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Theorem bnj258 32715
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 32714 . 2  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  <->  ( ph  /\ 
ps  /\  th  /\  ch ) )
2 df-bnj17 32694 . 2  |-  ( (
ph  /\  ps  /\  th  /\  ch )  <->  ( ( ph  /\  ps  /\  th )  /\  ch ) )
31, 2bitri 249 1  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  <->  ( ( ph  /\  ps  /\  th )  /\  ch ) )
Colors of variables: wff setvar class
Syntax hints:    <-> wb 184    /\ wa 369    /\ w3a 968    /\ w-bnj17 32693
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-3an 970  df-bnj17 32694
This theorem is referenced by:  bnj707  32766  bnj1019  32792  bnj556  32912  bnj594  32924  bnj1018  32974  bnj1110  32992
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