Lemma isaprop_is_unitary {C : category} (dag : dagger_structure C) {x y : C} (f : C⟦x,y⟧) : isaprop (is_unitary dag f). Proof. apply isaprop_is_inverse_in_precat. 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.