Theorem wl-naevhba1v

Description: An instance of hbn1w applied to equality. (Contributed by Wolf Lammen, 7-Apr-2021)

	Ref	Expression
Assertion	wl-naevhba1v	$$⊢\neg \forall xx=y\to \forall x\neg \forall xx=y$$

Proof

Step	Hyp	Ref	Expression
1		equequ1	$$⊢x=z\to \left(x=y\leftrightarrow z=y\right)$$
2	1	hbn1w	$$⊢\neg \forall xx=y\to \forall x\neg \forall xx=y$$