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Theorem nextf 31066
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 1451 . 2  |-  -. F.
21nex 1678 1  |-  -.  E. x F.
Colors of variables: wff setvar class
Syntax hints:   -. wn 3   F. wfal 1449   E.wex 1663
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1669
This theorem depends on definitions:  df-bi 189  df-tru 1447  df-fal 1450  df-ex 1664
This theorem is referenced by:  unnf  31067  mof  31070
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