{ 
[Info:Type]
es:EO+(Info). Sys:EClass(Top). f:sys-antecedent(es;Sys). b,e:E(Sys).
(b is f*(e)
e':E(Sys)
((loc(e') = loc(e))
e' is f*(e)
b is f*(e')
(
(loc(f e') = loc(e'))))
supposing (loc(b) = loc(e))) }
{ Proof }
Definitions occuring in Statement :
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,
uimplies: b supposing a,
uall: [x:A]. B[x],
top: Top,
all: x:A. B[x],
exists: x:A. B[x],
not: A,
implies: P Q,
and: P Q,
apply: f a,
universe: Type,
equal: s = t,
fun-connected: y is f*(x)
Definitions :
uall: [x:A]. B[x],
all: x:A. B[x],
implies: P Q,
member: t 
T,
nat: 
,
guard: {T},
prop: 
,
so_lambda: 
x y.t[x; y],
not: A,
false: False,
ge: i 
j ,
le: A 
B,
uimplies: b supposing a,
exists: x:A. B[x],
and: P Q,
cand: A c B,
squash: 
T,
true: True,
es-E-interface: E(X),
assert: 
b,
btrue: tt,
ifthenelse: if b then t else f fi ,
strongwellfounded: SWellFounded(R[x; y]),
so_apply: x[s1;s2],
sys-antecedent: sys-antecedent(es;Sys),
decidable: Dec(P),
or: P 
Q,
sq_stable: SqStable(P),
es-causle: e c e',
sq_type: SQType(T),
subtype: S 
T
Lemmas :
es-causl-swellfnd,
event-ordering+_inc,
nat_wf,
le_wf,
es-E-interface_wf,
sys-antecedent_wf,
eclass_wf,
top_wf,
es-E_wf,
event-ordering+_wf,
es-causl_wf,
nat_properties,
ge_wf,
Id_wf,
es-loc_wf,
decidable__equal_Id,
es-E-interface-subtype_rel,
fun-connected_weakening_eq,
fun-connected_wf,
not_wf,
fun-connected-step-back,
fun-connected-fixedpoint,
sq_stable_from_decidable,
es-causle_wf,
decidable__es-causle,
subtype_base_sq,
bool_wf,
bool_subtype_base,
assert_wf,
in-eclass_wf,
assert_elim,
fun-connected-step,
decidable__equal_es-E-interface,
fun-connected_transitivity
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}Sys:EClass(Top). \mforall{}f:sys-antecedent(es;Sys). \mforall{}b,e:E(Sys).
(b is f*(e)
{}\mRightarrow{} \mexists{}e':E(Sys). ((loc(e') = loc(e)) \mwedge{} e' is f*(e) \mwedge{} b is f*(e') \mwedge{} (\mneg{}(loc(f e') = loc(e'))))
supposing \mneg{}(loc(b) = loc(e)))
Date html generated:
2011_08_16-PM-06_02_38
Last ObjectModification:
2011_06_20-AM-01_45_57
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