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Theorem moor 2334
Description: "At most one" is still the case when a disjunct is removed. (Contributed by NM, 5-Apr-2004.)
Assertion
Ref Expression
moor  |-  ( E* x ( ph  \/  ps )  ->  E* x ph )

Proof of Theorem moor
StepHypRef Expression
1 orc 375 . 2  |-  ( ph  ->  ( ph  \/  ps ) )
21moimi 2328 1  |-  ( E* x ( ph  \/  ps )  ->  E* x ph )
Colors of variables: wff set class
Syntax hints:    -> wi 4    \/ wo 358   E*wmo 2282
This theorem is referenced by:  mooran2  2336
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950
This theorem depends on definitions:  df-bi 178  df-or 360  df-an 361  df-tru 1328  df-ex 1551  df-nf 1554  df-sb 1659  df-eu 2285  df-mo 2286
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