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Theorem com52l 94
Description: Commutation of antecedents. Rotate left twice. (Contributed by Jeff Hankins, 28-Jun-2009.)
Hypothesis
Ref Expression
com5.1 |- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) )
Assertion
Ref Expression
com52l |- ( ch -> ( th -> ( ta -> ( ph -> ( ps -> et ) ) ) ) )
Proof of Theorem com52l
StepHypRef Expression
1 com5.1 . . 3 |- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) )
21com5l 92 . 2 |- ( ps -> ( ch -> ( th -> ( ta -> ( ph -> et ) ) ) ) )
32com5l 92 1 |- ( ch -> ( th -> ( ta -> ( ph -> ( ps -> 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:  com52r  95  com5r  96
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