Nuprl Lemma : es-interval-partition
[es:EO]. [e',e,a:E]. [e, e'] = ([e, pred(a)] @ [a, e']) supposing (e <loc a) 
a 
loc e'
Proof not projected
Definitions occuring in Statement :
es-interval: [e, e'],
es-le: e loc e' ,
es-locl: (e <loc e'),
es-pred: pred(e),
es-E: E,
event_ordering: EO,
append: as @ bs,
uimplies: b supposing a,
uall: [x:A]. B[x],
and: P Q,
list: type List,
equal: s = t
Definitions :
uall: [x:A]. B[x],
uimplies: b supposing a,
member: t 
T,
prop: 
,
all: x:A. B[x],
implies: P 
Q,
so_lambda: 
x.t[x],
not: 
A,
assert: 
b,
bfalse: ff,
ifthenelse: if b then t else f fi ,
and: P Q,
wellfounded: WellFnd{i}(A;x,y.R[x; y]),
so_apply: x[s],
sq_type: SQType(T),
guard: {T},
false: False,
or: P 
Q,
cand: A c B,
iff: P 
Q
Lemmas :
and_wf,
es-locl_wf,
es-le_wf,
es-E_wf,
event_ordering_wf,
es-locl-wellfnd,
all_wf,
equal_wf,
es-interval_wf,
append_wf,
es-pred_wf,
subtype_base_sq,
bool_wf,
bool_subtype_base,
false_wf,
es-locl-first,
es-interval-less,
es-locl_transitivity2,
es-le-iff,
es-le-trans3,
es-pred-locl
\mforall{}[es:EO]. \mforall{}[e',e,a:E]. [e, e'] = ([e, pred(a)] @ [a, e']) supposing (e <loc a) \mwedge{} a \mleq{}loc e'
Date html generated:
2012_01_23-PM-12_10_15
Last ObjectModification:
2011_12_13-AM-10_32_04
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