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
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
dataflow-to-Process: dataflow-to-Process, 
so_lambda: λ2x.t[x]
, 
so_apply: x[s]
, 
uimplies: b supposing a
, 
so_lambda: λ2x y.t[x; y]
, 
so_apply: x[s1;s2]
, 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
, 
subtype_rel: A ⊆r B
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:
2016_05_17-AM-10_24_15
Last ObjectModification:
2015_12_29-PM-05_27_22
Theory : process-model
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