∀ {X : Type u_1} {R : Type u_2} [inst : TopologicalSpace X] [inst_1 : Semiring R] [inst_2 : TopologicalSpace R]
  [inst_3 : IsTopologicalSemiring R] (I : Ideal C(X, R)), ContinuousMap.setOfIdeal I = {x | ∀ f ∈ I, f x = 0}ᶜ