Ltac eta5 HH :=
let Hnew := fresh in match type of HH with
| ?f = (fun a1 a2 a3 a4 a5 => ?e) =>
assert (forall a1 a2 a3 a4 a5, f a1 a2 a3 a4 a5 = e) as Hnew by (intro; rewrite HH; reflexivity)
end;
clear HH; rename Hnew into HH.

(* Specifications: *)
Lemma mbed_tls_initial_round_sublist: forall s ks,
4 <= Zlength ks ->
mbed_tls_initial_add_round_key s ks = mbed_tls_initial_add_round_key s (sublist 0 4 ks).
Lemma mbed_tls_fround_sublist: forall i s ks,
0 <= i <= Zlength ks - 4 ->
mbed_tls_fround s ks i = mbed_tls_fround s (sublist i (i+4) ks) 0.
Lemma mbed_tls_final_fround_sublist: forall i s ks,
0 <= i <= Zlength ks - 4 ->
mbed_tls_final_fround s ks i = mbed_tls_final_fround s (sublist i (i+4) ks) 0.
Lemma HL_equiv_LL_encryption: forall exp_key plaintext,
Zlength exp_key = 15 ->
(mbed_tls_aes_enc
(map Int.unsigned (state_to_list plaintext))
((blocks_to_Zwords exp_key) ++ (list_repeat (8%nat) 0))
) = output_four_ints_as_bytes (state_to_four_ints (Cipher exp_key plaintext)).