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Theorem neir 2657
Description: Inference associated with df-ne 2654. (Contributed by BJ, 7-Jul-2018.)
Hypothesis
Ref Expression
neir.1
Assertion
Ref Expression
neir

Proof of Theorem neir
StepHypRef Expression
1 neir.1 . 2
2 df-ne 2654 . 2
31, 2mpbir 209 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  =wceq 1395  =/=wne 2652
This theorem is referenced by:  nesymir  2732  nsuceq0  4963  ax1ne0  9558  ine0  10017  nnunb  10816  nosgnn0i  29419  bj-pinftynminfty  34630
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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