Lemma unitary_eq {C : category} {dag : dagger_structure C} {x y : C} (f g : unitary dag x y) : pr1 f = pr1 g -> f = g. Proof. intro p. apply (total2_paths_f p). apply isaprop_is_unitary. 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.DaggerCategories.Categories.