{ 
[s:SES]
[es:EO+(Info)]. [a,b:E(Encrypt)].
{(plainText(a) = plainText(b)) 
(key(a) = key(b))}
supposing cipherText(a) = cipherText(b)
supposing PropertyO }
{ Proof }
Definitions occuring in Statement :
ses-ordering: PropertyO,
ses-crypt: cipherText(e),
ses-encryption-key: key(e),
ses-encrypted: plainText(e),
ses-encrypt: Encrypt,
ses-info: Info,
security-event-structure: SES,
encryption-key: Key,
sdata: SecurityData,
es-E-interface: E(X),
event-ordering+: EO+(Info),
uimplies: b supposing a,
uall: [x:A]. B[x],
guard: {T},
and: P Q,
equal: s = t,
atom: Atom$n
Definitions :
tactic: Error :tactic,
isect: 
x:A. B[x],
uall: [x:A]. B[x],
equal: s = t,
member: t 
T,
function: x:A 
B[x],
all: x:A. B[x],
ses-ordering: PropertyO,
security-event-structure: SES,
product: x:A 
B[x],
prop: 
,
uimplies: b supposing a,
event-ordering+: EO+(Info),
ses-info: Info,
and: P Q,
implies: P 
Q,
or: P 
Q,
union: left + right,
exists: 
x:A. B[x],
es-le: e 
loc e' ,
es-locl: (e <loc e'),
es-causl: (e < e'),
event-has*: e has* a,
infix_ap: x f y,
record-select: r.x,
es-E-interface: E(X),
ses-encrypt: Encrypt,
top: Top,
record+: record+,
eq_atom: eq_atom$n(x;y),
eq_atom: x =a y,
dep-isect: Error :dep-isect,
eclass: EClass(A[eo; e]),
sdata: SecurityData,
encryption-key: Key,
atom: Atom$n,
so_lambda: 
x y.t[x; y],
subtype_rel: A 
r B,
es-E: E,
event_ordering: EO,
lambda: x.A[x],
ifthenelse: if b then t else f fi ,
token: "$token",
apply: f a,
atom: Atom,
universe: Type,
subtype: S T,
void: Void,
assert: 
b,
set: {x:A| B[x]} ,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
limited-type: LimitedType,
ses-crypt: cipherText(e),
guard: {T},
pair: <a, b>,
ses-encrypted: plainText(e),
axiom: Ax,
ses-encryption-key: key(e),
uiff: uiff(P;Q),
less_than: a < b,
not: 
A,
ge: i 
j ,
le: A B,
strong-subtype: strong-subtype(A;B),
bool: 
,
CollapseTHEN: Error :CollapseTHEN,
RepeatFor: Error :RepeatFor,
CollapseTHENA: Error :CollapseTHENA,
ParallelOp: Error :ParallelOp,
MaAuto: Error :MaAuto,
eclass-val: X(e),
fpf: a:A fp-> B[a],
RepUR: Error :RepUR,
Auto: Error :Auto,
so_lambda: x.t[x],
pi1: fst(t),
pi2: snd(t)
Lemmas :
pi1_wf_top,
pi1_wf,
pi2_wf,
ses-cipher-unique,
guard_wf,
ses-crypt_wf,
security-event-structure_wf,
ses-ordering_wf,
es-E-interface_wf,
eclass_wf,
member_wf,
es-interface-top,
es-interface-subtype_rel2,
ses-encrypt_wf,
subtype_rel_self,
event-ordering+_inc,
event-ordering+_wf,
subtype_rel_wf,
sdata_wf,
encryption-key_wf,
top_wf,
es-E_wf,
ses-info_wf
\mforall{}[s:SES]
\mforall{}[es:EO+(Info)]. \mforall{}[a,b:E(Encrypt)].
\{(plainText(a) = plainText(b)) \mwedge{} (key(a) = key(b))\} supposing cipherText(a) = cipherText(b)
supposing PropertyO
Date html generated:
2011_08_17-PM-07_24_19
Last ObjectModification:
2011_06_18-PM-01_17_50
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