Theorem xrneq2i

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

	Ref	Expression
Hypothesis	xrneq2i.1	$$⊢A=B$$
Assertion	xrneq2i	$$⊢C⋉A=C⋉B$$

Proof

Step	Hyp	Ref	Expression
1		xrneq2i.1	$$⊢A=B$$
2		xrneq2	$$⊢A=B\to C⋉A=C⋉B$$
3	1 2	ax-mp	$$⊢C⋉A=C⋉B$$