Definition change_of_base_enriched_precat_data (A : enriched_precat Mon_V) : enriched_precat_data Mon_V'. Proof. use make_enriched_precat_data. - exact A. - intros x y. exact (F (enriched_cat_mor x y)). - intro x. exact (mon_functor_unit F · #F (enriched_cat_identity _)). - intros x y z. exact (mon_functor_tensor F _ _ · #F (enriched_cat_comp _ y _)). 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.