{R : Type u_1} →
  {M : Type u_2} →
    [inst : Semiring R] →
      [inst_1 : AddCommMonoid M] →
        [inst_2 : Module R M] →
          {motive : IsNoetherian R M → Sort u} →
            (t : IsNoetherian R M) → ((noetherian : ∀ (s : Submodule R M), s.FG) → motive ⋯) → motive t