Theorem elrn2

Description: Membership in a range. (Contributed by NM, 10-Jul-1994)

	Ref	Expression
Hypothesis	elrn.1	|- A e. _V
Assertion	elrn2	|- ( A e. ran B <-> E. x <. x , A >. e. B )

Proof

Step	Hyp	Ref	Expression
1		elrn.1	|- A e. _V
2		elrn2g	|- ( A e. _V -> ( A e. ran B <-> E. x <. x , A >. e. B ) )
3	1 2	ax-mp	|- ( A e. ran B <-> E. x <. x , A >. e. B )