proposition: Lemma base_category_univalent : is_univalent D → is_univalent base_category.
proof: Proof. intros HD. unfold is_univalent. unfold base_category. simpl. intros F₀ G₀. use isweqhomot. - apply base_category_z_iso_weq_aux, HD. - intros p. induction p. simpl. show_id_type. cbn. apply (z_iso_eq(C:=base_category)). apply idpath. - apply base_category_z_iso_weq_aux. Defined.
imports: UniMath.Foundations.PartD UniMath.Foundations.UnivalenceAxiom UniMath.MoreFoundations.Propositions UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Monads.Monads UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Constructions