Theorem n0no

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

	Ref	Expression
Assertion	n0no	$$⊢A\in {\mathbb{N}}_{\mathrm{0s}}\to A\in \mathrm{No}$$

Proof

Step	Hyp	Ref	Expression
1		n0ssno	$$⊢{\mathbb{N}}_{\mathrm{0s}}\subseteq \mathrm{No}$$
2	1	sseli	$$⊢A\in {\mathbb{N}}_{\mathrm{0s}}\to A\in \mathrm{No}$$