Definition isaprop_is_iso_twosided_disp {C₁ C₂ : category} {D : twosided_disp_cat C₁ C₂} {x₁ x₂ : C₁} {y₁ y₂ : C₂} {xy₁ : D x₁ y₁} {xy₂ : D x₂ y₂} {f : x₁ --> x₂} {g : y₁ --> y₂} (Hf : is_z_isomorphism f) (Hg : is_z_isomorphism g) (fg : xy₁ -->[ f ][ g ] xy₂) : isaprop (is_iso_twosided_disp Hf Hg 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.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Isos. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat.