Nuprl Lemma : CR-protocol-fresh
∀s:SES
(ActionsDisjoint
⇒ FreshSignatures([CR-initiator1{i:l}(s);
CR-initiator2{i:l}(s);
CR-initiator3;
CR-responder1{i:l}(s);
CR-responder2{i:l}(s);
CR-responder3]))
Proof
Definitions occuring in Statement :
CR-responder3: CR-responder3,
CR-responder2: CR-responder2{i:l}(s),
CR-responder1: CR-responder1{i:l}(s),
CR-initiator3: CR-initiator3,
CR-initiator2: CR-initiator2{i:l}(s),
CR-initiator1: CR-initiator1{i:l}(s),
fresh-sig-protocol1: FreshSignatures(bss),
ses-disjoint: ActionsDisjoint,
security-event-structure: SES,
cons: [a / b],
nil: [],
all: ∀x:A. B[x],
implies: P ⇒ Q
Lemmas :
lt_int_wf,
length_wf,
sdata-atoms_wf,
bool_wf,
eqtt_to_assert,
assert_of_lt_int,
select_wf,
false_wf,
unit_wf2,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
less_than_wf,
it_wf,
sdata_wf,
l_exists_iff,
l_member_wf,
ses-basic-sequence1_wf,
is-basic-seq_wf,
cons_member,
nil_member,
or_wf,
ses-is-protocol-actions-fresh,
cons_wf,
protocol-action_wf,
mk-pa_wf,
atom-sdata_wf,
nil_wf,
assert-ses-is-fresh,
list_ind_cons_lemma,
list_ind_nil_lemma,
sdata-pair_wf,
id-sdata_wf,
ses-protocol1-thread_wf,
CR-initiator1_wf,
CR-initiator2_wf,
CR-initiator3_wf,
CR-responder1_wf,
CR-responder2_wf,
CR-responder3_wf,
Id_wf,
ses-thread_wf,
event-ordering+_wf,
ses-info_wf,
all_wf,
ses-fresh-thread_wf,
ses-disjoint_wf,
security-event-structure_wf
Latex:
\mforall{}s:SES
(ActionsDisjoint
{}\mRightarrow{} FreshSignatures([CR-initiator1\{i:l\}(s);
CR-initiator2\{i:l\}(s);
CR-initiator3;
CR-responder1\{i:l\}(s);
CR-responder2\{i:l\}(s);
CR-responder3]))
Date html generated:
2015_07_23-PM-00_20_57
Last ObjectModification:
2015_01_29-AM-01_33_50
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