PROOF.len_eout: def of bend-osdev-aead@0.1.0.0
Import: import bend-osdev-aead@0.1.0.0/PROOF.bend as PROOF
Lines 295-301 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=295&end_line=301

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 len_eout(xs: List<&2, U32>, +sb: R.AdSbox, +r: G.AdAegisRun) -> {B.len(xs) == B.len(G.ad.ae.eout(xs, sb, r)) : Nat}:
  match xs:
    case Nil{}:
      {==}
    case Con{+x, t}:
      %len_eout(t, sb, G.ad.ae.step(sb, r, B.byte(x))) : {1n+B.len(t) == 1n+_ : Nat}
      {==}

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  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/aegis128.bend&name=AdAegisRun
  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/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=len