Theorem 0domgOLD

Description: Obsolete version of 0domg as of 29-Nov-2024. (Contributed by NM, 26-Oct-2003) (Revised by Mario Carneiro, 26-Apr-2015) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Assertion	0domgOLD	⊢ ( 𝐴 ∈ 𝑉 → ∅ ≼ 𝐴 )

Proof

Step	Hyp	Ref	Expression
1		0ss	⊢ ∅ ⊆ 𝐴
2		ssdomg	⊢ ( 𝐴 ∈ 𝑉 → ( ∅ ⊆ 𝐴 → ∅ ≼ 𝐴 ) )
3	1 2	mpi	⊢ ( 𝐴 ∈ 𝑉 → ∅ ≼ 𝐴 )