Theorem rabex

Description: Separation Scheme in terms of a restricted class abstraction. (Contributed by NM, 19-Jul-1996)

	Ref	Expression
Hypothesis	rabex.1	$$⊢A\in \mathrm{V}$$
Assertion	rabex	$$⊢\left\{x\in A|\phi \right\}\in \mathrm{V}$$

Proof

Step	Hyp	Ref	Expression
1		rabex.1	$$⊢A\in \mathrm{V}$$
2		rabexg	$$⊢A\in \mathrm{V}\to \left\{x\in A|\phi \right\}\in \mathrm{V}$$
3	1 2	ax-mp	$$⊢\left\{x\in A|\phi \right\}\in \mathrm{V}$$