PROOFChecksum.ckp.e1x: def of bend-osdev-acpi@0.1.2.0
Import: import bend-osdev-acpi@0.1.2.0/PROOF_checksum.bend as PROOFChecksum
Lines 127-130 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=127&end_line=130

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.e1x(+nA: Nat, +nD: Nat, +x: Nat, +w: Nat, +e1: {U.U32Nat.low(8n, Nat.add(w, x)) == U.U32Nat.low(8n, Nat.add(nA, Nat.add(x, nD))) : Nat}) -> {U.U32Nat.low(8n, Nat.add(x, w)) == U.U32Nat.low(8n, Nat.add(x, Nat.add(nA, nD))) : Nat}:
  %UL.nat_add_comm(w, x) : {U.U32Nat.low(8n, _) == U.U32Nat.low(8n, Nat.add(x, Nat.add(nA, nD))) : Nat}
  %UL.nat_add_left_comm(nA, x, nD) : {U.U32Nat.low(8n, Nat.add(w, x)) == U.U32Nat.low(8n, _) : Nat}
  e1

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-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/LAWS.bend&name=nat_add_left_comm
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/u32.bend&name=U32Nat.low