Definition isotoid_2_1_idtoiso_2_1 {B : bicat} (HB : is_univalent_2_1 B) {a b : B} {f g : a --> b} (p : f = g) : isotoid_2_1 HB (idtoiso_2_1 _ _ p) = p. Proof. unfold isotoid_2_1. exact (homotinvweqweq (make_weq (idtoiso_2_1 f g) (HB _ _ f g)) p). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Groupoids. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Core.BicategoryLaws.