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	$$⊢\varnothing \in \mathrm{\omega }$$

Proof

Step	Hyp	Ref	Expression
1		limom	$$⊢\mathrm{Lim}\mathrm{\omega }$$
2		0ellim	$$⊢\mathrm{Lim}\mathrm{\omega }\to \varnothing \in \mathrm{\omega }$$
3	1 2	ax-mp	$$⊢\varnothing \in \mathrm{\omega }$$