PROOF.pcbc_rt.des: def of bend-osdev-crypto@0.1.0.0
Import: import bend-osdev-crypto@0.1.0.0/PROOF.bend as PROOF
Lines 803-811 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=803&end_line=811

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/pcbc.bend as Pc
import bend-osdev-crypto@0.1.0.0/inst_lc.bend as LC

def pcbc_rt.des(+k: D.LcDesKey, bs: List<&2, L.LcBlock64>, +iv: L.LcBlock64) -> {bs == Pc.cr.pcbc.dec(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.decrypt, ~LC.CrBlk64.xor, k, Pc.cr.pcbc.enc(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.encrypt, ~LC.CrBlk64.xor, k, bs, iv), iv) : List<&2, L.LcBlock64>}:
  match bs:
    case Nil{}:
      {==}
    case Con{+p, t}:
      %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), Pc.cr.pcbc.dec(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.decrypt, ~LC.CrBlk64.xor, k, Pc.cr.pcbc.enc(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.encrypt, ~LC.CrBlk64.xor, k, t, LC.CrBlk64.xor(p, D.LcDes.encrypt(k, LC.CrBlk64.xor(p, iv)))), LC.CrBlk64.xor(LC.CrBlk64.xor(_, iv), D.LcDes.encrypt(k, LC.CrBlk64.xor(p, iv))))} : List<&2, L.LcBlock64>}
      %lcblock64_xx(p, iv) : {Con{p, t} == Con{_, Pc.cr.pcbc.dec(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.decrypt, ~LC.CrBlk64.xor, k, Pc.cr.pcbc.enc(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.encrypt, ~LC.CrBlk64.xor, k, t, LC.CrBlk64.xor(p, D.LcDes.encrypt(k, LC.CrBlk64.xor(p, iv)))), LC.CrBlk64.xor(_, D.LcDes.encrypt(k, LC.CrBlk64.xor(p, iv))))} : List<&2, L.LcBlock64>}
      %pcbc_rt.des(k, t, LC.CrBlk64.xor(p, D.LcDes.encrypt(k, LC.CrBlk64.xor(p, iv)))) : {Con{p, t} == Con{p, _} : List<&2, L.LcBlock64>}
      {==}

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-crypto@0.1.0.0/PROOF.bend&name=lcblock64_xx
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/inst_lc.bend&name=CrBlk64.xor
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/pcbc.bend&name=cr.pcbc.dec
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/pcbc.bend&name=cr.pcbc.enc
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/LAWS.bend&name=des_round_trip
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/des.bend&name=LcDes.decrypt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/des.bend&name=LcDes.encrypt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/des.bend&name=LcDesKey
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/legacy_ciphers.bend&name=LcBlock64