ
iajs-2615	182	22	and	and	CCONJ
iajs-2615	182	23	only	only	ADV
iajs-2615	182	24	if	if	SCONJ
iajs-2615	182	25	(	(	PUNCT
iajs-2615	182	26	0	0	X
iajs-2615	182	27	)	)	PUNCT
iajs-2615	182	28	≠	≠	PROPN
iajs-2615	182	29	six	six	NUM
iajs-2615	182	30			NOUN
iajs-2615	182	31	a	a	PRON
iajs-2615	182	32	for	for	SCONJ
iajs-2615	182	33	some	some	PRON
iajs-2615	182	34	s	s	PART
iajs-2615	182	35			PROPN
iajs-2615	182	36	r	r	NOUN
iajs-2615	182	37	,	,	PUNCT
iajs-2615	182	38	ideal	ideal	ADJ
iajs-2615	182	39	i	i	PRON
iajs-2615	182	40	of	of	ADP
iajs-2615	182	41	r	r	NOUN
iajs-2615	182	42	and	and	CCONJ
iajs-2615	182	43	some	some	PRON
iajs-2615	182	44	x	x	ADP
iajs-2615	182	45			PROPN
iajs-2615	182	46	e	e	NOUN
iajs-2615	182	47	,	,	PUNCT
iajs-2615	182	48	implies	imply	VERB
iajs-2615	182	49	that	that	SCONJ
iajs-2615	182	50	either	either	CCONJ
iajs-2615	182	51	sx	sx	PROPN
iajs-2615	182	52			PROPN
iajs-2615	182	53	a	a	DET
iajs-2615	182	54	+	+	X
iajs-2615	182	55	soc	soc	NOUN
iajs-2615	182	56	(	(	PUNCT
iajs-2615	182	57	e	e	NOUN
iajs-2615	182	58	)	)	PUNCT
iajs-2615	182	59	or	or	CCONJ
iajs-2615	182	60	ix	ix	ADP
iajs-2615	182	61			PROPN
iajs-2615	182	62	a	a	DET
iajs-2615	182	63	+	+	X
iajs-2615	182	64	soc	soc	NOUN
iajs-2615	182	65	(	(	PUNCT
iajs-2615	182	66	e	e	NOUN
iajs-2615	182	67	)	)	PUNCT
iajs-2615	182	68	or	or	CCONJ
iajs-2615	182	69	si	si	X
iajs-2615	182	70			PROPN
iajs-2615	183	1	[	[	X
iajs-2615	183	2	a	a	DET
iajs-2615	183	3	+	+	X
iajs-2615	183	4	soc	soc	NOUN
iajs-2615	183	5	(	(	PUNCT
iajs-2615	183	6	e	e	NOUN
iajs-2615	183	7	)	)	PUNCT
iajs-2615	183	8	:	:	PUNCT
iajs-2615	183	9	r	r	NOUN
iajs-2615	183	10	e	e	NOUN
iajs-2615	183	11	]	]	PUNCT
iajs-2615	183	12	.	.	PUNCT
iajs-2615	184	1	proposition	proposition	NOUN
iajs-2615	184	2	10	10	NUM
iajs-2615	184	3	.	.	PUNCT
iajs-2615	185	1	let	let	VERB
iajs-2615	185	2	a	a	DET
iajs-2615	185	3	be	be	AUX
iajs-2615	185	4	a	a	DET
iajs-2615	185	5	wp	wp	NOUN
iajs-2615	185	6	–	–	PUNCT
iajs-2615	185	7	2	2	NUM
iajs-2615	185	8	–	–	PUNCT
iajs-2615	185	9	absorbing	absorb	VERB
iajs-2615	185	10	submodule	submodule	NOUN
iajs-2615	185	11	of	of	ADP
iajs-2615	185	12	an	an	DET
iajs-2615	185	13	r	r	NOUN
iajs-2615	185	14	–	–	PUNCT
iajs-2615	185	15	module	module	NOUN
iajs-2615	185	16	e	e	NOUN
iajs-2615	185	17	and	and	CCONJ
iajs-2615	185	18	b	b	PROPN
iajs-2615	185	19	is	be	AUX
iajs-2615	185	20	a	a	DET
iajs-2615	185	21	submodule	submodule	NOUN
iajs-2615	185	22	of	of	ADP
iajs-2615	185	23	e	e	PROPN
iajs-2615	185	24	with	with	ADP
iajs-2615	185	25	b	b	PROPN
iajs-2615	185	26			PROPN
iajs-2615	185	27	a	a	PRON
iajs-2615	185	28	then	then	ADV
iajs-2615	185	29	a	a	DET
iajs-2615	185	30	b	b	NOUN
iajs-2615	185	31	is	be	AUX
iajs-2615	185	32	a	a	DET
iajs-2615	185	33	wp	wp	NOUN
iajs-2615	185	34	–	–	PUNCT
iajs-2615	185	35	2	2	NUM
iajs-2615	185	36	–	–	PUNCT
iajs-2615	185	37	absorbing	absorb	VERB
iajs-2615	185	38	submodule	submodule	NOUN
iajs-2615	185	39	of	of	ADP
iajs-2615	185	40	an	an	DET
iajs-2615	185	41	r	r	NOUN
iajs-2615	185	42	–	–	PUNCT
iajs-2615	185	43	module	module	NOUN
iajs-2615	185	44	e	e	NOUN
iajs-2615	185	45	b	b	PROPN
iajs-2615	185	46	.	.	PUNCT
iajs-2615	186	1	proof	proof	NOUN
iajs-2615	186	2	:	:	PUNCT
iajs-2615	186	3	let	let	VERB
iajs-2615	186	4	0	0	NUM
iajs-2615	186	5	≠	≠	PROPN
iajs-2615	186	6	ts	ts	X
iajs-2615	186	7	(	(	PUNCT
iajs-2615	186	8	x	x	PROPN
iajs-2615	186	9	+	+	NUM
iajs-2615	186	10	b	b	NOUN
iajs-2615	186	11	)	)	PUNCT
iajs-2615	187	1	=	=	NOUN
iajs-2615	187	2	stx	stx	NOUN
iajs-2615	187	3	+	+	CCONJ
iajs-2615	187	4	b	b	PROPN
iajs-2615	187	5			NOUN
iajs-2615	187	6	a	a	DET
iajs-2615	187	7	b	b	NOUN
iajs-2615	187	8	for	for	ADP
iajs-2615	187	9	s	s	PROPN
iajs-2615	187	10	,	,	PUNCT
iajs-2615	187	11	t	t	PROPN
iajs-2615	187	12			PROPN
iajs-2615	187	13	r	r	NOUN
iajs-2615	187	14	,	,	PUNCT
iajs-2615	187	15	x	x	PROPN
iajs-2615	188	1	+	+	NUM
iajs-2615	188	2	b	b	X
iajs-2615	188	3			NOUN
iajs-2615	188	4	e	e	PROPN
iajs-2615	188	5	b	b	PROPN
iajs-2615	188	6	,	,	PUNCT
iajs-2615	188	7	x	x	SYM
iajs-2615	188	8			NOUN
iajs-2615	188	9	e	e	X
iajs-2615	188	10	.it	.it	PUNCT
iajs-2615	188	11	follows	follow	VERB
iajs-2615	188	12	that	that	SCONJ
iajs-2615	188	13	tsx	tsx	PROPN
iajs-2615	188	14			PROPN
iajs-2615	188	15	a.	a.	NOUN
iajs-2615	188	16	if	if	SCONJ
iajs-2615	188	17	tsx	tsx	PROPN
iajs-2615	188	18	=	=	NOUN
iajs-2615	188	19	0	0	PUNCT
iajs-2615	189	1	then	then	ADV
iajs-2615	189	2	ts	ts	VERB
iajs-2615	189	3	(	(	PUNCT
iajs-2615	189	4	x	x	PROPN
iajs-2615	189	5	+	+	NUM
iajs-2615	189	6	b	b	NOUN
iajs-2615	189	7	)	)	PUNCT
iajs-2615	189	8	=	=	SYM
iajs-2615	189	9	0	0	NUM
iajs-2615	189	10	which	which	PRON
iajs-2615	189	11	is	be	AUX
iajs-2615	189	12	a	a	DET
iajs-2615	189	13	contradiction	contradiction	NOUN
iajs-2615	189	14	.	.	PUNCT
iajs-2615	190	1	thus	thus	ADV
iajs-2615	190	2	0	0	NUM
iajs-2615	190	3	≠	≠	PROPN
iajs-2615	190	4	tsx	tsx	NOUN
iajs-2615	190	5			NOUN
iajs-2615	190	6	a	a	PRON
iajs-2615	190	7	implies	imply	VERB
iajs-2615	190	8	that	that	SCONJ
iajs-2615	190	9	either	either	CCONJ
iajs-2615	190	10	tx	tx	VERB
iajs-2615	190	11			PROPN
iajs-2615	190	12	a	a	DET
iajs-2615	190	13	+	+	X
iajs-2615	190	14	soc	soc	NOUN
iajs-2615	190	15	(	(	PUNCT
iajs-2615	190	16	e	e	NOUN
iajs-2615	190	17	)	)	PUNCT
iajs-2615	190	18	or	or	CCONJ
iajs-2615	190	19	sx	sx	PROPN
iajs-2615	190	20			PROPN
iajs-2615	190	21	a	a	DET
iajs-2615	190	22	+	+	X
iajs-2615	190	23	soc	soc	NOUN
iajs-2615	190	24	(	(	PUNCT
iajs-2615	190	25	e	e	NOUN
iajs-2615	190	26	)	)	PUNCT
iajs-2615	190	27	or	or	CCONJ
iajs-2615	190	28	tse	tse	PROPN
iajs-2615	190	29			PROPN
iajs-2615	190	30	a	a	DET
iajs-2615	190	31	+	+	X
iajs-2615	190	32	soc	soc	NOUN
iajs-2615	190	33	(	(	PUNCT
iajs-2615	190	34	e	e	NOUN
iajs-2615	190	35	)	)	PUNCT
iajs-2615	190	36	.it	.it	PUNCT
iajs-2615	191	1	follow	follow	VERB
iajs-2615	191	2	that	that	SCONJ
iajs-2615	191	3	either	either	PRON
iajs-2615	191	4	t	t	PROPN
iajs-2615	191	5	(	(	PUNCT
iajs-2615	191	6	x	x	PROPN
iajs-2615	191	7	+	+	NUM
iajs-2615	191	8	b	b	NOUN
iajs-2615	191	9	)	)	PUNCT
iajs-2615	191	10			NOUN
iajs-2615	191	11	a	a	DET
iajs-2615	191	12	+	+	NOUN
iajs-2615	191	13	soc	soc	NOUN
iajs-2615	191	14	(	(	PUNCT
iajs-2615	191	15	e	e	NOUN
iajs-2615	191	16	)	)	PUNCT
iajs-2615	191	17	b	b	PROPN
iajs-2615	191	18	or	or	CCONJ
iajs-2615	191	19	s(x	s(x	PROPN
iajs-2615	191	20	+	+	CCONJ
iajs-2615	191	21	b	b	X
iajs-2615	191	22	)	)	PUNCT
iajs-2615	191	23			NOUN
iajs-2615	191	24	a	a	DET
iajs-2615	191	25	+	+	NOUN
iajs-2615	191	26	soc	soc	NOUN
iajs-2615	191	27	(	(	PUNCT
iajs-2615	191	28	e	e	NOUN
iajs-2615	191	29	)	)	PUNCT
iajs-2615	191	30	b	b	PROPN
iajs-2615	191	31	or	or	CCONJ
iajs-2615	191	32	tse	tse	PROPN
iajs-2615	191	33	b	b	PROPN
iajs-2615	191	34			PROPN
iajs-2615	191	35	𝐴	𝐴	PROPN
iajs-2615	191	36	+	+	PROPN
iajs-2615	191	37	𝑠𝑜𝑐	𝑠𝑜𝑐	PROPN
iajs-2615	191	38	(	(	PUNCT
iajs-2615	191	39	𝐸	𝐸	PROPN
iajs-2615	191	40	)	)	PUNCT
iajs-2615	191	41	𝐵	𝐵	NOUN
iajs-2615	191	42	.	.	PUNCT
iajs-2615	192	1	that	that	PRON
iajs-2615	192	2	is	be	AUX
iajs-2615	192	3	either	either	DET
iajs-2615	192	4	t	t	PROPN
iajs-2615	192	5	(	(	PUNCT
iajs-2615	192	6	x	x	PROPN
iajs-2615	192	7	+	+	NUM
iajs-2615	192	8	b	b	NOUN
iajs-2615	192	9	)	)	PUNCT
iajs-2615	192	10			NOUN
iajs-2615	192	11	a	a	DET
iajs-2615	192	12	b	b	NOUN
iajs-2615	192	13	+	+	CCONJ
iajs-2615	192	14	a	a	DET
iajs-2615	192	15	+	+	ADJ
iajs-2615	192	16	soc	soc	NOUN
iajs-2615	192	17	(	(	PUNCT
iajs-2615	192	18	e	e	NOUN
iajs-2615	192	19	)	)	PUNCT
iajs-2615	192	20	b	b	NOUN
iajs-2615	192	21			VERB
iajs-2615	192	22	a	a	DET
iajs-2615	192	23	b	b	NOUN
iajs-2615	193	1	+	+	CCONJ
iajs-2615	193	2	soc	soc	NOUN
iajs-2615	193	3	(	(	PUNCT
iajs-2615	193	4	e	e	NOUN
iajs-2615	193	5	b	b	PROPN
iajs-2615	193	6	)	)	PUNCT
iajs-2615	193	7	or	or	CCONJ
iajs-2615	193	8	s	s	VERB
iajs-2615	193	9	(	(	PUNCT
iajs-2615	193	10	x	x	SYM
iajs-2615	193	11	+	+	NUM
iajs-2615	193	12	b	b	NOUN
iajs-2615	193	13	)	)	PUNCT
iajs-2615	193	14			NOUN
iajs-2615	193	15	a	a	DET
iajs-2615	193	16	b	b	NOUN
iajs-2615	193	17	+	+	CCONJ
iajs-2615	193	18	a	a	DET
iajs-2615	193	19	+	+	ADJ
iajs-2615	193	20	soc	soc	NOUN
iajs-2615	193	21	(	(	PUNCT
iajs-2615	193	22	e	e	NOUN
iajs-2615	193	23	)	)	PUNCT
iajs-2615	193	24	b	b	NOUN
iajs-2615	193	25			VERB
iajs-2615	193	26	a	a	DET
iajs-2615	193	27	b	b	NOUN
iajs-2615	193	28	+	+	CCONJ
iajs-2615	193	29	soc	soc	NOUN
iajs-2615	193	30	(	(	PUNCT
iajs-2615	193	31	e	e	NOUN
iajs-2615	193	32	b	b	PROPN
iajs-2615	193	33	)	)	PUNCT
iajs-2615	193	34	or	or	CCONJ
iajs-2615	193	35	ts	ts	ADP
iajs-2615	193	36	e	e	PROPN
iajs-2615	193	37	b	b	PROPN
iajs-2615	193	38			PROPN
iajs-2615	193	39	a	a	DET
iajs-2615	193	40	b	b	NOUN
iajs-2615	193	41	+	+	CCONJ
iajs-2615	193	42	a	a	DET
iajs-2615	193	43	+	+	ADJ
iajs-2615	193	44	soc	soc	NOUN
iajs-2615	193	45	(	(	PUNCT
iajs-2615	193	46	e	e	NOUN
iajs-2615	193	47	)	)	PUNCT
iajs-2615	193	48	b	b	NOUN
iajs-2615	193	49			VERB
iajs-2615	193	50	a	a	DET
iajs-2615	193	51	b	b	NOUN
iajs-2615	194	1	+	+	CCONJ
iajs-2615	194	2	soc	soc	NOUN
iajs-2615	194	3	(	(	PUNCT
iajs-2615	194	4	e	e	NOUN
iajs-2615	194	5	b	b	PROPN
iajs-2615	194	6	)	)	PUNCT
iajs-2615	194	7	.	.	PUNCT
iajs-2615	195	1	hence	hence	ADV
iajs-2615	195	2	,	,	PUNCT
iajs-2615	195	3	a	a	DET
iajs-2615	195	4	b	b	NOUN
iajs-2615	195	5	is	be	AUX
iajs-2615	195	6	a	a	DET
iajs-2615	195	7	wp	wp	NOUN
iajs-2615	195	8	–	–	PUNCT
iajs-2615	195	9	2	2	NUM
iajs-2615	195	10	–	–	PUNCT
iajs-2615	195	11	absorbing	absorb	VERB
iajs-2615	195	12	submodule	submodule	NOUN
iajs-2615	195	13	of	of	ADP
iajs-2615	195	14	an	an	DET
iajs-2615	195	15	r	r	NOUN
iajs-2615	195	16	–	–	PUNCT
iajs-2615	195	17	module	module	NOUN
iajs-2615	195	18	e	e	PROPN
iajs-2615	195	19	b	b	PROPN
iajs-2615	195	20	.	.	PUNCT
iajs-2615	196	1	proposition	proposition	NOUN
iajs-2615	196	2	.11	.11	NUM
iajs-2615	196	3	.	.	PUNCT
iajs-2615	197	1	let	let	VERB
iajs-2615	197	2	a	a	DET
iajs-2615	197	3	,	,	PUNCT
iajs-2615	197	4	b	b	PROPN
iajs-2615	197	5	be	be	AUX
iajs-2615	197	6	submodules	submodule	NOUN
iajs-2615	197	7	of	of	ADP
iajs-2615	197	8	semi	semi	ADJ
iajs-2615	197	9	simple	simple	ADJ
iajs-2615	197	10	r	r	NOUN
iajs-2615	197	11	–	–	PUNCT
iajs-2615	197	12	module	module	NOUN
iajs-2615	197	13	e	e	NOUN
iajs-2615	197	14	with	with	ADP
iajs-2615	197	15	b	b	PROPN
iajs-2615	197	16			PROPN
iajs-2615	197	17	a.	a.	NOUN
iajs-2615	197	18	if	if	SCONJ
iajs-2615	197	19	b	b	PROPN
iajs-2615	197	20	and	and	CCONJ
iajs-2615	197	21	a	a	DET
iajs-2615	197	22	b	b	NOUN
iajs-2615	197	23	are	be	AUX
iajs-2615	197	24	wp	wp	NOUN
iajs-2615	197	25	–	–	PUNCT
iajs-2615	197	26	2	2	NUM
iajs-2615	197	27	–	–	PUNCT
iajs-2615	197	28	absorbing	absorb	VERB
iajs-2615	197	29	submodules	submodule	NOUN
iajs-2615	197	30	of	of	ADP
iajs-2615	197	31	e	e	NOUN
iajs-2615	197	32	,	,	PUNCT
iajs-2615	197	33	e	e	PROPN
iajs-2615	197	34	b	b	PROPN
iajs-2615	197	35	respectively	respectively	ADV
iajs-2615	197	36	,	,	PUNCT
iajs-2615	197	37	then	then	ADV
iajs-2615	197	38	a	a	PRON
iajs-2615	197	39	is	be	AUX
iajs-2615	197	40	a	a	DET
iajs-2615	197	41	wp	wp	NOUN
iajs-2615	197	42	–	–	PUNCT
iajs-2615	197	43	2	2	NUM
iajs-2615	197	44	–	–	PUNCT
iajs-2615	197	45	absorbing	absorb	VERB
iajs-2615	197	46	submodule	submodule	NOUN
iajs-2615	197	47	of	of	ADP
iajs-2615	197	48	e	e	PROPN
iajs-2615	197	49	.	.	PUNCT
iajs-2615	198	1	proof	proof	NOUN
iajs-2615	198	2	:	:	PUNCT
iajs-2615	198	3	let	let	VERB
iajs-2615	198	4	0	0	NUM
iajs-2615	198	5	≠	≠	PROPN
iajs-2615	198	6	tsx	tsx	PROPN
iajs-2615	198	7			NUM
iajs-2615	198	8	a	a	PRON
iajs-2615	198	9	for	for	ADP
iajs-2615	198	10	t	t	NOUN
iajs-2615	198	11	,	,	PUNCT
iajs-2615	198	12	s	s	PART
iajs-2615	198	13			PROPN
iajs-2615	198	14	r	r	NOUN
iajs-2615	198	15	,	,	PUNCT
iajs-2615	198	16	x	x	X
iajs-2615	198	17			NOUN
iajs-2615	198	18	e	e	NOUN
iajs-2615	198	19	,	,	PUNCT
iajs-2615	198	20	then	then	ADV
iajs-2615	198	21	0	0	NUM
iajs-2615	198	22	≠	≠	PROPN
iajs-2615	198	23	ts	ts	X
iajs-2615	198	24	(	(	PUNCT
iajs-2615	198	25	x	x	PROPN
iajs-2615	198	26	+	+	NUM
iajs-2615	198	27	b	b	NOUN
iajs-2615	198	28	)	)	PUNCT
iajs-2615	198	29	=	=	SYM
iajs-2615	198	30	tsx	tsx	PROPN
iajs-2615	198	31	+	+	SYM
iajs-2615	198	32	b	b	PROPN
iajs-2615	198	33			NOUN
iajs-2615	198	34	a	a	DET
iajs-2615	198	35	b	b	NOUN
iajs-2615	198	36	.	.	PUNCT
iajs-2615	199	1	if	if	SCONJ
iajs-2615	199	2	0	0	NUM
iajs-2615	199	3	≠	≠	PROPN
iajs-2615	199	4	tsx	tsx	PROPN
iajs-2615	199	5			PROPN
iajs-2615	199	6	b	b	PROPN
iajs-2615	199	7	and	and	CCONJ
iajs-2615	199	8	b	b	PROPN
iajs-2615	199	9	is	be	AUX
iajs-2615	199	10	a	a	DET
iajs-2615	199	11	wp	wp	NOUN
iajs-2615	199	12	–	–	PUNCT
iajs-2615	199	13	2	2	NUM
iajs-2615	199	14	–	–	PUNCT
iajs-2615	199	15	absorbing	absorb	VERB
iajs-2615	199	16	,	,	PUNCT
iajs-2615	199	17	implies	imply	VERB
iajs-2615	199	18	that	that	SCONJ
iajs-2615	199	19	either	either	CCONJ
iajs-2615	199	20	tx	tx	VERB
iajs-2615	199	21			PROPN
iajs-2615	199	22	b	b	PROPN
iajs-2615	199	23	+	+	CCONJ
iajs-2615	199	24	soc	soc	NOUN
iajs-2615	199	25	(	(	PUNCT
iajs-2615	199	26	e	e	NOUN
iajs-2615	199	27	)	)	PUNCT
iajs-2615	199	28			PROPN
iajs-2615	199	29	a	a	DET
iajs-2615	199	30	+	+	X
iajs-2615	199	31	soc	soc	NOUN
iajs-2615	199	32	(	(	PUNCT
iajs-2615	199	33	e	e	NOUN
iajs-2615	199	34	)	)	PUNCT
iajs-2615	199	35	or	or	CCONJ
iajs-2615	199	36	sx	sx	PROPN
iajs-2615	199	37			PROPN
iajs-2615	199	38	b	b	PROPN
iajs-2615	200	1	+	+	CCONJ
iajs-2615	200	2	soc	soc	NOUN
iajs-2615	200	3	(	(	PUNCT
iajs-2615	200	4	e	e	NOUN
iajs-2615	200	5	)	)	PUNCT
iajs-2615	200	6			PROPN
iajs-2615	200	7	a	a	DET
iajs-2615	200	8	+	+	X
iajs-2615	200	9	soc	soc	NOUN
iajs-2615	200	10	(	(	PUNCT
iajs-2615	200	11	e	e	NOUN
iajs-2615	200	12	)	)	PUNCT
iajs-2615	200	13	or	or	CCONJ
iajs-2615	200	14	tse	tse	PROPN
iajs-2615	200	15			PROPN
iajs-2615	200	16	b	b	PROPN
iajs-2615	200	17	+	+	NUM
iajs-2615	200	18	soc	soc	NOUN
iajs-2615	200	19	(	(	PUNCT
iajs-2615	200	20	e	e	NOUN
iajs-2615	200	21	)	)	PUNCT
iajs-2615	200	22			PROPN
iajs-2615	200	23	a	a	DET
iajs-2615	200	24	+	+	X
iajs-2615	200	25	soc	soc	NOUN
iajs-2615	200	26	(	(	PUNCT
iajs-2615	200	27	e	e	NOUN
iajs-2615	200	28	)	)	PUNCT
iajs-2615	200	29	.thus	.thus	ADV
iajs-2615	200	30	a	a	PRON
iajs-2615	200	31	is	be	AUX
iajs-2615	200	32	a	a	DET
iajs-2615	200	33	wp	wp	NOUN
iajs-2615	200	34	–	–	PUNCT
iajs-2615	200	35	2	2	NUM
iajs-2615	200	36	–	–	PUNCT
iajs-2615	200	37	93	93	NUM
iajs-2615	200	38	ibn	ibn	PROPN
iajs-2615	200	39	al	al	PROPN
iajs-2615	200	40	-	-	PUNCT
iajs-2615	200	41	haitham	haitham	PROPN
iajs-2615	200	42	jour	jour	X
iajs-2615	200	43	.	.	PROPN
iajs-2615	201	1	for	for	ADP
iajs-2615	201	2	pure	pure	ADJ
iajs-2615	201	3	&	&	CCONJ
iajs-2615	201	4	appl	appl	PROPN
iajs-2615	201	5	.	.	PUNCT
iajs-2615	202	1	sci	sci	PROPN
iajs-2615	202	2	.	.	PROPN
iajs-2615	203	1	34	34	NUM
iajs-2615	203	2	(	(	PUNCT
iajs-2615	203	3	2	2	NUM
iajs-2615	203	4	)	)	PUNCT
iajs-2615	203	5	2021	2021	NUM
iajs-2615	203	6	absorbing	absorb	VERB
iajs-2615	203	7	submodule	submodule	NOUN
iajs-2615	203	8	of	of	ADP
iajs-2615	203	9	e	e	PROPN
iajs-2615	203	10	.	.	PUNCT
iajs-2615	204	1	assume	assume	VERB
iajs-2615	204	2	that	that	SCONJ
iajs-2615	204	3	tsx	tsx	PROPN
iajs-2615	204	4			PROPN
iajs-2615	204	5	b	b	PROPN
iajs-2615	204	6	,	,	PUNCT
iajs-2615	204	7	it	it	PRON
iajs-2615	204	8	follows	follow	VERB
iajs-2615	204	9	that	that	SCONJ
iajs-2615	204	10	0	0	NUM
iajs-2615	204	11	≠	≠	PROPN
iajs-2615	204	12	ts	t	VERB
iajs-2615	204	13	(	(	PUNCT
iajs-2615	204	14	x	x	PROPN
iajs-2615	204	15	+	+	NUM
iajs-2615	204	16	b	b	NOUN
iajs-2615	204	17	)	)	PUNCT
iajs-2615	204	18			NOUN
iajs-2615	204	19	a	a	DET
iajs-2615	204	20	b	b	NOUN
iajs-2615	204	21	.	.	PUNCT
iajs-2615	205	1	but	but	CCONJ
iajs-2615	205	2	a	a	DET
iajs-2615	205	3	b	b	NOUN
iajs-2615	205	4	is	be	AUX
iajs-2615	205	5	a	a	DET
iajs-2615	205	6	wp	wp	NOUN
iajs-2615	205	7	–	–	PUNCT
iajs-2615	205	8	2	2	NUM
iajs-2615	205	9	–	–	PUNCT
iajs-2615	205	10	absorbing	absorb	VERB
iajs-2615	205	11	submodule	submodule	NOUN
iajs-2615	205	12	of	of	ADP
iajs-2615	205	13	e	e	PROPN
iajs-2615	205	14	b	b	PROPN
iajs-2615	205	15	implies	imply	VERB
iajs-2615	205	16	that	that	SCONJ
iajs-2615	205	17	either	either	DET
iajs-2615	205	18	t	t	PROPN
iajs-2615	205	19	(	(	PUNCT
iajs-2615	205	20	x	x	PROPN
iajs-2615	205	21	+	+	NUM
iajs-2615	205	22	b	b	NOUN
iajs-2615	205	23	)	)	PUNCT
iajs-2615	205	24			NOUN
iajs-2615	205	25	a	a	DET
iajs-2615	205	26	b	b	NOUN
iajs-2615	205	27	+	+	CCONJ
iajs-2615	205	28	soc	soc	NOUN
iajs-2615	205	29	(	(	PUNCT
iajs-2615	205	30	e	e	NOUN
iajs-2615	205	31	b	b	PROPN
iajs-2615	205	32	)	)	PUNCT
iajs-2615	205	33	or	or	CCONJ
iajs-2615	205	34	s	s	X
iajs-2615	205	35	(	(	PUNCT
iajs-2615	205	36	x	x	PROPN
iajs-2615	205	37	+	+	NUM
iajs-2615	205	38	b	b	NOUN
iajs-2615	205	39	)	)	PUNCT
iajs-2615	205	40	a	a	DET
iajs-2615	205	41	b	b	NOUN
iajs-2615	205	42	+	+	CCONJ
iajs-2615	205	43	soc	soc	NOUN
iajs-2615	205	44	(	(	PUNCT
iajs-2615	205	45	e	e	NOUN
iajs-2615	205	46	b	b	PROPN
iajs-2615	205	47	)	)	PUNCT
iajs-2615	205	48	or	or	CCONJ
iajs-2615	205	49	𝑡	𝑡	PROPN
iajs-2615	205	50	𝑠	𝑠	PROPN
iajs-2615	205	51	𝐸	𝐸	NOUN
iajs-2615	205	52	𝐵	𝐵	NOUN
iajs-2615	205	53			VERB
iajs-2615	205	54	a	a	DET
iajs-2615	205	55	b	b	NOUN
iajs-2615	205	56	+	+	CCONJ
iajs-2615	205	57	soc	soc	NOUN
iajs-2615	205	58	(	(	PUNCT
iajs-2615	205	59	e	e	NOUN
iajs-2615	205	60	b	b	PROPN
iajs-2615	205	61	)	)	PUNCT
iajs-2615	205	62	.	.	PUNCT
iajs-2615	206	1	since	since	SCONJ
iajs-2615	206	2	e	e	PROPN
iajs-2615	206	3	is	be	AUX
iajs-2615	206	4	a	a	DET
iajs-2615	206	5	semi	semi	ADJ
iajs-2615	206	6	simple	simple	ADJ
iajs-2615	206	7	then	then	ADV
iajs-2615	206	8	soc	soc	NOUN
iajs-2615	206	9	(	(	PUNCT
iajs-2615	206	10	e	e	NOUN
iajs-2615	206	11	b	b	PROPN
iajs-2615	206	12	)	)	PUNCT
iajs-2615	206	13	=	=	SYM
iajs-2615	206	14	soc	soc	NOUN
iajs-2615	206	15	(	(	PUNCT
iajs-2615	206	16	e	e	NOUN
iajs-2615	206	17	)	)	PUNCT
iajs-2615	207	1	+	+	PROPN
iajs-2615	207	2	b	b	PROPN
iajs-2615	207	3	b	b	PROPN
iajs-2615	207	4	.	.	PUNCT
iajs-2615	208	1	it	it	PRON
iajs-2615	208	2	follows	follow	VERB
iajs-2615	208	3	that	that	SCONJ
iajs-2615	208	4	either	either	CCONJ
iajs-2615	208	5	t	t	PROPN
iajs-2615	208	6	(	(	PUNCT
iajs-2615	208	7	x	x	PROPN
iajs-2615	208	8	+	+	NUM
iajs-2615	208	9	b	b	NOUN
iajs-2615	208	10	)	)	PUNCT
iajs-2615	208	11			NOUN
iajs-2615	208	12	a	a	DET
iajs-2615	208	13	b	b	NOUN
iajs-2615	208	14	+	+	NUM
iajs-2615	208	15	b+soc	b+soc	NOUN
iajs-2615	208	16	(	(	PUNCT
iajs-2615	208	17	e	e	NOUN
iajs-2615	208	18	)	)	PUNCT
iajs-2615	208	19	b	b	PROPN
iajs-2615	208	20	or	or	CCONJ
iajs-2615	208	21	s	s	PROPN
iajs-2615	208	22	(	(	PUNCT
iajs-2615	208	23	t	t	PROPN
iajs-2615	208	24	+	+	CCONJ
iajs-2615	208	25	b	b	PROPN
iajs-2615	208	26	)	)	PUNCT
iajs-2615	208	27			PROPN
iajs-2615	208	28	a	a	DET
iajs-2615	208	29	b	b	NOUN
iajs-2615	209	1	+	+	NUM
iajs-2615	209	2	b+soc	b+soc	NOUN
iajs-2615	209	3	(	(	PUNCT
iajs-2615	209	4	e	e	NOUN
iajs-2615	209	5	)	)	PUNCT
iajs-2615	209	6	b	b	PROPN
iajs-2615	209	7	or	or	CCONJ
iajs-2615	209	8	t	t	NOUN
iajs-2615	209	9	s	s	PART
iajs-2615	209	10	e	e	X
iajs-2615	209	11	b	b	PROPN
iajs-2615	209	12			PROPN
iajs-2615	209	13	a	a	DET
iajs-2615	209	14	b	b	NOUN
iajs-2615	209	15	+	+	NUM
iajs-2615	209	16	b+soc	b+soc	NOUN
iajs-2615	209	17	(	(	PUNCT
iajs-2615	209	18	e	e	NOUN
iajs-2615	209	19	)	)	PUNCT
iajs-2615	209	20	b	b	PROPN
iajs-2615	209	21	.	.	PUNCT
iajs-2615	210	1	but	but	CCONJ
iajs-2615	210	2	b	b	X
iajs-2615	210	3			PROPN
iajs-2615	210	4	a	a	PRON
iajs-2615	210	5	,	,	PUNCT
iajs-2615	210	6	implies	imply	VERB
iajs-2615	210	7	that	that	SCONJ
iajs-2615	210	8	b	b	X
iajs-2615	210	9	+	+	NUM
iajs-2615	210	10	soc	soc	NOUN
iajs-2615	210	11	(	(	PUNCT
iajs-2615	210	12	e	e	NOUN
iajs-2615	210	13	)	)	PUNCT
iajs-2615	210	14			PROPN
iajs-2615	210	15	a	a	DET
iajs-2615	210	16	+	+	X
iajs-2615	210	17	soc	soc	NOUN
iajs-2615	210	18	(	(	PUNCT
iajs-2615	210	19	e	e	NOUN
iajs-2615	210	20	)	)	PUNCT
iajs-2615	210	21	,	,	PUNCT
iajs-2615	211	1	hence	hence	ADV
iajs-2615	211	2	a	a	DET
iajs-2615	211	3	b	b	NOUN
iajs-2615	211	4	+	+	NUM
iajs-2615	211	5	b+soc	b+soc	NOUN
iajs-2615	211	6	(	(	PUNCT
iajs-2615	211	7	e	e	NOUN
iajs-2615	211	8	)	)	PUNCT
iajs-2615	211	9	b	b	NOUN
iajs-2615	211	10			VERB
iajs-2615	211	11	a	a	DET
iajs-2615	211	12	b	b	NOUN
iajs-2615	211	13	+	+	CCONJ
iajs-2615	211	14	a	a	DET
iajs-2615	211	15	+	+	ADJ
iajs-2615	211	16	soc	soc	NOUN
iajs-2615	211	17	(	(	PUNCT
iajs-2615	211	18	e	e	NOUN
iajs-2615	211	19	)	)	PUNCT
iajs-2615	211	20	b	b	PROPN
iajs-2615	211	21	.	.	PUNCT
iajs-2615	212	1	since	since	SCONJ
iajs-2615	212	2	a	a	DET
iajs-2615	212	3	b	b	PROPN
iajs-2615	212	4			PROPN
iajs-2615	212	5	a	a	DET
iajs-2615	212	6	+	+	X
iajs-2615	212	7	soc	soc	NOUN
iajs-2615	212	8	(	(	PUNCT
iajs-2615	212	9	e	e	NOUN
iajs-2615	212	10	)	)	PUNCT
iajs-2615	212	11	b	b	PROPN
iajs-2615	212	12	implies	imply	VERB
iajs-2615	212	13	that	that	SCONJ
iajs-2615	212	14	a	a	DET
iajs-2615	212	15	b	b	NOUN
iajs-2615	212	16	+	+	CCONJ
iajs-2615	212	17	a	a	DET
iajs-2615	212	18	+	+	ADJ
iajs-2615	212	19	soc	soc	NOUN
iajs-2615	212	20	(	(	PUNCT
iajs-2615	212	21	e	e	NOUN
iajs-2615	212	22	)	)	PUNCT
iajs-2615	212	23	b	b	X
iajs-2615	212	24	=	=	PUNCT
iajs-2615	213	1	a	a	DET
iajs-2615	213	2	+	+	ADJ
iajs-2615	213	3	soc	soc	NOUN
iajs-2615	213	4	(	(	PUNCT
iajs-2615	213	5	e	e	NOUN
iajs-2615	213	6	)	)	PUNCT
iajs-2615	213	7	b	b	PROPN
iajs-2615	213	8	.	.	PUNCT
iajs-2615	214	1	that	that	PRON
iajs-2615	214	2	is	be	AUX
iajs-2615	214	3	either	either	DET
iajs-2615	214	4	t	t	PROPN
iajs-2615	214	5	(	(	PUNCT
iajs-2615	214	6	x	x	PROPN
iajs-2615	214	7	+	+	NUM
iajs-2615	214	8	b	b	NOUN
iajs-2615	214	9	)	)	PUNCT
iajs-2615	214	10			NOUN
iajs-2615	214	11	a	a	DET
iajs-2615	214	12	+	+	NOUN
iajs-2615	214	13	soc	soc	NOUN
iajs-2615	214	14	(	(	PUNCT
iajs-2615	214	15	e	e	NOUN
iajs-2615	214	16	)	)	PUNCT
iajs-2615	214	17	b	b	PROPN
iajs-2615	214	18	or	or	CCONJ
iajs-2615	214	19	s(x	s(x	PROPN
iajs-2615	214	20	+	+	CCONJ
iajs-2615	214	21	b	b	X
iajs-2615	214	22	)	)	PUNCT
iajs-2615	214	23			NOUN
iajs-2615	214	24	a	a	DET
iajs-2615	214	25	+	+	X
iajs-2615	214	26	soc	soc	NOUN
iajs-2615	214	27	(	(	PUNCT
iajs-2615	214	28	e	e	NOUN
iajs-2615	214	29	)	)	PUNCT
iajs-2615	214	30	b	b	PROPN
iajs-2615	214	31	,	,	PUNCT
iajs-2615	214	32	t	t	PROPN
iajs-2615	214	33	s	s	PROPN
iajs-2615	214	34	e	e	X
iajs-2615	214	35	b	b	PROPN
iajs-2615	214	36			PROPN
iajs-2615	214	37	a	a	DET
iajs-2615	214	38	+	+	X
iajs-2615	214	39	soc	soc	NOUN
iajs-2615	214	40	(	(	PUNCT
iajs-2615	214	41	e	e	NOUN
iajs-2615	214	42	)	)	PUNCT
iajs-2615	214	43	b	b	NOUN
iajs-2615	214	44	,	,	PUNCT
iajs-2615	214	45	it	it	PRON
iajs-2615	214	46	follows	follow	VERB
iajs-2615	214	47	that	that	SCONJ
iajs-2615	214	48	either	either	CCONJ
iajs-2615	214	49	tx	tx	VERB
iajs-2615	214	50			PROPN
iajs-2615	214	51	a	a	DET
iajs-2615	214	52	+	+	X
iajs-2615	214	53	soc	soc	NOUN
iajs-2615	214	54	(	(	PUNCT
iajs-2615	214	55	e	e	NOUN
iajs-2615	214	56	)	)	PUNCT
iajs-2615	214	57	or	or	CCONJ
iajs-2615	214	58	sx	sx	PROPN
iajs-2615	214	59			PROPN
iajs-2615	214	60	a	a	DET
iajs-2615	214	61	+	+	X
iajs-2615	214	62	soc	soc	NOUN
iajs-2615	214	63	(	(	PUNCT
iajs-2615	214	64	e	e	NOUN
iajs-2615	214	65	)	)	PUNCT
iajs-2615	214	66	or	or	CCONJ
iajs-2615	214	67	tse	tse	PROPN
iajs-2615	214	68			PROPN
iajs-2615	214	69	a	a	DET
iajs-2615	214	70	+	+	X
iajs-2615	214	71	soc	soc	NOUN
iajs-2615	214	72	(	(	PUNCT
iajs-2615	214	73	e	e	NOUN
iajs-2615	214	74	)	)	PUNCT
iajs-2615	214	75	.	.	PUNCT
iajs-2615	215	1	thus	thus	ADV
iajs-2615	215	2	a	a	PRON
iajs-2615	215	3	is	be	AUX
iajs-2615	215	4	wp	wp	NOUN
iajs-2615	215	5	–	–	PUNCT
iajs-2615	215	6	2	2	NUM
iajs-2615	215	7	–	–	PUNCT
iajs-2615	215	8	absorbing	absorb	VERB
iajs-2615	215	9	submodule	submodule	NOUN
iajs-2615	215	10	of	of	ADP
iajs-2615	215	11	e	e	PROPN
iajs-2615	215	12	.	.	PUNCT
iajs-2615	216	1	proposition	proposition	NOUN
iajs-2615	216	2	12	12	NUM
iajs-2615	216	3	.	.	PUNCT
iajs-2615	217	1	let	let	VERB
iajs-2615	217	2	a	a	PRON
iajs-2615	217	3	be	be	AUX
iajs-2615	217	4	a	a	DET
iajs-2615	217	5	proper	proper	ADJ
iajs-2615	217	6	submodule	submodule	NOUN
