Theorem brrelex1i

Description: The first argument of a binary relation exists. (An artifact of our ordered pair definition.) (Contributed by NM, 4-Jun-1998)

	Ref	Expression
Hypothesis	brrelexi.1	$$⊢\mathrm{Rel}R$$
Assertion	brrelex1i	$$⊢ARB\to A\in \mathrm{V}$$

Proof

Step	Hyp	Ref	Expression
1		brrelexi.1	$$⊢\mathrm{Rel}R$$
2		brrelex1	$$⊢\left(\mathrm{Rel}R\wedge ARB\right)\to A\in \mathrm{V}$$
3	1 2	mpan	$$⊢ARB\to A\in \mathrm{V}$$