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Metamath Proof Explorer

Theorem xpeq2i

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

		Ref	Expression
	Hypothesis	xpeq1i.1	$⊢ A = B$
	Assertion	xpeq2i	$⊢ C \times A = C \times B$

Step	Hyp	Ref	Expression
1		xpeq1i.1	$⊢ A = B$
2		xpeq2	$⊢ A = B \to C \times A = C \times B$
3	1 2	ax-mp	$⊢ C \times A = C \times B$