iajs-2615	217	7	of	of	ADP
iajs-2615	217	8	an	an	DET
iajs-2615	217	9	r	r	NOUN
iajs-2615	217	10	–	–	PUNCT
iajs-2615	217	11	module	module	NOUN
iajs-2615	217	12	e	e	NOUN
iajs-2615	217	13	with	with	ADP
iajs-2615	217	14	soc	soc	NOUN
iajs-2615	217	15	(	(	PUNCT
iajs-2615	217	16	e	e	NOUN
iajs-2615	217	17	)	)	PUNCT
iajs-2615	217	18			PROPN
iajs-2615	217	19	a.	a.	NOUN
iajs-2615	217	20	then	then	ADV
iajs-2615	217	21	a	a	PRON
iajs-2615	217	22	is	be	AUX
iajs-2615	217	23	a	a	DET
iajs-2615	217	24	wp	wp	NOUN
iajs-2615	217	25	–	–	PUNCT
iajs-2615	217	26	2	2	NUM
iajs-2615	217	27	–	–	PUNCT
iajs-2615	217	28	absorbing	absorb	VERB
iajs-2615	217	29	submodule	submodule	NOUN
iajs-2615	217	30	of	of	ADP
iajs-2615	217	31	e	e	NOUN
iajs-2615	218	1	so	so	ADV
iajs-2615	218	2	if	if	SCONJ
iajs-2615	218	3	and	and	CCONJ
iajs-2615	218	4	only	only	ADV
iajs-2615	218	5	if	if	SCONJ
iajs-2615	218	6	[	[	PUNCT
iajs-2615	218	7	a	a	X
iajs-2615	218	8	:	:	PUNCT
iajs-2615	218	9	e	e	X
iajs-2615	218	10	i	i	PROPN
iajs-2615	218	11	]	]	PUNCT
iajs-2615	218	12	is	be	AUX
iajs-2615	218	13	a	a	DET
iajs-2615	218	14	wp	wp	NOUN
iajs-2615	218	15	–	–	PUNCT
iajs-2615	218	16	2	2	NUM
iajs-2615	218	17	–	–	PUNCT
iajs-2615	218	18	absorbing	absorb	VERB
iajs-2615	218	19	submodule	submodule	NOUN
iajs-2615	218	20	of	of	ADP
iajs-2615	218	21	e	e	PROPN
iajs-2615	218	22	for	for	ADP
iajs-2615	218	23	each	each	DET
iajs-2615	218	24	ideal	ideal	NOUN
iajs-2615	218	25	i	i	PRON
iajs-2615	218	26	of	of	ADP
iajs-2615	218	27	r	r	NOUN
iajs-2615	218	28	.	.	PUNCT
iajs-2615	219	1	proof	proof	NOUN
iajs-2615	219	2	:	:	PUNCT
iajs-2615	219	3	(	(	PUNCT
iajs-2615	219	4			NOUN
iajs-2615	219	5	)	)	PUNCT
iajs-2615	219	6	let	let	VERB
iajs-2615	219	7	(	(	PUNCT
iajs-2615	219	8	0	0	NUM
iajs-2615	219	9	)	)	PUNCT
iajs-2615	219	10	≠	≠	PROPN
iajs-2615	219	11	tsb	tsb	VERB
iajs-2615	219	12			NOUN
iajs-2615	219	13	[	[	PUNCT
iajs-2615	219	14	a	a	X
iajs-2615	219	15	:	:	PUNCT
iajs-2615	219	16	e	e	X
iajs-2615	219	17	i	i	X
iajs-2615	219	18	]	]	PUNCT
iajs-2615	219	19	for	for	ADP
iajs-2615	219	20	t	t	PROPN
iajs-2615	219	21	,	,	PUNCT
iajs-2615	219	22	s	s	PART
iajs-2615	219	23			PROPN
iajs-2615	219	24	r	r	NOUN
iajs-2615	219	25	,	,	PUNCT
iajs-2615	219	26	b	b	PROPN
iajs-2615	219	27	is	be	AUX
iajs-2615	219	28	a	a	DET
iajs-2615	219	29	submodule	submodule	NOUN
iajs-2615	219	30	of	of	ADP
iajs-2615	219	31	e	e	PROPN
iajs-2615	219	32	,	,	PUNCT
iajs-2615	219	33	then	then	ADV
iajs-2615	219	34	(	(	PUNCT
iajs-2615	219	35	0	0	X
iajs-2615	219	36	)	)	PUNCT
iajs-2615	219	37	≠	≠	PROPN
iajs-2615	219	38	tsib	tsib	NOUN
iajs-2615	219	39			PROPN
iajs-2615	219	40	a	a	PRON
iajs-2615	219	41	,	,	PUNCT
iajs-2615	219	42	implies	imply	VERB
iajs-2615	219	43	that	that	SCONJ
iajs-2615	219	44	either	either	CCONJ
iajs-2615	219	45	tib	tib	PROPN
iajs-2615	219	46			PROPN
iajs-2615	219	47	a	a	DET
iajs-2615	219	48	+	+	X
iajs-2615	219	49	soc	soc	NOUN
iajs-2615	219	50	(	(	PUNCT
iajs-2615	219	51	e	e	NOUN
iajs-2615	219	52	)	)	PUNCT
iajs-2615	219	53	or	or	CCONJ
iajs-2615	219	54	sib	sib	NOUN
iajs-2615	219	55			PROPN
iajs-2615	219	56	a	a	DET
iajs-2615	219	57	+	+	X
iajs-2615	219	58	soc	soc	NOUN
iajs-2615	219	59	(	(	PUNCT
iajs-2615	219	60	e	e	NOUN
iajs-2615	219	61	)	)	PUNCT
iajs-2615	219	62	or	or	CCONJ
iajs-2615	219	63	tse	tse	PROPN
iajs-2615	219	64			PROPN
iajs-2615	219	65	a	a	DET
iajs-2615	219	66	+	+	X
iajs-2615	219	67	soc	soc	NOUN
iajs-2615	219	68	(	(	PUNCT
iajs-2615	219	69	e	e	NOUN
iajs-2615	219	70	)	)	PUNCT
iajs-2615	219	71	.	.	PUNCT
iajs-2615	220	1	but	but	CCONJ
iajs-2615	220	2	soc	soc	NOUN
iajs-2615	220	3	(	(	PUNCT
iajs-2615	220	4	e	e	NOUN
iajs-2615	220	5	)	)	PUNCT
iajs-2615	220	6			PROPN
iajs-2615	220	7	a	a	PRON
iajs-2615	220	8	,	,	PUNCT
iajs-2615	220	9	then	then	ADV
iajs-2615	220	10	a	a	DET
iajs-2615	220	11	+	+	ADJ
iajs-2615	220	12	soc	soc	NOUN
iajs-2615	220	13	(	(	PUNCT
iajs-2615	220	14	e	e	NOUN
iajs-2615	220	15	)	)	PUNCT
iajs-2615	220	16	=	=	SYM
iajs-2615	221	1	a	a	PRON
iajs-2615	221	2	.	.	PUNCT
iajs-2615	222	1	that	that	PRON
iajs-2615	222	2	is	be	AUX
iajs-2615	222	3	either	either	CCONJ
iajs-2615	222	4	tib	tib	PROPN
iajs-2615	222	5			PROPN
iajs-2615	222	6	a	a	PRON
iajs-2615	222	7	or	or	CCONJ
iajs-2615	222	8	sib	sib	NOUN
iajs-2615	222	9			PROPN
iajs-2615	222	10	a	a	PRON
iajs-2615	222	11	or	or	CCONJ
iajs-2615	222	12	tse	tse	PROPN
iajs-2615	222	13			PROPN
iajs-2615	222	14	a.	a.	PROPN
iajs-2615	222	15	thus	thus	ADV
iajs-2615	222	16	,	,	PUNCT
iajs-2615	222	17	either	either	CCONJ
iajs-2615	222	18	tb	tb	ADP
iajs-2615	222	19			PROPN
iajs-2615	222	20	[	[	PUNCT
iajs-2615	222	21	a	a	X
iajs-2615	222	22	:	:	PUNCT
iajs-2615	222	23	e	e	X
iajs-2615	222	24	i	i	PRON
iajs-2615	222	25	]	]	PUNCT
iajs-2615	222	26	or	or	CCONJ
iajs-2615	222	27	sb	sb	PROPN
iajs-2615	222	28			PROPN
iajs-2615	222	29	[	[	PUNCT
iajs-2615	222	30	a	a	X
iajs-2615	222	31	:	:	PUNCT
iajs-2615	222	32	e	e	X
iajs-2615	222	33	i	i	PROPN
iajs-2615	222	34	]	]	PUNCT
iajs-2615	222	35	or	or	CCONJ
iajs-2615	222	36	tse	tse	PROPN
iajs-2615	222	37			PROPN
iajs-2615	222	38	a	a	DET
iajs-2615	222	39			PROPN
iajs-2615	222	40	[	[	PUNCT
iajs-2615	222	41	a	a	X
iajs-2615	222	42	:	:	PUNCT
iajs-2615	222	43	e	e	X
iajs-2615	222	44	i	i	NOUN
iajs-2615	222	45	]	]	PUNCT
iajs-2615	222	46	.	.	PUNCT
iajs-2615	223	1	it	it	PRON
iajs-2615	223	2	follows	follow	VERB
iajs-2615	223	3	that	that	SCONJ
iajs-2615	223	4	either	either	CCONJ
iajs-2615	223	5	tb	tb	ADP
iajs-2615	223	6			PROPN
iajs-2615	223	7	[	[	PUNCT
iajs-2615	223	8	a	a	X
iajs-2615	223	9	:	:	PUNCT
iajs-2615	223	10	e	e	X
iajs-2615	223	11	i	i	PRON
iajs-2615	223	12	]	]	X
iajs-2615	223	13			PROPN
iajs-2615	223	14	[	[	PUNCT
iajs-2615	223	15	a	a	X
iajs-2615	223	16	:	:	PUNCT
iajs-2615	223	17	e	e	X
iajs-2615	223	18	i	i	PRON
iajs-2615	223	19	]	]	PUNCT
iajs-2615	224	1	+	+	CCONJ
iajs-2615	224	2	soc	soc	NOUN
iajs-2615	224	3	(	(	PUNCT
iajs-2615	224	4	e	e	NOUN
iajs-2615	224	5	)	)	PUNCT
iajs-2615	224	6	or	or	CCONJ
iajs-2615	224	7	sb	sb	PROPN
iajs-2615	224	8			PROPN
iajs-2615	224	9	[	[	PUNCT
iajs-2615	224	10	a	a	X
iajs-2615	224	11	:	:	PUNCT
iajs-2615	224	12	e	e	X
iajs-2615	224	13	i	i	PRON
iajs-2615	224	14	]	]	X
iajs-2615	224	15			PROPN
iajs-2615	224	16	[	[	PUNCT
iajs-2615	224	17	a	a	X
iajs-2615	224	18	:	:	PUNCT
iajs-2615	224	19	e	e	X
iajs-2615	224	20	i	i	PRON
iajs-2615	224	21	]	]	PUNCT
iajs-2615	224	22	+	+	CCONJ
iajs-2615	224	23	soc	soc	NOUN
iajs-2615	224	24	(	(	PUNCT
iajs-2615	224	25	e	e	NOUN
iajs-2615	224	26	)	)	PUNCT
iajs-2615	224	27	or	or	CCONJ
iajs-2615	224	28	tse	tse	PROPN
iajs-2615	224	29			PROPN
iajs-2615	224	30	[	[	PUNCT
iajs-2615	224	31	a	a	X
iajs-2615	224	32	:	:	PUNCT
iajs-2615	224	33	e	e	X
iajs-2615	224	34	i	i	PRON
iajs-2615	224	35	]	]	X
iajs-2615	224	36			PROPN
iajs-2615	224	37	[	[	PUNCT
iajs-2615	224	38	a	a	X
iajs-2615	224	39	:	:	PUNCT
iajs-2615	224	40	e	e	X
iajs-2615	224	41	i	i	PRON
iajs-2615	224	42	]	]	PUNCT
iajs-2615	224	43	+	+	CCONJ
iajs-2615	224	44	soc	soc	NOUN
iajs-2615	224	45	(	(	PUNCT
iajs-2615	224	46	e	e	NOUN
iajs-2615	224	47	)	)	PUNCT
iajs-2615	224	48	.	.	PUNCT
iajs-2615	225	1	hence	hence	ADV
iajs-2615	225	2	,	,	PUNCT
iajs-2615	225	3	[	[	PUNCT
iajs-2615	225	4	a	a	X
iajs-2615	225	5	:	:	PUNCT
iajs-2615	225	6	e	e	X
iajs-2615	225	7	i	i	PROPN
iajs-2615	225	8	]	]	X
iajs-2615	225	9	is	be	AUX
iajs-2615	225	10	a	a	DET
iajs-2615	225	11	wp	wp	NOUN
iajs-2615	225	12	–	–	PUNCT
iajs-2615	225	13	2	2	NUM
iajs-2615	225	14	–	–	PUNCT
iajs-2615	225	15	absorbing	absorb	VERB
iajs-2615	225	16	submodule	submodule	NOUN
iajs-2615	225	17	of	of	ADP
iajs-2615	225	18	e	e	PROPN
iajs-2615	225	19	.	.	PUNCT
iajs-2615	226	1	(	(	PUNCT
iajs-2615	226	2			PROPN
iajs-2615	226	3	)	)	PUNCT
iajs-2615	226	4	since	since	SCONJ
iajs-2615	226	5	[	[	PUNCT
iajs-2615	226	6	a	a	X
iajs-2615	226	7	:	:	PUNCT
iajs-2615	226	8	e	e	X
iajs-2615	226	9	i	i	PROPN
iajs-2615	226	10	]	]	PUNCT
iajs-2615	226	11	is	be	AUX
iajs-2615	226	12	a	a	DET
iajs-2615	226	13	wp	wp	NOUN
iajs-2615	226	14	–	–	PUNCT
iajs-2615	226	15	2	2	NUM
iajs-2615	226	16	–	–	PUNCT
iajs-2615	226	17	absorbing	absorb	VERB
iajs-2615	226	18	subodule	subodule	NOUN
iajs-2615	226	19	for	for	ADP
iajs-2615	226	20	every	every	DET
iajs-2615	226	21	non	non	ADJ
iajs-2615	226	22	zero	zero	NUM
iajs-2615	226	23	ideal	ideal	NOUN
iajs-2615	226	24	i	i	PRON
iajs-2615	226	25	of	of	ADP
iajs-2615	226	26	r	r	NOUN
iajs-2615	226	27	.	.	PUNCT
iajs-2615	227	1	put	put	VERB
iajs-2615	227	2	i	i	NOUN
iajs-2615	228	1	=	=	NOUN
iajs-2615	228	2	r	r	NOUN
iajs-2615	228	3	,	,	PUNCT
iajs-2615	228	4	we	we	PRON
iajs-2615	228	5	get	get	VERB
iajs-2615	228	6	[	[	PUNCT
iajs-2615	228	7	a	a	PRON
iajs-2615	228	8	:	:	PUNCT
iajs-2615	228	9	e	e	NOUN
iajs-2615	228	10	r	r	NOUN
iajs-2615	228	11	]	]	PUNCT
iajs-2615	228	12	=	=	X
iajs-2615	228	13	a	a	PRON
iajs-2615	228	14	is	be	AUX
iajs-2615	228	15	a	a	DET
iajs-2615	228	16	wp	wp	NOUN
iajs-2615	228	17	–	–	PUNCT
iajs-2615	228	18	2	2	NUM
iajs-2615	228	19	–	–	PUNCT
iajs-2615	228	20	absorbing	absorb	VERB
iajs-2615	228	21	submodule	submodule	NOUN
iajs-2615	228	22	of	of	ADP
iajs-2615	228	23	e	e	PROPN
iajs-2615	228	24	.	.	PUNCT
iajs-2615	229	1	we	we	PRON
iajs-2615	229	2	need	need	VERB
iajs-2615	229	3	to	to	PART
iajs-2615	229	4	introduce	introduce	VERB
iajs-2615	229	5	the	the	DET
iajs-2615	229	6	following	following	ADJ
iajs-2615	229	7	definition	definition	NOUN
iajs-2615	229	8	.	.	PUNCT
iajs-2615	230	1	definition	definition	NOUN
iajs-2615	230	2	13	13	NUM
iajs-2615	230	3	.	.	PUNCT
iajs-2615	231	1	let	let	VERB
iajs-2615	231	2	a	a	DET
iajs-2615	231	3	be	be	AUX
iajs-2615	231	4	a	a	DET
iajs-2615	231	5	wp	wp	NOUN
iajs-2615	231	6	–	–	PUNCT
iajs-2615	231	7	2	2	NUM
iajs-2615	231	8	–	–	PUNCT
iajs-2615	231	9	absorbing	absorb	VERB
iajs-2615	231	10	submodule	submodule	NOUN
iajs-2615	231	11	of	of	ADP
iajs-2615	231	12	an	an	DET
iajs-2615	231	13	r	r	NOUN
iajs-2615	231	14	–	–	PUNCT
iajs-2615	231	15	module	module	NOUN
iajs-2615	231	16	e	e	NOUN
iajs-2615	231	17	and	and	CCONJ
iajs-2615	231	18	r	r	PROPN
iajs-2615	231	19	,	,	PUNCT
iajs-2615	231	20	s	s	PART
iajs-2615	231	21			PROPN
iajs-2615	231	22	r	r	NOUN
iajs-2615	231	23	,	,	PUNCT
iajs-2615	231	24	e	e	X
iajs-2615	231	25			PROPN
iajs-2615	231	26	e	e	X
iajs-2615	231	27	,	,	PUNCT
iajs-2615	231	28	we	we	PRON
iajs-2615	231	29	say	say	VERB
iajs-2615	231	30	that	that	SCONJ
iajs-2615	231	31	(	(	PUNCT
iajs-2615	231	32	r	r	NOUN
iajs-2615	231	33	,	,	PUNCT
iajs-2615	231	34	s	s	PART
iajs-2615	231	35	,	,	PUNCT
iajs-2615	231	36	e	e	NOUN
iajs-2615	231	37	)	)	PUNCT
iajs-2615	231	38	is	be	AUX
iajs-2615	231	39	wp	wp	PROPN
iajs-2615	231	40	–	–	PUNCT
iajs-2615	231	41	triple	triple	ADJ
iajs-2615	231	42	zero	zero	NUM
iajs-2615	231	43	of	of	ADP
iajs-2615	231	44	a	a	DET
iajs-2615	231	45	if	if	SCONJ
iajs-2615	231	46	rse	rse	ADJ
iajs-2615	231	47	=	=	SYM
iajs-2615	231	48	0	0	NUM
iajs-2615	231	49	,	,	PUNCT
iajs-2615	231	50	re	re	ADP
iajs-2615	231	51			VERB
iajs-2615	231	52	a	a	DET
iajs-2615	231	53	+	+	X
iajs-2615	231	54	soc	soc	NOUN
iajs-2615	231	55	(	(	PUNCT
iajs-2615	231	56	e	e	NOUN
iajs-2615	231	57	)	)	PUNCT
iajs-2615	231	58	,	,	PUNCT
iajs-2615	231	59	se	se	X
iajs-2615	231	60			VERB
iajs-2615	231	61	a	a	DET
iajs-2615	231	62	+	+	X
iajs-2615	231	63	soc	soc	NOUN
iajs-2615	231	64	(	(	PUNCT
iajs-2615	231	65	e	e	NOUN
iajs-2615	231	66	)	)	PUNCT
iajs-2615	231	67	and	and	CCONJ
iajs-2615	231	68	rs	rs	INTJ
iajs-2615	231	69			PUNCT
iajs-2615	232	1	[	[	X
iajs-2615	232	2	a	a	DET
iajs-2615	232	3	+	+	X
iajs-2615	232	4	soc	soc	NOUN
iajs-2615	232	5	(	(	PUNCT
iajs-2615	232	6	e	e	NOUN
iajs-2615	232	7	)	)	PUNCT
iajs-2615	232	8	:	:	PUNCT
iajs-2615	232	9	r	r	NOUN
iajs-2615	232	10	e	e	NOUN
iajs-2615	232	11	]	]	PUNCT
iajs-2615	232	12	.	.	PUNCT
iajs-2615	233	1	proposition	proposition	NOUN
iajs-2615	233	2	14	14	NUM
iajs-2615	233	3	.	.	PUNCT
iajs-2615	234	1	if	if	SCONJ
iajs-2615	234	2	a	a	PRON
iajs-2615	234	3	is	be	AUX
iajs-2615	234	4	a	a	DET
iajs-2615	234	5	wp	wp	NOUN
iajs-2615	234	6	–	–	PUNCT
iajs-2615	234	7	2	2	NUM
iajs-2615	234	8	–	–	PUNCT
iajs-2615	234	9	absorbing	absorb	VERB
iajs-2615	234	10	submodule	submodule	NOUN
iajs-2615	234	11	of	of	ADP
iajs-2615	234	12	e	e	PROPN
iajs-2615	234	13	with	with	ADP
iajs-2615	234	14	(	(	PUNCT
iajs-2615	234	15	r	r	NOUN
iajs-2615	234	16	,	,	PUNCT
iajs-2615	234	17	s	s	PART
iajs-2615	234	18	,	,	PUNCT
iajs-2615	234	19	e	e	NOUN
iajs-2615	234	20	)	)	PUNCT
iajs-2615	234	21	is	be	AUX
iajs-2615	234	22	a	a	DET
iajs-2615	234	23	wp	wp	NOUN
iajs-2615	234	24	–	–	PUNCT
iajs-2615	234	25	trible	trible	ADJ
iajs-2615	234	26	zero	zero	NUM
iajs-2615	234	27	of	of	ADP
iajs-2615	234	28	a	a	PRON
iajs-2615	234	29	for	for	ADP
iajs-2615	234	30	some	some	PRON
iajs-2615	234	31	r	r	NOUN
iajs-2615	234	32	,	,	PUNCT
iajs-2615	234	33	s	s	PART
iajs-2615	234	34			PROPN
iajs-2615	234	35	r	r	NOUN
iajs-2615	234	36	,	,	PUNCT
iajs-2615	234	37	e	e	X
iajs-2615	234	38			PROPN
iajs-2615	234	39	e	e	X
iajs-2615	234	40	.	.	PUNCT
iajs-2615	235	1	then	then	ADV
iajs-2615	235	2	rsa	rsa	PROPN
iajs-2615	235	3	=	=	SYM
iajs-2615	235	4	(	(	PUNCT
iajs-2615	235	5	0	0	NUM
iajs-2615	235	6	)	)	PUNCT
iajs-2615	235	7	.	.	PUNCT
iajs-2615	236	1	proof	proof	NOUN
iajs-2615	236	2	:	:	PUNCT
iajs-2615	236	3	suppose	suppose	VERB
iajs-2615	236	4	rsa	rsa	PROPN
iajs-2615	236	5	≠	≠	PROPN
iajs-2615	236	6	(	(	PUNCT
iajs-2615	236	7	0	0	NUM
iajs-2615	236	8	)	)	PUNCT
iajs-2615	236	9	,	,	PUNCT
iajs-2615	236	10	then	then	ADV
iajs-2615	236	11	rsa	rsa	PROPN
iajs-2615	236	12	≠	≠	PROPN
iajs-2615	236	13	0	0	NUM
iajs-2615	236	14	for	for	ADP
iajs-2615	236	15	some	some	PRON
iajs-2615	236	16	a	a	DET
iajs-2615	236	17			NOUN
iajs-2615	236	18	a.	a.	NOUN
iajs-2615	236	19	since	since	SCONJ
iajs-2615	236	20	(	(	PUNCT
iajs-2615	236	21	r	r	NOUN
iajs-2615	236	22	,	,	PUNCT
iajs-2615	236	23	s	s	PART
iajs-2615	236	24	,	,	PUNCT
iajs-2615	236	25	e	e	NOUN
iajs-2615	236	26	)	)	PUNCT
iajs-2615	236	27	is	be	AUX
iajs-2615	236	28	a	a	DET
iajs-2615	236	29	wp	wp	NOUN
iajs-2615	236	30	–	–	PUNCT
iajs-2615	236	31	triple	triple	NOUN
iajs-2615	236	32	zero	zero	NUM
iajs-2615	236	33	of	of	ADP
iajs-2615	236	34	a	a	DET
iajs-2615	236	35	then	then	ADV
iajs-2615	236	36	rse	rse	ADJ
iajs-2615	236	37	=	=	SYM
iajs-2615	236	38	0	0	NUM
iajs-2615	236	39	,	,	PUNCT
iajs-2615	236	40	re	re	ADP
iajs-2615	236	41			VERB
iajs-2615	236	42	a	a	DET
iajs-2615	236	43	+	+	X
iajs-2615	236	44	soc	soc	NOUN
iajs-2615	236	45	(	(	PUNCT
iajs-2615	236	46	e	e	NOUN
iajs-2615	236	47	)	)	PUNCT
iajs-2615	236	48	,	,	PUNCT
iajs-2615	236	49	se	se	X
iajs-2615	236	50			VERB
iajs-2615	236	51	a	a	DET
iajs-2615	236	52	+	+	X
iajs-2615	236	53	soc	soc	NOUN
iajs-2615	236	54	(	(	PUNCT
iajs-2615	236	55	e	e	NOUN
iajs-2615	236	56	)	)	PUNCT
iajs-2615	236	57	and	and	CCONJ
iajs-2615	236	58	rs	rs	INTJ
iajs-2615	236	59			PUNCT
iajs-2615	237	1	[	[	X
iajs-2615	237	2	a	a	DET
iajs-2615	237	3	+	+	X
iajs-2615	237	4	soc	soc	NOUN
iajs-2615	237	5	(	(	PUNCT
iajs-2615	237	6	e	e	NOUN
iajs-2615	237	7	)	)	PUNCT
iajs-2615	237	8	:	:	PUNCT
iajs-2615	237	9	r	r	NOUN
iajs-2615	237	10	e	e	NOUN
iajs-2615	237	11	]	]	X
iajs-2615	237	12	.	.	PUNCT
iajs-2615	238	1	since	since	SCONJ
iajs-2615	238	2	0	0	NUM
iajs-2615	238	3	≠	≠	PROPN
iajs-2615	238	4	rsa	rsa	PROPN
iajs-2615	238	5			NOUN
iajs-2615	238	6	a	a	PRON
iajs-2615	238	7	and	and	CCONJ
iajs-2615	238	8	a	a	PRON
iajs-2615	238	9	is	be	AUX
iajs-2615	238	10	a	a	DET
iajs-2615	238	11	wp	wp	NOUN
iajs-2615	238	12	–	–	PUNCT
iajs-2615	238	13	2	2	NUM
iajs-2615	238	14	–	–	PUNCT
iajs-2615	238	15	absorbing	absorb	VERB
iajs-2615	238	16	submodule	submodule	NOUN
iajs-2615	238	17	of	of	ADP
iajs-2615	238	18	e	e	PROPN
iajs-2615	238	19	and	and	CCONJ
iajs-2615	238	20	rs	rs	ADJ
iajs-2615	239	1			PUNCT
iajs-2615	240	1	[	[	X
iajs-2615	240	2	a	a	DET
iajs-2615	240	3	+	+	X
iajs-2615	240	4	soc	soc	NOUN
iajs-2615	240	5	(	(	PUNCT
iajs-2615	240	6	e	e	NOUN
iajs-2615	240	7	)	)	PUNCT
iajs-2615	240	8	:	:	PUNCT
iajs-2615	240	9	r	r	NOUN
iajs-2615	240	10	e	e	NOUN
iajs-2615	240	11	]	]	X
iajs-2615	240	12	,	,	PUNCT
iajs-2615	240	13	then	then	ADV
iajs-2615	240	14	either	either	CCONJ
iajs-2615	240	15	ra	ra	NOUN
iajs-2615	241	1	a	a	DET
iajs-2615	241	2	+	+	NUM
iajs-2615	241	3	soc	soc	NOUN
iajs-2615	241	4	(	(	PUNCT
iajs-2615	241	5	e	e	NOUN
iajs-2615	241	6	)	)	PUNCT
iajs-2615	241	7	or	or	CCONJ
iajs-2615	241	8	sa	sa	VERB
iajs-2615	241	9			PROPN
iajs-2615	241	10	a	a	DET
iajs-2615	241	11	+	+	X
iajs-2615	241	12	soc	soc	NOUN
iajs-2615	241	13	(	(	PUNCT
iajs-2615	241	14	e	e	NOUN
iajs-2615	241	15	)	)	PUNCT
iajs-2615	241	16	.	.	PUNCT
iajs-2615	242	1	94	94	NUM
iajs-2615	243	1	ibn	ibn	PROPN
iajs-2615	243	2	al	al	PROPN
iajs-2615	243	3	-	-	PUNCT
iajs-2615	243	4	haitham	haitham	PROPN
iajs-2615	243	5	jour	jour	X
iajs-2615	243	6	.	.	PROPN
iajs-2615	243	7	for	for	ADP
iajs-2615	243	8	pure	pure	ADJ
iajs-2615	243	9	&	&	CCONJ
iajs-2615	243	10	appl	appl	PROPN
iajs-2615	243	11	.	.	PUNCT
iajs-2615	244	1	sci	sci	PROPN
iajs-2615	244	2	.	.	PROPN
iajs-2615	245	1	34	34	NUM
iajs-2615	245	2	(	(	PUNCT
iajs-2615	245	3	2	2	NUM
iajs-2615	245	4	)	)	PUNCT
iajs-2615	245	5	2021	2021	NUM
iajs-2615	245	6	now	now	ADV
iajs-2615	245	7	,	,	PUNCT
iajs-2615	245	8	0	0	NUM
iajs-2615	245	9	≠	≠	ADJ
iajs-2615	245	10	rs	rs	NOUN
iajs-2615	245	11	(	(	PUNCT
iajs-2615	245	12	e	e	NOUN
iajs-2615	245	13	+	+	NOUN
iajs-2615	245	14	a	a	X
iajs-2615	245	15	)	)	PUNCT
iajs-2615	245	16	=	=	SYM
iajs-2615	245	17	rse	rse	ADJ
iajs-2615	245	18	+	+	CCONJ
iajs-2615	245	19	rsa	rsa	NOUN
iajs-2615	245	20	=	=	PROPN
iajs-2615	245	21	rsa	rsa	PROPN
iajs-2615	245	22			NOUN
iajs-2615	245	23	a	a	PRON
iajs-2615	245	24	,	,	PUNCT
iajs-2615	245	25	and	and	CCONJ
iajs-2615	245	26	rs	rs	ADJ
iajs-2615	245	27			PUNCT
iajs-2615	246	1	[	[	X
iajs-2615	246	2	a	a	DET
iajs-2615	246	3	+	+	X
iajs-2615	246	4	soc	soc	NOUN
iajs-2615	246	5	(	(	PUNCT
iajs-2615	246	6	e	e	NOUN
iajs-2615	246	7	)	)	PUNCT
iajs-2615	246	8	:	:	PUNCT
iajs-2615	246	9	r	r	NOUN
iajs-2615	246	10	e	e	NOUN
iajs-2615	246	11	]	]	X
iajs-2615	246	12	,	,	PUNCT
iajs-2615	246	13	then	then	ADV
iajs-2615	246	14	either	either	CCONJ
iajs-2615	246	15	r	r	NOUN
iajs-2615	246	16	(	(	PUNCT
iajs-2615	246	17	e	e	NOUN
iajs-2615	246	18	+	+	NOUN
iajs-2615	246	19	a	a	X
iajs-2615	246	20	)	)	PUNCT
iajs-2615	246	21	=	=	SYM
iajs-2615	246	22	re	re	ADP
iajs-2615	246	23	+	+	NOUN
iajs-2615	246	24	ra	ra	PROPN
iajs-2615	246	25			NOUN
iajs-2615	246	26	a	a	DET
iajs-2615	246	27	+	+	X
iajs-2615	246	28	soc	soc	NOUN
iajs-2615	246	29	(	(	PUNCT
iajs-2615	246	30	e	e	NOUN
iajs-2615	246	31	)	)	PUNCT
iajs-2615	246	32	or	or	CCONJ
iajs-2615	246	33	s	s	PROPN
iajs-2615	246	34	(	(	PUNCT
iajs-2615	246	35	e	e	NOUN
iajs-2615	246	36	+	+	NOUN
iajs-2615	246	37	a	a	X
iajs-2615	246	38	)	)	PUNCT
iajs-2615	246	39	=	=	PUNCT
iajs-2615	246	40	se	se	PROPN
iajs-2615	246	41	+	+	PROPN
iajs-2615	246	42	sa	sa	PROPN
iajs-2615	246	43			NOUN
iajs-2615	246	44	a	a	DET
iajs-2615	246	45	+	+	X
iajs-2615	246	46	soc	soc	NOUN
iajs-2615	246	47	(	(	PUNCT
iajs-2615	246	48	e	e	NOUN
iajs-2615	246	49	)	)	PUNCT
iajs-2615	246	50	.	.	PUNCT
iajs-2615	247	1	if	if	SCONJ
iajs-2615	247	2	re	re	ADP
iajs-2615	247	3	+	+	NOUN
iajs-2615	247	4	sa	sa	ADP
iajs-2615	247	5			NOUN
iajs-2615	247	6	a	a	DET
iajs-2615	247	7	+	+	X
iajs-2615	247	8	soc	soc	NOUN
iajs-2615	247	9	(	(	PUNCT
iajs-2615	247	10	e	e	NOUN
iajs-2615	247	11	)	)	PUNCT
iajs-2615	247	12	and	and	CCONJ
iajs-2615	247	13	ra	ra	PROPN
iajs-2615	247	14			NOUN
iajs-2615	247	15	a	a	DET
iajs-2615	247	16	+	+	X
iajs-2615	247	17	soc	soc	NOUN
iajs-2615	247	18	(	(	PUNCT
iajs-2615	247	19	e	e	NOUN
iajs-2615	247	20	)	)	PUNCT
iajs-2615	247	21	implies	imply	VERB
iajs-2615	247	22	that	that	SCONJ
iajs-2615	247	23	re	re	ADP
iajs-2615	247	24			NOUN
iajs-2615	247	25	a	a	DET
iajs-2615	247	26	+	+	X
iajs-2615	247	27	soc	soc	NOUN
iajs-2615	247	28	(	(	PUNCT
iajs-2615	247	29	e	e	NOUN
iajs-2615	247	30	)	)	PUNCT
iajs-2615	247	31	contradiction	contradiction	NOUN
iajs-2615	247	32	.	.	PUNCT
iajs-2615	248	1	if	if	SCONJ
iajs-2615	248	2	se	se	PROPN
iajs-2615	248	3	+	+	CCONJ
iajs-2615	248	4	sa	sa	X
iajs-2615	248	5			NOUN
iajs-2615	248	6	a	a	DET
iajs-2615	248	7	+	+	X
iajs-2615	248	8	soc	soc	NOUN
iajs-2615	248	9	(	(	PUNCT
iajs-2615	248	10	e	e	NOUN
iajs-2615	248	11	)	)	PUNCT
iajs-2615	248	12	and	and	CCONJ
iajs-2615	248	13	sa	sa	VERB
iajs-2615	248	14			PROPN
iajs-2615	248	15	a	a	DET
iajs-2615	248	16	+	+	X
iajs-2615	248	17	soc	soc	NOUN
iajs-2615	248	18	(	(	PUNCT
iajs-2615	248	19	e	e	NOUN
iajs-2615	248	20	)	)	PUNCT
iajs-2615	248	21	,	,	PUNCT
iajs-2615	248	22	implies	imply	VERB
iajs-2615	248	23	that	that	PRON
iajs-2615	248	24	se	se	VERB
iajs-2615	248	25	a	a	DET
iajs-2615	248	26	+	+	NOUN
iajs-2615	248	27	soc	soc	NOUN
iajs-2615	248	28	(	(	PUNCT
iajs-2615	248	29	e	e	NOUN
iajs-2615	248	30	)	)	PUNCT
iajs-2615	248	31	contradiction	contradiction	NOUN
iajs-2615	248	32	.	.	PUNCT
iajs-2615	249	1	hence	hence	ADV
iajs-2615	249	2	,	,	PUNCT
iajs-2615	249	3	rsa	rsa	PROPN
iajs-2615	249	4	=	=	SYM
iajs-2615	249	5	(	(	PUNCT
iajs-2615	249	6	0	0	NUM
iajs-2615	249	7	)	)	PUNCT
iajs-2615	249	8	.	.	PUNCT
iajs-2615	250	1	proposition	proposition	NOUN
iajs-2615	250	2	15	15	NUM
iajs-2615	250	3	.	.	PUNCT
iajs-2615	251	1	if	if	SCONJ
iajs-2615	251	2	a	a	PRON
iajs-2615	251	3	is	be	AUX
iajs-2615	251	4	a	a	DET
iajs-2615	251	5	wp	wp	NOUN
iajs-2615	251	6	–	–	PUNCT
iajs-2615	251	7	2	2	NUM
iajs-2615	251	8	–	–	PUNCT
iajs-2615	251	9	absorbing	absorb	VERB
iajs-2615	251	10	submodule	submodule	NOUN
iajs-2615	251	11	of	of	ADP
iajs-2615	251	12	e	e	PROPN
iajs-2615	251	13	with	with	ADP
iajs-2615	251	14	(	(	PUNCT
iajs-2615	251	15	r	r	NOUN
iajs-2615	251	16	,	,	PUNCT
iajs-2615	251	17	s	s	PART
iajs-2615	251	18	,	,	PUNCT
iajs-2615	251	19	e	e	NOUN
iajs-2615	251	20	)	)	PUNCT
iajs-2615	251	21	is	be	AUX
iajs-2615	251	22	a	a	DET
iajs-2615	251	23	wp	wp	NOUN
iajs-2615	251	24	–	–	PUNCT
iajs-2615	251	25	triple	triple	NOUN
iajs-2615	251	26	zero	zero	NUM
iajs-2615	251	27	of	of	ADP
iajs-2615	251	28	a	a	PRON
iajs-2615	251	29	for	for	ADP
iajs-2615	251	30	some	some	PRON
iajs-2615	251	31	r	r	NOUN
iajs-2615	251	32	,	,	PUNCT
iajs-2615	251	33	s	s	PART
iajs-2615	251	34			PROPN
iajs-2615	251	35	r	r	NOUN
iajs-2615	251	36	,	,	PUNCT
iajs-2615	251	37	e	e	X
iajs-2615	251	38			PROPN
iajs-2615	251	39	e	e	X
iajs-2615	251	40	,	,	PUNCT
iajs-2615	251	41	then	then	ADV
iajs-2615	251	42	[	[	PUNCT
iajs-2615	251	43	a	a	X
iajs-2615	251	44	:	:	PUNCT
iajs-2615	251	45	r	r	NOUN
iajs-2615	251	46	e	e	NOUN
iajs-2615	251	47	]	]	X
iajs-2615	251	48	re	re	X
iajs-2615	251	49	=	=	PUNCT
iajs-2615	251	50	[	[	PUNCT
iajs-2615	251	51	a	a	X
iajs-2615	251	52	:	:	PUNCT
iajs-2615	251	53	r	r	NOUN
iajs-2615	251	54	e	e	NOUN
iajs-2615	251	55	]	]	X
iajs-2615	251	56	se	se	X
iajs-2615	251	57	=	=	PUNCT
iajs-2615	251	58	(	(	PUNCT
iajs-2615	251	59	0	0	NUM
iajs-2615	251	60	)	)	PUNCT
iajs-2615	251	61	.	.	PUNCT
iajs-2615	252	1	proof	proof	NOUN
iajs-2615	252	2	:	:	PUNCT
iajs-2615	252	3	suppose	suppose	VERB
iajs-2615	252	4	that	that	SCONJ
iajs-2615	252	5	[	[	PUNCT
iajs-2615	252	6	a	a	X
iajs-2615	252	7	:	:	PUNCT
iajs-2615	252	8	r	r	NOUN
iajs-2615	252	9	e	e	X
iajs-2615	252	10	]	]	X
iajs-2615	252	11	se	se	X
iajs-2615	252	12	≠	≠	PROPN
iajs-2615	252	13	(	(	PUNCT
iajs-2615	252	14	0	0	NUM
iajs-2615	252	15	)	)	PUNCT
iajs-2615	252	16	then	then	ADV
iajs-2615	252	17	yse	yse	PROPN
iajs-2615	252	18	≠	≠	ADJ
iajs-2615	252	19	o	o	NOUN
iajs-2615	252	20	for	for	ADP
iajs-2615	252	21	some	some	DET
iajs-2615	252	22	y	y	PROPN
iajs-2615	252	23			NOUN
iajs-2615	252	24	[	[	PUNCT
iajs-2615	252	25	a	a	X
iajs-2615	252	26	:	:	PUNCT
iajs-2615	252	27	r	r	NOUN
iajs-2615	252	28	e	e	NOUN
iajs-2615	252	29	]	]	X
iajs-2615	252	30	.	.	PUNCT
iajs-2615	253	1	since	since	SCONJ
iajs-2615	253	2	(	(	PUNCT
iajs-2615	253	3	r	r	NOUN
iajs-2615	253	4	,	,	PUNCT
iajs-2615	253	5	s	s	PART
iajs-2615	253	6	,	,	PUNCT
iajs-2615	253	7	e	e	NOUN
iajs-2615	253	8	)	)	PUNCT
iajs-2615	253	9	is	be	AUX
iajs-2615	253	10	a	a	DET
iajs-2615	253	11	wp	wp	NOUN
iajs-2615	253	12	–	–	PUNCT
iajs-2615	253	13	triple	triple	NOUN
