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Metamath Proof Explorer

Theorem nexntru

Description: There does not exist a set such that T. is not true. (Contributed by Anthony Hart, 13-Sep-2011)

Ref Expression
Assertion nexntru ¬ ∃ 𝑥 ¬ ⊤

Proof

Step Hyp Ref Expression
1 tru ⊢ ⊤
2 1 notnoti ⊢ ¬ ¬ ⊤
3 2 nex ⊢ ¬ ∃ 𝑥 ¬ ⊤