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Theorem moor 2090
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 707 . 2  |-  ( ph  ->  ( ph  \/  ps ) )
21moimi 2084 1  |-  ( E* x ( ph  \/  ps )  ->  E* x ph )
Colors of variables: wff set class
Syntax hints:    -> wi 4    \/ wo 703   E*wmo 2020
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 704  ax-5 1440  ax-7 1441  ax-gen 1442  ax-ie1 1486  ax-ie2 1487  ax-8 1497  ax-10 1498  ax-11 1499  ax-i12 1500  ax-bndl 1502  ax-4 1503  ax-17 1519  ax-i9 1523  ax-ial 1527  ax-i5r 1528
This theorem depends on definitions:  df-bi 116  df-nf 1454  df-sb 1756  df-eu 2022  df-mo 2023
This theorem is referenced by:  mooran2  2092
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