Nuprl Lemma : RSC_VoterState-trans2
[Cmd:ValueAllType]. [es:EO'].
e1,e2:E. n,a,b:
.
(e1 
loc e2
a 
Prior(RSC_VoterState(Cmd) n)?
z.{0}(e1)
b Prior(RSC_VoterState(Cmd) n)?z.{0}(e2)
(a b))
Proof not projected
Definitions occuring in Statement :
RSC_VoterState: RSC_VoterState(Cmd),
Message: Message,
primed-class-opt: Prior(X)?b,
classrel: v X(e),
event-ordering+: EO+(Info),
es-le: e loc e' ,
es-E: E,
uall: [x:A]. B[x],
le: A B,
all: x:A. B[x],
implies: P Q,
apply: f a,
lambda: x.A[x],
natural_number: $n,
int: ,
single-bag: {x},
vatype: ValueAllType
Definitions :
uall: [x:A]. B[x],
vatype: ValueAllType,
all: x:A. B[x],
implies: P Q,
le: A B,
member: t T,
nat: 
,
ge: i 
j ,
not: 
A,
false: False,
prop: 
,
squash: 
T,
true: True,
RSC_VoterState: Error :RSC_VoterState,
top: Top,
and: P 
Q,
or: P 
Q,
guard: {T},
exists: 
x:A. B[x],
name: Name,
strongwellfounded: SWellFounded(R[x; y]),
uimplies: b supposing a,
uiff: uiff(P;Q),
sq_stable: SqStable(P),
es-p-local-pred: es-p-local-pred(es;P),
Accum-class: Accum-class(f;init;X),
es-locl: (e <loc e'),
RSC_new_retry: Error :RSC_new_retry,
ifthenelse: if b then t else f fi ,
btrue: tt,
bfalse: ff,
sq_type: SQType(T),
iff: P 
Q,
subtype: S 
T,
RSC_Retry: Error :RSC_Retry
Lemmas :
es-causl-swellfnd,
event-ordering+_inc,
Message_wf,
nat_properties,
ge_wf,
nat_wf,
le_wf,
es-causl_wf,
es-E_wf,
event-ordering+_wf,
classrel_wf,
primed-class-opt_wf,
Error :RSC_VoterState_wf,
es-le_wf,
valueall-type_wf,
primed-class-opt-classrel,
sq_stable_from_decidable,
decidable__le,
rec-combined-class-opt-1-classrel,
Accum-class_wf,
Error :RSC_new_retry_wf,
Error :RSC_Retry_wf,
sq_stable__valueall-type,
simple-comb-2_wf,
lifting-2_wf,
simple-comb-2-classrel,
single-bag_wf,
Id_wf,
es-locl_transitivity2,
es-le_weakening,
band_wf,
eq_int_wf,
bool_wf,
assert_wf,
bor_wf,
bnot_wf,
not_wf,
bool_cases,
subtype_base_sq,
bool_subtype_base,
uiff_transitivity,
eqtt_to_assert,
assert_of_band,
and_functionality_wrt_uiff,
assert_of_eq_int,
iff_transitivity,
iff_weakening_uiff,
eqff_to_assert,
assert_functionality_wrt_uiff,
bnot_thru_band,
assert_of_bor,
or_functionality_wrt_uiff,
assert_of_bnot,
not_functionality_wrt_uiff,
RSC_VoterState-trans,
base-headers-msg-val_wf,
int_subtype_base,
bag-member-single,
RSC_VoterState-inv
\mforall{}[Cmd:ValueAllType]. \mforall{}[es:EO'].
\mforall{}e1,e2:E. \mforall{}n,a,b:\mBbbZ{}.
(e1 \mleq{}loc e2
{}\mRightarrow{} a \mmember{} Prior(RSC\_VoterState(Cmd) n)?\mlambda{}z.\{0\}(e1)
{}\mRightarrow{} b \mmember{} Prior(RSC\_VoterState(Cmd) n)?\mlambda{}z.\{0\}(e2)
{}\mRightarrow{} (a \mleq{} b))
Date html generated:
2012_02_20-PM-04_03_02
Last ObjectModification:
2012_02_02-PM-01_59_42
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