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 ( 𝜑𝐴 ∈ ℝs )
Assertion renod ( 𝜑𝐴 No )

Proof

Step Hyp Ref Expression
1 renod.1 ( 𝜑𝐴 ∈ ℝs )
2 reno ( 𝐴 ∈ ℝs𝐴 No )
3 1 2 syl ( 𝜑𝐴 No )