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Theorem mofal 33818
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 33814 . 2 ¬ ∃𝑥
2 exmo 2626 . 2 (∃𝑥⊥ ∨ ∃*𝑥⊥)
31, 2mtpor 1772 1 ∃*𝑥
Colors of variables: wff setvar class
Syntax hints:  wfal 1550  wex 1781  ∃*wmo 2622
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1797  ax-4 1811  ax-5 1912  ax-6 1971
This theorem depends on definitions:  df-bi 210  df-or 845  df-tru 1541  df-fal 1551  df-ex 1782  df-mo 2624
This theorem is referenced by:  nrmo  33819  amosym1  33835
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