Definition is_coprod_enriched (a : enriched_coprod_cocone) : UU := ∏ (w : C), isProduct J V (λ j, E ⦃ D j , w ⦄) (E ⦃ a , w ⦄) (λ j, precomp_arr E w (enriched_coprod_cocone_in a j)).
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.EnrichedCats.Enrichment. Require Import UniMath.CategoryTheory.Limits.Products. Require Import UniMath.CategoryTheory.Limits.Coproducts. Import MonoidalNotations. Section CoproductFromUnderlying. End CoproductFromUnderlying.