∀ {G : Type u_1} [inst : Group G] (N : Subgroup G) [nN : N.Normal],
  autoParam
    (∀ (n : ℕ) (a : G ⧸ N),
      QuotientGroup.Quotient.group._aux_9 N (↑n.succ) a = QuotientGroup.Quotient.group._aux_9 N (↑n) a * a)
    DivInvMonoid.zpow_succ'._autoParam