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	$$⊢\mathrm{Rel}R$$
Assertion	brrelex2i	$$⊢ARB\to B\in \mathrm{V}$$

Proof

Step	Hyp	Ref	Expression
1		brrelexi.1	$$⊢\mathrm{Rel}R$$
2		brrelex2	$$⊢\left(\mathrm{Rel}R\wedge ARB\right)\to B\in \mathrm{V}$$
3	1 2	mpan	$$⊢ARB\to B\in \mathrm{V}$$