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	⊢ ( 𝜑 → 𝐴 ∈ 𝑉 )
Assertion	elexd	⊢ ( 𝜑 → 𝐴 ∈ V )

Proof

Step	Hyp	Ref	Expression
1		elexd.1	⊢ ( 𝜑 → 𝐴 ∈ 𝑉 )
2		elex	⊢ ( 𝐴 ∈ 𝑉 → 𝐴 ∈ V )
3	1 2	syl	⊢ ( 𝜑 → 𝐴 ∈ V )