Definition iso_twosided_disp {C₁ C₂ : category} {D : twosided_disp_cat C₁ C₂} {x₁ x₂ : C₁} {y₁ y₂ : C₂} (f : z_iso x₁ x₂) (g : z_iso y₁ y₂) (xy₁ : D x₁ y₁) (xy₂ : D x₂ y₂) : UU := ∑ (fg : xy₁ -->[ f ][ g ] xy₂), is_iso_twosided_disp (pr2 f) (pr2 g) 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.