def AP.spz
import bend-osdev-array@0.1.0.1/PROOF.bend as PROOFimport Base
357def AP.spz(n: Nat) -> {Word.shl.put(n, True{}, Word.zero(n)) == AP.pw(n, 0n) : Word(n)}:
358 match n:
359 case 0n:
360 {==}
361 case 1n+ +q:
362 AP.wcon_cong(q, True{}, Word.shl.put(q, False{}, Word.zero(q)), Word.zero(q), AP.spzz(q))