ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  com4r Unicode version
Theorem com4r 86
Description: Commutation of antecedents. Rotate right. (Contributed by NM, 25-Apr-1994.)
Hypothesis
Ref Expression
com4.1 |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )
Assertion
Ref Expression
com4r |- ( th -> ( ph -> ( ps -> ( ch -> ta ) ) ) )
Proof of Theorem com4r
StepHypRef Expression
1 com4.1 . . 3 |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )
21com4t 85 . 2 |- ( ch -> ( th -> ( ph -> ( ps -> ta ) ) ) )
32com4l 84 1 |- ( th -> ( ph -> ( ps -> ( ch -> ta ) ) ) )
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  3expd  1214  tfrlem9  6287  nndi  6454  fiintim  6894  mulcanpig  7276  fiinopn  12642
  Copyright terms: Public domain W3C validator