Theorem pm2.61neOLD 2773

Description: Obsolete proof of pm2.61ne 2772 as of 25-Nov-2019. (Contributed by NM, 24-May-2006.) (Proof shortened by Andrew Salmon, 25-May-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypotheses

Ref	Expression
pm2.61ne.1
pm2.61ne.2
pm2.61ne.3

Assertion

Ref	Expression
pm2.61neOLD

Proof of Theorem pm2.61neOLD

Step	Hyp	Ref	Expression
1		pm2.61ne.2	. . 3
2	1	expcom 435	. 2
3		nne 2658	. . 3
4		pm2.61ne.3	. . . 4
5		pm2.61ne.1	. . . 4
6	4, 5	syl5ibr 221	. . 3
7	3, 6	sylbi 195	. 2
8	2, 7	pm2.61i 164	1

Syntax hints:  -.wn 3  ->wi 4  <->wb 184  /\wa 369  =wceq 1395  =/=wne 2652

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  df-ne 2654