Definition change_of_base_enrichment_data : enrichment_data C V₂. Proof. simple refine (_ ,, _ ,, _ ,, _ ,, _). - exact (λ x y, F (E ⦃ x , y ⦄)). - exact (λ x, mon_functor_unit F · #F (enriched_id E x)). - exact (λ x y z, mon_functor_tensor F _ _ · #F (enriched_comp E x y z)). - exact (λ x y f, mon_functor_unit F · #F (enriched_from_arr E f)). - exact (λ x y f, enriched_to_arr E (Fv _ f)). 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.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.Functors. Import MonoidalNotations.