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Theorem com4r 85
Description: Commutation of antecedents. Rotate right. (Contributed by NM, 25-Apr-1994.)
Hypothesis
Ref Expression
com4.1  |-  ( ph  ->  ( ps  ->  ( ch  ->  ( th  ->  ta ) ) ) )
Assertion
Ref Expression
com4r  |-  ( th 
->  ( ph  ->  ( ps  ->  ( ch  ->  ta ) ) ) )

Proof of Theorem com4r
StepHypRef Expression
1 com4.1 . . 3  |-  ( ph  ->  ( ps  ->  ( ch  ->  ( th  ->  ta ) ) ) )
21com4t 84 . 2  |-  ( ch 
->  ( th  ->  ( ph  ->  ( ps  ->  ta ) ) ) )
32com4l 83 1  |-  ( th 
->  ( ph  ->  ( ps  ->  ( ch  ->  ta ) ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7
This theorem is referenced by:  com15  92  3expd  1156  tfrlem9  5968  nndi  6130  mulcanpig  6587
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