{ 
[Info,T:Type].
eo:EO+(Info)
[e:E]. [v:T]. [X:EClass(T)].
((v 
X(e) 
Singlevalued(X)) 
(e E(X))) }
{ Proof }
Definitions occuring in Statement :
es-E-interface: E(X),
sv-class: Singlevalued(X),
classrel: v X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: [x:A]. B[x],
all: x:A. B[x],
implies: P Q,
and: P Q,
member: t T,
universe: Type
Definitions :
MaAuto: Error :MaAuto,
RepUR: Error :RepUR,
Complete: Error :Complete,
or: P 
Q,
equal: s = t,
int: 
,
bag-size: bag-size(bs),
natural_number: $n,
D: Error :D,
CollapseTHENA: Error :CollapseTHENA,
apply: f a,
Try: Error :Try,
CollapseTHEN: Error :CollapseTHEN,
Auto: Error :Auto,
member: t T,
isect: 
x:A. B[x],
uall: [x:A]. B[x],
es-E: E,
event_ordering: EO,
event-ordering+: EO+(Info),
function: x:A 
B[x],
lambda: 
x.A[x],
all: x:A. B[x],
universe: Type,
implies: P Q,
eclass: EClass(A[eo; e]),
so_lambda: 
x y.t[x; y],
and: P Q,
product: x:A 
B[x],
sv-class: Singlevalued(X),
classrel: v X(e),
es-E-interface: E(X),
axiom: Ax,
prop: 
,
bag: bag(T),
record-select: r.x,
assert: 
b,
set: {x:A| B[x]} ,
record+: record+,
eq_atom: eq_atom$n(x;y),
eq_atom: x =a y,
dep-isect: Error :dep-isect,
cand: A c B,
ifthenelse: if b then t else f fi ,
token: "$token",
es-base-E: es-base-E(es),
top: Top,
atom: Atom,
subtype_rel: A 
r B,
subtype: S T,
bool: 
,
in-eclass: e 
X,
le: A 
B,
bag-member: bag-member(T;x;bs),
not: 
A,
false: False,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
eq_int: (i =
j),
true: True,
uiff: uiff(P;Q),
uimplies: b supposing a,
less_than: a < b,
ge: i 
j ,
strong-subtype: strong-subtype(A;B),
squash: 
T,
void: Void,
union: left + right,
nat: 
,
grp_car: |g|,
real: 
,
sq_type: SQType(T),
guard: {T},
sqequal: s ~ t,
btrue: tt
Lemmas :
eq_int_eq_true,
bool_subtype_base,
bool_wf,
bag-member-empty,
bag-size-zero,
int_subtype_base,
subtype_base_sq,
member_wf,
bag_wf,
nat_wf,
bag-size_wf,
true_wf,
eq_int_wf,
ifthenelse_wf,
false_wf,
assert_wf,
classrel_wf,
sv-class_wf,
eclass_wf,
es-E_wf,
es-base-E_wf,
subtype_rel_self,
event-ordering+_inc,
event-ordering+_wf
\mforall{}[Info,T:Type].
\mforall{}eo:EO+(Info). \mforall{}[e:E]. \mforall{}[v:T]. \mforall{}[X:EClass(T)]. ((v \mmember{} X(e) \mwedge{} Singlevalued(X)) {}\mRightarrow{} (e \mmember{} E(X)))
Date html generated:
2011_08_17-PM-06_22_10
Last ObjectModification:
2011_06_07-PM-08_20_49
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