Nuprl Lemma : consensus-ts4-archived-stable
∀[V:Type]
∀A:Id List. ∀W:{a:Id| (a ∈ A)} List List. ∀a:{a:Id| (a ∈ A)} . ∀i:ℤ. ∀v:V.
ts-stable(consensus-ts4(V;A;W);s.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-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])
Lemmas :
decidable__equal_Id,
member-fpf-dom,
int-deq_wf,
fpf-ap_wf,
top_wf,
subtype-fpf2,
fpf-domain_wf,
l_member_wf,
fpf_wf,
equal_wf,
atom2_subtype_base,
Id_wf,
subtype_base_sq,
cs-inning_wf,
fpf-single_wf,
consensus-state4-subtype,
cs-estimate_wf,
fpf-domain-join,
fpf-join-ap-sq,
assert_of_bnot,
eqff_to_assert,
uiff_transitivity,
eqtt_to_assert,
not_wf,
bnot_wf,
assert_wf,
equal-wf-T-base,
bool_wf,
fpf-dom_wf,
list_wf,
true_wf,
squash_wf
\mforall{}[V:Type]
\mforall{}A:Id List. \mforall{}W:\{a:Id| (a \mmember{} A)\} List List. \mforall{}a:\{a:Id| (a \mmember{} A)\} . \mforall{}i:\mBbbZ{}. \mforall{}v:V.
ts-stable(consensus-ts4(V;A;W);s.by state s, a archived v in inning i)
Date html generated:
2015_07_17-AM-11_27_45
Last ObjectModification:
2015_07_16-AM-09_50_49
Home
Index