∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] [inst_2 : Semiring β]
  [inst_3 : IsTopologicalSemiring β] (f : C(α, β)) (a : α), ContinuousMap.coeFnRingHom f a = f a