Definition lift_η_commutes (T' : Monad (MonadAlg S)) (e : lift_eq T') : UU := transportf _ e (pre_whisker (forget_Alg S) (η T)) = (post_whisker (η T') (forget_Alg S)).
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.