Definition disp_lwhisker_id2 {a b c : C} {f : C⟦a,b⟧} {g : C⟦b,c⟧} {x : D a} {y : D b} {z : D c} (ff : x -->[f] y) (gg : y -->[g] z) : ff ◃◃ disp_id2 gg = transportb (λ α, _ ==>[α] _) (lwhisker_id2 _ _) (disp_id2 (ff ;; gg)) := pr1 (pr2 (pr2 (pr2 (pr2 D)))) _ _ _ _ _ _ _ _ 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.