{ 
[Info,A:Type]. [X:EClass(A)]. [size:
]. [num:A 
]. [P:A 
].
(Collect(size v's from X with maximum num[v] such that P[v]) 
EClass()) }
{ Proof }
Definitions occuring in Statement :
es-collect-filter: Collect(size v's from X with maximum num[v] such that P[v]),
eclass: EClass(A[eo; e]),
bool: ,
nat_plus: ,
nat: ,
uall: [x:A]. B[x],
so_apply: x[s],
member: t T,
function: x:A B[x],
universe: Type
Definitions :
void: Void,
empty-bag: {},
single-bag: {x},
band: p 
q,
add: n + m,
pi2: snd(t),
bnot: 
b,
int_nzero: 
,
real: 
,
pi1: fst(t),
eq_int: (i =
j),
bor: p 
q,
fpf: a:A fp-> B[a],
uimplies: b supposing a,
union: left + right,
less_than: a < b,
permutation: permutation(T;L1;L2),
list: type List,
quotient: x,y:A//B[x; y],
spreadn: spread3,
int: ,
product: x:A 
B[x],
so_lambda: 
x.t[x],
btrue: tt,
natural_number: $n,
pair: <a, b>,
spread: spread def,
es-collect-accum: es-collect-accum(X;x.num[x];init;a,v.f[a; v];a.P[a]),
es-filter-image: f[X],
subtype: S 
T,
subtype_rel: A r B,
eq_atom: eq_atom$n(x;y),
atom: Atom,
top: Top,
es-base-E: es-base-E(es),
token: "$token",
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
record-select: r.x,
dep-isect: Error :dep-isect,
record+: record+,
event_ordering: EO,
es-E: E,
event-ordering+: EO+(Info),
lambda: x.A[x],
all: x:A. B[x],
bag: bag(T),
set: {x:A| B[x]} ,
axiom: Ax,
apply: f a,
so_apply: x[s],
es-collect-filter: Collect(size v's from X with maximum num[v] such that P[v]),
bool: ,
equal: s = t,
universe: Type,
so_lambda: x y.t[x; y],
eclass: EClass(A[eo; e]),
nat_plus: ,
nat: ,
uall: [x:A]. B[x],
isect: 
x:A. B[x],
member: t T,
function: x:A B[x]
Lemmas :
bool_wf,
nat_wf,
es-collect-accum_wf,
btrue_wf,
member_wf,
bag_wf,
permutation_wf,
es-filter-image_wf,
event-ordering+_wf,
event-ordering+_inc,
subtype_rel_self,
es-base-E_wf,
es-E_wf,
eclass_wf,
nat_plus_wf,
bor_wf,
eq_int_wf,
pi1_wf_top,
top_wf,
bnot_wf,
pi2_wf,
band_wf,
ifthenelse_wf,
single-bag_wf,
empty-bag_wf
\mforall{}[Info,A:Type]. \mforall{}[X:EClass(A)]. \mforall{}[size:\mBbbN{}\msupplus{}]. \mforall{}[num:A {}\mrightarrow{} \mBbbN{}]. \mforall{}[P:A {}\mrightarrow{} \mBbbB{}].
(Collect(size v's from X with maximum num[v] such that P[v]) \mmember{} EClass(\mBbbN{}))
Date html generated:
2011_08_16-PM-05_28_42
Last ObjectModification:
2011_06_20-AM-01_24_23
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