Theorem a2andOLD 812

Description: Obsolete proof of a2and 811 as of 19-Jan-2020. (Contributed by AV, 25-Oct-2019.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypotheses

Ref	Expression
a2and.1
a2and.2

Assertion

Ref	Expression
a2andOLD

Proof of Theorem a2andOLD

Step	Hyp	Ref	Expression
1		a2and.2	. 2
2		a2and.1	. 2
3		pm2.27 39	. . . 4
4		pm2.27 39	. . . . . 6
5		pm2.27 39	. . . . . . . . 9
6	5	adantlr 714	. . . . . . . 8
7		pm2.27 39	. . . . . . . 8
8	6, 7	syl6 33	. . . . . . 7
9	8	ex 434	. . . . . 6
10	4, 9	syld 44	. . . . 5
11	10	com24 87	. . . 4
12	3, 11	syld 44	. . 3
13	12	com14 88	. 2
14	1, 2, 13	sylc 60	1

Syntax hints:  ->wi 4  /\wa 369

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 185  df-an 371