Nuprl Lemma : pv11_p1_max_bnum_dummy
∀ldrs_uid:Id ⟶ ℤ. ∀b:pv11_p1_Ballot_Num().
((pv11_p1_max_bnum(ldrs_uid) b pv11_p1_dummy_ballot()) = b ∈ pv11_p1_Ballot_Num())
Proof
Definitions occuring in Statement :
pv11_p1_max_bnum: pv11_p1_max_bnum(ldrs_uid),
pv11_p1_dummy_ballot: pv11_p1_dummy_ballot(),
pv11_p1_Ballot_Num: pv11_p1_Ballot_Num(),
Id: Id,
all: ∀x:A. B[x],
apply: f a,
function: x:A ⟶ B[x],
int: ℤ,
equal: s = t ∈ T
Definitions unfolded in proof :
pv11_p1_dummy_ballot: pv11_p1_dummy_ballot(),
pv11_p1_max_bnum: pv11_p1_max_bnum(ldrs_uid),
pv11_p1_Ballot_Num: pv11_p1_Ballot_Num(),
all: ∀x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x],
subtype_rel: A ⊆r B,
uimplies: b supposing a,
implies: P ⇒ Q,
exposed-bfalse: exposed-bfalse,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
bfalse: ff,
uiff: uiff(P;Q),
and: P ∧ Q,
ifthenelse: if b then t else f fi ,
false: False,
assert: ↑b,
pv11_p1_leq_bnum: pv11_p1_leq_bnum(ldrs_uid),
exposed-it: exposed-it
Latex:
\mforall{}ldrs$_{uid}$:Id {}\mrightarrow{} \mBbbZ{}. \mforall{}b:pv11\_p1\_Ballot\_Num().
((pv11\_p1\_max\_bnum(ldrs$_{uid}$) b pv11\_p1\_dummy\_ballot()) = b)
Date html generated:
2016_05_17-PM-03_15_54
Last ObjectModification:
2015_12_29-PM-11_21_42
Theory : paxos!synod
Home
Index