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Metamath Proof Explorer

Theorem ssab2

Description: Subclass relation for the restriction of a class abstraction. (Contributed by NM, 31-Mar-1995)

		Ref	Expression
	Assertion	ssab2	$⊢ \{x \| (x \in A \land φ)\} \subseteq A$

Step	Hyp	Ref	Expression
1		simpl	$⊢ (x \in A \land φ) \to x \in A$
2	1	abssi	$⊢ \{x \| (x \in A \land φ)\} \subseteq A$