PROOF.cbc_rt.sm4: def of bend-osdev-crypto@0.1.0.0
Import: import bend-osdev-crypto@0.1.0.0/PROOF.bend as PROOF
Lines 894-902 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=894&end_line=902

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/sm4.bend as S
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.sm4(+k: S.LcSm4Key, bs: List<&2, M.CmBlock>, +iv: M.CmBlock) -> {bs == Md.cr.cbc.dec(~S.LcSm4Key, ~M.CmBlock, ~S.LcSm4.decrypt, ~CM.CrBlk128.xor, k, Md.cr.cbc.enc(~S.LcSm4Key, ~M.CmBlock, ~S.LcSm4.encrypt, ~CM.CrBlk128.xor, k, bs, iv), iv) : List<&2, M.CmBlock>}:
  match bs:
    case Nil{}:
      {==}
    case Con{+p, t}:
      %Equal.sym(M.CmBlock, S.LcSm4.decrypt(k, S.LcSm4.encrypt(k, CM.CrBlk128.xor(p, iv))), CM.CrBlk128.xor(p, iv), LL.sm4_round_trip(k, CM.CrBlk128.xor(p, iv))) : {Con{p, t} == Con{CM.CrBlk128.xor(_, iv), Md.cr.cbc.dec(~S.LcSm4Key, ~M.CmBlock, ~S.LcSm4.decrypt, ~CM.CrBlk128.xor, k, Md.cr.cbc.enc(~S.LcSm4Key, ~M.CmBlock, ~S.LcSm4.encrypt, ~CM.CrBlk128.xor, k, t, S.LcSm4.encrypt(k, CM.CrBlk128.xor(p, iv))), S.LcSm4.encrypt(k, CM.CrBlk128.xor(p, iv)))} : List<&2, M.CmBlock>}
      %cmblock_xx(p, iv) : {Con{p, t} == Con{_, Md.cr.cbc.dec(~S.LcSm4Key, ~M.CmBlock, ~S.LcSm4.decrypt, ~CM.CrBlk128.xor, k, Md.cr.cbc.enc(~S.LcSm4Key, ~M.CmBlock, ~S.LcSm4.encrypt, ~CM.CrBlk128.xor, k, t, S.LcSm4.encrypt(k, CM.CrBlk128.xor(p, iv))), S.LcSm4.encrypt(k, CM.CrBlk128.xor(p, iv)))} : List<&2, M.CmBlock>}
      %cbc_rt.sm4(k, t, S.LcSm4.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=sm4_round_trip
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/sm4.bend&name=LcSm4.decrypt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/sm4.bend&name=LcSm4.encrypt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/sm4.bend&name=LcSm4Key