∀ {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] (x x_1 : BoundedContinuousFunction α 𝕜)
  (x_2 : BoundedContinuousFunction α β), (x * x_1) • x_2 = x • x_1 • x_2