proposition: Lemma eps_morph_law (T : KleisliMonad C) : Kleisli_Mor_laws T (kleislify (unkleislify T)) (eps T).
proof: Proof. split; simpl; intros. - apply id_right. - rewrite id_left, id_right. rewrite id_right. unfold μ. unfold bind. simpl. unfold Monads.bind. unfold Monads.μ. simpl. unfold μ. rewrite (bind_map T). now rewrite id_right. Defined.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Monads.Monads UniMath.CategoryTheory.Monads.KTriples UniMath.CategoryTheory.catiso UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.Equivalences.FullyFaithful