{ 
[Info:Type]
es:EO+(Info). X:EClass(Top). f:sys-antecedent(es;X). c:Cut(X;f).
e,a:E(X). j:Id.
((a 
c+e(j)) 
(a c(j)) 
((loc(e) = j) 
(a = e))) }
{ Proof }
Definitions occuring in Statement :
es-cut-add: c+e,
es-cut-at: c(i),
es-cut: Cut(X;f),
sys-antecedent: sys-antecedent(es;Sys),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-loc: loc(e),
Id: Id,
uall: [x:A]. B[x],
top: Top,
all: x:A. B[x],
iff: P Q,
or: P Q,
and: P Q,
universe: Type,
equal: s = t,
l_member: (x l)
Definitions :
rev_implies: P Q,
implies: P Q,
iff: P Q,
and: P Q,
member: t T,
prop: 
,
cand: A c B,
or: P Q,
so_lambda: 
x.t[x],
es-E-interface: E(X),
assert: 
b,
all: x:A. B[x],
subtype: S 
T,
btrue: tt,
guard: {T},
ifthenelse: if b then t else f fi ,
true: True,
squash: 
T,
uall: [x:A]. B[x],
uimplies: b supposing a,
decidable: Dec(P),
so_apply: x[s],
sq_type: SQType(T),
not: 
A,
false: False
Lemmas :
member-fset-union,
and_functionality_wrt_iff,
member-fset-singleton,
or_functionality_wrt_uiff2,
and_functionality_wrt_uiff2,
iff_weakening_uiff,
iff_functionality_wrt_iff,
fset-member_wf,
es-E-interface_wf,
es-eq_wf-interface,
fset-union_wf,
fset-singleton_wf,
Id_wf,
es-loc_wf,
event-ordering+_inc,
l_member_wf,
es-E_wf,
es-fset-at_wf,
es-eq_wf,
subtype_rel_fset,
es-E-interface-strong-subtype,
decidable__equal_Id,
decidable__fset-member,
decidable__equal_es-E-interface,
or_functionality_wrt_iff,
l_member-settype,
assert_wf,
in-eclass_wf,
subtype_base_sq,
bool_wf,
bool_subtype_base,
es-fset-at_wf-interface,
assert_elim,
decidable__l_member,
decidable__es-E-equal,
squash_wf,
true_wf,
event_ordering_wf
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}f:sys-antecedent(es;X). \mforall{}c:Cut(X;f). \mforall{}e,a:E(X). \mforall{}j:Id.
((a \mmember{} c+e(j)) \mLeftarrow{}{}\mRightarrow{} (a \mmember{} c(j)) \mvee{} ((loc(e) = j) \mwedge{} (a = e)))
Date html generated:
2011_08_16-PM-05_51_50
Last ObjectModification:
2011_06_20-AM-01_37_05
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