Definition dagger_law_comp {C : category} (dag : dagger_structure C) : UU := ∏ (x y z : C) (f: C⟦x,y⟧) (g : C⟦y,z⟧), dag x z (f · g) = dag y z g · dag x y f.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories.