PROOF.AP.z1: def of bend-osdev-array@0.1.0.1
Import: import bend-osdev-array@0.1.0.1/PROOF.bend as PROOF
Lines 455-460 of bend-osdev-array@0.1.0.1/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&start_line=455&end_line=460

import Base

def AP.z1(n: Nat) -> {Word.adc(n, Word.zero(n), Word.zero(n), True{}, True{}) == Word.zero(n) : Word(n)}:
  match n:
    case 0n:
      {==}
    case 1n+ +q:
      AP.wcon_cong(q, False{}, Word.adc(q, Word.zero(q), Word.zero(q), True{}, True{}), Word.zero(q), AP.z1(q))

Uses (6):
  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=Word
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.adc
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.zero
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.wcon_cong