def ap.cipher_inv

bend-osdev-aes@0.1.0.0 · PROOF.bend:2175

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

2175def ap.cipher_inv(+nr: Nat, ks: List<&2, TT.State>, +s: TT.State) -> {X.aes.inv_cipher(nr, X.aes.mask_keys(ks), A.cipher(nr, X.aes.mask(s), X.aes.mask_keys(ks))) == X.aes.mask(s) : TT.State}:
2176  match ks:
2177    case Con{+k, rest}:
2178      %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)) : {X.aes.mask(A.add_round_key(X.aes.inv_rounds(Nat.sub(nr, 1n), X.aes.mask_keys(rest), A.rounds(Nat.sub(nr, 1n), _, X.aes.mask_keys(rest))), X.aes.mask(k))) == X.aes.mask(s) : TT.State}
2179      %Equal.sym(TT.State, X.aes.inv_rounds(Nat.sub(nr, 1n), X.aes.mask_keys(rest), A.rounds(Nat.sub(nr, 1n), X.aes.mask(A.add_round_key(X.aes.mask(s), X.aes.mask(k))), X.aes.mask_keys(rest))), X.aes.mask(A.add_round_key(X.aes.mask(s), X.aes.mask(k))), ap.rounds_inv(Nat.sub(nr, 1n), rest, A.add_round_key(X.aes.mask(s), X.aes.mask(k)))) : {X.aes.mask(A.add_round_key(_, X.aes.mask(k))) == X.aes.mask(s) : TT.State}
2180      %ap.arkl(s, k) : {X.aes.mask(A.add_round_key(_, X.aes.mask(k))) == X.aes.mask(s) : TT.State}
2181      %Equal.sym(TT.State, A.add_round_key(A.add_round_key(X.aes.mask(s), X.aes.mask(k)), X.aes.mask(k)), X.aes.mask(s), ap.ark2(X.aes.mask(s), X.aes.mask(k))) : {X.aes.mask(_) == X.aes.mask(s) : TT.State}
2182      ap.mm(s)
2183    case Nil{}:
2184      ap.mm(s)