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
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,
list: T List,
atom: Atom$n,
all: ∀x:A. B[x],
implies: P ⇒ Q,
unit: Unit,
function: x:A ─→ B[x],
union: left + right
Lemmas :
less_than_transitivity1,
length_wf,
ses-act_wf,
protocol-action_wf,
le_weakening,
lelt_wf,
select_wf,
sq_stable__le,
subtype_base_sq,
int_subtype_base,
eq_atom_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_atom,
not_wf,
less_than_wf,
false_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
assert_wf,
in-eclass_wf,
ses-info_wf,
ses-send_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
top_wf,
subtype_top,
sdata_wf,
ses-rcv_wf,
ses-encrypt_wf,
encryption-key_wf,
ses-decrypt_wf,
ses-sign_wf,
Id_wf,
eclass-val_wf,
subtype_rel-equal,
ses-verify_wf,
ses-new_wf,
equal-wf-base,
ses-sign-is-protocol-action,
product_subtype_base,
sdata_subtype_base,
atom2_subtype_base,
atom1_subtype_base,
less_than_transitivity2,
le_weakening2,
isl_wf,
unit_wf2,
ses-signed_wf,
bfalse_wf,
and_wf,
assert_elim,
btrue_neq_bfalse,
all_wf,
int_seg_wf,
decidable__le,
not-le-2,
condition-implies-le,
minus-add,
minus-one-mul,
add-swap,
add-commutes,
zero-add,
add_functionality_wrt_le,
add-associates,
add-zero,
le-add-cancel,
atom_subtype_base,
equal-wf-T-base,
member_wf,
pi1_wf_top,
subtype_rel_product,
squash_wf,
true_wf,
outl_wf
Latex:
\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:
2015_07_23-PM-00_17_18
Last ObjectModification:
2015_02_04-PM-03_30_56
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