∀ (α : Type u_1) (R : Type u_2) [inst : TopologicalSpace α] [inst_1 : PseudoMetricSpace R] [inst_2 : Monoid R]
  [inst_3 : BoundedMul R] [inst_4 : ContinuousMul R] (x y : BoundedContinuousFunction α R),
  (x * y).toContinuousMap = x.toContinuousMap * y.toContinuousMap