PROOF.ecb_blocks_rt_des: def of bend-osdev-legacy-ciphers@0.1.0.0
Import: import bend-osdev-legacy-ciphers@0.1.0.0/PROOF.bend as PROOF
Lines 8644-8648 of bend-osdev-legacy-ciphers@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/PROOF.bend&start_line=8644&end_line=8648

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/modes64.bend as X

# the public block layers, through the structural forms
def ecb_blocks_rt_des(+k: D.LcDesKey, +bs: List<&2, L.LcBlock64>) -> {X.Lc64.ecb_decrypt_blocks(~D.LcDesKey, ~D.LcDes.decrypt, k, X.Lc64.ecb_encrypt_blocks(~D.LcDesKey, ~D.LcDes.encrypt, k, bs)) == bs : List<&2, L.LcBlock64>}:
  %Equal.sym(List<&2, L.LcBlock64>, X.m64.ecb.go(~D.LcDesKey, ~D.LcDes.encrypt, k, bs, Nil{}), X.m64.rev_onto(Nil{}, X.m64.ecb(~D.LcDesKey, ~D.LcDes.encrypt, k, bs)), ecb_ref(~D.LcDesKey, ~D.LcDes.encrypt, k, bs, Nil{})) : {X.m64.ecb.go(~D.LcDesKey, ~D.LcDes.decrypt, k, _, Nil{}) == bs : List<&2, L.LcBlock64>}
  %Equal.sym(List<&2, L.LcBlock64>, X.m64.ecb.go(~D.LcDesKey, ~D.LcDes.decrypt, k, X.m64.ecb(~D.LcDesKey, ~D.LcDes.encrypt, k, bs), Nil{}), X.m64.rev_onto(Nil{}, X.m64.ecb(~D.LcDesKey, ~D.LcDes.decrypt, k, X.m64.ecb(~D.LcDesKey, ~D.LcDes.encrypt, k, bs))), ecb_ref(~D.LcDesKey, ~D.LcDes.decrypt, k, X.m64.ecb(~D.LcDesKey, ~D.LcDes.encrypt, k, bs), Nil{})) : {_ == bs : List<&2, L.LcBlock64>}
  Equal.sym(List<&2, L.LcBlock64>, bs, X.m64.ecb(~D.LcDesKey, ~D.LcDes.decrypt, k, X.m64.ecb(~D.LcDesKey, ~D.LcDes.encrypt, k, bs)), ecb_rt_des(k, bs))

Uses (13):
  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-legacy-ciphers@0.1.0.0/PROOF.bend&name=ecb_ref
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/PROOF.bend&name=ecb_rt_des
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/des.bend&name=LcDes.decrypt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/des.bend&name=LcDes.encrypt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/des.bend&name=LcDesKey
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/legacy_ciphers.bend&name=LcBlock64
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/modes64.bend&name=Lc64.ecb_decrypt_blocks
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/modes64.bend&name=Lc64.ecb_encrypt_blocks
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/modes64.bend&name=m64.ecb
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/modes64.bend&name=m64.ecb.go
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/modes64.bend&name=m64.rev_onto