PROOF.cbc_dec_ok: 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 8704-8707 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=8704&end_line=8707

import Base
import bend-osdev-bytes@0.1.0.0/bytes.bend as B
import bend-osdev-legacy-ciphers@0.1.0.0/legacy_ciphers.bend as L
import bend-osdev-legacy-ciphers@0.1.0.0/modes64.bend as X
import bend-osdev-legacy-ciphers@0.1.0.0/LAWS.bend as Laws

def cbc_dec_ok(~K: Data, ~dec: K -> L.LcBlock64 -> L.LcBlock64, +k: K, +iv: L.LcBlock64, +bs: List<&2, L.LcBlock64>) -> {X.Lc64.cbc_decrypt(~K, ~dec, k, L.LcBlock64.to_octets(iv), X.Lc64.octets_of(bs)) == Done{X.Lc64.octets_of(X.Lc64.cbc_decrypt_blocks(~K, ~dec, k, iv, bs))} : Result<&2, &2, L.LcError, B.Octets>}:
  %Equal.sym(Maybe<&2, L.LcBlock64>, L.LcBlock64.of_octets(L.LcBlock64.to_octets(iv)), Some{iv}, Laws.block64_octets_round_trip(iv)) : {X.m64.cbc.d1(~K, ~dec, k, X.m64.iv(_, B.Octets.len(L.LcBlock64.to_octets(iv))), X.Lc64.octets_of(bs)) == Done{X.Lc64.octets_of(X.Lc64.cbc_decrypt_blocks(~K, ~dec, k, iv, bs))} : Result<&2, &2, L.LcError, B.Octets>}
  %Equal.sym(Result<&2, &2, L.LcError, List<&2, L.LcBlock64>>, X.Lc64.blocks_of(X.Lc64.octets_of(bs)), Done{bs}, Laws.blocks64_octets_round_trip(bs)) : {X.m64.cbc.d2(~K, ~dec, k, iv, _) == Done{X.Lc64.octets_of(X.Lc64.cbc_decrypt_blocks(~K, ~dec, k, iv, bs))} : Result<&2, &2, L.LcError, B.Octets>}
  {==}

Uses (19):
  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=Base/base.bend&name=Maybe
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Result
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets.len
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/LAWS.bend&name=block64_octets_round_trip
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/LAWS.bend&name=blocks64_octets_round_trip
  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/legacy_ciphers.bend&name=LcBlock64.of_octets
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/legacy_ciphers.bend&name=LcBlock64.to_octets
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/legacy_ciphers.bend&name=LcError
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/modes64.bend&name=Lc64.blocks_of
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/modes64.bend&name=Lc64.cbc_decrypt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/modes64.bend&name=Lc64.cbc_decrypt_blocks
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/modes64.bend&name=Lc64.octets_of
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/modes64.bend&name=m64.cbc.d1
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/modes64.bend&name=m64.cbc.d2
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/modes64.bend&name=m64.iv