Definition disp_leftwhiskering_on_morphisms {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) (y1 y2 : B) (g : B⟦y1,y2⟧) (xx : DA x) (yy1 : DB y1) (yy2 : DB y2), (yy1 -->[g] yy2) -> ((pr1 DF _ _ xx yy1) -->[x ⊗^{F}_{l} g] (pr1 DF _ _ xx yy2)) := pr1 (pr2 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.