∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u_1} [inst_1 : CategoryTheory.Category.{v_1, u_1} D]
  [inst_2 : CategoryTheory.Abelian C] [inst_3 : CategoryTheory.HasProjectiveResolutions C]
  [inst_4 : CategoryTheory.Abelian D] (F : CategoryTheory.Functor C D) [inst_5 : F.Additive]
  [inst_6 : CategoryTheory.Limits.PreservesFiniteColimits F] (X : C),
  CategoryTheory.CategoryStruct.comp (F.leftDerivedZeroIsoSelf.inv.app X) (F.fromLeftDerivedZero.app X) =
    CategoryTheory.CategoryStruct.id (F.obj X)