Implicit Type G P N : {group gT}.Implicit Types P Q H K : {group gT}.Implicit Types (p : nat) (pi : nat_pred) (G H K P R : {group gT}).

(* Specifications: *)
Lemma small_nil_class G : nil_class G <= 5 -> nilpotent G.
Lemma nil_Zgroup_cyclic G : Zgroup G -> nilpotent G -> cyclic G.