{ 
[Info:Type]. [es:EO+(Info)]. [e:E]. [n:
]. [Z:EClass()].
uiff(if e 
((maximum x 
0 with x from Z))'
then ((maximum x 0 with x from Z))'(e)
else -1
fi 
n;[e':E(Z)]. Z(e') n supposing e' loc e )
supposing 
e Z }
{ Proof }
Definitions occuring in Statement :
es-prior-val: (X)',
imax-class: (maximum f[v] lb with v from X),
es-E-interface: E(X),
eclass-val: X(e),
in-eclass: e X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-le: e loc e' ,
es-E: E,
assert: b,
ifthenelse: if b then t else f fi ,
nat: ,
uiff: uiff(P;Q),
uimplies: b supposing a,
uall: [x:A]. B[x],
le: A B,
not: A,
minus: -n,
natural_number: $n,
universe: Type
Definitions :
fpf: a:A fp-> B[a],
strong-subtype: strong-subtype(A;B),
record-select: r.x,
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
decide: case b of inl(x) => s[x] | inr(y) => t[y],
ifthenelse: if b then t else f fi ,
dep-isect: Error :dep-isect,
record+: record+,
ge: i j ,
less_than: a < b,
product: x:A 
B[x],
and: P 
Q,
uiff: uiff(P;Q),
subtype_rel: A 
r B,
implies: P 
Q,
false: False,
le: A B,
int: 
,
set: {x:A| B[x]} ,
top: Top,
in-eclass: e X,
prop: 
,
assert: b,
not: A,
uimplies: b supposing a,
lambda: 
x.A[x],
so_lambda: 
x y.t[x; y],
eclass: EClass(A[eo; e]),
subtype: S T,
universe: Type,
es-E: E,
all: x:A. B[x],
function: x:A 
B[x],
uall: [x:A]. B[x],
isect: 
x:A. B[x],
member: t T,
equal: s = t,
event_ordering: EO,
event-ordering+: EO+(Info),
Auto: Error :Auto,
so_lambda: x.t[x],
nat: ,
CollapseTHEN: Error :CollapseTHEN,
tactic: Error :tactic
Lemmas :
event-ordering+_wf,
es-E_wf,
event-ordering+_inc,
not_wf,
assert_wf,
in-eclass_wf,
member_wf,
eclass_wf,
subtype_rel_wf,
es-interface-top,
prior-imax-class-lb2,
nat_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. \mforall{}[n:\mBbbN{}]. \mforall{}[Z:EClass(\mBbbN{})].
uiff(if e \mmember{}\msubb{} ((maximum x \mgeq{} 0 with x from Z))'
then ((maximum x \mgeq{} 0 with x from Z))'(e)
else -1
fi \mleq{} n;\mforall{}[e':E(Z)]. Z(e') \mleq{} n supposing e' \mleq{}loc e )
supposing \mneg{}\muparrow{}e \mmember{}\msubb{} Z
Date html generated:
2011_08_16-PM-05_20_29
Last ObjectModification:
2011_06_20-AM-01_21_27
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