Metamath Proof Explorer

Theorem renod

Description: A surreal real is a surreal number. (Contributed by Scott Fenton, 19-Feb-2026)

Ref Expression
Hypothesis renod.1 
|- ( ph -> A e. RR_s )
Assertion renod 
|- ( ph -> A e. No )

Proof

Step Hyp Ref Expression
1 renod.1 
 |-  ( ph -> A e. RR_s )
2 reno 
 |-  ( A e. RR_s -> A e. No )
3 1 2 syl 
 |-  ( ph -> A e. No )