Nuprl Lemma : State-class-top

∀[Info,A:Type]. ∀[es:EO+(Info)]. ∀[f:Top]. ∀[X:EClass(A)]. ∀[init:Id ─→ bag(Top)].
  (State-class(init;f;X) ∈ EClass(Top))


Proof




Definitions occuring in Statement :  State-class: State-class(init;f;X),  eclass: EClass(A[eo; e]),  event-ordering+: EO+(Info),  Id: Id,  uall: ∀[x:A]. B[x],  top: Top,  member: t ∈ T,  function: x:A ─→ B[x],  universe: Type,  bag: bag(T)
Lemmas :  ifthenelse_wf,  bag-combine_wf,  single-bag_wf,  Memory-class_wf,  Id_wf,  bag_wf,  top_wf,  eclass_wf,  es-E_wf,  event-ordering+_subtype,  event-ordering+_wf,  simple-comb-2_wf

Latex:
\mforall{}[Info,A:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[f:Top].  \mforall{}[X:EClass(A)].  \mforall{}[init:Id  {}\mrightarrow{}  bag(Top)].
    (State-class(init;f;X)  \mmember{}  EClass(Top))



Date html generated: 2015_07_22-PM-00_20_27
Last ObjectModification: 2015_01_28-AM-10_13_35

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