{ [locs:Id List]. [M:']. [T:Type]. [f:{x:Id| (x  locs)}   M  bag(T)].
    (general-base-program(locs;f;T)  eclass-program{i:l}(M)) }

{ Proof }



Definitions occuring in Statement :  general-base-program: general-base-program(locs;f;T) eclass-program: eclass-program{i:l}(Info) Id: Id uall: [x:A]. B[x] member: t  T set: {x:A| B[x]}  function: x:A  B[x] list: type List universe: Type l_member: (x  l) bag: bag(T)
Definitions :  void: Void top: Top apply: f a pi1: fst(t) exists: x:A. B[x] subtype: S  T union: left + right inl: inl x  it: unit: Unit df-program-type: df-program-type(dfp) lambda: x.A[x] mk_fpf: mk_fpf(L;f) dataflow-program: DataflowProgram(A) so_lambda: x.t[x] pair: <a, b> prop: eclass: EClass(A[eo; e]) fpf: a:A fp-B[a] strong-subtype: strong-subtype(A;B) le: A  B ge: i  j  not: A less_than: a < b uimplies: b supposing a product: x:A  B[x] and: P  Q uiff: uiff(P;Q) subtype_rel: A r B all: x:A. B[x] list: type List universe: Type uall: [x:A]. B[x] bag: bag(T) set: {x:A| B[x]}  l_member: (x  l) Id: Id function: x:A  B[x] isect: x:A. B[x] member: t  T axiom: Ax equal: s = t eclass-program: eclass-program{i:l}(Info) general-base-program: general-base-program(locs;f;T) MaAuto: Error :MaAuto,  RepUR: Error :RepUR,  CollapseTHEN: Error :CollapseTHEN,  Auto: Error :Auto,  Unfold: Error :Unfold
Lemmas :  member_wf dataflow-program_wf unit_wf bag_wf it_wf df-program-type_wf Id_wf fpf_wf l_member_wf mk_fpf_wf eclass-program_wf subtype_rel_wf pi1_wf pi1_wf_top

\mforall{}[locs:Id  List].  \mforall{}[M:\mBbbU{}'].  \mforall{}[T:Type].  \mforall{}[f:\{x:Id|  (x  \mmember{}  locs)\}    {}\mrightarrow{}  M  {}\mrightarrow{}  bag(T)].
    (general-base-program(locs;f;T)  \mmember{}  eclass-program\{i:l\}(M))


Date html generated: 2011_08_16-PM-06_28_29
Last ObjectModification: 2011_03_22-AM-11_43_10

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