PROOFChecksum.ckp.l1r: def of bend-osdev-acpi@0.1.2.0
Import: import bend-osdev-acpi@0.1.2.0/PROOF_checksum.bend as PROOFChecksum
Lines 94-97 of bend-osdev-acpi@0.1.2.0/PROOF_checksum.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-acpi@0.1.2.0/PROOF_checksum.bend&start_line=94&end_line=97

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

def ckp.l1r(+a: Nat, +b: Nat) -> {U.U32Nat.low(8n, Nat.add(a, b)) == U.U32Nat.low(8n, Nat.add(a, U.U32Nat.low(8n, b))) : Nat}:
  %UL.nat_add_comm(b, a) : {U.U32Nat.low(8n, _) == U.U32Nat.low(8n, Nat.add(a, U.U32Nat.low(8n, b))) : Nat}
  %UL.nat_add_comm(U.U32Nat.low(8n, b), a) : {U.U32Nat.low(8n, Nat.add(b, a)) == U.U32Nat.low(8n, _) : Nat}
  ckp.l1(b, a)

Uses (5):
  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-acpi@0.1.2.0/PROOF_checksum.bend&name=ckp.l1
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/LAWS.bend&name=nat_add_comm
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/u32.bend&name=U32Nat.low