∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (𝕜 : Type u_4)
  [inst_2 : CommSemiring 𝕜] (A : Type u_5) [inst_3 : TopologicalSpace A] [inst_4 : Semiring A]
  [inst_5 : IsTopologicalSemiring A] [inst_6 : Star A] [inst_7 : ContinuousStar A] [inst_8 : Algebra 𝕜 A] (f : C(X, Y))
  (g : C(Y, A)), (ContinuousMap.compStarAlgHom' 𝕜 A f) g = g.comp f