proposition: Lemma unitary_functors_eq_equiv_unitary_functors_inv_law2 : ∏ y : unitary_functors dagF dagG, unitary_functors_eq_to_unitary_functors (unitary_functors_eq_from_unitary_functors y) = y.
proof: Proof. intro. use total2_paths_f. - use (nat_trans_eq (pr2 D)). intro ; apply idpath. - apply funextsec ; intro. apply Isos.isaprop_is_inverse_in_precat. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DaggerCategories.Categories UniMath.CategoryTheory.DaggerCategories.Unitary UniMath.CategoryTheory.DaggerCategories.Univalence UniMath.CategoryTheory.DaggerCategories.Functors UniMath.CategoryTheory.DaggerCategories.Transformations