{ 
[T:Type]. [A:es:EO+(T) 
E Type]. [X:EClass(A[es;e])]. [eo:EO+(T)].
[e:E].
(X eo e) = {X(e)} supposing 
e 
X }
{ Proof }
Definitions occuring in Statement :
eclass-val: X(e),
in-eclass: e X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: b,
uimplies: b supposing a,
uall: [x:A]. B[x],
so_apply: x[s1;s2],
apply: f a,
function: x:A B[x],
universe: Type,
equal: s = t,
single-bag: {x},
bag: bag(T)
Definitions :
atom: Atom,
es-base-E: es-base-E(es),
token: "$token",
void: Void,
fpf-cap: f(x)?z,
bool: 
,
intensional-universe: IType,
so_apply: x[s],
implies: P 
Q,
union: left + right,
or: P 
Q,
guard: {T},
eq_knd: a = b,
l_member: (x l),
fpf-dom: x dom(f),
so_lambda: 
x.t[x],
lambda: x.A[x],
subtype: S 
T,
top: Top,
in-eclass: e X,
pair: <a, b>,
fpf: a:A fp-> B[a],
strong-subtype: strong-subtype(A;B),
record-select: r.x,
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
decide: case b of inl(x) => s[x] | inr(y) => t[y],
ifthenelse: if b then t else f fi ,
set: {x:A| B[x]} ,
dep-isect: Error :dep-isect,
record+: record+,
le: A 
B,
ge: i 
j ,
not: 
A,
less_than: a < b,
product: x:A 
B[x],
and: P 
Q,
uiff: uiff(P;Q),
subtype_rel: A r B,
all: x:A. B[x],
axiom: Ax,
eclass-val: X(e),
single-bag: {x},
apply: f a,
so_apply: x[s1;s2],
bag: bag(T),
prop: 
,
assert: b,
uimplies: b supposing a,
equal: s = t,
universe: Type,
function: x:A B[x],
so_lambda: x y.t[x; y],
eclass: EClass(A[eo; e]),
uall: [x:A]. B[x],
isect: 
x:A. B[x],
member: t T,
es-E: E,
event_ordering: EO,
event-ordering+: EO+(Info),
CollapseTHEN: Error :CollapseTHEN,
RepUR: Error :RepUR,
tactic: Error :tactic,
null: null(as),
set_blt: a < b,
grp_blt: a < b,
infix_ap: x f y,
dcdr-to-bool: [d],
bl-all: (xL.P[x])_b,
bl-exists: (
xL.P[x])_b,
b-exists: (i<n.P[i])_b,
eq_type: eq_type(T;T'),
qeq: qeq(r;s),
q_less: q_less(r;s),
q_le: q_le(r;s),
deq-member: deq-member(eq;x;L),
deq-disjoint: deq-disjoint(eq;as;bs),
deq-all-disjoint: deq-all-disjoint(eq;ass;bs),
eq_id: a = b,
eq_lnk: a = b,
es-eq-E: e = e',
es-bless: e <loc e',
es-ble: e loc e',
bnot: b,
bimplies: p q,
band: p q,
bor: p q,
sqequal: s ~ t,
real: 
,
grp_car: |g|,
int: 
,
nat: 
,
quotient: x,y:A//B[x; y],
eq_int: (i =
j),
bag-size: bag-size(bs),
natural_number: $n,
bag-only: only(bs),
Auto: Error :Auto
Lemmas :
bag-only_wf,
eq_int_wf,
bag-size-one,
assert_of_eq_int,
bag-size_wf,
nat_wf,
eclass_wf,
member_wf,
in-eclass_wf,
assert_wf,
subtype_rel_wf,
single-bag_wf,
eclass-val_wf,
bag_wf,
es-E_wf,
event-ordering+_wf,
event-ordering+_inc,
uall_wf,
intensional-universe_wf,
dep-eclass_subtype_rel,
top_wf,
es-base-E_wf,
subtype_rel_self
\mforall{}[T:Type]. \mforall{}[A:es:EO+(T) {}\mrightarrow{} E {}\mrightarrow{} Type]. \mforall{}[X:EClass(A[es;e])]. \mforall{}[eo:EO+(T)]. \mforall{}[e:E].
(X eo e) = \{X(e)\} supposing \muparrow{}e \mmember{}\msubb{} X
Date html generated:
2011_08_16-AM-11_31_21
Last ObjectModification:
2011_06_20-AM-00_28_36
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