Metamath Proof Explorer


Theorem n0no

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

Ref Expression
Assertion n0no ( 𝐴 ∈ ℕ0s → 𝐴 ∈ No )

Proof

Step Hyp Ref Expression
1 n0ssno ⊢ ℕ0s ⊆ No
2 1 sseli ⊢ ( 𝐴 ∈ ℕ0s → 𝐴 ∈ No )