Theorem elfvexd

Description: If a function value has a member, then its argument is a set. Deduction form of elfvex . (An artifact of our function value definition.) (Contributed by David Moews, 1-May-2017)

	Ref	Expression
Hypothesis	elfvexd.1	$$⊢\phi \to A\in B\left(C\right)$$
Assertion	elfvexd	$$⊢\phi \to C\in \mathrm{V}$$

Proof

Step	Hyp	Ref	Expression
1		elfvexd.1	$$⊢\phi \to A\in B\left(C\right)$$
2		elfvex	$$⊢A\in B\left(C\right)\to C\in \mathrm{V}$$
3	1 2	syl	$$⊢\phi \to C\in \mathrm{V}$$