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Theorem nemtbir 2604
Description: An inference from an inequality, related to modus tollens. (Contributed by NM, 13-Apr-2007.)
Hypotheses
Ref Expression
nemtbir.1
nemtbir.2
Assertion
Ref Expression
nemtbir

Proof of Theorem nemtbir
StepHypRef Expression
1 nemtbir.1 . . 3
2 df-ne 2518 . . 3
31, 2mpbi 199 . 2
4 nemtbir.2 . 2
53, 4mtbir 290 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   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:  ncvsq  6256
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