fact: Definition CohomologyComplexIso_Mor6 (C : Complex (AbelianToAdditive A)) (i : hz) : let φ1 := KernelArrow (Kernel (Diff C i)) in let φ2 := CokernelArrow (Cokernel (transportf (precategory_morphisms (C (i - 1))) (maponpaths C (hzrminusplus i 1)) (Diff C (i - 1)))) in let K4 := make_Kernel _ _ _ (CohomologyComplexIso_isKernel_Eq C i) (CohomologyComplexIso_isKernel C i) in iso (CoImage (φ1 · φ2)) (Cokernel (KernelArrow K4)) := let φ1 := KernelArrow (Kernel (Diff C i)) in let φ2 := CokernelArrow (Cokernel (transportf (precategory_morphisms (C (i - 1))) (maponpaths C (hzrminusplus i 1)) (Diff C (i - 1)))) in let K4 := make_Kernel _ _ _ (CohomologyComplexIso_isKernel_Eq C i) (CohomologyComplexIso_isKernel C i) in CohomologyComplexIso_CokerKerIso _ K4 (CoImage (φ1 · φ2)) (Cokernel (KernelArrow K4)).
imports: UniMath.Foundations.UnivalenceAxiom UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.Foundations.NaturalNumbers UniMath.Algebra.BinaryOperations UniMath.Algebra.Monoids UniMath.Algebra.Groups UniMath.NumberSystems.Integers UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.TransportMorphisms 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.BinDirectSums UniMath.CategoryTheory.Monics UniMath.CategoryTheory.Epis UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.CategoriesWithBinOps UniMath.CategoryTheory.PrecategoriesWithAbgrops UniMath.CategoryTheory.PreAdditive UniMath.CategoryTheory.Additive UniMath.CategoryTheory.Abelian UniMath.CategoryTheory.AbelianToAdditive UniMath.CategoryTheory.AdditiveFunctors UniMath.HomologicalAlgebra.Complexes UniMath.HomologicalAlgebra.KA