Nuprl Lemma : parallel-bag-class_wf

∀[B,Info,T:Type]. ∀[X:T ─→ EClass(B)]. ∀[as:bag(T)].  ((||a∈as.X[a]) ∈ EClass(B))


Proof




Definitions occuring in Statement :  parallel-bag-class: (||a∈as.X[a]),  eclass: EClass(A[eo; e]),  uall: ∀[x:A]. B[x],  so_apply: x[s],  member: t ∈ T,  function: x:A ─→ B[x],  universe: Type,  bag: bag(T)
Lemmas :  bind-class_wf,  return-loc-bag-class_wf,  Id_wf,  bag_wf,  eclass_wf,  es-E_wf,  event-ordering+_subtype,  event-ordering+_wf
\mforall{}[B,Info,T:Type].  \mforall{}[X:T  {}\mrightarrow{}  EClass(B)].  \mforall{}[as:bag(T)].    ((||a\mmember{}as.X[a])  \mmember{}  EClass(B))



Date html generated: 2015_07_17-PM-00_45_53
Last ObjectModification: 2015_01_27-PM-11_06_29

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