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Theorem bnj708 29562
Description:  /\-manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Hypothesis
Ref Expression
bnj708.1  |-  ( th 
->  ta )
Assertion
Ref Expression
bnj708  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  ->  ta )

Proof of Theorem bnj708
StepHypRef Expression
1 bnj645 29556 . 2  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  ->  th )
2 bnj708.1 . 2  |-  ( th 
->  ta )
31, 2syl 17 1  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  ->  ta )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    /\ w-bnj17 29487
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-bnj17 29488
This theorem is referenced by:  bnj1254  29617  bnj999  29764  bnj1001  29765  bnj1006  29766  bnj1049  29779  bnj1121  29790  bnj1145  29798  bnj1154  29804
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