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 ∈ ℝ s
Assertion renod ⊢ φ → A ∈ No

Proof

Step Hyp Ref Expression
1 renod.1 ⊢ φ → A ∈ ℝ s
2 reno ⊢ A ∈ ℝ s → A ∈ No
3 1 2 syl ⊢ φ → A ∈ No