{ [V:Type]
    A:Id List. e:consensus-event(V;A).
      ((e = NextInning)
       (v:V. (e = Archive(v)))
       (b:{a:Id| (a  A)} 
          i:. z:i  V?. (e = consensus-message(b;i;z)))) }

{ Proof }



Definitions occuring in Statement :  consensus-message: consensus-message(b;i;z) archive-event: Archive(v) inning-event: NextInning consensus-event: consensus-event(V;A) Id: Id int_seg: {i..j} nat: uall: [x:A]. B[x] all: x:A. B[x] exists: x:A. B[x] or: P  Q unit: Unit set: {x:A| B[x]}  product: x:A  B[x] union: left + right list: type List natural_number: $n universe: Type equal: s = t l_member: (x  l)
Definitions :  uall: [x:A]. B[x] all: x:A. B[x] or: P  Q inning-event: NextInning exists: x:A. B[x] it: member: t  T guard: {T} prop: consensus-event: consensus-event(V;A) nat: unit: Unit sq_type: SQType(T) uimplies: b supposing a implies: P  Q archive-event: Archive(v) consensus-message: consensus-message(b;i;z)
Lemmas :  subtype_base_sq unit_wf unit_subtype_base it_wf inning-event_wf archive-event_wf l_member_wf nat_wf int_seg_wf consensus-message_wf consensus-event_wf Id_wf nat_properties

\mforall{}[V:Type]
    \mforall{}A:Id  List.  \mforall{}e:consensus-event(V;A).
        ((e  =  NextInning)
        \mvee{}  (\mexists{}v:V.  (e  =  Archive(v)))
        \mvee{}  (\mexists{}b:\{a:Id|  (a  \mmember{}  A)\}  .  \mexists{}i:\mBbbN{}.  \mexists{}z:\mBbbN{}i  \mtimes{}  V?.  (e  =  consensus-message(b;i;z))))


Date html generated: 2011_08_16-AM-10_09_24
Last ObjectModification: 2011_06_18-AM-09_02_44

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