Definition functors_eq_data_equiv_unitary_functors_eq (u : is_univalent_dagger dagD) : functors_eq_data ≃ unitary_functors_eq. Proof. use weq_iso. - exact (functors_eq_data_to_unitary_functors_eq u). - exact (functors_eq_data_from_unitary_functors_eq u). - exact (functors_eq_data_equiv_unitary_functors_eq_inv_law1 u). - exact (functors_eq_data_equiv_unitary_functors_eq_inv_law2 u). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Constructions. Require Import UniMath.CategoryTheory.DisplayedCats.Total. Require Import UniMath.CategoryTheory.DaggerCategories.Categories. Require Import UniMath.CategoryTheory.DaggerCategories.Unitary. Require Import UniMath.CategoryTheory.DaggerCategories.Univalence. Require Import UniMath.CategoryTheory.DaggerCategories.Functors. Require Import UniMath.CategoryTheory.DaggerCategories.Transformations.