Nuprl Lemma : stdEO-causal
∀[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].
run-event-step(e1) < run-event-step(e2) supposing (e1 < 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),
pEnvType: pEnvType(T.M[T]),
pMsg: pMsg(P.M[P]),
es-causl: (e < 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],
function: x:A ─→ B[x],
universe: Type
Lemmas :
event_ordering_axioms,
stdEO_wf,
event-ordering+_subtype,
pMsg_wf,
rec_select_update_lemma
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].
run-event-step(e1) < run-event-step(e2) supposing (e1 < e2)
supposing Continuous+(P.M[P])
Date html generated:
2015_07_23-AM-11_16_19
Last ObjectModification:
2015_01_28-PM-11_19_04
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