{ 
[Info:Type]
es:EO+(Info)
[A:Type]
X:EClass(A List). e:E. a:A.
((a 
es-interface-history(es;X;e))
e':E. (((
e' 
X) 
e' 
loc e ) (a X(e')))) }
{ Proof }
Definitions occuring in Statement :
es-interface-history: es-interface-history(es;X;e),
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,
uall: [x:A]. B[x],
all: x:A. B[x],
exists: x:A. B[x],
iff: P Q,
and: P Q,
list: type List,
universe: Type,
l_member: (x l)
Definitions :
member: t T,
prop: 
,
assert: b,
so_lambda: 
x y.t[x; y],
btrue: tt,
ifthenelse: if b then t else f fi ,
true: True,
exists: x:A. B[x],
and: P Q,
cand: A c B,
iff: P Q,
rev_implies: P Q,
implies: P Q,
all: x:A. B[x],
so_lambda: x.t[x],
uall: [x:A]. B[x],
so_apply: x[s1;s2],
uimplies: b supposing a,
sq_type: SQType(T),
guard: {T},
so_apply: x[s],
subtype: S 
T
Lemmas :
l_member_wf,
concat_wf,
mapfilter_wf,
es-E_wf,
Id_wf,
es-loc_wf,
es-le-before_wf,
in-eclass_wf,
eclass-val_wf,
event-ordering+_inc,
event-ordering+_wf,
subtype_base_sq,
bool_wf,
bool_subtype_base,
assert_wf,
assert_elim,
es-interface-top,
es-le_wf,
eclass_wf,
iff_functionality_wrt_iff,
member-concat,
exists_functionality_wrt_iff,
and_functionality_wrt_iff,
member-mapfilter,
assert_witness,
es-le-loc
\mforall{}[Info:Type]
\mforall{}es:EO+(Info)
\mforall{}[A:Type]
\mforall{}X:EClass(A List). \mforall{}e:E. \mforall{}a:A.
((a \mmember{} es-interface-history(es;X;e)) \mLeftarrow{}{}\mRightarrow{} \mexists{}e':E. (((\muparrow{}e' \mmember{}\msubb{} X) \mwedge{} e' \mleq{}loc e ) \mwedge{} (a \mmember{} X(e'))))
Date html generated:
2011_08_16-PM-04_32_40
Last ObjectModification:
2011_06_20-AM-00_54_20
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