Nuprl Lemma : rsc5_roundout_wf

[Cmd:ValueAllType]. [clients:bag(Id)]. [cmdeq:EqDecider(Cmd)]. [coeff,flrs:]. [locs:bag(Id)].
  (rsc5_roundout(Cmd;clients;cmdeq;coeff;flrs;locs)  A:'
                                                        (Id
                                                             Cmd  Id
                                                           Cmd + A  (Id List)
                                                         bag(Id  Message)))


Proof not projected




Definitions occuring in Statement :  rsc5_roundout: rsc5_roundout(Cmd;clients;cmdeq;coeff;flrs;locs) Message: Message Id: Id uall: [x:A]. B[x] member: t  T isect: x:A. B[x] function: x:A  B[x] product: x:A  B[x] union: left + right list: type List int: universe: Type deq: EqDecider(T) bag: bag(T) vatype: ValueAllType
Definitions :  guard: {T} bfalse: ff outl: outl(x) isl: isl(x) btrue: tt implies: P  Q all: x:A. B[x] rsc5_possmajstep: rsc5_possmajstep(Cmd;cmdeq) ifthenelse: if b then t else f fi  rsc5_roundout: rsc5_roundout(Cmd;clients;cmdeq;coeff;flrs;locs) member: t  T vatype: ValueAllType uall: [x:A]. B[x] and: P  Q uiff: uiff(P;Q) uimplies: b supposing a unit: Unit bool: it:
Lemmas :  deq_wf empty-bag_wf not_functionality_wrt_uiff assert_of_bnot eqff_to_assert not_wf bnot_wf rsc5_retry'send_wf single-bag_wf valueall-type_wf rsc5_notify'broadcast_wf rsc5_decided'broadcast_wf bag-append_wf Message_wf bag_wf ifthenelse_wf safe-assert-deq eqtt_to_assert assert_wf equal_wf uiff_transitivity bool_wf Id_wf length_wf int-deq_wf eqof_wf

\mforall{}[Cmd:ValueAllType].  \mforall{}[clients:bag(Id)].  \mforall{}[cmdeq:EqDecider(Cmd)].  \mforall{}[coeff,flrs:\mBbbZ{}].  \mforall{}[locs:bag(Id)].
    (rsc5\_roundout(Cmd;clients;cmdeq;coeff;flrs;locs)  \mmember{}  \mcap{}A:\mBbbU{}'
                                                                                                                (Id
                                                                                                                {}\mrightarrow{}  \mBbbZ{}  \mtimes{}  \mBbbZ{}  \mtimes{}  Cmd  \mtimes{}  Id
                                                                                                                {}\mrightarrow{}  \mBbbZ{}  \mtimes{}  Cmd  +  A  \mtimes{}  (Id  List)
                                                                                                                {}\mrightarrow{}  bag(Id  \mtimes{}  Message)))


Date html generated: 2012_02_20-PM-05_05_23
Last ObjectModification: 2012_02_02-PM-02_18_00

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