Theorem rneqi

Description: Equality inference for range. (Contributed by NM, 4-Mar-2004)

	Ref	Expression
Hypothesis	rneqi.1	$$⊢A=B$$
Assertion	rneqi	$$⊢\mathrm{ran}A=\mathrm{ran}B$$

Proof

Step	Hyp	Ref	Expression
1		rneqi.1	$$⊢A=B$$
2		rneq	$$⊢A=B\to \mathrm{ran}A=\mathrm{ran}B$$
3	1 2	ax-mp	$$⊢\mathrm{ran}A=\mathrm{ran}B$$