PROOF.bitw.fls_zero: def of bend-osdev-algo@0.1.0.0
Import: import bend-osdev-algo@0.1.0.0/PROOF.bend as PROOF
Lines 360-372 of bend-osdev-algo@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-algo@0.1.0.0/PROOF.bend&start_line=360&end_line=372

import Base
import bend-osdev-algo@0.1.0.0/algo.bend as A

def bitw.fls_zero(n: Nat, w: Word(n), e: {A.bitw.fls(n, w) == 0n : Nat}) -> {w == Word.zero(n) : Word(n)}:
  match n:
    case 0n:
      match w:
        case WNil{}:
          {==}
    case 1n+ +p:
      match w:
        case WCon{+b, +t}:
          +e2 = e
          %bitw.fls_zero(p, t, bitw.fls_zero.m(A.bitw.fls(p, t), b, e2)) : {WCon{b, t} == WCon{False{}, _} : Word(1n+p)}
          %bitw.fls_zero.b(A.bitw.fls(p, t), b, e2) : {WCon{b, t} == WCon{_, t} : Word(1n+p)}
          {==}

Uses (9):
  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.Nil
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.zero
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-algo@0.1.0.0/PROOF.bend&name=bitw.fls_zero.b
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-algo@0.1.0.0/PROOF.bend&name=bitw.fls_zero.m
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-algo@0.1.0.0/algo.bend&name=bitw.fls