Theorem resexd

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

	Ref	Expression
Hypothesis	resexd.1	|- ( ph -> A e. V )
Assertion	resexd	|- ( ph -> ( A |` B ) e. _V )

Proof

Step	Hyp	Ref	Expression
1		resexd.1	|- ( ph -> A e. V )
2		resexg	|- ( A e. V -> ( A |` B ) e. _V )
3	1 2	syl	|- ( ph -> ( A |` B ) e. _V )