Metamath Proof Explorer


Theorem nnnod

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

Ref Expression
Hypothesis nnnod.1 ( 𝜑𝐴 ∈ ℕs )
Assertion nnnod ( 𝜑𝐴 No )

Proof

Step Hyp Ref Expression
1 nnnod.1 ( 𝜑𝐴 ∈ ℕs )
2 nnno ( 𝐴 ∈ ℕs𝐴 No )
3 1 2 syl ( 𝜑𝐴 No )