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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  2162  euexex  2163  mob  2985  issref  5111  relresfld  5258  poxp  6384  nndi  6640  nnmass  6641  pr2ne  7376  distrlem5prl  7784  distrlem5pru  7785  lbreu  9103  flqeqceilz  10552  divconjdvds  12376  algcvga  12589  algfx  12590  lmodfopnelem1  14304  fiinopn  14694  wlk1walkdom  16105
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