PROOF.ap.cipher_out: def of bend-osdev-aes@0.1.0.0
Import: import bend-osdev-aes@0.1.0.0/PROOF.bend as PROOF
Lines 2167-2173 of bend-osdev-aes@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-aes@0.1.0.0/PROOF.bend&start_line=2167&end_line=2173

import Base
import bend-osdev-aes@0.1.0.0/aes.bend as X
import bend-collections@1.0.0.0/src/crypto/aes/aes.bend as A
import bend-collections@1.0.0.0/src/crypto/aes/types.bend as TT

def ap.cipher_out(+nr: Nat, ks: List<&2, TT.State>, +s: TT.State) -> {A.cipher(nr, X.aes.mask(s), X.aes.mask_keys(ks)) == X.aes.mask(A.cipher(nr, X.aes.mask(s), X.aes.mask_keys(ks))) : TT.State}:
  match ks:
    case Con{+k, rest}:
      %Equal.sym(TT.State, A.add_round_key(X.aes.mask(s), X.aes.mask(k)), X.aes.mask(A.add_round_key(X.aes.mask(s), X.aes.mask(k))), ap.arkl(s, k)) : {A.rounds(Nat.sub(nr, 1n), _, X.aes.mask_keys(rest)) == X.aes.mask(A.rounds(Nat.sub(nr, 1n), _, X.aes.mask_keys(rest))) : TT.State}
      ap.rounds_out(Nat.sub(nr, 1n), rest, A.add_round_key(X.aes.mask(s), X.aes.mask(k)))
    case Nil{}:
      Equal.sym(TT.State, X.aes.mask(X.aes.mask(s)), X.aes.mask(s), ap.mm(s))

Uses (13):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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=Nat.sub
  https://jend.leeeet.dev/definition.txt?path=bend-collections@1.0.0.0/src/crypto/aes/aes.bend&name=add_round_key
  https://jend.leeeet.dev/definition.txt?path=bend-collections@1.0.0.0/src/crypto/aes/aes.bend&name=cipher
  https://jend.leeeet.dev/definition.txt?path=bend-collections@1.0.0.0/src/crypto/aes/aes.bend&name=rounds
  https://jend.leeeet.dev/definition.txt?path=bend-collections@1.0.0.0/src/crypto/aes/types.bend&name=State
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aes@0.1.0.0/PROOF.bend&name=ap.arkl
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aes@0.1.0.0/PROOF.bend&name=ap.mm
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aes@0.1.0.0/PROOF.bend&name=ap.rounds_out
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aes@0.1.0.0/aes.bend&name=aes.mask
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aes@0.1.0.0/aes.bend&name=aes.mask_keys