{ 
[B:Type]. [n:
]. [A:n 
Type]. [bags:k:n bag(A k)].
[f:funtype(n;A;bag(B))].
(concat-lifting(n;f;bags) 
bag(B)) }
{ Proof }
Definitions occuring in Statement :
concat-lifting: concat-lifting(n;f;bags),
int_seg: {i..j
},
nat: ,
uall: [x:A]. B[x],
member: t T,
apply: f a,
function: x:A B[x],
natural_number: $n,
universe: Type,
bag: bag(T),
funtype: funtype(n;A;T)
Definitions :
Unfold: Error :Unfold,
sqequal: s ~ t,
subtract: n - m,
equal: s = t,
function: x:A B[x],
int_seg: {i..j},
universe: Type,
lambda: 
x.A[x],
apply: f a,
add: n + m,
natural_number: $n,
Try: Error :Try,
Complete: Error :Complete,
CollapseTHENA: Error :CollapseTHENA,
CollapseTHEN: Error :CollapseTHEN,
Auto: Error :Auto,
member: t T,
isect: 
x:A. B[x],
funtype: funtype(n;A;T),
bag: bag(T),
uall: [x:A]. B[x],
nat: ,
concat-lifting: concat-lifting(n;f;bags),
axiom: Ax,
all: x:A. B[x],
int: 
,
subtype: S 
T,
grp_car: |g|,
real: 
,
set: {x:A| B[x]} ,
concat-lifting-list: concat-lifting-list(n;bags),
le: A 
B,
not: 
A,
false: False,
implies: P 
Q,
subtype_rel: A r B,
uiff: uiff(P;Q),
and: P 
Q,
product: x:A 
B[x],
uimplies: b supposing a,
less_than: a < b,
ge: i 
j ,
strong-subtype: strong-subtype(A;B),
primrec: primrec(n;b;c),
ycomb: Y,
fpf: a:A fp-> B[a],
eclass: EClass(A[eo; e]),
lifting-gen-list-rev: Error :lifting-gen-list-rev,
rationals: 
,
lelt: i j < k,
prop: 
,
void: Void,
p-outcome: Outcome,
sq_type: SQType(T),
guard: {T},
iff: P 
Q,
rev_implies: P Q,
squash: 
T,
true: True
Lemmas :
squash_wf,
true_wf,
rev_implies_wf,
iff_wf,
int_subtype_base,
subtype_base_sq,
subtype_rel_wf,
funtype_wf,
bag-union_wf,
bag_wf,
temp-lifting-gen-list-rev_wf,
nat_wf,
le_wf,
not_wf,
false_wf,
member_wf,
int_seg_wf
\mforall{}[B:Type]. \mforall{}[n:\mBbbN{}]. \mforall{}[A:\mBbbN{}n {}\mrightarrow{} Type]. \mforall{}[bags:k:\mBbbN{}n {}\mrightarrow{} bag(A k)]. \mforall{}[f:funtype(n;A;bag(B))].
(concat-lifting(n;f;bags) \mmember{} bag(B))
Date html generated:
2011_08_17-PM-06_08_40
Last ObjectModification:
2011_06_01-PM-06_50_45
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