Nuprl Lemma : es-interface-filter_wf
[Info,A:Type]. [X:EClass(A)]. [P:A 
]. (X|a.P[a] 
EClass({a:A| 
P[a]} ))
Proof not projected
Definitions occuring in Statement :
es-interface-filter: X|a.P[a],
eclass: EClass(A[eo; e]),
assert: b,
bool: ,
uall: [x:A]. B[x],
so_apply: x[s],
member: t T,
set: {x:A| B[x]} ,
function: x:A B[x],
universe: Type
Definitions :
so_lambda: 
x y.t[x; y],
so_lambda: x.t[x],
eclass-compose1: f o X,
es-interface-filter: X|a.P[a],
so_apply: x[s],
member: t T,
eclass: EClass(A[eo; e]),
uall: [x:A]. B[x],
so_apply: x[s1;s2],
all: x:A. B[x],
prop: 
,
nat: 
,
subtype: S 
T
Lemmas :
eclass_wf,
bool_wf,
event-ordering+_wf,
event-ordering+_inc,
es-E_wf,
empty-bag_wf,
bag-filter_wf,
assert_wf,
bag_wf,
nat_wf,
bag-size_wf,
eq_int_wf,
ifthenelse_wf
\mforall{}[Info,A:Type]. \mforall{}[X:EClass(A)]. \mforall{}[P:A {}\mrightarrow{} \mBbbB{}]. (X|a.P[a] \mmember{} EClass(\{a:A| \muparrow{}P[a]\} ))
Date html generated:
2012_01_23-PM-12_25_34
Last ObjectModification:
2011_12_13-PM-02_04_44
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