LAWS.nat_div_div: law of lawful-words@0.1.0.0
Import: import lawful-words@0.1.0.0/LAWS.bend as LAWS
Lines 503-508 of lawful-words@0.1.0.0/LAWS.bend: https://jend.leeeet.dev/read.txt?path=lawful-words@0.1.0.0/LAWS.bend&start_line=503&end_line=508

import Base

# Dividing by 2^j then by 2^k is dividing by 2^(j+k).
law nat_div_div:
  for a: Nat
  for x: Nat
  for y: Nat
  {Nat.div(Nat.div(a, x), y) == Nat.div(a, Nat.mul(x, y)) : Nat}

Uses (4):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.div
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_nat.bend&name=div_div