Theorem nnnod

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

	Ref	Expression
Hypothesis	nnnod.1	$$⊢\phi \to A\in {\mathbb{N}}_s$$
Assertion	nnnod	$$⊢\phi \to A\in \mathrm{No}$$

Proof

Step	Hyp	Ref	Expression
1		nnnod.1	$$⊢\phi \to A\in {\mathbb{N}}_s$$
2		nnno	$$⊢A\in {\mathbb{N}}_s\to A\in \mathrm{No}$$
3	1 2	syl	$$⊢\phi \to A\in \mathrm{No}$$