{ 
[n:
]. [L:Top List]. [P:Top].
(firstn(n;data-stream(P;L)) ~ data-stream(P;firstn(n;L))) }
{ Proof }
Definitions occuring in Statement :
data-stream: data-stream(P;L),
firstn: firstn(n;as),
nat: ,
uall: [x:A]. B[x],
top: Top,
list: type List,
sqequal: s ~ t
Definitions :
uall: [x:A]. B[x],
member: t 
T,
implies: P 
Q,
ge: i 
j ,
le: A 
B,
not: 
A,
false: False,
top: Top,
data-stream: data-stream(P;L),
firstn: firstn(n;as),
ycomb: Y,
ifthenelse: if b then t else f fi ,
all: x:A. B[x],
btrue: tt,
prop: 
,
bfalse: ff,
nat: ,
bool: 
,
unit: Unit,
iff: P 
Q,
and: P 
Q,
uimplies: b supposing a,
it: 
Lemmas :
top_wf,
nat_wf,
nat_properties,
ge_wf,
first0,
map_wf,
int_seg_wf,
length_wf1,
upto_wf,
data-stream-cons,
lt_int_wf,
bool_wf,
iff_weakening_uiff,
uiff_transitivity,
assert_wf,
eqtt_to_assert,
assert_of_lt_int,
firstn_wf,
le_wf,
le_int_wf,
bnot_wf,
eqff_to_assert,
assert_functionality_wrt_uiff,
bnot_of_lt_int,
assert_of_le_int
\mforall{}[n:\mBbbN{}]. \mforall{}[L:Top List]. \mforall{}[P:Top]. (firstn(n;data-stream(P;L)) \msim{} data-stream(P;firstn(n;L)))
Date html generated:
2011_08_10-AM-08_14_48
Last ObjectModification:
2011_06_18-AM-08_30_11
Home
Index