∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Abelian C] {X : C}
  (I : CategoryTheory.InjectiveResolution X),
  Homotopy
      (CategoryTheory.InjectiveResolution.desc
        (CategoryTheory.CategoryStruct.comp (CategoryTheory.CategoryStruct.id X) (CategoryTheory.CategoryStruct.id X)) I
        I)
      (CategoryTheory.CategoryStruct.id I.cocomplex) =
    Homotopy (CategoryTheory.InjectiveResolution.desc (CategoryTheory.CategoryStruct.id X) I I)
      (CategoryTheory.CategoryStruct.id I.cocomplex)