Nuprl Lemma : deliver-msg-to-comp_wf
∀[M:Type ─→ Type]
∀[t:ℕ]. ∀[x:Id]. ∀[m:pMsg(P.M[P])]. ∀[S:System(P.M[P])]. ∀[C:component(P.M[P])].
(deliver-msg-to-comp(t;m;x;S;C) ∈ System(P.M[P]))
supposing Continuous+(P.M[P])
Proof
Definitions occuring in Statement :
deliver-msg-to-comp: deliver-msg-to-comp(t;m;x;S;C),
System: System(P.M[P]),
component: component(P.M[P]),
pMsg: pMsg(P.M[P]),
Id: Id,
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 :
eq_id_wf,
bool_wf,
eqtt_to_assert,
assert-eq-id,
Process-apply_wf,
Process_wf,
pExt_wf,
lg-append_wf_dag,
add-cause_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
cons_wf,
component_wf,
Id_wf,
list_wf,
ldag_wf,
pInTransit_wf,
System_wf,
pMsg_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{}[S:System(P.M[P])]. \mforall{}[C:component(P.M[P])].
(deliver-msg-to-comp(t;m;x;S;C) \mmember{} System(P.M[P]))
supposing Continuous+(P.M[P])
Date html generated:
2015_07_23-AM-11_08_35
Last ObjectModification:
2015_01_29-AM-00_09_31
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