def cbc_rt.sm4

bend-osdev-crypto@0.1.0.0 · PROOF.bend:894

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

894def 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>}:
895  match bs:
896    case Nil{}:
897      {==}
898    case Con{+p, t}:
899      %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>}
900      %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>}
901      %cbc_rt.sm4(k, t, S.LcSm4.encrypt(k, CM.CrBlk128.xor(p, iv))) : {Con{p, t} == Con{p, _} : List<&2, M.CmBlock>}
902      {==}