Theorem nelneq2 2575

Description: A way of showing two classes are not equal. (Contributed by NM, 12-Jan-2002.)

Assertion

Ref	Expression
nelneq2

Proof of Theorem nelneq2

Step	Hyp	Ref	Expression
1		eleq2 2530	. . 3
2	1	biimpcd 224	. 2
3	2	con3dimp 441	1

Syntax hints:  -.wn 3  ->wi 4  /\wa 369  =wceq 1395  e.wcel 1818

This theorem is referenced by:  ssnelpss  3890  opthwiener  4754  ssfin4  8711  pwxpndom2  9064  fzneuz  11788  hauspwpwf1  20488  vdgr1b  24904

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-ext 2435

This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-cleq 2449  df-clel 2452