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Metamath Proof Explorer

Theorem ssrab2

Description: Subclass relation for a restricted class. (Contributed by NM, 19-Mar-1997) (Proof shortened by BJ and SN, 8-Aug-2024)

		Ref	Expression
	Assertion	ssrab2	$⊢ \{x \in A \| φ\} \subseteq A$

Step	Hyp	Ref	Expression
1		elrabi	$⊢ y \in \{x \in A \| φ\} \to y \in A$
2	1	ssriv	$⊢ \{x \in A \| φ\} \subseteq A$