{ 
[Info,T:Type].
eo:EO+(Info)
[e:E]. [v:T]. [X:EClass(T)].
((v 
X(e) 
Singlevalued(X)) 
(v = only(X eo e))) }
{ Proof }
Definitions occuring in Statement :
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,
apply: f a,
universe: Type,
equal: s = t,
bag-only: only(bs)
Definitions :
D: Error :D,
RepUR: Error :RepUR,
CollapseTHENA: Error :CollapseTHENA,
CollapseTHEN: Error :CollapseTHEN,
Auto: Error :Auto,
isect: 
x:A. B[x],
so_lambda: 
x y.t[x; y],
eclass: EClass(A[eo; e]),
member: t T,
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,
equal: s = t,
implies: P Q,
and: P Q,
product: x:A 
B[x],
sv-class: Singlevalued(X),
classrel: v X(e),
bag-only: only(bs),
apply: f a,
axiom: Ax,
prop: 
,
subtype: S 
T,
assert: 
b,
top: Top,
es-E-interface: E(X),
subtype_rel: A r B,
uiff: uiff(P;Q),
uimplies: b supposing a,
less_than: a < b,
not: 
A,
ge: i 
j ,
le: A 
B,
strong-subtype: strong-subtype(A;B),
record+: record+,
dep-isect: Error :dep-isect,
ifthenelse: if b then t else f fi ,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
set: {x:A| B[x]} ,
bag-member: bag-member(T;x;bs),
squash: 
T,
eq_atom: eq_atom$n(x;y),
eq_atom: x =a y,
record-select: r.x,
false: False,
void: Void,
fpf: a:A fp-> B[a],
in-eclass: e 
X,
int: 
,
bag-size: bag-size(bs),
nat: 
,
grp_car: |g|,
real: 
,
bag: bag(T),
natural_number: $n,
sqequal: s ~ t
Lemmas :
classrel_wf,
sv-class_wf,
event-ordering+_inc,
event_in_sv_classrel_is_in_class,
es-E-interface-property,
eclass_wf,
subtype_rel_wf,
es-interface-top,
assert_of_eq_int,
bag-size_wf,
nat_wf,
member_wf,
bag-size-one,
bag-member-single,
bag-only_wf,
bag_wf,
es-E_wf,
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{} (v = only(X eo e)))
Date html generated:
2011_08_17-PM-06_22_23
Last ObjectModification:
2011_06_08-PM-12_07_44
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