Definition indexed_cat_to_disp_cat_z_iso_weq {x : C} (xx₁ xx₂ : Φ x) : z_iso xx₁ xx₂ ≃ @z_iso_disp _ indexed_cat_to_disp_cat _ _ (identity_z_iso _) xx₁ xx₂. Proof. use weqbandf. - exact (indexed_cat_to_disp_cat_z_iso_weq_base xx₁ xx₂). - exact (indexed_cat_to_disp_cat_z_iso_weq_fiber xx₁ xx₂). Defined.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.OppositeCategory.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Isos. Require Import UniMath.CategoryTheory.DisplayedCats.Fibrations. Require Import UniMath.CategoryTheory.DisplayedCats.Fiber. Require Import UniMath.CategoryTheory.DisplayedCats.Univalence. Require Import UniMath.CategoryTheory.IndexedCategories.IndexedCategory.