fact: Definition make_preserve_underlying {V₁ V₂ : monoidal_cat} {F : lax_monoidal_functor V₁ V₂} (Fv : preserve_underlying_data F) (HFv : preserves_underlying_laws Fv) : preserve_underlying F := Fv ,, HFv.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.EnrichedCats.Enrichment UniMath.CategoryTheory.EnrichedCats.EnrichmentFunctor UniMath.CategoryTheory.EnrichedCats.EnrichmentTransformation UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Functors