Definition disp_cell_unit_bicat_is_disp_invertible_2cell {a b : C} {f : a --> b} {g : a --> b} (x : invertible_2cell f g) {aa : disp_cell_unit_bicat a} {bb : disp_cell_unit_bicat b} {ff : aa -->[ f ] bb} {gg : aa -->[ g ] bb} (xx : ff ==>[ x ] gg) : is_disp_invertible_2cell x xx. Proof. use tpair. - exact tt. - split ; apply isapropunit. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.MoreFoundations.Propositions. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Constructions. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Examples.Initial. Require Import UniMath.Bicategories.Core.Examples.Final. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.DisplayedBicats.DispInvertibles. Require Import UniMath.Bicategories.DisplayedBicats.DispAdjunctions. Require Import UniMath.Bicategories.DisplayedBicats.DispUnivalence.