
theorem LMGSEQ5:
  for D be non empty set,x1,x2,x3,x4,x5 be Element of D
  holds <* x1,x2,x3,x4,x5 *> is Element of (5-tuples_on D)
proof
  let D be non empty set, x1,x2,x3,x4,x5 be Element of D;
  reconsider x12345 = <* x1,x2,x3,x4,x5 *> as FinSequence of D;
P1: len x12345 = 5 by FINSEQ_4:78;
  x12345 in D* by FINSEQ_1:def 11;
  then x12345 in 5-tuples_on D by P1;
  hence thesis;
end;
