{ 
es:EO. i:Id.
[P:{e:E| loc(e) = i} 
]
(e@i.P[e]
e@i.P[e] supposing 
first(e)
e@i.P[pred(e)] P[e] supposing 
first(e)) }
{ Proof }
Definitions occuring in Statement :
alle-at: e@i.P[e],
es-pred: pred(e),
es-first: first(e),
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
assert: b,
uimplies: b supposing a,
uall: [x:A]. B[x],
prop: ,
so_apply: x[s],
all: x:A. B[x],
iff: P Q,
not: A,
implies: 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: ,
iff: P Q,
so_apply: x[s],
and: P Q,
uimplies: b supposing a,
implies: P Q,
rev_implies: P Q,
member: t 
T,
so_lambda: 
x.t[x],
alle-at: e@i.P[e],
not: A,
false: False,
wellfounded: WellFnd{i}(A;x,y.R[x; y]),
guard: {T},
decidable: Dec(P),
or: P 
Q
Lemmas :
alle-at_wf,
es-E_wf,
Id_wf,
es-loc_wf,
assert_wf,
es-first_wf,
not_wf,
event_ordering_wf,
assert_witness,
es-pred_wf,
es-loc-pred,
es-locl_wf,
es-locl-wellfnd,
decidable__assert,
es-pred-locl
\mforall{}es:EO. \mforall{}i:Id.
\mforall{}[P:\{e:E| loc(e) = i\} {}\mrightarrow{} \mBbbP{}]
(\mforall{}e@i.P[e] \mLeftarrow{}{}\mRightarrow{} \mforall{}e@i.P[e] supposing \muparrow{}first(e) \mwedge{} \mforall{}e@i.P[pred(e)] {}\mRightarrow{} P[e] supposing \mneg{}\muparrow{}first(e))
Date html generated:
2011_08_16-AM-10_44_41
Last ObjectModification:
2011_06_18-AM-09_20_25
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