PROOF.rc4_after_append: def of bend-osdev-legacy-ciphers@0.1.0.0
Import: import bend-osdev-legacy-ciphers@0.1.0.0/PROOF.bend as PROOF
Lines 8476-8481 of bend-osdev-legacy-ciphers@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/PROOF.bend&start_line=8476&end_line=8481

import Base
import bend-osdev-bytes@0.1.0.0/bytes.bend as B
import bend-osdev-legacy-ciphers@0.1.0.0/rc4.bend as R

def rc4_after_append(xs: List<&2, U32>, +ys: List<&2, U32>, +st: R.LcRc4State) -> {R.rc4.after(B.append(xs, ys), st) == R.rc4.after(ys, R.rc4.after(xs, st)) : R.LcRc4State}:
  match xs:
    case Nil{}:
      {==}
    case Con{x, t}:
      rc4_after_append(t, ys, R.rc4.step.st(R.rc4.next(st)))

Uses (7):
  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-bytes@0.1.1.1/bytes.bend&name=append
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/rc4.bend&name=LcRc4State
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/rc4.bend&name=rc4.after
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/rc4.bend&name=rc4.next
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-legacy-ciphers@0.1.0.0/rc4.bend&name=rc4.step.st