{ 
s:SES
(ActionsDisjoint
(es:EO+(Info). x,y:E.
(same-action(x;y) (e:E. ((e ->> x) (e ->> y)))))) }
{ Proof }
Definitions occuring in Statement :
ses-disjoint: ActionsDisjoint,
ses-info-flow: ->>,
same-action: same-action(x;y),
ses-info: Info,
security-event-structure: SES,
event-ordering+: EO+(Info),
es-E: E,
infix_ap: x f y,
all: x:A. B[x],
implies: P Q
Definitions :
member: t 
T,
es-E: E,
event-ordering+: EO+(Info),
same-action: same-action(x;y),
assert: 
b,
event-has: (e has a),
equal: s = t,
function: x:A 
B[x],
all: x:A. B[x],
top: Top,
security-event-structure: SES,
ses-disjoint: ActionsDisjoint,
atom: Atom$n,
encryption-key: Key,
product: x:A 
B[x],
sdata: SecurityData,
void: Void,
isect: 
x:A. B[x],
subtype_rel: A 
r B,
apply: f a,
record-select: r.x,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
ifthenelse: if b then t else f fi ,
union: left + right,
or: P 
Q,
dep-isect: Error :dep-isect,
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
record+: record+,
false: False,
not: 
A,
ses-info: Info,
ses-encrypt: Encrypt,
implies: P Q,
eclass: EClass(A[eo; e]),
es-E-interface: E(X),
so_lambda: 
x y.t[x; y],
in-eclass: e 
X,
universe: Type,
prop: 
,
set: {x:A| B[x]} ,
ses-crypt: cipherText(e),
and: P 
Q,
class-value-has: X(e) has a,
event_ordering: EO,
token: "$token",
atom: Atom,
cand: A c B,
strong-subtype: strong-subtype(A;B),
rev_implies: P 
Q,
iff: P Q,
l_member: (x l),
so_apply: x[s],
guard: {T},
eq_knd: a = b,
fpf-dom: x dom(f),
fpf: a:A fp-> B[a],
subtype: S T,
lambda: x.A[x],
infix_ap: x f y,
ses-info-flow: ->>,
MaAuto: Error :MaAuto,
CollapseTHEN: Error :CollapseTHEN,
RepUR: Error :RepUR
Lemmas :
event-ordering+_inc,
es-E-interface_wf,
event-has_wf,
same-action_wf,
es-E_wf,
subtype_rel_self,
event-ordering+_wf,
ses-disjoint_wf,
security-event-structure_wf,
event-has_functionality,
ses-crypt_wf,
assert_wf,
in-eclass_wf,
eclass_wf,
member_wf,
es-interface-top,
es-interface-subtype_rel,
ses-encrypt_wf,
ses-info_wf,
subtype_rel_wf,
sdata_wf,
encryption-key_wf,
top_wf
\mforall{}s:SES
(ActionsDisjoint
{}\mRightarrow{} (\mforall{}es:EO+(Info). \mforall{}x,y:E. (same-action(x;y) {}\mRightarrow{} (\mforall{}e:E. ((e ->> x) {}\mRightarrow{} (e ->> y))))))
Date html generated:
2011_08_17-PM-07_29_11
Last ObjectModification:
2010_09_24-PM-02_46_48
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