def ecb_rt.tdes

bend-osdev-crypto@0.1.0.0 · PROOF.bend:827

import Base
import bend-osdev-legacy-ciphers@0.1.0.0/legacy_ciphers.bend as L
import bend-osdev-legacy-ciphers@0.1.0.0/tdes.bend as T
import bend-osdev-legacy-ciphers@0.1.0.0/LAWS.bend as LL
import bend-osdev-crypto@0.1.0.0/modes.bend as Md

827def ecb_rt.tdes(+k: T.LcTdesKey, bs: List<&2, L.LcBlock64>) -> {bs == Md.cr.ecb(~T.LcTdesKey, ~L.LcBlock64, ~T.LcTdes.decrypt, k, Md.cr.ecb(~T.LcTdesKey, ~L.LcBlock64, ~T.LcTdes.encrypt, k, bs)) : List<&2, L.LcBlock64>}:
828  match bs:
829    case Nil{}:
830      {==}
831    case Con{b, t}:
832      %Equal.sym(L.LcBlock64, T.LcTdes.decrypt(k, T.LcTdes.encrypt(k, b)), b, LL.tdes_round_trip(k, b)) : {Con{b, t} == Con{_, Md.cr.ecb(~T.LcTdesKey, ~L.LcBlock64, ~T.LcTdes.decrypt, k, Md.cr.ecb(~T.LcTdesKey, ~L.LcBlock64, ~T.LcTdes.encrypt, k, t))} : List<&2, L.LcBlock64>}
833      %ecb_rt.tdes(k, t) : {Con{b, t} == Con{b, _} : List<&2, L.LcBlock64>}
834      {==}