fact: Definition monad_enrichment {V : monoidal_cat} {C : category} (E : enrichment C V) (M : Monad C) : UU := ∑ (EM : functor_enrichment M E E), nat_trans_enrichment (η M) (functor_id_enrichment _) EM × nat_trans_enrichment (μ M) (functor_comp_enrichment EM EM) EM.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Monads.Monads UniMath.CategoryTheory.EnrichedCats.Enrichment UniMath.CategoryTheory.EnrichedCats.EnrichmentFunctor UniMath.CategoryTheory.EnrichedCats.EnrichmentTransformation UniMath.CategoryTheory.Monoidal.Categories