iajs-2615	253	14	zero	zero	NUM
iajs-2615	253	15	of	of	ADP
iajs-2615	253	16	a	a	DET
iajs-2615	253	17	,	,	PUNCT
iajs-2615	253	18	rse	rse	ADJ
iajs-2615	253	19	=	=	SYM
iajs-2615	253	20	0	0	NUM
iajs-2615	253	21	and	and	CCONJ
iajs-2615	253	22	re	re	VERB
iajs-2615	253	23			NOUN
iajs-2615	253	24	a	a	DET
iajs-2615	253	25	+	+	X
iajs-2615	253	26	soc	soc	NOUN
iajs-2615	253	27	(	(	PUNCT
iajs-2615	253	28	e	e	NOUN
iajs-2615	253	29	)	)	PUNCT
iajs-2615	253	30	,	,	PUNCT
iajs-2615	253	31	se	se	X
iajs-2615	253	32			VERB
iajs-2615	253	33	a	a	DET
iajs-2615	253	34	+	+	X
iajs-2615	253	35	soc	soc	NOUN
iajs-2615	253	36	(	(	PUNCT
iajs-2615	253	37	e	e	NOUN
iajs-2615	253	38	)	)	PUNCT
iajs-2615	253	39	and	and	CCONJ
iajs-2615	253	40	rs	rs	INTJ
iajs-2615	253	41			PUNCT
iajs-2615	254	1	[	[	X
iajs-2615	254	2	a	a	DET
iajs-2615	254	3	+	+	X
iajs-2615	254	4	soc	soc	NOUN
iajs-2615	254	5	(	(	PUNCT
iajs-2615	254	6	e	e	NOUN
iajs-2615	254	7	)	)	PUNCT
iajs-2615	254	8	:	:	PUNCT
iajs-2615	254	9	r	r	NOUN
iajs-2615	254	10	e	e	NOUN
iajs-2615	254	11	]	]	X
iajs-2615	254	12	.	.	PUNCT
iajs-2615	255	1	we	we	PRON
iajs-2615	255	2	have	have	VERB
iajs-2615	255	3	0	0	NUM
iajs-2615	255	4	≠	≠	PROPN
iajs-2615	255	5	yse	yse	PROPN
iajs-2615	255	6			NOUN
iajs-2615	255	7	a	a	PRON
iajs-2615	255	8	and	and	CCONJ
iajs-2615	255	9	a	a	PRON
iajs-2615	255	10	is	be	AUX
iajs-2615	255	11	a	a	DET
iajs-2615	255	12	wp	wp	NOUN
iajs-2615	255	13	–	–	PUNCT
iajs-2615	255	14	2	2	NUM
iajs-2615	255	15	–	–	PUNCT
iajs-2615	255	16	absorbing	absorb	VERB
iajs-2615	255	17	submodule	submodule	NOUN
iajs-2615	255	18	of	of	ADP
iajs-2615	255	19	e	e	PROPN
iajs-2615	255	20	,	,	PUNCT
iajs-2615	255	21	then	then	ADV
iajs-2615	255	22	either	either	CCONJ
iajs-2615	255	23	ye	ye	PRON
iajs-2615	255	24			NOUN
iajs-2615	255	25	a	a	DET
iajs-2615	255	26	+	+	X
iajs-2615	255	27	soc	soc	NOUN
iajs-2615	255	28	(	(	PUNCT
iajs-2615	255	29	e	e	NOUN
iajs-2615	255	30	)	)	PUNCT
iajs-2615	255	31	or	or	CCONJ
iajs-2615	255	32	se	se	ADP
iajs-2615	255	33			NOUN
iajs-2615	255	34	a	a	DET
iajs-2615	255	35	+	+	X
iajs-2615	255	36	soc	soc	NOUN
iajs-2615	255	37	(	(	PUNCT
iajs-2615	255	38	e	e	NOUN
iajs-2615	255	39	)	)	PUNCT
iajs-2615	255	40	or	or	CCONJ
iajs-2615	255	41	ys	ys	VERB
iajs-2615	255	42			NOUN
iajs-2615	255	43	[	[	X
iajs-2615	255	44	a	a	DET
iajs-2615	255	45	+	+	X
iajs-2615	255	46	soc	soc	NOUN
iajs-2615	255	47	(	(	PUNCT
iajs-2615	255	48	e	e	NOUN
iajs-2615	255	49	)	)	PUNCT
iajs-2615	255	50	:	:	PUNCT
iajs-2615	255	51	r	r	NOUN
iajs-2615	255	52	e	e	NOUN
iajs-2615	255	53	]	]	PUNCT
iajs-2615	255	54	.	.	PUNCT
iajs-2615	256	1	now	now	ADV
iajs-2615	256	2	,	,	PUNCT
iajs-2615	256	3	0	0	NUM
iajs-2615	256	4	≠	≠	PROPN
iajs-2615	256	5	(	(	PUNCT
iajs-2615	256	6	r	r	NOUN
iajs-2615	256	7	+	+	PROPN
iajs-2615	256	8	y	y	PROPN
iajs-2615	256	9	)	)	PUNCT
iajs-2615	256	10	se	se	X
iajs-2615	256	11	=	=	SYM
iajs-2615	256	12	rse	rse	PROPN
iajs-2615	256	13	+	+	CCONJ
iajs-2615	256	14	yse	yse	X
iajs-2615	256	15	=	=	PUNCT
iajs-2615	256	16	yse	yse	PROPN
iajs-2615	256	17			NOUN
iajs-2615	256	18	a	a	PRON
iajs-2615	256	19	and	and	CCONJ
iajs-2615	256	20	a	a	PRON
iajs-2615	256	21	is	be	AUX
iajs-2615	256	22	a	a	DET
iajs-2615	256	23	wp	wp	NOUN
iajs-2615	256	24	–	–	PUNCT
iajs-2615	256	25	2	2	NUM
iajs-2615	256	26	–	–	PUNCT
iajs-2615	256	27	absorbing	absorb	VERB
iajs-2615	256	28	submodule	submodule	NOUN
iajs-2615	256	29	,	,	PUNCT
iajs-2615	256	30	then	then	ADV
iajs-2615	256	31	either	either	CCONJ
iajs-2615	256	32	(	(	PUNCT
iajs-2615	256	33	r	r	NOUN
iajs-2615	256	34	+	+	NOUN
iajs-2615	256	35	y	y	NOUN
iajs-2615	256	36	)	)	PUNCT
iajs-2615	256	37	e	e	X
iajs-2615	256	38	=	=	PRON
iajs-2615	256	39	re	re	X
iajs-2615	256	40	+	+	NOUN
iajs-2615	256	41	ye	ye	PRON
iajs-2615	256	42			NOUN
iajs-2615	256	43	a	a	DET
iajs-2615	256	44	+	+	X
iajs-2615	256	45	soc	soc	NOUN
iajs-2615	256	46	(	(	PUNCT
iajs-2615	256	47	e	e	NOUN
iajs-2615	256	48	)	)	PUNCT
iajs-2615	256	49	or	or	CCONJ
iajs-2615	256	50	se	se	ADP
iajs-2615	256	51			NOUN
iajs-2615	256	52	a	a	DET
iajs-2615	256	53	+	+	X
iajs-2615	256	54	soc	soc	NOUN
iajs-2615	256	55	(	(	PUNCT
iajs-2615	256	56	e	e	NOUN
iajs-2615	256	57	)	)	PUNCT
iajs-2615	256	58	or	or	CCONJ
iajs-2615	256	59	(	(	PUNCT
iajs-2615	256	60	r	r	NOUN
iajs-2615	256	61	+	+	PROPN
iajs-2615	256	62	y	y	PROPN
iajs-2615	256	63	)	)	PUNCT
iajs-2615	256	64	s	s	PART
iajs-2615	256	65			NOUN
iajs-2615	256	66	[	[	X
iajs-2615	256	67	a	a	DET
iajs-2615	256	68	+	+	X
iajs-2615	256	69	soc	soc	NOUN
iajs-2615	256	70	(	(	PUNCT
iajs-2615	256	71	e	e	NOUN
iajs-2615	256	72	)	)	PUNCT
iajs-2615	256	73	:	:	PUNCT
iajs-2615	257	1	r	r	NOUN
iajs-2615	257	2	e	e	NOUN
iajs-2615	257	3	]	]	X
iajs-2615	257	4	.since	.since	NOUN
iajs-2615	257	5	ye	ye	PRON
iajs-2615	257	6			PROPN
iajs-2615	257	7	a	a	DET
iajs-2615	257	8	+	+	X
iajs-2615	257	9	soc	soc	NOUN
iajs-2615	257	10	(	(	PUNCT
iajs-2615	257	11	e	e	NOUN
iajs-2615	257	12	)	)	PUNCT
iajs-2615	257	13	and	and	CCONJ
iajs-2615	257	14	if	if	SCONJ
iajs-2615	257	15	re	re	ADP
iajs-2615	257	16	+	+	NOUN
iajs-2615	257	17	ye	ye	PRON
iajs-2615	257	18			NOUN
iajs-2615	257	19	a	a	DET
iajs-2615	257	20	+	+	X
iajs-2615	257	21	soc	soc	NOUN
iajs-2615	257	22	(	(	PUNCT
iajs-2615	257	23	e	e	NOUN
iajs-2615	257	24	)	)	PUNCT
iajs-2615	257	25	,	,	PUNCT
iajs-2615	257	26	it	it	PRON
iajs-2615	257	27	follows	follow	VERB
iajs-2615	257	28	that	that	SCONJ
iajs-2615	257	29	re	re	ADP
iajs-2615	257	30			NOUN
iajs-2615	257	31	a	a	DET
iajs-2615	257	32	+	+	X
iajs-2615	257	33	soc	soc	NOUN
iajs-2615	257	34	(	(	PUNCT
iajs-2615	257	35	e	e	NOUN
iajs-2615	257	36	)	)	PUNCT
iajs-2615	257	37	a	a	DET
iajs-2615	257	38	contradiction	contradiction	NOUN
iajs-2615	257	39	.	.	PUNCT
iajs-2615	258	1	if	if	SCONJ
iajs-2615	258	2	(	(	PUNCT
iajs-2615	258	3	r	r	NOUN
iajs-2615	258	4	+	+	NOUN
iajs-2615	258	5	y	y	PROPN
iajs-2615	258	6	)	)	PUNCT
iajs-2615	258	7	s	s	PART
iajs-2615	258	8	=	=	NOUN
iajs-2615	258	9	rs	rs	NOUN
iajs-2615	258	10	+	+	CCONJ
iajs-2615	258	11	ys	ys	VERB
iajs-2615	258	12			NOUN
iajs-2615	258	13	[	[	X
iajs-2615	258	14	a	a	DET
iajs-2615	258	15	+	+	X
iajs-2615	258	16	soc	soc	NOUN
iajs-2615	258	17	(	(	PUNCT
iajs-2615	258	18	e	e	NOUN
iajs-2615	258	19	)	)	PUNCT
iajs-2615	258	20	:	:	PUNCT
iajs-2615	258	21	r	r	NOUN
iajs-2615	258	22	e	e	NOUN
iajs-2615	258	23	]	]	PUNCT
iajs-2615	258	24	and	and	CCONJ
iajs-2615	258	25	ys	ys	VERB
iajs-2615	258	26			NOUN
iajs-2615	258	27	[	[	X
iajs-2615	258	28	a	a	DET
iajs-2615	258	29	+	+	X
iajs-2615	258	30	soc	soc	NOUN
iajs-2615	258	31	(	(	PUNCT
iajs-2615	258	32	e	e	NOUN
iajs-2615	258	33	)	)	PUNCT
iajs-2615	258	34	:	:	PUNCT
iajs-2615	258	35	r	r	NOUN
iajs-2615	258	36	e	e	NOUN
iajs-2615	258	37	]	]	X
iajs-2615	258	38	,	,	PUNCT
iajs-2615	258	39	then	then	ADV
iajs-2615	258	40	rs	rs	ADP
iajs-2615	258	41			NOUN
iajs-2615	259	1	[	[	X
iajs-2615	259	2	a	a	DET
iajs-2615	259	3	+	+	X
iajs-2615	259	4	soc	soc	NOUN
iajs-2615	259	5	(	(	PUNCT
iajs-2615	259	6	e	e	NOUN
iajs-2615	259	7	)	)	PUNCT
iajs-2615	259	8	:	:	PUNCT
iajs-2615	259	9	r	r	NOUN
iajs-2615	259	10	e	e	X
iajs-2615	259	11	]	]	PUNCT
iajs-2615	259	12	a	a	DET
iajs-2615	259	13	contradiction	contradiction	NOUN
iajs-2615	259	14	.	.	PUNCT
iajs-2615	260	1	thus	thus	ADV
iajs-2615	260	2	[	[	PUNCT
iajs-2615	260	3	a	a	X
iajs-2615	260	4	:	:	PUNCT
iajs-2615	260	5	r	r	NOUN
iajs-2615	260	6	e	e	NOUN
iajs-2615	260	7	]	]	X
iajs-2615	260	8	se	se	X
iajs-2615	260	9	=	=	PUNCT
iajs-2615	260	10	(	(	PUNCT
iajs-2615	260	11	0	0	NUM
iajs-2615	260	12	)	)	PUNCT
iajs-2615	260	13	.	.	PUNCT
iajs-2615	261	1	similarly	similarly	ADV
iajs-2615	261	2	we	we	PRON
iajs-2615	261	3	can	can	AUX
iajs-2615	261	4	prove	prove	VERB
iajs-2615	261	5	[	[	PUNCT
iajs-2615	261	6	a	a	X
iajs-2615	261	7	:	:	PUNCT
iajs-2615	261	8	r	r	NOUN
iajs-2615	261	9	e	e	NOUN
iajs-2615	261	10	]	]	X
iajs-2615	261	11	re	re	X
iajs-2615	261	12	=	=	X
iajs-2615	261	13	(	(	PUNCT
iajs-2615	261	14	0	0	NUM
iajs-2615	261	15	)	)	PUNCT
iajs-2615	261	16	.	.	PUNCT
iajs-2615	262	1	proposition	proposition	NOUN
iajs-2615	262	2	16	16	NUM
iajs-2615	262	3	.	.	PUNCT
iajs-2615	263	1	if	if	SCONJ
iajs-2615	263	2	a	a	PRON
iajs-2615	263	3	is	be	AUX
iajs-2615	263	4	a	a	DET
iajs-2615	263	5	wp	wp	NOUN
iajs-2615	263	6	–	–	PUNCT
iajs-2615	263	7	2	2	NUM
iajs-2615	263	8	–	–	PUNCT
iajs-2615	263	9	absorbing	absorb	VERB
iajs-2615	263	10	submodule	submodule	NOUN
iajs-2615	263	11	of	of	ADP
iajs-2615	263	12	e	e	PROPN
iajs-2615	263	13	with	with	ADP
iajs-2615	263	14	(	(	PUNCT
iajs-2615	263	15	r	r	NOUN
iajs-2615	263	16	,	,	PUNCT
iajs-2615	263	17	s	s	PART
iajs-2615	263	18	,	,	PUNCT
iajs-2615	263	19	e	e	NOUN
iajs-2615	263	20	)	)	PUNCT
iajs-2615	263	21	is	be	AUX
iajs-2615	263	22	a	a	DET
iajs-2615	263	23	wp	wp	NOUN
iajs-2615	263	24	–	–	PUNCT
iajs-2615	263	25	triple	triple	NOUN
iajs-2615	263	26	zero	zero	NUM
iajs-2615	263	27	of	of	ADP
iajs-2615	263	28	a	a	PRON
iajs-2615	263	29	for	for	ADP
iajs-2615	263	30	some	some	PRON
iajs-2615	263	31	r	r	NOUN
iajs-2615	263	32	,	,	PUNCT
iajs-2615	263	33	s	s	PART
iajs-2615	263	34			PROPN
iajs-2615	263	35	r	r	NOUN
iajs-2615	263	36	,	,	PUNCT
iajs-2615	263	37	e	e	X
iajs-2615	263	38			PROPN
iajs-2615	263	39	e	e	X
iajs-2615	263	40	.	.	PUNCT
iajs-2615	264	1	then	then	ADV
iajs-2615	264	2	r	r	X
iajs-2615	264	3	[	[	PUNCT
iajs-2615	264	4	a	a	X
iajs-2615	264	5	:	:	PUNCT
iajs-2615	264	6	r	r	NOUN
iajs-2615	264	7	e	e	NOUN
iajs-2615	264	8	]	]	X
iajs-2615	264	9	e	e	X
iajs-2615	264	10	=	=	SYM
iajs-2615	264	11	s	s	PROPN
iajs-2615	264	12	[	[	PUNCT
iajs-2615	264	13	a	a	X
iajs-2615	264	14	:	:	PUNCT
iajs-2615	264	15	r	r	NOUN
iajs-2615	264	16	e	e	NOUN
iajs-2615	264	17	]	]	X
iajs-2615	264	18	e	e	X
iajs-2615	264	19	=	=	SYM
iajs-2615	264	20	(	(	PUNCT
iajs-2615	264	21	0	0	NUM
iajs-2615	264	22	)	)	PUNCT
iajs-2615	264	23	.	.	PUNCT
iajs-2615	265	1	proof	proof	NOUN
iajs-2615	265	2	:	:	PUNCT
iajs-2615	265	3	suppose	suppose	VERB
iajs-2615	265	4	that	that	SCONJ
iajs-2615	265	5	r	r	NOUN
iajs-2615	265	6	[	[	PUNCT
iajs-2615	265	7	a	a	X
iajs-2615	265	8	:	:	PUNCT
iajs-2615	265	9	r	r	NOUN
iajs-2615	265	10	e	e	X
iajs-2615	265	11	]	]	X
iajs-2615	265	12	e	e	X
iajs-2615	265	13	≠	≠	PROPN
iajs-2615	265	14	(	(	PUNCT
iajs-2615	265	15	0	0	NUM
iajs-2615	265	16	)	)	PUNCT
iajs-2615	265	17	,	,	PUNCT
iajs-2615	265	18	then	then	ADV
iajs-2615	265	19	there	there	PRON
iajs-2615	265	20	exists	exist	VERB
iajs-2615	265	21	x	x	PUNCT
iajs-2615	265	22			NOUN
iajs-2615	265	23	[	[	PUNCT
iajs-2615	265	24	a	a	PRON
iajs-2615	265	25	:	:	PUNCT
iajs-2615	265	26	r	r	NOUN
iajs-2615	265	27	e	e	NOUN
iajs-2615	265	28	]	]	PUNCT
iajs-2615	265	29	such	such	ADJ
iajs-2615	265	30	that	that	DET
iajs-2615	265	31	rxe	rxe	NOUN
iajs-2615	265	32	≠	≠	PROPN
iajs-2615	265	33	0	0	NUM
iajs-2615	265	34	.	.	PUNCT
iajs-2615	266	1	but	but	CCONJ
iajs-2615	266	2	(	(	PUNCT
iajs-2615	266	3	r	r	NOUN
iajs-2615	266	4	,	,	PUNCT
iajs-2615	266	5	s	s	PART
iajs-2615	266	6	,	,	PUNCT
iajs-2615	266	7	e	e	NOUN
iajs-2615	266	8	)	)	PUNCT
iajs-2615	266	9	is	be	AUX
iajs-2615	266	10	a	a	DET
iajs-2615	266	11	wp	wp	NOUN
iajs-2615	266	12	–	–	PUNCT
iajs-2615	266	13	triple	triple	NOUN
iajs-2615	266	14	zero	zero	NUM
iajs-2615	266	15	of	of	ADP
iajs-2615	266	16	a	a	DET
iajs-2615	266	17	,	,	PUNCT
iajs-2615	266	18	rse	rse	ADJ
iajs-2615	266	19	=	=	SYM
iajs-2615	266	20	0	0	NUM
iajs-2615	266	21	,	,	PUNCT
iajs-2615	266	22	re	re	ADP
iajs-2615	266	23			VERB
iajs-2615	266	24	a	a	DET
iajs-2615	266	25	+	+	X
iajs-2615	266	26	soc	soc	NOUN
iajs-2615	266	27	(	(	PUNCT
iajs-2615	266	28	e	e	NOUN
iajs-2615	266	29	)	)	PUNCT
iajs-2615	266	30	or	or	CCONJ
iajs-2615	266	31	se	se	ADP
iajs-2615	266	32			VERB
iajs-2615	266	33	a	a	DET
iajs-2615	266	34	+	+	X
iajs-2615	266	35	soc	soc	NOUN
iajs-2615	266	36	(	(	PUNCT
iajs-2615	266	37	e	e	NOUN
iajs-2615	266	38	)	)	PUNCT
iajs-2615	266	39	and	and	CCONJ
iajs-2615	266	40	rs	rs	INTJ
iajs-2615	266	41			PUNCT
iajs-2615	267	1	[	[	X
iajs-2615	267	2	a	a	DET
iajs-2615	267	3	+	+	X
iajs-2615	267	4	soc	soc	NOUN
iajs-2615	267	5	(	(	PUNCT
iajs-2615	267	6	e	e	NOUN
iajs-2615	267	7	)	)	PUNCT
iajs-2615	267	8	:	:	PUNCT
iajs-2615	267	9	r	r	NOUN
iajs-2615	267	10	e	e	NOUN
iajs-2615	267	11	]	]	X
iajs-2615	267	12	.	.	PUNCT
iajs-2615	268	1	for	for	ADP
iajs-2615	268	2	0	0	NUM
iajs-2615	268	3	≠	≠	PROPN
iajs-2615	268	4	rxe	rxe	PROPN
iajs-2615	268	5			NOUN
iajs-2615	268	6	a	a	PRON
iajs-2615	268	7	and	and	CCONJ
iajs-2615	268	8	a	a	PRON
iajs-2615	268	9	is	be	AUX
iajs-2615	268	10	a	a	DET
iajs-2615	268	11	wp	wp	NOUN
iajs-2615	268	12	–	–	PUNCT
iajs-2615	268	13	2	2	NUM
iajs-2615	268	14	–	–	PUNCT
iajs-2615	268	15	absorbing	absorb	VERB
iajs-2615	268	16	submodule	submodule	NOUN
iajs-2615	268	17	of	of	ADP
iajs-2615	268	18	e	e	PROPN
iajs-2615	268	19	,	,	PUNCT
iajs-2615	268	20	then	then	ADV
iajs-2615	268	21	either	either	CCONJ
iajs-2615	268	22	re	re	ADP
iajs-2615	268	23			NOUN
iajs-2615	268	24	a	a	DET
iajs-2615	268	25	+	+	X
iajs-2615	268	26	soc	soc	NOUN
iajs-2615	268	27	(	(	PUNCT
iajs-2615	268	28	e	e	NOUN
iajs-2615	268	29	)	)	PUNCT
iajs-2615	268	30	or	or	CCONJ
iajs-2615	268	31	xe	xe	PROPN
iajs-2615	268	32			NOUN
iajs-2615	268	33	a	a	DET
iajs-2615	268	34	+	+	X
iajs-2615	268	35	soc	soc	NOUN
iajs-2615	268	36	(	(	PUNCT
iajs-2615	268	37	e	e	NOUN
iajs-2615	268	38	)	)	PUNCT
iajs-2615	268	39	or	or	CCONJ
iajs-2615	268	40	rx	rx	VERB
iajs-2615	268	41			NOUN
iajs-2615	268	42	[	[	X
iajs-2615	268	43	a	a	DET
iajs-2615	268	44	+	+	X
iajs-2615	268	45	soc	soc	NOUN
iajs-2615	268	46	(	(	PUNCT
iajs-2615	268	47	e	e	NOUN
iajs-2615	268	48	)	)	PUNCT
iajs-2615	268	49	:	:	PUNCT
iajs-2615	268	50	r	r	NOUN
iajs-2615	268	51	e	e	NOUN
iajs-2615	268	52	]	]	PUNCT
iajs-2615	268	53	.	.	PUNCT
iajs-2615	269	1	now	now	ADV
iajs-2615	269	2	,	,	PUNCT
iajs-2615	269	3	0	0	NUM
iajs-2615	269	4	≠	≠	PROPN
iajs-2615	269	5	r	r	NOUN
iajs-2615	269	6	(	(	PUNCT
iajs-2615	269	7	s	s	PART
iajs-2615	269	8	+	+	NOUN
iajs-2615	269	9	x	x	X
iajs-2615	269	10	)	)	PUNCT
iajs-2615	269	11	e	e	X
iajs-2615	269	12	=	=	SYM
iajs-2615	269	13	rse	rse	PROPN
iajs-2615	269	14	+	+	CCONJ
iajs-2615	269	15	rxe	rxe	NOUN
iajs-2615	269	16	=	=	SYM
iajs-2615	269	17	rxe	rxe	PROPN
iajs-2615	269	18			NOUN
iajs-2615	269	19	a	a	X
iajs-2615	269	20	,	,	PUNCT
iajs-2615	269	21	and	and	CCONJ
iajs-2615	269	22	a	a	PRON
iajs-2615	269	23	is	be	AUX
iajs-2615	269	24	a	a	DET
iajs-2615	269	25	wp	wp	NOUN
iajs-2615	269	26	–	–	PUNCT
iajs-2615	269	27	2	2	NUM
iajs-2615	269	28	–	–	PUNCT
iajs-2615	269	29	absorbing	absorb	VERB
iajs-2615	269	30	submodule	submodule	NOUN
iajs-2615	269	31	,	,	PUNCT
iajs-2615	269	32	then	then	ADV
iajs-2615	269	33	either	either	CCONJ
iajs-2615	269	34	re	re	ADP
iajs-2615	269	35			NOUN
iajs-2615	269	36	a	a	DET
iajs-2615	269	37	+	+	X
iajs-2615	269	38	soc	soc	NOUN
iajs-2615	269	39	(	(	PUNCT
iajs-2615	269	40	e	e	NOUN
iajs-2615	269	41	)	)	PUNCT
iajs-2615	269	42	or	or	CCONJ
iajs-2615	269	43	(	(	PUNCT
iajs-2615	269	44	s	s	VERB
iajs-2615	269	45	+	+	NOUN
iajs-2615	269	46	x	x	X
iajs-2615	269	47	)	)	PUNCT
iajs-2615	269	48	e	e	X
iajs-2615	269	49	=	=	PUNCT
iajs-2615	269	50	se	se	PROPN
iajs-2615	269	51	+	+	CCONJ
iajs-2615	269	52	xe	xe	PROPN
iajs-2615	269	53			NOUN
iajs-2615	269	54	a	a	DET
iajs-2615	269	55	+	+	X
iajs-2615	269	56	soc	soc	NOUN
iajs-2615	269	57	(	(	PUNCT
iajs-2615	269	58	e	e	NOUN
iajs-2615	269	59	)	)	PUNCT
iajs-2615	269	60	or	or	CCONJ
iajs-2615	269	61	r	r	NOUN
iajs-2615	269	62	(	(	PUNCT
iajs-2615	269	63	s	s	PART
iajs-2615	269	64	+	+	NOUN
iajs-2615	269	65	x	x	X
iajs-2615	269	66	)	)	PUNCT
iajs-2615	270	1	=	=	PUNCT
iajs-2615	270	2	rs	r	NOUN
iajs-2615	270	3	+	+	CCONJ
iajs-2615	270	4	rx	rx	VERB
iajs-2615	270	5			NOUN
iajs-2615	270	6	[	[	X
iajs-2615	270	7	a	a	DET
iajs-2615	270	8	+	+	X
iajs-2615	270	9	soc	soc	NOUN
iajs-2615	270	10	(	(	PUNCT
iajs-2615	270	11	e	e	NOUN
iajs-2615	270	12	)	)	PUNCT
iajs-2615	270	13	:	:	PUNCT
iajs-2615	270	14	r	r	NOUN
iajs-2615	270	15	e	e	NOUN
iajs-2615	270	16	]	]	X
iajs-2615	270	17	.	.	PUNCT
iajs-2615	271	1	that	that	PRON
iajs-2615	271	2	is	be	AUX
iajs-2615	271	3	re	re	ADP
iajs-2615	271	4			NOUN
iajs-2615	271	5	a	a	DET
iajs-2615	271	6	+	+	X
iajs-2615	271	7	soc	soc	NOUN
iajs-2615	271	8	(	(	PUNCT
iajs-2615	271	9	e	e	NOUN
iajs-2615	271	10	)	)	PUNCT
iajs-2615	271	11	a	a	DET
iajs-2615	271	12	contradiction	contradiction	NOUN
iajs-2615	271	13	.	.	PUNCT
iajs-2615	272	1	if	if	SCONJ
iajs-2615	272	2	(	(	PUNCT
iajs-2615	272	3	s	s	VERB
iajs-2615	272	4	+	+	NOUN
iajs-2615	272	5	x	x	X
iajs-2615	272	6	)	)	PUNCT
iajs-2615	272	7	e	e	X
iajs-2615	272	8	=	=	SYM
iajs-2615	272	9	se	se	PROPN
iajs-2615	273	1	+	+	CCONJ
iajs-2615	273	2	xe	xe	PROPN
iajs-2615	273	3			NOUN
iajs-2615	273	4	a	a	DET
iajs-2615	273	5	+	+	X
iajs-2615	273	6	soc	soc	NOUN
iajs-2615	273	7	(	(	PUNCT
iajs-2615	273	8	e	e	NOUN
iajs-2615	273	9	)	)	PUNCT
iajs-2615	273	10	,	,	PUNCT
iajs-2615	273	11	implies	imply	VERB
iajs-2615	273	12	that	that	SCONJ
iajs-2615	273	13	se	se	PROPN
iajs-2615	273	14			PROPN
iajs-2615	273	15	a	a	DET
iajs-2615	273	16	+	+	X
iajs-2615	273	17	soc	soc	NOUN
iajs-2615	273	18	(	(	PUNCT
iajs-2615	273	19	e	e	NOUN
iajs-2615	273	20	)	)	PUNCT
iajs-2615	273	21	a	a	DET
iajs-2615	273	22	contradiction	contradiction	NOUN
iajs-2615	273	23	.	.	PUNCT
iajs-2615	274	1	if	if	SCONJ
iajs-2615	274	2	rs	r	VERB
iajs-2615	274	3	+	+	CCONJ
iajs-2615	274	4	rx	rx	VERB
iajs-2615	274	5	[a	[a	PROPN
iajs-2615	274	6	+	+	CCONJ
iajs-2615	274	7	soc	soc	NOUN
iajs-2615	274	8	(	(	PUNCT
iajs-2615	274	9	e	e	NOUN
iajs-2615	274	10	)	)	PUNCT
iajs-2615	274	11	:	:	PUNCT
iajs-2615	274	12	r	r	NOUN
iajs-2615	274	13	e	e	NOUN
iajs-2615	274	14	]	]	PUNCT
iajs-2615	274	15	,	,	PUNCT
iajs-2615	274	16	implies	imply	VERB
iajs-2615	274	17	that	that	SCONJ
iajs-2615	274	18	rs	rs	ADJ
iajs-2615	274	19			NOUN
iajs-2615	274	20	[	[	X
iajs-2615	274	21	a	a	DET
iajs-2615	274	22	+	+	X
iajs-2615	274	23	soc	soc	NOUN
iajs-2615	274	24	(	(	PUNCT
iajs-2615	274	25	e	e	NOUN
iajs-2615	274	26	)	)	PUNCT
iajs-2615	274	27	:	:	PUNCT
iajs-2615	274	28	r	r	NOUN
iajs-2615	274	29	e	e	X
iajs-2615	274	30	]	]	PUNCT
iajs-2615	274	31	a	a	DET
iajs-2615	274	32	contradiction	contradiction	NOUN
iajs-2615	274	33	.	.	PUNCT
iajs-2615	275	1	thus	thus	ADV
iajs-2615	275	2	r	r	X
iajs-2615	275	3	[	[	PUNCT
iajs-2615	275	4	a	a	X
iajs-2615	275	5	:	:	PUNCT
iajs-2615	275	6	r	r	NOUN
iajs-2615	275	7	e	e	NOUN
iajs-2615	275	8	]	]	X
iajs-2615	275	9	e	e	X
iajs-2615	275	10	=	=	SYM
iajs-2615	275	11	(	(	PUNCT
iajs-2615	275	12	0	0	NUM
iajs-2615	275	13	)	)	PUNCT
iajs-2615	275	14	.	.	PUNCT
iajs-2615	276	1	in	in	ADP
iajs-2615	276	2	similary	similary	ADJ
iajs-2615	276	3	way	way	NOUN
iajs-2615	276	4	s	s	PART
iajs-2615	276	5	[	[	PUNCT
iajs-2615	276	6	a	a	PRON
iajs-2615	276	7	:	:	PUNCT
iajs-2615	276	8	r	r	NOUN
iajs-2615	276	9	e	e	NOUN
iajs-2615	276	10	]	]	X
iajs-2615	276	11	e	e	X
iajs-2615	276	12	=	=	SYM
iajs-2615	276	13	(	(	PUNCT
iajs-2615	276	14	0	0	NUM
iajs-2615	276	15	)	)	PUNCT
iajs-2615	276	16	.	.	PUNCT
iajs-2615	277	1	as	as	ADP
iajs-2615	277	2	direct	direct	ADJ
iajs-2615	277	3	consequence	consequence	NOUN
iajs-2615	277	4	of	of	ADP
iajs-2615	277	5	proposition	proposition	NOUN
iajs-2615	277	6	(	(	PUNCT
iajs-2615	277	7	16	16	NUM
iajs-2615	277	8	)	)	PUNCT
iajs-2615	277	9	,	,	PUNCT
iajs-2615	277	10	we	we	PRON
iajs-2615	277	11	get	get	VERB
iajs-2615	277	12	the	the	DET
iajs-2615	277	13	following	follow	VERB
iajs-2615	277	14	corollary	corollary	ADJ
iajs-2615	277	15	:	:	PUNCT
iajs-2615	277	16	corollary	corollary	ADJ
iajs-2615	277	17	17	17	NUM
iajs-2615	277	18	.	.	PUNCT
iajs-2615	278	1	if	if	SCONJ
iajs-2615	278	2	a	a	PRON
iajs-2615	278	3	is	be	AUX
iajs-2615	278	4	a	a	DET
iajs-2615	278	5	wp	wp	NOUN
iajs-2615	278	6	–	–	PUNCT
iajs-2615	278	7	2	2	NUM
iajs-2615	278	8	–	–	PUNCT
iajs-2615	278	9	absorbing	absorb	VERB
iajs-2615	278	10	submodule	submodule	NOUN
iajs-2615	278	11	of	of	ADP
iajs-2615	278	12	an	an	DET
iajs-2615	278	13	r	r	NOUN
iajs-2615	278	14	–	–	PUNCT
iajs-2615	278	15	module	module	NOUN
iajs-2615	278	16	e	e	NOUN
iajs-2615	278	17	with	with	ADP
iajs-2615	278	18	(	(	PUNCT
iajs-2615	278	19	r	r	NOUN
iajs-2615	278	20	,	,	PUNCT
iajs-2615	278	21	s	s	PART
iajs-2615	278	22	,	,	PUNCT
iajs-2615	278	23	e	e	NOUN
iajs-2615	278	24	)	)	PUNCT
iajs-2615	278	25	is	be	AUX
iajs-2615	278	26	a	a	DET
iajs-2615	278	27	wp	wp	NOUN
iajs-2615	278	28	–	–	PUNCT
iajs-2615	278	29	triple	triple	NOUN
iajs-2615	278	30	zero	zero	NUM
iajs-2615	278	31	of	of	ADP
iajs-2615	278	32	a	a	PRON
iajs-2615	278	33	for	for	ADP
iajs-2615	278	34	some	some	PRON
iajs-2615	278	35	r	r	NOUN
iajs-2615	278	36	,	,	PUNCT
iajs-2615	278	37	s	s	PART
iajs-2615	278	38			PROPN
iajs-2615	278	39	r	r	NOUN
iajs-2615	278	40	,	,	PUNCT
iajs-2615	278	41	e	e	X
iajs-2615	278	42			PROPN
iajs-2615	278	43	e	e	X
iajs-2615	278	44	,	,	PUNCT
iajs-2615	278	45	then	then	ADV
iajs-2615	278	46	r	r	X
iajs-2615	278	47	[	[	PUNCT
iajs-2615	278	48	a	a	X
iajs-2615	278	49	:	:	PUNCT
iajs-2615	278	50	r	r	NOUN
iajs-2615	278	51	e	e	NOUN
iajs-2615	278	52	]	]	X
iajs-2615	278	53	a	a	PRON
iajs-2615	278	54	=	=	SYM
iajs-2615	278	55	s	s	X
iajs-2615	278	56	[	[	PUNCT
iajs-2615	278	57	a	a	X
iajs-2615	278	58	:	:	PUNCT
iajs-2615	278	59	r	r	NOUN
iajs-2615	278	60	e	e	NOUN
iajs-2615	278	61	]	]	X
iajs-2615	278	62	a	a	X
iajs-2615	278	63	=	=	X
iajs-2615	278	64	(	(	PUNCT
iajs-2615	278	65	0	0	NUM
iajs-2615	278	66	)	)	PUNCT
iajs-2615	278	67	.	.	PUNCT
iajs-2615	279	1	proposition	proposition	NOUN
iajs-2615	279	2	18	18	NUM
iajs-2615	279	3	.	.	PUNCT
iajs-2615	280	1	if	if	SCONJ
iajs-2615	280	2	a	a	PRON
iajs-2615	280	3	is	be	AUX
iajs-2615	280	4	a	a	DET
iajs-2615	280	5	wp	wp	NOUN
iajs-2615	280	6	–	–	PUNCT
iajs-2615	280	7	2	2	NUM
iajs-2615	280	8	–	–	PUNCT
iajs-2615	280	9	absorbing	absorb	VERB
iajs-2615	280	10	submodule	submodule	NOUN
iajs-2615	280	11	of	of	ADP
iajs-2615	280	12	e	e	PROPN
iajs-2615	280	13	with	with	ADP
iajs-2615	280	14	(	(	PUNCT
iajs-2615	280	15	r	r	NOUN
iajs-2615	280	16	,	,	PUNCT
iajs-2615	280	17	s	s	PART
iajs-2615	280	18	,	,	PUNCT
iajs-2615	280	19	e	e	NOUN
iajs-2615	280	20	)	)	PUNCT
iajs-2615	280	21	is	be	AUX
iajs-2615	280	22	a	a	DET
iajs-2615	280	23	wp	wp	NOUN
iajs-2615	280	24	–	–	PUNCT
iajs-2615	280	25	triple	triple	NOUN
iajs-2615	280	26	zero	zero	NUM
iajs-2615	280	27	of	of	ADP
iajs-2615	280	28	a	a	PRON
iajs-2615	280	29	for	for	ADP
iajs-2615	280	30	some	some	PRON
iajs-2615	280	31	r	r	NOUN
iajs-2615	280	32	,	,	PUNCT
iajs-2615	280	33	s	s	PART
iajs-2615	280	34			PROPN
iajs-2615	280	35	r	r	NOUN
iajs-2615	280	36	,	,	PUNCT
iajs-2615	280	37	e	e	X
iajs-2615	280	38			PROPN
iajs-2615	280	39	e	e	X
iajs-2615	280	40	,	,	PUNCT
iajs-2615	280	41	then	then	ADV
iajs-2615	280	42	[	[	PUNCT
iajs-2615	280	43	a	a	X
iajs-2615	280	44	:	:	PUNCT
iajs-2615	280	45	r	r	NOUN
iajs-2615	280	46	e	e	NOUN
iajs-2615	280	47	]	]	X
iajs-2615	280	48	sa	sa	PROPN
iajs-2615	280	49	=	=	X
iajs-2615	281	1	[	[	PUNCT
iajs-2615	281	2	a	a	X
iajs-2615	281	3	:	:	PUNCT
iajs-2615	281	4	r	r	NOUN
iajs-2615	281	5	e	e	NOUN
iajs-2615	281	6	]	]	X
iajs-2615	281	7	ra	ra	PROPN
iajs-2615	281	8	=	=	PUNCT
iajs-2615	281	9	(	(	PUNCT
iajs-2615	281	10	0	0	NUM
iajs-2615	281	11	)	)	PUNCT
iajs-2615	281	12	.	.	PUNCT
iajs-2615	282	1	proof	proof	NOUN
iajs-2615	282	2	:	:	PUNCT
iajs-2615	282	3	suppose	suppose	VERB
iajs-2615	282	4	that	that	SCONJ
iajs-2615	282	5	[	[	PUNCT
iajs-2615	282	6	a	a	X
iajs-2615	282	7	:	:	PUNCT
iajs-2615	282	8	r	r	NOUN
iajs-2615	282	9	e	e	NOUN
iajs-2615	282	10	]	]	X
iajs-2615	282	11	sa	sa	PROPN
iajs-2615	282	12	≠	≠	PROPN
iajs-2615	282	13	(	(	PUNCT
iajs-2615	282	14	0	0	NUM
iajs-2615	282	15	)	)	PUNCT
iajs-2615	282	16	,	,	PUNCT
iajs-2615	282	17	then	then	ADV
iajs-2615	282	18	xsa	xsa	PROPN
iajs-2615	282	19	≠	≠	PROPN
iajs-2615	282	20	(	(	PUNCT
iajs-2615	282	21	0	0	NUM
iajs-2615	282	22	)	)	PUNCT
iajs-2615	282	23	for	for	ADP
iajs-2615	282	24	some	some	DET
iajs-2615	282	25	x	x	ADJ
iajs-2615	282	26			NOUN
iajs-2615	282	27	[	[	PUNCT
iajs-2615	282	28	a	a	X
iajs-2615	282	29	:	:	PUNCT
iajs-2615	282	30	r	r	NOUN
iajs-2615	282	31	e	e	NOUN
iajs-2615	282	32	]	]	X
iajs-2615	282	33	,	,	PUNCT
iajs-2615	282	34	a	a	DET
iajs-2615	282	35			NOUN
