∀ (Γ : Type u_1) (R : Type u_2) (κ : Cardinal.{u_1}) [inst : LinearOrder Γ] [inst_1 : AddCommGroup Γ]
  [inst_2 : IsOrderedAddMonoid Γ] [inst_3 : Field R] [hκ : Fact (Cardinal.aleph0 < κ)],
  ∀
    x ∈
      (have this := ⋯;
        HahnSeries.cardSuppLTSubring Γ R κ).carrier,
    x⁻¹.cardSupp < κ