Aead.xor_inv: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/aes/aead.bend as Aead
Lines 39-42 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/aes/aead.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/aes/aead.bend&start_line=39&end_line=42

import Base

def xor_inv(+x: U32, +k: U32) -> {U32.xor(U32.xor(x, k), k) == x : U32}:
  match x k:
    case U32{a} U32{b}:
      Equal.cong(Word(32n), U32, w => U32{w}, Word.xor(32n, Word.xor(32n, a, b), b), a, word_xor_inv(32n, a, b))

Uses (6):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.xor
  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=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/aes/aead.bend&name=word_xor_inv