{ [Info,T,A:Type]. [X:EClass(T)]. [g:T List  bag(A)].
    (es-interface-state(X; g)  EClass(A)) }

{ Proof }



Definitions occuring in Statement :  es-interface-state: es-interface-state(X; g) eclass: EClass(A[eo; e]) uall: [x:A]. B[x] member: t  T function: x:A  B[x] list: type List universe: Type bag: bag(T)
Definitions :  true: True btrue: tt sq_type: SQType(T) bool: es-loc: loc(e) Id: Id permutation: permutation(T;L1;L2) quotient: x,y:A//B[x; y] prop: so_apply: x[s] implies: P  Q guard: {T} l_member: (x  l) in-eclass: e  X union: left + right or: P  Q atom: Atom es-base-E: es-base-E(es) token: "$token" es-le: e loc e'  es-le-before: loc(e) record-select: r.x eq_atom: x =a y eq_atom: eq_atom$n(x;y) decide: case b of inl(x) =s[x] | inr(y) =t[y] ifthenelse: if b then t else f fi  assert: b dep-isect: Error :dep-isect,  record+: record+ set: {x:A| B[x]}  es-E-interface: E(X) filter: filter(P;l) eclass-vals: X(L) apply: f a subtype: S  T event_ordering: EO es-E: E event-ordering+: EO+(Info) lambda: x.A[x] top: Top 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 all: x:A. B[x] axiom: Ax es-interface-state: es-interface-state(X; g) universe: Type so_lambda: x y.t[x; y] eclass: EClass(A[eo; e]) uall: [x:A]. B[x] bag: bag(T) list: type List function: x:A  B[x] isect: x:A. B[x] member: t  T equal: s = t MaAuto: Error :MaAuto,  CollapseTHEN: Error :CollapseTHEN,  Auto: Error :Auto,  tactic: Error :tactic
Lemmas :  es-base-E_wf es-E-interface_wf es-E_wf es-le_wf member_wf es-le-before_wf2 es-interface-top eclass_wf filter_wf eclass-vals_wf subtype_rel_self event-ordering+_wf assert_wf event-ordering+_inc bag_wf in-eclass_wf subtype_rel_wf permutation_wf list-subtype l_member_wf es-le-before_wf Id_wf filter_type es-loc_wf bool_wf subtype_base_sq bool_subtype_base assert_elim

\mforall{}[Info,T,A:Type].  \mforall{}[X:EClass(T)].  \mforall{}[g:T  List  {}\mrightarrow{}  bag(A)].    (es-interface-state(X;  g)  \mmember{}  EClass(A))


Date html generated: 2011_08_16-PM-04_25_11
Last ObjectModification: 2011_06_20-AM-00_50_02

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