Definition has_sq_hor_homsets (C : predoublecategory_hor_sq) : UU := ∏ (a b c d : C) (g: a -v-> c) (h: b -v-> d) (f : a -h-> b) (k : c -h-> d), isaset (Sq[ a -hv- f h -hv-> b, c -vh- g k -vh-> d]).
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.