PROOF.tr.xts_dout: 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 1123-1127 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=1123&end_line=1127

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 tr.xts_dout(~K: Data, ~dec: K -> M.CmBlock -> M.CmBlock, +k: K, +t: M.CmBlock, +init: List<&2, M.CmBlock>, +last: M.CmBlock, +tail: List<&2, U32>) -> {T.xts.dout(~K, ~dec, k, t, init, last, tail) == T.xts.dout.fast(~K, ~dec, k, t, init, last, tail) : List<&2, U32>}:
  %tr.len_eq(init) : {T.xts.dout(~K, ~dec, k, t, init, last, tail) == M.cm.join_onto.fast(T.xts.dec.fast(~K, ~dec, k, init, t), T.xts.dsteal(~K, ~dec, k, last, tail, T.xts.alpha_n(_, t))) : List<&2, U32>}
  %tr.xts_dec_eq(~K, ~dec, k, init, t) : {T.xts.dout(~K, ~dec, k, t, init, last, tail) == M.cm.join_onto.fast(_, T.xts.dsteal(~K, ~dec, k, last, tail, T.xts.alpha_n(List.length(&2, M.CmBlock, init), t))) : List<&2, U32>}
  %tr.join_eq(T.xts.dec(~K, ~dec, k, init, t), T.xts.dsteal(~K, ~dec, k, last, tail, T.xts.alpha_n(List.length(&2, M.CmBlock, init), t))) : {T.xts.dout(~K, ~dec, k, t, init, last, tail) == _ : List<&2, U32>}
  {==}

Uses (14):
  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=U32
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/PROOF.bend&name=tr.join_eq
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/PROOF.bend&name=tr.len_eq
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/PROOF.bend&name=tr.xts_dec_eq
  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=cm.join_onto.fast
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/xts.bend&name=xts.alpha_n
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/xts.bend&name=xts.dec
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/xts.bend&name=xts.dec.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.dsteal