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Metamath Proof Explorer

Theorem vn0ALT

Description: Alternate proof of vn0 . Shorter, but requiring df-clel , ax-8 . (Contributed by NM, 11-Sep-2008) (Proof modification is discouraged.) (New usage is discouraged.)

		Ref	Expression
	Assertion	vn0ALT	$⊢ V \neq \emptyset$

Proof

Step	Hyp	Ref	Expression
1		vex	$⊢ x \in V$
2	1	ne0ii	$⊢ V \neq \emptyset$