Definition REL_precategory_id_comp : precategory_id_comp REL_precategory_ob_mor. Proof. exists (λ _ x1 x2, eqset x1 x2). exact (λ X Y Z r1 r2 x z, ∃ y : pr1 Y, r1 x y × r2 y z). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Categories.HSET.All.