{ 
[T,Info:Type]. [X:EClass(T)]. [es:EO+(Info)]. [e:E]. [v:T].
uiff(v 
Prior(X)(e);
e':E
((es-p-local-pred(es;
e'.(w:T. w X(e'))) e e')
v X(e'))) }
{ Proof }
Definitions occuring in Statement :
primed-class: Prior(X),
classrel: v X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-p-local-pred: es-p-local-pred(es;P),
es-E: E,
uiff: uiff(P;Q),
uall: [x:A]. B[x],
exists: x:A. B[x],
squash: T,
and: P Q,
apply: f a,
lambda: x.A[x],
universe: Type
Definitions :
isect: 
x:A. B[x],
uall: [x:A]. B[x],
universe: Type,
so_lambda: 
x y.t[x; y],
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
event_ordering: EO,
es-E: E,
primed-class: Prior(X),
classrel: v X(e),
product: x:A 
B[x],
exists: x:A. B[x],
squash: T,
es-p-local-pred: es-p-local-pred(es;P),
apply: f a,
and: P Q,
uiff: uiff(P;Q),
so_lambda: x.t[x],
uimplies: b supposing a,
set: {x:A| B[x]} ,
member: t T,
equal: s = t,
lambda: x.A[x],
union: left + right,
top: Top,
es-local-pred: last(P),
lt_int: i <z j,
natural_number: $n,
bag-size: bag-size(bs),
inl: inl x ,
function: x:A 
B[x],
bag: bag(T),
quotient: x,y:A//B[x; y],
record+: record+,
dep-isect: Error :dep-isect,
prop: 
,
bag-member: bag-member(T;x;bs),
true: True,
all: x:A. B[x],
subtype_rel: A 
r B,
less_than: a < b,
not: 
A,
ge: i 
j ,
le: A 
B,
strong-subtype: strong-subtype(A;B),
assert: 
b,
ifthenelse: if b then t else f fi ,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
eq_atom: eq_atom$n(x;y),
eq_atom: x =a y,
record-select: r.x,
subtype: S T,
cand: A c B,
or: P 
Q,
sq_exists: x:{A| B[x]},
implies: P 
Q,
es-locl: (e <loc e'),
nat: 
,
int: 
,
grp_car: |g|,
real: 
,
bool: 
,
fpf: a:A fp-> B[a],
es-causl: (e < e'),
infix_ap: x f y,
void: Void,
pair: <a, b>,
tactic: Error :tactic,
CollapseTHENA: Error :CollapseTHENA,
CollapseTHEN: Error :CollapseTHEN,
Unfold: Error :Unfold,
Auto: Error :Auto,
inhabited-classrel: inhabited-classrel(eo;T;X;e)
Lemmas :
es-local-pred-iff-es-p-local-pred,
bool_wf,
bag_wf,
nat_wf,
bag-size_wf,
lt_int_wf,
member_wf,
es-locl_wf,
not_wf,
assert_wf,
es-local-pred_wf,
top_wf,
prior-classrel,
uall_wf,
eclass_wf,
event-ordering+_inc,
event-ordering+_wf,
es-p-local-pred_wf,
es-E_wf,
squash_wf,
primed-class_wf,
classrel_wf,
uiff_wf
\mforall{}[T,Info:Type]. \mforall{}[X:EClass(T)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. \mforall{}[v:T].
uiff(v \mmember{} Prior(X)(e);\mdownarrow{}\mexists{}e':E. ((es-p-local-pred(es;\mlambda{}e'.(\mdownarrow{}\mexists{}w:T. w \mmember{} X(e'))) e e') \mwedge{} v \mmember{} X(e')))
Date html generated:
2011_08_17-PM-06_23_28
Last ObjectModification:
2011_06_11-AM-01_49_47
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