PROOF.pcbc_rt.aria: def of bend-osdev-crypto@0.1.0.0
Import: import bend-osdev-crypto@0.1.0.0/PROOF.bend as PROOF
Lines 1213-1221 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=1213&end_line=1221

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/aria.bend as Ar
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_cm.bend as CM

def pcbc_rt.aria(+k: Ar.LcAriaKey, bs: List<&2, M.CmBlock>, +iv: M.CmBlock) -> {bs == Pc.cr.pcbc.dec(~Ar.LcAriaKey, ~M.CmBlock, ~Ar.LcAria.decrypt, ~CM.CrBlk128.xor, k, Pc.cr.pcbc.enc(~Ar.LcAriaKey, ~M.CmBlock, ~Ar.LcAria.encrypt, ~CM.CrBlk128.xor, k, bs, iv), iv) : List<&2, M.CmBlock>}:
  match bs:
    case Nil{}:
      {==}
    case Con{+p, t}:
      %Equal.sym(M.CmBlock, Ar.LcAria.decrypt(k, Ar.LcAria.encrypt(k, CM.CrBlk128.xor(p, iv))), CM.CrBlk128.xor(p, iv), LL.aria_round_trip(k, CM.CrBlk128.xor(p, iv))) : {Con{p, t} == Con{CM.CrBlk128.xor(_, iv), Pc.cr.pcbc.dec(~Ar.LcAriaKey, ~M.CmBlock, ~Ar.LcAria.decrypt, ~CM.CrBlk128.xor, k, Pc.cr.pcbc.enc(~Ar.LcAriaKey, ~M.CmBlock, ~Ar.LcAria.encrypt, ~CM.CrBlk128.xor, k, t, CM.CrBlk128.xor(p, Ar.LcAria.encrypt(k, CM.CrBlk128.xor(p, iv)))), CM.CrBlk128.xor(CM.CrBlk128.xor(_, iv), Ar.LcAria.encrypt(k, CM.CrBlk128.xor(p, iv))))} : List<&2, M.CmBlock>}
      %cmblock_xx(p, iv) : {Con{p, t} == Con{_, Pc.cr.pcbc.dec(~Ar.LcAriaKey, ~M.CmBlock, ~Ar.LcAria.decrypt, ~CM.CrBlk128.xor, k, Pc.cr.pcbc.enc(~Ar.LcAriaKey, ~M.CmBlock, ~Ar.LcAria.encrypt, ~CM.CrBlk128.xor, k, t, CM.CrBlk128.xor(p, Ar.LcAria.encrypt(k, CM.CrBlk128.xor(p, iv)))), CM.CrBlk128.xor(_, Ar.LcAria.encrypt(k, CM.CrBlk128.xor(p, iv))))} : List<&2, M.CmBlock>}
      %pcbc_rt.aria(k, t, CM.CrBlk128.xor(p, Ar.LcAria.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/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=aria_round_trip
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/aria.bend&name=LcAria.decrypt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/aria.bend&name=LcAria.encrypt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/aria.bend&name=LcAriaKey