∀ {ι : Type u_1} (c : ComplexShape ι) (hc : ∀ (j : ι), ∃ i, c.Rel i j) (C : Type u_4)
  [inst : CategoryTheory.Category.{u_2, u_4} C] [inst_1 : CategoryTheory.Preadditive C]
  [inst_2 : CategoryTheory.Limits.HasBinaryBiproducts C] (E : Type u_5) [inst_3 : CategoryTheory.Category.{u_3, u_5} E]
  (x : CategoryTheory.Functor (HomologicalComplex C c) E)
  (x_1 : (HomologicalComplex.homotopyEquivalences C c).IsInvertedBy x),
  (HomotopyCategory.quotient C c).comp (CategoryTheory.Quotient.lift (homotopic C c) x ⋯) =
    (HomotopyCategory.quotient C c).comp (CategoryTheory.Quotient.lift (homotopic C c) x ⋯)