{ 
[T:Type]. [P:T 
]. [G:LabeledGraph(T)].
(lg-filter(P;G) 
LabeledGraph(T)) }
{ Proof }
Definitions occuring in Statement :
lg-filter: lg-filter(P;G),
labeled-graph: LabeledGraph(T),
bool: ,
uall: [x:A]. B[x],
member: t T,
function: x:A B[x],
universe: Type
Definitions :
fpf-sub: f 
g,
deq: EqDecider(T),
ma-state: State(ds),
fpf-dom: x dom(f),
class-program: ClassProgram(T),
pair: <a, b>,
inr: inr x ,
inl: inl x ,
unit: Unit,
btrue: tt,
bfalse: ff,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
intensional-universe: IType,
proper-iseg: L1 < L2,
iseg: l1 
l2,
gt: i > j,
map: map(f;as),
so_lambda: 
x.t[x],
tag-by: z
T,
rev_implies: P 
Q,
iff: P 
Q,
record+: record+,
record: record(x.T[x]),
fset: FSet{T},
isect2: T1 
T2,
b-union: A 
B,
true: True,
fpf-cap: f(x)?z,
so_apply: x[s],
union: left + right,
or: P 
Q,
guard: {T},
assert: 
b,
l_member: (x l),
void: Void,
es-E-interface: E(X),
implies: P Q,
false: False,
length: ||as||,
select: l[i],
pi1: fst(t),
bnot: 
b,
prop: 
,
grp_car: |g|,
lelt: i j < k,
int: 
,
real: 
,
rationals: 
,
subtype: S T,
natural_number: $n,
lg-size: lg-size(g),
int_seg: {i..j
},
upto: upto(n),
set: {x:A| B[x]} ,
top: Top,
filter: filter(P;l),
nat: 
,
list: type List,
reduce: reduce(f;k;as),
lg-remove: lg-remove(g;n),
lambda: x.A[x],
apply: f a,
let: let,
eclass: EClass(A[eo; e]),
fpf: a:A fp-> B[a],
strong-subtype: strong-subtype(A;B),
dep-isect: Error :dep-isect,
le: A B,
ge: i 
j ,
not: A,
less_than: a < b,
uimplies: b supposing a,
product: x:A B[x],
and: P 
Q,
uiff: uiff(P;Q),
subtype_rel: A r B,
all: x:A. B[x],
lg-filter: lg-filter(P;G),
labeled-graph: LabeledGraph(T),
universe: Type,
equal: s = t,
axiom: Ax,
function: x:A B[x],
bool: ,
uall: [x:A]. B[x],
isect: x:A. B[x],
member: t T,
CollapseTHEN: Error :CollapseTHEN,
Auto: Error :Auto,
Try: Error :Try,
tactic: Error :tactic
Lemmas :
top_wf,
pi1_wf_top,
bnot_wf,
int_seg_wf,
upto_wf,
nat_wf,
lg-size_wf,
filter_wf,
subtype_rel_wf,
labeled-graph_wf,
member_wf,
select_wf,
le_wf,
lg-remove_wf,
reduce_wf,
bool_wf,
list-subtype,
l_member_wf,
filter_type,
assert_wf,
int_seg_properties,
Error :dep-isect_wf,
length_wf_nat,
intensional-universe_wf,
bfalse_wf,
true_wf,
btrue_wf,
false_wf,
unit_wf,
subtype_rel_list,
subtype_rel_simple_product,
subtype_rel_self,
nat_properties
\mforall{}[T:Type]. \mforall{}[P:T {}\mrightarrow{} \mBbbB{}]. \mforall{}[G:LabeledGraph(T)]. (lg-filter(P;G) \mmember{} LabeledGraph(T))
Date html generated:
2011_08_16-PM-06_38_51
Last ObjectModification:
2011_06_20-AM-01_57_41
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