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Metamath Proof Explorer

Theorem inex2

Description: Separation Scheme (Aussonderung) using class notation. (Contributed by NM, 27-Apr-1994)

		Ref	Expression
	Hypothesis	inex2.1	$⊢ A \in V$
	Assertion	inex2	$⊢ B \cap A \in V$

Step	Hyp	Ref	Expression
1		inex2.1	$⊢ A \in V$
2		incom	$⊢ B \cap A = A \cap B$
3	1	inex1	$⊢ A \cap B \in V$
4	2 3	eqeltri	$⊢ B \cap A \in V$