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

{ Proof }



Definitions occuring in Statement :  es-interface-co-restrict: (I|p) es-interface-restrict: (I|p) cond-class: [X?Y] sv-class: Singlevalued(X) eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) es-E: E decidable: Dec(P) uimplies: b supposing a uall: [x:A]. B[x] prop: so_apply: x[s1;s2] all: x:A. B[x] function: x:A  B[x] universe: Type equal: s = t
Definitions :  inr: inr x  bag_size_empty: bag_size_empty{bag_size_empty_compseq_tag_def:o} inl: inl x  empty-bag: {} natural_number: $n bag-size: bag-size(bs) eq_int: (i = j) limited-type: LimitedType eclass-compose2: eclass-compose2(f;X;Y) set: {x:A| B[x]}  decide: case b of inl(x) =s[x] | inr(y) =t[y] bool: eq_atom: eq_atom$n(x;y) atom: Atom es-base-E: es-base-E(es) token: "$token" eq_atom: x =a y ifthenelse: if b then t else f fi  record-select: r.x dep-isect: Error :dep-isect,  record+: record+ so_apply: x[s] implies: P  Q guard: {T} l_member: (x  l) assert: b bag: bag(T) so_lambda: x.t[x] subtype: S  T lambda: x.A[x] top: Top pair: <a, b> fpf: a:A fp-B[a] strong-subtype: strong-subtype(A;B) void: Void false: False union: left + right or: P  Q le: A  B ge: i  j  not: A less_than: a < b product: x:A  B[x] and: P  Q uiff: uiff(P;Q) subtype_rel: A r B axiom: Ax es-interface-co-restrict: (I|p) es-interface-restrict: (I|p) cond-class: [X?Y] sv-class: Singlevalued(X) apply: f a so_apply: x[s1;s2] decidable: Dec(P) uimplies: b supposing a equal: s = t so_lambda: x y.t[x; y] eclass: EClass(A[eo; e]) prop: universe: Type es-E: E event_ordering: EO event-ordering+: EO+(Info) uall: [x:A]. B[x] isect: x:A. B[x] member: t  T function: x:A  B[x] all: x:A. B[x] Auto: Error :Auto,  CollapseTHEN: Error :CollapseTHEN,  D: Error :D,  Try: Error :Try,  RepeatFor: Error :RepeatFor,  Unfold: Error :Unfold,  MaAuto: Error :MaAuto,  tactic: Error :tactic,  rev_implies: P  Q iff: P  Q
Lemmas :  sv-class-iff es-interface-restrict_wf es-interface-co-restrict_wf cond-class_wf eclass_wf sv-class_wf event-ordering+_wf es-E_wf decidable_wf event-ordering+_inc uall_wf es-base-E_wf subtype_rel_self bag_wf member_wf subtype_rel_wf es-interface-top ifthenelse_wf

\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|p)?(I|\mneg{}p)]  =  I  supposing  Singlevalued(I)


Date html generated: 2011_08_16-PM-04_28_02
Last ObjectModification: 2011_06_20-AM-00_52_05

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