∀ {X : Type u_1} {R : Type u_2} [inst : Zero X] [inst_1 : TopologicalSpace X] [inst_2 : CommRing R]
  [inst_3 : TopologicalSpace R] [inst_4 : IsTopologicalRing R] (a b c : ContinuousMapZero X R),
  (a + b) * c = a * c + b * c