Definition stream_dummy (result: string) (n: nat) : option bool :=
  let hex := bytesToBits (hexstring_to_Zlist result) in
  if nth_ok n hex false then Some (nth n hex false)
  else None.Definition get_nonce_dummy (result: string) (_: unit) := hexstring_to_Zlist result.Fixpoint DRBG_generate_check (state_handle: DRBG_state_handle) (internal_states: list (string * string * string * string)) (returned_bits: string) :=
  match internal_states with
    | [] => True
    | (key, v, additional_input, entropy_input_reseed)::[] =>
      let test_HMAC256_DRBG_reseed_function := HMAC256_DRBG_reseed_function 32 32 256 in
      let test_HMAC256_DRBG_generate_function := HMAC256_DRBG_generate_function test_HMAC256_DRBG_reseed_function 1024 128 128 in
      let key := hexstring_to_Zlist key in
      let value := hexstring_to_Zlist v in
      let additional_input := hexstring_to_Zlist additional_input in
      let returned_bits := hexstring_to_Zlist returned_bits in
      match test_HMAC256_DRBG_generate_function (stream_dummy entropy_input_reseed) state_handle 128 256 true additional_input with
        | ENTROPY.success (returned_bits', ((value', key', _), _, _)) _ => listZ_eq value value' = true /\ listZ_eq key key' = true /\ listZ_eq returned_bits returned_bits' = true
        | ENTROPY.error _ _ => False
      end
    | (key, v, additional_input, entropy_input_reseed)::tl =>
      let test_HMAC256_DRBG_reseed_function := HMAC256_DRBG_reseed_function 32 32 256 in
      let test_HMAC256_DRBG_generate_function := HMAC256_DRBG_generate_function test_HMAC256_DRBG_reseed_function 1024 128 128 in
      let key := hexstring_to_Zlist key in
      let value := hexstring_to_Zlist v in
      let additional_input := hexstring_to_Zlist additional_input in
      match test_HMAC256_DRBG_generate_function (stream_dummy entropy_input_reseed) state_handle 128 256 true additional_input with
        | ENTROPY.success (_, ((value', key', x), y, z)) _ => listZ_eq value value' = true /\ listZ_eq key key' = true /\ DRBG_generate_check ((value', key', x), y, z) tl returned_bits
        | ENTROPY.error _ _ => False
      end
  end.Definition DRBG_check (entropy_input nonce key value personalization_string: string) (internal_states: list (string * string * string * string)) (returned_bits: string) :=
  let key := hexstring_to_Zlist key in
  let value := hexstring_to_Zlist value in
  let personalization_string := hexstring_to_Zlist personalization_string in
  match HMAC256_DRBG_instantiate_function 32 32 (get_nonce_dummy nonce) 256 256 true (stream_dummy entropy_input) 256 true personalization_string with
    | ENTROPY.success ((value', key', x), y, z) _ => listZ_eq value value' = true /\ listZ_eq key key' = true /\ DRBG_generate_check ((value', key', x), y, z) internal_states returned_bits
    | _ => False
  end.

Lemma test_with_additional_input0: DRBG_check "2cad88b2b6a06e703de46185ccb2ddcf5e0ee030995ebdf95cc4fbc38441f17f" "32310770e04172c0cf91f6590cce44a4" "bef6a1ebb29164bc4d7ae6ca2d5a02d619b91dd0d88147e7e87454898ce99338" "6f78b5982fef43f09bd7096ecc3aa02a5c3a4dbf71e17341ff3814bbc5dcddd2" "" [ ("bc4186dc24c4b64d8c094c79c7605ae9a3ce6a9e6cdb071a766897c8df302e4c"%string, "5f1aa99b991e37d7ffa7e6779d36b8295976a26ff13efaf72fe90f30a2d16aff"%string, "ef6da5e6530e0d621749ab192e06327e995c3ac0c3963ab8c8cd2df2839ab5df"%string, "448bfbc5ce9e3b9da3e9642daecd994dfe373e75253e8eb585141224eca7ad7b"%string); ("2afc9c4d27f850d0f982499199af67d0c20d324ebf9260fb021d377861ef257e"%string, "c5beeb04e4bfae254053c26d1ef0ff637da4873e7488fc08ab5660142a6311ae"%string, "44278b31ed853f0a510bd14650ac4b4971d8b426799a43511d016be68dedbb8d"%string, "afb57f69799c0b892b3015990e133698d543aa87829ace868e4a5e9525d62357"%string) ] "4c7dfbe509dc5a3ac26998723c6a44cad20b197fc86117c778d1568ab828923862885e97198f77a1cb45113f5d78726a0f120aec94afc45f57c8dcc1cb092b343480012858ef5bc559f57023442209326ec4a54d91ca3a77dfdf9e75f117cef50e6fd2dc9af6ddce8e6515b4a97357a97b6cd274f68a042fa41bbd7b7261b034"%string.