∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {W : CategoryTheory.MorphismProperty C} {X Y : C}
  (f : Y ⟶ X) (hf : W f) [inst_1 : CategoryTheory.Localization.HasSmallLocalizedHom W X Y],
  CategoryTheory.Localization.SmallHom.mkInv f hf =
    (CategoryTheory.Localization.SmallHom.equiv W W.Q).symm (CategoryTheory.Localization.isoOfHom W.Q W f hf).inv