Nuprl Lemma : State-comb-single-val

[Info,A,B:Type]. ∀[es:EO+(Info)]. ∀[f:A ─→ B ─→ B]. ∀[X:EClass(A)]. ∀[init:Id ─→ bag(B)].
  (single-valued-classrel(es;State-comb(init;f;X);B)) supposing 
     ((∀l:Id. single-valued-bag(init l;B)) and 
     single-valued-classrel(es;X;A))


Proof




Definitions occuring in Statement :  State-comb: State-comb(init;f;X) 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 :  State-comb-single-val0 classrel_wf State-comb_wf es-E_wf event-ordering+_subtype es-loc_wf all_wf Id_wf single-valued-bag_wf single-valued-classrel_wf bag_wf eclass_wf event-ordering+_wf

Latex:
\mforall{}[Info,A,B:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[f:A  {}\mrightarrow{}  B  {}\mrightarrow{}  B].  \mforall{}[X:EClass(A)].  \mforall{}[init:Id  {}\mrightarrow{}  bag(B)].
    (single-valued-classrel(es;State-comb(init;f;X);B))  supposing 
          ((\mforall{}l:Id.  single-valued-bag(init  l;B))  and 
          single-valued-classrel(es;X;A))



Date html generated: 2015_07_22-PM-00_21_38
Last ObjectModification: 2015_01_28-AM-10_12_05

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