Definition Succ_e : Cobham :=
Comp 1 (Succ true) [Proj 1 0].
Opaque Succ_e.
Fixpoint Nat_e (n:nat) : Cobham :=
match n with
| 0 => Zero
| S n' => Comp 0 Succ_e [Nat_e n']
end.

Lemma rec_bounded_Nat n :
rec_bounded (Nat_e n).