Nuprl Lemma : run-initialization-property
∀[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])].
∀[e:runEvents(pRun(S0;env;n2m;l2m))]. fst(fst(run-info(pRun(S0;env;n2m;l2m);e))) < run-event-step(e)
supposing run-initialization(pRun(S0;env;n2m;l2m);snd(S0))
supposing Continuous+(P.M[P])
Proof
Definitions occuring in Statement :
run-initialization: run-initialization(r;G)
,
run-event-step: run-event-step(e)
,
runEvents: runEvents(r)
,
run-info: run-info(r;e)
,
pRun: pRun(S0;env;nat2msg;loc2msg)
,
pEnvType: pEnvType(T.M[T])
,
System: System(P.M[P])
,
pMsg: pMsg(P.M[P])
,
Id: Id
,
strong-type-continuous: Continuous+(T.F[T])
,
nat: ℕ
,
less_than: a < b
,
uimplies: b supposing a
,
uall: ∀[x:A]. B[x]
,
so_apply: x[s]
,
pi1: fst(t)
,
pi2: snd(t)
,
function: x:A ─→ B[x]
,
universe: Type
Lemmas :
pRun_wf,
fulpRunType-subtype,
pRun-invariant1,
runEvents_wf,
member-less_than,
run-info_wf,
pMsg_wf,
run-event-step_wf,
nat_wf,
run-initialization_wf,
pEnvType_wf,
System_wf,
Id_wf,
strong-type-continuous_wf,
eq_int_wf,
assert_wf,
bnot_wf,
not_wf,
equal-wf-T-base,
bool_cases,
subtype_base_sq,
bool_wf,
bool_subtype_base,
eqtt_to_assert,
assert_of_eq_int,
eqff_to_assert,
iff_transitivity,
iff_weakening_uiff,
assert_of_bnot,
product_subtype_base,
int_subtype_base,
atom2_subtype_base,
lg-label_wf,
pInTransit_wf
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])].
\mforall{}[e:runEvents(pRun(S0;env;n2m;l2m))]
fst(fst(run-info(pRun(S0;env;n2m;l2m);e))) < run-event-step(e)
supposing run-initialization(pRun(S0;env;n2m;l2m);snd(S0))
supposing Continuous+(P.M[P])
Date html generated:
2015_07_23-AM-11_15_57
Last ObjectModification:
2015_01_29-AM-00_08_32
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