Definition enriched_functor_comp_ax : UU := ∏ a b c : enriched_cat_ob D, enriched_cat_comp a b c · enriched_functor_on_morphisms F a c = (enriched_functor_on_morphisms F b c) #⊗ (enriched_functor_on_morphisms F a b) · enriched_cat_comp _ _ _.
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.