LAWS.cmac_streaming: law of bend-osdev-cipher-modes@0.1.0.0
Import: import bend-osdev-cipher-modes@0.1.0.0/LAWS.bend as LAWS
Lines 56-66 of bend-osdev-cipher-modes@0.1.0.0/LAWS.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-cipher-modes@0.1.0.0/LAWS.bend&start_line=56&end_line=66

import Base
import bend-osdev-bytes@0.1.0.0/bytes.bend as B
import bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend as M
import bend-osdev-cipher-modes@0.1.0.0/cmac.bend as CM

# CMAC in pieces: the state after a ++ b is the state after a, then b, for
# every cipher, key and state (so start, update .. update, finish is the MAC
# of the pieces joined)
law cmac_streaming:
  for ~K: Data
  for ~enc: K -> M.CmBlock -> M.CmBlock
  for +k: K
  for s: CM.CmacState
  for +a: B.Octets
  for +b: B.Octets
  {CM.Cmac.update(~K, ~enc, k, s, B.Octets.append(a, b)) == CM.Cmac.update(~K, ~enc, k, CM.Cmac.update(~K, ~enc, k, s, a), b) : CM.CmacState}

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=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.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-cipher-modes@0.1.0.0/PROOF.bend&name=cmacp.feed
  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-cipher-modes@0.1.0.0/cmac.bend&name=Cmac.update
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/cmac.bend&name=CmacState
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/cmac.bend&name=cmac.feed