Definition setcategory_total_morphisms_set (C : setcategory) : hSet := make_hSet _ (isaset_setcategory_total_morphisms C).
Require Import UniMath.Foundations.PartA. Require Import UniMath.Foundations.Sets. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Setcategories.