{ 
[T:Id 
Type]. [tab:secret-table(T)]. (next(tab) 
||tab|| 
Atom1?) }
{ Proof }
Definitions occuring in Statement :
st-next: next(tab),
st-length: ||tab|| ,
secret-table: secret-table(T),
Id: Id,
int_seg: {i..j
},
uall: [x:A]. B[x],
unit: Unit,
member: t T,
function: x:A B[x],
product: x:A B[x],
union: left + right,
natural_number: $n,
universe: Type,
atom: Atom$n
Definitions :
uall: [x:A]. B[x],
member: t T,
st-next: next(tab),
prop: 
,
bfalse: ff,
ifthenelse: if b then t else f fi ,
all: x:A. B[x],
implies: P 
Q,
btrue: tt,
nat: ,
unit: Unit,
bool: 
,
iff: P 
Q,
and: P 
Q,
uimplies: b supposing a,
it: 
Lemmas :
secret-table_wf,
Id_wf,
lt_int_wf,
st-ptr_wf,
nat_wf,
st-length_wf,
bool_wf,
assert_wf,
st-atom_wf,
unit_wf,
le_wf,
le_int_wf,
bnot_wf,
it_wf,
int_seg_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)]. (next(tab) \mmember{} \mBbbN{}||tab|| \mtimes{} Atom1?)
Date html generated:
2011_08_16-AM-11_00_26
Last ObjectModification:
2011_06_18-AM-09_34_01
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