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Metamath Proof Explorer

Theorem rabexgOLD

Description: Obsolete version of rabexg as of 24-Jul-2025). (Contributed by NM, 23-Oct-1999) (Proof modification is discouraged.) (New usage is discouraged.)

		Ref	Expression
	Assertion	rabexgOLD	$⊢ A \in V \to \{x \in A \| φ\} \in V$

Proof

Step	Hyp	Ref	Expression
1		ssrab2	$⊢ \{x \in A \| φ\} \subseteq A$
2		ssexg	$⊢ (\{x \in A \| φ\} \subseteq A \land A \in V) \to \{x \in A \| φ\} \in V$
3	1 2	mpan	$⊢ A \in V \to \{x \in A \| φ\} \in V$