Nuprl Lemma : run-prior-state_wf
∀[M:Type ─→ Type]. ∀[S0:System(P.M[P])]. ∀[r:fulpRunType(P.M[P])]. ∀[e:ℕ × Id].
(run-prior-state(S0;r;e) ∈ Process(P.M[P]) List)
Proof
Definitions occuring in Statement :
run-prior-state: run-prior-state(S0;r;e),
fulpRunType: fulpRunType(T.M[T]),
System: System(P.M[P]),
Process: Process(P.M[P]),
Id: Id,
list: T List,
nat: ℕ,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type
Lemmas :
fulpRunType-subtype,
mapfilter_wf,
le_wf,
less_than_wf,
from-upto_wf,
is-run-event_wf,
assert_wf,
subtype_rel_sets,
set_wf,
list_wf,
eq_id_wf,
component_wf,
null_wf3,
subtype_rel_list,
top_wf,
bool_wf,
eqtt_to_assert,
assert_of_null,
Process_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
equal-wf-T-base,
nat_wf,
Id_wf,
fulpRunType_wf,
System_wf,
last_wf,
not_wf,
pMsg_wf,
unit_wf2
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[S0:System(P.M[P])]. \mforall{}[r:fulpRunType(P.M[P])]. \mforall{}[e:\mBbbN{} \mtimes{} Id].
(run-prior-state(S0;r;e) \mmember{} Process(P.M[P]) List)
Date html generated:
2015_07_23-AM-11_11_43
Last ObjectModification:
2015_01_29-AM-00_08_11
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