PROOF.tr.d2: def of bend-osdev-cipher-modes@0.1.0.0
Import: import bend-osdev-cipher-modes@0.1.0.0/PROOF.bend as PROOF
Lines 1265-1272 of bend-osdev-cipher-modes@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-cipher-modes@0.1.0.0/PROOF.bend&start_line=1265&end_line=1272

import Base
import bend-osdev-bytes@0.1.0.0/bytes.bend as B
import bend-osdev-bytes@0.1.0.0/LAWS.bend as BL
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

def tr.d2(~K: Data, ~enc: K -> M.CmBlock -> M.CmBlock, ok: Bool, +k: K, +m: Nat, +nv: List<&2, U32>, +av: List<&2, U32>, +cv: List<&2, U32>) -> {CC.ccm.d2(~K, ~enc, ok, k, m, nv, av, cv) == CC.ccm.d2.fast(~K, ~enc, ok, k, m, nv, av, cv) : Result<&2, &2, M.CmError, B.Octets>}:
  match ok:
    case False{}:
      %BL.len_fast(cv) : {CC.ccm.d2(~K, ~enc, False{}, k, m, nv, av, cv) == Fail{M.CmTooShort{_}} : Result<&2, &2, M.CmError, B.Octets>}
      {==}
    case True{}:
      %BL.len_fast(cv) : {CC.ccm.d2(~K, ~enc, True{}, k, m, nv, av, cv) == CC.ccm.d3.fast(~K, ~enc, k, m, nv, av, cv, CC.ccm.checks(m, B.len(nv), Nat.sub(_, m))) : Result<&2, &2, M.CmError, B.Octets>}
      tr.d3(~K, ~enc, k, m, nv, av, cv, CC.ccm.checks(m, B.len(nv), Nat.sub(B.len(cv), m)))

Uses (16):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=Base/base.bend&name=Result
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/LAWS.bend&name=len_fast
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=len
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/PROOF.bend&name=tr.d3
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/ccm.bend&name=ccm.checks
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/ccm.bend&name=ccm.d2
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/ccm.bend&name=ccm.d2.fast
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/ccm.bend&name=ccm.d3.fast
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend&name=CmBlock
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend&name=CmError