Definition assoc_eq {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 ff' : xx -->[f] yy) (gg gg' : yy -->[g] zz) (hh hh' : zz -->[h] ww) : ff ;; (gg ;; hh) = ff' ;; (gg' ;; hh') -> (ff ;; gg) ;; hh = (ff' ;; gg') ;; hh'.
Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. 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.Categories.HSET.Core. Require Import UniMath.CategoryTheory.Categories.HSET.MonoEpiIso. Require Import UniMath.CategoryTheory.Categories.HSET.Univalence. Require Import UniMath.CategoryTheory.Limits.Pullbacks. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.Equivalences.Core. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.opp_precat. Require Import UniMath.CategoryTheory.Presheaf. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Constructions. Require Import UniMath.CategoryTheory.DisplayedCats.Fibrations. Require Import UniMath.CategoryTheory.DisplayedCats.Fiber. Require Import UniMath.Foundations.All. Require Import UniMath.CategoryTheory.DisplayedCats.MoreFibrations.Prefibrations. Require Import UniMath.CategoryTheory.DisplayedCats.MoreFibrations.CartesiannessOfComposites.