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Theorem nexfal 35791
Description: There does not exist a set such that is true. (Contributed by Anthony Hart, 13-Sep-2011.)
Assertion
Ref Expression
nexfal ¬ ∃𝑥

Proof of Theorem nexfal
StepHypRef Expression
1 fal 1547 . 2 ¬ ⊥
21nex 1794 1 ¬ ∃𝑥
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wfal 1545  wex 1773
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1789
This theorem depends on definitions:  df-bi 206  df-tru 1536  df-fal 1546  df-ex 1774
This theorem is referenced by:  neufal  35792  mofal  35795
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