∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Limits.HasZeroObject C]
  [inst_2 : CategoryTheory.HasShift C ℤ] [inst_3 : CategoryTheory.Preadditive C]
  [inst_4 : ∀ (n : ℤ), (CategoryTheory.shiftFunctor C n).Additive] [inst_5 : CategoryTheory.Pretriangulated C]
  (P : CategoryTheory.ObjectProperty C) [inst_6 : P.IsTriangulated]
  (T : CategoryTheory.Pretriangulated.Triangle P.FullSubcategory),
  P.ι.mapTriangle.obj T ∈ CategoryTheory.Pretriangulated.distinguishedTriangles ↔
    T.rotate ∈ fun T => P.ι.mapTriangle.obj T ∈ CategoryTheory.Pretriangulated.distinguishedTriangles