Definition is_inv2cell_to_is_z_iso {a b : B} {f g : hom a b} (α : f ==> g) (Hα : is_invertible_2cell α) : is_z_isomorphism α. Proof. exists (Hα^-1). abstract (split ; [ apply vcomp_rinv | apply vcomp_linv]). 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.