∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {C : Type u₃} [inst_1 : CategoryTheory.Category.{v₃, u₃} C]
  {D : Type u₄} [inst_2 : CategoryTheory.Category.{v₄, u₄} D] (H : CategoryTheory.Functor C D)
  {F G : CategoryTheory.Functor J C} {α : F ≅ G} {c : CategoryTheory.Limits.Cocone G},
  H.mapCoconePrecomposeEquivalenceFunctor.hom.hom = CategoryTheory.CategoryStruct.id (H.obj c.pt)