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Theorem an3 26817
Description: A rearrangement of conjuncts. (Contributed by Rodolfo Medina, 25-Sep-2010.)
Assertion
Ref Expression
an3  |-  ( ( ( ph  /\  ps )  /\  ( ch  /\  th ) )  ->  ( ph  /\  th ) )

Proof of Theorem an3
StepHypRef Expression
1 an43 26815 . 2  |-  ( ( ( ph  /\  ps )  /\  ( ch  /\  th ) )  <->  ( ( ph  /\  th )  /\  ( ps  /\  ch )
) )
21simplbi 446 1  |-  ( ( ( ph  /\  ps )  /\  ( ch  /\  th ) )  ->  ( ph  /\  th ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 358
This theorem is referenced by:  prtlem15  26846
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
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