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Theorem nextnt 31064
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 1442 . . 3  |- T.
21notnoti 127 . 2  |-  -.  -. T.
32nex 1675 1  |-  -.  E. x  -. T.
Colors of variables: wff setvar class
Syntax hints:   -. wn 3   T. wtru 1439   E.wex 1660
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1666
This theorem depends on definitions:  df-bi 189  df-tru 1441  df-ex 1661
This theorem is referenced by:  unnt  31067
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