Definition is_univalent_in_fibers {C} (D : disp_cat C) : UU := ∏ x (xx xx' : D x), isweq (fun e : xx = xx' => idtoiso_fiber_disp e).
Require Import UniMath.Foundations.All. 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.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Isos.