def cbc_rt.des

bend-osdev-crypto@0.1.0.0 · PROOF.bend:788

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/des.bend as D
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

788def cbc_rt.des(+k: D.LcDesKey, bs: List<&2, L.LcBlock64>, +iv: L.LcBlock64) -> {bs == Md.cr.cbc.dec(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.decrypt, ~LC.CrBlk64.xor, k, Md.cr.cbc.enc(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.encrypt, ~LC.CrBlk64.xor, k, bs, iv), iv) : List<&2, L.LcBlock64>}:
789  match bs:
790    case Nil{}:
791      {==}
792    case Con{+p, t}:
793      %Equal.sym(L.LcBlock64, D.LcDes.decrypt(k, D.LcDes.encrypt(k, LC.CrBlk64.xor(p, iv))), LC.CrBlk64.xor(p, iv), LL.des_round_trip(k, LC.CrBlk64.xor(p, iv))) : {Con{p, t} == Con{LC.CrBlk64.xor(_, iv), Md.cr.cbc.dec(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.decrypt, ~LC.CrBlk64.xor, k, Md.cr.cbc.enc(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.encrypt, ~LC.CrBlk64.xor, k, t, D.LcDes.encrypt(k, LC.CrBlk64.xor(p, iv))), D.LcDes.encrypt(k, LC.CrBlk64.xor(p, iv)))} : List<&2, L.LcBlock64>}
794      %lcblock64_xx(p, iv) : {Con{p, t} == Con{_, Md.cr.cbc.dec(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.decrypt, ~LC.CrBlk64.xor, k, Md.cr.cbc.enc(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.encrypt, ~LC.CrBlk64.xor, k, t, D.LcDes.encrypt(k, LC.CrBlk64.xor(p, iv))), D.LcDes.encrypt(k, LC.CrBlk64.xor(p, iv)))} : List<&2, L.LcBlock64>}
795      %cbc_rt.des(k, t, D.LcDes.encrypt(k, LC.CrBlk64.xor(p, iv))) : {Con{p, t} == Con{p, _} : List<&2, L.LcBlock64>}
796      {==}