∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {C : Type u} [inst_1 : CategoryTheory.Category.{v, u} C]
  {F : CategoryTheory.Functor J C} [inst_2 : CategoryTheory.Limits.HasLimit F] (c : CategoryTheory.Limits.Cone F)
  (j : J),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.limit.lift F c) (CategoryTheory.Limits.limit.π F j) =
    c.π.app j