Definition Cokernel_up_to_iso {x y z : C} (f : x --> y) (g : y --> z) (CK : Cokernel Z f) (h : z_iso CK z) (H : g = (CokernelArrow CK) · h) : Cokernel Z f := make_Cokernel Z f g (Cokernel_up_to_iso_eq f g CK h H) (Cokernel_up_to_iso_isCokernel f g CK h H (Cokernel_up_to_iso_eq f g CK h H)).
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.Core.Isos. Require Import UniMath.CategoryTheory.Epis. Require Import UniMath.CategoryTheory.Limits.Coequalizers. Require Import UniMath.CategoryTheory.Limits.Zero. - exact (ZeroArrowFrom w). - intros y X. cbn in X. use ArrowsFromZero.