∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] {J : Type u_4}
  [inst_1 : CategoryTheory.Category.{u_3, u_4} J] {T : CategoryTheory.Comonad C}
  (D : CategoryTheory.Functor J T.Coalgebra) (c : CategoryTheory.Limits.Cocone (D.comp T.forget))
  (t : CategoryTheory.Limits.IsColimit c) (s : CategoryTheory.Limits.Cocone D)
  (m : (CategoryTheory.Comonad.ForgetCreatesColimits'.liftedCocone D c t).pt ⟶ s.pt),
  (∀ (j : J),
      CategoryTheory.CategoryStruct.comp ((CategoryTheory.Comonad.ForgetCreatesColimits'.liftedCocone D c t).ι.app j)
          m =
        s.ι.app j) →
    m = { f := t.desc (T.forget.mapCocone s), h := ⋯ }