proposition: Lemma form_adjunction_eps_eta : form_adjunction functor_unkleislify functor_kleislify eps_natural eta_natural.
proof: Proof. split; red; simpl. - intro T. apply (Monad_Mor_eq (unkleislify T) (unkleislify T)). intros. simpl. unfold eps. now rewrite id_left. - intro T. apply (Kleisli_Mor_eq (T:=kleislify T) (T':=kleislify T)). intros. simpl. apply funextsec. intro a. unfold eps. now rewrite id_left. 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