∀ {Γ : Type u_1} {R : Type u_2} [inst : LinearOrder Γ] [inst_1 : LinearOrder R] [inst_2 : AddCommGroup R]
  {x y : Lex (HahnSeries Γ R)} (motive : (∃ n, |y| ≤ n • |x|) → Prop) (h : ∃ n, |y| ≤ n • |x|),
  (∀ (n : ℕ) (hn : |y| ≤ n • |x|), motive ⋯) → motive h