Theorem xpeq1i

Description: Equality inference for Cartesian product. (Contributed by NM, 21-Dec-2008)

	Ref	Expression
Hypothesis	xpeq1i.1	$$⊢A=B$$
Assertion	xpeq1i	$$⊢A\times C=B\times C$$

Proof

Step	Hyp	Ref	Expression
1		xpeq1i.1	$$⊢A=B$$
2		xpeq1	$$⊢A=B\to A\times C=B\times C$$
3	1 2	ax-mp	$$⊢A\times C=B\times C$$