Definition left_adjoint_equivalence_in_slice_right_adj_cell : invertible_2cell (pr2 f₂) (r · pr2 f₁) := comp_of_invertible_2cell (linvunitor_invertible_2cell _) (comp_of_invertible_2cell (rwhisker_of_invertible_2cell _ (inv_of_invertible_2cell ε)) (comp_of_invertible_2cell (rassociator_invertible_2cell _ _ _) (lwhisker_of_invertible_2cell _ (inv_of_invertible_2cell (pr2 l))))).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.EquivToAdjequiv. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.DisplayedBicats.DispInvertibles. Require Import UniMath.Bicategories.DisplayedBicats.DispAdjunctions. Require Import UniMath.Bicategories.DisplayedBicats.DispUnivalence.