Definition has_hor_sq_homsets (C : predoublecategory_hor_sq) : UU := ∏ (a b c d: C) (f: a -v-> b) (g: c -v-> d), isaset (und_ver_cat_ob_mor C (get_und_ver_cat_ob f) (get_und_ver_cat_ob g)).
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.