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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