PROOF.tr.xts_d2: def of bend-osdev-cipher-modes@0.1.0.0
Import: import bend-osdev-cipher-modes@0.1.0.0/PROOF.bend as PROOF
Lines 1140-1149 of bend-osdev-cipher-modes@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-cipher-modes@0.1.0.0/PROOF.bend&start_line=1140&end_line=1149

import Base
import bend-osdev-bytes@0.1.0.0/bytes.bend as B
import bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend as M
import bend-osdev-cipher-modes@0.1.0.0/xts.bend as T

def tr.xts_d2(~K: Data, ~dec: K -> M.CmBlock -> M.CmBlock, +k: K, +t: M.CmBlock, s: M.CmSplit, +n: Nat) -> {T.xts.d2(~K, ~dec, k, t, s, n) == T.xts.d2.fast(~K, ~dec, k, t, s, n) : Result<&2, &2, M.CmError, B.Octets>}:
  match s:
    case M.CmSplit{bs, +tail}:
      match bs:
        case Nil{}:
          {==}
        case Con{+c, +rest}:
          %tr.init_eq(rest, c) : {Done{B.Octets.of_list(T.xts.dout(~K, ~dec, k, t, T.xts.init(rest, c), T.xts.last(rest, c), tail))} == Done{B.Octets.of_list(T.xts.dout.fast(~K, ~dec, k, t, _, T.xts.last(rest, c), tail))} : Result<&2, &2, M.CmError, B.Octets>}
          %tr.xts_dout(~K, ~dec, k, t, T.xts.init(rest, c), T.xts.last(rest, c), tail) : {Done{B.Octets.of_list(T.xts.dout(~K, ~dec, k, t, T.xts.init(rest, c), T.xts.last(rest, c), tail))} == Done{B.Octets.of_list(_)} : Result<&2, &2, M.CmError, B.Octets>}
          {==}

Uses (16):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Result
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets.of_list
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/PROOF.bend&name=tr.init_eq
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/PROOF.bend&name=tr.xts_dout
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend&name=CmBlock
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend&name=CmError
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend&name=CmSplit
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/xts.bend&name=xts.d2
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/xts.bend&name=xts.d2.fast
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/xts.bend&name=xts.dout
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/xts.bend&name=xts.dout.fast
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/xts.bend&name=xts.init
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/xts.bend&name=xts.last