ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  com52r Unicode version
Theorem com52r 95
Description: Commutation of antecedents. Rotate right twice. (Contributed by Jeff Hankins, 28-Jun-2009.)
Hypothesis
Ref Expression
com5.1 |- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) )
Assertion
Ref Expression
com52r |- ( th -> ( ta -> ( ph -> ( ps -> ( ch -> et ) ) ) ) )
Proof of Theorem com52r
StepHypRef Expression
1 com5.1 . . 3 |- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) )
21com52l 94 . 2 |- ( ch -> ( th -> ( ta -> ( ph -> ( ps -> et ) ) ) ) )
32com5l 92 1 |- ( th -> ( ta -> ( ph -> ( ps -> ( ch -> 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: (None)
  Copyright terms: Public domain W3C validator