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 ¬