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Theorem com5l 92
Description: Commutation of antecedents. Rotate left. (Contributed by Jeff Hankins, 28-Jun-2009.) (Proof shortened by Wolf Lammen, 29-Jul-2012.)
Hypothesis
Ref Expression
com5.1 |- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) )
Assertion
Ref Expression
com5l |- ( ps -> ( ch -> ( th -> ( ta -> ( ph -> et ) ) ) ) )
Proof of Theorem com5l
StepHypRef Expression
1 com5.1 . . 3 |- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) )
21com4l 84 . 2 |- ( ps -> ( ch -> ( th -> ( ph -> ( ta -> et ) ) ) ) )
32com45 89 1 |- ( ps -> ( ch -> ( th -> ( ta -> ( ph -> et ) ) ) ) )
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:  com15  93  com52l  94  com52r  95
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