{ 
es:EO. e:E.
[P:{a:E| loc(a) = loc(e)} 
]
((a:{a:E| loc(a) = loc(e)} . Dec(P[a]))
(e'
e.
P[e']
(
e':E
(e' loc e
c
(P[e']
(e'':E. ((e' <loc e'') e'' loc e (P[e''])))))))) }
{ Proof }
Definitions occuring in Statement :
alle-le: ee'.P[e],
es-le: e loc e' ,
es-locl: (e <loc e'),
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
decidable: Dec(P),
uall: [x:A]. B[x],
cand: A c B,
prop: ,
so_apply: x[s],
all: x:A. B[x],
exists: x:A. B[x],
not: A,
implies: P Q,
or: P Q,
and: P Q,
set: {x:A| B[x]} ,
function: x:A B[x],
equal: s = t
Definitions :
all: x:A. B[x],
uall: [x:A]. B[x],
prop: ,
implies: P Q,
so_apply: x[s],
alle-at: e@i.P[e],
member: t 
T,
so_lambda: 
x.t[x],
exists: x:A. B[x],
cand: A c B,
and: P Q,
or: P Q,
guard: {T},
uimplies: b supposing a,
not: A,
alle-le: ee'.P[e],
false: False,
decidable: Dec(P),
es-locl: (e <loc e'),
existse-le: ee'.P[e]
Lemmas :
previous-event-exists,
decidable__existse-le,
Id_wf,
es-loc_wf,
es-E_wf,
decidable_wf,
event_ordering_wf,
alle-le_wf,
not_wf,
es-le_wf,
es-locl_wf,
es-le-loc
\mforall{}es:EO. \mforall{}e:E.
\mforall{}[P:\{a:E| loc(a) = loc(e)\} {}\mrightarrow{} \mBbbP{}]
((\mforall{}a:\{a:E| loc(a) = loc(e)\} . Dec(P[a]))
{}\mRightarrow{} (\mforall{}e'\mleq{}e.\mneg{}P[e']
\mvee{} (\mexists{}e':E. (e' \mleq{}loc e c\mwedge{} (P[e'] \mwedge{} (\mforall{}e'':E. ((e' <loc e'') {}\mRightarrow{} e'' \mleq{}loc e {}\mRightarrow{} (\mneg{}P[e'']))))))))
Date html generated:
2011_08_16-AM-10_51_22
Last ObjectModification:
2011_06_18-AM-09_26_23
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