Lemmas.word_to_nat_lt: law of bend-kit-lemmas@0.1.1.0
Import: import bend-kit-lemmas@0.1.1.0/lemmas.bend as Lemmas
Lines 162-166 of bend-kit-lemmas@0.1.1.0/lemmas.bend: https://jend.leeeet.dev/read.txt?path=bend-kit-lemmas@0.1.1.0/lemmas.bend&start_line=162&end_line=166

import Base
import bend-mathlib@0.7.4.0/nat.bend as MNat

# A word of n bits has a value below 2^n.
law word_to_nat_lt:
  for n: Nat
  for w: Word(n)
  MNat.lt(Word.to_nat(n, w), pow2(n))

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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.to_nat
  https://jend.leeeet.dev/definition.txt?path=bend-kit-lemmas@0.1.1.0/lemmas.bend&name=odd_lt_double
  https://jend.leeeet.dev/definition.txt?path=bend-kit-lemmas@0.1.1.0/lemmas.bend&name=pow2
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=double_lt_double
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=lt