proposition: Lemma bind_comp_η {C : category} {T : Monad C} {a b : C} (f : C ⟦a , b⟧) : bind (f · (η T) b) = # T f.
proof: Proof. unfold bind; rewrite functor_comp. rewrite <- assoc. rewrite <- id_right. apply cancel_precomposition. apply bind_η. Qed.
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