Definition section_disp_bicat_laws_lwhisker {B : bicat} {D : disp_bicat B} (s : section_disp_bicat_data D) : UU := ∏ (x y z : B) (f : x --> y) (g₁ g₂ : y --> z) (η : g₁ ==> g₂), transportf (λ z, _ ==>[ z ] _) (section_disp_bicat_laws_lwhisker_base f η) (pr1 (section_on_comp s f g₁) •• section_on_cell s (f ◃ η)) = (section_on_mor s f ◃◃ section_on_cell s η) •• pr1 (section_on_comp s f g₂).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.DisplayedBicats.DispInvertibles. Require Import UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat. Require Import UniMath.Bicategories.PseudoFunctors.PseudoFunctor.