{ 
[i:Id]. [d:{k:Knd| 
hasloc(k;i)} List].
({k:Knd| (k 
d)} 
r {k:{k:Knd| hasloc(k;i)} | (k d)} ) }
{ Proof }
Definitions occuring in Statement :
hasloc: hasloc(k;i),
Knd: Knd,
Id: Id,
subtype_rel: A r B,
assert: b,
uall: [x:A]. B[x],
set: {x:A| B[x]} ,
list: type List,
l_member: (x l)
Definitions :
uall: [x:A]. B[x],
Id: Id,
Knd: Knd,
member: t T,
all: x:A. B[x],
not: 
A,
le: A 
B,
prop: 
,
implies: P 
Q,
false: False,
squash: 
T,
true: True,
IdLnk: IdLnk,
so_lambda: 
x.t[x],
l_all: (xL.P[x]),
subtype: S T,
l_member: (x l),
decidable: Dec(P),
or: P 
Q,
exists: 
x:A. B[x],
nat: 
,
cand: A c
B,
uimplies: b supposing a,
sq_type: SQType(T),
so_apply: x[s],
guard: {T}
Lemmas :
decidable__assert,
hasloc_wf,
select_wf,
Knd_wf,
assert_wf,
subtype_base_sq,
union_subtype_base,
IdLnk_wf,
Id_wf,
product_subtype_base,
atom2_subtype_base,
l_member_set,
l_member_wf
\mforall{}[i:Id]. \mforall{}[d:\{k:Knd| \muparrow{}hasloc(k;i)\} List]. (\{k:Knd| (k \mmember{} d)\} \msubseteq{}r \{k:\{k:Knd| \muparrow{}hasloc(k;i)\} | (k \mmember{} d)\000C\} )
Date html generated:
2011_08_10-AM-07_51_45
Last ObjectModification:
2011_06_18-AM-08_14_11
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