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Metamath Proof Explorer

Theorem resexd

Description: The restriction of a set is a set. (Contributed by Glauco Siliprandi, 23-Oct-2021)

		Ref	Expression
	Hypothesis	resexd.1	$⊢ φ \to A \in V$
	Assertion	resexd	$⊢ φ \to {A ↾}_{B} \in V$

Step	Hyp	Ref	Expression
1		resexd.1	$⊢ φ \to A \in V$
2		resexg	$⊢ A \in V \to {A ↾}_{B} \in V$
3	1 2	syl	$⊢ φ \to {A ↾}_{B} \in V$