Definition comp_essentially_surj_cell_pr2 : comp_unit_mor (pr2 h₁) · (f /≃₁ comp_essentially_surj_mor_inv2cell α) · π₂ ==> pr1 α · π₂ := rassociator • (_ ◃ pb_on_1cell_pr2 _ _) • lassociator • (mor_to_pb_obj_pr2 _ _ _ ▹ _) • lunitor _.
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.Bicategories.Core.Bicat. Import Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Require Import UniMath.Bicategories.DisplayedBicats.Examples.Slice. Require Import UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat. Require Import UniMath.Bicategories.PseudoFunctors.PseudoFunctor. Import PseudoFunctor.Notations. Require Import UniMath.Bicategories.PseudoFunctors.UniversalArrow. Require Import UniMath.Bicategories.PseudoFunctors.Examples.PullbackFunctor. Require Import UniMath.Bicategories.Limits.Pullbacks. Require Import UniMath.Bicategories.Limits.PullbackFunctions. Import PullbackFunctions.Notations.