PROOF.li.init_last: 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 1455-1461 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=1455&end_line=1461

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.init_last(rest: List<&2, M.CmBlock>, +p: M.CmBlock) -> {List.append(&2, M.CmBlock, T.xts.init(rest, p), Con{T.xts.last(rest, p), Nil{}}) == Con{p, rest} : List<&2, M.CmBlock>}:
  match rest:
    case Nil{}:
      {==}
    case Con{+q, +r}:
      %li.init_last(r, q) : {Con{p, List.append(&2, M.CmBlock, T.xts.init(r, q), Con{T.xts.last(r, q), Nil{}})} == Con{p, _} : List<&2, M.CmBlock>}
      {==}

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.append
  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.init
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/xts.bend&name=xts.last