Definition enriched_id_ax : UU := ∏ a b : enriched_cat_ob e, dirprod (enriched_cat_identity b #⊗ (identity _) · enriched_cat_comp a b b = mon_lunitor _) ((identity _ #⊗ enriched_cat_identity a) · enriched_cat_comp a a b = mon_runitor _).
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.