Theorem znod

Description: A surreal integer is a surreal. Deduction form. (Contributed by Scott Fenton, 17-May-2025)

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

Proof

Step	Hyp	Ref	Expression
1		znod.1	$$⊢\phi \to A\in {\mathbb{Z}}_s$$
2		zno	$$⊢A\in {\mathbb{Z}}_s\to A\in \mathrm{No}$$
3	1 2	syl	$$⊢\phi \to A\in \mathrm{No}$$