Theorem peano1OLD

Description: Obsolete version of peano1 as of 29-Nov-2024. (Contributed by NM, 15-May-1994) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Assertion	peano1OLD	⊢ ∅ ∈ ω

Proof

Step	Hyp	Ref	Expression
1		limom	⊢ Lim ω
2		0ellim	⊢ ( Lim ω → ∅ ∈ ω )
3	1 2	ax-mp	⊢ ∅ ∈ ω