Definition is_invertible_2cell_pb_ump_cell_inv : ψ ==> φ. Proof. use (pb_ump_cell Hp _ _ (Hα^-1) (Hβ^-1)). abstract (do 3 (use vcomp_move_R_Mp ; [ is_iso | ]) ; rewrite !vassocl ; do 3 (use vcomp_move_L_pM ; [ is_iso | ]) ; cbn ; rewrite !vassocr ; exact (!r)). Defined.
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.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Univalence.