Definition CokernelPath {x y : C} {f f' : x --> y} (e : f = f') (CK : Cokernel Z f) : Cokernel Z f'. Proof. use make_Cokernel. - exact CK. - use CokernelArrow. - exact (CokernelPath_eq e CK). - exact (CokernelPath_isCokernel e 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.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.