PROOF.word_and_zero: def of bend-osdev-gf@0.1.1.0
Import: import bend-osdev-gf@0.1.1.0/PROOF.bend as PROOF
Lines 6457-6465 of bend-osdev-gf@0.1.1.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&start_line=6457&end_line=6465

import Base

def word_and_zero(+n: Nat, +r: Word(n)) -> {Word.and(n, Word.zero(n), r) == Word.zero(n) : Word(n)}:
  match n:
    case 0n:
      {==}
    case 1n+p:
      match r:
        case WCon{+x, +rt}:
          %word_and_zero(p, rt) : {WCon{False{}, Word.and(p, Word.zero(p), rt)} == WCon{False{}, _} : Word(1n+p)}
          {==}

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.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