Nuprl Lemma : archive-condition_wf
∀[V:Type]. ∀[A:Id List]. ∀[t:ℕ]. ∀[f:(V List) ─→ V]. ∀[L:consensus-rcv(V;A) List]. ∀[n:ℤ]. ∀[v:V].
(archive-condition(V;A;t;f;n;v;L) ∈ ℙ)
Proof
Definitions occuring in Statement :
archive-condition: archive-condition(V;A;t;f;n;v;L)
,
consensus-rcv: consensus-rcv(V;A)
,
Id: Id
,
list: T List
,
nat: ℕ
,
uall: ∀[x:A]. B[x]
,
prop: ℙ
,
member: t ∈ T
,
function: x:A ─→ B[x]
,
int: ℤ
,
universe: Type
Lemmas :
exists_wf,
list_wf,
consensus-rcv_wf,
append_wf,
cons_wf,
nil_wf,
length_wf,
length-append,
or_wf,
equal-wf-T-base,
length_of_nil_lemma,
cs-initial-rcv_wf,
equal-wf-base,
int_subtype_base,
le_wf,
Id_wf,
l_member_wf,
equal_wf,
cs-rcv-vote_wf,
less_than_wf,
values-for-distinct_wf,
id-deq_wf,
subtype_rel-deq,
sq_stable__l_member,
decidable__equal_Id,
set_wf,
votes-from-inning_wf,
subtract_wf,
assert_wf,
null_wf3,
filter_wf5,
rcvd-inning-gt_wf,
subtype_rel_list,
top_wf,
nat_wf
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[t:\mBbbN{}]. \mforall{}[f:(V List) {}\mrightarrow{} V]. \mforall{}[L:consensus-rcv(V;A) List]. \mforall{}[n:\mBbbZ{}]. \mforall{}[v:V].
(archive-condition(V;A;t;f;n;v;L) \mmember{} \mBbbP{})
Date html generated:
2015_07_17-AM-11_48_19
Last ObjectModification:
2015_01_28-AM-00_45_27
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