∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {F : CategoryTheory.Functor C D} {G : CategoryTheory.Functor D C} (adj : F ⊣ G) {J : Type u}
  [inst_2 : CategoryTheory.Category.{v, u} J] (K : CategoryTheory.Functor J C) (c : CategoryTheory.Limits.Cocone K),
  ((adj.functorialityUnit K).app c).hom = adj.unit.app c.pt