Definition disp_prebicat_1_id_comp_cells_of_inv2cells : disp_prebicat_1_id_comp_cells B. Proof. simple refine (((_ ,, _) ,, (_ ,, _)) ,, _). - exact (λ _, unit). - exact (λ _ _ _ _ _, unit). - exact (λ _ _, tt). - exact (λ _ _ _ _ _ _ _ _ _ _, tt). - exact (λ x y f g α _ _ _ _, is_invertible_2cell α). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Require Import UniMath.Bicategories.DisplayedBicats.DispAdjunctions. Require Import UniMath.Bicategories.DisplayedBicats.DispInvertibles. Require Import UniMath.Bicategories.DisplayedBicats.DispUnivalence.