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

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