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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
all: ∀x:A. B[x],
so_lambda: λ2x.t[x],
so_apply: x[s],
subtype_rel: A ⊆r B,
prop: ℙ,
es-E: E,
es-base-E: es-base-E(es),
stdEO: stdEO(n2m;l2m;env;S),
runEO: runEO(n2m;l2m;env;S),
run-eo: EO(r),
mk-extended-eo: mk-extended-eo,
top: Top,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
bfalse: ff,
mk-eo: mk-eo(E;dom;l;R;locless;pred;rank),
mk-eo-record: mk-eo-record(E;dom;l;R;locless;pred;rank),
btrue: tt,
runEvents: runEvents(r),
pi1: fst(t),
pi2: snd(t),
InitialSystem: InitialSystem(P.M[P]),
run-event-step: run-event-step(e),
nat_plus: ℕ+,
nat: ℕ
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:
2016_05_17-AM-10_53_45
Last ObjectModification:
2015_12_29-PM-05_20_34
Theory : process-model
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