{ 
[Info,A,B:Type]. [P:A 
]. [f:A B]. [X:EClass(A)].
((f[v] where v from X such that P[v]) 
EClass(B)) }
{ Proof }
Definitions occuring in Statement :
mapfilter-class: (f[v] where v from X such that P[v]),
eclass: EClass(A[eo; e]),
bool: ,
uall: [x:A]. B[x],
so_apply: x[s],
member: t T,
function: x:A B[x],
universe: Type
Definitions :
empty-bag: {},
single-bag: {x},
bag: bag(T),
ifthenelse: if b then t else f fi ,
es-filter-image: f[X],
subtype: S 
T,
event_ordering: EO,
es-E: E,
event-ordering+: EO+(Info),
lambda: 
x.A[x],
all: x:A. B[x],
axiom: Ax,
apply: f a,
so_apply: x[s],
mapfilter-class: (f[v] where v from X such that P[v]),
equal: s = t,
universe: Type,
bool: ,
function: x:A B[x],
uall: [x:A]. B[x],
isect: 
x:A. B[x],
member: t T,
eclass: EClass(A[eo; e]),
so_lambda: 
x y.t[x; y]
Lemmas :
eclass_wf,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
bool_wf,
es-filter-image_wf,
ifthenelse_wf,
bag_wf,
single-bag_wf,
empty-bag_wf
\mforall{}[Info,A,B:Type]. \mforall{}[P:A {}\mrightarrow{} \mBbbB{}]. \mforall{}[f:A {}\mrightarrow{} B]. \mforall{}[X:EClass(A)].
((f[v] where v from X such that P[v]) \mmember{} EClass(B))
Date html generated:
2011_08_16-PM-04_13_53
Last ObjectModification:
2011_06_20-AM-00_43_55
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