Definition set_enrichment_data : enrichment_data C SET_monoidal_cat. Proof. simple refine (_ ,, _ ,, _ ,, _ ,, _). - exact (λ x y, make_hSet (x --> y) (homset_property C x y)). - exact (λ x _, identity x). - exact (λ x y z fg, pr2 fg · pr1 fg). - exact (λ x y f _, f). - exact (λ x y f, f tt). Defined.
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.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Categories.HSET.All. Require Import UniMath.CategoryTheory.EnrichedCats.Enrichment. Require Import UniMath.CategoryTheory.EnrichedCats.EnrichmentFunctor. Require Import UniMath.CategoryTheory.EnrichedCats.EnrichmentTransformation. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Examples.SetCartesianMonoidal. Import MonoidalNotations.