PROOF.bx.rword: def of bend-osdev-mode-core@0.1.0.0
Import: import bend-osdev-mode-core@0.1.0.0/PROOF.bend as PROOF
Lines 670-681 of bend-osdev-mode-core@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-mode-core@0.1.0.0/PROOF.bend&start_line=670&end_line=681

import Base

def bx.rword(n: Nat, a: Word(n), b: Word(n)) -> {Word.xor(n, Word.xor(n, a, b), b) == a : Word(n)}:
  match n:
    case 0n:
      match a:
        case WNil{}:
          {==}
    case 1n+p:
      match a b:
        case WCon{ah, at} WCon{bh, bt}:
          %bx.rbool(ah, bh) : {WCon{Bool.xor(Bool.xor(ah, bh), bh), Word.xor(p, Word.xor(p, at, bt), bt)} == WCon{_, at} : Word(1n+p)}
          %bx.rword(p, at, bt) : {WCon{Bool.xor(Bool.xor(ah, bh), bh), Word.xor(p, Word.xor(p, at, bt), bt)} == WCon{Bool.xor(Bool.xor(ah, bh), bh), _} : Word(1n+p)}
          {==}

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.xor
  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.xor
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-mode-core@0.1.0.0/PROOF.bend&name=bx.rbool