Theorem 0dom

Description: Any set dominates the empty set. (Contributed by NM, 26-Oct-2003) (Revised by Mario Carneiro, 26-Apr-2015)

	Ref	Expression
Hypothesis	0sdom.1	$$⊢A\in \mathrm{V}$$
Assertion	0dom	$$⊢\varnothing \preccurlyeq A$$

Proof

Step	Hyp	Ref	Expression
1		0sdom.1	$$⊢A\in \mathrm{V}$$
2		0domg	$$⊢A\in \mathrm{V}\to \varnothing \preccurlyeq A$$
3	1 2	ax-mp	$$⊢\varnothing \preccurlyeq A$$