PROOF.dec_enc_after: def of bend-osdev-aead@0.1.0.0
Import: import bend-osdev-aead@0.1.0.0/PROOF.bend as PROOF
Lines 266-274 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=266&end_line=274

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

# decryption runs through the states encryption ran through, and gives the
# message's bytes back
def dec_enc_after(xs: List<&2, U32>, +sb: R.AdSbox, +r: G.AdAegisRun) -> {G.ad.ae.eafter(xs, sb, r) == G.ad.ae.dafter(G.ad.ae.eout(xs, sb, r), sb, r) : G.AdAegisRun}:
  match xs:
    case Nil{}:
      {==}
    case Con{+x, t}:
      %byte_xx(x, G.ad.ae.zhead(r)) : {G.ad.ae.eafter(t, sb, G.ad.ae.step(sb, r, B.byte(x))) == G.ad.ae.dafter(G.ad.ae.eout(t, sb, G.ad.ae.step(sb, r, B.byte(x))), sb, G.ad.ae.step(sb, r, _)) : G.AdAegisRun}
      dec_enc_after(t, sb, G.ad.ae.step(sb, r, B.byte(x)))

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.dafter
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aead@0.1.0.0/aegis128.bend&name=ad.ae.eafter
  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