Definition comp_of_invertible_2cell {C : bicat} {X Y : C} {f g h : X --> Y} : invertible_2cell f g → invertible_2cell g h → invertible_2cell f h. Proof. intros α β. use make_invertible_2cell. - exact (α • β). - is_iso. + apply α. + apply β. 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.