proposition: Lemma z_iso_disp_z_iso_fiber (a b : fiber_category) : z_iso a b ≃ z_iso_disp (identity_z_iso c) a b.
proof: Proof. exists (z_iso_disp_from_z_iso_fiber a b). use (isweq_iso _ (z_iso_fiber_from_z_iso_disp _ _ )). - intro. apply z_iso_eq. apply idpath. - intro. apply eq_z_iso_disp. apply idpath. Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Total