Metamath Proof Explorer


Theorem n0sno

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

Ref Expression
Assertion n0sno
|- ( A e. NN0_s -> A e. No )

Proof

Step Hyp Ref Expression
1 n0ssno
 |-  NN0_s C_ No
2 1 sseli
 |-  ( A e. NN0_s -> A e. No )