{ 
[T:Id 
Type]. [tab:secret-table(T)]. [keyv:
+ Atom1 
data(T)].
(||encrypt(tab;keyv)|| = ||tab|| ) }
{ Proof }
Definitions occuring in Statement :
st-encrypt: encrypt(tab;keyv),
st-length: ||tab|| ,
secret-table: secret-table(T),
data: data(T),
Id: Id,
nat: ,
uall: [x:A]. B[x],
function: x:A B[x],
product: x:A B[x],
union: left + right,
int: 
,
universe: Type,
equal: s = t,
atom: Atom$n
Definitions :
uall: [x:A]. B[x],
st-length: ||tab|| ,
st-encrypt: encrypt(tab;keyv),
member: t 
T,
spreadn: spread3,
pi1: fst(t),
prop: 
,
ifthenelse: if b then t else f fi ,
all: x:A. B[x],
implies: P 
Q,
btrue: tt,
bfalse: ff,
secret-table: secret-table(T),
nat: ,
bool: 
,
unit: Unit,
iff: P 
Q,
and: P 
Q,
uimplies: b supposing a,
it: 
Lemmas :
nat_wf,
data_wf,
secret-table_wf,
Id_wf,
lt_int_wf,
bool_wf,
assert_wf,
le_wf,
le_int_wf,
bnot_wf,
iff_weakening_uiff,
uiff_transitivity,
eqtt_to_assert,
assert_of_lt_int,
eqff_to_assert,
assert_functionality_wrt_uiff,
bnot_of_lt_int,
assert_of_le_int
\mforall{}[T:Id {}\mrightarrow{} Type]. \mforall{}[tab:secret-table(T)]. \mforall{}[keyv:\mBbbN{} + Atom1 \mtimes{} data(T)].
(||encrypt(tab;keyv)|| = ||tab|| )
Date html generated:
2011_08_16-AM-11_00_50
Last ObjectModification:
2011_06_18-AM-09_34_19
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