Definition transport_1cell_disp_invertible_2cell {B : bicat} {D : disp_bicat B} {x y : B} {f g : x --> y} (p : f = g) {xx : D x} {yy : D y} (ff : xx -->[ f ] yy) : disp_invertible_2cell (inv_of_invertible_2cell (idtoiso_2_1 _ _ p)) (transport_1cell p ff) ff. Proof. induction p. exact (disp_id2_invertible_2cell ff). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Isos. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Core.Invertible_2cells.