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Theorem com3r 79
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 78 . 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-mp 5  ax-1 6  ax-2 7
This theorem is referenced by:  com13  80  com3l  81  com14  88  expd  258  moexexdc  2129  euexex  2130  mob  2946  issref  5053  relresfld  5200  poxp  6299  nndi  6553  nnmass  6554  pr2ne  7273  distrlem5prl  7672  distrlem5pru  7673  lbreu  8991  flqeqceilz  10429  divconjdvds  12033  algcvga  12246  algfx  12247  lmodfopnelem1  13958  fiinopn  14348
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