Nuprl Lemma : rsc5_addvote_wf

[Cmd:ValueAllType]. [cmdeq:EqDecider(Cmd)].
  (rsc5_addvote(Cmd;cmdeq)  B,A:'.  (    Cmd  Id    Cmd + A  (Id List)  (  Cmd + B  (Id List))))


Proof not projected




Definitions occuring in Statement :  rsc5_addvote: rsc5_addvote(Cmd;cmdeq) 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) vatype: ValueAllType
Definitions :  bfalse: ff btrue: tt outl: outl(x) isl: isl(x) ifthenelse: if b then t else f fi  rsc5_possmajstep: rsc5_possmajstep(Cmd;cmdeq) rsc5_addvote: rsc5_addvote(Cmd;cmdeq) member: t  T vatype: ValueAllType uall: [x:A]. B[x]
Lemmas :  valueall-type_wf deq_wf Id_wf int-deq_wf eqof_wf ifthenelse_wf

\mforall{}[Cmd:ValueAllType].  \mforall{}[cmdeq:EqDecider(Cmd)].
    (rsc5\_addvote(Cmd;cmdeq)  \mmember{}  \mcap{}B,A:\mBbbU{}'.
                                                              (\mBbbZ{}  \mtimes{}  \mBbbZ{}  \mtimes{}  Cmd  \mtimes{}  Id
                                                              {}\mrightarrow{}  \mBbbZ{}  \mtimes{}  Cmd  +  A  \mtimes{}  (Id  List)
                                                              {}\mrightarrow{}  (\mBbbZ{}  \mtimes{}  Cmd  +  B  \mtimes{}  (Id  List))))


Date html generated: 2012_02_20-PM-05_05_40
Last ObjectModification: 2012_02_02-PM-02_18_08

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