WordEncoding.less_one_is_zero: law of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/word_encoding.bend as WordEncoding
Lines 137-140 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=137&end_line=140

import Base

law less_one_is_zero:
  for +n: Nat
  for +w: Word(1n+n)
  {Cmp.is_lt(Word.cmp(1n+n,w,WCon{True{},Word.zero(n)})) == Cmp.is_eq(Word.cmp(1n+n,w,Word.zero(1n+n))) : 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=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=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=finish_one
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/word_encoding.bend&name=nonnegative