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Theorem com4r 86
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 85 . 2  |-  ( ch 
->  ( th  ->  ( ph  ->  ( ps  ->  ta ) ) ) )
32com4l 84 1  |-  ( th 
->  ( ph  ->  ( ps  ->  ( ch  ->  ta ) ) ) )
Colors of variables:    wff set class
This proof depends on syntax axioms:    -> wi 4
This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7
This theorem is used by:  com15  93  3expd  1255  tfrlem9  6590  nndi  6759  fiintim  7238  mulcanpig  7702  mulgnnass  13960  fiinopn  15105
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