PROOF.lrw_b.sm4: def of bend-osdev-crypto@0.1.0.0
Import: import bend-osdev-crypto@0.1.0.0/PROOF.bend as PROOF
Lines 924-931 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=924&end_line=931

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/lrw.bend as Lw
import bend-osdev-crypto@0.1.0.0/inst_cm.bend as CM

def lrw_b.sm4(+k: S.LcSm4Key, t: Maybe<&2, M.CmBlock>, +p: M.CmBlock) -> {p == Lw.cr.lrw.bdec(~S.LcSm4Key, ~M.CmBlock, ~S.LcSm4.decrypt, ~CM.CrBlk128.xor, k, t, Lw.cr.lrw.benc(~S.LcSm4Key, ~M.CmBlock, ~S.LcSm4.encrypt, ~CM.CrBlk128.xor, k, t, p)) : M.CmBlock}:
  match t:
    case None{}:
      Equal.sym(M.CmBlock, S.LcSm4.decrypt(k, S.LcSm4.encrypt(k, p)), p, LL.sm4_round_trip(k, p))
    case Some{+x}:
      %cmblock_xx(S.LcSm4.encrypt(k, CM.CrBlk128.xor(p, x)), x) : {p == CM.CrBlk128.xor(S.LcSm4.decrypt(k, _), x) : M.CmBlock}
      %Equal.sym(M.CmBlock, S.LcSm4.decrypt(k, S.LcSm4.encrypt(k, CM.CrBlk128.xor(p, x))), CM.CrBlk128.xor(p, x), LL.sm4_round_trip(k, CM.CrBlk128.xor(p, x))) : {p == CM.CrBlk128.xor(_, x) : M.CmBlock}
      cmblock_xx(p, x)

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=Maybe
  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/lrw.bend&name=cr.lrw.bdec
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/lrw.bend&name=cr.lrw.benc
  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