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Theorem neirr 2521
Description: No class is unequal to itself. (Contributed by Stefan O'Rear, 1-Jan-2015.)
Assertion
Ref Expression
neirr ¬ AA

Proof of Theorem neirr
StepHypRef Expression
1 eqid 2353 . 2 A = A
2 nne 2520 . 2 AAA = A)
31, 2mpbir 200 1 ¬ AA
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3   = wceq 1642  wne 2516
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-cleq 2346  df-ne 2518
This theorem is referenced by:  neldifsn  3841  ltcirr  6272
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