Definition Cokernel_up_to_iso2_isCoequalizer {x y z : C} (f1 : x --> z) (f2 : y --> z) (h : z_iso y x) (H : h · f1 = f2) (CK : Cokernel Z f1) : isCokernel Z f2 (CokernelArrow CK) (Cokernel_up_to_iso2_eq f1 f2 h H CK).
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.