∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] {T : CategoryTheory.Monad C} {J : Type u_4}
  [inst_1 : CategoryTheory.Category.{u_3, u_4} J] (D : CategoryTheory.Functor J T.Algebra)
  [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]
  (c : CategoryTheory.Limits.Cocone (D.comp T.forget)) (t : CategoryTheory.Limits.IsColimit c) (j : J),
  CategoryTheory.CategoryStruct.comp
      ((T.forget.mapCocone
              { pt := CategoryTheory.Monad.ForgetCreatesColimits.coconePoint c t,
                ι := { app := fun j => { f := c.ι.app j, h := ⋯ }, naturality := ⋯ } }).ι.app
        j)
      (CategoryTheory.Iso.refl
          (T.forget.mapCocone
              { pt := CategoryTheory.Monad.ForgetCreatesColimits.coconePoint c t,
                ι := { app := fun j => { f := c.ι.app j, h := ⋯ }, naturality := ⋯ } }).pt).hom =
    c.ι.app j