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Theorem com4l 78
Description: Commutation of antecedents. Rotate left. (Contributed by NM, 25-Apr-1994.) (Proof shortened by O'Cat, 15-Aug-2004.)
Hypothesis
Ref Expression
com4.1 |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )
Assertion
Ref Expression
com4l |- ( ps -> ( ch -> ( th -> ( ph -> ta ) ) ) )
Proof of Theorem com4l
StepHypRef Expression
1 com4.1 . . 3 |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )
21com3l 75 . 2 |- ( ps -> ( ch -> ( ph -> ( th -> ta ) ) ) )
32com34 77 1 |- ( ps -> ( ch -> ( th -> ( ph -> 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:  com4t  79  com4r  80  com14  82  com5l  86  3impd  1118
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