{ 
[Info:Type]. [es:EO+(Info)]. [X:EClass(
)]. [e:E].
(
e(X) = if e 
le(X) then le(X)(e)(X) else 0 fi ) }
{ Proof }
Definitions occuring in Statement :
es-interface-sum: e(X),
es-le-interface: le(X),
eclass-val: X(e),
in-eclass: e X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
ifthenelse: if b then t else f fi ,
uall: [x:A]. B[x],
natural_number: $n,
int: ,
universe: Type,
equal: s = t
Definitions :
uall: [x:A]. B[x],
member: t T,
all: x:A. B[x],
so_lambda: 
x y.t[x; y],
top: Top,
prop: 
,
ifthenelse: if b then t else f fi ,
implies: P 
Q,
btrue: tt,
bfalse: ff,
rev_implies: P 
Q,
iff: P Q,
and: P 
Q,
es-E-interface: E(X),
guard: {T},
or: P 
Q,
so_apply: x[s1;s2],
uimplies: b supposing a,
bool: 
,
unit: Unit,
not: 
A,
false: False,
subtype: S 
T,
it: 
Lemmas :
es-E_wf,
event-ordering+_inc,
eclass_wf,
event-ordering+_wf,
in-eclass_wf,
es-le-interface_wf,
es-interface-subtype_rel2,
es-E-interface_wf,
es-interface-top,
top_wf,
bool_wf,
assert_wf,
not_wf,
bnot_wf,
iff_weakening_uiff,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
es-le-interface-val-cases,
es-interface-sum_wf,
es-interface-sum-cases,
es-is-le-interface-iff,
es-prior-interface_wf,
eclass-val_wf2
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(\mBbbZ{})]. \mforall{}[e:E].
(\mSigma{}\mleq{}e(X) = if e \mmember{}\msubb{} le(X) then \mSigma{}\mleq{}le(X)(e)(X) else 0 fi )
Date html generated:
2011_08_16-PM-06_05_45
Last ObjectModification:
2011_06_20-AM-01_47_34
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