Definition cat_with_enrichment_alt_laws {V : monoidal_cat} (E : cat_with_enrichment_alt_data V) : UU := has_homsets (cat_with_enrichment_alt_data_precategory_data E) × is_precategory (cat_with_enrichment_alt_data_precategory_data E) × enrichment_laws (cat_with_enrichment_alt_data_enrichment E).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.EnrichedCats.Enriched.Enriched. Require Import UniMath.CategoryTheory.EnrichedCats.Enrichment. Require Import UniMath.CategoryTheory.EnrichedCats.Enriched.UnderlyingCategory. Import MonoidalNotations.