fact: Definition RelMonad_axioms (R : RelMonad_data) : UU := (∏ c, r_bind R (r_eta R c) = identity _ ) × (∏ c d (f : D⟦J c, R d⟧), r_eta R _ · r_bind R f = f) × (∏ c d e (f : D ⟦J c, R d⟧) (g : D ⟦J d, R e⟧), r_bind R f · r_bind R g = r_bind R (f · r_bind R g)).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Adjunctions.Core