LAWS.u32_or_split: law of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/LAWS.bend as LAWS
Lines 609-616 of bend-osdev-u32@0.1.0.0/LAWS.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-u32@0.1.0.0/LAWS.bend&start_line=609&end_line=616

import Base
import bend-osdev-u32@0.1.0.0/u32.bend as U

law u32_or_split:
  for +a: U32
  for +b: U32
  for +k: Nat
  for +q: Nat
  for e: {U32.to_nat(a) == U.U32Nat.dbl(k, q) : Nat}
  for h: {Nat.is_lt(U32.to_nat(b), U.U32Nat.dbl(k, 1n)) == True{} : Bool}
  {U32.to_nat(U32.or(a, b)) == Nat.add(U32.to_nat(a), U32.to_nat(b)) : Nat}

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.or
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/LAWS.bend&name=word_or_split
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/u32.bend&name=U32Nat.dbl