fact: Definition strong_monoidal_functor : UU := ∑ lmF : lax_monoidal_functor, (is_z_isomorphism (lax_monoidal_functor_ϵ lmF)) × (is_nat_z_iso (lax_monoidal_functor_μ lmF)).
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