Definition enrichment_coequalizers {V : monoidal_cat} {C : category} (E : enrichment C V) : UU := ∏ (x y : C) (f g : x --> y), ∑ (a : enriched_coequalizer_cocone E f g), is_coequalizer_enriched E f g 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.Equalizers. Require Import UniMath.CategoryTheory.Limits.Coequalizers. Import MonoidalNotations. Section CoequalizersFromUnderlying. End CoequalizersFromUnderlying.