Nuprl Lemma : primed-class-opt-single-val

[Info,B:Type]. [es:EO+(Info)]. [X:EClass(B)]. [init:Id  bag(B)].
  ((l:Id. single-valued-bag(init l;B))  single-valued-classrel(es;X;B)  single-valued-classrel(es;Prior(X)?init;B))


Proof not projected




Definitions occuring in Statement :  primed-class-opt: Prior(X)?b,  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: P  Q,  apply: f a,  function: x:A  B[x],  universe: Type,  single-valued-bag: single-valued-bag(b;T),  bag: bag(T)
Definitions :  so_lambda: x y.t[x; y],  so_lambda: x.t[x],  member: t  T,  single-valued-classrel: single-valued-classrel(es;X;T),  all: x:A. B[x],  implies: P  Q,  uall: [x:A]. B[x],  so_apply: x[s1;s2],  so_apply: x[s],  prop: ,  subtype: S  T,  guard: {T}
Lemmas :  es-loc_wf,  event-ordering+_wf,  eclass_wf,  bag_wf,  Id_wf,  single-valued-bag_wf,  all_wf,  single-valued-classrel_wf,  event-ordering+_inc,  es-E_wf,  primed-class-opt_wf,  classrel_wf,  primed-class-opt-single-val0

\mforall{}[Info,B:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[X:EClass(B)].  \mforall{}[init:Id  {}\mrightarrow{}  bag(B)].
    ((\mforall{}l:Id.  single-valued-bag(init  l;B))
    {}\mRightarrow{}  single-valued-classrel(es;X;B)
    {}\mRightarrow{}  single-valued-classrel(es;Prior(X)?init;B))


Date html generated: 2012_02_20-PM-02_52_19
Last ObjectModification: 2012_02_06-PM-07_56_10

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