Nuprl Lemma : pv11_p1_on_p2a_wf
∀[Cmd:ValueAllType]. ∀[ldrs_uid:Id ─→ ℤ].
(pv11_p1_on_p2a(Cmd;ldrs_uid) ∈ Id
─→ (Id × pv11_p1_Ballot_Num() × ℤ × Cmd)
─→ (pv11_p1_Ballot_Num() × ((pv11_p1_Ballot_Num() × ℤ × Cmd) List))
─→ (pv11_p1_Ballot_Num() × ((pv11_p1_Ballot_Num() × ℤ × Cmd) List)))
Proof
Definitions occuring in Statement :
pv11_p1_on_p2a: pv11_p1_on_p2a(Cmd;ldrs_uid),
pv11_p1_Ballot_Num: pv11_p1_Ballot_Num(),
Id: Id,
list: T List,
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
int: ℤ
Lemmas :
let_wf,
pv11_p1_Ballot_Num_wf,
list_wf,
pv11_p1_leq_bnum_wf,
bool_wf,
eqtt_to_assert,
pv11_p1_add_if_new_wf,
pv11_p1_same_pvalue_wf,
pv11_p1_max_bnum_wf,
Id_wf,
set_wf,
valueall-type_wf
Latex:
\mforall{}[Cmd:ValueAllType]. \mforall{}[ldrs$_{uid}$:Id {}\mrightarrow{} \mBbbZ{}].
(pv11\_p1\_on\_p2a(Cmd;ldrs$_{uid}$) \mmember{} Id
{}\mrightarrow{} (Id \mtimes{} pv11\_p1\_Ballot\_Num() \mtimes{} \mBbbZ{} \mtimes{} Cmd)
{}\mrightarrow{} (pv11\_p1\_Ballot\_Num() \mtimes{} ((pv11\_p1\_Ballot\_Num() \mtimes{} \mBbbZ{} \mtimes{} Cmd) List))
{}\mrightarrow{} (pv11\_p1\_Ballot\_Num() \mtimes{} ((pv11\_p1\_Ballot\_Num() \mtimes{} \mBbbZ{} \mtimes{} Cmd) List)))
Date html generated:
2015_07_23-PM-04_12_50
Last ObjectModification:
2015_01_29-PM-04_12_19
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