theorem Th34: :: HILB10_4:34

for n being Nat
for i1, i2, i3 being Element of n st n <> 0 holds
{ p where p is b₁ -element XFinSequence of NAT : ( p . i3 = Product (1 + ((p . i1) * (idseq (p . i2)))) & p . i1 >= 1 ) } is diophantine Subset of (n -xtuples_of NAT)