def cbc_rt.tea

bend-osdev-crypto@0.1.0.0 · PROOF.bend:1456

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/tea.bend as Te
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
import bend-osdev-crypto@0.1.0.0/inst_lc.bend as LC

1456def cbc_rt.tea(+k: Te.LcTeaKey, bs: List<&2, L.LcBlock64>, +iv: L.LcBlock64) -> {bs == Md.cr.cbc.dec(~Te.LcTeaKey, ~L.LcBlock64, ~Te.LcTea.decrypt, ~LC.CrBlk64.xor, k, Md.cr.cbc.enc(~Te.LcTeaKey, ~L.LcBlock64, ~Te.LcTea.encrypt, ~LC.CrBlk64.xor, k, bs, iv), iv) : List<&2, L.LcBlock64>}:
1457  match bs:
1458    case Nil{}:
1459      {==}
1460    case Con{+p, t}:
1461      %Equal.sym(L.LcBlock64, Te.LcTea.decrypt(k, Te.LcTea.encrypt(k, LC.CrBlk64.xor(p, iv))), LC.CrBlk64.xor(p, iv), LL.tea_round_trip(k, LC.CrBlk64.xor(p, iv))) : {Con{p, t} == Con{LC.CrBlk64.xor(_, iv), Md.cr.cbc.dec(~Te.LcTeaKey, ~L.LcBlock64, ~Te.LcTea.decrypt, ~LC.CrBlk64.xor, k, Md.cr.cbc.enc(~Te.LcTeaKey, ~L.LcBlock64, ~Te.LcTea.encrypt, ~LC.CrBlk64.xor, k, t, Te.LcTea.encrypt(k, LC.CrBlk64.xor(p, iv))), Te.LcTea.encrypt(k, LC.CrBlk64.xor(p, iv)))} : List<&2, L.LcBlock64>}
1462      %lcblock64_xx(p, iv) : {Con{p, t} == Con{_, Md.cr.cbc.dec(~Te.LcTeaKey, ~L.LcBlock64, ~Te.LcTea.decrypt, ~LC.CrBlk64.xor, k, Md.cr.cbc.enc(~Te.LcTeaKey, ~L.LcBlock64, ~Te.LcTea.encrypt, ~LC.CrBlk64.xor, k, t, Te.LcTea.encrypt(k, LC.CrBlk64.xor(p, iv))), Te.LcTea.encrypt(k, LC.CrBlk64.xor(p, iv)))} : List<&2, L.LcBlock64>}
1463      %cbc_rt.tea(k, t, Te.LcTea.encrypt(k, LC.CrBlk64.xor(p, iv))) : {Con{p, t} == Con{p, _} : List<&2, L.LcBlock64>}
1464      {==}