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Theorem ancomd 254
Description: Commutation of conjuncts in consequent. (Contributed by Jeff Hankins, 14-Aug-2009.)
Hypothesis
Ref Expression
ancomd.1  |-  ( ph  ->  ( ps  /\  ch ) )
Assertion
Ref Expression
ancomd  |-  ( ph  ->  ( ch  /\  ps ) )

Proof of Theorem ancomd
StepHypRef Expression
1 ancomd.1 . 2  |-  ( ph  ->  ( ps  /\  ch ) )
2 ancom 253 . 2  |-  ( ( ps  /\  ch )  <->  ( ch  /\  ps )
)
31, 2sylib 127 1  |-  ( ph  ->  ( ch  /\  ps ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 97
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101
This theorem depends on definitions:  df-bi 110
This theorem is referenced by:  elres  4646  relbrcnvg  4704  fvelrnb  5221  relelec  6146  prcdnql  6582  1idpru  6689  gt0srpr  6833
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