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Theorem simp3rr 1056
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp3rr  |-  ( ( th  /\  ta  /\  ( ch  /\  ( ph  /\  ps ) ) )  ->  ps )

Proof of Theorem simp3rr
StepHypRef Expression
1 simprr 522 . 2  |-  ( ( ch  /\  ( ph  /\ 
ps ) )  ->  ps )
213ad2ant3 1005 1  |-  ( ( th  /\  ta  /\  ( ch  /\  ( ph  /\  ps ) ) )  ->  ps )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 103    /\ w3a 963
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 965
This theorem is referenced by:  prarloc  7334  tgqioo  12753
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