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Theorem necon3bid 2551
Description: Deduction from equality to inequality. (Contributed by NM, 23-Feb-2005.) (Proof shortened by Andrew Salmon, 25-May-2011.)
Hypothesis
Ref Expression
necon3bid.1
Assertion
Ref Expression
necon3bid

Proof of Theorem necon3bid
StepHypRef Expression
1 df-ne 2518 . 2
2 necon3bid.1 . . 3
32necon3bbid 2550 . 2
41, 3syl5bb 248 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   wi 4   wb 176   wceq 1642   wne 2516
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-ne 2518
This theorem is referenced by:  nebi  2587  nchoicelem17  6305
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