Proposition arr_to_copower_commutes {b : C} (f : I_{V} --> v ⊸ (E ⦃ x , b ⦄)) : enriched_from_arr E (arr_to_copower f) · is_copower_enriched_map a b = f. Proof. unfold arr_to_copower. rewrite enriched_from_to_arr. apply mor_to_copower_commutes. 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.