ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  3anrot Unicode version

Theorem 3anrot 889
Description: Rotation law for triple conjunction. (Contributed by NM, 8-Apr-1994.)
Assertion
Ref Expression
3anrot

Proof of Theorem 3anrot
StepHypRef Expression
1 ancom 253 . 2
2 3anass 888 . 2
3 df-3an 886 . 2
41, 2, 33bitr4i 201 1
Colors of variables: wff set class
Syntax hints:   wa 97   wb 98   w3a 884
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101
This theorem depends on definitions:  df-bi 110  df-3an 886
This theorem is referenced by:  3ancomb  892  3anrev  894  3simpc  902  caovlem2d  5635  nnmcan  6028
  Copyright terms: Public domain W3C validator