def ecb_rt.des

bend-osdev-crypto@0.1.0.0 · PROOF.bend:774

import Base
import bend-osdev-legacy-ciphers@0.1.0.0/legacy_ciphers.bend as L
import bend-osdev-legacy-ciphers@0.1.0.0/des.bend as D
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

774def ecb_rt.des(+k: D.LcDesKey, bs: List<&2, L.LcBlock64>) -> {bs == Md.cr.ecb(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.decrypt, k, Md.cr.ecb(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.encrypt, k, bs)) : List<&2, L.LcBlock64>}:
775  match bs:
776    case Nil{}:
777      {==}
778    case Con{b, t}:
779      %Equal.sym(L.LcBlock64, D.LcDes.decrypt(k, D.LcDes.encrypt(k, b)), b, LL.des_round_trip(k, b)) : {Con{b, t} == Con{_, Md.cr.ecb(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.decrypt, k, Md.cr.ecb(~D.LcDesKey, ~L.LcBlock64, ~D.LcDes.encrypt, k, t))} : List<&2, L.LcBlock64>}
780      %ecb_rt.des(k, t) : {Con{b, t} == Con{b, _} : List<&2, L.LcBlock64>}
781      {==}