Metamath Proof Explorer


Theorem nnno

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

Ref Expression
Assertion nnno ⊢ A ∈ ℕ s → A ∈ No

Proof

Step Hyp Ref Expression
1 nnssno ⊢ ℕ s ⊆ No
2 1 sseli ⊢ A ∈ ℕ s → A ∈ No