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Theorem exmidne 2522
Description: Excluded middle with equality and inequality. (Contributed by NM, 3-Feb-2012.)
Assertion
Ref Expression
exmidne

Proof of Theorem exmidne
StepHypRef Expression
1 exmid 404 . 2
2 df-ne 2518 . . 3
32orbi2i 505 . 2
41, 3mpbir 200 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   wo 357   wceq 1642   wne 2516
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 177  df-or 359  df-ne 2518
This theorem is referenced by: (None)
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