This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem zfausab

Description: Separation Scheme (Aussonderung) in terms of a class abstraction. (Contributed by NM, 8-Jun-1994)

		Ref	Expression
	Hypothesis	zfausab.1	$⊢ A \in V$
	Assertion	zfausab	$⊢ \{x \| (x \in A \land φ)\} \in V$

Step	Hyp	Ref	Expression
1		zfausab.1	$⊢ A \in V$
2		ssab2	$⊢ \{x \| (x \in A \land φ)\} \subseteq A$
3	1 2	ssexi	$⊢ \{x \| (x \in A \land φ)\} \in V$