Metamath Proof Explorer


Theorem madenod

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

Ref Expression
Hypothesis madenod.1
|- ( ph -> A e. ( _Made ` B ) )
Assertion madenod
|- ( ph -> A e. No )

Proof

Step Hyp Ref Expression
1 madenod.1
 |-  ( ph -> A e. ( _Made ` B ) )
2 madessno
 |-  ( _Made ` B ) C_ No
3 2 1 sselid
 |-  ( ph -> A e. No )