Nuprl Lemma : feedback-df-prog1_wf

[A:']. [dfp:DataflowProgram(A)]. [C:Type]. [G:bag(df-program-type(dfp))  bag(C)  bag(C)]. [P:bag(C)  ].
[buf:bag(C)].
  feedback-df-prog1(C;G;P;buf;dfp)  DataflowProgram(A) supposing valueall-type(C)


Proof not projected




Definitions occuring in Statement :  feedback-df-prog1: feedback-df-prog1(B;G;P;buf;dfp),  df-program-type: df-program-type(dfp),  dataflow-program: DataflowProgram(A),  bool: ,  uimplies: b supposing a,  uall: [x:A]. B[x],  member: t  T,  function: x:A  B[x],  universe: Type,  bag: bag(T),  valueall-type: valueall-type(T)
Definitions :  so_apply: x[s],  so_apply: x[s1;s2],  true: True,  squash: T,  so_lambda: x.t[x],  all: x:A. B[x],  pi1: fst(t),  spreadn: spread4,  unit: Unit,  feedback-df-prog1: feedback-df-prog1(B;G;P;buf;dfp),  member: t  T,  uimplies: b supposing a,  df-program-type: df-program-type(dfp),  dataflow-program: DataflowProgram(A),  uall: [x:A]. B[x],  sq_stable: SqStable(P),  implies: P  Q
Lemmas :  it_wf,  ifthenelse_wf,  evalall_wf,  equal-valueall-type,  union-valueall-type,  unit_wf2,  bag-valueall-type,  sq_stable__valueall-type,  product-valueall-type,  df-program-type_wf,  dataflow-program_wf,  bool_wf,  bag_wf,  valueall-type_wf

\mforall{}[A:\mBbbU{}'].  \mforall{}[dfp:DataflowProgram(A)].  \mforall{}[C:Type].  \mforall{}[G:bag(df-program-type(dfp))  {}\mrightarrow{}  bag(C)  {}\mrightarrow{}  bag(C)].
\mforall{}[P:bag(C)  {}\mrightarrow{}  \mBbbB{}].  \mforall{}[buf:bag(C)].
    feedback-df-prog1(C;G;P;buf;dfp)  \mmember{}  DataflowProgram(A)  supposing  valueall-type(C)


Date html generated: 2012_01_23-PM-12_00_12
Last ObjectModification: 2011_12_14-PM-05_29_59

Home Index