proposition: Lemma map_id {C : category} {T : Kleisli_Data C} (H : Kleisli_Laws T) : ∏ a : C, map T (identity a) = identity (T a).
proof: Proof. intro. unfold map. rewrite id_left. now apply η_bind. Defined.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Monads.Monads UniMath.CategoryTheory.Monads.RelativeMonads