WordEncoding.below_one_zero: law of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/word_encoding.bend as WordEncoding
Lines 254-258 of stelliferous@0.0.2.0/proofs/word_encoding.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/word_encoding.bend&start_line=254&end_line=258

import Base

law below_one_zero:
  for +n: Nat
  for +w: Word(1n+n)
  for below: {Cmp.is_lt(Word.cmp(1n+n,w,WCon{True{},Word.zero(n)})) == True{} : Bool}
  {w == Word.zero(1n+n) : Word(1n+n)}

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=Cmp.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Cmp.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  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.cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.zero
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/word_encoding.bend&name=cmp_eq
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/word_encoding.bend&name=less_one_is_zero
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/word_encoding.bend&name=zero_reflect