∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] [inst_2 : CategoryTheory.Limits.HasZeroObject C]
  [inst_3 : CategoryTheory.Limits.HasZeroObject D] [inst_4 : CategoryTheory.Preadditive C]
  [inst_5 : CategoryTheory.Preadditive D] [inst_6 : CategoryTheory.HasShift C ℤ] [inst_7 : CategoryTheory.HasShift D ℤ]
  [inst_8 : ∀ (n : ℤ), (CategoryTheory.shiftFunctor C n).Additive]
  [inst_9 : ∀ (n : ℤ), (CategoryTheory.shiftFunctor D n).Additive] [inst_10 : CategoryTheory.Pretriangulated C]
  [inst_11 : CategoryTheory.Pretriangulated D] {F : CategoryTheory.Functor C D} {G : CategoryTheory.Functor D C}
  (adj : F ⊣ G) [inst_12 : F.CommShift ℤ] [inst_13 : G.CommShift ℤ] [adj.CommShift ℤ] {E : Type u_3}
  [inst_15 : CategoryTheory.Category.{v_3, u_3} E] {F' : CategoryTheory.Functor D E} {G' : CategoryTheory.Functor E D}
  (adj' : F' ⊣ G') [inst_16 : CategoryTheory.Limits.HasZeroObject E] [inst_17 : CategoryTheory.Preadditive E]
  [inst_18 : CategoryTheory.HasShift E ℤ] [inst_19 : ∀ (n : ℤ), (CategoryTheory.shiftFunctor E n).Additive]
  [inst_20 : CategoryTheory.Pretriangulated E] [inst_21 : F'.CommShift ℤ] [inst_22 : G'.CommShift ℤ] [adj'.CommShift ℤ]
  [adj.IsTriangulated] [adj'.IsTriangulated], (adj.comp adj').IsTriangulated