{ 
[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.
(
e 
(I|p) 
(e I) 
P[es;e]) }
{ Proof }
Definitions occuring in Statement :
es-interface-restrict: (I|p),
in-eclass: e X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: b,
decidable: Dec(P),
uall: [x:A]. B[x],
prop: ,
so_apply: x[s1;s2],
all: x:A. B[x],
iff: P Q,
and: P Q,
function: x:A B[x],
universe: Type
Definitions :
inr: inr x ,
not: 
A,
bag_size_empty: bag_size_empty{bag_size_empty_compseq_tag_def:o},
subtype_rel: A 
r B,
bag: bag(T),
set: {x:A| B[x]} ,
real: 
,
grp_car: |g|,
int: 
,
nat: 
,
inl: inl x ,
natural_number: $n,
bag-size: bag-size(bs),
eq_int: (i =
j),
bool: 
,
rev_implies: P Q,
union: left + right,
or: P 
Q,
limited-type: LimitedType,
in-eclass: e X,
es-interface-restrict: (I|p),
lambda: 
x.A[x],
subtype: S T,
iff: P Q,
implies: P Q,
and: P Q,
product: x:A 
B[x],
assert: b,
ifthenelse: if b then t else f fi ,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
true: True,
member: t T,
false: False,
void: Void,
all: x:A. B[x],
eclass: EClass(A[eo; e]),
so_lambda: 
x y.t[x; y],
uall: [x:A]. B[x],
isect: 
x:A. B[x],
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 :
bag-size_wf,
eq_int_wf,
event-ordering+_wf,
es-E_wf,
bag_wf,
member_wf,
nat_wf,
assert_wf,
assert_witness,
decidable_wf,
event-ordering+_inc,
eclass_wf,
false_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.
(\muparrow{}e \mmember{}\msubb{} (I|p) \mLeftarrow{}{}\mRightarrow{} (\muparrow{}e \mmember{}\msubb{} I) \mwedge{} P[es;e])
Date html generated:
2011_08_16-PM-04_25_58
Last ObjectModification:
2011_06_20-AM-00_50_23
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