{ [Info,T:Type]. [X:EClass(T)].  (X >xEmpty = Empty) }

{ Proof }



Definitions occuring in Statement :  bind-class: X >xY[x] es-empty-interface: Empty eclass: EClass(A[eo; e]) uall: [x:A]. B[x] universe: Type equal: s = t
Definitions :  implies: P  Q record-select: r.x set: {x:A| B[x]}  decide: case b of inl(x) =s[x] | inr(y) =t[y] ifthenelse: if b then t else f fi  assert: b eq_atom: x =a y eq_atom: eq_atom$n(x;y) dep-isect: Error :dep-isect,  record+: record+ apply: f a bag: bag(T) subtype: S  T event_ordering: EO es-E: E event-ordering+: EO+(Info) lambda: x.A[x] top: Top so_lambda: x.t[x] pair: <a, b> fpf: a:A fp-B[a] strong-subtype: strong-subtype(A;B) le: A  B ge: i  j  not: A less_than: a < b uimplies: b supposing a product: x:A  B[x] and: P  Q uiff: uiff(P;Q) subtype_rel: A r B function: x:A  B[x] all: x:A. B[x] bind-class: X >xY[x] axiom: Ax universe: Type equal: s = t uall: [x:A]. B[x] so_lambda: x y.t[x; y] isect: x:A. B[x] eclass: EClass(A[eo; e]) es-empty-interface: Empty member: t  T squash: T limited-type: LimitedType sqequal: s ~ t permutation: permutation(T;L1;L2) nil: [] tag-by: zT rev_implies: P  Q or: P  Q iff: P  Q record: record(x.T[x]) fset: FSet{T} dataflow: dataflow(A;B) isect2: T1  T2 b-union: A  B union: left + right true: True fpf-sub: f  g deq: EqDecider(T) ma-state: State(ds) prop: class-program: ClassProgram(T) es-E-interface: Error :es-E-interface,  fpf-cap: f(x)?z atom: Atom es-base-E: es-base-E(es) token: "$token" bool: quotient: x,y:A//B[x; y] es-loc: loc(e) Id: Id Auto: Error :Auto,  CollapseTHEN: Error :CollapseTHEN,  RepeatFor: Error :RepeatFor,  empty-bag: {} bag-combine: xbs.f[x] AssertBY: Error :AssertBY,  MaAuto: Error :MaAuto,  es-le: e loc e'  list: type List es-le-before: loc(e) CollapseTHENA: Error :CollapseTHENA,  RepUR: Error :RepUR
Lemmas :  es-le_wf subtype_rel_wf subtype_rel_self es-base-E_wf es-le-before_wf2 es-le-before_wf Id_wf permutation_wf bag-combine-empty-right empty-bag_wf true_wf squash_wf bag-combine_wf bag_wf member_wf event-ordering+_wf es-E_wf eclass_wf event-ordering+_inc es-empty-interface_wf bind-class_wf

\mforall{}[Info,T:Type].  \mforall{}[X:EClass(T)].    (X  >x>  Empty  =  Empty)


Date html generated: 2011_08_16-AM-11_35_35
Last ObjectModification: 2011_06_20-AM-00_29_26

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