(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
(** [polonius_list] *)
Require Import Primitives.
Import Primitives.
Require Import Coq.ZArith.ZArith.
Require Import List.
Import ListNotations.
Local Open Scope Primitives_scope.
Module PoloniusList.

(** [polonius_list::List] *)
Inductive List_t (T : Type) :=
| ListCons : T -> List_t T -> List_t T
| ListNil : List_t T
.

Arguments ListCons {T} _ _.
Arguments ListNil {T}.

(** [polonius_list::get_list_at_x]: forward function *)
Fixpoint get_list_at_x_fwd (ls : List_t u32) (x : u32) : result (List_t u32) :=
  match ls with
  | ListCons hd tl =>
    if hd s= x then Return (ListCons hd tl) else get_list_at_x_fwd tl x
  | ListNil => Return ListNil
  end
.

(** [polonius_list::get_list_at_x]: backward function 0 *)
Fixpoint get_list_at_x_back
  (ls : List_t u32) (x : u32) (ret : List_t u32) : result (List_t u32) :=
  match ls with
  | ListCons hd tl =>
    if hd s= x
    then Return ret
    else (tl0 <- get_list_at_x_back tl x ret; Return (ListCons hd tl0))
  | ListNil => Return ret
  end
.

End PoloniusList .