proposition: Lemma NatIPool_pempty_correct : forall idx, NatIPool_pget NatIPool_pempty idx = None.
proof: Proof. apply empty_o. Qed.
imports: Fiat.Common.Coq__8_4__8_5__Compat Fiat.QueryStructure.Implementation.DataStructures.Bags.BagsInterface Fiat.QueryStructure.Implementation.DataStructures.Bags.BagsProperties Coq.FSets.FMapInterface Coq.FSets.FMapFacts Coq.FSets.FMapAVL Coq.Structures.OrderedTypeEx