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Theorem eumoi 2010
Description: "At most one" inferred from existential uniqueness. (Contributed by NM, 5-Apr-1995.)
Hypothesis
Ref Expression
eumoi.1 ∃!𝑥𝜑
Assertion
Ref Expression
eumoi ∃*𝑥𝜑

Proof of Theorem eumoi
StepHypRef Expression
1 eumoi.1 . 2 ∃!𝑥𝜑
2 eumo 2009 . 2 (∃!𝑥𝜑 → ∃*𝑥𝜑)
31, 2ax-mp 5 1 ∃*𝑥𝜑
Colors of variables: wff set class
Syntax hints:  ∃!weu 1977  ∃*wmo 1978
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107
This theorem depends on definitions:  df-bi 116  df-mo 1981
This theorem is referenced by:  euxfrdc  2843
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