∀ {α : Type u_1} [inst : Group α] [inst_1 : DecidableEq α] [inst_2 : Fintype α],
  (∀ (n : ℕ), 0 < n → {a | a ^ n = 1}.card ≤ n) →
    ∀ {d : ℕ}, d ∣ Fintype.card α → 0 < {a | orderOf a = d}.card → {a | orderOf a = d}.card = d.totient