Nuprl Lemma : RSC_VoterState-inv

[Cmd:ValueAllType]. [es:EO'].  e:E. n,cmd_num:.  (n  RSC_VoterState(Cmd) cmd_num(e)  (0  n))


Proof not projected




Definitions occuring in Statement :  RSC_VoterState: RSC_VoterState(Cmd),  Message: Message,  classrel: v  X(e),  event-ordering+: EO+(Info),  es-E: E,  uall: [x:A]. B[x],  le: A  B,  all: x:A. B[x],  implies: P  Q,  apply: f a,  natural_number: $n,  int: ,  vatype: ValueAllType
Definitions :  uall: [x:A]. B[x],  vatype: ValueAllType,  all: x:A. B[x],  implies: P  Q,  RSC_VoterState: Error :RSC_VoterState,  le: A  B,  member: t  T,  nat: ,  ge: i  j ,  not: A,  false: False,  prop: ,  squash: T,  true: True,  RSC_new_retry: Error :RSC_new_retry,  top: Top,  strongwellfounded: SWellFounded(R[x; y]),  exists: x:A. B[x],  Accum-class: Accum-class(f;init;X),  sq_stable: SqStable(P),  uimplies: b supposing a,  and: P  Q,  uiff: uiff(P;Q),  sq_type: SQType(T),  guard: {T},  or: P  Q,  es-p-local-pred: es-p-local-pred(es;P),  es-locl: (e <loc e'),  subtype: S  T
Lemmas :  es-causl-swellfnd,  event-ordering+_inc,  nat_properties,  ge_wf,  nat_wf,  le_wf,  es-causl_wf,  rec-combined-class-opt-1-classrel,  Accum-class_wf,  Error :RSC_new_retry_wf,  Error :RSC_Retry_wf,  sq_stable__valueall-type,  valueall-type_wf,  classrel_wf,  Message_wf,  simple-comb-2_wf,  lifting-2_wf,  simple-comb-2-classrel,  primed-class-opt_wf,  single-bag_wf,  Id_wf,  Error :RSC_VoterState_wf,  sq_stable_from_decidable,  decidable__le,  subtype_base_sq,  int_subtype_base,  primed-class-opt-classrel,  ifthenelse_wf,  band_wf,  eq_int_wf,  bag-member-single,  es-E_wf,  event-ordering+_wf

\mforall{}[Cmd:ValueAllType].  \mforall{}[es:EO'].    \mforall{}e:E.  \mforall{}n,cmd$_{num}$:\mBbbZ{}.    (n  \mmember{}  RSC\_VoterState(Cm\000Cd)  cmd$_{num}$(e)  {}\mRightarrow{}  (0  \mleq{}  n))


Date html generated: 2012_02_20-PM-04_02_43
Last ObjectModification: 2012_02_02-PM-01_59_39

Home Index