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Theorem com3r 78
Description: Commutation of antecedents. Rotate right. (Contributed by NM, 25-Apr-1994.)
Hypothesis
Ref Expression
com3.1  |-  ( ph  ->  ( ps  ->  ( ch  ->  th ) ) )
Assertion
Ref Expression
com3r  |-  ( ch 
->  ( ph  ->  ( ps  ->  th ) ) )

Proof of Theorem com3r
StepHypRef Expression
1 com3.1 . . 3  |-  ( ph  ->  ( ps  ->  ( ch  ->  th ) ) )
21com23 77 . 2  |-  ( ph  ->  ( ch  ->  ( ps  ->  th ) ) )
32com12 30 1  |-  ( ch 
->  ( ph  ->  ( ps  ->  th ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7
This theorem is referenced by:  com13  79  com3l  80  com14  87  expd  254  moexexdc  2032  euexex  2033  mob  2795  issref  4801  relresfld  4947  poxp  5979  nndi  6229  nnmass  6230  pr2ne  6799  distrlem5prl  7124  distrlem5pru  7125  lbreu  8378  flqeqceilz  9690  divconjdvds  10932  ialgcvga  11115  ialgfx  11116
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