{ 
[Info,A:Type]. [I:EClass(A)]. [P:es:EO+(Info) 
E 
].
[p:es:EO+(Info). e:E. Dec(P[es;e])]. [es:EO+(Info)]. [e:E].
uiff(
e 
(I|
p);(e I) 
(P[es;e])) }
{ Proof }
Definitions occuring in Statement :
es-interface-co-restrict: (I|p),
in-eclass: e X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: b,
decidable: Dec(P),
uiff: uiff(P;Q),
uall: [x:A]. B[x],
prop: ,
so_apply: x[s1;s2],
all: x:A. B[x],
not: A,
and: P Q,
function: x:A B[x],
universe: Type
Definitions :
bool: 
,
inr: inr x ,
bag: bag(T),
real: 
,
grp_car: |g|,
int: 
,
nat: 
,
natural_number: $n,
bag-size: bag-size(bs),
inl: inl x ,
eq_int: (i =
j),
bag_size_empty: bag_size_empty{bag_size_empty_compseq_tag_def:o},
limited-type: LimitedType,
subtype: S 
T,
es-interface-co-restrict: (I|p),
fpf: a:A fp-> B[a],
strong-subtype: strong-subtype(A;B),
record-select: r.x,
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
union: left + right,
or: P 
Q,
set: {x:A| B[x]} ,
dep-isect: Error :dep-isect,
record+: record+,
le: A 
B,
ge: i 
j ,
less_than: a < b,
subtype_rel: A r B,
top: Top,
in-eclass: e X,
lambda: 
x.A[x],
pair: <a, b>,
all: x:A. B[x],
uiff: uiff(P;Q),
and: P Q,
product: x:A 
B[x],
not: A,
implies: P 
Q,
uimplies: b supposing a,
assert: b,
ifthenelse: if b then t else f fi ,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
true: True,
false: False,
void: Void,
so_lambda: 
x y.t[x; y],
eclass: EClass(A[eo; e]),
uall: [x:A]. B[x],
isect: 
x:A. B[x],
member: t T,
function: x:A B[x],
prop: ,
universe: Type,
es-E: E,
event-ordering+: EO+(Info),
event_ordering: EO,
MaAuto: Error :MaAuto,
CollapseTHEN: Error :CollapseTHEN,
Auto: Error :Auto,
apply: f a,
so_apply: x[s1;s2],
decidable: Dec(P),
equal: s = t,
CollapseTHENA: Error :CollapseTHENA,
RepUR: Error :RepUR
Lemmas :
event-ordering+_inc,
es-E_wf,
event-ordering+_wf,
top_wf,
es-interface-co-restrict_wf,
in-eclass_wf,
assert_wf,
es-interface-top,
subtype_rel_wf,
eclass_wf,
member_wf,
assert_witness,
not_wf,
decidable_wf,
false_wf,
eq_int_wf,
bag-size_wf,
nat_wf,
bag_wf
\mforall{}[Info,A:Type]. \mforall{}[I:EClass(A)]. \mforall{}[P:es:EO+(Info) {}\mrightarrow{} E {}\mrightarrow{} \mBbbP{}].
\mforall{}[p:\mforall{}es:EO+(Info). \mforall{}e:E. Dec(P[es;e])]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E].
uiff(\muparrow{}e \mmember{}\msubb{} (I|\mneg{}p);(\muparrow{}e \mmember{}\msubb{} I) \mwedge{} (\mneg{}P[es;e]))
Date html generated:
2011_08_16-PM-04_26_21
Last ObjectModification:
2011_06_20-AM-00_50_45
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