U32.u32_cmp_to_nat: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/u32.bend as U32
Lines 529-533 of bend-mathlib@0.8.1.0/u32.bend: https://jend.leeeet.dev/read.txt?path=bend-mathlib@0.8.1.0/u32.bend&start_line=529&end_line=533

import Base

# Comparing U32s compares their values: cmp a b = cmp (to_nat a) (to_nat b).
law u32_cmp_to_nat:
  for a: U32
  for b: U32
  {U32.cmp(a, b) == Nat.cmp(U32.to_nat(a), U32.to_nat(b)) : Cmp}

Uses (6):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/u32.bend&name=word_cmp_to_nat