∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {P : CategoryTheory.ObjectProperty C},
  (CategoryTheory.MorphismProperty.ofObjectProperty P P).cokernels ≤ P → P.IsClosedUnderCokernels