Definition enriched_precat_data : UU := ∑ C : UU, ∑ mor : C -> C -> ob Mon_V, dirprod (∏ x : C, I --> mor x x) (∏ x y z : C, mor y z ⊗ mor x y --> mor x z).
Require Import UniMath.Foundations.PartA. Require Import UniMath.Foundations.Propositions. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.Core.Isos. Import MonoidalNotations.