Definition is_equalizer_enriched_to_Equalizer {a : enriched_equalizer_cone} (Ha : is_equalizer_enriched a) (w : C) : Equalizer (postcomp_arr E w f) (postcomp_arr E w g). Proof. use make_Equalizer. - exact (E ⦃ w , a ⦄). - exact (postcomp_arr E w (enriched_equalizer_cone_pr a)). - exact (postcomp_eq_from_equalizer_cone a w). - exact (Ha w). 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. Import MonoidalNotations. Section EqualizersFromUnderlying. End EqualizersFromUnderlying.