Nuprl Lemma : on-loc-classrel

[Info,T:Type]. [X:Id  EClass(T)]. [es:EO+(Info)]. [e:E]. [v:T].  (v  on-loc-class(X)(e)  v  X loc(e)(e))


Proof not projected




Definitions occuring in Statement :  on-loc-class: on-loc-class(X) classrel: v  X(e) eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) es-loc: loc(e) es-E: E Id: Id uall: [x:A]. B[x] iff: P  Q apply: f a function: x:A  B[x] universe: Type
Definitions :  iff: P  Q classrel: v  X(e) on-loc-class: on-loc-class(X) and: P  Q implies: P  Q rev_implies: P  Q member: t  T prop: so_lambda: x y.t[x; y] uall: [x:A]. B[x] all: x:A. B[x] so_apply: x[s1;s2] eclass: EClass(A[eo; e]) subtype: S  T
Lemmas :  bag-member_wf es-loc_wf event-ordering+_inc classrel_wf on-loc-class_wf es-E_wf event-ordering+_wf Id_wf eclass_wf

\mforall{}[Info,T:Type].  \mforall{}[X:Id  {}\mrightarrow{}  EClass(T)].  \mforall{}[es:EO+(Info)].  \mforall{}[e:E].  \mforall{}[v:T].
    (v  \mmember{}  on-loc-class(X)(e)  \mLeftarrow{}{}\mRightarrow{}  v  \mmember{}  X  loc(e)(e))


Date html generated: 2011_10_20-PM-03_34_01
Last ObjectModification: 2011_09_21-PM-02_13_38

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