reserve i,j,m,n,k for Nat,
  x,y for set,
  K for Field,
  a,L for Element of K;

theorem Th10:
  {} is FinSequence_of_Jordan_block of L,K
proof
  reconsider F=<*>{} as FinSequence_of_Jordan_block of K by Lm2;
  for i st i in dom F ex n st F.i = Jordan_block(L,n);
  hence thesis by Def3;
end;
