Theorem neii

Description: Inference associated with df-ne . (Contributed by BJ, 7-Jul-2018)

	Ref	Expression
Hypothesis	neii.1	$$⊢A\ne B$$
Assertion	neii	$$⊢\neg A=B$$

Proof

Step	Hyp	Ref	Expression
1		neii.1	$$⊢A\ne B$$
2		df-ne	$$⊢A\ne B\leftrightarrow \neg A=B$$
3	1 2	mpbi	$$⊢\neg A=B$$