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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  2164  euexex  2165  mob  2988  issref  5119  relresfld  5266  poxp  6397  nndi  6654  nnmass  6655  pr2ne  7397  distrlem5prl  7806  distrlem5pru  7807  lbreu  9125  flqeqceilz  10581  divconjdvds  12428  algcvga  12641  algfx  12642  lmodfopnelem1  14357  fiinopn  14747  wlk1walkdom  16229  depindlem3  16378
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