∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  (W : CategoryTheory.MorphismProperty C) {M : Type w'} [inst_2 : AddMonoid M] [inst_3 : CategoryTheory.HasShift C M]
  [inst_4 : CategoryTheory.HasShift D M] (L : CategoryTheory.Functor C D) [inst_5 : L.IsLocalization W]
  [inst_6 : L.CommShift M] {X Y : C} [inst_7 : CategoryTheory.Localization.HasSmallLocalizedShiftedHom W M X Y] {m : M},
  CategoryTheory.Localization.SmallShiftedHom.equiv W L = CategoryTheory.Localization.SmallShiftedHom.equiv W L