Nuprl Lemma : Memory-loc-class-single-val

[Info,A,S:Type]. ∀[init:Id ─→ bag(S)]. ∀[f:Id ─→ A ─→ S ─→ S]. ∀[X:EClass(A)].
  ∀es:EO+(Info)
    (single-valued-classrel(es;X;A)
     (∀l:Id. single-valued-bag(init l;S))
     single-valued-classrel(es;Memory-loc-class(f;init;X);S))


Proof




Definitions occuring in Statement :  Memory-loc-class: Memory-loc-class(f;init;X) single-valued-classrel: single-valued-classrel(es;X;T) eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) Id: Id uall: [x:A]. B[x] all: x:A. B[x] implies:  Q apply: a function: x:A ─→ B[x] universe: Type single-valued-bag: single-valued-bag(b;T) bag: bag(T)
Lemmas :  Memory-classrel-loc Memory-class-single-val es-loc_wf classrel_wf Memory-loc-class_wf es-E_wf event-ordering+_subtype all_wf Id_wf single-valued-bag_wf single-valued-classrel_wf event-ordering+_wf eclass_wf bag_wf

Latex:
\mforall{}[Info,A,S:Type].  \mforall{}[init:Id  {}\mrightarrow{}  bag(S)].  \mforall{}[f:Id  {}\mrightarrow{}  A  {}\mrightarrow{}  S  {}\mrightarrow{}  S].  \mforall{}[X:EClass(A)].
    \mforall{}es:EO+(Info)
        (single-valued-classrel(es;X;A)
        {}\mRightarrow{}  (\mforall{}l:Id.  single-valued-bag(init  l;S))
        {}\mRightarrow{}  single-valued-classrel(es;Memory-loc-class(f;init;X);S))



Date html generated: 2015_07_22-PM-00_13_00
Last ObjectModification: 2015_01_28-AM-10_47_06

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