∀ {Γ : Type u_3} {Γ' : Type u_1} {R : Type u_2} [inst : PartialOrder Γ] [inst_1 : Zero R] [inst_2 : PartialOrder Γ']
  (f : Γ ↪o Γ') (x : HahnSeries Γ R),
  (Function.support fun b => if h : b ∈ ⇑f '' x.support then x.coeff (Classical.choose h) else 0).IsPWO