PROOF.li.len_enc: 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 1463-1469 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=1463&end_line=1469

import Base
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 li.len_enc(~K: Data, ~enc: K -> M.CmBlock -> M.CmBlock, +k: K, bs: List<&2, M.CmBlock>, +t: M.CmBlock) -> {List.length(&2, M.CmBlock, T.xts.enc(~K, ~enc, k, bs, t)) == List.length(&2, M.CmBlock, bs) : Nat}:
  match bs:
    case Nil{}:
      {==}
    case Con{+p, +rest}:
      %li.len_enc(~K, ~enc, k, rest, T.Xts.mul_alpha(t)) : {1n+List.length(&2, M.CmBlock, T.xts.enc(~K, ~enc, k, rest, T.Xts.mul_alpha(t))) == 1n+_ : Nat}
      {==}

Uses (6):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.length
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  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/xts.bend&name=Xts.mul_alpha
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/xts.bend&name=xts.enc