Definition dispfunctoronmorphisms_are_equal {A B C : category} {F : bifunctor A B C} {DA : disp_cat A} {DB : disp_cat B} {DC : disp_cat C} (DF : disp_bifunctor_data F DA DB DC) : UU := ∏ (x1 x2 : A) (y1 y2 : B) (f : A⟦x1,x2⟧) (g : B⟦y1,y2⟧) (xx1 : DA x1) (xx2 : DA x2) (yy1 : DB y1) (yy2 : DB y2) (ff : xx1 -->[f] xx2) (gg : yy1 -->[g] yy2), ff ⊗⊗^{DF} gg = transportb _ (bifunctor_equalwhiskers F _ _ _ _ f g) (ff ⊗⊗^{DF}_{2} gg).
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.