Definition disp_map_slice_biinitial_eq_property (h : disp_map_slice_bicat D b) : biinitial_eq_property disp_map_slice_biinitial_obj h. Proof. intros α β p q. use eq_2cell_disp_map_slice. apply (is_biinitial_eq_property (pr2 I)). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Require Import UniMath.Bicategories.DisplayedBicats.Examples.DisplayMapBicatSlice. Require Import UniMath.Bicategories.Colimits.Initial. Require Import UniMath.Bicategories.Logic.DisplayMapBicat.