Nuprl Lemma : Accum-loc-class-es-sv1

[Info,A,B:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(A)]. ∀[init:Id ─→ bag(B)]. ∀[f:Id ─→ A ─→ B ─→ B].
  (es-sv-class(es;Accum-loc-class(f;init;X))) supposing ((∀l:Id. (#(init l) ≤ 1)) and es-sv-class(es;X))


Definitions occuring in Statement :  Accum-loc-class: Accum-loc-class(f;init;X) es-sv-class: es-sv-class(es;X) eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) Id: Id uimplies: supposing a uall: [x:A]. B[x] le: A ≤ B all: x:A. B[x] apply: a function: x:A ─→ B[x] natural_number: $n universe: Type bag-size: #(bs) bag: bag(T)
Lemmas :  rec-combined-loc-class-opt-1-es-sv subtype_rel_dep_function bag_wf top_wf subtype_rel_bag less_than_wf bag-size_wf Accum-loc-class_wf eclass_wf es-E_wf event-ordering+_subtype event-ordering+_wf nat_wf all_wf Id_wf le_wf es-sv-class_wf

\mforall{}[Info,A,B:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[X:EClass(A)].  \mforall{}[init:Id  {}\mrightarrow{}  bag(B)].  \mforall{}[f:Id  {}\mrightarrow{}  A  {}\mrightarrow{}  B  {}\mrightarrow{}  B].
    (es-sv-class(es;Accum-loc-class(f;init;X)))  supposing 
          ((\mforall{}l:Id.  (\#(init  l)  \mleq{}  1))  and 

Date html generated: 2015_07_22-PM-00_18_00
Last ObjectModification: 2015_01_28-AM-10_42_44

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