LAWSOrder.word_cmp_lt_trans: law of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/LAWS_order.bend as LAWSOrder
Lines 60-67 of bend-osdev-u32@0.1.0.0/LAWS_order.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-u32@0.1.0.0/LAWS_order.bend&start_line=60&end_line=67

import Base

law word_cmp_lt_trans:
  for +n: Nat
  for +a: Word(n)
  for +b: Word(n)
  for +c: Word(n)
  for h1: {Word.cmp(n, a, b) == LT{} : Cmp}
  for h2: {Word.cmp(n, b, c) == LT{} : Cmp}
  {Word.cmp(n, a, c) == LT{} : Cmp}

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Cmp
  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.cmp
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF_order.bend&name=wd.lt_trans