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	$$⊢CAD\to CBD$$

Proof

Step	Hyp	Ref	Expression
1		ssbri.1	$$⊢A\subseteq B$$
2		ssbr	$$⊢A\subseteq B\to \left(CAD\to CBD\right)$$
3	1 2	ax-mp	$$⊢CAD\to CBD$$