proposition: Lemma isweq_idtoiso_functorcat (C : precategory_data) (D : category) (H : is_univalent D) (F G : ob [C, D, D]) : isweq (@idtoiso _ F G).
proof: Proof. apply (isweq_iso _ (functor_eq_from_functor_z_iso H F G)). apply functor_eq_from_functor_z_iso_idtoiso. apply idtoiso_functor_eq_from_functor_z_iso. Defined.
imports: UniMath.Foundations.Propositions UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.Univalence UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.TransportMorphisms UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence