proposition: Lemma idtoiso_as_idtodagger_pointwise {x y : C} (p : x = y) : idtoiso p = dagger_univalence_to_univalence (idtodaggeriso (GRP_dagger C) x y p).
proof: Proof. apply (z_iso_eq (idtoiso p) (dagger_univalence_to_univalence (idtodaggeriso (GRP_dagger C) x y p))). induction p ; apply idpath. Defined.
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.Core.Univalence UniMath.CategoryTheory.Groupoids UniMath.CategoryTheory.DaggerCategories.Categories UniMath.CategoryTheory.DaggerCategories.Unitary UniMath.CategoryTheory.DaggerCategories.Univalence