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Theorem bnj645 28457
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 28390 . 2  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  <->  ( ( ph  /\  ps  /\  ch )  /\  th ) )
21simprbi 451 1  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  ->  th )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ w3a 936    /\ w-bnj17 28389
This theorem is referenced by:  bnj708  28463  bnj908  28641  bnj929  28646  bnj964  28653  bnj1110  28690
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 178  df-an 361  df-bnj17 28390
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