ProofZb.allz_mask: law of lawful-words@0.1.0.0
Import: import lawful-words@0.1.0.0/proof_zb.bend as ProofZb
Lines 609-615 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=609&end_line=615

import Base

# A byte masked with 255.
law allz_mask:
  for +n: Nat
  for +x: Word(8n)
  for +r: Word(n)
  {allz(Nat.add(8n, n), Word.and(Nat.add(8n, n), app8(n, x, r), app8(n, ones8(), Word.zero(n))))
    == Bool.and(allz(8n, x), allz(n, Word.and(n, r, Word.zero(n)))) : Bool}

Uses (12):
  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=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=Base/base.bend&name=Word.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.zero
  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=ones8