Gf.constant_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 222-228 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=222&end_line=228

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

def constant_xor(+n: Nat, +c: Bool, +d: Bool) -> {P.constant(n, Bool.xor(c, d)) == Word.xor(n, P.constant(n, c), P.constant(n, d)) : Word(n)}:
  match n:
    case 0n:
      {==}
    case 1n+p:
      %Equal.sym(Word(p), Word.xor(p, Word.zero(p), Word.zero(p)), Word.zero(p), xor_zero_l(p, Word.zero(p))) : {WCon{Bool.xor(c, d), Word.zero(p)} == WCon{Bool.xor(c, d), _} : Word(1n+p)}
      {==}

Uses (10):
  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.Con
  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