Theorem nnzsd

Description: A positive surreal integer is a surreal integer. Deduction form. (Contributed by Scott Fenton, 26-May-2025)

	Ref	Expression
Hypothesis	nnzsd.1	⊢ ( 𝜑 → 𝐴 ∈ ℕs )
Assertion	nnzsd	⊢ ( 𝜑 → 𝐴 ∈ ℤs )

Proof

Step	Hyp	Ref	Expression
1		nnzsd.1	⊢ ( 𝜑 → 𝐴 ∈ ℕs )
2		nnzs	⊢ ( 𝐴 ∈ ℕs → 𝐴 ∈ ℤs )
3	1 2	syl	⊢ ( 𝜑 → 𝐴 ∈ ℤs )