law u32_to_nat_from_nat_mod_sym

bend-mathlib@0.8.1.0 · u32.bend:1235

import Base

1235# Converting any natural to U32 and back reduces it modulo 2^32: to_nat (from_nat k) = k % 2^32, reversed to rewrite toward the simple side.
1236law u32_to_nat_from_nat_mod_sym:
1237  for k: Nat
1238  {Nat.mod(k, Nat.pow(2n, 32n)) == U32.to_nat(U32.from_nat(k)) : Nat}