Definition weq_hom_in_subcat_from_hom_in_precat (C : category) (C' : hsubtype (ob C)) (a b : ob (full_sub_precategory C')): (pr1 a --> pr1 b) ≃ (a-->b) := tpair _ _ (isweq_hom_in_subcat_from_hom_in_precat C C' a b).
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.