Definition ListToCP {T : Type} (l : list T) (Default : T) : cartesianPower T (length l).Fixpoint circPermNCP {T:Type} {m:nat} (n : nat) (cp : cartesianPower T (S (S m))) :=
  match n with
  | 0 => cp
  | S p => circPermNCP p (consTailCP (tailCP cp) (headCP cp))
  end.

Lemma CPCPL {T : Type} : forall (a : T) l (cp1 : cartesianPower T (length (a :: l))) (cp2 : cartesianPower T (S(length l))), cp1 = cp2 -> CPToList cp1 = CPToList cp2.