∀ {M : Type u_1} [inst : CommMonoidWithZero M] {m : M} (motive : ↑(Set.Iic (Associates.mk m)) → Prop)
  (x : ↑(Set.Iic (Associates.mk m))),
  (∀ (l : Associates M) (hl : l ∈ Set.Iic (Associates.mk m)), motive ⟨l, hl⟩) → motive x