Users' Mathboxes Mathbox for Anthony Hart < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  mofal Structured version   Visualization version   GIF version

Theorem mofal 32992
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 32988 . 2 ¬ ∃𝑥
2 exmo 2554 . 2 (∃𝑥⊥ ∨ ∃*𝑥⊥)
31, 2mtpor 1814 1 ∃*𝑥
Colors of variables: wff setvar class
Syntax hints:  wfal 1614  wex 1823  ∃*wmo 2549
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1839  ax-4 1853  ax-5 1953  ax-6 2021
This theorem depends on definitions:  df-bi 199  df-or 837  df-tru 1605  df-fal 1615  df-ex 1824  df-mo 2551
This theorem is referenced by:  amosym1  33008
  Copyright terms: Public domain W3C validator