Theorem nnn0s

Description: A positive surreal integer is a non-negative surreal integer. (Contributed by Scott Fenton, 26-May-2025)

	Ref	Expression
Assertion	nnn0s	⊢ ( 𝐴 ∈ ℕs → 𝐴 ∈ ℕ0s )

Proof

Step	Hyp	Ref	Expression
1		nnssn0s	⊢ ℕs ⊆ ℕ0s
2	1	sseli	⊢ ( 𝐴 ∈ ℕs → 𝐴 ∈ ℕ0s )