ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  simp3l3 Unicode version

Theorem simp3l3 1071
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp3l3  |-  ( ( ta  /\  et  /\  ( ( ph  /\  ps  /\  ch )  /\  th ) )  ->  ch )

Proof of Theorem simp3l3
StepHypRef Expression
1 simpl3 969 . 2  |-  ( ( ( ph  /\  ps  /\ 
ch )  /\  th )  ->  ch )
213ad2ant3 987 1  |-  ( ( ta  /\  et  /\  ( ( ph  /\  ps  /\  ch )  /\  th ) )  ->  ch )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 103    /\ w3a 945
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107
This theorem depends on definitions:  df-bi 116  df-3an 947
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator