Definition is_z_iso_to_is_inv2cell {a b : B} {f g : hom a b} (α : f ==> g) (Hα : is_z_isomorphism α) : is_invertible_2cell α. Proof. use make_is_invertible_2cell. - exact (inv_from_z_iso (α ,, Hα)). - exact (z_iso_inv_after_z_iso (α ,, Hα)). - exact (z_iso_after_z_iso_inv (α ,, Hα)). 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.