Nuprl Lemma : es-pred-exists-between
es:EO. e1,e2:E. ((e1 <loc e2) 
(
e:{e:E| 
first(e)} . (e1 = pred(e))))
Proof not projected
Definitions occuring in Statement :
es-locl: (e <loc e'),
es-pred: pred(e),
es-first: first(e),
es-E: E,
event_ordering: EO,
assert: b,
all: x:A. B[x],
exists: x:A. B[x],
not: A,
implies: P Q,
set: {x:A| B[x]} ,
equal: s = t
Definitions :
exists: x:A. B[x],
all: x:A. B[x],
implies: P Q,
not: A,
assert: b,
member: t 
T,
nat: 
,
ge: i 
j ,
le: A 
B,
false: False,
squash: 
T,
true: True,
rev_implies: P 
Q,
iff: P Q,
bfalse: ff,
ifthenelse: if b then t else f fi ,
and: P 
Q,
es-locl: (e <loc e'),
strongwellfounded: SWellFounded(R[x; y]),
uall: [x:A]. B[x],
prop: 
,
or: P 
Q,
uimplies: b supposing a,
sq_type: SQType(T),
guard: {T},
!hyp_hide: x
Lemmas :
es-pred_property,
es-locl_transitivity2,
es-le_weakening_eq,
es-locl_irreflexivity,
es-causl_transitivity2,
es-causle_weakening,
es-causl_irreflexivity,
and_wf,
Id_wf,
not_wf,
assert_wf,
es-first_wf,
not_assert_elim,
es-pred-causl,
es-causl_weakening,
es-causl-swellfnd,
nat_properties,
ge_wf,
less_than_wf,
nat_wf,
le_wf,
es-causl_wf,
es-locl-trichotomy,
es-pred_wf,
subtype_base_sq,
bool_wf,
bool_subtype_base,
false_wf,
es-locl_wf,
equal_wf,
es-E_wf,
event_ordering_wf,
es-locl-first,
es-loc-pred
\mforall{}es:EO. \mforall{}e1,e2:E. ((e1 <loc e2) {}\mRightarrow{} (\mexists{}e:\{e:E| \mneg{}\muparrow{}first(e)\} . (e1 = pred(e))))
Date html generated:
2012_02_20-PM-02_43_55
Last ObjectModification:
2012_02_17-PM-12_59_52
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