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Theorem nemtbir 2785
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
21neii 2656 . 2
3 nemtbir.2 . 2
42, 3mtbir 299 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  <->wb 184  =wceq 1395  =/=wne 2652
This theorem is referenced by:  opthwiener  4754  opthprc  5052  snnen2o  7726  cfpwsdom  8980  pmtrsn  16544  gzrngunitlem  18482  ex-id  25155  sltval2  29416  sltsolem1  29428  etransc  32066
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 185  df-ne 2654
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