{ [V:Type]. [A:Id List]. [num:]. [f:V List  V]. [s:
                                                            
                                                            {a:Id| 
                                                              (a  A)}  List
                                                            V List
                                                            V].
  [r:consensus-rcv(V;A)].
    (consensus-accum-num(num;f;s;r)
         {a:Id| (a  A)}  List  V List  V) }

{ Proof }



Definitions occuring in Statement :  consensus-accum-num: consensus-accum-num(num;f;s;r),  consensus-rcv: consensus-rcv(V;A),  Id: Id,  bool: ,  uall: [x:A]. B[x],  member: t  T,  set: {x:A| B[x]} ,  function: x:A  B[x],  product: x:A  B[x],  list: type List,  int: ,  universe: Type,  l_member: (x  l)
Definitions :  uall: [x:A]. B[x],  member: t  T,  consensus-accum-num: consensus-accum-num(num;f;s;r),  spreadn: let a,b,c,d,e = u in v[a; b; c; d; e],  spreadn: spread3,  let: let,  so_lambda: x.t[x],  consensus-rcv: consensus-rcv(V;A),  prop: ,  uimplies: b supposing a,  so_apply: x[s],  nat:
Lemmas :  ifthenelse_wf,  eq_int_wf,  btrue_wf,  bfalse_wf,  consensus-rcv_wf,  bool_wf,  Id_wf,  l_member_wf,  id-deq_wf,  strong-subtype-deq-subtype,  strong-subtype-set3,  strong-subtype-self,  lt_int_wf,  length_wf1,  remove-repeats_wf,  append_wf,  values-for-distinct_wf,  zip_wf

\mforall{}[V:Type].  \mforall{}[A:Id  List].  \mforall{}[num:\mBbbZ{}].  \mforall{}[f:V  List  {}\mrightarrow{}  V].  \mforall{}[s:\mBbbB{}  \mtimes{}  \mBbbZ{}  \mtimes{}  \{a:Id|  (a  \mmember{}  A)\}    List  \mtimes{}  V  List  \mtimes{}  V]\000C.
\mforall{}[r:consensus-rcv(V;A)].
    (consensus-accum-num(num;f;s;r)  \mmember{}  \mBbbB{}  \mtimes{}  \mBbbZ{}  \mtimes{}  \{a:Id|  (a  \mmember{}  A)\}    List  \mtimes{}  V  List  \mtimes{}  V)


Date html generated: 2011_08_16-AM-10_12_13
Last ObjectModification: 2011_06_18-AM-09_04_35

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