iajs-2615	282	36	a	a	X
iajs-2615	282	37	.	.	PUNCT
iajs-2615	283	1	since	since	SCONJ
iajs-2615	283	2	(	(	PUNCT
iajs-2615	283	3	r	r	NOUN
iajs-2615	283	4	,	,	PUNCT
iajs-2615	283	5	s	s	PART
iajs-2615	283	6	,	,	PUNCT
iajs-2615	283	7	e	e	NOUN
iajs-2615	283	8	)	)	PUNCT
iajs-2615	283	9	is	be	AUX
iajs-2615	283	10	a	a	DET
iajs-2615	283	11	wp	wp	NOUN
iajs-2615	283	12	–	–	PUNCT
iajs-2615	283	13	triple	triple	NOUN
iajs-2615	283	14	zero	zero	NUM
iajs-2615	283	15	of	of	ADP
iajs-2615	283	16	a	a	DET
iajs-2615	283	17	,	,	PUNCT
iajs-2615	283	18	then	then	ADV
iajs-2615	283	19	rse	rse	VERB
iajs-2615	283	20	=	=	SYM
iajs-2615	283	21	0	0	NUM
iajs-2615	283	22	,	,	PUNCT
iajs-2615	283	23	re	re	ADP
iajs-2615	283	24			VERB
iajs-2615	283	25	a	a	DET
iajs-2615	283	26	+	+	X
iajs-2615	283	27	soc	soc	NOUN
iajs-2615	283	28	(	(	PUNCT
iajs-2615	283	29	e	e	NOUN
iajs-2615	283	30	)	)	PUNCT
iajs-2615	283	31	,	,	PUNCT
iajs-2615	284	1	se	se	X
iajs-2615	284	2			VERB
iajs-2615	284	3	a	a	DET
iajs-2615	284	4	+	+	X
iajs-2615	284	5	soc	soc	NOUN
iajs-2615	284	6	(	(	PUNCT
iajs-2615	284	7	e	e	NOUN
iajs-2615	284	8	)	)	PUNCT
iajs-2615	284	9	and	and	CCONJ
iajs-2615	284	10	rs	rs	ADJ
iajs-2615	284	11			PUNCT
iajs-2615	285	1	[	[	X
iajs-2615	285	2			NOUN
iajs-2615	285	3	a	a	DET
iajs-2615	285	4	+	+	X
iajs-2615	285	5	soc	soc	NOUN
iajs-2615	285	6	(	(	PUNCT
iajs-2615	285	7	e	e	NOUN
iajs-2615	285	8	)	)	PUNCT
iajs-2615	285	9	:	:	PUNCT
iajs-2615	285	10	r	r	NOUN
iajs-2615	285	11	e	e	NOUN
iajs-2615	285	12	]	]	X
iajs-2615	285	13	.	.	PUNCT
iajs-2615	286	1	for	for	ADP
iajs-2615	286	2	0	0	NUM
iajs-2615	286	3	≠	≠	PROPN
iajs-2615	286	4	xsa	xsa	NUM
iajs-2615	286	5			NOUN
iajs-2615	286	6	a	a	PRON
iajs-2615	286	7	,	,	PUNCT
iajs-2615	286	8	it	it	PRON
iajs-2615	286	9	follows	follow	VERB
iajs-2615	286	10	that	that	SCONJ
iajs-2615	286	11	either	either	CCONJ
iajs-2615	286	12	xa	xa	PROPN
iajs-2615	286	13			PROPN
iajs-2615	286	14	a	a	DET
iajs-2615	286	15	+	+	X
iajs-2615	286	16	soc	soc	NOUN
iajs-2615	286	17	(	(	PUNCT
iajs-2615	286	18	e	e	NOUN
iajs-2615	286	19	)	)	PUNCT
iajs-2615	286	20	or	or	CCONJ
iajs-2615	286	21	sa	sa	VERB
iajs-2615	286	22			PROPN
iajs-2615	286	23	a	a	DET
iajs-2615	286	24	+	+	X
iajs-2615	286	25	soc	soc	NOUN
iajs-2615	286	26	(	(	PUNCT
iajs-2615	286	27	e	e	NOUN
iajs-2615	286	28	)	)	PUNCT
iajs-2615	286	29	or	or	CCONJ
iajs-2615	286	30	xs	xs	PROPN
iajs-2615	286	31			PROPN
iajs-2615	286	32	[	[	PUNCT
iajs-2615	286	33	a	a	DET
iajs-2615	286	34	+	+	X
iajs-2615	286	35	soc	soc	NOUN
iajs-2615	286	36	(	(	PUNCT
iajs-2615	286	37	e	e	NOUN
iajs-2615	286	38	)	)	PUNCT
iajs-2615	286	39	:	:	PUNCT
iajs-2615	286	40	r	r	NOUN
iajs-2615	286	41	e	e	NOUN
iajs-2615	286	42	]	]	X
iajs-2615	286	43	.	.	PUNCT
iajs-2615	287	1	we	we	PRON
iajs-2615	287	2	have	have	VERB
iajs-2615	287	3	(	(	PUNCT
iajs-2615	287	4	r	r	NOUN
iajs-2615	287	5	+	+	NOUN
iajs-2615	287	6	x	x	X
iajs-2615	287	7	)	)	PUNCT
iajs-2615	287	8	s	s	PART
iajs-2615	287	9	(	(	PUNCT
iajs-2615	287	10	a	a	DET
iajs-2615	287	11	+	+	NUM
iajs-2615	287	12	e	e	NOUN
iajs-2615	287	13	)	)	PUNCT
iajs-2615	287	14	=	=	SYM
iajs-2615	287	15	rsa	rsa	NOUN
iajs-2615	287	16	+	+	CCONJ
iajs-2615	287	17	rse	rse	ADJ
iajs-2615	288	1	+	+	CCONJ
iajs-2615	288	2	95	95	NUM
iajs-2615	288	3	ibn	ibn	PROPN
iajs-2615	288	4	al	al	PROPN
iajs-2615	288	5	-	-	PUNCT
iajs-2615	288	6	haitham	haitham	PROPN
iajs-2615	288	7	jour	jour	X
iajs-2615	288	8	.	.	PROPN
iajs-2615	288	9	for	for	ADP
iajs-2615	288	10	pure	pure	ADJ
iajs-2615	288	11	&	&	CCONJ
iajs-2615	288	12	appl	appl	PROPN
iajs-2615	288	13	.	.	PUNCT
iajs-2615	289	1	sci	sci	PROPN
iajs-2615	289	2	.	.	PROPN
iajs-2615	290	1	34	34	NUM
iajs-2615	290	2	(	(	PUNCT
iajs-2615	290	3	2	2	NUM
iajs-2615	290	4	)	)	PUNCT
iajs-2615	290	5	2021	2021	NUM
iajs-2615	290	6	xsa	xsa	PROPN
iajs-2615	291	1	+	+	NUM
iajs-2615	291	2	xse	xse	PROPN
iajs-2615	291	3	=	=	PUNCT
iajs-2615	291	4	xsa	xsa	PROPN
iajs-2615	291	5			NOUN
iajs-2615	291	6	a	a	PRON
iajs-2615	291	7	(	(	PUNCT
iajs-2615	291	8	since	since	SCONJ
iajs-2615	291	9	rse	rse	ADJ
iajs-2615	291	10	=	=	SYM
iajs-2615	291	11	0	0	NUM
iajs-2615	291	12	,	,	PUNCT
iajs-2615	291	13	and	and	CCONJ
iajs-2615	291	14	rsa	rsa	PROPN
iajs-2615	291	15	=	=	NOUN
iajs-2615	291	16	0	0	NUM
iajs-2615	291	17	for	for	ADP
iajs-2615	291	18	proposition	proposition	NOUN
iajs-2615	291	19	(	(	PUNCT
iajs-2615	291	20	14	14	NUM
iajs-2615	291	21	)	)	PUNCT
iajs-2615	291	22	and	and	CCONJ
iajs-2615	291	23	xsa	xsa	NUM
iajs-2615	292	1	=	=	NOUN
iajs-2615	292	2	0	0	NUM
iajs-2615	293	1	from	from	ADP
iajs-2615	293	2	proposition	proposition	NOUN
iajs-2615	293	3	(	(	PUNCT
iajs-2615	293	4	16	16	NUM
iajs-2615	293	5	)	)	PUNCT
iajs-2615	293	6	)	)	PUNCT
iajs-2615	293	7	.	.	PUNCT
iajs-2615	294	1	that	that	PRON
iajs-2615	294	2	is	be	AUX
iajs-2615	294	3	0	0	NUM
iajs-2615	294	4	≠	≠	PROPN
iajs-2615	294	5	(	(	PUNCT
iajs-2615	294	6	r	r	NOUN
iajs-2615	294	7	+	+	NOUN
iajs-2615	294	8	x	x	X
iajs-2615	294	9	)	)	PUNCT
iajs-2615	294	10	(	(	PUNCT
iajs-2615	294	11	a	a	DET
iajs-2615	294	12	+	+	NUM
iajs-2615	294	13	e	e	NOUN
iajs-2615	294	14	)	)	PUNCT
iajs-2615	294	15	=	=	SYM
iajs-2615	294	16	ra	ra	PROPN
iajs-2615	295	1	+	+	CCONJ
iajs-2615	295	2	re	re	PROPN
iajs-2615	295	3	+	+	PROPN
iajs-2615	295	4	xa	xa	PROPN
iajs-2615	295	5	+	+	CCONJ
iajs-2615	295	6	xe	xe	PROPN
iajs-2615	295	7			PROPN
iajs-2615	295	8	a	a	PRON
iajs-2615	295	9	,	,	PUNCT
iajs-2615	295	10	implies	imply	VERB
iajs-2615	295	11	that	that	SCONJ
iajs-2615	295	12	re	re	ADP
iajs-2615	295	13			NOUN
iajs-2615	295	14	a	a	DET
iajs-2615	295	15	+	+	X
iajs-2615	295	16	soc	soc	NOUN
iajs-2615	295	17	(	(	PUNCT
iajs-2615	295	18	e	e	NOUN
iajs-2615	295	19	)	)	PUNCT
iajs-2615	295	20	a	a	DET
iajs-2615	295	21	contradiction	contradiction	NOUN
iajs-2615	295	22	or	or	CCONJ
iajs-2615	295	23	s	s	PROPN
iajs-2615	295	24	(	(	PUNCT
iajs-2615	295	25	a	a	DET
iajs-2615	295	26	+	+	NUM
iajs-2615	295	27	e	e	NOUN
iajs-2615	295	28	)	)	PUNCT
iajs-2615	295	29	=	=	SYM
iajs-2615	295	30	sa	sa	PROPN
iajs-2615	296	1	+	+	CCONJ
iajs-2615	296	2	se	se	X
iajs-2615	296	3			NOUN
iajs-2615	296	4	a	a	DET
iajs-2615	296	5	+	+	X
iajs-2615	296	6	soc	soc	NOUN
iajs-2615	296	7	(	(	PUNCT
iajs-2615	296	8	e	e	NOUN
iajs-2615	296	9	)	)	PUNCT
iajs-2615	296	10	implies	imply	VERB
iajs-2615	296	11	that	that	SCONJ
iajs-2615	296	12	se	se	PROPN
iajs-2615	296	13			PROPN
iajs-2615	296	14	a	a	DET
iajs-2615	296	15	+	+	X
iajs-2615	296	16	soc	soc	NOUN
iajs-2615	296	17	(	(	PUNCT
iajs-2615	296	18	e	e	NOUN
iajs-2615	296	19	)	)	PUNCT
iajs-2615	296	20	a	a	DET
iajs-2615	296	21	contradiction	contradiction	NOUN
iajs-2615	296	22	or	or	CCONJ
iajs-2615	296	23	(	(	PUNCT
iajs-2615	296	24	r	r	NOUN
iajs-2615	296	25	+	+	NOUN
iajs-2615	296	26	x	x	X
iajs-2615	296	27	)	)	PUNCT
iajs-2615	296	28	s	s	PART
iajs-2615	296	29	=	=	NOUN
iajs-2615	296	30	rs	rs	NOUN
iajs-2615	296	31	+	+	NUM
iajs-2615	296	32	xs	xs	PROPN
iajs-2615	296	33			PROPN
iajs-2615	296	34	[	[	PUNCT
iajs-2615	296	35	a	a	DET
iajs-2615	296	36	+	+	X
iajs-2615	296	37	soc	soc	NOUN
iajs-2615	296	38	(	(	PUNCT
iajs-2615	296	39	e	e	NOUN
iajs-2615	296	40	)	)	PUNCT
iajs-2615	296	41	:	:	PUNCT
iajs-2615	296	42	r	r	NOUN
iajs-2615	296	43	e	e	NOUN
iajs-2615	296	44	]	]	PUNCT
iajs-2615	296	45	,	,	PUNCT
iajs-2615	296	46	implies	imply	VERB
iajs-2615	296	47	that	that	SCONJ
iajs-2615	296	48	rs	rs	ADJ
iajs-2615	296	49			NOUN
iajs-2615	296	50	[	[	PUNCT
iajs-2615	296	51	a	a	DET
iajs-2615	296	52	+	+	X
iajs-2615	296	53	soc	soc	NOUN
iajs-2615	296	54	(	(	PUNCT
iajs-2615	296	55	e	e	NOUN
iajs-2615	296	56	)	)	PUNCT
iajs-2615	296	57	:	:	PUNCT
iajs-2615	296	58	r	r	NOUN
iajs-2615	296	59	e	e	X
iajs-2615	296	60	]	]	X
iajs-2615	296	61	a	a	DET
iajs-2615	296	62	contradiction	contradiction	NOUN
iajs-2615	296	63	.thus	.thus	ADP
iajs-2615	296	64	[	[	PUNCT
iajs-2615	296	65	a	a	X
iajs-2615	296	66	:	:	PUNCT
iajs-2615	296	67	r	r	NOUN
iajs-2615	296	68	e	e	NOUN
iajs-2615	296	69	]	]	X
iajs-2615	296	70	sa	sa	PROPN
iajs-2615	296	71	=	=	PUNCT
iajs-2615	296	72	(	(	PUNCT
iajs-2615	296	73	0	0	NUM
iajs-2615	296	74	)	)	PUNCT
iajs-2615	296	75	.	.	PUNCT
iajs-2615	297	1	in	in	ADP
iajs-2615	297	2	similar	similar	ADJ
iajs-2615	297	3	steps	step	NOUN
iajs-2615	297	4	,	,	PUNCT
iajs-2615	297	5	we	we	PRON
iajs-2615	297	6	can	can	AUX
iajs-2615	297	7	show	show	VERB
iajs-2615	297	8	that	that	SCONJ
iajs-2615	297	9	[	[	PUNCT
iajs-2615	297	10	a	a	X
iajs-2615	297	11	:	:	PUNCT
iajs-2615	297	12	r	r	NOUN
iajs-2615	297	13	e	e	NOUN
iajs-2615	297	14	]	]	X
iajs-2615	297	15	ra	ra	X
iajs-2615	297	16	=	=	PUNCT
iajs-2615	297	17	(	(	PUNCT
iajs-2615	297	18	0	0	NUM
iajs-2615	297	19	)	)	PUNCT
iajs-2615	297	20	.	.	PUNCT
iajs-2615	298	1	proposition	proposition	NOUN
iajs-2615	298	2	19	19	NUM
iajs-2615	298	3	.	.	PUNCT
iajs-2615	299	1	if	if	SCONJ
iajs-2615	299	2	a	a	PRON
iajs-2615	299	3	is	be	AUX
iajs-2615	299	4	a	a	DET
iajs-2615	299	5	wp	wp	NOUN
iajs-2615	299	6	–	–	PUNCT
iajs-2615	299	7	2	2	NUM
iajs-2615	299	8	–	–	PUNCT
iajs-2615	299	9	absorbing	absorb	VERB
iajs-2615	299	10	submodule	submodule	NOUN
iajs-2615	299	11	of	of	ADP
iajs-2615	299	12	e	e	PROPN
iajs-2615	299	13	with	with	ADP
iajs-2615	299	14	(	(	PUNCT
iajs-2615	299	15	r	r	NOUN
iajs-2615	299	16	,	,	PUNCT
iajs-2615	299	17	s	s	PART
iajs-2615	299	18	,	,	PUNCT
iajs-2615	299	19	e	e	NOUN
iajs-2615	299	20	)	)	PUNCT
iajs-2615	299	21	is	be	AUX
iajs-2615	299	22	a	a	DET
iajs-2615	299	23	wp	wp	NOUN
iajs-2615	299	24	–	–	PUNCT
iajs-2615	299	25	triple	triple	NOUN
iajs-2615	299	26	zero	zero	NUM
iajs-2615	299	27	of	of	ADP
iajs-2615	299	28	a	a	PRON
iajs-2615	299	29	for	for	ADP
iajs-2615	299	30	some	some	PRON
iajs-2615	299	31	r	r	NOUN
iajs-2615	299	32	,	,	PUNCT
iajs-2615	299	33	s	s	PART
iajs-2615	299	34			PROPN
iajs-2615	299	35	r	r	NOUN
iajs-2615	299	36	,	,	PUNCT
iajs-2615	299	37	e	e	X
iajs-2615	299	38			PROPN
iajs-2615	299	39	e	e	X
iajs-2615	299	40	,	,	PUNCT
iajs-2615	299	41	then	then	ADV
iajs-2615	299	42	[	[	PUNCT
iajs-2615	299	43	a	a	X
iajs-2615	299	44	:	:	PUNCT
iajs-2615	299	45	r	r	NOUN
iajs-2615	299	46	e	e	NOUN
iajs-2615	299	47	]	]	X
iajs-2615	299	48	[	[	PUNCT
iajs-2615	299	49	a	a	X
iajs-2615	299	50	:	:	PUNCT
iajs-2615	299	51	r	r	NOUN
iajs-2615	299	52	e	e	NOUN
iajs-2615	299	53	]	]	X
iajs-2615	299	54	e	e	X
iajs-2615	299	55	=	=	SYM
iajs-2615	299	56	(	(	PUNCT
iajs-2615	299	57	0	0	NUM
iajs-2615	299	58	)	)	PUNCT
iajs-2615	299	59	.	.	PUNCT
iajs-2615	300	1	proof	proof	NOUN
iajs-2615	300	2	:	:	PUNCT
iajs-2615	300	3	suppose	suppose	VERB
iajs-2615	300	4	that	that	SCONJ
iajs-2615	300	5	[	[	PUNCT
iajs-2615	300	6	a	a	X
iajs-2615	300	7	:	:	PUNCT
iajs-2615	300	8	r	r	NOUN
iajs-2615	300	9	e	e	NOUN
iajs-2615	300	10	]	]	X
iajs-2615	300	11	[	[	PUNCT
iajs-2615	300	12	a	a	X
iajs-2615	300	13	:	:	PUNCT
iajs-2615	300	14	r	r	NOUN
iajs-2615	300	15	e	e	NOUN
iajs-2615	300	16	]	]	X
iajs-2615	300	17	e	e	X
iajs-2615	300	18	≠	≠	PROPN
iajs-2615	300	19	(	(	PUNCT
iajs-2615	300	20	0	0	NUM
iajs-2615	300	21	)	)	PUNCT
iajs-2615	300	22	,	,	PUNCT
iajs-2615	300	23	then	then	ADV
iajs-2615	300	24	0	0	NUM
iajs-2615	300	25	≠	≠	PROPN
iajs-2615	300	26	xye	xye	PROPN
iajs-2615	300	27			NOUN
iajs-2615	300	28	a	a	PRON
iajs-2615	300	29	for	for	ADP
iajs-2615	300	30	some	some	DET
iajs-2615	300	31	x	x	SYM
iajs-2615	300	32	,	,	PUNCT
iajs-2615	300	33	y	y	PROPN
iajs-2615	300	34			NOUN
iajs-2615	300	35	[	[	PUNCT
iajs-2615	300	36	a	a	X
iajs-2615	300	37	:	:	PUNCT
iajs-2615	300	38	r	r	NOUN
iajs-2615	300	39	e	e	NOUN
iajs-2615	300	40	]	]	X
iajs-2615	300	41	.	.	PUNCT
iajs-2615	301	1	for	for	ADP
iajs-2615	301	2	(	(	PUNCT
iajs-2615	301	3	r	r	NOUN
iajs-2615	301	4	,	,	PUNCT
iajs-2615	301	5	s	s	PART
iajs-2615	301	6	,	,	PUNCT
iajs-2615	301	7	e	e	NOUN
iajs-2615	301	8	)	)	PUNCT
iajs-2615	301	9	is	be	AUX
iajs-2615	301	10	a	a	DET
iajs-2615	301	11	wp	wp	NOUN
iajs-2615	301	12	–	–	PUNCT
iajs-2615	301	13	triple	triple	NOUN
iajs-2615	301	14	zero	zero	NUM
iajs-2615	301	15	of	of	ADP
iajs-2615	301	16	a	a	DET
iajs-2615	301	17	,	,	PUNCT
iajs-2615	301	18	then	then	ADV
iajs-2615	301	19	rse	rse	VERB
iajs-2615	301	20	=	=	SYM
iajs-2615	301	21	0	0	NUM
iajs-2615	301	22	,	,	PUNCT
iajs-2615	301	23	re	re	VERB
iajs-2615	301	24			VERB
iajs-2615	301	25	a	a	DET
iajs-2615	301	26	+	+	X
iajs-2615	301	27	soc	soc	NOUN
iajs-2615	301	28	(	(	PUNCT
iajs-2615	301	29	e	e	NOUN
iajs-2615	301	30	)	)	PUNCT
iajs-2615	301	31	,	,	PUNCT
iajs-2615	301	32	se	se	X
iajs-2615	301	33			VERB
iajs-2615	301	34	a	a	DET
iajs-2615	301	35	+	+	X
iajs-2615	301	36	soc	soc	NOUN
iajs-2615	301	37	(	(	PUNCT
iajs-2615	301	38	e	e	NOUN
iajs-2615	301	39	)	)	PUNCT
iajs-2615	301	40	and	and	CCONJ
iajs-2615	301	41	rs	rs	NOUN
iajs-2615	301	42			PUNCT
iajs-2615	301	43	[	[	PUNCT
iajs-2615	301	44	a	a	DET
iajs-2615	301	45	+	+	X
iajs-2615	301	46	soc	soc	NOUN
iajs-2615	301	47	(	(	PUNCT
iajs-2615	301	48	e	e	NOUN
iajs-2615	301	49	)	)	PUNCT
iajs-2615	301	50	:	:	PUNCT
iajs-2615	301	51	r	r	NOUN
iajs-2615	301	52	e	e	NOUN
iajs-2615	301	53	]	]	PUNCT
iajs-2615	301	54	.	.	PUNCT
iajs-2615	302	1	now	now	ADV
iajs-2615	302	2	,	,	PUNCT
iajs-2615	302	3	0	0	NUM
iajs-2615	302	4	≠	≠	PROPN
iajs-2615	302	5	xye	xye	PROPN
iajs-2615	302	6			NOUN
iajs-2615	302	7	a	a	PRON
iajs-2615	302	8	,	,	PUNCT
iajs-2615	302	9	implies	imply	VERB
iajs-2615	302	10	that	that	SCONJ
iajs-2615	302	11	either	either	CCONJ
iajs-2615	302	12	xe	xe	PROPN
iajs-2615	302	13			PROPN
iajs-2615	302	14	a	a	DET
iajs-2615	302	15	+	+	X
iajs-2615	302	16	soc	soc	NOUN
iajs-2615	302	17	(	(	PUNCT
iajs-2615	302	18	e	e	NOUN
iajs-2615	302	19	)	)	PUNCT
iajs-2615	302	20	or	or	CCONJ
iajs-2615	302	21	ye	ye	PRON
iajs-2615	302	22			NOUN
iajs-2615	302	23	a	a	DET
iajs-2615	302	24	+	+	X
iajs-2615	302	25	soc	soc	NOUN
iajs-2615	302	26	(	(	PUNCT
iajs-2615	302	27	e	e	NOUN
iajs-2615	302	28	)	)	PUNCT
iajs-2615	302	29	or	or	CCONJ
iajs-2615	302	30	xy	xy	PROPN
iajs-2615	302	31			NOUN
iajs-2615	302	32	[	[	PUNCT
iajs-2615	302	33	a	a	DET
iajs-2615	302	34	+	+	X
iajs-2615	302	35	soc	soc	NOUN
iajs-2615	302	36	(	(	PUNCT
iajs-2615	302	37	e	e	NOUN
iajs-2615	302	38	)	)	PUNCT
iajs-2615	302	39	:	:	PUNCT
iajs-2615	302	40	r	r	NOUN
iajs-2615	302	41	e	e	NOUN
iajs-2615	302	42	]	]	PUNCT
iajs-2615	302	43	.	.	PUNCT
iajs-2615	303	1	now	now	ADV
iajs-2615	303	2	,	,	PUNCT
iajs-2615	303	3	0	0	NUM
iajs-2615	303	4	≠	≠	PROPN
iajs-2615	303	5	(	(	PUNCT
iajs-2615	303	6	r	r	NOUN
iajs-2615	303	7	+	+	NOUN
iajs-2615	303	8	x	x	X
iajs-2615	303	9	)	)	PUNCT
iajs-2615	303	10	(	(	PUNCT
iajs-2615	303	11	s	s	X
iajs-2615	303	12	+	+	X
iajs-2615	303	13	y	y	NOUN
iajs-2615	303	14	)	)	PUNCT
iajs-2615	303	15	e	e	X
iajs-2615	303	16	=	=	SYM
iajs-2615	303	17	rse	rse	PROPN
iajs-2615	303	18	+	+	CCONJ
iajs-2615	303	19	rye	rye	NOUN
iajs-2615	303	20	+	+	X
iajs-2615	303	21	xse	xse	PROPN
iajs-2615	303	22	+	+	CCONJ
iajs-2615	303	23	xye	xye	NOUN
iajs-2615	304	1	=	=	SYM
iajs-2615	304	2	xye	xye	PROPN
iajs-2615	304	3			NOUN
iajs-2615	304	4	a	a	PRON
iajs-2615	304	5	(	(	PUNCT
iajs-2615	304	6	since	since	SCONJ
iajs-2615	304	7	rse	rse	ADJ
iajs-2615	304	8	=	=	SYM
iajs-2615	304	9	0	0	NUM
iajs-2615	304	10	,	,	PUNCT
iajs-2615	304	11	rye	rye	NOUN
iajs-2615	304	12	=	=	SYM
iajs-2615	304	13	0	0	PROPN
iajs-2615	304	14	,	,	PUNCT
iajs-2615	304	15	xse	xse	PROPN
iajs-2615	304	16	=	=	PUNCT
iajs-2615	304	17	0	0	NUM
iajs-2615	305	1	by	by	ADP
iajs-2615	305	2	proposition	proposition	NOUN
iajs-2615	305	3	(	(	PUNCT
iajs-2615	305	4	16)).it	16)).it	PROPN
iajs-2615	305	5	follows	follow	VERB
iajs-2615	305	6	that	that	SCONJ
iajs-2615	305	7	either	either	CCONJ
iajs-2615	305	8	(	(	PUNCT
iajs-2615	305	9	r	r	NOUN
iajs-2615	305	10	+	+	NOUN
iajs-2615	305	11	x	x	X
iajs-2615	305	12	)	)	PUNCT
iajs-2615	305	13	e	e	X
iajs-2615	305	14	=	=	SYM
iajs-2615	305	15	re	re	PROPN
iajs-2615	305	16	+	+	PROPN
iajs-2615	305	17	xe	xe	PROPN
iajs-2615	305	18			NOUN
iajs-2615	305	19	a	a	DET
iajs-2615	305	20	+	+	X
iajs-2615	305	21	soc	soc	NOUN
iajs-2615	305	22	(	(	PUNCT
iajs-2615	305	23	e	e	NOUN
iajs-2615	305	24	)	)	PUNCT
iajs-2615	305	25	,	,	PUNCT
iajs-2615	305	26	implies	imply	VERB
iajs-2615	305	27	that	that	SCONJ
iajs-2615	305	28	re	re	ADP
iajs-2615	305	29			NOUN
iajs-2615	305	30	a	a	DET
iajs-2615	305	31	+	+	X
iajs-2615	305	32	soc	soc	NOUN
iajs-2615	305	33	(	(	PUNCT
iajs-2615	305	34	e	e	NOUN
iajs-2615	305	35	)	)	PUNCT
iajs-2615	305	36	a	a	DET
iajs-2615	305	37	contradiction	contradiction	NOUN
iajs-2615	305	38	.	.	PUNCT
iajs-2615	306	1	or	or	CCONJ
iajs-2615	306	2	(	(	PUNCT
iajs-2615	306	3	s	s	X
iajs-2615	306	4	+	+	X
iajs-2615	306	5	y	y	NOUN
iajs-2615	306	6	)	)	PUNCT
iajs-2615	306	7	e	e	X
iajs-2615	306	8	=	=	PUNCT
iajs-2615	306	9	se	se	X
iajs-2615	306	10	+	+	CCONJ
iajs-2615	306	11	ye	ye	PRON
iajs-2615	306	12			NOUN
iajs-2615	306	13	a	a	DET
iajs-2615	306	14	+	+	X
iajs-2615	306	15	soc	soc	NOUN
iajs-2615	306	16	(	(	PUNCT
iajs-2615	306	17	e	e	NOUN
iajs-2615	306	18	)	)	PUNCT
iajs-2615	306	19	,	,	PUNCT
iajs-2615	306	20	implies	imply	VERB
iajs-2615	306	21	that	that	SCONJ
iajs-2615	306	22	se	se	PROPN
iajs-2615	306	23			PROPN
iajs-2615	306	24	a	a	DET
iajs-2615	306	25	+	+	X
iajs-2615	306	26	soc	soc	NOUN
iajs-2615	306	27	(	(	PUNCT
iajs-2615	306	28	e	e	NOUN
iajs-2615	306	29	)	)	PUNCT
iajs-2615	306	30	a	a	DET
iajs-2615	306	31	contradiction	contradiction	NOUN
iajs-2615	306	32	,	,	PUNCT
iajs-2615	306	33	or	or	CCONJ
iajs-2615	306	34	(	(	PUNCT
iajs-2615	306	35	r	r	NOUN
iajs-2615	306	36	+	+	NOUN
iajs-2615	306	37	x	x	X
iajs-2615	306	38	)	)	PUNCT
iajs-2615	306	39	(	(	PUNCT
iajs-2615	306	40	s	s	X
iajs-2615	306	41	+	+	X
iajs-2615	306	42	y	y	NOUN
iajs-2615	306	43	)	)	PUNCT
iajs-2615	307	1	=	=	PUNCT
iajs-2615	308	1	rs	r	NOUN
iajs-2615	309	1	+	+	CCONJ
iajs-2615	309	2	ry	ry	NOUN
iajs-2615	309	3	+	+	NUM
iajs-2615	309	4	xs	xs	PROPN
iajs-2615	310	1	+	+	NUM
iajs-2615	310	2	xy	xy	PROPN
iajs-2615	310	3			NOUN
iajs-2615	310	4	[	[	PUNCT
iajs-2615	310	5	a	a	DET
iajs-2615	310	6	+	+	X
iajs-2615	310	7	soc	soc	NOUN
iajs-2615	310	8	(	(	PUNCT
iajs-2615	310	9	e	e	NOUN
iajs-2615	310	10	)	)	PUNCT
iajs-2615	310	11	:	:	PUNCT
iajs-2615	310	12	r	r	NOUN
iajs-2615	310	13	e	e	NOUN
iajs-2615	310	14	]	]	PUNCT
iajs-2615	310	15	,	,	PUNCT
iajs-2615	310	16	implies	imply	VERB
iajs-2615	310	17	that	that	SCONJ
iajs-2615	310	18	rs	rs	ADJ
iajs-2615	310	19			NOUN
iajs-2615	310	20	[	[	PUNCT
iajs-2615	310	21	a	a	DET
iajs-2615	310	22	+	+	X
iajs-2615	310	23	soc	soc	NOUN
iajs-2615	310	24	(	(	PUNCT
iajs-2615	310	25	e	e	NOUN
iajs-2615	310	26	)	)	PUNCT
iajs-2615	310	27	:	:	PUNCT
iajs-2615	310	28	r	r	NOUN
iajs-2615	310	29	e	e	X
iajs-2615	310	30	]	]	X
iajs-2615	310	31	a	a	DET
iajs-2615	310	32	contradiction	contradiction	NOUN
iajs-2615	310	33	.	.	PUNCT
iajs-2615	311	1	hence	hence	ADV
iajs-2615	311	2	[	[	PUNCT
iajs-2615	311	3	a	a	PRON
iajs-2615	311	4	:	:	PUNCT
iajs-2615	311	5	r	r	NOUN
iajs-2615	311	6	e	e	NOUN
iajs-2615	311	7	]	]	X
iajs-2615	311	8	[	[	PUNCT
iajs-2615	311	9	a	a	X
iajs-2615	311	10	:	:	PUNCT
iajs-2615	311	11	r	r	NOUN
iajs-2615	311	12	e	e	NOUN
iajs-2615	311	13	]	]	X
iajs-2615	311	14	e	e	X
iajs-2615	311	15	=	=	SYM
iajs-2615	311	16	(	(	PUNCT
iajs-2615	311	17	0	0	NUM
iajs-2615	311	18	)	)	PUNCT
iajs-2615	311	19	.	.	PUNCT
iajs-2615	312	1	proposition	proposition	NOUN
iajs-2615	312	2	20	20	NUM
iajs-2615	312	3	.	.	PUNCT
iajs-2615	313	1	if	if	SCONJ
iajs-2615	313	2	a	a	PRON
iajs-2615	313	3	is	be	AUX
iajs-2615	313	4	a	a	DET
iajs-2615	313	5	wp	wp	NOUN
iajs-2615	313	6	–	–	PUNCT
iajs-2615	313	7	2	2	NUM
iajs-2615	313	8	–	–	PUNCT
iajs-2615	313	9	absorbing	absorb	VERB
iajs-2615	313	10	submodule	submodule	NOUN
iajs-2615	313	11	of	of	ADP
iajs-2615	313	12	e	e	PROPN
iajs-2615	313	13	with	with	ADP
iajs-2615	313	14	(	(	PUNCT
iajs-2615	313	15	r	r	NOUN
iajs-2615	313	16	,	,	PUNCT
iajs-2615	313	17	s	s	PART
iajs-2615	313	18	,	,	PUNCT
iajs-2615	313	19	e	e	NOUN
iajs-2615	313	20	)	)	PUNCT
iajs-2615	313	21	is	be	AUX
iajs-2615	313	22	a	a	DET
iajs-2615	313	23	wp	wp	NOUN
iajs-2615	313	24	–	–	PUNCT
iajs-2615	313	25	triple	triple	NOUN
iajs-2615	313	26	zero	zero	NUM
iajs-2615	313	27	of	of	ADP
iajs-2615	313	28	a	a	PRON
iajs-2615	313	29	for	for	ADP
iajs-2615	313	30	some	some	PRON
iajs-2615	313	31	r	r	NOUN
iajs-2615	313	32	,	,	PUNCT
iajs-2615	313	33	s	s	PART
iajs-2615	313	34			PROPN
iajs-2615	313	35	r	r	NOUN
iajs-2615	313	36	,	,	PUNCT
iajs-2615	313	37	e	e	X
iajs-2615	313	38			PROPN
iajs-2615	313	39	e	e	X
iajs-2615	313	40	,	,	PUNCT
iajs-2615	313	41	then	then	ADV
iajs-2615	313	42	[	[	PUNCT
iajs-2615	313	43	a	a	X
iajs-2615	313	44	:	:	PUNCT
iajs-2615	313	45	r	r	NOUN
iajs-2615	313	46	e	e	NOUN
iajs-2615	313	47	]	]	X
iajs-2615	313	48	[	[	PUNCT
iajs-2615	313	49	a	a	X
iajs-2615	313	50	:	:	PUNCT
iajs-2615	313	51	r	r	NOUN
iajs-2615	313	52	e	e	NOUN
iajs-2615	313	53	]	]	X
iajs-2615	313	54	a	a	X
iajs-2615	313	55	=	=	X
iajs-2615	313	56	(	(	PUNCT
iajs-2615	313	57	0	0	NUM
iajs-2615	313	58	)	)	PUNCT
iajs-2615	313	59	.	.	PUNCT
iajs-2615	314	1	proof	proof	NOUN
iajs-2615	314	2	:	:	PUNCT
iajs-2615	314	3	by	by	ADP
iajs-2615	314	4	proposition	proposition	NOUN
iajs-2615	314	5	(	(	PUNCT
iajs-2615	314	6	14	14	NUM
iajs-2615	314	7	)	)	PUNCT
iajs-2615	314	8	and	and	CCONJ
iajs-2615	314	9	proposition	proposition	NOUN
iajs-2615	314	10	(	(	PUNCT
iajs-2615	314	11	19	19	NUM
iajs-2615	314	12	)	)	PUNCT
iajs-2615	314	13	.	.	PUNCT
iajs-2615	315	1	proposition	proposition	NOUN
iajs-2615	315	2	21	21	NUM
iajs-2615	315	3	.	.	PUNCT
iajs-2615	316	1	let	let	VERB
iajs-2615	316	2	a	a	DET
iajs-2615	316	3	be	be	AUX
iajs-2615	316	4	a	a	DET
iajs-2615	316	5	wp	wp	NOUN
iajs-2615	316	6	–	–	PUNCT
iajs-2615	316	7	2	2	NUM
iajs-2615	316	8	–	–	PUNCT
iajs-2615	316	9	absorbing	absorb	VERB
iajs-2615	316	10	submodule	submodule	NOUN
iajs-2615	316	11	of	of	ADP
iajs-2615	316	12	e	e	PROPN
iajs-2615	316	13	and	and	CCONJ
iajs-2615	316	14	rsb	rsb	PROPN
iajs-2615	316	15			PROPN
iajs-2615	316	16	a	a	PRON
iajs-2615	316	17	for	for	ADP
iajs-2615	316	18	some	some	DET
iajs-2615	316	19	r	r	NOUN
iajs-2615	316	20	,	,	PUNCT
iajs-2615	316	21	s	s	PART
iajs-2615	316	22			NOUN
iajs-2615	316	23	r	r	NOUN
iajs-2615	316	24	,	,	PUNCT
iajs-2615	316	25	and	and	CCONJ
iajs-2615	316	26	some	some	DET
iajs-2615	316	27	submodule	submodule	PROPN
iajs-2615	316	28	b	b	PROPN
iajs-2615	316	29	of	of	ADP
iajs-2615	316	30	e	e	NOUN
iajs-2615	316	31	with	with	ADP
iajs-2615	316	32	(	(	PUNCT
iajs-2615	316	33	r	r	NOUN
iajs-2615	316	34	,	,	PUNCT
iajs-2615	316	35	s	s	PART
iajs-2615	316	36	,	,	PUNCT
iajs-2615	316	37	x	x	X
iajs-2615	316	38	)	)	PUNCT
iajs-2615	316	39	is	be	AUX
iajs-2615	316	40	not	not	PART
iajs-2615	316	41	wp	wp	PROPN
iajs-2615	316	42	–	–	PUNCT
iajs-2615	316	43	triple	triple	ADJ
iajs-2615	316	44	zero	zero	NUM
iajs-2615	316	45	of	of	ADP
iajs-2615	316	46	a	a	PRON
iajs-2615	316	47	for	for	ADP
iajs-2615	316	48	every	every	DET
iajs-2615	316	49	x	x	PROPN
iajs-2615	316	50			PROPN
iajs-2615	316	51	b	b	NOUN
iajs-2615	316	52	.	.	PUNCT
iajs-2615	317	1	if	if	SCONJ
iajs-2615	317	2	rs	rs	ADV
iajs-2615	317	3			PUNCT
iajs-2615	318	1	[	[	X
iajs-2615	318	2	a	a	DET
iajs-2615	318	3	+	+	X
iajs-2615	318	4	soc	soc	NOUN
iajs-2615	318	5	(	(	PUNCT
iajs-2615	318	6	e	e	NOUN
iajs-2615	318	7	)	)	PUNCT
iajs-2615	318	8	:	:	PUNCT
iajs-2615	318	9	r	r	NOUN
iajs-2615	318	10	e	e	NOUN
iajs-2615	318	11	]	]	X
iajs-2615	318	12	,	,	PUNCT
iajs-2615	318	13	then	then	ADV
iajs-2615	318	14	rx	rx	VERB
iajs-2615	318	15			PROPN
iajs-2615	318	16	a	a	DET
iajs-2615	318	17	+	+	X
iajs-2615	318	18	soc	soc	NOUN
iajs-2615	318	19	(	(	PUNCT
iajs-2615	318	20	e	e	NOUN
iajs-2615	318	21	)	)	PUNCT
iajs-2615	318	22	or	or	CCONJ
iajs-2615	318	23	sx	sx	PROPN
iajs-2615	318	24			PROPN
iajs-2615	318	25	a	a	DET
iajs-2615	318	26	+	+	X
iajs-2615	318	27	soc	soc	NOUN
iajs-2615	318	28	(	(	PUNCT
iajs-2615	318	29	e	e	NOUN
iajs-2615	318	30	)	)	PUNCT
iajs-2615	318	31	.	.	PUNCT
iajs-2615	319	1	proof	proof	NOUN
iajs-2615	319	2	:	:	PUNCT
iajs-2615	319	3	suppose	suppose	VERB
iajs-2615	319	4	that	that	SCONJ
iajs-2615	319	5	(	(	PUNCT
iajs-2615	319	6	r	r	NOUN
iajs-2615	319	7	,	,	PUNCT
iajs-2615	319	8	s	s	PART
iajs-2615	319	9	,	,	PUNCT
iajs-2615	319	10	x	x	X
iajs-2615	319	11	)	)	PUNCT
