Nuprl Lemma : ler2_nbr_from_config
es:EO'. nodes:bag(Id). e:E. epoch:
. j:Id.
(<epoch, j> 
ler2_Nbr()(e)
(
(epoch = 0) 
((epoch > 0) 
(
e':E. (e' 
loc e <epoch, j> ler2_config'base()(e'))))))
Proof not projected
Definitions occuring in Statement :
ler2_Nbr: ler2_Nbr(),
ler2_config'base: ler2_config'base(),
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],
natural_number: $n,
int: ,
equal: s = t,
bag: bag(T)
Definitions :
top: Top,
true: True,
false: False,
not: 
A,
le: A B,
ge: i 
j ,
nat: 
,
member: t T,
gt: i > j,
or: P Q,
squash: T,
implies: P Q,
all: x:A. B[x],
Id: Id,
cand: A c B,
subtype: S 
T,
so_lambda: 
x.t[x],
prop: 
,
guard: {T},
es-le: e loc e' ,
exists: x:A. B[x],
and: P Q,
uiff: uiff(P;Q),
uimplies: b supposing a,
ler2_PrNbr: Error :ler2_PrNbr,
ler2_new_conf: Error :ler2_new_conf,
Accum-class: Accum-class(f;init;X),
uall: [x:A]. B[x],
strongwellfounded: SWellFounded(R[x; y]),
ler2_Nbr: Error :ler2_Nbr,
es-locl: (e <loc e'),
es-p-local-pred: es-p-local-pred(es;P),
bfalse: ff,
btrue: tt,
ifthenelse: if b then t else f fi ,
pi1: fst(t),
so_apply: x[s],
pi2: snd(t),
sq_type: SQType(T)
Lemmas :
event-ordering+_wf,
bag_wf,
es-E_wf,
equal_wf,
Error :ler2_Nbr_wf,
classrel_wf,
single-bag_wf,
primed-class-opt-classrel,
Error :ler2_PrNbr_wf,
Error :ler2_config'base_wf,
Id_wf,
Error :ler2_new_conf_wf,
simple-comb-2-classrel,
rec-combined-class-opt-1-classrel,
es-causl_wf,
le_wf,
nat_wf,
less_than_wf,
ge_wf,
nat_properties,
Message_wf,
event-ordering+_inc,
es-causl-swellfnd,
atom2_subtype_base,
assert_of_le_int,
bnot_of_lt_int,
assert_functionality_wrt_uiff,
eqff_to_assert,
assert_of_lt_int,
eqtt_to_assert,
uiff_transitivity,
bool_subtype_base,
bool_cases,
exists_wf,
gt_wf,
and_wf,
bnot_wf,
le_int_wf,
es-le_wf,
es-locl_wf,
pi1_wf_top,
pi2_wf,
assert_wf,
bool_wf,
lt_int_wf,
int_subtype_base,
subtype_base_sq,
es-le_weakening,
es-locl_transitivity1,
es-loc_wf,
bag-member-single
\mforall{}es:EO'. \mforall{}nodes:bag(Id). \mforall{}e:E. \mforall{}epoch:\mBbbZ{}. \mforall{}j:Id.
(<epoch, j> \mmember{} ler2\_Nbr()(e)
{}\mRightarrow{} (\mdownarrow{}(epoch = 0) \mvee{} ((epoch > 0) \mwedge{} (\mexists{}e':E. (e' \mleq{}loc e \mwedge{} <epoch, j> \mmember{} ler2\_config'base()(e'))))))
Date html generated:
2012_02_20-PM-06_16_36
Last ObjectModification:
2012_02_02-PM-02_43_51
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