Theorem mo2vOLDOLD 2291

Description: Obsolete proof of mo2v 2289 as of 24-Aug-2019. (Contributed by Wolf Lammen, 27-May-2019.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
mo2vOLDOLD

Distinct variable groups:   ,   ,

Proof of Theorem mo2vOLDOLD

Step	Hyp	Ref	Expression
1		df-mo 2287	. 2
2		df-eu 2286	. . 3
3	2	imbi2i 312	. 2
4		alnex 1614	. . . . . 6
5		pm2.21 108	. . . . . . 7
6	5	alimi 1633	. . . . . 6
7	4, 6	sylbir 213	. . . . 5
8		19.8a 1857	. . . . 5
9	7, 8	syl 16	. . . 4
10		bi1 186	. . . . . 6
11	10	alimi 1633	. . . . 5
12	11	eximi 1656	. . . 4
13	9, 12	ja 161	. . 3
14		nfia1 1954	. . . . . . . 8
15		id 22	. . . . . . . . . 10
16		ax-5 1704	. . . . . . . . . . 11
17		ax-12 1854	. . . . . . . . . . 11
18	16, 17	syl5com 30	. . . . . . . . . 10
19	15, 18	embantd 54	. . . . . . . . 9
20	19	spsd 1867	. . . . . . . 8
21	14, 20	exlimi 1912	. . . . . . 7
22	21	ancld 553	. . . . . 6
23		albiim 1699	. . . . . 6
24	22, 23	syl6ibr 227	. . . . 5
25	24	eximdv 1710	. . . 4
26	25	com12 31	. . 3
27	13, 26	impbii 188	. 2
28	1, 3, 27	3bitri 271	1

Syntax hints:  -.wn 3  ->wi 4  <->wb 184  /\wa 369  A.wal 1393  E.wex 1612  E!weu 2282  E*wmo 2283

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-10 1837  ax-12 1854

This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-nf 1617  df-eu 2286  df-mo 2287