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Theorem bnj667 28781
Description:  /\-manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Assertion
Ref Expression
bnj667  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  ->  ( ps  /\  ch  /\  th ) )

Proof of Theorem bnj667
StepHypRef Expression
1 bnj446 28742 . 2  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  <->  ( ( ps  /\  ch  /\  th )  /\  ph ) )
21simplbi 446 1  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  ->  ( ps  /\  ch  /\  th ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ w3a 934    /\ w-bnj17 28711
This theorem is referenced by:  bnj570  28937  bnj594  28944  bnj944  28970  bnj969  28978
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 177  df-an 360  df-3an 936  df-bnj17 28712
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