Definition assoc_disp {C} {D : disp_cat C} {x y z w} {f} {g} {h} {xx : D x} {yy : D y} {zz : D z} {ww : D w} (ff : xx -->[f] yy) (gg : yy -->[g] zz) (hh : zz -->[h] ww) : ff ;; (gg ;; hh) = transportb _ (assoc _ _ _) ((ff ;; gg) ;; hh) := pr1 (pr2 (pr2 (pr2 D))) _ _ _ _ _ _ _ _ _ _ _ _ _ _.
Require Import UniMath.Foundations.Sets. Require Import UniMath.Foundations.PartD. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.MoreFoundations.AxiomOfChoice. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.whiskering.