Definition change_of_base_enriched_functor_data {A B : enriched_precat Mon_V} (G : enriched_functor A B) : enriched_functor_data (change_of_base_enriched_precat A) (change_of_base_enriched_precat B). Proof. use make_enriched_functor_data. + exact G. + intros x y. exact (#F (enriched_functor_on_morphisms G _ _)). 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.Core.Isos. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Functors. Require Import UniMath.CategoryTheory.EnrichedCats.Enriched.Enriched. Import MonoidalNotations.