Definition enriched_coequalizer_cocone_from_iso : enriched_coequalizer_cocone. Proof. refine (make_enriched_coequalizer_cocone b (enriched_from_arr E (enriched_coequalizer_cocone_in a · h)) _). abstract (rewrite !enriched_to_from_arr ; rewrite !assoc ; apply maponpaths_2 ; exact (enriched_coequalizer_cocone_eq a)). 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.Equalizers. Require Import UniMath.CategoryTheory.Limits.Coequalizers. Import MonoidalNotations. Section CoequalizersFromUnderlying. End CoequalizersFromUnderlying.