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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  2171  euexex  2172  mob  3008  issref  5165  relresfld  5312  poxp  6458  nndi  6749  nnmass  6750  pr2ne  7528  distrlem5prl  7943  distrlem5pru  7944  lbreu  9265  flqeqceilz  10733  divconjdvds  12594  algcvga  12807  algfx  12808  lmodfopnelem1  14633  fiinopn  15028  wlk1walkdom  16514  depindlem3  16663
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