Theorem brrelex2i

Description: The second argument of a binary relation exists. (An artifact of our ordered pair definition.) (Contributed by Mario Carneiro, 26-Apr-2015)

	Ref	Expression
Hypothesis	brrelexi.1	|- Rel R
Assertion	brrelex2i	|- ( A R B -> B e. _V )

Proof

Step	Hyp	Ref	Expression
1		brrelexi.1	|- Rel R
2		brrelex2	|- ( ( Rel R /\ A R B ) -> B e. _V )
3	1 2	mpan	|- ( A R B -> B e. _V )