proposition: Lemma is_functor_kleislify {C : category} : is_functor (functor_data_kleislify C).
proof: Proof. split; red; simpl; intros. - unfold kleislify_mor. apply subtypePath; simpl. + intro. apply isaprop_Kleisli_Mor_laws; apply homset_property. + reflexivity. - apply subtypePath; simpl. + intro. apply isaprop_Kleisli_Mor_laws; apply homset_property. + reflexivity. 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