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Theorem an43 30182
Description: Rearrangement of 4 conjuncts. (Contributed by Rodolfo Medina, 24-Sep-2010.) (Proof shortened by Andrew Salmon, 29-Jun-2011.)
Assertion
Ref Expression
an43  |-  ( ( ( ph  /\  ps )  /\  ( ch  /\  th ) )  <->  ( ( ph  /\  th )  /\  ( ps  /\  ch )
) )

Proof of Theorem an43
StepHypRef Expression
1 an42 822 . 2  |-  ( ( ( ph  /\  th )  /\  ( ps  /\  ch ) )  <->  ( ( ph  /\  ps )  /\  ( ch  /\  th )
) )
21bicomi 202 1  |-  ( ( ( ph  /\  ps )  /\  ( ch  /\  th ) )  <->  ( ( ph  /\  th )  /\  ( ps  /\  ch )
) )
Colors of variables: wff setvar class
Syntax hints:    <-> wb 184    /\ wa 369
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 185  df-an 371
This theorem is referenced by:  an3  30184  prtlem15  30209
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