Nuprl Lemma : create-component_wf
∀[M:Type ⟶ Type]. ∀[t:ℕ]. ∀[x:Id]. ∀[P:Process(P.M[P])]. ∀[L:LabeledDAG(pInTransit(P.M[P]))].
∀[Cs:component(P.M[P]) List].
(create-component(t;P;x;Cs;L) ∈ System(P.M[P]))
Proof
Definitions occuring in Statement :
create-component: create-component(t;P;x;Cs;L),
System: System(P.M[P]),
pInTransit: pInTransit(P.M[P]),
component: component(P.M[P]),
Process: Process(P.M[P]),
ldag: LabeledDAG(T),
Id: Id,
list: T List,
nat: ℕ,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
create-component: create-component(t;P;x;Cs;L),
so_lambda: λ2x.t[x],
so_apply: x[s],
subtype_rel: A ⊆r B,
component: component(P.M[P]),
System: System(P.M[P])
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[t:\mBbbN{}]. \mforall{}[x:Id]. \mforall{}[P:Process(P.M[P])]. \mforall{}[L:LabeledDAG(pInTransit(P.M[P]))].
\mforall{}[Cs:component(P.M[P]) List].
(create-component(t;P;x;Cs;L) \mmember{} System(P.M[P]))
Date html generated:
2016_05_17-AM-10_39_12
Last ObjectModification:
2015_12_29-PM-05_25_15
Theory : process-model
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