Nuprl Lemma : decidable__cs-inning-committed
∀[V:Type]
((∀v,v':V. Dec(v = v' ∈ V))
⇒ (∀A:Id List. ∀W:{a:Id| (a ∈ A)} List List. ∀s:ConsensusState. ∀i:ℤ. ∀v:V.
Dec(in state s, inning i has committed v)))
Proof
Definitions occuring in Statement :
cs-inning-committed: in state s, inning i has committed v,
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 :
decidable_functionality,
exists_wf,
l_member_wf,
all_wf,
cs-archived_wf,
l_exists_wf,
l_exists_iff,
decidable__l_exists_better-extract,
decidable__all-list,
decidable__equal_Id,
decidable__implies,
decidable__l_member,
decidable__equal_set,
set_wf,
decidable__cs-archived,
consensus-state4_wf,
list_wf,
Id_wf,
decidable_wf,
equal_wf
\mforall{}[V:Type]
((\mforall{}v,v':V. Dec(v = v'))
{}\mRightarrow{} (\mforall{}A:Id List. \mforall{}W:\{a:Id| (a \mmember{} A)\} List List. \mforall{}s:ConsensusState. \mforall{}i:\mBbbZ{}. \mforall{}v:V.
Dec(in state s, inning i has committed v)))
Date html generated:
2015_07_17-AM-11_28_06
Last ObjectModification:
2015_01_28-AM-01_36_04
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