{ 
[Info,A:Type]. [X:EClass(A)]. [dfp:DataflowProgram(Info)]. [x:Id].
(local-program-at{i:l}(Info;A;X;dfp;x) 
') }
{ Proof }
Definitions occuring in Statement :
local-program-at: local-program-at{i:l}(Info;A;X;dfp;x),
eclass: EClass(A[eo; e]),
dataflow-program: DataflowProgram(A),
Id: Id,
uall: [x:A]. B[x],
prop: ,
member: t T,
universe: Type
Definitions :
prop: ,
equal: s = t,
member: t T,
isect: 
x:A. B[x],
Id: Id,
uall: [x:A]. B[x],
dataflow-program: DataflowProgram(A),
eclass: EClass(A[eo; e]),
so_lambda: 
x y.t[x; y],
universe: Type,
local-program-at: local-program-at{i:l}(Info;A;X;dfp;x),
axiom: Ax,
product: x:A 
B[x],
function: x:A 
B[x],
bag: bag(T),
all: x:A. B[x],
bool: 
,
lambda: x.A[x],
event-ordering+: EO+(Info),
es-E: E,
event_ordering: EO,
record+: record+,
dep-isect: Error :dep-isect,
record-select: r.x,
ifthenelse: if b then t else f fi ,
eq_atom: x =a y,
token: "$token",
es-base-E: es-base-E(es),
top: Top,
apply: f a,
atom: Atom,
eq_atom: eq_atom$n(x;y),
subtype_rel: A 
r B,
subtype: S T,
atom: Atom$n,
and: P 
Q,
cand: A c B,
df-program-type: df-program-type(dfp),
implies: P 
Q,
es-loc: loc(e),
last: last(L),
data-stream: data-stream(P;L),
df-program-meaning: df-program-meaning(dfp),
map: map(f;as),
es-info: info(e),
es-le-before: 
loc(e),
sq_type: SQType(T),
guard: {T},
assert: 
b,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
set: {x:A| B[x]} ,
uimplies: b supposing a,
list: type List,
combination: Combination(n;T),
listp: A List
,
es-le: e loc e' ,
dataflow: dataflow(A;B),
corec: corec(T.F[T]),
es-E-interface: E(X),
fpf: a:A fp-> B[a],
pair: <a, b>,
intensional-universe: IType,
uiff: uiff(P;Q),
less_than: a < b,
not: 
A,
ge: i 
j ,
le: A B,
strong-subtype: strong-subtype(A;B),
false: False,
void: Void,
l_member: (x l),
limited-type: LimitedType,
quotient: x,y:A//B[x; y],
permutation: permutation(T;L1;L2),
filter: filter(P;l),
so_lambda: x.t[x],
nat: 
,
es-interface-prior-vals: X(e),
null: null(as),
sqequal: s ~ t,
bfalse: ff,
equiv_rel: EquivRel(T;x,y.E[x; y]),
trans: Trans(T;x,y.E[x; y]),
sym: Sym(T;x,y.E[x; y]),
refl: Refl(T;x,y.E[x; y]),
CollapseTHEN: Error :CollapseTHEN,
MaAuto: Error :MaAuto,
fpf-cap: f(x)?z,
select: l[i],
class-program: ClassProgram(T),
squash: 
T,
true: True
Lemmas :
true_wf,
squash_wf,
refl_wf,
sym_wf,
trans_wf,
equiv_rel_wf,
quotient_wf,
bfalse_wf,
bool_subtype_base,
subtype_base_sq,
bool_wf,
es-le-before-not-null,
es-le_wf,
es-le-before_wf2,
null-map,
top_wf,
null-data-stream,
corec_wf,
l_member_wf,
list-subtype,
permutation_wf,
pos_length2,
false_wf,
not_wf,
assert_wf,
intensional-universe_wf,
subtype_rel_wf,
dataflow_wf,
es-info_wf,
map_wf,
es-le-before_wf,
dataflow-program_wf,
eclass_wf,
df-program-type_wf,
Id_wf,
es-loc_wf,
es-base-E_wf,
subtype_rel_self,
event-ordering+_inc,
es-E_wf,
event-ordering+_wf,
member_wf,
last_wf,
df-program-meaning_wf,
data-stream_wf,
bag_wf
\mforall{}[Info,A:Type]. \mforall{}[X:EClass(A)]. \mforall{}[dfp:DataflowProgram(Info)]. \mforall{}[x:Id].
(local-program-at\{i:l\}(Info;A;X;dfp;x) \mmember{} \mBbbP{}')
Date html generated:
2011_08_16-PM-06_15_03
Last ObjectModification:
2011_06_13-PM-03_43_27
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