Definition element_functor_data {A : enriched_precat} (a : A) : enriched_functor_data unit_enriched_precat A. Proof. use make_enriched_functor_data. - intro. exact a. - intros x y. induction x, y. apply enriched_cat_identity. Defined.
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.