∀ {J : Type u_3} [inst : CategoryTheory.Category.{u_1, u_3} J] {K : Type u_5}
  [inst_1 : CategoryTheory.Category.{u_6, u_5} K] {C : Type u_4} [inst_2 : CategoryTheory.Category.{u_2, u_4} C]
  {F : CategoryTheory.Functor J C} (e : K ≌ J) {X Y : CategoryTheory.Limits.Cone F} (f : X ⟶ Y),
  CategoryTheory.CategoryStruct.comp ((CategoryTheory.Functor.id (CategoryTheory.Limits.Cone F)).map f)
      ((fun s =>
            CategoryTheory.Limits.Cones.ext
              (CategoryTheory.Iso.refl ((CategoryTheory.Functor.id (CategoryTheory.Limits.Cone F)).obj s).pt) ⋯)
          Y).hom =
    CategoryTheory.CategoryStruct.comp
      ((fun s =>
            CategoryTheory.Limits.Cones.ext
              (CategoryTheory.Iso.refl ((CategoryTheory.Functor.id (CategoryTheory.Limits.Cone F)).obj s).pt) ⋯)
          X).hom
      (((CategoryTheory.Limits.Cones.whiskering e.functor).comp
            ((CategoryTheory.Limits.Cones.whiskering e.inverse).comp
              (CategoryTheory.Limits.Cones.postcompose (e.invFunIdAssoc F).hom))).map
        f)