Definition inv_of_invertible_2cell {C : bicat} {X Y : C} {f g : X --> Y} : invertible_2cell f g → invertible_2cell g f. Proof. intro α. use make_invertible_2cell. - exact (α^-1). - is_iso. Defined.
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.Bicategories.Core.Bicat. Import Bicat.Notations.