Nuprl Lemma : eo-forward-before
[Info:Type]. [es:EO+(Info)]. [e,b:E]. before(e) = filter(
a.b 
loc a;before(e)) supposing b loc e
Proof not projected
Definitions occuring in Statement :
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-before: before(e),
es-ble: e loc e',
es-le: e loc e' ,
es-E: E,
uimplies: b supposing a,
uall: [x:A]. B[x],
lambda: x.A[x],
list: type List,
universe: Type,
equal: s = t,
filter: filter(P;l)
Definitions :
member: t 
T,
uimplies: b supposing a,
uall: [x:A]. B[x],
true: True,
squash: 
T,
false: False,
not: 
A,
le: A B,
ge: i 
j ,
nat: 
,
implies: P 
Q,
all: x:A. B[x],
ycomb: Y,
es-before: before(e),
guard: {T},
bfalse: ff,
btrue: tt,
top: Top,
ifthenelse: if b then t else f fi ,
assert: 
b,
reduce: reduce(f;k;as),
filter: filter(P;l),
prop: 
,
subtype: S 
T,
exists: 
x:A. B[x],
strongwellfounded: SWellFounded(R[x; y]),
and: P 
Q,
uiff: uiff(P;Q),
unit: Unit,
bool: 
,
rev_implies: P 
Q,
iff: P Q,
sq_type: SQType(T),
or: P 
Q,
es-le: e loc e' ,
it: 
,
!hyp_hide: x
Lemmas :
event-ordering+_wf,
es-E_wf,
event-ordering+_inc,
es-le_wf,
equal_wf,
es-causl_wf,
le_wf,
nat_wf,
less_than_wf,
ge_wf,
nat_properties,
es-causl-swellfnd,
eo-forward-first,
not_functionality_wrt_uiff,
assert_of_bnot,
eqff_to_assert,
not_wf,
bnot_wf,
assert-eq-id,
eqtt_to_assert,
Id_wf,
assert_wf,
uiff_transitivity,
bool_wf,
es-loc_wf,
eq_id_wf,
eo-forward-loc,
assert-es-eq-E-2,
es-eq-E_wf,
es-locl-first,
es-le-pred,
es-causl_weakening,
es-pred-causl,
false_wf,
bool_subtype_base,
subtype_base_sq,
es-pred_wf,
assert_elim,
btrue_neq_bfalse,
es-first_wf,
true_wf,
squash_wf,
append_wf,
es-locl_wf,
top_wf,
es-before_wf3,
filter_append_sq,
eo-forward-E-subtype,
member-eo-forward-E,
eo-forward_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[e,b:E].
before(e) = filter(\mlambda{}a.b \mleq{}loc a;before(e)) supposing b \mleq{}loc e
Date html generated:
2012_01_23-PM-12_16_05
Last ObjectModification:
2011_12_13-AM-10_34_52
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