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
|- ( ph -> A e. NN_s )
Assertion nnnod
|- ( ph -> A e. No )

Proof

Step Hyp Ref Expression
1 nnnod.1
 |-  ( ph -> A e. NN_s )
2 nnno
 |-  ( A e. NN_s -> A e. No )
3 1 2 syl
 |-  ( ph -> A e. No )