{ 
[L:Top List]. [b:Top].
(data-stream(constant-dataflow(b);L) ~ map(
i.b;upto(||L||))) }
{ Proof }
Definitions occuring in Statement :
data-stream: data-stream(P;L),
constant-dataflow: constant-dataflow(b),
map: map(f;as),
length: ||as||,
uall: [x:A]. B[x],
top: Top,
lambda: x.A[x],
list: type List,
sqequal: s ~ t,
upto: upto(n)
Definitions :
uall: [x:A]. B[x],
top: Top,
map: map(f;as),
upto: upto(n),
length: ||as||,
member: t 
T,
ycomb: Y,
from-upto: [n, m),
ifthenelse: if b then t else f fi ,
lt_int: i <z j,
bfalse: ff,
pi2: snd(t),
pi1: fst(t),
compose: f o g,
all: x:A. B[x],
subtype: S 
T,
int_seg: {i..j
},
lelt: i 
j < k,
prop: 
,
so_lambda: 
x.t[x],
and: P 
Q,
squash: 
T,
true: True,
sq_type: SQType(T),
uimplies: b supposing a,
so_apply: x[s],
implies: P 
Q,
guard: {T}
Lemmas :
top_wf,
data-stream-cons,
upto_decomp2,
length_wf1,
non_neg_length,
length_wf_nat,
map-map,
upto_wf,
int_seg_wf,
subtype_base_sq,
list_subtype_base,
set_subtype_base,
le_wf,
int_subtype_base,
squash_wf,
true_wf
\mforall{}[L:Top List]. \mforall{}[b:Top]. (data-stream(constant-dataflow(b);L) \msim{} map(\mlambda{}i.b;upto(||L||)))
Date html generated:
2011_08_10-AM-08_15_08
Last ObjectModification:
2011_06_18-AM-08_30_26
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