proposition: Lemma Right_Kleisli_is_functor {C : category} (T : Monad C) : is_functor (Right_Kleisli_functor_data T).
proof: Proof. use tpair. - intro a. unfold Right_Kleisli_functor_data; unfold identity; unfold functor_on_morphisms; cbn. apply bind_η. - intros a b c f g; cbn. apply pathsinv0. apply bind_bind. Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Monads.Monads UniMath.CategoryTheory.whiskering