Nuprl Lemma : decidable__archive-condition
∀[V:Type]
(V
⇒ (∀A:Id List. ∀t:ℕ+. ∀f:(V List) ─→ V. ∀L:consensus-rcv(V;A) List.
Dec(∃n:ℕ. ∃v:V. archive-condition(V;A;t;f;n;v;L))))
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_plus: ℕ+,
nat: ℕ,
decidable: Dec(P),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
exists: ∃x:A. B[x],
implies: P ⇒ Q,
function: x:A ─→ B[x],
universe: Type
Lemmas :
archive-condition-threshold-accum,
list_accum_wf,
bool_wf,
list_wf,
l_member_wf,
bfalse_wf,
nil_wf,
consensus-accum-num_wf,
all_wf,
nat_wf,
iff_wf,
archive-condition_wf,
nat_plus_subtype_nat,
assert_wf,
equal-wf-T-base,
int_subtype_base,
consensus-rcv_wf,
nat_plus_wf,
Id_wf,
exists_wf,
decidable_functionality,
consensus-accum-num-property1,
filter_wf5,
rcvd-inning-gt_wf,
subtract_wf,
length_wf,
length_of_nil_lemma,
zip_wf,
votes-from-inning_wf,
le_wf,
not_wf,
null_wf3,
subtype_rel_list,
top_wf,
values-for-distinct_wf,
id-deq_wf,
subtype_rel-deq,
sq_stable__l_member,
decidable__equal_Id,
equal_wf,
set_wf,
less_than_wf,
list-cases,
null_nil_lemma,
list_accum_nil_lemma,
product_subtype_list,
null_cons_lemma,
list_accum_cons_lemma,
false_wf,
eqtt_to_assert,
decidable__le,
not-le-2,
condition-implies-le,
minus-one-mul,
zero-add,
minus-add,
minus-minus,
add-associates,
add-swap,
add-commutes,
add_functionality_wrt_le,
le-add-cancel,
true_wf,
equal-wf-base,
eqff_to_assert,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot
\mforall{}[V:Type]
(V
{}\mRightarrow{} (\mforall{}A:Id List. \mforall{}t:\mBbbN{}\msupplus{}. \mforall{}f:(V List) {}\mrightarrow{} V. \mforall{}L:consensus-rcv(V;A) List.
Dec(\mexists{}n:\mBbbN{}. \mexists{}v:V. archive-condition(V;A;t;f;n;v;L))))
Date html generated:
2015_07_17-AM-11_52_06
Last ObjectModification:
2015_01_28-AM-00_42_03
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