{ 
[Info:Type]. [es:EO+(Info)]. [f:Top]. [X:EClass(Top)]. [e:E].
(
e 
f[X] ~ if e X then (bag-size(f X(e)) =
1) else False fi ) }
{ 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,
eq_int: (i = j),
assert: b,
ifthenelse: if b then t else f fi ,
uall: [x:A]. B[x],
top: Top,
false: False,
apply: f a,
natural_number: $n,
universe: Type,
sqequal: s ~ t,
bag-size: bag-size(bs)
Definitions :
limited-type: LimitedType,
prop: 
,
bfalse: ff,
btrue: tt,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
uimplies: b supposing a,
product: x:A 
B[x],
and: P 
Q,
uiff: uiff(P;Q),
eq_bool: p =b q,
lt_int: i <z j,
le_int: i 
z j,
eq_atom: x =a y,
null: null(as),
set_blt: a < b,
grp_blt: a < b,
infix_ap: x f y,
dcdr-to-bool: [d],
bl-all: (xL.P[x])_b,
bl-exists: (
xL.P[x])_b,
b-exists: (i<n.P[i])_b,
eq_type: eq_type(T;T'),
not: 
A,
eq_atom: eq_atom$n(x;y),
qeq: qeq(r;s),
q_less: q_less(r;s),
q_le: q_le(r;s),
deq-member: deq-member(eq;x;L),
deq-disjoint: deq-disjoint(eq;as;bs),
deq-all-disjoint: deq-all-disjoint(eq;ass;bs),
eq_id: a = b,
eq_lnk: a = b,
es-eq-E: e = e',
es-bless: e <loc e',
es-ble: e loc e',
bimplies: p 
q,
band: p q,
bor: p 
q,
bnot: b,
int: 
,
unit: Unit,
union: left + right,
implies: P Q,
bool: 
,
false: False,
natural_number: $n,
eclass-val: X(e),
apply: f a,
bag-size: bag-size(bs),
eq_int: (i = j),
es-filter-image: f[X],
ifthenelse: if b then t else f fi ,
assert: b,
lambda: 
x.A[x],
subtype: S 
T,
function: x:A 
B[x],
all: x:A. B[x],
equal: s = t,
universe: Type,
sqequal: s ~ t,
top: Top,
so_lambda: 
x y.t[x; y],
eclass: EClass(A[eo; e]),
event_ordering: EO,
es-E: E,
member: t T,
event-ordering+: EO+(Info),
uall: [x:A]. B[x],
isect: 
x:A. B[x],
in-eclass: e X,
Auto: Error :Auto,
CollapseTHENA: Error :CollapseTHENA,
CollapseTHEN: Error :CollapseTHEN
Lemmas :
eclass_wf,
es-E_wf,
event-ordering+_inc,
top_wf,
event-ordering+_wf,
is-filter-image-sq,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
bnot_wf,
not_wf,
assert_wf,
in-eclass_wf,
bool_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[f:Top]. \mforall{}[X:EClass(Top)]. \mforall{}[e:E].
(\muparrow{}e \mmember{}\msubb{} f[X] \msim{} if e \mmember{}\msubb{} X then \muparrow{}(bag-size(f X(e)) =\msubz{} 1) else False fi )
Date html generated:
2011_08_16-PM-04_11_06
Last ObjectModification:
2011_06_20-AM-00_43_15
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