fact: Definition monad_comp_mu {C : category} {S T : Monad C} (a : T ∙ S ⟹ S ∙ T) : (S ∙ T ∙ S ∙ T) ⟹ (S ∙ T) := nat_trans_comp _ _ _ (post_whisker (pre_whisker S a) T) (nat_trans_comp _ _ _ (pre_whisker (S ∙ S) (μ T)) (post_whisker (μ S) T)).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Monads.Monads UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Monads.LModules