PROOF.cbc_rt.serpent: def of bend-osdev-crypto@0.1.0.0
Import: import bend-osdev-crypto@0.1.0.0/PROOF.bend as PROOF
Lines 1046-1054 of bend-osdev-crypto@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-crypto@0.1.0.0/PROOF.bend&start_line=1046&end_line=1054

import Base
import bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend as M
import bend-osdev-legacy-ciphers@0.1.0.0/serpent.bend as Sp
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_cm.bend as CM

def cbc_rt.serpent(+k: Sp.LcSerpentKey, bs: List<&2, M.CmBlock>, +iv: M.CmBlock) -> {bs == Md.cr.cbc.dec(~Sp.LcSerpentKey, ~M.CmBlock, ~Sp.LcSerpent.decrypt, ~CM.CrBlk128.xor, k, Md.cr.cbc.enc(~Sp.LcSerpentKey, ~M.CmBlock, ~Sp.LcSerpent.encrypt, ~CM.CrBlk128.xor, k, bs, iv), iv) : List<&2, M.CmBlock>}:
  match bs:
    case Nil{}:
      {==}
    case Con{+p, t}:
      %Equal.sym(M.CmBlock, Sp.LcSerpent.decrypt(k, Sp.LcSerpent.encrypt(k, CM.CrBlk128.xor(p, iv))), CM.CrBlk128.xor(p, iv), LL.serpent_round_trip(k, CM.CrBlk128.xor(p, iv))) : {Con{p, t} == Con{CM.CrBlk128.xor(_, iv), Md.cr.cbc.dec(~Sp.LcSerpentKey, ~M.CmBlock, ~Sp.LcSerpent.decrypt, ~CM.CrBlk128.xor, k, Md.cr.cbc.enc(~Sp.LcSerpentKey, ~M.CmBlock, ~Sp.LcSerpent.encrypt, ~CM.CrBlk128.xor, k, t, Sp.LcSerpent.encrypt(k, CM.CrBlk128.xor(p, iv))), Sp.LcSerpent.encrypt(k, CM.CrBlk128.xor(p, iv)))} : List<&2, M.CmBlock>}
      %cmblock_xx(p, iv) : {Con{p, t} == Con{_, Md.cr.cbc.dec(~Sp.LcSerpentKey, ~M.CmBlock, ~Sp.LcSerpent.decrypt, ~CM.CrBlk128.xor, k, Md.cr.cbc.enc(~Sp.LcSerpentKey, ~M.CmBlock, ~Sp.LcSerpent.encrypt, ~CM.CrBlk128.xor, k, t, Sp.LcSerpent.encrypt(k, CM.CrBlk128.xor(p, iv))), Sp.LcSerpent.encrypt(k, CM.CrBlk128.xor(p, iv)))} : List<&2, M.CmBlock>}
      %cbc_rt.serpent(k, t, Sp.LcSerpent.encrypt(k, CM.CrBlk128.xor(p, iv))) : {Con{p, t} == Con{p, _} : List<&2, M.CmBlock>}
      {==}

Uses (11):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend&name=CmBlock
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/PROOF.bend&name=cmblock_xx
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/inst_cm.bend&name=CrBlk128.xor
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/modes.bend&name=cr.cbc.dec
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/modes.bend&name=cr.cbc.enc
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/LAWS.bend&name=serpent_round_trip
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/serpent.bend&name=LcSerpent.decrypt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/serpent.bend&name=LcSerpent.encrypt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/serpent.bend&name=LcSerpentKey