∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] {D : Type u_4}
  [inst_1 : CategoryTheory.Category.{u_3, u_4} D] {J : Type u_1} [inst_2 : CategoryTheory.SmallCategory J]
  {K : CategoryTheory.Functor J C} (F : CategoryTheory.Functor C D) (s : CategoryTheory.Limits.Cone (K.comp F))
  ⦃X Y : J⦄ (f : X ⟶ Y),
  CategoryTheory.CategoryStruct.comp
      (((s.toStructuredArrow.comp (CategoryTheory.StructuredArrow.pre s.pt K F)).comp
            (CategoryTheory.StructuredArrow.proj s.pt F)).map
        f)
      (CategoryTheory.CategoryStruct.id
        (((s.toStructuredArrow.comp (CategoryTheory.StructuredArrow.pre s.pt K F)).comp
              (CategoryTheory.StructuredArrow.proj s.pt F)).obj
          Y)) =
    CategoryTheory.CategoryStruct.comp
      (CategoryTheory.CategoryStruct.id
        (((s.toStructuredArrow.comp (CategoryTheory.StructuredArrow.pre s.pt K F)).comp
              (CategoryTheory.StructuredArrow.proj s.pt F)).obj
          X))
      (K.map f)