Nuprl Lemma : rsc5_rounds_inv

es:EO'. e1:E. Cmd:ValueAllType. n,round:.  (round  rsc5_NewRoundsState(Cmd) n(e1)  (0  round))


Proof not projected




Definitions occuring in Statement :  rsc5_NewRoundsState: rsc5_NewRoundsState(Cmd),  Message: Message,  classrel: v  X(e),  event-ordering+: EO+(Info),  es-E: E,  le: A  B,  all: x:A. B[x],  implies: P  Q,  apply: f a,  natural_number: $n,  int: ,  vatype: ValueAllType
Definitions :  false: False,  not: A,  bfalse: ff,  guard: {T},  btrue: tt,  ifthenelse: if b then t else f fi ,  true: True,  squash: T,  so_lambda: x.t[x],  member: t  T,  prop: ,  rsc5_update_round: rsc5_update_round(Cmd),  le: A  B,  implies: P  Q,  vatype: ValueAllType,  all: x:A. B[x],  sq_type: SQType(T),  iff: P  Q,  and: P  Q,  uiff: uiff(P;Q),  uimplies: b supposing a,  unit: Unit,  bool: ,  so_apply: x[s],  sq_stable: SqStable(P),  uall: [x:A]. B[x],  rsc5_init: rsc5_init(),  rsc5_NewRoundsState: rsc5_NewRoundsState(Cmd),  subtype: S  T,  it:
Lemmas :  event-ordering+_wf,  es-E_wf,  rsc5_NewRoundsState_wf,  classrel_wf,  es-loc_wf,  bag-member_wf,  int_subtype_base,  subtype_base_sq,  bag-member-single,  event-ordering+_inc,  es-locl_wf,  safe-assert-deq,  assert_of_lt_int,  less_than_wf,  assert_wf,  and_functionality_wrt_uiff3,  lt_int_wf,  int-deq_wf,  eqof_wf,  assert_of_band,  eqtt_to_assert,  bool_wf,  decidable__le,  sq_stable_from_decidable,  valueall-type_wf,  sq_stable__valueall-type,  rsc5_RoundInfo_wf,  bag_wf,  Id_wf,  rsc5_init_wf,  rsc5_update_round_wf,  le_wf,  Message_wf,  Memory-class-invariant

\mforall{}es:EO'.  \mforall{}e1:E.  \mforall{}Cmd:ValueAllType.  \mforall{}n,round:\mBbbZ{}.
    (round  \mmember{}  rsc5\_NewRoundsState(Cmd)  n(e1)  {}\mRightarrow{}  (0  \mleq{}  round))


Date html generated: 2012_02_20-PM-05_07_47
Last ObjectModification: 2012_02_02-PM-02_19_04

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