fact: Definition epis_Pushout_eq1 {x y z : A} (E1 : Epi A x y) (E2 : Epi A x z) (BinCoprod : BinCoproduct (to_Kernels A x y E1) (to_Kernels A x z E2)) (coker : Cokernel (to_Zero A) (BinCoproductArrow BinCoprod (KernelArrow (to_Kernels A x y E1)) (KernelArrow (to_Kernels A x z E2)))) : (KernelArrow (to_Kernels A x y E1)) · CokernelArrow coker = ZeroArrow (to_Zero A) (to_Kernels A x y E1) coker.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.Algebra.Monoids UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Monics UniMath.CategoryTheory.Epis UniMath.CategoryTheory.Limits.Zero UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Equalizers UniMath.CategoryTheory.Limits.Coequalizers UniMath.CategoryTheory.Limits.Kernels UniMath.CategoryTheory.Limits.Cokernels UniMath.CategoryTheory.Limits.Pushouts UniMath.CategoryTheory.Limits.Pullbacks UniMath.CategoryTheory.Limits.Opp UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.CategoriesWithBinOps UniMath.CategoryTheory.PrecategoriesWithAbgrops UniMath.CategoryTheory.PreAdditive