Definition sub_precategory_morphisms_set {C : category} (C':sub_precategories C) (a b : ob C) : hSet := tpair _ (sub_precategory_morphisms C' a b) (is_set_sub_precategory_morphisms C' a b).
Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos.