Gf.put_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 139-145 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=139&end_line=145

import Base

def put_xor(+p: Nat, +c: Bool, +d: Bool, +s: Word(p), +t: Word(p)) -> {Word.shl.put(p, Bool.xor(c, d), Word.xor(p, s, t)) == Word.xor(p, Word.shl.put(p, c, s), Word.shl.put(p, d, t)) : Word(p)}:
  match p s t:
    case 0n WNil{} WNil{}:
      {==}
    case 1n+q WCon{x, s1} WCon{y, t1}:
      %put_xor(q, x, y, s1, t1) : {WCon{Bool.xor(c, d), Word.shl.put(q, Bool.xor(x, y), Word.xor(q, s1, t1))} == WCon{Bool.xor(c, d), _} : Word(1n+q)}
      {==}

Uses (8):
  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=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.shl.put
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.xor