fact: Definition Algebra_mor_commutes {X Y : Algebra} (f : Algebra_mor X Y) : Alg_map X · f = #T f · Alg_map Y := pr2 f.
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