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Theorem bnj721 29102
Description:  /\-manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Hypothesis
Ref Expression
bnj721.1  |-  ( (
ph  /\  ps  /\  ch )  ->  ta )
Assertion
Ref Expression
bnj721  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  ->  ta )

Proof of Theorem bnj721
StepHypRef Expression
1 bnj658 29096 . 2  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  ->  ( ph  /\  ps  /\  ch ) )
2 bnj721.1 . 2  |-  ( (
ph  /\  ps  /\  ch )  ->  ta )
31, 2syl 15 1  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  ->  ta )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ w3a 934    /\ w-bnj17 29027
This theorem is referenced by:  bnj570  29253  bnj594  29260  bnj999  29305  bnj1093  29326
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-bnj17 29028
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