{ 
[Info:Type]. [es:EO+(Info)]. [X:EClass(
)].
[e:E]. (0 
e(X)) supposing e:E(X). (0 X(e)) }
{ Proof }
Definitions occuring in Statement :
es-interface-sum: e(X),
es-E-interface: E(X),
eclass-val: X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uimplies: b supposing a,
uall: [x:A]. B[x],
le: A B,
all: x:A. B[x],
natural_number: $n,
int: ,
universe: Type
Definitions :
uall: [x:A]. B[x],
uimplies: b supposing a,
all: x:A. B[x],
le: A B,
es-interface-sum: e(X),
member: t 
T,
es-interface-local-state: local-state(f;base;X;e),
ifthenelse: if b then t else f fi ,
not: 
A,
implies: P 
Q,
false: False,
prop: 
,
assert: 
b,
so_lambda: 
x y.t[x; y],
btrue: tt,
true: True,
so_lambda: x.t[x],
bfalse: ff,
es-E-interface: E(X),
so_apply: x[s1;s2],
sq_type: SQType(T),
guard: {T},
so_apply: x[s],
bool: 
,
unit: Unit,
iff: P 
Q,
and: P 
Q,
subtype: S 
T,
it: 
Lemmas :
es-interface-sum_wf,
es-E_wf,
es-E-interface_wf,
le_wf,
eclass-val_wf,
event-ordering+_wf,
subtype_base_sq,
bool_subtype_base,
event-ordering+_inc,
bool_wf,
eclass_wf,
assert_elim,
in-eclass_wf,
es-local-prior-state-induction,
es-locl_wf,
es-interface-top,
assert_wf,
not_wf,
bnot_wf,
iff_weakening_uiff,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(\mBbbZ{})]. \mforall{}[e:E]. (0 \mleq{} \mSigma{}\mleq{}e(X)) supposing \mforall{}e:E(X). (0 \mleq{} X(e))
Date html generated:
2011_08_16-PM-05_34_52
Last ObjectModification:
2011_06_20-AM-01_27_45
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