Nuprl Lemma : SM1-class-du-locally-programmable

[A:']
  B:{B:'| valueall-type(B)} . init:Id  bag(B). tr:Id  A  B  B.
    [X:EClass'(A)]. (NormalLProgrammable'(A;X)  NormalLProgrammable'(B;SM1-class-du(init;<tr, X>)))


Proof not projected




Definitions occuring in Statement :  SM1-class-du: SM1-class-du(init;trX),  Message: Message,  normal-locally-programmable: NormalLProgrammable(A;X),  eclass: EClass(A[eo; e]),  Id: Id,  uall: [x:A]. B[x],  all: x:A. B[x],  implies: P  Q,  set: {x:A| B[x]} ,  function: x:A  B[x],  pair: <a, b>,  universe: Type,  bag: bag(T),  valueall-type: valueall-type(T)
Definitions :  uall: [x:A]. B[x],  all: x:A. B[x],  eclass: EClass(A[eo; e]),  implies: P  Q,  SM1-class-du: SM1-class-du(init;trX),  member: t  T,  prop: ,  subtype: S  T
Lemmas :  Accum-loc-class-locally-programmable,  normal-locally-programmable_wf,  Message_wf,  event-ordering+_wf,  es-E_wf,  event-ordering+_inc,  bag_wf,  Id_wf,  valueall-type_wf

\mforall{}[A:\mBbbU{}']
    \mforall{}B:\{B:\mBbbU{}'|  valueall-type(B)\}  .  \mforall{}init:Id  {}\mrightarrow{}  bag(B).  \mforall{}tr:Id  {}\mrightarrow{}  A  {}\mrightarrow{}  B  {}\mrightarrow{}  B.
        \mforall{}[X:EClass'(A)]
            (NormalLProgrammable'(A;X)  {}\mRightarrow{}  NormalLProgrammable'(B;SM1-class-du(init;<tr,  X>)))


Date html generated: 2012_01_23-PM-01_07_15
Last ObjectModification: 2011_11_29-PM-05_48_01

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