∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (F : CategoryTheory.Functor C FintypeCat),
  (CategoryTheory.PreGaloisCategory.functorToAction F).comp
      (CategoryTheory.forget₂ (Action FintypeCat (CategoryTheory.Aut F)) FintypeCat) =
    F