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Theorem bnj836 29066
Description:  /\-manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Hypotheses
Ref Expression
bnj836.1  |-  ( et  <->  (
ph  /\  ps  /\  ch ) )
bnj836.2  |-  ( ps 
->  ta )
Assertion
Ref Expression
bnj836  |-  ( et 
->  ta )

Proof of Theorem bnj836
StepHypRef Expression
1 bnj836.1 . 2  |-  ( et  <->  (
ph  /\  ps  /\  ch ) )
2 bnj836.2 . . 3  |-  ( ps 
->  ta )
323ad2ant2 979 . 2  |-  ( (
ph  /\  ps  /\  ch )  ->  ta )
41, 3sylbi 188 1  |-  ( et 
->  ta )
Colors of variables: wff set class
Syntax hints:    -> wi 4    <-> wb 177    /\ w3a 936
This theorem is referenced by:  bnj1379  29139  bnj1175  29310  bnj1286  29325  bnj1450  29356  bnj1501  29373  bnj1523  29377
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 178  df-an 361  df-3an 938
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