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Theorem nextf 32711
Description: There does not exist a set, such that is true. (Contributed by Anthony Hart, 13-Sep-2011.)
Assertion
Ref Expression
nextf ¬ ∃𝑥

Proof of Theorem nextf
StepHypRef Expression
1 fal 1639 . 2 ¬ ⊥
21nex 1880 1 ¬ ∃𝑥
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wfal 1637  wex 1853
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1871
This theorem depends on definitions:  df-bi 197  df-tru 1635  df-fal 1638  df-ex 1854
This theorem is referenced by:  unnf  32712  mof  32715
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