{ 
[Info:Type]. [es:EO+(Info)]. [A:Type]. [f:A 
bag(Top)]. [X:EClass(A)].
[e:E].
f[X](e) ~ only(f X(e)) supposing 
e 
f[X] }
{ Proof }
Definitions occuring in Statement :
es-filter-image: f[X],
eclass-val: X(e),
in-eclass: e X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: b,
uimplies: b supposing a,
uall: [x:A]. B[x],
top: Top,
apply: f a,
function: x:A B[x],
universe: Type,
sqequal: s ~ t,
bag-only: only(bs),
bag: bag(T)
Definitions :
implies: P 
Q,
filter: filter(P;l),
bag-only: only(bs),
nil: [],
qabs: |r|,
append: as @ bs,
strong-subtype: strong-subtype(A;B),
decide: case b of inl(x) => s[x] | inr(y) => t[y],
le: A 
B,
ge: i 
j ,
not: 
A,
less_than: a < b,
and: P 
Q,
uiff: uiff(P;Q),
product: x:A 
B[x],
exists: 
x:A. B[x],
void: Void,
so_lambda: 
x.t[x],
sq_type: SQType(T),
eclass-val: X(e),
sqequal: s ~ t,
es-filter-image: f[X],
in-eclass: e X,
set: {x:A| B[x]} ,
prop: 
,
assert: b,
uimplies: b supposing a,
subtype: S 
T,
subtype_rel: A r B,
atom: Atom,
apply: f a,
es-base-E: es-base-E(es),
token: "$token",
ifthenelse: if b then t else f fi ,
record-select: r.x,
event_ordering: EO,
es-E: E,
lambda: x.A[x],
so_lambda: x y.t[x; y],
eclass: EClass(A[eo; e]),
top: Top,
bag: bag(T),
dep-isect: Error :dep-isect,
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
record+: record+,
all: x:A. B[x],
function: x:A B[x],
isect: 
x:A. B[x],
uall: [x:A]. B[x],
universe: Type,
member: t T,
event-ordering+: EO+(Info),
equal: s = t,
cand: A c B,
true: True,
false: False,
fpf: a:A fp-> B[a],
MaAuto: Error :MaAuto,
CollapseTHEN: Error :CollapseTHEN,
Auto: Error :Auto,
CollapseTHENA: Error :CollapseTHENA
Lemmas :
es-filter-image-val,
member_wf,
subtype_rel_wf,
es-interface-top,
false_wf,
ifthenelse_wf,
true_wf,
es-is-filter-image,
bag_wf,
eclass_wf,
event-ordering+_wf,
es-E_wf,
es-base-E_wf,
subtype_rel_self,
event-ordering+_inc,
assert_wf,
in-eclass_wf,
es-filter-image_wf,
eclass-val_wf,
top_wf,
subtype_base_sq,
isect_subtype_base
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A:Type]. \mforall{}[f:A {}\mrightarrow{} bag(Top)]. \mforall{}[X:EClass(A)]. \mforall{}[e:E].
f[X](e) \msim{} only(f X(e)) supposing \muparrow{}e \mmember{}\msubb{} f[X]
Date html generated:
2011_08_16-PM-04_11_51
Last ObjectModification:
2011_06_20-AM-00_43_42
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