fact: Definition cat_with_enrichment_alt_data (V : monoidal_cat) : UU := ∑ (ob : UU) (arr : ob -> ob -> V), (∏ (x : ob), I_{V} --> arr x x) × (∏ (x y z : ob), arr y z ⊗ arr x y --> arr x z) × cat_with_enrichment_alt_data_help ob arr.
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.Monoidal.Categories UniMath.CategoryTheory.EnrichedCats.Enriched.Enriched UniMath.CategoryTheory.EnrichedCats.Enrichment UniMath.CategoryTheory.EnrichedCats.Enriched.UnderlyingCategory