fact: Definition make_PDiff {x y : ob A} {a a' : PseudoElem x} (f : x --> y) (H : PEq (PseudoIm a f) (PseudoIm a' f)) (a'' : PseudoElem x) (H' : a'' · f = ZeroArrow (to_Zero A) _ _) (H'' : ∏ (z : ob A) (g : x --> z), a · g = ZeroArrow (to_Zero A) _ _ -> PEq (PseudoIm a' g) (PseudoIm a'' g)) : PDiff f H := (a'',,(H',,H'')).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.Algebra.BinaryOperations UniMath.Algebra.Monoids UniMath.CategoryTheory.Limits.Zero UniMath.CategoryTheory.Limits.Pushouts UniMath.CategoryTheory.Limits.Pullbacks UniMath.CategoryTheory.Limits.Equalizers UniMath.CategoryTheory.Limits.Coequalizers UniMath.CategoryTheory.Limits.Opp UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Morphisms UniMath.CategoryTheory.CategoriesWithBinOps UniMath.CategoryTheory.PrecategoriesWithAbgrops UniMath.CategoryTheory.PreAdditive UniMath.CategoryTheory.Additive UniMath.CategoryTheory.Abelian UniMath.CategoryTheory.AbelianToAdditive UniMath.CategoryTheory.AbelianPushoutPullback UniMath.CategoryTheory.ShortExactSequences UniMath.CategoryTheory.Monics UniMath.CategoryTheory.Epis UniMath.CategoryTheory.Limits.Kernels UniMath.CategoryTheory.Limits.Cokernels UniMath.CategoryTheory.Limits.BinDirectSums