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Theorem eumoi 1933
Description: "At most one" inferred from existential uniqueness. (Contributed by NM, 5-Apr-1995.)
Hypothesis
Ref Expression
eumoi.1  |-  E! x ph
Assertion
Ref Expression
eumoi  |-  E* x ph

Proof of Theorem eumoi
StepHypRef Expression
1 eumoi.1 . 2  |-  E! x ph
2 eumo 1932 . 2  |-  ( E! x ph  ->  E* x ph )
31, 2ax-mp 7 1  |-  E* x ph
Colors of variables: wff set class
Syntax hints:   E!weu 1900   E*wmo 1901
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101
This theorem depends on definitions:  df-bi 110  df-mo 1904
This theorem is referenced by:  euxfrdc  2727
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