Lemma is_set_sub_precategory_morphisms {C : category} (C' : sub_precategories C) (a b : ob C) : isaset (sub_precategory_morphisms C' a b). Proof. apply isofhlevel_hsubtype, C. Defined.
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.