∀ {J : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} J] {C : Type u_4}
  [inst_1 : CategoryTheory.Category.{u_3, u_4} C] {F : CategoryTheory.Functor J C} (c : CategoryTheory.Limits.Cone F)
  {X : C} (f : X ⟶ c.pt) ⦃X_1 Y : J⦄ (f_1 : X_1 ⟶ Y),
  CategoryTheory.CategoryStruct.comp (((CategoryTheory.Functor.const J).obj (CategoryTheory.Under.mk f)).map f_1)
      (CategoryTheory.Under.homMk (c.π.app Y) ⋯) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Under.homMk (c.π.app X_1) ⋯)
      ((CategoryTheory.Under.lift F
            (CategoryTheory.CategoryStruct.comp ((CategoryTheory.Functor.const J).map f) c.π)).map
        f_1)