∀ {C : Type u_4} {D : Type u_2} [inst : CategoryTheory.Category.{u_3, u_4} C]
  [inst_1 : CategoryTheory.Category.{u_1, u_2} D] [inst_2 : CategoryTheory.Preadditive C]
  [inst_3 : CategoryTheory.Limits.HasBinaryBiproducts C] [inst_4 : CategoryTheory.Preadditive D]
  [inst_5 : CategoryTheory.Limits.HasBinaryBiproducts D] {K L : CochainComplex C ℤ} (φ : K ⟶ L)
  (G : CategoryTheory.Functor C D) [inst_6 : G.Additive],
  CategoryTheory.CategoryStruct.comp
      ((G.mapHomologicalComplex (ComplexShape.up ℤ)).mapTriangle.obj (CochainComplex.mappingCone.triangle φ)).mor₃
      ((CategoryTheory.shiftFunctor (HomologicalComplex D (ComplexShape.up ℤ)) 1).map
        (CategoryTheory.Iso.refl
            ((G.mapHomologicalComplex (ComplexShape.up ℤ)).mapTriangle.obj
                (CochainComplex.mappingCone.triangle φ)).obj₁).hom) =
    CategoryTheory.CategoryStruct.comp (CochainComplex.mappingCone.mapHomologicalComplexIso φ G).hom
      (CochainComplex.mappingCone.triangle ((G.mapHomologicalComplex (ComplexShape.up ℤ)).map φ)).mor₃