ProofZb.allz_cmp: law of lawful-words@0.1.0.0
Import: import lawful-words@0.1.0.0/proof_zb.bend as ProofZb
Lines 40-43 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=40&end_line=43

import Base

law allz_cmp:
  for +n: Nat
  for +w: Word(n)
  {Cmp.is_eq(Word.cmp(n, w, Word.zero(n))) == allz(n, w) : Bool}

Uses (15):
  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=Cmp.is_eq
  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.Nil
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.cmp.fin
  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_nat.bend&name=and_false_r
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_nat.bend&name=and_true_r_id
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_u32.bend&name=fin_eq
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_zb.bend&name=allz