fact: Definition isKernel {x y z : C} (f : x --> y) (g : y --> z) (H : f · g = ZeroArrow Z x z) : UU := ∏ (w : C) (h : w --> y) (H : h · g = ZeroArrow Z w z), ∃! φ : w --> x, φ · f = h.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Monics UniMath.CategoryTheory.Limits.Equalizers UniMath.CategoryTheory.Limits.Zero