PROOF.off.wand_zero: def of bend-osdev-bytes@0.1.1.0
Import: import bend-osdev-bytes@0.1.1.0/PROOF.bend as PROOF
Lines 1279-1287 of bend-osdev-bytes@0.1.1.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-bytes@0.1.1.0/PROOF.bend&start_line=1279&end_line=1287

import Base

def off.wand_zero(+n: Nat, w: Word(n)) -> {Word.and(n, w, Word.zero(n)) == Word.zero(n) : Word(n)}:
  match n:
    case 0n:
      {==}
    case 1n+p:
      match w:
        case WCon{+b, t}:
          %Equal.sym(Bool, Bool.and(b, False{}), False{}, off.band_f(b)) : {WCon{_, Word.and(p, t, Word.zero(p))} == Word.zero(1n+p) : Word(1n+p)}
          Equal.cong(Word(p), Word(1n+p), z => WCon{False{}, z}, Word.and(p, t, Word.zero(p)), Word.zero(p), off.wand_zero(p, t))

Uses (10):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  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=Word
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.Con
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.zero
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/PROOF.bend&name=off.band_f