iajs-2615	319	12	is	be	AUX
iajs-2615	319	13	not	not	PART
iajs-2615	319	14	wp	wp	PROPN
iajs-2615	319	15	–	–	PUNCT
iajs-2615	319	16	triple	triple	ADJ
iajs-2615	319	17	zero	zero	NUM
iajs-2615	319	18	of	of	ADP
iajs-2615	319	19	a	a	PRON
iajs-2615	319	20	for	for	ADP
iajs-2615	319	21	every	every	DET
iajs-2615	319	22	x	x	PROPN
iajs-2615	319	23			PROPN
iajs-2615	319	24	b	b	NOUN
iajs-2615	319	25	and	and	CCONJ
iajs-2615	319	26	suppose	suppose	VERB
iajs-2615	319	27	that	that	SCONJ
iajs-2615	319	28	rb	rb	VERB
iajs-2615	319	29			PROPN
iajs-2615	319	30	a	a	DET
iajs-2615	319	31	+	+	NUM
iajs-2615	319	32	soc	soc	NOUN
iajs-2615	319	33	(	(	PUNCT
iajs-2615	319	34	e	e	NOUN
iajs-2615	319	35	)	)	PUNCT
iajs-2615	319	36	and	and	CCONJ
iajs-2615	319	37	sb	sb	PROPN
iajs-2615	319	38			PROPN
iajs-2615	319	39	a	a	DET
iajs-2615	319	40	+	+	NUM
iajs-2615	319	41	soc	soc	NOUN
iajs-2615	319	42	(	(	PUNCT
iajs-2615	319	43	e	e	NOUN
iajs-2615	319	44	)	)	PUNCT
iajs-2615	319	45	,	,	PUNCT
iajs-2615	319	46	then	then	ADV
iajs-2615	319	47	ry1	ry1	VERB
iajs-2615	319	48			VERB
iajs-2615	319	49	a	a	DET
iajs-2615	319	50	+	+	X
iajs-2615	319	51	soc	soc	NOUN
iajs-2615	319	52	(	(	PUNCT
iajs-2615	319	53	e	e	NOUN
iajs-2615	319	54	)	)	PUNCT
iajs-2615	319	55	or	or	CCONJ
iajs-2615	319	56	sy2	sy2	ADJ
iajs-2615	319	57			VERB
iajs-2615	319	58	a	a	DET
iajs-2615	319	59	+	+	X
iajs-2615	319	60	soc	soc	NOUN
iajs-2615	319	61	(	(	PUNCT
iajs-2615	319	62	e	e	NOUN
iajs-2615	319	63	)	)	PUNCT
iajs-2615	319	64	for	for	ADP
iajs-2615	319	65	some	some	DET
iajs-2615	319	66	y1	y1	NOUN
iajs-2615	319	67	,	,	PUNCT
iajs-2615	319	68	y2	y2	PROPN
iajs-2615	319	69			PROPN
iajs-2615	319	70	b.	b.	PROPN
iajs-2615	320	1	if	if	SCONJ
iajs-2615	320	2	0	0	NUM
iajs-2615	320	3	≠	≠	PROPN
iajs-2615	320	4	rsy1	rsy1	NOUN
iajs-2615	320	5	a	a	NUM
iajs-2615	320	6	with	with	ADP
iajs-2615	320	7	rs	rs	NOUN
iajs-2615	320	8			NOUN
iajs-2615	321	1	[	[	X
iajs-2615	321	2	a	a	DET
iajs-2615	321	3	+	+	X
iajs-2615	321	4	soc	soc	NOUN
iajs-2615	321	5	(	(	PUNCT
iajs-2615	321	6	e	e	NOUN
iajs-2615	321	7	)	)	PUNCT
iajs-2615	321	8	:	:	PUNCT
iajs-2615	321	9	r	r	NOUN
iajs-2615	321	10	e	e	NOUN
iajs-2615	321	11	]	]	PUNCT
iajs-2615	321	12	and	and	CCONJ
iajs-2615	321	13	since	since	SCONJ
iajs-2615	321	14	ry1	ry1	PROPN
iajs-2615	321	15			VERB
iajs-2615	321	16	a	a	DET
iajs-2615	321	17	+	+	X
iajs-2615	321	18	soc	soc	NOUN
iajs-2615	321	19	(	(	PUNCT
iajs-2615	321	20	e	e	NOUN
iajs-2615	321	21	)	)	PUNCT
iajs-2615	321	22	then	then	ADV
iajs-2615	321	23	sy1	sy1	VERB
iajs-2615	321	24			NOUN
iajs-2615	321	25	a	a	DET
iajs-2615	321	26	+	+	X
iajs-2615	321	27	soc	soc	NOUN
iajs-2615	321	28	(	(	PUNCT
iajs-2615	321	29	e	e	NOUN
iajs-2615	321	30	)	)	PUNCT
iajs-2615	321	31	(	(	PUNCT
iajs-2615	321	32	for	for	ADP
iajs-2615	321	33	a	a	PRON
iajs-2615	321	34	is	be	AUX
iajs-2615	321	35	a	a	DET
iajs-2615	321	36	wp	wp	NOUN
iajs-2615	321	37	–	–	PUNCT
iajs-2615	321	38	2	2	NUM
iajs-2615	321	39	–	–	PUNCT
iajs-2615	321	40	absorbing	absorb	VERB
iajs-2615	321	41	submodule	submodule	NOUN
iajs-2615	321	42	)	)	PUNCT
iajs-2615	321	43	.	.	PUNCT
iajs-2615	322	1	if	if	SCONJ
iajs-2615	322	2	rsy1	rsy1	NOUN
iajs-2615	322	3	=	=	PUNCT
iajs-2615	322	4	0	0	NUM
iajs-2615	322	5	and	and	CCONJ
iajs-2615	322	6	ry1	ry1	PROPN
iajs-2615	322	7			VERB
iajs-2615	322	8	a	a	DET
iajs-2615	322	9	+	+	X
iajs-2615	322	10	soc	soc	NOUN
iajs-2615	322	11	(	(	PUNCT
iajs-2615	322	12	e	e	NOUN
iajs-2615	322	13	)	)	PUNCT
iajs-2615	322	14	,	,	PUNCT
iajs-2615	322	15	rs	rs	INTJ
iajs-2615	322	16			PUNCT
iajs-2615	323	1	[	[	X
iajs-2615	323	2	a	a	DET
iajs-2615	323	3	+	+	X
iajs-2615	323	4	soc	soc	NOUN
iajs-2615	323	5	(	(	PUNCT
iajs-2615	323	6	e	e	NOUN
iajs-2615	323	7	)	)	PUNCT
iajs-2615	323	8	:	:	PUNCT
iajs-2615	323	9	r	r	NOUN
iajs-2615	323	10	e	e	NOUN
iajs-2615	323	11	]	]	PUNCT
iajs-2615	323	12	and	and	CCONJ
iajs-2615	323	13	(	(	PUNCT
iajs-2615	323	14	r	r	NOUN
iajs-2615	323	15	,	,	PUNCT
iajs-2615	323	16	s	s	PART
iajs-2615	323	17	,	,	PUNCT
iajs-2615	323	18	y1	y1	INTJ
iajs-2615	323	19	)	)	PUNCT
iajs-2615	323	20	is	be	AUX
iajs-2615	323	21	not	not	PART
iajs-2615	323	22	wp	wp	PROPN
iajs-2615	323	23	–	–	PUNCT
iajs-2615	323	24	triple	triple	ADJ
iajs-2615	323	25	zero	zero	NUM
iajs-2615	323	26	of	of	ADP
iajs-2615	323	27	a	a	PRON
iajs-2615	323	28	,	,	PUNCT
iajs-2615	323	29	we	we	PRON
iajs-2615	323	30	get	get	VERB
iajs-2615	323	31	sy1	sy1	ADJ
iajs-2615	323	32	a	a	DET
iajs-2615	323	33	+	+	NUM
iajs-2615	323	34	soc	soc	NOUN
iajs-2615	323	35	(	(	PUNCT
iajs-2615	323	36	e	e	NOUN
iajs-2615	323	37	)	)	PUNCT
iajs-2615	323	38	.	.	PUNCT
iajs-2615	324	1	by	by	ADP
iajs-2615	324	2	similar	similar	ADJ
iajs-2615	324	3	arguments	argument	NOUN
iajs-2615	324	4	since	since	SCONJ
iajs-2615	324	5	(	(	PUNCT
iajs-2615	324	6	r	r	NOUN
iajs-2615	324	7	,	,	PUNCT
iajs-2615	324	8	s	s	PART
iajs-2615	324	9	,	,	PUNCT
iajs-2615	324	10	y2	y2	PROPN
iajs-2615	324	11	)	)	PUNCT
iajs-2615	324	12	is	be	AUX
iajs-2615	324	13	not	not	PART
iajs-2615	324	14	wp	wp	PROPN
iajs-2615	324	15	–	–	PUNCT
iajs-2615	324	16	triple	triple	ADJ
iajs-2615	324	17	zero	zero	NUM
iajs-2615	324	18	of	of	ADP
iajs-2615	324	19	a	a	PRON
iajs-2615	324	20	,	,	PUNCT
iajs-2615	324	21	we	we	PRON
iajs-2615	324	22	get	get	VERB
iajs-2615	324	23	ry2	ry2	PROPN
iajs-2615	324	24			PROPN
iajs-2615	324	25	a	a	DET
iajs-2615	324	26	+	+	X
iajs-2615	324	27	soc	soc	NOUN
iajs-2615	324	28	(	(	PUNCT
iajs-2615	324	29	e	e	NOUN
iajs-2615	324	30	)	)	PUNCT
iajs-2615	324	31	.	.	PUNCT
iajs-2615	325	1	now	now	ADV
iajs-2615	325	2	,	,	PUNCT
iajs-2615	325	3	rs	rs	INTJ
iajs-2615	325	4	(	(	PUNCT
iajs-2615	325	5	y1	y1	INTJ
iajs-2615	325	6	+	+	NOUN
iajs-2615	325	7	y2	y2	PROPN
iajs-2615	325	8	)	)	PUNCT
iajs-2615	325	9			NOUN
iajs-2615	325	10	a	a	PRON
iajs-2615	325	11	and	and	CCONJ
iajs-2615	325	12	(	(	PUNCT
iajs-2615	325	13	r	r	NOUN
iajs-2615	325	14	1	1	NUM
iajs-2615	325	15	s	s	PART
iajs-2615	325	16	,	,	PUNCT
iajs-2615	325	17	y1	y1	INTJ
iajs-2615	325	18	+	+	CCONJ
iajs-2615	325	19	y2	y2	NOUN
iajs-2615	325	20	)	)	PUNCT
iajs-2615	325	21	is	be	AUX
iajs-2615	325	22	not	not	PART
iajs-2615	325	23	wp	wp	PROPN
iajs-2615	325	24	–	–	PUNCT
iajs-2615	325	25	triple	triple	ADJ
iajs-2615	325	26	zero	zero	NUM
iajs-2615	325	27	of	of	ADP
iajs-2615	325	28	a	a	PRON
iajs-2615	325	29	and	and	CCONJ
iajs-2615	325	30	rs	rs	ADJ
iajs-2615	325	31			NOUN
iajs-2615	326	1	[	[	X
iajs-2615	326	2	a	a	DET
iajs-2615	326	3	+	+	X
iajs-2615	326	4	soc	soc	NOUN
iajs-2615	326	5	(	(	PUNCT
iajs-2615	326	6	e	e	NOUN
iajs-2615	326	7	)	)	PUNCT
iajs-2615	326	8	:	:	PUNCT
iajs-2615	326	9	r	r	NOUN
iajs-2615	326	10	e	e	NOUN
iajs-2615	326	11	]	]	PUNCT
iajs-2615	326	12	,	,	PUNCT
iajs-2615	326	13	we	we	PRON
iajs-2615	326	14	get	get	VERB
iajs-2615	326	15	r	r	NOUN
iajs-2615	326	16	(	(	PUNCT
iajs-2615	326	17	y1	y1	INTJ
iajs-2615	326	18	+	+	NOUN
iajs-2615	326	19	y2	y2	PROPN
iajs-2615	326	20	)	)	PUNCT
iajs-2615	326	21			NOUN
iajs-2615	326	22	a	a	DET
iajs-2615	326	23	+	+	X
iajs-2615	326	24	soc	soc	NOUN
iajs-2615	326	25	(	(	PUNCT
iajs-2615	326	26	e	e	NOUN
iajs-2615	326	27	)	)	PUNCT
iajs-2615	326	28	or	or	CCONJ
iajs-2615	326	29	s(y1	s(y1	VERB
iajs-2615	326	30	+	+	CCONJ
iajs-2615	326	31	y2	y2	PROPN
iajs-2615	326	32	)	)	PUNCT
iajs-2615	326	33			NOUN
iajs-2615	326	34	a	a	DET
iajs-2615	326	35	+	+	X
iajs-2615	326	36	soc	soc	NOUN
iajs-2615	326	37	(	(	PUNCT
iajs-2615	326	38	e	e	NOUN
iajs-2615	326	39	)	)	PUNCT
iajs-2615	326	40	.	.	PUNCT
iajs-2615	327	1	if	if	SCONJ
iajs-2615	327	2	r	r	NOUN
iajs-2615	327	3	(	(	PUNCT
iajs-2615	327	4	y1	y1	INTJ
iajs-2615	327	5	+	+	NOUN
iajs-2615	327	6	y2	y2	NOUN
iajs-2615	327	7	)	)	PUNCT
iajs-2615	328	1	=	=	PUNCT
iajs-2615	328	2	ry1	ry1	VERB
iajs-2615	328	3	+	+	CCONJ
iajs-2615	328	4	ry2	ry2	PROPN
iajs-2615	328	5			NOUN
iajs-2615	328	6	a	a	DET
iajs-2615	328	7	+	+	X
iajs-2615	328	8	soc	soc	NOUN
iajs-2615	328	9	(	(	PUNCT
iajs-2615	328	10	e	e	NOUN
iajs-2615	328	11	)	)	PUNCT
iajs-2615	328	12	and	and	CCONJ
iajs-2615	328	13	ry2	ry2	VERB
iajs-2615	328	14			PROPN
iajs-2615	328	15	a	a	DET
iajs-2615	328	16	+	+	X
iajs-2615	328	17	soc	soc	NOUN
iajs-2615	328	18	(	(	PUNCT
iajs-2615	328	19	e	e	NOUN
iajs-2615	328	20	)	)	PUNCT
iajs-2615	328	21	,	,	PUNCT
iajs-2615	328	22	we	we	PRON
iajs-2615	328	23	get	get	VERB
iajs-2615	328	24	ry1	ry1	ADJ
iajs-2615	328	25			NOUN
iajs-2615	328	26	a	a	DET
iajs-2615	328	27	+	+	X
iajs-2615	328	28	soc	soc	NOUN
iajs-2615	328	29	(	(	PUNCT
iajs-2615	328	30	e	e	NOUN
iajs-2615	328	31	)	)	PUNCT
iajs-2615	328	32	is	be	AUX
iajs-2615	328	33	a	a	DET
iajs-2615	328	34	contradiction	contradiction	NOUN
iajs-2615	328	35	.	.	PUNCT
iajs-2615	329	1	96	96	NUM
iajs-2615	329	2	ibn	ibn	PROPN
iajs-2615	329	3	al	al	PROPN
iajs-2615	329	4	-	-	PUNCT
iajs-2615	329	5	haitham	haitham	PROPN
iajs-2615	329	6	jour	jour	X
iajs-2615	329	7	.	.	PROPN
iajs-2615	329	8	for	for	ADP
iajs-2615	329	9	pure	pure	ADJ
iajs-2615	329	10	&	&	CCONJ
iajs-2615	329	11	appl	appl	PROPN
iajs-2615	329	12	.	.	PUNCT
iajs-2615	330	1	sci	sci	PROPN
iajs-2615	330	2	.	.	PROPN
iajs-2615	331	1	34	34	NUM
iajs-2615	331	2	(	(	PUNCT
iajs-2615	331	3	2	2	NUM
iajs-2615	331	4	)	)	PUNCT
iajs-2615	331	5	2021	2021	NUM
iajs-2615	331	6	if	if	SCONJ
iajs-2615	331	7	s	s	X
iajs-2615	331	8	(	(	PUNCT
iajs-2615	331	9	y1	y1	INTJ
iajs-2615	331	10	+	+	NOUN
iajs-2615	332	1	y2	y2	NOUN
iajs-2615	332	2	)	)	PUNCT
iajs-2615	333	1	=	=	SYM
iajs-2615	333	2	sy1	sy1	NOUN
iajs-2615	333	3	+	+	CCONJ
iajs-2615	333	4	sy2	sy2	VERB
iajs-2615	333	5			NOUN
iajs-2615	333	6	a	a	DET
iajs-2615	333	7	+	+	X
iajs-2615	333	8	soc	soc	NOUN
iajs-2615	333	9	(	(	PUNCT
iajs-2615	333	10	e	e	NOUN
iajs-2615	333	11	)	)	PUNCT
iajs-2615	333	12	and	and	CCONJ
iajs-2615	333	13	sy1	sy1	VERB
iajs-2615	333	14	a	a	DET
iajs-2615	333	15	+	+	NUM
iajs-2615	333	16	soc	soc	NOUN
iajs-2615	333	17	(	(	PUNCT
iajs-2615	333	18	e	e	NOUN
iajs-2615	333	19	)	)	PUNCT
iajs-2615	333	20	then	then	ADV
iajs-2615	333	21	sy2	sy2	VERB
iajs-2615	333	22			PROPN
iajs-2615	333	23	a	a	DET
iajs-2615	333	24	+	+	X
iajs-2615	333	25	soc	soc	NOUN
iajs-2615	333	26	(	(	PUNCT
iajs-2615	333	27	e	e	NOUN
iajs-2615	333	28	)	)	PUNCT
iajs-2615	333	29	is	be	AUX
iajs-2615	333	30	a	a	DET
iajs-2615	333	31	contradiction	contradiction	NOUN
iajs-2615	333	32	.	.	PUNCT
iajs-2615	334	1	hence	hence	ADV
iajs-2615	334	2	rb	rb	PROPN
iajs-2615	334	3			PROPN
iajs-2615	334	4	a	a	DET
iajs-2615	334	5	+	+	X
iajs-2615	334	6	soc	soc	NOUN
iajs-2615	334	7	(	(	PUNCT
iajs-2615	334	8	e	e	NOUN
iajs-2615	334	9	)	)	PUNCT
iajs-2615	334	10	or	or	CCONJ
iajs-2615	334	11	sb	sb	PROPN
iajs-2615	334	12			PROPN
iajs-2615	334	13	a	a	DET
iajs-2615	334	14	+	+	X
iajs-2615	334	15	soc	soc	NOUN
iajs-2615	334	16	(	(	PUNCT
iajs-2615	334	17	e	e	NOUN
iajs-2615	334	18	)	)	PUNCT
iajs-2615	334	19	.	.	PUNCT
iajs-2615	335	1	proposition	proposition	NOUN
iajs-2615	335	2	22	22	NUM
iajs-2615	335	3	.	.	PUNCT
iajs-2615	336	1	let	let	VERB
iajs-2615	336	2	a	a	DET
iajs-2615	336	3	,	,	PUNCT
iajs-2615	336	4	b	b	PROPN
iajs-2615	336	5	be	be	AUX
iajs-2615	336	6	wp	wp	PROPN
iajs-2615	336	7	–	–	PUNCT
iajs-2615	336	8	2	2	NUM
iajs-2615	336	9	–	–	PUNCT
iajs-2615	336	10	absorbing	absorb	VERB
iajs-2615	336	11	submodule	submodule	NOUN
iajs-2615	336	12	of	of	ADP
iajs-2615	336	13	e	e	PROPN
iajs-2615	336	14	with	with	ADP
iajs-2615	336	15	b	b	PROPN
iajs-2615	336	16	is	be	AUX
iajs-2615	336	17	not	not	PART
iajs-2615	336	18	contained	contain	VERB
iajs-2615	336	19	in	in	ADP
iajs-2615	336	20	a	a	PRON
iajs-2615	336	21	and	and	CCONJ
iajs-2615	336	22	either	either	PRON
iajs-2615	336	23	soc	soc	NOUN
iajs-2615	336	24	(	(	PUNCT
iajs-2615	336	25	e	e	NOUN
iajs-2615	336	26	)	)	PUNCT
iajs-2615	336	27			PROPN
iajs-2615	336	28	a	a	PRON
iajs-2615	336	29	or	or	CCONJ
iajs-2615	336	30	soc	soc	NOUN
iajs-2615	336	31	(	(	PUNCT
iajs-2615	336	32	e	e	NOUN
iajs-2615	336	33	)	)	PUNCT
iajs-2615	337	1			PROPN
iajs-2615	337	2	b	b	PROPN
iajs-2615	337	3	.	.	PUNCT
iajs-2615	338	1	then	then	ADV
iajs-2615	338	2	a	a	DET
iajs-2615	338	3	∩	∩	ADJ
iajs-2615	338	4	b	b	NOUN
iajs-2615	338	5	is	be	AUX
iajs-2615	338	6	a	a	DET
iajs-2615	338	7	wp	wp	NOUN
iajs-2615	338	8	–	–	PUNCT
iajs-2615	338	9	2	2	NUM
iajs-2615	338	10	–	–	PUNCT
iajs-2615	338	11	absorbing	absorb	VERB
iajs-2615	338	12	submodule	submodule	NOUN
iajs-2615	338	13	of	of	ADP
iajs-2615	338	14	e	e	PROPN
iajs-2615	338	15	.	.	PUNCT
iajs-2615	339	1	proof	proof	NOUN
iajs-2615	339	2	:	:	PUNCT
iajs-2615	339	3	it	it	PRON
iajs-2615	339	4	is	be	AUX
iajs-2615	339	5	clear	clear	ADJ
iajs-2615	339	6	that	that	SCONJ
iajs-2615	339	7	a	a	DET
iajs-2615	339	8	∩	∩	ADJ
iajs-2615	339	9	b	b	NOUN
iajs-2615	339	10	is	be	AUX
iajs-2615	339	11	a	a	DET
iajs-2615	339	12	proper	proper	ADJ
iajs-2615	339	13	submodule	submodule	NOUN
iajs-2615	339	14	of	of	ADP
iajs-2615	339	15	b	b	PROPN
iajs-2615	339	16	and	and	CCONJ
iajs-2615	339	17	b	b	PROPN
iajs-2615	339	18	is	be	AUX
iajs-2615	339	19	a	a	DET
iajs-2615	339	20	proper	proper	ADJ
iajs-2615	339	21	submodule	submodule	NOUN
iajs-2615	339	22	of	of	ADP
iajs-2615	339	23	e	e	PROPN
iajs-2615	339	24	,	,	PUNCT
iajs-2615	339	25	implies	imply	VERB
iajs-2615	339	26	that	that	SCONJ
iajs-2615	339	27	a	a	DET
iajs-2615	339	28	∩	∩	ADJ
iajs-2615	339	29	b	b	NOUN
iajs-2615	339	30	is	be	AUX
iajs-2615	339	31	a	a	DET
iajs-2615	339	32	proper	proper	ADJ
iajs-2615	339	33	submodule	submodule	NOUN
iajs-2615	339	34	of	of	ADP
iajs-2615	339	35	e.	e.	PROPN
iajs-2615	339	36	let	let	VERB
iajs-2615	339	37	(	(	PUNCT
iajs-2615	339	38	0	0	NUM
iajs-2615	339	39	)	)	PUNCT
iajs-2615	339	40	≠	≠	PROPN
iajs-2615	339	41	rsl	rsl	NOUN
iajs-2615	339	42			VERB
iajs-2615	339	43	a	a	DET
iajs-2615	339	44	∩	∩	ADJ
iajs-2615	339	45	b	b	NOUN
iajs-2615	339	46	for	for	ADP
iajs-2615	339	47	r	r	NOUN
iajs-2615	339	48	,	,	PUNCT
iajs-2615	339	49	s	s	PART
iajs-2615	339	50			PROPN
iajs-2615	339	51	r	r	NOUN
iajs-2615	339	52	,	,	PUNCT
iajs-2615	339	53	l	l	NOUN
iajs-2615	339	54	is	be	AUX
iajs-2615	339	55	a	a	DET
iajs-2615	339	56	submodule	submodule	NOUN
iajs-2615	339	57	of	of	ADP
iajs-2615	339	58	e	e	PROPN
iajs-2615	339	59	,	,	PUNCT
iajs-2615	339	60	it	it	PRON
iajs-2615	339	61	follows	follow	VERB
iajs-2615	339	62	that	that	SCONJ
iajs-2615	339	63	(	(	PUNCT
iajs-2615	339	64	0	0	X
iajs-2615	339	65	)	)	PUNCT
iajs-2615	339	66	≠	≠	PROPN
iajs-2615	339	67	rsl	rsl	NOUN
iajs-2615	339	68			VERB
iajs-2615	339	69	a	a	PROPN
iajs-2615	339	70	and	and	CCONJ
iajs-2615	339	71	(	(	PUNCT
iajs-2615	339	72	0	0	NUM
iajs-2615	339	73	)	)	PUNCT
iajs-2615	339	74	≠	≠	PROPN
iajs-2615	339	75	rsl	rsl	NOUN
iajs-2615	339	76			PROPN
iajs-2615	339	77	b	b	PROPN
iajs-2615	339	78	.	.	PUNCT
iajs-2615	340	1	but	but	CCONJ
iajs-2615	340	2	a	a	DET
iajs-2615	340	3	,	,	PUNCT
iajs-2615	340	4	b	b	PROPN
iajs-2615	340	5	are	be	AUX
iajs-2615	340	6	wp	wp	PROPN
iajs-2615	340	7	–	–	PUNCT
iajs-2615	340	8	2	2	NUM
iajs-2615	340	9	–	–	PUNCT
iajs-2615	340	10	absorbing	absorb	VERB
iajs-2615	340	11	submodule	submodule	NOUN
iajs-2615	340	12	of	of	ADP
iajs-2615	340	13	e	e	PROPN
iajs-2615	340	14	,	,	PUNCT
iajs-2615	340	15	then	then	ADV
iajs-2615	340	16	either	either	CCONJ
iajs-2615	340	17	rl	rl	PROPN
iajs-2615	340	18			PROPN
iajs-2615	340	19	a	a	DET
iajs-2615	340	20	+	+	X
iajs-2615	340	21	soc	soc	NOUN
iajs-2615	340	22	(	(	PUNCT
iajs-2615	340	23	e	e	NOUN
iajs-2615	340	24	)	)	PUNCT
iajs-2615	340	25	or	or	CCONJ
iajs-2615	340	26	sl	sl	INTJ
iajs-2615	340	27			PROPN
iajs-2615	340	28	a	a	DET
iajs-2615	340	29	+	+	X
iajs-2615	340	30	soc	soc	NOUN
iajs-2615	340	31	(	(	PUNCT
iajs-2615	340	32	e	e	NOUN
iajs-2615	340	33	)	)	PUNCT
iajs-2615	340	34	or	or	CCONJ
iajs-2615	340	35	rse	rse	ADJ
iajs-2615	340	36			PROPN
iajs-2615	340	37	a	a	DET
iajs-2615	340	38	+	+	X
iajs-2615	340	39	soc	soc	NOUN
iajs-2615	340	40	(	(	PUNCT
iajs-2615	340	41	e	e	NOUN
iajs-2615	340	42	)	)	PUNCT
iajs-2615	340	43	and	and	CCONJ
iajs-2615	340	44	rl	rl	PROPN
iajs-2615	340	45			PROPN
iajs-2615	340	46	b+	b+	VERB
iajs-2615	340	47	soc	soc	NOUN
iajs-2615	340	48	(	(	PUNCT
iajs-2615	340	49	e	e	NOUN
iajs-2615	340	50	)	)	PUNCT
iajs-2615	340	51	or	or	CCONJ
iajs-2615	340	52	sl	sl	INTJ
iajs-2615	340	53			PROPN
iajs-2615	340	54	b+	b+	VERB
iajs-2615	340	55	soc	soc	NOUN
iajs-2615	340	56	(	(	PUNCT
iajs-2615	340	57	e	e	NOUN
iajs-2615	340	58	)	)	PUNCT
iajs-2615	340	59	or	or	CCONJ
iajs-2615	340	60	rse	rse	ADJ
iajs-2615	340	61			PROPN
iajs-2615	340	62	b+	b+	VERB
iajs-2615	340	63	soc	soc	NOUN
iajs-2615	340	64	(	(	PUNCT
iajs-2615	340	65	e	e	NOUN
iajs-2615	340	66	)	)	PUNCT
iajs-2615	340	67	.	.	PUNCT
iajs-2615	341	1	thus	thus	ADV
iajs-2615	341	2	,	,	PUNCT
iajs-2615	341	3	either	either	CCONJ
iajs-2615	341	4	rl	rl	PROPN
iajs-2615	341	5			PROPN
iajs-2615	341	6	(	(	PUNCT
iajs-2615	341	7	a	a	DET
iajs-2615	341	8	+	+	X
iajs-2615	341	9	soc	soc	NOUN
iajs-2615	341	10	(	(	PUNCT
iajs-2615	341	11	e	e	NOUN
iajs-2615	341	12	)	)	PUNCT
iajs-2615	341	13	)	)	PUNCT
iajs-2615	341	14	∩	∩	NOUN
iajs-2615	341	15	(	(	PUNCT
iajs-2615	341	16	b+	b+	NUM
iajs-2615	341	17	soc	soc	NOUN
iajs-2615	341	18	(	(	PUNCT
iajs-2615	341	19	e	e	NOUN
iajs-2615	341	20	)	)	PUNCT
iajs-2615	341	21	)	)	PUNCT
iajs-2615	341	22	or	or	CCONJ
iajs-2615	341	23	sl	sl	INTJ
iajs-2615	341	24			PROPN
iajs-2615	341	25	(	(	PUNCT
iajs-2615	341	26	a	a	DET
iajs-2615	341	27	+	+	X
iajs-2615	341	28	soc	soc	NOUN
iajs-2615	341	29	(	(	PUNCT
iajs-2615	341	30	e	e	NOUN
iajs-2615	341	31	)	)	PUNCT
iajs-2615	341	32	)	)	PUNCT
iajs-2615	341	33	∩	∩	NOUN
iajs-2615	341	34	(	(	PUNCT
iajs-2615	341	35	b+	b+	NUM
iajs-2615	341	36	soc	soc	NOUN
iajs-2615	341	37	(	(	PUNCT
iajs-2615	341	38	e	e	NOUN
iajs-2615	341	39	)	)	PUNCT
iajs-2615	341	40	)	)	PUNCT
iajs-2615	341	41	or	or	CCONJ
iajs-2615	341	42	rse	rse	ADJ
iajs-2615	341	43			PROPN
iajs-2615	341	44	(	(	PUNCT
iajs-2615	341	45	a	a	DET
iajs-2615	341	46	+	+	X
iajs-2615	341	47	soc	soc	NOUN
iajs-2615	341	48	(	(	PUNCT
iajs-2615	341	49	e	e	NOUN
iajs-2615	341	50	)	)	PUNCT
iajs-2615	341	51	)	)	PUNCT
iajs-2615	341	52	∩	∩	NOUN
iajs-2615	341	53	(	(	PUNCT
iajs-2615	341	54	b+	b+	NUM
iajs-2615	341	55	soc	soc	NOUN
iajs-2615	341	56	(	(	PUNCT
iajs-2615	341	57	e	e	NOUN
iajs-2615	341	58	)	)	PUNCT
iajs-2615	341	59	)	)	PUNCT
iajs-2615	341	60	.	.	PUNCT
iajs-2615	342	1	if	if	SCONJ
iajs-2615	342	2	soc	soc	PROPN
iajs-2615	342	3	(	(	PUNCT
iajs-2615	342	4	e	e	PROPN
iajs-2615	342	5	)	)	PUNCT
iajs-2615	342	6			PROPN
iajs-2615	342	7	b	b	PROPN
iajs-2615	342	8	then	then	ADV
iajs-2615	342	9	b	b	PROPN
iajs-2615	342	10	+	+	CCONJ
iajs-2615	342	11	soc	soc	NOUN
iajs-2615	342	12	(	(	PUNCT
iajs-2615	342	13	e	e	NOUN
iajs-2615	342	14	)	)	PUNCT
iajs-2615	342	15	=	=	SYM
iajs-2615	342	16	b	b	X
iajs-2615	342	17	,	,	PUNCT
iajs-2615	342	18	it	it	PRON
iajs-2615	342	19	follows	follow	VERB
iajs-2615	342	20	that	that	SCONJ
iajs-2615	342	21	either	either	CCONJ
iajs-2615	342	22	rl	rl	PROPN
iajs-2615	342	23			PROPN
iajs-2615	342	24	(	(	PUNCT
iajs-2615	342	25	a	a	DET
iajs-2615	342	26	+	+	X
iajs-2615	342	27	soc	soc	NOUN
iajs-2615	342	28	(	(	PUNCT
iajs-2615	342	29	e	e	NOUN
iajs-2615	342	30	)	)	PUNCT
iajs-2615	342	31	)	)	PUNCT
iajs-2615	342	32	∩	∩	PROPN
iajs-2615	342	33	b	b	NOUN
iajs-2615	342	34	or	or	CCONJ
iajs-2615	342	35	sl	sl	INTJ
iajs-2615	342	36			PROPN
iajs-2615	342	37	(	(	PUNCT
iajs-2615	342	38	a	a	DET
iajs-2615	342	39	+	+	X
iajs-2615	342	40	soc	soc	NOUN
iajs-2615	342	41	(	(	PUNCT
iajs-2615	342	42	e	e	NOUN
iajs-2615	342	43	)	)	PUNCT
iajs-2615	342	44	)	)	PUNCT
iajs-2615	342	45	∩	∩	PROPN
iajs-2615	342	46	b	b	NOUN
iajs-2615	342	47	or	or	CCONJ
iajs-2615	342	48	rse	rse	ADJ
iajs-2615	342	49			PROPN
iajs-2615	342	50	(	(	PUNCT
iajs-2615	342	51	a	a	DET
iajs-2615	342	52	+	+	X
iajs-2615	342	53	soc	soc	NOUN
iajs-2615	342	54	(	(	PUNCT
iajs-2615	342	55	e	e	NOUN
iajs-2615	342	56	)	)	PUNCT
iajs-2615	342	57	)	)	PUNCT
iajs-2615	342	58	∩	∩	PROPN
iajs-2615	342	59	b.	b.	PROPN
iajs-2615	342	60	again	again	ADV
iajs-2615	342	61	since	since	SCONJ
iajs-2615	342	62	soc	soc	NOUN
iajs-2615	342	63	(	(	PUNCT
iajs-2615	342	64	e	e	PROPN
iajs-2615	342	65	)	)	PUNCT
iajs-2615	342	66			PROPN
iajs-2615	342	67	b	b	PROPN
iajs-2615	342	68	,	,	PUNCT
iajs-2615	342	69	then	then	ADV
iajs-2615	342	70	by	by	ADP
iajs-2615	342	71	modular	modular	ADJ
iajs-2615	342	72	law	law	NOUN
iajs-2615	342	73	(	(	PUNCT
iajs-2615	342	74	a	a	DET
iajs-2615	342	75	+	+	X
iajs-2615	342	76	soc	soc	NOUN
iajs-2615	342	77	(	(	PUNCT
iajs-2615	342	78	e	e	NOUN
iajs-2615	342	79	)	)	PUNCT
iajs-2615	342	80	)	)	PUNCT
iajs-2615	342	81	∩	∩	PROPN
iajs-2615	342	82	b	b	X
iajs-2615	342	83	=	=	SYM
iajs-2615	342	84	(	(	PUNCT
iajs-2615	342	85	a	a	DET
iajs-2615	342	86	∩	∩	ADJ
iajs-2615	342	87	b	b	X
iajs-2615	342	88	)	)	PUNCT
iajs-2615	342	89	+	+	CCONJ
iajs-2615	342	90	soc	soc	NOUN
iajs-2615	342	91	(	(	PUNCT
iajs-2615	342	92	e	e	NOUN
iajs-2615	342	93	)	)	PUNCT
iajs-2615	342	94	.	.	PUNCT
iajs-2615	343	1	thus	thus	ADV
iajs-2615	343	2	either	either	CCONJ
iajs-2615	343	3	rl	rl	PROPN
iajs-2615	343	4			PROPN
iajs-2615	343	5	(	(	PUNCT
iajs-2615	343	6	a	a	DET
iajs-2615	343	7	∩	∩	ADJ
iajs-2615	343	8	b	b	X
iajs-2615	343	9	)	)	PUNCT
iajs-2615	343	10	+	+	CCONJ
iajs-2615	343	11	soc	soc	NOUN
iajs-2615	343	12	(	(	PUNCT
iajs-2615	343	13	e	e	NOUN
iajs-2615	343	14	)	)	PUNCT
iajs-2615	343	15	or	or	CCONJ
iajs-2615	343	16	sl	sl	INTJ
iajs-2615	343	17			PROPN
iajs-2615	343	18	(	(	PUNCT
iajs-2615	343	19	a	a	DET
iajs-2615	343	20	∩	∩	ADJ
iajs-2615	343	21	b	b	X
iajs-2615	343	22	)	)	PUNCT
iajs-2615	343	23	+	+	CCONJ
iajs-2615	343	24	soc	soc	NOUN
iajs-2615	343	25	(	(	PUNCT
iajs-2615	343	26	e	e	NOUN
iajs-2615	343	27	)	)	PUNCT
iajs-2615	343	28	or	or	CCONJ
iajs-2615	343	29	rse	rse	ADJ
iajs-2615	343	30			PROPN
iajs-2615	343	31	(	(	PUNCT
iajs-2615	343	32	a	a	DET
iajs-2615	343	33	∩	∩	ADJ
iajs-2615	343	34	b	b	X
iajs-2615	343	35	)	)	PUNCT
iajs-2615	343	36	+	+	CCONJ
iajs-2615	343	37	soc	soc	NOUN
iajs-2615	343	38	(	(	PUNCT
iajs-2615	343	39	e	e	NOUN
iajs-2615	343	40	)	)	PUNCT
iajs-2615	343	41	.	.	PUNCT
iajs-2615	344	1	thus	thus	ADV
iajs-2615	344	2	a	a	DET
iajs-2615	344	3	∩	∩	ADJ
iajs-2615	344	4	b	b	NOUN
iajs-2615	344	5	is	be	AUX
iajs-2615	344	6	a	a	DET
iajs-2615	344	7	wp	wp	NOUN
iajs-2615	344	8	–	–	PUNCT
iajs-2615	344	9	2	2	NUM
iajs-2615	344	10	–	–	PUNCT
iajs-2615	344	11	absorbing	absorb	VERB
iajs-2615	344	12	submodule	submodule	NOUN
iajs-2615	344	13	of	of	ADP
iajs-2615	344	14	e	e	PROPN
iajs-2615	344	15	.	.	PUNCT
iajs-2615	345	1	recall	recall	VERB
iajs-2615	345	2	that	that	PRON
iajs-2615	345	3	for	for	ADP
iajs-2615	345	4	any	any	DET
iajs-2615	345	5	submodules	submodule	NOUN
iajs-2615	345	6	a	a	DET
iajs-2615	345	7	,	,	PUNCT
iajs-2615	345	8	k	k	X
iajs-2615	345	9	a	a	DET
iajs-2615	345	10	multiplication	multiplication	NOUN
iajs-2615	345	11	r	r	NOUN
iajs-2615	345	12	–	–	PUNCT
iajs-2615	345	13	module	module	NOUN
iajs-2615	345	14	e	e	NOUN
iajs-2615	345	15	with	with	ADP
iajs-2615	345	16	a	a	DET
iajs-2615	345	17	=	=	X
iajs-2615	345	18	ie	ie	X
iajs-2615	345	19	,	,	PUNCT
iajs-2615	345	20	b	b	X
iajs-2615	345	21	=	=	SYM
iajs-2615	345	22	je	je	PROPN
iajs-2615	345	23	,	,	PUNCT
iajs-2615	345	24	for	for	ADP
iajs-2615	345	25	some	some	DET
iajs-2615	345	26	ideals	ideal	NOUN
iajs-2615	345	27	i	i	PRON
iajs-2615	345	28	,	,	PUNCT
iajs-2615	345	29	j	j	PROPN
iajs-2615	345	30	of	of	ADP
iajs-2615	345	31	r	r	PROPN
iajs-2615	345	32	,	,	PUNCT
iajs-2615	345	33	the	the	DET
iajs-2615	345	34	product	product	NOUN
iajs-2615	345	35	ab	ab	NOUN
iajs-2615	345	36	=	=	PROPN
iajs-2615	345	37	ije	ije	PROPN
iajs-2615	345	38	=	=	SYM
iajs-2615	345	39	ib	ib	NOUN
iajs-2615	345	40	.	.	PUNCT
iajs-2615	346	1	in	in	ADP
iajs-2615	346	2	particular	particular	ADJ
iajs-2615	346	3	ae	ae	PROPN
iajs-2615	346	4	=	=	PROPN
iajs-2615	346	5	iee	iee	PROPN
iajs-2615	346	6	=	=	PUNCT
iajs-2615	346	7	ie	ie	X
iajs-2615	346	8	=	=	PROPN
iajs-2615	346	9	a	a	NOUN
iajs-2615	346	10	,	,	PUNCT
iajs-2615	346	11	and	and	CCONJ
iajs-2615	346	12	for	for	ADP
iajs-2615	346	13	any	any	DET
iajs-2615	346	14	x	x	ADJ
iajs-2615	346	15			PROPN
iajs-2615	346	16	e	e	NOUN
iajs-2615	346	17	,	,	PUNCT
iajs-2615	346	18	a	a	DET
iajs-2615	346	19	=	=	X
