
theorem LMGSEQ10:
  for D be non empty set, x1,x2,x3,x4,x5,x6,x7,x8,x9,x10 be Element of D
  holds <* x1,x2,x3,x4,x5 *>^<* x6,x7,x8,x9,x10 *> is
  Element of (10-tuples_on D)
proof
  let D be non empty set, x1,x2,x3,x4,x5,x6,x7,x8,x9,x10 be Element of D;
  reconsider x12345 = <* x1,x2,x3,x4,x5 *> as Element of 5-tuples_on D
  by LMGSEQ5;
  reconsider x67890 = <* x6,x7,x8,x9,x10 *> as Element of 5-tuples_on D
  by LMGSEQ5;
  D c= D;
  hence thesis by FINSEQ_2:109;
end;
