Definition to_postmor_monoidfun {PWA : categoryWithAbgrops} (iPA : isPreAdditive PWA) (x y z : PWA) (f : y --> z) : monoidfun (to_abgr x y) (to_abgr x z) := monoidfunconstr (to_postmor_monoid iPA x y z f).
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.Algebra.BinaryOperations. Require Import UniMath.Algebra.Monoids. Require Import UniMath.Algebra.Groups. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Monics. Require Import UniMath.CategoryTheory.Epis. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.CategoriesWithBinOps. Require Import UniMath.CategoryTheory.PrecategoriesWithAbgrops. Require Import UniMath.CategoryTheory.opp_precat. Require Import UniMath.CategoryTheory.Limits.Zero. Require Import UniMath.CategoryTheory.Limits.Kernels. Require Import UniMath.CategoryTheory.Limits.Cokernels. rewrite <- (id_left (ZeroArrowFrom y)). set (Y := to_postmor_unel A Z (@ZeroArrowFrom A Z y)). + exact (to_quot_mor (@ZeroArrowFrom PA Z a)). apply ArrowsFromZero.