{ 
[B:Type]. [n:
]. [m:n + 1]. [A:n 
Type]. [bags:k:n bag(A k)].
[g:funtype(n - m;
x.(A (x + m));bag(B))].
(concat-lifting-list(n;bags) m g 
bag(B)) }
{ Proof }
Definitions occuring in Statement :
concat-lifting-list: concat-lifting-list(n;bags),
int_seg: {i..j
},
nat: ,
uall: [x:A]. B[x],
member: t T,
apply: f a,
lambda: x.A[x],
function: x:A B[x],
subtract: n - m,
add: n + m,
natural_number: $n,
universe: Type,
bag: bag(T),
funtype: funtype(n;A;T)
Definitions :
tactic: Error :tactic,
Unfold: Error :Unfold,
CollapseTHEN: Error :CollapseTHEN,
CollapseTHENA: Error :CollapseTHENA,
Auto: Error :Auto,
uall: [x:A]. B[x],
member: t T,
isect: 
x:A. B[x],
function: x:A B[x],
int_seg: {i..j},
apply: f a,
bag: bag(T),
universe: Type,
nat: ,
equal: s = t,
funtype: funtype(n;A;T),
concat-lifting-list: concat-lifting-list(n;bags),
axiom: Ax,
all: x:A. B[x],
subtract: n - m,
int: 
,
subtype: S 
T,
rationals: 
,
real: 
,
set: {x:A| B[x]} ,
le: A 
B,
not: 
A,
false: False,
implies: P 
Q,
void: Void,
less_than: a < b,
add: n + m,
minus: -n,
lelt: i j < k,
and: P 
Q,
prop: 
,
subtype_rel: A r B,
uiff: uiff(P;Q),
product: x:A 
B[x],
uimplies: b supposing a,
ge: i 
j ,
natural_number: $n,
strong-subtype: strong-subtype(A;B),
lambda: x.A[x],
grp_car: |g|,
lifting-gen-list-rev: Error :lifting-gen-list-rev,
primrec: primrec(n;b;c),
ycomb: Y,
fpf: a:A fp-> B[a],
eclass: EClass(A[eo; e])
Lemmas :
temp-lifting-gen-list-rev_wf,
bag-union_wf,
funtype_wf,
bag_wf,
int_seg_wf,
nat_wf,
member_wf,
not_wf,
false_wf,
le_wf
\mforall{}[B:Type]. \mforall{}[n:\mBbbN{}]. \mforall{}[m:\mBbbN{}n + 1]. \mforall{}[A:\mBbbN{}n {}\mrightarrow{} Type]. \mforall{}[bags:k:\mBbbN{}n {}\mrightarrow{} bag(A k)].
\mforall{}[g:funtype(n - m;\mlambda{}x.(A (x + m));bag(B))].
(concat-lifting-list(n;bags) m g \mmember{} bag(B))
Date html generated:
2011_08_17-PM-06_07_54
Last ObjectModification:
2011_06_01-PM-01_59_00
Home
Index