Nuprl Lemma : eo-restrict_property
es:EO. P:E 
. (E 
{e:E| 
(P e)} 
(e:E. (loc(e) = loc(e))) (e1,e2:E. ((e1 < e2) 
(e1 < e2))))
Proof not projected
Definitions occuring in Statement :
es-causl: (e < e'),
es-loc: loc(e),
eo-restrict: eo-restrict(eo;P),
es-E: E,
event_ordering: EO,
Id: Id,
ext-eq: A B,
assert: b,
bool: ,
all: x:A. B[x],
iff: P Q,
and: P Q,
set: {x:A| B[x]} ,
apply: f a,
function: x:A B[x],
equal: s = t
Definitions :
so_lambda: 
x.t[x],
prop: 
,
rev_implies: P Q,
implies: P Q,
member: t 
T,
btrue: tt,
bfalse: ff,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
cand: A c B,
es-causl: (e < e'),
iff: P Q,
es-loc: loc(e),
eo-restrict: eo-restrict(eo;P),
and: P Q,
es-E: E,
all: x:A. B[x],
true: True,
squash: 
T,
ext-eq: A B,
uimplies: b supposing a,
infix_ap: x f y,
exists: 
x:A. B[x],
or: P 
Q,
record+: record+,
band: p 
q,
assert: b,
record-select: r.x,
event_ordering: EO,
so_apply: x[s],
guard: {T},
uiff: uiff(P;Q),
rev_uimplies: rev_uimplies(P;Q),
uall: [x:A]. B[x],
sq_type: SQType(T),
false: False,
unit: Unit,
nat: 
,
bool: ,
it: 
Lemmas :
event_ordering_wf,
bool_wf,
subtype_rel_set_simple,
ext-eq_weakening,
assert_wf,
subtype_rel_functionality_wrt_iff,
es-causl_wf,
eo-restrict_wf,
es-E_wf,
es-loc_wf,
band_wf,
bool_subtype_base,
subtype_base_sq,
assert_elim,
bfalse_wf,
false_wf,
assert_of_bnot,
eqff_to_assert,
bnot_wf,
uiff_transitivity,
eqtt_to_assert,
isect_wf,
l_member_wf,
less_than_wf,
nat_wf,
exists_wf,
not_wf,
equal_wf,
or_wf,
all_wf,
Id_wf,
subtype_rel_self
\mforall{}es:EO. \mforall{}P:E {}\mrightarrow{} \mBbbB{}.
(E \mequiv{} \{e:E| \muparrow{}(P e)\} \mwedge{} (\mforall{}e:E. (loc(e) = loc(e))) \mwedge{} (\mforall{}e1,e2:E. ((e1 < e2) \mLeftarrow{}{}\mRightarrow{} (e1 < e2))))
Date html generated:
2012_01_23-PM-12_07_58
Last ObjectModification:
2011_12_13-AM-11_06_14
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