proposition: Lemma full_sub_dagger_laws : dagger_laws full_sub_dagger_structure.
proof: Proof. repeat split ; (intro ; intros ; use subtypePath ; [intro ; apply isapropunit | ]). - apply dagger_to_law_id. - apply dagger_to_law_comp. - apply dagger_to_law_idemp. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Subcategory.Core UniMath.CategoryTheory.Subcategory.Full UniMath.CategoryTheory.DaggerCategories.Categories UniMath.CategoryTheory.DaggerCategories.Unitary UniMath.CategoryTheory.DaggerCategories.Univalence UniMath.CategoryTheory.DaggerCategories.Functors