LAWS.sha3_256_hash_split3: law of bend-osdev-crypto@0.1.0.0
Import: import bend-osdev-crypto@0.1.0.0/LAWS.bend as LAWS
Lines 450-454 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=450&end_line=454

import Base
import bend-osdev-bytes@0.1.0.0/bytes.bend as B
import bend-osdev-crypto@0.1.0.0/inst_sha3.bend as S3

law sha3_256_hash_split3:
  for +a: B.Octets
  for +b: B.Octets
  for +c: B.Octets
  {S3.CrSha3.final(S3.CrSha3.update(S3.CrSha3.update(S3.CrSha3.update(S3.CrSha3.init(), a), b), c)) == S3.CrSha3.sha3_256(B.Octets.append(a, B.Octets.append(b, c))) : B.Octets}

Uses (20):
  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=List.append
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.concat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/hash/laws.bend&name=Incremental.sha3_256
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/hash.bend&name=digest
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/hash.bend&name=new_sha3_256
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/hash.bend&name=sha3_256
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/hash.bend&name=update
  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-crypto@0.1.0.0/PROOF.bend&name=append_nil
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/inst_sha3.bend&name=CrSha3.final
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/inst_sha3.bend&name=CrSha3.init
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/inst_sha3.bend&name=CrSha3.sha3_256
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/inst_sha3.bend&name=CrSha3.update