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Theorem bnj643 29567
Description:  /\-manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Assertion
Ref Expression
bnj643  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  ->  ps )

Proof of Theorem bnj643
StepHypRef Expression
1 bnj291 29524 . 2  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  <->  ( ( ph  /\  ch  /\  th )  /\  ps ) )
21simprbi 465 1  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  ->  ps )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    /\ w3a 982    /\ w-bnj17 29499
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 188  df-an 372  df-3an 984  df-bnj17 29500
This theorem is referenced by:  bnj706  29572  bnj916  29752  bnj998  29775  bnj1006  29778
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