{ 
[Info,A,B,C:Type]. [F:Id 
bag(A) bag(B) bag(C) bag(C)].
[X:EClass(A)]. [Y:EClass(B)].
(l,x,y,s.F[l;x;y;s]|Loc,X,Y,Prior(self)| 
EClass(C)) }
{ Proof }
Definitions occuring in Statement :
rec-combined-loc-class2: l,x,y,s.F[l; x; y; s]|Loc,X,Y,Prior(self)|,
eclass: EClass(A[eo; e]),
Id: Id,
uall: [x:A]. B[x],
so_apply: x[s1;s2;s3;s4],
member: t T,
function: x:A B[x],
universe: Type,
bag: bag(T)
Definitions :
CollapseTHENA: Error :CollapseTHENA,
natural_number: $n,
lambda: 
x.A[x],
select: l[i],
cons: [car / cdr],
nil: [],
BHyp: Error :BHyp,
CollapseTHEN: Error :CollapseTHEN,
MaAuto: Error :MaAuto,
member: t T,
isect: 
x:A. B[x],
Id: Id,
bag: bag(T),
function: x:A B[x],
uall: [x:A]. B[x],
universe: Type,
equal: s = t,
eclass: EClass(A[eo; e]),
so_lambda: 
x y.t[x; y],
rec-combined-loc-class2: l,x,y,s.F[l; x; y; s]|Loc,X,Y,Prior(self)|,
so_apply: x[s1;s2;s3;s4],
apply: f a,
axiom: Ax,
all: x:A. B[x],
event-ordering+: EO+(Info),
es-E: E,
event_ordering: EO,
record+: record+,
dep-isect: Error :dep-isect,
record-select: r.x,
ifthenelse: if b then t else f fi ,
eq_atom: x =a y,
token: "$token",
es-base-E: es-base-E(es),
top: Top,
atom: Atom,
eq_atom: eq_atom$n(x;y),
subtype_rel: A 
r B,
subtype: S T,
bool: 
,
rec-combined-loc-class: f|Loc, X, Prior(self)|,
uimplies: b supposing a,
fpf: a:A fp-> B[a],
uiff: uiff(P;Q),
and: P 
Q,
product: x:A 
B[x],
less_than: a < b,
not: 
A,
ge: i 
j ,
le: A 
B,
strong-subtype: strong-subtype(A;B),
int: 
,
nat: 
,
rationals: 
,
real: 
,
set: {x:A| B[x]} ,
false: False,
implies: P 
Q,
void: Void,
prop: 
,
p-outcome: Outcome,
int_seg: {i..j
},
list: type List,
length: ||as||,
label: ...$L... t,
lelt: i j < k,
es-E-interface: E(X),
assert: 
b,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
hd: hd(l),
tl: tl(l),
list_ind: list_ind def,
decidable: Dec(P),
same-thread: same-thread(es;p;e;e'),
es-r-immediate-pred: es-r-immediate-pred(es;R;e';e),
exists: 
x:A. B[x],
es-fset-loc: i locs(s),
existse-between3: e(e1,e2].P[e],
existse-between2: e[e1,e2].P[e],
alle-between2: e[e1,e2].P[e],
existse-between1: e[e1,e2).P[e],
alle-between1: e[e1,e2).P[e],
alle-le: ee'.P[e],
alle-lt: e<e'.P[e],
existse-le: ee'.P[e],
existse-before: e<e'.P[e],
es-causle: e c e',
es-le: e loc e' ,
es-locl: (e <loc e'),
es-causl: (e < e'),
infix_ap: x f y,
consensus-rcv: consensus-rcv(V;A),
cs-precondition: state s may consider v in inning i,
cs-archive-blocked: in state s, ws' blocks ws from archiving v in inning i,
cs-inning-committable: in state s, inning i could commit v ,
cs-inning-committed: in state s, inning i has committed v,
cs-passed: by state s, a passed inning i without archiving a value,
cs-archived: by state s, a archived v in inning i,
cs-not-completed: in state s, a has not completed inning i,
consensus-state3: consensus-state3(T),
l_disjoint: l_disjoint(T;l1;l2),
MaName: MaName,
Knd: Knd,
IdLnk: IdLnk,
fset-closed: (s closed under fs),
fset: FSet{T},
f-subset: xs ys,
fset-member: a s,
dstype: dstype(TypeNames; d; a),
i-closed: i-closed(I),
i-finite: i-finite(I),
atom: Atom$n,
sq_exists: x:{A| B[x]},
q-rel: q-rel(r;x),
qless: r < s,
qle: r s,
limited-type: LimitedType,
fun-connected: y is f*(x),
l_all: (xL.P[x]),
l_exists: (xL. P[x]),
squash: 
T,
prime: prime(a),
reducible: reducible(a),
inject: Inj(A;B;f),
cmp-le: cmp-le(cmp;x;y),
l_contains: A B,
nat_plus: 
,
or: P 
Q,
union: left + right,
sq_type: SQType(T),
guard: {T},
l_member: (x l),
locl: locl(a),
append: as @ bs,
so_apply: x[s],
pair: <a, b>,
quotient: x,y:A//B[x; y]
Lemmas :
int_subtype_base,
subtype_base_sq,
decidable__equal_int,
subtype_rel_wf,
es-interface-subtype_rel2,
es-interface-top,
int_seg_properties,
top_wf,
length_wf1,
non_neg_length,
length_cons,
length_nil,
length_wf_nat,
select_wf,
int_seg_wf,
nat_wf,
false_wf,
not_wf,
le_wf,
rec-combined-loc-class_wf,
member_wf,
Id_wf,
bag_wf,
eclass_wf,
event-ordering+_wf,
es-E_wf,
es-base-E_wf,
subtype_rel_self,
event-ordering+_inc
\mforall{}[Info,A,B,C:Type]. \mforall{}[F:Id {}\mrightarrow{} bag(A) {}\mrightarrow{} bag(B) {}\mrightarrow{} bag(C) {}\mrightarrow{} bag(C)]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)].
(l,x,y,s.F[l;x;y;s]|Loc,X,Y,Prior(self)| \mmember{} EClass(C))
Date html generated:
2011_08_16-PM-04_53_03
Last ObjectModification:
2011_06_21-PM-02_27_45
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