{ 
[Info:Type]. [es:EO+(Info)]. [A:Type]. [P:{L:A List| 0 < ||L||} 
].
[num:A 
]. [X:EClass(A)]. [e:E]. [n:
].
(collect-event(es;X;n;v.num[v];L.P[L];e) 
) }
{ Proof }
Definitions occuring in Statement :
collect-event: collect-event(es;X;n;v.num[v];L.P[L];e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
length: ||as||,
bool: ,
nat: ,
uall: [x:A]. B[x],
prop: ,
so_apply: x[s],
member: t T,
less_than: a < b,
set: {x:A| B[x]} ,
function: x:A B[x],
list: type List,
natural_number: $n,
int: ,
universe: Type
Definitions :
uall: [x:A]. B[x],
member: t T,
prop: ,
collect-event: collect-event(es;X;n;v.num[v];L.P[L];e),
so_apply: x[s],
and: P 
Q,
assert: 
b,
cand: A c B,
so_lambda: 
x y.t[x; y],
all: x:A. B[x],
btrue: tt,
ifthenelse: if b then t else f fi ,
true: True,
subtype: S 
T,
so_lambda: x.t[x],
l_exists: (
xL. P[x]),
es-E-interface: E(X),
exists: x:A. B[x],
length: ||as||,
implies: P 
Q,
top: Top,
ycomb: Y,
nat: ,
so_apply: x[s1;s2],
uimplies: b supposing a,
sq_type: SQType(T),
guard: {T},
rev_implies: P 
Q,
iff: P Q,
not: 
A,
false: False
Lemmas :
assert_wf,
in-eclass_wf,
es-interface-top,
eclass-val_wf,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
nat_wf,
mapfilter_wf,
es-E-interface_wf,
Id_wf,
es-loc_wf,
es-interface-predecessors_wf,
eq_int_wf,
subtype_base_sq,
bool_wf,
bool_subtype_base,
es-interface-val_wf2,
length_wf1,
eclass_wf,
assert_elim,
mapfilter-not-nil,
l_member_wf,
property-from-l_member,
sq_stable__equal,
es-interface-predecessors-member,
iff_weakening_uiff,
assert_of_eq_int,
not_wf,
non_neg_length,
length_wf_nat,
top_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A:Type]. \mforall{}[P:\{L:A List| 0 < ||L||\} {}\mrightarrow{} \mBbbB{}]. \mforall{}[num:A {}\mrightarrow{} \mBbbN{}].
\mforall{}[X:EClass(A)]. \mforall{}[e:E]. \mforall{}[n:\mBbbZ{}].
(collect-event(es;X;n;v.num[v];L.P[L];e) \mmember{} \mBbbP{})
Date html generated:
2011_08_16-PM-05_24_52
Last ObjectModification:
2011_06_20-AM-01_23_27
Home
Index