{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {J : Type u} →
      [inst_1 : CategoryTheory.Category.{v, u} J] →
        {T : CategoryTheory.Comonad C} →
          (D : CategoryTheory.Functor J T.Coalgebra) →
            CategoryTheory.Limits.Cocone (D.comp T.forget) → CategoryTheory.Limits.Cocone (D.comp T.forget)