Metamath Proof Explorer

Theorem onsno

Description: A surreal ordinal is a surreal. (Contributed by Scott Fenton, 18-Mar-2025)

Ref Expression
Assertion onsno 
|- ( A e. On_s -> A e. No )

Proof

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