Definition transportf_cell_from_invertible_2cell_eq {C : bicat} {a b : C} {f g : C⟦a,b⟧} (Y : f ==> g → UU) {α : f ==> g} (H₁ : is_invertible_2cell α) (H₂ : is_invertible_2cell α) (y : Y α) : transportf (λ (z : invertible_2cell f g), Y (pr1 z)) (@cell_from_invertible_2cell_eq C _ _ _ _ (α ,, H₁) (α ,, H₂) (idpath α)) y = y.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Isos. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Core.Invertible_2cells.