PROOF.pcbc_rt.tea: def of bend-osdev-crypto@0.1.0.0
Import: import bend-osdev-crypto@0.1.0.0/PROOF.bend as PROOF
Lines 1471-1479 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=1471&end_line=1479

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/tea.bend as Te
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.tea(+k: Te.LcTeaKey, bs: List<&2, L.LcBlock64>, +iv: L.LcBlock64) -> {bs == Pc.cr.pcbc.dec(~Te.LcTeaKey, ~L.LcBlock64, ~Te.LcTea.decrypt, ~LC.CrBlk64.xor, k, Pc.cr.pcbc.enc(~Te.LcTeaKey, ~L.LcBlock64, ~Te.LcTea.encrypt, ~LC.CrBlk64.xor, k, bs, iv), iv) : List<&2, L.LcBlock64>}:
  match bs:
    case Nil{}:
      {==}
    case Con{+p, t}:
      %Equal.sym(L.LcBlock64, Te.LcTea.decrypt(k, Te.LcTea.encrypt(k, LC.CrBlk64.xor(p, iv))), LC.CrBlk64.xor(p, iv), LL.tea_round_trip(k, LC.CrBlk64.xor(p, iv))) : {Con{p, t} == Con{LC.CrBlk64.xor(_, iv), Pc.cr.pcbc.dec(~Te.LcTeaKey, ~L.LcBlock64, ~Te.LcTea.decrypt, ~LC.CrBlk64.xor, k, Pc.cr.pcbc.enc(~Te.LcTeaKey, ~L.LcBlock64, ~Te.LcTea.encrypt, ~LC.CrBlk64.xor, k, t, LC.CrBlk64.xor(p, Te.LcTea.encrypt(k, LC.CrBlk64.xor(p, iv)))), LC.CrBlk64.xor(LC.CrBlk64.xor(_, iv), Te.LcTea.encrypt(k, LC.CrBlk64.xor(p, iv))))} : List<&2, L.LcBlock64>}
      %lcblock64_xx(p, iv) : {Con{p, t} == Con{_, Pc.cr.pcbc.dec(~Te.LcTeaKey, ~L.LcBlock64, ~Te.LcTea.decrypt, ~LC.CrBlk64.xor, k, Pc.cr.pcbc.enc(~Te.LcTeaKey, ~L.LcBlock64, ~Te.LcTea.encrypt, ~LC.CrBlk64.xor, k, t, LC.CrBlk64.xor(p, Te.LcTea.encrypt(k, LC.CrBlk64.xor(p, iv)))), LC.CrBlk64.xor(_, Te.LcTea.encrypt(k, LC.CrBlk64.xor(p, iv))))} : List<&2, L.LcBlock64>}
      %pcbc_rt.tea(k, t, LC.CrBlk64.xor(p, Te.LcTea.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=tea_round_trip
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/legacy_ciphers.bend&name=LcBlock64
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/tea.bend&name=LcTea.decrypt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/tea.bend&name=LcTea.encrypt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/tea.bend&name=LcTeaKey