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Theorem syl5eqner 2230
Description: B chained equality inference for inequality. (Contributed by NM, 6-Jun-2012.)
Hypotheses
Ref Expression
syl5eqner.1
syl5eqner.2  =/=  C
Assertion
Ref Expression
syl5eqner  =/=  C

Proof of Theorem syl5eqner
StepHypRef Expression
1 syl5eqner.2 . 2  =/=  C
2 syl5eqner.1 . . 3
32neeq1i 2215 . 2  =/=  C  =/=  C
41, 3sylib 127 1  =/=  C
Colors of variables: wff set class
Syntax hints:   wi 4   wceq 1242    =/= wne 2201
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-in1 544  ax-in2 545  ax-5 1333  ax-gen 1335  ax-4 1397  ax-17 1416  ax-ext 2019
This theorem depends on definitions:  df-bi 110  df-cleq 2030  df-ne 2203
This theorem is referenced by: (None)
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