Proposition arr_to_copower_eq {b : C} {f g : a --> b} (p : enriched_from_arr E f · is_copower_enriched_map a b = enriched_from_arr E g · is_copower_enriched_map a b) : f = g. Proof. refine (!(enriched_to_from_arr E _) @ _ @ enriched_to_from_arr E _). apply maponpaths. use mor_to_copower_eq. exact p. Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Structure.Symmetric. Require Import UniMath.CategoryTheory.Monoidal.Structure.Closed. Require Import UniMath.CategoryTheory.EnrichedCats.Enrichment. Import MonoidalNotations.