Theorem neqne

Description: From non-equality to inequality. (Contributed by Glauco Siliprandi, 11-Dec-2019)

	Ref	Expression
Assertion	neqne	$$⊢\neg A=B\to A\ne B$$

Proof

Step	Hyp	Ref	Expression
1		id	$$⊢\neg A=B\to \neg A=B$$
2	1	neqned	$$⊢\neg A=B\to A\ne B$$