Nuprl Lemma : ohc_v2_when_quorum1_wf

[Cmd:ValueAllType]. [cmdeq:EqDecider(Cmd)]. [flrs:].
  (ohc_v2_when_quorum1(Cmd;cmdeq;flrs)      Id      Cmd  Id  Cmd List  (Id List)  bag(Cmd?  Cmd))


Proof not projected




Definitions occuring in Statement :  ohc_v2_when_quorum1: ohc_v2_when_quorum1(Cmd;cmdeq;flrs) Id: Id uall: [x:A]. B[x] unit: Unit member: t  T function: x:A  B[x] product: x:A  B[x] union: left + right list: type List int: deq: EqDecider(T) bag: bag(T) vatype: ValueAllType
Definitions :  uall: [x:A]. B[x] vatype: ValueAllType member: t  T ohc_v2_when_quorum1: ohc_v2_when_quorum1(Cmd;cmdeq;flrs) ifthenelse: if b then t else f fi  ohc_v2_newvote: ohc_v2_newvote() ohc_v2_roundout1: ohc_v2_roundout1(Cmd;cmdeq;flrs) all: x:A. B[x] implies: P  Q btrue: tt bfalse: ff unit: Unit bool: uimplies: b supposing a uiff: uiff(P;Q) and: P  Q nat: it:
Lemmas :  band_wf eqof_wf product-deq_wf int-deq_wf bnot_wf deq-member_wf Id_wf id-deq_wf bool_wf eqtt_to_assert ifthenelse_wf eq_int_wf length_wf bag_wf unit_wf2 poss-maj_wf single-bag_wf it_wf empty-bag_wf uiff_transitivity equal_wf assert_wf not_wf eqff_to_assert assert_of_bnot deq_wf valueall-type_wf

\mforall{}[Cmd:ValueAllType].  \mforall{}[cmdeq:EqDecider(Cmd)].  \mforall{}[flrs:\mBbbZ{}].
    (ohc\_v2\_when\_quorum1(Cmd;cmdeq;flrs)  \mmember{}  \mBbbZ{}  \mtimes{}  \mBbbZ{}
                                                                                  {}\mrightarrow{}  Id
                                                                                  {}\mrightarrow{}  \mBbbZ{}  \mtimes{}  \mBbbZ{}  \mtimes{}  Cmd  \mtimes{}  Id
                                                                                  {}\mrightarrow{}  Cmd  List  \mtimes{}  (Id  List)
                                                                                  {}\mrightarrow{}  bag(Cmd?  \mtimes{}  Cmd))


Date html generated: 2012_02_20-PM-05_33_36
Last ObjectModification: 2012_02_17-PM-10_31_53

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