Nuprl Lemma : in-all-states_wf

[Info:Type]. [es:EO+(Info)]. [T:Type]. [A:EClass(T)]. [init:Id  T]. [P:T  ].
  (in-all-states{i:l}(Info;es;T;A;l.init[l];t.P[t])  ')


Proof not projected




Definitions occuring in Statement :  in-all-states: in-all-states{i:l}(Info;es;T;A;l.init[l];t.P[t]) eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) Id: Id uall: [x:A]. B[x] prop: so_apply: x[s] member: t  T function: x:A  B[x] universe: Type
Definitions :  set: {x:A| B[x]}  fpf: a:A fp-B[a] eq_atom: x =a y eq_atom: eq_atom$n(x;y) dep-isect: Error :dep-isect,  record+: record+ strong-subtype: strong-subtype(A;B) le: A  B ge: i  j  not: A less_than: a < b uimplies: b supposing a uiff: uiff(P;Q) subtype_rel: A r B bag: bag(T) es-loc: loc(e) top: Top es-E-interface: E(X) bag-member: bag-member(T;x;bs) implies: P  Q product: x:A  B[x] and: P  Q so_lambda: x.t[x] subtype: S  T event_ordering: EO es-E: E lambda: x.A[x] all: x:A. B[x] axiom: Ax apply: f a so_apply: x[s] in-all-states: in-all-states{i:l}(Info;es;T;A;l.init[l];t.P[t]) prop: equal: s = t event-ordering+: EO+(Info) universe: Type 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 function: x:A  B[x] tactic: Error :tactic
Lemmas :  Id_wf uall_wf bag-member_wf es-loc_wf event-ordering+_inc es-E-interface_wf eclass_wf subtype_rel_wf es-interface-top bag_wf event-ordering+_wf member_wf es-E_wf

\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[T:Type].  \mforall{}[A:EClass(T)].  \mforall{}[init:Id  {}\mrightarrow{}  T].  \mforall{}[P:T  {}\mrightarrow{}  \mBbbP{}].
    (in-all-states\{i:l\}(Info;es;T;A;l.init[l];t.P[t])  \mmember{}  \mBbbP{}')


Date html generated: 2011_10_21-AM-00_01_31
Last ObjectModification: 2011_05_11-PM-03_59_22

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