Metamath Proof Explorer


Theorem bj-denot

Description: A weakening of ax-6 and ax6v . (Contributed by BJ, 4-Apr-2021) (New usage is discouraged.)

Ref Expression
Assertion bj-denot ⊢ x = x → ¬ ∀ y ¬ y = x

Proof

Step Hyp Ref Expression
1 ax6v ⊢ ¬ ∀ y ¬ y = x
2 1 a1i ⊢ x = x → ¬ ∀ y ¬ y = x