PROOFChecksum.ckp.zero: def of bend-osdev-acpi@0.1.2.0
Import: import bend-osdev-acpi@0.1.2.0/PROOF_checksum.bend as PROOFChecksum
Lines 132-137 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=132&end_line=137

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.zero(+nA: Nat, +nD: Nat, +x: Nat, +c: Nat, +w: Nat, +e1: {U.U32Nat.low(8n, Nat.add(w, x)) == U.U32Nat.low(8n, Nat.add(nA, Nat.add(x, nD))) : Nat}, +e2: {U.U32Nat.low(8n, Nat.add(c, w)) == 0n : Nat}) -> {U.U32Nat.low(8n, Nat.add(nA, Nat.add(c, nD))) == 0n : Nat}:
  %UL.nat_add_left_comm(c, nA, nD) : {U.U32Nat.low(8n, _) == 0n : Nat}
  %Equal.sym(Nat, U.U32Nat.low(8n, Nat.add(c, Nat.add(nA, nD))), U.U32Nat.low(8n, Nat.add(c, U.U32Nat.low(8n, Nat.add(nA, nD)))), ckp.l1r(c, Nat.add(nA, nD))) : {_ == 0n : Nat}
  %ckp.cancel(x, w, Nat.add(nA, nD), ckp.e1x(nA, nD, x, w, e1)) : {U.U32Nat.low(8n, Nat.add(c, _)) == 0n : Nat}
  %ckp.l1r(c, w) : {_ == 0n : Nat}
  e2

Uses (8):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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.cancel
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-acpi@0.1.2.0/PROOF_checksum.bend&name=ckp.e1x
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-acpi@0.1.2.0/PROOF_checksum.bend&name=ckp.l1r
  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