Definition enriched_functor_comp_data {P Q R : enriched_precat} (F : enriched_functor_data P Q) (G : enriched_functor_data Q R) : enriched_functor_data P R. Proof. use make_enriched_functor_data. - exact (λ x, G (F x)). - intros x y; cbn. refine (_ · (enriched_functor_on_morphisms G (F x) (F y))). apply (enriched_functor_on_morphisms F). 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.Monoidal.Categories. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.Core.Isos. Import MonoidalNotations.