{ [Info:Type]
    es:EO+(Info). X:EClass(Top). e:E.
      (prior(X)(e) <loc e)
       (prior(X)(e)  X)
       (e'':E. ((e'' <loc e)  (prior(X)(e) <loc e'')  (e''  X))) 
      supposing e  prior(X) }

{ Proof }



Definitions occuring in Statement :  es-prior-interface: prior(X) eclass-val: X(e) in-eclass: e  X eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) es-locl: (e <loc e') es-E: E assert: b uimplies: b supposing a uall: [x:A]. B[x] top: Top all: x:A. B[x] not: A implies: P  Q and: P  Q universe: Type
Definitions :  outl: outl(x) inr: inr x  bag_size_empty: bag_size_empty{bag_size_empty_compseq_tag_def:o} null: null(as) inl: inl x  Id: Id rev_implies: P  Q exists: x:A. B[x] iff: P  Q bag_only_single: bag_only_single{bag_only_single_compseq_tag_def:o}(x) bag_size_single: bag_size_single{bag_size_single_compseq_tag_def:o}(x) cand: A c B fpf: a:A fp-B[a] strong-subtype: strong-subtype(A;B) le: A  B ge: i  j  less_than: a < b uiff: uiff(P;Q) bool: natural_number: $n real: grp_car: |g| int: nat: bag-size: bag-size(bs) eq_int: (i = j) not: A sq_exists: x:{A| B[x]} union: left + right or: P  Q do-apply: do-apply(f;x) can-apply: can-apply(f;x) es-local-pred: last(P) local-pred-class: local-pred-class(P) eclass-val: X(e) subtype: S  T atom: Atom es-base-E: es-base-E(es) token: "$token" subtype_rel: A r B quotient: x,y:A//B[x; y] es-E-interface: E(X) dep-isect: Error :dep-isect,  eq_atom: x =a y eq_atom: eq_atom$n(x;y) record+: record+ bag: bag(T) set: {x:A| B[x]}  record-select: r.x top: Top es-prior-interface: prior(X) universe: Type eclass: EClass(A[eo; e]) so_lambda: x y.t[x; y] all: x:A. B[x] es-E: E event-ordering+: EO+(Info) event_ordering: EO uimplies: b supposing a prop: es-locl: (e <loc e') product: x:A  B[x] es-causl: (e < e') infix_ap: x f y apply: f a assert: b ifthenelse: if b then t else f fi  decide: case b of inl(x) =s[x] | inr(y) =t[y] true: True false: False void: Void uall: [x:A]. B[x] isect: x:A. B[x] implies: P  Q function: x:A  B[x] member: t  T equal: s = t and: P  Q MaAuto: Error :MaAuto,  CollapseTHEN: Error :CollapseTHEN,  D: Error :D,  CollapseTHENA: Error :CollapseTHENA,  RepUR: Error :RepUR,  Auto: Error :Auto,  in-eclass: e  X lambda: x.A[x]
Lemmas :  event-ordering+_wf event-ordering+_inc subtype_rel_self es-base-E_wf es-E_wf es-E-interface_wf es-prior-interface_wf es-interface-subtype_rel2 member_wf eclass_wf es-prior-interface_wf1 top_wf es-prior-interface_wf0 in-eclass_wf assert_wf subtype_rel_wf assert_witness es-local-pred-property es-locl_wf es-local-pred_wf not_wf eq_int_wf bag-size_wf nat_wf bag_wf bool_wf true_wf iff_wf false_wf es-causl_wf Id_wf ifthenelse_wf

\mforall{}[Info:Type]
    \mforall{}es:EO+(Info).  \mforall{}X:EClass(Top).  \mforall{}e:E.
        (prior(X)(e)  <loc  e)
        \mwedge{}  (\muparrow{}prior(X)(e)  \mmember{}\msubb{}  X)
        \mwedge{}  (\mforall{}e'':E.  ((e''  <loc  e)  {}\mRightarrow{}  (prior(X)(e)  <loc  e'')  {}\mRightarrow{}  (\mneg{}\muparrow{}e''  \mmember{}\msubb{}  X))) 
        supposing  \muparrow{}e  \mmember{}\msubb{}  prior(X)


Date html generated: 2011_08_16-PM-04_46_49
Last ObjectModification: 2011_06_20-AM-01_04_47

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