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Theorem pm11.7 36716
Description: Theorem *11.7 in [WhiteheadRussell] p. 166. (Contributed by Andrew Salmon, 24-May-2011.)
Assertion
Ref Expression
pm11.7  |-  ( E. x E. y (
ph  \/  ph )  <->  E. x E. y ph )

Proof of Theorem pm11.7
StepHypRef Expression
1 oridm 516 . 2  |-  ( (
ph  \/  ph )  <->  ph )
212exbii 1713 1  |-  ( E. x E. y (
ph  \/  ph )  <->  E. x E. y ph )
Colors of variables: wff setvar class
Syntax hints:    <-> wb 187    \/ wo 369   E.wex 1657
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1663  ax-4 1676
This theorem depends on definitions:  df-bi 188  df-or 371  df-ex 1658
This theorem is referenced by: (None)
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