Gf.constant_false_xor: 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 250-255 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=250&end_line=255

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/crypto/aes/poly.bend as P

def constant_false_xor(+n: Nat) -> {Word.xor(n, P.constant(n, False{}), Word.zero(n)) == Word.zero(n) : Word(n)}:
  match n:
    case 0n:
      {==}
    case 1n+p:
      xor_zero_l(1n+p, Word.zero(1n+p))

Uses (7):
  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.xor
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.zero
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/aes/gf.bend&name=xor_zero_l
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/aes/poly.bend&name=constant