Definition is_binary_coprod_enriched (a : enriched_binary_coprod_cocone) : UU := ∏ (w : C), isBinProduct V (E ⦃ x , w ⦄) (E ⦃ y , w ⦄) (E ⦃ a , w ⦄) (precomp_arr E w (enriched_coprod_cocone_in1 a)) (precomp_arr E w (enriched_coprod_cocone_in2 a)).
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.BinProducts. Require Import UniMath.CategoryTheory.Limits.BinCoproducts. Import MonoidalNotations. Section BinaryCoproductFromUnderlying. End BinaryCoproductFromUnderlying.