Nuprl Lemma : ler_Nbr_from_Config
es:EO'. nodes:bag(Id). e:E. epoch:
. j:Id.
(<epoch, j> 
ler_Nbr()(e)
(
(epoch = ler_dumEpoch()) 
((epoch > ler_dumEpoch()) 
(
e':E. (e' 
loc e <epoch, j> ler_Config()(e'))))))
Proof not projected
Definitions occuring in Statement :
ler_Nbr: ler_Nbr(),
ler_dumEpoch: ler_dumEpoch(),
ler_Config: ler_Config(),
Message: Message,
classrel: v X(e),
event-ordering+: EO+(Info),
es-le: e loc e' ,
es-E: E,
Id: Id,
gt: i > j,
all: x:A. B[x],
exists: x:A. B[x],
squash: T,
implies: P Q,
or: P Q,
and: P Q,
pair: <a, b>,
product: x:A 
B[x],
int: ,
equal: s = t,
bag: bag(T)
Definitions :
rev_implies: P 
Q,
so_lambda: 
x y.t[x; y],
iff: P Q,
and: P Q,
let: let,
top: Top,
guard: {T},
true: True,
prop: 
,
false: False,
not: 
A,
le: A B,
ge: i 
j ,
nat: 
,
member: t T,
gt: i > j,
or: P Q,
squash: T,
ler_Nbr: ler_Nbr(),
implies: P Q,
all: x:A. B[x],
Id: Id,
cand: A c B,
so_lambda: x.t[x],
subtype: S 
T,
es-le: e loc e' ,
exists: x:A. B[x],
so_apply: x[s1;s2],
sq_type: SQType(T),
bfalse: ff,
btrue: tt,
uiff: uiff(P;Q),
uimplies: b supposing a,
class-opt: X?b,
ifthenelse: if b then t else f fi ,
uall: [x:A]. B[x],
strongwellfounded: SWellFounded(R[x; y]),
classrel: v X(e),
pi1: fst(t),
so_apply: x[s],
pi2: snd(t),
es-locl: (e <loc e'),
es-p-local-pred: es-p-local-pred(es;P),
eclass: EClass(A[eo; e])
Lemmas :
primed-class-opt_eq_class-opt-primed,
simple-loc-comb-2_wf,
Error :eclass_wf,
true_wf,
squash_wf,
not_functionality_wrt_uiff,
assert_of_bnot,
eqff_to_assert,
not_wf,
bnot_wf,
assert-bag-null,
eqtt_to_assert,
empty-bag_wf,
assert_wf,
uiff_transitivity,
bool_subtype_base,
bool_wf,
subtype_base_sq,
bag-null_wf,
bool_cases,
primed-class_wf,
class-opt_wf,
simple-loc-comb-2-concat-classrel,
rec-combined-loc-class-opt-1_wf,
ler_dumEpoch_wf,
ler_Config_wf,
single-bag_wf,
lt_int_wf,
ifthenelse_wf,
concat-lifting-loc-2_wf,
event-ordering+_wf,
Id_wf,
bag_wf,
es-E_wf,
ler_Nbr_wf,
classrel_wf,
rec-combined-loc-class-opt-1-classrel,
ler-ilf,
es-causl_wf,
le_wf,
nat_wf,
ge_wf,
nat_properties,
Message_wf,
event-ordering+_inc,
es-causl-swellfnd,
atom2_subtype_base,
int_subtype_base,
gt_wf,
assert_of_le_int,
bnot_of_lt_int,
assert_functionality_wrt_uiff,
le_int_wf,
es-le_wf,
es-locl_wf,
assert_of_lt_int,
pi1_wf_top,
Error :pi2_wf,
es-loc_wf,
bag-member-single,
es-le_weakening,
es-locl_transitivity1,
prior-classrel-p-local-pred
\mforall{}es:EO'. \mforall{}nodes:bag(Id). \mforall{}e:E. \mforall{}epoch:\mBbbZ{}. \mforall{}j:Id.
(<epoch, j> \mmember{} ler\_Nbr()(e)
{}\mRightarrow{} (\mdownarrow{}(epoch = ler\_dumEpoch())
\mvee{} ((epoch > ler\_dumEpoch()) \mwedge{} (\mexists{}e':E. (e' \mleq{}loc e \mwedge{} <epoch, j> \mmember{} ler\_Config()(e'))))))
Date html generated:
2012_02_20-PM-06_03_58
Last ObjectModification:
2012_02_02-PM-02_39_00
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