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Theorem nextf 24845
Description: There does not exist a set, such that  F. is true. (Contributed by Anthony Hart, 13-Sep-2011.)
Assertion
Ref Expression
nextf  |-  -.  E. x  F.

Proof of Theorem nextf
StepHypRef Expression
1 fal 1313 . 2  |-  -.  F.
21nex 1542 1  |-  -.  E. x  F.
Colors of variables: wff set class
Syntax hints:   -. wn 3    F. wfal 1308   E.wex 1528
This theorem is referenced by:  unnf  24846  mof  24849
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1533
This theorem depends on definitions:  df-bi 177  df-tru 1310  df-fal 1311  df-ex 1529
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