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 ∈ V
Assertion	0dom	⊢ ∅ ≼ 𝐴

Proof

Step	Hyp	Ref	Expression
1		0sdom.1	⊢ 𝐴 ∈ V
2		0domg	⊢ ( 𝐴 ∈ V → ∅ ≼ 𝐴 )
3	1 2	ax-mp	⊢ ∅ ≼ 𝐴