ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  simprl3 Unicode version

Theorem simprl3 986
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simprl3  |-  ( ( ta  /\  ( (
ph  /\  ps  /\  ch )  /\  th ) )  ->  ch )

Proof of Theorem simprl3
StepHypRef Expression
1 simpl3 944 . 2  |-  ( ( ( ph  /\  ps  /\ 
ch )  /\  th )  ->  ch )
21adantl 271 1  |-  ( ( ta  /\  ( (
ph  /\  ps  /\  ch )  /\  th ) )  ->  ch )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 102    /\ w3a 920
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106
This theorem depends on definitions:  df-bi 115  df-3an 922
This theorem is referenced by:  prarloc  6807  icodiamlt  10267
  Copyright terms: Public domain W3C validator