fact: Definition deriv_dist (T : Monad C) : (T ∙ maybe_monad) ⟹ (maybe_monad ∙ T) := coproduct_nat_trans C C co (constant_functor C C o) T (functor_deriv T) (nat_trans_comp _ _ _ (coproduct_nat_trans_in1 C C co (constant_functor C C o) (functor_identity C)) (pre_whisker maybe_monad (η T))) (post_whisker (coproduct_nat_trans_in2 C C co (constant_functor C C o) (functor_identity C)) 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