∀ {α : Type u_1} {β : Type u_3} {𝕜 : Type u_2} [inst : NormedField 𝕜] [inst_1 : TopologicalSpace α]
  [inst_2 : SeminormedAddCommGroup β] [inst_3 : NormedSpace 𝕜 β] (c : BoundedContinuousFunction α 𝕜)
  (x x_1 : BoundedContinuousFunction α β), c • (x + x_1) = c • x + c • x_1