Definition op2_bicat_idtoiso_2_1_alt {C : bicat} {X Y : op2_bicat C} (C_is_univalent_2_1 : is_univalent_2_1 C) (f g : X --> Y) : f = g ≃ invertible_2cell f g := ((weq_op2_invertible_2cell f g) ∘ make_weq (@idtoiso_2_1 C _ _ g f) (C_is_univalent_2_1 _ _ g f) ∘ weqpathsinv0 _ _)%weq.
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. Require Import UniMath.Bicategories.Morphisms.Examples.MorphismsInOp1Bicat. Require Import UniMath.Bicategories.Core.AdjointUnique. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Core.Examples.OpCellBicat. Require Import UniMath.Bicategories.Core.Examples.OpMorBicat.