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Theorem bnj645 33950
Description:  /\-manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Assertion
Ref Expression
bnj645  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  ->  th )

Proof of Theorem bnj645
StepHypRef Expression
1 df-bnj17 33882 . 2  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  <->  ( ( ph  /\  ps  /\  ch )  /\  th ) )
21simprbi 464 1  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  ->  th )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    /\ w3a 973    /\ w-bnj17 33881
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 185  df-an 371  df-bnj17 33882
This theorem is referenced by:  bnj708  33956  bnj908  34132  bnj929  34137  bnj964  34144  bnj1110  34181
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