Theorem peano3OLD

Description: Obsolete version of peano3 as of 10-Jun-2026. (Contributed by NM, 3-Sep-2003) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Assertion	peano3OLD	⊢ ( 𝐴 ∈ ω → suc 𝐴 ≠ ∅ )

Proof

Step	Hyp	Ref	Expression
1		nsuceq0	⊢ suc 𝐴 ≠ ∅
2	1	a1i	⊢ ( 𝐴 ∈ ω → suc 𝐴 ≠ ∅ )