Gf.xor_zero_l: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/aes/gf.bend as Gf
Lines 95-101 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/aes/gf.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/aes/gf.bend&start_line=95&end_line=101

import Base

def xor_zero_l(+n: Nat, +w: Word(n)) -> {Word.xor(n, Word.zero(n), w) == w : Word(n)}:
  match n w:
    case 0n WNil{}:
      {==}
    case 1n+p WCon{b, t}:
      %xor_zero_l(p, t) : {WCon{b, Word.xor(p, Word.zero(p), t)} == WCon{b, _} : Word(1n+p)}
      {==}

Uses (6):
  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=Base/base.bend&name=Word.zero