∀ {ι : Type u_1} {V : Type u} [inst : CategoryTheory.Category.{v, u} V] [inst_1 : CategoryTheory.Preadditive V]
  {c : ComplexShape ι} {C D : HomologicalComplex V c} (hom : C ⟶ D) (inv : D ⟶ C)
  (homotopyHomInvId : Homotopy (CategoryTheory.CategoryStruct.comp hom inv) (CategoryTheory.CategoryStruct.id C))
  (homotopyInvHomId : Homotopy (CategoryTheory.CategoryStruct.comp inv hom) (CategoryTheory.CategoryStruct.id D))
  (hom_1 : C ⟶ D) (inv_1 : D ⟶ C)
  (homotopyHomInvId_1 : Homotopy (CategoryTheory.CategoryStruct.comp hom_1 inv_1) (CategoryTheory.CategoryStruct.id C))
  (homotopyInvHomId_1 : Homotopy (CategoryTheory.CategoryStruct.comp inv_1 hom_1) (CategoryTheory.CategoryStruct.id D)),
  ({ hom := hom, inv := inv, homotopyHomInvId := homotopyHomInvId, homotopyInvHomId := homotopyInvHomId } =
      { hom := hom_1, inv := inv_1, homotopyHomInvId := homotopyHomInvId_1, homotopyInvHomId := homotopyInvHomId_1 }) =
    (hom = hom_1 ∧ inv = inv_1 ∧ homotopyHomInvId ≍ homotopyHomInvId_1 ∧ homotopyInvHomId ≍ homotopyInvHomId_1)