{ [V:Type]. [A:Id List]. [W:{a:Id| (a  A)}  List List].
  [f:ConsensusState  (consensus-state3(V) List)].
    (cs-ref-map-constraints(V;A;W;f)  ) }

{ Proof }



Definitions occuring in Statement :  cs-ref-map-constraints: cs-ref-map-constraints(V;A;W;f) consensus-state4: ConsensusState consensus-state3: consensus-state3(T) Id: Id uall: [x:A]. B[x] prop: member: t  T set: {x:A| B[x]}  function: x:A  B[x] list: type List universe: Type l_member: (x  l)
Definitions :  uall: [x:A]. B[x] member: t  T prop: cs-ref-map-constraints: cs-ref-map-constraints(V;A;W;f) all: x:A. B[x] and: P  Q exists: x:A. B[x] le: A  B implies: P  Q not: A false: False nat: uimplies: b supposing a
Lemmas :  nat_wf iff_wf length_wf1 consensus-state3_wf le_wf cs-inning_wf select_wf cs-initial_wf not_wf cs-inning-committable_wf cs-withdrawn_wf cs-commited_wf cs-inning-committed_wf cs-considering_wf consensus-state4_wf Id_wf l_member_wf

\mforall{}[V:Type].  \mforall{}[A:Id  List].  \mforall{}[W:\{a:Id|  (a  \mmember{}  A)\}    List  List].
\mforall{}[f:ConsensusState  {}\mrightarrow{}  (consensus-state3(V)  List)].
    (cs-ref-map-constraints(V;A;W;f)  \mmember{}  \mBbbP{})


Date html generated: 2011_08_16-AM-10_02_35
Last ObjectModification: 2011_06_18-AM-09_00_43

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