Nuprl Lemma : pi2-consensus-rcvs-to-consensus-events
∀[V:Type]. ∀[A:Id List]. ∀[t:ℕ+]. ∀[f:(V List) ─→ V]. ∀[v0:V]. ∀[L:consensus-rcv(V;A) List].
((snd(consensus-rcvs-to-consensus-events(f;t;v0;L))) = L ∈ (consensus-rcv(V;A) List))
Proof
Definitions occuring in Statement :
consensus-rcvs-to-consensus-events: consensus-rcvs-to-consensus-events(f;t;v0;L),
consensus-rcv: consensus-rcv(V;A),
Id: Id,
list: T List,
nat_plus: ℕ+,
uall: ∀[x:A]. B[x],
pi2: snd(t),
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
last_induction,
equal_wf,
consensus-rcvs-to-consensus-events_wf,
list_wf,
consensus-event_wf,
nil_wf,
list_accum_append,
subtype_rel_list,
top_wf,
list_accum_wf,
bool_wf,
l_member_wf,
append_wf,
cons_wf,
bfalse_wf,
consensus-accum-num_wf,
rcv-vote?_wf,
eqtt_to_assert,
rcvd-vote_wf,
nat_wf,
consensus-message_wf,
decidable__le,
false_wf,
not-le-2,
sq_stable__le,
condition-implies-le,
minus-add,
minus-one-mul,
zero-add,
add-associates,
add-swap,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
le_wf,
decidable__lt,
add-mul-special,
zero-mul,
lelt_wf,
unit_wf2,
eqff_to_assert,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
set_wf,
Id_wf,
list-cases,
null_nil_lemma,
archive-event_wf,
inning-event_wf,
product_subtype_list,
null_cons_lemma,
map_wf,
int_seg_wf,
subtract_wf,
length_wf,
filter_wf5,
is-inning-event_wf,
upto_wf,
list_accum_cons_lemma,
list_accum_nil_lemma,
consensus-rcv_wf,
nat_plus_wf,
and_wf
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[t:\mBbbN{}\msupplus{}]. \mforall{}[f:(V List) {}\mrightarrow{} V]. \mforall{}[v0:V]. \mforall{}[L:consensus-rcv(V;A) List].
((snd(consensus-rcvs-to-consensus-events(f;t;v0;L))) = L)
Date html generated:
2015_07_17-AM-11_54_42
Last ObjectModification:
2015_01_28-AM-00_44_33
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