Theorem n0zsd

Description: A non-negative surreal integer is a surreal integer. (Contributed by Scott Fenton, 26-May-2025)

	Ref	Expression
Hypothesis	n0zsd.1	⊢ ( 𝜑 → 𝐴 ∈ ℕ0s )
Assertion	n0zsd	⊢ ( 𝜑 → 𝐴 ∈ ℤs )

Proof

Step	Hyp	Ref	Expression
1		n0zsd.1	⊢ ( 𝜑 → 𝐴 ∈ ℕ0s )
2		n0zs	⊢ ( 𝐴 ∈ ℕ0s → 𝐴 ∈ ℤs )
3	1 2	syl	⊢ ( 𝜑 → 𝐴 ∈ ℤs )