PROOF.ecb_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 774-781 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=774&end_line=781

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

def ecb_rt.des(+k: D.LcDesKey, bs: List<&2, L.LcBlock64>) -> {bs == Md.cr.ecb(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.decrypt, k, Md.cr.ecb(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.encrypt, k, bs)) : List<&2, L.LcBlock64>}:
  match bs:
    case Nil{}:
      {==}
    case Con{b, t}:
      %Equal.sym(L.LcBlock64, D.LcDes.decrypt(k, D.LcDes.encrypt(k, b)), b, LL.des_round_trip(k, b)) : {Con{b, t} == Con{_, Md.cr.ecb(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.decrypt, k, Md.cr.ecb(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.encrypt, k, t))} : List<&2, L.LcBlock64>}
      %ecb_rt.des(k, t) : {Con{b, t} == Con{b, _} : List<&2, L.LcBlock64>}
      {==}

Uses (8):
  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/modes.bend&name=cr.ecb
  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