∀ {C₁ : Type u_1} {C₂ : Type u_2} {D : Type u_3} [inst : CategoryTheory.Category.{v_1, u_1} C₁]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} C₂] [inst_2 : CategoryTheory.Category.{v_3, u_3} D] {I₁ : Type u_4}
  {I₂ : Type u_5} {J : Type u_6} {c₁ : ComplexShape I₁} {c₂ : ComplexShape I₂}
  [inst_3 : CategoryTheory.Limits.HasZeroMorphisms C₁] [inst_4 : CategoryTheory.Limits.HasZeroMorphisms C₂]
  [inst_5 : CategoryTheory.Preadditive D] (K₁ K₁_1 : HomologicalComplex C₁ c₁),
  K₁ = K₁_1 →
    ∀ (K₂ K₂_1 : HomologicalComplex C₂ c₂),
      K₂ = K₂_1 →
        ∀ (F F_1 : CategoryTheory.Functor C₁ (CategoryTheory.Functor C₂ D)) (e_F : F = F_1)
          [inst_6 : F.PreservesZeroMorphisms] [inst_7 : ∀ (X₁ : C₁), (F.obj X₁).PreservesZeroMorphisms]
          (c : ComplexShape J) [inst_8 : TotalComplexShape c₁ c₂ c],
          K₁.HasMapBifunctor K₂ F c = K₁_1.HasMapBifunctor K₂_1 F_1 c