proposition: Lemma Right_rKleisli_is_functor {C: precategory_data} {D : precategory} {J : functor C D} (R: RelMonad J) : is_functor (Right_rKleisli_functor_data R).
proof: Proof. use tpair. - intro a. unfold Right_rKleisli_functor_data; unfold identity; unfold functor_on_morphisms; simpl. apply (r_bind_r_eta R). - intros a b c f g; simpl. apply pathsinv0. apply (r_bind_r_bind R). Defined.
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