Nuprl Lemma : ler2_propose_from_choose
es:EO'. nodes:bag(Id). uid:Id 
. client:Id. e:E. epoch,i:.
((ler2_message-constraint{i:l}(client;nodes;uid) es)
<epoch, i> 
ler2_propose'base()(e)
(
e':{e':E| (e' < e)} . epoch ler2_choose'base()(e')))
Proof not projected
Definitions occuring in Statement :
Message: Message,
classrel: v X(e),
event-ordering+: EO+(Info),
es-causl: (e < e'),
es-E: E,
Id: Id,
all: x:A. B[x],
exists: x:A. B[x],
squash: T,
implies: P Q,
set: {x:A| B[x]} ,
apply: f a,
function: x:A B[x],
pair: <a, b>,
product: x:A 
B[x],
int: ,
bag: bag(T)
Definitions :
cand: A c
B,
or: P 
Q,
so_lambda: 
x.t[x],
and: P Q,
name: Name,
es-header: es-header(es;e),
ler2_headers_no_inputs: Error :ler2_headers_no_inputs,
true: True,
prop: 
,
false: False,
not: 
A,
le: A 
B,
ge: i 
j ,
nat: 
,
member: t T,
exists: x:A. B[x],
squash: T,
implies: P Q,
all: x:A. B[x],
rev_implies: P 
Q,
iff: P Q,
so_apply: x[s],
uiff: uiff(P;Q),
uimplies: b supposing a,
message-constraint: message-constraint{i:l}(es;X;hdrs),
uall: [x:A]. B[x],
strongwellfounded: SWellFounded(R[x; y]),
ler2_propose'base: Error :ler2_propose'base,
ler2_message-constraint: Error :ler2_message-constraint,
msg-header: msg-header(m),
subtype: S 
T,
ler2_choose'base: Error :ler2_choose'base
Lemmas :
event-ordering+_wf,
bag_wf,
equal_wf,
Error :ler2_message-constraint_wf,
Error :ler2_propose'base_wf,
Error :ler2_choose'base_wf,
es-causle_weakening,
es-causl_transitivity2,
ler2_propose-ilf,
es-loc_wf,
Error :ler2_main_wf,
Id_wf,
classrel_wf,
es-E_wf,
exists_wf,
squash_wf,
Error :ler2_headers_no_inputs_wf,
msg-header_wf,
l_member_wf,
name_wf,
cons_member,
valueall-type_wf,
int-valueall-type,
product-valueall-type,
base-noloc-classrel-make-Msg,
es-causl_wf,
le_wf,
nat_wf,
less_than_wf,
ge_wf,
nat_properties,
Message_wf,
event-ordering+_inc,
es-causl-swellfnd
\mforall{}es:EO'. \mforall{}nodes:bag(Id). \mforall{}uid:Id {}\mrightarrow{} \mBbbZ{} {}\mrightarrow{} \mBbbZ{}. \mforall{}client:Id. \mforall{}e:E. \mforall{}epoch,i:\mBbbZ{}.
((ler2\_message-constraint\{i:l\}(client;nodes;uid) es)
{}\mRightarrow{} <epoch, i> \mmember{} ler2\_propose'base()(e)
{}\mRightarrow{} (\mdownarrow{}\mexists{}e':\{e':E| (e' < e)\} . epoch \mmember{} ler2\_choose'base()(e')))
Date html generated:
2012_02_20-PM-06_16_45
Last ObjectModification:
2012_02_02-PM-02_43_55
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