theorem Th16:
for
n being
Nat for
V,
A being
set for
loc being
b2 -valued Function for
d1 being
NonatomicND of
V,
A for
p being
SCPartialNominativePredicate of
V,
A for
d being
object for
size being non
zero Nat for
val being
b8 -element FinSequence st
loc,
val,
size are_correct_wrt d1 &
d = (LocalOverlapSeq (A,loc,val,d1,size)) . (size - 1) & 2
<= n + 1 &
n + 1
< size &
local_overlapping (
V,
A,
d,
((denaming (V,A,(val . (len val)))) . d),
(loc /. (len val)))
in dom p holds
local_overlapping (
V,
A,
((LocalOverlapSeq (A,loc,val,d1,size)) . ((size - n) - 1)),
((denaming (V,A,(val . ((len val) - n)))) . ((LocalOverlapSeq (A,loc,val,d1,size)) . ((size - n) - 1))),
(loc /. ((len val) - n)))
in dom ((SC_Psuperpos_Seq (loc,val,p)) . n)