Theorem rabexg

Description: Separation Scheme in terms of a restricted class abstraction. (Contributed by NM, 23-Oct-1999) (Proof shortened by BJ, 24-Jul-2025)

	Ref	Expression
Assertion	rabexg	$$⊢A\in V\to \left\{x\in A|\phi \right\}\in \mathrm{V}$$

Proof

Step	Hyp	Ref	Expression
1		rabelpw	$$⊢A\in V\to \left\{x\in A|\phi \right\}\in 𝒫A$$
2	1	elexd	$$⊢A\in V\to \left\{x\in A|\phi \right\}\in \mathrm{V}$$