{ 
[L:Type List]. [B:Type]. [G:tuple-type(map(
T.bag(T);L)) 
bag(B)].
[halt:tuple-type(map(dfp.(Top?);L)) 
].
(parallel-df-halt(G;L;B;halt) 
) }
{ Proof }
Definitions occuring in Statement :
parallel-df-halt: parallel-df-halt(G;L;B;halt),
map: map(f;as),
bool: ,
uall: [x:A]. B[x],
top: Top,
prop: ,
unit: Unit,
member: t T,
lambda: x.A[x],
function: x:A B[x],
union: left + right,
list: type List,
universe: Type,
bag: bag(T),
tuple-type: tuple-type(L)
Definitions :
void: Void,
sqequal: s ~ t,
real: 
,
rationals: 
,
subtype: S 
T,
nat: 
,
btrue: tt,
bfalse: ff,
pair: <a, b>,
intensional-universe: IType,
strong-subtype: strong-subtype(A;B),
ge: i 
j ,
less_than: a < b,
uiff: uiff(P;Q),
subtype_rel: A r B,
fpf: a:A fp-> B[a],
decide: case b of inl(x) => s[x] | inr(y) => t[y],
ifthenelse: if b then t else f fi ,
list_ind: list_ind def,
false: False,
not: 
A,
le: A 
B,
lelt: i j < k,
int: 
,
select: l[i],
l_member: (x l),
set: {x:A| B[x]} ,
select-tuple: x.n,
isl: isl(x),
bnot: 
b,
so_lambda: 
x.t[x],
l_all: (xL.P[x]),
strict-bag-function: strict-bag-function(G;L;B;S),
cand: A c
B,
and: P Q,
length: ||as||,
natural_number: $n,
int_seg: {i..j
},
product: x:A 
B[x],
exists: 
x:A. B[x],
apply: f a,
assert: 
b,
implies: P 
Q,
listp: A List
,
combination: Combination(n;T),
uimplies: b supposing a,
all: x:A. B[x],
lambda: x.A[x],
axiom: Ax,
parallel-df-halt: parallel-df-halt(G;L;B;halt),
prop: ,
list: type List,
equal: s = t,
bag: bag(T),
uall: [x:A]. B[x],
bool: ,
tuple-type: tuple-type(L),
map: map(f;as),
union: left + right,
top: Top,
unit: Unit,
universe: Type,
function: x:A B[x],
isect: 
x:A. B[x],
member: t T,
Auto: Error :Auto,
CollapseTHEN: Error :CollapseTHEN
Lemmas :
select-map,
length_wf1,
int_seg_wf,
l_member_wf,
l_all_wf2,
assert_wf,
strict-bag-function_wf,
unit_wf,
top_wf,
map_wf,
tuple-type_wf,
bag_wf,
bool_wf,
bnot_wf,
select-tuple_wf,
member_wf,
isl_wf,
l_all_wf,
intensional-universe_wf,
subtype_rel_wf,
length_wf_nat,
select_wf,
le_wf,
length-map
\mforall{}[L:Type List]. \mforall{}[B:Type]. \mforall{}[G:tuple-type(map(\mlambda{}T.bag(T);L)) {}\mrightarrow{} bag(B)].
\mforall{}[halt:tuple-type(map(\mlambda{}dfp.(Top?);L)) {}\mrightarrow{} \mBbbB{}].
(parallel-df-halt(G;L;B;halt) \mmember{} \mBbbP{})
Date html generated:
2011_08_16-AM-09_37_33
Last ObjectModification:
2011_06_09-PM-03_59_29
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