Definition from_Equalizer_to_Equalizer {a b : C} {f g : C⟦a, b⟧} (E1 E2 : Equalizer f g) : C⟦lim E1, lim E2⟧. Proof. apply (EqualizerIn E2 (lim E1) (EqualizerArrow E1)). exact (EqualizerArrowEq E1). Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.Combinatorics.StandardFiniteSets. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Limits.Graphs.Limits. Require Import UniMath.CategoryTheory.Limits.Graphs.Colimits. Require Import UniMath.CategoryTheory.Limits.Equalizers.