Metamath Proof Explorer


Theorem znod

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

Ref Expression
Hypothesis znod.1 ⊢ ( 𝜑 → 𝐴 ∈ ℤs )
Assertion znod ( 𝜑 → 𝐴 ∈ No )

Proof

Step Hyp Ref Expression
1 znod.1 ⊢ ( 𝜑 → 𝐴 ∈ ℤs )
2 zno ⊢ ( 𝐴 ∈ ℤs → 𝐴 ∈ No )
3 1 2 syl ⊢ ( 𝜑 → 𝐴 ∈ No )