Nuprl Lemma : ler_Config_to_Nbr2
es:EO'. nodes:bag(Id). e:E. epoch:
. i:Id.
(ler_consistent_configuration(es)
(e:E. epoch:. i:Id. (<epoch, i> 
ler_Config()(e) (epoch > 0)))
<epoch, i> ler_Config()(e)
(e':{e':E| (e' <loc e)} . epoch':. j:Id. (<epoch', j> ler_Config()(e') (epoch' 
epoch)))
<epoch, i> ler_Nbr()(e))
Proof not projected
Definitions occuring in Statement :
ler_consistent_configuration: ler_consistent_configuration(es),
ler_Nbr: ler_Nbr(),
ler_Config: ler_Config(),
Message: Message,
classrel: v X(e),
event-ordering+: EO+(Info),
es-locl: (e <loc e'),
es-E: E,
Id: Id,
gt: i > j,
le: A B,
all: x:A. B[x],
implies: P Q,
set: {x:A| B[x]} ,
pair: <a, b>,
product: x:A 
B[x],
natural_number: $n,
int: ,
bag: bag(T)
Definitions :
all: x:A. B[x],
implies: P Q,
ler_consistent_configuration: ler_consistent_configuration(es),
gt: i > j,
ler_Nbr: ler_Nbr(),
member: t T,
top: Top,
let: let,
prop: 
,
ler_dumEpoch: ler_dumEpoch(),
squash: 
T,
exists: 
x:A. B[x],
and: P 
Q,
ifthenelse: if b then t else f fi ,
uimplies: b supposing a,
uiff: uiff(P;Q),
true: True,
or: P 
Q,
btrue: tt,
bfalse: ff,
false: False,
subtype: S 
T,
so_lambda: 
x.t[x],
Id: Id,
eclass: EClass(A[eo; e]),
label: ...$L... t,
guard: {T},
iff: P 
Q,
rev_implies: P Q,
uall: [x:A]. B[x],
rev_uimplies: rev_uimplies(P;Q),
decidable: Dec(P),
es-locl: (e <loc e'),
le: A B,
es-p-local-pred: es-p-local-pred(es;P),
not: 
A,
sq_stable: SqStable(P),
bool: 
,
unit: Unit,
pi2: snd(t),
so_apply: x[s],
pi1: fst(t),
sq_type: SQType(T),
class-opt: X?b,
nat: 
,
it: 
,
classrel: v X(e)
Lemmas :
ler-ilf,
rec-combined-loc-class-opt-1-classrel,
simple-loc-comb-2-concat-classrel,
ifthenelse_wf,
lt_int_wf,
bag_wf,
single-bag_wf,
primed-class-opt_wf,
ler_dumEpoch_wf,
ler_Nbr_wf,
decidable__lt,
bag-size_wf,
Id_wf,
Message_wf,
nat_wf,
es-E_wf,
event-ordering+_inc,
es-locl_wf,
classrel_wf,
ler_Config_wf,
le_wf,
gt_wf,
es-loc_wf,
event-ordering+_wf,
bag-member-iff-size,
primed-class-opt-classrel,
sq_stable__bag-member,
bool_wf,
uiff_transitivity,
assert_wf,
eqtt_to_assert,
assert_of_lt_int,
bag-member-single,
le_int_wf,
bnot_wf,
eqff_to_assert,
assert_functionality_wrt_uiff,
bnot_of_lt_int,
assert_of_le_int,
ler_Nbr_from_Config,
es-locl_transitivity1,
Error :pi2_wf,
pi1_wf_top,
subtype_base_sq,
int_subtype_base,
bag-member_wf,
es-le-loc,
atom2_subtype_base,
eclass_wf2,
bag-null_wf,
primed-class_wf,
empty-bag_wf,
not_wf,
not_functionality_wrt_uiff,
empty-bag-iff-size,
squash_wf,
true_wf,
primed-class-opt_eq_class-opt-primed,
bool_cases,
bool_subtype_base,
assert-bag-null,
assert_of_bnot
\mforall{}es:EO'. \mforall{}nodes:bag(Id). \mforall{}e:E. \mforall{}epoch:\mBbbZ{}. \mforall{}i:Id.
(ler\_consistent\_configuration(es)
{}\mRightarrow{} (\mforall{}e:E. \mforall{}epoch:\mBbbZ{}. \mforall{}i:Id. (<epoch, i> \mmember{} ler\_Config()(e) {}\mRightarrow{} (epoch > 0)))
{}\mRightarrow{} <epoch, i> \mmember{} ler\_Config()(e)
{}\mRightarrow{} (\mforall{}e':\{e':E| (e' <loc e)\} . \mforall{}epoch':\mBbbZ{}. \mforall{}j:Id.
(<epoch', j> \mmember{} ler\_Config()(e') {}\mRightarrow{} (epoch' \mleq{} epoch)))
{}\mRightarrow{} <epoch, i> \mmember{} ler\_Nbr()(e))
Date html generated:
2012_02_20-PM-06_08_13
Last ObjectModification:
2012_02_02-PM-02_40_30
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