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Theorem bnj707 29350
Description:  /\-manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Hypothesis
Ref Expression
bnj707.1  |-  ( ch 
->  ta )
Assertion
Ref Expression
bnj707  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  ->  ta )

Proof of Theorem bnj707
StepHypRef Expression
1 bnj258 29298 . . 3  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  <->  ( ( ph  /\  ps  /\  th )  /\  ch ) )
21simprbi 465 . 2  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  ->  ch )
3 bnj707.1 . 2  |-  ( ch 
->  ta )
42, 3syl 17 1  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  ->  ta )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    /\ w3a 982    /\ w-bnj17 29276
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 188  df-an 372  df-3an 984  df-bnj17 29277
This theorem is referenced by:  bnj771  29360  bnj998  29552  bnj1001  29554  bnj1006  29555  bnj1053  29570  bnj1121  29579  bnj1030  29581
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