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Theorem conax1k 644
Description: Weakening of conax1 643. General instance of pm2.51 645 and of pm2.52 646. (Contributed by BJ, 28-Oct-2023.)
Assertion
Ref Expression
conax1k  |-  ( -.  ( ph  ->  ps )  ->  ( ch  ->  -. 
ps ) )

Proof of Theorem conax1k
StepHypRef Expression
1 conax1 643 . 2  |-  ( -.  ( ph  ->  ps )  ->  -.  ps )
21a1d 22 1  |-  ( -.  ( ph  ->  ps )  ->  ( ch  ->  -. 
ps ) )
Colors of variables: wff set class
Syntax hints:   -. wn 3    -> wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-in1 604  ax-in2 605
This theorem is referenced by:  pm2.51  645  pm2.52  646
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