Nuprl Lemma : pv11_p1_on_p2b_wf
pv11_p1_on_p2b() ∈ pv11_p1_Ballot_Num()
⟶ ℤ
⟶ Id
⟶ (Id × pv11_p1_Ballot_Num() × ℤ × pv11_p1_Ballot_Num())
⟶ bag(Id)
⟶ bag(Id)
Proof
Definitions occuring in Statement :
pv11_p1_on_p2b: pv11_p1_on_p2b(),
pv11_p1_Ballot_Num: pv11_p1_Ballot_Num(),
Id: Id,
member: t ∈ T,
function: x:A ⟶ B[x],
product: x:A × B[x],
int: ℤ,
bag: bag(T)
Definitions unfolded in proof :
member: t ∈ T,
pv11_p1_on_p2b: pv11_p1_on_p2b(),
spreadn: spread4,
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
band: p ∧b q,
ifthenelse: if b then t else f fi ,
uall: ∀[x:A]. B[x],
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
bfalse: ff,
exists: ∃x:A. B[x],
prop: ℙ,
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
assert: ↑b,
false: False
Latex:
pv11\_p1\_on\_p2b() \mmember{} pv11\_p1\_Ballot\_Num()
{}\mrightarrow{} \mBbbZ{}
{}\mrightarrow{} Id
{}\mrightarrow{} (Id \mtimes{} pv11\_p1\_Ballot\_Num() \mtimes{} \mBbbZ{} \mtimes{} pv11\_p1\_Ballot\_Num())
{}\mrightarrow{} bag(Id)
{}\mrightarrow{} bag(Id)
Date html generated:
2016_05_17-PM-02_53_09
Last ObjectModification:
2015_12_29-PM-11_25_52
Theory : paxos!synod
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