LAWSDiv.nat_round_up: law of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/LAWS_div.bend as LAWSDiv
Lines 25-28 of bend-osdev-u32@0.1.0.0/LAWS_div.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-u32@0.1.0.0/LAWS_div.bend&start_line=25&end_line=28

import Base

law nat_round_up:
  for +bp: Nat
  for +a: Nat
  {Nat.mul(Nat.div(Nat.add(a, Nat.sub(1n+bp, 1n)), 1n+bp), 1n+bp) == Nat.add(a, Nat.sub(Nat.sub(1n+bp, 1n), Nat.mod(Nat.add(a, Nat.sub(1n+bp, 1n)), 1n+bp))) : Nat}

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  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.mod
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.sub
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF_div.bend&name=ud.cover