proposition: Lemma only_isos_above_an_id {c : C} (d1 d2 : D c) : is_z_iso_disp (idtoiso (idpath c)) (pr1 (uf _ _ (identity c) d1 d2)).
proof: Proof. apply only_isos_above_an_iso. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.catiso UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Univalence