∀ {C : Type u_1} [inst : CategoryTheory.Category.{u_2, u_1} C] [inst_1 : CategoryTheory.GaloisCategory C]
  (F : CategoryTheory.Functor C FintypeCat) {A : CategoryTheory.PreGaloisCategory.PointedGaloisObject F},
  CategoryTheory.PreGaloisCategory.IsConnected A.obj