Definition prod_enriched_to_prod (PV : Products J V) (a : enriched_prod_cone) (w : C) : E ⦃ w, a ⦄ --> PV (λ j, E ⦃ w, D j ⦄). Proof. use ProductArrow. exact (λ j, postcomp_arr E w (enriched_prod_cone_pr a j)). Defined.
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. Import MonoidalNotations. Section ProductFromUnderlying. End ProductFromUnderlying.