ProofBytes.byte_not.k: def of lawful-words@0.1.0.0
Import: import lawful-words@0.1.0.0/proof_bytes.bend as ProofBytes
Lines 644-658 of lawful-words@0.1.0.0/proof_bytes.bend: https://jend.leeeet.dev/read.txt?path=lawful-words@0.1.0.0/proof_bytes.bend&start_line=644&end_line=658

import Base
import lawful-words@0.1.0.0/defs.bend as D
import lawful-words@0.1.0.0/proof_u32.bend as U

def byte_not.k(+a: U32, +j: Nat, +hj: {Nat.is_lt(j, 4n) == True{} : Bool}, +k: Nat) ->
  {D.bit(D.byte(U32.not(a), j), k) == D.bit(U32.xor(D.byte(a, j), 255), k) : Bool}:
  +l = Nat.is_lt(k, 8n)
  +i = Nat.add(Nat.mul(8n, j), k)
  %Equal.sym(Bool, D.bit(D.byte(U32.not(a), j), k), Bool.and(l, D.bit(U32.not(a), i)), bit_byte(U32.not(a), j, k)) :
    {_ == D.bit(U32.xor(D.byte(a, j), 255), k) : Bool}
  %Equal.sym(Bool, D.bit(U32.not(a), i), Bool.and(Nat.is_lt(i, 32n), Bool.not(D.bit(a, i))), U.bit_not(a, i)) :
    {Bool.and(l, _) == D.bit(U32.xor(D.byte(a, j), 255), k) : Bool}
  %Equal.sym(Bool, D.bit(U32.xor(D.byte(a, j), 255), k), Bool.xor(D.bit(D.byte(a, j), k), D.bit(255, k)), U.bit_xor(D.byte(a, j), 255, k)) :
    {Bool.and(l, Bool.and(Nat.is_lt(i, 32n), Bool.not(D.bit(a, i)))) == _ : Bool}
  %Equal.sym(Bool, D.bit(D.byte(a, j), k), Bool.and(l, D.bit(a, i)), bit_byte(a, j, k)) :
    {Bool.and(l, Bool.and(Nat.is_lt(i, 32n), Bool.not(D.bit(a, i)))) == Bool.xor(_, D.bit(255, k)) : Bool}
  %Equal.sym(Bool, D.bit(255, k), l, bit_255(k)) :
    {Bool.and(l, Bool.and(Nat.is_lt(i, 32n), Bool.not(D.bit(a, i)))) == Bool.xor(Bool.and(l, D.bit(a, i)), _) : Bool}
  bnot_byte(l, Nat.is_lt(i, 32n), D.bit(a, i), hk => idx32(j, k, hj, hk))

Uses (20):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.not
  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=Nat.add
  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=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.not
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.xor
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/defs.bend&name=bit
  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=bit_255
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_bytes.bend&name=bit_byte
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_bytes.bend&name=bnot_byte
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_bytes.bend&name=idx32
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_u32.bend&name=bit_not
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_u32.bend&name=bit_xor