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Theorem neli 2293
Description: Inference associated with df-nel 2204. (Contributed by BJ, 7-Jul-2018.)
Hypothesis
Ref Expression
neli.1 AB
Assertion
Ref Expression
neli ¬ A B

Proof of Theorem neli
StepHypRef Expression
1 neli.1 . 2 AB
2 df-nel 2204 . 2 (AB ↔ ¬ A B)
31, 2mpbi 133 1 ¬ A B
Colors of variables: wff set class
Syntax hints:  ¬ wn 3   wcel 1390  wnel 2202
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99
This theorem depends on definitions:  df-bi 110  df-nel 2204
This theorem is referenced by:  renepnf  6870  renemnf  6871  xrltnr  8471  pnfnlt  8478  nltmnf  8479
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