Lemma idtodaggeriso_daggerisotoid {C : category} {dag : dagger C} (u : is_univalent_dagger dag) {x y : C} (p : unitary dag x y) : idtodaggeriso dag _ _ (daggerisotoid u p) = p. Proof. apply (homotweqinvweq (make_weq _ (u x y))). Qed.
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.CategoryTheory.DaggerCategories.Categories. Require Import UniMath.CategoryTheory.DaggerCategories.Unitary.