{ [Info:Type]. [es:EO+(Info)]. [X:EClass(Top)]. [i:Id]. [e:E].
    uiff(e  X@i;(loc(e) = i)  (e  X)) }

{ Proof }



Definitions occuring in Statement :  es-interface-at: X@i in-eclass: e  X eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) es-loc: loc(e) es-E: E Id: Id assert: b uiff: uiff(P;Q) uall: [x:A]. B[x] top: Top and: P  Q universe: Type equal: s = t
Definitions :  subtype_rel: A r B bag: bag(T) set: {x:A| B[x]}  real: grp_car: |g| nat: natural_number: $n apply: f a bag-size: bag-size(bs) eq_int: (i = j) bag_size_empty: bag_size_empty{bag_size_empty_compseq_tag_def:o} lt_int: i <z j le_int: i z j bfalse: ff btrue: tt not: A eq_lnk: a = b es-eq-E: e = e' es-bless: e <loc e' es-ble: e loc e' bimplies: p  q band: p  q bor: p q eq_id: a = b bnot: b int: unit: Unit union: left + right lambda: x.A[x] subtype: S  T limited-type: LimitedType top: Top es-interface-at: X@i all: x:A. B[x] in-eclass: e  X bool: function: x:A  B[x] implies: P  Q axiom: Ax es-loc: loc(e) prop: pair: <a, b> universe: Type uiff: uiff(P;Q) and: P  Q product: x:A  B[x] uimplies: b supposing 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 equal: s = t false: False void: Void so_lambda: x y.t[x; y] eclass: EClass(A[eo; e]) Id: Id uall: [x:A]. B[x] isect: x:A. B[x] member: t  T es-E: E event_ordering: EO event-ordering+: EO+(Info) RepUR: Error :RepUR,  CollapseTHEN: Error :CollapseTHEN,  Auto: Error :Auto,  CollapseTHENA: Error :CollapseTHENA
Lemmas :  not_wf Id_wf bnot_wf assert_wf bool_wf assert-eq-id not_functionality_wrt_uiff assert_of_bnot uiff_transitivity eqff_to_assert es-loc_wf eqtt_to_assert event-ordering+_wf event-ordering+_inc es-E_wf top_wf eclass_wf in-eclass_wf es-interface-at_wf assert_witness eq_id_wf eq_int_wf bag-size_wf nat_wf bag_wf member_wf false_wf

\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[X:EClass(Top)].  \mforall{}[i:Id].  \mforall{}[e:E].
    uiff(\muparrow{}e  \mmember{}\msubb{}  X@i;(loc(e)  =  i)  \mwedge{}  (\muparrow{}e  \mmember{}\msubb{}  X))


Date html generated: 2011_08_16-PM-04_30_37
Last ObjectModification: 2011_06_20-AM-00_52_40

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