∀ {α : Type u_1} {β : Type u_2} {𝕜 : Type u_3} [inst : NormedField 𝕜] [inst_1 : TopologicalSpace α]
  [inst_2 : SeminormedAddCommGroup β] [inst_3 : NormedSpace 𝕜 β] (f : BoundedContinuousFunction α β), 1 • f = f