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	$$⊢\mathrm{V}\ne \varnothing$$

Proof

Step	Hyp	Ref	Expression
1		vex	$$⊢x\in \mathrm{V}$$
2	1	ne0ii	$$⊢\mathrm{V}\ne \varnothing$$