iajs-2615	346	20	ix	ix	PROPN
iajs-2615	346	21	[	[	X
iajs-2615	346	22	2	2	NUM
iajs-2615	346	23	]	]	PUNCT
iajs-2615	346	24	.	.	PUNCT
iajs-2615	347	1	the	the	DET
iajs-2615	347	2	following	follow	VERB
iajs-2615	347	3	propositions	proposition	NOUN
iajs-2615	347	4	are	be	AUX
iajs-2615	347	5	characterizations	characterization	NOUN
iajs-2615	347	6	of	of	ADP
iajs-2615	347	7	wp	wp	PROPN
iajs-2615	347	8	–	–	PUNCT
iajs-2615	347	9	2	2	NUM
iajs-2615	347	10	–	–	PUNCT
iajs-2615	347	11	absorbing	absorb	VERB
iajs-2615	347	12	submodules	submodule	NOUN
iajs-2615	347	13	is	be	AUX
iajs-2615	347	14	class	class	NOUN
iajs-2615	347	15	of	of	ADP
iajs-2615	347	16	multiplication	multiplication	NOUN
iajs-2615	347	17	modules	module	NOUN
iajs-2615	347	18	.	.	PUNCT
iajs-2615	348	1	proposition	proposition	NOUN
iajs-2615	348	2	23	23	NUM
iajs-2615	348	3	.	.	PUNCT
iajs-2615	349	1	let	let	VERB
iajs-2615	349	2	e	e	PRON
iajs-2615	349	3	be	be	AUX
iajs-2615	349	4	a	a	DET
iajs-2615	349	5	multiplication	multiplication	NOUN
iajs-2615	349	6	r	r	NOUN
iajs-2615	349	7	–	–	PUNCT
iajs-2615	349	8	module	module	NOUN
iajs-2615	349	9	,	,	PUNCT
iajs-2615	349	10	and	and	CCONJ
iajs-2615	349	11	a	a	PRON
iajs-2615	349	12	be	be	AUX
iajs-2615	349	13	a	a	DET
iajs-2615	349	14	proper	proper	ADJ
iajs-2615	349	15	submodule	submodule	NOUN
iajs-2615	349	16	of	of	ADP
iajs-2615	349	17	e.	e.	PROPN
iajs-2615	349	18	then	then	ADV
iajs-2615	349	19	a	a	PRON
iajs-2615	349	20	is	be	AUX
iajs-2615	349	21	a	a	DET
iajs-2615	349	22	wp	wp	NOUN
iajs-2615	349	23	–	–	PUNCT
iajs-2615	349	24	2	2	NUM
iajs-2615	349	25	–	–	PUNCT
iajs-2615	349	26	absorbing	absorb	VERB
iajs-2615	349	27	submodule	submodule	NOUN
iajs-2615	349	28	of	of	ADP
iajs-2615	349	29	e	e	PROPN
iajs-2615	349	30	if	if	SCONJ
iajs-2615	350	1	and	and	CCONJ
iajs-2615	350	2	only	only	ADV
iajs-2615	350	3	if	if	SCONJ
iajs-2615	350	4	(	(	PUNCT
iajs-2615	350	5	0	0	X
iajs-2615	350	6	)	)	PUNCT
iajs-2615	350	7	≠	≠	PROPN
iajs-2615	350	8	l1l2l3	l1l2l3	NOUN
iajs-2615	350	9			NOUN
iajs-2615	350	10	a	a	PRON
iajs-2615	350	11	for	for	ADP
iajs-2615	350	12	some	some	DET
iajs-2615	350	13	submodules	submodule	NOUN
iajs-2615	350	14	l1	l1	PROPN
iajs-2615	350	15	,	,	PUNCT
iajs-2615	350	16	l2	l2	NOUN
iajs-2615	350	17	,	,	PUNCT
iajs-2615	350	18	l3	l3	PROPN
iajs-2615	350	19	of	of	ADP
iajs-2615	350	20	e	e	PROPN
iajs-2615	350	21	implies	imply	VERB
iajs-2615	350	22	that	that	SCONJ
iajs-2615	350	23	either	either	CCONJ
iajs-2615	350	24	l1l3	l1l3	ADP
iajs-2615	350	25			PROPN
iajs-2615	350	26	a	a	DET
iajs-2615	350	27	+	+	X
iajs-2615	350	28	soc	soc	NOUN
iajs-2615	350	29	(	(	PUNCT
iajs-2615	350	30	e	e	NOUN
iajs-2615	350	31	)	)	PUNCT
iajs-2615	350	32	or	or	CCONJ
iajs-2615	350	33	l2l3	l2l3	X
iajs-2615	350	34			PROPN
iajs-2615	350	35	a	a	DET
iajs-2615	350	36	+	+	X
iajs-2615	350	37	soc	soc	NOUN
iajs-2615	350	38	(	(	PUNCT
iajs-2615	350	39	e	e	NOUN
iajs-2615	350	40	)	)	PUNCT
iajs-2615	350	41	or	or	CCONJ
iajs-2615	350	42	l1	l1	PROPN
iajs-2615	350	43	l2	l2	PROPN
iajs-2615	350	44			VERB
iajs-2615	350	45	a	a	DET
iajs-2615	350	46	+	+	X
iajs-2615	350	47	soc	soc	NOUN
iajs-2615	350	48	(	(	PUNCT
iajs-2615	350	49	e	e	NOUN
iajs-2615	350	50	)	)	PUNCT
iajs-2615	350	51	.	.	PUNCT
iajs-2615	351	1	proof	proof	NOUN
iajs-2615	351	2	:	:	PUNCT
iajs-2615	351	3	(	(	PUNCT
iajs-2615	351	4			NOUN
iajs-2615	351	5	)	)	PUNCT
iajs-2615	351	6	let	let	VERB
iajs-2615	351	7	(	(	PUNCT
iajs-2615	351	8	0	0	NUM
iajs-2615	351	9	)	)	PUNCT
iajs-2615	351	10	≠	≠	PROPN
iajs-2615	351	11	l1l2l3	l1l2l3	NOUN
iajs-2615	351	12			NOUN
iajs-2615	351	13	a	a	PRON
iajs-2615	351	14	for	for	ADP
iajs-2615	351	15	some	some	DET
iajs-2615	351	16	submodules	submodule	NOUN
iajs-2615	351	17	l1	l1	PROPN
iajs-2615	351	18	,	,	PUNCT
iajs-2615	351	19	l2	l2	NOUN
iajs-2615	351	20	,	,	PUNCT
iajs-2615	351	21	l3	l3	NOUN
iajs-2615	351	22	of	of	ADP
iajs-2615	351	23	e	e	PROPN
iajs-2615	351	24	.	.	PUNCT
iajs-2615	352	1	but	but	CCONJ
iajs-2615	352	2	e	e	NOUN
iajs-2615	352	3	is	be	AUX
iajs-2615	352	4	a	a	DET
iajs-2615	352	5	multiplication	multiplication	NOUN
iajs-2615	352	6	,	,	PUNCT
iajs-2615	352	7	then	then	ADV
iajs-2615	352	8	l1	l1	PROPN
iajs-2615	352	9	=	=	SYM
iajs-2615	352	10	i1e	i1e	PROPN
iajs-2615	352	11	,	,	PUNCT
iajs-2615	352	12	l2	l2	NOUN
iajs-2615	352	13	=	=	SYM
iajs-2615	352	14	i2e	i2e	VERB
iajs-2615	352	15	,	,	PUNCT
iajs-2615	352	16	l3	l3	X
iajs-2615	352	17	=	=	SYM
iajs-2615	352	18	i3e	i3e	NOUN
iajs-2615	352	19	for	for	ADP
iajs-2615	352	20	some	some	DET
iajs-2615	352	21	ideals	ideal	NOUN
iajs-2615	352	22	i1	i1	PROPN
iajs-2615	352	23	,	,	PUNCT
iajs-2615	352	24	i2	i2	PROPN
iajs-2615	352	25	,	,	PUNCT
iajs-2615	352	26	i3	i3	NOUN
iajs-2615	352	27	of	of	ADP
iajs-2615	352	28	r	r	NOUN
iajs-2615	352	29	.	.	PUNCT
iajs-2615	353	1	that	that	ADV
iajs-2615	353	2	is	is	ADV
iajs-2615	353	3	(	(	PUNCT
iajs-2615	353	4	0	0	NUM
iajs-2615	353	5	)	)	PUNCT
iajs-2615	353	6	≠	≠	PROPN
iajs-2615	353	7	l1l2l3	l1l2l3	NOUN
iajs-2615	353	8	=	=	SYM
iajs-2615	353	9	i1	i1	PROPN
iajs-2615	353	10	i2	i2	PROPN
iajs-2615	353	11	i3	i3	PROPN
iajs-2615	353	12	e	e	PROPN
iajs-2615	353	13			PROPN
iajs-2615	353	14	a.	a.	NOUN
iajs-2615	353	15	but	but	CCONJ
iajs-2615	353	16	a	a	PRON
iajs-2615	353	17	is	be	AUX
iajs-2615	353	18	a	a	DET
iajs-2615	353	19	wp	wp	NOUN
iajs-2615	353	20	–	–	PUNCT
iajs-2615	353	21	2	2	NUM
iajs-2615	353	22	–	–	PUNCT
iajs-2615	353	23	absorbing	absorb	VERB
iajs-2615	353	24	submodule	submodule	NOUN
iajs-2615	353	25	of	of	ADP
iajs-2615	353	26	e	e	PROPN
iajs-2615	353	27	,	,	PUNCT
iajs-2615	353	28	then	then	ADV
iajs-2615	353	29	by	by	ADP
iajs-2615	353	30	proposition	proposition	NOUN
iajs-2615	353	31	(	(	PUNCT
iajs-2615	353	32	6	6	NUM
iajs-2615	353	33	)	)	PUNCT
iajs-2615	353	34	either	either	CCONJ
iajs-2615	353	35	i1	i1	PROPN
iajs-2615	353	36	i3e	i3e	NOUN
iajs-2615	353	37			VERB
iajs-2615	353	38	a	a	DET
iajs-2615	353	39	+	+	X
iajs-2615	353	40	soc	soc	NOUN
iajs-2615	353	41	(	(	PUNCT
iajs-2615	353	42	e	e	NOUN
iajs-2615	353	43	)	)	PUNCT
iajs-2615	353	44	or	or	CCONJ
iajs-2615	353	45	i2	i2	PROPN
iajs-2615	353	46	i3e	i3e	NOUN
iajs-2615	353	47			VERB
iajs-2615	353	48	a	a	DET
iajs-2615	353	49	+	+	X
iajs-2615	353	50	soc	soc	NOUN
iajs-2615	353	51	(	(	PUNCT
iajs-2615	353	52	e	e	NOUN
iajs-2615	353	53	)	)	PUNCT
iajs-2615	353	54	or	or	CCONJ
iajs-2615	353	55	i1i2	i1i2	ADJ
iajs-2615	353	56			PROPN
iajs-2615	354	1	[	[	X
iajs-2615	354	2	a	a	DET
iajs-2615	354	3	+	+	X
iajs-2615	354	4	soc	soc	NOUN
iajs-2615	354	5	(	(	PUNCT
iajs-2615	354	6	e	e	NOUN
iajs-2615	354	7	)	)	PUNCT
iajs-2615	354	8	:	:	PUNCT
iajs-2615	354	9	r	r	NOUN
iajs-2615	354	10	e	e	X
iajs-2615	354	11	]	]	X
iajs-2615	354	12	(	(	PUNCT
iajs-2615	354	13	ie	ie	X
iajs-2615	354	14	i1	i1	PROPN
iajs-2615	354	15	i2e	i2e	VERB
iajs-2615	354	16			PROPN
iajs-2615	354	17	a	a	DET
iajs-2615	354	18	+	+	X
iajs-2615	354	19	soc	soc	NOUN
iajs-2615	354	20	(	(	PUNCT
iajs-2615	354	21	e	e	NOUN
iajs-2615	354	22	)	)	PUNCT
iajs-2615	354	23	)	)	PUNCT
iajs-2615	354	24	.	.	PUNCT
iajs-2615	355	1	it	it	PRON
iajs-2615	355	2	follows	follow	VERB
iajs-2615	355	3	that	that	SCONJ
iajs-2615	355	4	either	either	CCONJ
iajs-2615	355	5	l1l3	l1l3	ADP
iajs-2615	355	6			PROPN
iajs-2615	355	7	a	a	DET
iajs-2615	355	8	+	+	X
iajs-2615	355	9	soc	soc	NOUN
iajs-2615	355	10	(	(	PUNCT
iajs-2615	355	11	e	e	NOUN
iajs-2615	355	12	)	)	PUNCT
iajs-2615	355	13	or	or	CCONJ
iajs-2615	355	14	l2l3	l2l3	X
iajs-2615	355	15			PROPN
iajs-2615	355	16	a	a	DET
iajs-2615	355	17	+	+	X
iajs-2615	355	18	soc	soc	NOUN
iajs-2615	355	19	(	(	PUNCT
iajs-2615	355	20	e	e	NOUN
iajs-2615	355	21	)	)	PUNCT
iajs-2615	355	22	or	or	CCONJ
iajs-2615	355	23	l1	l1	PROPN
iajs-2615	355	24	l2	l2	PROPN
iajs-2615	355	25			VERB
iajs-2615	355	26	a	a	DET
iajs-2615	355	27	+	+	X
iajs-2615	355	28	soc	soc	NOUN
iajs-2615	355	29	(	(	PUNCT
iajs-2615	355	30	e	e	NOUN
iajs-2615	355	31	)	)	PUNCT
iajs-2615	355	32	.	.	PUNCT
iajs-2615	356	1	(	(	PUNCT
iajs-2615	356	2			PROPN
iajs-2615	356	3	)	)	PUNCT
iajs-2615	356	4	let	let	VERB
iajs-2615	356	5	(	(	PUNCT
iajs-2615	356	6	0	0	NUM
iajs-2615	356	7	)	)	PUNCT
iajs-2615	356	8	≠	≠	PROPN
iajs-2615	356	9	i1	i1	PROPN
iajs-2615	356	10	i2l	i2l	PROPN
iajs-2615	356	11			VERB
iajs-2615	356	12	a	a	PRON
iajs-2615	356	13	for	for	ADP
iajs-2615	356	14	i1	i1	PROPN
iajs-2615	356	15	,	,	PUNCT
iajs-2615	356	16	i2	i2	PROPN
iajs-2615	356	17	are	be	AUX
iajs-2615	356	18	ideals	ideal	NOUN
iajs-2615	356	19	of	of	ADP
iajs-2615	356	20	r	r	NOUN
iajs-2615	356	21	,	,	PUNCT
iajs-2615	356	22	l	l	NOUN
iajs-2615	356	23	is	be	AUX
iajs-2615	356	24	submodule	submodule	NOUN
iajs-2615	356	25	of	of	ADP
iajs-2615	356	26	e.	e.	PROPN
iajs-2615	356	27	since	since	SCONJ
iajs-2615	356	28	e	e	PROPN
iajs-2615	356	29	is	be	AUX
iajs-2615	356	30	a	a	DET
iajs-2615	356	31	multiplication	multiplication	NOUN
iajs-2615	356	32	,	,	PUNCT
iajs-2615	356	33	then	then	ADV
iajs-2615	356	34	l	l	NOUN
iajs-2615	356	35	=	=	PUNCT
iajs-2615	356	36	i3e	i3e	NOUN
iajs-2615	356	37	for	for	ADP
iajs-2615	356	38	some	some	DET
iajs-2615	356	39	ideal	ideal	ADJ
iajs-2615	356	40	i3	i3	NOUN
iajs-2615	356	41	of	of	ADP
iajs-2615	356	42	r.	r.	PROPN
iajs-2615	356	43	that	that	PRON
iajs-2615	356	44	is	be	AUX
iajs-2615	356	45	(	(	PUNCT
iajs-2615	356	46	0	0	NUM
iajs-2615	356	47	)	)	PUNCT
iajs-2615	357	1	≠	≠	PROPN
iajs-2615	357	2	i1	i1	PROPN
iajs-2615	357	3	i2	i2	PROPN
iajs-2615	357	4	i3	i3	PROPN
iajs-2615	357	5	e	e	PROPN
iajs-2615	357	6			PROPN
iajs-2615	357	7	a.	a.	PROPN
iajs-2615	357	8	put	put	VERB
iajs-2615	357	9	l1	l1	PROPN
iajs-2615	357	10	=	=	SYM
iajs-2615	357	11	i1e	i1e	PROPN
iajs-2615	357	12	and	and	CCONJ
iajs-2615	357	13	l2	l2	NOUN
iajs-2615	357	14	=	=	SYM
iajs-2615	357	15	i2e	i2e	PROPN
iajs-2615	357	16	,	,	PUNCT
iajs-2615	357	17	then	then	ADV
iajs-2615	357	18	(	(	PUNCT
iajs-2615	357	19	0	0	X
iajs-2615	357	20	)	)	PUNCT
iajs-2615	357	21	≠	≠	NOUN
iajs-2615	357	22	l1l2l	l1l2l	PUNCT
iajs-2615	357	23			PROPN
iajs-2615	357	24	a	a	X
iajs-2615	357	25	,	,	PUNCT
iajs-2615	357	26	it	it	PRON
iajs-2615	357	27	follows	follow	VERB
iajs-2615	357	28	by	by	ADP
iajs-2615	357	29	hypothesis	hypothesis	NOUN
iajs-2615	357	30	that	that	SCONJ
iajs-2615	357	31	either	either	CCONJ
iajs-2615	357	32	l1l	l1l	ADP
iajs-2615	357	33			PROPN
iajs-2615	357	34	a	a	DET
iajs-2615	357	35	+	+	X
iajs-2615	357	36	soc	soc	NOUN
iajs-2615	357	37	(	(	PUNCT
iajs-2615	357	38	e	e	NOUN
iajs-2615	357	39	)	)	PUNCT
iajs-2615	357	40	or	or	CCONJ
iajs-2615	357	41	l2l	l2l	PROPN
iajs-2615	357	42			PROPN
iajs-2615	357	43	a	a	DET
iajs-2615	357	44	+	+	X
iajs-2615	357	45	soc	soc	NOUN
iajs-2615	357	46	(	(	PUNCT
iajs-2615	357	47	e	e	NOUN
iajs-2615	357	48	)	)	PUNCT
iajs-2615	357	49	or	or	CCONJ
iajs-2615	357	50	l1l2	l1l2	ADJ
iajs-2615	357	51			PROPN
iajs-2615	357	52	a	a	DET
iajs-2615	357	53	+	+	X
iajs-2615	357	54	soc	soc	NOUN
iajs-2615	357	55	(	(	PUNCT
iajs-2615	357	56	e	e	NOUN
iajs-2615	357	57	)	)	PUNCT
iajs-2615	357	58	.	.	PUNCT
iajs-2615	358	1	that	that	PRON
iajs-2615	358	2	is	be	AUX
iajs-2615	358	3	either	either	CCONJ
iajs-2615	358	4	i1l	i1l	ADJ
iajs-2615	358	5			PROPN
iajs-2615	358	6	a	a	DET
iajs-2615	358	7	+	+	X
iajs-2615	358	8	soc	soc	NOUN
iajs-2615	358	9	(	(	PUNCT
iajs-2615	358	10	e	e	NOUN
iajs-2615	358	11	)	)	PUNCT
iajs-2615	358	12	or	or	CCONJ
iajs-2615	358	13	i2l	i2l	PROPN
iajs-2615	358	14			VERB
iajs-2615	358	15	a	a	DET
iajs-2615	358	16	+	+	X
iajs-2615	358	17	soc	soc	NOUN
iajs-2615	358	18	(	(	PUNCT
iajs-2615	358	19	e	e	NOUN
iajs-2615	358	20	)	)	PUNCT
iajs-2615	358	21	or	or	CCONJ
iajs-2615	358	22	i1i2e	i1i2e	NUM
iajs-2615	358	23			PROPN
iajs-2615	358	24	a	a	DET
iajs-2615	358	25	+	+	X
iajs-2615	358	26	soc	soc	NOUN
iajs-2615	358	27	(	(	PUNCT
iajs-2615	358	28	e	e	NOUN
iajs-2615	358	29	)	)	PUNCT
iajs-2615	358	30	,	,	PUNCT
iajs-2615	358	31	(	(	PUNCT
iajs-2615	358	32	ie	ie	X
iajs-2615	358	33	i1i2	i1i2	PROPN
iajs-2615	358	34			PROPN
iajs-2615	358	35	[	[	PUNCT
iajs-2615	358	36	a	a	DET
iajs-2615	358	37	+	+	X
iajs-2615	358	38	soc	soc	NOUN
iajs-2615	358	39	(	(	PUNCT
iajs-2615	358	40	e	e	NOUN
iajs-2615	358	41	)	)	PUNCT
iajs-2615	358	42	:	:	PUNCT
iajs-2615	358	43	r	r	NOUN
iajs-2615	358	44	e	e	NOUN
iajs-2615	358	45	]	]	PUNCT
iajs-2615	358	46	.	.	PUNCT
iajs-2615	359	1	thus	thus	ADV
iajs-2615	359	2	,	,	PUNCT
iajs-2615	359	3	by	by	ADP
iajs-2615	359	4	proposition	proposition	NOUN
iajs-2615	359	5	(	(	PUNCT
iajs-2615	359	6	6	6	NUM
iajs-2615	359	7	)	)	PUNCT
iajs-2615	359	8	a	a	PRON
iajs-2615	359	9	is	be	AUX
iajs-2615	359	10	a	a	DET
iajs-2615	359	11	wp	wp	NOUN
iajs-2615	359	12	–	–	PUNCT
iajs-2615	359	13	2	2	NUM
iajs-2615	359	14	–	–	PUNCT
iajs-2615	359	15	absorbing	absorb	VERB
iajs-2615	359	16	submodule	submodule	NOUN
iajs-2615	359	17	of	of	ADP
iajs-2615	359	18	e	e	PROPN
iajs-2615	359	19	.	.	PUNCT
iajs-2615	360	1	97	97	NUM
iajs-2615	360	2	ibn	ibn	PROPN
iajs-2615	360	3	al	al	PROPN
iajs-2615	360	4	-	-	PUNCT
iajs-2615	360	5	haitham	haitham	PROPN
iajs-2615	360	6	jour	jour	X
iajs-2615	360	7	.	.	PROPN
iajs-2615	360	8	for	for	ADP
iajs-2615	360	9	pure	pure	ADJ
iajs-2615	360	10	&	&	CCONJ
iajs-2615	360	11	appl	appl	PROPN
iajs-2615	360	12	.	.	PUNCT
iajs-2615	361	1	sci	sci	PROPN
iajs-2615	361	2	.	.	PROPN
iajs-2615	362	1	34	34	NUM
iajs-2615	362	2	(	(	PUNCT
iajs-2615	362	3	2	2	NUM
iajs-2615	362	4	)	)	PUNCT
iajs-2615	362	5	2021	2021	NUM
iajs-2615	362	6	the	the	DET
iajs-2615	362	7	following	follow	VERB
iajs-2615	362	8	corollary	corollary	NOUN
iajs-2615	362	9	is	be	AUX
iajs-2615	362	10	a	a	DET
iajs-2615	362	11	direct	direct	ADJ
iajs-2615	362	12	consequence	consequence	NOUN
iajs-2615	362	13	of	of	ADP
iajs-2615	362	14	proposition	proposition	NOUN
iajs-2615	362	15	(	(	PUNCT
iajs-2615	362	16	23	23	NUM
iajs-2615	362	17	)	)	PUNCT
iajs-2615	362	18	.	.	PUNCT
iajs-2615	363	1	corollary	corollary	ADJ
iajs-2615	363	2	24	24	NUM
iajs-2615	363	3	.	.	PUNCT
iajs-2615	364	1	let	let	VERB
iajs-2615	364	2	e	e	PRON
iajs-2615	364	3	be	be	AUX
iajs-2615	364	4	a	a	DET
iajs-2615	364	5	multiplication	multiplication	NOUN
iajs-2615	364	6	r	r	NOUN
iajs-2615	364	7	–	–	PUNCT
iajs-2615	364	8	module	module	NOUN
iajs-2615	364	9	and	and	CCONJ
iajs-2615	364	10	a	a	DET
iajs-2615	364	11	be	be	AUX
iajs-2615	364	12	a	a	DET
iajs-2615	364	13	proper	proper	ADJ
iajs-2615	364	14	submodule	submodule	NOUN
iajs-2615	364	15	of	of	ADP
iajs-2615	364	16	e.	e.	PROPN
iajs-2615	364	17	then	then	ADV
iajs-2615	364	18	a	a	PRON
iajs-2615	364	19	is	be	AUX
iajs-2615	364	20	a	a	DET
iajs-2615	364	21	wp	wp	NOUN
iajs-2615	364	22	–	–	PUNCT
iajs-2615	364	23	2	2	NUM
iajs-2615	364	24	–	–	PUNCT
iajs-2615	364	25	absorbing	absorb	VERB
iajs-2615	364	26	submodule	submodule	NOUN
iajs-2615	364	27	of	of	ADP
iajs-2615	364	28	e	e	PROPN
iajs-2615	364	29	if	if	SCONJ
iajs-2615	364	30	and	and	CCONJ
iajs-2615	365	1	only	only	ADV
iajs-2615	365	2	if	if	SCONJ
iajs-2615	365	3	(	(	PUNCT
iajs-2615	365	4	0	0	X
iajs-2615	365	5	)	)	PUNCT
iajs-2615	365	6	≠	≠	PROPN
iajs-2615	365	7	l1l2	l1l2	PROPN
iajs-2615	365	8	e	e	NOUN
iajs-2615	365	9			VERB
iajs-2615	365	10	a	a	PRON
iajs-2615	365	11	for	for	ADP
iajs-2615	365	12	some	some	DET
iajs-2615	365	13	submodules	submodule	NOUN
iajs-2615	365	14	l1	l1	PROPN
iajs-2615	365	15	,	,	PUNCT
iajs-2615	365	16	l2	l2	NOUN
iajs-2615	365	17	of	of	ADP
iajs-2615	365	18	e	e	NOUN
iajs-2615	365	19	and	and	CCONJ
iajs-2615	365	20	e	e	ADP
iajs-2615	365	21			PROPN
iajs-2615	365	22	e	e	NOUN
iajs-2615	365	23	,	,	PUNCT
iajs-2615	365	24	implies	imply	VERB
iajs-2615	365	25	that	that	SCONJ
iajs-2615	365	26	either	either	CCONJ
iajs-2615	365	27	l1e	l1e	PROPN
iajs-2615	365	28			VERB
iajs-2615	365	29	a	a	DET
iajs-2615	365	30	+	+	X
iajs-2615	365	31	soc	soc	NOUN
iajs-2615	365	32	(	(	PUNCT
iajs-2615	365	33	e	e	NOUN
iajs-2615	365	34	)	)	PUNCT
iajs-2615	365	35	or	or	CCONJ
iajs-2615	365	36	l2e	l2e	VERB
iajs-2615	365	37			PROPN
iajs-2615	365	38	a	a	DET
iajs-2615	365	39	+	+	X
iajs-2615	365	40	soc	soc	NOUN
iajs-2615	365	41	(	(	PUNCT
iajs-2615	365	42	e	e	NOUN
iajs-2615	365	43	)	)	PUNCT
iajs-2615	365	44	or	or	CCONJ
iajs-2615	365	45	l1	l1	PROPN
iajs-2615	365	46	l2	l2	PROPN
iajs-2615	365	47			VERB
iajs-2615	365	48	a	a	DET
iajs-2615	365	49	+	+	X
iajs-2615	365	50	soc	soc	NOUN
iajs-2615	365	51	(	(	PUNCT
iajs-2615	365	52	e	e	NOUN
iajs-2615	365	53	)	)	PUNCT
iajs-2615	365	54	.	.	PUNCT
iajs-2615	366	1	it	it	PRON
iajs-2615	366	2	is	be	AUX
iajs-2615	366	3	well	well	ADV
iajs-2615	366	4	known	know	VERB
iajs-2615	366	5	that	that	SCONJ
iajs-2615	366	6	if	if	SCONJ
iajs-2615	366	7	e	e	NOUN
iajs-2615	366	8	is	be	AUX
iajs-2615	366	9	a	a	DET
iajs-2615	366	10	faithful	faithful	ADJ
iajs-2615	366	11	multiplication	multiplication	NOUN
iajs-2615	366	12	r	r	NOUN
iajs-2615	366	13	–	–	PUNCT
iajs-2615	366	14	module	module	NOUN
iajs-2615	366	15	then	then	ADV
iajs-2615	366	16	soc	soc	NOUN
iajs-2615	366	17	(	(	PUNCT
iajs-2615	366	18	e	e	NOUN
iajs-2615	366	19	)	)	PUNCT
iajs-2615	366	20	=	=	SYM
iajs-2615	366	21	soc	soc	NOUN
iajs-2615	366	22	(	(	PUNCT
iajs-2615	366	23	r)e	r)e	X
iajs-2615	366	24	[	[	X
iajs-2615	366	25	11,coro	11,coro	NUM
iajs-2615	366	26	.	.	PUNCT
iajs-2615	367	1	(	(	PUNCT
iajs-2615	367	2	2.14	2.14	NUM
iajs-2615	367	3	)	)	PUNCT
iajs-2615	367	4	(	(	PUNCT
iajs-2615	367	5	i	i	NOUN
iajs-2615	367	6	)	)	PUNCT
iajs-2615	367	7	]	]	PUNCT
iajs-2615	367	8	.	.	PUNCT
iajs-2615	368	1	proposition	proposition	NOUN
iajs-2615	368	2	25	25	NUM
iajs-2615	368	3	.	.	PUNCT
iajs-2615	369	1	let	let	VERB
iajs-2615	369	2	e	e	PRON
iajs-2615	369	3	be	be	AUX
iajs-2615	369	4	a	a	DET
iajs-2615	369	5	faithful	faithful	ADJ
iajs-2615	369	6	multiplication	multiplication	NOUN
iajs-2615	369	7	r	r	NOUN
iajs-2615	369	8	–	–	PUNCT
iajs-2615	369	9	module	module	NOUN
iajs-2615	369	10	and	and	CCONJ
iajs-2615	369	11	a	a	DET
iajs-2615	369	12	be	be	AUX
iajs-2615	369	13	a	a	DET
iajs-2615	369	14	proper	proper	ADJ
iajs-2615	369	15	submodule	submodule	NOUN
iajs-2615	369	16	of	of	ADP
iajs-2615	369	17	e.	e.	PROPN
iajs-2615	369	18	then	then	ADV
iajs-2615	369	19	a	a	PRON
iajs-2615	369	20	is	be	AUX
iajs-2615	369	21	a	a	DET
iajs-2615	369	22	wp	wp	NOUN
iajs-2615	369	23	–	–	PUNCT
iajs-2615	369	24	2	2	NUM
iajs-2615	369	25	–	–	PUNCT
iajs-2615	369	26	absorbing	absorb	VERB
iajs-2615	369	27	submodule	submodule	NOUN
iajs-2615	369	28	of	of	ADP
iajs-2615	369	29	e	e	PROPN
iajs-2615	369	30	if	if	SCONJ
iajs-2615	369	31	and	and	CCONJ
iajs-2615	369	32	only	only	ADV
iajs-2615	369	33	if	if	SCONJ
iajs-2615	369	34	[	[	PUNCT
iajs-2615	369	35	a	a	PRON
iajs-2615	369	36	:	:	PUNCT
iajs-2615	369	37	r	r	NOUN
iajs-2615	369	38	e	e	NOUN
iajs-2615	369	39	]	]	PUNCT
iajs-2615	369	40	is	be	AUX
iajs-2615	369	41	a	a	DET
iajs-2615	369	42	wp	wp	NOUN
iajs-2615	369	43	–	–	PUNCT
iajs-2615	369	44	2	2	NUM
iajs-2615	369	45	–	–	PUNCT
iajs-2615	369	46	absorbing	absorb	VERB
iajs-2615	369	47	ideal	ideal	NOUN
iajs-2615	369	48	of	of	ADP
iajs-2615	369	49	r	r	NOUN
iajs-2615	369	50	.	.	PUNCT
iajs-2615	370	1	proof	proof	NOUN
iajs-2615	370	2	:	:	PUNCT
iajs-2615	370	3	(	(	PUNCT
iajs-2615	370	4			NOUN
iajs-2615	370	5	)	)	PUNCT
iajs-2615	370	6	let	let	VERB
iajs-2615	370	7	(	(	PUNCT
iajs-2615	370	8	0	0	NUM
iajs-2615	370	9	)	)	PUNCT
iajs-2615	370	10	≠	≠	PROPN
iajs-2615	370	11	i1i2	i1i2	PROPN
iajs-2615	370	12	i3	i3	PROPN
iajs-2615	370	13			PROPN
iajs-2615	370	14	[	[	PUNCT
iajs-2615	370	15	a	a	X
iajs-2615	370	16	:	:	PUNCT
iajs-2615	370	17	r	r	NOUN
iajs-2615	370	18	e	e	NOUN
iajs-2615	370	19	]	]	PUNCT
iajs-2615	370	20	for	for	ADP
iajs-2615	370	21	i1	i1	PROPN
iajs-2615	370	22	,	,	PUNCT
iajs-2615	370	23	i2	i2	PROPN
iajs-2615	370	24	,	,	PUNCT
iajs-2615	370	25	i3	i3	NOUN
iajs-2615	370	26	are	be	AUX
iajs-2615	370	27	ideals	ideal	NOUN
iajs-2615	370	28	of	of	ADP
iajs-2615	370	29	r	r	NOUN
iajs-2615	370	30	,	,	PUNCT
iajs-2615	370	31	it	it	PRON
iajs-2615	370	32	follows	follow	VERB
iajs-2615	370	33	that	that	SCONJ
iajs-2615	370	34	(	(	PUNCT
iajs-2615	370	35	0	0	NUM
iajs-2615	370	36	)	)	PUNCT
iajs-2615	370	37	≠	≠	PROPN
iajs-2615	370	38	i1i2	i1i2	PROPN
iajs-2615	370	39	i3	i3	PROPN
iajs-2615	370	40	e	e	PROPN
iajs-2615	370	41			PROPN
iajs-2615	370	42	a.	a.	NOUN
iajs-2615	371	1	but	but	CCONJ
iajs-2615	371	2	e	e	PROPN
iajs-2615	371	3	is	be	AUX
iajs-2615	371	4	a	a	DET
iajs-2615	371	5	multiplication	multiplication	NOUN
iajs-2615	371	6	then	then	ADV
iajs-2615	371	7	(	(	PUNCT
iajs-2615	371	8	0	0	X
iajs-2615	371	9	)	)	PUNCT
iajs-2615	371	10	≠	≠	PROPN
iajs-2615	371	11	i1i2	i1i2	PROPN
iajs-2615	371	12	i3	i3	X
iajs-2615	371	13	e	e	NOUN
iajs-2615	371	14	=	=	PUNCT
iajs-2615	371	15	l1l2l3	l1l2l3	PROPN
iajs-2615	371	16			NOUN
iajs-2615	371	17	a	a	X
iajs-2615	371	18	by	by	ADP
iajs-2615	371	19	taking	take	VERB
iajs-2615	371	20	l1	l1	PROPN
iajs-2615	371	21	=	=	SYM
iajs-2615	371	22	i1e	i1e	PROPN
iajs-2615	371	23	,	,	PUNCT
iajs-2615	371	24	l2	l2	NOUN
iajs-2615	371	25	=	=	SYM
iajs-2615	371	26	i2e	i2e	ADJ
iajs-2615	371	27	and	and	CCONJ
iajs-2615	371	28	l3	l3	PROPN
iajs-2615	371	29	=	=	PROPN
iajs-2615	371	30	i3e	i3e	NOUN
iajs-2615	371	31	.	.	PUNCT
iajs-2615	372	1	now	now	ADV
iajs-2615	372	2	since	since	SCONJ
iajs-2615	372	3	a	a	PRON
iajs-2615	372	4	is	be	AUX
iajs-2615	372	5	a	a	DET
iajs-2615	372	6	wp	wp	NOUN
iajs-2615	372	7	–	–	PUNCT
iajs-2615	372	8	2	2	NUM
iajs-2615	372	9	–	–	PUNCT
iajs-2615	372	10	absorbing	absorbing	ADJ
iajs-2615	372	11	,	,	PUNCT
iajs-2615	372	12	then	then	ADV
iajs-2615	372	13	by	by	ADP
iajs-2615	372	14	proposition	proposition	NOUN
iajs-2615	372	15	(	(	PUNCT
iajs-2615	372	16	23	23	NUM
iajs-2615	372	17	)	)	PUNCT
iajs-2615	372	18	either	either	CCONJ
iajs-2615	372	19	l1	l1	PROPN
iajs-2615	372	20	l3	l3	PROPN
iajs-2615	372	21			PROPN
iajs-2615	372	22	a	a	DET
iajs-2615	372	23	+	+	X
iajs-2615	372	24	soc	soc	NOUN
iajs-2615	372	25	(	(	PUNCT
iajs-2615	372	26	e	e	NOUN
iajs-2615	372	27	)	)	PUNCT
iajs-2615	372	28	or	or	CCONJ
iajs-2615	372	29	l2l3	l2l3	X
iajs-2615	372	30			PROPN
iajs-2615	372	31	a	a	DET
iajs-2615	372	32	+	+	X
iajs-2615	372	33	soc	soc	NOUN
iajs-2615	372	34	(	(	PUNCT
iajs-2615	372	35	e	e	NOUN
iajs-2615	372	36	)	)	PUNCT
iajs-2615	372	37	or	or	CCONJ
iajs-2615	372	38	l1l2	l1l2	ADJ
iajs-2615	372	39			PROPN
iajs-2615	372	40	a	a	DET
iajs-2615	372	41	+	+	X
iajs-2615	372	42	soc	soc	NOUN
iajs-2615	372	43	(	(	PUNCT
iajs-2615	372	44	e	e	NOUN
iajs-2615	372	45	)	)	PUNCT
iajs-2615	372	46	.	.	PUNCT
iajs-2615	373	1	but	but	CCONJ
iajs-2615	373	2	e	e	NOUN
iajs-2615	373	3	is	be	AUX
iajs-2615	373	4	a	a	DET
iajs-2615	373	5	faithful	faithful	ADJ
iajs-2615	373	6	multiplication	multiplication	NOUN
iajs-2615	373	7	then	then	ADV
iajs-2615	373	8	soc	soc	NOUN
iajs-2615	373	9	(	(	PUNCT
iajs-2615	373	10	e	e	NOUN
iajs-2615	373	11	)	)	PUNCT
iajs-2615	373	12	=	=	SYM
iajs-2615	373	13	soc	soc	NOUN
iajs-2615	373	14	(	(	PUNCT
iajs-2615	373	15	r)e	r)e	X
iajs-2615	373	16	.	.	PUNCT
iajs-2615	374	1	thus	thus	ADV
iajs-2615	374	2	either	either	CCONJ
iajs-2615	374	3	i1	i1	PROPN
iajs-2615	374	4	i3e	i3e	NOUN
iajs-2615	374	5			PROPN
iajs-2615	374	6	[	[	PUNCT
iajs-2615	374	7	a	a	X
iajs-2615	374	8	:	:	PUNCT
iajs-2615	374	9	r	r	NOUN
iajs-2615	374	10	e	e	NOUN
iajs-2615	374	11	]	]	X
iajs-2615	374	12	e	e	X
iajs-2615	374	13	+	+	NUM
iajs-2615	374	14	soc	soc	NOUN
iajs-2615	374	15	(	(	PUNCT
iajs-2615	374	16	r	r	NOUN
iajs-2615	374	17	)	)	PUNCT
iajs-2615	374	18	e	e	NOUN
iajs-2615	374	19	or	or	CCONJ
iajs-2615	374	20	i2	i2	PROPN
iajs-2615	374	21	i3	i3	PROPN
iajs-2615	374	22	e	e	PROPN
iajs-2615	374	23			PROPN
iajs-2615	374	24	[	[	PUNCT
iajs-2615	374	25	a	a	X
iajs-2615	374	26	:	:	PUNCT
iajs-2615	374	27	r	r	NOUN
iajs-2615	374	28	e	e	NOUN
iajs-2615	374	29	]	]	X
iajs-2615	374	30	e	e	X
iajs-2615	374	31	+	+	NUM
iajs-2615	374	32	soc	soc	NOUN
iajs-2615	374	33	(	(	PUNCT
iajs-2615	374	34	r	r	NOUN
iajs-2615	374	35	)	)	PUNCT
iajs-2615	374	36	e	e	NOUN
iajs-2615	374	37	or	or	CCONJ
iajs-2615	374	38	i1i2e	i1i2e	NUM
iajs-2615	374	39			PROPN
iajs-2615	374	40	[	[	PUNCT
iajs-2615	374	41	a	a	X
iajs-2615	374	42	:	:	PUNCT
iajs-2615	374	43	r	r	NOUN
iajs-2615	374	44	e	e	NOUN
iajs-2615	374	45	]	]	X
iajs-2615	374	46	e	e	X
iajs-2615	374	47	+	+	NUM
