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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