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 ( 𝜑𝐴 ∈ ( M ‘ 𝐵 ) )
Assertion madenod ( 𝜑𝐴 No )

Proof

Step Hyp Ref Expression
1 madenod.1 ( 𝜑𝐴 ∈ ( M ‘ 𝐵 ) )
2 madessno ( M ‘ 𝐵 ) ⊆ No
3 2 1 sselid ( 𝜑𝐴 No )