Nuprl Lemma : dataflow-to-Process_wf
∀[A,B:Type]. ∀[F:dataflow(A;B)]. ∀[g:B ─→ LabeledDAG(Id × (Com(P.A) Process(P.A)))].
(dataflow-to-Process(
F;
g) ∈ Process(P.A))
Proof
Definitions occuring in Statement :
dataflow-to-Process: dataflow-to-Process,
Process: Process(P.M[P]),
Com: Com(P.M[P]),
dataflow: dataflow(A;B),
ldag: LabeledDAG(T),
Id: Id,
uall: ∀[x:A]. B[x],
member: t ∈ T,
apply: f a,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type
Lemmas :
rec-process_wf_Process,
continuous-constant,
ldag_wf,
Id_wf,
Com_wf,
Process_wf,
dataflow_wf,
Com-subtype,
subtype_rel_wf,
dataflow-ap_wf,
subtype_rel-ldag,
subtype_rel_product
Latex:
\mforall{}[A,B:Type]. \mforall{}[F:dataflow(A;B)]. \mforall{}[g:B {}\mrightarrow{} LabeledDAG(Id \mtimes{} (Com(P.A) Process(P.A)))].
(dataflow-to-Process(
F;
g) \mmember{} Process(P.A))
Date html generated:
2015_07_23-AM-11_07_32
Last ObjectModification:
2015_01_29-AM-00_10_08
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