∀ (𝕜 : Type u_1) (A : Type u_2) [inst : CommSemiring 𝕜] [inst_1 : TopologicalSpace 𝕜] [inst_2 : ContinuousAdd 𝕜]
  [inst_3 : ContinuousConstSMul 𝕜 𝕜] [inst_4 : NonUnitalNonAssocSemiring A] [inst_5 : TopologicalSpace A]
  [inst_6 : Module 𝕜 A] [T2Space 𝕜] [ContinuousMul 𝕜], IsClosed (WeakDual.characterSpace 𝕜 A ∪ {0})