{ 
[V:Type]. [A:Id List]. [W:{a:Id| (a 
A)} List List].
[x1,y1:ConsensusState]. [x2,y2:Knowledge(ConsensusState)]. [a:{a:Id|
(a A)} ].
(consensus-rel-knowledge-archive-step(V;A;W;x1;x2;y1;y2;a) 
) }
{ Proof }
Definitions occuring in Statement :
consensus-rel-knowledge-archive-step: consensus-rel-knowledge-archive-step(V;A;W;x1;x2;y1;y2;a),
consensus-state5: Knowledge(ConsensusState),
consensus-state4: ConsensusState,
Id: Id,
uall: [x:A]. B[x],
prop: ,
member: t T,
set: {x:A| B[x]} ,
list: type List,
universe: Type,
l_member: (x l)
Definitions :
deq: EqDecider(T),
true: True,
filter: filter(P;l),
natural_number: $n,
void: Void,
real: 
,
grp_car: |g|,
subtype: S 
T,
select: l[i],
length: ||as||,
nat: 
,
false: False,
intensional-universe: IType,
fpf-cap: f(x)?z,
guard: {T},
implies: P 
Q,
sq_type: SQType(T),
pair: <a, b>,
bool: 
,
fpf-single: x : v,
int-deq: IntDeq,
fpf-join: f 
g,
cs-knowledge-precondition: may consider v in inning i based on knowledge (s),
cs-estimate: Estimate(s;a),
fpf-domain: fpf-domain(f),
lambda: 
x.A[x],
so_lambda: 
x.t[x],
cs-knowledge: Knowledge(x;a),
top: Top,
union: left + right,
cs-inning: Inning(s;a),
cand: A c
B,
int: 
,
fpf: a:A fp-> B[a],
strong-subtype: strong-subtype(A;B),
exists: 
x:A. B[x],
le: A 
B,
ge: i 
j ,
not: 
A,
less_than: a < b,
uimplies: b supposing a,
product: x:A 
B[x],
and: P Q,
uiff: uiff(P;Q),
subtype_rel: A r B,
function: x:A 
B[x],
all: x:A. B[x],
axiom: Ax,
consensus-rel-knowledge-archive-step: consensus-rel-knowledge-archive-step(V;A;W;x1;x2;y1;y2;a),
prop: ,
consensus-state5: Knowledge(ConsensusState),
universe: Type,
equal: s = t,
set: {x:A| B[x]} ,
l_member: (x l),
Id: Id,
list: type List,
uall: [x:A]. B[x],
isect: 
x:A. B[x],
member: t T,
consensus-state4: ConsensusState,
CollapseTHEN: Error :CollapseTHEN,
Try: Error :Try,
MaAuto: Error :MaAuto,
RepeatFor: Error :RepeatFor,
RepUR: Error :RepUR,
Auto: Error :Auto,
tactic: Error :tactic
Lemmas :
cs-inning_wf,
member_wf,
consensus-state4_wf,
top_wf,
cs-estimate_wf,
fpf-domain_wf,
l_member_wf,
not_wf,
cs-knowledge_wf,
Id_wf,
fpf_wf,
consensus-state5_wf,
subtype_rel_wf,
cs-knowledge-precondition_wf,
fpf-join_wf,
fpf-single_wf,
int-deq_wf,
intensional-universe_wf,
false_wf,
nat_wf,
fpf-domain_wf2,
length_wf1,
select_wf,
list-subtype,
fpf-type,
subtype-fpf2,
subtype-top
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[W:\{a:Id| (a \mmember{} A)\} List List]. \mforall{}[x1,y1:ConsensusState].
\mforall{}[x2,y2:Knowledge(ConsensusState)]. \mforall{}[a:\{a:Id| (a \mmember{} A)\} ].
(consensus-rel-knowledge-archive-step(V;A;W;x1;x2;y1;y2;a) \mmember{} \mBbbP{})
Date html generated:
2011_08_16-AM-10_07_47
Last ObjectModification:
2010_12_15-PM-09_59_26
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