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Metamath Proof Explorer

Theorem ssbri

Description: Inference from a subclass relationship of binary relations. (Contributed by NM, 28-Mar-2007) (Revised by Mario Carneiro, 8-Feb-2015)

		Ref	Expression
	Hypothesis	ssbri.1	$⊢ A \subseteq B$
	Assertion	ssbri	$⊢ C A D \to C B D$

Step	Hyp	Ref	Expression
1		ssbri.1	$⊢ A \subseteq B$
2		ssbr	$⊢ A \subseteq B \to (C A D \to C B D)$
3	1 2	ax-mp	$⊢ C A D \to C B D$