∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : Type w} [inst_1 : PartialOrder J]
  (F : CategoryTheory.Functor J C) {J' : Type w'} [inst_2 : PartialOrder J'] (e : J' ≃o J) [F.IsWellOrderContinuous],
  (e.equivalence.functor.comp F).IsWellOrderContinuous