ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  simp3rl Unicode version

Theorem simp3rl 977
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp3rl  |-  ( ( th  /\  ta  /\  ( ch  /\  ( ph  /\  ps ) ) )  ->  ph )

Proof of Theorem simp3rl
StepHypRef Expression
1 simprl 483 . 2  |-  ( ( ch  /\  ( ph  /\ 
ps ) )  ->  ph )
213ad2ant3 927 1  |-  ( ( th  /\  ta  /\  ( ch  /\  ( ph  /\  ps ) ) )  ->  ph )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 97    /\ w3a 885
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 887
This theorem is referenced by:  prarloc  6601
  Copyright terms: Public domain W3C validator