{ 
[V:Type]
A:Id List. W:{a:Id| (a 
A)} List List. a:{a:Id| (a A)} . i:
. 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,
uall: [x:A]. B[x],
all: x:A. B[x],
set: {x:A| B[x]} ,
list: type List,
int: ,
universe: Type,
l_member: (x l),
ts-stable: ts-stable(ts;x.P[x])
Definitions :
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),
implies: P 
Q,
infix_ap: x f y,
ts-rel: ts-rel(ts),
pi1: fst(t),
pi2: snd(t),
member: t T,
cs-archived: by state s, a archived v in inning i,
Id: Id,
and: P 
Q,
so_lambda: 
x.t[x],
prop: 
,
cand: A c B,
or: P 
Q,
top: Top,
true: True,
consensus-state4: ConsensusState,
ifthenelse: if b then t else f fi ,
btrue: tt,
bfalse: ff,
squash: 
T,
so_apply: x[s],
consensus-rel: CR[x,y],
exists: 
x:A. B[x],
decidable: Dec(P),
sq_type: SQType(T),
uimplies: b supposing a,
guard: {T},
iff: P 
Q,
rev_implies: P Q,
uiff: uiff(P;Q),
bool: 
,
unit: Unit,
not: 
A,
false: False,
fpf-domain: fpf-domain(f),
it: 
Lemmas :
consensus-rel_wf,
cs-archived_wf,
consensus-state4_wf,
ts-type_wf,
consensus-ts4_wf,
Id_wf,
l_member_wf,
decidable__equal_Id,
subtype_base_sq,
atom2_subtype_base,
fpf_wf,
fpf-domain_wf,
fpf-ap_wf,
member-fpf-dom,
fpf-domain-join,
cs-estimate_wf,
subtype-fpf2,
top_wf,
subtype-top,
fpf-single_wf,
cs-inning_wf,
int-deq_wf,
fpf-join-ap-sq,
fpf-dom_wf,
subtype_rel_function,
subtype_rel_self,
subtype_rel_simple_product,
bool_wf,
assert_wf,
not_wf,
bnot_wf,
iff_weakening_uiff,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
squash_wf,
true_wf,
fpf-trivial-subtype-top,
deq_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:
2011_08_16-AM-09_59_34
Last ObjectModification:
2011_06_18-AM-08_57_47
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