Nuprl Lemma : signature-release-lemma2
∀s:SecurityTheory. ∀bss:Basic1 List.
((Legal(bss) ∧ FreshSignatures(bss))
⇒ (∀A:Id
(Protocol1(bss) A)
⇒ (∀es:EO+(Info). ∀thr:Thread.
((thr is one of bss at A) ⇒ sig-release-thread(sth-es(s);es;A;thr) supposing loc(thr)= A))
supposing Honest(A)))
Proof
Definitions occuring in Statement :
sig-release-thread: sig-release-thread(s;es;A;thr),
fresh-sig-protocol1: FreshSignatures(bss),
ses-protocol1-legal: Legal(bss),
ses-protocol1: Protocol1(bss),
ses-protocol1-thread: (thr is one of bss at A),
ses-basic-sequence1: Basic1,
ses-thread-loc: loc(thr)= A,
ses-thread: Thread,
sth-es: sth-es(s),
security-theory: SecurityTheory,
ses-honest: Honest(A),
ses-info: Info,
event-ordering+: EO+(Info),
Id: Id,
list: T List,
uimplies: b supposing a,
all: ∀x:A. B[x],
implies: P ⇒ Q,
and: P ∧ Q,
apply: f a
Lemmas :
signature-release-lemma,
fresh-sig-protocol1_property,
ses-flow-axiom-ordering,
event-has_wf,
ses-sig_wf,
select_wf,
sq_stable__le,
less_than_transitivity2,
le_weakening2,
assert_wf,
in-eclass_wf,
ses-info_wf,
ses-sign_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
top_wf,
subtype_top,
sdata_wf,
Id_wf,
not_wf,
equal_wf,
es-loc_wf,
all_wf,
int_seg_wf,
ses-send_wf,
decidable__le,
false_wf,
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,
length_wf,
ses-act_wf,
ses-thread-loc_wf,
ses-protocol1-thread_wf,
ses-thread_wf,
ses-protocol1_wf,
ses-honest_wf,
ses-protocol1-legal_wf,
fresh-sig-protocol1_wf,
list_wf,
ses-basic-sequence1_wf,
security-theory_wf,
and_wf,
pi2_wf,
lelt_wf,
ses-flow-has*,
squash_wf,
true_wf,
event_ordering_wf,
es-le-loc,
es-E-interface_wf,
security-event-structure_wf,
iff_weakening_equal,
decidable__es-le,
decidable__es-locl,
es-le-not-locl,
event-has*_wf,
es-locl_wf,
es-causl_transitivity1,
es-causle_weakening_locl
Latex:
\mforall{}s:SecurityTheory. \mforall{}bss:Basic1 List.
((Legal(bss) \mwedge{} FreshSignatures(bss))
{}\mRightarrow{} (\mforall{}A:Id
(Protocol1(bss) A)
{}\mRightarrow{} (\mforall{}es:EO+(Info). \mforall{}thr:Thread.
((thr is one of bss at A)
{}\mRightarrow{} sig-release-thread(sth-es(s);es;A;thr) supposing loc(thr)= A))
supposing Honest(A)))
Date html generated:
2015_07_23-PM-00_19_57
Last ObjectModification:
2015_02_04-PM-03_15_23
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