∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {C : Type u} [inst_1 : CategoryTheory.Category.{v, u} C]
  {L : CategoryTheory.Functor (CategoryTheory.Functor J C) C} (adj : CategoryTheory.Functor.const J ⊣ L)
  (F : CategoryTheory.Functor J C), (CategoryTheory.Limits.coneOfAdj adj F).pt = L.obj F