Nuprl Lemma : run-event-interval_wf
∀[M:Type ─→ Type]. ∀[r:pRunType(P.M[P])]. ∀[e1,e2:runEvents(r)]. (run-event-interval(r;e1;e2) ∈ runEvents(r) List)
Proof
Definitions occuring in Statement :
run-event-interval: run-event-interval(r;e1;e2),
runEvents: runEvents(r),
pRunType: pRunType(T.M[T]),
list: T List,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
mapfilter_wf,
le_wf,
run-event-step_wf,
nat_wf,
less_than_wf,
from-upto_wf,
is-run-event_wf,
zero-le-nat,
run-event-loc_wf,
assert_wf,
subtype_rel_sets,
set_wf,
runEvents_wf,
pRunType_wf
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[r:pRunType(P.M[P])]. \mforall{}[e1,e2:runEvents(r)].
(run-event-interval(r;e1;e2) \mmember{} runEvents(r) List)
Date html generated:
2015_07_23-AM-11_11_27
Last ObjectModification:
2015_01_29-AM-00_07_36
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