∀ {α : Type u_1} {β : Type u_2} {𝕜 : Type u_3} [inst : PseudoMetricSpace 𝕜] [inst_1 : TopologicalSpace α]
  [inst_2 : PseudoMetricSpace β] [inst_3 : Semiring 𝕜] [inst_4 : AddCommMonoid β] [inst_5 : Module 𝕜 β]
  [inst_6 : IsBoundedSMul 𝕜 β] [inst_7 : BoundedAdd β] [inst_8 : ContinuousAdd β] (r s : 𝕜)
  (x : BoundedContinuousFunction α β), (r + s) • x = r • x + s • x