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Theorem pm4.53 480
Description: Theorem *4.53 of [WhiteheadRussell] p. 120. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm4.53  |-  ( -.  ( ph  /\  -.  ps )  <->  ( -.  ph  \/  ps ) )

Proof of Theorem pm4.53
StepHypRef Expression
1 pm4.52 479 . . 3  |-  ( (
ph  /\  -.  ps )  <->  -.  ( -.  ph  \/  ps ) )
21con2bii 324 . 2  |-  ( ( -.  ph  \/  ps ) 
<->  -.  ( ph  /\  -.  ps ) )
32bicomi 195 1  |-  ( -.  ( ph  /\  -.  ps )  <->  ( -.  ph  \/  ps ) )
Colors of variables: wff set class
Syntax hints:   -. wn 5    <-> wb 178    \/ wo 359    /\ wa 360
This theorem is referenced by:  undif3  3430  undif3VD  27926  cdleme32e  29901
This theorem was proved from axioms:  ax-1 7  ax-2 8  ax-3 9  ax-mp 10
This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362
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