Incremental.incremental512: law of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/hash/incremental.bend as Incremental
Lines 652-655 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/hash/incremental.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/hash/incremental.bend&start_line=652&end_line=655

import Base
import bend-collections-laws-crypto@1.0.0.0/src/crypto/sha512/core.bend as C512
import bend-collections-laws-crypto@1.0.0.0/src/crypto/hash.bend as H

# digest(update_all(new, chunks)) is the padded block loop over concat(chunks).
law incremental512:
  for +cs: List<&2, List<&2, U32>>
  {H.digest(H.update_all(H.new_sha512(), cs)) == C512.digest_bytes(C512.blocks(C512.lanes(List.append(&2, U32, List.concat(&2, U32, cs), C512.suffix(List.length(&2, U32, List.concat(&2, U32, cs))))), 64n, C512.round_constants(), C512.initial())) : List<&2, U32>}

Uses (27):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  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=List.length
  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/incremental.bend&name=buf512
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/hash/incremental.bend&name=finish512_eta
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/hash/incremental.bend&name=fold512
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/hash/incremental.bend&name=fold512_inv
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/hash/incremental.bend&name=st512
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/hash/incremental.bend&name=state512
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/hash.bend&name=Hasher
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/hash.bend&name=Sha512State
  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=finish512
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/hash.bend&name=fold
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/hash.bend&name=new_sha512
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/hash.bend&name=update_all
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/sha512/core.bend&name=blocks
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/sha512/core.bend&name=digest_bytes
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/sha512/core.bend&name=initial
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/sha512/core.bend&name=lanes
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/sha512/core.bend&name=round_constants
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/sha512/core.bend&name=suffix
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/sha512/types.bend&name=State