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Theorem mofal 36024
Description: There exist at most one set such that is true. (Contributed by Anthony Hart, 13-Sep-2011.)
Assertion
Ref Expression
mofal ∃*𝑥

Proof of Theorem mofal
StepHypRef Expression
1 nexfal 36020 . 2 ¬ ∃𝑥
2 exmo 2530 . 2 (∃𝑥⊥ ∨ ∃*𝑥⊥)
31, 2mtpor 1764 1 ∃*𝑥
Colors of variables: wff setvar class
Syntax hints:  wfal 1545  wex 1773  ∃*wmo 2526
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1789  ax-4 1803  ax-5 1905  ax-6 1963
This theorem depends on definitions:  df-bi 206  df-or 846  df-tru 1536  df-fal 1546  df-ex 1774  df-mo 2528
This theorem is referenced by:  nrmo  36025  amosym1  36041
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