Definition disp_2cells_iscontr {B : bicat} (D : disp_prebicat_1_id_comp_cells B) := ∏ (a b : B) (f g : a --> b) (x : f ==> g) (aa : D a) (bb : D b) (ff : aa -->[f] bb) (gg : aa -->[g] bb), iscontr (disp_2cells x ff gg).
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.CategoryTheory.DisplayedCats.Total. 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.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Core.Univalence.