Nuprl Lemma : es-le-before-partition
[es:EO]. [e,a:E]. 
loc(e) = (before(a) @ [a, e]) supposing a loc e
Proof not projected
Definitions occuring in Statement :
es-interval: [e, e'],
es-le-before: loc(e),
es-before: before(e),
es-le: e loc e' ,
es-E: E,
event_ordering: EO,
append: as @ bs,
uimplies: b supposing a,
uall: [x:A]. B[x],
list: type List,
equal: s = t
Definitions :
uall: [x:A]. B[x],
uimplies: b supposing a,
member: t 
T,
all: x:A. B[x],
implies: P 
Q,
es-le-before: loc(e),
prop: 
,
so_lambda: 
x.t[x],
not: 
A,
assert: 
b,
bfalse: ff,
ifthenelse: if b then t else f fi ,
guard: {T},
wellfounded: WellFnd{i}(A;x,y.R[x; y]),
es-le: e loc e' ,
so_apply: x[s],
or: P 
Q,
sq_type: SQType(T),
false: False,
iff: P 
Q,
and: P 
Q,
rev_implies: P Q
Lemmas :
es-le_wf,
es-E_wf,
event_ordering_wf,
es-locl-wellfnd,
all_wf,
equal_wf,
append_wf,
es-before_wf,
es-interval_wf,
es-locl_wf,
es-pred_wf,
subtype_base_sq,
bool_wf,
bool_subtype_base,
false_wf,
es-pred-locl,
es-le-pred,
es-locl-first
\mforall{}[es:EO]. \mforall{}[e,a:E]. \mleq{}loc(e) = (before(a) @ [a, e]) supposing a \mleq{}loc e
Date html generated:
2012_01_23-PM-12_10_44
Last ObjectModification:
2011_12_13-AM-10_31_38
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