∀ {ι : Type u_3} {V : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} V]
  [inst_1 : CategoryTheory.Limits.HasZeroMorphisms V] {c : ComplexShape ι} {C₁ C₂ : HomologicalComplex V c}
  (f : (i : ι) → C₁.X i ≅ C₂.X i),
  (∀ (i j : ι),
      c.Rel i j →
        CategoryTheory.CategoryStruct.comp (f i).hom (C₂.d i j) =
          CategoryTheory.CategoryStruct.comp (C₁.d i j) (f j).hom) →
    ∀ (i j : ι),
      c.Rel i j →
        CategoryTheory.CategoryStruct.comp (f i).inv
            (CategoryTheory.CategoryStruct.comp (CategoryTheory.CategoryStruct.comp (C₁.d i j) (f j).hom) (f j).inv) =
          CategoryTheory.CategoryStruct.comp (f i).inv
            (CategoryTheory.CategoryStruct.comp (CategoryTheory.CategoryStruct.comp (f i).hom (C₂.d i j)) (f j).inv)