Nuprl Lemma : deliver-msg_wf
∀[M:Type ─→ Type]
∀[t:ℕ]. ∀[x:Id]. ∀[m:pMsg(P.M[P])]. ∀[L:LabeledDAG(pInTransit(P.M[P]))]. ∀[Cs:component(P.M[P]) List].
(deliver-msg(t;m;x;Cs;L) ∈ System(P.M[P]))
supposing Continuous+(P.M[P])
Proof
Definitions occuring in Statement :
deliver-msg: deliver-msg(t;m;x;Cs;L),
System: System(P.M[P]),
pInTransit: pInTransit(P.M[P]),
component: component(P.M[P]),
pMsg: pMsg(P.M[P]),
ldag: LabeledDAG(T),
Id: Id,
list: T List,
strong-type-continuous: Continuous+(T.F[T]),
nat: ℕ,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
list_accum_wf,
System_wf,
nil_wf,
subtype_rel_product,
list_wf,
subtype_rel_list,
subtype_rel_self,
deliver-msg-to-comp_wf,
component_wf,
ldag_wf,
pInTransit_wf,
pMsg_wf,
Id_wf,
nat_wf,
strong-type-continuous_wf
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]
\mforall{}[t:\mBbbN{}]. \mforall{}[x:Id]. \mforall{}[m:pMsg(P.M[P])]. \mforall{}[L:LabeledDAG(pInTransit(P.M[P]))].
\mforall{}[Cs:component(P.M[P]) List].
(deliver-msg(t;m;x;Cs;L) \mmember{} System(P.M[P]))
supposing Continuous+(P.M[P])
Date html generated:
2015_07_23-AM-11_08_38
Last ObjectModification:
2015_01_29-AM-00_09_26
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