∀ {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 L₁ : HomologicalComplex C₁ c₁} {K₂ L₂ : HomologicalComplex C₂ c₂}
  (f₁ : K₁ ⟶ L₁) (f₂ : K₂ ⟶ L₂) (F : CategoryTheory.Functor C₁ (CategoryTheory.Functor C₂ D))
  [inst_6 : F.PreservesZeroMorphisms] [inst_7 : ∀ (X₁ : C₁), (F.obj X₁).PreservesZeroMorphisms] (c : ComplexShape J)
  [inst_8 : TotalComplexShape c₁ c₂ c] [inst_9 : K₁.HasMapBifunctor K₂ F c] [inst_10 : L₁.HasMapBifunctor L₂ F c]
  [inst_11 : DecidableEq J] (i₁ : I₁) (i₂ : I₂) (j : J) (h : c₁.π c₂ c (i₁, i₂) = j),
  CategoryTheory.CategoryStruct.comp (K₁.ιMapBifunctor K₂ F c i₁ i₂ j h)
      ((HomologicalComplex.mapBifunctorMap f₁ f₂ F c).f j) =
    CategoryTheory.CategoryStruct.comp ((F.map (f₁.f i₁)).app (K₂.X i₂))
      (CategoryTheory.CategoryStruct.comp ((F.obj (L₁.X i₁)).map (f₂.f i₂)) (L₁.ιMapBifunctor L₂ F c i₁ i₂ j h))