Nuprl Lemma : cs-archived_wf
∀[V:Type]. ∀[A:Id List]. ∀[s:ConsensusState]. ∀[a:{a:Id| (a ∈ A)} ]. ∀[i:ℤ]. ∀[v:V].
(by state s, a archived v in inning i ∈ ℙ)
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,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
set: {x:A| B[x]} ,
int: ℤ,
universe: Type
Definitions unfolded in proof :
cs-archived: by state s, a archived v in inning i,
uall: ∀[x:A]. B[x],
member: t ∈ T,
prop: ℙ,
and: P ∧ Q,
subtype_rel: A ⊆r B,
uimplies: b supposing a,
top: Top,
so_lambda: λ2x.t[x],
so_apply: x[s],
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
fpf-domain: fpf-domain(f)
Latex:
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[s:ConsensusState]. \mforall{}[a:\{a:Id| (a \mmember{} A)\} ]. \mforall{}[i:\mBbbZ{}]. \mforall{}[v:V].
(by state s, a archived v in inning i \mmember{} \mBbbP{})
Date html generated:
2016_05_16-AM-11_57_50
Last ObjectModification:
2015_12_29-PM-01_19_18
Theory : event-ordering
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