Nuprl Lemma : rec-combined-loc-class-opt-1-single-val

[Info,A,B:Type]. ∀[es:EO+(Info)]. ∀[F:Id ─→ A ─→ B ─→ B]. ∀[X:EClass(A)]. ∀[init:Id ─→ bag(B)].
  (single-valued-classrel(es;lifting-loc-2(F)|Loc, X, Prior(self)?init|;B)) supposing 
     (single-valued-classrel(es;X;A) and 
     (∀l:Id. single-valued-bag(init l;B)))


Proof




Definitions occuring in Statement :  lifting-loc-2: lifting-loc-2(f) rec-combined-loc-class-opt-1: F|Loc, X, Prior(self)?init| single-valued-classrel: single-valued-classrel(es;X;T) eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) Id: Id uimplies: supposing a uall: [x:A]. B[x] all: x:A. B[x] apply: a function: x:A ─→ B[x] universe: Type single-valued-bag: single-valued-bag(b;T) bag: bag(T)
Lemmas :  rec-combined-loc-class-opt-1-single-val0 classrel_wf rec-combined-loc-class-opt-1_wf lifting-loc-2_wf es-E_wf event-ordering+_subtype es-loc_wf single-valued-classrel_wf all_wf Id_wf single-valued-bag_wf bag_wf eclass_wf event-ordering+_wf

Latex:
\mforall{}[Info,A,B:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[F:Id  {}\mrightarrow{}  A  {}\mrightarrow{}  B  {}\mrightarrow{}  B].  \mforall{}[X:EClass(A)].  \mforall{}[init:Id  {}\mrightarrow{}  bag(B)].
    (single-valued-classrel(es;lifting-loc-2(F)|Loc,  X,  Prior(self)?init|;B))  supposing 
          (single-valued-classrel(es;X;A)  and 
          (\mforall{}l:Id.  single-valued-bag(init  l;B)))



Date html generated: 2015_07_22-PM-00_16_54
Last ObjectModification: 2015_01_28-AM-10_43_29

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