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Metamath Proof Explorer

Theorem neqne

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

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

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