ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  simp11r Unicode version

Theorem simp11r 1104
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp11r  |-  ( ( ( ( ph  /\  ps )  /\  ch  /\  th )  /\  ta  /\  et )  ->  ps )

Proof of Theorem simp11r
StepHypRef Expression
1 simp1r 1017 . 2  |-  ( ( ( ph  /\  ps )  /\  ch  /\  th )  ->  ps )
213ad2ant1 1013 1  |-  ( ( ( ( ph  /\  ps )  /\  ch  /\  th )  /\  ta  /\  et )  ->  ps )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 103    /\ w3a 973
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 975
This theorem is referenced by:  pceu  12242
  Copyright terms: Public domain W3C validator