Definition precategory_target (C : precategory_ob_mor) : total_morphisms C -> ob C := λ abf, pr2 (pr1 abf).
Require Import UniMath.Foundations.PartA. Require Import UniMath.Foundations.Sets. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Setcategories.