Gf.bxor_assoc: 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 32-49 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=32&end_line=49

import Base

def bxor_assoc(+a: Bool, +b: Bool, +c: Bool) -> {Bool.xor(Bool.xor(a, b), c) == Bool.xor(a, Bool.xor(b, c)) : Bool}:
  match a b c:
    case True{} True{} True{}:
      {==}
    case True{} True{} False{}:
      {==}
    case True{} False{} True{}:
      {==}
    case True{} False{} False{}:
      {==}
    case False{} True{} True{}:
      {==}
    case False{} True{} False{}:
      {==}
    case False{} False{} True{}:
      {==}
    case False{} False{} False{}:
      {==}

Uses (2):
  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