ProofZb.zb_byte: law of lawful-words@0.1.0.0
Import: import lawful-words@0.1.0.0/proof_zb.bend as ProofZb
Lines 84-92 of lawful-words@0.1.0.0/proof_zb.bend: https://jend.leeeet.dev/read.txt?path=lawful-words@0.1.0.0/proof_zb.bend&start_line=84&end_line=92

import Base

# One byte of the zero-byte test, with no borrow in.
law zb_byte:
  for +n: Nat
  for +x: Word(8n)
  for +r: Word(n)
  for +kr: Word(n)
  for +hr: Word(n)
  {allz(Nat.add(8n, n), zf(Nat.add(8n, n), app8(n, x, r), app8(n, one8(), kr), app8(n, h8(), hr), True{}))
    == Bool.and(Bool.not(allz(8n, x)), allz(n, zf(n, r, kr, hr, True{}))) : Bool}

Uses (13):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.not
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.Con
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.Nil
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_zb.bend&name=allz
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_zb.bend&name=app8
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_zb.bend&name=h8
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_zb.bend&name=one8
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_zb.bend&name=zf