Theorem bm1.1OLD 2441

Description: Obsolete proof of bm1.1 2440 as of 12-Nov-2019. (Contributed by NM, 30-Jun-1994.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypothesis

Ref	Expression
bm1.1.1

Assertion

Ref	Expression
bm1.1OLD

Distinct variable group:   ,

Proof of Theorem bm1.1OLD

Dummy variable is distinct from all other variables.

Step	Hyp	Ref	Expression
1		nfv 1707	. . . . . . . 8
2		bm1.1.1	. . . . . . . 8
3	1, 2	nfbi 1934	. . . . . . 7
4	3	nfal 1947	. . . . . 6
5		elequ2 1823	. . . . . . . 8
6	5	bibi1d 319	. . . . . . 7
7	6	albidv 1713	. . . . . 6
8	4, 7	sbie 2149	. . . . 5
9		19.26 1680	. . . . . 6
10		biantr 931	. . . . . . . 8
11	10	alimi 1633	. . . . . . 7
12		ax-ext 2435	. . . . . . 7
13	11, 12	syl 16	. . . . . 6
14	9, 13	sylbir 213	. . . . 5
15	8, 14	sylan2b 475	. . . 4
16	15	gen2 1619	. . 3
17	16	jctr 542	. 2
18		nfv 1707	. . 3
19	18	eu2 2326	. 2
20	17, 19	sylibr 212	1

Syntax hints:  ->wi 4  <->wb 184  /\wa 369  A.wal 1393  E.wex 1612  F/wnf 1616  [wsb 1739  E!weu 2282

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-9 1822  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-ext 2435

This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-eu 2286  df-mo 2287