LAWS.dbl_dbl: law of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/LAWS.bend as LAWS
Lines 40-44 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=40&end_line=44

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

law dbl_dbl:
  for +m: Nat
  for +k: Nat
  for +x: Nat
  {U.U32Nat.dbl(m, U.U32Nat.dbl(k, x)) == U.U32Nat.dbl(Nat.add(m, k), x) : 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.add
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF.bend&name=un.double_cong
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/u32.bend&name=U32Nat.dbl