Definition precategory_RelMonad_data {C : precategory_data} {D : precategory} (J : functor_data C D) : precategory_data. Proof. apply (make_precategory_data (precategory_RelMonad_ob_mor J)). - intro R. apply RelMonad_identity. - intros R R' R'' α α'. apply (RelMonad_composition α α'). Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Adjunctions.Core.