Definition RelMonadMor_equiv {C D : precategory_data} (hs : has_homsets D) {J : functor_data C D} {R R' : RelMonad_data J} (α β : RelMonadMor R R') : α = β ≃ ((α: RelMonadMor_data R R') = β). Proof. apply subtypeInjectivity. intro a. apply isaprop_RelMonadMor_axioms. exact 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.