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Theorem nexntru 35592
Description: There does not exist a set such that is not true. (Contributed by Anthony Hart, 13-Sep-2011.)
Assertion
Ref Expression
nexntru ¬ ∃𝑥 ¬ ⊤

Proof of Theorem nexntru
StepHypRef Expression
1 tru 1545 . . 3
21notnoti 143 . 2 ¬ ¬ ⊤
32nex 1802 1 ¬ ∃𝑥 ¬ ⊤
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wtru 1542  wex 1781
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1797
This theorem depends on definitions:  df-bi 206  df-tru 1544  df-ex 1782
This theorem is referenced by:  neutru  35595
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