PROOF.dec_enc_out: def of bend-osdev-aead@0.1.0.0
Import: import bend-osdev-aead@0.1.0.0/PROOF.bend as PROOF
Lines 276-283 of bend-osdev-aead@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-aead@0.1.0.0/PROOF.bend&start_line=276&end_line=283

import Base
import bend-osdev-bytes@0.1.0.0/bytes.bend as B
import bend-osdev-aead@0.1.0.0/aesround.bend as R
import bend-osdev-aead@0.1.0.0/aegis128.bend as G

def dec_enc_out(xs: List<&2, U32>, +sb: R.AdSbox, +r: G.AdAegisRun) -> {B.mask(xs) == G.ad.ae.dout(G.ad.ae.eout(xs, sb, r), sb, r) : List<&2, U32>}:
  match xs:
    case Nil{}:
      {==}
    case Con{+x, t}:
      %byte_xx(x, G.ad.ae.zhead(r)) : {Con{B.byte(x), B.mask(t)} == Con{_, G.ad.ae.dout(G.ad.ae.eout(t, sb, G.ad.ae.step(sb, r, B.byte(x))), sb, G.ad.ae.step(sb, r, _))} : List<&2, U32>}
      %dec_enc_out(t, sb, G.ad.ae.step(sb, r, B.byte(x))) : {Con{B.byte(x), B.mask(t)} == Con{B.byte(x), _} : List<&2, U32>}
      {==}

Uses (11):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aead@0.1.0.0/PROOF.bend&name=byte_xx
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aead@0.1.0.0/aegis128.bend&name=AdAegisRun
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aead@0.1.0.0/aegis128.bend&name=ad.ae.dout
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aead@0.1.0.0/aegis128.bend&name=ad.ae.eout
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aead@0.1.0.0/aegis128.bend&name=ad.ae.step
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aead@0.1.0.0/aegis128.bend&name=ad.ae.zhead
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aead@0.1.0.0/aesround.bend&name=AdSbox
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=byte
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=mask