LAWS.xor_streaming_data: law of bend-osdev-crypto@0.1.0.0
Import: import bend-osdev-crypto@0.1.0.0/LAWS.bend as LAWS
Lines 89-97 of bend-osdev-crypto@0.1.0.0/LAWS.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-crypto@0.1.0.0/LAWS.bend&start_line=89&end_line=97

import Base
import bend-osdev-bytes@0.1.0.0/bytes.bend as B
import bend-osdev-crypto@0.1.0.0/stream.bend as St

# data in pieces: the output of a ++ b is the output of a, then the output of
# b from the state after a
law xor_streaming_data:
  for ~S: Data
  for ~next: S -> St.CrKsStep<S>
  for +s: S
  for +a: B.Octets
  for +b: B.Octets
  {St.CrXor.out_data(~S, St.CrXor.update(~S, ~next, s, B.Octets.append(a, b))) == B.Octets.append(St.CrXor.out_data(~S, St.CrXor.update(~S, ~next, s, a)), St.CrXor.out_data(~S, St.CrXor.update(~S, ~next, St.CrXor.out_state(~S, St.CrXor.update(~S, ~next, s, a)), b))) : B.Octets}

Uses (18):
  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=U32
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/LAWS.bend&name=octets_append_list
  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.append
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets.of_list
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets.to_list
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=append
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/PROOF.bend&name=ks_xs_append
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/PROOF.bend&name=octets_of_append
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/PROOF.bend&name=xor_update_ref
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/stream.bend&name=CrKsStep
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/stream.bend&name=CrXor.out_data
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/stream.bend&name=CrXor.out_state
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/stream.bend&name=CrXor.update
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/stream.bend&name=cr.ks.after
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/stream.bend&name=cr.ks.xs