Definition disp_bifunctor_on_objects {A B C : category} {F : bifunctor_data A B C} {DA : disp_cat A} {DB : disp_cat B} {DC : disp_cat C} (DF : disp_bifunctor_data F DA DB DC) : ∏ (x : A) (y : B), DA x -> DB y -> DC (x ⊗_{F} y) := pr1 DF.
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.