ProofFastW2.ej_xor: law of lawful-bytes@0.1.1.0
Import: import lawful-bytes@0.1.1.0/proof_fast_w2.bend as ProofFastW2
Lines 238-244 of lawful-bytes@0.1.1.0/proof_fast_w2.bend: https://jend.leeeet.dev/read.txt?path=lawful-bytes@0.1.1.0/proof_fast_w2.bend&start_line=238&end_line=244

import Base
import lawful-words@0.1.0.0/defs.bend as W
import lawful-bytes@0.1.1.0/fast.bend as FA

law ej_xor:
  for +w: U32
  for +c: U32
  for +j: Nat
  for +hc: {U32.is_lt(c, 256) == True{} : Bool}
  for +hj: {Nat.is_lt(j, 4n) == True{} : Bool}
  {U32.is_eq(W.byte(U32.xor(w, FA.rep(c)), j), 0) == U32.is_eq(W.byte(w, j), c) : Bool}

Uses (13):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.xor
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/fast.bend&name=rep
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_fast_w2.bend&name=rep_byte
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/defs.bend&name=byte
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_bytes.bend&name=byte_xor
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_u32.bend&name=is_zero_xor