Theorem elexd

Description: If a class is a member of another class, then it is a set. Deduction associated with elex . (Contributed by Glauco Siliprandi, 11-Oct-2020)

	Ref	Expression
Hypothesis	elexd.1	$$⊢\phi \to A\in V$$
Assertion	elexd	$$⊢\phi \to A\in \mathrm{V}$$

Proof

Step	Hyp	Ref	Expression
1		elexd.1	$$⊢\phi \to A\in V$$
2		elex	$$⊢A\in V\to A\in \mathrm{V}$$
3	1 2	syl	$$⊢\phi \to A\in \mathrm{V}$$