Nuprl Lemma : hd-es-le-before
es:EO. e,fst:E. ((
first(fst)) 
fst 
loc e (hd(loc(e)) = fst))
Proof not projected
Definitions occuring in Statement :
es-le-before: loc(e),
es-le: e loc e' ,
es-first: first(e),
es-E: E,
event_ordering: EO,
hd: hd(l),
assert: b,
all: x:A. B[x],
implies: P Q,
equal: s = t
Definitions :
and: P 
Q,
all: x:A. B[x],
implies: P Q,
hd: hd(l),
es-le-before: loc(e),
member: t 
T,
nat: 
,
ge: i 
j ,
le: A B,
not: 
A,
false: False,
squash: 
T,
true: True,
append: as @ bs,
es-before: before(e),
ycomb: Y,
ifthenelse: if b then t else f fi ,
btrue: tt,
bfalse: ff,
strongwellfounded: SWellFounded(R[x; y]),
exists: 
x:A. B[x],
uall: [x:A]. B[x],
prop: 
,
bool: 
,
unit: Unit,
uimplies: b supposing a,
uiff: uiff(P;Q),
es-le: e loc e' ,
iff: P 
Q,
rev_implies: P Q,
or: P 
Q,
it: 
,
!hyp_hide: x
Lemmas :
ifthenelse_wf,
and_wf,
es-causl-swellfnd,
nat_properties,
ge_wf,
less_than_wf,
nat_wf,
le_wf,
es-causl_wf,
es-first_wf,
bool_wf,
eqtt_to_assert,
uiff_transitivity,
equal_wf,
assert_wf,
bnot_wf,
not_wf,
eqff_to_assert,
assert_of_bnot,
es-le_wf,
es-E_wf,
event_ordering_wf,
assert_elim,
es-le-first,
es-pred_wf,
es-pred-causl,
es-causle_weakening_locl,
es-le-pred,
btrue_neq_bfalse,
not_assert_elim
\mforall{}es:EO. \mforall{}e,fst:E. ((\muparrow{}first(fst)) {}\mRightarrow{} fst \mleq{}loc e {}\mRightarrow{} (hd(\mleq{}loc(e)) = fst))
Date html generated:
2012_01_23-PM-12_10_58
Last ObjectModification:
2011_12_13-AM-10_31_25
Home
Index