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Theorem pm4.61 415
Description: Theorem *4.61 of [WhiteheadRussell] p. 120. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm4.61  |-  ( -.  ( ph  ->  ps ) 
<->  ( ph  /\  -.  ps ) )

Proof of Theorem pm4.61
StepHypRef Expression
1 annim 414 . 2  |-  ( (
ph  /\  -.  ps )  <->  -.  ( ph  ->  ps ) )
21bicomi 193 1  |-  ( -.  ( ph  ->  ps ) 
<->  ( ph  /\  -.  ps ) )
Colors of variables: wff set class
Syntax hints:   -. wn 3    -> wi 4    <-> wb 176    /\ wa 358
This theorem is referenced by:  pm4.65  416  npss  3286  difin  3406  isf32lem2  7980  nmo  23144  fphpd  26899  bnj1253  29047
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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