{ 
[Info:Type]. [es:EO+(Info)]. [A:Type]. [Xs:EClass(A) List].
[X:EClass(A)]
[e:E]. first-eclass(Xs)(e) = X(e) supposing 
e 
X supposing (X Xs)
supposing (XXs.(YXs.(X = Y) 
X 
Y = 0)) }
{ Proof }
Definitions occuring in Statement :
es-interface-disjoint: X Y = 0,
first-eclass: first-eclass(Xs),
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],
or: P Q,
list: type List,
universe: Type,
equal: s = t,
l_all: (xL.P[x]),
l_member: (x l)
Definitions :
uall: [x:A]. B[x],
uimplies: b supposing a,
or: P Q,
member: t T,
l_exists: (
xL. P[x]),
and: P 
Q,
exists: x:A. B[x],
prop: 
,
cand: A c B,
so_lambda: 
x y.t[x; y],
so_lambda: x.t[x],
squash: 
T,
so_apply: x[s1;s2],
true: True,
top: Top,
all: x:A. B[x],
iff: P 
Q,
implies: P Q,
rev_implies: P Q,
so_apply: x[s],
l_all: (xL.P[x]),
es-interface-disjoint: X Y = 0,
not: 
A,
false: False,
subtype: S 
T
Lemmas :
in-first-eclass,
l_member_wf,
eclass_wf,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
assert_wf,
in-eclass_wf,
es-interface-top,
l_all_wf2,
es-interface-disjoint_wf,
first-eclass-val,
eclass-val_wf,
squash_wf,
es-interface-subtype_rel2,
top_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A:Type]. \mforall{}[Xs:EClass(A) List].
\mforall{}[X:EClass(A)]. \mforall{}[e:E]. first-eclass(Xs)(e) = X(e) supposing \muparrow{}e \mmember{}\msubb{} X supposing (X \mmember{} Xs)
supposing (\mforall{}X\mmember{}Xs.(\mforall{}Y\mmember{}Xs.(X = Y) \mvee{} X \mcap{} Y = 0))
Date html generated:
2011_08_16-PM-04_27_43
Last ObjectModification:
2011_06_20-AM-00_51_50
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