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Theorem nextnt 24844
Description: There does not exist a set, such that  T. is not true. (Contributed by Anthony Hart, 13-Sep-2011.)
Assertion
Ref Expression
nextnt  |-  -.  E. x  -.  T.

Proof of Theorem nextnt
StepHypRef Expression
1 tru 1312 . . 3  |-  T.
21notnoti 115 . 2  |-  -.  -.  T.
32nex 1542 1  |-  -.  E. x  -.  T.
Colors of variables: wff set class
Syntax hints:   -. wn 3    T. wtru 1307   E.wex 1528
This theorem is referenced by:  unnt  24847
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-ex 1529
  Copyright terms: Public domain W3C validator