Nuprl Lemma : system-strongly-realizes_wf
∀[M:Type ─→ Type]
∀[S:InitialSystem(P.M[P])]. ∀[n2m:ℕ ─→ pMsg(P.M[P])]. ∀[l2m:Id ─→ pMsg(P.M[P])]. ∀[A:pEnvType(P.M[P])
─→ pRunType(P.M[P])
─→ ℙ].
∀[B:EO+(pMsg(P.M[P])) ─→ ℙ].
(assuming(env,r.A[env;r])
S |= eo.B[eo] ∈ ℙ)
supposing Continuous+(P.M[P])
Proof
Definitions occuring in Statement :
system-strongly-realizes: system-strongly-realizes,
InitialSystem: InitialSystem(P.M[P]),
pEnvType: pEnvType(T.M[T]),
pRunType: pRunType(T.M[T]),
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],
prop: ℙ,
so_apply: x[s1;s2],
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
all_wf,
sub-system_wf,
system-realizes_wf,
pRunType_wf,
pEnvType_wf,
event-ordering+_wf,
pMsg_wf,
Id_wf,
nat_wf,
InitialSystem_wf,
strong-type-continuous_wf
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]
\mforall{}[S:InitialSystem(P.M[P])]. \mforall{}[n2m:\mBbbN{} {}\mrightarrow{} pMsg(P.M[P])]. \mforall{}[l2m:Id {}\mrightarrow{} pMsg(P.M[P])].
\mforall{}[A:pEnvType(P.M[P]) {}\mrightarrow{} pRunType(P.M[P]) {}\mrightarrow{} \mBbbP{}]. \mforall{}[B:EO+(pMsg(P.M[P])) {}\mrightarrow{} \mBbbP{}].
(assuming(env,r.A[env;r])
S |= eo.B[eo] \mmember{} \mBbbP{})
supposing Continuous+(P.M[P])
Date html generated:
2015_07_23-AM-11_19_55
Last ObjectModification:
2015_01_28-PM-11_17_08
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