{ 
[Info:Type]. [n:
]. [A:n 
Type]. [X:i:n EClass(A i)]. [T:Type].
[f:Id i:n bag(A i) bag(T) bag(T)].
(f|Loc, X, Prior(self)| 
EClass(T)) }
{ Proof }
Definitions occuring in Statement :
rec-combined-loc-class: f|Loc, X, Prior(self)|,
eclass: EClass(A[eo; e]),
Id: Id,
int_seg: {i..j
},
nat: ,
uall: [x:A]. B[x],
member: t T,
apply: f a,
function: x:A B[x],
natural_number: $n,
universe: Type,
bag: bag(T)
Definitions :
es-local-pred: last(P),
true: True,
squash: 
T,
es-causl: (e < e'),
limited-type: LimitedType,
minus: -n,
add: n + m,
subtract: n - m,
prop: 
,
exists: 
x:A. B[x],
strongwellfounded: SWellFounded(R[x; y]),
record-select: r.x,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
ifthenelse: if b then t else f fi ,
assert: 
b,
primed-class: Prior(X),
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
dep-isect: Error :dep-isect,
record+: record+,
void: Void,
es-loc: loc(e),
ycomb: Y,
event_ordering: EO,
es-E: E,
event-ordering+: EO+(Info),
lambda: 
x.A[x],
real: 
,
grp_car: |g|,
subtype: S 
T,
natural_number: $n,
fpf: a:A fp-> B[a],
strong-subtype: strong-subtype(A;B),
ge: i 
j ,
less_than: a < b,
uimplies: b supposing a,
product: x:A 
B[x],
and: P 
Q,
uiff: uiff(P;Q),
subtype_rel: A r B,
all: x:A. B[x],
implies: P 
Q,
false: False,
not: 
A,
le: A 
B,
int: 
,
set: {x:A| B[x]} ,
axiom: Ax,
rec-combined-loc-class: f|Loc, X, Prior(self)|,
Id: Id,
apply: f a,
bag: bag(T),
equal: s = t,
nat: ,
eclass: EClass(A[eo; e]),
so_lambda: 
x y.t[x; y],
int_seg: {i..j},
universe: Type,
isect: 
x:A. B[x],
member: t T,
uall: [x:A]. B[x],
top: Top,
function: x:A B[x],
infix_ap: x f y,
bool: 
,
bag-size: bag-size(bs),
lt_int: i <z j,
or: P 
Q,
union: left + right,
sq_exists: x:{A| B[x]},
es-locl: (e <loc e'),
intensional-universe: IType,
cand: A c B,
atom: Atom,
es-base-E: es-base-E(es),
token: "$token",
pair: <a, b>,
so_apply: x[s],
guard: {T},
l_member: (x l),
es-E-interface: E(X),
inr: inr x ,
empty-bag: {},
inl: inl x
Lemmas :
empty-bag_wf,
es-local-pred_wf2,
es-base-E_wf,
subtype_rel_self,
intensional-universe_wf,
false_wf,
es-locl_wf,
assert_wf,
not_wf,
lt_int_wf,
bag-size_wf,
subtype_rel_wf,
es-local-pred_wf,
bool_wf,
es-E_wf,
bag_wf,
member_wf,
top_wf,
event-ordering+_wf,
nat_wf,
int_seg_wf,
event-ordering+_inc,
eclass_wf,
Id_wf,
es-loc_wf,
es-causl-swellfnd,
nat_properties,
ge_wf,
le_wf,
es-causl_wf
\mforall{}[Info:Type]. \mforall{}[n:\mBbbN{}]. \mforall{}[A:\mBbbN{}n {}\mrightarrow{} Type]. \mforall{}[X:i:\mBbbN{}n {}\mrightarrow{} EClass(A i)]. \mforall{}[T:Type]. \mforall{}[f:Id
{}\mrightarrow{} i:\mBbbN{}n {}\mrightarrow{} bag(A i)
{}\mrightarrow{} bag(T)
{}\mrightarrow{} bag(T)].
(f|Loc, X, Prior(self)| \mmember{} EClass(T))
Date html generated:
2011_08_16-PM-04_51_38
Last ObjectModification:
2011_04_14-PM-09_29_38
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