iajs-2615	374	48	soc	soc	NOUN
iajs-2615	374	49	(	(	PUNCT
iajs-2615	374	50	r	r	NOUN
iajs-2615	374	51	)	)	PUNCT
iajs-2615	374	52	e	e	NOUN
iajs-2615	374	53	.	.	PUNCT
iajs-2615	375	1	that	that	PRON
iajs-2615	375	2	is	be	AUX
iajs-2615	375	3	either	either	CCONJ
iajs-2615	375	4	i1	i1	PROPN
iajs-2615	375	5	i3	i3	PROPN
iajs-2615	375	6			PROPN
iajs-2615	375	7	[	[	PUNCT
iajs-2615	375	8	a	a	X
iajs-2615	375	9	:	:	PUNCT
iajs-2615	375	10	r	r	NOUN
iajs-2615	375	11	e	e	NOUN
iajs-2615	375	12	]	]	PUNCT
iajs-2615	376	1	+	+	CCONJ
iajs-2615	376	2	soc	soc	NOUN
iajs-2615	376	3	(	(	PUNCT
iajs-2615	376	4	r	r	NOUN
iajs-2615	376	5	)	)	PUNCT
iajs-2615	376	6	or	or	CCONJ
iajs-2615	376	7	i2	i2	PROPN
iajs-2615	376	8	i3	i3	NOUN
iajs-2615	376	9			PROPN
iajs-2615	376	10	[	[	PUNCT
iajs-2615	376	11	a	a	X
iajs-2615	376	12	:	:	PUNCT
iajs-2615	376	13	r	r	NOUN
iajs-2615	376	14	e	e	NOUN
iajs-2615	376	15	]	]	PUNCT
iajs-2615	377	1	+	+	CCONJ
iajs-2615	377	2	soc	soc	NOUN
iajs-2615	377	3	(	(	PUNCT
iajs-2615	377	4	r	r	NOUN
iajs-2615	377	5	)	)	PUNCT
iajs-2615	377	6	or	or	CCONJ
iajs-2615	377	7	i1i2	i1i2	ADJ
iajs-2615	377	8			PROPN
iajs-2615	377	9	[	[	PUNCT
iajs-2615	377	10	a	a	PRON
iajs-2615	377	11	:	:	PUNCT
iajs-2615	377	12	r	r	NOUN
iajs-2615	377	13	e	e	NOUN
iajs-2615	377	14	]	]	PUNCT
iajs-2615	377	15	+	+	CCONJ
iajs-2615	377	16	soc	soc	NOUN
iajs-2615	377	17	(	(	PUNCT
iajs-2615	377	18	r	r	NOUN
iajs-2615	377	19	)	)	PUNCT
iajs-2615	377	20	=[	=[	NOUN
iajs-2615	378	1	[	[	X
iajs-2615	378	2	a	a	X
iajs-2615	378	3	:	:	PUNCT
iajs-2615	378	4	r	r	NOUN
iajs-2615	378	5	e	e	NOUN
iajs-2615	378	6	]	]	PUNCT
iajs-2615	378	7	+	+	CCONJ
iajs-2615	378	8	soc	soc	NOUN
iajs-2615	378	9	(	(	PUNCT
iajs-2615	378	10	r	r	NOUN
iajs-2615	378	11	)	)	PUNCT
iajs-2615	378	12	:	:	PUNCT
iajs-2615	378	13	e	e	X
iajs-2615	378	14	r	r	NOUN
iajs-2615	378	15	]	]	PUNCT
iajs-2615	378	16	.	.	PUNCT
iajs-2615	379	1	therefore	therefore	ADV
iajs-2615	379	2	by	by	ADP
iajs-2615	379	3	proposition	proposition	NOUN
iajs-2615	379	4	(	(	PUNCT
iajs-2615	379	5	6	6	NUM
iajs-2615	379	6	)	)	PUNCT
iajs-2615	379	7	[	[	PUNCT
iajs-2615	379	8	a	a	X
iajs-2615	379	9	:	:	PUNCT
iajs-2615	379	10	r	r	NOUN
iajs-2615	379	11	e	e	NOUN
iajs-2615	379	12	]	]	PUNCT
iajs-2615	379	13	is	be	AUX
iajs-2615	379	14	a	a	DET
iajs-2615	379	15	wp	wp	NOUN
iajs-2615	379	16	–	–	PUNCT
iajs-2615	379	17	2	2	NUM
iajs-2615	379	18	–	–	PUNCT
iajs-2615	379	19	absorbing	absorb	VERB
iajs-2615	379	20	ideal	ideal	NOUN
iajs-2615	379	21	of	of	ADP
iajs-2615	379	22	r	r	NOUN
iajs-2615	379	23	.	.	PUNCT
iajs-2615	380	1	(	(	PUNCT
iajs-2615	380	2			PROPN
iajs-2615	380	3	)	)	PUNCT
iajs-2615	381	1	let	let	VERB
iajs-2615	381	2	(	(	PUNCT
iajs-2615	381	3	0	0	NUM
iajs-2615	381	4	)	)	PUNCT
iajs-2615	381	5	≠	≠	PROPN
iajs-2615	381	6	i1i2l	i1i2l	NUM
iajs-2615	381	7			PROPN
iajs-2615	381	8	a	a	PROPN
iajs-2615	381	9	for	for	ADP
iajs-2615	381	10	i1	i1	PROPN
iajs-2615	381	11	,	,	PUNCT
iajs-2615	381	12	i2	i2	PROPN
iajs-2615	381	13	are	be	AUX
iajs-2615	381	14	ideals	ideal	NOUN
iajs-2615	381	15	of	of	ADP
iajs-2615	381	16	r	r	NOUN
iajs-2615	381	17	and	and	CCONJ
iajs-2615	381	18	l	l	NOUN
iajs-2615	381	19	is	be	AUX
iajs-2615	381	20	submodule	submodule	NOUN
iajs-2615	381	21	of	of	ADP
iajs-2615	381	22	e.	e.	PROPN
iajs-2615	381	23	since	since	SCONJ
iajs-2615	381	24	e	e	PROPN
iajs-2615	381	25	is	be	AUX
iajs-2615	381	26	a	a	DET
iajs-2615	381	27	multiplication	multiplication	NOUN
iajs-2615	381	28	,	,	PUNCT
iajs-2615	381	29	then	then	ADV
iajs-2615	381	30	l	l	NOUN
iajs-2615	381	31	=	=	PUNCT
iajs-2615	381	32	i3e	i3e	NOUN
iajs-2615	381	33	for	for	ADP
iajs-2615	381	34	some	some	DET
iajs-2615	381	35	ideal	ideal	ADJ
iajs-2615	381	36	i3	i3	NOUN
iajs-2615	381	37	of	of	ADP
iajs-2615	381	38	r	r	NOUN
iajs-2615	381	39	.	.	PUNCT
iajs-2615	382	1	that	that	PRON
iajs-2615	382	2	is	is	ADV
iajs-2615	382	3	(	(	PUNCT
iajs-2615	382	4	0	0	NUM
iajs-2615	382	5	)	)	PUNCT
iajs-2615	382	6	≠	≠	PROPN
iajs-2615	382	7	i1	i1	PROPN
iajs-2615	382	8	i2	i2	PROPN
iajs-2615	382	9	i3	i3	PROPN
iajs-2615	382	10	e	e	PROPN
iajs-2615	382	11			VERB
iajs-2615	382	12	a	a	PRON
iajs-2615	382	13	,	,	PUNCT
iajs-2615	382	14	it	it	PRON
iajs-2615	382	15	follows	follow	VERB
iajs-2615	382	16	that	that	SCONJ
iajs-2615	382	17	(	(	PUNCT
iajs-2615	382	18	0	0	X
iajs-2615	382	19	)	)	PUNCT
iajs-2615	382	20	≠	≠	PROPN
iajs-2615	382	21	i1	i1	PROPN
iajs-2615	382	22	i2	i2	PROPN
iajs-2615	382	23	i3	i3	PROPN
iajs-2615	382	24			PROPN
iajs-2615	382	25	[	[	PUNCT
iajs-2615	382	26	a	a	X
iajs-2615	382	27	:	:	PUNCT
iajs-2615	382	28	r	r	NOUN
iajs-2615	382	29	e	e	NOUN
iajs-2615	382	30	]	]	PUNCT
iajs-2615	382	31	.	.	PUNCT
iajs-2615	383	1	but	but	CCONJ
iajs-2615	383	2	[	[	PUNCT
iajs-2615	383	3	a	a	X
iajs-2615	383	4	:	:	PUNCT
iajs-2615	383	5	r	r	NOUN
iajs-2615	383	6	e	e	NOUN
iajs-2615	383	7	]	]	PUNCT
iajs-2615	383	8	is	be	AUX
iajs-2615	383	9	a	a	DET
iajs-2615	383	10	wp	wp	NOUN
iajs-2615	383	11	–	–	PUNCT
iajs-2615	383	12	2	2	NUM
iajs-2615	383	13	–	–	PUNCT
iajs-2615	383	14	absorbing	absorb	VERB
iajs-2615	383	15	ideal	ideal	NOUN
iajs-2615	383	16	of	of	ADP
iajs-2615	383	17	r	r	NOUN
iajs-2615	383	18	,	,	PUNCT
iajs-2615	383	19	then	then	ADV
iajs-2615	383	20	by	by	ADP
iajs-2615	383	21	proposition	proposition	NOUN
iajs-2615	383	22	(	(	PUNCT
iajs-2615	383	23	6	6	NUM
iajs-2615	383	24	)	)	PUNCT
iajs-2615	383	25	either	either	CCONJ
iajs-2615	383	26	i1	i1	PROPN
iajs-2615	383	27	i3	i3	PROPN
iajs-2615	383	28			PROPN
iajs-2615	383	29	[	[	PUNCT
iajs-2615	383	30	a	a	X
iajs-2615	383	31	:	:	PUNCT
iajs-2615	383	32	r	r	NOUN
iajs-2615	383	33	e	e	NOUN
iajs-2615	383	34	]	]	PUNCT
iajs-2615	384	1	+	+	CCONJ
iajs-2615	384	2	soc	soc	NOUN
iajs-2615	384	3	(	(	PUNCT
iajs-2615	384	4	r	r	NOUN
iajs-2615	384	5	)	)	PUNCT
iajs-2615	384	6	or	or	CCONJ
iajs-2615	384	7	i2	i2	PROPN
iajs-2615	384	8	i3	i3	NOUN
iajs-2615	384	9			PROPN
iajs-2615	384	10	[	[	PUNCT
iajs-2615	384	11	a	a	X
iajs-2615	384	12	:	:	PUNCT
iajs-2615	384	13	r	r	NOUN
iajs-2615	384	14	e	e	NOUN
iajs-2615	384	15	]	]	PUNCT
iajs-2615	384	16	+	+	CCONJ
iajs-2615	384	17	soc	soc	NOUN
iajs-2615	384	18	(	(	PUNCT
iajs-2615	384	19	r	r	NOUN
iajs-2615	384	20	)	)	PUNCT
iajs-2615	384	21	or	or	CCONJ
iajs-2615	384	22	i1i2	i1i2	ADJ
iajs-2615	384	23			PROPN
iajs-2615	384	24	[	[	PUNCT
iajs-2615	384	25	a	a	PRON
iajs-2615	384	26	:	:	PUNCT
iajs-2615	384	27	r	r	NOUN
iajs-2615	384	28	e	e	NOUN
iajs-2615	384	29	]	]	PUNCT
iajs-2615	384	30	+	+	CCONJ
iajs-2615	384	31	soc	soc	NOUN
iajs-2615	384	32	(	(	PUNCT
iajs-2615	384	33	r	r	NOUN
iajs-2615	384	34	)	)	PUNCT
iajs-2615	384	35	.thus	.thus	CCONJ
iajs-2615	384	36	either	either	CCONJ
iajs-2615	384	37	i1	i1	PROPN
iajs-2615	384	38	i3e	i3e	NOUN
iajs-2615	384	39			PROPN
iajs-2615	384	40	[	[	PUNCT
iajs-2615	384	41	a	a	X
iajs-2615	384	42	:	:	PUNCT
iajs-2615	384	43	r	r	NOUN
iajs-2615	384	44	e	e	NOUN
iajs-2615	384	45	]	]	X
iajs-2615	384	46	e	e	X
iajs-2615	384	47	+	+	NUM
iajs-2615	384	48	soc	soc	NOUN
iajs-2615	384	49	(	(	PUNCT
iajs-2615	384	50	r	r	NOUN
iajs-2615	384	51	)	)	PUNCT
iajs-2615	384	52	e	e	NOUN
iajs-2615	384	53	or	or	CCONJ
iajs-2615	384	54	i2	i2	PROPN
iajs-2615	384	55	i3	i3	PROPN
iajs-2615	384	56	e	e	PROPN
iajs-2615	384	57			PROPN
iajs-2615	384	58	[	[	PUNCT
iajs-2615	384	59	a	a	X
iajs-2615	384	60	:	:	PUNCT
iajs-2615	384	61	r	r	NOUN
iajs-2615	384	62	e	e	NOUN
iajs-2615	384	63	]	]	X
iajs-2615	384	64	e	e	X
iajs-2615	384	65	+	+	NUM
iajs-2615	384	66	soc	soc	NOUN
iajs-2615	384	67	(	(	PUNCT
iajs-2615	384	68	r	r	NOUN
iajs-2615	384	69	)	)	PUNCT
iajs-2615	384	70	e	e	NOUN
iajs-2615	384	71	or	or	CCONJ
iajs-2615	384	72	i1i2e	i1i2e	NUM
iajs-2615	384	73			PROPN
iajs-2615	384	74	[	[	PUNCT
iajs-2615	384	75	a	a	X
iajs-2615	384	76	:	:	PUNCT
iajs-2615	384	77	r	r	NOUN
iajs-2615	384	78	e	e	NOUN
iajs-2615	384	79	]	]	X
iajs-2615	384	80	e	e	X
iajs-2615	384	81	+	+	NUM
iajs-2615	384	82	soc	soc	NOUN
iajs-2615	384	83	(	(	PUNCT
iajs-2615	384	84	r	r	NOUN
iajs-2615	384	85	)	)	PUNCT
iajs-2615	384	86	e	e	NOUN
iajs-2615	384	87	.	.	PUNCT
iajs-2615	385	1	that	that	PRON
iajs-2615	385	2	is	be	AUX
iajs-2615	385	3	either	either	CCONJ
iajs-2615	385	4	i1l	i1l	ADJ
iajs-2615	385	5			PROPN
iajs-2615	385	6	a	a	DET
iajs-2615	385	7	+	+	X
iajs-2615	385	8	soc	soc	NOUN
iajs-2615	385	9	(	(	PUNCT
iajs-2615	385	10	e	e	NOUN
iajs-2615	385	11	)	)	PUNCT
iajs-2615	385	12	or	or	CCONJ
iajs-2615	385	13	i2l	i2l	PROPN
iajs-2615	385	14			VERB
iajs-2615	385	15	a	a	DET
iajs-2615	385	16	+	+	X
iajs-2615	385	17	soc	soc	NOUN
iajs-2615	385	18	(	(	PUNCT
iajs-2615	385	19	e	e	NOUN
iajs-2615	385	20	)	)	PUNCT
iajs-2615	385	21	or	or	CCONJ
iajs-2615	385	22	i1i2e	i1i2e	NUM
iajs-2615	385	23			PROPN
iajs-2615	385	24	a	a	DET
iajs-2615	385	25	+	+	X
iajs-2615	385	26	soc	soc	NOUN
iajs-2615	385	27	(	(	PUNCT
iajs-2615	385	28	e	e	NOUN
iajs-2615	385	29	)	)	PUNCT
iajs-2615	385	30	,	,	PUNCT
iajs-2615	385	31	(	(	PUNCT
iajs-2615	385	32	ie	ie	X
iajs-2615	385	33	i1i2	i1i2	PROPN
iajs-2615	385	34			PROPN
iajs-2615	385	35	[	[	PUNCT
iajs-2615	385	36	a	a	DET
iajs-2615	385	37	+	+	X
iajs-2615	385	38	soc	soc	NOUN
iajs-2615	385	39	(	(	PUNCT
iajs-2615	385	40	e	e	NOUN
iajs-2615	385	41	)	)	PUNCT
iajs-2615	385	42	:	:	PUNCT
iajs-2615	385	43	r	r	NOUN
iajs-2615	385	44	e	e	NOUN
iajs-2615	385	45	]	]	PUNCT
iajs-2615	385	46	.	.	PUNCT
iajs-2615	386	1	hence	hence	ADV
iajs-2615	386	2	by	by	ADP
iajs-2615	386	3	proposition	proposition	NOUN
iajs-2615	386	4	(	(	PUNCT
iajs-2615	386	5	6	6	NUM
iajs-2615	386	6	)	)	PUNCT
iajs-2615	386	7	a	a	PRON
iajs-2615	386	8	is	be	AUX
iajs-2615	386	9	a	a	DET
iajs-2615	386	10	wp	wp	NOUN
iajs-2615	386	11	–	–	PUNCT
iajs-2615	386	12	2	2	NUM
iajs-2615	386	13	–	–	PUNCT
iajs-2615	386	14	absorbing	absorb	VERB
iajs-2615	386	15	submodule	submodule	NOUN
iajs-2615	386	16	of	of	ADP
iajs-2615	386	17	e	e	PROPN
iajs-2615	386	18	.	.	PUNCT
iajs-2615	387	1	it	it	PRON
iajs-2615	387	2	is	be	AUX
iajs-2615	387	3	well	well	ADV
iajs-2615	387	4	known	know	VERB
iajs-2615	387	5	that	that	SCONJ
iajs-2615	387	6	cyclic	cyclic	ADJ
iajs-2615	387	7	rmodule	rmodule	NOUN
iajs-2615	387	8	is	be	AUX
iajs-2615	387	9	multiplication	multiplication	NOUN
iajs-2615	387	10	[	[	X
iajs-2615	387	11	10	10	NUM
iajs-2615	387	12	]	]	PUNCT
iajs-2615	387	13	.	.	PUNCT
iajs-2615	388	1	we	we	PRON
iajs-2615	388	2	get	get	VERB
iajs-2615	388	3	the	the	DET
iajs-2615	388	4	following	follow	VERB
iajs-2615	388	5	corollary	corollary	ADJ
iajs-2615	388	6	:	:	PUNCT
iajs-2615	388	7	corollary	corollary	ADJ
iajs-2615	388	8	26	26	NUM
iajs-2615	388	9	.	.	PUNCT
iajs-2615	389	1	let	let	VERB
iajs-2615	389	2	e	e	PRON
iajs-2615	389	3	be	be	AUX
iajs-2615	389	4	faithful	faithful	ADJ
iajs-2615	389	5	cyclic	cyclic	ADJ
iajs-2615	389	6	r	r	NOUN
iajs-2615	389	7	–	–	PUNCT
iajs-2615	389	8	module	module	NOUN
iajs-2615	389	9	and	and	CCONJ
iajs-2615	389	10	a	a	DET
iajs-2615	389	11	be	be	AUX
iajs-2615	389	12	a	a	DET
iajs-2615	389	13	proper	proper	ADJ
iajs-2615	389	14	submodule	submodule	NOUN
iajs-2615	389	15	of	of	ADP
iajs-2615	389	16	e.	e.	PROPN
iajs-2615	389	17	then	then	ADV
iajs-2615	389	18	a	a	PRON
iajs-2615	389	19	is	be	AUX
iajs-2615	389	20	a	a	DET
iajs-2615	389	21	wp	wp	NOUN
iajs-2615	389	22	–	–	PUNCT
iajs-2615	389	23	2	2	NUM
iajs-2615	389	24	–	–	PUNCT
iajs-2615	389	25	absorbing	absorb	VERB
iajs-2615	389	26	if	if	SCONJ
iajs-2615	389	27	and	and	CCONJ
iajs-2615	389	28	only	only	ADV
iajs-2615	389	29	if	if	SCONJ
iajs-2615	389	30	[	[	PUNCT
iajs-2615	389	31	a	a	DET
iajs-2615	389	32	:	:	PUNCT
iajs-2615	389	33	r	r	NOUN
iajs-2615	389	34	e	e	NOUN
iajs-2615	389	35	]	]	PUNCT
iajs-2615	389	36	is	be	AUX
iajs-2615	389	37	a	a	DET
iajs-2615	389	38	wp	wp	NOUN
iajs-2615	389	39	–	–	PUNCT
iajs-2615	389	40	2	2	NUM
iajs-2615	389	41	–	–	PUNCT
iajs-2615	389	42	absorbing	absorb	VERB
iajs-2615	389	43	ideal	ideal	NOUN
iajs-2615	389	44	of	of	ADP
iajs-2615	389	45	r	r	NOUN
iajs-2615	389	46	.	.	PUNCT
iajs-2615	390	1	proposition	proposition	NOUN
iajs-2615	390	2	.27	.27	NUM
iajs-2615	390	3	.	.	PUNCT
iajs-2615	391	1	let	let	VERB
iajs-2615	391	2	e	e	PRON
iajs-2615	391	3	be	be	AUX
iajs-2615	391	4	a	a	DET
iajs-2615	391	5	faithful	faithful	ADJ
iajs-2615	391	6	finitely	finitely	ADV
iajs-2615	391	7	generated	generate	VERB
iajs-2615	391	8	multiplication	multiplication	NOUN
iajs-2615	391	9	r	r	NOUN
iajs-2615	391	10	–	–	PUNCT
iajs-2615	391	11	module	module	NOUN
iajs-2615	391	12	and	and	CCONJ
iajs-2615	391	13	i	i	PRON
iajs-2615	391	14	be	be	VERB
iajs-2615	391	15	a	a	DET
iajs-2615	391	16	wp	wp	NOUN
iajs-2615	391	17	–	–	PUNCT
iajs-2615	391	18	2	2	NUM
iajs-2615	391	19	–	–	PUNCT
iajs-2615	391	20	absorbing	absorb	VERB
iajs-2615	391	21	ideal	ideal	NOUN
iajs-2615	391	22	of	of	ADP
iajs-2615	391	23	r	r	NOUN
iajs-2615	391	24	.	.	PUNCT
iajs-2615	392	1	then	then	ADV
iajs-2615	392	2	,	,	PUNCT
iajs-2615	392	3	ie	ie	X
iajs-2615	392	4	is	be	VERB
iajs-2615	392	5	a	a	DET
iajs-2615	392	6	wp	wp	NOUN
iajs-2615	392	7	–	–	PUNCT
iajs-2615	392	8	2	2	NUM
iajs-2615	392	9	–	–	PUNCT
iajs-2615	392	10	absorbing	absorb	VERB
iajs-2615	392	11	submodule	submodule	NOUN
iajs-2615	392	12	of	of	ADP
iajs-2615	392	13	e	e	PROPN
iajs-2615	392	14	.	.	PUNCT
iajs-2615	393	1	proof	proof	NOUN
iajs-2615	393	2	:	:	PUNCT
iajs-2615	393	3	let	let	VERB
iajs-2615	393	4	(	(	PUNCT
iajs-2615	393	5	0	0	NUM
iajs-2615	393	6	)	)	PUNCT
iajs-2615	393	7	≠	≠	PROPN
iajs-2615	393	8	ri1k	ri1k	PROPN
iajs-2615	393	9			PROPN
iajs-2615	393	10	ie	ie	ADV
iajs-2615	393	11	for	for	ADP
iajs-2615	393	12	r	r	NOUN
iajs-2615	393	13			PROPN
iajs-2615	393	14	r	r	NOUN
iajs-2615	393	15	,	,	PUNCT
iajs-2615	393	16	i1	i1	PROPN
iajs-2615	393	17	be	be	AUX
iajs-2615	393	18	an	an	DET
iajs-2615	393	19	ideal	ideal	NOUN
iajs-2615	393	20	of	of	ADP
iajs-2615	393	21	r	r	NOUN
iajs-2615	393	22	,	,	PUNCT
iajs-2615	393	23	k	k	PROPN
iajs-2615	393	24	is	be	AUX
iajs-2615	393	25	a	a	DET
iajs-2615	393	26	submodule	submodule	NOUN
iajs-2615	393	27	of	of	ADP
iajs-2615	393	28	e.	e.	PROPN
iajs-2615	393	29	it	it	PRON
iajs-2615	393	30	follows	follow	VERB
iajs-2615	393	31	that	that	SCONJ
iajs-2615	393	32	0	0	NUM
iajs-2615	393	33	≠	≠	PROPN
iajs-2615	393	34	ri1i2e	ri1i2e	PROPN
iajs-2615	393	35			VERB
iajs-2615	393	36	ie	ie	X
iajs-2615	393	37	f	f	PROPN
iajs-2615	393	38	or	or	CCONJ
iajs-2615	393	39	some	some	DET
iajs-2615	393	40	ideal	ideal	ADJ
iajs-2615	393	41	i2	i2	PROPN
iajs-2615	393	42	of	of	ADP
iajs-2615	393	43	r.	r.	PROPN
iajs-2615	393	44	since	since	SCONJ
iajs-2615	393	45	e	e	PROPN
iajs-2615	393	46	is	be	AUX
iajs-2615	393	47	a	a	DET
iajs-2615	393	48	finitely	finitely	ADV
iajs-2615	393	49	generated	generate	VERB
iajs-2615	393	50	multiplication	multiplication	NOUN
iajs-2615	393	51	,	,	PUNCT
iajs-2615	393	52	then	then	ADV
iajs-2615	393	53	by[2	by[2	PROPN
iajs-2615	393	54	coro	coro	PROPN
iajs-2615	393	55	.	.	PUNCT
iajs-2615	393	56	of	of	ADP
iajs-2615	393	57	theo	theo	PROPN
iajs-2615	393	58	.	.	PUNCT
iajs-2615	394	1	(	(	PUNCT
iajs-2615	394	2	9	9	NUM
iajs-2615	394	3	)	)	PUNCT
iajs-2615	394	4	]	]	PUNCT
iajs-2615	395	1	we	we	PRON
iajs-2615	395	2	have	have	VERB
iajs-2615	395	3	0	0	NUM
iajs-2615	395	4	≠	≠	PROPN
iajs-2615	395	5	r	r	NOUN
iajs-2615	395	6	i1i2	i1i2	NOUN
iajs-2615	395	7			PROPN
iajs-2615	395	8	i	i	PROPN
iajs-2615	395	9	+	+	X
iajs-2615	395	10	ann	ann	PROPN
iajs-2615	395	11	(	(	PUNCT
iajs-2615	395	12	e	e	NOUN
iajs-2615	395	13	)	)	PUNCT
iajs-2615	396	1	=	=	SYM
iajs-2615	396	2	i	i	INTJ
iajs-2615	396	3	.	.	PUNCT
iajs-2615	397	1	but	but	CCONJ
iajs-2615	397	2	i	i	PRON
iajs-2615	397	3	is	be	AUX
iajs-2615	397	4	a	a	DET
iajs-2615	397	5	wp	wp	NOUN
iajs-2615	397	6	–	–	PUNCT
iajs-2615	397	7	2	2	NUM
iajs-2615	397	8	–	–	PUNCT
iajs-2615	397	9	absorbing	absorbing	NOUN
iajs-2615	397	10	,	,	PUNCT
iajs-2615	397	11	then	then	ADV
iajs-2615	397	12	,	,	PUNCT
iajs-2615	397	13	by	by	ADP
iajs-2615	397	14	corollary	corollary	ADJ
iajs-2615	397	15	(	(	PUNCT
iajs-2615	397	16	8)	8)	NUM
iajs-2615	397	17	either	either	CCONJ
iajs-2615	397	18	ri2	ri2	NOUN
iajs-2615	397	19			PROPN
iajs-2615	397	20	i	i	PRON
iajs-2615	397	21	+	+	CCONJ
iajs-2615	397	22	soc	soc	NOUN
iajs-2615	397	23	(	(	PUNCT
iajs-2615	397	24	r	r	NOUN
iajs-2615	397	25	)	)	PUNCT
iajs-2615	398	1	or	or	CCONJ
iajs-2615	398	2	i1i2	i1i2	ADJ
iajs-2615	398	3			PROPN
iajs-2615	398	4	i	i	PRON
iajs-2615	398	5	+	+	CCONJ
iajs-2615	398	6	soc	soc	NOUN
iajs-2615	398	7	(	(	PUNCT
iajs-2615	398	8	r	r	NOUN
iajs-2615	398	9	)	)	PUNCT
iajs-2615	398	10	or	or	CCONJ
iajs-2615	398	11	ri1	ri1	NOUN
iajs-2615	398	12			PROPN
iajs-2615	398	13	[	[	PUNCT
iajs-2615	398	14	i	i	PRON
iajs-2615	398	15	+	+	CCONJ
iajs-2615	398	16	soc	soc	NOUN
iajs-2615	398	17	(	(	PUNCT
iajs-2615	398	18	r	r	NOUN
iajs-2615	398	19	)	)	PUNCT
iajs-2615	398	20	:	:	PUNCT
iajs-2615	398	21	r	r	NOUN
iajs-2615	398	22	r	r	NOUN
iajs-2615	398	23	]	]	X
iajs-2615	398	24	=	=	PUNCT
iajs-2615	398	25	i	i	PRON
iajs-2615	398	26	+	+	CCONJ
iajs-2615	398	27	soc	soc	NOUN
iajs-2615	398	28	(	(	PUNCT
iajs-2615	398	29	r	r	NOUN
iajs-2615	398	30	)	)	PUNCT
iajs-2615	398	31	.	.	PUNCT
iajs-2615	399	1	that	that	PRON
iajs-2615	399	2	is	be	AUX
iajs-2615	399	3	either	either	PRON
iajs-2615	399	4	ri2e	ri2e	VERB
iajs-2615	399	5			ADJ
iajs-2615	399	6	ie	ie	X
iajs-2615	399	7	+	+	X
iajs-2615	399	8	soc	soc	NOUN
iajs-2615	399	9	(	(	PUNCT
iajs-2615	399	10	r	r	NOUN
iajs-2615	399	11	)	)	PUNCT
iajs-2615	399	12	e	e	NOUN
iajs-2615	399	13	or	or	CCONJ
iajs-2615	399	14	i1i2e	i1i2e	NUM
iajs-2615	399	15			PROPN
iajs-2615	399	16	ie	ie	X
iajs-2615	399	17	+	+	X
iajs-2615	399	18	soc	soc	NOUN
iajs-2615	399	19	(	(	PUNCT
iajs-2615	399	20	r	r	NOUN
iajs-2615	399	21	)	)	PUNCT
iajs-2615	399	22	e	e	NOUN
iajs-2615	399	23	or	or	CCONJ
iajs-2615	399	24	ri1e	ri1e	PROPN
iajs-2615	399	25			PROPN
iajs-2615	399	26	ie	ie	X
iajs-2615	399	27	+	+	X
iajs-2615	399	28	soc	soc	NOUN
iajs-2615	399	29	(	(	PUNCT
iajs-2615	399	30	r	r	NOUN
iajs-2615	399	31	)	)	PUNCT
iajs-2615	399	32	e	e	NOUN
iajs-2615	399	33	.	.	PUNCT
iajs-2615	400	1	thus	thus	ADV
iajs-2615	400	2	either	either	CCONJ
iajs-2615	400	3	rk	rk	PRON
iajs-2615	400	4			VERB
iajs-2615	400	5	ie	ie	X
iajs-2615	400	6	+	+	X
iajs-2615	400	7	soc	soc	NOUN
iajs-2615	400	8	(	(	PUNCT
iajs-2615	400	9	e	e	NOUN
iajs-2615	400	10	)	)	PUNCT
iajs-2615	400	11	98	98	NUM
iajs-2615	400	12	ibn	ibn	PROPN
iajs-2615	400	13	al	al	PROPN
iajs-2615	400	14	-	-	PUNCT
iajs-2615	400	15	haitham	haitham	PROPN
iajs-2615	400	16	jour	jour	X
iajs-2615	400	17	.	.	PROPN
iajs-2615	401	1	for	for	ADP
iajs-2615	401	2	pure	pure	ADJ
iajs-2615	401	3	&	&	CCONJ
iajs-2615	401	4	appl	appl	PROPN
iajs-2615	401	5	.	.	PUNCT
iajs-2615	402	1	sci	sci	PROPN
iajs-2615	402	2	.	.	PROPN
iajs-2615	403	1	34	34	NUM
iajs-2615	403	2	(	(	PUNCT
iajs-2615	403	3	2	2	NUM
iajs-2615	403	4	)	)	PUNCT
iajs-2615	403	5	2021	2021	NUM
iajs-2615	403	6	or	or	CCONJ
iajs-2615	403	7	i1k	i1k	PROPN
iajs-2615	403	8			PROPN
iajs-2615	403	9	ie	ie	X
iajs-2615	403	10	+	+	X
iajs-2615	403	11	soc	soc	NOUN
iajs-2615	403	12	(	(	PUNCT
iajs-2615	403	13	e	e	NOUN
iajs-2615	403	14	)	)	PUNCT
iajs-2615	403	15	or	or	CCONJ
iajs-2615	403	16	r	r	PROPN
iajs-2615	403	17	i1	i1	PROPN
iajs-2615	403	18			PROPN
iajs-2615	403	19	[	[	PUNCT
iajs-2615	403	20	ie	ie	X
iajs-2615	403	21	+	+	X
iajs-2615	403	22	soc	soc	NOUN
iajs-2615	403	23	(	(	PUNCT
iajs-2615	403	24	e	e	NOUN
iajs-2615	403	25	)	)	PUNCT
iajs-2615	403	26	:	:	PUNCT
iajs-2615	403	27	r	r	NOUN
iajs-2615	403	28	e	e	NOUN
iajs-2615	403	29	]	]	X
iajs-2615	403	30	.	.	PUNCT
iajs-2615	404	1	therefore	therefore	ADV
iajs-2615	404	2	,	,	PUNCT
iajs-2615	404	3	by	by	ADP
iajs-2615	404	4	corollary	corollary	ADJ
iajs-2615	404	5	(	(	PUNCT
iajs-2615	404	6	8)	8)	NUM
iajs-2615	404	7	ie	ie	X
iajs-2615	404	8	is	be	AUX
iajs-2615	404	9	a	a	DET
iajs-2615	404	10	wp	wp	NOUN
iajs-2615	404	11	–	–	PUNCT
iajs-2615	404	12	2	2	NUM
iajs-2615	404	13	–	–	PUNCT
iajs-2615	404	14	absorbing	absorb	VERB
iajs-2615	404	15	submodule	submodule	NOUN
iajs-2615	404	16	of	of	ADP
iajs-2615	404	17	e	e	PROPN
iajs-2615	404	18	.	.	PUNCT
iajs-2615	405	1	it	it	PRON
iajs-2615	405	2	is	be	AUX
iajs-2615	405	3	well	well	ADV
iajs-2615	405	4	known	know	VERB
iajs-2615	405	5	that	that	SCONJ
iajs-2615	405	6	cyclic	cyclic	ADJ
iajs-2615	405	7	r	r	NOUN
iajs-2615	405	8	–	–	PUNCT
iajs-2615	405	9	modules	module	NOUN
iajs-2615	405	10	are	be	AUX
iajs-2615	405	11	finitely	finitely	ADV
iajs-2615	405	12	generated	generate	VERB
iajs-2615	405	13	[	[	PUNCT
iajs-2615	405	14	8	8	NUM
iajs-2615	405	15	]	]	PUNCT
iajs-2615	405	16	,	,	PUNCT
iajs-2615	405	17	we	we	PRON
iajs-2615	405	18	get	get	VERB
iajs-2615	405	19	the	the	DET
iajs-2615	405	20	following	follow	VERB
iajs-2615	405	21	corollary	corollary	NOUN
iajs-2615	405	22	which	which	PRON
iajs-2615	405	23	is	be	AUX
iajs-2615	405	24	a	a	DET
iajs-2615	405	25	direct	direct	ADJ
iajs-2615	405	26	consequence	consequence	NOUN
iajs-2615	405	27	of	of	ADP
iajs-2615	405	28	proposition	proposition	NOUN
iajs-2615	405	29	(	(	PUNCT
iajs-2615	405	30	27	27	NUM
iajs-2615	405	31	)	)	PUNCT
iajs-2615	405	32	corollary	corollary	NOUN
iajs-2615	405	33	28	28	NUM
iajs-2615	405	34	.	.	PUNCT
iajs-2615	406	1	let	let	VERB
iajs-2615	406	2	e	e	PRON
iajs-2615	406	3	be	be	AUX
iajs-2615	406	4	a	a	DET
iajs-2615	406	5	faithful	faithful	ADJ
iajs-2615	406	6	cyclic	cyclic	NOUN
iajs-2615	406	7	r	r	NOUN
iajs-2615	406	8	–	–	PUNCT
iajs-2615	406	9	module	module	NOUN
iajs-2615	406	10	,	,	PUNCT
iajs-2615	406	11	and	and	CCONJ
iajs-2615	406	12	i	i	PRON
iajs-2615	406	13	be	be	VERB
iajs-2615	406	14	a	a	DET
iajs-2615	406	15	wp	wp	NOUN
iajs-2615	406	16	–	–	PUNCT
iajs-2615	406	17	2	2	NUM
iajs-2615	406	18	–	–	PUNCT
iajs-2615	406	19	absorbing	absorb	VERB
iajs-2615	406	20	ideal	ideal	NOUN
iajs-2615	406	21	of	of	ADP
iajs-2615	406	22	r.	r.	PROPN
iajs-2615	406	23	then	then	ADV
iajs-2615	406	24	,	,	PUNCT
iajs-2615	406	25	ie	ie	X
iajs-2615	406	26	is	be	AUX
iajs-2615	406	27	a	a	DET
iajs-2615	406	28	wp	wp	NOUN
iajs-2615	406	29	–	–	PUNCT
iajs-2615	406	30	2	2	NUM
iajs-2615	406	31	–	–	PUNCT
iajs-2615	406	32	absorbing	absorb	VERB
iajs-2615	406	33	submodule	submodule	NOUN
iajs-2615	406	34	of	of	ADP
iajs-2615	406	35	e	e	PROPN
iajs-2615	406	36	.	.	PUNCT
iajs-2615	407	1	3	3	X
iajs-2615	407	2	.	.	PUNCT
iajs-2615	407	3	conclusion	conclusion	NOUN
iajs-2615	407	4	.	.	PUNCT
iajs-2615	408	1	…	…	PUNCT
iajs-2615	408	2	a	a	DET
iajs-2615	408	3	new	new	ADJ
iajs-2615	408	4	generalization	generalization	NOUN
iajs-2615	408	5	of	of	ADP
iajs-2615	408	6	weakly	weakly	ADJ
iajs-2615	408	7	–	–	PUNCT
iajs-2615	408	8	2	2	NUM
iajs-2615	408	9	–	–	PUNCT
iajs-2615	408	10	absorbing	absorb	VERB
iajs-2615	408	11	submodule	submodule	NOUN
iajs-2615	408	12	was	be	AUX
iajs-2615	408	13	introduced	introduce	VERB
iajs-2615	408	14	,	,	PUNCT
iajs-2615	408	15	and	and	CCONJ
iajs-2615	408	16	many	many	ADJ
iajs-2615	408	17	characterizations	characterization	NOUN
iajs-2615	408	18	were	be	AUX
iajs-2615	408	19	given	give	VERB
iajs-2615	408	20	.	.	PUNCT
iajs-2615	409	1	the	the	DET
iajs-2615	409	2	definition	definition	NOUN
iajs-2615	409	3	of	of	ADP
iajs-2615	409	4	wp	wp	PROPN
iajs-2615	409	5	–	–	PUNCT
iajs-2615	409	6	triple	triple	NOUN
iajs-2615	409	7	zero	zero	NUM
iajs-2615	409	8	of	of	ADP
iajs-2615	409	9	wp	wp	PROPN
iajs-2615	409	10	–	–	PUNCT
iajs-2615	409	11	2	2	NUM
iajs-2615	409	12	–	–	PUNCT
iajs-2615	409	13	absorbing	absorb	VERB
iajs-2615	409	14	submodules	submodule	NOUN
iajs-2615	409	15	were	be	AUX
iajs-2615	409	16	introduced	introduce	VERB
iajs-2615	409	17	.	.	PUNCT
iajs-2615	410	1	a	a	DET
iajs-2615	410	2	lot	lot	NOUN
iajs-2615	410	3	of	of	ADP
iajs-2615	410	4	basic	basic	ADJ
iajs-2615	410	5	properties	property	NOUN
iajs-2615	410	6	of	of	ADP
iajs-2615	410	7	these	these	DET
iajs-2615	410	8	concepts	concept	NOUN
iajs-2615	410	9	were	be	AUX
iajs-2615	410	10	established	establish	VERB
iajs-2615	410	11	.	.	PUNCT
iajs-2615	411	1	among	among	ADP
iajs-2615	411	2	the	the	DET
iajs-2615	411	3	main	main	ADJ
iajs-2615	411	4	new	new	ADJ
iajs-2615	411	5	characterizations	characterization	NOUN
iajs-2615	411	6	of	of	ADP
iajs-2615	411	7	wp	wp	PROPN
iajs-2615	411	8	–	–	PUNCT
