{α : Type u} →
  {β : Type v} →
    [inst : TopologicalSpace α] →
      [inst_1 : PseudoMetricSpace β] →
        (f : C(α, β)) → (C : ℝ) → (∀ (x y : α), dist (f x) (f y) ≤ C) → BoundedContinuousFunction α β