∀ {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] [CategoryTheory.ObjectProperty.Small.{w, v_1, u_1} P]
  [CategoryTheory.LocallySmall.{w, v_1, u_1} C] [Small.{w, u'} J] [CategoryTheory.LocallySmall.{w, v', u'} J],
  CategoryTheory.ObjectProperty.EssentiallySmall.{w, v_1, u_1} (P.limitsOfShape J)