Definition iso_from_Kernel_to_Kernel {y z : C} {g : y --> z} (K K' : Kernel g) : z_iso K K' := make_z_iso (from_Kernel_to_Kernel K K') (from_Kernel_to_Kernel K' K) (are_inverses_from_Kernel_to_Kernel K K').
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.Monics. Require Import UniMath.CategoryTheory.Limits.Equalizers. Require Import UniMath.CategoryTheory.Limits.Zero. isKernel (ZeroArrowFrom x) (identity x) (ArrowsFromZero C Z x (ZeroArrowFrom x · identity x) (ZeroArrow Z Z x)). - exact (ZeroArrowFrom x). - use ArrowsFromZero.