∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {P : CategoryTheory.ObjectProperty C} {J : Type u'}
  [inst_1 : CategoryTheory.Category.{v', u'} J] [P.IsClosedUnderIsomorphisms],
  P.strictLimitsOfShape J ≤ P → P.IsClosedUnderLimitsOfShape J