Nuprl Lemma : stdEO-E-property
∀[M:Type ─→ Type]
∀n2m:ℕ ─→ pMsg(P.M[P]). ∀l2m:Id ─→ pMsg(P.M[P]). ∀S2:InitialSystem(P.M[P]). ∀env:pEnvType(P.M[P]). ∀e:E.
(e ∈ ℕ+ × Id)
supposing Continuous+(P.M[P])
Proof
Definitions occuring in Statement :
stdEO: stdEO(n2m;l2m;env;S),
InitialSystem: InitialSystem(P.M[P]),
pEnvType: pEnvType(T.M[T]),
pMsg: pMsg(P.M[P]),
es-E: E,
Id: Id,
strong-type-continuous: Continuous+(T.F[T]),
nat_plus: ℕ+,
nat: ℕ,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
so_apply: x[s],
all: ∀x:A. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type
Lemmas :
es-E_wf,
stdEO_wf,
event-ordering+_subtype,
pMsg_wf,
rec_select_update_lemma,
nat_wf,
Id_wf,
assert_wf,
less_than_wf,
run-event-step-positive,
is-run-event_wf,
pRun_wf2
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]
\mforall{}n2m:\mBbbN{} {}\mrightarrow{} pMsg(P.M[P]). \mforall{}l2m:Id {}\mrightarrow{} pMsg(P.M[P]). \mforall{}S2:InitialSystem(P.M[P]). \mforall{}env:pEnvType(P.M[P]).
\mforall{}e:E.
(e \mmember{} \mBbbN{}\msupplus{} \mtimes{} Id)
supposing Continuous+(P.M[P])
Date html generated:
2015_07_23-AM-11_16_39
Last ObjectModification:
2015_01_28-PM-11_19_48
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