Gf.wscale_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 189-198 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=189&end_line=198

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

def wscale_xor(+n: Nat, +c: Bool, +d: Bool, +w: Word(n)) -> {P.wscale(n, Bool.xor(c, d), w) == Word.xor(n, P.wscale(n, c, w), P.wscale(n, d, w)) : Word(n)}:
  match c d:
    case True{} True{}:
      Equal.sym(Word(n), Word.xor(n, w, w), Word.zero(n), xor_self(n, w))
    case True{} False{}:
      Equal.sym(Word(n), Word.xor(n, w, Word.zero(n)), w, xor_zero_r(n, w))
    case False{} True{}:
      Equal.sym(Word(n), Word.xor(n, Word.zero(n), w), w, xor_zero_l(n, w))
    case False{} False{}:
      Equal.sym(Word(n), Word.xor(n, Word.zero(n), Word.zero(n)), Word.zero(n), xor_zero_l(n, Word.zero(n)))

Uses (11):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.xor
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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_self
  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/proofs/crypto/aes/gf.bend&name=xor_zero_r
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/aes/poly.bend&name=wscale