Definition from_op2_is_invertible_2cell {B : bicat} {x y : op2_bicat B} {f g : x --> y} {α : f ==> g} (Hα : is_invertible_2cell α) : @is_invertible_2cell B x y g f α. Proof. use make_is_invertible_2cell. - exact (Hα^-1). - exact (vcomp_linv Hα). - exact (vcomp_rinv Hα). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.opp_precat. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Morphisms.Adjunctions.