∀ {α : Type u} {R : Type u_2} [inst : TopologicalSpace α] [inst_1 : PseudoMetricSpace R] [inst_2 : Monoid R]
  [inst_3 : BoundedMul R] [inst_4 : ContinuousMul R],
  BoundedContinuousFunction.coeFnMonoidHom = { toFun := DFunLike.coe, map_one' := ⋯, map_mul' := ⋯ }