Nuprl Lemma : consensus-ts4-inning-committed-stable
∀[V:Type]
∀A:Id List. ∀W:{a:Id| (a ∈ A)} List List. ∀v:V. ∀i:ℤ.
ts-stable(consensus-ts4(V;A;W);s.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-ts4: consensus-ts4(V;A;W),
Id: Id,
l_member: (x ∈ l),
list: T List,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
set: {x:A| B[x]} ,
int: ℤ,
universe: Type,
ts-stable: ts-stable(ts;x.P[x])
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
ts-stable: ts-stable(ts;x.P[x]),
consensus-ts4: consensus-ts4(V;A;W),
ts-type: ts-type(ts),
pi1: fst(t),
ts-rel: ts-rel(ts),
pi2: snd(t),
infix_ap: x f y,
implies: P ⇒ Q,
cs-inning-committed: in state s, inning i has committed v,
exists: ∃x:A. B[x],
member: t ∈ T,
and: P ∧ Q,
prop: ℙ,
cand: A c∧ B,
so_lambda: λ2x.t[x],
so_apply: x[s],
subtype_rel: A ⊆r B,
consensus-state4: ConsensusState,
consensus-rel: CR[x,y]
Latex:
\mforall{}[V:Type]
\mforall{}A:Id List. \mforall{}W:\{a:Id| (a \mmember{} A)\} List List. \mforall{}v:V. \mforall{}i:\mBbbZ{}.
ts-stable(consensus-ts4(V;A;W);s.in state s, inning i has committed v)
Date html generated:
2016_05_16-AM-11_59_41
Last ObjectModification:
2015_12_29-PM-01_19_59
Theory : event-ordering
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