Nuprl Lemma : system-function_wf
∀[M:Type ⟶ Type]. ∀[S:System(P.M[P])].
(system-function(S) ∈ Id ⟶ (Process(P.M[P]) List × LabeledGraph(pInTransit(P.M[P]))))
Proof
Definitions occuring in Statement :
system-function: system-function(S),
System: System(P.M[P]),
pInTransit: pInTransit(P.M[P]),
Process: Process(P.M[P]),
labeled-graph: LabeledGraph(T),
Id: Id,
list: T List,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ⟶ B[x],
product: x:A × B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
system-function: system-function(S),
so_lambda: λ2x.t[x],
so_apply: x[s],
lg-nil: lg-nil()
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[S:System(P.M[P])].
(system-function(S) \mmember{} Id {}\mrightarrow{} (Process(P.M[P]) List \mtimes{} LabeledGraph(pInTransit(P.M[P]))))
Date html generated:
2016_05_17-AM-10_37_29
Last ObjectModification:
2015_12_29-PM-05_26_00
Theory : process-model
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