Nuprl Lemma : run-event-local-pred_wf
∀[M:Type ─→ Type]. ∀[r:pRunType(P.M[P])]. ∀[e:runEvents(r)]. (run-event-local-pred(r;e) ∈ runEvents(r)?)
Proof
Definitions occuring in Statement :
run-event-local-pred: run-event-local-pred(r;e),
runEvents: runEvents(r),
pRunType: pRunType(T.M[T]),
uall: ∀[x:A]. B[x],
so_apply: x[s],
unit: Unit,
member: t ∈ T,
function: x:A ─→ B[x],
union: left + right,
universe: Type
Lemmas :
null_wf3,
run-event-history_wf,
subtype_rel_list,
top_wf,
bool_wf,
uiff_transitivity,
equal-wf-T-base,
assert_wf,
list_wf,
eqtt_to_assert,
assert_of_null,
it_wf,
iff_transitivity,
bnot_wf,
not_wf,
iff_weakening_uiff,
eqff_to_assert,
assert_of_bnot,
last_wf,
unit_wf2,
runEvents_wf,
pRunType_wf
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[r:pRunType(P.M[P])]. \mforall{}[e:runEvents(r)].
(run-event-local-pred(r;e) \mmember{} runEvents(r)?)
Date html generated:
2015_07_23-AM-11_11_37
Last ObjectModification:
2015_01_29-AM-00_06_13
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