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Theorem bnj258 29049
Description:  /\-manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Assertion
Ref Expression
bnj258  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  <->  ( ( ph  /\  ps  /\  th )  /\  ch ) )

Proof of Theorem bnj258
StepHypRef Expression
1 bnj257 29048 . 2  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  <->  ( ph  /\ 
ps  /\  th  /\  ch ) )
2 df-bnj17 29028 . 2  |-  ( (
ph  /\  ps  /\  th  /\  ch )  <->  ( ( ph  /\  ps  /\  th )  /\  ch ) )
31, 2bitri 240 1  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  <->  ( ( ph  /\  ps  /\  th )  /\  ch ) )
Colors of variables: wff set class
Syntax hints:    <-> wb 176    /\ wa 358    /\ w3a 934    /\ w-bnj17 29027
This theorem is referenced by:  bnj707  29100  bnj1019  29127  bnj556  29248  bnj594  29260  bnj1018  29310  bnj1110  29328
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 29028
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