Theorem n0snod

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

	Ref	Expression
Hypothesis	n0snod.1	$$⊢\phi \to A\in {\mathbb{N}}_{\mathrm{0s}}$$
Assertion	n0snod	$$⊢\phi \to A\in \mathrm{No}$$

Proof

Step	Hyp	Ref	Expression
1		n0snod.1	$$⊢\phi \to A\in {\mathbb{N}}_{\mathrm{0s}}$$
2		n0sno	$$⊢A\in {\mathbb{N}}_{\mathrm{0s}}\to A\in \mathrm{No}$$
3	1 2	syl	$$⊢\phi \to A\in \mathrm{No}$$