Definition eq_lift_2cell_alt {c : B} {cc : D c} {h h' : c --> a} {gg : cc -->[h · f ] bb} {gg' : cc -->[h' · f ] bb} {δ : h ==> h'} {σσ : gg ==>[ δ ▹ f] gg'} {Lh : lift_1cell_factor gg} {Lh' : lift_1cell_factor gg'} (Hσσ : lift_2cell_factor σσ Lh Lh') : Hσσ ▹▹ ff •• disp_cell_lift_1cell_factor Lh' = transportb (λ z, _ ==>[ z ] _) (id2_right _ @ ! id2_left _ ) (disp_cell_lift_1cell_factor Lh •• σσ).
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.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Fibrations. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Core.TransportLaws. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.DisplayedBicats.DispInvertibles.