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Theorem eumoi 2295
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 2294 . 2  |-  ( E! x ph  ->  E* x ph )
31, 2ax-mp 8 1  |-  E* x ph
Colors of variables: wff set class
Syntax hints:   E!weu 2254   E*wmo 2255
This theorem is referenced by:  euxfr  3080
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1552  ax-5 1563  ax-17 1623  ax-9 1662  ax-8 1683  ax-6 1740  ax-7 1745  ax-11 1757  ax-12 1946
This theorem depends on definitions:  df-bi 178  df-an 361  df-tru 1325  df-ex 1548  df-nf 1551  df-sb 1656  df-eu 2258  df-mo 2259
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