Definition functor_set_enrichment : functor_enrichment F (set_enrichment C₁) (set_enrichment C₂). Proof. simple refine (_ ,, _). - exact (λ x y f, #F f). - repeat split. + abstract (intro x ; cbn ; use funextsec ; intro ; apply functor_id). + abstract (intros x y f ; cbn ; use funextsec ; intro ; apply functor_comp). 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.