Definition Kernel_up_to_iso2_isKernel {x y z : C} (f1 : x --> y) (f2 : x --> z) (h : z_iso y z) (H : f1 · h = f2) (K : Kernel Z f1) : isKernel Z (KernelArrow K) f2 (Kernel_up_to_iso2_eq h H 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.