fact: Definition strong_fully_faithful_on_points_to_preserve_underlying {V₁ V₂ : monoidal_cat} {F : strong_monoidal_functor V₁ V₂} (HF : ∏ (x : V₁), isweq (λ (f : I_{V₁} --> x), #F f)) : preserve_underlying F.
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