Nuprl Lemma : decidable__cs-archived
∀[V:Type]
∀A:Id List. ∀s:ConsensusState. ∀a:{a:Id| (a ∈ A)} . ∀i:ℤ. ∀v:V.
((∀v,v':V. Dec(v = v' ∈ V)) ⇒ Dec(by state s, a archived v in inning i))
Proof
Definitions occuring in Statement :
cs-archived: by state s, a archived v in inning i,
consensus-state4: ConsensusState,
Id: Id,
l_member: (x ∈ l),
list: T List,
decidable: Dec(P),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
set: {x:A| B[x]} ,
int: ℤ,
universe: Type,
equal: s = t ∈ T
Lemmas :
all_wf,
decidable_wf,
equal_wf,
set_wf,
Id_wf,
l_member_wf,
consensus-state4_wf,
list_wf,
decidable__cand,
fpf-domain_wf,
cs-estimate_wf,
top_wf,
consensus-state4-subtype,
fpf-ap_wf,
int-deq_wf,
member-fpf-dom,
decidable__l_member,
decidable__equal_int
\mforall{}[V:Type]
\mforall{}A:Id List. \mforall{}s:ConsensusState. \mforall{}a:\{a:Id| (a \mmember{} A)\} . \mforall{}i:\mBbbZ{}. \mforall{}v:V.
((\mforall{}v,v':V. Dec(v = v')) {}\mRightarrow{} Dec(by state s, a archived v in inning i))
Date html generated:
2015_07_17-AM-11_27_17
Last ObjectModification:
2015_01_28-AM-01_37_09
Home
Index