Nuprl Lemma : Memory-classrel-loc

[Info,B,A:Type]. [f:Id  A  B  B]. [init:Id  bag(B)]. [X:EClass(A)]. [es:EO+(Info)]. [e:E]. [v:B].
  uiff(v  Memory-loc-class(f;init;X)(e);v  Memory-class(f loc(e);init;X)(e))


Proof not projected




Definitions occuring in Statement :  Memory-loc-class: Memory-loc-class(f;init;X),  Memory-class: Memory-class(f;init;X),  classrel: v  X(e),  eclass: EClass(A[eo; e]),  event-ordering+: EO+(Info),  es-loc: loc(e),  es-E: E,  Id: Id,  uiff: uiff(P;Q),  uall: [x:A]. B[x],  apply: f a,  function: x:A  B[x],  universe: Type,  bag: bag(T)
Definitions :  uiff: uiff(P;Q),  classrel: v  X(e),  and: P  Q,  uimplies: b supposing a,  member: t  T,  bag-member: x  bs,  squash: T,  true: True,  so_lambda: x y.t[x; y],  uall: [x:A]. B[x],  all: x:A. B[x],  so_apply: x[s1;s2],  implies: P  Q,  iff: P  Q,  rev_implies: P  Q,  prop: ,  subtype: S  T
Lemmas :  classrel_wf,  Memory-loc-class_wf,  Memory-class_wf,  es-loc_wf,  event-ordering+_inc,  es-E_wf,  event-ordering+_wf,  eclass_wf,  Id_wf,  bag_wf,  Memory-loc-classrel,  Memory-classrel

\mforall{}[Info,B,A:Type].  \mforall{}[f:Id  {}\mrightarrow{}  A  {}\mrightarrow{}  B  {}\mrightarrow{}  B].  \mforall{}[init:Id  {}\mrightarrow{}  bag(B)].  \mforall{}[X:EClass(A)].  \mforall{}[es:EO+(Info)].
\mforall{}[e:E].  \mforall{}[v:B].
    uiff(v  \mmember{}  Memory-loc-class(f;init;X)(e);v  \mmember{}  Memory-class(f  loc(e);init;X)(e))


Date html generated: 2012_01_23-PM-01_00_00
Last ObjectModification: 2012_01_12-PM-03_19_29

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