iajs-2615	411	9	2	2	NUM
iajs-2615	411	10	–	–	PUNCT
iajs-2615	411	11	absorbing	absorb	VERB
iajs-2615	411	12	submodules	submodule	NOUN
iajs-2615	411	13	are	be	AUX
iajs-2615	411	14	the	the	DET
iajs-2615	411	15	following	follow	VERB
iajs-2615	411	16			PROPN
iajs-2615	411	17			NOUN
iajs-2615	411	18	a	a	DET
iajs-2615	411	19	proper	proper	ADJ
iajs-2615	411	20	submodule	submodule	NOUN
iajs-2615	411	21	a	a	PRON
iajs-2615	411	22	of	of	ADP
iajs-2615	411	23	e	e	NOUN
iajs-2615	411	24	is	be	AUX
iajs-2615	411	25	a	a	DET
iajs-2615	411	26	wp2	wp2	NOUN
iajs-2615	411	27	–	–	PUNCT
iajs-2615	411	28	absorbing	absorb	VERB
iajs-2615	411	29	if	if	SCONJ
iajs-2615	411	30	and	and	CCONJ
iajs-2615	411	31	only	only	ADV
iajs-2615	411	32	if	if	SCONJ
iajs-2615	411	33	for	for	ADP
iajs-2615	411	34	any	any	DET
iajs-2615	411	35	t	t	NOUN
iajs-2615	411	36	,	,	PUNCT
iajs-2615	411	37	s	s	PART
iajs-2615	411	38			PROPN
iajs-2615	411	39	r	r	NOUN
iajs-2615	411	40	with	with	ADP
iajs-2615	411	41	ts	ts	X
iajs-2615	411	42			VERB
iajs-2615	411	43	[	[	PUNCT
iajs-2615	411	44	a	a	DET
iajs-2615	411	45	+	+	X
iajs-2615	411	46	soc	soc	NOUN
iajs-2615	411	47	(	(	PUNCT
iajs-2615	411	48	e	e	NOUN
iajs-2615	411	49	)	)	PUNCT
iajs-2615	411	50	:	:	PUNCT
iajs-2615	411	51	r	r	NOUN
iajs-2615	411	52	e	e	NOUN
iajs-2615	411	53	]	]	PUNCT
iajs-2615	411	54	;	;	PUNCT
iajs-2615	411	55	we	we	PRON
iajs-2615	411	56	have	have	VERB
iajs-2615	411	57	[	[	PUNCT
iajs-2615	411	58	a	a	X
iajs-2615	411	59	:	:	PUNCT
iajs-2615	411	60	e	e	NOUN
iajs-2615	411	61	ts	ts	X
iajs-2615	411	62	]	]	PUNCT
iajs-2615	411	63			PROPN
iajs-2615	411	64	[	[	PUNCT
iajs-2615	411	65	0	0	NUM
iajs-2615	411	66	:	:	PUNCT
iajs-2615	411	67	e	e	NOUN
iajs-2615	411	68	ts	ts	X
iajs-2615	411	69	]	]	PUNCT
iajs-2615	411	70			NOUN
iajs-2615	411	71	[	[	PUNCT
iajs-2615	411	72	a	a	DET
iajs-2615	411	73	+	+	X
iajs-2615	411	74	soc	soc	NOUN
iajs-2615	411	75	(	(	PUNCT
iajs-2615	411	76	e	e	NOUN
iajs-2615	411	77	)	)	PUNCT
iajs-2615	411	78	:	:	PUNCT
iajs-2615	411	79	e	e	X
iajs-2615	411	80	t	t	PROPN
iajs-2615	411	81	]	]	PUNCT
iajs-2615	411	82			NOUN
iajs-2615	411	83	[	[	PUNCT
iajs-2615	411	84	a	a	DET
iajs-2615	411	85	+	+	X
iajs-2615	411	86	soc	soc	NOUN
iajs-2615	411	87	(	(	PUNCT
iajs-2615	411	88	e	e	NOUN
iajs-2615	411	89	)	)	PUNCT
iajs-2615	411	90	:	:	PUNCT
iajs-2615	412	1	e	e	X
iajs-2615	412	2	s	s	X
iajs-2615	412	3	]	]	X
iajs-2615	412	4	.	.	PUNCT
iajs-2615	413	1			X
iajs-2615	413	2	a	a	DET
iajs-2615	413	3	proper	proper	ADJ
iajs-2615	413	4	submodule	submodule	NOUN
iajs-2615	413	5	a	a	PRON
iajs-2615	413	6	of	of	ADP
iajs-2615	413	7	e	e	NOUN
iajs-2615	413	8	is	be	AUX
iajs-2615	413	9	a	a	DET
iajs-2615	413	10	wp2	wp2	NOUN
iajs-2615	413	11	–	–	PUNCT
iajs-2615	413	12	absorbing	absorb	VERB
iajs-2615	413	13	if	if	SCONJ
iajs-2615	413	14	and	and	CCONJ
iajs-2615	413	15	only	only	ADV
iajs-2615	413	16	if	if	SCONJ
iajs-2615	413	17	0	0	NUM
iajs-2615	413	18	≠	≠	PROPN
iajs-2615	413	19	tsk	tsk	NOUN
iajs-2615	413	20			VERB
iajs-2615	413	21	a	a	PRON
iajs-2615	413	22	for	for	ADP
iajs-2615	413	23	t	t	NOUN
iajs-2615	413	24	,	,	PUNCT
iajs-2615	413	25	s	s	PART
iajs-2615	413	26			PROPN
iajs-2615	413	27	r	r	NOUN
iajs-2615	413	28	and	and	CCONJ
iajs-2615	413	29	k	k	PROPN
iajs-2615	413	30	is	be	AUX
iajs-2615	413	31	a	a	DET
iajs-2615	413	32	submodule	submodule	NOUN
iajs-2615	413	33	of	of	ADP
iajs-2615	413	34	e	e	PROPN
iajs-2615	413	35	,	,	PUNCT
iajs-2615	413	36	implies	imply	VERB
iajs-2615	413	37	that	that	SCONJ
iajs-2615	413	38	either	either	DET
iajs-2615	413	39	tk	tk	PROPN
iajs-2615	413	40			PROPN
iajs-2615	413	41	a	a	DET
iajs-2615	413	42	+	+	X
iajs-2615	413	43	soc	soc	NOUN
iajs-2615	413	44	(	(	PUNCT
iajs-2615	413	45	e	e	NOUN
iajs-2615	413	46	)	)	PUNCT
iajs-2615	413	47	or	or	CCONJ
iajs-2615	413	48	sk	sk	INTJ
iajs-2615	413	49			PROPN
iajs-2615	413	50	a	a	DET
iajs-2615	413	51	+	+	X
iajs-2615	413	52	soc	soc	NOUN
iajs-2615	413	53	(	(	PUNCT
iajs-2615	413	54	e	e	NOUN
iajs-2615	413	55	)	)	PUNCT
iajs-2615	413	56	or	or	CCONJ
iajs-2615	413	57	ts	ts	ADP
iajs-2615	413	58			NOUN
iajs-2615	413	59	[	[	PUNCT
iajs-2615	413	60	a	a	DET
iajs-2615	413	61	+	+	X
iajs-2615	413	62	soc	soc	NOUN
iajs-2615	413	63	(	(	PUNCT
iajs-2615	413	64	e	e	NOUN
iajs-2615	413	65	)	)	PUNCT
iajs-2615	413	66	:	:	PUNCT
iajs-2615	413	67	r	r	NOUN
iajs-2615	413	68	e	e	NOUN
iajs-2615	413	69	]	]	PUNCT
iajs-2615	413	70	.	.	PUNCT
iajs-2615	414	1			X
iajs-2615	414	2	a	a	DET
iajs-2615	414	3	proper	proper	ADJ
iajs-2615	414	4	submodule	submodule	NOUN
iajs-2615	414	5	a	a	PRON
iajs-2615	414	6	of	of	ADP
iajs-2615	414	7	a	a	DET
iajs-2615	414	8	cyclic	cyclic	ADJ
iajs-2615	414	9	r	r	NOUN
iajs-2615	414	10	–	–	PUNCT
iajs-2615	414	11	module	module	NOUN
iajs-2615	414	12	e	e	NOUN
iajs-2615	414	13	is	be	AUX
iajs-2615	414	14	a	a	DET
iajs-2615	414	15	wp2	wp2	NOUN
iajs-2615	414	16	–	–	PUNCT
iajs-2615	414	17	absorbing	absorb	VERB
iajs-2615	414	18	if	if	SCONJ
iajs-2615	414	19	and	and	CCONJ
iajs-2615	414	20	only	only	ADV
iajs-2615	414	21	if	if	SCONJ
iajs-2615	414	22	for	for	ADP
iajs-2615	414	23	each	each	DET
iajs-2615	414	24	t	t	NOUN
iajs-2615	414	25	,	,	PUNCT
iajs-2615	414	26	s	s	PART
iajs-2615	414	27			PROPN
iajs-2615	414	28	r	r	NOUN
iajs-2615	414	29	with	with	ADP
iajs-2615	414	30	ts	ts	X
iajs-2615	414	31			VERB
iajs-2615	414	32	[	[	PUNCT
iajs-2615	414	33	a	a	DET
iajs-2615	414	34	+	+	X
iajs-2615	414	35	soc	soc	NOUN
iajs-2615	414	36	(	(	PUNCT
iajs-2615	414	37	e	e	NOUN
iajs-2615	414	38	)	)	PUNCT
iajs-2615	414	39	:	:	PUNCT
iajs-2615	414	40	r	r	NOUN
iajs-2615	414	41	e	e	NOUN
iajs-2615	414	42	]	]	PUNCT
iajs-2615	414	43	,	,	PUNCT
iajs-2615	414	44	we	we	PRON
iajs-2615	414	45	have	have	VERB
iajs-2615	414	46	[	[	PUNCT
iajs-2615	414	47	a	a	X
iajs-2615	414	48	:	:	PUNCT
iajs-2615	414	49	r	r	NOUN
iajs-2615	414	50	tse	tse	PROPN
iajs-2615	414	51	]	]	PUNCT
iajs-2615	414	52			PROPN
iajs-2615	414	53	[	[	PUNCT
iajs-2615	414	54	0	0	NUM
iajs-2615	414	55	:	:	PUNCT
iajs-2615	414	56	r	r	NOUN
iajs-2615	414	57	tse	tse	X
iajs-2615	414	58	]	]	PUNCT
iajs-2615	414	59			NOUN
iajs-2615	414	60	[	[	PUNCT
iajs-2615	414	61	a	a	DET
iajs-2615	414	62	+	+	X
iajs-2615	414	63	soc	soc	NOUN
iajs-2615	414	64	(	(	PUNCT
iajs-2615	414	65	e	e	NOUN
iajs-2615	414	66	)	)	PUNCT
iajs-2615	414	67	:	:	PUNCT
iajs-2615	414	68	r	r	NOUN
iajs-2615	414	69	te	te	X
iajs-2615	414	70	]	]	PUNCT
iajs-2615	414	71			NOUN
iajs-2615	414	72	[	[	PUNCT
iajs-2615	414	73	a	a	DET
iajs-2615	414	74	+	+	X
iajs-2615	414	75	soc	soc	NOUN
iajs-2615	414	76	(	(	PUNCT
iajs-2615	414	77	e	e	NOUN
iajs-2615	414	78	)	)	PUNCT
iajs-2615	414	79	:	:	PUNCT
iajs-2615	414	80	r	r	NOUN
iajs-2615	414	81	se	se	X
iajs-2615	414	82	]	]	PUNCT
iajs-2615	414	83	.	.	PUNCT
iajs-2615	415	1			X
iajs-2615	415	2	a	a	DET
iajs-2615	415	3	proper	proper	ADJ
iajs-2615	415	4	submodule	submodule	NOUN
iajs-2615	415	5	n	n	PROPN
iajs-2615	415	6	of	of	ADP
iajs-2615	415	7	e	e	PROPN
iajs-2615	415	8	is	be	AUX
iajs-2615	415	9	a	a	DET
iajs-2615	415	10	wp2	wp2	NOUN
iajs-2615	415	11	–	–	PUNCT
iajs-2615	415	12	absorbing	absorb	VERB
iajs-2615	415	13	if	if	SCONJ
iajs-2615	415	14	and	and	CCONJ
iajs-2615	415	15	only	only	ADV
iajs-2615	415	16	if	if	SCONJ
iajs-2615	415	17	(	(	PUNCT
iajs-2615	415	18	0	0	X
iajs-2615	415	19	)	)	PUNCT
iajs-2615	415	20	≠	≠	PROPN
iajs-2615	415	21	ijl	ijl	NOUN
iajs-2615	415	22			NOUN
iajs-2615	415	23	n	n	CCONJ
iajs-2615	415	24	for	for	ADP
iajs-2615	415	25	some	some	DET
iajs-2615	415	26	ideal	ideal	NOUN
iajs-2615	415	27	i	i	PRON
iajs-2615	415	28	,	,	PUNCT
iajs-2615	415	29	j	j	PROPN
iajs-2615	415	30	of	of	ADP
iajs-2615	415	31	r	r	NOUN
iajs-2615	415	32	and	and	CCONJ
iajs-2615	415	33	submodule	submodule	PROPN
iajs-2615	415	34	l	l	NOUN
iajs-2615	415	35	of	of	ADP
iajs-2615	415	36	e	e	PROPN
iajs-2615	415	37	implies	imply	VERB
iajs-2615	415	38	that	that	SCONJ
iajs-2615	415	39	either	either	CCONJ
iajs-2615	415	40	il	il	PROPN
iajs-2615	415	41			PROPN
iajs-2615	415	42	n+	n+	PUNCT
iajs-2615	415	43	soc	soc	NOUN
iajs-2615	415	44	(	(	PUNCT
iajs-2615	415	45	e	e	NOUN
iajs-2615	415	46	)	)	PUNCT
iajs-2615	415	47	or	or	CCONJ
iajs-2615	415	48	jl	jl	PROPN
iajs-2615	415	49	n+	n+	PRON
iajs-2615	415	50	soc	soc	NOUN
iajs-2615	415	51	(	(	PUNCT
iajs-2615	415	52	e	e	NOUN
iajs-2615	415	53	)	)	PUNCT
iajs-2615	415	54	or	or	CCONJ
iajs-2615	415	55	ij	ij	INTJ
iajs-2615	415	56			PROPN
iajs-2615	415	57	[	[	PUNCT
iajs-2615	415	58	n+	n+	X
iajs-2615	415	59	soc	soc	NOUN
iajs-2615	415	60	(	(	PUNCT
iajs-2615	415	61	e	e	NOUN
iajs-2615	415	62	)	)	PUNCT
iajs-2615	415	63	:	:	PUNCT
iajs-2615	415	64	r	r	NOUN
iajs-2615	415	65	e	e	NOUN
iajs-2615	415	66	]	]	PUNCT
iajs-2615	415	67	.	.	PUNCT
iajs-2615	416	1			PROPN
iajs-2615	417	1	if	if	SCONJ
iajs-2615	417	2	a	a	PRON
iajs-2615	417	3	is	be	AUX
iajs-2615	417	4	a	a	DET
iajs-2615	417	5	wp2	wp2	NOUN
iajs-2615	417	6	–	–	PUNCT
iajs-2615	417	7	absorbing	absorb	VERB
iajs-2615	417	8	submodule	submodule	NOUN
iajs-2615	417	9	of	of	ADP
iajs-2615	417	10	e	e	PROPN
iajs-2615	417	11	with	with	ADP
iajs-2615	417	12	(	(	PUNCT
iajs-2615	417	13	r	r	NOUN
iajs-2615	417	14	,	,	PUNCT
iajs-2615	417	15	s	s	PART
iajs-2615	417	16	,	,	PUNCT
iajs-2615	417	17	e	e	NOUN
iajs-2615	417	18	)	)	PUNCT
iajs-2615	417	19	is	be	AUX
iajs-2615	417	20	a	a	DET
iajs-2615	417	21	wp	wp	NOUN
iajs-2615	417	22	–	–	PUNCT
iajs-2615	417	23	triple	triple	NOUN
iajs-2615	417	24	zero	zero	NUM
iajs-2615	417	25	of	of	ADP
iajs-2615	417	26	a	a	PRON
iajs-2615	417	27	for	for	ADP
iajs-2615	417	28	some	some	DET
iajs-2615	417	29	t	t	NOUN
iajs-2615	417	30	,	,	PUNCT
iajs-2615	417	31	s	s	PART
iajs-2615	417	32			PROPN
iajs-2615	417	33	r	r	NOUN
iajs-2615	417	34	,	,	PUNCT
iajs-2615	417	35	e	e	PROPN
iajs-2615	417	36			PROPN
iajs-2615	417	37	e.	e.	PROPN
iajs-2615	417	38	then	then	ADV
iajs-2615	417	39	,	,	PUNCT
iajs-2615	417	40	rsa	rsa	PROPN
iajs-2615	417	41	=	=	SYM
iajs-2615	417	42	(	(	PUNCT
iajs-2615	417	43	0	0	NUM
iajs-2615	417	44	)	)	PUNCT
iajs-2615	417	45	,	,	PUNCT
iajs-2615	418	1	[	[	PUNCT
iajs-2615	418	2	a	a	X
iajs-2615	418	3	:	:	PUNCT
iajs-2615	418	4	r	r	NOUN
iajs-2615	418	5	e	e	NOUN
iajs-2615	418	6	]	]	X
iajs-2615	418	7	re	re	X
iajs-2615	418	8	=	=	SYM
iajs-2615	418	9	(	(	PUNCT
iajs-2615	418	10	0	0	NUM
iajs-2615	418	11	)	)	PUNCT
iajs-2615	418	12	,	,	PUNCT
iajs-2615	418	13	r	r	X
iajs-2615	418	14	[	[	PUNCT
iajs-2615	418	15	a	a	X
iajs-2615	418	16	:	:	PUNCT
iajs-2615	418	17	r	r	NOUN
iajs-2615	418	18	e	e	NOUN
iajs-2615	418	19	]	]	X
iajs-2615	418	20	e	e	X
iajs-2615	418	21	=	=	SYM
iajs-2615	418	22	(	(	PUNCT
iajs-2615	418	23	0	0	NUM
iajs-2615	418	24	)	)	PUNCT
iajs-2615	418	25	,	,	PUNCT
iajs-2615	418	26	r	r	X
iajs-2615	418	27	[	[	PUNCT
iajs-2615	418	28	a	a	X
iajs-2615	418	29	:	:	PUNCT
iajs-2615	418	30	r	r	NOUN
iajs-2615	418	31	e	e	NOUN
iajs-2615	418	32	]	]	X
iajs-2615	418	33	a	a	X
iajs-2615	418	34	=	=	X
iajs-2615	418	35	(	(	PUNCT
iajs-2615	418	36	0	0	NUM
iajs-2615	418	37	)	)	PUNCT
iajs-2615	418	38	,	,	PUNCT
iajs-2615	418	39	[	[	PUNCT
iajs-2615	418	40	a	a	X
iajs-2615	418	41	:	:	PUNCT
iajs-2615	418	42	r	r	NOUN
iajs-2615	418	43	e	e	NOUN
iajs-2615	418	44	]	]	X
iajs-2615	418	45	sa	sa	X
iajs-2615	418	46	=	=	SYM
iajs-2615	418	47	(	(	PUNCT
iajs-2615	418	48	0	0	NUM
iajs-2615	418	49	)	)	PUNCT
iajs-2615	418	50	and	and	CCONJ
iajs-2615	418	51	[	[	PUNCT
iajs-2615	418	52	a	a	X
iajs-2615	418	53	:	:	PUNCT
iajs-2615	418	54	r	r	NOUN
iajs-2615	418	55	e	e	NOUN
iajs-2615	418	56	]	]	X
iajs-2615	418	57	[	[	PUNCT
iajs-2615	418	58	a	a	X
iajs-2615	418	59	:	:	PUNCT
iajs-2615	418	60	r	r	NOUN
iajs-2615	418	61	e	e	NOUN
iajs-2615	418	62	]	]	X
iajs-2615	418	63	a	a	X
iajs-2615	418	64	=	=	X
iajs-2615	418	65	(	(	PUNCT
iajs-2615	418	66	0	0	NUM
iajs-2615	418	67	)	)	PUNCT
iajs-2615	418	68	.	.	PUNCT
iajs-2615	419	1			X
iajs-2615	419	2	a	a	DET
iajs-2615	419	3	proper	proper	ADJ
iajs-2615	419	4	submodule	submodule	NOUN
iajs-2615	419	5	a	a	DET
iajs-2615	419	6	of	of	ADP
iajs-2615	419	7	multiplication	multiplication	NOUN
iajs-2615	419	8	module	module	NOUN
iajs-2615	419	9	e	e	NOUN
iajs-2615	419	10	is	be	AUX
iajs-2615	419	11	a	a	DET
iajs-2615	419	12	wp2	wp2	NOUN
iajs-2615	419	13	–	–	PUNCT
iajs-2615	419	14	absorbing	absorb	VERB
iajs-2615	419	15	if	if	SCONJ
iajs-2615	419	16	and	and	CCONJ
iajs-2615	419	17	only	only	ADV
iajs-2615	419	18	if	if	SCONJ
iajs-2615	419	19	(	(	PUNCT
iajs-2615	419	20	0	0	X
iajs-2615	419	21	)	)	PUNCT
iajs-2615	419	22	≠	≠	PROPN
iajs-2615	419	23	l1l2l3	l1l2l3	NOUN
iajs-2615	419	24			NOUN
iajs-2615	419	25	a	a	PRON
iajs-2615	419	26	for	for	ADP
iajs-2615	419	27	some	some	DET
iajs-2615	419	28	submodules	submodule	NOUN
iajs-2615	419	29	l1	l1	PROPN
iajs-2615	419	30	,	,	PUNCT
iajs-2615	419	31	l2	l2	NOUN
iajs-2615	419	32	,	,	PUNCT
iajs-2615	419	33	l3	l3	PROPN
iajs-2615	419	34	of	of	ADP
iajs-2615	419	35	e	e	PROPN
iajs-2615	419	36	implies	imply	VERB
iajs-2615	419	37	that	that	SCONJ
iajs-2615	419	38	either	either	CCONJ
iajs-2615	419	39	l1l3	l1l3	ADP
iajs-2615	419	40			PROPN
iajs-2615	419	41	a	a	DET
iajs-2615	419	42	+	+	X
iajs-2615	419	43	soc	soc	NOUN
iajs-2615	419	44	(	(	PUNCT
iajs-2615	419	45	e	e	NOUN
iajs-2615	419	46	)	)	PUNCT
iajs-2615	419	47	or	or	CCONJ
iajs-2615	419	48	l2l3	l2l3	X
iajs-2615	419	49			PROPN
iajs-2615	419	50	a	a	DET
iajs-2615	419	51	+	+	X
iajs-2615	419	52	soc	soc	NOUN
iajs-2615	419	53	(	(	PUNCT
iajs-2615	419	54	e	e	NOUN
iajs-2615	419	55	)	)	PUNCT
iajs-2615	419	56	or	or	CCONJ
iajs-2615	419	57	l1l2	l1l2	ADJ
iajs-2615	419	58			PROPN
iajs-2615	419	59	a	a	DET
iajs-2615	419	60	+	+	X
iajs-2615	419	61	soc	soc	NOUN
iajs-2615	419	62	(	(	PUNCT
iajs-2615	419	63	e	e	NOUN
iajs-2615	419	64	)	)	PUNCT
iajs-2615	419	65	.	.	PUNCT
iajs-2615	420	1	references	reference	NOUN
iajs-2615	420	2	1	1	X
iajs-2615	420	3	.	.	PUNCT
iajs-2615	420	4	be	be	AUX
iajs-2615	420	5	hboodi	hboodi	PROPN
iajs-2615	420	6	m.	m.	NOUN
iajs-2615	420	7	;	;	PUNCT
iajs-2615	420	8	koohy	koohy	PROPN
iajs-2615	420	9	h.	h.	PROPN
iajs-2615	420	10	weakly	weakly	ADJ
iajs-2615	420	11	prime	prime	ADJ
iajs-2615	420	12	modules	module	NOUN
iajs-2615	420	13	.vietnam	.vietnam	PUNCT
iajs-2615	420	14	j.	j.	PROPN
iajs-2615	420	15	math	math	PROPN
iajs-2615	420	16	.	.	PROPN
iajs-2615	420	17	,	,	PUNCT
iajs-2615	420	18	2004	2004	NUM
iajs-2615	420	19	,	,	PUNCT
iajs-2615	420	20	32,2,185	32,2,185	NUM
iajs-2615	420	21	–	–	PUNCT
iajs-2615	420	22	196	196	NUM
iajs-2615	420	23	.	.	X
iajs-2615	421	1	2	2	X
iajs-2615	421	2	.	.	X
iajs-2615	421	3	darani	darani	PROPN
iajs-2615	421	4	,	,	PUNCT
iajs-2615	421	5	a.y	a.y	PROPN
iajs-2615	421	6	.	.	PROPN
iajs-2615	421	7	;	;	PUNCT
iajs-2615	421	8	soheilniai	soheilniai	PROPN
iajs-2615	421	9	.	.	PUNCT
iajs-2615	422	1	f.	f.	PROPN
iajs-2615	422	2	2	2	PROPN
iajs-2615	422	3	–	–	PUNCT
iajs-2615	422	4	absorbing	absorbing	ADJ
iajs-2615	422	5	and	and	CCONJ
iajs-2615	422	6	weakly	weakly	ADJ
iajs-2615	422	7	–	–	PUNCT
iajs-2615	422	8	2	2	NUM
iajs-2615	422	9	–	–	PUNCT
iajs-2615	422	10	absorbing	absorb	VERB
iajs-2615	422	11	submodules	submodule	NOUN
iajs-2615	422	12	,	,	PUNCT
iajs-2615	422	13	tahi	tahi	PROPN
iajs-2615	422	14	journal	journal	PROPN
iajs-2615	422	15	math	math	PROPN
iajs-2615	422	16	,	,	PUNCT
iajs-2615	422	17	2011	2011	NUM
iajs-2615	422	18	,	,	PUNCT
iajs-2615	422	19	9	9	NUM
iajs-2615	422	20	,	,	PUNCT
iajs-2615	422	21	577	577	NUM
iajs-2615	422	22	–	–	PUNCT
iajs-2615	422	23	584	584	NUM
iajs-2615	422	24	.	.	X
iajs-2615	422	25	3	3	X
iajs-2615	422	26	.	.	X
iajs-2615	422	27	haibat	haibat	PROPN
iajs-2615	422	28	,	,	PUNCT
iajs-2615	422	29	k.m	k.m	PROPN
iajs-2615	422	30	.	.	PROPN
iajs-2615	422	31	;	;	PUNCT
iajs-2615	422	32	khalaf	khalaf	PROPN
iajs-2615	422	33	,	,	PUNCT
iajs-2615	422	34	h.	h.	PROPN
iajs-2615	422	35	a.	a.	NOUN
iajs-2615	422	36	weakly	weakly	ADV
iajs-2615	422	37	semi	semi	ADV
iajs-2615	422	38	–	–	PUNCT
iajs-2615	422	39	2	2	NUM
iajs-2615	422	40	–	–	PUNCT
iajs-2615	422	41	absorbing	absorb	VERB
iajs-2615	422	42	submodules	submodule	NOUN
iajs-2615	422	43	.	.	PUNCT
iajs-2615	423	1	journal	journal	PROPN
iajs-2615	423	2	of	of	ADP
iajs-2615	423	3	anbar	anbar	NOUN
iajs-2615	423	4	for	for	ADP
iajs-2615	423	5	pure	pure	ADJ
iajs-2615	423	6	science	science	NOUN
iajs-2615	423	7	,	,	PUNCT
iajs-2615	423	8	2018	2018	NUM
iajs-2615	423	9	,	,	PUNCT
iajs-2615	423	10	12	12	NUM
iajs-2615	423	11	,	,	PUNCT
iajs-2615	423	12	2	2	NUM
iajs-2615	423	13	,	,	PUNCT
iajs-2615	423	14	57	57	NUM
iajs-2615	423	15	–	–	SYM
iajs-2615	423	16	62	62	NUM
iajs-2615	423	17	.	.	PUNCT
iajs-2615	424	1	99	99	NUM
iajs-2615	424	2	ibn	ibn	PROPN
iajs-2615	424	3	al	al	PROPN
iajs-2615	424	4	-	-	PUNCT
iajs-2615	424	5	haitham	haitham	PROPN
iajs-2615	424	6	jour	jour	X
iajs-2615	424	7	.	.	PROPN
iajs-2615	424	8	for	for	ADP
iajs-2615	424	9	pure	pure	ADJ
iajs-2615	424	10	&	&	CCONJ
iajs-2615	424	11	appl	appl	PROPN
iajs-2615	424	12	.	.	PUNCT
iajs-2615	425	1	sci	sci	PROPN
iajs-2615	425	2	.	.	PROPN
iajs-2615	426	1	34	34	NUM
iajs-2615	426	2	(	(	PUNCT
iajs-2615	426	3	2	2	NUM
iajs-2615	426	4	)	)	PUNCT
iajs-2615	426	5	2021	2021	NUM
iajs-2615	426	6	4	4	NUM
iajs-2615	426	7	.	.	PUNCT
iajs-2615	427	1	wissam	wissam	PROPN
iajs-2615	427	2	,	,	PUNCT
iajs-2615	427	3	a.	a.	PROPN
iajs-2615	427	4	h.	h.	PROPN
iajs-2615	427	5	;	;	PUNCT
iajs-2615	427	6	haibat	haibat	PROPN
iajs-2615	427	7	,	,	PUNCT
iajs-2615	427	8	k.	k.	PROPN
iajs-2615	427	9	m.	m.	PROPN
iajs-2615	427	10	wn	wn	PROPN
iajs-2615	427	11	–	–	PUNCT
iajs-2615	427	12	2	2	NUM
iajs-2615	427	13	–	–	PUNCT
iajs-2615	427	14	absorbing	absorb	VERB
iajs-2615	427	15	submodules	submodule	NOUN
iajs-2615	427	16	and	and	CCONJ
iajs-2615	427	17	wns	wns	X
iajs-2615	427	18	–	–	PUNCT
iajs-2615	427	19	2	2	NUM
iajs-2615	427	20	–	–	PUNCT
iajs-2615	427	21	absorbing	absorb	VERB
iajs-2615	427	22	submodules	submodule	NOUN
iajs-2615	427	23	,	,	PUNCT
iajs-2615	427	24	ibn	ibn	PROPN
iajs-2615	427	25	al	al	PROPN
iajs-2615	427	26	–	–	PUNCT
iajs-2615	427	27	haitham	haitham	PROPN
iajs-2615	427	28	journal	journal	PROPN
iajs-2615	427	29	for	for	ADP
iajs-2615	427	30	pure	pure	ADJ
iajs-2615	427	31	and	and	CCONJ
iajs-2615	427	32	appl	appl	NOUN
iajs-2615	427	33	.	.	PUNCT
iajs-2615	428	1	sci	sci	PROPN
iajs-2615	428	2	.	.	PROPN
iajs-2615	428	3	2018	2018	NUM
iajs-2615	428	4	,	,	PUNCT
iajs-2615	428	5	31	31	NUM
iajs-2615	428	6	,	,	PUNCT
iajs-2615	428	7	3	3	NUM
iajs-2615	428	8	,	,	PUNCT
iajs-2615	428	9	118	118	NUM
iajs-2615	428	10	–	–	SYM
iajs-2615	428	11	125	125	NUM
iajs-2615	428	12	.	.	PUNCT
iajs-2615	428	13	5	5	X
iajs-2615	428	14	.	.	X
iajs-2615	428	15	haibat	haibat	PROPN
iajs-2615	428	16	,	,	PUNCT
iajs-2615	428	17	k.m	k.m	PROPN
iajs-2615	428	18	.	.	PROPN
iajs-2615	428	19	;	;	PUNCT
iajs-2615	428	20	khalaf	khalaf	PROPN
iajs-2615	428	21	,	,	PUNCT
iajs-2615	428	22	h.	h.	PROPN
iajs-2615	428	23	a.	a.	NOUN
iajs-2615	428	24	weakly	weakly	ADV
iajs-2615	428	25	quasi	quasi	NOUN
iajs-2615	428	26	–	–	PUNCT
iajs-2615	428	27	2	2	NUM
iajs-2615	428	28	–	–	PUNCT
iajs-2615	428	29	absorbing	absorb	VERB
iajs-2615	428	30	submodules	submodule	NOUN
iajs-2615	428	31	,	,	PUNCT
iajs-2615	428	32	tikrit	tikrit	NOUN
iajs-2615	428	33	journal	journal	NOUN
iajs-2615	428	34	or	or	CCONJ
iajs-2615	428	35	pure	pure	ADJ
iajs-2615	428	36	science	science	NOUN
iajs-2615	428	37	,	,	PUNCT
iajs-2615	428	38	2018	2018	NUM
iajs-2615	428	39	,	,	PUNCT
iajs-2615	428	40	13	13	NUM
iajs-2615	428	41	,	,	PUNCT
iajs-2615	428	42	7	7	NUM
iajs-2615	428	43	,	,	PUNCT
iajs-2615	428	44	101	101	NUM
iajs-2615	428	45	–	–	PUNCT
iajs-2615	428	46	104	104	NUM
iajs-2615	428	47	.	.	PUNCT
iajs-2615	429	1	6	6	X
iajs-2615	429	2	.	.	X
iajs-2615	429	3	goodearl	goodearl	PROPN
iajs-2615	429	4	,	,	PUNCT
iajs-2615	429	5	k.	k.	PROPN
iajs-2615	429	6	r.	r.	PROPN
iajs-2615	429	7	ring	ring	PROPN
iajs-2615	429	8	theory	theory	PROPN
iajs-2615	429	9	,	,	PUNCT
iajs-2615	429	10	marcel	marcel	PROPN
iajs-2615	429	11	dekker	dekker	PROPN
iajs-2615	429	12	,	,	PUNCT
iajs-2615	429	13	inc	inc	PROPN
iajs-2615	429	14	.	.	PROPN
iajs-2615	429	15	new	new	PROPN
iajs-2615	429	16	york	york	PROPN
iajs-2615	429	17	,	,	PUNCT
iajs-2615	429	18	1976	1976	NUM
iajs-2615	429	19	.	.	PUNCT
iajs-2615	430	1	7	7	X
iajs-2615	430	2	.	.	X
iajs-2615	430	3	khalaf	khalaf	PROPN
iajs-2615	430	4	,	,	PUNCT
iajs-2615	430	5	h.	h.	PROPN
iajs-2615	430	6	a.	a.	NOUN
iajs-2615	431	1	some	some	DET
iajs-2615	431	2	generalizations	generalization	NOUN
iajs-2615	431	3	of	of	ADP
iajs-2615	431	4	2	2	NUM
iajs-2615	431	5	–	–	PUNCT
iajs-2615	431	6	absorbing	absorb	VERB
iajs-2615	431	7	submodules	submodule	NOUN
iajs-2615	431	8	,	,	PUNCT
iajs-2615	431	9	m.	m.	NOUN
iajs-2615	431	10	sc.thesis	sc.thesis	NOUN
iajs-2615	431	11	,	,	PUNCT
iajs-2615	431	12	universiy	universiy	NOUN
iajs-2615	431	13	of	of	ADP
iajs-2615	431	14	tikrit	tikrit	NOUN
iajs-2615	431	15	,	,	PUNCT
iajs-2615	431	16	2018	2018	NUM
iajs-2615	431	17	.	.	PUNCT
iajs-2615	432	1	8	8	X
iajs-2615	432	2	.	.	X
iajs-2615	433	1	kash	kash	PROPN
iajs-2615	433	2	,	,	PUNCT
iajs-2615	433	3	f.modules	f.module	NOUN
iajs-2615	433	4	and	and	CCONJ
iajs-2615	433	5	rings	ring	NOUN
iajs-2615	433	6	,	,	PUNCT
iajs-2615	433	7	london	london	PROPN
iajs-2615	433	8	math	math	PROPN
iajs-2615	433	9	.	.	PUNCT
iajs-2615	434	1	soc	soc	PROPN
iajs-2615	434	2	.	.	PUNCT
iajs-2615	435	1	monographs	monographs	PROPN
iajs-2615	435	2	new	new	PROPN
iajs-2615	435	3	york	york	PROPN
iajs-2615	435	4	,	,	PUNCT
iajs-2615	435	5	academic	academic	ADJ
iajs-2615	435	6	press	press	NOUN
iajs-2615	435	7	1982	1982	NUM
iajs-2615	435	8	.	.	PUNCT
iajs-2615	436	1	9	9	X
iajs-2615	436	2	.	.	X
iajs-2615	436	3	sharpe	sharpe	PROPN
iajs-2615	436	4	,	,	PUNCT
iajs-2615	436	5	d.	d.	PROPN
iajs-2615	436	6	w.	w.	PROPN
iajs-2615	436	7	;	;	PUNCT
iajs-2615	436	8	vomos	vomos	PROPN
iajs-2615	436	9	,	,	PUNCT
iajs-2615	436	10	p.	p.	NOUN
iajs-2615	436	11	injective	injective	ADJ
iajs-2615	436	12	modules	module	NOUN
iajs-2615	436	13	,	,	PUNCT
iajs-2615	436	14	cambridge	cambridge	PROPN
iajs-2615	436	15	university	university	PROPN
iajs-2615	436	16	,	,	PUNCT
iajs-2615	436	17	press	press	NOUN
iajs-2615	436	18	,	,	PUNCT
iajs-2615	436	19	1972	1972	NUM
iajs-2615	436	20	.	.	PUNCT
iajs-2615	437	1	10	10	NUM
iajs-2615	437	2	.	.	X
iajs-2615	438	1	barnard	barnard	PROPN
iajs-2615	438	2	,	,	PUNCT
iajs-2615	438	3	a.	a.	NOUN
iajs-2615	438	4	multiplication	multiplication	NOUN
iajs-2615	438	5	,	,	PUNCT
iajs-2615	438	6	journal	journal	NOUN
iajs-2615	438	7	of	of	ADP
iajs-2615	438	8	alscbra	alscbra	PROPN
iajs-2615	438	9	,	,	PUNCT
iajs-2615	438	10	1981	1981	NUM
iajs-2615	438	11	,	,	PUNCT
iajs-2615	438	12	7	7	NUM
iajs-2615	438	13	,	,	PUNCT
iajs-2615	438	14	174	174	NUM
iajs-2615	438	15	–	–	SYM
iajs-2615	438	16	178	178	NUM
iajs-2615	438	17	.	.	PUNCT
iajs-2615	439	1	11	11	NUM
iajs-2615	439	2	.	.	X
iajs-2615	440	1	el	el	PROPN
iajs-2615	440	2	–	–	PUNCT
iajs-2615	440	3	bast	bast	NOUN
iajs-2615	440	4	,	,	PUNCT
iajs-2615	440	5	z.	z.	PROPN
iajs-2615	440	6	a.;smith	a.;smith	PROPN
iajs-2615	440	7	,	,	PUNCT
iajs-2615	440	8	p.	p.	NOUN
iajs-2615	440	9	f.	f.	PROPN
iajs-2615	440	10	multiplication	multiplication	PROPN
iajs-2615	440	11	modules	module	NOUN
iajs-2615	440	12	,	,	PUNCT
iajs-2615	440	13	comm	comm	NOUN
iajs-2615	440	14	.	.	PUNCT
iajs-2615	441	1	in	in	ADP
iajs-2615	441	2	algebra,1988	algebra,1988	PROPN
iajs-2615	441	3	,	,	PUNCT
iajs-2615	441	4	16,4,755	16,4,755	NUM
iajs-2615	441	5	–	–	PUNCT
iajs-2615	441	6	779	779	NUM
iajs-2615	441	7	.	.	NOUN
iajs-2615	441	8	12	12	NUM
iajs-2615	441	9	.	.	PUNCT
iajs-2615	442	1	smith	smith	PROPN
iajs-2615	442	2	p.	p.	PROPN
iajs-2615	442	3	f.	f.	PROPN
iajs-2615	443	1	some	some	DET
iajs-2615	443	2	remarks	remark	NOUN
iajs-2615	443	3	of	of	ADP
iajs-2615	443	4	multiplication	multiplication	NOUN
iajs-2615	443	5	modules	module	NOUN
iajs-2615	443	6	,	,	PUNCT
iajs-2615	443	7	arch	arch	NOUN
iajs-2615	443	8	.	.	PUNCT
iajs-2615	444	1	math	math	NOUN
iajs-2615	444	2	,	,	PUNCT
iajs-2615	444	3	1988	1988	NUM
iajs-2615	444	4	,	,	PUNCT
iajs-2615	444	5	50	50	NUM
iajs-2615	444	6	,	,	PUNCT
iajs-2615	444	7	233	233	NUM
iajs-2615	444	8	–	–	SYM
iajs-2615	444	9	235	235	NUM
iajs-2615	444	10	.	.	PUNCT