PROOF.cnt.d111: def of bend-osdev-acpi@0.1.1.0
Import: import bend-osdev-acpi@0.1.1.0/PROOF.bend as PROOF
Lines 1189-1194 of bend-osdev-acpi@0.1.1.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-acpi@0.1.1.0/PROOF.bend&start_line=1189&end_line=1194

import Base
import bend-osdev-bytes@0.1.1.0/bytes.bend as B

def cnt.d111(+k: Nat, +lt: {Nat.is_lt(Nat.add(111n, k), 256n) == True{} : Bool}) -> {U32.to_nat(B.byte(U32.from_nat(Nat.add(111n, k)))) == Nat.add(111n, k) : Nat}:
  match k:
    case 0n:
      {==}
    case 1n+p:
      cnt.d112(p, lt)

Uses (8):
  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.from_nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-acpi@0.1.1.0/PROOF.bend&name=cnt.d112
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=byte