Definition equiv_Cokernel2 {a b : C} (f : C⟦a, b⟧) (CK : Limits.Cokernels.Cokernel (equiv_Zero2 Z) f) : Cokernel f. Proof. use make_Coequalizer. - exact CK. - exact (CokernelArrow CK). - exact (equiv_Cokernel2_eq f CK). - exact (equiv_Cokernel2_isCoequalizer f CK). Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Limits.Graphs.Limits. Require Import UniMath.CategoryTheory.Limits.Graphs.Colimits. Require Import UniMath.CategoryTheory.Limits.Graphs.Zero. Require Import UniMath.CategoryTheory.Limits.Graphs.Coequalizers. Require Import UniMath.CategoryTheory.Limits.Cokernels.