Nuprl Lemma : primed-class-opt-single-val0
[Info,B:Type]. [es:EO+(Info)]. [X:EClass(B)]. [init:Id 
bag(B)].
e:E. v1,v2:B.
(single-valued-bag(init loc(e);B)
single-valued-classrel(es;X;B)
v1 
Prior(X)?init(e)
v2 Prior(X)?init(e)
(v1 = v2))
Proof not projected
Definitions occuring in Statement :
primed-class-opt: Prior(X)?b,
single-valued-classrel: single-valued-classrel(es;X;T),
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],
all: x:A. B[x],
implies: P Q,
apply: f a,
function: x:A B[x],
universe: Type,
equal: s = t,
single-valued-bag: single-valued-bag(b;T),
bag: bag(T)
Definitions :
so_lambda: 
x y.t[x; y],
member: t T,
iff: P 
Q,
rev_implies: P Q,
true: True,
and: P 
Q,
exists: 
x:A. B[x],
squash: 
T,
false: False,
so_apply: x[s1;s2],
prop: 
,
uall: [x:A]. B[x],
uiff: uiff(P;Q),
implies: P Q,
all: x:A. B[x],
or: P 
Q,
uimplies: b supposing a,
single-valued-bag: single-valued-bag(b;T),
single-valued-classrel: single-valued-classrel(es;X;T),
not: 
A,
es-locl: (e <loc e'),
es-p-local-pred: es-p-local-pred(es;P),
subtype: S 
T,
guard: {T}
Lemmas :
event-ordering+_wf,
eclass_wf,
bag_wf,
Id_wf,
es-E_wf,
event-ordering+_inc,
es-loc_wf,
single-valued-bag_wf,
single-valued-classrel_wf,
primed-class-opt_wf,
classrel_wf,
primed-class-opt-classrel,
equal_wf,
and_wf,
es-locl-trichotomy
\mforall{}[Info,B:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(B)]. \mforall{}[init:Id {}\mrightarrow{} bag(B)].
\mforall{}e:E. \mforall{}v1,v2:B.
(single-valued-bag(init loc(e);B)
{}\mRightarrow{} single-valued-classrel(es;X;B)
{}\mRightarrow{} v1 \mmember{} Prior(X)?init(e)
{}\mRightarrow{} v2 \mmember{} Prior(X)?init(e)
{}\mRightarrow{} (v1 = v2))
Date html generated:
2012_02_20-PM-02_52_05
Last ObjectModification:
2012_02_06-PM-07_54_11
Home
Index