{ [Info,A:Type]. [I:EClass(A)]. [P:es:EO+(Info)  E  ].
  [p:es:EO+(Info). e:E.  Dec(P[es;e])].
    ((I|p)  EClass(A)) }

{ Proof }



Definitions occuring in Statement :  es-interface-co-restrict: (I|p) eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) es-E: E decidable: Dec(P) uall: [x:A]. B[x] prop: so_apply: x[s1;s2] all: x:A. B[x] member: t  T function: x:A  B[x] universe: Type
Definitions :  inr: inr x  pair: <a, b> bool: inl: inl x  limited-type: LimitedType atom: Atom top: Top es-base-E: es-base-E(es) token: "$token" so_apply: x[s] guard: {T} l_member: (x  l) es-E-interface: E(X) so_lambda: x.t[x] fpf: a:A fp-B[a] strong-subtype: strong-subtype(A;B) record-select: r.x eq_atom: x =a y eq_atom: eq_atom$n(x;y) set: {x:A| B[x]}  ifthenelse: if b then t else f fi  assert: b dep-isect: Error :dep-isect,  record+: record+ le: A  B ge: i  j  less_than: a < b uimplies: b supposing a product: x:A  B[x] and: P  Q uiff: uiff(P;Q) or: P  Q subtype_rel: A r B void: Void implies: P  Q false: False not: A subtype: S  T union: left + right axiom: Ax empty-bag: {} decide: case b of inl(x) =s[x] | inr(y) =t[y] lambda: x.A[x] apply: f a so_apply: x[s1;s2] decidable: Dec(P) all: x:A. B[x] eclass: EClass(A[eo; e]) es-interface-co-restrict: (I|p) equal: s = t bag: bag(T) uall: [x:A]. B[x] isect: x:A. B[x] member: t  T function: x:A  B[x] prop: universe: Type es-E: E event_ordering: EO event-ordering+: EO+(Info) MaAuto: Error :MaAuto,  CollapseTHEN: Error :CollapseTHEN
Lemmas :  event-ordering+_wf es-E_wf bag_wf subtype_rel_wf decidable_wf not_wf member_wf event-ordering+_inc empty-bag_wf uall_wf es-base-E_wf subtype_rel_self

\mforall{}[Info,A:Type].  \mforall{}[I:EClass(A)].  \mforall{}[P:es:EO+(Info)  {}\mrightarrow{}  E  {}\mrightarrow{}  \mBbbP{}].
\mforall{}[p:\mforall{}es:EO+(Info).  \mforall{}e:E.    Dec(P[es;e])].
    ((I|\mneg{}p)  \mmember{}  EClass(A))


Date html generated: 2011_08_16-PM-04_25_48
Last ObjectModification: 2011_06_20-AM-00_50_16

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