PROOF.ecb_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 880-887 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=880&end_line=887

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

def ecb_rt.sm4(+k: S.LcSm4Key, bs: List<&2, M.CmBlock>) -> {bs == Md.cr.ecb(~S.LcSm4Key, ~M.CmBlock, ~S.LcSm4.decrypt, k, Md.cr.ecb(~S.LcSm4Key, ~M.CmBlock, ~S.LcSm4.encrypt, k, bs)) : List<&2, M.CmBlock>}:
  match bs:
    case Nil{}:
      {==}
    case Con{b, t}:
      %Equal.sym(M.CmBlock, S.LcSm4.decrypt(k, S.LcSm4.encrypt(k, b)), b, LL.sm4_round_trip(k, b)) : {Con{b, t} == Con{_, Md.cr.ecb(~S.LcSm4Key, ~M.CmBlock, ~S.LcSm4.decrypt, k, Md.cr.ecb(~S.LcSm4Key, ~M.CmBlock, ~S.LcSm4.encrypt, k, t))} : List<&2, M.CmBlock>}
      %ecb_rt.sm4(k, t) : {Con{b, t} == Con{b, _} : List<&2, M.CmBlock>}
      {==}

Uses (8):
  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/modes.bend&name=cr.ecb
  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