Theorem resex

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

	Ref	Expression
Hypothesis	resex.1	|- A e. _V
Assertion	resex	|- ( A |` B ) e. _V

Proof

Step	Hyp	Ref	Expression
1		resex.1	|- A e. _V
2		resexg	|- ( A e. _V -> ( A |` B ) e. _V )
3	1 2	ax-mp	|- ( A |` B ) e. _V