Definition lifting_from_dist_law : lifting. Proof. exists lift_monad. exists (idpath _). split. - apply nat_trans_eq. + apply homset_property. + intro X. apply idpath. - apply nat_trans_eq. + apply homset_property. + intro X. apply idpath. Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.Monads.Monads. Require Import UniMath.CategoryTheory.Monads.Derivative.