Definition is_dispbinatiso {A B C : category} {F : bifunctor A B C} {G : bifunctor A B C} {DA : disp_cat A} {DB : disp_cat B} {DC : disp_cat C} {α : binat_trans F G} (αiso : is_binatiso α) {DF : disp_bifunctor_data F DA DB DC} {DG : disp_bifunctor_data G DA DB DC} (dα : disp_binat_trans α DF DG) : UU := ∏ (x : A) (y : B) (xx : DA x) (yy : DB y), is_z_iso_disp (α x y ,, αiso x y) (pr1 dα x y xx yy).
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.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Functors. Require Import UniMath.CategoryTheory.DisplayedCats.Isos. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Core.Isos. Import BifunctorNotations. Import DisplayedBifunctorNotations.