Definition full_sub_category_pr {C : category} (C': hsubtype (ob C)) : full_sub_category C C' ⟶ C. Proof. use make_functor. - exact (full_sub_category_pr_data C'). - exact (full_sub_category_pr_is_functor C'). 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.