Nuprl Lemma : run-event-step-positive
∀[M:Type ─→ Type]
∀[S0:System(P.M[P])]. ∀[n2m:ℕ ─→ pMsg(P.M[P])]. ∀[l2m:Id ─→ pMsg(P.M[P])]. ∀[env:pEnvType(P.M[P])].
∀[e:runEvents(pRun(S0;env;n2m;l2m))].
0 < run-event-step(e)
supposing Continuous+(P.M[P])
Proof
Definitions occuring in Statement :
run-event-step: run-event-step(e),
runEvents: runEvents(r),
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],
function: x:A ─→ B[x],
natural_number: $n,
universe: Type
Lemmas :
run-event-step_wf,
runEvents_wf,
fulpRunType-subtype,
subtype_base_sq,
pRunType_wf,
fulpRunType_wf,
pRun_wf,
pEnvType_wf,
pMsg_wf,
Id_wf,
nat_wf,
System_wf,
strong-type-continuous_wf,
bool_cases,
bool_wf,
bool_subtype_base,
eqtt_to_assert,
assert_of_eq_int,
eqff_to_assert,
not_wf,
assert_wf,
iff_transitivity,
iff_weakening_uiff,
assert_of_bnot,
eq_int_wf,
bnot_wf,
equal-wf-base,
equal-wf-base-T,
equal-wf-T-base
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]
\mforall{}[S0:System(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{}[e:runEvents(pRun(S0;env;n2m;l2m))].
0 < run-event-step(e)
supposing Continuous+(P.M[P])
Date html generated:
2015_07_23-AM-11_11_23
Last ObjectModification:
2015_01_29-AM-00_07_13
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