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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