∀ {C : Type u_4} [inst : CategoryTheory.Category.{u_2, u_4} C] {T : CategoryTheory.Monad C} {J : Type u_3}
  [inst_1 : CategoryTheory.Category.{u_1, u_3} J] {D : CategoryTheory.Functor J T.Algebra}
  (c : CategoryTheory.Limits.Cocone (D.comp T.forget)) (t : CategoryTheory.Limits.IsColimit c)
  [inst_2 : CategoryTheory.Limits.PreservesColimit (D.comp T.forget) T.toFunctor]
  [inst_3 : CategoryTheory.Limits.PreservesColimit ((D.comp T.forget).comp T.toFunctor) T.toFunctor]
  (s : CategoryTheory.Limits.Cocone D) (j : J),
  CategoryTheory.CategoryStruct.comp ((CategoryTheory.Monad.ForgetCreatesColimits.liftedCocone c t).ι.app j)
      { f := t.desc (T.forget.mapCocone s), h := ⋯ } =
    s.ι.app j