{ 
[T,Info:Type]. [X,Y,Z:EClass(T)]. (X || Y || Z = X || Y || Z) }
{ Proof }
Definitions occuring in Statement :
parallel-class: X || Y,
eclass: EClass(A[eo; e]),
uall: [x:A]. B[x],
universe: Type,
equal: s = t
Definitions :
sqequal: s ~ t,
apply: f a,
bag: bag(T),
bag-append: as + bs,
eclass-compose2: eclass-compose2(f;X;Y),
subtype: S 
T,
event_ordering: EO,
es-E: E,
event-ordering+: EO+(Info),
lambda: 
x.A[x],
pair: <a, b>,
fpf: a:A fp-> B[a],
strong-subtype: strong-subtype(A;B),
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],
universe: Type,
uall: [x:A]. B[x],
so_lambda: 
x y.t[x; y],
isect: 
x:A. B[x],
member: t 
T,
axiom: Ax,
equal: s = t,
eclass: EClass(A[eo; e]),
parallel-class: X || Y,
Auto: Error :Auto,
CollapseTHEN: Error :CollapseTHEN,
CollapseTHENA: Error :CollapseTHENA,
RepeatFor: Error :RepeatFor,
RepUR: Error :RepUR
Lemmas :
es-E_wf,
bag_wf,
event-ordering+_wf,
member_wf,
bag-append-assoc,
event-ordering+_inc,
eclass_wf,
parallel-class_wf,
bag-append_wf
\mforall{}[T,Info:Type]. \mforall{}[X,Y,Z:EClass(T)]. (X || Y || Z = X || Y || Z)
Date html generated:
2011_08_16-AM-11_37_16
Last ObjectModification:
2011_06_20-AM-00_30_04
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