def ccmp.len_join

bend-osdev-cipher-modes@0.1.0.0 · PROOF.bend:1790

import Base
import bend-osdev-bytes@0.1.0.0/bytes.bend as B
import bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend as M
import bend-osdev-cipher-modes@0.1.0.0/ccm.bend as CC

1790def ccmp.len_join(~K: Data, ~enc: K -> M.CmBlock -> M.CmBlock, +k: K, bs: List<&2, M.CmBlock>, +a0: M.CmBlock, +i: U32, +x: List<&2, U32>, +y: List<&2, U32>, h: {B.len(x) == B.len(y) : Nat}) -> {B.len(M.cm.join_onto(CC.ccm.ctrb(~K, ~enc, k, bs, a0, i), x)) == B.len(M.cm.join_onto(bs, y)) : Nat}:
1791  match bs:
1792    case Nil{}:
1793      h
1794    case Con{+b, +rest}:
1795      %Equal.sym(Nat, B.len(M.cm.join_onto(CC.ccm.ctrb(~K, ~enc, k, rest, a0, U32.add(i, 1)), x)), B.len(M.cm.join_onto(rest, y)), ccmp.len_join(~K, ~enc, k, rest, a0, U32.add(i, 1), x, y, h)) : {Nat.add(16n, _) == Nat.add(16n, B.len(M.cm.join_onto(rest, y))) : Nat}
1796      {==}