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Metamath Proof Explorer

Theorem ssbr

Description: Implication from a subclass relationship of binary relations. (Contributed by Peter Mazsa, 11-Nov-2019)

		Ref	Expression
	Assertion	ssbr	$⊢ A \subseteq B \to (C A D \to C B D)$

Step	Hyp	Ref	Expression
1		id	$⊢ A \subseteq B \to A \subseteq B$
2	1	ssbrd	$⊢ A \subseteq B \to (C A D \to C B D)$