Nuprl Lemma : stdEO-locl
∀[M:Type ─→ Type]
∀S0:InitialSystem(P.M[P]). ∀n2m:ℕ ─→ pMsg(P.M[P]). ∀l2m:Id ─→ pMsg(P.M[P]). ∀env:pEnvType(P.M[P]). ∀e1,e2:E.
((e1 <loc e2) ⇐⇒ (run-event-loc(e1) = run-event-loc(e2) ∈ Id) ∧ run-event-step(e1) < run-event-step(e2))
supposing Continuous+(P.M[P])
Proof
Definitions occuring in Statement :
stdEO: stdEO(n2m;l2m;env;S),
InitialSystem: InitialSystem(P.M[P]),
run-event-step: run-event-step(e),
run-event-loc: run-event-loc(e),
pEnvType: pEnvType(T.M[T]),
pMsg: pMsg(P.M[P]),
es-locl: (e <loc e'),
es-E: E,
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],
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
rec_select_update_lemma,
run-event-loc_wf,
pRun_wf2,
run-event-step_wf,
run-lt_wf,
runEvents_wf,
Id_wf,
squash_wf,
infix_ap_wf,
true_wf,
subtype_rel_dep_function,
subtype_rel_self,
set_wf,
less_than_wf,
nat_wf,
rel-rel-plus,
run-pred_wf,
equal_wf,
pi1_wf_top,
run-info_wf,
subtype_rel_product,
pMsg_wf,
top_wf,
subtype_top
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]
\mforall{}S0:InitialSystem(P.M[P]). \mforall{}n2m:\mBbbN{} {}\mrightarrow{} pMsg(P.M[P]). \mforall{}l2m:Id {}\mrightarrow{} pMsg(P.M[P]). \mforall{}env:pEnvType(P.M[P]).
\mforall{}e1,e2:E.
((e1 <loc e2)
\mLeftarrow{}{}\mRightarrow{} (run-event-loc(e1) = run-event-loc(e2)) \mwedge{} run-event-step(e1) < run-event-step(e2))
supposing Continuous+(P.M[P])
Date html generated:
2015_07_23-AM-11_16_23
Last ObjectModification:
2015_01_28-PM-11_19_36
Home
Index