Theorem 0domg

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

	Ref	Expression
Assertion	0domg	$$⊢A\in V\to \varnothing \preccurlyeq A$$

Proof

Step	Hyp	Ref	Expression
1		0ss	$$⊢\varnothing \subseteq A$$
2		ssdomg	$$⊢A\in V\to \left(\varnothing \subseteq A\to \varnothing \preccurlyeq A\right)$$
3	1 2	mpi	$$⊢A\in V\to \varnothing \preccurlyeq A$$