Definition get_und_ver_assoc (C: predoublecategory_hor_sq) : ∏ (a b c d : und_ver_cat_ob C) (f: get_und_ver_cat_ob_mor a b) (g: get_und_ver_cat_ob_mor b c) (h: get_und_ver_cat_ob_mor c d), make_und_ver_cat_comp f (make_und_ver_cat_comp g h) = make_und_ver_cat_comp (make_und_ver_cat_comp f g) h := fun a b c d f g h => und_ver_assoc f g h.
Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.MoreFoundations.Notations. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence.