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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  2989  issref  5126  relresfld  5273  poxp  6406  nndi  6697  nnmass  6698  pr2ne  7457  distrlem5prl  7866  distrlem5pru  7867  lbreu  9184  flqeqceilz  10643  divconjdvds  12490  algcvga  12703  algfx  12704  lmodfopnelem1  14420  fiinopn  14815  wlk1walkdom  16300  depindlem3  16449
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