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Theorem pm10.42 27662
Description: Theorem *10.42 in [WhiteheadRussell] p. 155. (Contributed by Andrew Salmon, 17-Jun-2011.)
Assertion
Ref Expression
pm10.42  |-  ( ( E. x ph  \/  E. x ps )  <->  E. x
( ph  \/  ps ) )

Proof of Theorem pm10.42
StepHypRef Expression
1 19.43 1595 . 2  |-  ( E. x ( ph  \/  ps )  <->  ( E. x ph  \/  E. x ps ) )
21bicomi 193 1  |-  ( ( E. x ph  \/  E. x ps )  <->  E. x
( ph  \/  ps ) )
Colors of variables: wff set class
Syntax hints:    <-> wb 176    \/ wo 357   E.wex 1531
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1536  ax-5 1547
This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-ex 1532
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