∀ (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],
  BoundedContinuousFunction.toContinuousMap 1 = BoundedContinuousFunction.toContinuousMap 1