Metamath Proof Explorer

Theorem newno

Description: An element of a new set is a surreal. (Contributed by Scott Fenton, 27-Feb-2026)

Ref Expression
Assertion newno 
|- ( A e. ( _New ` B ) -> A e. No )

Proof

Step Hyp Ref Expression
1 newssno 
 |-  ( _New ` B ) C_ No
2 1 sseli 
 |-  ( A e. ( _New ` B ) -> A e. No )