U32.u32_to_nat_from_nat_mod: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/u32.bend as U32
Lines 731-734 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=731&end_line=734

import Base

# Converting any natural to U32 and back reduces it modulo 2^32: to_nat (from_nat k) = k % 2^32.
law u32_to_nat_from_nat_mod:
  for k: Nat
  {U32.to_nat(U32.from_nat(k)) == Nat.mod(k, Nat.pow(2n, 32n)) : Nat}

Uses (6):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mod
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.pow
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.from_nat
  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=internal_u32_to_nat_from_nat_mod