Definition full_sub_category_pr_data {C : category} (C': hsubtype (ob C)) : functor_data (full_sub_category C C') C. Proof. use make_functor_data. - exact (λ h, pr1 h). - exact (λ h₁ h₂ α, pr1 α). 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.