Definition precategory_id_comp (C : precategory_ob_mor) : UU := (∏ c : C, c --> c) × (∏ a b c : C, a --> b -> b --> c -> a --> c).
Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.MoreFoundations.Notations.