proposition: Lemma dagger_functor_equality {C D : category} {dagC : dagger C} {dagD : dagger D} (F G : dagger_functor dagC dagD) : pr11 F = pr11 G -> F = G.
proof: Proof. intro p. use subtypePath. { intro ; apply isaprop_is_dagger_functor. } use (functor_eq _ _ (homset_property D)). exact p. Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.DaggerCategories.Categories