Theorem n0snod

Description: A non-negative surreal integer is a surreal. (Contributed by Scott Fenton, 15-Apr-2025)

	Ref	Expression
Hypothesis	n0snod.1	⊢ ( 𝜑 → 𝐴 ∈ ℕ0s )
Assertion	n0snod	⊢ ( 𝜑 → 𝐴 ∈ No )

Proof

Step	Hyp	Ref	Expression
1		n0snod.1	⊢ ( 𝜑 → 𝐴 ∈ ℕ0s )
2		n0sno	⊢ ( 𝐴 ∈ ℕ0s → 𝐴 ∈ No )
3	1 2	syl	⊢ ( 𝜑 → 𝐴 ∈ No )