Definition isaprop_disp_twosided_mor {C₁ C₂ : category} (D : twosided_disp_cat C₁ C₂) : UU := ∏ (x₁ x₂ : C₁) (y₁ y₂ : C₂) (xy₁ : D x₁ y₁) (xy₂ : D x₂ y₂) (f : x₁ --> x₂) (g : y₁ --> y₂) (fg fg' : xy₁ -->[ f ][ g ] xy₂), fg = fg'.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.Profunctors.Core. Require Import UniMath.CategoryTheory.opp_precat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence.