∀ {J : Type u_3} [inst : CategoryTheory.Category.{u_2, u_3} J] (F : CategoryTheory.Functor J AddMonCat)
  (this : Small.{u_1, max u_1 u_3} ↑(F.comp (CategoryTheory.forget AddMonCat)).sections)
  (s : CategoryTheory.Limits.Cone F),
  (CategoryTheory.Limits.Types.Small.limitConeIsLimit (F.comp (CategoryTheory.forget AddMonCat))).lift
      ((CategoryTheory.forget AddMonCat).mapCone s) 0 =
    0