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 ⊢ ( 𝜑 → 𝐴 ∈ ℝs )
Assertion renod ( 𝜑 → 𝐴 ∈ No )

Proof

Step Hyp Ref Expression
1 renod.1 ⊢ ( 𝜑 → 𝐴 ∈ ℝs )
2 reno ⊢ ( 𝐴 ∈ ℝs → 𝐴 ∈ No )
3 1 2 syl ⊢ ( 𝜑 → 𝐴 ∈ No )