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Theorem ancomsimp 1375
Description: Closed form of ancoms 440. Derived automatically from ancomsimpVD 28686. (Contributed by Alan Sare, 31-Dec-2011.)
Assertion
Ref Expression
ancomsimp  |-  ( ( ( ph  /\  ps )  ->  ch )  <->  ( ( ps  /\  ph )  ->  ch ) )

Proof of Theorem ancomsimp
StepHypRef Expression
1 ancom 438 . 2  |-  ( (
ph  /\  ps )  <->  ( ps  /\  ph )
)
21imbi1i 316 1  |-  ( ( ( ph  /\  ps )  ->  ch )  <->  ( ( ps  /\  ph )  ->  ch ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    <-> wb 177    /\ wa 359
This theorem is referenced by:  exp3acom23g  1377  ralcomf  2826  ovolgelb  19329  itg2leub  19579  nmoubi  22226
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
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