∀ {α : Type u_2} {β : Type u_1} [inst : TopologicalSpace α] [inst_1 : PseudoMetricSpace β] {C : NNReal}
  (f : BoundedContinuousFunction α β) (x y : α), ↑C * dist (f x) (f y) ≤ ↑(max C 0) * dist (f x) (f y)