Nuprl Lemma : class-output-eq

[Info,T:Type]. [X:EClass(T)]. [es:EO+(Info)]. [bg:bag(E)].
  (class-output(X;es;bg) = eclass-output-support(es;bg).X es e)


Proof not projected




Definitions occuring in Statement :  class-output-support: class-output-support(es;bg),  class-output: class-output(X;es;bg),  eclass: EClass(A[eo; e]),  event-ordering+: EO+(Info),  es-E: E,  uall: [x:A]. B[x],  apply: f a,  universe: Type,  equal: s = t,  bag-combine: xbs.f[x],  bag: bag(T)
Definitions :  eclass: EClass(A[eo; e]),  bag: bag(T),  class-output: class-output(X;es;bg),  class-output-support: class-output-support(es;bg),  class-le-before: class-le-before(X;es;e),  member: t  T,  all: x:A. B[x],  subtype: S  T,  rev_implies: P  Q,  iff: P  Q,  and: P  Q,  implies: P  Q,  uall: [x:A]. B[x],  prop: ,  so_apply: x[s]
Lemmas :  es-E_wf,  event-ordering+_inc,  bag_wf,  es-le-before_wf2,  es-le_wf,  event-ordering+_wf,  bag-combine-assoc

\mforall{}[Info,T:Type].  \mforall{}[X:EClass(T)].  \mforall{}[es:EO+(Info)].  \mforall{}[bg:bag(E)].
    (class-output(X;es;bg)  =  \mcup{}e\mmember{}class-output-support(es;bg).X  es  e)


Date html generated: 2012_01_23-PM-12_16_18
Last ObjectModification: 2011_11_30-PM-02_20_07

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