Nuprl Lemma : primed-class-opt-exists
[Info,B:Type]. [es:EO+(Info)]. [X:EClass(B)]. [init:Id 
bag(B)]. [e:E].
((
x:B. bag-member(B;x;init loc(e))) 
(b:B. b 
Prior(X)?init(e)))
Proof not projected
Definitions occuring in Statement :
primed-class-opt: Prior(X)?b,
classrel: v X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
uall: [x:A]. B[x],
exists: x:A. B[x],
squash: T,
implies: P Q,
apply: f a,
function: x:A B[x],
universe: Type,
bag-member: bag-member(T;x;bs),
bag: bag(T)
Definitions :
eclass: EClass(A[eo; e]),
squash: T,
exists: x:A. B[x],
classrel: v X(e),
implies: P Q,
all: x:A. B[x],
member: t T,
nat: 
,
ge: i 
j ,
le: A 
B,
not: 
A,
false: False,
prop: 
,
true: True,
top: Top,
so_lambda: 
x y.t[x; y],
ifthenelse: if b then t else f fi ,
btrue: tt,
bfalse: ff,
and: P 
Q,
strongwellfounded: SWellFounded(R[x; y]),
uall: [x:A]. B[x],
uimplies: b supposing a,
iff: P 
Q,
so_apply: x[s1;s2],
bool: 
,
unit: Unit,
uiff: uiff(P;Q),
guard: {T},
subtype: S 
T,
it: 
Lemmas :
es-causl-swellfnd,
nat_properties,
ge_wf,
nat_wf,
le_wf,
es-causl_wf,
primed-class-opt-cases,
es-interface-top,
es-first_wf,
bool_wf,
assert_wf,
bnot_wf,
not_wf,
lt_int_wf,
bag-size_wf,
es-pred_wf,
bag-size-bag-member,
le_int_wf,
event-ordering+_inc,
es-pred-causl,
squash_wf,
bag-member_wf,
es-loc_wf,
es-E_wf,
Id_wf,
bag_wf,
eclass_wf,
event-ordering+_wf,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
assert_of_lt_int,
assert_functionality_wrt_uiff,
bnot_of_lt_int,
assert_of_le_int,
es-loc-pred,
primed-class-opt_wf
\mforall{}[Info,B:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(B)]. \mforall{}[init:Id {}\mrightarrow{} bag(B)]. \mforall{}[e:E].
((\mdownarrow{}\mexists{}x:B. bag-member(B;x;init loc(e))) {}\mRightarrow{} (\mdownarrow{}\mexists{}b:B. b \mmember{} Prior(X)?init(e)))
Date html generated:
2011_10_20-PM-03_24_01
Last ObjectModification:
2011_10_11-PM-04_52_32
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