Definition relmonadmor_eq_type {C : precategory_data} (D : category) (J : functor C D)(R R': RelMonad J) : UU := ∑ p : z_iso (C := [C, D]) (R_functor R) (R_functor R'), RelMonadMor_axioms (nat_trans_data_from_nat_trans (morphism_from_z_iso _ _ p)).
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.