∀ {R : Type u_4} [inst : Ring R] {J : Type u_2} [inst_1 : CategoryTheory.Category.{u_1, u_2} J]
  (F : CategoryTheory.Functor J (ModuleCat R))
  [inst_2 : Small.{u_3, max u_2 u_3} ↑(F.comp (CategoryTheory.forget (ModuleCat R))).sections] (x x_1 : J)
  (f : x ⟶ x_1),
  CategoryTheory.CategoryStruct.comp
      (((CategoryTheory.Functor.const J).obj
            (ModuleCat.of R
              (CategoryTheory.Limits.Types.Small.limitCone (F.comp (CategoryTheory.forget (ModuleCat R)))).pt)).map
        f)
      (ModuleCat.ofHom (ModuleCat.limitπLinearMap F x_1)) =
    CategoryTheory.CategoryStruct.comp (ModuleCat.ofHom (ModuleCat.limitπLinearMap F x)) (F.map f)