∀ (L : Type u_1) [inst : Field L] (Γ₀ : Type u_2) [inst_1 : LinearOrderedCommGroupWithZero Γ₀] [val : Valued L Γ₀]
  [hv : Valued.v.RankOne] (x y : L), ↑⟨(fun x y => Valued.norm (x - y)) x y, ⋯⟩ = ENNReal.ofReal (Valued.norm (x - y))