Nuprl Lemma : pv11_p1_pmax_wf
∀[Cmd:ValueAllType]. ∀[ldrs_uid:Id ⟶ ℤ].
(pv11_p1_pmax(Cmd;ldrs_uid) ∈ ((pv11_p1_Ballot_Num() × ℤ × Cmd) List) ⟶ ((ℤ × Cmd) List))
Proof
Definitions occuring in Statement :
pv11_p1_pmax: pv11_p1_pmax(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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
pv11_p1_pmax: pv11_p1_pmax(Cmd;ldrs_uid),
vatype: ValueAllType,
all: ∀x:A. B[x],
implies: P ⇒ Q,
let: let,
so_lambda: λ2x.t[x],
prop: ℙ,
so_apply: x[s]
Latex:
\mforall{}[Cmd:ValueAllType]. \mforall{}[ldrs$_{uid}$:Id {}\mrightarrow{} \mBbbZ{}].
(pv11\_p1\_pmax(Cmd;ldrs$_{uid}$) \mmember{} ((pv11\_p1\_Ballot\_Num() \mtimes{} \mBbbZ{} \mtimes{} Cmd) List) {}\mrightarrow{} (\000C(\mBbbZ{} \mtimes{} Cmd) List))
Date html generated:
2016_05_17-PM-03_12_20
Last ObjectModification:
2015_12_29-PM-11_22_47
Theory : paxos!synod
Home
Index