Definition disp_end_cat_id_comp : disp_cat_id_comp B disp_end_ob_mor. Proof. simple refine (_ ,, _). - exact (λ x mx, lunitor _ • rinvunitor _). - exact (λ x y z f g mx my mz mf mg, rassociator _ _ _ • (_ ◃ mg) • lassociator _ _ _ • (mf ▹ _) • rassociator _ _ _). Defined.
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.DisplayedCats.Core. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.DisplayedBicats.DispUnivalence.