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Theorem pm2.24d 562
Description: Deduction version of pm2.24 561. (Contributed by NM, 30-Jan-2006.) (Revised by Mario Carneiro, 31-Jan-2015.)
Hypothesis
Ref Expression
pm2.24d.1  |-  ( ph  ->  ps )
Assertion
Ref Expression
pm2.24d  |-  ( ph  ->  ( -.  ps  ->  ch ) )

Proof of Theorem pm2.24d
StepHypRef Expression
1 pm2.24d.1 . 2  |-  ( ph  ->  ps )
2 pm2.24 561 . 2  |-  ( ps 
->  ( -.  ps  ->  ch ) )
31, 2syl 14 1  |-  ( ph  ->  ( -.  ps  ->  ch ) )
Colors of variables: wff set class
Syntax hints:   -. wn 3    -> wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-in2 555
This theorem is referenced by:  pm2.52  592  pm2.5dc  774  reldmtpos  5899  nn0o1gt2  10217
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