def cbc_rt.fcrypt

bend-osdev-crypto@0.1.0.0 · PROOF.bend:1562

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/fcrypt.bend as Fc
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

1562def cbc_rt.fcrypt(+k: Fc.LcFcryptKey, bs: List<&2, L.LcBlock64>, +iv: L.LcBlock64) -> {bs == Md.cr.cbc.dec(~Fc.LcFcryptKey, ~L.LcBlock64, ~Fc.LcFcrypt.decrypt, ~LC.CrBlk64.xor, k, Md.cr.cbc.enc(~Fc.LcFcryptKey, ~L.LcBlock64, ~Fc.LcFcrypt.encrypt, ~LC.CrBlk64.xor, k, bs, iv), iv) : List<&2, L.LcBlock64>}:
1563  match bs:
1564    case Nil{}:
1565      {==}
1566    case Con{+p, t}:
1567      %Equal.sym(L.LcBlock64, Fc.LcFcrypt.decrypt(k, Fc.LcFcrypt.encrypt(k, LC.CrBlk64.xor(p, iv))), LC.CrBlk64.xor(p, iv), LL.fcrypt_round_trip(k, LC.CrBlk64.xor(p, iv))) : {Con{p, t} == Con{LC.CrBlk64.xor(_, iv), Md.cr.cbc.dec(~Fc.LcFcryptKey, ~L.LcBlock64, ~Fc.LcFcrypt.decrypt, ~LC.CrBlk64.xor, k, Md.cr.cbc.enc(~Fc.LcFcryptKey, ~L.LcBlock64, ~Fc.LcFcrypt.encrypt, ~LC.CrBlk64.xor, k, t, Fc.LcFcrypt.encrypt(k, LC.CrBlk64.xor(p, iv))), Fc.LcFcrypt.encrypt(k, LC.CrBlk64.xor(p, iv)))} : List<&2, L.LcBlock64>}
1568      %lcblock64_xx(p, iv) : {Con{p, t} == Con{_, Md.cr.cbc.dec(~Fc.LcFcryptKey, ~L.LcBlock64, ~Fc.LcFcrypt.decrypt, ~LC.CrBlk64.xor, k, Md.cr.cbc.enc(~Fc.LcFcryptKey, ~L.LcBlock64, ~Fc.LcFcrypt.encrypt, ~LC.CrBlk64.xor, k, t, Fc.LcFcrypt.encrypt(k, LC.CrBlk64.xor(p, iv))), Fc.LcFcrypt.encrypt(k, LC.CrBlk64.xor(p, iv)))} : List<&2, L.LcBlock64>}
1569      %cbc_rt.fcrypt(k, t, Fc.LcFcrypt.encrypt(k, LC.CrBlk64.xor(p, iv))) : {Con{p, t} == Con{p, _} : List<&2, L.LcBlock64>}
1570      {==}