{ 
[V:Type]. [A:Id List]. [W:{a:Id| (a 
A)} List List]. [a:{a:Id| (a A)} \000C].
ts-stable-rel(consensus-ts4(V;A;W);x,y.Inning(x;a) 
Inning(y;a)) }
{ Proof }
Definitions occuring in Statement :
consensus-ts4: consensus-ts4(V;A;W),
cs-inning: Inning(s;a),
Id: Id,
uall: [x:A]. B[x],
le: A B,
set: {x:A| B[x]} ,
list: type List,
universe: Type,
l_member: (x l),
ts-stable-rel: ts-stable-rel(ts;x,y.R[x; y])
Definitions :
intensional-universe: IType,
fpf: a:A fp-> B[a],
int: 
,
spread: spread def,
pi1: fst(t),
cs-inning: Inning(s;a),
fpf-empty: 
,
consensus-state4: ConsensusState,
pair: <a, b>,
strong-subtype: strong-subtype(A;B),
exists: 
x:A. B[x],
ge: i 
j ,
uimplies: b supposing a,
product: x:A 
B[x],
and: P 
Q,
uiff: uiff(P;Q),
subtype_rel: A 
r B,
so_lambda: 
x y.t[x; y],
less_than: a < b,
ts-rel: ts-rel(ts),
rel_star: R^*,
apply: f a,
infix_ap: x f y,
consensus-ts4: consensus-ts4(V;A;W),
ts-type: ts-type(ts),
lambda: x.A[x],
void: Void,
false: False,
not: 
A,
le: A B,
implies: P 
Q,
ts-stable-rel: ts-stable-rel(ts;x,y.R[x; y]),
prop: 
,
isect: 
x:A. B[x],
all: x:A. B[x],
function: x:A 
B[x],
uall: [x:A]. B[x],
set: {x:A| B[x]} ,
l_member: (x l),
Id: Id,
list: type List,
universe: Type,
member: t T,
equal: s = t,
Auto: Error :Auto,
CollapseTHEN: Error :CollapseTHEN,
tactic: Error :tactic,
consensus-rel: CR[x,y],
rel_implies: R1 => R2,
trans: Trans(T;x,y.E[x; y]),
refl: Refl(T;x,y.E[x; y]),
IdLnk: IdLnk,
Knd: Knd,
MaName: MaName,
l_disjoint: l_disjoint(T;l1;l2),
consensus-state3: consensus-state3(T),
decidable: Dec(P),
natural_number: $n,
or: P 
Q,
union: left + right,
cs-estimate: Estimate(s;a),
add: n + m,
guard: {T},
atom: Atom,
atom: Atom$n,
sq_type: SQType(T)
Lemmas :
subtype_base_sq,
atom2_subtype_base,
decidable__equal_Id,
ts-transitive-stable,
refl_wf,
trans_wf,
not_wf,
false_wf,
rel_implies_wf,
consensus-rel_wf,
ts-type_wf,
consensus-ts4_wf,
ts-rel_wf,
le_wf,
rel_star_wf,
ts-stable-rel_wf,
Id_wf,
l_member_wf,
consensus-state4_wf,
member_wf,
cs-inning_wf,
intensional-universe_wf,
subtype_rel_wf
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[W:\{a:Id| (a \mmember{} A)\} List List]. \mforall{}[a:\{a:Id| (a \mmember{} A)\} ].
ts-stable-rel(consensus-ts4(V;A;W);x,y.Inning(x;a) \mleq{} Inning(y;a))
Date html generated:
2011_08_16-AM-09_58_11
Last ObjectModification:
2011_06_18-AM-08_57_04
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