proposition: Lemma nth'_nth {A} n ls (default : A) : nth' n ls default = nth n ls default.
proof: Proof. change (nth'_helper n ls default 0 = nth n ls default). rewrite nth'_helper_nth by omega. f_equal; omega. Qed.
imports: Fiat.Common.Coq__8_4__8_5__Compat Coq.ZArith.ZArith Coq.Lists.List Coq.Lists.SetoidList Coq.Bool.Bool Fiat.Common Fiat.Common.List.Operations Fiat.Common.Equality Fiat.Common.List.FlattenList Fiat.Common.LogicFacts