Theorem resex

Description: The restriction of a set is a set. (Contributed by Jeff Madsen, 19-Jun-2011)

	Ref	Expression
Hypothesis	resex.1	$$⊢A\in \mathrm{V}$$
Assertion	resex	$$⊢{A\upharpoonright }_B\in \mathrm{V}$$

Proof

Step	Hyp	Ref	Expression
1		resex.1	$$⊢A\in \mathrm{V}$$
2		resexg	$$⊢A\in \mathrm{V}\to {A\upharpoonright }_B\in \mathrm{V}$$
3	1 2	ax-mp	$$⊢{A\upharpoonright }_B\in \mathrm{V}$$