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Theorem com4t 84
Description: Commutation of antecedents. Rotate twice. (Contributed by NM, 25-Apr-1994.)
Hypothesis
Ref Expression
com4.1 |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )
Assertion
Ref Expression
com4t |- ( ch -> ( th -> ( ph -> ( ps -> ta ) ) ) )
Proof of Theorem com4t
StepHypRef Expression
1 com4.1 . . 3 |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )
21com4l 83 . 2 |- ( ps -> ( ch -> ( th -> ( ph -> ta ) ) ) )
32com4l 83 1 |- ( ch -> ( th -> ( ph -> ( ps -> 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:  com4r  85  com24  86  mopick  2019  tfri3  5976
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