fact: Definition lax_monoidal_functor : UU := ∑ F : Mon_C ⟶ Mon_D, ∑ ϵ : I_D --> F I_C, ∑ μ : monoidal_functor_map F, (monoidal_functor_associativity F μ) × (monoidal_functor_unitality F ϵ μ).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalCategoriesTensored UniMath.CategoryTheory.whiskering