Users' Mathboxes Mathbox for Anthony Hart < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  nextnt Structured version   Visualization version   GIF version

Theorem nextnt 32710
Description: There does not exist a set, such that is not true. (Contributed by Anthony Hart, 13-Sep-2011.)
Assertion
Ref Expression
nextnt ¬ ∃𝑥 ¬ ⊤

Proof of Theorem nextnt
StepHypRef Expression
1 tru 1636 . . 3
21notnoti 137 . 2 ¬ ¬ ⊤
32nex 1880 1 ¬ ∃𝑥 ¬ ⊤
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wtru 1633  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-ex 1854
This theorem is referenced by:  unnt  32713
  Copyright terms: Public domain W3C validator