fact: Definition lifting : UU := ∑ T' : Monad (MonadAlg S), (∑ e : lift_eq T', (lift_η_commutes T' e) × (lift_μ_commutes T' e)).
imports: UniMath.Foundations.PartD UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Monads.Monads UniMath.CategoryTheory.Monads.Derivative