Require Export Coq.Lists.List.
Require Vector.
Definition codeLength : nat -> nat :=
evalStrongRec 0
(fun n Hrecs : nat =>
switchPR n (S (codeNth (n - S (cPairPi2 (pred n))) Hrecs)) 0).

Lemma codeListRemoveCorrect :
forall (a : nat) (l : list nat),
codeListRemove a (codeList l) = codeList (list_remove nat eq_nat_dec a l).