Nuprl Lemma : ses-is-protocol-actions-fresh

s:SES
  (ActionsDisjoint
   (pas:ProtocolAction List. es:EO+(Info). thr:Thread. A:Id.
        (pas(thr)  (f:SecurityData  (Atom1?). (ses-fresh-sequence(f;A;pas)  ses-fresh-thread(s;es;f;A;thr))))))


Proof not projected




Definitions occuring in Statement :  ses-fresh-thread: ses-fresh-thread(s;es;f;A;thr),  ses-is-protocol-actions: pas(thr),  ses-fresh-sequence: ses-fresh-sequence(f;A;pas),  protocol-action: ProtocolAction,  ses-thread: Thread,  ses-disjoint: ActionsDisjoint,  ses-info: Info,  security-event-structure: SES,  sdata: SecurityData,  event-ordering+: EO+(Info),  Id: Id,  all: x:A. B[x],  implies: P  Q,  unit: Unit,  function: x:A  B[x],  union: left + right,  list: type List,  atom: Atom$n
Definitions :  all: x:A. B[x],  implies: P  Q,  ses-fresh-thread: ses-fresh-thread(s;es;f;A;thr),  and: P  Q,  int_seg: {i..j},  not: A,  member: t  T,  lelt: i  j < k,  le: A  B,  false: False,  top: Top,  so_lambda: x y.t[x; y],  subtype: S  T,  ses-is-protocol-action: pa(e),  pi1: fst(t),  ifthenelse: if b then t else f fi ,  guard: {T},  cand: A c B,  btrue: tt,  prop: ,  bfalse: ff,  ses-thread: Thread,  ses-is-protocol-actions: pas(thr),  ses-fresh-sequence: ses-fresh-sequence(f;A;pas),  ses-act: Act,  uall: [x:A]. B[x],  uimplies: b supposing a,  so_apply: x[s1;s2],  protocol-action: ProtocolAction,  ses-disjoint: ActionsDisjoint,  unit: Unit,  exists: x:A. B[x],  sq_type: SQType(T),  bool: ,  uiff: uiff(P;Q),  it:
Lemmas :  lelt_wf,  assert_wf,  in-eclass_wf,  ses-info_wf,  ses-sign_wf,  es-interface-subtype_rel2,  sdata_wf,  Id_wf,  es-E_wf,  event-ordering+_inc,  event-ordering+_wf,  top_wf,  select_wf,  ses-act_wf,  int_seg_wf,  ses-fresh-sequence_wf,  unit_wf2,  ses-is-protocol-actions_wf,  ses-thread_wf,  protocol-action_wf,  ses-disjoint_wf,  security-event-structure_wf,  subtype_base_sq,  int_subtype_base,  eq_atom_wf,  bool_wf,  uiff_transitivity,  equal_wf,  eqtt_to_assert,  assert_of_eq_atom,  ses-new_wf,  eclass-val_wf,  bnot_wf,  not_wf,  eqff_to_assert,  assert_of_bnot,  not_functionality_wrt_uiff,  ses-send_wf,  ses-rcv_wf,  ses-encrypt_wf,  encryption-key_wf,  ses-decrypt_wf,  subtype_rel_self,  ses-verify_wf

\mforall{}s:SES
    (ActionsDisjoint
    {}\mRightarrow{}  (\mforall{}pas:ProtocolAction  List.  \mforall{}es:EO+(Info).  \mforall{}thr:Thread.  \mforall{}A:Id.
                (pas(thr)
                {}\mRightarrow{}  (\mforall{}f:SecurityData  {}\mrightarrow{}  (Atom1?)
                            (ses-fresh-sequence(f;A;pas)  {}\mRightarrow{}  ses-fresh-thread(s;es;f;A;thr))))))


Date html generated: 2012_01_23-PM-01_40_38
Last ObjectModification: 2011_12_12-AM-08_25_01

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