Nuprl Lemma : pv11_p1_leader_preempted_wf
∀[Cmd:ValueAllType]. ∀[ldrs_uid:Id ─→ ℤ].
(pv11_p1_leader_preempted(Cmd;ldrs_uid) ∈ Id
─→ pv11_p1_Ballot_Num()
─→ (pv11_p1_Ballot_Num() × 𝔹 × ((ℤ × Cmd) List))
─→ bag(pv11_p1_Ballot_Num()))
Proof
Definitions occuring in Statement :
pv11_p1_leader_preempted: pv11_p1_leader_preempted(Cmd;ldrs_uid),
pv11_p1_Ballot_Num: pv11_p1_Ballot_Num(),
Id: Id,
list: T List,
vatype: ValueAllType,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
int: ℤ,
bag: bag(T)
Lemmas :
pv11_p1_is_bnum_wf,
bool_wf,
eqtt_to_assert,
pv11_p1_lt_bnum_wf,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
single-bag_wf,
pv11_p1_Ballot_Num_wf,
pv11_p1_upd_bnum_wf,
eqff_to_assert,
assert-bnot,
assert_of_band,
assert_wf,
empty-bag_wf,
list_wf,
Id_wf,
set_wf,
valueall-type_wf
Latex:
\mforall{}[Cmd:ValueAllType]. \mforall{}[ldrs$_{uid}$:Id {}\mrightarrow{} \mBbbZ{}].
(pv11\_p1\_leader\_preempted(Cmd;ldrs$_{uid}$) \mmember{} Id
{}\mrightarrow{} pv11\_p1\_Ballot\_Num()
{}\mrightarrow{} (pv11\_p1\_Ballot\_Num() \mtimes{} \mBbbB{} \mtimes{} ((\mBbbZ{} \mtimes{} Cmd) List))
{}\mrightarrow{} bag(pv11\_p1\_Ballot\_Num()))
Date html generated:
2015_07_23-PM-04_33_41
Last ObjectModification:
2015_01_29-PM-04_38_42
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