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 |X. A ) = ( C |X. B )

Proof

Step	Hyp	Ref	Expression
1		xrneq2i.1	|- A = B
2		xrneq2	|- ( A = B -> ( C |X. A ) = ( C |X. B ) )
3	1 2	ax-mp	|- ( C |X. A ) = ( C |X. B )