ProofFastW2.allz_orm: law of lawful-bytes@0.1.1.0
Import: import lawful-bytes@0.1.1.0/proof_fast_w2.bend as ProofFastW2
Lines 17-22 of lawful-bytes@0.1.1.0/proof_fast_w2.bend: https://jend.leeeet.dev/read.txt?path=lawful-bytes@0.1.1.0/proof_fast_w2.bend&start_line=17&end_line=22

import Base
import lawful-words@0.1.0.0/proof_zb.bend as Z

law allz_orm:
  for +n: Nat
  for +x: Word(n)
  for +y: Word(n)
  for +z: Word(n)
  {Z.allz(n, Word.and(n, Word.or(n, x, y), z)) == Bool.and(Z.allz(n, Word.and(n, x, z)), Z.allz(n, Word.and(n, y, z))) : Bool}

Uses (10):
  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=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  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.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.or
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_nat.bend&name=and_false_r
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_zb.bend&name=allz