Theorem xrneq1i

Description: Equality theorem for the range Cartesian product, inference form. (Contributed by Peter Mazsa, 16-Dec-2020)

	Ref	Expression
Hypothesis	xrneq1i.1	$$⊢A=B$$
Assertion	xrneq1i	$$⊢A⋉C=B⋉C$$

Proof

Step	Hyp	Ref	Expression
1		xrneq1i.1	$$⊢A=B$$
2		xrneq1	$$⊢A=B\to A⋉C=B⋉C$$
3	1 2	ax-mp	$$⊢A⋉C=B⋉C$$