∀ {Γ : Type u_8} {R : Type u_9} [inst : PartialOrder Γ] [inst_1 : AddCommMonoid R] {α : Type u_7}
  (toFun toFun_1 : α → HahnSeries Γ R) (e_toFun : toFun = toFun_1)
  (isPWO_iUnion_support' : (⋃ a, (toFun a).support).IsPWO)
  (finite_co_support' : ∀ (g : Γ), {a | (toFun a).coeff g ≠ 0}.Finite),
  { toFun := toFun, isPWO_iUnion_support' := isPWO_iUnion_support', finite_co_support' := finite_co_support' } =
    { toFun := toFun_1, isPWO_iUnion_support' := ⋯, finite_co_support' := ⋯ }