Definition subcategory_univalent (C : univalent_category) (C' : hsubtype (ob C)) : univalent_category. Proof. use make_univalent_category. - exact (subcategory C (full_sub_precategory C')). - apply is_univalent_full_sub_category, univalent_category_is_univalent. Defined.
Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Subcategory.Core.