Nuprl Lemma : runEO_wf
∀[M:Type ⟶ Type]
∀[n2m:ℕ ⟶ pMsg(P.M[P])]. ∀[l2m:Id ⟶ pMsg(P.M[P])]. ∀[S0:System(P.M[P])]. ∀[env:pEnvType(P.M[P])].
runEO(n2m;l2m;env;S0) ∈ EO+(pMsg(P.M[P])) supposing run-initialization(pRun(S0;env;n2m;l2m);snd(S0))
supposing Continuous+(P.M[P])
Proof
Definitions occuring in Statement :
runEO: runEO(n2m;l2m;env;S),
run-initialization: run-initialization(r;G),
pRun: pRun(S0;env;nat2msg;loc2msg),
pEnvType: pEnvType(T.M[T]),
System: System(P.M[P]),
pMsg: pMsg(P.M[P]),
event-ordering+: EO+(Info),
Id: Id,
strong-type-continuous: Continuous+(T.F[T]),
nat: ℕ,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
so_apply: x[s],
pi2: snd(t),
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
uimplies: b supposing a,
member: t ∈ T,
so_lambda: λ2x.t[x],
so_apply: x[s],
subtype_rel: A ⊆r B,
runEO: runEO(n2m;l2m;env;S),
all: ∀x:A. B[x],
prop: ℙ,
System: System(P.M[P]),
pi2: snd(t),
ldag: LabeledDAG(T)
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]
\mforall{}[n2m:\mBbbN{} {}\mrightarrow{} pMsg(P.M[P])]. \mforall{}[l2m:Id {}\mrightarrow{} pMsg(P.M[P])]. \mforall{}[S0:System(P.M[P])].
\mforall{}[env:pEnvType(P.M[P])].
runEO(n2m;l2m;env;S0) \mmember{} EO+(pMsg(P.M[P]))
supposing run-initialization(pRun(S0;env;n2m;l2m);snd(S0))
supposing Continuous+(P.M[P])
Date html generated:
2016_05_17-AM-10_51_47
Last ObjectModification:
2015_12_29-PM-05_19_57
Theory : process-model
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