Nuprl Lemma : integer-class-bound-exists
[Info:Type]. es:EO+(Info). X:EClass(
). e:E. 
b:
. x:. (x 
X(e) 
(x < b))
Proof not projected
Definitions occuring in Statement :
classrel: v X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
nat_plus: ,
uall: [x:A]. B[x],
all: x:A. B[x],
exists: x:A. B[x],
implies: P Q,
less_than: a < b,
int: ,
universe: Type
Definitions :
so_lambda: 
x y.t[x; y],
so_lambda: x.t[x],
prop: 
,
member: t T,
implies: P Q,
nat_plus: ,
exists: x:A. B[x],
all: x:A. B[x],
uall: [x:A]. B[x],
ycomb: Y,
length: ||as||,
cons-bag: x.b,
bag-size: bag-size(bs),
eclass: EClass(A[eo; e]),
true: True,
or: P 
Q,
squash: 
T,
sq_or: a b,
guard: {T},
so_apply: x[s1;s2],
so_apply: x[s],
uimplies: b supposing a,
nat: ,
and: P 
Q,
uiff: uiff(P;Q),
rev_uimplies: rev_uimplies(P;Q),
classrel: v X(e),
subtype: S 
T
Lemmas :
event-ordering+_wf,
eclass_wf,
event-ordering+_inc,
es-E_wf,
less_than_wf,
all_wf,
classrel_wf,
cons-bag_wf,
imax-bag_wf,
nat_wf,
bag-size_wf,
imax-bag-ub,
bag-member_wf,
bag-member-cons,
equal_wf
\mforall{}[Info:Type]. \mforall{}es:EO+(Info). \mforall{}X:EClass(\mBbbZ{}). \mforall{}e:E. \mexists{}b:\mBbbN{}\msupplus{}. \mforall{}x:\mBbbZ{}. (x \mmember{} X(e) {}\mRightarrow{} (x < b))
Date html generated:
2012_01_23-PM-12_26_58
Last ObjectModification:
2011_12_13-PM-02_04_50
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