Lemma isaprop_RelMonad_axioms (R : RelMonad_data)(hs : has_homsets D) : isaprop (RelMonad_axioms R). Proof. apply isapropdirprod. - apply impred_isaprop; intros. apply hs. - apply isapropdirprod; repeat (apply impred_isaprop; intros); apply hs. 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.