Theorem nnsnod

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

	Ref	Expression
Hypothesis	nnsnod.1	⊢ ( 𝜑 → 𝐴 ∈ ℕs )
Assertion	nnsnod	⊢ ( 𝜑 → 𝐴 ∈ No )

Proof

Step	Hyp	Ref	Expression
1		nnsnod.1	⊢ ( 𝜑 → 𝐴 ∈ ℕs )
2		nnsno	⊢ ( 𝐴 ∈ ℕs → 𝐴 ∈ No )
3	1 2	syl	⊢ ( 𝜑 → 𝐴 ∈ No )